Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [667,2,Mod(10,667)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(667, base_ring=CyclotomicField(308))
chi = DirichletCharacter(H, H._module([42, 253]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("667.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 667 = 23 \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 667.x (of order \(308\), degree \(120\), 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: | \(5.32602181482\) |
Analytic rank: | \(0\) |
Dimension: | \(6960\) |
Relative dimension: | \(58\) over \(\Q(\zeta_{308})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{308}]$ |
Embedding invariants
Embedding label | 10.14 | ||
Character | \(\chi\) | \(=\) | 667.10 |
Dual form | 667.2.x.a.467.14 |
$q$-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 \(\left(\mathbb{Z}/667\mathbb{Z}\right)^\times\).
\(n\) | \(465\) | \(553\) |
\(\chi(n)\) | \(e\left(\frac{3}{22}\right)\) | \(e\left(\frac{23}{28}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.64944 | − | 0.502649i | −1.16633 | − | 0.355426i | −0.352095 | − | 0.935964i | \(-0.614531\pi\) |
−0.814233 | + | 0.580538i | \(0.802842\pi\) | |||||||
\(3\) | 1.73011 | + | 2.21548i | 0.998882 | + | 1.27911i | 0.960040 | + | 0.279863i | \(0.0902891\pi\) |
0.0388425 | + | 0.999245i | \(0.487633\pi\) | |||||||
\(4\) | 0.807886 | + | 0.542797i | 0.403943 | + | 0.271399i | ||||
\(5\) | 2.52603 | + | 1.93147i | 1.12967 | + | 0.863781i | 0.991943 | − | 0.126688i | \(-0.0404348\pi\) |
0.137730 | + | 0.990470i | \(0.456019\pi\) | |||||||
\(6\) | −1.74011 | − | 4.52394i | −0.710396 | − | 1.84689i | ||||
\(7\) | −0.0283849 | − | 0.172381i | −0.0107285 | − | 0.0651539i | 0.980810 | − | 0.194964i | \(-0.0624592\pi\) |
−0.991539 | + | 0.129811i | \(0.958563\pi\) | |||||||
\(8\) | 1.11787 | + | 1.37280i | 0.395226 | + | 0.485358i | ||||
\(9\) | −1.18797 | + | 4.75552i | −0.395991 | + | 1.58517i | ||||
\(10\) | −3.19567 | − | 4.45555i | −1.01056 | − | 1.40897i | ||||
\(11\) | −1.25612 | + | 1.15759i | −0.378735 | + | 0.349026i | −0.844188 | − | 0.536046i | \(-0.819917\pi\) |
0.465454 | + | 0.885072i | \(0.345891\pi\) | |||||||
\(12\) | 0.195179 | + | 2.72896i | 0.0563433 | + | 0.787782i | ||||
\(13\) | −3.66892 | + | 5.22715i | −1.01758 | + | 1.44975i | −0.128656 | + | 0.991689i | \(0.541066\pi\) |
−0.888921 | + | 0.458061i | \(0.848544\pi\) | |||||||
\(14\) | −0.0398278 | + | 0.298599i | −0.0106444 | + | 0.0798040i | ||||
\(15\) | 0.0911709 | + | 8.93803i | 0.0235402 | + | 2.30779i | ||||
\(16\) | −1.88956 | − | 4.62844i | −0.472391 | − | 1.15711i | ||||
\(17\) | −2.89940 | − | 2.17046i | −0.703207 | − | 0.526414i | 0.186779 | − | 0.982402i | \(-0.440195\pi\) |
−0.889986 | + | 0.455988i | \(0.849286\pi\) | |||||||
\(18\) | 4.34984 | − | 7.24679i | 1.02527 | − | 1.70808i | ||||
\(19\) | 0.357910 | + | 1.82363i | 0.0821103 | + | 0.418369i | 0.999779 | + | 0.0210226i | \(0.00669220\pi\) |
−0.917669 | + | 0.397346i | \(0.869931\pi\) | |||||||
\(20\) | 0.992342 | + | 2.93153i | 0.221895 | + | 0.655510i | ||||
\(21\) | 0.332797 | − | 0.361125i | 0.0726223 | − | 0.0788040i | ||||
\(22\) | 2.65375 | − | 1.27798i | 0.565782 | − | 0.272466i | ||||
\(23\) | 0.660942 | − | 4.75007i | 0.137816 | − | 0.990458i | ||||
\(24\) | −1.10737 | + | 4.85171i | −0.226041 | + | 0.990352i | ||||
\(25\) | 1.33971 | + | 4.93270i | 0.267941 | + | 0.986541i | ||||
\(26\) | 8.67908 | − | 6.77767i | 1.70211 | − | 1.32921i | ||||
\(27\) | −4.88486 | + | 2.17090i | −0.940092 | + | 0.417790i | ||||
\(28\) | 0.0706361 | − | 0.154671i | 0.0133490 | − | 0.0292301i | ||||
\(29\) | 5.10676 | + | 1.70909i | 0.948302 | + | 0.317369i | ||||
\(30\) | 4.34231 | − | 14.7885i | 0.792794 | − | 2.70001i | ||||
\(31\) | 1.90758 | − | 4.06673i | 0.342612 | − | 0.730407i | −0.657115 | − | 0.753791i | \(-0.728223\pi\) |
0.999727 | + | 0.0233839i | \(0.00744401\pi\) | |||||||
\(32\) | 0.465657 | + | 5.05827i | 0.0823173 | + | 0.894185i | ||||
\(33\) | −4.73785 | − | 0.780154i | −0.824754 | − | 0.135807i | ||||
\(34\) | 3.69139 | + | 5.03742i | 0.633068 | + | 0.863910i | ||||
\(35\) | 0.261248 | − | 0.490263i | 0.0441590 | − | 0.0828696i | ||||
\(36\) | −3.54103 | + | 3.19709i | −0.590171 | + | 0.532848i | ||||
\(37\) | −2.74006 | − | 4.56492i | −0.450464 | − | 0.750468i | 0.545700 | − | 0.837981i | \(-0.316264\pi\) |
−0.996163 | + | 0.0875128i | \(0.972108\pi\) | |||||||
\(38\) | 0.326294 | − | 3.18786i | 0.0529318 | − | 0.517140i | ||||
\(39\) | −17.9283 | + | 0.915135i | −2.87083 | + | 0.146539i | ||||
\(40\) | 0.172235 | + | 5.62686i | 0.0272328 | + | 0.889684i | ||||
\(41\) | −1.45816 | − | 3.90947i | −0.227726 | − | 0.610557i | 0.771959 | − | 0.635673i | \(-0.219277\pi\) |
−0.999685 | + | 0.0251159i | \(0.992005\pi\) | |||||||
\(42\) | −0.730447 | + | 0.428373i | −0.112710 | + | 0.0660994i | ||||
\(43\) | 1.55477 | + | 3.31458i | 0.237100 | + | 0.505469i | 0.987906 | − | 0.155054i | \(-0.0495552\pi\) |
−0.750806 | + | 0.660523i | \(0.770334\pi\) | |||||||
\(44\) | −1.64314 | + | 0.253380i | −0.247712 | + | 0.0381984i | ||||
\(45\) | −12.1860 | + | 9.71802i | −1.81658 | + | 1.44868i | ||||
\(46\) | −3.47780 | + | 7.50272i | −0.512773 | + | 1.10622i | ||||
\(47\) | 7.13177 | + | 0.803557i | 1.04028 | + | 0.117211i | 0.615539 | − | 0.788106i | \(-0.288938\pi\) |
0.424736 | + | 0.905317i | \(0.360367\pi\) | |||||||
\(48\) | 6.98505 | − | 12.1940i | 1.00820 | − | 1.76006i | ||||
\(49\) | 6.60151 | − | 2.23466i | 0.943073 | − | 0.319236i | ||||
\(50\) | 0.269657 | − | 8.80958i | 0.0381352 | − | 1.24586i | ||||
\(51\) | −0.207674 | − | 10.1787i | −0.0290802 | − | 1.42530i | ||||
\(52\) | −5.80136 | + | 2.23146i | −0.804503 | + | 0.309448i | ||||
\(53\) | −3.94443 | − | 2.20635i | −0.541810 | − | 0.303065i | 0.193158 | − | 0.981168i | \(-0.438127\pi\) |
−0.734967 | + | 0.678103i | \(0.762802\pi\) | |||||||
\(54\) | 9.14847 | − | 1.12540i | 1.24495 | − | 0.153147i | ||||
\(55\) | −5.40885 | + | 0.497930i | −0.729329 | + | 0.0671409i | ||||
\(56\) | 0.204914 | − | 0.231666i | 0.0273828 | − | 0.0309576i | ||||
\(57\) | −3.42099 | + | 3.94803i | −0.453121 | + | 0.522929i | ||||
\(58\) | −7.56421 | − | 5.38594i | −0.993230 | − | 0.707208i | ||||
\(59\) | −11.7503 | + | 3.45019i | −1.52976 | + | 0.449177i | −0.934976 | − | 0.354711i | \(-0.884579\pi\) |
−0.594781 | + | 0.803888i | \(0.702761\pi\) | |||||||
\(60\) | −4.77788 | + | 7.27040i | −0.616822 | + | 0.938605i | ||||
\(61\) | 2.02010 | + | 8.45231i | 0.258648 | + | 1.08221i | 0.937515 | + | 0.347946i | \(0.113121\pi\) |
−0.678867 | + | 0.734262i | \(0.737529\pi\) | |||||||
\(62\) | −5.19058 | + | 5.74898i | −0.659204 | + | 0.730121i | ||||
\(63\) | 0.853481 | + | 0.0697989i | 0.107528 | + | 0.00879383i | ||||
\(64\) | −0.251125 | + | 1.21388i | −0.0313906 | + | 0.151735i | ||||
\(65\) | −19.3639 | + | 6.11748i | −2.40180 | + | 0.758780i | ||||
\(66\) | 7.42264 | + | 3.66829i | 0.913664 | + | 0.451535i | ||||
\(67\) | 8.42334 | − | 0.343862i | 1.02907 | − | 0.0420095i | 0.479573 | − | 0.877502i | \(-0.340792\pi\) |
0.549502 | + | 0.835493i | \(0.314818\pi\) | |||||||
\(68\) | −1.16426 | − | 3.32727i | −0.141187 | − | 0.403491i | ||||
\(69\) | 11.6672 | − | 6.75386i | 1.40457 | − | 0.813069i | ||||
\(70\) | −0.677342 | + | 0.677342i | −0.0809579 | + | 0.0809579i | ||||
\(71\) | −5.50477 | − | 1.02219i | −0.653297 | − | 0.121311i | −0.154449 | − | 0.988001i | \(-0.549360\pi\) |
−0.498848 | + | 0.866690i | \(0.666243\pi\) | |||||||
\(72\) | −7.85636 | + | 3.68519i | −0.925881 | + | 0.434303i | ||||
\(73\) | 6.05942 | − | 7.13879i | 0.709201 | − | 0.835532i | −0.283137 | − | 0.959079i | \(-0.591375\pi\) |
0.992339 | + | 0.123547i | \(0.0394271\pi\) | |||||||
\(74\) | 2.22501 | + | 8.90684i | 0.258653 | + | 1.03540i | ||||
\(75\) | −8.61047 | + | 11.5022i | −0.994251 | + | 1.32816i | ||||
\(76\) | −0.700709 | + | 1.66756i | −0.0803769 | + | 0.191282i | ||||
\(77\) | 0.235201 | + | 0.183673i | 0.0268036 | + | 0.0209315i | ||||
\(78\) | 30.0316 | + | 7.50218i | 3.40041 | + | 0.849455i | ||||
\(79\) | 5.89434 | + | 14.0274i | 0.663165 | + | 1.57821i | 0.808284 | + | 0.588793i | \(0.200397\pi\) |
−0.145119 | + | 0.989414i | \(0.546357\pi\) | |||||||
\(80\) | 4.16662 | − | 15.3412i | 0.465842 | − | 1.71520i | ||||
\(81\) | −0.283510 | − | 0.151075i | −0.0315012 | − | 0.0167861i | ||||
\(82\) | 0.440048 | + | 7.18137i | 0.0485952 | + | 0.793049i | ||||
\(83\) | 8.61288 | + | 0.175727i | 0.945386 | + | 0.0192885i | 0.490668 | − | 0.871347i | \(-0.336753\pi\) |
0.454719 | + | 0.890635i | \(0.349740\pi\) | |||||||
\(84\) | 0.464880 | − | 0.111106i | 0.0507226 | − | 0.0121227i | ||||
\(85\) | −3.13176 | − | 11.0827i | −0.339687 | − | 1.20209i | ||||
\(86\) | −0.898427 | − | 6.24870i | −0.0968799 | − | 0.673814i | ||||
\(87\) | 5.04884 | + | 14.2709i | 0.541292 | + | 1.53000i | ||||
\(88\) | −2.99331 | − | 0.430373i | −0.319088 | − | 0.0458780i | ||||
\(89\) | −0.115527 | + | 11.3258i | −0.0122458 | + | 1.20053i | 0.793613 | + | 0.608423i | \(0.208198\pi\) |
