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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)
 -- 0.0088664 seconds elapsed
 -- 0.0290136 seconds elapsed
 -- 0.000255907 seconds elapsed
 -- 0.000238856 seconds elapsed
 -- 0.000211222 seconds elapsed
 -- 0.000207467 seconds elapsed
 -- 0.000213135 seconds elapsed
 -- 0.000221919 seconds elapsed
 -- 0.000265056 seconds elapsed
 -- 0.000277179 seconds elapsed
 -- 0.000245524 seconds elapsed
 -- 0.000228636 seconds elapsed
 -- 0.000210268 seconds elapsed
 -- 0.000210644 seconds elapsed
 -- 0.000216163 seconds elapsed
 -- 0.000206111 seconds elapsed
 -- 0.000209837 seconds elapsed
 -- 0.00019968 seconds elapsed
 -- 0.000233763 seconds elapsed
 -- 0.00022244 seconds elapsed
 -- 0.000251045 seconds elapsed
 -- 0.000235885 seconds elapsed
 -- 0.000223653 seconds elapsed
 -- 0.000206829 seconds elapsed
 -- 0.000198 seconds elapsed
 -- 0.000201984 seconds elapsed
 -- 0.000204366 seconds elapsed
 -- 0.000206648 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.