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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)
 -- 0.00649638 seconds elapsed
 -- 0.0490418 seconds elapsed
 -- 0.000224109 seconds elapsed
 -- 0.000149804 seconds elapsed
 -- 0.000119729 seconds elapsed
 -- 0.000127754 seconds elapsed
 -- 0.00012432 seconds elapsed
 -- 0.000200935 seconds elapsed
 -- 0.000200056 seconds elapsed
 -- 0.00015884 seconds elapsed
 -- 0.000148378 seconds elapsed
 -- 0.000124149 seconds elapsed
 -- 0.000126801 seconds elapsed
 -- 0.00011986 seconds elapsed
 -- 0.000132034 seconds elapsed
 -- 0.000270697 seconds elapsed
 -- 0.000217828 seconds elapsed
 -- 0.000163642 seconds elapsed
 -- 0.000159826 seconds elapsed
 -- 0.000330724 seconds elapsed
 -- 0.000216052 seconds elapsed
 -- 0.000157788 seconds elapsed
 -- 0.000137435 seconds elapsed
 -- 0.000120967 seconds elapsed
 -- 0.000128124 seconds elapsed
 -- 0.000127779 seconds elapsed
 -- 0.000126534 seconds elapsed
 -- 0.000126339 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.