HN

A_{12} 1140000 1a + 133ab + 760a + 3344a + 8910a + 16929a + 35112ab + 267520a + 365750a + 406296a

12

Character Numbers: [ 1, 2, 3, 4, 5, 8, 10, 11, 12, 18, 20, 23 ]

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} 1 462  2520  2520 10395 16632 30800 69300 166320 166320 311850 362880
χ_{2} 1 −198 360r5 −360r5 2475  792 4400 −9900 −7920r5 7920r5 −14850 17280
χ_{3} 1 −198 −360r5 360r5 2475  792 4400 −9900 7920r5 −7920r5 −14850 17280
χ_{4} 1 132 −540 −540 1485 −1188 1100 4950 −5940 −5940  0 6480
χ_{5} 1  12  120  120 495 1332 −2200  300 −1080 −1080 −900 2880
χ_{6} 1  82  240  240 515 −88  400  900  640  640 −1650 −1920
χ_{7} 1  62 −120 −120 155  632  400 −300  80  80  1050 −1920
χ_{8} 1 −48  60r5 −60r5 225 −108 −100 −150  180r5 −180r5  900 −720
χ_{9} 1 −48 −60r5  60r5 225 −108 −100 −150 −180r5  180r5  900 −720
χ_{10} 1  12  30  30 −45 −18  50 −150  −270  −270  450  180
χ_{11} 1 −18  0  0 −45  72  80  180  0  0 −270  0
χ_{12} 1  12  −20  −20  5 −68 −100 −50  180  180 −200  80

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