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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)
 -- 0.0104851 seconds elapsed
 -- 0.0580454 seconds elapsed
 -- 0.000380679 seconds elapsed
 -- 0.000195594 seconds elapsed
 -- 0.000238554 seconds elapsed
 -- 0.000200524 seconds elapsed
 -- 0.000214149 seconds elapsed
 -- 0.000201926 seconds elapsed
 -- 0.000251739 seconds elapsed
 -- 0.000242272 seconds elapsed
 -- 0.000217435 seconds elapsed
 -- 0.000237592 seconds elapsed
 -- 0.000200223 seconds elapsed
 -- 0.000207696 seconds elapsed
 -- 0.00023061 seconds elapsed
 -- 0.000219679 seconds elapsed
 -- 0.000234176 seconds elapsed
 -- 0.000215642 seconds elapsed
 -- 0.00026868 seconds elapsed
 -- 0.000202528 seconds elapsed
 -- 0.000226512 seconds elapsed
 -- 0.000219358 seconds elapsed
 -- 0.000210371 seconds elapsed
 -- 0.00018261 seconds elapsed
 -- 0.000218647 seconds elapsed
 -- 0.000187278 seconds elapsed
 -- 0.000352887 seconds elapsed
 -- 0.000207115 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.