Graph forms
for C4 [ 228, 8 ] = R_114(59,58)
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On this page are computer-accessible forms for the graph C4[ 228, 8 ] =
R_114(59,58).
(I) Following is a form readable by MAGMA:
g:=Graph<228|{ {2, 3}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64,
65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48,
49}, {46, 47}, {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}, {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}, {73, 74}, {69, 70}, {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}, {77, 78}, {81, 82}, {85,
86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {113,
114}, {3, 4}, {67, 68}, {59, 60}, {51, 52}, {11, 12}, {19, 20}, {27, 28}, {35,
36}, {43, 44}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {7, 8}, {71,
72}, {55, 56}, {23, 24}, {39, 40}, {87, 88}, {103, 104}, {15, 16}, {47, 48},
{79, 80}, {111, 112}, {64, 119}, {72, 127}, {128, 184}, {135, 191}, {134, 190},
{133, 189}, {132, 188}, {131, 187}, {130, 186}, {129, 185}, {65, 120}, {71,
126}, {69, 124}, {67, 122}, {128, 186}, {133, 191}, {132, 190}, {129, 187}, {66,
121}, {70, 125}, {130, 188}, {131, 189}, {31, 32}, {68, 123}, {95, 96}, {134,
192}, {167, 225}, {166, 224}, {159, 217}, {158, 216}, {151, 209}, {150, 208},
{143, 201}, {142, 200}, {135, 193}, {136, 192}, {172, 228}, {171, 227}, {170,
226}, {169, 225}, {168, 224}, {159, 215}, {158, 214}, {157, 213}, {156, 212},
{155, 211}, {154, 210}, {153, 209}, {152, 208}, {143, 199}, {142, 198}, {141,
197}, {140, 196}, {139, 195}, {138, 194}, {137, 193}, {61, 116}, {63, 118},
{136, 194}, {169, 227}, {168, 226}, {157, 215}, {156, 214}, {153, 211}, {152,
210}, {141, 199}, {140, 198}, {137, 195}, {62, 117}, {138, 196}, {170, 228},
{155, 213}, {154, 212}, {139, 197}, {60, 115}, {144, 200}, {151, 207}, {150,
206}, {149, 205}, {148, 204}, {147, 203}, {146, 202}, {145, 201}, {144, 202},
{149, 207}, {148, 206}, {145, 203}, {146, 204}, {147, 205}, {1, 115}, {4, 118},
{5, 119}, {8, 122}, {9, 123}, {12, 126}, {13, 127}, {1, 114}, {2, 116}, {3,
117}, {10, 124}, {11, 125}, {160, 216}, {167, 223}, {166, 222}, {165, 221},
{164, 220}, {163, 219}, {162, 218}, {161, 217}, {160, 218}, {165, 223}, {164,
222}, {161, 219}, {6, 120}, {163, 221}, {162, 220}, {7, 121}, {63, 64}, {14,
128}, {63, 177}, {62, 176}, {47, 161}, {46, 160}, {15, 129}, {30, 144}, {31,
145}, {78, 192}, {79, 193}, {94, 208}, {95, 209}, {110, 224}, {111, 225}, {16,
130}, {61, 175}, {60, 174}, {57, 171}, {56, 170}, {53, 167}, {52, 166}, {49,
163}, {48, 162}, {17, 131}, {20, 134}, {21, 135}, {24, 138}, {25, 139}, {28,
142}, {29, 143}, {80, 194}, {81, 195}, {84, 198}, {85, 199}, {88, 202}, {89,
203}, {92, 206}, {93, 207}, {112, 226}, {113, 227}, {18, 132}, {59, 173}, {58,
172}, {51, 165}, {50, 164}, {19, 133}, {26, 140}, {27, 141}, {82, 196}, {83,
197}, {90, 204}, {91, 205}, {114, 228}, {22, 136}, {55, 169}, {54, 168}, {23,
137}, {86, 200}, {87, 201}, {2, 171}, {4, 173}, {6, 175}, {16, 185}, {18, 187},
{20, 189}, {22, 191}, {1, 170}, {5, 174}, {17, 186}, {21, 190}, {3, 172}, {19,
188}, {32, 146}, {45, 159}, {33, 147}, {36, 150}, {37, 151}, {40, 154}, {41,
155}, {44, 158}, {96, 210}, {97, 211}, {100, 214}, {101, 215}, {104, 218}, {105,
219}, {108, 222}, {109, 223}, {34, 148}, {35, 149}, {42, 156}, {43, 157}, {98,
212}, {99, 213}, {106, 220}, {107, 221}, {7, 176}, {15, 184}, {8, 177}, {10,
179}, {12, 181}, {14, 183}, {9, 178}, {13, 182}, {38, 152}, {39, 153}, {102,
216}, {103, 217}, {11, 180}, {118, 176}, {127, 185}, {126, 184}, {119, 177},
{120, 176}, {127, 183}, {126, 182}, {121, 177}, {122, 178}, {123, 179}, {124,
180}, {125, 181}, {73, 128}, {75, 130}, {77, 132}, {79, 134}, {89, 144}, {91,
146}, {93, 148}, {95, 150}, {105, 160}, {107, 162}, {109, 164}, {111, 166},
{120, 178}, {125, 183}, {121, 179}, {124, 182}, {74, 129}, {78, 133}, {90, 145},
{94, 149}, {106, 161}, {110, 165}, {122, 180}, {123, 181}, {76, 131}, {92, 147},
{108, 163}, {23, 192}, {55, 224}, {31, 200}, {80, 135}, {88, 143}, {112, 167},
{115, 171}, {116, 172}, {117, 173}, {118, 174}, {119, 175}, {24, 193}, {58,
227}, {56, 225}, {26, 195}, {28, 197}, {30, 199}, {81, 136}, {83, 138}, {85,
140}, {87, 142}, {113, 168}, {116, 174}, {117, 175}, {25, 194}, {57, 226}, {29,
198}, {82, 137}, {86, 141}, {114, 169}, {115, 173}, {27, 196}, {59, 228}, {84,
139}, {32, 201}, {54, 223}, {52, 221}, {50, 219}, {48, 217}, {34, 203}, {36,
205}, {38, 207}, {33, 202}, {53, 222}, {49, 218}, {37, 206}, {35, 204}, {51,
220}, {64, 178}, {73, 187}, {72, 186}, {69, 183}, {68, 182}, {65, 179}, {76,
190}, {77, 191}, {66, 180}, {67, 181}, {74, 188}, {75, 189}, {39, 208}, {47,
216}, {96, 151}, {104, 159}, {40, 209}, {46, 215}, {42, 211}, {44, 213}, {97,
152}, {99, 154}, {101, 156}, {103, 158}, {41, 210}, {45, 214}, {98, 153}, {102,
157}, {70, 184}, {71, 185}, {43, 212}, {100, 155} }>;
(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: (36, 149)(37, 94)(38, 208)(93, 206)(95, 151)(150, 207) (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, 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)
c: (20, 133)(21, 78)(22, 192)(77, 190)(79, 135)(134, 191)
d: (26, 139)(27, 84)(28, 198)(83, 196)(85, 141)(140, 197)
