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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)
 -- 0.0086565 seconds elapsed
 -- 0.0321294 seconds elapsed
 -- 0.000238547 seconds elapsed
 -- 0.000195199 seconds elapsed
 -- 0.000177477 seconds elapsed
 -- 0.000175302 seconds elapsed
 -- 0.000165581 seconds elapsed
 -- 0.000171124 seconds elapsed
 -- 0.000197888 seconds elapsed
 -- 0.000225468 seconds elapsed
 -- 0.000199962 seconds elapsed
 -- 0.000181766 seconds elapsed
 -- 0.000170705 seconds elapsed
 -- 0.00018081 seconds elapsed
 -- 0.000167764 seconds elapsed
 -- 0.000169474 seconds elapsed
 -- 0.000175845 seconds elapsed
 -- 0.000171202 seconds elapsed
 -- 0.000184228 seconds elapsed
 -- 0.000179632 seconds elapsed
 -- 0.000214692 seconds elapsed
 -- 0.000198642 seconds elapsed
 -- 0.000185976 seconds elapsed
 -- 0.000162162 seconds elapsed
 -- 0.000159537 seconds elapsed
 -- 0.000167327 seconds elapsed
 -- 0.00016285 seconds elapsed
 -- 0.000160745 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.