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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)
 -- 0.0102595 seconds elapsed
 -- 0.0226507 seconds elapsed
 -- 0.000376272 seconds elapsed
 -- 0.000221895 seconds elapsed
 -- 0.000193461 seconds elapsed
 -- 0.000196036 seconds elapsed
 -- 0.000201345 seconds elapsed
 -- 0.000208338 seconds elapsed
 -- 0.00025199 seconds elapsed
 -- 0.000266809 seconds elapsed
 -- 0.000223106 seconds elapsed
 -- 0.000221594 seconds elapsed
 -- 0.000217627 seconds elapsed
 -- 0.000210453 seconds elapsed
 -- 0.000207878 seconds elapsed
 -- 0.000201696 seconds elapsed
 -- 0.000196386 seconds elapsed
 -- 0.000194313 seconds elapsed
 -- 0.000220593 seconds elapsed
 -- 0.000233816 seconds elapsed
 -- 0.000270405 seconds elapsed
 -- 0.000229508 seconds elapsed
 -- 0.000225722 seconds elapsed
 -- 0.000242964 seconds elapsed
 -- 0.000228396 seconds elapsed
 -- 0.000226773 seconds elapsed
 -- 0.000239968 seconds elapsed
 -- 0.00019287 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.