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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)
 -- 0.00636845 seconds elapsed
 -- 0.0123148 seconds elapsed
 -- 0.000212933 seconds elapsed
 -- 0.00016321 seconds elapsed
 -- 0.000133585 seconds elapsed
 -- 0.00013314 seconds elapsed
 -- 0.000124388 seconds elapsed
 -- 0.000128635 seconds elapsed
 -- 0.000155451 seconds elapsed
 -- 0.000175362 seconds elapsed
 -- 0.000153793 seconds elapsed
 -- 0.000148723 seconds elapsed
 -- 0.000131035 seconds elapsed
 -- 0.000136703 seconds elapsed
 -- 0.000130003 seconds elapsed
 -- 0.000124623 seconds elapsed
 -- 0.000147618 seconds elapsed
 -- 0.000127572 seconds elapsed
 -- 0.000151781 seconds elapsed
 -- 0.000145669 seconds elapsed
 -- 0.000157137 seconds elapsed
 -- 0.000145105 seconds elapsed
 -- 0.000152823 seconds elapsed
 -- 0.000141059 seconds elapsed
 -- 0.000128068 seconds elapsed
 -- 0.000130902 seconds elapsed
 -- 0.000132598 seconds elapsed
 -- 0.000133288 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.