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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)
 -- 0.00550821 seconds elapsed
 -- 0.0639629 seconds elapsed
 -- 0.000204188 seconds elapsed
 -- 0.00017073 seconds elapsed
 -- 0.00016221 seconds elapsed
 -- 0.000116759 seconds elapsed
 -- 0.000118659 seconds elapsed
 -- 0.0001292 seconds elapsed
 -- 0.000139779 seconds elapsed
 -- 0.000151609 seconds elapsed
 -- 0.00013575 seconds elapsed
 -- 0.000124149 seconds elapsed
 -- 0.000126819 seconds elapsed
 -- 0.00012943 seconds elapsed
 -- 0.000153599 seconds elapsed
 -- 0.000124279 seconds elapsed
 -- 0.000122469 seconds elapsed
 -- 0.00011831 seconds elapsed
 -- 0.00013802 seconds elapsed
 -- 0.000129459 seconds elapsed
 -- 0.000141129 seconds elapsed
 -- 0.000130419 seconds elapsed
 -- 0.000175189 seconds elapsed
 -- 0.000120569 seconds elapsed
 -- 0.000116679 seconds elapsed
 -- 0.000116239 seconds elapsed
 -- 0.000158548 seconds elapsed
 -- 0.000139079 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.