Graph forms
for C4 [ 192, 214 ] = SS[192,114]
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On this page are computer-accessible forms for the graph C4[ 192, 214 ] =
SS[192,114].
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {156, 157}, {180, 181}, {1, 3}, {156, 158}, {13, 15}, {1, 2},
{156, 159}, {13, 14}, {1, 5}, {155, 159}, {153, 157}, {130, 134}, {1, 4}, {179,
182}, {131, 134}, {10, 15}, {129, 135}, {152, 158}, {9, 14}, {154, 157}, {128,
135}, {151, 158}, {180, 189}, {176, 186}, {36, 47}, {178, 185}, {148, 159}, {37,
46}, {18, 30}, {19, 31}, {96, 108}, {97, 109}, {98, 110}, {34, 47}, {179, 190},
{178, 191}, {177, 188}, {35, 46}, {98, 111}, {118, 123}, {119, 122}, {48, 62},
{112, 126}, {113, 127}, {118, 120}, {119, 121}, {16, 31}, {176, 191}, {49, 62},
{38, 54}, {174, 190}, {173, 189}, {171, 187}, {131, 147}, {130, 146}, {47, 63},
{43, 59}, {99, 115}, {100, 116}, {6, 23}, {171, 186}, {46, 63}, {33, 48}, {32,
49}, {15, 30}, {7, 22}, {7, 21}, {39, 53}, {10, 24}, {9, 27}, {8, 26}, {7, 20},
{170, 185}, {129, 146}, {75, 88}, {74, 89}, {8, 27}, {110, 125}, {111, 124},
{128, 147}, {6, 18}, {175, 187}, {172, 184}, {162, 182}, {45, 57}, {41, 61},
{38, 50}, {8, 28}, {7, 19}, {77, 89}, {101, 113}, {104, 124}, {105, 125}, {8,
29}, {12, 25}, {77, 88}, {96, 117}, {97, 116}, {101, 112}, {10, 28}, {174, 184},
{170, 188}, {161, 183}, {44, 58}, {42, 60}, {12, 26}, {11, 29}, {99, 117}, {100,
114}, {32, 56}, {69, 93}, {68, 92}, {37, 61}, {36, 60}, {35, 59}, {34, 58}, {33,
57}, {102, 126}, {103, 127}, {12, 21}, {165, 188}, {71, 94}, {70, 95}, {42, 51},
{9, 19}, {173, 183}, {76, 86}, {64, 90}, {11, 17}, {9, 18}, {172, 183}, {163,
184}, {64, 91}, {76, 87}, {10, 22}, {169, 181}, {66, 94}, {65, 93}, {13, 17},
{12, 16}, {11, 23}, {13, 16}, {168, 181}, {167, 186}, {166, 187}, {164, 185},
{66, 95}, {65, 92}, {41, 52}, {40, 53}, {6, 24}, {73, 87}, {72, 86}, {69, 91},
{68, 90}, {6, 25}, {169, 182}, {160, 191}, {45, 50}, {44, 51}, {43, 52}, {40,
55}, {39, 56}, {11, 20}, {84, 116}, {158, 190}, {157, 189}, {83, 114}, {149,
180}, {136, 169}, {67, 97}, {137, 171}, {82, 112}, {67, 96}, {137, 170}, {78,
109}, {79, 108}, {84, 119}, {85, 118}, {82, 118}, {140, 168}, {139, 175}, {136,
172}, {83, 119}, {85, 113}, {78, 107}, {139, 174}, {79, 106}, {70, 96}, {139,
173}, {71, 97}, {83, 117}, {84, 115}, {151, 176}, {75, 99}, {155, 179}, {143,
167}, {142, 166}, {132, 172}, {30, 55}, {152, 177}, {31, 54}, {14, 36}, {72,
98}, {91, 113}, {14, 37}, {153, 178}, {143, 164}, {142, 165}, {73, 101}, {133,
169}, {92, 112}, {94, 115}, {140, 161}, {135, 170}, {134, 171}, {95, 114}, {15,
33}, {141, 163}, {74, 100}, {30, 49}, {141, 162}, {31, 48}, {16, 32}, {25, 41},
{21, 37}, {87, 103}, {27, 42}, {144, 161}, {29, 44}, {28, 45}, {87, 102}, {17,
35}, {145, 163}, {144, 162}, {27, 41}, {88, 106}, {89, 107}, {17, 34}, {151,
164}, {24, 43}, {20, 39}, {91, 104}, {93, 110}, {18, 38}, {150, 162}, {149,
161}, {28, 40}, {20, 33}, {154, 175}, {149, 160}, {147, 166}, {146, 167}, {22,
35}, {88, 109}, {89, 108}, {90, 111}, {92, 105}, {94, 107}, {95, 106}, {29, 43},
{150, 160}, {23, 32}, {147, 164}, {146, 165}, {80, 103}, {81, 102}, {138, 178},
{155, 163}, {150, 174}, {21, 44}, {148, 173}, {145, 168}, {138, 179}, {80, 105},
{81, 104}, {23, 45}, {19, 40}, {139, 176}, {138, 177}, {25, 34}, {85, 110}, {93,
102}, {22, 42}, {156, 160}, {148, 168}, {26, 38}, {24, 36}, {26, 39}, {82, 111},
{90, 103}, {86, 104}, {153, 167}, {152, 166}, {138, 180}, {86, 105}, {154, 165},
{62, 101}, {63, 100}, {62, 98}, {63, 99}, {159, 192}, {46, 67}, {47, 66}, {175,
192}, {48, 64}, {59, 75}, {58, 74}, {57, 73}, {51, 67}, {49, 65}, {56, 73},
{177, 192}, {54, 68}, {55, 69}, {50, 65}, {53, 64}, {52, 66}, {60, 75}, {61,
74}, {52, 77}, {53, 76}, {61, 71}, {60, 71}, {56, 68}, {58, 70}, {57, 69}, {59,
70}, {50, 76}, {54, 72}, {51, 77}, {55, 72}, {5, 181}, {4, 182}, {4, 183}, {2,
186}, {3, 187}, {3, 185}, {4, 191}, {3, 190}, {5, 184}, {2, 188}, {2, 189}, {78,
143}, {79, 142}, {5, 192}, {79, 137}, {78, 137}, {80, 136}, {81, 136}, {85,
140}, {84, 143}, {80, 141}, {81, 140}, {83, 142}, {82, 141}, {121, 153}, {122,
154}, {121, 152}, {120, 155}, {106, 129}, {107, 128}, {124, 144}, {120, 149},
{122, 151}, {123, 150}, {125, 144}, {127, 145}, {108, 131}, {109, 130}, {123,
148}, {126, 145}, {114, 128}, {115, 129}, {116, 131}, {117, 130}, {124, 132},
{125, 133}, {126, 133}, {127, 132}, {122, 134}, {120, 133}, {121, 135}, {123,
132} }>;
(II) A more general form is to represent the graph as the orbit of {156, 157}
under the group generated by the following permutations:
a: (1, 6)(2, 18)(3, 23)(4, 24)(5, 25)(7, 156)(8, 138)(9, 189)(10, 191)(11,
190)(12, 192)(13, 139)(14, 173)(15, 176)(16, 175)(17, 174)(19, 157)(20, 158)(21,
159)(22, 160)(26, 177)(27, 180)(28, 178)(29, 179)(30, 186)(31, 154)(32, 187)(33,
151)(34, 184)(35, 150)(36, 183)(37, 148)(38, 188)(39, 152)(40, 153)(41, 181)(42,
149)(43, 182)(44, 155)(45, 185)(46, 123)(47, 172)(48, 122)(49, 171)(50, 170)(51,
120)(52, 169)(53, 121)(54, 165)(55, 167)(56, 166)(57, 164)(58, 163)(59, 162)(60,
161)(61, 168)(62, 134)(63, 132)(64, 119)(65, 137)(66, 136)(67, 118)(68, 142)(69,
143)(70, 141)(71, 140)(72, 146)(73, 147)(74, 145)(75, 144)(76, 135)(77, 133)(78,
93)(79, 92)(80, 95)(81, 94)(82, 96)(83, 90)(84, 91)(85, 97)(86, 129)(87,
128)(88, 125)(89, 126)(98, 130)(99, 124)(100, 127)(101, 131)(102, 107)(103,
114)(104, 115)(105, 106)(108, 112)(109, 110)(111, 117)(113, 116) (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, 3)(6, 7)(10, 12)(15, 16)(18, 19)(20, 23)(21, 24)(22, 25)(26, 28)(30,
