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On this page are computer-accessible forms for the graph C4[ 120, 57 ] = HC(Rmap(30,2){3,5|5}_10).

(I) Following is a form readable by MAGMA:

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

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

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

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