Graph forms
for C4 [ 252, 53 ] = SDD(DW(21,3))
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On this page are computer-accessible forms for the graph C4[ 252, 53 ] =
SDD(DW(21,3)).
(I) Following is a form readable by MAGMA:
g:=Graph<252|{ {126, 127}, {125, 127}, {2, 127}, {1, 127}, {1, 129}, {92, 220},
{69, 197}, {1, 128}, {93, 220}, {47, 174}, {45, 172}, {29, 156}, {8, 137}, {3,
130}, {2, 131}, {68, 197}, {73, 200}, {72, 202}, {43, 168}, {46, 173}, {2, 134},
{90, 222}, {87, 211}, {6, 130}, {5, 129}, {4, 128}, {3, 135}, {56, 188}, {57,
189}, {1, 132}, {95, 218}, {39, 162}, {37, 160}, {67, 198}, {3, 133}, {97, 231},
{93, 219}, {44, 170}, {23, 145}, {17, 151}, {16, 150}, {14, 136}, {16, 151},
{89, 222}, {49, 182}, {38, 161}, {29, 154}, {86, 209}, {7, 143}, {109, 229},
{88, 208}, {75, 195}, {108, 229}, {6, 140}, {28, 150}, {25, 147}, {24, 146},
{13, 135}, {12, 134}, {9, 131}, {77, 199}, {20, 159}, {49, 186}, {68, 207}, {40,
164}, {106, 230}, {94, 210}, {87, 219}, {3, 142}, {91, 214}, {42, 167}, {4,
138}, {37, 171}, {27, 149}, {26, 148}, {11, 133}, {10, 132}, {7, 137}, {5, 139},
{2, 141}, {105, 230}, {41, 166}, {38, 169}, {7, 136}, {82, 221}, {9, 153}, {34,
178}, {33, 177}, {32, 176}, {66, 210}, {9, 152}, {41, 184}, {32, 177}, {13,
156}, {11, 154}, {89, 203}, {10, 153}, {14, 157}, {73, 218}, {64, 212}, {4,
145}, {34, 183}, {6, 147}, {65, 215}, {80, 198}, {82, 196}, {5, 146}, {46, 185},
{12, 155}, {67, 212}, {78, 217}, {83, 196}, {8, 144}, {35, 187}, {18, 138}, {64,
216}, {77, 213}, {7, 158}, {94, 199}, {38, 191}, {22, 143}, {20, 141}, {18,
139}, {64, 217}, {15, 149}, {46, 180}, {41, 179}, {4, 159}, {37, 190}, {21,
142}, {8, 148}, {79, 211}, {74, 215}, {15, 144}, {108, 243}, {48, 175}, {19,
140}, {66, 221}, {18, 178}, {105, 201}, {28, 188}, {27, 187}, {26, 186}, {25,
185}, {24, 184}, {23, 183}, {21, 181}, {78, 238}, {18, 179}, {77, 236}, {65,
227}, {83, 241}, {11, 168}, {96, 195}, {66, 225}, {78, 237}, {81, 242}, {83,
240}, {70, 226}, {102, 194}, {5, 160}, {14, 171}, {12, 169}, {71, 226}, {84,
241}, {19, 181}, {106, 204}, {100, 194}, {69, 227}, {76, 234}, {6, 161}, {109,
202}, {19, 180}, {13, 170}, {67, 235}, {120, 208}, {99, 203}, {92, 244}, {68,
237}, {100, 205}, {73, 224}, {74, 227}, {8, 162}, {81, 251}, {15, 163}, {10,
167}, {108, 193}, {16, 189}, {97, 207}, {99, 205}, {9, 166}, {103, 200}, {91,
244}, {31, 176}, {64, 239}, {67, 236}, {68, 235}, {75, 228}, {29, 173}, {88,
232}, {31, 175}, {30, 174}, {70, 246}, {72, 248}, {73, 249}, {81, 225}, {70,
247}, {112, 193}, {89, 232}, {72, 249}, {74, 251}, {75, 250}, {124, 206}, {92,
239}, {115, 192}, {93, 238}, {10, 190}, {94, 234}, {17, 165}, {16, 164}, {11,
191}, {66, 246}, {71, 243}, {80, 228}, {84, 224}, {22, 163}, {124, 201}, {74,
252}, {118, 192}, {105, 223}, {76, 250}, {75, 252}, {104, 223}, {72, 240}, {118,
206}, {15, 182}, {34, 155}, {34, 152}, {36, 158}, {65, 251}, {79, 245}, {30,
165}, {76, 247}, {78, 245}, {91, 231}, {17, 172}, {108, 209}, {65, 252}, {84,
233}, {35, 157}, {114, 204}, {71, 248}, {77, 242}, {86, 233}, {86, 150}, {99,
163}, {51, 242}, {105, 168}, {98, 163}, {59, 250}, {42, 232}, {55, 245}, {85,
151}, {30, 221}, {95, 156}, {93, 158}, {57, 250}, {85, 150}, {32, 228}, {49,
245}, {48, 244}, {61, 249}, {44, 233}, {104, 173}, {96, 165}, {95, 154}, {62,
248}, {120, 190}, {29, 218}, {121, 190}, {59, 252}, {62, 249}, {39, 239}, {58,
243}, {63, 246}, {36, 238}, {87, 157}, {27, 208}, {33, 234}, {12, 192}, {96,
172}, {45, 225}, {44, 224}, {14, 194}, {13, 193}, {28, 209}, {114, 191}, {111,
162}, {102, 171}, {88, 149}, {47, 226}, {43, 230}, {56, 246}, {113, 191}, {57,
247}, {62, 240}, {56, 247}, {118, 185}, {60, 237}, {119, 166}, {104, 185}, {17,
195}, {103, 181}, {39, 244}, {120, 171}, {114, 161}, {103, 180}, {57, 234}, {98,
182}, {117, 161}, {24, 205}, {26, 207}, {45, 251}, {25, 206}, {48, 231}, {47,
248}, {60, 235}, {40, 240}, {120, 160}, {109, 181}, {25, 192}, {113, 168}, {107,
178}, {55, 238}, {54, 239}, {50, 235}, {40, 241}, {20, 206}, {122, 160}, {115,
169}, {112, 170}, {55, 237}, {31, 197}, {30, 196}, {24, 194}, {56, 226}, {19,
200}, {114, 169}, {97, 186}, {23, 204}, {22, 205}, {47, 243}, {110, 178}, {107,
183}, {104, 180}, {100, 184}, {20, 201}, {110, 179}, {106, 183}, {44, 241}, {22,
203}, {61, 224}, {50, 236}, {121, 167}, {63, 225}, {21, 202}, {51, 236}, {45,
242}, {58, 229}, {59, 228}, {53, 213}, {121, 153}, {80, 176}, {42, 203}, {52,
213}, {80, 177}, {43, 201}, {90, 184}, {54, 212}, {53, 215}, {52, 214}, {49,
211}, {63, 221}, {52, 215}, {124, 159}, {109, 142}, {88, 187}, {53, 214}, {110,
138}, {123, 159}, {110, 139}, {118, 147}, {32, 198}, {117, 147}, {111, 137},
{51, 213}, {50, 212}, {48, 214}, {33, 199}, {61, 218}, {85, 189}, {122, 146},
{115, 155}, {71, 174}, {90, 179}, {38, 204}, {123, 145}, {101, 143}, {69, 175},
{86, 188}, {58, 209}, {113, 154}, {103, 140}, {40, 196}, {112, 156}, {101, 137},
{99, 143}, {52, 216}, {87, 187}, {53, 216}, {101, 136}, {63, 210}, {54, 216},
{119, 153}, {102, 136}, {55, 217}, {54, 217}, {119, 152}, {94, 177}, {21, 229},
{107, 155}, {35, 211}, {23, 230}, {124, 141}, {123, 138}, {122, 139}, {116,
133}, {46, 223}, {76, 189}, {85, 164}, {95, 173}, {98, 144}, {27, 232}, {126,
141}, {116, 135}, {107, 152}, {33, 210}, {60, 207}, {42, 222}, {119, 131}, {113,
133}, {91, 175}, {51, 199}, {50, 198}, {43, 223}, {62, 202}, {28, 233}, {115,
134}, {97, 148}, {37, 208}, {61, 200}, {69, 176}, {79, 186}, {100, 146}, {116,
130}, {41, 222}, {117, 130}, {112, 135}, {98, 149}, {96, 151}, {82, 165}, {83,
164}, {35, 219}, {126, 134}, {36, 220}, {59, 195}, {60, 197}, {125, 132}, {117,
140}, {79, 182}, {70, 188}, {116, 142}, {39, 220}, {123, 128}, {122, 129}, {111,
148}, {106, 145}, {102, 157}, {101, 158}, {58, 193}, {31, 227}, {125, 129}, {90,
166}, {82, 174}, {26, 231}, {126, 131}, {125, 128}, {121, 132}, {81, 172}, {84,
170}, {92, 162}, {89, 167}, {36, 219}, {111, 144} }>;
(II) A more general form is to represent the graph as the orbit of {126, 127}
