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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)
 -- 0.0195546 seconds elapsed
 -- 0.023198 seconds elapsed
 -- 0.000347257 seconds elapsed
 -- 0.000328185 seconds elapsed
 -- 0.000314379 seconds elapsed
 -- 0.000310933 seconds elapsed
 -- 0.000285836 seconds elapsed
 -- 0.000318964 seconds elapsed
 -- 0.0003741 seconds elapsed
 -- 0.000364689 seconds elapsed
 -- 0.000345137 seconds elapsed
 -- 0.000342277 seconds elapsed
 -- 0.000320119 seconds elapsed
 -- 0.00033172 seconds elapsed
 -- 0.00896224 seconds elapsed
 -- 0.000283226 seconds elapsed
 -- 0.000285925 seconds elapsed
 -- 0.000269739 seconds elapsed
 -- 0.000279545 seconds elapsed
 -- 0.000287405 seconds elapsed
 -- 0.000292157 seconds elapsed
 -- 0.00028347 seconds elapsed
 -- 0.000270569 seconds elapsed
 -- 0.000259403 seconds elapsed
 -- 0.000268529 seconds elapsed
 -- 0.000269749 seconds elapsed
 -- 0.000261593 seconds elapsed
 -- 0.000258298 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.