Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(112,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.112");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.m (of order \(20\), degree \(8\), not 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 233.3 | ||
Character | \(\chi\) | \(=\) | 605.233 |
Dual form | 605.2.m.d.457.3 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.10335 | − | 0.562185i | 0.780186 | − | 0.397525i | −0.0180746 | − | 0.999837i | \(-0.505754\pi\) |
0.798261 | + | 0.602312i | \(0.205754\pi\) | |||||||
\(3\) | 2.51281 | + | 0.397989i | 1.45077 | + | 0.229779i | 0.831555 | − | 0.555443i | \(-0.187451\pi\) |
0.619214 | + | 0.785222i | \(0.287451\pi\) | |||||||
\(4\) | −0.274241 | + | 0.377461i | −0.137121 | + | 0.188730i | ||||
\(5\) | 1.89876 | + | 1.18097i | 0.849153 | + | 0.528148i | ||||
\(6\) | 2.99625 | − | 0.973540i | 1.22321 | − | 0.397446i | ||||
\(7\) | −0.542552 | − | 3.42554i | −0.205065 | − | 1.29473i | −0.848486 | − | 0.529218i | \(-0.822485\pi\) |
0.643420 | − | 0.765513i | \(-0.277515\pi\) | |||||||
\(8\) | −0.477813 | + | 3.01679i | −0.168932 | + | 1.06660i | ||||
\(9\) | 3.30263 | + | 1.07309i | 1.10088 | + | 0.357697i | ||||
\(10\) | 2.75893 | + | 0.235572i | 0.872449 | + | 0.0744944i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −0.839340 | + | 0.839340i | −0.242297 | + | 0.242297i | ||||
\(13\) | −0.335770 | − | 0.658986i | −0.0931259 | − | 0.182770i | 0.839745 | − | 0.542981i | \(-0.182705\pi\) |
−0.932871 | + | 0.360211i | \(0.882705\pi\) | |||||||
\(14\) | −2.52441 | − | 3.47455i | −0.674677 | − | 0.928613i | ||||
\(15\) | 4.30121 | + | 3.72325i | 1.11057 | + | 0.961338i | ||||
\(16\) | 0.880445 | + | 2.70973i | 0.220111 | + | 0.677433i | ||||
\(17\) | 0.280240 | − | 0.550001i | 0.0679681 | − | 0.133395i | −0.854523 | − | 0.519414i | \(-0.826150\pi\) |
0.922491 | + | 0.386019i | \(0.126150\pi\) | |||||||
\(18\) | 4.24723 | − | 0.672695i | 1.00108 | − | 0.158556i | ||||
\(19\) | −2.54465 | + | 1.84880i | −0.583783 | + | 0.424143i | −0.840086 | − | 0.542453i | \(-0.817496\pi\) |
0.256303 | + | 0.966597i | \(0.417496\pi\) | |||||||
\(20\) | −0.966490 | + | 0.392836i | −0.216114 | + | 0.0878409i | ||||
\(21\) | − | 8.82364i | − | 1.92548i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −4.30752 | − | 4.30752i | −0.898181 | − | 0.898181i | 0.0970945 | − | 0.995275i | \(-0.469045\pi\) |
−0.995275 | + | 0.0970945i | \(0.969045\pi\) | |||||||
\(24\) | −2.40130 | + | 7.39045i | −0.490164 | + | 1.50857i | ||||
\(25\) | 2.21060 | + | 4.48478i | 0.442120 | + | 0.896956i | ||||
\(26\) | −0.740944 | − | 0.538327i | −0.145311 | − | 0.105575i | ||||
\(27\) | 1.07129 | + | 0.545847i | 0.206169 | + | 0.105048i | ||||
\(28\) | 1.44180 | + | 0.734631i | 0.272474 | + | 0.138832i | ||||
\(29\) | 2.34668 | + | 1.70497i | 0.435768 | + | 0.316604i | 0.783951 | − | 0.620822i | \(-0.213201\pi\) |
−0.348183 | + | 0.937427i | \(0.613201\pi\) | |||||||
\(30\) | 6.83889 | + | 1.68997i | 1.24860 | + | 0.308545i | ||||
\(31\) | 0.937993 | − | 2.88684i | 0.168468 | − | 0.518493i | −0.830807 | − | 0.556561i | \(-0.812121\pi\) |
0.999275 | + | 0.0380685i | \(0.0121205\pi\) | |||||||
\(32\) | −1.82476 | − | 1.82476i | −0.322575 | − | 0.322575i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 0.764390i | − | 0.131092i | ||||||
\(35\) | 3.01529 | − | 7.14502i | 0.509678 | − | 1.20773i | ||||
\(36\) | −1.31077 | + | 0.952327i | −0.218461 | + | 0.158721i | ||||
\(37\) | −2.27244 | + | 0.359919i | −0.373587 | + | 0.0591704i | −0.340405 | − | 0.940279i | \(-0.610564\pi\) |
−0.0331821 | + | 0.999449i | \(0.510564\pi\) | |||||||
\(38\) | −1.76828 | + | 3.47044i | −0.286852 | + | 0.562979i | ||||
\(39\) | −0.581456 | − | 1.78954i | −0.0931075 | − | 0.286555i | ||||
\(40\) | −4.47001 | + | 5.16389i | −0.706770 | + | 0.816482i | ||||
\(41\) | 0.599732 | + | 0.825461i | 0.0936624 | + | 0.128915i | 0.853276 | − | 0.521459i | \(-0.174612\pi\) |
−0.759614 | + | 0.650374i | \(0.774612\pi\) | |||||||
\(42\) | −4.96052 | − | 9.73556i | −0.765424 | − | 1.50223i | ||||
\(43\) | −4.07488 | + | 4.07488i | −0.621413 | + | 0.621413i | −0.945893 | − | 0.324480i | \(-0.894811\pi\) |
0.324480 | + | 0.945893i | \(0.394811\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 5.00362 | + | 5.93786i | 0.745896 | + | 0.885164i | ||||
\(46\) | −7.17433 | − | 2.33108i | −1.05780 | − | 0.343699i | ||||
\(47\) | −0.169785 | + | 1.07198i | −0.0247658 | + | 0.156365i | −0.996972 | − | 0.0777612i | \(-0.975223\pi\) |
0.972206 | + | 0.234126i | \(0.0752228\pi\) | |||||||
\(48\) | 1.13394 | + | 7.15944i | 0.163671 | + | 1.03338i | ||||
\(49\) | −4.78255 | + | 1.55394i | −0.683221 | + | 0.221992i | ||||
\(50\) | 4.96034 | + | 3.70552i | 0.701498 | + | 0.524039i | ||||
\(51\) | 0.923082 | − | 1.27051i | 0.129257 | − | 0.177908i | ||||
\(52\) | 0.340823 | + | 0.0539811i | 0.0472637 | + | 0.00748583i | ||||
\(53\) | 3.82623 | − | 1.94956i | 0.525573 | − | 0.267793i | −0.171010 | − | 0.985269i | \(-0.554703\pi\) |
0.696583 | + | 0.717476i | \(0.254703\pi\) | |||||||
\(54\) | 1.48887 | 0.202609 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 10.5934 | 1.41560 | ||||||||
\(57\) | −7.13002 | + | 3.63293i | −0.944394 | + | 0.481193i | ||||
\(58\) | 3.54772 | + | 0.561903i | 0.465838 | + | 0.0737815i | ||||
\(59\) | 4.35079 | − | 5.98835i | 0.566425 | − | 0.779617i | −0.425701 | − | 0.904864i | \(-0.639972\pi\) |
0.992126 | + | 0.125247i | \(0.0399724\pi\) | |||||||
\(60\) | −2.58495 | + | 0.602469i | −0.333715 | + | 0.0777784i | ||||
\(61\) | 3.56415 | − | 1.15806i | 0.456342 | − | 0.148275i | −0.0718208 | − | 0.997418i | \(-0.522881\pi\) |
0.528163 | + | 0.849143i | \(0.322881\pi\) | |||||||
\(62\) | −0.588006 | − | 3.71253i | −0.0746769 | − | 0.471491i | ||||
\(63\) | 1.88406 | − | 11.8955i | 0.237369 | − | 1.49869i | ||||
\(64\) | −8.45866 | − | 2.74839i | −1.05733 | − | 0.343548i | ||||
\(65\) | 0.140698 | − | 1.64779i | 0.0174514 | − | 0.204384i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −9.39407 | + | 9.39407i | −1.14767 | + | 1.14767i | −0.160658 | + | 0.987010i | \(0.551361\pi\) |
−0.987010 | + | 0.160658i | \(0.948639\pi\) | |||||||
\(68\) | 0.130751 | + | 0.256612i | 0.0158558 | + | 0.0311188i | ||||
\(69\) | −9.10962 | − | 12.5383i | −1.09667 | − | 1.50944i | ||||
\(70\) | −0.689900 | − | 9.57861i | −0.0824588 | − | 1.14486i | ||||
\(71\) | 1.11688 | + | 3.43742i | 0.132550 | + | 0.407946i | 0.995201 | − | 0.0978532i | \(-0.0311976\pi\) |
−0.862651 | + | 0.505799i | \(0.831198\pi\) | |||||||
\(72\) | −4.81533 | + | 9.45061i | −0.567492 | + | 1.11376i | ||||
\(73\) | −0.531022 | + | 0.0841057i | −0.0621515 | + | 0.00984382i | −0.187433 | − | 0.982277i | \(-0.560017\pi\) |
0.125281 | + | 0.992121i | \(0.460017\pi\) | |||||||
\(74\) | −2.30496 | + | 1.67465i | −0.267946 | + | 0.194674i | ||||
\(75\) | 3.76992 | + | 12.1492i | 0.435312 | + | 1.40287i | ||||
\(76\) | − | 1.46752i | − | 0.168336i | ||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −1.64760 | − | 1.64760i | −0.186554 | − | 0.186554i | ||||
\(79\) | 3.77215 | − | 11.6095i | 0.424400 | − | 1.30617i | −0.479168 | − | 0.877723i | \(-0.659061\pi\) |
0.903568 | − | 0.428446i | \(-0.140939\pi\) | |||||||
\(80\) | −1.52837 | + | 6.18492i | −0.170877 | + | 0.691495i | ||||
\(81\) | −5.95346 | − | 4.32544i | −0.661496 | − | 0.480605i | ||||
\(82\) | 1.12578 | + | 0.573611i | 0.124321 | + | 0.0633448i | ||||
\(83\) | −14.2813 | − | 7.27669i | −1.56758 | − | 0.798721i | −0.567876 | − | 0.823114i | \(-0.692235\pi\) |
−0.999702 | + | 0.0243933i | \(0.992235\pi\) | |||||||
\(84\) | 3.33058 | + | 2.41981i | 0.363396 | + | 0.264022i | ||||
\(85\) | 1.18165 | − | 0.713366i | 0.128167 | − | 0.0773754i | ||||
\(86\) | −2.20518 | + | 6.78685i | −0.237791 | + | 0.731845i | ||||
\(87\) | 5.21820 | + | 5.21820i | 0.559450 | + | 0.559450i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 14.6832i | − | 1.55642i | −0.628004 | − | 0.778210i | \(-0.716128\pi\) | ||
0.628004 | − | 0.778210i | \(-0.283872\pi\) | |||||||
\(90\) | 8.85892 | + | 3.73858i | 0.933812 | + | 0.394081i | ||||
\(91\) | −2.07521 | + | 1.50773i | −0.217541 | + | 0.158053i | ||||
\(92\) | 2.80722 | − | 0.444620i | 0.292673 | − | 0.0463548i | ||||
\(93\) | 3.50593 | − | 6.88077i | 0.363548 | − | 0.713503i | ||||
\(94\) | 0.415320 | + | 1.27822i | 0.0428370 | + | 0.131839i | ||||
\(95\) | −7.01507 | + | 0.505261i | −0.719731 | + | 0.0518387i | ||||
\(96\) | −3.85903 | − | 5.31150i | −0.393860 | − | 0.542102i | ||||
\(97\) | 6.51518 | + | 12.7868i | 0.661516 | + | 1.29830i | 0.941084 | + | 0.338173i | \(0.109809\pi\) |
−0.279568 | + | 0.960126i | \(0.590191\pi\) | |||||||
\(98\) | −4.40322 | + | 4.40322i | −0.444792 | + | 0.444792i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.29906 | − | 0.395497i | −0.229906 | − | 0.0395497i | ||||
\(101\) | 7.67156 | + | 2.49264i | 0.763349 | + | 0.248027i | 0.664715 | − | 0.747097i | \(-0.268553\pi\) |
0.0986336 | + | 0.995124i | \(0.468553\pi\) | |||||||
\(102\) | 0.304219 | − | 1.92076i | 0.0301222 | − | 0.190184i | ||||
\(103\) | −0.560316 | − | 3.53769i | −0.0552095 | − | 0.348579i | −0.999794 | − | 0.0203101i | \(-0.993535\pi\) |
0.944584 | − | 0.328269i | \(-0.106465\pi\) | |||||||
\(104\) | 2.14846 | − | 0.698077i | 0.210674 | − | 0.0684520i | ||||
\(105\) | 10.4205 | − | 16.7540i | 1.01694 | − | 1.63502i | ||||
\(106\) | 3.12566 | − | 4.30210i | 0.303591 | − | 0.417857i | ||||
\(107\) | −6.51530 | − | 1.03192i | −0.629858 | − | 0.0997598i | −0.166660 | − | 0.986014i | \(-0.553298\pi\) |
−0.463198 | + | 0.886255i | \(0.653298\pi\) | |||||||
\(108\) | −0.499826 | + | 0.254674i | −0.0480958 | + | 0.0245060i | ||||
\(109\) | 7.21601 | 0.691169 | 0.345584 | − | 0.938388i | \(-0.387681\pi\) | ||||
0.345584 | + | 0.938388i | \(0.387681\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −5.85345 | −0.555585 | ||||||||
\(112\) | 8.80460 | − | 4.48617i | 0.831957 | − | 0.423903i | ||||
\(113\) | 4.17124 | + | 0.660660i | 0.392397 | + | 0.0621496i | 0.349516 | − | 0.936931i | \(-0.386346\pi\) |
0.0428817 | + | 0.999080i | \(0.486346\pi\) | |||||||
\(114\) | −5.82453 | + | 8.01678i | −0.545517 | + | 0.750840i | ||||
\(115\) | −3.09189 | − | 13.2660i | −0.288320 | − | 1.23706i | ||||
\(116\) | −1.28711 | + | 0.418209i | −0.119506 | + | 0.0388297i | ||||
\(117\) | −0.401774 | − | 2.53670i | −0.0371440 | − | 0.234518i | ||||
\(118\) | 1.43388 | − | 9.05319i | 0.132000 | − | 0.833414i | ||||
\(119\) | −2.03609 | − | 0.661567i | −0.186648 | − | 0.0606458i | ||||
\(120\) | −13.2874 | + | 11.1968i | −1.21297 | + | 1.02213i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 3.28146 | − | 3.28146i | 0.297089 | − | 0.297089i | ||||
\(123\) | 1.17849 | + | 2.31291i | 0.106261 | + | 0.208548i | ||||
\(124\) | 0.832434 | + | 1.14575i | 0.0747548 | + | 0.102891i | ||||
\(125\) | −1.09900 | + | 11.1262i | −0.0982978 | + | 0.995157i | ||||
\(126\) | −4.60869 | − | 14.1841i | −0.410574 | − | 1.26362i | ||||
\(127\) | −5.89508 | + | 11.5697i | −0.523104 | + | 1.02665i | 0.466728 | + | 0.884401i | \(0.345433\pi\) |
−0.989831 | + | 0.142247i | \(0.954567\pi\) | |||||||
\(128\) | −5.78032 | + | 0.915512i | −0.510913 | + | 0.0809206i | ||||
\(129\) | −11.8611 | + | 8.61762i | −1.04431 | + | 0.758739i | ||||
\(130\) | −0.771126 | − | 1.89719i | −0.0676323 | − | 0.166395i | ||||
\(131\) | 17.2362i | 1.50593i | 0.658058 | + | 0.752967i | \(0.271378\pi\) | ||||
−0.658058 | + | 0.752967i | \(0.728622\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 7.71373 | + | 7.71373i | 0.668866 | + | 0.668866i | ||||
\(134\) | −5.08374 | + | 15.6461i | −0.439168 | + | 1.35162i | ||||
\(135\) | 1.38949 | + | 2.30159i | 0.119588 | + | 0.198090i | ||||
\(136\) | 1.52534 | + | 1.10822i | 0.130797 | + | 0.0950292i | ||||
\(137\) | 5.12484 | + | 2.61124i | 0.437845 | + | 0.223093i | 0.658996 | − | 0.752146i | \(-0.270981\pi\) |
−0.221151 | + | 0.975240i | \(0.570981\pi\) | |||||||
\(138\) | −17.1000 | − | 8.71286i | −1.45564 | − | 0.741688i | ||||
\(139\) | −10.3683 | − | 7.53301i | −0.879427 | − | 0.638941i | 0.0536727 | − | 0.998559i | \(-0.482907\pi\) |
−0.933100 | + | 0.359617i | \(0.882907\pi\) | |||||||
\(140\) | 1.87005 | + | 3.09761i | 0.158048 | + | 0.261796i | ||||
\(141\) | −0.853276 | + | 2.62611i | −0.0718588 | + | 0.221159i | ||||
\(142\) | 3.16478 | + | 3.16478i | 0.265582 | + | 0.265582i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 9.89404i | 0.824503i | ||||||||
\(145\) | 2.44228 | + | 6.00870i | 0.202820 | + | 0.498995i | ||||
\(146\) | −0.538621 | + | 0.391331i | −0.0445766 | + | 0.0323868i | ||||
\(147\) | −12.6361 | + | 2.00136i | −1.04221 | + | 0.165069i | ||||
\(148\) | 0.487341 | − | 0.956462i | 0.0400592 | − | 0.0786207i | ||||
\(149\) | 5.92654 | + | 18.2400i | 0.485521 | + | 1.49428i | 0.831225 | + | 0.555937i | \(0.187640\pi\) |
−0.345704 | + | 0.938344i | \(0.612360\pi\) | |||||||
\(150\) | 10.9896 | + | 11.2854i | 0.897299 | + | 0.921449i | ||||
\(151\) | 11.1225 | + | 15.3088i | 0.905136 | + | 1.24581i | 0.968801 | + | 0.247841i | \(0.0797210\pi\) |
−0.0636652 | + | 0.997971i | \(0.520279\pi\) | |||||||
\(152\) | −4.36157 | − | 8.56007i | −0.353770 | − | 0.694313i | ||||
\(153\) | 1.51573 | − | 1.51573i | 0.122539 | − | 0.122539i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.19031 | − | 4.37369i | 0.416896 | − | 0.351303i | ||||
\(156\) | 0.834939 | + | 0.271288i | 0.0668486 | + | 0.0217204i | ||||
\(157\) | 1.92127 | − | 12.1304i | 0.153334 | − | 0.968114i | −0.784273 | − | 0.620416i | \(-0.786964\pi\) |
0.937607 | − | 0.347697i | \(-0.113036\pi\) | |||||||
\(158\) | −2.36467 | − | 14.9300i | −0.188123 | − | 1.18776i | ||||
\(159\) | 10.3905 | − | 3.37607i | 0.824019 | − | 0.267740i | ||||
\(160\) | −1.30979 | − | 5.61977i | −0.103548 | − | 0.444282i | ||||
\(161\) | −12.4185 | + | 17.0926i | −0.978717 | + | 1.34709i | ||||
\(162\) | −9.00045 | − | 1.42553i | −0.707142 | − | 0.112000i | ||||
\(163\) | 8.64305 | − | 4.40385i | 0.676976 | − | 0.344936i | −0.0814671 | − | 0.996676i | \(-0.525961\pi\) |
0.758443 | + | 0.651740i | \(0.225961\pi\) | |||||||
\(164\) | −0.476050 | −0.0371733 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −19.8481 | −1.54051 | ||||||||
\(167\) | −10.1035 | + | 5.14798i | −0.781830 | + | 0.398362i | −0.798879 | − | 0.601492i | \(-0.794573\pi\) |
0.0170486 | + | 0.999855i | \(0.494573\pi\) | |||||||
\(168\) | 26.6191 | + | 4.21605i | 2.05371 | + | 0.325275i | ||||
\(169\) | 7.31969 | − | 10.0747i | 0.563053 | − | 0.774976i | ||||
\(170\) | 0.902725 | − | 1.45140i | 0.0692359 | − | 0.111317i | ||||
\(171\) | −10.3880 | + | 3.37526i | −0.794388 | + | 0.258112i | ||||
\(172\) | −0.420606 | − | 2.65560i | −0.0320709 | − | 0.202488i | ||||
\(173\) | −0.718617 | + | 4.53717i | −0.0546354 | + | 0.344954i | 0.945194 | + | 0.326508i | \(0.105872\pi\) |
−0.999830 | + | 0.0184465i | \(0.994128\pi\) | |||||||
\(174\) | 8.69110 | + | 2.82391i | 0.658871 | + | 0.214080i | ||||
\(175\) | 14.1634 | − | 10.0057i | 1.07065 | − | 0.756361i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 13.3160 | − | 13.3160i | 1.00089 | − | 1.00089i | ||||
\(178\) | −8.25470 | − | 16.2008i | −0.618716 | − | 1.21430i | ||||
\(179\) | 1.61687 | + | 2.22543i | 0.120850 | + | 0.166336i | 0.865156 | − | 0.501503i | \(-0.167219\pi\) |
−0.744306 | + | 0.667839i | \(0.767219\pi\) | |||||||
\(180\) | −3.61351 | + | 0.260263i | −0.269335 | + | 0.0193988i | ||||
\(181\) | −2.20891 | − | 6.79832i | −0.164187 | − | 0.505315i | 0.834789 | − | 0.550571i | \(-0.185590\pi\) |
−0.998975 | + | 0.0452555i | \(0.985590\pi\) | |||||||
\(182\) | −1.44206 | + | 2.83020i | −0.106893 | + | 0.209789i | ||||
\(183\) | 9.41691 | − | 1.49149i | 0.696118 | − | 0.110254i | ||||
\(184\) | 15.0531 | − | 10.9367i | 1.10973 | − | 0.806265i | ||||
\(185\) | −4.73988 | − | 2.00029i | −0.348483 | − | 0.147064i | ||||
\(186\) | − | 9.56288i | − | 0.701184i | ||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −0.358069 | − | 0.358069i | −0.0261149 | − | 0.0261149i | ||||
\(189\) | 1.28859 | − | 3.96588i | 0.0937312 | − | 0.288475i | ||||
\(190\) | −7.45603 | + | 4.50125i | −0.540917 | + | 0.326555i | ||||
\(191\) | 2.81857 | + | 2.04781i | 0.203945 | + | 0.148175i | 0.685070 | − | 0.728477i | \(-0.259772\pi\) |
−0.481125 | + | 0.876652i | \(0.659772\pi\) | |||||||
\(192\) | −20.1612 | − | 10.2726i | −1.45501 | − | 0.741362i | ||||
\(193\) | 9.67938 | + | 4.93189i | 0.696737 | + | 0.355005i | 0.766220 | − | 0.642578i | \(-0.222135\pi\) |
−0.0694834 | + | 0.997583i | \(0.522135\pi\) | |||||||
\(194\) | 14.3771 | + | 10.4455i | 1.03221 | + | 0.749946i | ||||
\(195\) | 1.00935 | − | 4.08459i | 0.0722811 | − | 0.292504i | ||||
\(196\) | 0.725019 | − | 2.23138i | 0.0517870 | − | 0.159384i | ||||
\(197\) | −11.3729 | − | 11.3729i | −0.810285 | − | 0.810285i | 0.174391 | − | 0.984676i | \(-0.444204\pi\) |
−0.984676 | + | 0.174391i | \(0.944204\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 27.7479i | 1.96700i | 0.180916 | + | 0.983499i | \(0.442094\pi\) | ||||
−0.180916 | + | 0.983499i | \(0.557906\pi\) | |||||||
\(200\) | −14.5859 | + | 4.52603i | −1.03138 | + | 0.320039i | ||||
\(201\) | −27.3442 | + | 19.8667i | −1.92871 | + | 1.40129i | ||||
\(202\) | 9.86574 | − | 1.56258i | 0.694151 | − | 0.109943i | ||||
\(203\) | 4.56722 | − | 8.96368i | 0.320556 | − | 0.629127i | ||||
\(204\) | 0.226422 | + | 0.696854i | 0.0158527 | + | 0.0487896i | ||||
\(205\) | 0.163902 | + | 2.27562i | 0.0114474 | + | 0.158936i | ||||
\(206\) | −2.60706 | − | 3.58831i | −0.181643 | − | 0.250010i | ||||
\(207\) | −9.60380 | − | 18.8485i | −0.667510 | − | 1.31006i | ||||
\(208\) | 1.49005 | − | 1.49005i | 0.103316 | − | 0.103316i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 2.07860 | − | 24.3438i | 0.143437 | − | 1.67988i | ||||
\(211\) | 19.5731 | + | 6.35970i | 1.34747 | + | 0.437820i | 0.891841 | − | 0.452349i | \(-0.149414\pi\) |
0.455630 | + | 0.890169i | \(0.349414\pi\) | |||||||
\(212\) | −0.313427 | + | 1.97890i | −0.0215263 | + | 0.135911i | ||||
\(213\) | 1.43846 | + | 9.08207i | 0.0985615 | + | 0.622293i | ||||
\(214\) | −7.76879 | + | 2.52423i | −0.531064 | + | 0.172553i | ||||
\(215\) | −12.5496 | + | 2.92490i | −0.855872 | + | 0.199477i | ||||
\(216\) | −2.15858 | + | 2.97103i | −0.146873 | + | 0.202153i | ||||
\(217\) | −10.3979 | − | 1.64687i | −0.705856 | − | 0.111797i | ||||
\(218\) | 7.96179 | − | 4.05673i | 0.539240 | − | 0.274757i | ||||
\(219\) | −1.36783 | −0.0924293 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.456539 | −0.0307102 | ||||||||
\(222\) | −6.45840 | + | 3.29072i | −0.433460 | + | 0.220859i | ||||
\(223\) | 7.91412 | + | 1.25347i | 0.529969 | + | 0.0839388i | 0.415684 | − | 0.909509i | \(-0.363542\pi\) |
0.114285 | + | 0.993448i | \(0.463542\pi\) | |||||||
\(224\) | −5.26075 | + | 7.24080i | −0.351499 | + | 0.483796i | ||||
\(225\) | 2.48823 | + | 17.1837i | 0.165882 | + | 1.14558i | ||||
\(226\) | 4.97375 | − | 1.61607i | 0.330849 | − | 0.107499i | ||||
\(227\) | 0.484764 | + | 3.06068i | 0.0321749 | + | 0.203144i | 0.998539 | − | 0.0540329i | \(-0.0172076\pi\) |
−0.966364 | + | 0.257177i | \(0.917208\pi\) | |||||||
\(228\) | 0.584058 | − | 3.68760i | 0.0386802 | − | 0.244217i | ||||
\(229\) | −14.0003 | − | 4.54899i | −0.925169 | − | 0.300606i | −0.192583 | − | 0.981281i | \(-0.561687\pi\) |
−0.732586 | + | 0.680675i | \(0.761687\pi\) | |||||||
\(230\) | −10.8694 | − | 12.8989i | −0.716707 | − | 0.850526i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −6.26480 | + | 6.26480i | −0.411304 | + | 0.411304i | ||||
\(233\) | −6.33106 | − | 12.4254i | −0.414761 | − | 0.814015i | −0.999995 | − | 0.00315044i | \(-0.998997\pi\) |
0.585234 | − | 0.810865i | \(-0.301003\pi\) | |||||||
\(234\) | −1.86939 | − | 2.57300i | −0.122206 | − | 0.168202i | ||||
\(235\) | −1.58837 | + | 1.83493i | −0.103614 | + | 0.119698i | ||||
\(236\) | 1.06720 | + | 3.28450i | 0.0694688 | + | 0.213803i | ||||
\(237\) | 14.0991 | − | 27.6711i | 0.915837 | − | 1.79743i | ||||
\(238\) | −2.61845 | + | 0.414721i | −0.169729 | + | 0.0268824i | ||||
\(239\) | −2.60330 | + | 1.89141i | −0.168393 | + | 0.122345i | −0.668790 | − | 0.743451i | \(-0.733188\pi\) |
0.500397 | + | 0.865796i | \(0.333188\pi\) | |||||||
\(240\) | −6.30202 | + | 14.9332i | −0.406794 | + | 0.963936i | ||||
\(241\) | 15.0738i | 0.970989i | 0.874240 | + | 0.485494i | \(0.161360\pi\) | ||||
−0.874240 | + | 0.485494i | \(0.838640\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −15.7890 | − | 15.7890i | −1.01286 | − | 1.01286i | ||||
\(244\) | −0.540313 | + | 1.66291i | −0.0345900 | + | 0.106457i | ||||
\(245\) | −10.9161 | − | 2.69749i | −0.697403 | − | 0.172337i | ||||
\(246\) | 2.60057 | + | 1.88942i | 0.165806 | + | 0.120465i | ||||
\(247\) | 2.07275 | + | 1.05612i | 0.131886 | + | 0.0671993i | ||||
\(248\) | 8.26082 | + | 4.20910i | 0.524563 | + | 0.267278i | ||||
\(249\) | −32.9901 | − | 23.9687i | −2.09066 | − | 1.51896i | ||||
\(250\) | 5.04239 | + | 12.8939i | 0.318909 | + | 0.815484i | ||||
\(251\) | −0.619073 | + | 1.90531i | −0.0390755 | + | 0.120262i | −0.968691 | − | 0.248268i | \(-0.920139\pi\) |
0.929616 | + | 0.368530i | \(0.120139\pi\) | |||||||
\(252\) | 3.97339 | + | 3.97339i | 0.250300 | + | 0.250300i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 16.0796i | 1.00892i | ||||||||
\(255\) | 3.25316 | − | 1.32227i | 0.203721 | − | 0.0828037i | ||||
\(256\) | 8.52771 | − | 6.19575i | 0.532982 | − | 0.387234i | ||||
\(257\) | −3.76356 | + | 0.596089i | −0.234764 | + | 0.0371830i | −0.272708 | − | 0.962097i | \(-0.587919\pi\) |
0.0379437 | + | 0.999280i | \(0.487919\pi\) | |||||||
\(258\) | −8.24229 | + | 16.1764i | −0.513142 | + | 1.00710i | ||||
\(259\) | 2.46583 | + | 7.58906i | 0.153219 | + | 0.471561i | ||||
\(260\) | 0.583392 | + | 0.505001i | 0.0361805 | + | 0.0313188i | ||||
\(261\) | 5.92065 | + | 8.14907i | 0.366479 | + | 0.504415i | ||||
\(262\) | 9.68993 | + | 19.0176i | 0.598646 | + | 1.17491i | ||||
\(263\) | 0.123512 | − | 0.123512i | 0.00761605 | − | 0.00761605i | −0.703289 | − | 0.710905i | \(-0.748286\pi\) |
0.710905 | + | 0.703289i | \(0.248286\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 9.56749 | + | 0.816924i | 0.587726 | + | 0.0501832i | ||||
\(266\) | 12.8475 | + | 4.17440i | 0.787730 | + | 0.255949i | ||||
\(267\) | 5.84378 | − | 36.8962i | 0.357633 | − | 2.25801i | ||||
\(268\) | −0.969650 | − | 6.12213i | −0.0592308 | − | 0.373969i | ||||
\(269\) | −6.58632 | + | 2.14003i | −0.401575 | + | 0.130480i | −0.502839 | − | 0.864380i | \(-0.667711\pi\) |
0.101264 | + | 0.994860i | \(0.467711\pi\) | |||||||
\(270\) | 2.82701 | + | 1.75832i | 0.172046 | + | 0.107008i | ||||
\(271\) | 13.4374 | − | 18.4949i | 0.816261 | − | 1.12349i | −0.174066 | − | 0.984734i | \(-0.555691\pi\) |
0.990327 | − | 0.138753i | \(-0.0443094\pi\) | |||||||
\(272\) | 1.73709 | + | 0.275128i | 0.105327 | + | 0.0166821i | ||||
\(273\) | −5.81466 | + | 2.96272i | −0.351919 | + | 0.179312i | ||||
\(274\) | 7.12249 | 0.430285 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 7.23096 | 0.435252 | ||||||||
\(277\) | 3.30236 | − | 1.68264i | 0.198420 | − | 0.101100i | −0.351958 | − | 0.936016i | \(-0.614484\pi\) |
0.550377 | + | 0.834916i | \(0.314484\pi\) | |||||||
\(278\) | −15.6748 | − | 2.48264i | −0.940112 | − | 0.148899i | ||||
\(279\) | 6.19569 | − | 8.52763i | 0.370926 | − | 0.510536i | ||||
\(280\) | 20.1143 | + | 12.5105i | 1.20206 | + | 0.747645i | ||||
\(281\) | −3.05555 | + | 0.992807i | −0.182279 | + | 0.0592259i | −0.398734 | − | 0.917067i | \(-0.630550\pi\) |
0.216456 | + | 0.976292i | \(0.430550\pi\) | |||||||
\(282\) | 0.534899 | + | 3.37722i | 0.0318528 | + | 0.201111i | ||||
\(283\) | 3.30934 | − | 20.8944i | 0.196720 | − | 1.24204i | −0.669664 | − | 0.742664i | \(-0.733562\pi\) |
0.866384 | − | 0.499378i | \(-0.166438\pi\) | |||||||
\(284\) | −1.60378 | − | 0.521101i | −0.0951671 | − | 0.0309217i | ||||
\(285\) | −17.8286 | − | 1.52230i | −1.05608 | − | 0.0901735i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 2.50226 | − | 2.50226i | 0.147704 | − | 0.147704i | ||||
\(288\) | −4.06837 | − | 7.98463i | −0.239731 | − | 0.470499i | ||||
\(289\) | 9.76838 | + | 13.4450i | 0.574611 | + | 0.790884i | ||||
\(290\) | 6.07268 | + | 5.25669i | 0.356600 | + | 0.308683i | ||||
\(291\) | 11.2824 | + | 34.7236i | 0.661386 | + | 2.03554i | ||||
\(292\) | 0.113882 | − | 0.223505i | 0.00666442 | − | 0.0130797i | ||||
\(293\) | 28.3396 | − | 4.48855i | 1.65561 | − | 0.262224i | 0.742476 | − | 0.669872i | \(-0.233651\pi\) |
0.913139 | + | 0.407649i | \(0.133651\pi\) | |||||||
\(294\) | −12.8169 | + | 9.31200i | −0.747495 | + | 0.543087i | ||||
\(295\) | 15.3332 | − | 6.23228i | 0.892734 | − | 0.362858i | ||||
\(296\) | − | 7.02745i | − | 0.408462i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 16.7933 | + | 16.7933i | 0.972810 | + | 0.972810i | ||||
\(299\) | −1.39226 | + | 4.28494i | −0.0805165 | + | 0.247804i | ||||
\(300\) | −5.61970 | − | 1.90881i | −0.324454 | − | 0.110205i | ||||
\(301\) | 16.1695 | + | 11.7478i | 0.931993 | + | 0.677133i | ||||
\(302\) | 20.8784 | + | 10.6381i | 1.20142 | + | 0.612152i | ||||
\(303\) | 18.2851 | + | 9.31673i | 1.05045 | + | 0.535232i | ||||
\(304\) | −7.25018 | − | 5.26756i | −0.415826 | − | 0.302115i | ||||
\(305\) | 8.13511 | + | 2.01028i | 0.465815 | + | 0.115108i | ||||
\(306\) | 0.820259 | − | 2.52450i | 0.0468911 | − | 0.144316i | ||||
\(307\) | 13.1727 | + | 13.1727i | 0.751808 | + | 0.751808i | 0.974817 | − | 0.223008i | \(-0.0715877\pi\) |
−0.223008 | + | 0.974817i | \(0.571588\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 9.11254i | − | 0.518394i | ||||||
\(310\) | 3.26791 | − | 7.74363i | 0.185605 | − | 0.439808i | ||||
\(311\) | 13.7812 | − | 10.0126i | 0.781461 | − | 0.567765i | −0.123956 | − | 0.992288i | \(-0.539558\pi\) |
0.905417 | + | 0.424523i | \(0.139558\pi\) | |||||||
\(312\) | 5.67649 | − | 0.899067i | 0.321368 | − | 0.0508997i | ||||
\(313\) | −7.16333 | + | 14.0588i | −0.404895 | + | 0.794651i | −0.999959 | − | 0.00902676i | \(-0.997127\pi\) |
0.595064 | + | 0.803678i | \(0.297127\pi\) | |||||||
\(314\) | −4.69971 | − | 14.4642i | −0.265220 | − | 0.816263i | ||||
\(315\) | 17.6256 | − | 20.3617i | 0.993093 | − | 1.14725i | ||||
\(316\) | 3.34764 | + | 4.60764i | 0.188320 | + | 0.259200i | ||||
\(317\) | 3.01302 | + | 5.91339i | 0.169228 | + | 0.332129i | 0.960008 | − | 0.279971i | \(-0.0903249\pi\) |
−0.790780 | + | 0.612100i | \(0.790325\pi\) | |||||||
\(318\) | 9.56636 | − | 9.56636i | 0.536455 | − | 0.536455i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −12.8152 | − | 15.2080i | −0.716393 | − | 0.850153i | ||||
\(321\) | −15.9610 | − | 5.18604i | −0.890856 | − | 0.289457i | ||||
\(322\) | −4.09276 | + | 25.8407i | −0.228081 | + | 1.44004i | ||||
\(323\) | 0.303729 | + | 1.91767i | 0.0168999 | + | 0.106702i | ||||
\(324\) | 3.26537 | − | 1.06098i | 0.181409 | − | 0.0589435i | ||||
\(325\) | 2.21315 | − | 2.96261i | 0.122764 | − | 0.164336i | ||||
\(326\) | 7.06053 | − | 9.71798i | 0.391046 | − | 0.538229i | ||||
\(327\) | 18.1324 | + | 2.87190i | 1.00273 | + | 0.158816i | ||||
\(328\) | −2.77680 | + | 1.41485i | −0.153323 | + | 0.0781221i | ||||
\(329\) | 3.76424 | 0.207529 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.0774 | 0.663835 | 0.331918 | − | 0.943308i | \(-0.392304\pi\) | ||||
0.331918 | + | 0.943308i | \(0.392304\pi\) | |||||||
\(332\) | 6.66319 | − | 3.39506i | 0.365690 | − | 0.186328i | ||||
\(333\) | −7.89126 | − | 1.24985i | −0.432438 | − | 0.0684915i | ||||
\(334\) | −8.25355 | + | 11.3600i | −0.451614 | + | 0.621594i | ||||
\(335\) | −28.9313 | + | 6.74295i | −1.58068 | + | 0.368407i | ||||
\(336\) | 23.9097 | − | 7.76873i | 1.30438 | − | 0.423819i | ||||
\(337\) | 1.52334 | + | 9.61797i | 0.0829815 | + | 0.523924i | 0.993806 | + | 0.111130i | \(0.0354471\pi\) |
−0.910824 | + | 0.412794i | \(0.864553\pi\) | |||||||
\(338\) | 2.41234 | − | 15.2309i | 0.131214 | − | 0.828453i | ||||
\(339\) | 10.2186 | + | 3.32022i | 0.554997 | + | 0.180330i | ||||
\(340\) | −0.0547883 | + | 0.641659i | −0.00297131 | + | 0.0347988i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −9.56405 | + | 9.56405i | −0.517165 | + | 0.517165i | ||||
\(343\) | −3.10396 | − | 6.09186i | −0.167598 | − | 0.328929i | ||||
\(344\) | −10.3460 | − | 14.2401i | −0.557820 | − | 0.767774i | ||||
\(345\) | −2.48958 | − | 34.5655i | −0.134035 | − | 1.86095i | ||||
\(346\) | 1.75784 | + | 5.41008i | 0.0945021 | + | 0.290848i | ||||
\(347\) | 11.0499 | − | 21.6867i | 0.593192 | − | 1.16420i | −0.377978 | − | 0.925815i | \(-0.623380\pi\) |
0.971170 | − | 0.238390i | \(-0.0766196\pi\) | |||||||
\(348\) | −3.40071 | + | 0.538620i | −0.182297 | + | 0.0288731i | ||||
\(349\) | 15.2336 | − | 11.0678i | 0.815434 | − | 0.592448i | −0.0999667 | − | 0.994991i | \(-0.531874\pi\) |
0.915401 | + | 0.402543i | \(0.131874\pi\) | |||||||
\(350\) | 10.0021 | − | 19.0023i | 0.534637 | − | 1.01571i | ||||
\(351\) | − | 0.889241i | − | 0.0474642i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −5.39206 | − | 5.39206i | −0.286990 | − | 0.286990i | 0.548899 | − | 0.835889i | \(-0.315047\pi\) |
−0.835889 | + | 0.548899i | \(0.815047\pi\) | |||||||
\(354\) | 7.20615 | − | 22.1782i | 0.383003 | − | 1.17876i | ||||
\(355\) | −1.93880 | + | 7.84585i | −0.102901 | + | 0.416414i | ||||
\(356\) | 5.54235 | + | 4.02675i | 0.293744 | + | 0.213417i | ||||
\(357\) | −4.85301 | − | 2.47273i | −0.256849 | − | 0.130871i | ||||
\(358\) | 3.03508 | + | 1.54645i | 0.160409 | + | 0.0817323i | ||||
\(359\) | 12.3940 | + | 9.00475i | 0.654129 | + | 0.475253i | 0.864675 | − | 0.502331i | \(-0.167524\pi\) |
−0.210546 | + | 0.977584i | \(0.567524\pi\) | |||||||
\(360\) | −20.3041 | + | 12.2577i | −1.07012 | + | 0.646037i | ||||
\(361\) | −2.81412 | + | 8.66097i | −0.148112 | + | 0.455841i | ||||
\(362\) | −6.25911 | − | 6.25911i | −0.328971 | − | 0.328971i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | − | 1.19679i | − | 0.0627289i | ||||||
\(365\) | −1.10761 | − | 0.467427i | −0.0579751 | − | 0.0244662i | ||||
\(366\) | 9.55165 | − | 6.93968i | 0.499273 | − | 0.362743i | ||||
\(367\) | −2.27206 | + | 0.359859i | −0.118601 | + | 0.0187845i | −0.215453 | − | 0.976514i | \(-0.569123\pi\) |
0.0968520 | + | 0.995299i | \(0.469123\pi\) | |||||||
\(368\) | 7.87970 | − | 15.4648i | 0.410758 | − | 0.806157i | ||||
\(369\) | 1.09490 | + | 3.36976i | 0.0569982 | + | 0.175423i | ||||
\(370\) | −6.35428 | + | 0.457667i | −0.330343 | + | 0.0237930i | ||||
\(371\) | −8.75422 | − | 12.0492i | −0.454497 | − | 0.625561i | ||||
\(372\) | 1.63575 | + | 3.21034i | 0.0848097 | + | 0.166448i | ||||
\(373\) | 22.9215 | − | 22.9215i | 1.18683 | − | 1.18683i | 0.208889 | − | 0.977939i | \(-0.433015\pi\) |
0.977939 | − | 0.208889i | \(-0.0669847\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −7.18969 | + | 27.5206i | −0.371274 | + | 1.42116i | ||||
\(376\) | −3.15282 | − | 1.02441i | −0.162594 | − | 0.0528301i | ||||
\(377\) | 0.335602 | − | 2.11891i | 0.0172844 | − | 0.109129i | ||||
\(378\) | −0.807789 | − | 5.10018i | −0.0415482 | − | 0.262325i | ||||
\(379\) | 10.7802 | − | 3.50269i | 0.553740 | − | 0.179921i | −0.0187623 | − | 0.999824i | \(-0.505973\pi\) |
0.572503 | + | 0.819903i | \(0.305973\pi\) | |||||||
\(380\) | 1.73311 | − | 2.78648i | 0.0889065 | − | 0.142943i | ||||
\(381\) | −19.4178 | + | 26.7263i | −0.994805 | + | 1.36923i | ||||
\(382\) | 4.26112 | + | 0.674895i | 0.218018 | + | 0.0345306i | ||||
\(383\) | 1.25676 | − | 0.640349i | 0.0642172 | − | 0.0327203i | −0.421587 | − | 0.906788i | \(-0.638527\pi\) |
0.485804 | + | 0.874068i | \(0.338527\pi\) | |||||||
\(384\) | −14.8892 | −0.759810 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 13.4524 | 0.684708 | ||||||||
\(387\) | −17.8305 | + | 9.08510i | −0.906376 | + | 0.461822i | ||||
\(388\) | −6.61323 | − | 1.04743i | −0.335736 | − | 0.0531753i | ||||
\(389\) | −18.1326 | + | 24.9574i | −0.919360 | + | 1.26539i | 0.0445072 | + | 0.999009i | \(0.485828\pi\) |
−0.963868 | + | 0.266382i | \(0.914172\pi\) | |||||||
\(390\) | −1.18263 | − | 5.07418i | −0.0598847 | − | 0.256941i | ||||
\(391\) | −3.57628 | + | 1.16200i | −0.180860 | + | 0.0587651i | ||||
\(392\) | −2.40276 | − | 15.1704i | −0.121358 | − | 0.766223i | ||||
\(393\) | −6.85983 | + | 43.3112i | −0.346032 | + | 2.18476i | ||||
\(394\) | −18.9419 | − | 6.15461i | −0.954282 | − | 0.310065i | ||||
\(395\) | 20.8729 | − | 17.5888i | 1.05023 | − | 0.884991i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6.24852 | − | 6.24852i | 0.313604 | − | 0.313604i | −0.532700 | − | 0.846304i | \(-0.678823\pi\) |
0.846304 | + | 0.532700i | \(0.178823\pi\) | |||||||
\(398\) | 15.5995 | + | 30.6157i | 0.781930 | + | 1.53462i | ||||
\(399\) | 16.3131 | + | 22.4531i | 0.816678 | + | 1.12406i | ||||
\(400\) | −10.2062 | + | 9.93874i | −0.510312 | + | 0.496937i | ||||
\(401\) | −4.14836 | − | 12.7673i | −0.207159 | − | 0.637570i | −0.999618 | − | 0.0276446i | \(-0.991199\pi\) |
0.792459 | − | 0.609926i | \(-0.208801\pi\) | |||||||
\(402\) | −19.0015 | + | 37.2925i | −0.947706 | + | 1.85998i | ||||
\(403\) | −2.21734 | + | 0.351192i | −0.110454 | + | 0.0174941i | ||||
\(404\) | −3.04473 | + | 2.21213i | −0.151481 | + | 0.110057i | ||||
\(405\) | −6.19598 | − | 15.2439i | −0.307881 | − | 0.757474i | ||||
\(406\) | − | 12.4577i | − | 0.618266i | ||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 3.39181 | + | 3.39181i | 0.167920 | + | 0.167920i | ||||
\(409\) | 0.385284 | − | 1.18578i | 0.0190511 | − | 0.0586332i | −0.941079 | − | 0.338187i | \(-0.890186\pi\) |
0.960130 | + | 0.279554i | \(0.0901864\pi\) | |||||||
\(410\) | 1.46016 | + | 2.41866i | 0.0721122 | + | 0.119449i | ||||
\(411\) | 11.8385 | + | 8.60117i | 0.583950 | + | 0.424264i | ||||
\(412\) | 1.48900 | + | 0.758684i | 0.0733578 | + | 0.0373777i | ||||
\(413\) | −22.8738 | − | 11.6548i | −1.12555 | − | 0.573495i | ||||
\(414\) | −21.1927 | − | 15.3974i | −1.04156 | − | 0.756741i | ||||
\(415\) | −18.5232 | − | 30.6826i | −0.909270 | − | 1.50615i | ||||
\(416\) | −0.589791 | + | 1.81519i | −0.0289169 | + | 0.0889970i | ||||
\(417\) | −23.0555 | − | 23.0555i | −1.12903 | − | 1.12903i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 20.5995i | − | 1.00635i | −0.864185 | − | 0.503175i | \(-0.832165\pi\) | ||
0.864185 | − | 0.503175i | \(-0.167835\pi\) | |||||||
\(420\) | 3.46625 | + | 8.52796i | 0.169136 | + | 0.416122i | ||||
\(421\) | 6.41888 | − | 4.66359i | 0.312837 | − | 0.227290i | −0.420276 | − | 0.907396i | \(-0.638067\pi\) |
0.733113 | + | 0.680107i | \(0.238067\pi\) | |||||||
\(422\) | 25.1714 | − | 3.98675i | 1.22532 | − | 0.194072i | ||||
\(423\) | −1.71107 | + | 3.35817i | −0.0831952 | + | 0.163280i | ||||
\(424\) | 4.05320 | + | 12.4745i | 0.196841 | + | 0.605814i | ||||
\(425\) | 3.08613 | + | 0.0409799i | 0.149699 | + | 0.00198782i | ||||
\(426\) | 6.69293 | + | 9.21202i | 0.324273 | + | 0.446324i | ||||
\(427\) | −5.90072 | − | 11.5808i | −0.285556 | − | 0.560435i | ||||
\(428\) | 2.17627 | − | 2.17627i | 0.105194 | − | 0.105194i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −12.2022 | + | 10.2824i | −0.588443 | + | 0.495859i | ||||
\(431\) | −28.3532 | − | 9.21253i | −1.36573 | − | 0.443752i | −0.467776 | − | 0.883847i | \(-0.654945\pi\) |
−0.897951 | + | 0.440095i | \(0.854945\pi\) | |||||||
\(432\) | −0.535891 | + | 3.38348i | −0.0257831 | + | 0.162788i | ||||
\(433\) | 1.60810 | + | 10.1532i | 0.0772806 | + | 0.487930i | 0.995724 | + | 0.0923781i | \(0.0294468\pi\) |
−0.918443 | + | 0.395552i | \(0.870553\pi\) | |||||||
\(434\) | −12.3984 | + | 4.02847i | −0.595141 | + | 0.193373i | ||||
\(435\) | 3.74557 | + | 16.0707i | 0.179586 | + | 0.770531i | ||||
\(436\) | −1.97893 | + | 2.72376i | −0.0947734 | + | 0.130444i | ||||
\(437\) | 18.9249 | + | 2.99741i | 0.905300 | + | 0.143386i | ||||
\(438\) | −1.50919 | + | 0.768973i | −0.0721121 | + | 0.0367430i | ||||
\(439\) | −30.3973 | −1.45078 | −0.725392 | − | 0.688336i | \(-0.758341\pi\) | ||||
−0.725392 | + | 0.688336i | \(0.758341\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −17.4625 | −0.831548 | ||||||||
\(442\) | −0.503723 | + | 0.256660i | −0.0239596 | + | 0.0122080i | ||||
\(443\) | 11.0949 | + | 1.75726i | 0.527135 | + | 0.0834900i | 0.414329 | − | 0.910127i | \(-0.364016\pi\) |
0.112806 | + | 0.993617i | \(0.464016\pi\) | |||||||
\(444\) | 1.60526 | − | 2.20945i | 0.0761821 | − | 0.104856i | ||||
\(445\) | 17.3405 | − | 27.8800i | 0.822020 | − | 1.32164i | ||||
\(446\) | 9.43673 | − | 3.06618i | 0.446842 | − | 0.145188i | ||||
\(447\) | 7.63291 | + | 48.1923i | 0.361024 | + | 2.27942i | ||||
\(448\) | −4.82544 | + | 30.4666i | −0.227980 | + | 1.43941i | ||||
\(449\) | −18.5837 | − | 6.03822i | −0.877021 | − | 0.284961i | −0.164301 | − | 0.986410i | \(-0.552537\pi\) |
−0.712720 | + | 0.701449i | \(0.752537\pi\) | |||||||
\(450\) | 12.4058 | + | 17.5608i | 0.584816 | + | 0.827826i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −1.39330 | + | 1.39330i | −0.0655353 | + | 0.0655353i | ||||
\(453\) | 21.8559 | + | 42.8947i | 1.02688 | + | 2.01537i | ||||
\(454\) | 2.25553 | + | 3.10447i | 0.105857 | + | 0.145700i | ||||
\(455\) | −5.72092 | + | 0.412049i | −0.268201 | + | 0.0193172i | ||||
\(456\) | −7.55297 | − | 23.2456i | −0.353700 | − | 1.08858i | ||||
\(457\) | −5.34479 | + | 10.4897i | −0.250019 | + | 0.490690i | −0.981571 | − | 0.191095i | \(-0.938796\pi\) |
0.731553 | + | 0.681785i | \(0.238796\pi\) | |||||||
\(458\) | −18.0047 | + | 2.85166i | −0.841302 | + | 0.133249i | ||||
\(459\) | 0.600433 | − | 0.436240i | 0.0280258 | − | 0.0203619i | ||||
\(460\) | 5.85533 | + | 2.47103i | 0.273006 | + | 0.115212i | ||||
\(461\) | 26.5631i | 1.23717i | 0.785719 | + | 0.618583i | \(0.212293\pi\) | ||||
−0.785719 | + | 0.618583i | \(0.787707\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −14.4258 | − | 14.4258i | −0.670424 | − | 0.670424i | 0.287390 | − | 0.957814i | \(-0.407213\pi\) |
−0.957814 | + | 0.287390i | \(0.907213\pi\) | |||||||
\(464\) | −2.55387 | + | 7.86001i | −0.118561 | + | 0.364892i | ||||
\(465\) | 14.7829 | − | 8.92454i | 0.685542 | − | 0.413866i | ||||
\(466\) | −13.9707 | − | 10.1503i | −0.647182 | − | 0.470206i | ||||
\(467\) | −16.6421 | − | 8.47955i | −0.770102 | − | 0.392387i | 0.0243575 | − | 0.999703i | \(-0.492246\pi\) |
−0.794460 | + | 0.607316i | \(0.792246\pi\) | |||||||
\(468\) | 1.06769 | + | 0.544014i | 0.0493538 | + | 0.0251470i | ||||
\(469\) | 37.2765 | + | 27.0830i | 1.72127 | + | 1.25057i | ||||
\(470\) | −0.720955 | + | 2.91752i | −0.0332552 | + | 0.134575i | ||||
\(471\) | 9.65556 | − | 29.7168i | 0.444905 | − | 1.36928i | ||||
\(472\) | 15.9867 | + | 15.9867i | 0.735849 | + | 0.735849i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | − | 38.4572i | − | 1.76640i | ||||||
\(475\) | −13.9167 | − | 7.32525i | −0.638540 | − | 0.336106i | ||||
\(476\) | 0.808096 | − | 0.587116i | 0.0370390 | − | 0.0269104i | ||||
\(477\) | 14.7287 | − | 2.33279i | 0.674380 | − | 0.106811i | ||||
\(478\) | −1.80903 | + | 3.55042i | −0.0827431 | + | 0.162392i | ||||
\(479\) | −2.25319 | − | 6.93461i | −0.102951 | − | 0.316851i | 0.886293 | − | 0.463125i | \(-0.153272\pi\) |
−0.989244 | + | 0.146274i | \(0.953272\pi\) | |||||||
\(480\) | −1.05464 | − | 14.6427i | −0.0481375 | − | 0.668344i | ||||
\(481\) | 1.00020 | + | 1.37666i | 0.0456052 | + | 0.0627702i | ||||
\(482\) | 8.47426 | + | 16.6317i | 0.385992 | + | 0.757552i | ||||
\(483\) | −38.0080 | + | 38.0080i | −1.72943 | + | 1.72943i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −2.73005 | + | 31.9733i | −0.123965 | + | 1.45183i | ||||
\(486\) | −26.2970 | − | 8.54443i | −1.19286 | − | 0.387583i | ||||
\(487\) | −4.27267 | + | 26.9766i | −0.193613 | + | 1.22243i | 0.679046 | + | 0.734096i | \(0.262394\pi\) |
