Graph forms
for C4 [ 192, 198 ] = SS[192,88]
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On this page are computer-accessible forms for the graph C4[ 192, 198 ] =
SS[192,88].
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {6, 7}, {22, 23}, {1, 3}, {49, 51}, {1, 2}, {180, 183}, {1, 5},
{178, 182}, {177, 181}, {49, 53}, {32, 36}, {1, 4}, {144, 149}, {50, 55}, {49,
52}, {34, 39}, {82, 87}, {17, 23}, {144, 150}, {48, 54}, {33, 38}, {176, 183},
{49, 54}, {34, 37}, {20, 28}, {50, 58}, {80, 88}, {81, 89}, {16, 25}, {48, 57},
{32, 41}, {20, 29}, {19, 26}, {18, 24}, {50, 56}, {16, 27}, {179, 184}, {50,
57}, {33, 42}, {21, 30}, {85, 94}, {86, 93}, {6, 10}, {22, 26}, {17, 28}, {19,
30}, {80, 93}, {6, 8}, {144, 158}, {22, 24}, {21, 27}, {82, 92}, {6, 9}, {144,
159}, {48, 63}, {22, 25}, {18, 29}, {81, 94}, {83, 92}, {84, 91}, {165, 181},
{170, 186}, {169, 185}, {166, 182}, {78, 95}, {132, 149}, {72, 90}, {143, 157},
{142, 156}, {74, 89}, {75, 88}, {128, 147}, {135, 148}, {43, 63}, {142, 154},
{77, 89}, {79, 91}, {131, 151}, {79, 90}, {142, 155}, {76, 90}, {45, 58}, {175,
184}, {172, 187}, {171, 188}, {143, 152}, {142, 153}, {47, 56}, {129, 150},
{133, 146}, {134, 145}, {36, 60}, {174, 182}, {173, 181}, {162, 186}, {161,
185}, {143, 151}, {140, 148}, {139, 147}, {46, 55}, {78, 87}, {46, 52}, {47,
53}, {130, 152}, {36, 63}, {38, 61}, {128, 155}, {136, 147}, {137, 146}, {138,
145}, {35, 62}, {65, 92}, {37, 59}, {160, 190}, {64, 94}, {45, 51}, {73, 87},
{66, 93}, {168, 183}, {167, 184}, {164, 187}, {163, 188}, {71, 88}, {157, 189},
{159, 191}, {69, 102}, {156, 191}, {140, 175}, {70, 101}, {130, 166}, {154,
190}, {153, 189}, {138, 174}, {136, 172}, {137, 173}, {129, 167}, {131, 165},
{67, 100}, {152, 191}, {68, 99}, {81, 121}, {150, 190}, {149, 189}, {82, 122},
{141, 164}, {147, 186}, {75, 97}, {80, 123}, {146, 185}, {76, 96}, {141, 161},
{132, 168}, {135, 170}, {145, 188}, {133, 171}, {141, 163}, {77, 98}, {148,
187}, {143, 160}, {141, 162}, {134, 169}, {83, 99}, {84, 100}, {23, 38}, {27,
42}, {79, 124}, {85, 102}, {86, 101}, {29, 40}, {30, 41}, {31, 40}, {25, 35},
{69, 127}, {68, 126}, {28, 39}, {139, 176}, {24, 36}, {31, 35}, {67, 125}, {26,
37}, {79, 112}, {80, 111}, {81, 110}, {82, 109}, {19, 83}, {21, 85}, {20, 84},
{15, 78}, {61, 124}, {15, 77}, {59, 121}, {15, 76}, {59, 120}, {21, 86}, {15,
75}, {18, 86}, {17, 85}, {16, 84}, {62, 123}, {60, 122}, {20, 83}, {60, 117},
{62, 119}, {61, 118}, {34, 114}, {52, 100}, {51, 99}, {32, 115}, {54, 101}, {53,
102}, {33, 116}, {151, 192}, {56, 97}, {58, 96}, {59, 97}, {16, 75}, {155, 192},
{57, 98}, {18, 78}, {62, 98}, {60, 96}, {17, 76}, {19, 77}, {158, 192}, {39,
71}, {8, 105}, {43, 74}, {41, 72}, {39, 70}, {14, 111}, {13, 108}, {10, 107},
{11, 105}, {61, 95}, {40, 74}, {9, 106}, {42, 73}, {35, 64}, {13, 110}, {44,
72}, {63, 91}, {13, 104}, {44, 73}, {14, 107}, {11, 109}, {14, 104}, {12, 106},
{37, 66}, {47, 72}, {45, 74}, {38, 65}, {55, 95}, {46, 71}, {41, 67}, {43, 65},
{7, 108}, {12, 103}, {11, 103}, {44, 64}, {43, 71}, {40, 69}, {31, 113}, {47,
65}, {46, 64}, {44, 66}, {42, 68}, {45, 66}, {8, 120}, {7, 118}, {14, 127}, {12,
126}, {7, 115}, {11, 125}, {8, 113}, {48, 73}, {9, 114}, {12, 112}, {9, 119},
{10, 116}, {10, 117}, {13, 128}, {28, 140}, {23, 134}, {27, 138}, {25, 136},
{29, 139}, {30, 137}, {24, 133}, {26, 135}, {31, 129}, {32, 130}, {33, 131},
{34, 132}, {52, 133}, {54, 135}, {5, 183}, {57, 139}, {58, 137}, {2, 182}, {56,
140}, {51, 134}, {3, 181}, {2, 185}, {4, 191}, {4, 184}, {3, 190}, {55, 138},
{53, 136}, {4, 186}, {5, 187}, {2, 189}, {3, 188}, {67, 131}, {103, 167}, {109,
173}, {69, 132}, {110, 175}, {119, 180}, {108, 168}, {117, 177}, {118, 178}, {5,
192}, {68, 130}, {70, 128}, {70, 129}, {106, 162}, {107, 161}, {120, 179}, {107,
167}, {104, 165}, {105, 164}, {104, 166}, {103, 168}, {105, 166}, {106, 165},
{108, 163}, {111, 160}, {98, 179}, {101, 180}, {96, 178}, {99, 177}, {114, 160},
{97, 180}, {102, 179}, {100, 178}, {122, 163}, {115, 169}, {113, 170}, {121,
162}, {124, 161}, {112, 174}, {114, 172}, {111, 176}, {116, 171}, {123, 164},
{120, 155}, {127, 156}, {124, 152}, {125, 153}, {126, 154}, {116, 159}, {119,
156}, {127, 148}, {113, 157}, {117, 153}, {118, 154}, {125, 145}, {126, 146},
{115, 158}, {122, 151}, {94, 176}, {95, 177}, {112, 158}, {123, 149}, {121,
150}, {90, 171}, {88, 170}, {92, 174}, {93, 175}, {109, 159}, {110, 157}, {89,
172}, {91, 173}, {87, 169} }>;
(II) A more general form is to represent the graph as the orbit of {6, 7}
under the group generated by the following permutations:
a: (1, 16)(2, 25)(3, 75)(4, 27)(5, 84)(6, 45)(7, 74)(8, 51)(9, 58)(10, 66)(11,
54)(12, 57)(13, 65)(14, 72)(15, 190)(17, 143)(18, 144)(19, 142)(20, 192)(21,
191)(22, 189)(23, 157)(24, 149)(26, 153)(28, 151)(29, 158)(30, 156)(31, 169)(32,
69)(33, 175)(34, 60)(35, 185)(36, 132)(37, 117)(38, 110)(39, 122)(40, 115)(41,
127)(42, 184)(43, 108)(44, 107)(46, 141)(47, 104)(48, 103)(49, 105)(50, 106)(52,
164)(53, 166)(55, 162)(56, 165)(59, 177)(61, 81)(62, 146)(63, 168)(64, 161)(67,
148)(68, 179)(70, 82)(71, 163)(73, 167)(76, 160)(77, 154)(78, 150)(79, 176)(80,
171)(83, 155)(85, 152)(86, 159)(87, 129)(88, 188)(89, 118)(90, 111)(91, 183)(92,
128)(93, 116)(94, 124)(95, 121)(96, 114)(97, 181)(98, 126)(99, 120)(100,
