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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)
 -- 0.0343012 seconds elapsed
 -- 0.0141063 seconds elapsed
 -- 0.000249395 seconds elapsed
 -- 0.00011306 seconds elapsed
 -- 0.000110946 seconds elapsed
 -- 0.000138608 seconds elapsed
 -- 0.00011778 seconds elapsed
 -- 0.000124191 seconds elapsed
 -- 0.000153236 seconds elapsed
 -- 0.000143939 seconds elapsed
 -- 0.00012858 seconds elapsed
 -- 0.000120655 seconds elapsed
 -- 0.000109675 seconds elapsed
 -- 0.000114925 seconds elapsed
 -- 0.00012337 seconds elapsed
 -- 0.00010781 seconds elapsed
 -- 0.00012293 seconds elapsed
 -- 0.000123069 seconds elapsed
 -- 0.000226984 seconds elapsed
 -- 0.000153847 seconds elapsed
 -- 0.000131264 seconds elapsed
 -- 0.000120364 seconds elapsed
 -- 0.000114043 seconds elapsed
 -- 0.000116577 seconds elapsed
 -- 0.000113592 seconds elapsed
 -- 0.000114042 seconds elapsed
 -- 0.000121978 seconds elapsed
 -- 0.000112319 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.