1>>> Level = conductor = 11 <<< 2Minimal curve = [0,-1,1,-10,-20] 3 4Enter sign (1,-1,0 for both):Newform information: 5 61 newform(s) at level 11: 7p0=2 8#ap= 500 91: aplist = [ -2 -1 1 -2 1 4 -2 0 -1 0 7 3 -8 -6 8 -6 5 12 -7 -3 ...] 10aq = [ -1 ] 11ap0 = -2, dp0 = 2, np0 = 5, pdot = -10 12SFE = 1, L/P = 2/5 13lplus = 1, mplus = 1 14lminus = 3, mminus = 2 15[(4,1;1,3),-1,1;1] 16 17Modular symbol map (+,-) 18(0:1) = {0,oo} -> (-2/5,0) 19(1:1) = {0,1} -> (0,0) 20(2:1) = {0,1/2} -> (-2,0) 21(3:1) = {0,1/3} -> (-1,1) 22(4:1) = {0,1/4} -> (1,1) 23(5:1) = {0,1/5} -> (2,0) 24(6:1) = {0,1/6} -> (2,0) 25(7:1) = {0,1/7} -> (1,-1) 26(8:1) = {0,1/8} -> (-1,-1) 27(9:1) = {0,1/9} -> (-2,0) 28(10:1) = {0,1/10} -> (0,0) 29(1:0) = {oo,0} -> (2/5,0) 30 31Computation of further modular symbols 32 33Base point? (enter 0 for 0, or 1 for oo) Values of {0,r} for rational r: 34Enter numerator and denominator of r: 35All modular symbols with bounded denominator 36 37Enter maximum denominator (0 for none): {0,0} -> (0,0) 38{0,1/2} -> (-2,0) 39{0,1/3} -> (-1,1) 40{0,2/3} -> (-1,-1) 41{0,1/4} -> (1,1) 42{0,3/4} -> (1,-1) 43{0,1/5} -> (2,0) 44{0,2/5} -> (-3,1) 45{0,3/5} -> (-3,-1) 46{0,4/5} -> (2,0) 47>>> Level = conductor = 11 <<< 48Minimal curve = [0,-1,1,-10,-20] 49 50Enter sign (1,-1,0 for both):Newform information: 51 521 newform(s) at level 11: 53p0=2 54#ap= 500 551: aplist = [ -2 -1 1 -2 1 4 -2 0 -1 0 7 3 -8 -6 8 -6 5 12 -7 -3 ...] 56aq = [ -1 ] 57ap0 = -2, dp0 = 2, np0 = 5, pdot = -10 58SFE = 1, L/P = 2/5 59lplus = 1, mplus = 1 60[(-5,1;-1,2),-2,0;?] 61 62Modular symbol map (+) 63(0:1) = {0,oo} -> -2/5 64(1:1) = {0,1} -> 0 65(2:1) = {0,1/2} -> -2 66(3:1) = {0,1/3} -> -1 67(4:1) = {0,1/4} -> 1 68(5:1) = {0,1/5} -> 2 69(6:1) = {0,1/6} -> 2 70(7:1) = {0,1/7} -> 1 71(8:1) = {0,1/8} -> -1 72(9:1) = {0,1/9} -> -2 73(10:1) = {0,1/10} -> 0 74(1:0) = {oo,0} -> 2/5 75 76Computation of further modular symbols 77 78Base point? (enter 0 for 0, or 1 for oo) Values of {0,r} for rational r: 79Enter numerator and denominator of r: 80All modular symbols with bounded denominator 81 82Enter maximum denominator (0 for none): {0,0} -> 0 83{0,1/2} -> -2 84{0,1/3} -> -1 85{0,2/3} -> -1 86{0,1/4} -> 1 87{0,3/4} -> 1 88{0,1/5} -> 2 89{0,2/5} -> -3 90{0,3/5} -> -3 91{0,4/5} -> 2 92>>> Level = conductor = 11 <<< 93Minimal curve = [0,-1,1,-10,-20] 94 95Enter sign (1,-1,0 for both):Newform information: 96 971 newform(s) at level 11: 98p0=2 99#ap= 500 1001: aplist = [ -2 -1 1 -2 1 4 -2 0 -1 0 7 3 -8 -6 8 -6 5 12 -7 -3 ...] 101aq = [ -1 ] 102ap0 = -2, dp0 = 2, np0 = 5, pdot = -10 103SFE = 1, L/P = 2/5 104lplus = 1, mplus = 1 105lminus = 3, mminus = 2 106[(4,1;1,3),-1,1;1] 107 108Modular symbol map (+,-) 109(0:1) = {0,oo} -> (-2/5,0) 110(1:1) = {0,1} -> (0,0) 111(2:1) = {0,1/2} -> (-2,0) 112(3:1) = {0,1/3} -> (-1,1) 113(4:1) = {0,1/4} -> (1,1) 114(5:1) = {0,1/5} -> (2,0) 115(6:1) = {0,1/6} -> (2,0) 116(7:1) = {0,1/7} -> (1,-1) 117(8:1) = {0,1/8} -> (-1,-1) 118(9:1) = {0,1/9} -> (-2,0) 119(10:1) = {0,1/10} -> (0,0) 120(1:0) = {oo,0} -> (2/5,0) 