Graph forms
for C4 [ 222, 1 ] = W(111,2)
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On this page are computer-accessible forms for the graph C4[ 222, 1 ] =
W(111,2).
(I) Following is a form readable by MAGMA:
g:=Graph<222|{ {2, 3}, {220, 221}, {218, 219}, {216, 217}, {214, 215}, {212,
213}, {210, 211}, {208, 209}, {206, 207}, {204, 205}, {202, 203}, {200, 201},
{198, 199}, {196, 197}, {194, 195}, {192, 193}, {190, 191}, {188, 189}, {186,
187}, {184, 185}, {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}, {66, 67}, {64, 65}, {62, 63},
{60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47},
{44, 45}, {42, 43}, {40, 41}, {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}, {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}, {1, 2}, {221, 222}, {217, 218},
{213, 214}, {209, 210}, {205, 206}, {201, 202}, {197, 198}, {193, 194}, {189,
190}, {185, 186}, {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},
{65, 66}, {61, 62}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {5, 6},
{9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38},
{69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98},
{101, 102}, {105, 106}, {109, 110}, {3, 4}, {219, 220}, {211, 212}, {203, 204},
{195, 196}, {187, 188}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {147,
148}, {139, 140}, {131, 132}, {123, 124}, {115, 116}, {67, 68}, {59, 60}, {51,
52}, {43, 44}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {75, 76}, {83, 84}, {91,
92}, {99, 100}, {107, 108}, {7, 8}, {215, 216}, {199, 200}, {183, 184}, {167,
168}, {151, 152}, {135, 136}, {119, 120}, {55, 56}, {23, 24}, {39, 40}, {71,
72}, {87, 88}, {103, 104}, {15, 16}, {207, 208}, {175, 176}, {143, 144}, {47,
48}, {79, 80}, {111, 112}, {31, 32}, {159, 160}, {95, 96}, {1, 111}, {16, 126},
{17, 127}, {1, 113}, {2, 114}, {3, 115}, {4, 116}, {5, 117}, {6, 118}, {7, 119},
{8, 120}, {9, 121}, {10, 122}, {11, 123}, {12, 124}, {13, 125}, {14, 126}, {15,
127}, {2, 112}, {3, 113}, {6, 116}, {7, 117}, {10, 120}, {11, 121}, {14, 124},
{15, 125}, {4, 114}, {5, 115}, {12, 122}, {13, 123}, {8, 118}, {9, 119}, {63,
64}, {191, 192}, {16, 128}, {63, 175}, {62, 174}, {61, 173}, {60, 172}, {59,
171}, {58, 170}, {57, 169}, {56, 168}, {55, 167}, {54, 166}, {53, 165}, {52,
164}, {51, 163}, {50, 162}, {49, 161}, {48, 160}, {17, 129}, {18, 130}, {19,
131}, {20, 132}, {21, 133}, {22, 134}, {23, 135}, {24, 136}, {25, 137}, {26,
138}, {27, 139}, {28, 140}, {29, 141}, {30, 142}, {31, 143}, {80, 192}, {81,
193}, {82, 194}, {83, 195}, {84, 196}, {85, 197}, {86, 198}, {87, 199}, {88,
200}, {89, 201}, {90, 202}, {91, 203}, {92, 204}, {93, 205}, {94, 206}, {95,
207}, {18, 128}, {63, 173}, {62, 172}, {59, 169}, {58, 168}, {55, 165}, {54,
164}, {51, 161}, {50, 160}, {19, 129}, {22, 132}, {23, 133}, {26, 136}, {27,
