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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)
 -- 0.00777306 seconds elapsed
 -- 0.0186489 seconds elapsed
 -- 0.000163964 seconds elapsed
 -- 0.000141269 seconds elapsed
 -- 0.000129229 seconds elapsed
 -- 0.00012639 seconds elapsed
 -- 0.000136265 seconds elapsed
 -- 0.000133404 seconds elapsed
 -- 0.000152646 seconds elapsed
 -- 0.000161097 seconds elapsed
 -- 0.000144502 seconds elapsed
 -- 0.000141014 seconds elapsed
 -- 0.000129408 seconds elapsed
 -- 0.000132994 seconds elapsed
 -- 0.000130156 seconds elapsed
 -- 0.000131627 seconds elapsed
 -- 0.00013597 seconds elapsed
 -- 0.000299211 seconds elapsed
 -- 0.000226035 seconds elapsed
 -- 0.00014036 seconds elapsed
 -- 0.000158353 seconds elapsed
 -- 0.000142712 seconds elapsed
 -- 0.000137233 seconds elapsed
 -- 0.000131062 seconds elapsed
 -- 0.000219593 seconds elapsed
 -- 0.000220961 seconds elapsed
 -- 0.000165949 seconds elapsed
 -- 0.000185515 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.