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MultipolynomialResultants :: Resultant

Resultant -- multipolynomial resultant

Synopsis

Description

i1 : R = ZZ[a,b,c,d][x,y];
i2 : F = matrix{{x^7+3*x^4*y^3+a*x*y^6+b*y^7,x^8+x^5*y^3+c*x*y^7+d*y^8}}

o2 = | x7+3x4y3+xy6a+y7b x8+x5y3+xy7c+y8d |

             1       2
o2 : Matrix R  <--- R
i3 : time Resultant F
     -- used 0.0950977 seconds

        7       8     3 5    8     6         3 4      7       3 3 2      6 2
o3 = - a b*c + a d - a b  + b  + 6a b*c + 18a b c - 7b c - 48a b c  + 21b c 
     ------------------------------------------------------------------------
          3 2 3      5 3      3   4      4 4      3 5     2 6      7     7   
     + 46a b c  - 35b c  - 15a b*c  + 35b c  - 21b c  + 7b c  - b*c  - 6a d -
     ------------------------------------------------------------------------
        4 3        6       4 2           5         4   2         4 2   
     21a b d + 8a*b d + 85a b c*d - 41a*b c*d - 79a b*c d + 85a*b c d +
     ------------------------------------------------------------------------
        4 3         3 3         2 4           5       6       5   2  
     15a c d - 90a*b c d + 50a*b c d - 13a*b*c d + a*c d - 37a b*d  +
     ------------------------------------------------------------------------
        2 4 2      5   2      2 3   2      2 2 2 2      2   3 2     2 4 2  
     20a b d  + 33a c*d  - 66a b c*d  + 78a b c d  - 38a b*c d  + 6a c d  +
     ------------------------------------------------------------------------
        3 2 3      3     3     3 2 3     4 4     2 5      5         2 4   
     16a b d  - 25a b*c*d  + 9a c d  + 2a d  + 6a b  - 12a b*c - 84a b c +
     ------------------------------------------------------------------------
         2 3 2       2 2 3       2   4      6        3 3       6   
     328a b c  - 428a b c  + 178a b*c  + 12a d + 102a b d + 10b d -
     ------------------------------------------------------------------------
         3 2         5          3   2       4 2        3 3       3 3   
     578a b c*d - 22b c*d + 710a b*c d - 12b c d - 178a c d + 68b c d -
     ------------------------------------------------------------------------
        2 4         5        4   2       4 2       4   2        3   2  
     62b c d + 18b*c d + 250a b*d  + 2a*b d  - 282a c*d  + 40a*b c*d  -
     ------------------------------------------------------------------------
           2 2 2          3 2        4 2     2 2 3      2     3      2 2 3  
     104a*b c d  + 80a*b*c d  - 18a*c d  - 4a b d  + 78a b*c*d  - 18a c d  -
     ------------------------------------------------------------------------
        3 4      3 4      2   4        2 4     3 4          5          5    7
     87a d  + 17b d  - 37b c*d  + 23b*c d  - 3c d  + 35a*b*d  - 21a*c*d  + d 
     ------------------------------------------------------------------------
            5     4            4          3 2          2 3           4     5 
     - 12a*b  + 8a b*c + 152a*b c - 656a*b c  + 1128a*b c  - 612a*b*c  - 8a d
     ------------------------------------------------------------------------
           2 3         2 2           2   2        2 3        3   2      4 2  
     - 188a b d + 1188a b c*d - 1884a b*c d + 612a c d - 532a b*d  + 88b d  +
     ------------------------------------------------------------------------
         3   2      3   2      2 2 2         2 3             3       2 4  
     756a c*d  - 64b c*d  - 24b c d  - 196a*b d  - 156a*b*c*d  + 714a d  -
     ------------------------------------------------------------------------
           5        5     5      4        3 2       2 3         4         3 
     114b*d  + 54c*d  + 8b  - 96b c + 432b c  - 864b c  + 648b*c  + 120a*b d
     ------------------------------------------------------------------------
             2               2          3        2   2       2   2       2 3
     - 792a*b c*d + 1512a*b*c d - 648a*c d + 360a b*d  - 648a c*d  + 504b d 
     ------------------------------------------------------------------------
               3          4        4
     + 216b*c*d  - 2052a*d  + 1944d

o3 : ZZ[a, b, c, d]
i4 : R=ZZ/97[t_0..t_3];
i5 : F=matrix{{random(1,R),random(4,R),random(2,R),random(1,R)}}

o5 = | 24t_0-32t_1-26t_2-25t_3
     ------------------------------------------------------------------------
     19t_0^4+19t_0^3t_1-4t_0^2t_1^2+39t_0t_1^3-24t_1^4-6t_0^3t_2-18t_0^2t_1t_
     ------------------------------------------------------------------------
     2+21t_0t_1^2t_2-43t_1^3t_2-20t_0^2t_2^2+19t_0t_1t_2^2+2t_1^2t_2^2-14t_0t
     ------------------------------------------------------------------------
     _2^3+45t_1t_2^3+47t_2^4-25t_0^3t_3-25t_0^2t_1t_3+34t_0t_1^2t_3+38t_1^3t_
     ------------------------------------------------------------------------
     3-34t_0^2t_2t_3-43t_0t_1t_2t_3+16t_1^2t_2t_3-9t_0t_2^2t_3-30t_1t_2^2t_3+
     ------------------------------------------------------------------------
     19t_2^3t_3-12t_0^2t_3^2-35t_0t_1t_3^2+22t_1^2t_3^2-39t_0t_2t_3^2-44t_1t_
     ------------------------------------------------------------------------
     2t_3^2-12t_2^2t_3^2-11t_0t_3^3-43t_1t_3^3+7t_2t_3^3+15t_3^4
     ------------------------------------------------------------------------
     -19t_0^2+39t_0t_1-7t_1^2+43t_0t_2+48t_1t_2+35t_2^2-13t_0t_3+36t_1t_3+11t
     ------------------------------------------------------------------------
     _2t_3-34t_3^2 33t_0+40t_1+11t_2+46t_3 |

             1       4
o5 : Matrix R  <--- R
i6 : time Resultant F
     -- used 0.111663 seconds

o6 = -21

     ZZ
o6 : --
     97

Below we compute the general expression of the resultant of three forms L,Q,C on 2, respectively, linear, quadratic and cubic form.

i7 : -- universal ring of coefficients 
     ZZ[u_(1,0,0),u_(0,1,0),u_(0,0,1),u_(2,0,0),u_(1,1,0),u_(0,2,0),u_(1,0,1),u_(0,1,1),u_(0,0,2),u_(3,0,0),u_(2,1,0),u_(1,2,0),u_(0,3,0),u_(2,0,1),u_(1,1,1),u_(0,2,1),u_(1,0,2),u_(0,1,2),u_(0,3,0)]

o7 = ZZ[u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     ]
         1,0,0   0,1,0   0,0,1   2,0,0   1,1,0   0,2,0   1,0,1   0,1,1   0,0,2   3,0,0   2,1,0   1,2,0   0,3,0   2,0,1   1,1,1   0,2,1   1,0,2   0,1,2   0,3,0

o7 : PolynomialRing
i8 : -- ring of P^2
     oo[t_0,t_1,t_2]

o8 = ZZ[u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     ][t , t , t ]
         1,0,0   0,1,0   0,0,1   2,0,0   1,1,0   0,2,0   1,0,1   0,1,1   0,0,2   3,0,0   2,1,0   1,2,0   0,3,0   2,0,1   1,1,1   0,2,1   1,0,2   0,1,2   0,3,0   0   1   2

o8 : PolynomialRing
i9 : L = u_(1,0,0)*t_0+u_(0,1,0)*t_1+u_(0,0,1)*t_2

o9 = u     t  + u     t  + u     t
      1,0,0 0    0,1,0 1    0,0,1 2

o9 : ZZ[u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     ][t , t , t ]
         1,0,0   0,1,0   0,0,1   2,0,0   1,1,0   0,2,0   1,0,1   0,1,1   0,0,2   3,0,0   2,1,0   1,2,0   0,3,0   2,0,1   1,1,1   0,2,1   1,0,2   0,1,2   0,3,0   0   1   2
i10 : Q = u_(2,0,0)*t_0^2+u_(1,1,0)*t_0*t_1+u_(0,2,0)*t_1^2+u_(1,0,1)*t_0*t_2+u_(0,1,1)*t_1*t_2+u_(0,0,2)*t_2^2

             2                       2                                    2
o10 = u     t  + u     t t  + u     t  + u     t t  + u     t t  + u     t
       2,0,0 0    1,1,0 0 1    0,2,0 1    1,0,1 0 2    0,1,1 1 2    0,0,2 2

o10 : ZZ[u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     ][t , t , t ]
          1,0,0   0,1,0   0,0,1   2,0,0   1,1,0   0,2,0   1,0,1   0,1,1   0,0,2   3,0,0   2,1,0   1,2,0   0,3,0   2,0,1   1,1,1   0,2,1   1,0,2   0,1,2   0,3,0   0   1   2
i11 : C = u_(3,0,0)*t_0^3+u_(2,1,0)*t_0^2*t_1+u_(1,2,0)*t_0*t_1^2+u_(0,3,0)*t_1^3+u_(2,0,1)*t_0^2*t_2+u_(1,1,1)*t_0*t_1*t_2+u_(0,2,1)*t_1^2*t_2+u_(1,0,2)*t_0*t_2^2+u_(0,1,2)*t_1*t_2^2+u_(0,3,0)*t_2^3

             3          2              2          3          2    
o11 = u     t  + u     t t  + u     t t  + u     t  + u     t t  +
       3,0,0 0    2,1,0 0 1    1,2,0 0 1    0,3,0 1    2,0,1 0 2  
      -----------------------------------------------------------------------
                            2              2            2          3
      u     t t t  + u     t t  + u     t t  + u     t t  + u     t
       1,1,1 0 1 2    0,2,1 1 2    1,0,2 0 2    0,1,2 1 2    0,3,0 2

o11 : ZZ[u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     ][t , t , t ]
          1,0,0   0,1,0   0,0,1   2,0,0   1,1,0   0,2,0   1,0,1   0,1,1   0,0,2   3,0,0   2,1,0   1,2,0   0,3,0   2,0,1   1,1,1   0,2,1   1,0,2   0,1,2   0,3,0   0   1   2
i12 : time Resultant {L,Q,C}
     -- used 8.92653 seconds

