C4graphGraph forms for C4 [ 308, 6 ] = SDD(C_77(1,34))

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On this page are computer-accessible forms for the graph C4[ 308, 6 ] = SDD(C_77(1,34)).

(I) Following is a form readable by MAGMA:

g:=Graph<308|{ {131, 181}, {128, 197}, {131, 209}, {137, 212}, {144, 205}, {145, 244}, {138, 236}, {143, 233}, {142, 232}, {144, 250}, {129, 234}, {152, 245}, {138, 229}, {137, 251}, {129, 247}, {131, 244}, {128, 249}, {130, 248}, {134, 252}, {129, 255}, {75, 203}, {105, 233}, {104, 232}, {38, 167}, {107, 234}, {106, 235}, {57, 184}, {51, 178}, {50, 179}, {39, 166}, {37, 167}, {103, 229}, {102, 228}, {56, 186}, {49, 179}, {47, 173}, {39, 165}, {108, 239}, {53, 177}, {113, 245}, {112, 244}, {119, 242}, {120, 253}, {101, 227}, {121, 254}, {39, 175}, {68, 204}, {69, 205}, {70, 206}, {71, 207}, {82, 218}, {66, 203}, {121, 240}, {117, 252}, {96, 233}, {85, 220}, {86, 223}, {64, 202}, {115, 249}, {67, 201}, {63, 180}, {103, 236}, {65, 202}, {85, 222}, {86, 218}, {116, 248}, {48, 189}, {99, 238}, {93, 208}, {47, 161}, {81, 223}, {82, 220}, {83, 221}, {85, 219}, {87, 217}, {81, 222}, {121, 246}, {38, 182}, {118, 230}, {48, 160}, {40, 184}, {32, 177}, {108, 253}, {45, 188}, {42, 187}, {34, 179}, {36, 182}, {100, 246}, {37, 183}, {63, 173}, {94, 204}, {33, 178}, {45, 190}, {41, 186}, {92, 207}, {11, 159}, {100, 240}, {43, 191}, {65, 213}, {76, 216}, {91, 206}, {119, 226}, {35, 181}, {38, 176}, {79, 217}, {66, 213}, {120, 239}, {67, 212}, {4, 156}, {109, 245}, {98, 250}, {50, 170}, {39, 191}, {6, 158}, {5, 157}, {72, 208}, {89, 193}, {2, 155}, {88, 193}, {1, 155}, {126, 228}, {100, 254}, {51, 169}, {73, 211}, {63, 164}, {1, 157}, {1, 156}, {99, 254}, {3, 158}, {2, 159}, {74, 212}, {111, 241}, {75, 213}, {2, 162}, {122, 218}, {13, 173}, {3, 163}, {1, 160}, {24, 185}, {3, 161}, {25, 187}, {24, 186}, {73, 235}, {93, 255}, {7, 164}, {84, 247}, {19, 183}, {20, 176}, {18, 183}, {115, 214}, {86, 243}, {87, 242}, {8, 174}, {123, 221}, {122, 220}, {98, 196}, {9, 175}, {68, 227}, {2, 171}, {101, 204}, {17, 184}, {16, 185}, {76, 229}, {7, 173}, {16, 186}, {90, 240}, {70, 237}, {110, 197}, {84, 255}, {4, 168}, {107, 199}, {50, 158}, {15, 163}, {14, 162}, {13, 161}, {12, 160}, {9, 165}, {6, 170}, {5, 169}, {65, 237}, {8, 165}, {96, 205}, {10, 167}, {22, 184}, {51, 157}, {23, 185}, {3, 172}, {111, 192}, {31, 176}, {9, 166}, {67, 236}, {79, 224}, {14, 190}, {22, 166}, {80, 224}, {12, 189}, {31, 174}, {30, 175}, {29, 172}, {27, 170}, {74, 251}, {80, 225}, {26, 168}, {7, 180}, {26, 169}, {16, 164}, {118, 194}, {114, 198}, {76, 248}, {86, 226}, {4, 177}, {98, 215}, {18, 167}, {6, 179}, {9, 191}, {11, 189}, {91, 237}, {94, 232}, {5, 178}, {28, 171}, {17, 166}, {11, 188}, {72, 255}, {87, 224}, {88, 239}, {97, 216}, {106, 211}, {10, 176}, {107, 209}, {21, 175}, {20, 174}, {15, 180}, {90, 225}, {10, 182}, {24, 164}, {8, 181}, {79, 242}, {80, 238}, {99, 221}, {84, 234}, {69, 250}, {109, 210}, {95, 159}, {110, 174}, {11, 202}, {14, 204}, {49, 243}, {19, 209}, {18, 208}, {17, 211}, {15, 205}, {7, 196}, {33, 226}, {23, 212}, {96, 163}, {13, 201}, {53, 241}, {26, 222}, {61, 249}, {95, 155}, {4, 193}, {119, 178}, {26, 223}, {22, 211}, {6, 195}, {89, 156}, {5, 194}, {52, 243}, {21, 210}, {12, 203}, {60, 251}, {47, 231}, {53, 253}, {46, 231}, {55, 254}, {40, 227}, {110, 165}, {58, 241}, {10, 198}, {115, 191}, {30, 210}, {25, 213}, {8, 197}, {49, 252}, {41, 228}, {42, 229}, {56, 247}, {57, 246}, {32, 241}, {36, 245}, {34, 243}, {18, 192}, {43, 249}, {42, 248}, {78, 156}, {20, 199}, {33, 242}, {25, 202}, {77, 158}, {78, 157}, {19, 199}, {96, 180}, {46, 251}, {78, 155}, {24, 206}, {52, 226}, {48, 230}, {44, 250}, {30, 200}, {31, 200}, {35, 244}, {31, 199}, {22, 207}, {55, 238}, {57, 227}, {60, 231}, {110, 181}, {109, 182}, {20, 200}, {107, 183}, {56, 228}, {21, 200}, {97, 188}, {32, 253}, {28, 193}, {59, 230}, {16, 206}, {41, 247}, {40, 246}, {34, 252}, {23, 201}, {17, 207}, {64, 159}, {97, 190}, {38, 198}, {94, 190}, {77, 172}, {37, 192}, {14, 232}, {47, 201}, {15, 233}, {44, 196}, {54, 222}, {49, 217}, {89, 177}, {12, 230}, {55, 221}, {54, 220}, {13, 231}, {52, 223}, {77, 161}, {29, 240}, {54, 219}, {46, 195}, {52, 218}, {53, 219}, {77, 163}, {78, 160}, {56, 215}, {57, 214}, {50, 195}, {51, 194}, {89, 168}, {35, 209}, {42, 216}, {28, 239}, {88, 171}, {25, 237}, {95, 171}, {27, 238}, {45, 216}, {37, 208}, {30, 235}, {36, 210}, {90, 172}, {76, 187}, {61, 197}, {62, 198}, {81, 169}, {19, 234}, {59, 194}, {81, 168}, {27, 225}, {58, 192}, {65, 187}, {67, 185}, {80, 170}, {23, 236}, {48, 203}, {44, 215}, {34, 217}, {32, 219}, {27, 224}, {63, 196}, {29, 225}, {64, 188}, {94, 162}, {43, 214}, {64, 189}, {95, 162}, {21, 235}, {41, 215}, {40, 214}, {60, 195}, {28, 270}, {29, 271}, {61, 295}, {62, 290}, {59, 294}, {55, 275}, {60, 277}, {45, 263}, {59, 278}, {61, 269}, {33, 272}, {35, 273}, {58, 264}, {58, 265}, {62, 267}, {36, 274}, {62, 265}, {43, 275}, {44, 276}, {46, 277}, {54, 267}, {71, 263}, {108, 301}, {104, 298}, {113, 307}, {71, 260}, {103, 