Graph forms
for C4 [ 192, 207 ] = SS[192,103]
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On this page are computer-accessible forms for the graph C4[ 192, 207 ] =
SS[192,103].
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {162, 163}, {1, 3}, {1, 2}, {180, 183}, {1, 5}, {161, 165}, {1,
4}, {162, 167}, {50, 55}, {96, 101}, {17, 23}, {162, 164}, {49, 55}, {96, 103},
{161, 166}, {16, 24}, {161, 169}, {48, 56}, {20, 28}, {18, 26}, {16, 25}, {181,
188}, {180, 189}, {53, 60}, {51, 58}, {50, 59}, {48, 57}, {18, 27}, {98, 107},
{19, 25}, {162, 168}, {22, 28}, {20, 31}, {179, 184}, {161, 170}, {54, 61}, {53,
62}, {52, 63}, {22, 29}, {21, 30}, {97, 106}, {98, 105}, {100, 111}, {20, 24},
{177, 189}, {49, 60}, {182, 187}, {179, 190}, {54, 59}, {52, 57}, {96, 109},
{97, 108}, {98, 111}, {99, 110}, {19, 29}, {176, 190}, {21, 27}, {99, 109}, {17,
30}, {182, 185}, {181, 186}, {178, 189}, {160, 175}, {50, 61}, {49, 62}, {48,
63}, {96, 113}, {175, 190}, {173, 188}, {169, 184}, {160, 177}, {97, 112}, {98,
115}, {132, 149}, {14, 28}, {13, 30}, {14, 29}, {11, 31}, {100, 112}, {133,
145}, {15, 26}, {174, 187}, {135, 146}, {47, 58}, {97, 116}, {131, 150}, {13,
27}, {47, 56}, {172, 187}, {171, 188}, {134, 145}, {128, 151}, {129, 150}, {130,
149}, {15, 23}, {99, 123}, {138, 147}, {163, 186}, {136, 146}, {100, 121}, {170,
183}, {164, 185}, {137, 148}, {100, 122}, {99, 124}, {168, 183}, {167, 184},
{166, 185}, {165, 186}, {140, 147}, {139, 148}, {15, 46}, {143, 174}, {68, 101},
{81, 112}, {9, 43}, {141, 175}, {68, 102}, {15, 45}, {12, 46}, {11, 41}, {10,
40}, {89, 122}, {143, 172}, {90, 121}, {91, 120}, {67, 103}, {88, 125}, {151,
178}, {93, 120}, {10, 44}, {12, 42}, {11, 45}, {88, 126}, {91, 124}, {151, 176},
{92, 123}, {7, 47}, {87, 127}, {94, 118}, {84, 125}, {152, 177}, {9, 35}, {70,
108}, {11, 33}, {84, 126}, {93, 119}, {94, 116}, {67, 104}, {92, 119}, {94,
117}, {9, 37}, {69, 105}, {12, 32}, {10, 38}, {83, 127}, {93, 113}, {70, 107},
{159, 178}, {94, 115}, {95, 114}, {9, 39}, {12, 34}, {10, 36}, {69, 106}, {159,
176}, {89, 118}, {90, 117}, {93, 114}, {91, 107}, {158, 174}, {19, 34}, {157,
172}, {148, 165}, {22, 39}, {95, 110}, {17, 35}, {19, 33}, {90, 104}, {155,
168}, {158, 173}, {18, 38}, {65, 117}, {20, 32}, {7, 50}, {156, 169}, {147,
166}, {146, 167}, {66, 119}, {17, 36}, {92, 105}, {7, 49}, {157, 171}, {156,
170}, {92, 106}, {7, 48}, {152, 175}, {148, 163}, {147, 164}, {65, 118}, {18,
37}, {91, 108}, {95, 104}, {76, 116}, {149, 173}, {75, 114}, {154, 163}, {145,
168}, {95, 102}, {66, 120}, {150, 172}, {75, 113}, {8, 51}, {149, 174}, {146,
169}, {145, 170}, {144, 171}, {16, 43}, {8, 52}, {155, 167}, {153, 165}, {142,
178}, {21, 41}, {16, 44}, {82, 110}, {89, 101}, {8, 53}, {150, 171}, {144, 173},
