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On this page are computer-accessible forms for the graph C4[ 84, 14 ] = UG(ATD[84,1]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {34, 35} under the group generated by the following permutations:

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

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

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