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On this page are computer-accessible forms for the graph C4[ 124, 1 ] = W(62,2).

(I) Following is a form readable by MAGMA:

g:=Graph<124|{ {2, 3}, {122, 123}, {120, 121}, {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}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {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}, {1, 2}, {121, 122}, {117, 118}, {113, 114}, {109, 110}, {105, 106}, {101, 102}, {97, 98}, {93, 94}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {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}, {3, 4}, {123, 124}, {115, 116}, {107, 108}, {99, 100}, {91, 92}, {83, 84}, {75, 76}, {35, 36}, {27, 28}, {11, 12}, {19, 20}, {43, 44}, {51, 52}, {59, 60}, {67, 68}, {7, 8}, {119, 120}, {103, 104}, {87, 88}, {71, 72}, {23, 24}, {39, 40}, {55, 56}, {15, 16}, {111, 112}, {79, 80}, {47, 48}, {2, 63}, {1, 62}, {95, 96}, {31, 32}, {1, 64}, {37, 100}, {35, 98}, {33, 96}, {31, 94}, {29, 92}, {27, 90}, {25, 88}, {3, 66}, {5, 68}, {7, 70}, {9, 72}, {11, 74}, {13, 76}, {15, 78}, {17, 80}, {19, 82}, {21, 84}, {23, 86}, {39, 102}, {41, 104}, {43, 106}, {45, 108}, {47, 110}, {49, 112}, {51, 114}, {53, 116}, {55, 118}, {57, 120}, {59, 122}, {61, 124}, {2, 65}, {38, 101}, {35, 96}, {34, 97}, {31, 92}, {30, 93}, {27, 88}, {26, 89}, {3, 64}, {6, 69}, {7, 68}, {10, 73}, {11, 72}, {14, 77}, {15, 76}, {18, 81}, {19, 80}, {22, 85}, {23, 84}, {39, 100}, {42, 105}, {43, 104}, {46, 109}, {47, 108}, {50, 113}, {51, 112}, {54, 117}, {55, 116}, {58, 121}, {59, 120}, {63, 124}, {4, 65}, {38, 99}, {36, 97}, {30, 91}, {28, 89}, {6, 67}, {12, 73}, {14, 75}, {20, 81}, {22, 83}, {44, 105}, {46, 107}, {52, 113}, {54, 115}, {60, 121}, {62, 123}, {4, 67}, {37, 98}, {36, 99}, {29, 90}, {28, 91}, {5, 66}, {12, 75}, {13, 74}, {20, 83}, {21, 82}, {44, 107}, {45, 106}, {52, 115}, {53, 114}, {60, 123}, {61, 122}, {8, 69}, {26, 87}, {24, 85}, {10, 71}, {40, 101}, {42, 103}, {56, 117}, {58, 119}, {8, 71}, {25, 86}, {24, 87}, {9, 70}, {40, 103}, {41, 102}, {56, 119}, {57, 118}, {16, 77}, {18, 79}, {48, 109}, {50, 111}, {16, 79}, {17, 78}, {48, 111}, {49, 110}, {1, 124}, {34, 95}, {32, 93}, {32, 95}, {33, 94}, {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: (14, 76)
b: (45, 107)
c: (46, 108)
d: (58, 120)
e: (6, 68)
f: (37, 99)
g: (21, 83)
h: (42, 104)
m: (33, 95)
n1: (10, 72)
a1: (41, 103)
b1: (62, 124)
c1: (3, 65)
d1: (23, 85)
e1: (43, 105)
f1: (20, 82)
g1: (44, 106)
h1: (19, 81)
m1: (47, 109)
n2: (16, 78)
a2: (48, 110)
b2: (60, 122)
c2: (4, 66)
d2: (59, 121)
e2: (7, 69)
f2: (56, 118)
g2: (8, 70)
h2: (55, 117)
m2: (11, 73)
n3: (52, 114)
a3: (12, 74)
b3: (51, 113)
c3: (15, 77)
d3: (40, 102)
e3: (24, 86)
f3: (39, 101)
g3: (27, 89)
h3: (36, 98)
m3: (28, 90)
n4: (35, 97)
a4: (31, 93)
b4: (32, 94)
c4: (25, 87)
d4: (29, 91)
e4: (34, 96)
f4: (49, 111)
g4: (18, 80)
h4: (5, 67)
m4: (38, 100)
n5: (54, 116)
a5: (2, 62)(3, 61)(4, 60)(5, 59)(6, 58)(7, 57)(8, 56)(9, 55)(10, 54)(11, 53)(12, 52)(13, 51)(14, 50)(15, 49)(16, 48)(17, 47)(18, 46)(19, 45)(20, 44)(21, 43)(22, 42)(23, 41)(24, 40)(25, 39)(26, 38)(27, 37)(28, 36)(29, 35)(30, 34)(31, 33)(64, 124)(65, 123)(66, 122)(67, 121)(68, 120)(69, 119)(70, 118)(71, 117)(72, 116)(73, 115)(74, 114)(75, 113)(76, 112)(77, 111)(78, 110)(79, 109)(80, 108)(81, 107)(82, 106)(83, 105)(84, 104)(85, 103)(86, 102)(87, 101)(88, 100)(89, 99)(90, 98)(91, 97)(92, 96)(93, 95)
b5: (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, 121, 122, 123, 124)
c5: (57, 119)
d5: (26, 88)
e5: (53, 115)
f5: (22, 84)
g5: (2, 64)
h5: (61, 123)
m5: (9, 71)
n6: (50, 112)
a6: (13, 75)
b6: (17, 79)

