Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(13,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.t (of order \(18\), degree \(6\), 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: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 85.25 | ||
Character | \(\chi\) | \(=\) | 216.85 |
Dual form | 216.2.t.a.61.25 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.841104 | − | 1.13690i | 0.594751 | − | 0.803910i | ||||
\(3\) | −1.24334 | + | 1.20586i | −0.717845 | + | 0.696203i | ||||
\(4\) | −0.585087 | − | 1.91250i | −0.292544 | − | 0.956252i | ||||
\(5\) | −0.528590 | − | 0.0932048i | −0.236393 | − | 0.0416824i | 0.0541965 | − | 0.998530i | \(-0.482740\pi\) |
−0.290589 | + | 0.956848i | \(0.593851\pi\) | |||||||
\(6\) | 0.325159 | + | 2.42781i | 0.132746 | + | 0.991150i | ||||
\(7\) | 3.53662 | − | 2.96758i | 1.33672 | − | 1.12164i | 0.354262 | − | 0.935146i | \(-0.384732\pi\) |
0.982456 | − | 0.186494i | \(-0.0597124\pi\) | |||||||
\(8\) | −2.66645 | − | 0.943430i | −0.942731 | − | 0.333553i | ||||
\(9\) | 0.0918112 | − | 2.99859i | 0.0306037 | − | 0.999532i | ||||
\(10\) | −0.550564 | + | 0.522560i | −0.174104 | + | 0.165248i | ||||
\(11\) | 3.21180 | − | 0.566327i | 0.968393 | − | 0.170754i | 0.332987 | − | 0.942932i | \(-0.391944\pi\) |
0.635407 | + | 0.772178i | \(0.280832\pi\) | |||||||
\(12\) | 3.03367 | + | 1.67237i | 0.875746 | + | 0.482772i | ||||
\(13\) | −1.23149 | − | 3.38349i | −0.341554 | − | 0.938411i | −0.984944 | − | 0.172873i | \(-0.944695\pi\) |
0.643390 | − | 0.765538i | \(-0.277527\pi\) | |||||||
\(14\) | −0.399175 | − | 6.51684i | −0.106684 | − | 1.74170i | ||||
\(15\) | 0.769612 | − | 0.521520i | 0.198713 | − | 0.134656i | ||||
\(16\) | −3.31535 | + | 2.23796i | −0.828837 | + | 0.559491i | ||||
\(17\) | −1.95280 | + | 3.38235i | −0.473623 | + | 0.820340i | −0.999544 | − | 0.0301939i | \(-0.990388\pi\) |
0.525921 | + | 0.850534i | \(0.323721\pi\) | |||||||
\(18\) | −3.33188 | − | 2.62651i | −0.785332 | − | 0.619075i | ||||
\(19\) | −0.429657 | + | 0.248062i | −0.0985700 | + | 0.0569094i | −0.548475 | − | 0.836167i | \(-0.684791\pi\) |
0.449905 | + | 0.893077i | \(0.351458\pi\) | |||||||
\(20\) | 0.131017 | + | 1.06546i | 0.0292963 | + | 0.238245i | ||||
\(21\) | −0.818761 | + | 7.95439i | −0.178668 | + | 1.73579i | ||||
\(22\) | 2.05760 | − | 4.12783i | 0.438682 | − | 0.880057i | ||||
\(23\) | 5.76013 | + | 4.83332i | 1.20107 | + | 1.00782i | 0.999599 | + | 0.0283221i | \(0.00901640\pi\) |
0.201470 | + | 0.979495i | \(0.435428\pi\) | |||||||
\(24\) | 4.45295 | − | 2.04235i | 0.908956 | − | 0.416893i | ||||
\(25\) | −4.42774 | − | 1.61157i | −0.885548 | − | 0.322313i | ||||
\(26\) | −4.88250 | − | 1.44579i | −0.957538 | − | 0.283542i | ||||
\(27\) | 3.50173 | + | 3.83900i | 0.673908 | + | 0.738815i | ||||
\(28\) | −7.74474 | − | 5.02752i | −1.46362 | − | 0.950111i | ||||
\(29\) | −0.222837 | + | 0.612239i | −0.0413797 | + | 0.113690i | −0.958662 | − | 0.284549i | \(-0.908156\pi\) |
0.917282 | + | 0.398239i | \(0.130378\pi\) | |||||||
\(30\) | 0.0544077 | − | 1.31362i | 0.00993344 | − | 0.239834i | ||||
\(31\) | 1.23894 | + | 1.03959i | 0.222519 | + | 0.186716i | 0.747232 | − | 0.664564i | \(-0.231383\pi\) |
−0.524712 | + | 0.851280i | \(0.675827\pi\) | |||||||
\(32\) | −0.244209 | + | 5.65158i | −0.0431705 | + | 0.999068i | ||||
\(33\) | −3.31046 | + | 4.57711i | −0.576277 | + | 0.796773i | ||||
\(34\) | 2.20289 | + | 5.06505i | 0.377792 | + | 0.868648i | ||||
\(35\) | −2.14602 | + | 1.23900i | −0.362743 | + | 0.209430i | ||||
\(36\) | −5.78854 | + | 1.57885i | −0.964757 | + | 0.263142i | ||||
\(37\) | 5.48132 | + | 3.16464i | 0.901124 | + | 0.520264i | 0.877565 | − | 0.479458i | \(-0.159167\pi\) |
0.0235593 | + | 0.999722i | \(0.492500\pi\) | |||||||
\(38\) | −0.0793637 | + | 0.697123i | −0.0128745 | + | 0.113088i | ||||
\(39\) | 5.61117 | + | 2.72184i | 0.898507 | + | 0.435843i | ||||
\(40\) | 1.32153 | + | 0.747213i | 0.208952 | + | 0.118145i | ||||
\(41\) | −6.37217 | + | 2.31928i | −0.995166 | + | 0.362211i | −0.787719 | − | 0.616035i | \(-0.788738\pi\) |
−0.207448 | + | 0.978246i | \(0.566516\pi\) | |||||||
\(42\) | 8.35469 | + | 7.62132i | 1.28916 | + | 1.17600i | ||||
\(43\) | −0.975843 | + | 0.172067i | −0.148815 | + | 0.0262400i | −0.247559 | − | 0.968873i | \(-0.579628\pi\) |
0.0987445 | + | 0.995113i | \(0.468517\pi\) | |||||||
\(44\) | −2.96228 | − | 5.81123i | −0.446581 | − | 0.876075i | ||||
\(45\) | −0.328014 | + | 1.57647i | −0.0488974 | + | 0.235006i | ||||
\(46\) | 10.3399 | − | 2.48337i | 1.52453 | − | 0.366152i | ||||
\(47\) | −3.76949 | + | 3.16298i | −0.549837 | + | 0.461368i | −0.874886 | − | 0.484329i | \(-0.839064\pi\) |
0.325049 | + | 0.945697i | \(0.394619\pi\) | |||||||
\(48\) | 1.42345 | − | 6.78040i | 0.205457 | − | 0.978666i | ||||
\(49\) | 2.48564 | − | 14.0968i | 0.355092 | − | 2.01383i | ||||
\(50\) | −5.55638 | + | 3.67841i | −0.785791 | + | 0.520206i | ||||
\(51\) | −1.65063 | − | 6.56022i | −0.231134 | − | 0.918615i | ||||
\(52\) | −5.75041 | + | 4.33486i | −0.797438 | + | 0.601138i | ||||
\(53\) | − | 3.01668i | − | 0.414372i | −0.978302 | − | 0.207186i | \(-0.933569\pi\) | ||
0.978302 | − | 0.207186i | \(-0.0664306\pi\) | |||||||
\(54\) | 7.30988 | − | 0.752120i | 0.994748 | − | 0.102351i | ||||
\(55\) | −1.75051 | −0.236039 | ||||||||
\(56\) | −12.2299 | + | 4.57634i | −1.63429 | + | 0.611539i | ||||
\(57\) | 0.235083 | − | 0.826532i | 0.0311375 | − | 0.109477i | ||||
\(58\) | 0.508626 | + | 0.768300i | 0.0667859 | + | 0.100883i | ||||
\(59\) | 3.23871 | + | 0.571073i | 0.421645 | + | 0.0743473i | 0.380445 | − | 0.924804i | \(-0.375771\pi\) |
0.0411997 | + | 0.999151i | \(0.486882\pi\) | |||||||
\(60\) | −1.44770 | − | 1.16675i | −0.186897 | − | 0.150627i | ||||
\(61\) | 7.64643 | + | 9.11267i | 0.979026 | + | 1.16676i | 0.985994 | + | 0.166781i | \(0.0533374\pi\) |
−0.00696835 | + | 0.999976i | \(0.502218\pi\) | |||||||
\(62\) | 2.22398 | − | 0.534143i | 0.282446 | − | 0.0678362i | ||||
\(63\) | −8.57387 | − | 10.8774i | −1.08021 | − | 1.37042i | ||||
\(64\) | 6.21988 | + | 5.03121i | 0.777485 | + | 0.628901i | ||||
\(65\) | 0.335596 | + | 1.90326i | 0.0416256 | + | 0.236070i | ||||
\(66\) | 2.41928 | + | 7.61349i | 0.297793 | + | 0.937156i | ||||
\(67\) | −4.90853 | − | 13.4861i | −0.599672 | − | 1.64759i | −0.751929 | − | 0.659244i | \(-0.770876\pi\) |
0.152257 | − | 0.988341i | \(-0.451346\pi\) | |||||||
\(68\) | 7.61131 | + | 1.75577i | 0.923007 | + | 0.212918i | ||||
\(69\) | −12.9901 | + | 0.936415i | −1.56383 | + | 0.112731i | ||||
\(70\) | −0.396400 | + | 3.48194i | −0.0473789 | + | 0.416172i | ||||
\(71\) | 2.84000 | − | 4.91903i | 0.337046 | − | 0.583781i | −0.646830 | − | 0.762635i | \(-0.723905\pi\) |
0.983876 | + | 0.178853i | \(0.0572388\pi\) | |||||||
\(72\) | −3.07377 | + | 7.90898i | −0.362248 | + | 0.932082i | ||||
\(73\) | 7.83610 | + | 13.5725i | 0.917146 | + | 1.58854i | 0.803728 | + | 0.594997i | \(0.202847\pi\) |
0.113419 | + | 0.993547i | \(0.463820\pi\) | |||||||
\(74\) | 8.20825 | − | 3.56993i | 0.954190 | − | 0.414995i | ||||
\(75\) | 7.44853 | − | 3.33550i | 0.860082 | − | 0.385150i | ||||
\(76\) | 0.725807 | + | 0.676582i | 0.0832558 | + | 0.0776093i | ||||
\(77\) | 9.67830 | − | 11.5342i | 1.10294 | − | 1.31444i | ||||
\(78\) | 7.81405 | − | 4.09000i | 0.884767 | − | 0.463101i | ||||
\(79\) | 7.15768 | + | 2.60518i | 0.805302 | + | 0.293106i | 0.711682 | − | 0.702502i | \(-0.247934\pi\) |
0.0936200 | + | 0.995608i | \(0.470156\pi\) | |||||||
\(80\) | 1.96105 | − | 0.873960i | 0.219252 | − | 0.0977117i | ||||
\(81\) | −8.98314 | − | 0.550609i | −0.998127 | − | 0.0611788i | ||||
\(82\) | −2.72287 | + | 9.19529i | −0.300691 | + | 1.01545i | ||||
\(83\) | −5.22327 | + | 14.3508i | −0.573328 | + | 1.57521i | 0.225882 | + | 0.974155i | \(0.427474\pi\) |
−0.799210 | + | 0.601052i | \(0.794749\pi\) | |||||||
\(84\) | 15.6919 | − | 3.08813i | 1.71212 | − | 0.336942i | ||||
\(85\) | 1.34748 | − | 1.60587i | 0.146155 | − | 0.174181i | ||||
\(86\) | −0.625162 | + | 1.25416i | −0.0674129 | + | 0.135240i | ||||
\(87\) | −0.461211 | − | 1.02993i | −0.0494470 | − | 0.110420i | ||||
\(88\) | −9.09838 | − | 1.52002i | −0.969890 | − | 0.162035i | ||||
\(89\) | −1.47797 | − | 2.55991i | −0.156664 | − | 0.271350i | 0.777000 | − | 0.629501i | \(-0.216741\pi\) |
−0.933664 | + | 0.358151i | \(0.883407\pi\) | |||||||
\(90\) | 1.51640 | + | 1.69890i | 0.159842 | + | 0.179079i | ||||
\(91\) | −14.3961 | − | 8.31159i | −1.50912 | − | 0.871291i | ||||
\(92\) | 5.87357 | − | 13.8442i | 0.612362 | − | 1.44336i | ||||
\(93\) | −2.79402 | + | 0.201412i | −0.289727 | + | 0.0208854i | ||||
\(94\) | 0.425458 | + | 6.94594i | 0.0438827 | + | 0.716419i | ||||
\(95\) | 0.250233 | − | 0.0910774i | 0.0256734 | − | 0.00934434i | ||||
\(96\) | −6.51137 | − | 7.32134i | −0.664564 | − | 0.747231i | ||||
\(97\) | −0.656997 | − | 3.72601i | −0.0667079 | − | 0.378319i | −0.999824 | − | 0.0187449i | \(-0.994033\pi\) |
0.933116 | − | 0.359574i | \(-0.117078\pi\) | |||||||
\(98\) | −13.9360 | − | 14.6828i | −1.40774 | − | 1.48319i | ||||
\(99\) | −1.40330 | − | 9.68287i | −0.141037 | − | 0.973165i | ||||
\(100\) | −0.491513 | + | 9.41098i | −0.0491513 | + | 0.941098i | ||||
\(101\) | −7.01349 | − | 8.35836i | −0.697869 | − | 0.831687i | 0.294415 | − | 0.955678i | \(-0.404875\pi\) |
−0.992283 | + | 0.123990i | \(0.960431\pi\) | |||||||
\(102\) | −8.84667 | − | 3.64123i | −0.875951 | − | 0.360535i | ||||
\(103\) | −0.992120 | + | 5.62659i | −0.0977565 | + | 0.554405i | 0.896111 | + | 0.443829i | \(0.146380\pi\) |
−0.993868 | + | 0.110575i | \(0.964731\pi\) | |||||||
\(104\) | 0.0916177 | + | 10.1837i | 0.00898385 | + | 0.998596i | ||||
\(105\) | 1.17418 | − | 4.12830i | 0.114588 | − | 0.402881i | ||||
\(106\) | −3.42966 | − | 2.53734i | −0.333118 | − | 0.246448i | ||||
\(107\) | 10.9720i | 1.06070i | 0.847778 | + | 0.530352i | \(0.177940\pi\) | ||||
−0.847778 | + | 0.530352i | \(0.822060\pi\) | |||||||
\(108\) | 5.29328 | − | 8.94322i | 0.509346 | − | 0.860562i | ||||
\(109\) | − | 10.8514i | − | 1.03938i | −0.854356 | − | 0.519688i | \(-0.826048\pi\) | ||
0.854356 | − | 0.519688i | \(-0.173952\pi\) | |||||||
\(110\) | −1.47236 | + | 1.99016i | −0.140384 | + | 0.189754i | ||||
\(111\) | −10.6313 | + | 2.67496i | −1.00908 | + | 0.253896i | ||||
\(112\) | −5.08380 | + | 17.7534i | −0.480374 | + | 1.67754i | ||||
\(113\) | −0.590124 | + | 3.34676i | −0.0555142 | + | 0.314837i | −0.999902 | − | 0.0139970i | \(-0.995544\pi\) |
0.944388 | + | 0.328834i | \(0.106656\pi\) | |||||||
\(114\) | −0.741956 | − | 0.962466i | −0.0694905 | − | 0.0901432i | ||||
\(115\) | −2.59426 | − | 3.09172i | −0.241916 | − | 0.288304i | ||||
\(116\) | 1.30129 | + | 0.0679631i | 0.120822 | + | 0.00631022i | ||||
\(117\) | −10.2588 | + | 3.38210i | −0.948424 | + | 0.312675i | ||||
\(118\) | 3.37335 | − | 3.20176i | 0.310542 | − | 0.294746i | ||||
\(119\) | 3.13107 | + | 17.7572i | 0.287025 | + | 1.62780i | ||||
\(120\) | −2.54415 | + | 0.664530i | −0.232248 | + | 0.0606630i | ||||
\(121\) | −0.341702 | + | 0.124369i | −0.0310639 | + | 0.0113063i | ||||
\(122\) | 16.7916 | − | 1.02854i | 1.52024 | − | 0.0931192i | ||||
\(123\) | 5.12608 | − | 10.5676i | 0.462203 | − | 0.952849i | ||||
\(124\) | 1.26334 | − | 2.97772i | 0.113451 | − | 0.267407i | ||||
\(125\) | 4.51443 | + | 2.60641i | 0.403783 | + | 0.233124i | ||||
\(126\) | −19.5780 | + | 0.598644i | −1.74415 | + | 0.0533315i | ||||
\(127\) | −0.235764 | − | 0.408356i | −0.0209207 | − | 0.0362357i | 0.855376 | − | 0.518008i | \(-0.173326\pi\) |
−0.876296 | + | 0.481773i | \(0.839993\pi\) | |||||||
\(128\) | 10.9516 | − | 2.83962i | 0.967990 | − | 0.250989i | ||||
\(129\) | 1.00582 | − | 1.39067i | 0.0885575 | − | 0.122441i | ||||
\(130\) | 2.44609 | + | 1.21930i | 0.214536 | + | 0.106940i | ||||
\(131\) | 8.89337 | − | 10.5987i | 0.777017 | − | 0.926013i | −0.221777 | − | 0.975097i | \(-0.571186\pi\) |
0.998795 | + | 0.0490841i | \(0.0156302\pi\) | |||||||
\(132\) | 10.6907 | + | 3.65326i | 0.930502 | + | 0.317976i | ||||
\(133\) | −0.783389 | + | 2.15234i | −0.0679285 | + | 0.186632i | ||||
\(134\) | −19.4609 | − | 5.76268i | −1.68117 | − | 0.497820i | ||||
\(135\) | −1.49317 | − | 2.35564i | −0.128511 | − | 0.202741i | ||||
\(136\) | 8.39804 | − | 7.17652i | 0.720126 | − | 0.615382i | ||||
\(137\) | −10.3040 | − | 3.75036i | −0.880332 | − | 0.320415i | −0.137988 | − | 0.990434i | \(-0.544064\pi\) |
−0.742344 | + | 0.670019i | \(0.766286\pi\) | |||||||
\(138\) | −9.86143 | + | 15.5561i | −0.839461 | + | 1.32422i | ||||
\(139\) | −1.01062 | + | 1.20441i | −0.0857193 | + | 0.102156i | −0.807199 | − | 0.590279i | \(-0.799018\pi\) |
0.721480 | + | 0.692435i | \(0.243462\pi\) | |||||||
\(140\) | 3.62521 | + | 3.37934i | 0.306386 | + | 0.285607i | ||||
\(141\) | 0.872672 | − | 8.47815i | 0.0734923 | − | 0.713989i | ||||
\(142\) | −3.20371 | − | 7.36622i | −0.268849 | − | 0.618159i | ||||
\(143\) | −5.87145 | − | 10.1697i | −0.490996 | − | 0.850429i | ||||
\(144\) | 6.40636 | + | 10.1468i | 0.533863 | + | 0.845571i | ||||
\(145\) | 0.174853 | − | 0.302854i | 0.0145207 | − | 0.0251507i | ||||
\(146\) | 22.0216 | + | 2.50704i | 1.82252 | + | 0.207484i | ||||
\(147\) | 13.9082 | + | 20.5245i | 1.14713 | + | 1.69283i | ||||
\(148\) | 2.84534 | − | 12.3346i | 0.233886 | − | 1.01390i | ||||
\(149\) | −2.56998 | − | 7.06096i | −0.210541 | − | 0.578456i | 0.788804 | − | 0.614645i | \(-0.210701\pi\) |
−0.999345 | + | 0.0361885i | \(0.988478\pi\) | |||||||
\(150\) | 2.47286 | − | 11.2737i | 0.201908 | − | 0.920497i | ||||
\(151\) | −1.19497 | − | 6.77702i | −0.0972455 | − | 0.551506i | −0.994036 | − | 0.109051i | \(-0.965219\pi\) |
0.896791 | − | 0.442455i | \(-0.145892\pi\) | |||||||
\(152\) | 1.37969 | − | 0.256094i | 0.111907 | − | 0.0207720i | ||||
\(153\) | 9.96300 | + | 6.16619i | 0.805461 | + | 0.498507i | ||||
\(154\) | −4.97273 | − | 20.7047i | −0.400714 | − | 1.66843i | ||||
\(155\) | −0.557995 | − | 0.664992i | −0.0448192 | − | 0.0534135i | ||||
\(156\) | 1.92251 | − | 12.3239i | 0.153924 | − | 0.986702i | ||||
\(157\) | 5.91336 | + | 1.04268i | 0.471937 | + | 0.0832153i | 0.404558 | − | 0.914512i | \(-0.367425\pi\) |
0.0673790 | + | 0.997727i | \(0.478536\pi\) | |||||||
\(158\) | 8.98219 | − | 5.94634i | 0.714584 | − | 0.473065i | ||||
\(159\) | 3.63768 | + | 3.75077i | 0.288487 | + | 0.297455i | ||||
\(160\) | 0.655841 | − | 2.96461i | 0.0518488 | − | 0.234373i | ||||
\(161\) | 34.7147 | 2.73590 | ||||||||
\(162\) | −8.18175 | + | 9.74982i | −0.642819 | + | 0.766018i | ||||
\(163\) | 23.2811i | 1.82351i | 0.410732 | + | 0.911756i | \(0.365273\pi\) | ||||
−0.410732 | + | 0.911756i | \(0.634727\pi\) | |||||||
\(164\) | 8.16391 | + | 10.8298i | 0.637495 | + | 0.845668i | ||||
\(165\) | 2.17649 | − | 2.11087i | 0.169439 | − | 0.164331i | ||||
\(166\) | 11.9221 | + | 18.0089i | 0.925337 | + | 1.39776i | ||||
\(167\) | 3.63941 | − | 20.6401i | 0.281626 | − | 1.59718i | −0.435469 | − | 0.900204i | \(-0.643418\pi\) |
0.717095 | − | 0.696975i | \(-0.245471\pi\) | |||||||
\(168\) | 9.68759 | − | 20.4375i | 0.747414 | − | 1.57679i | ||||
\(169\) | 0.0271444 | − | 0.0227769i | 0.00208803 | − | 0.00175207i | ||||
\(170\) | −0.692338 | − | 2.88265i | −0.0530999 | − | 0.221089i | ||||
\(171\) | 0.704391 | + | 1.31114i | 0.0538661 | + | 0.100265i | ||||
\(172\) | 0.900033 | + | 1.76563i | 0.0686268 | + | 0.134628i | ||||
\(173\) | −6.07203 | + | 1.07066i | −0.461648 | + | 0.0814009i | −0.399635 | − | 0.916674i | \(-0.630863\pi\) |
−0.0620128 | + | 0.998075i | \(0.519752\pi\) | |||||||
\(174\) | −1.55886 | − | 0.341931i | −0.118177 | − | 0.0259217i | ||||
\(175\) | −20.4417 | + | 7.44018i | −1.54525 | + | 0.562424i | ||||
\(176\) | −9.38080 | + | 9.06545i | −0.707105 | + | 0.683334i | ||||
\(177\) | −4.71547 | + | 3.19539i | −0.354436 | + | 0.240180i | ||||
\(178\) | −4.15349 | − | 0.472853i | −0.311317 | − | 0.0354418i | ||||
\(179\) | 17.5322 | + | 10.1222i | 1.31041 | + | 0.756568i | 0.982165 | − | 0.188023i | \(-0.0602078\pi\) |
0.328250 | + | 0.944591i | \(0.393541\pi\) | |||||||
\(180\) | 3.20693 | − | 0.295045i | 0.239030 | − | 0.0219914i | ||||
\(181\) | −13.8486 | + | 7.99549i | −1.02936 | + | 0.594300i | −0.916801 | − | 0.399345i | \(-0.869237\pi\) |
−0.112557 | + | 0.993645i | \(0.535904\pi\) | |||||||
\(182\) | −21.5581 | + | 9.37602i | −1.59799 | + | 0.694997i | ||||
\(183\) | −20.4957 | − | 2.10967i | −1.51509 | − | 0.155951i | ||||
\(184\) | −10.7992 | − | 18.3221i | −0.796126 | − | 1.35072i | ||||
\(185\) | −2.60242 | − | 2.18369i | −0.191333 | − | 0.160548i | ||||
\(186\) | −2.12108 | + | 3.34593i | −0.155525 | + | 0.245336i | ||||
\(187\) | −4.35648 | + | 11.9693i | −0.318578 | + | 0.875284i | ||||
\(188\) | 8.25469 | + | 5.35855i | 0.602035 | + | 0.390813i | ||||
\(189\) | 23.7768 | + | 3.18544i | 1.72951 | + | 0.231706i | ||||
\(190\) | 0.106926 | − | 0.361096i | 0.00775724 | − | 0.0261966i | ||||
\(191\) | 4.78680 | + | 1.74225i | 0.346361 | + | 0.126065i | 0.509342 | − | 0.860564i | \(-0.329889\pi\) |
−0.162981 | + | 0.986629i | \(0.552111\pi\) | |||||||
\(192\) | −13.8004 | + | 1.24477i | −0.995957 | + | 0.0898334i | ||||
\(193\) | 7.42183 | + | 6.22766i | 0.534235 | + | 0.448277i | 0.869561 | − | 0.493826i | \(-0.164402\pi\) |
−0.335326 | + | 0.942102i | \(0.608846\pi\) | |||||||
\(194\) | −4.78871 | − | 2.38703i | −0.343809 | − | 0.171378i | ||||
\(195\) | −2.71232 | − | 1.96173i | −0.194234 | − | 0.140482i | ||||
\(196\) | −28.4145 | + | 3.49404i | −2.02961 | + | 0.249574i | ||||
\(197\) | −9.25222 | + | 5.34177i | −0.659194 | + | 0.380586i | −0.791970 | − | 0.610560i | \(-0.790944\pi\) |
0.132776 | + | 0.991146i | \(0.457611\pi\) | |||||||
\(198\) | −12.1888 | − | 6.54889i | −0.866220 | − | 0.465409i | ||||
\(199\) | −2.67611 | + | 4.63515i | −0.189704 | + | 0.328577i | −0.945152 | − | 0.326632i | \(-0.894086\pi\) |
0.755447 | + | 0.655209i | \(0.227420\pi\) | |||||||
\(200\) | 10.2859 | + | 8.47442i | 0.727326 | + | 0.599232i | ||||
\(201\) | 22.3653 | + | 10.8488i | 1.57753 | + | 0.765218i | ||||
\(202\) | −15.4017 | + | 0.943398i | −1.08366 | + | 0.0663772i | ||||
\(203\) | 1.02878 | + | 2.82655i | 0.0722061 | + | 0.198385i | ||||
\(204\) | −11.5807 | + | 6.99514i | −0.810811 | + | 0.489758i | ||||
\(205\) | 3.58444 | − | 0.632033i | 0.250348 | − | 0.0441431i | ||||
\(206\) | 5.56240 | + | 5.86049i | 0.387551 | + | 0.408320i | ||||
\(207\) | 15.0220 | − | 16.8285i | 1.04410 | − | 1.16966i | ||||
\(208\) | 11.6549 | + | 8.46141i | 0.808125 | + | 0.586693i | ||||
\(209\) | −1.23949 | + | 1.04005i | −0.0857370 | + | 0.0719419i | ||||
\(210\) | −3.70587 | − | 4.80726i | −0.255729 | − | 0.331732i | ||||
\(211\) | −6.14229 | − | 1.08305i | −0.422853 | − | 0.0745603i | −0.0418271 | − | 0.999125i | \(-0.513318\pi\) |
−0.381025 | + | 0.924565i | \(0.624429\pi\) | |||||||
\(212\) | −5.76941 | + | 1.76502i | −0.396244 | + | 0.121222i | ||||
\(213\) | 2.40055 | + | 9.54069i | 0.164483 | + | 0.653717i | ||||
\(214\) | 12.4741 | + | 9.22860i | 0.852711 | + | 0.630854i | ||||
\(215\) | 0.531859 | 0.0362725 | ||||||||
\(216\) | −5.71535 | − | 13.5401i | −0.388880 | − | 0.921288i | ||||
\(217\) | 7.46672 | 0.506874 | ||||||||
\(218\) | −12.3370 | − | 9.12717i | −0.835566 | − | 0.618170i | ||||
\(219\) | −26.1095 | − | 7.42610i | −1.76432 | − | 0.501809i | ||||
\(220\) | 1.02420 | + | 3.34786i | 0.0690516 | + | 0.225713i | ||||
\(221\) | 13.8490 | + | 2.44195i | 0.931584 | + | 0.164263i | ||||
\(222\) | −5.90086 | + | 14.3366i | −0.396040 | + | 0.962212i | ||||
\(223\) | −3.33662 | + | 2.79976i | −0.223437 | + | 0.187486i | −0.747634 | − | 0.664111i | \(-0.768810\pi\) |
0.524197 | + | 0.851597i | \(0.324366\pi\) | |||||||
\(224\) | 15.9078 | + | 20.7122i | 1.06289 | + | 1.38389i | ||||
\(225\) | −5.23895 | + | 13.1290i | −0.349263 | + | 0.875270i | ||||
\(226\) | 3.30858 | + | 3.48589i | 0.220083 | + | 0.231878i | ||||
\(227\) | −8.75242 | + | 1.54329i | −0.580919 | + | 0.102432i | −0.456383 | − | 0.889783i | \(-0.650855\pi\) |
−0.124536 | + | 0.992215i | \(0.539744\pi\) | |||||||
\(228\) | −1.71829 | + | 0.0339958i | −0.113797 | + | 0.00225142i | ||||
\(229\) | −5.45148 | − | 14.9778i | −0.360244 | − | 0.989762i | −0.978943 | − | 0.204134i | \(-0.934562\pi\) |
0.618699 | − | 0.785628i | \(-0.287660\pi\) | |||||||
\(230\) | −5.69702 | + | 0.348958i | −0.375650 | + | 0.0230096i | ||||
\(231\) | 1.87509 | + | 26.0116i | 0.123372 | + | 1.71144i | ||||
\(232\) | 1.17179 | − | 1.42227i | 0.0769316 | − | 0.0933767i | ||||
\(233\) | 5.28886 | − | 9.16058i | 0.346485 | − | 0.600129i | −0.639138 | − | 0.769092i | \(-0.720709\pi\) |
0.985622 | + | 0.168963i | \(0.0540419\pi\) | |||||||
\(234\) | −4.78359 | + | 14.5079i | −0.312713 | + | 0.948412i | ||||
\(235\) | 2.28732 | − | 1.32059i | 0.149208 | − | 0.0861456i | ||||
\(236\) | −0.802751 | − | 6.52818i | −0.0522546 | − | 0.424948i | ||||
\(237\) | −12.0409 | + | 5.39201i | −0.782143 | + | 0.350248i | ||||
\(238\) | 22.8217 | + | 11.3759i | 1.47931 | + | 0.737392i | ||||
\(239\) | −18.6662 | − | 15.6628i | −1.20742 | − | 1.01314i | −0.999387 | − | 0.0350216i | \(-0.988850\pi\) |
−0.208031 | − | 0.978122i | \(-0.566706\pi\) | |||||||
\(240\) | −1.38439 | + | 3.45138i | −0.0893618 | + | 0.222786i | ||||
\(241\) | −11.3590 | − | 4.13433i | −0.731696 | − | 0.266316i | −0.0508137 | − | 0.998708i | \(-0.516181\pi\) |
−0.680883 | + | 0.732392i | \(0.738404\pi\) | |||||||
\(242\) | −0.146012 | + | 0.493089i | −0.00938598 | + | 0.0316970i | ||||
\(243\) | 11.8331 | − | 10.1478i | 0.759093 | − | 0.650982i | ||||
\(244\) | 12.9542 | − | 19.9555i | 0.829306 | − | 1.27752i | ||||
\(245\) | −2.62777 | + | 7.21975i | −0.167882 | + | 0.461253i | ||||
\(246\) | −7.70275 | − | 14.7163i | −0.491109 | − | 0.938277i | ||||
\(247\) | 1.36843 | + | 1.14825i | 0.0870714 | + | 0.0730615i | ||||
\(248\) | −2.32278 | − | 3.94086i | −0.147496 | − | 0.250245i | ||||
\(249\) | −10.8107 | − | 24.1415i | −0.685102 | − | 1.52991i | ||||
\(250\) | 6.76033 | − | 2.94020i | 0.427561 | − | 0.185955i | ||||
\(251\) | −18.3953 | + | 10.6206i | −1.16110 | + | 0.670363i | −0.951568 | − | 0.307438i | \(-0.900528\pi\) |
−0.209535 | + | 0.977801i | \(0.567195\pi\) | |||||||
\(252\) | −15.7865 | + | 22.7618i | −0.994459 | + | 1.43386i | ||||
\(253\) | 21.2376 | + | 12.2615i | 1.33520 | + | 0.770876i | ||||
\(254\) | −0.662563 | − | 0.0754292i | −0.0415729 | − | 0.00473285i | ||||
\(255\) | 0.261063 | + | 3.62152i | 0.0163484 | + | 0.226788i | ||||
\(256\) | 5.98304 | − | 14.8392i | 0.373940 | − | 0.927453i | ||||
\(257\) | −7.46449 | + | 2.71685i | −0.465622 | + | 0.169473i | −0.564168 | − | 0.825660i | \(-0.690803\pi\) |
0.0985460 | + | 0.995132i | \(0.468581\pi\) | |||||||
\(258\) | −0.735051 | − | 2.31321i | −0.0457623 | − | 0.144014i | ||||
\(259\) | 28.7767 | − | 5.07411i | 1.78810 | − | 0.315290i | ||||
\(260\) | 3.44364 | − | 1.75540i | 0.213566 | − | 0.108865i | ||||
\(261\) | 1.81540 | + | 0.724408i | 0.112370 | + | 0.0448397i | ||||
\(262\) | −4.56943 | − | 19.0255i | −0.282300 | − | 1.17540i | ||||
\(263\) | 1.51853 | − | 1.27420i | 0.0936365 | − | 0.0785703i | −0.594768 | − | 0.803898i | \(-0.702756\pi\) |
0.688404 | + | 0.725327i | \(0.258312\pi\) | |||||||
\(264\) | 13.1454 | − | 9.08144i | 0.809040 | − | 0.558924i | ||||
\(265\) | −0.281169 | + | 1.59459i | −0.0172720 | + | 0.0979546i | ||||
\(266\) | 1.78809 | + | 2.70098i | 0.109635 | + | 0.165608i | ||||
\(267\) | 4.92452 | + | 1.40064i | 0.301375 | + | 0.0857175i | ||||
\(268\) | −22.9202 | + | 17.2781i | −1.40008 | + | 1.05543i | ||||
\(269\) | − | 10.8443i | − | 0.661189i | −0.943773 | − | 0.330594i | \(-0.892751\pi\) | ||
0.943773 | − | 0.330594i | \(-0.107249\pi\) | |||||||
\(270\) | −3.93403 | − | 0.283752i | −0.239418 | − | 0.0172686i | ||||
\(271\) | 10.0732 | 0.611902 | 0.305951 | − | 0.952047i | \(-0.401026\pi\) | ||||
0.305951 | + | 0.952047i | \(0.401026\pi\) | |||||||
\(272\) | −1.09536 | − | 15.5839i | −0.0664163 | − | 0.944915i | ||||
\(273\) | 27.9219 | − | 7.02548i | 1.68991 | − | 0.425201i | ||||
\(274\) | −12.9305 | + | 8.56021i | −0.781163 | + | 0.517141i | ||||
\(275\) | −15.1337 | − | 2.66848i | −0.912595 | − | 0.160915i | ||||
\(276\) | 9.39125 | + | 24.2958i | 0.565287 | + | 1.46243i | ||||
\(277\) | 15.2273 | + | 18.1472i | 0.914919 | + | 1.09036i | 0.995608 | + | 0.0936189i | \(0.0298435\pi\) |
−0.0806889 | + | 0.996739i | \(0.525712\pi\) | |||||||
\(278\) | 0.519256 | + | 2.16200i | 0.0311429 | + | 0.129668i | ||||
\(279\) | 3.23106 | − | 3.61962i | 0.193438 | − | 0.216701i | ||||
\(280\) | 6.89116 | − | 1.27912i | 0.411826 | − | 0.0764422i | ||||
\(281\) | −2.96256 | − | 16.8015i | −0.176732 | − | 1.00229i | −0.936126 | − | 0.351664i | \(-0.885616\pi\) |
0.759394 | − | 0.650630i | \(-0.225495\pi\) | |||||||
\(282\) | −8.90481 | − | 8.12315i | −0.530273 | − | 0.483726i | ||||
\(283\) | 1.72127 | + | 4.72914i | 0.102319 | + | 0.281118i | 0.980280 | − | 0.197613i | \(-0.0633190\pi\) |
−0.877961 | + | 0.478731i | \(0.841097\pi\) | |||||||
\(284\) | −11.0693 | − | 2.55346i | −0.656843 | − | 0.151520i | ||||
\(285\) | −0.201299 | + | 0.414986i | −0.0119239 | + | 0.0245817i | ||||
\(286\) | −16.5004 | − | 1.87848i | −0.975689 | − | 0.111077i | ||||
\(287\) | −15.6533 | + | 27.1124i | −0.923987 | + | 1.60039i | ||||
\(288\) | 16.9244 | + | 1.25116i | 0.997279 | + | 0.0737255i | ||||
\(289\) | 0.873152 | + | 1.51234i | 0.0513619 | + | 0.0889614i | ||||
\(290\) | −0.197246 | − | 0.453523i | −0.0115827 | − | 0.0266318i | ||||
\(291\) | 5.30992 | + | 3.84047i | 0.311273 | + | 0.225133i | ||||
\(292\) | 21.3727 | − | 22.9277i | 1.25074 | − | 1.34174i | ||||
\(293\) | −11.6931 | + | 13.9353i | −0.683117 | + | 0.814108i | −0.990505 | − | 0.137477i | \(-0.956101\pi\) |
0.307388 | + | 0.951584i | \(0.400545\pi\) | |||||||
\(294\) | 35.0326 | + | 1.45098i | 2.04314 | + | 0.0846228i | ||||
\(295\) | −1.65873 | − | 0.603727i | −0.0965748 | − | 0.0351503i | ||||
\(296\) | −11.6300 | − | 13.6096i | −0.675982 | − | 0.791042i | ||||
\(297\) | 13.4210 | + | 10.3470i | 0.778763 | + | 0.600392i | ||||
\(298\) | −10.1892 | − | 3.01719i | −0.590246 | − | 0.174781i | ||||
\(299\) | 9.25995 | − | 25.4415i | 0.535517 | − | 1.47132i | ||||
\(300\) | −10.7372 | − | 12.2938i | −0.619912 | − | 0.709782i | ||||
\(301\) | −2.94057 | + | 3.50443i | −0.169491 | + | 0.201992i | ||||
\(302\) | −8.70990 | − | 4.34162i | −0.501199 | − | 0.249832i | ||||
\(303\) | 18.7992 | + | 1.93504i | 1.07998 | + | 0.111165i | ||||
\(304\) | 0.869306 | − | 1.78397i | 0.0498581 | − | 0.102318i | ||||
\(305\) | −3.19249 | − | 5.52955i | −0.182801 | − | 0.316621i | ||||
\(306\) | 15.3903 | − | 6.14053i | 0.879803 | − | 0.351031i | ||||
\(307\) | −4.06142 | − | 2.34486i | −0.231797 | − | 0.133828i | 0.379604 | − | 0.925149i | \(-0.376060\pi\) |
−0.611401 | + | 0.791321i | \(0.709394\pi\) | |||||||
\(308\) | −27.7218 | − | 11.7613i | −1.57959 | − | 0.670163i | ||||
\(309\) | −5.55133 | − | 8.19215i | −0.315804 | − | 0.466035i | ||||
\(310\) | −1.22536 | + | 0.0750569i | −0.0695959 | + | 0.00426294i | ||||
\(311\) | 23.8183 | − | 8.66914i | 1.35061 | − | 0.491582i | 0.437472 | − | 0.899232i | \(-0.355874\pi\) |
0.913138 | + | 0.407650i | \(0.133652\pi\) | |||||||
\(312\) | −12.3940 | − | 12.5514i | −0.701674 | − | 0.710583i | ||||
\(313\) | −0.898635 | − | 5.09641i | −0.0507938 | − | 0.288066i | 0.948821 | − | 0.315814i | \(-0.102278\pi\) |
−0.999615 | + | 0.0277478i | \(0.991166\pi\) | |||||||
\(314\) | 6.15918 | − | 5.84590i | 0.347583 | − | 0.329903i | ||||
\(315\) | 3.51824 | + | 6.54880i | 0.198231 | + | 0.368983i | ||||
\(316\) | 0.794556 | − | 15.2133i | 0.0446973 | − | 0.855818i | ||||
\(317\) | −8.10759 | − | 9.66225i | −0.455368 | − | 0.542686i | 0.488694 | − | 0.872455i | \(-0.337473\pi\) |
−0.944062 | + | 0.329769i | \(0.893029\pi\) | |||||||
\(318\) | 7.32392 | − | 0.980899i | 0.410705 | − | 0.0550061i | ||||
\(319\) | −0.368979 | + | 2.09259i | −0.0206589 | + | 0.117162i | ||||
\(320\) | −2.81884 | − | 3.23917i | −0.157578 | − | 0.181075i | ||||
\(321\) | −13.2307 | − | 13.6420i | −0.738465 | − | 0.761421i | ||||
\(322\) | 29.1987 | − | 39.4671i | 1.62718 | − | 2.19942i | ||||
\(323\) | − | 1.93766i | − | 0.107814i | ||||||
\(324\) | 4.20288 | + | 17.5025i | 0.233493 | + | 0.972358i | ||||
\(325\) | 16.9658i | 0.941096i | ||||||||
\(326\) | 26.4682 | + | 19.5818i | 1.46594 | + | 1.08454i | ||||
\(327\) | 13.0853 | + | 13.4920i | 0.723617 | + | 0.746112i | ||||
\(328\) | 19.1791 | − | 0.172545i | 1.05899 | − | 0.00952720i | ||||
\(329\) | −3.94488 | + | 22.3725i | −0.217488 | + | 1.23344i | ||||
\(330\) | −0.569194 | − | 4.24991i | −0.0313331 | − | 0.233950i | ||||
\(331\) | −8.45285 | − | 10.0737i | −0.464611 | − | 0.553701i | 0.481962 | − | 0.876192i | \(-0.339924\pi\) |
−0.946573 | + | 0.322491i | \(0.895480\pi\) | |||||||
\(332\) | 30.5021 | + | 1.59305i | 1.67402 | + | 0.0874299i | ||||
\(333\) | 9.99273 | − | 16.1457i | 0.547598 | − | 0.884780i | ||||
\(334\) | −20.4046 | − | 21.4981i | −1.11649 | − | 1.17632i | ||||
\(335\) | 1.33764 | + | 7.58611i | 0.0730828 | + | 0.414473i | ||||
\(336\) | −15.0872 | − | 28.2039i | −0.823072 | − | 1.53865i | ||||
\(337\) | −12.3641 | + | 4.50015i | −0.673513 | + | 0.245139i | −0.656060 | − | 0.754709i | \(-0.727778\pi\) |
−0.0174532 | + | 0.999848i | \(0.505556\pi\) | |||||||
\(338\) | −0.00306376 | − | 0.0500183i | −0.000166647 | − | 0.00272064i | ||||
\(339\) | −3.30199 | − | 4.87278i | −0.179340 | − | 0.264653i | ||||
\(340\) | −3.85962 | − | 1.63749i | −0.209317 | − | 0.0888055i | ||||
\(341\) | 4.56796 | + | 2.63731i | 0.247369 | + | 0.142818i | ||||
\(342\) | 2.08310 | + | 0.301983i | 0.112641 | + | 0.0163294i | ||||
\(343\) | −16.8840 | − | 29.2439i | −0.911649 | − | 1.57902i | ||||
\(344\) | 2.76437 | + | 0.461830i | 0.149045 | + | 0.0249002i | ||||
\(345\) | 6.95373 | + | 0.715761i | 0.374376 | + | 0.0385353i | ||||
\(346\) | −3.88997 | + | 7.80383i | −0.209126 | + | 0.419537i | ||||
\(347\) | −14.5614 | + | 17.3536i | −0.781698 | + | 0.931591i | −0.999009 | − | 0.0445115i | \(-0.985827\pi\) |
0.217311 | + | 0.976102i | \(0.430271\pi\) | |||||||
\(348\) | −1.69990 | + | 1.48467i | −0.0911244 | + | 0.0795866i | ||||
\(349\) | 9.93430 | − | 27.2943i | 0.531771 | − | 1.46103i | −0.325191 | − | 0.945648i | \(-0.605428\pi\) |
0.856962 | − | 0.515380i | \(-0.172349\pi\) | |||||||
\(350\) | −8.73487 | + | 29.4982i | −0.466899 | + | 1.57674i | ||||
\(351\) | 8.67687 | − | 16.5757i | 0.463137 | − | 0.884748i | ||||
\(352\) | 2.41629 | + | 18.2900i | 0.128789 | + | 0.974862i | ||||
\(353\) | −6.27092 | − | 2.28243i | −0.333767 | − | 0.121481i | 0.169700 | − | 0.985496i | \(-0.445720\pi\) |
−0.503467 | + | 0.864014i | \(0.667942\pi\) | |||||||
\(354\) | −0.333360 | + | 8.04868i | −0.0177179 | + | 0.427782i | ||||
\(355\) | −1.95967 | + | 2.33545i | −0.104009 | + | 0.123953i | ||||
\(356\) | −4.03111 | + | 4.32439i | −0.213648 | + | 0.229192i | ||||
\(357\) | −25.3056 | − | 18.3027i | −1.33932 | − | 0.968680i | ||||
\(358\) | 26.2543 | − | 11.4185i | 1.38758 | − | 0.603486i | ||||
\(359\) | −12.8148 | − | 22.1959i | −0.676339 | − | 1.17145i | −0.976076 | − | 0.217431i | \(-0.930232\pi\) |
0.299737 | − | 0.954022i | \(-0.403101\pi\) | |||||||
\(360\) | 2.36192 | − | 3.89412i | 0.124484 | − | 0.205238i | ||||
\(361\) | −9.37693 | + | 16.2413i | −0.493523 | + | 0.854806i | ||||
\(362\) | −2.55803 | + | 22.4695i | −0.134447 | + | 1.18097i | ||||
\(363\) | 0.274882 | − | 0.566679i | 0.0144276 | − | 0.0297429i | ||||
\(364\) | −7.47298 | + | 32.3956i | −0.391691 | + | 1.69799i | ||||
\(365\) | −2.87707 | − | 7.90467i | −0.150592 | − | 0.413749i | ||||
\(366\) | −19.6375 | + | 21.5272i | −1.02647 | + | 1.12524i | ||||
\(367\) | 1.41593 | + | 8.03017i | 0.0739112 | + | 0.419171i | 0.999203 | + | 0.0399154i | \(0.0127089\pi\) |
−0.925292 | + | 0.379256i | \(0.876180\pi\) | |||||||
\(368\) | −29.9136 | − | 3.13317i | −1.55935 | − | 0.163328i | ||||
\(369\) | 6.36955 | + | 19.3205i | 0.331585 | + | 1.00579i | ||||
\(370\) | −4.67154 | + | 1.12198i | −0.242862 | + | 0.0583290i | ||||
\(371\) | −8.95223 | − | 10.6688i | −0.464777 | − | 0.553899i | ||||
\(372\) | 2.01995 | + | 5.22574i | 0.104729 | + | 0.270942i | ||||
\(373\) | −2.11412 | − | 0.372777i | −0.109465 | − | 0.0193017i | 0.118647 | − | 0.992936i | \(-0.462144\pi\) |
−0.228112 | + | 0.973635i | \(0.573255\pi\) | |||||||
\(374\) | 9.94369 | + | 15.0203i | 0.514176 | + | 0.776684i | ||||
\(375\) | −8.75595 | + | 2.20310i | −0.452155 | + | 0.113768i | ||||
\(376\) | 13.0352 | − | 4.87767i | 0.672239 | − | 0.251547i | ||||
\(377\) | 2.34593 | 0.120821 | ||||||||
\(378\) | 23.6203 | − | 24.3526i | 1.21490 | − | 1.25256i | ||||
\(379\) | − | 15.6848i | − | 0.805674i | −0.915272 | − | 0.402837i | \(-0.868024\pi\) | ||
0.915272 | − | 0.402837i | \(-0.131976\pi\) | |||||||
\(380\) | −0.320594 | − | 0.425283i | −0.0164461 | − | 0.0218166i | ||||
\(381\) | 0.785556 | + | 0.223429i | 0.0402453 | + | 0.0114466i | ||||
\(382\) | 6.00697 | − | 3.97670i | 0.307343 | − | 0.203466i | ||||
\(383\) | 0.108638 | − | 0.616115i | 0.00555113 | − | 0.0314820i | −0.981906 | − | 0.189367i | \(-0.939356\pi\) |
0.987458 | + | 0.157885i | \(0.0504675\pi\) | |||||||
\(384\) | −10.1924 | + | 16.7366i | −0.520128 | + | 0.854088i | ||||
\(385\) | −6.19090 | + | 5.19478i | −0.315517 | + | 0.264750i | ||||
\(386\) | 13.3228 | − | 3.19978i | 0.678111 | − | 0.162865i | ||||
\(387\) | 0.426367 | + | 2.94195i | 0.0216735 | + | 0.149548i | ||||
\(388\) | −6.74162 | + | 3.43655i | −0.342254 | + | 0.174464i | ||||
\(389\) | −9.02471 | + | 1.59130i | −0.457571 | + | 0.0806821i | −0.397683 | − | 0.917523i | \(-0.630186\pi\) |
−0.0598882 | + | 0.998205i | \(0.519074\pi\) | |||||||
\(390\) | −4.51164 | + | 1.43363i | −0.228456 | + | 0.0725945i | ||||
\(391\) | −27.5963 | + | 10.0442i | −1.39561 | + | 0.507959i | ||||
\(392\) | −19.9272 | + | 35.2433i | −1.00647 | + | 1.78006i | ||||
\(393\) | 1.72302 | + | 23.9020i | 0.0869146 | + | 1.20570i | ||||
\(394\) | −1.70902 | + | 15.0119i | −0.0860991 | + | 0.756286i | ||||
\(395\) | −3.54066 | − | 2.04420i | −0.178150 | − | 0.102855i | ||||
\(396\) | −17.6975 | + | 8.34915i | −0.889332 | + | 0.419561i | ||||
\(397\) | 1.59689 | − | 0.921968i | 0.0801459 | − | 0.0462722i | −0.459392 | − | 0.888234i | \(-0.651932\pi\) |
0.539537 | + | 0.841962i | \(0.318599\pi\) | |||||||
\(398\) | 3.01882 | + | 6.94111i | 0.151320 | + | 0.347927i | ||||
\(399\) | −1.62140 | − | 3.62076i | −0.0811715 | − | 0.181265i | ||||
\(400\) | 18.2861 | − | 4.56623i | 0.914306 | − | 0.228311i | ||||
\(401\) | −23.3364 | − | 19.5816i | −1.16537 | − | 0.977858i | −0.165401 | − | 0.986226i | \(-0.552892\pi\) |
−0.999965 | + | 0.00836797i | \(0.997336\pi\) | |||||||
\(402\) | 31.1456 | − | 16.3021i | 1.55340 | − | 0.813075i | ||||
\(403\) | 1.99171 | − | 5.47217i | 0.0992140 | − | 0.272588i | ||||
\(404\) | −11.8819 | + | 18.3037i | −0.591146 | + | 0.910643i | ||||
\(405\) | 4.69708 | + | 1.12832i | 0.233400 | + | 0.0560666i | ||||
\(406\) | 4.07881 | + | 1.20780i | 0.202428 | + | 0.0599421i | ||||
\(407\) | 19.3971 | + | 7.05998i | 0.961480 | + | 0.349950i | ||||
\(408\) | −1.78779 | + | 19.0497i | −0.0885088 | + | 0.943103i | ||||
\(409\) | −20.2699 | − | 17.0085i | −1.00228 | − | 0.841015i | −0.0149837 | − | 0.999888i | \(-0.504770\pi\) |
−0.987299 | + | 0.158873i | \(0.949214\pi\) | |||||||
\(410\) | 2.29633 | − | 4.60676i | 0.113408 | − | 0.227512i | ||||
\(411\) | 17.3339 | − | 7.76221i | 0.855016 | − | 0.382881i | ||||
\(412\) | 11.3414 | − | 1.39461i | 0.558749 | − | 0.0687077i | ||||
\(413\) | 13.1488 | − | 7.59147i | 0.647011 | − | 0.373552i | ||||
\(414\) | −6.49729 | − | 31.2331i | −0.319325 | − | 1.53502i | ||||
\(415\) | 4.09853 | − | 7.09887i | 0.201189 | − | 0.348470i | ||||
\(416\) | 19.4228 | − | 6.13358i | 0.952281 | − | 0.300724i | ||||
\(417\) | −0.195798 | − | 2.71615i | −0.00958828 | − | 0.133010i | ||||
\(418\) | 0.139899 | + | 2.28396i | 0.00684270 | + | 0.111712i | ||||
\(419\) | −10.2786 | − | 28.2402i | −0.502142 | − | 1.37962i | −0.889179 | − | 0.457560i | \(-0.848723\pi\) |
0.387036 | − | 0.922064i | \(-0.373499\pi\) | |||||||
\(420\) | −8.58240 | + | 0.169800i | −0.418778 | + | 0.00828537i | ||||
\(421\) | −26.1531 | + | 4.61150i | −1.27463 | + | 0.224751i | −0.769697 | − | 0.638410i | \(-0.779593\pi\) |
−0.504929 | + | 0.863161i | \(0.668481\pi\) | |||||||
\(422\) | −6.39763 | + | 6.07221i | −0.311432 | + | 0.295591i | ||||
\(423\) | 9.13841 | + | 11.5936i | 0.444325 | + | 0.563699i | ||||
\(424\) | −2.84602 | + | 8.04381i | −0.138215 | + | 0.390642i | ||||
\(425\) | 14.0974 | − | 11.8291i | 0.683823 | − | 0.573795i | ||||
\(426\) | 12.8659 | + | 5.29552i | 0.623356 | + | 0.256569i | ||||
\(427\) | 54.0851 | + | 9.53667i | 2.61736 | + | 0.461512i | ||||
\(428\) | 20.9840 | − | 6.41958i | 1.01430 | − | 0.310302i | ||||
\(429\) | 19.5634 | + | 5.56424i | 0.944530 | + | 0.268644i | ||||
\(430\) | 0.447349 | − | 0.604671i | 0.0215731 | − | 0.0291598i | ||||
\(431\) | 7.75377 | 0.373486 | 0.186743 | − | 0.982409i | \(-0.440207\pi\) | ||||
0.186743 | + | 0.982409i | \(0.440207\pi\) | |||||||
\(432\) | −20.2010 | − | 4.89087i | −0.971920 | − | 0.235312i | ||||
\(433\) | 4.34697 | 0.208902 | 0.104451 | − | 0.994530i | \(-0.466691\pi\) | ||||
0.104451 | + | 0.994530i | \(0.466691\pi\) | |||||||
\(434\) | 6.28029 | − | 8.48892i | 0.301463 | − | 0.407481i | ||||
\(435\) | 0.147797 | + | 0.587400i | 0.00708632 | + | 0.0281637i | ||||
\(436\) | −20.7534 | + | 6.34902i | −0.993906 | + | 0.304063i | ||||
\(437\) | −3.67384 | − | 0.647797i | −0.175744 | − | 0.0309883i | ||||
\(438\) | −30.4036 | + | 23.4378i | −1.45274 | + | 1.11990i | ||||
\(439\) | 25.7453 | − | 21.6028i | 1.22875 | − | 1.03105i | 0.230435 | − | 0.973088i | \(-0.425985\pi\) |
0.998319 | − | 0.0579596i | \(-0.0184595\pi\) | |||||||
\(440\) | 4.66764 | + | 1.65148i | 0.222521 | + | 0.0787313i | ||||
\(441\) | −42.0423 | − | 8.74768i | −2.00202 | − | 0.416556i | ||||
\(442\) | 14.4247 | − | 13.6910i | 0.686113 | − | 0.651214i | ||||
\(443\) | 4.51691 | − | 0.796453i | 0.214605 | − | 0.0378406i | −0.0653119 | − | 0.997865i | \(-0.520804\pi\) |
0.279917 | + | 0.960024i | \(0.409693\pi\) | |||||||
\(444\) | 11.3361 | + | 18.7673i | 0.537987 | + | 0.890657i | ||||
\(445\) | 0.542643 | + | 1.49090i | 0.0257237 | + | 0.0706754i | ||||
\(446\) | 0.376601 | + | 6.14830i | 0.0178326 | + | 0.291130i | ||||
\(447\) | 11.7099 | + | 5.68017i | 0.553858 | + | 0.268663i | ||||
\(448\) | 36.9279 | − | 0.664496i | 1.74468 | − | 0.0313945i | ||||
\(449\) | −16.9308 | + | 29.3250i | −0.799013 | + | 1.38393i | 0.121246 | + | 0.992622i | \(0.461311\pi\) |
−0.920259 | + | 0.391309i | \(0.872022\pi\) | |||||||
\(450\) | 10.5199 | + | 16.9991i | 0.495914 | + | 0.801344i | ||||
\(451\) | −19.1527 | + | 11.0578i | −0.901864 | + | 0.520691i | ||||
\(452\) | 6.74597 | − | 0.829531i | 0.317304 | − | 0.0390179i | ||||
\(453\) | 9.65789 | + | 6.98521i | 0.453767 | + | 0.328194i | ||||
\(454\) | −5.60714 | + | 11.2487i | −0.263156 | + | 0.527928i | ||||
\(455\) | 6.83496 | + | 5.73521i | 0.320428 | + | 0.268871i | ||||
\(456\) | −1.40661 | + | 1.98212i | −0.0658706 | + | 0.0928213i | ||||
\(457\) | −19.2943 | − | 7.02257i | −0.902551 | − | 0.328502i | −0.151277 | − | 0.988491i | \(-0.548338\pi\) |
−0.751275 | + | 0.659990i | \(0.770561\pi\) | |||||||
\(458\) | −21.6136 | − | 6.40011i | −1.00994 | − | 0.299058i | ||||
\(459\) | −19.8230 | + | 4.34727i | −0.925258 | + | 0.202913i | ||||
\(460\) | −4.39506 | + | 6.77046i | −0.204921 | + | 0.315674i | ||||
\(461\) | −3.85808 | + | 10.6000i | −0.179689 | + | 0.493690i | −0.996536 | − | 0.0831635i | \(-0.973498\pi\) |
0.816847 | + | 0.576854i | \(0.195720\pi\) | |||||||
\(462\) | 31.1497 | + | 19.7467i | 1.44922 | + | 0.918698i | ||||
\(463\) | 25.0603 | + | 21.0281i | 1.16465 | + | 0.977260i | 0.999959 | − | 0.00908483i | \(-0.00289183\pi\) |
0.164694 | + | 0.986345i | \(0.447336\pi\) | |||||||
\(464\) | −0.631388 | − | 2.52848i | −0.0293114 | − | 0.117382i | ||||
\(465\) | 1.49567 | + | 0.153952i | 0.0693599 | + | 0.00713934i | ||||
\(466\) | −5.96618 | − | 13.7179i | −0.276378 | − | 0.635470i | ||||
\(467\) | 11.9731 | − | 6.91266i | 0.554048 | − | 0.319880i | −0.196705 | − | 0.980463i | \(-0.563024\pi\) |
0.750753 | + | 0.660583i | \(0.229691\pi\) | |||||||
\(468\) | 12.4706 | + | 17.6411i | 0.576451 | + | 0.815462i | ||||
\(469\) | −57.3806 | − | 33.1287i | −2.64959 | − | 1.52974i | ||||
\(470\) | 0.422501 | − | 3.71121i | 0.0194885 | − | 0.171185i | ||||
\(471\) | −8.60967 | + | 5.83426i | −0.396713 | + | 0.268828i | ||||
\(472\) | −8.09709 | − | 4.57823i | −0.372699 | − | 0.210730i | ||||
\(473\) | −3.03676 | + | 1.10529i | −0.139630 | + | 0.0508213i | ||||
\(474\) | −3.99751 | + | 18.2246i | −0.183612 | + | 0.837083i | ||||
\(475\) | 2.30218 | − | 0.405936i | 0.105631 | − | 0.0186256i | ||||
\(476\) | 32.1287 | − | 16.3777i | 1.47262 | − | 0.750670i | ||||
\(477\) | −9.04579 | − | 0.276965i | −0.414178 | − | 0.0126813i | ||||
\(478\) | −33.5073 | + | 8.04758i | −1.53259 | + | 0.368088i | ||||
\(479\) | −9.80478 | + | 8.22719i | −0.447992 | + | 0.375910i | −0.838690 | − | 0.544609i | \(-0.816678\pi\) |
0.390698 | + | 0.920519i | \(0.372234\pi\) | |||||||
\(480\) | 2.75946 | + | 4.47688i | 0.125952 | + | 0.204341i | ||||
\(481\) | 3.95735 | − | 22.4432i | 0.180439 | − | 1.02332i | ||||
\(482\) | −14.2544 | + | 9.43663i | −0.649271 | + | 0.429827i | ||||
\(483\) | −43.1623 | + | 41.8610i | −1.96395 | + | 1.90474i | ||||
\(484\) | 0.437783 | + | 0.580740i | 0.0198992 | + | 0.0263973i | ||||
\(485\) | 2.03077i | 0.0922125i | ||||||||
\(486\) | −1.58417 | − | 21.9884i | −0.0718596 | − | 0.997415i | ||||
\(487\) | −36.3512 | −1.64723 | −0.823614 | − | 0.567150i | \(-0.808046\pi\) | ||||
−0.823614 | + | 0.567150i | \(0.808046\pi\) | |||||||
\(488\) | −11.7917 | − | 31.5123i | −0.533783 | − | 1.42650i | ||||
\(489\) | −28.0736 | − | 28.9464i | −1.26953 | − | 1.30900i | ||||
\(490\) | 5.99791 | + | 9.06008i | 0.270958 | + | 0.409293i | ||||
\(491\) | 33.3296 | + | 5.87690i | 1.50414 | + | 0.265221i | 0.864179 | − | 0.503184i | \(-0.167838\pi\) |
0.639964 | + | 0.768405i | \(0.278949\pi\) | |||||||
\(492\) | −23.2098 | − | 3.62069i | −1.04638 | − | 0.163233i | ||||
\(493\) | −1.63565 | − | 1.94929i | −0.0736659 | − | 0.0877917i | ||||
\(494\) | 2.45644 | − | 0.589974i | 0.110521 | − | 0.0265442i | ||||
\(495\) | −0.160716 | + | 5.24907i | −0.00722366 | + | 0.235928i | ||||
\(496\) | −6.43406 | − | 0.673909i | −0.288898 | − | 0.0302594i | ||||
\(497\) | −4.55359 | − | 25.8247i | −0.204256 | − | 1.15840i | ||||
\(498\) | −36.5395 | − | 8.01482i | −1.63737 | − | 0.359153i | ||||
\(499\) | 5.51889 | + | 15.1630i | 0.247059 | + | 0.678790i | 0.999791 | + | 0.0204623i | \(0.00651380\pi\) |
−0.752731 | + | 0.658328i | \(0.771264\pi\) | |||||||
\(500\) | 2.34343 | − | 10.1588i | 0.104801 | − | 0.454317i | ||||
\(501\) | 20.3640 | + | 30.0514i | 0.909797 | + | 1.34260i | ||||
\(502\) | −3.39788 | + | 29.8467i | −0.151655 | + | 1.33212i | ||||
\(503\) | −6.56294 | + | 11.3673i | −0.292627 | + | 0.506845i | −0.974430 | − | 0.224691i | \(-0.927863\pi\) |
0.681803 | + | 0.731536i | \(0.261196\pi\) | |||||||
\(504\) | 12.5997 | + | 37.0928i | 0.561237 | + | 1.65224i | ||||
\(505\) | 2.92823 | + | 5.07184i | 0.130304 | + | 0.225694i | ||||
\(506\) | 31.8032 | − | 13.8318i | 1.41382 | − | 0.614899i | ||||
\(507\) | −0.00628419 | + | 0.0610519i | −0.000279091 | + | 0.00271141i | ||||
\(508\) | −0.643040 | + | 0.689824i | −0.0285303 | + | 0.0306060i | ||||
\(509\) | −8.94755 | + | 10.6633i | −0.396593 | + | 0.472641i | −0.926978 | − | 0.375116i | \(-0.877603\pi\) |
0.530385 | + | 0.847757i | \(0.322047\pi\) | |||||||
\(510\) | 4.33689 | + | 2.74927i | 0.192041 | + | 0.121740i | ||||
\(511\) | 67.9909 | + | 24.7467i | 3.00774 | + | 1.09473i | ||||
\(512\) | −11.8384 | − | 19.2835i | −0.523188 | − | 0.852217i | ||||
\(513\) | −2.45685 | − | 0.780804i | −0.108473 | − | 0.0344733i | ||||
\(514\) | −3.18962 | + | 10.7715i | −0.140688 | + | 0.475112i | ||||
\(515\) | 1.04885 | − | 2.88169i | 0.0462179 | − | 0.126983i | ||||
\(516\) | −3.24815 | − | 1.10997i | −0.142992 | − | 0.0488638i | ||||
\(517\) | −10.3156 | + | 12.2936i | −0.453678 | + | 0.540673i | ||||
\(518\) | 18.4355 | − | 36.9841i | 0.810008 | − | 1.62499i | ||||
\(519\) | 6.25856 | − | 8.65321i | 0.274720 | − | 0.379834i | ||||
\(520\) | 0.900743 | − | 5.39156i | 0.0395002 | − | 0.236435i | ||||
\(521\) | 17.1853 | + | 29.7658i | 0.752902 | + | 1.30406i | 0.946411 | + | 0.322966i | \(0.104680\pi\) |
−0.193509 | + | 0.981099i | \(0.561987\pi\) | |||||||
\(522\) | 2.35052 | − | 1.45462i | 0.102879 | − | 0.0636672i | ||||
\(523\) | 21.9893 | + | 12.6955i | 0.961523 | + | 0.555136i | 0.896642 | − | 0.442757i | \(-0.146000\pi\) |
0.0648818 | + | 0.997893i | \(0.479333\pi\) | |||||||
\(524\) | −25.4735 | − | 10.8074i | −1.11281 | − | 0.472125i | ||||
\(525\) | 16.4443 | − | 33.9005i | 0.717688 | − | 1.47954i | ||||
\(526\) | −0.171395 | − | 2.79815i | −0.00747316 | − | 0.122005i | ||||
\(527\) | −5.93565 | + | 2.16040i | −0.258561 | + | 0.0941084i | ||||
\(528\) | 0.731915 | − | 22.5834i | 0.0318525 | − | 0.982816i | ||||
\(529\) | 5.82416 | + | 33.0305i | 0.253224 | + | 1.43611i | ||||
\(530\) | 1.57639 | + | 1.66087i | 0.0684742 | + | 0.0721438i | ||||
\(531\) | 2.00977 | − | 9.65916i | 0.0872164 | − | 0.419172i | ||||
\(532\) | 4.57472 | + | 0.238926i | 0.198339 | + | 0.0103588i | ||||
\(533\) | 15.6945 | + | 18.7040i | 0.679806 | + | 0.810161i | ||||
\(534\) | 5.73441 | − | 4.42060i | 0.248152 | − | 0.191298i | ||||
\(535\) | 1.02264 | − | 5.79970i | 0.0442127 | − | 0.250743i | ||||
\(536\) | 0.365174 | + | 40.5907i | 0.0157731 | + | 1.75325i | ||||
\(537\) | −34.0044 | + | 8.55592i | −1.46740 | + | 0.369215i | ||||
\(538\) | −12.3289 | − | 9.12119i | −0.531536 | − | 0.393242i | ||||
\(539\) | − | 46.6837i | − | 2.01081i | ||||||
\(540\) | −3.63153 | + | 4.23394i | −0.156276 | + | 0.182200i | ||||
\(541\) | − | 16.9320i | − | 0.727966i | −0.931406 | − | 0.363983i | \(-0.881417\pi\) | ||
0.931406 | − | 0.363983i | \(-0.118583\pi\) | |||||||
\(542\) | 8.47259 | − | 11.4522i | 0.363929 | − | 0.491914i | ||||
\(543\) | 7.57714 | − | 26.6406i | 0.325166 | − | 1.14326i | ||||
\(544\) | −18.6387 | − | 11.8624i | −0.799128 | − | 0.508596i | ||||
\(545\) | −1.01140 | + | 5.73595i | −0.0433238 | + | 0.245701i | ||||
\(546\) | 15.4980 | − | 37.6536i | 0.663251 | − | 1.61143i | ||||
\(547\) | −13.5017 | − | 16.0907i | −0.577292 | − | 0.687990i | 0.395819 | − | 0.918329i | \(-0.370461\pi\) |
−0.973110 | + | 0.230339i | \(0.926016\pi\) | |||||||
\(548\) | −1.14382 | + | 21.9008i | −0.0488618 | + | 0.935555i | ||||
\(549\) | 28.0272 | − | 22.0919i | 1.19617 | − | 0.942860i | ||||
\(550\) | −15.7628 | + | 14.9610i | −0.672128 | + | 0.637941i | ||||
\(551\) | −0.0561302 | − | 0.318330i | −0.00239123 | − | 0.0135613i | ||||
\(552\) | 35.5209 | + | 9.75836i | 1.51187 | + | 0.415343i | ||||
\(553\) | 33.0451 | − | 12.0274i | 1.40522 | − | 0.511458i | ||||
\(554\) | 33.4393 | − | 2.04825i | 1.42070 | − | 0.0870218i | ||||
\(555\) | 5.86892 | − | 0.423071i | 0.249122 | − | 0.0179583i | ||||
\(556\) | 2.89473 | + | 1.22813i | 0.122764 | + | 0.0520841i | ||||
\(557\) | 37.8230 | + | 21.8371i | 1.60261 | + | 0.925268i | 0.990962 | + | 0.134140i | \(0.0428271\pi\) |
0.611650 | + | 0.791129i | \(0.290506\pi\) | |||||||
\(558\) | −1.39749 | − | 6.71787i | −0.0591605 | − | 0.284390i | ||||
\(559\) | 1.78393 | + | 3.08985i | 0.0754521 | + | 0.130687i | ||||
\(560\) | 4.34195 | − | 8.91044i | 0.183481 | − | 0.376535i | ||||
\(561\) | −9.01672 | − | 20.1353i | −0.380686 | − | 0.850113i | ||||
\(562\) | −21.5935 | − | 10.7637i | −0.910866 | − | 0.454039i | ||||
\(563\) | 7.03271 | − | 8.38125i | 0.296393 | − | 0.353228i | −0.597210 | − | 0.802085i | \(-0.703724\pi\) |
0.893604 | + | 0.448857i | \(0.148169\pi\) | |||||||
\(564\) | −16.7251 | + | 3.29147i | −0.704253 | + | 0.138596i | ||||
\(565\) | 0.623868 | − | 1.71406i | 0.0262463 | − | 0.0721112i | ||||
\(566\) | 6.82433 | + | 2.02079i | 0.286848 | + | 0.0849402i | ||||
\(567\) | −33.4040 | + | 24.7109i | −1.40284 | + | 1.03776i | ||||
\(568\) | −12.2135 | + | 10.4370i | −0.512466 | + | 0.437926i | ||||
\(569\) | 26.7673 | + | 9.74248i | 1.12214 | + | 0.408426i | 0.835433 | − | 0.549592i | \(-0.185217\pi\) |
0.286708 | + | 0.958018i | \(0.407439\pi\) | |||||||
\(570\) | 0.302484 | + | 0.577904i | 0.0126697 | + | 0.0242057i | ||||
\(571\) | 1.75375 | − | 2.09003i | 0.0733920 | − | 0.0874652i | −0.728099 | − | 0.685472i | \(-0.759596\pi\) |
0.801491 | + | 0.598007i | \(0.204040\pi\) | |||||||
\(572\) | −16.0142 | + | 17.1793i | −0.669587 | + | 0.718303i | ||||
\(573\) | −8.05255 | + | 3.60598i | −0.336400 | + | 0.150642i | ||||
\(574\) | 17.6580 | + | 40.6006i | 0.737030 | + | 1.69464i | ||||
\(575\) | −17.7151 | − | 30.6835i | −0.738772 | − | 1.27959i | ||||
\(576\) | 15.6576 | − | 18.1890i | 0.652401 | − | 0.757874i | ||||
\(577\) | −6.17552 | + | 10.6963i | −0.257090 | + | 0.445293i | −0.965461 | − | 0.260547i | \(-0.916097\pi\) |
0.708371 | + | 0.705840i | \(0.249430\pi\) | |||||||
\(578\) | 2.45380 | + | 0.279351i | 0.102064 | + | 0.0116195i | ||||
\(579\) | −16.7376 | + | 1.20656i | −0.695590 | + | 0.0501428i | ||||
\(580\) | −0.681514 | − | 0.157211i | −0.0282983 | − | 0.00652783i | ||||
\(581\) | 24.1145 | + | 66.2539i | 1.00044 | + | 2.74868i | ||||
\(582\) | 8.83243 | − | 2.80661i | 0.366116 | − | 0.116338i | ||||
\(583\) | −1.70842 | − | 9.68895i | −0.0707557 | − | 0.401275i | ||||
\(584\) | −8.08983 | − | 43.5832i | −0.334760 | − | 1.80349i | ||||
\(585\) | 5.73792 | − | 0.831577i | 0.237234 | − | 0.0343815i | ||||
\(586\) | 6.00792 | + | 25.0149i | 0.248185 | + | 1.03336i | ||||
\(587\) | 5.44737 | + | 6.49192i | 0.224837 | + | 0.267950i | 0.866656 | − | 0.498906i | \(-0.166265\pi\) |
−0.641819 | + | 0.766856i | \(0.721820\pi\) | |||||||
\(588\) | 31.1157 | − | 38.6081i | 1.28319 | − | 1.59217i | ||||
\(589\) | −0.790200 | − | 0.139334i | −0.0325596 | − | 0.00574114i | ||||
\(590\) | −2.08154 | + | 1.37801i | −0.0856956 | + | 0.0567318i | ||||
\(591\) | 5.06228 | − | 17.7985i | 0.208234 | − | 0.732134i | ||||
\(592\) | −25.2548 | + | 1.77511i | −1.03797 | + | 0.0729567i | ||||
\(593\) | 14.9671 | 0.614625 | 0.307312 | − | 0.951609i | \(-0.400570\pi\) | ||||
0.307312 | + | 0.951609i | \(0.400570\pi\) | |||||||
\(594\) | 23.0519 | − | 6.55543i | 0.945831 | − | 0.268973i | ||||
\(595\) | − | 9.67811i | − | 0.396764i | ||||||
\(596\) | −12.0004 | + | 9.04637i | −0.491558 | + | 0.370554i | ||||
\(597\) | −2.26201 | − | 8.99010i | −0.0925781 | − | 0.367940i | ||||
\(598\) | −21.1359 | − | 31.9266i | −0.864311 | − | 1.30558i | ||||
\(599\) | −2.34457 | + | 13.2967i | −0.0957965 | + | 0.543289i | 0.898704 | + | 0.438556i | \(0.144510\pi\) |
−0.994500 | + | 0.104733i | \(0.966601\pi\) | |||||||
\(600\) | −23.0079 | + | 1.86677i | −0.939294 | + | 0.0762104i | ||||
\(601\) | −7.15855 | + | 6.00673i | −0.292003 | + | 0.245020i | −0.777007 | − | 0.629493i | \(-0.783263\pi\) |
0.485003 | + | 0.874512i | \(0.338818\pi\) | |||||||
\(602\) | 1.51087 | + | 6.29072i | 0.0615783 | + | 0.256391i | ||||
\(603\) | −40.8899 | + | 13.4805i | −1.66517 | + | 0.548969i | ||||
\(604\) | −12.2619 | + | 6.25054i | −0.498931 | + | 0.254331i | ||||
\(605\) | 0.192212 | − | 0.0338922i | 0.00781455 | − | 0.00137792i | ||||
\(606\) | 18.0120 | − | 19.7452i | 0.731688 | − | 0.802095i | ||||
\(607\) | 13.4916 | − | 4.91054i | 0.547607 | − | 0.199313i | −0.0533761 | − | 0.998574i | \(-0.516998\pi\) |
0.600983 | + | 0.799262i | \(0.294776\pi\) | |||||||
\(608\) | −1.29702 | − | 2.48882i | −0.0526010 | − | 0.100935i | ||||
\(609\) | −4.68754 | − | 2.27381i | −0.189949 | − | 0.0921394i | ||||
\(610\) | −8.97177 | − | 1.02139i | −0.363256 | − | 0.0413548i | ||||
\(611\) | 15.3440 | + | 8.85886i | 0.620752 | + | 0.358391i | ||||
\(612\) | 5.96364 | − | 22.6620i | 0.241066 | − | 0.916059i | ||||
\(613\) | 28.4032 | − | 16.3986i | 1.14719 | − | 0.662333i | 0.198993 | − | 0.980001i | \(-0.436233\pi\) |
0.948202 | + | 0.317668i | \(0.102900\pi\) | |||||||
\(614\) | −6.08195 | + | 2.64516i | −0.245448 | + | 0.106750i | ||||
\(615\) | −3.69455 | + | 5.10816i | −0.148979 | + | 0.205981i | ||||
\(616\) | −36.6883 | + | 21.6244i | −1.47822 | + | 0.871272i | ||||
\(617\) | 14.6067 | + | 12.2565i | 0.588045 | + | 0.493428i | 0.887578 | − | 0.460658i | \(-0.152386\pi\) |
−0.299533 | + | 0.954086i | \(0.596831\pi\) | |||||||
\(618\) | −13.9829 | − | 0.579144i | −0.562475 | − | 0.0232966i | ||||
\(619\) | −11.9921 | + | 32.9481i | −0.482004 | + | 1.32430i | 0.425768 | + | 0.904832i | \(0.360004\pi\) |
−0.907772 | + | 0.419464i | \(0.862218\pi\) | |||||||
\(620\) | −0.945325 | + | 1.45625i | −0.0379652 | + | 0.0584842i | ||||
\(621\) | 1.61529 | + | 39.0381i | 0.0648193 | + | 1.56654i | ||||
\(622\) | 10.1777 | − | 34.3707i | 0.408088 | − | 1.37814i | ||||
\(623\) | −12.8238 | − | 4.66747i | −0.513773 | − | 0.186998i | ||||
