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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)
 -- 0.01722 seconds elapsed
 -- 0.0471758 seconds elapsed
 -- 0.000390946 seconds elapsed
 -- 0.000356147 seconds elapsed
 -- 0.000310947 seconds elapsed
 -- 0.000313272 seconds elapsed
 -- 0.000329772 seconds elapsed
 -- 0.000339921 seconds elapsed
 -- 0.00042917 seconds elapsed
 -- 0.000362796 seconds elapsed
 -- 0.000334896 seconds elapsed
 -- 0.000362471 seconds elapsed
 -- 0.000330646 seconds elapsed
 -- 0.000349296 seconds elapsed
 -- 0.000342321 seconds elapsed
 -- 0.000323071 seconds elapsed
 -- 0.000351122 seconds elapsed
 -- 0.000311897 seconds elapsed
 -- 0.000331247 seconds elapsed
 -- 0.000337746 seconds elapsed
 -- 0.000356571 seconds elapsed
 -- 0.000360672 seconds elapsed
 -- 0.000350396 seconds elapsed
 -- 0.000335822 seconds elapsed
 -- 0.000306272 seconds elapsed
 -- 0.000326096 seconds elapsed
 -- 0.000310622 seconds elapsed
 -- 0.000338046 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.