Graph forms
for C4 [ 240, 119 ] = SDD(C_60(1,11))
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On this page are computer-accessible forms for the graph C4[ 240, 119 ] =
SDD(C_60(1,11)).
(I) Following is a form readable by MAGMA:
g:=Graph<240|{ {112, 126}, {107, 125}, {99, 122}, {102, 123}, {95, 126}, {95,
123}, {95, 122}, {95, 121}, {87, 125}, {84, 127}, {80, 124}, {87, 121}, {80,
127}, {72, 124}, {12, 127}, {11, 126}, {10, 125}, {1, 121}, {1, 123}, {6, 124},
{1, 122}, {2, 121}, {3, 127}, {4, 122}, {5, 123}, {1, 126}, {2, 125}, {3, 124},
{52, 180}, {82, 210}, {4, 133}, {54, 183}, {13, 140}, {14, 143}, {16, 145}, {18,
147}, {86, 215}, {2, 128}, {3, 129}, {8, 138}, {9, 139}, {20, 150}, {5, 134},
{17, 146}, {29, 158}, {90, 217}, {6, 130}, {41, 173}, {2, 135}, {62, 187}, {60,
185}, {7, 130}, {76, 201}, {77, 200}, {18, 148}, {61, 187}, {40, 174}, {83,
213}, {96, 230}, {19, 148}, {69, 194}, {75, 204}, {98, 229}, {4, 140}, {5, 141},
{6, 142}, {7, 143}, {47, 167}, {104, 224}, {109, 229}, {32, 169}, {45, 164},
{33, 171}, {86, 220}, {3, 136}, {64, 203}, {8, 131}, {27, 144}, {32, 171}, {46,
165}, {81, 218}, {8, 132}, {59, 183}, {58, 182}, {57, 181}, {10, 134}, {15,
131}, {35, 175}, {9, 132}, {73, 196}, {51, 190}, {49, 188}, {13, 128}, {16,
157}, {18, 159}, {33, 172}, {7, 137}, {34, 172}, {74, 196}, {83, 221}, {14,
129}, {53, 186}, {50, 189}, {17, 158}, {28, 147}, {44, 163}, {91, 212}, {92,
211}, {69, 213}, {20, 133}, {114, 227}, {68, 213}, {113, 224}, {21, 135}, {55,
165}, {24, 138}, {44, 191}, {54, 165}, {25, 141}, {26, 142}, {36, 176}, {85,
193}, {9, 156}, {119, 226}, {118, 227}, {66, 215}, {75, 222}, {43, 189}, {36,
179}, {62, 169}, {37, 178}, {38, 177}, {76, 219}, {77, 218}, {67, 219}, {70,
222}, {9, 144}, {68, 221}, {8, 146}, {120, 226}, {48, 170}, {12, 151}, {16,
139}, {35, 184}, {4, 152}, {5, 153}, {6, 154}, {7, 155}, {33, 189}, {34, 190},
{11, 150}, {71, 218}, {90, 199}, {91, 198}, {15, 145}, {73, 215}, {66, 220},
{62, 160}, {22, 136}, {23, 137}, {89, 199}, {10, 149}, {97, 193}, {120, 216},
{113, 209}, {77, 236}, {16, 178}, {70, 228}, {109, 207}, {31, 188}, {48, 147},
{110, 205}, {10, 174}, {48, 148}, {103, 195}, {30, 187}, {74, 239}, {106, 207},
{22, 176}, {119, 209}, {118, 208}, {23, 177}, {75, 237}, {76, 234}, {29, 186},
{54, 145}, {71, 239}, {98, 202}, {17, 184}, {71, 238}, {11, 161}, {68, 238},
{66, 232}, {14, 164}, {15, 165}, {19, 185}, {21, 191}, {67, 232}, {115, 216},
{74, 225}, {96, 203}, {104, 195}, {71, 235}, {75, 231}, {50, 159}, {68, 233},
{74, 231}, {12, 162}, {13, 163}, {104, 198}, {48, 159}, {66, 237}, {24, 168},
{111, 223}, {103, 214}, {114, 192}, {19, 160}, {67, 240}, {32, 147}, {36, 151},
{40, 155}, {19, 167}, {116, 192}, {43, 159}, {85, 225}, {28, 169}, {120, 205},
{54, 131}, {29, 168}, {31, 170}, {41, 156}, {97, 212}, {35, 149}, {115, 197},
