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On this page are computer-accessible forms for the graph C4[ 114, 1 ] = W(57,2).

(I) Following is a form readable by MAGMA:

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

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

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