Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(128,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.128");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 735.y (of order \(12\), degree \(4\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.86900454856\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 128.1 | ||
Character | \(\chi\) | \(=\) | 735.128 |
Dual form | 735.2.y.i.557.1 |
$q$-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 \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.35640 | + | 0.631395i | −1.66623 | + | 0.446464i | −0.964089 | − | 0.265578i | \(-0.914437\pi\) |
−0.702137 | + | 0.712042i | \(0.747770\pi\) | |||||||
\(3\) | −1.72899 | − | 0.102851i | −0.998235 | − | 0.0593810i | ||||
\(4\) | 3.42191 | − | 1.97564i | 1.71095 | − | 0.987819i | ||||
\(5\) | −0.0540016 | + | 2.23542i | −0.0241502 | + | 0.999708i | ||||
\(6\) | 4.13914 | − | 0.849321i | 1.68980 | − | 0.346734i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −3.36596 | + | 3.36596i | −1.19005 | + | 1.19005i | ||||
\(9\) | 2.97884 | + | 0.355658i | 0.992948 | + | 0.118553i | ||||
\(10\) | −1.28418 | − | 5.30163i | −0.406094 | − | 1.67652i | ||||
\(11\) | 3.08053 | − | 1.77855i | 0.928816 | − | 0.536252i | 0.0423788 | − | 0.999102i | \(-0.486506\pi\) |
0.886437 | + | 0.462850i | \(0.153173\pi\) | |||||||
\(12\) | −6.11965 | + | 3.06392i | −1.76659 | + | 0.884478i | ||||
\(13\) | −1.28412 | − | 1.28412i | −0.356151 | − | 0.356151i | 0.506241 | − | 0.862392i | \(-0.331035\pi\) |
−0.862392 | + | 0.506241i | \(0.831035\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.323283 | − | 3.85947i | 0.0834714 | − | 0.996510i | ||||
\(16\) | 1.85502 | − | 3.21299i | 0.463755 | − | 0.803247i | ||||
\(17\) | 0.792145 | − | 2.95633i | 0.192123 | − | 0.717015i | −0.800869 | − | 0.598839i | \(-0.795629\pi\) |
0.992993 | − | 0.118175i | \(-0.0377045\pi\) | |||||||
\(18\) | −7.24390 | + | 1.04276i | −1.70740 | + | 0.245780i | ||||
\(19\) | −0.331717 | − | 0.191517i | −0.0761011 | − | 0.0439370i | 0.461467 | − | 0.887158i | \(-0.347323\pi\) |
−0.537568 | + | 0.843221i | \(0.680657\pi\) | |||||||
\(20\) | 4.23159 | + | 7.75607i | 0.946211 | + | 1.73431i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −6.13600 | + | 6.13600i | −1.30820 | + | 1.30820i | ||||
\(23\) | 0.658656 | + | 2.45814i | 0.137339 | + | 0.512557i | 0.999977 | + | 0.00673550i | \(0.00214399\pi\) |
−0.862638 | + | 0.505822i | \(0.831189\pi\) | |||||||
\(24\) | 6.16592 | − | 5.47354i | 1.25861 | − | 1.11728i | ||||
\(25\) | −4.99417 | − | 0.241432i | −0.998834 | − | 0.0482864i | ||||
\(26\) | 3.83669 | + | 2.21512i | 0.752437 | + | 0.434420i | ||||
\(27\) | −5.11382 | − | 0.921307i | −0.984156 | − | 0.177306i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −5.51741 | −1.02456 | −0.512279 | − | 0.858819i | \(-0.671199\pi\) | ||||
−0.512279 | + | 0.858819i | \(0.671199\pi\) | |||||||
\(30\) | 1.67507 | + | 9.29857i | 0.305824 | + | 1.69768i | ||||
\(31\) | −0.323980 | − | 0.561149i | −0.0581885 | − | 0.100785i | 0.835464 | − | 0.549546i | \(-0.185199\pi\) |
−0.893652 | + | 0.448760i | \(0.851866\pi\) | |||||||
\(32\) | 0.121554 | − | 0.453646i | 0.0214880 | − | 0.0801941i | ||||
\(33\) | −5.50915 | + | 2.75826i | −0.959020 | + | 0.480152i | ||||
\(34\) | 7.46644i | 1.28048i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 10.8960 | − | 4.66809i | 1.81600 | − | 0.778015i | ||||
\(37\) | −1.34101 | − | 5.00473i | −0.220461 | − | 0.822772i | −0.984172 | − | 0.177214i | \(-0.943291\pi\) |
0.763711 | − | 0.645558i | \(-0.223375\pi\) | |||||||
\(38\) | 0.902580 | + | 0.241846i | 0.146418 | + | 0.0392325i | ||||
\(39\) | 2.08817 | + | 2.35231i | 0.334374 | + | 0.376671i | ||||
\(40\) | −7.34256 | − | 7.70609i | −1.16096 | − | 1.21844i | ||||
\(41\) | − | 10.1075i | − | 1.57852i | −0.614060 | − | 0.789259i | \(-0.710465\pi\) | ||
0.614060 | − | 0.789259i | \(-0.289535\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.335236 | − | 0.335236i | −0.0511231 | − | 0.0511231i | 0.681083 | − | 0.732206i | \(-0.261509\pi\) |
−0.732206 | + | 0.681083i | \(0.761509\pi\) | |||||||
\(44\) | 7.02753 | − | 12.1720i | 1.05944 | − | 1.83500i | ||||
\(45\) | −0.955905 | + | 6.63975i | −0.142498 | + | 0.989795i | ||||
\(46\) | −3.10411 | − | 5.37648i | −0.457677 | − | 0.792719i | ||||
\(47\) | 2.80533 | − | 0.751687i | 0.409200 | − | 0.109645i | −0.0483463 | − | 0.998831i | \(-0.515395\pi\) |
0.457546 | + | 0.889186i | \(0.348728\pi\) | |||||||
\(48\) | −3.53778 | + | 5.36445i | −0.510634 | + | 0.774291i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 11.9207 | − | 2.58438i | 1.68584 | − | 0.365487i | ||||
\(51\) | −1.67368 | + | 5.03000i | −0.234362 | + | 0.704341i | ||||
\(52\) | −6.93111 | − | 1.85718i | −0.961171 | − | 0.257545i | ||||
\(53\) | 3.04243 | + | 0.815217i | 0.417910 | + | 0.111979i | 0.461645 | − | 0.887065i | \(-0.347259\pi\) |
−0.0437355 | + | 0.999043i | \(0.513926\pi\) | |||||||
\(54\) | 12.6319 | − | 1.05788i | 1.71899 | − | 0.143959i | ||||
\(55\) | 3.80944 | + | 6.98232i | 0.513664 | + | 0.941495i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.553839 | + | 0.365249i | 0.0733578 | + | 0.0483784i | ||||
\(58\) | 13.0012 | − | 3.48367i | 1.70714 | − | 0.457428i | ||||
\(59\) | 3.81595 | + | 6.60942i | 0.496795 | + | 0.860474i | 0.999993 | − | 0.00369723i | \(-0.00117687\pi\) |
−0.503198 | + | 0.864171i | \(0.667844\pi\) | |||||||
\(60\) | −6.51867 | − | 13.8454i | −0.841556 | − | 1.78744i | ||||
\(61\) | 5.45977 | − | 9.45659i | 0.699051 | − | 1.21079i | −0.269744 | − | 0.962932i | \(-0.586939\pi\) |
0.968796 | − | 0.247860i | \(-0.0797274\pi\) | |||||||
\(62\) | 1.11773 | + | 1.11773i | 0.141952 | + | 0.141952i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.56580i | 1.07072i | ||||||||
\(65\) | 2.93989 | − | 2.80120i | 0.364649 | − | 0.347446i | ||||
\(66\) | 11.2402 | − | 9.97802i | 1.38357 | − | 1.22821i | ||||
\(67\) | 12.3899 | + | 3.31987i | 1.51367 | + | 0.405586i | 0.917652 | − | 0.397386i | \(-0.130082\pi\) |
0.596017 | + | 0.802972i | \(0.296749\pi\) | |||||||
\(68\) | −3.12999 | − | 11.6813i | −0.379567 | − | 1.41656i | ||||
\(69\) | −0.885991 | − | 4.31785i | −0.106661 | − | 0.519808i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 3.06673i | − | 0.363954i | −0.983303 | − | 0.181977i | \(-0.941750\pi\) | ||
0.983303 | − | 0.181977i | \(-0.0582497\pi\) | |||||||
\(72\) | −11.2238 | + | 8.82954i | −1.32274 | + | 1.04057i | ||||
\(73\) | 0.849702 | − | 3.17113i | 0.0994501 | − | 0.371153i | −0.898206 | − | 0.439574i | \(-0.855129\pi\) |
0.997657 | + | 0.0684210i | \(0.0217961\pi\) | |||||||
\(74\) | 6.31993 | + | 10.9464i | 0.734676 | + | 1.27250i | ||||
\(75\) | 8.61006 | + | 0.931090i | 0.994204 | + | 0.107513i | ||||
\(76\) | −1.51347 | −0.173607 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −6.40579 | − | 4.22453i | −0.725313 | − | 0.478334i | ||||
\(79\) | −3.21262 | − | 1.85480i | −0.361448 | − | 0.208682i | 0.308268 | − | 0.951300i | \(-0.400251\pi\) |
−0.669716 | + | 0.742618i | \(0.733584\pi\) | |||||||
\(80\) | 7.08219 | + | 4.32025i | 0.791813 | + | 0.483018i | ||||
\(81\) | 8.74702 | + | 2.11890i | 0.971891 | + | 0.235433i | ||||
\(82\) | 6.38180 | + | 23.8172i | 0.704752 | + | 2.63017i | ||||
\(83\) | −0.973978 | + | 0.973978i | −0.106908 | + | 0.106908i | −0.758537 | − | 0.651629i | \(-0.774086\pi\) |
0.651629 | + | 0.758537i | \(0.274086\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.56584 | + | 1.93042i | 0.712166 | + | 0.209384i | ||||
\(86\) | 1.00162 | + | 0.578284i | 0.108007 | + | 0.0623580i | ||||
\(87\) | 9.53957 | + | 0.567471i | 1.02275 | + | 0.0608393i | ||||
\(88\) | −4.38244 | + | 16.3555i | −0.467169 | + | 1.74350i | ||||
\(89\) | 1.51967 | − | 2.63215i | 0.161085 | − | 0.279007i | −0.774173 | − | 0.632974i | \(-0.781834\pi\) |
0.935258 | + | 0.353967i | \(0.115167\pi\) | |||||||
\(90\) | −1.93981 | − | 16.2494i | −0.204474 | − | 1.71284i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 7.11025 | + | 7.11025i | 0.741295 | + | 0.741295i | ||||
\(93\) | 0.502444 | + | 1.00355i | 0.0521011 | + | 0.104063i | ||||
\(94\) | −6.13587 | + | 3.54255i | −0.632867 | + | 0.365386i | ||||
\(95\) | 0.446033 | − | 0.731183i | 0.0457620 | − | 0.0750178i | ||||
\(96\) | −0.256825 | + | 0.771850i | −0.0262120 | + | 0.0787766i | ||||
\(97\) | 10.3438 | − | 10.3438i | 1.05025 | − | 1.05025i | 0.0515850 | − | 0.998669i | \(-0.483573\pi\) |
0.998669 | − | 0.0515850i | \(-0.0164273\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 9.80898 | − | 4.20240i | 0.985839 | − | 0.422357i | ||||
\(100\) | −17.5666 | + | 9.04051i | −1.75666 | + | 0.904051i | ||||
\(101\) | −0.158115 | + | 0.0912877i | −0.0157330 | + | 0.00908347i | −0.507846 | − | 0.861448i | \(-0.669558\pi\) |
0.492113 | + | 0.870531i | \(0.336225\pi\) | |||||||
\(102\) | 0.767931 | − | 12.9094i | 0.0760365 | − | 1.27822i | ||||
\(103\) | −4.69347 | + | 1.25761i | −0.462461 | + | 0.123916i | −0.482524 | − | 0.875883i | \(-0.660280\pi\) |
0.0200632 | + | 0.999799i | \(0.493613\pi\) | |||||||
\(104\) | 8.64461 | 0.847674 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −7.68390 | −0.746327 | ||||||||
\(107\) | 10.4080 | − | 2.78881i | 1.00618 | − | 0.269605i | 0.282146 | − | 0.959371i | \(-0.408954\pi\) |
0.724032 | + | 0.689767i | \(0.242287\pi\) | |||||||
\(108\) | −19.3192 | + | 6.95044i | −1.85899 | + | 0.668807i | ||||
\(109\) | 8.84242 | − | 5.10517i | 0.846950 | − | 0.488987i | −0.0126703 | − | 0.999920i | \(-0.504033\pi\) |
0.859621 | + | 0.510933i | \(0.170700\pi\) | |||||||
\(110\) | −13.3852 | − | 14.0479i | −1.27622 | − | 1.33941i | ||||
\(111\) | 1.80386 | + | 8.79107i | 0.171215 | + | 0.834412i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.98156 | − | 7.98156i | 0.750842 | − | 0.750842i | −0.223794 | − | 0.974636i | \(-0.571844\pi\) |
0.974636 | + | 0.223794i | \(0.0718444\pi\) | |||||||
\(114\) | −1.53568 | − | 0.510981i | −0.143830 | − | 0.0478578i | ||||
\(115\) | −5.53053 | + | 1.33963i | −0.515725 | + | 0.124921i | ||||
\(116\) | −18.8801 | + | 10.9004i | −1.75297 | + | 1.01208i | ||||
\(117\) | −3.36849 | − | 4.28191i | −0.311417 | − | 0.395862i | ||||
\(118\) | −13.1651 | − | 13.1651i | −1.21194 | − | 1.21194i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 11.9027 | + | 14.0790i | 1.08656 | + | 1.28523i | ||||
\(121\) | 0.826456 | − | 1.43146i | 0.0751323 | − | 0.130133i | ||||
\(122\) | −6.89454 | + | 25.7308i | −0.624202 | + | 2.32955i | ||||
\(123\) | −1.03956 | + | 17.4757i | −0.0937341 | + | 1.57573i | ||||
\(124\) | −2.21726 | − | 1.28013i | −0.199116 | − | 0.114959i | ||||
\(125\) | 0.809394 | − | 11.1510i | 0.0723944 | − | 0.997376i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.79324 | − | 2.79324i | 0.247860 | − | 0.247860i | −0.572232 | − | 0.820092i | \(-0.693922\pi\) |
0.820092 | + | 0.572232i | \(0.193922\pi\) | |||||||
\(128\) | −5.16530 | − | 19.2771i | −0.456552 | − | 1.70387i | ||||
\(129\) | 0.545143 | + | 0.614101i | 0.0479971 | + | 0.0540686i | ||||
\(130\) | −5.15889 | + | 8.45698i | −0.452465 | + | 0.741726i | ||||
\(131\) | 7.64504 | + | 4.41386i | 0.667950 | + | 0.385641i | 0.795299 | − | 0.606217i | \(-0.207314\pi\) |
−0.127349 | + | 0.991858i | \(0.540647\pi\) | |||||||
\(132\) | −13.4025 | + | 20.3226i | −1.16654 | + | 1.76886i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −31.2917 | −2.70319 | ||||||||
\(135\) | 2.33566 | − | 11.3818i | 0.201021 | − | 0.979587i | ||||
\(136\) | 7.28455 | + | 12.6172i | 0.624645 | + | 1.08192i | ||||
\(137\) | −3.09498 | + | 11.5506i | −0.264422 | + | 0.986836i | 0.698181 | + | 0.715921i | \(0.253993\pi\) |
−0.962603 | + | 0.270915i | \(0.912674\pi\) | |||||||
\(138\) | 4.81402 | + | 9.61517i | 0.409797 | + | 0.818498i | ||||
\(139\) | 8.03342i | 0.681386i | 0.940175 | + | 0.340693i | \(0.110662\pi\) | ||||
−0.940175 | + | 0.340693i | \(0.889338\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −4.92772 | + | 1.01113i | −0.414989 | + | 0.0851526i | ||||
\(142\) | 1.93632 | + | 7.22644i | 0.162492 | + | 0.606430i | ||||
\(143\) | −6.23965 | − | 1.67191i | −0.521786 | − | 0.139812i | ||||
\(144\) | 6.66853 | − | 8.91123i | 0.555711 | − | 0.742603i | ||||
\(145\) | 0.297949 | − | 12.3337i | 0.0247433 | − | 1.02426i | ||||
\(146\) | 8.00895i | 0.662826i | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −14.4764 | − | 14.4764i | −1.18995 | − | 1.18995i | ||||
\(149\) | −8.89069 | + | 15.3991i | −0.728354 | + | 1.26155i | 0.229225 | + | 0.973374i | \(0.426381\pi\) |
−0.957579 | + | 0.288172i | \(0.906952\pi\) | |||||||
\(150\) | −20.8766 | + | 3.24233i | −1.70457 | + | 0.264735i | ||||
\(151\) | −9.95334 | − | 17.2397i | −0.809991 | − | 1.40295i | −0.912869 | − | 0.408252i | \(-0.866139\pi\) |
0.102878 | − | 0.994694i | \(-0.467195\pi\) | |||||||
\(152\) | 1.76118 | − | 0.471908i | 0.142851 | − | 0.0382768i | ||||
\(153\) | 3.41112 | − | 8.52470i | 0.275772 | − | 0.689181i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1.27190 | − | 0.693927i | 0.102161 | − | 0.0557375i | ||||
\(156\) | 11.7928 | + | 3.92393i | 0.944182 | + | 0.314166i | ||||
\(157\) | 9.98465 | + | 2.67538i | 0.796862 | + | 0.213519i | 0.634206 | − | 0.773164i | \(-0.281327\pi\) |
0.162656 | + | 0.986683i | \(0.447994\pi\) | |||||||
\(158\) | 8.74132 | + | 2.34223i | 0.695422 | + | 0.186338i | ||||
\(159\) | −5.17650 | − | 1.72242i | −0.410523 | − | 0.136597i | ||||
\(160\) | 1.00752 | + | 0.296222i | 0.0796518 | + | 0.0234184i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −21.9493 | + | 0.529858i | −1.72450 | + | 0.0416296i | ||||
\(163\) | −19.3203 | + | 5.17687i | −1.51329 | + | 0.405484i | −0.917525 | − | 0.397678i | \(-0.869816\pi\) |
−0.595761 | + | 0.803162i | \(0.703149\pi\) | |||||||
\(164\) | −19.9687 | − | 34.5868i | −1.55929 | − | 2.70077i | ||||
\(165\) | −5.86836 | − | 12.4642i | −0.456851 | − | 0.970336i | ||||
\(166\) | 1.68012 | − | 2.91005i | 0.130402 | − | 0.225863i | ||||
\(167\) | 6.08875 | + | 6.08875i | 0.471162 | + | 0.471162i | 0.902290 | − | 0.431129i | \(-0.141884\pi\) |
−0.431129 | + | 0.902290i | \(0.641884\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 9.70206i | − | 0.746312i | ||||||
\(170\) | −16.6906 | − | 0.403200i | −1.28011 | − | 0.0309240i | ||||
\(171\) | −0.920018 | − | 0.688476i | −0.0703556 | − | 0.0526491i | ||||
\(172\) | −1.80945 | − | 0.484842i | −0.137970 | − | 0.0369688i | ||||
\(173\) | 0.435117 | + | 1.62388i | 0.0330813 | + | 0.123461i | 0.980492 | − | 0.196559i | \(-0.0629768\pi\) |
−0.947411 | + | 0.320021i | \(0.896310\pi\) | |||||||
\(174\) | −22.8373 | + | 4.68605i | −1.73129 | + | 0.355249i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | − | 13.1969i | − | 0.994758i | ||||||
\(177\) | −5.91797 | − | 11.8201i | −0.444822 | − | 0.888455i | ||||
\(178\) | −1.91903 | + | 7.16190i | −0.143837 | + | 0.536807i | ||||
\(179\) | −10.5758 | − | 18.3178i | −0.790470 | − | 1.36913i | −0.925676 | − | 0.378317i | \(-0.876503\pi\) |
0.135206 | − | 0.990818i | \(-0.456830\pi\) | |||||||
\(180\) | 9.84672 | + | 24.6091i | 0.733932 | + | 1.83426i | ||||
\(181\) | −22.4232 | −1.66671 | −0.833353 | − | 0.552740i | \(-0.813582\pi\) | ||||
−0.833353 | + | 0.552740i | \(0.813582\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −10.4125 | + | 15.7889i | −0.769716 | + | 1.16715i | ||||
\(184\) | −10.4910 | − | 6.05699i | −0.773407 | − | 0.446527i | ||||
\(185\) | 11.2601 | − | 2.72746i | 0.827857 | − | 0.200527i | ||||
\(186\) | −1.81759 | − | 2.04751i | −0.133272 | − | 0.150131i | ||||
\(187\) | −2.81773 | − | 10.5159i | −0.206053 | − | 0.769001i | ||||
\(188\) | 8.11453 | − | 8.11453i | 0.591813 | − | 0.591813i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.589366 | + | 2.00458i | −0.0427571 | + | 0.145428i | ||||
\(191\) | 16.3692 | + | 9.45078i | 1.18444 | + | 0.683834i | 0.957037 | − | 0.289967i | \(-0.0936444\pi\) |
0.227399 | + | 0.973802i | \(0.426978\pi\) | |||||||
\(192\) | 0.881001 | − | 14.8102i | 0.0635807 | − | 1.06884i | ||||
\(193\) | 3.98500 | − | 14.8722i | 0.286847 | − | 1.07053i | −0.660633 | − | 0.750709i | \(-0.729712\pi\) |
0.947479 | − | 0.319817i | \(-0.103621\pi\) | |||||||
\(194\) | −17.8431 | + | 30.9051i | −1.28106 | + | 2.21886i | ||||
\(195\) | −5.37116 | + | 4.54089i | −0.384637 | + | 0.325180i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 0.582177 | + | 0.582177i | 0.0414784 | + | 0.0414784i | 0.727542 | − | 0.686063i | \(-0.240663\pi\) |
−0.686063 | + | 0.727542i | \(0.740663\pi\) | |||||||
\(198\) | −20.4605 | + | 16.0959i | −1.45406 | + | 1.14388i | ||||
\(199\) | 4.00381 | − | 2.31160i | 0.283823 | − | 0.163865i | −0.351330 | − | 0.936252i | \(-0.614270\pi\) |
0.635153 | + | 0.772387i | \(0.280937\pi\) | |||||||
\(200\) | 17.6228 | − | 15.9975i | 1.24612 | − | 1.13120i | ||||
\(201\) | −21.0806 | − | 7.01435i | −1.48691 | − | 0.494754i | ||||
\(202\) | 0.314943 | − | 0.314943i | 0.0221593 | − | 0.0221593i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 4.21030 | + | 20.5188i | 0.294780 | + | 1.43660i | ||||
\(205\) | 22.5944 | + | 0.545819i | 1.57806 | + | 0.0381216i | ||||
\(206\) | 10.2656 | − | 5.92686i | 0.715240 | − | 0.412944i | ||||
\(207\) | 1.08778 | + | 7.55667i | 0.0756058 | + | 0.525225i | ||||
\(208\) | −6.50794 | + | 1.74380i | −0.451244 | + | 0.120911i | ||||
\(209\) | −1.36249 | −0.0942452 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 22.8142 | 1.57060 | 0.785298 | − | 0.619118i | \(-0.212510\pi\) | ||||
0.785298 | + | 0.619118i | \(0.212510\pi\) | |||||||
\(212\) | 12.0215 | − | 3.22115i | 0.825639 | − | 0.221229i | ||||
\(213\) | −0.315416 | + | 5.30236i | −0.0216120 | + | 0.363312i | ||||
\(214\) | −22.7645 | + | 13.1431i | −1.55615 | + | 0.898444i | ||||
\(215\) | 0.767496 | − | 0.731290i | 0.0523428 | − | 0.0498735i | ||||
\(216\) | 20.3140 | − | 14.1118i | 1.38219 | − | 0.960190i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −17.6129 | + | 17.6129i | −1.19290 | + | 1.19290i | ||||
\(219\) | −1.79528 | + | 5.39548i | −0.121314 | + | 0.364593i | ||||
\(220\) | 26.8301 | + | 16.3668i | 1.80888 | + | 1.10345i | ||||
\(221\) | −4.81349 | + | 2.77907i | −0.323791 | + | 0.186941i | ||||
\(222\) | −9.80126 | − | 19.5763i | −0.657818 | − | 1.31388i | ||||
\(223\) | 9.51124 | + | 9.51124i | 0.636920 | + | 0.636920i | 0.949794 | − | 0.312875i | \(-0.101292\pi\) |
−0.312875 | + | 0.949794i | \(0.601292\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −14.7910 | − | 2.49540i | −0.986065 | − | 0.166360i | ||||
\(226\) | −13.7682 | + | 23.8473i | −0.915849 | + | 1.58630i | ||||
\(227\) | −0.571878 | + | 2.13428i | −0.0379569 | + | 0.141657i | −0.982304 | − | 0.187294i | \(-0.940028\pi\) |
0.944347 | + | 0.328951i | \(0.106695\pi\) | |||||||
\(228\) | 2.61679 | + | 0.155662i | 0.173301 | + | 0.0103090i | ||||
\(229\) | 22.0869 | + | 12.7519i | 1.45954 | + | 0.842668i | 0.998989 | − | 0.0449629i | \(-0.0143170\pi\) |
0.460555 | + | 0.887631i | \(0.347650\pi\) | |||||||
\(230\) | 12.1863 | − | 6.64865i | 0.803541 | − | 0.438399i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 18.5714 | − | 18.5714i | 1.21927 | − | 1.21927i | ||||
\(233\) | −6.67968 | − | 24.9289i | −0.437601 | − | 1.63315i | −0.734765 | − | 0.678322i | \(-0.762708\pi\) |
0.297164 | − | 0.954826i | \(-0.403959\pi\) | |||||||
\(234\) | 10.6411 | + | 7.96303i | 0.695629 | + | 0.520560i | ||||
