HS.2

{L_{3}(4).2_{3} ≤ \atop L_{3}(4).2^{2}} 2200 {1a^{+} + 22a^{±} + 77a^{±} + 175a^{+} + 231a^{−} + \atop 770a^{−} + 825a^{+}} 9

Character Numbers: [ 1, 3, 4, 5, 6, 10, 13, 17, 19 ]

S_{1} S_{2} S_{3} S_{4} S_{5} S_{6} S_{7}  S_{8} S_{9}
χ_{1} 1 1 42 42 105 105 560 672 672
χ_{2} 1 1 12 12 −45 −45 160 −48 −48
χ_{3} 1 −1 −28 28 −35 35  0 −112 112
χ_{4} 1 1 22 22  5  5 −40 −8 −8
χ_{5} 1 −1 −18 18 15 −15  0  48 −48
χ_{6} 1 1 −2 −2 17 17 32 −32 −32
χ_{7} 1 −1  2 −2 15 −15  0 −32 32
χ_{8} 1 −1  2 −2 −5  5  0  8 −8
χ_{9} 1 1 −2 −2 −3 −3 −8  8  8

Ramanujan Graphs: [ 2, 3, 4, 5, 6, 7, 8, 9 ], [ 2, 3, 4, 5, 7, 8, 9 ], [ 2, 3, 4, 6, 7, 8, 9 ], [ 2, 3, 4, 7, 8, 9 ], [ 2, 3, 4, 8, 9 ], [ 2, 3, 5, 6, 7, 8, 9 ], [ 2, 3, 5, 7, 8, 9 ], [ 2, 3, 6, 7, 8, 9 ], [ 2, 3, 7, 8, 9 ], [ 2, 4, 5, 6, 7, 8, 9 ], [ 2, 4, 5, 7, 8, 9 ], [ 2, 4, 6, 7, 8, 9 ], [ 2, 4, 7, 8, 9 ], [ 2, 5, 6, 7, 8, 9 ], [ 2, 5, 7, 8, 9 ], [ 2, 6, 7, 8, 9 ], [ 2, 7, 8, 9 ], [ 3, 4, 5, 6, 7, 8, 9 ], [ 3, 4, 5, 7, 8, 9 ], [ 3, 4, 6, 7, 8, 9 ], [ 3, 4, 7, 8, 9 ], [ 3, 4, 8, 9 ], [ 3, 5, 6, 7, 8, 9 ], [ 3, 5, 7, 8, 9 ], [ 3, 6, 7, 8, 9 ], [ 3, 7, 8, 9 ], [ 4, 5, 6, 7, 8, 9 ], [ 4, 5, 7, 8, 9 ], [ 4, 6, 7, 8, 9 ], [ 4, 7, 8, 9 ], [ 5, 6, 7, 8, 9 ], [ 5, 7, 8, 9 ], [ 6, 7, 8, 9 ], [ 7, 8, 9 ]