HS.2

A_{8}.2 ≤ A_{8}.2 × 2 2200 1a^{±} + 77a^{±} + 154a^{±} + 175a^{±} + 693a^{±} 10

Character Numbers: [ 1, 2, 5, 6, 7, 8, 10, 11, 14, 15 ]

S_{1} S_{2} S_{3} S_{4}  S_{5} S_{6}  S_{7} S_{8} S_{9} S_{10}
χ_{1} 1 1 28 28 105 105 336 336 630 630
χ_{2} 1 −1 −28 28 −105 105 −336 336 630 −630
χ_{3} 1 1 −12 −12 25 25 16 16 −30 −30
χ_{4} 1 −1 12 −12 −25 25 −16 16 −30  30
χ_{5} 1 1  8  8  15 15 −24 −24  0  0
χ_{6} 1 −1 −8  8 −15 15  24 −24  0  0
χ_{7} 1 1  6  6 −5 −5  28 28 −30 −30
χ_{8} 1 −1 −6  6  5 −5 −28 28 −30  30
χ_{9} 1 1 −2 −2 −5 −5 −4 −4 10  10
χ_{10} 1 −1  2 −2  5 −5  4 −4 10 −10

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