HS.2

M_{11} 11200 1a^{±} + 22a^{±} + 77a^{±} + 154bc + 175a^{±} +

770a^{±} + 825a^{±} + 1056a^{±} + 2520a^{±}

17

Character Numbers: [ 1, 2, 3, 4, 5, 6, 9, 10, 11, 16, 17, 19 , 20, 22, 23, 34, 35 ]

S_{1} S_{2} S_{3}  S_{4} S_{5} S_{6}  S_{7}  S_{8} S_{9} S_{10} S_{11} S_{12} S_{13}  S_{14} S_{15}  S_{16} S_{17}
χ_{1} 1 12 55 110 132 165 330 396 495 660 660 792 792 1320 1320 1980 1980
χ_{2} 1 −12 55 −110 132 165 −330 −396 495 660 −660 −792 792 −1320 1320 −1980 1980
χ_{3} 1 −8  5  60 52 −85 −20  96 195 −140 −40 −288  72  320 −280 −120 180
χ_{4} 1  8  5 −60 52 −85  20 −96 195 −140  40 288  72 −320 −280  120 180
χ_{5} 1  7 −20  35 37 40  55 −54 45  85 −140  72 −138  70 −80 −45  30
χ_{6} 1 −7 −20 −35 37 40 −55  54 45  85 140 −72 −138 −70 −80  45  30
χ_{7} 1  0 −19  0 −12 −21  0  0 27  84  0  0  72  0 −24  0 −108
χ_{8} 1  4  7  26  4 37 −50  36 63 −44  28  72  24  −8  40 −108 −132
χ_{9} 1 −4  7 −26  4 37  50 −36 63 −44 −28 −72  24  8  40  108 −132
χ_{10} 1 −5 −4  15 13 −16 −5 −30 −3 −11  20  0 −18 −10  56  15 −18
χ_{11} 1  5 −4 −15 13 −16  5  30 −3 −11 −20  0 −18  10  56 −15 −18
χ_{12} 1 −1 12  11 −11 −8  15  26 13  21 −12 −8 −26 −58  0  27 −2
χ_{13} 1  1 12 −11 −11 −8 −15 −26 13  21  12  8 −26  58  0 −27 −2
χ_{14} 1  5  6  5 13  4  15 −10 −23  9  30 −20  22 −10 −24 −15 −8
χ_{15} 1 −5  6 −5 13  4 −15  10 −23  9 −30  20  22  10 −24  15 −8
χ_{16} 1 r5 −4  r5 −7  4 −7r5 −2r5 −3 −11 −4r5 −4r5  2 −2r5 −4 17r5  22
χ_{17} 1 −r5 −4 −r5 −7  4 7r5 2r5 −3 −11 4r5 4r5  2  2r5 −4 −17r5  22

