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On this page are computer-accessible forms for the graph C4[ 120, 56 ] = BGCG(DG(F20A), 6; C1).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {55, 61} under the group generated by the following permutations:

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

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

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