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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)
 -- 0.00622678 seconds elapsed
 -- 0.0255455 seconds elapsed
 -- 0.000174427 seconds elapsed
 -- 0.000169459 seconds elapsed
 -- 0.000149709 seconds elapsed
 -- 0.000137088 seconds elapsed
 -- 0.000159713 seconds elapsed
 -- 0.000139732 seconds elapsed
 -- 0.000158411 seconds elapsed
 -- 0.000164921 seconds elapsed
 -- 0.000148076 seconds elapsed
 -- 0.000147321 seconds elapsed
 -- 0.000128826 seconds elapsed
 -- 0.00013809 seconds elapsed
 -- 0.00012347 seconds elapsed
 -- 0.000127279 seconds elapsed
 -- 0.000141867 seconds elapsed
 -- 0.000130276 seconds elapsed
 -- 0.000154363 seconds elapsed
 -- 0.000139846 seconds elapsed
 -- 0.000150931 seconds elapsed
 -- 0.000140315 seconds elapsed
 -- 0.000156573 seconds elapsed
 -- 0.000128498 seconds elapsed
 -- 0.000136769 seconds elapsed
 -- 0.000132866 seconds elapsed
 -- 0.000131493 seconds elapsed
 -- 0.000126147 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.