Graph forms
for C4 [ 224, 13 ] = PX(14,4)
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On this page are computer-accessible forms for the graph C4[ 224, 13 ] =
PX(14,4).
(I) Following is a form readable by MAGMA:
g:=Graph<224|{ {16, 31}, {208, 223}, {192, 207}, {96, 111}, {80, 95}, {32, 47},
{48, 63}, {64, 79}, {112, 127}, {128, 143}, {144, 159}, {160, 175}, {176, 191},
{1, 17}, {193, 209}, {192, 208}, {97, 113}, {96, 112}, {32, 48}, {33, 49}, {64,
80}, {65, 81}, {128, 144}, {129, 145}, {160, 176}, {161, 177}, {2, 19}, {207,
222}, {194, 211}, {98, 115}, {79, 94}, {15, 30}, {34, 51}, {47, 62}, {66, 83},
{111, 126}, {130, 147}, {143, 158}, {162, 179}, {175, 190}, {14, 28}, {207,
221}, {206, 220}, {79, 93}, {78, 92}, {15, 29}, {46, 60}, {47, 61}, {110, 124},
{111, 125}, {142, 156}, {143, 157}, {174, 188}, {175, 189}, {1, 18}, {196, 215},
{193, 210}, {100, 119}, {97, 114}, {4, 23}, {33, 50}, {36, 55}, {65, 82}, {68,
87}, {129, 146}, {132, 151}, {161, 178}, {164, 183}, {12, 24}, {205, 217}, {204,
216}, {77, 89}, {76, 88}, {13, 25}, {44, 56}, {45, 57}, {108, 120}, {109, 121},
{140, 152}, {141, 153}, {172, 184}, {173, 185}, {3, 22}, {206, 219}, {195, 214},
{99, 118}, {78, 91}, {14, 27}, {35, 54}, {46, 59}, {67, 86}, {110, 123}, {131,
150}, {142, 155}, {163, 182}, {174, 187}, {2, 20}, {195, 213}, {194, 212}, {99,
117}, {98, 116}, {3, 21}, {34, 52}, {35, 53}, {66, 84}, {67, 85}, {130, 148},
{131, 149}, {162, 180}, {163, 181}, {8, 31}, {205, 218}, {200, 223}, {104, 127},
{77, 90}, {72, 95}, {13, 26}, {40, 63}, {45, 58}, {109, 122}, {136, 159}, {141,
154}, {168, 191}, {173, 186}, {9, 17}, {201, 209}, {105, 113}, {73, 81}, {41,
49}, {137, 145}, {169, 177}, {7, 30}, {202, 211}, {199, 222}, {106, 115}, {103,
126}, {74, 83}, {71, 94}, {10, 19}, {39, 62}, {42, 51}, {135, 158}, {138, 147},
{167, 190}, {170, 179}, {6, 28}, {199, 221}, {198, 220}, {103, 125}, {102, 124},
{71, 93}, {70, 92}, {7, 29}, {38, 60}, {39, 61}, {134, 156}, {135, 157}, {166,
188}, {167, 189}, {9, 18}, {204, 215}, {201, 210}, {105, 114}, {76, 87}, {73,
82}, {12, 23}, {41, 50}, {44, 55}, {108, 119}, {137, 146}, {140, 151}, {169,
178}, {172, 183}, {4, 24}, {197, 217}, {196, 216}, {101, 121}, {100, 120}, {69,
89}, {5, 25}, {36, 56}, {37, 57}, {68, 88}, {132, 152}, {133, 153}, {164, 184},
{165, 185}, {6, 27}, {203, 214}, {198, 219}, {107, 118}, {102, 123}, {75, 86},
{70, 91}, {11, 22}, {38, 59}, {43, 54}, {134, 155}, {139, 150}, {166, 187},
{171, 182}, {10, 20}, {203, 213}, {202, 212}, {107, 117}, {106, 116}, {75, 85},
{74, 84}, {11, 21}, {42, 52}, {43, 53}, {138, 148}, {139, 149}, {170, 180},
{171, 181}, {5, 26}, {197, 218}, {101, 122}, {69, 90}, {37, 58}, {133, 154},
{165, 186}, {8, 32}, {200, 224}, {88, 112}, {72, 96}, {24, 48}, {136, 160},
{152, 176}, {16, 32}, {208, 224}, {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}, {16,
216}, {1, 209}, {3, 210}, {14, 223}, {12, 222}, {13, 223}, {2, 209}, {7, 212},
{8, 220}, {9, 221}, {6, 211}, {11, 222}, {4, 210}, {5, 211}, {10, 221}, {15,
216}, {1, 217}, {3, 218}, {14, 215}, {12, 214}, {13, 215}, {2, 217}, {7, 220},
{8, 212}, {9, 213}, {6, 219}, {11, 214}, {4, 218}, {5, 219}, {10, 213}, {104,
128}, {120, 144}, {15, 224}, {16, 224}, {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: (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, 209)(34, 217)(35, 213)(36,
