C4graphGraph forms for C4 [ 244, 3 ] = R_122(63,62)

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On this page are computer-accessible forms for the graph C4[ 244, 3 ] = R_122(63,62).

(I) Following is a form readable by MAGMA:

g:=Graph<244|{ {2, 3}, {120, 121}, {118, 119}, {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}, {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}, {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}, {1, 2}, {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}, {67, 68}, {59, 60}, {51, 52}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {115, 116}, {7, 8}, {119, 120}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {87, 88}, {103, 104}, {15, 16}, {47, 48}, {79, 80}, {111, 112}, {64, 123}, {68, 127}, {128, 188}, {131, 191}, {130, 190}, {129, 189}, {65, 124}, {67, 126}, {128, 190}, {129, 191}, {31, 32}, {66, 125}, {95, 96}, {130, 192}, {182, 244}, {179, 241}, {178, 240}, {175, 237}, {174, 236}, {171, 233}, {170, 232}, {167, 229}, {166, 228}, {163, 225}, {162, 224}, {159, 221}, {158, 220}, {155, 217}, {154, 216}, {151, 213}, {150, 212}, {147, 209}, {146, 208}, {143, 205}, {142, 204}, {139, 201}, {138, 200}, {135, 197}, {134, 196}, {131, 193}, {132, 192}, {183, 243}, {182, 242}, {181, 241}, {180, 240}, {175, 235}, {174, 234}, {173, 233}, {172, 232}, {167, 227}, {166, 226}, {165, 225}, {164, 224}, {159, 219}, {158, 218}, {157, 217}, {156, 216}, {151, 211}, {150, 210}, {149, 209}, {148, 208}, {143, 203}, {142, 202}, {141, 201}, {140, 200}, {135, 195}, {134, 194}, {133, 193}, {132, 194}, {181, 243}, {180, 242}, {173, 235}, {172, 234}, {165, 227}, {164, 226}, {157, 219}, {156, 218}, {149, 211}, {148, 210}, {141, 203}, {140, 202}, {133, 195}, {136, 196}, {184, 244}, {171, 231}, {170, 230}, {169, 229}, {168, 228}, {155, 215}, {154, 214}, {153, 213}, {152, 212}, {139, 199}, {138, 198}, {137, 197}, {136, 198}, {169, 231}, {168, 230}, {153, 215}, {152, 214}, {137, 199}, {144, 204}, {179, 239}, {178, 238}, {177, 237}, {176, 236}, {147, 207}, {146, 206}, {145, 205}, {144, 206}, {177, 239}, {176, 238}, {145, 207}, {1, 123}, {4, 126}, {5, 127}, {1, 122}, {160, 220}, {163, 223}, {162, 222}, {161, 221}, {2, 124}, {161, 223}, {160, 222}, {3, 125}, {63, 64}, {6, 128}, {119, 241}, {118, 240}, {71, 193}, {70, 192}, {63, 185}, {62, 184}, {55, 177}, {54, 176}, {47, 169}, {46, 168}, {7, 129}, {14, 136}, {15, 137}, {22, 144}, {23, 145}, {30, 152}, {31, 153}, {38, 160}, {39, 161}, {78, 200}, {79, 201}, {86, 208}, {87, 209}, {94, 216}, {95, 217}, {102, 224}, {103, 225}, {110, 232}, {111, 233}, {8, 130}, {121, 243}, {120, 242}, {61, 183}, {60, 182}, {57, 179}, {56, 178}, {45, 167}, {9, 131}, {12, 134}, {13, 135}, {24, 146}, {25, 147}, {28, 150}, {29, 151}, {40, 162}, {41, 163}, {44, 166}, {72, 194}, {73, 195}, {76, 198}, {77, 199}, {88, 210}, {89, 211}, {92, 214}, {93, 215}, {104, 226}, {105, 227}, {108, 230}, {109, 231}, {10, 132}, {122, 244}, {59, 181}, {58, 180}, {11, 133}, {26, 148}, {27, 149}, {42, 164}, {43, 165}, {74, 196}, {75, 197}, {90, 212}, {91, 213}, {106, 228}, {107, 229}, {16, 138}, {117, 239}, {53, 175}, {52, 174}, {49, 171}, {48, 170}, {17, 139}, {20, 142}, {21, 143}, {80, 202}, {81, 203}, {84, 206}, {85, 207}, {112, 234}, {113, 235}, {116, 238}, {18, 140}, {51, 173}, {50, 172}, {19, 141}, {82, 204}, {83, 205}, {114, 236}, {115, 237}, {2, 183}, {8, 189}, {10, 191}, {1, 182}, {9, 190}, {32, 154}, {33, 155}, {36, 158}, {37, 159}, {96, 218}, {97, 219}, {100, 222}, {101, 223}, {3, 184}, {7, 188}, {4, 185}, {6, 187}, {34, 156}, {35, 157}, {98, 220}, {99, 221}, {5, 186}, {123, 185}, {127, 189}, {126, 188}, {124, 184}, {127, 187}, {126, 186}, {125, 185}, {69, 128}, {119, 178}, {117, 176}, {71, 130}, {77, 136}, {79, 138}, {85, 144}, {87, 146}, {93, 152}, {95, 154}, {101, 160}, {103, 162}, {109, 168}, {111, 170}, {124, 186}, {125, 187}, {70, 129}, {118, 177}, {78, 137}, {86, 145}, {94, 153}, {102, 161}, {110, 169}, {11, 192}, {120, 179}, {72, 131}, {63, 244}, {59, 240}, {47, 228}, {15, 196}, {27, 208}, {31, 212}, {43, 224}, {76, 135}, {88, 147}, {92, 151}, {104, 163}, {108, 167}, {123, 183}, {12, 193}, {121, 180}, {62, 243}, {60, 241}, {46, 227}, {44, 225}, {14, 195}, {28, 209}, {30, 211}, {73, 132}, {75, 134}, {89, 148}, {91, 150}, {105, 164}, {107, 166}, {13, 194}, {122, 181}, {61, 242}, {45, 226}, {29, 210}, {74, 133}, {90, 149}, {106, 165}, {16, 197}, {58, 239}, {56, 237}, {50, 231}, {48, 229}, {18, 199}, {24, 205}, {26, 207}, {17, 198}, {57, 238}, {49, 230}, {25, 206}, {19, 200}, {55, 236}, {51, 232}, {23, 204}, {80, 139}, {84, 143}, {112, 171}, {116, 175}, {20, 201}, {54, 235}, {52, 233}, {22, 203}, {81, 140}, {83, 142}, {113, 172}, {115, 174}, {21, 202}, {53, 234}, {82, 141}, {114, 173}, {32, 213}, {34, 215}, {40, 221}, {42, 223}, {33, 214}, {41, 222}, {64, 186}, {69, 191}, {68, 190}, {65, 187}, {35, 216}, {39, 220}, {96, 155}, {100, 159}, {36, 217}, {38, 219}, {97, 156}, {99, 158}, {66, 188}, {67, 189}, {37, 218}, {98, 157} }>;

(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: (23, 144)(24, 206)(84, 205)(85, 145)
b: (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)
c: (35, 156)(36, 218)(96, 217)(97, 157)
d: (11, 132)(12, 194)(72, 193)(73, 133)
e: (5, 126)(6, 188)(66, 187)(67, 127)
f: (20, 141)(21, 82)(22, 204)(81, 202)(83, 143)(142, 203)
g: (7, 128)(8, 190)(68, 189)(69, 129)
h: (39, 160)(40, 222)(100, 221)(101, 161)
m: (34, 155)(35, 96)(36, 218)(95, 216)(97, 157)(156, 217)
n1: (4, 125)(5, 66)(6, 188)(65, 186)(67, 127)(126, 187)