under the group generated by the following permutations:
a: (61, 73) (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: (33, 94)
c: (4, 123)
d: (26, 97)
e: (43, 105)
f: (29, 95)
g: (50, 67)
h: (10, 121)
m: (41, 90)
n1: (20, 124)
a1: (5, 122)
b1: (49, 79)
c1: (37, 120)
d1: (21, 109)
e1: (65, 74)
f1: (8, 111)
g1: (52, 53)
h1: (34, 107)
m1: (13, 112)
n2: (18, 110)
a2: (9, 119)
b2: (46, 104)
c2: (22, 99)
d2: (57, 76)
e2: (60, 68)
f2: (11, 113)
g2: (2, 10)(3, 8)(4, 5)(6, 15)(7, 11)(12, 42)(13, 39)(14, 43)(16, 51)(17,
33)(19, 49)(20, 37)(21, 26)(22, 38)(23, 24)(25, 27)(28, 52)(29, 36)(30, 32)(31,
47)(34, 41)(35, 46)(40, 50)(44, 54)(45, 57)(48, 58)(53, 86)(55, 61)(56, 65)(59,
63)(60, 62)(64, 84)(66, 75)(67, 83)(68, 72)(69, 71)(70, 74)(73, 78)(76, 81)(77,
85)(79, 103)(80, 82)(87, 104)(88, 118)(89, 115)(90, 107)(91, 108)(92, 112)(93,
95)(94, 96)(97, 109)(98, 117)(99, 114)(100, 106)(101, 113)(102, 105)(111,
116)(120, 124)(121, 126)(122, 123)(127, 132)(128, 129)(130, 144)(131, 153)(133,
137)(134, 167)(135, 162)(136, 168)(138, 139)(140, 182)(141, 190)(142, 148)(143,
191)(145, 146)(147, 149)(150, 213)(151, 199)(152, 166)(154, 158)(155, 222)(156,
220)(157, 223)(159, 160)(161, 163)(164, 236)(165, 177)(169, 203)(170, 239)(171,
201)(172, 234)(173, 219)(174, 176)(175, 243)(178, 179)(180, 211)(181, 186)(183,
184)(185, 187)(188, 215)(189, 242)(192, 232)(193, 244)(194, 230)(195, 210)(196,
198)(197, 248)(200, 245)(202, 207)(204, 205)(206, 208)(209, 214)(212, 241)(216,
233)(217, 224)(218, 238)(221, 228)(225, 250)(226, 227)(229, 231)(235, 240)(237,
249)(246, 252)(247, 251)
h2: (24, 100)
m2: (44, 84)
n3: (30, 82)
a3: (40, 83)
b3: (15, 98)
c3: (23, 106)
d3: (55, 78)
e3: (28, 86)
f3: (47, 71)
g3: (6, 117)
h3: (54, 64)
m3: (51, 77)
n4: (62, 72)
a4: (58, 108)
b4: (16, 85)
c4: (31, 69)
d4: (12, 115)
e4: (2, 4)(5, 10)(6, 11)(7, 15)(9, 18)(12, 23)(13, 21)(14, 27)(16, 30)(19,
29)(24, 42)(25, 43)(26, 39)(28, 47)(31, 52)(32, 51)(36, 49)(44, 62)(45, 59)(53,
69)(54, 60)(57, 63)(64, 68)(66, 76)(71, 86)(72, 84)(75, 81)(77, 80)(79, 93)(82,
85)(88, 102)(89, 100)(92, 97)(95, 103)(98, 101)(105, 118)(106, 115)(109,
112)(110, 119)(113, 117)(121, 122)(123, 126)(127, 128)(129, 132)(130, 133)(131,
138)(134, 145)(135, 142)(136, 149)(137, 144)(139, 153)(140, 154)(141, 159)(143,
163)(146, 167)(147, 168)(148, 162)(150, 174)(151, 165)(152, 178)(155, 183)(156,
181)(157, 187)(158, 182)(160, 190)(161, 191)(164, 196)(166, 179)(169, 204)(170,
202)(171, 208)(172, 195)(173, 180)(175, 214)(176, 213)(177, 199)(184, 222)(185,
223)(186, 220)(188, 226)(189, 221)(192, 230)(193, 229)(194, 232)(197, 216)(198,
236)(200, 218)(201, 206)(203, 205)(207, 239)(209, 243)(210, 234)(211, 219)(212,
235)(215, 227)(217, 237)(224, 249)(225, 250)(228, 242)(231, 244)(233, 248)(238,
245)(240, 241)(246, 247)(251, 252)
f4: (38, 114)
g4: (17, 96)
h4: (59, 75)
m4: (3, 116)
n5: (19, 103)
a5: (7, 101)
b5: (36, 93)
c5: (14, 102)
d5: (42, 89)
e5: (35, 87)
f5: (48, 91)
g5: (27, 88)
h5: (25, 118)