{141, 176}, {64, 125}, {90, 103}, {8, 54}, {154, 164}, {22, 40}, {81, 111}, {21,
42}, {153, 166}, {142, 177}, {76, 115}, {64, 127}, {82, 109}, {89, 102}, {63,
126}, {56, 123}, {23, 83}, {56, 124}, {29, 85}, {28, 86}, {25, 85}, {30, 83},
{55, 122}, {24, 86}, {55, 121}, {26, 84}, {27, 84}, {31, 74}, {31, 67}, {37,
69}, {44, 76}, {38, 71}, {46, 79}, {44, 77}, {36, 70}, {32, 67}, {38, 69}, {36,
71}, {33, 68}, {46, 75}, {43, 78}, {42, 79}, {40, 77}, {35, 70}, {34, 68}, {45,
75}, {43, 76}, {32, 73}, {39, 78}, {33, 74}, {35, 72}, {34, 73}, {37, 72}, {47,
64}, {51, 66}, {51, 64}, {53, 65}, {39, 81}, {52, 66}, {54, 65}, {42, 82}, {40,
81}, {41, 80}, {41, 82}, {45, 80}, {26, 191}, {23, 191}, {6, 182}, {60, 140},
{57, 136}, {59, 138}, {5, 183}, {59, 137}, {6, 180}, {6, 181}, {6, 179}, {60,
139}, {2, 186}, {14, 182}, {5, 189}, {3, 187}, {13, 180}, {61, 132}, {3, 185},
{5, 191}, {4, 190}, {4, 191}, {14, 181}, {4, 184}, {58, 135}, {62, 131}, {2,
188}, {13, 179}, {57, 134}, {63, 128}, {62, 129}, {61, 130}, {58, 133}, {72,
137}, {73, 136}, {2, 192}, {72, 138}, {3, 192}, {79, 140}, {77, 136}, {79, 138},
{78, 134}, {77, 135}, {71, 140}, {78, 133}, {71, 139}, {74, 135}, {73, 134},
{74, 133}, {111, 160}, {86, 132}, {83, 128}, {87, 132}, {115, 160}, {85, 129},
{87, 131}, {86, 131}, {85, 130}, {87, 128}, {24, 192}, {25, 192}, {80, 137},
{88, 129}, {88, 130}, {80, 139}, {108, 143}, {120, 155}, {121, 154}, {122, 153},
{104, 141}, {106, 143}, {125, 152}, {123, 156}, {124, 155}, {127, 152}, {103,
142}, {126, 151}, {101, 142}, {102, 141}, {116, 159}, {119, 156}, {112, 159},
{113, 158}, {114, 157}, {117, 154}, {118, 153}, {109, 158}, {110, 157}, {105,
144}, {107, 144} }>;
(II) A more general form is to represent the graph as the orbit of {162, 163}
under the group generated by the following permutations:
a: (1, 9, 7, 95)(2, 37, 48, 104)(3, 35, 47, 102)(4, 43, 50, 110)(5, 39, 49,
114)(6, 10, 8, 96)(11, 161, 97, 87)(12, 162, 98, 88)(13, 77, 65, 158)(14, 71,
66, 142)(15, 145, 100, 150)(16, 59, 99, 190)(17, 58, 89, 187)(18, 57, 90,
188)(19, 147, 91, 152)(20, 148, 92, 151)(21, 146, 94, 149)(22, 60, 93, 189)(23,
133, 122, 172)(24, 137, 123, 176)(25, 138, 124, 175)(26, 134, 121, 171)(27, 136,
117, 173)(28, 139, 119, 178)(29, 140, 120, 177)(30, 135, 118, 174)(31, 165, 106,
128)(32, 163, 105, 126)(33, 166, 108, 127)(34, 164, 107, 125)(36, 51, 101,
182)(38, 52, 103, 181)(40, 53, 113, 180)(41, 169, 116, 132)(42, 167, 115,
130)(44, 54, 109, 179)(45, 170, 112, 131)(46, 168, 111, 129)(55, 157, 191,
78)(56, 141, 192, 72)(61, 82, 184, 76)(62, 75, 183, 81)(63, 67, 186, 69)(64, 68,
185, 70)(73, 154, 144, 84)(74, 153, 143, 83)(79, 155, 160, 85)(80, 156, 159,
