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On this page are computer-accessible forms for the graph C4[ 244, 4 ] = SDD(C_61(1,11)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {16, 127} under the group generated by the following permutations:

a: (134, 195)
b: (133, 194)
c: (168, 229)
d: (140, 201)
e: (138, 199)
f: (153, 214)
g: (157, 218)
h: (171, 232)
m: (175, 236)
n1: (126, 187)
a1: (136, 197)
b1: (160, 221)
c1: (178, 239)
d1: (169, 230)
e1: (165, 226)
f1: (135, 196)
g1: (141, 202)
h1: (149, 210)
m1: (166, 227)
n2: (179, 240)
a2: (154, 215)
b2: (173, 234)
c2: (123, 184)
d2: (176, 237)
e2: (163, 224)
f2: (183, 244)
g2: (172, 233)
h2: (159, 220)
m2: (150, 211)
n3: (156, 217)
a3: (181, 242)
b3: (148, 209)
c3: (124, 185)
d3: (147, 208)
e3: (182, 243)
f3: (129, 190)
g3: (164, 225)
h3: (125, 186)
m3: (151, 212)
n4: (2, 7)(3, 6)(4, 5)(8, 122)(9, 112)(10, 34)(11, 121)(12, 110)(13, 31)(14, 120)(15, 108)(16, 28)(17, 119)(18, 106)(19, 25)(20, 118)(21, 104)(23, 117)(24, 102)(26, 116)(27, 100)(29, 115)(30, 98)(32, 114)(33, 96)(35, 113)(36, 94)(37, 111)(38, 92)(39, 109)(40, 90)(41, 107)(42, 88)(43, 105)(44, 86)(45, 103)(46, 84)(47, 101)(48, 82)(49, 99)(50, 80)(51, 97)(52, 78)(53, 95)(54, 76)(55, 93)(56, 74)(57, 91)(58, 72)(59, 89)(60, 70)(61, 87)(62, 68)(63, 85)(64, 66)(65, 83)(67, 81)(69, 79)(71, 77)(73, 75)(123, 124)(125, 183)(126, 182)(127, 181)(128, 180)(129, 179)(130, 178)(131, 177)(132, 176)(133, 175)(134, 174)(135, 173)(136, 172)(137, 171)(138, 170)(139, 169)(140, 168)(141, 167)(142, 166)(143, 165)(144, 164)(145, 163)(146, 162)(147, 161)(148, 160)(149, 159)(150, 158)(151, 157)(152, 156)(153, 155)(184, 185)(186, 244)(187, 243)(188, 242)(189, 241)(190, 240)(191, 239)(192, 238)(193, 237)(194, 236)(195, 235)(196, 234)(197, 233)(198, 232)(199, 231)(200, 230)(201, 229)(202, 228)(203, 227)(204, 226)(205, 225)(206, 224)(207, 223)(208, 222)(209, 221)(210, 220)(211, 219)(212, 218)(213, 217)(214, 216)
a4: (143, 204)
b4: (177, 238)
c4: (131, 192)
d4: (180, 241)
e4: (174, 235)
f4: (139, 200)
g4: (145, 206)
h4: (162, 223)
m4: (128, 189)
n5: (1, 2, 4, 3)(5, 36, 122, 92)(6, 32, 112, 113)(7, 35, 34, 111)(8, 58, 121, 70)(9, 55, 110, 91)(10, 57, 31, 89)(11, 80, 120, 48)(12, 77, 108, 69)(13, 79, 28, 67)(14, 102, 119, 21)(15, 99, 106, 47)(16, 101, 25, 45)(17, 19, 118, 22)(18, 117, 104, 20)(23, 46, 116, 82)(24, 43, 100, 103)(26, 68, 115, 60)(27, 65, 98, 81)(29, 90, 114, 38)(30, 87, 96, 59)(33, 109, 94, 37)(39, 56, 107, 72)(40, 53, 88, 93)(41, 78, 105, 50)(42, 75, 86, 71)(44, 97, 84, 49)(51, 66, 95, 62)(52, 63, 76, 83)(54, 85, 74, 61)(64, 73)(124, 134, 183, 173)(125, 145, 182, 162)(126, 156, 181, 151)(127, 167, 180, 140)(128, 178, 179, 129)(130, 139, 177, 168)(131, 150, 176, 157)(132, 161, 175, 146)(133, 172, 174, 135)(136, 144, 171, 163)(137, 155, 170, 152)(138, 166, 169, 141)(142, 149, 165, 158)(143, 160, 164, 147)(148, 154, 159, 153)(185, 195, 244, 234)(186, 206, 243, 223)(187, 217, 242, 212)(188, 228, 241, 201)(189, 239, 240, 190)(191, 200, 238, 229)(192, 211, 237, 218)(193, 222, 236, 207)(194, 233, 235, 196)(197, 205, 232, 224)(198, 216, 231, 213)(199, 227, 230, 202)(203, 210, 226, 219)(204, 221, 225, 208)(209, 215, 220, 214)
a5: (167, 228)
b5: (137, 198)
c5: (130, 191)
d5: (132, 193)
e5: (155, 216)
f5: (161, 222)
g5: (152, 213)
h5: (127, 188)
m5: (158, 219)
n6: (144, 205)
a6: (146, 207)
b6: (170, 231)

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

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