Graph forms
for C4 [ 208, 14 ] = PX(13,4)
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On this page are computer-accessible forms for the graph C4[ 208, 14 ] =
PX(13,4).
(I) Following is a form readable by MAGMA:
g:=Graph<208|{ {16, 31}, {192, 207}, {96, 111}, {80, 95}, {32, 47}, {48, 63},
{64, 79}, {112, 127}, {128, 143}, {144, 159}, {160, 175}, {176, 191}, {1, 17},
{192, 208}, {97, 113}, {96, 112}, {32, 48}, {33, 49}, {64, 80}, {65, 81}, {128,
144}, {129, 145}, {160, 176}, {161, 177}, {2, 19}, {98, 115}, {79, 94}, {15,
30}, {34, 51}, {47, 62}, {66, 83}, {111, 126}, {130, 147}, {143, 158}, {162,
179}, {175, 190}, {14, 28}, {79, 93}, {78, 92}, {15, 29}, {46, 60}, {47, 61},
{110, 124}, {111, 125}, {142, 156}, {143, 157}, {174, 188}, {175, 189}, {1, 18},
{100, 119}, {97, 114}, {4, 23}, {33, 50}, {36, 55}, {65, 82}, {68, 87}, {129,
146}, {132, 151}, {161, 178}, {164, 183}, {12, 24}, {77, 89}, {76, 88}, {13,
25}, {44, 56}, {45, 57}, {108, 120}, {109, 121}, {140, 152}, {141, 153}, {172,
184}, {173, 185}, {3, 22}, {99, 118}, {78, 91}, {14, 27}, {35, 54}, {46, 59},
{67, 86}, {110, 123}, {131, 150}, {142, 155}, {163, 182}, {174, 187}, {2, 20},
{99, 117}, {98, 116}, {3, 21}, {34, 52}, {35, 53}, {66, 84}, {67, 85}, {130,
148}, {131, 149}, {162, 180}, {163, 181}, {8, 31}, {104, 127}, {77, 90}, {72,
95}, {13, 26}, {40, 63}, {45, 58}, {109, 122}, {136, 159}, {141, 154}, {168,
191}, {173, 186}, {9, 17}, {105, 113}, {73, 81}, {41, 49}, {137, 145}, {169,
177}, {7, 30}, {106, 115}, {103, 126}, {74, 83}, {71, 94}, {10, 19}, {39, 62},
{42, 51}, {135, 158}, {138, 147}, {167, 190}, {170, 179}, {6, 28}, {103, 125},
{102, 124}, {71, 93}, {70, 92}, {7, 29}, {38, 60}, {39, 61}, {134, 156}, {135,
157}, {166, 188}, {167, 189}, {9, 18}, {105, 114}, {76, 87}, {73, 82}, {12, 23},
{41, 50}, {44, 55}, {108, 119}, {137, 146}, {140, 151}, {169, 178}, {172, 183},
{4, 24}, {101, 121}, {100, 120}, {69, 89}, {68, 88}, {5, 25}, {36, 56}, {37,
57}, {132, 152}, {133, 153}, {164, 184}, {165, 185}, {6, 27}, {102, 123}, {75,
86}, {70, 91}, {11, 22}, {38, 59}, {43, 54}, {107, 118}, {134, 155}, {139, 150},
{166, 187}, {171, 182}, {10, 20}, {107, 117}, {106, 116}, {75, 85}, {74, 84},
{11, 21}, {42, 52}, {43, 53}, {138, 148}, {139, 149}, {170, 180}, {171, 181},
{5, 26}, {101, 122}, {69, 90}, {37, 58}, {133, 154}, {165, 186}, {8, 32}, {88,
112}, {72, 96}, {24, 48}, {136, 160}, {152, 176}, {16, 32}, {81, 97}, {80, 96},
{17, 33}, {144, 160}, {145, 161}, {18, 35}, {95, 110}, {82, 99}, {31, 46}, {146,
163}, {159, 174}, {30, 44}, {95, 109}, {94, 108}, {31, 45}, {158, 172}, {159,
173}, {17, 34}, {84, 103}, {81, 98}, {20, 39}, {145, 162}, {148, 167}, {28, 40},
{93, 105}, {92, 104}, {29, 41}, {156, 168}, {157, 169}, {19, 38}, {94, 107},
{83, 102}, {30, 43}, {147, 166}, {158, 171}, {18, 36}, {83, 101}, {82, 100},