291}, {71, 258}, {68, 258}, {91, 285}, {70, 257}, {104, 303}, {93, 276}, {72, 259}, {105, 293}, {108, 288}, {106, 292}, {79, 256}, {83, 284}, {73, 281}, {118, 294}, {116, 292}, {114, 290}, {74, 282}, {75, 283}, {84, 261}, {125, 303}, {83, 256}, {66, 279}, {120, 301}, {116, 289}, {90, 271}, {88, 270}, {87, 256}, {82, 266}, {125, 293}, {120, 288}, {92, 260}, {66, 283}, {117, 300}, {91, 257}, {113, 299}, {68, 287}, {105, 306}, {70, 285}, {92, 263}, {72, 276}, {124, 288}, {75, 279}, {69, 280}, {82, 268}, {112, 302}, {83, 269}, {85, 267}, {92, 258}, {93, 259}, {127, 288}, {115, 275}, {126, 286}, {118, 278}, {117, 277}, {100, 262}, {125, 287}, {74, 297}, {124, 280}, {97, 263}, {111, 265}, {105, 271}, {104, 270}, {101, 258}, {127, 280}, {123, 284}, {119, 272}, {111, 264}, {102, 257}, {113, 281}, {126, 279}, {69, 296}, {73, 292}, {112, 286}, {99, 275}, {122, 266}, {116, 260}, {102, 279}, {106, 281}, {124, 264}, {112, 261}, {98, 276}, {123, 269}, {122, 268}, {127, 264}, {102, 286}, {114, 267}, {101, 287}, {103, 285}, {114, 265}, {125, 262}, {123, 256}, {127, 259}, {109, 274}, {126, 257}, {124, 259}, {121, 262}, {117, 266}, {142, 270}, {154, 282}, {143, 271}, {152, 281}, {129, 261}, {130, 260}, {149, 274}, {132, 268}, {153, 273}, {144, 280}, {134, 266}, {128, 269}, {146, 287}, {145, 286}, {139, 282}, {141, 284}, {131, 273}, {134, 277}, {137, 282}, {136, 283}, {145, 261}, {146, 262}, {133, 272}, {132, 274}, {135, 273}, {138, 285}, {140, 283}, {133, 284}, {149, 268}, {140, 278}, {141, 272}, {136, 278}, {135, 295}, {137, 297}, {142, 303}, {140, 302}, {130, 289}, {133, 294}, {142, 298}, {150, 306}, {149, 304}, {151, 306}, {130, 292}, {136, 302}, {132, 290}, {128, 295}, {139, 300}, {153, 305}, {138, 291}, {154, 307}, {134, 300}, {154, 304}, {143, 293}, {141, 294}, {152, 307}, {153, 308}, {147, 291}, {147, 289}, {135, 308}, {152, 299}, {132, 304}, {133, 305}, {148, 289}, {135, 305}, {154, 300}, {146, 293}, {149, 290}, {148, 291}, {139, 307}, {147, 299}, {144, 296}, {140, 308}, {147, 297}, {151, 301}, {139, 304}, {150, 301}, {136, 308}, {150, 298}, {141, 305}, {143, 306}, {151, 298}, {148, 297}, {146, 303}, {150, 296}, {153, 295}, {145, 302}, {151, 296}, {148, 299} }>;

(II) A more general form is to represent the graph as the orbit of {131, 181} under the group generated by the following permutations:

a: (11, 64)
b: (108, 120)
c: (139, 154)
d: (23, 67)
e: (69, 144)
f: (84, 129)
g: (62, 114)
h: (44, 98)
m: (43, 115)
n1: (82, 122)
a1: (72, 93)
b1: (2, 4)(3, 7)(5, 12)(6, 16)(9, 20)(10, 17)(11, 26)(14, 32)(18, 40)(19, 43)(22, 38)(23, 46)(24, 50)(25, 52)(27, 41)(29, 44)(31, 39)(33, 66)(34, 70)(35, 61)(36, 73)(37, 57)(42, 82)(45, 54)(48, 51)(49, 91)(53, 94)(55, 84)(56, 80)(58, 68)(60, 67)(62, 71)(63, 77)(64, 81)(65, 86)(69, 105)(72, 100)(75, 119)(76, 122)(79, 102)(83, 112)(85, 97)(87, 126)(89, 95)(90, 98)(92, 114)(93, 121)(99, 129)(101, 111)(103, 117)(104, 108)(106, 109)(107, 115)(116, 132)(120, 142)(123, 145)(124, 125)(127, 146)(128, 131)(130, 149)(133, 136)(134, 138)(139, 147)(140, 141)(143, 144)(148, 154)(155, 156)(157, 160)(158, 164)(159, 168)(161, 173)(162, 177)(163, 180)(165, 174)(166, 176)(167, 184)(169, 189)(170, 186)(171, 193)(172, 196)(175, 200)(178, 203)(179, 206)(181, 197)(182, 211)(183, 214)(185, 195)(187, 218)(188, 222)(190, 219)(191, 199)(192, 227)(194, 230)(198, 207)(201, 231)(202, 223)(204, 241)(205, 233)(208, 246)(209, 249)(210, 235)(212, 251)(213, 226)(215, 225)(216, 220)(217, 257)(221, 261)(224, 228)(229, 266)(232, 253)(234, 275)(236, 277)(237, 243)(238, 247)(239, 270)(240, 276)(242, 279)(244, 269)(245, 281)(248, 268)(250, 271)(252, 285)(254, 255)(256, 286)(258, 265)(259, 262)(260, 290)(263, 267)(264, 287)(272, 283)(273, 295)(274, 292)(278, 294)(280, 293)(282, 297)(284, 302)(288, 303)(289, 304)(291, 300)(296, 306)(298, 301)(299, 307)(305, 308)
c1: (68, 101)
d1: (12, 48)
e1: (14, 94)
f1: (18, 37)
g1: (35, 131)
h1: (125, 146)
m1: (3, 77)
n2: (132, 149)
a2: (61, 128)
b2: (105, 143)
c2: (9, 39)
d2: (74, 137)
e2: (59, 118)
f2: (133, 141)
g2: (1, 2)(3, 8)(4, 11)(5, 14)(6, 9)(7, 19)(10, 23)(12, 28)(13, 20)(15, 35)(16, 18)(17, 34)(21, 46)(22, 49)(24, 37)(25, 32)(26, 45)(27, 43)(29, 61)(30, 60)(31, 47)(33, 68)(36, 74)(38, 67)(39, 50)(40, 79)(41, 72)(42, 54)(44, 84)(48, 88)(51, 94)(52, 71)(53, 65)(56, 93)(57, 87)(58, 70)(59, 104)(62, 103)(63, 107)(64, 89)(66, 108)(69, 112)(73, 117)(75, 120)(76, 85)(77, 110)(78, 95)(80, 115)(81, 97)(82, 116)(83, 100)(86, 92)(90, 128)(91, 111)(96, 131)(98, 129)(101, 119)(102, 124)(105, 135)(106, 134)(109, 137)(113, 139)(114, 138)(118, 142)(121, 123)(122, 130)(125, 133)(126, 127)(132, 147)(136, 150)(140, 151)(141, 146)(143, 153)(144, 145)(148, 149)(152, 154)(156, 159)(157, 162)(158, 165)(160, 171)(161, 174)(163, 181)(164, 183)(166, 179)(167, 185)(168, 188)(169, 190)(170, 191)(172, 197)(173, 199)(175, 195)(176, 201)(177, 202)(178, 204)(180, 209)(182, 212)(184, 217)(186, 208)(187, 219)(189, 193)(192, 206)(194, 232)(196, 234)(198, 236)(200, 231)(203, 239)(205, 244)(207, 243)(210, 251)(211, 252)(213, 253)(214, 