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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)
 -- 0.0448721 seconds elapsed
 -- 0.0219977 seconds elapsed
 -- 0.000342518 seconds elapsed
 -- 0.000198099 seconds elapsed
 -- 0.000196977 seconds elapsed
 -- 0.00020397 seconds elapsed
 -- 0.000195545 seconds elapsed
 -- 0.000219789 seconds elapsed
 -- 0.000243022 seconds elapsed
 -- 0.000256978 seconds elapsed
 -- 0.000211193 seconds elapsed
 -- 0.000199311 seconds elapsed
 -- 0.000192198 seconds elapsed
 -- 0.000190074 seconds elapsed
 -- 0.000206395 seconds elapsed
 -- 0.000195514 seconds elapsed
 -- 0.000208078 seconds elapsed
 -- 0.000260635 seconds elapsed
 -- 0.000248953 seconds elapsed
 -- 0.000240057 seconds elapsed
 -- 0.000259955 seconds elapsed
 -- 0.000245608 seconds elapsed
 -- 0.00022556 seconds elapsed
 -- 0.000219459 seconds elapsed
 -- 0.00020942 seconds elapsed
 -- 0.000226001 seconds elapsed
 -- 0.000219218 seconds elapsed
 -- 0.000183412 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.