−0.805858 | + | 0.592108i | \(0.798296\pi\) | |||||||
\(90\) | 24.9848 | − | 9.90397i | 2.63363 | − | 1.04397i | ||||
\(91\) | 1.00520 | + | 0.484080i | 0.105374 | + | 0.0507454i | ||||
\(92\) | 3.11229 | − | 3.47876i | 0.324479 | − | 0.362686i | ||||
\(93\) | 12.3101 | − | 2.80970i | 1.27650 | − | 0.291353i | ||||
\(94\) | −11.3595 | − | 4.91019i | −1.17164 | − | 0.506448i | ||||
\(95\) | −2.61820 | + | 5.29783i | −0.268622 | + | 0.543545i | ||||
\(96\) | −10.4009 | + | 9.78305i | −1.06153 | + | 0.998478i | ||||
\(97\) | −7.93982 | − | 0.730928i | −0.806167 | − | 0.0742145i | −0.319259 | − | 0.947668i | \(-0.603434\pi\) |
−0.486908 | + | 0.873453i | \(0.661875\pi\) | |||||||
\(98\) | −12.0120 | + | 0.367682i | −1.21340 | + | 0.0371415i | ||||
\(99\) | −4.01269 | − | 7.34869i | −0.403290 | − | 0.738571i | ||||
\(100\) | −1.59513 | + | 4.71225i | −0.159513 | + | 0.471225i | ||||
\(101\) | −0.650589 | − | 0.0867771i | −0.0647360 | − | 0.00863464i | 0.0997729 | − | 0.995010i | \(-0.468188\pi\) |
−0.164509 | + | 0.986376i | \(0.552604\pi\) | |||||||
\(102\) | −4.77377 | + | 16.8935i | −0.472673 | + | 1.67271i | ||||
\(103\) | 0.355767 | − | 8.71496i | 0.0350548 | − | 0.858710i | −0.884687 | − | 0.466186i | \(-0.845628\pi\) |
0.919742 | − | 0.392525i | \(-0.128398\pi\) | |||||||
\(104\) | −11.2772 | + | 0.806561i | −1.10582 | + | 0.0790898i | ||||
\(105\) | 1.53816 | − | 0.269422i | 0.150109 | − | 0.0262929i | ||||
\(106\) | 5.39708 | + | 5.62189i | 0.524210 | + | 0.546047i | ||||
\(107\) | −4.46428 | − | 0.456941i | −0.431578 | − | 0.0441741i | −0.116390 | − | 0.993204i | \(-0.537132\pi\) |
−0.315188 | + | 0.949029i | \(0.602067\pi\) | |||||||
\(108\) | −5.12477 | − | 0.897648i | −0.493131 | − | 0.0863762i | ||||
\(109\) | 10.0751 | + | 14.9955i | 0.965020 | + | 1.43631i | 0.898725 | + | 0.438512i | \(0.144494\pi\) |
0.0662945 | + | 0.997800i | \(0.478882\pi\) | |||||||
\(110\) | 9.17183 | + | 1.89744i | 0.874500 | + | 0.180914i | ||||
\(111\) | 5.37287 | − | 13.9684i | 0.509970 | − | 1.32582i | ||||
\(112\) | −0.744219 | + | 0.457103i | −0.0703221 | + | 0.0431921i | ||||
\(113\) | 4.22431 | + | 10.6567i | 0.397390 | + | 1.00250i | 0.981609 | + | 0.190902i | \(0.0611411\pi\) |
−0.584219 | + | 0.811596i | \(0.698599\pi\) | |||||||
\(114\) | 7.62717 | − | 4.79247i | 0.714350 | − | 0.448856i | ||||
\(115\) | 10.8442 | − | 10.7222i | 1.01123 | − | 0.999851i | ||||
\(116\) | 3.19800 | + | 4.15268i | 0.296926 | + | 0.385567i | ||||
\(117\) | −20.4992 | − | 23.6573i | −1.89515 | − | 2.18712i | ||||
\(118\) | 21.1156 | + | 0.215386i | 1.94385 | + | 0.0198279i | ||||
\(119\) | −0.291847 | + | 0.561409i | −0.0267536 | + | 0.0514643i | ||||
\(120\) | −12.1682 | + | 10.1167i | −1.11080 | + | 0.923524i | ||||
\(121\) | −0.658770 | + | 8.05526i | −0.0598882 | + | 0.732296i | ||||
\(122\) | 0.916508 | − | 14.9570i | 0.0829768 | − | 1.35414i | ||||
\(123\) | 6.13858 | − | 9.99436i | 0.553497 | − | 0.901161i | ||||
\(124\) | 3.74852 | − | 2.25003i | 0.336627 | − | 0.202058i | ||||
\(125\) | −0.133885 | + | 0.327947i | −0.0119750 | + | 0.0293325i | ||||
\(126\) | −1.37268 | − | 0.544130i | −0.122288 | − | 0.0484749i | ||||
\(127\) | 2.91711 | + | 3.16541i | 0.258852 | + | 0.280885i | 0.851250 | − | 0.524760i | \(-0.175845\pi\) |
−0.592399 | + | 0.805645i | \(0.701819\pi\) | |||||||
\(128\) | 5.89322 | − | 10.7926i | 0.520892 | − | 0.953942i | ||||
\(129\) | −4.65346 | + | 9.17917i | −0.409714 | + | 0.808181i | ||||
\(130\) | 35.0145 | − | 0.357159i | 3.07097 | − | 0.0313249i | ||||
\(131\) | 0.950072 | + | 1.07411i | 0.0830082 | + | 0.0938451i | 0.789064 | − | 0.614311i | \(-0.210566\pi\) |
−0.706056 | + | 0.708156i | \(0.749527\pi\) | |||||||
\(132\) | −3.40418 | − | 3.20197i | −0.296296 | − | 0.278695i | ||||
\(133\) | 0.304199 | − | 0.113460i | 0.0263774 | − | 0.00983827i | ||||
\(134\) | −14.0666 | − | 3.66680i | −1.21517 | − | 0.316763i | ||||
\(135\) | −16.5323 | − | 3.95123i | −1.42288 | − | 0.340068i | ||||
\(136\) | −0.261533 | − | 6.40658i | −0.0224263 | − | 0.549359i | ||||
\(137\) | −2.35667 | − | 20.9160i | −0.201344 | − | 1.78697i | −0.535580 | − | 0.844484i | \(-0.679907\pi\) |
0.334236 | − | 0.942489i | \(-0.391522\pi\) | |||||||
\(138\) | −22.6391 | + | 5.27557i | −1.92717 | + | 0.449086i | ||||
\(139\) | −0.779809 | − | 3.41657i | −0.0661425 | − | 0.289789i | 0.931029 | − | 0.364944i | \(-0.118912\pi\) |
−0.997172 | + | 0.0751550i | \(0.976055\pi\) | |||||||
\(140\) | 0.477172 | − | 0.254272i | 0.0403284 | − | 0.0214899i | ||||
\(141\) | 10.5585 | + | 17.1905i | 0.889187 | + | 1.44770i | ||||
\(142\) | 8.56598 | + | 4.45300i | 0.718841 | + | 0.373687i | ||||
\(143\) | −1.44227 | − | 10.8130i | −0.120609 | − | 0.904232i | ||||
\(144\) | 24.2554 | − | 3.48739i | 2.02128 | − | 0.290616i | ||||
\(145\) | 9.59876 | + | 14.1808i | 0.797133 | + | 1.17765i | ||||
\(146\) | −13.5829 | + | 8.72922i | −1.12413 | + | 0.722435i | ||||
\(147\) | 16.3722 | + | 10.7593i | 1.35036 | + | 0.887413i | ||||
\(148\) | 0.264165 | − | 5.17523i | 0.0217143 | − | 0.425402i | ||||
\(149\) | −14.5472 | + | 6.28807i | −1.19175 | + | 0.515139i | −0.897681 | − | 0.440645i | \(-0.854750\pi\) |
−0.294068 | + | 0.955784i | \(0.595009\pi\) | |||||||
\(150\) | 19.9840 | − | 14.6442i | 1.63169 | − | 1.19569i | ||||
\(151\) | 10.1035 | − | 5.65148i | 0.822214 | − | 0.459911i | −0.0195164 | − | 0.999810i | \(-0.506213\pi\) |
0.841730 | + | 0.539898i | \(0.181537\pi\) | |||||||
\(152\) | −2.10338 | + | 2.52991i | −0.170607 | + | 0.205203i | ||||
\(153\) | 13.7661 | − | 11.2097i | 1.11292 | − | 0.906249i | ||||
\(154\) | −0.295626 | − | 0.421181i | −0.0238222 | − | 0.0339397i | ||||
\(155\) | 12.6734 | − | 6.58823i | 1.01795 | − | 0.529179i | ||||
\(156\) | −14.9808 | − | 8.99211i | −1.19942 | − | 0.719945i | ||||
\(157\) | 2.87916 | − | 2.15531i | 0.229782 | − | 0.172013i | −0.478183 | − | 0.878260i | \(-0.658704\pi\) |
0.707965 | + | 0.706248i | \(0.249613\pi\) | |||||||
\(158\) | −2.67148 | − | 26.1001i | −0.212531 | − | 2.07641i | ||||
\(159\) | −1.93620 | − | 12.5561i | −0.153551 | − | 0.995760i | ||||
\(160\) | −8.59366 | + | 13.6767i | −0.679388 | + | 1.08124i | ||||
\(161\) | −0.837582 | + | 0.0208967i | −0.0660107 | + | 0.00164689i | ||||
\(162\) | 0.391695 | + | 0.391695i | 0.0307745 | + | 0.0307745i | ||||
\(163\) | 11.2632 | + | 16.4001i | 0.882205 | + | 1.28455i | 0.957807 | + | 0.287413i | \(0.0927952\pi\) |
−0.0756022 | + | 0.997138i | \(0.524088\pi\) | |||||||
\(164\) | 0.944025 | − | 3.94989i | 0.0737160 | − | 0.308435i | ||||
\(165\) | −10.4611 | − | 11.1217i | −0.814394 | − | 0.865825i | ||||
\(166\) | −14.1181 | − | 4.61910i | −1.09578 | − | 0.358512i | ||||
\(167\) | −4.90622 | + | 3.29636i | −0.379655 | + | 0.255080i | −0.732736 | − | 0.680513i | \(-0.761757\pi\) |
0.353082 | + | 0.935592i | \(0.385134\pi\) | |||||||
\(168\) | 0.867776 | + | 0.0531741i | 0.0669503 | + | 0.00410247i | ||||
\(169\) | −9.44352 | − | 26.1300i | −0.726424 | − | 2.01000i | ||||
\(170\) | −0.405086 | + | 19.8545i | −0.0310687 | + | 1.52277i | ||||
\(171\) | −9.09748 | − | 0.464373i | −0.695702 | − | 0.0355115i | ||||
\(172\) | −0.543068 | + | 3.52173i | −0.0414085 | + | 0.268529i | ||||
\(173\) | −18.0431 | − | 15.6344i | −1.37179 | − | 1.18867i | −0.960872 | − | 0.276994i | \(-0.910662\pi\) |
−0.410921 | − | 0.911671i | \(-0.634793\pi\) | |||||||
\(174\) | −1.15452 | − | 26.0767i | −0.0875237 | − | 1.97687i | ||||
\(175\) | 0.812276 | − | 0.370954i | 0.0614023 | − | 0.0280415i | ||||
\(176\) | 7.73134 | + | 3.62654i | 0.582772 | + | 0.273361i | ||||
\(177\) | −27.9732 | − | 20.0633i | −2.10259 | − | 1.50805i | ||||
\(178\) | 5.88345 | − | 18.6231i | 0.440983 | − | 1.39586i | ||||
\(179\) | −0.792778 | + | 1.03681i | −0.0592550 | + | 0.0774951i | −0.823069 | − | 0.567941i | \(-0.807740\pi\) |
0.763814 | + | 0.645436i | \(0.223324\pi\) | |||||||
\(180\) | −15.1198 | + | 1.23652i | −1.12696 | + | 0.0921647i | ||||
\(181\) | 1.36232 | − | 11.0745i | 0.101261 | − | 0.823160i | −0.852528 | − | 0.522682i | \(-0.824932\pi\) |
0.953789 | − | 0.300478i | \(-0.0971463\pi\) | |||||||
\(182\) | −1.41470 | − | 1.30372i | −0.104864 | − | 0.0966384i | ||||
\(183\) | −15.2309 | + | 19.0990i | −1.12590 | + | 1.41184i | ||||
\(184\) | 7.25974 | − | 4.40260i | 0.535195 | − | 0.324564i | ||||
\(185\) | 1.89555 | − | 16.8235i | 0.139364 | − | 1.23689i | ||||
\(186\) | −21.7170 | − | 1.55323i | −1.59237 | − | 0.113889i | ||||
\(187\) | 6.15449 | − | 0.629943i | 0.450061 | − | 0.0460660i | ||||
\(188\) | 5.32549 | + | 4.52029i | 0.388401 | + | 0.329676i | ||||
\(189\) | 0.512878 | + | 0.780436i | 0.0373064 | + | 0.0567683i | ||||
\(190\) | 6.98150 | − | 7.42239i | 0.506491 | − | 0.538477i | ||||
\(191\) | 16.9386 | − | 9.24917i | 1.22563 | − | 0.669246i | 0.269732 | − | 0.962935i | \(-0.413065\pi\) |
0.955901 | + | 0.293689i | \(0.0948831\pi\) | |||||||
\(192\) | −3.12381 | + | 1.54379i | −0.225442 | + | 0.111414i | ||||
\(193\) | 6.21670 | − | 5.96810i | 0.447488 | − | 0.429593i | −0.434639 | − | 0.900605i | \(-0.643124\pi\) |
0.882127 | + | 0.471012i | \(0.156111\pi\) | |||||||
