Graph forms
for C4 [ 192, 201 ] = SS[192,93]
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On this page are computer-accessible forms for the graph C4[ 192, 201 ] =
SS[192,93].
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {26, 27}, {144, 145}, {30, 31}, {1, 3}, {144, 146}, {29, 31}, {1,
2}, {144, 147}, {28, 31}, {1, 5}, {144, 148}, {27, 31}, {24, 28}, {11, 15}, {72,
76}, {73, 77}, {1, 4}, {74, 79}, {75, 78}, {25, 30}, {19, 27}, {68, 76}, {71,
79}, {20, 29}, {68, 77}, {69, 76}, {70, 79}, {71, 78}, {22, 28}, {23, 29}, {21,
30}, {180, 191}, {69, 78}, {70, 77}, {177, 189}, {178, 190}, {176, 191}, {7,
23}, {174, 190}, {173, 189}, {171, 187}, {169, 185}, {8, 24}, {64, 80}, {72,
88}, {74, 90}, {65, 80}, {135, 150}, {66, 83}, {67, 82}, {64, 82}, {133, 151},
{65, 83}, {67, 81}, {73, 91}, {75, 89}, {9, 26}, {168, 187}, {164, 183}, {134,
149}, {10, 25}, {66, 81}, {161, 181}, {162, 182}, {170, 188}, {172, 186}, {160,
183}, {142, 148}, {163, 184}, {167, 188}, {12, 16}, {166, 186}, {165, 185},
{143, 147}, {132, 152}, {130, 158}, {129, 157}, {140, 145}, {13, 18}, {141,
146}, {128, 159}, {14, 17}, {6, 38}, {156, 188}, {151, 183}, {149, 181}, {16,
48}, {6, 39}, {155, 186}, {23, 54}, {6, 36}, {153, 187}, {6, 37}, {154, 185},
{131, 160}, {18, 49}, {17, 50}, {66, 102}, {139, 175}, {137, 173}, {67, 103},
{64, 101}, {65, 100}, {136, 174}, {142, 168}, {15, 40}, {159, 184}, {135, 175},
{158, 182}, {157, 181}, {143, 167}, {141, 165}, {19, 58}, {132, 174}, {140,
166}, {134, 173}, {148, 191}, {20, 56}, {146, 190}, {145, 189}, {25, 53}, {21,
59}, {152, 182}, {150, 184}, {131, 173}, {129, 175}, {128, 174}, {26, 52}, {22,
57}, {24, 55}, {130, 176}, {133, 176}, {23, 32}, {18, 42}, {26, 34}, {22, 46},
{16, 41}, {138, 179}, {136, 177}, {24, 33}, {21, 44}, {20, 45}, {17, 43}, {138,
176}, {25, 35}, {137, 178}, {15, 51}, {19, 47}, {139, 180}, {15, 75}, {53, 113},
{54, 115}, {52, 114}, {55, 112}, {32, 108}, {33, 109}, {34, 109}, {35, 108},
{20, 68}, {58, 106}, {56, 104}, {22, 70}, {21, 71}, {59, 105}, {57, 107}, {147,
192}, {44, 120}, {50, 102}, {45, 121}, {46, 123}, {59, 110}, {58, 111}, {55,
98}, {53, 96}, {49, 100}, {47, 122}, {19, 69}, {57, 111}, {56, 110}, {51, 101},
{48, 103}, {54, 97}, {52, 99}, {16, 72}, {49, 105}, {48, 104}, {47, 119}, {46,
118}, {45, 117}, {44, 116}, {18, 74}, {17, 73}, {50, 107}, {51, 106}, {43, 119},
{62, 98}, {36, 121}, {60, 97}, {41, 116}, {39, 122}, {38, 123}, {37, 120}, {40,
118}, {61, 99}, {42, 117}, {63, 96}, {54, 86}, {60, 92}, {61, 93}, {62, 94},
{52, 85}, {61, 92}, {62, 95}, {63, 94}, {53, 87}, {63, 93}, {7, 100}, {60, 95},
{55, 84}, {11, 104}, {48, 86}, {51, 85}, {50, 84}, {49, 87}, {12, 107}, {14,
105}, {13, 106}, {57, 80}, {59, 82}, {11, 96}, {58, 81}, {56, 83}, {8, 101},
{10, 103}, {9, 102}, {175, 192}, {14, 97}, {13, 98}, {12, 99}, {41, 89}, {42,
91}, {12, 126}, {40, 90}, {13, 127}, {14, 125}, {179, 192}, {43, 88}, {8, 126},
