Graph forms
for C4 [ 192, 200 ] = SS[192,92]
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On this page are computer-accessible forms for the graph C4[ 192, 200 ] =
SS[192,92].
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {1, 3}, {1, 2}, {144, 147}, {16, 19}, {1, 5}, {144, 148}, {35,
39}, {1, 4}, {144, 149}, {35, 38}, {17, 20}, {80, 86}, {144, 150}, {81, 86},
{34, 42}, {36, 44}, {82, 90}, {83, 91}, {176, 185}, {179, 186}, {36, 40}, {37,
41}, {177, 188}, {37, 43}, {178, 188}, {84, 90}, {85, 91}, {32, 47}, {180, 187},
{34, 45}, {33, 49}, {165, 181}, {141, 157}, {139, 155}, {138, 154}, {72, 88},
{76, 92}, {134, 150}, {136, 152}, {73, 88}, {169, 184}, {167, 182}, {77, 92},
{75, 89}, {170, 184}, {141, 159}, {140, 158}, {135, 149}, {33, 50}, {166, 181},
{164, 183}, {74, 89}, {138, 153}, {32, 52}, {162, 182}, {161, 181}, {66, 86},
{67, 87}, {74, 94}, {75, 95}, {134, 146}, {34, 55}, {174, 187}, {35, 54}, {33,
55}, {175, 185}, {135, 145}, {33, 54}, {173, 186}, {143, 152}, {139, 156}, {10,
18}, {143, 151}, {65, 89}, {64, 88}, {37, 61}, {35, 59}, {34, 58}, {13, 21},
{70, 94}, {71, 95}, {79, 87}, {11, 18}, {37, 60}, {32, 57}, {12, 21}, {78, 87},
{71, 93}, {137, 147}, {15, 20}, {172, 183}, {163, 184}, {70, 93}, {32, 60},
{171, 183}, {36, 56}, {136, 148}, {14, 19}, {143, 146}, {36, 57}, {128, 158},
{168, 182}, {143, 145}, {129, 159}, {137, 151}, {68, 91}, {160, 191}, {69, 90},
{159, 191}, {29, 60}, {31, 61}, {156, 190}, {141, 175}, {27, 56}, {152, 187},
{68, 103}, {69, 102}, {30, 58}, {131, 167}, {28, 57}, {139, 174}, {30, 59},
{131, 166}, {139, 173}, {155, 189}, {23, 48}, {154, 189}, {153, 190}, {31, 56},
{26, 61}, {130, 165}, {26, 50}, {72, 96}, {73, 97}, {132, 172}, {28, 53}, {149,
188}, {66, 107}, {67, 106}, {27, 49}, {142, 164}, {78, 100}, {79, 101}, {129,
171}, {130, 168}, {30, 53}, {148, 191}, {18, 62}, {146, 190}, {145, 189}, {142,
162}, {140, 160}, {65, 109}, {64, 108}, {76, 96}, {77, 97}, {128, 172}, {133,
169}, {18, 63}, {151, 186}, {142, 163}, {30, 51}, {25, 52}, {23, 58}, {22, 59},
{24, 54}, {29, 51}, {25, 55}, {132, 170}, {133, 171}, {31, 48}, {150, 185},
{142, 161}, {82, 98}, {83, 99}, {31, 46}, {68, 118}, {69, 118}, {67, 119}, {80,
100}, {81, 101}, {66, 119}, {24, 47}, {84, 99}, {85, 98}, {22, 46}, {64, 120},
{65, 121}, {138, 179}, {140, 176}, {141, 177}, {138, 180}, {140, 178}, {23, 84},
{47, 108}, {46, 109}, {22, 82}, {8, 77}, {9, 76}, {38, 96}, {63, 121}, {62,
120}, {8, 79}, {23, 80}, {22, 81}, {9, 78}, {43, 99}, {24, 83}, {25, 85}, {45,
97}, {41, 101}, {40, 100}, {6, 75}, {7, 74}, {6, 72}, {44, 98}, {9, 71}, {8,
70}, {7, 73}, {20, 69}, {27, 74}, {26, 75}, {21, 68}, {7, 85}, {19, 65}, {19,
64}, {147, 192}, {59, 104}, {56, 107}, {53, 102}, {6, 83}, {50, 103}, {29, 72},
