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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)
     -- 0.031689 seconds elapsed
     -- 0.0099601 seconds elapsed
(number Of blocks, 26)
     -- 0.000108194 seconds elapsed
1
     -- 0.000081329 seconds elapsed
1
     -- 0.000077211 seconds elapsed
1
     -- 0.000062213 seconds elapsed
1
     -- 0.000061613 seconds elapsed
2
     -- 0.000064955 seconds elapsed
 2
2
     -- 0.000084662 seconds elapsed
 2
2
     -- 0.000095694 seconds elapsed
 2
2 3
     -- 0.000086112 seconds elapsed
 2
2 3
     -- 0.000091216 seconds elapsed
 2
2 3
     -- 0.000078363 seconds elapsed
 2
2
     -- 0.000076251 seconds elapsed
 2
2
     -- 0.000074815 seconds elapsed
2
     -- 0.000071825 seconds elapsed
2
     -- 0.000076099 seconds elapsed
 2
2
     -- 0.000071879 seconds elapsed
 2
2
     -- 0.000068723 seconds elapsed
 2
2 3
     -- 0.000080028 seconds elapsed
 2
2 3
     -- 0.000094949 seconds elapsed
 2
2 3
     -- 0.00008526 seconds elapsed
 2
2
     -- 0.000079618 seconds elapsed
 2
2
     -- 0.000075881 seconds elapsed
2
     -- 0.00006752 seconds elapsed
1
     -- 0.000086102 seconds elapsed
1
     -- 0.000075787 seconds elapsed
1
     -- 0.000072505 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :