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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)
 -- 0.0104528 seconds elapsed
 -- 0.0841226 seconds elapsed
 -- 0.000344834 seconds elapsed
 -- 0.000313064 seconds elapsed
 -- 0.000352174 seconds elapsed
 -- 0.000282733 seconds elapsed
 -- 0.000290753 seconds elapsed
 -- 0.000296174 seconds elapsed
 -- 0.000338474 seconds elapsed
 -- 0.000372704 seconds elapsed
 -- 0.000323604 seconds elapsed
 -- 0.000309764 seconds elapsed
 -- 0.000276374 seconds elapsed
 -- 0.000368964 seconds elapsed
 -- 0.000369915 seconds elapsed
 -- 0.000366875 seconds elapsed
 -- 0.000430646 seconds elapsed
 -- 0.000366175 seconds elapsed
 -- 0.000371415 seconds elapsed
 -- 0.000444176 seconds elapsed
 -- 0.000297213 seconds elapsed
 -- 0.000349304 seconds elapsed
 -- 0.000365664 seconds elapsed
 -- 0.000307814 seconds elapsed
 -- 0.000337864 seconds elapsed
 -- 0.000353924 seconds elapsed
 -- 0.000284183 seconds elapsed
 -- 0.000293224 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.