\(235\) | 1.52884 | + | 6.31168i | 0.0997305 | + | 0.411728i | ||||
\(236\) | 26.1157 | + | 15.0779i | 1.69998 | + | 0.981487i | ||||
\(237\) | 5.36383 | + | 3.53737i | 0.348418 | + | 0.229777i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 5.35194 | 0.346188 | 0.173094 | − | 0.984905i | \(-0.444624\pi\) | ||||
0.173094 | + | 0.984905i | \(0.444624\pi\) | |||||||
\(240\) | −11.8007 | − | 8.19809i | −0.761733 | − | 0.529184i | ||||
\(241\) | 4.02361 | + | 6.96910i | 0.259184 | + | 0.448919i | 0.966023 | − | 0.258454i | \(-0.0832132\pi\) |
−0.706840 | + | 0.707374i | \(0.749880\pi\) | |||||||
\(242\) | −1.04364 | + | 3.89492i | −0.0670877 | + | 0.250375i | ||||
\(243\) | −14.9056 | − | 4.56320i | −0.956195 | − | 0.292729i | ||||
\(244\) | − | 43.1461i | − | 2.76215i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −8.58447 | − | 41.8362i | −0.547326 | − | 2.66738i | ||||
\(247\) | 0.180034 | + | 0.671896i | 0.0114553 | + | 0.0427517i | ||||
\(248\) | 2.97931 | + | 0.798304i | 0.189186 | + | 0.0506923i | ||||
\(249\) | 1.78418 | − | 1.58383i | 0.113068 | − | 0.100371i | ||||
\(250\) | 5.13344 | + | 26.7873i | 0.324667 | + | 1.69418i | ||||
\(251\) | 4.25486i | 0.268565i | 0.990943 | + | 0.134282i | \(0.0428729\pi\) | ||||
−0.990943 | + | 0.134282i | \(0.957127\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.40093 | + | 6.40093i | 0.402423 | + | 0.402423i | ||||
\(254\) | −4.81835 | + | 8.34562i | −0.302330 | + | 0.523651i | ||||
\(255\) | −11.1538 | − | 4.01299i | −0.698475 | − | 0.251303i | ||||
\(256\) | 15.7772 | + | 27.3269i | 0.986075 | + | 1.70793i | ||||
\(257\) | 3.49869 | − | 0.937470i | 0.218242 | − | 0.0584778i | −0.148041 | − | 0.988981i | \(-0.547297\pi\) |
0.366283 | + | 0.930503i | \(0.380630\pi\) | |||||||
\(258\) | −1.67231 | − | 1.10287i | −0.104114 | − | 0.0686615i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 4.52587 | − | 15.3936i | 0.280683 | − | 0.954671i | ||||
\(261\) | −16.4355 | − | 1.96231i | −1.01733 | − | 0.121464i | ||||
\(262\) | −20.8017 | − | 5.57379i | −1.28513 | − | 0.344350i | ||||
\(263\) | −7.44545 | − | 1.99500i | −0.459106 | − | 0.123017i | 0.0218510 | − | 0.999761i | \(-0.493044\pi\) |
−0.480957 | + | 0.876744i | \(0.659711\pi\) | |||||||
\(264\) | 9.25938 | − | 27.8278i | 0.569876 | − | 1.71268i | ||||
\(265\) | −1.98664 | + | 6.75707i | −0.122039 | + | 0.415084i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2.89822 | + | 4.39467i | −0.177368 | + | 0.268949i | ||||
\(268\) | 48.9560 | − | 13.1177i | 2.99046 | − | 0.801292i | ||||
\(269\) | −9.75238 | − | 16.8916i | −0.594613 | − | 1.02990i | −0.993601 | − | 0.112944i | \(-0.963972\pi\) |
0.398988 | − | 0.916956i | \(-0.369362\pi\) | |||||||
\(270\) | 1.68265 | + | 28.2947i | 0.102403 | + | 1.72196i | ||||
\(271\) | −10.1887 | + | 17.6473i | −0.618919 | + | 1.07200i | 0.370764 | + | 0.928727i | \(0.379096\pi\) |
−0.989683 | + | 0.143273i | \(0.954237\pi\) | |||||||
\(272\) | −8.02919 | − | 8.02919i | −0.486841 | − | 0.486841i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 29.1720i | − | 1.76235i | ||||||
\(275\) | −15.8141 | + | 8.13862i | −0.953626 | + | 0.490777i | ||||
\(276\) | −11.5623 | − | 13.0249i | −0.695968 | − | 0.784006i | ||||
\(277\) | 11.0945 | + | 2.97277i | 0.666605 | + | 0.178616i | 0.576225 | − | 0.817291i | \(-0.304525\pi\) |
0.0903802 | + | 0.995907i | \(0.471192\pi\) | |||||||
\(278\) | −5.07226 | − | 18.9299i | −0.304214 | − | 1.13534i | ||||
\(279\) | −0.765508 | − | 1.78680i | −0.0458298 | − | 0.106973i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 1.16755i | − | 0.0696500i | −0.999393 | − | 0.0348250i | \(-0.988913\pi\) | ||
0.999393 | − | 0.0348250i | \(-0.0110874\pi\) | |||||||
\(282\) | 10.9732 | − | 5.49397i | 0.653447 | − | 0.327161i | ||||
\(283\) | 6.31899 | − | 23.5828i | 0.375625 | − | 1.40185i | −0.476805 | − | 0.879009i | \(-0.658205\pi\) |
0.852430 | − | 0.522841i | \(-0.175128\pi\) | |||||||
\(284\) | −6.05875 | − | 10.4941i | −0.359521 | − | 0.622708i | ||||
\(285\) | −0.846391 | + | 1.21834i | −0.0501359 | + | 0.0721680i | ||||
\(286\) | 15.7587 | 0.931834 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0.523434 | − | 1.30811i | 0.0308436 | − | 0.0770811i | ||||
\(289\) | 6.61006 | + | 3.81632i | 0.388827 | + | 0.224489i | ||||
\(290\) | 7.08536 | + | 29.2513i | 0.416067 | + | 1.71769i | ||||
\(291\) | −18.9482 | + | 16.8205i | −1.11077 | + | 0.986035i | ||||
\(292\) | −3.35741 | − | 12.5300i | −0.196478 | − | 0.733264i | ||||
\(293\) | −17.1201 | + | 17.1201i | −1.00016 | + | 1.00016i | −0.000164506 | 1.00000i | \(0.500052\pi\) | |
−1.00000 | 0.000164506i | \(0.999948\pi\) | ||||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −14.9809 | + | 8.17332i | −0.872220 | + | 0.475869i | ||||
\(296\) | 21.3595 | + | 12.3319i | 1.24150 | + | 0.716779i | ||||
\(297\) | −17.3919 | + | 6.25706i | −1.00918 | + | 0.363071i | ||||
\(298\) | 11.2271 | − | 41.9000i | 0.650367 | − | 2.42720i | ||||
\(299\) | 2.31075 | − | 4.00234i | 0.133634 | − | 0.231462i | ||||
\(300\) | 31.3023 | − | 13.8243i | 1.80724 | − | 0.798144i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 34.3391 | + | 34.3391i | 1.97599 | + | 1.97599i | ||||
\(303\) | 0.282769 | − | 0.141574i | 0.0162447 | − | 0.00813320i | ||||
\(304\) | −1.23068 | + | 0.710535i | −0.0705845 | + | 0.0407520i | ||||
\(305\) | 20.8446 | + | 12.7155i | 1.19356 | + | 0.728088i | ||||
\(306\) | −2.65550 | + | 22.2414i | −0.151805 | + | 1.27145i | ||||
\(307\) | 9.35548 | − | 9.35548i | 0.533946 | − | 0.533946i | −0.387799 | − | 0.921744i | \(-0.626764\pi\) |
0.921744 | + | 0.387799i | \(0.126764\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 8.24432 | − | 1.69167i | 0.469003 | − | 0.0962359i | ||||
\(310\) | −2.55896 | + | 2.43824i | −0.145339 | + | 0.138483i | ||||
\(311\) | 2.36072 | − | 1.36296i | 0.133864 | − | 0.0772864i | −0.431572 | − | 0.902078i | \(-0.642041\pi\) |
0.565436 | + | 0.824792i | \(0.308708\pi\) | |||||||
\(312\) | −14.9465 | − | 0.889107i | −0.846178 | − | 0.0503357i | ||||
\(313\) | 25.0318 | − | 6.70726i | 1.41488 | − | 0.379117i | 0.531218 | − | 0.847235i | \(-0.321735\pi\) |
0.883666 | + | 0.468118i | \(0.155068\pi\) | |||||||
\(314\) | −25.2171 | −1.42308 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −14.6577 | −0.824560 | ||||||||
\(317\) | −4.55428 | + | 1.22032i | −0.255794 | + | 0.0685398i | −0.384437 | − | 0.923151i | \(-0.625604\pi\) |
0.128643 | + | 0.991691i | \(0.458938\pi\) | |||||||
\(318\) | 13.2854 | + | 0.790297i | 0.745010 | + | 0.0443177i | ||||
\(319\) | −16.9966 | + | 9.81297i | −0.951625 | + | 0.549421i | ||||
\(320\) | −19.1481 | − | 0.462567i | −1.07041 | − | 0.0258583i | ||||
\(321\) | −18.2822 | + | 3.75137i | −1.02041 | + | 0.209381i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.828954 | + | 0.828954i | −0.0461243 | + | 0.0461243i | ||||
\(324\) | 34.1176 | − | 10.0303i | 1.89542 | − | 0.557238i | ||||
\(325\) | 6.10309 | + | 6.72315i | 0.338539 | + | 0.372933i | ||||
\(326\) | 42.2578 | − | 24.3975i | 2.34044 | − | 1.35125i | ||||
\(327\) | −15.8136 | + | 7.91737i | −0.874492 | + | 0.437831i | ||||
\(328\) | 34.0213 | + | 34.0213i | 1.87851 | + | 1.87851i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 21.6980 | + | 25.6654i | 1.19444 | + | 1.41283i | ||||
\(331\) | −5.05610 | + | 8.75743i | −0.277909 | + | 0.481352i | −0.970865 | − | 0.239628i | \(-0.922975\pi\) |
0.692956 | + | 0.720980i | \(0.256308\pi\) | |||||||
\(332\) | −1.40863 | + | 5.25709i | −0.0773088 | + | 0.288520i | ||||
\(333\) | −2.21470 | − | 15.3852i | −0.121365 | − | 0.843106i | ||||
\(334\) | −18.1919 | − | 10.5031i | −0.995419 | − | 0.574705i | ||||
\(335\) | −8.09036 | + | 27.5173i | −0.442023 | + | 1.50343i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 8.78763 | − | 8.78763i | 0.478692 | − | 0.478692i | −0.426021 | − | 0.904713i | \(-0.640085\pi\) |
0.904713 | + | 0.426021i | \(0.140085\pi\) | |||||||
\(338\) | 6.12584 | + | 22.8619i | 0.333202 | + | 1.24353i | ||||
\(339\) | −14.6210 | + | 12.9792i | −0.794103 | + | 0.704931i | ||||
\(340\) | 26.2815 | − | 6.36601i | 1.42532 | − | 0.345246i | ||||
\(341\) | −1.99606 | − | 1.15243i | −0.108093 | − | 0.0624074i | ||||
\(342\) | 2.60263 | + | 1.04143i | 0.140734 | + | 0.0563141i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 2.25679 | 0.121678 | ||||||||
\(345\) | 9.70004 | − | 1.74739i | 0.522232 | − | 0.0940762i | ||||
\(346\) | −2.05062 | − | 3.55177i | −0.110242 | − | 0.190945i | ||||
\(347\) | −2.85959 | + | 10.6721i | −0.153511 | + | 0.572911i | 0.845717 | + | 0.533631i | \(0.179173\pi\) |
−0.999228 | + | 0.0392795i | \(0.987494\pi\) | |||||||
\(348\) | 33.7647 | − | 16.9049i | 1.80998 | − | 0.906199i | ||||
\(349\) | 6.84738i | 0.366532i | 0.983063 | + | 0.183266i | \(0.0586670\pi\) | ||||
−0.983063 | + | 0.183266i | \(0.941333\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.38370 | + | 7.74984i | 0.287361 | + | 0.413656i | ||||
\(352\) | −0.432380 | − | 1.61366i | −0.0230459 | − | 0.0860085i | ||||
\(353\) | 21.5279 | + | 5.76838i | 1.14581 | + | 0.307020i | 0.781287 | − | 0.624172i | \(-0.214564\pi\) |
0.364528 | + | 0.931192i | \(0.381230\pi\) | |||||||
\(354\) | 21.4083 | + | 24.1164i | 1.13784 | + | 1.28177i | ||||
\(355\) | 6.85542 | + | 0.165608i | 0.363848 | + | 0.00878958i | ||||
\(356\) | − | 12.0093i | − | 0.636491i | ||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 36.4865 | + | 36.4865i | 1.92837 | + | 1.92837i | ||||
\(359\) | 13.3858 | − | 23.1849i | 0.706476 | − | 1.22365i | −0.259680 | − | 0.965695i | \(-0.583617\pi\) |
0.966156 | − | 0.257958i | \(-0.0830495\pi\) | |||||||
\(360\) | −19.1316 | − | 25.5667i | −1.00832 | − | 1.34748i | ||||
\(361\) | −9.42664 | − | 16.3274i | −0.496139 | − | 0.859338i | ||||
\(362\) | 52.8381 | − | 14.1579i | 2.77711 | − | 0.744124i | ||||
\(363\) | −1.57616 | + | 2.38999i | −0.0827272 | + | 0.125442i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 7.04291 | + | 2.07068i | 0.368643 | + | 0.108385i | ||||
\(366\) | 14.5671 | − | 43.7793i | 0.761432 | − | 2.28838i | ||||
\(367\) | 16.2394 | + | 4.35135i | 0.847692 | + | 0.227138i | 0.656417 | − | 0.754398i | \(-0.272071\pi\) |
0.191275 | + | 0.981536i | \(0.438738\pi\) | |||||||
\(368\) | 9.11979 | + | 2.44364i | 0.475402 | + | 0.127384i | ||||
\(369\) | 3.59479 | − | 30.1085i | 0.187137 | − | 1.56739i | ||||
\(370\) | −24.8111 | + | 13.5365i | −1.28987 | + | 0.703731i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 3.70196 | + | 2.44139i | 0.191938 | + | 0.126580i | ||||
\(373\) | −10.1335 | + | 2.71527i | −0.524694 | + | 0.140591i | −0.511437 | − | 0.859321i | \(-0.670887\pi\) |
−0.0132570 | + | 0.999912i | \(0.504220\pi\) | |||||||
\(374\) | 13.2794 | + | 23.0006i | 0.686662 | + | 1.18933i | ||||
\(375\) | −2.54633 | + | 19.1968i | −0.131492 | + | 0.991317i | ||||
\(376\) | −6.91249 | + | 11.9728i | −0.356485 | + | 0.617450i | ||||
\(377\) | 7.08503 | + | 7.08503i | 0.364898 | + | 0.364898i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 22.0750i | 1.13391i | 0.823747 | + | 0.566957i | \(0.191880\pi\) | ||||
−0.823747 | + | 0.566957i | \(0.808120\pi\) | |||||||
\(380\) | 0.0817299 | − | 3.38324i | 0.00419266 | − | 0.173557i | ||||
\(381\) | −5.11678 | + | 4.54221i | −0.262141 | + | 0.232704i | ||||
\(382\) | −44.5396 | − | 11.9344i | −2.27885 | − | 0.610615i | ||||
\(383\) | −5.20486 | − | 19.4248i | −0.265956 | − | 0.992561i | −0.961663 | − | 0.274235i | \(-0.911575\pi\) |
0.695707 | − | 0.718326i | \(-0.255091\pi\) | |||||||
\(384\) | 6.94809 | + | 33.8613i | 0.354568 | + | 1.72798i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 37.5610i | 1.91181i | ||||||||
\(387\) | −0.879387 | − | 1.11785i | −0.0447018 | − | 0.0568233i | ||||
\(388\) | 14.9599 | − | 55.8311i | 0.759474 | − | 2.83440i | ||||
\(389\) | −0.689060 | − | 1.19349i | −0.0349368 | − | 0.0605122i | 0.848028 | − | 0.529951i | \(-0.177790\pi\) |
−0.882965 | + | 0.469439i | \(0.844456\pi\) | |||||||
\(390\) | 9.78950 | − | 14.0915i | 0.495711 | − | 0.713550i | ||||
\(391\) | 7.78881 | 0.393897 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −12.7643 | − | 8.41785i | −0.643872 | − | 0.424624i | ||||
\(394\) | −1.73943 | − | 1.00426i | −0.0876310 | − | 0.0505938i | ||||
\(395\) | 4.31975 | − | 7.08137i | 0.217350 | − | 0.356302i | ||||
\(396\) | 25.2630 | − | 33.7592i | 1.26951 | − | 1.69646i | ||||
\(397\) | −5.76560 | − | 21.5175i | −0.289367 | − | 1.07993i | −0.945589 | − | 0.325365i | \(-0.894513\pi\) |
0.656222 | − | 0.754568i | \(-0.272154\pi\) | |||||||
\(398\) | −7.97504 | + | 7.97504i | −0.399753 | + | 0.399753i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −10.0400 | + | 15.5983i | −0.502000 | + | 0.779917i | ||||
\(401\) | −7.51392 | − | 4.33816i | −0.375227 | − | 0.216638i | 0.300512 | − | 0.953778i | \(-0.402842\pi\) |
−0.675740 | + | 0.737140i | \(0.736176\pi\) | |||||||
\(402\) | 54.1032 | + | 3.21838i | 2.69842 | + | 0.160518i | ||||
\(403\) | −0.304555 | + | 1.13661i | −0.0151710 | + | 0.0566188i | ||||
\(404\) | −0.360703 | + | 0.624756i | −0.0179457 | + | 0.0310828i | ||||
\(405\) | −5.20897 | + | 19.4388i | −0.258836 | + | 0.965921i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −13.0322 | − | 13.0322i | −0.645981 | − | 0.645981i | ||||
\(408\) | −11.2973 | − | 22.5643i | −0.559297 | − | 1.11710i | ||||
\(409\) | −6.78090 | + | 3.91495i | −0.335294 | + | 0.193582i | −0.658189 | − | 0.752853i | \(-0.728677\pi\) |
0.322895 | + | 0.946435i | \(0.395344\pi\) | |||||||
\(410\) | −53.5860 | + | 12.9798i | −2.64642 | + | 0.641027i | ||||
\(411\) | 6.53920 | − | 19.6526i | 0.322555 | − | 0.969393i | ||||
\(412\) | −13.5760 | + | 13.5760i | −0.668842 | + | 0.668842i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −7.33448 | − | 17.1197i | −0.360470 | − | 0.841387i | ||||
\(415\) | −2.12465 | − | 2.22984i | −0.104295 | − | 0.109459i | ||||
\(416\) | −0.738628 | + | 0.426447i | −0.0362142 | + | 0.0209083i | ||||
\(417\) | 0.826245 | − | 13.8897i | 0.0404614 | − | 0.680184i | ||||
\(418\) | 3.21056 | − | 0.860268i | 0.157034 | − | 0.0420771i | ||||
\(419\) | 17.2587 | 0.843141 | 0.421571 | − | 0.906796i | \(-0.361479\pi\) | ||||
0.421571 | + | 0.906796i | \(0.361479\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −30.2371 | −1.47366 | −0.736832 | − | 0.676076i | \(-0.763679\pi\) | ||||
−0.736832 | + | 0.676076i | \(0.763679\pi\) | |||||||
\(422\) | −53.7594 | + | 14.4048i | −2.61697 | + | 0.701214i | ||||
\(423\) | 8.62399 | − | 1.24142i | 0.419313 | − | 0.0603599i | ||||
\(424\) | −12.9847 | + | 7.49671i | −0.630592 | + | 0.364073i | ||||
\(425\) | −4.66986 | + | 14.5731i | −0.226521 | + | 0.706901i | ||||
\(426\) | −2.60464 | − | 12.6936i | −0.126195 | − | 0.615009i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 30.1055 | − | 30.1055i | 1.45520 | − | 1.45520i | ||||
\(429\) | 10.6164 | + | 3.53248i | 0.512563 | + | 0.170550i | ||||
\(430\) | −1.34679 | + | 2.20780i | −0.0649482 | + | 0.106470i | ||||
\(431\) | −17.6840 | + | 10.2099i | −0.851811 | + | 0.491793i | −0.861261 | − | 0.508162i | \(-0.830325\pi\) |
0.00945079 | + | 0.999955i | \(0.496992\pi\) | |||||||
\(432\) | −12.4464 | + | 14.7216i | −0.598827 | + | 0.708294i | ||||
\(433\) | −14.4338 | − | 14.4338i | −0.693646 | − | 0.693646i | 0.269386 | − | 0.963032i | \(-0.413179\pi\) |
−0.963032 | + | 0.269386i | \(0.913179\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.78369 | + | 21.2943i | −0.0855212 | + | 1.02098i | ||||
\(436\) | 20.1720 | − | 34.9389i | 0.966062 | − | 1.67327i | ||||
\(437\) | 0.252288 | − | 0.941550i | 0.0120685 | − | 0.0450404i | ||||
\(438\) | 0.823729 | − | 13.8474i | 0.0393593 | − | 0.661656i | ||||
\(439\) | −12.5945 | − | 7.27146i | −0.601105 | − | 0.347048i | 0.168371 | − | 0.985724i | \(-0.446149\pi\) |
−0.769476 | + | 0.638676i | \(0.779483\pi\) | |||||||
\(440\) | −36.3246 | − | 10.6798i | −1.73171 | − | 0.509139i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 9.58782 | − | 9.58782i | 0.456046 | − | 0.456046i | ||||
\(443\) | 2.65557 | + | 9.91074i | 0.126170 | + | 0.470873i | 0.999879 | − | 0.0155764i | \(-0.00495834\pi\) |
−0.873709 | + | 0.486450i | \(0.838292\pi\) | |||||||
\(444\) | 23.5406 | + | 26.5185i | 1.11719 | + | 1.25851i | ||||
\(445\) | 5.80188 | + | 3.53924i | 0.275035 | + | 0.167776i | ||||
\(446\) | −28.4176 | − | 16.4069i | −1.34561 | − | 0.776890i | ||||
\(447\) | 16.9558 | − | 25.7106i | 0.801981 | − | 1.21607i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −6.70137 | −0.316257 | −0.158129 | − | 0.987419i | \(-0.550546\pi\) | ||||
−0.158129 | + | 0.987419i | \(0.550546\pi\) | |||||||
\(450\) | 36.4290 | − | 3.45879i | 1.71728 | − | 0.163049i | ||||
\(451\) | −17.9766 | − | 31.1363i | −0.846484 | − | 1.46615i | ||||
\(452\) | 11.5435 | − | 43.0808i | 0.542959 | − | 2.02635i | ||||
\(453\) | 15.4361 | + | 30.8310i | 0.725253 | + | 1.44857i | ||||
\(454\) | − | 5.39029i | − | 0.252979i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −3.09361 | + | 0.634787i | −0.144872 | + | 0.0297266i | ||||
\(457\) | −8.00943 | − | 29.8916i | −0.374665 | − | 1.39827i | −0.853833 | − | 0.520547i | \(-0.825728\pi\) |
0.479168 | − | 0.877723i | \(-0.340939\pi\) | |||||||
\(458\) | −60.0971 | − | 16.1030i | −2.80815 | − | 0.752442i | ||||
\(459\) | −6.77458 | + | 14.3883i | −0.316210 | + | 0.671589i | ||||
\(460\) | −16.2783 | + | 15.5104i | −0.758981 | + | 0.723176i | ||||
\(461\) | − | 35.1427i | − | 1.63676i | −0.574680 | − | 0.818378i | \(-0.694873\pi\) | ||
0.574680 | − | 0.818378i | \(-0.305127\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.51567 | − | 3.51567i | −0.163387 | − | 0.163387i | 0.620678 | − | 0.784065i | \(-0.286857\pi\) |
−0.784065 | + | 0.620678i | \(0.786857\pi\) | |||||||
\(464\) | −10.2349 | + | 17.7274i | −0.475143 | + | 0.822973i | ||||
\(465\) | −2.27048 | + | 1.06898i | −0.105291 | + | 0.0495727i | ||||
\(466\) | 31.4800 | + | 54.5250i | 1.45828 | + | 2.52582i | ||||
\(467\) | −29.9748 | + | 8.03172i | −1.38707 | + | 0.371664i | −0.873683 | − | 0.486495i | \(-0.838275\pi\) |
−0.513385 | + | 0.858159i | \(0.671609\pi\) | |||||||
\(468\) | −19.9862 | − | 7.99736i | −0.923860 | − | 0.369678i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −7.58772 | − | 13.9075i | −0.349995 | − | 0.641507i | ||||
\(471\) | −16.9882 | − | 5.65265i | −0.782777 | − | 0.260460i | ||||
\(472\) | −35.0914 | − | 9.40271i | −1.61521 | − | 0.432795i | ||||
\(473\) | −1.62894 | − | 0.436473i | −0.0748988 | − | 0.0200691i | ||||
\(474\) | −14.8728 | − | 4.94876i | −0.683130 | − | 0.227304i | ||||
\(475\) | 1.61041 | + | 1.03655i | 0.0738907 | + | 0.0475604i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 8.77299 | + | 3.51047i | 0.401687 | + | 0.160733i | ||||
\(478\) | −12.6113 | + | 3.37919i | −0.576827 | + | 0.154560i | ||||
\(479\) | −7.30399 | − | 12.6509i | −0.333728 | − | 0.578034i | 0.649512 | − | 0.760352i | \(-0.274973\pi\) |
−0.983240 | + | 0.182318i | \(0.941640\pi\) | |||||||
\(480\) | −1.71154 | − | 0.615791i | −0.0781206 | − | 0.0281069i | ||||
\(481\) | −4.70466 | + | 8.14871i | −0.214514 | + | 0.371549i | ||||
\(482\) | −13.8815 | − | 13.8815i | −0.632285 | − | 0.632285i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | − | 6.53111i | − | 0.296869i | ||||||
\(485\) | 22.5641 | + | 23.6813i | 1.02458 | + | 1.07531i | ||||
\(486\) | 38.0048 | + | 1.34139i | 1.72393 | + | 0.0608466i | ||||
\(487\) | −1.59898 | − | 0.428446i | −0.0724568 | − | 0.0194148i | 0.222409 | − | 0.974954i | \(-0.428608\pi\) |
−0.294865 | + | 0.955539i | \(0.595275\pi\) | |||||||
\(488\) | 13.4532 | + | 50.2079i | 0.608996 | + | 2.27280i | ||||
\(489\) | 33.9372 | − | 6.96366i | 1.53469 | − | 0.314908i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 32.6849i | − | 1.47505i | −0.675321 | − | 0.737524i | \(-0.735995\pi\) | ||
0.675321 | − | 0.737524i | \(-0.264005\pi\) | |||||||
\(492\) | 30.9684 | + | 61.8541i | 1.39617 | + | 2.78860i | ||||
\(493\) | −4.37059 | + | 16.3113i | −0.196842 | + | 0.734623i | ||||
\(494\) | −0.848464 | − | 1.46958i | −0.0381742 | − | 0.0661196i | ||||
\(495\) | 8.86440 | + | 22.1541i | 0.398425 | + | 0.995752i | ||||
\(496\) | −2.40395 | −0.107941 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −3.20421 | + | 4.85865i | −0.143584 | + | 0.217721i | ||||
\(499\) | 17.4676 | + | 10.0849i | 0.781956 | + | 0.451463i | 0.837123 | − | 0.547014i | \(-0.184236\pi\) |
−0.0551669 | + | 0.998477i | \(0.517569\pi\) | |||||||
\(500\) | −19.2607 | − | 39.7568i | −0.861364 | − | 1.77798i | ||||
\(501\) | −9.90118 | − | 11.1537i | −0.442352 | − | 0.498308i | ||||
\(502\) | −2.68650 | − | 10.0262i | −0.119904 | − | 0.447489i | ||||
\(503\) | 9.55454 | − | 9.55454i | 0.426016 | − | 0.426016i | −0.461253 | − | 0.887269i | \(-0.652600\pi\) |
0.887269 | + | 0.461253i | \(0.152600\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.195528 | − | 0.358382i | −0.00870086 | − | 0.0159478i | ||||
\(506\) | −19.1247 | − | 11.0416i | −0.850194 | − | 0.490860i | ||||
\(507\) | −0.997867 | + | 16.7748i | −0.0443168 | + | 0.744996i | ||||
\(508\) | 4.03977 | − | 15.0766i | 0.179236 | − | 0.668917i | ||||
\(509\) | −2.00475 | + | 3.47233i | −0.0888591 | + | 0.153908i | −0.907029 | − | 0.421068i | \(-0.861655\pi\) |
0.818170 | + | 0.574976i | \(0.194989\pi\) | |||||||
\(510\) | 28.8165 | + | 2.41378i | 1.27602 | + | 0.106884i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −26.2078 | − | 26.2078i | −1.15823 | − | 1.15823i | ||||
\(513\) | 1.51990 | + | 1.28500i | 0.0671050 | + | 0.0567340i | ||||
\(514\) | −7.65238 | + | 4.41811i | −0.337532 | + | 0.194874i | ||||
\(515\) | −2.55783 | − | 10.5598i | −0.112711 | − | 0.465319i | ||||
\(516\) | 3.07867 | + | 1.02439i | 0.135531 | + | 0.0450964i | ||||
\(517\) | 7.30501 | − | 7.30501i | 0.321274 | − | 0.321274i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −0.585297 | − | 2.85243i | −0.0256917 | − | 0.125208i | ||||
\(520\) | −0.466823 | + | 19.3243i | −0.0204715 | + | 0.847426i | ||||
\(521\) | −0.115369 | + | 0.0666082i | −0.00505440 | + | 0.00291816i | −0.502525 | − | 0.864563i | \(-0.667596\pi\) |
0.497471 | + | 0.867481i | \(0.334262\pi\) | |||||||
\(522\) | 39.9676 | − | 5.75332i | 1.74933 | − | 0.251816i | ||||
\(523\) | −27.3590 | + | 7.33082i | −1.19633 | + | 0.320554i | −0.801383 | − | 0.598151i | \(-0.795902\pi\) |
−0.394942 | + | 0.918706i | \(0.629235\pi\) | |||||||
\(524\) | 34.8808 | 1.52377 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 18.8041 | 0.819897 | ||||||||
\(527\) | −1.91558 | + | 0.513278i | −0.0834440 | + | 0.0223587i | ||||
\(528\) | −1.35732 | + | 22.8175i | −0.0590697 | + | 0.993002i | ||||
\(529\) | 14.3100 | − | 8.26186i | 0.622173 | − | 0.359211i | ||||
\(530\) | 0.414943 | − | 17.1767i | 0.0180240 | − | 0.746109i | ||||
\(531\) | 9.01643 | + | 21.0456i | 0.391280 | + | 0.913302i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −12.9792 | + | 12.9792i | −0.562192 | + | 0.562192i | ||||
\(534\) | 4.05459 | − | 12.1855i | 0.175459 | − | 0.527319i | ||||
\(535\) | 5.67211 | + | 23.4168i | 0.245226 | + | 1.01240i | ||||
\(536\) | −52.8785 | + | 30.5294i | −2.28400 | + | 1.31867i | ||||
\(537\) | 16.4014 | + | 32.7591i | 0.707775 | + | 1.41366i | ||||
\(538\) | 33.6458 | + | 33.6458i | 1.45057 | + | 1.45057i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −14.4939 | − | 43.5618i | −0.623716 | − | 1.87460i | ||||
\(541\) | −7.52532 | + | 13.0342i | −0.323539 | + | 0.560386i | −0.981216 | − | 0.192915i | \(-0.938206\pi\) |
0.657677 | + | 0.753300i | \(0.271539\pi\) | |||||||
\(542\) | 12.8662 | − | 48.0173i | 0.552650 | − | 2.06252i | ||||
\(543\) | 38.7697 | + | 2.30625i | 1.66377 | + | 0.0989708i | ||||
\(544\) | −1.24484 | − | 0.718708i | −0.0533720 | − | 0.0308143i | ||||
\(545\) | 10.9347 | + | 20.0422i | 0.468390 | + | 0.858513i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −12.4068 | + | 12.4068i | −0.530476 | + | 0.530476i | −0.920714 | − | 0.390238i | \(-0.872393\pi\) |
0.390238 | + | 0.920714i | \(0.372393\pi\) | |||||||
\(548\) | 12.2291 | + | 45.6397i | 0.522402 | + | 1.94963i | ||||
\(549\) | 19.6271 | − | 26.2279i | 0.837664 | − | 1.11938i | ||||
\(550\) | 32.1256 | − | 29.1628i | 1.36984 | − | 1.24351i | ||||
\(551\) | 1.83022 | + | 1.05668i | 0.0779699 | + | 0.0450160i | ||||
\(552\) | 17.5159 | + | 11.5515i | 0.745527 | + | 0.491665i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −28.0201 | −1.19046 | ||||||||
\(555\) | −19.7491 | + | 3.55765i | −0.838303 | + | 0.151014i | ||||
\(556\) | 15.8711 | + | 27.4896i | 0.673086 | + | 1.16582i | ||||
\(557\) | −5.06579 | + | 18.9058i | −0.214645 | + | 0.801065i | 0.771647 | + | 0.636051i | \(0.219433\pi\) |
−0.986291 | + | 0.165013i | \(0.947233\pi\) | |||||||
\(558\) | 2.93202 | + | 3.72708i | 0.124122 | + | 0.157780i | ||||
\(559\) | 0.860969i | 0.0364151i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.79027 | + | 18.4718i | 0.160025 | + | 0.779880i | ||||
\(562\) | 0.737184 | + | 2.75121i | 0.0310962 | + | 0.116053i | ||||
\(563\) | 27.3385 | + | 7.32534i | 1.15218 | + | 0.308726i | 0.783839 | − | 0.620964i | \(-0.213259\pi\) |
0.368343 | + | 0.929690i | \(0.379925\pi\) | |||||||
\(564\) | −14.8646 | + | 13.1954i | −0.625911 | + | 0.555626i | ||||
\(565\) | 17.4111 | + | 18.2731i | 0.732490 | + | 0.768756i | ||||
\(566\) | 59.5602i | 2.50350i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 10.3225 | + | 10.3225i | 0.433122 | + | 0.433122i | ||||
\(569\) | −3.02998 | + | 5.24808i | −0.127023 | + | 0.220011i | −0.922522 | − | 0.385944i | \(-0.873876\pi\) |
0.795499 | + | 0.605955i | \(0.207209\pi\) | |||||||
\(570\) | 1.22518 | − | 3.40529i | 0.0513173 | − | 0.142632i | ||||
\(571\) | 10.6877 | + | 18.5116i | 0.447266 | + | 0.774687i | 0.998207 | − | 0.0598570i | \(-0.0190645\pi\) |
−0.550941 | + | 0.834544i | \(0.685731\pi\) | |||||||
\(572\) | −24.6546 | + | 6.60618i | −1.03086 | + | 0.276218i | ||||
\(573\) | −27.3303 | − | 18.0239i | −1.14174 | − | 0.752961i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −2.69597 | − | 12.4354i | −0.112430 | − | 0.518591i | ||||
\(576\) | −3.04649 | + | 25.5162i | −0.126937 | + | 1.06317i | ||||
\(577\) | −38.1345 | − | 10.2181i | −1.58756 | − | 0.425386i | −0.646305 | − | 0.763079i | \(-0.723687\pi\) |
−0.941256 | + | 0.337694i | \(0.890353\pi\) | |||||||
\(578\) | −17.9855 | − | 4.81921i | −0.748100 | − | 0.200453i | ||||
\(579\) | −8.41967 | + | 25.3041i | −0.349909 | + | 1.05160i | ||||
\(580\) | −23.3474 | − | 42.7934i | −0.969448 | − | 1.77690i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 34.0292 | − | 51.5996i | 1.41056 | − | 2.13887i | ||||
\(583\) | 10.8222 | − | 2.89980i | 0.448210 | − | 0.120098i | ||||
\(584\) | 7.81384 | + | 13.5340i | 0.323339 | + | 0.560040i | ||||
\(585\) | 9.75374 | − | 7.29875i | 0.403268 | − | 0.301766i | ||||
\(586\) | 29.5322 | − | 51.1512i | 1.21996 | − | 2.11304i | ||||
\(587\) | −28.9592 | − | 28.9592i | −1.19527 | − | 1.19527i | −0.975566 | − | 0.219708i | \(-0.929489\pi\) |
−0.219708 | − | 0.975566i | \(-0.570511\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.248190i | 0.0102265i | ||||||||
\(590\) | 30.1403 | − | 28.7185i | 1.24086 | − | 1.18232i | ||||
\(591\) | −0.946704 | − | 1.06646i | −0.0389422 | − | 0.0438682i | ||||
\(592\) | −18.5677 | − | 4.97521i | −0.763129 | − | 0.204480i | ||||
\(593\) | 8.08560 | + | 30.1759i | 0.332036 | + | 1.23917i | 0.907047 | + | 0.421029i | \(0.138331\pi\) |
−0.575011 | + | 0.818146i | \(0.695002\pi\) | |||||||
\(594\) | 37.0316 | − | 25.7253i | 1.51942 | − | 1.05552i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 70.2592i | 2.87793i | ||||||||
\(597\) | −7.16032 | + | 3.58495i | −0.293052 | + | 0.146722i | ||||
\(598\) | −2.91800 | + | 10.8901i | −0.119326 | + | 0.445330i | ||||
\(599\) | −8.18471 | − | 14.1763i | −0.334418 | − | 0.579229i | 0.648955 | − | 0.760827i | \(-0.275206\pi\) |
−0.983373 | + | 0.181598i | \(0.941873\pi\) | |||||||
\(600\) | −32.1151 | + | 25.8471i | −1.31109 | + | 1.05520i | ||||
\(601\) | 0.0942728 | 0.00384547 | 0.00192273 | − | 0.999998i | \(-0.499388\pi\) | ||||
0.00192273 | + | 0.999998i | \(0.499388\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 35.7269 | + | 14.2959i | 1.45491 | + | 0.582175i | ||||
\(604\) | −68.1188 | − | 39.3284i | −2.77171 | − | 1.60025i | ||||
\(605\) | 3.15529 | + | 1.92477i | 0.128281 | + | 0.0782532i | ||||
\(606\) | −0.576928 | + | 0.512143i | −0.0234361 | + | 0.0208044i | ||||
\(607\) | 0.226095 | + | 0.843796i | 0.00917689 | + | 0.0342486i | 0.970362 | − | 0.241654i | \(-0.0776899\pi\) |
−0.961186 | + | 0.275903i | \(0.911023\pi\) | |||||||
\(608\) | −0.127203 | + | 0.127203i | −0.00515874 | + | 0.00515874i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −57.1467 | − | 16.8017i | −2.31380 | − | 0.680280i | ||||
\(611\) | −4.56765 | − | 2.63713i | −0.184787 | − | 0.106687i | ||||
\(612\) | −5.16921 | − | 35.9099i | −0.208953 | − | 1.45157i | ||||
\(613\) | 0.280310 | − | 1.04613i | 0.0113216 | − | 0.0422528i | −0.960034 | − | 0.279884i | \(-0.909704\pi\) |
0.971356 | + | 0.237631i | \(0.0763708\pi\) | |||||||
\(614\) | −16.1382 | + | 27.9523i | −0.651287 | + | 1.12806i | ||||
\(615\) | −39.0094 | − | 3.26757i | −1.57301 | − | 0.131761i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −19.6770 | − | 19.6770i | −0.792168 | − | 0.792168i | 0.189679 | − | 0.981846i | \(-0.439255\pi\) |
−0.981846 | + | 0.189679i | \(0.939255\pi\) | |||||||
\(618\) | −18.3588 | + | 9.19168i | −0.738499 | + | 0.369744i | ||||
\(619\) | −16.1891 | + | 9.34677i | −0.650694 | + | 0.375679i | −0.788722 | − | 0.614750i | \(-0.789257\pi\) |
0.138028 | + | 0.990428i | \(0.455924\pi\) | |||||||
\(620\) | 2.98137 | − | 4.88736i | 0.119735 | − | 0.196281i | ||||
\(621\) | −1.10355 | − | 13.1773i | −0.0442840 | − | 0.528787i | ||||
\(622\) | −4.70222 | + | 4.70222i | −0.188542 | + | 0.188542i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 11.4315 | − | 2.34567i | 0.457628 | − | 0.0939018i | ||||
\(625\) | 24.8834 | + | 2.41150i | 0.995337 | + | 0.0964602i | ||||
\(626\) | −54.7501 | + | 31.6100i | −2.18825 | + | 1.26339i | ||||
\(627\) | 2.35573 | + | 0.140133i | 0.0940789 | + | 0.00559638i | ||||
\(628\) | 39.4521 | − | 10.5712i | 1.57431 | − | 0.421836i | ||||
\(629\) | −15.8579 | −0.632296 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.63531 | −0.303957 | −0.151978 | − | 0.988384i | \(-0.548564\pi\) | ||||
−0.151978 | + | 0.988384i | \(0.548564\pi\) | |||||||
\(632\) | 17.0567 | − | 4.57034i | 0.678481 | − | 0.181798i | ||||
\(633\) | −39.4457 | − | 2.34647i | −1.56782 | − | 0.0932636i | ||||
\(634\) | 9.96121 | − | 5.75111i | 0.395610 | − | 0.228406i | ||||
\(635\) | 6.09321 | + | 6.39489i | 0.241802 | + | 0.253773i | ||||
\(636\) | −21.1164 | + | 4.33292i | −0.837319 | + | 0.171812i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 33.8548 | − | 33.8548i | 1.34033 | − | 1.34033i | ||||
\(639\) | 1.09071 | − | 9.13531i | 0.0431477 | − | 0.361387i | ||||
\(640\) | 43.3714 | − | 10.5056i | 1.71440 | − | 0.415270i | ||||
\(641\) | 23.0817 | − | 13.3263i | 0.911674 | − | 0.526355i | 0.0307047 | − | 0.999528i | \(-0.490225\pi\) |
0.880969 | + | 0.473173i | \(0.156892\pi\) | |||||||
\(642\) | 40.7115 | − | 20.3830i | 1.60676 | − | 0.804453i | ||||
\(643\) | 21.9767 | + | 21.9767i | 0.866677 | + | 0.866677i | 0.992103 | − | 0.125426i | \(-0.0400298\pi\) |
−0.125426 | + | 0.992103i | \(0.540030\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1.40221 | + | 1.18546i | −0.0552120 | + | 0.0466774i | ||||
\(646\) | 1.42995 | − | 2.47675i | 0.0562606 | − | 0.0974462i | ||||
\(647\) | −6.11969 | + | 22.8390i | −0.240590 | + | 0.897893i | 0.734959 | + | 0.678111i | \(0.237201\pi\) |
−0.975549 | + | 0.219782i | \(0.929465\pi\) | |||||||
\(648\) | −36.5742 | + | 22.3100i | −1.43677 | + | 0.876419i | ||||
\(649\) | 23.5103 | + | 13.5737i | 0.922861 | + | 0.532814i | ||||
\(650\) | −18.6263 | − | 11.9890i | −0.730583 | − | 0.470246i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −55.8848 | + | 55.8848i | −2.18862 | + | 2.18862i | ||||
\(653\) | 7.04229 | + | 26.2822i | 0.275586 | + | 1.02850i | 0.955448 | + | 0.295161i | \(0.0953733\pi\) |
−0.679861 | + | 0.733341i | \(0.737960\pi\) | |||||||
\(654\) | 32.2641 | − | 28.6411i | 1.26163 | − | 1.11996i | ||||
\(655\) | −10.2797 | + | 16.8515i | −0.401660 | + | 0.658442i | ||||
\(656\) | −32.4751 | − | 18.7495i | −1.26794 | − | 0.732046i | ||||
\(657\) | 3.65897 | − | 9.14410i | 0.142750 | − | 0.356745i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 43.7515 | 1.70432 | 0.852158 | − | 0.523285i | \(-0.175294\pi\) | ||||
0.852158 | + | 0.523285i | \(0.175294\pi\) | |||||||
\(660\) | −44.7057 | − | 31.0575i | −1.74017 | − | 1.20891i | ||||
\(661\) | 4.32752 | + | 7.49549i | 0.168321 | + | 0.291541i | 0.937830 | − | 0.347096i | \(-0.112832\pi\) |
−0.769509 | + | 0.638636i | \(0.779499\pi\) | |||||||
\(662\) | 6.38480 | − | 23.8284i | 0.248152 | − | 0.926117i | ||||
\(663\) | 8.60834 | − | 4.30993i | 0.334320 | − | 0.167384i | ||||
\(664\) | − | 6.55674i | − | 0.254451i | ||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 14.9329 | + | 34.8554i | 0.578638 | + | 1.35062i | ||||
\(667\) | −3.63408 | − | 13.5626i | −0.140712 | − | 0.525145i | ||||
\(668\) | 32.8643 | + | 8.80597i | 1.27156 | + | 0.340713i | ||||
\(669\) | −15.4666 | − | 17.4231i | −0.597975 | − | 0.673617i | ||||
\(670\) | 1.68980 | − | 69.9500i | 0.0652828 | − | 2.70240i | ||||
\(671\) | − | 38.8418i | − | 1.49947i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 6.15620 | + | 6.15620i | 0.237304 | + | 0.237304i | 0.815733 | − | 0.578429i | \(-0.196334\pi\) |
−0.578429 | + | 0.815733i | \(0.696334\pi\) | |||||||
\(674\) | −15.1587 | + | 26.2556i | −0.583891 | + | 1.01133i | ||||
\(675\) | 25.3169 | + | 5.83580i | 0.974446 | + | 0.224620i | ||||
\(676\) | −19.1678 | − | 33.1996i | −0.737222 | − | 1.27691i | ||||
\(677\) | −5.23005 | + | 1.40139i | −0.201007 | + | 0.0538597i | −0.357918 | − | 0.933753i | \(-0.616513\pi\) |
0.156911 | + | 0.987613i | \(0.449847\pi\) | |||||||
\(678\) | 26.2579 | − | 39.8157i | 1.00843 | − | 1.52911i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −28.5981 | + | 15.6026i | −1.09669 | + | 0.598334i | ||||
\(681\) | 1.20829 | − | 3.63134i | 0.0463016 | − | 0.139153i | ||||
\(682\) | 5.43115 | + | 1.45527i | 0.207970 | + | 0.0557253i | ||||
\(683\) | 6.89389 | + | 1.84721i | 0.263788 | + | 0.0706817i | 0.388289 | − | 0.921538i | \(-0.373066\pi\) |
−0.124501 | + | 0.992219i | \(0.539733\pi\) | |||||||
\(684\) | −4.50840 | − | 0.538278i | −0.172383 | − | 0.0205816i | ||||
\(685\) | −25.6533 | − | 7.54232i | −0.980163 | − | 0.288177i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −36.8766 | − | 24.3196i | −1.40693 | − | 0.927850i | ||||
\(688\) | −1.69898 | + | 0.455240i | −0.0647730 | + | 0.0173559i | ||||
\(689\) | −2.86001 | − | 4.95369i | −0.108958 | − | 0.188721i | ||||
\(690\) | −21.7539 | + | 10.2421i | −0.828156 | + | 0.389910i | ||||
\(691\) | −18.5623 | + | 32.1509i | −0.706144 | + | 1.22308i | 0.260133 | + | 0.965573i | \(0.416234\pi\) |
−0.966277 | + | 0.257504i | \(0.917100\pi\) | |||||||
\(692\) | 4.69713 | + | 4.69713i | 0.178558 | + | 0.178558i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 26.9534i | − | 1.02314i | ||||||
\(695\) | −17.9580 | − | 0.433818i | −0.681187 | − | 0.0164556i | ||||
\(696\) | −34.0199 | + | 30.1998i | −1.28952 | + | 1.14472i | ||||
\(697\) | −29.8809 | − | 8.00657i | −1.13182 | − | 0.303271i | ||||
\(698\) | −4.32340 | − | 16.1352i | −0.163643 | − | 0.610725i | ||||
\(699\) | 8.98517 | + | 43.7890i | 0.339850 | + | 1.65625i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 23.4224i | − | 0.884654i | −0.896854 | − | 0.442327i | \(-0.854153\pi\) | ||
0.896854 | − | 0.442327i | \(-0.145847\pi\) | |||||||
\(702\) | −17.5794 | − | 14.8625i | −0.663490 | − | 0.560948i | ||||
\(703\) | −0.513653 | + | 1.91698i | −0.0193728 | + | 0.0723003i | ||||
\(704\) | 15.2347 | + | 26.3872i | 0.574178 | + | 0.994506i | ||||
\(705\) | −1.99419 | − | 11.0701i | −0.0751057 | − | 0.416924i | ||||
\(706\) | −54.3705 | −2.04626 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −43.6031 | − | 28.7556i | −1.63870 | − | 1.08070i | ||||
\(709\) | 9.67685 | + | 5.58693i | 0.363422 | + | 0.209822i | 0.670581 | − | 0.741837i | \(-0.266045\pi\) |
−0.307159 | + | 0.951658i | \(0.599378\pi\) | |||||||
\(710\) | −16.2587 | + | 3.93824i | −0.610177 | + | 0.147800i | ||||
\(711\) | −8.91020 | − | 6.66776i | −0.334159 | − | 0.250061i | ||||
\(712\) | 3.74455 | + | 13.9749i | 0.140333 | + | 0.523730i | ||||
\(713\) | 1.16599 | − | 1.16599i | 0.0436667 | − | 0.0436667i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.07436 | − | 13.8579i | 0.152373 | − | 0.518257i | ||||
\(716\) | −72.3786 | − | 41.7878i | −2.70492 | − | 1.56168i | ||||
\(717\) | −9.25347 | − | 0.550452i | −0.345577 | − | 0.0205570i | ||||
\(718\) | −16.9035 | + | 63.0846i | −0.630832 | + | 2.35430i | ||||
\(719\) | 22.9885 | − | 39.8173i | 0.857328 | − | 1.48494i | −0.0171399 | − | 0.999853i | \(-0.505456\pi\) |
0.874468 | − | 0.485083i | \(-0.161211\pi\) | |||||||
\(720\) | 19.5602 | + | 15.3882i | 0.728966 | + | 0.573483i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 32.5220 | + | 32.5220i | 1.21034 | + | 1.21034i | ||||
\(723\) | −6.24002 | − | 12.4634i | −0.232069 | − | 0.463518i | ||||
\(724\) | −76.7303 | + | 44.3002i | −2.85166 | + | 1.64641i | ||||
\(725\) | 27.5549 | + | 1.33208i | 1.02336 | + | 0.0494722i | ||||
\(726\) | 2.20504 | − | 6.62695i | 0.0818369 | − | 0.245949i | ||||
\(727\) | −35.2560 | + | 35.2560i | −1.30757 | + | 1.30757i | −0.384411 | + | 0.923162i | \(0.625595\pi\) |
−0.923162 | + | 0.384411i | \(0.874405\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 25.3024 | + | 9.42280i | 0.937125 | + | 0.348993i | ||||
\(730\) | −17.9033 | − | 0.432496i | −0.662632 | − | 0.0160074i | ||||
\(731\) | −1.25662 | + | 0.725512i | −0.0464779 | + | 0.0268340i | ||||
\(732\) | −4.43762 | + | 74.5994i | −0.164019 | + | 2.75727i | ||||
\(733\) | −42.1232 | + | 11.2869i | −1.55586 | + | 0.416890i | −0.931349 | − | 0.364129i | \(-0.881367\pi\) |
−0.624507 | + | 0.781019i | \(0.714700\pi\) | |||||||
\(734\) | −41.0140 | −1.51386 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.19519 | 0.0440552 | ||||||||
\(737\) | 44.0721 | − | 11.8091i | 1.62342 | − | 0.434993i | ||||
\(738\) | 10.5396 | + | 73.2174i | 0.387968 | + | 2.69517i | ||||
\(739\) | −13.3113 | + | 7.68531i | −0.489666 | + | 0.282709i | −0.724436 | − | 0.689342i | \(-0.757900\pi\) |
0.234770 | + | 0.972051i | \(0.424566\pi\) | |||||||
\(740\) | 33.1424 | − | 31.5789i | 1.21834 | − | 1.16086i | ||||
\(741\) | −0.242173 | − | 1.18022i | −0.00889643 | − | 0.0433565i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −34.3837 | + | 34.3837i | −1.26141 | + | 1.26141i | −0.311007 | + | 0.950408i | \(0.600666\pi\) |
−0.950408 | + | 0.311007i | \(0.899334\pi\) | |||||||
\(744\) | −5.06911 | − | 1.68669i | −0.185842 | − | 0.0618370i | ||||
\(745\) | −33.9434 | − | 20.7060i | −1.24359 | − | 0.758608i | ||||
\(746\) | 22.1642 | − | 12.7965i | 0.811490 | − | 0.468514i | ||||
\(747\) | −3.24773 | + | 2.55492i | −0.118828 | + | 0.0934798i | ||||
\(748\) | −30.4177 | − | 30.4177i | −1.11218 | − | 1.11218i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −6.12058 | − | 46.8430i | −0.223492 | − | 1.71046i | ||||
\(751\) | −10.8814 | + | 18.8472i | −0.397069 | + | 0.687744i | −0.993363 | − | 0.115022i | \(-0.963306\pi\) |
0.596294 | + | 0.802766i | \(0.296639\pi\) | |||||||
\(752\) | 2.78879 | − | 10.4079i | 0.101697 | − | 0.379537i | ||||
\(753\) | 0.437617 | − | 7.35664i | 0.0159477 | − | 0.268091i | ||||
\(754\) | −21.1686 | − | 12.2217i | −0.770915 | − | 0.445088i | ||||
\(755\) | 39.0754 | − | 21.3189i | 1.42210 | − | 0.775873i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −20.4109 | + | 20.4109i | −0.741847 | + | 0.741847i | −0.972933 | − | 0.231086i | \(-0.925772\pi\) |
0.231086 | + | 0.972933i | \(0.425772\pi\) | |||||||
\(758\) | −13.9380 | − | 52.0174i | −0.506252 | − | 1.88936i | ||||
\(759\) | −10.4088 | − | 11.7255i | −0.377816 | − | 0.425609i | ||||
\(760\) | 0.959804 | + | 3.96246i | 0.0348157 | + | 0.143734i | ||||
\(761\) | 25.7320 | + | 14.8564i | 0.932785 | + | 0.538544i | 0.887691 | − | 0.460439i | \(-0.152308\pi\) |
0.0450939 | + | 0.998983i | \(0.485641\pi\) | |||||||
\(762\) | 9.18925 | − | 13.9340i | 0.332891 | − | 0.504774i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 74.6853 | 2.70202 | ||||||||
\(765\) | 18.8720 | + | 8.08561i | 0.682320 | + | 0.292336i | ||||
\(766\) | 24.5295 | + | 42.4863i | 0.886286 | + | 1.53509i | ||||
\(767\) | 3.58716 | − | 13.3875i | 0.129525 | − | 0.483393i | ||||
\(768\) | −24.4681 | − | 48.8708i | −0.882916 | − | 1.76347i | ||||
\(769\) | − | 28.4557i | − | 1.02614i | −0.858347 | − | 0.513070i | \(-0.828508\pi\) | ||
0.858347 | − | 0.513070i | \(-0.171492\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −6.14563 | + | 1.26104i | −0.221329 | + | 0.0454151i | ||||
\(772\) | −15.7458 | − | 58.7643i | −0.566705 | − | 2.11497i | ||||
\(773\) | 16.9710 | + | 4.54737i | 0.610406 | + | 0.163558i | 0.550762 | − | 0.834662i | \(-0.314337\pi\) |
0.0596432 | + | 0.998220i | \(0.481004\pi\) | |||||||
\(774\) | 2.77799 | + | 2.07885i | 0.0998528 | + | 0.0747228i | ||||
\(775\) | 1.48253 | + | 2.88069i | 0.0532540 | + | 0.103478i | ||||
\(776\) | 69.6336i | 2.49970i | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 2.37726 | + | 2.37726i | 0.0852290 | + | 0.0852290i | ||||
\(779\) | −1.93575 | + | 3.35281i | −0.0693553 | + | 0.120127i | ||||
\(780\) | −9.40845 | + | 26.1500i | −0.336877 | + | 0.936319i | ||||
\(781\) | −5.45433 | − | 9.44717i | −0.195171 | − | 0.338046i | ||||
\(782\) | −18.3535 | + | 4.91782i | −0.656322 | + | 0.175861i | ||||
\(783\) | 28.2151 | + | 5.08323i | 1.00832 | + | 0.181660i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −6.51977 | + | 22.1754i | −0.232701 | + | 0.791473i | ||||
\(786\) | 35.3927 | + | 11.7765i | 1.26241 | + | 0.420054i | ||||
\(787\) | 15.5766 | + | 4.17374i | 0.555246 | + | 0.148778i | 0.525521 | − | 0.850780i | \(-0.323870\pi\) |
0.0297245 | + | 0.999558i | \(0.490537\pi\) | |||||||
\(788\) | 3.14233 | + | 0.841984i | 0.111941 | + | 0.0299944i | ||||
\(789\) | 12.6680 | + | 4.21512i | 0.450991 | + | 0.150062i | ||||
\(790\) | −5.70790 | + | 19.4140i | −0.203078 | + | 0.690719i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −18.8715 | + | 47.1617i | −0.670571 | + | 1.67582i | ||||
\(793\) | −19.1544 | + | 5.13241i | −0.680193 | + | 0.182257i | ||||
\(794\) | 27.1721 | + | 47.0635i | 0.964302 | + | 1.67022i | ||||
\(795\) | 4.12987 | − | 11.4786i | 0.146471 | − | 0.407104i | ||||
\(796\) | 9.13378 | − | 15.8202i | 0.323738 | − | 0.560731i | ||||
\(797\) | 7.99994 | + | 7.99994i | 0.283373 | + | 0.283373i | 0.834452 | − | 0.551080i | \(-0.185784\pi\) |
−0.551080 | + | 0.834452i | \(0.685784\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 8.88893i | − | 0.314468i | ||||||
\(800\) | −0.716587 | + | 2.23624i | −0.0253352 | + | 0.0790630i | ||||
\(801\) | 5.46301 | − | 7.30027i | 0.193026 | − | 0.257942i | ||||
\(802\) | 20.4449 | + | 5.47819i | 0.721934 | + | 0.193442i | ||||
\(803\) | −3.02247 | − | 11.2800i | −0.106661 | − | 0.398063i | ||||
\(804\) | −85.9938 | + | 17.6453i | −3.03277 | + | 0.622301i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | − | 2.87061i | − | 0.101113i | ||||||
\(807\) | 15.1245 | + | 30.2086i | 0.532408 | + | 1.06339i | ||||
\(808\) | 0.224938 | − | 0.839480i | 0.00791329 | − | 0.0295328i | ||||
\(809\) | −16.4490 | − | 28.4906i | −0.578317 | − | 1.00167i | −0.995673 | − | 0.0929313i | \(-0.970376\pi\) |
0.417355 | − | 0.908743i | \(-0.362957\pi\) | |||||||
\(810\) | 0.000844772 | − | 49.0945i | 2.96823e−5 | − | 1.72500i | ||||
\(811\) | 26.4235 | 0.927856 | 0.463928 | − | 0.885873i | \(-0.346440\pi\) | ||||
0.463928 | + | 0.885873i | \(0.346440\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 19.4313 | − | 29.4642i | 0.681484 | − | 1.03336i | ||||
\(814\) | 38.9375 | + | 22.4806i | 1.36476 | + | 0.787943i | ||||
\(815\) | −10.5291 | − | 43.4685i | −0.368819 | − | 1.52264i | ||||
\(816\) | 13.0566 | + | 14.7082i | 0.457073 | + | 0.514892i | ||||
\(817\) | 0.0470002 | + | 0.175407i | 0.00164433 | + | 0.00613671i | ||||
\(818\) | 13.5066 | − | 13.5066i | 0.472248 | − | 0.472248i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 78.3941 | − | 42.7705i | 2.73764 | − | 1.49361i | ||||
\(821\) | 19.3688 | + | 11.1826i | 0.675975 | + | 0.390275i | 0.798337 | − | 0.602211i | \(-0.205713\pi\) |
−0.122362 | + | 0.992486i | \(0.539047\pi\) | |||||||
\(822\) | −3.00037 | + | 50.4383i | −0.104650 | + | 1.75924i | ||||
\(823\) | −7.07326 | + | 26.3978i | −0.246558 | + | 0.920168i | 0.726035 | + | 0.687657i | \(0.241361\pi\) |
−0.972594 | + | 0.232511i | \(0.925306\pi\) | |||||||
\(824\) | 11.5650 | − | 20.0311i | 0.402884 | − | 0.697816i | ||||
\(825\) | 28.1795 | − | 12.4451i | 0.981086 | − | 0.433284i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 34.1284 | + | 34.1284i | 1.18676 | + | 1.18676i | 0.977958 | + | 0.208804i | \(0.0669569\pi\) |
0.208804 | + | 0.977958i | \(0.433043\pi\) | |||||||
\(828\) | 18.6515 | + | 23.7091i | 0.648185 | + | 0.823950i | ||||
\(829\) | 11.5297 | − | 6.65666i | 0.400442 | − | 0.231196i | −0.286232 | − | 0.958160i | \(-0.592403\pi\) |
0.686675 | + | 0.726965i | \(0.259070\pi\) | |||||||
\(830\) | 6.41443 | + | 3.91290i | 0.222648 | + | 0.135819i | ||||
\(831\) | −18.8766 | − | 6.28098i | −0.654823 | − | 0.217885i | ||||
\(832\) | 10.9995 | − | 10.9995i | 0.381340 | − | 0.381340i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 6.82295 | + | 33.2515i | 0.236260 | + | 1.15140i | ||||
\(835\) | −13.9397 | + | 13.2821i | −0.482403 | + | 0.459646i | ||||
\(836\) | −4.66230 | + | 2.69178i | −0.161249 | + | 0.0930972i | ||||
\(837\) | 1.13978 | + | 3.16810i | 0.0393967 | + | 0.109506i | ||||
\(838\) | −40.6683 | + | 10.8970i | −1.40486 | + | 0.376432i | ||||
\(839\) | −25.4141 | −0.877392 | −0.438696 | − | 0.898636i | \(-0.644560\pi\) | ||||
−0.438696 | + | 0.898636i | \(0.644560\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1.44184 | 0.0497185 | ||||||||
\(842\) | 71.2506 | − | 19.0915i | 2.45546 | − | 0.657938i | ||||
\(843\) | −0.120083 | + | 2.01868i | −0.00413589 | + | 0.0695271i | ||||
\(844\) | 78.0681 | − | 45.0727i | 2.68722 | − | 1.55146i | ||||
\(845\) | 21.6881 | + | 0.523927i | 0.746095 | + | 0.0180236i | ||||
\(846\) | −19.5377 | + | 8.37043i | −0.671721 | + | 0.287781i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 8.26305 | − | 8.26305i | 0.283754 | − | 0.283754i | ||||
\(849\) | −13.3510 | + | 40.1246i | −0.458205 | + | 1.37707i | ||||
\(850\) | 1.80264 | − | 37.2887i | 0.0618300 | − | 1.27899i | ||||
\(851\) | 11.4191 | − | 6.59279i | 0.391440 | − | 0.225998i | ||||
\(852\) | 9.39623 | + | 18.7673i | 0.321909 | + | 0.642958i | ||||
\(853\) | −33.5959 | − | 33.5959i | −1.15030 | − | 1.15030i | −0.986492 | − | 0.163811i | \(-0.947621\pi\) |
−0.163811 | − | 0.986492i | \(-0.552379\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 1.58871 | − | 2.01944i | 0.0543328 | − | 0.0690635i | ||||
\(856\) | −25.6458 | + | 44.4199i | −0.876557 | + | 1.51824i | ||||
\(857\) | 1.67126 | − | 6.23724i | 0.0570892 | − | 0.213060i | −0.931489 | − | 0.363770i | \(-0.881489\pi\) |
0.988578 | + | 0.150710i | \(0.0481560\pi\) | |||||||
\(858\) | −27.2468 | − | 1.62080i | −0.930190 | − | 0.0553333i | ||||
\(859\) | 20.2860 | + | 11.7121i | 0.692148 | + | 0.399612i | 0.804416 | − | 0.594066i | \(-0.202478\pi\) |
−0.112268 | + | 0.993678i | \(0.535811\pi\) | |||||||
\(860\) | 1.18154 | − | 4.01870i | 0.0402901 | − | 0.137037i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 35.2242 | − | 35.2242i | 1.19974 | − | 1.19974i | ||||
\(863\) | −4.24789 | − | 15.8533i | −0.144600 | − | 0.539654i | −0.999773 | − | 0.0213112i | \(-0.993216\pi\) |
0.855173 | − | 0.518343i | \(-0.173451\pi\) | |||||||
\(864\) | −1.03955 | + | 2.20788i | −0.0353664 | + | 0.0751136i | ||||
\(865\) | −3.65354 | + | 0.884975i | −0.124224 | + | 0.0300901i | ||||
\(866\) | 43.1254 | + | 24.8984i | 1.46546 | + | 0.846084i | ||||
\(867\) | −11.0362 | − | 7.27825i | −0.374810 | − | 0.247182i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −13.1954 | −0.447624 | ||||||||
\(870\) | −9.24202 | − | 51.3040i | −0.313334 | − | 1.73937i | ||||
