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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)
 -- 0.00562398 seconds elapsed
 -- 0.012421 seconds elapsed
 -- 0.000182353 seconds elapsed
 -- 0.000119285 seconds elapsed
 -- 0.000107031 seconds elapsed
 -- 0.000126357 seconds elapsed
 -- 0.000106291 seconds elapsed
 -- 0.000114807 seconds elapsed
 -- 0.000134784 seconds elapsed
 -- 0.000150352 seconds elapsed
 -- 0.000121017 seconds elapsed
 -- 0.000117771 seconds elapsed
 -- 0.00011202 seconds elapsed
 -- 0.000131236 seconds elapsed
 -- 0.000113883 seconds elapsed
 -- 0.000107893 seconds elapsed
 -- 0.000114475 seconds elapsed
 -- 0.000112232 seconds elapsed
 -- 0.000126848 seconds elapsed
 -- 0.000124795 seconds elapsed
 -- 0.000126729 seconds elapsed
 -- 0.000123532 seconds elapsed
 -- 0.000136556 seconds elapsed
 -- 0.000114014 seconds elapsed
 -- 0.000106931 seconds elapsed
 -- 0.000108084 seconds elapsed
 -- 0.000110958 seconds elapsed
 -- 0.000108874 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.