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On this page are computer-accessible forms for the graph C4[ 120, 22 ] = PL(MC3(4,15,1,14,4,0,1),[4^15,30^2]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {26, 63} under the group generated by the following permutations:

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

(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.

**************

&Graph
C4[ 120, 22 ]
120
-1 70 105 63 98
-2 105 63 118 119
-3 104 62 74 76
-4 62 117 76 120
-5 70 61 62 98
-6 77 89 113 61
-7 88 99 79 65
-8 69 96 75 119
-9 77 91 115 61
-10 79 90 108 65
-11 94 85 75 119
-12 61 62 118 119
-13 79 104 63 74
-14 112 95 118 87
-15 78 101 86 108
-16 92 115 94 84
-17 100 68 72 116
-18 100 69 70 96
-19 80 71 85 120
-20 112 118 64 97
-21 99 78 73 86
-22 113 93 94 84
-23 100 114 72 107
-24 100 70 94 85
-25 69 81 71 120
-26 79 117 63 120
-27 78 89 113 105
-28 88 99 84 76
-29 110 95 87 98
-30 66 103 117 97
-31 110 114 93 106
-32 68 103 116 75
-33 102 82 73 107
-34 80 102 74 85
-35 111 91 83 64
-36 67 90 81 109
-37 110 64 97 98
-38 103 95 117 86
-39 110 67 93 116
-40 66 104 72 97
-41 103 114 107 75
-42 68 102 83 73
-43 69 102 81 74
-44 111 91 82 87
-45 90 80 106 109
-46 78 91 115 105
-47 90 84 108 76
-48 66 77 101 108
-49 92 115 96 65
-50 112 92 114 106
-51 101 71 82 107
-52 89 83 64 109
-53 88 67 111 81
-54 104 72 95 86
-55 67 112 92 116
-56 68 101 71 83
-57 89 82 87 109
-58 88 111 80 106
-59 66 77 99 73
-60 113 93 96 65
-61 12 5 6 9
-62 12 3 4 5
-63 1 2 13 26
-64 35 37 52 20
-65 49 60 7 10
-66 48 59 40 30
-67 55 36 39 53
-68 56 17 42 32
-69 25 18 8 43
-70 1 24 5 18
-71 56 25 51 19
-72 23 17 40 54
-73 33 59 42 21
-74 34 13 3 43
-75 11 8 41 32
-76 3 47 4 28
-77 48 59 6 9
-78 46 15 27 21
-79 13 26 7 10
-80 34 45 58 19
-81 25 36 53 43
-82 33 44 57 51
-83 56 35 52 42
-84 22 47 16 28
-85 11 34 24 19
-86 15 38 21 54
-87 44 57 14 29
-88 58 28 7 53
-89 57 27 6 52
-90 45 36 47 10
-91 44 35 46 9
-92 55 16 49 50
-93 22 60 39 31
-94 11 22 24 16
-95 14 38 29 54
-96 49 60 18 8
-97 37 40 30 20
-98 1 37 5 29
-99 59 28 7 21
-100 23 24 17 18
-101 56 15 48 51
-102 33 34 42 43
-103 38 30 41 32
-104 13 3 40 54
-105 1 2 46 27
-106 45 58 50 31
-107 33 23 51 41
-108 47 15 48 10
-109 45 57 36 52
-110 37 39 29 31
-111 44 35 58 53
-112 55 14 50 20
-113 22 27 60 6
-114 23 50 41 31
-115 46 16 49 9
-116 55 17 39 32
-117 4 26 38 30
-118 12 2 14 20
-119 11 12 2 8
-120 25 4 26 19
0

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