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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)
 -- .00563786s elapsed
 -- .00881714s elapsed
 -- .000182293s elapsed
 -- .000143044s elapsed
 -- .000115823s elapsed
 -- .000104749s elapsed
 -- .000115368s elapsed
 -- .000120974s elapsed
 -- .000136372s elapsed
 -- .000148295s elapsed
 -- .000191793s elapsed
 -- .000116467s elapsed
 -- .000094864s elapsed
 -- .000107641s elapsed
 -- .000090945s elapsed
 -- .000088928s elapsed
 -- .000094372s elapsed
 -- .00010698s elapsed
 -- .000102452s elapsed
 -- .000104288s elapsed
 -- .000115596s elapsed
 -- .00010252s elapsed
 -- .000094961s elapsed
 -- .000088205s elapsed
 -- .000086402s elapsed
 -- .000095165s elapsed
 -- .000090356s elapsed
 -- .00009318s 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.