187)(101, 109)(102, 130)(112, 139)(113, 134)(119, 137)(123, 133)(125, 135)(131,
140)(136, 182)(138, 186)(145, 170)(147, 174)(172, 178)(173, 180) (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, 5, 3, 4)(7, 9, 10, 8)(11, 13, 12, 14)(16, 18, 19, 17)(20, 21)(23, 25, 24,
26)(27, 29, 30, 28)(31, 32, 34, 33)(35, 36, 37, 38)(39, 42, 40, 41)(43, 44)(45,
47, 46, 48)(51, 53, 52, 54)(55, 57, 58, 56)(59, 61, 62, 60)(63, 66, 65, 64)(67,
70, 68, 69)(71, 73, 74, 72)(75, 78, 77, 76)(79, 80, 82, 81)(83, 85, 84, 86)(87,
89, 90, 88)(91, 93, 92, 94)(95, 98, 96, 97)(99, 102, 100, 101)(103, 104)(105,
108, 106, 107)(109, 110, 112, 111)(113, 115, 114, 116)(117, 120, 118, 119)(121,
124, 123, 122)(125, 128, 126, 127)(129, 130, 132, 131)(133, 135, 134, 136)(137,
140, 138, 139)(143, 144)(145, 147, 146, 148)(149, 151, 150, 152)(153, 155, 154,
156)(157, 158, 160, 159)(161, 164, 163, 162)(165, 167, 166, 168)(169, 172, 171,
170)(173, 175, 174, 176)(177, 179, 178, 180)(181, 184, 182, 183)(185, 187, 188,
186)(189, 192, 190, 191)
c: (1, 35, 92, 190, 98, 38)(2, 31, 83, 154, 179, 23)(3, 62, 65)(4, 25, 174, 150,
77, 61)(5, 64, 82, 160, 57, 33)(6, 140, 133, 105, 39, 137)(7, 175, 24, 166, 70,
30)(8, 28, 146)(9, 56, 171, 164, 71, 173)(10, 148, 52, 11, 34, 58)(12, 59, 76,
161, 170, 84)(13, 86, 32)(14, 54, 67, 168, 66, 60)(15, 124, 186, 16, 112,
121)(17, 185, 113, 20, 126, 120)(18, 130, 128, 21, 115, 110)(19, 118, 184, 22,
182, 129)(26, 178, 167)(27, 158, 81, 78, 152, 147)(29, 68, 155, 85, 169,
157)(36, 104, 101, 41, 108, 93)(37, 96, 107, 135, 100, 103)(40, 99, 142, 102,
134, 189)(42, 192, 94, 87, 143, 139)(43, 181, 119, 47, 188, 123)(44, 122, 111,
48, 131, 183)(45, 117, 127, 49, 125, 132)(46, 109, 114, 50, 116, 187)(51, 153,
69)(53, 145, 149, 74, 177, 156)(55, 159, 172)(63, 165, 180, 72, 163, 80)(73,
151, 176)(75, 79, 162)(88, 91, 106, 97, 90, 141)(89, 95, 191, 136, 138, 144)
d: (2, 3)(4, 5)(7, 10)(8, 9)(11, 12)(13, 14)(16, 19)(17, 18)(23, 24)(25, 26)(27,
30)(28, 29)(31, 34)(32, 33)(35, 37)(36, 38)(39, 40)(41, 42)(45, 46)(47, 48)(51,
52)(53, 54)(55, 58)(56, 57)(59, 62)(60, 61)(63, 65)(64, 66)(67, 68)(69, 70)(71,
74)(72, 73)(75, 77)(76, 78)(79, 82)(80, 81)(83, 84)(85, 86)(87, 90)(88, 89)(91,
92)(93, 94)(95, 96)(97, 98)(99, 100)(101, 102)(105, 106)(107, 108)(109,
112)(110, 111)(113, 114)(115, 116)(117, 118)(119, 120)(121, 123)(122, 124)(125,
126)(127, 128)(129, 132)(130, 131)(133, 134)(135, 136)(137, 138)(139, 140)(145,
146)(147, 148)(149, 150)(151, 152)(153, 154)(155, 156)(157, 160)(158, 159)(161,
163)(162, 164)(165, 166)(167, 168)(169, 171)(170, 172)(173, 174)(175, 176)(177,
178)(179, 180)(181, 182)(183, 184)(185, 188)(186, 187)(189, 190)(191, 192)
