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On this page are computer-accessible forms for the graph C4[ 84, 22 ] = 2AT[ 84, 1 ].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {82, 83} under the group generated by the following permutations:

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

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