m5: (1, 2)(3, 7)(4, 9)(5, 12)(6, 14)(8, 13)(10, 20)(11, 22)(15, 29)(16, 31)(17,
32)(18, 34)(19, 35)(21, 36)(23, 41)(24, 38)(25, 37)(26, 44)(27, 46)(28, 48)(30,
50)(33, 45)(39, 58)(40, 60)(42, 43)(47, 54)(49, 61)(51, 63)(52, 56)(53, 70)(55,
62)(57, 65)(64, 71)(66, 77)(67, 82)(68, 83)(69, 85)(72, 78)(73, 79)(74, 76)(80,
96)(81, 94)(84, 97)(86, 91)(87, 103)(88, 104)(89, 105)(90, 106)(92, 108)(93,
109)(95, 98)(99, 113)(100, 114)(101, 116)(102, 117)(107, 110)(111, 112)(115,
122)(118, 120)(119, 123)(121, 124)(125, 126)(128, 131)(129, 134)(130, 136)(132,
141)(133, 143)(135, 137)(138, 152)(139, 155)(140, 157)(142, 158)(144, 156)(145,
166)(146, 169)(147, 171)(148, 170)(149, 173)(150, 175)(151, 176)(153, 159)(154,
163)(160, 192)(161, 194)(162, 193)(164, 197)(165, 198)(167, 201)(168, 203)(172,
177)(174, 212)(179, 183)(180, 187)(181, 219)(182, 218)(184, 204)(185, 208)(186,
224)(188, 214)(189, 227)(190, 206)(191, 205)(195, 228)(196, 235)(199, 225)(200,
211)(202, 238)(207, 241)(209, 244)(210, 242)(213, 246)(215, 247)(216, 226)(217,
248)(220, 229)(221, 236)(222, 230)(223, 232)(231, 233)(234, 251)(237, 240)(239,
243)(245, 249)(250, 252)
n6: (63, 66)
a6: (39, 92)
b6: (32, 80)
c6: (2, 126)
d6: (56, 70)
C4[ 252, 53 ]
252
-1 132 127 128 129
-2 134 127 141 131
-3 133 135 130 142
-4 145 159 138 128
-5 146 160 139 129
-6 147 161 140 130
-7 143 136 158 137
-8 144 137 148 162
-9 166 152 131 153
-10 132 167 190 153
-11 154 133 168 191
-12 155 134 169 192
-13 156 135 170 193
-14 157 136 171 194
-15 144 149 182 163
-16 189 150 151 164
-17 165 172 151 195
-18 178 179 138 139
-19 200 180 181 140
-20 201 159 206 141
-21 202 181 229 142
-22 143 203 205 163
-23 145 204 183 230
-24 146 194 205 184
-25 147 192 206 185
-26 231 148 207 186
-27 187 232 149 208
-28 209 188 233 150
-29 154 156 173 218
-30 165 221 174 196
-31 176 227 175 197
-32 176 198 177 228
-33 177 199 210 234
-34 155 178 183 152
-35 187 211 157 219
-36 220 158 238 219
-37 190 160 171 208
-38 169 191 204 161
-39 220 244 162 239
-40 196 240 164 241
-41 166 222 179 184
-42 232 167 222 203
-43 168 201 223 230
-44 233 224 170 241
-45 242 225 172 251
-46 223 180 173 185
-47 243 226 248 174
-48 231 244 214 175
-49 211 245 182 186
-50 198 212 235 236
-51 242 199 213 236
-52 213 214 215 216
-53 213 214 215 216
-54 212 216 217 239
-55 245 237 238 217
-56 188 246 247 226
-57 189 234 247 250
-58 209 243 193 229
-59 195 228 250 252
-60 235 237 207 197
-61 200 224 249 218
-62 202 248 249 240
-63 210 221 246 225
-64 212 216 217 239
-65 215 227 251 252
-66 210 221 246 225
-67 198 212 235 236
-68 235 237 207 197
-69 176 227 175 197
-70 188 246 247 226
-71 243 226 248 174
-72 202 248 249 240
-73 200 224 249 218
-74 215 227 251 252
-75 195 228 250 252
-76 189 234 247 250
-77 242 199 213 236
-78 245 237 238 217
-79 211 245 182 186
-80 176 198 177 228
-81 242 225 172 251
-82 165 221 174 196
-83 196 240 164 241
-84 233 224 170 241
-85 189 150 151 164
-86 209 188 233 150
-87 187 211 157 219
-88 187 232 149 208
-89 232 167 222 203