{70, 240}, {82, 228}, {17, 166}, {114, 197}, {28, 171}, {30, 169}, {42, 157},
{100, 211}, {101, 210}, {11, 179}, {12, 180}, {13, 181}, {14, 182}, {15, 183},
{18, 170}, {25, 161}, {26, 162}, {82, 234}, {20, 173}, {85, 236}, {21, 175},
{116, 206}, {81, 235}, {83, 233}, {101, 223}, {86, 237}, {117, 206}, {109, 214},
{101, 217}, {27, 166}, {37, 152}, {39, 154}, {83, 238}, {96, 221}, {30, 160},
{81, 239}, {86, 232}, {98, 220}, {38, 153}, {81, 238}, {89, 230}, {111, 208},
{42, 234}, {113, 177}, {110, 175}, {43, 233}, {65, 131}, {92, 158}, {94, 156},
{23, 212}, {27, 216}, {84, 151}, {112, 179}, {116, 176}, {46, 235}, {65, 132},
{78, 139}, {107, 174}, {21, 211}, {72, 142}, {38, 224}, {39, 225}, {93, 155},
{103, 161}, {73, 142}, {108, 164}, {40, 226}, {72, 130}, {41, 227}, {44, 230},
{31, 212}, {65, 138}, {59, 240}, {39, 236}, {100, 175}, {24, 213}, {61, 240},
{26, 215}, {29, 211}, {120, 182}, {42, 228}, {45, 227}, {94, 144}, {25, 214},
{69, 138}, {47, 224}, {82, 157}, {85, 154}, {104, 167}, {105, 166}, {63, 239},
{87, 135}, {97, 177}, {101, 181}, {52, 229}, {80, 129}, {105, 184}, {112, 161},
{72, 154}, {93, 143}, {53, 230}, {65, 146}, {78, 157}, {30, 202}, {88, 140},
{93, 137}, {109, 185}, {28, 201}, {115, 166}, {61, 232}, {56, 237}, {94, 139},
{22, 192}, {23, 193}, {98, 180}, {110, 184}, {114, 164}, {87, 128}, {22, 206},
{117, 173}, {63, 231}, {58, 226}, {80, 136}, {88, 128}, {31, 198}, {119, 174},
{60, 229}, {51, 234}, {106, 179}, {20, 206}, {24, 194}, {25, 195}, {94, 132},
{96, 186}, {106, 176}, {108, 182}, {50, 233}, {118, 173}, {79, 148}, {100, 191},
{55, 235}, {49, 236}, {111, 178}, {26, 196}, {63, 225}, {27, 197}, {56, 231},
{59, 228}, {78, 145}, {93, 130}, {57, 217}, {84, 180}, {102, 134}, {46, 204},
{58, 216}, {43, 200}, {117, 150}, {115, 144}, {100, 135}, {108, 143}, {90, 190},
{34, 199}, {59, 222}, {39, 193}, {61, 219}, {57, 223}, {56, 222}, {89, 191},
{92, 186}, {99, 133}, {112, 150}, {91, 188}, {45, 197}, {53, 221}, {52, 220},
{51, 219}, {79, 167}, {97, 137}, {113, 153}, {32, 201}, {47, 198}, {33, 203},
{118, 156}, {60, 214}, {103, 141}, {36, 207}, {73, 162}, {64, 171}, {57, 210},
{49, 218}, {44, 199}, {102, 141}, {46, 194}, {119, 155}, {64, 172}, {47, 195},
{45, 192}, {69, 168}, {88, 181}, {107, 134}, {108, 129}, {35, 205}, {79, 160},
{99, 140}, {117, 133}, {70, 183}, {77, 188}, {91, 170}, {76, 190}, {60, 207},
{56, 204}, {62, 202}, {92, 168}, {37, 208}, {55, 194}, {79, 185}, {84, 162},
{90, 172}, {38, 209}, {58, 205}, {105, 158}, {111, 152}, {42, 210}, {67, 187},
{40, 209}, {49, 200}, {41, 208}, {37, 223}, {51, 201}, {50, 200}, {89, 163},
{34, 217}, {63, 196}, {55, 204}, {88, 163}, {99, 152}, {105, 146}, {110, 149},
{78, 178}, {116, 136}, {64, 189}, {106, 151}, {52, 202}, {53, 203}, {107, 149},
{102, 153} }>;
(II) A more general form is to represent the graph as the orbit of {112, 126}
