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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)
 -- .010314s elapsed
 -- .0154724s elapsed
 -- .000332683s elapsed
 -- .000455365s elapsed
 -- .000355523s elapsed
 -- .000341444s elapsed
 -- .000343724s elapsed
 -- .000367244s elapsed
 -- .000336523s elapsed
 -- .000339443s elapsed
 -- .000300003s elapsed
 -- .000322443s elapsed
 -- .000331523s elapsed
 -- .000306403s elapsed
 -- .000295363s elapsed
 -- .000315523s elapsed
 -- .000273763s elapsed
 -- .000268283s elapsed
 -- .000317603s elapsed
 -- .000279883s elapsed
 -- .000308883s elapsed
 -- .000301204s elapsed
 -- .000298963s elapsed
 -- .000312923s elapsed
 -- .000271763s elapsed
 -- .000313163s elapsed
 -- .000267042s elapsed
 -- .000268322s 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.