       6     3     2               5     2           2      
o12 = u     u     u      - 3u     u     u     u     u      +
       0,0,1 0,2,0 3,0,0     0,1,0 0,0,1 0,2,0 0,1,1 3,0,0  
      -----------------------------------------------------------------------
        2     4           2     2        3     3     3     2      
      3u     u     u     u     u      - u     u     u     u      +
        0,1,0 0,0,1 0,2,0 0,1,1 3,0,0    0,1,0 0,0,1 0,1,1 3,0,0  
      -----------------------------------------------------------------------
        2     4     2           2         3     3                       2    
      3u     u     u     u     u      - 6u     u     u     u     u     u     
        0,1,0 0,0,1 0,2,0 0,0,2 3,0,0     0,1,0 0,0,1 0,2,0 0,1,1 0,0,2 3,0,0
      -----------------------------------------------------------------------
          4     2     2           2         4     2           2     2      
      + 3u     u     u     u     u      + 3u     u     u     u     u      -
          0,1,0 0,0,1 0,1,1 0,0,2 3,0,0     0,1,0 0,0,1 0,2,0 0,0,2 3,0,0  
      -----------------------------------------------------------------------
        5                 2     2        6     3     2      
      3u     u     u     u     u      + u     u     u      -
        0,1,0 0,0,1 0,1,1 0,0,2 3,0,0    0,1,0 0,0,2 3,0,0  
      -----------------------------------------------------------------------
       6           2                          5     2                        
      u     u     u     u     u      + u     u     u     u     u     u      +
       0,0,1 1,1,0 0,2,0 3,0,0 2,1,0    0,1,0 0,0,1 0,2,0 1,0,1 3,0,0 2,1,0  
      -----------------------------------------------------------------------
              5                                    
      2u     u     u     u     u     u     u      +
        0,1,0 0,0,1 1,1,0 0,2,0 0,1,1 3,0,0 2,1,0  
      -----------------------------------------------------------------------
             5     2                        
      u     u     u     u     u     u      -
       1,0,0 0,0,1 0,2,0 0,1,1 3,0,0 2,1,0  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      -
        0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 3,0,0 2,1,0  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      -
       0,1,0 0,0,1 1,1,0 0,1,1 3,0,0 2,1,0  
      -----------------------------------------------------------------------
                    4           2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 3,0,0 2,1,0  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      +
       0,1,0 0,0,1 1,0,1 0,1,1 3,0,0 2,1,0  
      -----------------------------------------------------------------------
             2     3     3                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 0,1,1 3,0,0 2,1,0  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      -
        0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 3,0,0 2,1,0  
      -----------------------------------------------------------------------
                    4     2                        
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 3,0,0 2,1,0  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      +
        0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 3,0,0 2,1,0  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      +
        0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 3,0,0 2,1,0  
      -----------------------------------------------------------------------
              2     3                                    
      6u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 0,0,2 3,0,0 2,1,0  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      -
        0,1,0 0,0,1 1,0,1 0,1,1 0,0,2 3,0,0 2,1,0  
      -----------------------------------------------------------------------
              3     2     2                        
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,1,1 0,0,2 3,0,0 2,1,0  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      -
       0,1,0 0,0,1 1,1,0 0,0,2 3,0,0 2,1,0  
      -----------------------------------------------------------------------
              3     2           2                  
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 3,0,0 2,1,0  
      -----------------------------------------------------------------------
       5                 2                  
      u     u     u     u     u     u      +
       0,1,0 0,0,1 1,0,1 0,0,2 3,0,0 2,1,0  
      -----------------------------------------------------------------------
              4                 2                  
      5u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,1,1 0,0,2 3,0,0 2,1,0  
      -----------------------------------------------------------------------
              5     3                    6           2     2      
      2u     u     u     u     u      + u     u     u     u      -
        1,0,0 0,1,0 0,0,2 3,0,0 2,1,0    0,0,1 2,0,0 0,2,0 2,1,0  
      -----------------------------------------------------------------------
             5     2           2               5                       2    
      u     u     u     u     u      - 2u     u     u     u     u     u     
       1,0,0 0,0,1 0,2,0 1,0,1 2,1,0     0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 2,1,0
      -----------------------------------------------------------------------
                      4                       2      
      + 2u     u     u     u     u     u     u      +
          1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 2,1,0  
      -----------------------------------------------------------------------
       2     4           2     2              2     3           2     2      
      u     u     u     u     u      - u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 0,1,1 2,1,0    1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 2,1,0  
      -----------------------------------------------------------------------
        2     4                       2        2     4     2           2    
      2u     u     u     u     u     u      + u     u     u     u     u     
        0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 2,1,0    1,0,0 0,0,1 0,2,0 0,0,2 2,1,0
      -----------------------------------------------------------------------
                2     3                       2      
      - 2u     u     u     u     u     u     u      -
          1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 2,1,0  
      -----------------------------------------------------------------------
        3     3                       2      
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 2,1,0  
      -----------------------------------------------------------------------
        2           3                       2      
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 0,0,2 2,1,0  
      -----------------------------------------------------------------------
              3     2                       2      
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 0,0,2 2,1,0  
      -----------------------------------------------------------------------
       2     2     2     2           2        4     2           2     2      
      u     u     u     u     u     u      + u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,1,1 0,0,2 2,1,0    0,1,0 0,0,1 2,0,0 0,0,2 2,1,0  
      -----------------------------------------------------------------------
        2     2     2           2     2      
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 2,1,0  
      -----------------------------------------------------------------------
             4                 2     2      
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,0,1 0,0,2 2,1,0  
      -----------------------------------------------------------------------
        2     3                 2     2        2     4     3     2      
      2u     u     u     u     u     u      + u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,1,1 0,0,2 2,1,0    1,0,0 0,1,0 0,0,2 2,1,0  
      -----------------------------------------------------------------------
       6     2                           6           2                  
      u     u     u     u     u      - 2u     u     u     u     u      -
       0,0,1 1,1,0 0,2,0 3,0,0 1,2,0     0,0,1 2,0,0 0,2,0 3,0,0 1,2,0  
      -----------------------------------------------------------------------
              5                                    
      2u     u     u     u     u     u     u      +
        0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 3,0,0 1,2,0  
      -----------------------------------------------------------------------
              5     2                        
      2u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 1,0,1 3,0,0 1,2,0  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      -
       0,1,0 0,0,1 0,2,0 1,0,1 3,0,0 1,2,0  
      -----------------------------------------------------------------------
             5     2                        
      u     u     u     u     u     u      +
       0,1,0 0,0,1 1,1,0 0,1,1 3,0,0 1,2,0  
      -----------------------------------------------------------------------
              5                                    
      4u     u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 3,0,0 1,2,0  
      -----------------------------------------------------------------------
              5                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,0,1 1,1,0 0,2,0 0,1,1 3,0,0 1,2,0  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      -
        0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 3,0,0 1,2,0  
      -----------------------------------------------------------------------
                    4                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 3,0,0 1,2,0  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      -
       0,1,0 0,0,1 1,0,1 0,1,1 3,0,0 1,2,0  
      -----------------------------------------------------------------------
        2     4           2                  
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,1,1 3,0,0 1,2,0  
      -----------------------------------------------------------------------
                    4           2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 3,0,0 1,2,0  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      -
       1,0,0 0,0,1 0,2,0 0,1,1 3,0,0 1,2,0  
      -----------------------------------------------------------------------
       2           3     3                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,1,1 3,0,0 1,2,0  
      -----------------------------------------------------------------------
       2     4     2                        
      u     u     u     u     u     u      -
       0,1,0 0,0,1 1,1,0 0,0,2 3,0,0 1,2,0  
      -----------------------------------------------------------------------
        2     4                                    
      4u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 3,0,0 1,2,0  
      -----------------------------------------------------------------------
                    4                                    
      4u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 3,0,0 1,2,0  
      -----------------------------------------------------------------------
        2     4     2                        
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 0,2,0 0,0,2 3,0,0 1,2,0  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      +
        0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 3,0,0 1,2,0  
      -----------------------------------------------------------------------
       4     2     2                        
      u     u     u     u     u     u      +
       0,1,0 0,0,1 1,0,1 0,0,2 3,0,0 1,2,0  
      -----------------------------------------------------------------------
        3     3                                    
      4u     u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 3,0,0 1,2,0  
      -----------------------------------------------------------------------
              2     3                                    
      6u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 3,0,0 1,2,0  
      -----------------------------------------------------------------------
              3     2                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 0,0,2 3,0,0 1,2,0  
      -----------------------------------------------------------------------
        2     2     2     2                        
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,1,1 0,0,2 3,0,0 1,2,0  
      -----------------------------------------------------------------------
        4     2           2                  
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,0,2 3,0,0 1,2,0  
      -----------------------------------------------------------------------
              3     2           2                  
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 3,0,0 1,2,0  
      -----------------------------------------------------------------------
              4                 2                  
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,0,1 0,0,2 3,0,0 1,2,0  
      -----------------------------------------------------------------------
        2     3                 2                  
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,1,1 0,0,2 3,0,0 1,2,0  
      -----------------------------------------------------------------------
        2     4     3                    6                                  
      2u     u     u     u     u      - u     u     u     u     u     u     
        1,0,0 0,1,0 0,0,2 3,0,0 1,2,0    0,0,1 2,0,0 1,1,0 0,2,0 2,1,0 1,2,0
      -----------------------------------------------------------------------
               5                                    
      + u     u     u     u     u     u     u      +
         0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 2,1,0 1,2,0  
      -----------------------------------------------------------------------
             5                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,0,1 1,1,0 0,2,0 1,0,1 2,1,0 1,2,0  
      -----------------------------------------------------------------------
                   4           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 2,1,0 1,2,0  
      -----------------------------------------------------------------------
             5                                    
      u     u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 2,1,0 1,2,0  
      -----------------------------------------------------------------------
             5                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,0,1 2,0,0 0,2,0 0,1,1 2,1,0 1,2,0  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 2,1,0 1,2,0  
      -----------------------------------------------------------------------
                   4                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 2,1,0 1,2,0  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,0,1 0,2,0 1,0,1 0,1,1 2,1,0 1,2,0  
      -----------------------------------------------------------------------
             2     3     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 2,1,0 1,2,0  
      -----------------------------------------------------------------------
                   4           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 2,1,0 1,2,0  
      -----------------------------------------------------------------------
       2           3           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 2,1,0 1,2,0  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 2,1,0 1,2,0  
      -----------------------------------------------------------------------
                    4                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 2,1,0 1,2,0  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,2,0 0,0,2 2,1,0 1,2,0  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 2,1,0 1,2,0  
      -----------------------------------------------------------------------
             2     3                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 2,1,0 1,2,0  
      -----------------------------------------------------------------------
        2           3                                    
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 2,1,0 1,2,0  
      -----------------------------------------------------------------------
             3     2     2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,0,1 0,0,2 2,1,0 1,2,0  
      -----------------------------------------------------------------------
              2     3                                    
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 2,1,0 1,2,0  
      -----------------------------------------------------------------------
       2           3                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 2,1,0 1,2,0  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,0,1 0,2,0 0,1,1 0,0,2 2,1,0 1,2,0  
      -----------------------------------------------------------------------
        2     2     2                                    
      4u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 0,0,2 2,1,0 1,2,0  
      -----------------------------------------------------------------------
       3           2     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 0,1,1 0,0,2 2,1,0 1,2,0  
      -----------------------------------------------------------------------
              3     2           2                  
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 2,1,0 1,2,0  
      -----------------------------------------------------------------------
       2     2     2           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 2,1,0 1,2,0  
      -----------------------------------------------------------------------
        3           2           2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 2,1,0 1,2,0  
      -----------------------------------------------------------------------
        2     3                 2                  
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,0,1 0,0,2 2,1,0 1,2,0  
      -----------------------------------------------------------------------
        3     2                 2                  
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,1,1 0,0,2 2,1,0 1,2,0  
      -----------------------------------------------------------------------
        3     3     3                    6     2           2      
      2u     u     u     u     u      + u     u     u     u      -
        1,0,0 0,1,0 0,0,2 2,1,0 1,2,0    0,0,1 2,0,0 0,2,0 1,2,0  
      -----------------------------------------------------------------------
              5                       2        2     4           2     2    
      2u     u     u     u     u     u      + u     u     u     u     u     
        1,0,0 0,0,1 2,0,0 0,2,0 1,0,1 1,2,0    1,0,0 0,0,1 0,2,0 1,0,1 1,2,0
      -----------------------------------------------------------------------
               5     2           2      
      - u     u     u     u     u      +
         0,1,0 0,0,1 2,0,0 0,1,1 1,2,0  
      -----------------------------------------------------------------------
                    4                       2      
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 1,2,0  
      -----------------------------------------------------------------------
       2           3     2           2        2     4     2           2      
      u     u     u     u     u     u      + u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 1,2,0    0,1,0 0,0,1 2,0,0 0,0,2 1,2,0  
      -----------------------------------------------------------------------
        2     4                       2      
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,2,0 0,0,2 1,2,0  
      -----------------------------------------------------------------------
              2     3                       2      
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 1,2,0  
      -----------------------------------------------------------------------
        3     3                       2      
      2u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 1,0,1 0,0,2 1,2,0  
      -----------------------------------------------------------------------
       2     2     2     2           2      
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,0,1 0,0,2 1,2,0  
      -----------------------------------------------------------------------
        2           3                       2      
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 1,2,0  
      -----------------------------------------------------------------------
        3           2                       2      
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 0,0,2 1,2,0  
      -----------------------------------------------------------------------
        2     2     2           2     2        4     2           2     2    
      2u     u     u     u     u     u      + u     u     u     u     u     
        1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 1,2,0    1,0,0 0,0,1 0,2,0 0,0,2 1,2,0
      -----------------------------------------------------------------------
          3     2                 2     2      
      - 2u     u     u     u     u     u      -
          1,0,0 0,1,0 0,0,1 1,0,1 0,0,2 1,2,0  
      -----------------------------------------------------------------------
       4                       2     2        4     2     3     2      
      u     u     u     u     u     u      + u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,1,1 0,0,2 1,2,0    1,0,0 0,1,0 0,0,2 1,2,0  
      -----------------------------------------------------------------------
             5           2                           5     3                
      u     u     u     u     u     u      - 2u     u     u     u     u     
       0,1,0 0,0,1 1,1,0 0,2,0 3,0,0 2,0,1     1,0,0 0,0,1 0,2,0 3,0,0 2,0,1
      -----------------------------------------------------------------------
         2     4     2                        
      - u     u     u     u     u     u      -
         0,1,0 0,0,1 0,2,0 1,0,1 3,0,0 2,0,1  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      +
        0,1,0 0,0,1 1,1,0 0,2,0 0,1,1 3,0,0 2,0,1  
      -----------------------------------------------------------------------
                    4     2                        
      5u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 3,0,0 2,0,1  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      +
        0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 3,0,0 2,0,1  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      -
       0,1,0 0,0,1 1,1,0 0,1,1 3,0,0 2,0,1  
      -----------------------------------------------------------------------
              2     3           2                  
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 3,0,0 2,0,1  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      +
       0,1,0 0,0,1 1,0,1 0,1,1 3,0,0 2,0,1  
      -----------------------------------------------------------------------
             3     2     3                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,1,1 3,0,0 2,0,1  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      -
        0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 3,0,0 2,0,1  
      -----------------------------------------------------------------------
              2     3     2                        
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 3,0,0 2,0,1  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      -
        0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 3,0,0 2,0,1  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      +
        0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 3,0,0 2,0,1  
      -----------------------------------------------------------------------
              3     2                                    
      6u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 0,0,2 3,0,0 2,0,1  
      -----------------------------------------------------------------------
        5                                          
      2u     u     u     u     u     u     u      -
        0,1,0 0,0,1 1,0,1 0,1,1 0,0,2 3,0,0 2,0,1  
      -----------------------------------------------------------------------
              4           2                        
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,1,1 0,0,2 3,0,0 2,0,1  
      -----------------------------------------------------------------------
       5                 2                  
      u     u     u     u     u     u      -
       0,1,0 0,0,1 1,1,0 0,0,2 3,0,0 2,0,1  
      -----------------------------------------------------------------------
              4                 2                  
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 3,0,0 2,0,1  
      -----------------------------------------------------------------------
       6           2                          5           2                  
      u     u     u     u     u      + u     u     u     u     u     u      -
       0,1,0 1,0,1 0,0,2 3,0,0 2,0,1    1,0,0 0,1,0 0,1,1 0,0,2 3,0,0 2,0,1  
      -----------------------------------------------------------------------
              5           2                  
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,2,0 2,1,0 2,0,1  
      -----------------------------------------------------------------------
             5           2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,2,0 2,1,0 2,0,1  
      -----------------------------------------------------------------------
                   4     2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 2,1,0 2,0,1  
      -----------------------------------------------------------------------
        2     4                                    
      4u     u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 2,1,0 2,0,1  
      -----------------------------------------------------------------------
                    4                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,1,1 2,1,0 2,0,1  
      -----------------------------------------------------------------------
       2     4     2                        
      u     u     u     u     u     u      -
       1,0,0 0,0,1 0,2,0 0,1,1 2,1,0 2,0,1  
      -----------------------------------------------------------------------
              2     3                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 2,1,0 2,0,1  
      -----------------------------------------------------------------------
        3     3           2                  
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,1,1 2,1,0 2,0,1  
      -----------------------------------------------------------------------
             2     3           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 2,1,0 2,0,1  
      -----------------------------------------------------------------------
        2           3           2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 2,1,0 2,0,1  
      -----------------------------------------------------------------------
             3     2           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 2,1,0 2,0,1  
      -----------------------------------------------------------------------
       2     2     2     3                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 0,1,1 2,1,0 2,0,1  
      -----------------------------------------------------------------------
        3     3                                    
      4u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 2,1,0 2,0,1  
      -----------------------------------------------------------------------
              2     3                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 2,1,0 2,0,1  
      -----------------------------------------------------------------------
              3     2                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 2,1,0 2,0,1  
      -----------------------------------------------------------------------
        4     2                                    
      4u     u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 2,1,0 2,0,1  
      -----------------------------------------------------------------------
              3     2                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 2,1,0 2,0,1  
      -----------------------------------------------------------------------
        2     2     2                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 0,0,2 2,1,0 2,0,1  
      -----------------------------------------------------------------------
              4                                          
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 0,0,2 2,1,0 2,0,1  
      -----------------------------------------------------------------------
        2     3           2                        
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,1,1 0,0,2 2,1,0 2,0,1  
      -----------------------------------------------------------------------
        5                 2                  
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,0,2 2,1,0 2,0,1  
      -----------------------------------------------------------------------
             4                 2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 2,1,0 2,0,1  
      -----------------------------------------------------------------------
             5           2                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 1,0,1 0,0,2 2,1,0 2,0,1  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,1,1 0,0,2 2,1,0 2,0,1  
      -----------------------------------------------------------------------
             5                                    
      u     u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 1,2,0 2,0,1  
      -----------------------------------------------------------------------
             5     2                        
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,2,0 1,2,0 2,0,1  
      -----------------------------------------------------------------------
              5           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,2,0 1,2,0 2,0,1  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 1,2,0 2,0,1  
      -----------------------------------------------------------------------
                   4                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 1,2,0 2,0,1  
      -----------------------------------------------------------------------
        2     4     2                        
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 0,2,0 1,0,1 1,2,0 2,0,1  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 1,2,0 2,0,1  
      -----------------------------------------------------------------------
                   4     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 1,2,0 2,0,1  
      -----------------------------------------------------------------------
                    4                                    
      5u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 1,2,0 2,0,1  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,0,1 1,1,0 0,2,0 0,1,1 1,2,0 2,0,1  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 1,2,0 2,0,1  
      -----------------------------------------------------------------------
             2     3                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 1,2,0 2,0,1  
      -----------------------------------------------------------------------
        2           3                                    
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 1,2,0 2,0,1  
      -----------------------------------------------------------------------
              2     3           2                  
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 1,2,0 2,0,1  
      -----------------------------------------------------------------------
        2           3           2                  
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 1,2,0 2,0,1  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      -
       1,0,0 0,0,1 0,2,0 0,1,1 1,2,0 2,0,1  
      -----------------------------------------------------------------------
       2     2     2           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 1,2,0 2,0,1  
      -----------------------------------------------------------------------
       3           2     3                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,1,1 1,2,0 2,0,1  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 1,2,0 2,0,1  
      -----------------------------------------------------------------------
             2     3     2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 1,2,0 2,0,1  
      -----------------------------------------------------------------------
              2     3                                    
      6u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 1,2,0 2,0,1  
      -----------------------------------------------------------------------
        2           3                                    
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 1,2,0 2,0,1  
      -----------------------------------------------------------------------
        3     3     2                        
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 0,2,0 0,0,2 1,2,0 2,0,1  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 1,2,0 2,0,1  
      -----------------------------------------------------------------------
             3     2                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 1,2,0 2,0,1  
      -----------------------------------------------------------------------
        2     2     2                                    
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 1,2,0 2,0,1  
      -----------------------------------------------------------------------
              3     2                                    
      7u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 1,2,0 2,0,1  
      -----------------------------------------------------------------------
        2     2     2                                    
      5u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 1,2,0 2,0,1  
      -----------------------------------------------------------------------
       3           2                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 0,0,2 1,2,0 2,0,1  
      -----------------------------------------------------------------------
        2     3                                          
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 0,0,2 1,2,0 2,0,1  
      -----------------------------------------------------------------------
        3     2           2                        
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,1,1 0,0,2 1,2,0 2,0,1  
      -----------------------------------------------------------------------
              4                 2                  
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 1,2,0 2,0,1  
      -----------------------------------------------------------------------
        2     3                 2                  
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 1,2,0 2,0,1  
