Co_{2}

HS ≤ HS.2 953856 1a + 23a + 275a + 2024a + 2277a +

12650a + 31625b + 31878a + 44275a + 184437a + 245916a + 398475a

12

Character Numbers: [ 1, 2, 4, 6, 7, 14, 17, 18, 20, 27, 33, 38 ]

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 3850 3850 4125 4125 61600 61600 88704 231000 231000 264000
χ_{2} 1 −1 770 −770 2475 −2475 24640 −24640  0 46200 −46200  0
χ_{3} 1 1 −14 −14 1365 1365 7504  7504 −4032 −840  −840 −12000
χ_{4} 1 1 490 490 285  285 −560  −560 −4032 −840  −840  5280
χ_{5} 1 −1 −70  70 675 −675 1120 −1120  0 −4200  4200  0
χ_{6} 1 1 −86 −86 285  285 −416  −416 1152 −840  −840  960
χ_{7} 1 1 178 178  21  21 −176  −176  576  312  312 −1248
χ_{8} 1 −1 −190 190  75  −75 −320  320  0  600  −600  0
χ_{9} 1 −1 122 −122  99  −99 −416  416  0  408  −408  0
χ_{10} 1 1  10  10 −35  −35  160  160  128 −360  −360  320
χ_{11} 1 1 −30 −30  5  5 −80  −80 −192  280  280  −160
χ_{12} 1 −1  2  −2 −21  21  64  −64  0  −72  72  0

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