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On this page are computer-accessible forms for the graph C4[ 126, 10 ] = MG(Rmap(126,38){9,9|7}_9).

(I) Following is a form readable by MAGMA:

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

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

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

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