224)(215, 255)(216, 222)(218, 260)(220, 248)(221, 254)(223, 263)(225, 249)(226, 258)(227, 242)(228, 259)(229, 267)(230, 270)(233, 273)(235, 277)(237, 241)(238, 275)(240, 269)(245, 282)(246, 256)(247, 276)(250, 261)(257, 264)(262, 284)(265, 285)(266, 292)(268, 289)(271, 295)(272, 287)(274, 297)(278, 298)(279, 288)(280, 286)(281, 300)(283, 301)(290, 291)(293, 305)(294, 303)(296, 302)(299, 304)(306, 308)
h2: (150, 151)
m2: (21, 30)
n3: (32, 53)
a3: (15, 96)
b3: (17, 22)
c3: (45, 97)
d3: (46, 60)
e3: (52, 86)
f3: (102, 126)
g3: (135, 153)
h3: (26, 81)
m3: (147, 148)
n4: (7, 63)
a4: (25, 65)
b4: (6, 50)
c4: (8, 110)
d4: (33, 119)
e4: (34, 49)
f4: (16, 24)
g4: (83, 123)
h4: (66, 75)
m4: (36, 109)
n5: (104, 142)
a5: (28, 88)
b5: (19, 107)
c5: (29, 90)
d5: (100, 121)
e5: (124, 127)
f5: (4, 89)
g5: (13, 47)
h5: (70, 91)
m5: (41, 56)
n6: (116, 130)
a6: (42, 76)
b6: (5, 51)
c6: (136, 140)
d6: (71, 92)
e6: (112, 145)
f6: (113, 152)
g6: (20, 31)
h6: (117, 134)
m6: (40, 57)
n7: (79, 87)
a7: (58, 111)
b7: (55, 99)
c7: (73, 106)
d7: (54, 85)
e7: (27, 80)
f7: (2, 12)(3, 20)(4, 5)(6, 10)(7, 9)(8, 15)(13, 21)(14, 66)(16, 17)(18, 27)(19, 29)(22, 24)(23, 73)(25, 45)(28, 59)(30, 47)(31, 77)(32, 33)(34, 62)(35, 105)(36, 46)(37, 80)(38, 50)(39, 63)(40, 41)(43, 44)(48, 95)(49, 114)(51, 89)(52, 54)(53, 119)(55, 72)(56, 57)(58, 79)(60, 109)(61, 69)(65, 97)(67, 106)(68, 102)(70, 71)(74, 113)(75, 94)(83, 124)(84, 100)(85, 86)(87, 111)(88, 118)(90, 107)(91, 92)(93, 99)(96, 110)(98, 115)(101, 126)(103, 116)(104, 136)(108, 133)(112, 125)(117, 132)(120, 141)(121, 129)(123, 127)(128, 144)(130, 138)(131, 143)(134, 149)(135, 150)(137, 152)(140, 142)(145, 146)(151, 153)(155, 160)(156, 157)(158, 176)(159, 189)(161, 200)(162, 203)(163, 174)(164, 166)(165, 180)(167, 170)(168, 169)(171, 230)(172, 199)(173, 175)(177, 178)(179, 198)(181, 233)(182, 195)(183, 225)(184, 186)(185, 211)(187, 216)(188, 202)(190, 213)(191, 196)(192, 224)(193, 194)(197, 205)(201, 235)(204, 279)(206, 207)(208, 238)(209, 271)(210, 231)(212, 281)(214, 215)(217, 265)(218, 220)(219, 226)(221, 259)(222, 223)(227, 228)(229, 248)(232, 283)(234, 240)(236, 292)(237, 263)(239, 294)(241, 242)(243, 267)(244, 293)(245, 251)(246, 247)(249, 250)(252, 290)(253, 272)(254, 255)(256, 264)(257, 258)(260, 285)(261, 262)(266, 268)(269, 280)(270, 278)(273, 306)(274, 277)(275, 276)(282, 307)(284, 288)(286, 287)(289, 291)(295, 296)(297, 299)(298, 308)(300, 304)(301, 305)(302, 303)
g7: (10, 38)
h7: (2, 95)

(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.

