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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)
 -- .0110352s elapsed
 -- .0298849s elapsed
(number Of blocks, 26)
 -- .00025462s elapsed
1
 -- .000173147s elapsed
1
 -- .000155433s elapsed
1
 -- .000153529s elapsed
1
 -- .000151887s elapsed
2
 -- .000181271s elapsed
 2
2
 -- .0731627s elapsed
 2
2
 -- .000210407s elapsed
 2
2 3
 -- .000428368s elapsed
 2
2 3
 -- .000168076s elapsed
 2
2 3
 -- .000156575s elapsed
 2
2
 -- .000184418s elapsed
 2
2
 -- .000173187s elapsed
2
 -- .000167456s elapsed
2
 -- .000172907s elapsed
 2
2
 -- .000165382s elapsed
 2
2
 -- .000170702s elapsed
 2
2 3
 -- .000174749s elapsed
 2
2 3
 -- .000217581s elapsed
 2
2 3
 -- .000185389s elapsed
 2
2
 -- .00016968s elapsed
 2
2
 -- .0001642s elapsed
2
 -- .000162837s elapsed
1
 -- .000162196s elapsed
1
 -- .000159642s elapsed
1
 -- .000155724s 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 /__w/M2/M2/macaulay2-1.26.05+ds/M2/Macaulay2/packages/K3Carpets.m2:1335:0.