Graph forms
for C4 [ 195, 1 ] = C_195(1,14)
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On this page are computer-accessible forms for the graph C4[ 195, 1 ] =
C_195(1,14).
(I) Following is a form readable by MAGMA:
g:=Graph<195|{ {2, 3}, {194, 195}, {192, 193}, {190, 191}, {188, 189}, {186,
187}, {184, 185}, {182, 183}, {180, 181}, {178, 179}, {176, 177}, {174, 175},
{172, 173}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {92, 93}, {90, 91},
{88, 89}, {86, 87}, {84, 85}, {82, 83}, {80, 81}, {78, 79}, {76, 77}, {74, 75},
{72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59},
{56, 57}, {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}, {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}, {1, 2}, {193, 194}, {189, 190},
{185, 186}, {181, 182}, {177, 178}, {173, 174}, {169, 170}, {165, 166}, {93,
94}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {61,
62}, {57, 58}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29,
30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {97, 98}, {101,
102}, {105, 106}, {109, 110}, {113, 114}, {117, 118}, {121, 122}, {125, 126},
{129, 130}, {133, 134}, {137, 138}, {141, 142}, {145, 146}, {149, 150}, {153,
154}, {157, 158}, {161, 162}, {3, 4}, {187, 188}, {179, 180}, {171, 172}, {163,
164}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {59, 60}, {11, 12}, {19, 20}, {27,
28}, {35, 36}, {43, 44}, {51, 52}, {99, 100}, {107, 108}, {115, 116}, {123,
124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {1, 15}, {177, 191}, {176,
190}, {81, 95}, {80, 94}, {65, 79}, {64, 78}, {16, 30}, {17, 31}, {32, 46}, {33,
47}, {48, 62}, {49, 63}, {96, 110}, {97, 111}, {112, 126}, {113, 127}, {128,
142}, {129, 143}, {144, 158}, {145, 159}, {160, 174}, {161, 175}, {7, 8}, {183,
184}, {167, 168}, {87, 88}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {103, 104},
{119, 120}, {135, 136}, {151, 152}, {2, 16}, {175, 189}, {174, 188}, {171, 185},
{170, 184}, {167, 181}, {166, 180}, {163, 177}, {162, 176}, {79, 93}, {78, 92},
{75, 89}, {74, 88}, {71, 85}, {70, 84}, {67, 81}, {66, 80}, {3, 17}, {6, 20},
{7, 21}, {10, 24}, {11, 25}, {14, 28}, {15, 29}, {34, 48}, {35, 49}, {38, 52},
{39, 53}, {42, 56}, {43, 57}, {46, 60}, {47, 61}, {98, 112}, {99, 113}, {102,
116}, {103, 117}, {106, 120}, {107, 121}, {110, 124}, {111, 125}, {130, 144},
{131, 145}, {134, 148}, {135, 149}, {138, 152}, {139, 153}, {142, 156}, {143,
157}, {4, 18}, {173, 187}, {172, 186}, {165, 179}, {164, 178}, {77, 91}, {76,
90}, {69, 83}, {68, 82}, {5, 19}, {12, 26}, {13, 27}, {36, 50}, {37, 51}, {44,
58}, {45, 59}, {100, 114}, {101, 115}, {108, 122}, {109, 123}, {132, 146}, {133,
147}, {140, 154}, {141, 155}, {8, 22}, {169, 183}, {168, 182}, {73, 87}, {72,
86}, {9, 23}, {40, 54}, {41, 55}, {104, 118}, {105, 119}, {136, 150}, {137,
151}, {15, 16}, {175, 176}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {18,
32}, {91, 105}, {90, 104}, {87, 101}, {86, 100}, {83, 97}, {82, 96}, {19, 33},
{22, 36}, {23, 37}, {26, 40}, {27, 41}, {30, 44}, {31, 45}, {94, 108}, {95,
109}, {146, 160}, {147, 161}, {150, 164}, {151, 165}, {154, 168}, {155, 169},
