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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)
 -- 0.00549487 seconds elapsed
 -- 0.0118357 seconds elapsed
 -- 0.000195909 seconds elapsed
 -- 0.000128202 seconds elapsed
 -- 0.000109276 seconds elapsed
 -- 0.000113535 seconds elapsed
 -- 0.000107943 seconds elapsed
 -- 0.000112081 seconds elapsed
 -- 0.000129975 seconds elapsed
 -- 0.000150434 seconds elapsed
 -- 0.000116058 seconds elapsed
 -- 0.000116399 seconds elapsed
 -- 0.00011104 seconds elapsed
 -- 0.000115597 seconds elapsed
 -- 0.00011136 seconds elapsed
 -- 0.00010599 seconds elapsed
 -- 0.000110659 seconds elapsed
 -- 0.000120287 seconds elapsed
 -- 0.00012229 seconds elapsed
 -- 0.000122501 seconds elapsed
 -- 0.000127892 seconds elapsed
 -- 0.000138371 seconds elapsed
 -- 0.000114375 seconds elapsed
 -- 0.000110739 seconds elapsed
 -- 0.0001064 seconds elapsed
 -- 0.000117232 seconds elapsed
 -- 0.000105629 seconds elapsed
 -- 0.00011671 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.