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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)
 -- 0.00629825 seconds elapsed
 -- 0.0610931 seconds elapsed
 -- 0.00024067 seconds elapsed
 -- 0.000125454 seconds elapsed
 -- 0.000127669 seconds elapsed
 -- 0.000123782 seconds elapsed
 -- 0.000118752 seconds elapsed
 -- 0.000120605 seconds elapsed
 -- 0.000147596 seconds elapsed
 -- 0.000162444 seconds elapsed
 -- 0.000128199 seconds elapsed
 -- 0.000129542 seconds elapsed
 -- 0.000119453 seconds elapsed
 -- 0.000117891 seconds elapsed
 -- 0.000109766 seconds elapsed
 -- 0.000124563 seconds elapsed
 -- 0.000118761 seconds elapsed
 -- 0.000127399 seconds elapsed
 -- 0.000127288 seconds elapsed
 -- 0.000131496 seconds elapsed
 -- 0.000131165 seconds elapsed
 -- 0.000132477 seconds elapsed
 -- 0.000113623 seconds elapsed
 -- 0.000112981 seconds elapsed
 -- 0.000118531 seconds elapsed
 -- 0.000114754 seconds elapsed
 -- 0.000124112 seconds elapsed
 -- 0.000115596 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.