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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)
 -- 0.00862138 seconds elapsed
 -- 0.0178359 seconds elapsed
 -- 0.000399327 seconds elapsed
 -- 0.000252446 seconds elapsed
 -- 0.0002442 seconds elapsed
 -- 0.00022563 seconds elapsed
 -- 0.000214492 seconds elapsed
 -- 0.000240068 seconds elapsed
 -- 0.000224775 seconds elapsed
 -- 0.000242256 seconds elapsed
 -- 0.000201888 seconds elapsed
 -- 0.000205022 seconds elapsed
 -- 0.000206859 seconds elapsed
 -- 0.000249488 seconds elapsed
 -- 0.000195448 seconds elapsed
 -- 0.000163774 seconds elapsed
 -- 0.000180255 seconds elapsed
 -- 0.000178404 seconds elapsed
 -- 0.000187904 seconds elapsed
 -- 0.000216205 seconds elapsed
 -- 0.000210702 seconds elapsed
 -- 0.000189404 seconds elapsed
 -- 0.00018197 seconds elapsed
 -- 0.000171255 seconds elapsed
 -- 0.000183811 seconds elapsed
 -- 0.000185406 seconds elapsed
 -- 0.000197755 seconds elapsed
 -- 0.000173974 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.