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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)
 -- 0.0308776 seconds elapsed
 -- 0.0290961 seconds elapsed
 -- 0.000262318 seconds elapsed
 -- 0.000247006 seconds elapsed
 -- 0.000247318 seconds elapsed
 -- 0.000238208 seconds elapsed
 -- 0.000232963 seconds elapsed
 -- 0.000242116 seconds elapsed
 -- 0.000288473 seconds elapsed
 -- 0.000297355 seconds elapsed
 -- 0.000250845 seconds elapsed
 -- 0.000248254 seconds elapsed
 -- 0.000236087 seconds elapsed
 -- 0.000238719 seconds elapsed
 -- 0.000238702 seconds elapsed
 -- 0.000278892 seconds elapsed
 -- 0.000255305 seconds elapsed
 -- 0.00023445 seconds elapsed
 -- 0.000252188 seconds elapsed
 -- 0.000250137 seconds elapsed
 -- 0.000288016 seconds elapsed
 -- 0.000251083 seconds elapsed
 -- 0.000228302 seconds elapsed
 -- 0.000220773 seconds elapsed
 -- 0.000224884 seconds elapsed
 -- 0.000234122 seconds elapsed
 -- 0.000225011 seconds elapsed
 -- 0.0002209 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.