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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)
 -- 0.00663693 seconds elapsed
 -- 0.0320342 seconds elapsed
 -- 0.000153453 seconds elapsed
 -- 0.000147309 seconds elapsed
 -- 0.000152431 seconds elapsed
 -- 0.0001435 seconds elapsed
 -- 0.000142979 seconds elapsed
 -- 0.000152107 seconds elapsed
 -- 0.000165903 seconds elapsed
 -- 0.000171444 seconds elapsed
 -- 0.000166249 seconds elapsed
 -- 0.000149577 seconds elapsed
 -- 0.000144301 seconds elapsed
 -- 0.000145492 seconds elapsed
 -- 0.000139876 seconds elapsed
 -- 0.000144563 seconds elapsed
 -- 0.000149658 seconds elapsed
 -- 0.000144908 seconds elapsed
 -- 0.000152556 seconds elapsed
 -- 0.00015669 seconds elapsed
 -- 0.000164319 seconds elapsed
 -- 0.000156299 seconds elapsed
 -- 0.000151957 seconds elapsed
 -- 0.00014599 seconds elapsed
 -- 0.000143558 seconds elapsed
 -- 0.000150311 seconds elapsed
 -- 0.000145858 seconds elapsed
 -- 0.000146233 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.