under the group generated by the following permutations:
a: (34, 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: (2, 87)
c: (2, 4)(3, 7)(5, 11)(9, 17)(10, 20)(12, 23)(15, 24)(16, 29)(18, 30)(21,
37)(22, 40)(26, 39)(31, 52)(33, 51)(35, 41)(36, 38)(42, 53)(43, 61)(44, 57)(45,
58)(47, 60)(48, 62)(49, 66)(50, 67)(54, 69)(56, 71)(59, 68)(64, 76)(70, 83)(73,
85)(75, 81)(77, 86)(78, 92)(80, 93)(82, 96)(84, 97)(87, 99)(89, 101)(91, 98)(94,
105)(100, 111)(102, 112)(104, 109)(106, 113)(107, 117)(110, 118)(114, 120)(116,
119)(121, 122)(123, 126)(124, 130)(125, 133)(127, 137)(128, 140)(129, 143)(131,
138)(132, 146)(134, 150)(135, 152)(136, 155)(139, 158)(141, 161)(142, 154)(144,
166)(145, 168)(147, 169)(148, 160)(149, 173)(151, 177)(153, 179)(156, 184)(157,
186)(159, 187)(162, 193)(163, 181)(164, 182)(165, 194)(167, 185)(170, 202)(171,
201)(172, 190)(174, 206)(175, 208)(176, 209)(178, 211)(180, 212)(183, 213)(188,
220)(189, 219)(191, 223)(192, 226)(195, 214)(196, 225)(197, 216)(198, 229)(199,
217)(200, 232)(203, 234)(204, 235)(205, 227)(207, 224)(210, 230)(215, 236)(218,
237)(221, 228)(222, 238)(231, 239)(233, 240)
d: (7, 93)
e: (23, 97)
f: (29, 92)
g: (49, 77)
h: (40, 119)
m: (17, 105)
n1: (68, 83)
a1: (21, 100)
b1: (66, 86)
c1: (1, 2, 13, 44, 34, 33, 28, 18, 19, 47, 25, 5)(3, 14, 45, 27, 9, 8, 15, 46,
56, 63, 26, 6)(4, 21, 57, 53, 51, 43, 30, 31, 60, 38, 11, 10)(7, 22, 58, 41, 17,
16, 24, 59, 71, 66, 39, 12)(20, 35, 37, 29, 42, 68, 61, 49, 52, 23, 36, 40)(32,
48, 79, 104, 103, 102, 95, 87, 88, 89, 90, 64)(50, 62, 91, 109, 113, 112, 107,
99, 100, 101, 96, 76)(54, 55, 75, 74, 73, 72, 80, 108, 114, 115, 94, 65)(67, 77,
98, 97, 106, 119, 117, 110, 111, 92, 82, 83)(69, 70, 81, 86, 85, 84, 93, 116,
120, 118, 105, 78)(121, 128, 163, 199, 172, 171, 147, 148, 167, 195, 141,
123)(122, 135, 181, 230, 190, 189, 169, 170, 185, 224, 161, 134)(124, 129, 164,
197, 144, 132, 131, 165, 204, 231, 196, 142)(125, 140, 191, 217, 203, 201, 159,
160, 198, 214, 153, 126)(127, 143, 192, 216, 156, 146, 145, 194, 222, 239, 215,
154)(130, 136, 182, 227, 166, 139, 138, 183, 235, 237, 225, 162)(133, 175, 223,
186, 234, 233, 187, 188, 229, 177, 179, 174)(137, 176, 226, 173, 184, 178, 168,
228, 238, 232, 236, 180)(149, 152, 211, 210, 221, 219, 200, 202, 212, 207, 209,
150)(151, 155, 206, 205, 208, 158, 157, 213, 240, 218, 220, 193)
d1: (13, 88)
e1: (22, 116)
f1: (12, 84)
g1: (46, 55)
h1: (56, 75)
m1: (39, 85)
n2: (8, 65)
a2: (45, 114)
b2: (38, 113)
c2: (63, 74)
d2: (27, 115)
e2: (4, 99)
f2: (52, 98)
g2: (19, 79)
h2: (25, 103)
m2: (2, 5)(3, 9)(4, 11)(6, 8)(7, 17)(12, 16)(13, 25)(14, 27)(15, 26)(18, 33)(19,
34)(21, 38)(22, 41)(23, 29)(24, 39)(30, 51)(31, 53)(35, 40)(36, 37)(42, 52)(44,
47)(46, 63)(48, 64)(49, 68)(54, 73)(55, 74)(57, 60)(59, 66)(62, 76)(65, 72)(69,
85)(70, 86)(77, 83)(78, 84)(79, 90)(80, 94)(82, 98)(87, 102)(88, 103)(89,
