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Generator points of E(Q)/2E(Q) on E : y^2=x(x+1)(x+n) (2<=p<=1000) (using Cremona's mwrank.exe) This curve is birationally equivalent to Concordant number equation; x^2 + y^2 = z^2 x^2 + ny^2 = w^2 Ranks of some of the curve are not completely determined yet. ("x" in front of "n") n |rank| (xp, yp, zp), height -----+---+---------------------------------------------------------------------- 2 | 0 | 3 | 0 | 4 | 0 | 5 | 0 | 6 | 0 | 7 | 1 | (1, -4, 1), 0.9931 8 | 0 | 9 | 0 | 10 | 1 | (8, 36, 1), 1.0326 11 | 1 | (2, -15, 8), 1.8775 12 | 0 | 13 | 0 | 14 | 0 | 15 | 0 | 16 | 0 | 17 | 1 | (1, -6, 1), 1.0181 18 | 0 | 19 | 0 | 20 | 1 | (18, 114, 1), 0.8612 21 | 0 | 22 | 1 | (2, 12, 1), 1.1226 23 | 1 | (49, -420, 1), 3.6909 24 | 1 | (8, 48, 1), 1.6542 25 | 0 | 26 | 0 | 27 | 1 | (18, -117, 8), 0.7802 28 | 0 | 29 | 0 | 30 | 1 | (24, 180, 1), 2.595 31 | 2 | (1, -8, 1), 1.631 | | (242, -1925, 8), 4.2568 32 | 0 | 33 | 0 | 34 | 1 | (32, 264, 1), 1.6397 35 | 0 | 36 | 0 | 37 | 0 | 38 | 0 | 39 | 0 | 40 | 0 | 41 | 1 | (4, -30, 1), 1.7197 42 | 1 | (8, 60, 1), 2.517 43 | 0 | 44 | 0 | 45 | 1 | (3, 24, 1), 0.9319 46 | 0 | 47 | 1 | (2023, 15912, 343), 6.293 48 | 0 | 49 | 1 | (49, -490, 1), 1.4926 50 | 1 | (90, 735, 8), 1.3417 51 | 0 | 52 | 2 | (2, 18, 1), 0.9623 | | (16, -136, 1), 1.2237 53 | 1 | (1734, 14365, 216), 5.2431 54 | 0 | 55 | 0 | 56 | 0 | 57 | 1 | (27, 252, 1), 1.1457 58 | 1 | (56, 1140, 343), 3.6004 59 | 1 | (50, -435, 8), 2.5593 60 | 1 | (48, 504, 1), 2.9053 61 | 1 | (2, -35, 8), 2.7058 62 | 0 | 63 | 0 | 64 | 0 | 65 | 0 | 66 | 0 | 67 | 0 | 68 | 1 | (126, 2010, 343), 3.129 69 | 0 | 70 | 0 | 71 | 2 | (1, -12, 1), 2.0104 | | (1682, -28275, 8), 6.0184 72 | 1 | (3, 30, 1), 1.8186 73 | 0 | 74 | 2 | (72, 876, 1), 2.014 | | (20172, -194545, 1728), 6.0764 75 | 0 | 76 | 1 | (4, -40, 1), 0.8666 77 | 1 | (21, 280, 27), 2.8843 78 | 0 | 79 | 2 | (49, -560, 1), 3.8664 | | (18, -195, 8), 2.6971 80 | 0 | 81 | 0 | 82 | 1 | (224, 3240, 343), 3.7063 83 | 1 | (228980, 2461107, 8000), 7.9709 84 | 0 | 85 | 1 | (20, 210, 1), 1.2824 86 | 1 | (4, -153, 64), 3.6004 87 | 0 | 88 | 0 | 89 | 0 | 90 | 1 | (8, 84, 1), 2.7795 91 | 0 | 92 | 1 | (12, 208, 27), 2.5914 93 | 1 | (675, 18720, 1), 5.3089 94 | 1 | (2, 24, 1), 1.7417 95 | 0 | 96 | 0 | 97 | 1 | (1, -14, 1), 1.8092 98 | 0 | 99 | 1 | (48, 588, 1), 1.4725 100 | 1 | (98, 1386, 1), 1.6385 101 | 1 | (2, -45, 8), 2.5504 102 | 1 | (480, 5544, 125), 5.1957 103 | 0 | 104 | 1 | (288, 5712, 1), 4.712 105 | 1 | (3, 36, 1), 1.2137 106 | 0 | 107 | 1 | (98, -1113, 8), 2.8011 108 | 0 | 109 | 0 | 110 | 1 | (4410, 113505, 8), 6.9446 111 | 1 | (3, -100, 27), 3.4297 112 | 1 | (36, -444, 1), 0.8744 113 | 1 | (49, -630, 1), 3.5924 114 | 1 | (224, 3816, 343), 6.0609 115 | 1 | (5, 60, 1), 1.3187 116 | 0 | 117 | 0 | 118 | 0 | 119 | 2 | (7, 84, 1), 1.8509 | | (1681, -71340, 1), 7.0991 120 | 1 | (8, 96, 1), 2.193 121 | 1 | (242, -3025, 8), 2.1536 122 | 1 | (504, 7260, 343), 3.8301 x 123 | 0-2 | 124 | 1 | (100, 1435, 64), 3.6192 125 | 0 | 126 | 1 | (24, 300, 1), 0.5185 127 | 1 | (1, -16, 1), 2.2822 128 | 0 | 129 | 0 | 130 | 2 | (128, 2064, 1), 2.2842 | | (250, 3225, 8), 2.162 131 | 0 | 132 | 0 | 133 | 1 | (175, 3080, 1), 2.4637 134 | 1 | (18, 228, 1), 1.8655 135 | 0 | 136 | 0 | 137 | 1 | (16, -204, 1), 2.2095 138 | 1 | (4022200, 56769180, 1685159), 12.0671 139 | 0 | 140 | 1 | (90, 1155, 8), 4.0322 141 | 0 | 142 | 1 | (242, 4752, 1), 4.7235 143 | 0 | 144 | 1 | (3, 42, 1), 2.1155 145 | 0 | 146 | 1 | (41772, -556075, 1728), 6.3644 147 | 0 | 148 | 1 | (2, 30, 1), 1.4255 149 | 1 | (188538, 2739295, 74088), 8.5769 150 | 1 | (10, 165, 8), 2.9254 151 | 2 | (49, -700, 