31)(32, 33)(34, 35)(36, 37)(38, 40)(39, 45)(41, 42)(43, 44)(46, 47)(48, 49)(50,
53)(51, 52)(54, 55)(56, 57)(58, 59)(60, 61)(64, 65)(66, 67)(68, 69)(74, 75)(80,
81)(82, 85)(88, 89)(90, 93)(91, 92)(94, 97)(95, 96)(99, 100)(102, 103)(104,
105)(106, 108)(107, 109)(110, 111)(112, 113)(114, 117)(115, 116)(120, 123)(121,
122)(124, 125)(126, 127)(128, 130)(129, 131)(132, 133)(134, 135)(138, 139)(140,
141)(146, 147)(148, 155)(149, 150)(151, 153)(152, 154)(157, 158)(161, 162)(163,
168)(164, 167)(165, 166)(169, 172)(170, 171)(173, 179)(174, 180)(175, 177)(176,
178)(181, 184)(182, 183)(185, 186)(187, 188)(189, 190)
c: (2, 4, 3, 5)(6, 7)(9, 12, 11, 10)(14, 16, 17, 15)(18, 21, 23, 22)(19, 25, 20,
24)(26, 29, 28, 27)(30, 37, 32, 35)(31, 34, 33, 36)(38, 44, 45, 42)(39, 43, 40,
41)(46, 49)(47, 48)(50, 51)(52, 53)(54, 58, 57, 60)(55, 61, 56, 59)(62, 63)(64,
66)(65, 67)(68, 70, 69, 71)(72, 74, 73, 75)(76, 77)(78, 80, 79, 81)(82, 83, 85,
84)(86, 89, 87, 88)(90, 95, 91, 94)(92, 96, 93, 97)(98, 100, 101, 99)(102, 109,
105, 108)(103, 106, 104, 107)(110, 116, 112, 117)(111, 114, 113, 115)(118,
119)(120, 122)(121, 123)(124, 128, 127, 129)(125, 131, 126, 130)(132, 135)(133,
134)(136, 137)(138, 139)(140, 143, 141, 142)(144, 147, 145, 146)(148, 153, 150,
152)(149, 151, 155, 154)(157, 160, 158, 159)(161, 164, 163, 165)(162, 166, 168,
167)(169, 171)(170, 172)(173, 178, 174, 177)(175, 180, 176, 179)(181, 186, 182,
187)(183, 185, 184, 188)(189, 191, 190, 192)
d: (1, 9)(2, 18)(3, 19)(4, 27)(5, 14)(6, 189)(7, 190)(8, 191)(10, 138)(11,
156)(12, 139)(13, 192)(15, 177)(16, 175)(17, 159)(20, 158)(21, 174)(22, 179)(23,
157)(24, 180)(25, 173)(26, 176)(28, 178)(29, 160)(30, 188)(31, 187)(32, 154)(33,
152)(34, 148)(35, 155)(36, 181)(37, 184)(38, 186)(39, 151)(40, 185)(41, 183)(42,
182)(43, 149)(44, 150)(45, 153)(46, 163)(47, 168)(48, 166)(49, 165)(50, 167)(51,
162)(52, 161)(53, 164)(54, 171)(55, 170)(56, 122)(57, 121)(58, 123)(59, 120)(60,
169)(61, 172)(62, 142)(63, 145)(64, 147)(65, 146)(66, 140)(67, 141)(68, 134)(69,
135)(70, 118)(71, 136)(72, 137)(73, 119)(74, 132)(75, 133)(76, 143)(77, 144)(78,
86)(79, 98)(80, 97)(81, 94)(82, 96)(83, 101)(84, 87)(85, 95)(88, 125)(89,
124)(90, 131)(91, 128)(92, 130)(93, 129)(99, 126)(100, 127)(102, 115)(103,
116)(104, 107)(105, 109)(106, 110)(108, 111)(112, 117)(113, 114)
e: (1, 30)(2, 18)(3, 15)(4, 55)(5, 49)(6, 188)(7, 151)(8, 153)(9, 186)(10,
185)(11, 152)(12, 154)(13, 187)(14, 171)(16, 175)(17, 166)(19, 176)(20, 158)(21,
122)(22, 164)(23, 177)(24, 170)(25, 165)(26, 157)(27, 167)(28, 178)(29, 121)(31,
139)(32, 192)(33, 190)(34, 142)(35, 147)(36, 137)(37, 134)(38, 189)(39, 156)(40,
191)(41, 146)(42, 143)(43, 135)(44, 119)(45, 138)(46, 131)(47, 79)(48, 174)(50,