104)(91, 96)(92, 97)(93, 105)(99, 112)(100, 113)(101, 109)(106, 111)(108,
115)(110, 119)(116, 118)(121, 123)(122, 126)(124, 132)(125, 134)(127, 139)(128,
141)(129, 144)(130, 146)(131, 142)(133, 150)(135, 153)(136, 156)(137, 158)(138,
154)(140, 161)(143, 166)(145, 162)(147, 171)(148, 172)(149, 174)(151, 178)(152,
179)(155, 184)(157, 180)(159, 189)(160, 190)(163, 195)(164, 197)(165, 196)(167,
199)(168, 193)(169, 201)(170, 203)(173, 206)(175, 209)(176, 208)(177, 211)(181,
214)(182, 216)(183, 215)(185, 217)(186, 212)(187, 219)(188, 221)(191, 224)(192,
227)(194, 225)(198, 230)(200, 233)(202, 234)(204, 231)(205, 226)(207, 223)(210,
229)(213, 236)(218, 238)(220, 228)(222, 237)(232, 240)(235, 239)
n3: (58, 120)
a3: (36, 106)
b3: (15, 54)
c3: (57, 101)
d3: (31, 91)
e3: (42, 82)
f3: (9, 94)
g3: (28, 32)
h3: (30, 62)
m3: (59, 70)
n4: (5, 102)
a4: (16, 78)
b4: (10, 107)
c4: (6, 72)
d4: (71, 81)
e4: (60, 109)
f4: (33, 64)
g4: (26, 73)
h4: (44, 89)
m4: (61, 67)
n5: (14, 108)
a5: (24, 69)
b5: (37, 111)
c5: (3, 80)
d5: (53, 96)
e5: (20, 117)
f5: (51, 76)
g5: (35, 110)
h5: (47, 104)
m5: (11, 112)
n6: (43, 50)
a6: (41, 118)
C4[ 240, 119 ]
240
-1 121 122 123 126
-2 121 135 125 128
-3 124 136 127 129
-4 122 133 140 152
-5 123 134 141 153
-6 154 124 130 142
-7 143 155 137 130
-8 132 146 138 131
-9 132 144 156 139
-10 134 125 149 174
-11 179 126 150 161
-12 180 127 151 162
-13 181 128 140 163
-14 143 182 129 164
-15 165 145 183 131
-16 145 178 157 139
-17 166 146 158 184
-18 147 148 159 170
-19 167 148 160 185
-20 133 150 173 206
-21 211 135 191 175
-22 176 136 192 206
-23 177 212 137 193
-24 168 213 138 194
-25 214 161 195 141
-26 215 162 196 142
-27 144 166 216 197
-28 201 147 169 171
-29 211 168 158 186
-30 187 169 202 160
-31 198 188 212 170
-32 201 147 169 171
-33 189 203 171 172
-34 199 190 172 217
-35 149 205 184 175
-36 176 179 151 207
-37 178 223 152 208
-38 209 177 224 153
-39 154 225 236 193
-40 209 155 226 174
-41 156 227 173 208
-42 210 157 234 228
-43 189 200 233 159
-44 199 191 163 230
-45 192 227 164 197
-46 165 235 204 194
-47 198 167 224 195
-48 147 148 159 170
-49 188 200 236 218
-50 189 200 233 159
-51 190 201 234 219
-52 220 180 202 229
-53 221 203 186 230
-54 165 145 183 131
-55 165 235 204 194
-56 231 222 204 237
-57 210 223 181 217
-58 182 226 205 216
-59 222 183 228 240
-60 214 185 207 229
-61 187 232 240 219
-62 187 169 202 160
-63 231 225 239 196
-64 189 203 171 172
-65 132 146 138 131
-66 220 232 215 237
-67 187 232 240 219
-68 221 233 213 238
-69 168 213 138 194
-70 222 183 228 240
-71 235 238 239 218
-72 154 124 130 142
-73 215 162 196 142
-74 231 225 239 196
-75 231 222 204 237
-76 190 201 234 219
-77 188 200 236 218
-78 145 178 157 139
-79 167 148 160 185
-80 124 136 127 129
-81 235 238 239 218
-82 210 157 234 228
-83 221 233 213 238
-84 180 127 151 162
