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On this page are computer-accessible forms for the graph C4[ 126, 8 ] = L(F84).

(I) Following is a form readable by MAGMA:

g:=Graph<126|{ {2, 3}, {124, 125}, {122, 123}, {118, 119}, {116, 117}, {112, 113}, {110, 111}, {108, 109}, {106, 107}, {104, 105}, {102, 103}, {100, 101}, {98, 99}, {96, 97}, {94, 95}, {92, 93}, {90, 91}, {88, 89}, {86, 87}, {84, 85}, {82, 83}, {80, 81}, {78, 79}, {30, 31}, {14, 15}, {4, 5}, {54, 55}, {56, 57}, {58, 59}, {70, 71}, {72, 73}, {74, 75}, {76, 77}, {1, 3}, {124, 126}, {121, 123}, {112, 114}, {13, 15}, {1, 2}, {125, 126}, {121, 122}, {113, 114}, {41, 42}, {21, 22}, {45, 46}, {1, 5}, {26, 30}, {25, 29}, {24, 28}, {17, 21}, {16, 20}, {3, 7}, {2, 6}, {50, 54}, {51, 55}, {1, 4}, {18, 23}, {10, 12}, {115, 117}, {25, 31}, {16, 22}, {11, 13}, {35, 36}, {115, 116}, {43, 44}, {64, 71}, {4, 12}, {6, 14}, {5, 13}, {49, 57}, {65, 73}, {32, 41}, {50, 59}, {2, 8}, {33, 43}, {3, 9}, {64, 74}, {51, 56}, {35, 47}, {65, 76}, {4, 10}, {118, 120}, {34, 44}, {32, 46}, {7, 9}, {6, 8}, {5, 11}, {23, 24}, {119, 120}, {34, 45}, {44, 60}, {107, 123}, {100, 116}, {97, 113}, {33, 48}, {106, 123}, {101, 116}, {96, 113}, {10, 24}, {12, 30}, {11, 25}, {7, 20}, {15, 27}, {108, 120}, {102, 114}, {99, 119}, {6, 19}, {109, 120}, {103, 114}, {98, 119}, {10, 28}, {104, 126}, {13, 27}, {12, 26}, {11, 29}, {7, 16}, {105, 126}, {67, 91}, {8, 17}, {38, 63}, {36, 61}, {68, 93}, {73, 83}, {111, 117}, {79, 85}, {9, 18}, {110, 117}, {78, 85}, {42, 49}, {37, 62}, {72, 83}, {69, 89}, {75, 87}, {8, 21}, {14, 19}, {66, 95}, {74, 87}, {9, 23}, {36, 58}, {35, 61}, {34, 60}, {47, 48}, {71, 103}, {70, 103}, {79, 110}, {71, 101}, {28, 56}, {94, 122}, {64, 101}, {95, 122}, {77, 107}, {91, 125}, {86, 112}, {29, 58}, {90, 125}, {87, 112}, {65, 102}, {75, 108}, {76, 107}, {15, 39}, {84, 124}, {69, 109}, {14, 39}, {85, 124}, {27, 50}, {30, 52}, {92, 118}, {89, 115}, {83, 121}, {31, 53}, {66, 104}, {26, 49}, {93, 118}, {88, 115}, {82, 121}, {31, 52}, {25, 53}, {67, 111}, {27, 54}, {68, 106}, {77, 99}, {28, 51}, {73, 102}, {21, 37}, {81, 97}, {26, 42}, {17, 32}, {23, 38}, {19, 34}, {18, 33}, {22, 37}, {84, 96}, {91, 111}, {89, 109}, {86, 98}, {20, 35}, {95, 104}, {93, 106}, {16, 40}, {81, 105}, {17, 41}, {18, 43}, {80, 105}, {29, 36}, {20, 47}, {19, 45}, {24, 38}, {22, 40}, {60, 108}, {62, 110}, {54, 100}, {55, 100}, {52, 96}, {53, 98}, {61, 99}, {63, 97}, {52, 84}, {56, 88}, {58, 90}, {51, 82}, {57, 88}, {59, 90}, {37, 70}, {53, 86}, {32, 68}, {42, 78}, {40, 76}, {33, 69}, {55, 82}, {57, 92}, {59, 94}, {39, 64}, {41, 78}, {40, 65}, {46, 68}, {46, 66}, {47, 67}, {50, 94}, {39, 74}, {49, 92}, {38, 72}, {63, 81}, {45, 66}, {61, 77}, {62, 79}, {48, 67}, {48, 69}, {60, 75}, {63, 72}, {62, 70}, {43, 80}, {44, 80} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (1, 2, 3)(4, 6, 7)(5, 8, 9)(10, 14, 16)(11, 17, 18)(12, 19, 20)(13, 21, 23)(15, 22, 24)(25, 32, 33)(26, 34, 35)(27, 37, 38)(28, 39, 40)(29, 41, 43)(30, 45, 47)(31, 46, 48)(36, 42, 44)(49, 60, 61)(50, 62, 63)(51, 64, 65)(52, 66, 67)(53, 68, 69)(54, 70, 72)(55, 71, 73)(56, 74, 76)(57, 75, 77)(58, 78, 80)(59, 79, 81)(82, 101, 102)(83, 100, 103)(84, 104, 91)(85, 105, 90)(86, 106, 89)(87, 107, 88)(92, 108, 99)(93, 109, 98)(94, 110, 97)(95, 111, 96)(112, 123, 115)(113, 122, 117)(114, 121, 116)(118, 120, 119)(124, 126, 125)
b: (2, 5)(3, 4)(6, 13)(7, 12)(8, 11)(9, 10)(14, 15)(16, 30)(17, 29)(18, 28)(19, 27)(20, 26)(21, 25)(22, 31)(23, 24)(32, 58)(33, 56)(34, 54)(35, 42)(36, 41)(37, 53)(40, 52)(43, 51)(44, 55)(45, 50)(46, 59)(47, 49)(48, 57)(60, 100)(61, 78)(62, 98)(63, 72)(64, 74)(65, 96)(66, 94)(67, 92)(68, 90)(69, 88)(70, 86)(71, 87)(73, 97)(75, 101)(76, 84)(77, 85)(79, 99)(80, 82)(81, 83)(91, 93)(102, 113)(103, 112)(104, 122)(105, 121)(106, 125)(107, 124)(108, 116)(109, 115)(110, 119)(111, 118)(117, 120)(123, 126)
c: (2, 3)(4, 5)(6, 9)(7, 8)(10, 13)(11, 12)(14, 23)(15, 24)(16, 21)(17, 20)(18, 19)(25, 30)(26, 29)(27, 28)(32, 47)(33, 45)(34, 43)(35, 41)(36, 42)(37, 40)(38, 39)(46, 48)(49, 58)(50, 56)(51, 54)(52, 53)(57, 59)(60, 80)(61, 78)(62, 76)(63, 74)(64, 72)(65, 70)(66, 69)(67, 68)(71, 73)(75, 81)(77, 79)(82, 100)(83, 101)(84, 98)(85, 99)(86, 96)(87, 97)(88, 94)(89, 95)(90, 92)(91, 93)(102, 103)(104, 109)(105, 108)(106, 111)(107, 110)(112, 113)(115, 122)(116, 121)(117, 123)(118, 125)(119, 124)(120, 126)

