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