Graph forms
for C4 [ 184, 1 ] = W(92,2)
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On this page are computer-accessible forms for the graph C4[ 184, 1 ] =
W(92,2).
(I) Following is a form readable by MAGMA:
g:=Graph<184|{ {2, 3}, {182, 183}, {180, 181}, {178, 179}, {176, 177}, {174,
175}, {172, 173}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {162, 163},
{160, 161}, {158, 159}, {156, 157}, {154, 155}, {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}, {106, 107}, {104, 105}, {102, 103}, {100, 101}, {98, 99}, {96, 97},
{94, 95}, {92, 93}, {52, 53}, {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}, {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}, {1, 2}, {181, 182}, {177,
178}, {173, 174}, {169, 170}, {165, 166}, {161, 162}, {157, 158}, {153, 154},
{149, 150}, {145, 146}, {141, 142}, {137, 138}, {133, 134}, {129, 130}, {125,
126}, {121, 122}, {117, 118}, {113, 114}, {109, 110}, {105, 106}, {101, 102},
{97, 98}, {93, 94}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {37, 38}, {33, 34},
{5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {57, 58},
{61, 62}, {65, 66}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89, 90},
{3, 4}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {147, 148}, {139, 140},
{131, 132}, {123, 124}, {115, 116}, {107, 108}, {99, 100}, {91, 92}, {51, 52},
{43, 44}, {35, 36}, {11, 12}, {19, 20}, {27, 28}, {59, 60}, {67, 68}, {75, 76},
{83, 84}, {7, 8}, {183, 184}, {167, 168}, {151, 152}, {135, 136}, {119, 120},
{103, 104}, {39, 40}, {23, 24}, {55, 56}, {71, 72}, {87, 88}, {15, 16}, {175,
176}, {143, 144}, {111, 112}, {47, 48}, {79, 80}, {31, 32}, {159, 160}, {95,
96}, {4, 95}, {36, 127}, {32, 123}, {1, 92}, {35, 126}, {34, 127}, {33, 124},
{32, 125}, {2, 95}, {3, 94}, {1, 94}, {34, 125}, {33, 126}, {2, 93}, {3, 96},
{31, 124}, {7, 100}, {11, 104}, {15, 108}, {19, 112}, {23, 116}, {27, 120}, {4,
97}, {5, 96}, {6, 99}, {7, 98}, {12, 105}, {13, 104}, {14, 107}, {15, 106}, {20,
113}, {21, 112}, {22, 115}, {23, 114}, {28, 121}, {29, 120}, {30, 123}, {31,
122}, {5, 98}, {6, 97}, {13, 106}, {14, 105}, {21, 114}, {22, 113}, {29, 122},
{30, 121}, {8, 99}, {12, 103}, {24, 115}, {28, 119}, {8, 101}, {9, 100}, {10,
103}, {11, 102}, {24, 117}, {25, 116}, {26, 119}, {27, 118}, {9, 102}, {10,
101}, {25, 118}, {26, 117}, {16, 107}, {20, 111}, {16, 109}, {17, 108}, {18,
111}, {19, 110}, {17, 110}, {18, 109}, {63, 64}, {35, 128}, {51, 144}, {47,
140}, {43, 136}, {39, 132}, {55, 148}, {59, 152}, {63, 156}, {36, 129}, {52,
145}, {47, 138}, {46, 139}, {45, 136}, {44, 137}, {39, 130}, {38, 131}, {37,
128}, {53, 144}, {54, 147}, {55, 146}, {60, 153}, {61, 152}, {62, 155}, {63,
154}, {37, 130}, {46, 137}, {45, 138}, {38, 129}, {53, 146}, {54, 145}, {61,
154}, {62, 153}, {40, 131}, {44, 135}, {56, 147}, {60, 151}, {40, 133}, {43,
134}, {42, 135}, {41, 132}, {56, 149}, {57, 148}, {58, 151}, {59, 150}, {41,
134}, {42, 133}, {57, 150}, {58, 149}, {1, 184}, {48, 139}, {52, 143}, {48,
141}, {51, 142}, {50, 143}, {49, 140}, {49, 142}, {50, 141}, {64, 155}, {68,
159}, {64, 157}, {65, 156}, {66, 159}, {67, 158}, {65, 158}, {66, 157}, {67,
160}, {91, 184}, {71, 164}, {75, 168}, {79, 172}, {83, 176}, {87, 180}, {68,
161}, {93, 184}, {69, 160}, {70, 163}, {71, 162}, {76, 169}, {77, 168}, {78,
171}, {79, 170}, {84, 177}, {85, 176}, {86, 179}, {87, 178}, {69, 162}, {70,
161}, {77, 170}, {78, 169}, {85, 178}, {86, 177}, {72, 163}, {92, 183}, {76,
167}, {88, 179}, {72, 165}, {91, 182}, {90, 183}, {73, 164}, {74, 167}, {75,
166}, {88, 181}, {89, 180}, {73, 166}, {74, 165}, {89, 182}, {90, 181}, {80,
171}, {84, 175}, {80, 173}, {81, 172}, {82, 175}, {83, 174}, {81, 174}, {127,
128}, {82, 173} }>;
(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: (26, 118) (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.
