Graph forms
for C4 [ 224, 34 ] = SS[224,2]
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On this page are computer-accessible forms for the graph C4[ 224, 34 ] =
SS[224,2].
(I) Following is a form readable by MAGMA:
g:=Graph<224|{ {1, 3}, {21, 23}, {8, 10}, {1, 2}, {40, 43}, {20, 23}, {9, 10},
{100, 103}, {101, 102}, {1, 5}, {98, 102}, {99, 103}, {1, 4}, {41, 44}, {40,
45}, {17, 23}, {40, 47}, {41, 46}, {19, 27}, {209, 217}, {23, 31}, {18, 27},
{96, 105}, {97, 104}, {16, 26}, {18, 24}, {101, 111}, {212, 223}, {6, 10}, {210,
222}, {208, 220}, {22, 26}, {97, 109}, {7, 10}, {39, 42}, {20, 25}, {17, 28},
{16, 30}, {21, 27}, {19, 29}, {22, 25}, {12, 28}, {203, 219}, {167, 183}, {164,
180}, {163, 179}, {38, 54}, {11, 26}, {164, 181}, {163, 178}, {15, 30}, {12,
29}, {15, 29}, {37, 55}, {13, 30}, {162, 177}, {39, 52}, {39, 51}, {171, 191},
{170, 190}, {162, 182}, {13, 24}, {168, 189}, {98, 119}, {14, 24}, {204, 218},
{173, 187}, {161, 183}, {39, 49}, {96, 118}, {11, 28}, {207, 216}, {202, 221},
{200, 223}, {171, 188}, {14, 25}, {99, 123}, {199, 223}, {193, 217}, {41, 48},
{206, 215}, {100, 125}, {32, 58}, {196, 222}, {192, 218}, {34, 56}, {33, 59},
{41, 50}, {205, 214}, {194, 217}, {34, 62}, {201, 213}, {166, 186}, {165, 185},
{37, 57}, {35, 63}, {40, 53}, {195, 222}, {165, 184}, {35, 60}, {84, 116}, {92,
124}, {82, 115}, {31, 61}, {80, 114}, {88, 122}, {81, 114}, {156, 191}, {155,
184}, {89, 122}, {91, 120}, {82, 119}, {197, 224}, {158, 187}, {151, 178}, {90,
127}, {91, 126}, {79, 105}, {198, 224}, {159, 185}, {156, 186}, {154, 188}, {85,
115}, {145, 183}, {83, 116}, {150, 177}, {83, 123}, {158, 182}, {150, 190}, {84,
125}, {151, 189}, {94, 117}, {152, 179}, {80, 124}, {147, 191}, {91, 118}, {153,
180}, {93, 112}, {148, 185}, {87, 121}, {86, 121}, {154, 181}, {90, 117}, {95,
112}, {140, 188}, {92, 109}, {137, 187}, {88, 107}, {211, 224}, {95, 108}, {128,
179}, {141, 190}, {142, 189}, {94, 106}, {129, 180}, {78, 120}, {90, 108}, {73,
126}, {89, 110}, {93, 106}, {130, 181}, {27, 35}, {28, 36}, {25, 32}, {81, 104},
{87, 110}, {24, 34}, {85, 111}, {26, 33}, {30, 37}, {29, 38}, {131, 184}, {86,
107}, {135, 186}, {139, 182}, {79, 113}, {78, 113}, {132, 196}, {136, 200}, {14,
79}, {63, 126}, {18, 80}, {61, 127}, {49, 115}, {21, 86}, {45, 110}, {46, 106},
{47, 107}, {58, 127}, {51, 117}, {134, 192}, {133, 194}, {48, 120}, {22, 95},
{16, 91}, {16, 92}, {138, 198}, {49, 124}, {52, 121}, {143, 193}, {17, 94}, {18,
93}, {42, 122}, {152, 200}, {52, 102}, {53, 103}, {11, 88}, {46, 125}, {15, 90},
{31, 73}, {149, 195}, {14, 89}, {44, 123}, {144, 199}, {146, 197}, {13, 85},
{53, 109}, {15, 87}, {11, 82}, {155, 194}, {47, 118}, {45, 116}, {43, 114}, {13,
84}, {42, 112}, {43, 113}, {44, 119}, {157, 198}, {51, 104}, {50, 105}, {48,
108}, {12, 81}, {50, 111}, {31, 66}, {19, 78}, {153, 199}, {157, 195}, {12, 83},
{159, 192}, {36, 68}, {188, 220}, {184, 216}, {176, 208}, {161, 193}, {166,
199}, {182, 215}, {176, 209}, {174, 204}, {181, 215}, {180, 214}, {175, 205},
{35, 64}, {33, 69}, {185, 221}, {177, 213}, {174, 202}, {160, 196}, {34, 70},
{36, 65}, {191, 218}, {190, 219}, {179, 214}, {174, 203}, {160, 197}, {33, 71},
{189, 219}, {36, 67}, {187, 220}, {186, 221}, {178, 213}, {174, 201}, {32, 72},
{172, 196}, {37, 77}, {168, 193}, {32, 74}, {38, 76}, {169, 194}, {169, 197},
{172, 192}, {170, 198}, {38, 75}, {173, 195}, {167, 200}, {183, 216}, {17, 96},
{21, 100}, {20, 101}, {19, 98}, {20, 97}, {22, 99}, {175, 212}, {175, 211},
{175, 210}, {176, 206}, {176, 207}, {42, 161}, {45, 160}, {8, 153}, {58, 171},
{8, 155}, {9, 154}, {55, 163}, {54, 163}, {6, 158}, {62, 166}, {61, 165}, {6,
159}, {63, 166}, {60, 165}, {59, 162}, {7, 157}, {7, 156}, {56, 164}, {57, 164},
{6, 152}, {9, 151}, {8, 150}, {109, 207}, {114, 208}, {54, 149}, {55, 148},
{108, 207}, {105, 205}, {106, 206}, {50, 151}, {55, 146}, {54, 147}, {104, 205},
{107, 206}, {7, 161}, {119, 208}, {9, 160}, {51, 154}, {49, 155}, {63, 149},
{59, 145}, {52, 158}, {120, 210}, {58, 145}, {121, 210}, {62, 146}, {53, 152},
{103, 201}, {122, 212}, {125, 211}, {48, 159}, {102, 201}, {123, 212}, {124,
211}, {44, 156}, {62, 142}, {60, 141}, {56, 138}, {60, 137}, {43, 157}, {47,
153}, {56, 143}, {46, 150}, {116, 204}, {115, 202}, {117, 204}, {57, 131}, {113,
203}, {112, 203}, {59, 135}, {118, 202}, {57, 132}, {111, 209}, {61, 130}, {110,
209}, {80, 144}, {66, 128}, {74, 136}, {65, 130}, {70, 133}, {71, 131}, {74,
142}, {68, 129}, {76, 137}, {65, 135}, {78, 136}, {72, 143}, {75, 140}, {72,
128}, {77, 133}, {73, 129}, {66, 139}, {64, 138}, {76, 134}, {64, 139}, {77,
134}, {70, 141}, {69, 136}, {127, 178}, {67, 140}, {75, 132}, {126, 177}, {69,
148}, {88, 138}, {4, 215}, {67, 144}, {3, 214}, {84, 129}, {86, 131}, {89, 140},
{95, 137}, {2, 213}, {71, 144}, {68, 147}, {85, 130}, {87, 128}, {92, 139}, {3,
218}, {5, 220}, {4, 221}, {2, 216}, {5, 223}, {3, 217}, {93, 135}, {94, 133},
{2, 222}, {79, 147}, {83, 142}, {5, 219}, {81, 143}, {82, 141}, {101, 134}, {4,
224}, {76, 168}, {72, 173}, {73, 172}, {97, 132}, {74, 172}, {64, 167}, {65,
168}, {67, 169}, {71, 173}, {66, 169}, {75, 167}, {70, 171}, {68, 170}, {69,
170}, {77, 162}, {100, 148}, {96, 146}, {98, 145}, {99, 149} }>;
(II) A more general form is to represent the graph as the orbit of {1, 3}
under the group generated by the following permutations:
a: (3, 4)(8, 9)(11, 12)(14, 18)(15, 16)(19, 22)(20, 21)(25, 27)(26, 29)(32,
35)(33, 38)(39, 40)(42, 43)(45, 49)(46, 50)(47, 51)(52, 53)(54, 59)(55, 77)(58,
63)(60, 74)(61, 73)(62, 70)(64, 72)(65, 68)(69, 76)(71, 75)(78, 95)(79, 93)(80,
89)(81, 88)(82, 83)(84, 85)(86, 97)(87, 92)(90, 91)(94, 96)(98, 99)(100,
101)(102, 103)(104, 107)(105, 106)(108, 120)(109, 121)(110, 124)(111, 125)(112,
113)(114, 122)(115, 116)(117, 118)(119, 123)(126, 127)(128, 139)(129, 130)(131,
132)(133, 146)(134, 148)(135, 147)(136, 137)(138, 143)(140, 144)(141, 142)(145,
149)(150, 151)(152, 158)(153, 154)(155, 160)(157, 161)(162, 163)(165, 172)(166,
171)(167, 173)(168, 170)(175, 176)(177, 178)(179, 182)(180, 181)(183, 195)(184,
196)(185, 192)(186, 191)(187, 200)(188, 199)(189, 190)(193, 198)(194, 197)(202,
204)(205, 206)(207, 210)(208, 212)(209, 211)(214, 215)(216, 222)(217, 224)(218,
221)(220, 223) (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: (1, 10)(2, 8)(3, 7)(4, 6)(5, 9)(11, 15)(13, 22)(17, 19)(18, 20)(23, 27)(24,
25)(26, 30)(28, 29)(31, 35)(32, 34)(33, 37)(36, 38)(39, 176)(40, 175)(41,
174)(42, 209)(43, 205)(44, 204)(45, 212)(46, 201)(47, 210)(48, 202)(49, 207)(50,
203)(51, 208)(52, 206)(53, 211)(54, 68)(55, 69)(56, 72)(57, 71)(58, 70)(59,
77)(60, 61)(62, 74)(63, 73)(64, 66)(65, 76)(67, 75)(78, 96)(80, 97)(82, 90)(84,
99)(85, 95)(87, 88)(93, 101)(94, 98)(102, 106)(103, 125)(104, 114)(105,
113)(107, 121)(108, 115)(109, 124)(110, 122)(111, 112)(116, 123)(117, 119)(118,
120)(127, 141)(128, 138)(129, 149)(130, 137)(132, 144)(133, 145)(134, 135)(136,
146)(150, 213)(151, 219)(152, 224)(153, 222)(154, 220)(155, 216)(156, 218)(157,
214)(158, 215)(159, 221)(160, 223)(161, 217)(163, 170)(164, 173)(166, 172)(167,
169)(178, 190)(179, 198)(180, 195)(181, 187)(183, 194)(186, 192)(196, 199)(197,
200)
c: (3, 4, 5)(7, 9, 8)(11, 12, 17)(13, 18, 14)(15, 21, 22)(16, 19, 20)(23, 26,
29)(25, 30, 27)(31, 33, 38)(32, 37, 35)(39, 40, 41)(42, 45, 46)(43, 50, 49)(44,
51, 47)(48, 52, 53)(54, 61, 71)(55, 60, 72)(56, 62, 70)(57, 63, 58)(59, 75,
73)(64, 74, 77)(65, 67, 68)(66, 69, 76)(78, 101, 92)(79, 85, 80)(81, 96, 82)(83,
94, 88)(84, 93, 89)(86, 99, 90)(87, 100, 95)(91, 98, 97)(102, 109, 120)(103,
108, 121)(104, 118, 119)(105, 115, 114)(106, 122, 116)(107, 123, 117)(110, 125,
112)(111, 124, 113)(126, 145, 132)(127, 131, 149)(128, 148, 137)(129, 135,
140)(130, 144, 147)(133, 138, 142)(134, 139, 136)(141, 143, 146)(150, 161,
160)(151, 155, 157)(152, 159, 158)(153, 156, 154)(162, 167, 172)(163, 165,
173)(164, 166, 171)(168, 169, 170)(174, 176, 175)(177, 183, 196)(178, 184,
195)(179, 185, 187)(180, 186, 188)(181, 199, 191)(182, 200, 192)(189, 194,
198)(190, 193, 197)(201, 207, 210)(202, 208, 205)(203, 209, 211)(204, 206,
212)(213, 216, 222)(214, 221, 220)(215, 223, 218)(217, 224, 219)
d: (1, 11, 222, 36, 216, 12)(2, 28)(3, 82, 210, 68, 184, 29)(4, 26, 196, 65,
207, 83)(5, 88, 195, 67, 183, 81)(6, 24)(7, 80, 200, 56, 187, 89)(8, 27, 179,
70, 52, 79)(9, 93, 53, 62, 182, 25)(10, 18, 152, 34, 158, 14)(13, 159)(15, 218,
115, 120, 129, 165)(16, 172, 130, 108, 116, 221)(17, 213)(19, 214, 141, 121,
147, 155)(20, 151, 106, 103, 146, 162)(21, 163, 133, 102, 105, 150)(22, 160,
135, 109, 142, 215)(23, 178, 94, 201, 96, 177)(30, 192, 85, 48, 84, 185)(31,
