Graph forms
for C4 [ 236, 1 ] = W(118,2)
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On this page are computer-accessible forms for the graph C4[ 236, 1 ] =
W(118,2).
(I) Following is a form readable by MAGMA:
g:=Graph<236|{ {2, 3}, {234, 235}, {232, 233}, {230, 231}, {228, 229}, {226,
227}, {224, 225}, {222, 223}, {220, 221}, {218, 219}, {216, 217}, {214, 215},
{212, 213}, {210, 211}, {208, 209}, {206, 207}, {204, 205}, {202, 203}, {200,
201}, {198, 199}, {196, 197}, {194, 195}, {192, 193}, {190, 191}, {188, 189},
{186, 187}, {184, 185}, {182, 183}, {180, 181}, {178, 179}, {176, 177}, {174,
175}, {172, 173}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {162, 163},
{160, 161}, {158, 159}, {156, 157}, {154, 155}, {152, 153}, {150, 151}, {148,
149}, {146, 147}, {144, 145}, {142, 143}, {140, 141}, {138, 139}, {136, 137},
{134, 135}, {132, 133}, {130, 131}, {128, 129}, {126, 127}, {124, 125}, {122,
123}, {120, 121}, {118, 119}, {116, 117}, {70, 71}, {68, 69}, {66, 67}, {64,
65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48,
49}, {46, 47}, {44, 45}, {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}, {34, 35}, {36, 37}, {38, 39}, {40, 41}, {42, 43}, {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}, {98, 99}, {100, 101}, {102, 103}, {104, 105},
{106, 107}, {108, 109}, {110, 111}, {112, 113}, {114, 115}, {1, 2}, {233, 234},
{229, 230}, {225, 226}, {221, 222}, {217, 218}, {213, 214}, {209, 210}, {205,
206}, {201, 202}, {197, 198}, {193, 194}, {189, 190}, {185, 186}, {181, 182},
{177, 178}, {173, 174}, {169, 170}, {165, 166}, {161, 162}, {157, 158}, {153,
154}, {149, 150}, {145, 146}, {141, 142}, {137, 138}, {133, 134}, {129, 130},
{125, 126}, {121, 122}, {117, 118}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53,
54}, {49, 50}, {45, 46}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25,
26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {73, 74}, {77, 78}, {81, 82}, {85,
86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {113,
114}, {3, 4}, {235, 236}, {227, 228}, {219, 220}, {211, 212}, {203, 204}, {195,
196}, {187, 188}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {147, 148},
{139, 140}, {131, 132}, {123, 124}, {115, 116}, {67, 68}, {59, 60}, {51, 52},
{43, 44}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {75, 76}, {83, 84}, {91, 92},
{99, 100}, {107, 108}, {7, 8}, {231, 232}, {215, 216}, {199, 200}, {183, 184},
{167, 168}, {151, 152}, {135, 136}, {119, 120}, {55, 56}, {23, 24}, {39, 40},
{71, 72}, {87, 88}, {103, 104}, {15, 16}, {207, 208}, {175, 176}, {143, 144},
{47, 48}, {79, 80}, {111, 112}, {31, 32}, {223, 224}, {159, 160}, {95, 96}, {2,
119}, {8, 125}, {10, 127}, {1, 118}, {8, 127}, {9, 126}, {1, 120}, {3, 122}, {5,
124}, {7, 126}, {2, 121}, {3, 120}, {6, 125}, {7, 124}, {4, 121}, {6, 123}, {4,
123}, {191, 192}, {63, 64}, {5, 122}, {9, 128}, {63, 182}, {61, 180}, {59, 178},
{57, 176}, {47, 166}, {45, 164}, {43, 162}, {11, 130}, {13, 132}, {15, 134},
{25, 144}, {27, 146}, {29, 148}, {31, 150}, {41, 160}, {73, 192}, {75, 194},
{77, 196}, {79, 198}, {89, 208}, {91, 210}, {93, 212}, {95, 214}, {105, 224},
{107, 226}, {109, 228}, {111, 230}, {10, 129}, {63, 180}, {62, 181}, {59, 176},
{58, 177}, {47, 164}, {46, 165}, {43, 160}, {11, 128}, {14, 133}, {15, 132},
