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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)
 -- 0.006942 seconds elapsed
 -- 0.0358637 seconds elapsed
 -- 0.000167932 seconds elapsed
 -- 0.000165516 seconds elapsed
 -- 0.000160715 seconds elapsed
 -- 0.000169802 seconds elapsed
 -- 0.000153426 seconds elapsed
 -- 0.000160297 seconds elapsed
 -- 0.000193367 seconds elapsed
 -- 0.000182788 seconds elapsed
 -- 0.000177795 seconds elapsed
 -- 0.000158844 seconds elapsed
 -- 0.000159851 seconds elapsed
 -- 0.000166623 seconds elapsed
 -- 0.000162282 seconds elapsed
 -- 0.000156003 seconds elapsed
 -- 0.000160999 seconds elapsed
 -- 0.000154552 seconds elapsed
 -- 0.000170273 seconds elapsed
 -- 0.000168837 seconds elapsed
 -- 0.000179622 seconds elapsed
 -- 0.000164762 seconds elapsed
 -- 0.000157292 seconds elapsed
 -- 0.00015471 seconds elapsed
 -- 0.000157335 seconds elapsed
 -- 0.000160337 seconds elapsed
 -- 0.000156772 seconds elapsed
 -- 0.000155351 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.