{28, 73}, {24, 78}, {60, 106}, {58, 108}, {45, 123}, {42, 124}, {25, 79}, {6,
81}, {63, 104}, {62, 105}, {41, 126}, {40, 127}, {27, 76}, {26, 77}, {21, 66},
{20, 67}, {7, 80}, {51, 107}, {48, 105}, {39, 125}, {55, 109}, {9, 82}, {61,
102}, {49, 106}, {29, 70}, {28, 71}, {8, 84}, {52, 104}, {38, 122}, {157, 192},
{57, 103}, {158, 192}, {54, 105}, {15, 111}, {17, 113}, {14, 111}, {16, 113},
{62, 92}, {63, 93}, {13, 110}, {16, 115}, {10, 110}, {17, 116}, {16, 123}, {10,
122}, {15, 126}, {13, 127}, {14, 124}, {42, 94}, {11, 125}, {10, 114}, {39, 95},
{11, 115}, {12, 117}, {13, 116}, {15, 117}, {11, 112}, {12, 112}, {14, 114},
{12, 129}, {17, 128}, {42, 137}, {45, 136}, {44, 134}, {43, 128}, {47, 131},
{43, 134}, {46, 131}, {44, 129}, {38, 136}, {41, 135}, {39, 137}, {40, 135},
{53, 132}, {5, 183}, {48, 130}, {3, 182}, {49, 132}, {51, 133}, {52, 130}, {2,
181}, {50, 133}, {2, 186}, {3, 187}, {4, 189}, {5, 188}, {5, 190}, {4, 184}, {2,
191}, {4, 185}, {108, 173}, {3, 192}, {109, 174}, {107, 175}, {96, 167}, {98,
170}, {100, 172}, {97, 168}, {99, 169}, {101, 171}, {110, 160}, {114, 163},
{119, 164}, {102, 178}, {126, 170}, {116, 161}, {118, 163}, {125, 168}, {103,
177}, {127, 169}, {115, 164}, {117, 162}, {121, 161}, {105, 179}, {106, 176},
{120, 162}, {124, 167}, {104, 180}, {123, 166}, {126, 160}, {122, 165}, {123,
155}, {124, 156}, {117, 151}, {127, 157}, {122, 153}, {86, 178}, {118, 146},
{115, 150}, {87, 177}, {119, 145}, {114, 149}, {125, 154}, {113, 153}, {89,
179}, {121, 147}, {91, 176}, {88, 180}, {112, 156}, {116, 152}, {120, 148},
{112, 158}, {113, 159}, {93, 173}, {92, 174}, {111, 157}, {90, 175}, {110, 155},
{111, 154}, {95, 166}, {94, 165} }>;
(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)(10, 11)(12, 13)(14, 16)(15, 17)(22, 24)(23, 25)(26, 29)(27,
28)(30, 33)(31, 32)(38, 39)(40, 44)(41, 43)(42, 45)(46, 47)(48, 52)(49, 53)(50,
51)(54, 59)(55, 58)(56, 57)(60, 61)(62, 63)(64, 65)(66, 68)(67, 69)(70, 77)(71,
76)(72, 75)(73, 74)(78, 82)(79, 84)(80, 85)(81, 83)(86, 91)(87, 90)(88, 89)(92,
93)(94, 97)(95, 96)(98, 100)(99, 101)(102, 106)(103, 107)(104, 105)(108,
109)(110, 112)(111, 113)(114, 115)(116, 117)(118, 119)(120, 121)(122, 125)(123,
124)(126, 128)(127, 129)(134, 135)(136, 137)(145, 146)(147, 148)(149, 150)(151,
152)(153, 154)(155, 156)(157, 159)(158, 160)(161, 162)(163, 164)(165, 168)(166,
167)(169, 171)(170, 172)(173, 174)(175, 177)(176, 178)(179, 180)(181, 182)(183,
184)(185, 188)(186, 187)(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, 6)(2, 75)(3, 72)(4, 83)(5, 81)(7, 142)(8, 144)(9, 143)(10, 55)(11,
58)(12, 53)(13, 49)(14, 52)(15, 57)(16, 48)(17, 56)(18, 34)(19, 130)(20, 36)(21,
132)(22, 190)(23, 115)(24, 189)(25, 114)(26, 191)(27, 116)(28, 117)(29, 192)(30,
112)(31, 113)(32, 111)(33, 110)(35, 139)(37, 141)(38, 174)(39, 173)(40, 67)(41,
177)(42, 63)(43, 175)(44, 69)(45, 62)(46, 153)(47, 154)(50, 160)(51, 158)(54,
155)(59, 156)(60, 157)(61, 159)(64, 168)(65, 165)(66, 172)(68, 170)(70, 147)(71,
151)(73, 162)(74, 161)(76, 152)(77, 148)(78, 145)(79, 149)(80, 164)(82, 146)(84,
150)(85, 163)(86, 183)(87, 135)(88, 182)(89, 181)(90, 134)(91, 184)(92, 136)(93,
137)(94, 121)(95, 186)(96, 187)(97, 120)(98, 118)(99, 185)(100, 119)(101,
188)(102, 129)(103, 126)(104, 124)(105, 123)(106, 127)(107, 128)(108, 125)(109,
122)(131, 138)(133, 140)(166, 179)(167, 180)(169, 176)(171, 178)
c: (1, 8)(2, 77)(3, 70)(4, 84)(5, 79)(6, 144)(7, 143)(9, 142)(10, 46)(11,
47)(12, 57)(13, 56)(14, 59)(15, 53)(16, 54)(17, 49)(18, 131)(19, 35)(20,
132)(21, 36)(22, 114)(23, 189)(24, 115)(25, 190)(26, 191)(27, 116)(28, 117)(29,
192)(30, 111)(31, 110)(32, 112)(33, 113)(34, 138)(37, 140)(38, 65)(39, 64)(40,
66)(41, 178)(42, 180)(43, 176)(44, 68)(45, 179)(48, 155)(50, 159)(51, 157)(52,
156)(55, 153)(58, 154)(60, 158)(61, 160)(62, 166)(63, 167)(67, 172)(69, 170)(71,
162)(72, 147)(73, 151)(74, 152)(75, 148)(76, 161)(78, 164)(80, 145)(81, 149)(82,
163)(83, 150)(85, 146)(86, 135)(87, 183)(88, 137)(89, 136)(90, 184)(91, 134)(92,
181)(93, 182)(94, 187)(95, 120)(96, 121)(97, 186)(98, 118)(99, 185)(100,
119)(101, 188)(102, 126)(103, 129)(104, 124)(105, 123)(106, 128)(107, 127)(108,
125)(109, 122)(130, 139)(133, 141)(165, 174)(168, 173)(169, 175)(171, 177)
d: (1, 18)(2, 10)(3, 11)(4, 63)(5, 62)(6, 36)(7, 37)(8, 132)(9, 133)(12,
167)(13, 166)(14, 151)(15, 42)(16, 152)(17, 45)(19, 143)(20, 34)(21, 131)(22,
107)(23, 102)(24, 103)(25, 106)(26, 100)(27, 101)(28, 99)(29, 98)(30, 90)(31,
86)(32, 91)(33, 87)(35, 141)(38, 159)(39, 157)(40, 75)(41, 74)(43, 73)(44,
72)(46, 66)(47, 68)(48, 178)(49, 79)(50, 78)(51, 82)(52, 176)(53, 84)(54,
177)(55, 67)(56, 81)(57, 83)(58, 69)(59, 175)(60, 85)(61, 80)(64, 146)(65,
145)(70, 170)(71, 169)(76, 171)(77, 172)(88, 134)(89, 135)(92, 183)(93, 184)(94,
126)(95, 127)(96, 129)(97, 128)(104, 185)(105, 188)(108, 118)(109, 119)(110,
181)(111, 137)(112, 182)(113, 136)(114, 186)(115, 187)(116, 123)(117, 124)(120,
190)(121, 189)(122, 191)(125, 192)(130, 140)(138, 144)(139, 142)(147, 154)(148,
153)(149, 179)(150, 180)(155, 161)(156, 162)(158, 168)(160, 165)(163, 173)(164,
174)
e: (2, 4, 3, 5)(8, 9)(10, 15, 11, 17)(12, 16, 13, 14)(18, 20)(19, 21)(22, 26,
24, 29)(23, 27, 25, 28)(30, 31, 33, 32)(34, 36)(35, 37)(38, 41, 39, 43)(40, 42,
44, 45)(46, 50, 47, 51)(48, 49, 52, 53)(54, 60, 59, 61)(55, 57, 58, 56)(62, 67,
63, 69)(64, 66, 65, 68)(70, 82, 77, 78)(71, 84, 76, 79)(72, 81, 75, 83)(73, 80,
74, 85)(86, 89, 91, 88)(87, 93, 90, 92)(94, 98, 97, 100)(95, 99, 96, 101)(102,
105, 106, 104)(103, 108, 107, 109)(110, 111, 112, 113)(114, 117, 115, 116)(118,
120, 119, 121)(122, 126, 125, 128)(123, 127, 124, 129)(130, 132)(131, 133)(134,