121 122Computation of further modular symbols 123 124Base point? (enter 0 for 0, or 1 for oo) Values of {oo,r} for rational r: 125Enter numerator and denominator of r: 126All modular symbols with bounded denominator 127 128Enter maximum denominator (0 for none): {oo,0} -> (2/5,0) 129{oo,1/2} -> (-8/5,0) 130{oo,1/3} -> (-3/5,1) 131{oo,2/3} -> (-3/5,-1) 132{oo,1/4} -> (7/5,1) 133{oo,3/4} -> (7/5,-1) 134{oo,1/5} -> (12/5,0) 135{oo,2/5} -> (-13/5,1) 136{oo,3/5} -> (-13/5,-1) 137{oo,4/5} -> (12/5,0) 138>>> Level = conductor = 11 <<< 139Minimal curve = [0,-1,1,-10,-20] 140 141Enter sign (1,-1,0 for both):Newform information: 142 1431 newform(s) at level 11: 144p0=2 145#ap= 500 1461: aplist = [ -2 -1 1 -2 1 4 -2 0 -1 0 7 3 -8 -6 8 -6 5 12 -7 -3 ...] 147aq = [ -1 ] 148ap0 = -2, dp0 = 2, np0 = 5, pdot = -10 149SFE = 1, L/P = 2/5 150lplus = 1, mplus = 1 151[(-5,1;-1,2),-2,0;?] 152 153Modular symbol map (+) 154(0:1) = {0,oo} -> -2/5 155(1:1) = {0,1} -> 0 156(2:1) = {0,1/2} -> -2 157(3:1) = {0,1/3} -> -1 158(4:1) = {0,1/4} -> 1 159(5:1) = {0,1/5} -> 2 160(6:1) = {0,1/6} -> 2 161(7:1) = {0,1/7} -> 1 162(8:1) = {0,1/8} -> -1 163(9:1) = {0,1/9} -> -2 164(10:1) = {0,1/10} -> 0 165(1:0) = {oo,0} -> 2/5 166 167Computation of further modular symbols 168 169Base point? (enter 0 for 0, or 1 for oo) Values of {oo,r} for rational r: 170Enter numerator and denominator of r: 171All modular symbols with bounded denominator 172 173Enter maximum denominator (0 for none): {oo,0} -> 2/5 174{oo,1/2} -> -8/5 175{oo,1/3} -> -3/5 176{oo,2/3} -> -3/5 177{oo,1/4} -> 7/5 178{oo,3/4} -> 7/5 179{oo,1/5} -> 12/5 180{oo,2/5} -> -13/5 181{oo,3/5} -> -13/5 182{oo,4/5} -> 12/5 183>>> Level = conductor = 11 <<< 184Minimal curve = [0,-1,1,0,0] 185 186Enter sign (1,-1,0 for both):Newform information: 187 1881 newform(s) at level 11: 189p0=2 190#ap= 500 1911: aplist = [ -2 -1 1 -2 1 4 -2 0 -1 0 7 3 -8 -6 8 -6 5 12 -7 -3 ...] 192aq = [ -1 ] 193ap0 = -2, dp0 = 2, np0 = 5, pdot = -10 194SFE = 1, L/P = 2/5 195lplus = 1, mplus = 1 196lminus = 3, mminus = 2 197[(4,1;1,3),-1,1;1] 198 199Modular symbol map (+,-) 200(0:1) = {0,oo} -> (-2/25,0) 201(1:1) = {0,1} -> (0,0) 202(2:1) = {0,1/2} -> (-2/5,0) 203(3:1) = {0,1/3} -> (-1/5,1) 204(4:1) = {0,1/4} -> (1/5,1) 205(5:1) = {0,1/5} -> (2/5,0) 206(6:1) = {0,1/6} -> (2/5,0) 207(7:1) = {0,1/7} -> (1/5,-1) 208(8:1) = {0,1/8} -> (-1/5,-1) 209(9:1) = {0,1/9} -> (-2/5,0) 210(10:1) = {0,1/10} -> (0,0) 211(1:0) = {oo,0} -> (2/25,0) 212 213Computation of further modular symbols 214 215Base point? (enter 0 for 0, or 1 for oo) Values of {0,r} for rational r: 216Enter numerator and denominator of r: 217All modular symbols with bounded denominator 218 219Enter maximum denominator (0 for none): {0,0} -> (0,0) 220{0,1/2} -> (-2/5,0) 221{0,1/3} -> (-1/5,1) 222{0,2/3} -> (-1/5,-1) 223{0,1/4} -> (1/5,1) 224{0,3/4} -> (1/5,-1) 225{0,1/5} -> (2/5,0) 226{0,2/5} -> (-3/5,1) 227{0,3/5} -> (-3/5,-1) 228{0,4/5} -> (2/5,0) 229>>> Level = conductor = 11 <<< 230Minimal curve = [0,-1,1,-7820,-263580] 231 232Enter sign (1,-1,0 for both):Newform information: 233 2341 newform(s) at level 11: 235p0=2 236#ap= 500 2371: aplist = [ -2 -1 1 -2 1 4 -2 0 -1 0 7 3 -8 -6 8 -6 5 12 -7 -3 ...] 