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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)
 -- 0.00476851 seconds elapsed
 -- 0.0118734 seconds elapsed
 -- 0.000188891 seconds elapsed
 -- 0.000109545 seconds elapsed
 -- 0.000103085 seconds elapsed
 -- 0.000105866 seconds elapsed
 -- 0.000100926 seconds elapsed
 -- 0.000108516 seconds elapsed
 -- 0.000120394 seconds elapsed
 -- 0.000126174 seconds elapsed
 -- 0.000119144 seconds elapsed
 -- 0.000116386 seconds elapsed
 -- 0.000107405 seconds elapsed
 -- 0.000113066 seconds elapsed
 -- 0.000109345 seconds elapsed
 -- 0.000108305 seconds elapsed
 -- 0.000110595 seconds elapsed
 -- 0.000100144 seconds elapsed
 -- 0.000122775 seconds elapsed
 -- 0.000113614 seconds elapsed
 -- 0.000138173 seconds elapsed
 -- 0.000117235 seconds elapsed
 -- 0.000104176 seconds elapsed
 -- 0.000099446 seconds elapsed
 -- 0.000109917 seconds elapsed
 -- 0.000116245 seconds elapsed
 -- 0.000102327 seconds elapsed
 -- 0.000107895 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.