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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)
 -- .00674182s elapsed
 -- .0122451s elapsed
(number Of blocks, 26)
 -- .00328788s elapsed
1
 -- .000132742s elapsed
1
 -- .000137531s elapsed
1
 -- .000148821s elapsed
1
 -- .000152322s elapsed
2
 -- .000149162s elapsed
 2
2
 -- .000146973s elapsed
 2
2
 -- .000179323s elapsed
 2
2 3
 -- .000204022s elapsed
 2
2 3
 -- .000145502s elapsed
 2
2 3
 -- .000145032s elapsed
 2
2
 -- .000145491s elapsed
 2
2
 -- .000153051s elapsed
2
 -- .000125891s elapsed
2
 -- .000141962s elapsed
 2
2
 -- .000134542s elapsed
 2
2
 -- .000162002s elapsed
 2
2 3
 -- .00317692s elapsed
 2
2 3
 -- .000201612s elapsed
 2
2 3
 -- .000141402s elapsed
 2
2
 -- .000137811s elapsed
 2
2
 -- .000126741s elapsed
2
 -- .000123062s elapsed
1
 -- .000128762s elapsed
1
 -- .00012811s elapsed
1
 -- .000144842s 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 /build/macaulay2-0a7Vst/macaulay2-1.26.06+ds/M2/Macaulay2/packages/K3Carpets.m2:1335:0.