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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)
 -- 0.00785095 seconds elapsed
 -- 0.0310554 seconds elapsed
 -- 0.000243468 seconds elapsed
 -- 0.000209529 seconds elapsed
 -- 0.000179026 seconds elapsed
 -- 0.000174499 seconds elapsed
 -- 0.000173746 seconds elapsed
 -- 0.000180086 seconds elapsed
 -- 0.000214085 seconds elapsed
 -- 0.000222353 seconds elapsed
 -- 0.000193537 seconds elapsed
 -- 0.000187541 seconds elapsed
 -- 0.000173758 seconds elapsed
 -- 0.000170475 seconds elapsed
 -- 0.000166613 seconds elapsed
 -- 0.000164579 seconds elapsed
 -- 0.00017833 seconds elapsed
 -- 0.000176932 seconds elapsed
 -- 0.000192256 seconds elapsed
 -- 0.000205008 seconds elapsed
 -- 0.000196584 seconds elapsed
 -- 0.000188271 seconds elapsed
 -- 0.00017754 seconds elapsed
 -- 0.000167706 seconds elapsed
 -- 0.000164934 seconds elapsed
 -- 0.000168499 seconds elapsed
 -- 0.000168481 seconds elapsed
 -- 0.000169435 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.