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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)
 -- 0.0101892 seconds elapsed
 -- 0.0438569 seconds elapsed
 -- 0.000291102 seconds elapsed
 -- 0.000202917 seconds elapsed
 -- 0.000197007 seconds elapsed
 -- 0.000195283 seconds elapsed
 -- 0.000189693 seconds elapsed
 -- 0.00020403 seconds elapsed
 -- 0.000242411 seconds elapsed
 -- 0.000246839 seconds elapsed
 -- 0.000215902 seconds elapsed
 -- 0.000197227 seconds elapsed
 -- 0.000205592 seconds elapsed
 -- 0.000207186 seconds elapsed
 -- 0.00019354 seconds elapsed
 -- 0.000210522 seconds elapsed
 -- 0.000206755 seconds elapsed
 -- 0.000202828 seconds elapsed
 -- 0.000222024 seconds elapsed
 -- 0.000225679 seconds elapsed
 -- 0.000223466 seconds elapsed
 -- 0.000243503 seconds elapsed
 -- 0.000266466 seconds elapsed
 -- 0.00018234 seconds elapsed
 -- 0.000190535 seconds elapsed
 -- 0.0001932 seconds elapsed
 -- 0.00019384 seconds elapsed
 -- 0.000250136 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.