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On this page are computer-accessible forms for the graph C4[ 120, 17 ] = R_60(32,31).

(I) Following is a form readable by MAGMA:

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

(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: (22, 81)(23, 53)(24, 113)(52, 111)(54, 83)(82, 112)
b: (13, 72)(14, 103)(43, 102)(44, 73)
c: (27, 86)(28, 117)(57, 116)(58, 87)
d: (28, 87)(29, 59)(30, 119)(58, 117)(60, 89)(88, 118)
e: (25, 84)(26, 115)(55, 114)(56, 85)
f: (12, 71)(13, 43)(14, 103)(42, 101)(44, 73)(72, 102)
g: (15, 74)(16, 105)(45, 104)(46, 75)
h: (21, 80)(22, 111)(51, 110)(52, 81)
m: (11, 70)(12, 101)(41, 100)(42, 71)
n1: (7, 66)(8, 97)(37, 96)(38, 67)
a1: (23, 82)(24, 113)(53, 112)(54, 83)
b1: (18, 77)(19, 49)(20, 109)(48, 107)(50, 79)(78, 108)
c1: (17, 76)(18, 107)(47, 106)(48, 77)
d1: (4, 63)(5, 35)(6, 95)(34, 93)(36, 65)(64, 94)
e1: (20, 79)(21, 51)(22, 111)(50, 109)(52, 81)(80, 110)
f1: (19, 78)(20, 109)(49, 108)(50, 79)
g1: (5, 64)(6, 95)(35, 94)(36, 65)
h1: (8, 67)(9, 39)(10, 99)(38, 97)(40, 69)(68, 98)
m1: (16, 75)(17, 47)(18, 107)(46, 105)(48, 77)(76, 106)
n2: (26, 85)(27, 57)(28, 117)(56, 115)(58, 87)(86, 116)
a2: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60)(61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120)
b2: (2, 89)(3, 29)(4, 28)(5, 27)(6, 26)(7, 25)(8, 24)(9, 23)(10, 22)(11, 21)(12, 20)(13, 19)(14, 18)(15, 17)(30, 91)(32, 119)(33, 59)(34, 58)(35, 57)(36, 56)(37, 55)(38, 54)(39, 53)(40, 52)(41, 51)(42, 50)(43, 49)(44, 48)(45, 47)(60, 61)(62, 118)(63, 117)(64, 116)(65, 115)(66, 114)(67, 113)(68, 112)(69, 111)(70, 110)(71, 109)(72, 108)(73, 107)(74, 106)(75, 105)(76, 104)(77, 103)(78, 102)(79, 101)(80, 100)(81, 99)(82, 98)(83, 97)(84, 96)(85, 95)(86, 94)(87, 93)(88, 92)(90, 120)
c2: (24, 83)(25, 55)(26, 115)(54, 113)(56, 85)(84, 114)
d2: (14, 73)(15, 45)(16, 105)(44, 103)(46, 75)(74, 104)
e2: (9, 68)(10, 99)(39, 98)(40, 69)
f2: (6, 65)(7, 37)(8, 97)(36, 95)(38, 67)(66, 96)
g2: (29, 88)(30, 119)(59, 118)(60, 89)
h2: (10, 69)(11, 41)(12, 101)(40, 99)(42, 71)(70, 100)

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

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