{19, 37}, {146, 164}, {147, 165}, {24, 47}, {93, 106}, {88, 111}, {29, 42},
{152, 175}, {157, 170}, {25, 33}, {89, 97}, {153, 161}, {23, 46}, {90, 99}, {87,
110}, {26, 35}, {151, 174}, {154, 163}, {22, 44}, {87, 109}, {86, 108}, {23,
45}, {150, 172}, {151, 173}, {25, 34}, {92, 103}, {89, 98}, {28, 39}, {153,
162}, {156, 167}, {20, 40}, {85, 105}, {84, 104}, {21, 41}, {148, 168}, {149,
169}, {22, 43}, {91, 102}, {86, 107}, {27, 38}, {150, 171}, {155, 166}, {26,
36}, {91, 101}, {90, 100}, {27, 37}, {154, 164}, {155, 165}, {21, 42}, {85,
106}, {149, 170}, {40, 64}, {184, 208}, {56, 80}, {168, 192}, {48, 64}, {49,
65}, {176, 192}, {177, 193}, {50, 67}, {191, 206}, {63, 78}, {178, 195}, {62,
76}, {191, 205}, {190, 204}, {63, 77}, {49, 66}, {52, 71}, {177, 194}, {180,
199}, {60, 72}, {189, 201}, {188, 200}, {61, 73}, {51, 70}, {190, 203}, {62,
75}, {179, 198}, {50, 68}, {51, 69}, {178, 196}, {179, 197}, {56, 79}, {189,
202}, {184, 207}, {61, 74}, {57, 65}, {185, 193}, {55, 78}, {186, 195}, {183,
206}, {58, 67}, {54, 76}, {183, 205}, {182, 204}, {55, 77}, {57, 66}, {188,
199}, {185, 194}, {60, 71}, {52, 72}, {53, 73}, {180, 200}, {181, 201}, {54,
75}, {187, 198}, {182, 203}, {59, 70}, {58, 68}, {187, 197}, {186, 196}, {59,
69}, {53, 74}, {181, 202}, {1, 193}, {16, 208}, {3, 194}, {14, 207}, {12, 206},
{13, 207}, {2, 193}, {7, 196}, {8, 204}, {9, 205}, {6, 195}, {11, 206}, {4,
194}, {5, 195}, {10, 205}, {15, 200}, {1, 201}, {3, 202}, {14, 199}, {12, 198},
{13, 199}, {2, 201}, {7, 204}, {8, 196}, {9, 197}, {6, 203}, {11, 198}, {4,
202}, {5, 203}, {10, 197}, {16, 200}, {15, 208}, {104, 128}, {120, 144}, {112,
128}, {113, 129}, {114, 131}, {127, 142}, {126, 140}, {127, 141}, {113, 130},
{116, 135}, {124, 136}, {125, 137}, {115, 134}, {126, 139}, {114, 132}, {115,
133}, {120, 143}, {125, 138}, {121, 129}, {119, 142}, {122, 131}, {118, 140},
{119, 141}, {121, 130}, {124, 135}, {116, 136}, {117, 137}, {118, 139}, {123,
134}, {122, 132}, {123, 133}, {117, 138} }>;
(II) A more general form is to represent the graph as the orbit of {16, 31}
under the group generated by the following permutations:
a: (49, 50)(51, 52)(53, 54)(55, 56)(57, 58)(59, 60)(61, 62)(63, 64)(65, 67)(66,
68)(69, 71)(70, 72)(73, 75)(74, 76)(77, 79)(78, 80)(81, 85)(82, 86)(83, 87)(84,
88)(89, 93)(90, 94)(91, 95)(92, 96)(97, 105)(98, 106)(99, 107)(100, 108)(101,
109)(102, 110)(103, 111)(104, 112) (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: (17, 18)(19, 20)(21, 22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 35)(34,
36)(37, 39)(38, 40)(41, 43)(42, 44)(45, 47)(46, 48)(49, 53)(50, 54)(51, 55)(52,
56)(57, 61)(58, 62)(59, 63)(60, 64)(65, 73)(66, 74)(67, 75)(68, 76)(69, 77)(70,
78)(71, 79)(72, 80)
