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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)
 -- .00599362s elapsed
 -- .00998414s elapsed
(number Of blocks, 26)
 -- .000196164s elapsed
1
 -- .000174334s elapsed
1
 -- .000161807s elapsed
1
 -- .000148032s elapsed
1
 -- .000149376s elapsed
2
 -- .000155935s elapsed
 2
2
 -- .000163903s elapsed
 2
2
 -- .000207396s elapsed
 2
2 3
 -- .000189949s elapsed
 2
2 3
 -- .000167087s elapsed
 2
2 3
 -- .000150784s elapsed
 2
2
 -- .000145792s elapsed
 2
2
 -- .000145s elapsed
2
 -- .000139697s elapsed
2
 -- .000154223s elapsed
 2
2
 -- .000139712s elapsed
 2
2
 -- .000168263s elapsed
 2
2 3
 -- .000162239s elapsed
 2
2 3
 -- .000163663s elapsed
 2
2 3
 -- .000156199s elapsed
 2
2
 -- .000176222s elapsed
 2
2
 -- .000138816s elapsed
2
 -- .000138576s elapsed
1
 -- .000143439s elapsed
1
 -- .000142672s elapsed
1
 -- .000141128s 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.