Graph forms
for C4 [ 252, 54 ] = SDD(C_63(1,8))
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On this page are computer-accessible forms for the graph C4[ 252, 54 ] =
SDD(C_63(1,8)).
(I) Following is a form readable by MAGMA:
g:=Graph<252|{ {126, 127}, {122, 127}, {2, 127}, {1, 127}, {1, 129}, {41, 169},
{36, 164}, {8, 136}, {1, 128}, {27, 154}, {26, 155}, {8, 137}, {3, 130}, {2,
131}, {77, 204}, {36, 166}, {9, 138}, {89, 218}, {44, 175}, {2, 134}, {6, 130},
{5, 129}, {4, 128}, {3, 135}, {81, 213}, {1, 132}, {89, 220}, {43, 174}, {34,
167}, {74, 207}, {3, 133}, {88, 222}, {42, 172}, {39, 161}, {38, 160}, {35,
165}, {15, 137}, {83, 212}, {84, 211}, {75, 195}, {85, 221}, {5, 140}, {91,
210}, {31, 150}, {29, 148}, {27, 146}, {25, 144}, {19, 154}, {17, 152}, {14,
135}, {12, 133}, {10, 131}, {19, 153}, {40, 162}, {79, 197}, {85, 223}, {6,
141}, {48, 187}, {30, 149}, {26, 145}, {18, 153}, {13, 134}, {77, 198}, {2,
142}, {50, 190}, {3, 143}, {49, 188}, {93, 208}, {92, 209}, {86, 219}, {76,
194}, {88, 214}, {4, 139}, {86, 217}, {39, 168}, {28, 147}, {20, 155}, {11,
132}, {7, 136}, {78, 193}, {79, 192}, {8, 152}, {5, 148}, {95, 206}, {94, 207},
{7, 150}, {12, 158}, {13, 159}, {6, 149}, {33, 181}, {35, 183}, {80, 196}, {34,
183}, {47, 186}, {71, 210}, {73, 220}, {10, 156}, {91, 205}, {11, 157}, {4,
147}, {33, 182}, {24, 143}, {10, 157}, {7, 144}, {72, 223}, {91, 195}, {8, 145},
{23, 142}, {21, 140}, {66, 219}, {72, 209}, {73, 208}, {16, 138}, {46, 180}, {9,
146}, {41, 178}, {35, 184}, {22, 141}, {45, 177}, {93, 193}, {65, 221}, {69,
217}, {82, 206}, {36, 185}, {90, 199}, {67, 222}, {9, 151}, {92, 194}, {21,
139}, {68, 218}, {70, 230}, {119, 215}, {107, 203}, {100, 196}, {71, 231}, {80,
240}, {5, 164}, {108, 205}, {97, 192}, {20, 181}, {7, 166}, {66, 227}, {12,
174}, {17, 179}, {16, 178}, {13, 175}, {76, 238}, {6, 165}, {105, 202}, {78,
237}, {15, 171}, {109, 201}, {69, 225}, {75, 239}, {19, 182}, {125, 216}, {26,
191}, {24, 189}, {65, 228}, {80, 245}, {10, 172}, {99, 197}, {25, 191}, {18,
180}, {11, 173}, {67, 229}, {68, 226}, {70, 224}, {74, 236}, {4, 163}, {97,
198}, {25, 190}, {64, 232}, {64, 233}, {110, 199}, {66, 235}, {22, 188}, {22,
189}, {115, 216}, {65, 234}, {28, 176}, {67, 238}, {9, 167}, {102, 200}, {98,
204}, {29, 179}, {21, 187}, {15, 161}, {14, 160}, {65, 239}, {67, 237}, {21,
186}, {82, 227}, {83, 226}, {11, 185}, {87, 229}, {31, 173}, {16, 162}, {69,
247}, {72, 251}, {73, 250}, {74, 249}, {12, 184}, {125, 201}, {99, 215}, {23,
163}, {68, 240}, {69, 241}, {70, 242}, {71, 243}, {64, 245}, {73, 252}, {77,
248}, {81, 228}, {84, 225}, {64, 246}, {124, 202}, {90, 236}, {74, 252}, {32,
151}, {100, 211}, {99, 212}, {98, 213}, {87, 224}, {38, 158}, {82, 234}, {17,
168}, {37, 156}, {19, 170}, {79, 246}, {16, 170}, {108, 214}, {37, 159}, {66,
248}, {77, 247}, {81, 235}, {83, 233}, {18, 169}, {115, 200}, {70, 250}, {90,
230}, {71, 251}, {72, 244}, {78, 242}, {84, 232}, {68, 249}, {118, 203}, {14,
