McL.2

\begin{matrix}3^{1+4} : 2S_{5} \\ ≤ 3^{1+4} : 4S_{5} \end{matrix} 30800 {1a^{+} + 231a^{−} + 252a^{+} + 4500a^{+} + 5103a^{+} \atop + 5544a^{±} + 9625a^{−}} 8

Character Numbers: [ 1, 6, 7, 20, 24, 26, 27, 31 ]

S_{1} S_{2} S_{3} S_{4} S_{5}  S_{6}  S_{7}  S_{8}
χ_{1} 1 1 180 1215 1215 4860 11664 11664
χ_{2} 1 −1 0 45 −45 0 864 −864
χ_{3} 1 1 70 225 225 −90 −216 −216
χ_{4} 1 1 −2 −3 −3 −138 72 72
χ_{5} 1 1 20 −25 −25  60 −16 −16
χ_{6} 1 1 −20 15 15  60 −36 −36
χ_{7} 1 −1  0 45 −45  0 −36  36
χ_{8} 1 −1  0 −27 27  0  0  0

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