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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)
 -- 0.00469423 seconds elapsed
 -- 0.0116287 seconds elapsed
 -- 0.000189309 seconds elapsed
 -- 0.00011599 seconds elapsed
 -- 0.000106449 seconds elapsed
 -- 0.000099451 seconds elapsed
 -- 0.000100811 seconds elapsed
 -- 0.00010176 seconds elapsed
 -- 0.000123221 seconds elapsed
 -- 0.00013308 seconds elapsed
 -- 0.000112061 seconds elapsed
 -- 0.00011361 seconds elapsed
 -- 0.00010564 seconds elapsed
 -- 0.00012777 seconds elapsed
 -- 0.00010434 seconds elapsed
 -- 0.0001031 seconds elapsed
 -- 0.000114131 seconds elapsed
 -- 0.000101361 seconds elapsed
 -- 0.000116741 seconds elapsed
 -- 0.000109469 seconds elapsed
 -- 0.00013205 seconds elapsed
 -- 0.00013002 seconds elapsed
 -- 0.00011257 seconds elapsed
 -- 0.00010292 seconds elapsed
 -- 0.00010886 seconds elapsed
 -- 0.00014464 seconds elapsed
 -- 0.000117201 seconds elapsed
 -- 0.000104511 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.