\(624\) | −24.6944 | + | 3.53376i | −0.988566 | + | 0.141464i | ||||
\(625\) | 15.9043 | + | 13.3453i | 0.636172 | + | 0.533811i | ||||
\(626\) | −6.54996 | − | 3.26495i | −0.261789 | − | 0.130494i | ||||
\(627\) | 0.286952 | − | 2.78779i | 0.0114598 | − | 0.111333i | ||||
\(628\) | −1.46569 | − | 11.9194i | −0.0584874 | − | 0.475635i | ||||
\(629\) | −21.4078 | + | 12.3598i | −0.853587 | + | 0.492819i | ||||
\(630\) | 10.4045 | + | 1.50833i | 0.414527 | + | 0.0600931i | ||||
\(631\) | 20.4300 | − | 35.3858i | 0.813306 | − | 1.40869i | −0.0972326 | − | 0.995262i | \(-0.530999\pi\) |
0.910538 | − | 0.413425i | \(-0.135668\pi\) | |||||||
\(632\) | −16.6278 | − | 13.6993i | −0.661417 | − | 0.544931i | ||||
\(633\) | 8.94299 | − | 6.06013i | 0.355452 | − | 0.240868i | ||||
\(634\) | −17.8043 | + | 1.09057i | −0.707101 | + | 0.0433119i | ||||
\(635\) | 0.0865621 | + | 0.237827i | 0.00343511 | + | 0.00943790i | ||||
\(636\) | 5.04500 | − | 9.15161i | 0.200047 | − | 0.362885i | ||||
\(637\) | −50.7573 | + | 8.94989i | −2.01108 | + | 0.354608i | ||||
\(638\) | 2.06871 | + | 2.17958i | 0.0819011 | + | 0.0862902i | ||||
\(639\) | −14.4894 | − | 8.96764i | −0.573193 | − | 0.354754i | ||||
\(640\) | −6.05355 | + | 0.480257i | −0.239288 | + | 0.0189838i | ||||
\(641\) | 14.9231 | − | 12.5220i | 0.589427 | − | 0.494588i | −0.298601 | − | 0.954378i | \(-0.596520\pi\) |
0.888027 | + | 0.459790i | \(0.152075\pi\) | |||||||
\(642\) | −26.6380 | + | 3.56765i | −1.05132 | + | 0.140804i | ||||
\(643\) | −16.5399 | − | 2.91644i | −0.652271 | − | 0.115013i | −0.162286 | − | 0.986744i | \(-0.551887\pi\) |
−0.489985 | + | 0.871731i | \(0.662998\pi\) | |||||||
\(644\) | −20.3111 | − | 66.3919i | −0.800370 | − | 2.61621i | ||||
\(645\) | −0.661284 | + | 0.641346i | −0.0260380 | + | 0.0252530i | ||||
\(646\) | −2.20293 | − | 1.62978i | −0.0866732 | − | 0.0641227i | ||||
\(647\) | 10.1590 | 0.399390 | 0.199695 | − | 0.979858i | \(-0.436005\pi\) | ||||
0.199695 | + | 0.979858i | \(0.436005\pi\) | |||||||
\(648\) | 23.4336 | + | 9.94313i | 0.920559 | + | 0.390603i | ||||
\(649\) | 10.7255 | 0.421013 | ||||||||
\(650\) | 19.2885 | + | 14.2700i | 0.756557 | + | 0.559717i | ||||
\(651\) | −9.28370 | + | 9.00380i | −0.363857 | + | 0.352887i | ||||
\(652\) | 44.5251 | − | 13.6214i | 1.74374 | − | 0.533457i | ||||
\(653\) | −19.0284 | − | 3.35522i | −0.744640 | − | 0.131300i | −0.211560 | − | 0.977365i | \(-0.567854\pi\) |
−0.533080 | + | 0.846065i | \(0.678965\pi\) | |||||||
\(654\) | 26.3452 | − | 3.52843i | 1.03018 | − | 0.137973i | ||||
\(655\) | −5.68880 | + | 4.77347i | −0.222280 | + | 0.186515i | ||||
\(656\) | 15.9355 | − | 21.9499i | 0.622177 | − | 0.857000i | ||||
\(657\) | 41.4180 | − | 22.2512i | 1.61587 | − | 0.868101i | ||||
\(658\) | 22.1173 | + | 23.3026i | 0.862222 | + | 0.908429i | ||||
\(659\) | 8.13980 | − | 1.43527i | 0.317082 | − | 0.0559101i | −0.0128424 | − | 0.999918i | \(-0.504088\pi\) |
0.329924 | + | 0.944007i | \(0.392977\pi\) | |||||||
\(660\) | −5.31048 | − | 2.92750i | −0.206710 | − | 0.113953i | ||||
\(661\) | −3.58357 | − | 9.84578i | −0.139385 | − | 0.382957i | 0.850285 | − | 0.526323i | \(-0.176430\pi\) |
−0.989670 | + | 0.143366i | \(0.954207\pi\) | |||||||
\(662\) | −18.5625 | + | 1.13701i | −0.721454 | + | 0.0441911i | ||||
\(663\) | −20.1637 | + | 13.6637i | −0.783093 | + | 0.530655i | ||||
\(664\) | 27.4666 | − | 33.3379i | 1.06591 | − | 1.29376i | ||||
\(665\) | 0.614701 | − | 1.06469i | 0.0238371 | − | 0.0412870i | ||||
\(666\) | −9.95115 | − | 24.9410i | −0.385599 | − | 0.966443i | ||||
\(667\) | −4.24271 | + | 2.44953i | −0.164279 | + | 0.0948463i | ||||
\(668\) | −41.6037 | + | 5.11588i | −1.60969 | + | 0.197939i | ||||
\(669\) | 0.772459 | − | 7.50456i | 0.0298650 | − | 0.290143i | ||||
\(670\) | 9.74974 | + | 4.85995i | 0.376665 | + | 0.187756i | ||||
\(671\) | 29.7195 | + | 24.9377i | 1.14731 | + | 0.962707i | ||||
\(672\) | −44.7549 | − | 6.56983i | −1.72646 | − | 0.253437i | ||||
\(673\) | 1.15505 | + | 0.420402i | 0.0445238 | + | 0.0162053i | 0.364186 | − | 0.931326i | \(-0.381347\pi\) |
−0.319662 | + | 0.947532i | \(0.603569\pi\) | |||||||
\(674\) | −5.28324 | + | 17.8418i | −0.203503 | + | 0.687240i | ||||
\(675\) | −9.31795 | − | 22.6414i | −0.358648 | − | 0.871466i | ||||
\(676\) | −0.0594428 | − | 0.0385874i | −0.00228626 | − | 0.00148413i | ||||
\(677\) | 15.0146 | − | 41.2524i | 0.577059 | − | 1.58546i | −0.216053 | − | 0.976382i | \(-0.569318\pi\) |
0.793112 | − | 0.609076i | \(-0.208459\pi\) | |||||||
\(678\) | −8.31719 | − | 0.344481i | −0.319420 | − | 0.0132297i | ||||
\(679\) | −13.3808 | − | 11.2278i | −0.513508 | − | 0.430884i | ||||
\(680\) | −5.10801 | + | 3.01070i | −0.195883 | + | 0.115455i | ||||
\(681\) | 9.02129 | − | 12.4730i | 0.345697 | − | 0.477967i | ||||
\(682\) | 6.84049 | − | 2.97506i | 0.261936 | − | 0.113921i | ||||
\(683\) | −13.7607 | + | 7.94474i | −0.526539 | + | 0.303997i | −0.739606 | − | 0.673040i | \(-0.764988\pi\) |
0.213067 | + | 0.977038i | \(0.431655\pi\) | |||||||
\(684\) | 2.09543 | − | 2.11428i | 0.0801209 | − | 0.0808416i | ||||
\(685\) | 5.09706 | + | 2.94279i | 0.194749 | + | 0.112438i | ||||
\(686\) | −47.4486 | − | 5.40176i | −1.81160 | − | 0.206240i | ||||
\(687\) | 24.8392 | + | 12.0489i | 0.947674 | + | 0.459693i | ||||
\(688\) | 2.85018 | − | 2.75436i | 0.108662 | − | 0.105009i | ||||
\(689\) | −10.2069 | + | 3.71500i | −0.388852 | + | 0.141530i | ||||
\(690\) | 6.66256 | − | 7.30367i | 0.253639 | − | 0.278046i | ||||
\(691\) | 40.8059 | − | 7.19518i | 1.55233 | − | 0.273717i | 0.669284 | − | 0.743007i | \(-0.266601\pi\) |
0.883045 | + | 0.469289i | \(0.155490\pi\) | |||||||
\(692\) | 5.60031 | + | 10.9863i | 0.212892 | + | 0.417638i | ||||
\(693\) | −33.6977 | − | 30.0803i | −1.28007 | − | 1.14265i | ||||
\(694\) | 7.48167 | + | 31.1511i | 0.284000 | + | 1.18248i | ||||
\(695\) | 0.646458 | − | 0.542443i | 0.0245216 | − | 0.0205760i | ||||
\(696\) | 0.258124 | + | 3.18138i | 0.00978417 | + | 0.120590i | ||||
\(697\) | 4.59896 | − | 26.0820i | 0.174198 | − | 0.987926i | ||||
\(698\) | −22.6751 | − | 34.2516i | −0.858265 | − | 1.29644i | ||||
\(699\) | 4.47048 | + | 17.7674i | 0.169089 | + | 0.672024i | ||||
\(700\) | 26.1896 | + | 34.7417i | 0.989872 | + | 1.31311i | ||||
\(701\) | 4.82376i | 0.182191i | 0.995842 | + | 0.0910955i | \(0.0290368\pi\) | ||||
−0.995842 | + | 0.0910955i | \(0.970963\pi\) | |||||||
\(702\) | −11.5468 | − | 23.8067i | −0.435807 | − | 0.898525i | ||||
\(703\) | −3.14012 | −0.118432 | ||||||||
\(704\) | 22.8263 | + | 12.6367i | 0.860299 | + | 0.476265i | ||||
\(705\) | −1.25149 | + | 4.40013i | −0.0471338 | + | 0.165719i | ||||
\(706\) | −7.86939 | + | 5.20965i | −0.296168 | + | 0.196068i | ||||
\(707\) | −49.6082 | − | 8.74726i | −1.86571 | − | 0.328975i | ||||
\(708\) | 8.87016 | + | 7.14877i | 0.333361 | + | 0.268667i | ||||
\(709\) | 5.87727 | + | 7.00426i | 0.220726 | + | 0.263051i | 0.865032 | − | 0.501717i | \(-0.167298\pi\) |
−0.644306 | + | 0.764768i | \(0.722854\pi\) | |||||||
\(710\) | 1.00688 | + | 4.19231i | 0.0377877 | + | 0.157335i | ||||
\(711\) | 8.46904 | − | 21.2238i | 0.317614 | − | 0.795954i | ||||
\(712\) | 1.52582 | + | 8.22023i | 0.0571826 | + | 0.308066i | ||||
\(713\) | 2.11175 | + | 11.9763i | 0.0790857 | + | 0.448517i | ||||
\(714\) | −42.0930 | + | 13.3756i | −1.57529 | + | 0.500568i | ||||
\(715\) | 2.15573 | + | 5.92283i | 0.0806199 | + | 0.221501i | ||||
\(716\) | 9.10090 | − | 39.4527i | 0.340117 | − | 1.47442i | ||||
\(717\) | 42.0957 | − | 3.03454i | 1.57209 | − | 0.113327i | ||||
\(718\) | −36.0131 | − | 4.09989i | −1.34400 | − | 0.153007i | ||||
\(719\) | −12.3655 | + | 21.4178i | −0.461157 | + | 0.798747i | −0.999019 | − | 0.0442856i | \(-0.985899\pi\) |
0.537862 | + | 0.843033i | \(0.319232\pi\) | |||||||
\(720\) | −2.44061 | − | 5.96063i | −0.0909560 | − | 0.222140i | ||||
\(721\) | 13.1886 | + | 22.8433i | 0.491170 | + | 0.850731i | ||||
\(722\) | 10.5778 | + | 24.3213i | 0.393665 | + | 0.905144i | ||||
\(723\) | 19.1085 | − | 8.55693i | 0.710655 | − | 0.318236i | ||||
\(724\) | 23.3940 | + | 21.8074i | 0.869432 | + | 0.810467i | ||||
\(725\) | 1.97333 | − | 2.35172i | 0.0732875 | − | 0.0873407i | ||||
\(726\) | −0.413053 | − | 0.789149i | −0.0153298 | − | 0.0292881i | ||||
\(727\) | −21.2835 | − | 7.74655i | −0.789360 | − | 0.287304i | −0.0842902 | − | 0.996441i | \(-0.526862\pi\) |
−0.705070 | + | 0.709138i | \(0.749084\pi\) | |||||||
\(728\) | 30.5450 | + | 35.7441i | 1.13207 | + | 1.32476i | ||||
\(729\) | −2.47581 | + | 26.8862i | −0.0916965 | + | 0.995787i | ||||
\(730\) | −11.4067 | − | 3.37772i | −0.422182 | − | 0.125015i | ||||
\(731\) | 1.32363 | − | 3.63665i | 0.0489563 | − | 0.134506i | ||||
\(732\) | 7.95705 | + | 40.4325i | 0.294101 | + | 1.49443i | ||||
\(733\) | −14.8278 | + | 17.6710i | −0.547676 | + | 0.652695i | −0.966890 | − | 0.255192i | \(-0.917861\pi\) |
0.419214 | + | 0.907887i | \(0.362306\pi\) | |||||||
\(734\) | 10.3205 | + | 5.14443i | 0.380935 | + | 0.189884i | ||||
\(735\) | −5.43877 | − | 12.1454i | −0.200612 | − | 0.447988i | ||||
\(736\) | −28.7226 | + | 31.3735i | −1.05873 | + | 1.15644i | ||||
\(737\) | −23.4027 | − | 40.5347i | −0.862050 | − | 1.49311i | ||||
\(738\) | 27.3230 | + | 9.00901i | 1.00577 | + | 0.331626i | ||||
\(739\) | 37.0237 | + | 21.3756i | 1.36194 | + | 0.786316i | 0.989882 | − | 0.141894i | \(-0.0453192\pi\) |
0.372057 | + | 0.928210i | \(0.378653\pi\) | |||||||
\(740\) | −2.65367 | + | 6.25478i | −0.0975508 | + | 0.229930i | ||||
\(741\) | −3.08606 | + | 0.222464i | −0.113369 | + | 0.00817243i | ||||
\(742\) | −19.6592 | + | 1.20418i | −0.721711 | + | 0.0442069i | ||||
\(743\) | 16.9810 | − | 6.18057i | 0.622972 | − | 0.226743i | −0.0111976 | − | 0.999937i | \(-0.503564\pi\) |
0.634169 | + | 0.773194i | \(0.281342\pi\) | |||||||
\(744\) | 7.64013 | + | 2.09891i | 0.280101 | + | 0.0769497i | ||||
\(745\) | 0.700351 | + | 3.97189i | 0.0256589 | + | 0.145519i | ||||
\(746\) | −2.20201 | + | 2.09001i | −0.0806213 | + | 0.0765205i | ||||
\(747\) | 42.5527 | + | 16.9800i | 1.55692 | + | 0.621267i | ||||
\(748\) | 25.4403 | + | 1.32869i | 0.930191 | + | 0.0485816i | ||||
\(749\) | 32.5603 | + | 38.8039i | 1.18973 | + | 1.41786i | ||||
\(750\) | −4.85996 | + | 11.8077i | −0.177461 | + | 0.431156i | ||||
\(751\) | −7.28217 | + | 41.2992i | −0.265730 | + | 1.50703i | 0.501218 | + | 0.865321i | \(0.332885\pi\) |
−0.766948 | + | 0.641709i | \(0.778226\pi\) | |||||||
\(752\) | 5.41854 | − | 18.9224i | 0.197594 | − | 0.690027i | ||||
\(753\) | 10.0649 | − | 35.3872i | 0.366784 | − | 1.28958i | ||||
