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On this page are computer-accessible forms for the graph C4[ 120, 51 ] = XI(Rmap(60,13){6,6|5}_6).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {31, 62} under the group generated by the following permutations:

a: (10, 18)(16, 28)(22, 35)(33, 48)(40, 47)(53, 57)(79, 90)(94, 109)(108, 117)
b: (1, 2)(3, 30, 19, 5)(6, 10)(8, 50, 36, 13)(11, 18)(12, 20)(14, 22, 25, 16)(21, 32, 52, 39)(23, 35, 41, 28)(24, 37, 45, 55)(26, 40)(31, 44)(33, 46)(34, 47)(42, 53)(48, 56)(49, 57)(59, 60)(62, 64)(63, 66)(65, 69)(67, 104, 91, 71)(70, 76)(72, 79)(74, 101, 110, 82)(78, 88)(80, 90)(81, 92)(83, 94)(85, 87, 100, 97)(89, 102)(93, 107)(95, 109)(96, 106)(98, 108)(103, 115)(112, 117)(113, 118)(116, 120)
c: (2, 3)(4, 6)(5, 8)(7, 11)(9, 14)(10, 16)(12, 19)(15, 23)(17, 26)(18, 28)(20, 31)(22, 33)(24, 36)(25, 38)(27, 34)(29, 42)(30, 39)(32, 45)(35, 48)(37, 44)(41, 51)(43, 49)(46, 54)(50, 52)(55, 59)(56, 58)(61, 62)(63, 65)(64, 67)(66, 70)(68, 72)(69, 74)(71, 77)(73, 80)(75, 83)(76, 85)(78, 87)(81, 91)(82, 93)(84, 95)(86, 98)(88, 101)(92, 105)(94, 108)(96, 110)(97, 107)(99, 112)(100, 113)(102, 114)(104, 111)(106, 116)(109, 117)(115, 119)(118, 120)
d: (3, 19)(8, 36)(16, 22)(28, 35)(32, 39)(37, 55)(67, 91)(74, 110)(85, 100)
e: (8, 39)(9, 38)(13, 52)(15, 51)(21, 50)(32, 36)(77, 111)(78, 107)(88, 93)
f: (6, 11)(14, 23)(25, 41)(26, 34)(42, 49)(46, 56)(72, 80)(83, 95)(98, 112)
g: (17, 29)(26, 42)(27, 43)(34, 49)(40, 53)(47, 57)(89, 103)(102, 115)(114, 119)
h: (4, 7)(9, 15)(17, 27)(29, 43)(38, 51)(54, 58)(68, 73)(75, 84)(86, 99)
m: (3, 6)(5, 10)(8, 42, 39, 26)(9, 17, 38, 29)(11, 19)(13, 53, 52, 40)(14, 28)(15, 27, 51, 43)(16, 25)(18, 30)(21, 47, 50, 57)(22, 41)(23, 35)(24, 33)(32, 34, 36, 49)(37, 46)(45, 48)(55, 56)(62, 65)(64, 69)(67, 83)(68, 75)(71, 94)(72, 74)(73, 84)(77, 119, 111, 114)(78, 102, 107, 115)(79, 82)(80, 110)(81, 96)(85, 98)(87, 117)(88, 89, 93, 103)(90, 101)(91, 95)(92, 106)(97, 108)(100, 112)(104, 109)
n1: (2, 4)(3, 6)(5, 9)(7, 12)(8, 14)(10, 17)(11, 19)(13, 21)(15, 24)(16, 26)(18, 29)(22, 34)(23, 36)(25, 39)(27, 33)(28, 42)(30, 38)(32, 41)(35, 49)(37, 46)(43, 48)(44, 54)(45, 51)(47, 53)(55, 56)(58, 59)(61, 63)(62, 65)(64, 68)(67, 72)(69, 75)(71, 78)(73, 81)(74, 83)(76, 86)(77, 87)(79, 89)(80, 91)(82, 88)(84, 96)(85, 98)(90, 103)(92, 106)(93, 101)(94, 102)(95, 110)(97, 111)(99, 113)(100, 112)(104, 107)(105, 116)(108, 114)(109, 115)(117, 119)

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

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