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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)
 -- 0.00799274 seconds elapsed
 -- 0.040595 seconds elapsed
 -- 0.000207761 seconds elapsed
 -- 0.000143189 seconds elapsed
 -- 0.000124984 seconds elapsed
 -- 0.000125065 seconds elapsed
 -- 0.000124375 seconds elapsed
 -- 0.000136005 seconds elapsed
 -- 0.000161324 seconds elapsed
 -- 0.000177604 seconds elapsed
 -- 0.000141987 seconds elapsed
 -- 0.000130375 seconds elapsed
 -- 0.000122271 seconds elapsed
 -- 0.000126056 seconds elapsed
 -- 0.000144532 seconds elapsed
 -- 0.000148087 seconds elapsed
 -- 0.000141315 seconds elapsed
 -- 0.000137718 seconds elapsed
 -- 0.000135625 seconds elapsed
 -- 0.000135105 seconds elapsed
 -- 0.000142257 seconds elapsed
 -- 0.000182944 seconds elapsed
 -- 0.000136146 seconds elapsed
 -- 0.000120717 seconds elapsed
 -- 0.000139632 seconds elapsed
 -- 0.000123241 seconds elapsed
 -- 0.000126298 seconds elapsed
 -- 0.000124755 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.