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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)
 -- 0.00637854 seconds elapsed
 -- 0.0284421 seconds elapsed
 -- 0.000201298 seconds elapsed
 -- 0.000142677 seconds elapsed
 -- 0.000144302 seconds elapsed
 -- 0.000126497 seconds elapsed
 -- 0.000127969 seconds elapsed
 -- 0.000129823 seconds elapsed
 -- 0.000149161 seconds elapsed
 -- 0.000159779 seconds elapsed
 -- 0.000128941 seconds elapsed
 -- 0.000134492 seconds elapsed
 -- 0.00012801 seconds elapsed
 -- 0.000131536 seconds elapsed
 -- 0.0001225 seconds elapsed
 -- 0.000141555 seconds elapsed
 -- 0.000140683 seconds elapsed
 -- 0.000147758 seconds elapsed
 -- 0.00015473 seconds elapsed
 -- 0.000131547 seconds elapsed
 -- 0.000141666 seconds elapsed
 -- 0.000136675 seconds elapsed
 -- 0.000128741 seconds elapsed
 -- 0.000124453 seconds elapsed
 -- 0.00011742 seconds elapsed
 -- 0.000121428 seconds elapsed
 -- 0.000200085 seconds elapsed
 -- 0.000123721 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.