137}, {30, 140}, {31, 141}, {82, 192}, {83, 193}, {86, 196}, {87, 197}, {90,
200}, {91, 201}, {94, 204}, {95, 205}, {20, 130}, {61, 171}, {60, 170}, {53,
163}, {52, 162}, {21, 131}, {28, 138}, {29, 139}, {84, 194}, {85, 195}, {92,
202}, {93, 203}, {24, 134}, {57, 167}, {56, 166}, {25, 135}, {88, 198}, {89,
199}, {32, 142}, {49, 159}, {48, 158}, {33, 143}, {96, 206}, {97, 207}, {112,
222}, {32, 144}, {47, 159}, {46, 158}, {45, 157}, {44, 156}, {43, 155}, {42,
154}, {41, 153}, {40, 152}, {33, 145}, {34, 146}, {35, 147}, {36, 148}, {37,
149}, {38, 150}, {39, 151}, {96, 208}, {97, 209}, {98, 210}, {99, 211}, {100,
212}, {101, 213}, {102, 214}, {103, 215}, {104, 216}, {105, 217}, {106, 218},
{107, 219}, {108, 220}, {109, 221}, {110, 222}, {34, 144}, {47, 157}, {46, 156},
{43, 153}, {42, 152}, {35, 145}, {38, 148}, {39, 149}, {98, 208}, {99, 209},
{102, 212}, {103, 213}, {106, 216}, {107, 217}, {110, 220}, {111, 221}, {36,
146}, {45, 155}, {44, 154}, {37, 147}, {100, 210}, {101, 211}, {108, 218}, {109,
219}, {40, 150}, {41, 151}, {104, 214}, {105, 215}, {1, 222}, {64, 174}, {65,
175}, {80, 190}, {81, 191}, {64, 176}, {66, 178}, {65, 177}, {67, 179}, {68,
180}, {69, 181}, {70, 182}, {71, 183}, {72, 184}, {73, 185}, {74, 186}, {75,
187}, {76, 188}, {77, 189}, {78, 190}, {79, 191}, {66, 176}, {67, 177}, {70,
180}, {71, 181}, {74, 184}, {75, 185}, {78, 188}, {79, 189}, {68, 178}, {69,
179}, {76, 186}, {77, 187}, {72, 182}, {73, 183}, {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: (103, 214) (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: (101, 212)
c: (108, 219)
d: (83, 194)
e: (42, 153)
f: (8, 119)
g: (64, 175)
h: (53, 164)
m: (6, 117)
n1: (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, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196,
197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212,
213, 214, 215, 216, 217, 218, 219, 220, 221, 222)
a1: (71, 182)
b1: (23, 134)
c1: (7, 118)
d1: (57, 168)
e1: (91, 202)
f1: (93, 204)
g1: (41, 152)
h1: (95, 206)
m1: (10, 121)
n2: (72, 183)
a2: (92, 203)
b2: (26, 137)
c2: (76, 187)
d2: (54, 165)
e2: (107, 218)
f2: (2, 113)
g2: (70, 181)
h2: (87, 198)
m2: (111, 222)
n3: (33, 144)
a3: (29, 140)
b3: (3, 114)
c3: (16, 127)
d3: (80, 191)
e3: (24, 135)
f3: (86, 197)
g3: (63, 174)
h3: (65, 176)
m3: (106, 217)
n4: (85, 196)
a4: (44, 155)
b4: (105, 216)
c4: (2, 111)(3, 110)(4, 109)(5, 108)(6, 107)(7, 106)(8, 105)(9, 104)(10,
103)(11, 102)(12, 101)(13, 100)(14, 99)(15, 98)(16, 97)(17, 96)(18, 95)(19,
94)(20, 93)(21, 92)(22, 91)(23, 90)(24, 89)(25, 88)(26, 87)(27, 86)(28, 85)(29,
84)(30, 83)(31, 82)(32, 81)(33, 80)(34, 79)(35, 78)(36, 77)(37, 76)(38, 75)(39,
74)(40, 73)(41, 72)(42, 71)(43, 70)(44, 69)(45, 68)(46, 67)(47, 66)(48, 65)(49,
64)(50, 63)(51, 62)(52, 61)(53, 60)(54, 59)(55, 58)(56, 57)(113, 222)(114,
