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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)
 -- 0.0406573 seconds elapsed
 -- 0.0213593 seconds elapsed
 -- 0.000425224 seconds elapsed
 -- 0.000226704 seconds elapsed
 -- 0.000216554 seconds elapsed
 -- 0.000217517 seconds elapsed
 -- 0.000211866 seconds elapsed
 -- 0.000228418 seconds elapsed
 -- 0.000248544 seconds elapsed
 -- 0.000238505 seconds elapsed
 -- 0.000221464 seconds elapsed
 -- 0.000256749 seconds elapsed
 -- 0.000197008 seconds elapsed
 -- 0.000190546 seconds elapsed
 -- 0.000200203 seconds elapsed
 -- 0.00022447 seconds elapsed
 -- 0.000187802 seconds elapsed
 -- 0.000204402 seconds elapsed
 -- 0.000195876 seconds elapsed
 -- 0.000201918 seconds elapsed
 -- 0.000215162 seconds elapsed
 -- 0.00020365 seconds elapsed
 -- 0.000186479 seconds elapsed
 -- 0.00017136 seconds elapsed
 -- 0.000175468 seconds elapsed
 -- 0.000191467 seconds elapsed
 -- 0.000170238 seconds elapsed
 -- 0.000175639 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.