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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)
 -- 0.00595178 seconds elapsed
 -- 0.0230451 seconds elapsed
 -- 0.000141635 seconds elapsed
 -- 0.00010692 seconds elapsed
 -- 0.000107221 seconds elapsed
 -- 0.000102282 seconds elapsed
 -- 0.000100953 seconds elapsed
 -- 0.000112118 seconds elapsed
 -- 0.000131483 seconds elapsed
 -- 0.000158925 seconds elapsed
 -- 0.000163497 seconds elapsed
 -- 0.000136159 seconds elapsed
 -- 0.000174894 seconds elapsed
 -- 0.000133722 seconds elapsed
 -- 0.000106814 seconds elapsed
 -- 0.00010249 seconds elapsed
 -- 0.000105564 seconds elapsed
 -- 0.000100657 seconds elapsed
 -- 0.00016246 seconds elapsed
 -- 0.000129819 seconds elapsed
 -- 0.000120706 seconds elapsed
 -- 0.000112615 seconds elapsed
 -- 0.000105902 seconds elapsed
 -- 0.000095763 seconds elapsed
 -- 0.000097345 seconds elapsed
 -- 0.000097882 seconds elapsed
 -- 0.000103211 seconds elapsed
 -- 0.000119506 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.