Newspace parameters
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bu (of order \(12\), degree \(4\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 197.11 | ||
Character | \(\chi\) | \(=\) | 546.197 |
Dual form | 546.2.bu.a.449.11 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.258819 | − | 0.965926i | 0.183013 | − | 0.683013i | ||||
\(3\) | −0.264812 | − | 1.71169i | −0.152889 | − | 0.988243i | ||||
\(4\) | −0.866025 | − | 0.500000i | −0.433013 | − | 0.250000i | ||||
\(5\) | −0.429580 | − | 0.429580i | −0.192114 | − | 0.192114i | 0.604495 | − | 0.796609i | \(-0.293375\pi\) |
−0.796609 | + | 0.604495i | \(0.793375\pi\) | |||||||
\(6\) | −1.72190 | − | 0.187229i | −0.702963 | − | 0.0764359i | ||||
\(7\) | −0.965926 | + | 0.258819i | −0.365086 | + | 0.0978244i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | −2.85975 | + | 0.906550i | −0.953250 | + | 0.302183i | ||||
\(10\) | −0.526126 | + | 0.303759i | −0.166376 | + | 0.0960570i | ||||
\(11\) | −1.44890 | − | 0.388232i | −0.436860 | − | 0.117056i | 0.0336843 | − | 0.999433i | \(-0.489276\pi\) |
−0.470545 | + | 0.882376i | \(0.655943\pi\) | |||||||
\(12\) | −0.626510 | + | 1.61477i | −0.180858 | + | 0.466144i | ||||
\(13\) | −1.82271 | − | 3.11091i | −0.505527 | − | 0.862811i | ||||
\(14\) | 1.00000i | 0.267261i | ||||||||
\(15\) | −0.621549 | + | 0.849065i | −0.160483 | + | 0.219228i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −2.50234 | + | 4.33419i | −0.606908 | + | 1.05119i | 0.384839 | + | 0.922984i | \(0.374257\pi\) |
−0.991747 | + | 0.128211i | \(0.959076\pi\) | |||||||
\(18\) | 0.135502 | + | 2.99694i | 0.0319381 | + | 0.706385i | ||||
\(19\) | 0.744411 | + | 2.77818i | 0.170780 | + | 0.637358i | 0.997232 | + | 0.0743518i | \(0.0236888\pi\) |
−0.826452 | + | 0.563007i | \(0.809645\pi\) | |||||||
\(20\) | 0.157237 | + | 0.586817i | 0.0351593 | + | 0.131216i | ||||
\(21\) | 0.698806 | + | 1.58483i | 0.152492 | + | 0.345837i | ||||
\(22\) | −0.750007 | + | 1.29905i | −0.159902 | + | 0.276958i | ||||
\(23\) | −2.87235 | − | 4.97505i | −0.598925 | − | 1.03737i | −0.992980 | − | 0.118282i | \(-0.962261\pi\) |
0.394055 | − | 0.919087i | \(-0.371072\pi\) | |||||||
\(24\) | 1.39760 | + | 1.02310i | 0.285283 | + | 0.208839i | ||||
\(25\) | − | 4.63092i | − | 0.926184i | ||||||
\(26\) | −3.47666 | + | 0.955436i | −0.681828 | + | 0.187376i | ||||
\(27\) | 2.30902 | + | 4.65493i | 0.444372 | + | 0.895842i | ||||
\(28\) | 0.965926 | + | 0.258819i | 0.182543 | + | 0.0489122i | ||||
\(29\) | −5.53687 | + | 3.19672i | −1.02817 | + | 0.593615i | −0.916460 | − | 0.400125i | \(-0.868967\pi\) |
−0.111711 | + | 0.993741i | \(0.535633\pi\) | |||||||
\(30\) | 0.659265 | + | 0.820125i | 0.120365 | + | 0.149734i | ||||
\(31\) | 2.86572 | − | 2.86572i | 0.514699 | − | 0.514699i | −0.401263 | − | 0.915963i | \(-0.631429\pi\) |
0.915963 | + | 0.401263i | \(0.131429\pi\) | |||||||
\(32\) | 0.965926 | − | 0.258819i | 0.170753 | − | 0.0457532i | ||||
\(33\) | −0.280846 | + | 2.58288i | −0.0488890 | + | 0.449621i | ||||
\(34\) | 3.53885 | + | 3.53885i | 0.606908 | + | 0.606908i | ||||
\(35\) | 0.526126 | + | 0.303759i | 0.0889315 | + | 0.0513446i | ||||
\(36\) | 2.92989 | + | 0.644780i | 0.488315 | + | 0.107463i | ||||
\(37\) | 2.29499 | − | 8.56502i | 0.377294 | − | 1.40808i | −0.472670 | − | 0.881240i | \(-0.656710\pi\) |
0.849964 | − | 0.526841i | \(-0.176624\pi\) | |||||||
\(38\) | 2.87618 | 0.466579 | ||||||||
\(39\) | −4.84223 | + | 3.94371i | −0.775377 | + | 0.631498i | ||||
\(40\) | 0.607518 | 0.0960570 | ||||||||
\(41\) | −0.973141 | + | 3.63181i | −0.151979 | + | 0.567194i | 0.847366 | + | 0.531009i | \(0.178187\pi\) |
−0.999345 | + | 0.0361844i | \(0.988480\pi\) | |||||||
\(42\) | 1.71169 | − | 0.264812i | 0.264119 | − | 0.0408613i | ||||
\(43\) | 9.35271 | + | 5.39979i | 1.42628 | + | 0.823460i | 0.996824 | − | 0.0796301i | \(-0.0253739\pi\) |
0.429451 | + | 0.903090i | \(0.358707\pi\) | |||||||
\(44\) | 1.06067 | + | 1.06067i | 0.159902 | + | 0.159902i | ||||
\(45\) | 1.61793 | + | 0.839056i | 0.241186 | + | 0.125079i | ||||
\(46\) | −5.54895 | + | 1.48684i | −0.818147 | + | 0.219222i | ||||
\(47\) | −7.10501 | + | 7.10501i | −1.03637 | + | 1.03637i | −0.0370599 | + | 0.999313i | \(0.511799\pi\) |
−0.999313 | + | 0.0370599i | \(0.988201\pi\) | |||||||
\(48\) | 1.34996 | − | 1.08518i | 0.194850 | − | 0.156632i | ||||
\(49\) | 0.866025 | − | 0.500000i | 0.123718 | − | 0.0714286i | ||||
\(50\) | −4.47313 | − | 1.19857i | −0.632596 | − | 0.169504i | ||||
\(51\) | 8.08143 | + | 3.13549i | 1.13163 | + | 0.439056i | ||||
\(52\) | 0.0230552 | + | 3.60548i | 0.00319718 | + | 0.499990i | ||||
\(53\) | − | 7.88465i | − | 1.08304i | −0.840688 | − | 0.541520i | \(-0.817849\pi\) | ||
0.840688 | − | 0.541520i | \(-0.182151\pi\) | |||||||
\(54\) | 5.09394 | − | 1.02556i | 0.693197 | − | 0.139561i | ||||
\(55\) | 0.455643 | + | 0.789196i | 0.0614389 | + | 0.106415i | ||||
\(56\) | 0.500000 | − | 0.866025i | 0.0668153 | − | 0.115728i | ||||
\(57\) | 4.55825 | − | 2.00989i | 0.603755 | − | 0.266217i | ||||
\(58\) | 1.65474 | + | 6.17558i | 0.217278 | + | 0.810894i | ||||
\(59\) | −3.35057 | − | 12.5045i | −0.436207 | − | 1.62795i | −0.738161 | − | 0.674625i | \(-0.764305\pi\) |
0.301954 | − | 0.953323i | \(-0.402361\pi\) | |||||||
\(60\) | 0.962810 | − | 0.424537i | 0.124298 | − | 0.0548075i | ||||
\(61\) | −0.879168 | + | 1.52276i | −0.112566 | + | 0.194970i | −0.916804 | − | 0.399337i | \(-0.869240\pi\) |
0.804238 | + | 0.594307i | \(0.202574\pi\) | |||||||
\(62\) | −2.02637 | − | 3.50978i | −0.257350 | − | 0.445743i | ||||
\(63\) | 2.52767 | − | 1.61582i | 0.318457 | − | 0.203574i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −0.553386 | + | 2.11938i | −0.0686391 | + | 0.262877i | ||||
\(66\) | 2.42218 | + | 0.939774i | 0.298150 | + | 0.115678i | ||||
\(67\) | −10.7168 | − | 2.87155i | −1.30926 | − | 0.350815i | −0.464316 | − | 0.885670i | \(-0.653700\pi\) |
−0.844944 | + | 0.534855i | \(0.820366\pi\) | |||||||
\(68\) | 4.33419 | − | 2.50234i | 0.525597 | − | 0.303454i | ||||
\(69\) | −7.75510 | + | 6.23401i | −0.933604 | + | 0.750486i | ||||
\(70\) | 0.429580 | − | 0.429580i | 0.0513446 | − | 0.0513446i | ||||
\(71\) | 5.54815 | − | 1.48662i | 0.658444 | − | 0.176430i | 0.0859005 | − | 0.996304i | \(-0.472623\pi\) |
0.572544 | + | 0.819874i | \(0.305957\pi\) | |||||||
\(72\) | 1.38112 | − | 2.66318i | 0.162767 | − | 0.313858i | ||||
\(73\) | −10.8592 | − | 10.8592i | −1.27097 | − | 1.27097i | −0.945580 | − | 0.325388i | \(-0.894505\pi\) |
−0.325388 | − | 0.945580i | \(-0.605495\pi\) | |||||||
\(74\) | −7.67919 | − | 4.43358i | −0.892687 | − | 0.515393i | ||||
\(75\) | −7.92669 | + | 1.22632i | −0.915296 | + | 0.141603i | ||||
\(76\) | 0.744411 | − | 2.77818i | 0.0853898 | − | 0.318679i | ||||
\(77\) | 1.50001 | 0.170942 | ||||||||
\(78\) | 2.55607 | + | 5.69794i | 0.289418 | + | 0.645165i | ||||
\(79\) | 3.68438 | 0.414525 | 0.207262 | − | 0.978285i | \(-0.433545\pi\) | ||||
0.207262 | + | 0.978285i | \(0.433545\pi\) | |||||||
\(80\) | 0.157237 | − | 0.586817i | 0.0175797 | − | 0.0656082i | ||||
\(81\) | 7.35634 | − | 5.18501i | 0.817371 | − | 0.576112i | ||||
\(82\) | 3.25619 | + | 1.87996i | 0.359586 | + | 0.207607i | ||||
\(83\) | 5.15594 | + | 5.15594i | 0.565938 | + | 0.565938i | 0.930988 | − | 0.365050i | \(-0.118948\pi\) |
−0.365050 | + | 0.930988i | \(0.618948\pi\) | |||||||
\(84\) | 0.187229 | − | 1.72190i | 0.0204284 | − | 0.187875i | ||||
\(85\) | 2.93684 | − | 0.786923i | 0.318545 | − | 0.0853538i | ||||
\(86\) | 7.63646 | − | 7.63646i | 0.823460 | − | 0.823460i | ||||
\(87\) | 6.93801 | + | 8.63087i | 0.743833 | + | 0.925327i | ||||
\(88\) | 1.29905 | − | 0.750007i | 0.138479 | − | 0.0799510i | ||||
\(89\) | −6.57035 | − | 1.76052i | −0.696455 | − | 0.186615i | −0.106813 | − | 0.994279i | \(-0.534065\pi\) |
−0.589642 | + | 0.807664i | \(0.700731\pi\) | |||||||
\(90\) | 1.22922 | − | 1.34563i | 0.129571 | − | 0.141842i | ||||
\(91\) | 2.56576 | + | 2.53316i | 0.268965 | + | 0.265547i | ||||
\(92\) | 5.74469i | 0.598925i | ||||||||
\(93\) | −5.66410 | − | 4.14635i | −0.587340 | − | 0.429956i | ||||
\(94\) | 5.02400 | + | 8.70183i | 0.518186 | + | 0.897525i | ||||
\(95\) | 0.873667 | − | 1.51324i | 0.0896363 | − | 0.155255i | ||||
\(96\) | −0.698806 | − | 1.58483i | −0.0713216 | − | 0.161751i | ||||
\(97\) | −0.785006 | − | 2.92968i | −0.0797053 | − | 0.297464i | 0.914554 | − | 0.404464i | \(-0.132542\pi\) |
−0.994259 | + | 0.107000i | \(0.965875\pi\) | |||||||
\(98\) | −0.258819 | − | 0.965926i | −0.0261447 | − | 0.0975732i | ||||
\(99\) | 4.49545 | − | 0.203255i | 0.451810 | − | 0.0204279i | ||||
\(100\) | −2.31546 | + | 4.01050i | −0.231546 | + | 0.401050i | ||||
\(101\) | −2.55267 | − | 4.42136i | −0.254001 | − | 0.439942i | 0.710623 | − | 0.703573i | \(-0.248413\pi\) |
−0.964624 | + | 0.263631i | \(0.915080\pi\) | |||||||
\(102\) | 5.12028 | − | 6.99453i | 0.506983 | − | 0.692562i | ||||
\(103\) | − | 5.89303i | − | 0.580658i | −0.956927 | − | 0.290329i | \(-0.906235\pi\) | ||
0.956927 | − | 0.290329i | \(-0.0937647\pi\) | |||||||
\(104\) | 3.48859 | + | 0.910897i | 0.342084 | + | 0.0893208i | ||||
\(105\) | 0.380616 | − | 0.981002i | 0.0371443 | − | 0.0957360i | ||||
\(106\) | −7.61599 | − | 2.04070i | −0.739730 | − | 0.198210i | ||||
\(107\) | 9.22495 | − | 5.32603i | 0.891810 | − | 0.514886i | 0.0172756 | − | 0.999851i | \(-0.494501\pi\) |
0.874534 | + | 0.484964i | \(0.161167\pi\) | |||||||
\(108\) | 0.327793 | − | 5.18580i | 0.0315419 | − | 0.499004i | ||||
\(109\) | −0.363108 | + | 0.363108i | −0.0347794 | + | 0.0347794i | −0.724283 | − | 0.689503i | \(-0.757829\pi\) |
0.689503 | + | 0.724283i | \(0.257829\pi\) | |||||||
\(110\) | 0.880234 | − | 0.235858i | 0.0839270 | − | 0.0224882i | ||||
\(111\) | −15.2684 | − | 1.66019i | −1.44921 | − | 0.157578i | ||||
\(112\) | −0.707107 | − | 0.707107i | −0.0668153 | − | 0.0668153i | ||||
\(113\) | −13.3023 | − | 7.68008i | −1.25137 | − | 0.722481i | −0.279992 | − | 0.960002i | \(-0.590332\pi\) |
−0.971382 | + | 0.237521i | \(0.923665\pi\) | |||||||
\(114\) | −0.761647 | − | 4.92313i | −0.0713348 | − | 0.461093i | ||||
\(115\) | −0.903279 | + | 3.37108i | −0.0842312 | + | 0.314355i | ||||
\(116\) | 6.39343 | 0.593615 | ||||||||
\(117\) | 8.03267 | + | 7.24404i | 0.742621 | + | 0.669712i | ||||
\(118\) | −12.9456 | −1.19174 | ||||||||
\(119\) | 1.29531 | − | 4.83416i | 0.118741 | − | 0.443147i | ||||
\(120\) | −0.160878 | − | 1.03988i | −0.0146861 | − | 0.0949277i | ||||
\(121\) | −7.57769 | − | 4.37498i | −0.688881 | − | 0.397725i | ||||
\(122\) | 1.24333 | + | 1.24333i | 0.112566 | + | 0.112566i | ||||
\(123\) | 6.47423 | + | 0.703967i | 0.583761 | + | 0.0634746i | ||||
\(124\) | −3.91465 | + | 1.04893i | −0.351546 | + | 0.0941965i | ||||
\(125\) | −4.13725 | + | 4.13725i | −0.370047 | + | 0.370047i | ||||
\(126\) | −0.906550 | − | 2.85975i | −0.0807619 | − | 0.254767i | ||||
\(127\) | 9.14243 | − | 5.27839i | 0.811260 | − | 0.468381i | −0.0361335 | − | 0.999347i | \(-0.511504\pi\) |
0.847393 | + | 0.530966i | \(0.178171\pi\) | |||||||
\(128\) | −0.965926 | − | 0.258819i | −0.0853766 | − | 0.0228766i | ||||
\(129\) | 6.76605 | − | 17.4388i | 0.595717 | − | 1.53540i | ||||
\(130\) | 1.90394 | + | 1.08307i | 0.166986 | + | 0.0949912i | ||||
\(131\) | 12.2294i | 1.06848i | 0.845331 | + | 0.534242i | \(0.179403\pi\) | ||||
−0.845331 | + | 0.534242i | \(0.820597\pi\) | |||||||
\(132\) | 1.53466 | − | 2.09641i | 0.133575 | − | 0.182469i | ||||
\(133\) | −1.43809 | − | 2.49085i | −0.124698 | − | 0.215984i | ||||
\(134\) | −5.54740 | + | 9.60838i | −0.479222 | + | 0.830037i | ||||
\(135\) | 1.00776 | − | 2.99158i | 0.0867338 | − | 0.257474i | ||||
\(136\) | −1.29531 | − | 4.83416i | −0.111072 | − | 0.414526i | ||||
\(137\) | −4.39879 | − | 16.4165i | −0.375814 | − | 1.40256i | −0.852151 | − | 0.523295i | \(-0.824703\pi\) |
0.476337 | − | 0.879263i | \(-0.341964\pi\) | |||||||
\(138\) | 4.01442 | + | 9.10433i | 0.341730 | + | 0.775012i | ||||
\(139\) | −3.35001 | + | 5.80239i | −0.284144 | + | 0.492152i | −0.972401 | − | 0.233315i | \(-0.925043\pi\) |
0.688257 | + | 0.725467i | \(0.258376\pi\) | |||||||
\(140\) | −0.303759 | − | 0.526126i | −0.0256723 | − | 0.0444658i | ||||
\(141\) | 14.0431 | + | 10.2801i | 1.18264 | + | 0.865739i | ||||
\(142\) | − | 5.74387i | − | 0.482015i | ||||||
\(143\) | 1.43317 | + | 5.21503i | 0.119847 | + | 0.436103i | ||||
\(144\) | −2.21497 | − | 2.02334i | −0.184581 | − | 0.168612i | ||||
\(145\) | 3.75178 | + | 1.00529i | 0.311568 | + | 0.0834844i | ||||
\(146\) | −13.2997 | + | 7.67859i | −1.10069 | + | 0.635484i | ||||
\(147\) | −1.08518 | − | 1.34996i | −0.0895039 | − | 0.111343i | ||||
\(148\) | −6.27003 | + | 6.27003i | −0.515393 | + | 0.515393i | ||||
\(149\) | 20.1156 | − | 5.38997i | 1.64794 | − | 0.441564i | 0.688904 | − | 0.724853i | \(-0.258092\pi\) |
0.959034 | + | 0.283289i | \(0.0914257\pi\) | |||||||
\(150\) | −0.867043 | + | 7.97399i | −0.0707938 | + | 0.651074i | ||||
\(151\) | 1.83850 | + | 1.83850i | 0.149615 | + | 0.149615i | 0.777946 | − | 0.628331i | \(-0.216262\pi\) |
−0.628331 | + | 0.777946i | \(0.716262\pi\) | |||||||
\(152\) | −2.49085 | − | 1.43809i | −0.202034 | − | 0.116645i | ||||
\(153\) | 3.22692 | − | 14.6632i | 0.260881 | − | 1.18545i | ||||
\(154\) | 0.388232 | − | 1.44890i | 0.0312846 | − | 0.116756i | ||||
\(155\) | −2.46212 | −0.197762 | ||||||||
\(156\) | 6.16535 | − | 0.994236i | 0.493623 | − | 0.0796026i | ||||
\(157\) | 20.5606 | 1.64092 | 0.820459 | − | 0.571706i | \(-0.193718\pi\) | ||||
0.820459 | + | 0.571706i | \(0.193718\pi\) | |||||||
\(158\) | 0.953587 | − | 3.55883i | 0.0758633 | − | 0.283126i | ||||
\(159\) | −13.4961 | + | 2.08795i | −1.07031 | + | 0.165585i | ||||
\(160\) | −0.526126 | − | 0.303759i | −0.0415939 | − | 0.0240143i | ||||
\(161\) | 4.06211 | + | 4.06211i | 0.320139 | + | 0.320139i | ||||
\(162\) | −3.10437 | − | 8.44765i | −0.243903 | − | 0.663710i | ||||
\(163\) | −6.48922 | + | 1.73878i | −0.508275 | + | 0.136192i | −0.503838 | − | 0.863798i | \(-0.668079\pi\) |
−0.00443696 | + | 0.999990i | \(0.501412\pi\) | |||||||
\(164\) | 2.65867 | − | 2.65867i | 0.207607 | − | 0.207607i | ||||
\(165\) | 1.23020 | − | 0.988907i | 0.0957708 | − | 0.0769863i | ||||
\(166\) | 6.31471 | − | 3.64580i | 0.490116 | − | 0.282969i | ||||
\(167\) | 6.75418 | + | 1.80978i | 0.522654 | + | 0.140045i | 0.510494 | − | 0.859881i | \(-0.329463\pi\) |
0.0121601 | + | 0.999926i | \(0.496129\pi\) | |||||||
\(168\) | −1.61477 | − | 0.626510i | −0.124582 | − | 0.0483363i | ||||
\(169\) | −6.35549 | + | 11.3405i | −0.488884 | + | 0.872349i | ||||
\(170\) | − | 3.04044i | − | 0.233191i | ||||||
\(171\) | −4.64739 | − | 7.27006i | −0.355395 | − | 0.555955i | ||||
\(172\) | −5.39979 | − | 9.35271i | −0.411730 | − | 0.713138i | ||||
\(173\) | −4.19368 | + | 7.26366i | −0.318839 | + | 0.552246i | −0.980246 | − | 0.197781i | \(-0.936626\pi\) |
0.661407 | + | 0.750027i | \(0.269960\pi\) | |||||||
\(174\) | 10.1325 | − | 4.46777i | 0.768141 | − | 0.338701i | ||||
\(175\) | 1.19857 | + | 4.47313i | 0.0906034 | + | 0.338137i | ||||
\(176\) | −0.388232 | − | 1.44890i | −0.0292641 | − | 0.109215i | ||||
\(177\) | −20.5165 | + | 9.04647i | −1.54212 | + | 0.679974i | ||||
\(178\) | −3.40106 | + | 5.89081i | −0.254920 | + | 0.441535i | ||||
\(179\) | 8.32290 | + | 14.4157i | 0.622083 | + | 1.07748i | 0.989097 | + | 0.147264i | \(0.0470465\pi\) |
−0.367015 | + | 0.930215i | \(0.619620\pi\) | |||||||
\(180\) | −0.981638 | − | 1.53561i | −0.0731670 | − | 0.114457i | ||||
\(181\) | 4.99273i | 0.371106i | 0.982634 | + | 0.185553i | \(0.0594077\pi\) | ||||
−0.982634 | + | 0.185553i | \(0.940592\pi\) | |||||||
\(182\) | 3.11091 | − | 1.82271i | 0.230596 | − | 0.135108i | ||||
\(183\) | 2.83931 | + | 1.10162i | 0.209888 | + | 0.0814338i | ||||
\(184\) | 5.54895 | + | 1.48684i | 0.409074 | + | 0.109611i | ||||
\(185\) | −4.66524 | + | 2.69348i | −0.342996 | + | 0.198029i | ||||
\(186\) | −5.47104 | + | 4.39795i | −0.401156 | + | 0.322473i | ||||
\(187\) | 5.30832 | − | 5.30832i | 0.388183 | − | 0.388183i | ||||
\(188\) | 9.70563 | − | 2.60062i | 0.707856 | − | 0.189669i | ||||
\(189\) | −3.43513 | − | 3.89870i | −0.249869 | − | 0.283589i | ||||
\(190\) | −1.23555 | − | 1.23555i | −0.0896363 | − | 0.0896363i | ||||
\(191\) | −0.216953 | − | 0.125258i | −0.0156981 | − | 0.00906332i | 0.492130 | − | 0.870521i | \(-0.336218\pi\) |
−0.507829 | + | 0.861458i | \(0.669552\pi\) | |||||||
\(192\) | −1.71169 | + | 0.264812i | −0.123530 | + | 0.0191111i | ||||
\(193\) | 2.68125 | − | 10.0066i | 0.193001 | − | 0.720288i | −0.799775 | − | 0.600300i | \(-0.795048\pi\) |
0.992775 | − | 0.119988i | \(-0.0382856\pi\) | |||||||
\(194\) | −3.03303 | −0.217759 | ||||||||
\(195\) | 3.77426 | + | 0.385987i | 0.270281 | + | 0.0276411i | ||||
\(196\) | −1.00000 | −0.0714286 | ||||||||
\(197\) | 2.69377 | − | 10.0533i | 0.191923 | − | 0.716267i | −0.801119 | − | 0.598505i | \(-0.795762\pi\) |
0.993042 | − | 0.117761i | \(-0.0375718\pi\) | |||||||
\(198\) | 0.967179 | − | 4.39488i | 0.0687344 | − | 0.312330i | ||||
\(199\) | −2.17443 | − | 1.25541i | −0.154141 | − | 0.0889936i | 0.420945 | − | 0.907086i | \(-0.361698\pi\) |
−0.575087 | + | 0.818092i | \(0.695032\pi\) | |||||||
\(200\) | 3.27456 | + | 3.27456i | 0.231546 | + | 0.231546i | ||||
\(201\) | −2.07727 | + | 19.1042i | −0.146519 | + | 1.34750i | ||||
\(202\) | −4.93139 | + | 1.32136i | −0.346971 | + | 0.0929706i | ||||
\(203\) | 4.52084 | − | 4.52084i | 0.317301 | − | 0.317301i | ||||
\(204\) | −5.43098 | − | 6.75613i | −0.380244 | − | 0.473023i | ||||
\(205\) | 1.97820 | − | 1.14211i | 0.138163 | − | 0.0797685i | ||||
\(206\) | −5.69223 | − | 1.52523i | −0.396597 | − | 0.106268i | ||||
\(207\) | 12.7243 | + | 11.6235i | 0.884401 | + | 0.807887i | ||||
\(208\) | 1.78277 | − | 3.13396i | 0.123613 | − | 0.217301i | ||||
\(209\) | − | 4.31432i | − | 0.298428i | ||||||
\(210\) | −0.849065 | − | 0.621549i | −0.0585910 | − | 0.0428910i | ||||
\(211\) | 11.0701 | + | 19.1740i | 0.762097 | + | 1.31999i | 0.941768 | + | 0.336263i | \(0.109163\pi\) |
−0.179671 | + | 0.983727i | \(0.557503\pi\) | |||||||
\(212\) | −3.94233 | + | 6.82831i | −0.270760 | + | 0.468970i | ||||
\(213\) | −4.01385 | − | 9.10303i | −0.275024 | − | 0.623729i | ||||
\(214\) | −2.75695 | − | 10.2891i | −0.188462 | − | 0.703348i | ||||
\(215\) | −1.69810 | − | 6.33738i | −0.115809 | − | 0.432206i | ||||
\(216\) | −4.92426 | − | 1.65881i | −0.335054 | − | 0.112868i | ||||
\(217\) | −2.02637 | + | 3.50978i | −0.137559 | + | 0.238259i | ||||
\(218\) | 0.256756 | + | 0.444715i | 0.0173897 | + | 0.0301199i | ||||
\(219\) | −15.7119 | + | 21.4631i | −1.06171 | + | 1.45034i | ||||
\(220\) | − | 0.911286i | − | 0.0614389i | ||||||
\(221\) | 18.0443 | − | 0.115384i | 1.21379 | − | 0.00776156i | ||||
\(222\) | −5.55537 | + | 14.3184i | −0.372852 | + | 0.960990i | ||||
\(223\) | 9.49542 | + | 2.54429i | 0.635860 | + | 0.170378i | 0.562328 | − | 0.826914i | \(-0.309906\pi\) |
0.0735328 | + | 0.997293i | \(0.476573\pi\) | |||||||
\(224\) | −0.866025 | + | 0.500000i | −0.0578638 | + | 0.0334077i | ||||
\(225\) | 4.19816 | + | 13.2433i | 0.279877 | + | 0.882885i | ||||
\(226\) | −10.8613 | + | 10.8613i | −0.722481 | + | 0.722481i | ||||
\(227\) | −5.59370 | + | 1.49883i | −0.371267 | + | 0.0994807i | −0.439628 | − | 0.898180i | \(-0.644890\pi\) |
0.0683609 | + | 0.997661i | \(0.478223\pi\) | |||||||
\(228\) | −4.95251 | − | 0.538505i | −0.327988 | − | 0.0356634i | ||||
\(229\) | 1.44073 | + | 1.44073i | 0.0952059 | + | 0.0952059i | 0.753106 | − | 0.657900i | \(-0.228555\pi\) |
−0.657900 | + | 0.753106i | \(0.728555\pi\) | |||||||
\(230\) | 3.02243 | + | 1.74500i | 0.199293 | + | 0.115062i | ||||
\(231\) | −0.397221 | − | 2.56756i | −0.0261352 | − | 0.168933i | ||||
\(232\) | 1.65474 | − | 6.17558i | 0.108639 | − | 0.405447i | ||||
\(233\) | 12.7341 | 0.834241 | 0.417120 | − | 0.908851i | \(-0.363039\pi\) | ||||
0.417120 | + | 0.908851i | \(0.363039\pi\) | |||||||
\(234\) | 9.07622 | − | 5.88407i | 0.593331 | − | 0.384654i | ||||
\(235\) | 6.10435 | 0.398204 | ||||||||
\(236\) | −3.35057 | + | 12.5045i | −0.218104 | + | 0.813974i | ||||
\(237\) | −0.975666 | − | 6.30650i | −0.0633763 | − | 0.409651i | ||||
\(238\) | −4.33419 | − | 2.50234i | −0.280944 | − | 0.162203i | ||||
\(239\) | −13.2419 | − | 13.2419i | −0.856548 | − | 0.856548i | 0.134382 | − | 0.990930i | \(-0.457095\pi\) |
−0.990930 | + | 0.134382i | \(0.957095\pi\) | |||||||
\(240\) | −1.04609 | − | 0.113745i | −0.0675246 | − | 0.00734221i | ||||
\(241\) | −15.6813 | + | 4.20178i | −1.01012 | + | 0.270661i | −0.725679 | − | 0.688033i | \(-0.758474\pi\) |
−0.284440 | + | 0.958694i | \(0.591808\pi\) | |||||||
\(242\) | −6.18715 | + | 6.18715i | −0.397725 | + | 0.397725i | ||||
\(243\) | −10.8232 | − | 11.2187i | −0.694306 | − | 0.719680i | ||||
\(244\) | 1.52276 | − | 0.879168i | 0.0974850 | − | 0.0562830i | ||||
\(245\) | −0.586817 | − | 0.157237i | −0.0374904 | − | 0.0100455i | ||||
\(246\) | 2.35563 | − | 6.07142i | 0.150190 | − | 0.387100i | ||||
\(247\) | 7.28582 | − | 7.37960i | 0.463586 | − | 0.469553i | ||||
\(248\) | 4.05275i | 0.257350i | ||||||||
\(249\) | 7.46000 | − | 10.1907i | 0.472758 | − | 0.645810i | ||||
\(250\) | 2.92548 | + | 5.06708i | 0.185024 | + | 0.320470i | ||||
\(251\) | −0.537453 | + | 0.930896i | −0.0339237 | + | 0.0587576i | −0.882489 | − | 0.470333i | \(-0.844134\pi\) |
0.848565 | + | 0.529091i | \(0.177467\pi\) | |||||||
\(252\) | −2.99694 | + | 0.135502i | −0.188789 | + | 0.00853582i | ||||
\(253\) | 2.23027 | + | 8.32350i | 0.140216 | + | 0.523294i | ||||
\(254\) | −2.73229 | − | 10.1971i | −0.171439 | − | 0.639820i | ||||
\(255\) | −2.12468 | − | 4.81856i | −0.133052 | − | 0.301750i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 10.8936 | + | 18.8683i | 0.679524 | + | 1.17697i | 0.975125 | + | 0.221658i | \(0.0711468\pi\) |
−0.295601 | + | 0.955312i | \(0.595520\pi\) | |||||||
\(258\) | −15.0935 | − | 11.0490i | −0.939677 | − | 0.687881i | ||||
\(259\) | 8.86716i | 0.550978i | ||||||||
\(260\) | 1.53894 | − | 1.55875i | 0.0954408 | − | 0.0966693i | ||||
\(261\) | 12.9361 | − | 14.1613i | 0.800724 | − | 0.876560i | ||||
\(262\) | 11.8127 | + | 3.16519i | 0.729789 | + | 0.195546i | ||||
\(263\) | −7.39268 | + | 4.26816i | −0.455852 | + | 0.263186i | −0.710298 | − | 0.703901i | \(-0.751440\pi\) |
0.254447 | + | 0.967087i | \(0.418107\pi\) | |||||||
\(264\) | −1.62778 | − | 2.02496i | −0.100183 | − | 0.124628i | ||||
\(265\) | −3.38709 | + | 3.38709i | −0.208067 | + | 0.208067i | ||||
\(266\) | −2.77818 | + | 0.744411i | −0.170341 | + | 0.0456428i | ||||
\(267\) | −1.27355 | + | 11.7126i | −0.0779403 | + | 0.716799i | ||||
\(268\) | 7.84521 | + | 7.84521i | 0.479222 | + | 0.479222i | ||||
\(269\) | −13.8882 | − | 8.01838i | −0.846782 | − | 0.488890i | 0.0127821 | − | 0.999918i | \(-0.495931\pi\) |
−0.859564 | + | 0.511029i | \(0.829265\pi\) | |||||||
\(270\) | −2.62882 | − | 1.74769i | −0.159985 | − | 0.106361i | ||||
\(271\) | −2.03506 | + | 7.59496i | −0.123621 | + | 0.461361i | −0.999787 | − | 0.0206495i | \(-0.993427\pi\) |
0.876165 | + | 0.482010i | \(0.160093\pi\) | |||||||
\(272\) | −5.00469 | −0.303454 | ||||||||
\(273\) | 3.65653 | − | 5.06259i | 0.221303 | − | 0.306402i | ||||
\(274\) | −16.9956 | −1.02674 | ||||||||
\(275\) | −1.79787 | + | 6.70975i | −0.108416 | + | 0.404613i | ||||
\(276\) | 9.83312 | − | 1.52126i | 0.591884 | − | 0.0915691i | ||||
\(277\) | 16.7024 | + | 9.64316i | 1.00355 | + | 0.579401i | 0.909297 | − | 0.416147i | \(-0.136620\pi\) |
0.0942548 | + | 0.995548i | \(0.469953\pi\) | |||||||
\(278\) | 4.73763 | + | 4.73763i | 0.284144 | + | 0.284144i | ||||
\(279\) | −5.59733 | + | 10.7932i | −0.335104 | + | 0.646170i | ||||
\(280\) | −0.586817 | + | 0.157237i | −0.0350690 | + | 0.00939672i | ||||
\(281\) | −16.0700 | + | 16.0700i | −0.958654 | + | 0.958654i | −0.999179 | − | 0.0405247i | \(-0.987097\pi\) |
0.0405247 | + | 0.999179i | \(0.487097\pi\) | |||||||
\(282\) | 13.5644 | − | 10.9039i | 0.807748 | − | 0.649316i | ||||
\(283\) | −12.6510 | + | 7.30408i | −0.752026 | + | 0.434182i | −0.826426 | − | 0.563046i | \(-0.809629\pi\) |
0.0743994 | + | 0.997229i | \(0.476296\pi\) | |||||||
\(284\) | −5.54815 | − | 1.48662i | −0.329222 | − | 0.0882148i | ||||
\(285\) | −2.82154 | − | 1.09472i | −0.167134 | − | 0.0648458i | ||||
\(286\) | 5.40827 | − | 0.0345831i | 0.319798 | − | 0.00204494i | ||||
\(287\) | − | 3.75993i | − | 0.221941i | ||||||
\(288\) | −2.52767 | + | 1.61582i | −0.148945 | + | 0.0952129i | ||||
\(289\) | −4.02345 | − | 6.96883i | −0.236674 | − | 0.409931i | ||||
\(290\) | 1.94206 | − | 3.36375i | 0.114042 | − | 0.197526i | ||||
\(291\) | −4.80682 | + | 2.11950i | −0.281781 | + | 0.124247i | ||||
\(292\) | 3.97473 | + | 14.8339i | 0.232603 | + | 0.868088i | ||||
\(293\) | −2.19074 | − | 8.17594i | −0.127984 | − | 0.477643i | 0.871944 | − | 0.489605i | \(-0.162859\pi\) |
−0.999928 | + | 0.0119617i | \(0.996192\pi\) | |||||||
\(294\) | −1.58483 | + | 0.698806i | −0.0924289 | + | 0.0407552i | ||||
\(295\) | −3.93235 | + | 6.81102i | −0.228950 | + | 0.396553i | ||||
\(296\) | 4.43358 | + | 7.67919i | 0.257697 | + | 0.446344i | ||||
\(297\) | −1.53836 | − | 7.64098i | −0.0892645 | − | 0.443375i | ||||
\(298\) | − | 20.8253i | − | 1.20637i | ||||||
\(299\) | −10.2415 | + | 18.0036i | −0.592280 | + | 1.04118i | ||||
\(300\) | 7.47788 | + | 2.90132i | 0.431735 | + | 0.167508i | ||||
\(301\) | −10.4316 | − | 2.79514i | −0.601267 | − | 0.161109i | ||||
\(302\) | 2.25169 | − | 1.30001i | 0.129570 | − | 0.0748073i | ||||
\(303\) | −6.89201 | + | 5.54021i | −0.395936 | + | 0.318277i | ||||
\(304\) | −2.03377 | + | 2.03377i | −0.116645 | + | 0.116645i | ||||
\(305\) | 1.03182 | − | 0.276476i | 0.0590820 | − | 0.0158310i | ||||
\(306\) | −13.3284 | − | 6.91208i | −0.761932 | − | 0.395137i | ||||
\(307\) | 5.74908 | + | 5.74908i | 0.328117 | + | 0.328117i | 0.851870 | − | 0.523753i | \(-0.175469\pi\) |
−0.523753 | + | 0.851870i | \(0.675469\pi\) | |||||||
\(308\) | −1.29905 | − | 0.750007i | −0.0740203 | − | 0.0427356i | ||||
\(309\) | −10.0870 | + | 1.56054i | −0.573831 | + | 0.0887762i | ||||
\(310\) | −0.637243 | + | 2.37822i | −0.0361929 | + | 0.135074i | ||||
\(311\) | 26.7307 | 1.51576 | 0.757879 | − | 0.652395i | \(-0.226236\pi\) | ||||
0.757879 | + | 0.652395i | \(0.226236\pi\) | |||||||
\(312\) | 0.635351 | − | 6.21259i | 0.0359697 | − | 0.351719i | ||||
\(313\) | 16.9273 | 0.956789 | 0.478395 | − | 0.878145i | \(-0.341219\pi\) | ||||
0.478395 | + | 0.878145i | \(0.341219\pi\) | |||||||
\(314\) | 5.32148 | − | 19.8601i | 0.300309 | − | 1.12077i | ||||
\(315\) | −1.77996 | − | 0.391715i | −0.100289 | − | 0.0220707i | ||||
\(316\) | −3.19076 | − | 1.84219i | −0.179494 | − | 0.103631i | ||||
\(317\) | 5.59592 | + | 5.59592i | 0.314298 | + | 0.314298i | 0.846572 | − | 0.532274i | \(-0.178662\pi\) |
−0.532274 | + | 0.846572i | \(0.678662\pi\) | |||||||
\(318\) | −1.47624 | + | 13.5766i | −0.0827832 | + | 0.761338i | ||||
\(319\) | 9.26346 | − | 2.48214i | 0.518654 | − | 0.138973i | ||||
\(320\) | −0.429580 | + | 0.429580i | −0.0240143 | + | 0.0240143i | ||||
\(321\) | −11.5594 | − | 14.3798i | −0.645181 | − | 0.802604i | ||||
\(322\) | 4.97505 | − | 2.87235i | 0.277249 | − | 0.160070i | ||||
\(323\) | −13.9039 | − | 3.72555i | −0.773635 | − | 0.207295i | ||||
\(324\) | −8.96328 | + | 0.812182i | −0.497960 | + | 0.0451212i | ||||
\(325\) | −14.4064 | + | 8.44081i | −0.799122 | + | 0.468212i | ||||
\(326\) | 6.71813i | 0.372083i | ||||||||
\(327\) | 0.717683 | + | 0.525372i | 0.0396879 | + | 0.0290532i | ||||
\(328\) | −1.87996 | − | 3.25619i | −0.103804 | − | 0.179793i | ||||
\(329\) | 5.02400 | − | 8.70183i | 0.276982 | − | 0.479747i | ||||
\(330\) | −0.636812 | − | 1.44423i | −0.0350553 | − | 0.0795021i | ||||
\(331\) | −5.58301 | − | 20.8361i | −0.306870 | − | 1.14525i | −0.931324 | − | 0.364193i | \(-0.881345\pi\) |
0.624454 | − | 0.781062i | \(-0.285322\pi\) | |||||||
\(332\) | −1.88720 | − | 7.04314i | −0.103574 | − | 0.386543i | ||||
\(333\) | 1.20152 | + | 26.5743i | 0.0658428 | + | 1.45626i | ||||
\(334\) | 3.49622 | − | 6.05563i | 0.191305 | − | 0.331349i | ||||
\(335\) | 3.37015 | + | 5.83726i | 0.184131 | + | 0.318924i | ||||
\(336\) | −1.02310 | + | 1.39760i | −0.0558145 | + | 0.0762451i | ||||
\(337\) | − | 26.6748i | − | 1.45307i | −0.687129 | − | 0.726535i | \(-0.741129\pi\) | ||
0.687129 | − | 0.726535i | \(-0.258871\pi\) | |||||||
\(338\) | 9.30919 | + | 9.07408i | 0.506353 | + | 0.493565i | ||||
\(339\) | −9.62330 | + | 24.8031i | −0.522666 | + | 1.34712i | ||||
\(340\) | −2.93684 | − | 0.786923i | −0.159272 | − | 0.0426769i | ||||
\(341\) | −5.26472 | + | 3.03959i | −0.285101 | + | 0.164603i | ||||
\(342\) | −8.22517 | + | 2.60740i | −0.444766 | + | 0.140992i | ||||
\(343\) | −0.707107 | + | 0.707107i | −0.0381802 | + | 0.0381802i | ||||
\(344\) | −10.4316 | + | 2.79514i | −0.562434 | + | 0.150704i | ||||
\(345\) | 6.00944 | + | 0.653430i | 0.323537 | + | 0.0351795i | ||||
\(346\) | 5.93075 | + | 5.93075i | 0.318839 | + | 0.318839i | ||||
\(347\) | 11.0636 | + | 6.38760i | 0.593928 | + | 0.342904i | 0.766649 | − | 0.642066i | \(-0.221923\pi\) |
−0.172721 | + | 0.984971i | \(0.555256\pi\) | |||||||
\(348\) | −1.69306 | − | 10.9436i | −0.0907573 | − | 0.586636i | ||||
\(349\) | −7.64398 | + | 28.5277i | −0.409173 | + | 1.52705i | 0.387054 | + | 0.922057i | \(0.373493\pi\) |
−0.796227 | + | 0.604997i | \(0.793174\pi\) | |||||||
\(350\) | 4.63092 | 0.247533 | ||||||||
\(351\) | 10.2724 | − | 15.6677i | 0.548300 | − | 0.836282i | ||||
\(352\) | −1.50001 | −0.0799510 | ||||||||
\(353\) | −5.52047 | + | 20.6027i | −0.293825 | + | 1.09657i | 0.648321 | + | 0.761367i | \(0.275472\pi\) |
−0.942146 | + | 0.335203i | \(0.891195\pi\) | |||||||
\(354\) | 3.42815 | + | 22.1588i | 0.182204 | + | 1.17773i | ||||
\(355\) | −3.02200 | − | 1.74475i | −0.160391 | − | 0.0926018i | ||||
\(356\) | 4.80983 | + | 4.80983i | 0.254920 | + | 0.254920i | ||||
\(357\) | −8.61758 | − | 0.937023i | −0.456091 | − | 0.0495925i | ||||
\(358\) | 16.0786 | − | 4.30825i | 0.849781 | − | 0.227698i | ||||
\(359\) | −6.63087 | + | 6.63087i | −0.349964 | + | 0.349964i | −0.860096 | − | 0.510132i | \(-0.829597\pi\) |
0.510132 | + | 0.860096i | \(0.329597\pi\) | |||||||
\(360\) | −1.73735 | + | 0.550745i | −0.0915664 | + | 0.0290268i | ||||
\(361\) | 9.29034 | − | 5.36378i | 0.488965 | − | 0.282304i | ||||
\(362\) | 4.82260 | + | 1.29221i | 0.253470 | + | 0.0679172i | ||||
\(363\) | −5.48194 | + | 14.1292i | −0.287727 | + | 0.741589i | ||||
\(364\) | −0.955436 | − | 3.47666i | −0.0500784 | − | 0.182226i | ||||
\(365\) | 9.32976i | 0.488342i | ||||||||
\(366\) | 1.79895 | − | 2.45744i | 0.0940325 | − | 0.128453i | ||||
\(367\) | 2.21303 | + | 3.83308i | 0.115519 | + | 0.200085i | 0.917987 | − | 0.396610i | \(-0.129814\pi\) |
−0.802468 | + | 0.596695i | \(0.796480\pi\) | |||||||
\(368\) | 2.87235 | − | 4.97505i | 0.149731 | − | 0.259342i | ||||
\(369\) | −0.509477 | − | 11.2683i | −0.0265223 | − | 0.586603i | ||||
\(370\) | 1.39425 | + | 5.20340i | 0.0724835 | + | 0.270512i | ||||
\(371\) | 2.04070 | + | 7.61599i | 0.105948 | + | 0.395403i | ||||
\(372\) | 2.83208 | + | 6.42289i | 0.146837 | + | 0.333012i | ||||
\(373\) | 9.33873 | − | 16.1752i | 0.483541 | − | 0.837518i | −0.516280 | − | 0.856420i | \(-0.672684\pi\) |
0.999821 | + | 0.0189019i | \(0.00601701\pi\) | |||||||
\(374\) | −3.75355 | − | 6.50134i | −0.194092 | − | 0.336176i | ||||
\(375\) | 8.17728 | + | 5.98609i | 0.422273 | + | 0.309120i | ||||
\(376\) | − | 10.0480i | − | 0.518186i | ||||||
\(377\) | 20.0368 | + | 11.3980i | 1.03195 | + | 0.587029i | ||||
\(378\) | −4.65493 | + | 2.30902i | −0.239424 | + | 0.118763i | ||||
\(379\) | −28.2454 | − | 7.56834i | −1.45087 | − | 0.388759i | −0.554544 | − | 0.832154i | \(-0.687107\pi\) |
−0.896326 | + | 0.443395i | \(0.853774\pi\) | |||||||
\(380\) | −1.51324 | + | 0.873667i | −0.0776273 | + | 0.0448182i | ||||
\(381\) | −11.4560 | − | 14.2512i | −0.586907 | − | 0.730112i | ||||
\(382\) | −0.177141 | + | 0.177141i | −0.00906332 | + | 0.00906332i | ||||
\(383\) | 22.1048 | − | 5.92296i | 1.12950 | − | 0.302649i | 0.354779 | − | 0.934950i | \(-0.384556\pi\) |
0.774723 | + | 0.632301i | \(0.217889\pi\) | |||||||
\(384\) | −0.187229 | + | 1.72190i | −0.00955449 | + | 0.0878704i | ||||
\(385\) | −0.644376 | − | 0.644376i | −0.0328405 | − | 0.0328405i | ||||
\(386\) | −8.97164 | − | 5.17978i | −0.456645 | − | 0.263644i | ||||
\(387\) | −31.6416 | − | 6.96335i | −1.60843 | − | 0.353967i | ||||
\(388\) | −0.785006 | + | 2.92968i | −0.0398526 | + | 0.148732i | ||||
\(389\) | −6.65640 | −0.337493 | −0.168746 | − | 0.985659i | \(-0.553972\pi\) | ||||
−0.168746 | + | 0.985659i | \(0.553972\pi\) | |||||||
\(390\) | 1.34969 | − | 3.54576i | 0.0683440 | − | 0.179546i | ||||
\(391\) | 28.7504 | 1.45397 | ||||||||
\(392\) | −0.258819 | + | 0.965926i | −0.0130723 | + | 0.0487866i | ||||
\(393\) | 20.9329 | − | 3.23848i | 1.05592 | − | 0.163360i | ||||
\(394\) | −9.01352 | − | 5.20396i | −0.454095 | − | 0.262172i | ||||
\(395\) | −1.58273 | − | 1.58273i | −0.0796360 | − | 0.0796360i | ||||
\(396\) | −3.99480 | − | 2.07170i | −0.200746 | − | 0.104107i | ||||
\(397\) | −20.0004 | + | 5.35909i | −1.00379 | + | 0.268965i | −0.723033 | − | 0.690814i | \(-0.757253\pi\) |
−0.280758 | + | 0.959779i | \(0.590586\pi\) | |||||||
\(398\) | −1.77542 | + | 1.77542i | −0.0889936 | + | 0.0889936i | ||||
\(399\) | −3.88273 | + | 3.12117i | −0.194380 | + | 0.156254i | ||||
\(400\) | 4.01050 | − | 2.31546i | 0.200525 | − | 0.115773i | ||||
\(401\) | −22.2943 | − | 5.97375i | −1.11333 | − | 0.298315i | −0.345146 | − | 0.938549i | \(-0.612171\pi\) |
−0.768180 | + | 0.640234i | \(0.778837\pi\) | |||||||
\(402\) | 17.9156 | + | 6.95101i | 0.893547 | + | 0.346685i | ||||
\(403\) | −14.1384 | − | 3.69163i | −0.704283 | − | 0.183893i | ||||
\(404\) | 5.10535i | 0.254001i | ||||||||
\(405\) | −5.38751 | − | 0.932759i | −0.267708 | − | 0.0463491i | ||||
\(406\) | −3.19672 | − | 5.53687i | −0.158650 | − | 0.274790i | ||||
\(407\) | −6.65043 | + | 11.5189i | −0.329650 | + | 0.570970i | ||||
\(408\) | −7.93156 | + | 3.49731i | −0.392671 | + | 0.173142i | ||||
\(409\) | −6.78397 | − | 25.3181i | −0.335446 | − | 1.25190i | −0.903385 | − | 0.428830i | \(-0.858926\pi\) |
0.567940 | − | 0.823070i | \(-0.307741\pi\) | |||||||
\(410\) | −0.591201 | − | 2.20639i | −0.0291973 | − | 0.108966i | ||||
\(411\) | −26.9351 | + | 11.8766i | −1.32861 | + | 0.585832i | ||||
\(412\) | −2.94652 | + | 5.10352i | −0.145164 | + | 0.251432i | ||||
\(413\) | 6.47281 | + | 11.2112i | 0.318506 | + | 0.551669i | ||||
\(414\) | 14.5207 | − | 9.28237i | 0.713654 | − | 0.456204i | ||||
\(415\) | − | 4.42978i | − | 0.217449i | ||||||
\(416\) | −2.56576 | − | 2.53316i | −0.125797 | − | 0.124198i | ||||
\(417\) | 10.8190 | + | 4.19763i | 0.529808 | + | 0.205559i | ||||
\(418\) | −4.16731 | − | 1.11663i | −0.203830 | − | 0.0546160i | ||||
\(419\) | 16.6593 | − | 9.61826i | 0.813860 | − | 0.469883i | −0.0344342 | − | 0.999407i | \(-0.510963\pi\) |
0.848295 | + | 0.529524i | \(0.177630\pi\) | |||||||
\(420\) | −0.820125 | + | 0.659265i | −0.0400180 | + | 0.0321688i | ||||
\(421\) | 6.20540 | − | 6.20540i | 0.302433 | − | 0.302433i | −0.539532 | − | 0.841965i | \(-0.681399\pi\) |
0.841965 | + | 0.539532i | \(0.181399\pi\) | |||||||
\(422\) | 21.3858 | − | 5.73030i | 1.04104 | − | 0.278947i | ||||
\(423\) | 13.8775 | − | 26.7596i | 0.674748 | − | 1.30110i | ||||
\(424\) | 5.57529 | + | 5.57529i | 0.270760 | + | 0.270760i | ||||
\(425\) | 20.0713 | + | 11.5882i | 0.973600 | + | 0.562108i | ||||
\(426\) | −9.83171 | + | 1.52104i | −0.476348 | + | 0.0736948i | ||||
\(427\) | 0.455091 | − | 1.69842i | 0.0220234 | − | 0.0821924i | ||||
\(428\) | −10.6521 | −0.514886 | ||||||||
\(429\) | 8.54699 | − | 3.83414i | 0.412653 | − | 0.185114i | ||||
\(430\) | −6.56094 | −0.316397 | ||||||||
\(431\) | 1.96096 | − | 7.31839i | 0.0944559 | − | 0.352514i | −0.902480 | − | 0.430731i | \(-0.858256\pi\) |
0.996936 | + | 0.0782165i | \(0.0249225\pi\) | |||||||
\(432\) | −2.87678 | + | 4.32714i | −0.138409 | + | 0.208190i | ||||
\(433\) | 3.29167 | + | 1.90044i | 0.158187 | + | 0.0913295i | 0.577004 | − | 0.816741i | \(-0.304222\pi\) |
−0.418817 | + | 0.908071i | \(0.637555\pi\) | |||||||
\(434\) | 2.86572 | + | 2.86572i | 0.137559 | + | 0.137559i | ||||
\(435\) | 0.727221 | − | 6.68808i | 0.0348676 | − | 0.320669i | ||||
\(436\) | 0.496015 | − | 0.132907i | 0.0237548 | − | 0.00636508i | ||||
\(437\) | 11.6834 | − | 11.6834i | 0.558892 | − | 0.558892i | ||||
\(438\) | 16.6653 | + | 20.7316i | 0.796297 | + | 0.990592i | ||||
\(439\) | 3.83310 | − | 2.21304i | 0.182944 | − | 0.105623i | −0.405731 | − | 0.913992i | \(-0.632983\pi\) |
0.588675 | + | 0.808370i | \(0.299650\pi\) | |||||||
\(440\) | −0.880234 | − | 0.235858i | −0.0419635 | − | 0.0112441i | ||||
\(441\) | −2.02334 | + | 2.21497i | −0.0963496 | + | 0.105475i | ||||
\(442\) | 4.55875 | − | 17.4593i | 0.216838 | − | 0.830455i | ||||
\(443\) | 0.744366i | 0.0353659i | 0.999844 | + | 0.0176829i | \(0.00562895\pi\) | ||||
−0.999844 | + | 0.0176829i | \(0.994371\pi\) | |||||||
\(444\) | 12.3927 | + | 9.07195i | 0.588132 | + | 0.430536i | ||||
\(445\) | 2.06621 | + | 3.57877i | 0.0979476 | + | 0.169650i | ||||
\(446\) | 4.91519 | − | 8.51336i | 0.232741 | − | 0.403119i | ||||
\(447\) | −14.5528 | − | 33.0044i | −0.688324 | − | 1.56105i | ||||
\(448\) | 0.258819 | + | 0.965926i | 0.0122281 | + | 0.0456357i | ||||
\(449\) | −3.55603 | − | 13.2713i | −0.167819 | − | 0.626310i | −0.997664 | − | 0.0683153i | \(-0.978238\pi\) |
0.829845 | − | 0.557995i | \(-0.188429\pi\) | |||||||
\(450\) | 13.8786 | − | 0.627499i | 0.654243 | − | 0.0295806i | ||||
\(451\) | 2.81997 | − | 4.88433i | 0.132787 | − | 0.229994i | ||||
\(452\) | 7.68008 | + | 13.3023i | 0.361241 | + | 0.625687i | ||||
\(453\) | 2.66008 | − | 3.63379i | 0.124981 | − | 0.170730i | ||||
\(454\) | 5.79103i | 0.271786i | ||||||||
\(455\) | −0.0140064 | − | 2.19039i | −0.000656631 | − | 0.102687i | ||||
\(456\) | −1.80196 | + | 4.64438i | −0.0843845 | + | 0.217493i | ||||
\(457\) | 13.1858 | + | 3.53312i | 0.616805 | + | 0.165272i | 0.553675 | − | 0.832733i | \(-0.313225\pi\) |
0.0631300 | + | 0.998005i | \(0.479892\pi\) | |||||||
\(458\) | 1.76452 | − | 1.01875i | 0.0824507 | − | 0.0476029i | ||||
\(459\) | −25.9533 | − | 1.64050i | −1.21140 | − | 0.0765720i | ||||
\(460\) | 2.46780 | − | 2.46780i | 0.115062 | − | 0.115062i | ||||
\(461\) | 18.9023 | − | 5.06487i | 0.880370 | − | 0.235894i | 0.209803 | − | 0.977744i | \(-0.432718\pi\) |
0.670567 | + | 0.741849i | \(0.266051\pi\) | |||||||
\(462\) | −2.58288 | − | 0.280846i | −0.120166 | − | 0.0130661i | ||||
\(463\) | 1.12387 | + | 1.12387i | 0.0522307 | + | 0.0522307i | 0.732740 | − | 0.680509i | \(-0.238241\pi\) |
−0.680509 | + | 0.732740i | \(0.738241\pi\) | |||||||
\(464\) | −5.53687 | − | 3.19672i | −0.257043 | − | 0.148404i | ||||
\(465\) | 0.651997 | + | 4.21437i | 0.0302356 | + | 0.195437i | ||||
\(466\) | 3.29584 | − | 12.3002i | 0.152677 | − | 0.569797i | ||||
\(467\) | 27.6183 | 1.27802 | 0.639011 | − | 0.769198i | \(-0.279344\pi\) | ||||
0.639011 | + | 0.769198i | \(0.279344\pi\) | |||||||
\(468\) | −3.33448 | − | 10.2899i | −0.154136 | − | 0.475649i | ||||
\(469\) | 11.0948 | 0.512310 | ||||||||
\(470\) | 1.57992 | − | 5.89635i | 0.0728763 | − | 0.271978i | ||||
\(471\) | −5.44470 | − | 35.1934i | −0.250878 | − | 1.62163i | ||||
\(472\) | 11.2112 | + | 6.47281i | 0.516039 | + | 0.297935i | ||||
\(473\) | −11.4548 | − | 11.4548i | −0.526692 | − | 0.526692i | ||||
\(474\) | −6.34413 | − | 0.689822i | −0.291396 | − | 0.0316846i | ||||
\(475\) | 12.8655 | − | 3.44731i | 0.590311 | − | 0.158173i | ||||
\(476\) | −3.53885 | + | 3.53885i | −0.162203 | + | 0.162203i | ||||
\(477\) | 7.14783 | + | 22.5481i | 0.327277 | + | 1.03241i | ||||
\(478\) | −16.2180 | + | 9.36344i | −0.741792 | + | 0.428274i | ||||
\(479\) | −39.4326 | − | 10.5659i | −1.80172 | − | 0.482770i | −0.807476 | − | 0.589901i | \(-0.799167\pi\) |
−0.994245 | + | 0.107131i | \(0.965833\pi\) | |||||||
\(480\) | −0.380616 | + | 0.981002i | −0.0173727 | + | 0.0447764i | ||||
\(481\) | −30.8281 | + | 8.47200i | −1.40564 | + | 0.386290i | ||||
\(482\) | 16.2344i | 0.739459i | ||||||||
\(483\) | 5.87737 | − | 8.02876i | 0.267430 | − | 0.365321i | ||||
\(484\) | 4.37498 | + | 7.57769i | 0.198863 | + | 0.344440i | ||||
\(485\) | −0.921310 | + | 1.59576i | −0.0418345 | + | 0.0724595i | ||||
\(486\) | −13.6377 | + | 7.55076i | −0.618617 | + | 0.342509i | ||||
\(487\) | −0.944238 | − | 3.52394i | −0.0427875 | − | 0.159685i | 0.941227 | − | 0.337776i | \(-0.109675\pi\) |
−0.984014 | + | 0.178091i | \(0.943008\pi\) | |||||||
\(488\) | −0.455091 | − | 1.69842i | −0.0206010 | − | 0.0768840i | ||||
\(489\) | 4.69467 | + | 10.6471i | 0.212300 | + | 0.481477i | ||||
\(490\) | −0.303759 | + | 0.526126i | −0.0137224 | + | 0.0237680i | ||||
\(491\) | 12.1442 | + | 21.0344i | 0.548061 | + | 0.949269i | 0.998407 | + | 0.0564153i | \(0.0179671\pi\) |
−0.450347 | + | 0.892854i | \(0.648700\pi\) | |||||||
\(492\) | −5.25486 | − | 3.84677i | −0.236907 | − | 0.173426i | ||||
\(493\) | − | 31.9971i | − | 1.44108i | ||||||
\(494\) | −5.24244 | − | 8.94754i | −0.235868 | − | 0.402569i | ||||
\(495\) | −2.01847 | − | 1.84384i | −0.0907235 | − | 0.0828745i | ||||
\(496\) | 3.91465 | + | 1.04893i | 0.175773 | + | 0.0470983i | ||||
\(497\) | −4.97434 | + | 2.87193i | −0.223129 | + | 0.128824i | ||||
\(498\) | −7.91267 | − | 9.84336i | −0.354575 | − | 0.441091i | ||||
\(499\) | −6.04184 | + | 6.04184i | −0.270470 | + | 0.270470i | −0.829289 | − | 0.558819i | \(-0.811254\pi\) |
0.558819 | + | 0.829289i | \(0.311254\pi\) | |||||||
\(500\) | 5.65159 | − | 1.51434i | 0.252747 | − | 0.0677233i | ||||
\(501\) | 1.30919 | − | 12.0403i | 0.0584902 | − | 0.537921i | ||||
\(502\) | 0.760073 | + | 0.760073i | 0.0339237 | + | 0.0339237i | ||||
\(503\) | −16.7473 | − | 9.66904i | −0.746724 | − | 0.431121i | 0.0777852 | − | 0.996970i | \(-0.475215\pi\) |
−0.824509 | + | 0.565849i | \(0.808548\pi\) | |||||||
\(504\) | −0.644780 | + | 2.92989i | −0.0287208 | + | 0.130508i | ||||
\(505\) | −0.802751 | + | 2.99591i | −0.0357219 | + | 0.133316i | ||||
\(506\) | 8.61712 | 0.383078 | ||||||||
\(507\) | 21.0945 | + | 7.87551i | 0.936838 | + | 0.349764i | ||||
\(508\) | −10.5568 | −0.468381 | ||||||||
\(509\) | 9.82494 | − | 36.6672i | 0.435483 | − | 1.62524i | −0.304426 | − | 0.952536i | \(-0.598465\pi\) |
0.739908 | − | 0.672708i | \(-0.234869\pi\) | |||||||
\(510\) | −5.20428 | + | 0.805143i | −0.230449 | + | 0.0356523i | ||||
\(511\) | 13.2997 | + | 7.67859i | 0.588344 | + | 0.339681i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −11.2134 | + | 9.88007i | −0.495083 | + | 0.436216i | ||||
\(514\) | 21.0448 | − | 5.63894i | 0.928246 | − | 0.248723i | ||||
\(515\) | −2.53153 | + | 2.53153i | −0.111553 | + | 0.111553i | ||||
\(516\) | −14.5790 | + | 11.7195i | −0.641804 | + | 0.515920i | ||||
\(517\) | 13.0529 | − | 7.53608i | 0.574064 | − | 0.331436i | ||||
\(518\) | 8.56502 | + | 2.29499i | 0.376325 | + | 0.100836i | ||||
\(519\) | 13.5437 | + | 5.25476i | 0.594500 | + | 0.230658i | ||||
\(520\) | −1.10733 | − | 1.88993i | −0.0485595 | − | 0.0828790i | ||||
\(521\) | 13.5471i | 0.593507i | 0.954954 | + | 0.296754i | \(0.0959040\pi\) | ||||
−0.954954 | + | 0.296754i | \(0.904096\pi\) | |||||||
\(522\) | −10.3306 | − | 16.1605i | −0.452159 | − | 0.707326i | ||||
\(523\) | −21.9843 | − | 38.0779i | −0.961305 | − | 1.66503i | −0.719231 | − | 0.694771i | \(-0.755506\pi\) |
−0.242074 | − | 0.970258i | \(-0.577828\pi\) | |||||||
\(524\) | 6.11468 | − | 10.5909i | 0.267121 | − | 0.462667i | ||||
\(525\) | 7.33920 | − | 3.23611i | 0.320309 | − | 0.141236i | ||||
\(526\) | 2.20936 | + | 8.24546i | 0.0963328 | + | 0.359519i | ||||
\(527\) | 5.24956 | + | 19.5916i | 0.228674 | + | 0.853424i | ||||
\(528\) | −2.37726 | + | 1.04822i | −0.103457 | + | 0.0456179i | ||||
\(529\) | −5.00074 | + | 8.66153i | −0.217423 | + | 0.376588i | ||||
\(530\) | 2.39503 | + | 4.14832i | 0.104034 | + | 0.180192i | ||||
\(531\) | 20.9177 | + | 32.7223i | 0.907753 | + | 1.42003i | ||||
\(532\) | 2.87618i | 0.124698i | ||||||||
\(533\) | 13.0720 | − | 3.59237i | 0.566210 | − | 0.155603i | ||||
\(534\) | 10.9839 | + | 4.26160i | 0.475319 | + | 0.184417i | ||||
\(535\) | −6.25081 | − | 1.67490i | −0.270246 | − | 0.0724122i | ||||
\(536\) | 9.60838 | − | 5.54740i | 0.415019 | − | 0.239611i | ||||
\(537\) | 22.4711 | − | 18.0636i | 0.969702 | − | 0.779504i | ||||
\(538\) | −11.3397 | + | 11.3397i | −0.488890 | + | 0.488890i | ||||
\(539\) | −1.44890 | + | 0.388232i | −0.0624086 | + | 0.0167223i | ||||
\(540\) | −2.36853 | + | 2.08690i | −0.101925 | + | 0.0898061i | ||||
\(541\) | −20.4730 | − | 20.4730i | −0.880204 | − | 0.880204i | 0.113351 | − | 0.993555i | \(-0.463841\pi\) |
−0.993555 | + | 0.113351i | \(0.963841\pi\) | |||||||
\(542\) | 6.80945 | + | 3.93144i | 0.292491 | + | 0.168870i | ||||
\(543\) | 8.54599 | − | 1.32213i | 0.366743 | − | 0.0567381i | ||||
\(544\) | −1.29531 | + | 4.83416i | −0.0555359 | + | 0.207263i | ||||
\(545\) | 0.311968 | 0.0133632 | ||||||||
\(546\) | −3.94371 | − | 4.84223i | −0.168775 | − | 0.207228i | ||||
\(547\) | −14.9014 | −0.637139 | −0.318569 | − | 0.947900i | \(-0.603202\pi\) | ||||
−0.318569 | + | 0.947900i | \(0.603202\pi\) | |||||||
\(548\) | −4.39879 | + | 16.4165i | −0.187907 | + | 0.701279i | ||||
\(549\) | 1.13374 | − | 5.15173i | 0.0483868 | − | 0.219871i | ||||
\(550\) | 6.01580 | + | 3.47322i | 0.256515 | + | 0.148099i | ||||
\(551\) | −13.0028 | − | 13.0028i | −0.553936 | − | 0.553936i | ||||
\(552\) | 1.07557 | − | 9.89179i | 0.0457794 | − | 0.421023i | ||||
\(553\) | −3.55883 | + | 0.953587i | −0.151337 | + | 0.0405506i | ||||
\(554\) | 13.6375 | − | 13.6375i | 0.579401 | − | 0.579401i | ||||
\(555\) | 5.84581 | + | 7.27218i | 0.248141 | + | 0.308687i | ||||
\(556\) | 5.80239 | − | 3.35001i | 0.246076 | − | 0.142072i | ||||
\(557\) | 5.20313 | + | 1.39418i | 0.220464 | + | 0.0590731i | 0.367360 | − | 0.930079i | \(-0.380262\pi\) |
−0.146896 | + | 0.989152i | \(0.546928\pi\) | |||||||
\(558\) | 8.97671 | + | 8.20009i | 0.380014 | + | 0.347137i | ||||
\(559\) | −0.248986 | − | 38.9376i | −0.0105310 | − | 1.64689i | ||||
\(560\) | 0.607518i | 0.0256723i | ||||||||
\(561\) | −10.4919 | − | 7.68049i | −0.442968 | − | 0.324270i | ||||
\(562\) | 11.3632 | + | 19.6816i | 0.479327 | + | 0.830219i | ||||
\(563\) | 20.4692 | − | 35.4536i | 0.862672 | − | 1.49419i | −0.00666798 | − | 0.999978i | \(-0.502123\pi\) |
0.869340 | − | 0.494214i | \(-0.164544\pi\) | |||||||
\(564\) | −7.02161 | − | 15.9243i | −0.295663 | − | 0.670535i | ||||
\(565\) | 2.41519 | + | 9.01361i | 0.101608 | + | 0.379205i | ||||
\(566\) | 3.78087 | + | 14.1104i | 0.158922 | + | 0.593104i | ||||
\(567\) | −5.76370 | + | 6.91229i | −0.242052 | + | 0.290289i | ||||
\(568\) | −2.87193 | + | 4.97434i | −0.120504 | + | 0.208718i | ||||
\(569\) | −18.8139 | − | 32.5867i | −0.788722 | − | 1.36611i | −0.926750 | − | 0.375678i | \(-0.877410\pi\) |
0.138029 | − | 0.990428i | \(-0.455923\pi\) | |||||||
\(570\) | −1.78769 | + | 2.44207i | −0.0748781 | + | 0.102287i | ||||
\(571\) | 46.6107i | 1.95060i | 0.220892 | + | 0.975298i | \(0.429103\pi\) | ||||
−0.220892 | + | 0.975298i | \(0.570897\pi\) | |||||||
\(572\) | 1.36636 | − | 5.23294i | 0.0571303 | − | 0.218800i | ||||
\(573\) | −0.156950 | + | 0.404525i | −0.00655670 | + | 0.0168993i | ||||
\(574\) | −3.63181 | − | 0.973141i | −0.151589 | − | 0.0406181i | ||||
\(575\) | −23.0391 | + | 13.3016i | −0.960795 | + | 0.554715i | ||||
\(576\) | 0.906550 | + | 2.85975i | 0.0377729 | + | 0.119156i | ||||
\(577\) | −19.7783 | + | 19.7783i | −0.823382 | + | 0.823382i | −0.986591 | − | 0.163210i | \(-0.947815\pi\) |
0.163210 | + | 0.986591i | \(0.447815\pi\) | |||||||
\(578\) | −7.77272 | + | 2.08269i | −0.323302 | + | 0.0866286i | ||||
\(579\) | −17.8381 | − | 1.93961i | −0.741328 | − | 0.0806074i | ||||
\(580\) | −2.74649 | − | 2.74649i | −0.114042 | − | 0.114042i | ||||
\(581\) | −6.31471 | − | 3.64580i | −0.261978 | − | 0.151253i | ||||
\(582\) | 0.803181 | + | 5.19160i | 0.0332929 | + | 0.215199i | ||||
\(583\) | −3.06108 | + | 11.4241i | −0.126777 | + | 0.473138i | ||||
\(584\) | 15.3572 | 0.635484 | ||||||||
\(585\) | −0.338779 | − | 6.56257i | −0.0140068 | − | 0.271329i | ||||
\(586\) | −8.46435 | −0.349659 | ||||||||
\(587\) | 4.80513 | − | 17.9330i | 0.198329 | − | 0.740174i | −0.793051 | − | 0.609156i | \(-0.791509\pi\) |
0.991380 | − | 0.131019i | \(-0.0418248\pi\) | |||||||
\(588\) | 0.264812 | + | 1.71169i | 0.0109206 | + | 0.0705888i | ||||
\(589\) | 10.0948 | + | 5.82822i | 0.415948 | + | 0.240148i | ||||
\(590\) | 5.56118 | + | 5.56118i | 0.228950 | + | 0.228950i | ||||
\(591\) | −17.9214 | − | 1.94866i | −0.737189 | − | 0.0801574i | ||||
\(592\) | 8.56502 | − | 2.29499i | 0.352020 | − | 0.0943235i | ||||
\(593\) | 23.0341 | − | 23.0341i | 0.945899 | − | 0.945899i | −0.0527111 | − | 0.998610i | \(-0.516786\pi\) |
0.998610 | + | 0.0527111i | \(0.0167862\pi\) | |||||||
\(594\) | −7.77878 | − | 0.491694i | −0.319167 | − | 0.0201744i | ||||
\(595\) | −2.63310 | + | 1.52022i | −0.107946 | + | 0.0623229i | ||||
\(596\) | −20.1156 | − | 5.38997i | −0.823969 | − | 0.220782i | ||||
\(597\) | −1.57305 | + | 4.05439i | −0.0643808 | + | 0.165935i | ||||
\(598\) | 14.7395 | + | 14.5522i | 0.602743 | + | 0.595083i | ||||
\(599\) | − | 18.7978i | − | 0.768058i | −0.923321 | − | 0.384029i | \(-0.874536\pi\) | ||
0.923321 | − | 0.384029i | \(-0.125464\pi\) | |||||||
\(600\) | 4.73788 | − | 6.47216i | 0.193423 | − | 0.264225i | ||||
\(601\) | 3.42337 | + | 5.92945i | 0.139642 | + | 0.241867i | 0.927361 | − | 0.374167i | \(-0.122071\pi\) |
−0.787719 | + | 0.616035i | \(0.788738\pi\) | |||||||
\(602\) | −5.39979 | + | 9.35271i | −0.220079 | + | 0.381188i | ||||
\(603\) | 33.2504 | − | 1.50337i | 1.35406 | − | 0.0612218i | ||||
\(604\) | −0.672936 | − | 2.51143i | −0.0273814 | − | 0.102189i | ||||
\(605\) | 1.37582 | + | 5.13463i | 0.0559350 | + | 0.208752i | ||||
\(606\) | 3.56765 | + | 8.09108i | 0.144926 | + | 0.328678i | ||||
\(607\) | 22.9741 | − | 39.7924i | 0.932491 | − | 1.61512i | 0.153443 | − | 0.988157i | \(-0.450964\pi\) |
0.779048 | − | 0.626964i | \(-0.215703\pi\) | |||||||
\(608\) | 1.43809 | + | 2.49085i | 0.0583223 | + | 0.101017i | ||||
\(609\) | −8.93544 | − | 6.54109i | −0.362082 | − | 0.265059i | ||||
\(610\) | − | 1.06822i | − | 0.0432510i | ||||||
\(611\) | 35.0534 | + | 9.15270i | 1.41811 | + | 0.370279i | ||||
\(612\) | −10.1262 | + | 11.0852i | −0.409327 | + | 0.448094i | ||||
\(613\) | −16.8630 | − | 4.51842i | −0.681089 | − | 0.182497i | −0.0983444 | − | 0.995152i | \(-0.531355\pi\) |
−0.582745 | + | 0.812655i | \(0.698021\pi\) | |||||||
\(614\) | 7.04115 | − | 4.06521i | 0.284158 | − | 0.164059i | ||||
\(615\) | −2.47879 | − | 3.08361i | −0.0999544 | − | 0.124343i | ||||
\(616\) | −1.06067 | + | 1.06067i | −0.0427356 | + | 0.0427356i | ||||
\(617\) | 17.9619 | − | 4.81288i | 0.723119 | − | 0.193759i | 0.121556 | − | 0.992585i | \(-0.461212\pi\) |
0.601563 | + | 0.798825i | \(0.294545\pi\) | |||||||
\(618\) | −1.10335 | + | 10.1472i | −0.0443831 | + | 0.408181i | ||||
\(619\) | 14.2267 | + | 14.2267i | 0.571818 | + | 0.571818i | 0.932636 | − | 0.360818i | \(-0.117502\pi\) |
−0.360818 | + | 0.932636i | \(0.617502\pi\) | |||||||
\(620\) | 2.13226 | + | 1.23106i | 0.0856334 | + | 0.0494405i | ||||
\(621\) | 16.5262 | − | 24.8581i | 0.663174 | − | 0.997521i | ||||
\(622\) | 6.91841 | − | 25.8199i | 0.277403 | − | 1.03528i | ||||
\(623\) | 6.80212 | 0.272521 | ||||||||
\(624\) | −5.83646 | − | 2.22164i | −0.233646 | − | 0.0889368i | ||||
\(625\) | −19.6000 | −0.784002 | ||||||||
\(626\) | 4.38112 | − | 16.3505i | 0.175105 | − | 0.653499i | ||||
\(627\) | −7.38476 | + | 1.14248i | −0.294919 | + | 0.0456263i | ||||
\(628\) | −17.8060 | − | 10.2803i | −0.710538 | − | 0.410229i | ||||
\(629\) | 31.3795 | + | 31.3795i | 1.25118 | + | 1.25118i | ||||
\(630\) | −0.839056 | + | 1.61793i | −0.0334288 | + | 0.0644598i | ||||
\(631\) | 18.0970 | − | 4.84907i | 0.720430 | − | 0.193039i | 0.120066 | − | 0.992766i | \(-0.461689\pi\) |
0.600363 | + | 0.799727i | \(0.295023\pi\) | |||||||
\(632\) | −2.60525 | + | 2.60525i | −0.103631 | + | 0.103631i | ||||
\(633\) | 29.8883 | − | 24.0260i | 1.18796 | − | 0.954949i | ||||
\(634\) | 6.85358 | − | 3.95692i | 0.272190 | − | 0.157149i | ||||
\(635\) | −6.19490 | − | 1.65992i | −0.245837 | − | 0.0658718i | ||||
\(636\) | 12.7319 | + | 4.93982i | 0.504853 | + | 0.195876i | ||||
\(637\) | −3.13396 | − | 1.78277i | −0.124172 | − | 0.0706360i | ||||
\(638\) | − | 9.59024i | − | 0.379681i | ||||||
\(639\) | −14.5186 | + | 9.28104i | −0.574348 | + | 0.367152i | ||||
\(640\) | 0.303759 | + | 0.526126i | 0.0120071 | + | 0.0207970i | ||||
\(641\) | −12.0969 | + | 20.9525i | −0.477799 | + | 0.827573i | −0.999676 | − | 0.0254482i | \(-0.991899\pi\) |
0.521877 | + | 0.853021i | \(0.325232\pi\) | |||||||
\(642\) | −16.8816 | + | 7.44372i | −0.666265 | + | 0.293780i | ||||
\(643\) | −2.06922 | − | 7.72242i | −0.0816020 | − | 0.304543i | 0.913047 | − | 0.407854i | \(-0.133723\pi\) |
−0.994649 | + | 0.103311i | \(0.967056\pi\) | |||||||
\(644\) | −1.48684 | − | 5.54895i | −0.0585895 | − | 0.218659i | ||||
\(645\) | −10.3979 | + | 4.58482i | −0.409419 | + | 0.180527i | ||||
\(646\) | −7.19720 | + | 12.4659i | −0.283170 | + | 0.490465i | ||||
\(647\) | 12.4194 | + | 21.5110i | 0.488256 | + | 0.845684i | 0.999909 | − | 0.0135085i | \(-0.00430002\pi\) |
−0.511653 | + | 0.859192i | \(0.670967\pi\) | |||||||
\(648\) | −1.53536 | + | 8.86807i | −0.0603146 | + | 0.348371i | ||||
\(649\) | 19.4186i | 0.762247i | ||||||||
\(650\) | 4.42455 | + | 16.1001i | 0.173545 | + | 0.631499i | ||||
\(651\) | 6.54426 | + | 2.53909i | 0.256490 | + | 0.0995147i | ||||
\(652\) | 6.48922 | + | 1.73878i | 0.254137 | + | 0.0680959i | ||||
\(653\) | −31.1279 | + | 17.9717i | −1.21813 | + | 0.703287i | −0.964517 | − | 0.264019i | \(-0.914952\pi\) |
−0.253611 | + | 0.967306i | \(0.581618\pi\) | |||||||
\(654\) | 0.693221 | − | 0.557252i | 0.0271071 | − | 0.0217903i | ||||
\(655\) | 5.25349 | − | 5.25349i | 0.205271 | − | 0.205271i | ||||
\(656\) | −3.63181 | + | 0.973141i | −0.141798 | + | 0.0379948i | ||||
\(657\) | 40.8989 | + | 21.2101i | 1.59562 | + | 0.827485i | ||||
\(658\) | −7.10501 | − | 7.10501i | −0.276982 | − | 0.276982i | ||||
\(659\) | −18.0111 | − | 10.3987i | −0.701611 | − | 0.405075i | 0.106336 | − | 0.994330i | \(-0.466088\pi\) |
−0.807947 | + | 0.589255i | \(0.799421\pi\) | |||||||
\(660\) | −1.55984 | + | 0.241319i | −0.0607165 | + | 0.00939333i | ||||
\(661\) | −8.51046 | + | 31.7615i | −0.331018 | + | 1.23538i | 0.577103 | + | 0.816671i | \(0.304183\pi\) |
−0.908122 | + | 0.418706i | \(0.862484\pi\) | |||||||
\(662\) | −21.5711 | −0.838384 | ||||||||
\(663\) | −4.97584 | − | 30.8556i | −0.193246 | − | 1.19833i | ||||
\(664\) | −7.29160 | −0.282969 | ||||||||
\(665\) | −0.452243 | + | 1.68779i | −0.0175372 | + | 0.0654499i | ||||
\(666\) | 25.9798 | + | 5.71737i | 1.00670 | + | 0.221543i | ||||
\(667\) | 31.8076 | + | 18.3641i | 1.23160 | + | 0.711063i | ||||
\(668\) | −4.94440 | − | 4.94440i | −0.191305 | − | 0.191305i | ||||
\(669\) | 1.84053 | − | 16.9270i | 0.0711591 | − | 0.654434i | ||||
\(670\) | 6.51062 | − | 1.74452i | 0.251527 | − | 0.0673965i | ||||
\(671\) | 1.86502 | − | 1.86502i | 0.0719981 | − | 0.0719981i | ||||
\(672\) | 1.08518 | + | 1.34996i | 0.0418616 | + | 0.0520758i | ||||
\(673\) | −27.0469 | + | 15.6155i | −1.04258 | + | 0.601934i | −0.920563 | − | 0.390594i | \(-0.872270\pi\) |
−0.122017 | + | 0.992528i | \(0.538936\pi\) | |||||||
\(674\) | −25.7659 | − | 6.90396i | −0.992466 | − | 0.265930i | ||||
\(675\) | 21.5566 | − | 10.6929i | 0.829715 | − | 0.411570i | ||||
\(676\) | 11.1743 | − | 6.64344i | 0.429780 | − | 0.255517i | ||||
\(677\) | − | 2.63720i | − | 0.101356i | −0.998715 | − | 0.0506778i | \(-0.983862\pi\) | ||
0.998715 | − | 0.0506778i | \(-0.0161382\pi\) | |||||||
\(678\) | 21.4673 | + | 15.7149i | 0.824447 | + | 0.603528i | ||||
\(679\) | 1.51651 | + | 2.62668i | 0.0581985 | + | 0.100803i | ||||
\(680\) | −1.52022 | + | 2.63310i | −0.0582977 | + | 0.100975i | ||||
\(681\) | 4.04680 | + | 9.17777i | 0.155074 | + | 0.351693i | ||||
\(682\) | 1.57341 | + | 5.87203i | 0.0602489 | + | 0.224852i | ||||
\(683\) | −10.8450 | − | 40.4741i | −0.414972 | − | 1.54870i | −0.784891 | − | 0.619633i | \(-0.787281\pi\) |
0.369919 | − | 0.929064i | \(-0.379385\pi\) | |||||||
\(684\) | 0.389729 | + | 8.61975i | 0.0149016 | + | 0.329584i | ||||
\(685\) | −5.16258 | + | 8.94184i | −0.197252 | + | 0.341650i | ||||
\(686\) | 0.500000 | + | 0.866025i | 0.0190901 | + | 0.0330650i | ||||
\(687\) | 2.08455 | − | 2.84759i | 0.0795306 | − | 0.108643i | ||||
\(688\) | 10.7996i | 0.411730i | ||||||||
\(689\) | −24.5284 | + | 14.3714i | −0.934459 | + | 0.547507i | ||||
\(690\) | 2.18652 | − | 5.63556i | 0.0832395 | − | 0.214542i | ||||
\(691\) | 16.2923 | + | 4.36550i | 0.619788 | + | 0.166072i | 0.555031 | − | 0.831829i | \(-0.312706\pi\) |
0.0647564 | + | 0.997901i | \(0.479373\pi\) | |||||||
\(692\) | 7.26366 | − | 4.19368i | 0.276123 | − | 0.159420i | ||||
\(693\) | −4.28966 | + | 1.35984i | −0.162951 | + | 0.0516559i | ||||
\(694\) | 9.03343 | − | 9.03343i | 0.342904 | − | 0.342904i | ||||
\(695\) | 3.93169 | − | 1.05349i | 0.149137 | − | 0.0399612i | ||||
\(696\) | −11.0089 | − | 1.19704i | −0.417290 | − | 0.0453735i | ||||
\(697\) | −13.3058 | − | 13.3058i | −0.503994 | − | 0.503994i | ||||
\(698\) | 25.5773 | + | 14.7670i | 0.968114 | + | 0.558941i | ||||
\(699\) | −3.37215 | − | 21.7969i | −0.127546 | − | 0.824433i | ||||
\(700\) | 1.19857 | − | 4.47313i | 0.0453017 | − | 0.169068i | ||||
\(701\) | −29.1790 | −1.10208 | −0.551038 | − | 0.834480i | \(-0.685768\pi\) | ||||
−0.551038 | + | 0.834480i | \(0.685768\pi\) | |||||||
\(702\) | −12.4752 | − | 13.9775i | −0.470845 | − | 0.527546i | ||||
\(703\) | 25.5036 | 0.961886 | ||||||||
\(704\) | −0.388232 | + | 1.44890i | −0.0146321 | + | 0.0546076i | ||||
\(705\) | −1.61650 | − | 10.4487i | −0.0608810 | − | 0.393522i | ||||
\(706\) | 18.4719 | + | 10.6647i | 0.695198 | + | 0.401372i | ||||
\(707\) | 3.61003 | + | 3.61003i | 0.135769 | + | 0.135769i | ||||
\(708\) | 22.2911 | + | 2.42379i | 0.837750 | + | 0.0910918i | ||||
\(709\) | 12.3313 | − | 3.30417i | 0.463112 | − | 0.124091i | −0.0197161 | − | 0.999806i | \(-0.506276\pi\) |
0.482828 | + | 0.875715i | \(0.339610\pi\) | |||||||
\(710\) | −2.46745 | + | 2.46745i | −0.0926018 | + | 0.0926018i | ||||
\(711\) | −10.5364 | + | 3.34007i | −0.395146 | + | 0.125262i | ||||
\(712\) | 5.89081 | − | 3.40106i | 0.220768 | − | 0.127460i | ||||
\(713\) | −22.4885 | − | 6.02577i | −0.842200 | − | 0.225667i | ||||
\(714\) | −3.13549 | + | 8.08143i | −0.117343 | + | 0.302440i | ||||
\(715\) | 1.62461 | − | 2.85593i | 0.0607571 | − | 0.106806i | ||||
\(716\) | − | 16.6458i | − | 0.622083i | ||||||
\(717\) | −19.1594 | + | 26.1726i | −0.715521 | + | 0.977434i | ||||
\(718\) | 4.68874 | + | 8.12113i | 0.174982 | + | 0.303078i | ||||
\(719\) | 18.6879 | − | 32.3684i | 0.696942 | − | 1.20714i | −0.272580 | − | 0.962133i | \(-0.587877\pi\) |
0.969522 | − | 0.245006i | \(-0.0787899\pi\) | |||||||
\(720\) | 0.0823199 | + | 1.82069i | 0.00306788 | + | 0.0678533i | ||||
\(721\) | 1.52523 | + | 5.69223i | 0.0568025 | + | 0.211990i | ||||
\(722\) | −2.77650 | − | 10.3620i | −0.103331 | − | 0.385635i | ||||
\(723\) | 11.3447 | + | 25.7288i | 0.421915 | + | 0.956863i | ||||
\(724\) | 2.49636 | − | 4.32383i | 0.0927766 | − | 0.160694i | ||||
\(725\) | 14.8037 | + | 25.6408i | 0.549797 | + | 0.952277i | ||||
\(726\) | 12.2289 | + | 8.95205i | 0.453857 | + | 0.332242i | ||||
\(727\) | − | 5.06432i | − | 0.187825i | −0.995580 | − | 0.0939126i | \(-0.970063\pi\) | ||
0.995580 | − | 0.0939126i | \(-0.0299374\pi\) | |||||||
\(728\) | −3.60548 | + | 0.0230552i | −0.133628 | + | 0.000854481i | ||||
\(729\) | −16.3368 | + | 21.4967i | −0.605067 | + | 0.796175i | ||||
\(730\) | 9.01186 | + | 2.41472i | 0.333544 | + | 0.0893728i | ||||
\(731\) | −46.8074 | + | 27.0243i | −1.73123 | + | 0.999529i | ||||
\(732\) | −1.90811 | − | 2.37368i | −0.0705257 | − | 0.0877338i | ||||
\(733\) | −31.5628 | + | 31.5628i | −1.16580 | + | 1.16580i | −0.182613 | + | 0.983185i | \(0.558455\pi\) |
−0.983185 | + | 0.182613i | \(0.941545\pi\) | |||||||
\(734\) | 4.27524 | − | 1.14555i | 0.157802 | − | 0.0422829i | ||||
\(735\) | −0.113745 | + | 1.04609i | −0.00419555 | + | 0.0385855i | ||||
\(736\) | −4.06211 | − | 4.06211i | −0.149731 | − | 0.149731i | ||||
\(737\) | 14.4127 | + | 8.32118i | 0.530899 | + | 0.306515i | ||||
\(738\) | −11.0162 | − | 2.42433i | −0.405511 | − | 0.0892407i | ||||
\(739\) | −6.71344 | + | 25.0549i | −0.246958 | + | 0.921659i | 0.725431 | + | 0.688294i | \(0.241640\pi\) |
−0.972389 | + | 0.233365i | \(0.925026\pi\) | |||||||
\(740\) | 5.38696 | 0.198029 | ||||||||
\(741\) | −14.5609 | − | 10.5168i | −0.534909 | − | 0.386346i | ||||
\(742\) | 7.88465 | 0.289455 | ||||||||
\(743\) | −1.54626 | + | 5.77071i | −0.0567267 | + | 0.211707i | −0.988472 | − | 0.151407i | \(-0.951620\pi\) |
0.931745 | + | 0.363114i | \(0.118286\pi\) | |||||||
\(744\) | 6.93704 | − | 1.07321i | 0.254324 | − | 0.0393459i | ||||
\(745\) | −10.9567 | − | 6.32586i | −0.401423 | − | 0.231761i | ||||
\(746\) | −13.2070 | − | 13.2070i | −0.483541 | − | 0.483541i | ||||
\(747\) | −19.4188 | − | 10.0706i | −0.710497 | − | 0.368463i | ||||
\(748\) | −7.25131 | + | 1.94298i | −0.265134 | + | 0.0710424i | ||||
\(749\) | −7.53214 | + | 7.53214i | −0.275218 | + | 0.275218i | ||||
\(750\) | 7.89856 | − | 6.34933i | 0.288414 | − | 0.231845i | ||||
\(751\) | 7.90712 | − | 4.56518i | 0.288535 | − | 0.166586i | −0.348746 | − | 0.937217i | \(-0.613392\pi\) |
0.637281 | + | 0.770632i | \(0.280059\pi\) | |||||||
\(752\) | −9.70563 | − | 2.60062i | −0.353928 | − | 0.0948347i | ||||
\(753\) | 1.73573 | + | 0.673440i | 0.0632534 | + | 0.0245415i | ||||
\(754\) | 16.1956 | − | 16.4040i | 0.589807 | − | 0.597399i | ||||
\(755\) | − | 1.57956i | − | 0.0574862i | ||||||
\(756\) | 1.02556 | + | 5.09394i | 0.0372993 | + | 0.185265i | ||||
\(757\) | 18.4318 | + | 31.9247i | 0.669913 | + | 1.16032i | 0.977928 | + | 0.208942i | \(0.0670021\pi\) |
−0.308015 | + | 0.951382i | \(0.599665\pi\) | |||||||
\(758\) | −14.6209 | + | 25.3242i | −0.531055 | + | 0.919815i | ||||
\(759\) | 13.6566 | − | 6.02169i | 0.495704 | − | 0.218574i | ||||
\(760\) | 0.452243 | + | 1.68779i | 0.0164046 | + | 0.0612227i | ||||
\(761\) | −5.30708 | − | 19.8063i | −0.192382 | − | 0.717978i | −0.992929 | − | 0.118708i | \(-0.962125\pi\) |
0.800548 | − | 0.599269i | \(-0.204542\pi\) | |||||||
\(762\) | −16.7306 | + | 7.37713i | −0.606087 | + | 0.267245i | ||||
\(763\) | 0.256756 | − | 0.444715i | 0.00929519 | − | 0.0160997i | ||||
\(764\) | 0.125258 | + | 0.216953i | 0.00453166 | + | 0.00784907i | ||||
\(765\) | −7.68524 | + | 4.91279i | −0.277860 | + | 0.177622i | ||||
\(766\) | − | 22.8846i | − | 0.826853i | ||||||
\(767\) | −32.7932 | + | 33.2153i | −1.18410 | + | 1.19934i | ||||
\(768\) | 1.61477 | + | 0.626510i | 0.0582680 | + | 0.0226072i | ||||
\(769\) | −35.5339 | − | 9.52129i | −1.28139 | − | 0.343347i | −0.447004 | − | 0.894532i | \(-0.647509\pi\) |
−0.834383 | + | 0.551185i | \(0.814176\pi\) | |||||||
\(770\) | −0.789196 | + | 0.455643i | −0.0284407 | + | 0.0164202i | ||||
\(771\) | 29.4118 | − | 23.6430i | 1.05924 | − | 0.851480i | ||||
\(772\) | −7.32531 | + | 7.32531i | −0.263644 | + | 0.263644i |