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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)
 -- .00990385s elapsed
 -- .0171941s elapsed
(number Of blocks, 26)
 -- .000266937s elapsed
1
 -- .000183662s elapsed
1
 -- .000169465s elapsed
1
 -- .00018223s elapsed
1
 -- .000165078s elapsed
2
 -- .000199892s elapsed
 2
2
 -- .000201105s elapsed
 2
2
 -- .00020963s elapsed
 2
2 3
 -- .000184994s elapsed
 2
2 3
 -- .00021995s elapsed
 2
2 3
 -- .000211784s elapsed
 2
2
 -- .000184985s elapsed
 2
2
 -- .000182891s elapsed
2
 -- .00019328s elapsed
2
 -- .000210372s elapsed
 2
2
 -- .000252711s elapsed
 2
2
 -- .00023612s elapsed
 2
2 3
 -- .000291994s elapsed
 2
2 3
 -- .000224478s elapsed
 2
2 3
 -- .000216133s elapsed
 2
2
 -- .000218637s elapsed
 2
2
 -- .000185706s elapsed
2
 -- .000177119s elapsed
1
 -- .000169566s elapsed
1
 -- .000179705s elapsed
1
 -- .00018271s 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.