e: (1, 6)(2, 8)(3, 9)(4, 7)(5, 10)(11, 149)(12, 150)(13, 152)(14, 151)(15,
49)(16, 46)(17, 48)(18, 47)(19, 45)(20, 43)(21, 44)(22, 50)(23, 57)(24, 56)(25,
55)(26, 58)(27, 64)(28, 63)(29, 65)(30, 66)(31, 174)(32, 175)(33, 176)(34,
173)(35, 138)(36, 140)(37, 137)(38, 139)(39, 91)(40, 92)(41, 93)(42, 94)(51,
77)(52, 75)(53, 78)(54, 76)(59, 146)(60, 148)(61, 147)(62, 145)(67, 80)(68,
81)(69, 82)(70, 79)(71, 84)(72, 86)(73, 85)(74, 83)(87, 102)(88, 100)(89,
99)(90, 101)(95, 136)(96, 135)(97, 133)(98, 134)(103, 144)(104, 143)(105,
189)(106, 190)(107, 192)(108, 191)(109, 132)(110, 130)(111, 131)(112, 129)(113,
182)(114, 181)(115, 184)(116, 183)(117, 187)(118, 186)(119, 188)(120, 185)(121,
126)(122, 127)(123, 125)(124, 128)(141, 142)(153, 164)(154, 162)(155, 161)(156,
163)(157, 166)(158, 167)(159, 168)(160, 165)(169, 179)(170, 178)(171, 180)(172,
177)
f: (1, 15)(2, 78, 3, 76)(4, 75, 5, 77)(6, 49)(7, 51, 10, 52)(8, 54, 9, 53)(11,
63, 12, 65)(13, 66, 14, 64)(16, 192, 19, 191)(17, 189, 18, 190)(20, 144)(21,
143)(22, 142)(23, 153, 24, 154)(25, 155, 26, 156)(27, 151, 30, 152)(28, 149, 29,
150)(31, 70, 34, 69)(32, 68, 33, 67)(35, 128, 37, 127)(36, 126, 38, 125)(39,
132, 40, 129)(41, 130, 42, 131)(43, 103)(44, 104)(45, 107, 46, 108)(47, 105, 48,
106)(50, 141)(55, 163, 58, 161)(56, 164, 57, 162)(59, 148, 62, 147)(60, 146, 61,
145)(71, 168, 74, 167)(72, 166, 73, 165)(79, 174, 82, 173)(80, 176, 81, 175)(83,
159, 84, 158)(85, 157, 86, 160)(87, 181, 90, 182)(88, 183, 89, 184)(91, 112, 92,
109)(93, 111, 94, 110)(95, 188, 96, 185)(97, 187, 98, 186)(99, 116, 100,
115)(101, 114, 102, 113)(117, 133, 118, 134)(119, 136, 120, 135)(121, 140, 123,
139)(122, 137, 124, 138)(169, 177, 171, 178)(170, 180, 172, 179)
C4[ 192, 198 ]
192
-1 2 3 4 5
-2 1 189 182 185
-3 1 188 190 181
-4 1 191 184 186
-5 187 1 192 183
-6 7 8 9 10
-7 115 6 118 108
-8 113 6 105 120
-9 114 6 106 119
-10 6 116 117 107
-11 103 125 105 109
-12 112 103 126 106
-13 110 104 128 108
-14 111 104 127 107
-15 77 78 75 76
-16 25 27 84 75
-17 23 28 85 76
-18 78 24 29 86
-19 77 26 83 30
-20 28 83 29 84
-21 27 30 85 86
-22 23 24 25 26
-23 22 134 38 17
-24 22 133 36 18
-25 22 35 136 16
-26 22 135 37 19
-27 16 138 42 21
-28 17 39 140 20
-29 18 40 139 20
-30 137 19 41 21
-31 35 113 40 129
-32 36 115 41 130
-33 38 116 42 131
-34 132 37 114 39
-35 25 62 31 64
-36 24 60 63 32
-37 66 34 26 59
-38 33 23 61 65
-39 34 70 71 28
-40 69 29 74 31
-41 67 72 30 32
-42 33 68 27 73
-43 71 63 74 65
-44 66 72 73 64
-45 66 58 51 74
-46 55 71 52 64
-47 56 72 53 65
-48 57 73 63 54
-49 51 52 53 54
-50 55 56 57 58
-51 99 45 134 49
-52 100 133 46 49
