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On this page are computer-accessible forms for the graph C4[ 120, 1 ] = W(60,2).

(I) Following is a form readable by MAGMA:

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

(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: (5, 65)
b: (40, 100)
c: (51, 111)
d: (20, 80)
e: (30, 90)
f: (32, 92)
g: (11, 71)
h: (42, 102)
m: (4, 64)
n1: (43, 103)
a1: (12, 72)
b1: (36, 96)
c1: (49, 109)
d1: (18, 78)
e1: (54, 114)
f1: (23, 83)
g1: (3, 63)
h1: (59, 119)
m1: (28, 88)
n2: (57, 117)
a2: (26, 86)
b2: (56, 116)
c2: (21, 81)
d2: (50, 110)
e2: (19, 79)
f2: (34, 94)
g2: (35, 95)
h2: (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)
m2: (58, 118)
n3: (27, 87)
a3: (9, 69)
b3: (44, 104)
c3: (25, 85)
d3: (60, 120)
e3: (55, 115)
f3: (24, 84)
g3: (6, 66)
h3: (37, 97)
m3: (8, 68)
n4: (39, 99)
a4: (10, 70)
b4: (41, 101)
c4: (7, 67)
d4: (38, 98)
e4: (2, 60)(3, 59)(4, 58)(5, 57)(6, 56)(7, 55)(8, 54)(9, 53)(10, 52)(11, 51)(12, 50)(13, 49)(14, 48)(15, 47)(16, 46)(17, 45)(18, 44)(19, 43)(20, 42)(21, 41)(22, 40)(23, 39)(24, 38)(25, 37)(26, 36)(27, 35)(28, 34)(29, 33)(30, 32)(62, 120)(63, 119)(64, 118)(65, 117)(66, 116)(67, 115)(68, 114)(69, 113)(70, 112)(71, 111)(72, 110)(73, 109)(74, 108)(75, 107)(76, 106)(77, 105)(78, 104)(79, 103)(80, 102)(81, 101)(82, 100)(83, 99)(84, 98)(85, 97)(86, 96)(87, 95)(88, 94)(89, 93)(90, 92)
f4: (47, 107)
g4: (16, 76)
h4: (2, 62)
m4: (33, 93)
n5: (15, 75)
a5: (17, 77)
b5: (52, 112)
c5: (46, 106)
d5: (14, 74)
e5: (45, 105)
f5: (53, 113)
g5: (22, 82)
h5: (13, 73)
m5: (48, 108)
n6: (31, 91)

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

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