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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)
 -- 0.00600169 seconds elapsed
 -- 0.0259618 seconds elapsed
 -- 0.000153231 seconds elapsed
 -- 0.000119432 seconds elapsed
 -- 0.000111613 seconds elapsed
 -- 0.000120012 seconds elapsed
 -- 0.000107505 seconds elapsed
 -- 0.000116604 seconds elapsed
 -- 0.000119914 seconds elapsed
 -- 0.000139198 seconds elapsed
 -- 0.000118988 seconds elapsed
 -- 0.000109329 seconds elapsed
 -- 0.000115348 seconds elapsed
 -- 0.000113887 seconds elapsed
 -- 9.8903e-05 seconds elapsed
 -- 9.5267e-05 seconds elapsed
 -- 0.000104171 seconds elapsed
 -- 0.000111174 seconds elapsed
 -- 0.000111479 seconds elapsed
 -- 0.000109306 seconds elapsed
 -- 0.00011439 seconds elapsed
 -- 0.000136131 seconds elapsed
 -- 0.000107705 seconds elapsed
 -- 0.000103646 seconds elapsed
 -- 0.000102799 seconds elapsed
 -- 0.000103107 seconds elapsed
 -- 0.000105544 seconds elapsed
 -- 9.3562e-05 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.