a1: (21, 142)(22, 204)(82, 203)(83, 143)
b1: (36, 157)(37, 98)(38, 220)(97, 218)(99, 159)(158, 219)
c1: (52, 173)(53, 114)(54, 236)(113, 234)(115, 175)(174, 235)
d1: (31, 152)(32, 214)(92, 213)(93, 153)
e1: (13, 134)(14, 196)(74, 195)(75, 135)
f1: (18, 139)(19, 80)(20, 202)(79, 200)(81, 141)(140, 201)
g1: (8, 129)(9, 70)(10, 192)(69, 190)(71, 131)(130, 191)
h1: (17, 138)(18, 200)(78, 199)(79, 139)
m1: (50, 171)(51, 112)(52, 234)(111, 232)(113, 173)(172, 233)
n2: (53, 174)(54, 236)(114, 235)(115, 175)
a2: (14, 135)(15, 76)(16, 198)(75, 196)(77, 137)(136, 197)
b2: (32, 153)(33, 94)(34, 216)(93, 214)(95, 155)(154, 215)
c2: (12, 133)(13, 74)(14, 196)(73, 194)(75, 135)(134, 195)
d2: (16, 137)(17, 78)(18, 200)(77, 198)(79, 139)(138, 199)
e2: (2, 182, 123, 122)(3, 60, 185, 181)(4, 59)(5, 58)(6, 57)(7, 56)(8, 55)(9, 54)(10, 53)(11, 52)(12, 51)(13, 50)(14, 49)(15, 48)(16, 47)(17, 46)(18, 45)(19, 44)(20, 43)(21, 42)(22, 41)(23, 40)(24, 39)(25, 38)(26, 37)(27, 36)(28, 35)(29, 34)(30, 33)(31, 32)(61, 63, 243, 184)(64, 121, 124, 242)(65, 120)(66, 119)(67, 118)(68, 117)(69, 116)(70, 115)(71, 114)(72, 113)(73, 112)(74, 111)(75, 110)(76, 109)(77, 108)(78, 107)(79, 106)(80, 105)(81, 104)(82, 103)(83, 102)(84, 101)(85, 100)(86, 99)(87, 98)(88, 97)(89, 96)(90, 95)(91, 94)(92, 93)(125, 241)(126, 240)(127, 239)(128, 238)(129, 237)(130, 236)(131, 235)(132, 234)(133, 233)(134, 232)(135, 231)(136, 230)(137, 229)(138, 228)(139, 227)(140, 226)(141, 225)(142, 224)(143, 223)(144, 222)(145, 221)(146, 220)(147, 219)(148, 218)(149, 217)(150, 216)(151, 215)(152, 214)(153, 213)(154, 212)(155, 211)(156, 210)(157, 209)(158, 208)(159, 207)(160, 206)(161, 205)(162, 204)(163, 203)(164, 202)(165, 201)(166, 200)(167, 199)(168, 198)(169, 197)(170, 196)(171, 195)(172, 194)(173, 193)(174, 192)(175, 191)(176, 190)(177, 189)(178, 188)(179, 187)(180, 186)(183, 244)
f2: (48, 169)(49, 110)(50, 232)(109, 230)(111, 171)(170, 231)
g2: (24, 145)(25, 86)(26, 208)(85, 206)(87, 147)(146, 207)
h2: (59, 180)(60, 242)(120, 241)(121, 181)
m2: (55, 176)(56, 238)(116, 237)(117, 177)
n3: (28, 149)(29, 90)(30, 212)(89, 210)(91, 151)(150, 211)
a3: (9, 130)(10, 192)(70, 191)(71, 131)
b3: (43, 164)(44, 226)(104, 225)(105, 165)
c3: (6, 127)(7, 68)(8, 190)(67, 188)(69, 129)(128, 189)
d3: (44, 165)(45, 106)(46, 228)(105, 226)(107, 167)(166, 227)
e3: (57, 178)(58, 240)(118, 239)(119, 179)
f3: (15, 136)(16, 198)(76, 197)(77, 137)
g3: (58, 179)(59, 120)(60, 242)(119, 240)(121, 181)(180, 241)
h3: (29, 150)(30, 212)(90, 211)(91, 151)
m3: (47, 168)(48, 230)(108, 229)(109, 169)
n4: (56, 177)(57, 118)(58, 240)(117, 238)(119, 179)(178, 239)
a4: (45, 166)(46, 228)(106, 227)(107, 167)
b4: (30, 151)(31, 92)(32, 214)(91, 212)(93, 153)(152, 213)
c4: (38, 159)(39, 100)(40, 222)(99, 220)(101, 161)(160, 221)
