Co_{2}

U_{5}(2) ≤ U_{6}(2).2 3091200 1a + 23a + 253a + 275a + 1771a + 2024a

+ 2277a + 4025a + 23000a + 31625ab + 37422a + 63250a + 212520a + 284625a + 312984a + 398475b + 462000a + 558900a + 664125c

20

Character Numbers: [ 1, 2, 3, 4, 5, 6, 7, 8, 15, 16, 17, 19, 21, 28, 35, 36, 39, 42, 44, 48 ]

S_{1}  S_{2}  S_{3}  S_{4}  S_{5}  S_{6}  S_{7}  S_{8}  S_{9}  S_{10}
χ_{1} 14256 14256 16896 142560 142560 253440 253440 427680 427680 1368576
χ_{2} 4752 −4752  0 −47520 47520  0  0 142560 −142560  0
χ_{3} −432  432  0 −12960 12960 −30720 30720 −12960  1296 0  0
χ_{4} 1008 1008 −768 10080 10080 −11520 −11520 30240  30240 −62208
χ_{5} − 1296 −1296 −1536  4320 4320  7680  7680 −4320  −4320 − 13824
χ_{6} − 144 −144  96 −1440 −1440  1440  1440 −4320  −4320  7776
χ_{7}  −48  48  0  480 −480  0  0 −1440  1440  0
χ_{8}  432  432  768  4320 4320 −3840 −3840 −4320  −4320  6912
χ_{9}  504  504  576 −1008 −1008  576  576  0  0 −1728
χ_{10} −432  432  0 −864  864  1536 −1536 −864  864  0
χ_{11}  360  360 −576  576  576 −576 −576 −1296  −1296  1728
χ_{12}  368 −368  0 −960  960  1280 −1280 −960  960  0
χ_{13}  216 −216  0  864 −864  0  0  432  −432  0
χ_{14}  14 4  144 −96  0  0  480  480  0  0  −864
χ_{15}  120 −120  0 −192  192  0  0 −432  432  0
χ_{16}  −96 −96  64  −80  −80 −320 −320  80  80  576
χ_{17}  −24 −2 4  192  192  192  192  192 −144  −144  −576
χ_{18}  0  0  0  144 −144 −192  192  144  −144  0
χ_{19}  −24 −2 4 −128 −128 −128 −128 −128  176  176  384
χ_{20}  −72  7 2  0  0  0  0  0  144  −144  0

S_{11}  S_{12}  S_{13}  S_{14}  S_{15}  S_{16}  S_{17}  S_{18}  S_{19}  S_{20}
χ_{1} 14256 14256 16896 142560 142560 253440 253440 42768 0 427680 1368576
χ_{2} 4752 −4752  0 −47520 47520  0  0 142560 −142560  0
χ_{3} −432  432  0 −12960 12960 −30720 30720 −12960  1296 0  0
χ_{4} 1 008 1008 −768 10080 10080 −11520 −11520 30240  30240 −62208
χ_{5} − 1296 −1296 −1536  4320 4320  7680  7680 −4320  −4320 − 13824
χ_{6} − 144 −144  96 −1440 −1440  1440  1440 −4320  −4320  7776
χ_{7}  −48  48  0  480 −480  0  0 −1440  1440  0
χ_{8}  4 32  432  768  4320 4320 −3840 −3840 −4320  −4320  6912
χ_{9}  504 5 04  576 −1008 −1008  576  576  0  0 −1728
χ_{10} −432  432  0 −864  864  1536 −1536 −864  864  0
χ_{11}  360  360 −576  576  576 −576 −576 −1296  −1296  1728
χ_{12}  3 68 −368  0 −960  960  1280 −1280 −960  960  0
χ_{13}  216 −216  0  864 −864  0  0  432  −432  0
χ_{14}  14 4  144 −96  0  0  480  480  0  0  −864
χ_{15}  120 −120  0 −192  192  0  0 −432  432  0
χ_{16}  −96 −96  64  −80  −80 −320 −320  80  80  576
χ_{17}  −24 −2 4  192  192  192  192  192 −144  −144  −576
χ_{18}  0  0  0  144 −144 −192  192  144  −144  0
χ_{19}  −24 −2 4 −128 −128 −128 −128 −128  176  176  384
χ_{20}  −72  7 2  0  0  0  0  0  144  −144  0

Ramanujan Graphs: [ 2, 3, 4 ], [ 2, 3, 4, 5, 6 ], [ 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 ], [ 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20 ], [ 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 14, 15, 16, 17, 18, 19, 20 ], [ 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 ], [ 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 15, 16, 17, 18, 19, 20 ], [ 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 14, 15, 16, 17, 18, 19, 20 ], [ 2, 3, 4, 5, 6, 7, 8, 9, 11, 14, 15, 16, 17, 18, 19, 20 ], [ 2, 3, 4, 5, 6, 7, 8, 9, 13, 14, 15, 16, 17, 18, 19, 20 ], [ 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 ], [ 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20 ], [ 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20 ], [ 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 17, 18, 19, 20 ], [ 2, 3, 4, 5, 6, 7, 8, 10, 13, 14, 15, 16, 17, 18, 19, 20 ], [ 2, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 ], [ 2, 3, 4, 5, 6, 7, 8, 11, 12, 14, 15, 16, 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