\(194\) | 12.7288 | + | 5.19656i | 0.913877 | + | 0.373091i | ||||
\(195\) | −47.0549 | − | 32.3164i | −3.36967 | − | 2.31423i | ||||
\(196\) | 6.54623 | + | 1.77794i | 0.467588 | + | 0.126995i | ||||
\(197\) | −3.08140 | − | 5.50882i | −0.219540 | − | 0.392487i | 0.740625 | − | 0.671918i | \(-0.234529\pi\) |
−0.960166 | + | 0.279431i | \(0.909854\pi\) | |||||||
\(198\) | 2.92487 | + | 14.1382i | 0.207861 | + | 1.00476i | ||||
\(199\) | 1.16657 | + | 9.48314i | 0.0826956 | + | 0.672242i | 0.975219 | + | 0.221241i | \(0.0710108\pi\) |
−0.892523 | + | 0.451001i | \(0.851067\pi\) | |||||||
\(200\) | −5.27400 | + | 7.35325i | −0.372928 | + | 0.519954i | ||||
\(201\) | 15.3352 | + | 18.0668i | 1.08166 | + | 1.27434i | ||||
\(202\) | 1.02949 | + | 0.470151i | 0.0724345 | + | 0.0330797i | ||||
\(203\) | 0.149659 | − | 0.928821i | 0.0105040 | − | 0.0651904i | ||||
\(204\) | 5.35720 | − | 8.33596i | 0.375079 | − | 0.583634i | ||||
\(205\) | 3.86770 | − | 12.6918i | 0.270132 | − | 0.886435i | ||||
\(206\) | −4.96738 | + | 14.1959i | −0.346094 | + | 0.989079i | ||||
\(207\) | 21.8038 | + | 8.78608i | 1.51547 | + | 0.610675i | ||||
\(208\) | 31.1262 | + | 7.10435i | 2.15821 | + | 0.492598i | ||||
\(209\) | −2.56059 | − | 1.87639i | −0.177120 | − | 0.129792i | ||||
\(210\) | −2.67252 | − | 0.328759i | −0.184421 | − | 0.0226865i | ||||
\(211\) | 2.67388 | + | 0.0818461i | 0.184077 | + | 0.00563451i | 0.122504 | − | 0.992468i | \(-0.460908\pi\) |
0.0615735 | + | 0.998103i | \(0.480388\pi\) | |||||||
\(212\) | −1.98905 | − | 3.92350i | −0.136609 | − | 0.269467i | ||||
\(213\) | −7.25926 | − | 13.9642i | −0.497396 | − | 0.956813i | ||||
\(214\) | 7.13386 | + | 2.99766i | 0.487661 | + | 0.204916i | ||||
\(215\) | −2.47464 | + | 11.3757i | −0.168769 | + | 0.775818i | ||||
\(216\) | −8.44083 | − | 4.27915i | −0.574326 | − | 0.291159i | ||||
\(217\) | −0.755174 | − | 0.213397i | −0.0512645 | − | 0.0144863i | ||||
\(218\) | −9.08076 | − | 29.7984i | −0.615027 | − | 2.01820i | ||||
\(219\) | 26.2993 | + | 1.07361i | 1.77714 | + | 0.0725476i | ||||
\(220\) | −4.64001 | − | 2.53364i | −0.312829 | − | 0.170818i | ||||
\(221\) | 21.9830 | − | 7.19232i | 1.47874 | − | 0.483808i | ||||
\(222\) | −15.8834 | + | 20.3393i | −1.06602 | + | 1.36509i | ||||
\(223\) | 0.353322 | − | 0.247996i | 0.0236602 | − | 0.0166071i | −0.562614 | − | 0.826719i | \(-0.690204\pi\) |
0.586275 | + | 0.810112i | \(0.300594\pi\) | |||||||
\(224\) | 0.858732 | − | 0.223849i | 0.0573764 | − | 0.0149566i | ||||
\(225\) | −25.0491 | + | 0.511071i | −1.66994 | + | 0.0340714i | ||||
\(226\) | −1.61117 | − | 19.7009i | −0.107173 | − | 1.31048i | ||||
\(227\) | 4.55640 | + | 4.65031i | 0.302419 | + | 0.308652i | 0.848621 | − | 0.529001i | \(-0.177433\pi\) |
−0.546202 | + | 0.837654i | \(0.683927\pi\) | |||||||
\(228\) | −4.90675 | + | 1.33266i | −0.324957 | + | 0.0882573i | ||||
\(229\) | 14.7053 | + | 5.14560i | 0.971753 | + | 0.340031i | 0.769035 | − | 0.639206i | \(-0.220737\pi\) |
0.202717 | + | 0.979237i | \(0.435023\pi\) | |||||||
\(230\) | −23.2763 | + | 12.2348i | −1.53479 | + | 0.806738i | ||||
\(231\) | 0.838859i | 0.0551929i | ||||||||
\(232\) | 3.36245 | + | 8.92109i | 0.220756 | + | 0.585698i | ||||
\(233\) | −7.38868 | − | 4.74842i | −0.484049 | − | 0.311079i | 0.275759 | − | 0.961227i | \(-0.411071\pi\) |
−0.759808 | + | 0.650148i | \(0.774707\pi\) | |||||||
\(234\) | 21.9208 | + | 49.3252i | 1.43301 | + | 3.22449i | ||||
\(235\) | 16.4630 | + | 15.8046i | 1.07393 | + | 1.03098i | ||||
\(236\) | −11.3656 | − | 3.59066i | −0.739841 | − | 0.233732i | ||||
\(237\) | −20.8796 | + | 37.3278i | −1.35628 | + | 2.42470i | ||||
\(238\) | 0.763574 | − | 0.779312i | 0.0494952 | − | 0.0505153i | ||||
\(239\) | −8.88867 | − | 7.39008i | −0.574960 | − | 0.478024i | 0.305469 | − | 0.952202i | \(-0.401187\pi\) |
−0.880429 | + | 0.474178i | \(0.842745\pi\) | |||||||
\(240\) | 41.1968 | − | 17.3110i | 2.65924 | − | 1.11742i | ||||
\(241\) | −1.32833 | − | 7.15343i | −0.0855650 | − | 0.460793i | −0.998599 | − | 0.0529101i | \(-0.983150\pi\) |
0.913034 | − | 0.407883i | \(-0.133733\pi\) | |||||||
\(242\) | 5.13556 | − | 12.9555i | 0.330127 | − | 0.832812i | ||||
\(243\) | 2.61102 | + | 14.9066i | 0.167497 | + | 0.956259i | ||||
\(244\) | −2.95588 | + | 7.92501i | −0.189231 | + | 0.507347i | ||||
\(245\) | 20.9918 | + | 7.10585i | 1.34111 | + | 0.453976i | ||||
\(246\) | −15.1489 | + | 13.3995i | −0.965855 | + | 0.854322i | ||||
\(247\) | −10.8455 | − | 4.81990i | −0.690084 | − | 0.306683i | ||||
\(248\) | 7.71523 | − | 1.92734i | 0.489918 | − | 0.122386i | ||||
\(249\) | 14.5120 | + | 19.3857i | 0.919658 | + | 1.22852i | ||||
\(250\) | 0.385677 | − | 0.473631i | 0.0243923 | − | 0.0299550i | ||||
\(251\) | 12.0605 | + | 6.90856i | 0.761252 | + | 0.436065i | 0.827306 | − | 0.561751i | \(-0.189872\pi\) |
−0.0660543 | + | 0.997816i | \(0.521041\pi\) | |||||||
\(252\) | 0.651629 | + | 0.519656i | 0.0410487 | + | 0.0327353i | ||||
\(253\) | 4.66840 | + | 6.73176i | 0.293500 | + | 0.423222i | ||||
\(254\) | −3.22050 | − | 6.68743i | −0.202072 | − | 0.419607i | ||||
\(255\) | 19.1353 | − | 26.1128i | 1.19830 | − | 1.63525i | ||||
\(256\) | −13.3746 | + | 13.1045i | −0.835910 | + | 0.819029i | ||||
\(257\) | 12.0197 | − | 17.8898i | 0.749766 | − | 1.11593i | −0.239655 | − | 0.970858i | \(-0.577034\pi\) |
0.989421 | − | 0.145075i | \(-0.0463423\pi\) | |||||||
\(258\) | 12.2895 | − | 12.8014i | 0.765110 | − | 0.796981i | ||||
\(259\) | −0.709128 | + | 0.601910i | −0.0440631 | + | 0.0374009i | ||||
\(260\) | −18.9644 | − | 5.56844i | −1.17612 | − | 0.345340i | ||||
\(261\) | −14.1943 | + | 22.2549i | −0.878604 | + | 1.37755i | ||||
\(262\) | −1.02719 | − | 2.24922i | −0.0634597 | − | 0.138957i | ||||
\(263\) | 10.9328 | + | 9.67032i | 0.674145 | + | 0.596297i | 0.928732 | − | 0.370753i | \(-0.120900\pi\) |
−0.254586 | + | 0.967050i | \(0.581939\pi\) | |||||||
\(264\) | −4.22529 | − | 7.37622i | −0.260049 | − | 0.453975i | ||||
\(265\) | −5.70224 | − | 13.1919i | −0.350286 | − | 0.810369i | ||||
\(266\) | −0.558788 | + | 0.0342405i | −0.0342615 | + | 0.00209942i | ||||
\(267\) | −25.2920 | + | 19.3390i | −1.54784 | + | 1.18353i | ||||
\(268\) | 6.99175 | + | 4.29436i | 0.427089 | + | 0.262320i | ||||
\(269\) | 0.818562 | − | 4.67326i | 0.0499086 | − | 0.284934i | −0.949692 | − | 0.313185i | \(-0.898604\pi\) |
0.999601 | + | 0.0282510i | \(0.00899376\pi\) | |||||||
\(270\) | 25.2829 | + | 14.8272i | 1.53867 | + | 0.902358i | ||||
\(271\) | −2.55656 | + | 27.7711i | −0.155300 | + | 1.68697i | 0.451621 | + | 0.892210i | \(0.350846\pi\) |
−0.606921 | + | 0.794762i | \(0.707596\pi\) | |||||||
\(272\) | −4.56724 | + | 17.5209i | −0.276930 | + | 1.06236i | ||||
\(273\) | 0.666646 | + | 3.06452i | 0.0403473 | + | 0.185473i | ||||
\(274\) | −6.62622 | + | 35.6842i | −0.400305 | + | 2.15576i | ||||
\(275\) | −7.39287 | − | 4.64525i | −0.445807 | − | 0.280119i | ||||
\(276\) | 13.0917 | + | 0.876570i | 0.788030 | + | 0.0527633i | ||||
\(277\) | 16.4779 | + | 20.6626i | 0.990059 | + | 1.24149i | 0.970354 | + | 0.241688i | \(0.0777012\pi\) |
0.0197047 | + | 0.999806i | \(0.493727\pi\) | |||||||
\(278\) | −0.431087 | + | 6.02738i | −0.0258549 | + | 0.361498i | ||||
\(279\) | 17.0733 | + | 13.9027i | 1.02215 | + | 0.832334i | ||||
\(280\) | 0.965074 | − | 0.189408i | 0.0576742 | − | 0.0113193i | ||||
\(281\) | −8.99650 | + | 4.56085i | −0.536686 | + | 0.272078i | −0.699566 | − | 0.714568i | \(-0.746623\pi\) |
0.162879 | + | 0.986646i | \(0.447922\pi\) | |||||||
\(282\) | −8.77480 | − | 33.6619i | −0.522532 | − | 2.00454i | ||||
\(283\) | −7.26187 | + | 1.19577i | −0.431673 | + | 0.0710811i | −0.374378 | − | 0.927276i | \(-0.622144\pi\) |
−0.0572953 | + | 0.998357i | \(0.518248\pi\) | |||||||
\(284\) | −3.89239 | − | 3.81379i | −0.230971 | − | 0.226307i | ||||
\(285\) | −16.2670 | + | 3.36528i | −0.963575 | + | 0.199342i | ||||
\(286\) | −3.05623 | + | 18.5604i | −0.180719 | + | 1.09750i | ||||
\(287\) | −0.632529 | + | 0.362329i | −0.0373370 | + | 0.0213876i | ||||
\(288\) | −24.6079 | − | 3.79465i | −1.45003 | − | 0.223602i | ||||
\(289\) | −1.09386 | − | 3.72533i | −0.0643444 | − | 0.219137i | ||||
\(290\) | −8.70460 | − | 28.2151i | −0.511152 | − | 1.65685i | ||||
\(291\) | −12.1174 | − | 18.8551i | −0.710337 | − | 1.10531i | ||||
\(292\) | 8.77024 | − | 2.47829i | 0.513239 | − | 0.145031i | ||||
\(293\) | −9.92277 | − | 1.94747i | −0.579695 | − | 0.113772i | −0.105852 | − | 0.994382i | \(-0.533757\pi\) |
−0.473843 | + | 0.880609i | \(0.657134\pi\) | |||||||
\(294\) | −21.5968 | − | 25.9763i | −1.25955 | − | 1.51497i | ||||
\(295\) | −36.3455 | − | 13.9801i | −2.11612 | − | 0.813952i | ||||
\(296\) | 3.20369 | − | 8.86453i | 0.186211 | − | 0.515240i | ||||
\(297\) | 3.62297 | − | 8.38157i | 0.210226 | − | 0.486348i | ||||
\(298\) | 27.1553 | − | 3.05967i | 1.57307 | − | 0.177242i | ||||
\(299\) | 22.4044 | + | 20.8825i | 1.29568 | + | 1.20767i | ||||
\(300\) | −13.1997 | + | 4.61876i | −0.762083 | + | 0.266664i | ||||
