Graph forms
for C4 [ 224, 14 ] = PX(7,5)
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On this page are computer-accessible forms for the graph C4[ 224, 14 ] =
PX(7,5).
(I) Following is a form readable by MAGMA:
g:=Graph<224|{ {32, 63}, {192, 223}, {96, 127}, {64, 95}, {128, 159}, {160,
191}, {1, 33}, {192, 224}, {64, 96}, {65, 97}, {128, 160}, {129, 161}, {2, 35},
{95, 126}, {31, 62}, {66, 99}, {130, 163}, {159, 190}, {30, 60}, {95, 125}, {94,
124}, {31, 61}, {158, 188}, {159, 189}, {1, 34}, {68, 103}, {4, 39}, {65, 98},
{129, 162}, {132, 167}, {28, 56}, {93, 121}, {92, 120}, {29, 57}, {156, 184},
{157, 185}, {3, 38}, {94, 123}, {30, 59}, {67, 102}, {131, 166}, {158, 187}, {2,
36}, {3, 37}, {66, 100}, {67, 101}, {130, 164}, {131, 165}, {8, 47}, {93, 122},
{72, 111}, {29, 58}, {136, 175}, {157, 186}, {24, 48}, {89, 113}, {88, 112},
{25, 49}, {152, 176}, {153, 177}, {7, 46}, {90, 115}, {71, 110}, {26, 51}, {135,
174}, {154, 179}, {6, 44}, {71, 109}, {70, 108}, {7, 45}, {134, 172}, {135,
173}, {25, 50}, {92, 119}, {89, 114}, {28, 55}, {153, 178}, {156, 183}, {4, 40},
{69, 105}, {68, 104}, {5, 41}, {132, 168}, {133, 169}, {6, 43}, {91, 118}, {70,
107}, {27, 54}, {134, 171}, {155, 182}, {26, 52}, {91, 117}, {90, 116}, {27,
53}, {154, 180}, {155, 181}, {5, 42}, {80, 127}, {69, 106}, {16, 63}, {133,
170}, {144, 191}, {17, 33}, {81, 97}, {145, 161}, {15, 62}, {82, 99}, {79, 126},
{18, 35}, {143, 190}, {146, 163}, {14, 60}, {79, 125}, {78, 124}, {15, 61},
{142, 188}, {143, 189}, {17, 34}, {84, 103}, {81, 98}, {20, 39}, {145, 162},
{148, 167}, {12, 56}, {77, 121}, {76, 120}, {13, 57}, {140, 184}, {141, 185},
{14, 59}, {83, 102}, {78, 123}, {19, 38}, {142, 187}, {147, 166}, {18, 36}, {83,
101}, {82, 100}, {19, 37}, {146, 164}, {147, 165}, {13, 58}, {88, 111}, {77,
122}, {24, 47}, {141, 186}, {152, 175}, {8, 48}, {73, 113}, {72, 112}, {9, 49},
{136, 176}, {137, 177}, {10, 51}, {87, 110}, {74, 115}, {23, 46}, {138, 179},
{151, 174}, {22, 44}, {87, 109}, {86, 108}, {23, 45}, {150, 172}, {151, 173},
{9, 50}, {76, 119}, {73, 114}, {12, 55}, {137, 178}, {140, 183}, {20, 40}, {85,
105}, {84, 104}, {21, 41}, {148, 168}, {149, 169}, {11, 54}, {86, 107}, {75,
118}, {22, 43}, {139, 182}, {150, 171}, {10, 52}, {75, 117}, {74, 116}, {11,
53}, {138, 180}, {139, 181}, {21, 42}, {85, 106}, {149, 170}, {16, 64}, {48,
96}, {144, 192}, {176, 224}, {32, 64}, {33, 65}, {160, 192}, {161, 193}, {34,
67}, {191, 222}, {63, 94}, {162, 195}, {62, 92}, {191, 221}, {190, 220}, {63,
93}, {33, 66}, {36, 71}, {161, 194}, {164, 199}, {60, 88}, {189, 217}, {188,
216}, {61, 89}, {35, 70}, {190, 219}, {62, 91}, {163, 198}, {34, 68}, {35, 69},
{162, 196}, {163, 197}, {40, 79}, {189, 218}, {61, 90}, {168, 207}, {56, 80},
{57, 81}, {184, 208}, {185, 209}, {39, 78}, {58, 83}, {167, 206}, {186, 211},
{38, 76}, {39, 77}, {166, 204}, {167, 205}, {57, 82}, {188, 215}, {60, 87},
{185, 210}, {36, 72}, {37, 73}, {164, 200}, {165, 201}, {38, 75}, {59, 86},
{166, 203}, {187, 214}, {58, 84}, {59, 85}, {186, 212}, {187, 213}, {37, 74},
{48, 95}, {165, 202}, {176, 223}, {49, 65}, {177, 193}, {47, 94}, {50, 67},
{175, 222}, {178, 195}, {46, 92}, {47, 93}, {174, 220}, {175, 221}, {49, 66},
{52, 71}, {177, 194}, {180, 199}, {44, 88}, {45, 89}, {172, 216}, {173, 217},
{46, 91}, {51, 70}, {174, 219}, {179, 198}, {50, 68}, {51, 69}, {178, 196},
{179, 197}, {45, 90}, {56, 79}, {173, 218}, {184, 207}, {40, 80}, {41, 81},
{168, 208}, {169, 209}, {42, 83}, {55, 78}, {170, 211}, {183, 206}, {54, 76},
{55, 77}, {182, 204}, {183, 205}, {41, 82}, {44, 87}, {169, 210}, {172, 215},
{52, 72}, {53, 73}, {180, 200}, {181, 201}, {43, 86}, {54, 75}, {171, 214},
{182, 203}, {42, 84}, {43, 85}, {170, 212}, {171, 213}, {53, 74}, {181, 202},
{1, 193}, {32, 224}, {3, 194}, {30, 223}, {28, 222}, {29, 223}, {2, 193}, {7,
196}, {24, 220}, {25, 221}, {6, 195}, {27, 222}, {4, 194}, {5, 195}, {15, 200},
{26, 221}, {16, 216}, {17, 217}, {14, 199}, {19, 218}, {12, 198}, {13, 199},
{18, 217}, {23, 220}, {8, 196}, {9, 197}, {11, 198}, {22, 219}, {20, 218}, {21,
219}, {10, 197}, {31, 208}, {1, 209}, {112, 160}, {80, 128}, {3, 210}, {30,
207}, {28, 206}, {29, 207}, {2, 209}, {7, 212}, {24, 204}, {25, 205}, {6, 211},
{27, 206}, {4, 210}, {5, 211}, {15, 216}, {26, 205}, {16, 200}, {17, 201}, {14,
215}, {19, 202}, {12, 214}, {13, 215}, {18, 201}, {23, 204}, {8, 212}, {9, 213},
{11, 214}, {22, 203}, {20, 202}, {21, 203}, {10, 213}, {96, 128}, {97, 129},
{98, 131}, {127, 158}, {126, 156}, {127, 157}, {97, 130}, {100, 135}, {124,
152}, {125, 153}, {99, 134}, {126, 155}, {98, 132}, {99, 133}, {104, 143}, {125,
154}, {120, 144}, {121, 145}, {103, 142}, {122, 147}, {102, 140}, {103, 141},
{121, 146}, {124, 151}, {100, 136}, {101, 137}, {102, 139}, {123, 150}, {122,
148}, {123, 149}, {101, 138}, {112, 159}, {32, 208}, {113, 129}, {111, 158},
{114, 131}, {110, 156}, {111, 157}, {113, 130}, {116, 135}, {108, 152}, {109,
153}, {110, 155}, {115, 134}, {114, 132}, {115, 133}, {109, 154}, {120, 143},
{104, 144}, {105, 145}, {106, 147}, {119, 142}, {118, 140}, {119, 141}, {105,
146}, {108, 151}, {116, 136}, {117, 137}, {107, 150}, {118, 139}, {106, 148},
{107, 149}, {31, 224}, {117, 138} }>;
(II) A more general form is to represent the graph as the orbit of {32, 63}
under the group generated by the following permutations:
a: (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, 99)(98, 100)(101,
103)(102, 104)(105, 107)(106, 108)(109, 111)(110, 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, 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)(177, 185)(178, 186)(179,
