Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(61,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(90))
chi = DirichletCharacter(H, H._module([72, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bc (of order \(45\), degree \(24\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(600\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{45})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{45}]$ |
Embedding invariants
Embedding label | 111.13 | ||
Character | \(\chi\) | \(=\) | 950.111 |
Dual form | 950.2.bc.a.291.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{2}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.997564 | − | 0.0697565i | −0.705384 | − | 0.0493253i | ||||
\(3\) | −0.00161455 | − | 0.0462348i | −0.000932164 | − | 0.0266937i | 0.998836 | − | 0.0482432i | \(-0.0153623\pi\) |
−0.999768 | + | 0.0215495i | \(0.993140\pi\) | |||||||
\(4\) | 0.990268 | + | 0.139173i | 0.495134 | + | 0.0695866i | ||||
\(5\) | −1.32595 | − | 1.80052i | −0.592981 | − | 0.805216i | ||||
\(6\) | −0.00161455 | + | 0.0462348i | −0.000659139 | + | 0.0188753i | ||||
\(7\) | −2.07837 | − | 3.59984i | −0.785549 | − | 1.36061i | −0.928671 | − | 0.370905i | \(-0.879048\pi\) |
0.143122 | − | 0.989705i | \(-0.454286\pi\) | |||||||
\(8\) | −0.978148 | − | 0.207912i | −0.345827 | − | 0.0735079i | ||||
\(9\) | 2.99056 | − | 0.209120i | 0.996852 | − | 0.0697067i | ||||
\(10\) | 1.19712 | + | 1.88863i | 0.378562 | + | 0.597236i | ||||
\(11\) | 0.430255 | + | 4.09360i | 0.129727 | + | 1.23427i | 0.844748 | + | 0.535165i | \(0.179751\pi\) |
−0.715021 | + | 0.699103i | \(0.753583\pi\) | |||||||
\(12\) | 0.00483580 | − | 0.0460095i | 0.00139597 | − | 0.0132818i | ||||
\(13\) | 1.13626 | + | 1.68458i | 0.315142 | + | 0.467217i | 0.953015 | − | 0.302925i | \(-0.0979631\pi\) |
−0.637872 | + | 0.770142i | \(0.720185\pi\) | |||||||
\(14\) | 1.82219 | + | 3.73605i | 0.487001 | + | 0.998500i | ||||
\(15\) | −0.0811058 | + | 0.0642119i | −0.0209414 | + | 0.0165794i | ||||
\(16\) | 0.961262 | + | 0.275637i | 0.240315 | + | 0.0689093i | ||||
\(17\) | 2.98702 | − | 7.39313i | 0.724459 | − | 1.79310i | 0.125861 | − | 0.992048i | \(-0.459831\pi\) |
0.598597 | − | 0.801050i | \(-0.295725\pi\) | |||||||
\(18\) | −2.99786 | −0.706602 | ||||||||
\(19\) | 4.08227 | − | 1.52808i | 0.936538 | − | 0.350566i | ||||
\(20\) | −1.06246 | − | 1.96753i | −0.237573 | − | 0.439953i | ||||
\(21\) | −0.163082 | + | 0.101905i | −0.0355874 | + | 0.0222375i | ||||
\(22\) | −0.143652 | − | 4.11365i | −0.0306266 | − | 0.877032i | ||||
\(23\) | −0.935123 | − | 0.903038i | −0.194987 | − | 0.188296i | 0.590755 | − | 0.806851i | \(-0.298830\pi\) |
−0.785742 | + | 0.618554i | \(0.787719\pi\) | |||||||
\(24\) | −0.00803348 | + | 0.0455601i | −0.00163983 | + | 0.00929993i | ||||
\(25\) | −1.48373 | + | 4.77478i | −0.296746 | + | 0.954956i | ||||
\(26\) | −1.01598 | − | 1.75973i | −0.199251 | − | 0.345112i | ||||
\(27\) | −0.0290044 | − | 0.275959i | −0.00558191 | − | 0.0531083i | ||||
\(28\) | −1.55714 | − | 3.85406i | −0.294272 | − | 0.728348i | ||||
\(29\) | −2.93254 | − | 7.25829i | −0.544559 | − | 1.34783i | −0.909074 | − | 0.416634i | \(-0.863210\pi\) |
0.364515 | − | 0.931197i | \(-0.381235\pi\) | |||||||
\(30\) | 0.0853874 | − | 0.0583979i | 0.0155895 | − | 0.0106619i | ||||
\(31\) | −5.05063 | + | 5.60929i | −0.907120 | + | 1.00746i | 0.0928107 | + | 0.995684i | \(0.470415\pi\) |
−0.999931 | + | 0.0117750i | \(0.996252\pi\) | |||||||
\(32\) | −0.939693 | − | 0.342020i | −0.166116 | − | 0.0604612i | ||||
\(33\) | 0.188572 | − | 0.0265021i | 0.0328262 | − | 0.00461343i | ||||
\(34\) | −3.49546 | + | 7.16676i | −0.599467 | + | 1.22909i | ||||
\(35\) | −3.72577 | + | 8.51533i | −0.629769 | + | 1.43935i | ||||
\(36\) | 2.99056 | + | 0.209120i | 0.498426 | + | 0.0348534i | ||||
\(37\) | −7.44656 | − | 5.41024i | −1.22421 | − | 0.889439i | −0.227765 | − | 0.973716i | \(-0.573142\pi\) |
−0.996442 | + | 0.0842777i | \(0.973142\pi\) | |||||||
\(38\) | −4.17892 | + | 1.23959i | −0.677911 | + | 0.201089i | ||||
\(39\) | 0.0760515 | − | 0.0552546i | 0.0121780 | − | 0.00884782i | ||||
\(40\) | 0.922623 | + | 2.03685i | 0.145880 | + | 0.322055i | ||||
\(41\) | −7.23292 | − | 2.07401i | −1.12959 | − | 0.323905i | −0.341755 | − | 0.939789i | \(-0.611021\pi\) |
−0.787837 | + | 0.615884i | \(0.788799\pi\) | |||||||
\(42\) | 0.169793 | − | 0.0902807i | 0.0261997 | − | 0.0139306i | ||||
\(43\) | 1.29213 | − | 7.32804i | 0.197048 | − | 1.11752i | −0.712423 | − | 0.701750i | \(-0.752402\pi\) |
0.909472 | − | 0.415766i | \(-0.136487\pi\) | |||||||
\(44\) | −0.143652 | + | 4.11365i | −0.0216563 | + | 0.620155i | ||||
\(45\) | −4.34184 | − | 5.10727i | −0.647244 | − | 0.761347i | ||||
\(46\) | 0.869852 | + | 0.966069i | 0.128253 | + | 0.142439i | ||||
\(47\) | 4.08017 | + | 10.0988i | 0.595153 | + | 1.47306i | 0.860778 | + | 0.508980i | \(0.169977\pi\) |
−0.265625 | + | 0.964076i | \(0.585578\pi\) | |||||||
\(48\) | 0.0111920 | − | 0.0448888i | 0.00161543 | − | 0.00647914i | ||||
\(49\) | −5.13921 | + | 8.90138i | −0.734173 | + | 1.27163i | ||||
\(50\) | 1.81319 | − | 4.65965i | 0.256423 | − | 0.658974i | ||||
\(51\) | −0.346643 | − | 0.126168i | −0.0485397 | − | 0.0176670i | ||||
\(52\) | 0.890755 | + | 1.82632i | 0.123526 | + | 0.253265i | ||||
\(53\) | −11.4302 | − | 1.60641i | −1.57006 | − | 0.220657i | −0.700196 | − | 0.713951i | \(-0.746904\pi\) |
−0.869863 | + | 0.493293i | \(0.835793\pi\) | |||||||
\(54\) | 0.00968387 | + | 0.277310i | 0.00131781 | + | 0.0377371i | ||||
\(55\) | 6.80011 | − | 6.20258i | 0.916927 | − | 0.836356i | ||||
\(56\) | 1.28450 | + | 3.95329i | 0.171649 | + | 0.528280i | ||||
\(57\) | −0.0772416 | − | 0.186276i | −0.0102309 | − | 0.0246729i | ||||
\(58\) | 2.41908 | + | 7.44518i | 0.317641 | + | 0.977600i | ||||
\(59\) | −2.95601 | − | 11.8559i | −0.384840 | − | 1.54351i | −0.780527 | − | 0.625122i | \(-0.785049\pi\) |
0.395687 | − | 0.918385i | \(-0.370507\pi\) | |||||||
\(60\) | −0.0892530 | + | 0.0522993i | −0.0115225 | + | 0.00675181i | ||||
\(61\) | 2.35983 | + | 2.27886i | 0.302145 | + | 0.291778i | 0.830239 | − | 0.557408i | \(-0.188204\pi\) |
−0.528094 | + | 0.849186i | \(0.677093\pi\) | |||||||
\(62\) | 5.42961 | − | 5.24331i | 0.689561 | − | 0.665902i | ||||
\(63\) | −6.96827 | − | 10.3309i | −0.877920 | − | 1.30157i | ||||
\(64\) | 0.913545 | + | 0.406737i | 0.114193 | + | 0.0508421i | ||||
\(65\) | 1.52649 | − | 4.27952i | 0.189338 | − | 0.530809i | ||||
\(66\) | −0.189962 | + | 0.0132834i | −0.0233827 | + | 0.00163508i | ||||
\(67\) | 10.0704 | + | 6.29268i | 1.23030 | + | 0.768774i | 0.979923 | − | 0.199376i | \(-0.0638915\pi\) |
0.250372 | + | 0.968150i | \(0.419447\pi\) | |||||||
\(68\) | 3.98688 | − | 6.90547i | 0.483480 | − | 0.837411i | ||||
\(69\) | −0.0402420 | + | 0.0446932i | −0.00484456 | + | 0.00538043i | ||||
\(70\) | 4.31069 | − | 8.23469i | 0.515226 | − | 0.984233i | ||||
\(71\) | −9.21622 | − | 4.90035i | −1.09376 | − | 0.581565i | −0.178305 | − | 0.983975i | \(-0.557061\pi\) |
−0.915459 | + | 0.402411i | \(0.868172\pi\) | |||||||
\(72\) | −2.96868 | − | 0.417221i | −0.349863 | − | 0.0491700i | ||||
\(73\) | 1.04693 | − | 1.55214i | 0.122534 | − | 0.181665i | −0.762779 | − | 0.646659i | \(-0.776166\pi\) |
0.885314 | + | 0.464994i | \(0.153944\pi\) | |||||||
\(74\) | 7.05102 | + | 5.91651i | 0.819665 | + | 0.687780i | ||||
\(75\) | 0.223157 | + | 0.0608908i | 0.0257679 | + | 0.00703106i | ||||
\(76\) | 4.25521 | − | 0.945067i | 0.488107 | − | 0.108407i | ||||
\(77\) | 13.8421 | − | 10.0569i | 1.57745 | − | 1.14609i | ||||
\(78\) | −0.0797206 | + | 0.0498150i | −0.00902658 | + | 0.00564043i | ||||
\(79\) | −0.0100788 | − | 0.288618i | −0.00113395 | − | 0.0324721i | 0.998692 | − | 0.0511309i | \(-0.0162826\pi\) |
−0.999826 | + | 0.0186588i | \(0.994060\pi\) | |||||||
\(80\) | −0.778292 | − | 2.09625i | −0.0870157 | − | 0.234368i | ||||
\(81\) | 8.89334 | − | 1.24988i | 0.988149 | − | 0.138875i | ||||
\(82\) | 7.07062 | + | 2.57350i | 0.780820 | + | 0.284195i | ||||
\(83\) | −2.77547 | + | 3.08247i | −0.304647 | + | 0.338345i | −0.875957 | − | 0.482390i | \(-0.839769\pi\) |
0.571310 | + | 0.820735i | \(0.306436\pi\) | |||||||
\(84\) | −0.175677 | + | 0.0782166i | −0.0191680 | + | 0.00853413i | ||||
\(85\) | −17.2721 | + | 4.42472i | −1.87342 | + | 0.479928i | ||||
\(86\) | −1.80016 | + | 7.22006i | −0.194117 | + | 0.778559i | ||||
\(87\) | −0.330851 | + | 0.147304i | −0.0354710 | + | 0.0157927i | ||||
\(88\) | 0.430255 | − | 4.09360i | 0.0458654 | − | 0.436380i | ||||
\(89\) | −2.78348 | + | 0.798149i | −0.295048 | + | 0.0846037i | −0.419896 | − | 0.907572i | \(-0.637933\pi\) |
0.124848 | + | 0.992176i | \(0.460156\pi\) | |||||||
\(90\) | 3.97500 | + | 5.39770i | 0.419002 | + | 0.568968i | ||||
\(91\) | 3.70263 | − | 7.59152i | 0.388141 | − | 0.795808i | ||||
\(92\) | −0.800344 | − | 1.02439i | −0.0834416 | − | 0.106800i | ||||
\(93\) | 0.267499 | + | 0.224458i | 0.0277384 | + | 0.0232752i | ||||
\(94\) | −3.36577 | − | 10.3588i | −0.347153 | − | 1.06843i | ||||
\(95\) | −8.16422 | − | 5.32405i | −0.837631 | − | 0.546237i | ||||
\(96\) | −0.0142960 | + | 0.0439987i | −0.00145908 | + | 0.00449060i | ||||
\(97\) | −7.06779 | + | 4.41644i | −0.717625 | + | 0.448422i | −0.838962 | − | 0.544189i | \(-0.816837\pi\) |
0.121337 | + | 0.992611i | \(0.461282\pi\) | |||||||
\(98\) | 5.74762 | − | 8.52120i | 0.580597 | − | 0.860771i | ||||
\(99\) | 2.14276 | + | 12.1522i | 0.215355 | + | 1.22134i | ||||
\(100\) | −2.13381 | + | 4.52182i | −0.213381 | + | 0.452182i | ||||
\(101\) | −4.08556 | − | 1.48702i | −0.406529 | − | 0.147964i | 0.130658 | − | 0.991427i | \(-0.458291\pi\) |
−0.537187 | + | 0.843463i | \(0.680513\pi\) | |||||||
\(102\) | 0.336997 | + | 0.150041i | 0.0333677 | + | 0.0148563i | ||||
\(103\) | 4.07677 | + | 4.52771i | 0.401696 | + | 0.446129i | 0.909725 | − | 0.415211i | \(-0.136292\pi\) |
−0.508029 | + | 0.861340i | \(0.669626\pi\) | |||||||
\(104\) | −0.761188 | − | 1.88401i | −0.0746406 | − | 0.184742i | ||||
\(105\) | 0.399720 | + | 0.158512i | 0.0390087 | + | 0.0154691i | ||||
\(106\) | 11.2903 | + | 2.39983i | 1.09661 | + | 0.233092i | ||||
\(107\) | −3.71796 | − | 6.43970i | −0.359429 | − | 0.622549i | 0.628436 | − | 0.777861i | \(-0.283695\pi\) |
−0.987866 | + | 0.155311i | \(0.950362\pi\) | |||||||
\(108\) | 0.00968387 | − | 0.277310i | 0.000931831 | − | 0.0266842i | ||||
\(109\) | 2.81955 | − | 2.72281i | 0.270064 | − | 0.260798i | −0.547277 | − | 0.836951i | \(-0.684336\pi\) |
0.817342 | + | 0.576153i | \(0.195447\pi\) | |||||||
\(110\) | −7.21622 | + | 5.71312i | −0.688039 | + | 0.544725i | ||||
\(111\) | −0.238119 | + | 0.353025i | −0.0226012 | + | 0.0335077i | ||||
\(112\) | −1.00560 | − | 4.03326i | −0.0950207 | − | 0.381107i | ||||
