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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)
 -- .00984183s elapsed
 -- .0127403s elapsed
 -- .000202322s elapsed
 -- .000164312s elapsed
 -- .000175383s elapsed
 -- .000153722s elapsed
 -- .000141752s elapsed
 -- .000155573s elapsed
 -- .000164143s elapsed
 -- .000193373s elapsed
 -- .000229843s elapsed
 -- .000175232s elapsed
 -- .000127711s elapsed
 -- .000197653s elapsed
 -- .000117141s elapsed
 -- .000123792s elapsed
 -- .000122622s elapsed
 -- .000117882s elapsed
 -- .000135251s elapsed
 -- .000137052s elapsed
 -- .000135832s elapsed
 -- .000128351s elapsed
 -- .000123101s elapsed
 -- .000130931s elapsed
 -- .000113852s elapsed
 -- .000131451s elapsed
 -- .000122332s elapsed
 -- .000113611s 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.