F i_{22}

2F_{4}(2)′ 3592512 1a + 1001a + 1430a + 13650a + 30030a + 289575a

+ 400400ab + 579150a + 675675a + 1201200a

11

Character Numbers: [ 1, 4, 5, 9, 10, 26, 31, 32, 39, 45, 53 ]

S_{1}  S_{2}  S_{3}  S_{4}  S_{5}  S_{6}  S_{7}  S_{8}  S_{9}  S_{10}  S_{11}
χ_{1} 1 1755 11700 14976 83200 83200 140400 187200 374400 449280 2246400
χ_{2} 1 −405 900 −576 −3200 −3200 −10800 14400 −14400 17280 0
χ_{3} 1 −189 1980 −576 5440 5440  4320 −7200 −14400 13824 −8640
χ_{4} 1 171  612 −864  832  832  1008  3456  3744 −576 −9216
χ_{5} 1  99  540  576 −320 −320 −1440 −1440  2880  2304 −2880
χ_{6} 1  75 −60  192 −128 −128  624  384  −576  384  −768
χ_{7} 1  27  36 −144 −608  256  0 −288  −144  0  864
χ_{8} 1  27  36 −144  256 −608  0 −288  −144  0  864
χ_{9} 1 −21  132  96  64  64  −48  192  −288 −960  768
χ_{10} 1  27 −108  0  256  256  −432  0  0  0  0
χ_{11} 1 −45 −36  0  −32  −32  144  0  288  288  −576

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