Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(67,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.w (of order \(20\), degree \(8\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 67.10 | ||
Character | \(\chi\) | \(=\) | 300.67 |
Dual form | 300.2.w.a.103.10 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{13}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.665012 | − | 1.24810i | −0.470235 | − | 0.882541i | ||||
\(3\) | 0.987688 | + | 0.156434i | 0.570242 | + | 0.0903175i | ||||
\(4\) | −1.11552 | + | 1.66001i | −0.557759 | + | 0.830003i | ||||
\(5\) | −0.495035 | + | 2.18058i | −0.221386 | + | 0.975186i | ||||
\(6\) | −0.461578 | − | 1.33677i | −0.188439 | − | 0.545733i | ||||
\(7\) | −0.602522 | + | 0.602522i | −0.227732 | + | 0.227732i | −0.811745 | − | 0.584013i | \(-0.801482\pi\) |
0.584013 | + | 0.811745i | \(0.301482\pi\) | |||||||
\(8\) | 2.81369 | + | 0.288356i | 0.994790 | + | 0.101949i | ||||
\(9\) | 0.951057 | + | 0.309017i | 0.317019 | + | 0.103006i | ||||
\(10\) | 3.05079 | − | 0.832260i | 0.964746 | − | 0.263184i | ||||
\(11\) | −5.05542 | + | 1.64261i | −1.52427 | + | 0.495264i | −0.946984 | − | 0.321280i | \(-0.895887\pi\) |
−0.577282 | + | 0.816545i | \(0.695887\pi\) | |||||||
\(12\) | −1.36147 | + | 1.46506i | −0.393021 | + | 0.422927i | ||||
\(13\) | 1.03755 | + | 2.03631i | 0.287764 | + | 0.564770i | 0.988957 | − | 0.148202i | \(-0.0473487\pi\) |
−0.701193 | + | 0.712972i | \(0.747349\pi\) | |||||||
\(14\) | 1.15269 | + | 0.351325i | 0.308070 | + | 0.0938955i | ||||
\(15\) | −0.830058 | + | 2.07630i | −0.214320 | + | 0.536097i | ||||
\(16\) | −1.51124 | − | 3.70353i | −0.377810 | − | 0.925883i | ||||
\(17\) | 0.799814 | + | 5.04983i | 0.193983 | + | 1.22476i | 0.871922 | + | 0.489645i | \(0.162873\pi\) |
−0.677939 | + | 0.735118i | \(0.737127\pi\) | |||||||
\(18\) | −0.246779 | − | 1.39252i | −0.0581664 | − | 0.328219i | ||||
\(19\) | 6.89765 | + | 5.01144i | 1.58243 | + | 1.14970i | 0.913843 | + | 0.406067i | \(0.133100\pi\) |
0.668586 | + | 0.743635i | \(0.266900\pi\) | |||||||
\(20\) | −3.06756 | − | 3.25424i | −0.685927 | − | 0.727670i | ||||
\(21\) | −0.689359 | + | 0.500849i | −0.150431 | + | 0.109294i | ||||
\(22\) | 5.41205 | + | 5.21733i | 1.15385 | + | 1.11234i | ||||
\(23\) | 0.489789 | − | 0.961266i | 0.102128 | − | 0.200438i | −0.834288 | − | 0.551328i | \(-0.814121\pi\) |
0.936416 | + | 0.350891i | \(0.114121\pi\) | |||||||
\(24\) | 2.73394 | + | 0.724964i | 0.558063 | + | 0.147983i | ||||
\(25\) | −4.50988 | − | 2.15893i | −0.901976 | − | 0.431786i | ||||
\(26\) | 1.85153 | − | 2.64914i | 0.363116 | − | 0.519538i | ||||
\(27\) | 0.891007 | + | 0.453990i | 0.171474 | + | 0.0873705i | ||||
\(28\) | −0.328066 | − | 1.67231i | −0.0619987 | − | 0.316038i | ||||
\(29\) | −4.22121 | − | 5.81000i | −0.783860 | − | 1.07889i | −0.994846 | − | 0.101401i | \(-0.967667\pi\) |
0.210986 | − | 0.977489i | \(-0.432333\pi\) | |||||||
\(30\) | 3.14343 | − | 0.344764i | 0.573909 | − | 0.0629451i | ||||
\(31\) | 4.29812 | − | 5.91585i | 0.771964 | − | 1.06252i | −0.224159 | − | 0.974553i | \(-0.571964\pi\) |
0.996124 | − | 0.0879654i | \(-0.0280365\pi\) | |||||||
\(32\) | −3.61739 | + | 4.34908i | −0.639471 | + | 0.768815i | ||||
\(33\) | −5.25014 | + | 0.831540i | −0.913932 | + | 0.144753i | ||||
\(34\) | 5.77081 | − | 4.35645i | 0.989686 | − | 0.747124i | ||||
\(35\) | −1.01558 | − | 1.61212i | −0.171664 | − | 0.272498i | ||||
\(36\) | −1.57389 | + | 1.23405i | −0.262315 | + | 0.205674i | ||||
\(37\) | 0.750341 | − | 0.382318i | 0.123355 | − | 0.0628527i | −0.391224 | − | 0.920296i | \(-0.627948\pi\) |
0.514579 | + | 0.857443i | \(0.327948\pi\) | |||||||
\(38\) | 1.66776 | − | 11.9416i | 0.270547 | − | 1.93719i | ||||
\(39\) | 0.706227 | + | 2.17354i | 0.113087 | + | 0.348046i | ||||
\(40\) | −2.02166 | + | 5.99274i | −0.319652 | + | 0.947535i | ||||
\(41\) | 2.32436 | − | 7.15365i | 0.363004 | − | 1.11721i | −0.588217 | − | 0.808703i | \(-0.700170\pi\) |
0.951221 | − | 0.308509i | \(-0.0998300\pi\) | |||||||
\(42\) | 1.08354 | + | 0.527320i | 0.167194 | + | 0.0813673i | ||||
\(43\) | 4.73376 | + | 4.73376i | 0.721891 | + | 0.721891i | 0.968990 | − | 0.247099i | \(-0.0794772\pi\) |
−0.247099 | + | 0.968990i | \(0.579477\pi\) | |||||||
\(44\) | 2.91268 | − | 10.2244i | 0.439103 | − | 1.54138i | ||||
\(45\) | −1.14464 | + | 1.92088i | −0.170633 | + | 0.286348i | ||||
\(46\) | −1.52547 | + | 0.0279462i | −0.224919 | + | 0.00412044i | ||||
\(47\) | 0.212949 | − | 1.34451i | 0.0310618 | − | 0.196116i | −0.967278 | − | 0.253720i | \(-0.918346\pi\) |
0.998340 | + | 0.0576034i | \(0.0183459\pi\) | |||||||
\(48\) | −0.913273 | − | 3.89435i | −0.131820 | − | 0.562100i | ||||
\(49\) | 6.27393i | 0.896276i | ||||||||
\(50\) | 0.304563 | + | 7.06451i | 0.0430718 | + | 0.999072i | ||||
\(51\) | 5.11277i | 0.715932i | ||||||||
\(52\) | −4.53768 | − | 0.549197i | −0.629264 | − | 0.0761599i | ||||
\(53\) | −1.49865 | + | 9.46211i | −0.205856 | + | 1.29972i | 0.640853 | + | 0.767664i | \(0.278581\pi\) |
−0.846709 | + | 0.532057i | \(0.821419\pi\) | |||||||
\(54\) | −0.0259036 | − | 1.41398i | −0.00352503 | − | 0.192418i | ||||
\(55\) | −1.07923 | − | 11.8369i | −0.145523 | − | 1.59609i | ||||
\(56\) | −1.86905 | + | 1.52157i | −0.249762 | + | 0.203328i | ||||
\(57\) | 6.02877 | + | 6.02877i | 0.798530 | + | 0.798530i | ||||
\(58\) | −4.44432 | + | 9.13223i | −0.583567 | + | 1.19912i | ||||
\(59\) | −0.145594 | + | 0.448091i | −0.0189547 | + | 0.0583365i | −0.960086 | − | 0.279703i | \(-0.909764\pi\) |
0.941132 | + | 0.338040i | \(0.109764\pi\) | |||||||
\(60\) | −2.52072 | − | 3.69405i | −0.325423 | − | 0.476899i | ||||
\(61\) | −2.80052 | − | 8.61911i | −0.358570 | − | 1.10356i | −0.953911 | − | 0.300091i | \(-0.902983\pi\) |
0.595341 | − | 0.803473i | \(-0.297017\pi\) | |||||||
\(62\) | −10.2419 | − | 1.43038i | −1.30072 | − | 0.181658i | ||||
\(63\) | −0.759222 | + | 0.386843i | −0.0956530 | + | 0.0487376i | ||||
\(64\) | 7.83370 | + | 1.62269i | 0.979213 | + | 0.202836i | ||||
\(65\) | −4.95396 | + | 1.25442i | −0.614463 | + | 0.155592i | ||||
\(66\) | 4.52925 | + | 5.99973i | 0.557513 | + | 0.738515i | ||||
\(67\) | 2.40925 | − | 0.381587i | 0.294336 | − | 0.0466183i | −0.00752000 | − | 0.999972i | \(-0.502394\pi\) |
0.301856 | + | 0.953353i | \(0.402394\pi\) | |||||||
\(68\) | −9.27495 | − | 4.30548i | −1.12475 | − | 0.522116i | ||||
\(69\) | 0.634135 | − | 0.872811i | 0.0763408 | − | 0.105074i | ||||
\(70\) | −1.33672 | + | 2.33963i | −0.159768 | + | 0.279639i | ||||
\(71\) | −1.56587 | − | 2.15523i | −0.185834 | − | 0.255779i | 0.705928 | − | 0.708284i | \(-0.250530\pi\) |
−0.891762 | + | 0.452505i | \(0.850530\pi\) | |||||||
\(72\) | 2.58687 | + | 1.14372i | 0.304866 | + | 0.134789i | ||||
\(73\) | −11.2492 | − | 5.73174i | −1.31662 | − | 0.670849i | −0.352370 | − | 0.935861i | \(-0.614624\pi\) |
−0.964245 | + | 0.265012i | \(0.914624\pi\) | |||||||
\(74\) | −0.976158 | − | 0.682257i | −0.113476 | − | 0.0793107i | ||||
\(75\) | −4.11663 | − | 2.83785i | −0.475347 | − | 0.327687i | ||||
\(76\) | −16.0135 | + | 5.85979i | −1.83687 | + | 0.672164i | ||||
\(77\) | 2.05630 | − | 4.03571i | 0.234337 | − | 0.459912i | ||||
\(78\) | 2.24315 | − | 2.32688i | 0.253987 | − | 0.263467i | ||||
\(79\) | 1.31623 | − | 0.956297i | 0.148087 | − | 0.107592i | −0.511275 | − | 0.859417i | \(-0.670826\pi\) |
0.659362 | + | 0.751826i | \(0.270826\pi\) | |||||||
\(80\) | 8.82398 | − | 1.46201i | 0.986550 | − | 0.163457i | ||||
\(81\) | 0.809017 | + | 0.587785i | 0.0898908 | + | 0.0653095i | ||||
\(82\) | −10.4742 | + | 1.85622i | −1.15668 | + | 0.204985i | ||||
\(83\) | 0.566819 | + | 3.57875i | 0.0622165 | + | 0.392819i | 0.999071 | + | 0.0430994i | \(0.0137232\pi\) |
−0.936854 | + | 0.349720i | \(0.886277\pi\) | |||||||
\(84\) | −0.0624194 | − | 1.70305i | −0.00681052 | − | 0.185818i | ||||
\(85\) | −11.4075 | − | 0.755778i | −1.23732 | − | 0.0819757i | ||||
\(86\) | 2.76021 | − | 9.05622i | 0.297641 | − | 0.976557i | ||||
\(87\) | −3.26036 | − | 6.39881i | −0.349547 | − | 0.686025i | ||||
\(88\) | −14.6980 | + | 3.16402i | −1.56682 | + | 0.337286i | ||||
\(89\) | 8.73414 | − | 2.83789i | 0.925817 | − | 0.300816i | 0.192966 | − | 0.981205i | \(-0.438189\pi\) |
0.732851 | + | 0.680389i | \(0.238189\pi\) | |||||||
\(90\) | 3.15866 | + | 0.151221i | 0.332952 | + | 0.0159401i | ||||
\(91\) | −1.85207 | − | 0.601773i | −0.194149 | − | 0.0630829i | ||||
\(92\) | 1.04934 | + | 1.88536i | 0.109401 | + | 0.196563i | ||||
\(93\) | 5.17064 | − | 5.17064i | 0.536171 | − | 0.536171i | ||||
\(94\) | −1.81969 | + | 0.628331i | −0.187687 | + | 0.0648074i | ||||
\(95\) | −14.3424 | + | 12.5601i | −1.47150 | + | 1.28864i | ||||
\(96\) | −4.25320 | + | 3.72965i | −0.434091 | + | 0.380655i | ||||
\(97\) | 13.8500 | + | 2.19363i | 1.40625 | + | 0.222729i | 0.812990 | − | 0.582278i | \(-0.197839\pi\) |
0.593265 | + | 0.805007i | \(0.297839\pi\) | |||||||
\(98\) | 7.83051 | − | 4.17224i | 0.791001 | − | 0.421460i | ||||
\(99\) | −5.31558 | −0.534236 | ||||||||
\(100\) | 8.61469 | − | 5.07811i | 0.861469 | − | 0.507811i | ||||
\(101\) | 9.36790 | 0.932141 | 0.466070 | − | 0.884748i | \(-0.345669\pi\) | ||||
0.466070 | + | 0.884748i | \(0.345669\pi\) | |||||||
\(102\) | 6.38126 | − | 3.40006i | 0.631839 | − | 0.336656i | ||||
\(103\) | −0.872918 | − | 0.138257i | −0.0860111 | − | 0.0136228i | 0.113281 | − | 0.993563i | \(-0.463864\pi\) |
−0.199292 | + | 0.979940i | \(0.563864\pi\) | |||||||
\(104\) | 2.33216 | + | 6.02872i | 0.228687 | + | 0.591164i | ||||
\(105\) | −0.750886 | − | 1.75114i | −0.0732789 | − | 0.170894i | ||||
\(106\) | 12.8063 | − | 4.42195i | 1.24386 | − | 0.429497i | ||||
\(107\) | 1.86547 | − | 1.86547i | 0.180342 | − | 0.180342i | −0.611163 | − | 0.791505i | \(-0.709298\pi\) |
0.791505 | + | 0.611163i | \(0.209298\pi\) | |||||||
\(108\) | −1.74756 | + | 0.972642i | −0.168159 | + | 0.0935925i | ||||
\(109\) | −10.3478 | − | 3.36221i | −0.991143 | − | 0.322042i | −0.231822 | − | 0.972758i | \(-0.574469\pi\) |
−0.759321 | + | 0.650717i | \(0.774469\pi\) | |||||||
\(110\) | −14.0560 | + | 9.21868i | −1.34018 | + | 0.878966i | ||||
\(111\) | 0.800911 | − | 0.260232i | 0.0760191 | − | 0.0247001i | ||||
\(112\) | 3.14202 | + | 1.32091i | 0.296893 | + | 0.124814i | ||||
\(113\) | 3.44325 | + | 6.75776i | 0.323914 | + | 0.635717i | 0.994338 | − | 0.106261i | \(-0.0338879\pi\) |
−0.670424 | + | 0.741978i | \(0.733888\pi\) | |||||||
\(114\) | 3.51531 | − | 11.5337i | 0.329239 | − | 1.08023i | ||||
\(115\) | 1.85366 | + | 1.54389i | 0.172854 | + | 0.143968i | ||||
\(116\) | 14.3535 | − | 0.526078i | 1.33269 | − | 0.0488451i | ||||
\(117\) | 0.357515 | + | 2.25726i | 0.0330523 | + | 0.208684i | ||||
\(118\) | 0.656085 | − | 0.116270i | 0.0603975 | − | 0.0107035i | ||||
\(119\) | −3.52454 | − | 2.56073i | −0.323094 | − | 0.234741i | ||||
\(120\) | −2.93424 | + | 5.60270i | −0.267858 | + | 0.511454i | ||||
\(121\) | 13.9599 | − | 10.1425i | 1.26908 | − | 0.922044i | ||||
\(122\) | −8.89515 | + | 9.22714i | −0.805329 | + | 0.835386i | ||||
\(123\) | 3.41482 | − | 6.70196i | 0.307904 | − | 0.604296i | ||||
\(124\) | 5.02572 | + | 13.7341i | 0.451323 | + | 1.23336i | ||||
\(125\) | 6.94027 | − | 8.76543i | 0.620756 | − | 0.784004i | ||||
\(126\) | 0.987711 | + | 0.690331i | 0.0879923 | + | 0.0614996i | ||||
\(127\) | −7.91405 | − | 4.03241i | −0.702258 | − | 0.357819i | 0.0661223 | − | 0.997812i | \(-0.478937\pi\) |
−0.768381 | + | 0.639993i | \(0.778937\pi\) | |||||||
\(128\) | −3.18422 | − | 10.8564i | −0.281448 | − | 0.959576i | ||||
\(129\) | 3.93496 | + | 5.41600i | 0.346453 | + | 0.476852i | ||||
\(130\) | 4.86009 | + | 5.34884i | 0.426258 | + | 0.469124i | ||||
\(131\) | 5.86303 | − | 8.06976i | 0.512255 | − | 0.705058i | −0.472043 | − | 0.881576i | \(-0.656483\pi\) |
0.984298 | + | 0.176517i | \(0.0564832\pi\) | |||||||
\(132\) | 4.47626 | − | 9.64286i | 0.389609 | − | 0.839303i | ||||
\(133\) | −7.17549 | + | 1.13649i | −0.622194 | + | 0.0985458i | ||||
\(134\) | −2.07844 | − | 2.75323i | −0.179550 | − | 0.237842i | ||||
\(135\) | −1.43104 | + | 1.71817i | −0.123165 | + | 0.147877i | ||||
\(136\) | 0.794279 | + | 14.4393i | 0.0681089 | + | 1.23816i | ||||
\(137\) | −5.85136 | + | 2.98142i | −0.499915 | + | 0.254719i | −0.685718 | − | 0.727868i | \(-0.740512\pi\) |
0.185803 | + | 0.982587i | \(0.440512\pi\) | |||||||
\(138\) | −1.51106 | − | 0.211035i | −0.128630 | − | 0.0179645i | ||||
\(139\) | 3.53918 | + | 10.8925i | 0.300189 | + | 0.923887i | 0.981429 | + | 0.191827i | \(0.0614411\pi\) |
−0.681240 | + | 0.732060i | \(0.738559\pi\) | |||||||
\(140\) | 3.80902 | + | 0.112478i | 0.321921 | + | 0.00950615i | ||||
\(141\) | 0.420654 | − | 1.29464i | 0.0354255 | − | 0.109028i | ||||
\(142\) | −1.64863 | + | 3.38761i | −0.138350 | + | 0.284282i | ||||
\(143\) | −8.59010 | − | 8.59010i | −0.718340 | − | 0.718340i | ||||
\(144\) | −0.292820 | − | 3.98927i | −0.0244016 | − | 0.332439i | ||||
\(145\) | 14.7588 | − | 6.32855i | 1.22565 | − | 0.525558i | ||||
\(146\) | 0.327039 | + | 17.8518i | 0.0270659 | + | 1.47742i | ||||
\(147\) | −0.981460 | + | 6.19669i | −0.0809494 | + | 0.511095i | ||||
\(148\) | −0.202369 | + | 1.67205i | −0.0166346 | + | 0.137442i | ||||
\(149\) | 4.55567i | 0.373215i | 0.982435 | + | 0.186607i | \(0.0597492\pi\) | ||||
−0.982435 | + | 0.186607i | \(0.940251\pi\) | |||||||
\(150\) | −0.804318 | + | 7.02517i | −0.0656723 | + | 0.573603i | ||||
\(151\) | − | 3.84939i | − | 0.313259i | −0.987657 | − | 0.156629i | \(-0.949937\pi\) | ||
0.987657 | − | 0.156629i | \(-0.0500628\pi\) | |||||||
\(152\) | 17.9628 | + | 16.0896i | 1.45697 | + | 1.30504i | ||||
\(153\) | −0.799814 | + | 5.04983i | −0.0646611 | + | 0.408254i | ||||
\(154\) | −6.40444 | + | 0.117327i | −0.516084 | + | 0.00945449i | ||||
\(155\) | 10.7723 | + | 12.3009i | 0.865251 | + | 0.988036i | ||||
\(156\) | −4.39590 | − | 1.25229i | −0.351954 | − | 0.100263i | ||||
\(157\) | 1.45279 | + | 1.45279i | 0.115945 | + | 0.115945i | 0.762699 | − | 0.646754i | \(-0.223874\pi\) |
−0.646754 | + | 0.762699i | \(0.723874\pi\) | |||||||
\(158\) | −2.06886 | − | 1.00684i | −0.164590 | − | 0.0800999i | ||||
\(159\) | −2.96040 | + | 9.11117i | −0.234775 | + | 0.722563i | ||||
\(160\) | −7.69278 | − | 10.0410i | −0.608168 | − | 0.793808i | ||||
\(161\) | 0.284075 | + | 0.874293i | 0.0223882 | + | 0.0689039i | ||||
\(162\) | 0.195610 | − | 1.40062i | 0.0153686 | − | 0.110043i | ||||
\(163\) | 16.0946 | − | 8.20060i | 1.26062 | − | 0.642320i | 0.309433 | − | 0.950921i | \(-0.399861\pi\) |
0.951192 | + | 0.308601i | \(0.0998607\pi\) | |||||||
\(164\) | 9.28223 | + | 11.8385i | 0.724820 | + | 0.924430i | ||||
\(165\) | 0.785758 | − | 11.8600i | 0.0611712 | − | 0.923300i | ||||
\(166\) | 4.08971 | − | 3.08736i | 0.317423 | − | 0.239626i | ||||
\(167\) | 21.6970 | − | 3.43646i | 1.67896 | − | 0.265921i | 0.757060 | − | 0.653345i | \(-0.226635\pi\) |
0.921902 | + | 0.387424i | \(0.126635\pi\) | |||||||
\(168\) | −2.08407 | + | 1.21045i | −0.160789 | + | 0.0933884i | ||||
\(169\) | 4.57118 | − | 6.29169i | 0.351629 | − | 0.483976i | ||||
\(170\) | 6.64284 | + | 14.7403i | 0.509482 | + | 1.13053i | ||||
\(171\) | 5.01144 | + | 6.89765i | 0.383234 | + | 0.527476i | ||||
\(172\) | −13.1387 | + | 2.57747i | −1.00181 | + | 0.196531i | ||||
\(173\) | 15.4000 | + | 7.84670i | 1.17084 | + | 0.596574i | 0.927667 | − | 0.373409i | \(-0.121811\pi\) |
0.243175 | + | 0.969982i | \(0.421811\pi\) | |||||||
\(174\) | −5.81820 | + | 8.32455i | −0.441076 | + | 0.631082i | ||||
\(175\) | 4.01810 | − | 1.41650i | 0.303740 | − | 0.107077i | ||||
\(176\) | 13.7234 | + | 16.2405i | 1.03444 | + | 1.22418i | ||||
\(177\) | −0.213898 | + | 0.419799i | −0.0160776 | + | 0.0315540i | ||||
\(178\) | −9.35029 | − | 9.01386i | −0.700834 | − | 0.675618i | ||||
\(179\) | −3.19230 | + | 2.31934i | −0.238604 | + | 0.173356i | −0.700661 | − | 0.713494i | \(-0.747112\pi\) |
0.462057 | + | 0.886850i | \(0.347112\pi\) | |||||||
\(180\) | −1.91181 | − | 4.04289i | −0.142498 | − | 0.301340i | ||||
\(181\) | −1.70152 | − | 1.23623i | −0.126473 | − | 0.0918880i | 0.522750 | − | 0.852486i | \(-0.324906\pi\) |
−0.649223 | + | 0.760598i | \(0.724906\pi\) | |||||||
\(182\) | 0.480572 | + | 2.71175i | 0.0356224 | + | 0.201008i | ||||
\(183\) | −1.41771 | − | 8.95109i | −0.104800 | − | 0.661684i | ||||
\(184\) | 1.65530 | − | 2.56347i | 0.122031 | − | 0.188982i | ||||
\(185\) | 0.462231 | + | 1.82544i | 0.0339839 | + | 0.134209i | ||||
\(186\) | −9.89203 | − | 3.01495i | −0.725319 | − | 0.221067i | ||||
\(187\) | −12.3383 | − | 24.2152i | −0.902264 | − | 1.77079i | ||||
\(188\) | 1.99434 | + | 1.85332i | 0.145452 | + | 0.135167i | ||||
\(189\) | −0.810390 | + | 0.263312i | −0.0589472 | + | 0.0191531i | ||||
\(190\) | 25.2141 | + | 9.54822i | 1.82922 | + | 0.692701i | ||||
\(191\) | −17.2629 | − | 5.60905i | −1.24910 | − | 0.405857i | −0.391501 | − | 0.920178i | \(-0.628044\pi\) |
−0.857598 | + | 0.514321i | \(0.828044\pi\) | |||||||
\(192\) | 7.48341 | + | 2.82817i | 0.540069 | + | 0.204106i | ||||
\(193\) | −1.60192 | + | 1.60192i | −0.115309 | + | 0.115309i | −0.762407 | − | 0.647098i | \(-0.775983\pi\) |
0.647098 | + | 0.762407i | \(0.275983\pi\) | |||||||
\(194\) | −6.47255 | − | 18.7450i | −0.464702 | − | 1.34581i | ||||
\(195\) | −5.08920 | + | 0.464007i | −0.364445 | + | 0.0332283i | ||||
\(196\) | −10.4148 | − | 6.99869i | −0.743912 | − | 0.499906i | ||||
\(197\) | 17.8169 | + | 2.82191i | 1.26940 | + | 0.201053i | 0.754558 | − | 0.656233i | \(-0.227851\pi\) |
0.514840 | + | 0.857286i | \(0.327851\pi\) | |||||||
\(198\) | 3.53493 | + | 6.63439i | 0.251216 | + | 0.471486i | ||||
\(199\) | −8.98972 | −0.637264 | −0.318632 | − | 0.947878i | \(-0.603223\pi\) | ||||
−0.318632 | + | 0.947878i | \(0.603223\pi\) | |||||||
\(200\) | −12.0669 | − | 7.37501i | −0.853256 | − | 0.521492i | ||||
\(201\) | 2.43928 | 0.172053 | ||||||||
\(202\) | −6.22977 | − | 11.6921i | −0.438325 | − | 0.822653i | ||||
\(203\) | 6.04403 | + | 0.957280i | 0.424208 | + | 0.0671879i | ||||
\(204\) | −8.48723 | − | 5.70339i | −0.594225 | − | 0.399317i | ||||
\(205\) | 14.4485 | + | 8.60976i | 1.00913 | + | 0.601332i | ||||
\(206\) | 0.407942 | + | 1.18143i | 0.0284227 | + | 0.0823143i | ||||
\(207\) | 0.762865 | − | 0.762865i | 0.0530228 | − | 0.0530228i | ||||
\(208\) | 5.97354 | − | 6.91994i | 0.414190 | − | 0.479812i | ||||
\(209\) | −43.1023 | − | 14.0048i | −2.98145 | − | 0.968732i | ||||
\(210\) | −1.68626 | + | 2.10171i | −0.116363 | + | 0.145032i | ||||
\(211\) | −7.69235 | + | 2.49940i | −0.529564 | + | 0.172066i | −0.561581 | − | 0.827422i | \(-0.689807\pi\) |
0.0320176 | + | 0.999487i | \(0.489807\pi\) | |||||||
\(212\) | −14.0354 | − | 13.0429i | −0.963954 | − | 0.895792i | ||||
\(213\) | −1.20944 | − | 2.37365i | −0.0828691 | − | 0.162640i | ||||
\(214\) | −3.56886 | − | 1.08774i | −0.243962 | − | 0.0743563i | ||||
\(215\) | −12.6657 | + | 7.97898i | −0.863795 | + | 0.544162i | ||||
\(216\) | 2.37610 | + | 1.53432i | 0.161673 | + | 0.104397i | ||||
\(217\) | 0.974720 | + | 6.15414i | 0.0661683 | + | 0.417770i | ||||
\(218\) | 2.68505 | + | 15.1511i | 0.181854 | + | 1.02616i | ||||
\(219\) | −10.2140 | − | 7.42093i | −0.690200 | − | 0.501460i | ||||
\(220\) | 20.8532 | + | 11.4128i | 1.40593 | + | 0.769448i | ||||
\(221\) | −9.45314 | + | 6.86811i | −0.635887 | + | 0.461999i | ||||
\(222\) | −0.857412 | − | 0.826562i | −0.0575457 | − | 0.0554752i | ||||
\(223\) | −6.78859 | + | 13.3234i | −0.454597 | + | 0.892198i | 0.543991 | + | 0.839091i | \(0.316912\pi\) |
−0.998589 | + | 0.0531069i | \(0.983088\pi\) | |||||||
\(224\) | −0.440854 | − | 4.79997i | −0.0294558 | − | 0.320712i | ||||
\(225\) | −3.62201 | − | 3.44689i | −0.241467 | − | 0.229793i | ||||
\(226\) | 6.14457 | − | 8.79152i | 0.408731 | − | 0.584803i | ||||
\(227\) | 18.7616 | + | 9.55950i | 1.24525 | + | 0.634486i | 0.947377 | − | 0.320120i | \(-0.103723\pi\) |
0.297872 | + | 0.954606i | \(0.403723\pi\) | |||||||
\(228\) | −16.7330 | + | 3.28259i | −1.10817 | + | 0.217395i | ||||
\(229\) | 10.7154 | + | 14.7484i | 0.708092 | + | 0.974605i | 0.999836 | + | 0.0181085i | \(0.00576441\pi\) |
−0.291744 | + | 0.956496i | \(0.594236\pi\) | |||||||
\(230\) | 0.694223 | − | 3.34026i | 0.0457757 | − | 0.220250i | ||||
\(231\) | 2.66230 | − | 3.66435i | 0.175167 | − | 0.241096i | ||||
\(232\) | −10.2018 | − | 17.5648i | −0.669783 | − | 1.15318i | ||||
\(233\) | 1.39509 | − | 0.220960i | 0.0913953 | − | 0.0144756i | −0.110569 | − | 0.993868i | \(-0.535267\pi\) |
0.201965 | + | 0.979393i | \(0.435267\pi\) | |||||||
\(234\) | 2.57954 | − | 1.94732i | 0.168630 | − | 0.127300i | ||||
\(235\) | 2.82639 | + | 1.12993i | 0.184373 | + | 0.0737085i | ||||
\(236\) | −0.581422 | − | 0.741540i | −0.0378473 | − | 0.0482701i | ||||
\(237\) | 1.44962 | − | 0.738620i | 0.0941631 | − | 0.0479785i | ||||
\(238\) | −0.852188 | + | 6.10190i | −0.0552392 | + | 0.395527i | ||||
\(239\) | −2.39820 | − | 7.38091i | −0.155127 | − | 0.477431i | 0.843047 | − | 0.537840i | \(-0.180760\pi\) |
−0.998174 | + | 0.0604089i | \(0.980760\pi\) | |||||||
\(240\) | 8.94405 | − | 0.0636324i | 0.577336 | − | 0.00410745i | ||||
\(241\) | 1.24443 | − | 3.82996i | 0.0801608 | − | 0.246709i | −0.902942 | − | 0.429761i | \(-0.858598\pi\) |
0.983103 | + | 0.183052i | \(0.0585977\pi\) | |||||||
\(242\) | −21.9424 | − | 10.6785i | −1.41051 | − | 0.686443i | ||||
\(243\) | 0.707107 | + | 0.707107i | 0.0453609 | + | 0.0453609i | ||||
\(244\) | 17.4318 | + | 4.96589i | 1.11596 | + | 0.317909i | ||||
\(245\) | −13.6808 | − | 3.10581i | −0.874036 | − | 0.198423i | ||||
\(246\) | −10.6356 | + | 0.194841i | −0.678103 | + | 0.0124226i | ||||
\(247\) | −3.04816 | + | 19.2453i | −0.193950 | + | 1.22455i | ||||
\(248\) | 13.7994 | − | 15.4060i | 0.876265 | − | 0.978280i | ||||
\(249\) | 3.62336i | 0.229621i | ||||||||
\(250\) | −15.5555 | − | 2.83305i | −0.983817 | − | 0.179178i | ||||
\(251\) | 5.54559i | 0.350035i | 0.984565 | + | 0.175017i | \(0.0559981\pi\) | ||||
−0.984565 | + | 0.175017i | \(0.944002\pi\) | |||||||
\(252\) | 0.204764 | − | 1.69184i | 0.0128989 | − | 0.106576i | ||||
\(253\) | −0.897111 | + | 5.66413i | −0.0564009 | + | 0.356101i | ||||
\(254\) | 0.230079 | + | 12.5591i | 0.0144365 | + | 0.788031i | ||||
\(255\) | −11.1488 | − | 2.53100i | −0.698167 | − | 0.158497i | ||||
\(256\) | −11.4323 | + | 11.1939i | −0.714519 | + | 0.699616i | ||||
\(257\) | −14.9661 | − | 14.9661i | −0.933561 | − | 0.933561i | 0.0643652 | − | 0.997926i | \(-0.479498\pi\) |
−0.997926 | + | 0.0643652i | \(0.979498\pi\) | |||||||
\(258\) | 4.14293 | − | 8.51293i | 0.257928 | − | 0.529992i | ||||
\(259\) | −0.221742 | + | 0.682452i | −0.0137784 | + | 0.0424055i | ||||
\(260\) | 3.44388 | − | 9.62292i | 0.213580 | − | 0.596788i | ||||
\(261\) | −2.21922 | − | 6.83007i | −0.137366 | − | 0.422770i | ||||
\(262\) | −13.9709 | − | 1.95117i | −0.863123 | − | 0.120543i | ||||
\(263\) | 11.1137 | − | 5.66270i | 0.685298 | − | 0.349177i | −0.0764289 | − | 0.997075i | \(-0.524352\pi\) |
0.761727 | + | 0.647898i | \(0.224352\pi\) | |||||||
\(264\) | −15.0120 | + | 0.825786i | −0.923927 | + | 0.0508236i | ||||
\(265\) | −19.8910 | − | 7.95200i | −1.22190 | − | 0.488488i | ||||
\(266\) | 6.19023 | + | 8.19996i | 0.379548 | + | 0.502772i | ||||
\(267\) | 9.07055 | − | 1.43663i | 0.555109 | − | 0.0879206i | ||||
\(268\) | −2.05412 | + | 4.42503i | −0.125475 | + | 0.270302i | ||||
\(269\) | −17.1911 | + | 23.6616i | −1.04816 | + | 1.44267i | −0.157771 | + | 0.987476i | \(0.550431\pi\) |
−0.890391 | + | 0.455196i | \(0.849569\pi\) | |||||||
\(270\) | 3.09612 | + | 0.643482i | 0.188424 | + | 0.0391611i | ||||
\(271\) | −13.9798 | − | 19.2416i | −0.849213 | − | 1.16884i | −0.984036 | − | 0.177972i | \(-0.943046\pi\) |
0.134822 | − | 0.990870i | \(-0.456954\pi\) | |||||||
\(272\) | 17.4935 | − | 10.5936i | 1.06070 | − | 0.642333i | ||||
\(273\) | −1.73513 | − | 0.884091i | −0.105015 | − | 0.0535076i | ||||
\(274\) | 7.61233 | + | 5.32041i | 0.459878 | + | 0.321418i | ||||
\(275\) | 26.3456 | + | 3.50633i | 1.58870 | + | 0.211440i | ||||
\(276\) | 0.741483 | + | 2.02630i | 0.0446321 | + | 0.121969i | ||||
\(277\) | 3.60649 | − | 7.07814i | 0.216693 | − | 0.425284i | −0.756914 | − | 0.653515i | \(-0.773294\pi\) |
0.973607 | + | 0.228230i | \(0.0732938\pi\) | |||||||
\(278\) | 11.2413 | − | 11.6609i | 0.674209 | − | 0.699373i | ||||
\(279\) | 5.91585 | − | 4.29812i | 0.354173 | − | 0.257321i | ||||
\(280\) | −2.39266 | − | 4.82885i | −0.142989 | − | 0.288579i | ||||
\(281\) | −8.01263 | − | 5.82152i | −0.477993 | − | 0.347282i | 0.322555 | − | 0.946551i | \(-0.395458\pi\) |
−0.800548 | + | 0.599268i | \(0.795458\pi\) | |||||||
\(282\) | −1.89558 | + | 0.335932i | −0.112880 | + | 0.0200045i | ||||
\(283\) | 2.15780 | + | 13.6238i | 0.128268 | + | 0.809850i | 0.965002 | + | 0.262241i | \(0.0844616\pi\) |
−0.836735 | + | 0.547608i | \(0.815538\pi\) | |||||||
\(284\) | 5.32444 | − | 0.195150i | 0.315948 | − | 0.0115800i | ||||
\(285\) | −16.1307 | + | 10.1618i | −0.955499 | + | 0.601932i | ||||
\(286\) | −5.00880 | + | 16.4338i | −0.296177 | + | 0.971753i | ||||
\(287\) | 2.90975 | + | 5.71071i | 0.171757 | + | 0.337092i | ||||
\(288\) | −4.78428 | + | 3.01838i | −0.281917 | + | 0.177860i | ||||
\(289\) | −8.69309 | + | 2.82456i | −0.511358 | + | 0.166150i | ||||
\(290\) | −17.7135 | − | 14.2120i | −1.04017 | − | 0.834556i | ||||
\(291\) | 13.3363 | + | 4.33324i | 0.781789 | + | 0.254019i | ||||
\(292\) | 22.0634 | − | 12.2798i | 1.29116 | − | 0.718623i | ||||
\(293\) | 7.20754 | − | 7.20754i | 0.421069 | − | 0.421069i | −0.464503 | − | 0.885572i | \(-0.653767\pi\) |
0.885572 | + | 0.464503i | \(0.153767\pi\) | |||||||
\(294\) | 8.38679 | − | 2.89591i | 0.489127 | − | 0.168893i | ||||
\(295\) | −0.905026 | − | 0.539300i | −0.0526927 | − | 0.0313992i | ||||
\(296\) | 2.22147 | − | 0.859359i | 0.129120 | − | 0.0499492i | ||||
\(297\) | −5.25014 | − | 0.831540i | −0.304644 | − | 0.0482509i | ||||
\(298\) | 5.68594 | − | 3.02957i | 0.329377 | − | 0.175498i | ||||
\(299\) | 2.46561 | 0.142590 | ||||||||
\(300\) | 9.30302 | − | 3.66795i | 0.537110 | − | 0.211769i | ||||
\(301\) | −5.70439 | −0.328795 | ||||||||
\(302\) | −4.80443 | + | 2.55989i | −0.276464 | + | 0.147305i | ||||
\(303\) | 9.25256 | + | 1.46546i | 0.531546 | + | 0.0841886i | ||||
\(304\) | 8.13602 | − | 33.1191i | 0.466632 | − | 1.89951i | ||||
\(305\) | 20.1810 | − | 1.84000i | 1.15556 | − | 0.105358i | ||||
\(306\) | 6.83459 | − | 2.35995i | 0.390707 | − | 0.134909i | ||||
\(307\) | −5.98741 | + | 5.98741i | −0.341719 | + | 0.341719i | −0.857013 | − | 0.515294i | \(-0.827683\pi\) |
0.515294 | + | 0.857013i | \(0.327683\pi\) | |||||||
\(308\) | 4.40546 | + | 7.91537i | 0.251025 | + | 0.451020i | ||||
\(309\) | −0.840542 | − | 0.273109i | −0.0478168 | − | 0.0155366i | ||||
\(310\) | 8.18914 | − | 21.6252i | 0.465112 | − | 1.22823i | ||||
\(311\) | 6.48610 | − | 2.10746i | 0.367793 | − | 0.119503i | −0.119289 | − | 0.992860i | \(-0.538061\pi\) |
0.487082 | + | 0.873356i | \(0.338061\pi\) | |||||||
\(312\) | 1.36035 | + | 6.31932i | 0.0770146 | + | 0.357761i | ||||
\(313\) | 5.70941 | + | 11.2054i | 0.322715 | + | 0.633364i | 0.994187 | − | 0.107666i | \(-0.0343377\pi\) |
−0.671472 | + | 0.741030i | \(0.734338\pi\) | |||||||
\(314\) | 0.847108 | − | 2.77936i | 0.0478051 | − | 0.156848i | ||||
\(315\) | −0.467702 | − | 1.84705i | −0.0263520 | − | 0.104069i | ||||
\(316\) | 0.119181 | + | 3.25172i | 0.00670443 | + | 0.182923i | ||||
\(317\) | −1.19548 | − | 7.54799i | −0.0671451 | − | 0.423937i | −0.998247 | − | 0.0591791i | \(-0.981152\pi\) |
0.931102 | − | 0.364758i | \(-0.118848\pi\) | |||||||
\(318\) | 13.3404 | − | 2.36416i | 0.748091 | − | 0.132575i | ||||
\(319\) | 30.8835 | + | 22.4382i | 1.72915 | + | 1.25630i | ||||
\(320\) | −7.41636 | + | 16.2787i | −0.414587 | + | 0.910010i | ||||
\(321\) | 2.13433 | − | 1.55068i | 0.119127 | − | 0.0865506i | ||||
\(322\) | 0.902294 | − | 0.935970i | 0.0502829 | − | 0.0521596i | ||||
\(323\) | −19.7900 | + | 38.8402i | −1.10115 | + | 2.16112i | ||||
\(324\) | −1.87820 | + | 0.687288i | −0.104344 | + | 0.0381827i | ||||
\(325\) | −0.282989 | − | 11.4235i | −0.0156974 | − | 0.633661i | ||||
\(326\) | −20.9383 | − | 14.6342i | −1.15966 | − | 0.810512i | ||||
\(327\) | −9.69447 | − | 4.93958i | −0.536105 | − | 0.273159i | ||||
\(328\) | 8.60283 | − | 19.4579i | 0.475012 | − | 1.07438i | ||||
\(329\) | 0.681788 | + | 0.938401i | 0.0375882 | + | 0.0517357i | ||||
\(330\) | −15.3250 | + | 6.90634i | −0.843615 | + | 0.380182i | ||||
\(331\) | 0.810818 | − | 1.11599i | 0.0445666 | − | 0.0613406i | −0.786152 | − | 0.618033i | \(-0.787930\pi\) |
0.830719 | + | 0.556692i | \(0.187930\pi\) | |||||||
\(332\) | −6.57305 | − | 3.05124i | −0.360743 | − | 0.167459i | ||||
\(333\) | 0.831760 | − | 0.131738i | 0.0455802 | − | 0.00721919i | ||||
\(334\) | −18.7178 | − | 24.7947i | −1.02419 | − | 1.35671i | ||||
\(335\) | −0.360578 | + | 5.44246i | −0.0197005 | + | 0.297353i | ||||
\(336\) | 2.89670 | + | 1.79616i | 0.158028 | + | 0.0979887i | ||||
\(337\) | −20.7515 | + | 10.5734i | −1.13041 | + | 0.575972i | −0.916162 | − | 0.400808i | \(-0.868730\pi\) |
−0.214247 | + | 0.976780i | \(0.568730\pi\) | |||||||
\(338\) | −10.8926 | − | 1.52125i | −0.592477 | − | 0.0827451i | ||||
\(339\) | 2.34371 | + | 7.21321i | 0.127293 | + | 0.391768i | ||||
\(340\) | 13.9799 | − | 18.0934i | 0.758165 | − | 0.981254i | ||||
\(341\) | −12.0114 | + | 36.9672i | −0.650452 | + | 2.00189i | ||||
\(342\) | 5.27631 | − | 10.8418i | 0.285310 | − | 0.586258i | ||||
\(343\) | −7.99784 | − | 7.99784i | −0.431843 | − | 0.431843i | ||||
\(344\) | 11.9543 | + | 14.6843i | 0.644534 | + | 0.791726i | ||||
\(345\) | 1.58932 | + | 1.81485i | 0.0855660 | + | 0.0977085i | ||||
\(346\) | −0.447713 | − | 24.4390i | −0.0240692 | − | 1.31385i | ||||
\(347\) | 4.99495 | − | 31.5369i | 0.268143 | − | 1.69299i | −0.374825 | − | 0.927095i | \(-0.622297\pi\) |
0.642968 | − | 0.765893i | \(-0.277703\pi\) | |||||||
\(348\) | 14.2591 | + | 1.72578i | 0.764366 | + | 0.0925114i | ||||
\(349\) | 5.25895i | 0.281505i | 0.990045 | + | 0.140753i | \(0.0449522\pi\) | ||||
−0.990045 | + | 0.140753i | \(0.955048\pi\) | |||||||
\(350\) | −4.44003 | − | 4.07301i | −0.237329 | − | 0.217712i | ||||
\(351\) | 2.28540i | 0.121986i | ||||||||
\(352\) | 11.1436 | − | 27.9284i | 0.593958 | − | 1.48859i | ||||
\(353\) | −2.99157 | + | 18.8880i | −0.159225 | + | 1.00531i | 0.770603 | + | 0.637315i | \(0.219955\pi\) |
−0.929828 | + | 0.367994i | \(0.880045\pi\) | |||||||
\(354\) | 0.666196 | − | 0.0122045i | 0.0354079 | − | 0.000648661i | ||||
\(355\) | 5.47481 | − | 2.34759i | 0.290573 | − | 0.124597i | ||||
\(356\) | −5.03217 | + | 17.6644i | −0.266704 | + | 0.936214i | ||||
\(357\) | −3.08056 | − | 3.08056i | −0.163040 | − | 0.163040i | ||||
\(358\) | 5.01770 | + | 2.44193i | 0.265194 | + | 0.129060i | ||||
\(359\) | 11.0111 | − | 33.8886i | 0.581142 | − | 1.78857i | −0.0330986 | − | 0.999452i | \(-0.510538\pi\) |
0.614241 | − | 0.789119i | \(-0.289462\pi\) | |||||||
\(360\) | −3.77457 | + | 5.07470i | −0.198937 | + | 0.267460i | ||||
\(361\) | 16.5918 | + | 51.0642i | 0.873250 | + | 2.68759i | ||||
\(362\) | −0.411406 | + | 2.94578i | −0.0216230 | + | 0.154827i | ||||
\(363\) | 15.3747 | − | 7.83380i | 0.806962 | − | 0.411168i | ||||
\(364\) | 3.06496 | − | 2.40315i | 0.160647 | − | 0.125959i | ||||
\(365\) | 18.0673 | − | 21.6923i | 0.945683 | − | 1.13543i | ||||
\(366\) | −10.2291 | + | 7.72203i | −0.534683 | + | 0.403637i | ||||
\(367\) | −33.9446 | + | 5.37630i | −1.77189 | + | 0.280640i | −0.955099 | − | 0.296287i | \(-0.904251\pi\) |
−0.816795 | + | 0.576928i | \(0.804251\pi\) | |||||||
\(368\) | −4.30027 | − | 0.361248i | −0.224167 | − | 0.0188314i | ||||
\(369\) | 4.42120 | − | 6.08526i | 0.230158 | − | 0.316786i | ||||
\(370\) | 1.97095 | − | 1.79085i | 0.102465 | − | 0.0931020i | ||||
\(371\) | −4.79816 | − | 6.60410i | −0.249108 | − | 0.342868i | ||||
\(372\) | 2.81535 | + | 14.3512i | 0.145969 | + | 0.744077i | ||||
\(373\) | −15.0514 | − | 7.66905i | −0.779330 | − | 0.397089i | 0.0186087 | − | 0.999827i | \(-0.494076\pi\) |
−0.797939 | + | 0.602738i | \(0.794076\pi\) | |||||||
\(374\) | −22.0180 | + | 31.5028i | −1.13852 | + | 1.62897i | ||||
\(375\) | 8.22604 | − | 7.57181i | 0.424791 | − | 0.391007i | ||||
\(376\) | 0.986869 | − | 3.72162i | 0.0508939 | − | 0.191928i | ||||
\(377\) | 7.45122 | − | 14.6238i | 0.383757 | − | 0.753166i | ||||
\(378\) | 0.867559 | + | 0.836344i | 0.0446224 | + | 0.0430169i | ||||
\(379\) | −6.99431 | + | 5.08166i | −0.359274 | + | 0.261028i | −0.752749 | − | 0.658308i | \(-0.771273\pi\) |
0.393475 | + | 0.919335i | \(0.371273\pi\) | |||||||
\(380\) | −4.85054 | − | 37.8195i | −0.248828 | − | 1.94010i | ||||
\(381\) | −7.18581 | − | 5.22079i | −0.368140 | − | 0.267469i | ||||
\(382\) | 4.47936 | + | 25.2759i | 0.229184 | + | 1.29323i | ||||
\(383\) | 0.0995039 | + | 0.628243i | 0.00508441 | + | 0.0321017i | 0.990100 | − | 0.140363i | \(-0.0448269\pi\) |
−0.985016 | + | 0.172465i | \(0.944827\pi\) | |||||||
\(384\) | −1.44671 | − | 11.2208i | −0.0738271 | − | 0.572611i | ||||
\(385\) | 7.78226 | + | 6.48174i | 0.396621 | + | 0.330340i | ||||
\(386\) | 3.06467 | + | 0.934067i | 0.155987 | + | 0.0475427i | ||||
\(387\) | 3.03926 | + | 5.96488i | 0.154494 | + | 0.303212i | ||||
\(388\) | −19.0914 | + | 20.5441i | −0.969217 | + | 1.04297i | ||||
\(389\) | 29.9117 | − | 9.71889i | 1.51658 | − | 0.492767i | 0.571779 | − | 0.820407i | \(-0.306253\pi\) |
0.944803 | + | 0.327640i | \(0.106253\pi\) | |||||||
\(390\) | 3.96351 | + | 6.04327i | 0.200700 | + | 0.306013i | ||||
\(391\) | 5.24597 | + | 1.70452i | 0.265300 | + | 0.0862012i | ||||
\(392\) | −1.80913 | + | 17.6529i | −0.0913748 | + | 0.891606i | ||||
\(393\) | 7.05323 | − | 7.05323i | 0.355788 | − | 0.355788i | ||||
\(394\) | −8.32639 | − | 24.1139i | −0.419477 | − | 1.21484i | ||||
\(395\) | 1.43371 | + | 3.34355i | 0.0721375 | + | 0.168232i | ||||
\(396\) | 5.92963 | − | 8.82390i | 0.297975 | − | 0.443418i | ||||
\(397\) | −20.0568 | − | 3.17669i | −1.00662 | − | 0.159434i | −0.368713 | − | 0.929543i | \(-0.620201\pi\) |
−0.637911 | + | 0.770110i | \(0.720201\pi\) | |||||||
\(398\) | 5.97827 | + | 11.2201i | 0.299664 | + | 0.562412i | ||||
\(399\) | −7.26493 | −0.363701 | ||||||||
\(400\) | −1.18015 | + | 19.9652i | −0.0590074 | + | 0.998258i | ||||
\(401\) | −1.22942 | −0.0613944 | −0.0306972 | − | 0.999529i | \(-0.509773\pi\) | ||||
−0.0306972 | + | 0.999529i | \(0.509773\pi\) | |||||||
\(402\) | −1.62215 | − | 3.04447i | −0.0809055 | − | 0.151844i | ||||
\(403\) | 16.5060 | + | 2.61429i | 0.822222 | + | 0.130227i | ||||
\(404\) | −10.4501 | + | 15.5508i | −0.519910 | + | 0.773680i | ||||
\(405\) | −1.68221 | + | 1.47315i | −0.0835895 | + | 0.0732016i | ||||
\(406\) | −2.82457 | − | 8.18017i | −0.140181 | − | 0.405975i | ||||
\(407\) | −3.16529 | + | 3.16529i | −0.156898 | + | 0.156898i | ||||
\(408\) | −1.47430 | + | 14.3858i | −0.0729888 | + | 0.712201i | ||||
\(409\) | −19.0925 | − | 6.20354i | −0.944065 | − | 0.306745i | −0.203763 | − | 0.979020i | \(-0.565317\pi\) |
−0.740302 | + | 0.672275i | \(0.765317\pi\) | |||||||
\(410\) | 1.13745 | − | 23.7588i | 0.0561747 | − | 1.17336i | ||||
\(411\) | −6.24571 | + | 2.02936i | −0.308078 | + | 0.100101i | ||||
\(412\) | 1.20326 | − | 1.29482i | 0.0592805 | − | 0.0637912i | ||||
\(413\) | −0.182261 | − | 0.357708i | −0.00896850 | − | 0.0176017i | ||||
\(414\) | −1.45945 | − | 0.444819i | −0.0717280 | − | 0.0218617i | ||||
\(415\) | −8.08436 | − | 0.535611i | −0.396846 | − | 0.0262921i | ||||
\(416\) | −12.6093 | − | 2.85374i | −0.618220 | − | 0.139916i | ||||
\(417\) | 1.79165 | + | 11.3120i | 0.0877373 | + | 0.553952i | ||||
\(418\) | 11.1842 | + | 63.1095i | 0.547035 | + | 3.08678i | ||||
\(419\) | −1.57504 | − | 1.14434i | −0.0769459 | − | 0.0559045i | 0.548647 | − | 0.836054i | \(-0.315143\pi\) |
−0.625593 | + | 0.780149i | \(0.715143\pi\) | |||||||
\(420\) | 3.74453 | + | 0.706956i | 0.182714 | + | 0.0344959i | ||||
\(421\) | 8.37894 | − | 6.08766i | 0.408365 | − | 0.296694i | −0.364575 | − | 0.931174i | \(-0.618786\pi\) |
0.772939 | + | 0.634480i | \(0.218786\pi\) | |||||||
\(422\) | 8.23501 | + | 7.93871i | 0.400874 | + | 0.386451i | ||||
\(423\) | 0.618002 | − | 1.21290i | 0.0300483 | − | 0.0589730i | ||||
\(424\) | −6.94520 | + | 26.1913i | −0.337289 | + | 1.27196i | ||||
\(425\) | 7.29514 | − | 24.5009i | 0.353866 | − | 1.18847i | ||||
\(426\) | −2.15827 | + | 3.08800i | −0.104568 | + | 0.149614i | ||||
\(427\) | 6.88058 | + | 3.50583i | 0.332974 | + | 0.169659i | ||||
\(428\) | 1.01573 | + | 5.17766i | 0.0490971 | + | 0.250272i | ||||
\(429\) | −7.14055 | − | 9.82812i | −0.344749 | − | 0.474506i | ||||
\(430\) | 18.3814 | + | 10.5020i | 0.886432 | + | 0.506452i | ||||
\(431\) | −17.5247 | + | 24.1207i | −0.844135 | + | 1.16185i | 0.140989 | + | 0.990011i | \(0.454972\pi\) |
−0.985125 | + | 0.171841i | \(0.945028\pi\) | |||||||
\(432\) | 0.334844 | − | 3.98596i | 0.0161102 | − | 0.191775i | ||||
\(433\) | 35.3157 | − | 5.59347i | 1.69717 | − | 0.268805i | 0.768535 | − | 0.639808i | \(-0.220986\pi\) |
0.928632 | + | 0.371003i | \(0.120986\pi\) | |||||||
\(434\) | 7.03279 | − | 5.30913i | 0.337585 | − | 0.254846i | ||||
\(435\) | 15.5671 | − | 3.94185i | 0.746387 | − | 0.188997i | ||||
\(436\) | 17.1245 | − | 13.4269i | 0.820114 | − | 0.643030i | ||||
\(437\) | 8.19572 | − | 4.17593i | 0.392054 | − | 0.199762i | ||||
\(438\) | −2.46962 | + | 17.6832i | −0.118003 | + | 0.844934i | ||||
\(439\) | −4.69459 | − | 14.4485i | −0.224060 | − | 0.689587i | −0.998386 | − | 0.0567991i | \(-0.981911\pi\) |
0.774325 | − | 0.632788i | \(-0.218089\pi\) | |||||||
\(440\) | 0.376630 | − | 33.6166i | 0.0179551 | − | 1.60261i | ||||
\(441\) | −1.93875 | + | 5.96687i | −0.0923215 | + | 0.284136i | ||||
\(442\) | 14.8586 | + | 7.23111i | 0.706750 | + | 0.343949i | ||||
\(443\) | −6.90818 | − | 6.90818i | −0.328217 | − | 0.328217i | 0.523691 | − | 0.851908i | \(-0.324555\pi\) |
−0.851908 | + | 0.523691i | \(0.824555\pi\) | |||||||
\(444\) | −0.461444 | + | 1.61981i | −0.0218992 | + | 0.0768728i | ||||
\(445\) | 1.86456 | + | 20.4504i | 0.0883887 | + | 0.969440i | ||||
\(446\) | 21.1434 | − | 0.387340i | 1.00117 | − | 0.0183411i | ||||
\(447\) | −0.712663 | + | 4.49958i | −0.0337078 | + | 0.212823i | ||||
\(448\) | −5.69768 | + | 3.74227i | −0.269190 | + | 0.176806i | ||||
\(449\) | − | 5.94109i | − | 0.280377i | −0.990125 | − | 0.140189i | \(-0.955229\pi\) | ||
0.990125 | − | 0.140189i | \(-0.0447709\pi\) | |||||||
\(450\) | −1.89340 | + | 6.81286i | −0.0892555 | + | 0.321161i | ||||
\(451\) | 39.9827i | 1.88271i | ||||||||
\(452\) | −15.0589 | − | 1.82259i | −0.708313 | − | 0.0857273i | ||||
\(453\) | 0.602177 | − | 3.80200i | 0.0282927 | − | 0.178633i | ||||
\(454\) | −0.545441 | − | 29.7735i | −0.0255988 | − | 1.39734i | ||||
\(455\) | 2.22905 | − | 3.74068i | 0.104500 | − | 0.175366i | ||||
\(456\) | 15.2246 | + | 18.7015i | 0.712959 | + | 0.875779i | ||||
\(457\) | −7.76750 | − | 7.76750i | −0.363348 | − | 0.363348i | 0.501696 | − | 0.865044i | \(-0.332710\pi\) |
−0.865044 | + | 0.501696i | \(0.832710\pi\) | |||||||
\(458\) | 11.2817 | − | 23.1818i | 0.527160 | − | 1.08321i | ||||
\(459\) | −1.57993 | + | 4.86254i | −0.0737450 | + | 0.226964i | ||||
\(460\) | −4.63065 | + | 1.35485i | −0.215905 | + | 0.0631702i | ||||
\(461\) | 0.193509 | + | 0.595560i | 0.00901262 | + | 0.0277380i | 0.955462 | − | 0.295115i | \(-0.0953580\pi\) |
−0.946449 | + | 0.322853i | \(0.895358\pi\) | |||||||
\(462\) | −6.34394 | − | 0.885992i | −0.295147 | − | 0.0412201i | ||||
\(463\) | −14.8562 | + | 7.56962i | −0.690427 | + | 0.351790i | −0.763744 | − | 0.645519i | \(-0.776641\pi\) |
0.0733178 | + | 0.997309i | \(0.476641\pi\) | |||||||
\(464\) | −15.1383 | + | 24.4137i | −0.702776 | + | 1.13338i | ||||
\(465\) | 8.71537 | + | 13.8347i | 0.404165 | + | 0.641567i | ||||
\(466\) | −1.20353 | − | 1.59427i | −0.0557525 | − | 0.0738532i | ||||
\(467\) | −18.8901 | + | 2.99190i | −0.874131 | + | 0.138449i | −0.577350 | − | 0.816497i | \(-0.695913\pi\) |
−0.296781 | + | 0.954946i | \(0.595913\pi\) | |||||||
\(468\) | −4.14588 | − | 1.92454i | −0.191644 | − | 0.0889618i | ||||
\(469\) | −1.22171 | + | 1.68154i | −0.0564133 | + | 0.0776463i | ||||
\(470\) | −0.469316 | − | 4.27904i | −0.0216479 | − | 0.197377i | ||||
\(471\) | 1.20764 | + | 1.66217i | 0.0556450 | + | 0.0765888i | ||||
\(472\) | −0.538865 | + | 1.21881i | −0.0248033 | + | 0.0561001i | ||||
\(473\) | −31.7068 | − | 16.1554i | −1.45788 | − | 0.742828i | ||||
\(474\) | −1.88589 | − | 1.31809i | −0.0866218 | − | 0.0605417i | ||||
\(475\) | −20.2883 | − | 37.4925i | −0.930889 | − | 1.72027i | ||||
\(476\) | 8.18251 | − | 2.99422i | 0.375045 | − | 0.137240i | ||||
\(477\) | −4.34925 | + | 8.53589i | −0.199139 | + | 0.390832i | ||||
\(478\) | −7.61729 | + | 7.90159i | −0.348407 | + | 0.361410i | ||||
\(479\) | 27.1965 | − | 19.7594i | 1.24264 | − | 0.902830i | 0.244868 | − | 0.969556i | \(-0.421255\pi\) |
0.997771 | + | 0.0667262i | \(0.0212554\pi\) | |||||||
\(480\) | −6.02732 | − | 11.1208i | −0.275108 | − | 0.507591i | ||||
\(481\) | 1.55703 | + | 1.13125i | 0.0709946 | + | 0.0515806i | ||||
\(482\) | −5.60774 | + | 0.993795i | −0.255426 | + | 0.0452661i | ||||
\(483\) | 0.143808 | + | 0.907968i | 0.00654349 | + | 0.0413140i | ||||
\(484\) | 1.26403 | + | 34.4877i | 0.0574559 | + | 1.56762i | ||||
\(485\) | −11.6396 | + | 29.1152i | −0.528528 | + | 1.32205i | ||||
\(486\) | 0.412307 | − | 1.35278i | 0.0187026 | − | 0.0613632i | ||||
\(487\) | 9.51138 | + | 18.6671i | 0.431002 | + | 0.845888i | 0.999727 | + | 0.0233609i | \(0.00743668\pi\) |
−0.568725 | + | 0.822527i | \(0.692563\pi\) | |||||||
\(488\) | −5.39442 | − | 25.0590i | −0.244194 | − | 1.13437i | ||||
\(489\) | 17.1793 | − | 5.58189i | 0.776874 | − | 0.252422i | ||||
\(490\) | 5.22155 | + | 19.1405i | 0.235885 | + | 0.864679i | ||||
\(491\) | −9.85771 | − | 3.20297i | −0.444872 | − | 0.144548i | 0.0780101 | − | 0.996953i | \(-0.475143\pi\) |
−0.522883 | + | 0.852405i | \(0.675143\pi\) | |||||||
\(492\) | 7.31601 | + | 13.1448i | 0.329831 | + | 0.592613i | ||||
\(493\) | 25.9633 | − | 25.9633i | 1.16933 | − | 1.16933i | ||||
\(494\) | 26.0472 | − | 8.99396i | 1.17192 | − | 0.404657i | ||||
\(495\) | 2.63140 | − | 11.5911i | 0.118273 | − | 0.520980i | ||||
\(496\) | −28.4050 | − | 6.97795i | −1.27542 | − | 0.313319i | ||||
\(497\) | 2.24204 | + | 0.355105i | 0.100569 | + | 0.0159286i | ||||
\(498\) | 4.52233 | − | 2.40958i | 0.202650 | − | 0.107976i | ||||
\(499\) | −17.4872 | −0.782833 | −0.391416 | − | 0.920214i | \(-0.628015\pi\) | ||||
−0.391416 | + | 0.920214i | \(0.628015\pi\) | |||||||
\(500\) | 6.80867 | + | 21.2989i | 0.304493 | + | 0.952515i | ||||
\(501\) | 21.9674 | 0.981432 | ||||||||
\(502\) | 6.92146 | − | 3.68789i | 0.308920 | − | 0.164598i | ||||
\(503\) | −38.2850 | − | 6.06375i | −1.70704 | − | 0.270369i | −0.774801 | − | 0.632205i | \(-0.782150\pi\) |
−0.932242 | + | 0.361836i | \(0.882150\pi\) | |||||||
\(504\) | −2.24776 | + | 0.869530i | −0.100123 | + | 0.0387319i | ||||
\(505\) | −4.63743 | + | 20.4275i | −0.206363 | + | 0.909011i | ||||
\(506\) | 7.66601 | − | 2.64703i | 0.340796 | − | 0.117675i | ||||
\(507\) | 5.49914 | − | 5.49914i | 0.244225 | − | 0.244225i | ||||
\(508\) | 15.5221 | − | 8.63914i | 0.688681 | − | 0.383300i | ||||
\(509\) | 7.83998 | + | 2.54737i | 0.347501 | + | 0.112910i | 0.477567 | − | 0.878595i | \(-0.341519\pi\) |
−0.130066 | + | 0.991505i | \(0.541519\pi\) | |||||||
\(510\) | 4.25516 | + | 15.5980i | 0.188422 | + | 0.690692i | ||||
\(511\) | 10.2314 | − | 3.32437i | 0.452609 | − | 0.147062i | ||||
\(512\) | 21.5737 | + | 6.82465i | 0.953432 | + | 0.301610i | ||||
\(513\) | 3.87071 | + | 7.59669i | 0.170896 | + | 0.335402i | ||||
\(514\) | −8.72660 | + | 28.6319i | −0.384914 | + | 1.26290i | ||||
\(515\) | 0.733604 | − | 1.83503i | 0.0323265 | − | 0.0808610i | ||||
\(516\) | −13.3801 | + | 0.490403i | −0.589026 | + | 0.0215888i | ||||
\(517\) | 1.13195 | + | 7.14683i | 0.0497830 | + | 0.314317i | ||||
\(518\) | 0.999231 | − | 0.177082i | 0.0439037 | − | 0.00778054i | ||||
\(519\) | 13.9829 | + | 10.1592i | 0.613782 | + | 0.445939i | ||||
\(520\) | −14.3006 | + | 2.10105i | −0.627123 | + | 0.0921370i | ||||
\(521\) | −21.9852 | + | 15.9732i | −0.963190 | + | 0.699799i | −0.953890 | − | 0.300158i | \(-0.902961\pi\) |
−0.00930086 | + | 0.999957i | \(0.502961\pi\) | |||||||
\(522\) | −7.04881 | + | 7.31189i | −0.308518 | + | 0.320033i | ||||
\(523\) | −7.57962 | + | 14.8758i | −0.331434 | + | 0.650475i | −0.995243 | − | 0.0974269i | \(-0.968939\pi\) |
0.663809 | + | 0.747902i | \(0.268939\pi\) | |||||||
\(524\) | 6.85554 | + | 18.7346i | 0.299486 | + | 0.818426i | ||||
\(525\) | 4.19022 | − | 0.770492i | 0.182876 | − | 0.0336270i | ||||
\(526\) | −14.4583 | − | 10.1052i | −0.630414 | − | 0.440609i | ||||
\(527\) | 33.3117 | + | 16.9732i | 1.45108 | + | 0.739363i | ||||
\(528\) | 11.0139 | + | 18.1874i | 0.479317 | + | 0.791505i | ||||
\(529\) | 12.8349 | + | 17.6658i | 0.558040 | + | 0.768076i | ||||
\(530\) | 3.30286 | + | 30.1142i | 0.143467 | + | 1.30808i | ||||
\(531\) | −0.276936 | + | 0.381169i | −0.0120180 | + | 0.0165413i | ||||
\(532\) | 6.11781 | − | 13.1791i | 0.265241 | − | 0.571387i | ||||
\(533\) | 16.9787 | − | 2.68915i | 0.735427 | − | 0.116480i | ||||
\(534\) | −7.82509 | − | 10.3656i | −0.338625 | − | 0.448563i | ||||
\(535\) | 3.14434 | + | 4.99129i | 0.135942 | + | 0.215792i | ||||
\(536\) | 6.88891 | − | 0.378946i | 0.297555 | − | 0.0163680i | ||||
\(537\) | −3.51583 | + | 1.79140i | −0.151719 | + | 0.0773048i | ||||
\(538\) | 40.9644 | + | 5.72107i | 1.76610 | + | 0.246653i | ||||
\(539\) | −10.3056 | − | 31.7174i | −0.443894 | − | 1.36616i | ||||
\(540\) | −1.25582 | − | 4.29219i | −0.0540420 | − | 0.184707i | ||||
\(541\) | 11.1251 | − | 34.2397i | 0.478308 | − | 1.47208i | −0.363137 | − | 0.931736i | \(-0.618294\pi\) |
0.841445 | − | 0.540343i | \(-0.181706\pi\) | |||||||
\(542\) | −14.7187 | + | 30.2441i | −0.632222 | + | 1.29910i | ||||
\(543\) | −1.48718 | − | 1.48718i | −0.0638212 | − | 0.0638212i | ||||
\(544\) | −24.8553 | − | 14.7888i | −1.06566 | − | 0.634063i | ||||
\(545\) | 12.4541 | − | 20.8999i | 0.533476 | − | 0.895253i | ||||
\(546\) | 0.0504440 | + | 2.75354i | 0.00215880 | + | 0.117841i | ||||
\(547\) | −3.38368 | + | 21.3637i | −0.144676 | + | 0.913445i | 0.803409 | + | 0.595427i | \(0.203017\pi\) |
−0.948085 | + | 0.318018i | \(0.896983\pi\) | |||||||
\(548\) | 1.57813 | − | 13.0391i | 0.0674142 | − | 0.557003i | ||||
\(549\) | − | 9.06267i | − | 0.386785i | ||||||
\(550\) | −13.1439 | − | 35.2138i | −0.560457 | − | 1.50152i | ||||
\(551\) | − | 61.2297i | − | 2.60847i | ||||||
\(552\) | 2.03594 | − | 2.27296i | 0.0866553 | − | 0.0967438i | ||||
\(553\) | −0.216867 | + | 1.36925i | −0.00922214 | + | 0.0582263i | ||||
\(554\) | −11.2326 | + | 0.205778i | −0.477228 | + | 0.00874265i | ||||
\(555\) | 0.170978 | + | 1.87528i | 0.00725762 | + | 0.0796011i | ||||
\(556\) | −22.0296 | − | 6.27569i | −0.934262 | − | 0.266148i | ||||
\(557\) | −7.36010 | − | 7.36010i | −0.311858 | − | 0.311858i | 0.533771 | − | 0.845629i | \(-0.320774\pi\) |
−0.845629 | + | 0.533771i | \(0.820774\pi\) | |||||||
\(558\) | −9.29860 | − | 4.52529i | −0.393641 | − | 0.191571i | ||||
\(559\) | −4.72787 | + | 14.5509i | −0.199968 | + | 0.615437i | ||||
\(560\) | −4.43575 | + | 6.19753i | −0.187445 | + | 0.261893i | ||||
\(561\) | −8.39827 | − | 25.8472i | −0.354575 | − | 1.09127i | ||||
\(562\) | −1.93735 | + | 13.8720i | −0.0817222 | + | 0.585153i | ||||
\(563\) | −12.9143 | + | 6.58015i | −0.544272 | + | 0.277320i | −0.704433 | − | 0.709771i | \(-0.748799\pi\) |
0.160161 | + | 0.987091i | \(0.448799\pi\) | |||||||
\(564\) | 1.67986 | + | 2.14248i | 0.0707350 | + | 0.0902148i | ||||
\(565\) | −16.4404 | + | 4.16297i | −0.691652 | + | 0.175137i | ||||
\(566\) | 15.5689 | − | 11.7531i | 0.654410 | − | 0.494021i | ||||
\(567\) | −0.841604 | + | 0.133297i | −0.0353441 | + | 0.00559795i | ||||
\(568\) | −3.78439 | − | 6.51567i | −0.158789 | − | 0.273392i | ||||
\(569\) | 12.6875 | − | 17.4629i | 0.531890 | − | 0.732083i | −0.455527 | − | 0.890222i | \(-0.650549\pi\) |
0.987417 | + | 0.158139i | \(0.0505493\pi\) | |||||||
\(570\) | 23.4100 | + | 13.3750i | 0.980538 | + | 0.560218i | ||||
\(571\) | 18.4488 | + | 25.3926i | 0.772057 | + | 1.06265i | 0.996114 | + | 0.0880697i | \(0.0280698\pi\) |
−0.224057 | + | 0.974576i | \(0.571930\pi\) | |||||||
\(572\) | 23.8420 | − | 4.67720i | 0.996885 | − | 0.195564i | ||||
\(573\) | −16.1729 | − | 8.24051i | −0.675633 | − | 0.344252i | ||||
\(574\) | 5.19253 | − | 7.42936i | 0.216732 | − | 0.310095i | ||||
\(575\) | −4.28420 | + | 3.27778i | −0.178663 | + | 0.136693i | ||||
\(576\) | 6.94885 | + | 3.96402i | 0.289536 | + | 0.165167i | ||||
\(577\) | 9.31816 | − | 18.2879i | 0.387920 | − | 0.761336i | −0.611636 | − | 0.791139i | \(-0.709488\pi\) |
0.999556 | + | 0.0298037i | \(0.00948823\pi\) | |||||||
\(578\) | 9.30634 | + | 8.97150i | 0.387093 | + | 0.373165i | ||||
\(579\) | −1.83280 | + | 1.33161i | −0.0761685 | + | 0.0553397i | ||||
\(580\) | −5.95831 | + | 31.5594i | −0.247405 | + | 1.31043i | ||||
\(581\) | −2.49780 | − | 1.81476i | −0.103626 | − | 0.0752888i | ||||
\(582\) | −3.46050 | − | 19.5268i | −0.143442 | − | 0.809410i | ||||
\(583\) | −7.96620 | − | 50.2966i | −0.329926 | − | 2.08307i | ||||
\(584\) | −29.9989 | − | 19.3711i | −1.24136 | − | 0.801582i | ||||
\(585\) | −5.09913 | − | 0.337831i | −0.210823 | − | 0.0139676i | ||||
\(586\) | −13.7888 | − | 4.20265i | −0.569612 | − | 0.173610i | ||||
\(587\) | −3.60722 | − | 7.07957i | −0.148886 | − | 0.292205i | 0.804503 | − | 0.593948i | \(-0.202432\pi\) |
−0.953389 | + | 0.301743i | \(0.902432\pi\) | |||||||
\(588\) | −9.19171 | − | 8.54175i | −0.379060 | − | 0.352256i | ||||
\(589\) | 59.2938 | − | 19.2657i | 2.44316 | − | 0.793830i | ||||
\(590\) | −0.0712478 | + | 1.48821i | −0.00293323 | + | 0.0612685i | ||||
\(591\) | 17.1561 | + | 5.57434i | 0.705706 | + | 0.229298i | ||||
\(592\) | −2.54987 | − | 2.20114i | −0.104799 | − | 0.0904663i | ||||
\(593\) | 19.3473 | − | 19.3473i | 0.794499 | − | 0.794499i | −0.187723 | − | 0.982222i | \(-0.560111\pi\) |
0.982222 | + | 0.187723i | \(0.0601106\pi\) | |||||||
\(594\) | 2.45356 | + | 7.10570i | 0.100671 | + | 0.291550i | ||||
\(595\) | 7.32864 | − | 6.41790i | 0.300445 | − | 0.263108i | ||||
\(596\) | −7.56243 | − | 5.08193i | −0.309769 | − | 0.208164i | ||||
\(597\) | −8.87904 | − | 1.40630i | −0.363395 | − | 0.0575561i | ||||
\(598\) | −1.63966 | − | 3.07734i | −0.0670508 | − | 0.125842i | ||||
\(599\) | −11.1236 | −0.454498 | −0.227249 | − | 0.973837i | \(-0.572973\pi\) | ||||
−0.227249 | + | 0.973837i | \(0.572973\pi\) | |||||||
\(600\) | −10.7646 | − | 9.17188i | −0.439463 | − | 0.374440i | ||||
\(601\) | −33.1954 | −1.35407 | −0.677034 | − | 0.735952i | \(-0.736735\pi\) | ||||
−0.677034 | + | 0.735952i | \(0.736735\pi\) | |||||||
\(602\) | 3.79349 | + | 7.11966i | 0.154611 | + | 0.290176i | ||||
\(603\) | 2.40925 | + | 0.381587i | 0.0981121 | + | 0.0155394i | ||||
\(604\) | 6.39001 | + | 4.29406i | 0.260006 | + | 0.174723i | ||||
\(605\) | 15.2059 | + | 35.4617i | 0.618207 | + | 1.44172i | ||||
\(606\) | −4.32402 | − | 12.5227i | −0.175651 | − | 0.508700i | ||||
\(607\) | 28.9683 | − | 28.9683i | 1.17579 | − | 1.17579i | 0.194978 | − | 0.980808i | \(-0.437536\pi\) |
0.980808 | − | 0.194978i | \(-0.0624637\pi\) | |||||||
\(608\) | −46.7466 | + | 11.8701i | −1.89583 | + | 0.481394i | ||||
\(609\) | 5.81986 | + | 1.89099i | 0.235833 | + | 0.0766267i | ||||
\(610\) | −15.7171 | − | 23.9644i | −0.636369 | − | 0.970289i | ||||
\(611\) | 2.95877 | − | 0.961363i | 0.119699 | − | 0.0388926i | ||||
\(612\) | −7.49054 | − | 6.96087i | −0.302787 | − | 0.281376i | ||||
\(613\) | 11.7078 | + | 22.9778i | 0.472872 | + | 0.928064i | 0.997072 | + | 0.0764685i | \(0.0243645\pi\) |
−0.524200 | + | 0.851595i | \(0.675636\pi\) | |||||||
\(614\) | 11.4546 | + | 3.49120i | 0.462270 | + | 0.140893i | ||||
\(615\) | 12.9237 | + | 10.7640i | 0.521135 | + | 0.434047i | ||||
\(616\) | 6.94950 | − | 10.7623i | 0.280003 | − | 0.433625i | ||||
\(617\) | −4.38555 | − | 27.6893i | −0.176556 | − | 1.11473i | −0.903676 | − | 0.428218i | \(-0.859142\pi\) |
0.727120 | − | 0.686510i | \(-0.240858\pi\) | |||||||
\(618\) | 0.218103 | + | 1.23070i | 0.00877340 | + | 0.0495062i | ||||
\(619\) | −20.3998 | − | 14.8213i | −0.819938 | − | 0.595720i | 0.0967565 | − | 0.995308i | \(-0.469153\pi\) |
−0.916695 | + | 0.399588i | \(0.869153\pi\) | |||||||
\(620\) | −32.4363 | + | 4.16013i | −1.30267 | + | 0.167075i | ||||
\(621\) | 0.872811 | − | 0.634135i | 0.0350247 | − | 0.0254469i | ||||
\(622\) | −6.94367 | − | 6.69383i | −0.278416 | − | 0.268398i | ||||
\(623\) | −3.55262 | + | 6.97240i | −0.142333 | + | 0.279343i | ||||
\(624\) | 6.98251 | − | 5.90028i | 0.279524 | − | 0.236200i | ||||
\(625\) | 15.6781 | + | 19.4730i | 0.627123 | + | 0.778921i | ||||
\(626\) | 10.1886 | − | 14.5776i | 0.407218 | − | 0.582639i | ||||
\(627\) | −40.3808 | − | 20.5751i | −1.61266 | − | 0.821689i | ||||
\(628\) | −4.03226 | + | 0.791027i | −0.160905 | + | 0.0315654i | ||||
\(629\) | 2.53077 | + | 3.48331i | 0.100909 | + | 0.138889i | ||||
\(630\) | −1.99428 | + | 1.81205i | −0.0794539 | + | 0.0721937i | ||||
\(631\) | 15.9052 | − | 21.8916i | 0.633176 | − | 0.871492i | −0.365053 | − | 0.930987i | \(-0.618949\pi\) |
0.998229 | + | 0.0594952i | \(0.0189491\pi\) | |||||||
\(632\) | 3.97922 | − | 2.31118i | 0.158285 | − | 0.0919338i | ||||
\(633\) | −7.98864 | + | 1.26528i | −0.317520 | + | 0.0502902i | ||||
\(634\) | −8.62565 | + | 6.51159i | −0.342568 | + | 0.258608i | ||||
\(635\) | 12.7107 | − | 15.2611i | 0.504410 | − | 0.605617i | ||||
\(636\) | −11.8222 | − | 15.0780i | −0.468782 | − | 0.597880i | ||||
\(637\) | −12.7756 | + | 6.50952i | −0.506190 | + | 0.257916i | ||||
\(638\) | 7.46725 | − | 53.4675i | 0.295631 | − | 2.11680i | ||||
\(639\) | −0.823224 | − | 2.53362i | −0.0325663 | − | 0.100229i | ||||
\(640\) | 25.2495 | − | 1.56918i | 0.998074 | − | 0.0620274i | ||||
\(641\) | −3.67884 | + | 11.3223i | −0.145305 | + | 0.447204i | −0.997050 | − | 0.0767532i | \(-0.975545\pi\) |
0.851745 | + | 0.523957i | \(0.175545\pi\) | |||||||
\(642\) | −3.35476 | − | 1.63264i | −0.132402 | − | 0.0644352i | ||||
\(643\) | −10.0895 | − | 10.0895i | −0.397891 | − | 0.397891i | 0.479597 | − | 0.877489i | \(-0.340783\pi\) |
−0.877489 | + | 0.479597i | \(0.840783\pi\) | |||||||
\(644\) | −1.76822 | − | 0.503723i | −0.0696777 | − | 0.0198495i | ||||
\(645\) | −13.7580 | + | 5.89939i | −0.541720 | + | 0.232288i | ||||
\(646\) | 61.6371 | − | 1.12917i | 2.42508 | − | 0.0444266i | ||||
\(647\) | −0.406782 | + | 2.56832i | −0.0159923 | + | 0.100971i | −0.994393 | − | 0.105744i | \(-0.966277\pi\) |
0.978401 | + | 0.206716i | \(0.0662775\pi\) | |||||||
\(648\) | 2.10683 | + | 1.88713i | 0.0827642 | + | 0.0741335i | ||||
\(649\) | − | 2.50444i | − | 0.0983080i | ||||||
\(650\) | −14.0695 | + | 7.94996i | −0.551851 | + | 0.311823i | ||||
\(651\) | 6.23085i | 0.244206i | ||||||||
\(652\) | −4.34075 | + | 35.8650i | −0.169997 | + | 1.40458i | ||||
\(653\) | 0.567698 | − | 3.58430i | 0.0222157 | − | 0.140265i | −0.974087 | − | 0.226172i | \(-0.927379\pi\) |
0.996303 | + | 0.0859073i | \(0.0273789\pi\) | |||||||
\(654\) | 0.281840 | + | 15.3846i | 0.0110208 | + | 0.601584i | ||||
\(655\) | 14.6944 | + | 16.7796i | 0.574157 | + | 0.655634i | ||||
\(656\) | −30.0064 | + | 2.20253i | −1.17155 | + | 0.0859943i | ||||
\(657\) | −8.92739 | − | 8.92739i | −0.348291 | − | 0.348291i | ||||
\(658\) | 0.717823 | − | 1.47499i | 0.0279836 | − | 0.0575011i | ||||
\(659\) | −13.9159 | + | 42.8287i | −0.542087 | + | 1.66837i | 0.185731 | + | 0.982601i | \(0.440535\pi\) |
−0.727818 | + | 0.685770i | \(0.759465\pi\) | |||||||
\(660\) | 18.8112 | + | 14.5344i | 0.732223 | + | 0.565751i | ||||
\(661\) | −8.18738 | − | 25.1982i | −0.318452 | − | 0.980095i | −0.974310 | − | 0.225210i | \(-0.927693\pi\) |
0.655858 | − | 0.754884i | \(-0.272307\pi\) | |||||||
\(662\) | −1.93208 | − | 0.269833i | −0.0750924 | − | 0.0104874i | ||||
\(663\) | −10.4112 | + | 5.30476i | −0.404336 | + | 0.206020i | ||||
\(664\) | 0.562896 | + | 10.2329i | 0.0218446 | + | 0.397115i | ||||
\(665\) | 1.07391 | − | 16.2093i | 0.0416446 | − | 0.628571i | ||||
\(666\) | −0.717553 | − | 0.950514i | −0.0278046 | − | 0.0368317i | ||||
\(667\) | −7.65246 | + | 1.21203i | −0.296305 | + | 0.0469300i | ||||
\(668\) | −18.4988 | + | 39.8505i | −0.715741 | + | 1.54186i | ||||
\(669\) | −8.78924 | + | 12.0974i | −0.339812 | + | 0.467711i | ||||
\(670\) | 7.03254 | − | 3.16926i | 0.271691 | − | 0.122439i | ||||
\(671\) | 28.3156 | + | 38.9731i | 1.09311 | + | 1.50454i | ||||
\(672\) | 0.315455 | − | 4.80984i | 0.0121690 | − | 0.185544i | ||||
\(673\) | −40.9245 | − | 20.8521i | −1.57752 | − | 0.803788i | −0.577600 | − | 0.816320i | \(-0.696011\pi\) |
−0.999921 | + | 0.0125321i | \(0.996011\pi\) | |||||||
\(674\) | 26.9968 | + | 18.8686i | 1.03988 | + | 0.726791i | ||||
\(675\) | −3.03820 | − | 3.97106i | −0.116940 | − | 0.152846i | ||||
\(676\) | 5.34501 | + | 14.6067i | 0.205577 | + | 0.561795i | ||||
\(677\) | −9.13864 | + | 17.9356i | −0.351226 | + | 0.689321i | −0.997259 | − | 0.0739891i | \(-0.976427\pi\) |
0.646033 | + | 0.763310i | \(0.276427\pi\) | |||||||
\(678\) | 7.44422 | − | 7.72206i | 0.285894 | − | 0.296564i | ||||
\(679\) | −9.66664 | + | 7.02323i | −0.370972 | + | 0.269527i | ||||
\(680\) | −31.8792 | − | 5.41595i | −1.22251 | − | 0.207692i | ||||
\(681\) | 17.0351 | + | 12.3768i | 0.652788 | + | 0.474278i | ||||
\(682\) | 54.1266 | − | 9.59222i | 2.07261 | − | 0.367305i | ||||
\(683\) | −1.61736 | − | 10.2116i | −0.0618867 | − | 0.390737i | −0.999117 | − | 0.0420251i | \(-0.986619\pi\) |
0.937230 | − | 0.348712i | \(-0.113381\pi\) | |||||||
\(684\) | −17.0405 | + | 0.624561i | −0.651559 | + | 0.0238807i | ||||
\(685\) | −3.60460 | − | 14.2353i | −0.137725 | − | 0.543902i | ||||
\(686\) | −4.66346 | + | 15.3008i | −0.178052 | + | 0.584186i | ||||
\(687\) | 8.27628 | + | 16.2431i | 0.315760 | + | 0.619714i | ||||
\(688\) | 10.3778 | − | 24.6855i | 0.395649 | − | 0.941125i | ||||
\(689\) | −20.8227 | + | 6.76570i | −0.793281 | + | 0.257752i | ||||
\(690\) | 1.20821 | − | 3.19053i | 0.0459957 | − | 0.121461i | ||||
\(691\) | 2.93448 | + | 0.953470i | 0.111633 | + | 0.0362717i | 0.364301 | − | 0.931281i | \(-0.381308\pi\) |
−0.252668 | + | 0.967553i | \(0.581308\pi\) | |||||||
\(692\) | −30.2046 | + | 16.8110i | −1.14821 | + | 0.639058i | ||||
\(693\) | 3.20276 | − | 3.20276i | 0.121663 | − | 0.121663i | ||||
\(694\) | −42.6829 | + | 14.7382i | −1.62022 | + | 0.559454i | ||||
\(695\) | −25.5039 | + | 2.32532i | −0.967419 | + | 0.0882044i | ||||
\(696\) | −7.32850 | − | 18.9444i | −0.277786 | − | 0.718086i | ||||
\(697\) | 37.9837 | + | 6.01603i | 1.43874 | + | 0.227874i | ||||
\(698\) | 6.56371 | − | 3.49727i | 0.248440 | − | 0.132373i | ||||
\(699\) | 1.41248 | 0.0534249 | ||||||||
\(700\) | −2.13087 | + | 8.25021i | −0.0805392 | + | 0.311829i | ||||
\(701\) | −8.01163 | −0.302595 | −0.151297 | − | 0.988488i | \(-0.548345\pi\) | ||||
−0.151297 | + | 0.988488i | \(0.548345\pi\) | |||||||
\(702\) | 2.85241 | − | 1.51982i | 0.107657 | − | 0.0573618i | ||||
\(703\) | 7.09155 | + | 1.12319i | 0.267463 | + | 0.0423620i | ||||
\(704\) | −42.2681 | + | 4.66430i | −1.59304 | + | 0.175792i | ||||
\(705\) | 2.61483 | + | 1.55816i | 0.0984803 | + | 0.0586838i | ||||
\(706\) | 25.5636 | − | 8.82699i | 0.962100 | − | 0.332208i | ||||
\(707\) | −5.64437 | + | 5.64437i | −0.212278 | + | 0.212278i | ||||
\(708\) | −0.458261 | − | 0.823365i | −0.0172225 | − | 0.0309439i | ||||
\(709\) | −13.2114 | − | 4.29265i | −0.496166 | − | 0.161214i | 0.0502358 | − | 0.998737i | \(-0.484003\pi\) |
−0.546401 | + | 0.837523i | \(0.684003\pi\) | |||||||
\(710\) | −6.57085 | − | 5.27195i | −0.246599 | − | 0.197853i | ||||
\(711\) | 1.54732 | − | 0.502755i | 0.0580291 | − | 0.0188548i | ||||
\(712\) | 25.3935 | − | 5.46641i | 0.951661 | − | 0.204862i | ||||
\(713\) | −3.58153 | − | 7.02915i | −0.134129 | − | 0.263244i | ||||
\(714\) | −1.79624 | + | 5.89346i | −0.0672227 | + | 0.220557i | ||||
\(715\) | 22.9838 | − | 14.4790i | 0.859546 | − | 0.541485i | ||||
\(716\) | −0.289054 | − | 7.88651i | −0.0108024 | − | 0.294733i | ||||
\(717\) | −1.21405 | − | 7.66520i | −0.0453394 | − | 0.286262i | ||||
\(718\) | −49.6189 | + | 8.79338i | −1.85176 | + | 0.328166i | ||||
\(719\) | 12.9114 | + | 9.38067i | 0.481513 | + | 0.349840i | 0.801911 | − | 0.597443i | \(-0.203817\pi\) |
−0.320398 | + | 0.947283i | \(0.603817\pi\) | |||||||
\(720\) | 8.84388 | + | 1.33631i | 0.329592 | + | 0.0498013i | ||||
\(721\) | 0.609255 | − | 0.442650i | 0.0226898 | − | 0.0164851i | ||||
\(722\) | 52.6996 | − | 54.6665i | 1.96128 | − | 2.03448i | ||||
\(723\) | 1.82825 | − | 3.58814i | 0.0679932 | − | 0.133444i | ||||
\(724\) | 3.95022 | − | 1.44550i | 0.146809 | − | 0.0537216i | ||||
\(725\) | 6.49380 | + | 35.3157i | 0.241174 | + | 1.31159i | ||||
\(726\) | −20.0017 | − | 13.9796i | −0.742334 | − | 0.518832i | ||||
\(727\) | −6.07181 | − | 3.09374i | −0.225191 | − | 0.114741i | 0.337756 | − | 0.941234i | \(-0.390332\pi\) |
−0.562946 | + | 0.826493i | \(0.690332\pi\) | |||||||
\(728\) | −5.03761 | − | 2.22726i | −0.186706 | − | 0.0825476i | ||||
\(729\) | 0.587785 | + | 0.809017i | 0.0217698 | + | 0.0299636i | ||||
\(730\) | −39.0892 | − | 8.12412i | −1.44676 | − | 0.300687i | ||||
\(731\) | −20.1185 | + | 27.6908i | −0.744111 | + | 1.02418i | ||||
\(732\) | 16.4403 | + | 7.63169i | 0.607653 | + | 0.282075i | ||||
\(733\) | −43.7525 | + | 6.92971i | −1.61603 | + | 0.255955i | −0.897981 | − | 0.440034i | \(-0.854967\pi\) |
−0.718053 | + | 0.695988i | \(0.754967\pi\) | |||||||
\(734\) | 29.2837 | + | 38.7910i | 1.08088 | + | 1.43180i | ||||
\(735\) | −13.0265 | − | 5.20773i | −0.480491 | − | 0.192090i | ||||
\(736\) | 2.40886 | + | 5.60741i | 0.0887916 | + | 0.206692i | ||||
\(737\) | −11.5530 | + | 5.88653i | −0.425559 | + | 0.216833i | ||||
\(738\) | −10.5352 | − | 1.47134i | −0.387805 | − | 0.0541607i | ||||
\(739\) | −15.9575 | − | 49.1120i | −0.587005 | − | 1.80661i | −0.591066 | − | 0.806623i | \(-0.701293\pi\) |
0.00406139 | − | 0.999992i | \(-0.498707\pi\) | |||||||
\(740\) | −3.54587 | − | 1.26901i | −0.130349 | − | 0.0466496i | ||||
\(741\) | −6.02127 | + | 18.5316i | −0.221197 | + | 0.680774i | ||||
\(742\) | −5.05176 | + | 10.3804i | −0.185456 | + | 0.381076i | ||||
\(743\) | −16.6280 | − | 16.6280i | −0.610022 | − | 0.610022i | 0.332930 | − | 0.942952i | \(-0.391963\pi\) |
−0.942952 | + | 0.332930i | \(0.891963\pi\) | |||||||
\(744\) | 16.0396 | − | 13.0576i | 0.588039 | − | 0.478715i | ||||
\(745\) | −9.93400 | − | 2.25521i | −0.363954 | − | 0.0826246i | ||||
\(746\) | 0.437577 | + | 23.8857i | 0.0160208 | + | 0.874516i | ||||
\(747\) | −0.566819 | + | 3.57875i | −0.0207388 | + | 0.130940i | ||||
\(748\) | 53.9610 | + | 6.53091i | 1.97301 | + | 0.238794i | ||||
\(749\) | 2.24798i | 0.0821393i | ||||||||
\(750\) | −14.9208 | − | 5.23159i | −0.544831 | − | 0.191031i | ||||
\(751\) | 18.4403i | 0.672897i | 0.941702 | + | 0.336449i | \(0.109226\pi\) | ||||
−0.941702 | + | 0.336449i | \(0.890774\pi\) | |||||||
\(752\) | −5.30124 | + | 1.24321i | −0.193316 | + | 0.0453351i | ||||
\(753\) | −0.867522 | + | 5.47732i | −0.0316142 | + | 0.199604i | ||||
\(754\) | −23.2072 | + | 0.425148i | −0.845156 | + | 0.0154830i | ||||
\(755\) | 8.39391 | + | 1.90558i | 0.305486 | + | 0.0693512i | ||||
\(756\) | 0.466906 | − | 1.63898i | 0.0169812 | − | 0.0596092i | ||||
\(757\) | −18.0592 | − | 18.0592i | −0.656374 | − | 0.656374i | 0.298146 | − | 0.954520i | \(-0.403632\pi\) |
−0.954520 | + | 0.298146i | \(0.903632\pi\) | |||||||
\(758\) | 10.9937 | + | 5.35025i | 0.399310 | + | 0.194330i | ||||
\(759\) | −1.77213 | + | 5.45406i | −0.0643243 | + | 0.197970i | ||||
\(760\) | −43.9769 | + | 31.2044i | −1.59521 | + | 1.13190i | ||||
\(761\) | −2.85694 | − | 8.79274i | −0.103564 | − | 0.318737i | 0.885827 | − | 0.464016i | \(-0.153592\pi\) |
−0.989391 | + | 0.145279i | \(0.953592\pi\) | |||||||
\(762\) | −1.73744 | + | 12.4405i | −0.0629407 | + | 0.450672i | ||||
\(763\) | 8.26061 | − | 4.20899i | 0.299054 | − | 0.152376i | ||||
\(764\) | 28.5681 | − | 22.3995i | 1.03356 | − | 0.810386i | ||||
\(765\) | −10.6156 | − | 4.24390i | −0.383809 | − | 0.153439i | ||||
\(766\) | 0.717940 | − | 0.541980i | 0.0259402 | − | 0.0195825i | ||||
\(767\) | −1.06351 | + | 0.168444i | −0.0384012 | + | 0.00608215i | ||||
\(768\) | −13.0427 | + | 9.26763i | −0.470637 | + | 0.334417i | ||||
\(769\) | 28.8462 | − | 39.7033i | 1.04022 | − | 1.43174i | 0.143228 | − | 0.989690i | \(-0.454252\pi\) |
0.896991 | − | 0.442049i | \(-0.145748\pi\) | |||||||
\(770\) | 2.91458 | − | 14.0235i | 0.105034 | − | 0.505371i | ||||
\(771\) | −12.4406 | − | 17.1231i | −0.448039 | − | 0.616673i | ||||
\(772\) | −0.872229 | − | 4.44618i | −0.0313922 | − | 0.160022i | ||||
\(773\) | −14.8891 | − | 7.58635i | −0.535522 | − | 0.272862i | 0.165245 | − | 0.986253i | \(-0.447159\pi\) |
−0.700767 | + | 0.713390i | \(0.747159\pi\) | |||||||
\(774\) | 5.42364 | − | 7.76003i | 0.194949 | − | 0.278928i | ||||
\(775\) | −32.1559 | + | 17.4005i | −1.15507 | + | 0.625043i | ||||
\(776\) | 38.3371 | + | 10.1659i | 1.37622 | + | 0.364935i | ||||
\(777\) | −0.325771 | + | 0.639362i | −0.0116870 | + | 0.0229370i | ||||
\(778\) | −32.0218 | − | 30.8696i | −1.14804 | − | 1.10673i | ||||
\(779\) | 51.8827 | − | 37.6950i | 1.85889 | − | 1.35056i | ||||
\(780\) | 4.90684 | − | 8.96571i | 0.175693 | − | 0.321024i | ||||
\(781\) | 11.4563 | + | 8.32349i | 0.409939 | + | 0.297838i | ||||
\(782\) | −1.36122 | − | 7.68103i | −0.0486771 | − | 0.274673i | ||||
\(783\) | −1.12344 | − | 7.09314i | −0.0401486 | − | 0.253488i | ||||
\(784\) | 23.2357 | − | 9.48142i | 0.829847 | − | 0.338622i | ||||
\(785\) | −3.88711 | + | 2.44875i | −0.138737 | + | 0.0873996i | ||||
\(786\) | −13.4936 | − | 4.11267i | −0.481302 | − | 0.146694i | ||||
\(787\) | −10.7649 | − | 21.1273i | −0.383727 | − | 0.753106i | 0.615664 | − | 0.788009i | \(-0.288888\pi\) |
−0.999391 | + | 0.0349028i | \(0.988888\pi\) | |||||||
\(788\) | −24.5594 | + | 26.4282i | −0.874893 | + | 0.941465i | ||||
\(789\) | 11.8627 | − | 3.85442i | 0.422323 | − | 0.137221i | ||||
\(790\) | 3.21966 | − | 4.01291i | 0.114550 | − | 0.142773i | ||||
\(791\) | −6.14634 | − | 1.99707i | −0.218539 | − | 0.0710075i | ||||
\(792\) | −14.9564 | − | 1.53278i | −0.531453 | − | 0.0544650i | ||||
\(793\) | 14.6455 | − | 14.6455i | 0.520076 | − | 0.520076i | ||||
\(794\) | 9.37321 | + | 27.1455i | 0.332643 | + | 0.963359i | ||||
\(795\) | −18.4022 | − | 10.9657i | −0.652658 | − | 0.388915i | ||||
\(796\) | 10.0282 | − | 14.9230i | 0.355440 | − | 0.528931i | ||||
\(797\) | −19.1421 | − | 3.03182i | −0.678049 | − | 0.107392i | −0.192094 | − | 0.981376i | \(-0.561528\pi\) |
−0.485955 | + | 0.873984i | \(0.661528\pi\) | |||||||
\(798\) | 4.83127 | + | 9.06737i | 0.171025 | + | 0.320982i | ||||
\(799\) | 6.95984 | 0.246222 | ||||||||
\(800\) | 25.7034 | − | 11.8041i | 0.908751 | − | 0.417339i | ||||
\(801\) | 9.18362 | 0.324487 | ||||||||
\(802\) | 0.817580 | + | 1.53444i | 0.0288698 | + | 0.0541831i | ||||
\(803\) | 66.2843 | + | 10.4984i | 2.33912 | + | 0.370480i | ||||
\(804\) | −2.72106 | + | 4.04922i | −0.0959643 | + | 0.142805i | ||||
\(805\) | −2.04709 | + | 0.186644i | −0.0721506 | + | 0.00657833i | ||||
\(806\) | −7.71378 | − | 22.3397i | −0.271706 | − | 0.786882i | ||||
\(807\) | −20.6810 | + | 20.6810i | −0.728005 | + | 0.728005i | ||||
\(808\) | 26.3584 | + | 2.70129i | 0.927284 | + | 0.0950312i | ||||
\(809\) | 31.3962 | + | 10.2012i | 1.10383 | + | 0.358657i | 0.803576 | − | 0.595202i | \(-0.202928\pi\) |
0.300256 | + | 0.953859i | \(0.402928\pi\) | |||||||
\(810\) | 2.95733 | + | 1.11990i | 0.103910 | + | 0.0393492i | ||||
\(811\) | 37.5672 | − | 12.2063i | 1.31916 | − | 0.428622i | 0.436956 | − | 0.899483i | \(-0.356057\pi\) |
0.882207 | + | 0.470861i | \(0.156057\pi\) | |||||||
\(812\) | −8.33131 | + | 8.96526i | −0.292372 | + | 0.314619i | ||||
\(813\) | −10.7977 | − | 21.1916i | −0.378690 | − | 0.743222i | ||||
\(814\) | 6.05557 | + | 1.84565i | 0.212248 | + | 0.0646900i | ||||
\(815\) | 9.91471 | + | 39.1551i | 0.347297 | + | 1.37154i | ||||
\(816\) | 18.9353 | − | 7.72663i | 0.662869 | − | 0.270486i | ||||
\(817\) | 8.92888 | + | 56.3747i | 0.312382 | + | 1.97230i | ||||
\(818\) | 4.95411 | + | 27.9549i | 0.173217 | + | 0.977419i | ||||
\(819\) | −1.57546 | − | 1.14464i | −0.0550511 | − | 0.0399969i | ||||
\(820\) | −30.4098 | + | 14.3802i | −1.06196 | + | 0.502179i | ||||
\(821\) | 2.34624 | − | 1.70464i | 0.0818844 | − | 0.0594925i | −0.546090 | − | 0.837727i | \(-0.683884\pi\) |
0.627974 | + | 0.778234i | \(0.283884\pi\) | |||||||
\(822\) | 6.68632 | + | 6.44574i | 0.233212 | + | 0.224821i | ||||
\(823\) | 11.4375 | − | 22.4474i | 0.398686 | − | 0.782466i | −0.601175 | − | 0.799117i | \(-0.705301\pi\) |
0.999861 | + | 0.0166513i | \(0.00530052\pi\) | |||||||
\(824\) | −2.41625 | − | 0.640722i | −0.0841741 | − | 0.0223206i | ||||
\(825\) | 25.4727 | + | 7.58452i | 0.886847 | + | 0.264059i | ||||
\(826\) | −0.325250 | + | 0.465361i | −0.0113169 | + | 0.0161920i | ||||
\(827\) | −1.65601 | − | 0.843779i | −0.0575851 | − | 0.0293411i | 0.424961 | − | 0.905212i | \(-0.360288\pi\) |
−0.482546 | + | 0.875871i | \(0.660288\pi\) | |||||||
\(828\) | 0.415371 | + | 2.11735i | 0.0144351 | + | 0.0735830i | ||||
\(829\) | 14.2865 | + | 19.6637i | 0.496192 | + | 0.682950i | 0.981515 | − | 0.191385i | \(-0.0612980\pi\) |
−0.485323 | + | 0.874335i | \(0.661298\pi\) | |||||||
\(830\) | 4.70770 | + | 10.4463i | 0.163407 | + | 0.362596i | ||||
\(831\) | 4.66936 | − | 6.42682i | 0.161978 | − | 0.222944i | ||||
\(832\) | 4.82356 | + | 17.6354i | 0.167227 | + | 0.611399i | ||||
\(833\) | −31.6823 | + | 5.01798i | −1.09773 | + | 0.173863i | ||||
\(834\) | 12.9271 | − | 9.75878i | 0.447628 | − | 0.337919i | ||||
\(835\) | −3.24726 | + | 49.0132i | −0.112376 | + | 1.69617i | ||||
\(836\) | 71.3295 | − | 55.9275i | 2.46698 | − | 1.93429i | ||||
\(837\) | 6.51539 | − | 3.31976i | 0.225205 | − | 0.114748i | ||||
\(838\) | −0.380825 | + | 2.72681i | −0.0131554 | + | 0.0941962i | ||||
\(839\) | 13.4561 | + | 41.4137i | 0.464557 | + | 1.42976i | 0.859539 | + | 0.511070i | \(0.170751\pi\) |
−0.394983 | + | 0.918688i | \(0.629249\pi\) | |||||||
\(840\) | −1.60781 | − | 5.14369i | −0.0554746 | − | 0.177474i | ||||
\(841\) | −6.97598 | + | 21.4699i | −0.240551 | + | 0.740340i | ||||
\(842\) | −13.1701 | − | 6.40941i | −0.453872 | − | 0.220883i | ||||
\(843\) | −7.00329 | − | 7.00329i | −0.241206 | − | 0.241206i | ||||
\(844\) | 4.43194 | − | 15.5575i | 0.152554 | − | 0.535510i | ||||
\(845\) | 11.4567 | + | 13.0824i | 0.394121 | + | 0.450049i | ||||
\(846\) | −1.92480 | + | 0.0352616i | −0.0661759 | + | 0.00121232i | ||||
\(847\) | −2.30010 | + | 14.5222i | −0.0790323 | + | 0.498990i | ||||
\(848\) | 37.3081 | − | 8.74921i | 1.28116 | − | 0.300449i | ||||
\(849\) | 13.7936i | 0.473395i | ||||||||
\(850\) | −35.4309 | + | 7.18828i | −1.21527 | + | 0.246556i | ||||
\(851\) | − | 0.908533i | − | 0.0311441i | ||||||
\(852\) | 5.28942 | + | 0.640180i | 0.181213 | + | 0.0219322i | ||||
\(853\) | 3.25168 | − | 20.5303i | 0.111335 | − | 0.702944i | −0.867368 | − | 0.497667i | \(-0.834190\pi\) |
0.978704 | − | 0.205278i | \(-0.0658097\pi\) | |||||||
\(854\) | −0.200034 | − | 10.9191i | −0.00684502 | − | 0.373643i | ||||
\(855\) | −17.5217 | + | 7.51327i | −0.599230 | + | 0.256949i | ||||
\(856\) | 5.78678 | − | 4.71094i | 0.197788 | − | 0.161017i | ||||
\(857\) | 16.0568 | + | 16.0568i | 0.548489 | + | 0.548489i | 0.926004 | − | 0.377515i | \(-0.123221\pi\) |
−0.377515 | + | 0.926004i | \(0.623221\pi\) | |||||||
\(858\) | −7.51795 | + | 15.4480i | −0.256659 | + | 0.527385i | ||||
\(859\) | 4.71199 | − | 14.5020i | 0.160771 | − | 0.494802i | −0.837929 | − | 0.545780i | \(-0.816234\pi\) |
0.998700 | + | 0.0509773i | \(0.0162336\pi\) | |||||||
\(860\) | 0.883694 | − | 29.9259i | 0.0301337 | − | 1.02046i | ||||
\(861\) | 1.98058 | + | 6.09559i | 0.0674978 | + | 0.207737i | ||||
\(862\) | 41.7592 | + | 5.83207i | 1.42232 | + | 0.198641i | ||||
\(863\) | −29.0891 | + | 14.8216i | −0.990204 | + | 0.504534i | −0.872552 | − | 0.488521i | \(-0.837537\pi\) |
−0.117651 | + | 0.993055i | \(0.537537\pi\) | |||||||
\(864\) | −5.19756 | + | 2.23279i | −0.176825 | + | 0.0759611i | ||||
\(865\) | −24.7339 | + | 29.6966i | −0.840979 | + | 1.00972i | ||||
\(866\) | −30.4666 | − | 40.3579i | −1.03530 | − | 1.37142i | ||||
\(867\) | −9.02792 | + | 1.42988i | −0.306604 | + | 0.0485613i | ||||
\(868\) | −11.3032 | − | 5.24701i | −0.383656 | − | 0.178095i | ||||
\(869\) | −5.08328 | + | 6.99653i | −0.172438 | + | 0.237341i | ||||
\(870\) | −15.2722 | − | 16.8080i | −0.517775 | − | 0.569844i | ||||
\(871\) | 3.27674 | + | 4.51005i | 0.111028 | + | 0.152817i | ||||
\(872\) | −28.1461 | − | 12.4441i | −0.953146 | − | 0.421410i | ||||
\(873\) | 12.4943 | + | 6.36615i | 0.422867 | + | 0.215461i | ||||
\(874\) | −10.6622 | − | 7.45205i | −0.360655 | − | 0.252069i | ||||
\(875\) | 1.09970 | + | 9.46303i | 0.0371766 | + | 0.319909i | ||||
\(876\) | 23.7127 | − | 8.67717i | 0.801179 | − | 0.293175i | ||||
\(877\) | 0.820873 | − | 1.61105i | 0.0277189 | − | 0.0544014i | −0.876732 | − | 0.480980i | \(-0.840281\pi\) |
0.904451 | + | 0.426578i | \(0.140281\pi\) | |||||||
\(878\) | −14.9112 | + | 15.4677i | −0.503228 | + | 0.522010i | ||||
\(879\) | 8.24631 | − | 5.99130i | 0.278141 | − | 0.202081i | ||||
\(880\) | −42.2074 | + | 21.8854i | −1.42281 | + | 0.737756i | ||||
