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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)
 -- 0.00585817 seconds elapsed
 -- 0.061938 seconds elapsed
 -- 0.000160114 seconds elapsed
 -- 0.000193583 seconds elapsed
 -- 0.000118832 seconds elapsed
 -- 0.000147072 seconds elapsed
 -- 0.000148993 seconds elapsed
 -- 0.000125622 seconds elapsed
 -- 0.000142952 seconds elapsed
 -- 0.000167923 seconds elapsed
 -- 0.000169803 seconds elapsed
 -- 0.000140482 seconds elapsed
 -- 0.000162743 seconds elapsed
 -- 0.000167913 seconds elapsed
 -- 0.000127091 seconds elapsed
 -- 0.000140382 seconds elapsed
 -- 0.000130862 seconds elapsed
 -- 0.000222044 seconds elapsed
 -- 0.000141253 seconds elapsed
 -- 0.000130882 seconds elapsed
 -- 0.000142442 seconds elapsed
 -- 0.000152952 seconds elapsed
 -- 0.000195943 seconds elapsed
 -- 0.000119822 seconds elapsed
 -- 0.000156603 seconds elapsed
 -- 0.000125192 seconds elapsed
 -- 0.000121182 seconds elapsed
 -- 0.000117342 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.