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K3Carpets :: carpetDet

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)
 -- 0.0101027 seconds elapsed
 -- 0.0238829 seconds elapsed
 -- 0.00028285 seconds elapsed
 -- 0.000154804 seconds elapsed
 -- 0.000238016 seconds elapsed
 -- 0.000132379 seconds elapsed
 -- 0.000240194 seconds elapsed
 -- 0.000306489 seconds elapsed
 -- 0.000289404 seconds elapsed
 -- 0.000285609 seconds elapsed
 -- 0.000259049 seconds elapsed
 -- 0.00025564 seconds elapsed
 -- 0.000242809 seconds elapsed
 -- 0.000236266 seconds elapsed
 -- 0.000148431 seconds elapsed
 -- 0.000220225 seconds elapsed
 -- 0.000395758 seconds elapsed
 -- 0.00022857 seconds elapsed
 -- 0.000257116 seconds elapsed
 -- 0.000306996 seconds elapsed
 -- 0.000263979 seconds elapsed
 -- 0.000322495 seconds elapsed
 -- 0.000298569 seconds elapsed
 -- 0.000225123 seconds elapsed
 -- 0.000402454 seconds elapsed
 -- 0.000237243 seconds elapsed
 -- 0.000295891 seconds elapsed
 -- 0.000216332 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.