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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)
 -- .0050474s elapsed
 -- .00782448s elapsed
(number Of blocks, 26)
 -- .000179349s elapsed
1
 -- .000095719s elapsed
1
 -- .00009107s elapsed
1
 -- .000092809s elapsed
1
 -- .00008679s elapsed
2
 -- .00009649s elapsed
 2
2
 -- .00010514s elapsed
 2
2
 -- .000102709s elapsed
 2
2 3
 -- .00009832s elapsed
 2
2 3
 -- .00010384s elapsed
 2
2 3
 -- .000099909s elapsed
 2
2
 -- .000095519s elapsed
 2
2
 -- .000081299s elapsed
2
 -- .00008182s elapsed
2
 -- .00008835s elapsed
 2
2
 -- .000088399s elapsed
 2
2
 -- .000101929s elapsed
 2
2 3
 -- .00009469s elapsed
 2
2 3
 -- .00009738s elapsed
 2
2 3
 -- .00010158s elapsed
 2
2
 -- .000097659s elapsed
 2
2
 -- .000080679s elapsed
2
 -- .000084239s elapsed
1
 -- .000086899s elapsed
1
 -- .00008442s elapsed
1
 -- .00007908s elapsed
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.