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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)
 -- .00820832s elapsed
 -- .0124038s elapsed
 -- .00021789s elapsed
 -- .000162055s elapsed
 -- .000160322s elapsed
 -- .000150543s elapsed
 -- .000172074s elapsed
 -- .000163678s elapsed
 -- .000176372s elapsed
 -- .000179949s elapsed
 -- .000153168s elapsed
 -- .000159259s elapsed
 -- .000221146s elapsed
 -- .000133271s elapsed
 -- .000125115s elapsed
 -- .000127319s elapsed
 -- .000128732s elapsed
 -- .000124994s elapsed
 -- .000136086s elapsed
 -- .000139482s elapsed
 -- .000147967s elapsed
 -- .000139182s elapsed
 -- .000135355s elapsed
 -- .000148069s elapsed
 -- .000131056s elapsed
 -- .0001329s elapsed
 -- .000143399s elapsed
 -- .000138601s 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.