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K3Carpets :: carpetDet

carpetDet -- compute the determinant of the crucial constant strand of a carpet X(a,b)

Synopsis

Description

We compute nonminimal resolution F of the carpet of type (a,b) over a finite prime field, Lift this to a resolution over ZZ, introduce the fine grading, grep the various blocks of the crucial map in the a-th strand, compute their determinants and return their product.

i1 : a=4,b=4

o1 = (4, 4)

o1 : Sequence
i2 : d=carpetDet(a,b)
     -- 0.0357996 seconds elapsed
     -- 0.0122831 seconds elapsed
(number Of blocks, 26)
     -- 0.000135965 seconds elapsed
1
     -- 0.000108798 seconds elapsed
1
     -- 0.000101335 seconds elapsed
1
     -- 0.000140982 seconds elapsed
1
     -- 0.000094161 seconds elapsed
2
     -- 0.000103438 seconds elapsed
 2
2
     -- 0.0001221 seconds elapsed
 2
2
     -- 0.000143022 seconds elapsed
 2
2 3
     -- 0.000114338 seconds elapsed
 2
2 3
     -- 0.000110185 seconds elapsed
 2
2 3
     -- 0.000101079 seconds elapsed
 2
2
     -- 0.000115229 seconds elapsed
 2
2
     -- 0.000098646 seconds elapsed
2
     -- 0.000112415 seconds elapsed
2
     -- 0.000103399 seconds elapsed
 2
2
     -- 0.000117366 seconds elapsed
 2
2
     -- 0.000112166 seconds elapsed
 2
2 3
     -- 0.000109212 seconds elapsed
 2
2 3
     -- 0.000125251 seconds elapsed
 2
2 3
     -- 0.000135395 seconds elapsed
 2
2
     -- 0.000138573 seconds elapsed
 2
2
     -- 0.000099278 seconds elapsed
2
     -- 0.000099717 seconds elapsed
1
     -- 0.000128951 seconds elapsed
1
     -- 0.000110045 seconds elapsed
1
     -- 0.000107994 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :