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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)
 -- .023887s elapsed
 -- .0224611s elapsed
 -- .000281838s elapsed
 -- .000134322s elapsed
 -- .000117361s elapsed
 -- .000113723s elapsed
 -- .000115275s elapsed
 -- .000120876s elapsed
 -- .000143789s elapsed
 -- .000447297s elapsed
 -- .000368159s elapsed
 -- .000119123s elapsed
 -- .000112329s elapsed
 -- .000118642s elapsed
 -- .000107462s elapsed
 -- .000108013s elapsed
 -- .000114595s elapsed
 -- .000106309s elapsed
 -- .000123922s elapsed
 -- .000128231s elapsed
 -- .000131386s elapsed
 -- .000124613s elapsed
 -- .000131696s elapsed
 -- .000118632s elapsed
 -- .00010717s elapsed
 -- .00012855s elapsed
 -- .0001177s elapsed
 -- .000111488s 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.