      -----------------------------------------------------------------------
        3     2                 2                  
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 1,2,0 2,0,1  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 1,0,1 0,0,2 1,2,0 2,0,1  
      -----------------------------------------------------------------------
       3     3           2                    2     4           2     2      
      u     u     u     u     u     u      + u     u     u     u     u      -
       1,0,0 0,1,0 0,1,1 0,0,2 1,2,0 2,0,1    0,1,0 0,0,1 2,0,0 0,2,0 2,0,1  
      -----------------------------------------------------------------------
                   4           2     2        2     4     3     2      
      u     u     u     u     u     u      + u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 2,0,1    1,0,0 0,0,1 0,2,0 2,0,1  
      -----------------------------------------------------------------------
        3     3                       2      
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 2,0,1  
      -----------------------------------------------------------------------
              2     3                       2      
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,1,1 2,0,1  
      -----------------------------------------------------------------------
        2           3     2           2        4     2           2     2    
      2u     u     u     u     u     u      + u     u     u     u     u     
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 2,0,1    0,1,0 0,0,1 2,0,0 0,1,1 2,0,1
      -----------------------------------------------------------------------
               3     2           2     2      
      - u     u     u     u     u     u      +
         1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 2,0,1  
      -----------------------------------------------------------------------
       2     2     2           2     2      
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 2,0,1  
      -----------------------------------------------------------------------
        4     2                       2      
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 2,0,1  
      -----------------------------------------------------------------------
              3     2                       2      
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 2,0,1  
      -----------------------------------------------------------------------
        2     2     2     2           2      
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 2,0,1  
      -----------------------------------------------------------------------
        5                             2      
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 2,0,1  
      -----------------------------------------------------------------------
              4                             2      
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 2,0,1  
      -----------------------------------------------------------------------
        2     3                             2        6           2     2    
      2u     u     u     u     u     u     u      + u     u     u     u     
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 0,0,2 2,0,1    0,1,0 2,0,0 0,0,2 2,0,1
      -----------------------------------------------------------------------
               5           2     2        2     4           2     2      
      - u     u     u     u     u      + u     u     u     u     u      -
         1,0,0 0,1,0 1,1,0 0,0,2 2,0,1    1,0,0 0,1,0 0,2,0 0,0,2 2,0,1  
      -----------------------------------------------------------------------
             5     2                        
      u     u     u     u     u     u      +
       0,1,0 0,0,1 1,1,0 0,2,0 3,0,0 1,1,1  
      -----------------------------------------------------------------------
              5           2                  
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,2,0 3,0,0 1,1,1  
      -----------------------------------------------------------------------
             5           2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,2,0 3,0,0 1,1,1  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      -
        0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 3,0,0 1,1,1  
      -----------------------------------------------------------------------
                    4     2                        
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 3,0,0 1,1,1  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      +
       0,1,0 0,0,1 0,2,0 1,0,1 3,0,0 1,1,1  
      -----------------------------------------------------------------------
       2     4     2                        
      u     u     u     u     u     u      -
       0,1,0 0,0,1 1,1,0 0,1,1 3,0,0 1,1,1  
      -----------------------------------------------------------------------
        2     4                                    
      4u     u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 3,0,0 1,1,1  
      -----------------------------------------------------------------------
       2     4     2                        
      u     u     u     u     u     u      -
       1,0,0 0,0,1 0,2,0 0,1,1 3,0,0 1,1,1  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      +
        0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 3,0,0 1,1,1  
      -----------------------------------------------------------------------
              2     3                                    
      4u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 3,0,0 1,1,1  
      -----------------------------------------------------------------------
       4     2     2                        
      u     u     u     u     u     u      +
       0,1,0 0,0,1 1,0,1 0,1,1 3,0,0 1,1,1  
      -----------------------------------------------------------------------
        3     3           2                  
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,1,1 3,0,0 1,1,1  
      -----------------------------------------------------------------------
             2     3           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 3,0,0 1,1,1  
      -----------------------------------------------------------------------
       2           3           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 3,0,0 1,1,1  
      -----------------------------------------------------------------------
             3     2           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 3,0,0 1,1,1  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      +
       0,1,0 0,0,1 1,1,0 0,0,2 3,0,0 1,1,1  
      -----------------------------------------------------------------------
        3     3                                    
      4u     u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 3,0,0 1,1,1  
      -----------------------------------------------------------------------
              2     3                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 3,0,0 1,1,1  
      -----------------------------------------------------------------------
        2           3     2                        
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 3,0,0 1,1,1  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      -
        0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 3,0,0 1,1,1  
      -----------------------------------------------------------------------
              3     2                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 3,0,0 1,1,1  
      -----------------------------------------------------------------------
       5           2                        
      u     u     u     u     u     u      -
       0,1,0 0,0,1 1,0,1 0,0,2 3,0,0 1,1,1  
      -----------------------------------------------------------------------
        4     2                                    
      4u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 3,0,0 1,1,1  
      -----------------------------------------------------------------------
              3     2                                    
      4u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 3,0,0 1,1,1  
      -----------------------------------------------------------------------
        2     2     2                                    
      6u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 0,0,2 3,0,0 1,1,1  
      -----------------------------------------------------------------------
       2     3           2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,1,1 0,0,2 3,0,0 1,1,1  
      -----------------------------------------------------------------------
        5                 2                  
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,0,2 3,0,0 1,1,1  
      -----------------------------------------------------------------------
              4                 2                  
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 3,0,0 1,1,1  
      -----------------------------------------------------------------------
        2     3                 2                  
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 3,0,0 1,1,1  
      -----------------------------------------------------------------------
             5           2                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 1,0,1 0,0,2 3,0,0 1,1,1  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,1,1 0,0,2 3,0,0 1,1,1  
      -----------------------------------------------------------------------
             5                                    
      u     u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 2,1,0 1,1,1  
      -----------------------------------------------------------------------
              5           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,2,0 2,1,0 1,1,1  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 2,1,0 1,1,1  
      -----------------------------------------------------------------------
                   4                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 2,1,0 1,1,1  
      -----------------------------------------------------------------------
        2     4     2                        
      2u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 1,0,1 2,1,0 1,1,1  
      -----------------------------------------------------------------------
             2     3           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 2,1,0 1,1,1  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 2,1,0 1,1,1  
      -----------------------------------------------------------------------
                    4                                    
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 2,1,0 1,1,1  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 2,1,0 1,1,1  
      -----------------------------------------------------------------------
             2     3                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 2,1,0 1,1,1  
      -----------------------------------------------------------------------
        2           3                                    
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 2,1,0 1,1,1  
      -----------------------------------------------------------------------
             3     2     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 2,1,0 1,1,1  
      -----------------------------------------------------------------------
             2     3           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 2,1,0 1,1,1  
      -----------------------------------------------------------------------
       2     2     2           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 2,1,0 1,1,1  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 2,1,0 1,1,1  
      -----------------------------------------------------------------------
              2     3                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 2,1,0 1,1,1  
      -----------------------------------------------------------------------
       2           3                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 2,1,0 1,1,1  
      -----------------------------------------------------------------------
        3     3     2                        
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 0,2,0 0,0,2 2,1,0 1,1,1  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 2,1,0 1,1,1  
      -----------------------------------------------------------------------
             3     2                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 2,1,0 1,1,1  
      -----------------------------------------------------------------------
       2     2     2                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 2,1,0 1,1,1  
      -----------------------------------------------------------------------
             4           2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,0,1 0,0,2 2,1,0 1,1,1  
      -----------------------------------------------------------------------
             3     2                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 2,1,0 1,1,1  
      -----------------------------------------------------------------------
       2     2     2                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 2,1,0 1,1,1  
      -----------------------------------------------------------------------
        3           2                                    
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 0,0,2 2,1,0 1,1,1  
      -----------------------------------------------------------------------
       3     2           2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,1,1 0,0,2 2,1,0 1,1,1  
      -----------------------------------------------------------------------
       2     3                 2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 2,1,0 1,1,1  
      -----------------------------------------------------------------------
        3     2                 2                  
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 2,1,0 1,1,1  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 1,0,1 0,0,2 2,1,0 1,1,1  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,1,1 0,0,2 2,1,0 1,1,1  
      -----------------------------------------------------------------------
              5     2                        
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,2,0 1,2,0 1,1,1  
      -----------------------------------------------------------------------
             5                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,0,1 2,0,0 1,1,0 0,2,0 1,2,0 1,1,1  
      -----------------------------------------------------------------------
                    4                                    
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 1,2,0 1,1,1  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,0,1 1,1,0 0,2,0 1,0,1 1,2,0 1,1,1  
      -----------------------------------------------------------------------
       2           3           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 1,2,0 1,1,1  
      -----------------------------------------------------------------------
        2     4     2                        
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,1,1 1,2,0 1,1,1  
      -----------------------------------------------------------------------
                   4                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 1,2,0 1,1,1  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,0,1 2,0,0 0,2,0 0,1,1 1,2,0 1,1,1  
      -----------------------------------------------------------------------
              2     3                                    
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 1,2,0 1,1,1  
      -----------------------------------------------------------------------
       2           3                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 1,2,0 1,1,1  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,0,1 0,2,0 1,0,1 0,1,1 1,2,0 1,1,1  
      -----------------------------------------------------------------------
       2     2     2     2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 1,2,0 1,1,1  
      -----------------------------------------------------------------------
       2           3           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 1,2,0 1,1,1  
      -----------------------------------------------------------------------
       3           2           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 1,2,0 1,1,1  
      -----------------------------------------------------------------------
        3     3     2                        
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,0,2 1,2,0 1,1,1  
      -----------------------------------------------------------------------
             2     3                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 1,2,0 1,1,1  
      -----------------------------------------------------------------------
        2           3                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 1,2,0 1,1,1  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,2,0 0,0,2 1,2,0 1,1,1  
      -----------------------------------------------------------------------
              3     2                                    
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 1,2,0 1,1,1  
      -----------------------------------------------------------------------
       2     2     2                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 1,2,0 1,1,1  
      -----------------------------------------------------------------------
       3           2                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 1,2,0 1,1,1  
      -----------------------------------------------------------------------
       2     3           2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,0,1 0,0,2 1,2,0 1,1,1  
      -----------------------------------------------------------------------
       2     2     2                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 1,2,0 1,1,1  
      -----------------------------------------------------------------------
       3           2                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 1,2,0 1,1,1  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,0,1 0,2,0 0,1,1 0,0,2 1,2,0 1,1,1  
      -----------------------------------------------------------------------
       4                 2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 0,1,1 0,0,2 1,2,0 1,1,1  
      -----------------------------------------------------------------------
        2     3                 2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 1,2,0 1,1,1  
      -----------------------------------------------------------------------
       3     2                 2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 1,2,0 1,1,1  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 1,0,1 0,0,2 1,2,0 1,1,1  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,1,1 0,0,2 1,2,0 1,1,1  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 2,0,1 1,1,1  
      -----------------------------------------------------------------------
                   4     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 2,0,1 1,1,1  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,2,0 2,0,1 1,1,1  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 2,0,1 1,1,1  
      -----------------------------------------------------------------------
             2     3                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 2,0,1 1,1,1  
      -----------------------------------------------------------------------
       2           3     2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 2,0,1 1,1,1  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 2,0,1 1,1,1  
      -----------------------------------------------------------------------
             2     3     2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 2,0,1 1,1,1  
      -----------------------------------------------------------------------
             2     3                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 2,0,1 1,1,1  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      -
       1,0,0 0,0,1 0,2,0 0,1,1 2,0,1 1,1,1  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 2,0,1 1,1,1  
      -----------------------------------------------------------------------
             3     2                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 2,0,1 1,1,1  
      -----------------------------------------------------------------------
       2     2     2                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 2,0,1 1,1,1  
      -----------------------------------------------------------------------
             3     2           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 2,0,1 1,1,1  
      -----------------------------------------------------------------------
       2     2     2           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 2,0,1 1,1,1  
      -----------------------------------------------------------------------
       3           2           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 2,0,1 1,1,1  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 2,0,1 1,1,1  
      -----------------------------------------------------------------------
             3     2     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 2,0,1 1,1,1  
      -----------------------------------------------------------------------
              3     2                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 2,0,1 1,1,1  
      -----------------------------------------------------------------------
       2     2     2                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 2,0,1 1,1,1  
      -----------------------------------------------------------------------
        3           2     2                        
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 2,0,1 1,1,1  
      -----------------------------------------------------------------------
       5                                          
      u     u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 2,0,1 1,1,1  
      -----------------------------------------------------------------------
             4                                          
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 2,0,1 1,1,1  
      -----------------------------------------------------------------------
       2     3                                          
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 2,0,1 1,1,1  
      -----------------------------------------------------------------------
              4                                          
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 2,0,1 1,1,1  
      -----------------------------------------------------------------------
        2     3                                          
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 2,0,1 1,1,1  
      -----------------------------------------------------------------------
        3     2                                          
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 0,0,2 2,0,1 1,1,1  
      -----------------------------------------------------------------------
              5           2                  
      2u     u     u     u     u     u      +
        1,0,0 0,1,0 2,0,0 0,0,2 2,0,1 1,1,1  
      -----------------------------------------------------------------------
        2     4           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 1,1,0 0,0,2 2,0,1 1,1,1  
      -----------------------------------------------------------------------
        3     3           2                    2     4     2           2    
      2u     u     u     u     u     u      + u     u     u     u     u     
        1,0,0 0,1,0 0,2,0 0,0,2 2,0,1 1,1,1    0,1,0 0,0,1 2,0,0 0,2,0 1,1,1
      -----------------------------------------------------------------------
                     4                       2      
      - u     u     u     u     u     u     u      +
         1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 1,1,1  
      -----------------------------------------------------------------------
       2     4           2     2      
      u     u     u     u     u      -
       1,0,0 0,0,1 2,0,0 0,2,0 1,1,1  
      -----------------------------------------------------------------------
             2     3                       2      
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 1,1,1  
      -----------------------------------------------------------------------
       2           3                       2      
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 1,1,1  
      -----------------------------------------------------------------------
       3     3     2           2        3     3     2           2      
      u     u     u     u     u      - u     u     u     u     u      +
       1,0,0 0,0,1 0,2,0 1,0,1 1,1,1    0,1,0 0,0,1 2,0,0 0,1,1 1,1,1  
      -----------------------------------------------------------------------
             2     3                       2      
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 1,1,1  
      -----------------------------------------------------------------------
       2           3                       2      
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 1,1,1  
      -----------------------------------------------------------------------
             3     2                       2      
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 1,1,1  
      -----------------------------------------------------------------------
       2     2     2                       2      
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 1,1,1  
      -----------------------------------------------------------------------
       3           2                       2      
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 1,1,1  
      -----------------------------------------------------------------------
       4     2     2           2      
      u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 0,0,2 1,1,1  
      -----------------------------------------------------------------------
             3     2                       2      
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 1,1,1  
      -----------------------------------------------------------------------
        2     2     2                       2      
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 1,1,1  
      -----------------------------------------------------------------------
       3           2                       2      
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 1,1,1  
      -----------------------------------------------------------------------
       4     2     2           2      
      u     u     u     u     u      -
       1,0,0 0,0,1 0,2,0 0,0,2 1,1,1  
      -----------------------------------------------------------------------
             4                             2      
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 1,1,1  
      -----------------------------------------------------------------------
       2     3                             2      
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 1,1,1  
      -----------------------------------------------------------------------
       3     2                             2      
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 1,1,1  
      -----------------------------------------------------------------------
       2     3                             2      
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 1,1,1  
      -----------------------------------------------------------------------
       3     2                             2      
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 1,1,1  
      -----------------------------------------------------------------------
       4                                   2      
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 0,0,2 1,1,1  
      -----------------------------------------------------------------------
       2     4           2     2        3     3           2     2      
      u     u     u     u     u      - u     u     u     u     u      +
       1,0,0 0,1,0 2,0,0 0,0,2 1,1,1    1,0,0 0,1,0 1,1,0 0,0,2 1,1,1  
      -----------------------------------------------------------------------
       4     2           2     2              5     3                  
      u     u     u     u     u      + u     u     u     u     u      -
       1,0,0 0,1,0 0,2,0 0,0,2 1,1,1    0,1,0 0,0,1 1,1,0 3,0,0 0,2,1  
      -----------------------------------------------------------------------
              5                                    
      3u     u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 3,0,0 0,2,1  
      -----------------------------------------------------------------------
             5     2                        
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,2,0 3,0,0 0,2,1  
      -----------------------------------------------------------------------
              5           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,2,0 3,0,0 0,2,1  
      -----------------------------------------------------------------------
        2     4     2                        
      3u     u     u     u     u     u      +
        0,1,0 0,0,1 1,1,0 1,0,1 3,0,0 0,2,1  
      -----------------------------------------------------------------------
        2     4                                    
      3u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 3,0,0 0,2,1  
      -----------------------------------------------------------------------
                    4                                    
      5u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 3,0,0 0,2,1  
      -----------------------------------------------------------------------
        2     4     2                        
      2u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 1,0,1 3,0,0 0,2,1  
      -----------------------------------------------------------------------
        3     3           2                  
      3u     u     u     u     u     u      -
        0,1,0 0,0,1 1,1,0 1,0,1 3,0,0 0,2,1  
      -----------------------------------------------------------------------
              2     3           2                  
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 3,0,0 0,2,1  
      -----------------------------------------------------------------------
       4     2     3                  
      u     u     u     u     u      +
       0,1,0 0,0,1 1,0,1 3,0,0 0,2,1  
      -----------------------------------------------------------------------
        2     4                                    
      3u     u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 3,0,0 0,2,1  
      -----------------------------------------------------------------------
                    4     2                        
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 3,0,0 0,2,1  
      -----------------------------------------------------------------------
                   4                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 3,0,0 0,2,1  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,0,1 1,1,0 0,2,0 0,1,1 3,0,0 0,2,1  
      -----------------------------------------------------------------------
        3     3                                    
      3u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 3,0,0 0,2,1  
      -----------------------------------------------------------------------
             2     3                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 3,0,0 0,2,1  
      -----------------------------------------------------------------------
       2           3                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 3,0,0 0,2,1  
      -----------------------------------------------------------------------
             3     2     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 3,0,0 0,2,1  
      -----------------------------------------------------------------------
             2     3           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 3,0,0 0,2,1  
      -----------------------------------------------------------------------
       2           3           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 3,0,0 0,2,1  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      -
       1,0,0 0,0,1 0,2,0 0,1,1 3,0,0 0,2,1  
      -----------------------------------------------------------------------
        3     3                                    
      3u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 3,0,0 0,2,1  
      -----------------------------------------------------------------------
              2     3     2                        
      5u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 3,0,0 0,2,1  
      -----------------------------------------------------------------------
              2     3                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 3,0,0 0,2,1  
      -----------------------------------------------------------------------
        2           3                                    
      7u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 3,0,0 0,2,1  
      -----------------------------------------------------------------------
        3     3     2                        
      2u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 0,0,2 3,0,0 0,2,1  
      -----------------------------------------------------------------------
        4     2                                    
      3u     u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 3,0,0 0,2,1  
      -----------------------------------------------------------------------
              3     2                                    
      7u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 3,0,0 0,2,1  
      -----------------------------------------------------------------------
        2     2     2                                    
      9u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 3,0,0 0,2,1  
      -----------------------------------------------------------------------
              4           2                        
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,0,1 0,0,2 3,0,0 0,2,1  
      -----------------------------------------------------------------------
              3     2                                    
      5u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 3,0,0 0,2,1  
      -----------------------------------------------------------------------
        2     2     2                                    
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 3,0,0 0,2,1  
      -----------------------------------------------------------------------
        3           2                                    
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 0,0,2 3,0,0 0,2,1  
      -----------------------------------------------------------------------
        2     3                                          
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 0,0,2 3,0,0 0,2,1  
      -----------------------------------------------------------------------
