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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)
 -- 0.0128992 seconds elapsed
 -- 0.0253458 seconds elapsed
 -- 0.00042247 seconds elapsed
 -- 0.000323996 seconds elapsed
 -- 0.000307347 seconds elapsed
 -- 0.000286471 seconds elapsed
 -- 0.000293447 seconds elapsed
 -- 0.000305021 seconds elapsed
 -- 0.000356096 seconds elapsed
 -- 0.000364571 seconds elapsed
 -- 0.000332921 seconds elapsed
 -- 0.000313421 seconds elapsed
 -- 0.000314621 seconds elapsed
 -- 0.000309922 seconds elapsed
 -- 0.000293697 seconds elapsed
 -- 0.000296571 seconds elapsed
 -- 0.000302496 seconds elapsed
 -- 0.000297947 seconds elapsed
 -- 0.000330371 seconds elapsed
 -- 0.000321346 seconds elapsed
 -- 0.000341371 seconds elapsed
 -- 0.000323171 seconds elapsed
 -- 0.000308696 seconds elapsed
 -- 0.000293097 seconds elapsed
 -- 0.000290121 seconds elapsed
 -- 0.000302222 seconds elapsed
 -- 0.000306646 seconds elapsed
 -- 0.000289696 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.