Graph forms
for C4 [ 192, 206 ] = SS[192,102]
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On this page are computer-accessible forms for the graph C4[ 192, 206 ] =
SS[192,102].
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {106, 107}, {1, 3}, {12, 14}, {105, 107}, {1, 2}, {13, 14}, {1,
5}, {179, 183}, {162, 166}, {10, 14}, {104, 108}, {1, 4}, {178, 183}, {161,
164}, {160, 165}, {11, 14}, {104, 109}, {160, 166}, {162, 164}, {161, 167}, {33,
38}, {72, 79}, {34, 37}, {104, 111}, {105, 110}, {106, 109}, {103, 111}, {181,
189}, {103, 110}, {177, 184}, {32, 42}, {182, 188}, {52, 63}, {181, 190}, {179,
184}, {176, 187}, {103, 108}, {33, 45}, {51, 63}, {130, 142}, {180, 185}, {182,
187}, {34, 44}, {180, 186}, {128, 143}, {130, 141}, {65, 81}, {167, 183}, {100,
116}, {128, 144}, {129, 145}, {32, 49}, {75, 90}, {74, 91}, {97, 115}, {171,
185}, {102, 116}, {64, 83}, {175, 188}, {174, 189}, {173, 190}, {170, 185}, {65,
82}, {77, 94}, {78, 93}, {101, 118}, {102, 117}, {129, 146}, {8, 28}, {169,
189}, {67, 87}, {66, 86}, {64, 84}, {98, 118}, {9, 28}, {73, 92}, {76, 89}, {98,
119}, {103, 114}, {8, 30}, {172, 186}, {168, 190}, {99, 117}, {101, 115}, {8,
31}, {71, 80}, {66, 85}, {9, 30}, {96, 120}, {164, 188}, {6, 31}, {163, 186},
{75, 82}, {74, 83}, {68, 93}, {96, 121}, {104, 113}, {105, 112}, {7, 29}, {70,
92}, {68, 94}, {99, 121}, {106, 112}, {6, 29}, {67, 88}, {77, 86}, {78, 85},
{97, 122}, {105, 114}, {106, 113}, {7, 27}, {69, 89}, {100, 120}, {6, 27}, {73,
84}, {70, 91}, {76, 81}, {165, 187}, {166, 184}, {69, 90}, {72, 87}, {71, 88},
{17, 49}, {17, 48}, {138, 171}, {142, 175}, {15, 45}, {16, 50}, {15, 44}, {143,
172}, {137, 173}, {7, 34}, {151, 178}, {149, 176}, {95, 122}, {136, 174}, {6,
33}, {7, 32}, {88, 127}, {25, 49}, {87, 127}, {95, 119}, {8, 33}, {152, 177},
{27, 50}, {25, 48}, {9, 32}, {84, 125}, {85, 124}, {134, 175}, {24, 50}, {86,
124}, {9, 34}, {80, 123}, {135, 172}, {82, 126}, {83, 125}, {31, 48}, {81, 126},
{19, 35}, {153, 169}, {151, 167}, {149, 165}, {30, 46}, {21, 37}, {131, 178},
{155, 170}, {29, 47}, {155, 169}, {154, 168}, {150, 164}, {20, 39}, {24, 43},
{21, 38}, {26, 46}, {157, 169}, {156, 168}, {79, 123}, {26, 47}, {29, 40}, {132,
177}, {133, 176}, {31, 41}, {158, 168}, {156, 170}, {19, 36}, {154, 173}, {153,
174}, {148, 163}, {28, 43}, {27, 35}, {159, 167}, {148, 172}, {147, 171}, {28,
36}, {30, 39}, {150, 175}, {147, 170}, {139, 178}, {23, 45}, {159, 165}, {16,
43}, {144, 171}, {23, 44}, {18, 46}, {22, 42}, {20, 40}, {18, 47}, {158, 163},
{140, 177}, {141, 176}, {152, 166}, {157, 163}, {22, 41}, {146, 173}, {145,
174}, {21, 95}, {20, 95}, {45, 77}, {56, 88}, {55, 87}, {40, 73}, {60, 93}, {58,
91}, {42, 75}, {44, 78}, {43, 72}, {35, 71}, {46, 74}, {41, 76}, {59, 94}, {57,
92}, {47, 73}, {61, 90}, {62, 89}, {56, 80}, {58, 83}, {60, 85}, {37, 78}, {38,
77}, {36, 72}, {39, 74}, {59, 86}, {57, 84}, {61, 82}, {63, 80}, {62, 81}, {19,
99}, {63, 79}, {52, 68}, {52, 69}, {22, 100}, {51, 65}, {23, 101}, {19, 96},
{54, 69}, {53, 70}, {52, 64}, {54, 66}, {53, 65}, {20, 97}, {54, 67}, {51, 70},
{50, 71}, {22, 96}, {54, 64}, {53, 67}, {23, 97}, {21, 98}, {53, 66}, {51, 68},
{26, 98}, {55, 79}, {25, 99}, {49, 75}, {24, 100}, {48, 76}, {24, 102}, {25,
102}, {26, 101}, {17, 149}, {16, 151}, {17, 150}, {16, 152}, {18, 154}, {18,
153}, {35, 179}, {37, 180}, {38, 180}, {39, 181}, {11, 152}, {13, 153}, {13,
154}, {36, 179}, {57, 161}, {10, 147}, {59, 162}, {12, 149}, {12, 150}, {58,
160}, {15, 148}, {59, 160}, {57, 162}, {11, 151}, {42, 182}, {15, 147}, {40,
181}, {60, 161}, {10, 148}, {41, 182}, {61, 156}, {56, 155}, {62, 157}, {61,
158}, {60, 159}, {56, 156}, {58, 159}, {62, 155}, {55, 158}, {55, 157}, {5,
183}, {13, 191}, {12, 191}, {2, 186}, {3, 187}, {4, 189}, {4, 190}, {5, 191},
{2, 185}, {2, 191}, {5, 184}, {3, 188}, {3, 192}, {4, 192}, {10, 192}, {11,
192}, {90, 130}, {91, 129}, {89, 130}, {92, 129}, {93, 128}, {94, 128}, {107,
138}, {111, 142}, {108, 143}, {109, 137}, {116, 145}, {117, 144}, {110, 136},
{116, 146}, {111, 134}, {108, 135}, {121, 137}, {114, 131}, {119, 134}, {121,
136}, {119, 133}, {120, 138}, {127, 140}, {125, 137}, {127, 139}, {112, 133},
{113, 132}, {125, 136}, {124, 138}, {123, 131}, {126, 134}, {114, 139}, {122,
131}, {117, 143}, {118, 140}, {107, 144}, {124, 135}, {126, 133}, {112, 141},
{113, 140}, {115, 142}, {118, 139}, {115, 141}, {122, 132}, {109, 146}, {110,
145}, {120, 135}, {123, 132} }>;
(II) A more general form is to represent the graph as the orbit of {106, 107}
under the group generated by the following permutations:
a: (6, 7)(8, 9)(31, 32)(33, 34)(37, 38)(41, 42)(44, 45)(48, 49)(59, 60)(61,
62)(75, 76)(77, 78)(81, 82)(85, 86)(89, 90)(93, 94)(103, 104)(105, 106)(109,
110)(113, 114)(131, 132)(136, 137)(139, 140)(145, 146)(151, 152)(153, 154)(155,
156)(157, 158)(159, 160)(161, 162)(166, 167)(168, 169)(173, 174)(177, 178)(183,
184)(189, 190) (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, 35)(2, 19)(3, 71)(4, 27)(5, 179)(6, 190)(7, 189)(8, 154)(9, 153)(10,
24)(11, 16)(12, 72)(13, 28)(14, 43)(15, 116)(17, 55)(18, 30)(20, 73)(21,
125)(22, 170)(23, 129)(25, 163)(26, 74)(29, 181)(31, 168)(32, 169)(33, 173)(34,
174)(36, 191)(37, 136)(38, 137)(39, 47)(41, 156)(42, 155)(44, 145)(45, 146)(48,
158)(49, 157)(50, 192)(51, 142)(52, 134)(53, 141)(54, 133)(56, 182)(57, 122)(58,
118)(59, 113)(60, 114)(61, 76)(62, 75)(63, 175)(64, 119)(65, 130)(66, 112)(67,
176)(68, 111)(69, 126)(70, 115)(77, 109)(78, 110)(79, 150)(80, 188)(81, 90)(82,
89)(83, 98)(84, 95)(85, 105)(86, 106)(87, 149)(88, 187)(91, 101)(92, 97)(93,
103)(94, 104)(96, 185)(99, 186)(100, 147)(102, 148)(107, 124)(108, 128)(117,
172)(120, 171)(121, 180)(123, 164)(127, 165)(131, 161)(132, 162)(135, 144)(139,
159)(140, 160)(166, 177)(167, 178)
c: (1, 6, 51, 104, 14, 9, 54, 105)(2, 29, 68, 109, 10, 30, 66, 110)(3, 31, 65,
111, 12, 32, 69, 112)(4, 33, 70, 108, 13, 34, 64, 107)(5, 27, 63, 113, 11, 28,
67, 114)(7, 52, 106, 192, 8, 53, 103, 191)(15, 74, 124, 174, 180, 73, 128,
173)(16, 72, 127, 178, 179, 71, 123, 177)(17, 75, 130, 176, 182, 76, 126,
