C4graphGraph forms for C4 [ 224, 25 ] = PL(Curtain_28(1,14,9,15,23),[4^28,8^14])

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On this page are computer-accessible forms for the graph C4[ 224, 25 ] = PL(Curtain_28(1,14,9,15,23),[4^28,8^14]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {105, 122} under the group generated by the following permutations:

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

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

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