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