HS.2

U_{3}(5) ≤ U_{3}(5).2 704 1a^{±} + 22a^{±} + 154bc + 175a^{±} 7

Character Numbers: [ 1, 2, 3, 4, 9, 10, 11 ]

S_{1} S_{2} S_{3} S_{4} S_{5} S_{6}  S_{7}
χ_{1} 1 1 50 50 175 175 252
χ_{2} 1 1 −50 −50 175 175 −252
χ_{3} 1 −1 −20 20 35 −35  0
χ_{4} 1 −1 20 −20 35 −35  0
χ_{5} 1 −1  0  0 −5  5  0
χ_{6} 1 1  6  6 −1 −1 −12
χ_{7} 1 1 −6 −6 −1 −1  12

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