Co_{3}

\begin{matrix}3^{5} : M_{11} \\ ≤ 3^{5} : (2 × M_{11}) \end{matrix} 257600 1a + 23a + 253b + 275a + 2024a + 5544a

+ 8855a + 23000a + 31625ac + 63250a + 91125a

12

Character Numbers: [ 1, 2, 4, 5, 9, 13, 15, 20, 22, 24, 28, 31 ]

S_{1} S_{2}  S_{3}  S_{4} S_{5}  S_{6}  S_{7}  S_{8}  S_{9}  S_{10}  S_{11}  S_{12}
χ_{1} 1 1 495 495 2673 2673 32076 32076 40095 40095 53460 53460
χ_{2} 1 −1 165 −165 1485 −1485 10692 −10692 4455 −4455 5940 −5940
χ_{3} 1 −1 −135 135 345 −345 −108  108 2655 −2655 −3660 3660
χ_{4} 1 1  35  35 741  741 2268  2268 −1305 −1305 −1740 −1740
χ_{5} 1 −1  15 −15 315 −315 −108  108 −945  945 −360  360
χ_{6} 1 1 −55 −55 123  123 −324  −324  495  495 −240 −240
χ_{7} 1 1  35  35  93  93 −324  −324 −225 −225  420  420
χ_{8} 1 1  35  35 −15  −15  0  0  207  207 −228 −228
χ_{9} 1 −1  33 −33  9  −9 −108  108  135 −135  36  −36
χ_{10} 1 −1 −27  27  21  −21 −108  108  63  −63  228 −228
χ_{11} 1 −1  −3  3 −27  27  108  −108  −81  81 −108  108
χ_{12} 1 1  −9  −9 −15  −15  44  44  −57  −57  36  36

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