\(301\) | 0.527239 | − | 0.362097i | 0.0303895 | − | 0.0208709i | ||||
\(302\) | −19.5059 | + | 4.24324i | −1.12244 | + | 0.244171i | ||||
\(303\) | −0.933341 | − | 1.59150i | −0.0536190 | − | 0.0914294i | ||||
\(304\) | 7.76425 | − | 5.10243i | 0.445310 | − | 0.292644i | ||||
\(305\) | −11.2226 | + | 25.2525i | −0.642603 | + | 1.44596i | ||||
\(306\) | −28.3408 | + | 11.5702i | −1.62013 | + | 0.661422i | ||||
\(307\) | −19.0121 | − | 4.13584i | −1.08508 | − | 0.236045i | −0.365750 | − | 0.930713i | \(-0.619187\pi\) |
−0.719330 | + | 0.694669i | \(0.755551\pi\) | |||||||
\(308\) | 0.0903182 | + | 0.276054i | 0.00514636 | + | 0.0157296i | ||||
\(309\) | 19.9233 | − | 14.2897i | 1.13340 | − | 0.812912i | ||||
\(310\) | −24.2155 | + | 4.49660i | −1.37535 | + | 0.255390i | ||||
\(311\) | 11.8863 | − | 17.3072i | 0.674007 | − | 0.981402i | −0.325351 | − | 0.945593i | \(-0.605483\pi\) |
0.999359 | − | 0.0358084i | \(-0.0114006\pi\) | |||||||
\(312\) | −21.2978 | − | 23.5890i | −1.20575 | − | 1.33546i | ||||
\(313\) | −1.52068 | − | 1.98878i | −0.0859539 | − | 0.112413i | 0.749419 | − | 0.662096i | \(-0.230333\pi\) |
−0.835373 | + | 0.549683i | \(0.814748\pi\) | |||||||
\(314\) | −5.83236 | + | 2.10785i | −0.329139 | + | 0.118953i | ||||
\(315\) | 2.02110 | + | 1.82479i | 0.113876 | + | 0.102815i | ||||
\(316\) | −2.85209 | + | 14.5320i | −0.160442 | + | 0.817488i | ||||
\(317\) | 18.2028 | − | 2.42794i | 1.02237 | − | 0.136366i | 0.397913 | − | 0.917423i | \(-0.369735\pi\) |
0.624460 | + | 0.781057i | \(0.285319\pi\) | |||||||
\(318\) | −3.11764 | + | 21.6836i | −0.174828 | + | 1.21596i | ||||
\(319\) | −8.39313 | + | 3.76471i | −0.469925 | + | 0.210783i | ||||
\(320\) | −2.97893 | + | 2.58126i | −0.166527 | + | 0.144297i | ||||
\(321\) | −6.71137 | − | 10.6811i | −0.374592 | − | 0.596160i | ||||
\(322\) | 1.39204 | + | 0.386542i | 0.0775755 | + | 0.0215411i | ||||
\(323\) | 2.92039 | − | 6.06425i | 0.162495 | − | 0.337424i | ||||
\(324\) | −0.147041 | − | 0.275940i | −0.00816895 | − | 0.0153300i | ||||
\(325\) | −30.6993 | − | 11.0949i | −1.70289 | − | 0.615433i | ||||
\(326\) | −10.3345 | − | 32.7123i | −0.572377 | − | 1.81177i | ||||
\(327\) | −15.7912 | + | 48.2652i | −0.873258 | + | 2.66907i | ||||
\(328\) | 3.73689 | − | 6.37203i | 0.206335 | − | 0.351836i | ||||
\(329\) | −0.0639169 | − | 1.25219i | −0.00352386 | − | 0.0690354i | ||||
\(330\) | 11.6646 | + | 23.6028i | 0.642114 | + | 1.29929i | ||||
\(331\) | 7.66454 | + | 2.85873i | 0.421281 | + | 0.157130i | 0.551159 | − | 0.834400i | \(-0.314186\pi\) |
−0.129878 | + | 0.991530i | \(0.541459\pi\) | |||||||
\(332\) | 6.86284 | + | 4.81701i | 0.376647 | + | 0.264368i | ||||
\(333\) | 24.9637 | − | 7.60742i | 1.36800 | − | 0.416884i | ||||
\(334\) | 9.74941 | − | 2.97103i | 0.533464 | − | 0.162568i | ||||
\(335\) | 21.9417 | + | 15.4009i | 1.19880 | + | 0.841439i | ||||
\(336\) | −2.30029 | − | 0.857962i | −0.125491 | − | 0.0468057i | ||||
\(337\) | −9.51596 | − | 19.2552i | −0.518367 | − | 1.04890i | −0.986274 | − | 0.165118i | \(-0.947199\pi\) |
0.467907 | − | 0.883778i | \(-0.345008\pi\) | |||||||
\(338\) | 2.44228 | + | 47.8465i | 0.132843 | + | 2.60251i | ||||
\(339\) | −16.3012 | + | 27.7962i | −0.885357 | + | 1.50968i | ||||
\(340\) | 3.48558 | − | 10.6535i | 0.189032 | − | 0.577768i | ||||
\(341\) | 2.31144 | + | 7.31651i | 0.125172 | + | 0.396211i | ||||
\(342\) | 14.7723 | + | 5.33879i | 0.798795 | + | 0.288689i | ||||
\(343\) | −1.14770 | − | 2.15379i | −0.0619699 | − | 0.116294i | ||||
\(344\) | −2.81223 | + | 5.83965i | −0.151625 | + | 0.314853i | ||||
\(345\) | 42.5165 | + | 5.47446i | 2.28901 | + | 0.294735i | ||||
\(346\) | 21.9023 | + | 34.8574i | 1.17748 | + | 1.87394i | ||||
\(347\) | 18.8604 | − | 16.3426i | 1.01248 | − | 0.877319i | 0.0200089 | − | 0.999800i | \(-0.493631\pi\) |
0.992471 | + | 0.122481i | \(0.0390851\pi\) | |||||||
\(348\) | −3.66729 | + | 14.2697i | −0.196587 | + | 0.764937i | ||||
\(349\) | 2.76785 | − | 19.2509i | 0.148160 | − | 1.03047i | −0.771069 | − | 0.636751i | \(-0.780278\pi\) |
0.919229 | − | 0.393723i | \(-0.128813\pi\) | |||||||
\(350\) | −1.52626 | + | 0.203576i | −0.0815819 | + | 0.0108816i | ||||
\(351\) | 6.57456 | − | 33.4988i | 0.350924 | − | 1.78803i | ||||
\(352\) | −6.44032 | − | 5.81477i | −0.343270 | − | 0.309928i | ||||
\(353\) | −10.7785 | + | 3.89543i | −0.573684 | + | 0.207333i | −0.610536 | − | 0.791988i | \(-0.709046\pi\) |
0.0368522 | + | 0.999321i | \(0.488267\pi\) | |||||||
\(354\) | 36.0552 | + | 47.1538i | 1.91631 | + | 2.50620i | ||||
\(355\) | −11.9309 | − | 13.2144i | −0.633225 | − | 0.701347i | ||||
\(356\) | −6.24094 | + | 9.08724i | −0.330769 | + | 0.481623i | ||||
\(357\) | −1.74872 | + | 0.324721i | −0.0925520 | + | 0.0171861i | ||||
\(358\) | 1.82879 | − | 1.31167i | 0.0966546 | − | 0.0693239i | ||||
\(359\) | 3.23262 | + | 9.88035i | 0.170611 | + | 0.521465i | 0.999267 | − | 0.0382940i | \(-0.0121923\pi\) |
−0.828655 | + | 0.559759i | \(0.810894\pi\) | |||||||
\(360\) | −26.9632 | − | 5.86549i | −1.42109 | − | 0.309138i | ||||
\(361\) | 14.3930 | − | 5.87598i | 0.757529 | − | 0.309262i | ||||
\(362\) | −7.81364 | + | 17.5819i | −0.410676 | + | 0.924084i | ||||
\(363\) | −18.9860 | + | 12.4770i | −0.996507 | + | 0.654874i | ||||
\(364\) | 0.549332 | + | 0.936703i | 0.0287928 | + | 0.0490966i | ||||
\(365\) | 29.0946 | − | 6.32915i | 1.52288 | − | 0.331283i | ||||
\(366\) | 34.7225 | − | 23.8468i | 1.81498 | − | 1.24649i | ||||
\(367\) | −26.4384 | + | 9.25120i | −1.38007 | + | 0.482909i | −0.915390 | − | 0.402568i | \(-0.868118\pi\) |
−0.464683 | + | 0.885477i | \(0.653832\pi\) | |||||||
\(368\) | −23.2343 | + | 5.91643i | −1.21117 | + | 0.308415i | ||||
\(369\) | 20.3238 | − | 2.28994i | 1.05802 | − | 0.119210i | ||||
\(370\) | −11.5829 | + | 26.7965i | −0.602165 | + | 1.39308i | ||||
\(371\) | −0.268370 | + | 0.742572i | −0.0139331 | + | 0.0385524i | ||||
\(372\) | 11.4703 | + | 4.41197i | 0.594705 | + | 0.228750i | ||||
\(373\) | −23.1139 | − | 27.8010i | −1.19679 | − | 1.43948i | −0.869057 | − | 0.494713i | \(-0.835273\pi\) |
−0.327734 | − | 0.944770i | \(-0.606285\pi\) | |||||||
\(374\) | −10.4681 | − | 2.05450i | −0.541292 | − | 0.106235i | ||||
\(375\) | −0.958196 | + | 0.270767i | −0.0494810 | + | 0.0139823i | ||||
\(376\) | 6.86925 | + | 10.6888i | 0.354254 | + | 0.551230i | ||||
\(377\) | −27.6700 | + | 20.4233i | −1.42508 | + | 1.05185i | ||||
\(378\) | −0.453675 | − | 1.54508i | −0.0233345 | − | 0.0794702i | ||||
\(379\) | 21.9159 | + | 3.37953i | 1.12574 | + | 0.173595i | 0.688143 | − | 0.725575i | \(-0.258426\pi\) |
0.437600 | + | 0.899170i | \(0.355829\pi\) | |||||||
\(380\) | −4.99085 | + | 2.85889i | −0.256025 | + | 0.146658i | ||||
\(381\) | −1.96598 | + | 11.9393i | −0.100720 | + | 0.611670i | ||||
\(382\) | −32.5882 | + | 6.74176i | −1.66736 | + | 0.344938i | ||||
\(383\) | −7.38356 | − | 7.23445i | −0.377282 | − | 0.369663i | 0.486369 | − | 0.873754i | \(-0.338321\pi\) |
−0.863651 | + | 0.504091i | \(0.831828\pi\) | |||||||
\(384\) | 34.1068 | − | 5.61616i | 1.74050 | − | 0.286599i | ||||
\(385\) | 0.239363 | + | 0.918248i | 0.0121991 | + | 0.0467982i | ||||
\(386\) | −13.2539 | + | 6.71918i | −0.674606 | + | 0.341997i | ||||
\(387\) | −17.6096 | + | 3.45610i | −0.895145 | + | 0.175684i | ||||
\(388\) | −6.01773 | − | 4.90022i | −0.305504 | − | 0.248771i | ||||
\(389\) | 1.67205 | − | 23.3784i | 0.0847765 | − | 1.18533i | −0.759895 | − | 0.650046i | \(-0.774750\pi\) |
0.844672 | − | 0.535285i | \(-0.179796\pi\) | |||||||
\(390\) | 61.3703 | + | 76.9560i | 3.10761 | + | 3.89682i | ||||
\(391\) | −12.2262 | + | 12.3378i | −0.618304 | + | 0.623948i | ||||
\(392\) | 10.4473 | + | 6.56450i | 0.527671 | + | 0.331557i | ||||
\(393\) | −0.735928 | + | 3.96319i | −0.0371227 | + | 0.199917i | ||||
\(394\) | 2.31357 | + | 10.6353i | 0.116556 | + | 0.535799i | ||||
\(395\) | −12.2043 | + | 46.8184i | −0.614067 | + | 2.35569i | ||||
\(396\) | 0.747053 | − | 8.11498i | 0.0375408 | − | 0.407793i | ||||
\(397\) | −19.2588 | − | 11.2944i | −0.966570 | − | 0.566848i | −0.0642589 | − | 0.997933i | \(-0.520468\pi\) |
−0.902311 | + | 0.431086i | \(0.858131\pi\) | |||||||
\(398\) | 2.84251 | − | 16.2282i | 0.142482 | − | 0.813447i | ||||
\(399\) | 0.777669 | + | 0.477648i | 0.0389322 | + | 0.0239123i | ||||
\(400\) | 20.2992 | − | 15.5214i | 1.01496 | − | 0.776070i | ||||
\(401\) | −24.1821 | + | 1.48179i | −1.20759 | + | 0.0739970i | −0.652499 | − | 0.757789i | \(-0.726279\pi\) |
−0.555096 | + | 0.831787i | \(0.687318\pi\) | |||||||
\(402\) | −16.2131 | − | 37.5083i | −0.808637 | − | 1.87074i | ||||
\(403\) | 14.2586 | + | 24.8918i | 0.710274 | + | 1.23995i | ||||
\(404\) | −0.478500 | − | 0.423244i | −0.0238062 | − | 0.0210572i | ||||
\(405\) | −0.424357 | − | 0.929213i | −0.0210865 | − | 0.0461729i | ||||
\(406\) | −0.713723 | + | 1.45681i | −0.0354215 | + | 0.0723000i | ||||
\(407\) | 8.72615 | + | 2.56223i | 0.432539 | + | 0.127005i | ||||
\(408\) | 13.7412 | − | 11.6635i | 0.680289 | − | 0.577431i | ||||
