The Lattice Ho5
Contents of this file
NAME
DIM
GRAM
PROPERTIES
NOTES
REFERENCES
LAST_LINE
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NAME
Ho5
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DIM
5
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GRAM
5 5
Sqrt(13) + 3 1/2*(Sqrt(13) + 3) 1/3*(-Sqrt(13) - 1) 1/3*(-Sqrt(13) - 4) 1/3*(-Sqrt(13) - 4)
1/2*(Sqrt(13) + 3) Sqrt(13) + 3 1/3*(-Sqrt(13) - 4) 1/2*(-Sqrt(13) - 3) 1/3*(-Sqrt(13) - 1)
1/3*(-Sqrt(13) - 1) 1/3*(-Sqrt(13) - 4) Sqrt(13) + 3 1/6*(-Sqrt(13) - 1) 1/6*(-Sqrt(13) - 1)
1/3*(-Sqrt(13) - 4) 1/2*(-Sqrt(13) - 3) 1/6*(-Sqrt(13) - 1) Sqrt(13) + 3 -1
1/3*(-Sqrt(13) - 4) 1/3*(-Sqrt(13) - 1) 1/6*(-Sqrt(13) - 1) -1 Sqrt(13) + 3
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PROPERTIES
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NOTES
Best sphere packing-covering in dimension 5 (found by Horvath, 1986)
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REFERENCES
Computational approaches to lattice packing and covering problems, Section 11
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