{26, 145}, {27, 144}, {30, 149}, {31, 148}, {42, 161}, {74, 193}, {75, 192},
{78, 197}, {79, 196}, {90, 209}, {91, 208}, {94, 213}, {95, 212}, {106, 225},
{107, 224}, {110, 229}, {111, 228}, {12, 129}, {62, 179}, {60, 177}, {46, 163},
{44, 161}, {14, 131}, {28, 145}, {30, 147}, {76, 193}, {78, 195}, {92, 209},
{94, 211}, {108, 225}, {110, 227}, {12, 131}, {61, 178}, {60, 179}, {45, 162},
{44, 163}, {13, 130}, {28, 147}, {29, 146}, {76, 195}, {77, 194}, {92, 211},
{93, 210}, {108, 227}, {109, 226}, {16, 133}, {58, 175}, {56, 173}, {50, 167},
{48, 165}, {18, 135}, {24, 141}, {26, 143}, {80, 197}, {82, 199}, {88, 205},
{90, 207}, {112, 229}, {114, 231}, {16, 135}, {57, 174}, {56, 175}, {49, 166},
{48, 167}, {17, 134}, {24, 143}, {25, 142}, {80, 199}, {81, 198}, {88, 207},
{89, 206}, {112, 231}, {113, 230}, {17, 136}, {117, 236}, {115, 234}, {55, 174},
{53, 172}, {51, 170}, {49, 168}, {19, 138}, {21, 140}, {23, 142}, {81, 200},
{83, 202}, {85, 204}, {87, 206}, {113, 232}, {18, 137}, {119, 236}, {115, 232},
{55, 172}, {54, 173}, {51, 168}, {50, 169}, {19, 136}, {22, 141}, {23, 140},
{82, 201}, {83, 200}, {86, 205}, {87, 204}, {114, 233}, {20, 137}, {118, 235},
{116, 233}, {54, 171}, {52, 169}, {22, 139}, {84, 201}, {86, 203}, {20, 139},
{117, 234}, {116, 235}, {53, 170}, {52, 171}, {21, 138}, {84, 203}, {85, 202},
{32, 149}, {34, 151}, {40, 157}, {42, 159}, {96, 213}, {98, 215}, {104, 221},
{106, 223}, {32, 151}, {33, 150}, {40, 159}, {41, 158}, {96, 215}, {97, 214},
{104, 223}, {105, 222}, {33, 152}, {35, 154}, {37, 156}, {39, 158}, {97, 216},
{99, 218}, {101, 220}, {103, 222}, {34, 153}, {35, 152}, {38, 157}, {39, 156},
{98, 217}, {99, 216}, {102, 221}, {103, 220}, {36, 153}, {38, 155}, {100, 217},
{102, 219}, {36, 155}, {37, 154}, {100, 219}, {101, 218}, {1, 236}, {64, 181},
{66, 183}, {72, 189}, {74, 191}, {64, 183}, {65, 182}, {72, 191}, {73, 190},
{65, 184}, {69, 188}, {67, 186}, {71, 190}, {66, 185}, {67, 184}, {70, 189},
{71, 188}, {68, 185}, {70, 187}, {68, 187}, {127, 128}, {69, 186} }>;
(II) A more general form is to represent the graph as the orbit of {2, 3}
under the group generated by the following permutations:
a: (40, 158) (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: (29, 147)
c: (98, 216)
d: (105, 223)
e: (74, 192)
f: (101, 219)
g: (41, 159)
h: (79, 197)
m: (48, 166)
n1: (37, 155)
a1: (7, 125)
b1: (4, 122)
c1: (11, 129)
d1: (108, 226)
e1: (9, 127)
f1: (10, 128)
g1: (109, 227)
h1: (78, 196)
m1: (83, 201)
n2: (52, 170)
a2: (95, 213)
b2: (64, 182)
c2: (100, 218)
d2: (35, 153)
e2: (24, 142)
f2: (55, 173)
g2: (21, 139)
h2: (118, 236)
m2: (69, 187)
n3: (102, 220)
a3: (90, 208)
b3: (106, 224)
c3: (27, 145)
d3: (80, 198)
e3: (111, 229)
f3: (19, 137)
g3: (116, 234)
h3: (2, 120)
m3: (99, 217)
n4: (39, 157)
a4: (112, 230)
b4: (15, 133)
c4: (117, 235)
d4: (86, 204)
e4: (87, 205)
f4: (56, 174)
g4: (70, 188)
h4: (23, 141)
m4: (92, 210)
n5: (89, 207)
a5: (5, 123)
b5: (20, 138)
c5: (51, 169)
d5: (77, 195)
e5: (46, 164)
f5: (113, 231)
g5: (82, 200)
h5: (14, 132)
m5: (45, 163)
n6: (97, 215)
a6: (3, 121)
b6: (2, 118)(3, 117)(4, 116)(5, 115)(6, 114)(7, 113)(8, 112)(9, 111)(10,
110)(11, 109)(12, 108)(13, 107)(14, 106)(15, 105)(16, 104)(17, 103)(18, 102)(19,
101)(20, 100)(21, 99)(22, 98)(23, 97)(24, 96)(25, 95)(26, 94)(27, 93)(28,
92)(29, 91)(30, 90)(31, 89)(32, 88)(33, 87)(34, 86)(35, 85)(36, 84)(37, 83)(38,
