Graph forms
for C4 [ 204, 13 ] = AT[204,9]
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On this page are computer-accessible forms for the graph C4[ 204, 13 ] =
AT[204,9].
(I) Following is a form readable by MAGMA:
g:=Graph<204|{ {1, 3}, {45, 47}, {1, 2}, {1, 5}, {2, 6}, {1, 4}, {2, 7}, {128,
134}, {3, 11}, {4, 12}, {114, 123}, {2, 8}, {193, 203}, {5, 15}, {4, 14}, {3,
9}, {129, 138}, {193, 202}, {131, 136}, {192, 204}, {53, 56}, {3, 13}, {147,
157}, {4, 10}, {116, 122}, {117, 123}, {54, 57}, {6, 22}, {10, 26}, {9, 25}, {8,
24}, {7, 23}, {111, 127}, {6, 20}, {46, 60}, {12, 30}, {7, 21}, {8, 27}, {5,
17}, {8, 28}, {7, 19}, {6, 16}, {142, 152}, {11, 29}, {9, 31}, {5, 18}, {38,
62}, {100, 124}, {106, 115}, {131, 153}, {139, 145}, {34, 61}, {143, 144}, {18,
50}, {147, 179}, {14, 47}, {142, 175}, {144, 178}, {13, 46}, {142, 173}, {141,
174}, {68, 103}, {21, 54}, {17, 53}, {146, 182}, {130, 167}, {14, 40}, {133,
163}, {15, 41}, {20, 51}, {146, 181}, {16, 56}, {141, 165}, {21, 61}, {20, 60},
{19, 59}, {18, 58}, {17, 57}, {9, 35}, {13, 39}, {12, 38}, {11, 33}, {10, 32},
{19, 63}, {144, 188}, {70, 106}, {134, 171}, {139, 166}, {10, 36}, {147, 189},
{130, 172}, {16, 62}, {12, 34}, {11, 37}, {131, 172}, {146, 162}, {77, 127},
{141, 191}, {25, 42}, {129, 181}, {133, 177}, {139, 190}, {15, 55}, {67, 123},
{130, 187}, {16, 42}, {17, 43}, {15, 52}, {13, 48}, {134, 187}, {18, 44}, {66,
124}, {19, 45}, {14, 49}, {34, 98}, {38, 102}, {37, 101}, {36, 100}, {35, 99},
{30, 95}, {61, 124}, {48, 113}, {32, 97}, {135, 197}, {137, 203}, {29, 94}, {49,
114}, {25, 93}, {55, 115}, {30, 90}, {29, 89}, {28, 88}, {41, 108}, {46, 104},
{138, 204}, {44, 107}, {60, 123}, {47, 104}, {46, 105}, {24, 81}, {37, 108},
{27, 82}, {36, 110}, {45, 103}, {37, 111}, {56, 116}, {136, 196}, {59, 119},
{58, 118}, {57, 117}, {24, 85}, {132, 201}, {55, 122}, {31, 82}, {26, 87}, {35,
109}, {135, 201}, {25, 86}, {137, 198}, {36, 107}, {31, 79}, {155, 203}, {150,
198}, {26, 75}, {40, 121}, {27, 73}, {28, 78}, {150, 197}, {155, 200}, {20, 64},
{23, 67}, {22, 66}, {21, 65}, {29, 72}, {156, 201}, {47, 122}, {42, 127}, {38,
112}, {52, 98}, {40, 126}, {30, 73}, {51, 106}, {154, 195}, {149, 204}, {22,
76}, {39, 125}, {23, 77}, {28, 71}, {50, 105}, {22, 74}, {158, 194}, {154, 198},
{24, 68}, {23, 75}, {27, 70}, {26, 69}, {156, 195}, {39, 120}, {168, 201}, {35,
65}, {43, 72}, {169, 202}, {164, 199}, {48, 87}, {172, 203}, {58, 93}, {49, 86},
{44, 68}, {33, 74}, {41, 69}, {169, 197}, {164, 200}, {43, 70}, {170, 199}, {41,
71}, {171, 197}, {168, 199}, {32, 80}, {184, 200}, {180, 196}, {44, 92}, {43,
91}, {33, 83}, {39, 84}, {177, 194}, {34, 84}, {187, 204}, {32, 91}, {40, 83},
{33, 92}, {183, 202}, {186, 196}, {31, 96}, {185, 198}, {92, 192}, {93, 193},
{63, 162}, {62, 161}, {42, 138}, {63, 159}, {103, 199}, {98, 193}, {55, 144},
{61, 149}, {63, 151}, {62, 150}, {106, 194}, {56, 145}, {58, 147}, {57, 146},
{45, 128}, {103, 202}, {59, 148}, {48, 129}, {54, 135}, {52, 133}, {50, 131},
{49, 130}, {59, 136}, {53, 134}, {119, 195}, {60, 137}, {117, 192}, {51, 132},
{116, 195}, {120, 192}, {50, 139}, {54, 143}, {52, 141}, {53, 142}, {127, 196},
{116, 200}, {124, 194}, {51, 140}, {101, 165}, {126, 191}, {118, 180}, {84,
151}, {125, 190}, {102, 165}, {81, 149}, {112, 180}, {115, 183}, {90, 157},
{122, 189}, {97, 166}, {83, 155}, {120, 176}, {99, 171}, {108, 164}, {112, 184},
{101, 175}, {109, 167}, {76, 128}, {109, 161}, {113, 189}, {117, 184}, {70,
136}, {71, 137}, {80, 158}, {84, 154}, {100, 170}, {114, 188}, {98, 173}, {120,
183}, {95, 143}, {112, 160}, {79, 158}, {72, 154}, {73, 155}, {88, 138}, {99,
177}, {104, 186}, {115, 161}, {78, 157}, {74, 156}, {121, 175}, {102, 176},
{105, 191}, {111, 185}, {74, 157}, {75, 156}, {64, 152}, {65, 153}, {71, 159},
{110, 181}, {96, 188}, {126, 162}, {110, 179}, {109, 179}, {126, 161}, {64,
160}, {90, 186}, {108, 140}, {111, 143}, {79, 174}, {95, 190}, {118, 151}, {110,
140}, {64, 163}, {89, 186}, {68, 160}, {65, 164}, {75, 174}, {87, 178}, {80,
182}, {114, 148}, {88, 191}, {81, 185}, {113, 153}, {76, 165}, {80, 185}, {113,
152}, {77, 166}, {85, 190}, {91, 176}, {93, 182}, {81, 189}, {121, 149}, {94,
178}, {92, 177}, {66, 172}, {67, 173}, {105, 135}, {72, 167}, {66, 178}, {67,
179}, {69, 180}, {125, 140}, {90, 171}, {96, 145}, {101, 148}, {78, 188}, {119,
133}, {85, 167}, {88, 170}, {118, 132}, {89, 170}, {91, 168}, {89, 173}, {83,
166}, {86, 163}, {100, 145}, {104, 158}, {119, 129}, {79, 184}, {96, 151}, {97,
152}, {76, 182}, {77, 183}, {82, 169}, {85, 174}, {73, 181}, {94, 162}, {95,
163}, {99, 159}, {82, 175}, {125, 128}, {121, 132}, {107, 150}, {69, 187}, {78,
176}, {86, 168}, {87, 169}, {94, 160}, {97, 159}, {102, 153}, {107, 148}
}>;
(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)(6, 9)(7, 11)(8, 13)(10, 15)(12, 18)(14, 17)(16, 25)(19, 29)(20,
31)(21, 33)(22, 35)(23, 37)(24, 39)(26, 41)(27, 46)(28, 48)(30, 50)(32, 55)(34,
44)(36, 52)(38, 58)(40, 57)(43, 47)(45, 72)(49, 53)(51, 79)(54, 83)(56, 86)(59,
89)(60, 82)(61, 92)(62, 93)(63, 94)(64, 96)(65, 74)(66, 99)(67, 101)(68, 84)(70,
104)(71, 87)(73, 105)(75, 108)(76, 109)(77, 111)(78, 113)(80, 115)(81, 120)(85,
125)(88, 129)(90, 131)(91, 122)(95, 139)(97, 144)(98, 107)(100, 133)(102,
147)(103, 154)(106, 158)(110, 141)(112, 118)(114, 142)(116, 168)(117, 121)(119,
170)(123, 175)(124, 177)(126, 146)(128, 167)(130, 134)(132, 184)(135, 155)(136,
186)(137, 169)(140, 174)(143, 166)(145, 163)(148, 173)(149, 192)(150, 193)(151,
160)(152, 188)(153, 157)(156, 164)(159, 178)(161, 182)(165, 179)(171, 172)(176,
189)(181, 191)(183, 185)(195, 199)(197, 203)(198, 202)(200, 201) (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)(7, 8)(10, 15)(11, 13)(12, 17)(14, 18)(19, 24)(20, 22)(21, 27)(23,
28)(26, 41)(29, 39)(30, 57)(31, 35)(32, 52)(33, 46)(34, 43)(36, 55)(37, 48)(38,
53)(40, 50)(44, 47)(45, 68)(49, 58)(51, 66)(54, 73)(56, 62)(59, 81)(60, 74)(61,
70)(63, 85)(64, 76)(65, 82)(67, 78)(71, 75)(72, 84)(77, 88)(79, 99)(80, 133)(83,
105)(86, 93)(87, 108)(89, 120)(90, 117)(91, 98)(92, 104)(94, 125)(95, 146)(96,
109)(97, 141)(100, 115)(101, 113)(102, 142)(106, 124)(107, 122)(110, 144)(111,
129)(112, 134)(114, 147)(116, 150)(118, 130)(119, 185)(121, 131)(123, 157)(126,
139)(127, 138)(128, 160)(132, 172)(135, 155)(136, 149)(137, 156)(140, 178)(143,
181)(145, 161)(148, 189)(151, 167)(152, 165)(153, 175)(158, 177)(159, 174)(162,
190)(163, 182)(164, 169)(166, 191)(168, 193)(170, 183)(171, 184)(173, 176)(179,
188)(180, 187)(186, 192)(195, 198)(196, 204)(197, 200)(199, 202)(201, 203)
c: (1, 2)(3, 6)(4, 7)(5, 8)(9, 16)(10, 19)(11, 20)(12, 21)(13, 22)(14, 23)(15,
24)(17, 27)(18, 28)(25, 42)(26, 45)(29, 51)(30, 54)(31, 56)(32, 59)(33, 60)(34,
61)(35, 62)(36, 63)(37, 64)(38, 65)(39, 66)(40, 67)(41, 68)(43, 70)(44, 71)(46,
74)(47, 75)(48, 76)(49, 77)(50, 78)(52, 81)(53, 82)(55, 85)(57, 73)(58, 88)(69,
103)(72, 106)(79, 116)(80, 119)(83, 123)(84, 124)(86, 127)(87, 128)(89, 132)(90,
135)(91, 136)(92, 137)(93, 138)(94, 140)(95, 143)(96, 145)(97, 148)(98, 149)(99,
150)(100, 151)(101, 152)(102, 153)(104, 156)(105, 157)(107, 159)(108, 160)(109,
161)(110, 162)(111, 163)(112, 164)(113, 165)(114, 166)(115, 167)(117, 155)(118,
170)(120, 172)(121, 173)(122, 174)(125, 178)(126, 179)(129, 182)(130, 183)(131,
176)(133, 185)(134, 169)(139, 188)(141, 189)(142, 175)(144, 190)(146, 181)(147,
191)(154, 194)(158, 195)(168, 196)(171, 197)(177, 198)(180, 199)(184, 200)(186,
201)(187, 202)(192, 203)(193, 204)
d: (3, 4)(6, 7)(9, 12)(10, 11)(13, 14)(15, 18)(16, 21)(19, 20)(22, 23)(24,
28)(25, 34)(26, 33)(29, 32)(30, 31)(35, 38)(36, 37)(39, 49)(40, 48)(41, 44)(42,
61)(45, 60)(46, 47)(50, 55)(51, 59)(52, 58)(53, 57)(54, 56)(62, 65)(63, 64)(66,
77)(67, 76)(68, 71)(69, 92)(72, 91)(73, 82)(74, 75)(78, 85)(79, 90)(80, 89)(81,
88)(83, 87)(84, 86)(93, 98)(94, 97)(95, 96)(99, 112)(100, 111)(101, 110)(102,
109)(103, 137)(105, 122)(106, 136)(107, 108)(113, 126)(114, 125)(115, 131)(116,
135)(117, 134)(118, 133)(119, 132)(120, 130)(121, 129)(123, 128)(124, 127)(138,
149)(139, 144)(140, 148)(141, 147)(142, 146)(143, 145)(150, 164)(151, 163)(152,
162)(153, 161)(154, 168)(155, 169)(157, 174)(158, 186)(159, 160)(165, 179)(166,
178)(167, 176)(170, 185)(171, 184)(172, 183)(173, 182)(175, 181)(177, 180)(187,
192)(188, 190)(189, 191)(194, 196)(195, 201)(197, 200)(198, 199)(202, 203)
C4[ 204, 13 ]
204
-1 2 3 4 5
-2 1 6 7 8
-3 11 1 13 9
-4 1 12 14 10
-5 1 15 17 18
-6 22 2 16 20
-7 23 2 19 21
-8 2 24 27 28
-9 35 3 25 31
-10 36 4 26 32
-11 33 3 37 29
-12 34 4 38 30
-13 46 3 48 39
-14 47 4 49 40
-15 55 5 41 52
-16 56 6 62 42
-17 57 5 53 43
-18 44 58 5 50
-19 45 59 7 63
-20 60 6 51 64
-21 61 7 54 65
-22 66 6 74 76
-23 77 67 7 75
-24 68 81 8 85
-25 93 9 42 86
-26 69 75 10 87
-27 70 82 73 8
-28 88 78 71 8
-29 11 89 72 94
-30 12 90 73 95
-31 79 82 96 9
-32 80 91 97 10
-33 11 92 83 74
-34 12 61 84 98
-35 99 9 65 109
-36 110 100 107 10
-37 11 111 101 108
-38 12 112 102 62
-39 13 125 84 120
-40 121 14 126 83
-41 69 15 71 108
-42 25 16 127 138
-43 91 70 17 72
-44 68 92 18 107
-45 47 103 128 19
-46 13 60 104 105
-47 45 122 14 104
