Graph forms
for C4 [ 192, 132 ] = XI(Rmap(96,17){6,6|3}_8)
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On this page are computer-accessible forms for the graph C4[ 192, 132 ] =
XI(Rmap(96,17){6,6|3}_8).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {92, 124}, {80, 113}, {94, 125}, {89, 125}, {90, 126}, {73, 108},
{77, 107}, {88, 126}, {90, 115}, {83, 124}, {65, 113}, {64, 114}, {77, 118},
{79, 114}, {73, 119}, {76, 115}, {41, 104}, {55, 117}, {42, 105}, {59, 127},
{62, 123}, {37, 109}, {42, 100}, {59, 117}, {40, 103}, {59, 116}, {39, 118},
{40, 121}, {57, 107}, {60, 110}, {41, 122}, {47, 123}, {58, 108}, {59, 109},
{38, 127}, {54, 111}, {60, 103}, {37, 120}, {32, 126}, {54, 104}, {1, 97}, {3,
98}, {11, 106}, {9, 104}, {7, 102}, {5, 100}, {1, 99}, {31, 125}, {30, 124},
{27, 121}, {26, 120}, {23, 117}, {18, 112}, {15, 109}, {14, 108}, {4, 102}, {1,
98}, {10, 105}, {6, 101}, {2, 97}, {1, 101}, {7, 99}, {3, 103}, {2, 102}, {22,
115}, {2, 100}, {13, 107}, {4, 99}, {21, 114}, {18, 122}, {23, 127}, {3, 106},
{16, 121}, {6, 108}, {12, 102}, {7, 109}, {2, 105}, {17, 122}, {4, 111}, {4,
104}, {28, 112}, {27, 119}, {19, 127}, {6, 106}, {3, 110}, {16, 125}, {12, 97},
{5, 107}, {26, 116}, {25, 119}, {24, 118}, {21, 123}, {11, 101}, {8, 103}, {17,
126}, {6, 119}, {19, 98}, {8, 121}, {5, 118}, {15, 124}, {11, 120}, {9, 122},
{5, 112}, {27, 110}, {20, 97}, {14, 123}, {20, 99}, {28, 100}, {29, 101}, {8,
113}, {19, 106}, {12, 117}, {10, 115}, {10, 112}, {9, 114}, {18, 105}, {15,
116}, {13, 113}, {18, 111}, {16, 110}, {17, 111}, {7, 120}, {29, 98}, {11, 116},
{23, 151}, {51, 179}, {21, 148}, {34, 163}, {63, 190}, {16, 146}, {17, 147},
{22, 149}, {42, 174}, {45, 171}, {62, 184}, {15, 136}, {71, 192}, {12, 132},
{40, 160}, {37, 173}, {33, 169}, {32, 168}, {14, 134}, {13, 133}, {48, 184},
{49, 185}, {61, 181}, {8, 129}, {31, 150}, {10, 131}, {9, 130}, {53, 190}, {60,
176}, {63, 179}, {43, 166}, {44, 162}, {47, 161}, {52, 186}, {61, 178}, {35,
179}, {36, 180}, {56, 168}, {22, 135}, {32, 177}, {28, 141}, {81, 192}, {24,
138}, {25, 139}, {51, 161}, {28, 143}, {29, 142}, {46, 189}, {52, 167}, {20,
128}, {50, 167}, {26, 140}, {43, 189}, {38, 176}, {57, 175}, {19, 132}, {87,
192}, {57, 174}, {46, 182}, {47, 183}, {51, 171}, {52, 172}, {30, 135}, {44,
181}, {55, 174}, {20, 143}, {49, 170}, {54, 173}, {13, 144}, {93, 192}, {27,
134}, {24, 133}, {53, 168}, {23, 137}, {14, 145}, {25, 134}, {50, 146}, {33,
128}, {35, 130}, {60, 157}, {38, 132}, {39, 133}, {50, 144}, {51, 145}, {34,
129}, {43, 136}, {47, 140}, {39, 131}, {41, 141}, {58, 158}, {63, 155}, {44,
137}, {46, 139}, {63, 154}, {52, 146}, {53, 147}, {62, 152}, {32, 135}, {45,
138}, {36, 131}, {48, 152}, {55, 159}, {41, 128}, {54, 156}, {61, 151}, {44,
135}, {56, 147}, {61, 150}, {33, 141}, {56, 148}, {31, 178}, {48, 158}, {53,
155}, {30, 177}, {62, 145}, {36, 149}, {34, 144}, {39, 149}, {50, 129}, {55,
132}, {21, 161}, {45, 153}, {22, 162}, {58, 142}, {42, 159}, {40, 158}, {35,
148}, {45, 154}, {30, 166}, {46, 150}, {31, 167}, {33, 152}, {37, 156}, {35,
154}, {56, 130}, {24, 163}, {38, 157}, {34, 153}, {49, 141}, {57, 133}, {58,
134}, {25, 164}, {43, 150}, {29, 160}, {48, 142}, {49, 143}, {26, 165}, {36,
155}, {91, 153}, {72, 139}, {84, 151}, {75, 136}, {74, 142}, {73, 140}, {74,
143}, {85, 157}, {82, 155}, {90, 147}, {74, 128}, {66, 137}, {92, 151}, {94,
146}, {79, 130}, {65, 144}, {91, 138}, {80, 129}, {76, 159}, {64, 148}, {92,
136}, {78, 154}, {68, 145}, {94, 139}, {92, 137}, {79, 152}, {96, 183}, {82,
138}, {76, 149}, {90, 131}, {64, 156}, {96, 188}, {65, 157}, {66, 159}, {67,
158}, {70, 153}, {68, 164}, {95, 191}, {93, 189}, {84, 181}, {81, 179}, {91,
185}, {89, 187}, {86, 180}, {67, 160}, {87, 180}, {71, 164}, {76, 175}, {84,
176}, {91, 191}, {88, 188}, {68, 161}, {70, 163}, {78, 171}, {79, 169}, {95,
185}, {82, 180}, {69, 162}, {95, 184}, {93, 186}, {86, 177}, {77, 170}, {78,
169}, {86, 190}, {67, 170}, {89, 176}, {87, 190}, {70, 172}, {74, 160}, {71,
172}, {73, 165}, {96, 140}, {66, 175}, {87, 186}, {72, 165}, {75, 166}, {75,
165}, {85, 187}, {80, 191}, {93, 178}, {84, 187}, {83, 188}, {88, 168}, {71,
182}, {82, 163}, {68, 182}, {69, 177}, {86, 162}, {77, 185}, {83, 166}, {88,
173}, {78, 184}, {95, 169}, {66, 181}, {69, 178}, {69, 189}, {65, 187}, {94,
164}, {85, 175}, {80, 170}, {81, 171}, {85, 174}, {64, 188}, {96, 156}, {67,
191}, {70, 186}, {75, 183}, {81, 172}, {72, 182}, {89, 167}, {83, 173}, {72,
183} }>;
(II) A more general form is to represent the graph as the orbit of {92, 124}
under the group generated by the following permutations:
a: (1, 2)(3, 5)(4, 7)(6, 10)(8, 13)(9, 15)(11, 18)(12, 20)(14, 22)(16, 24)(17,
26)(19, 28)(21, 30)(23, 33)(25, 36)(27, 39)(29, 42)(31, 45)(32, 47)(34, 50)(35,
43)(37, 54)(38, 49)(40, 57)(41, 59)(44, 62)(46, 63)(48, 66)(51, 69)(52, 70)(53,
72)(55, 74)(56, 75)(58, 76)(60, 77)(61, 78)(64, 83)(65, 80)(67, 85)(68, 86)(71,
87)(73, 90)(79, 92)(81, 93)(82, 94)(84, 95)(88, 96)(89, 91)(98, 100)(99,
102)(101, 105)(103, 107)(104, 109)(106, 112)(108, 115)(110, 118)(111, 120)(114,
124)(116, 122)(117, 128)(119, 131)(121, 133)(123, 135)(125, 138)(126, 140)(127,
141)(129, 144)(130, 136)(132, 143)(134, 149)(137, 152)(139, 155)(142, 159)(145,
162)(146, 163)(147, 165)(148, 166)(150, 154)(151, 169)(153, 167)(156, 173)(157,
