Graph forms
for C4 [ 192, 121 ] = UG(ATD[192,208])
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On this page are computer-accessible forms for the graph C4[ 192, 121 ] =
UG(ATD[192,208]).
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {56, 61}, {59, 62}, {6, 14}, {116, 125}, {65, 75}, {165, 175},
{69, 79}, {70, 76}, {1, 13}, {48, 60}, {112, 124}, {119, 123}, {164, 170}, {11,
26}, {41, 56}, {37, 52}, {111, 126}, {64, 83}, {163, 176}, {5, 17}, {12, 24},
{2, 23}, {36, 49}, {35, 54}, {66, 84}, {163, 181}, {67, 85}, {105, 127}, {106,
124}, {166, 177}, {1, 25}, {47, 55}, {5, 29}, {11, 18}, {42, 51}, {70, 92},
{166, 188}, {69, 94}, {165, 190}, {2, 30}, {38, 59}, {101, 123}, {68, 91}, {164,
187}, {10, 42}, {18, 50}, {93, 125}, {7, 38}, {29, 60}, {26, 59}, {23, 54}, {8,
41}, {69, 103}, {150, 180}, {65, 98}, {158, 189}, {147, 176}, {1, 37}, {24, 60},
{17, 53}, {6, 35}, {89, 124}, {94, 123}, {154, 188}, {136, 175}, {148, 179},
{12, 36}, {87, 126}, {64, 106}, {149, 191}, {66, 104}, {80, 123}, {157, 182},
{128, 171}, {25, 53}, {30, 50}, {2, 47}, {81, 127}, {153, 183}, {150, 184},
{144, 190}, {135, 169}, {129, 175}, {70, 105}, {157, 178}, {148, 187}, {69,
118}, {10, 62}, {14, 59}, {67, 117}, {154, 172}, {153, 175}, {139, 189}, {130,
180}, {68, 114}, {70, 112}, {74, 124}, {140, 187}, {158, 169}, {9, 48}, {143,
181}, {144, 170}, {128, 187}, {139, 176}, {135, 188}, {1, 61}, {13, 49}, {129,
191}, {149, 171}, {143, 177}, {140, 178}, {136, 182}, {130, 188}, {2, 66}, {7,
71}, {9, 72}, {33, 96}, {23, 86}, {21, 84}, {37, 103}, {48, 114}, {43, 104},
{44, 111}, {13, 73}, {34, 102}, {58, 126}, {16, 85}, {26, 95}, {56, 125}, {44,
106}, {38, 97}, {46, 105}, {27, 83}, {49, 121}, {8, 65}, {31, 86}, {29, 84},
{19, 95}, {34, 110}, {25, 85}, {20, 89}, {55, 122}, {33, 108}, {45, 98}, {62,
113}, {28, 77}, {32, 113}, {61, 111}, {147, 192}, {30, 74}, {15, 90}, {39, 113},
{22, 78}, {19, 74}, {33, 120}, {20, 77}, {14, 83}, {40, 118}, {43, 117}, {63,
97}, {47, 112}, {45, 79}, {62, 93}, {19, 119}, {44, 75}, {14, 102}, {33, 73},
{31, 119}, {26, 114}, {16, 120}, {24, 113}, {38, 76}, {61, 86}, {13, 97}, {34,
78}, {48, 94}, {63, 80}, {9, 121}, {55, 71}, {27, 107}, {20, 101}, {51, 66},
{10, 126}, {25, 109}, {22, 98}, {37, 83}, {43, 93}, {44, 91}, {19, 107}, {34,
90}, {29, 101}, {24, 96}, {4, 125}, {32, 89}, {23, 110}, {21, 108}, {20, 109},
{46, 84}, {47, 85}, {39, 92}, {43, 80}, {6, 122}, {52, 72}, {30, 98}, {15, 114},
{28, 97}, {60, 65}, {40, 86}, {3, 131}, {45, 173}, {4, 133}, {8, 137}, {5, 132},
{41, 172}, {46, 171}, {7, 143}, {63, 183}, {3, 138}, {39, 174}, {11, 134}, {36,
