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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)
 -- 0.0124549 seconds elapsed
 -- 0.0231958 seconds elapsed
 -- 0.00043472 seconds elapsed
 -- 0.000321621 seconds elapsed
 -- 0.000316021 seconds elapsed
 -- 0.000271896 seconds elapsed
 -- 0.000296647 seconds elapsed
 -- 0.000326121 seconds elapsed
 -- 0.000328521 seconds elapsed
 -- 0.000329996 seconds elapsed
 -- 0.000307971 seconds elapsed
 -- 0.000301796 seconds elapsed
 -- 0.000280147 seconds elapsed
 -- 0.000284972 seconds elapsed
 -- 0.000313171 seconds elapsed
 -- 0.000275946 seconds elapsed
 -- 0.000293096 seconds elapsed
 -- 0.000280947 seconds elapsed
 -- 0.000305721 seconds elapsed
 -- 0.000300246 seconds elapsed
 -- 0.000318996 seconds elapsed
 -- 0.000342271 seconds elapsed
 -- 0.000324796 seconds elapsed
 -- 0.000282747 seconds elapsed
 -- 0.000276521 seconds elapsed
 -- 0.000279547 seconds elapsed
 -- 0.000289221 seconds elapsed
 -- 0.000281171 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.