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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)
 -- 0.0229666 seconds elapsed
 -- 0.0141417 seconds elapsed
 -- 0.000209031 seconds elapsed
 -- 0.00012036 seconds elapsed
 -- 0.000121401 seconds elapsed
 -- 0.000118221 seconds elapsed
 -- 0.000125421 seconds elapsed
 -- 0.00011978 seconds elapsed
 -- 0.00013558 seconds elapsed
 -- 0.000147761 seconds elapsed
 -- 0.00012871 seconds elapsed
 -- 0.0001145 seconds elapsed
 -- 0.00010903 seconds elapsed
 -- 0.00012807 seconds elapsed
 -- 0.00011007 seconds elapsed
 -- 0.00011251 seconds elapsed
 -- 0.000143992 seconds elapsed
 -- 0.000130011 seconds elapsed
 -- 0.000195731 seconds elapsed
 -- 0.00013101 seconds elapsed
 -- 0.000138681 seconds elapsed
 -- 0.000122691 seconds elapsed
 -- 0.000112512 seconds elapsed
 -- 0.000114971 seconds elapsed
 -- 0.000116401 seconds elapsed
 -- 0.000110201 seconds elapsed
 -- 0.000114731 seconds elapsed
 -- 0.0001052 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.