\(113\) | 0.472598 | + | 0.343363i | 0.0444583 | + | 0.0323008i | 0.609792 | − | 0.792561i | \(-0.291253\pi\) |
−0.565334 | + | 0.824862i | \(0.691253\pi\) | |||||||
\(114\) | 0.0640595 | + | 0.191210i | 0.00599972 | + | 0.0179085i | ||||
\(115\) | −0.386012 | + | 2.88109i | −0.0359958 | + | 0.268663i | ||||
\(116\) | −1.89384 | − | 7.59579i | −0.175839 | − | 0.705251i | ||||
\(117\) | 3.75033 | + | 4.80021i | 0.346718 | + | 0.443779i | ||||
\(118\) | 2.12178 | + | 12.0332i | 0.195326 | + | 1.10775i | ||||
\(119\) | −32.8222 | + | 4.61286i | −3.00880 | + | 0.422860i | ||||
\(120\) | 0.0926838 | − | 0.0459459i | 0.00846084 | − | 0.00419427i | ||||
\(121\) | −5.81285 | + | 1.23556i | −0.528441 | + | 0.112324i | ||||
\(122\) | −2.19511 | − | 2.43792i | −0.198736 | − | 0.220719i | ||||
\(123\) | −0.0842133 | + | 0.337761i | −0.00759326 | + | 0.0304549i | ||||
\(124\) | −5.78214 | + | 4.85179i | −0.519252 | + | 0.435704i | ||||
\(125\) | 10.5644 | − | 3.65963i | 0.944911 | − | 0.327327i | ||||
\(126\) | 6.23065 | + | 10.7918i | 0.555070 | + | 0.961410i | ||||
\(127\) | 4.15379 | − | 1.19108i | 0.368590 | − | 0.105691i | −0.0862293 | − | 0.996275i | \(-0.527482\pi\) |
0.454819 | + | 0.890584i | \(0.349704\pi\) | |||||||
\(128\) | −0.882948 | − | 0.469472i | −0.0780423 | − | 0.0414958i | ||||
\(129\) | −0.340897 | − | 0.0479099i | −0.0300143 | − | 0.00421823i | ||||
\(130\) | −1.82129 | + | 4.16261i | −0.159738 | + | 0.365085i | ||||
\(131\) | −0.798453 | + | 1.97624i | −0.0697611 | + | 0.172665i | −0.958036 | − | 0.286647i | \(-0.907459\pi\) |
0.888275 | + | 0.459312i | \(0.151904\pi\) | |||||||
\(132\) | 0.190426 | 0.0165744 | ||||||||
\(133\) | −13.9853 | − | 11.5196i | −1.21268 | − | 0.998877i | ||||
\(134\) | −9.60691 | − | 6.97983i | −0.829911 | − | 0.602966i | ||||
\(135\) | −0.458410 | + | 0.418130i | −0.0394537 | + | 0.0359869i | ||||
\(136\) | −4.45886 | + | 6.61054i | −0.382344 | + | 0.566849i | ||||
\(137\) | −1.92757 | + | 3.95211i | −0.164684 | + | 0.337652i | −0.965138 | − | 0.261742i | \(-0.915703\pi\) |
0.800454 | + | 0.599394i | \(0.204592\pi\) | |||||||
\(138\) | 0.0432616 | − | 0.0417772i | 0.00368267 | − | 0.00355631i | ||||
\(139\) | 4.82768 | − | 1.38431i | 0.409478 | − | 0.117416i | −0.0645735 | − | 0.997913i | \(-0.520569\pi\) |
0.474052 | + | 0.880497i | \(0.342791\pi\) | |||||||
\(140\) | −4.87461 | + | 7.91393i | −0.411980 | + | 0.668849i | ||||
\(141\) | 0.460327 | − | 0.204951i | 0.0387665 | − | 0.0172600i | ||||
\(142\) | 8.85194 | + | 5.53131i | 0.742838 | + | 0.464177i | ||||
\(143\) | −6.40711 | + | 5.37620i | −0.535789 | + | 0.449581i | ||||
\(144\) | 2.93235 | + | 0.623290i | 0.244362 | + | 0.0519408i | ||||
\(145\) | −9.18029 | + | 14.9042i | −0.762382 | + | 1.23773i | ||||
\(146\) | −1.15266 | + | 1.47533i | −0.0953946 | + | 0.122099i | ||||
\(147\) | 0.419851 | + | 0.223239i | 0.0346287 | + | 0.0184124i | ||||
\(148\) | −6.62113 | − | 6.39395i | −0.544254 | − | 0.525580i | ||||
\(149\) | 20.1552 | − | 7.33590i | 1.65118 | − | 0.600980i | 0.662239 | − | 0.749293i | \(-0.269606\pi\) |
0.988941 | + | 0.148312i | \(0.0473841\pi\) | |||||||
\(150\) | −0.218366 | − | 0.0763091i | −0.0178295 | − | 0.00623061i | ||||
\(151\) | 5.56000 | 0.452466 | 0.226233 | − | 0.974073i | \(-0.427359\pi\) | ||||
0.226233 | + | 0.974073i | \(0.427359\pi\) | |||||||
\(152\) | −4.31077 | + | 0.645936i | −0.349650 | + | 0.0523923i | ||||
\(153\) | 7.38680 | − | 22.7342i | 0.597187 | − | 1.83795i | ||||
\(154\) | −14.5099 | + | 9.06678i | −1.16924 | + | 0.730622i | ||||
\(155\) | 16.7965 | + | 1.65613i | 1.34913 | + | 0.133023i | ||||
\(156\) | 0.0830013 | − | 0.0441326i | 0.00664543 | − | 0.00353344i | ||||
\(157\) | 3.29500 | − | 18.6868i | 0.262969 | − | 1.49137i | −0.511787 | − | 0.859113i | \(-0.671016\pi\) |
0.774756 | − | 0.632260i | \(-0.217873\pi\) | |||||||
\(158\) | −0.0100788 | + | 0.288618i | −0.000801824 | + | 0.0229612i | ||||
\(159\) | −0.0558174 | + | 0.531067i | −0.00442661 | + | 0.0421163i | ||||
\(160\) | 0.630169 | + | 2.14543i | 0.0498192 | + | 0.169611i | ||||
\(161\) | −1.30726 | + | 5.24313i | −0.103027 | + | 0.413217i | ||||
\(162\) | −8.95887 | + | 0.626465i | −0.703875 | + | 0.0492197i | ||||
\(163\) | 11.0045 | − | 4.89951i | 0.861937 | − | 0.383759i | 0.0723364 | − | 0.997380i | \(-0.476954\pi\) |
0.789600 | + | 0.613621i | \(0.210288\pi\) | |||||||
\(164\) | −6.87388 | − | 3.06045i | −0.536760 | − | 0.238981i | ||||
\(165\) | −0.297754 | − | 0.304387i | −0.0231801 | − | 0.0236965i | ||||
\(166\) | 2.98373 | − | 2.88135i | 0.231582 | − | 0.223636i | ||||
\(167\) | −3.89957 | + | 2.07344i | −0.301757 | + | 0.160447i | −0.613445 | − | 0.789737i | \(-0.710217\pi\) |
0.311688 | + | 0.950185i | \(0.399106\pi\) | |||||||
\(168\) | 0.180706 | − | 0.0657714i | 0.0139417 | − | 0.00507438i | ||||
\(169\) | 3.32318 | − | 8.22515i | 0.255629 | − | 0.632704i | ||||
\(170\) | 17.5387 | − | 3.20910i | 1.34516 | − | 0.246127i | ||||
\(171\) | 11.8887 | − | 5.42350i | 0.909153 | − | 0.414745i | ||||
\(172\) | 2.29942 | − | 7.07690i | 0.175329 | − | 0.539608i | ||||
\(173\) | −13.0645 | − | 0.913559i | −0.993276 | − | 0.0694566i | −0.436141 | − | 0.899878i | \(-0.643655\pi\) |
−0.557135 | + | 0.830422i | \(0.688100\pi\) | |||||||
\(174\) | 0.340321 | − | 0.123867i | 0.0257996 | − | 0.00939030i | ||||
\(175\) | 20.2722 | − | 4.58256i | 1.53243 | − | 0.346409i | ||||
\(176\) | −0.714762 | + | 4.05362i | −0.0538772 | + | 0.305553i | ||||
\(177\) | −0.543383 | + | 0.155813i | −0.0408432 | + | 0.0117116i | ||||
\(178\) | 2.83237 | − | 0.602040i | 0.212295 | − | 0.0451248i | ||||
\(179\) | −2.77361 | − | 3.08041i | −0.207309 | − | 0.230240i | 0.630519 | − | 0.776174i | \(-0.282842\pi\) |
−0.837829 | + | 0.545933i | \(0.816175\pi\) | |||||||
\(180\) | −3.58880 | − | 5.66183i | −0.267493 | − | 0.422008i | ||||
\(181\) | 7.64539 | + | 4.77737i | 0.568277 | + | 0.355099i | 0.783429 | − | 0.621482i | \(-0.213469\pi\) |
−0.215152 | + | 0.976581i | \(0.569025\pi\) | |||||||
\(182\) | −4.22317 | + | 7.31475i | −0.313042 | + | 0.542205i | ||||
\(183\) | 0.101553 | − | 0.112786i | 0.00750698 | − | 0.00833735i | ||||
\(184\) | 0.726936 | + | 1.07773i | 0.0535905 | + | 0.0794511i | ||||
\(185\) | 0.132504 | + | 20.5814i | 0.00974192 | + | 1.51317i | ||||
\(186\) | −0.251190 | − | 0.242571i | −0.0184181 | − | 0.0177862i | ||||
\(187\) | 31.5497 | + | 9.04674i | 2.30715 | + | 0.661563i | ||||
\(188\) | 2.63498 | + | 10.5683i | 0.192176 | + | 0.770775i | ||||
\(189\) | −0.933125 | + | 0.677955i | −0.0678748 | + | 0.0493139i | ||||
\(190\) | 7.77294 | + | 5.88059i | 0.563908 | + | 0.426623i | ||||
\(191\) | 7.15809 | + | 5.20066i | 0.517941 | + | 0.376307i | 0.815828 | − | 0.578295i | \(-0.196282\pi\) |
−0.297886 | + | 0.954601i | \(0.596282\pi\) | |||||||
\(192\) | 0.0173304 | − | 0.0428943i | 0.00125072 | − | 0.00309563i | ||||
\(193\) | 1.59824 | − | 0.581711i | 0.115044 | − | 0.0418725i | −0.283857 | − | 0.958867i | \(-0.591614\pi\) |
0.398901 | + | 0.916994i | \(0.369392\pi\) | |||||||
\(194\) | 7.35865 | − | 3.91266i | 0.528320 | − | 0.280913i | ||||
\(195\) | −0.200327 | − | 0.0636674i | −0.0143457 | − | 0.00455931i | ||||
\(196\) | −6.32803 | + | 8.09951i | −0.452002 | + | 0.578536i | ||||
\(197\) | −15.5321 | + | 3.30145i | −1.10662 | + | 0.235219i | −0.724759 | − | 0.689002i | \(-0.758049\pi\) |
−0.381858 | + | 0.924221i | \(0.624716\pi\) | |||||||
\(198\) | −1.28984 | − | 12.2721i | −0.0916653 | − | 0.872137i | ||||
\(199\) | −3.14877 | + | 2.64213i | −0.223210 | + | 0.187296i | −0.747534 | − | 0.664223i | \(-0.768762\pi\) |
0.524324 | + | 0.851519i | \(0.324318\pi\) | |||||||
\(200\) | 2.44404 | − | 4.36196i | 0.172820 | − | 0.308437i | ||||
\(201\) | 0.274682 | − | 0.475763i | 0.0193746 | − | 0.0335577i | ||||
\(202\) | 3.97188 | + | 1.76840i | 0.279461 | + | 0.124424i | ||||
\(203\) | −20.0338 | + | 25.6421i | −1.40610 | + | 1.79972i | ||||
\(204\) | −0.325710 | − | 0.173183i | −0.0228043 | − | 0.0121252i | ||||
\(205\) | 5.85618 | + | 15.7730i | 0.409013 | + | 1.10164i | ||||
\(206\) | −3.75100 | − | 4.80106i | −0.261345 | − | 0.334506i | ||||
\(207\) | −2.98538 | − | 2.50503i | −0.207498 | − | 0.174112i | ||||
\(208\) | 0.627912 | + | 1.93251i | 0.0435379 | + | 0.133996i | ||||
\(209\) | 8.01178 | + | 16.0538i | 0.554186 | + | 1.11046i | ||||
\(210\) | −0.387689 | − | 0.186008i | −0.0267531 | − | 0.0128358i | ||||
\(211\) | 9.24583 | + | 0.646531i | 0.636509 | + | 0.0445090i | 0.384366 | − | 0.923181i | \(-0.374420\pi\) |
0.252143 | + | 0.967690i | \(0.418865\pi\) | |||||||
\(212\) | −11.0954 | − | 3.18155i | −0.762035 | − | 0.218510i | ||||
\(213\) | −0.211687 | + | 0.434022i | −0.0145045 | + | 0.0297387i | ||||
\(214\) | 3.25970 | + | 6.68337i | 0.222828 | + | 0.456866i | ||||
\(215\) | −14.9076 | + | 7.39009i | −1.01669 | + | 0.504000i | ||||
\(216\) | −0.0290044 | + | 0.275959i | −0.00197350 | + | 0.0187766i | ||||
\(217\) | 30.6896 | + | 6.52327i | 2.08335 | + | 0.442829i | ||||
\(218\) | −3.00262 | + | 2.51950i | −0.203363 | + | 0.170642i | ||||
\(219\) | −0.0734534 | − | 0.0458988i | −0.00496352 | − | 0.00310155i | ||||
\(220\) | 7.59717 | − | 5.19583i | 0.512201 | − | 0.350303i | ||||
\(221\) | 15.8483 | − | 3.36867i | 1.06607 | − | 0.226601i | ||||
\(222\) | 0.262164 | − | 0.335555i | 0.0175953 | − | 0.0225210i | ||||
\(223\) | −2.28192 | − | 4.67864i | −0.152809 | − | 0.313305i | 0.808633 | − | 0.588314i | \(-0.200208\pi\) |
−0.961442 | + | 0.275009i | \(0.911319\pi\) | |||||||
\(224\) | 0.721809 | + | 4.09358i | 0.0482279 | + | 0.273514i | ||||
\(225\) | −3.43868 | + | 14.5895i | −0.229245 | + | 0.972636i | ||||
\(226\) | −0.447495 | − | 0.375493i | −0.0297669 | − | 0.0249774i | ||||
\(227\) | 22.6120 | − | 16.4286i | 1.50081 | − | 1.09040i | 0.530752 | − | 0.847527i | \(-0.321910\pi\) |
0.970058 | − | 0.242875i | \(-0.0780905\pi\) | |||||||
\(228\) | −0.0505653 | − | 0.195213i | −0.00334877 | − | 0.0129283i | ||||
\(229\) | −3.46734 | + | 10.6714i | −0.229128 | + | 0.705184i | 0.768718 | + | 0.639588i | \(0.220895\pi\) |
−0.997846 | + | 0.0655960i | \(0.979105\pi\) | |||||||
\(230\) | 0.586046 | − | 2.84714i | 0.0386428 | − | 0.187735i | ||||
\(231\) | −0.487326 | − | 0.623748i | −0.0320637 | − | 0.0410396i | ||||
\(232\) | 1.35937 | + | 7.70939i | 0.0892473 | + | 0.506146i | ||||
\(233\) | −17.3630 | + | 2.44021i | −1.13749 | + | 0.159864i | −0.682674 | − | 0.730723i | \(-0.739183\pi\) |
−0.454814 | + | 0.890587i | \(0.650294\pi\) | |||||||
\(234\) | −3.40635 | − | 5.05012i | −0.222680 | − | 0.330137i | ||||
\(235\) | 12.7729 | − | 20.7368i | 0.833214 | − | 1.35272i | ||||
\(236\) | −1.27722 | − | 12.1519i | −0.0831399 | − | 0.791023i | ||||
\(237\) | −0.0133279 | 0.000931980i | −0.000865742 | 6.05386e-5i | ||||||
