Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(49,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.r (of order \(22\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 169.10 | ||
Character | \(\chi\) | \(=\) | 690.169 |
Dual form | 690.2.r.b.49.10 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{3}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.989821 | + | 0.142315i | 0.699909 | + | 0.100632i | ||||
\(3\) | −0.909632 | + | 0.415415i | −0.525176 | + | 0.239840i | ||||
\(4\) | 0.959493 | + | 0.281733i | 0.479746 | + | 0.140866i | ||||
\(5\) | 0.670880 | + | 2.13305i | 0.300027 | + | 0.953931i | ||||
\(6\) | −0.959493 | + | 0.281733i | −0.391711 | + | 0.115017i | ||||
\(7\) | 0.0999940 | − | 0.155594i | 0.0377942 | − | 0.0588089i | −0.821842 | − | 0.569715i | \(-0.807054\pi\) |
0.859637 | + | 0.510906i | \(0.170690\pi\) | |||||||
\(8\) | 0.909632 | + | 0.415415i | 0.321603 | + | 0.146871i | ||||
\(9\) | 0.654861 | − | 0.755750i | 0.218287 | − | 0.251917i | ||||
\(10\) | 0.360487 | + | 2.20682i | 0.113996 | + | 0.697857i | ||||
\(11\) | −0.591841 | − | 4.11635i | −0.178447 | − | 1.24113i | −0.860358 | − | 0.509690i | \(-0.829760\pi\) |
0.681911 | − | 0.731435i | \(-0.261149\pi\) | |||||||
\(12\) | −0.989821 | + | 0.142315i | −0.285737 | + | 0.0410828i | ||||
\(13\) | 3.08583 | + | 4.80164i | 0.855855 | + | 1.33174i | 0.942055 | + | 0.335458i | \(0.108891\pi\) |
−0.0862003 | + | 0.996278i | \(0.527473\pi\) | |||||||
\(14\) | 0.121120 | − | 0.139779i | 0.0323706 | − | 0.0373576i | ||||
\(15\) | −1.49636 | − | 1.66160i | −0.386358 | − | 0.429023i | ||||
\(16\) | 0.841254 | + | 0.540641i | 0.210313 | + | 0.135160i | ||||
\(17\) | 1.78801 | + | 6.08939i | 0.433656 | + | 1.47690i | 0.829463 | + | 0.558562i | \(0.188647\pi\) |
−0.395808 | + | 0.918333i | \(0.629535\pi\) | |||||||
\(18\) | 0.755750 | − | 0.654861i | 0.178132 | − | 0.154352i | ||||
\(19\) | 2.06044 | + | 0.605000i | 0.472698 | + | 0.138797i | 0.509400 | − | 0.860530i | \(-0.329867\pi\) |
−0.0367026 | + | 0.999326i | \(0.511685\pi\) | |||||||
\(20\) | 0.0427543 | + | 2.23566i | 0.00956015 | + | 0.499909i | ||||
\(21\) | −0.0263218 | + | 0.183072i | −0.00574389 | + | 0.0399496i | ||||
\(22\) | − | 4.15868i | − | 0.886633i | ||||||
\(23\) | −4.79536 | − | 0.0673348i | −0.999901 | − | 0.0140403i | ||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −4.09984 | + | 2.86205i | −0.819968 | + | 0.572410i | ||||
\(26\) | 2.37107 | + | 5.19193i | 0.465006 | + | 1.01822i | ||||
\(27\) | −0.281733 | + | 0.959493i | −0.0542195 | + | 0.184655i | ||||
\(28\) | 0.139779 | − | 0.121120i | 0.0264158 | − | 0.0228894i | ||||
\(29\) | 4.70792 | − | 1.38237i | 0.874239 | − | 0.256700i | 0.186322 | − | 0.982489i | \(-0.440343\pi\) |
0.687917 | + | 0.725789i | \(0.258525\pi\) | |||||||
\(30\) | −1.24466 | − | 1.85764i | −0.227242 | − | 0.339157i | ||||
\(31\) | −2.03747 | + | 4.46145i | −0.365941 | + | 0.801299i | 0.633675 | + | 0.773599i | \(0.281546\pi\) |
−0.999616 | + | 0.0277001i | \(0.991182\pi\) | |||||||
\(32\) | 0.755750 | + | 0.654861i | 0.133599 | + | 0.115764i | ||||
\(33\) | 2.24835 | + | 3.49850i | 0.391388 | + | 0.609011i | ||||
\(34\) | 0.903197 | + | 6.28187i | 0.154897 | + | 1.07733i | ||||
\(35\) | 0.398974 | + | 0.108908i | 0.0674389 | + | 0.0184088i | ||||
\(36\) | 0.841254 | − | 0.540641i | 0.140209 | − | 0.0901068i | ||||
\(37\) | −4.72024 | − | 4.09011i | −0.776003 | − | 0.672410i | 0.173967 | − | 0.984751i | \(-0.444341\pi\) |
−0.949970 | + | 0.312341i | \(0.898887\pi\) | |||||||
\(38\) | 1.95337 | + | 0.892074i | 0.316878 | + | 0.144713i | ||||
\(39\) | −4.80164 | − | 3.08583i | −0.768878 | − | 0.494128i | ||||
\(40\) | −0.275848 | + | 2.21899i | −0.0436155 | + | 0.350853i | ||||
\(41\) | −1.65444 | − | 1.90933i | −0.258380 | − | 0.298187i | 0.611707 | − | 0.791084i | \(-0.290483\pi\) |
−0.870087 | + | 0.492898i | \(0.835938\pi\) | |||||||
\(42\) | −0.0521077 | + | 0.177463i | −0.00804040 | + | 0.0273831i | ||||
\(43\) | −4.80047 | + | 2.19230i | −0.732066 | + | 0.334323i | −0.746331 | − | 0.665575i | \(-0.768186\pi\) |
0.0142653 | + | 0.999898i | \(0.495459\pi\) | |||||||
\(44\) | 0.591841 | − | 4.11635i | 0.0892234 | − | 0.620563i | ||||
\(45\) | 2.05139 | + | 0.889836i | 0.305803 | + | 0.132649i | ||||
\(46\) | −4.73697 | − | 0.749100i | −0.698428 | − | 0.110449i | ||||
\(47\) | 2.44178i | 0.356171i | 0.984015 | + | 0.178085i | \(0.0569903\pi\) | ||||
−0.984015 | + | 0.178085i | \(0.943010\pi\) | |||||||
\(48\) | −0.989821 | − | 0.142315i | −0.142868 | − | 0.0205414i | ||||
\(49\) | 2.89369 | + | 6.33631i | 0.413385 | + | 0.905187i | ||||
\(50\) | −4.46542 | + | 2.24945i | −0.631506 | + | 0.318120i | ||||
\(51\) | −4.15605 | − | 4.79634i | −0.581964 | − | 0.671622i | ||||
\(52\) | 1.60805 | + | 5.47652i | 0.222997 | + | 0.759457i | ||||
\(53\) | 6.66112 | − | 10.3649i | 0.914975 | − | 1.42373i | 0.00920600 | − | 0.999958i | \(-0.497070\pi\) |
0.905769 | − | 0.423771i | \(-0.139294\pi\) | |||||||
\(54\) | −0.415415 | + | 0.909632i | −0.0565308 | + | 0.123785i | ||||
\(55\) | 8.38334 | − | 4.02401i | 1.13041 | − | 0.542597i | ||||
\(56\) | 0.155594 | − | 0.0999940i | 0.0207921 | − | 0.0133623i | ||||
\(57\) | −2.12557 | + | 0.305611i | −0.281539 | + | 0.0404791i | ||||
\(58\) | 4.85673 | − | 0.698293i | 0.637721 | − | 0.0916904i | ||||
\(59\) | 9.13926 | − | 5.87345i | 1.18983 | − | 0.764657i | 0.212662 | − | 0.977126i | \(-0.431787\pi\) |
0.977168 | + | 0.212468i | \(0.0681502\pi\) | |||||||
\(60\) | −0.967617 | − | 2.01587i | −0.124919 | − | 0.260247i | ||||
\(61\) | −5.02703 | + | 11.0077i | −0.643646 | + | 1.40939i | 0.253362 | + | 0.967372i | \(0.418464\pi\) |
−0.897007 | + | 0.442016i | \(0.854263\pi\) | |||||||
\(62\) | −2.65167 | + | 4.12607i | −0.336762 | + | 0.524012i | ||||
\(63\) | −0.0521077 | − | 0.177463i | −0.00656496 | − | 0.0223582i | ||||
\(64\) | 0.654861 | + | 0.755750i | 0.0818576 | + | 0.0944687i | ||||
\(65\) | −8.17194 | + | 9.80357i | −1.01360 | + | 1.21598i | ||||
\(66\) | 1.72758 | + | 3.78287i | 0.212650 | + | 0.465639i | ||||
\(67\) | 8.92008 | + | 1.28251i | 1.08976 | + | 0.156684i | 0.663692 | − | 0.748006i | \(-0.268989\pi\) |
0.426070 | + | 0.904690i | \(0.359898\pi\) | |||||||
\(68\) | 6.34647i | 0.769623i | ||||||||
\(69\) | 4.38998 | − | 1.93081i | 0.528492 | − | 0.232443i | ||||
\(70\) | 0.379414 | + | 0.164579i | 0.0453486 | + | 0.0196710i | ||||
\(71\) | 0.970226 | − | 6.74807i | 0.115145 | − | 0.800848i | −0.847639 | − | 0.530574i | \(-0.821976\pi\) |
0.962783 | − | 0.270274i | \(-0.0871145\pi\) | |||||||
\(72\) | 0.909632 | − | 0.415415i | 0.107201 | − | 0.0489571i | ||||
\(73\) | 4.11019 | − | 13.9980i | 0.481061 | − | 1.63834i | −0.259054 | − | 0.965863i | \(-0.583411\pi\) |
0.740115 | − | 0.672481i | \(-0.234771\pi\) | |||||||
\(74\) | −4.09011 | − | 4.72024i | −0.475466 | − | 0.548717i | ||||
\(75\) | 2.54041 | − | 4.30655i | 0.293341 | − | 0.497277i | ||||
\(76\) | 1.80653 | + | 1.16099i | 0.207223 | + | 0.133174i | ||||
\(77\) | −0.699658 | − | 0.319523i | −0.0797335 | − | 0.0364131i | ||||
\(78\) | −4.31361 | − | 3.73776i | −0.488420 | − | 0.423218i | ||||
\(79\) | 13.8198 | − | 8.88145i | 1.55485 | − | 0.999241i | 0.570853 | − | 0.821052i | \(-0.306613\pi\) |
0.983996 | − | 0.178189i | \(-0.0570238\pi\) | |||||||
\(80\) | −0.588836 | + | 2.15714i | −0.0658338 | + | 0.241176i | ||||
\(81\) | −0.142315 | − | 0.989821i | −0.0158128 | − | 0.109980i | ||||
\(82\) | −1.36588 | − | 2.12535i | −0.150836 | − | 0.234705i | ||||
\(83\) | −0.426230 | − | 0.369330i | −0.0467848 | − | 0.0405393i | 0.631155 | − | 0.775657i | \(-0.282581\pi\) |
−0.677939 | + | 0.735118i | \(0.737127\pi\) | |||||||
\(84\) | −0.0768329 | + | 0.168241i | −0.00838316 | + | 0.0183566i | ||||
\(85\) | −11.7895 | + | 7.89917i | −1.27875 | + | 0.856785i | ||||
\(86\) | −5.06361 | + | 1.48681i | −0.546023 | + | 0.160327i | ||||
\(87\) | −3.70822 | + | 3.21319i | −0.397563 | + | 0.344490i | ||||
\(88\) | 1.17163 | − | 3.99022i | 0.124897 | − | 0.425359i | ||||
\(89\) | −7.29980 | − | 15.9843i | −0.773777 | − | 1.69434i | −0.718154 | − | 0.695884i | \(-0.755013\pi\) |
−0.0556235 | − | 0.998452i | \(-0.517715\pi\) | |||||||
\(90\) | 1.90387 | + | 1.17272i | 0.200686 | + | 0.123616i | ||||
\(91\) | 1.05567 | 0.110664 | ||||||||
\(92\) | −4.58214 | − | 1.41562i | −0.477721 | − | 0.147588i | ||||
\(93\) | − | 4.90467i | − | 0.508591i | ||||||
\(94\) | −0.347502 | + | 2.41693i | −0.0358421 | + | 0.249287i | ||||
\(95\) | 0.0918117 | + | 4.80092i | 0.00941969 | + | 0.492564i | ||||
\(96\) | −0.959493 | − | 0.281733i | −0.0979278 | − | 0.0287542i | ||||
\(97\) | 1.35952 | − | 1.17803i | 0.138038 | − | 0.119611i | −0.583105 | − | 0.812397i | \(-0.698162\pi\) |
0.721143 | + | 0.692786i | \(0.243617\pi\) | |||||||
\(98\) | 1.96249 | + | 6.68363i | 0.198241 | + | 0.675148i | ||||
\(99\) | −3.49850 | − | 2.24835i | −0.351613 | − | 0.225968i | ||||
\(100\) | −4.74010 | + | 1.59106i | −0.474010 | + | 0.159106i | ||||
\(101\) | −8.09171 | + | 9.33833i | −0.805155 | + | 0.929198i | −0.998652 | − | 0.0519026i | \(-0.983471\pi\) |
0.193497 | + | 0.981101i | \(0.438017\pi\) | |||||||
\(102\) | −3.43116 | − | 5.33899i | −0.339736 | − | 0.528639i | ||||
\(103\) | 15.1799 | − | 2.18255i | 1.49572 | − | 0.215053i | 0.654633 | − | 0.755946i | \(-0.272823\pi\) |
0.841091 | + | 0.540894i | \(0.181914\pi\) | |||||||
\(104\) | 0.812294 | + | 5.64963i | 0.0796520 | + | 0.553992i | ||||
\(105\) | −0.408161 | + | 0.0666737i | −0.0398325 | + | 0.00650668i | ||||
\(106\) | 8.06840 | − | 9.31143i | 0.783672 | − | 0.904406i | ||||
\(107\) | −11.0425 | − | 5.04296i | −1.06752 | − | 0.487521i | −0.197383 | − | 0.980327i | \(-0.563244\pi\) |
−0.870139 | + | 0.492806i | \(0.835971\pi\) | |||||||
\(108\) | −0.540641 | + | 0.841254i | −0.0520232 | + | 0.0809497i | ||||
\(109\) | 1.95728 | − | 0.574709i | 0.187473 | − | 0.0550472i | −0.186648 | − | 0.982427i | \(-0.559762\pi\) |
0.374122 | + | 0.927380i | \(0.377944\pi\) | |||||||
\(110\) | 8.87068 | − | 2.78997i | 0.845786 | − | 0.266014i | ||||
\(111\) | 5.99277 | + | 1.75964i | 0.568809 | + | 0.167017i | ||||
\(112\) | 0.168241 | − | 0.0768329i | 0.0158972 | − | 0.00726003i | ||||
\(113\) | −4.31566 | − | 0.620498i | −0.405983 | − | 0.0583715i | −0.0637014 | − | 0.997969i | \(-0.520291\pi\) |
−0.342281 | + | 0.939597i | \(0.611200\pi\) | |||||||
\(114\) | −2.14743 | −0.201125 | ||||||||
\(115\) | −3.07348 | − | 10.2739i | −0.286604 | − | 0.958049i | ||||
\(116\) | 4.90668 | 0.455574 | ||||||||
\(117\) | 5.64963 | + | 0.812294i | 0.522308 | + | 0.0750966i | ||||
\(118\) | 9.88211 | − | 4.51301i | 0.909722 | − | 0.415456i | ||||
\(119\) | 1.12626 | + | 0.330700i | 0.103244 | + | 0.0303152i | ||||
\(120\) | −0.670880 | − | 2.13305i | −0.0612427 | − | 0.194720i | ||||
\(121\) | −6.03961 | + | 1.77339i | −0.549056 | + | 0.161217i | ||||
\(122\) | −6.54242 | + | 10.1802i | −0.592323 | + | 0.921672i | ||||
\(123\) | 2.29810 | + | 1.04951i | 0.207212 | + | 0.0946307i | ||||
\(124\) | −3.21188 | + | 3.70670i | −0.288435 | + | 0.332872i | ||||
\(125\) | −8.85541 | − | 6.82509i | −0.792052 | − | 0.610454i | ||||
\(126\) | −0.0263218 | − | 0.183072i | −0.00234493 | − | 0.0163094i | ||||
\(127\) | −3.81477 | + | 0.548481i | −0.338506 | + | 0.0486699i | −0.309472 | − | 0.950909i | \(-0.600152\pi\) |
−0.0290343 | + | 0.999578i | \(0.509243\pi\) | |||||||
\(128\) | 0.540641 | + | 0.841254i | 0.0477863 | + | 0.0743570i | ||||
\(129\) | 3.45595 | − | 3.98838i | 0.304279 | − | 0.351157i | ||||
\(130\) | −9.48396 | + | 8.54079i | −0.831798 | + | 0.749077i | ||||
\(131\) | −14.9138 | − | 9.58452i | −1.30303 | − | 0.837404i | −0.309488 | − | 0.950903i | \(-0.600158\pi\) |
−0.993538 | + | 0.113500i | \(0.963794\pi\) | |||||||
\(132\) | 1.17163 | + | 3.99022i | 0.101978 | + | 0.347304i | ||||
\(133\) | 0.300166 | − | 0.260095i | 0.0260277 | − | 0.0225531i | ||||
\(134\) | 8.64676 | + | 2.53892i | 0.746967 | + | 0.219329i | ||||
\(135\) | −2.23566 | + | 0.0427543i | −0.192415 | + | 0.00367970i | ||||
\(136\) | −0.903197 | + | 6.28187i | −0.0774485 | + | 0.538666i | ||||
\(137\) | − | 15.3728i | − | 1.31338i | −0.754159 | − | 0.656692i | \(-0.771955\pi\) | ||
0.754159 | − | 0.656692i | \(-0.228045\pi\) | |||||||
\(138\) | 4.62008 | − | 1.28640i | 0.393288 | − | 0.109506i | ||||
\(139\) | −20.3326 | −1.72458 | −0.862292 | − | 0.506411i | \(-0.830972\pi\) | ||||
−0.862292 | + | 0.506411i | \(0.830972\pi\) | |||||||
\(140\) | 0.352130 | + | 0.216900i | 0.0297604 | + | 0.0183314i | ||||
\(141\) | −1.01435 | − | 2.22112i | −0.0854240 | − | 0.187052i | ||||
\(142\) | 1.92070 | − | 6.54131i | 0.161182 | − | 0.548934i | ||||
\(143\) | 17.9389 | − | 15.5442i | 1.50013 | − | 1.29987i | ||||
\(144\) | 0.959493 | − | 0.281733i | 0.0799577 | − | 0.0234777i | ||||
\(145\) | 6.10712 | + | 9.11485i | 0.507169 | + | 0.756947i | ||||
\(146\) | 6.06048 | − | 13.2706i | 0.501569 | − | 1.09828i | ||||
\(147\) | −5.26439 | − | 4.56162i | −0.434200 | − | 0.376236i | ||||
\(148\) | −3.37672 | − | 5.25428i | −0.277565 | − | 0.431899i | ||||
\(149\) | −0.587150 | − | 4.08372i | −0.0481012 | − | 0.334551i | −0.999635 | − | 0.0270077i | \(-0.991402\pi\) |
0.951534 | − | 0.307543i | \(-0.0995069\pi\) | |||||||
\(150\) | 3.12743 | − | 3.90117i | 0.255354 | − | 0.318529i | ||||
\(151\) | 4.85872 | − | 3.12251i | 0.395397 | − | 0.254106i | −0.327801 | − | 0.944747i | \(-0.606308\pi\) |
0.723198 | + | 0.690641i | \(0.242671\pi\) | |||||||
\(152\) | 1.62292 | + | 1.40627i | 0.131636 | + | 0.114063i | ||||
\(153\) | 5.77295 | + | 2.63642i | 0.466716 | + | 0.213142i | ||||
\(154\) | −0.647064 | − | 0.415843i | −0.0521419 | − | 0.0335096i | ||||
\(155\) | −10.8834 | − | 1.35295i | −0.874176 | − | 0.108671i | ||||
\(156\) | −3.73776 | − | 4.31361i | −0.299261 | − | 0.345365i | ||||
\(157\) | 0.368706 | − | 1.25570i | 0.0294260 | − | 0.100216i | −0.943471 | − | 0.331456i | \(-0.892460\pi\) |
0.972897 | + | 0.231240i | \(0.0742784\pi\) | |||||||
\(158\) | 14.9431 | − | 6.82429i | 1.18881 | − | 0.542911i | ||||
\(159\) | −1.75343 | + | 12.1954i | −0.139056 | + | 0.967156i | ||||
\(160\) | −0.889836 | + | 2.05139i | −0.0703477 | + | 0.162176i | ||||
\(161\) | −0.489984 | + | 0.739395i | −0.0386162 | + | 0.0582725i | ||||
\(162\) | − | 1.00000i | − | 0.0785674i | ||||||
\(163\) | −10.8526 | − | 1.56037i | −0.850043 | − | 0.122218i | −0.296495 | − | 0.955035i | \(-0.595818\pi\) |
−0.553549 | + | 0.832817i | \(0.686727\pi\) | |||||||
\(164\) | −1.04951 | − | 2.29810i | −0.0819526 | − | 0.179451i | ||||
\(165\) | −5.95412 | + | 7.14293i | −0.463527 | + | 0.556076i | ||||
\(166\) | −0.369330 | − | 0.426230i | −0.0286656 | − | 0.0330819i | ||||
\(167\) | −1.16885 | − | 3.98074i | −0.0904485 | − | 0.308039i | 0.901826 | − | 0.432099i | \(-0.142227\pi\) |
−0.992275 | + | 0.124060i | \(0.960409\pi\) | |||||||
\(168\) | −0.0999940 | + | 0.155594i | −0.00771471 | + | 0.0120043i | ||||
\(169\) | −8.13304 | + | 17.8089i | −0.625618 | + | 1.36991i | ||||
\(170\) | −12.7936 | + | 6.14095i | −0.981227 | + | 0.470990i | ||||
\(171\) | 1.80653 | − | 1.16099i | 0.138149 | − | 0.0887829i | ||||
\(172\) | −5.22366 | + | 0.751050i | −0.398301 | + | 0.0572670i | ||||
\(173\) | 3.34992 | − | 0.481646i | 0.254690 | − | 0.0366189i | −0.0137871 | − | 0.999905i | \(-0.504389\pi\) |
0.268477 | + | 0.963286i | \(0.413480\pi\) | |||||||
\(174\) | −4.12776 | + | 2.65275i | −0.312925 | + | 0.201104i | ||||
\(175\) | 0.0353574 | + | 0.924097i | 0.00267277 | + | 0.0698552i | ||||
\(176\) | 1.72758 | − | 3.78287i | 0.130221 | − | 0.285144i | ||||
\(177\) | −5.87345 | + | 9.13926i | −0.441475 | + | 0.686949i | ||||
\(178\) | −4.95069 | − | 16.8605i | −0.371070 | − | 1.26375i | ||||
\(179\) | 8.95399 | + | 10.3335i | 0.669252 | + | 0.772358i | 0.984259 | − | 0.176731i | \(-0.0565523\pi\) |
−0.315007 | + | 0.949089i | \(0.602007\pi\) | |||||||
\(180\) | 1.71760 | + | 1.43173i | 0.128022 | + | 0.106715i | ||||
\(181\) | 5.36838 | + | 11.7551i | 0.399028 | + | 0.873750i | 0.997368 | + | 0.0725077i | \(0.0231002\pi\) |
−0.598339 | + | 0.801243i | \(0.704173\pi\) | |||||||
\(182\) | 1.04492 | + | 0.150237i | 0.0774550 | + | 0.0111363i | ||||
\(183\) | − | 12.1012i | − | 0.894549i | ||||||
\(184\) | −4.33404 | − | 2.05331i | −0.319510 | − | 0.151372i | ||||
\(185\) | 5.55771 | − | 12.8125i | 0.408611 | − | 0.941994i | ||||
\(186\) | 0.698008 | − | 4.85475i | 0.0511804 | − | 0.355967i | ||||
\(187\) | 24.0078 | − | 10.9640i | 1.75563 | − | 0.801768i | ||||
\(188\) | −0.687930 | + | 2.34287i | −0.0501725 | + | 0.170872i | ||||
\(189\) | 0.121120 | + | 0.139779i | 0.00881015 | + | 0.0101675i | ||||
\(190\) | −0.592364 | + | 4.76512i | −0.0429746 | + | 0.345698i | ||||
\(191\) | 6.04059 | + | 3.88205i | 0.437082 | + | 0.280895i | 0.740620 | − | 0.671924i | \(-0.234532\pi\) |
−0.303539 | + | 0.952819i | \(0.598168\pi\) | |||||||
\(192\) | −0.909632 | − | 0.415415i | −0.0656470 | − | 0.0299800i | ||||
\(193\) | 16.1673 | + | 14.0091i | 1.16375 | + | 1.00840i | 0.999759 | + | 0.0219343i | \(0.00698247\pi\) |
0.163992 | + | 0.986462i | \(0.447563\pi\) | |||||||
\(194\) | 1.51333 | − | 0.972558i | 0.108651 | − | 0.0698256i | ||||
\(195\) | 3.36091 | − | 12.3124i | 0.240680 | − | 0.881708i | ||||
\(196\) | 0.991336 | + | 6.89489i | 0.0708097 | + | 0.492492i | ||||
\(197\) | 1.88225 | + | 2.92883i | 0.134104 | + | 0.208671i | 0.901811 | − | 0.432131i | \(-0.142238\pi\) |
−0.767706 | + | 0.640802i | \(0.778602\pi\) | |||||||
\(198\) | −3.14292 | − | 2.72335i | −0.223357 | − | 0.193540i | ||||
\(199\) | 1.52492 | − | 3.33910i | 0.108098 | − | 0.236703i | −0.847851 | − | 0.530235i | \(-0.822104\pi\) |
0.955949 | + | 0.293533i | \(0.0948309\pi\) | |||||||
\(200\) | −4.91828 | + | 0.900276i | −0.347775 | + | 0.0636591i | ||||
\(201\) | −8.64676 | + | 2.53892i | −0.609896 | + | 0.179082i | ||||
\(202\) | −9.33833 | + | 8.09171i | −0.657042 | + | 0.569330i | ||||
\(203\) | 0.255676 | − | 0.870752i | 0.0179449 | − | 0.0611148i | ||||
\(204\) | −2.63642 | − | 5.77295i | −0.184586 | − | 0.404188i | ||||
\(205\) | 2.96277 | − | 4.80994i | 0.206929 | − | 0.335941i | ||||
\(206\) | 15.3360 | 1.06851 | ||||||||
\(207\) | −3.19118 | + | 3.58000i | −0.221802 | + | 0.248827i | ||||
\(208\) | 5.70772i | 0.395759i | ||||||||
\(209\) | 1.27094 | − | 8.83956i | 0.0879125 | − | 0.611445i | ||||
\(210\) | −0.413496 | + | 0.00790760i | −0.0285339 | + | 0.000545677i | ||||
\(211\) | 3.81638 | + | 1.12059i | 0.262731 | + | 0.0771447i | 0.410445 | − | 0.911885i | \(-0.365373\pi\) |
−0.147714 | + | 0.989030i | \(0.547192\pi\) | |||||||
\(212\) | 9.31143 | − | 8.06840i | 0.639512 | − | 0.554140i | ||||
\(213\) | 1.92070 | + | 6.54131i | 0.131604 | + | 0.448203i | ||||
\(214\) | −10.2124 | − | 6.56314i | −0.698109 | − | 0.448647i | ||||
\(215\) | −7.89685 | − | 8.76890i | −0.538560 | − | 0.598034i | ||||
\(216\) | −0.654861 | + | 0.755750i | −0.0445576 | + | 0.0514222i | ||||
\(217\) | 0.490438 | + | 0.763136i | 0.0332931 | + | 0.0518051i | ||||
\(218\) | 2.01915 | − | 0.290310i | 0.136754 | − | 0.0196622i | ||||
\(219\) | 2.07623 | + | 14.4405i | 0.140298 | + | 0.975797i | ||||
\(220\) | 9.17745 | − | 1.49915i | 0.618743 | − | 0.101072i | ||||
\(221\) | −23.7216 | + | 27.3762i | −1.59569 | + | 1.84152i | ||||
\(222\) | 5.68135 | + | 2.59459i | 0.381307 | + | 0.174137i | ||||
\(223\) | 0.314846 | − | 0.489911i | 0.0210837 | − | 0.0328068i | −0.830552 | − | 0.556941i | \(-0.811975\pi\) |
0.851635 | + | 0.524135i | \(0.175611\pi\) | |||||||
\(224\) | 0.177463 | − | 0.0521077i | 0.0118572 | − | 0.00348159i | ||||
\(225\) | −0.521832 | + | 4.97269i | −0.0347888 | + | 0.331513i | ||||
\(226\) | −4.18342 | − | 1.22836i | −0.278277 | − | 0.0817096i | ||||
\(227\) | −12.8057 | + | 5.84818i | −0.849946 | + | 0.388158i | −0.792265 | − | 0.610177i | \(-0.791098\pi\) |
−0.0576817 | + | 0.998335i | \(0.518371\pi\) | |||||||
\(228\) | −2.12557 | − | 0.305611i | −0.140769 | − | 0.0202396i | ||||
\(229\) | 17.8580 | 1.18009 | 0.590045 | − | 0.807370i | \(-0.299110\pi\) | ||||
0.590045 | + | 0.807370i | \(0.299110\pi\) | |||||||
\(230\) | −1.58007 | − | 10.6068i | −0.104187 | − | 0.699389i | ||||
\(231\) | 0.769166 | 0.0506074 | ||||||||
\(232\) | 4.85673 | + | 0.698293i | 0.318860 | + | 0.0458452i | ||||
\(233\) | 22.0576 | − | 10.0734i | 1.44504 | − | 0.659927i | 0.470144 | − | 0.882590i | \(-0.344202\pi\) |
0.974896 | + | 0.222662i | \(0.0714748\pi\) | |||||||
\(234\) | 5.47652 | + | 1.60805i | 0.358011 | + | 0.105122i | ||||
\(235\) | −5.20846 | + | 1.63815i | −0.339762 | + | 0.106861i | ||||
\(236\) | 10.4238 | − | 3.06070i | 0.678531 | − | 0.199235i | ||||
\(237\) | −8.88145 | + | 13.8198i | −0.576912 | + | 0.897693i | ||||
\(238\) | 1.06773 | + | 0.487618i | 0.0692109 | + | 0.0316076i | ||||
\(239\) | −3.83403 | + | 4.42470i | −0.248003 | + | 0.286210i | −0.866078 | − | 0.499908i | \(-0.833367\pi\) |
0.618076 | + | 0.786119i | \(0.287913\pi\) | |||||||
\(240\) | −0.360487 | − | 2.20682i | −0.0232693 | − | 0.142450i | ||||
\(241\) | −2.80219 | − | 19.4896i | −0.180505 | − | 1.25544i | −0.855573 | − | 0.517682i | \(-0.826795\pi\) |
0.675068 | − | 0.737755i | \(-0.264114\pi\) | |||||||
\(242\) | −6.23052 | + | 0.895814i | −0.400513 | + | 0.0575851i | ||||
\(243\) | 0.540641 | + | 0.841254i | 0.0346821 | + | 0.0539664i | ||||
\(244\) | −7.92462 | + | 9.14550i | −0.507322 | + | 0.585481i | ||||
\(245\) | −11.5744 | + | 10.4233i | −0.739459 | + | 0.665921i | ||||
\(246\) | 2.12535 | + | 1.36588i | 0.135507 | + | 0.0870851i | ||||
\(247\) | 3.45317 | + | 11.7604i | 0.219720 | + | 0.748298i | ||||
\(248\) | −3.70670 | + | 3.21188i | −0.235376 | + | 0.203954i | ||||
\(249\) | 0.541138 | + | 0.158892i | 0.0342932 | + | 0.0100694i | ||||
\(250\) | −7.79396 | − | 8.01587i | −0.492933 | − | 0.506968i | ||||
\(251\) | −1.40565 | + | 9.77652i | −0.0887239 | + | 0.617089i | 0.896142 | + | 0.443768i | \(0.146359\pi\) |
−0.984866 | + | 0.173320i | \(0.944550\pi\) | |||||||
\(252\) | − | 0.184955i | − | 0.0116510i | ||||||
\(253\) | 2.56092 | + | 19.7792i | 0.161004 | + | 1.24351i | ||||
\(254\) | −3.85400 | −0.241821 | ||||||||
\(255\) | 7.44264 | − | 12.0829i | 0.466076 | − | 0.756658i | ||||
\(256\) | 0.415415 | + | 0.909632i | 0.0259634 | + | 0.0568520i | ||||
\(257\) | −2.48459 | + | 8.46173i | −0.154984 | + | 0.527828i | −0.999976 | − | 0.00695146i | \(-0.997787\pi\) |
0.844991 | + | 0.534780i | \(0.179605\pi\) | |||||||
\(258\) | 3.98838 | − | 3.45595i | 0.248306 | − | 0.215158i | ||||
\(259\) | −1.10839 | + | 0.325453i | −0.0688721 | + | 0.0202227i | ||||
\(260\) | −10.6029 | + | 7.10415i | −0.657564 | + | 0.440581i | ||||
\(261\) | 2.03831 | − | 4.46327i | 0.126168 | − | 0.276270i | ||||
\(262\) | −13.3980 | − | 11.6094i | −0.827731 | − | 0.717233i | ||||
\(263\) | −9.20762 | − | 14.3273i | −0.567766 | − | 0.883461i | 0.432065 | − | 0.901842i | \(-0.357785\pi\) |
−0.999831 | + | 0.0183814i | \(0.994149\pi\) | |||||||
\(264\) | 0.591841 | + | 4.11635i | 0.0364253 | + | 0.253344i | ||||
\(265\) | 26.5777 | + | 7.25492i | 1.63266 | + | 0.445666i | ||||
\(266\) | 0.334126 | − | 0.214730i | 0.0204866 | − | 0.0131659i | ||||
\(267\) | 13.2803 | + | 11.5074i | 0.812739 | + | 0.704242i | ||||
\(268\) | 8.19743 | + | 3.74364i | 0.500738 | + | 0.228679i | ||||
\(269\) | 13.6032 | + | 8.74224i | 0.829401 | + | 0.533024i | 0.885087 | − | 0.465425i | \(-0.154098\pi\) |
−0.0556866 | + | 0.998448i | \(0.517735\pi\) | |||||||
\(270\) | −2.21899 | − | 0.275848i | −0.135043 | − | 0.0167876i | ||||
\(271\) | 7.00171 | + | 8.08040i | 0.425324 | + | 0.490850i | 0.927451 | − | 0.373944i | \(-0.121995\pi\) |
−0.502128 | + | 0.864793i | \(0.667449\pi\) | |||||||
\(272\) | −1.78801 | + | 6.08939i | −0.108414 | + | 0.369224i | ||||
\(273\) | −0.960271 | + | 0.438541i | −0.0581183 | + | 0.0265417i | ||||
\(274\) | 2.18777 | − | 15.2163i | 0.132168 | − | 0.919250i | ||||
\(275\) | 14.2076 | + | 15.1825i | 0.856753 | + | 0.915538i | ||||
\(276\) | 4.75613 | − | 0.615801i | 0.286285 | − | 0.0370669i | ||||
\(277\) | 9.05454i | 0.544035i | 0.962292 | + | 0.272017i | \(0.0876908\pi\) | ||||
−0.962292 | + | 0.272017i | \(0.912309\pi\) | |||||||
\(278\) | −20.1256 | − | 2.89362i | −1.20705 | − | 0.173548i | ||||
\(279\) | 2.03747 | + | 4.46145i | 0.121980 | + | 0.267100i | ||||
\(280\) | 0.317677 | + | 0.264806i | 0.0189849 | + | 0.0158252i | ||||
\(281\) | 3.11410 | + | 3.59386i | 0.185772 | + | 0.214392i | 0.840994 | − | 0.541044i | \(-0.181971\pi\) |
−0.655223 | + | 0.755436i | \(0.727425\pi\) | |||||||
\(282\) | −0.687930 | − | 2.34287i | −0.0409656 | − | 0.139516i | ||||
\(283\) | −8.81608 | + | 13.7181i | −0.524062 | + | 0.815456i | −0.997874 | − | 0.0651699i | \(-0.979241\pi\) |
0.473813 | + | 0.880626i | \(0.342877\pi\) | |||||||
\(284\) | 2.83208 | − | 6.20138i | 0.168053 | − | 0.367984i | ||||
\(285\) | −2.07789 | − | 4.32893i | −0.123083 | − | 0.256424i | ||||
\(286\) | 19.9685 | − | 12.8330i | 1.18076 | − | 0.758829i | ||||
\(287\) | −0.462514 | + | 0.0664994i | −0.0273013 | + | 0.00392534i | ||||
\(288\) | 0.989821 | − | 0.142315i | 0.0583258 | − | 0.00838598i | ||||
\(289\) | −19.5824 | + | 12.5849i | −1.15191 | + | 0.740287i | ||||
\(290\) | 4.74779 | + | 9.89121i | 0.278800 | + | 0.580832i | ||||
\(291\) | −0.747289 | + | 1.63634i | −0.0438069 | + | 0.0959237i | ||||
\(292\) | 7.88739 | − | 12.2730i | 0.461575 | − | 0.718224i | ||||
\(293\) | −5.50485 | − | 18.7478i | −0.321597 | − | 1.09526i | −0.948662 | − | 0.316291i | \(-0.897562\pi\) |
0.627065 | − | 0.778967i | \(-0.284256\pi\) | |||||||
\(294\) | −4.56162 | − | 5.26439i | −0.266039 | − | 0.307026i | ||||
\(295\) | 18.6597 | + | 15.5542i | 1.08641 | + | 0.905598i | ||||
\(296\) | −2.59459 | − | 5.68135i | −0.150807 | − | 0.330222i | ||||
\(297\) | 4.11635 | + | 0.591841i | 0.238855 | + | 0.0343421i | ||||
\(298\) | − | 4.12571i | − | 0.238996i | ||||||
\(299\) | −14.4743 | − | 23.2334i | −0.837072 | − | 1.34362i | ||||
\(300\) | 3.65080 | − | 3.41638i | 0.210779 | − | 0.197245i | ||||
\(301\) | −0.138910 | + | 0.966141i | −0.00800665 | + | 0.0556874i | ||||
\(302\) | 5.25364 | − | 2.39926i | 0.302313 | − | 0.138062i | ||||
\(303\) | 3.48119 | − | 11.8559i | 0.199989 | − | 0.681101i | ||||
\(304\) | 1.40627 | + | 1.62292i | 0.0806549 | + | 0.0930807i | ||||
\(305\) | −26.8525 | − | 3.33811i | −1.53757 | − | 0.191139i | ||||
\(306\) | 5.33899 | + | 3.43116i | 0.305210 | + | 0.196146i | ||||
\(307\) | −22.1282 | − | 10.1056i | −1.26292 | − | 0.576757i | −0.332450 | − | 0.943121i | \(-0.607875\pi\) |
−0.930472 | + | 0.366364i | \(0.880602\pi\) | |||||||
\(308\) | −0.581297 | − | 0.503697i | −0.0331225 | − | 0.0287008i | ||||
\(309\) | −12.9015 | + | 8.29129i | −0.733941 | + | 0.471675i | ||||
\(310\) | −10.5801 | − | 2.88804i | −0.600908 | − | 0.164030i | ||||
\(311\) | −0.824021 | − | 5.73119i | −0.0467259 | − | 0.324986i | −0.999756 | − | 0.0221089i | \(-0.992962\pi\) |
0.953030 | − | 0.302877i | \(-0.0979471\pi\) | |||||||
\(312\) | −3.08583 | − | 4.80164i | −0.174701 | − | 0.271839i | ||||
\(313\) | −9.56643 | − | 8.28936i | −0.540727 | − | 0.468542i | 0.341159 | − | 0.940006i | \(-0.389181\pi\) |
−0.881886 | + | 0.471463i | \(0.843726\pi\) | |||||||
\(314\) | 0.543658 | − | 1.19044i | 0.0306804 | − | 0.0671807i | ||||
\(315\) | 0.343579 | − | 0.230205i | 0.0193585 | − | 0.0129706i | ||||
\(316\) | 15.7622 | − | 4.62820i | 0.886693 | − | 0.260357i | ||||
\(317\) | −4.65999 | + | 4.03790i | −0.261731 | + | 0.226791i | −0.775834 | − | 0.630937i | \(-0.782670\pi\) |
0.514103 | + | 0.857729i | \(0.328125\pi\) | |||||||
\(318\) | −3.47117 | + | 11.8217i | −0.194653 | + | 0.662928i | ||||
\(319\) | −8.47666 | − | 18.5613i | −0.474602 | − | 1.03923i | ||||
\(320\) | −1.17272 | + | 1.90387i | −0.0655571 | + | 0.106430i | ||||
\(321\) | 12.1396 | 0.677564 | ||||||||
\(322\) | −0.590224 | + | 0.662137i | −0.0328919 | + | 0.0368994i | ||||
\(323\) | 13.6286i | 0.758315i | ||||||||
\(324\) | 0.142315 | − | 0.989821i | 0.00790638 | − | 0.0549901i | ||||
\(325\) | −26.3939 | − | 10.8542i | −1.46407 | − | 0.602081i | ||||
\(326\) | −10.5201 | − | 3.08898i | −0.582654 | − | 0.171083i | ||||
\(327\) | −1.54166 | + | 1.33586i | −0.0852541 | + | 0.0738731i | ||||
\(328\) | −0.711770 | − | 2.42407i | −0.0393009 | − | 0.133847i | ||||
\(329\) | 0.379926 | + | 0.244164i | 0.0209460 | + | 0.0134612i | ||||
\(330\) | −6.91006 | + | 6.22286i | −0.380386 | + | 0.342557i | ||||
\(331\) | 1.18166 | − | 1.36370i | 0.0649497 | − | 0.0749560i | −0.722345 | − | 0.691533i | \(-0.756936\pi\) |
0.787295 | + | 0.616577i | \(0.211481\pi\) | |||||||
\(332\) | −0.304912 | − | 0.474453i | −0.0167342 | − | 0.0260390i | ||||
\(333\) | −6.18220 | + | 0.888866i | −0.338782 | + | 0.0487096i | ||||
\(334\) | −0.590436 | − | 4.10657i | −0.0323072 | − | 0.224702i | ||||
\(335\) | 3.24864 | + | 19.8874i | 0.177492 | + | 1.08657i | ||||
\(336\) | −0.121120 | + | 0.139779i | −0.00660761 | + | 0.00762559i | ||||
\(337\) | −11.5701 | − | 5.28387i | −0.630262 | − | 0.287831i | 0.0745587 | − | 0.997217i | \(-0.476245\pi\) |
−0.704820 | + | 0.709386i | \(0.748972\pi\) | |||||||
\(338\) | −10.5847 | + | 16.4702i | −0.575733 | + | 0.895858i | ||||
\(339\) | 4.18342 | − | 1.22836i | 0.227212 | − | 0.0667156i | ||||
\(340\) | −13.5374 | + | 4.25772i | −0.734167 | + | 0.230907i | ||||
\(341\) | 19.5707 | + | 5.74648i | 1.05981 | + | 0.311189i | ||||
\(342\) | 1.95337 | − | 0.892074i | 0.105626 | − | 0.0482378i | ||||
\(343\) | 2.55675 | + | 0.367605i | 0.138051 | + | 0.0198488i | ||||
\(344\) | −5.27738 | −0.284537 | ||||||||
\(345\) | 7.06368 | + | 8.06873i | 0.380296 | + | 0.434406i | ||||
\(346\) | 3.38437 | 0.181945 | ||||||||
\(347\) | 6.77192 | + | 0.973654i | 0.363535 | + | 0.0522685i | 0.321662 | − | 0.946854i | \(-0.395758\pi\) |
0.0418731 | + | 0.999123i | \(0.486667\pi\) | |||||||
\(348\) | −4.46327 | + | 2.03831i | −0.239256 | + | 0.109265i | ||||
\(349\) | −8.48265 | − | 2.49073i | −0.454066 | − | 0.133326i | 0.0466992 | − | 0.998909i | \(-0.485130\pi\) |
−0.500765 | + | 0.865583i | \(0.666948\pi\) | |||||||
\(350\) | −0.0965152 | + | 0.919723i | −0.00515895 | + | 0.0491613i | ||||
\(351\) | −5.47652 | + | 1.60805i | −0.292315 | + | 0.0858314i | ||||
\(352\) | 2.24835 | − | 3.49850i | 0.119837 | − | 0.186471i | ||||
\(353\) | −4.36065 | − | 1.99144i | −0.232094 | − | 0.105994i | 0.295974 | − | 0.955196i | \(-0.404356\pi\) |
−0.528067 | + | 0.849202i | \(0.677083\pi\) | |||||||
\(354\) | −7.11431 | + | 8.21036i | −0.378122 | + | 0.436376i | ||||
\(355\) | 15.0449 | − | 2.45760i | 0.798500 | − | 0.130436i | ||||
\(356\) | −2.50080 | − | 17.3934i | −0.132542 | − | 0.921851i | ||||
\(357\) | −1.16186 | + | 0.167050i | −0.0614922 | + | 0.00884125i | ||||
\(358\) | 7.39224 | + | 11.5026i | 0.390692 | + | 0.607929i | ||||
\(359\) | 14.6981 | − | 16.9625i | 0.775735 | − | 0.895246i | −0.221058 | − | 0.975261i | \(-0.570951\pi\) |
0.996794 | + | 0.0800143i | \(0.0254966\pi\) | |||||||
\(360\) | 1.49636 | + | 1.66160i | 0.0788649 | + | 0.0875740i | ||||
\(361\) | −12.1044 | − | 7.77904i | −0.637075 | − | 0.409423i | ||||
\(362\) | 3.64081 | + | 12.3995i | 0.191357 | + | 0.651701i | ||||
\(363\) | 4.75713 | − | 4.12208i | 0.249685 | − | 0.216353i | ||||
\(364\) | 1.01291 | + | 0.297417i | 0.0530908 | + | 0.0155889i | ||||
\(365\) | 32.6160 | − | 0.623741i | 1.70720 | − | 0.0326481i | ||||
\(366\) | 1.72218 | − | 11.9781i | 0.0900200 | − | 0.626103i | ||||
\(367\) | − | 11.7148i | − | 0.611507i | −0.952111 | − | 0.305753i | \(-0.901092\pi\) | ||
0.952111 | − | 0.305753i | \(-0.0989083\pi\) | |||||||
\(368\) | −3.99771 | − | 2.64921i | −0.208395 | − | 0.138100i | ||||
\(369\) | −2.52640 | −0.131519 | ||||||||
\(370\) | 7.32455 | − | 11.8911i | 0.380785 | − | 0.618191i | ||||
\(371\) | −0.946642 | − | 2.07286i | −0.0491472 | − | 0.107617i | ||||
\(372\) | 1.38181 | − | 4.70600i | 0.0716433 | − | 0.243995i | ||||
\(373\) | −6.68549 | + | 5.79301i | −0.346162 | + | 0.299951i | −0.810537 | − | 0.585688i | \(-0.800824\pi\) |
0.464375 | + | 0.885639i | \(0.346279\pi\) | |||||||
\(374\) | 25.3238 | − | 7.43574i | 1.30946 | − | 0.384493i | ||||
\(375\) | 10.8904 | + | 2.52965i | 0.562378 | + | 0.130630i | ||||
\(376\) | −1.01435 | + | 2.22112i | −0.0523113 | + | 0.114546i | ||||
\(377\) | 21.1655 | + | 18.3400i | 1.09008 | + | 0.944558i | ||||
\(378\) | 0.0999940 | + | 0.155594i | 0.00514314 | + | 0.00800288i | ||||
\(379\) | 2.68086 | + | 18.6458i | 0.137707 | + | 0.957770i | 0.935119 | + | 0.354335i | \(0.115293\pi\) |
−0.797412 | + | 0.603435i | \(0.793798\pi\) | |||||||
\(380\) | −1.26448 | + | 4.63231i | −0.0648665 | + | 0.237633i | ||||
\(381\) | 3.24219 | − | 2.08363i | 0.166103 | − | 0.106748i | ||||
\(382\) | 5.42663 | + | 4.70220i | 0.277651 | + | 0.240586i | ||||
\(383\) | 11.0887 | + | 5.06402i | 0.566604 | + | 0.258760i | 0.678056 | − | 0.735010i | \(-0.262823\pi\) |
−0.111452 | + | 0.993770i | \(0.535550\pi\) | |||||||
\(384\) | −0.841254 | − | 0.540641i | −0.0429300 | − | 0.0275895i | ||||
\(385\) | 0.212173 | − | 1.70677i | 0.0108134 | − | 0.0869851i | ||||
\(386\) | 14.0091 | + | 16.1673i | 0.713044 | + | 0.822896i | ||||
\(387\) | −1.48681 | + | 5.06361i | −0.0755788 | + | 0.257398i | ||||
\(388\) | 1.63634 | − | 0.747289i | 0.0830723 | − | 0.0379379i | ||||
\(389\) | 1.27432 | − | 8.86309i | 0.0646106 | − | 0.449377i | −0.931677 | − | 0.363288i | \(-0.881654\pi\) |
0.996287 | − | 0.0860886i | \(-0.0274368\pi\) | |||||||
\(390\) | 5.07894 | − | 11.7088i | 0.257182 | − | 0.592896i | ||||
\(391\) | −8.16411 | − | 29.3212i | −0.412877 | − | 1.48284i | ||||
\(392\) | 6.96579i | 0.351826i | ||||||||
\(393\) | 17.5476 | + | 2.52297i | 0.885161 | + | 0.127267i | ||||
\(394\) | 1.44627 | + | 3.16689i | 0.0728621 | + | 0.159546i | ||||
\(395\) | 28.2160 | + | 23.5200i | 1.41970 | + | 1.18342i | ||||
\(396\) | −2.72335 | − | 3.14292i | −0.136854 | − | 0.157938i | ||||
\(397\) | −1.35070 | − | 4.60006i | −0.0677897 | − | 0.230870i | 0.918629 | − | 0.395121i | \(-0.129297\pi\) |
−0.986419 | + | 0.164251i | \(0.947479\pi\) | |||||||
\(398\) | 1.98460 | − | 3.08810i | 0.0994789 | − | 0.154792i | ||||
\(399\) | −0.164993 | + | 0.361285i | −0.00825999 | + | 0.0180869i | ||||
\(400\) | −4.99634 | + | 0.191168i | −0.249817 | + | 0.00955840i | ||||
\(401\) | −4.96815 | + | 3.19283i | −0.248097 | + | 0.159442i | −0.658779 | − | 0.752336i | \(-0.728927\pi\) |
0.410682 | + | 0.911779i | \(0.365291\pi\) | |||||||
\(402\) | −8.92008 | + | 1.28251i | −0.444893 | + | 0.0639660i | ||||
\(403\) | −27.7096 | + | 3.98403i | −1.38031 | + | 0.198459i | ||||
\(404\) | −10.3948 | + | 6.68036i | −0.517163 | + | 0.332360i | ||||
\(405\) | 2.01587 | − | 0.967617i | 0.100169 | − | 0.0480813i | ||||
\(406\) | 0.376994 | − | 0.825503i | 0.0187099 | − | 0.0409690i | ||||
\(407\) | −14.0427 | + | 21.8508i | −0.696070 | + | 1.08311i | ||||
\(408\) | −1.78801 | − | 6.08939i | −0.0885196 | − | 0.301470i | ||||
\(409\) | 22.3285 | + | 25.7684i | 1.10407 | + | 1.27417i | 0.958585 | + | 0.284805i | \(0.0919289\pi\) |
0.145485 | + | 0.989360i | \(0.453526\pi\) | |||||||
\(410\) | 3.61714 | − | 4.33934i | 0.178638 | − | 0.214305i | ||||
\(411\) | 6.38608 | + | 13.9836i | 0.315002 | + | 0.689758i | ||||
\(412\) | 15.1799 | + | 2.18255i | 0.747862 | + | 0.107526i | ||||
\(413\) | − | 2.00932i | − | 0.0988722i | ||||||
\(414\) | −3.66819 | + | 3.08940i | −0.180281 | + | 0.151836i | ||||
\(415\) | 0.501852 | − | 1.15695i | 0.0246350 | − | 0.0567924i | ||||
\(416\) | −0.812294 | + | 5.64963i | −0.0398260 | + | 0.276996i | ||||
\(417\) | 18.4951 | − | 8.44645i | 0.905711 | − | 0.413624i | ||||
\(418\) | 2.51600 | − | 8.56871i | 0.123062 | − | 0.419109i | ||||
\(419\) | −6.56746 | − | 7.57925i | −0.320841 | − | 0.370271i | 0.572302 | − | 0.820043i | \(-0.306051\pi\) |
−0.893143 | + | 0.449772i | \(0.851505\pi\) | |||||||
\(420\) | −0.410412 | − | 0.0510194i | −0.0200261 | − | 0.00248949i | ||||
\(421\) | −31.0905 | − | 19.9807i | −1.51526 | − | 0.973798i | −0.992623 | − | 0.121243i | \(-0.961312\pi\) |
−0.522637 | − | 0.852556i | \(-0.675052\pi\) | |||||||
\(422\) | 3.61806 | + | 1.65231i | 0.176124 | + | 0.0804334i | ||||
\(423\) | 1.84538 | + | 1.59903i | 0.0897253 | + | 0.0777474i | ||||
\(424\) | 10.3649 | − | 6.66112i | 0.503364 | − | 0.323493i | ||||
\(425\) | −24.7587 | − | 19.8482i | −1.20097 | − | 0.962778i | ||||
\(426\) | 0.970226 | + | 6.74807i | 0.0470076 | + | 0.326945i | ||||
\(427\) | 1.21005 | + | 1.88288i | 0.0585585 | + | 0.0911188i | ||||
\(428\) | −9.17447 | − | 7.94972i | −0.443465 | − | 0.384264i | ||||
\(429\) | −9.86053 | + | 21.5915i | −0.476071 | + | 1.04245i | ||||
\(430\) | −6.56852 | − | 9.80348i | −0.316762 | − | 0.472766i | ||||
\(431\) | 16.5380 | − | 4.85600i | 0.796609 | − | 0.233905i | 0.141993 | − | 0.989868i | \(-0.454649\pi\) |
0.654615 | + | 0.755962i | \(0.272831\pi\) | |||||||
\(432\) | −0.755750 | + | 0.654861i | −0.0363610 | + | 0.0315070i | ||||
\(433\) | −4.13586 | + | 14.0854i | −0.198757 | + | 0.676903i | 0.798440 | + | 0.602074i | \(0.205659\pi\) |
−0.997196 | + | 0.0748281i | \(0.976159\pi\) | |||||||
\(434\) | 0.376840 | + | 0.825165i | 0.0180889 | + | 0.0396092i | ||||
\(435\) | −9.34168 | − | 5.75417i | −0.447899 | − | 0.275891i | ||||
\(436\) | 2.03991 | 0.0976940 | ||||||||
\(437\) | −9.83982 | − | 3.03993i | −0.470702 | − | 0.145420i | ||||
\(438\) | 14.5890i | 0.697088i | ||||||||
\(439\) | −4.13157 | + | 28.7357i | −0.197189 | + | 1.37148i | 0.615202 | + | 0.788369i | \(0.289074\pi\) |
−0.812392 | + | 0.583112i | \(0.801835\pi\) | |||||||
\(440\) | 9.29738 | − | 0.177801i | 0.443235 | − | 0.00847634i | ||||
\(441\) | 6.68363 | + | 1.96249i | 0.318268 | + | 0.0934519i | ||||
\(442\) | −27.3762 | + | 23.7216i | −1.30215 | + | 1.12832i | ||||
\(443\) | 6.97586 | + | 23.7576i | 0.331433 | + | 1.12876i | 0.941670 | + | 0.336538i | \(0.109256\pi\) |
−0.610237 | + | 0.792219i | \(0.708926\pi\) | |||||||
\(444\) | 5.25428 | + | 3.37672i | 0.249357 | + | 0.160252i | ||||
\(445\) | 29.1982 | − | 26.2944i | 1.38413 | − | 1.24648i | ||||
\(446\) | 0.381363 | − | 0.440117i | 0.0180581 | − | 0.0208401i | ||||
\(447\) | 2.23053 | + | 3.47077i | 0.105500 | + | 0.164162i | ||||
\(448\) | 0.183072 | − | 0.0263218i | 0.00864934 | − | 0.00124359i | ||||
\(449\) | 3.94484 | + | 27.4370i | 0.186169 | + | 1.29483i | 0.841816 | + | 0.539764i | \(0.181487\pi\) |
−0.655647 | + | 0.755067i | \(0.727604\pi\) | |||||||
\(450\) | −1.22421 | + | 4.84782i | −0.0577097 | + | 0.228528i | ||||
\(451\) | −6.88029 | + | 7.94028i | −0.323980 | + | 0.373893i | ||||
\(452\) | −3.96603 | − | 1.81122i | −0.186546 | − | 0.0851928i | ||||
\(453\) | −3.12251 | + | 4.85872i | −0.146708 | + | 0.228282i | ||||
\(454\) | −13.5077 | + | 3.96621i | −0.633947 | + | 0.186143i | ||||
\(455\) | 0.708228 | + | 2.25180i | 0.0332023 | + | 0.105566i | ||||
\(456\) | −2.06044 | − | 0.605000i | −0.0964890 | − | 0.0283317i | ||||
\(457\) | −1.56167 | + | 0.713192i | −0.0730520 | + | 0.0333617i | −0.451606 | − | 0.892217i | \(-0.649149\pi\) |
0.378554 | + | 0.925579i | \(0.376421\pi\) | |||||||
\(458\) | 17.6762 | + | 2.54146i | 0.825956 | + | 0.118755i | ||||
\(459\) | −6.34647 | −0.296228 | ||||||||
\(460\) | −0.0544845 | − | 10.7237i | −0.00254035 | − | 0.499994i | ||||
\(461\) | −26.5370 | −1.23595 | −0.617976 | − | 0.786197i | \(-0.712047\pi\) | ||||
−0.617976 | + | 0.786197i | \(0.712047\pi\) | |||||||
\(462\) | 0.761337 | + | 0.109464i | 0.0354206 | + | 0.00509272i | ||||
\(463\) | −5.78109 | + | 2.64014i | −0.268670 | + | 0.122698i | −0.545195 | − | 0.838309i | \(-0.683544\pi\) |
0.276525 | + | 0.961007i | \(0.410817\pi\) | |||||||
\(464\) | 4.70792 | + | 1.38237i | 0.218560 | + | 0.0641750i | ||||
\(465\) | 10.4619 | − | 3.29045i | 0.485160 | − | 0.152591i | ||||
\(466\) | 23.2666 | − | 6.83170i | 1.07781 | − | 0.316473i | ||||
\(467\) | 11.6970 | − | 18.2009i | 0.541274 | − | 0.842239i | −0.457625 | − | 0.889145i | \(-0.651300\pi\) |
0.998899 | + | 0.0469063i | \(0.0149362\pi\) | |||||||
\(468\) | 5.19193 | + | 2.37107i | 0.239997 | + | 0.109603i | ||||
\(469\) | 1.09151 | − | 1.25966i | 0.0504011 | − | 0.0581659i | ||||
\(470\) | −5.38858 | + | 0.880230i | −0.248556 | + | 0.0406020i | ||||
\(471\) | 0.186249 | + | 1.29539i | 0.00858189 | + | 0.0596884i | ||||
\(472\) | 10.7533 | − | 1.54609i | 0.494960 | − | 0.0711645i | ||||
\(473\) | 11.8654 | + | 18.4629i | 0.545572 | + | 0.848926i | ||||
\(474\) | −10.7578 | + | 12.4152i | −0.494123 | + | 0.570248i | ||||
\(475\) | −10.1790 | + | 3.41668i | −0.467045 | + | 0.156768i | ||||
\(476\) | 0.987471 | + | 0.634609i | 0.0452607 | + | 0.0290873i | ||||
\(477\) | −3.47117 | − | 11.8217i | −0.158934 | − | 0.541279i | ||||
\(478\) | −4.42470 | + | 3.83403i | −0.202381 | + | 0.175364i | ||||
\(479\) | 0.980297 | + | 0.287841i | 0.0447909 | + | 0.0131518i | 0.304051 | − | 0.952656i | \(-0.401661\pi\) |
−0.259260 | + | 0.965807i | \(0.583479\pi\) | |||||||
\(480\) | −0.0427543 | − | 2.23566i | −0.00195146 | − | 0.102043i | ||||
\(481\) | 5.07340 | − | 35.2863i | 0.231327 | − | 1.60892i | ||||
\(482\) | − | 19.6900i | − | 0.896857i | ||||||
\(483\) | 0.138550 | − | 0.876124i | 0.00630422 | − | 0.0398650i | ||||
\(484\) | −6.29459 | −0.286118 | ||||||||
\(485\) | 3.42487 | + | 2.10961i | 0.155515 | + | 0.0957923i | ||||
\(486\) | 0.415415 | + | 0.909632i | 0.0188436 | + | 0.0412617i | ||||
\(487\) | 7.17898 | − | 24.4493i | 0.325310 | − | 1.10791i | −0.620775 | − | 0.783989i | \(-0.713182\pi\) |
0.946086 | − | 0.323917i | \(-0.105000\pi\) | |||||||
\(488\) | −9.14550 | + | 7.92462i | −0.413997 | + | 0.358731i | ||||
\(489\) | 10.5201 | − | 3.08898i | 0.475735 | − | 0.139689i | ||||
\(490\) | −12.9399 | + | 8.67001i | −0.584567 | + | 0.391671i | ||||
\(491\) | −18.2594 | + | 39.9826i | −0.824037 | + | 1.80439i | −0.295935 | + | 0.955208i | \(0.595631\pi\) |
−0.528102 | + | 0.849181i | \(0.677096\pi\) | |||||||
\(492\) | 1.90933 | + | 1.65444i | 0.0860791 | + | 0.0745880i | ||||
\(493\) | 16.8356 | + | 26.1967i | 0.758237 | + | 1.17984i | ||||
\(494\) | 1.74434 | + | 12.1322i | 0.0784817 | + | 0.545852i | ||||
\(495\) | 2.44878 | − | 8.97087i | 0.110064 | − | 0.403210i | ||||
\(496\) | −4.12607 | + | 2.65167i | −0.185266 | + | 0.119063i | ||||
\(497\) | −0.952940 | − | 0.825728i | −0.0427452 | − | 0.0370389i | ||||
\(498\) | 0.513017 | + | 0.234287i | 0.0229888 | + | 0.0104987i | ||||
\(499\) | −21.9644 | − | 14.1157i | −0.983262 | − | 0.631904i | −0.0529206 | − | 0.998599i | \(-0.516853\pi\) |
−0.930341 | + | 0.366695i | \(0.880489\pi\) | |||||||
\(500\) | −6.57385 | − | 9.04348i | −0.293992 | − | 0.404437i | ||||
\(501\) | 2.71689 | + | 3.13545i | 0.121382 | + | 0.140082i | ||||
\(502\) | −2.78269 | + | 9.47697i | −0.124197 | + | 0.422978i | ||||
\(503\) | −20.5470 | + | 9.38350i | −0.916146 | + | 0.418390i | −0.816970 | − | 0.576680i | \(-0.804348\pi\) |
−0.0991757 | + | 0.995070i | \(0.531621\pi\) | |||||||
\(504\) | 0.0263218 | − | 0.183072i | 0.00117247 | − | 0.00815468i | ||||
\(505\) | −25.3477 | − | 10.9951i | −1.12796 | − | 0.489278i | ||||
\(506\) | −0.280024 | + | 19.9423i | −0.0124486 | + | 0.886545i | ||||
\(507\) | − | 19.5781i | − | 0.869494i | ||||||
\(508\) | −3.81477 | − | 0.548481i | −0.169253 | − | 0.0243349i | ||||
\(509\) | −7.69332 | − | 16.8460i | −0.341000 | − | 0.746686i | 0.658985 | − | 0.752156i | \(-0.270986\pi\) |
−0.999985 | + | 0.00546993i | \(0.998259\pi\) | |||||||
\(510\) | 9.08646 | − | 10.9007i | 0.402355 | − | 0.482690i | ||||
\(511\) | −1.76701 | − | 2.03924i | −0.0781679 | − | 0.0902105i | ||||
\(512\) | 0.281733 | + | 0.959493i | 0.0124509 | + | 0.0424040i | ||||
\(513\) | −1.16099 | + | 1.80653i | −0.0512588 | + | 0.0797603i | ||||
\(514\) | −3.66353 | + | 8.02201i | −0.161591 | + | 0.353836i | ||||
\(515\) | 14.8394 | + | 30.9154i | 0.653903 | + | 1.36230i | ||||
\(516\) | 4.43962 | − | 2.85317i | 0.195443 | − | 0.125604i | ||||
\(517\) | 10.0512 | − | 1.44515i | 0.442053 | − | 0.0635576i | ||||
\(518\) | −1.14343 | + | 0.164400i | −0.0502393 | + | 0.00722332i | ||||
\(519\) | −2.84712 | + | 1.82973i | −0.124975 | + | 0.0803162i | ||||
\(520\) | −11.5060 | + | 5.52289i | −0.504572 | + | 0.242195i | ||||
\(521\) | −16.8644 | + | 36.9279i | −0.738843 | + | 1.61784i | 0.0466049 | + | 0.998913i | \(0.485160\pi\) |
−0.785448 | + | 0.618928i | \(0.787567\pi\) | |||||||
\(522\) | 2.65275 | − | 4.12776i | 0.116108 | − | 0.180667i | ||||
\(523\) | −1.56545 | − | 5.33142i | −0.0684522 | − | 0.233127i | 0.918160 | − | 0.396209i | \(-0.129675\pi\) |
−0.986612 | + | 0.163082i | \(0.947856\pi\) | |||||||
\(524\) | −11.6094 | − | 13.3980i | −0.507160 | − | 0.585294i | ||||
\(525\) | −0.416046 | − | 0.825900i | −0.0181577 | − | 0.0360452i | ||||
\(526\) | −7.07490 | − | 15.4919i | −0.308480 | − | 0.675478i | ||||
\(527\) | −30.8105 | − | 4.42988i | −1.34213 | − | 0.192969i | ||||
\(528\) | 4.15868i | 0.180983i | ||||||||
\(529\) | 22.9909 | + | 0.645789i | 0.999606 | + | 0.0280778i | ||||
\(530\) | 25.2747 | + | 10.9635i | 1.09786 | + | 0.476223i | ||||
\(531\) | 1.54609 | − | 10.7533i | 0.0670945 | − | 0.466653i | ||||
\(532\) | 0.361285 | − | 0.164993i | 0.0156637 | − | 0.00715336i | ||||
\(533\) | 4.06259 | − | 13.8359i | 0.175970 | − | 0.599299i | ||||
\(534\) | 11.5074 | + | 13.2803i | 0.497975 | + | 0.574693i | ||||
\(535\) | 3.34868 | − | 26.9375i | 0.144776 | − | 1.16461i | ||||
\(536\) | 7.58121 | + | 4.87215i | 0.327459 | + | 0.210445i | ||||
\(537\) | −12.4375 | − | 5.68002i | −0.536718 | − | 0.245111i | ||||
\(538\) | 12.2206 | + | 10.5892i | 0.526866 | + | 0.456532i | ||||
\(539\) | 24.3698 | − | 15.6615i | 1.04968 | − | 0.674590i | ||||
\(540\) | −2.15714 | − | 0.588836i | −0.0928287 | − | 0.0253394i | ||||
\(541\) | 5.33096 | + | 37.0777i | 0.229196 | + | 1.59409i | 0.701508 | + | 0.712661i | \(0.252510\pi\) |
−0.472312 | + | 0.881431i | \(0.656581\pi\) | |||||||
\(542\) | 5.78048 | + | 8.99461i | 0.248293 | + | 0.386351i | ||||
\(543\) | −9.76650 | − | 8.46272i | −0.419121 | − | 0.363170i | ||||
\(544\) | −2.63642 | + | 5.77295i | −0.113036 | + | 0.247513i | ||||
\(545\) | 2.53899 | + | 3.78942i | 0.108758 | + | 0.162321i | ||||
\(546\) | −1.01291 | + | 0.297417i | −0.0433485 | + | 0.0127283i | ||||
\(547\) | 17.3837 | − | 15.0630i | 0.743272 | − | 0.644049i | −0.198577 | − | 0.980085i | \(-0.563632\pi\) |
0.941849 | + | 0.336037i | \(0.109087\pi\) | |||||||
\(548\) | 4.33101 | − | 14.7501i | 0.185012 | − | 0.630091i | ||||
\(549\) | 5.02703 | + | 11.0077i | 0.214549 | + | 0.469796i | ||||
\(550\) | 11.9023 | + | 17.0499i | 0.507517 | + | 0.727010i | ||||
\(551\) | 10.5367 | 0.448880 | ||||||||
\(552\) | 4.79536 | + | 0.0673348i | 0.204104 | + | 0.00286596i | ||||
\(553\) | − | 3.03837i | − | 0.129204i | ||||||
\(554\) | −1.28860 | + | 8.96238i | −0.0547472 | + | 0.380775i | ||||
\(555\) | 0.267034 | + | 13.9634i | 0.0113349 | + | 0.592714i | ||||
\(556\) | −19.5089 | − | 5.72834i | −0.827363 | − | 0.242936i | ||||
\(557\) | 32.8176 | − | 28.4366i | 1.39053 | − | 1.20490i | 0.438560 | − | 0.898702i | \(-0.355489\pi\) |
0.951968 | − | 0.306197i | \(-0.0990567\pi\) | |||||||
\(558\) | 1.38181 | + | 4.70600i | 0.0584965 | + | 0.199221i | ||||
\(559\) | −25.3401 | − | 16.2851i | −1.07177 | − | 0.688786i | ||||
\(560\) | 0.276758 | + | 0.307321i | 0.0116952 | + | 0.0129867i | ||||
\(561\) | −17.2837 | + | 19.9464i | −0.729718 | + | 0.842139i | ||||
\(562\) | 2.57094 | + | 4.00046i | 0.108449 | + | 0.168749i | ||||
\(563\) | 8.62933 | − | 1.24071i | 0.363683 | − | 0.0522897i | 0.0419488 | − | 0.999120i | \(-0.486643\pi\) |
0.321734 | + | 0.946830i | \(0.395734\pi\) | |||||||
\(564\) | −0.347502 | − | 2.41693i | −0.0146325 | − | 0.101771i | ||||
\(565\) | −1.57173 | − | 9.62181i | −0.0661234 | − | 0.404793i | ||||
\(566\) | −10.6786 | + | 12.3238i | −0.448856 | + | 0.518008i | ||||
\(567\) | −0.168241 | − | 0.0768329i | −0.00706544 | − | 0.00322668i | ||||
\(568\) | 3.68580 | − | 5.73521i | 0.154653 | − | 0.240644i | ||||
\(569\) | 10.8087 | − | 3.17371i | 0.453123 | − | 0.133049i | −0.0472042 | − | 0.998885i | \(-0.515031\pi\) |
0.500327 | + | 0.865836i | \(0.333213\pi\) | |||||||
\(570\) | −1.44067 | − | 4.58058i | −0.0603429 | − | 0.191859i | ||||
\(571\) | 2.70273 | + | 0.793593i | 0.113106 | + | 0.0332108i | 0.337796 | − | 0.941219i | \(-0.390319\pi\) |
−0.224690 | + | 0.974430i | \(0.572137\pi\) | |||||||
\(572\) | 21.5915 | − | 9.86053i | 0.902788 | − | 0.412289i | ||||
\(573\) | −7.10738 | − | 1.02189i | −0.296915 | − | 0.0426899i | ||||
\(574\) | −0.467270 | −0.0195035 | ||||||||
\(575\) | 19.8529 | − | 13.4485i | 0.827924 | − | 0.560841i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 18.7407 | + | 2.69451i | 0.780187 | + | 0.112174i | 0.520890 | − | 0.853624i | \(-0.325600\pi\) |
0.259297 | + | 0.965798i | \(0.416509\pi\) | |||||||
\(578\) | −21.1741 | + | 9.66990i | −0.880728 | + | 0.402215i | ||||
\(579\) | −20.5259 | − | 6.02695i | −0.853028 | − | 0.250472i | ||||
\(580\) | 3.29179 | + | 10.4662i | 0.136684 | + | 0.434586i | ||||
\(581\) | −0.100086 | + | 0.0293879i | −0.00415227 | + | 0.00121922i | ||||
\(582\) | −0.972558 | + | 1.51333i | −0.0403138 | + | 0.0627295i | ||||
\(583\) | −46.6079 | − | 21.2851i | −1.93030 | − | 0.881539i | ||||
\(584\) | 9.55374 | − | 11.0256i | 0.395337 | − | 0.456243i | ||||
\(585\) | 2.05756 | + | 12.5959i | 0.0850695 | + | 0.520777i | ||||
\(586\) | −2.78073 | − | 19.3404i | −0.114871 | − | 0.798944i | ||||
\(587\) | 39.3061 | − | 5.65137i | 1.62234 | − | 0.233257i | 0.729614 | − | 0.683860i | \(-0.239700\pi\) |
0.892725 | + | 0.450603i | \(0.148791\pi\) | |||||||
\(588\) | −3.76599 | − | 5.86000i | −0.155307 | − | 0.241662i | ||||
\(589\) | −6.89727 | + | 7.95988i | −0.284197 | + | 0.327981i | ||||
\(590\) | 16.2562 | + | 18.0514i | 0.669258 | + | 0.743164i | ||||
\(591\) | −2.92883 | − | 1.88225i | −0.120476 | − | 0.0774253i | ||||
\(592\) | −1.75964 | − | 5.99277i | −0.0723206 | − | 0.246301i | ||||
\(593\) | −0.702890 | + | 0.609058i | −0.0288643 | + | 0.0250110i | −0.669173 | − | 0.743106i | \(-0.733352\pi\) |
0.640309 | + | 0.768117i | \(0.278806\pi\) | |||||||
\(594\) | 3.99022 | + | 1.17163i | 0.163721 | + | 0.0480727i | ||||
\(595\) | 0.0501854 | + | 2.62424i | 0.00205740 | + | 0.107583i | ||||
\(596\) | 0.587150 | − | 4.08372i | 0.0240506 | − | 0.167276i | ||||
\(597\) | 3.67083i | 0.150237i | ||||||||
\(598\) | −11.0206 | − | 25.0568i | −0.450664 | − | 1.02465i | ||||
\(599\) | −2.79655 | −0.114264 | −0.0571320 | − | 0.998367i | \(-0.518196\pi\) | ||||
−0.0571320 | + | 0.998367i | \(0.518196\pi\) | |||||||
\(600\) | 4.09984 | − | 2.86205i | 0.167375 | − | 0.116843i | ||||
\(601\) | 5.59738 | + | 12.2565i | 0.228322 | + | 0.499955i | 0.988770 | − | 0.149443i | \(-0.0477482\pi\) |
−0.760449 | + | 0.649398i | \(0.775021\pi\) | |||||||
\(602\) | −0.274992 | + | 0.936538i | −0.0112079 | + | 0.0381704i | ||||
\(603\) | 6.81067 | − | 5.90148i | 0.277352 | − | 0.240327i | ||||
\(604\) | 5.54162 | − | 1.62717i | 0.225485 | − | 0.0662084i | ||||
\(605\) | −7.83460 | − | 11.6931i | −0.318522 | − | 0.475392i | ||||
\(606\) | 5.13302 | − | 11.2398i | 0.208515 | − | 0.456584i | ||||
\(607\) | 0.220457 | + | 0.191027i | 0.00894807 | + | 0.00775354i | 0.659323 | − | 0.751860i | \(-0.270843\pi\) |
−0.650375 | + | 0.759613i | \(0.725388\pi\) | |||||||
\(608\) | 1.16099 | + | 1.80653i | 0.0470842 | + | 0.0732645i | ||||
\(609\) | 0.129153 | + | 0.898276i | 0.00523352 | + | 0.0364000i | ||||
\(610\) | −26.1041 | − | 7.12564i | −1.05692 | − | 0.288509i | ||||
\(611\) | −11.7246 | + | 7.53493i | −0.474326 | + | 0.304830i | ||||
\(612\) | 4.79634 | + | 4.15605i | 0.193881 | + | 0.167999i | ||||
\(613\) | −19.1566 | − | 8.74852i | −0.773727 | − | 0.353349i | −0.0108905 | − | 0.999941i | \(-0.503467\pi\) |
−0.762836 | + | 0.646591i | \(0.776194\pi\) | |||||||
\(614\) | −20.4648 | − | 13.1519i | −0.825890 | − | 0.530768i | ||||
\(615\) | −0.696904 | + | 5.60606i | −0.0281019 | + | 0.226058i | ||||
\(616\) | −0.503697 | − | 0.581297i | −0.0202945 | − | 0.0234211i | ||||
\(617\) | −0.289794 | + | 0.986949i | −0.0116667 | + | 0.0397331i | −0.965121 | − | 0.261806i | \(-0.915682\pi\) |
0.953454 | + | 0.301539i | \(0.0975002\pi\) | |||||||
\(618\) | −13.9502 | + | 6.37082i | −0.561158 | + | 0.256272i | ||||