86) (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: (4, 5)(9, 10)(35, 36)(37, 38)(39, 40)(43, 44)(49, 50)(53, 54)(59, 60)(61,
62)(71, 72)(77, 78)(95, 96)(101, 102)(103, 104)(109, 110)(113, 114)(129,
130)(131, 132)(133, 135)(134, 136)(137, 139)(138, 140)(141, 142)(145, 146)(149,
150)(157, 158)(167, 168)(169, 170)(171, 173)(172, 174)(175, 177)(176, 178)(179,
180)(183, 184)(189, 190)
c: (1, 13, 15, 82, 93, 56, 8, 55, 94, 81, 16, 14)(2, 179, 23, 41, 114, 124, 51,
49, 117, 111, 44, 28)(3, 180, 26, 42, 113, 123, 52, 50, 118, 112, 43, 29)(4, 30,
45, 110, 120, 47, 53, 121, 115, 40, 24, 181)(5, 27, 46, 109, 119, 48, 54, 122,
116, 39, 25, 182)(6, 191, 21, 75, 99, 66, 7, 65, 100, 76, 22, 192)(9, 19, 187,
183, 84, 79, 96, 92, 57, 61, 153, 159)(10, 20, 188, 184, 83, 80, 95, 91, 58, 62,
154, 160)(11, 157, 155, 64, 60, 90, 98, 77, 86, 186, 190, 17)(12, 158, 156, 63,
59, 89, 97, 78, 85, 185, 189, 18)(31, 171, 167, 127, 139, 104, 107, 135, 131,
163, 175, 36)(32, 173, 169, 128, 137, 102, 108, 133, 129, 164, 177, 38)(33, 172,
168, 125, 140, 103, 105, 136, 132, 165, 176, 35)(34, 174, 170, 126, 138, 101,
106, 134, 130, 166, 178, 37)(67, 144, 146, 87, 148, 141, 70, 74, 150, 162, 152,
71)(68, 143, 145, 88, 147, 142, 69, 73, 149, 161, 151, 72)
d: (2, 5)(3, 4)(9, 11)(10, 12)(13, 14)(15, 16)(17, 20)(18, 19)(21, 22)(23,
24)(25, 26)(27, 29)(28, 30)(31, 35)(32, 36)(33, 37)(34, 38)(39, 41)(40, 42)(43,
45)(44, 46)(47, 50)(48, 49)(51, 54)(52, 53)(55, 56)(57, 60)(58, 59)(61, 64)(62,
63)(65, 66)(67, 70)(68, 69)(71, 73)(72, 74)(75, 76)(77, 79)(78, 80)(81, 82)(83,
86)(84, 85)(89, 92)(90, 91)(93, 94)(95, 97)(96, 98)(99, 100)(101, 105)(102,
106)(103, 107)(104, 108)(109, 111)(110, 112)(113, 115)(114, 116)(117, 120)(118,
119)(121, 124)(122, 123)(125, 130)(126, 129)(127, 132)(128, 131)(133, 137)(134,
139)(135, 138)(136, 140)(141, 143)(142, 144)(145, 148)(146, 147)(149, 152)(150,
151)(153, 156)(154, 155)(157, 159)(158, 160)(163, 168)(164, 167)(165, 170)(166,
169)(171, 178)(172, 176)(173, 177)(174, 175)(179, 182)(180, 181)(183, 186)(184,
185)(187, 190)(188, 189)(191, 192)
e: (2, 3)(11, 12)(31, 32)(33, 34)(41, 42)(45, 46)(47, 48)(51, 52)(57, 58)(63,
64)(73, 74)(79, 80)(97, 98)(105, 106)(107, 108)(111, 112)(115, 116)(125,
126)(127, 128)(133, 134)(135, 136)(137, 138)(139, 140)(143, 144)(147, 148)(151,
152)(159, 160)(163, 164)(165, 166)(171, 172)(173, 174)(175, 176)(177, 178)(181,
182)(185, 186)(187, 188)
f: (1, 7)(2, 48)(3, 47)(4, 50)(5, 49)(6, 8)(9, 95)(10, 96)(11, 97)(12, 98)(13,
65)(14, 66)(15, 100)(16, 99)(17, 90)(18, 89)(19, 92)(20, 91)(21, 94)(22, 93)(23,
121)(24, 124)(25, 123)(26, 122)(27, 118)(28, 120)(29, 119)(30, 117)(31, 108)(32,
107)(33, 106)(34, 105)(35, 104)(36, 103)(37, 102)(38, 101)(39, 114)(40, 113)(41,
