Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [161,2,Mod(2,161)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(161, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([22, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("161.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 161 = 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 161.m (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.28559147254\) |
Analytic rank: | \(0\) |
Dimension: | \(280\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 100.8 | ||
Character | \(\chi\) | \(=\) | 161.100 |
Dual form | 161.2.m.a.95.8 |
$q$-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 \(\left(\mathbb{Z}/161\mathbb{Z}\right)^\times\).
\(n\) | \(24\) | \(120\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.108223 | + | 0.0851077i | 0.0765254 | + | 0.0601802i | 0.655689 | − | 0.755031i | \(-0.272378\pi\) |
−0.579164 | + | 0.815211i | \(0.696621\pi\) | |||||||
\(3\) | −0.832270 | + | 1.16876i | −0.480512 | + | 0.674784i | −0.981674 | − | 0.190569i | \(-0.938967\pi\) |
0.501162 | + | 0.865353i | \(0.332906\pi\) | |||||||
\(4\) | −0.467049 | − | 1.92520i | −0.233524 | − | 0.962601i | ||||
\(5\) | 1.72524 | − | 0.332512i | 0.771549 | − | 0.148704i | 0.211741 | − | 0.977326i | \(-0.432087\pi\) |
0.559809 | + | 0.828622i | \(0.310875\pi\) | |||||||
\(6\) | −0.189542 | + | 0.0556544i | −0.0773800 | + | 0.0227208i | ||||
\(7\) | 2.52712 | − | 0.783361i | 0.955162 | − | 0.296083i | ||||
\(8\) | 0.227692 | − | 0.498576i | 0.0805013 | − | 0.176273i | ||||
\(9\) | 0.307877 | + | 0.889553i | 0.102626 | + | 0.296518i | ||||
\(10\) | 0.215010 | + | 0.110845i | 0.0679922 | + | 0.0350524i | ||||
\(11\) | −1.08035 | + | 0.849597i | −0.325738 | + | 0.256163i | −0.767613 | − | 0.640913i | \(-0.778556\pi\) |
0.441875 | + | 0.897076i | \(0.354313\pi\) | |||||||
\(12\) | 2.63881 | + | 1.05642i | 0.761759 | + | 0.304962i | ||||
\(13\) | 3.83399 | − | 2.46395i | 1.06336 | − | 0.683378i | 0.112702 | − | 0.993629i | \(-0.464049\pi\) |
0.950655 | + | 0.310251i | \(0.100413\pi\) | |||||||
\(14\) | 0.340163 | + | 0.130300i | 0.0909125 | + | 0.0348240i | ||||
\(15\) | −1.04724 | + | 2.29313i | −0.270395 | + | 0.592083i | ||||
\(16\) | −3.45457 | + | 1.78095i | −0.863643 | + | 0.445239i | ||||
\(17\) | 1.60917 | + | 1.53434i | 0.390281 | + | 0.372132i | 0.859662 | − | 0.510864i | \(-0.170674\pi\) |
−0.469381 | + | 0.882996i | \(0.655523\pi\) | |||||||
\(18\) | −0.0423884 | + | 0.122473i | −0.00999103 | + | 0.0288672i | ||||
\(19\) | 1.45599 | − | 1.38828i | 0.334027 | − | 0.318494i | −0.504440 | − | 0.863447i | \(-0.668301\pi\) |
0.838467 | + | 0.544953i | \(0.183453\pi\) | |||||||
\(20\) | −1.44592 | − | 3.16613i | −0.323318 | − | 0.707968i | ||||
\(21\) | −1.18769 | + | 3.60557i | −0.259175 | + | 0.786799i | ||||
\(22\) | −0.189226 | −0.0403432 | ||||||||
\(23\) | −4.76811 | − | 0.514940i | −0.994219 | − | 0.107372i | ||||
\(24\) | 0.393215 | + | 0.681068i | 0.0802646 | + | 0.139022i | ||||
\(25\) | −1.77596 | + | 0.710988i | −0.355192 | + | 0.142198i | ||||
\(26\) | 0.624628 | + | 0.0596448i | 0.122500 | + | 0.0116973i | ||||
\(27\) | −5.42598 | − | 1.59321i | −1.04423 | − | 0.306614i | ||||
\(28\) | −2.68842 | − | 4.49935i | −0.508063 | − | 0.850298i | ||||
\(29\) | −1.15302 | + | 0.338557i | −0.214110 | + | 0.0628684i | −0.387029 | − | 0.922068i | \(-0.626499\pi\) |
0.172918 | + | 0.984936i | \(0.444680\pi\) | |||||||
\(30\) | −0.308498 | + | 0.159042i | −0.0563238 | + | 0.0290369i | ||||
\(31\) | −3.60391 | + | 0.344132i | −0.647282 | + | 0.0618079i | −0.413533 | − | 0.910489i | \(-0.635705\pi\) |
−0.233749 | + | 0.972297i | \(0.575099\pi\) | |||||||
\(32\) | −1.60184 | − | 0.308730i | −0.283169 | − | 0.0545763i | ||||
\(33\) | −0.0938314 | − | 1.96976i | −0.0163340 | − | 0.342892i | ||||
\(34\) | 0.0435654 | + | 0.303004i | 0.00747140 | + | 0.0519647i | ||||
\(35\) | 4.09941 | − | 2.19178i | 0.692926 | − | 0.370479i | ||||
\(36\) | 1.56878 | − | 1.00819i | 0.261463 | − | 0.168032i | ||||
\(37\) | 0.141957 | + | 0.410157i | 0.0233375 | + | 0.0674294i | 0.956068 | − | 0.293145i | \(-0.0947019\pi\) |
−0.932730 | + | 0.360574i | \(0.882581\pi\) | |||||||
\(38\) | 0.275725 | − | 0.0263286i | 0.0447286 | − | 0.00427106i | ||||
\(39\) | −0.311143 | + | 6.53169i | −0.0498227 | + | 1.04591i | ||||
\(40\) | 0.227040 | − | 0.935872i | 0.0358982 | − | 0.147974i | ||||
\(41\) | −2.22449 | − | 2.56720i | −0.347407 | − | 0.400929i | 0.554974 | − | 0.831867i | \(-0.312728\pi\) |
−0.902381 | + | 0.430938i | \(0.858183\pi\) | |||||||
\(42\) | −0.435397 | + | 0.289125i | −0.0671832 | + | 0.0446130i | ||||
\(43\) | −1.18656 | − | 2.59821i | −0.180949 | − | 0.396223i | 0.797322 | − | 0.603554i | \(-0.206249\pi\) |
−0.978271 | + | 0.207332i | \(0.933522\pi\) | |||||||
\(44\) | 2.14022 | + | 1.68309i | 0.322651 | + | 0.253735i | ||||
\(45\) | 0.826949 | + | 1.43232i | 0.123274 | + | 0.213517i | ||||
\(46\) | −0.472195 | − | 0.461531i | −0.0696213 | − | 0.0680490i | ||||
\(47\) | −3.67499 | + | 6.36528i | −0.536053 | + | 0.928471i | 0.463059 | + | 0.886328i | \(0.346752\pi\) |
−0.999112 | + | 0.0421433i | \(0.986581\pi\) | |||||||
\(48\) | 0.793628 | − | 5.51980i | 0.114550 | − | 0.796715i | ||||
\(49\) | 5.77269 | − | 3.95930i | 0.824670 | − | 0.565614i | ||||
\(50\) | −0.252711 | − | 0.0742026i | −0.0357387 | − | 0.0104938i | ||||
\(51\) | −3.13254 | + | 0.603747i | −0.438643 | + | 0.0845415i | ||||
\(52\) | −6.53427 | − | 6.23041i | −0.906140 | − | 0.864003i | ||||
\(53\) | −0.525620 | + | 11.0341i | −0.0721994 | + | 1.51565i | 0.614620 | + | 0.788824i | \(0.289310\pi\) |
−0.686819 | + | 0.726828i | \(0.740994\pi\) | |||||||
\(54\) | −0.451622 | − | 0.634215i | −0.0614580 | − | 0.0863057i | ||||
\(55\) | −1.58136 | + | 1.82499i | −0.213230 | + | 0.246081i | ||||
\(56\) | 0.184840 | − | 1.43833i | 0.0247003 | − | 0.192205i | ||||
\(57\) | 0.410793 | + | 2.85713i | 0.0544109 | + | 0.378436i | ||||
\(58\) | −0.153597 | − | 0.0614911i | −0.0201683 | − | 0.00807417i | ||||
\(59\) | 8.80046 | + | 4.53695i | 1.14572 | + | 0.590661i | 0.923220 | − | 0.384271i | \(-0.125547\pi\) |
0.222502 | + | 0.974932i | \(0.428578\pi\) | |||||||
\(60\) | 4.90385 | + | 0.945139i | 0.633084 | + | 0.122017i | ||||
\(61\) | 4.17419 | + | 5.86183i | 0.534450 | + | 0.750530i | 0.990212 | − | 0.139572i | \(-0.0445726\pi\) |
−0.455762 | + | 0.890102i | \(0.650633\pi\) | |||||||
\(62\) | −0.419316 | − | 0.269478i | −0.0532531 | − | 0.0342237i | ||||
\(63\) | 1.47489 | + | 2.00683i | 0.185818 | + | 0.252837i | ||||
\(64\) | 4.94332 | + | 5.70489i | 0.617914 | + | 0.713111i | ||||
\(65\) | 5.79524 | − | 5.52575i | 0.718811 | − | 0.685385i | ||||
\(66\) | 0.157487 | − | 0.221160i | 0.0193854 | − | 0.0272229i | ||||
\(67\) | −12.8779 | + | 5.15553i | −1.57328 | + | 0.629848i | −0.984014 | − | 0.178089i | \(-0.943008\pi\) |
−0.589269 | + | 0.807937i | \(0.700584\pi\) | |||||||
\(68\) | 2.20235 | − | 3.81459i | 0.267074 | − | 0.462586i | ||||
\(69\) | 4.57020 | − | 5.14420i | 0.550187 | − | 0.619289i | ||||
\(70\) | 0.630189 | + | 0.111689i | 0.0753220 | + | 0.0133494i | ||||
\(71\) | −0.620250 | + | 4.31393i | −0.0736101 | + | 0.511970i | 0.919343 | + | 0.393458i | \(0.128721\pi\) |
−0.992953 | + | 0.118512i | \(0.962188\pi\) | |||||||
\(72\) | 0.513611 | + | 0.0490439i | 0.0605297 | + | 0.00577988i | ||||
\(73\) | −3.73166 | − | 15.3821i | −0.436758 | − | 1.80034i | −0.584593 | − | 0.811327i | \(-0.698746\pi\) |
0.147835 | − | 0.989012i | \(-0.452769\pi\) | |||||||
\(74\) | −0.0195445 | + | 0.0564701i | −0.00227200 | + | 0.00656452i | ||||
\(75\) | 0.647106 | − | 2.66741i | 0.0747214 | − | 0.308006i | ||||
\(76\) | −3.35274 | − | 2.15468i | −0.384586 | − | 0.247158i | ||||
\(77\) | −2.06464 | + | 2.99334i | −0.235287 | + | 0.341123i | ||||
\(78\) | −0.589570 | + | 0.680400i | −0.0667557 | + | 0.0770401i | ||||
\(79\) | −0.590472 | − | 12.3955i | −0.0664333 | − | 1.39461i | −0.748412 | − | 0.663234i | \(-0.769183\pi\) |
0.681979 | − | 0.731372i | \(-0.261120\pi\) | |||||||
\(80\) | −5.36776 | + | 4.22126i | −0.600134 | + | 0.471951i | ||||
\(81\) | 4.15817 | − | 3.27002i | 0.462018 | − | 0.363335i | ||||
\(82\) | −0.0222532 | − | 0.467152i | −0.00245745 | − | 0.0515883i | ||||
\(83\) | −2.88663 | + | 3.33135i | −0.316849 | + | 0.365663i | −0.891725 | − | 0.452577i | \(-0.850505\pi\) |
0.574876 | + | 0.818240i | \(0.305050\pi\) | |||||||
\(84\) | 7.49615 | + | 0.602561i | 0.817898 | + | 0.0657448i | ||||
\(85\) | 3.28638 | + | 2.11203i | 0.356458 | + | 0.229082i | ||||
\(86\) | 0.0927139 | − | 0.382172i | 0.00999759 | − | 0.0412106i | ||||
\(87\) | 0.563932 | − | 1.62937i | 0.0604598 | − | 0.174687i | ||||
\(88\) | 0.177601 | + | 0.732083i | 0.0189324 | + | 0.0780403i | ||||
\(89\) | 8.76530 | + | 0.836984i | 0.929120 | + | 0.0887202i | 0.548630 | − | 0.836065i | \(-0.315150\pi\) |
0.380489 | + | 0.924785i | \(0.375756\pi\) | |||||||
\(90\) | −0.0324062 | + | 0.225390i | −0.00341591 | + | 0.0237582i | ||||
\(91\) | 7.75879 | − | 9.23011i | 0.813342 | − | 0.967579i | ||||
\(92\) | 1.23558 | + | 9.42007i | 0.128818 | + | 0.982110i | ||||
\(93\) | 2.59722 | − | 4.49852i | 0.269319 | − | 0.466475i | ||||
\(94\) | −0.939454 | + | 0.376101i | −0.0968973 | + | 0.0387918i | ||||
\(95\) | 2.05030 | − | 2.87925i | 0.210357 | − | 0.295405i | ||||
\(96\) | 1.69400 | − | 1.61522i | 0.172893 | − | 0.164853i | ||||
\(97\) | −1.15455 | − | 1.33242i | −0.117226 | − | 0.135286i | 0.694103 | − | 0.719876i | \(-0.255801\pi\) |
−0.811329 | + | 0.584589i | \(0.801256\pi\) | |||||||
\(98\) | 0.961706 | + | 0.0628121i | 0.0971470 | + | 0.00634498i | ||||
\(99\) | −1.08838 | − | 0.699457i | −0.109386 | − | 0.0702981i | ||||
\(100\) | 2.19826 | + | 3.08702i | 0.219826 | + | 0.308702i | ||||
\(101\) | 13.3624 | + | 2.57540i | 1.32961 | + | 0.256261i | 0.804084 | − | 0.594516i | \(-0.202656\pi\) |
0.525527 | + | 0.850777i | \(0.323868\pi\) | |||||||
\(102\) | −0.390397 | − | 0.201264i | −0.0386551 | − | 0.0199281i | ||||
\(103\) | −8.92020 | − | 3.57111i | −0.878933 | − | 0.351872i | −0.112084 | − | 0.993699i | \(-0.535753\pi\) |
−0.766850 | + | 0.641827i | \(0.778177\pi\) | |||||||
\(104\) | −0.355500 | − | 2.47256i | −0.0348597 | − | 0.242454i | ||||
\(105\) | −0.850146 | + | 6.61538i | −0.0829658 | + | 0.645595i | ||||
\(106\) | −0.995972 | + | 1.14941i | −0.0967374 | + | 0.111641i | ||||
\(107\) | 0.883571 | + | 1.24080i | 0.0854181 | + | 0.119953i | 0.855074 | − | 0.518506i | \(-0.173512\pi\) |
−0.769656 | + | 0.638459i | \(0.779572\pi\) | |||||||
\(108\) | −0.533055 | + | 11.1902i | −0.0512933 | + | 1.07678i | ||||
\(109\) | 0.859729 | + | 0.819750i | 0.0823471 | + | 0.0785178i | 0.730135 | − | 0.683303i | \(-0.239457\pi\) |
−0.647788 | + | 0.761821i | \(0.724306\pi\) | |||||||
\(110\) | −0.326460 | + | 0.0629200i | −0.0311268 | + | 0.00599919i | ||||
\(111\) | −0.597521 | − | 0.175448i | −0.0567142 | − | 0.0166528i | ||||
\(112\) | −7.33499 | + | 7.20687i | −0.693091 | + | 0.680985i | ||||
\(113\) | 2.32825 | − | 16.1934i | 0.219024 | − | 1.52334i | −0.522629 | − | 0.852560i | \(-0.675049\pi\) |
0.741653 | − | 0.670784i | \(-0.234042\pi\) | |||||||
\(114\) | −0.198706 | + | 0.344169i | −0.0186105 | + | 0.0322344i | ||||
\(115\) | −8.39734 | + | 0.697060i | −0.783056 | + | 0.0650012i | ||||
\(116\) | 1.19031 | + | 2.06167i | 0.110517 | + | 0.191421i | ||||
\(117\) | 3.37222 | + | 2.65194i | 0.311762 | + | 0.245172i | ||||
\(118\) | 0.566285 | + | 1.23999i | 0.0521308 | + | 0.114150i | ||||
\(119\) | 5.26851 | + | 2.61690i | 0.482963 | + | 0.239891i | ||||
\(120\) | 0.904852 | + | 1.04425i | 0.0826013 | + | 0.0953269i | ||||
\(121\) | −2.14801 | + | 8.85420i | −0.195273 | + | 0.804928i | ||||
\(122\) | −0.0471424 | + | 0.989642i | −0.00426808 | + | 0.0895979i | ||||
\(123\) | 4.85182 | − | 0.463292i | 0.437474 | − | 0.0417737i | ||||
\(124\) | 2.34573 | + | 6.77753i | 0.210653 | + | 0.608641i | ||||
\(125\) | −10.2179 | + | 6.56665i | −0.913917 | + | 0.587339i | ||||
\(126\) | −0.0111798 | + | 0.342710i | −0.000995978 | + | 0.0305310i | ||||
\(127\) | −0.924892 | − | 6.43277i | −0.0820709 | − | 0.570816i | −0.988816 | − | 0.149138i | \(-0.952350\pi\) |
0.906746 | − | 0.421678i | \(-0.138559\pi\) | |||||||
\(128\) | 0.204695 | + | 4.29707i | 0.0180926 | + | 0.379811i | ||||
\(129\) | 4.02422 | + | 0.775605i | 0.354313 | + | 0.0682882i | ||||
\(130\) | 1.09746 | − | 0.104795i | 0.0962540 | − | 0.00919114i | ||||
\(131\) | −8.40736 | + | 4.33429i | −0.734554 | + | 0.378689i | −0.784554 | − | 0.620060i | \(-0.787108\pi\) |
0.0500000 | + | 0.998749i | \(0.484078\pi\) | |||||||
\(132\) | −3.74837 | + | 1.10062i | −0.326254 | + | 0.0957968i | ||||
\(133\) | 2.59193 | − | 4.64892i | 0.224749 | − | 0.403113i | ||||
\(134\) | −1.83246 | − | 0.538059i | −0.158301 | − | 0.0464812i | ||||
\(135\) | −9.89086 | − | 0.944462i | −0.851269 | − | 0.0812864i | ||||
\(136\) | 1.13138 | − | 0.452936i | 0.0970150 | − | 0.0388389i | ||||
\(137\) | −10.9056 | − | 18.8890i | −0.931728 | − | 1.61380i | −0.780368 | − | 0.625321i | \(-0.784968\pi\) |
−0.151360 | − | 0.988479i | \(-0.548365\pi\) | |||||||
\(138\) | 0.932413 | − | 0.167764i | 0.0793723 | − | 0.0142810i | ||||
\(139\) | 2.22270 | 0.188527 | 0.0942636 | − | 0.995547i | \(-0.469950\pi\) | ||||
0.0942636 | + | 0.995547i | \(0.469950\pi\) | |||||||
\(140\) | −6.13425 | − | 6.86852i | −0.518439 | − | 0.580496i | ||||
\(141\) | −4.38089 | − | 9.59282i | −0.368938 | − | 0.807861i | ||||
\(142\) | −0.434274 | + | 0.414080i | −0.0364435 | + | 0.0347488i | ||||
\(143\) | −2.04868 | + | 5.91928i | −0.171319 | + | 0.494995i | ||||
\(144\) | −2.64784 | − | 2.52471i | −0.220653 | − | 0.210392i | ||||
\(145\) | −1.87666 | + | 0.967484i | −0.155848 | + | 0.0803451i | ||||
\(146\) | 0.905283 | − | 1.98229i | 0.0749218 | − | 0.164056i | ||||
\(147\) | −0.176967 | + | 10.0421i | −0.0145960 | + | 0.828258i | ||||
\(148\) | 0.723334 | − | 0.464858i | 0.0594577 | − | 0.0382111i | ||||
\(149\) | −15.0068 | − | 6.00783i | −1.22941 | − | 0.492181i | −0.336186 | − | 0.941796i | \(-0.609137\pi\) |
−0.893223 | + | 0.449615i | \(0.851561\pi\) | |||||||
\(150\) | 0.297049 | − | 0.233602i | 0.0242539 | − | 0.0190735i | ||||
\(151\) | 4.48877 | + | 2.31412i | 0.365291 | + | 0.188321i | 0.631093 | − | 0.775707i | \(-0.282606\pi\) |
−0.265802 | + | 0.964028i | \(0.585637\pi\) | |||||||
\(152\) | −0.360647 | − | 1.04202i | −0.0292524 | − | 0.0845192i | ||||
\(153\) | −0.869450 | + | 1.90383i | −0.0702908 | + | 0.153915i | ||||
\(154\) | −0.478198 | + | 0.148233i | −0.0385343 | + | 0.0119449i | ||||
\(155\) | −6.10318 | + | 1.79205i | −0.490219 | + | 0.143941i | ||||
\(156\) | 12.7201 | − | 2.45161i | 1.01843 | − | 0.196286i | ||||
\(157\) | −2.60204 | − | 10.7257i | −0.207665 | − | 0.856007i | −0.976318 | − | 0.216341i | \(-0.930588\pi\) |
0.768653 | − | 0.639666i | \(-0.220927\pi\) | |||||||
\(158\) | 0.991052 | − | 1.39174i | 0.0788439 | − | 0.110721i | ||||
\(159\) | −12.4588 | − | 9.79769i | −0.988045 | − | 0.777007i | ||||
\(160\) | −2.86621 | −0.226594 | ||||||||
\(161\) | −12.4530 | + | 2.43383i | −0.981431 | + | 0.191813i | ||||
\(162\) | 0.728314 | 0.0572218 | ||||||||
\(163\) | 10.5255 | + | 8.27733i | 0.824419 | + | 0.648331i | 0.938553 | − | 0.345135i | \(-0.112167\pi\) |
−0.114134 | + | 0.993465i | \(0.536409\pi\) | |||||||
\(164\) | −3.90343 | + | 5.48160i | −0.304807 | + | 0.428041i | ||||
\(165\) | −0.816852 | − | 3.36711i | −0.0635919 | − | 0.262129i | ||||
\(166\) | −0.595924 | + | 0.114855i | −0.0462527 | + | 0.00891447i | ||||
\(167\) | 15.4057 | − | 4.52352i | 1.19213 | − | 0.350041i | 0.375291 | − | 0.926907i | \(-0.377543\pi\) |
0.816838 | + | 0.576867i | \(0.195725\pi\) | |||||||
\(168\) | 1.52722 | + | 1.41311i | 0.117828 | + | 0.109024i | ||||
\(169\) | 3.22800 | − | 7.06833i | 0.248307 | − | 0.543717i | ||||
\(170\) | 0.175913 | + | 0.508267i | 0.0134919 | + | 0.0389823i | ||||
\(171\) | 1.68322 | + | 0.867759i | 0.128719 | + | 0.0663592i | ||||
\(172\) | −4.44789 | + | 3.49786i | −0.339148 | + | 0.266709i | ||||
\(173\) | 13.8824 | + | 5.55769i | 1.05546 | + | 0.422543i | 0.833504 | − | 0.552513i | \(-0.186331\pi\) |
0.221958 | + | 0.975056i | \(0.428755\pi\) | |||||||
\(174\) | 0.199703 | − | 0.128341i | 0.0151394 | − | 0.00972952i | ||||
\(175\) | −3.93111 | + | 3.18797i | −0.297164 | + | 0.240988i | ||||
\(176\) | 2.21905 | − | 4.85905i | 0.167267 | − | 0.366264i | ||||
\(177\) | −12.6270 | + | 6.50966i | −0.949101 | + | 0.489296i | ||||
\(178\) | 0.877375 | + | 0.836576i | 0.0657620 | + | 0.0627040i | ||||
\(179\) | 4.65088 | − | 13.4378i | 0.347623 | − | 1.00439i | −0.626704 | − | 0.779257i | \(-0.715597\pi\) |
0.974328 | − | 0.225135i | \(-0.0722822\pi\) | |||||||
\(180\) | 2.37127 | − | 2.26101i | 0.176744 | − | 0.168525i | ||||
\(181\) | 2.14675 | + | 4.70073i | 0.159567 | + | 0.349403i | 0.972481 | − | 0.232980i | \(-0.0748477\pi\) |
−0.812915 | + | 0.582383i | \(0.802120\pi\) | |||||||
\(182\) | 1.62523 | − | 0.338580i | 0.120470 | − | 0.0250972i | ||||
\(183\) | −10.3251 | −0.763255 | ||||||||
\(184\) | −1.34240 | + | 2.26002i | −0.0989628 | + | 0.166611i | ||||
\(185\) | 0.381291 | + | 0.660415i | 0.0280331 | + | 0.0485547i | ||||
\(186\) | 0.663939 | − | 0.265801i | 0.0486824 | − | 0.0194895i | ||||
\(187\) | −3.04203 | − | 0.290479i | −0.222456 | − | 0.0212419i | ||||
\(188\) | 13.9708 | + | 4.10221i | 1.01893 | + | 0.299184i | ||||
\(189\) | −14.9602 | + | 0.224264i | −1.08819 | + | 0.0163128i | ||||
\(190\) | 0.466937 | − | 0.137105i | 0.0338752 | − | 0.00994665i | ||||
\(191\) | −13.5359 | + | 6.97825i | −0.979424 | + | 0.504928i | −0.872117 | − | 0.489298i | \(-0.837253\pi\) |
−0.107307 | + | 0.994226i | \(0.534223\pi\) | |||||||
\(192\) | −10.7818 | + | 1.02954i | −0.778111 | + | 0.0743006i | ||||
\(193\) | 17.4108 | + | 3.35565i | 1.25326 | + | 0.241545i | 0.772333 | − | 0.635218i | \(-0.219090\pi\) |
0.480923 | + | 0.876763i | \(0.340302\pi\) | |||||||
\(194\) | −0.0115498 | − | 0.242459i | −0.000829224 | − | 0.0174076i | ||||
\(195\) | 1.63507 | + | 11.3722i | 0.117090 | + | 0.814378i | ||||
\(196\) | −10.3186 | − | 9.26441i | −0.737041 | − | 0.661743i | ||||
\(197\) | −22.2989 | + | 14.3306i | −1.58873 | + | 1.02102i | −0.616394 | + | 0.787438i | \(0.711407\pi\) |
−0.972338 | + | 0.233579i | \(0.924956\pi\) | |||||||
\(198\) | −0.0582585 | − | 0.168327i | −0.00414025 | − | 0.0119625i | ||||
\(199\) | 23.5804 | − | 2.25165i | 1.67157 | − | 0.159616i | 0.784148 | − | 0.620574i | \(-0.213100\pi\) |
0.887422 | + | 0.460958i | \(0.152494\pi\) | |||||||
\(200\) | −0.0498909 | + | 1.04734i | −0.00352782 | + | 0.0740580i | ||||
\(201\) | 4.69231 | − | 19.3419i | 0.330970 | − | 1.36428i | ||||
\(202\) | 1.22694 | + | 1.41596i | 0.0863271 | + | 0.0996268i | ||||
\(203\) | −2.64861 | + | 1.75880i | −0.185896 | + | 0.123444i | ||||
\(204\) | 2.62538 | + | 5.74879i | 0.183814 | + | 0.402496i | ||||
\(205\) | −4.69140 | − | 3.68936i | −0.327661 | − | 0.257676i | ||||
\(206\) | −0.661444 | − | 1.14565i | −0.0460850 | − | 0.0798215i | ||||
\(207\) | −1.00993 | − | 4.40002i | −0.0701947 | − | 0.305823i | ||||
\(208\) | −8.85659 | + | 15.3401i | −0.614094 | + | 1.06364i | ||||
\(209\) | −0.393497 | + | 2.73683i | −0.0272188 | + | 0.189311i | ||||
\(210\) | −0.655025 | + | 0.643584i | −0.0452011 | + | 0.0444115i | ||||
\(211\) | 18.2447 | + | 5.35712i | 1.25602 | + | 0.368800i | 0.841010 | − | 0.541019i | \(-0.181961\pi\) |
0.415006 | + | 0.909819i | \(0.363779\pi\) | |||||||
\(212\) | 21.4884 | − | 4.14155i | 1.47583 | − | 0.284443i | ||||
\(213\) | −4.52574 | − | 4.31528i | −0.310098 | − | 0.295678i | ||||
\(214\) | −0.00997888 | + | 0.209482i | −0.000682142 | + | 0.0143199i | ||||
\(215\) | −2.91103 | − | 4.08797i | −0.198531 | − | 0.278798i | ||||
\(216\) | −2.02979 | + | 2.34250i | −0.138110 | + | 0.159387i | ||||
\(217\) | −8.83795 | + | 3.69283i | −0.599959 | + | 0.250686i | ||||
\(218\) | 0.0232756 | + | 0.161886i | 0.00157643 | + | 0.0109643i | ||||
\(219\) | 21.0837 | + | 8.44066i | 1.42471 | + | 0.570367i | ||||
\(220\) | 4.25204 | + | 2.19208i | 0.286672 | + | 0.147790i | ||||
\(221\) | 9.95007 | + | 1.91772i | 0.669314 | + | 0.129000i | ||||
\(222\) | −0.0497337 | − | 0.0698412i | −0.00333791 | − | 0.00468744i | ||||
\(223\) | 14.3926 | + | 9.24955i | 0.963799 | + | 0.619396i | 0.925047 | − | 0.379853i | \(-0.124025\pi\) |
0.0387519 | + | 0.999249i | \(0.487662\pi\) | |||||||
\(224\) | −4.28990 | + | 0.474624i | −0.286631 | + | 0.0317121i | ||||
\(225\) | −1.17924 | − | 1.36092i | −0.0786160 | − | 0.0907277i | ||||
\(226\) | 1.63015 | − | 1.55435i | 0.108436 | − | 0.103394i | ||||
\(227\) | −1.47179 | + | 2.06684i | −0.0976863 | + | 0.137181i | −0.860526 | − | 0.509406i | \(-0.829865\pi\) |
0.762840 | + | 0.646587i | \(0.223804\pi\) | |||||||
\(228\) | 5.30869 | − | 2.12528i | 0.351576 | − | 0.140750i | ||||
\(229\) | −4.00850 | + | 6.94293i | −0.264889 | + | 0.458802i | −0.967535 | − | 0.252738i | \(-0.918669\pi\) |
0.702645 | + | 0.711540i | \(0.252002\pi\) | |||||||
\(230\) | −0.968112 | − | 0.639240i | −0.0638354 | − | 0.0421502i | ||||
\(231\) | −1.78016 | − | 4.90433i | −0.117126 | − | 0.322681i | ||||
\(232\) | −0.0937369 | + | 0.651954i | −0.00615413 | + | 0.0428029i | ||||
\(233\) | 10.6816 | + | 1.01997i | 0.699773 | + | 0.0668203i | 0.438878 | − | 0.898547i | \(-0.355376\pi\) |
0.260896 | + | 0.965367i | \(0.415982\pi\) | |||||||
\(234\) | 0.139252 | + | 0.574003i | 0.00910317 | + | 0.0375238i | ||||
\(235\) | −4.22370 | + | 12.2036i | −0.275524 | + | 0.796074i | ||||
\(236\) | 4.62430 | − | 19.0616i | 0.301017 | − | 1.24081i | ||||
\(237\) | 14.9788 | + | 9.62631i | 0.972980 | + | 0.625296i | ||||
\(238\) | 0.347456 | + | 0.731600i | 0.0225223 | + | 0.0474226i | ||||
\(239\) | 17.1318 | − | 19.7712i | 1.10817 | − | 1.27889i | 0.151259 | − | 0.988494i | \(-0.451667\pi\) |
0.956906 | − | 0.290397i | \(-0.0937874\pi\) | |||||||
\(240\) | −0.466205 | − | 9.78686i | −0.0300934 | − | 0.631739i | ||||
\(241\) | 8.86897 | − | 6.97463i | 0.571300 | − | 0.449276i | −0.290248 | − | 0.956952i | \(-0.593738\pi\) |
0.861548 | + | 0.507676i | \(0.169495\pi\) | |||||||
\(242\) | −0.986025 | + | 0.775419i | −0.0633841 | + | 0.0498458i | ||||
\(243\) | −0.446085 | − | 9.36448i | −0.0286164 | − | 0.600732i | ||||
\(244\) | 9.33565 | − | 10.7739i | 0.597654 | − | 0.689729i | ||||
\(245\) | 8.64274 | − | 8.75022i | 0.552165 | − | 0.559031i | ||||
\(246\) | 0.564509 | + | 0.362788i | 0.0359918 | + | 0.0231305i | ||||
\(247\) | 2.16158 | − | 8.91015i | 0.137538 | − | 0.566939i | ||||
\(248\) | −0.649007 | + | 1.87518i | −0.0412120 | + | 0.119074i | ||||
\(249\) | −1.49109 | − | 6.14636i | −0.0944941 | − | 0.389510i | ||||
\(250\) | −1.66469 | − | 0.158958i | −0.105284 | − | 0.0100534i | ||||
\(251\) | −3.44149 | + | 23.9361i | −0.217225 | + | 1.51083i | 0.530991 | + | 0.847377i | \(0.321820\pi\) |
−0.748216 | + | 0.663455i | \(0.769089\pi\) | |||||||
\(252\) | 3.17471 | − | 3.77674i | 0.199988 | − | 0.237912i | ||||
\(253\) | 5.58872 | − | 3.49465i | 0.351360 | − | 0.219707i | ||||
\(254\) | 0.447383 | − | 0.774891i | 0.0280713 | − | 0.0486210i | ||||
\(255\) | −5.20362 | + | 2.08321i | −0.325863 | + | 0.130456i | ||||
\(256\) | 8.41373 | − | 11.8154i | 0.525858 | − | 0.738465i | ||||
\(257\) | 5.76088 | − | 5.49299i | 0.359354 | − | 0.342643i | −0.488798 | − | 0.872397i | \(-0.662564\pi\) |
0.848151 | + | 0.529754i | \(0.177716\pi\) | |||||||
\(258\) | 0.369504 | + | 0.426431i | 0.0230043 | + | 0.0265484i | ||||
\(259\) | 0.680043 | + | 0.925313i | 0.0422558 | + | 0.0574961i | ||||
\(260\) | −13.3449 | − | 8.57621i | −0.827613 | − | 0.531874i | ||||
\(261\) | −0.656153 | − | 0.921438i | −0.0406148 | − | 0.0570356i | ||||
\(262\) | −1.27875 | − | 0.246460i | −0.0790017 | − | 0.0152263i | ||||
\(263\) | −27.6636 | − | 14.2616i | −1.70581 | − | 0.879407i | −0.981873 | − | 0.189542i | \(-0.939300\pi\) |
−0.723938 | − | 0.689865i | \(-0.757670\pi\) | |||||||
\(264\) | −1.00344 | − | 0.401718i | −0.0617576 | − | 0.0247240i | ||||
\(265\) | 2.76216 | + | 19.2112i | 0.169678 | + | 1.18014i | ||||
\(266\) | 0.676167 | − | 0.282528i | 0.0414585 | − | 0.0173229i | ||||
\(267\) | −8.27333 | + | 9.54793i | −0.506320 | + | 0.584324i | ||||
\(268\) | 15.9400 | + | 22.3846i | 0.973692 | + | 1.36736i | ||||
\(269\) | 0.741219 | − | 15.5601i | 0.0451929 | − | 0.948716i | −0.856449 | − | 0.516232i | \(-0.827334\pi\) |
0.901642 | − | 0.432484i | \(-0.142363\pi\) | |||||||
\(270\) | −0.990040 | − | 0.944001i | −0.0602519 | − | 0.0574501i | ||||
\(271\) | −25.4453 | + | 4.90418i | −1.54569 | + | 0.297907i | −0.889588 | − | 0.456764i | \(-0.849008\pi\) |
−0.656103 | + | 0.754672i | \(0.727796\pi\) | |||||||
\(272\) | −8.29157 | − | 2.43463i | −0.502751 | − | 0.147621i | ||||
\(273\) | 4.33038 | + | 16.7501i | 0.262086 | + | 1.01376i | ||||
\(274\) | 0.427364 | − | 2.97238i | 0.0258180 | − | 0.179568i | ||||
\(275\) | 1.31461 | − | 2.27697i | 0.0792738 | − | 0.137306i | ||||
\(276\) | −12.0381 | − | 6.39595i | −0.724611 | − | 0.384991i | ||||
\(277\) | 2.01931 | + | 3.49754i | 0.121328 | + | 0.210147i | 0.920292 | − | 0.391233i | \(-0.127951\pi\) |
−0.798963 | + | 0.601380i | \(0.794618\pi\) | |||||||
\(278\) | 0.240548 | + | 0.189169i | 0.0144271 | + | 0.0113456i | ||||
\(279\) | −1.41569 | − | 3.09992i | −0.0847550 | − | 0.185587i | ||||
\(280\) | −0.159368 | − | 2.54292i | −0.00952407 | − | 0.151968i | ||||
\(281\) | 11.5645 | + | 13.3461i | 0.689877 | + | 0.796161i | 0.987348 | − | 0.158570i | \(-0.0506884\pi\) |
−0.297470 | + | 0.954731i | \(0.596143\pi\) | |||||||
\(282\) | 0.342308 | − | 1.41101i | 0.0203842 | − | 0.0840247i | ||||
\(283\) | 0.584895 | − | 12.2785i | 0.0347684 | − | 0.729879i | −0.912430 | − | 0.409232i | \(-0.865797\pi\) |
0.947199 | − | 0.320647i | \(-0.103900\pi\) | |||||||
\(284\) | 8.59488 | − | 0.820711i | 0.510012 | − | 0.0487003i | ||||
\(285\) | 1.65875 | + | 4.79263i | 0.0982556 | + | 0.283891i | ||||
\(286\) | −0.725491 | + | 0.466245i | −0.0428992 | + | 0.0275696i | ||||
\(287\) | −7.63260 | − | 4.74504i | −0.450538 | − | 0.280091i | ||||
\(288\) | −0.218539 | − | 1.51998i | −0.0128776 | − | 0.0895654i | ||||
\(289\) | −0.573666 | − | 12.0427i | −0.0337450 | − | 0.708396i | ||||
\(290\) | −0.285438 | − | 0.0550137i | −0.0167615 | − | 0.00323052i | ||||
\(291\) | 2.51817 | − | 0.240456i | 0.147618 | − | 0.0140958i | ||||
\(292\) | −27.8708 | + | 14.3684i | −1.63101 | + | 0.840846i | ||||
\(293\) | 0.979238 | − | 0.287530i | 0.0572077 | − | 0.0167977i | −0.253003 | − | 0.967465i | \(-0.581418\pi\) |
0.310211 | + | 0.950668i | \(0.399600\pi\) | |||||||
\(294\) | −0.873812 | + | 1.07173i | −0.0509617 | + | 0.0625044i | ||||
\(295\) | 16.6915 | + | 4.90106i | 0.971815 | + | 0.285351i | ||||
\(296\) | 0.236817 | + | 0.0226133i | 0.0137647 | + | 0.00131437i | ||||
\(297\) | 7.21554 | − | 2.88867i | 0.418688 | − | 0.167617i | ||||
\(298\) | −1.11278 | − | 1.92739i | −0.0644614 | − | 0.111650i | ||||
\(299\) | −19.5496 | + | 9.77412i | −1.13059 | + | 0.565252i | ||||
\(300\) | −5.43753 | −0.313936 | ||||||||
\(301\) | −5.03392 | − | 5.63648i | −0.290150 | − | 0.324881i | ||||
\(302\) | 0.288840 | + | 0.632471i | 0.0166209 | + | 0.0363946i | ||||
\(303\) | −14.1312 | + | 13.4740i | −0.811814 | + | 0.774063i | ||||
\(304\) | −2.55735 | + | 7.38897i | −0.146674 | + | 0.423786i | ||||
\(305\) | 9.15059 | + | 8.72507i | 0.523961 | + | 0.499596i | ||||
\(306\) | −0.256125 | + | 0.132042i | −0.0146417 | + | 0.00754832i | ||||
\(307\) | 2.92437 | − | 6.40349i | 0.166903 | − | 0.365466i | −0.807637 | − | 0.589680i | \(-0.799254\pi\) |
0.974540 | + | 0.224213i | \(0.0719813\pi\) | |||||||
\(308\) | 6.72707 | + | 2.57680i | 0.383310 | + | 0.146827i | ||||
\(309\) | 11.5978 | − | 7.45345i | 0.659775 | − | 0.424012i | ||||
\(310\) | −0.813023 | − | 0.325485i | −0.0461766 | − | 0.0184863i | ||||
\(311\) | 11.1591 | − | 8.77558i | 0.632772 | − | 0.497617i | −0.249489 | − | 0.968378i | \(-0.580263\pi\) |
0.882261 | + | 0.470760i | \(0.156020\pi\) | |||||||
\(312\) | 3.18570 | + | 1.64234i | 0.180355 | + | 0.0929793i | ||||
\(313\) | 2.98680 | + | 8.62978i | 0.168824 | + | 0.487784i | 0.997398 | − | 0.0720956i | \(-0.0229687\pi\) |
−0.828574 | + | 0.559879i | \(0.810847\pi\) | |||||||
\(314\) | 0.631242 | − | 1.38223i | 0.0356231 | − | 0.0780036i | ||||
\(315\) | 3.21182 | + | 2.97184i | 0.180966 | + | 0.167444i | ||||
\(316\) | −23.5881 | + | 6.92610i | −1.32694 | + | 0.389623i | ||||
\(317\) | −1.30156 | + | 0.250854i | −0.0731027 | + | 0.0140894i | −0.225671 | − | 0.974203i | \(-0.572458\pi\) |
0.152569 | + | 0.988293i | \(0.451245\pi\) | |||||||
\(318\) | −0.514470 | − | 2.12068i | −0.0288501 | − | 0.118922i | ||||
\(319\) | 0.958027 | − | 1.34536i | 0.0536392 | − | 0.0753258i | ||||
\(320\) | 10.4253 | + | 8.19858i | 0.582794 | + | 0.458314i | ||||
\(321\) | −2.18557 | −0.121987 | ||||||||
\(322\) | −1.55484 | − | 0.796446i | −0.0866478 | − | 0.0443842i | ||||
\(323\) | 4.47303 | 0.248886 | ||||||||
\(324\) | −8.23751 | − | 6.47805i | −0.457640 | − | 0.359892i | ||||
\(325\) | −5.05717 | + | 7.10181i | −0.280522 | + | 0.393937i | ||||
\(326\) | 0.434637 | + | 1.79160i | 0.0240723 | + | 0.0992275i | ||||
\(327\) | −1.67362 | + | 0.322564i | −0.0925513 | + | 0.0178378i | ||||
\(328\) | −1.78644 | + | 0.524547i | −0.0986398 | + | 0.0289633i | ||||
\(329\) | −4.30085 | + | 18.9647i | −0.237113 | + | 1.04556i | ||||
\(330\) | 0.198165 | − | 0.433920i | 0.0109086 | − | 0.0238865i | ||||
\(331\) | −2.94088 | − | 8.49711i | −0.161645 | − | 0.467043i | 0.834871 | − | 0.550446i | \(-0.185542\pi\) |
−0.996516 | + | 0.0834029i | \(0.973421\pi\) | |||||||
\(332\) | 7.76172 | + | 4.00144i | 0.425979 | + | 0.219608i | ||||
\(333\) | −0.321151 | + | 0.252556i | −0.0175990 | + | 0.0138400i | ||||
\(334\) | 2.05224 | + | 0.821594i | 0.112294 | + | 0.0449556i | ||||
\(335\) | −20.5031 | + | 13.1766i | −1.12021 | + | 0.719912i | ||||
\(336\) | −2.31841 | − | 14.5709i | −0.126479 | − | 0.794908i | ||||
\(337\) | −0.275284 | + | 0.602788i | −0.0149957 | + | 0.0328359i | −0.916982 | − | 0.398929i | \(-0.869382\pi\) |
0.901986 | + | 0.431765i | \(0.142109\pi\) | |||||||
\(338\) | 0.950913 | − | 0.490230i | 0.0517229 | − | 0.0266650i | ||||
\(339\) | 16.9884 | + | 16.1984i | 0.922685 | + | 0.879778i | ||||
\(340\) | 2.53118 | − | 7.31337i | 0.137273 | − | 0.396623i | ||||
\(341\) | 3.60111 | − | 3.43366i | 0.195011 | − | 0.185943i | ||||
\(342\) | 0.108310 | + | 0.237166i | 0.00585675 | + | 0.0128245i | ||||
\(343\) | 11.4867 | − | 14.5277i | 0.620225 | − | 0.784424i | ||||
\(344\) | −1.56557 | −0.0844101 | ||||||||
\(345\) | 6.17416 | − | 10.3946i | 0.332406 | − | 0.559627i | ||||
\(346\) | 1.02940 | + | 1.78297i | 0.0553409 | + | 0.0958533i | ||||
\(347\) | 19.2477 | − | 7.70562i | 1.03327 | − | 0.413659i | 0.207841 | − | 0.978163i | \(-0.433356\pi\) |
0.825431 | + | 0.564503i | \(0.190932\pi\) | |||||||
\(348\) | −3.40026 | − | 0.324685i | −0.182273 | − | 0.0174049i | ||||
\(349\) | −4.79891 | − | 1.40909i | −0.256880 | − | 0.0754266i | 0.150757 | − | 0.988571i | \(-0.451829\pi\) |
−0.407637 | + | 0.913144i | \(0.633647\pi\) | |||||||
\(350\) | −0.696759 | + | 0.0104449i | −0.0372433 | + | 0.000558304i | ||||
\(351\) | −24.7287 | + | 7.26101i | −1.31992 | + | 0.387564i | ||||
\(352\) | 1.99285 | − | 1.02738i | 0.106219 | − | 0.0547598i | ||||
\(353\) | −33.9084 | + | 3.23786i | −1.80476 | + | 0.172334i | −0.942518 | − | 0.334156i | \(-0.891549\pi\) |
−0.862246 | + | 0.506490i | \(0.830943\pi\) | |||||||
\(354\) | −1.92055 | − | 0.370157i | −0.102076 | − | 0.0196736i | ||||
\(355\) | 0.364357 | + | 7.64880i | 0.0193381 | + | 0.405956i | ||||
\(356\) | −2.48246 | − | 17.2659i | −0.131570 | − | 0.915090i | ||||
\(357\) | −7.44335 | + | 3.97965i | −0.393944 | + | 0.210625i | ||||
\(358\) | 1.64700 | − | 1.05846i | 0.0870466 | − | 0.0559414i | ||||
\(359\) | 0.932820 | + | 2.69521i | 0.0492323 | + | 0.142248i | 0.966937 | − | 0.255017i | \(-0.0820809\pi\) |
−0.917704 | + | 0.397264i | \(0.869960\pi\) | |||||||
\(360\) | 0.902409 | − | 0.0861696i | 0.0475611 | − | 0.00454154i | ||||
\(361\) | −0.711481 | + | 14.9358i | −0.0374464 | + | 0.786096i | ||||
\(362\) | −0.167740 | + | 0.691434i | −0.00881622 | + | 0.0363410i | ||||
\(363\) | −8.56072 | − | 9.87960i | −0.449321 | − | 0.518544i | ||||
\(364\) | −21.3936 | − | 10.6263i | −1.12133 | − | 0.556970i | ||||
\(365\) | −11.5527 | − | 25.2969i | −0.604698 | − | 1.32410i | ||||
\(366\) | −1.11742 | − | 0.878748i | −0.0584084 | − | 0.0459329i | ||||
\(367\) | −0.996128 | − | 1.72534i | −0.0519974 | − | 0.0900622i | 0.838855 | − | 0.544355i | \(-0.183225\pi\) |
−0.890853 | + | 0.454293i | \(0.849892\pi\) | |||||||
\(368\) | 17.3888 | − | 6.71289i | 0.906456 | − | 0.349933i | ||||
\(369\) | 1.59879 | − | 2.76918i | 0.0832297 | − | 0.144158i | ||||
\(370\) | −0.0149419 | + | 0.103923i | −0.000776792 | + | 0.00540270i | ||||
\(371\) | 7.31539 | + | 28.2963i | 0.379796 | + | 1.46907i | ||||
\(372\) | −9.87359 | − | 2.89915i | −0.511922 | − | 0.150314i | ||||
\(373\) | 11.5713 | − | 2.23018i | 0.599137 | − | 0.115474i | 0.119340 | − | 0.992854i | \(-0.461922\pi\) |
0.479797 | + | 0.877379i | \(0.340710\pi\) | |||||||
\(374\) | −0.304497 | − | 0.290337i | −0.0157452 | − | 0.0150130i | ||||
\(375\) | 0.829222 | − | 17.4075i | 0.0428208 | − | 0.898920i | ||||
\(376\) | 2.33681 | + | 3.28159i | 0.120512 | + | 0.169235i | ||||
\(377\) | −3.58647 | + | 4.13901i | −0.184713 | + | 0.213170i | ||||
\(378\) | −1.63812 | − | 1.24895i | −0.0842560 | − | 0.0642393i | ||||
\(379\) | 2.17003 | + | 15.0929i | 0.111467 | + | 0.775270i | 0.966495 | + | 0.256687i | \(0.0826310\pi\) |
−0.855028 | + | 0.518583i | \(0.826460\pi\) | |||||||
\(380\) | −6.50073 | − | 2.60250i | −0.333480 | − | 0.133505i | ||||
\(381\) | 8.28812 | + | 4.27283i | 0.424613 | + | 0.218903i | ||||
\(382\) | −2.05880 | − | 0.396802i | −0.105338 | − | 0.0203021i | ||||
\(383\) | −14.8275 | − | 20.8224i | −0.757652 | − | 1.06397i | −0.995692 | − | 0.0927177i | \(-0.970445\pi\) |
0.238041 | − | 0.971255i | \(-0.423495\pi\) | |||||||
\(384\) | −5.19260 | − | 3.33708i | −0.264984 | − | 0.170295i | ||||
\(385\) | −2.56666 | + | 5.85074i | −0.130809 | + | 0.298181i | ||||
\(386\) | 1.59866 | + | 1.84495i | 0.0813696 | + | 0.0939056i | ||||
\(387\) | 1.94593 | − | 1.85544i | 0.0989170 | − | 0.0943172i | ||||
\(388\) | −2.02594 | + | 2.84504i | −0.102852 | + | 0.144435i | ||||
\(389\) | −28.4044 | + | 11.3714i | −1.44016 | + | 0.576553i | −0.954664 | − | 0.297685i | \(-0.903785\pi\) |
−0.485497 | + | 0.874239i | \(0.661361\pi\) | |||||||
\(390\) | −0.790907 | + | 1.36989i | −0.0400491 | + | 0.0693671i | ||||
\(391\) | −6.88259 | − | 8.14452i | −0.348068 | − | 0.411886i | ||||
\(392\) | −0.659616 | − | 3.77963i | −0.0333157 | − | 0.190900i | ||||
\(393\) | 1.93144 | − | 13.4335i | 0.0974285 | − | 0.677630i | ||||
\(394\) | −3.63291 | − | 0.346901i | −0.183023 | − | 0.0174766i | ||||
\(395\) | −5.14037 | − | 21.1889i | −0.258640 | − | 1.06613i | ||||
\(396\) | −0.838271 | + | 2.42203i | −0.0421247 | + | 0.121711i | ||||
\(397\) | −2.41944 | + | 9.97306i | −0.121428 | + | 0.500534i | 0.878320 | + | 0.478074i | \(0.158665\pi\) |
−0.999748 | + | 0.0224597i | \(0.992850\pi\) | |||||||
\(398\) | 2.74358 | + | 1.76319i | 0.137523 | + | 0.0883808i | ||||
\(399\) | 3.27629 | + | 6.89851i | 0.164020 | + | 0.345358i | ||||
\(400\) | 4.86895 | − | 5.61907i | 0.243447 | − | 0.280953i | ||||
\(401\) | 0.628482 | + | 13.1935i | 0.0313849 | + | 0.658850i | 0.958675 | + | 0.284505i | \(0.0918292\pi\) |
−0.927290 | + | 0.374345i | \(0.877868\pi\) | |||||||
\(402\) | 2.15397 | − | 1.69390i | 0.107430 | − | 0.0844839i | ||||
\(403\) | −12.9694 | + | 10.1993i | −0.646054 | + | 0.508062i | ||||
\(404\) | −1.28275 | − | 26.9282i | −0.0638191 | − | 1.33973i | ||||
\(405\) | 6.08650 | − | 7.02420i | 0.302441 | − | 0.349035i | ||||
\(406\) | −0.436329 | − | 0.0350733i | −0.0216546 | − | 0.00174066i | ||||
\(407\) | −0.501831 | − | 0.322507i | −0.0248748 | − | 0.0159861i | ||||
\(408\) | −0.412240 | + | 1.69928i | −0.0204089 | + | 0.0841267i | ||||
\(409\) | −4.73305 | + | 13.6752i | −0.234034 | + | 0.676197i | 0.765432 | + | 0.643517i | \(0.222525\pi\) |
−0.999466 | + | 0.0326801i | \(0.989596\pi\) | |||||||
\(410\) | −0.193726 | − | 0.798548i | −0.00956743 | − | 0.0394375i | ||||
\(411\) | 31.1532 | + | 2.97477i | 1.53667 | + | 0.146734i | ||||
\(412\) | −2.70894 | + | 18.8411i | −0.133460 | + | 0.928233i | ||||
\(413\) | 25.7939 | + | 4.57149i | 1.26924 | + | 0.224948i | ||||
\(414\) | 0.265178 | − | 0.562137i | 0.0130328 | − | 0.0276275i | ||||
\(415\) | −3.87241 | + | 6.70720i | −0.190089 | + | 0.329244i | ||||
\(416\) | −6.90214 | + | 2.76320i | −0.338405 | + | 0.135477i | ||||
\(417\) | −1.84989 | + | 2.59781i | −0.0905895 | + | 0.127215i | ||||
\(418\) | −0.275511 | + | 0.262699i | −0.0134757 | + | 0.0128491i | ||||
\(419\) | −7.93692 | − | 9.15970i | −0.387744 | − | 0.447481i | 0.527999 | − | 0.849245i | \(-0.322943\pi\) |
−0.915743 | + | 0.401764i | \(0.868397\pi\) | |||||||
\(420\) | 13.1330 | − | 1.45300i | 0.640825 | − | 0.0708993i | ||||
\(421\) | 0.843782 | + | 0.542266i | 0.0411234 | + | 0.0264284i | 0.561041 | − | 0.827788i | \(-0.310401\pi\) |
−0.519918 | + | 0.854216i | \(0.674037\pi\) | |||||||
\(422\) | 1.51857 | + | 2.13253i | 0.0739227 | + | 0.103810i | ||||
\(423\) | −6.79370 | − | 1.30938i | −0.330321 | − | 0.0636642i | ||||
\(424\) | 5.38167 | + | 2.77444i | 0.261357 | + | 0.134739i | ||||
\(425\) | −3.94872 | − | 1.58083i | −0.191541 | − | 0.0766814i | ||||
\(426\) | −0.122526 | − | 0.852189i | −0.00593642 | − | 0.0412887i | ||||
\(427\) | 15.1406 | + | 11.5437i | 0.732705 | + | 0.558637i | ||||
\(428\) | 1.97612 | − | 2.28057i | 0.0955196 | − | 0.110235i | ||||
\(429\) | −5.21316 | − | 7.32086i | −0.251694 | − | 0.353454i | ||||
\(430\) | 0.0328766 | − | 0.690165i | 0.00158545 | − | 0.0332827i | ||||
\(431\) | 9.23945 | + | 8.80979i | 0.445048 | + | 0.424353i | 0.879175 | − | 0.476499i | \(-0.158094\pi\) |
−0.434127 | + | 0.900852i | \(0.642943\pi\) | |||||||
\(432\) | 21.5819 | − | 4.15956i | 1.03836 | − | 0.200127i | ||||
\(433\) | 5.63116 | + | 1.65346i | 0.270616 | + | 0.0794600i | 0.414225 | − | 0.910174i | \(-0.364053\pi\) |
−0.143609 | + | 0.989634i | \(0.545871\pi\) | |||||||
\(434\) | −1.27076 | − | 0.352527i | −0.0609984 | − | 0.0169219i | ||||
\(435\) | 0.431129 | − | 2.99857i | 0.0206711 | − | 0.143770i | ||||
\(436\) | 1.17665 | − | 2.03802i | 0.0563513 | − | 0.0976033i | ||||
\(437\) | −7.65719 | + | 5.86973i | −0.366293 | + | 0.280787i | ||||
\(438\) | 1.56339 | + | 2.70786i | 0.0747015 | + | 0.129387i | ||||
\(439\) | 13.5801 | + | 10.6795i | 0.648143 | + | 0.509705i | 0.887251 | − | 0.461288i | \(-0.152612\pi\) |
−0.239107 | + | 0.970993i | \(0.576855\pi\) | |||||||
\(440\) | 0.549831 | + | 1.20396i | 0.0262122 | + | 0.0573967i | ||||
\(441\) | 5.29929 | + | 3.91614i | 0.252347 | + | 0.186483i | ||||
\(442\) | 0.913617 | + | 1.05437i | 0.0434563 | + | 0.0501513i | ||||
\(443\) | −1.16829 | + | 4.81576i | −0.0555071 | + | 0.228804i | −0.992808 | − | 0.119718i | \(-0.961801\pi\) |
0.937301 | + | 0.348521i | \(0.113316\pi\) | |||||||
\(444\) | −0.0587013 | + | 1.23229i | −0.00278584 | + | 0.0584820i | ||||
\(445\) | 15.4005 | − | 1.47057i | 0.730055 | − | 0.0697118i | ||||
\(446\) | 0.770404 | + | 2.22594i | 0.0364797 | + | 0.105401i | ||||
\(447\) | 19.5115 | − | 12.5393i | 0.922861 | − | 0.593087i | ||||
\(448\) | 16.9614 | + | 10.5446i | 0.801349 | + | 0.498183i | ||||
\(449\) | −2.46863 | − | 17.1697i | −0.116502 | − | 0.810289i | −0.961359 | − | 0.275297i | \(-0.911224\pi\) |
0.844857 | − | 0.534992i | \(-0.179685\pi\) | |||||||
\(450\) | −0.0117968 | − | 0.247645i | −0.000556106 | − | 0.0116741i | ||||
\(451\) | 4.58431 | + | 0.883554i | 0.215867 | + | 0.0416049i | ||||
\(452\) | −32.2629 | + | 3.08073i | −1.51752 | + | 0.144906i | ||||
\(453\) | −6.44053 | + | 3.32032i | −0.302603 | + | 0.156002i | ||||
\(454\) | −0.335186 | + | 0.0984196i | −0.0157311 | + | 0.00461906i | ||||
\(455\) | 10.3166 | − | 18.5040i | 0.483651 | − | 0.867482i | ||||
\(456\) | 1.51803 | + | 0.445734i | 0.0710883 | + | 0.0208734i | ||||
\(457\) | −31.4148 | − | 2.99975i | −1.46952 | − | 0.140323i | −0.670629 | − | 0.741793i | \(-0.733976\pi\) |
−0.798895 | + | 0.601471i | \(0.794582\pi\) | |||||||
\(458\) | −1.02471 | + | 0.410232i | −0.0478816 | + | 0.0191689i | ||||
\(459\) | −6.28679 | − | 10.8890i | −0.293442 | − | 0.508256i | ||||
\(460\) | 5.26395 | + | 15.8410i | 0.245433 | + | 0.738591i | ||||
\(461\) | 14.2646 | 0.664369 | 0.332185 | − | 0.943214i | \(-0.392214\pi\) | ||||
0.332185 | + | 0.943214i | \(0.392214\pi\) | |||||||
\(462\) | 0.224742 | − | 0.682268i | 0.0104559 | − | 0.0317420i | ||||
\(463\) | 9.07827 | + | 19.8786i | 0.421903 | + | 0.923838i | 0.994572 | + | 0.104052i | \(0.0331807\pi\) |
−0.572669 | + | 0.819787i | \(0.694092\pi\) | |||||||
\(464\) | 3.38023 | − | 3.22304i | 0.156923 | − | 0.149626i | ||||
\(465\) | 2.98501 | − | 8.62462i | 0.138427 | − | 0.399957i | ||||
\(466\) | 1.06919 | + | 1.01947i | 0.0495292 | + | 0.0472260i | ||||
\(467\) | 33.4891 | − | 17.2649i | 1.54969 | − | 0.798922i | 0.550342 | − | 0.834939i | \(-0.314497\pi\) |
0.999351 | + | 0.0360172i | \(0.0114671\pi\) | |||||||
\(468\) | 3.53053 | − | 7.73078i | 0.163199 | − | 0.357356i | ||||
\(469\) | −28.5053 | + | 23.1167i | −1.31625 | + | 1.06743i | ||||
\(470\) | −1.49572 | + | 0.961243i | −0.0689925 | + | 0.0443388i | ||||
\(471\) | 14.7014 | + | 5.88556i | 0.677406 | + | 0.271192i | ||||
\(472\) | 4.26581 | − | 3.35467i | 0.196350 | − | 0.154411i | ||||
\(473\) | 3.48933 | + | 1.79887i | 0.160439 | + | 0.0827123i | ||||
\(474\) | 0.801785 | + | 2.31661i | 0.0368272 | + | 0.106405i | ||||
\(475\) | −1.59873 | + | 3.50073i | −0.0733547 | + | 0.160624i | ||||
\(476\) | 2.57741 | − | 11.3652i | 0.118136 | − | 0.520921i | ||||
\(477\) | −9.97726 | + | 2.92959i | −0.456827 | + | 0.134137i | ||||
\(478\) | 3.53674 | − | 0.681651i | 0.161767 | − | 0.0311780i | ||||
\(479\) | 1.42915 | + | 5.89103i | 0.0652995 | + | 0.269168i | 0.995097 | − | 0.0989031i | \(-0.0315334\pi\) |
−0.929798 | + | 0.368071i | \(0.880018\pi\) | |||||||
\(480\) | 2.38547 | − | 3.34992i | 0.108881 | − | 0.152902i | ||||
\(481\) | 1.55487 | + | 1.22276i | 0.0708959 | + | 0.0557531i | ||||
\(482\) | 1.55342 | 0.0707565 | ||||||||
\(483\) | 7.51967 | − | 16.5801i | 0.342157 | − | 0.754423i | ||||
\(484\) | 18.0494 | 0.820425 | ||||||||
\(485\) | −2.43491 | − | 1.91483i | −0.110564 | − | 0.0869481i | ||||
\(486\) | 0.748713 | − | 1.05142i | 0.0339623 | − | 0.0476934i | ||||
\(487\) | −0.634366 | − | 2.61489i | −0.0287459 | − | 0.118492i | 0.955631 | − | 0.294566i | \(-0.0951752\pi\) |
−0.984377 | + | 0.176074i | \(0.943660\pi\) | |||||||
\(488\) | 3.87300 | − | 0.746459i | 0.175322 | − | 0.0337906i | ||||
\(489\) | −18.4343 | + | 5.41279i | −0.833626 | + | 0.244775i | ||||
\(490\) | 1.68006 | − | 0.211413i | 0.0758972 | − | 0.00955068i | ||||
\(491\) | −6.45652 | + | 14.1378i | −0.291379 | + | 0.638031i | −0.997546 | − | 0.0700146i | \(-0.977695\pi\) |
0.706167 | + | 0.708045i | \(0.250423\pi\) | |||||||
\(492\) | −3.15797 | − | 9.12435i | −0.142372 | − | 0.411357i | ||||
\(493\) | −2.37486 | − | 1.22433i | −0.106958 | − | 0.0551409i | ||||
\(494\) | 0.992255 | − | 0.780318i | 0.0446437 | − | 0.0351082i | ||||
\(495\) | −2.11029 | − | 0.844831i | −0.0948503 | − | 0.0379723i | ||||
\(496\) | 11.8371 | − | 7.60724i | 0.531501 | − | 0.341575i | ||||
\(497\) | 1.81192 | + | 11.3877i | 0.0812758 | + | 0.510809i | ||||
\(498\) | 0.361732 | − | 0.792083i | 0.0162096 | − | 0.0354941i | ||||
\(499\) | 37.5200 | − | 19.3429i | 1.67962 | − | 0.865907i | 0.689736 | − | 0.724061i | \(-0.257727\pi\) |
0.989889 | − | 0.141846i | \(-0.0453037\pi\) | |||||||
\(500\) | 17.4144 | + | 16.6046i | 0.778795 | + | 0.742579i | ||||
\(501\) | −7.53480 | + | 21.7704i | −0.336630 | + | 0.972628i | ||||
\(502\) | −2.40959 | + | 2.29754i | −0.107545 | + | 0.102544i | ||||
\(503\) | −8.78308 | − | 19.2323i | −0.391618 | − | 0.857524i | −0.998052 | − | 0.0623901i | \(-0.980128\pi\) |
0.606434 | − | 0.795134i | \(-0.292600\pi\) | |||||||
\(504\) | 1.33638 | − | 0.278403i | 0.0595270 | − | 0.0124011i | ||||
\(505\) | 23.9097 | 1.06397 | ||||||||
\(506\) | 0.902251 | + | 0.0974401i | 0.0401099 | + | 0.00433174i | ||||
\(507\) | 5.57461 | + | 9.65551i | 0.247577 | + | 0.428816i | ||||
\(508\) | −11.9524 | + | 4.78502i | −0.530302 | + | 0.212301i | ||||
\(509\) | 27.3648 | + | 2.61302i | 1.21292 | + | 0.115820i | 0.681841 | − | 0.731500i | \(-0.261180\pi\) |
0.531082 | + | 0.847320i | \(0.321786\pi\) | |||||||
\(510\) | −0.740450 | − | 0.217416i | −0.0327877 | − | 0.00962733i | ||||
\(511\) | −21.4801 | − | 35.9492i | −0.950224 | − | 1.59030i | ||||
\(512\) | 10.1715 | − | 2.98662i | 0.449521 | − | 0.131991i | ||||
\(513\) | −10.1120 | + | 5.21309i | −0.446455 | + | 0.230164i | ||||
\(514\) | 1.09096 | − | 0.104174i | 0.0481200 | − | 0.00459491i | ||||
\(515\) | −16.5769 | − | 3.19493i | −0.730465 | − | 0.140786i | ||||
\(516\) | −0.386312 | − | 8.10968i | −0.0170064 | − | 0.357009i | ||||
\(517\) | −1.43764 | − | 9.99899i | −0.0632272 | − | 0.439755i | ||||
\(518\) | −0.00515481 | + | 0.158017i | −0.000226490 | + | 0.00694288i | ||||
\(519\) | −18.0496 | + | 11.5997i | −0.792288 | + | 0.509172i | ||||
\(520\) | −1.43548 | − | 4.14754i | −0.0629499 | − | 0.181882i | ||||
\(521\) | −7.67259 | + | 0.732643i | −0.336142 | + | 0.0320977i | −0.261763 | − | 0.965132i | \(-0.584304\pi\) |
−0.0743797 | + | 0.997230i | \(0.523698\pi\) | |||||||
\(522\) | 0.00741046 | − | 0.155565i | 0.000324347 | − | 0.00680888i | ||||
\(523\) | 7.10657 | − | 29.2937i | 0.310749 | − | 1.28092i | −0.575533 | − | 0.817778i | \(-0.695206\pi\) |
0.886282 | − | 0.463146i | \(-0.153279\pi\) | |||||||
\(524\) | 12.2710 | + | 14.1615i | 0.536063 | + | 0.618649i | ||||
\(525\) | −0.454228 | − | 7.24778i | −0.0198241 | − | 0.316319i | ||||
\(526\) | −1.78008 | − | 3.89782i | −0.0776150 | − | 0.169953i | ||||
\(527\) | −6.32732 | − | 4.97586i | −0.275622 | − | 0.216752i | ||||
\(528\) | 3.83221 | + | 6.63758i | 0.166776 | + | 0.288864i | ||||
\(529\) | 22.4697 | + | 4.91058i | 0.976942 | + | 0.213503i | ||||
\(530\) | −1.33609 | + | 2.31418i | −0.0580362 | + | 0.100522i | ||||
\(531\) | −1.32640 | + | 9.22530i | −0.0575608 | + | 0.400344i | ||||
\(532\) | −10.1607 | − | 2.81872i | −0.440521 | − | 0.122207i | ||||
\(533\) | −14.8541 | − | 4.36157i | −0.643404 | − | 0.188920i | ||||
\(534\) | −1.70797 | + | 0.329184i | −0.0739111 | + | 0.0142452i | ||||
\(535\) | 1.93695 | + | 1.84688i | 0.0837417 | + | 0.0798476i | ||||
\(536\) | −0.361769 | + | 7.59448i | −0.0156261 | + | 0.328031i | ||||
\(537\) | 11.8348 | + | 16.6197i | 0.510711 | + | 0.717193i | ||||
\(538\) | 1.40450 | − | 1.62088i | 0.0605524 | − | 0.0698812i | ||||
\(539\) | −2.87272 | + | 9.18189i | −0.123737 | + | 0.395492i | ||||
\(540\) | 2.80123 | + | 19.4830i | 0.120546 | + | 0.838415i | ||||
\(541\) | −11.6129 | − | 4.64909i | −0.499276 | − | 0.199880i | 0.108335 | − | 0.994114i | \(-0.465448\pi\) |
−0.607611 | + | 0.794234i | \(0.707872\pi\) | |||||||
\(542\) | −3.17115 | − | 1.63484i | −0.136213 | − | 0.0702226i | ||||
\(543\) | −7.28071 | − | 1.40324i | −0.312445 | − | 0.0602189i | ||||
\(544\) | −2.10394 | − | 2.95457i | −0.0902056 | − | 0.126676i | ||||
\(545\) | 1.75581 | + | 1.12839i | 0.0752108 | + | 0.0483350i | ||||
\(546\) | −0.956916 | + | 2.18130i | −0.0409522 | + | 0.0933510i | ||||
\(547\) | 14.7706 | + | 17.0461i | 0.631544 | + | 0.728841i | 0.977856 | − | 0.209279i | \(-0.0671116\pi\) |
−0.346312 | + | 0.938119i | \(0.612566\pi\) | |||||||
\(548\) | −31.2718 | + | 29.8176i | −1.33586 | + | 1.27374i | ||||
\(549\) | −3.92927 | + | 5.51789i | −0.167697 | + | 0.235498i | ||||
\(550\) | 0.336059 | − | 0.134538i | 0.0143296 | − | 0.00573670i | ||||
\(551\) | −1.20877 | + | 2.09365i | −0.0514953 | + | 0.0891925i | ||||
\(552\) | −1.52418 | − | 3.44988i | −0.0648734 | − | 0.146837i | ||||
\(553\) | −11.2024 | − | 30.8625i | −0.476373 | − | 1.31241i | ||||
\(554\) | −0.0791318 | + | 0.550374i | −0.00336199 | + | 0.0233831i | ||||
\(555\) | −1.08920 | − | 0.104006i | −0.0462341 | − | 0.00441483i | ||||
\(556\) | −1.03811 | − | 4.27915i | −0.0440257 | − | 0.181476i | ||||
\(557\) | −1.94932 | + | 5.63218i | −0.0825952 | + | 0.238643i | −0.978735 | − | 0.205129i | \(-0.934239\pi\) |
0.896140 | + | 0.443772i | \(0.146360\pi\) | |||||||
\(558\) | 0.110617 | − | 0.455970i | 0.00468279 | − | 0.0193027i | ||||
\(559\) | −10.9511 | − | 7.03786i | −0.463183 | − | 0.297670i | ||||
\(560\) | −10.2582 | + | 14.8725i | −0.433489 | + | 0.628479i | ||||
\(561\) | 2.87130 | − | 3.31365i | 0.121226 | − | 0.139902i | ||||
\(562\) | 0.115688 | + | 2.42858i | 0.00487999 | + | 0.102444i | ||||
\(563\) | 23.4232 | − | 18.4202i | 0.987171 | − | 0.776320i | 0.0124902 | − | 0.999922i | \(-0.496024\pi\) |
0.974680 | + | 0.223602i | \(0.0717817\pi\) | |||||||
\(564\) | −16.4220 | + | 12.9144i | −0.691492 | + | 0.543795i | ||||
\(565\) | −1.36770 | − | 28.7116i | −0.0575396 | − | 1.20790i | ||||
\(566\) | 1.10829 | − | 1.27904i | 0.0465850 | − | 0.0537619i | ||||
\(567\) | 7.94659 | − | 11.5211i | 0.333725 | − | 0.483840i | ||||
\(568\) | 2.00960 | + | 1.29149i | 0.0843209 | + | 0.0541897i | ||||
\(569\) | 0.570113 | − | 2.35004i | 0.0239004 | − | 0.0985188i | −0.958612 | − | 0.284715i | \(-0.908101\pi\) |
0.982513 | + | 0.186196i | \(0.0596161\pi\) | |||||||
\(570\) | −0.228375 | + | 0.659846i | −0.00956557 | + | 0.0276379i | ||||
\(571\) | 5.99427 | + | 24.7087i | 0.250852 | + | 1.03403i | 0.948296 | + | 0.317388i | \(0.102806\pi\) |
−0.697443 | + | 0.716640i | \(0.745679\pi\) | |||||||
\(572\) | 12.3526 | + | 1.17953i | 0.516490 | + | 0.0493188i | ||||
\(573\) | 3.10964 | − | 21.6280i | 0.129907 | − | 0.903524i | ||||
\(574\) | −0.422185 | − | 1.16312i | −0.0176217 | − | 0.0485476i | ||||
\(575\) | 8.83409 | − | 2.47555i | 0.368407 | − | 0.103238i | ||||
\(576\) | −3.55287 | + | 6.15375i | −0.148036 | + | 0.256406i | ||||
\(577\) | −13.8703 | + | 5.55282i | −0.577427 | + | 0.231167i | −0.641946 | − | 0.766750i | \(-0.721873\pi\) |
0.0645194 | + | 0.997916i | \(0.479449\pi\) | |||||||
\(578\) | 0.962845 | − | 1.35213i | 0.0400491 | − | 0.0562410i | ||||
\(579\) | −18.4124 | + | 17.5562i | −0.765195 | + | 0.729612i | ||||
\(580\) | 2.73909 | + | 3.16108i | 0.113735 | + | 0.131257i | ||||
\(581\) | −4.68522 | + | 10.6800i | −0.194375 | + | 0.443081i | ||||
\(582\) | 0.292989 | + | 0.188293i | 0.0121448 | + | 0.00780498i | ||||
\(583\) | −8.80669 | − | 12.3673i | −0.364736 | − | 0.512200i | ||||
\(584\) | −8.51882 | − | 1.64187i | −0.352511 | − | 0.0679410i | ||||
\(585\) | 6.69968 | + | 3.45392i | 0.276997 | + | 0.142802i | ||||
\(586\) | 0.130447 | + | 0.0522233i | 0.00538873 | + | 0.00215732i | ||||
\(587\) | −3.99513 | − | 27.7868i | −0.164897 | − | 1.14688i | −0.889239 | − | 0.457442i | \(-0.848766\pi\) |
0.724342 | − | 0.689440i | \(-0.242143\pi\) | |||||||
\(588\) | 19.4157 | − | 4.34945i | 0.800691 | − | 0.179368i | ||||
\(589\) | −4.76950 | + | 5.50430i | −0.196524 | + | 0.226801i | ||||
\(590\) | 1.38929 | + | 1.95098i | 0.0571961 | + | 0.0803206i | ||||
\(591\) | 1.80964 | − | 37.9891i | 0.0744387 | − | 1.56266i | ||||
\(592\) | −1.22087 | − | 1.16410i | −0.0501774 | − | 0.0478441i | ||||
\(593\) | −44.8735 | + | 8.64865i | −1.84273 | + | 0.355157i | −0.986802 | − | 0.161934i | \(-0.948227\pi\) |
−0.855930 | + | 0.517091i | \(0.827015\pi\) | |||||||
\(594\) | 1.02674 | + | 0.301477i | 0.0421275 | + | 0.0123698i | ||||
\(595\) | 9.95957 | + | 2.76293i | 0.408303 | + | 0.113269i | ||||
\(596\) | −4.55736 | + | 31.6972i | −0.186677 | + | 1.29837i | ||||
\(597\) | −16.9936 | + | 29.4338i | −0.695502 | + | 1.20465i | ||||
\(598\) | −2.94758 | − | 0.606039i | −0.120536 | − | 0.0247828i | ||||
\(599\) | −9.56177 | − | 16.5615i | −0.390683 | − | 0.676683i | 0.601856 | − | 0.798604i | \(-0.294428\pi\) |
−0.992540 | + | 0.121921i | \(0.961095\pi\) | |||||||
\(600\) | −1.18256 | − | 0.929979i | −0.0482780 | − | 0.0379662i | ||||
\(601\) | −17.5868 | − | 38.5096i | −0.717379 | − | 1.57084i | −0.817542 | − | 0.575870i | \(-0.804664\pi\) |
0.100163 | − | 0.994971i | \(-0.468064\pi\) | |||||||
\(602\) | −0.0650794 | − | 1.03842i | −0.00265244 | − | 0.0423230i | ||||
\(603\) | −8.55092 | − | 9.86829i | −0.348220 | − | 0.401868i | ||||
\(604\) | 2.35868 | − | 9.72261i | 0.0959733 | − | 0.395607i | ||||
\(605\) | −0.761690 | + | 15.9898i | −0.0309671 | + | 0.650079i | ||||
\(606\) | −2.67607 | + | 0.255533i | −0.108708 | + | 0.0103803i | ||||
\(607\) | −3.14879 | − | 9.09782i | −0.127805 | − | 0.369269i | 0.862886 | − | 0.505399i | \(-0.168655\pi\) |
−0.990691 | + | 0.136130i | \(0.956534\pi\) | |||||||
\(608\) | −2.76087 | + | 1.77430i | −0.111968 | + | 0.0719575i | ||||
\(609\) | 0.148736 | − | 4.55939i | 0.00602707 | − | 0.184756i | ||||
\(610\) | 0.247736 | + | 1.72304i | 0.0100305 | + | 0.0697639i | ||||
\(611\) | 1.59387 | + | 33.4594i | 0.0644810 | + | 1.35362i | ||||
\(612\) | 4.07133 | + | 0.784685i | 0.164574 | + | 0.0317190i | ||||
\(613\) | −21.8086 | + | 2.08247i | −0.880839 | + | 0.0841100i | −0.525667 | − | 0.850691i | \(-0.676184\pi\) |
−0.355173 | + | 0.934801i | \(0.615578\pi\) | |||||||
\(614\) | 0.861472 | − | 0.444119i | 0.0347662 | − | 0.0179232i | ||||
\(615\) | 8.21648 | − | 2.41258i | 0.331321 | − | 0.0972845i | ||||
\(616\) | 1.02231 | + | 1.71094i | 0.0411899 | + | 0.0689356i | ||||