180)(51, 84)(52, 129)(53, 160)(54, 173)(56, 159)(57, 179)(58, 83)(59, 128)(60,
78)(61, 130)(62, 184)(63, 108)(64, 150)(65, 181)(66, 106)(67, 116)(68, 148)(69,
182)(70, 114)(71, 109)(72, 183)(73, 155)(74, 117)(75, 107)(76, 149)(77, 115)(80,
85)(81, 125)(82, 127)(86, 161)(87, 120)(88, 94)(89, 99)(90, 123)(91, 162)(92,
168)(93, 169)(96, 100)(98, 172)(101, 163)(102, 133)(103, 118)(104, 144)(105,
140)(110, 136)(111, 132)(112, 145)(113, 141)
f: (4, 5)(6, 7)(9, 11)(14, 17)(18, 20)(19, 23)(21, 25)(22, 24)(27, 29)(30,
33)(31, 32)(34, 37)(35, 36)(38, 39)(40, 45)(41, 44)(42, 43)(46, 47)(48, 49)(50,
53)(51, 52)(54, 56)(55, 57)(58, 61)(59, 60)(64, 65)(66, 67)(70, 71)(72, 73)(78,
79)(83, 84)(86, 87)(90, 92)(91, 93)(94, 96)(95, 97)(98, 101)(102, 104)(103,
105)(106, 109)(107, 108)(110, 113)(111, 112)(114, 116)(115, 117)(120, 123)(121,
122)(124, 126)(125, 127)(128, 131)(129, 130)(132, 133)(134, 135)(138, 139)(142,
143)(144, 145)(148, 149)(150, 155)(151, 152)(153, 154)(159, 160)(161, 168)(162,
163)(164, 166)(165, 167)(169, 172)(170, 171)(173, 180)(174, 179)(175, 178)(176,
177)(181, 183)(182, 184)(185, 187)(186, 188)(191, 192)
g: (1, 8)(2, 29, 3, 27)(4, 28, 5, 26)(6, 139)(7, 138)(9, 189, 11, 190)(10, 192,
12, 191)(13, 156)(14, 157, 17, 158)(15, 159, 16, 160)(18, 173, 23, 174)(19, 180,
20, 179)(21, 178, 22, 177)(24, 175, 25, 176)(30, 148, 32, 150)(31, 149, 33,
155)(34, 151, 36, 154)(35, 152, 37, 153)(38, 183, 45, 184)(39, 182, 40, 181)(41,
186, 43, 187)(42, 188, 44, 185)(46, 121)(47, 122)(48, 120)(49, 123)(50, 172)(51,
170)(52, 171)(53, 169)(54, 161, 57, 163)(55, 168, 56, 162)(58, 164, 60, 165)(59,
166, 61, 167)(62, 118)(63, 119)(64, 133)(65, 132)(66, 134)(67, 135)(68, 144, 69,
145)(70, 147, 71, 146)(72, 140, 73, 141)(74, 143, 75, 142)(76, 136)(77, 137)(78,
88, 79, 89)(80, 86, 81, 87)(82, 98, 85, 101)(83, 100, 84, 99)(90, 125, 91,
126)(92, 124, 93, 127)(94, 130, 95, 131)(96, 128, 97, 129)(102, 103, 105,
104)(106, 108, 107, 109)(110, 113, 112, 111)(114, 116, 115, 117)
C4[ 192, 214 ]
192
-1 2 3 4 5
-2 1 188 189 186
-3 187 1 190 185
-4 1 191 182 183
-5 1 181 192 184
-6 23 24 25 18
-7 22 19 20 21
-8 26 27 28 29
-9 14 27 18 19
-10 22 24 15 28
-11 23 17 29 20
-12 25 26 16 21
-13 14 15 16 17
-14 13 36 37 9
-15 33 13 30 10
-16 12 13 31 32
-17 11 34 13 35
-18 38 6 30 9
-19 7 40 9 31
-20 11 33 39 7
-21 44 12 37 7
-22 35 7 42 10
-23 11 45 6 32
-24 36 6 10 43
-25 12 34 6 41
-26 12 38 39 8
-27 8 41 9 42
-28 45 40 8 10
-29 11 44 8 43
-30 55 15 49 18
-31 48 16 19 54
-32 23 56 16 49
-33 57 15 48 20
-34 25 47 58 17
-35 22 46 59 17
-36 24 14 47 60
-37 46 14 61 21
-38 26 50 18 54
-39 56 26 20 53
-40 55 28 19 53
-41 25 27 61 52
-42 22 27 60 51
-43 24 59 29 52
-44 58 29 51 21
-45 23 57 28 50
-46 67 35 37 63
-47 66 34 36 63
-48 33 62 31 64
