HN.2

4.HS.2 1539000 1a^{+} + 3344a^{+} + 8910a^{+} + 9405a^{+} +

16929a^{+} + 214016a^{+} + 267520a^{+} +
365750a^{+} + 653125a^{+}

9

Character Numbers: [ 1, 6, 9, 11, 13, 18, 20, 24, 29 ]

S_{1}  S_{2} S_{3}  S_{4}  S_{5}  S_{6}  S_{7}  S_{8}  S_{9}
χ_{1} 1 1408 2200 5775 35200 123200 277200 354816 739200
χ_{2} 1 208 −50 525 2200 −2800 −6300 2016 4200
χ_{3} 1 −112 300  75 1000 −2200 3600 −864 −1800
χ_{4} 1 208 100 −525 1000 1400  0 2016 −4200
χ_{5} 1 128 200 375  0 1600  0 −2304  0
χ_{6} 1 −47 −50  0 250  350  0 −504  0
χ_{7} 1  28 −50  75 −50 −100  450  396 −750
χ_{8} 1 −32 40  15 −80  80 −360  576 −240
χ_{9} 1  16  4 −45 −56 −136  0 −288  504

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