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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)
 -- 0.0499355 seconds elapsed
 -- 0.0236989 seconds elapsed
 -- 0.000271974 seconds elapsed
 -- 0.000274556 seconds elapsed
 -- 0.000205937 seconds elapsed
 -- 0.000188443 seconds elapsed
 -- 0.00019104 seconds elapsed
 -- 0.000194945 seconds elapsed
 -- 0.000210237 seconds elapsed
 -- 0.000218157 seconds elapsed
 -- 0.00023253 seconds elapsed
 -- 0.000193116 seconds elapsed
 -- 0.00018683 seconds elapsed
 -- 0.00019045 seconds elapsed
 -- 0.00017317 seconds elapsed
 -- 0.000169735 seconds elapsed
 -- 0.000199678 seconds elapsed
 -- 0.000204631 seconds elapsed
 -- 0.000208533 seconds elapsed
 -- 0.000207908 seconds elapsed
 -- 0.000211075 seconds elapsed
 -- 0.000233624 seconds elapsed
 -- 0.000222668 seconds elapsed
 -- 0.000175966 seconds elapsed
 -- 0.000178654 seconds elapsed
 -- 0.00017343 seconds elapsed
 -- 0.000164844 seconds elapsed
 -- 0.000166648 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.