Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [185,2,Mod(8,185)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(185, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("185.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 185 = 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 185.u (of order \(12\), degree \(4\), 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: | \(1.47723243739\) |
Analytic rank: | \(0\) |
Dimension: | \(68\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 8.7 | ||
Character | \(\chi\) | \(=\) | 185.8 |
Dual form | 185.2.u.a.162.7 |
$q$-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 \(\left(\mathbb{Z}/185\mathbb{Z}\right)^\times\).
\(n\) | \(76\) | \(112\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.713738 | + | 0.412077i | −0.504689 | + | 0.291382i | −0.730648 | − | 0.682755i | \(-0.760782\pi\) |
0.225959 | + | 0.974137i | \(0.427448\pi\) | |||||||
\(3\) | 0.475172 | + | 1.77336i | 0.274340 | + | 1.02385i | 0.956282 | + | 0.292446i | \(0.0944691\pi\) |
−0.681942 | + | 0.731407i | \(0.738864\pi\) | |||||||
\(4\) | −0.660386 | + | 1.14382i | −0.330193 | + | 0.571911i | ||||
\(5\) | 2.23300 | − | 0.117085i | 0.998628 | − | 0.0523621i | ||||
\(6\) | −1.06991 | − | 1.06991i | −0.436789 | − | 0.436789i | ||||
\(7\) | 0.320840 | + | 1.19739i | 0.121266 | + | 0.452571i | 0.999679 | − | 0.0253311i | \(-0.00806402\pi\) |
−0.878413 | + | 0.477902i | \(0.841397\pi\) | |||||||
\(8\) | − | 2.73682i | − | 0.967614i | ||||||
\(9\) | −0.320958 | + | 0.185305i | −0.106986 | + | 0.0617683i | ||||
\(10\) | −1.54553 | + | 1.00374i | −0.488739 | + | 0.317409i | ||||
\(11\) | 4.12374i | 1.24335i | 0.783273 | + | 0.621677i | \(0.213548\pi\) | ||||
−0.783273 | + | 0.621677i | \(0.786452\pi\) | |||||||
\(12\) | −2.34221 | − | 0.627593i | −0.676138 | − | 0.181171i | ||||
\(13\) | −4.26154 | − | 2.46040i | −1.18194 | − | 0.682393i | −0.225477 | − | 0.974248i | \(-0.572394\pi\) |
−0.956463 | + | 0.291855i | \(0.905727\pi\) | |||||||
\(14\) | −0.722412 | − | 0.722412i | −0.193073 | − | 0.193073i | ||||
\(15\) | 1.26869 | + | 3.90429i | 0.327575 | + | 1.00808i | ||||
\(16\) | −0.192990 | − | 0.334268i | −0.0482475 | − | 0.0835671i | ||||
\(17\) | −0.998860 | − | 1.73008i | −0.242259 | − | 0.419605i | 0.719098 | − | 0.694908i | \(-0.244555\pi\) |
−0.961357 | + | 0.275303i | \(0.911222\pi\) | |||||||
\(18\) | 0.152720 | − | 0.264518i | 0.0359964 | − | 0.0623475i | ||||
\(19\) | 0.608896 | + | 2.27243i | 0.139690 | + | 0.521331i | 0.999934 | + | 0.0114491i | \(0.00364443\pi\) |
−0.860244 | + | 0.509882i | \(0.829689\pi\) | |||||||
\(20\) | −1.34072 | + | 2.63148i | −0.299793 | + | 0.588416i | ||||
\(21\) | −1.97096 | + | 1.13793i | −0.430098 | + | 0.248317i | ||||
\(22\) | −1.69930 | − | 2.94327i | −0.362291 | − | 0.627507i | ||||
\(23\) | − | 0.794336i | − | 0.165631i | −0.996565 | − | 0.0828153i | \(-0.973609\pi\) | ||
0.996565 | − | 0.0828153i | \(-0.0263911\pi\) | |||||||
\(24\) | 4.85339 | − | 1.30046i | 0.990694 | − | 0.265456i | ||||
\(25\) | 4.97258 | − | 0.522903i | 0.994516 | − | 0.104581i | ||||
\(26\) | 4.05550 | 0.795349 | ||||||||
\(27\) | 3.41346 | + | 3.41346i | 0.656920 | + | 0.656920i | ||||
\(28\) | −1.58148 | − | 0.423756i | −0.298871 | − | 0.0800824i | ||||
\(29\) | −1.67939 | − | 1.67939i | −0.311856 | − | 0.311856i | 0.533772 | − | 0.845628i | \(-0.320774\pi\) |
−0.845628 | + | 0.533772i | \(0.820774\pi\) | |||||||
\(30\) | −2.51438 | − | 2.26384i | −0.459061 | − | 0.413319i | ||||
\(31\) | 6.42495 | − | 6.42495i | 1.15396 | − | 1.15396i | 0.168203 | − | 0.985752i | \(-0.446203\pi\) |
0.985752 | − | 0.168203i | \(-0.0537965\pi\) | |||||||
\(32\) | 5.01581 | + | 2.89588i | 0.886678 | + | 0.511924i | ||||
\(33\) | −7.31290 | + | 1.95948i | −1.27301 | + | 0.341102i | ||||
\(34\) | 1.42585 | + | 0.823214i | 0.244531 | + | 0.141180i | ||||
\(35\) | 0.856632 | + | 2.63621i | 0.144797 | + | 0.445600i | ||||
\(36\) | − | 0.489491i | − | 0.0815818i | ||||||
\(37\) | −6.00606 | + | 0.962921i | −0.987391 | + | 0.158303i | ||||
\(38\) | −1.37101 | − | 1.37101i | −0.222407 | − | 0.222407i | ||||
\(39\) | 2.33823 | − | 8.72639i | 0.374416 | − | 1.39734i | ||||
\(40\) | −0.320442 | − | 6.11133i | −0.0506663 | − | 0.966286i | ||||
\(41\) | 9.74356 | + | 5.62545i | 1.52169 | + | 0.878547i | 0.999672 | + | 0.0256114i | \(0.00815325\pi\) |
0.522016 | + | 0.852936i | \(0.325180\pi\) | |||||||
\(42\) | 0.937830 | − | 1.62437i | 0.144710 | − | 0.250646i | ||||
\(43\) | − | 11.4197i | − | 1.74149i | −0.491732 | − | 0.870747i | \(-0.663636\pi\) | ||
0.491732 | − | 0.870747i | \(-0.336364\pi\) | |||||||
\(44\) | −4.71682 | − | 2.72326i | −0.711088 | − | 0.410547i | ||||
\(45\) | −0.695002 | + | 0.451365i | −0.103605 | + | 0.0672856i | ||||
\(46\) | 0.327327 | + | 0.566948i | 0.0482618 | + | 0.0835919i | ||||
\(47\) | −2.19390 | + | 2.19390i | −0.320014 | + | 0.320014i | −0.848772 | − | 0.528758i | \(-0.822658\pi\) |
0.528758 | + | 0.848772i | \(0.322658\pi\) | |||||||
\(48\) | 0.501076 | − | 0.501076i | 0.0723241 | − | 0.0723241i | ||||
\(49\) | 4.73137 | − | 2.73166i | 0.675910 | − | 0.390237i | ||||
\(50\) | −3.33364 | + | 2.42230i | −0.471448 | + | 0.342565i | ||||
\(51\) | 2.59343 | − | 2.59343i | 0.363152 | − | 0.363152i | ||||
\(52\) | 5.62853 | − | 3.24963i | 0.780536 | − | 0.450643i | ||||
\(53\) | −0.938365 | + | 3.50202i | −0.128894 | + | 0.481040i | −0.999949 | − | 0.0101468i | \(-0.996770\pi\) |
0.871054 | + | 0.491187i | \(0.163437\pi\) | |||||||
\(54\) | −3.84292 | − | 1.02971i | −0.522955 | − | 0.140125i | ||||
\(55\) | 0.482829 | + | 9.20831i | 0.0651047 | + | 1.24165i | ||||
\(56\) | 3.27705 | − | 0.878082i | 0.437914 | − | 0.117339i | ||||
\(57\) | −3.74052 | + | 2.15959i | −0.495444 | + | 0.286045i | ||||
\(58\) | 1.89069 | + | 0.506608i | 0.248259 | + | 0.0665209i | ||||
\(59\) | −1.41608 | − | 0.379437i | −0.184358 | − | 0.0493985i | 0.165459 | − | 0.986217i | \(-0.447089\pi\) |
−0.349817 | + | 0.936818i | \(0.613756\pi\) | |||||||
\(60\) | −5.30364 | − | 1.12718i | −0.684696 | − | 0.145518i | ||||
\(61\) | −1.72489 | − | 6.43736i | −0.220849 | − | 0.824220i | −0.984025 | − | 0.178029i | \(-0.943028\pi\) |
0.763176 | − | 0.646190i | \(-0.223639\pi\) | |||||||
\(62\) | −1.93816 | + | 7.23330i | −0.246146 | + | 0.918631i | ||||
\(63\) | −0.324858 | − | 0.324858i | −0.0409283 | − | 0.0409283i | ||||
\(64\) | −4.00134 | −0.500167 | ||||||||
\(65\) | −9.80411 | − | 4.99512i | −1.21605 | − | 0.619568i | ||||
\(66\) | 4.41203 | − | 4.41203i | 0.543083 | − | 0.543083i | ||||
\(67\) | 5.70687 | − | 1.52915i | 0.697205 | − | 0.186816i | 0.107227 | − | 0.994235i | \(-0.465803\pi\) |
0.589978 | + | 0.807419i | \(0.299136\pi\) | |||||||
\(68\) | 2.63853 | 0.319969 | ||||||||
\(69\) | 1.40865 | − | 0.377446i | 0.169581 | − | 0.0454392i | ||||
\(70\) | −1.69773 | − | 1.52856i | −0.202918 | − | 0.182698i | ||||
\(71\) | −3.30595 | + | 5.72607i | −0.392344 | + | 0.679559i | −0.992758 | − | 0.120130i | \(-0.961669\pi\) |
0.600414 | + | 0.799689i | \(0.295002\pi\) | |||||||
\(72\) | 0.507147 | + | 0.878404i | 0.0597679 | + | 0.103521i | ||||
\(73\) | 5.14518 | − | 5.14518i | 0.602197 | − | 0.602197i | −0.338698 | − | 0.940895i | \(-0.609986\pi\) |
0.940895 | + | 0.338698i | \(0.109986\pi\) | |||||||
\(74\) | 3.88996 | − | 3.16223i | 0.452198 | − | 0.367602i | ||||
\(75\) | 3.29013 | + | 8.56973i | 0.379911 | + | 0.989547i | ||||
\(76\) | −3.00136 | − | 0.804213i | −0.344280 | − | 0.0922495i | ||||
\(77\) | −4.93773 | + | 1.32306i | −0.562706 | + | 0.150777i | ||||
\(78\) | 1.92706 | + | 7.19188i | 0.218196 | + | 0.814320i | ||||
\(79\) | 2.30362 | + | 8.59723i | 0.259178 | + | 0.967264i | 0.965718 | + | 0.259592i | \(0.0835880\pi\) |
−0.706541 | + | 0.707672i | \(0.749745\pi\) | |||||||
\(80\) | −0.470084 | − | 0.723825i | −0.0525570 | − | 0.0809261i | ||||
\(81\) | −4.98724 | + | 8.63815i | −0.554138 | + | 0.959795i | ||||
\(82\) | −9.27246 | −1.02397 | ||||||||
\(83\) | 0.310366 | − | 1.15830i | 0.0340671 | − | 0.127140i | −0.946798 | − | 0.321828i | \(-0.895703\pi\) |
0.980865 | + | 0.194688i | \(0.0623694\pi\) | |||||||
\(84\) | − | 3.00590i | − | 0.327970i | ||||||
\(85\) | −2.43302 | − | 3.74631i | −0.263898 | − | 0.406344i | ||||
\(86\) | 4.70581 | + | 8.15069i | 0.507440 | + | 0.878912i | ||||
\(87\) | 2.18018 | − | 3.77618i | 0.233740 | − | 0.404849i | ||||
\(88\) | 11.2860 | 1.20309 | ||||||||
\(89\) | −1.87621 | + | 7.00209i | −0.198877 | + | 0.742220i | 0.792352 | + | 0.610065i | \(0.208857\pi\) |
−0.991229 | + | 0.132156i | \(0.957810\pi\) | |||||||
\(90\) | 0.310052 | − | 0.608550i | 0.0326823 | − | 0.0641469i | ||||
\(91\) | 1.57879 | − | 5.89213i | 0.165502 | − | 0.617663i | ||||
\(92\) | 0.908579 | + | 0.524568i | 0.0947259 | + | 0.0546900i | ||||
\(93\) | 14.4467 | + | 8.34083i | 1.49806 | + | 0.864904i | ||||
\(94\) | 0.661816 | − | 2.46993i | 0.0682611 | − | 0.254754i | ||||
\(95\) | 1.62573 | + | 5.00305i | 0.166797 | + | 0.513302i | ||||
\(96\) | −2.75208 | + | 10.2709i | −0.280883 | + | 1.04827i | ||||
\(97\) | −11.7662 | −1.19468 | −0.597338 | − | 0.801990i | \(-0.703775\pi\) | ||||
−0.597338 | + | 0.801990i | \(0.703775\pi\) | |||||||
\(98\) | −2.25131 | + | 3.89938i | −0.227416 | + | 0.393896i | ||||
\(99\) | −0.764149 | − | 1.32355i | −0.0767999 | − | 0.133021i | ||||
\(100\) | −2.68571 | + | 6.03306i | −0.268571 | + | 0.603306i | ||||
\(101\) | − | 3.14602i | − | 0.313041i | −0.987675 | − | 0.156521i | \(-0.949972\pi\) | ||
0.987675 | − | 0.156521i | \(-0.0500277\pi\) | |||||||
\(102\) | −0.782335 | + | 2.91972i | −0.0774628 | + | 0.289095i | ||||
\(103\) | −7.98036 | −0.786328 | −0.393164 | − | 0.919468i | \(-0.628620\pi\) | ||||
−0.393164 | + | 0.919468i | \(0.628620\pi\) | |||||||
\(104\) | −6.73369 | + | 11.6631i | −0.660293 | + | 1.14366i | ||||
\(105\) | −4.26791 | + | 2.77177i | −0.416505 | + | 0.270497i | ||||
\(106\) | −0.773356 | − | 2.88620i | −0.0751150 | − | 0.280333i | ||||
\(107\) | 0.559856 | + | 2.08941i | 0.0541233 | + | 0.201991i | 0.987693 | − | 0.156405i | \(-0.0499905\pi\) |
−0.933570 | + | 0.358396i | \(0.883324\pi\) | |||||||
\(108\) | −6.15858 | + | 1.65019i | −0.592610 | + | 0.158789i | ||||
\(109\) | −10.4305 | − | 2.79484i | −0.999059 | − | 0.267697i | −0.278008 | − | 0.960579i | \(-0.589674\pi\) |
−0.721051 | + | 0.692882i | \(0.756341\pi\) | |||||||
\(110\) | −4.13914 | − | 6.37336i | −0.394652 | − | 0.607676i | ||||
\(111\) | −4.56152 | − | 10.1934i | −0.432960 | − | 0.967513i | ||||
\(112\) | 0.338331 | − | 0.338331i | 0.0319692 | − | 0.0319692i | ||||
\(113\) | −1.07951 | − | 1.86976i | −0.101552 | − | 0.175892i | 0.810773 | − | 0.585361i | \(-0.199047\pi\) |
−0.912324 | + | 0.409469i | \(0.865714\pi\) | |||||||
\(114\) | 1.77983 | − | 3.08276i | 0.166697 | − | 0.288727i | ||||
\(115\) | −0.0930051 | − | 1.77375i | −0.00867277 | − | 0.165403i | ||||
\(116\) | 3.02998 | − | 0.811879i | 0.281326 | − | 0.0753811i | ||||
\(117\) | 1.82370 | 0.168601 | ||||||||
\(118\) | 1.16707 | − | 0.312715i | 0.107437 | − | 0.0287877i | ||||
\(119\) | 1.75110 | − | 1.75110i | 0.160523 | − | 0.160523i | ||||
\(120\) | 10.6854 | − | 3.47219i | 0.975435 | − | 0.316966i | ||||
\(121\) | −6.00524 | −0.545931 | ||||||||
\(122\) | 3.88380 | + | 3.88380i | 0.351623 | + | 0.351623i | ||||
\(123\) | −5.34610 | + | 19.9519i | −0.482042 | + | 1.79901i | ||||
\(124\) | 3.10605 | + | 11.5919i | 0.278932 | + | 1.04099i | ||||
\(125\) | 11.0426 | − | 1.74986i | 0.987676 | − | 0.156512i | ||||
\(126\) | 0.365730 | + | 0.0979971i | 0.0325818 | + | 0.00873027i | ||||
\(127\) | 3.65534 | + | 0.979445i | 0.324359 | + | 0.0869117i | 0.417324 | − | 0.908758i | \(-0.362968\pi\) |
−0.0929655 | + | 0.995669i | \(0.529635\pi\) | |||||||
\(128\) | −7.17571 | + | 4.14290i | −0.634249 | + | 0.366184i | ||||
\(129\) | 20.2514 | − | 5.42633i | 1.78303 | − | 0.477762i | ||||
\(130\) | 9.05593 | − | 0.474839i | 0.794258 | − | 0.0416461i | ||||
\(131\) | −9.54260 | − | 2.55693i | −0.833741 | − | 0.223400i | −0.183396 | − | 0.983039i | \(-0.558709\pi\) |
−0.650345 | + | 0.759639i | \(0.725376\pi\) | |||||||
\(132\) | 2.58803 | − | 9.65866i | 0.225259 | − | 0.840679i | ||||
\(133\) | −2.52563 | + | 1.45817i | −0.219000 | + | 0.126440i | ||||
\(134\) | −3.44308 | + | 3.44308i | −0.297437 | + | 0.297437i | ||||
\(135\) | 8.02191 | + | 7.22258i | 0.690416 | + | 0.621621i | ||||
\(136\) | −4.73491 | + | 2.73370i | −0.406016 | + | 0.234413i | ||||
\(137\) | 14.9643 | − | 14.9643i | 1.27849 | − | 1.27849i | 0.336976 | − | 0.941513i | \(-0.390596\pi\) |
0.941513 | − | 0.336976i | \(-0.109404\pi\) | |||||||
\(138\) | −0.849868 | + | 0.849868i | −0.0723456 | + | 0.0723456i | ||||
\(139\) | −11.0779 | − | 19.1876i | −0.939619 | − | 1.62747i | −0.766183 | − | 0.642623i | \(-0.777846\pi\) |
−0.173436 | − | 0.984845i | \(-0.555487\pi\) | |||||||
\(140\) | −3.58106 | − | 0.761079i | −0.302655 | − | 0.0643230i | ||||
\(141\) | −4.93307 | − | 2.84811i | −0.415440 | − | 0.239854i | ||||
\(142\) | − | 5.44922i | − | 0.457288i | ||||||
\(143\) | 10.1461 | − | 17.5735i | 0.848457 | − | 1.46957i | ||||
\(144\) | 0.123883 | + | 0.0715239i | 0.0103236 | + | 0.00596033i | ||||
\(145\) | −3.94672 | − | 3.55346i | −0.327757 | − | 0.295098i | ||||
\(146\) | −1.55210 | + | 5.79251i | −0.128453 | + | 0.479392i | ||||
\(147\) | 7.09244 | + | 7.09244i | 0.584975 | + | 0.584975i | ||||
\(148\) | 2.86491 | − | 7.50576i | 0.235494 | − | 0.616970i | ||||
\(149\) | − | 15.3831i | − | 1.26024i | −0.776499 | − | 0.630118i | \(-0.783006\pi\) | ||
0.776499 | − | 0.630118i | \(-0.216994\pi\) | |||||||
\(150\) | −5.87967 | − | 4.76076i | −0.480073 | − | 0.388714i | ||||
\(151\) | −14.2305 | − | 8.21599i | −1.15806 | − | 0.668608i | −0.207224 | − | 0.978294i | \(-0.566443\pi\) |
−0.950839 | + | 0.309686i | \(0.899776\pi\) | |||||||
\(152\) | 6.21925 | − | 1.66644i | 0.504447 | − | 0.135166i | ||||
\(153\) | 0.641183 | + | 0.370187i | 0.0518366 | + | 0.0299279i | ||||
\(154\) | 2.97904 | − | 2.97904i | 0.240058 | − | 0.240058i | ||||
\(155\) | 13.5947 | − | 15.0992i | 1.09195 | − | 1.21280i | ||||
\(156\) | 8.43730 | + | 8.43730i | 0.675524 | + | 0.675524i | ||||
\(157\) | −8.19871 | − | 2.19684i | −0.654328 | − | 0.175327i | −0.0836433 | − | 0.996496i | \(-0.526656\pi\) |
−0.570685 | + | 0.821169i | \(0.693322\pi\) | |||||||
\(158\) | −5.18690 | − | 5.18690i | −0.412647 | − | 0.412647i | ||||
\(159\) | −6.65625 | −0.527875 | ||||||||
\(160\) | 11.5394 | + | 5.87922i | 0.912267 | + | 0.464793i | ||||
\(161\) | 0.951131 | − | 0.254855i | 0.0749596 | − | 0.0200854i | ||||
\(162\) | − | 8.22050i | − | 0.645863i | ||||||
\(163\) | −0.474073 | − | 0.821119i | −0.0371323 | − | 0.0643150i | 0.846862 | − | 0.531813i | \(-0.178489\pi\) |
−0.883994 | + | 0.467498i | \(0.845156\pi\) | |||||||
\(164\) | −12.8690 | + | 7.42993i | −1.00490 | + | 0.580180i | ||||
\(165\) | −16.1003 | + | 5.23176i | −1.25340 | + | 0.407292i | ||||
\(166\) | 0.255789 | + | 0.954618i | 0.0198531 | + | 0.0740928i | ||||
\(167\) | 0.925739 | − | 1.60343i | 0.0716358 | − | 0.124077i | −0.827983 | − | 0.560754i | \(-0.810511\pi\) |
0.899618 | + | 0.436677i | \(0.143845\pi\) | |||||||
\(168\) | 3.11432 | + | 5.39416i | 0.240275 | + | 0.416168i | ||||
\(169\) | 5.60717 | + | 9.71191i | 0.431321 | + | 0.747070i | ||||
\(170\) | 3.28030 | + | 1.67129i | 0.251588 | + | 0.128182i | ||||
\(171\) | −0.616522 | − | 0.616522i | −0.0471467 | − | 0.0471467i | ||||
\(172\) | 13.0621 | + | 7.54143i | 0.995979 | + | 0.575029i | ||||
\(173\) | −1.94070 | − | 0.520009i | −0.147549 | − | 0.0395356i | 0.184289 | − | 0.982872i | \(-0.441002\pi\) |
−0.331837 | + | 0.943337i | \(0.607669\pi\) | |||||||
\(174\) | 3.59360i | 0.272430i | ||||||||
\(175\) | 2.22152 | + | 5.78635i | 0.167931 | + | 0.437407i | ||||
\(176\) | 1.37844 | − | 0.795840i | 0.103903 | − | 0.0599887i | ||||
\(177\) | − | 2.69152i | − | 0.202307i | ||||||
\(178\) | −1.54628 | − | 5.77080i | −0.115899 | − | 0.432540i | ||||
\(179\) | 16.5221 | + | 16.5221i | 1.23492 | + | 1.23492i | 0.962052 | + | 0.272865i | \(0.0879712\pi\) |
0.272865 | + | 0.962052i | \(0.412029\pi\) | |||||||
\(180\) | −0.0573122 | − | 1.09303i | −0.00427180 | − | 0.0814699i | ||||
\(181\) | −0.609064 | + | 1.05493i | −0.0452713 | + | 0.0784123i | −0.887773 | − | 0.460281i | \(-0.847749\pi\) |
0.842502 | + | 0.538693i | \(0.181082\pi\) | |||||||
\(182\) | 1.30117 | + | 4.85602i | 0.0964488 | + | 0.359952i | ||||
\(183\) | 10.5962 | − | 6.11770i | 0.783292 | − | 0.452234i | ||||
\(184\) | −2.17396 | −0.160266 | ||||||||
\(185\) | −13.2988 | + | 2.85343i | −0.977747 | + | 0.209788i | ||||
\(186\) | −13.7482 | −1.00807 | ||||||||
\(187\) | 7.13438 | − | 4.11904i | 0.521718 | − | 0.301214i | ||||
\(188\) | −1.06061 | − | 3.95826i | −0.0773531 | − | 0.288686i | ||||
\(189\) | −2.99207 | + | 5.18241i | −0.217641 | + | 0.376965i | ||||
\(190\) | −3.22199 | − | 2.90094i | −0.233747 | − | 0.210456i | ||||
\(191\) | −5.47122 | − | 5.47122i | −0.395883 | − | 0.395883i | 0.480895 | − | 0.876778i | \(-0.340312\pi\) |
−0.876778 | + | 0.480895i | \(0.840312\pi\) | |||||||
\(192\) | −1.90132 | − | 7.09583i | −0.137216 | − | 0.512097i | ||||
\(193\) | 20.4352i | 1.47096i | 0.677546 | + | 0.735480i | \(0.263043\pi\) | ||||
−0.677546 | + | 0.735480i | \(0.736957\pi\) | |||||||
\(194\) | 8.39797 | − | 4.84857i | 0.602939 | − | 0.348107i | ||||
\(195\) | 4.19953 | − | 19.7598i | 0.300735 | − | 1.41503i | ||||
\(196\) | 7.21579i | 0.515414i | ||||||||
\(197\) | −26.8016 | − | 7.18146i | −1.90953 | − | 0.511658i | −0.993995 | − | 0.109426i | \(-0.965099\pi\) |
−0.915538 | − | 0.402232i | \(-0.868235\pi\) | |||||||
\(198\) | 1.09080 | + | 0.629776i | 0.0775201 | + | 0.0447562i | ||||
\(199\) | 12.8241 | + | 12.8241i | 0.909074 | + | 0.909074i | 0.996198 | − | 0.0871235i | \(-0.0277675\pi\) |
−0.0871235 | + | 0.996198i | \(0.527767\pi\) | |||||||
\(200\) | −1.43109 | − | 13.6091i | −0.101194 | − | 0.962308i | ||||
\(201\) | 5.42349 | + | 9.39375i | 0.382543 | + | 0.662584i | ||||
\(202\) | 1.29640 | + | 2.24544i | 0.0912146 | + | 0.157988i | ||||
\(203\) | 1.47207 | − | 2.54971i | 0.103319 | − | 0.178954i | ||||
\(204\) | 1.25375 | + | 4.67908i | 0.0877804 | + | 0.327601i | ||||
\(205\) | 22.4160 | + | 11.4208i | 1.56560 | + | 0.797663i | ||||
\(206\) | 5.69588 | − | 3.28852i | 0.396851 | − | 0.229122i | ||||
\(207\) | 0.147194 | + | 0.254948i | 0.0102307 | + | 0.0177201i | ||||
\(208\) | 1.89933i | 0.131695i | ||||||||
\(209\) | −9.37092 | + | 2.51093i | −0.648200 | + | 0.173685i | ||||
\(210\) | 1.90399 | − | 3.73702i | 0.131387 | − | 0.257879i | ||||
\(211\) | −18.6491 | −1.28386 | −0.641928 | − | 0.766765i | \(-0.721865\pi\) | ||||
−0.641928 | + | 0.766765i | \(0.721865\pi\) | |||||||
\(212\) | −3.38601 | − | 3.38601i | −0.232552 | − | 0.232552i | ||||
\(213\) | −11.7253 | − | 3.14179i | −0.803404 | − | 0.215272i | ||||
\(214\) | −1.26059 | − | 1.26059i | −0.0861720 | − | 0.0861720i | ||||
\(215\) | −1.33708 | − | 25.5003i | −0.0911883 | − | 1.73910i | ||||
\(216\) | 9.34203 | − | 9.34203i | 0.635645 | − | 0.635645i | ||||
\(217\) | 9.75456 | + | 5.63180i | 0.662182 | + | 0.382311i | ||||
\(218\) | 8.59632 | − | 2.30338i | 0.582216 | − | 0.156004i | ||||
\(219\) | 11.5691 | + | 6.67943i | 0.781768 | + | 0.451354i | ||||
\(220\) | −10.8515 | − | 5.52877i | −0.731609 | − | 0.372750i | ||||
\(221\) | 9.83039i | 0.661264i | ||||||||
\(222\) | 7.45618 | + | 5.39571i | 0.500426 | + | 0.362136i | ||||
\(223\) | 7.82604 | + | 7.82604i | 0.524071 | + | 0.524071i | 0.918798 | − | 0.394728i | \(-0.129161\pi\) |
−0.394728 | + | 0.918798i | \(0.629161\pi\) | |||||||
\(224\) | −1.85823 | + | 6.93499i | −0.124158 | + | 0.463364i | ||||
\(225\) | −1.49909 | + | 1.08927i | −0.0999394 | + | 0.0726182i | ||||
\(226\) | 1.54097 | + | 0.889680i | 0.102504 | + | 0.0591806i | ||||
\(227\) | 4.20907 | − | 7.29033i | 0.279366 | − | 0.483876i | −0.691861 | − | 0.722030i | \(-0.743209\pi\) |
0.971227 | + | 0.238154i | \(0.0765424\pi\) | |||||||
\(228\) | − | 5.70465i | − | 0.377800i | ||||||
\(229\) | −17.6546 | − | 10.1929i | −1.16665 | − | 0.673566i | −0.213762 | − | 0.976886i | \(-0.568572\pi\) |
−0.952889 | + | 0.303319i | \(0.901905\pi\) | |||||||
\(230\) | 0.797304 | + | 1.22767i | 0.0525726 | + | 0.0809501i | ||||
\(231\) | −4.69254 | − | 8.12771i | −0.308746 | − | 0.534764i | ||||
\(232\) | −4.59621 | + | 4.59621i | −0.301756 | + | 0.301756i | ||||
\(233\) | −6.42167 | + | 6.42167i | −0.420698 | + | 0.420698i | −0.885444 | − | 0.464746i | \(-0.846146\pi\) |
0.464746 | + | 0.885444i | \(0.346146\pi\) | |||||||
\(234\) | −1.30164 | + | 0.751504i | −0.0850911 | + | 0.0491274i | ||||