\(409\) | 9.60971 | − | 10.0100i | 0.475170 | − | 0.494963i | −0.440019 | − | 0.897988i | \(-0.645028\pi\) |
0.915189 | + | 0.403025i | \(0.132041\pi\) | |||||||
\(410\) | −12.7591 | + | 18.9903i | −0.630125 | + | 0.937862i | ||||
\(411\) | 42.2617 | − | 41.4082i | 2.08461 | − | 2.04252i | ||||
\(412\) | 5.01787 | − | 6.84759i | 0.247213 | − | 0.337356i | ||||
\(413\) | 0.928279 | + | 1.92759i | 0.0456776 | + | 0.0948505i | ||||
\(414\) | −31.5478 | − | 25.4518i | −1.55049 | − | 1.25089i | ||||
\(415\) | 21.4169 | + | 17.0794i | 1.05132 | + | 0.838397i | ||||
\(416\) | −28.1488 | − | 16.1244i | −1.38011 | − | 0.790562i | ||||
\(417\) | 6.22018 | − | 7.63870i | 0.304603 | − | 0.374069i | ||||
\(418\) | 3.28037 | + | 4.38206i | 0.160448 | + | 0.214333i | ||||
\(419\) | 32.4918 | − | 8.11677i | 1.58733 | − | 0.396530i | 0.654272 | − | 0.756259i | \(-0.272975\pi\) |
0.933057 | + | 0.359729i | \(0.117131\pi\) | |||||||
\(420\) | 1.38890 | + | 0.617246i | 0.0677713 | + | 0.0301185i | ||||
\(421\) | −17.6597 | + | 15.6204i | −0.860681 | + | 0.761292i | −0.972615 | − | 0.232424i | \(-0.925334\pi\) |
0.111934 | + | 0.993716i | \(0.464295\pi\) | |||||||
\(422\) | −4.36926 | − | 1.47902i | −0.212692 | − | 0.0719976i | ||||
\(423\) | −12.2937 | + | 32.9606i | −0.597739 | + | 1.60260i | ||||
\(424\) | −1.38048 | − | 7.88132i | −0.0670421 | − | 0.382751i | ||||
\(425\) | 6.82190 | − | 17.2096i | 0.330911 | − | 0.834790i | ||||
\(426\) | 4.95459 | + | 26.6820i | 0.240051 | + | 1.29275i | ||||
\(427\) | 1.39968 | − | 0.588146i | 0.0677351 | − | 0.0284624i | ||||
\(428\) | −3.35860 | − | 2.79235i | −0.162344 | − | 0.134973i | ||||
\(429\) | 21.4608 | − | 21.9031i | 1.03614 | − | 1.05749i | ||||
\(430\) | 9.79975 | − | 17.5197i | 0.472586 | − | 0.844873i | ||||
\(431\) | −28.5348 | − | 9.01476i | −1.37447 | − | 0.434226i | −0.478403 | − | 0.878141i | \(-0.658784\pi\) |
−0.896069 | + | 0.443915i | \(0.853589\pi\) | |||||||
\(432\) | 19.2781 | + | 18.5072i | 0.927519 | + | 0.890428i | ||||
\(433\) | −4.46158 | − | 10.0392i | −0.214410 | − | 0.482455i | 0.774203 | − | 0.632938i | \(-0.218151\pi\) |
−0.988613 | + | 0.150482i | \(0.951917\pi\) | |||||||
\(434\) | 1.13835 | + | 0.731572i | 0.0546424 | + | 0.0351166i | ||||
\(435\) | −14.8103 | + | 45.8002i | −0.710099 | + | 2.19595i | ||||
\(436\) | 17.5834i | 0.842093i | ||||||||
\(437\) | 8.89892 | − | 0.494786i | 0.425693 | − | 0.0236688i | ||||
\(438\) | −42.8395 | − | 14.9902i | −2.04695 | − | 0.716258i | ||||
\(439\) | 3.04325 | − | 0.826536i | 0.145246 | − | 0.0394484i | −0.188735 | − | 0.982028i | \(-0.560439\pi\) |
0.333982 | + | 0.942580i | \(0.391608\pi\) | |||||||
\(440\) | −6.72993 | − | 6.86864i | −0.320837 | − | 0.327450i | ||||
\(441\) | 2.78452 | + | 34.0483i | 0.132596 | + | 1.62135i | ||||
\(442\) | −39.8748 | + | 0.813556i | −1.89665 | + | 0.0386969i | ||||
\(443\) | 13.4027 | − | 3.49374i | 0.636781 | − | 0.165992i | 0.0801909 | − | 0.996780i | \(-0.474447\pi\) |
0.556590 | + | 0.830787i | \(0.312109\pi\) | |||||||
\(444\) | 11.9227 | − | 8.36850i | 0.565825 | − | 0.397151i | ||||
\(445\) | −22.1673 | + | 28.3861i | −1.05083 | + | 1.34563i | ||||
\(446\) | −0.707438 | + | 0.231457i | −0.0334982 | + | 0.0109598i | ||||
\(447\) | −39.0994 | − | 21.3499i | −1.84934 | − | 1.00981i | ||||
\(448\) | 0.216378 | + | 0.00883312i | 0.0102229 | + | 0.000417326i | ||||
\(449\) | −0.824658 | − | 2.70611i | −0.0389180 | − | 0.127709i | 0.934977 | − | 0.354709i | \(-0.115420\pi\) |
−0.973895 | + | 0.227000i | \(0.927108\pi\) | |||||||
\(450\) | 41.5738 | + | 11.7479i | 1.95981 | + | 0.553802i | ||||
\(451\) | 6.35718 | + | 3.22283i | 0.299348 | + | 0.151757i | ||||
\(452\) | −2.37166 | + | 10.9023i | −0.111553 | + | 0.512803i | ||||
\(453\) | 30.0010 | + | 12.6065i | 1.40957 | + | 0.592304i | ||||
\(454\) | −5.17803 | − | 9.96067i | −0.243017 | − | 0.467477i | ||||
\(455\) | 1.60418 | + | 3.16432i | 0.0752051 | + | 0.148346i | ||||
\(456\) | −9.24406 | − | 0.282956i | −0.432893 | − | 0.0132506i | ||||
\(457\) | 0.533124 | + | 0.0655821i | 0.0249385 | + | 0.00306780i | 0.134554 | − | 0.990906i | \(-0.457040\pi\) |
−0.109615 | + | 0.993974i | \(0.534962\pi\) | |||||||
\(458\) | −21.6690 | − | 15.8789i | −1.01253 | − | 0.741974i | ||||
\(459\) | 18.8750 | + | 4.30809i | 0.881009 | + | 0.201085i | ||||
\(460\) | 14.5809 | − | 2.77612i | 0.679836 | − | 0.129437i | ||||
\(461\) | 12.7872 | − | 36.5436i | 0.595557 | − | 1.70200i | −0.110524 | − | 0.993873i | \(-0.535253\pi\) |
0.706081 | − | 0.708131i | \(-0.250461\pi\) | |||||||
\(462\) | 0.421651 | − | 1.38365i | 0.0196170 | − | 0.0643730i | ||||
\(463\) | 1.55874 | − | 2.42544i | 0.0724406 | − | 0.112720i | −0.803143 | − | 0.595786i | \(-0.796841\pi\) |
0.875584 | + | 0.483066i | \(0.160477\pi\) | |||||||
\(464\) | −1.73916 | − | 26.8658i | −0.0807385 | − | 1.24721i | ||||
\(465\) | 36.5225 | + | 16.6793i | 1.69369 | + | 0.773483i | ||||
\(466\) | 9.80038 | + | 11.5461i | 0.453994 | + | 0.534864i | ||||
\(467\) | 22.2670 | − | 31.0457i | 1.03040 | − | 1.43663i | 0.135272 | − | 0.990809i | \(-0.456809\pi\) |
0.895124 | − | 0.445817i | \(-0.147087\pi\) | |||||||
\(468\) | −3.71988 | − | 30.2394i | −0.171952 | − | 1.39781i | ||||
\(469\) | −0.298371 | − | 1.44226i | −0.0137775 | − | 0.0665975i | ||||
\(470\) | −19.2105 | − | 34.3438i | −0.886113 | − | 1.58416i | ||||
\(471\) | 9.75633 | + | 2.64979i | 0.449548 | + | 0.122096i | ||||
\(472\) | −17.8717 | − | 12.2739i | −0.822611 | − | 0.564953i | ||||
\(473\) | −5.78990 | − | 2.36373i | −0.266220 | − | 0.108685i | ||||
\(474\) | 53.2023 | − | 51.0748i | 2.44366 | − | 2.34594i | ||||
\(475\) | −8.51592 | + | 4.20859i | −0.390737 | + | 0.193103i | ||||
\(476\) | −0.540510 | + | 0.295141i | −0.0247742 | + | 0.0135278i | ||||
\(477\) | 15.1782 | − | 16.1367i | 0.694962 | − | 0.738850i | ||||
\(478\) | 10.9467 | + | 16.6573i | 0.500690 | + | 0.761889i | ||||
\(479\) | −9.00087 | − | 7.63996i | −0.411260 | − | 0.349079i | 0.417506 | − | 0.908674i | \(-0.362904\pi\) |
−0.828766 | + | 0.559596i | \(0.810956\pi\) | |||||||
\(480\) | −45.1685 | + | 4.62323i | −2.06165 | + | 0.211020i | ||||
\(481\) | 33.9146 | + | 2.42562i | 1.54637 | + | 0.110599i | ||||
\(482\) | −1.40467 | + | 12.4668i | −0.0639811 | + | 0.567848i | ||||
\(483\) | −1.49541 | − | 1.81949i | −0.0680435 | − | 0.0827898i | ||||
\(484\) | −4.90458 | + | 6.15015i | −0.222936 | + | 0.279552i | ||||
\(485\) | −18.6444 | − | 17.1819i | −0.846600 | − | 0.780190i | ||||
\(486\) | 3.18607 | − | 25.8999i | 0.144523 | − | 1.17484i | ||||
\(487\) | −21.6912 | + | 1.77393i | −0.982920 | + | 0.0803846i | −0.562371 | − | 0.826885i | \(-0.690111\pi\) |
−0.420549 | + | 0.907270i | \(0.638163\pi\) | |||||||
\(488\) | −9.34512 | + | 12.2218i | −0.423034 | + | 0.553253i | ||||
\(489\) | −16.8473 | + | 53.3275i | −0.761862 | + | 2.41155i | ||||
\(490\) | −31.0528 | − | 22.2721i | −1.40282 | − | 1.00615i | ||||
\(491\) | 1.14170 | + | 0.535535i | 0.0515240 | + | 0.0241684i | 0.450262 | − | 0.892897i | \(-0.351331\pi\) |
−0.398737 | + | 0.917065i | \(0.630552\pi\) | |||||||
\(492\) | 10.3842 | − | 4.74230i | 0.468155 | − | 0.213799i | ||||
\(493\) | −11.0970 | − | 16.0393i | −0.499785 | − | 0.722376i | ||||
\(494\) | 15.4663 | + | 13.4016i | 0.695861 | + | 0.602967i | ||||
\(495\) | 4.05765 | − | 26.3134i | 0.182378 | − | 1.18270i | ||||
\(496\) | −22.4271 | − | 1.14477i | −1.00701 | − | 0.0514018i | ||||
\(497\) | −0.0199525 | + | 0.977933i | −0.000894994 | + | 0.0438663i | ||||
\(498\) | −14.1924 | − | 39.2699i | −0.635975 | − | 1.75973i | ||||
\(499\) | 23.2020 | + | 1.42174i | 1.03867 | + | 0.0636456i | 0.571563 | − | 0.820558i | \(-0.306337\pi\) |
0.467102 | + | 0.884204i | \(0.345298\pi\) | |||||||
\(500\) | −0.286172 | + | 0.192272i | −0.0127980 | + | 0.00859865i | ||||
\(501\) | −15.7913 | − | 5.16656i | −0.705505 | − | 0.230825i | ||||
\(502\) | −16.4204 | − | 17.4574i | −0.732880 | − | 0.779163i | ||||
\(503\) | −4.89317 | + | 20.4735i | −0.218176 | + | 0.912868i | 0.749768 | + | 0.661701i | \(0.230165\pi\) |
−0.967944 | + | 0.251167i | \(0.919186\pi\) | |||||||
\(504\) | 0.858258 | + | 1.24968i | 0.0382299 | + | 0.0556653i | ||||
\(505\) | −1.47580 | − | 1.47580i | −0.0656721 | − | 0.0656721i | ||||
\(506\) | −4.31652 | − | 13.4502i | −0.191893 | − | 0.597933i | ||||
\(507\) | 41.5521 | − | 66.1298i | 1.84539 | − | 2.93693i | ||||
\(508\) | 0.638514 | + | 4.14069i | 0.0283295 | + | 0.183713i | ||||
\(509\) | −2.86715 | − | 28.0119i | −0.127084 | − | 1.24160i | −0.840869 | − | 0.541239i | \(-0.817955\pi\) |
0.713784 | − | 0.700365i | \(-0.246980\pi\) | |||||||
\(510\) | −44.6880 | + | 33.4531i | −1.97882 | + | 1.48133i | ||||
\(511\) | −1.40259 | − | 0.841894i | −0.0620468 | − | 0.0372432i | ||||
\(512\) | 6.82625 | − | 3.54860i | 0.301680 | − | 0.156828i | ||||
\(513\) | −5.70726 | − | 8.13118i | −0.251982 | − | 0.359000i | ||||
\(514\) | −28.8179 | + | 23.4664i | −1.27110 | + | 1.03506i | ||||
\(515\) | 17.7314 | − | 21.3271i | 0.781338 | − | 0.939782i | ||||
\(516\) | −8.74190 | + | 4.88984i | −0.384841 | + | 0.215263i | ||||
\(517\) | −9.88856 | + | 7.24628i | −0.434898 | + | 0.318691i | ||||
\(518\) | 1.47221 | − | 0.636370i | 0.0646853 | − | 0.0279605i | ||||
\(519\) | 3.42116 | − | 67.0236i | 0.150172 | − | 2.94201i | ||||
\(520\) | −30.0443 | − | 19.7442i | −1.31753 | − | 0.865841i | ||||
\(521\) | −28.2591 | + | 18.1610i | −1.23805 | + | 0.795650i | −0.985126 | − | 0.171835i | \(-0.945030\pi\) |
−0.252929 | + | 0.967485i | \(0.581394\pi\) | |||||||
\(522\) | 34.5990 | − | 29.5734i | 1.51436 | − | 1.29439i | ||||
\(523\) | −1.42952 | + | 0.205535i | −0.0625087 | + | 0.00898740i | −0.173498 | − | 0.984834i | \(-0.555507\pi\) |
0.110990 | + | 0.993822i | \(0.464598\pi\) | |||||||
\(524\) | 0.184528 | + | 1.38345i | 0.00806115 | + | 0.0604364i | ||||
\(525\) | 2.22717 | + | 1.15779i | 0.0972018 | + | 0.0505301i | ||||
\(526\) | −13.1722 | − | 21.4459i | −0.574335 | − | 0.935087i | ||||
\(527\) | −14.3575 | + | 7.65074i | −0.625424 | + | 0.333271i | ||||
\(528\) | 5.34158 | + | 23.4030i | 0.232462 | + | 1.01848i | ||||
\(529\) | −22.1263 | − | 6.27904i | −0.962014 | − | 0.273002i | ||||
\(530\) | 2.77461 | + | 24.6254i | 0.120521 | + | 1.06966i | ||||
\(531\) | −2.44843 | − | 59.9774i | −0.106253 | − | 2.60280i | ||||
\(532\) | 0.307344 | + | 0.0734554i | 0.0133251 | + | 0.00318470i | ||||
\(533\) | 25.7853 | + | 6.72155i | 1.11688 | + | 0.291143i | ||||
\(534\) | 51.4382 | − | 19.1855i | 2.22595 | − | 0.830236i | ||||
\(535\) | −10.3943 | − | 9.77688i | −0.449385 | − | 0.422691i | ||||
\(536\) | 9.88823 | + | 11.1792i | 0.427106 | + | 0.482866i | ||||
\(537\) | −3.66864 | + | 0.0374213i | −0.158313 | + | 0.00161485i | ||||
\(538\) | −3.69917 | + | 7.29680i | −0.159483 | + | 0.314587i | ||||
\(539\) | −5.70549 | + | 10.4488i | −0.245753 | + | 0.450063i | ||||
\(540\) | −11.2115 | − | 12.1658i | −0.482467 | − | 0.523534i | ||||
\(541\) | −27.0716 | − | 10.7312i | −1.16390 | − | 0.461370i | −0.294583 | − | 0.955626i | \(-0.595181\pi\) |
−0.869316 | + | 0.494256i | \(0.835441\pi\) | |||||||
\(542\) | 18.1760 | − | 44.5216i | 0.780725 | − | 1.91237i | ||||
\(543\) | 26.8923 | − | 16.1419i | 1.15406 | − | 0.692717i | ||||
\(544\) | 9.62866 | − | 15.6766i | 0.412825 | − | 0.672130i | ||||
\(545\) | −3.51352 | + | 57.3389i | −0.150503 | + | 2.45613i | ||||
\(546\) | 0.440787 | − | 5.38983i | 0.0188640 | − | 0.230663i | ||||
\(547\) | 16.9901 | − | 14.1257i | 0.726446 | − | 0.603970i | −0.200266 | − | 0.979742i | \(-0.564181\pi\) |
0.926712 | + | 0.375772i | \(0.122622\pi\) | |||||||
\(548\) | 9.44922 | − | 18.1769i | 0.403651 | − | 0.776480i | ||||
\(549\) | −42.5949 | − | 0.434482i | −1.81791 | − | 0.0185433i | ||||
\(550\) | 9.85915 | + | 11.3781i | 0.420395 | + | 0.485162i | ||||
\(551\) | −1.28897 | + | 9.92453i | −0.0549121 | + | 0.422799i | ||||
\(552\) | 22.3141 | + | 8.46680i | 0.949750 | + | 0.360371i | ||||
\(553\) | 2.25075 | − | 1.41424i | 0.0957115 | − | 0.0601395i | ||||
\(554\) | −16.7932 | − | 42.3642i | −0.713473 | − | 1.79988i | ||||
\(555\) | 40.5516 | − | 24.9070i | 1.72132 | − | 1.05724i | ||||
\(556\) | 1.22451 | − | 3.18347i | 0.0519306 | − | 0.135009i | ||||
\(557\) | −6.68691 | − | 1.38337i | −0.283334 | − | 0.0586153i | 0.0587896 | − | 0.998270i | \(-0.481276\pi\) |
−0.342123 | + | 0.939655i | \(0.611146\pi\) | |||||||
\(558\) | −21.1731 | − | 31.5135i | −0.896328 | − | 1.33407i | ||||
\(559\) | −23.0302 | − | 4.03393i | −0.974072 | − | 0.170617i | ||||
\(560\) | −2.76280 | − | 0.282786i | −0.116750 | − | 0.0119499i | ||||
\(561\) | 12.0436 | + | 12.5453i | 0.508481 | + | 0.529662i | ||||
\(562\) | 17.1317 | − | 3.00076i | 0.722656 | − | 0.126579i | ||||
\(563\) | 6.36898 | − | 0.455519i | 0.268421 | − | 0.0191978i | 0.0635199 | − | 0.997981i | \(-0.479767\pi\) |
0.204901 | + | 0.978783i | \(0.434313\pi\) | |||||||
\(564\) | −0.800903 | + | 19.6191i | −0.0337241 | + | 0.826115i | ||||
\(565\) | −9.91240 | + | 35.0782i | −0.417018 | + | 1.47575i | ||||
\(566\) | 12.5790 | + | 1.67782i | 0.528737 | + | 0.0705242i | ||||
\(567\) | −0.0179950 | + | 0.0531601i | −0.000755720 | + | 0.00223251i | ||||
\(568\) | −4.75035 | − | 8.69962i | −0.199320 | − | 0.365028i | ||||
\(569\) | −41.7351 | + | 1.27749i | −1.74963 | + | 0.0535552i | −0.889613 | − | 0.456715i | \(-0.849026\pi\) |
−0.860014 | + | 0.510270i | \(0.829545\pi\) | |||||||
\(570\) | 28.5230 | + | 2.62578i | 1.19470 | + | 0.109982i | ||||
\(571\) | −0.999602 | + | 0.940225i | −0.0418320 | + | 0.0393472i | −0.705775 | − | 0.708436i | \(-0.749401\pi\) |
0.663943 | + | 0.747783i | \(0.268882\pi\) | |||||||
\(572\) | 4.70410 | − | 9.51856i | 0.196688 | − | 0.397991i | ||||
\(573\) | 49.7970 | + | 21.5250i | 2.08030 | + | 0.899219i | ||||
\(574\) | 1.22544 | − | 0.279699i | 0.0511489 | − | 0.0116744i | ||||
\(575\) | 24.3161 | − | 3.10346i | 1.01405 | − | 0.129423i | ||||
\(576\) | −5.47431 | − | 2.63629i | −0.228096 | − | 0.109845i | ||||
\(577\) | 16.6649 | − | 6.60598i | 0.693770 | − | 0.275011i | 0.00499727 | − | 0.999988i | \(-0.498409\pi\) |
0.688773 | + | 0.724977i | \(0.258150\pi\) | |||||||
\(578\) | −0.0682863 | + | 6.69452i | −0.00284034 | + | 0.278455i | ||||
\(579\) | 23.9778 | + | 3.44749i | 0.996484 | + | 0.143273i | ||||
\(580\) | 0.0574190 | + | 16.6666i | 0.00238419 | + | 0.692044i | ||||
\(581\) | −0.214184 | − | 1.48968i | −0.00888586 | − | 0.0618025i | ||||
\(582\) | 10.5095 | + | 37.1912i | 0.435631 | + | 1.54162i | ||||
\(583\) | 7.50873 | − | 1.79459i | 0.310980 | − | 0.0743242i | ||||
\(584\) | 16.5737 | + | 0.338151i | 0.685827 | + | 0.0139928i | ||||
\(585\) | −6.08798 | − | 99.3527i | −0.251707 | − | 4.10773i | ||||
\(586\) | 15.3881 | + | 8.19990i | 0.635676 | + | 0.338735i | ||||
\(587\) | 1.60553 | − | 5.91143i | 0.0662671 | − | 0.243991i | −0.924165 | − | 0.381994i | \(-0.875237\pi\) |
0.990432 | + | 0.138003i | \(0.0440685\pi\) | |||||||
\(588\) | 7.38676 | + | 17.5791i | 0.304625 | + | 0.724949i | ||||
\(589\) | 8.09895 | + | 2.02320i | 0.333711 | + | 0.0833643i | ||||
\(590\) | 52.9225 | + | 41.3283i | 2.17878 | + | 1.70146i | ||||
\(591\) | 6.87351 | − | 16.3577i | 0.282739 | − | 0.672865i | ||||
\(592\) | −15.9509 | + | 21.3079i | −0.655578 | + | 0.875750i | ||||
\(593\) | 4.17159 | + | 16.6991i | 0.171307 | + | 0.685749i | 0.993231 | + | 0.116153i | \(0.0370562\pi\) |
−0.821925 | + | 0.569596i | \(0.807100\pi\) | |||||||
\(594\) | −10.1888 | + | 12.0038i | −0.418053 | + | 0.492521i | ||||
\(595\) | −1.82156 | + | 0.854439i | −0.0746766 | + | 0.0350286i | ||||
\(596\) | −15.1656 | − | 2.81611i | −0.621207 | − | 0.115352i | ||||
\(597\) | −18.9914 | + | 18.9914i | −0.777267 | + | 0.777267i | ||||
\(598\) | −26.4580 | − | 45.7059i | −1.08195 | − | 1.86905i | ||||
\(599\) | −12.1632 | − | 34.7604i | −0.496974 | − | 1.42027i | −0.870278 | − | 0.492561i | \(-0.836061\pi\) |
0.373303 | − | 0.927709i | \(-0.378225\pi\) | |||||||
\(600\) | −25.4156 | + | 1.03753i | −1.03759 | + | 0.0423570i | ||||
\(601\) | 12.8449 | + | 6.34800i | 0.523956 | + | 0.258941i | 0.685690 | − | 0.727894i | \(-0.259501\pi\) |
−0.161733 | + | 0.986834i | \(0.551708\pi\) | |||||||
\(602\) | −1.05165 | + | 0.332241i | −0.0428622 | + | 0.0135411i | ||||
\(603\) | −8.37146 | + | 40.4658i | −0.340912 | + | 1.64790i | ||||
\(604\) | 11.2301 | + | 0.918414i | 0.456947 | + | 0.0373698i | ||||
\(605\) | −17.2226 | + | 19.0754i | −0.700198 | + | 0.775525i | ||||
\(606\) | 0.739521 | + | 3.09423i | 0.0300410 | + | 0.125694i | ||||
\(607\) | −13.5683 | + | 20.6466i | −0.550720 | + | 0.838018i | −0.998422 | − | 0.0561648i | \(-0.982113\pi\) |
0.447702 | + | 0.894183i | \(0.352243\pi\) | |||||||
\(608\) | −9.05774 | + | 2.65959i | −0.367340 | + | 0.107861i | ||||
\(609\) | 2.31671 | − | 1.27540i | 0.0938779 | − | 0.0516818i | ||||
\(610\) | 31.2041 | − | 36.0114i | 1.26342 | − | 1.45806i | ||||
\(611\) | −30.3662 | + | 34.3306i | −1.22849 | + | 1.38887i | ||||
\(612\) | 17.2060 | − | 1.58396i | 0.695511 | − | 0.0640277i | ||||
\(613\) | −39.2713 | + | 4.83095i | −1.58615 | + | 0.195120i | −0.866487 | − | 0.499199i | \(-0.833628\pi\) |
−0.719667 | + | 0.694319i | \(0.755706\pi\) | |||||||
\(614\) | 29.2804 | + | 16.3782i | 1.18166 | + | 0.660971i | ||||
\(615\) | 34.8100 | − | 13.3895i | 1.40368 | − | 0.539916i | ||||
\(616\) | 0.0107769 | + | 0.528206i | 0.000434213 | + | 0.0212820i | ||||
\(617\) | −0.281922 | + | 9.21029i | −0.0113498 | + | 0.370792i | 0.976513 | + | 0.215460i | \(0.0691252\pi\) |
−0.987862 | + | 0.155332i | \(0.950355\pi\) | |||||||
\(618\) | −40.0450 | + | 13.5555i | −1.61085 | + | 0.545282i | ||||
\(619\) | 18.3954 | − | 32.1134i | 0.739373 | − | 1.29075i | −0.210341 | − | 0.977628i | \(-0.567457\pi\) |
0.949714 | − | 0.313119i | \(-0.101374\pi\) | |||||||
\(620\) | 13.8147 | + | 1.55655i | 0.554813 | + | 0.0625124i | ||||
\(621\) | 7.08332 | + | 24.6383i | 0.284244 | + | 0.988699i | ||||
\(622\) | −28.3051 | + | 22.5725i | −1.13493 | + | 0.905076i | ||||
\(623\) | 1.95563 | − | 0.301567i | 0.0783507 | − | 0.0120820i | ||||
\(624\) | 38.1123 | + | 81.2508i | 1.52571 | + | 3.25264i | ||||
\(625\) | 21.0740 | − | 12.3589i | 0.842959 | − | 0.494356i | ||||