Ramanujan Graphs: [ 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 3, 4, 5, 6, 9, 10, 11, 12, 14, 15, 16, 17 ], [ 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 3, 4, 5, 8, 9, 10, 12, 14, 15, 16, 17 ], [ 2, 3, 4, 5, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 17 ], [ 2, 3, 4, 6, 9, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 3, 4, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 3, 4, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 3, 4, 8, 9, 10, 12, 14, 15, 16, 17 ], [ 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 3, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17 ], [ 2, 3, 5, 6, 8, 12, 13, 14, 15, 16, 17 ], [ 2, 3, 5, 6, 9, 12, 14, 15, 16, 17 ], [ 2, 3, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 3, 5, 7, 8, 10, 12, 13, 14, 15, 16, 17 ], [ 2, 3, 5, 7, 8, 11, 12, 14, 15, 17 ], [ 2, 3, 5, 8, 9, 10, 12, 14, 15, 16, 17 ], [ 2, 3, 5, 9, 10, 11, 12, 14, 15, 16, 17 ], [ 2, 3, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 3, 6, 8, 9, 10, 12, 14, 15, 16, 17 ], [ 2, 3, 6, 9, 11, 14, 15, 16, 17 ], [ 2, 3, 6, 9, 12, 14, 15, 16, 17 ], [ 2, 3, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 3, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 3, 8, 9, 10, 12, 14, 15, 16, 17 ], [ 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 4, 5, 6, 9, 10, 11, 12, 14, 15, 16, 17 ], [ 2, 4, 5, 7, 8, 11, 15, 16, 17 ], [ 2, 4, 5, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 4, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 4, 5, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 4, 6, 8, 9, 12, 13, 14, 15, 16, 17 ], [ 2, 4, 6, 9, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 4, 7, 8, 11, 12, 14 ], [ 2, 4, 7, 8, 11, 12, 14, 16 ], [ 2, 4, 7, 8, 12, 14, 16 ], [ 2, 4, 7, 8, 16 ], [ 2, 4, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 4, 7, 11 ], [ 2, 4, 7, 11, 12, 14 ], [ 2, 4, 7, 11, 12, 14, 16 ], [ 2, 4, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 4, 8, 9, 10, 12, 14, 15, 16, 17 ], [ 2, 4, 8, 11, 12, 14, 16 ], [ 2, 4, 8, 12, 14, 16 ], [ 2, 4, 8, 16 ], [ 2, 4, 11, 12, 14, 16 ], [ 2, 4, 16 ], [ 2, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17 ], [ 2, 5, 6, 8, 12, 13, 14, 15, 16, 17 ], [ 2, 5, 6, 9, 12, 14, 15, 16, 17 ], [ 2, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 5, 7, 8, 10, 12, 13, 14, 15, 16, 17 ], [ 2, 5, 8, 9, 10, 12, 14, 15, 16, 17 ], [ 2, 5, 9, 10, 11, 12, 14, 15, 16, 17 ], [ 2, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 2, 6, 8, 9, 10, 12, 14, 15, 16, 17 ], [ 2, 6, 9, 11, 14, 15, 16, 17 ], [ 2, 6, 9, 12, 14, 15, 16, 17 ], [ 2, 7, 8, 11, 12, 14 ], [ 2, 7, 8, 11, 12, 14, 16 ], [ 2, 7, 8, 12, 14, 16 ], [ 2, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17 ] , [ 2, 7, 11, 12, 14 ], [ 2, 8, 9, 10, 11, 12, 13, 14, 15, 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15, 16, 17 ], [ 3, 5, 6, 9, 13, 15, 17 ], [ 3, 5, 6, 10, 13, 17 ], [ 3, 5, 6, 13, 15, 17 ], [ 3, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 3, 5, 7, 8, 10, 12, 13, 14, 15, 16, 17 ], [ 3, 5, 7, 8, 11, 12, 14, 15, 17 ], [ 3, 5, 8, 9, 10, 12, 14, 15, 16, 17 ], [ 3, 5, 9, 10, 11, 12, 14, 15, 16, 17 ], [ 3, 5, 9, 10, 13, 15, 17 ], [ 3, 5, 9, 10, 15, 17 ], [ 3, 5, 10, 13, 15, 17 ], [ 3, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 3, 6, 8, 9, 10, 12, 14, 15, 16, 17 ], [ 3, 6, 9, 10, 13, 15, 17 ], [ 3, 6, 9, 10, 15, 17 ], [ 3, 6, 9, 11, 14, 15, 16, 17 ], [ 3, 6, 9, 12, 14, 15, 16, 17 ], [ 3, 6, 9, 13, 15, 17 ], [ 3, 6, 10, 13, 17 ], [ 3, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ] , [ 3, 7, 8, 11, 12, 14, 15, 17 ], [ 3, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 3, 8, 9, 10, 12, 14, 15, 16, 17 ], [ 3, 9, 10, 13, 15, 17 ], [ 3, 9, 10, 15, 17 ], [ 3, 9, 15, 17 ], [ 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ], [ 4, 5, 6, 9, 10, 11, 12, 14, 15, 16, 17 ], [ 4, 5, 7, 8, 9, 10, 11, 12, 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