J_{3}

L_{2}(16).2 6156 1a + 323ab + 324a + 1140a + 1215ab + 1615a 8

Character Numbers: [ 1, 4, 5, 6, 10, 11, 12, 13 ]

S_{1}  S_{2}  S_{3}  S_{4}  S_{5}  S_{6}  S_{7}  S_{8}
χ_{1} 1  85  120  510  680  1360  1360  2040
χ_{2} 1  13  12  −30  −40 28 − 36r5 28 + 36r5  −12
χ_{3} 1  13  12  −30  −40 28 + 36r5 28 − 36r5  −12
χ_{4} 1  −17  −18  0  0  68  68  −102
χ_{5} 1  13  −6  6  32  −8  −8  −30
χ_{6} 1 −4 − r17 −6 + 2r17 −11 − 5r17 −2 + 6r17  −8  −8 38 − 2r17
χ_{7} 1 −4 + r17 −6 − 2r17 −11 + 5r17 −2 − 6r17  −8  −8 38 + 2r17
χ_{8} 1  −5  12  24  −4  −8  −8  −12

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