c: (129, 130)(131, 132)(133, 134)(135, 136)(137, 138)(139, 140)(141, 142)(143,
144)(145, 147)(146, 148)(149, 151)(150, 152)(153, 155)(154, 156)(157, 159)(158,
160)(161, 165)(162, 166)(163, 167)(164, 168)(169, 173)(170, 174)(171, 175)(172,
176)(177, 185)(178, 186)(179, 187)(180, 188)(181, 189)(182, 190)(183, 191)(184,
192)
d: (145, 146)(147, 148)(149, 150)(151, 152)(153, 154)(155, 156)(157, 158)(159,
160)(161, 163)(162, 164)(165, 167)(166, 168)(169, 171)(170, 172)(173, 175)(174,
176)(177, 181)(178, 182)(179, 183)(180, 184)(185, 189)(186, 190)(187, 191)(188,
192)(193, 201)(194, 202)(195, 203)(196, 204)(197, 205)(198, 206)(199, 207)(200,
208)
e: (97, 98)(99, 100)(101, 102)(103, 104)(105, 106)(107, 108)(109, 110)(111,
112)(113, 115)(114, 116)(117, 119)(118, 120)(121, 123)(122, 124)(125, 127)(126,
128)(129, 133)(130, 134)(131, 135)(132, 136)(137, 141)(138, 142)(139, 143)(140,
144)(145, 153)(146, 154)(147, 155)(148, 156)(149, 157)(150, 158)(151, 159)(152,
160)
f: (113, 114)(115, 116)(117, 118)(119, 120)(121, 122)(123, 124)(125, 126)(127,
128)(129, 131)(130, 132)(133, 135)(134, 136)(137, 139)(138, 140)(141, 143)(142,
144)(145, 149)(146, 150)(147, 151)(148, 152)(153, 157)(154, 158)(155, 159)(156,
160)(161, 169)(162, 170)(163, 171)(164, 172)(165, 173)(166, 174)(167, 175)(168,
176)
g: (33, 34)(35, 36)(37, 38)(39, 40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 51)(50,
52)(53, 55)(54, 56)(57, 59)(58, 60)(61, 63)(62, 64)(65, 69)(66, 70)(67, 71)(68,
72)(73, 77)(74, 78)(75, 79)(76, 80)(81, 89)(82, 90)(83, 91)(84, 92)(85, 93)(86,
94)(87, 95)(88, 96)
h: (81, 82)(83, 84)(85, 86)(87, 88)(89, 90)(91, 92)(93, 94)(95, 96)(97, 99)(98,
100)(101, 103)(102, 104)(105, 107)(106, 108)(109, 111)(110, 112)(113, 117)(114,
118)(115, 119)(116, 120)(121, 125)(122, 126)(123, 127)(124, 128)(129, 137)(130,
138)(131, 139)(132, 140)(133, 141)(134, 142)(135, 143)(136, 144)
m: (65, 66)(67, 68)(69, 70)(71, 72)(73, 74)(75, 76)(77, 78)(79, 80)(81, 83)(82,
84)(85, 87)(86, 88)(89, 91)(90, 92)(93, 95)(94, 96)(97, 101)(98, 102)(99,
103)(100, 104)(105, 109)(106, 110)(107, 111)(108, 112)(113, 121)(114, 122)(115,
123)(116, 124)(117, 125)(118, 126)(119, 127)(120, 128)
n1: (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 19)(18, 20)(21,
23)(22, 24)(25, 27)(26, 28)(29, 31)(30, 32)(33, 37)(34, 38)(35, 39)(36, 40)(41,
45)(42, 46)(43, 47)(44, 48)(49, 57)(50, 58)(51, 59)(52, 60)(53, 61)(54, 62)(55,
63)(56, 64)
a1: (1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 21)(18, 22)(19,
23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 41)(34, 42)(35, 43)(36, 44)(37,
45)(38, 46)(39, 47)(40, 48)(193, 194)(195, 196)(197, 198)(199, 200)(201,
202)(203, 204)(205, 206)(207, 208)
b1: (1, 17)(2, 25)(3, 21)(4, 29)(5, 19)(6, 27)(7, 23)(8, 31)(9, 18)(10, 26)(11,
22)(12, 30)(13, 20)(14, 28)(15, 24)(16, 32)(33, 193)(34, 201)(35, 197)(36,
