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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)
     -- 0.0129233 seconds elapsed
     -- 0.0254136 seconds elapsed
(number Of blocks, 26)
     -- 0.000236835 seconds elapsed
1
     -- 0.000154748 seconds elapsed
1
     -- 0.000145519 seconds elapsed
1
     -- 0.000139743 seconds elapsed
1
     -- 0.000144144 seconds elapsed
2
     -- 0.000147847 seconds elapsed
 2
2
     -- 0.000187375 seconds elapsed
 2
2
     -- 0.000203819 seconds elapsed
 2
2 3
     -- 0.000166324 seconds elapsed
 2
2 3
     -- 0.000161614 seconds elapsed
 2
2 3
     -- 0.000148817 seconds elapsed
 2
2
     -- 0.000150385 seconds elapsed
 2
2
     -- 0.000140549 seconds elapsed
2
     -- 0.000140509 seconds elapsed
2
     -- 0.00015271 seconds elapsed
 2
2
     -- 0.000142128 seconds elapsed
 2
2
     -- 0.000165365 seconds elapsed
 2
2 3
     -- 0.000174636 seconds elapsed
 2
2 3
     -- 0.000203961 seconds elapsed
 2
2 3
     -- 0.000167347 seconds elapsed
 2
2
     -- 0.000170047 seconds elapsed
 2
2
     -- 0.000148181 seconds elapsed
2
     -- 0.000144448 seconds elapsed
1
     -- 0.000144394 seconds elapsed
1
     -- 0.000146621 seconds elapsed
1
     -- 0.000139171 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :