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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)
 -- .00628687s elapsed
 -- .0065166s elapsed
(number Of blocks, 26)
 -- .00013581s elapsed
1
 -- .00008156s elapsed
1
 -- .00007722s elapsed
1
 -- .00007843s elapsed
1
 -- .000075181s elapsed
2
 -- .0000843s elapsed
 2
2
 -- .000092701s elapsed
 2
2
 -- .000087901s elapsed
 2
2 3
 -- .000085771s elapsed
 2
2 3
 -- .00007789s elapsed
 2
2 3
 -- .000078511s elapsed
 2
2
 -- .00007523s elapsed
 2
2
 -- .00007321s elapsed
2
 -- .00007364s elapsed
2
 -- .00007276s elapsed
 2
2
 -- .000072091s elapsed
 2
2
 -- .00008417s elapsed
 2
2 3
 -- .00007593s elapsed
 2
2 3
 -- .00007959s elapsed
 2
2 3
 -- .0000807s elapsed
 2
2
 -- .00007833s elapsed
 2
2
 -- .00007048s elapsed
2
 -- .00007042s elapsed
1
 -- .00007981s elapsed
1
 -- .00007369s elapsed
1
 -- .00007357s 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.