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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)
 -- .00903043s elapsed
 -- .0152431s elapsed
 -- .000273428s elapsed
 -- .000251259s elapsed
 -- .000203309s elapsed
 -- .000205018s elapsed
 -- .000198005s elapsed
 -- .000202114s elapsed
 -- .000236687s elapsed
 -- .000259558s elapsed
 -- .000282583s elapsed
 -- .000186783s elapsed
 -- .000173138s elapsed
 -- .000181421s elapsed
 -- .000167625s elapsed
 -- .000162439s elapsed
 -- .000174933s elapsed
 -- .000164724s elapsed
 -- .000197402s elapsed
 -- .000188402s elapsed
 -- .000192169s elapsed
 -- .000183166s elapsed
 -- .00018897s elapsed
 -- .000165646s elapsed
 -- .000164061s elapsed
 -- .000177154s elapsed
 -- .000169307s elapsed
 -- .000179285s 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.