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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)
 -- 0.00735682 seconds elapsed
 -- 0.0422371 seconds elapsed
 -- 0.000224644 seconds elapsed
 -- 0.000137809 seconds elapsed
 -- 0.000126117 seconds elapsed
 -- 0.000152607 seconds elapsed
 -- 0.00012748 seconds elapsed
 -- 0.000133421 seconds elapsed
 -- 0.000156195 seconds elapsed
 -- 0.000193155 seconds elapsed
 -- 0.000140836 seconds elapsed
 -- 0.000126328 seconds elapsed
 -- 0.000194136 seconds elapsed
 -- 0.000142488 seconds elapsed
 -- 0.000117271 seconds elapsed
 -- 0.000151976 seconds elapsed
 -- 0.000122862 seconds elapsed
 -- 0.000127852 seconds elapsed
 -- 0.000141436 seconds elapsed
 -- 0.000133091 seconds elapsed
 -- 0.000139954 seconds elapsed
 -- 0.000142228 seconds elapsed
 -- 0.000136046 seconds elapsed
 -- 0.000120827 seconds elapsed
 -- 0.000148371 seconds elapsed
 -- 0.000130596 seconds elapsed
 -- 0.000128772 seconds elapsed
 -- 0.000124845 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.