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A256856
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Theta series of 4-dimensional 21-modular lattice A2xT7 with minimal norm 4.
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0
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1, 0, 6, 0, 12, 12, 6, 24, 18, 0, 24, 12, 12, 24, 66, 12, 48, 36, 6, 24, 60, 24, 60, 36, 18, 48, 60, 0, 156, 48, 24, 48, 102, 12, 72, 132, 12, 48, 96, 24, 144, 60, 66, 72, 132, 12, 108, 72, 48, 168, 138, 36, 144, 72, 6, 120, 342, 24, 132, 72, 60, 96, 144, 24
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OFFSET
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0,3
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LINKS
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EXAMPLE
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G.f. = 1 + 6*x^2 + 12*x^4 + 12*x^5 + 6*x^6 + 24*x^7 + 18*x^8 + 24*x^10 + ...
G.f. = 1 + 6*q^4 + 12*q^8 + 12*q^10 + 6*q^12 + 24*q^14 + 18*q^16 + 24*q^20 + ...
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PROG
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(PARI) {a(n) = if( n<0, 0, polcoeff( 1 + 2 * x * Ser( qfrep( [4, 2, 2, 1; 2, 4, 1, 2; 2, 1, 8, 4; 1, 2, 4, 8], n, 1)), n))};
(Magma) A := Basis( ModularForms( Gamma0(21), 2), 64); A[1] + 6*A[3];
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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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