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On this page are computer-accessible forms for the graph C4[ 84, 17 ] = UG(ATD[84,23]).

(I) Following is a form readable by MAGMA:

g:=Graph<84|{ {78, 79}, {1, 3}, {57, 59}, {1, 2}, {4, 7}, {57, 58}, {41, 45}, {59, 63}, {3, 6}, {81, 84}, {51, 54}, {2, 4}, {32, 38}, {43, 45}, {2, 5}, {5, 13}, {7, 15}, {6, 14}, {53, 61}, {55, 63}, {18, 27}, {49, 56}, {69, 76}, {3, 8}, {7, 12}, {53, 62}, {64, 75}, {66, 73}, {71, 76}, {17, 29}, {66, 78}, {67, 79}, {4, 9}, {18, 31}, {16, 29}, {6, 11}, {51, 62}, {48, 62}, {5, 10}, {35, 44}, {19, 28}, {17, 30}, {32, 50}, {36, 54}, {46, 60}, {47, 61}, {11, 24}, {38, 53}, {15, 28}, {44, 63}, {11, 31}, {68, 80}, {12, 25}, {14, 27}, {70, 83}, {40, 62}, {68, 82}, {13, 26}, {8, 16}, {74, 82}, {12, 20}, {11, 19}, {10, 18}, {9, 17}, {73, 81}, {32, 57}, {37, 60}, {34, 59}, {37, 63}, {39, 61}, {33, 58}, {75, 80}, {72, 84}, {79, 83}, {78, 82}, {8, 21}, {10, 23}, {74, 84}, {77, 83}, {9, 22}, {1, 33}, {21, 52}, {18, 48}, {23, 53}, {22, 52}, {20, 55}, {28, 56}, {21, 51}, {12, 43}, {7, 47}, {15, 36}, {22, 61}, {26, 54}, {27, 55}, {14, 35}, {30, 48}, {31, 49}, {13, 34}, {28, 45}, {29, 47}, {1, 50}, {31, 44}, {24, 43}, {22, 37}, {19, 32}, {19, 39}, {30, 42}, {23, 35}, {16, 37}, {27, 46}, {25, 44}, {20, 33}, {14, 56}, {17, 38}, {26, 45}, {25, 46}, {8, 49}, {30, 39}, {20, 40}, {24, 36}, {21, 41}, {23, 42}, {9, 73}, {2, 68}, {5, 66}, {4, 79}, {3, 78}, {25, 84}, {13, 67}, {6, 80}, {26, 77}, {10, 83}, {16, 75}, {29, 65}, {15, 81}, {24, 71}, {35, 67}, {38, 71}, {36, 70}, {40, 74}, {42, 72}, {43, 73}, {34, 70}, {52, 80}, {55, 81}, {34, 69}, {40, 64}, {58, 82}, {33, 72}, {41, 64}, {42, 64}, {39, 76}, {47, 66}, {41, 70}, {46, 65}, {60, 77}, {48, 67}, {57, 77}, {49, 68}, {52, 65}, {58, 76}, {50, 69}, {50, 74}, {60, 69}, {59, 65}, {51, 72}, {54, 75}, {56, 71} }>;

(II) A more general form is to represent the graph as the orbit of {78, 79} under the group generated by the following permutations:

