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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)
 -- 0.00822912 seconds elapsed
 -- 0.0493423 seconds elapsed
 -- 0.000174391 seconds elapsed
 -- 0.000123521 seconds elapsed
 -- 0.000118431 seconds elapsed
 -- 0.000134231 seconds elapsed
 -- 0.000114881 seconds elapsed
 -- 0.000123751 seconds elapsed
 -- 0.000137191 seconds elapsed
 -- 0.000138092 seconds elapsed
 -- 0.000140311 seconds elapsed
 -- 0.000129022 seconds elapsed
 -- 0.000124721 seconds elapsed
 -- 0.000157281 seconds elapsed
 -- 0.000126071 seconds elapsed
 -- 0.000142591 seconds elapsed
 -- 0.00012697 seconds elapsed
 -- 0.000129651 seconds elapsed
 -- 0.000147121 seconds elapsed
 -- 0.000129881 seconds elapsed
 -- 0.000141121 seconds elapsed
 -- 0.000138761 seconds elapsed
 -- 0.00013053 seconds elapsed
 -- 0.000122949 seconds elapsed
 -- 0.000113121 seconds elapsed
 -- 0.000126871 seconds elapsed
 -- 0.00013267 seconds elapsed
 -- 0.000121481 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.