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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)
 -- 0.00552164 seconds elapsed
 -- 0.0271666 seconds elapsed
 -- 0.000185691 seconds elapsed
 -- 0.000116883 seconds elapsed
 -- 0.000101686 seconds elapsed
 -- 9.6685e-05 seconds elapsed
 -- 0.000109442 seconds elapsed
 -- 0.00010715 seconds elapsed
 -- 0.000114487 seconds elapsed
 -- 0.000131772 seconds elapsed
 -- 0.000116977 seconds elapsed
 -- 0.000104633 seconds elapsed
 -- 9.7349e-05 seconds elapsed
 -- 9.8578e-05 seconds elapsed
 -- 8.7691e-05 seconds elapsed
 -- 8.938e-05 seconds elapsed
 -- 9.674e-05 seconds elapsed
 -- 9.1038e-05 seconds elapsed
 -- 0.000100287 seconds elapsed
 -- 0.000120838 seconds elapsed
 -- 0.000123328 seconds elapsed
 -- 0.000108981 seconds elapsed
 -- 9.7127e-05 seconds elapsed
 -- 9.6623e-05 seconds elapsed
 -- 8.6481e-05 seconds elapsed
 -- 0.000101466 seconds elapsed
 -- 0.000107879 seconds elapsed
 -- 9.6442e-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.