\(238\) | 33.0640 | − | 2.31206i | 2.14322 | − | 0.149869i | ||||
\(239\) | 1.52971 | + | 14.5542i | 0.0989485 | + | 0.941432i | 0.925545 | + | 0.378637i | \(0.123607\pi\) |
−0.826597 | + | 0.562795i | \(0.809726\pi\) | |||||||
\(240\) | −0.0956631 | + | 0.0393687i | −0.00617503 | + | 0.00254124i | ||||
\(241\) | 9.09566 | + | 13.4849i | 0.585903 | + | 0.868637i | 0.999118 | − | 0.0419968i | \(-0.0133719\pi\) |
−0.413215 | + | 0.910634i | \(0.635594\pi\) | |||||||
\(242\) | 5.88488 | − | 0.827066i | 0.378295 | − | 0.0531658i | ||||
\(243\) | −0.216698 | − | 1.22895i | −0.0139012 | − | 0.0788374i | ||||
\(244\) | 2.01971 | + | 2.58511i | 0.129298 | + | 0.165494i | ||||
\(245\) | 22.8414 | − | 2.54951i | 1.45928 | − | 0.162882i | ||||
\(246\) | 0.107569 | − | 0.331064i | 0.00685836 | − | 0.0211079i | ||||
\(247\) | 7.21270 | + | 5.14061i | 0.458933 | + | 0.327089i | ||||
\(248\) | 6.10650 | − | 4.43663i | 0.387763 | − | 0.281726i | ||||
\(249\) | 0.146999 | + | 0.123346i | 0.00931565 | + | 0.00781676i | ||||
\(250\) | −10.7940 | + | 2.91377i | −0.682671 | + | 0.184283i | ||||
\(251\) | −0.703334 | − | 3.98880i | −0.0443940 | − | 0.251771i | 0.954532 | − | 0.298109i | \(-0.0963559\pi\) |
−0.998926 | + | 0.0463381i | \(0.985245\pi\) | |||||||
\(252\) | −5.46267 | − | 11.2001i | −0.344116 | − | 0.705543i | ||||
\(253\) | 3.29434 | − | 4.21656i | 0.207113 | − | 0.265093i | ||||
\(254\) | −4.22676 | + | 0.898426i | −0.265211 | + | 0.0563722i | ||||
\(255\) | 0.232463 | + | 0.791428i | 0.0145574 | + | 0.0495611i | ||||
\(256\) | 0.848048 | + | 0.529919i | 0.0530030 | + | 0.0331200i | ||||
\(257\) | −5.60805 | + | 4.70571i | −0.349820 | + | 0.293534i | −0.800718 | − | 0.599042i | \(-0.795548\pi\) |
0.450898 | + | 0.892576i | \(0.351104\pi\) | |||||||
\(258\) | 0.336724 | + | 0.0715730i | 0.0209635 | + | 0.00445594i | ||||
\(259\) | −3.99931 | + | 38.0509i | −0.248505 | + | 2.36437i | ||||
\(260\) | 2.10723 | − | 4.02542i | 0.130685 | − | 0.249646i | ||||
\(261\) | −10.2878 | − | 21.0931i | −0.636798 | − | 1.30563i | ||||
\(262\) | 0.934363 | − | 1.91573i | 0.0577252 | − | 0.118354i | ||||
\(263\) | −9.67352 | − | 2.77384i | −0.596495 | − | 0.171042i | −0.0362128 | − | 0.999344i | \(-0.511529\pi\) |
−0.560282 | + | 0.828302i | \(0.689307\pi\) | |||||||
\(264\) | −0.189962 | − | 0.0132834i | −0.0116913 | − | 0.000817538i | ||||
\(265\) | 12.2635 | + | 22.7103i | 0.753339 | + | 1.39508i | ||||
\(266\) | 13.1477 | + | 12.4671i | 0.806135 | + | 0.764408i | ||||
\(267\) | 0.0413964 | + | 0.127405i | 0.00253342 | + | 0.00779705i | ||||
\(268\) | 9.09662 | + | 7.63297i | 0.555665 | + | 0.466258i | ||||
\(269\) | −1.87833 | − | 2.40415i | −0.114524 | − | 0.146584i | 0.727333 | − | 0.686285i | \(-0.240760\pi\) |
−0.841857 | + | 0.539701i | \(0.818537\pi\) | |||||||
\(270\) | 0.486461 | − | 0.385134i | 0.0296051 | − | 0.0234385i | ||||
\(271\) | −7.57445 | − | 4.02741i | −0.460115 | − | 0.244647i | 0.223198 | − | 0.974773i | \(-0.428350\pi\) |
−0.683313 | + | 0.730126i | \(0.739461\pi\) | |||||||
\(272\) | 4.90913 | − | 6.28340i | 0.297660 | − | 0.380987i | ||||
\(273\) | −0.356971 | − | 0.158934i | −0.0216048 | − | 0.00961909i | ||||
\(274\) | 2.19856 | − | 3.80803i | 0.132820 | − | 0.230051i | ||||
\(275\) | −20.1845 | − | 4.01943i | −1.21717 | − | 0.242381i | ||||
\(276\) | −0.0460704 | + | 0.0386577i | −0.00277311 | + | 0.00232692i | ||||
\(277\) | −1.00306 | − | 9.54346i | −0.0602679 | − | 0.573411i | −0.982433 | − | 0.186615i | \(-0.940248\pi\) |
0.922165 | − | 0.386796i | \(-0.126418\pi\) | |||||||
\(278\) | −4.91248 | + | 1.04418i | −0.294631 | + | 0.0626258i | ||||
\(279\) | −13.9312 | + | 17.8311i | −0.834038 | + | 1.06752i | ||||
\(280\) | 5.41478 | − | 7.55462i | 0.323595 | − | 0.451475i | ||||
\(281\) | 24.3343 | − | 12.9388i | 1.45167 | − | 0.771864i | 0.458513 | − | 0.888688i | \(-0.348382\pi\) |
0.993153 | + | 0.116823i | \(0.0372712\pi\) | |||||||
\(282\) | −0.473502 | + | 0.172341i | −0.0281966 | + | 0.0102627i | ||||
\(283\) | −2.84580 | + | 7.04359i | −0.169165 | + | 0.418698i | −0.987823 | − | 0.155584i | \(-0.950274\pi\) |
0.818658 | + | 0.574282i | \(0.194719\pi\) | |||||||
\(284\) | −8.44453 | − | 6.13531i | −0.501091 | − | 0.364064i | ||||
\(285\) | −0.232975 | + | 0.386067i | −0.0138003 | + | 0.0228686i | ||||
\(286\) | 6.76652 | − | 4.91617i | 0.400113 | − | 0.290699i | ||||
\(287\) | 7.56657 | + | 30.3479i | 0.446641 | + | 1.79138i | ||||
\(288\) | −2.88173 | − | 0.826322i | −0.169807 | − | 0.0486915i | ||||
\(289\) | −33.5073 | − | 32.3577i | −1.97102 | − | 1.90339i | ||||
\(290\) | 10.1976 | − | 14.2275i | 0.598823 | − | 0.835468i | ||||
\(291\) | 0.215605 | + | 0.319647i | 0.0126390 | + | 0.0187381i | ||||
\(292\) | 1.25276 | − | 1.39133i | 0.0733124 | − | 0.0814217i | ||||
\(293\) | −1.00887 | + | 1.74742i | −0.0589389 | + | 0.102085i | −0.893989 | − | 0.448088i | \(-0.852105\pi\) |
0.835050 | + | 0.550173i | \(0.185438\pi\) | |||||||
\(294\) | −0.403256 | − | 0.251982i | −0.0235184 | − | 0.0146959i | ||||
\(295\) | −17.4273 | + | 21.0427i | −1.01465 | + | 1.22515i | ||||
\(296\) | 6.15898 | + | 6.84024i | 0.357984 | + | 0.397581i | ||||
\(297\) | 1.11719 | − | 0.237465i | 0.0648258 | − | 0.0137791i | ||||
\(298\) | −20.6178 | + | 5.91207i | −1.19436 | + | 0.342477i | ||||
\(299\) | 0.458692 | − | 2.60137i | 0.0265269 | − | 0.150441i | ||||
\(300\) | 0.212511 | + | 0.0913556i | 0.0122693 | + | 0.00527442i | ||||
\(301\) | −29.0653 | + | 10.5789i | −1.67529 | + | 0.609757i | ||||
\(302\) | −5.54645 | − | 0.387846i | −0.319163 | − | 0.0223180i | ||||
\(303\) | −0.0621558 | + | 0.191296i | −0.00357076 | + | 0.0109897i | ||||
\(304\) | 4.34533 | − | 0.343658i | 0.249222 | − | 0.0197102i | ||||
\(305\) | 0.974121 | − | 7.27056i | 0.0557780 | − | 0.416311i | ||||
\(306\) | −8.95467 | + | 22.1636i | −0.511904 | + | 1.26701i | ||||
\(307\) | −13.8087 | + | 5.02596i | −0.788105 | + | 0.286847i | −0.704548 | − | 0.709656i | \(-0.748850\pi\) |
−0.0835566 | + | 0.996503i | \(0.526628\pi\) | |||||||
\(308\) | 15.1070 | − | 8.03254i | 0.860802 | − | 0.457696i | ||||
\(309\) | 0.202756 | − | 0.195799i | 0.0115344 | − | 0.0111386i | ||||
\(310\) | −16.6401 | − | 2.82376i | −0.945092 | − | 0.160379i | ||||
\(311\) | 31.2853 | + | 13.9291i | 1.77403 | + | 0.789847i | 0.984327 | + | 0.176353i | \(0.0564300\pi\) |
0.789699 | + | 0.613494i | \(0.210237\pi\) | |||||||
\(312\) | −0.0858777 | + | 0.0382352i | −0.00486187 | + | 0.00216464i | ||||
\(313\) | 19.3153 | − | 1.35066i | 1.09176 | − | 0.0763436i | 0.487497 | − | 0.873125i | \(-0.337910\pi\) |
0.604268 | + | 0.796781i | \(0.293466\pi\) | |||||||
\(314\) | −4.59050 | + | 18.4115i | −0.259057 | + | 1.03902i | ||||
\(315\) | −9.36139 | + | 26.2447i | −0.527455 | + | 1.47872i | ||||
\(316\) | 0.0301872 | − | 0.287212i | 0.00169816 | − | 0.0161569i | ||||
\(317\) | 0.898644 | − | 25.7338i | 0.0504729 | − | 1.44535i | −0.665067 | − | 0.746783i | \(-0.731597\pi\) |
0.715540 | − | 0.698571i | \(-0.246181\pi\) | |||||||
\(318\) | 0.0927268 | − | 0.525880i | 0.00519986 | − | 0.0294899i | ||||
\(319\) | 28.4508 | − | 15.1276i | 1.59294 | − | 0.846982i | ||||
\(320\) | −0.478976 | − | 2.18417i | −0.0267756 | − | 0.122099i | ||||
\(321\) | −0.291735 | + | 0.182297i | −0.0162831 | + | 0.0101748i | ||||
\(322\) | 1.66982 | − | 5.13917i | 0.0930553 | − | 0.286395i | ||||
\(323\) | 0.896529 | − | 34.7452i | 0.0498842 | − | 1.93328i | ||||
\(324\) | 8.98074 | 0.498930 | ||||||||
\(325\) | −9.72939 | + | 2.92594i | −0.539689 | + | 0.162302i | ||||
\(326\) | −11.3194 | + | 4.11994i | −0.626926 | + | 0.228182i | ||||
\(327\) | −0.130441 | − | 0.125965i | −0.00721340 | − | 0.00696590i | ||||
\(328\) | 6.64365 | + | 3.53249i | 0.366834 | + | 0.195049i | ||||
\(329\) | 27.8738 | − | 35.6769i | 1.53673 | − | 1.96693i | ||||
\(330\) | 0.275796 | + | 0.324416i | 0.0151821 | + | 0.0178585i | ||||
\(331\) | 0.752192 | + | 0.159883i | 0.0413442 | + | 0.00878798i | 0.228537 | − | 0.973535i | \(-0.426606\pi\) |
−0.187193 | + | 0.982323i | \(0.559939\pi\) | |||||||
\(332\) | −3.17745 | + | 2.66620i | −0.174385 | + | 0.146327i | ||||
\(333\) | −23.4008 | − | 14.6224i | −1.28235 | − | 0.801303i | ||||
\(334\) | 4.03470 | − | 1.79636i | 0.220769 | − | 0.0982927i | ||||
\(335\) | −2.02272 | − | 26.4757i | −0.110513 | − | 1.44652i | ||||
\(336\) | −0.184853 | + | 0.0530058i | −0.0100846 | + | 0.00289171i | ||||
\(337\) | 10.5432 | − | 10.1815i | 0.574327 | − | 0.554621i | −0.349742 | − | 0.936846i | \(-0.613731\pi\) |
0.924069 | + | 0.382225i | \(0.124842\pi\) | |||||||
\(338\) | −3.88884 | + | 7.97330i | −0.211525 | + | 0.433691i | ||||
\(339\) | 0.0151123 | − | 0.0224049i | 0.000820785 | − | 0.00121686i | ||||
\(340\) | −17.7198 | + | 1.97785i | −0.960992 | + | 0.107264i | ||||
\(341\) | −25.1353 | − | 18.2619i | −1.36115 | − | 0.988935i | ||||
\(342\) | −12.2381 | + | 4.58097i | −0.661760 | + | 0.247711i | ||||
\(343\) | 13.6275 | 0.735817 | ||||||||
\(344\) | −2.78748 | + | 6.89926i | −0.150291 | + | 0.371983i | ||||
\(345\) | 0.133830 | + | 0.0131955i | 0.00720515 | + | 0.000710424i | ||||
\(346\) | 12.9690 | + | 1.82267i | 0.697215 | + | 0.0979872i | ||||
\(347\) | 0.703080 | + | 0.373834i | 0.0377433 | + | 0.0200685i | 0.488236 | − | 0.872712i | \(-0.337641\pi\) |
−0.450493 | + | 0.892780i | \(0.648752\pi\) | |||||||
\(348\) | −0.348132 | + | 0.0998252i | −0.0186618 | + | 0.00535119i | ||||
\(349\) | 13.1497 | + | 22.7760i | 0.703888 | + | 1.21917i | 0.967091 | + | 0.254430i | \(0.0818877\pi\) |
−0.263203 | + | 0.964740i | \(0.584779\pi\) | |||||||
\(350\) | −20.5424 | + | 3.15729i | −1.09804 | + | 0.168764i | ||||
\(351\) | 0.431917 | − | 0.362421i | 0.0230540 | − | 0.0193446i | ||||
\(352\) | 0.995788 | − | 3.99389i | 0.0530757 | − | 0.212875i | ||||
\(353\) | 0.0373123 | + | 0.0414395i | 0.00198593 | + | 0.00220560i | 0.744137 | − | 0.668027i | \(-0.232861\pi\) |
−0.742151 | + | 0.670233i | \(0.766194\pi\) | |||||||
\(354\) | 0.552928 | − | 0.117529i | 0.0293878 | − | 0.00624657i | ||||
\(355\) | 3.39705 | + | 23.0916i | 0.180297 | + | 1.22557i | ||||
\(356\) | −2.86747 | + | 0.402997i | −0.151976 | + | 0.0213588i | ||||
\(357\) | 0.266268 | + | 1.51008i | 0.0140924 | + | 0.0799219i | ||||
\(358\) | 2.55198 | + | 3.26638i | 0.134876 | + | 0.172634i | ||||
\(359\) | 3.19600 | + | 12.8185i | 0.168678 | + | 0.676532i | 0.993762 | + | 0.111522i | \(0.0355724\pi\) |
−0.825084 | + | 0.565011i | \(0.808872\pi\) | |||||||
\(360\) | 3.18510 | + | 5.89838i | 0.167870 | + | 0.310872i | ||||
\(361\) | 14.3299 | − | 12.4761i | 0.754207 | − | 0.656636i | ||||
\(362\) | −7.29351 | − | 5.29905i | −0.383338 | − | 0.278512i | ||||
\(363\) | 0.0665110 | + | 0.266761i | 0.00349092 | + | 0.0140013i | ||||