221)(115, 220)(116, 219)(117, 218)(118, 217)(119, 216)(120, 215)(121, 214)(122,
213)(123, 212)(124, 211)(125, 210)(126, 209)(127, 208)(128, 207)(129, 206)(130,
205)(131, 204)(132, 203)(133, 202)(134, 201)(135, 200)(136, 199)(137, 198)(138,
197)(139, 196)(140, 195)(141, 194)(142, 193)(143, 192)(144, 191)(145, 190)(146,
189)(147, 188)(148, 187)(149, 186)(150, 185)(151, 184)(152, 183)(153, 182)(154,
181)(155, 180)(156, 179)(157, 178)(158, 177)(159, 176)(160, 175)(161, 174)(162,
173)(163, 172)(164, 171)(165, 170)(166, 169)(167, 168)
d4: (19, 130)
e4: (60, 171)
f4: (81, 192)
g4: (61, 172)
h4: (99, 210)
m4: (45, 156)
n5: (51, 162)
a5: (18, 129)
b5: (84, 195)
c5: (15, 126)
d5: (37, 148)
e5: (102, 213)
f5: (40, 151)
g5: (39, 150)
h5: (77, 188)
m5: (62, 173)
n6: (22, 133)
a6: (88, 199)
b6: (13, 124)
c6: (96, 207)
d6: (30, 141)
e6: (46, 157)
f6: (49, 160)
g6: (5, 116)
h6: (74, 185)
m6: (110, 221)
n7: (48, 159)
a7: (50, 161)
b7: (21, 132)
c7: (9, 120)
d7: (66, 177)
e7: (69, 180)
f7: (89, 200)
g7: (52, 163)
h7: (31, 142)
m7: (73, 184)
n8: (67, 178)
a8: (14, 125)
b8: (94, 205)
c8: (32, 143)
d8: (27, 138)
e8: (12, 123)
f8: (56, 167)
g8: (4, 115)
h8: (47, 158)
m8: (79, 190)
n9: (104, 215)
a9: (43, 154)
b9: (38, 149)
c9: (68, 179)
d9: (20, 131)
e9: (82, 193)
f9: (25, 136)
g9: (109, 220)
h9: (35, 146)
m9: (75, 186)
n10: (58, 169)
a10: (100, 211)
b10: (34, 145)
c10: (11, 122)
d10: (17, 128)
e10: (90, 201)
f10: (78, 189)
g10: (28, 139)
h10: (97, 208)
m10: (36, 147)
n11: (98, 209)
a11: (59, 170)
C4[ 222, 1 ]
222
-1 111 2 222 113
-2 1 112 3 114
-3 2 113 4 115
-4 3 114 5 116
-5 4 115 6 117
-6 5 116 7 118
-7 6 117 8 119
-8 7 118 9 120
-9 121 8 119 10
-10 11 122 9 120
-11 121 12 123 10
-12 11 122 13 124
-13 12 123 14 125
-14 13 124 15 126
-15 14 125 16 127
-16 15 126 17 128
-17 16 127 18 129
-18 17 128 19 130
-19 18 129 20 131
-20 132 19 130 21
-21 22 133 20 131
-22 132 23 134 21
-23 22 133 24 135
-24 23 134 25 136
-25 24 135 26 137
-26 25 136 27 138
-27 26 137 28 139
-28 27 138 29 140
-29 28 139 30 141
-30 29 140 31 142
-31 143 30 141 32
-32 33 144 31 142
-33 143 34 145 32
-34 33 144 35 146
-35 34 145 36 147
-36 35 146 37 148
-37 36 147 38 149
-38 37 148 39 150
-39 38 149 40 151
-40 39 150 41 152
-41 40 151 42 153
-42 154 41 152 43
-43 44 155 42 153
-44 154 45 156 43
-45 44 155 46 157
-46 45 156 47 158
-47 46 157 48 159
-48 47 158 49 160
-49 48 159 50 161
-50 49 160 51 162
-51 50 161 52 163
-52 51 162 53 164
-53 165 52 163 54
-54 55 166 53 164
-55 165 56 167 54
-56 55 166 57 168
-57 56 167 58 169
-58 57 168 59 170
-59 58 169 60 171
-60 59 170 61 172
-61 60 171 62 173
-62 61 172 63 174
-63 62 173 64 175
-64 176 63 174 65
-65 66 177 64 175
-66 176 67 178 65
-67 66 177 68 179
-68 67 178 69 180
-69 68 179 70 181
-70 69 180 71 182
-71 70 181 72 183
-72 71 182 73 184
-73 72 183 74 185
-74 73 184 75 186
