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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)
 -- 0.00558436 seconds elapsed
 -- 0.046764 seconds elapsed
 -- 0.000170711 seconds elapsed
 -- 0.000124513 seconds elapsed
 -- 0.000116851 seconds elapsed
 -- 0.000133202 seconds elapsed
 -- 0.000120502 seconds elapsed
 -- 0.000125381 seconds elapsed
 -- 0.00015905 seconds elapsed
 -- 0.000145362 seconds elapsed
 -- 0.000154522 seconds elapsed
 -- 0.000127142 seconds elapsed
 -- 0.000120061 seconds elapsed
 -- 0.000118221 seconds elapsed
 -- 0.000118012 seconds elapsed
 -- 0.000114261 seconds elapsed
 -- 0.000148682 seconds elapsed
 -- 0.000121412 seconds elapsed
 -- 0.000126812 seconds elapsed
 -- 0.000130761 seconds elapsed
 -- 0.000135111 seconds elapsed
 -- 0.000139791 seconds elapsed
 -- 0.000127032 seconds elapsed
 -- 0.000121052 seconds elapsed
 -- 0.000147722 seconds elapsed
 -- 0.000128152 seconds elapsed
 -- 0.000123681 seconds elapsed
 -- 0.000144142 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.