{158, 172}, {159, 173}, {20, 34}, {93, 107}, {92, 106}, {85, 99}, {84, 98}, {21,
35}, {28, 42}, {29, 43}, {148, 162}, {149, 163}, {156, 170}, {157, 171}, {24,
38}, {89, 103}, {88, 102}, {25, 39}, {152, 166}, {153, 167}, {31, 32}, {95, 96},
{159, 160}, {50, 64}, {179, 193}, {178, 192}, {63, 77}, {62, 76}, {59, 73}, {58,
72}, {55, 69}, {54, 68}, {51, 65}, {52, 66}, {181, 195}, {180, 194}, {61, 75},
{60, 74}, {53, 67}, {56, 70}, {57, 71}, {63, 64}, {191, 192}, {2, 183}, {8,
189}, {10, 191}, {1, 182}, {9, 190}, {3, 184}, {7, 188}, {4, 185}, {6, 187}, {5,
186}, {1, 195}, {11, 192}, {12, 193}, {14, 195}, {13, 194}, {114, 128}, {115,
129}, {118, 132}, {119, 133}, {122, 136}, {123, 137}, {126, 140}, {127, 141},
{116, 130}, {117, 131}, {124, 138}, {125, 139}, {120, 134}, {121, 135}, {127,
128} }>;
(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: (2, 182)(3, 168)(4, 154)(5, 140)(6, 126)(7, 112)(8, 98)(9, 84)(10, 70)(11,
56)(12, 42)(13, 28)(15, 195)(16, 181)(17, 167)(18, 153)(19, 139)(20, 125)(21,
111)(22, 97)(23, 83)(24, 69)(25, 55)(26, 41)(29, 194)(30, 180)(31, 166)(32,
152)(33, 138)(34, 124)(35, 110)(36, 96)(37, 82)(38, 68)(39, 54)(43, 193)(44,
179)(45, 165)(46, 151)(47, 137)(48, 123)(49, 109)(50, 95)(51, 81)(52, 67)(57,
192)(58, 178)(59, 164)(60, 150)(61, 136)(62, 122)(63, 108)(64, 94)(65, 80)(71,
191)(72, 177)(73, 163)(74, 149)(75, 135)(76, 121)(77, 107)(78, 93)(85, 190)(86,
176)(87, 162)(88, 148)(89, 134)(90, 120)(91, 106)(99, 189)(100, 175)(101,
161)(102, 147)(103, 133)(104, 119)(113, 188)(114, 174)(115, 160)(116, 146)(117,
132)(127, 187)(128, 173)(129, 159)(130, 145)(141, 186)(142, 172)(143, 158)(155,
185)(156, 171)(169, 184) (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, 15)(3, 29)(4, 43)(5, 57)(6, 71)(7, 85)(8, 99)(9, 113)(10, 127)(11,
141)(12, 155)(13, 169)(14, 183)(17, 30)(18, 44)(19, 58)(20, 72)(21, 86)(22,
100)(23, 114)(24, 128)(25, 142)(26, 156)(27, 170)(28, 184)(32, 45)(33, 59)(34,
73)(35, 87)(36, 101)(37, 115)(38, 129)(39, 143)(40, 157)(41, 171)(42, 185)(47,
60)(48, 74)(49, 88)(50, 102)(51, 116)(52, 130)(53, 144)(54, 158)(55, 172)(56,
186)(62, 75)(63, 89)(64, 103)(65, 117)(66, 131)(67, 145)(68, 159)(69, 173)(70,
187)(77, 90)(78, 104)(79, 118)(80, 132)(81, 146)(82, 160)(83, 174)(84, 188)(92,
105)(93, 119)(94, 133)(95, 147)(96, 161)(97, 175)(98, 189)(107, 120)(108,
134)(109, 148)(110, 162)(111, 176)(112, 190)(122, 135)(123, 149)(124, 163)(125,
177)(126, 191)(137, 150)(138, 164)(139, 178)(140, 192)(152, 165)(153, 179)(154,
193)(167, 180)(168, 194)(182, 195)
c: (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)
C4[ 195, 1 ]
195
-1 2 15 182 195
-2 1 3 16 183
-3 2 4 17 184
-4 3 5 18 185
-5 4 6 19 186
-6 187 5 7 20
-7 188 6 8 21
-8 22 189 7 9
-9 23 190 8 10
-10 11 24 191 9
-11 12 25 192 10
-12 11 13 26 193
-13 12 14 27 194
-14 13 15 28 195
-15 1 14 16 29
-16 2 15 17 30
-17 3 16 18 31
-18 4 17 19 32
-19 33 5 18 20
-20 34 6 19 21
-21 22 35 7 20
-22 23 36 8 21
-23 22 24 37 9
-24 23 25 38 10
-25 11 24 26 39
-26 12 25 27 40
-27 13 26 28 41
-28 14 27 29 42
-29 15 28 30 43
-30 44 16 29 31