\(617\) | 10.4777 | + | 3.07652i | 0.421815 | + | 0.123856i | 0.485750 | − | 0.874098i | \(-0.338547\pi\) |
−0.0639344 | + | 0.997954i | \(0.520365\pi\) | |||||||
\(618\) | 1.88950 | + | 0.180425i | 0.0760067 | + | 0.00725776i | ||||
\(619\) | 18.0873 | − | 7.24108i | 0.726992 | − | 0.291044i | 0.0215070 | − | 0.999769i | \(-0.493154\pi\) |
0.705485 | + | 0.708725i | \(0.250729\pi\) | |||||||
\(620\) | 6.30055 | + | 10.9129i | 0.253036 | + | 0.438271i | ||||
\(621\) | 25.0512 | + | 10.3906i | 1.00527 | + | 0.416962i | ||||
\(622\) | 1.95454 | 0.0783699 | ||||||||
\(623\) | 22.8066 | − | 4.75123i | 0.913728 | − | 0.190354i | ||||
\(624\) | −10.5578 | − | 23.1183i | −0.422649 | − | 0.925473i | ||||
\(625\) | −8.52232 | + | 8.12602i | −0.340893 | + | 0.325041i | ||||
\(626\) | −0.411220 | + | 1.18814i | −0.0164357 | + | 0.0474877i | ||||
\(627\) | −2.87121 | − | 2.73769i | −0.114665 | − | 0.109333i | ||||
\(628\) | −19.4339 | + | 10.0189i | −0.775499 | + | 0.399797i | ||||
\(629\) | −0.400887 | + | 0.877821i | −0.0159844 | + | 0.0350010i | ||||
\(630\) | 0.0946673 | + | 0.594973i | 0.00377164 | + | 0.0237043i | ||||
\(631\) | 24.5649 | − | 15.7869i | 0.977911 | − | 0.628465i | 0.0490122 | − | 0.998798i | \(-0.484393\pi\) |
0.928899 | + | 0.370333i | \(0.120756\pi\) | |||||||
\(632\) | −6.31456 | − | 2.52797i | −0.251180 | − | 0.100557i | ||||
\(633\) | −21.4457 | + | 16.8651i | −0.852391 | + | 0.670327i | ||||
\(634\) | −0.162208 | − | 0.0836242i | −0.00644211 | − | 0.00332114i | ||||
\(635\) | −3.73463 | − | 10.7905i | −0.148204 | − | 0.428208i | ||||
\(636\) | −13.0437 | + | 28.5617i | −0.517215 | + | 1.13254i | ||||
\(637\) | 12.3769 | − | 29.4036i | 0.490390 | − | 1.16501i | ||||
\(638\) | 0.218181 | − | 0.0640638i | 0.00863789 | − | 0.00253631i | ||||
\(639\) | −4.02843 | + | 0.776417i | −0.159362 | + | 0.0307146i | ||||
\(640\) | 1.78197 | + | 7.34539i | 0.0704387 | + | 0.290352i | ||||
\(641\) | 14.5383 | − | 20.4162i | 0.574229 | − | 0.806392i | −0.420676 | − | 0.907211i | \(-0.638207\pi\) |
0.994905 | + | 0.100819i | \(0.0321463\pi\) | |||||||
\(642\) | −0.236530 | − | 0.186009i | −0.00933508 | − | 0.00734119i | ||||
\(643\) | −6.26090 | −0.246906 | −0.123453 | − | 0.992350i | \(-0.539397\pi\) | ||||
−0.123453 | + | 0.992350i | \(0.539397\pi\) | |||||||
\(644\) | 10.5018 | + | 22.8378i | 0.413828 | + | 0.899934i | ||||
\(645\) | 7.20063 | 0.283525 | ||||||||
\(646\) | 0.484086 | + | 0.380689i | 0.0190461 | + | 0.0149780i | ||||
\(647\) | −10.5689 | + | 14.8419i | −0.415506 | + | 0.583496i | −0.968290 | − | 0.249828i | \(-0.919626\pi\) |
0.552784 | + | 0.833324i | \(0.313565\pi\) | |||||||
\(648\) | −0.683571 | − | 2.81772i | −0.0268532 | − | 0.110690i | ||||
\(649\) | −13.3622 | + | 2.57535i | −0.524511 | + | 0.101091i | ||||
\(650\) | −1.15172 | + | 0.338176i | −0.0451743 | + | 0.0132644i | ||||
\(651\) | 3.03953 | − | 13.4029i | 0.119129 | − | 0.525300i | ||||
\(652\) | 11.0196 | − | 24.1296i | 0.431562 | − | 0.944988i | ||||
\(653\) | −3.81340 | − | 11.0181i | −0.149230 | − | 0.431172i | 0.845466 | − | 0.534029i | \(-0.179323\pi\) |
−0.994696 | + | 0.102857i | \(0.967202\pi\) | |||||||
\(654\) | −0.208577 | − | 0.107529i | −0.00815601 | − | 0.00420472i | ||||
\(655\) | −13.0635 | + | 10.2732i | −0.510432 | + | 0.401408i | ||||
\(656\) | 12.2567 | + | 4.90685i | 0.478545 | + | 0.191580i | ||||
\(657\) | 12.5343 | − | 8.05531i | 0.489010 | − | 0.314268i | ||||
\(658\) | −2.07949 | + | 1.68638i | −0.0810670 | + | 0.0657421i | ||||
\(659\) | −15.3310 | + | 33.5701i | −0.597210 | + | 1.30771i | 0.333776 | + | 0.942652i | \(0.391677\pi\) |
−0.930986 | + | 0.365055i | \(0.881050\pi\) | |||||||
\(660\) | −6.10086 | + | 3.14521i | −0.237476 | + | 0.122427i | ||||
\(661\) | −5.01481 | − | 4.78161i | −0.195053 | − | 0.185983i | 0.586258 | − | 0.810124i | \(-0.300600\pi\) |
−0.781311 | + | 0.624141i | \(0.785449\pi\) | |||||||
\(662\) | 0.404898 | − | 1.16988i | 0.0157368 | − | 0.0454685i | ||||
\(663\) | −10.5225 | + | 10.0332i | −0.408660 | + | 0.389657i | ||||
\(664\) | 1.00367 | + | 2.19773i | 0.0389499 | + | 0.0852883i | ||||
\(665\) | 2.92588 | − | 8.88235i | 0.113461 | − | 0.344443i | ||||
\(666\) | −0.0562505 | −0.00217966 | ||||||||
\(667\) | 5.67205 | − | 1.02054i | 0.219623 | − | 0.0395155i | ||||
\(668\) | −15.9039 | − | 27.5464i | −0.615341 | − | 1.06580i | ||||
\(669\) | −22.7890 | + | 9.12335i | −0.881075 | + | 0.352729i | ||||
\(670\) | −3.34034 | − | 0.318964i | −0.129049 | − | 0.0123226i | ||||
\(671\) | −9.48977 | − | 2.78645i | −0.366349 | − | 0.107570i | ||||
\(672\) | 3.01563 | − | 5.40888i | 0.116331 | − | 0.208652i | ||||
\(673\) | −27.9531 | + | 8.20777i | −1.07751 | + | 0.316386i | −0.771883 | − | 0.635764i | \(-0.780685\pi\) |
−0.305630 | + | 0.952150i | \(0.598867\pi\) | |||||||
\(674\) | −0.0810940 | + | 0.0418069i | −0.00312363 | + | 0.00161034i | ||||
\(675\) | 10.7691 | − | 1.02832i | 0.414502 | − | 0.0395802i | ||||
\(676\) | −15.1156 | − | 2.91329i | −0.581369 | − | 0.112050i | ||||
\(677\) | 2.36850 | + | 49.7209i | 0.0910289 | + | 1.91093i | 0.336756 | + | 0.941592i | \(0.390670\pi\) |
−0.245727 | + | 0.969339i | \(0.579027\pi\) | |||||||
\(678\) | 0.459931 | + | 3.19889i | 0.0176636 | + | 0.122853i | ||||
\(679\) | −3.96144 | − | 2.46275i | −0.152026 | − | 0.0945118i | ||||
\(680\) | 1.80129 | − | 1.15762i | 0.0690764 | − | 0.0443927i | ||||
\(681\) | −1.19071 | − | 3.44034i | −0.0456283 | − | 0.131834i | ||||
\(682\) | 0.681955 | − | 0.0651188i | 0.0261134 | − | 0.00249353i | ||||
\(683\) | −0.394813 | + | 8.28814i | −0.0151071 | + | 0.317137i | 0.978647 | + | 0.205547i | \(0.0658973\pi\) |
−0.993754 | + | 0.111590i | \(0.964406\pi\) | |||||||
\(684\) | 0.884466 | − | 3.64582i | 0.0338184 | − | 0.139401i | ||||
\(685\) | −25.0956 | − | 28.9618i | −0.958852 | − | 1.10657i | ||||
\(686\) | 2.47955 | − | 0.594630i | 0.0946698 | − | 0.0227031i | ||||
\(687\) | −4.77846 | − | 10.4634i | −0.182310 | − | 0.399203i | ||||
\(688\) | 8.72635 | + | 6.86247i | 0.332689 | + | 0.261629i | ||||
\(689\) | 25.1723 | + | 43.5998i | 0.958990 | + | 1.66102i | ||||
\(690\) | 1.55285 | − | 0.599471i | 0.0591160 | − | 0.0228215i | ||||
\(691\) | −11.7834 | + | 20.4094i | −0.448261 | + | 0.776410i | −0.998273 | − | 0.0587465i | \(-0.981290\pi\) |
0.550012 | + | 0.835156i | \(0.314623\pi\) | |||||||
\(692\) | 4.21590 | − | 29.3222i | 0.160264 | − | 1.11466i | ||||
\(693\) | −3.29839 | − | 0.915022i | −0.125295 | − | 0.0347588i | ||||
\(694\) | 2.73886 | + | 0.804201i | 0.103966 | + | 0.0305271i | ||||
\(695\) | 3.83469 | − | 0.739076i | 0.145458 | − | 0.0280347i | ||||
\(696\) | −0.683964 | − | 0.652158i | −0.0259256 | − | 0.0247200i | ||||
\(697\) | 0.359373 | − | 7.54418i | 0.0136122 | − | 0.285756i | ||||
\(698\) | −0.399429 | − | 0.560920i | −0.0151186 | − | 0.0212311i | ||||
\(699\) | −10.0821 | + | 11.6353i | −0.381338 | + | 0.440088i | ||||
\(700\) | 7.97351 | + | 6.07924i | 0.301370 | + | 0.229774i | ||||
\(701\) | −2.94881 | − | 20.5094i | −0.111375 | − | 0.774630i | −0.966585 | − | 0.256348i | \(-0.917481\pi\) |
0.855210 | − | 0.518282i | \(-0.173428\pi\) | |||||||
\(702\) | −3.29419 | − | 1.31880i | −0.124331 | − | 0.0497747i | ||||
\(703\) | 0.776101 | + | 0.400108i | 0.0292712 | + | 0.0150903i | ||||
\(704\) | −10.1874 | − | 1.96345i | −0.383951 | − | 0.0740005i | ||||
\(705\) | −10.7478 | − | 15.0932i | −0.404786 | − | 0.568442i | ||||
\(706\) | −3.94525 | − | 2.53546i | −0.148481 | − | 0.0954232i | ||||
\(707\) | 35.7859 | − | 3.95927i | 1.34587 | − | 0.148904i | ||||
\(708\) | 18.4298 | + | 21.2691i | 0.692635 | + | 0.799343i | ||||
\(709\) | 32.7145 | − | 31.1932i | 1.22862 | − | 1.17149i | 0.249462 | − | 0.968385i | \(-0.419746\pi\) |
0.979158 | − | 0.203102i | \(-0.0651024\pi\) | |||||||
\(710\) | −0.611540 | + | 0.858787i | −0.0229507 | + | 0.0322297i | ||||
\(711\) | 10.8447 | − | 4.34156i | 0.406708 | − | 0.162821i | ||||
\(712\) | 2.41309 | − | 4.17959i | 0.0904343 | − | 0.156637i | ||||
\(713\) | 17.3610 | + | 0.214941i | 0.650176 | + | 0.00804960i | ||||
\(714\) | −1.14424 | − | 0.202796i | −0.0428222 | − | 0.00758944i | ||||
\(715\) | −1.56623 | + | 10.8934i | −0.0585737 | + | 0.407389i | ||||
\(716\) | −28.0428 | − | 2.67776i | −1.04801 | − | 0.100073i | ||||
\(717\) | 8.84946 | + | 36.4780i | 0.330489 | + | 1.36229i | ||||
\(718\) | −0.128430 | + | 0.371074i | −0.00479296 | + | 0.0138484i | ||||
\(719\) | 7.03417 | − | 28.9953i | 0.262330 | − | 1.08134i | −0.676358 | − | 0.736573i | \(-0.736443\pi\) |
0.938688 | − | 0.344767i | \(-0.112042\pi\) | |||||||
\(720\) | −5.40765 | − | 3.47528i | −0.201531 | − | 0.129516i | ||||
\(721\) | −25.3399 | − | 2.03689i | −0.943707 | − | 0.0758577i | ||||
\(722\) | −1.34815 | + | 1.55585i | −0.0501731 | + | 0.0579028i | ||||
\(723\) | 0.770295 | + | 16.1705i | 0.0286476 | + | 0.601387i | ||||
\(724\) | 8.04722 | − | 6.32840i | 0.299073 | − | 0.235193i | ||||
\(725\) | 1.80701 | − | 1.42105i | 0.0671106 | − | 0.0527763i | ||||
\(726\) | −0.0856391 | − | 1.79779i | −0.00317836 | − | 0.0667221i | ||||
\(727\) | −13.9064 | + | 16.0489i | −0.515761 | + | 0.595220i | −0.952564 | − | 0.304337i | \(-0.901565\pi\) |
0.436804 | + | 0.899557i | \(0.356110\pi\) | |||||||
\(728\) | −2.83530 | − | 5.96997i | −0.105083 | − | 0.221262i | ||||
\(729\) | 24.6666 | + | 15.8523i | 0.913578 | + | 0.587121i | ||||
\(730\) | 0.902691 | − | 3.72094i | 0.0334101 | − | 0.137718i | ||||
\(731\) | 2.07715 | − | 6.00154i | 0.0768262 | − | 0.221975i | ||||
\(732\) | 4.82234 | + | 19.8779i | 0.178239 | + | 0.734710i | ||||
\(733\) | 39.2048 | + | 3.74360i | 1.44806 | + | 0.138273i | 0.789267 | − | 0.614050i | \(-0.210461\pi\) |
0.658794 | + | 0.752323i | \(0.271067\pi\) | |||||||
\(734\) | 0.0390359 | − | 0.271500i | 0.00144084 | − | 0.0100213i | ||||
\(735\) | 3.03381 | + | 17.3838i | 0.111904 | + | 0.641213i | ||||
\(736\) | 7.47878 | + | 2.29691i | 0.275671 | + | 0.0846652i | ||||
\(737\) | 9.53250 | − | 16.5108i | 0.351134 | − | 0.608182i | ||||
\(738\) | 0.408705 | − | 0.163621i | 0.0150446 | − | 0.00602297i | ||||
\(739\) | 1.57866 | − | 2.21692i | 0.0580721 | − | 0.0815508i | −0.784519 | − | 0.620105i | \(-0.787090\pi\) |
0.842591 | + | 0.538554i | \(0.181029\pi\) | |||||||
\(740\) | 1.09335 | − | 1.04251i | 0.0401924 | − | 0.0383234i | ||||
\(741\) | 8.61481 | + | 9.94202i | 0.316473 | + | 0.365229i | ||||
\(742\) | −1.61654 | + | 3.68491i | −0.0593450 | + | 0.135277i | ||||
\(743\) | −4.25688 | − | 2.73573i | −0.156170 | − | 0.100364i | 0.460222 | − | 0.887804i | \(-0.347770\pi\) |
−0.616392 | + | 0.787440i | \(0.711406\pi\) | |||||||
\(744\) | −1.65149 | − | 2.31919i | −0.0605465 | − | 0.0850257i | ||||
