F i_{22}.2

2F_{4}(2)′.2 3592512 1a^{+} + 1001a^{+} + 1430a^{+} + 13650a^{+}

+ 30030a^{+} + 289575a^{−} + 400400ab +
579150a^{+} + 675675a^{−} + 1201200a^{−}

10

Character Numbers: [ 1, 7, 9, 17, 19, 49, 58, 68, 75, 88 ]

S_{1}  S_{2}  S_{3}  S_{4}  S_{5}  S_{6}  S_{7}  S_{8}  S_{9}  S_{10}
χ_{1} 1 1755 11700 14976 140400 166400 187200 374400 449280 2246400
χ_{2} 1 −405 900 −576 −10800 −6400 14400 −14400 17280  0
χ_{3} 1 −189 1980 −576  4320 10880 −7200 −14400 13824 −8640
χ_{4} 1 171 612 −864  1008 1664 3456  3744 −576 −9216
χ_{5} 1  99 540 576 −1440 −640 −1440  2880 2304 −2880
χ_{6} 1  75 −60 192  624 −256  384 −576  384  −768
χ_{7} 1  27  36 −144  0 −352 −288 −144  0  864
χ_{8} 1 −21 132  96  −48  128  192 −288 −960  768
χ_{9} 1  27 −108  0 −432  512  0  0  0  0
χ_{10} 1 −45 −36  0  144  −64  0  288  288  −576

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