Graph forms
for C4 [ 244, 1 ] = W(122,2)
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On this page are computer-accessible forms for the graph C4[ 244, 1 ] =
W(122,2).
(I) Following is a form readable by MAGMA:
g:=Graph<244|{ {2, 3}, {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}, {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}, {68, 69}, {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}, {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}, {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}, {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},
{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}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29,
30}, {33, 34}, {37, 38}, {41, 42}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85,
86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {3, 4},
{243, 244}, {235, 236}, {227, 228}, {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}, {231, 232}, {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}, {239, 240}, {207, 208}, {175, 176},
{143, 144}, {47, 48}, {79, 80}, {111, 112}, {31, 32}, {223, 224}, {159, 160},
{95, 96}, {2, 123}, {4, 125}, {6, 127}, {1, 122}, {4, 127}, {5, 126}, {1, 124},
{3, 126}, {2, 125}, {191, 192}, {63, 64}, {3, 124}, {5, 128}, {119, 242}, {117,
240}, {63, 186}, {61, 184}, {55, 178}, {53, 176}, {47, 170}, {45, 168}, {7,
130}, {13, 136}, {15, 138}, {21, 144}, {23, 146}, {29, 152}, {31, 154}, {37,
160}, {39, 162}, {69, 192}, {71, 194}, {77, 200}, {79, 202}, {85, 208}, {87,
210}, {93, 216}, {95, 218}, {101, 224}, {103, 226}, {109, 232}, {111, 234}, {6,
129}, {119, 240}, {118, 241}, {63, 184}, {62, 185}, {55, 176}, {54, 177}, {47,
168}, {46, 169}, {7, 128}, {14, 137}, {15, 136}, {22, 145}, {23, 144}, {30,
153}, {31, 152}, {38, 161}, {39, 160}, {70, 193}, {71, 192}, {78, 201}, {79,
200}, {86, 209}, {87, 208}, {94, 217}, {95, 216}, {102, 225}, {103, 224}, {110,
233}, {111, 232}, {8, 129}, {122, 243}, {120, 241}, {62, 183}, {60, 181}, {58,
179}, {56, 177}, {46, 167}, {44, 165}, {42, 163}, {10, 131}, {12, 133}, {14,
135}, {24, 145}, {26, 147}, {28, 149}, {30, 151}, {40, 161}, {72, 193}, {74,
195}, {76, 197}, {78, 199}, {88, 209}, {90, 211}, {92, 213}, {94, 215}, {104,
225}, {106, 227}, {108, 229}, {110, 231}, {8, 131}, {121, 242}, {120, 243}, {61,
182}, {60, 183}, {57, 178}, {56, 179}, {45, 166}, {44, 167}, {9, 130}, {12,
135}, {13, 134}, {24, 147}, {25, 146}, {28, 151}, {29, 150}, {40, 163}, {41,
162}, {72, 195}, {73, 194}, {76, 199}, {77, 198}, {88, 211}, {89, 210}, {92,
215}, {93, 214}, {104, 227}, {105, 226}, {108, 231}, {109, 230}, {9, 132}, {121,
244}, {59, 182}, {57, 180}, {43, 166}, {41, 164}, {11, 134}, {25, 148}, {27,
150}, {73, 196}, {75, 198}, {89, 212}, {91, 214}, {105, 228}, {107, 230}, {10,
133}, {123, 244}, {59, 180}, {58, 181}, {43, 164}, {42, 165}, {11, 132}, {26,