82)(39, 81)(40, 80)(41, 79)(42, 78)(43, 77)(44, 76)(45, 75)(46, 74)(47, 73)(48,
72)(49, 71)(50, 70)(51, 69)(52, 68)(53, 67)(54, 66)(55, 65)(56, 64)(57, 63)(58,
62)(59, 61)(120, 236)(121, 235)(122, 234)(123, 233)(124, 232)(125, 231)(126,
230)(127, 229)(128, 228)(129, 227)(130, 226)(131, 225)(132, 224)(133, 223)(134,
222)(135, 221)(136, 220)(137, 219)(138, 218)(139, 217)(140, 216)(141, 215)(142,
214)(143, 213)(144, 212)(145, 211)(146, 210)(147, 209)(148, 208)(149, 207)(150,
206)(151, 205)(152, 204)(153, 203)(154, 202)(155, 201)(156, 200)(157, 199)(158,
198)(159, 197)(160, 196)(161, 195)(162, 194)(163, 193)(164, 192)(165, 191)(166,
190)(167, 189)(168, 188)(169, 187)(170, 186)(171, 185)(172, 184)(173, 183)(174,
182)(175, 181)(176, 180)(177, 179)
c6: (44, 162)
d6: (75, 193)
e6: (103, 221)
f6: (107, 225)
g6: (76, 194)
h6: (66, 184)
m6: (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, 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, 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, 98, 99, 100,
101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116,
117, 118)(119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132,
133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148,
149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 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, 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, 225, 226, 227, 228,
229, 230, 231, 232, 233, 234, 235, 236)
n7: (33, 151)
a7: (6, 124)
b7: (28, 146)
c7: (59, 177)
d7: (31, 149)
e7: (115, 233)
f7: (84, 202)
g7: (12, 130)
h7: (43, 161)
m7: (68, 186)
n8: (42, 160)
a8: (104, 222)
b8: (8, 126)
c8: (34, 152)
d8: (26, 144)
e8: (57, 175)
f8: (93, 211)
g8: (62, 180)
h8: (38, 156)
m8: (96, 214)
n9: (25, 143)
a9: (88, 206)
b9: (85, 203)
c9: (54, 172)
d9: (73, 191)
e9: (36, 154)
f9: (65, 183)
g9: (81, 199)
h9: (50, 168)
m9: (32, 150)
n10: (63, 181)
a10: (67, 185)
b10: (30, 148)
c10: (61, 179)
d10: (18, 136)
e10: (49, 167)
f10: (16, 134)
g10: (47, 165)
h10: (94, 212)
m10: (114, 232)
n11: (17, 135)
a11: (91, 209)
b11: (60, 178)
c11: (71, 189)
d11: (22, 140)
e11: (53, 171)
f11: (72, 190)
g11: (110, 228)
h11: (13, 131)
C4[ 236, 1 ]
236
-1 2 236 118 120
-2 121 1 3 119
-3 122 2 4 120
-4 121 123 3 5
-5 122 124 4 6
-6 123 125 5 7
-7 124 126 6 8
-8 125 127 7 9
-9 126 128 8 10
-10 11 127 129 9
-11 12 128 130 10
-12 11 13 129 131
-13 132 12 14 130
-14 133 13 15 131
-15 132 134 14 16
-16 133 135 15 17
-17 134 136 16 18
-18 135 137 17 19
-19 136 138 18 20
-20 137 139 19 21
-21 22 138 140 20
-22 23 139 141 21
-23 22 24 140 142
-24 143 23 25 141
-25 144 24 26 142
-26 143 145 25 27
-27 144 146 26 28
-28 145 147 27 29
-29 146 148 28 30
-30 147 149 29 31
-31 148 150 30 32
-32 33 149 151 31
-33 34 150 152 32
-34 33 35 151 153
-35 154 34 36 152
-36 155 35 37 153
-37 154 156 36 38
-38 155 157 37 39
-39 156 158 38 40
-40 157 159 39 41
-41 158 160 40 42
-42 159 161 41 43
-43 44 160 162 42
-44 45 161 163 43
-45 44 46 162 164
-46 165 45 47 163
-47 166 46 48 164
-48 165 167 47 49
-49 166 168 48 50
-50 167 169 49 51
-51 168 170 50 52
-52 169 171 51 53
-53 170 172 52 54
-54 55 171 173 53
-55 56 172 174 54
-56 55 57 173 175
-57 176 56 58 174
-58 177 57 59 175
-59 176 178 58 60
-60 177 179 59 61
-61 178 180 60 62
-62 179 181 61 63
-63 180 182 62 64