{9, 127}, {7, 112}, {11, 124}, {10, 125}, {10, 114}, {8, 113}, {47, 86}, {46,
87}, {45, 84}, {44, 85}, {9, 115}, {7, 124}, {34, 94}, {39, 91}, {35, 95}, {32,
93}, {37, 88}, {33, 92}, {36, 90}, {38, 89}, {27, 136}, {30, 138}, {28, 137},
{29, 139}, {40, 129}, {43, 130}, {41, 131}, {42, 128}, {32, 140}, {37, 137},
{36, 136}, {34, 143}, {39, 138}, {38, 139}, {35, 141}, {33, 142}, {4, 181}, {5,
182}, {3, 183}, {3, 187}, {2, 184}, {4, 191}, {5, 185}, {3, 190}, {60, 129},
{61, 128}, {62, 131}, {63, 130}, {2, 188}, {4, 186}, {2, 189}, {110, 172}, {111,
171}, {5, 192}, {65, 132}, {67, 134}, {111, 170}, {64, 135}, {66, 133}, {110,
169}, {69, 141}, {71, 142}, {109, 164}, {70, 140}, {68, 143}, {72, 132}, {74,
134}, {108, 161}, {73, 135}, {75, 133}, {108, 162}, {109, 163}, {97, 177}, {99,
179}, {119, 167}, {76, 157}, {78, 159}, {79, 158}, {116, 165}, {96, 178}, {114,
160}, {103, 180}, {117, 166}, {101, 177}, {102, 178}, {98, 180}, {100, 179},
{123, 163}, {120, 161}, {121, 162}, {118, 168}, {122, 164}, {122, 154}, {123,
155}, {120, 153}, {125, 156}, {116, 150}, {117, 151}, {119, 149}, {126, 156},
{126, 154}, {127, 155}, {112, 149}, {115, 150}, {121, 156}, {124, 153}, {113,
151}, {124, 154}, {125, 155}, {127, 153}, {114, 152}, {113, 157}, {77, 160},
{115, 158}, {118, 152}, {112, 159}, {83, 163}, {87, 167}, {91, 171}, {92, 172},
{80, 161}, {84, 165}, {81, 162}, {85, 166}, {89, 170}, {90, 169}, {88, 172},
{95, 171}, {82, 164}, {93, 170}, {94, 169}, {104, 145}, {106, 147}, {105, 146},
{86, 168}, {107, 148} }>;
(II) A more general form is to represent the graph as the orbit of {26, 27}
under the group generated by the following permutations:
a: (1, 19, 110, 22)(2, 47, 59, 70)(3, 69, 56, 46)(4, 58, 169, 28)(5, 27, 172,
57)(6, 120, 108, 121)(7, 10, 42, 41)(8, 176, 51, 63)(9, 60, 50, 175)(11, 53,
151, 75)(12, 179, 52, 61)(13, 62, 55, 180)(14, 73, 150, 54)(15, 96, 113,
133)(16, 100, 114, 128)(17, 135, 115, 97)(18, 131, 112, 103)(20, 123, 187,
141)(21, 140, 188, 122)(23, 125, 91, 116)(24, 191, 106, 94)(25, 117, 89,
124)(26, 92, 107, 192)(29, 155, 171, 165)(30, 166, 170, 154)(31, 186, 111,
185)(32, 156, 39, 44)(33, 148, 147, 34)(35, 45, 38, 153)(36, 37, 161, 162)(40,
178, 157, 66)(43, 64, 158, 177)(48, 49, 160, 159)(65, 152, 174, 72)(67, 74, 173,
149)(68, 163, 168, 146)(71, 145, 167, 164)(76, 83, 118, 190)(77, 184, 86,
105)(78, 104, 87, 183)(79, 189, 119, 82)(80, 182, 136, 88)(81, 90, 137, 181)(84,
139, 127, 95)(85, 93, 126, 138)(101, 130)(102, 129)(109, 142, 144, 143) (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, 15, 108, 16)(2, 40, 32, 72)(3, 51, 35, 12)(4, 75, 162, 48)(5, 11, 161,
41)(6, 115, 110, 112)(7, 37, 150, 169)(8, 171, 52, 146)(9, 59, 55, 39)(10, 148,
151, 58)(13, 30, 50, 164)(14, 33, 42, 27)(17, 109, 18, 31)(19, 125, 142,
117)(20, 119, 123, 79)(21, 84, 122, 127)(22, 77, 143, 87)(23, 88, 184, 90)(24,
