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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)
 -- 0.0102485 seconds elapsed
 -- 0.0228234 seconds elapsed
 -- 0.00035996 seconds elapsed
 -- 0.000213778 seconds elapsed
 -- 0.000213529 seconds elapsed
 -- 0.000209461 seconds elapsed
 -- 0.000194202 seconds elapsed
 -- 0.000219608 seconds elapsed
 -- 0.000249756 seconds elapsed
 -- 0.000256028 seconds elapsed
 -- 0.000221763 seconds elapsed
 -- 0.000222284 seconds elapsed
 -- 0.000213227 seconds elapsed
 -- 0.00022038 seconds elapsed
 -- 0.000201927 seconds elapsed
 -- 0.000205613 seconds elapsed
 -- 0.000208249 seconds elapsed
 -- 0.000191738 seconds elapsed
 -- 0.000224418 seconds elapsed
 -- 0.000230198 seconds elapsed
 -- 0.000252471 seconds elapsed
 -- 0.000230579 seconds elapsed
 -- 0.000218317 seconds elapsed
 -- 0.000202297 seconds elapsed
 -- 0.000205111 seconds elapsed
 -- 0.000245687 seconds elapsed
 -- 0.000207987 seconds elapsed
 -- 0.000199992 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.