              4                 2                  
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 3,0,0 0,2,1  
      -----------------------------------------------------------------------
        2     3                 2                  
      5u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 3,0,0 0,2,1  
      -----------------------------------------------------------------------
        3     2                 2                  
      6u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 3,0,0 0,2,1  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 1,0,1 0,0,2 3,0,0 0,2,1  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,1,1 0,0,2 3,0,0 0,2,1  
      -----------------------------------------------------------------------
             5           2                  
      u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,1,0 2,1,0 0,2,1  
      -----------------------------------------------------------------------
              5     2                        
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,2,0 2,1,0 0,2,1  
      -----------------------------------------------------------------------
             5                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,0,1 2,0,0 1,1,0 0,2,0 2,1,0 0,2,1  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 1,1,0 1,0,1 2,1,0 0,2,1  
      -----------------------------------------------------------------------
                   4     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 2,1,0 0,2,1  
      -----------------------------------------------------------------------
                    4                                    
      5u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 2,1,0 0,2,1  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,0,1 1,1,0 0,2,0 1,0,1 2,1,0 0,2,1  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,0,1 2,1,0 0,2,1  
      -----------------------------------------------------------------------
              2     3           2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 2,1,0 0,2,1  
      -----------------------------------------------------------------------
        2           3           2                  
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 2,1,0 0,2,1  
      -----------------------------------------------------------------------
             3     2     3                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,0,1 2,1,0 0,2,1  
      -----------------------------------------------------------------------
        2     4     2                        
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,1,1 2,1,0 0,2,1  
      -----------------------------------------------------------------------
                   4                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 2,1,0 0,2,1  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,0,1 2,0,0 0,2,0 0,1,1 2,1,0 0,2,1  
      -----------------------------------------------------------------------
              2     3                                    
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 2,1,0 0,2,1  
      -----------------------------------------------------------------------
       2           3                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 2,1,0 0,2,1  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,0,1 0,2,0 1,0,1 0,1,1 2,1,0 0,2,1  
      -----------------------------------------------------------------------
       2     2     2     2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 2,1,0 0,2,1  
      -----------------------------------------------------------------------
        3     3     2                        
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,0,2 2,1,0 0,2,1  
      -----------------------------------------------------------------------
              2     3                                    
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 2,1,0 0,2,1  
      -----------------------------------------------------------------------
       2           3     2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 2,1,0 0,2,1  
      -----------------------------------------------------------------------
        2           3                                    
      6u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 2,1,0 0,2,1  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,0,1 1,1,0 0,2,0 0,0,2 2,1,0 0,2,1  
      -----------------------------------------------------------------------
             3     2                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 2,1,0 0,2,1  
      -----------------------------------------------------------------------
        2     2     2                                    
      5u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 2,1,0 0,2,1  
      -----------------------------------------------------------------------
        3           2                                    
      7u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 2,1,0 0,2,1  
      -----------------------------------------------------------------------
        2     3           2                        
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,0,1 0,0,2 2,1,0 0,2,1  
      -----------------------------------------------------------------------
        2     2     2                                    
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 2,1,0 0,2,1  
      -----------------------------------------------------------------------
       3           2                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 2,1,0 0,2,1  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,0,1 0,2,0 0,1,1 0,0,2 2,1,0 0,2,1  
      -----------------------------------------------------------------------
        3     2                                          
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 0,0,2 2,1,0 0,2,1  
      -----------------------------------------------------------------------
        2     3                 2                  
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 2,1,0 0,2,1  
      -----------------------------------------------------------------------
        3     2                 2                  
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 2,1,0 0,2,1  
      -----------------------------------------------------------------------
        4                       2                  
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 2,1,0 0,2,1  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 1,0,1 0,0,2 2,1,0 0,2,1  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,1,1 0,0,2 2,1,0 0,2,1  
      -----------------------------------------------------------------------
             5     2                        
      u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,1,0 1,2,0 0,2,1  
      -----------------------------------------------------------------------
              5     2                        
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,2,0 1,2,0 0,2,1  
      -----------------------------------------------------------------------
       2     4     2                        
      u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,0,1 1,2,0 0,2,1  
      -----------------------------------------------------------------------
                    4                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 1,0,1 1,2,0 0,2,1  
      -----------------------------------------------------------------------
        2     4                                    
      4u     u     u     u     u     u     u      +
        1,0,0 0,0,1 2,0,0 0,2,0 1,0,1 1,2,0 0,2,1  
      -----------------------------------------------------------------------
              2     3           2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 1,2,0 0,2,1  
      -----------------------------------------------------------------------
       2           3           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 1,2,0 0,2,1  
      -----------------------------------------------------------------------
        3     3           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 0,2,0 1,0,1 1,2,0 0,2,1  
      -----------------------------------------------------------------------
       2     2     2     3                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,0,1 1,2,0 0,2,1  
      -----------------------------------------------------------------------
                   4     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 1,2,0 0,2,1  
      -----------------------------------------------------------------------
        2           3                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 1,2,0 0,2,1  
      -----------------------------------------------------------------------
       3           2     2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 1,2,0 0,2,1  
      -----------------------------------------------------------------------
        2           3                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 1,2,0 0,2,1  
      -----------------------------------------------------------------------
        3     3                                    
      4u     u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,2,0 0,0,2 1,2,0 0,2,1  
      -----------------------------------------------------------------------
        2     2     2                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 1,2,0 0,2,1  
      -----------------------------------------------------------------------
        3           2                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 1,2,0 0,2,1  
      -----------------------------------------------------------------------
        4     2                                    
      4u     u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 1,0,1 0,0,2 1,2,0 0,2,1  
      -----------------------------------------------------------------------
        3     2           2                        
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,0,1 0,0,2 1,2,0 0,2,1  
      -----------------------------------------------------------------------
        3           2                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 1,2,0 0,2,1  
      -----------------------------------------------------------------------
        4                                                
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 0,0,2 1,2,0 0,2,1  
      -----------------------------------------------------------------------
       4                       2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 1,2,0 0,2,1  
      -----------------------------------------------------------------------
        5                 2                  
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 0,2,0 0,0,2 1,2,0 0,2,1  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 1,0,1 0,0,2 1,2,0 0,2,1  
      -----------------------------------------------------------------------
       5                 2                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,1,1 0,0,2 1,2,0 0,2,1  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,1,0 2,0,1 0,2,1  
      -----------------------------------------------------------------------
                   4     3                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        2     4     2                        
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,2,0 2,0,1 0,2,1  
      -----------------------------------------------------------------------
                    4                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 2,0,1 0,2,1  
      -----------------------------------------------------------------------
       2     4     2                        
      u     u     u     u     u     u      -
       1,0,0 0,0,1 1,1,0 0,2,0 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        2     4           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,2,0 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 1,1,0 1,0,1 2,0,1 0,2,1  
      -----------------------------------------------------------------------
              2     3     2                        
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 2,0,1 0,2,1  
      -----------------------------------------------------------------------
              2     3                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        2           3                                    
      4u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        3     3     2                        
      2u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 1,0,1 2,0,1 0,2,1  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,0,1 2,0,1 0,2,1  
      -----------------------------------------------------------------------
             3     2           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 2,0,1 0,2,1  
      -----------------------------------------------------------------------
       2     2     2           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        3     3     2                        
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,1,1 2,0,1 0,2,1  
      -----------------------------------------------------------------------
              2     3                                    
      4u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        2           3     2                        
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        2           3                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,0,1 1,1,0 0,2,0 0,1,1 2,0,1 0,2,1  
      -----------------------------------------------------------------------
       2     2     2           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 2,0,1 0,2,1  
      -----------------------------------------------------------------------
       3           2           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 2,0,1 0,2,1  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      -
       1,0,0 0,0,1 0,2,0 0,1,1 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        4     2     2                        
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,0,2 2,0,1 0,2,1  
      -----------------------------------------------------------------------
              3     2                                    
      6u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        2     2     2     2                        
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        2     2     2                                    
      4u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        3           2                                    
      6u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        4     2     2                        
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 0,2,0 0,0,2 2,0,1 0,2,1  
      -----------------------------------------------------------------------
              4                                          
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        2     3                                          
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        3     2                                          
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        2     3                                          
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        3     2                                          
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        4                                                
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 0,0,2 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        2     4           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 2,0,0 0,0,2 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        3     3           2                  
      2u     u     u     u     u     u      +
        1,0,0 0,1,0 1,1,0 0,0,2 2,0,1 0,2,1  
      -----------------------------------------------------------------------
        4     2           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 0,2,0 0,0,2 2,0,1 0,2,1  
      -----------------------------------------------------------------------
       2     4     2                        
      u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,1,0 1,1,1 0,2,1  
      -----------------------------------------------------------------------
                   4           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 1,1,1 0,2,1  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,0,1 2,0,0 1,1,0 0,2,0 1,1,1 0,2,1  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,0,1 1,1,1 0,2,1  
      -----------------------------------------------------------------------
       2           3     2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 1,1,1 0,2,1  
      -----------------------------------------------------------------------
       2           3                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 1,1,1 0,2,1  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,0,1 1,1,0 0,2,0 1,0,1 1,1,1 0,2,1  
      -----------------------------------------------------------------------
             3     2           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 1,1,1 0,2,1  
      -----------------------------------------------------------------------
       2     2     2           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 1,1,1 0,2,1  
      -----------------------------------------------------------------------
       3           2           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 1,1,1 0,2,1  
      -----------------------------------------------------------------------
             2     3     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 1,1,1 0,2,1  
      -----------------------------------------------------------------------
       2           3                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 1,1,1 0,2,1  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,0,1 2,0,0 0,2,0 0,1,1 1,1,1 0,2,1  
      -----------------------------------------------------------------------
       2     2     2                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 1,1,1 0,2,1  
      -----------------------------------------------------------------------
       3           2                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 1,1,1 0,2,1  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,0,1 0,2,0 1,0,1 0,1,1 1,1,1 0,2,1  
      -----------------------------------------------------------------------
              3     2     2                        
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 1,1,1 0,2,1  
      -----------------------------------------------------------------------
       2     2     2                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 1,1,1 0,2,1  
      -----------------------------------------------------------------------
       3           2     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 1,1,1 0,2,1  
      -----------------------------------------------------------------------
        3           2                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 1,1,1 0,2,1  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,2,0 0,0,2 1,1,1 0,2,1  
      -----------------------------------------------------------------------
        2     3                                          
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 1,1,1 0,2,1  
      -----------------------------------------------------------------------
        3     2                                          
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 1,1,1 0,2,1  
      -----------------------------------------------------------------------
        4                                                
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 1,1,1 0,2,1  
      -----------------------------------------------------------------------
       3     2                                          
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 1,1,1 0,2,1  
      -----------------------------------------------------------------------
       4                                                
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 1,1,1 0,2,1  
      -----------------------------------------------------------------------
       5                                          
      u     u     u     u     u     u     u      -
       1,0,0 0,0,1 0,2,0 0,1,1 0,0,2 1,1,1 0,2,1  
      -----------------------------------------------------------------------
        3     3           2                  
      2u     u     u     u     u     u      +
        1,0,0 0,1,0 2,0,0 0,0,2 1,1,1 0,2,1  
      -----------------------------------------------------------------------
        4     2           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 1,1,0 0,0,2 1,1,1 0,2,1  
      -----------------------------------------------------------------------
        5                 2                    2     4     3     2      
      2u     u     u     u     u     u      + u     u     u     u      -
        1,0,0 0,1,0 0,2,0 0,0,2 1,1,1 0,2,1    0,1,0 0,0,1 2,0,0 0,2,1  
      -----------------------------------------------------------------------
                   4     2           2        2     4     2           2      
      u     u     u     u     u     u      + u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,1    1,0,0 0,0,1 2,0,0 0,2,0 0,2,1  
      -----------------------------------------------------------------------
              2     3     2           2      
      2u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,2,1  
      -----------------------------------------------------------------------
        2           3                       2      
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 1,0,1 0,2,1  
      -----------------------------------------------------------------------
        3     3                       2      
      2u     u     u     u     u     u      +
        1,0,0 0,0,1 2,0,0 0,2,0 1,0,1 0,2,1  
      -----------------------------------------------------------------------
       2     2     2           2     2      
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,2,1  
      -----------------------------------------------------------------------
       3           2           2     2        4     2           2     2      
      u     u     u     u     u     u      + u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,2,1    1,0,0 0,0,1 0,2,0 1,0,1 0,2,1  
      -----------------------------------------------------------------------
        2     2     2     2           2      
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 0,2,1  
      -----------------------------------------------------------------------
        3           2                       2      
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 0,2,1  
      -----------------------------------------------------------------------
        4     2                       2      
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,2,0 0,0,2 0,2,1  
      -----------------------------------------------------------------------
        3     2                             2      
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 0,2,1  
      -----------------------------------------------------------------------
        4                                   2      
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 0,2,1  
      -----------------------------------------------------------------------
        5                             2        4     2           2     2    
      2u     u     u     u     u     u      + u     u     u     u     u     
        1,0,0 0,0,1 0,2,0 1,0,1 0,0,2 0,2,1    1,0,0 0,1,0 2,0,0 0,0,2 0,2,1
      -----------------------------------------------------------------------
         5                 2     2        6           2     2      
      - u     u     u     u     u      + u     u     u     u      +
         1,0,0 0,1,0 1,1,0 0,0,2 0,2,1    1,0,0 0,2,0 0,0,2 0,2,1  
      -----------------------------------------------------------------------
       2     4     2                        
      u     u     u     u     u     u      -
       0,1,0 0,0,1 1,1,0 0,2,0 3,0,0 1,0,2  
      -----------------------------------------------------------------------
        2     4           2                  
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,2,0 3,0,0 1,0,2  
      -----------------------------------------------------------------------
                    4           2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 3,0,0 1,0,2  
      -----------------------------------------------------------------------
        2     4     3                  
      2u     u     u     u     u      -
        1,0,0 0,0,1 0,2,0 3,0,0 1,0,2  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      +
        0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 3,0,0 1,0,2  
      -----------------------------------------------------------------------
              2     3     2                        
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 3,0,0 1,0,2  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      -
       0,1,0 0,0,1 0,2,0 1,0,1 3,0,0 1,0,2  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      +
       0,1,0 0,0,1 1,1,0 0,1,1 3,0,0 1,0,2  
      -----------------------------------------------------------------------
        3     3                                    
      4u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 3,0,0 1,0,2  
      -----------------------------------------------------------------------
              2     3                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,1,1 3,0,0 1,0,2  
      -----------------------------------------------------------------------
        2           3     2                        
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 3,0,0 1,0,2  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      -
        0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 3,0,0 1,0,2  
      -----------------------------------------------------------------------
              3     2                                    
      6u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 3,0,0 1,0,2  
      -----------------------------------------------------------------------
       5           2                        
      u     u     u     u     u     u      -
       0,1,0 0,0,1 1,0,1 0,1,1 3,0,0 1,0,2  
      -----------------------------------------------------------------------
        4     2           2                  
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,1,1 3,0,0 1,0,2  
      -----------------------------------------------------------------------
        2     2     2           2                  
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 3,0,0 1,0,2  
      -----------------------------------------------------------------------
              4                 2                  
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 3,0,0 1,0,2  
      -----------------------------------------------------------------------
       2     3           3                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,1,1 3,0,0 1,0,2  
      -----------------------------------------------------------------------
       4     2     2                        
      u     u     u     u     u     u      -
       0,1,0 0,0,1 1,1,0 0,0,2 3,0,0 1,0,2  
      -----------------------------------------------------------------------
        4     2                                    
      4u     u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 3,0,0 1,0,2  
      -----------------------------------------------------------------------
        5                                          
      2u     u     u     u     u     u     u      +
        0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 3,0,0 1,0,2  
      -----------------------------------------------------------------------
              4                                          
      4u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 3,0,0 1,0,2  
      -----------------------------------------------------------------------
       6     2                        
      u     u     u     u     u      +
       0,1,0 1,0,1 0,0,2 3,0,0 1,0,2  
      -----------------------------------------------------------------------
        5                                          
      4u     u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 3,0,0 1,0,2  
      -----------------------------------------------------------------------
              4                                          
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 3,0,0 1,0,2  
      -----------------------------------------------------------------------
              5                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 1,0,1 0,1,1 0,0,2 3,0,0 1,0,2  
      -----------------------------------------------------------------------
       2     4     2                           6           2                
      u     u     u     u     u     u      - 2u     u     u     u     u     
       1,0,0 0,1,0 0,1,1 0,0,2 3,0,0 1,0,2     0,1,0 2,0,0 0,0,2 3,0,0 1,0,2
      -----------------------------------------------------------------------
                5           2                  
      + 2u     u     u     u     u     u      -
          1,0,0 0,1,0 1,1,0 0,0,2 3,0,0 1,0,2  
      -----------------------------------------------------------------------
        2     4           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 0,2,0 0,0,2 3,0,0 1,0,2  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 2,1,0 1,0,2  
      -----------------------------------------------------------------------
                    4           2                  
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 2,1,0 1,0,2  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,2,0 2,1,0 1,0,2  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 2,1,0 1,0,2  
      -----------------------------------------------------------------------
             2     3                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 2,1,0 1,0,2  
      -----------------------------------------------------------------------
        2           3     2                        
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 2,1,0 1,0,2  
      -----------------------------------------------------------------------
             3     2           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 2,1,0 1,0,2  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 2,1,0 1,0,2  
      -----------------------------------------------------------------------
              2     3                                    
      7u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 2,1,0 1,0,2  
      -----------------------------------------------------------------------
        2           3                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,1,1 2,1,0 1,0,2  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      -
       1,0,0 0,0,1 0,2,0 0,1,1 2,1,0 1,0,2  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 2,1,0 1,0,2  
      -----------------------------------------------------------------------
             3     2                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 2,1,0 1,0,2  
      -----------------------------------------------------------------------
        2     2     2                                    
      5u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 2,1,0 1,0,2  
      -----------------------------------------------------------------------
             4           2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 2,1,0 1,0,2  
      -----------------------------------------------------------------------
              3     2           2                  
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 2,1,0 1,0,2  
      -----------------------------------------------------------------------
       2     2     2           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 2,1,0 1,0,2  
      -----------------------------------------------------------------------
        3           2           2                  
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 2,1,0 1,0,2  
      -----------------------------------------------------------------------
        2     3                 2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 2,1,0 1,0,2  
      -----------------------------------------------------------------------
       3     2           3                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 0,1,1 2,1,0 1,0,2  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 2,1,0 1,0,2  
      -----------------------------------------------------------------------
              3     2                                    
      6u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 2,1,0 1,0,2  
      -----------------------------------------------------------------------
        2     2     2                                    
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 2,1,0 1,0,2  
      -----------------------------------------------------------------------
        3           2     2                        
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 2,1,0 1,0,2  
      -----------------------------------------------------------------------
       5                                          
      u     u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 2,1,0 1,0,2  
      -----------------------------------------------------------------------
             4                                          
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 2,1,0 1,0,2  
      -----------------------------------------------------------------------
        2     3                                          
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 2,1,0 1,0,2  
      -----------------------------------------------------------------------
             5     2                        
      u     u     u     u     u     u      -
       1,0,0 0,1,0 1,0,1 0,0,2 2,1,0 1,0,2  
      -----------------------------------------------------------------------
              4                                          
      5u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 2,1,0 1,0,2  
      -----------------------------------------------------------------------
        2     3                                          
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 2,1,0 1,0,2  
      -----------------------------------------------------------------------
       3     2                                          
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 0,0,2 2,1,0 1,0,2  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 1,0,1 0,1,1 0,0,2 2,1,0 1,0,2  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,1,1 0,0,2 2,1,0 1,0,2  
