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On this page are computer-accessible forms for the graph C4[ 224, 32 ] = SDD(R_28(16,15)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {46, 127} under the group generated by the following permutations:

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

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

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