\(619\) | 5.53263 | − | 38.4803i | 0.222375 | − | 1.54665i | −0.506642 | − | 0.862157i | \(-0.669113\pi\) |
0.729017 | − | 0.684496i | \(-0.239978\pi\) | |||||||
\(620\) | −10.0614 | − | 4.36435i | −0.404075 | − | 0.175277i | ||||
\(621\) | 1.41562 | − | 4.58214i | 0.0568067 | − | 0.183875i | ||||
\(622\) | − | 5.79012i | − | 0.232163i | ||||||
\(623\) | −3.21700 | − | 0.462535i | −0.128886 | − | 0.0185311i | ||||
\(624\) | −2.37107 | − | 5.19193i | −0.0949189 | − | 0.207843i | ||||
\(625\) | 8.61736 | − | 23.4679i | 0.344694 | − | 0.938715i | ||||
\(626\) | −8.28936 | − | 9.56643i | −0.331309 | − | 0.382352i | ||||
\(627\) | 2.51600 | + | 8.56871i | 0.100479 | + | 0.342201i | ||||
\(628\) | 0.707542 | − | 1.10096i | 0.0282340 | − | 0.0439330i | ||||
\(629\) | 16.4665 | − | 36.0565i | 0.656561 | − | 1.43767i | ||||
\(630\) | 0.372844 | − | 0.178965i | 0.0148545 | − | 0.00713015i | ||||
\(631\) | 5.06079 | − | 3.25237i | 0.201467 | − | 0.129475i | −0.436017 | − | 0.899938i | \(-0.643611\pi\) |
0.637484 | + | 0.770463i | \(0.279975\pi\) | |||||||
\(632\) | 16.2604 | − | 2.33790i | 0.646805 | − | 0.0929965i | ||||
\(633\) | −3.93702 | + | 0.566057i | −0.156482 | + | 0.0224988i | ||||
\(634\) | −5.18721 | + | 3.33362i | −0.206010 | + | 0.132395i | ||||
\(635\) | −3.72920 | − | 7.76915i | −0.147989 | − | 0.308309i | ||||
\(636\) | −5.11824 | + | 11.2074i | −0.202951 | + | 0.444402i | ||||
\(637\) | −21.4952 | + | 33.4472i | −0.851672 | + | 1.32523i | ||||
\(638\) | −5.74883 | − | 19.5787i | −0.227598 | − | 0.775129i | ||||
\(639\) | −4.46449 | − | 5.15229i | −0.176612 | − | 0.203822i | ||||
\(640\) | −1.43173 | + | 1.71760i | −0.0565943 | + | 0.0678940i | ||||
\(641\) | −7.44370 | − | 16.2994i | −0.294008 | − | 0.643789i | 0.703769 | − | 0.710429i | \(-0.251499\pi\) |
−0.997777 | + | 0.0666405i | \(0.978772\pi\) | |||||||
\(642\) | 12.0160 | + | 1.72764i | 0.474234 | + | 0.0681845i | ||||
\(643\) | − | 7.08335i | − | 0.279340i | −0.990198 | − | 0.139670i | \(-0.955396\pi\) | ||
0.990198 | − | 0.139670i | \(-0.0446042\pi\) | |||||||
\(644\) | −0.678448 | + | 0.571400i | −0.0267346 | + | 0.0225163i | ||||
\(645\) | 10.8260 | + | 4.69600i | 0.426272 | + | 0.184905i | ||||
\(646\) | −1.93955 | + | 13.4899i | −0.0763106 | + | 0.530752i | ||||
\(647\) | −44.8445 | + | 20.4798i | −1.76302 | + | 0.805144i | −0.779013 | + | 0.627008i | \(0.784279\pi\) |
−0.984006 | + | 0.178135i | \(0.942994\pi\) | |||||||
\(648\) | 0.281733 | − | 0.959493i | 0.0110675 | − | 0.0376924i | ||||
\(649\) | −29.5861 | − | 34.1442i | −1.16136 | − | 1.34028i | ||||
\(650\) | −24.5806 | − | 14.4999i | −0.964129 | − | 0.568734i | ||||
\(651\) | −0.763136 | − | 0.490438i | −0.0299097 | − | 0.0192218i | ||||
\(652\) | −9.97341 | − | 4.55471i | −0.390589 | − | 0.178376i | ||||
\(653\) | 15.7791 | + | 13.6727i | 0.617484 | + | 0.535053i | 0.906464 | − | 0.422282i | \(-0.138771\pi\) |
−0.288981 | + | 0.957335i | \(0.593316\pi\) | |||||||
\(654\) | −1.71608 | + | 1.10286i | −0.0671041 | + | 0.0431252i | ||||
\(655\) | 10.4389 | − | 38.2420i | 0.407883 | − | 1.49424i | ||||
\(656\) | −0.359545 | − | 2.50069i | −0.0140379 | − | 0.0976354i | ||||
\(657\) | −7.88739 | − | 12.2730i | −0.307716 | − | 0.478816i | ||||
\(658\) | 0.341311 | + | 0.295748i | 0.0133057 | + | 0.0115294i | ||||
\(659\) | −14.0680 | + | 30.8046i | −0.548010 | + | 1.19998i | 0.409695 | + | 0.912223i | \(0.365635\pi\) |
−0.957705 | + | 0.287752i | \(0.907092\pi\) | |||||||
\(660\) | −7.72533 | + | 5.17612i | −0.300708 | + | 0.201480i | ||||
\(661\) | 19.3339 | − | 5.67694i | 0.752001 | − | 0.220808i | 0.116802 | − | 0.993155i | \(-0.462736\pi\) |
0.635200 | + | 0.772348i | \(0.280918\pi\) | |||||||
\(662\) | 1.36370 | − | 1.18166i | 0.0530019 | − | 0.0459264i | ||||
\(663\) | 10.2055 | − | 34.7566i | 0.396347 | − | 1.34983i | ||||
\(664\) | −0.234287 | − | 0.513017i | −0.00909210 | − | 0.0199089i | ||||
\(665\) | 0.756173 | + | 0.465778i | 0.0293231 | + | 0.0180621i | ||||
\(666\) | −6.24577 | −0.242019 | ||||||||
\(667\) | −22.6693 | + | 6.31196i | −0.877757 | + | 0.244400i | ||||
\(668\) | − | 4.14880i | − | 0.160522i | ||||||
\(669\) | −0.0828782 | + | 0.576430i | −0.00320426 | + | 0.0222861i | ||||
\(670\) | 0.385293 | + | 20.1473i | 0.0148852 | + | 0.778359i | ||||
\(671\) | 48.2866 | + | 14.1782i | 1.86408 | + | 0.547344i | ||||
\(672\) | −0.139779 | + | 0.121120i | −0.00539211 | + | 0.00467229i | ||||
\(673\) | 1.15615 | + | 3.93749i | 0.0445664 | + | 0.151779i | 0.978770 | − | 0.204960i | \(-0.0657066\pi\) |
−0.934204 | + | 0.356740i | \(0.883888\pi\) | |||||||
\(674\) | −10.7003 | − | 6.87668i | −0.412161 | − | 0.264880i | ||||
\(675\) | −1.59106 | − | 4.74010i | −0.0612398 | − | 0.182446i | ||||
\(676\) | −12.8209 | + | 14.7961i | −0.493113 | + | 0.569083i | ||||
\(677\) | −17.4042 | − | 27.0814i | −0.668896 | − | 1.04082i | −0.995417 | − | 0.0956330i | \(-0.969512\pi\) |
0.326520 | − | 0.945190i | \(-0.394124\pi\) | |||||||
\(678\) | 4.31566 | − | 0.620498i | 0.165742 | − | 0.0238301i | ||||
\(679\) | −0.0473502 | − | 0.329328i | −0.00181713 | − | 0.0126384i | ||||
\(680\) | −14.0055 | + | 2.28782i | −0.537087 | + | 0.0877338i | ||||
\(681\) | 9.21908 | − | 10.6394i | 0.353276 | − | 0.407702i | ||||
\(682\) | 18.5537 | + | 8.47320i | 0.710458 | + | 0.324455i | ||||
\(683\) | −4.65261 | + | 7.23960i | −0.178027 | + | 0.277016i | −0.918786 | − | 0.394755i | \(-0.870829\pi\) |
0.740759 | + | 0.671770i | \(0.234466\pi\) | |||||||
\(684\) | 2.06044 | − | 0.605000i | 0.0787830 | − | 0.0231328i | ||||
\(685\) | 32.7909 | − | 10.3133i | 1.25288 | − | 0.394050i | ||||
\(686\) | 2.47841 | + | 0.727726i | 0.0946260 | + | 0.0277847i | ||||
\(687\) | −16.2442 | + | 7.41848i | −0.619755 | + | 0.283033i | ||||
\(688\) | −5.22366 | − | 0.751050i | −0.199150 | − | 0.0286335i | ||||
\(689\) | 70.3236 | 2.67912 | ||||||||
\(690\) | 5.84349 | + | 8.99187i | 0.222458 | + | 0.342314i | ||||
\(691\) | −46.7648 | −1.77902 | −0.889509 | − | 0.456918i | \(-0.848953\pi\) | ||||
−0.889509 | + | 0.456918i | \(0.848953\pi\) | |||||||
\(692\) | 3.34992 | + | 0.481646i | 0.127345 | + | 0.0183095i | ||||
\(693\) | −0.699658 | + | 0.319523i | −0.0265778 | + | 0.0121377i | ||||
\(694\) | 6.56442 | + | 1.92749i | 0.249182 | + | 0.0731664i | ||||
\(695\) | −13.6407 | − | 43.3704i | −0.517422 | − | 1.64513i | ||||
\(696\) | −4.70792 | + | 1.38237i | −0.178453 | + | 0.0523986i | ||||
\(697\) | 8.66849 | − | 13.4884i | 0.328343 | − | 0.510911i | ||||
\(698\) | −8.04184 | − | 3.67259i | −0.304388 | − | 0.139009i | ||||
\(699\) | −15.8796 | + | 18.3261i | −0.600623 | + | 0.693156i | ||||
\(700\) | −0.226423 | + | 0.896626i | −0.00855799 | + | 0.0338893i | ||||
\(701\) | −3.69931 | − | 25.7292i | −0.139721 | − | 0.971780i | −0.932216 | − | 0.361902i | \(-0.882127\pi\) |
0.792495 | − | 0.609878i | \(-0.208782\pi\) | |||||||
\(702\) | −5.64963 | + | 0.812294i | −0.213231 | + | 0.0306581i | ||||
\(703\) | −7.25126 | − | 11.2832i | −0.273486 | − | 0.425553i | ||||
\(704\) | 2.72335 | − | 3.14292i | 0.102640 | − | 0.118453i | ||||
\(705\) | 4.05727 | − | 3.65378i | 0.152806 | − | 0.137609i | ||||
\(706\) | −4.03285 | − | 2.59176i | −0.151778 | − | 0.0975420i | ||||
\(707\) | 0.643863 | + | 2.19280i | 0.0242150 | + | 0.0824686i | ||||
\(708\) | −8.21036 | + | 7.11431i | −0.308564 | + | 0.267372i | ||||
\(709\) | 31.3771 | + | 9.21313i | 1.17839 | + | 0.346007i | 0.811553 | − | 0.584279i | \(-0.198623\pi\) |
0.366837 | + | 0.930285i | \(0.380441\pi\) | |||||||
\(710\) | 15.2415 | − | 0.291476i | 0.572004 | − | 0.0109389i | ||||
\(711\) | 2.33790 | − | 16.2604i | 0.0876779 | − | 0.609813i | ||||
\(712\) | − | 17.5723i | − | 0.658550i | ||||||
\(713\) | 10.0708 | − | 21.2570i | 0.377156 | − | 0.796082i | ||||
\(714\) | −1.17381 | −0.0439287 | ||||||||
\(715\) | 45.1914 | + | 27.8364i | 1.69006 | + | 1.04102i | ||||
\(716\) | 5.68002 | + | 12.4375i | 0.212272 | + | 0.464811i | ||||
\(717\) | 1.64947 | − | 5.61757i | 0.0616004 | − | 0.209792i | ||||
\(718\) | 16.9625 | − | 14.6981i | 0.633035 | − | 0.548528i | ||||
\(719\) | 21.6091 | − | 6.34500i | 0.805883 | − | 0.236629i | 0.147256 | − | 0.989098i | \(-0.452956\pi\) |
0.658627 | + | 0.752470i | \(0.271138\pi\) | |||||||
\(720\) | 1.24466 | + | 1.85764i | 0.0463856 | + | 0.0692302i | ||||
\(721\) | 1.17831 | − | 2.58015i | 0.0438827 | − | 0.0960897i | ||||
\(722\) | −10.8741 | − | 9.42250i | −0.404694 | − | 0.350669i | ||||
\(723\) | 10.6452 | + | 16.5643i | 0.395901 | + | 0.616034i | ||||
\(724\) | 1.83912 | + | 12.7914i | 0.0683505 | + | 0.475388i | ||||
\(725\) | −15.3453 | + | 19.1418i | −0.569911 | + | 0.710909i | ||||
\(726\) | 5.29535 | − | 3.40311i | 0.196529 | − | 0.126301i | ||||
\(727\) | 13.3300 | + | 11.5505i | 0.494384 | + | 0.428386i | 0.866033 | − | 0.499988i | \(-0.166662\pi\) |
−0.371649 | + | 0.928373i | \(0.621208\pi\) | |||||||
\(728\) | 0.960271 | + | 0.438541i | 0.0355900 | + | 0.0162534i | ||||
\(729\) | −0.841254 | − | 0.540641i | −0.0311575 | − | 0.0200237i | ||||
\(730\) | 32.3727 | + | 4.02434i | 1.19817 | + | 0.148948i | ||||
\(731\) | −21.9331 | − | 25.3121i | −0.811224 | − | 0.936203i | ||||
\(732\) | 3.40931 | − | 11.6110i | 0.126012 | − | 0.429157i | ||||
\(733\) | −28.5202 | + | 13.0248i | −1.05342 | + | 0.481080i | −0.865398 | − | 0.501085i | \(-0.832935\pi\) |
−0.188021 | + | 0.982165i | \(0.560207\pi\) | |||||||
\(734\) | 1.66719 | − | 11.5955i | 0.0615370 | − | 0.428000i | ||||
\(735\) | 6.19841 | − | 14.2895i | 0.228632 | − | 0.527078i | ||||
\(736\) | −3.58000 | − | 3.19118i | −0.131960 | − | 0.117628i | ||||
\(737\) | − | 37.4772i | − | 1.38049i | ||||||
\(738\) | −2.50069 | − | 0.359545i | −0.0920516 | − | 0.0132350i | ||||
\(739\) | −0.546267 | − | 1.19616i | −0.0200947 | − | 0.0440013i | 0.899319 | − | 0.437294i | \(-0.144063\pi\) |
−0.919413 | + | 0.393293i | \(0.871336\pi\) | |||||||
\(740\) | 8.94228 | − | 10.7277i | 0.328725 | − | 0.394359i | ||||
\(741\) | −8.02658 | − | 9.26316i | −0.294864 | − | 0.340291i | ||||
\(742\) | −0.642008 | − | 2.18648i | −0.0235689 | − | 0.0802682i | ||||
\(743\) | −21.8748 | + | 34.0379i | −0.802510 | + | 1.24873i | 0.162550 | + | 0.986700i | \(0.448028\pi\) |
−0.965060 | + | 0.262029i | \(0.915608\pi\) | |||||||
\(744\) | 2.03747 | − | 4.46145i | 0.0746974 | − | 0.163565i | ||||
\(745\) | 8.31688 | − | 3.99211i | 0.304707 | − | 0.146260i | ||||
\(746\) | −7.44188 | + | 4.78260i | −0.272466 | + | 0.175104i | ||||
\(747\) | −0.558243 | + | 0.0802632i | −0.0204250 | + | 0.00293668i | ||||
\(748\) | 26.1243 | − | 3.75610i | 0.955198 | − | 0.137337i | ||||
\(749\) | −1.88884 | + | 1.21388i | −0.0690167 | + | 0.0443543i | ||||
\(750\) | 10.4195 | + | 4.05377i | 0.380468 | + | 0.148023i | ||||
\(751\) | 19.8169 | − | 43.3930i | 0.723130 | − | 1.58343i | −0.0863344 | − | 0.996266i | \(-0.527515\pi\) |
0.809465 | − | 0.587168i | \(-0.199757\pi\) | |||||||
\(752\) | −1.32013 | + | 2.05416i | −0.0481401 | + | 0.0749075i | ||||
\(753\) | −2.78269 | − | 9.47697i | −0.101407 | − | 0.345360i | ||||
\(754\) | 18.3400 | + | 21.1655i | 0.667904 | + | 0.770802i | ||||
\(755\) | 9.92010 | + | 8.26908i | 0.361029 | + | 0.300942i | ||||
\(756\) | 0.0768329 | + | 0.168241i | 0.00279439 | + | 0.00611885i | ||||
\(757\) | −16.6307 | − | 2.39113i | −0.604453 | − | 0.0869072i | −0.166708 | − | 0.986006i | \(-0.553314\pi\) |
−0.437745 | + | 0.899099i | \(0.644223\pi\) | |||||||
\(758\) | 18.8375i | 0.684210i | ||||||||
\(759\) | −10.5461 | − | 16.9280i | −0.382798 | − | 0.614446i | ||||
\(760\) | −1.91086 | + | 4.40521i | −0.0693141 | + | 0.159794i | ||||
\(761\) | 1.37004 | − | 9.52885i | 0.0496640 | − | 0.345421i | −0.949805 | − | 0.312842i | \(-0.898719\pi\) |
0.999469 | − | 0.0325786i | \(-0.0103719\pi\) | |||||||
\(762\) | 3.50572 | − | 1.60101i | 0.126999 | − | 0.0579985i | ||||
\(763\) | 0.106295 | − | 0.362008i | 0.00384814 | − | 0.0131056i | ||||
\(764\) | 4.70220 | + | 5.42663i | 0.170120 | + | 0.196329i | ||||
\(765\) | −1.75066 | + | 14.0827i | −0.0632954 | + | 0.509163i | ||||
\(766\) | 10.2551 | + | 6.59056i | 0.370532 | + | 0.238127i | ||||
\(767\) | 56.4044 | + | 25.7590i | 2.03664 | + | 0.930104i | ||||
\(768\) | −0.755750 | − | 0.654861i | −0.0272708 | − | 0.0236303i | ||||
\(769\) | 3.62571 | − | 2.33011i | 0.130747 | − | 0.0840257i | −0.473633 | − | 0.880723i | \(-0.657058\pi\) |
0.604379 | + | 0.796697i | \(0.293421\pi\) | |||||||
\(770\) | 0.452913 | − | 1.65920i | 0.0163218 | − | 0.0597935i | ||||
\(771\) | −1.25507 | − | 8.72920i | −0.0452002 | − | 0.314374i | ||||
\(772\) | 11.5656 | + | 17.9965i | 0.416256 | + | 0.647708i | ||||
\(773\) | −6.71972 | − | 5.82267i | −0.241691 | − | 0.209427i | 0.525589 | − | 0.850739i | \(-0.323845\pi\) |
−0.767280 | + | 0.641312i | \(0.778390\pi\) | |||||||
\(774\) | −2.19230 | + | 4.80047i | −0.0788007 | + | 0.172549i | ||||
\(775\) | −4.41556 | − | 24.1226i | −0.158612 | − | 0.866508i | ||||
\(776\) | 1.72603 | − | 0.506808i | 0.0619609 | − | 0.0181934i | ||||
\(777\) | 0.873030 | − | 0.756485i | 0.0313198 | − | 0.0271387i | ||||
\(778\) | 2.52270 | − | 8.59153i | 0.0904432 | − | 0.308021i | ||||
\(779\) | −2.25374 | − | 4.93500i | −0.0807485 | − | 0.176815i | ||||
\(780\) | 6.69357 | − | 10.8668i | 0.239668 | − | 0.389093i | ||||
\(781\) | −28.3516 | −1.01450 | ||||||||
\(782\) | −3.90816 | − | 30.1847i | −0.139756 | − | 1.07940i | ||||
\(783\) | 4.90668i | 0.175350i | ||||||||
\(784\) | −0.991336 | + | 6.89489i | −0.0354048 | + | 0.246246i | ||||
\(785\) | 2.92583 | − | 0.0559530i | 0.104427 | − | 0.00199705i | ||||
\(786\) | 17.0100 | + | 4.99458i | 0.606725 | + | 0.178151i | ||||
\(787\) | 4.13462 | − | 3.58267i | 0.147383 | − | 0.127708i | −0.578048 | − | 0.816002i | \(-0.696186\pi\) |
0.725432 | + | 0.688294i | \(0.241640\pi\) | |||||||
\(788\) | 0.980854 | + | 3.34048i | 0.0349415 | + | 0.119000i | ||||
\(789\) | 14.3273 | + | 9.20762i | 0.510066 | + | 0.327800i | ||||
\(790\) | 24.5816 | + | 27.2962i | 0.874574 | + | 0.971154i | ||||
\(791\) | −0.528086 | + | 0.609443i | −0.0187766 | + | 0.0216693i | ||||
\(792\) | −2.24835 | − | 3.49850i | −0.0798916 | − | 0.124314i | ||||
\(793\) | −68.3675 | + | 9.82976i | −2.42780 | + | 0.349065i | ||||
\(794\) | −0.682295 | − | 4.74546i | −0.0242137 | − | 0.168410i | ||||
\(795\) | −27.1897 | + | 4.44148i | −0.964321 | + | 0.157523i | ||||
\(796\) | 2.40388 | − | 2.77423i | 0.0852033 | − | 0.0983298i | ||||
\(797\) | −14.2875 | − | 6.52488i | −0.506089 | − | 0.231123i | 0.145973 | − | 0.989289i | \(-0.453369\pi\) |
−0.652062 | + | 0.758165i | \(0.726096\pi\) | |||||||
\(798\) | −0.214730 | + | 0.334126i | −0.00760136 | + | 0.0118279i | ||||
\(799\) | −14.8690 | + | 4.36593i | −0.526027 | + | 0.154455i | ||||
\(800\) | −4.97269 | − | 0.521832i | −0.175811 | − | 0.0184495i | ||||
\(801\) | −16.8605 | − | 4.95069i | −0.595737 | − | 0.174924i | ||||
\(802\) | −5.37197 | + | 2.45329i | −0.189691 | + | 0.0866288i | ||||
\(803\) | −60.0533 | − | 8.63435i | −2.11923 | − | 0.304700i | ||||
\(804\) | −9.01181 | −0.317822 | ||||||||
\(805\) | −1.90589 | − | 0.549117i | −0.0671738 | − | 0.0193538i | ||||
\(806\) | −27.9945 | −0.986064 | ||||||||
\(807\) | −16.0055 | − | 2.30125i | −0.563422 | − | 0.0810079i | ||||
\(808\) | −11.2398 | + | 5.13302i | −0.395413 | + | 0.180579i | ||||
\(809\) | 20.2067 | + | 5.93322i | 0.710430 | + | 0.208601i | 0.616930 | − | 0.787018i | \(-0.288376\pi\) |
0.0935001 | + | 0.995619i | \(0.470194\pi\) | |||||||
\(810\) | 2.13305 | − | 0.670880i | 0.0749479 | − | 0.0235723i | ||||
\(811\) | −2.73598 | + | 0.803357i | −0.0960734 | + | 0.0282097i | −0.329416 | − | 0.944185i | \(-0.606852\pi\) |
0.233343 | + | 0.972395i | \(0.425034\pi\) | |||||||
\(812\) | 0.490638 | − | 0.763448i | 0.0172180 | − | 0.0267918i | ||||
\(813\) | −9.72570 | − | 4.44158i | −0.341095 | − | 0.155773i | ||||
\(814\) | −17.0094 | + | 19.6299i | −0.596181 | + | 0.688029i | ||||
\(815\) | −3.95246 | − | 24.1961i | −0.138449 | − | 0.847551i | ||||
\(816\) | −0.903197 | − | 6.28187i | −0.0316182 | − | 0.219910i | ||||
\(817\) | −11.2174 | + | 1.61282i | −0.392449 | + | 0.0564256i | ||||
\(818\) | 18.4340 | + | 28.6838i | 0.644528 | + | 1.00291i | ||||
\(819\) | 0.691317 | − | 0.797822i | 0.0241566 | − | 0.0278782i | ||||
\(820\) | 4.19787 | − | 3.78040i | 0.146596 | − | 0.132017i | ||||
\(821\) | −40.4507 | − | 25.9961i | −1.41174 | − | 0.907271i | −0.411749 | − | 0.911297i | \(-0.635082\pi\) |
−0.999992 | + | 0.00402691i | \(0.998718\pi\) | |||||||
\(822\) | 4.33101 | + | 14.7501i | 0.151061 | + | 0.514467i | ||||
\(823\) | 5.13546 | − | 4.44990i | 0.179011 | − | 0.155114i | −0.560746 | − | 0.827988i | \(-0.689486\pi\) |
0.739757 | + | 0.672874i | \(0.234940\pi\) | |||||||
\(824\) | 14.7148 | + | 4.32066i | 0.512615 | + | 0.150517i | ||||
\(825\) | −19.2308 | − | 7.90840i | −0.669529 | − | 0.275335i | ||||
\(826\) | 0.285956 | − | 1.98887i | 0.00994969 | − | 0.0692016i | ||||
\(827\) | 52.5877i | 1.82865i | 0.404976 | + | 0.914327i | \(0.367280\pi\) | ||||
−0.404976 | + | 0.914327i | \(0.632720\pi\) | |||||||
\(828\) | −4.07052 | + | 2.53592i | −0.141460 | + | 0.0881293i | ||||
\(829\) | 12.6916 | 0.440798 | 0.220399 | − | 0.975410i | \(-0.429264\pi\) | ||||
0.220399 | + | 0.975410i | \(0.429264\pi\) | |||||||
\(830\) | 0.661395 | − | 1.07375i | 0.0229574 | − | 0.0372705i | ||||
\(831\) | −3.76139 | − | 8.23630i | −0.130481 | − | 0.285714i | ||||
\(832\) | −1.60805 | + | 5.47652i | −0.0557492 | + | 0.189864i | ||||
\(833\) | −33.4103 | + | 28.9502i | −1.15760 | + | 1.00307i | ||||
\(834\) | 19.5089 | − | 5.72834i | 0.675539 | − | 0.198356i | ||||
\(835\) | 7.70698 | − | 5.16383i | 0.266711 | − | 0.178702i | ||||
\(836\) | 3.70985 | − | 8.12343i | 0.128308 | − | 0.280955i | ||||
\(837\) | −3.70670 | − | 3.21188i | −0.128122 | − | 0.111019i | ||||
\(838\) | −5.42197 | − | 8.43675i | −0.187299 | − | 0.291443i | ||||
\(839\) | −5.35897 | − | 37.2724i | −0.185012 | − | 1.28679i | −0.844697 | − | 0.535245i | \(-0.820219\pi\) |
0.659685 | − | 0.751542i | \(-0.270690\pi\) | |||||||
\(840\) | −0.398974 | − | 0.108908i | −0.0137659 | − | 0.00375768i | ||||
\(841\) | −4.14276 | + | 2.66239i | −0.142854 | + | 0.0918067i | ||||
\(842\) | −27.9305 | − | 24.2019i | −0.962549 | − | 0.834054i | ||||
\(843\) | −4.32563 | − | 1.97545i | −0.148982 | − | 0.0680380i | ||||
\(844\) | 3.34609 | + | 2.15040i | 0.115177 | + | 0.0740198i | ||||
\(845\) | −43.4436 | − | 5.40059i | −1.49450 | − | 0.185786i | ||||
\(846\) | 1.59903 | + | 1.84538i | 0.0549757 | + | 0.0634454i | ||||
\(847\) | −0.327997 | + | 1.11705i | −0.0112701 | + | 0.0383825i | ||||
\(848\) | 11.2074 | − | 5.11824i | 0.384863 | − | 0.175761i | ||||
\(849\) | 2.32069 | − | 16.1407i | 0.0796458 | − | 0.553949i | ||||
\(850\) | −21.6820 | − | 23.1697i | −0.743686 | − | 0.794713i | ||||
\(851\) | 22.3598 | + | 19.9314i | 0.766485 | + | 0.683239i | ||||
\(852\) | 6.81746i | 0.233562i | ||||||||
\(853\) | 46.7307 | + | 6.71886i | 1.60003 | + | 0.230049i | 0.883817 | − | 0.467833i | \(-0.154965\pi\) |
0.716212 | + | 0.697883i | \(0.245874\pi\) | |||||||
\(854\) | 0.929773 | + | 2.03592i | 0.0318162 | + | 0.0696677i | ||||
\(855\) | 3.68841 | + | 3.07455i | 0.126141 | + | 0.105147i | ||||
\(856\) | −7.94972 | − | 9.17447i | −0.271716 | − | 0.313577i | ||||
\(857\) | 10.8893 | + | 37.0856i | 0.371972 | + | 1.26682i | 0.906693 | + | 0.421791i | \(0.138598\pi\) |
−0.534721 | + | 0.845029i | \(0.679583\pi\) | |||||||
\(858\) | −12.8330 | + | 19.9685i | −0.438110 | + | 0.681713i | ||||
\(859\) | −17.6518 | + | 38.6520i | −0.602271 | + | 1.31879i | 0.325465 | + | 0.945554i | \(0.394479\pi\) |
−0.927736 | + | 0.373236i | \(0.878248\pi\) | |||||||
\(860\) | −5.10648 | − | 10.6385i | −0.174130 | − | 0.362770i | ||||
\(861\) | 0.393092 | − | 0.252625i | 0.0133966 | − | 0.00860944i | ||||
\(862\) | 17.0608 | − | 2.45297i | 0.581092 | − | 0.0835484i | ||||
\(863\) | −5.20161 | + | 0.747879i | −0.177065 | + | 0.0254581i | −0.230277 | − | 0.973125i | \(-0.573963\pi\) |
0.0532120 | + | 0.998583i | \(0.483054\pi\) | |||||||
\(864\) | −0.841254 | + | 0.540641i | −0.0286200 | + | 0.0183930i | ||||
\(865\) | 3.27478 | + | 6.82244i | 0.111346 | + | 0.231970i | ||||
\(866\) | −6.09832 | + | 13.3535i | −0.207229 | + | 0.453769i | ||||
\(867\) | 12.5849 | − | 19.5824i | 0.427405 | − | 0.665055i | ||||
\(868\) | 0.255571 | + | 0.870396i | 0.00867466 | + | 0.0295432i | ||||
\(869\) | −44.7383 | − | 51.6307i | −1.51764 | − | 1.75145i | ||||
\(870\) | −8.42769 | − | 7.02506i | −0.285726 | − | 0.238172i | ||||
\(871\) | 21.3677 | + | 46.7886i | 0.724016 | + | 1.58537i | ||||
\(872\) | 2.01915 | + | 0.290310i | 0.0683770 | + | 0.00983112i | ||||
\(873\) | − | 1.79890i | − | 0.0608835i | ||||||
\(874\) | −9.30704 | − | 4.40934i | −0.314815 | − | 0.149148i | ||||
\(875\) | −1.94743 | + | 0.695378i | −0.0658351 | + | 0.0235081i | ||||
\(876\) | −2.07623 | + | 14.4405i | −0.0701492 | + | 0.487898i | ||||
\(877\) | 13.1390 | − | 6.00037i | 0.443672 | − | 0.202618i | −0.181036 | − | 0.983476i | \(-0.557945\pi\) |
0.624708 | + | 0.780858i | \(0.285218\pi\) | |||||||
\(878\) | −8.17904 | + | 27.8553i | −0.276029 | + | 0.940069i | ||||
\(879\) | 12.7955 | + | 14.7668i | 0.431582 | + | 0.498072i | ||||
\(880\) | 9.22805 | + | 1.14716i | 0.311078 | + | 0.0386709i | ||||
\(881\) | −18.8624 | − | 12.1221i | −0.635490 | − | 0.408405i | 0.182848 | − | 0.983141i | \(-0.441468\pi\) |
−0.818339 | + | 0.574736i | \(0.805105\pi\) | |||||||
\(882\) | 6.33631 | + | 2.89369i | 0.213355 | + | 0.0974358i | ||||
\(883\) | 16.4859 | + | 14.2851i | 0.554793 | + | 0.480731i | 0.886549 | − | 0.462634i | \(-0.153096\pi\) |
−0.331756 | + | 0.943365i | \(0.607641\pi\) | |||||||
\(884\) | −30.4735 | + | 19.5841i | −1.02493 | + | 0.658685i | ||||
\(885\) | −23.4349 | − | 6.39703i | −0.787756 | − | 0.215034i | ||||
\(886\) | 3.52380 | + | 24.5085i | 0.118384 | + | 0.823381i | ||||
\(887\) | −4.47969 | − | 6.97053i | −0.150413 | − | 0.234047i | 0.757868 | − | 0.652408i | \(-0.226241\pi\) |
−0.908281 | + | 0.418361i | \(0.862605\pi\) | |||||||
\(888\) | 4.72024 | + | 4.09011i | 0.158401 | + | 0.137255i | ||||
\(889\) | −0.296114 | + | 0.648400i | −0.00993135 | + | 0.0217466i | ||||
\(890\) | 32.6431 | − | 21.8715i | 1.09420 | − | 0.733134i | ||||
\(891\) | −3.99022 | + | 1.17163i | −0.133677 | + | 0.0392512i | ||||
\(892\) | 0.440117 | − | 0.381363i | 0.0147362 | − | 0.0127690i | ||||
\(893\) | −1.47728 | + | 5.03115i | −0.0494353 | + | 0.168361i | ||||
\(894\) | 1.71388 | + | 3.75288i | 0.0573208 | + | 0.125515i | ||||
\(895\) | −16.0348 | + | 26.0318i | −0.535983 | + | 0.870149i | ||||
\(896\) | 0.184955 | 0.00617890 | ||||||||
\(897\) | 22.8178 | + | 15.1210i | 0.761865 | + | 0.504875i | ||||
\(898\) | 27.7191i | 0.924999i | ||||||||
\(899\) | −3.42490 | + | 23.8207i | −0.114227 | + | 0.794464i | ||||
\(900\) | −1.90166 | + | 4.62425i | −0.0633888 | + | 0.154142i | ||||
\(901\) | 75.0261 | + | 22.0297i | 2.49948 | + | 0.733914i | ||||
\(902\) | −7.94028 | + | 6.88029i | −0.264382 | + | 0.229089i | ||||
\(903\) | −0.274992 | − | 0.936538i | −0.00915117 | − | 0.0311660i | ||||
\(904\) | −3.66790 | − | 2.35721i | −0.121992 | − | 0.0783998i | ||||
\(905\) | −21.4727 | + | 19.3373i | −0.713778 | + | 0.642794i | ||||
\(906\) | −3.78219 | + | 4.36488i | −0.125655 | + | 0.145014i | ||||
\(907\) | −23.0359 | − | 35.8446i | −0.764895 | − | 1.19020i | −0.977060 | − | 0.212966i | \(-0.931688\pi\) |
0.212165 | − | 0.977234i | \(-0.431949\pi\) | |||||||
\(908\) | −13.9346 | + | 2.00350i | −0.462437 | + | 0.0664884i | ||||
\(909\) | 1.75850 | + | 12.2306i | 0.0583256 | + | 0.405664i | ||||
\(910\) | 0.380555 | + | 2.32967i | 0.0126153 | + | 0.0772279i | ||||
\(911\) | 9.45456 | − | 10.9111i | 0.313244 | − | 0.361502i | −0.577195 | − | 0.816607i | \(-0.695853\pi\) |
0.890438 | + | 0.455104i | \(0.150398\pi\) | |||||||
\(912\) | −1.95337 | − | 0.892074i | −0.0646825 | − | 0.0295395i | ||||
\(913\) | −1.26803 | + | 1.97310i | −0.0419657 | + | 0.0652999i | ||||
\(914\) | −1.64727 | + | 0.483684i | −0.0544870 | + | 0.0159988i | ||||
\(915\) | 25.8126 | − | 8.11848i | 0.853338 | − | 0.268389i | ||||
\(916\) | 17.1346 | + | 5.03118i | 0.566144 | + | 0.166235i | ||||
\(917\) | −2.98258 | + | 1.36210i | −0.0984936 | + | 0.0449805i | ||||
\(918\) | −6.28187 | − | 0.903197i | −0.207333 | − | 0.0298099i | ||||
\(919\) | 32.3386 | 1.06675 | 0.533376 | − | 0.845878i | \(-0.320923\pi\) | ||||
0.533376 | + | 0.845878i | \(0.320923\pi\) | |||||||
\(920\) | 1.47221 | − | 10.6223i | 0.0485372 | − | 0.350206i | ||||
\(921\) | 24.3265 | 0.801586 | ||||||||
\(922\) | −26.2669 | − | 3.77661i | −0.865055 | − | 0.124376i | ||||
\(923\) | 35.3958 | − | 16.1647i | 1.16507 | − | 0.532068i | ||||
\(924\) | 0.738010 | + | 0.216699i | 0.0242787 | + | 0.00712888i | ||||
\(925\) | 31.0583 | + | 3.25924i | 1.02119 | + | 0.107163i | ||||
\(926\) | −6.09798 | + | 1.79053i | −0.200392 | + | 0.0588404i | ||||
\(927\) | 8.29129 | − | 12.9015i | 0.272322 | − | 0.423741i | ||||
\(928\) | 4.46327 | + | 2.03831i | 0.146514 | + | 0.0669107i | ||||
\(929\) | −12.8353 | + | 14.8128i | −0.421114 | + | 0.485991i | −0.926176 | − | 0.377092i | \(-0.876924\pi\) |
0.505062 | + | 0.863083i | \(0.331470\pi\) | |||||||
\(930\) | 10.8237 | − | 1.76807i | 0.354924 | − | 0.0579772i | ||||
\(931\) | 2.12882 | + | 14.8063i | 0.0697693 | + | 0.485256i | ||||
\(932\) | 24.0021 | − | 3.45098i | 0.786214 | − | 0.113041i | ||||
\(933\) | 3.13038 | + | 4.87096i | 0.102484 | + | 0.159468i | ||||
\(934\) | 14.1682 | − | 16.3510i | 0.463599 | − | 0.535022i | ||||
\(935\) | 39.4932 | + | 43.8545i | 1.29157 | + | 1.43419i | ||||
\(936\) | 4.80164 | + | 3.08583i | 0.156947 | + | 0.100863i | ||||
\(937\) | 0.0467759 | + | 0.159304i | 0.00152810 | + | 0.00520423i | 0.960253 | − | 0.279129i | \(-0.0900458\pi\) |
−0.958725 | + | 0.284334i | \(0.908228\pi\) | |||||||
\(938\) | 1.25966 | − | 1.09151i | 0.0411295 | − | 0.0356389i | ||||
\(939\) | 12.1455 | + | 3.56623i | 0.396352 | + | 0.116379i | ||||
\(940\) | −5.45900 | + | 0.104397i | −0.178053 | + | 0.00340505i | ||||
\(941\) | 1.97886 | − | 13.7633i | 0.0645089 | − | 0.448670i | −0.931810 | − | 0.362946i | \(-0.881771\pi\) |
0.996319 | − | 0.0857232i | \(-0.0273201\pi\) | |||||||
\(942\) | 1.30871i | 0.0426401i | ||||||||
\(943\) | 7.80508 | + | 9.26731i | 0.254168 | + | 0.301785i | ||||
\(944\) | 10.8639 | 0.353588 | ||||||||
\(945\) | −0.216900 | + | 0.352130i | −0.00705577 | + | 0.0114548i | ||||
\(946\) | 9.11708 | + | 19.9636i | 0.296422 | + | 0.649073i | ||||
\(947\) | −9.27106 | + | 31.5743i | −0.301269 | + | 1.02603i | 0.660194 | + | 0.751095i | \(0.270474\pi\) |
−0.961463 | + | 0.274933i | \(0.911344\pi\) | |||||||
\(948\) | −12.4152 | + | 10.7578i | −0.403226 | + | 0.349397i | ||||
\(949\) | 79.8968 | − | 23.4598i | 2.59356 | − | 0.761538i | ||||
\(950\) | −10.5617 | + | 1.93328i | −0.342665 | + | 0.0627238i | ||||
\(951\) | 2.56147 | − | 5.60883i | 0.0830613 | − | 0.181879i | ||||
\(952\) | 0.887106 | + | 0.768682i | 0.0287513 | + | 0.0249131i | ||||
\(953\) | −2.94027 | − | 4.57515i | −0.0952447 | − | 0.148204i | 0.790361 | − | 0.612641i | \(-0.209893\pi\) |
−0.885606 | + | 0.464438i | \(0.846257\pi\) | |||||||
\(954\) | −1.75343 | − | 12.1954i | −0.0567694 | − | 0.394840i | ||||
\(955\) | −4.22811 | + | 15.4893i | −0.136818 | + | 0.501222i | ||||
\(956\) | −4.92531 | + | 3.16530i | −0.159296 | + | 0.102373i | ||||
\(957\) | 15.4213 | + | 13.3626i | 0.498499 | + | 0.431952i | ||||
\(958\) | 0.929355 | + | 0.424422i | 0.0300261 | + | 0.0137125i | ||||
\(959\) | −2.39191 | − | 1.53718i | −0.0772387 | − | 0.0496383i | ||||
\(960\) | 0.275848 | − | 2.21899i | 0.00890297 | − | 0.0716175i | ||||
\(961\) | 4.54748 | + | 5.24808i | 0.146693 | + | 0.169293i | ||||
\(962\) | 10.0435 | − | 34.2051i | 0.323816 | − | 1.10282i | ||||
\(963\) | −11.0425 | + | 5.04296i | −0.355841 | + | 0.162507i | ||||
\(964\) | 2.80219 | − | 19.4896i | 0.0902523 | − | 0.627719i | ||||
\(965\) | −19.0358 | + | 43.8842i | −0.612783 | + | 1.41268i | ||||
\(966\) | 0.261825 | − | 0.847489i | 0.00842407 | − | 0.0272675i | ||||
\(967\) | 13.3804i | 0.430284i | 0.976583 | + | 0.215142i | \(0.0690214\pi\) | ||||
−0.976583 | + | 0.215142i | \(0.930979\pi\) | |||||||
\(968\) | −6.23052 | − | 0.895814i | −0.200256 | − | 0.0287925i | ||||
\(969\) | −5.66152 | − | 12.3970i | −0.181874 | − | 0.398249i | ||||
\(970\) | 3.08978 | + | 2.57554i | 0.0992069 | + | 0.0826957i | ||||
\(971\) | 17.3474 | + | 20.0200i | 0.556706 | + | 0.642472i | 0.962432 | − | 0.271522i | \(-0.0875270\pi\) |
−0.405727 | + | 0.913994i | \(0.632982\pi\) | |||||||
\(972\) | 0.281733 | + | 0.959493i | 0.00903658 | + | 0.0307758i | ||||
\(973\) | −2.03313 | + | 3.16362i | −0.0651793 | + | 0.101421i | ||||
\(974\) | 10.5854 | − | 23.1788i | 0.339178 | − | 0.742697i | ||||
\(975\) | 28.5178 | − | 1.09113i | 0.913299 | − | 0.0349443i | ||||
\(976\) | −10.1802 | + | 6.54242i | −0.325860 | + | 0.209418i | ||||
\(977\) | 27.8093 | − | 3.99838i | 0.889699 | − | 0.127919i | 0.317717 | − | 0.948185i | \(-0.397084\pi\) |
0.571982 | + | 0.820266i | \(0.306175\pi\) | |||||||
\(978\) | 10.8526 | − | 1.56037i | 0.347029 | − | 0.0498952i | ||||
\(979\) | −61.4767 | + | 39.5087i | −1.96481 | + | 1.26270i | ||||
\(980\) | −14.0421 | + | 6.74022i | −0.448559 | + | 0.215308i | ||||
\(981\) | 0.847410 | − | 1.85557i | 0.0270557 | − | 0.0592437i | ||||
\(982\) | −23.7637 | + | 36.9770i | −0.758330 | + | 1.17998i | ||||
\(983\) | 8.41437 | + | 28.6567i | 0.268377 | + | 0.914007i | 0.977856 | + | 0.209281i | \(0.0671122\pi\) |
−0.709479 | + | 0.704727i | \(0.751070\pi\) | |||||||
\(984\) | 1.65444 | + | 1.90933i | 0.0527417 | + | 0.0608671i | ||||
\(985\) | −4.98459 | + | 5.97983i | −0.158822 | + | 0.190533i | ||||
\(986\) | 12.9361 | + | 28.3260i | 0.411968 | + | 0.902084i | ||||
\(987\) | −0.447022 | − | 0.0642721i | −0.0142289 | − | 0.00204580i | ||||
\(988\) | 12.2569i | 0.389945i | ||||||||
\(989\) | 23.1676 | − | 10.1896i | 0.736687 | − | 0.324012i | ||||
\(990\) | 3.70054 | − | 8.53106i | 0.117611 | − | 0.271135i | ||||
\(991\) | −2.03199 | + | 14.1328i | −0.0645484 | + | 0.448944i | 0.931758 | + | 0.363079i | \(0.118275\pi\) |
−0.996307 | + | 0.0858651i | \(0.972635\pi\) | |||||||
\(992\) | −4.46145 | + | 2.03747i | −0.141651 | + | 0.0646899i | ||||
\(993\) | −0.508369 | + | 1.73135i | −0.0161326 | + | 0.0549426i | ||||
\(994\) | −0.825728 | − | 0.952940i | −0.0261905 | − | 0.0302254i | ||||
\(995\) | 8.14552 | + | 1.01259i | 0.258230 | + | 0.0321013i | ||||
\(996\) | 0.474453 | + | 0.304912i | 0.0150336 | + | 0.00966152i | ||||
\(997\) | −9.49509 | − | 4.33626i | −0.300712 | − | 0.137331i | 0.259344 | − | 0.965785i | \(-0.416493\pi\) |
−0.560057 | + | 0.828454i | \(0.689221\pi\) | |||||||
\(998\) | −19.7320 | − | 17.0979i | −0.624605 | − | 0.541223i | ||||
\(999\) | 5.25428 | − | 3.37672i | 0.166238 | − | 0.106835i |
(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 | 690.2.r.b.169.10 | yes | 120 | |
5.4 | even | 2 | inner | 690.2.r.b.169.6 | yes | 120 | |
23.3 | even | 11 | inner | 690.2.r.b.49.6 | ✓ | 120 | |
115.49 | even | 22 | inner | 690.2.r.b.49.10 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.r.b.49.6 | ✓ | 120 | 23.3 | even | 11 | inner | |
690.2.r.b.49.10 | yes | 120 | 115.49 | even | 22 | inner | |
690.2.r.b.169.6 | yes | 120 | 5.4 | even | 2 | inner | |
690.2.r.b.169.10 | yes | 120 | 1.1 | even | 1 | trivial |