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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)
 -- .00827629s elapsed
 -- .0108393s elapsed
 -- .000172039s elapsed
 -- .000147052s elapsed
 -- .000126472s elapsed
 -- .000121772s elapsed
 -- .000124991s elapsed
 -- .000123631s elapsed
 -- .00014612s elapsed
 -- .00015329s elapsed
 -- .000136242s elapsed
 -- .000277805s elapsed
 -- .000113621s elapsed
 -- .000112501s elapsed
 -- .000122591s elapsed
 -- .000108002s elapsed
 -- .000111253s elapsed
 -- .000109886s elapsed
 -- .000117817s elapsed
 -- .000119357s elapsed
 -- .000131809s elapsed
 -- .000126368s elapsed
 -- .000121733s elapsed
 -- .000110116s elapsed
 -- .00011087s elapsed
 -- .000115629s elapsed
 -- .000113831s elapsed
 -- .000110373s 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.