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On this page are computer-accessible forms for the graph C4[ 122, 1 ] = W(61,2).

(I) Following is a form readable by MAGMA:

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

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

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