Graph forms
for C4 [ 260, 1 ] = W(130,2)
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On this page are computer-accessible forms for the graph C4[ 260, 1 ] =
W(130,2).
(I) Following is a form readable by MAGMA:
g:=Graph<260|{ {2, 3}, {258, 259}, {256, 257}, {254, 255}, {252, 253}, {250,
251}, {248, 249}, {246, 247}, {244, 245}, {242, 243}, {240, 241}, {238, 239},
{236, 237}, {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}, {82,
83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {66,
67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50,
51}, {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}, {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}, {1, 2}, {257, 258}, {253, 254},
{249, 250}, {245, 246}, {241, 242}, {237, 238}, {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}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53,
54}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33,
34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {85, 86}, {89, 90}, {93, 94}, {97,
98}, {101, 102}, {105, 106}, {109, 110}, {113, 114}, {117, 118}, {121, 122},
{125, 126}, {129, 130}, {133, 134}, {137, 138}, {141, 142}, {145, 146}, {149,
150}, {153, 154}, {157, 158}, {161, 162}, {165, 166}, {169, 170}, {3, 4}, {259,
260}, {251, 252}, {243, 244}, {235, 236}, {227, 228}, {219, 220}, {211, 212},
{203, 204}, {195, 196}, {187, 188}, {179, 180}, {83, 84}, {75, 76}, {67, 68},
{59, 60}, {51, 52}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {91, 92},
{99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {147,
148}, {155, 156}, {163, 164}, {171, 172}, {7, 8}, {247, 248}, {231, 232}, {215,
216}, {199, 200}, {183, 184}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {87, 88},
{103, 104}, {119, 120}, {135, 136}, {151, 152}, {167, 168}, {15, 16}, {239,
240}, {207, 208}, {175, 176}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {31,
32}, {223, 224}, {95, 96}, {159, 160}, {63, 64}, {191, 192}, {2, 131}, {82,
211}, {80, 209}, {78, 207}, {76, 205}, {74, 203}, {72, 201}, {70, 199}, {68,
197}, {66, 195}, {64, 193}, {62, 191}, {60, 189}, {58, 187}, {56, 185}, {54,
183}, {52, 181}, {50, 179}, {4, 133}, {6, 135}, {8, 137}, {10, 139}, {12, 141},
{14, 143}, {16, 145}, {18, 147}, {20, 149}, {22, 151}, {24, 153}, {26, 155},
{28, 157}, {30, 159}, {32, 161}, {34, 163}, {36, 165}, {38, 167}, {40, 169},
{42, 171}, {44, 173}, {46, 175}, {48, 177}, {84, 213}, {86, 215}, {88, 217},
{90, 219}, {92, 221}, {94, 223}, {96, 225}, {98, 227}, {100, 229}, {102, 231},
{104, 233}, {106, 235}, {108, 237}, {110, 239}, {112, 241}, {114, 243}, {116,
245}, {118, 247}, {120, 249}, {122, 251}, {124, 253}, {126, 255}, {1, 130}, {81,
210}, {80, 211}, {77, 206}, {76, 207}, {73, 202}, {72, 203}, {69, 198}, {68,
199}, {65, 194}, {64, 195}, {61, 190}, {60, 191}, {57, 186}, {56, 187}, {53,
182}, {52, 183}, {4, 135}, {5, 134}, {8, 139}, {9, 138}, {12, 143}, {13, 142},
{16, 147}, {17, 146}, {20, 151}, {21, 150}, {24, 155}, {25, 154}, {28, 159},
{29, 158}, {32, 163}, {33, 162}, {36, 167}, {37, 166}, {40, 171}, {41, 170},
{44, 175}, {45, 174}, {48, 179}, {49, 178}, {84, 215}, {85, 214}, {88, 219},
{89, 218}, {92, 223}, {93, 222}, {96, 227}, {97, 226}, {100, 231}, {101, 230},
{104, 235}, {105, 234}, {108, 239}, {109, 238}, {112, 243}, {113, 242}, {116,