\(745\) | −27.8880 | − | 5.37498i | −1.02174 | − | 0.196924i | ||||
\(746\) | 1.44208 | + | 0.743446i | 0.0527985 | + | 0.0272195i | ||||
\(747\) | −3.85214 | − | 1.54216i | −0.140942 | − | 0.0564248i | ||||
\(748\) | 0.861548 | + | 5.99220i | 0.0315013 | + | 0.219096i | ||||
\(749\) | 3.20489 | + | 2.44350i | 0.117104 | + | 0.0892837i | ||||
\(750\) | 1.57125 | − | 1.81332i | 0.0573741 | − | 0.0662132i | ||||
\(751\) | −11.2509 | − | 15.7997i | −0.410551 | − | 0.576538i | 0.556588 | − | 0.830789i | \(-0.312110\pi\) |
−0.967138 | + | 0.254251i | \(0.918171\pi\) | |||||||
\(752\) | 1.35926 | − | 28.5343i | 0.0495670 | − | 1.04054i | ||||
\(753\) | −25.1113 | − | 23.9436i | −0.915107 | − | 0.872552i | ||||
\(754\) | −0.740401 | + | 0.142701i | −0.0269638 | + | 0.00519685i | ||||
\(755\) | 8.51367 | + | 2.49984i | 0.309844 | + | 0.0909785i | ||||
\(756\) | 7.41888 | + | 28.6966i | 0.269822 | + | 1.04369i | ||||
\(757\) | 1.51058 | − | 10.5063i | 0.0549031 | − | 0.381859i | −0.943781 | − | 0.330572i | \(-0.892758\pi\) |
0.998684 | − | 0.0512875i | \(-0.0163325\pi\) | |||||||
\(758\) | −1.04967 | + | 1.81809i | −0.0381259 | + | 0.0660359i | ||||
\(759\) | −0.566912 | + | 9.44036i | −0.0205776 | + | 0.342664i | ||||
\(760\) | −0.968687 | − | 1.67782i | −0.0351380 | − | 0.0608608i | ||||
\(761\) | 13.3784 | + | 10.5209i | 0.484968 | + | 0.381383i | 0.830495 | − | 0.557026i | \(-0.188057\pi\) |
−0.345527 | + | 0.938409i | \(0.612300\pi\) | |||||||
\(762\) | 0.533318 | + | 1.16780i | 0.0193201 | + | 0.0423050i | ||||
\(763\) | 2.81480 | + | 1.39813i | 0.101903 | + | 0.0506157i | ||||
\(764\) | 19.7565 | + | 22.8002i | 0.714764 | + | 0.824881i | ||||
\(765\) | −0.866960 | + | 3.57366i | −0.0313450 | + | 0.129206i | ||||
\(766\) | 0.167459 | − | 3.51540i | 0.00605055 | − | 0.127017i | ||||
\(767\) | 44.9197 | − | 4.28931i | 1.62196 | − | 0.154878i | ||||
\(768\) | 6.80691 | + | 19.6673i | 0.245623 | + | 0.709682i | ||||
\(769\) | −16.8217 | + | 10.8106i | −0.606604 | + | 0.389841i | −0.807582 | − | 0.589755i | \(-0.799224\pi\) |
0.200978 | + | 0.979596i | \(0.435588\pi\) | |||||||
\(770\) | −0.775715 | + | 0.414743i | −0.0279548 | + | 0.0149463i | ||||
\(771\) | 1.62538 | + | 11.3047i | 0.0585365 | + | 0.407130i | ||||
\(772\) | −1.67138 | − | 35.0865i | −0.0601542 | − | 1.26279i | ||||
\(773\) | −53.9144 | − | 10.3912i | −1.93917 | − | 0.373744i | −0.999499 | − | 0.0316550i | \(-0.989922\pi\) |
−0.939668 | − | 0.342089i | \(-0.888866\pi\) | |||||||
\(774\) | 0.368507 | − | 0.0351881i | 0.0132457 | − | 0.00126481i | ||||
\(775\) | 6.15574 | − | 3.17350i | 0.221121 | − | 0.113996i | ||||
\(776\) | −0.927192 | + | 0.272248i | −0.0332842 | + | 0.00977314i | ||||
\(777\) | −1.64745 | + | 0.0246964i | −0.0591019 | + | 0.000885980i | ||||
\(778\) | −4.04181 | − | 1.18678i | −0.144906 | − | 0.0425482i | ||||
\(779\) | −6.80283 | − | 0.649591i | −0.243737 | − | 0.0232740i | ||||
\(780\) | 21.1301 | − | 8.45920i | 0.756578 | − | 0.302888i | ||||
\(781\) | −2.99502 | − | 5.18752i | −0.107170 | − | 0.185624i | ||||
\(782\) | −0.0516956 | − | 1.46719i | −0.00184863 | − | 0.0524665i | ||||
\(783\) | 6.79565 | 0.242857 | ||||||||
\(784\) | −12.8908 | + | 23.9586i | −0.460387 | + | 0.855664i | ||||
\(785\) | −8.05557 | − | 17.6392i | −0.287516 | − | 0.629571i | ||||
\(786\) | 1.35232 | − | 1.28944i | 0.0482357 | − | 0.0459926i | ||||
\(787\) | 14.6708 | − | 42.3885i | 0.522958 | − | 1.51099i | −0.306196 | − | 0.951968i | \(-0.599056\pi\) |
0.829154 | − | 0.559020i | \(-0.188822\pi\) | |||||||
\(788\) | 38.0041 | + | 36.2368i | 1.35384 | + | 1.29088i | ||||
\(789\) | 39.6920 | − | 20.4626i | 1.41307 | − | 0.728489i | ||||
\(790\) | 1.24703 | − | 2.73062i | 0.0443673 | − | 0.0971509i | ||||
\(791\) | −6.80148 | − | 42.7465i | −0.241833 | − | 1.51989i | ||||
\(792\) | −0.596548 | + | 0.383378i | −0.0211974 | + | 0.0136227i | ||||
\(793\) | 30.4471 | + | 12.1892i | 1.08121 | + | 0.432850i | ||||
\(794\) | −1.11062 | + | 0.873404i | −0.0394146 | + | 0.0309960i | ||||
\(795\) | −24.7522 | − | 12.7606i | −0.877870 | − | 0.452573i | ||||
\(796\) | −15.3481 | − | 44.3454i | −0.543998 | − | 1.57178i | ||||
\(797\) | 7.48634 | − | 16.3928i | 0.265180 | − | 0.580663i | −0.729465 | − | 0.684018i | \(-0.760231\pi\) |
0.994644 | + | 0.103356i | \(0.0329580\pi\) | |||||||
\(798\) | −0.232546 | + | 1.02542i | −0.00823204 | + | 0.0362994i | ||||
\(799\) | −15.6802 | + | 4.60411i | −0.554725 | + | 0.162882i | ||||
\(800\) | 3.06431 | − | 0.590598i | 0.108340 | − | 0.0208808i | ||||
\(801\) | 1.95409 | + | 8.05489i | 0.0690445 | + | 0.284605i | ||||
\(802\) | −1.05485 | + | 1.48133i | −0.0372480 | + | 0.0523075i | ||||
\(803\) | 17.1001 | + | 13.4477i | 0.603449 | + | 0.474557i | ||||
\(804\) | −39.4287 | −1.39054 | ||||||||
\(805\) | −20.6750 | + | 8.33970i | −0.728700 | + | 0.293936i | ||||
\(806\) | −2.27163 | −0.0800148 | ||||||||
\(807\) | 17.5691 | + | 13.8165i | 0.618463 | + | 0.486365i | ||||
\(808\) | 4.32655 | − | 6.07579i | 0.152207 | − | 0.213745i | ||||
\(809\) | 5.37941 | + | 22.1742i | 0.189130 | + | 0.779604i | 0.984774 | + | 0.173840i | \(0.0556174\pi\) |
−0.795644 | + | 0.605764i | \(0.792867\pi\) | |||||||
\(810\) | 1.25651 | − | 0.242173i | 0.0441494 | − | 0.00850910i | ||||
\(811\) | 22.0298 | − | 6.46853i | 0.773570 | − | 0.227141i | 0.128958 | − | 0.991650i | \(-0.458837\pi\) |
0.644613 | + | 0.764509i | \(0.277019\pi\) | |||||||
\(812\) | 4.62308 | + | 4.27765i | 0.162238 | + | 0.150116i | ||||
\(813\) | 15.4455 | − | 33.8210i | 0.541699 | − | 1.18616i | ||||
\(814\) | −0.0268619 | − | 0.0776124i | −0.000941510 | − | 0.00272031i | ||||
\(815\) | 20.9113 | + | 10.7805i | 0.732490 | + | 0.377625i | ||||
\(816\) | 9.74633 | − | 7.66460i | 0.341190 | − | 0.268315i | ||||
\(817\) | −5.33466 | − | 2.13568i | −0.186636 | − | 0.0747179i | ||||
\(818\) | −1.67609 | + | 1.07716i | −0.0586033 | + | 0.0376620i | ||||
\(819\) | 10.5994 | + | 4.06011i | 0.370374 | + | 0.141872i | ||||
\(820\) | −4.91164 | + | 10.7550i | −0.171522 | + | 0.375581i | ||||
\(821\) | 20.0833 | − | 10.3537i | 0.700912 | − | 0.361345i | −0.0706485 | − | 0.997501i | \(-0.522507\pi\) |
0.771560 | + | 0.636156i | \(0.219477\pi\) | |||||||
\(822\) | 3.11832 | + | 2.97331i | 0.108764 | + | 0.103706i | ||||
\(823\) | −6.83635 | + | 19.7523i | −0.238300 | + | 0.688523i | 0.760913 | + | 0.648854i | \(0.224751\pi\) |
−0.999213 | + | 0.0396687i | \(0.987370\pi\) | |||||||
\(824\) | −3.81153 | + | 3.63428i | −0.132781 | + | 0.126606i | ||||
\(825\) | 1.56712 | + | 3.43151i | 0.0545601 | + | 0.119470i | ||||
\(826\) | 2.40243 | + | 2.69000i | 0.0835913 | + | 0.0935972i | ||||
\(827\) | −33.6913 | −1.17156 | −0.585781 | − | 0.810470i | \(-0.699212\pi\) | ||||
−0.585781 | + | 0.810470i | \(0.699212\pi\) | |||||||
\(828\) | −7.99925 | + | 3.99934i | −0.277993 | + | 0.138987i | ||||
\(829\) | −19.6514 | − | 34.0373i | −0.682523 | − | 1.18216i | −0.974208 | − | 0.225650i | \(-0.927549\pi\) |
0.291686 | − | 0.956514i | \(-0.405784\pi\) | |||||||
\(830\) | −0.989919 | + | 0.396304i | −0.0343606 | + | 0.0137559i | ||||
\(831\) | −5.76840 | − | 0.550815i | −0.200103 | − | 0.0191076i | ||||
\(832\) | 33.0092 | + | 9.69238i | 1.14439 | + | 0.336023i | ||||
\(833\) | 15.3641 | + | 2.48608i | 0.532336 | + | 0.0861377i | ||||
\(834\) | −0.421294 | + | 0.123703i | −0.0145882 | + | 0.00428349i | ||||
\(835\) | 25.0744 | − | 12.9267i | 0.867734 | − | 0.447348i | ||||
\(836\) | 5.45274 | − | 0.520674i | 0.188587 | − | 0.0180079i | ||||
\(837\) | 20.1030 | + | 3.87454i | 0.694862 | + | 0.133924i | ||||
\(838\) | −0.0793988 | − | 1.66679i | −0.00274279 | − | 0.0575782i | ||||
\(839\) | 3.41567 | + | 23.7565i | 0.117922 | + | 0.820165i | 0.959838 | + | 0.280556i | \(0.0905188\pi\) |
−0.841916 | + | 0.539609i | \(0.818572\pi\) | |||||||
\(840\) | 3.10470 | + | 1.93013i | 0.107122 | + | 0.0665959i | ||||
\(841\) | −23.1815 | + | 14.8979i | −0.799363 | + | 0.513719i | ||||
\(842\) | 0.0451659 | + | 0.130498i | 0.00155652 | + | 0.00449726i | ||||
\(843\) | −25.2231 | + | 2.40852i | −0.868731 | + | 0.0829537i | ||||
\(844\) | 1.79238 | − | 37.6268i | 0.0616964 | − | 1.29517i | ||||
\(845\) | 3.21875 | − | 13.2679i | 0.110729 | − | 0.456429i | ||||
\(846\) | −0.623798 | − | 0.719901i | −0.0214466 | − | 0.0247507i | ||||
\(847\) | 1.50777 | + | 24.0583i | 0.0518075 | + | 0.826654i | ||||
\(848\) | −17.8355 | − | 39.0542i | −0.612473 | − | 1.34113i | ||||
\(849\) | 13.8638 | + | 10.9026i | 0.475804 | + | 0.374177i | ||||
\(850\) | −0.292802 | − | 0.507149i | −0.0100430 | − | 0.0173951i | ||||
\(851\) | −0.465658 | − | 2.02877i | −0.0159626 | − | 0.0695453i | ||||
\(852\) | −6.19405 | + | 10.7284i | −0.212205 | + | 0.367549i | ||||
\(853\) | −2.92140 | + | 20.3188i | −0.100027 | + | 0.695702i | 0.876672 | + | 0.481088i | \(0.159758\pi\) |
−0.976699 | + | 0.214614i | \(0.931151\pi\) | |||||||
\(854\) | 0.656112 | + | 2.53787i | 0.0224517 | + | 0.0868443i | ||||
\(855\) | 3.19249 | + | 0.937399i | 0.109181 | + | 0.0320584i | ||||
\(856\) | 0.819817 | − | 0.158007i | 0.0280208 | − | 0.00540056i | ||||
\(857\) | 35.7548 | + | 34.0921i | 1.22136 | + | 1.16456i | 0.981026 | + | 0.193874i | \(0.0621052\pi\) |
0.240333 | + | 0.970690i | \(0.422743\pi\) | |||||||
\(858\) | 0.0588764 | − | 1.23597i | 0.00201001 | − | 0.0421952i | ||||
\(859\) | 18.4301 | + | 25.8814i | 0.628825 | + | 0.883062i | 0.998945 | − | 0.0459225i | \(-0.0146227\pi\) |
−0.370120 | + | 0.928984i | \(0.620683\pi\) | |||||||
\(860\) | −6.51058 | + | 7.51361i | −0.222009 | + | 0.256212i | ||||
\(861\) | 11.8982 | − | 4.97152i | 0.405490 | − | 0.169429i | ||||
\(862\) | 0.250142 | + | 1.73977i | 0.00851985 | + | 0.0592569i | ||||
\(863\) | −19.7288 | − | 7.89823i | −0.671577 | − | 0.268859i | 0.0107106 | − | 0.999943i | \(-0.496591\pi\) |
−0.682288 | + | 0.731084i | \(0.739015\pi\) | |||||||
\(864\) | 8.19969 | + | 4.22723i | 0.278959 | + | 0.143813i | ||||
\(865\) | 25.7985 | + | 4.97225i | 0.877175 | + | 0.169062i | ||||
\(866\) | 0.468700 | + | 0.658197i | 0.0159271 | + | 0.0223665i | ||||
\(867\) | 14.5525 | + | 9.35233i | 0.494229 | + | 0.317622i | ||||
\(868\) | 11.2372 | + | 15.2901i | 0.381415 | + | 0.518980i | ||||
\(869\) | 11.1691 | + | 12.8898i | 0.378886 | + | 0.437258i | ||||
\(870\) | 0.301860 | − | 0.287823i | 0.0102340 | − | 0.00975810i | ||||
\(871\) | −36.6707 | + | 51.4967i | −1.24254 | + | 1.74490i | ||||
\(872\) | 0.604461 | − | 0.241990i | 0.0204696 | − | 0.00819481i | ||||
\(873\) | 0.829797 | − | 1.43725i | 0.0280844 | − | 0.0486436i | ||||
\(874\) | −1.32825 | − | 0.0164445i | −0.0449286 | − | 0.000556245i | ||||
\(875\) | −20.6778 | + | 24.5990i | −0.699038 | + | 0.831599i | ||||
\(876\) | 6.40283 | − | 44.5327i | 0.216332 | − | 1.50462i | ||||