169}, {5, 149}, {35, 179}, {40, 185}, {63, 174}, {6, 146}, {54, 162}, {46, 186},
{41, 189}, {32, 180}, {4, 145}, {45, 184}, {35, 182}, {11, 158}, {9, 156}, {8,
157}, {3, 155}, {42, 178}, {57, 161}, {32, 185}, {40, 177}, {39, 190}, {10,
150}, {52, 168}, {12, 144}, {42, 183}, {58, 167}, {7, 167}, {49, 145}, {31,
191}, {22, 182}, {3, 162}, {27, 186}, {17, 181}, {52, 144}, {50, 150}, {17,
180}, {57, 156}, {53, 157}, {58, 146}, {28, 181}, {4, 168}, {55, 155}, {21,
185}, {12, 161}, {51, 158}, {18, 191}, {56, 149}, {53, 133}, {57, 137}, {27,
170}, {50, 131}, {31, 174}, {28, 173}, {15, 186}, {18, 170}, {22, 174}, {51,
138}, {54, 143}, {122, 192}, {15, 179}, {21, 169}, {58, 134}, {16, 173}, {57,
132}, {77, 141}, {100, 164}, {104, 168}, {96, 162}, {81, 146}, {92, 159}, {87,
147}, {88, 156}, {99, 167}, {75, 142}, {76, 137}, {93, 152}, {94, 155}, {127,
184}, {107, 163}, {78, 135}, {73, 131}, {121, 179}, {80, 154}, {82, 153}, {108,
160}, {89, 148}, {90, 151}, {121, 183}, {79, 128}, {127, 176}, {110, 161}, {16,
192}, {78, 159}, {117, 166}, {82, 132}, {122, 172}, {91, 141}, {115, 165}, {116,
162}, {118, 160}, {79, 152}, {92, 139}, {82, 138}, {90, 130}, {81, 136}, {88,
129}, {95, 133}, {74, 145}, {87, 140}, {73, 151}, {88, 134}, {116, 148}, {120,
152}, {102, 132}, {99, 128}, {110, 141}, {36, 192}, {99, 135}, {108, 136}, {119,
147}, {104, 141}, {107, 142}, {100, 131}, {115, 155}, {68, 173}, {77, 164},
{109, 134}, {64, 172}, {71, 171}, {75, 167}, {76, 160}, {112, 156}, {100, 137},
{103, 138}, {96, 142}, {72, 184}, {67, 178}, {82, 163}, {115, 130}, {99, 145},
{109, 159}, {106, 153}, {87, 161}, {115, 133}, {101, 146}, {103, 159}, {111,
151}, {64, 185}, {120, 129}, {67, 186}, {68, 189}, {71, 190}, {72, 177}, {81,
168}, {118, 140}, {117, 142}, {88, 166}, {91, 165}, {100, 154}, {102, 152},
{105, 151}, {95, 160}, {116, 139} }>;
(II) A more general form is to represent the graph as the orbit of {56, 61}
under the group generated by the following permutations:
a: (1, 5)(2, 50)(3, 51)(4, 8)(6, 59)(7, 58)(10, 55)(11, 54)(13, 29)(16, 32)(17,
25)(18, 23)(19, 22)(20, 28)(21, 33)(24, 36)(26, 35)(27, 34)(37, 132)(38,
146)(39, 147)(40, 129)(41, 125)(42, 155)(43, 154)(44, 128)(45, 124)(46, 151)(47,
150)(48, 121)(49, 60)(52, 57)(61, 149)(62, 122)(63, 123)(64, 152)(65, 145)(66,
131)(67, 130)(68, 148)(69, 153)(70, 127)(71, 126)(72, 156)(73, 84)(74, 98)(75,
99)(76, 81)(78, 107)(79, 106)(82, 103)(83, 102)(85, 180)(86, 191)(87, 190)(88,
177)(89, 173)(90, 186)(91, 187)(92, 176)(93, 172)(94, 183)(95, 182)(96, 169)(97,
101)(100, 104)(109, 181)(110, 170)(111, 171)(112, 184)(113, 192)(114, 179)(115,
178)(116, 189)(117, 188)(118, 175)(119, 174)(120, 185)(133, 157)(134, 143)(135,
142)(136, 160)(137, 168)(140, 165)(141, 164)(144, 161)(158, 162)(159, 163) (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, 13, 73, 151, 111, 61)(2, 14, 74, 152, 112, 62)(3, 15, 75, 149, 109,
63)(4, 16, 76, 150, 110, 64)(5, 20, 80, 155, 114, 65)(6, 19, 79, 156, 113,
66)(7, 18, 78, 153, 116, 67)(8, 17, 77, 154, 115, 68)(9, 24, 84, 146, 119,
69)(10, 23, 83, 145, 120, 70)(11, 22, 82, 148, 117, 71)(12, 21, 81, 147, 118,
72)(25, 97, 131, 90, 44, 56)(26, 98, 132, 89, 43, 55)(27, 99, 129, 92, 42,
54)(28, 100, 130, 91, 41, 53)(29, 101, 123, 94, 48, 60)(30, 102, 124, 93, 47,
59)(31, 103, 121, 96, 46, 58)(32, 104, 122, 95, 45, 57)(33, 105, 126, 86, 37,
49)(34, 106, 125, 85, 38, 50)(35, 107, 128, 88, 39, 51)(36, 108, 127, 87, 40,
52)(133, 173, 137, 180, 141, 172)(134, 174, 138, 179, 142, 171)(135, 175, 139,
178, 143, 170)(136, 176, 140, 177, 144, 169)(157, 181, 164, 188, 165, 189)(158,
182, 163, 187, 166, 190)(159, 183, 162, 186, 167, 191)(160, 184, 161, 185, 168,
192)
c: (1, 2, 60, 59)(3, 57, 58, 4)(5, 10, 49, 55)(6, 56, 50, 9)(7, 53, 51, 12)(8,
11, 52, 54)(13, 47, 29, 62)(14, 61, 30, 48)(15, 64, 31, 45)(16, 46, 32, 63)(17,
42, 36, 71)(18, 72, 35, 41)(19, 69, 34, 44)(20, 43, 33, 70)(21, 39, 28, 67)(22,
68, 27, 40)(23, 65, 26, 37)(24, 38, 25, 66)(73, 112, 101, 93)(74, 94, 102,
111)(75, 95, 103, 110)(76, 109, 104, 96)(77, 117, 108, 92)(78, 91, 107, 118)(79,
90, 106, 119)(80, 120, 105, 89)(81, 116, 100, 88)(82, 87, 99, 115)(83, 86, 98,
114)(84, 113, 97, 85)(121, 122, 149, 150)(123, 152, 151, 124)(125, 131, 156,
146)(126, 145, 155, 132)(127, 148, 154, 129)(128, 130, 153, 147)(133, 138, 161,
167)(134, 168, 162, 137)(135, 165, 163, 140)(136, 139, 164, 166)(141, 142, 160,
159)(143, 157, 158, 144)(169, 190, 181, 178)(170, 177, 182, 189)(171, 180, 183,
192)(172, 191, 184, 179)(173, 186, 185, 174)(175, 176, 187, 188)
d: (1, 3)(2, 4)(5, 6)(7, 8)(9, 11)(10, 12)(13, 131)(14, 132)(15, 129)(16,
130)(17, 122)(18, 121)(19, 124)(20, 123)(21, 127)(22, 128)(23, 125)(24, 126)(25,
155)(26, 156)(27, 153)(28, 154)(29, 146)(30, 145)(31, 148)(32, 147)(33, 151)(34,
152)(35, 149)(36, 150)(37, 138)(38, 137)(39, 140)(40, 139)(41, 143)(42, 144)(43,
141)(44, 142)(45, 135)(46, 136)(47, 133)(48, 134)(49, 50)(51, 52)(53, 55)(54,
56)(57, 59)(58, 60)(61, 162)(62, 161)(63, 164)(64, 163)(65, 167)(66, 168)(67,
165)(68, 166)(69, 159)(70, 160)(71, 157)(72, 158)(77, 80)(78, 79)(81, 84)(82,
83)(85, 115)(86, 116)(87, 113)(88, 114)(89, 119)(90, 120)(91, 117)(92, 118)(93,
110)(94, 109)(95, 112)(96, 111)(97, 100)(98, 99)(105, 108)(106, 107)(169,