\(235\) | −4.64212 | + | 5.15586i | −0.302818 | + | 0.336331i | ||||
\(236\) | 1.36917 | − | 1.36917i | 0.0891252 | − | 0.0891252i | ||||
\(237\) | −14.1514 | + | 8.17032i | −0.919233 | + | 0.530719i | ||||
\(238\) | −0.528239 | + | 1.97142i | −0.0342407 | + | 0.127788i | ||||
\(239\) | −5.80797 | − | 1.55624i | −0.375686 | − | 0.100665i | 0.0660347 | − | 0.997817i | \(-0.478965\pi\) |
−0.441721 | + | 0.897152i | \(0.645632\pi\) | |||||||
\(240\) | 1.06023 | − | 1.17757i | 0.0684378 | − | 0.0760119i | ||||
\(241\) | −0.252833 | + | 0.0677464i | −0.0162864 | + | 0.00436393i | −0.266953 | − | 0.963710i | \(-0.586017\pi\) |
0.250667 | + | 0.968073i | \(0.419350\pi\) | |||||||
\(242\) | 4.28616 | − | 2.47462i | 0.275525 | − | 0.159074i | ||||
\(243\) | −3.69978 | − | 0.991354i | −0.237341 | − | 0.0635954i | ||||
\(244\) | 8.50228 | + | 2.27818i | 0.544303 | + | 0.145846i | ||||
\(245\) | 10.2453 | − | 6.65377i | 0.654549 | − | 0.425094i | ||||
\(246\) | −4.40601 | − | 16.4435i | −0.280917 | − | 1.04840i | ||||
\(247\) | 2.99626 | − | 11.1822i | 0.190647 | − | 0.711506i | ||||
\(248\) | −17.5840 | − | 17.5840i | −1.11658 | − | 1.11658i | ||||
\(249\) | 2.20157 | 0.139519 | ||||||||
\(250\) | −7.16041 | + | 5.79932i | −0.452864 | + | 0.366781i | ||||
\(251\) | −17.9819 | + | 17.9819i | −1.13500 | + | 1.13500i | −0.145672 | + | 0.989333i | \(0.546534\pi\) |
−0.989333 | + | 0.145672i | \(0.953466\pi\) | |||||||
\(252\) | 0.586112 | − | 0.157048i | 0.0369216 | − | 0.00989310i | ||||
\(253\) | 3.27564 | 0.205938 | ||||||||
\(254\) | −3.01256 | + | 0.807212i | −0.189025 | + | 0.0506490i | ||||
\(255\) | 5.48747 | − | 6.09477i | 0.343639 | − | 0.381669i | ||||
\(256\) | 7.41572 | − | 12.8444i | 0.463482 | − | 0.802775i | ||||
\(257\) | 7.05043 | + | 12.2117i | 0.439794 | + | 0.761745i | 0.997673 | − | 0.0681767i | \(-0.0217182\pi\) |
−0.557879 | + | 0.829922i | \(0.688385\pi\) | |||||||
\(258\) | −12.2181 | + | 12.2181i | −0.760665 | + | 0.760665i | ||||
\(259\) | −3.07998 | − | 6.88266i | −0.191380 | − | 0.427667i | ||||
\(260\) | 12.1880 | − | 7.91544i | 0.755869 | − | 0.490895i | ||||
\(261\) | 0.850214 | + | 0.227814i | 0.0526269 | + | 0.0141013i | ||||
\(262\) | 7.86457 | − | 2.10730i | 0.485875 | − | 0.130190i | ||||
\(263\) | 3.04678 | + | 11.3707i | 0.187872 | + | 0.701149i | 0.993997 | + | 0.109404i | \(0.0348942\pi\) |
−0.806125 | + | 0.591745i | \(0.798439\pi\) | |||||||
\(264\) | 5.36277 | + | 20.0141i | 0.330055 | + | 1.23178i | ||||
\(265\) | −1.68533 | + | 7.92989i | −0.103529 | + | 0.487129i | ||||
\(266\) | 1.20176 | − | 2.08151i | 0.0736845 | − | 0.127625i | ||||
\(267\) | −13.3088 | −0.814484 | ||||||||
\(268\) | −2.01966 | + | 7.53747i | −0.123370 | + | 0.460424i | ||||
\(269\) | 23.2856i | 1.41975i | 0.704328 | + | 0.709875i | \(0.251248\pi\) | ||||
−0.704328 | + | 0.709875i | \(0.748752\pi\) | |||||||
\(270\) | −8.70180 | − | 1.84939i | −0.529575 | − | 0.112550i | ||||
\(271\) | 3.22003 | + | 5.57726i | 0.195603 | + | 0.338794i | 0.947098 | − | 0.320944i | \(-0.104000\pi\) |
−0.751495 | + | 0.659739i | \(0.770667\pi\) | |||||||
\(272\) | −0.385540 | + | 0.667774i | −0.0233768 | + | 0.0404898i | ||||
\(273\) | 11.1991 | 0.677800 | ||||||||
\(274\) | −4.51416 | + | 16.8471i | −0.272710 | + | 1.01777i | ||||
\(275\) | 2.15632 | + | 20.5056i | 0.130031 | + | 1.23654i | ||||
\(276\) | −0.498520 | + | 1.86050i | −0.0300074 | + | 0.111989i | ||||
\(277\) | −15.9026 | − | 9.18139i | −0.955497 | − | 0.551656i | −0.0607125 | − | 0.998155i | \(-0.519337\pi\) |
−0.894784 | + | 0.446499i | \(0.852671\pi\) | |||||||
\(278\) | 15.8135 | + | 9.12992i | 0.948430 | + | 0.547576i | ||||
\(279\) | −0.871562 | + | 3.25271i | −0.0521790 | + | 0.194735i | ||||
\(280\) | 7.21484 | − | 2.34445i | 0.431169 | − | 0.140108i | ||||
\(281\) | 5.16431 | − | 19.2735i | 0.308077 | − | 1.14976i | −0.622188 | − | 0.782868i | \(-0.713756\pi\) |
0.930264 | − | 0.366890i | \(-0.119577\pi\) | |||||||
\(282\) | 4.69456 | 0.279557 | ||||||||
\(283\) | −5.55937 | + | 9.62911i | −0.330470 | + | 0.572391i | −0.982604 | − | 0.185713i | \(-0.940541\pi\) |
0.652134 | + | 0.758104i | \(0.273874\pi\) | |||||||
\(284\) | −4.36640 | − | 7.56283i | −0.259098 | − | 0.448771i | ||||
\(285\) | −8.09972 | + | 5.26032i | −0.479786 | + | 0.311595i | ||||
\(286\) | 16.7238i | 0.988901i | ||||||||
\(287\) | −3.60973 | + | 13.4717i | −0.213076 | + | 0.795210i | ||||
\(288\) | −2.14648 | −0.126483 | ||||||||
\(289\) | 6.50456 | − | 11.2662i | 0.382621 | − | 0.662719i | ||||
\(290\) | 4.28122 | + | 0.909884i | 0.251402 | + | 0.0534302i | ||||
\(291\) | −5.59096 | − | 20.8657i | −0.327748 | − | 1.22317i | ||||
\(292\) | 2.48736 | + | 9.28297i | 0.145562 | + | 0.543244i | ||||
\(293\) | 28.1127 | − | 7.53277i | 1.64236 | − | 0.440069i | 0.684900 | − | 0.728637i | \(-0.259846\pi\) |
0.957459 | + | 0.288568i | \(0.0931791\pi\) | |||||||
\(294\) | −7.98477 | − | 2.13951i | −0.465681 | − | 0.124779i | ||||
\(295\) | −3.20653 | − | 0.681482i | −0.186692 | − | 0.0396774i | ||||
\(296\) | 2.63535 | + | 16.4375i | 0.153176 | + | 0.955413i | ||||
\(297\) | −14.0762 | + | 14.0762i | −0.816784 | + | 0.816784i | ||||
\(298\) | 6.33904 | + | 10.9795i | 0.367211 | + | 0.636027i | ||||
\(299\) | −1.95439 | + | 3.38510i | −0.113025 | + | 0.195765i | ||||
\(300\) | −11.9750 | − | 1.89601i | −0.691377 | − | 0.109466i | ||||
\(301\) | 13.6739 | − | 3.66390i | 0.788149 | − | 0.211184i | ||||
\(302\) | 13.5425 | 0.779282 | ||||||||
\(303\) | 5.57905 | − | 1.49490i | 0.320508 | − | 0.0858798i | ||||
\(304\) | 0.642091 | − | 0.642091i | 0.0368264 | − | 0.0368264i | ||||
\(305\) | −4.60539 | − | 14.1727i | −0.263704 | − | 0.811525i | ||||
\(306\) | −0.610182 | −0.0348818 | ||||||||
\(307\) | 17.5892 | + | 17.5892i | 1.00387 | + | 1.00387i | 0.999992 | + | 0.00387509i | \(0.00123348\pi\) |
0.00387509 | + | 0.999992i | \(0.498767\pi\) | |||||||
\(308\) | 1.74746 | − | 6.52161i | 0.0995708 | − | 0.371603i | ||||
\(309\) | −3.79204 | − | 14.1521i | −0.215722 | − | 0.805084i | ||||
\(310\) | −3.48099 | + | 16.3789i | −0.197707 | + | 0.930259i | ||||
\(311\) | 21.0337 | + | 5.63596i | 1.19271 | + | 0.319586i | 0.799957 | − | 0.600058i | \(-0.204856\pi\) |
0.392754 | + | 0.919644i | \(0.371522\pi\) | |||||||
\(312\) | −23.8826 | − | 6.39932i | −1.35209 | − | 0.362290i | ||||
\(313\) | −25.0189 | + | 14.4447i | −1.41415 | + | 0.816460i | −0.995776 | − | 0.0918148i | \(-0.970733\pi\) |
−0.418374 | + | 0.908275i | \(0.637400\pi\) | |||||||
\(314\) | 6.75699 | − | 1.81053i | 0.381319 | − | 0.102174i | ||||
\(315\) | −0.763445 | − | 0.687372i | −0.0430152 | − | 0.0387291i | ||||
\(316\) | −11.3550 | − | 3.04256i | −0.638767 | − | 0.171157i | ||||
\(317\) | 0.284851 | − | 1.06308i | 0.0159988 | − | 0.0597084i | −0.957465 | − | 0.288550i | \(-0.906827\pi\) |
0.973464 | + | 0.228841i | \(0.0734936\pi\) | |||||||
\(318\) | 4.75082 | − | 2.74289i | 0.266413 | − | 0.153813i | ||||
\(319\) | 6.92539 | − | 6.92539i | 0.387747 | − | 0.387747i | ||||
\(320\) | −8.93498 | + | 0.468497i | −0.499481 | + | 0.0261898i | ||||
\(321\) | −3.43926 | + | 1.98566i | −0.191961 | + | 0.110829i | ||||
\(322\) | −0.573838 | + | 0.573838i | −0.0319787 | + | 0.0319787i | ||||
\(323\) | 3.32328 | − | 3.32328i | 0.184912 | − | 0.184912i | ||||
\(324\) | −6.58700 | − | 11.4090i | −0.365945 | − | 0.633835i | ||||
\(325\) | −22.4774 | − | 10.0062i | −1.24682 | − | 0.555043i | ||||
\(326\) | 0.676728 | + | 0.390709i | 0.0374805 | + | 0.0216394i | ||||
\(327\) | − | 19.8251i | − | 1.09633i | ||||||
\(328\) | 15.3959 | − | 26.6664i | 0.850094 | − | 1.47241i | ||||
\(329\) | −3.33085 | − | 1.92307i | −0.183636 | − | 0.106022i | ||||
\(330\) | 9.33548 | − | 10.3687i | 0.513901 | − | 0.570775i | ||||
\(331\) | 0.504686 | − | 1.88351i | 0.0277400 | − | 0.103527i | −0.950668 | − | 0.310211i | \(-0.899600\pi\) |
0.978408 | + | 0.206684i | \(0.0662670\pi\) | |||||||
\(332\) | 1.11993 | + | 1.11993i | 0.0614641 | + | 0.0614641i | ||||
\(333\) | 1.74926 | − | 1.42201i | 0.0958587 | − | 0.0779257i | ||||
\(334\) | 1.52590i | 0.0834936i | ||||||||
\(335\) | 12.5644 | − | 4.08279i | 0.686467 | − | 0.223066i | ||||
\(336\) | 0.760749 | + | 0.439219i | 0.0415023 | + | 0.0239613i | ||||
\(337\) | −0.813925 | + | 0.218091i | −0.0443373 | + | 0.0118802i | −0.280920 | − | 0.959731i | \(-0.590639\pi\) |
0.236582 | + | 0.971611i | \(0.423973\pi\) | |||||||
\(338\) | −8.00410 | − | 4.62117i | −0.435366 | − | 0.251359i | ||||
\(339\) | 2.80282 | − | 2.80282i | 0.152228 | − | 0.152228i | ||||
\(340\) | 5.89184 | − | 0.308933i | 0.319530 | − | 0.0167542i | ||||
\(341\) | 26.4948 | + | 26.4948i | 1.43478 | + | 1.43478i | ||||
\(342\) | 0.694090 | + | 0.185981i | 0.0375321 | + | 0.0100567i | ||||
\(343\) | 10.9247 | + | 10.9247i | 0.589880 | + | 0.589880i | ||||
\(344\) | −31.2538 | −1.68509 | ||||||||
\(345\) | 3.10132 | − | 1.00777i | 0.166969 | − | 0.0542565i | ||||
\(346\) | 1.59944 | − | 0.428568i | 0.0859862 | − | 0.0230399i | ||||
\(347\) | 25.8472i | 1.38755i | 0.720191 | + | 0.693776i | \(0.244054\pi\) | ||||
−0.720191 | + | 0.693776i | \(0.755946\pi\) | |||||||
\(348\) | 2.87952 | + | 4.98747i | 0.154358 | + | 0.267356i | ||||
\(349\) | 15.4393 | − | 8.91390i | 0.826448 | − | 0.477150i | −0.0261867 | − | 0.999657i | \(-0.508336\pi\) |
0.852635 | + | 0.522507i | \(0.175003\pi\) | |||||||
\(350\) | −3.97000 | − | 3.21450i | −0.212206 | − | 0.171822i | ||||
\(351\) | −6.14811 | − | 22.9451i | −0.328162 | − | 1.22472i | ||||
\(352\) | −11.9418 | + | 20.6839i | −0.636503 | + | 1.10245i | ||||
\(353\) | 3.51992 | + | 6.09669i | 0.187347 | + | 0.324494i | 0.944365 | − | 0.328900i | \(-0.106678\pi\) |
−0.757018 | + | 0.653394i | \(0.773345\pi\) | |||||||
\(354\) | 1.10911 | + | 1.92104i | 0.0589487 | + | 0.102102i | ||||
\(355\) | −6.71174 | + | 13.1734i | −0.356222 | + | 0.699171i | ||||
\(356\) | −6.77013 | − | 6.77013i | −0.358816 | − | 0.358816i | ||||
\(357\) | 3.93742 | + | 2.27327i | 0.208390 | + | 0.120314i | ||||
\(358\) | −18.6008 | − | 4.98406i | −0.983082 | − | 0.263416i | ||||
\(359\) | − | 18.3910i | − | 0.970639i | −0.874337 | − | 0.485320i | \(-0.838703\pi\) | ||
0.874337 | − | 0.485320i | \(-0.161297\pi\) | |||||||
\(360\) | 1.23531 | + | 1.90210i | 0.0651064 | + | 0.100249i | ||||
\(361\) | 11.6613 | − | 6.73265i | 0.613752 | − | 0.354350i | ||||
\(362\) | − | 1.00392i | − | 0.0527650i | ||||||