116)(42, 115)(43, 110)(44, 109)(45, 112)(46, 111)(51, 182)(52, 181)(53, 180)(54,
179)(55, 191)(56, 192)(57, 188)(58, 187)(59, 190)(60, 189)(61, 184)(62, 183)(63,
186)(64, 185)(67, 70)(68, 69)(71, 142)(72, 141)(73, 144)(74, 143)(75, 81)(76,
82)(77, 158)(78, 157)(79, 160)(80, 159)(83, 154)(84, 153)(85, 156)(86, 155)(87,
162)(88, 161)(125, 166)(126, 165)(127, 164)(128, 163)(129, 170)(130, 169)(131,
168)(132, 167)(133, 172)(134, 171)(135, 174)(136, 173)(137, 176)(138, 175)(139,
178)(140, 177)(145, 150)(146, 149)(147, 152)(148, 151)
g: (2, 5)(3, 4)(9, 11)(10, 12)(13, 14)(15, 16)(17, 19)(18, 20)(21, 22)(23,
25)(24, 26)(27, 28)(29, 30)(31, 37)(32, 38)(33, 35)(34, 36)(39, 41)(40, 42)(43,
45)(44, 46)(47, 50)(48, 49)(51, 54)(52, 53)(55, 56)(57, 60)(58, 59)(61, 64)(62,
63)(65, 66)(67, 69)(68, 70)(71, 73)(72, 74)(75, 76)(77, 79)(78, 80)(81, 82)(83,
85)(84, 86)(87, 88)(89, 91)(90, 92)(93, 94)(95, 97)(96, 98)(99, 100)(101,
107)(102, 108)(103, 105)(104, 106)(109, 111)(110, 112)(113, 115)(114, 116)(117,
119)(118, 120)(121, 123)(122, 124)(125, 132)(126, 131)(127, 130)(128, 129)(133,
137)(134, 139)(135, 138)(136, 140)(141, 143)(142, 144)(145, 148)(146, 147)(149,
152)(150, 151)(153, 155)(154, 156)(157, 159)(158, 160)(161, 162)(163, 170)(164,
169)(165, 168)(166, 167)(171, 178)(172, 176)(173, 177)(174, 175)(179, 182)(180,
181)(183, 186)(184, 185)(187, 190)(188, 189)(191, 192)
h: (1, 6)(2, 181)(3, 182)(4, 179)(5, 180)(7, 8)(13, 191)(14, 192)(15, 21)(16,
22)(17, 18)(19, 20)(23, 27)(24, 29)(25, 28)(26, 30)(31, 33)(32, 34)(35, 37)(36,
38)(39, 43)(40, 44)(41, 45)(42, 46)(47, 51)(48, 52)(49, 53)(50, 54)(55, 65)(56,
66)(67, 68)(69, 70)(75, 82)(76, 81)(83, 84)(85, 86)(87, 88)(89, 90)(91, 92)(93,
99)(94, 100)(101, 103)(102, 104)(105, 107)(106, 108)(109, 113)(110, 114)(111,
115)(112, 116)(117, 122)(118, 121)(119, 124)(120, 123)(125, 127)(126, 128)(129,
131)(130, 132)(153, 154)(155, 156)(161, 162)(163, 165)(164, 166)(167, 169)(168,
170)
C4[ 192, 207 ]
192
-1 2 3 4 5
-2 1 188 192 186
-3 187 1 192 185
-4 1 190 191 184
-5 1 189 191 183
-6 179 180 181 182
-7 47 48 49 50
-8 51 52 53 54
-9 35 37 39 43
-10 44 36 38 40
-11 33 45 41 31
-12 34 46 42 32
-13 179 180 27 30
-14 181 28 182 29
-15 23 45 46 26
-16 44 24 25 43
-17 23 35 36 30
-18 26 37 27 38
-19 33 34 25 29
-20 24 28 31 32
-21 27 30 41 42
-22 28 39 29 40
-23 15 191 17 83
-24 16 192 20 86
-25 16 192 19 85
-26 15 191 18 84
-27 13 18 84 21
-28 22 14 20 86
-29 22 14 19 85
-30 13 17 83 21
-31 11 67 74 20
-32 12 67 73 20
-33 11 68 19 74
-34 12 68 73 19
-35 70 17 72 9
-36 70 71 17 10
-37 69 72 18 9
-38 69 71 18 10
-39 22 78 81 9
-40 22 77 81 10
-41 11 80 82 21
-42 12 79 82 21
-43 78 16 9 76
-44 77 16 10 76
-45 11 80 15 75
-46 12 79 15 75
-47 56 58 7 64
-48 56 57 7 63
