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Volkan Dagli

Member since .

About

Computational number theory & algebraic sieve research (Family Lab & ITouch Systems — Volkan Dağlı, Dr. Zerrin Dağlı, Dağhan Dağlı). • CERN Zenodo Publication: https://doi.org/10.5281/zenodo.23436282 • Code & Reproduction: https://github.com/pCwOrM/werr-elliptic-sieve Our submissions (curve#4308 to curve#4537; 230 curves) achieve 100% certified conductor factorizations (log N) via 4-Stage Werr Algebraic Sieve + ECM/MPQS (incl. rank >= 19 curve#4323, rank >= 12 Z/2Z x Z/2Z curve#4383), and Vélu isogenies with smaller |Delta|/heights (curve#4315, curve#4320, curve#4322, curve#4319, curve#4318, curve#4321, curve#4380, curve#4312, curve#4311, curve#4317, curve#4316, curve#4387). 30 #1 Gold Records across 43 leaderboards. Foundational Attribution: Full credit for curve families belongs to original discoverers (N. Elkies, A. Dujella, M. Rubinstein, Z. Klagsbrun, Layr-Labs/Yukon). Gratefully acknowledging ICARM & NSF DMS-2425401.

Curves (230)

curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#4323 [0, 0, 0, -7394310748527…, 33131406711913…] ≥ 19 trivial 141.86 168.86 12.78 177.10
#4393 [1, -1, 0, -1036327194109, 59268554613828…] ≥ 15 trivial 86.59 87.28 5.97 95.37
#4396 [1, -1, 0, -1705142089864, 14784210149888…] ≥ 15 trivial 88.64 89.33 6.14 97.20
#4395 [0, 0, 1, -2193487560853, 16457390380580…] ≥ 15 trivial 87.49 89.10 6.13 97.41
#4394 [1, 0, 1, -3847814251363, 28249245623705…] ≥ 15 trivial 87.49 88.18 6.12 98.55
#4397 [1, -1, 0, -50804263534, 29072003053415…] ≥ 14 trivial 76.85 77.54 5.16 85.57
#4401 [0, 0, 1, -2217077947, 28425800438316] ≥ 13 trivial 68.02 68.02 4.37 76.17
#4402 [0, 0, 1, -2147907577, 47888102069226] ≥ 13 trivial 68.05 68.05 4.38 76.52
#4403 [1, -1, 0, -2049670219, 48898999201369] ≥ 13 trivial 67.65 68.35 4.40 76.56
#4405 [1, -1, 0, -2599487089, 39173361400609] ≥ 13 trivial 67.61 68.30 4.40 76.65
#4466 [0, 0, 1, -1726817617, 57975709345266] ≥ 13 trivial 69.19 69.19 4.46 76.91
#4464 [1, -1, 0, -2834795014, 46808291571064] ≥ 13 trivial 67.71 68.41 4.42 76.91
#4465 [1, 0, 1, -2977992463, 43200225886902] ≥ 13 trivial 68.26 68.95 4.45 77.06
#4463 [0, 0, 1, -3491340307, 85062365501016] ≥ 13 trivial 68.17 68.17 4.43 77.67
#4399 [0, 0, 1, -6265772149, 18914277682918…] ≥ 13 trivial 67.84 67.84 4.47 79.29
#4398 [1, 0, 1, -6489409453, 20273043538717…] ≥ 13 trivial 67.06 67.75 4.47 79.41
#4400 [0, 0, 1, -6703514287, 20952665692329…] ≥ 13 trivial 67.92 67.92 4.48 79.49
#4404 [1, -1, 0, -25949190094, 16086856352886…] ≥ 13 trivial 67.28 67.97 4.67 83.55
#4409 [1, -1, 0, -79922404, 945333881884] ≥ 12 trivial 60.44 61.13 3.78 68.67
#4410 [0, 0, 1, -10424167, 1013182725216] ≥ 12 trivial 61.36 61.36 3.79 68.81
#4411 [0, 0, 1, -129671269, 1124584406100] ≥ 12 trivial 61.27 61.27 3.80 69.02
#4468 [0, 0, 1, -190719817, 1221345067746] ≥ 12 trivial 60.56 60.56 3.76 69.19
#4470 [0, 1, 1, -216826410, 990382874670] ≥ 12 trivial 60.69 60.69 3.77 69.20
#4471 [0, 0, 1, -220280389, 937214745522] ≥ 12 trivial 60.98 60.98 3.79 69.24
#4412 [0, 0, 1, -234270673, 1016774489478] ≥ 12 trivial 59.58 61.19 3.81 69.43
#4407 [0, 0, 1, -291185797, 1832954911656] ≥ 12 trivial 60.12 60.12 3.77 70.08
#4406 [1, -1, 0, -326831689, 2215060677769] ≥ 12 trivial 59.31 60.01 3.78 70.43
#4469 [1, -1, 0, -348460744, 2408671455724] ≥ 12 trivial 59.88 60.57 3.81 70.62
#4408 [1, -1, 0, -490124959, 4213132611529] ≥ 12 trivial 59.46 60.15 3.83 71.66
#4467 [0, 0, 1, -708531019, 7237725024300] ≥ 12 trivial 60.16 60.16 3.88 72.75
#4383 [0, -1, 0, -6773066279657…, 11930166725439…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 110.22 251.30 19.64 259.12
#4413 [0, 0, 1, -12510607, 22378666386] ≥ 11 trivial 52.87 52.87 3.11 61.19
#4416 [0, 0, 1, -15834277, -1218408864] ≥ 11 trivial 53.89 53.89 3.18 61.35
#4417 [1, -1, 1, -1280502, 24610224630] ≥ 11 trivial 53.92 53.92 3.17 61.38
#4418 [0, -1, 1, -18219470, 19461310622] ≥ 11 trivial 52.67 53.76 3.18 61.77
#4475 [0, 0, 1, -11098717, 35181000996] ≥ 11 trivial 54.46 54.46 3.22 62.09
#4476 [1, -1, 0, -16935151, 35586657241] ≥ 11 trivial 53.13 53.82 3.19 62.11
#4477 [1, 0, 1, -9494793, 36701246672] ≥ 11 trivial 53.93 54.62 3.24 62.18
#4414 [1, -1, 0, -22075864, 43047713164] ≥ 11 trivial 52.38 53.07 3.16 62.49
#4472 [0, 1, 1, -27593420, 52869643590] ≥ 11 trivial 53.27 53.27 3.19 63.01
#4473 [0, 0, 1, -43111327, 110577482226] ≥ 11 trivial 53.39 53.39 3.25 64.38
#4474 [1, -1, 0, -84320329, 297391514569] ≥ 11 trivial 52.78 53.47 3.33 66.36
#4415 [1, -1, 0, -93228004, 346879627684] ≥ 11 trivial 52.41 53.10 3.33 66.67
#4478 [1, -1, 0, -108131509, 432366460969] ≥ 11 trivial 52.79 53.48 3.37 67.11
#4422 [0, 0, 1, -1628809, 524691642] ≥ 10 trivial 46.51 46.51 2.58 54.52
#4423 [0, 0, 1, -1344889, 804658212] ≥ 10 trivial 46.27 46.27 2.56 54.54
#4424 [1, 0, 0, -1792372, 168435171] ≥ 10 trivial 47.32 47.32 2.63 54.81
#4482 [0, 1, 1, -1863480, 494369610] ≥ 10 trivial 47.18 47.18 2.63 54.93
#4481 [0, 0, 1, -1900297, 554782206] ≥ 10 trivial 47.17 47.17 2.63 54.99
#4480 [0, 0, 1, -1915627, 625734516] ≥ 10 trivial 47.08 47.08 2.62 55.01
#4420 [1, -1, 0, -2152789, 1315971169] ≥ 10 trivial 45.44 46.14 2.59 55.52
#4419 [0, 0, 1, -2324077, 1272484926] ≥ 10 trivial 46.09 46.09 2.59 55.59
#4479 [0, 1, 1, -2719370, 1634287200] ≥ 10 trivial 46.33 46.33 2.61 56.06
#4421 [0, 0, 1, -4465867, 3595567536] ≥ 10 trivial 46.19 46.19 2.66 57.55
#4428 [1, -1, 0, -139246, 36766576] ≥ 9 trivial 39.86 40.56 2.07 48.36
#4429 [0, 0, 1, -121849, 38046702] ≥ 9 trivial 40.77 40.77 2.09 48.43
#4430 [0, 0, 1, -173137, 43783716] ≥ 9 trivial 40.75 40.75 2.09 48.71
#4483 [0, 0, 1, -243817, 39472236] ≥ 9 trivial 40.08 40.08 2.06 48.83
#4486 [0, 0, 1, -248599, 11512500] ≥ 9 trivial 41.37 41.37 2.14 48.88
#4487 [1, 0, 0, -35110, 48596991] ≥ 9 trivial 41.46 41.46 2.13 48.92
#4485 [1, -1, 0, -178411, 53424121] ≥ 9 trivial 40.61 41.30 2.13 49.11
#4484 [0, 1, 1, -275280, 63307680] ≥ 9 trivial 40.53 40.53 2.10 49.45
#4427 [0, 0, 1, -330799, 77125362] ≥ 9 trivial 40.07 40.07 2.09 49.85
#4425 [0, 1, 1, -437082, 108823302] ≥ 9 trivial 39.91 39.91 2.11 50.58
#4426 [0, 0, 1, -1549597, 742096566] ≥ 9 trivial 40.01 40.01 2.28 54.37
#4312 [1, 1, 0, -2179271791, -9516362821775] ≥ 9 ℤ/2ℤ 47.13 68.60 4.41 76.12
#4309 [1, 1, 0, 8425949699, -7492300583920…] ≥ 9 ℤ/2ℤ 47.13 72.78 4.75 80.18
#4503 [1, 1, 0, -8641115852, 11807029851846…] ≥ 9 ℤ/2ℤ 46.33 72.64 4.75 80.25
#4502 [0, -1, 0, -10880574500, 38974809855891…] ≥ 9 ℤ/2ℤ 47.44 71.90 4.72 80.94
#4501 [0, -1, 0, -11494969455, 46166949175535…] ≥ 9 ℤ/2ℤ 47.82 70.71 4.67 81.11
#4500 [0, -1, 0, -4053735065, 47557709279036…] ≥ 9 ℤ/2ℤ 46.57 73.61 4.82 81.11
#4315 [0, -1, 0, -5675538082460…, 26559250512704…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 50.40 105.77 7.51 113.53
#4385 [0, 0, 0, -9435163878529…, 11155026480073…] ≥ 9 ℤ/2ℤ × ℤ/2ℤ 64.14 151.09 11.80 170.32
#4384 [0, 0, 0, -9283739595003…, 11530379178598…] ≥ 9 ℤ/4ℤ 64.14 160.71 12.14 170.38
#4434 [1, 0, 1, 21882, 1502972] ≥ 8 trivial 34.34 35.04 1.61 41.97
#4435 [1, 0, 0, -14470, 1656711] ≥ 8 trivial 34.53 34.53 1.56 42.17
#4436 [0, 0, 1, -28327, 538836] ≥ 8 trivial 34.82 34.82 1.59 42.37
#4490 [0, 0, 1, -28399, 454320] ≥ 8 trivial 34.86 34.86 1.60 42.38
#4489 [1, 0, 0, -28772, 1126801] ≥ 8 trivial 34.51 34.51 1.58 42.42
#4433 [0, 0, 1, -22477, 1920276] ≥ 8 trivial 34.40 34.40 1.57 42.46
#4431 [1, -1, 0, -113014, 14706784] ≥ 8 trivial 33.49 34.18 1.70 46.53
#4488 [0, 1, 1, -117840, 15595860] ≥ 8 trivial 34.41 34.41 1.72 46.65
#4432 [0, 0, 1, -216517, 38753856] ≥ 8 trivial 34.33 34.33 1.80 48.47
#4506 [0, -1, 0, -279749385, 1518333495561] ≥ 8 ℤ/2ℤ 39.20 61.27 3.83 69.96
#4510 [1, 1, 1, -393303086, 2225243339858] ≥ 8 ℤ/2ℤ 39.19 62.73 3.94 70.98
#4509 [0, 1, 0, -429865120, 3101118161604] ≥ 8 ℤ/2ℤ 39.07 62.10 3.91 71.25
#4507 [0, 1, 0, -433739145, 1718202086839] ≥ 8 ℤ/2ℤ 39.75 63.54 3.99 71.28
#4508 [0, 1, 0, -473405585, 3135605455759] ≥ 8 ℤ/2ℤ 40.80 63.10 3.97 71.54
#4505 [0, -1, 0, -575827145, 5275024540041] ≥ 8 ℤ/2ℤ 39.50 60.56 3.87 72.13
#4504 [0, 1, 0, -1201503305, 16022243175799] ≥ 8 ℤ/2ℤ 40.25 59.90 3.94 74.33
#4317 [1, -1, 0, 1142466471129, 11972149384960…] ≥ 8 ℤ/3ℤ 45.68 89.46 6.14 96.78
#4314 [0, -1, 0, -2541594319889, -1588407772556…] ≥ 8 ℤ/2ℤ × ℤ/2ℤ 44.23 89.84 6.18 97.31
#4326 [1, -1, 0, -6252711726870…, 19038088225519…] ≥ 8 ℤ/3ℤ 47.95 92.32 6.65 106.91
#4325 [1, 0, 1, -8480450964183…, 95055339378025…] ≥ 8 ℤ/3ℤ 48.68 90.76 7.05 114.74
#4324 [1, 0, 1, -1855258945632…, 30757774810018…] ≥ 8 ℤ/3ℤ 48.05 87.68 7.15 117.08
#4319 [1, 0, 0, 83673830000529…, 41118210806270…] ≥ 8 ℤ/4ℤ 48.33 114.82 8.25 122.27
#4310 [1, 0, 0, -7814086402106…, 82188165596195…] ≥ 8 ℤ/2ℤ × ℤ/2ℤ 48.33 117.74 8.59 128.31
#4386 [1, 1, 1, 15826828814078…, -6612014528461…] ≥ 8 ℤ/4ℤ 52.11 136.86 10.09 144.24
#4387 [0, 1, 0, 16690122974038…, 34890403025633…] ≥ 8 ℤ/6ℤ 60.19 179.41 13.64 186.41
#4388 [0, 1, 0, -1133545939325…, 35576888392300…] ≥ 8 ℤ/6ℤ 60.19 183.25 13.98 191.59
#4390 [1, -1, 0, -1813293615269…, 29721467947304…] ≥ 8 ℤ/6ℤ 61.45 196.97 15.48 213.72
#4389 [1, -1, 0, -2901306793424…, 19021229954886…] ≥ 8 ℤ/6ℤ 61.45 188.54 15.83 222.04
#4440 [0, 1, 1, -3480, -2610] ≥ 7 trivial 28.62 28.62 1.07 36.08
#4441 [0, 0, 1, -3577, 21666] ≥ 7 trivial 28.63 28.63 1.08 36.16
#4442 [0, 0, 1, -3829, 45480] ≥ 7 trivial 28.62 28.62 1.08 36.36
#4492 [1, -1, 1, 1149, 96570] ≥ 7 trivial 29.05 29.05 1.10 36.49
#4494 [0, 1, 1, -2324, 134448] ≥ 7 trivial 29.59 29.59 1.15 37.15
#4495 [1, -1, 0, -3499, 137089] ≥ 7 trivial 28.60 29.29 1.14 37.17
#4491 [1, 0, 0, -4459, 141870] ≥ 7 trivial 28.75 28.75 1.11 37.25
#4493 [1, -1, 0, -3946, 143896] ≥ 7 trivial 28.53 29.22 1.13 37.26
#4443 [1, -1, 0, -4564, 151684] ≥ 7 trivial 28.25 28.94 1.12 37.37
#4444 [1, -1, 0, -4594, 152824] ≥ 7 trivial 28.25 28.95 1.12 37.38
#4438 [0, 0, 1, -14959, 700260] ≥ 7 trivial 28.50 28.50 1.21 40.45
#4437 [0, 1, 1, -18710, 976170] ≥ 7 trivial 28.45 28.45 1.24 41.12
#4439 [0, 0, 1, -18967, 1008216] ≥ 7 trivial 28.52 28.52 1.24 41.17
#4311 [1, -1, 1, -2667476, 43710086] ≥ 7 ℤ/2ℤ 33.04 48.55 2.74 56.00
#4514 [0, 1, 0, -11969049, 8440997671] ≥ 7 ℤ/2ℤ 34.49 52.72 3.09 60.51
#4515 [0, 1, 0, -18822025, 12335602359] ≥ 7 ℤ/2ℤ 33.06 54.24 3.21 61.87
#4516 [0, 1, 0, -22245225, 32635210279] ≥ 7 ℤ/2ℤ 33.12 53.85 3.20 62.37
#4518 [1, -1, 0, -22563774, 9921312324] ≥ 7 ℤ/2ℤ 32.06 54.89 3.27 62.41
#4308 [1, -1, 1, -29735621, 62246307296] ≥ 7 ℤ/2ℤ 33.04 50.58 3.08 63.24
#4511 [0, 1, 0, -35263769, 80522169511] ≥ 7 ℤ/2ℤ 33.50 49.90 3.08 63.75
#4513 [0, -1, 0, -76166345, 255821746761] ≥ 7 ℤ/2ℤ 33.29 50.90 3.23 66.06
#4517 [1, 1, 0, -83696225, 294602641125] ≥ 7 ℤ/2ℤ 31.74 51.38 3.26 66.34
#4512 [0, 1, 0, -117092769, 487626124351] ≥ 7 ℤ/2ℤ 33.09 50.67 3.29 67.35
#4316 [1, -1, 0, -2392541286, 26705469738276…] ≥ 7 ℤ/3ℤ 37.19 72.48 4.72 79.96
#4313 [0, -1, 0, -22301168969, 11520159155971…] ≥ 7 ℤ/2ℤ × ℤ/2ℤ 37.00 73.99 4.90 83.10
#4330 [0, 1, 1, -14128811261, 22143378130981…] ≥ 7 ℤ/3ℤ 39.98 76.65 5.07 84.19
#4331 [0, 1, 0, -45497850737, 37914533214558…] ≥ 7 ℤ/3ℤ 39.12 74.28 4.99 85.27
#4332 [0, 1, 0, -19174046905, 46225291857245…] ≥ 7 ℤ/3ℤ 40.73 78.16 5.20 85.66
#4519 [0, 1, 0, -69574732158, 73298672498049…] ≥ 7 ℤ/3ℤ 40.12 76.49 5.14 86.58
#4333 [0, 0, 1, -76222578978, 84140406944229…] ≥ 7 ℤ/3ℤ 38.66 76.79 5.16 86.86
#4328 [1, 0, 1, -651058919645, 20219882616712…] ≥ 7 ℤ/3ℤ 38.79 71.83 5.32 93.22
#4329 [1, 0, 1, -1053728083560, 41633324895339…] ≥ 7 ℤ/3ℤ 39.59 73.50 5.44 94.66
#4327 [0, 1, 0, -5128777269002, 44706297732806…] ≥ 7 ℤ/3ℤ 39.54 68.93 5.66 99.41
#4318 [1, 1, 1, -707689811309, 62408909175557…] ≥ 7 ℤ/4ℤ 40.16 92.62 6.40 100.08
#4391 [1, 1, 1, 70017533067322…, 16719390490661…] ≥ 7 ℤ/4ℤ 42.90 108.58 7.73 115.86
#4392 [1, 1, 0, -5157621363938…, 20325051562358…] ≥ 7 ℤ/4ℤ 42.15 112.73 8.10 120.86
#4321 [0, -1, 1, -1774897982859…, 27161891006732…] ≥ 7 ℤ/5ℤ 50.13 148.73 11.15 158.40
#4445 [1, -1, 1, -372, 5700] ≥ 6 trivial 23.06 23.06 0.61 30.79
#4448 [1, -1, 0, -709, -1391] ≥ 6 trivial 23.11 23.80 0.67 31.31
#4449 [1, -1, 0, -784, 4684] ≥ 6 trivial 23.13 23.82 0.68 31.61
#4496 [0, 0, 1, -619, 8670] ≥ 6 trivial 23.57 23.57 0.67 31.66
#4498 [0, 1, 1, -270, 8850] ≥ 6 trivial 24.23 24.23 0.70 31.72
#4497 [0, 1, 1, -842, 3192] ≥ 6 trivial 24.22 24.22 0.71 31.82
#4450 [1, -1, 0, -844, 11764] ≥ 6 trivial 22.98 23.68 0.69 32.23
#4447 [0, 1, 1, -1270, 16100] ≥ 6 trivial 23.31 23.31 0.70 33.05
#4446 [0, 0, 1, -4657, 122436] ≥ 6 trivial 23.21 23.21 0.85 36.95
#4520 [0, -1, 0, -535049, 138777609] ≥ 6 ℤ/2ℤ 26.35 41.85 2.23 51.18
#4522 [0, 1, 0, -612649, 146832231] ≥ 6 ℤ/2ℤ 27.49 43.13 2.31 51.59
#4521 [0, 1, 0, -634505, 179868679] ≥ 6 ℤ/2ℤ 27.06 42.30 2.27 51.70
#4337 [0, 1, 0, -34563861, 297542599300] ≥ 6 ℤ/3ℤ 31.07 58.83 3.59 66.36
#4338 [0, 0, 0, -6700149, 1247009956389] ≥ 6 ℤ/3ℤ 32.53 61.77 3.83 69.23
#4339 [1, 0, 1, -322510015, 1851150388822] ≥ 6 ℤ/3ℤ 31.21 61.76 3.87 70.39
#4526 [1, -1, 0, -137541786, 2236782573008] ≥ 6 ℤ/3ℤ 32.39 62.86 3.92 70.40
#4524 [0, 0, 0, -631437849, 6127703285481] ≥ 6 ℤ/3ℤ 32.14 59.95 3.85 72.41
#4335 [1, 0, 1, -653466460, 6429170239500] ≥ 6 ℤ/3ℤ 30.71 55.96 3.72 72.51
#4523 [0, 0, 0, -678295692, 6796972907649] ≥ 6 ℤ/3ℤ 31.38 57.96 3.79 72.62
#4525 [1, 0, 1, -909903650, 10576401079872] ≥ 6 ℤ/3ℤ 31.61 59.97 3.90 73.50
#4530 [0, 0, 0, -969842223, 6582719885778] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 31.13 65.85 4.19 73.69
#4350 [1, 0, 0, -1034398205, 9475169986800] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 30.62 65.64 4.18 73.88
#4531 [0, 0, 0, -1268913663, 13430938284738] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 31.28 66.14 4.22 74.50
#4340 [1, 0, 0, -1247456750, 19106431436932] ≥ 6 ℤ/3ℤ 30.92 65.68 4.20 74.69
#4529 [0, -1, 0, -1598016096, 23734429258320] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 31.83 65.05 4.19 75.19
#4348 [0, -1, 0, -1787349481, 27923134701481] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 32.76 65.52 4.22 75.53
#4336 [1, 0, 1, -2061579035, 36028884975402] ≥ 6 ℤ/3ℤ 31.24 57.78 3.96 75.95
#4349 [0, -1, 0, -2258742409, 26621829718729] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 34.12 68.24 4.39 76.23
#4347 [0, -1, 0, -2369462961, 43825830348465] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 31.93 65.25 4.24 76.37
#4334 [0, 0, 1, -14473553544, 67020995412153…] ≥ 6 ℤ/3ℤ 32.26 55.87 4.27 81.80
#4341 [1, -1, 1, -231181612151, 17549469487990…] ≥ 6 ℤ/4ℤ 34.91 82.47 5.57 90.11
#4320 [1, 0, 0, -9480577128368…, 10689892431384…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 39.78 119.07 8.68 128.89
#4345 [1, 0, 0, -5792897235244…, 63627938114229…] ≥ 6 ℤ/5ℤ 42.64 129.43 9.47 136.96
#4344 [0, 1, 1, -1088393737396…, 65439697575108…] ≥ 6 ℤ/5ℤ 44.63 128.97 9.45 137.01
#4346 [1, 1, 1, -8348339898622…, 85434281703081…] ≥ 6 ℤ/5ℤ 42.83 129.97 9.52 137.55
#4528 [0, -1, 1, -1867256149029…, 15252954125566…] ≥ 6 ℤ/5ℤ 45.21 130.72 9.59 138.71
#4527 [0, -1, 1, -7431287259945…, 77261949638441…] ≥ 6 ℤ/5ℤ 44.56 130.51 9.69 141.97
#4343 [0, 1, 1, -3371396008318…, 75345108757938…] ≥ 6 ℤ/5ℤ 44.08 128.81 9.85 146.51
#4342 [1, 0, 0, -1371226404735…, 61803329616104…] ≥ 6 ℤ/5ℤ 45.36 126.16 10.04 150.72
#4451 [0, 1, 1, -112, 20] ≥ 5 trivial 18.31 18.31 0.22 25.78
#4452 [0, 0, 1, -97, 606] ≥ 5 trivial 18.42 18.42 0.23 26.34
#4454 [0, 0, 1, -37, 636] ≥ 5 trivial 18.96 18.96 0.26 26.43
#4453 [0, 1, 1, -142, 182] ≥ 5 trivial 18.90 18.90 0.27 26.49
#4455 [0, 1, 0, -625, 6099] ≥ 5 trivial 17.69 21.15 0.52 31.02
#4456 [0, 0, 1, -1117, 13026] ≥ 5 trivial 17.79 23.49 0.69 32.67
#4457 [0, 0, 1, -2037, 35806] ≥ 5 trivial 17.79 23.28 0.75 34.49
#4532 [0, -1, 0, -5245, 3502381] ≥ 5 ℤ/2ℤ 23.59 36.20 1.70 43.66
#4352 [0, 0, 0, -7062984, 11128470561] ≥ 5 ℤ/3ℤ 27.58 51.79 3.01 59.79
#4360 [0, 1, 0, -38270409, 86932347831] ≥ 5 ℤ/2ℤ × ℤ/2ℤ 24.87 54.13 3.27 63.99
#4537 [0, 1, 0, -46419030, 18319679928] ≥ 5 ℤ/2ℤ × ℤ/2ℤ 25.79 57.10 3.45 64.57
#4353 [1, -1, 0, -67860996, 215685558116] ≥ 5 ℤ/3ℤ 27.97 52.89 3.28 65.72
#4357 [0, -1, 0, -242660383, 1336936648012] ≥ 5 ℤ/4ℤ 25.35 60.22 3.76 69.54
#4534 [1, 1, 1, -177267159, 4919066961780] ≥ 5 ℤ/4ℤ 28.41 64.48 4.05 71.97
#4351 [1, -1, 0, -593095836, 5559644322516] ≥ 5 ℤ/3ℤ 26.16 44.47 3.44 72.22
#4535 [1, 1, 1, -91119784, 5960985623465] ≥ 5 ℤ/4ℤ 25.43 64.90 4.09 72.36
#4356 [0, -1, 0, -32094184, 6065334687664] ≥ 5 ℤ/4ℤ 25.86 64.94 4.09 72.39
#4533 [0, -1, 0, -681780495, 6783916801632] ≥ 5 ℤ/4ℤ 27.16 61.26 3.92 72.63
#4358 [1, 1, 1, -1399689438, 20153445168906] ≥ 5 ℤ/4ℤ 25.43 58.57 3.92 74.79
#4355 [0, -1, 0, -6098211649, 18329209340572…] ≥ 5 ℤ/4ℤ 26.68 62.02 4.26 79.21
#4354 [0, 0, 0, -9751166076, 37062270470608…] ≥ 5 ℤ/4ℤ 26.18 60.79 4.31 80.62
#4359 [0, 0, 0, -11542418356, 47730208319568…] ≥ 5 ℤ/2ℤ × ℤ/2ℤ 27.04 54.08 4.19 81.12
#4322 [1, 1, 1, -553051180885, 12712007372113…] ≥ 5 ℤ/2ℤ × ℤ/4ℤ 27.61 84.24 5.74 92.73
#4361 [0, -1, 1, -5476364108875…, 17226869079409…] ≥ 5 ℤ/5ℤ 34.23 97.55 6.86 106.71
#4381 [0, 1, 1, -7749825089353…, 28372338228469…] ≥ 5 ℤ/5ℤ 34.51 98.32 6.93 107.71
#4363 [1, 0, 0, -1853297996496…, 11864676167366…] ≥ 5 ℤ/5ℤ 34.99 102.01 7.22 110.57
#4536 [0, -1, 1, -4058795325264…, 31775508823525…] ≥ 5 ℤ/5ℤ 35.58 101.12 7.24 112.54
#4364 [1, 0, 0, -5275121261143…, 46851959483786…] ≥ 5 ℤ/5ℤ 32.48 101.19 7.28 113.32
#4365 [1, 0, 0, -2647089661015…, 55137264142880…] ≥ 5 ℤ/5ℤ 32.77 106.10 7.53 113.65
#4380 [0, 1, 1, -7524725406654…, 79448204098829…] ≥ 5 ℤ/5ℤ 32.61 86.72 6.95 114.38
#4362 [0, 1, 1, -3386337735130…, 75847892516845…] ≥ 5 ℤ/5ℤ 35.61 97.62 8.36 132.70
#4460 [0, -1, 1, 28, 30] ≥ 4 trivial 14.52 14.52 -0.10 21.57
#4458 [0, 1, 1, -22, 50] ≥ 4 trivial 13.49 13.49 -0.17 21.63
#4461 [1, -1, 1, -31, 6] ≥ 4 trivial 14.43 14.43 -0.11 21.89
#4459 [1, -1, 0, -34, 64] ≥ 4 trivial 13.33 14.02 -0.12 22.21
#4499 [1, 0, 1, -103, 462] ≥ 4 trivial 13.58 17.10 0.15 25.83
#4462 [0, 1, 1, -534, 4578] ≥ 4 trivial 13.47 16.04 0.28 30.46
#4373 [1, -1, 0, -26196, 2031596] ≥ 4 ℤ/3ℤ 18.06 34.06 1.55 42.57
#4382 [0, 1, 0, -30762, 2211409] ≥ 4 ℤ/3ℤ 18.43 33.23 1.51 42.75
#4374 [1, -1, 0, 4530, 2277080] ≥ 4 ℤ/3ℤ 18.63 35.35 1.62 42.80
#4375 [1, 0, 1, -55445, 4819980] ≥ 4 ℤ/3ℤ 17.93 34.38 1.63 44.38
#4376 [0, 1, 0, -51837, 5033791] ≥ 4 ℤ/3ℤ 18.03 35.28 1.67 44.39
#4371 [0, 0, 1, -199044, 34183215] ≥ 4 ℤ/3ℤ 18.80 32.19 1.71 48.22
#4372 [1, 0, 0, -1398797, 636649489] ≥ 4 ℤ/3ℤ 17.92 32.97 2.06 54.07
#4377 [1, 1, 1, -1049984, 993633770] ≥ 4 ℤ/4ℤ 19.13 47.31 2.63 54.96
#4370 [0, 1, 1, -7108017, 7291715835] ≥ 4 ℤ/3ℤ 18.43 31.65 2.34 58.94
#4378 [1, 0, 0, -87135479, 313062038064] ≥ 4 ℤ/4ℤ 20.09 44.93 3.08 66.46
#4367 [0, 1, 1, -4034574180, 10411816522727…] ≥ 4 ℤ/5ℤ 24.54 68.34 4.45 78.08
#4369 [1, 0, 0, 2032427265, 15925601454236…] ≥ 4 ℤ/5ℤ 24.56 71.52 4.64 78.93
#4366 [0, 1, 1, -8393098480, 29616735918625…] ≥ 4 ℤ/5ℤ 24.14 66.16 4.44 80.17
#4368 [0, -1, 1, -10693395740, 42297655947181…] ≥ 4 ℤ/5ℤ 24.16 69.05 4.59 80.89
#4379 [0, -1, 0, -284743456964, 58481641844921…] ≥ 4 ℤ/2ℤ × ℤ/4ℤ 23.94 73.29 5.21 90.74