\(363\) | −2.85352 | − | 10.6495i | −0.149771 | − | 0.558952i | ||||
\(364\) | 5.69693 | + | 5.69693i | 0.298600 | + | 0.298600i | ||||
\(365\) | 10.8868 | − | 12.0916i | 0.569839 | − | 0.632904i | ||||
\(366\) | −5.04192 | + | 8.73287i | −0.263546 | + | 0.456474i | ||||
\(367\) | −4.24206 | − | 15.8316i | −0.221434 | − | 0.826402i | −0.983802 | − | 0.179258i | \(-0.942630\pi\) |
0.762368 | − | 0.647143i | \(-0.224036\pi\) | |||||||
\(368\) | −0.265521 | + | 0.153299i | −0.0138413 | + | 0.00799125i | ||||
\(369\) | −4.16969 | −0.217065 | ||||||||
\(370\) | 8.31602 | − | 7.51672i | 0.432329 | − | 0.390776i | ||||
\(371\) | −4.49435 | −0.233335 | ||||||||
\(372\) | −19.0808 | + | 11.0163i | −0.989295 | + | 0.571170i | ||||
\(373\) | 1.39064 | + | 5.18993i | 0.0720045 | + | 0.268724i | 0.992537 | − | 0.121941i | \(-0.0389118\pi\) |
−0.920533 | + | 0.390665i | \(0.872245\pi\) | |||||||
\(374\) | −3.39472 | + | 5.87983i | −0.175537 | + | 0.304039i | ||||
\(375\) | 8.35024 | + | 18.7510i | 0.431205 | + | 0.968297i | ||||
\(376\) | 6.00433 | + | 6.00433i | 0.309650 | + | 0.309650i | ||||
\(377\) | 3.02483 | + | 11.2888i | 0.155786 | + | 0.581403i | ||||
\(378\) | − | 4.93184i | − | 0.253667i | ||||||
\(379\) | 17.5612 | − | 10.1389i | 0.902057 | − | 0.520803i | 0.0241899 | − | 0.999707i | \(-0.492299\pi\) |
0.877867 | + | 0.478905i | \(0.158966\pi\) | |||||||
\(380\) | −6.79620 | − | 1.44439i | −0.348638 | − | 0.0740957i | ||||
\(381\) | 6.94765i | 0.355939i | ||||||||
\(382\) | 6.15958 | + | 1.65045i | 0.315151 | + | 0.0844445i | ||||
\(383\) | 5.99456 | + | 3.46096i | 0.306308 | + | 0.176847i | 0.645273 | − | 0.763952i | \(-0.276744\pi\) |
−0.338965 | + | 0.940799i | \(0.610077\pi\) | |||||||
\(384\) | −10.7566 | − | 10.7566i | −0.548919 | − | 0.548919i | ||||
\(385\) | −10.8710 | + | 3.53253i | −0.554039 | + | 0.180034i | ||||
\(386\) | −8.42088 | − | 14.5854i | −0.428612 | − | 0.742377i | ||||
\(387\) | 2.11613 | + | 3.66525i | 0.107569 | + | 0.186315i | ||||
\(388\) | 7.77022 | − | 13.4584i | 0.394473 | − | 0.683248i | ||||
\(389\) | −9.03222 | − | 33.7087i | −0.457952 | − | 1.70910i | −0.679262 | − | 0.733896i | \(-0.737700\pi\) |
0.221311 | − | 0.975203i | \(-0.428967\pi\) | |||||||
\(390\) | 5.14518 | + | 15.8338i | 0.260537 | + | 0.801778i | ||||
\(391\) | −1.37426 | + | 0.793431i | −0.0694994 | + | 0.0401255i | ||||
\(392\) | −7.47607 | − | 12.9489i | −0.377599 | − | 0.654020i | ||||
\(393\) | − | 18.1375i | − | 0.914916i | ||||||
\(394\) | 22.0886 | − | 5.91862i | 1.11281 | − | 0.298176i | ||||
\(395\) | 6.15060 | + | 18.9279i | 0.309470 | + | 0.952366i | ||||
\(396\) | 2.01853 | 0.101435 | ||||||||
\(397\) | 8.75997 | + | 8.75997i | 0.439650 | + | 0.439650i | 0.891894 | − | 0.452244i | \(-0.149376\pi\) |
−0.452244 | + | 0.891894i | \(0.649376\pi\) | |||||||
\(398\) | −14.4375 | − | 3.86852i | −0.723687 | − | 0.193911i | ||||
\(399\) | −3.78598 | − | 3.78598i | −0.189536 | − | 0.189536i | ||||
\(400\) | −1.13445 | − | 1.56126i | −0.0567224 | − | 0.0780631i | ||||
\(401\) | −22.1660 | + | 22.1660i | −1.10692 | + | 1.10692i | −0.113365 | + | 0.993553i | \(0.536163\pi\) |
−0.993553 | + | 0.113365i | \(0.963837\pi\) | |||||||
\(402\) | −7.74189 | − | 4.46978i | −0.386130 | − | 0.222933i | ||||
\(403\) | −43.1882 | + | 11.5722i | −2.15136 | + | 0.576455i | ||||
\(404\) | 3.59849 | + | 2.07759i | 0.179032 | + | 0.103364i | ||||
\(405\) | −10.1251 | + | 19.8729i | −0.503121 | + | 0.987494i | ||||
\(406\) | 2.42643i | 0.120422i | ||||||||
\(407\) | −3.97084 | − | 24.7674i | −0.196827 | − | 1.22768i | ||||
\(408\) | −7.09775 | − | 7.09775i | −0.351391 | − | 0.351391i | ||||
\(409\) | 7.06463 | − | 26.3656i | 0.349324 | − | 1.30369i | −0.538156 | − | 0.842845i | \(-0.680879\pi\) |
0.887479 | − | 0.460848i | \(-0.152455\pi\) | |||||||
\(410\) | −20.7054 | + | 1.08567i | −1.02257 | + | 0.0536173i | ||||
\(411\) | 33.6478 | + | 19.4266i | 1.65973 | + | 0.958243i | ||||
\(412\) | 5.27011 | − | 9.12810i | 0.259640 | − | 0.449709i | ||||
\(413\) | − | 1.81734i | − | 0.0894254i | ||||||
\(414\) | −0.210116 | − | 0.121311i | −0.0103267 | − | 0.00596210i | ||||
\(415\) | 0.557428 | − | 2.62283i | 0.0273630 | − | 0.128750i | ||||
\(416\) | −14.2501 | − | 24.6818i | −0.698667 | − | 1.21013i | ||||
\(417\) | 28.7626 | − | 28.7626i | 1.40851 | − | 1.40851i | ||||
\(418\) | 5.65368 | − | 5.65368i | 0.276531 | − | 0.276531i | ||||
\(419\) | −30.6436 | + | 17.6921i | −1.49704 | + | 0.864315i | −0.999994 | − | 0.00341085i | \(-0.998914\pi\) |
−0.497043 | + | 0.867726i | \(0.665581\pi\) | |||||||
\(420\) | −0.351946 | − | 6.71217i | −0.0171732 | − | 0.327520i | ||||
\(421\) | 6.45054 | − | 6.45054i | 0.314380 | − | 0.314380i | −0.532224 | − | 0.846604i | \(-0.678643\pi\) |
0.846604 | + | 0.532224i | \(0.178643\pi\) | |||||||
\(422\) | 13.3105 | − | 7.68485i | 0.647947 | − | 0.374093i | ||||
\(423\) | 0.297609 | − | 1.11069i | 0.0144702 | − | 0.0540037i | ||||
\(424\) | 9.58443 | + | 2.56814i | 0.465461 | + | 0.124720i | ||||
\(425\) | −5.87157 | − | 8.08064i | −0.284813 | − | 0.391969i | ||||
\(426\) | 9.66345 | − | 2.58931i | 0.468195 | − | 0.125453i | ||||
\(427\) | 7.15462 | − | 4.13072i | 0.346236 | − | 0.199900i | ||||
\(428\) | −2.75963 | − | 0.739442i | −0.133392 | − | 0.0357423i | ||||
\(429\) | 35.9854 | + | 9.64225i | 1.73739 | + | 0.465532i | ||||
\(430\) | 11.4624 | + | 17.6495i | 0.552766 | + | 0.851136i | ||||
\(431\) | −6.64876 | − | 24.8135i | −0.320259 | − | 1.19522i | −0.918992 | − | 0.394276i | \(-0.870996\pi\) |
0.598733 | − | 0.800949i | \(-0.295671\pi\) | |||||||
\(432\) | 0.482247 | − | 1.79977i | 0.0232021 | − | 0.0865916i | ||||
\(433\) | −17.0203 | − | 17.0203i | −0.817941 | − | 0.817941i | 0.167868 | − | 0.985809i | \(-0.446312\pi\) |
−0.985809 | + | 0.167868i | \(0.946312\pi\) | |||||||
\(434\) | −9.28293 | −0.445595 | ||||||||
\(435\) | 4.42620 | − | 8.68748i | 0.212220 | − | 0.416533i | ||||
\(436\) | 10.0849 | − | 10.0849i | 0.482981 | − | 0.482981i | ||||
\(437\) | 1.80507 | − | 0.483668i | 0.0863484 | − | 0.0231370i | ||||
\(438\) | −11.0098 | −0.526066 | ||||||||
\(439\) | −14.3903 | + | 3.85588i | −0.686814 | + | 0.184031i | −0.585317 | − | 0.810805i | \(-0.699030\pi\) |
−0.101497 | + | 0.994836i | \(0.532363\pi\) | |||||||
\(440\) | 25.2015 | − | 1.32142i | 1.20144 | − | 0.0629962i | ||||
\(441\) | −1.01238 | + | 1.75349i | −0.0482086 | + | 0.0834997i | ||||
\(442\) | −4.05088 | − | 7.01632i | −0.192681 | − | 0.333732i | ||||
\(443\) | −19.1200 | + | 19.1200i | −0.908420 | + | 0.908420i | −0.996145 | − | 0.0877248i | \(-0.972040\pi\) |
0.0877248 | + | 0.996145i | \(0.472040\pi\) | |||||||
\(444\) | 14.6718 | + | 1.51400i | 0.696292 | + | 0.0718512i | ||||
\(445\) | −3.36973 | + | 15.8554i | −0.159740 | + | 0.751616i | ||||
\(446\) | −8.81067 | − | 2.36081i | −0.417197 | − | 0.111788i | ||||
\(447\) | 27.2799 | − | 7.30964i | 1.29030 | − | 0.345734i | ||||
\(448\) | −1.28379 | − | 4.79116i | −0.0606533 | − | 0.226361i | ||||
\(449\) | 1.83666 | + | 6.85450i | 0.0866772 | + | 0.323484i | 0.995627 | − | 0.0934229i | \(-0.0297809\pi\) |
−0.908949 | + | 0.416907i | \(0.863114\pi\) | |||||||
\(450\) | 0.621094 | − | 1.39520i | 0.0292786 | − | 0.0657702i | ||||
\(451\) | −23.1979 | + | 40.1799i | −1.09235 | + | 1.89200i | ||||
\(452\) | 2.85157 | 0.134126 | ||||||||
\(453\) | 7.80801 | − | 29.1399i | 0.366852 | − | 1.36911i | ||||
\(454\) | 6.93784i | 0.325609i | ||||||||
\(455\) | 2.83556 | − | 13.3420i | 0.132933 | − | 0.625481i | ||||
\(456\) | 5.91042 | + | 10.2371i | 0.276781 | + | 0.479398i | ||||
\(457\) | 6.55090 | − | 11.3465i | 0.306438 | − | 0.530767i | −0.671142 | − | 0.741329i | \(-0.734196\pi\) |
0.977581 | + | 0.210562i | \(0.0675293\pi\) | |||||||
\(458\) | 16.8010 | 0.785061 | ||||||||
\(459\) | 2.49597 | − | 9.31510i | 0.116502 | − | 0.434792i | ||||
\(460\) | 2.09028 | + | 1.06498i | 0.0974596 | + | 0.0496550i | ||||
\(461\) | −5.66561 | + | 21.1444i | −0.263874 | + | 0.984791i | 0.699062 | + | 0.715061i | \(0.253601\pi\) |
−0.962936 | + | 0.269730i | \(0.913066\pi\) | |||||||
\(462\) | 6.69848 | + | 3.86737i | 0.311641 | + | 0.179926i | ||||
\(463\) | 23.5293 | + | 13.5846i | 1.09350 | + | 0.631331i | 0.934506 | − | 0.355949i | \(-0.115842\pi\) |
0.158992 | + | 0.987280i | \(0.449176\pi\) | |||||||
\(464\) | −0.237262 | + | 0.885474i | −0.0110146 | + | 0.0411071i | ||||
\(465\) | 33.2362 | + | 16.9336i | 1.54129 | + | 0.785276i | ||||
\(466\) | 1.93717 | − | 7.22961i | 0.0897376 | − | 0.334905i | ||||
\(467\) | 11.4311 | 0.528967 | 0.264483 | − | 0.964390i | \(-0.414799\pi\) | ||||
0.264483 | + | 0.964390i | \(0.414799\pi\) | |||||||
\(468\) | −1.20435 | + | 2.08599i | −0.0556709 | + | 0.0964248i | ||||
\(469\) | 3.66198 | + | 6.34274i | 0.169095 | + | 0.292880i | ||||
\(470\) | 1.18864 | − | 5.59284i | 0.0548280 | − | 0.257979i | ||||
\(471\) | − | 15.5832i | − | 0.718035i | ||||||
\(472\) | −1.03845 | + | 3.87556i | −0.0477987 | + | 0.178387i | ||||
\(473\) | 47.0920 | 2.16529 | ||||||||
\(474\) | 6.73360 | − | 11.6629i | 0.309284 | − | 0.535696i | ||||
\(475\) | 4.21605 | + | 10.9815i | 0.193445 | + | 0.503864i | ||||
\(476\) | 0.846546 | + | 3.15935i | 0.0388014 | + | 0.144809i | ||||
\(477\) | −0.347767 | − | 1.29788i | −0.0159232 | − | 0.0594261i | ||||
\(478\) | 4.78666 | − | 1.28258i | 0.218937 | − | 0.0586639i | ||||
\(479\) | −9.48503 | − | 2.54151i | −0.433382 | − | 0.116124i | 0.0355313 | − | 0.999369i | \(-0.488688\pi\) |
−0.468913 | + | 0.883244i | \(0.655354\pi\) | |||||||
\(480\) | −4.94282 | + | 23.2571i | −0.225608 | + | 1.06154i | ||||
\(481\) | 27.9643 | + | 10.6738i | 1.27506 | + | 0.486684i | ||||
\(482\) | 0.152540 | − | 0.152540i | 0.00694799 | − | 0.00694799i | ||||
\(483\) | 0.903900 | + | 1.56560i | 0.0411289 | + | 0.0712373i | ||||
\(484\) | 3.96577 | − | 6.86892i | 0.180262 | − | 0.312224i | ||||
\(485\) | −26.2739 | + | 1.37765i | −1.19304 | + | 0.0625557i | ||||
\(486\) | 3.04919 | − | 0.817028i | 0.138314 | − | 0.0370611i | ||||
\(487\) | −28.7566 | −1.30308 | −0.651542 | − | 0.758613i | \(-0.725878\pi\) | ||||
−0.651542 | + | 0.758613i | \(0.725878\pi\) | |||||||
\(488\) | −17.6179 | + | 4.72071i | −0.797526 | + | 0.213696i | ||||
\(489\) | 1.23088 | − | 1.23088i | 0.0556622 | − | 0.0556622i | ||||
\(490\) | −4.57061 | + | 8.97090i | −0.206479 | + | 0.405264i | ||||
\(491\) | 31.5099 | 1.42202 | 0.711010 | − | 0.703182i | \(-0.248238\pi\) | ||||
0.711010 | + | 0.703182i | \(0.248238\pi\) | |||||||
\(492\) | −19.2910 | − | 19.2910i | −0.869704 | − | 0.869704i | ||||
\(493\) | −1.22800 | + | 4.58296i | −0.0553063 | + | 0.206406i | ||||
\(494\) | 2.46938 | + | 9.21584i | 0.111103 | + | 0.414640i | ||||
\(495\) | −1.86131 | − | 2.86601i | −0.0836598 | − | 0.128817i | ||||
\(496\) | −3.38761 | − | 0.907707i | −0.152108 | − | 0.0407572i | ||||
\(497\) | −7.91702 | − | 2.12136i | −0.355127 | − | 0.0951560i | ||||
\(498\) | −1.57134 | + | 0.907215i | −0.0704136 | + | 0.0406533i | ||||
\(499\) | −28.6886 | + | 7.68709i | −1.28428 | + | 0.344121i | −0.835485 | − | 0.549514i | \(-0.814813\pi\) |
−0.448794 | + | 0.893635i | \(0.648146\pi\) | |||||||
\(500\) | −5.29082 | + | 13.7863i | −0.236613 | + | 0.616542i | ||||
\(501\) | 3.28334 | + | 0.879770i | 0.146689 | + | 0.0393052i | ||||
\(502\) | 5.42443 | − | 20.2442i | 0.242104 | − | 0.903544i | ||||
\(503\) | −15.0571 | + | 8.69325i | −0.671365 | + | 0.387613i | −0.796594 | − | 0.604515i | \(-0.793367\pi\) |
0.125229 | + | 0.992128i | \(0.460034\pi\) | |||||||
\(504\) | −0.889080 | + | 0.889080i | −0.0396028 | + | 0.0396028i | ||||
\(505\) | −0.368353 | − | 7.02507i | −0.0163915 | − | 0.312612i | ||||
\(506\) | −2.33795 | + | 1.34981i | −0.103934 | + | 0.0600065i | ||||
\(507\) | −14.5584 | + | 14.5584i | −0.646561 | + | 0.646561i | ||||
\(508\) | −3.53424 | + | 3.53424i | −0.156807 | + | 0.156807i | ||||
\(509\) | 4.46764 | + | 7.73818i | 0.198025 | + | 0.342989i | 0.947888 | − | 0.318604i | \(-0.103214\pi\) |
−0.749863 | + | 0.661593i | \(0.769881\pi\) | |||||||
\(510\) | −1.40510 | + | 6.61133i | −0.0622189 | + | 0.292754i | ||||
\(511\) | 7.81156 | + | 4.51001i | 0.345563 | + | 0.199511i | ||||
\(512\) | − | 4.34822i | − | 0.192166i | ||||||
\(513\) | −5.67840 | + | 9.83528i | −0.250708 | + | 0.434238i | ||||
\(514\) | −10.0643 | − | 5.81064i | −0.443918 | − | 0.256296i | ||||
\(515\) | −17.8201 | + | 0.934382i | −0.785249 | + | 0.0411738i | ||||
\(516\) | −7.16695 | + | 26.7474i | −0.315507 | + | 1.17749i | ||||
\(517\) | −9.04709 | − | 9.04709i | −0.397891 | − | 0.397891i | ||||
\(518\) | 5.03448 | + | 3.64323i | 0.221202 | + | 0.160074i | ||||
\(519\) | − | 3.68867i | − | 0.161914i | ||||||
\(520\) | −13.6708 | + | 26.8321i | −0.599503 | + | 1.17667i | ||||
\(521\) | 5.50222 | + | 3.17671i | 0.241057 | + | 0.139174i | 0.615662 | − | 0.788010i | \(-0.288889\pi\) |
−0.374606 | + | 0.927184i | \(0.622222\pi\) | |||||||
\(522\) | −0.700707 | + | 0.187754i | −0.0306691 | + | 0.00821776i | ||||
\(523\) | −2.70312 | − | 1.56065i | −0.118199 | − | 0.0682423i | 0.439735 | − | 0.898128i | \(-0.355072\pi\) |
−0.557934 | + | 0.829885i | \(0.688406\pi\) | |||||||
\(524\) | 9.22647 | − | 9.22647i | 0.403060 | − | 0.403060i | ||||
\(525\) | −9.20571 | + | 6.68908i | −0.401770 | + | 0.291935i | ||||
\(526\) | −6.86021 | − | 6.86021i | −0.299119 | − | 0.299119i | ||||
\(527\) | −17.5333 | − | 4.69803i | −0.763762 | − | 0.204649i | ||||
\(528\) | 2.06631 | + | 2.06631i | 0.0899245 | + | 0.0899245i | ||||
\(529\) | 22.3690 | 0.972567 | ||||||||
\(530\) | −2.06484 | − | 6.35435i | −0.0896908 | − | 0.276015i | ||||
\(531\) | 0.524813 | − | 0.140623i | 0.0227749 | − | 0.00610253i | ||||
\(532\) | − | 3.85183i | − | 0.166998i | ||||||
\(533\) | −27.6817 | − | 47.9462i | −1.19903 | − | 2.07678i | ||||
\(534\) | 9.49898 | − | 5.48424i | 0.411061 | − | 0.237326i | ||||
\(535\) | 1.49480 | + | 4.60010i | 0.0646257 | + | 0.198880i | ||||
\(536\) | −4.18502 | − | 15.6187i | −0.180765 | − | 0.674625i | ||||
\(537\) | −21.4488 | + | 37.1505i | −0.925585 | + | 1.60316i | ||||
\(538\) | −9.59546 | − | 16.6198i | −0.413690 | − | 0.716531i | ||||
\(539\) | 11.2647 | + | 19.5110i | 0.485203 | + | 0.840396i | ||||
\(540\) | −13.5589 | + | 4.40595i | −0.583482 | + | 0.189602i | ||||
\(541\) | −2.14088 | − | 2.14088i | −0.0920435 | − | 0.0920435i | 0.659586 | − | 0.751629i | \(-0.270732\pi\) |
−0.751629 | + | 0.659586i | \(0.770732\pi\) | |||||||
\(542\) | −4.59651 | − | 2.65380i | −0.197437 | − | 0.113990i | ||||
\(543\) | −2.16018 | − | 0.578819i | −0.0927023 | − | 0.0248395i | ||||
\(544\) | − | 11.5703i | − | 0.496073i | ||||||
\(545\) | −23.6185 | − | 5.01962i | −1.01171 | − | 0.215017i | ||||
\(546\) | −7.99321 | + | 4.61488i | −0.342078 | + | 0.197499i | ||||
\(547\) | 45.1561i | 1.93074i | 0.260891 | + | 0.965368i | \(0.415984\pi\) | ||||
−0.260891 | + | 0.965368i | \(0.584016\pi\) | |||||||
\(548\) | 7.23429 | + | 26.9988i | 0.309034 | + | 1.15333i | ||||
\(549\) | 1.74649 | + | 1.74649i | 0.0745384 | + | 0.0745384i | ||||
\(550\) | −9.98894 | − | 13.7471i | −0.425930 | − | 0.586177i | ||||
\(551\) | 2.79373 | − | 4.83888i | 0.119017 | − | 0.206143i | ||||
\(552\) | −1.03300 | − | 3.85522i | −0.0439676 | − | 0.164089i | ||||
\(553\) | −9.55515 | + | 5.51667i | −0.406326 | + | 0.234593i | ||||
\(554\) | 15.1337 | 0.642971 | ||||||||
\(555\) | −11.3794 | − | 22.2277i | −0.483027 | − | 0.943515i | ||||
\(556\) | 29.2629 | 1.24102 | ||||||||
\(557\) | −1.00267 | + | 0.578894i | −0.0424847 | + | 0.0245285i | −0.521092 | − | 0.853501i | \(-0.674475\pi\) |
0.478607 | + | 0.878029i | \(0.341142\pi\) | |||||||
\(558\) | −0.718300 | − | 2.68073i | −0.0304081 | − | 0.113485i | ||||
\(559\) | −28.0972 | + | 48.6657i | −1.18838 | + | 2.05834i | ||||
\(560\) | 0.715879 | − | 0.795106i | 0.0302514 | − | 0.0335994i | ||||
\(561\) | 10.6946 | + | 10.6946i | 0.451527 | + | 0.451527i | ||||
\(562\) | 4.25618 | + | 15.8843i | 0.179536 | + | 0.670038i | ||||
\(563\) | 9.05216i | 0.381503i | 0.981638 | + | 0.190751i | \(0.0610925\pi\) | ||||
−0.981638 | + | 0.190751i | \(0.938908\pi\) | |||||||
\(564\) | 6.51546 | − | 3.76170i | 0.274350 | − | 0.158396i | ||||
\(565\) | −2.62946 | − | 4.04879i | −0.110622 | − | 0.170334i | ||||
\(566\) | − | 9.16354i | − | 0.385172i | ||||||
\(567\) | −11.9433 | − | 3.20021i | −0.501573 | − | 0.134396i | ||||
\(568\) | 15.6712 | + | 9.04780i | 0.657551 | + | 0.379637i | ||||
\(569\) | −0.221126 | − | 0.221126i | −0.00927008 | − | 0.00927008i | 0.702457 | − | 0.711727i | \(-0.252087\pi\) |
−0.711727 | + | 0.702457i | \(0.752087\pi\) | |||||||
\(570\) | 3.61342 | − | 7.09220i | 0.151350 | − | 0.297060i | ||||
\(571\) | −14.6005 | − | 25.2888i | −0.611012 | − | 1.05830i | −0.991070 | − | 0.133342i | \(-0.957429\pi\) |
0.380058 | − | 0.924963i | \(-0.375904\pi\) | |||||||
\(572\) | 13.4006 | + | 23.2106i | 0.560309 | + | 0.970483i | ||||
\(573\) | 7.10270 | − | 12.3022i | 0.296719 | − | 0.513933i | ||||
\(574\) | −2.97497 | − | 11.1028i | −0.124173 | − | 0.463420i | ||||
\(575\) | −0.415361 | − | 3.94990i | −0.0173217 | − | 0.164722i | ||||
\(576\) | 1.28426 | − | 0.741467i | 0.0535108 | − | 0.0308945i | ||||
\(577\) | −7.37214 | − | 12.7689i | −0.306906 | − | 0.531577i | 0.670778 | − | 0.741658i | \(-0.265960\pi\) |
−0.977684 | + | 0.210081i | \(0.932627\pi\) | |||||||
\(578\) | 10.7215i | 0.445956i | ||||||||
\(579\) | −36.2391 | + | 9.71024i | −1.50605 | + | 0.403544i | ||||
\(580\) | 6.67088 | − | 2.16769i | 0.276993 | − | 0.0900085i | ||||
\(581\) | 1.48652 | 0.0616711 | ||||||||
\(582\) | 12.5888 | + | 12.5888i | 0.521821 | + | 0.521821i | ||||
\(583\) | −14.4414 | − | 3.86957i | −0.598103 | − | 0.160261i | ||||
\(584\) | −14.0814 | − | 14.0814i | −0.582694 | − | 0.582694i | ||||
\(585\) | 4.07232 | − | 0.213528i | 0.168370 | − | 0.00882831i | ||||
\(586\) | −16.9610 | + | 16.9610i | −0.700652 | + | 0.700652i | ||||
\(587\) | 29.6366 | + | 17.1107i | 1.22323 | + | 0.706233i | 0.965606 | − | 0.260011i | \(-0.0837262\pi\) |
0.257627 | + | 0.966245i | \(0.417060\pi\) | |||||||
\(588\) | −12.7962 | + | 3.42874i | −0.527708 | + | 0.141399i | ||||
\(589\) | 18.5124 | + | 10.6881i | 0.762790 | + | 0.440397i | ||||
\(590\) | 2.56945 | − | 0.834938i | 0.105782 | − | 0.0343739i | ||||
\(591\) | − | 50.9414i | − | 2.09545i | ||||||
\(592\) | 1.48098 | + | 1.82180i | 0.0608680 | + | 0.0748756i | ||||
\(593\) | 2.15764 | + | 2.15764i | 0.0886036 | + | 0.0886036i | 0.750019 | − | 0.661416i | \(-0.230044\pi\) |
−0.661416 | + | 0.750019i | \(0.730044\pi\) | |||||||
\(594\) | 4.24624 | − | 15.8472i | 0.174225 | − | 0.650218i | ||||
\(595\) | 3.70518 | − | 4.11524i | 0.151898 | − | 0.168708i | ||||
\(596\) | 17.5956 | + | 10.1588i | 0.720743 | + | 0.416121i | ||||
\(597\) | −16.6481 | + | 28.8354i | −0.681362 | + | 1.18015i | ||||
\(598\) | − | 3.22143i | − | 0.131734i | ||||||
\(599\) | −6.31443 | − | 3.64564i | −0.258000 | − | 0.148957i | 0.365422 | − | 0.930842i | \(-0.380925\pi\) |
−0.623422 | + | 0.781885i | \(0.714258\pi\) | |||||||
\(600\) | 23.4539 | − | 9.00450i | 0.957500 | − | 0.367607i | ||||
\(601\) | −6.91912 | − | 11.9843i | −0.282237 | − | 0.488849i | 0.689699 | − | 0.724097i | \(-0.257743\pi\) |
−0.971935 | + | 0.235248i | \(0.924410\pi\) | |||||||
\(602\) | −8.24975 | + | 8.24975i | −0.336235 | + | 0.336235i | ||||
\(603\) | −1.54830 | + | 1.54830i | −0.0630518 | + | 0.0630518i | ||||
\(604\) | 18.7953 | − | 10.8514i | 0.764768 | − | 0.441539i | ||||
\(605\) | −13.4097 | + | 0.703125i | −0.545182 | + | 0.0285861i | ||||
\(606\) | −3.36596 | + | 3.36596i | −0.136733 | + | 0.136733i | ||||
\(607\) | −8.17078 | + | 4.71740i | −0.331642 | + | 0.191473i | −0.656570 | − | 0.754265i | \(-0.727993\pi\) |
0.324928 | + | 0.945739i | \(0.394660\pi\) | |||||||
\(608\) | −3.52658 | + | 13.1614i | −0.143022 | + | 0.533764i | ||||
\(609\) | 5.22105 | + | 1.39898i | 0.211568 | + | 0.0566893i | ||||
\(610\) | 9.12727 | + | 8.21780i | 0.369552 | + | 0.332729i | ||||
\(611\) | 14.7473 | − | 3.95153i | 0.596612 | − | 0.159862i | ||||
\(612\) | −0.846856 | + | 0.488933i | −0.0342321 | + | 0.0197639i | ||||
\(613\) | 25.9670 | + | 6.95785i | 1.04880 | + | 0.281025i | 0.741755 | − | 0.670671i | \(-0.233994\pi\) |
0.307043 | + | 0.951696i | \(0.400660\pi\) | |||||||
\(614\) | −19.8022 | − | 5.30597i | −0.799150 | − | 0.214132i | ||||
\(615\) | −9.60178 | + | 45.1786i | −0.387181 | + | 1.82178i | ||||
\(616\) | 3.62098 | + | 13.5137i | 0.145894 | + | 0.544482i | ||||
\(617\) | 7.44729 | − | 27.7937i | 0.299817 | − | 1.11893i | −0.637499 | − | 0.770451i | \(-0.720031\pi\) |
0.937316 | − | 0.348481i | \(-0.113302\pi\) | |||||||
\(618\) | 8.53826 | + | 8.53826i | 0.343459 | + | 0.343459i | ||||
\(619\) | −33.9719 | −1.36544 | −0.682722 | − | 0.730678i | \(-0.739204\pi\) | ||||
−0.682722 | + | 0.730678i | \(0.739204\pi\) | |||||||
\(620\) | 8.29306 | + | 25.5211i | 0.333057 | + | 1.02495i | ||||
\(621\) | 2.71143 | − | 2.71143i | 0.108806 | − | 0.108806i | ||||
\(622\) | −17.3350 | + | 4.64489i | −0.695069 | + | 0.186243i | ||||
\(623\) | −8.98620 | −0.360025 | ||||||||
\(624\) | −3.36821 | + | 0.902509i | −0.134836 | + | 0.0361293i | ||||
\(625\) | 24.4531 | − | 5.20035i | 0.978126 | − | 0.208014i | ||||
\(626\) | 11.9046 | − | 20.6194i | 0.475804 | − | 0.824116i | ||||
\(627\) | −8.90559 | − | 15.4249i | −0.355655 | − | 0.616012i | ||||
\(628\) | 7.92710 | − | 7.92710i | 0.316326 | − | 0.316326i | ||||
\(629\) | 7.66514 | + | 9.42912i | 0.305629 | + | 0.375964i | ||||
\(630\) | 0.828149 | + | 0.176006i | 0.0329943 | + | 0.00701224i | ||||
\(631\) | 24.1532 | + | 6.47184i | 0.961525 | + | 0.257640i | 0.705246 | − | 0.708963i | \(-0.250837\pi\) |
0.256279 | + | 0.966603i | \(0.417503\pi\) | |||||||
\(632\) | 23.5291 | − | 6.30461i | 0.935938 | − | 0.250784i | ||||
\(633\) | −8.86151 | − | 33.0716i | −0.352213 | − | 1.31448i | ||||
\(634\) | 0.234761 | + | 0.876139i | 0.00932355 | + | 0.0347959i | ||||
\(635\) | 8.27705 | + | 1.75911i | 0.328465 | + | 0.0698083i | ||||
\(636\) | 4.39569 | − | 7.61356i | 0.174301 | − | 0.301897i | ||||
\(637\) | −26.8839 | −1.06518 | ||||||||
\(638\) | −2.08912 | + | 7.79670i | −0.0827090 | + | 0.308674i | ||||
\(639\) | − | 2.45043i | − | 0.0969377i | ||||||
\(640\) | −15.5383 | + | 10.0913i | −0.614205 | + | 0.398892i | ||||
\(641\) | −0.440835 | − | 0.763549i | −0.0174119 | − | 0.0301584i | 0.857188 | − | 0.515003i | \(-0.172209\pi\) |
−0.874600 | + | 0.484845i | \(0.838876\pi\) | |||||||
\(642\) | 1.63649 | − | 2.83448i | 0.0645870 | − | 0.111868i | ||||
\(643\) | −27.9848 | −1.10361 | −0.551807 | − | 0.833972i | \(-0.686062\pi\) | ||||
−0.551807 | + | 0.833972i | \(0.686062\pi\) | |||||||
\(644\) | −0.336605 | + | 1.25623i | −0.0132641 | + | 0.0495022i | ||||
\(645\) | 44.5859 | − | 14.4881i | 1.75557 | − | 0.570470i | ||||
\(646\) | −1.00250 | + | 3.74139i | −0.0394430 | + | 0.147203i | ||||
\(647\) | 20.1484 | + | 11.6327i | 0.792114 | + | 0.457327i | 0.840706 | − | 0.541491i | \(-0.182140\pi\) |
−0.0485920 | + | 0.998819i | \(0.515473\pi\) | |||||||
\(648\) | 23.6411 | + | 13.6492i | 0.928710 | + | 0.536191i | ||||
\(649\) | 1.56470 | − | 5.83955i | 0.0614199 | − | 0.229222i | ||||
\(650\) | 20.1663 | − | 2.12063i | 0.790988 | − | 0.0831780i | ||||
\(651\) | −5.35214 | + | 19.9745i | −0.209767 | + | 0.782861i | ||||
\(652\) | 1.25228 | 0.0490433 | ||||||||
\(653\) | 19.9298 | − | 34.5194i | 0.779914 | − | 1.35085i | −0.152077 | − | 0.988369i | \(-0.548596\pi\) |
0.931991 | − | 0.362482i | \(-0.118070\pi\) | |||||||
\(654\) | 8.16945 | + | 14.1499i | 0.319451 | + | 0.553305i | ||||
\(655\) | −21.6080 | − | 4.59233i | −0.844295 | − | 0.179437i | ||||
\(656\) | − | 4.34262i | − | 0.169551i | ||||||
\(657\) | −0.697957 | + | 2.60481i | −0.0272299 | + | 0.101623i | ||||
\(658\) | 3.16981 | 0.123572 | ||||||||
\(659\) | −5.64501 | + | 9.77745i | −0.219898 | + | 0.380875i | −0.954777 | − | 0.297324i | \(-0.903906\pi\) |
0.734878 | + | 0.678199i | \(0.237239\pi\) | |||||||
\(660\) | 4.64819 | − | 21.8708i | 0.180930 | − | 0.851320i | ||||
\(661\) | 1.49956 | + | 5.59642i | 0.0583259 | + | 0.217675i | 0.988937 | − | 0.148333i | \(-0.0473908\pi\) |
−0.930612 | + | 0.366008i | \(0.880724\pi\) | |||||||
\(662\) | 0.415939 | + | 1.55230i | 0.0161659 | + | 0.0603320i | ||||
\(663\) | −17.4329 | + | 4.67112i | −0.677037 | + | 0.181411i | ||||
\(664\) | −3.17007 | − | 0.849418i | −0.123023 | − | 0.0329638i | ||||
\(665\) | −5.46900 | + | 3.55181i | −0.212079 | + | 0.137733i | ||||
\(666\) | −0.662534 | + | 1.73577i | −0.0256727 | + | 0.0672597i | ||||
\(667\) | −1.33400 | + | 1.33400i | −0.0516528 | + | 0.0516528i | ||||
\(668\) | 1.22269 | + | 2.11776i | 0.0473073 | + | 0.0819386i | ||||
\(669\) | −10.1597 | + | 17.5971i | −0.392797 | + | 0.680345i | ||||
\(670\) | −7.28527 | + | 8.09154i | −0.281454 | + | 0.312603i | ||||
\(671\) | 26.5460 | − | 7.11298i | 1.02480 | − | 0.274594i | ||||
\(672\) | −13.1812 | −0.508478 | ||||||||
\(673\) | 34.1375 | − | 9.14711i | 1.31590 | − | 0.352595i | 0.468462 | − | 0.883484i | \(-0.344808\pi\) |
0.847442 | + | 0.530888i | \(0.178142\pi\) | |||||||
\(674\) | 0.491059 | − | 0.491059i | 0.0189149 | − | 0.0189149i | ||||
\(675\) | 18.7586 | + | 15.1888i | 0.722019 | + | 0.584617i | ||||
\(676\) | −14.8116 | −0.569676 | ||||||||
\(677\) | 26.8736 | + | 26.8736i | 1.03284 | + | 1.03284i | 0.999442 | + | 0.0333951i | \(0.0106320\pi\) |
0.0333951 | + | 0.999442i | \(0.489368\pi\) | |||||||
\(678\) | −0.845501 | + | 3.15545i | −0.0324713 | + | 0.121184i | ||||
\(679\) | −3.77506 | − | 14.0887i | −0.144874 | − | 0.540675i | ||||
\(680\) | −10.2530 | + | 6.65875i | −0.393184 | + | 0.255351i | ||||
\(681\) | 14.9284 | + | 4.00006i | 0.572059 | + | 0.153283i | ||||
\(682\) | −29.8283 | − | 7.99246i | −1.14218 | − | 0.306047i | ||||
\(683\) | 9.59406 | − | 5.53913i | 0.367107 | − | 0.211949i | −0.305087 | − | 0.952324i | \(-0.598686\pi\) |
0.672194 | + | 0.740375i | \(0.265352\pi\) | |||||||
\(684\) | 1.11233 | − | 0.298049i | 0.0425312 | − | 0.0113962i | ||||
\(685\) | 31.6633 | − | 35.1675i | 1.20979 | − | 1.34368i | ||||
\(686\) | −12.2992 | − | 3.29556i | −0.469586 | − | 0.125825i | ||||
\(687\) | 9.68676 | − | 36.1515i | 0.369573 | − | 1.37927i | ||||
\(688\) | −3.81725 | + | 2.20389i | −0.145531 | + | 0.0840226i | ||||
\(689\) | 12.6153 | − | 12.6153i | 0.480604 | − | 0.480604i | ||||
\(690\) | −1.79825 | + | 1.99726i | −0.0684582 | + | 0.0760345i | ||||
\(691\) | 3.68751 | − | 2.12898i | 0.140279 | − | 0.0809904i | −0.428218 | − | 0.903676i | \(-0.640858\pi\) |
0.568497 | + | 0.822685i | \(0.307525\pi\) | |||||||
\(692\) | 1.87641 | − | 1.87641i | 0.0713304 | − | 0.0713304i | ||||
\(693\) | 1.33963 | − | 1.33963i | 0.0508884 | − | 0.0508884i | ||||
\(694\) | −10.6510 | − | 18.4481i | −0.404308 | − | 0.700281i | ||||
\(695\) | −26.9836 | − | 41.5488i | −1.02355 | − | 1.57603i | ||||
\(696\) | −10.3347 | − | 5.96676i | −0.391737 | − | 0.226170i | ||||
\(697\) | − | 22.4761i | − | 0.851344i | ||||||
\(698\) | −7.34642 | + | 12.7244i | −0.278066 | + | 0.481625i | ||||
\(699\) | −14.4394 | − | 8.33657i | −0.546147 | − | 0.315318i | ||||
\(700\) | −8.08562 | − | 1.28020i | −0.305608 | − | 0.0483871i | ||||
\(701\) | −9.60225 | + | 35.8361i | −0.362672 | + | 1.35351i | 0.507878 | + | 0.861429i | \(0.330430\pi\) |
−0.870549 | + | 0.492081i | \(0.836236\pi\) | |||||||
\(702\) | 13.8433 | + | 13.8433i | 0.522481 | + | 0.522481i | ||||
\(703\) | −5.84524 | − | 13.0620i | −0.220457 | − | 0.492644i | ||||
\(704\) | − | 16.5005i | − | 0.621885i | ||||||
\(705\) | −11.3490 | − | 5.78224i | −0.427429 | − | 0.217772i | ||||
\(706\) | −5.02460 | − | 2.90096i | −0.189103 | − | 0.109179i | ||||
\(707\) | 3.76702 | − | 1.00937i | 0.141673 | − | 0.0379612i | ||||
\(708\) | 3.07862 | + | 1.77744i | 0.115702 | + | 0.0668004i | ||||
\(709\) | 25.2496 | − | 25.2496i | 0.948269 | − | 0.948269i | −0.0504569 | − | 0.998726i | \(-0.516068\pi\) |
0.998726 | + | 0.0504569i | \(0.0160677\pi\) | |||||||
\(710\) | −0.638023 | − | 12.1681i | −0.0239446 | − | 0.456661i | ||||
\(711\) | −2.33247 | − | 2.33247i | −0.0874746 | − | 0.0874746i | ||||
\(712\) | 19.1635 | + | 5.13484i | 0.718183 | + | 0.192436i | ||||
\(713\) | −5.10357 | − | 5.10357i | −0.191130 | − | 0.191130i | ||||
\(714\) | −3.74704 | −0.140230 | ||||||||
\(715\) | 20.5986 | − | 40.4296i | 0.770343 | − | 1.51198i | ||||
\(716\) | −29.8092 | + | 7.98736i | −1.11402 | + | 0.298502i | ||||
\(717\) | − | 11.0391i | − | 0.412264i | ||||||
\(718\) | 7.57849 | + | 13.1263i | 0.282827 | + | 0.489871i | ||||
\(719\) | 37.1866 | − | 21.4697i | 1.38683 | − | 0.800685i | 0.393871 | − | 0.919166i | \(-0.371136\pi\) |
0.992956 | + | 0.118480i | \(0.0378022\pi\) | |||||||
\(720\) | 0.285005 | + | 0.145208i | 0.0106215 | + | 0.00541159i | ||||
\(721\) | −2.56042 | − | 9.55560i | −0.0953549 | − | 0.355869i | ||||
\(722\) | −5.54874 | + | 9.61069i | −0.206503 | + | 0.357673i | ||||
\(723\) | −0.240278 | − | 0.416174i | −0.00893604 | − | 0.0154777i | ||||
\(724\) | −0.804434 | − | 1.39332i | −0.0298965 | − | 0.0517823i | ||||
\(725\) | −9.22909 | − | 7.47277i | −0.342760 | − | 0.277532i | ||||
\(726\) | 6.42506 | + | 6.42506i | 0.238456 | + | 0.238456i | ||||
\(727\) | 5.97867 | + | 3.45179i | 0.221737 | + | 0.128020i | 0.606754 | − | 0.794890i | \(-0.292471\pi\) |
−0.385017 | + | 0.922909i | \(0.625805\pi\) | |||||||
\(728\) | −16.1257 | − | 4.32087i | −0.597659 | − | 0.160142i | ||||
\(729\) | 22.8913i | 0.847826i | ||||||||
\(730\) | −2.78762 | + | 13.1164i | −0.103174 | + | 0.485460i | ||||
\(731\) | −19.7570 | + | 11.4067i | −0.730739 | + | 0.421893i | ||||
\(732\) | 16.1602i | 0.597297i | ||||||||
\(733\) | −1.90920 | − | 7.12522i | −0.0705178 | − | 0.263176i | 0.921662 | − | 0.387994i | \(-0.126832\pi\) |
−0.992180 | + | 0.124818i | \(0.960165\pi\) | |||||||
\(734\) | 9.55154 | + | 9.55154i | 0.352554 | + | 0.352554i | ||||
\(735\) | 16.6678 | + | 15.0070i | 0.614803 | + | 0.553542i | ||||
\(736\) | 2.30030 | − | 3.98424i | 0.0847902 | − | 0.146861i | ||||
\(737\) | 6.30582 | + | 23.5337i | 0.232278 | + | 0.866873i | ||||
\(738\) | 2.97607 | − | 1.71823i | 0.109550 | − | 0.0632490i | ||||
\(739\) | −14.9613 | −0.550359 | −0.275179 | − | 0.961393i | \(-0.588737\pi\) | ||||
−0.275179 | + | 0.961393i | \(0.588737\pi\) | |||||||
\(740\) | 5.51853 | − | 17.0958i | 0.202865 | − | 0.628454i | ||||
\(741\) | 21.2538 | 0.780780 | ||||||||
\(742\) | 3.20779 | − | 1.85202i | 0.117762 | − | 0.0679897i | ||||
\(743\) | −4.39484 | − | 16.4018i | −0.161231 | − | 0.601723i | −0.998491 | − | 0.0549175i | \(-0.982510\pi\) |
0.837260 | − | 0.546805i | \(-0.184156\pi\) | |||||||
\(744\) | 22.8274 | − | 39.5382i | 0.836893 | − | 1.44954i | ||||
\(745\) | −1.80114 | − | 34.3506i | −0.0659886 | − | 1.25851i | ||||
\(746\) | −3.13120 | − | 3.13120i | −0.114641 | − | 0.114641i | ||||
\(747\) | 0.115025 | + | 0.429278i | 0.00420853 | + | 0.0157065i | ||||
\(748\) | 10.8806i | 0.397835i | ||||||||
\(749\) | −2.32222 | + | 1.34073i | −0.0848519 | + | 0.0489893i | ||||
\(750\) | −13.6867 | − | 9.94235i | −0.499769 | − | 0.363043i | ||||
\(751\) | − | 25.3188i | − | 0.923895i | −0.886907 | − | 0.461947i | \(-0.847151\pi\) | ||
0.886907 | − | 0.461947i | \(-0.152849\pi\) | |||||||
\(752\) | 1.15675 | + | 0.309951i | 0.0421825 | + | 0.0113028i | ||||
\(753\) | −40.4329 | − | 23.3439i | −1.47346 | − | 0.850700i | ||||
\(754\) | −6.81078 | − | 6.81078i | −0.248034 | − | 0.248034i | ||||
\(755\) | −32.7387 | − | 16.6801i | −1.19148 | − | 0.607052i | ||||
\(756\) | −3.95184 | − | 6.84478i | −0.143727 | − | 0.248942i | ||||
\(757\) | −8.53899 | − | 14.7900i | −0.310355 | − | 0.537551i | 0.668084 | − | 0.744086i | \(-0.267115\pi\) |
−0.978439 | + | 0.206535i | \(0.933781\pi\) | |||||||
\(758\) | −8.35605 | + | 14.4731i | −0.303505 | + | 0.525687i | ||||
\(759\) | 1.55649 | + | 5.80890i | 0.0564970 | + | 0.210850i | ||||
\(760\) | 13.6925 | − | 4.44935i | 0.496678 | − | 0.161395i | ||||
\(761\) | −44.0238 | + | 25.4171i | −1.59586 | + | 0.921370i | −0.603587 | + | 0.797297i | \(0.706262\pi\) |
−0.992273 | + | 0.124073i | \(0.960404\pi\) | |||||||
\(762\) | −2.86296 | − | 4.95880i | −0.103714 | − | 0.179638i | ||||
\(763\) | − | 13.3861i | − | 0.484608i | ||||||
\(764\) | 9.87121 | − | 2.64498i | 0.357128 | − | 0.0956921i | ||||
\(765\) | 1.47511 | + | 0.751555i | 0.0533326 | + | 0.0271725i | ||||
\(766\) | −5.70472 | −0.206120 | ||||||||
\(767\) | 5.10112 | + | 5.10112i | 0.184191 | + | 0.184191i | ||||
\(768\) | 26.3015 | + | 7.04748i | 0.949075 | + | 0.254304i | ||||
\(769\) | 34.2637 | + | 34.2637i | 1.23558 | + | 1.23558i | 0.961790 | + | 0.273790i | \(0.0882772\pi\) |
0.273790 | + | 0.961790i | \(0.411723\pi\) | |||||||
\(770\) | 6.30340 | − | 7.00100i | 0.227159 | − | 0.252298i | ||||
\(771\) | −18.3056 | + | 18.3056i | −0.659262 | + | 0.659262i | ||||
\(772\) | −23.3743 | − | 13.4951i | −0.841258 | − | 0.485701i | ||||
\(773\) | −6.87810 | + | 1.84298i | −0.247388 | + | 0.0662874i | −0.380382 | − | 0.924829i | \(-0.624208\pi\) |
0.132994 | + | 0.991117i | \(0.457541\pi\) | |||||||
\(774\) | −3.02073 | − | 1.74402i | −0.108578 | − | 0.0626874i | ||||
\(775\) | 28.5890 | − | 35.3082i | 1.02695 | − | 1.26831i | ||||
\(776\) | 32.2020i | 1.15598i | ||||||||
\(777\) | 10.7419 | − | 8.73236i | 0.385365 | − | 0.313272i | ||||
\(778\) | 20.3372 | + | 20.3372i | 0.729124 | + | 0.729124i | ||||
\(779\) | −6.85062 | + | 25.5669i | −0.245449 | + | 0.916028i | ||||
\(780\) | 19.8284 | + | 17.8526i | 0.709969 | + | 0.639226i | ||||
\(781\) | −23.6128 | − | 13.6329i | −0.844933 | − | 0.487822i | ||||
\(782\) | 0.653908 | − | 1.13260i | 0.0233837 | − | 0.0405018i | ||||
\(783\) | − | 11.4651i | − | 0.409728i | ||||||
\(784\) | −1.82621 | − | 1.05436i | −0.0652219 | − | 0.0376559i | ||||
\(785\) | −18.5649 | − | 3.94559i | −0.662611 | − | 0.140824i | ||||
\(786\) | 7.47404 | + | 12.9454i | 0.266590 | + | 0.461748i | ||||
\(787\) | −19.6130 | + | 19.6130i | −0.699129 | + | 0.699129i | −0.964223 | − | 0.265094i | \(-0.914597\pi\) |
0.265094 | + | 0.964223i | \(0.414597\pi\) | |||||||
\(788\) | 25.9137 | − | 25.9137i | 0.923137 | − | 0.923137i | ||||
\(789\) | −18.7167 | + | 10.8061i | −0.666332 | + | 0.384707i | ||||
\(790\) | −12.1897 | − | 10.9750i | −0.433689 | − | 0.390474i | ||||
\(791\) | 1.89249 | − | 1.89249i | 0.0672891 | − | 0.0672891i | ||||
\(792\) | −3.62231 | + | 2.09134i | −0.128713 | + | 0.0743126i | ||||
\(793\) | −8.48783 | + | 31.6770i | −0.301412 | + | 1.12488i | ||||
\(794\) | −9.86210 | − | 2.64254i | −0.349993 | − | 0.0937803i | ||||
\(795\) | −14.8634 | + | 0.779349i | −0.527151 | + | 0.0276406i | ||||
\(796\) | −23.1373 | + | 6.19961i | −0.820079 | + | 0.219739i | ||||
\(797\) | 43.0504 | − | 24.8552i | 1.52492 | − | 0.880415i | 0.525359 | − | 0.850881i | \(-0.323931\pi\) |
0.999564 | − | 0.0295340i | \(-0.00940232\pi\) | |||||||
\(798\) | 4.26231 | + | 1.14208i | 0.150884 | + | 0.0404293i | ||||
\(799\) | 5.98703 | + | 1.60422i | 0.211806 | + | 0.0567532i | ||||
\(800\) | 26.4558 | + | 11.7772i | 0.935353 | + | 0.416387i | ||||
\(801\) | −0.695340 | − | 2.59504i | −0.0245686 | − | 0.0916914i | ||||
\(802\) | 6.68662 | − | 24.9548i | 0.236113 | − | 0.881185i | ||||
\(803\) | 21.2174 | + | 21.2174i | 0.748745 | + | 0.748745i | ||||
\(804\) | −14.3264 | −0.505252 | ||||||||
\(805\) | 2.09404 | − | 0.680454i | 0.0738050 | − | 0.0239829i | ||||
\(806\) | 26.0564 | − | 26.0564i | 0.917797 | − | 0.917797i | ||||
\(807\) | −41.2939 | + | 11.0647i | −1.45361 | + | 0.389495i | ||||
\(808\) | −8.61011 | −0.302903 | ||||||||
\(809\) | −15.7995 | + | 4.23346i | −0.555480 | + | 0.148841i | −0.525629 | − | 0.850714i | \(-0.676170\pi\) |
−0.0298512 | + | 0.999554i | \(0.509503\pi\) | |||||||
\(810\) | −0.962499 | − | 18.3564i | −0.0338188 | − | 0.644977i | ||||
\(811\) | −7.45897 | + | 12.9193i | −0.261920 | + | 0.453659i | −0.966752 | − | 0.255716i | \(-0.917689\pi\) |
0.704832 | + | 0.709374i | \(0.251022\pi\) | |||||||
\(812\) | 1.94427 | + | 3.36758i | 0.0682306 | + | 0.118179i | ||||
\(813\) | −8.36044 | + | 8.36044i | −0.293214 | + | 0.293214i | ||||
\(814\) | 13.0402 | + | 16.0412i | 0.457060 | + | 0.562243i | ||||
\(815\) | −1.15475 | − | 1.77805i | −0.0404490 | − | 0.0622825i | ||||
\(816\) | −1.36740 | − | 0.366395i | −0.0478687 | − | 0.0128264i | ||||
\(817\) | 25.9506 | − | 6.95343i | 0.907895 | − | 0.243270i | ||||
\(818\) | 5.82234 | + | 21.7293i | 0.203573 | + | 0.759746i | ||||
\(819\) | 0.585115 | + | 2.18368i | 0.0204456 | + | 0.0763040i | ||||
\(820\) | −27.8666 | + | 18.0978i | −0.973143 | + | 0.632003i | ||||
\(821\) | 5.80160 | − | 10.0487i | 0.202477 | − | 0.350701i | −0.746849 | − | 0.664994i | \(-0.768434\pi\) |
0.949326 | + | 0.314293i | \(0.101767\pi\) | |||||||
\(822\) | −32.0210 | −1.11686 | ||||||||
\(823\) | −6.12304 | + | 22.8515i | −0.213436 | + | 0.796553i | 0.773276 | + | 0.634070i | \(0.218617\pi\) |
−0.986711 | + | 0.162483i | \(0.948050\pi\) | |||||||
\(824\) | 21.8408i | 0.760862i | ||||||||
\(825\) | −35.3394 | + | 13.5676i | −1.23036 | + | 0.472364i | ||||
\(826\) | 0.748883 | + | 1.29710i | 0.0260570 | + | 0.0451320i | ||||
\(827\) | 3.22817 | − | 5.59136i | 0.112255 | − | 0.194431i | −0.804424 | − | 0.594055i | \(-0.797526\pi\) |
0.916679 | + | 0.399624i | \(0.130859\pi\) | |||||||
\(828\) | −0.388820 | −0.0135124 | ||||||||
\(829\) | −2.90505 | + | 10.8418i | −0.100897 | + | 0.376551i | −0.997847 | − | 0.0655791i | \(-0.979111\pi\) |
0.896951 | + | 0.442131i | \(0.145777\pi\) | |||||||
\(830\) | 0.682949 | + | 2.10171i | 0.0237055 | + | 0.0729516i | ||||
\(831\) | 8.72547 | − | 32.5639i | 0.302683 | − | 1.12963i | ||||
\(832\) | 17.0519 | + | 9.84490i | 0.591167 | + | 0.341310i | ||||
\(833\) | −9.45196 | − | 5.45709i | −0.327491 | − | 0.189077i | ||||
\(834\) | −8.67656 | + | 32.3814i | −0.300445 | + | 1.12127i | ||||
\(835\) | 1.87944 | − | 3.68884i | 0.0650406 | − | 0.127658i | ||||
\(836\) | 3.31636 | − | 12.3768i | 0.114699 | − | 0.428062i | ||||
\(837\) | 43.8626 | 1.51611 | ||||||||
\(838\) | 14.5810 | − | 25.2550i | 0.503692 | − | 0.872420i | ||||
\(839\) | 19.3905 | + | 33.5854i | 0.669435 | + | 1.15950i | 0.978062 | + | 0.208312i | \(0.0667970\pi\) |
−0.308628 | + | 0.951183i | \(0.599870\pi\) | |||||||
\(840\) | 7.58585 | + | 11.6805i | 0.261737 | + | 0.403016i | ||||
\(841\) | − | 23.3593i | − | 0.805492i | ||||||
\(842\) | −1.94588 | + | 7.26211i | −0.0670593 | + | 0.250269i | ||||
\(843\) | 36.6328 | 1.26170 | ||||||||
\(844\) | 12.3156 | − | 21.3312i | 0.423920 | − | 0.734251i | ||||
\(845\) | 13.6579 | + | 21.0302i | 0.469847 | + | 0.723460i | ||||
\(846\) | 0.245275 | + | 0.915380i | 0.00843274 | + | 0.0314714i | ||||
\(847\) | −1.92672 | − | 7.19061i | −0.0662028 | − | 0.247072i | ||||
\(848\) | 1.35171 | − | 0.362190i | 0.0464179 | − | 0.0124376i | ||||
\(849\) | −19.7176 | − | 5.28331i | −0.676705 | − | 0.181323i | ||||
\(850\) | 7.52061 | + | 3.34792i | 0.257955 | + | 0.114833i | ||||
\(851\) | 0.764883 | + | 4.77083i | 0.0262199 | + | 0.163542i | ||||
\(852\) | 11.3369 | − | 11.3369i | 0.388395 | − | 0.388395i | ||||
\(853\) | 19.3647 | + | 33.5407i | 0.663035 | + | 1.14841i | 0.979814 | + | 0.199911i | \(0.0640653\pi\) |
−0.316779 | + | 0.948499i | \(0.602601\pi\) | |||||||
\(854\) | −3.40435 | + | 5.89651i | −0.116494 | + | 0.201774i | ||||
\(855\) | −1.44888 | − | 1.30451i | −0.0495507 | − | 0.0446133i | ||||
\(856\) | 5.71835 | − | 1.53223i | 0.195449 | − | 0.0523705i | ||||
\(857\) | −32.5958 | −1.11345 | −0.556726 | − | 0.830696i | \(-0.687943\pi\) | ||||
−0.556726 | + | 0.830696i | \(0.687943\pi\) | |||||||
\(858\) | −29.6574 | + | 7.94669i | −1.01249 | + | 0.271295i | ||||
\(859\) | 25.5200 | − | 25.5200i | 0.870731 | − | 0.870731i | −0.121821 | − | 0.992552i | \(-0.538873\pi\) |
0.992552 | + | 0.121821i | \(0.0388734\pi\) | |||||||
\(860\) | 30.0508 | + | 15.3106i | 1.02472 | + | 0.522088i | ||||
\(861\) | −25.6055 | −0.872633 | ||||||||
\(862\) | 14.9705 | + | 14.9705i | 0.509898 | + | 0.509898i | ||||
\(863\) | 2.11358 | − | 7.88799i | 0.0719471 | − | 0.268510i | −0.920577 | − | 0.390562i | \(-0.872281\pi\) |
0.992524 | + | 0.122052i | \(0.0389474\pi\) | |||||||
\(864\) | 7.23629 | + | 27.0062i | 0.246183 | + | 0.918769i | ||||
\(865\) | −4.39447 | − | 0.933954i | −0.149417 | − | 0.0317554i | ||||
\(866\) | 19.1617 | + | 5.13435i | 0.651139 | + | 0.174472i | ||||
\(867\) | 23.0699 | + | 6.18156i | 0.783495 | + | 0.209937i | ||||
\(868\) | −12.8835 | + | 7.43831i | −0.437296 | + | 0.252473i | ||||
\(869\) | −35.4527 | + | 9.49953i | −1.20265 | + | 0.322250i | ||||
\(870\) | 0.420758 | + | 8.02451i | 0.0142650 | + | 0.272057i | ||||
\(871\) | −28.0824 | − | 7.52466i | −0.951536 | − | 0.254963i | ||||
\(872\) | −7.64898 | + | 28.5464i | −0.259027 | + | 0.966703i | ||||
\(873\) | 3.77645 | − | 2.18033i | 0.127813 | − | 0.0737931i | ||||
\(874\) | −1.08904 | + | 1.08904i | −0.0368374 | + | 0.0368374i | ||||
\(875\) | 5.63815 | + | 12.6608i | 0.190604 | + | 0.428014i | ||||
\(876\) | −15.2802 | + | 8.82200i | −0.516269 | + | 0.298068i | ||||
\(877\) | 9.48217 | − | 9.48217i | 0.320190 | − | 0.320190i | −0.528650 | − | 0.848840i | \(-0.677302\pi\) |
0.848840 | + | 0.528650i | \(0.177302\pi\) | |||||||
\(878\) | 8.68201 | − | 8.68201i | 0.293004 | − | 0.293004i | ||||
\(879\) | 26.7167 | + | 46.2747i | 0.901131 | + | 1.56081i | ||||