238aq = [ -1 ] 239ap0 = -2, dp0 = 2, np0 = 5, pdot = -10 240SFE = 1, L/P = 2/5 241lplus = 1, mplus = 1 242lminus = 3, mminus = 2 243[(4,1;1,3),-1,1;1] 244 245Modular symbol map (+,-) 246(0:1) = {0,oo} -> (-2,0) 247(1:1) = {0,1} -> (0,0) 248(2:1) = {0,1/2} -> (-10,0) 249(3:1) = {0,1/3} -> (-5,1) 250(4:1) = {0,1/4} -> (5,1) 251(5:1) = {0,1/5} -> (10,0) 252(6:1) = {0,1/6} -> (10,0) 253(7:1) = {0,1/7} -> (5,-1) 254(8:1) = {0,1/8} -> (-5,-1) 255(9:1) = {0,1/9} -> (-10,0) 256(10:1) = {0,1/10} -> (0,0) 257(1:0) = {oo,0} -> (2,0) 258 259Computation of further modular symbols 260 261Base point? (enter 0 for 0, or 1 for oo) Values of {0,r} for rational r: 262Enter numerator and denominator of r: 263All modular symbols with bounded denominator 264 265Enter maximum denominator (0 for none): {0,0} -> (0,0) 266{0,1/2} -> (-10,0) 267{0,1/3} -> (-5,1) 268{0,2/3} -> (-5,-1) 269{0,1/4} -> (5,1) 270{0,3/4} -> (5,-1) 271{0,1/5} -> (10,0) 272{0,2/5} -> (-15,1) 273{0,3/5} -> (-15,-1) 274{0,4/5} -> (10,0) 275>>> Level = conductor = 37 <<< 276Minimal curve = [0,0,1,-1,0] 277 278Enter sign (1,-1,0 for both):Newform information: 279 2801 newform(s) at level 37: 281p0=2 282#ap= 608 2831: aplist = [ -2 -3 -2 -1 -5 -2 0 0 2 6 -4 -1 -9 2 -9 1 8 -8 8 9 ...] 284aq = [ 1 ] 285ap0 = -2, dp0 = 0, np0 = 5 286SFE = -1, L/P = 0 287lplus = 5, mplus = 4 288lminus = 3, mminus = 2 289[(14,1;3,8),1,-1;2] 290 291Modular symbol map (+,-) 292(0:1) = {0,oo} -> (0,0) 293(1:1) = {0,1} -> (0,0) 294(2:1) = {0,1/2} -> (0,0) 295(3:1) = {0,1/3} -> (0,1) 296(4:1) = {0,1/4} -> (0,1) 297(5:1) = {0,1/5} -> (1,0) 298(6:1) = {0,1/6} -> (0,0) 299(7:1) = {0,1/7} -> (1,0) 300(8:1) = {0,1/8} -> (1,-1) 301(9:1) = {0,1/9} -> (0,-1) 302(10:1) = {0,1/10} -> (0,0) 303(11:1) = {0,1/11} -> (0,0) 304(12:1) = {0,1/12} -> (0,-1) 305(13:1) = {0,1/13} -> (0,-1) 306(14:1) = {0,1/14} -> (-1,-1) 307(15:1) = {0,1/15} -> (-1,0) 308(16:1) = {0,1/16} -> (-1,0) 309(17:1) = {0,1/17} -> (0,1) 310(18:1) = {0,1/18} -> (0,0) 311(19:1) = {0,1/19} -> (0,0) 312(20:1) = {0,1/20} -> (0,-1) 313(21:1) = {0,1/21} -> (-1,0) 314(22:1) = {0,1/22} -> (-1,0) 315(23:1) = {0,1/23} -> (-1,1) 316(24:1) = {0,1/24} -> (0,1) 317(25:1) = {0,1/25} -> (0,1) 318(26:1) = {0,1/26} -> (0,0) 319(27:1) = {0,1/27} -> (0,0) 320(28:1) = {0,1/28} -> (0,1) 321(29:1) = {0,1/29} -> (1,1) 322(30:1) = {0,1/30} -> (1,0) 323(31:1) = {0,1/31} -> (0,0) 324(32:1) = {0,1/32} -> (1,0) 325(33:1) = {0,1/33} -> (0,-1) 326(34:1) = {0,1/34} -> (0,-1) 327(35:1) = {0,1/35} -> (0,0) 328(36:1) = {0,1/36} -> (0,0) 329(1:0) = {oo,0} -> (0,0) 330 331Computation of further modular symbols 332 333Base point? (enter 0 for 0, or 1 for oo) Values of {0,r} for rational r: 334Enter numerator and denominator of r: 335All modular symbols with bounded denominator 336 337Enter maximum denominator (0 for none): >>> Level = conductor = 37 <<< 338Minimal curve = [0,0,1,-1,0] 339 340Enter sign (1,-1,0 for both):Newform information: 341 3421 newform(s) at level 37: 343p0=2 344#ap= 608 3451: aplist = [ -2 -3 -2 -1 -5 -2 0 0 2 6 -4 -1 -9 2 -9 1 8 -8 8 9 ...] 