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A125555
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Theta series of 4-dimensional lattice S(7) with Gram matrix [ 3, 1, 0, -1; 1, 3, 1, 0; 0, 1, 3, 1; -1, 0, 1, 3 ].
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1
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1, 0, 0, 8, 8, 8, 8, 0, 16, 16, 8, 16, 24, 24, 0, 32, 40, 16, 16, 24, 40, 8, 16, 32, 72, 48, 24, 48, 8, 48, 32, 48, 80, 64, 16, 8, 88, 48, 24, 64, 104, 48, 8, 48, 80, 104, 32, 80, 152, 0, 48, 112, 88, 64, 48, 96, 16, 112, 48, 88, 160, 72, 48, 16, 168, 112, 64, 96, 128, 128, 8, 96, 224
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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0,4
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LINKS
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EXAMPLE
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1 + 8*q^3 + 8*q^4 + 8*q^5 + 8*q^6 + 16*q^8 + 16*q^9 + 8*q^10 + 16*q^11 + 24*q^12 + ...
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PROG
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(Magma) D := LatticeDatabase(); L := Lattice(D, 77); L:MAGMA; LatticeWithBasis(4, \[ 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ], MatrixRing(IntegerRing(), 4) ! \[ 3, 1, 0, -1, 1, 3, 1, 0, 0, 1, 3, 1, -1, 0, 1, 3 ]) // John Cannon [Note: running this code in the Magma Calculator causes an error at the "L:MAGMA" statement, and the code does not produce the terms of the sequence. - Jon E. Schoenfield, Feb 20 2018]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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