Graph forms
for C4 [ 192, 203 ] = SS[192,95]
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On this page are computer-accessible forms for the graph C4[ 192, 203 ] =
SS[192,95].
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {1, 3}, {16, 18}, {1, 2}, {180, 183}, {144, 147}, {17, 18}, {1,
5}, {178, 182}, {177, 181}, {144, 148}, {32, 36}, {1, 4}, {32, 37}, {33, 39},
{33, 38}, {176, 183}, {34, 43}, {35, 42}, {80, 89}, {81, 88}, {82, 91}, {83,
90}, {34, 41}, {179, 184}, {35, 40}, {144, 159}, {68, 84}, {170, 186}, {169,
185}, {71, 86}, {143, 158}, {141, 156}, {69, 87}, {168, 186}, {143, 157}, {78,
92}, {79, 93}, {70, 85}, {139, 152}, {76, 95}, {77, 94}, {32, 52}, {142, 154},
{141, 153}, {140, 152}, {33, 53}, {78, 90}, {79, 91}, {76, 89}, {142, 155}, {77,
88}, {32, 54}, {33, 55}, {74, 92}, {75, 93}, {72, 95}, {175, 184}, {172, 187},
{171, 188}, {73, 94}, {67, 91}, {174, 182}, {173, 181}, {139, 147}, {129, 153},
{137, 145}, {34, 59}, {140, 149}, {35, 58}, {64, 89}, {130, 155}, {131, 154},
{34, 56}, {166, 188}, {140, 150}, {35, 57}, {66, 88}, {136, 146}, {65, 90},
{164, 191}, {160, 187}, {140, 151}, {15, 19}, {167, 187}, {165, 185}, {128,
156}, {137, 149}, {14, 19}, {143, 146}, {138, 151}, {73, 84}, {75, 86}, {136,
150}, {143, 145}, {138, 148}, {72, 87}, {162, 189}, {161, 190}, {74, 85}, {26,
58}, {150, 182}, {149, 181}, {135, 167}, {25, 56}, {135, 166}, {22, 52}, {156,
190}, {27, 57}, {23, 53}, {20, 55}, {159, 188}, {24, 59}, {21, 54}, {134, 165},
{64, 100}, {158, 186}, {157, 185}, {155, 191}, {153, 189}, {65, 101}, {66, 103},
{67, 102}, {128, 165}, {130, 167}, {131, 166}, {30, 56}, {31, 57}, {28, 59},
{29, 58}, {68, 99}, {69, 98}, {70, 97}, {71, 96}, {28, 53}, {30, 55}, {129,
168}, {133, 172}, {24, 51}, {148, 191}, {31, 52}, {29, 54}, {27, 48}, {26, 49},
{25, 50}, {31, 51}, {146, 190}, {145, 189}, {28, 49}, {132, 169}, {30, 48},
{132, 170}, {133, 171}, {134, 168}, {29, 50}, {152, 183}, {151, 184}, {144,
160}, {28, 45}, {31, 46}, {30, 47}, {29, 44}, {80, 98}, {81, 99}, {82, 96}, {83,
97}, {64, 120}, {67, 122}, {141, 180}, {20, 46}, {21, 47}, {65, 123}, {22, 45},
{23, 44}, {66, 121}, {142, 178}, {141, 179}, {142, 177}, {10, 74}, {13, 77},
{10, 75}, {13, 76}, {10, 72}, {13, 79}, {10, 73}, {13, 78}, {36, 97}, {39, 98},
{38, 99}, {37, 96}, {62, 120}, {63, 121}, {60, 123}, {61, 122}, {12, 68}, {63,
119}, {45, 101}, {44, 100}, {27, 83}, {26, 82}, {25, 81}, {24, 80}, {12, 69},
{62, 119}, {47, 102}, {46, 103}, {60, 118}, {61, 118}, {11, 71}, {11, 70}, {18,
66}, {27, 75}, {26, 74}, {23, 71}, {19, 67}, {21, 68}, {59, 106}, {56, 105},
{25, 72}, {24, 73}, {18, 64}, {58, 104}, {57, 107}, {20, 70}, {19, 65}, {22,
69}, {147, 192}, {48, 100}, {63, 107}, {61, 105}, {51, 102}, {49, 103}, {62,
104}, {60, 106}, {50, 101}, {36, 124}, {39, 127}, {38, 126}, {37, 125}, {21,
76}, {23, 78}, {11, 81}, {154, 192}, {11, 80}, {22, 77}, {20, 79}, {54, 106},
{52, 105}, {12, 82}, {53, 107}, {12, 83}, {55, 104}, {14, 110}, {15, 111}, {16,
113}, {17, 112}, {17, 114}, {163, 192}, {9, 109}, {16, 116}, {8, 109}, {6, 110},
{7, 111}, {60, 85}, {62, 87}, {6, 108}, {7, 108}, {63, 84}, {61, 86}, {7, 116},
{6, 114}, {42, 94}, {41, 92}, {43, 93}, {8, 127}, {40, 95}, {9, 126}, {8, 113},
{9, 112}, {6, 124}, {15, 117}, {7, 125}, {8, 115}, {9, 117}, {14, 115}, {14,
128}, {15, 129}, {16, 131}, {17, 130}, {40, 137}, {43, 138}, {41, 139}, {42,
136}, {41, 129}, {42, 131}, {45, 132}, {44, 133}, {40, 130}, {43, 128}, {47,
132}, {46, 133}, {36, 138}, {37, 139}, {38, 137}, {39, 136}, {5, 181}, {4, 182},
{50, 134}, {2, 183}, {51, 134}, {49, 135}, {48, 135}, {3, 186}, {5, 188}, {4,
189}, {2, 185}, {5, 190}, {3, 184}, {2, 191}, {4, 187}, {109, 173}, {3, 192},
{108, 175}, {109, 174}, {96, 165}, {98, 167}, {99, 166}, {97, 168}, {100, 174},
{101, 175}, {103, 173}, {111, 160}, {116, 164}, {114, 163}, {115, 162}, {126,
172}, {119, 164}, {117, 161}, {118, 162}, {119, 163}, {127, 171}, {124, 169},
{102, 176}, {118, 161}, {125, 170}, {120, 160}, {106, 179}, {104, 178}, {107,
177}, {126, 164}, {108, 176}, {127, 163}, {105, 180}, {124, 161}, {125, 162},
{85, 176}, {123, 158}, {121, 159}, {112, 151}, {122, 157}, {89, 177}, {91, 179},
{115, 155}, {116, 156}, {121, 145}, {113, 152}, {122, 147}, {88, 178}, {120,
146}, {114, 153}, {112, 157}, {90, 180}, {113, 158}, {117, 154}, {123, 148},
{110, 159}, {94, 172}, {95, 171}, {92, 169}, {93, 170}, {110, 150}, {86, 175},
{84, 174}, {87, 173}, {111, 149} }>;
(II) A more general form is to represent the graph as the orbit of {1, 3}
under the group generated by the following permutations:
a: (2, 3)(4, 5)(6, 7)(8, 9)(14, 15)(16, 17)(20, 23)(21, 22)(24, 25)(26, 27)(28,
30)(29, 31)(36, 37)(38, 39)(40, 42)(41, 43)(44, 46)(45, 47)(48, 49)(50, 51)(52,
54)(53, 55)(56, 59)(57, 58)(60, 61)(62, 63)(64, 66)(65, 67)(68, 69)(70, 71)(72,
73)(74, 75)(76, 77)(78, 79)(80, 81)(82, 83)(84, 87)(85, 86)(88, 89)(90, 91)(92,
93)(94, 95)(96, 97)(98, 99)(100, 103)(101, 102)(104, 107)(105, 106)(110,
111)(112, 113)(114, 116)(115, 117)(120, 121)(122, 123)(124, 125)(126, 127)(128,
129)(130, 131)(136, 137)(138, 139)(145, 146)(147, 148)(149, 150)(151, 152)(153,
156)(154, 155)(157, 158)(159, 160)(161, 162)(163, 164)(165, 168)(166, 167)(169,
170)(171, 172)(173, 174)(175, 176)(177, 178)(179, 180)(181, 182)(183, 184)(185,