184)(170, 183)(171, 182)(172, 181)(173, 188)(174, 187)(175, 186)(176, 185)(177,
189)(178, 190)(179, 191)(180, 192)
e: (5, 8)(6, 7)(9, 12)(10, 11)(13, 37)(14, 38)(15, 39)(16, 40)(17, 41)(18,
42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)(25, 61)(26, 62)(27, 63)(28,
64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)(49, 52)(50,
51)(53, 56)(54, 55)(73, 103)(74, 104)(75, 101)(76, 102)(77, 106)(78, 105)(79,
108)(80, 107)(81, 99)(82, 100)(83, 97)(84, 98)(85, 86)(87, 88)(89, 91)(90,
92)(93, 95)(94, 96)(109, 111)(110, 112)(113, 114)(115, 116)(117, 119)(118,
120)(121, 144)(122, 143)(123, 142)(124, 141)(125, 133)(126, 134)(127, 135)(128,
136)(129, 140)(130, 139)(131, 138)(132, 137)(145, 168)(146, 167)(147, 166)(148,
165)(149, 157)(150, 158)(151, 159)(152, 160)(153, 164)(154, 163)(155, 162)(156,
161)(169, 184)(170, 183)(171, 182)(172, 181)(173, 185)(174, 186)(175, 187)(176,
188)(177, 192)(178, 191)(179, 190)(180, 189)
f: (2, 59)(3, 58)(5, 9)(6, 55)(7, 54)(8, 12)(10, 50)(11, 51)(13, 61)(14, 47)(15,
46)(16, 64)(17, 72)(18, 42)(19, 43)(20, 69)(21, 68)(22, 39)(23, 38)(24, 65)(25,
37)(26, 66)(27, 67)(28, 40)(29, 48)(30, 62)(31, 63)(32, 45)(33, 44)(34, 70)(35,
71)(36, 41)(49, 56)(52, 53)(73, 111)(74, 93)(75, 96)(76, 110)(77, 118)(78,
92)(79, 89)(80, 119)(81, 115)(82, 88)(83, 85)(84, 114)(86, 97)(87, 100)(90,
105)(91, 108)(94, 101)(95, 104)(98, 113)(99, 116)(102, 112)(103, 109)(106,
120)(107, 117)(121, 149)(124, 152)(125, 145)(126, 131)(127, 130)(128, 148)(129,
153)(132, 156)(133, 168)(134, 138)(135, 139)(136, 165)(137, 161)(140, 164)(141,
160)(144, 157)(146, 155)(147, 154)(162, 167)(163, 166)(169, 189)(170, 178)(171,
179)(172, 192)(173, 185)(176, 188)(177, 181)(180, 184)(182, 190)(183, 191)
C4[ 192, 121 ]
192
-1 13 25 37 61
-2 66 23 47 30
-3 155 138 162 131
-4 133 145 168 125
-5 132 17 149 29
-6 122 35 14 146
-7 143 167 38 71
-8 157 137 41 65
-9 121 156 48 72
-10 126 62 150 42
-11 134 26 158 18
-12 144 24 36 161
-13 1 49 73 97
-14 102 59 6 83
-15 90 179 114 186
-16 192 85 173 120
-17 180 5 181 53
-18 11 191 170 50
-19 95 74 107 119
-20 77 89 101 109
-21 169 84 108 185
-22 78 182 174 98
-23 110 2 86 54
-24 12 113 60 96
-25 1 85 53 109
-26 11 59 114 95
-27 170 83 107 186
-28 77 181 173 97
-29 101 5 60 84
-30 2 50 74 98
-31 191 86 119 174
-32 89 113 180 185
-33 73 96 108 120
-34 110 78 90 102
-35 179 6 182 54
-36 12 169 49 192
-37 1 103 83 52
-38 59 7 97 76
-39 113 190 92 174
-40 177 118 86 185
-41 56 189 172 8
-42 178 51 183 10
-43 80 93 104 117
-44 111 91 106 75
-45 79 173 184 98
-46 105 171 84 186
-47 55 2 112 85
-48 114 60 94 9
-49 121 13 145 36
-50 18 150 30 131
-51 66 158 138 42
