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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)
 -- .00667068s elapsed
 -- .00796701s elapsed
 -- .000176672s elapsed
 -- .000159061s elapsed
 -- .000126522s elapsed
 -- .000124836s elapsed
 -- .0001241s elapsed
 -- .000113265s elapsed
 -- .000138615s elapsed
 -- .000149156s elapsed
 -- .000129996s elapsed
 -- .000120863s elapsed
 -- .000195798s elapsed
 -- .00011402s elapsed
 -- .00010315s elapsed
 -- .000101902s elapsed
 -- .000120942s elapsed
 -- .000099781s elapsed
 -- .000109394s elapsed
 -- .000132459s elapsed
 -- .000137618s elapsed
 -- .000119116s elapsed
 -- .000116128s elapsed
 -- .000102385s elapsed
 -- .000101632s elapsed
 -- .000105524s elapsed
 -- .000129914s elapsed
 -- .000104719s 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.