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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)
 -- 0.0403479 seconds elapsed
 -- 0.0473164 seconds elapsed
 -- 0.000480404 seconds elapsed
 -- 0.0003838 seconds elapsed
 -- 0.000259348 seconds elapsed
 -- 0.000264029 seconds elapsed
 -- 0.000247737 seconds elapsed
 -- 0.000245669 seconds elapsed
 -- 0.000305602 seconds elapsed
 -- 0.000303917 seconds elapsed
 -- 0.000274013 seconds elapsed
 -- 0.000258736 seconds elapsed
 -- 0.000247446 seconds elapsed
 -- 0.000249294 seconds elapsed
 -- 0.00023954 seconds elapsed
 -- 0.000404688 seconds elapsed
 -- 0.000253951 seconds elapsed
 -- 0.000229688 seconds elapsed
 -- 0.000254854 seconds elapsed
 -- 0.00025973 seconds elapsed
 -- 0.000295919 seconds elapsed
 -- 0.000267492 seconds elapsed
 -- 0.000248709 seconds elapsed
 -- 0.000225128 seconds elapsed
 -- 0.000227402 seconds elapsed
 -- 0.000236247 seconds elapsed
 -- 0.00025986 seconds elapsed
 -- 0.000233132 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.