\(881\) | −3.38892 | − | 2.46219i | −0.114176 | − | 0.0829534i | 0.529232 | − | 0.848477i | \(-0.322480\pi\) |
−0.643408 | + | 0.765524i | \(0.722480\pi\) | |||||||
\(882\) | 8.73655 | − | 1.54828i | 0.294175 | − | 0.0521332i | ||||
\(883\) | 0.698457 | + | 4.40988i | 0.0235050 | + | 0.148404i | 0.996650 | − | 0.0817902i | \(-0.0260637\pi\) |
−0.973145 | + | 0.230195i | \(0.926064\pi\) | |||||||
\(884\) | −0.855954 | − | 23.3538i | −0.0287888 | − | 0.785472i | ||||
\(885\) | −0.809519 | − | 0.674237i | −0.0272117 | − | 0.0226642i | ||||
\(886\) | −4.02809 | + | 13.2161i | −0.135326 | + | 0.444005i | ||||
\(887\) | 19.7283 | + | 38.7189i | 0.662410 | + | 1.30005i | 0.940597 | + | 0.339526i | \(0.110267\pi\) |
−0.278187 | + | 0.960527i | \(0.589733\pi\) | |||||||
\(888\) | 2.32856 | − | 0.501264i | 0.0781412 | − | 0.0168213i | ||||
\(889\) | 7.19801 | − | 2.33877i | 0.241413 | − | 0.0784400i | ||||
\(890\) | 24.2842 | − | 15.9269i | 0.814008 | − | 0.533871i | ||||
\(891\) | −5.05542 | − | 1.64261i | −0.169363 | − | 0.0550294i | ||||
\(892\) | −14.5441 | − | 26.1315i | −0.486971 | − | 0.874948i | ||||
\(893\) | 8.20675 | − | 8.20675i | 0.274628 | − | 0.274628i | ||||
\(894\) | 6.08986 | − | 2.10280i | 0.203675 | − | 0.0703281i | ||||
\(895\) | −3.47722 | − | 8.10924i | −0.116231 | − | 0.271062i | ||||
\(896\) | 8.45977 | + | 4.62264i | 0.282621 | + | 0.154431i | ||||
\(897\) | 2.43526 | + | 0.385707i | 0.0813108 | + | 0.0128784i | ||||
\(898\) | −7.41509 | + | 3.95090i | −0.247445 | + | 0.131843i | ||||
\(899\) | −52.5144 | −1.75145 | ||||||||
\(900\) | 9.76228 | − | 2.16748i | 0.325409 | − | 0.0722494i | ||||
\(901\) | −48.9807 | −1.63178 | ||||||||
\(902\) | 49.9025 | − | 26.5890i | 1.66157 | − | 0.885316i | ||||
\(903\) | −5.63416 | − | 0.892363i | −0.187493 | − | 0.0296960i | ||||
\(904\) | 7.73960 | + | 20.0071i | 0.257415 | + | 0.665427i | ||||
\(905\) | 3.53801 | − | 3.09833i | 0.117607 | − | 0.102992i | ||||
\(906\) | −5.14573 | + | 1.77679i | −0.170956 | + | 0.0590300i | ||||
\(907\) | 23.5595 | − | 23.5595i | 0.782281 | − | 0.782281i | −0.197934 | − | 0.980215i | \(-0.563423\pi\) |
0.980215 | + | 0.197934i | \(0.0634233\pi\) | |||||||
\(908\) | −36.7977 | + | 20.4805i | −1.22117 | + | 0.679670i | ||||
\(909\) | 8.90940 | + | 2.89484i | 0.295506 | + | 0.0960158i | ||||
\(910\) | −6.15110 | − | 0.294484i | −0.203907 | − | 0.00976204i | ||||
\(911\) | 27.5055 | − | 8.93709i | 0.911299 | − | 0.296099i | 0.184407 | − | 0.982850i | \(-0.440964\pi\) |
0.726893 | + | 0.686751i | \(0.240964\pi\) | |||||||
\(912\) | 13.2168 | − | 31.4386i | 0.437653 | − | 1.04104i | ||||
\(913\) | −8.74399 | − | 17.1610i | −0.289384 | − | 0.567948i | ||||
\(914\) | −4.52915 | + | 14.8601i | −0.149811 | + | 0.491529i | ||||
\(915\) | 20.2204 | + | 1.33966i | 0.668466 | + | 0.0442877i | ||||
\(916\) | −36.4357 | + | 1.33543i | −1.20387 | + | 0.0441238i | ||||
\(917\) | 1.32961 | + | 8.39481i | 0.0439075 | + | 0.277221i | ||||
\(918\) | 7.11962 | − | 1.26173i | 0.234982 | − | 0.0416432i | ||||
\(919\) | 36.3077 | + | 26.3791i | 1.19768 | + | 0.870167i | 0.994055 | − | 0.108882i | \(-0.0347269\pi\) |
0.203627 | + | 0.979048i | \(0.434727\pi\) | |||||||
\(920\) | 4.77043 | + | 4.87853i | 0.157276 | + | 0.160840i | ||||
\(921\) | −6.85033 | + | 4.97705i | −0.225726 | + | 0.163999i | ||||
\(922\) | 0.614634 | − | 0.637574i | 0.0202419 | − | 0.0209974i | ||||
\(923\) | 2.76404 | − | 5.42474i | 0.0909796 | − | 0.178557i | ||||
\(924\) | 3.11299 | + | 8.50708i | 0.102410 | + | 0.279863i | ||||
\(925\) | −4.20935 | + | 0.104276i | −0.138403 | + | 0.00342858i | ||||
\(926\) | 19.3272 | + | 13.5082i | 0.635132 | + | 0.443906i | ||||
\(927\) | −0.787470 | − | 0.401236i | −0.0258639 | − | 0.0131783i | ||||
\(928\) | 40.5379 | + | 2.65870i | 1.33072 | + | 0.0872759i | ||||
\(929\) | 29.4301 | + | 40.5070i | 0.965570 | + | 1.32899i | 0.944253 | + | 0.329220i | \(0.106786\pi\) |
0.0213163 | + | 0.999773i | \(0.493214\pi\) | |||||||
\(930\) | 11.4712 | − | 20.0779i | 0.376157 | − | 0.658380i | ||||
\(931\) | −31.4414 | + | 43.2754i | −1.03045 | + | 1.41829i | ||||
\(932\) | −1.18945 | + | 2.56234i | −0.0389618 | + | 0.0839323i | ||||
\(933\) | 6.73593 | − | 1.06687i | 0.220524 | − | 0.0349276i | ||||
\(934\) | 16.2964 | + | 21.5872i | 0.533233 | + | 0.706354i | ||||
\(935\) | 58.9112 | − | 14.9172i | 1.92660 | − | 0.487846i | ||||
\(936\) | 0.355041 | + | 6.45433i | 0.0116049 | + | 0.210966i | ||||
\(937\) | −0.632785 | + | 0.322420i | −0.0206722 | + | 0.0105330i | −0.464296 | − | 0.885680i | \(-0.653693\pi\) |
0.443624 | + | 0.896213i | \(0.353693\pi\) | |||||||
\(938\) | 2.91118 | + | 0.406575i | 0.0950535 | + | 0.0132751i | ||||
\(939\) | 3.88622 | + | 11.9605i | 0.126822 | + | 0.390318i | ||||
\(940\) | −5.02858 | + | 3.43137i | −0.164014 | + | 0.111919i | ||||
\(941\) | 10.7026 | − | 32.9393i | 0.348896 | − | 1.07379i | −0.610569 | − | 0.791963i | \(-0.709059\pi\) |
0.959465 | − | 0.281828i | \(-0.0909406\pi\) | |||||||
\(942\) | 1.27147 | − | 2.61262i | 0.0414266 | − | 0.0851238i | ||||
\(943\) | −5.73811 | − | 5.73811i | −0.186859 | − | 0.186859i | ||||
\(944\) | 1.87955 | − | 0.137962i | 0.0611741 | − | 0.00449029i | ||||
\(945\) | −0.173002 | − | 1.89747i | −0.00562775 | − | 0.0617248i | ||||
\(946\) | 0.921789 | + | 50.3169i | 0.0299699 | + | 1.63594i | ||||
\(947\) | 6.33648 | − | 40.0069i | 0.205908 | − | 1.30005i | −0.640683 | − | 0.767806i | \(-0.721349\pi\) |
0.846590 | − | 0.532245i | \(-0.178651\pi\) | |||||||
\(948\) | −0.390967 | + | 3.23033i | −0.0126980 | + | 0.104916i | ||||
\(949\) | − | 28.8537i | − | 0.936631i | ||||||
\(950\) | −33.3025 | + | 50.2548i | −1.08048 | + | 1.63048i | ||||
\(951\) | − | 7.64207i | − | 0.247811i | ||||||
\(952\) | −9.17855 | − | 8.22141i | −0.297479 | − | 0.266458i | ||||
\(953\) | −4.32684 | + | 27.3186i | −0.140160 | + | 0.884935i | 0.812955 | + | 0.582327i | \(0.197858\pi\) |
−0.953115 | + | 0.302609i | \(0.902142\pi\) | |||||||
\(954\) | 13.5460 | − | 0.248158i | 0.438567 | − | 0.00803440i | ||||
\(955\) | 20.7767 | − | 34.8665i | 0.672319 | − | 1.12825i | ||||
\(956\) | 14.9276 | + | 4.25250i | 0.482793 | + | 0.137536i | ||||
\(957\) | 26.9932 | + | 26.9932i | 0.872567 | + | 0.872567i | ||||
\(958\) | −42.7477 | − | 20.8038i | −1.38112 | − | 0.672139i | ||||
\(959\) | 1.72920 | − | 5.32194i | 0.0558389 | − | 0.171854i | ||||
\(960\) | −9.87161 | + | 14.9182i | −0.318605 | + | 0.481481i | ||||
\(961\) | −6.94395 | − | 21.3713i | −0.223998 | − | 0.689396i | ||||
\(962\) | 0.376471 | − | 2.69563i | 0.0121379 | − | 0.0869106i | ||||
\(963\) | 2.35063 | − | 1.19771i | 0.0757481 | − | 0.0385956i | ||||
\(964\) | 4.96957 | + | 6.33815i | 0.160059 | + | 0.204138i | ||||
\(965\) | −2.70012 | − | 4.28614i | −0.0869200 | − | 0.137976i | ||||
\(966\) | 1.03760 | − | 0.783297i | 0.0333843 | − | 0.0252022i | ||||
\(967\) | 27.0413 | − | 4.28293i | 0.869591 | − | 0.137730i | 0.294334 | − | 0.955703i | \(-0.404902\pi\) |
0.575257 | + | 0.817973i | \(0.304902\pi\) | |||||||
\(968\) | 42.2036 | − | 24.5124i | 1.35647 | − | 0.787857i | ||||
\(969\) | −25.6223 | + | 35.2661i | −0.823108 | + | 1.13291i | ||||
\(970\) | 44.0792 | − | 4.83451i | 1.41530 | − | 0.155227i | ||||
\(971\) | 4.90651 | + | 6.75323i | 0.157457 | + | 0.216721i | 0.880456 | − | 0.474128i | \(-0.157237\pi\) |
−0.722998 | + | 0.690850i | \(0.757237\pi\) | |||||||
\(972\) | −1.96259 | + | 0.385011i | −0.0629502 | + | 0.0123492i | ||||
\(973\) | −8.69538 | − | 4.43052i | −0.278761 | − | 0.142036i | ||||
\(974\) | 16.9733 | − | 24.2850i | 0.543860 | − | 0.778143i | ||||
\(975\) | 1.50752 | − | 11.3271i | 0.0482794 | − | 0.362758i | ||||
\(976\) | −27.6889 | + | 23.3973i | −0.886300 | + | 0.748931i | ||||
\(977\) | −9.29264 | + | 18.2378i | −0.297298 | + | 0.583480i | −0.990540 | − | 0.137225i | \(-0.956182\pi\) |
0.693242 | + | 0.720705i | \(0.256182\pi\) | |||||||
\(978\) | −18.3912 | − | 17.7295i | −0.588086 | − | 0.566926i | ||||
\(979\) | −39.4932 | + | 28.6935i | −1.26221 | + | 0.917048i | ||||
\(980\) | 20.4169 | − | 19.2457i | 0.652193 | − | 0.614780i | ||||
\(981\) | −8.80239 | − | 6.39531i | −0.281039 | − | 0.204187i | ||||
\(982\) | 2.55787 | + | 14.4334i | 0.0816249 | + | 0.460590i | ||||
\(983\) | 7.77365 | + | 49.0809i | 0.247941 | + | 1.56544i | 0.726365 | + | 0.687309i | \(0.241208\pi\) |
−0.478424 | + | 0.878129i | \(0.658792\pi\) | |||||||
\(984\) | 11.5408 | − | 17.8726i | 0.367907 | − | 0.569756i | ||||
\(985\) | −14.9734 | + | 37.4542i | −0.477091 | + | 1.19339i | ||||
\(986\) | −49.6708 | − | 15.1390i | −1.58184 | − | 0.482122i | ||||
\(987\) | 0.526596 | + | 1.03350i | 0.0167617 | + | 0.0328968i | ||||
\(988\) | −28.5471 | − | 26.5285i | −0.908204 | − | 0.843983i | ||||
\(989\) | 6.86895 | − | 2.23186i | 0.218420 | − | 0.0709689i | ||||
\(990\) | −16.2167 | + | 4.42395i | −0.515402 | + | 0.140602i | ||||
\(991\) | 41.6237 | + | 13.5244i | 1.32222 | + | 0.429615i | 0.883257 | − | 0.468889i | \(-0.155346\pi\) |
0.438964 | + | 0.898505i | \(0.355346\pi\) | |||||||
\(992\) | 10.1805 | + | 40.0928i | 0.323231 | + | 1.27295i | ||||
\(993\) | 0.975415 | − | 0.975415i | 0.0309539 | − | 0.0309539i | ||||
\(994\) | −1.04778 | − | 3.03445i | −0.0332335 | − | 0.0962468i | ||||
\(995\) | 4.45022 | − | 19.6028i | 0.141081 | − | 0.621451i | ||||
\(996\) | −6.01480 | − | 4.04193i | −0.190586 | − | 0.128073i | ||||
\(997\) | −24.0006 | − | 3.80133i | −0.760108 | − | 0.120389i | −0.235665 | − | 0.971834i | \(-0.575727\pi\) |
−0.524444 | + | 0.851445i | \(0.675727\pi\) | |||||||
\(998\) | 11.6292 | + | 21.8258i | 0.368115 | + | 0.690882i | ||||
\(999\) | 0.842128 | 0.0266437 |
(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 | 300.2.w.a.67.10 | ✓ | 240 | |
3.2 | odd | 2 | 900.2.bj.f.667.21 | 240 | |||
4.3 | odd | 2 | inner | 300.2.w.a.67.30 | yes | 240 | |
12.11 | even | 2 | 900.2.bj.f.667.1 | 240 | |||
25.3 | odd | 20 | inner | 300.2.w.a.103.30 | yes | 240 | |
75.53 | even | 20 | 900.2.bj.f.703.1 | 240 | |||
100.3 | even | 20 | inner | 300.2.w.a.103.10 | yes | 240 | |
300.203 | odd | 20 | 900.2.bj.f.703.21 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.67.10 | ✓ | 240 | 1.1 | even | 1 | trivial | |
300.2.w.a.67.30 | yes | 240 | 4.3 | odd | 2 | inner | |
300.2.w.a.103.10 | yes | 240 | 100.3 | even | 20 | inner | |
300.2.w.a.103.30 | yes | 240 | 25.3 | odd | 20 | inner | |
900.2.bj.f.667.1 | 240 | 12.11 | even | 2 | |||
900.2.bj.f.667.21 | 240 | 3.2 | odd | 2 | |||
900.2.bj.f.703.1 | 240 | 75.53 | even | 20 | |||
900.2.bj.f.703.21 | 240 | 300.203 | odd | 20 |