HS

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

Character Numbers: [ 1, 2, 3, 7, 13 ]

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 ]