HS.2

\begin{matrix}4^{3} : L_{3}(2) \\ ≤ 4^{3} : (L_{3}(2)×2) \end{matrix} 8250 1a^{±} + 22a^{±} + 77a^{±} + 154a^{±} + 175a^{±} +

693a^{±} + 770a^{±} + 825a^{±} + 1408a^{±}

18

Character Numbers: [ 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 14, 15, 16, 17, 19, 20, 26, 27 ]

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}  S_{18}
χ_{1} 1 1 28 28 64 64 112 112 336 336 448 448 896 896 896 896 1344 1344
χ_{2} 1 −1 28 −28 −64 64 −112 112 −336 336 −448 448 −896 896 −896 896 1344 −1344
χ_{3} 1 1 −7 −7 −36 −36  42 42 −84 −84 168 168  56 −224 −224  56  84  84
χ_{4} 1 −1 −7  7 36 −36 −42 42  84 −84 −168 168 −56 −224 224  56  84 −84
χ_{5} 1 1 13 13 14 14  32 32  6  6  28 28 −164  16  16 −164  54  54
χ_{6} 1 −1 13 −13 −14 14 −32 32 −6  6 −28 28 164  16 −16 −164  54 −54
χ_{7} 1 1 13 13  4  4  22 22  36 36 −32 −32  56 −64 −64  56 −36 −36
χ_{8} 1 −1 13 −13 −4  4 −22 22 −36 36  32 −32 −56 −64  64  56 −36  36
χ_{9} 1 1 −5 −5 20 20  2 2  6  6  52 52  16  16  16  16 −108 −108
χ_{10} 1 −1 −5  5 −20 20 −2 2 −6  6 −52 52 −16  16 −16  16 −108  108
χ_{11} 1 1 3  3  4  4  2 2 −34 −34 −12 −12  16  16  16  16  4  4
χ_{12} 1 −1 3 −3 −4  4 −2 2  34 −34  12 −12 −16  16 −16  16  4  −4
χ_{13} 1 1 −7 −7 −6 −6  12 12  6  6 −12 −12 −4  16  16 −4 −6  −6
χ_{14} 1 −1 −7  7  6 −6 −12 12 −6  6  12 −12  4  16 −16 −4 −6  6
χ_{15} 1 1 5  5 −10 −10 −8 −8  6  6  12 12 −4  16  16 −4 −18 −18
χ_{16} 1 −1 5 −5 10 −10  8 −8 −6  6 −12 12  4  16 −16 −4 −18  18
χ_{17} 1 1 −2 −2  4  4 −8 −8  6  6 −2 −2 −4 −19 −19 −4  24  24
χ_{18} 1 −1 −2  2 −4  4  8 −8 −6  6  2 −2  4 −19  19 −4  24 −24

Ramanujan Graphs: [ 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 ], [ 2, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15, 16, 17, 18 ], [ 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 ], [ 2, 3, 4, 5, 6, 7, 11, 12, 13, 14, 15, 16, 17, 18 ], [ 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 ], [ 2, 3, 4, 5, 6, 8, 11, 12, 13, 14, 15, 16, 17, 18 ], [ 2, 3, 4, 5, 6, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 ], [ 2, 3, 4, 5, 6, 11, 12, 13, 14, 15, 16, 17, 18 ], [ 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 ], [ 2, 3, 4, 5, 7, 8, 13, 14, 15, 16, 17, 18 ], [ 2, 3, 4, 5, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 ], [ 2, 3, 4, 5, 7, 10, 11, 12, 13, 14, 15, 16, 17, 18 ], [ 2, 3, 4, 5, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 ], [ 2, 3, 4, 5, 8, 11, 12, 13, 14, 15, 16, 17, 18 ], [ 2, 3, 4, 5, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 ], [ 2, 3, 4, 5, 11, 12, 13, 14, 15, 16, 17, 18 ], [ 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 ], [ 2, 3, 4, 6, 7, 8, 13, 14, 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