176}, {15, 177}, {79, 241}, {20, 171}, {88, 231}, {75, 244}, {76, 243}, {24,
216}, {119, 183}, {106, 170}, {105, 168}, {120, 185}, {42, 232}, {116, 182},
{107, 169}, {51, 241}, {50, 240}, {47, 237}, {46, 236}, {43, 233}, {48, 243},
{118, 181}, {55, 244}, {52, 247}, {56, 251}, {58, 249}, {59, 248}, {62, 250},
{104, 172}, {101, 161}, {13, 200}, {124, 185}, {51, 246}, {49, 244}, {44, 234},
{45, 235}, {14, 201}, {89, 158}, {50, 245}, {46, 230}, {106, 162}, {92, 148},
{57, 241}, {41, 224}, {103, 174}, {102, 175}, {100, 173}, {86, 159}, {53, 252},
{45, 228}, {43, 226}, {63, 246}, {54, 252}, {111, 165}, {58, 240}, {63, 245},
{86, 156}, {42, 225}, {108, 167}, {56, 243}, {28, 208}, {55, 251}, {54, 250},
{53, 249}, {52, 248}, {41, 229}, {31, 211}, {30, 210}, {29, 209}, {62, 242},
{109, 160}, {57, 247}, {115, 189}, {101, 171}, {94, 144}, {93, 147}, {91, 149},
{23, 216}, {119, 184}, {44, 227}, {40, 231}, {24, 200}, {59, 235}, {61, 237},
{110, 191}, {95, 141}, {119, 165}, {117, 167}, {113, 163}, {30, 205}, {60, 239},
{61, 238}, {98, 182}, {114, 166}, {112, 164}, {101, 177}, {120, 173}, {25, 207},
{60, 234}, {63, 233}, {63, 232}, {98, 181}, {22, 206}, {124, 164}, {106, 178},
{57, 225}, {58, 226}, {59, 227}, {60, 228}, {61, 229}, {62, 230}, {18, 203},
{53, 236}, {96, 186}, {124, 166}, {105, 179}, {17, 202}, {108, 183}, {96, 187},
{31, 196}, {27, 192}, {26, 199}, {118, 171}, {109, 176}, {47, 242}, {30, 195},
{28, 193}, {27, 198}, {23, 201}, {125, 163}, {116, 170}, {49, 239}, {48, 238},
{62, 224}, {20, 203}, {107, 180}, {103, 184}, {29, 194}, {56, 231}, {57, 217},
{106, 138}, {102, 134}, {94, 190}, {58, 218}, {59, 219}, {81, 177}, {60, 221},
{121, 152}, {94, 191}, {44, 206}, {117, 151}, {114, 144}, {113, 147}, {111,
141}, {103, 133}, {95, 189}, {61, 222}, {95, 188}, {112, 148}, {114, 150}, {32,
197}, {120, 157}, {87, 178}, {54, 208}, {55, 209}, {117, 146}, {55, 223}, {121,
145}, {46, 199}, {54, 220}, {109, 135}, {56, 210}, {96, 139}, {104, 131}, {96,
140}, {101, 137}, {33, 204}, {118, 155}, {116, 153}, {111, 130}, {93, 176}, {36,
202}, {116, 154}, {90, 180}, {47, 193}, {80, 190}, {34, 205}, {92, 179}, {121,
137}, {105, 152}, {121, 136}, {113, 128}, {112, 129}, {48, 194}, {107, 153},
{100, 150}, {52, 198}, {49, 195}, {51, 192}, {125, 142}, {97, 146}, {32, 212},
{123, 143}, {122, 142}, {104, 156}, {99, 151}, {35, 215}, {34, 214}, {33, 213},
{78, 186}, {85, 161}, {104, 157}, {110, 155}, {40, 222}, {51, 197}, {50, 196},
{32, 215}, {75, 188}, {76, 187}, {39, 223}, {52, 204}, {45, 213}, {84, 172},
{42, 211}, {123, 130}, {122, 131}, {103, 158}, {102, 159}, {89, 160}, {38, 220},
{126, 132}, {114, 136}, {113, 139}, {111, 149}, {88, 162}, {53, 207}, {39, 221},
{97, 154}, {37, 217}, {123, 135}, {122, 134}, {120, 132}, {115, 143}, {112,
140}, {38, 218}, {82, 175}, {83, 174}, {85, 168}, {37, 219}, {126, 128}, {123,
133}, {87, 169}, {40, 214}, {43, 212}, {126, 129}, {117, 138}, {110, 145}
}>;
(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: (2, 11)(3, 8)(4, 5)(6, 26)(7, 24)(9, 19)(12, 15)(13, 31)(14, 17)(18, 34)(20,