**************

&Graph
C4[ 308, 6 ]
308
-1 155 156 157 160
-2 155 159 171 162
-3 158 161 172 163
-4 177 156 168 193
-5 178 157 169 194
-6 179 158 170 195
-7 180 173 196 164
-8 165 181 174 197
-9 165 166 191 175
-10 176 198 167 182
-11 188 189 202 159
-12 189 203 160 230
-13 231 201 161 173
-14 232 190 204 162
-15 233 180 205 163
-16 206 185 164 186
-17 166 211 184 207
-18 167 192 183 208
-19 209 199 234 183
-20 176 199 200 174
-21 210 200 235 175
-22 166 211 184 207
-23 201 212 236 185
-24 206 185 164 186
-25 187 202 213 237
-26 222 168 223 169
-27 224 170 225 238
-28 171 193 270 239
-29 225 172 271 240
-30 210 200 235 175
-31 176 199 200 174
-32 253 177 219 241
-33 242 178 226 272
-34 243 179 217 252
-35 209 244 181 273
-36 210 245 182 274
-37 167 192 183 208
-38 176 198 167 182
-39 165 166 191 175
-40 246 214 227 184
-41 247 215 228 186
-42 187 248 216 229
-43 275 191 214 249
-44 276 215 250 196
-45 188 190 216 263
-46 231 277 195 251
-47 231 201 161 173
-48 189 203 160 230
-49 243 179 217 252
-50 179 158 170 195
-51 178 157 169 194
-52 243 223 226 218
-53 253 177 219 241
-54 220 222 267 219
-55 275 221 254 238
-56 247 215 228 186
-57 246 214 227 184
-58 264 265 192 241
-59 278 194 294 230
-60 231 277 195 251
-61 269 249 295 197
-62 198 265 267 290
-63 180 173 196 164
-64 188 189 202 159
-65 187 202 213 237
-66 213 279 203 283
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-178 33 5 51 119
-179 34 49 6 50
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-181 110 35 8 131
-182 36 38 10 109
-183 37 18 19 107
-184 22 57 17 40
-185 23 67 24 16
-186 56 24 16 41
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-188 11 45 64 97
-189 11 12 48 64
-190 45 14 94 97
-191 115 39 9 43
-192 111 58 37 18
-193 88 89 4 28
-194 59 5 51 118
-195 46 60 6 50
-196 44 7 63 98
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-198 114 38 62 10
-199 19 107 20 31
-200 30 20 31 21
-201 23 67 13 47
-202 11 25 64 65
-203 66 12 48 75
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-205 144 69 15 96
-206 24 91 70 16
-207 22 92 71 17
-208 37 93 72 18
-209 35 19 107 131
-210 36 30 21 109
-211 22 17 73 106
-212 23 67 137 74
-213 66 25 75 65
-214 57 115 40 43
-215 44 56 41 98
-216 45 42 97 76
-217 34 79 49 87
-218 122 82 52 86
-219 85 53 32 54
-220 122 82 85 54
-221 55 99 123 83
-222 26 81 85 54
-223 26 81 52 86
-224 79 80 27 87
-225 90 80 27 29
-226 33 52 86 119
-227 57 68 101 40
-228 56 102 126 41
-229 103 138 42 76
-230 12 48 59 118
-231 13 46 47 60
-232 14 104 94 142
-233 143 15 105 96
-234 84 19 107 129
-235 73 106 30 21
-236 23 67 103 138
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-238 55 99 80 27
-239 88 28 108 120
-240 121 100 90 29
-241 111 58 53 32
-242 33 79 119 87
-243 34 49 52 86
-244 35 112 145 131
-245 36 113 152 109
-246 121 100 57 40
-247 56 84 41 129
-248 116 42 130 76
-249 115 61 128 43
-250 44 144 69 98
-251 46 60 137 74
-252 34 134 49 117
-253 53 108 32 120
-254 55 99 121 100
-255 93 72 84 129
-256 79 123 83 87
-257 91 102 70 126
-258 68 101 92 71
-259 124 93 72 127
-260 92 71 116 130
-261 112 145 84 129
-262 121 100 146 125
-263 45 92 71 97
-264 111 58 124 127
-265 111 58 114 62
-266 122 134 82 117
-267 114 62 85 54
-268 132 122 82 149
-269 123 61 83 128
-270 88 104 28 142
-271 143 90 105 29
-272 33 133 119 141
-273 35 135 131 153
-274 132 36 149 109
-275 55 99 115 43
-276 44 93 72 98
-277 46 134 60 117
-278 59 136 118 140
-279 66 102 126 75
-280 144 69 124 127
-281 113 73 106 152
-282 154 137 139 74
-283 66 136 140 75
-284 133 123 83 141
-285 91 70 103 138
-286 112 145 102 126
-287 68 101 146 125
-288 124 127 108 120
-289 147 148 116 130
-290 132 114 149 62
-291 103 147 148 138
-292 116 73 106 130
-293 143 146 125 105
-294 133 59 118 141
-295 135 61 128 153
-296 144 69 150 151
-297 147 137 148 74
-298 104 150 151 142
-299 113 147 148 152
-300 154 134 117 139
-301 150 151 108 120
-302 112 145 136 140
-303 146 125 104 142
-304 132 154 149 139
-305 133 135 141 153
-306 143 105 150 151
-307 154 113 139 152
-308 135 136 140 153
0

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