-49 55 60 7 62
-50 55 59 61 7
-51 66 58 8 64
-52 66 57 8 63
-53 60 62 8 65
-54 59 61 8 65
-55 121 122 49 50
-56 123 47 124 48
-57 134 48 136 52
-58 133 47 135 51
-59 137 50 138 54
-60 49 139 140 53
-61 132 50 130 54
-62 49 129 53 131
-63 48 126 128 52
-64 47 125 127 51
-65 117 118 53 54
-66 51 52 119 120
-67 103 104 31 32
-68 33 34 101 102
-69 37 38 105 106
-70 35 36 107 108
-71 36 38 139 140
-72 35 37 137 138
-73 34 134 136 32
-74 33 133 135 31
-75 45 46 113 114
-76 44 115 116 43
-77 44 135 136 40
-78 133 134 39 43
-79 46 138 140 42
-80 45 137 139 41
-81 111 112 39 40
-82 110 41 42 109
-83 23 127 128 30
-84 26 125 27 126
-85 25 29 129 130
-86 132 24 28 131
-87 132 127 128 131
-88 125 126 129 130
-89 122 101 102 118
-90 121 103 104 117
-91 124 107 108 120
-92 123 105 106 119
-93 113 114 119 120
-94 115 116 117 118
-95 110 102 114 104
-96 101 113 103 109
-97 112 116 106 108
-98 111 115 105 107
-99 110 123 124 109
-100 121 111 122 112
-101 89 68 96 142
-102 89 68 95 141
-103 67 90 96 142
-104 67 90 95 141
-105 144 69 92 98
-106 143 69 92 97
-107 144 91 70 98
-108 143 91 70 97
-109 99 158 82 96
-110 99 157 82 95
-111 100 81 160 98
-112 100 81 159 97
-113 158 93 96 75
-114 157 93 95 75
-115 94 160 76 98
-116 159 94 97 76
-117 154 90 94 65
-118 89 94 65 153
-119 66 156 92 93
-120 66 155 91 93
-121 55 154 100 90
-122 55 89 100 153
-123 99 56 156 92
-124 99 56 155 91
-125 88 84 64 152
-126 88 84 63 151
-127 83 64 152 87
-128 83 63 151 87
-129 88 62 150 85
-130 88 61 149 85
-131 62 150 86 87
-132 61 149 86 87
-133 78 145 58 74
-134 78 57 145 73
-135 77 58 146 74
-136 77 57 146 73
-137 80 59 148 72
-138 79 59 147 72
-139 80 60 71 148
-140 79 147 60 71
-141 176 102 104 175
-142 177 101 178 103
-143 106 172 108 174
-144 105 171 107 173
-145 133 134 168 170
-146 167 135 136 169
-147 166 138 140 164
-148 165 137 139 163
-149 132 173 130 174
-150 171 172 129 131
-151 176 178 126 128
-152 177 125 127 175
-153 165 122 166 118
-154 121 117 163 164
-155 167 124 168 120
-156 123 169 170 119
-157 110 114 171 172
-158 113 173 174 109
-159 176 112 178 116
-160 111 177 115 175
-161 165 166 169 170
-162 167 168 163 164
-163 154 148 162 186
-164 154 147 162 185
-165 148 161 153 186
-166 147 161 185 153
-167 155 146 162 184
-168 155 145 183 162
-169 156 146 161 184
-170 145 156 161 183
-171 144 188 157 150
-172 143 187 157 150
-173 144 188 158 149
-174 143 187 158 149
-175 190 160 141 152
-176 190 159 151 141
-177 189 160 152 142
-178 189 159 151 142
-179 13 190 6 184
-180 13 189 6 183
-181 188 14 6 186
-182 187 14 6 185
-183 168 180 5 170
-184 167 179 4 169
-185 166 3 182 164
-186 165 2 181 163
-187 3 182 172 174
-188 2 181 171 173
-189 177 178 180 5
-190 176 179 4 175
-191 23 4 26 5
-192 2 24 3 25
0