      -----------------------------------------------------------------------
              5           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 2,0,0 0,0,2 2,1,0 1,0,2  
      -----------------------------------------------------------------------
        2     4           2                  
      2u     u     u     u     u     u      +
        1,0,0 0,1,0 1,1,0 0,0,2 2,1,0 1,0,2  
      -----------------------------------------------------------------------
        3     3           2                  
      2u     u     u     u     u     u      +
        1,0,0 0,1,0 0,2,0 0,0,2 2,1,0 1,0,2  
      -----------------------------------------------------------------------
        2     4     2                        
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,2,0 1,2,0 1,0,2  
      -----------------------------------------------------------------------
                    4                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 1,2,0 1,0,2  
      -----------------------------------------------------------------------
       2     4     2                        
      u     u     u     u     u     u      -
       1,0,0 0,0,1 1,1,0 0,2,0 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        2     4           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,2,0 1,2,0 1,0,2  
      -----------------------------------------------------------------------
              2     3                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        3     3     2                        
      2u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 1,0,1 1,2,0 1,0,2  
      -----------------------------------------------------------------------
       2     2     2           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        3     3     2                        
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,1,1 1,2,0 1,0,2  
      -----------------------------------------------------------------------
              2     3                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 1,2,0 1,0,2  
      -----------------------------------------------------------------------
       2           3     2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        2           3                                    
      6u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,0,1 1,1,0 0,2,0 0,1,1 1,2,0 1,0,2  
      -----------------------------------------------------------------------
              3     2                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        3           2                                    
      4u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 1,2,0 1,0,2  
      -----------------------------------------------------------------------
       2     3           2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        2     2     2           2                  
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        3           2           2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 1,2,0 1,0,2  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 0,2,0 0,1,1 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        3     2                 2                  
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 1,2,0 1,0,2  
      -----------------------------------------------------------------------
       4                 3                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,1,1 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        4     2     2                        
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,0,2 1,2,0 1,0,2  
      -----------------------------------------------------------------------
              3     2                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 1,2,0 1,0,2  
      -----------------------------------------------------------------------
       2     2     2     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        2     2     2                                    
      4u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        3           2                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        4     2     2                        
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 0,2,0 0,0,2 1,2,0 1,0,2  
      -----------------------------------------------------------------------
              4                                          
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        3     2                                          
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 1,2,0 1,0,2  
      -----------------------------------------------------------------------
       2     4     2                        
      u     u     u     u     u     u      +
       1,0,0 0,1,0 1,0,1 0,0,2 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        2     3                                          
      6u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        3     2                                          
      4u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        4                                                
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 0,0,2 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 1,0,1 0,1,1 0,0,2 1,2,0 1,0,2  
      -----------------------------------------------------------------------
       4     2     2                        
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,1,1 0,0,2 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        2     4           2                  
      2u     u     u     u     u     u      +
        1,0,0 0,1,0 2,0,0 0,0,2 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        3     3           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 1,1,0 0,0,2 1,2,0 1,0,2  
      -----------------------------------------------------------------------
        4     2           2                  
      2u     u     u     u     u     u      +
        1,0,0 0,1,0 0,2,0 0,0,2 1,2,0 1,0,2  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 2,0,1 1,0,2  
      -----------------------------------------------------------------------
             2     3     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 2,0,1 1,0,2  
      -----------------------------------------------------------------------
              2     3           2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 2,0,1 1,0,2  
      -----------------------------------------------------------------------
        2           3           2                  
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 2,0,1 1,0,2  
      -----------------------------------------------------------------------
        3     3     3                  
      2u     u     u     u     u      -
        1,0,0 0,0,1 0,2,0 2,0,1 1,0,2  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 2,0,1 1,0,2  
      -----------------------------------------------------------------------
             3     2                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 2,0,1 1,0,2  
      -----------------------------------------------------------------------
       2     2     2     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 2,0,1 1,0,2  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 2,0,1 1,0,2  
      -----------------------------------------------------------------------
             3     2     2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 2,0,1 1,0,2  
      -----------------------------------------------------------------------
              3     2                                    
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 2,0,1 1,0,2  
      -----------------------------------------------------------------------
        2     2     2                                    
      4u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,1,1 2,0,1 1,0,2  
      -----------------------------------------------------------------------
        3           2     2                        
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 2,0,1 1,0,2  
      -----------------------------------------------------------------------
       5                                          
      u     u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 2,0,1 1,0,2  
      -----------------------------------------------------------------------
             4                                          
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 2,0,1 1,0,2  
      -----------------------------------------------------------------------
       2     3                                          
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 2,0,1 1,0,2  
      -----------------------------------------------------------------------
             4                 2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 2,0,1 1,0,2  
      -----------------------------------------------------------------------
       2     3                 2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 2,0,1 1,0,2  
      -----------------------------------------------------------------------
       3     2                 2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 2,0,1 1,0,2  
      -----------------------------------------------------------------------
       5                                          
      u     u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 2,0,1 1,0,2  
      -----------------------------------------------------------------------
             4           2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 2,0,1 1,0,2  
      -----------------------------------------------------------------------
              4                                          
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 2,0,1 1,0,2  
      -----------------------------------------------------------------------
        2     3                                          
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 2,0,1 1,0,2  
      -----------------------------------------------------------------------
        3     2           2                        
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 2,0,1 1,0,2  
      -----------------------------------------------------------------------
       6                                    
      u     u     u     u     u     u      +
       0,1,0 2,0,0 1,0,1 0,0,2 2,0,1 1,0,2  
      -----------------------------------------------------------------------
             5                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 1,1,0 1,0,1 0,0,2 2,0,1 1,0,2  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,2,0 1,0,1 0,0,2 2,0,1 1,0,2  
      -----------------------------------------------------------------------
             5                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 2,0,0 0,1,1 0,0,2 2,0,1 1,0,2  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 1,1,0 0,1,1 0,0,2 2,0,1 1,0,2  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,2,0 0,1,1 0,0,2 2,0,1 1,0,2  
      -----------------------------------------------------------------------
        3     3     2                        
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,2,0 1,1,1 1,0,2  
      -----------------------------------------------------------------------
              2     3                                    
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 1,1,1 1,0,2  
      -----------------------------------------------------------------------
       2           3     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,1,1 1,0,2  
      -----------------------------------------------------------------------
        2           3           2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,1,1 1,0,2  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,2,0 1,1,1 1,0,2  
      -----------------------------------------------------------------------
             3     2                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 1,1,1 1,0,2  
      -----------------------------------------------------------------------
       2     2     2                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 1,1,1 1,0,2  
      -----------------------------------------------------------------------
       3           2     2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 1,1,1 1,0,2  
      -----------------------------------------------------------------------
        4     2     2                        
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,1,1 1,1,1 1,0,2  
      -----------------------------------------------------------------------
              3     2                                    
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 1,1,1 1,0,2  
      -----------------------------------------------------------------------
       2     2     2     2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 1,1,1 1,0,2  
      -----------------------------------------------------------------------
       2     2     2                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 1,1,1 1,0,2  
      -----------------------------------------------------------------------
       4     2     2                        
      u     u     u     u     u     u      -
       1,0,0 0,0,1 0,2,0 0,1,1 1,1,1 1,0,2  
      -----------------------------------------------------------------------
             4                                          
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 1,1,1 1,0,2  
      -----------------------------------------------------------------------
       2     3                                          
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 1,1,1 1,0,2  
      -----------------------------------------------------------------------
       3     2                                          
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 1,1,1 1,0,2  
      -----------------------------------------------------------------------
       2     3                 2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 1,1,1 1,0,2  
      -----------------------------------------------------------------------
       3     2                 2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 1,1,1 1,0,2  
      -----------------------------------------------------------------------
       4                       2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 1,1,1 1,0,2  
      -----------------------------------------------------------------------
        5           2                        
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,0,2 1,1,1 1,0,2  
      -----------------------------------------------------------------------
              4                                          
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 1,1,1 1,0,2  
      -----------------------------------------------------------------------
       2     3           2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 1,1,1 1,0,2  
      -----------------------------------------------------------------------
        2     3                                          
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 1,1,1 1,0,2  
      -----------------------------------------------------------------------
       3     2                                          
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 1,1,1 1,0,2  
      -----------------------------------------------------------------------
             5                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 2,0,0 1,0,1 0,0,2 1,1,1 1,0,2  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 1,1,0 1,0,1 0,0,2 1,1,1 1,0,2  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,2,0 1,0,1 0,0,2 1,1,1 1,0,2  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 2,0,0 0,1,1 0,0,2 1,1,1 1,0,2  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 1,1,0 0,1,1 0,0,2 1,1,1 1,0,2  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,2,0 0,1,1 0,0,2 1,1,1 1,0,2  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,1,0 0,2,1 1,0,2  
      -----------------------------------------------------------------------
              2     3           2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,1 1,0,2  
      -----------------------------------------------------------------------
       2           3     3                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,1 1,0,2  
      -----------------------------------------------------------------------
              2     3     2                        
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,2,1 1,0,2  
      -----------------------------------------------------------------------
       2           3                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 0,2,1 1,0,2  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,2,0 0,2,1 1,0,2  
      -----------------------------------------------------------------------
        3     3           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,2,0 0,2,1 1,0,2  
      -----------------------------------------------------------------------
       4     2     2                        
      u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,0,1 0,2,1 1,0,2  
      -----------------------------------------------------------------------
              3     2                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 1,0,1 0,2,1 1,0,2  
      -----------------------------------------------------------------------
       2     2     2     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,2,1 1,0,2  
      -----------------------------------------------------------------------
        2     2     2                                    
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 0,2,1 1,0,2  
      -----------------------------------------------------------------------
        3           2                                    
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 0,2,1 1,0,2  
      -----------------------------------------------------------------------
        4     2     2                        
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 0,2,0 1,0,1 0,2,1 1,0,2  
      -----------------------------------------------------------------------
              3     2     2                        
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,2,1 1,0,2  
      -----------------------------------------------------------------------
        2     2     2                                    
      5u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 0,2,1 1,0,2  
      -----------------------------------------------------------------------
        3           2     2                        
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,2,1 1,0,2  
      -----------------------------------------------------------------------
        3           2                                    
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 0,2,1 1,0,2  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,0,1 1,1,0 0,2,0 0,1,1 0,2,1 1,0,2  
      -----------------------------------------------------------------------
       2     3                                          
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 0,2,1 1,0,2  
      -----------------------------------------------------------------------
       3     2                                          
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 0,2,1 1,0,2  
      -----------------------------------------------------------------------
       4                                                
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 0,2,1 1,0,2  
      -----------------------------------------------------------------------
       3     2                 2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,2,1 1,0,2  
      -----------------------------------------------------------------------
       4                       2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,2,1 1,0,2  
      -----------------------------------------------------------------------
       5                 2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 0,2,0 0,1,1 0,2,1 1,0,2  
      -----------------------------------------------------------------------
              4           2                        
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 0,2,1 1,0,2  
      -----------------------------------------------------------------------
        2     3                                          
      7u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 0,2,1 1,0,2  
      -----------------------------------------------------------------------
        3     2           2                        
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 0,2,1 1,0,2  
      -----------------------------------------------------------------------
        3     2                                          
      6u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 0,2,1 1,0,2  
      -----------------------------------------------------------------------
        4                                                
      5u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 0,2,1 1,0,2  
      -----------------------------------------------------------------------
        5           2                        
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 0,2,0 0,0,2 0,2,1 1,0,2  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 2,0,0 1,0,1 0,0,2 0,2,1 1,0,2  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 1,1,0 1,0,1 0,0,2 0,2,1 1,0,2  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,2,0 1,0,1 0,0,2 0,2,1 1,0,2  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 2,0,0 0,1,1 0,0,2 0,2,1 1,0,2  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 1,1,0 0,1,1 0,0,2 0,2,1 1,0,2  
      -----------------------------------------------------------------------
       5                                          
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,2,0 0,1,1 0,0,2 0,2,1 1,0,2  
      -----------------------------------------------------------------------
       4     2     2           2      
      u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 0,2,0 1,0,2  
      -----------------------------------------------------------------------
              3     2                       2      
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 1,0,2  
      -----------------------------------------------------------------------
       2     2     2     2           2      
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,2  
      -----------------------------------------------------------------------
        2     2     2           2     2      
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,2  
      -----------------------------------------------------------------------
        3           2           2     2        4     2     3     2      
      2u     u     u     u     u     u      + u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,2    1,0,0 0,0,1 0,2,0 1,0,2  
      -----------------------------------------------------------------------
       5           2           2      
      u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 0,1,1 1,0,2  
      -----------------------------------------------------------------------
              4                             2      
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 1,0,2  
      -----------------------------------------------------------------------
       2     3           2           2      
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 1,0,2  
      -----------------------------------------------------------------------
        2     3                             2      
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 1,0,2  
      -----------------------------------------------------------------------
        3     2                             2      
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,1,1 1,0,2  
      -----------------------------------------------------------------------
       4                 2           2        6     2           2      
      u     u     u     u     u     u      + u     u     u     u      -
       1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 1,0,2    0,1,0 2,0,0 0,0,2 1,0,2  
      -----------------------------------------------------------------------
              5                       2        2     4     2           2    
      2u     u     u     u     u     u      + u     u     u     u     u     
        1,0,0 0,1,0 2,0,0 1,1,0 0,0,2 1,0,2    1,0,0 0,1,0 1,1,0 0,0,2 1,0,2
      -----------------------------------------------------------------------
          2     4                       2      
      + 2u     u     u     u     u     u      -
          1,0,0 0,1,0 2,0,0 0,2,0 0,0,2 1,0,2  
      -----------------------------------------------------------------------
        3     3                       2        4     2     2           2    
      2u     u     u     u     u     u      + u     u     u     u     u     
        1,0,0 0,1,0 1,1,0 0,2,0 0,0,2 1,0,2    1,0,0 0,1,0 0,2,0 0,0,2 1,0,2
      -----------------------------------------------------------------------
         2     4     3                  
      - u     u     u     u     u      +
         0,1,0 0,0,1 1,1,0 3,0,0 0,1,2  
      -----------------------------------------------------------------------
        2     4                                    
      3u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 3,0,0 0,1,2  
      -----------------------------------------------------------------------
                    4     2                        
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 3,0,0 0,1,2  
      -----------------------------------------------------------------------
                    4           2                  
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 3,0,0 0,1,2  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,2,0 3,0,0 0,1,2  
      -----------------------------------------------------------------------
        3     3     2                        
      3u     u     u     u     u     u      -
        0,1,0 0,0,1 1,1,0 1,0,1 3,0,0 0,1,2  
      -----------------------------------------------------------------------
        3     3                                    
      3u     u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 3,0,0 0,1,2  
      -----------------------------------------------------------------------
              2     3                                    
      7u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 3,0,0 0,1,2  
      -----------------------------------------------------------------------
        2           3     2                        
      5u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 3,0,0 0,1,2  
      -----------------------------------------------------------------------
        4     2           2                  
      3u     u     u     u     u     u      +
        0,1,0 0,0,1 1,1,0 1,0,1 3,0,0 0,1,2  
      -----------------------------------------------------------------------
              3     2           2                  
      5u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 3,0,0 0,1,2  
      -----------------------------------------------------------------------
       5           3                  
      u     u     u     u     u      -
       0,1,0 0,0,1 1,0,1 3,0,0 0,1,2  
      -----------------------------------------------------------------------
        3     3                                    
      3u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 3,0,0 0,1,2  
      -----------------------------------------------------------------------
             2     3     2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 3,0,0 0,1,2  
      -----------------------------------------------------------------------
              2     3                                    
      5u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 3,0,0 0,1,2  
      -----------------------------------------------------------------------
        2           3                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,1,1 3,0,0 0,1,2  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      +
       1,0,0 0,0,1 0,2,0 0,1,1 3,0,0 0,1,2  
      -----------------------------------------------------------------------
        4     2                                    
      3u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 3,0,0 0,1,2  
      -----------------------------------------------------------------------
             3     2                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 3,0,0 0,1,2  
      -----------------------------------------------------------------------
        2     2     2                                    
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 3,0,0 0,1,2  
      -----------------------------------------------------------------------
              4           2                        
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 3,0,0 0,1,2  
      -----------------------------------------------------------------------
             3     2           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 3,0,0 0,1,2  
      -----------------------------------------------------------------------
       2     3                 2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 3,0,0 0,1,2  
      -----------------------------------------------------------------------
        4     2                                    
      3u     u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 3,0,0 0,1,2  
      -----------------------------------------------------------------------
              3     2     2                        
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 3,0,0 0,1,2  
      -----------------------------------------------------------------------
              3     2                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 3,0,0 0,1,2  
      -----------------------------------------------------------------------
        2     2     2                                    
      9u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 3,0,0 0,1,2  
      -----------------------------------------------------------------------
        3           2     2                        
      6u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 3,0,0 0,1,2  
      -----------------------------------------------------------------------
        5                                          
      3u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 3,0,0 0,1,2  
      -----------------------------------------------------------------------
              4                                          
      5u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 3,0,0 0,1,2  
      -----------------------------------------------------------------------
        2     3                                          
      7u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 3,0,0 0,1,2  
      -----------------------------------------------------------------------
             5     2                        
      u     u     u     u     u     u      -
       1,0,0 0,1,0 1,0,1 0,0,2 3,0,0 0,1,2  
      -----------------------------------------------------------------------
             4                                          
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 3,0,0 0,1,2  
      -----------------------------------------------------------------------
       2     3                                          
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 3,0,0 0,1,2  
      -----------------------------------------------------------------------
        3     2                                          
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 0,0,2 3,0,0 0,1,2  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 1,0,1 0,1,1 0,0,2 3,0,0 0,1,2  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,1,1 0,0,2 3,0,0 0,1,2  
      -----------------------------------------------------------------------
              5           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 2,0,0 0,0,2 3,0,0 0,1,2  
      -----------------------------------------------------------------------
        2     4           2                  
      2u     u     u     u     u     u      +
        1,0,0 0,1,0 1,1,0 0,0,2 3,0,0 0,1,2  
      -----------------------------------------------------------------------
        3     3           2                  
      2u     u     u     u     u     u      +
        1,0,0 0,1,0 0,2,0 0,0,2 3,0,0 0,1,2  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,1,0 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        2     4     2                        
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,2,0 2,1,0 0,1,2  
      -----------------------------------------------------------------------
                    4                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        2     4           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,2,0 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 1,1,0 1,0,1 2,1,0 0,1,2  
      -----------------------------------------------------------------------
             2     3     2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 2,1,0 0,1,2  
      -----------------------------------------------------------------------
              2     3                                    
      6u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        2           3                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        3     3     2                        
      2u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 1,0,1 2,1,0 0,1,2  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,0,1 2,1,0 0,1,2  
      -----------------------------------------------------------------------
              3     2           2                  
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        2     2     2           2                  
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 2,1,0 0,1,2  
      -----------------------------------------------------------------------
             4           3                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,0,1 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        3     3     2                        
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,1,1 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        2           3                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 2,1,0 0,1,2  
      -----------------------------------------------------------------------
              3     2                                    
      4u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        3           2                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        2     3           2                        
