C4graphGraph forms for C4 [ 206, 1 ] = W(103,2)

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On this page are computer-accessible forms for the graph C4[ 206, 1 ] = W(103,2).

(I) Following is a form readable by MAGMA:

g:=Graph<206|{ {2, 3}, {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}, {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}, {42, 43}, {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}, {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}, {1, 2}, {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}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {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}, {3, 4}, {203, 204}, {195, 196}, {187, 188}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {147, 148}, {139, 140}, {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}, {115, 116}, {123, 124}, {131, 132}, {7, 8}, {199, 200}, {183, 184}, {167, 168}, {151, 152}, {135, 136}, {55, 56}, {23, 24}, {39, 40}, {71, 72}, {87, 88}, {103, 104}, {119, 120}, {15, 16}, {175, 176}, {143, 144}, {47, 48}, {79, 80}, {111, 112}, {31, 32}, {159, 160}, {95, 96}, {1, 103}, {8, 110}, {9, 111}, {16, 118}, {17, 119}, {24, 126}, {25, 127}, {1, 105}, {2, 106}, {3, 107}, {4, 108}, {5, 109}, {6, 110}, {7, 111}, {16, 120}, {17, 121}, {18, 122}, {19, 123}, {20, 124}, {21, 125}, {22, 126}, {23, 127}, {2, 104}, {3, 105}, {6, 108}, {7, 109}, {18, 120}, {19, 121}, {22, 124}, {23, 125}, {4, 106}, {5, 107}, {20, 122}, {21, 123}, {8, 112}, {9, 113}, {10, 114}, {11, 115}, {12, 116}, {13, 117}, {14, 118}, {15, 119}, {10, 112}, {11, 113}, {14, 116}, {15, 117}, {12, 114}, {13, 115}, {63, 64}, {191, 192}, {24, 128}, {63, 167}, {62, 166}, {61, 165}, {60, 164}, {59, 163}, {58, 162}, {57, 161}, {56, 160}, {25, 129}, {26, 130}, {27, 131}, {28, 132}, {29, 133}, {30, 134}, {31, 135}, {88, 192}, {89, 193}, {90, 194}, {91, 195}, {92, 196}, {93, 197}, {94, 198}, {95, 199}, {26, 128}, {63, 165}, {62, 164}, {59, 161}, {58, 160}, {27, 129}, {30, 132}, {31, 133}, {90, 192}, {91, 193}, {94, 196}, {95, 197}, {28, 130}, {61, 163}, {60, 162}, {29, 131}, {92, 194}, {93, 195}, {32, 134}, {57, 159}, {56, 158}, {49, 151}, {48, 150}, {41, 143}, {40, 142}, {33, 135}, {96, 198}, {97, 199}, {104, 206}, {32, 136}, {55, 159}, {54, 158}, {53, 157}, {52, 156}, {51, 155}, {50, 154}, {49, 153}, {48, 152}, {33, 137}, {34, 138}, {35, 139}, {36, 140}, {37, 141}, {38, 142}, {39, 143}, {96, 200}, {97, 201}, {98, 202}, {99, 203}, {100, 204}, {101, 205}, {102, 206}, {34, 136}, {55, 157}, {54, 156}, {51, 153}, {50, 152}, {35, 137}, {38, 140}, {39, 141}, {98, 200}, {99, 201}, {102, 204}, {103, 205}, {36, 138}, {53, 155}, {52, 154}, {37, 139}, {100, 202}, {101, 203}, {40, 144}, {47, 151}, {46, 150}, {45, 149}, {44, 148}, {43, 147}, {42, 146}, {41, 145}, {42, 144}, {47, 149}, {46, 148}, {43, 145}, {44, 146}, {45, 147}, {1, 206}, {64, 166}, {65, 167}, {72, 174}, {73, 175}, {80, 182}, {81, 183}, {88, 190}, {89, 191}, {64, 168}, {67, 171}, {66, 170}, {65, 169}, {68, 172}, {69, 173}, {70, 174}, {71, 175}, {80, 184}, {81, 185}, {82, 186}, {83, 187}, {84, 188}, {85, 189}, {86, 190}, {87, 191}, {66, 168}, {67, 169}, {70, 172}, {71, 173}, {82, 184}, {83, 185}, {86, 188}, {87, 189}, {68, 170}, {69, 171}, {84, 186}, {85, 187}, {72, 176}, {73, 177}, {74, 178}, {75, 179}, {76, 180}, {77, 181}, {78, 182}, {79, 183}, {74, 176}, {75, 177}, {78, 180}, {79, 181}, {76, 178}, {77, 179}, {127, 128} }>;

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

(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.