136, 135, 137)(138, 140)(139, 141)(143, 144)(145, 147, 146, 148)(149, 151, 150,
152)(153, 160, 154, 158)(155, 157, 156, 159)(161, 163, 162, 164)(165, 170, 168,
172)(166, 169, 167, 171)(173, 175, 174, 177)(176, 180, 178, 179)(181, 184, 182,
183)(185, 187, 188, 186)(189, 192, 190, 191)
f: (1, 22, 111, 27, 142, 25, 113, 29)(2, 81, 154, 56, 162, 85, 16, 60)(3, 82,
14, 49, 161, 79, 153, 51)(4, 46, 15, 74, 164, 52, 159, 72)(5, 59, 157, 76, 163,
55, 17, 70)(6, 189, 31, 117, 7, 115, 32, 191)(8, 190, 30, 192, 9, 114, 33,
116)(10, 50, 152, 84, 156, 53, 147, 78)(11, 57, 148, 83, 155, 61, 151, 80)(12,
73, 150, 47, 160, 75, 145, 48)(13, 77, 146, 58, 158, 71, 149, 54)(18, 103, 136,
99, 139, 102, 137, 100)(19, 106, 181, 101, 138, 107, 182, 98)(20, 94, 183, 104,
141, 96, 184, 109)(21, 97, 134, 108, 140, 95, 135, 105)(23, 112, 28, 144, 24,
110, 26, 143)(34, 128, 93, 188, 35, 127, 92, 118)(36, 120, 91, 123, 37, 186, 86,
125)(38, 169, 174, 69, 42, 172, 63, 177)(39, 40, 62, 68, 45, 43, 173, 178)(41,
179, 66, 168, 44, 64, 176, 166)(65, 67, 165, 171, 180, 175, 167, 170)(87, 122,
133, 187, 90, 124, 132, 121)(88, 185, 131, 126, 89, 119, 130, 129)
g: (1, 7)(2, 74)(3, 73)(4, 85)(5, 80)(6, 142)(8, 143)(9, 144)(10, 54)(11,
59)(12, 51)(13, 50)(14, 47)(15, 60)(16, 46)(17, 61)(18, 35)(19, 131)(20, 37)(21,
133)(22, 115)(23, 190)(24, 114)(25, 189)(26, 116)(27, 191)(28, 192)(29, 117)(30,
112)(31, 113)(32, 111)(33, 110)(34, 139)(36, 141)(38, 62)(39, 63)(40, 177)(41,
67)(42, 173)(43, 69)(44, 175)(45, 174)(48, 153)(49, 160)(52, 154)(53, 158)(55,
155)(56, 159)(57, 157)(58, 156)(64, 167)(65, 166)(66, 171)(68, 169)(70, 151)(71,
147)(72, 162)(75, 161)(76, 148)(77, 152)(78, 149)(79, 145)(81, 164)(82, 150)(83,
163)(84, 146)(86, 183)(87, 135)(88, 182)(89, 181)(90, 134)(91, 184)(92, 136)(93,
137)(94, 186)(95, 121)(96, 120)(97, 187)(98, 185)(99, 118)(100, 188)(101,
119)(102, 128)(103, 127)(104, 125)(105, 122)(106, 126)(107, 129)(108, 124)(109,
123)(130, 138)(132, 140)(165, 179)(168, 180)(170, 176)(172, 178)
C4[ 192, 200 ]
192
-1 2 3 4 5
-2 1 191 181 186
-3 187 1 192 182
-4 1 189 184 185
-5 1 188 190 183
-6 81 72 83 75
-7 80 73 74 85
-8 77 79 70 84
-9 78 71 82 76
-10 110 122 114 18
-11 112 125 115 18
-12 112 117 129 21
-13 110 116 127 21
-14 111 124 114 19
-15 111 126 117 20
-16 123 113 115 19
-17 113 116 128 20
-18 11 62 63 10
-19 14 16 64 65
-20 67 69 15 17
-21 66 12 13 68
-22 46 59 81 82
-23 58 80 48 84
-24 78 47 83 54
-25 55 79 52 85
-26 77 50 61 75
-27 56 49 74 76
-28 57 71 73 53
-29 70 60 72 51
-30 58 59 51 53
-31 56 46 48 61
-32 57 47 60 52
-33 55 49 50 54
-34 55 45 58 42
-35 59 38 39 54
-36 44 56 57 40
-37 60 61 41 43
-38 122 35 136 96
-39 35 125 137 95
-40 100 36 135 127
-41 101 135 37 126
-42 34 124 137 94
-43 99 134 37 128