170)(158, 175)(160, 174)(161, 177)(164, 180)(168, 183)(171, 178)(172, 186)(176,
185)(179, 189)(181, 184)(182, 190)(187, 191) (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: (2, 6)(3, 4)(5, 14)(7, 19)(8, 9)(10, 25)(11, 12)(13, 21)(15, 23)(16, 17)(18,
27)(20, 29)(22, 46)(24, 51)(26, 55)(28, 58)(30, 61)(31, 32)(33, 67)(34, 35)(36,
71)(37, 38)(39, 68)(40, 41)(42, 73)(43, 44)(47, 57)(48, 49)(50, 56)(52, 53)(54,
60)(62, 77)(63, 70)(64, 65)(66, 75)(72, 76)(78, 91)(79, 80)(81, 82)(83, 84)(85,
96)(86, 93)(88, 89)(90, 94)(97, 101)(98, 99)(100, 108)(102, 106)(103, 104)(105,
119)(107, 123)(109, 127)(110, 111)(112, 134)(113, 114)(115, 139)(116, 117)(118,
145)(120, 132)(121, 122)(124, 151)(125, 126)(128, 160)(129, 130)(131, 164)(133,
161)(135, 150)(136, 137)(138, 171)(140, 174)(141, 158)(142, 143)(144, 148)(146,
147)(149, 182)(152, 170)(153, 154)(155, 172)(156, 157)(159, 165)(162, 189)(163,
179)(166, 181)(167, 168)(169, 191)(173, 176)(175, 183)(177, 178)(180, 192)(184,
185)(186, 190)(187, 188)
c: (2, 3)(4, 6)(5, 8)(7, 11)(9, 14)(10, 16)(12, 19)(17, 25)(18, 27)(20, 29)(22,
31)(24, 34)(26, 37)(28, 40)(30, 43)(32, 46)(33, 48)(35, 51)(36, 52)(38, 55)(39,
50)(41, 58)(42, 60)(44, 61)(47, 64)(49, 67)(53, 71)(54, 73)(56, 68)(57, 65)(62,
79)(63, 81)(66, 84)(70, 82)(72, 88)(75, 83)(76, 89)(77, 80)(86, 93)(90, 94)(97,
98)(99, 101)(100, 103)(102, 106)(104, 108)(105, 110)(107, 113)(109, 116)(111,
119)(112, 121)(114, 123)(115, 125)(117, 127)(118, 129)(122, 134)(124, 136)(126,
139)(128, 142)(130, 145)(131, 146)(133, 144)(135, 150)(137, 151)(138, 153)(140,
156)(141, 158)(143, 160)(147, 164)(148, 161)(149, 167)(154, 171)(155, 172)(157,
174)(159, 176)(162, 178)(165, 173)(168, 182)(169, 184)(175, 187)(177, 189)(180,
186)(183, 188)(185, 191)(190, 192)
C4[ 192, 132 ]
192
-1 99 101 97 98
-2 100 102 105 97
-3 110 103 106 98
-4 99 111 102 104
-5 100 112 107 118
-6 101 106 108 119
-7 99 102 109 120
-8 121 113 103 129
-9 122 114 104 130
-10 112 115 105 131
-11 101 116 106 120
-12 132 102 117 97
-13 133 144 113 107
-14 123 134 145 108
-15 124 136 116 109
-16 110 121 146 125
-17 111 122 147 126
-18 111 122 112 105
-19 132 127 106 98
-20 99 143 128 97
-21 123 114 148 161
-22 135 115 149 162
-23 137 127 117 151
-24 133 138 118 163
-25 134 139 119 164
-26 165 116 140 120
-27 110 121 134 119
-28 143 100 112 141
-29 101 160 98 142
-30 166 177 124 135
-31 167 178 125 150
-32 177 135 168 126
-33 169 128 141 152
-34 144 129 163 153
-35 154 179 148 130
-36 155 180 149 131
-37 156 173 109 120
-38 132 176 157 127
-39 133 149 118 131
-40 121 103 158 160
-41 122 104 128 141
-42 100 159 105 174
-43 166 189 136 150
-44 135 137 181 162
