F i_{22}.2

{O_{8}^{+}(2).2 ≤ \atop O_{8}^{+}(2).3.2 × 2} 370656 {1a^{±} + 429a^{±} + 3080a^{±} + 13650a^{±} + \atop 45045a^{±} + 48048a^{±} + 75075a^{±}} 14

Character Numbers: [ 1, 2, 5, 6, 13, 14, 17, 18, 25, 26, 27, 28, 33, 34 ]

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}
χ_{1} 1 1 2 2 1575 1575 3150 3150 22400 22400 44800 44800 113400 113400
χ_{2} 1 −1 2 −2 −1575 1575 −3150 3150 22400 −22400 44800 −44800 −113400 113400
χ_{3} 1 1 −1 −1  315 315 −315 −315 2240  2240 −2240 −2240  0  0
χ_{4} 1 −1 −1 1 −315 315  315 −315 2240 −2240 −2240  2240  0  0
χ_{5} 1 1 2 2  171 171  342 342 −64  −64 −128 −128  −324 −324
χ_{6} 1 −1 2 −2 −171 171 −342 342 −64  64 −128  128  324 −324
χ_{7} 1 1 2 2  −9 −9 −18 −18 224  224  448  448  −648 −648
χ_{8} 1 −1 2 −2  9 −9  18 −18 224 −224  448 −448  648 −648
χ_{9} 1 1 2 2  −9 −9 −18 −18 −64  −64 −128 −128  216  216
χ_{10} 1 −1 2 −2  9 −9  18 −18 −64  64 −128  128  −216  216
χ_{11} 1 1 −1 −1 −45 −45  45  45  80  80 −80  −80  0  0
χ_{12} 1 −1 −1 1  45 −45 −45  45  80  −80 −80  80  0  0
χ_{13} 1 1 −1 −1  27 27 −27 −27 −64  −64  64  64  0  0
χ_{14} 1 −1 −1 1 −27 27  27 −27 −64  64  64  −64  0  0

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