\(364\) | 4.72313 | − | 7.00233i | 0.247559 | − | 0.367022i | ||||
\(365\) | −4.18285 | + | 0.173037i | −0.218940 | + | 0.00905715i | ||||
\(366\) | −0.109173 | + | 0.105427i | −0.00570655 | + | 0.00551075i | ||||
\(367\) | 0.0971882 | − | 2.78311i | 0.00507319 | − | 0.145277i | −0.994211 | − | 0.107446i | \(-0.965733\pi\) |
0.999284 | − | 0.0378313i | \(-0.0120450\pi\) | |||||||
\(368\) | −0.649987 | − | 1.12581i | −0.0338829 | − | 0.0586869i | ||||
\(369\) | −22.0642 | − | 4.68988i | −1.14861 | − | 0.244146i | ||||
\(370\) | 1.30350 | − | 20.5405i | 0.0677658 | − | 1.06785i | ||||
\(371\) | 17.9733 | + | 44.4856i | 0.933129 | + | 2.30958i | ||||
\(372\) | 0.233657 | + | 0.259503i | 0.0121146 | + | 0.0134546i | ||||
\(373\) | 4.31063 | + | 1.91922i | 0.223196 | + | 0.0993733i | 0.515288 | − | 0.857017i | \(-0.327685\pi\) |
−0.292092 | + | 0.956390i | \(0.594351\pi\) | |||||||
\(374\) | −30.8418 | − | 11.2255i | −1.59479 | − | 0.580457i | ||||
\(375\) | −0.186259 | − | 0.482536i | −0.00961837 | − | 0.0249180i | ||||
\(376\) | −1.89135 | − | 10.7264i | −0.0975391 | − | 0.553172i | ||||
\(377\) | 8.89502 | − | 13.1874i | 0.458117 | − | 0.679186i | ||||
\(378\) | 0.978143 | − | 0.611212i | 0.0503103 | − | 0.0314373i | ||||
\(379\) | −0.779465 | + | 2.39895i | −0.0400384 | + | 0.123226i | −0.969078 | − | 0.246755i | \(-0.920636\pi\) |
0.929039 | + | 0.369981i | \(0.120636\pi\) | |||||||
\(380\) | −7.34380 | − | 6.40848i | −0.376729 | − | 0.328748i | ||||
\(381\) | −0.0617759 | − | 0.190127i | −0.00316488 | − | 0.00974049i | ||||
\(382\) | −6.77788 | − | 5.68731i | −0.346786 | − | 0.290988i | ||||
\(383\) | 12.0582 | + | 15.4338i | 0.616147 | + | 0.788632i | 0.990331 | − | 0.138722i | \(-0.0442995\pi\) |
−0.374184 | + | 0.927354i | \(0.622077\pi\) | |||||||
\(384\) | −0.0202804 | + | 0.0415809i | −0.00103493 | + | 0.00212192i | ||||
\(385\) | −36.4614 | − | 11.5880i | −1.85825 | − | 0.590582i | ||||
\(386\) | −1.63492 | + | 0.468807i | −0.0832154 | + | 0.0238616i | ||||
\(387\) | 2.33175 | − | 22.1851i | 0.118530 | − | 1.12773i | ||||
\(388\) | −7.61366 | + | 3.38982i | −0.386525 | + | 0.172092i | ||||
\(389\) | 1.78769 | − | 7.17005i | 0.0906396 | − | 0.363536i | −0.907798 | − | 0.419407i | \(-0.862238\pi\) |
0.998438 | + | 0.0558712i | \(0.0177936\pi\) | |||||||
\(390\) | 0.195398 | + | 0.0774864i | 0.00989436 | + | 0.00392368i | ||||
\(391\) | −9.46951 | + | 4.21610i | −0.478894 | + | 0.213217i | ||||
\(392\) | 6.87761 | − | 7.63836i | 0.347372 | − | 0.385795i | ||||
\(393\) | 0.0926602 | + | 0.0337256i | 0.00467409 | + | 0.00170123i | ||||
\(394\) | 15.7246 | − | 2.20995i | 0.792193 | − | 0.111335i | ||||
\(395\) | −0.506298 | + | 0.400839i | −0.0254746 | + | 0.0201684i | ||||
\(396\) | 0.430648 | + | 12.3321i | 0.0216409 | + | 0.619713i | ||||
\(397\) | −19.8034 | + | 12.3745i | −0.993905 | + | 0.621061i | −0.926354 | − | 0.376655i | \(-0.877074\pi\) |
−0.0675514 | + | 0.997716i | \(0.521519\pi\) | |||||||
\(398\) | 3.32540 | − | 2.41605i | 0.166687 | − | 0.121105i | ||||
\(399\) | −0.510027 | + | 0.665207i | −0.0255333 | + | 0.0333020i | ||||
\(400\) | −2.74236 | + | 4.18084i | −0.137118 | + | 0.209042i | ||||
\(401\) | 19.5878 | + | 16.4361i | 0.978167 | + | 0.820780i | 0.983812 | − | 0.179204i | \(-0.0573524\pi\) |
−0.00564478 | + | 0.999984i | \(0.501797\pi\) | |||||||
\(402\) | −0.307200 | + | 0.455443i | −0.0153218 | + | 0.0227154i | ||||
\(403\) | −15.1881 | − | 2.13455i | −0.756574 | − | 0.106330i | ||||
\(404\) | −3.83885 | − | 2.04115i | −0.190990 | − | 0.101551i | ||||
\(405\) | −14.0425 | − | 14.3554i | −0.697779 | − | 0.713323i | ||||
\(406\) | 21.7737 | − | 24.1821i | 1.08061 | − | 1.20014i | ||||
\(407\) | 18.9435 | − | 32.8111i | 0.938993 | − | 1.62638i | ||||
\(408\) | 0.312836 | + | 0.195482i | 0.0154877 | + | 0.00967778i | ||||
\(409\) | −0.387085 | + | 0.0270676i | −0.0191401 | + | 0.00133841i | −0.0793233 | − | 0.996849i | \(-0.525276\pi\) |
0.0601832 | + | 0.998187i | \(0.480832\pi\) | |||||||
\(410\) | −4.74165 | − | 16.1431i | −0.234173 | − | 0.797251i | ||||
\(411\) | 0.185837 | + | 0.0827401i | 0.00916668 | + | 0.00408127i | ||||
\(412\) | 3.40696 | + | 5.05103i | 0.167849 | + | 0.248846i | ||||
\(413\) | −36.5357 | + | 35.2821i | −1.79780 | + | 1.73612i | ||||
\(414\) | 2.80337 | + | 2.70718i | 0.137778 | + | 0.133051i | ||||
\(415\) | 9.23017 | + | 0.910089i | 0.453091 | + | 0.0446745i | ||||
\(416\) | −0.491577 | − | 1.97161i | −0.0241016 | − | 0.0966660i | ||||
\(417\) | −0.0717981 | − | 0.220972i | −0.00351597 | − | 0.0108210i | ||||
\(418\) | −6.87241 | − | 16.5735i | −0.336141 | − | 0.810637i | ||||
\(419\) | −9.48531 | − | 29.1928i | −0.463388 | − | 1.42616i | −0.860999 | − | 0.508607i | \(-0.830161\pi\) |
0.397611 | − | 0.917554i | \(-0.369839\pi\) | |||||||
\(420\) | 0.373769 | + | 0.212599i | 0.0182381 | + | 0.0103738i | ||||
\(421\) | 0.528445 | + | 15.1327i | 0.0257548 | + | 0.737522i | 0.941746 | + | 0.336324i | \(0.109184\pi\) |
−0.915992 | + | 0.401198i | \(0.868594\pi\) | |||||||
\(422\) | −9.17820 | − | 1.28991i | −0.446788 | − | 0.0627919i | ||||
\(423\) | 14.3138 | + | 29.3477i | 0.695962 | + | 1.42693i | ||||
\(424\) | 10.8464 | + | 3.94778i | 0.526749 | + | 0.191721i | ||||
\(425\) | 30.8687 | + | 25.2318i | 1.49735 | + | 1.22392i | ||||
\(426\) | 0.241447 | − | 0.418198i | 0.0116981 | − | 0.0202618i | ||||
\(427\) | 3.29893 | − | 13.2313i | 0.159647 | − | 0.640307i | ||||
\(428\) | −2.78555 | − | 6.89447i | −0.134645 | − | 0.333257i | ||||
\(429\) | 0.258912 | + | 0.287551i | 0.0125004 | + | 0.0138831i | ||||
\(430\) | 15.3868 | − | 6.33219i | 0.742016 | − | 0.305365i | ||||
\(431\) | 0.0466116 | − | 1.33478i | 0.00224520 | − | 0.0642942i | −0.997751 | − | 0.0670285i | \(-0.978648\pi\) |
0.999996 | + | 0.00273433i | \(0.000870366\pi\) | |||||||
\(432\) | 0.0481837 | − | 0.273263i | 0.00231824 | − | 0.0131474i | ||||
\(433\) | −4.03672 | + | 2.14636i | −0.193992 | + | 0.103148i | −0.563626 | − | 0.826030i | \(-0.690594\pi\) |
0.369634 | + | 0.929177i | \(0.379483\pi\) | |||||||
\(434\) | −30.1598 | − | 8.64818i | −1.44772 | − | 0.415126i | ||||
\(435\) | 0.703915 | + | 0.400385i | 0.0337501 | + | 0.0191970i | ||||
\(436\) | 3.17106 | − | 2.30391i | 0.151866 | − | 0.110337i | ||||
\(437\) | −5.19734 | − | 2.25750i | −0.248623 | − | 0.107991i | ||||
\(438\) | 0.0700728 | + | 0.0509109i | 0.00334821 | + | 0.00243261i | ||||
\(439\) | 3.41017 | + | 0.238462i | 0.162759 | + | 0.0113812i | 0.150903 | − | 0.988549i | \(-0.451782\pi\) |
0.0118553 | + | 0.999930i | \(0.496226\pi\) | |||||||
\(440\) | −7.94110 | + | 4.65322i | −0.378577 | + | 0.221834i | ||||
\(441\) | −13.5076 | + | 27.6948i | −0.643221 | + | 1.31880i | ||||
\(442\) | −16.0447 | + | 2.25494i | −0.763169 | + | 0.107256i | ||||
\(443\) | 14.0378 | + | 5.10934i | 0.666956 | + | 0.242752i | 0.653237 | − | 0.757154i | \(-0.273411\pi\) |
0.0137192 | + | 0.999906i | \(0.495633\pi\) | |||||||
\(444\) | −0.284933 | + | 0.316450i | −0.0135223 | + | 0.0150181i | ||||
\(445\) | 5.12783 | + | 3.95340i | 0.243082 | + | 0.187409i | ||||
\(446\) | 1.95000 | + | 4.82642i | 0.0923352 | + | 0.228538i | ||||
\(447\) | −0.371716 | − | 0.920028i | −0.0175815 | − | 0.0435158i | ||||
\(448\) | −0.434497 | − | 4.13396i | −0.0205280 | − | 0.195311i | ||||
\(449\) | −10.3177 | − | 17.8708i | −0.486924 | − | 0.843377i | 0.512963 | − | 0.858411i | \(-0.328548\pi\) |
−0.999887 | + | 0.0150335i | \(0.995215\pi\) | |||||||
\(450\) | 4.44801 | − | 14.3141i | 0.209681 | − | 0.674774i | ||||
\(451\) | 5.37816 | − | 30.5011i | 0.253248 | − | 1.43624i | ||||
\(452\) | 0.420212 | + | 0.405794i | 0.0197651 | + | 0.0190869i | ||||
\(453\) | −0.00897692 | − | 0.257065i | −0.000421773 | − | 0.0120780i | ||||
\(454\) | −23.7029 | + | 14.8112i | −1.11243 | + | 0.695125i | ||||
\(455\) | −18.5782 | + | 3.39930i | −0.870958 | + | 0.159362i | ||||
\(456\) | 0.0368247 | + | 0.198265i | 0.00172447 | + | 0.00928460i | ||||
\(457\) | −16.3714 | −0.765822 | −0.382911 | − | 0.923785i | \(-0.625078\pi\) | ||||
−0.382911 | + | 0.923785i | \(0.625078\pi\) | |||||||
\(458\) | 4.20329 | − | 10.4035i | 0.196407 | − | 0.486124i | ||||
\(459\) | −2.12684 | − | 0.609861i | −0.0992723 | − | 0.0284659i | ||||
\(460\) | −0.783225 | + | 2.79933i | −0.0365181 | + | 0.130519i | ||||
\(461\) | −13.8643 | − | 28.4261i | −0.645726 | − | 1.32394i | −0.930835 | − | 0.365440i | \(-0.880919\pi\) |
0.285109 | − | 0.958495i | \(-0.407970\pi\) | |||||||
\(462\) | 0.442628 | + | 0.656223i | 0.0205929 | + | 0.0305303i | ||||
\(463\) | 2.96371 | − | 28.1978i | 0.137735 | − | 1.31046i | −0.679294 | − | 0.733866i | \(-0.737714\pi\) |
0.817029 | − | 0.576597i | \(-0.195620\pi\) | |||||||
\(464\) | −0.818282 | − | 7.78544i | −0.0379878 | − | 0.361430i | ||||
\(465\) | 0.0494518 | − | 0.779257i | 0.00229327 | − | 0.0361372i | ||||
\(466\) | 17.4909 | − | 1.22308i | 0.810251 | − | 0.0566583i | ||||
\(467\) | 1.00405 | + | 0.213418i | 0.0464621 | + | 0.00987582i | 0.231084 | − | 0.972934i | \(-0.425773\pi\) |
−0.184622 | + | 0.982810i | \(0.559106\pi\) | |||||||
\(468\) | 3.04578 | + | 5.27544i | 0.140791 | + | 0.243857i | ||||
\(469\) | 1.72265 | − | 49.3303i | 0.0795447 | − | 2.27786i | ||||
\(470\) | −14.1883 | + | 19.7953i | −0.654459 | + | 0.913090i | ||||
\(471\) | −0.869303 | − | 0.122173i | −0.0400554 | − | 0.00562941i | ||||
\(472\) | 0.426432 | + | 12.2114i | 0.0196281 | + | 0.562076i | ||||
\(473\) | 30.5541 | + | 2.13655i | 1.40488 | + | 0.0982386i | ||||
\(474\) | 0.0133605 | 0.000613667 | ||||||||
\(475\) | 1.23926 | + | 21.7592i | 0.0568612 | + | 0.998382i | ||||
\(476\) | −33.1447 | −1.51919 | ||||||||
\(477\) | −34.5186 | − | 2.41378i | −1.58050 | − | 0.110519i | ||||
\(478\) | −0.510731 | − | 14.6254i | −0.0233603 | − | 0.668952i | ||||
\(479\) | 4.92659 | + | 0.692387i | 0.225102 | + | 0.0316360i | 0.250822 | − | 0.968033i | \(-0.419299\pi\) |
−0.0257205 | + | 0.999669i | \(0.508188\pi\) | |||||||
\(480\) | 0.0981763 | − | 0.0325997i | 0.00448111 | − | 0.00148796i | ||||
\(481\) | 0.652730 | − | 18.6918i | 0.0297619 | − | 0.852270i | ||||
\(482\) | −8.13285 | − | 14.0865i | −0.370441 | − | 0.641623i | ||||
\(483\) | 0.244526 | + | 0.0519756i | 0.0111263 | + | 0.00236497i | ||||
\(484\) | −5.92824 | + | 0.414543i | −0.269465 | + | 0.0188429i | ||||
\(485\) | 17.3234 | + | 6.86971i | 0.786615 | + | 0.311937i | ||||
\(486\) | 0.130442 | + | 1.24108i | 0.00591699 | + | 0.0562964i | ||||
\(487\) | −1.53130 | + | 14.5693i | −0.0693898 | + | 0.660200i | 0.903446 | + | 0.428702i | \(0.141029\pi\) |
−0.972836 | + | 0.231497i | \(0.925638\pi\) | |||||||
\(488\) | −1.83446 | − | 2.71970i | −0.0830420 | − | 0.123115i | ||||
\(489\) | −0.244295 | − | 0.500879i | −0.0110474 | − | 0.0226505i | ||||
\(490\) | −22.9636 | + | 0.949962i | −1.03739 | + | 0.0429149i | ||||
\(491\) | 3.22586 | + | 0.925000i | 0.145581 | + | 0.0417447i | 0.347636 | − | 0.937629i | \(-0.386984\pi\) |
−0.202055 | + | 0.979374i | \(0.564762\pi\) | |||||||
\(492\) | −0.130401 | + | 0.322754i | −0.00587893 | + | 0.0145509i | ||||
\(493\) | −62.4211 | −2.81130 | ||||||||
\(494\) | −6.83654 | − | 5.63122i | −0.307590 | − | 0.253360i | ||||
\(495\) | 19.0390 | − | 19.9712i | 0.855741 | − | 0.897640i | ||||
\(496\) | −6.40111 | + | 3.99986i | −0.287418 | + | 0.179599i | ||||
\(497\) | 1.51422 | + | 43.3616i | 0.0679221 | + | 1.94503i | ||||
\(498\) | −0.138036 | − | 0.133300i | −0.00618555 | − | 0.00597332i | ||||
\(499\) | −5.46012 | + | 30.9659i | −0.244429 | + | 1.38622i | 0.577388 | + | 0.816470i | \(0.304072\pi\) |
−0.821816 | + | 0.569753i | \(0.807039\pi\) | |||||||
\(500\) | 10.9709 | − | 2.15373i | 0.490635 | − | 0.0963176i | ||||
\(501\) | 0.102161 | + | 0.176948i | 0.00456421 | + | 0.00790545i | ||||
\(502\) | 0.423376 | + | 4.02815i | 0.0188962 | + | 0.179785i | ||||
\(503\) | −0.737790 | − | 1.82609i | −0.0328964 | − | 0.0814215i | 0.909841 | − | 0.414956i | \(-0.136203\pi\) |
−0.942738 | + | 0.333535i | \(0.891759\pi\) | |||||||
\(504\) | 4.66809 | + | 11.5539i | 0.207933 | + | 0.514652i | ||||
\(505\) | 2.73983 | + | 9.32784i | 0.121921 | + | 0.415084i | ||||
\(506\) | −3.58045 | + | 3.97649i | −0.159170 | + | 0.176776i | ||||
\(507\) | −0.385654 | − | 0.140366i | −0.0171275 | − | 0.00623389i | ||||
\(508\) | 4.27914 | − | 0.601393i | 0.189856 | − | 0.0266825i | ||||
\(509\) | 8.84120 | − | 18.1271i | 0.391879 | − | 0.803472i | −0.608075 | − | 0.793880i | \(-0.708058\pi\) |
0.999954 | − | 0.00959190i | \(-0.00305324\pi\) | |||||||
\(510\) | −0.176689 | − | 0.805716i | −0.00782393 | − | 0.0356777i | ||||
\(511\) | −7.76338 | − | 0.542868i | −0.343432 | − | 0.0240151i | ||||
\(512\) | −0.809017 | − | 0.587785i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | −0.540092 | − | 1.08222i | −0.0238456 | − | 0.0477811i | ||||
\(514\) | 5.92264 | − | 4.30305i | 0.261236 | − | 0.189799i | ||||
\(515\) | 2.74665 | − | 13.3438i | 0.121032 | − | 0.587998i | ||||
\(516\) | −0.330911 | − | 0.0948873i | −0.0145676 | − | 0.00417718i | ||||
\(517\) | −39.5848 | + | 21.0476i | −1.74094 | + | 0.925674i | ||||
\(518\) | 6.64386 | − | 37.6792i | 0.291914 | − | 1.65553i | ||||
\(519\) | −0.0211449 | + | 0.605510i | −0.000928157 | + | 0.0265789i | ||||
\(520\) | −2.38289 | + | 3.86863i | −0.104497 | + | 0.169650i | ||||
\(521\) | −20.0383 | − | 22.2548i | −0.877895 | − | 0.975001i | 0.121952 | − | 0.992536i | \(-0.461085\pi\) |
−0.999846 | + | 0.0175352i | \(0.994418\pi\) | |||||||
\(522\) | 8.79135 | + | 21.7593i | 0.384787 | + | 0.952381i | ||||
\(523\) | −10.2020 | + | 40.9179i | −0.446101 | + | 1.78921i | 0.152653 | + | 0.988280i | \(0.451218\pi\) |
−0.598753 | + | 0.800933i | \(0.704337\pi\) | |||||||
\(524\) | −1.06572 | + | 1.84588i | −0.0465563 | + | 0.0806378i | ||||
\(525\) | −0.244604 | − | 0.929881i | −0.0106754 | − | 0.0405833i | ||||
\(526\) | 9.45646 | + | 3.44187i | 0.412321 | + | 0.150073i | ||||
\(527\) | 26.3839 | + | 54.0950i | 1.14930 | + | 2.35642i | ||||
\(528\) | 0.188572 | + | 0.0265021i | 0.00820656 | + | 0.00115336i | ||||
\(529\) | −0.743711 | − | 21.2971i | −0.0323352 | − | 0.925960i | ||||
\(530\) | −10.6494 | − | 23.5104i | −0.462581 | − | 1.02123i | ||||
\(531\) | −11.3194 | − | 34.8376i | −0.491221 | − | 1.51182i | ||||
\(532\) | −12.2460 | − | 13.3539i | −0.530931 | − | 0.578964i | ||||
\(533\) | −4.72466 | − | 14.5410i | −0.204648 | − | 0.629841i | ||||
\(534\) | −0.0324082 | − | 0.129982i | −0.00140244 | − | 0.00562488i | ||||
\(535\) | −6.66498 | + | 15.2330i | −0.288152 | + | 0.658578i | ||||
\(536\) | −8.54201 | − | 8.24893i | −0.368959 | − | 0.356299i | ||||
\(537\) | −0.137944 | + | 0.133211i | −0.00595272 | + | 0.00574847i | ||||
\(538\) | 1.70605 | + | 2.52932i | 0.0735529 | + | 0.109047i | ||||
\(539\) | −38.6499 | − | 17.2080i | −1.66477 | − | 0.741203i | ||||
\(540\) | −0.512142 | + | 0.350262i | −0.0220391 | + | 0.0150729i | ||||
\(541\) | 10.6353 | − | 0.743693i | 0.457247 | − | 0.0319739i | 0.160724 | − | 0.986999i | \(-0.448617\pi\) |
0.296523 | + | 0.955026i | \(0.404173\pi\) | |||||||
\(542\) | 7.27506 | + | 4.54596i | 0.312491 | + | 0.195266i | ||||
\(543\) | 0.208537 | − | 0.361196i | 0.00894917 | − | 0.0155004i | ||||
\(544\) | −5.33548 | + | 5.92565i | −0.228757 | + | 0.254060i | ||||
\(545\) | −8.64105 | − | 1.46635i | −0.370142 | − | 0.0628117i | ||||
\(546\) | 0.345014 | + | 0.183447i | 0.0147652 | + | 0.00785082i | ||||
\(547\) | 16.9309 | + | 2.37948i | 0.723914 | + | 0.101739i | 0.491500 | − | 0.870878i | \(-0.336449\pi\) |
0.232414 | + | 0.972617i | \(0.425338\pi\) | |||||||
\(548\) | −2.45884 | + | 3.64539i | −0.105037 | + | 0.155723i | ||||
\(549\) | 7.53376 | + | 6.32157i | 0.321533 | + | 0.269798i | ||||
\(550\) | 19.8549 | + | 5.41763i | 0.846616 | + | 0.231009i | ||||
\(551\) | −23.0627 | − | 25.1492i | −0.982504 | − | 1.07139i | ||||
\(552\) | 0.0486548 | − | 0.0353498i | 0.00207089 | − | 0.00150459i | ||||
\(553\) | −1.01803 | + | 0.636136i | −0.0432911 | + | 0.0270513i | ||||
\(554\) | 0.334896 | + | 9.59018i | 0.0142284 | + | 0.407448i | ||||
\(555\) | 0.951361 | − | 0.0393561i | 0.0403830 | − | 0.00167057i | ||||
\(556\) | 4.97336 | − | 0.698960i | 0.210917 | − | 0.0296425i | ||||
\(557\) | 26.9878 | + | 9.82276i | 1.14351 | + | 0.416204i | 0.843180 | − | 0.537632i | \(-0.180681\pi\) |
0.300330 | + | 0.953835i | \(0.402903\pi\) | |||||||
\(558\) | 15.1411 | − | 16.8159i | 0.640973 | − | 0.711873i | ||||
\(559\) | 13.8128 | − | 6.14988i | 0.584221 | − | 0.260112i | ||||
\(560\) | −5.92858 | + | 7.15850i | −0.250528 | + | 0.302502i | ||||
\(561\) | 0.367336 | − | 1.47330i | 0.0155089 | − | 0.0622029i | ||||
\(562\) | −25.1776 | + | 11.2098i | −1.06205 | + | 0.472857i | ||||
\(563\) | −0.390828 | + | 3.71848i | −0.0164714 | + | 0.156715i | −0.999666 | − | 0.0258460i | \(-0.991772\pi\) |
0.983195 | + | 0.182561i | \(0.0584387\pi\) | |||||||
\(564\) | 0.484370 | − | 0.138891i | 0.0203957 | − | 0.00584837i | ||||
\(565\) | −0.00840943 | − | 1.30620i | −0.000353787 | − | 0.0549523i | ||||
\(566\) | 3.33020 | − | 6.82792i | 0.139979 | − | 0.286999i | ||||
\(567\) | −22.9830 | − | 29.4169i | −0.965194 | − | 1.23539i | ||||
\(568\) | 7.99598 | + | 6.70943i | 0.335504 | + | 0.281521i | ||||
\(569\) | 0.937157 | + | 2.88427i | 0.0392877 | + | 0.120915i | 0.968777 | − | 0.247934i | \(-0.0797518\pi\) |
−0.929489 | + | 0.368849i | \(0.879752\pi\) | |||||||
\(570\) | 0.259338 | − | 0.368875i | 0.0108625 | − | 0.0154505i | ||||
\(571\) | 9.33905 | − | 28.7426i | 0.390827 | − | 1.20284i | −0.541337 | − | 0.840806i | \(-0.682082\pi\) |
0.932164 | − | 0.362036i | \(-0.117918\pi\) | |||||||
\(572\) | −7.09298 | + | 4.43218i | −0.296572 | + | 0.185319i | ||||
\(573\) | 0.228894 | − | 0.339350i | 0.00956220 | − | 0.0141765i | ||||
\(574\) | −5.43118 | − | 30.8018i | −0.226693 | − | 1.28564i | ||||
\(575\) | 5.69928 | − | 3.12515i | 0.237676 | − | 0.130328i | ||||
\(576\) | 2.81707 | + | 1.02533i | 0.117378 | + | 0.0427220i | ||||
\(577\) | 26.0227 | + | 11.5860i | 1.08334 | + | 0.482333i | 0.869195 | − | 0.494469i | \(-0.164638\pi\) |
0.214143 | + | 0.976802i | \(0.431304\pi\) | |||||||
\(578\) | 31.1686 | + | 34.6162i | 1.29644 | + | 1.43984i | ||||
\(579\) | −0.0294757 | − | 0.0729550i | −0.00122497 | − | 0.00303191i | ||||
\(580\) | −11.1652 | + | 13.4815i | −0.463610 | + | 0.559789i | ||||
\(581\) | 16.8648 | + | 3.58473i | 0.699671 | + | 0.148720i | ||||
\(582\) | −0.192782 | − | 0.333908i | −0.00799108 | − | 0.0138409i | ||||
\(583\) | 1.65810 | − | 47.4819i | 0.0686717 | − | 1.96650i | ||||
\(584\) | −1.34677 | + | 1.30056i | −0.0557296 | + | 0.0538174i | ||||
\(585\) | 3.67012 | − | 13.1174i | 0.151741 | − | 0.542336i | ||||
\(586\) | 1.12831 | − | 1.67279i | 0.0466100 | − | 0.0691021i | ||||
\(587\) | −9.85942 | − | 39.5440i | −0.406942 | − | 1.63216i | −0.728344 | − | 0.685212i | \(-0.759709\pi\) |
0.321402 | − | 0.946943i | \(-0.395846\pi\) | |||||||
\(588\) | 0.384696 | + | 0.279498i | 0.0158646 | + | 0.0115263i | ||||
\(589\) | −12.0466 | + | 30.6164i | −0.496372 | + | 1.26153i | ||||
\(590\) | 18.8527 | − | 19.7757i | 0.776152 | − | 0.814154i | ||||
\(591\) | 0.177719 | + | 0.712794i | 0.00731040 | + | 0.0293204i | ||||
\(592\) | −5.66683 | − | 7.25321i | −0.232905 | − | 0.298105i | ||||
\(593\) | 1.63896 | + | 9.29503i | 0.0673042 | + | 0.381701i | 0.999790 | + | 0.0204944i | \(0.00652403\pi\) |
−0.932486 | + | 0.361207i | \(0.882365\pi\) | |||||||
\(594\) | −1.13103 | + | 0.158956i | −0.0464067 | + | 0.00652204i | ||||
\(595\) | 51.8260 | + | 52.9805i | 2.12466 | + | 2.17199i | ||||
\(596\) | 20.9800 | − | 4.45944i | 0.859375 | − | 0.182666i | ||||
\(597\) | 0.127242 | + | 0.141317i | 0.00520767 | + | 0.00578371i | ||||
\(598\) | −0.639038 | + | 2.56304i | −0.0261322 | + | 0.104810i | ||||
\(599\) | 34.5496 | − | 28.9905i | 1.41166 | − | 1.18452i | 0.456021 | − | 0.889969i | \(-0.349274\pi\) |
0.955636 | − | 0.294551i | \(-0.0951702\pi\) | |||||||
\(600\) | −0.205620 | − | 0.105957i | −0.00839441 | − | 0.00432568i | ||||
\(601\) | 0.901213 | + | 1.56095i | 0.0367613 | + | 0.0636724i | 0.883821 | − | 0.467826i | \(-0.154963\pi\) |
−0.847059 | + | 0.531498i | \(0.821629\pi\) | |||||||
\(602\) | 29.7324 | − | 8.52563i | 1.21180 | − | 0.347479i | ||||
\(603\) | 31.4320 | + | 16.7127i | 1.28001 | + | 0.680594i | ||||
\(604\) | 5.50589 | + | 0.773802i | 0.224031 | + | 0.0314856i | ||||
\(605\) | 9.93218 | + | 8.82786i | 0.403801 | + | 0.358904i | ||||
\(606\) | 0.0753486 | − | 0.186494i | 0.00306083 | − | 0.00757581i | ||||
\(607\) | 39.2070 | 1.59136 | 0.795681 | − | 0.605715i | \(-0.207113\pi\) | ||||
0.795681 | + | 0.605715i | \(0.207113\pi\) | |||||||
\(608\) | −4.35872 | + | 0.0397062i | −0.176769 | + | 0.00161030i | ||||
\(609\) | 1.21790 | + | 0.884857i | 0.0493518 | + | 0.0358562i | ||||
\(610\) | −1.47892 | + | 7.18490i | −0.0598796 | + | 0.290908i | ||||
\(611\) | −12.3760 | + | 18.3482i | −0.500680 | + | 0.742288i | ||||
\(612\) | 10.4789 | − | 21.4849i | 0.423585 | − | 0.868477i | ||||
\(613\) | 28.2315 | − | 27.2628i | 1.14026 | − | 1.10114i | 0.146543 | − | 0.989204i | \(-0.453185\pi\) |
0.993716 | − | 0.111931i | \(-0.0357035\pi\) | |||||||
\(614\) | 14.1257 | − | 4.05047i | 0.570065 | − | 0.163464i | ||||
\(615\) | 0.719807 | − | 0.296226i | 0.0290254 | − | 0.0119450i | ||||
\(616\) | −15.6305 | + | 6.95916i | −0.629772 | + | 0.280393i | ||||
\(617\) | −17.9175 | − | 11.1961i | −0.721331 | − | 0.450738i | 0.118942 | − | 0.992901i | \(-0.462050\pi\) |
−0.840273 | + | 0.542164i | \(0.817605\pi\) | |||||||
\(618\) | −0.215920 | + | 0.181178i | −0.00868558 | + | 0.00728807i | ||||
\(619\) | 25.0731 | + | 5.32945i | 1.00777 | + | 0.214209i | 0.682089 | − | 0.731269i | \(-0.261072\pi\) |
0.325685 | + | 0.945478i | \(0.394405\pi\) | |||||||
\(620\) | 16.4025 | + | 3.97763i | 0.658742 | + | 0.159745i | ||||
\(621\) | −0.222079 | + | 0.284248i | −0.00891170 | + | 0.0114065i | ||||
\(622\) | −30.2374 | − | 16.0775i | −1.21241 | − | 0.644650i | ||||
\(623\) | 8.65829 | + | 8.36122i | 0.346887 | + | 0.334985i | ||||
\(624\) | 0.0883356 | − | 0.0321515i | 0.00353626 | − | 0.00128709i | ||||
\(625\) | −20.5971 | − | 14.1690i | −0.823884 | − | 0.566759i | ||||
\(626\) | −19.3625 | −0.773879 | ||||||||
\(627\) | 0.729307 | − | 0.396343i | 0.0291257 | − | 0.0158284i | ||||
\(628\) | 5.86364 | − | 18.0464i | 0.233985 | − | 0.720130i | ||||
\(629\) | −62.2417 | + | 38.8929i | −2.48174 | + | 1.55076i | ||||
\(630\) | 11.1693 | − | 25.5278i | 0.444996 | − | 1.01705i | ||||
\(631\) | −33.5443 | + | 17.8358i | −1.33538 | + | 0.710033i | −0.974881 | − | 0.222728i | \(-0.928504\pi\) |
−0.360497 | + | 0.932760i | \(0.617393\pi\) | |||||||
\(632\) | −0.0501486 | + | 0.284407i | −0.00199480 | + | 0.0113131i | ||||
\(633\) | 0.0149643 | − | 0.428523i | 0.000594779 | − | 0.0170323i | ||||
\(634\) | −2.69156 | + | 25.6084i | −0.106895 | + | 1.01704i | ||||
\(635\) | −7.65227 | − | 5.89967i | −0.303671 | − | 0.234121i | ||||
\(636\) | −0.129184 | + | 0.518130i | −0.00512249 | + | 0.0205452i | ||||
\(637\) | −20.8345 | + | 1.45689i | −0.825494 | + | 0.0577242i | ||||
\(638\) | −29.4368 | + | 13.1061i | −1.16541 | + | 0.518875i | ||||
\(639\) | −28.5864 | − | 12.7275i | −1.13086 | − | 0.503491i | ||||
\(640\) | 0.325450 | + | 2.21226i | 0.0128645 | + | 0.0874471i | ||||
\(641\) | 23.9328 | − | 23.1116i | 0.945288 | − | 0.912854i | −0.0510210 | − | 0.998698i | \(-0.516248\pi\) |
0.996309 | + | 0.0858440i | \(0.0273587\pi\) | |||||||
\(642\) | 0.303741 | − | 0.161502i | 0.0119877 | − | 0.00637398i | ||||
\(643\) | −42.2903 | + | 15.3924i | −1.66777 | + | 0.607017i | −0.991555 | − | 0.129690i | \(-0.958602\pi\) |
−0.676212 | + | 0.736707i | \(0.736379\pi\) | |||||||
\(644\) | −2.02424 | + | 5.01017i | −0.0797663 | + | 0.197428i | ||||
\(645\) | 0.365748 | + | 0.677317i | 0.0144013 | + | 0.0266693i | ||||
\(646\) | −3.31805 | + | 34.5980i | −0.130547 | + | 1.36124i | ||||
\(647\) | −10.1155 | + | 31.1323i | −0.397681 | + | 1.22394i | 0.529172 | + | 0.848514i | \(0.322503\pi\) |
−0.926854 | + | 0.375423i | \(0.877497\pi\) | |||||||
\(648\) | −8.95887 | − | 0.626465i | −0.351937 | − | 0.0246099i | ||||
\(649\) | 47.2616 | − | 17.2018i | 1.85518 | − | 0.675230i | ||||
\(650\) | 9.90979 | − | 2.24013i | 0.388694 | − | 0.0878651i | ||||
\(651\) | 0.252052 | − | 1.42946i | 0.00987871 | − | 0.0560249i | ||||
\(652\) | 11.5793 | − | 3.32030i | 0.453479 | − | 0.130033i | ||||
\(653\) | 42.4653 | − | 9.02628i | 1.66180 | − | 0.353226i | 0.721193 | − | 0.692734i | \(-0.243594\pi\) |
0.940603 | + | 0.339508i | \(0.110261\pi\) | |||||||
\(654\) | 0.121336 | + | 0.134758i | 0.00474463 | + | 0.00526944i | ||||
\(655\) | 4.61696 | − | 1.18276i | 0.180400 | − | 0.0462143i | ||||
\(656\) | −6.38105 | − | 3.98733i | −0.249138 | − | 0.155679i | ||||
\(657\) | 2.80633 | − | 4.86071i | 0.109486 | − | 0.189634i | ||||
\(658\) | −30.2946 | + | 33.6456i | −1.18101 | + | 1.31164i | ||||
\(659\) | 9.82112 | + | 14.5604i | 0.382577 | + | 0.567193i | 0.970311 | − | 0.241861i | \(-0.0777577\pi\) |
−0.587734 | + | 0.809054i | \(0.699980\pi\) | |||||||
\(660\) | −0.252494 | − | 0.342865i | −0.00982832 | − | 0.0133460i | ||||
\(661\) | −20.1212 | − | 19.4308i | −0.782624 | − | 0.755772i | 0.191571 | − | 0.981479i | \(-0.438642\pi\) |
−0.974195 | + | 0.225707i | \(0.927531\pi\) | |||||||
\(662\) | −0.739207 | − | 0.211964i | −0.0287301 | − | 0.00823822i | ||||
\(663\) | −0.181338 | − | 0.727306i | −0.00704257 | − | 0.0282462i | ||||
\(664\) | 3.35570 | − | 2.43806i | 0.130226 | − | 0.0946150i | ||||
\(665\) | −2.19749 | + | 40.4552i | −0.0852151 | + | 1.56878i | ||||
\(666\) | 22.3237 | + | 16.2192i | 0.865028 | + | 0.628479i | ||||
\(667\) | −3.81223 | + | 9.43559i | −0.147610 | + | 0.365348i | ||||
\(668\) | −4.15018 | + | 1.51054i | −0.160575 | + | 0.0584446i | ||||
\(669\) | −0.212632 | + | 0.113058i | −0.00822081 | + | 0.00437108i | ||||
\(670\) | 0.170946 | + | 26.5523i | 0.00660421 | + | 1.02581i | ||||
\(671\) | −8.31342 | + | 10.6407i | −0.320936 | + | 0.410779i | ||||
\(672\) | 0.188101 | − | 0.0399820i | 0.00725614 | − | 0.00154234i | ||||
\(673\) | 2.62581 | + | 24.9829i | 0.101218 | + | 0.963020i | 0.920794 | + | 0.390050i | \(0.127542\pi\) |
−0.819576 | + | 0.572970i | \(0.805791\pi\) | |||||||
\(674\) | −11.2278 | + | 9.42123i | −0.432478 | + | 0.362892i | ||||
\(675\) | 1.36068 | + | 0.270958i | 0.0523725 | + | 0.0104292i | ||||
\(676\) | 4.43556 | − | 7.68261i | 0.170598 | − | 0.295485i | ||||
\(677\) | −25.3231 | − | 11.2746i | −0.973245 | − | 0.433317i | −0.142393 | − | 0.989810i | \(-0.545480\pi\) |
−0.830852 | + | 0.556493i | \(0.812146\pi\) | |||||||
\(678\) | −0.0166383 | + | 0.0212961i | −0.000638991 | + | 0.000817872i | ||||
\(679\) | 30.5879 | + | 16.2639i | 1.17386 | + | 0.624151i | ||||
\(680\) | 17.8146 | − | 0.736958i | 0.683159 | − | 0.0282610i | ||||
\(681\) | −0.796080 | − | 1.01894i | −0.0305058 | − | 0.0390457i | ||||
\(682\) | 23.8002 | + | 19.9707i | 0.911356 | + | 0.764718i | ||||
\(683\) | 6.93098 | + | 21.3314i | 0.265207 | + | 0.816222i | 0.991646 | + | 0.128991i | \(0.0411739\pi\) |
−0.726439 | + | 0.687231i | \(0.758826\pi\) | |||||||
\(684\) | 12.5278 | − | 3.71613i | 0.479014 | − | 0.142090i | ||||
\(685\) | 9.67171 | − | 1.76966i | 0.369537 | − | 0.0676152i | ||||
\(686\) | −13.5943 | − | 0.950608i | −0.519034 | − | 0.0362944i | ||||
\(687\) | 0.498987 | + | 0.143082i | 0.0190375 | + | 0.00545892i | ||||
\(688\) | 3.26196 | − | 6.68801i | 0.124361 | − | 0.254978i | ||||
\(689\) | −10.2816 | − | 21.0804i | −0.391697 | − | 0.803098i | ||||
\(690\) | −0.132583 | − | 0.0224989i | −0.00504736 | − | 0.000856517i | ||||
\(691\) | −0.0131972 | + | 0.125563i | −0.000502044 | + | 0.00477663i | −0.994770 | − | 0.102140i | \(-0.967431\pi\) |
0.994268 | + | 0.106916i | \(0.0340977\pi\) | |||||||
\(692\) | −12.8102 | − | 2.72290i | −0.486972 | − | 0.103509i | ||||
\(693\) | 39.2924 | − | 32.9703i | 1.49260 | − | 1.25244i | ||||
\(694\) | −0.675290 | − | 0.421968i | −0.0256336 | − | 0.0160177i | ||||
\(695\) | −8.89373 | − | 6.85679i | −0.337358 | − | 0.260093i | ||||
\(696\) | 0.354247 | − | 0.0752976i | 0.0134277 | − | 0.00285415i | ||||
\(697\) | −36.9383 | + | 47.2788i | −1.39914 | + | 1.79081i | ||||
\(698\) | −11.5289 | − | 23.6378i | −0.436376 | − | 0.894703i | ||||
\(699\) | 0.140856 | + | 0.798835i | 0.00532767 | + | 0.0302147i | ||||
\(700\) | 20.7126 | − | 1.71663i | 0.782865 | − | 0.0648823i | ||||
\(701\) | 9.55409 | + | 8.01684i | 0.360853 | + | 0.302792i | 0.805131 | − | 0.593097i | \(-0.202095\pi\) |
−0.444278 | + | 0.895889i | \(0.646540\pi\) | |||||||
\(702\) | −0.456146 | + | 0.331410i | −0.0172161 | + | 0.0125083i | ||||
\(703\) | −38.6662 | − | 10.7072i | −1.45832 | − | 0.403828i | ||||
\(704\) | −1.27196 | + | 3.91469i | −0.0479388 | + | 0.147541i | ||||
\(705\) | −0.979386 | − | 0.557073i | −0.0368858 | − | 0.0209806i | ||||
\(706\) | −0.0343307 | − | 0.0439413i | −0.00129205 | − | 0.00165375i | ||||
\(707\) | 3.13826 | + | 17.7979i | 0.118026 | + | 0.669360i | ||||
\(708\) | −0.559780 | + | 0.0786719i | −0.0210378 | + | 0.00295667i | ||||
\(709\) | −21.0919 | − | 31.2700i | −0.792122 | − | 1.17437i | −0.981311 | − | 0.192429i | \(-0.938364\pi\) |
0.189189 | − | 0.981941i | \(-0.439414\pi\) | |||||||
\(710\) | −1.77799 | − | 23.2723i | −0.0667266 | − | 0.873394i | ||||
\(711\) | −0.0904970 | − | 0.861022i | −0.00339390 | − | 0.0322908i | ||||
\(712\) | 2.88860 | − | 0.201990i | 0.108255 | − | 0.00756991i | ||||
\(713\) | 9.78836 | − | 0.684469i | 0.366577 | − | 0.0256336i | ||||
\(714\) | −0.160281 | − | 1.52497i | −0.00599838 | − | 0.0570707i | ||||
\(715\) | 18.1754 | + | 4.40755i | 0.679723 | + | 0.164833i | ||||
\(716\) | −2.31791 | − | 3.43644i | −0.0866243 | − | 0.128426i | ||||
\(717\) | 0.670440 | − | 0.0942242i | 0.0250380 | − | 0.00351887i | ||||
\(718\) | −2.29404 | − | 13.0102i | −0.0856130 | − | 0.485535i | ||||
\(719\) | 11.4949 | + | 14.7127i | 0.428686 | + | 0.548693i | 0.953055 | − | 0.302798i | \(-0.0979209\pi\) |
−0.524369 | + | 0.851491i | \(0.675699\pi\) | |||||||
\(720\) | −2.76589 | − | 6.10620i | −0.103079 | − | 0.227565i | ||||
\(721\) | 7.82600 | − | 24.0860i | 0.291455 | − | 0.897008i | ||||
\(722\) | −15.1653 | + | 11.4461i | −0.564395 | + | 0.425980i | ||||
\(723\) | 0.608785 | − | 0.442308i | 0.0226409 | − | 0.0164496i | ||||
\(724\) | 6.90610 | + | 5.79491i | 0.256663 | + | 0.215366i | ||||
\(725\) | 39.0079 | − | 3.23290i | 1.44872 | − | 0.120067i | ||||
\(726\) | −0.0477407 | − | 0.270751i | −0.00177182 | − | 0.0100485i | ||||
\(727\) | −4.75545 | − | 9.75013i | −0.176370 | − | 0.361612i | 0.792235 | − | 0.610216i | \(-0.208917\pi\) |
−0.968605 | + | 0.248604i | \(0.920028\pi\) | |||||||
\(728\) | −5.20009 | + | 6.65581i | −0.192728 | + | 0.246681i | ||||
\(729\) | 26.2970 | − | 5.58960i | 0.973963 | − | 0.207022i | ||||
\(730\) | 4.18473 | + | 0.119165i | 0.154884 | + | 0.00441051i | ||||
\(731\) | −50.3176 | − | 31.4419i | −1.86106 | − | 1.16292i | ||||
\(732\) | 0.116261 | − | 0.0975545i | 0.00429713 | − | 0.00360572i | ||||
\(733\) | 39.2929 | + | 8.35197i | 1.45132 | + | 0.308487i | 0.865073 | − | 0.501646i | \(-0.167272\pi\) |
0.586245 | + | 0.810134i | \(0.300605\pi\) | |||||||
\(734\) | −0.291091 | + | 2.76955i | −0.0107444 | + | 0.102226i | ||||
\(735\) | −0.154755 | − | 1.05195i | −0.00570821 | − | 0.0388018i | ||||
\(736\) | 0.569871 | + | 1.16841i | 0.0210057 | + | 0.0430681i | ||||
\(737\) | −21.4269 | + | 43.9317i | −0.789271 | + | 1.61824i | ||||
\(738\) | 21.6833 | + | 6.21758i | 0.798172 | + | 0.228872i | ||||
\(739\) | −14.5195 | − | 1.01530i | −0.534107 | − | 0.0373484i | −0.199843 | − | 0.979828i | \(-0.564043\pi\) |
−0.334264 | + | 0.942480i | \(0.608488\pi\) | |||||||
\(740\) | −2.73316 | + | 20.3995i | −0.100473 | + | 0.749901i | ||||
\(741\) | 0.226030 | − | 0.341778i | 0.00830340 | − | 0.0125555i | ||||
\(742\) | −14.8264 | − | 45.6310i | −0.544294 | − | 1.67517i | ||||
\(743\) | 13.1096 | + | 11.0002i | 0.480943 | + | 0.403559i | 0.850767 | − | 0.525543i | \(-0.176138\pi\) |
−0.369824 | + | 0.929102i | \(0.620582\pi\) | |||||||
\(744\) | −0.214986 | − | 0.275170i | −0.00788177 | − | 0.0100882i | ||||
\(745\) | −39.9332 | − | 26.5628i | −1.46304 | − | 0.973186i | ||||
\(746\) | −4.16625 | − | 2.21524i | −0.152537 | − | 0.0811056i | ||||
\(747\) | −7.65559 | + | 9.79871i | −0.280103 | + | 0.358516i | ||||
\(748\) | 29.9836 | + | 13.3496i | 1.09631 | + | 0.488109i | ||||
\(749\) | −15.4546 | + | 26.7681i | −0.564698 | + | 0.978086i | ||||
\(750\) | 0.152145 | + | 0.494353i | 0.00555556 | + | 0.0180512i | ||||
\(751\) | −8.39655 | + | 7.04554i | −0.306394 | + | 0.257095i | −0.783000 | − | 0.622022i | \(-0.786311\pi\) |
0.476605 | + | 0.879117i | \(0.341867\pi\) | |||||||
\(752\) | 1.13851 | + | 10.8322i | 0.0415172 | + | 0.395010i | ||||
\(753\) | −0.183286 | + | 0.0389586i | −0.00667931 | + | 0.00141973i | ||||
\(754\) | −9.79326 | + | 12.5348i | −0.356649 | + | 0.456490i | ||||
\(755\) | −7.37226 | − | 10.0109i | −0.268304 | − | 0.364333i | ||||
\(756\) | −1.01840 | + | 0.541491i | −0.0370387 | + | 0.0196938i | ||||
\(757\) | 16.4184 | − | 5.97581i | 0.596737 | − | 0.217195i | −0.0259528 | − | 0.999663i | \(-0.508262\pi\) |
0.622690 | + | 0.782469i | \(0.286040\pi\) | |||||||
\(758\) | 0.944908 | − | 2.33873i | 0.0343206 | − | 0.0849465i | ||||
\(759\) | −0.200271 | − | 0.145505i | −0.00726937 | − | 0.00528150i | ||||
\(760\) | 6.87888 | + | 6.90515i | 0.249523 | + | 0.250476i | ||||
\(761\) | 20.4732 | − | 14.8746i | 0.742153 | − | 0.539205i | −0.151232 | − | 0.988498i | \(-0.548324\pi\) |
0.893385 | + | 0.449293i | \(0.148324\pi\) | |||||||
\(762\) | 0.0483629 | + | 0.193973i | 0.00175200 | + | 0.00702690i | ||||
\(763\) | −15.6617 | − | 4.49093i | −0.566993 | − | 0.162583i | ||||
\(764\) | 6.36464 | + | 6.14626i | 0.230265 | + | 0.222364i | ||||
\(765\) | −50.7279 | + | 16.8443i | −1.83407 | + | 0.609008i | ||||
\(766\) | −10.9523 | − | 16.2374i | −0.395721 | − | 0.586680i | ||||
\(767\) | 16.6134 | − | 18.4510i | 0.599875 | − | 0.666228i | ||||
\(768\) | 0.0231315 | − | 0.0400649i | 0.000834686 | − | 0.00144572i | ||||
\(769\) | 6.78129 | + | 4.23742i | 0.244540 | + | 0.152805i | 0.646652 | − | 0.762785i | \(-0.276168\pi\) |
−0.402113 | + | 0.915590i | \(0.631724\pi\) | |||||||
\(770\) | 35.5642 | + | 14.1032i | 1.28165 | + | 0.508245i | ||||
\(771\) | 0.226622 | + | 0.251689i | 0.00816159 | + | 0.00906437i | ||||
\(772\) | 1.66364 | − | 0.353618i | 0.0598758 | − | 0.0127270i | ||||
\(773\) | 40.3530 | − | 11.5710i | 1.45140 | − | 0.416182i | 0.544939 | − | 0.838476i | \(-0.316553\pi\) |
0.906459 | + | 0.422294i | \(0.138775\pi\) | |||||||
\(774\) | −3.87363 | + | 21.9684i | −0.139235 | + | 0.789639i | ||||
\(775\) | −19.2894 | − | 32.4383i | −0.692895 | − | 1.16522i | ||||
\(776\) | 7.83157 | − | 2.85046i | 0.281137 | − | 0.102326i | ||||
\(777\) | 1.76573 | + | 0.123472i | 0.0633453 | + | 0.00442953i | ||||
\(778\) | −2.28350 | + | 7.02788i | −0.0818673 | + | 0.251962i | ||||
\(779\) | −32.6960 | + | 2.58582i | −1.17146 | + | 0.0926467i | ||||
\(780\) | −0.189517 | − | 0.0909279i | −0.00678579 | − | 0.00325574i | ||||
\(781\) | 16.0948 | − | 39.8360i | 0.575916 | − | 1.42544i | ||||
\(782\) | 9.74054 | − | 3.54527i | 0.348321 | − | 0.126779i | ||||
\(783\) | −1.91793 | + | 1.01978i | −0.0685413 | + | 0.0364441i | ||||
\(784\) | −7.39368 | + | 7.13999i | −0.264060 | + | 0.255000i | ||||
\(785\) | −38.0150 | + | 18.8451i | −1.35681 | + | 0.672609i | ||||
\(786\) | −0.0900819 | − | 0.0401070i | −0.00321312 | − | 0.00143057i | ||||
\(787\) | −25.9564 | + | 11.5565i | −0.925247 | + | 0.411946i | −0.813351 | − | 0.581773i | \(-0.802359\pi\) |
−0.111896 | + | 0.993720i | \(0.535692\pi\) | |||||||
\(788\) | −15.8404 | + | 1.10767i | −0.564292 | + | 0.0394591i | ||||
\(789\) | −0.112629 | + | 0.451732i | −0.00400971 | + | 0.0160821i | ||||
\(790\) | 0.533026 | − | 0.364545i | 0.0189642 | − | 0.0129699i | ||||
\(791\) | 0.253817 | − | 2.41491i | 0.00902470 | − | 0.0858643i | ||||
\(792\) | 0.430648 | − | 12.3321i | 0.0153024 | − | 0.438203i | ||||
\(793\) | −1.15753 | + | 6.56469i | −0.0411052 | + | 0.233119i | ||||
\(794\) | 20.6184 | − | 10.9630i | 0.731719 | − | 0.389062i | ||||
\(795\) | 1.03021 | − | 0.603666i | 0.0365376 | − | 0.0214098i | ||||
\(796\) | −3.48584 | + | 2.17819i | −0.123552 | + | 0.0772040i | ||||
\(797\) | 2.40165 | − | 7.39153i | 0.0850709 | − | 0.261821i | −0.899468 | − | 0.436986i | \(-0.856046\pi\) |
0.984539 | + | 0.175165i | \(0.0560458\pi\) | |||||||
\(798\) | 0.555187 | − | 0.628009i | 0.0196534 | − | 0.0222313i | ||||
\(799\) | 86.8490 | 3.07250 | ||||||||
\(800\) | 3.02732 | − | 3.97936i | 0.107032 | − | 0.140692i | ||||
\(801\) | −8.15724 | + | 2.96899i | −0.288222 | + | 0.104904i | ||||
\(802\) | −18.3935 | − | 17.7624i | −0.649499 | − | 0.627213i | ||||
\(803\) | 6.80432 | + | 3.61792i | 0.240119 | + | 0.127674i | ||||
\(804\) | 0.338222 | − | 0.432904i | 0.0119282 | − | 0.0152674i | ||||
\(805\) | 11.1737 | − | 4.59837i | 0.393822 | − | 0.162071i | ||||
\(806\) | 15.0022 | + | 3.18882i | 0.528431 | + | 0.112321i | ||||
\(807\) | −0.108123 | + | 0.0907257i | −0.00380610 | + | 0.00319370i | ||||
\(808\) | 3.68711 | + | 2.30396i | 0.129712 | + | 0.0810532i | ||||
\(809\) | 28.2143 | − | 12.5618i | 0.991962 | − | 0.441650i | 0.154410 | − | 0.988007i | \(-0.450652\pi\) |
0.837552 | + | 0.546357i | \(0.183986\pi\) | |||||||
\(810\) | 13.0069 | + | 15.2999i | 0.457017 | + | 0.537585i | ||||
\(811\) | −20.6725 | + | 5.92774i | −0.725910 | + | 0.208151i | −0.618188 | − | 0.786030i | \(-0.712133\pi\) |
−0.107721 | + | 0.994181i | \(0.534355\pi\) | |||||||
\(812\) | −23.4075 | + | 22.6043i | −0.821442 | + | 0.793257i | ||||
\(813\) | −0.173977 | + | 0.356706i | −0.00610164 | + | 0.0125102i | ||||
\(814\) | −21.1861 | + | 31.4097i | −0.742573 | + | 1.10091i | ||||
\(815\) | −23.4130 | − | 13.3173i | −0.820122 | − | 0.466483i | ||||
\(816\) | −0.298438 | − | 0.216828i | −0.0104474 | − | 0.00759049i | ||||
\(817\) | −5.92301 | − | 31.8896i | −0.207220 | − | 1.11567i | ||||
\(818\) | 0.388030 | 0.0135672 | ||||||||
\(819\) | 9.48539 | − | 23.4772i | 0.331446 | − | 0.820359i | ||||
\(820\) | 3.60401 | + | 16.4345i | 0.125857 | + | 0.573919i | ||||
\(821\) | 23.7223 | + | 3.33396i | 0.827915 | + | 0.116356i | 0.540387 | − | 0.841416i | \(-0.318278\pi\) |
0.287528 | + | 0.957772i | \(0.407167\pi\) | |||||||
\(822\) | −0.179613 | − | 0.0955019i | −0.00626472 | − | 0.00333101i | ||||
\(823\) | 4.88298 | − | 1.40017i | 0.170210 | − | 0.0488069i | −0.189450 | − | 0.981890i | \(-0.560670\pi\) |
0.359660 | + | 0.933083i | \(0.382893\pi\) | |||||||
\(824\) | −3.04632 | − | 5.27638i | −0.106124 | − | 0.183811i | ||||
\(825\) | −0.153249 | + | 0.939714i | −0.00533543 | + | 0.0327166i | ||||
\(826\) | 38.9078 | − | 32.6475i | 1.35378 | − | 1.13595i | ||||
\(827\) | −4.12163 | + | 16.5310i | −0.143323 | + | 0.574838i | 0.855088 | + | 0.518484i | \(0.173503\pi\) |
−0.998411 | + | 0.0563545i | \(0.982052\pi\) | |||||||
\(828\) | −2.60770 | − | 2.89614i | −0.0906237 | − | 0.100648i | ||||
\(829\) | 24.6300 | − | 5.23527i | 0.855436 | − | 0.181829i | 0.240737 | − | 0.970590i | \(-0.422611\pi\) |
0.614699 | + | 0.788762i | \(0.289278\pi\) | |||||||
\(830\) | −9.14420 | − | 1.55174i | −0.317400 | − | 0.0538615i | ||||
\(831\) | −0.439620 | + | 0.0617846i | −0.0152503 | + | 0.00214328i | ||||
\(832\) | 0.352847 | + | 2.00110i | 0.0122328 | + | 0.0693755i | ||||
\(833\) | 50.4581 | + | 64.5835i | 1.74827 | + | 2.23768i | ||||
\(834\) | 0.0562090 | + | 0.225442i | 0.00194636 | + | 0.00780641i | ||||
\(835\) | 8.90387 | + | 4.27197i | 0.308131 | + | 0.147838i | ||||
\(836\) | 5.69956 | + | 17.0125i | 0.197123 | + | 0.588391i | ||||
\(837\) | 1.69442 | + | 1.23107i | 0.0585679 | + | 0.0425521i | ||||
\(838\) | 7.42582 | + | 29.7833i | 0.256521 | + | 1.02885i | ||||
\(839\) | −21.7634 | + | 32.2656i | −0.751357 | + | 1.11393i | 0.238399 | + | 0.971167i | \(0.423377\pi\) |
−0.989756 | + | 0.142766i | \(0.954400\pi\) | |||||||
\(840\) | −0.358029 | − | 0.238154i | −0.0123532 | − | 0.00821710i | ||||
\(841\) | −23.2222 | + | 22.4254i | −0.800765 | + | 0.773289i | ||||
\(842\) | 0.528445 | − | 15.1327i | 0.0182114 | − | 0.521507i | ||||
\(843\) | −0.637512 | − | 1.10420i | −0.0219571 | − | 0.0380308i | ||||
\(844\) | 9.06587 | + | 1.92701i | 0.312060 | + | 0.0663304i | ||||
\(845\) | −19.2159 | + | 4.92268i | −0.661047 | + | 0.169345i | ||||
\(846\) | −12.2318 | − | 30.2747i | −0.420537 | − | 1.04086i | ||||
\(847\) | 16.5291 | + | 18.3574i | 0.567945 | + | 0.630767i | ||||
\(848\) | −10.5446 | − | 4.69477i | −0.362104 | − | 0.161219i | ||||
\(849\) | 0.330254 | + | 0.120203i | 0.0113343 | + | 0.00412534i | ||||
\(850\) | −29.0334 | − | 27.3236i | −0.995837 | − | 0.937192i | ||||
\(851\) | 2.07780 | + | 11.7838i | 0.0712259 | + | 0.403942i | ||||
\(852\) | −0.270031 | + | 0.400337i | −0.00925110 | + | 0.0137153i | ||||
\(853\) | 12.3246 | − | 7.70127i | 0.421986 | − | 0.263686i | −0.302263 | − | 0.953225i | \(-0.597742\pi\) |
0.724249 | + | 0.689538i | \(0.242186\pi\) | |||||||
\(854\) | −4.21387 | + | 12.9689i | −0.144196 | + | 0.443788i | ||||
\(855\) | −25.5289 | − | 14.2146i | −0.873071 | − | 0.486129i | ||||
\(856\) | 2.29783 | + | 7.07199i | 0.0785381 | + | 0.241716i | ||||
\(857\) | 21.2232 | + | 17.8083i | 0.724969 | + | 0.608321i | 0.928755 | − | 0.370694i | \(-0.120880\pi\) |
−0.203786 | + | 0.979015i | \(0.565325\pi\) | |||||||
\(858\) | −0.238223 | − | 0.304911i | −0.00813280 | − | 0.0104095i | ||||
\(859\) | 8.18085 | − | 16.7732i | 0.279127 | − | 0.572295i | −0.712464 | − | 0.701709i | \(-0.752421\pi\) |
0.991591 | + | 0.129414i | \(0.0413096\pi\) | |||||||
\(860\) | −15.7910 | + | 5.24344i | −0.538468 | + | 0.178800i | ||||
\(861\) | 1.39091 | − | 0.398837i | 0.0474021 | − | 0.0135923i | ||||
\(862\) | −0.139608 | + | 1.32828i | −0.00475506 | + | 0.0452414i | ||||
\(863\) | −4.46098 | + | 1.98615i | −0.151853 | + | 0.0676095i | −0.481256 | − | 0.876580i | \(-0.659819\pi\) |
0.329403 | + | 0.944190i | \(0.393153\pi\) | |||||||
\(864\) | −0.0671282 | + | 0.269237i | −0.00228375 | + | 0.00915961i | ||||
\(865\) | 15.6780 | + | 24.7342i | 0.533067 | + | 0.840988i | ||||
\(866\) | 4.17661 | − | 1.85955i | 0.141927 | − | 0.0631899i | ||||
\(867\) | −1.44195 | + | 1.60145i | −0.0489712 | + | 0.0543881i | ||||
\(868\) | 29.4831 | + | 10.7310i | 1.00072 | + | 0.364232i | ||||
\(869\) | 1.17715 | − | 0.165438i | 0.0399322 | − | 0.00561210i | ||||
\(870\) | −0.674271 | − | 0.448513i | −0.0228599 | − | 0.0152060i | ||||
\(871\) | 0.842097 | + | 24.1145i | 0.0285334 | + | 0.817088i | ||||
\(872\) | −3.32405 | + | 2.07709i | −0.112566 | + | 0.0703393i | ||||
\(873\) | −20.2131 | + | 14.6856i | −0.684108 | + | 0.497034i | ||||
\(874\) | 5.02721 | + | 2.61455i | 0.170048 | + | 0.0884386i | ||||
\(875\) | −35.1308 | − | 30.4242i | −1.18764 | − | 1.02852i | ||||
\(876\) | −0.0663507 | − | 0.0556749i | −0.00224178 | − | 0.00188108i | ||||
\(877\) | 5.60729 | − | 8.31315i | 0.189345 | − | 0.280715i | −0.722397 | − | 0.691478i | \(-0.756960\pi\) |
0.911742 | + | 0.410763i | \(0.134738\pi\) | |||||||
\(878\) | −3.38523 | − | 0.475763i | −0.114246 | − | 0.0160562i | ||||
\(879\) | 0.0824204 | + | 0.0438237i | 0.00277997 | + | 0.00147814i | ||||
\(880\) | 8.24635 | − | 4.08794i | 0.277984 | − | 0.137804i | ||||
\(881\) | −25.6234 | + | 28.4577i | −0.863275 | + | 0.958764i | −0.999491 | − | 0.0319148i | \(-0.989839\pi\) |
0.136215 | + | 0.990679i | \(0.456506\pi\) | |||||||
\(882\) | 15.4066 | − | 26.6851i | 0.518768 | − | 0.898533i | ||||
\(883\) | −29.7292 | − | 18.5769i | −1.00047 | − | 0.625161i | −0.0723226 | − | 0.997381i | \(-0.523041\pi\) |
−0.928145 | + | 0.372220i | \(0.878597\pi\) | |||||||
\(884\) | 16.1629 | − | 1.13022i | 0.543618 | − | 0.0380135i | ||||
\(885\) | 1.00104 | + | 0.771772i | 0.0336496 | + | 0.0259428i | ||||
\(886\) | −13.6472 | − | 6.07612i | −0.458486 | − | 0.204131i | ||||
\(887\) | 19.3185 | + | 28.6409i | 0.648652 | + | 0.961667i | 0.999680 | + | 0.0253015i | \(0.00805459\pi\) |
−0.351027 | + | 0.936365i | \(0.614168\pi\) | |||||||
\(888\) | 0.306313 | − | 0.295803i | 0.0102792 | − | 0.00992651i | ||||
\(889\) | −12.9208 | − | 12.4775i | −0.433350 | − | 0.418481i | ||||
\(890\) | −4.83956 | − | 4.30147i | −0.162222 | − | 0.144185i | ||||
\(891\) | 8.94291 | + | 35.8681i | 0.299599 | + | 1.20163i | ||||
\(892\) | −1.60858 | − | 4.95069i | −0.0538591 | − | 0.165761i | ||||
\(893\) | 32.0881 | + | 34.9911i | 1.07379 | + | 1.17093i | ||||
\(894\) | 0.306632 | + | 0.943717i | 0.0102553 | + | 0.0315626i | ||||
\(895\) | −1.86867 | + | 9.07839i | −0.0624627 | + | 0.303457i | ||||
\(896\) | 0.145068 | + | 4.15420i | 0.00484638 | + | 0.138782i | ||||
\(897\) | −0.121015 | − | 0.0170075i | −0.00404056 | − | 0.000567863i | ||||
\(898\) | 9.04600 | + | 18.5470i | 0.301869 | + | 0.618923i | ||||
\(899\) | 55.5251 | + | 20.2095i | 1.85186 | + | 0.674024i | ||||
\(900\) | −5.43568 | + | 13.9690i | −0.181189 | + | 0.465633i | ||||
\(901\) | −46.0186 | + | 79.7066i | −1.53310 | + | 2.65541i | ||||
\(902\) | −7.49271 | + | 30.0516i | −0.249480 | + | 1.00061i | ||||
\(903\) | 0.536041 | + | 1.32675i | 0.0178383 | + | 0.0441514i | ||||
\(904\) | −0.390882 | − | 0.434118i | −0.0130005 | − | 0.0144385i | ||||
\(905\) | −1.53564 | − | 20.1002i | −0.0510464 | − | 0.668153i | ||||
\(906\) | −0.00897692 | + | 0.257065i | −0.000298238 | + | 0.00854042i | ||||
\(907\) | 6.94663 | − | 39.3963i | 0.230659 | − | 1.30813i | −0.620907 | − | 0.783885i | \(-0.713235\pi\) |
0.851566 | − | 0.524248i | \(-0.175653\pi\) | |||||||
\(908\) | 24.6783 | − | 13.1217i | 0.818979 | − | 0.435459i | ||||
\(909\) | −12.5291 | − | 3.59265i | −0.415563 | − | 0.119161i | ||||
\(910\) | 18.7700 | − | 2.09507i | 0.622220 | − | 0.0694509i | ||||
\(911\) | 27.3715 | − | 19.8866i | 0.906858 | − | 0.658871i | −0.0333599 | − | 0.999443i | \(-0.510621\pi\) |
0.940218 | + | 0.340572i | \(0.110621\pi\) | |||||||
\(912\) | −0.0229047 | − | 0.200351i | −0.000758452 | − | 0.00663427i | ||||
\(913\) | −13.8126 | − | 10.0354i | −0.457129 | − | 0.332124i | ||||
\(914\) | 16.3315 | + | 1.14201i | 0.540199 | + | 0.0377744i | ||||
\(915\) | −0.337726 | − | 0.0332996i | −0.0111649 | − | 0.00110085i | ||||
\(916\) | −4.91876 | + | 10.0850i | −0.162520 | + | 0.333216i | ||||
\(917\) | 8.77362 | − | 1.23305i | 0.289730 | − | 0.0407189i | ||||
\(918\) | 2.07911 | + | 0.756736i | 0.0686210 | + | 0.0249760i | ||||
\(919\) | 34.6039 | − | 38.4316i | 1.14148 | − | 1.26774i | 0.182832 | − | 0.983144i | \(-0.441474\pi\) |
0.958647 | − | 0.284597i | \(-0.0918596\pi\) | |||||||
\(920\) | 0.976589 | − | 2.73787i | 0.0321972 | − | 0.0902649i | ||||
\(921\) | 0.254669 | + | 0.630328i | 0.00839163 | + | 0.0207700i | ||||
\(922\) | 11.8477 | + | 29.3240i | 0.390182 | + | 0.965734i | ||||
\(923\) | −2.21702 | − | 21.0935i | −0.0729740 | − | 0.694301i | ||||
\(924\) | −0.395774 | − | 0.685501i | −0.0130200 | − | 0.0225513i | ||||
\(925\) | 36.8814 | − | 27.5284i | 1.21265 | − | 0.905127i | ||||
\(926\) | −4.92347 | + | 27.9224i | −0.161795 | + | 0.917586i | ||||
\(927\) | 13.1387 | + | 12.6878i | 0.431530 | + | 0.416724i | ||||
\(928\) | 0.273204 | + | 7.82355i | 0.00896838 | + | 0.256821i | ||||
\(929\) | −14.4450 | + | 9.02624i | −0.473925 | + | 0.296141i | −0.745774 | − | 0.666199i | \(-0.767920\pi\) |
0.271849 | + | 0.962340i | \(0.412365\pi\) | |||||||
\(930\) | −0.103689 | + | 0.773909i | −0.00340011 | + | 0.0253775i | ||||
\(931\) | −7.37765 | + | 44.1910i | −0.241793 | + | 1.44830i | ||||
\(932\) | −17.5336 | −0.574333 | ||||||||
\(933\) | 0.593498 | − | 1.46896i | 0.0194302 | − | 0.0480915i | ||||
\(934\) | −0.986721 | − | 0.282938i | −0.0322865 | − | 0.00925800i | ||||
\(935\) | −25.5445 | − | 68.8014i | −0.835393 | − | 2.25005i | ||||
\(936\) | −2.67036 | − | 5.47505i | −0.0872834 | − | 0.178958i | ||||
\(937\) | 5.29172 | + | 7.84529i | 0.172873 | + | 0.256295i | 0.905510 | − | 0.424325i | \(-0.139489\pi\) |
−0.732637 | + | 0.680619i | \(0.761711\pi\) | |||||||
\(938\) | −5.15956 | + | 49.0900i | −0.168466 | + | 1.60284i | ||||
\(939\) | −0.0936329 | − | 0.890858i | −0.00305559 | − | 0.0290720i | ||||
\(940\) | 15.5346 | − | 18.7574i | 0.506684 | − | 0.611798i | ||||
\(941\) | 22.4687 | − | 1.57117i | 0.732460 | − | 0.0512186i | 0.301344 | − | 0.953515i | \(-0.402565\pi\) |
0.431115 | + | 0.902297i | \(0.358120\pi\) | |||||||
\(942\) | 0.858663 | + | 0.182514i | 0.0279767 | + | 0.00594664i | ||||
\(943\) | 4.89076 | + | 8.47105i | 0.159265 | + | 0.275855i | ||||
\(944\) | 0.426432 | − | 12.2114i | 0.0138792 | − | 0.397448i | ||||
\(945\) | 2.45794 | + | 0.781176i | 0.0799569 | + | 0.0254116i | ||||
\(946\) | −30.3306 | − | 4.26269i | −0.986132 | − | 0.138592i | ||||
\(947\) | −0.212078 | − | 6.07312i | −0.00689161 | − | 0.197350i | −0.997953 | − | 0.0639459i | \(-0.979631\pi\) |
0.991062 | − | 0.133404i | \(-0.0425907\pi\) | |||||||
\(948\) | −0.0133279 | 0.000931980i | −0.000432871 | 3.02693e-5i | ||||||
\(949\) | 3.80430 | 0.123493 | ||||||||
\(950\) | 0.281604 | − | 21.7927i | 0.00913645 | − | 0.707048i | ||||
\(951\) | −1.19125 | −0.0386289 | ||||||||
\(952\) | 33.0640 | + | 2.31206i | 1.07161 | + | 0.0749343i | ||||
\(953\) | 0.0683522 | + | 1.95735i | 0.00221414 | + | 0.0634048i | 0.999995 | − | 0.00317954i | \(-0.00101208\pi\) |
−0.997781 | + | 0.0665843i | \(0.978790\pi\) | |||||||
\(954\) | 34.2661 | + | 4.81579i | 1.10941 | + | 0.155917i | ||||
\(955\) | −0.127371 | − | 19.7841i | −0.00412164 | − | 0.640198i | ||||
\(956\) | −0.510731 | + | 14.6254i | −0.0165182 | + | 0.473020i | ||||
\(957\) | −0.745356 | − | 1.29099i | −0.0240939 | − | 0.0417319i | ||||
\(958\) | −4.86629 | − | 1.03436i | −0.157223 | − | 0.0334187i | ||||
\(959\) | 18.2332 | − | 1.27499i | 0.588780 | − | 0.0411715i | ||||
\(960\) | −0.100211 | + | 0.0256718i | −0.00323430 | + | 0.000828555i | ||||
\(961\) | −2.71492 | − | 25.8307i | −0.0875781 | − | 0.833250i | ||||
\(962\) | −1.95501 | + | 18.6007i | −0.0630321 | + | 0.599710i | ||||
\(963\) | −12.4655 | − | 18.4808i | −0.401694 | − | 0.595535i | ||||
\(964\) | 7.13041 | + | 14.6195i | 0.229655 | + | 0.470863i | ||||
\(965\) | −3.16656 | − | 2.10634i | −0.101935 | − | 0.0678054i | ||||
\(966\) | −0.240305 | − | 0.0689062i | −0.00773167 | − | 0.00221702i | ||||
\(967\) | 7.85327 | − | 19.4375i | 0.252544 | − | 0.625069i | −0.746649 | − | 0.665218i | \(-0.768339\pi\) |
0.999194 | + | 0.0401487i | \(0.0127832\pi\) | |||||||
\(968\) | 5.94272 | 0.191006 | ||||||||
\(969\) | −1.60789 | + | 0.0146472i | −0.0516527 | + | 0.000470536i | ||||
\(970\) | −16.8020 | − | 8.06139i | −0.539480 | − | 0.258836i | ||||
\(971\) | −28.3502 | + | 17.7152i | −0.909802 | + | 0.568507i | −0.902131 | − | 0.431463i | \(-0.857998\pi\) |
−0.00767157 | + | 0.999971i | \(0.502442\pi\) | |||||||
\(972\) | −0.0435515 | − | 1.24715i | −0.00139692 | − | 0.0400024i | ||||
\(973\) | −15.0170 | − | 14.5017i | −0.481423 | − | 0.464904i | ||||
\(974\) | 2.54387 | − | 14.4270i | 0.0815110 | − | 0.462272i | ||||
\(975\) | 0.150989 | + | 0.445112i | 0.00483552 | + | 0.0142550i | ||||
\(976\) | 1.64027 | + | 2.84104i | 0.0525039 | + | 0.0909394i | ||||
\(977\) | 4.46854 | + | 42.5153i | 0.142961 | + | 1.36019i | 0.797117 | + | 0.603826i | \(0.206358\pi\) |
−0.654155 | + | 0.756360i | \(0.726976\pi\) | |||||||
\(978\) | 0.208760 | + | 0.516700i | 0.00667542 | + | 0.0165222i | ||||
\(979\) | −4.46491 | − | 11.0510i | −0.142699 | − | 0.353193i | ||||
\(980\) | 22.9739 | + | 0.654213i | 0.733876 | + | 0.0208981i | ||||
\(981\) | 7.86265 | − | 8.73235i | 0.251035 | − | 0.278803i | ||||
\(982\) | −3.15348 | − | 1.14777i | −0.100631 | − | 0.0366269i | ||||
\(983\) | 51.8359 | − | 7.28506i | 1.65331 | − | 0.232357i | 0.750028 | − | 0.661406i | \(-0.230040\pi\) |
0.903281 | + | 0.429049i | \(0.141151\pi\) | |||||||
\(984\) | 0.152598 | − | 0.312871i | 0.00486463 | − | 0.00997397i | ||||
\(985\) | 26.5391 | + | 23.5883i | 0.845606 | + | 0.751586i | ||||
\(986\) | 62.2690 | + | 4.35427i | 1.98305 | + | 0.138668i | ||||
\(987\) | −1.69452 | − | 1.23114i | −0.0539370 | − | 0.0391876i | ||||
\(988\) | 6.42707 | + | 6.09439i | 0.204472 | + | 0.193888i | ||||
\(989\) | −7.82580 | + | 5.68578i | −0.248846 | + | 0.180797i | ||||
\(990\) | −20.3858 | + | 18.5945i | −0.647903 | + | 0.590971i | ||||
\(991\) | 42.1283 | + | 12.0801i | 1.33825 | + | 0.383737i | 0.867020 | − | 0.498274i | \(-0.166033\pi\) |
0.471230 | + | 0.882011i | \(0.343810\pi\) | |||||||
\(992\) | 6.66453 | − | 3.54359i | 0.211599 | − | 0.112509i | ||||
\(993\) | 0.00617772 | − | 0.0350356i | 0.000196044 | − | 0.00111182i | ||||
\(994\) | 1.51422 | − | 43.3616i | 0.0480282 | − | 1.37535i | ||||
\(995\) | 8.93230 | + | 2.16609i | 0.283173 | + | 0.0686696i | ||||
\(996\) | 0.128401 | + | 0.142604i | 0.00406856 | + | 0.00451859i | ||||
\(997\) | −2.82807 | − | 6.99971i | −0.0895658 | − | 0.221683i | 0.875752 | − | 0.482762i | \(-0.160366\pi\) |
−0.965318 | + | 0.261079i | \(0.915922\pi\) | |||||||
\(998\) | 7.60689 | − | 30.5096i | 0.240792 | − | 0.965764i | ||||
\(999\) | −1.27702 | + | 2.21187i | −0.0404032 | + | 0.0699803i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 950.2.bc.a.111.13 | ✓ | 600 | |
19.6 | even | 9 | inner | 950.2.bc.a.861.13 | yes | 600 | |
25.16 | even | 5 | inner | 950.2.bc.a.491.13 | yes | 600 | |
475.291 | even | 45 | inner | 950.2.bc.a.291.13 | yes | 600 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.bc.a.111.13 | ✓ | 600 | 1.1 | even | 1 | trivial | |
950.2.bc.a.291.13 | yes | 600 | 475.291 | even | 45 | inner | |
950.2.bc.a.491.13 | yes | 600 | 25.16 | even | 5 | inner | |
950.2.bc.a.861.13 | yes | 600 | 19.6 | even | 9 | inner |