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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)
 -- 0.0234203 seconds elapsed
 -- 0.0171925 seconds elapsed
 -- 0.000272186 seconds elapsed
 -- 0.000195786 seconds elapsed
 -- 0.000189802 seconds elapsed
 -- 0.000171857 seconds elapsed
 -- 0.000162719 seconds elapsed
 -- 0.000183071 seconds elapsed
 -- 0.000212901 seconds elapsed
 -- 0.000204821 seconds elapsed
 -- 0.000206083 seconds elapsed
 -- 0.000204181 seconds elapsed
 -- 0.000178764 seconds elapsed
 -- 0.000171137 seconds elapsed
 -- 0.000160689 seconds elapsed
 -- 0.000166125 seconds elapsed
 -- 0.000173014 seconds elapsed
 -- 0.000168012 seconds elapsed
 -- 0.000185081 seconds elapsed
 -- 0.000173521 seconds elapsed
 -- 0.000189448 seconds elapsed
 -- 0.00017475 seconds elapsed
 -- 0.000164464 seconds elapsed
 -- 0.000154515 seconds elapsed
 -- 0.000157275 seconds elapsed
 -- 0.000172809 seconds elapsed
 -- 0.000231212 seconds elapsed
 -- 0.000176316 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.