(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[ 126, 8 ]
126
-1 2 3 4 5
-2 1 3 6 8
-3 1 2 7 9
-4 1 12 5 10
-5 11 1 13 4
-6 2 14 8 19
-7 3 16 9 20
-8 2 6 17 21
-9 23 3 7 18
-10 12 24 4 28
-11 13 25 5 29
-12 4 26 30 10
-13 11 15 5 27
-14 15 6 39 19
-15 13 14 27 39
-16 22 7 40 20
-17 8 41 21 32
-18 33 23 9 43
-19 34 45 14 6
-20 35 47 16 7
-21 22 37 17 8
-22 37 16 40 21
-23 24 38 18 9
-24 23 38 28 10
-25 11 29 31 53
-26 12 49 30 42
-27 13 15 50 54
-28 56 24 51 10
-29 11 25 36 58
-30 12 26 52 31
-31 25 30 52 53
-32 46 68 17 41
-33 69 48 18 43
-34 44 45 60 19
-35 36 47 61 20
-36 35 58 61 29
-37 22 70 62 21
-38 23 24 72 63
-39 14 15 74 64
-40 22 16 65 76
-41 78 17 42 32
-42 78 26 49 41
-43 33 44 80 18
-44 34 80 60 43
-45 66 34 46 19
-46 66 45 68 32
-47 67 35 48 20
-48 33 67 47 69
-49 57 26 92 42
-50 59 27 94 54
-51 55 56 82 28
-52 84 30 96 31
-53 25 31 86 98
-54 55 100 27 50
-55 100 82 51 54
-56 88 57 28 51
-57 88 56 92 49
-58 90 36 59 29
-59 90 58 50 94
-60 44 34 75 108
-61 77 99 35 36
-62 110 79 37 70
-63 81 38 72 97
-64 101 71 39 74
-65 102 40 73 76
-66 45 46 104 95
-67 111 47 91 48
-68 46 93 106 32
-69 33 89 48 109
-70 37 103 71 62
-71 101 70 103 64
-72 38 83 73 63
-73 102 72 83 65
-74 39 64 75 87
-75 60 74 108 87
-76 77 40 107 65
-77 99 61 107 76
-78 79 41 85 42
-79 110 78 62 85
-80 44 81 105 43
-81 80 105 63 97
-82 55 121 83 51
-83 121 82 72 73
-84 124 52 85 96
-85 78 79 124 84
-86 112 53 87 98
-87 112 74 75 86
-88 56 89 57 115
-89 88 69 115 109
-90 58 91 59 125
-91 67 111 90 125
-92 57 49 93 118
-93 68 92 106 118
-94 122 59 50 95
-95 66 122 104 94
-96 113 84 52 97
-97 113 81 63 96
-98 99 53 86 119
-99 77 61 119 98
-100 55 101 116 54
-101 100 71 116 64
-102 103 114 73 65
-103 102 70 114 71
-104 66 126 105 95
-105 80 81 104 126
-106 68 123 93 107
-107 77 123 106 76
-108 60 75 109 120
-109 89 69 108 120
-110 111 79 62 117
-111 110 67 91 117
-112 113 114 86 87
-113 112 114 96 97
-114 112 102 113 103
-115 88 89 116 117
-116 100 101 115 117
-117 110 111 115 116
-118 92 93 119 120
-119 99 118 98 120
-120 118 108 119 109
-121 122 123 82 83
-122 121 123 94 95
-123 121 122 106 107
-124 125 126 84 85
-125 90 91 124 126
-126 124 125 104 105
0

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