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On this page are computer-accessible forms for the graph C4[ 118, 1 ] = W(59,2).

(I) Following is a form readable by MAGMA:

g:=Graph<118|{ {2, 3}, {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}, {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}, {76, 77}, {78, 79}, {1, 2}, {117, 118}, {113, 114}, {109, 110}, {105, 106}, {101, 102}, {97, 98}, {93, 94}, {89, 90}, {85, 86}, {81, 82}, {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}, {77, 78}, {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}, {103, 104}, {87, 88}, {39, 40}, {23, 24}, {55, 56}, {71, 72}, {15, 16}, {111, 112}, {79, 80}, {47, 48}, {1, 59}, {4, 62}, {5, 63}, {1, 61}, {2, 62}, {3, 63}, {2, 60}, {3, 61}, {31, 32}, {95, 96}, {4, 64}, {39, 99}, {38, 98}, {37, 97}, {36, 96}, {31, 91}, {30, 90}, {29, 89}, {28, 88}, {5, 65}, {6, 66}, {7, 67}, {12, 72}, {13, 73}, {14, 74}, {15, 75}, {20, 80}, {21, 81}, {22, 82}, {23, 83}, {44, 104}, {45, 105}, {46, 106}, {47, 107}, {52, 112}, {53, 113}, {54, 114}, {55, 115}, {6, 64}, {39, 97}, {38, 96}, {31, 89}, {30, 88}, {7, 65}, {14, 72}, {15, 73}, {22, 80}, {23, 81}, {46, 104}, {47, 105}, {54, 112}, {55, 113}, {8, 66}, {29, 87}, {28, 86}, {25, 83}, {9, 67}, {12, 70}, {13, 71}, {24, 82}, {40, 98}, {41, 99}, {44, 102}, {45, 103}, {56, 114}, {57, 115}, {60, 118}, {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}, {10, 68}, {27, 85}, {26, 84}, {11, 69}, {42, 100}, {43, 101}, {58, 116}, {59, 117}, {16, 74}, {17, 75}, {20, 78}, {21, 79}, {48, 106}, {49, 107}, {52, 110}, {53, 111}, {16, 76}, {17, 77}, {18, 78}, {19, 79}, {48, 108}, {49, 109}, {50, 110}, {51, 111}, {18, 76}, {19, 77}, {50, 108}, {51, 109}, {1, 118}, {32, 90}, {37, 95}, {36, 94}, {33, 91}, {32, 92}, {35, 95}, {34, 94}, {33, 93}, {34, 92}, {35, 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: (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)
b: (19, 78)
c: (7, 66)
d: (50, 109)
e: (9, 68)
f: (32, 91)
g: (53, 112)
h: (8, 67)
m: (25, 84)
n1: (41, 100)
a1: (33, 92)
b1: (44, 103)
c1: (27, 86)
d1: (14, 73)
e1: (10, 69)
f1: (58, 117)
g1: (15, 74)
h1: (40, 99)
m1: (4, 63)
n2: (11, 70)
a2: (2, 61)
b2: (55, 114)
c2: (49, 108)
d2: (52, 111)
e2: (51, 110)
f2: (28, 87)
g2: (59, 118)
h2: (46, 105)
m2: (2, 59)(3, 58)(4, 57)(5, 56)(6, 55)(7, 54)(8, 53)(9, 52)(10, 51)(11, 50)(12, 49)(13, 48)(14, 47)(15, 46)(16, 45)(17, 44)(18, 43)(19, 42)(20, 41)(21, 40)(22, 39)(23, 38)(24, 37)(25, 36)(26, 35)(27, 34)(28, 33)(29, 32)(30, 31)(61, 118)(62, 117)(63, 116)(64, 115)(65, 114)(66, 113)(67, 112)(68, 111)(69, 110)(70, 109)(71, 108)(72, 107)(73, 106)(74, 105)(75, 104)(76, 103)(77, 102)(78, 101)(79, 100)(80, 99)(81, 98)(82, 97)(83, 96)(84, 95)(85, 94)(86, 93)(87, 92)(88, 91)(89, 90)
n3: (48, 107)
a3: (20, 79)
b3: (45, 104)
c3: (39, 98)
d3: (30, 89)
e3: (21, 80)
f3: (24, 83)
g3: (5, 64)
h3: (18, 77)
m3: (17, 76)
n4: (57, 116)
a4: (56, 115)
b4: (38, 97)
c4: (3, 62)
d4: (54, 113)
e4: (23, 82)
f4: (22, 81)
g4: (42, 101)
h4: (47, 106)
m4: (35, 94)
n5: (43, 102)
a5: (26, 85)
b5: (31, 90)
c5: (36, 95)
d5: (6, 65)
e5: (34, 93)
f5: (12, 71)
g5: (16, 75)
h5: (13, 72)
m5: (37, 96)

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

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