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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)
 -- 0.0222795 seconds elapsed
 -- 0.0824023 seconds elapsed
 -- 0.000326183 seconds elapsed
 -- 0.000134423 seconds elapsed
 -- 0.000101922 seconds elapsed
 -- 9.7583e-05 seconds elapsed
 -- 0.000112732 seconds elapsed
 -- 0.000136837 seconds elapsed
 -- 0.000133561 seconds elapsed
 -- 0.000127129 seconds elapsed
 -- 0.000115207 seconds elapsed
 -- 0.000112382 seconds elapsed
 -- 0.00010637 seconds elapsed
 -- 0.000118743 seconds elapsed
 -- 0.00010634 seconds elapsed
 -- 0.000103805 seconds elapsed
 -- 0.000110247 seconds elapsed
 -- 0.000100309 seconds elapsed
 -- 0.000109396 seconds elapsed
 -- 0.000109576 seconds elapsed
 -- 0.000113894 seconds elapsed
 -- 0.000122831 seconds elapsed
 -- 0.000104456 seconds elapsed
 -- 9.8785e-05 seconds elapsed
 -- 0.000102683 seconds elapsed
 -- 0.000114204 seconds elapsed
 -- 0.000123913 seconds elapsed
 -- 0.00011188 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.