**************
&Graph **************
b: (53, 145)
c: (89, 181)
d: (42, 134)
e: (70, 162)
f: (76, 168)
g: (28, 120)
h: (18, 110)
m: (69, 161)
n1: (52, 144)
a1: (44, 136)
b1: (66, 158)
c1: (11, 103)
d1: (83, 175)
e1: (77, 169)
f1: (91, 183)
g1: (56, 148)
h1: (82, 174)
m1: (73, 165)
n2: (19, 111)
a2: (9, 101)
b2: (54, 146)
c2: (62, 154)
d2: (17, 109)
e2: (8, 100)
f2: (23, 115)
g2: (46, 138)
h2: (90, 182)
m2: (36, 128)
n3: (47, 139)
a3: (57, 149)
b3: (88, 180)
c3: (84, 176)
d3: (79, 171)
e3: (29, 121)
f3: (67, 159)
g3: (61, 153)
h3: (60, 152)
m3: (30, 122)
n4: (51, 143)
a4: (80, 172)
b4: (64, 156)
c4: (58, 150)
d4: (14, 106)
e4: (85, 177)
f4: (92, 184)
g4: (75, 167)
h4: (6, 98)
m4: (21, 113)
n5: (13, 105)
a5: (43, 135)
b5: (65, 157)
c5: (68, 160)
d5: (20, 112)
e5: (41, 133)
f5: (72, 164)
g5: (87, 179)
h5: (3, 95)
m5: (34, 126)
n6: (12, 104)
a6: (71, 163)
b6: (40, 132)
c6: (5, 97)
d6: (74, 166)
e6: (81, 173)
f6: (48, 140)
g6: (15, 107)
h6: (38, 130)
m6: (25, 117)
n7: (49, 141)
a7: (86, 178)
b7: (16, 108)
c7: (55, 147)
d7: (63, 155)
e7: (24, 116)
f7: (32, 124)
g7: (4, 96)
h7: (35, 127)
m7: (37, 129)
n8: (27, 119)
a8: (59, 151)
b8: (7, 99)
c8: (50, 142)
d8: (2, 92)(3, 91)(4, 90)(5, 89)(6, 88)(7, 87)(8, 86)(9, 85)(10, 84)(11, 83)(12,
82)(13, 81)(14, 80)(15, 79)(16, 78)(17, 77)(18, 76)(19, 75)(20, 74)(21, 73)(22,
72)(23, 71)(24, 70)(25, 69)(26, 68)(27, 67)(28, 66)(29, 65)(30, 64)(31, 63)(32,
62)(33, 61)(34, 60)(35, 59)(36, 58)(37, 57)(38, 56)(39, 55)(40, 54)(41, 53)(42,
52)(43, 51)(44, 50)(45, 49)(46, 48)(94, 184)(95, 183)(96, 182)(97, 181)(98,
180)(99, 179)(100, 178)(101, 177)(102, 176)(103, 175)(104, 174)(105, 173)(106,
172)(107, 171)(108, 170)(109, 169)(110, 168)(111, 167)(112, 166)(113, 165)(114,
164)(115, 163)(116, 162)(117, 161)(118, 160)(119, 159)(120, 158)(121, 157)(122,
156)(123, 155)(124, 154)(125, 153)(126, 152)(127, 151)(128, 150)(129, 149)(130,
148)(131, 147)(132, 146)(133, 145)(134, 144)(135, 143)(136, 142)(137, 141)(138,
140)
e8: (22, 114)
f8: (78, 170)
g8: (10, 102)
h8: (31, 123)
m8: (39, 131)
n9: (33, 125)
a9: (2, 94)
b9: (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, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164,
165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180,
181, 182, 183, 184)
C4[ 184, 1 ]
184
-1 2 92 94 184
-2 1 3 93 95
-3 2 4 94 96
-4 3 5 95 97
-5 4 6 96 98
-6 99 5 7 97
-7 100 6 8 98
-8 99 101 7 9
-9 100 102 8 10
-10 11 101 103 9
-11 12 102 104 10
-12 11 13 103 105
-13 12 14 104 106
-14 13 15 105 107
-15 14 16 106 108
-16 15 17 107 109
-17 110 16 18 108
-18 111 17 19 109
-19 110 112 18 20
-20 111 113 19 21
-21 22 112 114 20
-22 23 113 115 21
-23 22 24 114 116
-24 23 25 115 117
-25 24 26 116 118
-26 25 27 117 119
-27 26 28 118 120
-28 121 27 29 119
-29 122 28 30 120
-30 121 123 29 31
-31 122 124 30 32
