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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)
 -- 0.0124952 seconds elapsed
 -- 0.0506552 seconds elapsed
 -- 0.000255689 seconds elapsed
 -- 0.000214775 seconds elapsed
 -- 0.000210917 seconds elapsed
 -- 0.000180039 seconds elapsed
 -- 0.000180841 seconds elapsed
 -- 0.000200758 seconds elapsed
 -- 0.000206288 seconds elapsed
 -- 0.000215668 seconds elapsed
 -- 0.000203782 seconds elapsed
 -- 0.000190089 seconds elapsed
 -- 0.00017822 seconds elapsed
 -- 0.000184013 seconds elapsed
 -- 0.000193157 seconds elapsed
 -- 0.000177486 seconds elapsed
 -- 0.000184411 seconds elapsed
 -- 0.000188321 seconds elapsed
 -- 0.000199383 seconds elapsed
 -- 0.000193108 seconds elapsed
 -- 0.00020689 seconds elapsed
 -- 0.000217229 seconds elapsed
 -- 0.000192598 seconds elapsed
 -- 0.000182765 seconds elapsed
 -- 0.000182972 seconds elapsed
 -- 0.000180637 seconds elapsed
 -- 0.000174213 seconds elapsed
 -- 0.000181862 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.