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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)
     -- 0.0632258 seconds elapsed
     -- 0.0189892 seconds elapsed
(number Of blocks, 26)
     -- 0.000178437 seconds elapsed
1
     -- 0.000147261 seconds elapsed
1
     -- 0.000123365 seconds elapsed
1
     -- 0.000112187 seconds elapsed
1
     -- 0.00010953 seconds elapsed
2
     -- 0.000135874 seconds elapsed
 2
2
     -- 0.000183145 seconds elapsed
 2
2
     -- 0.000139415 seconds elapsed
 2
2 3
     -- 0.000118908 seconds elapsed
 2
2 3
     -- 0.000107965 seconds elapsed
 2
2 3
     -- 0.000117259 seconds elapsed
 2
2
     -- 0.000104255 seconds elapsed
 2
2
     -- 0.000120348 seconds elapsed
2
     -- 0.000128386 seconds elapsed
2
     -- 0.000169081 seconds elapsed
 2
2
     -- 0.000112297 seconds elapsed
 2
2
     -- 0.00013522 seconds elapsed
 2
2 3
     -- 0.000153727 seconds elapsed
 2
2 3
     -- 0.000159428 seconds elapsed
 2
2 3
     -- 0.000130201 seconds elapsed
 2
2
     -- 0.000130763 seconds elapsed
 2
2
     -- 0.000102942 seconds elapsed
2
     -- 0.000112486 seconds elapsed
1
     -- 0.000117386 seconds elapsed
1
     -- 0.000110139 seconds elapsed
1
     -- 0.000134837 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :