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On this page are computer-accessible forms for the graph C4[ 154, 1 ] = W(77,2).

(I) Following is a form readable by MAGMA:

g:=Graph<154|{ {2, 3}, {152, 153}, {150, 151}, {148, 149}, {146, 147}, {144, 145}, {142, 143}, {140, 141}, {138, 139}, {136, 137}, {134, 135}, {132, 133}, {130, 131}, {128, 129}, {126, 127}, {124, 125}, {122, 123}, {120, 121}, {118, 119}, {116, 117}, {114, 115}, {112, 113}, {110, 111}, {108, 109}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {32, 33}, {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}, {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}, {1, 2}, {153, 154}, {149, 150}, {145, 146}, {141, 142}, {137, 138}, {133, 134}, {129, 130}, {125, 126}, {121, 122}, {117, 118}, {113, 114}, {109, 110}, {49, 50}, {45, 46}, {41, 42}, {37, 38}, {33, 34}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {53, 54}, {57, 58}, {61, 62}, {65, 66}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {3, 4}, {147, 148}, {139, 140}, {131, 132}, {123, 124}, {115, 116}, {43, 44}, {35, 36}, {11, 12}, {19, 20}, {27, 28}, {51, 52}, {59, 60}, {67, 68}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {7, 8}, {151, 152}, {135, 136}, {119, 120}, {39, 40}, {23, 24}, {55, 56}, {71, 72}, {87, 88}, {103, 104}, {15, 16}, {143, 144}, {111, 112}, {47, 48}, {79, 80}, {31, 32}, {95, 96}, {1, 77}, {49, 125}, {48, 124}, {35, 111}, {34, 110}, {33, 109}, {32, 108}, {2, 78}, {3, 79}, {16, 92}, {17, 93}, {18, 94}, {19, 95}, {50, 126}, {51, 127}, {1, 79}, {49, 127}, {48, 126}, {33, 111}, {32, 110}, {16, 94}, {17, 95}, {2, 80}, {47, 125}, {46, 124}, {43, 121}, {42, 120}, {39, 117}, {38, 116}, {35, 113}, {34, 112}, {3, 81}, {6, 84}, {7, 85}, {10, 88}, {11, 89}, {14, 92}, {15, 93}, {4, 80}, {47, 123}, {46, 122}, {45, 121}, {44, 120}, {39, 115}, {38, 114}, {37, 113}, {36, 112}, {5, 81}, {6, 82}, {7, 83}, {12, 88}, {13, 89}, {14, 90}, {15, 91}, {4, 82}, {45, 123}, {44, 122}, {37, 115}, {36, 114}, {5, 83}, {12, 90}, {13, 91}, {8, 84}, {43, 119}, {42, 118}, {41, 117}, {40, 116}, {9, 85}, {10, 86}, {11, 87}, {8, 86}, {41, 119}, {40, 118}, {9, 87}, {18, 96}, {31, 109}, {19, 97}, {22, 100}, {23, 101}, {26, 104}, {27, 105}, {30, 108}, {20, 96}, {21, 97}, {22, 98}, {23, 99}, {28, 104}, {29, 105}, {30, 106}, {31, 107}, {20, 98}, {21, 99}, {28, 106}, {29, 107}, {24, 100}, {25, 101}, {26, 102}, {27, 103}, {24, 102}, {25, 103}, {63, 64}, {1, 154}, {50, 128}, {51, 129}, {54, 132}, {55, 133}, {58, 136}, {59, 137}, {62, 140}, {63, 141}, {52, 128}, {53, 129}, {54, 130}, {55, 131}, {60, 136}, {61, 137}, {62, 138}, {63, 139}, {52, 130}, {53, 131}, {60, 138}, {61, 139}, {56, 132}, {57, 133}, {58, 134}, {59, 135}, {56, 134}, {57, 135}, {64, 140}, {65, 141}, {66, 142}, {67, 143}, {64, 142}, {65, 143}, {66, 144}, {67, 145}, {70, 148}, {71, 149}, {74, 152}, {75, 153}, {68, 144}, {69, 145}, {70, 146}, {71, 147}, {76, 152}, {77, 153}, {78, 154}, {68, 146}, {69, 147}, {76, 154}, {72, 148}, {73, 149}, {74, 150}, {75, 151}, {72, 150}, {73, 151}, {127, 128} }>;

(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: (59, 136)
b: (52, 129)
c: (74, 151)
d: (28, 105)
e: (11, 88)
f: (14, 91)
g: (58, 135)
h: (35, 112)
m: (32, 109)
n1: (70, 147)
a1: (8, 85)
b1: (43, 120)
c1: (68, 145)
d1: (15, 92)
e1: (48, 125)
f1: (50, 127)
g1: (69, 146)
h1: (66, 143)
m1: (40, 117)
n2: (2, 79)
a2: (12, 89)
b2: (27, 104)
c2: (42, 119)
d2: (29, 106)
e2: (34, 111)
f2: (9, 86)
g2: (54, 131)
h2: (21, 98)
m2: (51, 128)
n3: (5, 82)
a3: (6, 83)
b3: (10, 87)
c3: (13, 90)
d3: (46, 123)
e3: (45, 122)
f3: (22, 99)
g3: (77, 154)
h3: (57, 134)
m3: (17, 94)
n4: (3, 80)
a4: (65, 142)
b4: (2, 77)(3, 76)(4, 75)(5, 74)(6, 73)(7, 72)(8, 71)(9, 70)(10, 69)(11, 68)(12, 67)(13, 66)(14, 65)(15, 64)(16, 63)(17, 62)(18, 61)(19, 60)(20, 59)(21, 58)(22, 57)(23, 56)(24, 55)(25, 54)(26, 53)(27, 52)(28, 51)(29, 50)(30, 49)(31, 48)(32, 47)(33, 46)(34, 45)(35, 44)(36, 43)(37, 42)(38, 41)(39, 40)(79, 154)(80, 153)(81, 152)(82, 151)(83, 150)(84, 149)(85, 148)(86, 147)(87, 146)(88, 145)(89, 144)(90, 143)(91, 142)(92, 141)(93, 140)(94, 139)(95, 138)(96, 137)(97, 136)(98, 135)(99, 134)(100, 133)(101, 132)(102, 131)(103, 130)(104, 129)(105, 128)(106, 127)(107, 126)(108, 125)(109, 124)(110, 123)(111, 122)(112, 121)(113, 120)(114, 119)(115, 118)(116, 117)
c4: (36, 113)
d4: (75, 152)
e4: (49, 126)
f4: (61, 138)
g4: (31, 108)
h4: (26, 103)
m4: (24, 101)
n5: (23, 100)
a5: (55, 132)
b5: (33, 110)
c5: (39, 116)
d5: (4, 81)
e5: (64, 141)
f5: (30, 107)
g5: (16, 93)
h5: (44, 121)
m5: (20, 97)
n6: (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, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154)
a6: (25, 102)
b6: (37, 114)
c6: (73, 150)
d6: (18, 95)
e6: (56, 133)
f6: (41, 118)
g6: (53, 130)
h6: (71, 148)
m6: (47, 124)
n7: (62, 139)
a7: (63, 140)
b7: (72, 149)
c7: (19, 96)
d7: (7, 84)
e7: (76, 153)
f7: (67, 144)
g7: (60, 137)

