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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)
 -- 0.011324 seconds elapsed
 -- 0.0367378 seconds elapsed
 -- 0.000292545 seconds elapsed
 -- 0.000253583 seconds elapsed
 -- 0.000238456 seconds elapsed
 -- 0.000219825 seconds elapsed
 -- 0.000219029 seconds elapsed
 -- 0.000237563 seconds elapsed
 -- 0.000301422 seconds elapsed
 -- 0.000277458 seconds elapsed
 -- 0.000247448 seconds elapsed
 -- 0.000238562 seconds elapsed
 -- 0.000227207 seconds elapsed
 -- 0.000262984 seconds elapsed
 -- 0.000224327 seconds elapsed
 -- 0.000226183 seconds elapsed
 -- 0.000294392 seconds elapsed
 -- 0.000241008 seconds elapsed
 -- 0.000281096 seconds elapsed
 -- 0.000244401 seconds elapsed
 -- 0.000258111 seconds elapsed
 -- 0.000240994 seconds elapsed
 -- 0.000240451 seconds elapsed
 -- 0.000219776 seconds elapsed
 -- 0.000215439 seconds elapsed
 -- 0.000223257 seconds elapsed
 -- 0.000300251 seconds elapsed
 -- 0.00022151 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.