186)(187, 188)(189, 190)(191, 192) (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, 11)(2, 80)(3, 81)(4, 70)(5, 71)(6, 48)(7, 49)(8, 52)(9, 54)(10, 144)(12,
140)(13, 143)(14, 57)(15, 58)(16, 45)(17, 47)(18, 132)(19, 35)(20, 189)(21,
112)(22, 113)(23, 190)(24, 191)(25, 192)(26, 111)(27, 110)(28, 116)(29, 117)(30,
114)(31, 115)(32, 109)(33, 141)(34, 119)(36, 174)(37, 173)(38, 179)(39, 180)(40,
67)(41, 62)(42, 65)(43, 63)(44, 161)(46, 162)(50, 154)(51, 155)(53, 156)(55,
153)(56, 163)(59, 164)(60, 172)(61, 171)(64, 169)(66, 170)(68, 151)(69, 152)(72,
147)(73, 148)(74, 160)(75, 159)(76, 157)(77, 158)(78, 146)(79, 145)(82, 149)(83,
150)(84, 138)(85, 187)(86, 188)(87, 139)(88, 186)(89, 185)(90, 136)(91, 137)(92,
120)(93, 121)(94, 123)(95, 122)(96, 181)(97, 182)(98, 183)(99, 184)(100,
124)(101, 131)(102, 130)(103, 125)(104, 129)(105, 127)(106, 126)(107, 128)(108,
135)(118, 133)(134, 142)(165, 177)(166, 175)(167, 176)(168, 178)
c: (1, 10)(2, 73)(3, 72)(4, 74)(5, 75)(6, 44)(7, 46)(8, 45)(9, 47)(11, 144)(12,
143)(13, 140)(14, 53)(15, 55)(16, 52)(17, 54)(18, 32)(19, 33)(20, 111)(21,
112)(22, 113)(23, 110)(24, 191)(25, 192)(26, 189)(27, 190)(28, 115)(29, 114)(30,
117)(31, 116)(34, 142)(35, 141)(36, 64)(37, 66)(38, 67)(39, 65)(40, 179)(41,
178)(42, 180)(43, 177)(48, 161)(49, 162)(50, 163)(51, 164)(56, 154)(57, 156)(58,
153)(59, 155)(60, 167)(61, 166)(62, 168)(63, 165)(68, 157)(69, 158)(70, 160)(71,
159)(76, 151)(77, 152)(78, 150)(79, 149)(80, 148)(81, 147)(82, 145)(83, 146)(84,
185)(85, 187)(86, 188)(87, 186)(88, 139)(89, 138)(90, 136)(91, 137)(92, 182)(93,
181)(94, 183)(95, 184)(96, 121)(97, 120)(98, 123)(99, 122)(100, 124)(101,
127)(102, 126)(103, 125)(104, 129)(105, 131)(106, 130)(107, 128)(108, 133)(109,
132)(118, 135)(119, 134)(169, 174)(170, 173)(171, 175)(172, 176)
d: (1, 20, 115, 25)(2, 70, 162, 56)(3, 79, 14, 50)(4, 55, 155, 81)(5, 46, 8,
72)(6, 54, 147, 78)(7, 59, 157, 83)(9, 69, 149, 49)(10, 190, 31, 113)(11, 189,
30, 191)(12, 111, 28, 112)(13, 110, 29, 192)(15, 45, 151, 82)(16, 73, 146,
57)(17, 68, 160, 53)(18, 84, 120, 107)(19, 101, 184, 91)(21, 144, 23, 114)(22,
140, 26, 117)(24, 143, 27, 116)(32, 139, 92, 124)(33, 130, 99, 187)(34, 185, 97,
125)(35, 131, 94, 136)(36, 37, 41, 169)(38, 167)(39, 40, 166, 172)(43, 165, 168,
170)(44, 163, 76, 159)(47, 148, 71, 153)(48, 164, 80, 145)(51, 158, 75, 156)(52,
152, 74, 161)(58, 154, 77, 150)(60, 61, 180, 176)(62, 177, 66, 174)(63, 64)(65,
175, 179, 67)(85, 118, 105, 183)(86, 141, 102, 123)(87, 181, 103, 109)(88, 182,
104, 142)(89, 121, 100, 119)(90, 108, 106, 122)(93, 128, 134, 186)(95, 188, 133,
