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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)
 -- 0.0158431 seconds elapsed
 -- 0.0210023 seconds elapsed
 -- 0.000294507 seconds elapsed
 -- 0.000232704 seconds elapsed
 -- 0.000229556 seconds elapsed
 -- 0.000153423 seconds elapsed
 -- 0.000289448 seconds elapsed
 -- 0.000297007 seconds elapsed
 -- 0.000337393 seconds elapsed
 -- 0.000294015 seconds elapsed
 -- 0.000258574 seconds elapsed
 -- 0.000248536 seconds elapsed
 -- 0.000233068 seconds elapsed
 -- 0.000245765 seconds elapsed
 -- 0.000227943 seconds elapsed
 -- 0.000226071 seconds elapsed
 -- 0.000231685 seconds elapsed
 -- 0.000156342 seconds elapsed
 -- 0.000261815 seconds elapsed
 -- 0.000373084 seconds elapsed
 -- 0.000270229 seconds elapsed
 -- 0.000257974 seconds elapsed
 -- 0.00030249 seconds elapsed
 -- 0.000675604 seconds elapsed
 -- 0.000247569 seconds elapsed
 -- 0.000272771 seconds elapsed
 -- 0.000251592 seconds elapsed
 -- 0.000245654 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.