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 2,1,0 0,1,2  
      -----------------------------------------------------------------------
       2     2     2           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 2,1,0 0,1,2  
      -----------------------------------------------------------------------
       3     2                 2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        4     2     2                        
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,0,2 2,1,0 0,1,2  
      -----------------------------------------------------------------------
              3     2                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 2,1,0 0,1,2  
      -----------------------------------------------------------------------
       2     2     2     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        2     2     2                                    
      4u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        3           2                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        4     2     2                        
      2u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 0,0,2 2,1,0 0,1,2  
      -----------------------------------------------------------------------
              4                                          
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        2     3                                          
      4u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        3     2                                          
      6u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 2,1,0 0,1,2  
      -----------------------------------------------------------------------
       2     4     2                        
      u     u     u     u     u     u      +
       1,0,0 0,1,0 1,0,1 0,0,2 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        2     3                                          
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        4                                                
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 0,0,2 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 1,0,1 0,1,1 0,0,2 2,1,0 0,1,2  
      -----------------------------------------------------------------------
       4     2     2                        
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,1,1 0,0,2 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        2     4           2                  
      2u     u     u     u     u     u      +
        1,0,0 0,1,0 2,0,0 0,0,2 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        3     3           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 1,1,0 0,0,2 2,1,0 0,1,2  
      -----------------------------------------------------------------------
        4     2           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 0,2,0 0,0,2 2,1,0 0,1,2  
      -----------------------------------------------------------------------
       2     4     2                        
      u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,1,0 1,2,0 0,1,2  
      -----------------------------------------------------------------------
                    4     2                        
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,2,0 0,1,2  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,0,1 2,0,0 1,1,0 0,2,0 1,2,0 0,1,2  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,0,1 1,2,0 0,1,2  
      -----------------------------------------------------------------------
              2     3                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 1,0,1 1,2,0 0,1,2  
      -----------------------------------------------------------------------
        2           3                                    
      7u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 1,2,0 0,1,2  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,0,1 1,1,0 0,2,0 1,0,1 1,2,0 0,1,2  
      -----------------------------------------------------------------------
              3     2           2                  
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 1,2,0 0,1,2  
      -----------------------------------------------------------------------
       2     2     2           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 1,2,0 0,1,2  
      -----------------------------------------------------------------------
        3           2           2                  
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 1,2,0 0,1,2  
      -----------------------------------------------------------------------
       2     3           3                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,0,1 1,2,0 0,1,2  
      -----------------------------------------------------------------------
              2     3     2                        
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 1,2,0 0,1,2  
      -----------------------------------------------------------------------
       2           3                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 1,2,0 0,1,2  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,0,1 2,0,0 0,2,0 0,1,1 1,2,0 0,1,2  
      -----------------------------------------------------------------------
        2     2     2                                    
      5u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 1,2,0 0,1,2  
      -----------------------------------------------------------------------
       3           2                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 1,2,0 0,1,2  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,0,1 0,2,0 1,0,1 0,1,1 1,2,0 0,1,2  
      -----------------------------------------------------------------------
        3     2           2                        
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 1,2,0 0,1,2  
      -----------------------------------------------------------------------
       3           2           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 1,2,0 0,1,2  
      -----------------------------------------------------------------------
       4                       2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 1,2,0 0,1,2  
      -----------------------------------------------------------------------
              3     2     2                        
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 1,2,0 0,1,2  
      -----------------------------------------------------------------------
        2     2     2                                    
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 1,2,0 0,1,2  
      -----------------------------------------------------------------------
        3           2                                    
      6u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 1,2,0 0,1,2  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,0,1 1,1,0 0,2,0 0,0,2 1,2,0 0,1,2  
      -----------------------------------------------------------------------
       2     3                                          
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 1,2,0 0,1,2  
      -----------------------------------------------------------------------
        3     2                                          
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 1,2,0 0,1,2  
      -----------------------------------------------------------------------
        4                                                
      5u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 1,2,0 0,1,2  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      -
       1,0,0 0,1,0 1,0,1 0,0,2 1,2,0 0,1,2  
      -----------------------------------------------------------------------
        3     2                                          
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 1,2,0 0,1,2  
      -----------------------------------------------------------------------
       4                                                
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 1,2,0 0,1,2  
      -----------------------------------------------------------------------
       5                                          
      u     u     u     u     u     u     u      +
       1,0,0 0,0,1 0,2,0 0,1,1 0,0,2 1,2,0 0,1,2  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 1,0,1 0,1,1 0,0,2 1,2,0 0,1,2  
      -----------------------------------------------------------------------
       5           2                        
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,1,1 0,0,2 1,2,0 0,1,2  
      -----------------------------------------------------------------------
        3     3           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 2,0,0 0,0,2 1,2,0 0,1,2  
      -----------------------------------------------------------------------
        4     2           2                  
      2u     u     u     u     u     u      +
        1,0,0 0,1,0 1,1,0 0,0,2 1,2,0 0,1,2  
      -----------------------------------------------------------------------
        5                 2                  
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 0,2,0 0,0,2 1,2,0 0,1,2  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,1,0 2,0,1 0,1,2  
      -----------------------------------------------------------------------
             2     3     3                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 2,0,1 0,1,2  
      -----------------------------------------------------------------------
        3     3     2                        
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,2,0 2,0,1 0,1,2  
      -----------------------------------------------------------------------
             2     3                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 2,0,1 0,1,2  
      -----------------------------------------------------------------------
        2           3     2                        
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 2,0,1 0,1,2  
      -----------------------------------------------------------------------
        2           3           2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 2,0,1 0,1,2  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,2,0 2,0,1 0,1,2  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 1,1,0 1,0,1 2,0,1 0,1,2  
      -----------------------------------------------------------------------
              3     2     2                        
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 2,0,1 0,1,2  
      -----------------------------------------------------------------------
              3     2                                    
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 2,0,1 0,1,2  
      -----------------------------------------------------------------------
        2     2     2                                    
      5u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 2,0,1 0,1,2  
      -----------------------------------------------------------------------
        3           2     2                        
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 2,0,1 0,1,2  
      -----------------------------------------------------------------------
       5                 2                  
      u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,0,1 2,0,1 0,1,2  
      -----------------------------------------------------------------------
             4                 2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 2,0,1 0,1,2  
      -----------------------------------------------------------------------
       2     3                 2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 2,0,1 0,1,2  
      -----------------------------------------------------------------------
        4     2     2                        
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,1,1 2,0,1 0,1,2  
      -----------------------------------------------------------------------
              3     2                                    
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 2,0,1 0,1,2  
      -----------------------------------------------------------------------
       2     2     2     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 2,0,1 0,1,2  
      -----------------------------------------------------------------------
        2     2     2                                    
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 2,0,1 0,1,2  
      -----------------------------------------------------------------------
        3           2                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,1,1 2,0,1 0,1,2  
      -----------------------------------------------------------------------
       4     2     2                        
      u     u     u     u     u     u      +
       1,0,0 0,0,1 0,2,0 0,1,1 2,0,1 0,1,2  
      -----------------------------------------------------------------------
             4                                          
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 2,0,1 0,1,2  
      -----------------------------------------------------------------------
       2     3                                          
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 2,0,1 0,1,2  
      -----------------------------------------------------------------------
       3     2                                          
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 2,0,1 0,1,2  
      -----------------------------------------------------------------------
        5           2                        
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,0,2 2,0,1 0,1,2  
      -----------------------------------------------------------------------
              4                                          
      5u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 2,0,1 0,1,2  
      -----------------------------------------------------------------------
        2     3           2                        
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 2,0,1 0,1,2  
      -----------------------------------------------------------------------
        2     3                                          
      6u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 2,0,1 0,1,2  
      -----------------------------------------------------------------------
        3     2                                          
      7u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 2,0,1 0,1,2  
      -----------------------------------------------------------------------
        4                 2                        
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 2,0,1 0,1,2  
      -----------------------------------------------------------------------
             5                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 2,0,0 1,0,1 0,0,2 2,0,1 0,1,2  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 1,1,0 1,0,1 0,0,2 2,0,1 0,1,2  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,2,0 1,0,1 0,0,2 2,0,1 0,1,2  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 2,0,0 0,1,1 0,0,2 2,0,1 0,1,2  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 1,1,0 0,1,1 0,0,2 2,0,1 0,1,2  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,2,0 0,1,1 0,0,2 2,0,1 0,1,2  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,1,0 1,1,1 0,1,2  
      -----------------------------------------------------------------------
             2     3           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 1,1,1 0,1,2  
      -----------------------------------------------------------------------
              2     3     2                        
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,1,1 0,1,2  
      -----------------------------------------------------------------------
        2           3                                    
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 1,1,1 0,1,2  
      -----------------------------------------------------------------------
        3     3           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,2,0 1,1,1 0,1,2  
      -----------------------------------------------------------------------
       4     2     2                        
      u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,0,1 1,1,1 0,1,2  
      -----------------------------------------------------------------------
       2     2     2     2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 1,1,1 0,1,2  
      -----------------------------------------------------------------------
       2     2     2                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 1,1,1 0,1,2  
      -----------------------------------------------------------------------
        3           2                                    
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 1,1,1 0,1,2  
      -----------------------------------------------------------------------
        4     2     2                        
      2u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 1,0,1 1,1,1 0,1,2  
      -----------------------------------------------------------------------
             4                 2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 1,1,1 0,1,2  
      -----------------------------------------------------------------------
       2     3                 2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 1,1,1 0,1,2  
      -----------------------------------------------------------------------
       3     2                 2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 1,1,1 0,1,2  
      -----------------------------------------------------------------------
             3     2     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 1,1,1 0,1,2  
      -----------------------------------------------------------------------
       2     2     2                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 1,1,1 0,1,2  
      -----------------------------------------------------------------------
       3           2                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 1,1,1 0,1,2  
      -----------------------------------------------------------------------
       2     3                                          
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 1,1,1 0,1,2  
      -----------------------------------------------------------------------
       3     2                                          
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 1,1,1 0,1,2  
      -----------------------------------------------------------------------
       4                                                
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 1,1,1 0,1,2  
      -----------------------------------------------------------------------
       2     3                                          
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 1,1,1 0,1,2  
      -----------------------------------------------------------------------
       3     2           2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 1,1,1 0,1,2  
      -----------------------------------------------------------------------
        3     2                                          
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 1,1,1 0,1,2  
      -----------------------------------------------------------------------
        4                                                
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 1,1,1 0,1,2  
      -----------------------------------------------------------------------
        5           2                        
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 0,2,0 0,0,2 1,1,1 0,1,2  
      -----------------------------------------------------------------------
       2     4                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 2,0,0 1,0,1 0,0,2 1,1,1 0,1,2  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 1,1,0 1,0,1 0,0,2 1,1,1 0,1,2  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,2,0 1,0,1 0,0,2 1,1,1 0,1,2  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 2,0,0 0,1,1 0,0,2 1,1,1 0,1,2  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 1,1,0 0,1,1 0,0,2 1,1,1 0,1,2  
      -----------------------------------------------------------------------
       5                                          
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,2,0 0,1,1 0,0,2 1,1,1 0,1,2  
      -----------------------------------------------------------------------
        3     3     3                  
      2u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,2,1 0,1,2  
      -----------------------------------------------------------------------
              2     3     2                        
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       2           3           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,1 0,1,2  
      -----------------------------------------------------------------------
        2           3     2                        
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,0,1 2,0,0 1,1,0 0,2,0 0,2,1 0,1,2  
      -----------------------------------------------------------------------
              3     2     2                        
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,2,1 0,1,2  
      -----------------------------------------------------------------------
        2     2     2                                    
      4u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 1,0,1 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       3           2     2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,2,1 0,1,2  
      -----------------------------------------------------------------------
        3           2                                    
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,0,1 1,1,0 0,2,0 1,0,1 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       2     3                 2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       3     2                 2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       4                       2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       2     2     2     2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       3           2                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,0,1 2,0,0 0,2,0 0,1,1 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       3     2                                          
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       4                                                
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       5                                          
      u     u     u     u     u     u     u      -
       1,0,0 0,0,1 0,2,0 1,0,1 0,1,1 0,2,1 0,1,2  
      -----------------------------------------------------------------------
        2     3           2                        
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 0,2,1 0,1,2  
      -----------------------------------------------------------------------
        3     2                                          
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       4                 2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 0,2,1 0,1,2  
      -----------------------------------------------------------------------
        4                                                
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       5                                          
      u     u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,2,0 0,0,2 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       3     3                                    
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 2,0,0 1,0,1 0,0,2 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 1,1,0 1,0,1 0,0,2 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       5                                          
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,2,0 1,0,1 0,0,2 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       4     2                                    
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 2,0,0 0,1,1 0,0,2 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       5                                          
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 1,1,0 0,1,1 0,0,2 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       6                                    
      u     u     u     u     u     u      -
       1,0,0 0,2,0 0,1,1 0,0,2 0,2,1 0,1,2  
      -----------------------------------------------------------------------
       4     2     2                        
      u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,1,0 1,0,2 0,1,2  
      -----------------------------------------------------------------------
              3     2           2                  
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 1,0,2 0,1,2  
      -----------------------------------------------------------------------
       2     2     2     3                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,2 0,1,2  
      -----------------------------------------------------------------------
        2     2     2                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 1,0,2 0,1,2  
      -----------------------------------------------------------------------
        3           2     2                        
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,2 0,1,2  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,2,0 1,0,2 0,1,2  
      -----------------------------------------------------------------------
       5           2                        
      u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,0,1 1,0,2 0,1,2  
      -----------------------------------------------------------------------
              4                                          
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 1,0,1 1,0,2 0,1,2  
      -----------------------------------------------------------------------
       2     3           2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 1,0,2 0,1,2  
      -----------------------------------------------------------------------
        2     3                                          
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 1,0,2 0,1,2  
      -----------------------------------------------------------------------
        3     2                                          
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 1,0,2 0,1,2  
      -----------------------------------------------------------------------
       4                 2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 1,0,2 0,1,2  
      -----------------------------------------------------------------------
             4           2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 1,0,2 0,1,2  
      -----------------------------------------------------------------------
        2     3                                          
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 1,0,2 0,1,2  
      -----------------------------------------------------------------------
       3     2           2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 1,0,2 0,1,2  
      -----------------------------------------------------------------------
        3     2                                          
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 1,0,2 0,1,2  
      -----------------------------------------------------------------------
        4                                                
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,1,1 1,0,2 0,1,2  
      -----------------------------------------------------------------------
       5           2                        
      u     u     u     u     u     u      -
       1,0,0 0,0,1 0,2,0 0,1,1 1,0,2 0,1,2  
      -----------------------------------------------------------------------
              5     2                        
      2u     u     u     u     u     u      +
        1,0,0 0,1,0 2,0,0 0,0,2 1,0,2 0,1,2  
      -----------------------------------------------------------------------
        2     4                                    
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 2,0,0 1,1,0 0,0,2 1,0,2 0,1,2  
      -----------------------------------------------------------------------
        3     3     2                        
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 1,1,0 0,0,2 1,0,2 0,1,2  
      -----------------------------------------------------------------------
        3     3                                    
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 2,0,0 0,2,0 0,0,2 1,0,2 0,1,2  
      -----------------------------------------------------------------------
        4     2                                    
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 1,1,0 0,2,0 0,0,2 1,0,2 0,1,2  
      -----------------------------------------------------------------------
        5           2                          4     2     3     2      
      2u     u     u     u     u     u      + u     u     u     u      -
        1,0,0 0,1,0 0,2,0 0,0,2 1,0,2 0,1,2    0,1,0 0,0,1 2,0,0 0,1,2  
      -----------------------------------------------------------------------
              3     2     2           2      
      2u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,2  
      -----------------------------------------------------------------------
       2     2     2           2     2      
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,2  
      -----------------------------------------------------------------------
        2     2     2     2           2      
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,2  
      -----------------------------------------------------------------------
        3           2                       2      
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 0,1,2  
      -----------------------------------------------------------------------
       4     2           2     2              4           2           2      
      u     u     u     u     u      - u     u     u     u     u     u      +
       1,0,0 0,0,1 2,0,0 0,2,0 0,1,2    1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,2  
      -----------------------------------------------------------------------
        2     3                             2      
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 1,0,1 0,1,2  
      -----------------------------------------------------------------------
       3     2           2           2      
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,2  
      -----------------------------------------------------------------------
        3     2                             2      
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 0,1,2  
      -----------------------------------------------------------------------
        4                                   2      
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 0,1,2  
      -----------------------------------------------------------------------
       5           2           2        2     4     2           2      
      u     u     u     u     u      + u     u     u     u     u      -
       1,0,0 0,0,1 0,2,0 1,0,1 0,1,2    1,0,0 0,1,0 2,0,0 0,0,2 0,1,2  
      -----------------------------------------------------------------------
        3     3                       2        4     2     2           2    
      2u     u     u     u     u     u      + u     u     u     u     u     
        1,0,0 0,1,0 2,0,0 1,1,0 0,0,2 0,1,2    1,0,0 0,1,0 1,1,0 0,0,2 0,1,2
      -----------------------------------------------------------------------
          4     2                       2      
      + 2u     u     u     u     u     u      -
          1,0,0 0,1,0 2,0,0 0,2,0 0,0,2 0,1,2  
      -----------------------------------------------------------------------
        5                             2        6     2           2      
      2u     u     u     u     u     u      + u     u     u     u      +
        1,0,0 0,1,0 1,1,0 0,2,0 0,0,2 0,1,2    1,0,0 0,2,0 0,0,2 0,1,2  
      -----------------------------------------------------------------------
       3     3     3                    6     3                  
      u     u     u     u     u      - u     u     u     u      -
       0,1,0 0,0,1 1,1,0 3,0,0 0,3,0    0,0,1 1,1,0 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      3u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        6                                    
      3u     u     u     u     u     u      -
        0,0,1 2,0,0 1,1,0 0,2,0 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              2     3     2                        
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              2     3           2                  
      6u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        2           3           2                  
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        3     3     3                     4     2     2                      
      2u     u     u     u     u      - 3u     u     u     u     u     u     
        1,0,0 0,0,1 0,2,0 3,0,0 0,3,0     0,1,0 0,0,1 1,1,0 1,0,1 3,0,0 0,3,0
      -----------------------------------------------------------------------
                5     2                        
      + 3u     u     u     u     u     u      +
          0,1,0 0,0,1 1,1,0 1,0,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      3u     u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              5                                    
      3u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              3     2                                    
      9u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              5                                    
      3u     u     u     u     u     u     u      -
        1,0,0 0,0,1 1,1,0 0,2,0 1,0,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        2     2     2     2                        
      9u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        5                 2                  
      3u     u     u     u     u     u      -
        0,1,0 0,0,1 1,1,0 1,0,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        2     4           2                  
      3u     u     u     u     u     u      -
        0,1,0 0,0,1 1,1,0 1,0,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              4                 2                  
      6u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
                    4           2                    6     3                
      3u     u     u     u     u     u     u      - u     u     u     u     
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 3,0,0 0,3,0    0,1,0 1,0,1 3,0,0 0,3,0
      -----------------------------------------------------------------------
         3     3     3                  
      + u     u     u     u     u      +
         0,1,0 0,0,1 1,0,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      3u     u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              5                                    
      3u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              5     2                        
