Graph forms
for C4 [ 200, 2 ] = C_200(1,49)
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On this page are computer-accessible forms for the graph C4[ 200, 2 ] =
C_200(1,49).
(I) Following is a form readable by MAGMA:
g:=Graph<200|{ {2, 3}, {198, 199}, {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}, {160, 161}, {158, 159}, {156, 157}, {154, 155}, {152, 153},
{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}, {52, 53},
{50, 51}, {48, 49}, {46, 47}, {44, 45}, {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}, {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}, {1, 2},
{197, 198}, {193, 194}, {189, 190}, {185, 186}, {181, 182}, {177, 178}, {173,
174}, {169, 170}, {165, 166}, {161, 162}, {157, 158}, {153, 154}, {81, 82}, {77,
78}, {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}, {85, 86}, {89, 90}, {93, 94}, {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}, {3, 4}, {195,
196}, {187, 188}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {75, 76}, {67,
68}, {59, 60}, {51, 52}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {83,
84}, {91, 92}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139,
140}, {147, 148}, {7, 8}, {199, 200}, {183, 184}, {167, 168}, {71, 72}, {55,
56}, {23, 24}, {39, 40}, {87, 88}, {103, 104}, {119, 120}, {135, 136}, {151,
152}, {15, 16}, {175, 176}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {2, 51},
{78, 127}, {76, 125}, {74, 123}, {72, 121}, {70, 119}, {68, 117}, {66, 115},
{64, 113}, {4, 53}, {6, 55}, {8, 57}, {10, 59}, {12, 61}, {14, 63}, {128, 177},
{130, 179}, {132, 181}, {134, 183}, {136, 185}, {138, 187}, {140, 189}, {142,
191}, {1, 50}, {77, 126}, {73, 122}, {69, 118}, {65, 114}, {5, 54}, {9, 58},
{13, 62}, {129, 178}, {133, 182}, {137, 186}, {141, 190}, {3, 52}, {75, 124},
{67, 116}, {11, 60}, {131, 180}, {139, 188}, {7, 56}, {159, 160}, {71, 120},
{31, 32}, {95, 96}, {135, 184}, {15, 64}, {63, 112}, {47, 96}, {31, 80}, {143,
192}, {16, 65}, {62, 111}, {60, 109}, {58, 107}, {56, 105}, {54, 103}, {52,
101}, {50, 99}, {48, 97}, {18, 67}, {20, 69}, {22, 71}, {24, 73}, {26, 75}, {28,
77}, {30, 79}, {144, 193}, {146, 195}, {148, 197}, {150, 199}, {17, 66}, {61,
110}, {57, 106}, {53, 102}, {49, 98}, {21, 70}, {25, 74}, {29, 78}, {145, 194},
{149, 198}, {19, 68}, {59, 108}, {51, 100}, {27, 76}, {147, 196}, {23, 72},
{151, 200}, {55, 104}, {32, 81}, {46, 95}, {44, 93}, {34, 83}, {36, 85}, {38,
87}, {40, 89}, {42, 91}, {33, 82}, {45, 94}, {37, 86}, {41, 90}, {35, 84}, {43,
92}, {39, 88}, {191, 192}, {63, 64}, {8, 159}, {32, 183}, {40, 191}, {1, 152},
{3, 154}, {5, 156}, {7, 158}, {33, 184}, {35, 186}, {37, 188}, {39, 190}, {2,
153}, {6, 157}, {34, 185}, {38, 189}, {4, 155}, {36, 187}, {9, 160}, {11, 162},
{13, 164}, {15, 166}, {25, 176}, {27, 178}, {29, 180}, {31, 182}, {10, 161},
{14, 165}, {26, 177}, {30, 181}, {12, 163}, {28, 179}, {16, 167}, {24, 175},
{17, 168}, {19, 170}, {21, 172}, {23, 174}, {18, 169}, {22, 173}, {20, 171}, {1,