187)(180, 188)(181, 189)(182, 190)(183, 191)(184, 192)(193, 209)(194, 210)(195,
211)(196, 212)(197, 213)(198, 214)(199, 215)(200, 216)(201, 217)(202, 218)(203,
219)(204, 220)(205, 221)(206, 222)(207, 223)(208, 224) (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, 17)(3, 9)(4, 25)(6, 21)(7, 13)(8, 29)(10, 19)(12, 27)(14, 23)(16, 31)(20,
26)(24, 30)(33, 193)(34, 209)(35, 201)(36, 217)(37, 197)(38, 213)(39, 205)(40,
221)(41, 195)(42, 211)(43, 203)(44, 219)(45, 199)(46, 215)(47, 207)(48, 223)(49,
194)(50, 210)(51, 202)(52, 218)(53, 198)(54, 214)(55, 206)(56, 222)(57, 196)(58,
212)(59, 204)(60, 220)(61, 200)(62, 216)(63, 208)(64, 224)(65, 161)(66, 177)(67,
169)(68, 185)(69, 165)(70, 181)(71, 173)(72, 189)(73, 163)(74, 179)(75, 171)(76,
187)(77, 167)(78, 183)(79, 175)(80, 191)(81, 162)(82, 178)(83, 170)(84, 186)(85,
166)(86, 182)(87, 174)(88, 190)(89, 164)(90, 180)(91, 172)(92, 188)(93, 168)(94,
184)(95, 176)(96, 192)(97, 129)(98, 145)(99, 137)(100, 153)(101, 133)(102,
149)(103, 141)(104, 157)(105, 131)(106, 147)(107, 139)(108, 155)(109, 135)(110,
151)(111, 143)(112, 159)(113, 130)(114, 146)(115, 138)(116, 154)(117, 134)(118,
150)(119, 142)(120, 158)(121, 132)(122, 148)(123, 140)(124, 156)(125, 136)(126,
152)(127, 144)(128, 160)
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, 35)(34, 36)(37, 39)(38, 40)(41,
43)(42, 44)(45, 47)(46, 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,
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)(113, 121)(114,
122)(115, 123)(116, 124)(117, 125)(118, 126)(119, 127)(120, 128)(129, 145)(130,
146)(131, 147)(132, 148)(133, 149)(134, 150)(135, 151)(136, 152)(137, 153)(138,
154)(139, 155)(140, 156)(141, 157)(142, 158)(143, 159)(144, 160)
d: (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, 67)(66, 68)(69, 71)(70,
72)(73, 75)(74, 76)(77, 79)(78, 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, 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)(145, 153)(146, 154)(147, 155)(148, 156)(149, 157)(150,
158)(151, 159)(152, 160)(161, 177)(162, 178)(163, 179)(164, 180)(165, 181)(166,
182)(167, 183)(168, 184)(169, 185)(170, 186)(171, 187)(172, 188)(173, 189)(174,
190)(175, 191)(176, 192)
e: (1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 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, 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)(81,
89)(82, 90)(83, 91)(84, 92)(85, 93)(86, 94)(87, 95)(88, 96)(97, 113)(98,
114)(99, 115)(100, 116)(101, 117)(102, 118)(103, 119)(104, 120)(105, 121)(106,
122)(107, 123)(108, 124)(109, 125)(110, 126)(111, 127)(112, 128)(193, 194)(195,
196)(197, 198)(199, 200)(201, 202)(203, 204)(205, 206)(207, 208)(209, 210)(211,
212)(213, 214)(215, 216)(217, 218)(219, 220)(221, 222)(223, 224)
f: (1, 5)(2, 6)(3, 7)(4, 8)(9, 13)(10, 14)(11, 15)(12, 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)(49, 57)(50, 58)(51, 59)(52, 60)(53, 61)(54, 62)(55,