175)(18, 78, 125, 171, 181, 77, 129, 172)(19, 56, 122, 166, 24, 55, 118,
167)(20, 59, 116, 163, 26, 60, 121, 170)(21, 57, 117, 168, 23, 58, 120, 169)(22,
62, 119, 164, 25, 61, 115, 165)(35, 80, 132, 152, 43, 87, 139, 183)(36, 88, 131,
184, 50, 79, 140, 151)(37, 84, 144, 190, 45, 91, 135, 153)(38, 92, 143, 154, 44,
83, 138, 189)(39, 86, 145, 186, 47, 93, 137, 147)(40, 94, 146, 148, 46, 85, 136,
185)(41, 81, 134, 150, 49, 90, 141, 187)(42, 89, 133, 188, 48, 82, 142, 149)(95,
162, 102, 158, 101, 159, 96, 155)(97, 160, 100, 157, 98, 161, 99, 156)
d: (2, 3)(4, 5)(6, 8)(7, 9)(10, 12)(11, 13)(15, 17)(16, 18)(19, 20)(21, 22)(23,
25)(24, 26)(27, 30)(28, 29)(31, 33)(32, 34)(35, 39)(36, 40)(37, 42)(38, 41)(43,
47)(44, 49)(45, 48)(46, 50)(51, 54)(55, 57)(56, 58)(59, 62)(60, 61)(63, 64)(65,
66)(67, 70)(68, 69)(71, 74)(72, 73)(75, 78)(76, 77)(79, 84)(80, 83)(81, 86)(82,
85)(87, 92)(88, 91)(89, 94)(90, 93)(95, 96)(97, 99)(98, 100)(101, 102)(103,
104)(105, 106)(107, 112)(108, 111)(109, 114)(110, 113)(115, 117)(116, 118)(119,
120)(121, 122)(123, 125)(124, 126)(127, 129)(128, 130)(131, 137)(132, 136)(133,
138)(134, 135)(139, 146)(140, 145)(141, 144)(142, 143)(147, 149)(148, 150)(151,
154)(152, 153)(155, 160)(156, 159)(157, 162)(158, 161)(163, 164)(165, 170)(166,
169)(167, 168)(171, 176)(172, 175)(173, 178)(174, 177)(179, 181)(180, 182)(183,
190)(184, 189)(185, 187)(186, 188)(191, 192)
e: (6, 8)(7, 9)(27, 28)(29, 30)(35, 36)(39, 40)(43, 50)(46, 47)(55, 56)(57,
58)(71, 72)(73, 74)(79, 80)(83, 84)(87, 88)(91, 92)(103, 105)(104, 106)(107,
108)(111, 112)(133, 134)(135, 138)(141, 142)(143, 144)(147, 148)(149, 150)(155,
157)(156, 158)(159, 161)(160, 162)(163, 170)(164, 165)(171, 172)(175, 176)(185,
186)(187, 188)
f: (2, 5)(3, 4)(6, 7, 9, 8)(10, 11)(12, 13)(15, 16)(17, 18)(19, 21)(20, 22)(23,
24)(25, 26)(27, 34, 28, 33)(29, 32, 30, 31)(35, 37, 36, 38)(39, 41, 40, 42)(43,
45, 50, 44)(46, 48, 47, 49)(51, 54)(52, 53)(55, 59, 56, 60)(57, 61, 58, 62)(63,
66)(64, 65)(67, 68)(69, 70)(71, 78, 72, 77)(73, 75, 74, 76)(79, 86, 80, 85)(81,
84, 82, 83)(87, 94, 88, 93)(89, 92, 90, 91)(95, 96)(97, 100)(98, 99)(101,
102)(103, 104, 106, 105)(107, 114, 108, 113)(109, 112, 110, 111)(115, 116)(117,
118)(119, 121)(120, 122)(123, 124)(125, 126)(127, 128)(129, 130)(131, 135, 132,
138)(133, 136, 134, 137)(139, 143, 140, 144)(141, 145, 142, 146)(147, 151, 148,
152)(149, 153, 150, 154)(155, 161, 158, 160)(156, 159, 157, 162)(163, 166, 170,
167)(164, 168, 165, 169)(171, 178, 172, 177)(173, 176, 174, 175)(179, 180)(181,
182)(183, 186, 184, 185)(187, 189, 188, 190)
C4[ 192, 206 ]
192
-1 2 3 4 5
-2 1 191 185 186
-3 187 1 188 192
-4 1 189 190 192
-5 1 191 183 184
-6 33 27 29 31
-7 34 27 29 32
-8 33 28 30 31
-9 34 28 30 32
-10 14 147 148 192
-11 14 192 151 152
-12 14 191 149 150
-13 154 14 191 153
-14 11 12 13 10
-15 44 45 147 148
-16 50 151 152 43
-17 48 49 149 150
-18 154 46 47 153
-19 99 35 36 96
-20 39 40 95 97
-21 37 38 95 98
-22 100 41 96 42
-23 44 45 101 97
-24 100 102 50 43
-25 99 102 48 49
-26 46 101 47 98
-27 35 6 50 7
-28 36 8 9 43
