Graph forms
for C4 [ 252, 1 ] = W(126,2)
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On this page are computer-accessible forms for the graph C4[ 252, 1 ] =
W(126,2).
(I) Following is a form readable by MAGMA:
g:=Graph<252|{ {2, 3}, {250, 251}, {248, 249}, {246, 247}, {244, 245}, {242,
243}, {240, 241}, {238, 239}, {236, 237}, {234, 235}, {232, 233}, {230, 231},
{228, 229}, {226, 227}, {224, 225}, {222, 223}, {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}, {82, 83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {72, 73}, {70,
71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54,
55}, {52, 53}, {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}, {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},
{1, 2}, {249, 250}, {245, 246}, {241, 242}, {237, 238}, {233, 234}, {229, 230},
{225, 226}, {221, 222}, {217, 218}, {213, 214}, {209, 210}, {205, 206}, {201,
202}, {197, 198}, {193, 194}, {189, 190}, {185, 186}, {181, 182}, {177, 178},
{81, 82}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54},
{5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34},
{37, 38}, {41, 42}, {45, 46}, {49, 50}, {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}, {141, 142}, {145, 146}, {149, 150},
{153, 154}, {157, 158}, {161, 162}, {165, 166}, {169, 170}, {173, 174}, {3, 4},
{251, 252}, {243, 244}, {235, 236}, {227, 228}, {219, 220}, {211, 212}, {203,
204}, {195, 196}, {187, 188}, {179, 180}, {83, 84}, {75, 76}, {67, 68}, {59,
60}, {51, 52}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {91, 92}, {99,
100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {147, 148},
{155, 156}, {163, 164}, {171, 172}, {7, 8}, {247, 248}, {231, 232}, {215, 216},
{199, 200}, {183, 184}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {87, 88}, {103,
104}, {119, 120}, {135, 136}, {151, 152}, {167, 168}, {15, 16}, {239, 240},
{207, 208}, {175, 176}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {31, 32},
{223, 224}, {95, 96}, {159, 160}, {2, 127}, {1, 126}, {191, 192}, {63, 64}, {1,
128}, {83, 210}, {81, 208}, {79, 206}, {77, 204}, {75, 202}, {73, 200}, {71,
198}, {69, 196}, {67, 194}, {65, 192}, {63, 190}, {61, 188}, {59, 186}, {57,
184}, {55, 182}, {53, 180}, {51, 178}, {3, 130}, {5, 132}, {7, 134}, {9, 136},
{11, 138}, {13, 140}, {15, 142}, {17, 144}, {19, 146}, {21, 148}, {23, 150},
{25, 152}, {27, 154}, {29, 156}, {31, 158}, {33, 160}, {35, 162}, {37, 164},
{39, 166}, {41, 168}, {43, 170}, {45, 172}, {47, 174}, {49, 176}, {85, 212},
{87, 214}, {89, 216}, {91, 218}, {93, 220}, {95, 222}, {97, 224}, {99, 226},
{101, 228}, {103, 230}, {105, 232}, {107, 234}, {109, 236}, {111, 238}, {113,
240}, {115, 242}, {117, 244}, {119, 246}, {121, 248}, {123, 250}, {125, 252},
{2, 129}, {83, 208}, {82, 209}, {79, 204}, {78, 205}, {75, 200}, {74, 201}, {71,
196}, {70, 197}, {67, 192}, {66, 193}, {63, 188}, {62, 189}, {59, 184}, {58,
185}, {55, 180}, {54, 181}, {51, 176}, {50, 177}, {3, 128}, {6, 133}, {7, 132},
{10, 137}, {11, 136}, {14, 141}, {15, 140}, {18, 145}, {19, 144}, {22, 149},
{23, 148}, {26, 153}, {27, 152}, {30, 157}, {31, 156}, {34, 161}, {35, 160},
{38, 165}, {39, 164}, {42, 169}, {43, 168}, {46, 173}, {47, 172}, {86, 213},
