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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)
 -- 0.00816461 seconds elapsed
 -- 0.0390923 seconds elapsed
 -- 0.00026172 seconds elapsed
 -- 0.000296521 seconds elapsed
 -- 0.0002486 seconds elapsed
 -- 0.000246241 seconds elapsed
 -- 0.000260801 seconds elapsed
 -- 0.00025052 seconds elapsed
 -- 0.00030796 seconds elapsed
 -- 0.000298761 seconds elapsed
 -- 0.00032376 seconds elapsed
 -- 0.000266121 seconds elapsed
 -- 0.00024712 seconds elapsed
 -- 0.000269361 seconds elapsed
 -- 0.00024232 seconds elapsed
 -- 0.000279641 seconds elapsed
 -- 0.00026364 seconds elapsed
 -- 0.000237441 seconds elapsed
 -- 0.00024444 seconds elapsed
 -- 0.000259481 seconds elapsed
 -- 0.000266201 seconds elapsed
 -- 0.00029024 seconds elapsed
 -- 0.00026492 seconds elapsed
 -- 0.000230601 seconds elapsed
 -- 0.000263121 seconds elapsed
 -- 0.00024692 seconds elapsed
 -- 0.000271521 seconds elapsed
 -- 0.000223081 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.