247}, {117, 246}, {120, 251}, {121, 250}, {124, 255}, {125, 254}, {1, 132}, {83,
214}, {81, 212}, {75, 206}, {73, 204}, {67, 198}, {65, 196}, {59, 190}, {57,
188}, {51, 182}, {49, 180}, {3, 134}, {9, 140}, {11, 142}, {17, 148}, {19, 150},
{25, 156}, {27, 158}, {33, 164}, {35, 166}, {41, 172}, {43, 174}, {89, 220},
{91, 222}, {97, 228}, {99, 230}, {105, 236}, {107, 238}, {113, 244}, {115, 246},
{121, 252}, {123, 254}, {2, 133}, {83, 212}, {82, 213}, {75, 204}, {74, 205},
{67, 196}, {66, 197}, {59, 188}, {58, 189}, {51, 180}, {50, 181}, {3, 132}, {10,
141}, {11, 140}, {18, 149}, {19, 148}, {26, 157}, {27, 156}, {34, 165}, {35,
164}, {42, 173}, {43, 172}, {90, 221}, {91, 220}, {98, 229}, {99, 228}, {106,
237}, {107, 236}, {114, 245}, {115, 244}, {122, 253}, {123, 252}, {5, 136}, {71,
202}, {69, 200}, {55, 186}, {53, 184}, {7, 138}, {21, 152}, {23, 154}, {37,
168}, {39, 170}, {85, 216}, {87, 218}, {101, 232}, {103, 234}, {117, 248}, {119,
250}, {6, 137}, {71, 200}, {70, 201}, {55, 184}, {54, 185}, {7, 136}, {22, 153},
{23, 152}, {38, 169}, {39, 168}, {86, 217}, {87, 216}, {102, 233}, {103, 232},
{118, 249}, {119, 248}, {13, 144}, {79, 210}, {77, 208}, {15, 146}, {45, 176},
{47, 178}, {109, 240}, {111, 242}, {14, 145}, {79, 208}, {78, 209}, {15, 144},
{46, 177}, {47, 176}, {110, 241}, {111, 240}, {29, 160}, {31, 162}, {93, 224},
{95, 226}, {30, 161}, {31, 160}, {94, 225}, {95, 224}, {61, 192}, {63, 194},
{62, 193}, {63, 192}, {127, 128}, {1, 260}, {125, 256}, {127, 258}, {126, 257},
{127, 256}, {128, 257}, {130, 259}, {128, 259}, {129, 258}, {129, 260}, {131,
260}, {255, 256} }>;
(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: (10, 140) (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: (41, 171)
c: (105, 235)
d: (74, 204)
e: (121, 251)
f: (96, 226)
g: (32, 162)
h: (90, 220)
m: (26, 156)
n1: (57, 187)
a1: (24, 154)
b1: (88, 218)
c1: (119, 249)
d1: (55, 185)
e1: (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, 237, 238, 239, 240, 241, 242, 243, 244,
245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259,
260)
f1: (101, 231)
g1: (37, 167)
h1: (6, 136)
m1: (70, 200)
n2: (8, 138)
a2: (39, 169)
b2: (103, 233)
c2: (72, 202)
d2: (130, 260)
e2: (3, 133)
f2: (36, 166)
g2: (100, 230)
h2: (67, 197)
m2: (17, 147)
n3: (114, 244)
a3: (50, 180)
b3: (81, 211)
c3: (127, 257)
d3: (5, 135)
e3: (38, 168)
f3: (102, 232)
g3: (69, 199)
h3: (63, 193)
m3: (126, 256)
n4: (93, 223)
a4: (29, 159)
b4: (62, 192)
c4: (16, 146)
d4: (111, 241)
e4: (47, 177)
f4: (80, 210)
g4: (15, 145)
h4: (112, 242)
m4: (48, 178)
n5: (79, 209)
a5: (2, 130)(3, 129)(4, 128)(5, 127)(6, 126)(7, 125)(8, 124)(9, 123)(10,
122)(11, 121)(12, 120)(13, 119)(14, 118)(15, 117)(16, 116)(17, 115)(18, 114)(19,
113)(20, 112)(21, 111)(22, 110)(23, 109)(24, 108)(25, 107)(26, 106)(27, 105)(28,
104)(29, 103)(30, 102)(31, 101)(32, 100)(33, 99)(34, 98)(35, 97)(36, 96)(37,
95)(38, 94)(39, 93)(40, 92)(41, 91)(42, 90)(43, 89)(44, 88)(45, 87)(46, 86)(47,
85)(48, 84)(49, 83)(50, 82)(51, 81)(52, 80)(53, 79)(54, 78)(55, 77)(56, 76)(57,
75)(58, 74)(59, 73)(60, 72)(61, 71)(62, 70)(63, 69)(64, 68)(65, 67)(132,
260)(133, 259)(134, 258)(135, 257)(136, 256)(137, 255)(138, 254)(139, 253)(140,
252)(141, 251)(142, 250)(143, 249)(144, 248)(145, 247)(146, 246)(147, 245)(148,
244)(149, 243)(150, 242)(151, 241)(152, 240)(153, 239)(154, 238)(155, 237)(156,
236)(157, 235)(158, 234)(159, 233)(160, 232)(161, 231)(162, 230)(163, 229)(164,
228)(165, 227)(166, 226)(167, 225)(168, 224)(169, 223)(170, 222)(171, 221)(172,
220)(173, 219)(174, 218)(175, 217)(176, 216)(177, 215)(178, 214)(179, 213)(180,
212)(181, 211)(182, 210)(183, 209)(184, 208)(185, 207)(186, 206)(187, 205)(188,
204)(189, 203)(190, 202)(191, 201)(192, 200)(193, 199)(194, 198)(195, 197)
b5: (117, 247)
c5: (86, 216)
d5: (22, 152)
e5: (53, 183)
f5: (120, 250)
g5: (87, 217)
h5: (23, 153)
m5: (56, 186)
n6: (11, 141)
a6: (44, 174)
b6: (108, 238)
c6: (75, 205)
d6: (33, 163)
e6: (97, 227)
f6: (66, 196)
g6: (2, 132)
h6: (14, 144)
m6: (45, 175)
n7: (109, 239)
a7: (78, 208)
b7: (13, 143)
c7: (46, 176)
d7: (110, 240)
e7: (77, 207)
f7: (98, 228)
g7: (34, 164)
h7: (65, 195)
m7: (4, 134)
n8: (35, 165)
a8: (99, 229)
b8: (68, 198)
c8: (124, 254)
d8: (91, 221)
e8: (27, 157)
f8: (60, 190)
g8: (18, 148)
h8: (113, 243)
m8: (49, 179)
n9: (82, 212)
a9: (115, 245)
b9: (20, 150)
c9: (84, 214)
d9: (51, 181)
e9: (12, 142)
f9: (43, 173)
g9: (107, 237)
h9: (76, 206)
m9: (118, 248)
n10: (21, 151)
a10: (85, 215)
b10: (54, 184)
c10: (125, 255)
d10: (94, 224)
e10: (30, 160)
f10: (61, 191)
g10: (122, 252)
h10: (89, 219)
m10: (25, 155)
n11: (58, 188)
a11: (116, 246)
b11: (19, 149)
c11: (83, 213)
d11: (52, 182)
e11: (7, 137)
f11: (40, 170)
g11: (104, 234)
h11: (71, 201)
m11: (129, 259)
n12: (128, 258)
a12: (123, 253)
b12: (92, 222)
c12: (28, 158)
d12: (59, 189)
e12: (31, 161)
f12: (95, 225)
g12: (9, 139)
h12: (42, 172)
m12: (106, 236)
n13: (73, 203)
C4[ 260, 1 ]
260
-1 132 2 260 130
-2 1 133 3 131
-3 132 2 134 4
-4 133 3 135 5
-5 134 4 136 6
-6 135 5 137 7
-7 136 6 138 8
-8 137 7 139 9
-9 138 8 140 10
-10 11 139 9 141
-11 12 140 10 142
-12 11 143 13 141
-13 12 144 14 142
-14 143 13 145 15
-15 144 14 146 16
-16 145 15 147 17
-17 146 16 148 18
-18 147 17 149 19
-19 148 18 150 20
-20 149 19 151 21
-21 22 150 20 152
-22 23 151 21 153
-23 22 154 24 152
-24 23 155 25 153
-25 154 24 156 26
-26 155 25 157 27
-27 156 26 158 28
-28 157 27 159 29
-29 158 28 160 30
-30 159 29 161 31
-31 160 30 162 32
-32 33 161 31 163
-33 34 162 32 164
-34 33 165 35 163
-35 34 166 36 164
-36 165 35 167 37
-37 166 36 168 38
-38 167 37 169 39
-39 168 38 170 40
-40 169 39 171 41
-41 170 40 172 42
-42 171 41 173 43
-43 44 172 42 174
-44 45 173 43 175
-45 44 176 46 174
-46 45 177 47 175
-47 176 46 178 48
-48 177 47 179 49
-49 178 48 180 50
-50 179 49 181 51
-51 180 50 182 52
-52 181 51 183 53
-53 182 52 184 54
-54 55 183 53 185
-55 56 184 54 186
-56 55 187 57 185
-57 56 188 58 186
-58 187 57 189 59
-59 188 58 190 60
-60 189 59 191 61
-61 190 60 192 62
-62 191 61 193 63
-63 192 62 194 64
-64 193 63 195 65
-65 66 194 64 196
-66 67 195 65 197
-67 66 198 68 196
-68 67 199 69 197
-69 198 68 200 70
-70 199 69 201 71
-71 200 70 202 72
-72 201 71 203 73
-73 202 72 204 74
-74 203 73 205 75
-75 204 74 206 76
-76 77 205 75 207
-77 78 206 76 208
-78 77 209 79 207
-79 78 210 80 208
-80 209 79 211 81
-81 210 80 212 82
-82 211 81 213 83
-83 212 82 214 84
-84 213 83 215 85
-85 214 84 216 86
-86 215 85 217 87
-87 88 216 86 218
-88 89 217 87 219
-89 88 220 90 218
-90 89 221 91 219
-91 220 90 222 92
-92 221 91 223 93