35)(22, 25)(23, 36)(28, 29)(30, 46)(32, 33)(37, 42)(38, 39)(40, 41)(43, 45)(44,
50)(47, 48)(49, 53)(51, 52)(54, 55)(56, 62)(58, 60)(59, 63)(64, 66)(65, 68)(70,
71)(72, 73)(74, 75)(76, 78)(77, 79)(80, 82)(81, 83)(84, 86)(85, 89)(87, 88)(90,
91)(92, 93)(94, 95)(98, 99)(100, 102)(101, 103)(105, 109)(107, 108)(110,
111)(112, 113)(114, 115)(116, 117)(118, 119)(120, 122)(121, 123)(124, 125)(127,
132)(128, 129)(130, 145)(131, 157)(133, 137)(134, 173)(135, 152)(136, 143)(138,
170)(139, 140)(141, 191)(142, 185)(144, 189)(146, 154)(147, 148)(149, 199)(150,
200)(151, 182)(153, 167)(155, 165)(156, 172)(158, 161)(159, 211)(160, 168)(162,
178)(163, 164)(166, 216)(169, 214)(171, 184)(174, 177)(175, 196)(176, 179)(180,
205)(181, 215)(183, 203)(186, 187)(188, 207)(190, 206)(192, 198)(193, 194)(195,
236)(197, 204)(201, 202)(208, 209)(210, 230)(212, 213)(217, 225)(218, 221)(219,
232)(220, 223)(222, 229)(224, 231)(226, 228)(227, 245)(233, 235)(234, 240)(237,
238)(239, 249)(241, 247)(242, 243)(244, 252)(246, 248)(250, 251) (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: (61, 67)
c: (32, 99)
d: (18, 107)
e: (5, 112)
f: (47, 78)
g: (19, 116)
h: (53, 74)
m: (8, 121)
n1: (52, 77)
a1: (34, 108)
b1: (44, 82)
c1: (50, 80)
d1: (27, 97)
e1: (24, 115)
f1: (12, 103)
g1: (41, 87)
h1: (10, 104)
m1: (26, 110)
n2: (39, 85)
a2: (57, 69)
b2: (30, 91)
c2: (7, 114)
d2: (31, 100)
e2: (62, 70)
f2: (13, 102)
g2: (17, 105)
h2: (43, 83)
m2: (22, 95)
n3: (45, 81)
a3: (6, 111)
b3: (56, 71)
c3: (38, 89)
d3: (35, 119)
e3: (20, 118)
f3: (2, 122)
g3: (16, 106)
h3: (49, 75)
m3: (36, 124)
n4: (55, 72)
a4: (37, 86)
b4: (59, 66)
c4: (4, 113)
d4: (58, 68)
e4: (60, 65)
f4: (1, 2, 23, 24, 3, 6, 35, 34, 9, 16, 19, 18, 20, 26, 8, 7, 36, 11)(4, 13, 14,
22, 12, 30, 32, 40, 27, 41, 33, 46, 15, 25, 17, 31, 5, 10)(21, 37, 28, 44, 38,
49, 43, 56, 51, 61, 52, 62, 45, 53, 39, 50, 29, 42)(47, 59, 54, 60, 58, 55, 63,
48, 57)(64, 76, 69, 78, 66, 73, 65, 68, 72)(67, 77, 70, 81, 74, 85, 80, 92, 84,
96, 86, 93, 82, 89, 75, 83, 71, 79)(87, 98, 90, 101, 94, 105, 100, 112, 104,
113, 102, 109, 95, 103, 91, 99, 88, 97)(106, 116, 107, 118, 110, 121, 114, 124,
120, 126, 122, 125, 115, 123, 111, 119, 108, 117)(127, 142, 216, 143, 130, 165,
183, 167, 138, 170, 153, 203, 155, 145, 136, 166, 185, 132)(128, 134, 201, 189,
133, 149, 215, 214, 146, 178, 182, 180, 171, 191, 152, 150, 164, 157)(129, 131,
163, 200, 135, 141, 184, 205, 151, 162, 154, 169, 181, 199, 137, 144, 202,
173)(139, 159, 176, 206, 158, 195, 212, 231, 192, 229, 204, 230, 177, 207, 168,
196, 148, 172)(140, 156, 147, 175, 160, 188, 174, 210, 197, 222, 198, 224, 213,
236, 161, 190, 179, 211)(186, 219, 208, 234, 218, 244, 233, 243, 241, 237, 248,
250, 228, 249, 223, 245, 194, 225)(187, 217, 193, 227, 220, 239, 226, 251, 246,
238, 247, 242, 235, 252, 221, 240, 209, 232)
g4: (3, 123)
h4: (15, 101)
m4: (48, 76)
n5: (33, 98)
a5: (51, 79)
b5: (42, 84)
c5: (9, 117)
d5: (11, 120)
e5: (54, 73)
