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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)
 -- .0113392s elapsed
 -- .0234744s elapsed
(number Of blocks, 26)
 -- .000288178s elapsed
1
 -- .000170288s elapsed
1
 -- .000165309s elapsed
1
 -- .000132348s elapsed
1
 -- .000151593s elapsed
2
 -- .000145241s elapsed
 2
2
 -- .0467632s elapsed
 2
2
 -- .000172282s elapsed
 2
2 3
 -- .000133429s elapsed
 2
2 3
 -- .000129542s elapsed
 2
2 3
 -- .000128781s elapsed
 2
2
 -- .000125975s elapsed
 2
2
 -- .000136625s elapsed
2
 -- .000138749s elapsed
2
 -- .000142055s elapsed
 2
2
 -- .00012871s elapsed
 2
2
 -- .000143899s elapsed
 2
2 3
 -- .000140524s elapsed
 2
2 3
 -- .000140683s elapsed
 2
2 3
 -- .00018196s elapsed
 2
2
 -- .000143639s elapsed
 2
2
 -- .0041553s elapsed
2
 -- .000136294s elapsed
1
 -- .000135064s elapsed
1
 -- .000140032s elapsed
1
 -- .00446562s 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 /build/reproducible-path/macaulay2-1.26.05+ds/M2/Macaulay2/packages/K3Carpets.m2:1335:0.