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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)
 -- 0.0335044 seconds elapsed
 -- 0.0215675 seconds elapsed
 -- 0.000286066 seconds elapsed
 -- 0.000216825 seconds elapsed
 -- 0.000236021 seconds elapsed
 -- 0.000211106 seconds elapsed
 -- 0.000211467 seconds elapsed
 -- 0.000227206 seconds elapsed
 -- 0.000273523 seconds elapsed
 -- 0.000287569 seconds elapsed
 -- 0.000224942 seconds elapsed
 -- 0.000212417 seconds elapsed
 -- 0.000205906 seconds elapsed
 -- 0.000209082 seconds elapsed
 -- 0.000180239 seconds elapsed
 -- 0.000187972 seconds elapsed
 -- 0.000203692 seconds elapsed
 -- 0.000241413 seconds elapsed
 -- 0.000209301 seconds elapsed
 -- 0.000223099 seconds elapsed
 -- 0.000222547 seconds elapsed
 -- 0.000211246 seconds elapsed
 -- 0.000204162 seconds elapsed
 -- 0.000185577 seconds elapsed
 -- 0.000190577 seconds elapsed
 -- 0.000188844 seconds elapsed
 -- 0.000194365 seconds elapsed
 -- 0.000195697 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.