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