Graph forms
for C4 [ 240, 158 ] = SDD(PS(12,5;2))
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On this page are computer-accessible forms for the graph C4[ 240, 158 ] =
SDD(PS(12,5;2)).
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {24, 127}, {22, 126}, {23, 127}, {20, 125}, {21, 126}, {16, 124},
{17, 125}, {19, 125}, {17, 126}, {18, 125}, {11, 123}, {10, 123}, {13, 124}, {8,
122}, {9, 123}, {14, 124}, {15, 124}, {9, 127}, {12, 123}, {1, 121}, {3, 121},
{2, 121}, {5, 126}, {6, 122}, {4, 121}, {7, 122}, {1, 127}, {5, 122}, {2, 130},
{94, 222}, {95, 223}, {112, 240}, {92, 221}, {97, 224}, {99, 226}, {100, 229},
{106, 235}, {98, 224}, {99, 225}, {111, 237}, {88, 219}, {93, 222}, {104, 235},
{98, 230}, {102, 226}, {103, 227}, {108, 232}, {89, 220}, {90, 223}, {96, 229},
{97, 228}, {100, 225}, {109, 232}, {6, 128}, {118, 240}, {88, 222}, {90, 220},
{91, 221}, {80, 215}, {89, 222}, {101, 226}, {110, 233}, {85, 221}, {110, 230},
{111, 231}, {81, 216}, {108, 229}, {82, 216}, {83, 217}, {87, 221}, {10, 129},
{80, 219}, {104, 227}, {109, 230}, {14, 130}, {86, 218}, {87, 219}, {101, 233},
{102, 234}, {107, 231}, {13, 128}, {84, 217}, {103, 234}, {105, 228}, {81, 223},
{105, 231}, {106, 228}, {107, 229}, {64, 207}, {85, 218}, {21, 133}, {68, 212},
{67, 211}, {22, 134}, {74, 218}, {23, 134}, {69, 212}, {65, 208}, {73, 216},
{65, 211}, {67, 209}, {66, 208}, {75, 217}, {78, 220}, {18, 129}, {120, 235},
{70, 213}, {70, 210}, {71, 211}, {72, 220}, {66, 215}, {68, 209}, {31, 137},
{64, 215}, {120, 239}, {69, 210}, {76, 219}, {77, 218}, {79, 216}, {112, 231},
{27, 131}, {28, 132}, {78, 214}, {79, 215}, {25, 128}, {113, 232}, {29, 132},
{76, 213}, {25, 131}, {115, 233}, {114, 232}, {26, 128}, {27, 129}, {30, 133},
{119, 236}, {117, 238}, {116, 239}, {72, 211}, {77, 214}, {30, 130}, {119, 235},
{118, 234}, {114, 238}, {31, 131}, {26, 135}, {116, 233}, {113, 236}, {28, 129},
{73, 212}, {71, 217}, {115, 237}, {74, 212}, {75, 213}, {24, 135}, {117, 234},
{29, 130}, {32, 191}, {30, 190}, {51, 147}, {31, 191}, {38, 134}, {39, 135},
{45, 141}, {16, 177}, {28, 189}, {36, 133}, {41, 136}, {19, 177}, {54, 148},
{52, 150}, {42, 136}, {43, 137}, {47, 141}, {24, 187}, {29, 190}, {32, 131},
{37, 134}, {40, 139}, {27, 191}, {62, 154}, {61, 153}, {55, 147}, {46, 138},
{47, 139}, {25, 188}, {63, 154}, {33, 132}, {44, 137}, {20, 178}, {25, 191},
{26, 188}, {27, 189}, {34, 132}, {35, 133}, {41, 143}, {45, 138}, {53, 146},
{16, 184}, {17, 185}, {34, 138}, {33, 136}, {60, 149}, {59, 146}, {57, 144},
{19, 185}, {59, 145}, {58, 144}, {35, 137}, {38, 140}, {17, 186}, {18, 185},
{22, 186}, {63, 147}, {62, 146}, {58, 150}, {23, 187}, {32, 140}, {20, 185},
{60, 145}, {57, 148}, {56, 149}, {18, 189}, {61, 146}, {21, 186}, {36, 139},
{37, 138}, {39, 136}, {40, 135}, {6, 182}, {14, 190}, {3, 178}, {4, 181}, {7,
182}, {13, 188}, {9, 187}, {82, 224}, {5, 182}, {83, 224}, {1, 181}, {7, 179},
{13, 184}, {84, 225}, {3, 181}, {14, 184}, {2, 181}, {56, 143}, {4, 179}, {10,
189}, {15, 184}, {86, 225}, {12, 180}, {55, 143}, {54, 142}, {91, 227}, {52,
141}, {1, 187}, {6, 188}, {42, 144}, {92, 230}, {94, 228}, {11, 176}, {53, 142},
{12, 183}, {43, 144}, {48, 139}, {2, 190}, {8, 180}, {11, 183}, {95, 227}, {10,
183}, {50, 143}, {49, 140}, {44, 145}, {8, 182}, {51, 141}, {50, 140}, {9, 183},
{48, 142}, {5, 186}, {49, 142}, {15, 176}, {46, 145}, {93, 226}, {96, 223},
{102, 166}, {114, 178}, {103, 167}, {107, 171}, {108, 172}, {100, 165}, {113,
176}, {105, 168}, {109, 172}, {105, 171}, {118, 180}, {115, 177}, {106, 168},
{107, 169}, {96, 163}, {101, 166}, {110, 173}, {110, 170}, {111, 171}, {112,
180}, {97, 164}, {99, 166}, {106, 175}, {108, 169}, {98, 164}, {99, 165}, {88,
159}, {119, 176}, {117, 178}, {116, 179}, {104, 175}, {109, 170}, {86, 158},
{87, 159}, {98, 170}, {101, 173}, {102, 174}, {84, 157}, {96, 169}, {97, 168},
{103, 174}, {80, 155}, {120, 179}, {85, 158}, {81, 156}, {100, 169}, {82, 156},
{83, 157}, {80, 159}, {104, 167}, {70, 150}, {71, 151}, {68, 149}, {73, 152},
{74, 152}, {75, 153}, {64, 147}, {69, 150}, {76, 159}, {77, 158}, {79, 156},
{21, 193}, {67, 151}, {22, 194}, {74, 158}, {78, 154}, {79, 155}, {23, 194},
{65, 148}, {73, 156}, {76, 153}, {65, 151}, {67, 149}, {66, 148}, {75, 157},
{77, 154}, {120, 175}, {118, 174}, {119, 175}, {26, 195}, {116, 173}, {66, 155},
{31, 197}, {71, 157}, {24, 195}, {117, 174}, {64, 155}, {112, 171}, {28, 192},
{68, 152}, {29, 192}, {69, 152}, {113, 172}, {111, 177}, {115, 173}, {114, 172},
{30, 193}, {72, 151}, {70, 153}, {33, 192}, {44, 205}, {34, 192}, {35, 193},
{41, 203}, {15, 236}, {36, 199}, {37, 198}, {39, 196}, {46, 205}, {34, 198},
{38, 194}, {39, 195}, {45, 201}, {33, 196}, {36, 193}, {35, 197}, {54, 208},
{52, 210}, {42, 204}, {47, 201}, {11, 236}, {37, 194}, {43, 204}, {7, 239}, {72,
160}, {62, 214}, {61, 213}, {58, 210}, {32, 200}, {46, 198}, {47, 199}, {44,
197}, {63, 214}, {57, 208}, {56, 209}, {4, 239}, {40, 195}, {45, 198}, {3, 238},
{60, 209}, {41, 196}, {38, 200}, {42, 196}, {43, 197}, {78, 160}, {40, 199},
{62, 206}, {63, 207}, {60, 205}, {84, 165}, {81, 163}, {56, 203}, {61, 206},
{86, 165}, {85, 161}, {57, 204}, {59, 206}, {58, 204}, {59, 205}, {82, 164},
{87, 161}, {92, 170}, {94, 168}, {48, 199}, {83, 164}, {8, 240}, {55, 207}, {95,
167}, {49, 200}, {50, 203}, {89, 160}, {90, 163}, {20, 238}, {51, 201}, {50,
200}, {48, 202}, {88, 162}, {90, 160}, {91, 161}, {49, 202}, {53, 206}, {89,
162}, {93, 166}, {12, 240}, {55, 203}, {54, 202}, {51, 207}, {91, 167}, {94,
162}, {95, 163}, {16, 237}, {52, 201}, {92, 161}, {19, 237}, {53, 202}, {93,
162} }>;
(II) A more general form is to represent the graph as the orbit of {24, 127}
under the group generated by the following permutations:
a: (156, 216) (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: (153, 213)
c: (139, 199)
d: (170, 230)
e: (130, 190)
f: (149, 209)
g: (127, 187)
h: (123, 183)
m: (133, 193)
n1: (144, 204)
a1: (175, 235)
b1: (168, 228)
c1: (154, 214)
d1: (161, 221)
e1: (177, 237)
f1: (146, 206)
g1: (128, 188)
h1: (124, 184)
m1: (136, 196)
n2: (167, 227)
a2: (155, 215)
b2: (151, 211)
c2: (122, 182)
d2: (125, 185)
e2: (179, 239)
f2: (148, 208)
g2: (178, 238)
h2: (132, 192)
m2: (162, 222)
n3: (163, 223)
a3: (173, 233)
b3: (142, 202)
c3: (159, 219)
d3: (126, 186)
e3: (176, 236)
f3: (141, 201)
g3: (157, 217)
h3: (2, 9)(3, 24)(4, 23)(6, 17)(7, 22)(8, 21)(10, 14)(11, 29)(12, 30)(13,
18)(15, 28)(16, 27)(19, 25)(20, 26)(31, 111)(32, 115)(33, 113)(34, 119)(35,
112)(36, 118)(37, 120)(38, 116)(39, 114)(40, 117)(41, 109)(42, 108)(43, 107)(44,
105)(45, 104)(46, 106)(47, 103)(48, 102)(49, 101)(50, 110)(51, 91)(52, 95)(53,
93)(54, 99)(55, 92)(56, 98)(57, 100)(58, 96)(59, 94)(60, 97)(61, 89)(62, 88)(63,
87)(64, 85)(65, 84)(66, 86)(67, 83)(68, 82)(69, 81)(70, 90)(72, 75)(74, 79)(76,
78)(77, 80)(121, 127)(122, 126)(123, 130)(124, 129)(125, 128)(131, 177)(132,
176)(133, 180)(134, 179)(135, 178)(136, 172)(137, 171)(138, 175)(139, 174)(140,
173)(141, 167)(142, 166)(143, 170)(144, 169)(145, 168)(146, 162)(147, 161)(148,
165)(149, 164)(150, 163)(151, 157)(152, 156)(153, 160)(154, 159)(155, 158)(181,
187)(182, 186)(183, 190)(184, 189)(185, 188)(191, 237)(192, 236)(193, 240)(194,
239)(195, 238)(196, 232)(197, 231)(198, 235)(199, 234)(200, 233)(201, 227)(202,
226)(203, 230)(204, 229)(205, 228)(206, 222)(207, 221)(208, 225)(209, 224)(210,
223)(211, 217)(212, 216)(213, 220)(214, 219)(215, 218)
m3: (131, 191)
n4: (150, 210)
a4: (138, 198)
b4: (169, 229)
c4: (140, 200)
d4: (143, 203)
e4: (174, 234)
f4: (171, 231)
g4: (135, 195)
h4: (166, 226)
m4: (134, 194)
n5: (165, 225)
a5: (164, 224)
b5: (129, 189)
c5: (160, 220)
d5: (121, 181)
e5: (152, 212)
f5: (1, 2)(3, 4)(5, 17)(6, 18)(7, 20)(8, 19)(9, 14)(10, 13)(11, 15)(12, 16)(21,
22)(23, 30)(24, 29)(25, 27)(26, 28)(31, 32)(33, 39)(34, 40)(35, 38)(36, 37)(41,
42)(43, 50)(44, 49)(45, 47)(46, 48)(51, 52)(53, 59)(54, 60)(55, 58)(56, 57)(61,
62)(63, 70)(64, 69)(65, 67)(66, 68)(71, 72)(73, 79)(74, 80)(75, 78)(76, 77)(81,
82)(83, 90)(84, 89)(85, 87)(86, 88)(91, 92)(93, 99)(94, 100)(95, 98)(96,
97)(101, 102)(103, 110)(104, 109)(105, 107)(106, 108)(111, 112)(113, 119)(114,
120)(115, 118)(116, 117)(122, 125)(123, 124)(127, 130)(128, 129)(132, 135)(133,
134)(137, 140)(138, 139)(142, 145)(143, 144)(147, 150)(148, 149)(152, 155)(153,
154)(157, 160)(158, 159)(162, 165)(163, 164)(167, 170)(168, 169)(172, 175)(173,
174)(177, 180)(178, 179)(182, 185)(183, 184)(187, 190)(188, 189)(192, 195)(193,
194)(197, 200)(198, 199)(202, 205)(203, 204)(207, 210)(208, 209)(212, 215)(213,
214)(217, 220)(218, 219)(222, 225)(223, 224)(227, 230)(228, 229)(232, 235)(233,
