HS.2

{L_{3}(4).2_{1}  ≤ \atop L_{3}(4).2^{2}} 2200 1a^{±} + 22a^{±} + 77a^{±} + 175a^{±} + 825a^{±}  10

Character Numbers: [ 1, 2, 3, 4, 5, 6, 10, 11, 19, 20 ]

S_{1} S_{2} S_{3} S_{4} S_{5}  S_{6} S_{7}  S_{8} S_{9} S_{10}
χ_{1} 1 1 42 42 105 105 280 280 672 672
χ_{2} 1 −1 −42 42 105 −105 280 −280 672 −672
χ_{3} 1 1 12 12 −45 −45 80  80 −48 −48
χ_{4} 1 −1 −12 12 −45  45 80 −80 −48  48
χ_{5} 1 1 22 22  5  5 −20 −20 −8 −8
χ_{6} 1 −1 −22 22  5 −5 −20  20 −8  8
χ_{7} 1 1 −2 −2 17  17 16  16 −32 −32
χ_{8} 1 −1  2 −2 17 −17 16 −16 −32  32
χ_{9} 1 1 −2 −2 −3 −3 −4 −4  8  8
χ_{10} 1 −1  2 −2 −3  3 −4  4  8 −8

Ramanujan Graphs: [ 2, 3, 4, 5, 6, 7, 8, 9, 10 ], [ 2, 3, 4, 7, 8, 9, 10 ], [ 2, 3, 4, 9, 10 ], [ 2, 3, 5, 6, 7, 8, 9, 10 ], [ 2, 3, 5, 7, 8, 9, 10 ], [ 2, 3, 6, 8, 10 ], [ 2, 3, 7, 8, 9, 10 ], [ 2, 3, 8, 10 ], [ 2, 3, 10 ], [ 2, 4, 5, 6, 7, 8, 9, 10 ], [ 2, 4, 6, 7, 8, 9, 10 ], [ 2, 4, 7, 8, 9, 10 ], [ 2, 5, 6, 7, 8, 9, 10 ], [ 2, 6, 8 ], [ 2, 6, 8, 10 ], [ 2, 7, 8, 9, 10 ], [ 2, 8, 10 ], [ 2, 10 ], [ 3, 4, 5, 6, 7, 8, 9, 10 ], [ 3, 4, 7, 8, 9, 10 ], [ 3, 4, 9, 10 ], [ 3, 5, 6, 7, 8, 9, 10 ], [ 3, 5, 7, 8, 9, 10 ], [ 3, 6, 8, 10 ], [ 3, 7, 8, 9, 10 ], [ 3, 8, 10 ], [ 3, 10 ], [ 4, 5, 6, 7, 8, 9, 10 ], [ 4, 5, 7, 9 ], [ 4, 6, 7, 8, 9, 10 ], [ 4, 7, 8, 9, 10 ], [ 4, 7, 9 ], [ 4, 9 ], [ 5, 6, 7, 8, 9, 10 ], [ 5, 7 ], [ 5, 7, 9 ], [ 6, 8 ], [ 6, 8, 10 ], [ 7, 8, 9, 10 ], [ 7, 9 ], [ 8, 10 ], [ 9 ], [ 10 ]