J_{4}

2^{11} : M_{24} 173067389 {1a + 889111a + 1776888a + 4290927a + \atop 35411145ab + 95288172a} 7

Character Numbers: [ 1, 8, 11, 14, 19, 20, 21 ]

S_{1}  S_{2}  S_{3}  S_{4}  S_{5}  S_{6}  S_{7}
χ_{1} 1  15180  28336  3400320  32643072  54405120  825753 60
χ_{2} 1  825  1166  14520  19008  10560  −46080
χ_{3} 1  517  −990  −1496  32560  −23936  −6656
χ_{4} 1  −253  0  7084  0  −28336  21504
χ_{5} 1 66 − 17r33 99 + 19r33 −1166 − 154r33 −64 + 1984b33 −25 52 − 328r33 4608 − 512r33
χ_{6} 1 66 + 17r33 99 − 19r33 −1166 + 154r33 −1056 − 992r33 −2 552 + 328r33 4608 + 512r33
χ_{7} 1  −55  −66  440  0  3520  −3840

Ramanujan graphs: [ 2, 3, 4, 5, 6, 7 ], [ 2, 3, 5, 6, 7 ], [ 2, 4, 5, 6, 7 ], [ 2, 5, 6, 7 ], [ 3, 4, 5, 6, 7 ], [ 3, 5, 6, 7 ], [ 4, 5, 6, 7 ], [ 5, 6, 7 ]