1), 2.3954 | | (1682, -32045, 8), 5.6812 152 | 1 | (12600, 175440, 343), 7.0098 153 | 1 | (75, 1140, 1), 1.3275 154 | 1 | (8, 108, 1), 1.8827 155 | 1 | (125, 2100, 1), 2.9424 156 | 0 | 157 | 1 | (18, -273, 8), 3.0013 158 | 0 | 159 | 0 | 160 | 0 | 161 | 1 | (1, -18, 1), 2.0476 162 | 1 | (27, 378, 1), 0.948 163 | 0 | 164 | 1 | (162, 2934, 1), 1.8758 165 | 1 | (80, 1260, 1), 3.9223 166 | 0 | 167 | 1 | (3703, -51612, 343), 7.0402 x 168 | 0-2 | 169 | 0 | 170 | 1 | (480, 6760, 27), 2.2363 171 | 1 | (162, -2295, 8), 1.8956 172 | 0 | 173 | 0 | 174 | 1 | (120, 2268, 125), 5.094 175 | 1 | (50, -725, 8), 1.3693 176 | 1 | (1444, -58140, 1), 4.7116 177 | 0 | 178 | 1 | (896, 14160, 343), 3.9504 179 | 1 | (61355800, 1011947355, 681472), 11.543 180 | 0 | 181 | 1 | (242, -3575, 8), 4.6647 182 | 1 | (2520, 36708, 125), 5.7465 183 | 1 | (1734, -25415, 216), 5.6976 184 | 0 | 185 | 1 | (45, 690, 1), 1.2782 186 | 0 | 187 | 1 | (308, 6138, 343), 3.2218 188 | 1 | (2888, 43605, 512), 6.0082 189 | 1 | (3, 48, 1), 1.4501 190 | 0 | 191 | 0 | 192 | 1 | (8, 120, 1), 1.5077 193 | 1 | (49, -770, 1), 3.7187 x 194 | 0-2 | 195 | 1 | (48, 756, 1), 3.8513 196 | 1 | (64, -1040, 1), 1.8202 197 | 0 | 198 | 1 | (480, 7656, 125), 5.2026 199 | 1 | (1, -20, 1), 2.4945 200 | 1 | (90, 1365, 8), 3.7607 201 | 0 | 202 | 1 | (200, 4020, 1), 2.4957 203 | 0 | 204 | 0 | 205 | 0 | 206 | 1 | (100, -1845, 64), 3.8533 207 | 0 | 208 | 0 | 209 | 1 | (25, -390, 1), 2.038 210 | 1 | (10, 195, 8), 3.4854 211 | 1 | (2, -65, 8), 3.315 212 | 1 | (1134, 18990, 343), 3.4873 213 | 0 | 214 | 1 | (2, 36, 1), 2.1131 215 | 0 | 216 | 0 | 217 | 1 | (7, 112, 1), 1.3953 218 | 1 | (12600, 203820, 343), 7.8029 219 | 2 | (108, 1962, 1), 2.1154 | | (5469870, -112587517, 27000), 9.9722 220 | 0 | 221 | 0 | 222 | 0 | 223 | 0 | 224 | 1 | (288, 6528, 1), 4.086 225 | 0 | 226 | 0 | 227 | 1 | (30511312, 527008383, 8998912), 11.4867 228 | 0 | 229 | 0 | 230 | 1 | (4410, 123375, 8), 6.9844 231 | 0 | 232 | 1 | (32, 528, 1), 1.4034 233 | 1 | (82810, 1480479, 1000), 7.7463 234 | 1 | (8, 132, 1), 3.1458 235 | 0 | 236 | 1 | (73964, 1274280, 1331), 7.8462 237 | 1 | (14553, 239400, 1331), 7.1858 238 | 0 | 239 | 2 | (49, -840, 1), 4.1213 | | (4, 255, 64), 4.1092 240 | 1 | (3, 54, 1), 2.6153 241 | 2 | (1681, -73718, 1), 6.7674 | | (1682, -35815, 8), 6.1413 242 | 0 | 243 | 0 | 244 | 1 | (242, 5346, 1), 2.0666 245 | 0 | 246 | 1 | (2400, 123480, 1), 4.9656 247 | 1 | (81, -1476, 1), 2.6184 248 | 0 | 249 | 1 | (33, 3348, 1331), 4.2545 250 | 1 | (1400, 24900, 343), 1.9153 251 | 1 | (242, -4125, 8), 3.1544 252 | 1 | (48, 840, 1), 2.9517 253 | 1 | (55, 1584, 125), 3.0888 254 | 1 | (98, 1848, 1), 3.4214 255 | 1 | (960, 33480, 1), 5.5722 256 | 0 | 257 | 1 | (3703, 63342, 343), 6.8565 258 | 1 | (22400, 405840, 343), 8.2259 259 | 1 | (343, 8428, 1), 2.7869 260 | 1 | (750, 12950, 27), 1.8916 261 | 1 | (18, -351, 8), 2.1328 262 | 0 | 263 | 1 | (170126719, -3694334820, 133432831), 15.1394 x 264 | 0-2 | 265 | 1 | (5, 90, 1), 1.3196 266 | 0 | 267 | 1 | (132, 7182, 1331), 4.6181 268 | 1 | (292820, 5179889, 8000), 8.0634 269 | 0 | 270 | 1 | (24, 420, 1), 2.8121 271 | 0 | 272 | 0 | 273 | 0 | 274 | 0 | 275 | 0 | 276 | 1 | (54, 990, 1), 0.7487 277 | 0 | 278 | 0 | 279 | 0 | 280 | 2 | (8, 144, 1), 1.4263 | | (10, 225, 8), 2.5223 281 | 1 | (2, -75, 8), 3.4562 282 | 1 | (9800, 984060, 1), 8.8504 283 | 0 | 284 | 0 | x 285 | 0-2 | 286 | 1 | (11, 198, 1), 1.9593 287 | 1 | (1, -24, 1), 2.6687 288 | 0 | 289 | 1 | (49, -910, 1), 3.827 290 | 1 | (288, 6936, 1), 2.6695 291 | 1 | (12, 2465, 1728), 5.3198 292 | 2 | (2, 42, 1), 1.736 | | (324, 6111, 64), 3.8977 293 | 1 | (2160123909696, 39145476606245, 139314069504), 18.8377 294 | 1 | (280, 5796, 125), 4.5938 295 | 0 | 296 | 0 | 297 | 2 | (3, 60, 1), 1.3047 | | (36, -666, 1), 1.0672 298 | 1 | (2631032, 52004700, 29791), 8.6012 299 | 0 | 300 | 0 | 301 | 0 | 302 | 1 | (5202, 385968, 1), 6.3431 303 | 0 | 304 | 1 | (100, -2020, 1), 1.3267 305 | 0 | 306 | 0 | 307 | 1 | (4, -289, 64), 4.2339 308 | 0 | 309 | 1 | (27, 504, 1), 1.9688 310 | 0 | 311 | 0 | x 312 | 0-2 | 313 | 1 | (324, -8190, 1), 4.6768 x 314 | 0-2 | 315 | 1 | (48, 924, 1), 3.7076 316 | 1 | (4, -80, 1), 1.8728 317 | 0 | 318 | 1 | (12269400, 407788524, 15625), 12.2926 319 | 1 | (98, -1855, 8), 3.199 320 | 0 | 321 | 1 | (3, 170, 27), 3.6103 322 | 0 | 323 | 1 | (13600, 451605, 32768), 5.9495 324 | 0 | 325 | 1 | (80, 1620, 1), 1.4735 326 | 1 | (196, -4095, 64), 3.5903 327 | 0 | 328 | 0 | 329 | 0 | 330 | 1 | (8, 156, 1), 3.2849 331 | 1 | (242, -4675, 8), 4.8522 332 | 0 | 333 | 1 | (825, 24360, 1331), 6.3052 334 | 0 | 335 | 0 | 336 | 0 | 337 | 1 | (1, -26, 1), 2.3988 338 | 2 | (1950, 38285, 216), 5.3494 | | (99372, -1993355, 1728), 4.1617 339 | 2 | (12, 234, 1), 1.3391 | | (22326, -471835, 216), 6.7287 340 | 1 | (338, 8814, 1), 2.2262 341 | 1 | (1682, -39585, 8), 6.1938 342 | 0 | 343 | 1 | (49, -980, 1), 1.628 344 | 1 | (504, 12144, 343), 6.0173 345 | 0 | 346 | 0 | 347 | 1 | (338, -6747, 8), 3.291 348 | 1 | (7979571600, 156975076440, 517781627), 16.0714 349 | 1 | (50, -1015, 8), 3.2645 350 | 1 | (90, 1785, 8), 3.9754 351 | 1 | (5043, -117260, 27), 6.1664 352 | 0 | 353 | 1 | (7, 930, 343), 6.1366 354 | 1 | (106624, 2113776, 4913), 9.4333 355 | 1 | (2645, 144900, 1), 6.2097 356 | 0 | 357 | 1 | (1680, 33516, 125), 5.5797 358 | 2 | (50, 1020, 1), 2.2817 | | (42436, -1357025, 64), 7.9606 359 | 1 | (1252588558249, -26945866405500, 12633057289), 20.2122 360 | 2 | (224, 6768, 343), 5.922 | | (3, 66, 1), 2.5225 361 | 1 | (1444, -61370, 1), 3.5798 362 | 1 | (98998200, 3844411740, 313046839), 12.7628 x 363 | 0-2 | 364 | 1 | (336, 6776, 27), 1.9891 365 | 0 | x 366 | 0-2 | 367 | 2 | (1681, -76096, 1), 7.1278 | | (3042, -83265, 8), 5.4466 368 | 0 | 369 | 0 | x 370 | 1-3 | (40, 820, 1), 1.4601 371 | 1 | (6, -703, 216), 4.7425 372 | 1 | (6, 126, 1), 1.1857 373 | 0 | 374 | 1 | (1056, 21736, 27), 5.11 375 | 1 | (75, -1700, 27), 1.633 376 | 0 | 377 | 1 | (117, 6110, 729), 3.4951 378 | 0 | 379 | 0 | 380 | 1 | (222750, 4565475, 10648), 9.4972 381 | 0 | 382 | 1 | (2, 48, 1), 2.38 383 | 1 | (43683381892129, 905670890645760, 3975097468321), 22.8158 384 | 1 | (8, 168, 1), 1.7876 385 | 1 | (63, 1344, 1), 1.363 386 | 0 | 387 | 2 | (192, 4632, 1), 2.1066 | | (588, 22967, 1728), 5.3884 388 | 1 | (2366, 50310, 343), 3.6885 389 | 1 | (14739316548, 1215305439335, 2299968), 16.2573 x 390 | 0-2 | 391 | 2 | (74263, -1834636, 343), 9.2038 | | (18, -429, 8), 3.4168 392 | 0 | 393 | 1 | (825, 26460, 1331), 4.3678 394 | 1 | (392, 11004, 1), 2.817 395 | 0 | 396 | 0 | 397 | 0 | 398 | 0 | 399 | 1 | (336, 7084, 27), 5.1159 400 | 0 | 401 | 2 | (49, -1050, 1), 2.3127 | | (4, -90, 1), 2.2686 402 | 1 | (22400, 487920, 343), 8.3425 403 | 1 | (25675, 2316860, 493039), 8.0187 404 | 0 | 405 | 0 | 406 | 1 | (280, 6804, 125), 3.0314 407 | 1 | (147, 3248, 27), 3.7466 408 | 1 | (675, 22230, 1), 6.0824 409 | 1 | (16, -340, 1), 2.599 x 410 | 1-3 | (810, 18405, 8), 2.6734 411 | 1 | (327822894, -7884045595, 2000376), 12.4622 412 | 1 | (484, 10549, 64), 4.0141 413 | 1 | (2882775, 61565840, 185193), 10.4264 414 | 0 | 415 | 0 | 416 | 0 | 417 | 1 | (12, 442, 27), 4.0205 418 | 0 | 419 | 0 | 420 | 1 | (80, 1800, 1), 3.4452 421 | 1 | (242, -5225, 8), 4.9322 422 | 0 | 423 | 0 | 424 | 1 | (224, 7344, 343), 4.9027 425 | 0 | 426 | 0 | 427 | 1 | (567, 17892, 1), 3.0296 428 | 1 | (152100, 27412424, 11390625), 11.1162 429 | 2 | (3, 72, 1), 2.1833 | | (1925, 43560, 343), 5.6122 430 | 1 | (10, 220, 1), 1.4784 431 | 0 | 432 | 0 | 433 | 1 | (7, -1030, 343), 6.2386 434 | 1 | (288, 7752, 1), 5.5591 435 | 0 | 436 | 1 | (144, -3480, 1), 2.1849 437 | 0 | 438 | 2 | (21250, 495900, 4913), 7.3858 | | (75, 1710, 1), 2.8898 439 | 0 | 440 | 2 | (504, 13728, 343), 6.1333 | | (90, 1995, 8), 4.4684 441 | 0 | 442 | 2 | (8, 180, 1), 2.3069 | | (78, 3185, 216), 3.4743 443 | 0 | 444 | 1 | (679536, 18680904, 2197), 9.8552 445 | 0 | 446 | 1 | (1097531629700, 24547681110855, 25620195392), 18.3007 447 | 0 | 448 | 0 | 449 | 1 | (1, -30, 1), 2.5362 450 | 1 | (10, 285, 8), 3.4434 451 | 2 | (44, 990, 1), 1.0819 | | (79202, -8058505, 8), 9.3897 452 | 2 | (98, 2310, 1), 3.0345 | | (1024, -39360, 1), 4.4693 453 | 0 | 454 | 1 | (1671554, 39730812, 389017), 11.2371 455 | 1 | (4032, 94024, 729), 7.0545 456 | 0 | 457 | 0 | x 458 | 0-2 | 459 | 2 | (48, 1092, 1), 3.7283 | | (450, -10305, 8), 1.9452 460 | 0 | 461 | 1 | (81862, 1883985, 10648), 9.132 462 | 2 | (24, 540, 1), 3.364 | | (224, 5880, 1), 4.3952 463 | 1 | (49, -1120, 1), 4.3123 464 | 0 | 465 | 0 | 466 | 0 | 467 | 1 | (8399356871002552, 206338949107935813, 63655021706752), 23.7819 468 | 0 | 469 | 0 | 470 | 0 | 471 | 1 | (25281, 576640, 729), 7.707 472 | 0 | 473 | 1 | (462275, 10537164, 15625), 6.5385 474 | 0 | 475 | 1 | (5, 120, 1), 1.5159 476 | 0 | 477 | 0 | 478 | 0 | 479 | 1 | (16337, 409200, 4913), 8.8227 x 480 | 0-2 | 481 | 1 | (9, -210, 1), 2.3345 482 | 1 | (142572, -3407885, 1728), 6.882 483 | 1 | (274560000, 6629565600, 2924207), 14.4638 484 | 1 | (2, 54, 1), 1.9702 485 | 1 | (7920, 189660, 1331), 7.6762 486 | 1 | (324, -7857, 64), 1.4814 487 | 1 | (131383, -3880388, 343), 9.7038 488 | 1 | (187464650051296800, 4393367167985586960, 19432347863964049), 27.8298 489 | 2 | (243, 6588, 1), 2.1444 | | (150, 5185, 216), 4.7531 490 | 0 | 491 | 1 | (4086742, 121031265, 10648), 11.5387 492 | 1 | (211200, 5404320, 1331), 9.0174 493 | 0 | 494 | 2 | (26, 663, 8), 2.1979 | | (42436, -1444575, 64), 7.9894 495 | 0 | 496 | 1 | (4, -100, 1), 1.3791 497 | 2 | (7, 168, 1), 1.3929 | | (1681, -78474, 1), 6.7944 498 | 2 | (13600, 355080, 4913), 8.7931 | | (27, 630, 1), 2.8254 499 | 0 | 500 | 1 | (3150, 74850, 343), 1.6294 501 | 0 | 502 | 1 | (10544681618, 253694856492, 1439069689), 16.9351 503 | 1 | (654818689, -18447468780, 374805361), 16.1913 504 | 2 | (8, 192, 1), 2.7671 | | (3, 78, 1), 2.675 505 | 1 | (125, 3150, 1), 1.7276 506 | 0 | 507 | 1 | (39, 1144, 27), 2.0732 508 | 1 | (324, -9360, 1), 3.4094 509 | 0 | x 510 | 0-2 | 511 | 2 | (1, -32, 1), 2.9448 | | (162, -3825, 8), 3.3766 512 | 1 | (192, 4672, 27), 0.7032 513 | 0 | 514 | 1 | (512, 16416, 1), 2.9452 515 | 0 | 516 | 1 | (5046, 376362, 1), 4.8153 517 | 1 | (11, 264, 1), 1.5009 518 | 2 | (350, 11220, 343), 5.647 | | (175, 4620, 1), 3.3759 519 | 1 | (825846, -54427555, 216), 10.0559 520 | 1 | (480, 11440, 27), 4.5088 521 | 2 | (242, -5775, 8), 5.0051 | | (12, -494, 27), 4.1295 522 | 1 | (12600, 301860, 343), 6.9769 523 | 1 | (627522350, -15039207469, 42875000), 14.1014 524 | 0 | 525 | 2 | (351, 21672, 2197), 7.0529 | | (80, 1980, 1), 3.796 526 | 0 | 527 | 2 | (17, 408, 1), 2.377 | | (833, 50232, 4913), 8.4891 528 | 0 | 529 | 1 | (49, -1190, 1), 4.0071 x 530 | 0-2 | 531 | 1 | (1452, 49555, 1728), 5.467 532 | 0 | 533 | 1 | (468, 17290, 729), 3.9254 534 | 0 | 535 | 1 | (8836, -230065, 64), 5.9097 536 | 0 | 537 | 1 | (1617, 50652, 1331), 4.4483 538 | 1 | (11766703288, 289081695660, 214921799), 14.0728 539 | 0 | 540 | 1 | (48, 1176, 1), 1.14 541 | 1 | (7942, 282815, 10648), 8.6594 542 | 0 | 543 | 0 | 544 | 0 | 545 | 1 | (2523, 64090, 27), 5.2032 546 | 1 | (210, 11781, 1000), 6.2777 547 | 1 | (18, -507, 8), 3.572 548 | 1 | (746535762, 43153032390, 3803721481), 13.8815 549 | 0 | 550 | 1 | (10, 315, 8), 2.4404 551 | 1 | (2, -105, 8), 3.3862 552 | 1 | (120, 4032, 125), 4.9527 553 | 1 | (525, 12880, 27), 2.8384 554 | 1 | (1224, 64524, 4913), 8.5294 555 | 1 | (2496, 80712, 2197), 7.93 556 | 2 | (1444, -64600, 1), 5.8532 | | (36, -888, 1), 2.0416 557 | 0 | 558 | 1 | (13518120, 333916044, 857375), 12.065 559 | 0 | 560 | 0 | 561 | 0 | 562 | 2 | (32, 792, 1), 2.385 | | (114244, -5536271, 64), 8.9063 563 | 1 | (2358471200, 61989127437, 512000000), 14.2183 564 | 0 | 565 | 1 | (118580, 40930890, 1), 8.4053 566 | 1 | (2638972, 69416691, 21952), 9.5979 567 | 0 | 568 | 1 | (9800, 997920, 1), 5.9657 569 | 0 | 570 | 2 | (8, 204, 1), 3.512 | | (30250, 1995675, 8), 8.851 571 | 1 | (1682, -47125, 8), 6.2875 572 | 1 | (111445488, 2802683400, 2352637), 12.5938 x 573 | 0-2 | 574 | 0 | 575 | 1 | (100, 3075, 64), 2.725 576 | 0 | 577 | 1 | (1, -34, 1), 2.6566 x 578 | 0-2 | 579 | 0 | 580 | 1 | (578, 19686, 1), 2.4837 581 | 1 | (50, -1305, 8), 3.4823 582 | 0 | 583 | 1 | (44376, 1230445, 13824), 7.6513 584 | 0 | 585 | 1 | (3, 84, 1), 1.7032 586 | 1 | (285628, 7254325, 21952), 8.6401 587 | 1 | (578, -14943, 8), 3.5155 588 | 1 | (8400, 252280, 27), 6.0617 589 | 1 | (855, 22344, 125), 2.924 590 | 2 | (18, 456, 1), 2.3911 | | (990, 82455, 10648), 8.5872 591 | 1 | (18723, -671500, 27), 7.7372 592 | 1 | (196, -5516, 1), 1.6325 593 | 0 | 594 | 1 | (288, 8568, 1), 4.146 595 | 0 | 596 | 1 | (16, -408, 1), 2.0502 597 | 0 | 598 | 2 | (2, 60, 1), 2.5888 | | (1950, 50635, 216), 6.2249 599 | 2 | (49, -1260, 1), 4.393 | | (1734, -45305, 216), 6.1818 x 600 | 0-2 | 601 | 1 | (4, -110, 1), 2.4489 602 | 1 | (1224, 67260, 4913), 8.5705 603 | 1 | (300, 9030, 1), 2.3149 604 | 0 | 605 | 1 | (99, 2640, 1), 2.6905 606 | 1 | (1926600, 57477420, 6859), 8.5363 607 | 0 | 608 | 1 | (1562400, 105800640, 10218313), 12.2638 609 | 1 | (21, 784, 27), 2.8356 610 | 1 | (1210, 33495, 8), 2.8528 611 | 1 | (150, -5795, 216), 4.8613 612 | 1 | (12, 312, 1), 1.2468 613 | 1 | (411892, 11839225, 140608), 10.0682 614 | 0 | 615 | 1 | (1680, 45900, 343), 6.2638 616 | 0 | 617 | 0 | 618 | 1 | (88742489706470600, 2571422904557973180, 407478805289353), 27.8293 619 | 0 | 620 | 1 | (990, 84525, 10648), 8.6119 621 | 0 | 622 | 1 | (242, 7128, 1), 3.8357 x 623 | 0-2 | 624 | 0 | 625 | 0 | 626 | 0 | 627 | 3 | (48, 1260, 1), 4.193 | | (1232, 34980, 343), 6.3382 | | (2028, 69173, 1728), 5.5093 628 | 1 | (4046, 106590, 343), 3.8547 629 | 2 | (306, 8007, 8), 2.0569 | | (74577954, 2227160395, 287496), 11.7371 630 | 1 | (120, 3300, 1), 3.3475 631 | 2 | (1681, -80852, 1), 7.1537 | | (242, -6325, 8), 5.0722 632 | 1 | (12600, 330240, 343), 7.4469 633 | 1 | (114075, 38635740, 1), 7.8721 634 | 1 | (12965384, 339918468, 389017), 9.5526 635 | 0 | 636 | 0 | 637 | 2 | (63, 1680, 1), 2.756 | | (98, -2597, 8), 1.5264 638 | 1 | (6600, 196460, 27), 6.4946 639 | 1 | (147, -4060, 27), 3.9428 640 | 1 | (8, 216, 1), 0.9027 641 | 0 | 642 | 1 | (38883323287888352, 1312404263329091400, 29975603699447119), 28.3856 643 | 0 | 644 | 0 | 645 | 0 | 646 | 1 | (102, 2924, 27), 2.2259 647 | 2 | (1, -36, 1), 3.0582 | | (22472, 597363, 512), 7.4438 648 | 1 | (675, 24570, 1), 4.618 649 | 1 | (1925, 53460, 343), 3.2483 650 | 2 | (648, 23364, 1), 3.0586 | | (90, 2415, 8), 4.2238 651 | 0 | 652 | 0 | 653 | 0 | 654 | 1 | (52920, 1739052, 125), 8.6072 655 | 1 | (40362, -1740185, 74088), 8.4733 656 | 1 | (44, -6300, 1331), 5.8549 657 | 1 | (81, -2214, 1), 1.4257 658 | 1 | (13600, 407880, 4913), 7.8224 659 | 0 | 660 | 1 | (10, 345, 8), 4.0283 661 | 1 | (2, -115, 8), 3.8786 662 | 0 | 663 | 1 | (141337277324880, 4444067084263092, 438110169875), 22.1052 664 | 1 | (4, -425, 64), 4.6184 665 | 0 | 666 | 1 | (6, 168, 1), 1.6818 667 | 0 | 668 | 1 | (20, 1392, 125), 4.1271 669 | 1 | (1615221, 45907344, 12167), 10.436 670 | 0 | 671 | 1 | (7942, -314925, 10648), 8.7638 672 | 1 | (3, 90, 1), 3.081 673 | 1 | (49, -1330, 1), 4.084 x 674 | 0-2 | 675 | 0 | 676 | 0 | 677 | 1 | (190962, 5164523, 5832), 8.4141 678 | 1 | (29421499704781416960, 796296611995193076768, 1429207463467523375), 31.2989 679 | 3 | (7, 196, 1), 2.5659 | | (57121, -13732940, 1), 10.6089 | | (11236, -329395, 64), 6.018 680 | 1 | (288, 8976, 1), 4.9421 681 | 1 | (294, 10115, 216), 4.8375 682 | 0 | 683 | 0 | 684 | 1 | (9408, 945168, 1), 7.6475 685 | 1 | (3520, 108360, 1331), 6.5014 686 | 1 | (484, -13563, 64), 4.2295 687 | 0 | 688 | 1 | (60, -11908, 3375), 4.5836 689 | 0 | 690 | 1 | (120, 3500, 27), 4.794 691 | 1 | (21142, -682465, 10648), 8.9282 692 | 1 | (31352850, 917323230, 7189057), 10.1337 693 | 1 | (1680, 46284, 125), 5.5658 694 | 1 | (98, 2772, 1), 2.5685 695 | 0 | 696 | 1 | (480, 14256, 125), 5.3405 697 | 0 | 698 | 1 | (4536, 125460, 343), 4.4118 x 699 | 0-2 | 700 | 0 | 701 | 1 | (1682, -50895, 8), 5.9276 702 | 1 | (24, 660, 1), 3.1503 703 | 1 | (5, -676, 125), 4.876 704 | 0 | 705 | 1 | (105, 5760, 343), 3.7975 706 | 0 | 707 | 0 | 708 | 1 | (4374, 311850, 1), 6.0278 709 | 0 | 710 | 1 | (3216510, 102496545, 10648), 11.4043 711 | 1 | (1521, 49400, 729), 6.8175 712 | 1 | (22400, 629280, 343), 6.718 713 | 0 | 714 | 1 | (8, 228, 1), 3.6074 715 | 1 | (55, 1540, 1), 1.5405 716 | 2 | (4, -120, 1), 2.2368 | | (19044, 528632, 729), 6.8803 717 | 1 | (47775, 1328040, 2197), 8.2602 718 | 1 | (5060942950894, 149731407817200, 1068402959567), 21.3535 719 | 1 | (107520131991934300807, 3806461427666562208200, 79551772691637657943), 33.7021 720 | 1 | (48, 1344, 1), 2.5772 721 | 1 | (1, -38, 1), 2.7638 722 | 1 | (57, 1862, 27), 2.5999 723 | 1 | (320993323200, 13987610785080, 273359449), 16.6369 724 | 2 | (2, 66, 1), 2.1584 | | (900, 25305, 64), 4.2107 725 | 2 | (180, 5430, 1), 1.8358 | | (26934, 788255, 216), 6.3692 726 | 0 | 727 | 1 | (2023, 59228, 343), 7.4032 x 728 | 0-2 | 729 | 1 | (324, -10530, 1), 1.8746 x 730 | 0-2 | 731 | 1 | (722, -20805, 8), 3.6101 732 | 0 | 733 | 1 | (411610834939110, 11566540987792973, 19227292839000), 22.7099 734 | 0 | 735 | 1 | (336, 9548, 27), 4.8734 736 | 0 | 737 | 0 | 738 | 0 | 739 | 1 | (100, -3485, 64), 4.4533 x 740 | 0-2 | 741 | 0 | 742 | 1 | (56, 1596, 1), 1.545 743 | 0 | x 744 | 0-2 | 745 | 1 | (5, 150, 1), 1.77 746 | 1 | (377601516, 14029344575, 320013504), 13.2459 x 747 | 0-2 | 748 | 1 | (3520, 99792, 125), 4.7432 749 | 0 | 750 | 0 | 751 | 2 | (49, -1400, 1), 2.3206 | | (242, -6875, 8), 3.525 752 | 0 | 753 | 0 | x 754 | 0-2 | 755 | 1 | (396010, 13452201, 1000), 9.174 756 | 1 | (150, 4530, 1), 1.2321 757 | 0 | 758 | 0 | 759 | 1 | (12936, 369369, 512), 6.8772 760 | 0 | 761 | 1 | (1444, -67830, 1), 6.5672 762 | 1 | (20815341688, 646083433380, 5368567751), 18.3435 763 | 1 | (5075, 337820, 24389), 6.3532 764 | 1 | (300, 8720, 27), 3.2644 765 | 2 | (3, 96, 1), 2.1727 | | (80, 2340, 1), 4.3061 766 | 1 | (114244, -5771857, 64), 8.9239 767 | 0 | 768 | 0 | 769 | 1 | (1681, -83230, 1), 6.8194 770 | 2 | (288, 9384, 1), 5.6587 | | (90, 2625, 8), 4.6957 771 | 0 | 772 | 2 | (242, 7722, 1), 4.4579 | | (256, -8224, 1), 2.4483 773 | 1 | (1299032236176841284, 37457028782826196375, 36184551452721216), 27.4392 774 | 1 | (2400, 135240, 1), 6.675 775 | 0 | 776 | 0 | 777 | 1 | (675, 25740, 1), 5.1105 778 | 0 | x 779 | 0-2 | 780 | 1 | (10, 375, 8), 4.1082 781 | 1 | (2, -125, 8), 3.9611 782 | 0 | 783 | 1 | (45, 2448, 125), 3.3912 784 | 1 | (4900, -369460, 1), 3.5135 785 | 0 | 786 | 0 | 787 | 0 | 788 | 1 | (6013594596798, 185608754910690, 37899197279), 17.6104 789 | 0 | 790 | 0 | 791 | 1 | (90593, -2646396, 4913), 9.6539 792 | 1 | (8, 240, 1), 2.9585 793 | 1 | (39, 1430, 27), 2.5802 794 | 1 | (240857352, -9144753085, 373248), 11.8794 795 | 1 | (1108905640128, 35368880742216, 303599943361), 20.8341 796 | 0 | 797 | 0 | x 798 | 0-2 | 799 | 2 | (34, 1071, 8), 2.2484 | | (1, -40, 1), 3.1599 800 | 0 | 801 | 1 | (9, -270, 1), 1.0467 802 | 2 | (800, 32040, 1), 3.1601 | | (8836, -271895, 64), 6.0086 x 803 | 0-2 | 804 | 1 | (192, -5840, 27), 3.3226 805 | 0 | 806 | 1 | (442, 43680, 4913), 5.6243 807 | 1 | (218886, -9343529, 216), 9.3588 808 | 0 | 809 | 1 | (100, -3030, 1), 2.9609 810 | 1 | (504, 18612, 343), 5.4679 811 | 1 | (174262, -5163335, 10648), 9.6683 812 | 1 | (8400, 281960, 27), 6.6061 813 | 0 | 814 | 2 | (23762, 3725184, 1), 9.1871 | | (11, 330, 1), 2.38 815 | 1 | (1849, -95460, 1), 5.4525 816 | 0 | 817 | 1 | (16, -476, 1), 2.8674 818 | 1 | (9254696581383284448, 763034134705752185400, 1547973697191839), 28.3414 819 | 1 | (48, 1428, 1), 4.0063 820 | 1 | (90, 2730, 1), 1.2785 821 | 0 | 822 | 1 | (1430016, 46015200, 6859), 10.77 823 | 2 | (7, 1420, 343), 6.906 | | (34245904, -3282057625, 4096), 12.1367 824 | 1 | (5299692552, 165852220512, 35611289), 16.0911 825 | 0 | 826 | 1 | (14, 420, 1), 1.1557 827 | 0 | 828 | 1 | (3814800, 231901080, 1331), 11.2953 829 | 0 | 830 | 1 | (222750, 6651225, 10648), 9.7878 831 | 1 | (7494712563, -256100847380, 3004685307), 17.0829 832 | 0 | 833 | 1 | (49, -1470, 1), 2.2084 834 | 1 | (224, 10296, 343), 7.0237 835 | 1 | (268105, 8145060, 24389), 9.1726 836 | 1 | (44, 1320, 1), 2.0922 837 | 1 | (75, 2280, 1), 2.0172 838 | 1 | (46245352582466, 2456881802178300, 23320116793), 21.5918 839 | 1 | (279628428727753, 9413487388199700, 96784767863497), 24.8457 x 840 | 1-3 | (24, 720, 1), 2.8906 841 | 1 | (1682, -54665, 8), 3.0026 842 | 0 | 843 | 2 | (3300, 113670, 1331), 4.9157 | | (4213770, -377682047, 35937000), 11.9692 844 | 1 | (941780, 29329937, 8000), 8.5591 845 | 1 | (30576, 1360268, 27), 7.4345 846 | 0 | 847 | 0 | 848 | 0 | 849 | 1 | (91875, -5991650, 27), 7.7 850 | 2 | (5600, 169800, 343), 2.8723 | | (1690, 55185, 8), 2.6014 851 | 1 | (294, -11305, 216), 4.5414 852 | 1 | (147, 4662, 1), 3.184 853 | 0 | 854 | 1 | (31114301400, 959927332980, 3170044709), 17.3699 855 | 2 | (60, 1830, 1), 1.2877 | | (3042, -107055, 8), 4.4736 856 | 0 | 857 | 0 | 858 | 2 | (9800, 1011780, 1), 8.8615 | | (3300, 100485, 64), 5.9104 859 | 1 | (1734, 54145, 216), 6.3352 860 | 1 | (4732440390, 264540443895, 12454901432), 18.1421 861 | 1 | (6720, 205128, 125), 6.6074 862 | 2 | (2, 72, 1), 2.7603 | | (7688, -235135, 512), 6.5804 863 | 1 | (7052903951973482712981395951, 214331600235859345712113602480, 281493014670108386338121999), 44.7653 864 | 1 | (288, 9792, 1), 2.8303 865 | 0 | 866 | 1 | (11686836, -356522725, 592704), 9.8799 867 | 2 | (1700, 51765, 64), 5.1882 | | (3468, 125137, 1728), 2.7608 868 | 1 | (50, 1530, 1), 1.3319 869 | 1 | (495, 16368, 125), 3.4292 870 | 1 | (30250, 2063325, 8), 8.8644 871 | 2 | (3, -280, 27), 4.4533 | | (50, -1595, 8), 3.6585 872 | 0 | x 873 | 0-2 | 874 | 1 | (8, 252, 1), 2.5952 875 | 1 | (45, 1380, 1), 1.5614 876 | 0 | 877 | 1 | (49284, -2001441, 64), 7.4547 878 | 0 | 879 | 0 | 880 | 0 | 881 | 2 | (1, -42, 1), 2.8604 | | (242, -7425, 8), 5.1924 882 | 1 | (42, 1365, 8), 3.0098 883 | 0 | 884 | 2 | (882, 37086, 1), 2.6874 | | (2496, 78416, 27), 5.4655 885 | 0 | 886 | 0 | 887 | 1 | (99892569862218389085977, 3121860039718963842132828, 1293772278125263375817), 37.1948 x 888 | 0-2 | 889 | 2 | (7, 224, 1), 1.9893 | | (36, -1110, 1), 2.8977 x 890 | 0-2 | 891 | 1 | (882, -28035, 8), 2.0481 892 | 0 | 893 | 1 | (367801319325, 12365646712496, 95757609375), 18.5149 x 894 | 0-2 | 895 | 1 | (7442, -318115, 8), 5.8776 896 | 0 | 897 | 1 | (195, 7488, 125), 2.5903 898 | 0 | 899 | 0 | 900 | 1 | (30, 2046, 125), 3.2594 901 | 0 | 902 | 0 | 903 | 0 | 904 | 1 | (128, 4128, 1), 1.9912 905 | 0 | 906 | 0 | 907 | 0 | 908 | 0 | 909 | 1 | (273273, 9144408, 1331), 9.0676 910 | 2 | (10, 405, 8), 3.0834 | | (224, 7560, 1), 3.434 911 | 3 | (1681, -85608, 1), 7.1778 | | (79202, -8235615, 8), 9.8006 | | (22326, -714493, 216), 7.6245 912 | 1 | (675, 26910, 1), 6.1711 913 | 0 | 914 | 1 | (-68962, -50808, 68921), 10.4891 915 | 1 | (19163642064, 1527476071212, 113872553423), 19.8657 916 | 1 | (1156, 36295, 64), 4.2948 917 | 0 | 918 | 0 | 919 | 2 | (49, -1540, 1), 4.5339 | | (2888, 95285, 512), 6.6893 920 | 0-2 | 921 | 0 | 922 | 1 | (329607006278200, 10876763638154940, 2057590290959), 20.7602 923 | 0 | 924 | 1 | (48, 1512, 1), 3.6285 925 | 1 | (20, 630, 1), 1.7024 926 | 1 | (676, -21645, 64), 3.9265 927 | 0 | 928 | 1 | (22400, 711360, 343), 6.1079 929 | 0 | 930 | 2 | (224, 10872, 343), 7.0768 | | (464750, 14666925, 10648), 10.1986 931 | 0 | 932 | 1 | (18, 570, 1), 2.049 933 | 0 | 934 | 1 | (242, 8316, 1), 5.0186 935 | 1 | (137280, 5029640, 59319), 9.0475 936 | 0 | 937 | 1 | (18, -663, 8), 3.8229 938 | 1 | (5142025161296969400, 330100827819852555180, 17442955559545377967), 32.6685 939 | 1 | (11663028, 369075798, 357911), 9.5723 940 | 0 | 941 | 1 | (123463498, 4901780415, 195112), 13.9868 942 | 1 | (6695918033400, 212568064906428, 304142328125), 21.214 943 | 1 | (7, -1520, 343), 6.974 944 | 1 | (80, 3936, 125), 3.5127 945 | 1 | (15, 480, 1), 1.2084 946 | 1 | (539, 20790, 1), 2.8873 947 | 0 | 948 | 0 | 949 | 1 | (1872, 68068, 729), 6.8654 950 | 0 | 951 | 1 | (5043, 170560, 27), 6.376 952 | 1 | (21, 980, 27), 4.7852 953 | 1 | (42436, -1707225, 64), 8.0674 954 | 1 | (504, 20196, 343), 6.0951 955 | 0 | 956 | 1 | (2087263964, 171980418000, 357911), 15.731 x 957 | 0-2 | 958 | 0 | x 959 | 0-2 | 960 | 1 | (8, 264, 1), 2.1746 961 | 0 | 962 | 2 | (288, 10200, 1), 5.7034 | | (11466, 437255, 5832), 4.7687 963 | 1 | (12, 390, 1), 2.1256 964 | 1 | (1947806, 158765958, 343), 8.2683 x 965 | 0-2 | x 966 | 1-3 | (378, 12159, 8), 2.1101 967 | 1 | (1, -44, 1), 3.252 968 | 1 | (37328445, 1200776346, 857375), 12.1431 969 | 2 | (3, 108, 1), 2.2097 | | (1088, 49368, 1), 3.3246 970 | 1 | (968, 42636, 1), 3.2522 971 | 0 | 972 | 0 | 973 | 1 | (88725, 5791240, 27), 8.6848 974 | 1 | (2349934722, 76656569568, 184220009), 14.1349 975 | 1 | (129360, 4257540, 1331), 8.3436 976 | 2 | (1444, -71060, 1), 4.7985 | | (324, -11700, 1), 1.8638 977 | 2 | (74263, -2571498, 343), 9.0425 | | (2499198, 85441175, 474552), 10.6113 978 | 1 | (2421784388844090250742447100800, 78288655506263673333322597888080, 55561527965523733973940326311), 48.6162 979 | 1 | (4400, 322740, 1), 4.1373 980 | 1 | (98, 3234, 1), 1.2996 981 | 0 | 982 | 0 | 983 | 1 | (26333918856494195483584041919, 1089079364856416560624741636740, 19422438060623579585964474031), 46.7275 x 984 | 0-2 | 985 | 2 | (245, 8610, 1), 2.0313 | | (1024, -45920, 1), 5.2309 x 986 | 0-2 | 987 | 0 | 988 | 1 | (650, 21385, 8), 2.4034 989 | 2 | (207, 7176, 1), 2.2712 | | (18, 10205, 5832), 7.9473 990 | 1 | (24, 780, 1), 3.3715 991 | 2 | (1127, 121856, 12167), 9.3924 | | (1682, -58435, 8), 6.4077 992 | 1 | (1440280800, 61929496320, 1685159), 14.7573 993 | 0 | 994 | 0 | 995 | 1 | (125, 4200, 1), 3.3471 996 | 1 | (228150, 7497126, 15625), 6.7003 997 | 0 | 998 | 0 | 999 | 0 | 1000 | 0 |