HS.2

L_{3}(4).2^{2}  1100 1a^{+} + 22a^{+} + 77a^{+} + 175a^{+} + 825a^{+}  5

Character Numbers: [ 1, 3, 5, 10, 19 ]

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

Ramanujan Graphs: [ 2, 3, 4, 5 ], [ 2, 4, 5 ], [ 2, 5 ], [ 3, 4 ], [ 3, 4, 5 ], [ 4, 5 ], [ 5 ]