205)(37, 195)(38, 203)(39, 199)(40, 207)(41, 194)(42, 202)(43, 198)(44, 206)(45,
196)(46, 204)(47, 200)(48, 208)(49, 177)(50, 185)(51, 181)(52, 189)(53, 179)(54,
187)(55, 183)(56, 191)(57, 178)(58, 186)(59, 182)(60, 190)(61, 180)(62, 188)(63,
184)(64, 192)(65, 161)(66, 169)(67, 165)(68, 173)(69, 163)(70, 171)(71, 167)(72,
175)(73, 162)(74, 170)(75, 166)(76, 174)(77, 164)(78, 172)(79, 168)(80, 176)(81,
145)(82, 153)(83, 149)(84, 157)(85, 147)(86, 155)(87, 151)(88, 159)(89, 146)(90,
154)(91, 150)(92, 158)(93, 148)(94, 156)(95, 152)(96, 160)(97, 129)(98, 137)(99,
133)(100, 141)(101, 131)(102, 139)(103, 135)(104, 143)(105, 130)(106, 138)(107,
134)(108, 142)(109, 132)(110, 140)(111, 136)(112, 144)(114, 121)(115, 117)(116,
125)(118, 123)(120, 127)(124, 126)
c1: (2, 9)(3, 5)(4, 13)(6, 11)(8, 15)(12, 14)(17, 193)(18, 201)(19, 197)(20,
205)(21, 195)(22, 203)(23, 199)(24, 207)(25, 194)(26, 202)(27, 198)(28, 206)(29,
196)(30, 204)(31, 200)(32, 208)(33, 177)(34, 185)(35, 181)(36, 189)(37, 179)(38,
187)(39, 183)(40, 191)(41, 178)(42, 186)(43, 182)(44, 190)(45, 180)(46, 188)(47,
184)(48, 192)(49, 161)(50, 169)(51, 165)(52, 173)(53, 163)(54, 171)(55, 167)(56,
175)(57, 162)(58, 170)(59, 166)(60, 174)(61, 164)(62, 172)(63, 168)(64, 176)(65,
145)(66, 153)(67, 149)(68, 157)(69, 147)(70, 155)(71, 151)(72, 159)(73, 146)(74,
154)(75, 150)(76, 158)(77, 148)(78, 156)(79, 152)(80, 160)(81, 129)(82, 137)(83,
133)(84, 141)(85, 131)(86, 139)(87, 135)(88, 143)(89, 130)(90, 138)(91, 134)(92,
142)(93, 132)(94, 140)(95, 136)(96, 144)(97, 113)(98, 121)(99, 117)(100,
125)(101, 115)(102, 123)(103, 119)(104, 127)(105, 114)(106, 122)(107, 118)(108,
126)(109, 116)(110, 124)(111, 120)(112, 128)
C4[ 208, 14 ]
208
-1 201 17 193 18
-2 201 193 19 20
-3 22 202 194 21
-4 23 24 202 194
-5 25 26 203 195
-6 27 203 28 195
-7 204 29 30 196
-8 204 31 196 32
-9 17 18 205 197
-10 205 19 20 197
-11 22 198 206 21
-12 198 23 24 206
-13 199 25 26 207
-14 199 27 28 207
-15 200 29 30 208
-16 200 31 32 208
-17 33 1 34 9
-18 1 35 36 9
-19 2 37 38 10
-20 2 39 40 10
-21 11 3 41 42
-22 11 44 3 43
-23 12 45 46 4
-24 12 47 4 48
-25 33 34 13 5
-26 13 35 36 5
-27 14 37 38 6
-28 14 6 39 40
-29 15 7 41 42
-30 44 15 7 43
-31 45 46 16 8
-32 47 48 16 8
-33 25 49 17 50
-34 25 17 51 52
-35 26 18 53 54
-36 55 56 26 18
-37 57 58 27 19
-38 59 27 60 19
-39 28 61 62 20
-40 28 63 20 64
-41 49 50 29 21
-42 29 51 52 21
-43 22 30 53 54
-44 22 55 56 30
-45 23 57 58 31
-46 23 59 60 31
-47 24 61 62 32
-48 24 63 64 32
-49 33 66 41 65
-50 33 67 68 41
-51 34 69 70 42
-52 34 71 72 42
-53 35 73 74 43
-54 35 75 43 76
-55 44 77 78 36
-56 44 79 36 80
-57 66 45 37 65
-58 45 67 68 37
-59 46 69 70 38
-60 46 38 71 72
-61 47 39 73 74
-62 47 39 75 76
-63 77 78 48 40
-64 79 80 48 40
-65 57 81 49 82
