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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)
 -- .00618851s elapsed
 -- .00903787s elapsed
(number Of blocks, 26)
 -- .000173238s elapsed
1
 -- .000141088s elapsed
1
 -- .000131554s elapsed
1
 -- .000123959s elapsed
1
 -- .00011637s elapsed
2
 -- .000127459s elapsed
 2
2
 -- .000133938s elapsed
 2
2
 -- .000146994s elapsed
 2
2 3
 -- .000131747s elapsed
 2
2 3
 -- .000123127s elapsed
 2
2 3
 -- .000112369s elapsed
 2
2
 -- .00010911s elapsed
 2
2
 -- .000105752s elapsed
2
 -- .000105359s elapsed
2
 -- .000108802s elapsed
 2
2
 -- .000103807s elapsed
 2
2
 -- .000140889s elapsed
 2
2 3
 -- .000117531s elapsed
 2
2 3
 -- .000120761s elapsed
 2
2 3
 -- .00011823s elapsed
 2
2
 -- .000112224s elapsed
 2
2
 -- .000101014s elapsed
2
 -- .000100988s elapsed
1
 -- .000105367s elapsed
1
 -- .000103665s elapsed
1
 -- .000104315s 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.