127)(96, 129, 132, 138)(98, 137, 135, 126)
e: (2, 5, 3, 4)(6, 8, 7, 9)(11, 12)(14, 16, 15, 17)(18, 19)(20, 22, 23, 21)(24,
26, 25, 27)(28, 29, 30, 31)(32, 33)(34, 35)(36, 39, 37, 38)(40, 43, 42, 41)(44,
47, 46, 45)(48, 51, 49, 50)(52, 53, 54, 55)(56, 57, 59, 58)(60, 62, 61, 63)(64,
67, 66, 65)(68, 70, 69, 71)(72, 75, 73, 74)(76, 79, 77, 78)(80, 82, 81, 83)(84,
85, 87, 86)(88, 90, 89, 91)(92, 95, 93, 94)(96, 99, 97, 98)(100, 102, 103,
101)(104, 105, 107, 106)(108, 109)(110, 113, 111, 112)(114, 115, 116, 117)(118,
119)(120, 122, 121, 123)(124, 127, 125, 126)(128, 131, 129, 130)(132, 133)(134,
135)(136, 139, 137, 138)(141, 142)(143, 144)(145, 148, 146, 147)(149, 151, 150,
152)(153, 155, 156, 154)(157, 159, 158, 160)(161, 163, 162, 164)(165, 166, 168,
167)(169, 171, 170, 172)(173, 175, 174, 176)(177, 179, 178, 180)(181, 184, 182,
183)(185, 188, 186, 187)(189, 191, 190, 192)
f: (1, 18, 33, 10, 32, 19)(2, 16, 39, 72, 54, 67)(3, 17, 38, 73, 52, 65)(4, 66,
53, 75, 36, 15)(5, 64, 55, 74, 37, 14)(6, 149, 174, 46, 78, 170)(7, 150, 173,
44, 79, 169)(8, 171, 76, 47, 176, 152)(9, 172, 77, 45, 175, 151)(11, 34, 118,
144, 142, 135)(12, 134, 141, 143, 119, 35)(13, 132, 108, 140, 109, 133)(20, 92,
125, 110, 181, 100)(21, 102, 183, 113, 127, 95)(22, 101, 184, 112, 126, 94)(23,
93, 124, 111, 182, 103)(24, 105, 123, 192, 130, 99)(25, 106, 122, 191, 131,
98)(26, 96, 128, 190, 120, 104)(27, 97, 129, 189, 121, 107)(28, 86, 138, 117,
187, 88)(29, 91, 185, 116, 136, 87)(30, 85, 139, 115, 188, 89)(31, 90, 186, 114,
137, 84)(40, 68, 51, 180, 158, 163)(41, 162, 159, 177, 48, 70)(42, 69, 50, 179,
157, 164)(43, 161, 160, 178, 49, 71)(56, 60, 147, 155, 166, 80)(57, 83, 168,
153, 145, 63)(58, 82, 165, 156, 146, 62)(59, 61, 148, 154, 167, 81)
C4[ 192, 203 ]
192
-1 2 3 4 5
-2 1 191 183 185
-3 1 192 184 186
-4 187 1 189 182
-5 1 188 190 181
-6 110 124 114 108
-7 111 125 116 108
-8 113 115 127 109
-9 112 126 117 109
-10 72 73 74 75
-11 80 70 81 71
-12 68 69 82 83
-13 77 78 79 76
-14 110 115 128 19
-15 111 117 19 129
-16 113 116 18 131
-17 112 114 18 130
-18 66 16 17 64
-19 67 14 15 65
-20 55 46 79 70
-21 68 47 54 76
-22 77 45 69 52
-23 44 78 71 53
-24 80 59 51 73
-25 56 81 50 72
-26 58 49 82 74
-27 57 48 83 75
-28 45 59 49 53
-29 44 58 50 54
-30 55 56 47 48
-31 46 57 51 52
-32 36 37 52 54
-33 55 38 39 53
-34 56 59 41 43
-35 57 58 40 42
-36 124 138 97 32
-37 125 139 96 32
-38 33 99 126 137
-39 33 136 127 98
-40 35 137 95 130
-41 34 92 139 129
-42 35 136 94 131
-43 34 93 138 128
-44 23 100 133 29
-45 22 132 101 28
-46 133 103 20 31
-47 132 102 30 21
-48 100 135 27 30
-49 135 26 103 28
-50 101 134 25 29
-51 24 134 102 31