d4: (54, 175)(55, 116)(56, 238)(115, 236)(117, 177)(176, 237)
e4: (41, 162)(42, 224)(102, 223)(103, 163)
f4: (19, 140)(20, 202)(80, 201)(81, 141)
g4: (10, 131)(11, 72)(12, 194)(71, 192)(73, 133)(132, 193)
h4: (27, 148)(28, 210)(88, 209)(89, 149)
m4: (42, 163)(43, 104)(44, 226)(103, 224)(105, 165)(164, 225)
n5: (22, 143)(23, 84)(24, 206)(83, 204)(85, 145)(144, 205)
a5: (49, 170)(50, 232)(110, 231)(111, 171)
b5: (33, 154)(34, 216)(94, 215)(95, 155)
c5: (40, 161)(41, 102)(42, 224)(101, 222)(103, 163)(162, 223)
d5: (46, 167)(47, 108)(48, 230)(107, 228)(109, 169)(168, 229)
e5: (60, 181)(61, 243)(121, 242)(122, 182)
f5: (37, 158)(38, 220)(98, 219)(99, 159)
g5: (51, 172)(52, 234)(112, 233)(113, 173)
h5: (26, 147)(27, 88)(28, 210)(87, 208)(89, 149)(148, 209)
m5: (25, 146)(26, 208)(86, 207)(87, 147)

(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[ 244, 3 ]
244
-1 122 2 123 182
-2 1 3 124 183
-3 2 4 125 184
-4 3 5 126 185
-5 4 6 127 186
-6 187 5 7 128
-7 188 6 8 129
-8 189 7 9 130
-9 190 8 10 131
-10 11 132 191 9
-11 12 133 192 10
-12 11 13 134 193
-13 12 14 135 194
-14 13 15 136 195
-15 14 16 137 196
-16 15 17 138 197
-17 198 16 18 139
-18 199 17 19 140
-19 200 18 20 141
-20 201 19 21 142
-21 22 143 202 20
-22 23 144 203 21
-23 22 24 145 204
-24 23 25 146 205
-25 24 26 147 206
-26 25 27 148 207
-27 26 28 149 208
-28 209 27 29 150
-29 210 28 30 151
-30 211 29 31 152
-31 212 30 32 153
-32 33 154 213 31
-33 34 155 214 32
-34 33 35 156 215
-35 34 36 157 216
-36 35 37 158 217
-37 36 38 159 218
-38 37 39 160 219
-39 220 38 40 161
-40 221 39 41 162
-41 222 40 42 163
-42 223 41 43 164
-43 44 165 224 42
-44 45 166 225 43
-45 44 46 167 226
-46 45 47 168 227
-47 46 48 169 228
-48 47 49 170 229
-49 48 50 171 230
-50 231 49 51 172
-51 232 50 52 173
-52 233 51 53 174
-53 234 52 54 175
-54 55 176 235 53
-55 56 177 236 54
-56 55 57 178 237
-57 56 58 179 238
-58 57 59 180 239
-59 58 60 181 240
-60 59 61 182 241
-61 242 60 62 183
-62 243 61 63 184
-63 244 62 64 185
-64 123 63 65 186
-65 66 187 124 64
-66 67 188 125 65
-67 66 68 189 126
-68 67 69 190 127
-69 68 70 191 128
-70 69 71 192 129
-71 70 72 193 130
-72 71 73 194 131
-73 132 72 74 195
-74 133 73 75 196
-75 134 74 76 197
-76 77 198 135 75
-77 78 199 136 76
-78 77 79 200 137
-79 78 80 201 138
-80 79 81 202 139
-81 80 82 203 140
-82 81 83 204 141
-83 82 84 205 142
-84 143 83 85 206
-85 144 84 86 207
-86 145 85 87 208
-87 88 209 146 86
-88 89 210 147 87
-89 88 90 211 148
-90 89 91 212 149
-91 90 92 213 150
-92 91 93 214 151
-93 92 94 215 152
-94 93 95 216 153
-95 154 94 96 217
-96 155 95 97 218
-97 156 96 98 219
-98 99 220 157 97
-99 100 221 158 98
-100 99 101 222 159
-101 100 102 223 160
-102 101 103 224 161
-103 102 104 225 162
-104 103 105 226 163
-105 104 106 227 164