\(626\) | 1.50861 | + | 4.04474i | 0.0602961 | + | 0.161660i | ||||
\(627\) | −0.273015 | − | 8.91930i | −0.0109032 | − | 0.356202i | ||||
\(628\) | 3.49593 | − | 0.178447i | 0.139503 | − | 0.00712080i | ||||
\(629\) | −1.96345 | + | 19.1827i | −0.0782877 | + | 0.764865i | ||||
\(630\) | −2.41645 | − | 4.02578i | −0.0962736 | − | 0.160391i | ||||
\(631\) | −23.5495 | + | 21.2621i | −0.937489 | + | 0.846430i | −0.988338 | − | 0.152276i | \(-0.951340\pi\) |
0.0508491 | + | 0.998706i | \(0.483807\pi\) | |||||||
\(632\) | −12.6677 | + | 23.7725i | −0.503896 | + | 0.945620i | ||||
\(633\) | 4.44479 | + | 6.06553i | 0.176665 | + | 0.241083i | ||||
\(634\) | −31.2448 | − | 5.14490i | −1.24089 | − | 0.204330i | ||||
\(635\) | 1.25478 | + | 13.6302i | 0.0497944 | + | 0.540899i | ||||
\(636\) | 5.25116 | − | 11.1948i | 0.208222 | − | 0.443904i | ||||
\(637\) | −12.5396 | + | 42.7059i | −0.496836 | + | 1.69207i | ||||
\(638\) | 15.7363 | − | 1.99085i | 0.623005 | − | 0.0788185i | ||||
\(639\) | 11.4005 | − | 24.9637i | 0.450999 | − | 0.987549i | ||||
\(640\) | 35.7321 | − | 15.8798i | 1.41243 | − | 0.627706i | ||||
\(641\) | 10.9060 | − | 8.51673i | 0.430762 | − | 0.336391i | −0.376675 | − | 0.926346i | \(-0.622932\pi\) |
0.807436 | + | 0.589955i | \(0.200855\pi\) | |||||||
\(642\) | 5.70115 | + | 20.9912i | 0.225006 | + | 0.828458i | ||||
\(643\) | −8.60717 | + | 37.7105i | −0.339434 | + | 1.48716i | 0.460819 | + | 0.887494i | \(0.347556\pi\) |
−0.800253 | + | 0.599662i | \(0.795302\pi\) | |||||||
\(644\) | −0.688014 | − | 0.437755i | −0.0271115 | − | 0.0172500i | ||||
\(645\) | −29.4841 | + | 14.1988i | −1.16094 | + | 0.559077i | ||||
\(646\) | −7.86518 | + | 8.53467i | −0.309452 | + | 0.335792i | ||||
\(647\) | −3.08063 | − | 9.10064i | −0.121112 | − | 0.357783i | 0.869601 | − | 0.493756i | \(-0.164376\pi\) |
−0.990713 | + | 0.135973i | \(0.956584\pi\) | |||||||
\(648\) | −0.109531 | − | 0.558085i | −0.00430280 | − | 0.0219236i | ||||
\(649\) | 10.7659 | − | 17.9358i | 0.422598 | − | 0.704044i | ||||
\(650\) | 45.0597 | + | 33.7312i | 1.76739 | + | 1.32305i | ||||
\(651\) | −0.833761 | − | 2.04227i | −0.0326777 | − | 0.0800430i | ||||
\(652\) | 0.197509 | + | 19.3630i | 0.00773506 | + | 0.758315i | ||||
\(653\) | −2.64429 | + | 19.8249i | −0.103479 | + | 0.775806i | 0.860429 | + | 0.509570i | \(0.170196\pi\) |
−0.963908 | + | 0.266236i | \(0.914220\pi\) | |||||||
\(654\) | 50.3071 | − | 71.6730i | 1.96716 | − | 2.80263i | ||||
\(655\) | 0.325298 | + | 4.54826i | 0.0127104 | + | 0.177715i | ||||
\(656\) | −15.3395 | + | 14.1362i | −0.598905 | + | 0.551925i | ||||
\(657\) | 26.7502 | + | 37.2964i | 1.04362 | + | 1.45507i | ||||
\(658\) | −0.523984 | + | 2.09754i | −0.0204270 | + | 0.0817704i | ||||
\(659\) | −8.48576 | − | 10.4210i | −0.330558 | − | 0.405943i | 0.583117 | − | 0.812388i | \(-0.301833\pi\) |
−0.913675 | + | 0.406446i | \(0.866768\pi\) | |||||||
\(660\) | −2.41452 | − | 14.6633i | −0.0939852 | − | 0.570769i | ||||
\(661\) | 7.79210 | + | 20.2579i | 0.303077 | + | 0.787942i | 0.997650 | + | 0.0685189i | \(0.0218274\pi\) |
−0.694572 | + | 0.719423i | \(0.744406\pi\) | |||||||
\(662\) | −11.2052 | − | 8.56786i | −0.435504 | − | 0.332999i | ||||
\(663\) | 53.9675 | + | 36.2594i | 2.09593 | + | 1.40820i | ||||
\(664\) | 9.38682 | + | 12.0202i | 0.364279 | + | 0.466474i | ||||
\(665\) | 0.987561 | + | 0.300949i | 0.0382960 | + | 0.0116703i | ||||
\(666\) | −44.9999 | −1.74371 | ||||||||
\(667\) | 11.4936 | − | 23.1279i | 0.445032 | − | 0.895515i | ||||
\(668\) | −5.75292 | −0.222587 | ||||||||
\(669\) | 1.16072 | + | 0.353717i | 0.0448760 | + | 0.0136755i | ||||
\(670\) | −28.4503 | − | 36.4317i | −1.09913 | − | 1.40748i | ||||
\(671\) | −12.3218 | − | 8.27868i | −0.475677 | − | 0.319595i | ||||
\(672\) | 1.98164 | + | 1.51522i | 0.0764434 | + | 0.0584509i | ||||
\(673\) | −15.9988 | − | 41.5938i | −0.616709 | − | 1.60332i | −0.786325 | − | 0.617813i | \(-0.788019\pi\) |
0.169616 | − | 0.985510i | \(-0.445747\pi\) | |||||||
\(674\) | 6.01738 | + | 36.5434i | 0.231781 | + | 1.40760i | ||||
\(675\) | −17.2527 | − | 21.1872i | −0.664056 | − | 0.815495i | ||||
\(676\) | 6.55399 | − | 26.2360i | 0.252077 | − | 1.00908i | ||||
\(677\) | −7.42515 | − | 10.3525i | −0.285372 | − | 0.397878i | 0.645185 | − | 0.764026i | \(-0.276780\pi\) |
−0.930557 | + | 0.366148i | \(0.880676\pi\) | |||||||
\(678\) | 40.8595 | − | 37.6543i | 1.56920 | − | 1.44611i | ||||
\(679\) | 0.0993734 | + | 1.38942i | 0.00381360 | + | 0.0533211i | ||||
\(680\) | 11.7135 | − | 16.6883i | 0.449192 | − | 0.639968i | ||||
\(681\) | −2.41958 | + | 18.1402i | −0.0927186 | + | 0.695134i | ||||
\(682\) | −0.134950 | − | 13.2300i | −0.00516750 | − | 0.506601i | ||||
\(683\) | −4.85267 | − | 11.8865i | −0.185682 | − | 0.454824i | 0.804614 | − | 0.593799i | \(-0.202372\pi\) |
−0.990296 | + | 0.138975i | \(0.955619\pi\) | |||||||
\(684\) | −7.09767 | − | 5.31325i | −0.271386 | − | 0.203157i | ||||
\(685\) | 34.4457 | − | 57.3862i | 1.31610 | − | 2.19261i | ||||
\(686\) | 0.810455 | + | 4.12944i | 0.0309433 | + | 0.157663i | ||||
\(687\) | 14.0419 | + | 41.4818i | 0.535730 | + | 1.58263i | ||||
\(688\) | 12.4035 | − | 13.4593i | 0.472879 | − | 0.513130i | ||||
\(689\) | 26.0047 | − | 12.5232i | 0.990701 | − | 0.477097i | ||||
\(690\) | −67.3766 | − | 30.4006i | −2.56498 | − | 1.15733i | ||||
\(691\) | −10.3756 | + | 45.4586i | −0.394708 | + | 1.72933i | 0.253025 | + | 0.967460i | \(0.418574\pi\) |
−0.647733 | + | 0.761867i | \(0.724283\pi\) | |||||||
\(692\) | −6.09045 | − | 22.4246i | −0.231524 | − | 0.852456i | ||||
\(693\) | −1.15287 | + | 0.900303i | −0.0437941 | + | 0.0341997i | ||||
\(694\) | −39.3237 | + | 17.4760i | −1.49271 | + | 0.663380i | ||||
\(695\) | 4.62919 | − | 10.1365i | 0.175595 | − | 0.384500i | ||||
\(696\) | −13.9471 | + | 22.8840i | −0.528663 | + | 0.867414i | ||||
\(697\) | −4.25758 | + | 14.5000i | −0.161267 | + | 0.549226i | ||||
\(698\) | −14.2418 | + | 30.3618i | −0.539061 | + | 1.14921i | ||||
\(699\) | −2.26324 | − | 24.5848i | −0.0856036 | − | 0.929882i | ||||
\(700\) | 0.857580 | + | 0.141213i | 0.0324135 | + | 0.00533734i | ||||
\(701\) | 7.05667 | + | 9.62980i | 0.266527 | + | 0.363713i | 0.919108 | − | 0.394006i | \(-0.128911\pi\) |
−0.652581 | + | 0.757719i | \(0.726314\pi\) | |||||||
\(702\) | −27.6824 | + | 51.9494i | −1.04481 | + | 1.96070i | ||||
\(703\) | 7.34402 | − | 6.63069i | 0.276985 | − | 0.250081i | ||||
\(704\) | −1.08973 | − | 1.81548i | −0.0410708 | − | 0.0684236i | ||||
\(705\) | −6.53201 | + | 63.8172i | −0.246010 | + | 2.40350i | ||||
\(706\) | 19.7366 | − | 1.00744i | 0.742795 | − | 0.0379154i | ||||
\(707\) | 0.00350822 | + | 0.114612i | 0.000131940 | + | 0.00431044i | ||||
\(708\) | −11.7088 | − | 31.3926i | −0.440045 | − | 1.17981i | ||||
\(709\) | −25.6634 | + | 15.0504i | −0.963809 | + | 0.565229i | −0.901477 | − | 0.432827i | \(-0.857516\pi\) |
−0.0623322 | + | 0.998055i | \(0.519854\pi\) | |||||||
\(710\) | 13.0370 | + | 27.7933i | 0.489271 | + | 1.04307i | ||||
\(711\) | −73.7099 | + | 11.3664i | −2.76434 | + | 0.426274i | ||||
\(712\) | −15.6772 | + | 12.5021i | −0.587527 | + | 0.468537i | ||||
\(713\) | −18.0565 | − | 11.7490i | −0.676220 | − | 0.440004i | ||||
\(714\) | 3.04762 | + | 0.343385i | 0.114054 | + | 0.0128508i | ||||
\(715\) | 17.2419 | − | 30.0997i | 0.644810 | − | 1.12567i | ||||
\(716\) | −1.20325 | + | 0.407310i | −0.0449677 | + | 0.0152219i | ||||
\(717\) | 0.994146 | − | 32.4784i | 0.0371271 | − | 1.21293i | ||||
\(718\) | −0.365657 | − | 17.9219i | −0.0136462 | − | 0.668839i | ||||
\(719\) | −29.3258 | + | 11.2800i | −1.09367 | + | 0.420673i | −0.837766 | − | 0.546030i | \(-0.816139\pi\) |
−0.255902 | + | 0.966703i | \(0.582372\pi\) | |||||||
\(720\) | 68.0054 | + | 38.0393i | 2.53441 | + | 1.41764i | ||||
\(721\) | −1.51239 | + | 0.186046i | −0.0563244 | + | 0.00692872i | ||||
\(722\) | −26.6940 | + | 2.45741i | −0.993447 | + | 0.0914553i | ||||
\(723\) | 13.5501 | − | 15.3191i | 0.503935 | − | 0.569725i | ||||
\(724\) | 7.11180 | − | 8.20746i | 0.264308 | − | 0.305028i | ||||
\(725\) | −1.58886 | + | 27.4798i | −0.0590086 | + | 1.02057i | ||||
\(726\) | 37.5878 | − | 11.0368i | 1.39501 | − | 0.409613i | ||||
\(727\) | 16.9621 | − | 25.8108i | 0.629089 | − | 0.957271i | −0.370506 | − | 0.928830i | \(-0.620816\pi\) |
0.999595 | − | 0.0284412i | \(-0.00905432\pi\) | |||||||
\(728\) | 0.459138 | + | 1.92108i | 0.0170168 | + | 0.0711999i | ||||
\(729\) | −29.1538 | + | 32.2901i | −1.07977 | + | 1.19593i | ||||
\(730\) | −51.1711 | − | 4.18484i | −1.89393 | − | 0.154888i | ||||
\(731\) | 2.68627 | − | 12.9849i | 0.0993554 | − | 0.480262i | ||||
\(732\) | −22.6717 | + | 7.16249i | −0.837971 | + | 0.264733i | ||||
\(733\) | 5.14185 | + | 2.54111i | 0.189918 | + | 0.0938582i | 0.535518 | − | 0.844524i | \(-0.320117\pi\) |
−0.345599 | + | 0.938382i | \(0.612324\pi\) | |||||||
\(734\) | 48.2586 | − | 1.97004i | 1.78126 | − | 0.0727155i | ||||
\(735\) | 20.5753 | + | 58.8008i | 0.758931 | + | 2.16890i | ||||