{87, 212}, {90, 217}, {91, 216}, {94, 221}, {95, 220}, {98, 225}, {99, 224},
{102, 229}, {103, 228}, {106, 233}, {107, 232}, {110, 237}, {111, 236}, {114,
241}, {115, 240}, {118, 245}, {119, 244}, {122, 249}, {123, 248}, {127, 252},
{4, 129}, {78, 203}, {76, 201}, {70, 195}, {68, 193}, {62, 187}, {60, 185}, {54,
179}, {52, 177}, {6, 131}, {12, 137}, {14, 139}, {20, 145}, {22, 147}, {28,
153}, {30, 155}, {36, 161}, {38, 163}, {44, 169}, {46, 171}, {84, 209}, {86,
211}, {92, 217}, {94, 219}, {100, 225}, {102, 227}, {108, 233}, {110, 235},
{116, 241}, {118, 243}, {124, 249}, {126, 251}, {4, 131}, {77, 202}, {76, 203},
{69, 194}, {68, 195}, {61, 186}, {60, 187}, {53, 178}, {52, 179}, {5, 130}, {12,
139}, {13, 138}, {20, 147}, {21, 146}, {28, 155}, {29, 154}, {36, 163}, {37,
162}, {44, 171}, {45, 170}, {84, 211}, {85, 210}, {92, 219}, {93, 218}, {100,
227}, {101, 226}, {108, 235}, {109, 234}, {116, 243}, {117, 242}, {124, 251},
{125, 250}, {8, 133}, {74, 199}, {72, 197}, {58, 183}, {56, 181}, {10, 135},
{24, 149}, {26, 151}, {40, 165}, {42, 167}, {88, 213}, {90, 215}, {104, 229},
{106, 231}, {120, 245}, {122, 247}, {8, 135}, {73, 198}, {72, 199}, {57, 182},
{56, 183}, {9, 134}, {24, 151}, {25, 150}, {40, 167}, {41, 166}, {88, 215}, {89,
214}, {104, 231}, {105, 230}, {120, 247}, {121, 246}, {16, 141}, {82, 207}, {80,
205}, {50, 175}, {18, 143}, {48, 173}, {112, 237}, {114, 239}, {16, 143}, {81,
206}, {80, 207}, {17, 142}, {48, 175}, {49, 174}, {112, 239}, {113, 238}, {32,
157}, {34, 159}, {96, 221}, {98, 223}, {32, 159}, {33, 158}, {96, 223}, {97,
222}, {1, 252}, {66, 191}, {64, 189}, {64, 191}, {65, 190}, {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: (124, 250) (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: (60, 186)
c: (27, 153)
d: (91, 217)
e: (31, 157)
f: (95, 221)
g: (64, 190)
h: (6, 132)
m: (37, 163)
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, 223, 224, 225, 226, 227, 228,
229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244,
245, 246, 247, 248, 249, 250, 251, 252)
a1: (42, 168)
b1: (73, 199)
c1: (65, 191)
d1: (32, 158)
e1: (96, 222)
f1: (63, 189)
g1: (105, 231)
h1: (74, 200)
m1: (22, 148)
n2: (53, 179)
a2: (119, 245)
b2: (55, 181)
c2: (24, 150)
d2: (88, 214)
e2: (66, 192)
f2: (19, 145)
g2: (52, 178)
h2: (83, 209)
m2: (116, 242)
n3: (39, 165)
a3: (72, 198)
b3: (8, 134)
c3: (103, 229)
d3: (5, 131)
e3: (102, 228)
f3: (15, 141)
g3: (79, 205)
h3: (48, 174)
m3: (112, 238)
n4: (33, 159)
a4: (41, 167)
b4: (10, 136)
c4: (113, 239)
d4: (82, 208)
e4: (46, 172)
f4: (77, 203)
g4: (30, 156)
h4: (61, 187)
m4: (93, 219)
n5: (115, 241)
a5: (51, 177)
b5: (20, 146)
c5: (84, 210)
d5: (34, 160)
e5: (89, 215)
f5: (58, 184)
g5: (123, 249)
h5: (59, 185)
m5: (28, 154)
n6: (92, 218)
a6: (29, 155)
b6: (126, 252)
c6: (109, 235)
d6: (78, 204)
e6: (87, 213)
f6: (56, 182)
g6: (120, 246)
h6: (23, 149)
m6: (18, 144)
n7: (49, 175)
a7: (101, 227)
b7: (70, 196)
c7: (3, 129)
d7: (67, 193)
e7: (100, 226)
f7: (36, 162)
g7: (122, 248)
h7: (25, 151)
m7: (111, 237)
n8: (80, 206)
a8: (47, 173)
b8: (16, 142)
c8: (9, 135)
d8: (106, 232)
e8: (13, 139)
f8: (110, 236)
g8: (11, 137)
h8: (75, 201)
m8: (108, 234)
n9: (44, 170)