221)(37, 211)(38, 219)(39, 215)(40, 223)(41, 210)(42, 218)(43, 214)(44, 222)(45,
212)(46, 220)(47, 216)(48, 224)(49, 193)(50, 201)(51, 197)(52, 205)(53, 195)(54,
203)(55, 199)(56, 207)(57, 194)(58, 202)(59, 198)(60, 206)(61, 196)(62, 204)(63,
200)(64, 208)(65, 177)(66, 185)(67, 181)(68, 189)(69, 179)(70, 187)(71, 183)(72,
191)(73, 178)(74, 186)(75, 182)(76, 190)(77, 180)(78, 188)(79, 184)(80, 192)(81,
161)(82, 169)(83, 165)(84, 173)(85, 163)(86, 171)(87, 167)(88, 175)(89, 162)(90,
170)(91, 166)(92, 174)(93, 164)(94, 172)(95, 168)(96, 176)(97, 145)(98, 153)(99,
149)(100, 157)(101, 147)(102, 155)(103, 151)(104, 159)(105, 146)(106, 154)(107,
150)(108, 158)(109, 148)(110, 156)(111, 152)(112, 160)(113, 129)(114, 137)(115,
133)(116, 141)(117, 131)(118, 139)(119, 135)(120, 143)(121, 130)(122, 138)(123,
134)(124, 142)(125, 132)(126, 140)(127, 136)(128, 144) (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: (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)
c: (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)
d: (161, 162)(163, 164)(165, 166)(167, 168)(169, 170)(171, 172)(173, 174)(175,
176)(177, 179)(178, 180)(181, 183)(182, 184)(185, 187)(186, 188)(189, 191)(190,
192)(193, 197)(194, 198)(195, 199)(196, 200)(201, 205)(202, 206)(203, 207)(204,
208)(209, 217)(210, 218)(211, 219)(212, 220)(213, 221)(214, 222)(215, 223)(216,
224)
e: (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)
f: (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)
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: (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)
m: (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)
n1: (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)
a1: (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)
b1: (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)
c1: (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)(209, 210)(211, 212)(213, 214)(215, 216)(217,
218)(219, 220)(221, 222)(223, 224)
d1: (2, 9)(3, 5)(4, 13)(6, 11)(8, 15)(12, 14)(17, 209)(18, 217)(19, 213)(20,
221)(21, 211)(22, 219)(23, 215)(24, 223)(25, 210)(26, 218)(27, 214)(28, 222)(29,
212)(30, 220)(31, 216)(32, 224)(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)
C4[ 224, 13 ]
224
-1 209 17 18 217
-2 209 19 217 20
-3 22 210 218 21
-4 23 210 24 218
-5 211 25 26 219
-6 211 27 28 219
-7 220 212 29 30
-8 220 212 31 32
-9 221 213 17 18
-10 221 213 19 20
-11 22 222 214 21
-12 23 24 222 214
-13 25 223 26 215
-14 223 27 28 215
-15 224 29 216 30
-16 224 216 31 32
-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
-193 209 177 210 185
-194 177 211 212 185
-195 178 213 214 186
-196 178 215 216 186
-197 187 179 217 218
-198 187 220 179 219
-199 188 221 222 180
-200 188 223 180 224
-201 209 210 189 181
-202 189 211 212 181
-203 190 213 214 182
-204 190 182 215 216
-205 191 183 217 218
-206 220 191 183 219
-207 221 222 192 184
-208 223 224 192 184
-209 1 2 201 193
-210 3 201 4 193
-211 202 5 6 194
-212 202 7 194 8
-213 203 195 9 10
-214 11 12 203 195
-215 13 14 204 196
-216 15 16 204 196
-217 1 2 205 197
-218 3 4 205 197
-219 198 5 6 206
-220 198 7 8 206
-221 199 9 207 10
-222 11 12 199 207
-223 13 200 14 208
-224 200 15 16 208
0