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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)
 -- 0.0280747 seconds elapsed
 -- 0.0666178 seconds elapsed
 -- 0.000228247 seconds elapsed
 -- 0.000128561 seconds elapsed
 -- 0.000135194 seconds elapsed
 -- 0.000115425 seconds elapsed
 -- 0.000107522 seconds elapsed
 -- 0.000112962 seconds elapsed
 -- 0.00013918 seconds elapsed
 -- 0.000142977 seconds elapsed
 -- 0.000161303 seconds elapsed
 -- 0.000159588 seconds elapsed
 -- 0.000139942 seconds elapsed
 -- 0.000110538 seconds elapsed
 -- 0.000103773 seconds elapsed
 -- 0.000120686 seconds elapsed
 -- 0.000107441 seconds elapsed
 -- 0.000135934 seconds elapsed
 -- 0.000110888 seconds elapsed
 -- 0.000120025 seconds elapsed
 -- 0.000118442 seconds elapsed
 -- 0.00011193 seconds elapsed
 -- 0.000102952 seconds elapsed
 -- 0.000100178 seconds elapsed
 -- 0.000093816 seconds elapsed
 -- 0.00010121 seconds elapsed
 -- 0.000101289 seconds elapsed
 -- 0.000097944 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.