F i_{22}

2^{6} : S_{6}(2) 694980 1a + 429a + 1430a + 3080a + 13650a +

30030a + 45045a + 75075a + 205920a + 320320a

10

Character Numbers: [ 1, 3, 5, 7, 9, 10, 13, 17, 25, 28 ]

S_{1} S_{2} S_{3}  S_{4}  S_{5}  S_{6}  S_{7}  S_{8}  S_{9}  S_{10}
χ_{1} 1 135 1260 2304 8640 10080 45360 143360 241920 241920
χ_{2} 1 −15 210 624 −960 1680 1260 8960 −1680 −10080
χ_{3} 1 −27 126 −288 216 1008 −2268 −1792 6048 −3024
χ_{4} 1 57 246 120 840  96 1368 −1408  120 −1440
χ_{5} 1  3 −60 192 192 312 −576 −256 −960  1152
χ_{6} 1 21 30 −96 −168 240  180 −256 −672  720
χ_{7} 1 27 36  0  0 −144 −432  512  0  0
χ_{8} 1 −15 66  48 −96 −48 −36 −256  48  288
χ_{9} 1 −9  0 −36  72  0  0  224 −252  0
χ_{10} 1  3 −24  12 −24 −12  72 −112  228 −144

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