f5: (63, 64)
g5: (46, 90)
h5: (21, 96)
m5: (14, 109)
n6: (25, 94)
a6: (2, 4)(5, 11)(6, 12)(7, 17)(10, 21)(13, 28)(14, 24)(15, 26)(16, 27)(18,
33)(22, 38)(25, 39)(29, 31)(30, 43)(32, 34)(37, 47)(40, 51)(41, 52)(42, 48)(44,
54)(45, 46)(49, 58)(50, 55)(53, 60)(56, 63)(57, 61)(59, 62)(64, 71)(65, 74)(66,
70)(67, 69)(68, 75)(72, 80)(73, 82)(76, 84)(77, 87)(78, 86)(79, 88)(81, 90)(83,
91)(85, 94)(89, 95)(92, 100)(93, 102)(96, 104)(97, 106)(98, 107)(99, 108)(101,
110)(103, 111)(105, 114)(109, 115)(112, 120)(113, 122)(127, 128)(129, 132)(130,
133)(131, 139)(134, 147)(135, 143)(136, 152)(137, 145)(138, 146)(140, 157)(141,
158)(142, 163)(144, 168)(148, 173)(149, 174)(150, 179)(151, 167)(153, 182)(154,
170)(155, 171)(156, 186)(159, 193)(160, 189)(161, 191)(162, 192)(164, 185)(165,
184)(166, 202)(169, 204)(172, 187)(175, 208)(176, 200)(177, 199)(178, 198)(180,
213)(181, 203)(183, 215)(188, 218)(190, 223)(194, 211)(195, 226)(196, 209)(197,
214)(201, 216)(205, 212)(206, 220)(207, 221)(210, 233)(217, 237)(219, 242)(222,
241)(224, 248)(225, 238)(227, 250)(228, 236)(229, 247)(230, 235)(231, 246)(232,
243)(234, 252)(239, 249)(240, 244)(245, 251)
b6: (29, 92)
c6: (23, 125)
d6: (28, 93)
C4[ 252, 54 ]
252
-1 132 127 128 129
-2 134 127 131 142
-3 143 133 135 130
-4 147 128 139 163
-5 148 129 140 164
-6 165 149 130 141
-7 144 166 136 150
-8 145 136 137 152
-9 167 146 138 151
-10 156 157 172 131
-11 132 157 173 185
-12 133 158 184 174
-13 134 200 159 175
-14 176 135 201 160
-15 177 137 171 161
-16 178 170 138 162
-17 168 179 202 152
-18 169 180 203 153
-19 154 170 182 153
-20 155 181 203 171
-21 187 139 140 186
-22 188 189 206 141
-23 201 216 163 142
-24 143 189 200 216
-25 144 190 191 207
-26 155 199 145 191
-27 154 198 146 192
-28 176 147 193 208
-29 209 179 148 194
-30 210 149 205 195
-31 211 150 173 196
-32 212 215 151 197
-33 213 181 182 204
-34 167 214 183 205
-35 165 215 183 184
-36 166 202 185 164
-37 156 159 217 219
-38 220 158 160 218
-39 221 168 223 161
-40 231 222 214 162
-41 178 169 224 229
-42 232 211 225 172
-43 233 212 226 174
-44 234 227 206 175
-45 177 213 235 228
-46 199 180 236 230
-47 242 193 237 186
-48 187 243 194 238
-49 188 244 195 239
-50 190 245 196 240
-51 246 192 197 241
-52 198 247 204 248
-53 236 249 207 252
-54 220 250 208 252
-55 209 244 223 251
-56 231 210 243 251
-57 225 247 217 241
-58 226 249 218 240
-59 235 248 227 219
-60 221 234 228 239
-61 222 237 238 229
-62 242 224 250 230
-63 232 233 245 246
-64 232 233 245 246
-65 221 234 228 239
-66 235 248 227 219
-67 222 237 238 229
-68 226 249 218 240
-69 225 247 217 241
-70 242 224 250 230
-71 231 210 243 251
-72 209 244 223 251
-73 220 250 208 252
-74 236 249 207 252
-75 188 244 195 239
-76 187 243 194 238
-77 198 247 204 248
-78 242 193 237 186
-79 246 192 197 241
-80 190 245 196 240
-81 177 213 235 228
-82 234 227 206 175
-83 233 212 226 174
-84 232 211 225 172
-85 221 168 223 161
-86 156 159 217 219
-87 178 169 224 229
-88 231 222 214 162
-89 220 158 160 218
