HS

4^{3} : L_{3}(2) 4125 1a + 22a + 77a + 154a + 175a + 693a + 770a + 825a + 1408a

9

Character Numbers: [ 1, 2, 3, 4, 7, 9, 10, 13, 18 ]

S_{1} S_{2} S_{3} S_{4} S_{5} S_{6}  S_{7}  S_{8}  S_{9}
χ_{1} 1 28 64 112 336 448 896 896 1344
χ_{2} 1 −7 −36 42 −84 168 −224  56  84
χ_{3} 1 13 14 32  6 28  16 −164  54
χ_{4} 1 13  4 22 36 −32 −64  56 −36
χ_{5} 1 −5 20 2  6 52  16  16 −108
χ_{6} 1 3  4 2 −34 −12  16  16  4
χ_{7} 1 −7 −6 12  6 −12  16 −4 −6
χ_{8} 1 5 −10 −8  6 12  16 −4 −18
χ_{9} 1 −2  4 −8  6 −2 −19 −4  24

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