-75 187 74 185 76
-76 77 188 75 186
-77 187 78 189 76
-78 77 188 79 190
-79 78 189 80 191
-80 79 190 81 192
-81 80 191 82 193
-82 81 192 83 194
-83 82 193 84 195
-84 83 194 85 196
-85 84 195 86 197
-86 198 85 196 87
-87 88 199 86 197
-88 198 89 200 87
-89 88 199 90 201
-90 89 200 91 202
-91 90 201 92 203
-92 91 202 93 204
-93 92 203 94 205
-94 93 204 95 206
-95 94 205 96 207
-96 95 206 97 208
-97 209 96 207 98
-98 99 210 97 208
-99 209 100 211 98
-100 99 210 101 212
-101 100 211 102 213
-102 101 212 103 214
-103 102 213 104 215
-104 103 214 105 216
-105 104 215 106 217
-106 105 216 107 218
-107 106 217 108 219
-108 220 107 218 109
-109 110 221 108 219
-110 220 111 222 109
-111 110 1 221 112
-112 111 2 222 113
-113 1 112 3 114
-114 2 113 4 115
-115 3 114 5 116
-116 4 115 6 117
-117 5 116 7 118
-118 6 117 8 119
-119 7 118 9 120
-120 121 8 119 10
-121 11 122 9 120
-122 121 12 123 10
-123 11 122 13 124
-124 12 123 14 125
-125 13 124 15 126
-126 14 125 16 127
-127 15 126 17 128
-128 16 127 18 129
-129 17 128 19 130
-130 18 129 20 131
-131 132 19 130 21
-132 22 133 20 131
-133 132 23 134 21
-134 22 133 24 135
-135 23 134 25 136
-136 24 135 26 137
-137 25 136 27 138
-138 26 137 28 139
-139 27 138 29 140
-140 28 139 30 141
-141 29 140 31 142
-142 143 30 141 32
-143 33 144 31 142
-144 143 34 145 32
-145 33 144 35 146
-146 34 145 36 147
-147 35 146 37 148
-148 36 147 38 149
-149 37 148 39 150
-150 38 149 40 151
-151 39 150 41 152
-152 40 151 42 153
-153 154 41 152 43
-154 44 155 42 153
-155 154 45 156 43
-156 44 155 46 157
-157 45 156 47 158
-158 46 157 48 159
-159 47 158 49 160
-160 48 159 50 161
-161 49 160 51 162
-162 50 161 52 163
-163 51 162 53 164
-164 165 52 163 54
-165 55 166 53 164
-166 165 56 167 54
-167 55 166 57 168
-168 56 167 58 169
-169 57 168 59 170
-170 58 169 60 171
-171 59 170 61 172
-172 60 171 62 173
-173 61 172 63 174
-174 62 173 64 175
-175 176 63 174 65
-176 66 177 64 175
-177 176 67 178 65
-178 66 177 68 179
-179 67 178 69 180
-180 68 179 70 181
-181 69 180 71 182
-182 70 181 72 183
-183 71 182 73 184
-184 72 183 74 185
-185 73 184 75 186
-186 187 74 185 76
-187 77 188 75 186
-188 187 78 189 76
-189 77 188 79 190
-190 78 189 80 191
-191 79 190 81 192
-192 80 191 82 193
-193 81 192 83 194
-194 82 193 84 195
-195 83 194 85 196
-196 84 195 86 197
-197 198 85 196 87
-198 88 199 86 197
-199 198 89 200 87
-200 88 199 90 201
-201 89 200 91 202
-202 90 201 92 203
-203 91 202 93 204
-204 92 203 94 205
-205 93 204 95 206
-206 94 205 96 207
-207 95 206 97 208
-208 209 96 207 98
-209 99 210 97 208
-210 209 100 211 98
-211 99 210 101 212
-212 100 211 102 213
-213 101 212 103 214
-214 102 213 104 215
-215 103 214 105 216
-216 104 215 106 217
-217 105 216 107 218
-218 106 217 108 219
-219 220 107 218 109
-220 110 221 108 219
-221 220 111 222 109
-222 110 1 221 112
0