234)(237, 240)(238, 239)
g5: (1, 3, 117, 103, 91, 85, 77, 63, 51, 45, 37, 23)(2, 20, 118, 104, 92, 86,
78, 64, 52, 46, 38, 24)(4, 114, 102, 95, 87, 74, 62, 55, 47, 34, 22, 9)(5, 11,
116, 108, 93, 81, 76, 68, 53, 41, 36, 28)(6, 15, 115, 107, 94, 82, 75, 67, 54,
42, 35, 27)(7, 113, 101, 96, 88, 73, 61, 56, 48, 33, 21, 10)(8, 119, 110, 100,
89, 79, 70, 60, 49, 39, 30, 18)(12, 120, 109, 99, 90, 80, 69, 59, 50, 40, 29,
17)(13, 16, 111, 105, 97, 83, 71, 65, 57, 43, 31, 25)(14, 19, 112, 106, 98, 84,
72, 66, 58, 44, 32, 26)(121, 178, 174, 167, 161, 158, 154, 147, 141, 138, 134,
127)(122, 176, 173, 169, 162, 156, 153, 149, 142, 136, 133, 129)(123, 179, 172,
166, 163, 159, 152, 146, 143, 139, 132, 126)(124, 177, 171, 168, 164, 157, 151,
148, 144, 137, 131, 128)(125, 180, 175, 170, 165, 160, 155, 150, 145, 140, 135,
130)(181, 238, 234, 227, 221, 218, 214, 207, 201, 198, 194, 187)(182, 236, 233,
229, 222, 216, 213, 209, 202, 196, 193, 189)(183, 239, 232, 226, 223, 219, 212,
206, 203, 199, 192, 186)(184, 237, 231, 228, 224, 217, 211, 208, 204, 197, 191,
188)(185, 240, 235, 230, 225, 220, 215, 210, 205, 200, 195, 190)
h5: (158, 218)
m5: (180, 240)
n6: (145, 205)
a6: (172, 232)
b6: (137, 197)
C4[ 240, 158 ]
240
-1 121 187 181 127
-2 121 190 181 130
-3 121 178 181 238
-4 121 179 181 239
-5 122 126 182 186
-6 122 188 182 128
-7 122 179 182 239
-8 122 180 182 240
-9 187 123 127 183
-10 123 189 183 129
-11 176 123 236 183
-12 123 180 183 240
-13 188 124 128 184
-14 124 190 184 130
-15 176 124 236 184
-16 177 124 237 184
-17 125 126 185 186
-18 189 125 129 185
-19 177 125 237 185
-20 178 125 238 185
-21 133 126 193 186
-22 134 126 194 186
-23 187 134 127 194
-24 187 135 127 195
-25 188 191 128 131
-26 188 135 128 195
-27 189 191 129 131
-28 132 189 192 129
-29 132 190 192 130
-30 133 190 193 130
-31 191 137 131 197
-32 200 191 140 131
-33 132 136 192 196
-34 132 198 192 138
-35 133 137 193 197
-36 133 199 193 139
-37 198 134 138 194
-38 134 200 194 140
-39 135 136 195 196
-40 199 135 139 195
-41 143 136 203 196
-42 144 136 204 196
-43 144 137 204 197
-44 145 137 205 197
-45 198 201 138 141
-46 198 145 138 205
-47 199 201 139 141
-48 199 202 139 142
-49 200 202 140 142
-50 143 200 203 140
-51 201 147 141 207
-52 210 201 150 141
-53 146 202 206 142
-54 202 148 142 208
-55 143 147 203 207
-56 143 209 203 149
-57 144 148 204 208
-58 144 210 204 150
-59 145 146 205 206
-60 209 145 149 205
-61 146 213 206 153
-62 154 146 214 206
-63 154 147 214 207
-64 155 147 215 207
-65 211 148 151 208
-66 155 148 215 208
-67 209 211 149 151
-68 209 212 149 152
-69 210 212 150 152
-70 210 213 150 153
-71 211 157 151 217
-72 220 211 160 151
-73 156 212 216 152
-74 212 158 152 218
-75 157 213 217 153
-76 213 159 153 219
-77 154 158 214 218
-78 154 220 214 160
-79 155 156 215 216
-80 155 159 215 219
-81 156 223 216 163
-82 156 224 216 164