-32 33 123 125 31
-33 34 124 126 32
-34 33 35 125 127
-35 34 36 126 128
-36 35 37 127 129
-37 36 38 128 130
-38 37 39 129 131
-39 132 38 40 130
-40 133 39 41 131
-41 132 134 40 42
-42 133 135 41 43
-43 44 134 136 42
-44 45 135 137 43
-45 44 46 136 138
-46 45 47 137 139
-47 46 48 138 140
-48 47 49 139 141
-49 48 50 140 142
-50 143 49 51 141
-51 144 50 52 142
-52 143 145 51 53
-53 144 146 52 54
-54 55 145 147 53
-55 56 146 148 54
-56 55 57 147 149
-57 56 58 148 150
-58 57 59 149 151
-59 58 60 150 152
-60 59 61 151 153
-61 154 60 62 152
-62 155 61 63 153
-63 154 156 62 64
-64 155 157 63 65
-65 66 156 158 64
-66 67 157 159 65
-67 66 68 158 160
-68 67 69 159 161
-69 68 70 160 162
-70 69 71 161 163
-71 70 72 162 164
-72 165 71 73 163
-73 166 72 74 164
-74 165 167 73 75
-75 166 168 74 76
-76 77 167 169 75
-77 78 168 170 76
-78 77 79 169 171
-79 78 80 170 172
-80 79 81 171 173
-81 80 82 172 174
-82 81 83 173 175
-83 176 82 84 174
-84 177 83 85 175
-85 176 178 84 86
-86 177 179 85 87
-87 88 178 180 86
-88 89 179 181 87
-89 88 90 180 182
-90 89 91 181 183
-91 90 92 182 184
-92 1 91 93 183
-93 2 92 94 184
-94 1 3 93 95
-95 2 4 94 96
-96 3 5 95 97
-97 4 6 96 98
-98 99 5 7 97
-99 100 6 8 98
-100 99 101 7 9
-101 100 102 8 10
-102 11 101 103 9
-103 12 102 104 10
-104 11 13 103 105
-105 12 14 104 106
-106 13 15 105 107
-107 14 16 106 108
-108 15 17 107 109
-109 110 16 18 108
-110 111 17 19 109
-111 110 112 18 20
-112 111 113 19 21
-113 22 112 114 20
-114 23 113 115 21
-115 22 24 114 116
-116 23 25 115 117
-117 24 26 116 118
-118 25 27 117 119
-119 26 28 118 120
-120 121 27 29 119
-121 122 28 30 120
-122 121 123 29 31
-123 122 124 30 32
-124 33 123 125 31
-125 34 124 126 32
-126 33 35 125 127
-127 34 36 126 128
-128 35 37 127 129
-129 36 38 128 130
-130 37 39 129 131
-131 132 38 40 130
-132 133 39 41 131
-133 132 134 40 42
-134 133 135 41 43
-135 44 134 136 42
-136 45 135 137 43
-137 44 46 136 138
-138 45 47 137 139
-139 46 48 138 140
-140 47 49 139 141
-141 48 50 140 142
-142 143 49 51 141
-143 144 50 52 142
-144 143 145 51 53
-145 144 146 52 54
-146 55 145 147 53
-147 56 146 148 54
-148 55 57 147 149
-149 56 58 148 150
-150 57 59 149 151
-151 58 60 150 152
-152 59 61 151 153
-153 154 60 62 152
-154 155 61 63 153
-155 154 156 62 64
-156 155 157 63 65
-157 66 156 158 64
-158 67 157 159 65
-159 66 68 158 160
-160 67 69 159 161
-161 68 70 160 162
-162 69 71 161 163
-163 70 72 162 164
-164 165 71 73 163
-165 166 72 74 164
-166 165 167 73 75
-167 166 168 74 76
-168 77 167 169 75
-169 78 168 170 76
-170 77 79 169 171
-171 78 80 170 172
-172 79 81 171 173
-173 80 82 172 174
-174 81 83 173 175
-175 176 82 84 174
-176 177 83 85 175
-177 176 178 84 86
-178 177 179 85 87
-179 88 178 180 86
-180 89 179 181 87
-181 88 90 180 182
-182 89 91 181 183
-183 90 92 182 184
-184 1 91 93 183
0