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