-52 144 168 37 72
-53 133 25 157 17
-54 143 23 35 162
-55 122 155 47 71
-56 125 61 149 41
-57 132 156 137 161
-58 134 167 146 126
-59 14 26 38 62
-60 24 48 29 65
-61 1 56 111 86
-62 113 59 93 10
-63 80 183 97 174
-64 83 106 172 185
-65 60 8 75 98
-66 2 104 51 84
-67 178 117 85 186
-68 189 91 114 173
-69 79 103 94 118
-70 112 92 105 76
-71 55 190 171 7
-72 177 52 184 9
-73 33 13 151 131
-74 145 124 19 30
-75 44 167 65 142
-76 70 38 137 160
-77 28 20 141 164
-78 22 34 135 159
-79 45 69 128 152
-80 154 123 63 43
-81 146 168 136 127
-82 132 138 163 153
-83 14 37 27 64
-84 66 46 29 21
-85 67 25 47 16
-86 23 61 40 31
-87 147 126 161 140
-88 166 134 156 129
-89 124 148 20 32
-90 34 15 151 130
-91 44 165 68 141
-92 70 159 39 139
-93 125 62 152 43
-94 155 123 69 48
-95 133 26 160 19
-96 33 24 162 142
-97 13 38 28 63
-98 22 45 30 65
-99 145 167 135 128
-100 154 137 131 164
-101 123 146 29 20
-102 132 34 14 152
-103 69 37 159 138
-104 66 168 141 43
-105 46 70 127 151
-106 44 124 64 153
-107 27 19 163 142
-108 33 136 160 21
-109 134 25 159 20
-110 23 34 161 141
-111 44 126 61 151
-112 156 47 124 70
-113 24 39 62 32
-114 68 15 26 48
-115 165 133 155 130
-116 125 148 139 162
-117 67 166 43 142
-118 69 160 40 140
-119 123 147 19 31
-120 33 16 129 152
-121 179 49 183 9
-122 55 192 6 172
-123 101 80 94 119
-124 89 112 106 74
-125 56 4 93 116
-126 111 58 10 87
-127 176 81 105 184
-128 99 187 79 171
-129 88 191 120 175
-130 188 90 180 115
-131 100 3 50 73
-132 57 102 5 82
-133 4 115 95 53
-134 11 88 58 109
-135 99 78 188 169
-136 81 182 108 175
-137 100 57 8 76
-138 3 103 82 51
-139 176 189 92 116
-140 187 178 118 87
-141 77 110 91 104
-142 117 96 107 75
-143 177 181 7 54
-144 12 190 170 52
-145 99 4 49 74
-146 101 58 81 6
-147 176 192 119 87
-148 187 89 179 116
-149 56 191 5 171
-150 180 50 184 10
-151 111 90 105 73
-152 79 102 93 120
-153 82 106 183 175
-154 100 188 80 172
-155 55 3 115 94
-156 88 57 112 9
-157 178 182 8 53
-158 11 189 169 51
-159 78 92 103 109
-160 95 118 108 76
-161 110 12 57 87
-162 3 116 96 54
-163 176 82 181 107
-164 77 187 100 170
-165 91 190 115 175
-166 88 177 188 117
-167 99 58 7 75
-168 4 81 104 52
-169 36 135 158 21
-170 144 27 18 164
-171 46 71 149 128
-172 154 122 41 64
-173 45 68 16 28
-174 22 39 63 31
-175 165 136 129 153
-176 147 127 139 163
-177 143 166 72 40
-178 67 157 140 42
-179 121 35 15 148
-180 17 150 130 32
-181 143 17 28 163
-182 22 35 157 136
-183 121 63 42 153
-184 45 72 127 150
-185 40 64 21 32
-186 67 46 15 27
-187 148 128 140 164
-188 154 166 135 130
-189 68 158 139 41
-190 165 144 71 39
-191 149 18 129 31
-192 122 36 147 16
0