      3u     u     u     u     u     u      -
        1,0,0 0,0,1 1,1,0 0,1,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              3     2                                    
      9u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              5                                    
      3u     u     u     u     u     u     u      +
        1,0,0 0,0,1 2,0,0 0,2,0 0,1,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        3           2     2                        
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        5                                          
      3u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      3u     u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              4                                          
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
                    4                                    
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        2     3                                          
      9u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      3u     u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 1,0,1 0,1,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              5     2                        
      3u     u     u     u     u     u      +
        1,0,0 0,1,0 1,0,1 0,1,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              4                 2                  
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
                    4           2                  
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        2     4           2                  
      3u     u     u     u     u     u      -
        1,0,0 0,0,1 1,1,0 0,1,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        3     2                 2                  
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        2     4           2                    3     3     3                
      3u     u     u     u     u     u      + u     u     u     u     u     
        1,0,0 0,1,0 1,0,1 0,1,1 3,0,0 0,3,0    1,0,0 0,1,0 0,1,1 3,0,0 0,3,0
      -----------------------------------------------------------------------
         3     3     3                  
      + u     u     u     u     u      -
         1,0,0 0,0,1 0,1,1 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        5                                          
      3u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      3u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              4           2                        
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
                    4     2                        
      6u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              4                                          
      6u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
                    4                                    
      6u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        2     3                                          
      9u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      3u     u     u     u     u     u     u      +
        1,0,0 0,0,1 1,1,0 0,2,0 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        3     2           2                        
      6u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        6                                    
      3u     u     u     u     u     u      -
        0,1,0 2,0,0 1,0,1 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      3u     u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              5                                    
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 1,1,0 1,0,1 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              2     3                                    
      9u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,2,0 1,0,1 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        2           3                                    
      9u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              3     2     2                        
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,0,1 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              5                                    
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 2,0,0 0,1,1 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              2     3                                    
      9u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 1,1,0 0,1,1 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        2           3                                    
      9u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,2,0 0,1,1 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      3u     u     u     u     u     u     u      -
        1,0,0 0,0,1 0,2,0 0,1,1 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        3           2     2                        
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,1,1 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
              3     2           2                  
      6u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        2     2     2           2                  
      9u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        3           2           2                  
      6u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        2     3                 2                  
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,0,1 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        3     2                 2                  
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,1,1 0,0,2 3,0,0 0,3,0  
      -----------------------------------------------------------------------
        3     3     3                    3     3           2                
      2u     u     u     u     u      - u     u     u     u     u     u     
        1,0,0 0,1,0 0,0,2 3,0,0 0,3,0    0,1,0 0,0,1 2,0,0 1,1,0 2,1,0 0,3,0
      -----------------------------------------------------------------------
         6           2                  
      + u     u     u     u     u      +
         0,0,1 2,0,0 1,1,0 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        3     3     2                           6     2                      
      2u     u     u     u     u     u      - 2u     u     u     u     u     
        0,1,0 0,0,1 2,0,0 0,2,0 2,1,0 0,3,0     0,0,1 2,0,0 0,2,0 2,1,0 0,3,0
      -----------------------------------------------------------------------
                2     3                                    
      + 3u     u     u     u     u     u     u     u      -
          1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        2           3           2                  
      6u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 2,1,0 0,3,0  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,2,0 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 1,1,0 1,0,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
              5                                    
      2u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 1,1,0 1,0,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
             3     2     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
             5     2                        
      u     u     u     u     u     u      -
       1,0,0 0,0,1 1,1,0 1,0,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
              3     2                                    
      7u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
              5                                    
      4u     u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,2,0 1,0,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        2     2     2                                    
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        3           2     2                        
      5u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
       5                 2                  
      u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,0,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,0,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
              4                 2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
                    4           2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        2     3                 2                  
      5u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        2     4           2                          5     3                
      2u     u     u     u     u     u      + u     u     u     u     u     
        1,0,0 0,0,1 0,2,0 1,0,1 2,1,0 0,3,0    1,0,0 0,1,0 1,0,1 2,1,0 0,3,0
      -----------------------------------------------------------------------
               2     3     3                  
      - u     u     u     u     u     u      -
         1,0,0 0,1,0 0,0,1 1,0,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        4     2     2                        
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,1,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
              5     2                        
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,1,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
             3     2                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
              5                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,0,1 2,0,0 1,1,0 0,1,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        2     2     2                                    
      9u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        3           2                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,1,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
       4     2     2                        
      u     u     u     u     u     u      +
       1,0,0 0,0,1 0,2,0 0,1,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
              4                                          
      5u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
                    4                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
       2     3                                          
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,0,1 1,1,0 1,0,1 0,1,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        3     2                                          
      7u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        2     4     2                        
      3u     u     u     u     u     u      -
        1,0,0 0,1,0 1,0,1 0,1,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        2     3                 2                  
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 2,0,0 0,1,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
       3     2                 2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        4                       2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        3     3           2                  
      3u     u     u     u     u     u      -
        1,0,0 0,1,0 1,0,1 0,1,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
       3     3           2                    4     2     3                  
      u     u     u     u     u     u      - u     u     u     u     u      +
       1,0,0 0,0,1 1,0,1 0,1,1 2,1,0 0,3,0    1,0,0 0,1,0 0,1,1 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        5           2                        
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        2     4     2                        
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
             4                                          
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
                    4                                    
      4u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
       2     3           2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
       2     4     2                        
      u     u     u     u     u     u      -
       1,0,0 0,0,1 1,1,0 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        2     3                                          
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      4u     u     u     u     u     u     u      +
        1,0,0 0,0,1 2,0,0 0,2,0 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        3     2                                          
      5u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        4                 2                        
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
              5                                    
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 2,0,0 1,0,1 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 1,1,0 1,0,1 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        2           3                                    
      6u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,2,0 1,0,1 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      4u     u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 1,0,1 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        2     2     2     2                        
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,0,1 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 2,0,0 0,1,1 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 1,1,0 0,1,1 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,0,1 1,1,0 0,1,1 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,2,0 0,1,1 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        3           2                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
       4     2     2                        
      u     u     u     u     u     u      +
       1,0,0 0,0,1 0,1,1 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        3           2           2                  
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        4     2           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 0,2,0 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        3     2                 2                  
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,0,1 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        4                       2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,1,1 0,0,2 2,1,0 0,3,0  
      -----------------------------------------------------------------------
        4     2     3                    3     3     2                      
      2u     u     u     u     u      + u     u     u     u     u     u     
        1,0,0 0,1,0 0,0,2 2,1,0 0,3,0    0,1,0 0,0,1 2,0,0 1,1,0 1,2,0 0,3,0
      -----------------------------------------------------------------------
         6     2                        
      - u     u     u     u     u      -
         0,0,1 2,0,0 1,1,0 1,2,0 0,3,0  
      -----------------------------------------------------------------------
              2     3     2                        
      6u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        2           3                                    
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 1,2,0 0,3,0  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,2,0 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        3     3           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,2,0 1,2,0 0,3,0  
      -----------------------------------------------------------------------
       4     2     2                        
      u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,0,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
             5     2                        
      u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,0,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
              3     2                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 1,0,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
              5                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,0,1 2,0,0 1,1,0 1,0,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        2     2     2                                    
      9u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
       3           2                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        4     2     2                        
      2u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 1,0,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
              4                 2                  
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
                    4           2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
       2     3                 2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      -
       1,0,0 0,0,1 1,1,0 1,0,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        3     2                 2                  
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
       2     4     3                    2           3     3                  
      u     u     u     u     u      + u     u     u     u     u     u      +
       1,0,0 0,1,0 1,0,1 1,2,0 0,3,0    1,0,0 0,1,0 0,0,1 1,0,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
              3     2     2                        
      5u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
             5     2                        
      u     u     u     u     u     u      -
       1,0,0 0,0,1 2,0,0 0,1,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        2     2     2                                    
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
       3           2     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        3           2                                    
      7u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,0,1 1,1,0 0,2,0 0,1,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        2     3                                          
      7u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,0,1 2,0,0 1,0,1 0,1,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
       3     2                                          
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        4                                                
      5u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,1,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        3     3     2                        
      3u     u     u     u     u     u      +
        1,0,0 0,1,0 1,0,1 0,1,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,0,1 0,1,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        3     2                 2                  
      5u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        4                       2                  
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
       5                 2                  
      u     u     u     u     u     u      -
       1,0,0 0,0,1 0,2,0 0,1,1 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        4     2           2                    5           3                
      3u     u     u     u     u     u      + u     u     u     u     u     
        1,0,0 0,1,0 1,0,1 0,1,1 1,2,0 0,3,0    1,0,0 0,1,0 0,1,1 1,2,0 0,3,0
      -----------------------------------------------------------------------
                4           2                        
      - 4u     u     u     u     u     u     u      -
          1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
                    4     2                        
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        2     3                                          
      5u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 1,1,0 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
       3     2           2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        3     2                                          
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
       4                                                
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        5           2                        
      2u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 2,0,0 1,0,1 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        2           3                                    
      6u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 1,1,0 1,0,1 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,0,1 1,1,0 1,0,1 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,2,0 1,0,1 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        3           2     2                        
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,0,1 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 2,0,0 0,1,1 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,0,1 2,0,0 0,1,1 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 1,1,0 0,1,1 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        5                                          
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,2,0 0,1,1 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,0,1 1,0,1 0,1,1 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        3           2           2                  
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
        4                       2                  
      5u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,0,1 0,0,2 1,2,0 0,3,0  
      -----------------------------------------------------------------------
       5                 2                     5           3                
      u     u     u     u     u     u      - 2u     u     u     u     u     
       1,0,0 0,0,1 0,1,1 0,0,2 1,2,0 0,3,0     1,0,0 0,1,0 0,0,2 1,2,0 0,3,0
      -----------------------------------------------------------------------
         4     2           2                  
      + u     u     u     u     u     u      -
         0,1,0 0,0,1 2,0,0 1,1,0 2,0,1 0,3,0  
      -----------------------------------------------------------------------
             5           2                  
      u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,1,0 2,0,1 0,3,0  
      -----------------------------------------------------------------------
             3     2     3                          5     3                  
      u     u     u     u     u     u      + u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 2,0,1 0,3,0    1,0,0 0,0,1 1,1,0 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        4     2     2                        
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,2,0 2,0,1 0,3,0  
      -----------------------------------------------------------------------
              5     2                        
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,2,0 2,0,1 0,3,0  
      -----------------------------------------------------------------------
              5                                    
      3u     u     u     u     u     u     u      +
        1,0,0 0,0,1 2,0,0 1,1,0 0,2,0 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        2     2     2     2                        
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        3           2           2                  
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        4     2     3                  
      2u     u     u     u     u      -
        1,0,0 0,0,1 0,2,0 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        5                                          
      2u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 1,1,0 1,0,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 1,1,0 1,0,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
              4           2                        
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
                    4     2                        
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
              4                                          
      4u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
                   4                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        2     3                                          
      6u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      3u     u     u     u     u     u     u      +
        1,0,0 0,0,1 1,1,0 0,2,0 1,0,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        3     2           2                        
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
       6           2                    3     3           2                  
      u     u     u     u     u      - u     u     u     u     u     u      -
       0,1,0 2,0,0 1,0,1 2,0,1 0,3,0    0,1,0 0,0,1 2,0,0 1,0,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
             5           2                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 1,1,0 1,0,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
             2     3           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,2,0 1,0,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
       2           3           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        5           2                        
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,1,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        2     4     2                        
      2u     u     u     u     u     u      -
        0,1,0 0,0,1 2,0,0 0,1,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
              4                                          
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
                    4                                    
      5u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        2     4     2                        
      3u     u     u     u     u     u      +
        1,0,0 0,0,1 1,1,0 0,1,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      3u     u     u     u     u     u     u      +
        1,0,0 0,0,1 2,0,0 0,2,0 0,1,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        3     2                                          
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,1,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        4                 2                        
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 0,1,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
              5                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 2,0,0 1,0,1 0,1,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
             2     3                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 1,1,0 1,0,1 0,1,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
       2           3                                    
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,2,0 1,0,1 0,1,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      3u     u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 1,0,1 0,1,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 2,0,0 0,1,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        2           3           2                  
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 1,1,0 0,1,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        3     3           2                  
      3u     u     u     u     u     u      +
        1,0,0 0,0,1 1,1,0 0,1,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,2,0 0,1,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
       3           2           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 2,0,1 0,3,0  
      -----------------------------------------------------------------------
       4     2     3                     6     2                        
      u     u     u     u     u      - 2u     u     u     u     u      +
       1,0,0 0,0,1 0,1,1 2,0,1 0,3,0     0,1,0 2,0,0 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        3     3     2                        
      2u     u     u     u     u     u      +
        0,1,0 0,0,1 2,0,0 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
              5                                    
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 2,0,0 1,1,0 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
              2     3                                    
      7u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        2     4     2                        
      2u     u     u     u     u     u      +
        1,0,0 0,1,0 1,1,0 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        2           3     2                        
      5u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 2,0,0 0,2,0 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        2           3                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 1,1,0 0,2,0 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      3u     u     u     u     u     u     u      -
        1,0,0 0,0,1 1,1,0 0,2,0 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        4     2     2                        
      2u     u     u     u     u     u      +
        1,0,0 0,1,0 0,2,0 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
              3     2                                    
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        2     2     2                                    
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        3           2                                    
      5u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        2     2     2                                    
      9u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        3           2                                    
      7u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      3u     u     u     u     u     u     u      -
        1,0,0 0,0,1 0,2,0 0,1,1 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        3     2                                          
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        4                 2                        
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,1,1 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        2     3                 2                  
      6u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        3     2                 2                  
      5u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
        4                       2                  
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 0,2,0 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 1,0,1 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,1,1 0,0,2 2,0,1 0,3,0  
      -----------------------------------------------------------------------
       4     2     2                        
      u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,1,0 1,1,1 0,3,0  
      -----------------------------------------------------------------------
             5     2                        
      u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,1,0 1,1,1 0,3,0  
      -----------------------------------------------------------------------
             3     2           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 1,1,1 0,3,0  
      -----------------------------------------------------------------------
             5           2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 2,0,0 1,1,0 1,1,1 0,3,0  
      -----------------------------------------------------------------------
              3     2     2                        
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,1,1 0,3,0  
      -----------------------------------------------------------------------
              5     2                        
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,2,0 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        2     2     2                                    
      6u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       3           2     2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        3           2           2                  
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,2,0 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       5           2                        
      u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,0,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       2     4     2                        
      u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,0,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       2     3           2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       2     4     2                        
      u     u     u     u     u     u      -
       1,0,0 0,0,1 1,1,0 1,0,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        2     3                                          
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      4u     u     u     u     u     u     u      +
        1,0,0 0,0,1 2,0,0 0,2,0 1,0,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        3     2                                          
      4u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        4                 2                        
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
             5           2                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 2,0,0 1,0,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
             2     3           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 1,1,0 1,0,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       2           3           2                  
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,2,0 1,0,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        3     3           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 0,2,0 1,0,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
              4           2                        
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
                    4     2                        
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        2     3                                          
      4u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 1,1,0 0,1,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       3     2           2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        3     2                                          
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       5           2                        
      u     u     u     u     u     u      +
       1,0,0 0,0,1 0,2,0 0,1,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 2,0,0 1,0,1 0,1,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        2           3                                    
      4u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 1,1,0 1,0,1 0,1,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,0,1 1,1,0 1,0,1 0,1,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,2,0 1,0,1 0,1,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       3           2     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 2,0,0 0,1,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 2,0,0 0,1,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 1,1,0 0,1,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       5                 2                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,2,0 0,1,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,0,1 0,1,1 1,1,1 0,3,0  
      -----------------------------------------------------------------------
