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On this page are computer-accessible forms for the graph C4[ 126, 9 ] = MG(Rmap(126,28){7,7|9}_9).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {1, 3} under the group generated by the following permutations:

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

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

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