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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)
 -- 0.0101631 seconds elapsed
 -- 0.0218587 seconds elapsed
 -- 0.000294229 seconds elapsed
 -- 0.000186938 seconds elapsed
 -- 0.000222136 seconds elapsed
 -- 0.000195765 seconds elapsed
 -- 0.000183433 seconds elapsed
 -- 0.000196888 seconds elapsed
 -- 0.000233536 seconds elapsed
 -- 0.000246501 seconds elapsed
 -- 0.000211775 seconds elapsed
 -- 0.000237815 seconds elapsed
 -- 0.000197067 seconds elapsed
 -- 0.000194253 seconds elapsed
 -- 0.000178013 seconds elapsed
 -- 0.000177222 seconds elapsed
 -- 0.000200073 seconds elapsed
 -- 0.000184114 seconds elapsed
 -- 0.000194904 seconds elapsed
 -- 0.000229008 seconds elapsed
 -- 0.000218999 seconds elapsed
 -- 0.000217936 seconds elapsed
 -- 0.000204453 seconds elapsed
 -- 0.000200013 seconds elapsed
 -- 0.000188914 seconds elapsed
 -- 0.000196216 seconds elapsed
 -- 0.000248575 seconds elapsed
 -- 0.000182511 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.