Graph forms
for C4 [ 192, 2 ] = C_192(1,31)
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On this page are computer-accessible forms for the graph C4[ 192, 2 ] =
C_192(1,31).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {2, 3}, {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}, {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}, {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}, {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}, {1, 2}, {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},
{187, 188}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {83, 84}, {75, 76},
{67, 68}, {59, 60}, {51, 52}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44},
{91, 92}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140},
{147, 148}, {7, 8}, {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}, {160, 191}, {79, 80}, {64, 95}, {47, 48}, {32, 63}, {96, 127}, {111, 112},
{128, 159}, {143, 144}, {1, 32}, {159, 190}, {157, 188}, {155, 186}, {153, 184},
{81, 112}, {79, 110}, {77, 108}, {75, 106}, {73, 104}, {71, 102}, {69, 100},
{67, 98}, {65, 96}, {3, 34}, {5, 36}, {7, 38}, {9, 40}, {11, 42}, {13, 44}, {15,
46}, {17, 48}, {19, 50}, {21, 52}, {23, 54}, {25, 56}, {27, 58}, {29, 60}, {31,
62}, {83, 114}, {85, 116}, {87, 118}, {89, 120}, {91, 122}, {93, 124}, {95,
126}, {129, 160}, {131, 162}, {133, 164}, {135, 166}, {137, 168}, {139, 170},
{141, 172}, {143, 174}, {145, 176}, {147, 178}, {149, 180}, {151, 182}, {2, 33},
{158, 189}, {154, 185}, {82, 113}, {78, 109}, {74, 105}, {70, 101}, {66, 97},
{6, 37}, {10, 41}, {14, 45}, {18, 49}, {22, 53}, {26, 57}, {30, 61}, {86, 117},
{90, 121}, {94, 125}, {130, 161}, {134, 165}, {138, 169}, {142, 173}, {146,
177}, {150, 181}, {4, 35}, {156, 187}, {76, 107}, {68, 99}, {12, 43}, {20, 51},
{28, 59}, {84, 115}, {92, 123}, {132, 163}, {140, 171}, {148, 179}, {8, 39},
{152, 183}, {72, 103}, {24, 55}, {88, 119}, {136, 167}, {16, 47}, {159, 160},
{80, 111}, {31, 32}, {95, 96}, {144, 175}, {33, 64}, {161, 192}, {63, 94}, {61,
92}, {59, 90}, {57, 88}, {55, 86}, {53, 84}, {51, 82}, {49, 80}, {47, 78}, {45,
76}, {35, 66}, {37, 68}, {39, 70}, {41, 72}, {43, 74}, {34, 65}, {62, 93}, {58,
89}, {54, 85}, {50, 81}, {46, 77}, {38, 69}, {42, 73}, {36, 67}, {60, 91}, {52,
83}, {44, 75}, {40, 71}, {56, 87}, {48, 79}, {191, 192}, {63, 64}, {2, 163}, {4,
165}, {6, 167}, {8, 169}, {10, 171}, {12, 173}, {14, 175}, {16, 177}, {18, 179},
{20, 181}, {22, 183}, {24, 185}, {26, 187}, {28, 189}, {30, 191}, {1, 162}, {5,
166}, {9, 170}, {13, 174}, {17, 178}, {21, 182}, {25, 186}, {29, 190}, {3, 164},
{11, 172}, {19, 180}, {27, 188}, {7, 168}, {23, 184}, {15, 176}, {1, 192}, {31,
192}, {97, 128}, {99, 130}, {101, 132}, {103, 134}, {105, 136}, {107, 138},