a9: (2, 126)(3, 125)(4, 124)(5, 123)(6, 122)(7, 121)(8, 120)(9, 119)(10,
118)(11, 117)(12, 116)(13, 115)(14, 114)(15, 113)(16, 112)(17, 111)(18, 110)(19,
109)(20, 108)(21, 107)(22, 106)(23, 105)(24, 104)(25, 103)(26, 102)(27, 101)(28,
100)(29, 99)(30, 98)(31, 97)(32, 96)(33, 95)(34, 94)(35, 93)(36, 92)(37, 91)(38,
90)(39, 89)(40, 88)(41, 87)(42, 86)(43, 85)(44, 84)(45, 83)(46, 82)(47, 81)(48,
80)(49, 79)(50, 78)(51, 77)(52, 76)(53, 75)(54, 74)(55, 73)(56, 72)(57, 71)(58,
70)(59, 69)(60, 68)(61, 67)(62, 66)(63, 65)(128, 252)(129, 251)(130, 250)(131,
249)(132, 248)(133, 247)(134, 246)(135, 245)(136, 244)(137, 243)(138, 242)(139,
241)(140, 240)(141, 239)(142, 238)(143, 237)(144, 236)(145, 235)(146, 234)(147,
233)(148, 232)(149, 231)(150, 230)(151, 229)(152, 228)(153, 227)(154, 226)(155,
225)(156, 224)(157, 223)(158, 222)(159, 221)(160, 220)(161, 219)(162, 218)(163,
217)(164, 216)(165, 215)(166, 214)(167, 213)(168, 212)(169, 211)(170, 210)(171,
209)(172, 208)(173, 207)(174, 206)(175, 205)(176, 204)(177, 203)(178, 202)(179,
201)(180, 200)(181, 199)(182, 198)(183, 197)(184, 196)(185, 195)(186, 194)(187,
193)(188, 192)(189, 191)
b9: (81, 207)
c9: (50, 176)
d9: (118, 244)
e9: (21, 147)
f9: (26, 152)
g9: (57, 183)
h9: (97, 223)
m9: (85, 211)
n10: (54, 180)
a10: (121, 247)
b10: (90, 216)
c10: (125, 251)
d10: (94, 220)
e10: (2, 128)
f10: (38, 164)
g10: (69, 195)
h10: (117, 243)
m10: (86, 212)
n11: (17, 143)
a11: (114, 240)
b11: (98, 224)
c11: (4, 130)
d11: (68, 194)
e11: (99, 225)
f11: (35, 161)
g11: (12, 138)
h11: (76, 202)
m11: (107, 233)
n12: (43, 169)
a12: (14, 140)
b12: (45, 171)
c12: (7, 133)
d12: (71, 197)
e12: (104, 230)
f12: (40, 166)
C4[ 252, 1 ]
252
-1 2 126 128 252
-2 1 3 127 129
-3 2 4 128 130
-4 3 5 129 131
-5 132 4 6 130
-6 133 5 7 131
-7 132 134 6 8
-8 133 135 7 9
-9 134 136 8 10
-10 11 135 137 9
-11 12 136 138 10
-12 11 13 137 139
-13 12 14 138 140
-14 13 15 139 141
-15 14 16 140 142
-16 143 15 17 141
-17 144 16 18 142
-18 143 145 17 19
-19 144 146 18 20
-20 145 147 19 21
-21 22 146 148 20
-22 23 147 149 21
-23 22 24 148 150
-24 23 25 149 151
-25 24 26 150 152
-26 25 27 151 153
-27 154 26 28 152
-28 155 27 29 153
-29 154 156 28 30
-30 155 157 29 31
-31 156 158 30 32
-32 33 157 159 31
-33 34 158 160 32
-34 33 35 159 161
-35 34 36 160 162
-36 35 37 161 163
-37 36 38 162 164
-38 165 37 39 163
-39 166 38 40 164
-40 165 167 39 41
-41 166 168 40 42
-42 167 169 41 43
-43 44 168 170 42
-44 45 169 171 43
-45 44 46 170 172
-46 45 47 171 173
-47 46 48 172 174
-48 47 49 173 175
-49 176 48 50 174
-50 177 49 51 175
-51 176 178 50 52
-52 177 179 51 53
-53 178 180 52 54
-54 55 179 181 53
-55 56 180 182 54
-56 55 57 181 183
-57 56 58 182 184
-58 57 59 183 185
-59 58 60 184 186
-60 187 59 61 185
-61 188 60 62 186
-62 187 189 61 63
-63 188 190 62 64
-64 189 191 63 65
-65 66 190 192 64
-66 67 191 193 65
-67 66 68 192 194
-68 67 69 193 195
-69 68 70 194 196
-70 69 71 195 197
-71 198 70 72 196
-72 199 71 73 197
-73 198 200 72 74
-74 199 201 73 75
-75 200 202 74 76
-76 77 201 203 75
-77 78 202 204 76
-78 77 79 203 205
-79 78 80 204 206
-80 79 81 205 207
-81 80 82 206 208
-82 209 81 83 207
-83 210 82 84 208
-84 209 211 83 85
-85 210 212 84 86
-86 211 213 85 87
-87 88 212 214 86
-88 89 213 215 87