63)(56, 64)(65, 81)(66, 82)(67, 83)(68, 84)(69, 85)(70, 86)(71, 87)(72, 88)(73,
89)(74, 90)(75, 91)(76, 92)(77, 93)(78, 94)(79, 95)(80, 96)(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, 195)(194,
196)(197, 199)(198, 200)(201, 203)(202, 204)(205, 207)(206, 208)(209, 211)(210,
212)(213, 215)(214, 216)(217, 219)(218, 220)(221, 223)(222, 224)
g: (1, 33, 65, 97, 129, 161, 193)(2, 34, 66, 98, 130, 162, 194)(3, 35, 67, 99,
131, 163, 195)(4, 36, 68, 100, 132, 164, 196)(5, 37, 69, 101, 133, 165, 197)(6,
38, 70, 102, 134, 166, 198)(7, 39, 71, 103, 135, 167, 199)(8, 40, 72, 104, 136,
168, 200)(9, 41, 73, 105, 137, 169, 201)(10, 42, 74, 106, 138, 170, 202)(11, 43,
75, 107, 139, 171, 203)(12, 44, 76, 108, 140, 172, 204)(13, 45, 77, 109, 141,
173, 205)(14, 46, 78, 110, 142, 174, 206)(15, 47, 79, 111, 143, 175, 207)(16,
48, 80, 112, 144, 176, 208)(17, 49, 81, 113, 145, 177, 209)(18, 50, 82, 114,
146, 178, 210)(19, 51, 83, 115, 147, 179, 211)(20, 52, 84, 116, 148, 180,
212)(21, 53, 85, 117, 149, 181, 213)(22, 54, 86, 118, 150, 182, 214)(23, 55, 87,
119, 151, 183, 215)(24, 56, 88, 120, 152, 184, 216)(25, 57, 89, 121, 153, 185,
217)(26, 58, 90, 122, 154, 186, 218)(27, 59, 91, 123, 155, 187, 219)(28, 60, 92,
124, 156, 188, 220)(29, 61, 93, 125, 157, 189, 221)(30, 62, 94, 126, 158, 190,
222)(31, 63, 95, 127, 159, 191, 223)(32, 64, 96, 128, 160, 192, 224)
C4[ 224, 14 ]
224
-1 33 209 34 193
-2 209 35 36 193
-3 210 37 38 194
-4 210 39 40 194
-5 211 41 195 42
-6 44 211 195 43
-7 45 46 212 196
-8 47 212 48 196
-9 213 49 50 197
-10 213 51 52 197
-11 198 214 53 54
-12 55 198 56 214
-13 199 57 58 215
-14 199 59 60 215
-15 200 61 62 216
-16 200 216 63 64
-17 33 34 201 217
-18 35 36 201 217
-19 37 202 38 218
-20 202 39 40 218
-21 203 41 42 219
-22 44 203 43 219
-23 220 45 46 204
-24 220 47 48 204
-25 221 49 50 205
-26 221 51 205 52
-27 222 206 53 54
-28 55 56 222 206
-29 57 58 223 207
-30 223 59 60 207
-31 224 61 62 208
-32 224 63 64 208
-33 66 1 17 65
-34 1 67 68 17
-35 2 69 70 18
-36 2 71 72 18
-37 3 73 19 74
-38 3 19 75 76
-39 77 78 4 20
-40 79 80 4 20
-41 81 5 82 21
-42 5 83 84 21
-43 22 6 85 86
-44 22 88 6 87
-45 23 89 90 7
-46 23 91 92 7
-47 24 93 94 8
-48 24 95 8 96
-49 66 25 9 65
-50 67 68 25 9
-51 69 26 70 10
-52 26 71 72 10
-53 11 27 73 74
-54 11 27 75 76
-55 77 12 78 28
-56 12 79 80 28
-57 13 81 82 29
-58 13 83 29 84
-59 14 30 85 86
-60 88 14 30 87
-61 89 90 15 31
-62 91 15 92 31
-63 16 93 94 32
-64 16 95 96 32
-65 33 49 97 98
-66 33 99 100 49
-67 34 101 102 50
-68 34 103 104 50
-69 35 105 51 106
-70 35 51 107 108
-71 110 36 52 109
-72 111 112 36 52
-73 113 37 114 53
-74 37 115 116 53
-75 38 117 118 54
-76 38 119 54 120
-77 55 121 122 39
-78 55 123 124 39
-79 56 125 126 40
-80 56 127 40 128
-81 57 41 97 98
