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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)
 -- 0.00629621 seconds elapsed
 -- 0.027668 seconds elapsed
 -- 0.000199964 seconds elapsed
 -- 0.000189228 seconds elapsed
 -- 0.000182901 seconds elapsed
 -- 0.000176899 seconds elapsed
 -- 0.000186787 seconds elapsed
 -- 0.000195078 seconds elapsed
 -- 0.000239496 seconds elapsed
 -- 0.000201574 seconds elapsed
 -- 0.000191597 seconds elapsed
 -- 0.000187942 seconds elapsed
 -- 0.000190869 seconds elapsed
 -- 0.000214845 seconds elapsed
 -- 0.000188266 seconds elapsed
 -- 0.0001848 seconds elapsed
 -- 0.000172354 seconds elapsed
 -- 0.000174833 seconds elapsed
 -- 0.000185733 seconds elapsed
 -- 0.00020166 seconds elapsed
 -- 0.00021707 seconds elapsed
 -- 0.000187334 seconds elapsed
 -- 0.00017102 seconds elapsed
 -- 0.000166304 seconds elapsed
 -- 0.000159929 seconds elapsed
 -- 0.00017863 seconds elapsed
 -- 0.000178479 seconds elapsed
 -- 0.000166432 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.