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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)
     -- 0.0636292 seconds elapsed
     -- 0.0256854 seconds elapsed
(number Of blocks, 26)
     -- 0.000243716 seconds elapsed
1
     -- 0.000155219 seconds elapsed
1
     -- 0.00014461 seconds elapsed
1
     -- 0.000140498 seconds elapsed
1
     -- 0.000137966 seconds elapsed
2
     -- 0.000149001 seconds elapsed
 2
2
     -- 0.000187207 seconds elapsed
 2
2
     -- 0.000205413 seconds elapsed
 2
2 3
     -- 0.000169547 seconds elapsed
 2
2 3
     -- 0.000159761 seconds elapsed
 2
2 3
     -- 0.000145329 seconds elapsed
 2
2
     -- 0.000149218 seconds elapsed
 2
2
     -- 0.000138313 seconds elapsed
2
     -- 0.000149734 seconds elapsed
2
     -- 0.000158558 seconds elapsed
 2
2
     -- 0.000139481 seconds elapsed
 2
2
     -- 0.000161583 seconds elapsed
 2
2 3
     -- 0.000162982 seconds elapsed
 2
2 3
     -- 0.000195256 seconds elapsed
 2
2 3
     -- 0.000164752 seconds elapsed
 2
2
     -- 0.000149251 seconds elapsed
 2
2
     -- 0.000143128 seconds elapsed
2
     -- 0.00014038 seconds elapsed
1
     -- 0.000142489 seconds elapsed
1
     -- 0.000143591 seconds elapsed
1
     -- 0.000142125 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :