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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)
 -- 0.00561823 seconds elapsed
 -- 0.0173088 seconds elapsed
 -- 0.000155258 seconds elapsed
 -- 0.000120313 seconds elapsed
 -- 0.000114285 seconds elapsed
 -- 0.000115734 seconds elapsed
 -- 0.000115755 seconds elapsed
 -- 0.000124049 seconds elapsed
 -- 0.000130105 seconds elapsed
 -- 0.000140347 seconds elapsed
 -- 0.000119939 seconds elapsed
 -- 0.000117539 seconds elapsed
 -- 0.000118091 seconds elapsed
 -- 0.000116792 seconds elapsed
 -- 0.000110151 seconds elapsed
 -- 0.000111777 seconds elapsed
 -- 0.000121175 seconds elapsed
 -- 0.000111177 seconds elapsed
 -- 0.000119788 seconds elapsed
 -- 0.000123175 seconds elapsed
 -- 0.000132489 seconds elapsed
 -- 0.00012133 seconds elapsed
 -- 0.000126223 seconds elapsed
 -- 0.000104919 seconds elapsed
 -- 0.000107164 seconds elapsed
 -- 0.000122289 seconds elapsed
 -- 0.000103723 seconds elapsed
 -- 0.000098293 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.