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{'aut': 12, 'base_label': '3.382.764.15', 'class_number': 15, 'comments': 'This lattice appears in the Brandt-Intrau-Schiemann Table of Even Ternary Quadratic Forms', 'density': {'__RealLiteral__': 0, 'data': '0.0757725554770268716288811050738', 'prec': 110}, 'det': 382, 'dim': 3, 'genus_reps': [[[2, 1, 1], [1, 2, 1], [1, 1, 128]], [[2, 1, 0], [1, 14, -5], [0, -5, 16]], [[2, 0, 0], [0, 12, 1], [0, 1, 16]], [[2, 0, 1], [0, 10, -2], [1, -2, 20]], [[2, 0, 0], [0, 12, 5], [0, 5, 18]], [[2, 0, 0], [0, 8, 1], [0, 1, 24]], [[2, 0, 0], [0, 10, 3], [0, 3, 20]], [[2, 1, 1], [1, 8, 1], [1, 1, 26]], [[2, 0, -1], [0, 2, 0], [-1, 0, 96]], [[6, -3, 1], [-3, 8, -1], [1, -1, 10]], [[4, 1, -2], [1, 6, 1], [-2, 1, 18]], [[2, 0, 0], [0, 4, 1], [0, 1, 48]], [[2, 1, 0], [1, 8, 2], [0, 2, 26]], [[2, 1, 0], [1, 12, -4], [0, -4, 18]], [[2, 0, 0], [0, 6, -1], [0, -1, 32]]], 'gram': [[2, 1, 1], [1, 2, 1], [1, 1, 128]], 'hermite': {'__RealLiteral__': 0, 'data': '0.275639978918378317868435647640', 'prec': 107}, 'index': 2, 'kissing': 6, 'label': '3.382.764.15.2', 'level': 764, 'minimum': 2, 'name': '', 'shortest': [[1, -1, 0], [1, 0, 0], [0, 1, 0]], 'theta_series': [1, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 12, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 12, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 12, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 12, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 12, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 18, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 12, 0, 12, 0, 6, 0, 12, 0, 12, 0, 12, 0, 6, 0, 12, 0, 0, 0, 6, 0, 24, 0, 12, 0, 6]}