e: (18, 131)(19, 76)(20, 190)(75, 188)(77, 133)(132, 189)
f: (41, 154)(42, 212)(98, 211)(99, 155)
g: (8, 121)(9, 66)(10, 180)(65, 178)(67, 123)(122, 179)
h: (53, 166)(54, 224)(110, 223)(111, 167)
m: (16, 129)(17, 74)(18, 188)(73, 186)(75, 131)(130, 187)
n1: (14, 127)(15, 72)(16, 186)(71, 184)(73, 129)(128, 185)
a1: (9, 122)(10, 180)(66, 179)(67, 123)
b1: (6, 119)(7, 64)(8, 178)(63, 176)(65, 121)(120, 177)
c1: (25, 138)(26, 196)(82, 195)(83, 139)
d1: (31, 144)(32, 202)(88, 201)(89, 145)
e1: (23, 136)(24, 194)(80, 193)(81, 137)
f1: (39, 152)(40, 210)(96, 209)(97, 153)
g1: (22, 135)(23, 80)(24, 194)(79, 192)(81, 137)(136, 193)
h1: (45, 158)(46, 216)(102, 215)(103, 159)
m1: (35, 148)(36, 206)(92, 205)(93, 149)
n2: (29, 142)(30, 200)(86, 199)(87, 143)
a2: (43, 156)(44, 214)(100, 213)(101, 157)
b2: (10, 123)(11, 68)(12, 182)(67, 180)(69, 125)(124, 181)
c2: (11, 124)(12, 182)(68, 181)(69, 125)
d2: (19, 132)(20, 190)(76, 189)(77, 133)
e2: (48, 161)(49, 106)(50, 220)(105, 218)(107, 163)(162, 219)
f2: (40, 153)(41, 98)(42, 212)(97, 210)(99, 155)(154, 211)
g2: (24, 137)(25, 82)(26, 196)(81, 194)(83, 139)(138, 195)
h2: (13, 126)(14, 184)(70, 183)(71, 127)
m2: (37, 150)(38, 208)(94, 207)(95, 151)
n3: (7, 120)(8, 178)(64, 177)(65, 121)
a3: (2, 170, 115, 114)(3, 56, 173, 169)(4, 55)(5, 54)(6, 53)(7, 52)(8, 51)(9,
50)(10, 49)(11, 48)(12, 47)(13, 46)(14, 45)(15, 44)(16, 43)(17, 42)(18, 41)(19,
40)(20, 39)(21, 38)(22, 37)(23, 36)(24, 35)(25, 34)(26, 33)(27, 32)(28, 31)(29,
30)(57, 59, 227, 172)(60, 113, 116, 226)(61, 112)(62, 111)(63, 110)(64, 109)(65,
108)(66, 107)(67, 106)(68, 105)(69, 104)(70, 103)(71, 102)(72, 101)(73, 100)(74,
99)(75, 98)(76, 97)(77, 96)(78, 95)(79, 94)(80, 93)(81, 92)(82, 91)(83, 90)(84,
89)(85, 88)(86, 87)(117, 225)(118, 224)(119, 223)(120, 222)(121, 221)(122,
220)(123, 219)(124, 218)(125, 217)(126, 216)(127, 215)(128, 214)(129, 213)(130,
212)(131, 211)(132, 210)(133, 209)(134, 208)(135, 207)(136, 206)(137, 205)(138,
204)(139, 203)(140, 202)(141, 201)(142, 200)(143, 199)(144, 198)(145, 197)(146,
196)(147, 195)(148, 194)(149, 193)(150, 192)(151, 191)(152, 190)(153, 189)(154,
188)(155, 187)(156, 186)(157, 185)(158, 184)(159, 183)(160, 182)(161, 181)(162,
180)(163, 179)(164, 178)(165, 177)(166, 176)(167, 175)(168, 174)(171, 228)
b3: (30, 143)(31, 88)(32, 202)(87, 200)(89, 145)(144, 201)
c3: (50, 163)(51, 108)(52, 222)(107, 220)(109, 165)(164, 221)
d3: (28, 141)(29, 86)(30, 200)(85, 198)(87, 143)(142, 199)
e3: (52, 165)(53, 110)(54, 224)(109, 222)(111, 167)(166, 223)
f3: (12, 125)(13, 70)(14, 184)(69, 182)(71, 127)(126, 183)
g3: (27, 140)(28, 198)(84, 197)(85, 141)
