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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)
 -- 0.00839293 seconds elapsed
 -- 0.0720585 seconds elapsed
 -- 0.000277764 seconds elapsed
 -- 0.00020176 seconds elapsed
 -- 0.000130927 seconds elapsed
 -- 0.000133196 seconds elapsed
 -- 0.000124219 seconds elapsed
 -- 0.000134354 seconds elapsed
 -- 0.000157696 seconds elapsed
 -- 0.000220346 seconds elapsed
 -- 0.0004908 seconds elapsed
 -- 0.000169422 seconds elapsed
 -- 0.000186375 seconds elapsed
 -- 0.000402058 seconds elapsed
 -- 0.000161604 seconds elapsed
 -- 0.000190371 seconds elapsed
 -- 0.000513295 seconds elapsed
 -- 0.000158994 seconds elapsed
 -- 0.000397414 seconds elapsed
 -- 0.000184276 seconds elapsed
 -- 0.000283932 seconds elapsed
 -- 0.000564781 seconds elapsed
 -- 0.000258499 seconds elapsed
 -- 0.000170841 seconds elapsed
 -- 0.000233369 seconds elapsed
 -- 0.000194326 seconds elapsed
 -- 0.000227632 seconds elapsed
 -- 0.000208281 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.