346aq = [ 1 ] 347ap0 = -2, dp0 = 0, np0 = 5 348SFE = -1, L/P = 0 349lplus = 5, mplus = 4 350[(15,1;2,5),1,0;?] 351 352Modular symbol map (+) 353(0:1) = {0,oo} -> 0 354(1:1) = {0,1} -> 0 355(2:1) = {0,1/2} -> 0 356(3:1) = {0,1/3} -> 0 357(4:1) = {0,1/4} -> 0 358(5:1) = {0,1/5} -> 1 359(6:1) = {0,1/6} -> 0 360(7:1) = {0,1/7} -> 1 361(8:1) = {0,1/8} -> 1 362(9:1) = {0,1/9} -> 0 363(10:1) = {0,1/10} -> 0 364(11:1) = {0,1/11} -> 0 365(12:1) = {0,1/12} -> 0 366(13:1) = {0,1/13} -> 0 367(14:1) = {0,1/14} -> -1 368(15:1) = {0,1/15} -> -1 369(16:1) = {0,1/16} -> -1 370(17:1) = {0,1/17} -> 0 371(18:1) = {0,1/18} -> 0 372(19:1) = {0,1/19} -> 0 373(20:1) = {0,1/20} -> 0 374(21:1) = {0,1/21} -> -1 375(22:1) = {0,1/22} -> -1 376(23:1) = {0,1/23} -> -1 377(24:1) = {0,1/24} -> 0 378(25:1) = {0,1/25} -> 0 379(26:1) = {0,1/26} -> 0 380(27:1) = {0,1/27} -> 0 381(28:1) = {0,1/28} -> 0 382(29:1) = {0,1/29} -> 1 383(30:1) = {0,1/30} -> 1 384(31:1) = {0,1/31} -> 0 385(32:1) = {0,1/32} -> 1 386(33:1) = {0,1/33} -> 0 387(34:1) = {0,1/34} -> 0 388(35:1) = {0,1/35} -> 0 389(36:1) = {0,1/36} -> 0 390(1:0) = {oo,0} -> 0 391 392Computation of further modular symbols 393 394Base point? (enter 0 for 0, or 1 for oo) Values of {0,r} for rational r: 395Enter numerator and denominator of r: 396All modular symbols with bounded denominator 397 398Enter maximum denominator (0 for none): >>> Level = conductor = 389 <<< 399Minimal curve = [0,1,1,-2,0] 400 401Enter sign (1,-1,0 for both):Newform information: 402 4031 newform(s) at level 389: 404p0=2 405#ap= 1972 4061: aplist = [ -2 -2 -3 -5 -4 -3 -6 5 -4 -6 4 -8 -3 12 -2 -6 3 -8 -5 -10 ...] 407aq = [ -1 ] 408ap0 = -2, dp0 = 0, np0 = 5 409SFE = 1, L/P = 0 410lplus = 5, mplus = 8 411lminus = 3, mminus = 4 412[(-111,1;-2,7),1,-1;2] 413 414Modular symbol map (+,-) 415(0:1) = {0,oo} -> (0,0) 416(1:1) = {0,1} -> (0,0) 417(2:1) = {0,1/2} -> (0,0) 418(3:1) = {0,1/3} -> (0,2) 419(4:1) = {0,1/4} -> (0,0) 420(5:1) = {0,1/5} -> (2,0) 421(6:1) = {0,1/6} -> (0,0) 422(7:1) = {0,1/7} -> (1,-1) 423(8:1) = {0,1/8} -> (0,1) 424(9:1) = {0,1/9} -> (-1,-1) 425(10:1) = {0,1/10} -> (0,0) 426(11:1) = {0,1/11} -> (1,0) 427(12:1) = {0,1/12} -> (0,-1) 428(13:1) = {0,1/13} -> (0,-2) 429(14:1) = {0,1/14} -> (-1,1) 430(15:1) = {0,1/15} -> (0,0) 431(16:1) = {0,1/16} -> (1,-1) 432(17:1) = {0,1/17} -> (0,1) 433(18:1) = {0,1/18} -> (1,-1) 434(19:1) = {0,1/19} -> (0,-1) 435(20:1) = {0,1/20} -> (-1,0) 436(21:1) = {0,1/21} -> (0,-1) 437(22:1) = {0,1/22} -> (0,0) 438(23:1) = {0,1/23} -> (0,1) 439(24:1) = {0,1/24} -> (1,-1) 440(25:1) = {0,1/25} -> (-1,-1) 441(26:1) = {0,1/26} -> (0,0) 442(27:1) = {0,1/27} -> (1,1) 443(28:1) = {0,1/28} -> (1,-1) 444(29:1) = {0,1/29} -> (0,-1) 445(30:1) = {0,1/30} -> (0,-2) 446(31:1) = {0,1/31} -> (-1,-3) 447(32:1) = {0,1/32} -> (-2,-1) 448(33:1) = {0,1/33} -> (-2,-1) 449(34:1) = {0,1/34} -> (-1,0) 