149}, {27, 148}, {74, 197}, {75, 196}, {90, 213}, {91, 212}, {106, 229}, {107,
228}, {16, 137}, {118, 239}, {116, 237}, {114, 235}, {54, 175}, {52, 173}, {50,
171}, {48, 169}, {18, 139}, {20, 141}, {22, 143}, {80, 201}, {82, 203}, {84,
205}, {86, 207}, {112, 233}, {16, 139}, {117, 238}, {116, 239}, {113, 234}, {53,
174}, {52, 175}, {49, 170}, {48, 171}, {17, 138}, {20, 143}, {21, 142}, {80,
203}, {81, 202}, {84, 207}, {85, 206}, {112, 235}, {17, 140}, {115, 238}, {113,
236}, {51, 174}, {49, 172}, {19, 142}, {81, 204}, {83, 206}, {18, 141}, {115,
236}, {114, 237}, {51, 172}, {50, 173}, {19, 140}, {82, 205}, {83, 204}, {32,
153}, {34, 155}, {36, 157}, {38, 159}, {96, 217}, {98, 219}, {100, 221}, {102,
223}, {32, 155}, {33, 154}, {36, 159}, {37, 158}, {96, 219}, {97, 218}, {100,
223}, {101, 222}, {33, 156}, {35, 158}, {97, 220}, {99, 222}, {34, 157}, {35,
156}, {98, 221}, {99, 220}, {1, 244}, {64, 185}, {68, 189}, {66, 187}, {70,
191}, {64, 187}, {65, 186}, {68, 191}, {69, 190}, {65, 188}, {67, 190}, {66,
189}, {127, 128}, {67, 188} }>;
(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: (102, 224) (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: (32, 154)
c: (63, 185)
d: (35, 157)
e: (106, 228)
f: (99, 221)
g: (27, 149)
h: (9, 131)
m: (98, 220)
n1: (118, 240)
a1: (21, 143)
b1: (67, 189)
c1: (115, 237)
d1: (84, 206)
e1: (31, 153)
f1: (79, 201)
g1: (48, 170)
h1: (12, 134)
m1: (43, 165)
n2: (69, 191)
a2: (107, 229)
b2: (76, 198)
c2: (42, 164)
d2: (73, 195)
e2: (111, 233)
f2: (80, 202)
g2: (85, 207)
h2: (54, 176)
m2: (16, 138)
n3: (47, 169)
a3: (105, 227)
b3: (74, 196)
c3: (29, 151)
d3: (114, 236)
e3: (17, 139)
f3: (91, 213)
g3: (14, 136)
h3: (45, 167)
m3: (120, 242)
n4: (23, 145)
a4: (26, 148)
b4: (57, 179)
c4: (113, 235)
d4: (82, 204)
e4: (18, 140)
f4: (49, 171)
g4: (28, 150)
h4: (59, 181)
m4: (95, 217)
n5: (64, 186)
a5: (20, 142)
b5: (51, 173)
c5: (6, 128)
d5: (96, 218)
e5: (25, 147)
f5: (122, 244)
g5: (104, 226)
h5: (7, 129)
m5: (109, 231)
n6: (78, 200)
a6: (8, 130)
b6: (39, 161)
c6: (2, 122)(3, 121)(4, 120)(5, 119)(6, 118)(7, 117)(8, 116)(9, 115)(10,
114)(11, 113)(12, 112)(13, 111)(14, 110)(15, 109)(16, 108)(17, 107)(18, 106)(19,
105)(20, 104)(21, 103)(22, 102)(23, 101)(24, 100)(25, 99)(26, 98)(27, 97)(28,
96)(29, 95)(30, 94)(31, 93)(32, 92)(33, 91)(34, 90)(35, 89)(36, 88)(37, 87)(38,
86)(39, 85)(40, 84)(41, 83)(42, 82)(43, 81)(44, 80)(45, 79)(46, 78)(47, 77)(48,
76)(49, 75)(50, 74)(51, 73)(52, 72)(53, 71)(54, 70)(55, 69)(56, 68)(57, 67)(58,
66)(59, 65)(60, 64)(61, 63)(124, 244)(125, 243)(126, 242)(127, 241)(128,
240)(129, 239)(130, 238)(131, 237)(132, 236)(133, 235)(134, 234)(135, 233)(136,
232)(137, 231)(138, 230)(139, 229)(140, 228)(141, 227)(142, 226)(143, 225)(144,
224)(145, 223)(146, 222)(147, 221)(148, 220)(149, 219)(150, 218)(151, 217)(152,
216)(153, 215)(154, 214)(155, 213)(156, 212)(157, 211)(158, 210)(159, 209)(160,
