Graph forms
for C4 [ 197, 1 ] = C_197(1,14)
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On this page are computer-accessible forms for the graph C4[ 197, 1 ] =
C_197(1,14).
(I) Following is a form readable by MAGMA:
g:=Graph<197|{ {2, 3}, {196, 197}, {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}, {162,
163}, {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}, {54, 55}, {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}, {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}, {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}, {195, 196}, {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}, {92, 106}, {85, 99},
{84, 98}, {21, 35}, {28, 42}, {29, 43}, {93, 107}, {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}, {183, 197}, {182, 196}, {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}, {8, 191}, {1, 184}, {3, 186}, {5, 188}, {7,
190}, {2, 185}, {6, 189}, {4, 187}, {1, 197}, {9, 192}, {11, 194}, {13, 196},
{10, 193}, {14, 197}, {12, 195}, {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, 184, 197, 15)(3, 170, 196, 29)(4, 156, 195, 43)(5, 142, 194, 57)(6, 128,
193, 71)(7, 114, 192, 85)(8, 100, 191, 99)(9, 86, 190, 113)(10, 72, 189,
127)(11, 58, 188, 141)(12, 44, 187, 155)(13, 30, 186, 169)(14, 16, 185, 183)(17,
171, 182, 28)(18, 157, 181, 42)(19, 143, 180, 56)(20, 129, 179, 70)(21, 115,
178, 84)(22, 101, 177, 98)(23, 87, 176, 112)(24, 73, 175, 126)(25, 59, 174,
140)(26, 45, 173, 154)(27, 31, 172, 168)(32, 158, 167, 41)(33, 144, 166, 55)(34,
130, 165, 69)(35, 116, 164, 83)(36, 102, 163, 97)(37, 88, 162, 111)(38, 74, 161,
125)(39, 60, 160, 139)(40, 46, 159, 153)(47, 145, 152, 54)(48, 131, 151, 68)(49,
117, 150, 82)(50, 103, 149, 96)(51, 89, 148, 110)(52, 75, 147, 124)(53, 61, 146,
138)(62, 132, 137, 67)(63, 118, 136, 81)(64, 104, 135, 95)(65, 90, 134, 109)(66,
76, 133, 123)(77, 119, 122, 80)(78, 105, 121, 94)(79, 91, 120, 108)(92, 106,
107, 93) (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)
C4[ 197, 1 ]
197
-1 2 15 184 197
-2 1 3 16 185
-3 2 4 17 186
-4 187 3 5 18
-5 188 4 6 19
-6 189 5 7 20
-7 190 6 8 21
-8 22 191 7 9
-9 23 192 8 10
-10 11 24 193 9
-11 12 25 194 10
-12 11 13 26 195
-13 12 14 27 196
-14 13 15 28 197
-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
-182 168 181 183 196
-183 169 182 184 197
-184 1 170 183 185
-185 2 171 184 186
-186 187 3 172 185
-187 188 4 173 186
-188 187 189 5 174
-189 188 190 6 175
-190 176 189 191 7
-191 177 190 192 8
-192 178 191 193 9
-193 179 192 194 10
-194 11 180 193 195
-195 12 181 194 196
-196 13 182 195 197
-197 1 14 183 196
0