h3: (49, 162)(50, 220)(106, 219)(107, 163)
m3: (56, 169)(57, 227)(113, 226)(114, 170)
n4: (4, 117)(5, 62)(6, 176)(61, 174)(63, 119)(118, 175)
a4: (33, 146)(34, 204)(90, 203)(91, 147)
b4: (34, 147)(35, 92)(36, 206)(91, 204)(93, 149)(148, 205)
c4: (54, 167)(55, 112)(56, 226)(111, 224)(113, 169)(168, 225)
d4: (47, 160)(48, 218)(104, 217)(105, 161)
e4: (44, 157)(45, 102)(46, 216)(101, 214)(103, 159)(158, 215)
f4: (51, 164)(52, 222)(108, 221)(109, 165)
g4: (55, 168)(56, 226)(112, 225)(113, 169)
h4: (32, 145)(33, 90)(34, 204)(89, 202)(91, 147)(146, 203)
m4: (42, 155)(43, 100)(44, 214)(99, 212)(101, 157)(156, 213)
n5: (38, 151)(39, 96)(40, 210)(95, 208)(97, 153)(152, 209)
a5: (46, 159)(47, 104)(48, 218)(103, 216)(105, 161)(160, 217)
b5: (17, 130)(18, 188)(74, 187)(75, 131)
c5: (21, 134)(22, 192)(78, 191)(79, 135)
d5: (5, 118)(6, 176)(62, 175)(63, 119)
e5: (15, 128)(16, 186)(72, 185)(73, 129)
C4[ 228, 8 ]
228
-1 2 114 115 170
-2 1 3 116 171
-3 2 4 117 172
-4 3 5 118 173
-5 4 6 119 174
-6 5 7 120 175
-7 121 176 6 8
-8 122 177 7 9
-9 123 178 8 10
-10 11 124 179 9
-11 12 125 180 10
-12 11 13 126 181
-13 12 14 127 182
-14 13 15 128 183
-15 14 16 129 184
-16 15 17 130 185
-17 16 18 131 186
-18 132 187 17 19
-19 133 188 18 20
-20 134 189 19 21
-21 22 135 190 20
-22 23 136 191 21
-23 22 24 137 192
-24 23 25 138 193
-25 24 26 139 194
-26 25 27 140 195
-27 26 28 141 196
-28 27 29 142 197
-29 143 198 28 30
-30 144 199 29 31
-31 145 200 30 32
-32 33 146 201 31
-33 34 147 202 32
-34 33 35 148 203
-35 34 36 149 204
-36 35 37 150 205
-37 36 38 151 206
-38 37 39 152 207
-39 38 40 153 208
-40 154 209 39 41
-41 155 210 40 42
-42 156 211 41 43
-43 44 157 212 42
-44 45 158 213 43
-45 44 46 159 214
-46 45 47 160 215
-47 46 48 161 216
-48 47 49 162 217
-49 48 50 163 218
-50 49 51 164 219
-51 165 220 50 52
-52 166 221 51 53
-53 167 222 52 54
-54 55 168 223 53
-55 56 169 224 54
-56 55 57 170 225
-57 56 58 171 226
-58 57 59 172 227
-59 58 60 173 228
-60 59 115 61 174
-61 60 116 62 175
-62 176 61 117 63
-63 177 62 118 64
-64 178 63 119 65
-65 66 179 64 120
-66 121 67 180 65
-67 66 122 68 181
-68 67 123 69 182
-69 68 124 70 183
-70 69 125 71 184
-71 70 126 72 185
-72 71 127 73 186
-73 187 72 128 74
-74 188 73 129 75
-75 189 74 130 76
-76 77 190 75 131
-77 132 78 191 76
-78 77 133 79 192
-79 78 134 80 193
-80 79 135 81 194
-81 80 136 82 195
-82 81 137 83 196
-83 82 138 84 197
-84 198 83 139 85
-85 199 84 140 86
-86 200 85 141 87
-87 88 201 86 142
-88 143 89 202 87
-89 88 144 90 203
-90 89 145 91 204
-91 90 146 92 205
-92 91 147 93 206
-93 92 148 94 207
