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