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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)
 -- 0.012174 seconds elapsed
 -- 0.0230921 seconds elapsed
 -- 0.000349246 seconds elapsed
 -- 0.000301796 seconds elapsed
 -- 0.000279347 seconds elapsed
 -- 0.000276922 seconds elapsed
 -- 0.000270947 seconds elapsed
 -- 0.000321696 seconds elapsed
 -- 0.000321822 seconds elapsed
 -- 0.000345071 seconds elapsed
 -- 0.000296922 seconds elapsed
 -- 0.000295122 seconds elapsed
 -- 0.000283822 seconds elapsed
 -- 0.000282947 seconds elapsed
 -- 0.000319521 seconds elapsed
 -- 0.000267547 seconds elapsed
 -- 0.000289472 seconds elapsed
 -- 0.000288821 seconds elapsed
 -- 0.000306972 seconds elapsed
 -- 0.000310947 seconds elapsed
 -- 0.000333146 seconds elapsed
 -- 0.000293746 seconds elapsed
 -- 0.000282972 seconds elapsed
 -- 0.000306971 seconds elapsed
 -- 0.000269423 seconds elapsed
 -- 0.000269522 seconds elapsed
 -- 0.000282297 seconds elapsed
 -- 0.000263122 seconds elapsed
(number Of blocks, 26)
1
1
1
1
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
1
1
1
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :

For the programmer

The object carpetDet is a method function.