200}, {79, 128}, {95, 144}, {111, 160}, {127, 176}, {80, 129}, {82, 131}, {84,
133}, {86, 135}, {88, 137}, {90, 139}, {92, 141}, {94, 143}, {112, 161}, {114,
163}, {116, 165}, {118, 167}, {120, 169}, {122, 171}, {124, 173}, {126, 175},
{81, 130}, {85, 134}, {89, 138}, {93, 142}, {113, 162}, {117, 166}, {121, 170},
{125, 174}, {83, 132}, {91, 140}, {115, 164}, {123, 172}, {87, 136}, {119, 168},
{41, 192}, {47, 198}, {45, 196}, {43, 194}, {42, 193}, {46, 197}, {44, 195},
{96, 145}, {98, 147}, {100, 149}, {102, 151}, {104, 153}, {106, 155}, {108,
157}, {110, 159}, {97, 146}, {101, 150}, {105, 154}, {109, 158}, {48, 199}, {99,
148}, {107, 156}, {49, 200}, {103, 152}, {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: (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) (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, 152)(3, 103)(4, 54)(6, 156)(7, 107)(8, 58)(10, 160)(11, 111)(12, 62)(14,
164)(15, 115)(16, 66)(18, 168)(19, 119)(20, 70)(22, 172)(23, 123)(24, 74)(26,
176)(27, 127)(28, 78)(30, 180)(31, 131)(32, 82)(34, 184)(35, 135)(36, 86)(38,
188)(39, 139)(40, 90)(42, 192)(43, 143)(44, 94)(46, 196)(47, 147)(48, 98)(50,
200)(51, 151)(52, 102)(55, 155)(56, 106)(59, 159)(60, 110)(63, 163)(64, 114)(67,
167)(68, 118)(71, 171)(72, 122)(75, 175)(76, 126)(79, 179)(80, 130)(83, 183)(84,
134)(87, 187)(88, 138)(91, 191)(92, 142)(95, 195)(96, 146)(99, 199)(100,
150)(104, 154)(108, 158)(112, 162)(116, 166)(120, 170)(124, 174)(128, 178)(132,
182)(136, 186)(140, 190)(144, 194)(148, 198)
c: (2, 50)(3, 99)(4, 148)(5, 197)(6, 46)(7, 95)(8, 144)(9, 193)(10, 42)(11,
91)(12, 140)(13, 189)(14, 38)(15, 87)(16, 136)(17, 185)(18, 34)(19, 83)(20,
132)(21, 181)(22, 30)(23, 79)(24, 128)(25, 177)(27, 75)(28, 124)(29, 173)(31,
71)(32, 120)(33, 169)(35, 67)(36, 116)(37, 165)(39, 63)(40, 112)(41, 161)(43,
59)(44, 108)(45, 157)(47, 55)(48, 104)(49, 153)(52, 100)(53, 149)(54, 198)(56,
96)(57, 145)(58, 194)(60, 92)(61, 141)(62, 190)(64, 88)(65, 137)(66, 186)(68,
84)(69, 133)(70, 182)(72, 80)(73, 129)(74, 178)(77, 125)(78, 174)(81, 121)(82,
170)(85, 117)(86, 166)(89, 113)(90, 162)(93, 109)(94, 158)(97, 105)(98,
154)(102, 150)(103, 199)(106, 146)(107, 195)(110, 142)(111, 191)(114, 138)(115,
187)(118, 134)(119, 183)(122, 130)(123, 179)(127, 175)(131, 171)(135, 167)(139,
163)(143, 159)(147, 155)(152, 200)(156, 196)(160, 192)(164, 188)(168, 184)(172,
180)
C4[ 200, 2 ]
200
-1 2 200 50 152
-2 1 3 51 153
-3 154 2 4 52
-4 155 3 5 53
-5 156 4 6 54
-6 55 157 5 7
-7 56 158 6 8
-8 57 159 7 9
-9 58 160 8 10
-10 11 59 161 9
-11 12 60 162 10
-12 11 13 61 163
-13 12 14 62 164
-14 165 13 15 63
-15 166 14 16 64
-16 167 15 17 65
-17 66 168 16 18
-18 67 169 17 19
-19 68 170 18 20
-20 69 171 19 21
-21 22 70 172 20
-22 23 71 173 21
-23 22 24 72 174
-24 23 25 73 175
-25 176 24 26 74
-26 177 25 27 75
-27 178 26 28 76
-28 77 179 27 29
-29 78 180 28 30
-30 79 181 29 31
-31 80 182 30 32
-32 33 81 183 31
-33 34 82 184 32
-34 33 35 83 185
-35 34 36 84 186
-36 187 35 37 85
-37 188 36 38 86
-38 189 37 39 87
-39 88 190 38 40
-40 89 191 39 41