-53 47 102 136 49
-54 101 135 48 49
-55 46 50 138 95
-56 47 50 140 97
-57 48 50 139 98
-58 45 137 50 96
-59 121 37 97 120
-60 122 36 117 96
-61 124 38 95 118
-62 35 123 119 98
-63 36 91 48 43
-64 44 35 46 94
-65 47 92 38 43
-66 44 45 37 93
-67 100 125 41 131
-68 99 126 42 130
-69 132 102 127 40
-70 101 39 128 129
-71 88 46 39 43
-72 44 90 47 41
-73 44 48 42 87
-74 45 89 40 43
-75 88 15 16 97
-76 90 15 17 96
-77 89 15 19 98
-78 15 18 95 87
-79 90 112 91 124
-80 88 111 123 93
-81 110 121 89 94
-82 122 92 87 109
-83 99 92 19 20
-84 100 91 16 20
-85 102 17 94 21
-86 101 93 18 21
-87 78 169 82 73
-88 80 71 170 75
-89 77 81 172 74
-90 79 72 171 76
-91 79 84 63 173
-92 82 83 174 65
-93 66 80 86 175
-94 176 81 85 64
-95 55 78 177 61
-96 178 58 60 76
-97 56 59 180 75
-98 77 57 179 62
-99 177 68 83 51
-100 67 178 84 52
-101 70 180 86 54
-102 69 179 85 53
-103 11 12 167 168
-104 165 166 13 14
-105 11 166 8 164
-106 165 12 162 9
-107 167 14 161 10
-108 13 168 7 163
-109 11 82 159 173
-110 13 157 81 175
-111 176 14 80 160
-112 12 79 158 174
-113 157 170 8 31
-114 34 160 172 9
-115 158 169 7 32
-116 33 159 171 10
-117 177 60 10 153
-118 154 178 61 7
-119 156 180 62 9
-120 155 179 59 8
-121 59 81 150 162
-122 60 82 151 163
-123 80 149 62 164
-124 79 61 161 152
-125 11 67 145 153
-126 154 12 68 146
-127 156 14 69 148
-128 155 13 70 147
-129 167 70 150 31
-130 166 68 152 32
-131 33 165 67 151
-132 34 69 168 149
-133 24 146 171 52
-134 23 145 169 51
-135 26 148 170 54
-136 25 147 172 53
-137 58 146 30 173
-138 55 145 27 174
-139 176 57 147 29
-140 56 148 28 175
-141 161 162 163 164
-142 154 155 156 153
-143 157 160 151 152
-144 158 159 149 150
-145 188 134 125 138
-146 133 126 137 185
-147 136 128 139 186
-148 187 135 127 140
-149 132 144 123 189
-150 121 144 190 129
-151 143 122 192 131
-152 143 124 191 130
-153 189 125 117 142
-154 190 126 118 142
-155 192 128 120 142
-156 191 127 119 142
-157 110 143 189 113
-158 144 112 115 192
-159 144 191 116 109
-160 143 111 190 114
-161 124 107 141 185
-162 121 106 141 186
-163 122 188 108 141
-164 187 123 105 141
-165 104 181 106 131
-166 104 105 182 130
-167 103 107 129 184
-168 132 103 183 108
-169 134 115 185 87
-170 88 113 135 186
-171 133 188 90 116
-172 187 89 114 136
-173 91 137 181 109
-174 112 92 138 182
-175 110 93 140 184
-176 111 94 139 183
-177 99 181 95 117
-178 100 182 96 118
-179 102 184 98 120
-180 101 183 97 119
-181 165 177 3 173
-182 166 2 178 174
-183 176 168 180 5
-184 167 179 4 175
-185 2 146 169 161
-186 4 147 170 162
-187 5 148 172 164
-188 145 3 171 163
-189 2 157 149 153
-190 154 3 160 150
-191 156 4 159 152
-192 155 158 5 151
0