C4graphGraph forms for C4 [ 204, 8 ] = R_102(53,52)

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On this page are computer-accessible forms for the graph C4[ 204, 8 ] = R_102(53,52).

(I) Following is a form readable by MAGMA:

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

(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: (9, 110)(10, 162)(60, 161)(61, 111)
b: (13, 114)(14, 166)(64, 165)(65, 115)
c: (21, 122)(22, 174)(72, 173)(73, 123)
d: (17, 118)(18, 170)(68, 169)(69, 119)
e: (38, 139)(39, 90)(40, 192)(89, 190)(91, 141)(140, 191)
f: (7, 108)(8, 160)(58, 159)(59, 109)
g: (25, 126)(26, 178)(76, 177)(77, 127)
h: (5, 106)(6, 158)(56, 157)(57, 107)
m: (2, 152, 103, 102)(3, 50, 155, 151)(4, 49)(5, 48)(6, 47)(7, 46)(8, 45)(9, 44)(10, 43)(11, 42)(12, 41)(13, 40)(14, 39)(15, 38)(16, 37)(17, 36)(18, 35)(19, 34)(20, 33)(21, 32)(22, 31)(23, 30)(24, 29)(25, 28)(26, 27)(51, 53, 203, 154)(54, 101, 104, 202)(55, 100)(56, 99)(57, 98)(58, 97)(59, 96)(60, 95)(61, 94)(62, 93)(63, 92)(64, 91)(65, 90)(66, 89)(67, 88)(68, 87)(69, 86)(70, 85)(71, 84)(72, 83)(73, 82)(74, 81)(75, 80)(76, 79)(77, 78)(105, 201)(106, 200)(107, 199)(108, 198)(109, 197)(110, 196)(111, 195)(112, 194)(113, 193)(114, 192)(115, 191)(116, 190)(117, 189)(118, 188)(119, 187)(120, 186)(121, 185)(122, 184)(123, 183)(124, 182)(125, 181)(126, 180)(127, 179)(128, 178)(129, 177)(130, 176)(131, 175)(132, 174)(133, 173)(134, 172)(135, 171)(136, 170)(137, 169)(138, 168)(139, 167)(140, 166)(141, 165)(142, 164)(143, 163)(144, 162)(145, 161)(146, 160)(147, 159)(148, 158)(149, 157)(150, 156)(153, 204)
n1: (45, 146)(46, 198)(96, 197)(97, 147)
a1: (4, 105)(5, 56)(6, 158)(55, 156)(57, 107)(106, 157)
b1: (15, 116)(16, 168)(66, 167)(67, 117)
c1: (41, 142)(42, 194)(92, 193)(93, 143)
d1: (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)
e1: (6, 107)(7, 58)(8, 160)(57, 158)(59, 109)(108, 159)
f1: (22, 123)(23, 74)(24, 176)(73, 174)(75, 125)(124, 175)
g1: (26, 127)(27, 78)(28, 180)(77, 178)(79, 129)(128, 179)
h1: (16, 117)(17, 68)(18, 170)(67, 168)(69, 119)(118, 169)
m1: (39, 140)(40, 192)(90, 191)(91, 141)
n2: (49, 150)(50, 202)(100, 201)(101, 151)
a2: (32, 133)(33, 84)(34, 186)(83, 184)(85, 135)(134, 185)
b2: (8, 109)(9, 60)(10, 162)(59, 160)(61, 111)(110, 161)
c2: (23, 124)(24, 176)(74, 175)(75, 125)
d2: (48, 149)(49, 100)(50, 202)(99, 200)(101, 151)(150, 201)
e2: (14, 115)(15, 66)(16, 168)(65, 166)(67, 117)(116, 167)
f2: (34, 135)(35, 86)(36, 188)(85, 186)(87, 137)(136, 187)
g2: (42, 143)(43, 94)(44, 196)(93, 194)(95, 145)(144, 195)
h2: (43, 144)(44, 196)(94, 195)(95, 145)
m2: (33, 134)(34, 186)(84, 185)(85, 135)
n3: (47, 148)(48, 200)(98, 199)(99, 149)
a3: (36, 137)(37, 88)(38, 190)(87, 188)(89, 139)(138, 189)
b3: (11, 112)(12, 164)(62, 163)(63, 113)
c3: (31, 132)(32, 184)(82, 183)(83, 133)
d3: (18, 119)(19, 70)(20, 172)(69, 170)(71, 121)(120, 171)
e3: (24, 125)(25, 76)(26, 178)(75, 176)(77, 127)(126, 177)
f3: (46, 147)(47, 98)(48, 200)(97, 198)(99, 149)(148, 199)
g3: (44, 145)(45, 96)(46, 198)(95, 196)(97, 147)(146, 197)
h3: (30, 131)(31, 82)(32, 184)(81, 182)(83, 133)(132, 183)
m3: (27, 128)(28, 180)(78, 179)(79, 129)
n4: (19, 120)(20, 172)(70, 171)(71, 121)
a4: (29, 130)(30, 182)(80, 181)(81, 131)
b4: (40, 141)(41, 92)(42, 194)(91, 192)(93, 143)(142, 193)
c4: (10, 111)(11, 62)(12, 164)(61, 162)(63, 113)(112, 163)
d4: (12, 113)(13, 64)(14, 166)(63, 164)(65, 115)(114, 165)
e4: (37, 138)(38, 190)(88, 189)(89, 139)
f4: (28, 129)(29, 80)(30, 182)(79, 180)(81, 131)(130, 181)
g4: (35, 136)(36, 188)(86, 187)(87, 137)
h4: (50, 151)(51, 203)(101, 202)(102, 152)
m4: (20, 121)(21, 72)(22, 174)(71, 172)(73, 123)(122, 173)

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

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