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