McL.2

\begin{matrix}3^{1+4} : 2S_{5} \\ ≤ 3^{1+4} : 4S_{5} \end{matrix} 30800 1a^{±} + 252a^{±} + 4500a^{±} + 5103a^{±} + 5544a^{±} 10

Character Numbers: [ 1, 2, 7, 8, 20, 21, 24, 25, 26, 27 ]

S_{1} S_{2} S_{3} S_{4} S_{5}  S_{6} S_{7}  S_{8}  S_{9}  S_{10}
χ_{1} 1 1 90 90 1215 1215 2430 2430 11664 11664
χ_{2} 1 −1 90 −90 1215 −1215 2430 −2430 11664 −11664
χ_{3} 1 1 35 35 225  225 −45 −45 −216 −216
χ_{4} 1 −1 35 −35 225 −225 −45  45 −216  216
χ_{5} 1 1 −1 −1 −3  −3 −69 −69  72  72
χ_{6} 1 −1 −1  1 −3  3 −69  69  72  −72
χ_{7} 1 1 10 10 −25 −25 30  30 −16  −16
χ_{8} 1 −1 10 −10 −25  25 30 −30 −16  16
χ_{9} 1 1 −10 −10 15  15 30  30 −36  −36
χ_{10} 1 −1 −10 10 15 −15 30 −30 −36  36

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