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carpetDet -- compute the determinant of the crucial constant strand of a carpet X(a,b)

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)
 -- .00676401s elapsed
 -- .00818325s elapsed
 -- .000210896s elapsed
 -- .000155132s elapsed
 -- .000124278s elapsed
 -- .000110408s elapsed
 -- .000130752s elapsed
 -- .000117046s elapsed
 -- .000157479s elapsed
 -- .000148624s elapsed
 -- .000127821s elapsed
 -- .000124172s elapsed
 -- .000218443s elapsed
 -- .000121961s elapsed
 -- .000106493s elapsed
 -- .000116399s elapsed
 -- .000103211s elapsed
 -- .000099384s elapsed
 -- .0001151s elapsed
 -- .000116072s elapsed
 -- .00011817s elapsed
 -- .000126266s elapsed
 -- .00011368s elapsed
 -- .000104342s elapsed
 -- .000113998s elapsed
 -- .000099556s elapsed
 -- .000103113s elapsed
 -- .000105188s 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:

  • carpetDet(ZZ,ZZ)

For the programmer

The object carpetDet is a method function.


The source of this document is in K3Carpets.m2:1335:0.