\(871\) | −11.6470 | − | 20.1733i | −0.394645 | − | 0.683545i | ||||
\(872\) | −12.5794 | + | 46.9471i | −0.425993 | + | 1.58983i | ||||
\(873\) | 34.4914 | − | 27.1337i | 1.16736 | − | 0.918337i | ||||
\(874\) | 2.37796i | 0.0804357i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 4.51622 | + | 22.0097i | 0.152589 | + | 0.743637i | ||||
\(877\) | 8.78089 | + | 32.7707i | 0.296510 | + | 1.10659i | 0.940011 | + | 0.341144i | \(0.110814\pi\) |
−0.643501 | + | 0.765445i | \(0.722519\pi\) | |||||||
\(878\) | 34.2689 | + | 9.18234i | 1.15652 | + | 0.309889i | ||||
\(879\) | 31.3613 | − | 27.8397i | 1.05779 | − | 0.939009i | ||||
\(880\) | 29.5007 | + | 0.712656i | 0.994467 | + | 0.0240236i | ||||
\(881\) | − | 14.2708i | − | 0.480796i | −0.970674 | − | 0.240398i | \(-0.922722\pi\) | ||
0.970674 | − | 0.240398i | \(-0.0772780\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −26.8398 | − | 26.8398i | −0.903230 | − | 0.903230i | 0.0924838 | − | 0.995714i | \(-0.470519\pi\) |
−0.995714 | + | 0.0924838i | \(0.970519\pi\) | |||||||
\(884\) | −10.9809 | + | 19.0195i | −0.369327 | + | 0.639693i | ||||
\(885\) | 26.7425 | − | 12.5908i | 0.898939 | − | 0.423236i | ||||
\(886\) | −12.5152 | − | 21.6769i | −0.420456 | − | 0.728251i | ||||
\(887\) | 38.7423 | − | 10.3810i | 1.30084 | − | 0.348559i | 0.459071 | − | 0.888399i | \(-0.348182\pi\) |
0.841767 | + | 0.539841i | \(0.181516\pi\) | |||||||
\(888\) | −35.6621 | − | 23.5187i | −1.19674 | − | 0.789235i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −15.9062 | − | 4.67658i | −0.533177 | − | 0.156759i | ||||
\(891\) | 30.7140 | − | 9.02964i | 1.02896 | − | 0.302504i | ||||
\(892\) | 51.3373 | + | 13.7558i | 1.71890 | + | 0.460578i | ||||
\(893\) | −1.07454 | − | 0.287921i | −0.0359580 | − | 0.00963492i | ||||
\(894\) | −23.7210 | + | 71.2902i | −0.793350 | + | 2.38430i | ||||
\(895\) | 41.5189 | − | 22.6521i | 1.38783 | − | 0.757175i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −4.40693 | + | 6.68237i | −0.147143 | + | 0.223118i | ||||
\(898\) | 15.7911 | − | 4.23121i | 0.526956 | − | 0.141197i | ||||
\(899\) | 1.78753 | + | 3.09609i | 0.0596175 | + | 0.103260i | ||||
\(900\) | −55.5433 | + | 20.6826i | −1.85144 | + | 0.689420i | ||||
\(901\) | 4.82009 | − | 8.34865i | 0.160581 | − | 0.278134i | ||||
\(902\) | 62.0193 | + | 62.0193i | 2.06502 | + | 2.06502i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 53.7313i | 1.78707i | ||||||||
\(905\) | 1.21089 | − | 50.1253i | 0.0402514 | − | 1.66622i | ||||
\(906\) | −55.8403 | − | 62.9039i | −1.85517 | − | 2.08984i | ||||
\(907\) | 5.50258 | + | 1.47441i | 0.182710 | + | 0.0489570i | 0.349014 | − | 0.937118i | \(-0.386517\pi\) |
−0.166304 | + | 0.986075i | \(0.553183\pi\) | |||||||
\(908\) | 2.25965 | + | 8.43312i | 0.0749891 | + | 0.279863i | ||||
\(909\) | −0.503467 | + | 0.215697i | −0.0166989 | + | 0.00715422i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 11.4287i | − | 0.378651i | −0.981914 | − | 0.189326i | \(-0.939370\pi\) | ||
0.981914 | − | 0.189326i | \(-0.0606301\pi\) | |||||||
\(912\) | 2.20092 | − | 1.10193i | 0.0728798 | − | 0.0364887i | ||||
\(913\) | −1.26811 | + | 4.73264i | −0.0419682 | + | 0.156627i | ||||
\(914\) | 37.7468 | + | 65.3794i | 1.24855 | + | 2.16256i | ||||
\(915\) | −34.7324 | − | 24.1289i | −1.14822 | − | 0.797678i | ||||
\(916\) | 100.772 | 3.32962 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 6.87889 | − | 38.1821i | 0.227037 | − | 1.26020i | ||||
\(919\) | −32.2477 | − | 18.6182i | −1.06375 | − | 0.614158i | −0.137285 | − | 0.990532i | \(-0.543838\pi\) |
−0.926468 | + | 0.376374i | \(0.877171\pi\) | |||||||
\(920\) | 14.1064 | − | 23.1247i | 0.465075 | − | 0.762398i | ||||
\(921\) | −17.1378 | + | 15.2134i | −0.564710 | + | 0.501297i | ||||
\(922\) | 22.1889 | + | 82.8101i | 0.730753 | + | 2.72721i | ||||
\(923\) | −3.93806 | + | 3.93806i | −0.129623 | + | 0.129623i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 5.48894 | + | 25.3182i | 0.180475 | + | 0.832458i | ||||
\(926\) | 10.5041 | + | 6.06454i | 0.345186 | + | 0.199293i | ||||
\(927\) | −14.4284 | + | 2.07696i | −0.473890 | + | 0.0682162i | ||||
\(928\) | −0.670665 | + | 2.50295i | −0.0220156 | + | 0.0821635i | ||||
\(929\) | −1.75415 | + | 3.03828i | −0.0575519 | + | 0.0996828i | −0.893366 | − | 0.449330i | \(-0.851663\pi\) |
0.835814 | + | 0.549013i | \(0.184996\pi\) | |||||||
\(930\) | 4.67520 | − | 3.95251i | 0.153306 | − | 0.129608i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −72.1078 | − | 72.1078i | −2.36197 | − | 2.36197i | ||||
\(933\) | −4.22185 | + | 2.11375i | −0.138217 | + | 0.0692010i | ||||
\(934\) | 65.5614 | − | 37.8519i | 2.14523 | − | 1.23855i | ||||
\(935\) | 23.6596 | − | 5.73093i | 0.773753 | − | 0.187422i | ||||
\(936\) | 25.7509 | + | 3.07452i | 0.841696 | + | 0.100494i | ||||
\(937\) | 8.69968 | − | 8.69968i | 0.284206 | − | 0.284206i | −0.550578 | − | 0.834784i | \(-0.685593\pi\) |
0.834784 | + | 0.550578i | \(0.185593\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −43.9698 | + | 9.02227i | −1.43490 | + | 0.294431i | ||||
\(940\) | 17.7011 | + | 18.5775i | 0.577348 | + | 0.605932i | ||||
\(941\) | −36.0321 | + | 20.8032i | −1.17461 | + | 0.678164i | −0.954762 | − | 0.297370i | \(-0.903891\pi\) |
−0.219851 | + | 0.975533i | \(0.570557\pi\) | |||||||
\(942\) | 43.6001 | + | 2.59360i | 1.42057 | + | 0.0845040i | ||||
\(943\) | 24.8455 | − | 6.65734i | 0.809081 | − | 0.216793i | ||||
\(944\) | 28.3147 | 0.921564 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.11402 | 0.133758 | ||||||||
\(947\) | −53.1753 | + | 14.2483i | −1.72796 | + | 0.463007i | −0.979712 | − | 0.200408i | \(-0.935773\pi\) |
−0.748252 | + | 0.663415i | \(0.769106\pi\) | |||||||
\(948\) | 25.3431 | + | 1.50756i | 0.823105 | + | 0.0489632i | ||||
\(949\) | −5.16324 | + | 2.98100i | −0.167606 | + | 0.0967673i | ||||
\(950\) | −4.44925 | − | 1.42573i | −0.144353 | − | 0.0462568i | ||||
\(951\) | 7.99984 | − | 1.64151i | 0.259413 | − | 0.0532295i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 19.2607 | − | 19.2607i | 0.623916 | − | 0.623916i | −0.322614 | − | 0.946531i | \(-0.604562\pi\) |
0.946531 | + | 0.322614i | \(0.104562\pi\) | |||||||
\(954\) | −22.8891 | − | 2.73284i | −0.741064 | − | 0.0884789i | ||||
\(955\) | −22.0104 | + | 36.0817i | −0.712239 | + | 1.16758i | ||||
\(956\) | 18.3138 | − | 10.5735i | 0.592311 | − | 0.341971i | ||||
\(957\) | 30.3962 | − | 15.2185i | 0.982571 | − | 0.491943i | ||||
\(958\) | 25.1988 | + | 25.1988i | 0.814137 | + | 0.814137i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 33.0594 | + | 2.76918i | 1.06699 | + | 0.0893748i | ||||
\(961\) | 15.2901 | − | 26.4832i | 0.493228 | − | 0.854296i | ||||
\(962\) | 5.94100 | − | 22.1721i | 0.191545 | − | 0.714857i | ||||
\(963\) | 31.9956 | − | 4.60575i | 1.03104 | − | 0.148418i | ||||
\(964\) | 27.5368 | + | 15.8984i | 0.886902 | + | 0.512053i | ||||
\(965\) | 33.0304 | + | 9.71126i | 1.06329 | + | 0.312616i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 30.3993 | − | 30.3993i | 0.977576 | − | 0.977576i | −0.0221785 | − | 0.999754i | \(-0.507060\pi\) |
0.999754 | + | 0.0221785i | \(0.00706020\pi\) | |||||||
\(968\) | 2.03643 | + | 7.60007i | 0.0654534 | + | 0.244275i | ||||
\(969\) | 1.51852 | − | 1.34800i | 0.0487818 | − | 0.0433040i | ||||
\(970\) | −68.1223 | − | 41.5557i | −2.18728 | − | 1.33427i | ||||
\(971\) | −3.05677 | − | 1.76483i | −0.0980965 | − | 0.0566360i | 0.450149 | − | 0.892953i | \(-0.351371\pi\) |
−0.548246 | + | 0.836317i | \(0.684704\pi\) | |||||||
\(972\) | −60.0208 | + | 13.8333i | −1.92517 | + | 0.443702i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 4.03836 | 0.129397 | ||||||||
\(975\) | −9.86073 | − | 12.2520i | −0.315796 | − | 0.392378i | ||||
\(976\) | −20.2559 | − | 35.0843i | −0.648377 | − | 1.12302i | ||||
\(977\) | −10.3641 | + | 38.6793i | −0.331577 | + | 1.23746i | 0.575957 | + | 0.817480i | \(0.304630\pi\) |
−0.907533 | + | 0.419980i | \(0.862037\pi\) | |||||||
\(978\) | −75.5728 | + | 37.8370i | −2.41655 | + | 1.20989i | ||||
\(979\) | − | 10.8112i | − | 0.345528i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 28.1559 | − | 12.0626i | 0.898948 | − | 0.385131i | ||||
\(982\) | 20.6371 | + | 77.0186i | 0.658556 | + | 2.45776i | ||||
\(983\) | −35.7125 | − | 9.56912i | −1.13905 | − | 0.305208i | −0.360481 | − | 0.932766i | \(-0.617388\pi\) |
−0.778569 | + | 0.627559i | \(0.784054\pi\) | |||||||
\(984\) | −55.3235 | − | 62.3217i | −1.76365 | − | 1.98674i | ||||
\(985\) | −1.33285 | + | 1.26997i | −0.0424680 | + | 0.0404646i | ||||
\(986\) | − | 41.1954i | − | 1.31193i | ||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.94348 | + | 1.94348i | 0.0618304 | + | 0.0618304i | ||||
\(989\) | 0.603252 | − | 1.04486i | 0.0191823 | − | 0.0332247i | ||||
\(990\) | −34.8761 | − | 46.6069i | −1.10843 | − | 1.48127i | ||||
\(991\) | 20.0560 | + | 34.7381i | 0.637101 | + | 1.10349i | 0.986066 | + | 0.166356i | \(0.0532001\pi\) |
−0.348964 | + | 0.937136i | \(0.613467\pi\) | |||||||
\(992\) | −0.293945 | + | 0.0787622i | −0.00933275 | + | 0.00250070i | ||||
\(993\) | 9.64268 | − | 14.6215i | 0.306001 | − | 0.464000i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 4.95118 | + | 9.07501i | 0.156963 | + | 0.287697i | ||||
\(996\) | 2.97621 | − | 8.94460i | 0.0943050 | − | 0.283420i | ||||
\(997\) | 35.4747 | + | 9.50542i | 1.12350 | + | 0.301040i | 0.772297 | − | 0.635261i | \(-0.219108\pi\) |
0.351198 | + | 0.936301i | \(0.385774\pi\) | |||||||
\(998\) | −47.5282 | − | 12.7351i | −1.50448 | − | 0.403124i | ||||
\(999\) | 2.24681 | + | 26.8288i | 0.0710860 | + | 0.848825i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))