-82 99 100 57 41
-83 101 58 102 42
-84 58 103 104 42
-85 59 105 106 43
-86 59 107 108 43
-87 44 110 60 109
-88 44 111 112 60
-89 45 113 114 61
-90 45 115 61 116
-91 46 62 117 118
-92 46 62 119 120
-93 121 122 47 63
-94 123 47 124 63
-95 48 125 126 64
-96 48 127 128 64
-97 81 129 130 65
-98 132 81 65 131
-99 66 133 134 82
-100 66 135 136 82
-101 67 137 83 138
-102 67 83 139 140
-103 68 84 141 142
-104 143 144 68 84
-105 145 69 146 85
-106 69 147 148 85
-107 70 149 150 86
-108 70 151 86 152
-109 154 71 87 153
-110 155 156 71 87
-111 88 157 158 72
-112 88 159 72 160
-113 89 73 129 130
-114 132 89 73 131
-115 133 90 134 74
-116 90 135 136 74
-117 91 137 138 75
-118 91 139 140 75
-119 92 141 76 142
-120 143 144 92 76
-121 77 145 146 93
-122 77 147 93 148
-123 78 94 149 150
-124 78 94 151 152
-125 154 79 95 153
-126 155 79 156 95
-127 80 157 158 96
-128 80 159 160 96
-129 113 161 162 97
-130 113 97 163 164
-131 165 166 114 98
-132 167 168 114 98
-133 99 169 115 170
-134 99 115 171 172
-135 100 116 173 174
-136 176 100 116 175
-137 177 101 178 117
-138 101 179 180 117
-139 102 181 182 118
-140 102 183 118 184
-141 103 119 185 186
-142 187 188 103 119
-143 189 190 104 120
-144 191 104 192 120
-145 121 105 161 162
-146 121 105 163 164
-147 165 122 166 106
-148 122 167 168 106
-149 123 169 170 107
-150 123 171 172 107
-151 124 173 108 174
-152 176 124 108 175
-153 177 178 125 109
-154 179 125 180 109
-155 110 126 181 182
-156 110 126 183 184
-157 111 127 185 186
-158 187 111 188 127
-159 112 189 190 128
-160 112 191 192 128
-161 145 193 194 129
-162 145 129 195 196
-163 198 146 130 197
-164 199 200 146 130
-165 201 147 202 131
-166 147 203 204 131
-167 132 148 205 206
-168 132 148 207 208
-169 209 133 210 149
-170 133 211 212 149
-171 134 213 214 150
-172 134 215 150 216
-173 135 151 217 218
-174 220 135 151 219
-175 221 222 136 152
-176 223 136 224 152
-177 137 193 194 153
-178 137 195 196 153
-179 154 198 138 197
-180 154 199 200 138
-181 155 201 202 139
-182 155 203 204 139
-183 156 205 140 206
-184 156 140 207 208
-185 209 210 157 141
-186 211 157 212 141
-187 158 213 214 142
-188 158 215 216 142
-189 143 159 217 218
-190 143 220 159 219
-191 144 221 222 160
-192 144 223 224 160
-193 1 177 2 161
-194 177 3 4 161
-195 178 5 6 162
-196 178 7 8 162
-197 179 9 163 10
-198 11 12 179 163
-199 13 14 180 164
-200 15 180 16 164
-201 165 181 17 18
-202 165 181 19 20
-203 22 166 182 21
-204 23 166 24 182
-205 167 25 26 183
-206 167 27 28 183
-207 168 29 30 184
-208 168 184 31 32
-209 1 2 169 185
-210 3 4 169 185
-211 5 170 6 186
-212 170 7 8 186
-213 187 171 9 10
-214 11 187 12 171
-215 188 13 14 172
-216 188 15 16 172
-217 189 17 18 173
-218 189 19 173 20
-219 22 190 174 21
-220 23 24 190 174
-221 25 26 191 175
-222 191 27 28 175
-223 176 192 29 30
-224 176 192 31 32
0