(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[ 154, 1 ]
154
-1 77 154 2 79
-2 1 78 3 80
-3 2 79 4 81
-4 3 80 5 82
-5 4 81 6 83
-6 5 82 7 84
-7 6 83 8 85
-8 7 84 9 86
-9 8 85 10 87
-10 11 88 9 86
-11 12 89 10 87
-12 11 88 13 90
-13 12 89 14 91
-14 13 90 15 92
-15 14 91 16 93
-16 15 92 17 94
-17 16 93 18 95
-18 17 94 19 96
-19 18 95 20 97
-20 19 96 21 98
-21 22 99 20 97
-22 23 100 21 98
-23 22 99 24 101
-24 23 100 25 102
-25 24 101 26 103
-26 25 102 27 104
-27 26 103 28 105
-28 27 104 29 106
-29 28 105 30 107
-30 29 106 31 108
-31 30 107 32 109
-32 33 110 31 108
-33 34 111 32 109
-34 33 110 35 112
-35 34 111 36 113
-36 35 112 37 114
-37 36 113 38 115
-38 37 114 39 116
-39 38 115 40 117
-40 39 116 41 118
-41 40 117 42 119
-42 41 118 43 120
-43 44 121 42 119
-44 45 122 43 120
-45 44 121 46 123
-46 45 122 47 124
-47 46 123 48 125
-48 47 124 49 126
-49 48 125 50 127
-50 49 126 51 128
-51 50 127 52 129
-52 51 128 53 130
-53 52 129 54 131
-54 55 132 53 130
-55 56 133 54 131
-56 55 132 57 134
-57 56 133 58 135
-58 57 134 59 136
-59 58 135 60 137
-60 59 136 61 138
-61 60 137 62 139
-62 61 138 63 140
-63 62 139 64 141
-64 63 140 65 142
-65 66 143 64 141
-66 67 144 65 142
-67 66 143 68 145
-68 67 144 69 146
-69 68 145 70 147
-70 69 146 71 148
-71 70 147 72 149
-72 71 148 73 150
-73 72 149 74 151
-74 73 150 75 152
-75 74 151 76 153
-76 77 154 75 152
-77 1 78 76 153
-78 77 154 2 79
-79 1 78 3 80
-80 2 79 4 81
-81 3 80 5 82
-82 4 81 6 83
-83 5 82 7 84
-84 6 83 8 85
-85 7 84 9 86
-86 8 85 10 87
-87 11 88 9 86
-88 12 89 10 87
-89 11 88 13 90
-90 12 89 14 91
-91 13 90 15 92
-92 14 91 16 93
-93 15 92 17 94
-94 16 93 18 95
-95 17 94 19 96
-96 18 95 20 97
-97 19 96 21 98
-98 22 99 20 97
-99 23 100 21 98
-100 22 99 24 101
-101 23 100 25 102
-102 24 101 26 103
-103 25 102 27 104
-104 26 103 28 105
-105 27 104 29 106
-106 28 105 30 107
-107 29 106 31 108
-108 30 107 32 109
-109 33 110 31 108
-110 34 111 32 109
-111 33 110 35 112
-112 34 111 36 113
-113 35 112 37 114
-114 36 113 38 115
-115 37 114 39 116
-116 38 115 40 117
-117 39 116 41 118
-118 40 117 42 119
-119 41 118 43 120
-120 44 121 42 119
-121 45 122 43 120
-122 44 121 46 123
-123 45 122 47 124
-124 46 123 48 125
-125 47 124 49 126
-126 48 125 50 127
-127 49 126 51 128
-128 50 127 52 129
-129 51 128 53 130
-130 52 129 54 131
-131 55 132 53 130
-132 56 133 54 131
-133 55 132 57 134
-134 56 133 58 135
-135 57 134 59 136
-136 58 135 60 137
-137 59 136 61 138
-138 60 137 62 139
-139 61 138 63 140
-140 62 139 64 141
-141 63 140 65 142
-142 66 143 64 141
-143 67 144 65 142
-144 66 143 68 145
-145 67 144 69 146
-146 68 145 70 147
-147 69 146 71 148
-148 70 147 72 149
-149 71 148 73 150
-150 72 149 74 151
-151 73 150 75 152
-152 74 151 76 153
-153 77 154 75 152
-154 1 78 76 153
0

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