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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)
 -- 0.0276761 seconds elapsed
 -- 0.0320448 seconds elapsed
 -- 0.000297753 seconds elapsed
 -- 0.000261815 seconds elapsed
 -- 0.000250758 seconds elapsed
 -- 0.0002688 seconds elapsed
 -- 0.000244995 seconds elapsed
 -- 0.000272599 seconds elapsed
 -- 0.000300651 seconds elapsed
 -- 0.000313194 seconds elapsed
 -- 0.000272982 seconds elapsed
 -- 0.000270375 seconds elapsed
 -- 0.000255594 seconds elapsed
 -- 0.000266623 seconds elapsed
 -- 0.000248207 seconds elapsed
 -- 0.000248463 seconds elapsed
 -- 0.000255928 seconds elapsed
 -- 0.000247469 seconds elapsed
 -- 0.000269878 seconds elapsed
 -- 0.000271385 seconds elapsed
 -- 0.000302082 seconds elapsed
 -- 0.000269582 seconds elapsed
 -- 0.000253967 seconds elapsed
 -- 0.000247751 seconds elapsed
 -- 0.000239569 seconds elapsed
 -- 0.000246143 seconds elapsed
 -- 0.000238794 seconds elapsed
 -- 0.00024642 seconds elapsed
(number Of blocks, 26)
1
1
1
1
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
1
1
1
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :

For the programmer

The object carpetDet is a method function.