-90 166 222 179 184
-91 231 244 214 175
-92 220 244 162 239
-93 220 158 238 219
-94 177 199 210 234
-95 154 156 173 218
-96 165 172 151 195
-97 231 148 207 186
-98 144 149 182 163
-99 143 203 205 163
-100 146 194 205 184
-101 143 136 158 137
-102 157 136 171 194
-103 200 180 181 140
-104 223 180 173 185
-105 168 201 223 230
-106 145 204 183 230
-107 155 178 183 152
-108 209 243 193 229
-109 202 181 229 142
-110 178 179 138 139
-111 144 137 148 162
-112 156 135 170 193
-113 154 133 168 191
-114 169 191 204 161
-115 155 134 169 192
-116 133 135 130 142
-117 147 161 140 130
-118 147 192 206 185
-119 166 152 131 153
-120 190 160 171 208
-121 132 167 190 153
-122 146 160 139 129
-123 145 159 138 128
-124 201 159 206 141
-125 132 127 128 129
-126 134 127 141 131
-127 1 2 125 126
-128 1 123 4 125
-129 1 122 125 5
-130 3 6 116 117
-131 2 126 9 119
-132 121 1 125 10
-133 11 3 113 116
-134 12 2 115 126
-135 13 112 3 116
-136 101 14 102 7
-137 111 101 7 8
-138 110 123 4 18
-139 110 122 5 18
-140 103 6 117 19
-141 2 124 126 20
-142 3 116 21 109
-143 22 99 101 7
-144 111 15 8 98
-145 23 123 4 106
-146 100 122 24 5
-147 25 6 117 118
-148 111 26 8 97
-149 88 15 27 98
-150 16 28 85 86
-151 16 17 85 96
-152 34 107 9 119
-153 121 9 119 10
-154 11 113 29 95
-155 12 34 115 107
-156 13 112 29 95
-157 35 14 102 87
-158 101 36 93 7
-159 123 124 4 20
-160 122 37 5 120
-161 114 38 6 117
-162 111 92 39 8
-163 22 99 15 98
-164 16 83 40 85
-165 82 17 30 96
-166 90 41 9 119
-167 121 89 42 10
-168 11 113 105 43
-169 12 114 38 115
-170 44 13 112 84
-171 14 102 37 120
-172 45 81 17 96
-173 46 104 29 95
-174 47 71 82 30
-175 69 91 48 31
-176 69 80 31 32
-177 33 80 94 32
-178 110 34 18 107
-179 110 90 18 41
-180 46 103 104 19
-181 103 19 21 109
-182 79 15 49 98
-183 23 34 106 107
-184 100 24 90 41
-185 46 25 104 118
-186 79 26 49 97
-187 88 35 27 87
-188 56 70 28 86
-189 57 16 85 76
-190 121 37 10 120
-191 11 113 114 38
-192 12 25 115 118
-193 13 112 58 108
-194 100 24 14 102
-195 59 17 96 75
-196 82 83 40 30
-197 68 69 60 31
-198 67 80 50 32
-199 33 77 94 51
-200 103 61 73 19
-201 124 105 20 43
-202 72 62 21 109
-203 22 99 89 42
-204 23 114 38 106
-205 22 99 100 24
-206 25 124 118 20
-207 68 26 60 97
-208 88 37 27 120
-209 58 28 86 108
-210 33 66 94 63
-211 35 79 49 87
-212 67 50 64 54
-213 77 51 52 53
-214 91 48 52 53
-215 52 74 53 65
-216 52 53 64 54
-217 55 78 64 54
-218 61 29 73 95
-219 35 36 93 87
-220 36 92 93 39
-221 66 82 30 63
-222 89 90 41 42
-223 46 104 105 43
-224 44 61 73 84
-225 66 45 81 63
-226 56 47 70 71
-227 69 74 31 65
-228 80 59 75 32
-229 58 108 21 109
-230 23 105 106 43
-231 91 26 48 97
-232 88 89 27 42
-233 44 28 84 86
-234 33 57 94 76
-235 67 68 60 50
-236 77 67 50 51
-237 55 78 68 60
-238 55 78 36 93
-239 92 39 64 54
-240 72 83 40 62
-241 44 83 40 84
-242 77 45 81 51
-243 47 58 71 108
-244 91 48 92 39
-245 55 78 79 49
-246 66 56 70 63
-247 56 57 70 76
-248 47 71 72 62
-249 61 72 62 73
-250 57 59 75 76
-251 45 81 74 65
-252 59 74 75 65
0