450(35:1) = {0,1/35} -> (-1,0) 451(36:1) = {0,1/36} -> (0,1) 452(37:1) = {0,1/37} -> (0,1) 453(38:1) = {0,1/38} -> (-1,1) 454(39:1) = {0,1/39} -> (0,0) 455(40:1) = {0,1/40} -> (1,0) 456(41:1) = {0,1/41} -> (0,-1) 457(42:1) = {0,1/42} -> (-1,-1) 458(43:1) = {0,1/43} -> (1,-1) 459(44:1) = {0,1/44} -> (-1,-1) 460(45:1) = {0,1/45} -> (0,-2) 461(46:1) = {0,1/46} -> (-1,-3) 462(47:1) = {0,1/47} -> (-2,1) 463(48:1) = {0,1/48} -> (-2,1) 464(49:1) = {0,1/49} -> (0,-1) 465(50:1) = {0,1/50} -> (0,1) 466(51:1) = {0,1/51} -> (0,-1) 467(52:1) = {0,1/52} -> (0,1) 468(53:1) = {0,1/53} -> (0,0) 469(54:1) = {0,1/54} -> (0,-1) 470(55:1) = {0,1/55} -> (-1,-1) 471(56:1) = {0,1/56} -> (-1,1) 472(57:1) = {0,1/57} -> (-1,-1) 473(58:1) = {0,1/58} -> (-1,-1) 474(59:1) = {0,1/59} -> (-2,2) 475(60:1) = {0,1/60} -> (0,2) 476(61:1) = {0,1/61} -> (0,1) 477(62:1) = {0,1/62} -> (0,2) 478(63:1) = {0,1/63} -> (0,0) 479(64:1) = {0,1/64} -> (2,0) 480(65:1) = {0,1/65} -> (0,0) 481(66:1) = {0,1/66} -> (1,1) 482(67:1) = {0,1/67} -> (0,-2) 483(68:1) = {0,1/68} -> (0,-2) 484(69:1) = {0,1/69} -> (0,-2) 485(70:1) = {0,1/70} -> (0,-1) 486(71:1) = {0,1/71} -> (0,-2) 487(72:1) = {0,1/72} -> (-1,-1) 488(73:1) = {0,1/73} -> (-1,-1) 489(74:1) = {0,1/74} -> (-1,-2) 490(75:1) = {0,1/75} -> (0,0) 491(76:1) = {0,1/76} -> (0,-2) 492(77:1) = {0,1/77} -> (-2,0) 493(78:1) = {0,1/78} -> (-2,0) 494(79:1) = {0,1/79} -> (-2,0) 495(80:1) = {0,1/80} -> (-2,0) 496(81:1) = {0,1/81} -> (-1,1) 497(82:1) = {0,1/82} -> (-1,2) 498(83:1) = {0,1/83} -> (0,0) 499(84:1) = {0,1/84} -> (0,2) 500(85:1) = {0,1/85} -> (-1,1) 501(86:1) = {0,1/86} -> (-2,2) 502(87:1) = {0,1/87} -> (0,2) 503(88:1) = {0,1/88} -> (0,2) 504(89:1) = {0,1/89} -> (-1,1) 505(90:1) = {0,1/90} -> (-1,3) 506(91:1) = {0,1/91} -> (-2,2) 507(92:1) = {0,1/92} -> (-1,4) 508(93:1) = {0,1/93} -> (1,3) 509(94:1) = {0,1/94} -> (1,1) 510(95:1) = {0,1/95} -> (2,2) 511(96:1) = {0,1/96} -> (2,0) 512(97:1) = {0,1/97} -> (0,0) 513(98:1) = {0,1/98} -> (0,2) 514(99:1) = {0,1/99} -> (1,1) 515(100:1) = {0,1/100} -> (1,0) 516(101:1) = {0,1/101} -> (0,0) 517(102:1) = {0,1/102} -> (-1,1) 518(103:1) = {0,1/103} -> (1,0) 519(104:1) = {0,1/104} -> (0,0) 520(105:1) = {0,1/105} -> (-1,-1) 521(106:1) = {0,1/106} -> (-1,0) 522(107:1) = {0,1/107} -> (-1,0) 523(108:1) = {0,1/108} -> (-1,1) 524(109:1) = {0,1/109} -> (-1,2) 525(110:1) = {0,1/110} -> (-1,2) 526(111:1) = {0,1/111} -> (-1,1) 527(112:1) = {0,1/112} -> (-1,1) 528(113:1) = {0,1/113} -> (-1,3) 529(114:1) = {0,1/114} -> (1,1) 530(115:1) = {0,1/115} -> (0,0) 531(116:1) = {0,1/116} -> (1,1) 532(117:1) = {0,1/117} -> (0,2) 533(118:1) = {0,1/118} -> (1,-1) 534(119:1) = {0,1/119} -> (1,1) 535(120:1) = {0,1/120} -> (-1,-1) 536(121:1) = {0,1/121} -> (0,2) 537(122:1) = {0,1/122} -> (-1,1) 538(123:1) = {0,1/123} -> (0,2) 539(124:1) = {0,1/124} -> (-1,0) 540(125:1) = {0,1/125} -> (-1,1) 541(126:1) = {0,1/126} -> (0,2) 542(127:1) = {0,1/127} -> (0,1) 543(128:1) = {0,1/128} -> (-2,2) 544(129:1) = {0,1/129} -> (0,2) 545(130:1) = {0,1/130} -> (0,2) 546(131:1) = {0,1/131} -> (0,2) 