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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)
 -- .00958535s elapsed
 -- .0116453s elapsed
(number Of blocks, 26)
 -- .000192177s elapsed
1
 -- .000149927s elapsed
1
 -- .000143536s elapsed
1
 -- .000136129s elapsed
1
 -- .000135808s elapsed
2
 -- .000146386s elapsed
 2
2
 -- .00015425s elapsed
 2
2
 -- .000162096s elapsed
 2
2 3
 -- .00015255s elapsed
 2
2 3
 -- .000143602s elapsed
 2
2 3
 -- .000137067s elapsed
 2
2
 -- .000139215s elapsed
 2
2
 -- .00013682s elapsed
2
 -- .000135447s elapsed
2
 -- .000138241s elapsed
 2
2
 -- .000138738s elapsed
 2
2
 -- .000149745s elapsed
 2
2 3
 -- .000149448s elapsed
 2
2 3
 -- .000155546s elapsed
 2
2 3
 -- .000148117s elapsed
 2
2
 -- .000143805s elapsed
 2
2
 -- .000133881s elapsed
2
 -- .000144543s elapsed
1
 -- .000137939s elapsed
1
 -- .000142993s elapsed
1
 -- .000132285s 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.