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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)
 -- 0.00791508 seconds elapsed
 -- 0.0242081 seconds elapsed
 -- 0.000212592 seconds elapsed
 -- 0.000195862 seconds elapsed
 -- 0.000187462 seconds elapsed
 -- 0.000179991 seconds elapsed
 -- 0.000187011 seconds elapsed
 -- 0.000206331 seconds elapsed
 -- 0.000215002 seconds elapsed
 -- 0.000235482 seconds elapsed
 -- 0.000209022 seconds elapsed
 -- 0.000202212 seconds elapsed
 -- 0.000178852 seconds elapsed
 -- 0.000187941 seconds elapsed
 -- 0.000176622 seconds elapsed
 -- 0.000186151 seconds elapsed
 -- 0.000202262 seconds elapsed
 -- 0.000189452 seconds elapsed
 -- 0.000224402 seconds elapsed
 -- 0.000197222 seconds elapsed
 -- 0.000211372 seconds elapsed
 -- 0.000200032 seconds elapsed
 -- 0.000184781 seconds elapsed
 -- 0.000175211 seconds elapsed
 -- 0.000171391 seconds elapsed
 -- 0.000181912 seconds elapsed
 -- 0.000184512 seconds elapsed
 -- 0.000219332 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.