\(880\) | 2.98487 | − | 1.93851i | 0.100620 | − | 0.0653470i | ||||
\(881\) | −18.1684 | − | 10.4895i | −0.612110 | − | 0.353402i | 0.161681 | − | 0.986843i | \(-0.448308\pi\) |
−0.773791 | + | 0.633441i | \(0.781642\pi\) | |||||||
\(882\) | − | 1.66871i | − | 0.0561885i | ||||||
\(883\) | −12.2856 | + | 21.2792i | −0.413442 | + | 0.716103i | −0.995264 | − | 0.0972140i | \(-0.969007\pi\) |
0.581822 | + | 0.813316i | \(0.302340\pi\) | |||||||
\(884\) | −11.2442 | − | 6.49185i | −0.378184 | − | 0.218345i | ||||
\(885\) | −0.315138 | − | 6.01017i | −0.0105932 | − | 0.202030i | ||||
\(886\) | 5.76777 | − | 21.5256i | 0.193772 | − | 0.723167i | ||||
\(887\) | −7.43917 | − | 7.43917i | −0.249783 | − | 0.249783i | 0.571099 | − | 0.820881i | \(-0.306517\pi\) |
−0.820881 | + | 0.571099i | \(0.806517\pi\) | |||||||
\(888\) | −27.8975 | + | 12.4841i | −0.936179 | + | 0.418938i | ||||
\(889\) | 4.69111i | 0.157335i | ||||||||
\(890\) | −4.12852 | − | 12.7051i | −0.138388 | − | 0.425878i | ||||
\(891\) | −35.6215 | − | 20.5661i | −1.19336 | − | 0.688990i | ||||
\(892\) | −14.1198 | + | 3.78339i | −0.472766 | + | 0.126677i | ||||
\(893\) | −6.32136 | − | 3.64964i | −0.211536 | − | 0.122130i | ||||
\(894\) | −16.4586 | + | 16.4586i | −0.550457 | + | 0.550457i | ||||
\(895\) | 38.8283 | + | 34.9593i | 1.29789 | + | 1.16856i | ||||
\(896\) | −7.26292 | − | 7.26292i | −0.242637 | − | 0.242637i | ||||
\(897\) | −6.93168 | − | 1.85734i | −0.231442 | − | 0.0620148i | ||||
\(898\) | −4.13547 | − | 4.13547i | −0.138002 | − | 0.138002i | ||||
\(899\) | −21.5801 | −0.719735 | ||||||||
\(900\) | −0.255956 | − | 2.43403i | −0.00853187 | − | 0.0811344i | ||||
\(901\) | 6.99606 | − | 1.87459i | 0.233073 | − | 0.0624516i | ||||
\(902\) | − | 38.2372i | − | 1.27316i | ||||||
\(903\) | 12.9949 | + | 22.5078i | 0.432442 | + | 0.749012i | ||||
\(904\) | −5.11721 | + | 2.95442i | −0.170196 | + | 0.0982627i | ||||
\(905\) | −1.23652 | + | 2.42697i | −0.0411034 | + | 0.0806752i | ||||
\(906\) | 6.43500 | + | 24.0157i | 0.213788 | + | 0.797870i | ||||
\(907\) | 17.8411 | − | 30.9017i | 0.592404 | − | 1.02607i | −0.401504 | − | 0.915857i | \(-0.631512\pi\) |
0.993908 | − | 0.110216i | \(-0.0351544\pi\) | |||||||
\(908\) | 5.55922 | + | 9.62885i | 0.184489 | + | 0.319545i | ||||
\(909\) | 0.582974 | + | 1.00974i | 0.0193360 | + | 0.0334910i | ||||
\(910\) | 3.47407 | + | 10.6911i | 0.115164 | + | 0.354408i | ||||
\(911\) | −14.7906 | − | 14.7906i | −0.490033 | − | 0.490033i | 0.418283 | − | 0.908317i | \(-0.362632\pi\) |
−0.908317 | + | 0.418283i | \(0.862632\pi\) | |||||||
\(912\) | 1.44376 | + | 0.833558i | 0.0478078 | + | 0.0276019i | ||||
\(913\) | 4.77654 | + | 1.27987i | 0.158080 | + | 0.0423575i | ||||
\(914\) | 10.7979i | 0.357163i | ||||||||
\(915\) | 22.9450 | − | 14.9015i | 0.758537 | − | 0.492628i | ||||
\(916\) | 23.3177 | − | 13.4625i | 0.770440 | − | 0.444814i | ||||
\(917\) | − | 12.2466i | − | 0.404418i | ||||||
\(918\) | 2.05707 | + | 7.67707i | 0.0678933 | + | 0.253381i | ||||
\(919\) | 11.5779 | + | 11.5779i | 0.381920 | + | 0.381920i | 0.871794 | − | 0.489873i | \(-0.162957\pi\) |
−0.489873 | + | 0.871794i | \(0.662957\pi\) | |||||||
\(920\) | −4.85445 | + | 0.254539i | −0.160047 | + | 0.00839189i | ||||
\(921\) | −22.8342 | + | 39.5499i | −0.752411 | + | 1.30321i | ||||
\(922\) | −4.66933 | − | 17.4262i | −0.153776 | − | 0.573901i | ||||
\(923\) | 28.1769 | − | 16.2679i | 0.927454 | − | 0.535466i | ||||
\(924\) | 12.3955 | 0.407783 | ||||||||
\(925\) | −29.3621 | + | 7.92879i | −0.965421 | + | 0.260697i | ||||
\(926\) | −22.3916 | −0.735835 | ||||||||
\(927\) | 2.56136 | − | 1.47880i | 0.0841259 | − | 0.0485701i | ||||
\(928\) | −3.56020 | − | 13.2868i | −0.116869 | − | 0.436162i | ||||
\(929\) | 7.03355 | − | 12.1825i | 0.230763 | − | 0.399694i | −0.727270 | − | 0.686352i | \(-0.759211\pi\) |
0.958033 | + | 0.286658i | \(0.0925443\pi\) | |||||||
\(930\) | −30.6998 | + | 1.60972i | −1.00669 | + | 0.0527847i | ||||
\(931\) | 9.08842 | + | 9.08842i | 0.297861 | + | 0.297861i | ||||
\(932\) | −3.10447 | − | 11.5860i | −0.101690 | − | 0.379513i | ||||
\(933\) | 39.9784i | 1.30884i | ||||||||
\(934\) | −8.15879 | + | 4.71048i | −0.266964 | + | 0.154132i | ||||
\(935\) | 15.4488 | − | 10.0331i | 0.505230 | − | 0.328119i | ||||
\(936\) | − | 4.99115i | − | 0.163141i | ||||||
\(937\) | 24.5217 | + | 6.57057i | 0.801090 | + | 0.214651i | 0.636062 | − | 0.771638i | \(-0.280562\pi\) |
0.165027 | + | 0.986289i | \(0.447229\pi\) | |||||||
\(938\) | −5.22739 | − | 3.01803i | −0.170680 | − | 0.0985423i | ||||
\(939\) | −37.5039 | − | 37.5039i | −1.22389 | − | 1.22389i | ||||
\(940\) | −2.83180 | − | 8.71461i | −0.0923632 | − | 0.284239i | ||||
\(941\) | 29.3296 | + | 50.8003i | 0.956116 | + | 1.65604i | 0.731793 | + | 0.681527i | \(0.238684\pi\) |
0.224324 | + | 0.974515i | \(0.427983\pi\) | |||||||
\(942\) | 6.42146 | + | 11.1223i | 0.209223 | + | 0.362384i | ||||
\(943\) | 4.46850 | − | 7.73966i | 0.145514 | − | 0.252038i | ||||
\(944\) | 0.146455 | + | 0.546578i | 0.00476671 | + | 0.0177896i | ||||
\(945\) | −6.07450 | + | 11.9227i | −0.197604 | + | 0.387844i | ||||
\(946\) | −33.6114 | + | 19.4055i | −1.09280 | + | 0.630928i | ||||
\(947\) | −20.3531 | − | 35.2526i | −0.661386 | − | 1.14555i | −0.980252 | − | 0.197754i | \(-0.936635\pi\) |
0.318865 | − | 0.947800i | \(-0.396698\pi\) | |||||||
\(948\) | − | 21.5822i | − | 0.700959i | ||||||
\(949\) | −34.5856 | + | 9.26719i | −1.12270 | + | 0.300826i | ||||
\(950\) | −7.53435 | − | 6.10055i | −0.244447 | − | 0.197928i | ||||
\(951\) | 2.02058 | 0.0655217 | ||||||||
\(952\) | −4.79246 | − | 4.79246i | −0.155325 | − | 0.155325i | ||||
\(953\) | 6.73269 | + | 1.80402i | 0.218093 | + | 0.0584379i | 0.366211 | − | 0.930532i | \(-0.380655\pi\) |
−0.148118 | + | 0.988970i | \(0.547321\pi\) | |||||||
\(954\) | 0.783042 | + | 0.783042i | 0.0253519 | + | 0.0253519i | ||||
\(955\) | −12.8578 | − | 11.5766i | −0.416070 | − | 0.374611i | ||||
\(956\) | 5.61556 | − | 5.61556i | 0.181620 | − | 0.181620i | ||||
\(957\) | 15.5720 | + | 8.99049i | 0.503371 | + | 0.290621i | ||||
\(958\) | 7.81712 | − | 2.09459i | 0.252560 | − | 0.0676731i | ||||
\(959\) | 22.7193 | + | 13.1170i | 0.733644 | + | 0.423570i | ||||
\(960\) | −5.07647 | − | 15.6224i | −0.163842 | − | 0.504210i | ||||
\(961\) | − | 51.5600i | − | 1.66323i | ||||||
\(962\) | −24.3576 | + | 3.90513i | −0.785320 | + | 0.125906i | ||||
\(963\) | −0.566868 | − | 0.566868i | −0.0182671 | − | 0.0182671i | ||||
\(964\) | 0.0894775 | − | 0.333935i | 0.00288188 | − | 0.0107553i | ||||
\(965\) | 2.39266 | + | 45.6319i | 0.0770226 | + | 1.46894i | ||||
\(966\) | −1.29030 | − | 0.744953i | −0.0415146 | − | 0.0239685i | ||||
\(967\) | 0.511694 | − | 0.886281i | 0.0164550 | − | 0.0285009i | −0.857681 | − | 0.514183i | \(-0.828095\pi\) |
0.874136 | + | 0.485682i | \(0.161429\pi\) | |||||||
\(968\) | 16.4353i | 0.528250i | ||||||||
\(969\) | 7.47251 | + | 4.31425i | 0.240052 | + | 0.138594i | ||||
\(970\) | 18.1850 | − | 11.8101i | 0.583884 | − | 0.379201i | ||||
\(971\) | 7.81561 | + | 13.5370i | 0.250815 | + | 0.434424i | 0.963750 | − | 0.266805i | \(-0.0859681\pi\) |
−0.712936 | + | 0.701230i | \(0.752635\pi\) | |||||||
\(972\) | 3.57722 | − | 3.57722i | 0.114739 | − | 0.114739i | ||||
\(973\) | 19.4208 | − | 19.4208i | 0.622601 | − | 0.622601i | ||||
\(974\) | 20.5246 | − | 11.8499i | 0.657652 | − | 0.379695i | ||||
\(975\) | 7.06398 | − | 44.6153i | 0.226228 | − | 1.42883i | ||||
\(976\) | −1.81892 | + | 1.81892i | −0.0582222 | + | 0.0582222i | ||||
\(977\) | −18.4196 | + | 10.6345i | −0.589295 | + | 0.340229i | −0.764819 | − | 0.644246i | \(-0.777171\pi\) |
0.175524 | + | 0.984475i | \(0.443838\pi\) | |||||||
\(978\) | −0.371308 | + | 1.38574i | −0.0118731 | + | 0.0443111i | ||||
\(979\) | −28.8748 | − | 7.73698i | −0.922843 | − | 0.247275i | ||||
\(980\) | 0.844863 | + | 16.1129i | 0.0269882 | + | 0.514707i | ||||
\(981\) | 3.86564 | − | 1.03579i | 0.123420 | − | 0.0330704i | ||||
\(982\) | −22.4898 | + | 12.9845i | −0.717677 | + | 0.414351i | ||||
\(983\) | −46.1634 | − | 12.3694i | −1.47238 | − | 0.394524i | −0.568635 | − | 0.822590i | \(-0.692528\pi\) |
−0.903748 | + | 0.428066i | \(0.859195\pi\) | |||||||
\(984\) | 54.6049 | + | 14.6313i | 1.74074 | + | 0.466430i | ||||
\(985\) | −60.6888 | − | 12.8981i | −1.93370 | − | 0.410969i | ||||
\(986\) | −1.01206 | − | 3.77706i | −0.0322306 | − | 0.120286i | ||||
\(987\) | 1.82757 | − | 6.82060i | 0.0581723 | − | 0.217102i | ||||
\(988\) | 10.8118 | + | 10.8118i | 0.343968 | + | 0.343968i | ||||
\(989\) | −9.07111 | −0.288445 | ||||||||
\(990\) | 2.50950 | + | 1.27857i | 0.0797573 | + | 0.0406357i | ||||
\(991\) | −35.6021 | + | 35.6021i | −1.13094 | + | 1.13094i | −0.140916 | + | 0.990021i | \(0.545005\pi\) |
−0.990021 | + | 0.140916i | \(0.954995\pi\) | |||||||
\(992\) | 50.8322 | − | 13.6204i | 1.61392 | − | 0.432450i | ||||
\(993\) | 3.57997 | 0.113607 | ||||||||
\(994\) | 6.52484 | − | 1.74833i | 0.206955 | − | 0.0554535i | ||||
\(995\) | 30.1377 | + | 27.1346i | 0.955428 | + | 0.860226i | ||||
\(996\) | −1.45388 | + | 2.51820i | −0.0460681 | + | 0.0797923i | ||||
\(997\) | 14.7106 | + | 25.4796i | 0.465891 | + | 0.806947i | 0.999241 | − | 0.0389477i | \(-0.0124006\pi\) |
−0.533350 | + | 0.845894i | \(0.679067\pi\) | |||||||
\(998\) | 17.3085 | − | 17.3085i | 0.547890 | − | 0.547890i | ||||
\(999\) | −23.7883 | − | 17.2145i | −0.752629 | − | 0.544644i |
(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 | 185.2.u.a.8.7 | yes | 68 | |
5.2 | odd | 4 | 185.2.p.a.82.7 | ✓ | 68 | ||
5.3 | odd | 4 | 925.2.t.b.82.11 | 68 | |||
5.4 | even | 2 | 925.2.y.b.193.11 | 68 | |||
37.14 | odd | 12 | 185.2.p.a.88.7 | yes | 68 | ||
185.14 | odd | 12 | 925.2.t.b.643.11 | 68 | |||
185.88 | even | 12 | 925.2.y.b.532.11 | 68 | |||
185.162 | even | 12 | inner | 185.2.u.a.162.7 | yes | 68 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
185.2.p.a.82.7 | ✓ | 68 | 5.2 | odd | 4 | ||
185.2.p.a.88.7 | yes | 68 | 37.14 | odd | 12 | ||
185.2.u.a.8.7 | yes | 68 | 1.1 | even | 1 | trivial | |
185.2.u.a.162.7 | yes | 68 | 185.162 | even | 12 | inner | |
925.2.t.b.82.11 | 68 | 5.3 | odd | 4 | |||
925.2.t.b.643.11 | 68 | 185.14 | odd | 12 | |||
925.2.y.b.193.11 | 68 | 5.4 | even | 2 | |||
925.2.y.b.532.11 | 68 | 185.88 | even | 12 |