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