\(754\) | 1.97317 | − | 2.66708i | 0.0718585 | − | 0.0971295i | ||||
\(755\) | 3.69365i | 0.134426i | ||||||||
\(756\) | −7.81936 | − | 47.3370i | −0.284387 | − | 1.72163i | ||||
\(757\) | 16.7039i | 0.607113i | 0.952813 | + | 0.303557i | \(0.0981741\pi\) | ||||
−0.952813 | + | 0.303557i | \(0.901826\pi\) | |||||||
\(758\) | −17.8321 | − | 13.1926i | −0.647690 | − | 0.479175i | ||||
\(759\) | −41.1913 | + | 10.3642i | −1.49515 | + | 0.376197i | ||||
\(760\) | −0.753158 | + | 0.00677577i | −0.0273199 | + | 0.000245783i | ||||
\(761\) | 3.87296 | − | 21.9646i | 0.140395 | − | 0.796217i | −0.830556 | − | 0.556936i | \(-0.811977\pi\) |
0.970950 | − | 0.239282i | \(-0.0769119\pi\) | |||||||
\(762\) | 0.914751 | − | 0.705172i | 0.0331379 | − | 0.0255457i | ||||
\(763\) | −32.2024 | − | 38.3774i | −1.16581 | − | 1.38935i | ||||
\(764\) | 0.531371 | − | 10.1741i | 0.0192243 | − | 0.368088i | ||||
\(765\) | −4.69163 | − | 4.18799i | −0.169626 | − | 0.151417i | ||||
\(766\) | −0.609086 | − | 0.641728i | −0.0220072 | − | 0.0231866i | ||||
\(767\) | −2.05622 | − | 11.6614i | −0.0742459 | − | 0.421069i | ||||
\(768\) | 10.4551 | + | 25.6650i | 0.377264 | + | 0.926106i | ||||
\(769\) | 2.44160 | − | 0.888671i | 0.0880465 | − | 0.0320463i | −0.297621 | − | 0.954684i | \(-0.596193\pi\) |
0.385668 | + | 0.922638i | \(0.373971\pi\) | |||||||
\(770\) | 0.698759 | + | 11.4078i | 0.0251815 | + | 0.411108i | ||||
\(771\) | 6.00480 | − | 12.3791i | 0.216257 | − | 0.445823i | ||||
\(772\) | 7.56800 | − | 17.8380i | 0.272378 | − | 0.642004i | ||||
\(773\) | −42.1331 | − | 24.3256i | −1.51542 | − | 0.874929i | −0.999836 | − | 0.0180914i | \(-0.994241\pi\) |
−0.515586 | − | 0.856838i | \(-0.672426\pi\) | |||||||
\(774\) | 3.70333 | + | 1.98975i | 0.133113 | + | 0.0715202i | ||||
\(775\) | −3.81032 | − | 6.59966i | −0.136871 | − | 0.237067i | ||||
\(776\) | −1.76338 | + | 10.5550i | −0.0633018 | + | 0.378904i | ||||
\(777\) | −29.6607 | + | 41.0095i | −1.06407 | + | 1.47121i | ||||
\(778\) | −5.78157 | + | 11.5987i | −0.207279 | + | 0.415832i | ||||
\(779\) | 2.16252 | − | 2.57719i | 0.0774803 | − | 0.0923375i | ||||
\(780\) | −2.16487 | + | 6.33511i | −0.0775146 | + | 0.226833i | ||||
\(781\) | 6.33573 | − | 17.4073i | 0.226710 | − | 0.622882i | ||||
\(782\) | −11.7921 | + | 39.8225i | −0.421684 | + | 1.42405i | ||||
\(783\) | −3.13070 | + | 1.28842i | −0.111882 | + | 0.0460445i | ||||
\(784\) | 23.3073 | + | 52.2985i | 0.832404 | + | 1.86780i | ||||
\(785\) | −3.02856 | − | 1.10231i | −0.108094 | − | 0.0393430i | ||||
\(786\) | 28.6234 | + | 18.1452i | 1.02096 | + | 0.647217i | ||||
\(787\) | −3.32622 | + | 3.96404i | −0.118567 | + | 0.141303i | −0.822063 | − | 0.569397i | \(-0.807177\pi\) |
0.703496 | + | 0.710699i | \(0.251621\pi\) | |||||||
\(788\) | 15.6295 | + | 14.5695i | 0.556779 | + | 0.519018i | ||||
\(789\) | −0.351553 | + | 3.41540i | −0.0125156 | + | 0.121591i | ||||
\(790\) | −5.30212 | + | 2.30600i | −0.188641 | + | 0.0820437i | ||||
\(791\) | 7.84473 | + | 13.5875i | 0.278927 | + | 0.483115i | ||||
\(792\) | −5.39327 | + | 27.1428i | −0.191642 | + | 0.964477i | ||||
\(793\) | 21.4161 | − | 37.0938i | 0.760508 | − | 1.31724i | ||||
\(794\) | 0.294969 | − | 2.59098i | 0.0104681 | − | 0.0919505i | ||||
\(795\) | −1.57326 | − | 2.32167i | −0.0557976 | − | 0.0823411i | ||||
\(796\) | 10.4305 | + | 2.40610i | 0.369699 | + | 0.0852819i | ||||
\(797\) | −6.96026 | − | 19.1232i | −0.246545 | − | 0.677377i | −0.999807 | − | 0.0196562i | \(-0.993743\pi\) |
0.753262 | − | 0.657721i | \(-0.228479\pi\) | |||||||
\(798\) | −5.48021 | − | 1.20207i | −0.193997 | − | 0.0425527i | ||||
\(799\) | −3.33723 | − | 18.9264i | −0.118063 | − | 0.669568i | ||||
\(800\) | 10.1892 | − | 24.6302i | 0.360242 | − | 0.870808i | ||||
\(801\) | −7.81184 | + | 4.19679i | −0.276018 | + | 0.148286i | ||||
\(802\) | −41.8907 | + | 10.0611i | −1.47921 | + | 0.355268i | ||||
\(803\) | 32.8545 | + | 39.1544i | 1.15941 | + | 1.38173i | ||||
\(804\) | 7.66282 | − | 49.1212i | 0.270247 | − | 1.73237i | ||||
\(805\) | −18.3498 | − | 3.23557i | −0.646747 | − | 0.114039i | ||||
\(806\) | −4.54608 | − | 6.86704i | −0.160129 | − | 0.241881i | ||||
\(807\) | 13.0767 | + | 13.4832i | 0.460321 | + | 0.474631i | ||||
\(808\) | 10.8156 | + | 28.9039i | 0.380491 | + | 1.01683i | ||||
\(809\) | 2.34311 | 0.0823792 | 0.0411896 | − | 0.999151i | \(-0.486885\pi\) | ||||
0.0411896 | + | 0.999151i | \(0.486885\pi\) | |||||||
\(810\) | 5.23352 | − | 4.39109i | 0.183887 | − | 0.154287i | ||||
\(811\) | − | 19.7047i | − | 0.691926i | −0.938248 | − | 0.345963i | \(-0.887552\pi\) | ||
0.938248 | − | 0.345963i | \(-0.112448\pi\) | |||||||
\(812\) | 4.80386 | − | 3.62132i | 0.168582 | − | 0.127083i | ||||
\(813\) | −12.5244 | + | 12.1468i | −0.439251 | + | 0.426008i | ||||
\(814\) | 24.3415 | − | 16.1144i | 0.853169 | − | 0.564810i | ||||
\(815\) | 2.16990 | − | 12.3061i | 0.0760084 | − | 0.431065i | ||||
\(816\) | 20.1539 | + | 18.0554i | 0.705529 | + | 0.632064i | ||||
\(817\) | 0.376594 | − | 0.316000i | 0.0131753 | − | 0.0110554i | ||||
\(818\) | −36.3861 | + | 8.73898i | −1.27221 | + | 0.305551i | ||||
\(819\) | −26.2448 | + | 42.4049i | −0.917068 | + | 1.48175i | ||||
\(820\) | −3.30598 | − | 6.48546i | −0.115450 | − | 0.226482i | ||||
\(821\) | 20.1348 | − | 3.55031i | 0.702710 | − | 0.123907i | 0.189135 | − | 0.981951i | \(-0.439432\pi\) |
0.513576 | + | 0.858044i | \(0.328321\pi\) | |||||||
\(822\) | 5.75472 | − | 26.2357i | 0.200719 | − | 0.915075i | ||||
\(823\) | 25.4915 | − | 9.27816i | 0.888579 | − | 0.323416i | 0.142913 | − | 0.989735i | \(-0.454353\pi\) |
0.745667 | + | 0.666319i | \(0.232131\pi\) | |||||||
\(824\) | 7.95373 | − | 14.0670i | 0.277081 | − | 0.490048i | ||||
\(825\) | 22.0342 | − | 14.9312i | 0.767132 | − | 0.519839i | ||||
\(826\) | 2.42877 | − | 21.3341i | 0.0845079 | − | 0.742309i | ||||
\(827\) | −22.8752 | − | 13.2070i | −0.795450 | − | 0.459253i | 0.0464278 | − | 0.998922i | \(-0.485216\pi\) |
−0.841878 | + | 0.539669i | \(0.818550\pi\) | |||||||
\(828\) | −40.9738 | − | 18.8835i | −1.42394 | − | 0.656247i | ||||
\(829\) | 33.7637 | − | 19.4935i | 1.17266 | − | 0.677037i | 0.218356 | − | 0.975869i | \(-0.429931\pi\) |
0.954306 | + | 0.298833i | \(0.0965972\pi\) | |||||||
\(830\) | −4.62342 | − | 10.6305i | −0.160481 | − | 0.368991i | ||||
\(831\) | −40.8157 | − | 4.20124i | −1.41588 | − | 0.145739i | ||||
\(832\) | 9.36333 | − | 27.2408i | 0.324615 | − | 0.944404i | ||||
\(833\) | 42.8262 | + | 35.9355i | 1.48384 | + | 1.24509i | ||||
\(834\) | −3.25268 | − | 2.06196i | −0.112631 | − | 0.0713999i | ||||
\(835\) | −3.84751 | + | 10.5710i | −0.133149 | + | 0.365823i | ||||
\(836\) | 2.71431 | + | 1.76200i | 0.0938764 | + | 0.0609401i | ||||
\(837\) | 0.347430 | + | 8.39663i | 0.0120089 | + | 0.290230i | ||||
\(838\) | −40.7517 | − | 12.0672i | −1.40774 | − | 0.416855i | ||||
\(839\) | −4.97178 | − | 1.80958i | −0.171645 | − | 0.0624736i | 0.254768 | − | 0.967002i | \(-0.418001\pi\) |
−0.426413 | + | 0.904529i | \(0.640223\pi\) | |||||||
\(840\) | −7.02564 | + | 9.90015i | −0.242408 | + | 0.341588i | ||||
\(841\) | 21.8901 | + | 18.3680i | 0.754831 | + | 0.633379i | ||||
\(842\) | −16.7547 | + | 33.6123i | −0.577405 | + | 1.15836i | ||||
\(843\) | 23.9437 | + | 17.3177i | 0.824666 | + | 0.596452i | ||||
\(844\) | 1.52243 | + | 12.3808i | 0.0524043 | + | 0.426166i | ||||
\(845\) | −0.0164712 | + | 0.00950966i | −0.000566627 | + | 0.000327142i | ||||
\(846\) | 20.8671 | − | 0.638062i | 0.717426 | − | 0.0219370i | ||||
\(847\) | −0.839397 | + | 1.45388i | −0.0288420 | + | 0.0499558i | ||||
\(848\) | 6.75121 | + | 10.0013i | 0.231838 | + | 0.343447i | ||||
\(849\) | −7.84280 | − | 3.80435i | −0.269164 | − | 0.130565i | ||||
\(850\) | −1.59115 | − | 25.9768i | −0.0545761 | − | 0.890997i | ||||
\(851\) | 16.2774 | + | 44.7217i | 0.557981 | + | 1.53304i | ||||
\(852\) | 16.8421 | − | 10.1732i | 0.577000 | − | 0.348528i | ||||
\(853\) | −1.23616 | + | 0.217968i | −0.0423252 | + | 0.00746308i | −0.194771 | − | 0.980849i | \(-0.562396\pi\) |
0.152445 | + | 0.988312i | \(0.451285\pi\) | |||||||
\(854\) | 56.3335 | − | 53.4681i | 1.92769 | − | 1.82964i | ||||
\(855\) | −0.250130 | − | 0.758709i | −0.00855426 | − | 0.0259473i | ||||
\(856\) | 10.3513 | − | 29.2563i | 0.353801 | − | 0.999959i | ||||
\(857\) | −27.5447 | + | 23.1128i | −0.940910 | + | 0.789517i | −0.977743 | − | 0.209804i | \(-0.932717\pi\) |
0.0368333 | + | 0.999321i | \(0.488273\pi\) | |||||||
\(858\) | 22.7809 | − | 17.5615i | 0.777726 | − | 0.599541i | ||||
\(859\) | −32.8367 | − | 5.79000i | −1.12037 | − | 0.197552i | −0.417369 | − | 0.908737i | \(-0.637048\pi\) |
−0.703005 | + | 0.711185i | \(0.748159\pi\) | |||||||
\(860\) | −0.311184 | − | 1.01718i | −0.0106113 | − | 0.0346856i | ||||
\(861\) | −13.2312 | − | 52.5857i | −0.450918 | − | 1.79212i | ||||
\(862\) | 6.52173 | − | 8.81526i | 0.222131 | − | 0.300249i | ||||
\(863\) | −42.4495 | −1.44500 | −0.722499 | − | 0.691372i | \(-0.757007\pi\) | ||||
−0.722499 | + | 0.691372i | \(0.757007\pi\) | |||||||
\(864\) | −22.5516 | + | 18.8528i | −0.767220 | + | 0.641385i | ||||
\(865\) | 3.30941 | 0.112523 | ||||||||
\(866\) | 3.65625 | − | 4.94207i | 0.124245 | − | 0.167939i | ||||
\(867\) | −2.90930 | − | 0.827467i | −0.0988050 | − | 0.0281022i | ||||
\(868\) | −4.36868 | − | 14.2801i | −0.148283 | − | 0.484699i | ||||
\(869\) | 24.4644 | + | 4.31373i | 0.829898 | + | 0.146333i | ||||
\(870\) | 0.792128 | + | 0.326034i | 0.0268557 | + | 0.0110536i | ||||
\(871\) | −39.5852 | + | 33.2159i | −1.34129 | + | 1.12548i | ||||
\(872\) | −10.2375 | + | 28.9347i | −0.346687 | + | 0.979853i | ||||
\(873\) | −11.2331 | + | 1.62798i | −0.380184 | + | 0.0550987i | ||||
\(874\) | −3.82656 | + | 3.63193i | −0.129435 | + | 0.122852i | ||||
\(875\) | 23.7006 | − | 4.17905i | 0.801225 | − | 0.141278i | ||||
\(876\) | 1.07390 | + | 54.2795i | 0.0362837 | + | 1.83393i | ||||
\(877\) | 10.6705 | + | 29.3171i | 0.360318 | + | 0.989967i | 0.978917 | + | 0.204259i | \(0.0654786\pi\) |
−0.618598 | + | 0.785707i | \(0.712299\pi\) | |||||||
\(878\) | −2.90584 | − | 47.4400i | −0.0980672 | − | 1.60102i | ||||
\(879\) | −2.26544 | − | 31.4266i | −0.0764113 | − | 1.05999i | ||||
\(880\) | 5.80355 | − | 3.91758i | 0.195637 | − | 0.132061i | ||||
\(881\) | −22.7011 | + | 39.3194i | −0.764819 | + | 1.32471i | 0.175523 | + | 0.984475i | \(0.443838\pi\) |
−0.940342 | + | 0.340230i | \(0.889495\pi\) | |||||||
\(882\) | −45.3072 | + | 40.4402i | −1.52557 | + | 1.36169i | ||||
\(883\) | 14.2020 | − | 8.19952i | 0.477935 | − | 0.275936i | −0.241621 | − | 0.970371i | \(-0.577679\pi\) |