-83 157 224 217 164
-84 165 157 225 217
-85 221 158 161 218
-86 165 158 225 218
-87 221 159 161 219
-88 222 159 162 219
-89 220 222 160 162
-90 220 223 160 163
-91 221 167 161 227
-92 221 170 161 230
-93 166 222 226 162
-94 222 168 162 228
-95 167 223 227 163
-96 223 169 163 229
-97 168 224 228 164
-98 224 170 164 230
-99 165 166 225 226
-100 165 169 225 229
-101 166 233 226 173
-102 166 234 226 174
-103 167 234 227 174
-104 167 235 227 175
-105 231 168 171 228
-106 168 235 228 175
-107 231 169 171 229
-108 232 169 172 229
-109 232 170 172 230
-110 233 170 173 230
-111 231 177 171 237
-112 231 180 171 240
-113 176 232 236 172
-114 232 178 172 238
-115 177 233 237 173
-116 233 179 173 239
-117 178 234 238 174
-118 234 180 174 240
-119 176 235 236 175
-120 179 235 239 175
-121 1 2 3 4
-122 5 6 7 8
-123 11 12 9 10
-124 13 14 15 16
-125 17 18 19 20
-126 22 5 17 21
-127 1 23 24 9
-128 13 25 26 6
-129 27 28 18 10
-130 2 14 29 30
-131 25 27 31 32
-132 33 34 28 29
-133 35 36 30 21
-134 22 23 37 38
-135 24 26 39 40
-136 33 39 41 42
-137 44 35 31 43
-138 34 45 46 37
-139 36 47 48 40
-140 38 49 50 32
-141 45 47 51 52
-142 48 49 53 54
-143 55 56 50 41
-144 57 58 42 43
-145 44 46 59 60
-146 59 61 62 53
-147 55 51 63 64
-148 66 57 54 65
-149 56 67 68 60
-150 58 69 70 52
-151 67 71 72 65
-152 68 69 73 74
-153 70 61 75 76
-154 77 78 62 63
-155 66 79 80 64
-156 79 81 82 73
-157 71 83 84 75
-158 77 74 85 86
-159 88 80 76 87
-160 78 89 90 72
-161 91 92 85 87
-162 88 89 93 94
-163 90 81 95 96
-164 82 83 97 98
-165 99 100 84 86
-166 99 101 102 93
-167 91 103 104 95
-168 94 105 106 97
-169 100 96 107 108
-170 110 92 98 109
-171 111 112 105 107
-172 113 114 108 109
-173 110 101 115 116
-174 102 103 117 118
-175 104 106 119 120
-176 11 113 15 119
-177 111 16 115 19
-178 3 114 117 20
-179 4 116 7 120
-180 12 112 8 118
-181 1 2 3 4
-182 5 6 7 8
-183 11 12 9 10
-184 13 14 15 16
-185 17 18 19 20
-186 22 5 17 21
-187 1 23 24 9
-188 13 25 26 6
-189 27 28 18 10
-190 2 14 29 30
-191 25 27 31 32
-192 33 34 28 29
-193 35 36 30 21
-194 22 23 37 38
-195 24 26 39 40
-196 33 39 41 42
-197 44 35 31 43
-198 34 45 46 37
-199 36 47 48 40
-200 38 49 50 32
-201 45 47 51 52
-202 48 49 53 54
-203 55 56 50 41
-204 57 58 42 43
-205 44 46 59 60
-206 59 61 62 53
-207 55 51 63 64
-208 66 57 54 65
-209 56 67 68 60
-210 58 69 70 52
-211 67 71 72 65
-212 68 69 73 74
-213 70 61 75 76
-214 77 78 62 63
-215 66 79 80 64
-216 79 81 82 73
-217 71 83 84 75
-218 77 74 85 86
-219 88 80 76 87
-220 78 89 90 72
-221 91 92 85 87
-222 88 89 93 94
-223 90 81 95 96
-224 82 83 97 98
-225 99 100 84 86
-226 99 101 102 93
-227 91 103 104 95
-228 94 105 106 97
-229 100 96 107 108
-230 110 92 98 109
-231 111 112 105 107
-232 113 114 108 109
-233 110 101 115 116
-234 102 103 117 118
-235 104 106 119 120
-236 11 113 15 119
-237 111 16 115 19
-238 3 114 117 20
-239 4 116 7 120
-240 12 112 8 118
0