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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)
 -- 0.0053523 seconds elapsed
 -- 0.013492 seconds elapsed
 -- 0.000171662 seconds elapsed
 -- 0.000112992 seconds elapsed
 -- 0.000116982 seconds elapsed
 -- 0.000112161 seconds elapsed
 -- 0.000111321 seconds elapsed
 -- 0.00011447 seconds elapsed
 -- 0.000144771 seconds elapsed
 -- 0.000130121 seconds elapsed
 -- 0.000121922 seconds elapsed
 -- 0.000117662 seconds elapsed
 -- 0.000112952 seconds elapsed
 -- 0.000116701 seconds elapsed
 -- 0.000109602 seconds elapsed
 -- 0.000113862 seconds elapsed
 -- 0.000120332 seconds elapsed
 -- 0.000114591 seconds elapsed
 -- 0.000131042 seconds elapsed
 -- 0.000121681 seconds elapsed
 -- 0.000131102 seconds elapsed
 -- 0.000119491 seconds elapsed
 -- 0.000114141 seconds elapsed
 -- 0.000106251 seconds elapsed
 -- 0.00014437 seconds elapsed
 -- 0.000114701 seconds elapsed
 -- 0.000110451 seconds elapsed
 -- 0.000100612 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.