208)(161, 207)(162, 206)(163, 205)(164, 204)(165, 203)(166, 202)(167, 201)(168,
200)(169, 199)(170, 198)(171, 197)(172, 196)(173, 195)(174, 194)(175, 193)(176,
192)(177, 191)(178, 190)(179, 189)(180, 188)(181, 187)(182, 186)(183, 185)
d6: (81, 203)
e6: (50, 172)
f6: (4, 126)
g6: (65, 187)
h6: (5, 127)
m6: (36, 158)
n7: (101, 223)
a7: (92, 214)
b7: (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)
c7: (68, 190)
d7: (119, 241)
e7: (88, 210)
f7: (70, 192)
g7: (112, 234)
h7: (15, 137)
m7: (11, 133)
n8: (38, 160)
a8: (108, 230)
b8: (46, 168)
c8: (77, 199)
d8: (94, 216)
e8: (66, 188)
f8: (44, 166)
g8: (75, 197)
h8: (121, 243)
m8: (90, 212)
n9: (22, 144)
a9: (53, 175)
b9: (97, 219)
c9: (83, 205)
d9: (52, 174)
e9: (34, 156)
f9: (33, 155)
g9: (87, 209)
h9: (100, 222)
m9: (56, 178)
n10: (117, 239)
a10: (86, 208)
b10: (37, 159)
c10: (30, 152)
d10: (61, 183)
e10: (93, 215)
f10: (62, 184)
g10: (116, 238)
h10: (19, 141)
m10: (3, 125)
n11: (110, 232)
a11: (13, 135)
b11: (24, 146)
c11: (55, 177)
d11: (103, 225)
e11: (72, 194)
f11: (10, 132)
g11: (41, 163)
h11: (2, 124)
m11: (89, 211)
n12: (58, 180)
a12: (40, 162)
b12: (71, 193)
C4[ 244, 1 ]
244
-1 122 2 244 124
-2 1 123 3 125
-3 2 124 4 126
-4 3 125 5 127
-5 4 126 6 128
-6 5 127 7 129
-7 6 128 8 130
-8 7 129 9 131
-9 132 8 130 10
-10 11 133 9 131
-11 132 12 134 10
-12 11 133 13 135
-13 12 134 14 136
-14 13 135 15 137
-15 14 136 16 138
-16 15 137 17 139
-17 16 138 18 140
-18 17 139 19 141
-19 18 140 20 142
-20 143 19 141 21
-21 22 144 20 142
-22 143 23 145 21
-23 22 144 24 146
-24 23 145 25 147
-25 24 146 26 148
-26 25 147 27 149
-27 26 148 28 150
-28 27 149 29 151
-29 28 150 30 152
-30 29 151 31 153
-31 154 30 152 32
-32 33 155 31 153
-33 154 34 156 32
-34 33 155 35 157
-35 34 156 36 158
-36 35 157 37 159
-37 36 158 38 160
-38 37 159 39 161
-39 38 160 40 162
-40 39 161 41 163
-41 40 162 42 164
-42 165 41 163 43
-43 44 166 42 164
-44 165 45 167 43
-45 44 166 46 168
-46 45 167 47 169
-47 46 168 48 170
-48 47 169 49 171
-49 48 170 50 172
-50 49 171 51 173
-51 50 172 52 174
-52 51 173 53 175
-53 176 52 174 54
-54 55 177 53 175
-55 176 56 178 54
-56 55 177 57 179
-57 56 178 58 180
-58 57 179 59 181
-59 58 180 60 182
-60 59 181 61 183
-61 60 182 62 184
-62 61 183 63 185
-63 62 184 64 186
-64 187 63 185 65
-65 66 188 64 186
-66 187 67 189 65
-67 66 188 68 190
-68 67 189 69 191
-69 68 190 70 192
-70 69 191 71 193
-71 70 192 72 194
-72 71 193 73 195
-73 72 194 74 196
-74 73 195 75 197
-75 198 74 196 76
-76 77 199 75 197
-77 198 78 200 76
-78 77 199 79 201
-79 78 200 80 202
-80 79 201 81 203
-81 80 202 82 204
-82 81 203 83 205
-83 82 204 84 206
-84 83 205 85 207
-85 84 206 86 208
-86 209 85 207 87
-87 88 210 86 208
-88 209 89 211 87
-89 88 210 90 212
-90 89 211 91 213
-91 90 212 92 214
-92 91 213 93 215
-93 92 214 94 216
-94 93 215 95 217
-95 94 216 96 218
-96 95 217 97 219
-97 220 96 218 98