-29 47 6 7 40
-30 46 39 8 9
-31 48 6 8 41
-32 49 7 9 42
-33 45 38 6 8
-34 44 37 7 9
-35 179 27 71 19
-36 179 28 72 19
-37 34 78 180 21
-38 33 77 180 21
-39 181 30 74 20
-40 181 29 73 20
-41 22 182 31 76
-42 22 182 75 32
-43 24 16 28 72
-44 23 34 78 15
-45 33 77 23 15
-46 26 18 30 74
-47 26 18 29 73
-48 25 17 31 76
-49 25 17 75 32
-50 24 16 27 71
-51 68 70 63 65
-52 68 69 63 64
-53 66 67 70 65
-54 66 67 69 64
-55 79 157 158 87
-56 88 155 156 80
-57 92 84 161 162
-58 91 159 83 160
-59 94 160 162 86
-60 93 159 161 85
-61 90 156 158 82
-62 89 155 157 81
-63 79 80 51 52
-64 83 84 52 54
-65 81 82 51 53
-66 85 53 86 54
-67 88 53 54 87
-68 93 94 51 52
-69 89 90 52 54
-70 91 92 51 53
-71 88 35 80 50
-72 79 36 43 87
-73 47 92 40 84
-74 46 91 39 83
-75 90 49 82 42
-76 89 48 81 41
-77 45 38 94 86
-78 44 37 93 85
-79 55 123 72 63
-80 56 123 71 63
-81 126 62 65 76
-82 126 61 75 65
-83 58 125 74 64
-84 57 125 73 64
-85 66 78 124 60
-86 66 77 124 59
-87 55 67 72 127
-88 56 67 71 127
-89 69 62 130 76
-90 69 61 75 130
-91 58 70 74 129
-92 57 70 73 129
-93 78 68 60 128
-94 77 68 59 128
-95 122 20 119 21
-96 22 121 19 120
-97 23 122 115 20
-98 26 118 119 21
-99 121 25 117 19
-100 22 24 116 120
-101 23 26 115 118
-102 24 25 116 117
-103 110 111 114 108
-104 111 113 108 109
-105 110 112 114 107
-106 112 113 107 109
-107 144 105 138 106
-108 143 135 103 104
-109 146 104 137 106
-110 145 103 136 105
-111 134 103 104 142
-112 133 105 106 141
-113 132 104 106 140
-114 103 105 139 131
-115 101 97 141 142
-116 100 145 102 146
-117 99 143 144 102
-118 101 139 140 98
-119 133 134 95 98
-120 100 135 138 96
-121 99 136 137 96
-122 132 95 97 131
-123 132 79 80 131
-124 135 138 85 86
-125 136 137 83 84
-126 133 134 81 82
-127 88 139 140 87
-128 143 144 93 94
-129 145 91 146 92
-130 89 90 141 142
-131 122 123 178 114
-132 122 177 123 113
-133 176 112 126 119
-134 111 126 119 175
-135 124 172 108 120
-136 110 121 125 174
-137 121 125 173 109
-138 124 171 107 120
-139 178 114 127 118
-140 177 113 127 118
-141 176 112 115 130
-142 111 115 130 175
-143 117 128 172 108
-144 171 117 128 107
-145 110 116 129 174
-146 116 129 173 109
-147 15 170 171 10
-148 15 172 163 10
-149 165 176 12 17
-150 12 17 164 175
-151 11 167 178 16
-152 11 166 177 16
-153 13 169 18 174
-154 13 168 18 173
-155 56 169 170 62
-156 56 168 170 61
-157 55 169 62 163
-158 55 168 61 163
-159 165 167 58 60
-160 165 166 58 59
-161 57 167 60 164
-162 166 57 59 164
-163 157 158 148 186
-164 188 150 161 162
-165 187 159 149 160
-166 160 162 184 152
-167 159 161 183 151
-168 154 156 190 158
-169 155 189 157 153
-170 155 156 147 185
-171 144 147 138 185
-172 143 135 148 186
-173 154 146 190 137
-174 145 189 136 153
-175 188 134 150 142
-176 187 133 149 141
-177 132 140 184 152
-178 139 183 151 131
-179 35 36 183 184
-180 37 38 185 186
-181 189 190 39 40
-182 187 188 41 42
-183 167 178 179 5
-184 166 177 179 5
-185 2 180 170 171
-186 2 180 172 163
-187 165 176 3 182
-188 3 182 164 175
-189 4 169 181 174
-190 168 4 181 173
-191 12 2 13 5
-192 11 3 4 10
0