127, 117, 174, 118, 126)(32, 154, 112, 40, 166, 139)(33, 132, 168, 176, 123,
224)(35, 128, 171, 39, 113, 153)(37, 134, 111, 41, 125, 148)(38, 217, 119, 175,
170, 131)(42, 43, 199, 64, 72, 188)(44, 211, 69, 57, 76, 209)(45, 186, 92, 74,
181, 95)(46, 100, 55, 77, 101, 50)(47, 63, 66, 58, 51, 203)(49, 78, 180, 60, 87,
191)(54, 194, 98, 205, 190, 86)(59, 97, 189, 206, 99, 197)(61, 90, 204, 202, 91,
73)(71, 75, 193, 208, 212, 198)(104, 219, 107, 149, 169, 145)(110, 156, 124,
136, 164, 137)(114, 223, 138, 173, 140, 161)(122, 157, 144, 167, 143, 220)
e: (2, 3, 4)(6, 9, 8)(11, 19, 14)(12, 18, 22)(13, 16, 15)(17, 21, 20)(24, 26,
29)(25, 28, 27)(32, 36, 35)(33, 38, 34)(39, 41, 40)(42, 44, 43)(45, 49, 48)(46,
53, 51)(47, 52, 50)(54, 56, 59)(55, 57, 77)(58, 68, 64)(60, 74, 67)(61, 73,
66)(62, 71, 76)(63, 72, 65)(69, 75, 70)(78, 89, 82)(79, 88, 98)(80, 95, 83)(81,
93, 99)(84, 92, 90)(85, 91, 87)(86, 101, 96)(94, 100, 97)(102, 105, 107)(103,
104, 106)(108, 116, 124)(109, 117, 125)(110, 115, 120)(111, 118, 121)(112, 123,
114)(113, 122, 119)(126, 128, 130)(127, 129, 139)(131, 134, 146)(132, 133,
148)(135, 149, 143)(136, 140, 141)(137, 142, 144)(138, 145, 147)(150, 152,
154)(151, 153, 158)(155, 159, 160)(156, 157, 161)(162, 163, 164)(165, 172,
169)(166, 173, 168)(167, 171, 170)(174, 175, 176)(177, 179, 181)(178, 180,
182)(183, 191, 198)(184, 192, 197)(185, 196, 194)(186, 195, 193)(187, 189,
199)(188, 190, 200)(201, 205, 206)(202, 210, 209)(203, 212, 208)(204, 211,
207)(213, 214, 215)(216, 218, 224)(217, 221, 222)(219, 223, 220)
C4[ 224, 34 ]
224
-1 2 3 4 5
-2 1 222 213 216
-3 1 214 217 218
-4 1 221 224 215
-5 220 1 223 219
-6 158 159 152 10
-7 156 157 161 10
-8 155 150 10 153
-9 154 160 151 10
-10 6 7 8 9
-11 88 26 82 28
-12 81 28 83 29
-13 24 84 30 85
-14 89 24 79 25
-15 90 29 30 87
-16 91 26 92 30
-17 23 28 94 96
-18 24 80 27 93
-19 78 27 29 98
-20 23 101 25 97
-21 23 100 27 86
-22 99 25 26 95
-23 17 20 31 21
-24 34 13 14 18
-25 22 14 20 32
-26 11 22 33 16
-27 35 18 19 21
-28 11 12 36 17
-29 12 15 38 19
-30 13 15 37 16
-31 66 23 61 73
-32 25 58 72 74
-33 69 26 59 71
-34 56 24 70 62
-35 27 60 63 64
-36 67 68 28 65
-37 55 77 57 30
-38 29 75 54 76
-39 49 51 52 42
-40 45 47 53 43
-41 44 46 48 50
-42 122 112 39 161
-43 113 157 114 40
-44 123 156 41 119
-45 110 116 160 40
-46 125 106 150 41
-47 40 107 118 153
-48 159 41 108 120
-49 155 124 115 39
-50 111 105 41 151
-51 154 104 39 117
-52 121 102 158 39
-53 103 40 152 109
-54 147 38 149 163
-55 146 37 148 163
-56 143 34 138 164
-57 132 37 131 164
-58 145 127 171 32
-59 33 145 135 162
-60 165 35 137 141
-61 165 127 31 130
-62 34 166 146 142
-63 166 35 126 149
-64 35 167 138 139
-65 36 135 168 130
-66 169 128 139 31
-67 144 36 169 140
-68 36 147 170 129
-69 33 136 148 170
-70 34 133 171 141
-71 33 144 173 131
-72 143 128 173 32
-73 126 172 129 31
-74 136 172 32 142
-75 132 167 38 140