-90 199 180 236 230
-91 210 149 205 195
-92 209 179 148 194
-93 176 147 193 208
-94 144 190 191 207
-95 188 189 206 141
-96 187 139 140 186
-97 154 198 146 192
-98 213 181 182 204
-99 212 215 151 197
-100 211 150 173 196
-101 177 137 171 161
-102 134 200 159 175
-103 133 158 184 174
-104 156 157 172 131
-105 168 179 202 152
-106 178 170 138 162
-107 169 180 203 153
-108 167 214 183 205
-109 176 135 201 160
-110 155 199 145 191
-111 165 149 130 141
-112 148 129 140 164
-113 147 128 139 163
-114 144 166 136 150
-115 143 189 200 216
-116 154 170 182 153
-117 167 146 138 151
-118 155 181 203 171
-119 165 215 183 184
-120 132 157 173 185
-121 145 136 137 152
-122 134 127 131 142
-123 143 133 135 130
-124 166 202 185 164
-125 201 216 163 142
-126 132 127 128 129
-127 1 122 2 126
-128 1 113 4 126
-129 1 112 5 126
-130 111 123 3 6
-131 122 2 104 10
-132 11 1 126 120
-133 12 123 3 103
-134 122 2 13 102
-135 123 3 14 109
-136 121 114 7 8
-137 121 101 15 8
-138 16 106 117 9
-139 113 4 96 21
-140 112 5 96 21
-141 22 111 6 95
-142 23 122 2 125
-143 24 123 3 115
-144 25 114 94 7
-145 110 121 26 8
-146 27 117 9 97
-147 113 4 93 28
-148 112 92 5 29
-149 111 91 6 30
-150 100 114 7 31
-151 99 117 9 32
-152 121 17 105 8
-153 116 18 19 107
-154 27 116 19 97
-155 110 26 118 20
-156 37 104 86 10
-157 11 104 10 120
-158 12 89 103 38
-159 13 102 37 86
-160 89 14 38 109
-161 101 15 39 85
-162 88 16 40 106
-163 23 113 4 125
-164 112 36 124 5
-165 111 35 6 119
-166 36 124 114 7
-167 34 117 9 108
-168 17 39 105 85
-169 18 41 107 87
-170 16 116 106 19
-171 101 15 118 20
-172 104 84 42 10
-173 11 100 31 120
-174 12 103 83 43
-175 44 13 102 82
-176 14 93 28 109
-177 45 101 15 81
-178 16 106 41 87
-179 92 17 105 29
-180 46 90 18 107
-181 33 118 20 98
-182 33 116 19 98
-183 34 35 108 119
-184 12 35 103 119
-185 11 36 124 120
-186 78 47 96 21
-187 48 96 21 76
-188 22 49 95 75
-189 22 24 115 95
-190 25 80 50 94
-191 110 25 26 94
-192 79 27 51 97
-193 78 47 93 28
-194 48 92 29 76
-195 91 49 30 75
-196 100 80 50 31
-197 99 79 51 32
-198 77 27 52 97
-199 110 46 90 26
-200 13 24 102 115
-201 23 14 125 109
-202 36 124 17 105
-203 18 107 118 20
-204 33 77 52 98
-205 34 91 30 108
-206 22 44 82 95
-207 25 94 74 53
-208 93 28 73 54
-209 55 92 72 29
-210 56 91 71 30
-211 100 84 31 42
-212 99 83 32 43
-213 33 45 81 98
-214 88 34 40 108
-215 99 35 119 32
-216 23 24 125 115
-217 57 69 37 86
-218 89 68 58 38
-219 66 37 59 86
-220 89 38 73 54
-221 60 39 85 65
-222 88 67 61 40
-223 55 39 72 85
-224 70 62 41 87
-225 57 69 84 42
-226 68 58 83 43
-227 44 66 59 82
-228 45 81 60 65
-229 67 61 41 87
-230 46 90 70 62
-231 88 56 71 40
-232 84 63 42 64
-233 83 63 64 43
-234 44 60 82 65
-235 66 45 59 81
-236 46 90 74 53
-237 67 78 47 61
-238 67 48 61 76
-239 49 60 75 65
-240 68 58 80 50
-241 57 79 69 51
-242 78 47 70 62
-243 56 48 71 76
-244 55 49 72 75
-245 80 50 63 64
-246 79 51 63 64
-247 77 57 69 52
-248 66 77 59 52
-249 68 58 74 53
-250 70 62 73 54
-251 55 56 71 72
-252 73 74 53 54
0