HN.2

S_{12} 1140000 1a^{+} + 133ab + 760a^{+} + 3344a^{+} + 8910a^{+}

+ 16929a^{+} + 35112ab + 267520a^{+} +
365750a^{+} + 406296a^{+}

10

Character Numbers: [ 1, 3, 4, 6, 9, 13, 15, 20, 24, 27 ]

S_{1}  S_{2}  S_{3}  S_{4}  S_{5}  S_{6}  S_{7}  S_{8}  S_{9}  S_{10}
χ_{1} 1 462 5040 10395 16632 30800 69300 311850 332640 362880
χ_{2} 1 −198 0 2475 792 4400 −9900 −14850 0 17280
χ_{3} 1 132 −1080 1485 −1188 1100 4950  0 −11880 6480
χ_{4} 1  12  240 495 1332 −2200  300 −900 −2160 2880
χ_{5} 1  82  480 515 −88  400  900 −1650  1280 −1920
χ_{6} 1  62 −240 155  632  400 −300  1050  160 −1920
χ_{7} 1 −48  0 225 −108 −100 −150  900  0 −720
χ_{8} 1  12  60 −45 −18  50 −150  450 −540  180
χ_{9} 1 −18  0 −45  72  80  180 −270  0  0
χ_{10} 1  12 −40  5 −68 −100 −50 −200  360  80

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