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&Graph
C4[ 206, 1 ]
206
-1 2 103 105 206
-2 1 3 104 106
-3 2 4 105 107
-4 3 5 106 108
-5 4 6 107 109
-6 110 5 7 108
-7 111 6 8 109
-8 110 112 7 9
-9 111 113 8 10
-10 11 112 114 9
-11 12 113 115 10
-12 11 13 114 116
-13 12 14 115 117
-14 13 15 116 118
-15 14 16 117 119
-16 15 17 118 120
-17 121 16 18 119
-18 122 17 19 120
-19 121 123 18 20
-20 122 124 19 21
-21 22 123 125 20
-22 23 124 126 21
-23 22 24 125 127
-24 23 25 126 128
-25 24 26 127 129
-26 25 27 128 130
-27 26 28 129 131
-28 132 27 29 130
-29 133 28 30 131
-30 132 134 29 31
-31 133 135 30 32
-32 33 134 136 31
-33 34 135 137 32
-34 33 35 136 138
-35 34 36 137 139
-36 35 37 138 140
-37 36 38 139 141
-38 37 39 140 142
-39 143 38 40 141
-40 144 39 41 142
-41 143 145 40 42
-42 144 146 41 43
-43 44 145 147 42
-44 45 146 148 43
-45 44 46 147 149
-46 45 47 148 150
-47 46 48 149 151
-48 47 49 150 152
-49 48 50 151 153
-50 154 49 51 152
-51 155 50 52 153
-52 154 156 51 53
-53 155 157 52 54
-54 55 156 158 53
-55 56 157 159 54
-56 55 57 158 160
-57 56 58 159 161
-58 57 59 160 162
-59 58 60 161 163
-60 59 61 162 164
-61 165 60 62 163
-62 166 61 63 164
-63 165 167 62 64
-64 166 168 63 65
-65 66 167 169 64
-66 67 168 170 65
-67 66 68 169 171
-68 67 69 170 172
-69 68 70 171 173
-70 69 71 172 174
-71 70 72 173 175
-72 176 71 73 174
-73 177 72 74 175
-74 176 178 73 75
-75 177 179 74 76
-76 77 178 180 75
-77 78 179 181 76
-78 77 79 180 182
-79 78 80 181 183
-80 79 81 182 184
-81 80 82 183 185
-82 81 83 184 186
-83 187 82 84 185
-84 188 83 85 186
-85 187 189 84 86
-86 188 190 85 87
-87 88 189 191 86
-88 89 190 192 87
-89 88 90 191 193
-90 89 91 192 194
-91 90 92 193 195
-92 91 93 194 196
-93 92 94 195 197
-94 198 93 95 196
-95 199 94 96 197
-96 198 200 95 97
-97 199 201 96 98
-98 99 200 202 97
-99 100 201 203 98
-100 99 101 202 204
-101 100 102 203 205
-102 101 103 204 206
-103 1 102 104 205
-104 2 103 105 206
-105 1 3 104 106
-106 2 4 105 107
-107 3 5 106 108
-108 4 6 107 109
-109 110 5 7 108
-110 111 6 8 109
-111 110 112 7 9
-112 111 113 8 10
-113 11 112 114 9
-114 12 113 115 10
-115 11 13 114 116
-116 12 14 115 117
-117 13 15 116 118
-118 14 16 117 119
-119 15 17 118 120
-120 121 16 18 119
-121 122 17 19 120
-122 121 123 18 20
-123 122 124 19 21
-124 22 123 125 20
-125 23 124 126 21
-126 22 24 125 127
-127 23 25 126 128
-128 24 26 127 129
-129 25 27 128 130
-130 26 28 129 131
-131 132 27 29 130
-132 133 28 30 131
-133 132 134 29 31
-134 133 135 30 32
-135 33 134 136 31
-136 34 135 137 32
-137 33 35 136 138
-138 34 36 137 139
-139 35 37 138 140
-140 36 38 139 141
-141 37 39 140 142
-142 143 38 40 141
-143 144 39 41 142
-144 143 145 40 42
-145 144 146 41 43
-146 44 145 147 42
-147 45 146 148 43
-148 44 46 147 149
-149 45 47 148 150
-150 46 48 149 151
-151 47 49 150 152
-152 48 50 151 153
-153 154 49 51 152
-154 155 50 52 153
-155 154 156 51 53
-156 155 157 52 54
-157 55 156 158 53
-158 56 157 159 54
-159 55 57 158 160
-160 56 58 159 161
-161 57 59 160 162
-162 58 60 161 163
-163 59 61 162 164
-164 165 60 62 163
-165 166 61 63 164
-166 165 167 62 64
-167 166 168 63 65
-168 66 167 169 64
-169 67 168 170 65
-170 66 68 169 171
-171 67 69 170 172
-172 68 70 171 173
-173 69 71 172 174
-174 70 72 173 175
-175 176 71 73 174
-176 177 72 74 175
-177 176 178 73 75
-178 177 179 74 76
-179 77 178 180 75
-180 78 179 181 76
-181 77 79 180 182
-182 78 80 181 183
-183 79 81 182 184
-184 80 82 183 185
-185 81 83 184 186
-186 187 82 84 185
-187 188 83 85 186
-188 187 189 84 86
-189 188 190 85 87
-190 88 189 191 86
-191 89 190 192 87
-192 88 90 191 193
-193 89 91 192 194
-194 90 92 193 195
-195 91 93 194 196
-196 92 94 195 197
-197 198 93 95 196
-198 199 94 96 197
-199 198 200 95 97
-200 199 201 96 98
-201 99 200 202 97
-202 100 201 203 98
-203 99 101 202 204
-204 100 102 203 205
-205 101 103 204 206
-206 1 102 104 205
0

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