-41 90 192 40 42
-42 91 193 41 43
-43 44 92 194 42
-44 45 93 195 43
-45 44 46 94 196
-46 45 47 95 197
-47 198 46 48 96
-48 199 47 49 97
-49 200 48 50 98
-50 99 1 49 51
-51 100 2 50 52
-52 101 3 51 53
-53 102 4 52 54
-54 55 103 5 53
-55 56 104 6 54
-56 55 57 105 7
-57 56 58 106 8
-58 57 59 107 9
-59 58 60 108 10
-60 11 59 61 109
-61 110 12 60 62
-62 111 13 61 63
-63 112 14 62 64
-64 113 15 63 65
-65 66 114 16 64
-66 67 115 17 65
-67 66 68 116 18
-68 67 69 117 19
-69 68 70 118 20
-70 69 71 119 21
-71 22 70 72 120
-72 121 23 71 73
-73 122 24 72 74
-74 123 25 73 75
-75 124 26 74 76
-76 77 125 27 75
-77 78 126 28 76
-78 77 79 127 29
-79 78 80 128 30
-80 79 81 129 31
-81 80 82 130 32
-82 33 81 83 131
-83 132 34 82 84
-84 133 35 83 85
-85 134 36 84 86
-86 135 37 85 87
-87 88 136 38 86
-88 89 137 39 87
-89 88 90 138 40
-90 89 91 139 41
-91 90 92 140 42
-92 91 93 141 43
-93 44 92 94 142
-94 143 45 93 95
-95 144 46 94 96
-96 145 47 95 97
-97 146 48 96 98
-98 99 147 49 97
-99 100 148 50 98
-100 99 101 149 51
-101 100 102 150 52
-102 101 103 151 53
-103 102 104 152 54
-104 55 103 105 153
-105 154 56 104 106
-106 155 57 105 107
-107 156 58 106 108
-108 157 59 107 109
-109 110 158 60 108
-110 111 159 61 109
-111 110 112 160 62
-112 111 113 161 63
-113 112 114 162 64
-114 113 115 163 65
-115 66 114 116 164
-116 165 67 115 117
-117 166 68 116 118
-118 167 69 117 119
-119 168 70 118 120
-120 121 169 71 119
-121 122 170 72 120
-122 121 123 171 73
-123 122 124 172 74
-124 123 125 173 75
-125 124 126 174 76
-126 77 125 127 175
-127 176 78 126 128
-128 177 79 127 129
-129 178 80 128 130
-130 179 81 129 131
-131 132 180 82 130
-132 133 181 83 131
-133 132 134 182 84
-134 133 135 183 85
-135 134 136 184 86
-136 135 137 185 87
-137 88 136 138 186
-138 187 89 137 139
-139 188 90 138 140
-140 189 91 139 141
-141 190 92 140 142
-142 143 191 93 141
-143 144 192 94 142
-144 143 145 193 95
-145 144 146 194 96
-146 145 147 195 97
-147 146 148 196 98
-148 99 147 149 197
-149 198 100 148 150
-150 199 101 149 151
-151 200 102 150 152
-152 1 103 151 153
-153 154 2 104 152
-154 155 3 105 153
-155 154 156 4 106
-156 155 157 5 107
-157 156 158 6 108
-158 157 159 7 109
-159 110 158 160 8
-160 111 159 161 9
-161 112 160 162 10
-162 11 113 161 163
-163 12 114 162 164
-164 165 13 115 163
-165 166 14 116 164
-166 165 167 15 117
-167 166 168 16 118
-168 167 169 17 119
-169 168 170 18 120
-170 121 169 171 19
-171 122 170 172 20
-172 123 171 173 21
-173 22 124 172 174
-174 23 125 173 175
-175 176 24 126 174
-176 177 25 127 175
-177 176 178 26 128
-178 177 179 27 129
-179 178 180 28 130
-180 179 181 29 131
-181 132 180 182 30
-182 133 181 183 31
-183 134 182 184 32
-184 33 135 183 185
-185 34 136 184 186
-186 187 35 137 185
-187 188 36 138 186
-188 187 189 37 139
-189 188 190 38 140
-190 189 191 39 141
-191 190 192 40 142
-192 143 191 193 41
-193 144 192 194 42
-194 145 193 195 43
-195 44 146 194 196
-196 45 147 195 197
-197 198 46 148 196
-198 199 47 149 197
-199 198 200 48 150
-200 1 199 49 151
0