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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)
 -- 0.00530363 seconds elapsed
 -- 0.0224668 seconds elapsed
 -- 0.000310705 seconds elapsed
 -- 0.000130436 seconds elapsed
 -- 0.000109436 seconds elapsed
 -- 0.00010623 seconds elapsed
 -- 0.000108625 seconds elapsed
 -- 0.000106911 seconds elapsed
 -- 0.000126198 seconds elapsed
 -- 0.000117541 seconds elapsed
 -- 0.000115677 seconds elapsed
 -- 8.2415e-05 seconds elapsed
 -- 6.9371e-05 seconds elapsed
 -- 7.2757e-05 seconds elapsed
 -- 7.2397e-05 seconds elapsed
 -- 6.959e-05 seconds elapsed
 -- 7.7996e-05 seconds elapsed
 -- 8.1433e-05 seconds elapsed
 -- 9.0209e-05 seconds elapsed
 -- 0.000114015 seconds elapsed
 -- 0.000141306 seconds elapsed
 -- 0.000108755 seconds elapsed
 -- 0.000103364 seconds elapsed
 -- 8.2105e-05 seconds elapsed
 -- 6.2197e-05 seconds elapsed
 -- 7.1114e-05 seconds elapsed
 -- 6.372e-05 seconds elapsed
 -- 6.1365e-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.