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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)
 -- 0.0101524 seconds elapsed
 -- 0.0452089 seconds elapsed
 -- 0.000341056 seconds elapsed
 -- 0.000199131 seconds elapsed
 -- 0.00019808 seconds elapsed
 -- 0.000202197 seconds elapsed
 -- 0.000185375 seconds elapsed
 -- 0.000206355 seconds elapsed
 -- 0.000291022 seconds elapsed
 -- 0.000277646 seconds elapsed
 -- 0.000212295 seconds elapsed
 -- 0.000221512 seconds elapsed
 -- 0.000196886 seconds elapsed
 -- 0.000206624 seconds elapsed
 -- 0.000192348 seconds elapsed
 -- 0.000217975 seconds elapsed
 -- 0.000223707 seconds elapsed
 -- 0.000213598 seconds elapsed
 -- 0.000276555 seconds elapsed
 -- 0.000205232 seconds elapsed
 -- 0.000227484 seconds elapsed
 -- 0.000241009 seconds elapsed
 -- 0.000206485 seconds elapsed
 -- 0.000201386 seconds elapsed
 -- 0.000190494 seconds elapsed
 -- 0.000197617 seconds elapsed
 -- 0.000242441 seconds elapsed
 -- 0.000189763 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.