              5     2                        
      2u     u     u     u     u     u      +
        1,0,0 0,1,0 2,0,0 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
              2     3     2                        
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 2,0,0 1,1,0 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        2           3                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        3     3     2                        
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 1,1,0 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 2,0,0 0,2,0 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      4u     u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,2,0 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 1,1,0 0,2,0 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        5           2                        
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 0,2,0 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        2     2     2                                    
      6u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        3           2                                    
      4u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      4u     u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 1,0,1 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       3     2           2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,0,1 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        3           2                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,0,1 1,1,0 0,1,1 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       5           2                        
      u     u     u     u     u     u      +
       1,0,0 0,0,1 0,1,1 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        3     2                 2                  
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        4                       2                  
      3u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
        5                 2                  
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 0,2,0 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 1,0,1 0,0,2 1,1,1 0,3,0  
      -----------------------------------------------------------------------
       5                 2                     4     2     3                
      u     u     u     u     u     u      + 2u     u     u     u     u     
       1,0,0 0,1,0 0,1,1 0,0,2 1,1,1 0,3,0     0,1,0 0,0,1 2,0,0 0,2,1 0,3,0
      -----------------------------------------------------------------------
                5     3                  
      - 2u     u     u     u     u      -
          0,1,0 0,0,1 2,0,0 0,2,1 0,3,0  
      -----------------------------------------------------------------------
              3     2     2                        
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,1 0,3,0  
      -----------------------------------------------------------------------
             5     2                        
      u     u     u     u     u     u      +
       1,0,0 0,0,1 2,0,0 1,1,0 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        2     2     2           2                  
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,1 0,3,0  
      -----------------------------------------------------------------------
       3           2     3                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 0,2,1 0,3,0  
      -----------------------------------------------------------------------
       4     2     2                        
      u     u     u     u     u     u      -
       1,0,0 0,0,1 1,1,0 0,2,0 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        4     2           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,2,0 0,2,1 0,3,0  
      -----------------------------------------------------------------------
              4           2                        
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
                    4     2                        
      5u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        2     3                                          
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 1,0,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 1,1,0 1,0,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        4                                                
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        5           2                        
      2u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 1,0,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 2,0,0 1,0,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        2           3           2                  
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 1,1,0 1,0,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
       3     3           2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 1,0,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,2,0 1,0,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
       3           2     3                  
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,0,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        2     3           2                        
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
       2     4     2                        
      u     u     u     u     u     u      -
       1,0,0 0,0,1 2,0,0 0,1,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        3     2                                          
      6u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        4                 2                        
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        4                                                
      4u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        5                                          
      2u     u     u     u     u     u     u      -
        1,0,0 0,0,1 1,1,0 0,2,0 0,1,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 2,0,0 1,0,1 0,1,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,0,1 2,0,0 1,0,1 0,1,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 1,1,0 1,0,1 0,1,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        5                                          
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,2,0 1,0,1 0,1,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
       4     2     2                        
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,0,1 0,1,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 2,0,0 0,1,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
       5                 2                    6           2                  
      u     u     u     u     u     u      + u     u     u     u     u      -
       1,0,0 0,1,0 1,1,0 0,1,1 0,2,1 0,3,0    1,0,0 0,2,0 0,1,1 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        2     4     2                        
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 2,0,0 0,0,2 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        2           3     2                        
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 2,0,0 1,1,0 0,0,2 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 1,1,0 0,0,2 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        4     2     2                        
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 1,1,0 0,0,2 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 2,0,0 0,2,0 0,0,2 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        5                                          
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 1,1,0 0,2,0 0,0,2 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        6     2                        
      2u     u     u     u     u      +
        1,0,0 0,2,0 0,0,2 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        3           2                                    
      6u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,0,1 1,1,0 1,0,1 0,0,2 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        4                 2                        
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,0,1 0,0,2 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,0,1 2,0,0 0,1,1 0,0,2 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        5                                          
      2u     u     u     u     u     u     u      -
        1,0,0 0,0,1 1,0,1 0,1,1 0,0,2 0,2,1 0,3,0  
      -----------------------------------------------------------------------
        4                       2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 0,2,1 0,3,0  
      -----------------------------------------------------------------------
       5                 2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,0,2 0,2,1 0,3,0  
      -----------------------------------------------------------------------
       5                 2                    6           2                  
      u     u     u     u     u     u      - u     u     u     u     u      +
       1,0,0 0,1,0 1,0,1 0,0,2 0,2,1 0,3,0    1,0,0 0,1,1 0,0,2 0,2,1 0,3,0  
      -----------------------------------------------------------------------
       5           2                        
      u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,1,0 1,0,2 0,3,0  
      -----------------------------------------------------------------------
       2     4     2                        
      u     u     u     u     u     u      -
       0,1,0 0,0,1 2,0,0 1,1,0 1,0,2 0,3,0  
      -----------------------------------------------------------------------
              4                 2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 1,0,2 0,3,0  
      -----------------------------------------------------------------------
                    4           2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 1,0,2 0,3,0  
      -----------------------------------------------------------------------
       2     3           3                    2     4     3                  
      u     u     u     u     u     u      - u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,2 0,3,0    1,0,0 0,0,1 1,1,0 1,0,2 0,3,0  
      -----------------------------------------------------------------------
              4           2                        
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,2 0,3,0  
      -----------------------------------------------------------------------
                    4     2                        
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        2     3                                          
      6u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      3u     u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 1,1,0 0,2,0 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        3     2           2                        
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        3     2                 2                  
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        4                       2                  
      5u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        5           3                    6     2                        
      2u     u     u     u     u      - u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 1,0,2 0,3,0    0,1,0 2,0,0 1,0,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      +
       0,1,0 0,0,1 2,0,0 1,0,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
              5                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 2,0,0 1,1,0 1,0,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
              2     3                                    
      2u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 1,0,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
       2     4     2                        
      u     u     u     u     u     u      +
       1,0,0 0,1,0 1,1,0 1,0,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
       2           3     2                        
      u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 2,0,0 0,2,0 1,0,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        2           3                                    
      5u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 1,1,0 0,2,0 1,0,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      3u     u     u     u     u     u     u      -
        1,0,0 0,0,1 1,1,0 0,2,0 1,0,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
       4     2     2                        
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,2,0 1,0,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
       3           2           2                  
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
             5     2                        
      u     u     u     u     u     u      +
       1,0,0 0,1,0 2,0,0 0,1,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
              2     3     2                        
      5u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 2,0,0 1,1,0 0,1,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        2           3                                    
      7u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      +
       1,0,0 0,1,0 1,1,0 0,1,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        3     3     2                        
      3u     u     u     u     u     u      +
        1,0,0 0,0,1 1,1,0 0,1,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 2,0,0 0,2,0 0,1,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      3u     u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,2,0 0,1,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 1,1,0 0,2,0 0,1,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
       5           2                        
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,2,0 0,1,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        2     2     2                                    
      3u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
       3           2                                    
      u     u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      3u     u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 1,0,1 0,1,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
       3     2           2                        
      u     u     u     u     u     u     u      +
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        3           2           2                  
      5u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        4     2           2                  
      3u     u     u     u     u     u      -
        1,0,0 0,0,1 1,1,0 0,1,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        4                       2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
       5           3                  
      u     u     u     u     u      -
       1,0,0 0,0,1 0,1,1 1,0,2 0,3,0  
      -----------------------------------------------------------------------
              3     2     2                        
      6u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        2     2     2                                    
      9u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        3           2     2                        
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        3           2                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      3u     u     u     u     u     u     u      +
        1,0,0 0,0,1 1,1,0 0,2,0 0,0,2 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        2     3                                          
      3u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,0,2 1,0,2 0,3,0  
      -----------------------------------------------------------------------
       3     2                                          
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 1,0,2 0,3,0  
      -----------------------------------------------------------------------
       4                                                
      u     u     u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,0,2 1,0,2 0,3,0  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      -
       1,0,0 0,1,0 1,0,1 0,0,2 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        3     2                                          
      7u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        4                                                
      5u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,1,1 0,0,2 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        5                                          
      3u     u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 0,1,1 0,0,2 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 1,0,1 0,1,1 0,0,2 1,0,2 0,3,0  
      -----------------------------------------------------------------------
       5           2                        
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,1,1 0,0,2 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        3     3           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,1,0 2,0,0 0,0,2 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        4     2           2                  
      2u     u     u     u     u     u      +
        1,0,0 0,1,0 1,1,0 0,0,2 1,0,2 0,3,0  
      -----------------------------------------------------------------------
        5                 2                     5           3                
      2u     u     u     u     u     u      - 2u     u     u     u     u     
        1,0,0 0,1,0 0,2,0 0,0,2 1,0,2 0,3,0     0,1,0 0,0,1 2,0,0 0,1,2 0,3,0
      -----------------------------------------------------------------------
          2     4     3                  
      + 2u     u     u     u     u      +
          0,1,0 0,0,1 2,0,0 0,1,2 0,3,0  
      -----------------------------------------------------------------------
              4           2                        
      5u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,2 0,3,0  
      -----------------------------------------------------------------------
                    4     2                        
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        2     3                 2                  
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,2 0,3,0  
      -----------------------------------------------------------------------
       2     4           2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 2,0,0 1,1,0 0,1,2 0,3,0  
      -----------------------------------------------------------------------
       3     2           3                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,1,0 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        2     3           2                        
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        2     4     2                        
      2u     u     u     u     u     u      +
        1,0,0 0,0,1 2,0,0 0,2,0 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        3     2                                          
      6u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,2,0 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        4                 2                        
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 0,2,0 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        4                       2                  
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,1,2 0,3,0  
      -----------------------------------------------------------------------
       5                 2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,2,0 0,1,2 0,3,0  
      -----------------------------------------------------------------------
             5     2                        
      u     u     u     u     u     u      -
       1,0,0 0,1,0 2,0,0 1,0,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
              2     3     2                        
      4u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        2     4                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 2,0,0 1,1,0 1,0,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        2           3                                    
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 1,0,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      -
       1,0,0 0,1,0 1,1,0 1,0,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
       3     3     2                        
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 1,0,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 2,0,0 0,2,0 1,0,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      4u     u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,2,0 1,0,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 1,1,0 0,2,0 1,0,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
       5           2                        
      u     u     u     u     u     u      +
       1,0,0 0,1,0 0,2,0 1,0,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        2     2     2           2                  
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        4     2           2                  
      2u     u     u     u     u     u      -
        1,0,0 0,0,1 0,2,0 1,0,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
       3     2           3                  
      u     u     u     u     u     u      -
       1,0,0 0,1,0 0,0,1 1,0,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
       2     4     2                        
      u     u     u     u     u     u      +
       1,0,0 0,1,0 2,0,0 0,1,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        2           3     2                        
      4u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 2,0,0 1,1,0 0,1,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        3     3                                    
      2u     u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 1,1,0 0,1,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
       4     2     2                        
      u     u     u     u     u     u      -
       1,0,0 0,1,0 1,1,0 0,1,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 2,0,0 0,2,0 0,1,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        5                                          
      2u     u     u     u     u     u     u      -
        1,0,0 0,1,0 1,1,0 0,2,0 0,1,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
       6     2                        
      u     u     u     u     u      -
       1,0,0 0,2,0 0,1,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        3           2                                    
      6u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      2u     u     u     u     u     u     u      +
        1,0,0 0,0,1 1,1,0 1,0,1 0,1,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        4                 2                        
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,0,1 0,1,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
       4     2           2                  
      u     u     u     u     u     u      -
       1,0,0 0,0,1 2,0,0 0,1,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
       5                 2                  
      u     u     u     u     u     u      +
       1,0,0 0,0,1 1,0,1 0,1,1 0,1,2 0,3,0  
      -----------------------------------------------------------------------
       4     2     2                        
      u     u     u     u     u     u      -
       1,0,0 0,0,1 1,1,0 0,0,2 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        4     2                                    
      4u     u     u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,2,0 0,0,2 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        4                                                
      2u     u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,0,2 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        5                                          
      4u     u     u     u     u     u     u      +
        1,0,0 0,0,1 0,2,0 1,0,1 0,0,2 0,1,2 0,3,0  
      -----------------------------------------------------------------------
       4     2     2                        
      u     u     u     u     u     u      +
       1,0,0 0,1,0 1,0,1 0,0,2 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        4                                                
      4u     u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,0,2 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        5                                          
      2u     u     u     u     u     u     u      -
        1,0,0 0,0,1 1,1,0 0,1,1 0,0,2 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        5                                          
      2u     u     u     u     u     u     u      +
        1,0,0 0,1,0 1,0,1 0,1,1 0,0,2 0,1,2 0,3,0  
      -----------------------------------------------------------------------
       6     2                           4     2           2                
      u     u     u     u     u      - 2u     u     u     u     u     u     
       1,0,0 0,1,1 0,0,2 0,1,2 0,3,0     1,0,0 0,1,0 2,0,0 0,0,2 0,1,2 0,3,0
      -----------------------------------------------------------------------
          5                 2                  
      + 2u     u     u     u     u     u      -
          1,0,0 0,1,0 1,1,0 0,0,2 0,1,2 0,3,0  
      -----------------------------------------------------------------------
        6           2                    6     3     2      
      2u     u     u     u     u      + u     u     u      -
        1,0,0 0,2,0 0,0,2 0,1,2 0,3,0    0,1,0 2,0,0 0,3,0  
      -----------------------------------------------------------------------
        3     3     3     2        6     3     2      
      2u     u     u     u      + u     u     u      -
        0,1,0 0,0,1 2,0,0 0,3,0    0,0,1 2,0,0 0,3,0  
      -----------------------------------------------------------------------
              5     2           2               2     3     2           2    
      3u     u     u     u     u      + 3u     u     u     u     u     u     
        1,0,0 0,1,0 2,0,0 1,1,0 0,3,0     1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,3,0
      -----------------------------------------------------------------------
          2     4           2     2      
      + 3u     u     u     u     u      -
          1,0,0 0,1,0 2,0,0 1,1,0 0,3,0  
      -----------------------------------------------------------------------
        2           3           2     2        3     3     3     2      
      3u     u     u     u     u     u      - u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,3,0    1,0,0 0,1,0 1,1,0 0,3,0  
      -----------------------------------------------------------------------
       3     3     3     2         2     4     2           2      
      u     u     u     u      + 3u     u     u     u     u      +
       1,0,0 0,0,1 1,1,0 0,3,0     1,0,0 0,1,0 2,0,0 0,2,0 0,3,0  
      -----------------------------------------------------------------------
        2           3     2           2      
      6u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,3,0  
      -----------------------------------------------------------------------
        3     3                       2      
      6u     u     u     u     u     u      -
        1,0,0 0,1,0 2,0,0 1,1,0 0,2,0 0,3,0  
      -----------------------------------------------------------------------
        3     3                       2         4     2     2           2    
      3u     u     u     u     u     u      + 3u     u     u     u     u     
        1,0,0 0,0,1 2,0,0 1,1,0 0,2,0 0,3,0     1,0,0 0,1,0 1,1,0 0,2,0 0,3,0
      -----------------------------------------------------------------------
          4     2           2     2         5                 2     2      
      + 3u     u     u     u     u      - 3u     u     u     u     u      +
          1,0,0 0,1,0 2,0,0 0,2,0 0,3,0     1,0,0 0,1,0 1,1,0 0,2,0 0,3,0  
      -----------------------------------------------------------------------
       6     3     2               3     2     2           2      
      u     u     u      + 3u     u     u     u     u     u      -
       1,0,0 0,2,0 0,3,0     1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,3,0  
      -----------------------------------------------------------------------
              5     2           2      
      3u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 1,0,1 0,3,0  
      -----------------------------------------------------------------------
        3           2                       2      
      9u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 1,0,1 0,3,0  
      -----------------------------------------------------------------------
        4     2                       2      
      3u     u     u     u     u     u      -
        1,0,0 0,0,1 1,1,0 0,2,0 1,0,1 0,3,0  
      -----------------------------------------------------------------------
        2     3                 2     2         2     4           2     2    
      3u     u     u     u     u     u      + 3u     u     u     u     u     
        1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,3,0     1,0,0 0,0,1 2,0,0 1,0,1 0,3,0
      -----------------------------------------------------------------------
          4                       2     2        3     3     3     2      
      + 3u     u     u     u     u     u      + u     u     u     u      -
          1,0,0 0,1,0 0,0,1 0,2,0 1,0,1 0,3,0    1,0,0 0,1,0 1,0,1 0,3,0  
      -----------------------------------------------------------------------
       3     3     3     2         2     2     2     2           2      
      u     u     u     u      - 9u     u     u     u     u     u      +
       1,0,0 0,0,1 1,0,1 0,3,0     1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,3,0  
      -----------------------------------------------------------------------
        3           2                       2      
      9u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,1,1 0,3,0  
      -----------------------------------------------------------------------
        4     2     2           2         4     2                       2    
      3u     u     u     u     u      + 3u     u     u     u     u     u     
        1,0,0 0,0,1 1,1,0 0,1,1 0,3,0     1,0,0 0,0,1 2,0,0 0,2,0 0,1,1 0,3,0
      -----------------------------------------------------------------------
          3     2                             2      
      + 9u     u     u     u     u     u     u      -
          1,0,0 0,1,0 0,0,1 2,0,0 1,0,1 0,1,1 0,3,0  
      -----------------------------------------------------------------------
        4                                   2      
      3u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 1,1,0 1,0,1 0,1,1 0,3,0  
      -----------------------------------------------------------------------
        5                             2         4     2     2           2    
      3u     u     u     u     u     u      - 3u     u     u     u     u     
        1,0,0 0,0,1 0,2,0 1,0,1 0,1,1 0,3,0     1,0,0 0,1,0 1,0,1 0,1,1 0,3,0
      -----------------------------------------------------------------------
          4                       2     2      
      - 6u     u     u     u     u     u      +
          1,0,0 0,1,0 0,0,1 2,0,0 0,1,1 0,3,0  
      -----------------------------------------------------------------------
        5                 2     2         5                 2     2      
      3u     u     u     u     u      + 3u     u     u     u     u      -
        1,0,0 0,0,1 1,1,0 0,1,1 0,3,0     1,0,0 0,1,0 1,0,1 0,1,1 0,3,0  
      -----------------------------------------------------------------------
       6     3     2         2     3           2           2      
      u     u     u      + 6u     u     u     u     u     u      +
       1,0,0 0,1,1 0,3,0     1,0,0 0,1,0 0,0,1 2,0,0 0,0,2 0,3,0  
      -----------------------------------------------------------------------
        2     4     2           2      
      3u     u     u     u     u      -
        1,0,0 0,0,1 2,0,0 0,0,2 0,3,0  
      -----------------------------------------------------------------------
        3     2                             2      
      9u     u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 2,0,0 1,1,0 0,0,2 0,3,0  
      -----------------------------------------------------------------------
        4                 2           2      
      3u     u     u     u     u     u      +
        1,0,0 0,1,0 0,0,1 1,1,0 0,0,2 0,3,0  
      -----------------------------------------------------------------------
        4                                   2      
      6u     u     u     u     u     u     u      -
        1,0,0 0,1,0 0,0,1 2,0,0 0,2,0 0,0,2 0,3,0  
      -----------------------------------------------------------------------
        5                             2      
      3u     u     u     u     u     u      -
        1,0,0 0,0,1 1,1,0 0,2,0 0,0,2 0,3,0  
      -----------------------------------------------------------------------
        3     3                       2      
      3u     u     u     u     u     u      -
        1,0,0 0,1,0 2,0,0 1,0,1 0,0,2 0,3,0  
      -----------------------------------------------------------------------
        3     3                       2      
      6u     u     u     u     u     u      +
        1,0,0 0,0,1 2,0,0 1,0,1 0,0,2 0,3,0  
      -----------------------------------------------------------------------
        4     2                       2      
      3u     u     u     u     u     u      -
        1,0,0 0,1,0 1,1,0 1,0,1 0,0,2 0,3,0  
      -----------------------------------------------------------------------
        5                             2         4     2     2           2    
      3u     u     u     u     u     u      + 3u     u     u     u     u     
        1,0,0 0,1,0 0,2,0 1,0,1 0,0,2 0,3,0     1,0,0 0,0,1 1,0,1 0,0,2 0,3,0
      -----------------------------------------------------------------------
          4     2                       2      
      + 3u     u     u     u     u     u      -
          1,0,0 0,1,0 2,0,0 0,1,1 0,0,2 0,3,0  
      -----------------------------------------------------------------------
        5                             2         6                       2    
      3u     u     u     u     u     u      + 3u     u     u     u     u     
        1,0,0 0,1,0 1,1,0 0,1,1 0,0,2 0,3,0     1,0,0 0,2,0 0,1,1 0,0,2 0,3,0
      -----------------------------------------------------------------------
          4     2           2     2         5                 2     2      
      + 3u     u     u     u     u      - 3u     u     u     u     u      +
          1,0,0 0,0,1 2,0,0 0,0,2 0,3,0     1,0,0 0,0,1 1,0,1 0,0,2 0,3,0  
      -----------------------------------------------------------------------
       6     3     2
      u     u     u
       1,0,0 0,0,2 0,3,0

o12 : ZZ[u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     , u     ]
          1,0,0   0,1,0   0,0,1   2,0,0   1,1,0   0,2,0   1,0,1   0,1,1   0,0,2   3,0,0   2,1,0   1,2,0   0,3,0   2,0,1   1,1,1   0,2,1   1,0,2   0,1,2   0,3,0

See also

Ways to use Resultant :