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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)
 -- .00513013s elapsed
 -- .0075771s elapsed
(number Of blocks, 26)
 -- .000131043s elapsed
1
 -- .000106844s elapsed
1
 -- .000100224s elapsed
1
 -- .000093683s elapsed
1
 -- .000094102s elapsed
2
 -- .000108246s elapsed
 2
2
 -- .000111495s elapsed
 2
2
 -- .000135587s elapsed
 2
2 3
 -- .000111986s elapsed
 2
2 3
 -- .000098474s elapsed
 2
2 3
 -- .00009214s elapsed
 2
2
 -- .000092889s elapsed
 2
2
 -- .000089028s elapsed
2
 -- .000082893s elapsed
2
 -- .000089765s elapsed
 2
2
 -- .000088276s elapsed
 2
2
 -- .00009909s elapsed
 2
2 3
 -- .000105288s elapsed
 2
2 3
 -- .000105813s elapsed
 2
2 3
 -- .000102746s elapsed
 2
2
 -- .000098876s elapsed
 2
2
 -- .000088648s elapsed
2
 -- .000084098s elapsed
1
 -- .000089272s elapsed
1
 -- .000091096s elapsed
1
 -- .000085247s 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.