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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)
 -- .00947205s elapsed
 -- .0142001s elapsed
 -- .000290643s elapsed
 -- .000321523s elapsed
 -- .000289842s elapsed
 -- .000249043s elapsed
 -- .000291802s elapsed
 -- .000260523s elapsed
 -- .000322403s elapsed
 -- .000294202s elapsed
 -- .000257242s elapsed
 -- .000267722s elapsed
 -- .000317483s elapsed
 -- .000243082s elapsed
 -- .000223042s elapsed
 -- .000245122s elapsed
 -- .000218602s elapsed
 -- .000204722s elapsed
 -- .000232722s elapsed
 -- .000228122s elapsed
 -- .000257762s elapsed
 -- .000225282s elapsed
 -- .000224762s elapsed
 -- .000251882s elapsed
 -- .000221243s elapsed
 -- .000220042s elapsed
 -- .000228642s elapsed
 -- .000217242s 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.