547(132:1) = {0,1/132} -> (1,1) 548(133:1) = {0,1/133} -> (0,2) 549(134:1) = {0,1/134} -> (1,3) 550(135:1) = {0,1/135} -> (-1,1) 551(136:1) = {0,1/136} -> (0,2) 552(137:1) = {0,1/137} -> (-1,2) 553(138:1) = {0,1/138} -> (1,3) 554(139:1) = {0,1/139} -> (1,1) 555(140:1) = {0,1/140} -> (1,1) 556(141:1) = {0,1/141} -> (2,0) 557(142:1) = {0,1/142} -> (0,0) 558(143:1) = {0,1/143} -> (0,2) 559(144:1) = {0,1/144} -> (0,0) 560(145:1) = {0,1/145} -> (1,2) 561(146:1) = {0,1/146} -> (0,1) 562(147:1) = {0,1/147} -> (-1,2) 563(148:1) = {0,1/148} -> (1,4) 564(149:1) = {0,1/149} -> (2,1) 565(150:1) = {0,1/150} -> (0,0) 566(151:1) = {0,1/151} -> (0,2) 567(152:1) = {0,1/152} -> (0,2) 568(153:1) = {0,1/153} -> (0,0) 569(154:1) = {0,1/154} -> (2,1) 570(155:1) = {0,1/155} -> (2,2) 571(156:1) = {0,1/156} -> (2,0) 572(157:1) = {0,1/157} -> (0,0) 573(158:1) = {0,1/158} -> (2,1) 574(159:1) = {0,1/159} -> (1,-2) 575(160:1) = {0,1/160} -> (1,0) 576(161:1) = {0,1/161} -> (0,-1) 577(162:1) = {0,1/162} -> (0,1) 578(163:1) = {0,1/163} -> (1,1) 579(164:1) = {0,1/164} -> (1,1) 580(165:1) = {0,1/165} -> (2,1) 581(166:1) = {0,1/166} -> (0,0) 582(167:1) = {0,1/167} -> (2,0) 583(168:1) = {0,1/168} -> (1,-1) 584(169:1) = {0,1/169} -> (1,1) 585(170:1) = {0,1/170} -> (1,-1) 586(171:1) = {0,1/171} -> (2,2) 587(172:1) = {0,1/172} -> (1,-2) 588(173:1) = {0,1/173} -> (1,-1) 589(174:1) = {0,1/174} -> (1,-1) 590(175:1) = {0,1/175} -> (1,0) 591(176:1) = {0,1/176} -> (1,-1) 592(177:1) = {0,1/177} -> (2,0) 593(178:1) = {0,1/178} -> (2,-2) 594(179:1) = {0,1/179} -> (1,-3) 595(180:1) = {0,1/180} -> (0,-2) 596(181:1) = {0,1/181} -> (0,0) 597(182:1) = {0,1/182} -> (1,-2) 598(183:1) = {0,1/183} -> (0,-1) 599(184:1) = {0,1/184} -> (1,-2) 600(185:1) = {0,1/185} -> (1,-2) 601(186:1) = {0,1/186} -> (0,-1) 602(187:1) = {0,1/187} -> (0,-1) 603(188:1) = {0,1/188} -> (0,-2) 604(189:1) = {0,1/189} -> (-2,0) 605(190:1) = {0,1/190} -> (-1,-1) 606(191:1) = {0,1/191} -> (-2,0) 607(192:1) = {0,1/192} -> (-2,0) 608(193:1) = {0,1/193} -> (0,2) 609(194:1) = {0,1/194} -> (0,0) 610(195:1) = {0,1/195} -> (0,0) 611(196:1) = {0,1/196} -> (0,-2) 612(197:1) = {0,1/197} -> (-2,0) 613(198:1) = {0,1/198} -> (-2,0) 614(199:1) = {0,1/199} -> (-1,1) 615(200:1) = {0,1/200} -> (-2,0) 616(201:1) = {0,1/201} -> (0,2) 617(202:1) = {0,1/202} -> (0,1) 618(203:1) = {0,1/203} -> (0,1) 619(204:1) = {0,1/204} -> (1,2) 620(205:1) = {0,1/205} -> (1,2) 621(206:1) = {0,1/206} -> (0,1) 622(207:1) = {0,1/207} -> (1,2) 623(208:1) = {0,1/208} -> (0,0) 624(209:1) = {0,1/209} -> (0,2) 625(210:1) = {0,1/210} -> (1,3) 626(211:1) = {0,1/211} -> (2,2) 627(212:1) = {0,1/212} -> (2,0) 628(213:1) = {0,1/213} -> (1,1) 629(214:1) = {0,1/214} -> (1,0) 630(215:1) = {0,1/215} -> (1,1) 631(216:1) = {0,1/216} -> (1,1) 632(217:1) = {0,1/217} -> (1,2) 633(218:1) = {0,1/218} -> (2,-2) 634(219:1) = {0,1/219} -> (1,1) 635(220:1) = {0,1/220} -> (1,-1) 636(221:1) = {0,1/221} -> (1,1) 637(222:1) = {0,1/222} -> (2,0) 638(223:1) = {0,1/223} -> (0,0) 639(224:1) = {0,1/224} -> (2,-1) 640(225:1) = {0,1/225} -> (1,-1) 