{109, 140}, {111, 142}, {113, 144}, {115, 146}, {117, 148}, {119, 150}, {121,
152}, {123, 154}, {125, 156}, {127, 158}, {98, 129}, {102, 133}, {106, 137},
{110, 141}, {114, 145}, {118, 149}, {122, 153}, {126, 157}, {100, 131}, {108,
139}, {116, 147}, {124, 155}, {104, 135}, {120, 151}, {112, 143}, {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, 162)(3, 131)(4, 100)(5, 69)(6, 38)(8, 168)(9, 137)(10, 106)(11, 75)(12,
44)(14, 174)(15, 143)(16, 112)(17, 81)(18, 50)(20, 180)(21, 149)(22, 118)(23,
87)(24, 56)(26, 186)(27, 155)(28, 124)(29, 93)(30, 62)(32, 192)(33, 161)(34,
130)(35, 99)(36, 68)(39, 167)(40, 136)(41, 105)(42, 74)(45, 173)(46, 142)(47,
111)(48, 80)(51, 179)(52, 148)(53, 117)(54, 86)(57, 185)(58, 154)(59, 123)(60,
92)(63, 191)(64, 160)(65, 129)(66, 98)(70, 166)(71, 135)(72, 104)(76, 172)(77,
141)(78, 110)(82, 178)(83, 147)(84, 116)(88, 184)(89, 153)(90, 122)(94, 190)(95,
159)(96, 128)(101, 165)(102, 134)(107, 171)(108, 140)(113, 177)(114, 146)(119,
183)(120, 152)(125, 189)(126, 158)(132, 164)(138, 170)(144, 176)(150, 182)(156,
188) (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, 32)(3, 63)(4, 94)(5, 125)(6, 156)(7, 187)(8, 26)(9, 57)(10, 88)(11,
119)(12, 150)(13, 181)(14, 20)(15, 51)(16, 82)(17, 113)(18, 144)(19, 175)(21,
45)(22, 76)(23, 107)(24, 138)(25, 169)(27, 39)(28, 70)(29, 101)(30, 132)(31,
163)(34, 64)(35, 95)(36, 126)(37, 157)(38, 188)(40, 58)(41, 89)(42, 120)(43,
151)(44, 182)(46, 52)(47, 83)(48, 114)(49, 145)(50, 176)(53, 77)(54, 108)(55,
139)(56, 170)(59, 71)(60, 102)(61, 133)(62, 164)(66, 96)(67, 127)(68, 158)(69,
189)(72, 90)(73, 121)(74, 152)(75, 183)(78, 84)(79, 115)(80, 146)(81, 177)(85,
109)(86, 140)(87, 171)(91, 103)(92, 134)(93, 165)(98, 128)(99, 159)(100,
190)(104, 122)(105, 153)(106, 184)(110, 116)(111, 147)(112, 178)(117, 141)(118,
172)(123, 135)(124, 166)(130, 160)(131, 191)(136, 154)(137, 185)(142, 148)(143,
179)(149, 173)(155, 167)(162, 192)(168, 186)(174, 180)
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)
C4[ 192, 2 ]
192
-1 2 192 162 32
-2 33 1 3 163
-3 34 2 4 164
-4 165 35 3 5
-5 166 36 4 6
-6 167 37 5 7
-7 168 38 6 8
-8 169 39 7 9
-9 170 40 8 10
-10 11 171 41 9
-11 12 172 42 10
-12 11 13 173 43
-13 44 12 14 174
-14 45 13 15 175
-15 176 46 14 16
-16 177 47 15 17
-17 178 48 16 18
-18 179 49 17 19
-19 180 50 18 20
-20 181 51 19 21
-21 22 182 52 20
-22 23 183 53 21
-23 22 24 184 54
-24 55 23 25 185
-25 56 24 26 186
-26 187 57 25 27
-27 188 58 26 28
-28 189 59 27 29
-29 190 60 28 30
-30 191 61 29 31
-31 192 62 30 32
-32 33 1 63 31
-33 34 2 64 32
-34 33 35 3 65
-35 66 34 36 4
-36 67 35 37 5
-37 68 36 38 6
-38 69 37 39 7
-39 70 38 40 8
-40 71 39 41 9
-41 72 40 42 10
-42 11 73 41 43
-43 44 12 74 42
-44 45 13 75 43
-45 44 46 14 76
-46 77 45 47 15
-47 78 46 48 16