-93 222 92 224 94
-94 223 93 225 95
-95 224 94 226 96
-96 225 95 227 97
-97 226 96 228 98
-98 99 227 97 229
-99 100 228 98 230
-100 99 231 101 229
-101 100 232 102 230
-102 231 101 233 103
-103 232 102 234 104
-104 233 103 235 105
-105 234 104 236 106
-106 235 105 237 107
-107 236 106 238 108
-108 237 107 239 109
-109 110 238 108 240
-110 111 239 109 241
-111 110 242 112 240
-112 111 243 113 241
-113 242 112 244 114
-114 243 113 245 115
-115 244 114 246 116
-116 245 115 247 117
-117 246 116 248 118
-118 247 117 249 119
-119 248 118 250 120
-120 121 249 119 251
-121 122 250 120 252
-122 121 253 123 251
-123 122 254 124 252
-124 253 123 255 125
-125 254 124 256 126
-126 255 125 257 127
-127 256 126 258 128
-128 257 127 259 129
-129 258 128 260 130
-130 1 259 129 131
-131 132 2 260 130
-132 1 133 3 131
-133 132 2 134 4
-134 133 3 135 5
-135 134 4 136 6
-136 135 5 137 7
-137 136 6 138 8
-138 137 7 139 9
-139 138 8 140 10
-140 11 139 9 141
-141 12 140 10 142
-142 11 143 13 141
-143 12 144 14 142
-144 143 13 145 15
-145 144 14 146 16
-146 145 15 147 17
-147 146 16 148 18
-148 147 17 149 19
-149 148 18 150 20
-150 149 19 151 21
-151 22 150 20 152
-152 23 151 21 153
-153 22 154 24 152
-154 23 155 25 153
-155 154 24 156 26
-156 155 25 157 27
-157 156 26 158 28
-158 157 27 159 29
-159 158 28 160 30
-160 159 29 161 31
-161 160 30 162 32
-162 33 161 31 163
-163 34 162 32 164
-164 33 165 35 163
-165 34 166 36 164
-166 165 35 167 37
-167 166 36 168 38
-168 167 37 169 39
-169 168 38 170 40
-170 169 39 171 41
-171 170 40 172 42
-172 171 41 173 43
-173 44 172 42 174
-174 45 173 43 175
-175 44 176 46 174
-176 45 177 47 175
-177 176 46 178 48
-178 177 47 179 49
-179 178 48 180 50
-180 179 49 181 51
-181 180 50 182 52
-182 181 51 183 53
-183 182 52 184 54
-184 55 183 53 185
-185 56 184 54 186
-186 55 187 57 185
-187 56 188 58 186
-188 187 57 189 59
-189 188 58 190 60
-190 189 59 191 61
-191 190 60 192 62
-192 191 61 193 63
-193 192 62 194 64
-194 193 63 195 65
-195 66 194 64 196
-196 67 195 65 197
-197 66 198 68 196
-198 67 199 69 197
-199 198 68 200 70
-200 199 69 201 71
-201 200 70 202 72
-202 201 71 203 73
-203 202 72 204 74
-204 203 73 205 75
-205 204 74 206 76
-206 77 205 75 207
-207 78 206 76 208
-208 77 209 79 207
-209 78 210 80 208
-210 209 79 211 81
-211 210 80 212 82
-212 211 81 213 83
-213 212 82 214 84
-214 213 83 215 85
-215 214 84 216 86
-216 215 85 217 87
-217 88 216 86 218
-218 89 217 87 219
-219 88 220 90 218
-220 89 221 91 219
-221 220 90 222 92
-222 221 91 223 93
-223 222 92 224 94
-224 223 93 225 95
-225 224 94 226 96
-226 225 95 227 97
-227 226 96 228 98
-228 99 227 97 229
-229 100 228 98 230
-230 99 231 101 229
-231 100 232 102 230
-232 231 101 233 103
-233 232 102 234 104
-234 233 103 235 105
-235 234 104 236 106
-236 235 105 237 107
-237 236 106 238 108
-238 237 107 239 109
-239 110 238 108 240
-240 111 239 109 241
-241 110 242 112 240
-242 111 243 113 241
-243 242 112 244 114
-244 243 113 245 115
-245 244 114 246 116
-246 245 115 247 117
-247 246 116 248 118
-248 247 117 249 119
-249 248 118 250 120
-250 121 249 119 251
-251 122 250 120 252
-252 121 253 123 251
-253 122 254 124 252
-254 253 123 255 125
-255 254 124 256 126
-256 255 125 257 127
-257 256 126 258 128
-258 257 127 259 129
-259 258 128 260 130
-260 1 259 129 131
0