-64 181 183 63 65
-65 66 182 184 64
-66 67 183 185 65
-67 66 68 184 186
-68 187 67 69 185
-69 188 68 70 186
-70 187 189 69 71
-71 188 190 70 72
-72 189 191 71 73
-73 190 192 72 74
-74 191 193 73 75
-75 192 194 74 76
-76 77 193 195 75
-77 78 194 196 76
-78 77 79 195 197
-79 198 78 80 196
-80 199 79 81 197
-81 198 200 80 82
-82 199 201 81 83
-83 200 202 82 84
-84 201 203 83 85
-85 202 204 84 86
-86 203 205 85 87
-87 88 204 206 86
-88 89 205 207 87
-89 88 90 206 208
-90 209 89 91 207
-91 210 90 92 208
-92 209 211 91 93
-93 210 212 92 94
-94 211 213 93 95
-95 212 214 94 96
-96 213 215 95 97
-97 214 216 96 98
-98 99 215 217 97
-99 100 216 218 98
-100 99 101 217 219
-101 220 100 102 218
-102 221 101 103 219
-103 220 222 102 104
-104 221 223 103 105
-105 222 224 104 106
-106 223 225 105 107
-107 224 226 106 108
-108 225 227 107 109
-109 110 226 228 108
-110 111 227 229 109
-111 110 112 228 230
-112 231 111 113 229
-113 232 112 114 230
-114 231 233 113 115
-115 232 234 114 116
-116 233 235 115 117
-117 234 236 116 118
-118 1 235 117 119
-119 2 236 118 120
-120 121 1 3 119
-121 122 2 4 120
-122 121 123 3 5
-123 122 124 4 6
-124 123 125 5 7
-125 124 126 6 8
-126 125 127 7 9
-127 126 128 8 10
-128 11 127 129 9
-129 12 128 130 10
-130 11 13 129 131
-131 132 12 14 130
-132 133 13 15 131
-133 132 134 14 16
-134 133 135 15 17
-135 134 136 16 18
-136 135 137 17 19
-137 136 138 18 20
-138 137 139 19 21
-139 22 138 140 20
-140 23 139 141 21
-141 22 24 140 142
-142 143 23 25 141
-143 144 24 26 142
-144 143 145 25 27
-145 144 146 26 28
-146 145 147 27 29
-147 146 148 28 30
-148 147 149 29 31
-149 148 150 30 32
-150 33 149 151 31
-151 34 150 152 32
-152 33 35 151 153
-153 154 34 36 152
-154 155 35 37 153
-155 154 156 36 38
-156 155 157 37 39
-157 156 158 38 40
-158 157 159 39 41
-159 158 160 40 42
-160 159 161 41 43
-161 44 160 162 42
-162 45 161 163 43
-163 44 46 162 164
-164 165 45 47 163
-165 166 46 48 164
-166 165 167 47 49
-167 166 168 48 50
-168 167 169 49 51
-169 168 170 50 52
-170 169 171 51 53
-171 170 172 52 54
-172 55 171 173 53
-173 56 172 174 54
-174 55 57 173 175
-175 176 56 58 174
-176 177 57 59 175
-177 176 178 58 60
-178 177 179 59 61
-179 178 180 60 62
-180 179 181 61 63
-181 180 182 62 64
-182 181 183 63 65
-183 66 182 184 64
-184 67 183 185 65
-185 66 68 184 186
-186 187 67 69 185
-187 188 68 70 186
-188 187 189 69 71
-189 188 190 70 72
-190 189 191 71 73
-191 190 192 72 74
-192 191 193 73 75
-193 192 194 74 76
-194 77 193 195 75
-195 78 194 196 76
-196 77 79 195 197
-197 198 78 80 196
-198 199 79 81 197
-199 198 200 80 82
-200 199 201 81 83
-201 200 202 82 84
-202 201 203 83 85
-203 202 204 84 86
-204 203 205 85 87
-205 88 204 206 86
-206 89 205 207 87
-207 88 90 206 208
-208 209 89 91 207
-209 210 90 92 208
-210 209 211 91 93
-211 210 212 92 94
-212 211 213 93 95
-213 212 214 94 96
-214 213 215 95 97
-215 214 216 96 98
-216 99 215 217 97
-217 100 216 218 98
-218 99 101 217 219
-219 220 100 102 218
-220 221 101 103 219
-221 220 222 102 104
-222 221 223 103 105
-223 222 224 104 106
-224 223 225 105 107
-225 224 226 106 108
-226 225 227 107 109
-227 110 226 228 108
-228 111 227 229 109
-229 110 112 228 230
-230 231 111 113 229
-231 232 112 114 230
-232 231 233 113 115
-233 232 234 114 116
-234 233 235 115 117
-235 234 236 116 118
-236 1 235 117 119
0