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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)
 -- 0.00654497 seconds elapsed
 -- 0.0329374 seconds elapsed
 -- 0.000161117 seconds elapsed
 -- 0.000265568 seconds elapsed
 -- 0.000115247 seconds elapsed
 -- 0.000143127 seconds elapsed
 -- 0.000116288 seconds elapsed
 -- 0.000126695 seconds elapsed
 -- 0.00014429 seconds elapsed
 -- 0.00014394 seconds elapsed
 -- 0.00012995 seconds elapsed
 -- 0.000118728 seconds elapsed
 -- 0.000113707 seconds elapsed
 -- 0.000137621 seconds elapsed
 -- 0.00011856 seconds elapsed
 -- 0.000114374 seconds elapsed
 -- 0.00012319 seconds elapsed
 -- 0.000116704 seconds elapsed
 -- 0.000124069 seconds elapsed
 -- 0.000125151 seconds elapsed
 -- 0.000133375 seconds elapsed
 -- 0.000128161 seconds elapsed
 -- 0.000118887 seconds elapsed
 -- 0.000114552 seconds elapsed
 -- 0.000117364 seconds elapsed
 -- 0.000119472 seconds elapsed
 -- 0.000121979 seconds elapsed
 -- 0.000161378 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.