-98 99 221 97 219
-99 220 100 222 98
-100 99 221 101 223
-101 100 222 102 224
-102 101 223 103 225
-103 102 224 104 226
-104 103 225 105 227
-105 104 226 106 228
-106 105 227 107 229
-107 106 228 108 230
-108 231 107 229 109
-109 110 232 108 230
-110 231 111 233 109
-111 110 232 112 234
-112 111 233 113 235
-113 112 234 114 236
-114 113 235 115 237
-115 114 236 116 238
-116 115 237 117 239
-117 116 238 118 240
-118 117 239 119 241
-119 242 118 240 120
-120 121 243 119 241
-121 242 122 244 120
-122 121 1 243 123
-123 122 2 244 124
-124 1 123 3 125
-125 2 124 4 126
-126 3 125 5 127
-127 4 126 6 128
-128 5 127 7 129
-129 6 128 8 130
-130 7 129 9 131
-131 132 8 130 10
-132 11 133 9 131
-133 132 12 134 10
-134 11 133 13 135
-135 12 134 14 136
-136 13 135 15 137
-137 14 136 16 138
-138 15 137 17 139
-139 16 138 18 140
-140 17 139 19 141
-141 18 140 20 142
-142 143 19 141 21
-143 22 144 20 142
-144 143 23 145 21
-145 22 144 24 146
-146 23 145 25 147
-147 24 146 26 148
-148 25 147 27 149
-149 26 148 28 150
-150 27 149 29 151
-151 28 150 30 152
-152 29 151 31 153
-153 154 30 152 32
-154 33 155 31 153
-155 154 34 156 32
-156 33 155 35 157
-157 34 156 36 158
-158 35 157 37 159
-159 36 158 38 160
-160 37 159 39 161
-161 38 160 40 162
-162 39 161 41 163
-163 40 162 42 164
-164 165 41 163 43
-165 44 166 42 164
-166 165 45 167 43
-167 44 166 46 168
-168 45 167 47 169
-169 46 168 48 170
-170 47 169 49 171
-171 48 170 50 172
-172 49 171 51 173
-173 50 172 52 174
-174 51 173 53 175
-175 176 52 174 54
-176 55 177 53 175
-177 176 56 178 54
-178 55 177 57 179
-179 56 178 58 180
-180 57 179 59 181
-181 58 180 60 182
-182 59 181 61 183
-183 60 182 62 184
-184 61 183 63 185
-185 62 184 64 186
-186 187 63 185 65
-187 66 188 64 186
-188 187 67 189 65
-189 66 188 68 190
-190 67 189 69 191
-191 68 190 70 192
-192 69 191 71 193
-193 70 192 72 194
-194 71 193 73 195
-195 72 194 74 196
-196 73 195 75 197
-197 198 74 196 76
-198 77 199 75 197
-199 198 78 200 76
-200 77 199 79 201
-201 78 200 80 202
-202 79 201 81 203
-203 80 202 82 204
-204 81 203 83 205
-205 82 204 84 206
-206 83 205 85 207
-207 84 206 86 208
-208 209 85 207 87
-209 88 210 86 208
-210 209 89 211 87
-211 88 210 90 212
-212 89 211 91 213
-213 90 212 92 214
-214 91 213 93 215
-215 92 214 94 216
-216 93 215 95 217
-217 94 216 96 218
-218 95 217 97 219
-219 220 96 218 98
-220 99 221 97 219
-221 220 100 222 98
-222 99 221 101 223
-223 100 222 102 224
-224 101 223 103 225
-225 102 224 104 226
-226 103 225 105 227
-227 104 226 106 228
-228 105 227 107 229
-229 106 228 108 230
-230 231 107 229 109
-231 110 232 108 230
-232 231 111 233 109
-233 110 232 112 234
-234 111 233 113 235
-235 112 234 114 236
-236 113 235 115 237
-237 114 236 116 238
-238 115 237 117 239
-239 116 238 118 240
-240 117 239 119 241
-241 242 118 240 120
-242 121 243 119 241
-243 242 122 244 120
-244 121 1 243 123
0