-106 165 105 107 228
-107 166 106 108 229
-108 167 107 109 230
-109 110 231 168 108
-110 111 232 169 109
-111 110 112 233 170
-112 111 113 234 171
-113 112 114 235 172
-114 113 115 236 173
-115 114 116 237 174
-116 115 117 238 175
-117 176 116 118 239
-118 177 117 119 240
-119 178 118 120 241
-120 121 242 179 119
-121 122 243 180 120
-122 121 1 244 181
-123 1 183 64 185
-124 2 184 65 186
-125 66 187 3 185
-126 67 188 4 186
-127 187 68 189 5
-128 188 69 190 6
-129 189 70 191 7
-130 190 71 192 8
-131 191 72 193 9
-132 192 73 194 10
-133 11 193 74 195
-134 12 194 75 196
-135 13 195 76 197
-136 77 198 14 196
-137 78 199 15 197
-138 198 79 200 16
-139 199 80 201 17
-140 200 81 202 18
-141 201 82 203 19
-142 202 83 204 20
-143 203 84 205 21
-144 22 204 85 206
-145 23 205 86 207
-146 24 206 87 208
-147 88 209 25 207
-148 89 210 26 208
-149 209 90 211 27
-150 210 91 212 28
-151 211 92 213 29
-152 212 93 214 30
-153 213 94 215 31
-154 214 95 216 32
-155 33 215 96 217
-156 34 216 97 218
-157 35 217 98 219
-158 99 220 36 218
-159 100 221 37 219
-160 220 101 222 38
-161 221 102 223 39
-162 222 103 224 40
-163 223 104 225 41
-164 224 105 226 42
-165 225 106 227 43
-166 44 226 107 228
-167 45 227 108 229
-168 46 228 109 230
-169 110 231 47 229
-170 111 232 48 230
-171 231 112 233 49
-172 232 113 234 50
-173 233 114 235 51
-174 234 115 236 52
-175 235 116 237 53
-176 236 117 238 54
-177 55 237 118 239
-178 56 238 119 240
-179 57 239 120 241
-180 121 242 58 240
-181 122 243 59 241
-182 242 1 244 60
-183 243 2 123 61
-184 244 3 124 62
-185 123 4 125 63
-186 124 5 126 64
-187 125 6 127 65
-188 66 126 7 128
-189 67 127 8 129
-190 68 128 9 130
-191 69 129 10 131
-192 11 132 70 130
-193 12 133 71 131
-194 132 13 134 72
-195 133 14 135 73
-196 134 15 136 74
-197 135 16 137 75
-198 136 17 138 76
-199 77 137 18 139
-200 78 138 19 140
-201 79 139 20 141
-202 80 140 21 142
-203 22 143 81 141
-204 23 144 82 142
-205 143 24 145 83
-206 144 25 146 84
-207 145 26 147 85
-208 146 27 148 86
-209 147 28 149 87
-210 88 148 29 150
-211 89 149 30 151
-212 90 150 31 152
-213 91 151 32 153
-214 33 154 92 152
-215 34 155 93 153
-216 154 35 156 94
-217 155 36 157 95
-218 156 37 158 96
-219 157 38 159 97
-220 158 39 160 98
-221 99 159 40 161
-222 100 160 41 162
-223 101 161 42 163
-224 102 162 43 164
-225 44 165 103 163
-226 45 166 104 164
-227 165 46 167 105
-228 166 47 168 106
-229 167 48 169 107
-230 168 49 170 108
-231 169 50 171 109
-232 110 170 51 172
-233 111 171 52 173
-234 112 172 53 174
-235 113 173 54 175
-236 55 176 114 174
-237 56 177 115 175
-238 176 57 178 116
-239 177 58 179 117
-240 178 59 180 118
-241 179 60 181 119
-242 180 61 182 120
-243 121 181 62 183
-244 122 182 63 184
0

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