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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)
     -- 0.133429 seconds elapsed
     -- 0.0402364 seconds elapsed
(number Of blocks, 26)
     -- 0.000410365 seconds elapsed
1
     -- 0.000330504 seconds elapsed
1
     -- 0.000307464 seconds elapsed
1
     -- 0.000305304 seconds elapsed
1
     -- 0.000353524 seconds elapsed
2
     -- 0.000329445 seconds elapsed
 2
2
     -- 0.000375585 seconds elapsed
 2
2
     -- 0.000398105 seconds elapsed
 2
2 3
     -- 0.000346744 seconds elapsed
 2
2 3
     -- 0.000338584 seconds elapsed
 2
2 3
     -- 0.000315564 seconds elapsed
 2
2
     -- 0.000323404 seconds elapsed
 2
2
     -- 0.000303843 seconds elapsed
2
     -- 0.000298984 seconds elapsed
2
     -- 0.000316124 seconds elapsed
 2
2
     -- 0.000299224 seconds elapsed
 2
2
     -- 0.000343264 seconds elapsed
 2
2 3
     -- 0.000345264 seconds elapsed
 2
2 3
     -- 0.000377024 seconds elapsed
 2
2 3
     -- 0.0699877 seconds elapsed
 2
2
     -- 0.000418405 seconds elapsed
 2
2
     -- 0.000307324 seconds elapsed
2
     -- 0.000302324 seconds elapsed
1
     -- 0.000315244 seconds elapsed
1
     -- 0.000315324 seconds elapsed
1
     -- 0.000305504 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :