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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)
 -- 0.00658777 seconds elapsed
 -- 0.0821736 seconds elapsed
 -- 0.000257 seconds elapsed
 -- 0.000286937 seconds elapsed
 -- 0.000129332 seconds elapsed
 -- 0.000120416 seconds elapsed
 -- 0.000118702 seconds elapsed
 -- 0.000130164 seconds elapsed
 -- 0.000159759 seconds elapsed
 -- 0.000148999 seconds elapsed
 -- 0.000143187 seconds elapsed
 -- 0.000126377 seconds elapsed
 -- 0.000117119 seconds elapsed
 -- 0.000128511 seconds elapsed
 -- 0.00011756 seconds elapsed
 -- 0.000112381 seconds elapsed
 -- 0.000125244 seconds elapsed
 -- 0.00011778 seconds elapsed
 -- 0.000125816 seconds elapsed
 -- 0.000135564 seconds elapsed
 -- 0.000148108 seconds elapsed
 -- 0.000132689 seconds elapsed
 -- 0.000127189 seconds elapsed
 -- 0.000115246 seconds elapsed
 -- 0.00754696 seconds elapsed
 -- 0.0001173 seconds elapsed
 -- 0.000112339 seconds elapsed
 -- 0.000110337 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.