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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)
 -- .00662637s elapsed
 -- .00807365s elapsed
 -- .000167001s elapsed
 -- .00013597s elapsed
 -- .000113301s elapsed
 -- .000111549s elapsed
 -- .00010422s elapsed
 -- .000121521s elapsed
 -- .000136051s elapsed
 -- .000138021s elapsed
 -- .000122101s elapsed
 -- .000125311s elapsed
 -- .000143081s elapsed
 -- .00011023s elapsed
 -- .000120301s elapsed
 -- .00010052s elapsed
 -- .00010084s elapsed
 -- .00009863s elapsed
 -- .000107749s elapsed
 -- .000104961s elapsed
 -- .000131601s elapsed
 -- .00010692s elapsed
 -- .000110571s elapsed
 -- .000099941s elapsed
 -- .000099499s elapsed
 -- .00009725s elapsed
 -- .000106521s elapsed
 -- .000096041s elapsed
(number Of blocks, 26)
1
1
1
1
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
1
1
1
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.