-66 57 49 83 84
-67 58 50 85 86
-68 88 58 50 87
-69 89 90 59 51
-70 91 59 92 51
-71 60 93 94 52
-72 60 95 52 96
-73 81 82 61 53
-74 61 83 84 53
-75 62 85 86 54
-76 88 62 54 87
-77 55 89 90 63
-78 55 91 92 63
-79 56 93 94 64
-80 56 95 96 64
-81 73 97 65 98
-82 99 100 73 65
-83 66 101 102 74
-84 66 103 104 74
-85 67 105 106 75
-86 67 107 75 108
-87 110 68 76 109
-88 111 68 112 76
-89 77 69 97 98
-90 77 99 100 69
-91 78 101 102 70
-92 78 70 103 104
-93 79 71 105 106
-94 79 71 107 108
-95 110 80 72 109
-96 111 112 80 72
-97 89 113 81 114
-98 89 81 115 116
-99 90 82 117 118
-100 90 82 119 120
-101 121 122 91 83
-102 123 91 124 83
-103 92 125 126 84
-104 92 127 84 128
-105 113 114 93 85
-106 93 115 116 85
-107 94 117 118 86
-108 94 86 119 120
-109 121 122 95 87
-110 123 124 95 87
-111 88 125 126 96
-112 88 127 128 96
-113 105 129 97 130
-114 132 105 97 131
-115 133 134 106 98
-116 135 136 106 98
-117 99 137 138 107
-118 99 139 107 140
-119 100 108 141 142
-120 143 100 144 108
-121 101 129 130 109
-122 132 101 109 131
-123 110 133 134 102
-124 110 102 135 136
-125 111 103 137 138
-126 111 103 139 140
-127 112 104 141 142
-128 143 144 112 104
-129 121 145 113 146
-130 121 113 147 148
-131 122 114 149 150
-132 122 114 151 152
-133 154 123 115 153
-134 155 123 156 115
-135 124 157 158 116
-136 124 159 116 160
-137 145 146 125 117
-138 125 147 148 117
-139 126 149 150 118
-140 126 118 151 152
-141 154 127 119 153
-142 155 156 127 119
-143 157 158 128 120
-144 159 160 128 120
-145 137 161 129 162
-146 137 129 163 164
-147 165 166 138 130
-148 167 168 138 130
-149 169 170 139 131
-150 171 139 172 131
-151 132 140 173 174
-152 132 176 140 175
-153 133 161 162 141
-154 133 141 163 164
-155 165 166 134 142
-156 134 167 168 142
-157 143 135 169 170
-158 143 135 171 172
-159 144 136 173 174
-160 176 144 136 175
-161 177 145 178 153
-162 145 179 180 153
-163 154 146 181 182
-164 154 146 183 184
-165 155 147 185 186
-166 187 155 188 147
-167 156 189 190 148
-168 156 191 148 192
-169 177 178 157 149
-170 157 179 180 149
-171 158 181 182 150
-172 158 150 183 184
-173 159 151 185 186
-174 187 188 159 151
-175 189 190 160 152
-176 191 192 160 152
-177 169 193 161 194
-178 169 161 195 196
-179 198 170 162 197
-180 199 200 170 162
-181 201 202 171 163
-182 203 171 204 163
-183 172 205 206 164
-184 172 207 164 208
-185 165 193 194 173
-186 165 173 195 196
-187 198 166 174 197
-188 166 199 200 174
-189 167 201 202 175
-190 167 203 204 175
-191 176 168 205 206
-192 176 168 207 208
-193 1 177 2 185
-194 177 3 4 185
-195 178 5 6 186
-196 178 7 8 186
-197 187 179 9 10
-198 11 187 12 179
-199 188 13 14 180
-200 188 15 180 16
-201 1 2 189 181
-202 189 3 4 181
-203 190 5 6 182
-204 190 182 7 8
-205 191 183 9 10
-206 11 12 191 183
-207 13 14 192 184
-208 15 16 192 184
0