-31 45 17 30 32
-32 33 46 18 31
-33 34 47 19 32
-34 33 35 48 20
-35 34 36 49 21
-36 22 35 37 50
-37 23 36 38 51
-38 24 37 39 52
-39 25 38 40 53
-40 26 39 41 54
-41 55 27 40 42
-42 56 28 41 43
-43 44 57 29 42
-44 45 58 30 43
-45 44 46 59 31
-46 45 47 60 32
-47 33 46 48 61
-48 34 47 49 62
-49 35 48 50 63
-50 36 49 51 64
-51 37 50 52 65
-52 66 38 51 53
-53 67 39 52 54
-54 55 68 40 53
-55 56 69 41 54
-56 55 57 70 42
-57 56 58 71 43
-58 44 57 59 72
-59 45 58 60 73
-60 46 59 61 74
-61 47 60 62 75
-62 48 61 63 76
-63 77 49 62 64
-64 78 50 63 65
-65 66 79 51 64
-66 67 80 52 65
-67 66 68 81 53
-68 67 69 82 54
-69 55 68 70 83
-70 56 69 71 84
-71 57 70 72 85
-72 58 71 73 86
-73 59 72 74 87
-74 88 60 73 75
-75 89 61 74 76
-76 77 90 62 75
-77 78 91 63 76
-78 77 79 92 64
-79 78 80 93 65
-80 66 79 81 94
-81 67 80 82 95
-82 68 81 83 96
-83 69 82 84 97
-84 70 83 85 98
-85 99 71 84 86
-86 100 72 85 87
-87 88 101 73 86
-88 89 102 74 87
-89 88 90 103 75
-90 89 91 104 76
-91 77 90 92 105
-92 78 91 93 106
-93 79 92 94 107
-94 80 93 95 108
-95 81 94 96 109
-96 110 82 95 97
-97 111 83 96 98
-98 99 112 84 97
-99 100 113 85 98
-100 99 101 114 86
-101 100 102 115 87
-102 88 101 103 116
-103 89 102 104 117
-104 90 103 105 118
-105 91 104 106 119
-106 92 105 107 120
-107 121 93 106 108
-108 122 94 107 109
-109 110 123 95 108
-110 111 124 96 109
-111 110 112 125 97
-112 111 113 126 98
-113 99 112 114 127
-114 100 113 115 128
-115 101 114 116 129
-116 102 115 117 130
-117 103 116 118 131
-118 132 104 117 119
-119 133 105 118 120
-120 121 134 106 119
-121 122 135 107 120
-122 121 123 136 108
-123 122 124 137 109
-124 110 123 125 138
-125 111 124 126 139
-126 112 125 127 140
-127 113 126 128 141
-128 114 127 129 142
-129 143 115 128 130
-130 144 116 129 131
-131 132 145 117 130
-132 133 146 118 131
-133 132 134 147 119
-134 133 135 148 120
-135 121 134 136 149
-136 122 135 137 150
-137 123 136 138 151
-138 124 137 139 152
-139 125 138 140 153
-140 154 126 139 141
-141 155 127 140 142
-142 143 156 128 141
-143 144 157 129 142
-144 143 145 158 130
-145 144 146 159 131
-146 132 145 147 160
-147 133 146 148 161
-148 134 147 149 162
-149 135 148 150 163
-150 136 149 151 164
-151 165 137 150 152
-152 166 138 151 153
-153 154 167 139 152
-154 155 168 140 153
-155 154 156 169 141
-156 155 157 170 142
-157 143 156 158 171
-158 144 157 159 172
-159 145 158 160 173
-160 146 159 161 174
-161 147 160 162 175
-162 176 148 161 163
-163 177 149 162 164
-164 165 178 150 163
-165 166 179 151 164
-166 165 167 180 152
-167 166 168 181 153
-168 154 167 169 182
-169 155 168 170 183
-170 156 169 171 184
-171 157 170 172 185
-172 158 171 173 186
-173 187 159 172 174
-174 188 160 173 175
-175 176 189 161 174
-176 177 190 162 175
-177 176 178 191 163
-178 177 179 192 164
-179 165 178 180 193
-180 166 179 181 194
-181 167 180 182 195
-182 1 168 181 183
-183 2 169 182 184
-184 3 170 183 185
-185 4 171 184 186
-186 187 5 172 185
-187 188 6 173 186
-188 187 189 7 174
-189 188 190 8 175
-190 176 189 191 9
-191 177 190 192 10
-192 11 178 191 193
-193 12 179 192 194
-194 13 180 193 195
-195 1 14 181 194
0