a: (2, 50)(3, 33)(4, 32)(5, 69)(6, 20)(7, 19)(8, 72)(9, 38)(10, 60)(11, 12)(13, 34)(14, 55)(15, 28)(16, 42)(18, 46)(21, 51)(22, 53)(23, 37)(24, 43)(25, 31)(26, 70)(29, 30)(35, 63)(36, 45)(39, 47)(40, 80)(41, 54)(48, 65)(49, 84)(52, 62)(56, 81)(57, 79)(58, 78)(59, 67)(64, 75)(66, 76)(68, 74)(71, 73)(77, 83)
b: (2, 33, 3, 50)(4, 72, 6, 69)(5, 20, 8, 32)(7, 51, 11, 34)(9, 42, 14, 60)(10, 55, 16, 38)(12, 21, 19, 13)(15, 54, 24, 70)(17, 23, 27, 37)(18, 63, 29, 53)(22, 30, 35, 46)(25, 52, 39, 67)(26, 43, 41, 28)(31, 59, 47, 62)(40, 49, 57, 66)(44, 65, 61, 48)(56, 77, 73, 64)(58, 78, 74, 68)(71, 83, 81, 75)(76, 79, 84, 80)
c: (2, 3)(4, 6)(5, 8)(7, 11)(9, 14)(10, 16)(12, 19)(13, 21)(15, 24)(17, 27)(18, 29)(20, 32)(22, 35)(23, 37)(25, 39)(26, 41)(28, 43)(30, 46)(31, 47)(33, 50)(34, 51)(38, 55)(40, 57)(42, 60)(44, 61)(48, 65)(49, 66)(52, 67)(53, 63)(54, 70)(56, 73)(58, 74)(59, 62)(64, 77)(68, 78)(69, 72)(71, 81)(75, 83)(76, 84)(79, 80)
d: (1, 2, 5, 13, 34, 69, 50)(3, 4, 10, 26, 59, 76, 74)(6, 7, 18, 45, 63, 71, 84)(8, 9, 23, 54, 65, 39, 40)(11, 12, 31, 43, 44, 24, 25)(14, 15, 27, 28, 55, 56, 81)(16, 17, 42, 75, 29, 30, 64)(19, 20, 49, 73, 35, 36, 46)(21, 22, 53, 51, 52, 61, 62)(32, 33, 68, 66, 67, 70, 60)(37, 38, 72, 80, 47, 48, 41)(57, 58, 82, 78, 79, 83, 77)

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

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&Graph
C4[ 84, 17 ]
84
-1 33 2 3 50
-2 1 68 4 5
-3 1 78 6 8
-4 2 79 7 9
-5 66 2 13 10
-6 11 3 14 80
-7 12 47 4 15
-8 3 16 49 21
-9 22 4 17 73
-10 23 5 83 18
-11 24 6 19 31
-12 25 7 20 43
-13 34 67 26 5
-14 56 35 27 6
-15 36 81 28 7
-16 37 29 8 75
-17 38 29 30 9
-18 48 27 31 10
-19 11 28 39 32
-20 33 55 12 40
-21 51 8 41 52
-22 37 61 52 9
-23 35 42 53 10
-24 11 36 71 43
-25 44 12 46 84
-26 77 45 13 54
-27 55 46 14 18
-28 45 56 15 19
-29 47 16 17 65
-30 48 17 39 42
-31 11 44 49 18
-32 57 38 50 19
-33 1 58 72 20
-34 13 69 59 70
-35 44 23 67 14
-36 24 15 70 54
-37 22 16 60 63
-38 71 17 53 32
-39 61 19 30 76
-40 62 74 20 64
-41 45 70 64 21
-42 23 72 30 64
-43 12 45 24 73
-44 35 25 63 31
-45 26 28 41 43
-46 25 27 60 65
-47 66 61 7 29
-48 67 18 62 30
-49 56 68 8 31
-50 1 69 74 32
-51 72 62 21 54
-52 22 80 21 65
-53 23 38 61 62
-54 36 26 51 75
-55 81 27 63 20
-56 14 49 71 28
-57 77 58 59 32
-58 33 57 82 76
-59 34 57 63 65
-60 77 46 69 37
-61 22 47 39 53
-62 48 40 51 53
-63 44 55 37 59
-64 40 41 42 75
-65 46 59 29 52
-66 78 47 5 73
-67 13 35 79 48
-68 2 80 49 82
-69 34 60 50 76
-70 34 36 83 41
-71 56 24 38 76
-72 33 51 84 42
-73 66 81 9 43
-74 82 50 40 84
-75 80 16 64 54
-76 58 69 71 39
-77 57 26 60 83
-78 66 79 3 82
-79 67 78 4 83
-80 68 6 52 75
-81 55 15 73 84
-82 78 68 58 74
-83 77 79 70 10
-84 25 81 72 74
0

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