-44 134 36 129 98
-45 34 123 136 97
-46 22 31 109 131
-47 24 108 32 131
-48 23 105 31 130
-49 33 132 27 106
-50 33 133 26 103
-51 133 29 30 107
-52 25 104 130 32
-53 132 102 28 30
-54 33 24 35 105
-55 33 34 25 109
-56 36 27 107 31
-57 36 103 28 32
-58 23 34 30 108
-59 22 35 104 30
-60 37 29 106 32
-61 102 26 37 31
-62 92 105 18 120
-63 121 93 104 18
-64 88 19 108 120
-65 121 89 19 109
-66 107 86 119 21
-67 106 20 119 87
-68 91 103 118 21
-69 90 102 118 20
-70 93 94 29 8
-71 93 28 95 9
-72 88 6 29 96
-73 88 28 7 97
-74 89 27 94 7
-75 89 26 6 95
-76 92 27 96 9
-77 26 92 8 97
-78 100 24 9 87
-79 101 25 8 87
-80 23 100 7 86
-81 22 101 6 86
-82 22 90 9 98
-83 99 24 91 6
-84 99 23 90 8
-85 25 91 7 98
-86 66 178 80 81
-87 67 78 177 79
-88 180 72 73 64
-89 179 74 75 65
-90 69 82 84 175
-91 176 68 83 85
-92 77 62 174 76
-93 70 71 63 173
-94 165 70 74 42
-95 166 71 39 75
-96 167 38 72 76
-97 77 45 168 73
-98 44 82 170 85
-99 169 83 84 43
-100 78 80 40 172
-101 79 81 171 41
-102 178 69 61 53
-103 177 57 68 50
-104 59 180 52 63
-105 179 48 62 54
-106 176 67 49 60
-107 66 56 51 175
-108 47 58 173 64
-109 55 46 174 65
-110 155 13 160 10
-111 154 14 157 15
-112 11 12 156 158
-113 16 159 17 153
-114 14 149 163 10
-115 11 16 150 164
-116 13 17 161 152
-117 12 15 151 162
-118 68 69 146 163
-119 66 67 145 164
-120 148 62 162 64
-121 147 161 63 65
-122 165 38 10 153
-123 45 155 166 16
-124 156 167 14 42
-125 11 154 168 39
-126 15 170 160 41
-127 13 157 169 40
-128 158 17 172 43
-129 44 12 159 171
-130 165 168 48 52
-131 166 46 167 47
-132 49 170 172 53
-133 169 50 171 51
-134 44 146 150 43
-135 145 149 40 41
-136 45 38 148 152
-137 147 39 151 42
-138 154 179 180 153
-139 155 156 173 174
-140 176 178 158 160
-141 177 157 159 175
-142 161 162 163 164
-143 145 146 151 152
-144 147 148 149 150
-145 143 189 135 119
-146 143 134 190 118
-147 121 144 137 192
-148 144 136 191 120
-149 144 188 135 114
-150 144 134 115 185
-151 143 137 117 186
-152 143 187 136 116
-153 122 113 190 138
-154 111 189 125 138
-155 110 123 189 139
-156 112 124 190 139
-157 111 192 127 141
-158 112 192 128 140
-159 113 191 129 141
-160 110 191 126 140
-161 121 181 116 142
-162 182 117 120 142
-163 114 118 184 142
-164 115 183 119 142
-165 122 181 94 130
-166 123 181 95 131
-167 124 182 96 131
-168 125 182 97 130
-169 99 133 127 184
-170 132 126 184 98
-171 133 101 183 129
-172 132 100 128 183
-173 93 139 108 186
-174 187 92 139 109
-175 90 107 141 185
-176 91 106 140 185
-177 188 103 141 87
-178 188 102 140 86
-179 89 105 138 186
-180 88 187 104 138
-181 165 166 2 161
-182 167 3 168 162
-183 5 171 172 164
-184 4 169 170 163
-185 176 4 150 175
-186 2 179 151 173
-187 3 180 152 174
-188 177 178 5 149
-189 154 155 145 4
-190 156 146 5 153
-191 2 148 159 160
-192 3 157 147 158
0