641(226:1) = {0,1/226} -> (1,-1) 642(227:1) = {0,1/227} -> (0,-1) 643(228:1) = {0,1/228} -> (0,1) 644(229:1) = {0,1/229} -> (1,0) 645(230:1) = {0,1/230} -> (1,2) 646(231:1) = {0,1/231} -> (2,-1) 647(232:1) = {0,1/232} -> (0,0) 648(233:1) = {0,1/233} -> (2,0) 649(234:1) = {0,1/234} -> (2,-2) 650(235:1) = {0,1/235} -> (2,-1) 651(236:1) = {0,1/236} -> (0,0) 652(237:1) = {0,1/237} -> (0,-2) 653(238:1) = {0,1/238} -> (0,-2) 654(239:1) = {0,1/239} -> (0,0) 655(240:1) = {0,1/240} -> (2,-1) 656(241:1) = {0,1/241} -> (1,-4) 657(242:1) = {0,1/242} -> (-1,-2) 658(243:1) = {0,1/243} -> (0,-1) 659(244:1) = {0,1/244} -> (1,-2) 660(245:1) = {0,1/245} -> (0,0) 661(246:1) = {0,1/246} -> (0,-2) 662(247:1) = {0,1/247} -> (0,0) 663(248:1) = {0,1/248} -> (2,0) 664(249:1) = {0,1/249} -> (1,-1) 665(250:1) = {0,1/250} -> (1,-1) 666(251:1) = {0,1/251} -> (1,-3) 667(252:1) = {0,1/252} -> (-1,-2) 668(253:1) = {0,1/253} -> (0,-2) 669(254:1) = {0,1/254} -> (-1,-1) 670(255:1) = {0,1/255} -> (1,-3) 671(256:1) = {0,1/256} -> (0,-2) 672(257:1) = {0,1/257} -> (1,-1) 673(258:1) = {0,1/258} -> (0,-2) 674(259:1) = {0,1/259} -> (0,-2) 675(260:1) = {0,1/260} -> (0,-2) 676(261:1) = {0,1/261} -> (-2,-2) 677(262:1) = {0,1/262} -> (0,-1) 678(263:1) = {0,1/263} -> (0,-2) 679(264:1) = {0,1/264} -> (-1,-1) 680(265:1) = {0,1/265} -> (-1,0) 681(266:1) = {0,1/266} -> (0,-2) 682(267:1) = {0,1/267} -> (-1,-1) 683(268:1) = {0,1/268} -> (0,-2) 684(269:1) = {0,1/269} -> (-1,1) 685(270:1) = {0,1/270} -> (1,-1) 686(271:1) = {0,1/271} -> (1,1) 687(272:1) = {0,1/272} -> (0,-2) 688(273:1) = {0,1/273} -> (1,-1) 689(274:1) = {0,1/274} -> (0,0) 690(275:1) = {0,1/275} -> (1,-1) 691(276:1) = {0,1/276} -> (-1,-3) 692(277:1) = {0,1/277} -> (-1,-1) 693(278:1) = {0,1/278} -> (-1,-1) 694(279:1) = {0,1/279} -> (-1,-2) 695(280:1) = {0,1/280} -> (-1,-2) 696(281:1) = {0,1/281} -> (-1,-1) 697(282:1) = {0,1/282} -> (-1,0) 698(283:1) = {0,1/283} -> (-1,0) 699(284:1) = {0,1/284} -> (-1,1) 700(285:1) = {0,1/285} -> (0,0) 701(286:1) = {0,1/286} -> (1,0) 702(287:1) = {0,1/287} -> (-1,-1) 703(288:1) = {0,1/288} -> (0,0) 704(289:1) = {0,1/289} -> (1,0) 705(290:1) = {0,1/290} -> (1,-1) 706(291:1) = {0,1/291} -> (0,-2) 707(292:1) = {0,1/292} -> (0,0) 708(293:1) = {0,1/293} -> (2,0) 709(294:1) = {0,1/294} -> (2,-2) 710(295:1) = {0,1/295} -> (1,-1) 711(296:1) = {0,1/296} -> (1,-3) 712(297:1) = {0,1/297} -> (-1,-4) 713(298:1) = {0,1/298} -> (-2,-2) 714(299:1) = {0,1/299} -> (-1,-3) 715(300:1) = {0,1/300} -> (-1,-1) 716(301:1) = {0,1/301} -> (0,-2) 717(302:1) = {0,1/302} -> (0,-2) 718(303:1) = {0,1/303} -> (-2,-2) 719(304:1) = {0,1/304} -> (-1,-1) 720(305:1) = {0,1/305} -> (0,-2) 721(306:1) = {0,1/306} -> (0,0) 722(307:1) = {0,1/307} -> (-1,-2) 723(308:1) = {0,1/308} -> (-1,-1) 724(309:1) = {0,1/309} -> (-2,0) 725(310:1) = {0,1/310} -> (-2,0) 726(311:1) = {0,1/311} -> (-2,0) 727(312:1) = {0,1/312} -> (-2,0) 728(313:1) = {0,1/313} -> (0,2) 729(314:1) = {0,1/314} -> (0,0) 730(315:1) = {0,1/315} -> (-1,2) 731(316:1) = {0,1/316} -> (-1,1) 732(317:1) = {0,1/317} -> (-1,1) 733(318:1) = {0,1/318} -> (0,2) 734(319:1) = {0,1/319} -> (0,1) 735(320:1) = {0,1/320} -> (0,2) 736(321:1) = {0,1/321} -> (0,2) 737(322:1) = {0,1/322} -> (0,2) 738(323:1) = {0,1/323} -> (1,-1) 739(324:1) = {0,1/324} -> (0,0) 740(325:1) = {0,1/325} -> (2,0) 741(326:1) = {0,1/326} -> (0,0) 742(327:1) = {0,1/327} -> (0,-2) 743(328:1) = {0,1/328} -> (0,-1) 744(329:1) = {0,1/329} -> (0,-2) 745(330:1) = {0,1/330} -> (-2,-2) 746(331:1) = {0,1/331} -> (-1,1) 747(332:1) = {0,1/332} -> (-1,1) 748(333:1) = {0,1/333} -> (-1,-1) 749(334:1) = {0,1/334} -> (-1,1) 750(335:1) = {0,1/335} -> (0,1) 751(336:1) = {0,1/336} -> (0,0) 752(337:1) = {0,1/337} -> (0,-1) 753(338:1) = {0,1/338} -> (0,1) 754(339:1) = {0,1/339} -> (0,-1) 755(340:1) = {0,1/340} -> (0,1) 756(341:1) = {0,1/341} -> (-2,-1) 757(342:1) = {0,1/342} -> (-2,-1) 758(343:1) = {0,1/343} -> (-1,3) 759(344:1) = {0,1/344} -> (0,2) 760(345:1) = {0,1/345} -> (-1,1) 761(346:1) = {0,1/346} -> (1,1) 762(347:1) = {0,1/347} -> (-1,1) 763(348:1) = {0,1/348} -> (0,1) 764(349:1) = {0,1/349} -> (1,0) 765(350:1) = {0,1/350} -> (0,0) 766(351:1) = {0,1/351} -> (-1,-1) 767(352:1) = {0,1/352} -> (0,-1) 768(353:1) = {0,1/353} -> (0,-1) 769(354:1) = {0,1/354} -> (-1,0) 770(355:1) = {0,1/355} -> (-1,0) 771(356:1) = {0,1/356} -> (-2,1) 772(357:1) = {0,1/357} -> (-2,1) 773(358:1) = {0,1/358} -> (-1,3) 774(359:1) = {0,1/359} -> (0,2) 775(360:1) = {0,1/360} -> (0,1) 776(361:1) = {0,1/361} -> (1,1) 777(362:1) = {0,1/362} -> (1,-1) 778(363:1) = {0,1/363} -> (0,0) 779(364:1) = {0,1/364} -> (-1,1) 780(365:1) = {0,1/365} -> (1,1) 781(366:1) = {0,1/366} -> (0,-1) 782(367:1) = {0,1/367} -> (0,0) 783(368:1) = {0,1/368} -> (0,1) 784(369:1) = {0,1/369} -> (-1,0) 785(370:1) = {0,1/370} -> (0,1) 786(371:1) = {0,1/371} -> (1,1) 787(372:1) = {0,1/372} -> (0,-1) 788(373:1) = {0,1/373} -> (1,1) 789(374:1) = {0,1/374} -> (0,0) 790(375:1) = {0,1/375} -> (-1,-1) 791(376:1) = {0,1/376} -> (0,2) 792(377:1) = {0,1/377} -> (0,1) 793(378:1) = {0,1/378} -> (1,0) 794(379:1) = {0,1/379} -> (0,0) 795(380:1) = {0,1/380} -> (-1,1) 796(381:1) = {0,1/381} -> (0,-1) 797(382:1) = {0,1/382} -> (1,1) 798(383:1) = {0,1/383} -> (0,0) 799(384:1) = {0,1/384} -> (2,0) 800(385:1) = {0,1/385} -> (0,0) 801(386:1) = {0,1/386} -> (0,-2) 802(387:1) = {0,1/387} -> (0,0) 803(388:1) = {0,1/388} -> (0,0) 804(1:0) = {oo,0} -> (0,0) 805 806Computation of further modular symbols 807 808Base point? (enter 0 for 0, or 1 for oo) Values of {oo,r} for rational r: 809Enter numerator and denominator of r: {oo,355/113} -> (3,1) 810Enter numerator and denominator of r: 811All modular symbols with bounded denominator 812 813Enter maximum denominator (0 for none): {oo,0} -> (0,0) 814{oo,1/2} -> (0,0) 815{oo,1/3} -> (0,2) 816{oo,2/3} -> (0,-2) 817{oo,1/4} -> (0,0) 818{oo,3/4} -> (0,0) 819{oo,1/5} -> (2,0) 820{oo,2/5} -> (-2,0) 821{oo,3/5} -> (-2,0) 822{oo,4/5} -> (2,0) 823{oo,1/6} -> (0,0) 824{oo,5/6} -> (0,0) 825{oo,1/7} -> (1,-1) 826{oo,2/7} -> (1,1) 827{oo,3/7} -> (-2,0) 828{oo,4/7} -> (-2,0) 829{oo,5/7} -> (1,-1) 830{oo,6/7} -> (1,1) 831