91, 26, 105)(25, 107, 183, 106)(28, 73, 34, 49)(29, 43, 163, 74)(36, 54, 172,
159)(38, 158, 56, 149)(44, 165, 154, 153)(45, 47, 155, 71)(46, 70, 68, 167)(53,
57, 160, 147)(60, 61, 174, 177)(62, 179, 178, 64)(63, 65, 173, 175)(66, 67, 180,
176)(69, 156, 168, 166)(76, 188, 118, 140)(78, 121, 86, 186)(80, 131, 192,
96)(81, 103, 191, 133)(82, 98, 138, 102)(83, 134, 139, 130)(85, 141, 126,
187)(89, 182, 104, 181)(92, 128, 136, 97)(93, 132, 189, 129)(94, 100, 137,
135)(95, 99, 190, 101)(111, 114, 144, 113)(116, 185, 124, 120)(145, 157, 170,
152)
c: (1, 6)(2, 38)(3, 39)(4, 36)(5, 37)(7, 11)(8, 13)(9, 12)(10, 14)(15, 112)(16,
115)(17, 114)(18, 113)(19, 142)(20, 140)(21, 141)(22, 143)(23, 104)(24, 106)(25,
105)(26, 107)(27, 148)(28, 147)(29, 145)(30, 146)(31, 144)(32, 56)(33, 58)(34,
57)(35, 59)(40, 149)(41, 150)(42, 151)(43, 152)(44, 165)(45, 166)(46, 167)(47,
168)(48, 54)(49, 53)(50, 52)(51, 55)(60, 67)(61, 66)(62, 64)(63, 65)(68, 70)(69,
71)(72, 158)(73, 160)(74, 157)(75, 159)(76, 79)(80, 94)(81, 92)(82, 95)(83,
93)(84, 85)(88, 182)(89, 184)(90, 181)(91, 183)(96, 100)(97, 103)(98, 101)(99,
102)(108, 110)(109, 111)(118, 119)(120, 185)(121, 186)(122, 187)(123, 188)(126,
127)(128, 133)(129, 134)(130, 132)(131, 135)(136, 191)(137, 192)(138, 190)(139,
189)(153, 154)(155, 156)(161, 169)(162, 172)(163, 170)(164, 171)(173, 175)(174,
176)(177, 180)(178, 179)
d: (2, 4, 3, 5)(7, 8, 10, 9)(11, 12, 14, 13)(15, 16, 17, 18)(19, 20, 22, 21)(23,
24, 25, 26)(27, 29, 28, 30)(32, 33, 35, 34)(36, 38, 37, 39)(40, 41, 43, 42)(44,
47, 45, 46)(48, 50, 49, 51)(52, 54, 55, 53)(56, 57, 59, 58)(60, 62, 63, 61)(64,
67, 66, 65)(68, 70, 71, 69)(72, 73, 74, 75)(76, 77, 79, 78)(80, 82, 81, 83)(84,
87, 85, 86)(88, 91, 90, 89)(92, 95, 94, 93)(96, 99, 97, 98)(100, 101, 103,
102)(104, 107, 105, 106)(108, 109)(110, 111)(112, 113, 114, 115)(116, 119, 117,
118)(120, 122, 121, 123)(124, 126, 125, 127)(128, 129, 131, 130)(132, 135, 134,
133)(136, 139, 137, 138)(140, 142, 141, 143)(145, 148, 146, 147)(149, 151, 152,
150)(153, 154, 156, 155)(157, 160, 158, 159)(161, 164, 162, 163)(165, 167, 166,
168)(169, 170, 172, 171)(173, 176, 174, 175)(177, 180, 178, 179)(181, 183, 182,
184)(185, 188, 186, 187)(189, 191, 190, 192)
C4[ 192, 201 ]
192
-1 2 3 4 5
-2 1 188 189 184
-3 187 1 190 183
-4 1 191 181 186
-5 1 192 182 185
-6 36 37 38 39
-7 23 100 112 124
-8 24 101 113 126
-9 102 26 115 127
-10 25 103 114 125
-11 124 15 104 96
-12 99 16 126 107
-13 127 18 106 98
-14 125 17 105 97
-15 11 40 51 75
-16 12 48 72 41
-17 14 50 73 43
-18 13 49 74 42
-19 47 58 69 27
-20 45 56 68 29
-21 44 59 71 30
-22 46 57 70 28
-23 7 29 32 54
-24 33 55 28 8
-25 35 30 53 10
-26 34 27 52 9
-27 26 136 19 31
-28 22 24 137 31
-29 23 139 20 31
-30 25 138 31 21
-31 27 28 29 30
-32 23 93 140 108
-33 24 92 109 142
-34 143 26 94 109
-35 25 95 108 141
-36 121 90 136 6
-37 88 137 6 120
-38 89 123 6 139