-49 62 30 32 65
-50 45 38 65 76
-51 44 77 67 42
-52 66 77 41 43
-53 39 40 64 76
-54 68 38 72 31
-55 69 72 40 30
-56 68 39 73 32
-57 33 45 69 73
-58 44 34 70 74
-59 35 70 75 43
-60 36 71 42 75
-61 37 71 41 74
-62 101 48 49 98
-63 99 100 46 47
-64 90 91 48 53
-65 92 49 93 50
-66 47 94 95 52
-67 46 51 96 97
-68 56 90 92 54
-69 55 57 91 93
-70 58 59 95 96
-71 60 61 94 97
-72 55 86 54 98
-73 56 57 101 87
-74 89 100 58 61
-75 88 99 59 60
-76 50 53 86 87
-77 88 89 51 52
-78 143 137 107 109
-79 137 106 108 142
-80 103 136 105 141
-81 102 136 104 140
-82 111 112 118 141
-83 114 117 119 142
-84 143 115 116 119
-85 110 113 118 140
-86 104 72 105 76
-87 102 103 73 76
-88 77 106 75 109
-89 77 74 107 108
-90 111 68 103 64
-91 69 113 104 64
-92 68 112 105 65
-93 110 69 102 65
-94 66 71 115 107
-95 66 70 114 106
-96 67 70 117 108
-97 67 71 116 109
-98 110 111 72 62
-99 115 117 63 75
-100 114 116 63 74
-101 112 113 62 73
-102 81 93 126 87
-103 90 80 127 87
-104 91 124 81 86
-105 80 92 125 86
-106 88 79 95 129
-107 78 89 94 128
-108 89 79 96 131
-109 88 78 97 130
-110 125 93 85 98
-111 90 124 82 98
-112 101 92 82 126
-113 101 91 127 85
-114 100 83 95 128
-115 99 94 84 129
-116 100 84 97 131
-117 99 83 96 130
-118 123 82 85 120
-119 121 122 83 84
-120 133 155 149 118
-121 135 119 152 153
-122 154 134 151 119
-123 132 148 150 118
-124 132 111 144 104
-125 110 133 144 105
-126 133 112 145 102
-127 132 145 113 103
-128 135 114 147 107
-129 135 146 115 106
-130 134 146 117 109
-131 134 147 116 108
-132 123 124 127 172
-133 125 169 126 120
-134 122 171 130 131
-135 121 170 128 129
-136 80 81 169 172
-137 78 79 170 171
-138 177 178 179 180
-139 176 173 174 175
-140 168 81 161 85
-141 80 82 162 163
-142 165 166 79 83
-143 78 167 84 164
-144 124 125 161 162
-145 168 126 127 163
-146 165 167 129 130
-147 166 128 131 164
-148 123 168 159 173
-149 180 160 161 120
-150 123 160 162 174
-151 176 122 158 164
-152 121 166 177 158
-153 121 167 178 157
-154 165 122 157 175
-155 179 159 163 120
-156 157 158 159 160
-157 154 156 189 153
-158 156 190 151 152
-159 155 156 148 192
-160 156 191 149 150
-161 144 149 183 140
-162 144 182 150 141
-163 155 145 184 141
-164 143 147 151 185
-165 154 188 146 142
-166 187 147 152 142
-167 143 146 153 186
-168 145 148 181 140
-169 133 136 181 182
-170 188 135 137 185
-171 187 134 137 186
-172 132 136 183 184
-173 189 148 139 183
-174 190 139 150 184
-175 154 187 192 139
-176 191 139 151 186
-177 188 192 138 152
-178 191 138 185 153
-179 155 190 138 182
-180 189 181 138 149
-181 168 169 180 5
-182 179 4 169 162
-183 4 161 172 173
-184 5 172 163 174
-185 178 3 170 164
-186 176 2 167 171
-187 166 3 171 175
-188 165 177 2 170
-189 2 157 180 173
-190 3 179 158 174
-191 176 178 4 160
-192 177 5 159 175
0