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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)
 -- .00739964s elapsed
 -- .0137413s elapsed
(number Of blocks, 26)
 -- .000307923s elapsed
1
 -- .000247843s elapsed
1
 -- .000229163s elapsed
1
 -- .000233723s elapsed
1
 -- .000183722s elapsed
2
 -- .000191082s elapsed
 2
2
 -- .000244242s elapsed
 2
2
 -- .000240242s elapsed
 2
2 3
 -- .000206122s elapsed
 2
2 3
 -- .000201283s elapsed
 2
2 3
 -- .000193322s elapsed
 2
2
 -- .000200842s elapsed
 2
2
 -- .000182282s elapsed
2
 -- .000188322s elapsed
2
 -- .000196083s elapsed
 2
2
 -- .000191322s elapsed
 2
2
 -- .000202882s elapsed
 2
2 3
 -- .000198962s elapsed
 2
2 3
 -- .000218723s elapsed
 2
2 3
 -- .000198442s elapsed
 2
2
 -- .000213442s elapsed
 2
2
 -- .000188402s elapsed
2
 -- .000208882s elapsed
1
 -- .000189282s elapsed
1
 -- .000193242s elapsed
1
 -- .000184402s 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.