-39 122 91 6 138
-40 90 15 118 129
-41 89 16 116 131
-42 91 18 117 128
-43 88 17 119 130
-44 116 85 21 120
-45 121 84 117 20
-46 22 123 118 87
-47 122 19 86 119
-48 103 16 104 86
-49 100 105 18 87
-50 102 17 84 107
-51 101 15 106 85
-52 99 26 114 85
-53 25 113 96 87
-54 23 115 86 97
-55 24 112 84 98
-56 110 104 83 20
-57 22 111 80 107
-58 111 81 106 19
-59 110 82 105 21
-60 92 95 129 97
-61 99 92 93 128
-62 94 95 98 131
-63 93 94 96 130
-64 101 80 135 82
-65 132 100 80 83
-66 133 102 81 83
-67 134 81 103 82
-68 77 143 20 76
-69 78 19 141 76
-70 22 77 79 140
-71 78 79 21 142
-72 88 132 16 76
-73 77 91 135 17
-74 79 90 134 18
-75 78 89 133 15
-76 68 69 157 72
-77 68 70 160 73
-78 69 71 159 75
-79 70 158 71 74
-80 57 161 64 65
-81 66 67 58 162
-82 67 59 64 164
-83 66 56 163 65
-84 55 165 45 50
-85 44 166 51 52
-86 47 168 48 54
-87 46 167 49 53
-88 37 72 172 43
-89 38 170 41 75
-90 36 169 40 74
-91 39 171 73 42
-92 33 60 61 172
-93 170 61 63 32
-94 34 169 62 63
-95 35 60 171 62
-96 11 178 63 53
-97 177 14 60 54
-98 55 13 180 62
-99 12 179 61 52
-100 179 49 7 65
-101 177 51 8 64
-102 66 178 50 9
-103 67 48 180 10
-104 11 56 145 48
-105 14 146 59 49
-106 13 58 147 51
-107 12 57 148 50
-108 35 161 162 32
-109 33 34 163 164
-110 56 59 169 172
-111 57 58 170 171
-112 55 159 149 7
-113 157 8 151 53
-114 160 52 152 10
-115 158 150 9 54
-116 44 165 150 41
-117 45 166 151 42
-118 46 168 40 152
-119 167 47 149 43
-120 44 37 161 153
-121 45 156 36 162
-122 154 47 39 164
-123 155 46 38 163
-124 11 154 7 153
-125 155 156 14 10
-126 154 12 156 8
-127 155 13 9 153
-128 159 61 42 174
-129 157 60 40 175
-130 176 158 63 43
-131 160 62 41 173
-132 72 152 174 65
-133 66 176 151 75
-134 67 149 74 173
-135 73 150 64 175
-136 177 36 27 174
-137 178 37 28 173
-138 176 179 39 30
-139 180 38 29 175
-140 166 145 70 32
-141 165 35 69 146
-142 33 168 71 148
-143 34 68 167 147
-144 145 146 147 148
-145 144 189 104 140
-146 144 190 105 141
-147 143 144 192 106
-148 144 191 107 142
-149 112 134 181 119
-150 135 115 116 184
-151 133 113 117 183
-152 132 114 182 118
-153 187 124 127 120
-154 122 124 126 185
-155 123 125 127 186
-156 121 188 125 126
-157 113 181 129 76
-158 79 115 182 130
-159 78 112 128 184
-160 77 114 183 131
-161 80 181 108 120
-162 121 81 182 108
-163 123 83 184 109
-164 122 82 183 109
-165 116 84 141 185
-166 117 85 140 186
-167 143 188 119 87
-168 187 118 86 142
-169 110 90 94 185
-170 89 111 188 93
-171 187 111 91 95
-172 88 110 92 186
-173 134 189 137 131
-174 132 190 136 128
-175 135 192 139 129
-176 133 191 138 130
-177 101 189 136 97
-178 102 190 137 96
-179 99 100 192 138
-180 103 191 139 98
-181 157 4 149 161
-182 158 5 162 152
-183 3 160 151 164
-184 2 159 150 163
-185 154 165 169 5
-186 155 166 4 172
-187 3 168 171 153
-188 2 156 167 170
-189 177 2 145 173
-190 178 3 146 174
-191 176 4 180 148
-192 179 147 5 175
0