-76 134 168 38 137
-77 133 134 37 162
-78 113 136 19 120
-79 14 113 147 105
-80 144 124 114 18
-81 143 12 114 104
-82 11 115 119 141
-83 12 123 116 142
-84 13 125 116 129
-85 111 13 115 130
-86 121 107 21 131
-87 110 121 15 128
-88 11 122 138 107
-89 110 122 14 140
-90 15 127 117 108
-91 16 126 118 120
-92 124 16 139 109
-93 112 135 18 106
-94 133 17 106 117
-95 22 112 137 108
-96 146 17 105 118
-97 132 104 20 109
-98 145 102 19 119
-99 22 123 103 149
-100 103 125 148 21
-101 111 134 102 20
-102 101 201 52 98
-103 99 100 201 53
-104 81 51 205 97
-105 79 50 205 96
-106 46 93 94 206
-107 88 47 206 86
-108 90 48 95 207
-109 92 53 97 207
-110 209 45 89 87
-111 209 101 50 85
-112 93 203 95 42
-113 78 79 203 43
-114 80 81 43 208
-115 202 49 82 85
-116 45 83 204 84
-117 90 94 204 51
-118 47 91 202 96
-119 44 82 98 208
-120 78 210 91 48
-121 210 52 86 87
-122 88 89 212 42
-123 44 99 212 83
-124 211 80 92 49
-125 100 46 211 84
-126 177 91 73 63
-127 90 178 58 61
-128 66 179 72 87
-129 68 180 73 84
-130 181 61 85 65
-131 57 71 184 86
-132 57 75 97 196
-133 77 70 94 194
-134 77 101 192 76
-135 59 93 65 186
-136 78 200 69 74
-137 187 60 95 76
-138 88 198 56 64
-139 66 92 182 64
-140 67 89 188 75
-141 190 70 60 82
-142 189 83 62 74
-143 56 81 72 193
-144 67 199 80 71
-145 58 59 183 98
-146 55 62 96 197
-147 68 79 191 54
-148 55 100 69 185
-149 99 63 195 54
-150 177 46 190 8
-151 178 189 50 9
-152 200 179 6 53
-153 199 47 180 8
-154 188 181 51 9
-155 49 194 8 184
-156 44 191 7 186
-157 198 7 195 43
-158 187 6 182 52
-159 48 192 6 185
-160 45 9 196 197
-161 193 7 183 42
-162 77 177 59 182
-163 55 178 179 54
-164 56 57 180 181
-165 60 61 184 185
-166 199 62 63 186
-167 200 183 64 75
-168 189 193 65 76
-169 66 67 194 197
-170 198 68 69 190
-171 188 58 70 191
-172 192 73 74 196
-173 187 71 72 195
-174 201 202 203 204
-175 210 211 212 205
-176 209 206 207 208
-177 213 126 150 162
-178 213 127 151 163
-179 214 128 152 163
-180 214 129 153 164
-181 154 215 130 164
-182 158 215 139 162
-183 145 167 161 216
-184 165 155 216 131
-185 165 221 148 159
-186 166 221 156 135
-187 220 158 137 173
-188 154 220 171 140
-189 168 151 142 219
-190 170 150 141 219
-191 156 147 171 218
-192 134 159 172 218
-193 143 168 161 217
-194 133 155 169 217
-195 222 157 149 173
-196 132 222 160 172
-197 146 169 224 160
-198 157 224 170 138
-199 144 166 223 153
-200 167 223 136 152
-201 102 103 213 174
-202 221 115 118 174
-203 112 113 174 219
-204 116 117 174 218
-205 104 214 105 175
-206 176 215 106 107
-207 176 216 108 109
-208 176 220 114 119
-209 110 176 111 217
-210 121 222 120 175
-211 124 125 224 175
-212 122 123 223 175
-213 177 2 178 201
-214 3 179 180 205
-215 4 181 182 206
-216 2 183 184 207
-217 209 3 193 194
-218 3 191 192 204
-219 189 190 5 203
-220 187 188 5 208
-221 4 202 185 186
-222 210 2 195 196
-223 199 200 212 5
-224 198 211 4 197
0