-52 22 105 31 32
-53 33 23 28 107
-54 29 106 21 32
-55 33 104 30 20
-56 34 25 105 30
-57 35 27 107 31
-58 35 26 104 29
-59 34 24 28 106
-60 123 106 85 118
-61 122 105 118 86
-62 104 119 87 120
-63 121 84 107 119
-64 89 100 18 120
-65 90 101 123 19
-66 88 121 103 18
-67 122 91 102 19
-68 99 12 84 21
-69 22 12 87 98
-70 11 85 20 97
-71 11 23 96 86
-72 25 95 10 87
-73 24 94 84 10
-74 26 92 85 10
-75 27 93 86 10
-76 89 13 95 21
-77 22 88 13 94
-78 23 13 90 92
-79 13 91 93 20
-80 11 89 24 98
-81 11 88 99 25
-82 12 91 26 96
-83 12 90 27 97
-84 68 73 63 174
-85 176 70 60 74
-86 71 61 75 175
-87 69 72 62 173
-88 66 77 178 81
-89 177 80 64 76
-90 78 180 83 65
-91 67 79 179 82
-92 78 169 41 74
-93 79 170 75 43
-94 77 73 172 42
-95 72 171 40 76
-96 165 37 71 82
-97 36 168 70 83
-98 167 69 80 39
-99 166 68 81 38
-100 44 48 64 174
-101 45 50 65 175
-102 176 67 47 51
-103 66 46 49 173
-104 55 178 58 62
-105 56 180 61 52
-106 179 59 60 54
-107 177 57 63 53
-108 176 6 7 175
-109 8 173 9 174
-110 14 159 6 150
-111 15 149 160 7
-112 157 17 151 9
-113 158 16 8 152
-114 6 17 163 153
-115 155 14 8 162
-116 156 16 7 164
-117 154 15 161 9
-118 60 61 161 162
-119 62 63 163 164
-120 146 160 62 64
-121 66 145 159 63
-122 67 157 147 61
-123 158 60 148 65
-124 36 169 6 161
-125 37 170 7 162
-126 38 172 9 164
-127 39 171 8 163
-128 165 156 14 43
-129 168 15 41 153
-130 155 167 17 40
-131 154 166 16 42
-132 45 47 169 170
-133 44 46 171 172
-134 165 168 50 51
-135 166 167 48 49
-136 146 39 150 42
-137 145 38 149 40
-138 36 148 151 43
-139 37 147 41 152
-140 149 150 151 152
-141 156 179 180 153
-142 154 155 177 178
-143 145 146 157 158
-144 147 148 159 160
-145 121 143 189 137
-146 143 190 136 120
-147 122 144 192 139
-148 144 123 191 138
-149 111 137 181 140
-150 110 136 182 140
-151 112 138 140 184
-152 113 139 183 140
-153 189 114 129 141
-154 192 117 131 142
-155 191 115 130 142
-156 190 116 128 141
-157 143 122 112 185
-158 143 123 113 186
-159 110 121 144 188
-160 187 111 144 120
-161 124 190 117 118
-162 189 125 115 118
-163 114 192 127 119
-164 191 126 116 119
-165 134 128 96 185
-166 99 188 135 131
-167 187 135 130 98
-168 134 129 97 186
-169 132 124 92 185
-170 132 125 93 186
-171 133 188 127 95
-172 187 133 126 94
-173 103 181 87 109
-174 100 182 84 109
-175 101 184 86 108
-176 102 183 85 108
-177 89 181 107 142
-178 88 104 182 142
-179 91 106 184 141
-180 90 105 183 141
-181 177 5 149 173
-182 178 4 150 174
-183 176 2 180 152
-184 3 179 151 175
-185 165 2 157 169
-186 3 168 158 170
-187 167 4 160 172
-188 166 5 159 171
-189 145 4 162 153
-190 156 146 5 161
-191 155 2 148 164
-192 154 3 147 163
0