-85 154 225 236 193
-86 220 232 215 237
-87 121 135 125 128
-88 181 128 140 163
-89 199 191 163 230
-90 199 190 172 217
-91 198 188 212 170
-92 211 168 158 186
-93 143 155 137 130
-94 132 144 156 139
-95 121 122 123 126
-96 221 203 186 230
-97 177 212 137 193
-98 220 180 202 229
-99 122 133 140 152
-100 211 135 191 175
-101 210 223 181 217
-102 123 134 141 153
-103 214 161 195 141
-104 198 167 224 195
-105 166 146 158 184
-106 176 179 151 207
-107 134 125 149 174
-108 143 182 129 164
-109 214 185 207 229
-110 149 205 184 175
-111 178 223 152 208
-112 179 126 150 161
-113 209 177 224 153
-114 192 227 164 197
-115 144 166 216 197
-116 176 136 192 206
-117 133 150 173 206
-118 156 227 173 208
-119 209 155 226 174
-120 182 226 205 216
-121 1 2 95 87
-122 99 1 4 95
-123 1 102 5 95
-124 3 80 6 72
-125 2 107 10 87
-126 11 1 112 95
-127 12 3 80 84
-128 88 2 13 87
-129 3 14 80 108
-130 93 6 72 7
-131 15 8 54 65
-132 94 8 9 65
-133 99 4 117 20
-134 102 5 107 10
-135 100 2 21 87
-136 22 3 80 116
-137 23 93 7 97
-138 24 69 8 65
-139 78 16 94 9
-140 88 99 13 4
-141 25 102 103 5
-142 26 6 72 73
-143 14 93 7 108
-144 27 115 94 9
-145 78 15 16 54
-146 17 105 8 65
-147 48 28 18 32
-148 79 48 18 19
-149 110 35 107 10
-150 11 112 117 20
-151 12 36 84 106
-152 99 111 4 37
-153 102 113 5 38
-154 6 39 72 85
-155 93 7 40 119
-156 94 41 118 9
-157 78 16 82 42
-158 92 17 105 29
-159 48 50 18 43
-160 79 62 19 30
-161 11 112 25 103
-162 12 26 73 84
-163 44 88 89 13
-164 45 14 114 108
-165 55 46 15 54
-166 27 115 17 105
-167 79 47 104 19
-168 24 69 92 29
-169 28 62 30 32
-170 91 48 18 31
-171 33 28 64 32
-172 33 34 90 64
-173 117 41 118 20
-174 40 107 119 10
-175 110 100 35 21
-176 22 36 116 106
-177 23 113 38 97
-178 78 111 37 16
-179 11 112 36 106
-180 12 84 52 98
-181 88 13 57 101
-182 14 58 108 120
-183 15 59 70 54
-184 110 35 17 105
-185 79 60 19 109
-186 92 29 96 53
-187 67 61 62 30
-188 77 91 49 31
-189 33 50 64 43
-190 34 90 51 76
-191 44 89 100 21
-192 22 45 114 116
-193 23 39 85 97
-194 55 24 46 69
-195 25 47 103 104
-196 26 73 63 74
-197 45 114 27 115
-198 47 91 104 31
-199 44 34 89 90
-200 77 49 50 43
-201 28 51 32 76
-202 62 30 52 98
-203 33 96 53 64
-204 55 56 46 75
-205 110 35 58 120
-206 22 116 117 20
-207 36 60 106 109
-208 111 37 41 118
-209 113 38 40 119
-210 57 101 82 42
-211 100 92 29 21
-212 23 91 31 97
-213 24 68 69 83
-214 25 103 60 109
-215 66 26 73 86
-216 58 27 115 120
-217 34 57 90 101
-218 77 81 49 71
-219 67 61 51 76
-220 66 52 86 98
-221 68 83 96 53
-222 56 59 70 75
-223 111 57 101 37
-224 47 113 38 104
-225 39 63 74 85
-226 58 40 119 120
-227 45 114 41 118
-228 59 70 82 42
-229 60 52 98 109
-230 44 89 96 53
-231 56 63 74 75
-232 66 67 61 86
-233 68 50 83 43
-234 82 51 42 76
-235 55 46 81 71
-236 77 49 39 85
-237 66 56 75 86
-238 68 81 71 83
-239 81 71 63 74
-240 67 59 70 61
0