\(877\) | −14.1809 | − | 1.35411i | −0.478854 | − | 0.0457250i | −0.147161 | − | 0.989113i | \(-0.547014\pi\) |
−0.331693 | + | 0.943388i | \(0.607620\pi\) | |||||||
\(878\) | 0.560774 | + | 2.31154i | 0.0189252 | + | 0.0780108i | ||||
\(879\) | −0.478937 | + | 1.38380i | −0.0161541 | + | 0.0466743i | ||||
\(880\) | 2.21270 | − | 9.12087i | 0.0745901 | − | 0.307464i | ||||
\(881\) | 4.12603 | + | 2.65164i | 0.139009 | + | 0.0893359i | 0.608297 | − | 0.793709i | \(-0.291853\pi\) |
−0.469288 | + | 0.883045i | \(0.655489\pi\) | |||||||
\(882\) | 0.240213 | + | 0.874827i | 0.00808839 | + | 0.0294570i | ||||
\(883\) | −10.5038 | + | 12.1221i | −0.353482 | + | 0.407940i | −0.904445 | − | 0.426589i | \(-0.859715\pi\) |
0.550963 | + | 0.834529i | \(0.314260\pi\) | |||||||
\(884\) | −0.955174 | − | 20.0516i | −0.0321260 | − | 0.674407i | ||||
\(885\) | −19.6200 | + | 15.4293i | −0.659518 | + | 0.518651i | ||||
\(886\) | −0.536294 | + | 0.421747i | −0.0180172 | + | 0.0141689i | ||||
\(887\) | −2.27863 | − | 47.8344i | −0.0765091 | − | 1.60612i | −0.632248 | − | 0.774766i | \(-0.717868\pi\) |
0.555739 | − | 0.831357i | \(-0.312435\pi\) | |||||||
\(888\) | −0.223525 | + | 0.257962i | −0.00750101 | + | 0.00865663i | ||||
\(889\) | −7.37650 | − | 15.5319i | −0.247400 | − | 0.520922i | ||||
\(890\) | 1.79185 | + | 1.15155i | 0.0600630 | + | 0.0386001i | ||||
\(891\) | −1.71408 | + | 7.06553i | −0.0574238 | + | 0.236704i | ||||
\(892\) | 11.0852 | − | 32.0286i | 0.371160 | − | 1.07240i | ||||
\(893\) | 3.48605 | + | 14.3697i | 0.116656 | + | 0.480864i | ||||
\(894\) | 3.17878 | + | 0.303537i | 0.106314 | + | 0.0101518i | ||||
\(895\) | 3.55563 | − | 24.7299i | 0.118852 | − | 0.826631i | ||||
\(896\) | 3.88344 | + | 10.6989i | 0.129737 | + | 0.357424i | ||||
\(897\) | 4.84699 | − | 30.9836i | 0.161836 | − | 1.03451i | ||||
\(898\) | 1.19411 | − | 2.06826i | 0.0398480 | − | 0.0690188i | ||||
\(899\) | 4.03887 | − | 1.61692i | 0.134704 | − | 0.0539273i | ||||
\(900\) | −2.06927 | + | 2.90589i | −0.0689758 | + | 0.0968630i | ||||
\(901\) | −17.7759 | + | 16.9493i | −0.592200 | + | 0.564662i | ||||
\(902\) | 0.420932 | + | 0.485781i | 0.0140155 | + | 0.0161747i | ||||
\(903\) | 10.7773 | − | 1.19237i | 0.358645 | − | 0.0396796i | ||||
\(904\) | −7.54350 | − | 4.84791i | −0.250893 | − | 0.161239i | ||||
\(905\) | 5.26671 | + | 7.39606i | 0.175071 | + | 0.245853i | ||||
\(906\) | −0.979601 | − | 0.188803i | −0.0325450 | − | 0.00627254i | ||||
\(907\) | 44.3355 | + | 22.8565i | 1.47214 | + | 0.758938i | 0.992923 | − | 0.118761i | \(-0.0378922\pi\) |
0.479212 | + | 0.877699i | \(0.340922\pi\) | |||||||
\(908\) | 4.66649 | + | 1.86818i | 0.154863 | + | 0.0619977i | ||||
\(909\) | 1.82304 | + | 12.6795i | 0.0604663 | + | 0.420552i | ||||
\(910\) | 2.69133 | − | 1.12454i | 0.0892168 | − | 0.0372782i | ||||
\(911\) | −16.6589 | + | 19.2254i | −0.551934 | + | 0.636966i | −0.961333 | − | 0.275390i | \(-0.911193\pi\) |
0.409399 | + | 0.912356i | \(0.365739\pi\) | |||||||
\(912\) | −6.50753 | − | 9.13855i | −0.215486 | − | 0.302608i | ||||
\(913\) | 0.288268 | − | 6.05149i | 0.00954028 | − | 0.200275i | ||||
\(914\) | −3.14451 | − | 2.99829i | −0.104011 | − | 0.0991745i | ||||
\(915\) | −17.8133 | + | 3.43323i | −0.588889 | + | 0.113499i | ||||
\(916\) | 15.2387 | + | 4.47449i | 0.503501 | + | 0.147841i | ||||
\(917\) | −17.8511 | + | 17.5393i | −0.589495 | + | 0.579198i | ||||
\(918\) | 0.246364 | − | 1.71350i | 0.00813123 | − | 0.0565539i | ||||
\(919\) | −14.7617 | + | 25.5681i | −0.486945 | + | 0.843413i | −0.999887 | − | 0.0150099i | \(-0.995222\pi\) |
0.512943 | + | 0.858423i | \(0.328555\pi\) | |||||||
\(920\) | −1.56447 | + | 4.34543i | −0.0515790 | + | 0.143264i | ||||
\(921\) | 5.05027 | + | 8.74733i | 0.166412 | + | 0.288234i | ||||
\(922\) | 1.54376 | + | 1.21403i | 0.0508411 | + | 0.0399819i | ||||
\(923\) | 8.25130 | + | 18.0678i | 0.271595 | + | 0.594710i | ||||
\(924\) | −8.61040 | + | 5.71773i | −0.283262 | + | 0.188100i | ||||
\(925\) | −0.543726 | − | 0.627493i | −0.0178776 | − | 0.0206319i | ||||
\(926\) | −0.709345 | + | 2.92396i | −0.0233105 | + | 0.0960873i | ||||
\(927\) | 0.430364 | − | 9.03446i | 0.0141350 | − | 0.296730i | ||||
\(928\) | 1.95148 | − | 0.186344i | 0.0640604 | − | 0.00611703i | ||||
\(929\) | −4.15108 | − | 11.9937i | −0.136192 | − | 0.393502i | 0.856196 | − | 0.516652i | \(-0.172822\pi\) |
−0.992388 | + | 0.123149i | \(0.960701\pi\) | |||||||
\(930\) | 1.05707 | − | 0.679337i | 0.0346627 | − | 0.0222764i | ||||
\(931\) | 2.90835 | − | 13.7788i | 0.0953172 | − | 0.451583i | ||||
\(932\) | −3.02518 | − | 21.0406i | −0.0990930 | − | 0.689207i | ||||
\(933\) | 0.969196 | + | 20.3459i | 0.0317300 | + | 0.666095i | ||||
\(934\) | 5.09368 | + | 0.981726i | 0.166670 | + | 0.0321231i | ||||
\(935\) | −5.34482 | + | 0.510368i | −0.174794 | + | 0.0166908i | ||||
\(936\) | 2.09002 | − | 1.07748i | 0.0683145 | − | 0.0352186i | ||||
\(937\) | −29.6027 | + | 8.69213i | −0.967077 | + | 0.283959i | −0.726880 | − | 0.686765i | \(-0.759030\pi\) |
−0.240197 | + | 0.970724i | \(0.577212\pi\) | |||||||
\(938\) | −5.05235 | + | 0.0757384i | −0.164965 | + | 0.00247295i | ||||
\(939\) | −12.5720 | − | 3.69146i | −0.410270 | − | 0.120466i | ||||
\(940\) | 25.4671 | + | 2.43181i | 0.830644 | + | 0.0793168i | ||||
\(941\) | 5.16712 | − | 2.06860i | 0.168443 | − | 0.0674345i | −0.285908 | − | 0.958257i | \(-0.592295\pi\) |
0.454351 | + | 0.890823i | \(0.349871\pi\) | |||||||
\(942\) | 1.09013 | + | 1.88816i | 0.0355183 | + | 0.0615195i | ||||
\(943\) | 9.28465 | + | 13.3862i | 0.302350 | + | 0.435913i | ||||
\(944\) | −38.4819 | −1.25248 | ||||||||
\(945\) | −25.7353 | + | 5.36134i | −0.837168 | + | 0.174405i | ||||
\(946\) | 0.224528 | + | 0.491649i | 0.00730005 | + | 0.0159849i | ||||
\(947\) | 16.3702 | − | 15.6090i | 0.531961 | − | 0.507224i | −0.375806 | − | 0.926698i | \(-0.622634\pi\) |
0.907767 | + | 0.419474i | \(0.137786\pi\) | |||||||
\(948\) | 11.5367 | − | 33.3332i | 0.374696 | − | 1.08261i | ||||
\(949\) | −52.2079 | − | 49.7802i | −1.69474 | − | 1.61593i | ||||
\(950\) | −0.470958 | + | 0.242796i | −0.0152799 | + | 0.00787734i | ||||
\(951\) | 0.790058 | − | 1.72999i | 0.0256194 | − | 0.0560986i | ||||
\(952\) | 2.50432 | − | 2.03090i | 0.0811655 | − | 0.0658220i | ||||
\(953\) | −32.0121 | + | 20.5729i | −1.03697 | + | 0.666422i | −0.944236 | − | 0.329269i | \(-0.893198\pi\) |
−0.0927362 | + | 0.995691i | \(0.529561\pi\) | |||||||
\(954\) | −1.32910 | − | 0.532092i | −0.0430313 | − | 0.0172271i | ||||
\(955\) | −21.0323 | + | 16.5400i | −0.680589 | + | 0.535221i | ||||
\(956\) | −46.0649 | − | 23.7481i | −1.48985 | − | 0.768069i | ||||
\(957\) | 0.775067 | + | 2.23941i | 0.0250543 | + | 0.0723898i | ||||
\(958\) | −0.346705 | + | 0.759179i | −0.0112015 | + | 0.0245279i | ||||
\(959\) | −42.3567 | − | 39.1919i | −1.36777 | − | 1.26557i | ||||
\(960\) | −18.2589 | + | 5.36129i | −0.589302 | + | 0.173035i | ||||
\(961\) | −17.5700 | + | 3.38634i | −0.566775 | + | 0.109237i | ||||
\(962\) | 0.0642064 | + | 0.264662i | 0.00207010 | + | 0.00853306i | ||||
\(963\) | −0.831728 | + | 1.16800i | −0.0268021 | + | 0.0376382i | ||||
\(964\) | −17.5698 | − | 13.8171i | −0.565886 | − | 0.445018i | ||||
\(965\) | 31.1535 | 1.00287 | ||||||||
\(966\) | 2.22490 | − | 1.15438i | 0.0715850 | − | 0.0371414i | ||||
\(967\) | 47.5775 | 1.52999 | 0.764995 | − | 0.644036i | \(-0.222741\pi\) | ||||
0.764995 | + | 0.644036i | \(0.222741\pi\) | |||||||
\(968\) | 3.92541 | + | 3.08698i | 0.126167 | + | 0.0992192i | ||||
\(969\) | −3.72277 | + | 5.22790i | −0.119593 | + | 0.167944i | ||||
\(970\) | −0.100547 | − | 0.414459i | −0.00322836 | − | 0.0133075i | ||||
\(971\) | −48.9070 | + | 9.42606i | −1.56950 | + | 0.302497i | −0.898505 | − | 0.438964i | \(-0.855346\pi\) |
−0.670997 | + | 0.741460i | \(0.734134\pi\) | |||||||
\(972\) | −17.8202 | + | 5.23248i | −0.571582 | + | 0.167832i | ||||
\(973\) | 5.61704 | − | 1.74118i | 0.180074 | − | 0.0558197i | ||||
\(974\) | 0.153894 | − | 0.336981i | 0.00493109 | − | 0.0107976i | ||||
\(975\) | −4.09137 | − | 11.8212i | −0.131029 | − | 0.378583i | ||||
\(976\) | −24.8597 | − | 12.8161i | −0.795739 | − | 0.410232i | ||||
\(977\) | 40.5989 | − | 31.9274i | 1.29888 | − | 1.02145i | 0.301182 | − | 0.953567i | \(-0.402619\pi\) |
0.997693 | − | 0.0678801i | \(-0.0216235\pi\) | |||||||
\(978\) | −2.45569 | − | 0.983108i | −0.0785242 | − | 0.0314363i | ||||
\(979\) | −10.1807 | + | 6.54273i | −0.325376 | + | 0.209107i | ||||
\(980\) | −20.8825 | − | 12.5522i | −0.667068 | − | 0.400967i | ||||
\(981\) | −0.464520 | + | 1.01716i | −0.0148310 | + | 0.0324753i | ||||
\(982\) | −1.90198 | + | 0.980540i | −0.0606947 | + | 0.0312903i | ||||
\(983\) | −22.2447 | − | 21.2103i | −0.709496 | − | 0.676503i | 0.246746 | − | 0.969080i | \(-0.420639\pi\) |
−0.956242 | + | 0.292577i | \(0.905487\pi\) | |||||||
\(984\) | 0.873734 | − | 2.52449i | 0.0278536 | − | 0.0804777i | ||||
\(985\) | −33.7058 | + | 32.1384i | −1.07396 | + | 1.02402i | ||||
\(986\) | −0.152816 | − | 0.334620i | −0.00486664 | − | 0.0106565i | ||||
\(987\) | −18.5857 | − | 20.8104i | −0.591589 | − | 0.662402i | ||||
\(988\) | −18.1634 | −0.577855 | ||||||||
\(989\) | 4.31973 | + | 12.9995i | 0.137359 | + | 0.413361i | ||||
\(990\) | −0.156480 | − | 0.271032i | −0.00497327 | − | 0.00861396i | ||||
\(991\) | 2.63135 | − | 1.05343i | 0.0835876 | − | 0.0334634i | −0.329492 | − | 0.944158i | \(-0.606877\pi\) |
0.413079 | + | 0.910695i | \(0.364453\pi\) | |||||||
\(992\) | 5.87915 | + | 0.561390i | 0.186663 | + | 0.0178242i | ||||
\(993\) | 12.3787 | + | 3.63471i | 0.392826 | + | 0.115344i | ||||
\(994\) | −0.773090 | + | 1.38662i | −0.0245209 | + | 0.0439810i | ||||
\(995\) | 39.9331 | − | 11.7254i | 1.26596 | − | 0.371720i | ||||
\(996\) | −11.1366 | + | 5.74130i | −0.352876 | + | 0.181920i | ||||
\(997\) | −8.88262 | + | 0.848187i | −0.281315 | + | 0.0268624i | −0.234760 | − | 0.972053i | \(-0.575430\pi\) |
−0.0465553 | + | 0.998916i | \(0.514824\pi\) | |||||||
\(998\) | 5.70676 | + | 1.09989i | 0.180644 | + | 0.0348164i | ||||
\(999\) | −0.116787 | − | 2.45167i | −0.00369499 | − | 0.0775673i |
(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 | 161.2.m.a.100.8 | yes | 280 | |
7.4 | even | 3 | inner | 161.2.m.a.123.7 | yes | 280 | |
23.3 | even | 11 | inner | 161.2.m.a.72.7 | ✓ | 280 | |
161.95 | even | 33 | inner | 161.2.m.a.95.8 | yes | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
161.2.m.a.72.7 | ✓ | 280 | 23.3 | even | 11 | inner | |
161.2.m.a.95.8 | yes | 280 | 161.95 | even | 33 | inner | |
161.2.m.a.100.8 | yes | 280 | 1.1 | even | 1 | trivial | |
161.2.m.a.123.7 | yes | 280 | 7.4 | even | 3 | inner |