-45 154 138 171 153
-46 189 182 139 150
-47 123 161 183 140
-48 158 184 152 142
-49 143 170 141 185
-50 144 167 146 129
-51 145 179 171 161
-52 167 146 172 186
-53 155 168 190 147
-54 111 156 104 173
-55 132 159 117 174
-56 168 147 148 130
-57 133 107 174 175
-58 134 158 108 142
-59 116 127 117 109
-60 110 176 157 103
-61 178 181 150 151
-62 123 145 184 152
-63 154 155 179 190
-64 188 156 114 148
-65 187 144 113 157
-66 137 159 181 175
-67 158 191 170 160
-68 145 182 161 164
-69 177 178 189 162
-70 172 163 153 186
-71 192 182 172 164
-72 165 182 139 183
-73 165 140 108 119
-74 143 160 128 142
-75 165 166 136 183
-76 115 159 149 175
-77 170 107 118 185
-78 154 169 171 184
-79 114 169 130 152
-80 113 191 170 129
-81 179 192 171 172
-82 155 180 138 163
-83 166 188 124 173
-84 176 187 181 151
-85 187 157 174 175
-86 177 190 180 162
-87 190 180 192 186
-88 188 168 126 173
-89 176 187 167 125
-90 147 115 126 131
-91 191 138 185 153
-92 124 136 137 151
-93 178 189 192 186
-94 146 125 139 164
-95 169 191 184 185
-96 188 156 183 140
-97 1 12 2 20
-98 1 3 29 19
-99 1 4 7 20
-100 2 5 28 42
-101 11 1 6 29
-102 12 2 4 7
-103 3 60 40 8
-104 4 41 9 54
-105 2 18 42 10
-106 11 3 6 19
-107 77 13 57 5
-108 14 58 6 73
-109 15 37 59 7
-110 3 16 27 60
-111 4 17 18 54
-112 5 28 18 10
-113 13 80 8 65
-114 79 9 64 21
-115 22 90 10 76
-116 11 15 26 59
-117 55 12 23 59
-118 77 24 5 39
-119 25 27 6 73
-120 11 26 37 7
-121 16 27 40 8
-122 17 18 41 9
-123 14 47 62 21
-124 15 92 83 30
-125 89 16 94 31
-126 88 90 17 32
-127 23 59 38 19
-128 33 41 74 20
-129 34 80 50 8
-130 56 35 79 9
-131 90 36 39 10
-132 55 12 38 19
-133 13 24 57 39
-134 14 25 58 27
-135 22 44 30 32
-136 15 92 75 43
-137 44 66 23 92
-138 45 24 91 82
-139 46 25 72 94
-140 47 26 73 96
-141 33 49 28 41
-142 58 48 29 74
-143 49 28 74 20
-144 34 13 50 65
-145 68 14 51 62
-146 16 50 94 52
-147 56 90 17 53
-148 56 35 64 21
-149 22 36 39 76
-150 46 61 31 43
-151 23 92 61 84
-152 33 79 48 62
-153 34 45 91 70
-154 45 78 35 63
-155 36 82 63 53
-156 37 96 64 54
-157 38 60 85 65
-158 67 58 48 40
-159 55 66 42 76
-160 67 29 40 74
-161 68 47 51 21
-162 22 44 69 86
-163 34 24 70 82
-164 68 25 71 94
-165 26 72 73 75
-166 83 30 75 43
-167 89 50 52 31
-168 88 56 53 32
-169 33 78 79 95
-170 77 67 80 49
-171 45 78 81 51
-172 70 81 71 52
-173 88 37 83 54
-174 55 57 85 42
-175 66 57 85 76
-176 89 38 60 84
-177 69 30 86 32
-178 69 93 61 31
-179 35 81 51 63
-180 36 82 86 87
-181 44 66 61 84
-182 46 68 71 72
-183 47 72 96 75
-184 78 48 62 95
-185 77 91 49 95
-186 70 93 52 87
-187 89 84 85 65
-188 88 83 96 64
-189 46 69 93 43
-190 63 53 86 87
-191 67 80 91 95
-192 81 71 93 87
0