(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[ 124, 1 ]
124
-1 2 124 62 64
-2 1 3 63 65
-3 66 2 4 64
-4 67 3 5 65
-5 66 68 4 6
-6 67 69 5 7
-7 68 70 6 8
-8 69 71 7 9
-9 70 72 8 10
-10 11 71 73 9
-11 12 72 74 10
-12 11 13 73 75
-13 12 14 74 76
-14 77 13 15 75
-15 78 14 16 76
-16 77 79 15 17
-17 78 80 16 18
-18 79 81 17 19
-19 80 82 18 20
-20 81 83 19 21
-21 22 82 84 20
-22 23 83 85 21
-23 22 24 84 86
-24 23 25 85 87
-25 88 24 26 86
-26 89 25 27 87
-27 88 90 26 28
-28 89 91 27 29
-29 90 92 28 30
-30 91 93 29 31
-31 92 94 30 32
-32 33 93 95 31
-33 34 94 96 32
-34 33 35 95 97
-35 34 36 96 98
-36 99 35 37 97
-37 100 36 38 98
-38 99 101 37 39
-39 100 102 38 40
-40 101 103 39 41
-41 102 104 40 42
-42 103 105 41 43
-43 44 104 106 42
-44 45 105 107 43
-45 44 46 106 108
-46 45 47 107 109
-47 110 46 48 108
-48 111 47 49 109
-49 110 112 48 50
-50 111 113 49 51
-51 112 114 50 52
-52 113 115 51 53
-53 114 116 52 54
-54 55 115 117 53
-55 56 116 118 54
-56 55 57 117 119
-57 56 58 118 120
-58 121 57 59 119
-59 122 58 60 120
-60 121 123 59 61
-61 122 124 60 62
-62 1 123 61 63
-63 2 124 62 64
-64 1 3 63 65
-65 66 2 4 64
-66 67 3 5 65
-67 66 68 4 6
-68 67 69 5 7
-69 68 70 6 8
-70 69 71 7 9
-71 70 72 8 10
-72 11 71 73 9
-73 12 72 74 10
-74 11 13 73 75
-75 12 14 74 76
-76 77 13 15 75
-77 78 14 16 76
-78 77 79 15 17
-79 78 80 16 18
-80 79 81 17 19
-81 80 82 18 20
-82 81 83 19 21
-83 22 82 84 20
-84 23 83 85 21
-85 22 24 84 86
-86 23 25 85 87
-87 88 24 26 86
-88 89 25 27 87
-89 88 90 26 28
-90 89 91 27 29
-91 90 92 28 30
-92 91 93 29 31
-93 92 94 30 32
-94 33 93 95 31
-95 34 94 96 32
-96 33 35 95 97
-97 34 36 96 98
-98 99 35 37 97
-99 100 36 38 98
-100 99 101 37 39
-101 100 102 38 40
-102 101 103 39 41
-103 102 104 40 42
-104 103 105 41 43
-105 44 104 106 42
-106 45 105 107 43
-107 44 46 106 108
-108 45 47 107 109
-109 110 46 48 108
-110 111 47 49 109
-111 110 112 48 50
-112 111 113 49 51
-113 112 114 50 52
-114 113 115 51 53
-115 114 116 52 54
-116 55 115 117 53
-117 56 116 118 54
-118 55 57 117 119
-119 56 58 118 120
-120 121 57 59 119
-121 122 58 60 120
-122 121 123 59 61
-123 122 124 60 62
-124 1 123 61 63
0

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