-48 79 47 49 17
-49 80 48 50 18
-50 81 49 51 19
-51 82 50 52 20
-52 83 51 53 21
-53 22 84 52 54
-54 55 23 85 53
-55 56 24 86 54
-56 55 57 25 87
-57 88 56 58 26
-58 89 57 59 27
-59 90 58 60 28
-60 91 59 61 29
-61 92 60 62 30
-62 93 61 63 31
-63 94 62 64 32
-64 33 95 63 65
-65 66 34 96 64
-66 67 35 97 65
-67 66 68 36 98
-68 99 67 69 37
-69 100 68 70 38
-70 101 69 71 39
-71 102 70 72 40
-72 103 71 73 41
-73 104 72 74 42
-74 105 73 75 43
-75 44 106 74 76
-76 77 45 107 75
-77 78 46 108 76
-78 77 79 47 109
-79 110 78 80 48
-80 111 79 81 49
-81 112 80 82 50
-82 113 81 83 51
-83 114 82 84 52
-84 115 83 85 53
-85 116 84 86 54
-86 55 117 85 87
-87 88 56 118 86
-88 89 57 119 87
-89 88 90 58 120
-90 121 89 91 59
-91 122 90 92 60
-92 123 91 93 61
-93 124 92 94 62
-94 125 93 95 63
-95 126 94 96 64
-96 127 95 97 65
-97 66 128 96 98
-98 99 67 129 97
-99 100 68 130 98
-100 99 101 69 131
-101 132 100 102 70
-102 133 101 103 71
-103 134 102 104 72
-104 135 103 105 73
-105 136 104 106 74
-106 137 105 107 75
-107 138 106 108 76
-108 77 139 107 109
-109 110 78 140 108
-110 111 79 141 109
-111 110 112 80 142
-112 143 111 113 81
-113 144 112 114 82
-114 145 113 115 83
-115 146 114 116 84
-116 147 115 117 85
-117 148 116 118 86
-118 149 117 119 87
-119 88 150 118 120
-120 121 89 151 119
-121 122 90 152 120
-122 121 123 91 153
-123 154 122 124 92
-124 155 123 125 93
-125 156 124 126 94
-126 157 125 127 95
-127 158 126 128 96
-128 159 127 129 97
-129 160 128 130 98
-130 99 161 129 131
-131 132 100 162 130
-132 133 101 163 131
-133 132 134 102 164
-134 165 133 135 103
-135 166 134 136 104
-136 167 135 137 105
-137 168 136 138 106
-138 169 137 139 107
-139 170 138 140 108
-140 171 139 141 109
-141 110 172 140 142
-142 143 111 173 141
-143 144 112 174 142
-144 143 145 113 175
-145 176 144 146 114
-146 177 145 147 115
-147 178 146 148 116
-148 179 147 149 117
-149 180 148 150 118
-150 181 149 151 119
-151 182 150 152 120
-152 121 183 151 153
-153 154 122 184 152
-154 155 123 185 153
-155 154 156 124 186
-156 187 155 157 125
-157 188 156 158 126
-158 189 157 159 127
-159 190 158 160 128
-160 191 159 161 129
-161 192 160 162 130
-162 1 161 163 131
-163 132 2 162 164
-164 165 133 3 163
-165 166 134 4 164
-166 165 167 135 5
-167 166 168 136 6
-168 167 169 137 7
-169 168 170 138 8
-170 169 171 139 9
-171 170 172 140 10
-172 11 171 173 141
-173 12 172 174 142
-174 143 13 173 175
-175 176 144 14 174
-176 177 145 15 175
-177 176 178 146 16
-178 177 179 147 17
-179 178 180 148 18
-180 179 181 149 19
-181 180 182 150 20
-182 181 183 151 21
-183 22 182 184 152
-184 23 183 185 153
-185 154 24 184 186
-186 187 155 25 185
-187 188 156 26 186
-188 187 189 157 27
-189 188 190 158 28
-190 189 191 159 29
-191 190 192 160 30
-192 1 191 161 31
0