−0.872659 | + | 0.488330i | \(0.837606\pi\) | |||||||
\(488\) | 1.79064 | + | 11.3056i | 0.0810582 | + | 0.511782i | ||||
\(489\) | 23.4710 | − | 7.62619i | 1.06139 | − | 0.344868i | ||||
\(490\) | −13.5608 | + | 3.16058i | −0.612612 | + | 0.142780i | ||||
\(491\) | 9.04456 | − | 12.4488i | 0.408175 | − | 0.561805i | −0.554597 | − | 0.832119i | \(-0.687128\pi\) |
0.962772 | + | 0.270314i | \(0.0871275\pi\) | |||||||
\(492\) | −1.19622 | − | 0.189463i | −0.0539298 | − | 0.00854165i | ||||
\(493\) | 1.59537 | − | 0.812880i | 0.0718517 | − | 0.0366103i | ||||
\(494\) | 2.88070 | 0.129609 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 8.64843 | 0.388326 | ||||||||
\(497\) | 11.1690 | − | 5.69090i | 0.500999 | − | 0.255272i | ||||
\(498\) | −49.8745 | − | 7.89935i | −2.23493 | − | 0.353978i | ||||
\(499\) | −1.34768 | + | 1.85492i | −0.0603305 | + | 0.0830378i | −0.838116 | − | 0.545492i | \(-0.816343\pi\) |
0.777786 | + | 0.628530i | \(0.216343\pi\) | |||||||
\(500\) | −3.89831 | − | 3.46609i | −0.174338 | − | 0.155008i | ||||
\(501\) | −27.4369 | + | 8.91479i | −1.22579 | + | 0.398283i | ||||
\(502\) | 0.388083 | + | 2.45026i | 0.0173210 | + | 0.109360i | ||||
\(503\) | −4.09842 | + | 25.8764i | −0.182740 | + | 1.15377i | 0.710335 | + | 0.703864i | \(0.248544\pi\) |
−0.893075 | + | 0.449909i | \(0.851456\pi\) | |||||||
\(504\) | 34.9860 | + | 11.3676i | 1.55840 | + | 0.506355i | ||||
\(505\) | 11.6227 | + | 13.7929i | 0.517205 | + | 0.613774i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 22.4026 | − | 22.4026i | 0.994933 | − | 0.994933i | ||||
\(508\) | −2.75045 | − | 5.39806i | −0.122031 | − | 0.239500i | ||||
\(509\) | 17.2271 | + | 23.7111i | 0.763580 | + | 1.05098i | 0.996908 | + | 0.0785793i | \(0.0250384\pi\) |
−0.233328 | + | 0.972398i | \(0.574962\pi\) | |||||||
\(510\) | 2.84601 | − | 3.28780i | 0.126024 | − | 0.145586i | ||||
\(511\) | 0.576214 | + | 1.77340i | 0.0254902 | + | 0.0784508i | ||||
\(512\) | 11.2397 | − | 22.0592i | 0.496731 | − | 0.974889i | ||||
\(513\) | −3.73521 | + | 0.591599i | −0.164914 | + | 0.0261197i | ||||
\(514\) | −3.81741 | + | 2.77351i | −0.168379 | + | 0.122334i | ||||
\(515\) | 3.11402 | − | 7.37896i | 0.137220 | − | 0.325156i | ||||
\(516\) | − | 6.84042i | − | 0.301133i | ||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 6.98713 | + | 6.98713i | 0.306997 | + | 0.306997i | ||||
\(519\) | −3.61149 | + | 11.1150i | −0.158527 | + | 0.487895i | ||||
\(520\) | 4.90382 | + | 1.21179i | 0.215047 | + | 0.0531406i | ||||
\(521\) | −35.9304 | − | 26.1049i | −1.57414 | − | 1.14368i | −0.923053 | − | 0.384673i | \(-0.874314\pi\) |
−0.651085 | − | 0.759005i | \(-0.725686\pi\) | |||||||
\(522\) | 11.1138 | + | 5.66278i | 0.486439 | + | 0.247853i | ||||
\(523\) | −23.7758 | − | 12.1144i | −1.03964 | − | 0.529725i | −0.151101 | − | 0.988518i | \(-0.548282\pi\) |
−0.888543 | + | 0.458793i | \(0.848282\pi\) | |||||||
\(524\) | −6.50599 | − | 4.72688i | −0.284215 | − | 0.206495i | ||||
\(525\) | 39.5721 | − | 19.5055i | 1.72707 | − | 0.851292i | ||||
\(526\) | 0.0668402 | − | 0.205713i | 0.00291437 | − | 0.00896951i | ||||
\(527\) | −1.32491 | − | 1.32491i | −0.0577138 | − | 0.0577138i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 14.1095i | 0.613457i | ||||||||
\(530\) | 11.0155 | − | 4.47734i | 0.478485 | − | 0.194483i | ||||
\(531\) | 20.7951 | − | 15.1085i | 0.902430 | − | 0.655654i | ||||
\(532\) | −5.02705 | + | 0.796207i | −0.217950 | + | 0.0345200i | ||||
\(533\) | 0.342595 | − | 0.672380i | 0.0148394 | − | 0.0291240i | ||||
\(534\) | −14.2947 | − | 43.9947i | −0.618593 | − | 1.90383i | ||||
\(535\) | −11.1523 | − | 9.65378i | −0.482158 | − | 0.417369i | ||||
\(536\) | −23.8513 | − | 32.8285i | −1.03022 | − | 1.41798i | ||||
\(537\) | 3.17718 | + | 6.23557i | 0.137105 | + | 0.269085i | ||||
\(538\) | −6.06393 | + | 6.06393i | −0.261435 | + | 0.261435i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −1.24982 | − | 0.106716i | −0.0537835 | − | 0.00459232i | ||||
\(541\) | 38.3849 | + | 12.4720i | 1.65030 | + | 0.536214i | 0.978804 | − | 0.204798i | \(-0.0656539\pi\) |
0.671492 | + | 0.741012i | \(0.265654\pi\) | |||||||
\(542\) | 4.42853 | − | 27.9607i | 0.190222 | − | 1.20101i | ||||
\(543\) | −2.84490 | − | 17.9620i | −0.122086 | − | 0.770822i | ||||
\(544\) | −1.51499 | + | 0.492250i | −0.0649546 | + | 0.0211050i | ||||
\(545\) | 13.7015 | + | 8.52192i | 0.586908 | + | 0.365039i | ||||
\(546\) | −4.75001 | + | 6.53783i | −0.203282 | + | 0.279793i | ||||
\(547\) | −36.1217 | − | 5.72112i | −1.54445 | − | 0.244617i | −0.674695 | − | 0.738097i | \(-0.735725\pi\) |
−0.869758 | + | 0.493479i | \(0.835725\pi\) | |||||||
\(548\) | −2.39108 | + | 1.21832i | −0.102142 | + | 0.0520439i | ||||
\(549\) | 13.0138 | 0.555414 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −9.12363 | −0.388680 | ||||||||
\(552\) | 42.1782 | − | 21.4909i | 1.79522 | − | 0.914712i | ||||
\(553\) | −41.8153 | − | 6.62289i | −1.77817 | − | 0.281634i | ||||
\(554\) | 2.69771 | − | 3.71308i | 0.114615 | − | 0.157754i | ||||
\(555\) | −11.1143 | − | 6.91277i | −0.471776 | − | 0.293431i | ||||
\(556\) | 5.68683 | − | 1.84776i | 0.241175 | − | 0.0783625i | ||||
\(557\) | −5.08481 | − | 32.1043i | −0.215451 | − | 1.36030i | −0.823912 | − | 0.566718i | \(-0.808213\pi\) |
0.608462 | − | 0.793583i | \(-0.291787\pi\) | |||||||
\(558\) | 2.04191 | − | 12.8921i | 0.0864407 | − | 0.545765i | ||||
\(559\) | 4.05351 | + | 1.31707i | 0.171445 | + | 0.0557059i | ||||
\(560\) | 22.0159 | + | 1.87984i | 0.930342 | + | 0.0794376i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −2.81320 | + | 2.81320i | −0.118667 | + | 0.118667i | ||||
\(563\) | 1.30823 | + | 2.56754i | 0.0551351 | + | 0.108209i | 0.916930 | − | 0.399048i | \(-0.130659\pi\) |
−0.861795 | + | 0.507257i | \(0.830659\pi\) | |||||||
\(564\) | −0.757251 | − | 1.04227i | −0.0318860 | − | 0.0438873i | ||||
\(565\) | 7.13998 | + | 6.18056i | 0.300381 | + | 0.260018i | ||||
\(566\) | −8.09514 | − | 24.9143i | −0.340264 | − | 1.04722i | ||||
\(567\) | −11.5869 | + | 22.7406i | −0.486604 | + | 0.955015i | ||||
\(568\) | −10.9036 | + | 1.72697i | −0.457506 | + | 0.0724618i | ||||
\(569\) | −0.151872 | + | 0.110341i | −0.00636679 | + | 0.00462575i | −0.590964 | − | 0.806698i | \(-0.701253\pi\) |
0.584597 | + | 0.811324i | \(0.301253\pi\) | |||||||
\(570\) | −20.5270 | + | 8.34334i | −0.859782 | + | 0.349464i | ||||
\(571\) | − | 46.3235i | − | 1.93858i | −0.245922 | − | 0.969290i | \(-0.579091\pi\) | ||
0.245922 | − | 0.969290i | \(-0.420909\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 6.26752 | + | 6.26752i | 0.261829 | + | 0.261829i | ||||
\(574\) | 1.35414 | − | 4.16760i | 0.0565205 | − | 0.173952i | ||||
\(575\) | 9.79608 | − | 28.8405i | 0.408525 | − | 1.20273i | ||||
\(576\) | −24.9866 | − | 18.1538i | −1.04111 | − | 0.756409i | ||||
\(577\) | −16.5846 | − | 8.45025i | −0.690424 | − | 0.351789i | 0.0733193 | − | 0.997309i | \(-0.476641\pi\) |
−0.763744 | + | 0.645520i | \(0.776641\pi\) | |||||||
\(578\) | 18.3365 | + | 9.34293i | 0.762699 | + | 0.388615i | ||||
\(579\) | 22.3596 | + | 16.2452i | 0.929232 | + | 0.675126i | ||||
\(580\) | −2.93782 | − | 0.725969i | −0.121986 | − | 0.0301442i | ||||
\(581\) | −17.1782 | + | 52.8692i | −0.712673 | + | 2.19338i | ||||
\(582\) | 31.9695 | + | 31.9695i | 1.32518 | + | 1.32518i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | − | 1.64217i | − | 0.0679535i | ||||||
\(585\) | 2.23290 | − | 5.29107i | 0.0923192 | − | 0.218759i | ||||
\(586\) | 28.7451 | − | 20.8845i | 1.18745 | − | 0.862731i | ||||
\(587\) | −23.5088 | + | 3.72343i | −0.970313 | + | 0.153683i | −0.621418 | − | 0.783479i | \(-0.713443\pi\) |
−0.348895 | + | 0.937162i | \(0.613443\pi\) | |||||||
\(588\) | 2.70990 | − | 5.31847i | 0.111754 | − | 0.219330i | ||||
\(589\) | 2.95033 | + | 9.08018i | 0.121566 | + | 0.374142i | ||||
\(590\) | 13.4142 | − | 15.4965i | 0.552254 | − | 0.637980i | ||||
\(591\) | −24.0516 | − | 33.1042i | −0.989350 | − | 1.36172i | ||||
\(592\) | −2.97605 | − | 5.84082i | −0.122315 | − | 0.240056i | ||||
\(593\) | −24.6819 | + | 24.6819i | −1.01356 | + | 1.01356i | −0.0136582 | + | 0.999907i | \(0.504348\pi\) |
−0.999907 | + | 0.0136582i | \(0.995652\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.08477 | − | 3.66073i | −0.126463 | − | 0.150075i | ||||
\(596\) | −8.51019 | − | 2.76513i | −0.348591 | − | 0.113264i | ||||
\(597\) | −11.0434 | + | 69.7251i | −0.451975 | + | 2.85366i | ||||
\(598\) | 0.872776 | + | 5.51049i | 0.0356905 | + | 0.225341i | ||||
\(599\) | −11.4862 | + | 3.73210i | −0.469315 | + | 0.152490i | −0.534121 | − | 0.845408i | \(-0.679357\pi\) |
0.0648060 | + | 0.997898i | \(0.479357\pi\) | |||||||
\(600\) | −38.4528 | + | 5.56802i | −1.56983 | + | 0.227313i | ||||
\(601\) | −10.1245 | + | 13.9352i | −0.412986 | + | 0.568427i | −0.963944 | − | 0.266107i | \(-0.914263\pi\) |
0.550957 | + | 0.834533i | \(0.314263\pi\) | |||||||
\(602\) | 24.4450 | + | 3.87171i | 0.996305 | + | 0.157799i | ||||
\(603\) | −41.1058 | + | 20.9444i | −1.67396 | + | 0.852924i | ||||
\(604\) | −8.82871 | −0.359235 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 25.4126 | 1.03232 | ||||||||
\(607\) | 7.58037 | − | 3.86239i | 0.307678 | − | 0.156770i | −0.293334 | − | 0.956010i | \(-0.594765\pi\) |
0.601011 | + | 0.799241i | \(0.294765\pi\) | |||||||
\(608\) | 8.01698 | + | 1.26977i | 0.325132 | + | 0.0514958i | ||||
\(609\) | 15.0440 | − | 20.7063i | 0.609614 | − | 0.839061i | ||||
\(610\) | 10.1060 | − | 2.35539i | 0.409181 | − | 0.0953671i | ||||
\(611\) | 0.763431 | − | 0.248054i | 0.0308851 | − | 0.0100352i | ||||
\(612\) | 0.156453 | + | 0.987803i | 0.00632422 | + | 0.0399296i | ||||
\(613\) | 5.08373 | − | 32.0974i | 0.205330 | − | 1.29640i | −0.642562 | − | 0.766234i | \(-0.722128\pi\) |
0.847892 | − | 0.530169i | \(-0.177872\pi\) | |||||||
\(614\) | 21.9397 | + | 7.12863i | 0.885413 | + | 0.287688i | ||||
\(615\) | −0.493820 | + | 5.78343i | −0.0199128 | + | 0.233210i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −22.2515 | + | 22.2515i | −0.895812 | + | 0.895812i | −0.995062 | − | 0.0992505i | \(-0.968355\pi\) |
0.0992505 | + | 0.995062i | \(0.468355\pi\) | |||||||
\(618\) | −5.12293 | − | 10.0543i | −0.206075 | − | 0.404444i | ||||
\(619\) | −16.4164 | − | 22.5953i | −0.659832 | − | 0.908180i | 0.339644 | − | 0.940554i | \(-0.389693\pi\) |
−0.999476 | + | 0.0323737i | \(0.989693\pi\) | |||||||
\(620\) | 0.227497 | + | 3.15858i | 0.00913650 | + | 0.126852i | ||||
\(621\) | −2.26334 | − | 6.96583i | −0.0908246 | − | 0.279529i | ||||
\(622\) | 9.57655 | − | 18.7950i | 0.383985 | − | 0.753612i | ||||
\(623\) | −50.2980 | + | 7.96642i | −2.01515 | + | 0.319168i | ||||
\(624\) | 4.33723 | − | 3.15118i | 0.173628 | − | 0.126148i | ||||
\(625\) | −15.2265 | + | 19.8281i | −0.609060 | + | 0.793124i | ||||
\(626\) | 19.5389i | 0.780932i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 4.05187 | + | 4.05187i | 0.161687 | + | 0.161687i | ||||
\(629\) | −0.438872 | + | 1.35071i | −0.0174990 | + | 0.0538563i | ||||
\(630\) | 8.00023 | − | 32.3749i | 0.318737 | − | 1.28985i | ||||
\(631\) | 23.4229 | + | 17.0177i | 0.932450 | + | 0.677465i | 0.946591 | − | 0.322435i | \(-0.104501\pi\) |
−0.0141414 | + | 0.999900i | \(0.504501\pi\) | |||||||
\(632\) | 33.2210 | + | 16.9269i | 1.32146 | + | 0.673318i | ||||
\(633\) | 46.6524 | + | 23.7706i | 1.85427 | + | 0.944797i | ||||
\(634\) | 6.64884 | + | 4.83066i | 0.264059 | + | 0.191850i | ||||
\(635\) | −24.8569 | + | 15.0063i | −0.986417 | + | 0.595505i | ||||
\(636\) | −1.57516 | + | 4.84785i | −0.0624593 | + | 0.192230i | ||||
\(637\) | 2.62986 | + | 2.62986i | 0.104199 | + | 0.104199i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 12.5510i | 0.496511i | ||||||||
\(640\) | −12.0566 | − | 5.08806i | −0.476581 | − | 0.201123i | ||||
\(641\) | −34.3068 | + | 24.9253i | −1.35504 | + | 0.984491i | −0.356293 | + | 0.934374i | \(0.615959\pi\) |
−0.998743 | + | 0.0501167i | \(0.984041\pi\) | |||||||
\(642\) | −20.5261 | + | 3.25101i | −0.810100 | + | 0.128307i | ||||
\(643\) | 1.36977 | − | 2.68833i | 0.0540185 | − | 0.106017i | −0.862419 | − | 0.506195i | \(-0.831052\pi\) |
0.916438 | + | 0.400178i | \(0.131052\pi\) | |||||||
\(644\) | −3.04612 | − | 9.37501i | −0.120034 | − | 0.369427i | ||||
\(645\) | −32.6987 | + | 2.35512i | −1.28751 | + | 0.0927328i | ||||
\(646\) | 1.41320 | + | 1.94511i | 0.0556017 | + | 0.0765292i | ||||
\(647\) | 3.76262 | + | 7.38456i | 0.147924 | + | 0.290317i | 0.953065 | − | 0.302767i | \(-0.0979103\pi\) |
−0.805141 | + | 0.593084i | \(0.797910\pi\) | |||||||
\(648\) | 15.8936 | − | 15.8936i | 0.624360 | − | 0.624360i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 0.776348 | − | 4.51300i | 0.0304509 | − | 0.177014i | ||||
\(651\) | −25.4725 | − | 8.27651i | −0.998345 | − | 0.324382i | ||||
\(652\) | −0.707998 | + | 4.47013i | −0.0277274 | + | 0.175064i | ||||
\(653\) | 2.08465 | + | 13.1620i | 0.0815787 | + | 0.515067i | 0.994312 | + | 0.106511i | \(0.0339678\pi\) |
−0.912733 | + | 0.408557i | \(0.866032\pi\) | |||||||
\(654\) | 21.6210 | − | 7.02508i | 0.845447 | − | 0.274702i | ||||
\(655\) | −20.3555 | + | 32.7275i | −0.795356 | + | 1.27877i | ||||
\(656\) | −1.70875 | + | 2.35189i | −0.0667153 | + | 0.0918258i | ||||
\(657\) | −1.84402 | − | 0.292065i | −0.0719422 | − | 0.0113945i | ||||
\(658\) | 4.15327 | − | 2.11620i | 0.161911 | − | 0.0824979i | ||||
\(659\) | −12.1943 | −0.475023 | −0.237511 | − | 0.971385i | \(-0.576332\pi\) | ||||
−0.237511 | + | 0.971385i | \(0.576332\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.1589 | 0.550718 | 0.275359 | − | 0.961341i | \(-0.411203\pi\) | ||||
0.275359 | + | 0.961341i | \(0.411203\pi\) | |||||||
\(662\) | 13.3256 | − | 6.78975i | 0.517915 | − | 0.263891i | ||||
\(663\) | −1.14719 | − | 0.181698i | −0.0445534 | − | 0.00705656i | ||||
\(664\) | 28.7761 | − | 39.6069i | 1.11673 | − | 1.53704i | ||||
\(665\) | 5.53683 | + | 23.7563i | 0.214709 | + | 0.921229i | ||||
\(666\) | −9.40947 | + | 3.05732i | −0.364609 | + | 0.118469i | ||||
\(667\) | −2.76422 | − | 17.4526i | −0.107031 | − | 0.675766i | ||||
\(668\) | 0.827630 | − | 5.22545i | 0.0320220 | − | 0.202179i | ||||
\(669\) | 19.3878 | + | 6.29947i | 0.749575 | + | 0.243552i | ||||
\(670\) | −28.1305 | + | 23.7046i | −1.08678 | + | 0.915787i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −16.1010 | + | 16.1010i | −0.621110 | + | 0.621110i | ||||
\(673\) | 10.5343 | + | 20.6747i | 0.406067 | + | 0.796952i | 0.999971 | − | 0.00758420i | \(-0.00241415\pi\) |
−0.593904 | + | 0.804536i | \(0.702414\pi\) | |||||||
\(674\) | 7.08785 | + | 9.75559i | 0.273014 | + | 0.375771i | ||||
\(675\) | −0.0798202 | + | 6.01113i | −0.00307228 | + | 0.231368i | ||||
\(676\) | 1.79544 | + | 5.52579i | 0.0690553 | + | 0.212530i | ||||
\(677\) | 16.0179 | − | 31.4369i | 0.615617 | − | 1.20822i | −0.347131 | − | 0.937817i | \(-0.612844\pi\) |
0.962748 | − | 0.270400i | \(-0.0871559\pi\) | |||||||
\(678\) | 13.1413 | − | 2.08137i | 0.504687 | − | 0.0799345i | ||||
\(679\) | 40.2667 | − | 29.2555i | 1.54529 | − | 1.12272i | ||||
\(680\) | 1.58747 | + | 3.90563i | 0.0608767 | + | 0.149774i | ||||
\(681\) | 7.88382i | 0.302109i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −7.64701 | − | 7.64701i | −0.292605 | − | 0.292605i | 0.545504 | − | 0.838108i | \(-0.316338\pi\) |
−0.838108 | + | 0.545504i | \(0.816338\pi\) | |||||||
\(684\) | 1.57478 | − | 4.84668i | 0.0602133 | − | 0.185318i | ||||
\(685\) | 6.64706 | + | 11.0104i | 0.253971 | + | 0.420687i | ||||
\(686\) | −6.84950 | − | 4.97645i | −0.261515 | − | 0.190002i | ||||
\(687\) | −33.3697 | − | 17.0027i | −1.27313 | − | 0.648694i | ||||
\(688\) | −14.6295 | − | 7.45412i | −0.557746 | − | 0.284186i | ||||
\(689\) | −2.56947 | − | 1.86683i | −0.0978890 | − | 0.0711205i | ||||
\(690\) | −22.1791 | − | 36.7383i | −0.844344 | − | 1.39860i | ||||
\(691\) | 9.11894 | − | 28.0652i | 0.346901 | − | 1.06765i | −0.613657 | − | 0.789572i | \(-0.710302\pi\) |
0.960558 | − | 0.278079i | \(-0.0896976\pi\) | |||||||
\(692\) | −1.51553 | − | 1.51553i | −0.0576117 | − | 0.0576117i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 30.1402i | − | 1.14410i | ||||||
\(695\) | −10.7906 | − | 26.5481i | −0.409312 | − | 1.00703i | ||||
\(696\) | −18.2356 | + | 13.2489i | −0.691217 | + | 0.502198i | ||||
\(697\) | 0.622073 | − | 0.0985267i | 0.0235627 | − | 0.00373196i | ||||
\(698\) | 10.5858 | − | 20.7758i | 0.400678 | − | 0.786375i | ||||
\(699\) | −10.9635 | − | 33.7423i | −0.414679 | − | 1.27625i | ||||
\(700\) | −0.107426 | + | 8.09011i | −0.00406034 | + | 0.305777i | ||||
\(701\) | −4.33862 | − | 5.97160i | −0.163867 | − | 0.225544i | 0.719185 | − | 0.694819i | \(-0.244515\pi\) |
−0.883052 | + | 0.469275i | \(0.844515\pi\) | |||||||
\(702\) | −0.499918 | − | 0.981144i | −0.0188682 | − | 0.0370309i | ||||
\(703\) | 5.11715 | − | 5.11715i | 0.192997 | − | 0.192997i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −4.72154 | + | 3.97867i | −0.177823 | + | 0.149845i | ||||
\(706\) | −8.98066 | − | 2.91799i | −0.337992 | − | 0.109820i | ||||
\(707\) | 4.37642 | − | 27.6316i | 0.164592 | − | 1.03919i | ||||
\(708\) | 1.37447 | + | 8.67805i | 0.0516557 | + | 0.326141i | ||||
\(709\) | −46.8212 | + | 15.2131i | −1.75841 | + | 0.571341i | −0.997033 | − | 0.0769719i | \(-0.975475\pi\) |
−0.761374 | + | 0.648313i | \(0.775475\pi\) | |||||||
\(710\) | 2.27164 | + | 9.74668i | 0.0852532 | + | 0.365786i | ||||
\(711\) | 24.9160 | − | 34.2940i | 0.934424 | − | 1.28612i | ||||
\(712\) | 44.2963 | + | 7.01584i | 1.66007 | + | 0.262930i | ||||
\(713\) | −16.4756 | + | 8.39473i | −0.617015 | + | 0.314385i | ||||
\(714\) | −6.74471 | −0.252414 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −1.28342 | −0.0479638 | ||||||||
\(717\) | −7.29435 | + | 3.71666i | −0.272412 | + | 0.138801i | ||||
\(718\) | 18.7372 | + | 2.96769i | 0.699267 | + | 0.110753i | ||||
\(719\) | −3.41704 | + | 4.70315i | −0.127434 | + | 0.175398i | −0.867967 | − | 0.496622i | \(-0.834573\pi\) |
0.740532 | + | 0.672021i | \(0.234573\pi\) | |||||||
\(720\) | −11.6846 | + | 18.7864i | −0.435460 | + | 0.700129i | ||||
\(721\) | −11.8145 | + | 3.83876i | −0.439995 | + | 0.142963i | ||||
\(722\) | 1.76411 | + | 11.1381i | 0.0656533 | + | 0.414519i | ||||
\(723\) | −5.99921 | + | 37.8775i | −0.223113 | + | 1.40868i | ||||
\(724\) | 3.17187 | + | 1.03060i | 0.117882 | + | 0.0383021i | ||||
\(725\) | −2.45881 | + | 14.2934i | −0.0913181 | + | 0.530842i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 20.3755 | − | 20.3755i | 0.755685 | − | 0.755685i | −0.219849 | − | 0.975534i | \(-0.570556\pi\) |
0.975534 | + | 0.219849i | \(0.0705565\pi\) | |||||||
\(728\) | −3.55694 | − | 6.98088i | −0.131829 | − | 0.258729i | ||||
\(729\) | −20.4144 | − | 28.0980i | −0.756089 | − | 1.04067i | ||||
\(730\) | −1.48486 | + | 0.106947i | −0.0549573 | + | 0.00395830i | ||||
\(731\) | 1.09925 | + | 3.38313i | 0.0406571 | + | 0.125130i | ||||
\(732\) | −2.01952 | + | 3.96354i | −0.0746438 | + | 0.146497i | ||||
\(733\) | 23.7224 | − | 3.75725i | 0.876205 | − | 0.138777i | 0.297899 | − | 0.954597i | \(-0.403714\pi\) |
0.578306 | + | 0.815820i | \(0.303714\pi\) | |||||||
\(734\) | −2.30457 | + | 1.67437i | −0.0850632 | + | 0.0618021i | ||||
\(735\) | −26.3564 | − | 11.1228i | −0.972172 | − | 0.410269i | ||||
\(736\) | 15.7204i | 0.579461i | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 3.10248 | + | 3.10248i | 0.114204 | + | 0.114204i | ||||
\(739\) | −6.33611 | + | 19.5005i | −0.233077 | + | 0.717339i | 0.764293 | + | 0.644869i | \(0.223088\pi\) |
−0.997371 | + | 0.0724697i | \(0.976912\pi\) | |||||||
\(740\) | 2.05490 | − | 1.24056i | 0.0755397 | − | 0.0456037i | ||||
\(741\) | 4.78810 | + | 3.47876i | 0.175895 | + | 0.127795i | ||||
\(742\) | −16.4328 | − | 8.37294i | −0.603268 | − | 0.307380i | ||||
\(743\) | 2.48142 | + | 1.26434i | 0.0910343 | + | 0.0463843i | 0.498915 | − | 0.866651i | \(-0.333732\pi\) |
−0.407881 | + | 0.913035i | \(0.633732\pi\) | |||||||
\(744\) | 19.0827 | + | 13.8644i | 0.699605 | + | 0.508293i | ||||
\(745\) | −10.2879 | + | 41.6326i | −0.376919 | + | 1.52530i | ||||
\(746\) | 12.4043 | − | 38.1765i | 0.454153 | − | 1.39774i | ||||
\(747\) | −39.3574 | − | 39.3574i | −1.44001 | − | 1.44001i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 22.8783i | 0.835955i | ||||||||
\(750\) | 7.53891 | + | 34.4068i | 0.275282 | + | 1.25636i | ||||
\(751\) | 3.70291 | − | 2.69033i | 0.135121 | − | 0.0981714i | −0.518171 | − | 0.855277i | \(-0.673387\pi\) |
0.653293 | + | 0.757105i | \(0.273387\pi\) | |||||||
\(752\) | −3.05427 | + | 0.483750i | −0.111378 | + | 0.0176405i | ||||
\(753\) | −2.31390 | + | 4.54129i | −0.0843234 | + | 0.165494i | ||||
\(754\) | −0.820932 | − | 2.52657i | −0.0298966 | − | 0.0920122i | ||||
\(755\) | 3.03968 | + | 42.2031i | 0.110625 | + | 1.53593i | ||||
\(756\) | 1.14358 | + | 1.57400i | 0.0415915 | + | 0.0572458i | ||||
\(757\) | −11.3069 | − | 22.1911i | −0.410957 | − | 0.806548i | 0.589042 | − | 0.808103i | \(-0.299505\pi\) |
−0.999999 | + | 0.00155412i | \(0.999505\pi\) | |||||||
\(758\) | 9.92515 | − | 9.92515i | 0.360498 | − | 0.360498i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.82763 | − | 21.4044i | 0.0662950 | − | 0.776420i | ||||
\(761\) | 33.0432 | + | 10.7364i | 1.19781 | + | 0.389193i | 0.838956 | − | 0.544199i | \(-0.183166\pi\) |
0.358857 | + | 0.933392i | \(0.383166\pi\) | |||||||
\(762\) | −6.39951 | + | 40.4049i | −0.231830 | + | 1.46372i | ||||
\(763\) | −3.91506 | − | 24.7187i | −0.141735 | − | 0.894878i | ||||
\(764\) | −1.54594 | + | 0.502305i | −0.0559300 | + | 0.0181728i | ||||
\(765\) | 4.66804 | − | 1.08797i | 0.168773 | − | 0.0393357i | ||||
\(766\) | 1.02665 | − | 1.41306i | 0.0370943 | − | 0.0510559i | ||||
\(767\) | −5.40710 | − | 0.856401i | −0.195239 | − | 0.0309229i | ||||
\(768\) | 23.8943 | − | 12.1748i | 0.862212 | − | 0.439319i | ||||
\(769\) | 7.47240 | 0.269462 | 0.134731 | − | 0.990882i | \(-0.456983\pi\) | ||||
0.134731 | + | 0.990882i | \(0.456983\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −9.69432 | −0.349133 | ||||||||
\(772\) | −4.51608 | + | 2.30106i | −0.162537 | + | 0.0828168i | ||||
\(773\) | −31.4308 | − | 4.97815i | −1.13049 | − | 0.179052i | −0.436959 | − | 0.899481i | \(-0.643945\pi\) |
−0.693528 | + | 0.720430i | \(0.743945\pi\) | |||||||
\(774\) | −14.5658 | + | 20.0481i | −0.523557 | + | 0.720614i | ||||
\(775\) | 15.0204 | − | 2.17497i | 0.539548 | − | 0.0781272i | ||||
\(776\) | −41.6880 | + | 13.5453i | −1.49651 | + | 0.486247i | ||||
\(777\) | 3.17580 | + | 20.0512i | 0.113931 | + | 0.719333i | ||||
\(778\) | −5.97595 | + | 37.7306i | −0.214248 | + | 1.35271i | ||||
\(779\) | −3.05222 | − | 0.991726i | −0.109357 | − | 0.0355323i | ||||
\(780\) | 1.26497 | + | 1.50115i | 0.0452931 | + | 0.0537499i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −3.29263 | + | 3.29263i | −0.117744 | + | 0.117744i | ||||
\(783\) | 1.58332 | + | 3.10743i | 0.0565831 | + | 0.111051i | ||||
\(784\) | −8.42154 | − | 11.5913i | −0.300769 | − | 0.413974i | ||||
\(785\) | 17.9738 | − | 20.7638i | 0.641511 | − | 0.741093i | ||||
\(786\) | 16.7801 | + | 51.6439i | 0.598528 | + | 1.84208i | ||||
\(787\) | 5.78709 | − | 11.3578i | 0.206287 | − | 0.404862i | −0.764563 | − | 0.644549i | \(-0.777045\pi\) |
0.970850 | + | 0.239688i | \(0.0770450\pi\) | |||||||
\(788\) | 7.41173 | − | 1.17390i | 0.264032 | − | 0.0418186i | ||||
\(789\) | 0.359517 | − | 0.261204i | 0.0127991 | − | 0.00929912i | ||||
\(790\) | 13.1420 | − | 31.1411i | 0.467570 | − | 1.10795i | ||||
\(791\) | − | 14.6472i | − | 0.520794i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.95988 | − | 1.95988i | −0.0695974 | − | 0.0695974i | ||||
\(794\) | 3.38148 | − | 10.4071i | 0.120004 | − | 0.369335i | ||||
\(795\) | 23.7161 | + | 5.86053i | 0.841124 | + | 0.207852i | ||||
\(796\) | −10.4737 | − | 7.60962i | −0.371232 | − | 0.269716i | ||||
\(797\) | 23.5550 | + | 12.0019i | 0.834362 | + | 0.425128i | 0.818334 | − | 0.574743i | \(-0.194898\pi\) |
0.0160277 | + | 0.999872i | \(0.494898\pi\) | |||||||
\(798\) | 30.6219 | + | 15.6026i | 1.08400 | + | 0.552327i | ||||
\(799\) | 0.542011 | + | 0.393794i | 0.0191750 | + | 0.0139314i | ||||
\(800\) | 4.14983 | − | 12.2174i | 0.146718 | − | 0.431952i | ||||
\(801\) | 15.7564 | − | 48.4933i | 0.556726 | − | 1.71343i | ||||
\(802\) | −11.7547 | − | 11.7547i | −0.415073 | − | 0.415073i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | − | 15.7696i | − | 0.556152i | ||||||
\(805\) | −43.7658 | + | 17.7889i | −1.54254 | + | 0.626976i | ||||
\(806\) | −2.24907 | + | 1.63404i | −0.0792200 | + | 0.0575567i | ||||
\(807\) | −17.4019 | + | 2.75618i | −0.612575 | + | 0.0970223i | ||||
\(808\) | −11.1853 | + | 21.9525i | −0.393499 | + | 0.772286i | ||||
\(809\) | 9.77565 | + | 30.0864i | 0.343694 | + | 1.05778i | 0.962279 | + | 0.272063i | \(0.0877059\pi\) |
−0.618586 | + | 0.785717i | \(0.712294\pi\) | |||||||
\(810\) | −15.4062 | − | 13.3361i | −0.541319 | − | 0.468581i | ||||
\(811\) | 21.1123 | + | 29.0585i | 0.741352 | + | 1.02038i | 0.998540 | + | 0.0540218i | \(0.0172040\pi\) |
−0.257188 | + | 0.966361i | \(0.582796\pi\) | |||||||
\(812\) | 2.13092 | + | 4.18216i | 0.0747805 | + | 0.146765i | ||||
\(813\) | 41.1263 | − | 41.1263i | 1.44236 | − | 1.44236i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 21.6119 | + | 1.84534i | 0.757033 | + | 0.0646396i | ||||
\(816\) | 4.25548 | + | 1.38269i | 0.148971 | + | 0.0484038i | ||||
\(817\) | 2.83552 | − | 17.9028i | 0.0992023 | − | 0.626339i | ||||
\(818\) | −0.241526 | − | 1.52493i | −0.00844476 | − | 0.0533181i | ||||
\(819\) | −8.47157 | + | 2.75258i | −0.296021 | + | 0.0961830i | ||||
\(820\) | −0.903906 | − | 0.562203i | −0.0315658 | − | 0.0196330i | ||||
\(821\) | 15.3322 | − | 21.1030i | 0.535099 | − | 0.736500i | −0.452798 | − | 0.891613i | \(-0.649574\pi\) |
0.987897 | + | 0.155113i | \(0.0495742\pi\) | |||||||
\(822\) | 17.8974 | + | 2.83468i | 0.624245 | + | 0.0988707i | ||||
\(823\) | −35.0517 | + | 17.8597i | −1.22182 | + | 0.622550i | −0.941389 | − | 0.337323i | \(-0.890479\pi\) |
−0.280435 | + | 0.959873i | \(0.590479\pi\) | |||||||
\(824\) | 10.9402 | 0.381120 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −31.7900 | −1.10612 | ||||||||
\(827\) | −47.0611 | + | 23.9789i | −1.63648 | + | 0.833826i | −0.638542 | + | 0.769587i | \(0.720462\pi\) |
−0.997935 | + | 0.0642393i | \(0.979538\pi\) | |||||||
\(828\) | 9.74833 | + | 1.54398i | 0.338778 | + | 0.0536571i | ||||
\(829\) | 4.58456 | − | 6.31010i | 0.159228 | − | 0.219159i | −0.721947 | − | 0.691948i | \(-0.756753\pi\) |
0.881176 | + | 0.472789i | \(0.156753\pi\) | |||||||
\(830\) | −37.6869 | − | 23.4401i | −1.30813 | − | 0.813619i | ||||
\(831\) | 8.96787 | − | 2.91384i | 0.311092 | − | 0.101080i | ||||
\(832\) | 1.02902 | + | 6.49697i | 0.0356748 | + | 0.225242i | ||||
\(833\) | −0.485588 | + | 3.06588i | −0.0168246 | + | 0.106227i | ||||
\(834\) | −38.3997 | − | 12.4768i | −1.32967 | − | 0.432037i | ||||
\(835\) | −25.2637 | − | 2.15715i | −0.874287 | − | 0.0746513i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 2.58063 | − | 2.58063i | 0.0891997 | − | 0.0891997i | ||||
\(838\) | −11.5807 | − | 22.7284i | −0.400049 | − | 0.785140i | ||||
\(839\) | 15.5988 | + | 21.4699i | 0.538531 | + | 0.741224i | 0.988400 | − | 0.151870i | \(-0.0485295\pi\) |
−0.449869 | + | 0.893094i | \(0.648529\pi\) | |||||||
\(840\) | 45.5643 | + | 39.4417i | 1.57212 | + | 1.36087i | ||||
\(841\) | −6.36148 | − | 19.5786i | −0.219361 | − | 0.675125i | ||||
\(842\) | 4.46047 | − | 8.75417i | 0.153718 | − | 0.301689i | ||||
\(843\) | −8.07312 | + | 1.27866i | −0.278053 | + | 0.0440393i | ||||
\(844\) | −7.76830 | + | 5.64400i | −0.267396 | + | 0.194274i | ||||
\(845\) | 25.7963 | − | 10.4851i | 0.887419 | − | 0.360698i | ||||
\(846\) | 4.66717i | 0.160461i | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 8.65158 | + | 8.65158i | 0.297096 | + | 0.297096i | ||||
\(849\) | 16.6315 | − | 51.1864i | 0.570791 | − | 1.75671i | ||||
\(850\) | 3.42812 | − | 1.68976i | 0.117584 | − | 0.0579583i | ||||
\(851\) | 11.3390 | + | 8.23823i | 0.388694 | + | 0.282403i | ||||
\(852\) | −3.82261 | − | 1.94772i | −0.130960 | − | 0.0667276i | ||||
\(853\) | 45.2547 | + | 23.0584i | 1.54949 | + | 0.789505i | 0.998973 | − | 0.0453191i | \(-0.0144305\pi\) |
0.550517 | + | 0.834824i | \(0.314430\pi\) | |||||||
\(854\) | −13.0211 | − | 9.46039i | −0.445573 | − | 0.323728i | ||||
\(855\) | −23.7104 | − | 5.85911i | −0.810878 | − | 0.200377i | ||||
\(856\) | 6.22619 | − | 19.1622i | 0.212807 | − | 0.654952i | ||||
\(857\) | −21.6116 | − | 21.6116i | −0.738238 | − | 0.738238i | 0.233999 | − | 0.972237i | \(-0.424819\pi\) |
−0.972237 | + | 0.233999i | \(0.924819\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 14.1414i | − | 0.482499i | −0.970463 | − | 0.241250i | \(-0.922443\pi\) | ||
0.970463 | − | 0.241250i | \(-0.0775572\pi\) | |||||||
\(860\) | 2.33757 | − | 5.53909i | 0.0797104 | − | 0.188881i | ||||
\(861\) | 7.28357 | − | 5.29182i | 0.248223 | − | 0.180345i | ||||
\(862\) | −36.4627 | + | 5.77512i | −1.24192 | + | 0.196701i | ||||
\(863\) | 18.1738 | − | 35.6682i | 0.618644 | − | 1.21416i | −0.342865 | − | 0.939385i | \(-0.611397\pi\) |
0.961509 | − | 0.274773i | \(-0.0886028\pi\) | |||||||
\(864\) | −0.958797 | − | 2.95087i | −0.0326189 | − | 0.100391i | ||||
\(865\) | −6.72276 | + | 7.76634i | −0.228581 | + | 0.264063i | ||||
\(866\) | 7.48226 | + | 10.2985i | 0.254258 | + | 0.349956i | ||||
\(867\) | 19.1951 | + | 37.6725i | 0.651899 | + | 1.27942i | ||||
\(868\) | 3.47316 | − | 3.47316i | 0.117887 | − | 0.117887i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 13.1674 | + | 15.6259i | 0.446416 | + | 0.529767i | ||||
\(871\) | 9.34481 | + | 3.03631i | 0.316637 | + | 0.102882i | ||||
\(872\) | −3.44790 | + | 21.7692i | −0.116761 | + | 0.737198i | ||||
\(873\) | 7.79589 | + | 49.2213i | 0.263851 | + | 1.66589i | ||||
\(874\) | 22.5659 | − | 7.33210i | 0.763302 | − | 0.248012i | ||||
\(875\) | 38.7095 | − | 2.27186i | 1.30862 | − | 0.0768030i | ||||
\(876\) | 0.375115 | − | 0.516302i | 0.0126740 | − | 0.0174442i | ||||
\(877\) | −36.1778 | − | 5.73000i | −1.22164 | − | 0.193488i | −0.487887 | − | 0.872907i | \(-0.662232\pi\) |
−0.733751 | + | 0.679419i | \(0.762232\pi\) | |||||||
\(878\) | −33.5388 | + | 17.0889i | −1.13188 | + | 0.576722i | ||||
\(879\) | 72.9982 | 2.46217 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −50.8785 | −1.71414 | −0.857069 | − | 0.515201i | \(-0.827717\pi\) | ||||
−0.857069 | + | 0.515201i | \(0.827717\pi\) | |||||||
\(882\) | −19.2673 | + | 9.81715i | −0.648762 | + | 0.330561i | ||||
\(883\) | −7.99304 | − | 1.26597i | −0.268987 | − | 0.0426034i | 0.0204837 | − | 0.999790i | \(-0.493479\pi\) |
−0.289471 | + | 0.957187i | \(0.593479\pi\) | |||||||
\(884\) | 0.125202 | − | 0.172326i | 0.00421099 | − | 0.00579594i | ||||
\(885\) | 41.0098 | − | 9.55807i | 1.37853 | − | 0.321291i | ||||
\(886\) | 13.2295 | − | 4.29852i | 0.444453 | − | 0.144412i | ||||
\(887\) | −2.80215 | − | 17.6921i | −0.0940870 | − | 0.594042i | −0.989013 | − | 0.147828i | \(-0.952772\pi\) |
0.894926 | − | 0.446214i | \(-0.147228\pi\) | |||||||
\(888\) | 2.79685 | − | 17.6586i | 0.0938562 | − | 0.592585i | ||||
\(889\) | 42.8310 | + | 13.9166i | 1.43650 | + | 0.466749i | ||||
\(890\) | 3.45896 | − | 40.5100i | 0.115945 | − | 1.35790i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −2.64351 | + | 2.64351i | −0.0885114 | + | 0.0885114i | ||||
\(893\) | −1.54984 | − | 3.04172i | −0.0518633 | − | 0.101787i | ||||
\(894\) | 35.5148 | + | 48.8819i | 1.18779 | + | 1.63485i | ||||
\(895\) | 0.441876 | + | 6.13504i | 0.0147703 | + | 0.205072i | ||||
\(896\) | 6.27224 | + | 19.3040i | 0.209541 | + | 0.644900i | ||||
\(897\) | −5.20384 | + | 10.2131i | −0.173751 | + | 0.341006i | ||||
\(898\) | −23.8990 | + | 3.78522i | −0.797519 | + | 0.126315i | ||||
\(899\) | 7.12314 | − | 5.17527i | 0.237570 | − | 0.172605i | ||||
\(900\) | −7.16856 | − | 3.77328i | −0.238952 | − | 0.125776i | ||||
\(901\) | − | 2.65078i | − | 0.0883101i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 35.9553 | + | 35.9553i | 1.19652 | + | 1.19652i | ||||
\(904\) | −3.98614 | + | 12.2681i | −0.132577 | + | 0.408031i | ||||
\(905\) | 3.83445 | − | 15.5171i | 0.127461 | − | 0.515804i | ||||
\(906\) | 48.2295 | + | 35.0408i | 1.60232 | + | 1.16415i | ||||
\(907\) | 46.8164 | + | 23.8541i | 1.55451 | + | 0.792064i | 0.999216 | − | 0.0395883i | \(-0.0126046\pi\) |
0.555297 | + | 0.831652i | \(0.312605\pi\) | |||||||
\(908\) | −1.28823 | − | 0.656384i | −0.0427513 | − | 0.0217829i | ||||
\(909\) | 22.6615 | + | 16.4645i | 0.751635 | + | 0.546094i | ||||
\(910\) | −6.08053 | + | 3.67085i | −0.201567 | + | 0.121687i | ||||
\(911\) | −4.37040 | + | 13.4507i | −0.144798 | + | 0.445642i | −0.996985 | − | 0.0775954i | \(-0.975276\pi\) |
0.852187 | + | 0.523237i | \(0.175276\pi\) | |||||||
\(912\) | −16.1219 | − | 16.1219i | −0.533848 | − | 0.533848i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 14.5786i | 0.482218i | ||||||||
\(915\) | 19.6419 | + | 8.28914i | 0.649341 | + | 0.274030i | ||||
\(916\) | 5.55654 | − | 4.03706i | 0.183593 | − | 0.133388i | ||||
\(917\) | 59.0432 | − | 9.35153i | 1.94978 | − | 0.308815i | ||||
\(918\) | 0.417240 | − | 0.818880i | 0.0137710 | − | 0.0270271i | ||||
\(919\) | −13.1640 | − | 40.5145i | −0.434239 | − | 1.33645i | −0.893864 | − | 0.448338i | \(-0.852016\pi\) |
0.459625 | − | 0.888113i | \(-0.347984\pi\) | |||||||
\(920\) | 41.4982 | − | 2.98891i | 1.36816 | − | 0.0985414i | ||||
\(921\) | 27.8579 | + | 38.3432i | 0.917951 | + | 1.26345i | ||||
\(922\) | 14.9334 | + | 29.3084i | 0.491804 | + | 0.965221i | ||||
\(923\) | 1.89019 | − | 1.89019i | 0.0622165 | − | 0.0622165i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −6.63762 | − | 9.39576i | −0.218244 | − | 0.308931i | ||||
\(926\) | −24.0267 | − | 7.80674i | −0.789566 | − | 0.256546i | ||||
\(927\) | 1.94575 | − | 12.2850i | 0.0639067 | − | 0.403491i | ||||
\(928\) | −1.17098 | − | 7.39328i | −0.0384393 | − | 0.242696i | ||||
\(929\) | −11.2714 | + | 3.66231i | −0.369804 | + | 0.120157i | −0.488023 | − | 0.872831i | \(-0.662282\pi\) |
0.118219 | + | 0.992988i | \(0.462282\pi\) | |||||||
\(930\) | 11.2935 | − | 18.1576i | 0.370329 | − | 0.595412i | ||||
\(931\) | 9.29699 | − | 12.7962i | 0.304697 | − | 0.419379i | ||||
\(932\) | 6.42634 | + | 1.01783i | 0.210502 | + | 0.0333402i | ||||
\(933\) | 38.6144 | − | 19.6750i | 1.26418 | − | 0.644132i | ||||
\(934\) | −23.1291 | −0.756807 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 7.84466 | 0.256411 | ||||||||
\(937\) | 16.3614 | − | 8.33653i | 0.534503 | − | 0.272343i | −0.165836 | − | 0.986153i | \(-0.553032\pi\) |
0.700339 | + | 0.713811i | \(0.253032\pi\) | |||||||
\(938\) | 56.3546 | + | 8.92570i | 1.84004 | + | 0.291434i | ||||
\(939\) | −23.5953 | + | 32.4762i | −0.770004 | + | 1.05982i | ||||
\(940\) | −0.257018 | − | 1.10276i | −0.00838300 | − | 0.0359680i | ||||
\(941\) | 2.61735 | − | 0.850427i | 0.0853230 | − | 0.0277231i | −0.266044 | − | 0.963961i | \(-0.585717\pi\) |
0.351367 | + | 0.936238i | \(0.385717\pi\) | |||||||
\(942\) | −6.05285 | − | 38.2162i | −0.197213 | − | 1.24515i | ||||
\(943\) | 0.972330 | − | 6.13905i | 0.0316634 | − | 0.199915i | ||||
\(944\) | 20.0575 | + | 6.51706i | 0.652815 | + | 0.212112i | ||||
\(945\) | 7.13033 | − | 6.00847i | 0.231950 | − | 0.195455i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 16.3254 | − | 16.3254i | 0.530503 | − | 0.530503i | −0.390219 | − | 0.920722i | \(-0.627601\pi\) |
0.920722 | + | 0.390219i | \(0.127601\pi\) | |||||||
\(948\) | 6.57819 | + | 12.9104i | 0.213650 | + | 0.419311i | ||||
\(949\) | 0.233726 | + | 0.321696i | 0.00758707 | + | 0.0104427i | ||||
\(950\) | −19.4731 | − | 0.258578i | −0.631791 | − | 0.00838938i | ||||
\(951\) | 5.21768 | + | 16.0584i | 0.169195 | + | 0.520728i | ||||
\(952\) | 2.96868 | − | 5.82637i | 0.0962155 | − | 0.188834i | ||||
\(953\) | −47.7643 | + | 7.56512i | −1.54724 | + | 0.245058i | −0.870873 | − | 0.491508i | \(-0.836446\pi\) |
−0.676365 | + | 0.736567i | \(0.736446\pi\) | |||||||
\(954\) | 14.9394 | − | 10.8541i | 0.483682 | − | 0.351415i | ||||
\(955\) | 2.93339 | + | 7.21697i | 0.0949222 | + | 0.233536i | ||||
\(956\) | − | 1.50134i | − | 0.0485570i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −6.38460 | − | 6.38460i | −0.206277 | − | 0.206277i | ||||
\(959\) | 6.16440 | − | 18.9721i | 0.199059 | − | 0.612640i | ||||
\(960\) | −26.1495 | − | 43.3151i | −0.843973 | − | 1.39799i | ||||
\(961\) | 17.6255 | + | 12.8057i | 0.568564 | + | 0.413086i | ||||
\(962\) | 1.87751 | + | 0.956637i | 0.0605332 | + | 0.0308432i | ||||
\(963\) | −20.4103 | − | 10.3996i | −0.657713 | − | 0.335121i | ||||
\(964\) | −5.68976 | − | 4.13386i | −0.183255 | − | 0.133143i | ||||
\(965\) | 12.5544 | + | 20.7956i | 0.404141 | + | 0.669434i | ||||
\(966\) | −20.5686 | + | 63.3037i | −0.661785 | + | 2.03676i | ||||
\(967\) | 14.7018 | + | 14.7018i | 0.472778 | + | 0.472778i | 0.902813 | − | 0.430034i | \(-0.141499\pi\) |
−0.430034 | + | 0.902813i | \(0.641499\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 4.93961i | 0.158683i | ||||||||
\(970\) | 14.9627 | + | 36.8125i | 0.480423 | + | 1.18198i | ||||
\(971\) | −21.6941 | + | 15.7617i | −0.696198 | + | 0.505817i | −0.878692 | − | 0.477390i | \(-0.841583\pi\) |
0.182494 | + | 0.983207i | \(0.441583\pi\) | |||||||
\(972\) | 10.2897 | − | 1.62973i | 0.330042 | − | 0.0522735i | ||||
\(973\) | −20.1793 | + | 39.6040i | −0.646917 | + | 1.26965i | ||||
\(974\) | 10.4516 | + | 32.1666i | 0.334890 | + | 1.03069i | ||||
\(975\) | 6.74031 | − | 6.56365i | 0.215863 | − | 0.210205i | ||||
\(976\) | 6.27608 | + | 8.63828i | 0.200892 | + | 0.276504i | ||||
\(977\) | −20.3996 | − | 40.0365i | −0.652641 | − | 1.28088i | −0.945779 | − | 0.324810i | \(-0.894699\pi\) |
0.293138 | − | 0.956070i | \(-0.405301\pi\) | |||||||
\(978\) | 21.6094 | − | 21.6094i | 0.690992 | − | 0.690992i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 4.01184 | − | 3.38063i | 0.128153 | − | 0.107990i | ||||
\(981\) | 23.8318 | + | 7.74343i | 0.760891 | + | 0.247229i | ||||
\(982\) | 2.98081 | − | 18.8201i | 0.0951213 | − | 0.600572i | ||||
\(983\) | −7.94660 | − | 50.1729i | −0.253457 | − | 1.60027i | −0.705793 | − | 0.708419i | \(-0.749409\pi\) |
0.452335 | − | 0.891848i | \(-0.350591\pi\) | |||||||
\(984\) | −7.54066 | + | 2.45011i | −0.240387 | + | 0.0781066i | ||||
\(985\) | −8.16333 | − | 35.0255i | −0.260105 | − | 1.11601i | ||||
\(986\) | 1.30326 | − | 1.79378i | 0.0415042 | − | 0.0571257i | ||||
\(987\) | 9.45879 | + | 1.49813i | 0.301077 | + | 0.0476859i | ||||
\(988\) | −0.967077 | + | 0.492750i | −0.0307668 | + | 0.0156765i | ||||
\(989\) | 35.1053 | 1.11628 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −13.2536 | −0.421013 | −0.210507 | − | 0.977592i | \(-0.567511\pi\) | ||||
−0.210507 | + | 0.977592i | \(0.567511\pi\) | |||||||
\(992\) | −6.97940 | + | 3.55618i | −0.221596 | + | 0.112909i | ||||
\(993\) | 30.3482 | + | 4.80669i | 0.963072 | + | 0.152536i | ||||
\(994\) | 9.12401 | − | 12.5581i | 0.289396 | − | 0.398319i | ||||
\(995\) | −32.7696 | + | 52.6867i | −1.03886 | + | 1.67028i | ||||
\(996\) | 18.0945 | − | 5.87926i | 0.573346 | − | 0.186292i | ||||
\(997\) | −2.87479 | − | 18.1507i | −0.0910455 | − | 0.574839i | −0.990466 | − | 0.137755i | \(-0.956011\pi\) |
0.899421 | − | 0.437084i | \(-0.143989\pi\) | |||||||
\(998\) | −0.444154 | + | 2.80428i | −0.0140594 | + | 0.0887678i | ||||
\(999\) | −2.63089 | − | 0.854829i | −0.0832378 | − | 0.0270456i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))