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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)
 -- .00690193s elapsed
 -- .00834807s elapsed
 -- .00019344s elapsed
 -- .000161949s elapsed
 -- .000154137s elapsed
 -- .000119052s elapsed
 -- .000131441s elapsed
 -- .000149506s elapsed
 -- .000152868s elapsed
 -- .000160618s elapsed
 -- .000131137s elapsed
 -- .000127263s elapsed
 -- .000228678s elapsed
 -- .00014344s elapsed
 -- .000109986s elapsed
 -- .00011606s elapsed
 -- .000132628s elapsed
 -- .000106033s elapsed
 -- .000115402s elapsed
 -- .000120067s elapsed
 -- .000120245s elapsed
 -- .000143006s elapsed
 -- .000120361s elapsed
 -- .000123201s elapsed
 -- .00010723s elapsed
 -- .000112027s elapsed
 -- .000124452s elapsed
 -- .000109479s 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.