-94 93 149 95 208
-95 209 94 150 96
-96 210 95 151 97
-97 211 96 152 98
-98 99 212 97 153
-99 154 100 213 98
-100 99 155 101 214
-101 100 156 102 215
-102 101 157 103 216
-103 102 158 104 217
-104 103 159 105 218
-105 104 160 106 219
-106 220 105 161 107
-107 221 106 162 108
-108 222 107 163 109
-109 110 223 108 164
-110 165 111 224 109
-111 110 166 112 225
-112 111 167 113 226
-113 112 168 114 227
-114 1 113 169 228
-115 1 60 171 173
-116 2 61 172 174
-117 3 62 173 175
-118 176 4 63 174
-119 177 5 64 175
-120 176 178 6 65
-121 66 177 179 7
-122 67 178 180 8
-123 68 179 181 9
-124 69 180 182 10
-125 11 70 181 183
-126 12 71 182 184
-127 13 72 183 185
-128 14 73 184 186
-129 187 15 74 185
-130 188 16 75 186
-131 187 189 17 76
-132 77 188 190 18
-133 78 189 191 19
-134 79 190 192 20
-135 80 191 193 21
-136 22 81 192 194
-137 23 82 193 195
-138 24 83 194 196
-139 25 84 195 197
-140 198 26 85 196
-141 199 27 86 197
-142 198 200 28 87
-143 88 199 201 29
-144 89 200 202 30
-145 90 201 203 31
-146 91 202 204 32
-147 33 92 203 205
-148 34 93 204 206
-149 35 94 205 207
-150 36 95 206 208
-151 209 37 96 207
-152 210 38 97 208
-153 209 211 39 98
-154 99 210 212 40
-155 100 211 213 41
-156 101 212 214 42
-157 102 213 215 43
-158 44 103 214 216
-159 45 104 215 217
-160 46 105 216 218
-161 47 106 217 219
-162 220 48 107 218
-163 221 49 108 219
-164 220 222 50 109
-165 110 221 223 51
-166 111 222 224 52
-167 112 223 225 53
-168 113 224 226 54
-169 55 114 225 227
-170 1 56 226 228
-171 2 57 115 227
-172 3 58 116 228
-173 4 59 115 117
-174 5 60 116 118
-175 6 61 117 119
-176 7 62 118 120
-177 121 8 63 119
-178 122 9 64 120
-179 121 123 10 65
-180 11 66 122 124
-181 12 67 123 125
-182 13 68 124 126
-183 14 69 125 127
-184 15 70 126 128
-185 16 71 127 129
-186 17 72 128 130
-187 18 73 129 131
-188 132 19 74 130
-189 133 20 75 131
-190 132 134 21 76
-191 22 77 133 135
-192 23 78 134 136
-193 24 79 135 137
-194 25 80 136 138
-195 26 81 137 139
-196 27 82 138 140
-197 28 83 139 141
-198 29 84 140 142
-199 143 30 85 141
-200 144 31 86 142
-201 143 145 32 87
-202 33 88 144 146
-203 34 89 145 147
-204 35 90 146 148
-205 36 91 147 149
-206 37 92 148 150
-207 38 93 149 151
-208 39 94 150 152
-209 40 95 151 153
-210 154 41 96 152
-211 155 42 97 153
-212 154 156 43 98
-213 44 99 155 157
-214 45 100 156 158
-215 46 101 157 159
-216 47 102 158 160
-217 48 103 159 161
-218 49 104 160 162
-219 50 105 161 163
-220 51 106 162 164
-221 165 52 107 163
-222 166 53 108 164
-223 165 167 54 109
-224 55 110 166 168
-225 56 111 167 169
-226 57 112 168 170
-227 58 113 169 171
-228 59 114 170 172
0