-48 13 113 129 87
-49 14 114 86 130
-50 105 18 139 131
-51 132 106 140 20
-52 133 15 141 98
-53 56 134 17 142
-54 143 57 135 21
-55 122 144 15 115
-56 145 16 116 53
-57 146 17 117 54
-58 147 93 18 118
-59 136 148 19 119
-60 46 123 137 20
-61 34 124 149 21
-62 16 38 150 161
-63 159 19 151 162
-64 160 20 152 163
-65 35 21 153 164
-66 22 178 124 172
-67 23 123 179 173
-68 44 24 103 160
-69 187 26 180 41
-70 136 27 106 43
-71 137 159 28 41
-72 154 167 29 43
-73 155 27 181 30
-74 22 33 156 157
-75 23 156 26 174
-76 22 165 182 128
-77 23 166 127 183
-78 176 188 157 28
-79 158 184 31 174
-80 158 182 185 32
-81 24 189 149 185
-82 169 27 31 175
-83 33 155 166 40
-84 154 34 39 151
-85 24 167 190 174
-86 25 168 49 163
-87 178 26 48 169
-88 191 170 28 138
-89 170 29 173 186
-90 157 171 30 186
-91 176 168 32 43
-92 33 44 177 192
-93 25 58 182 193
-94 178 160 29 162
-95 143 190 30 163
-96 188 145 151 31
-97 166 159 152 32
-98 34 193 52 173
-99 177 35 159 171
-100 145 36 124 170
-101 165 37 148 175
-102 165 176 38 153
-103 45 199 68 202
-104 46 47 158 186
-105 46 135 191 50
-106 70 115 51 194
-107 44 36 148 150
-108 37 41 140 164
-109 35 167 179 161
-110 36 179 181 140
-111 143 37 127 185
-112 180 38 160 184
-113 189 48 152 153
-114 188 123 49 148
-115 55 106 161 183
-116 56 122 200 195
-117 57 123 192 184
-118 132 58 180 151
-119 133 59 129 195
-120 176 192 39 183
-121 132 149 40 175
-122 55 189 47 116
-123 67 114 60 117
-124 66 100 61 194
-125 190 39 128 140
-126 191 40 161 162
-127 77 111 42 196
-128 45 134 125 76
-129 48 181 138 119
-130 187 167 49 172
-131 136 50 172 153
-132 121 201 51 118
-133 177 52 119 163
-134 187 171 128 53
-135 201 105 54 197
-136 59 70 196 131
-137 198 60 71 203
-138 88 204 129 42
-139 166 145 190 50
-140 110 125 51 108
-141 165 191 52 174
-142 173 53 152 175
-143 111 144 95 54
-144 55 143 188 178
-145 56 100 139 96
-146 57 181 182 162
-147 189 58 157 179
-148 101 59 114 107
-149 121 81 61 204
-150 198 62 107 197
-151 84 63 96 118
-152 113 64 97 142
-153 102 113 65 131
-154 198 72 84 195
-155 200 203 83 73
-156 201 74 195 75
-157 78 90 147 74
-158 79 80 104 194
-159 99 71 63 97
-160 68 112 94 64
-161 115 126 62 109
-162 146 126 94 63
-163 133 95 64 86
-164 199 200 108 65
-165 101 102 141 76
-166 77 83 139 97
-167 72 85 130 109
-168 199 91 201 86
-169 202 82 87 197
-170 88 89 100 199
-171 99 90 134 197
-172 66 203 130 131
-173 67 89 98 142
-174 79 85 75 141
-175 121 101 82 142
-176 78 91 102 120
-177 99 133 92 194
-178 66 144 94 87
-179 110 67 147 109
-180 112 69 118 196
-181 110 146 73 129
-182 80 146 93 76
-183 77 202 115 120
-184 79 112 200 117
-185 198 111 80 81
-186 89 90 104 196
-187 134 69 204 130
-188 78 144 114 96
-189 122 113 81 147
-190 125 95 139 85
-191 88 126 105 141
-192 92 204 117 120
-193 202 93 203 98
-194 177 124 158 106
-195 154 156 116 119
-196 136 180 127 186
-197 135 169 171 150
-198 154 137 150 185
-199 168 103 170 164
-200 155 116 184 164
-201 132 156 135 168
-202 103 169 193 183
-203 155 137 193 172
-204 187 192 138 149
0