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K3Carpets :: carpetDet

carpetDet -- compute the determinant of the crucial constant strand of a carpet X(a,b)

Synopsis

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)
 -- 0.00780311 seconds elapsed
 -- 0.0135341 seconds elapsed
 -- 0.000184904 seconds elapsed
 -- 0.000158166 seconds elapsed
 -- 0.000146052 seconds elapsed
 -- 0.000149045 seconds elapsed
 -- 0.000146424 seconds elapsed
 -- 0.000147669 seconds elapsed
 -- 0.000172966 seconds elapsed
 -- 0.000185707 seconds elapsed
 -- 0.000170533 seconds elapsed
 -- 0.000167541 seconds elapsed
 -- 0.000148438 seconds elapsed
 -- 0.000146362 seconds elapsed
 -- 0.000149001 seconds elapsed
 -- 0.000139825 seconds elapsed
 -- 0.000147378 seconds elapsed
 -- 0.00014501 seconds elapsed
 -- 0.000154679 seconds elapsed
 -- 0.000164946 seconds elapsed
 -- 0.000168801 seconds elapsed
 -- 0.000159143 seconds elapsed
 -- 0.000153984 seconds elapsed
 -- 0.000149571 seconds elapsed
 -- 0.000142746 seconds elapsed
 -- 0.000160551 seconds elapsed
 -- 0.000156449 seconds elapsed
 -- 0.000160362 seconds 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 :

For the programmer

The object carpetDet is a method function.