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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)
 -- 0.0105184 seconds elapsed
 -- 0.036111 seconds elapsed
 -- 0.000286463 seconds elapsed
 -- 0.000236624 seconds elapsed
 -- 0.000200922 seconds elapsed
 -- 0.000184475 seconds elapsed
 -- 0.000184169 seconds elapsed
 -- 0.000205657 seconds elapsed
 -- 0.00020953 seconds elapsed
 -- 0.000236262 seconds elapsed
 -- 0.000201419 seconds elapsed
 -- 0.000203212 seconds elapsed
 -- 0.000189872 seconds elapsed
 -- 0.000194879 seconds elapsed
 -- 0.000175117 seconds elapsed
 -- 0.000192132 seconds elapsed
 -- 0.000183666 seconds elapsed
 -- 0.000179528 seconds elapsed
 -- 0.000220011 seconds elapsed
 -- 0.000196298 seconds elapsed
 -- 0.000203848 seconds elapsed
 -- 0.000224709 seconds elapsed
 -- 0.000209525 seconds elapsed
 -- 0.000170242 seconds elapsed
 -- 0.000170516 seconds elapsed
 -- 0.000185101 seconds elapsed
 -- 0.000182482 seconds elapsed
 -- 0.000196036 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.