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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)
 -- 0.00527084 seconds elapsed
 -- 0.0132294 seconds elapsed
 -- 0.000175591 seconds elapsed
 -- 0.000128982 seconds elapsed
 -- 0.000128933 seconds elapsed
 -- 0.000113113 seconds elapsed
 -- 0.000114745 seconds elapsed
 -- 0.00011207 seconds elapsed
 -- 0.000132159 seconds elapsed
 -- 0.000141577 seconds elapsed
 -- 0.000125004 seconds elapsed
 -- 0.000121888 seconds elapsed
 -- 0.000144322 seconds elapsed
 -- 0.00011134 seconds elapsed
 -- 0.000107883 seconds elapsed
 -- 0.000109276 seconds elapsed
 -- 0.00011165 seconds elapsed
 -- 0.000113894 seconds elapsed
 -- 0.000123591 seconds elapsed
 -- 0.000123411 seconds elapsed
 -- 0.00013811 seconds elapsed
 -- 0.000120045 seconds elapsed
 -- 0.000137569 seconds elapsed
 -- 0.000105479 seconds elapsed
 -- 0.000121359 seconds elapsed
 -- 0.000124975 seconds elapsed
 -- 0.000112772 seconds elapsed
 -- 0.00010102 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.