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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)
 -- .0071896s elapsed
 -- .0127245s elapsed
 -- .000232498s elapsed
 -- .000147618s elapsed
 -- .000155183s elapsed
 -- .000139834s elapsed
 -- .000137349s elapsed
 -- .000149071s elapsed
 -- .000168728s elapsed
 -- .000189006s elapsed
 -- .00021733s elapsed
 -- .000123214s elapsed
 -- .000127781s elapsed
 -- .000139522s elapsed
 -- .000113955s elapsed
 -- .000124214s elapsed
 -- .000133201s elapsed
 -- .000113044s elapsed
 -- .000124414s elapsed
 -- .000123923s elapsed
 -- .00013317s elapsed
 -- .00012758s elapsed
 -- .000139463s elapsed
 -- .000115358s elapsed
 -- .000131287s elapsed
 -- .000136326s elapsed
 -- .000119846s elapsed
 -- .000116429s 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.