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