0.719555 | + | 0.694435i | \(0.244346\pi\) | |||||||
\(884\) | −3.43262 | − | 27.9150i | −0.115452 | − | 0.938883i | ||||
\(885\) | 2.79038 | − | 1.24955i | 0.0937975 | − | 0.0420031i | ||||
\(886\) | 2.89371 | − | 5.80518i | 0.0972159 | − | 0.195029i | ||||
\(887\) | −6.88075 | − | 5.77363i | −0.231033 | − | 0.193860i | 0.519921 | − | 0.854214i | \(-0.325961\pi\) |
−0.750954 | + | 0.660355i | \(0.770406\pi\) | |||||||
\(888\) | 30.8714 | + | 2.89724i | 1.03598 | + | 0.0972249i | ||||
\(889\) | −2.04564 | − | 0.744552i | −0.0686086 | − | 0.0249715i | ||||
\(890\) | 2.15142 | + | 0.637071i | 0.0721159 | + | 0.0213547i | ||||
\(891\) | −29.1639 | + | 3.31895i | −0.977026 | + | 0.111189i | ||||
\(892\) | 7.30677 | + | 4.74320i | 0.244649 | + | 0.158814i | ||||
\(893\) | 0.834971 | − | 2.29406i | 0.0279412 | − | 0.0767679i | ||||
\(894\) | 16.3070 | − | 8.53536i | 0.545388 | − | 0.285465i | ||||
\(895\) | −8.32389 | − | 6.98458i | −0.278237 | − | 0.233469i | ||||
\(896\) | 30.3048 | − | 42.5423i | 1.01241 | − | 1.42124i | ||||
\(897\) | 19.1655 | + | 42.7987i | 0.639919 | + | 1.42901i | ||||
\(898\) | 19.0990 | + | 43.9140i | 0.637343 | + | 1.46543i | ||||
\(899\) | −0.912558 | + | 0.526866i | −0.0304355 | + | 0.0175720i | ||||
\(900\) | 28.1746 | + | 2.33788i | 0.939153 | + | 0.0779294i | ||||
\(901\) | 10.2034 | + | 5.89096i | 0.339926 | + | 0.196256i | ||||
\(902\) | −3.53777 | + | 31.0754i | −0.117795 | + | 1.03470i | ||||
\(903\) | −0.569710 | − | 7.90312i | −0.0189587 | − | 0.262999i | ||||
\(904\) | 4.73097 | − | 8.36722i | 0.157350 | − | 0.278290i | ||||
\(905\) | 8.06545 | − | 2.93558i | 0.268105 | − | 0.0975821i | ||||
\(906\) | 16.0648 | − | 5.10478i | 0.533717 | − | 0.169595i | ||||
\(907\) | 16.7843 | − | 2.95952i | 0.557312 | − | 0.0982691i | 0.112104 | − | 0.993696i | \(-0.464241\pi\) |
0.445208 | + | 0.895427i | \(0.353130\pi\) | |||||||
\(908\) | 8.07248 | + | 15.8361i | 0.267895 | + | 0.525539i | ||||
\(909\) | −25.7072 | + | 20.2632i | −0.852655 | + | 0.672089i | ||||
\(910\) | 12.2693 | − | 2.94676i | 0.406723 | − | 0.0976841i | ||||
\(911\) | −33.2666 | + | 27.9140i | −1.10217 | + | 0.924831i | −0.997569 | − | 0.0696828i | \(-0.977801\pi\) |
−0.104602 | + | 0.994514i | \(0.533357\pi\) | |||||||
\(912\) | 1.07037 | + | 3.26635i | 0.0354434 | + | 0.108160i | ||||
\(913\) | −8.64883 | + | 49.0500i | −0.286235 | + | 1.62332i | ||||
\(914\) | −24.2125 | + | 16.0290i | −0.800879 | + | 0.530194i | ||||
\(915\) | 10.6372 | + | 3.02545i | 0.351656 | + | 0.100018i | ||||
\(916\) | −25.4556 | + | 19.1893i | −0.841075 | + | 0.634033i | ||||
\(917\) | − | 63.8754i | − | 2.10935i | ||||||
\(918\) | −11.7308 | + | 26.1933i | −0.387174 | + | 0.864507i | ||||
\(919\) | 8.84543 | 0.291784 | 0.145892 | − | 0.989301i | \(-0.453395\pi\) | ||||
0.145892 | + | 0.989301i | \(0.453395\pi\) | |||||||
\(920\) | 4.00064 | + | 10.6914i | 0.131897 | + | 0.352485i | ||||
\(921\) | 7.87731 | − | 1.98203i | 0.259566 | − | 0.0653100i | ||||
\(922\) | 8.80608 | + | 13.3019i | 0.290013 | + | 0.438076i | ||||
\(923\) | −20.1409 | − | 3.55139i | −0.662946 | − | 0.116895i | ||||
\(924\) | 48.6502 | − | 18.8052i | 1.60047 | − | 0.618644i | ||||
\(925\) | −19.1699 | − | 22.8457i | −0.630301 | − | 0.751163i | ||||
\(926\) | 44.9853 | − | 10.8043i | 1.47831 | − | 0.355051i | ||||
\(927\) | 16.7808 | + | 3.49155i | 0.551153 | + | 0.114678i | ||||
\(928\) | −3.40570 | − | 1.40889i | −0.111798 | − | 0.0462492i | ||||
\(929\) | 0.469928 | + | 2.66510i | 0.0154178 | + | 0.0874389i | 0.991546 | − | 0.129758i | \(-0.0414199\pi\) |
−0.976128 | + | 0.217196i | \(0.930309\pi\) | |||||||
\(930\) | 1.43304 | − | 1.57093i | 0.0469912 | − | 0.0515130i | ||||
\(931\) | 2.42891 | + | 6.67337i | 0.0796042 | + | 0.218711i | ||||
\(932\) | −20.6141 | − | 4.75523i | −0.675237 | − | 0.155763i | ||||
\(933\) | −19.1606 | + | 39.5002i | −0.627289 | + | 1.29318i | ||||
\(934\) | 2.21160 | − | 19.4265i | 0.0723658 | − | 0.635654i | ||||
\(935\) | 3.41839 | − | 5.92083i | 0.111793 | − | 0.193632i | ||||
\(936\) | 30.5453 | + | 0.660255i | 0.998403 | + | 0.0215811i | ||||
\(937\) | −24.1539 | − | 41.8358i | −0.789074 | − | 1.36672i | −0.926535 | − | 0.376209i | \(-0.877227\pi\) |
0.137460 | − | 0.990507i | \(-0.456106\pi\) | |||||||
\(938\) | −85.9271 | + | 37.3714i | −2.80562 | + | 1.22022i | ||||
\(939\) | 7.26286 | + | 5.25297i | 0.237015 | + | 0.171424i | ||||
\(940\) | −3.86391 | − | 3.60186i | −0.126027 | − | 0.117480i | ||||
\(941\) | 5.97193 | − | 7.11707i | 0.194679 | − | 0.232010i | −0.659870 | − | 0.751380i | \(-0.729389\pi\) |
0.854550 | + | 0.519370i | \(0.173833\pi\) | |||||||
\(942\) | −0.608661 | + | 14.6956i | −0.0198312 | + | 0.478807i | ||||
\(943\) | −47.9144 | − | 17.4394i | −1.56031 | − | 0.567905i | ||||
\(944\) | −12.0155 | + | 5.35482i | −0.391071 | + | 0.174285i | ||||
\(945\) | −12.2713 | − | 3.89990i | −0.399186 | − | 0.126864i | ||||
\(946\) | −1.29763 | + | 4.38216i | −0.0421895 | + | 0.142476i | ||||
\(947\) | 9.51429 | − | 26.1403i | 0.309173 | − | 0.849446i | −0.683645 | − | 0.729814i | \(-0.739606\pi\) |
0.992818 | − | 0.119631i | \(-0.0381713\pi\) | |||||||
\(948\) | 17.3572 | + | 19.8736i | 0.563737 | + | 0.645463i | ||||
\(949\) | 36.2724 | − | 43.2278i | 1.17745 | − | 1.40323i | ||||
\(950\) | 1.47486 | − | 2.95878i | 0.0478509 | − | 0.0959956i | ||||
\(951\) | 21.7318 | + | 2.23690i | 0.704703 | + | 0.0725364i | ||||
\(952\) | 8.40382 | − | 50.3025i | 0.272369 | − | 1.63031i | ||||
\(953\) | 8.79617 | + | 15.2354i | 0.284936 | + | 0.493523i | 0.972594 | − | 0.232512i | \(-0.0746943\pi\) |
−0.687658 | + | 0.726035i | \(0.741361\pi\) | |||||||
\(954\) | −7.92333 | + | 10.0512i | −0.256527 | + | 0.325420i | ||||
\(955\) | −2.36787 | − | 1.36709i | −0.0766225 | − | 0.0442380i | ||||
\(956\) | −19.0338 | + | 44.8634i | −0.615599 | + | 1.45098i | ||||
\(957\) | −2.06459 | − | 3.04674i | −0.0667388 | − | 0.0984872i | ||||
\(958\) | 1.10665 | + | 18.0670i | 0.0357544 | + | 0.583718i | ||||
\(959\) | −47.5710 | + | 17.3144i | −1.53615 | + | 0.559112i | ||||
\(960\) | 7.41077 | + | 0.628289i | 0.239182 | + | 0.0202779i | ||||
\(961\) | −4.92888 | − | 27.9531i | −0.158996 | − | 0.901712i | ||||
\(962\) | −22.1872 | − | 23.3762i | −0.715343 | − | 0.753679i | ||||
\(963\) | 32.9006 | + | 1.00735i | 1.06021 | + | 0.0324615i | ||||
\(964\) | −1.26093 | + | 24.1431i | −0.0406119 | + | 0.777595i | ||||
\(965\) | −3.34266 | − | 3.98363i | −0.107604 | − | 0.128238i | ||||
\(966\) | 11.2878 | + | 84.2807i | 0.363179 | + | 2.71169i | ||||
\(967\) | 6.34832 | − | 36.0031i | 0.204148 | − | 1.15778i | −0.694626 | − | 0.719371i | \(-0.744430\pi\) |
0.898774 | − | 0.438412i | \(-0.144459\pi\) | |||||||
\(968\) | 1.02847 | − | 0.00925257i | 0.0330561 | − | 0.000297389i | ||||
\(969\) | 2.33655 | + | 2.40918i | 0.0750607 | + | 0.0773941i | ||||
\(970\) | 2.30878 | + | 1.70809i | 0.0741306 | + | 0.0548435i | ||||
\(971\) | − | 11.3272i | − | 0.363508i | −0.983344 | − | 0.181754i | \(-0.941823\pi\) | ||
0.983344 | − | 0.181754i | \(-0.0581775\pi\) | |||||||
\(972\) | −26.3311 | − | 16.6935i | −0.844571 | − | 0.535444i | ||||
\(973\) | 7.25861i | 0.232700i | ||||||||
\(974\) | −30.5751 | + | 41.3277i | −0.979690 | + | 1.32422i | ||||
\(975\) | −20.4584 | − | 21.0944i | −0.655193 | − | 0.675561i | ||||
\(976\) | −45.7444 | − | 13.0992i | −1.46424 | − | 0.419295i | ||||
\(977\) | 0.542154 | − | 3.07471i | 0.0173450 | − | 0.0983686i | −0.974906 | − | 0.222616i | \(-0.928540\pi\) |
0.992251 | + | 0.124247i | \(0.0396516\pi\) | |||||||
\(978\) | −56.5220 | + | 7.57004i | −1.80737 | + | 0.242063i | ||||
\(979\) | −6.19668 | − | 7.38491i | −0.198047 | − | 0.236023i | ||||
\(980\) | 15.3453 | + | 0.801447i | 0.490187 | + | 0.0256013i | ||||
\(981\) | −32.5390 | − | 0.996281i | −1.03889 | − | 0.0318088i | ||||
\(982\) | 34.7151 | − | 32.9493i | 1.10780 | − | 1.05146i | ||||
\(983\) | 0.180363 | + | 1.02289i | 0.00575268 | + | 0.0326251i | 0.987549 | − | 0.157312i | \(-0.0502828\pi\) |
−0.981796 | + | 0.189937i | \(0.939172\pi\) | |||||||
\(984\) | −23.6382 | + | 23.3419i | −0.753559 | + | 0.744112i | ||||
\(985\) | 5.38852 | − | 1.96126i | 0.171692 | − | 0.0624909i | ||||
\(986\) | −3.59190 | + | 0.220014i | −0.114389 | + | 0.00700668i | ||||
\(987\) | −22.0733 | − | 32.5738i | −0.702600 | − | 1.03683i | ||||
\(988\) | 1.39538 | − | 3.28896i | 0.0443931 | − | 0.104636i | ||||
\(989\) | −6.45263 | − | 3.72543i | −0.205182 | − | 0.118462i | ||||
\(990\) | 5.83249 | + | 4.59773i | 0.185369 | + | 0.146126i | ||||
\(991\) | 16.7706 | + | 29.0475i | 0.532734 | + | 0.922723i | 0.999269 | + | 0.0382200i | \(0.0121688\pi\) |
−0.466535 | + | 0.884503i | \(0.654498\pi\) | |||||||
\(992\) | −6.17789 | + | 6.74807i | −0.196148 | + | 0.214251i | ||||
\(993\) | 22.6573 | + | 2.33216i | 0.719007 | + | 0.0740088i | ||||
\(994\) | −33.1902 | − | 16.5443i | −1.05273 | − | 0.524753i | ||||
\(995\) | 1.84658 | − | 2.20067i | 0.0585406 | − | 0.0697660i | ||||
\(996\) | −39.8456 | + | 34.8005i | −1.26255 | + | 1.10269i | ||||
\(997\) | 14.5407 | − | 39.9502i | 0.460508 | − | 1.26524i | −0.464596 | − | 0.885523i | \(-0.653800\pi\) |
0.925104 | − | 0.379714i | \(-0.123977\pi\) | |||||||
\(998\) | 21.8808 | + | 6.47926i | 0.692625 | + | 0.205097i | ||||
\(999\) | 7.04504 | + | 32.1245i | 0.222895 | + | 1.01637i |
(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 | 216.2.t.a.85.25 | yes | 204 | |
3.2 | odd | 2 | 648.2.t.a.469.10 | 204 | |||
4.3 | odd | 2 | 864.2.bf.a.625.25 | 204 | |||
8.3 | odd | 2 | 864.2.bf.a.625.10 | 204 | |||
8.5 | even | 2 | inner | 216.2.t.a.85.17 | yes | 204 | |
24.5 | odd | 2 | 648.2.t.a.469.18 | 204 | |||
27.7 | even | 9 | inner | 216.2.t.a.61.17 | ✓ | 204 | |
27.20 | odd | 18 | 648.2.t.a.181.18 | 204 | |||
108.7 | odd | 18 | 864.2.bf.a.817.10 | 204 | |||
216.61 | even | 18 | inner | 216.2.t.a.61.25 | yes | 204 | |
216.101 | odd | 18 | 648.2.t.a.181.10 | 204 | |||
216.115 | odd | 18 | 864.2.bf.a.817.25 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.t.a.61.17 | ✓ | 204 | 27.7 | even | 9 | inner | |
216.2.t.a.61.25 | yes | 204 | 216.61 | even | 18 | inner | |
216.2.t.a.85.17 | yes | 204 | 8.5 | even | 2 | inner | |
216.2.t.a.85.25 | yes | 204 | 1.1 | even | 1 | trivial | |
648.2.t.a.181.10 | 204 | 216.101 | odd | 18 | |||
648.2.t.a.181.18 | 204 | 27.20 | odd | 18 | |||
648.2.t.a.469.10 | 204 | 3.2 | odd | 2 | |||
648.2.t.a.469.18 | 204 | 24.5 | odd | 2 | |||
864.2.bf.a.625.10 | 204 | 8.3 | odd | 2 | |||
864.2.bf.a.625.25 | 204 | 4.3 | odd | 2 | |||
864.2.bf.a.817.10 | 204 | 108.7 | odd | 18 | |||
864.2.bf.a.817.25 | 204 | 216.115 | odd | 18 |