-89 88 90 214 216
-90 89 91 215 217
-91 90 92 216 218
-92 91 93 217 219
-93 220 92 94 218
-94 221 93 95 219
-95 220 222 94 96
-96 221 223 95 97
-97 222 224 96 98
-98 99 223 225 97
-99 100 224 226 98
-100 99 101 225 227
-101 100 102 226 228
-102 101 103 227 229
-103 102 104 228 230
-104 231 103 105 229
-105 232 104 106 230
-106 231 233 105 107
-107 232 234 106 108
-108 233 235 107 109
-109 110 234 236 108
-110 111 235 237 109
-111 110 112 236 238
-112 111 113 237 239
-113 112 114 238 240
-114 113 115 239 241
-115 242 114 116 240
-116 243 115 117 241
-117 242 244 116 118
-118 243 245 117 119
-119 244 246 118 120
-120 121 245 247 119
-121 122 246 248 120
-122 121 123 247 249
-123 122 124 248 250
-124 123 125 249 251
-125 124 126 250 252
-126 1 125 127 251
-127 2 126 128 252
-128 1 3 127 129
-129 2 4 128 130
-130 3 5 129 131
-131 132 4 6 130
-132 133 5 7 131
-133 132 134 6 8
-134 133 135 7 9
-135 134 136 8 10
-136 11 135 137 9
-137 12 136 138 10
-138 11 13 137 139
-139 12 14 138 140
-140 13 15 139 141
-141 14 16 140 142
-142 143 15 17 141
-143 144 16 18 142
-144 143 145 17 19
-145 144 146 18 20
-146 145 147 19 21
-147 22 146 148 20
-148 23 147 149 21
-149 22 24 148 150
-150 23 25 149 151
-151 24 26 150 152
-152 25 27 151 153
-153 154 26 28 152
-154 155 27 29 153
-155 154 156 28 30
-156 155 157 29 31
-157 156 158 30 32
-158 33 157 159 31
-159 34 158 160 32
-160 33 35 159 161
-161 34 36 160 162
-162 35 37 161 163
-163 36 38 162 164
-164 165 37 39 163
-165 166 38 40 164
-166 165 167 39 41
-167 166 168 40 42
-168 167 169 41 43
-169 44 168 170 42
-170 45 169 171 43
-171 44 46 170 172
-172 45 47 171 173
-173 46 48 172 174
-174 47 49 173 175
-175 176 48 50 174
-176 177 49 51 175
-177 176 178 50 52
-178 177 179 51 53
-179 178 180 52 54
-180 55 179 181 53
-181 56 180 182 54
-182 55 57 181 183
-183 56 58 182 184
-184 57 59 183 185
-185 58 60 184 186
-186 187 59 61 185
-187 188 60 62 186
-188 187 189 61 63
-189 188 190 62 64
-190 189 191 63 65
-191 66 190 192 64
-192 67 191 193 65
-193 66 68 192 194
-194 67 69 193 195
-195 68 70 194 196
-196 69 71 195 197
-197 198 70 72 196
-198 199 71 73 197
-199 198 200 72 74
-200 199 201 73 75
-201 200 202 74 76
-202 77 201 203 75
-203 78 202 204 76
-204 77 79 203 205
-205 78 80 204 206
-206 79 81 205 207
-207 80 82 206 208
-208 209 81 83 207
-209 210 82 84 208
-210 209 211 83 85
-211 210 212 84 86
-212 211 213 85 87
-213 88 212 214 86
-214 89 213 215 87
-215 88 90 214 216
-216 89 91 215 217
-217 90 92 216 218
-218 91 93 217 219
-219 220 92 94 218
-220 221 93 95 219
-221 220 222 94 96
-222 221 223 95 97
-223 222 224 96 98
-224 99 223 225 97
-225 100 224 226 98
-226 99 101 225 227
-227 100 102 226 228
-228 101 103 227 229
-229 102 104 228 230
-230 231 103 105 229
-231 232 104 106 230
-232 231 233 105 107
-233 232 234 106 108
-234 233 235 107 109
-235 110 234 236 108
-236 111 235 237 109
-237 110 112 236 238
-238 111 113 237 239
-239 112 114 238 240
-240 113 115 239 241
-241 242 114 116 240
-242 243 115 117 241
-243 242 244 116 118
-244 243 245 117 119
-245 244 246 118 120
-246 121 245 247 119
-247 122 246 248 120
-248 121 123 247 249
-249 122 124 248 250
-250 123 125 249 251
-251 124 126 250 252
-252 1 125 127 251
0