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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)
 -- 0.0266394 seconds elapsed
 -- 0.0292874 seconds elapsed
 -- 0.000293391 seconds elapsed
 -- 0.000280959 seconds elapsed
 -- 0.000262271 seconds elapsed
 -- 0.000261167 seconds elapsed
 -- 0.00027718 seconds elapsed
 -- 0.000273376 seconds elapsed
 -- 0.000324885 seconds elapsed
 -- 0.000345103 seconds elapsed
 -- 0.000295863 seconds elapsed
 -- 0.000281102 seconds elapsed
 -- 0.000278381 seconds elapsed
 -- 0.000271429 seconds elapsed
 -- 0.00025782 seconds elapsed
 -- 0.000285715 seconds elapsed
 -- 0.000362978 seconds elapsed
 -- 0.000249861 seconds elapsed
 -- 0.000278255 seconds elapsed
 -- 0.000279026 seconds elapsed
 -- 0.000309572 seconds elapsed
 -- 0.000286537 seconds elapsed
 -- 0.000257247 seconds elapsed
 -- 0.000277704 seconds elapsed
 -- 0.000250015 seconds elapsed
 -- 0.000252283 seconds elapsed
 -- 0.000259913 seconds elapsed
 -- 0.000248695 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.