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| | Gordon Nipp's Tables of Quinary Quadratic Forms |
 | | Based on results of Minkowski [1] and van der Waerden [6] and beginning with the quaternary forms through discriminant 1296 contained in Nipp [2] (ample to ensure completeness), we generated successive large collections of reduced quinary forms containing forms in all possible quinary classes through d=513 (the discriminant is that of Watson [7]). |
 | | Grouping into classes and choosing a representative of each class was accomplished using a well-tested computer program described for the quaternary case in [2], and a similar program was used to compute the number of automorphs for each such representative. |
 | | In general, the coefficients for a quinary form are given in the order a11,a22,a33,a44,a55,a12,a13,a23,a14,a24,a34,a15,a25,a35,a45 where aij is the coefficient of xixj. |
| www.research.att.com /~njas/lattices/nipp5.html (614 words) |
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