\(736\) | 24.3349 | + | 1.13132i | 0.896997 | + | 0.0417011i | ||||
\(737\) | −10.1827 | + | 10.1827i | −0.375084 | + | 0.375084i | ||||
\(738\) | −34.6739 | − | 6.43862i | −1.27636 | − | 0.237009i | ||||
\(739\) | 44.6340 | − | 20.9365i | 1.64189 | − | 0.770161i | 0.641895 | − | 0.766792i | \(-0.278148\pi\) |
0.999994 | − | 0.00336905i | \(-0.00107240\pi\) | |||||||
\(740\) | 10.6631 | − | 12.5625i | 0.391984 | − | 0.461808i | ||||
\(741\) | −8.08559 | − | 32.3670i | −0.297032 | − | 1.18903i | ||||
\(742\) | 0.815912 | − | 1.08993i | 0.0299531 | − | 0.0400126i | ||||
\(743\) | −2.21832 | + | 5.27919i | −0.0813824 | + | 0.193675i | −0.957507 | − | 0.288410i | \(-0.906873\pi\) |
0.876125 | + | 0.482085i | \(0.160120\pi\) | |||||||
\(744\) | 17.6182 | + | 13.7584i | 0.645915 | + | 0.504409i | ||||
\(745\) | −48.8917 | − | 12.2136i | −1.79125 | − | 0.447473i | ||||
\(746\) | 24.1507 | + | 57.4742i | 0.884221 | + | 2.10428i | ||||
\(747\) | −11.0675 | + | 40.7499i | −0.404940 | + | 1.49096i | ||||
\(748\) | 5.31406 | + | 2.83172i | 0.194301 | + | 0.103538i | ||||
\(749\) | 0.0479504 | + | 0.782526i | 0.00175207 | + | 0.0285929i | ||||
\(750\) | 1.71659 | + | 0.0350231i | 0.0626808 | + | 0.00127886i | ||||
\(751\) | 37.4786 | − | 8.95740i | 1.36761 | − | 0.326860i | 0.518503 | − | 0.855076i | \(-0.326489\pi\) |
0.849110 | + | 0.528216i | \(0.177139\pi\) | |||||||
\(752\) | −9.75672 | − | 34.5273i | −0.355791 | − | 1.25908i | ||||
\(753\) | 5.56025 | + | 38.6724i | 0.202627 | + | 1.40930i | ||||
\(754\) | 55.9056 | − | 19.7787i | 2.03596 | − | 0.720297i | ||||
\(755\) | 36.4375 | + | 5.23892i | 1.32610 | + | 0.190664i | ||||
\(756\) | −0.00927100 | + | 0.908892i | −0.000337183 | + | 0.0330561i | ||||
\(757\) | −15.7118 | + | 6.22815i | −0.571054 | + | 0.226366i | −0.636219 | − | 0.771509i | \(-0.719502\pi\) |
0.0651647 | + | 0.997875i | \(0.479243\pi\) | |||||||
\(758\) | −34.4501 | − | 16.5903i | −1.25129 | − | 0.602587i | ||||
\(759\) | −6.83723 | + | 21.9895i | −0.248176 | + | 0.798167i | ||||
\(760\) | −10.1996 | + | 2.32800i | −0.369980 | + | 0.0844456i | ||||
\(761\) | 34.0323 | + | 14.7106i | 1.23367 | + | 0.533259i | 0.910668 | − | 0.413140i | \(-0.135568\pi\) |
0.323001 | + | 0.946399i | \(0.395308\pi\) | |||||||
\(762\) | 9.24404 | − | 18.7050i | 0.334876 | − | 0.677610i | ||||
\(763\) | 2.29896 | − | 2.16240i | 0.0832281 | − | 0.0782842i | ||||
\(764\) | 18.7049 | + | 1.72194i | 0.676718 | + | 0.0622977i | ||||
\(765\) | 56.4246 | − | 1.72713i | 2.04004 | − | 0.0624445i | ||||
\(766\) | 8.54233 | + | 15.6441i | 0.308647 | + | 0.565245i | ||||
\(767\) | 25.0762 | − | 74.0790i | 0.905450 | − | 2.67484i | ||||
\(768\) | −52.1722 | − | 6.95885i | −1.88260 | − | 0.251106i | ||||
\(769\) | −10.9382 | + | 38.7083i | −0.394441 | + | 1.39586i | 0.465313 | + | 0.885146i | \(0.345942\pi\) |
−0.859753 | + | 0.510710i | \(0.829383\pi\) | |||||||
\(770\) | 0.0667411 | − | 1.63491i | 0.00240518 | − | 0.0589180i | ||||
\(771\) | 60.4298 | − | 4.32203i | 2.17633 | − | 0.155654i | ||||
\(772\) | 8.26185 | − | 1.44713i | 0.297351 | − | 0.0520835i | ||||
\(773\) | 23.3262 | + | 24.2979i | 0.838985 | + | 0.873934i | 0.993474 | − | 0.114061i | \(-0.0363859\pi\) |
−0.154488 | + | 0.987995i | \(0.549373\pi\) | |||||||
\(774\) | 30.7831 | + | 3.15080i | 1.10648 | + | 0.113253i | ||||
\(775\) | 22.6156 | + | 3.96132i | 0.812376 | + | 0.142295i | ||||
\(776\) | −7.87225 | − | 11.7169i | −0.282597 | − | 0.420611i | ||||
\(777\) | −2.56039 | − | 0.529687i | −0.0918536 | − | 0.0190024i | ||||
\(778\) | −14.5091 | + | 37.7207i | −0.520175 | + | 1.35235i | ||||
\(779\) | 6.60753 | − | 4.05838i | 0.236739 | − | 0.145406i | ||||
\(780\) | −20.4738 | − | 51.6493i | −0.733079 | − | 1.84934i | ||||
\(781\) | 8.09793 | − | 5.08827i | 0.289767 | − | 0.182073i | ||||
\(782\) | 26.3679 | − | 14.2049i | 0.942913 | − | 0.507967i | ||||
\(783\) | −28.6561 | + | 2.73763i | −1.02408 | + | 0.0978349i | ||||
\(784\) | −22.8169 | − | 26.3321i | −0.814891 | − | 0.940434i | ||||
\(785\) | 11.4358 | + | 0.116649i | 0.408160 | + | 0.00416337i | ||||
\(786\) | 3.20596 | − | 6.16712i | 0.114353 | − | 0.219974i | ||||
\(787\) | 33.1241 | − | 27.5395i | 1.18075 | − | 0.981677i | 0.180748 | − | 0.983529i | \(-0.442148\pi\) |
0.999998 | + | 0.00185218i | \(0.000589569\pi\) | |||||||
\(788\) | 0.500753 | − | 6.12307i | 0.0178386 | − | 0.218125i | ||||
\(789\) | −2.50940 | + | 40.9522i | −0.0893370 | + | 1.45794i | ||||
\(790\) | 43.6635 | − | 71.0894i | 1.55348 | − | 2.52925i | ||||
\(791\) | 1.71710 | − | 1.03068i | 0.0610532 | − | 0.0366468i | ||||
\(792\) | 5.60262 | − | 13.7235i | 0.199081 | − | 0.487642i | ||||
\(793\) | −51.5931 | − | 20.4515i | −1.83212 | − | 0.726254i | ||||
\(794\) | 26.0890 | + | 28.3097i | 0.925865 | + | 1.00467i | ||||
\(795\) | 19.3608 | − | 35.4566i | 0.686656 | − | 1.25752i | ||||
\(796\) | −4.20497 | + | 8.29451i | −0.149041 | + | 0.293991i | ||||
\(797\) | −31.4893 | + | 0.321201i | −1.11541 | + | 0.0113775i | −0.566170 | − | 0.824288i | \(-0.691576\pi\) |
−0.549238 | + | 0.835666i | \(0.685082\pi\) | |||||||
\(798\) | −1.04263 | − | 1.17875i | −0.0369086 | − | 0.0417271i | ||||
\(799\) | −18.9337 | − | 17.8091i | −0.669827 | − | 0.630039i | ||||
\(800\) | −24.3271 | + | 9.07354i | −0.860093 | + | 0.320798i | ||||
\(801\) | −53.7228 | − | 14.0041i | −1.89820 | − | 0.494812i | ||||
\(802\) | 40.6316 | + | 9.71096i | 1.43475 | + | 0.342906i | ||||
\(803\) | 0.652406 | + | 15.9815i | 0.0230229 | + | 0.563975i | ||||
\(804\) | 2.58244 | + | 22.9198i | 0.0910758 | + | 0.808320i | ||||
\(805\) | −2.15611 | − | 1.56498i | −0.0759931 | − | 0.0551584i | ||||
\(806\) | −11.0069 | − | 48.2245i | −0.387702 | − | 1.69863i | ||||
\(807\) | 11.7697 | − | 6.27177i | 0.414314 | − | 0.220777i | ||||
\(808\) | −0.608145 | − | 0.990134i | −0.0213945 | − | 0.0348328i | ||||
\(809\) | −6.49298 | − | 3.37536i | −0.228281 | − | 0.118671i | 0.343273 | − | 0.939236i | \(-0.388464\pi\) |
−0.571554 | + | 0.820564i | \(0.693659\pi\) | |||||||
\(810\) | 0.232883 | + | 1.74598i | 0.00818267 | + | 0.0613475i | ||||
\(811\) | 10.5814 | − | 1.52137i | 0.371563 | − | 0.0534226i | 0.0459957 | − | 0.998942i | \(-0.485354\pi\) |
0.325567 | + | 0.945519i | \(0.394445\pi\) | |||||||
\(812\) | 0.625068 | − | 0.669147i | 0.0219356 | − | 0.0234825i | ||||
\(813\) | −65.9494 | + | 42.3831i | −2.31295 | + | 1.48644i | ||||
\(814\) | −13.1053 | − | 8.61242i | −0.459342 | − | 0.301865i | ||||
\(815\) | −3.22505 | + | 63.1816i | −0.112969 | + | 2.21315i | ||||
\(816\) | −46.7191 | + | 20.1945i | −1.63549 | + | 0.706950i | ||||
\(817\) | −5.48810 | + | 4.02165i | −0.192004 | + | 0.140700i | ||||
\(818\) | −20.8821 | + | 11.6806i | −0.730127 | + | 0.408402i | ||||
\(819\) | −3.49621 | + | 4.20518i | −0.122167 | + | 0.146941i | ||||
\(820\) | 10.0137 | − | 8.15417i | 0.349695 | − | 0.284756i | ||||
\(821\) | −1.97660 | − | 2.81607i | −0.0689837 | − | 0.0982816i | 0.782533 | − | 0.622609i | \(-0.213927\pi\) |
−0.851517 | + | 0.524327i | \(0.824317\pi\) | |||||||
\(822\) | −90.5218 | + | 47.0575i | −3.15731 | + | 1.64132i | ||||
\(823\) | −44.0664 | − | 26.4506i | −1.53606 | − | 0.922009i | −0.996806 | − | 0.0798649i | \(-0.974551\pi\) |
−0.539252 | − | 0.842144i | \(-0.681293\pi\) | |||||||
\(824\) | 12.3616 | − | 9.25377i | 0.430636 | − | 0.322370i | ||||
\(825\) | −2.49906 | − | 24.4156i | −0.0870060 | − | 0.850041i | ||||
\(826\) | −0.562236 | − | 3.64604i | −0.0195627 | − | 0.126862i | ||||
\(827\) | −7.81910 | + | 12.4440i | −0.271897 | + | 0.432721i | −0.954563 | − | 0.298009i | \(-0.903677\pi\) |
0.682666 | + | 0.730730i | \(0.260820\pi\) | |||||||
\(828\) | 12.8460 | + | 18.9332i | 0.446428 | + | 0.657975i | ||||
\(829\) | 15.7349 | + | 15.7349i | 0.546494 | + | 0.546494i | 0.925425 | − | 0.378931i | \(-0.123708\pi\) |
−0.378931 | + | 0.925425i | \(0.623708\pi\) | |||||||
\(830\) | −26.7409 | − | 38.9367i | −0.928192 | − | 1.35151i | ||||
\(831\) | −17.2690 | + | 72.2550i | −0.599054 | + | 2.50650i | ||||
\(832\) | −5.42379 | − | 5.76631i | −0.188036 | − | 0.199911i | ||||
\(833\) | −23.9906 | − | 7.84917i | −0.831226 | − | 0.271958i | ||||
\(834\) | −14.0994 | + | 9.47300i | −0.488221 | + | 0.328023i | ||||
\(835\) | −18.7601 | − | 1.14955i | −0.649219 | − | 0.0397818i | ||||
\(836\) | −1.05017 | − | 2.90579i | −0.0363208 | − | 0.100499i | ||||
\(837\) | −0.489801 | + | 24.0066i | −0.0169300 | + | 0.829789i | ||||
\(838\) | −57.6731 | − | 2.94387i | −1.99228 | − | 0.101694i | ||||
\(839\) | −6.68527 | + | 43.3532i | −0.230801 | + | 1.49672i | 0.530147 | + | 0.847906i | \(0.322137\pi\) |
−0.760948 | + | 0.648813i | \(0.775266\pi\) | |||||||
\(840\) | 2.08932 | + | 1.81040i | 0.0720883 | + | 0.0624649i | ||||
\(841\) | 23.1580 | + | 17.4558i | 0.798553 | + | 0.601924i | ||||
\(842\) | 36.9801 | − | 16.8883i | 1.27442 | − | 0.582008i | ||||
\(843\) | −25.6695 | − | 12.0408i | −0.884103 | − | 0.414706i | ||||
\(844\) | 2.11576 | + | 1.51750i | 0.0728276 | + | 0.0522344i | ||||
\(845\) | 26.6148 | − | 84.2449i | 0.915577 | − | 2.89811i | ||||
\(846\) | 36.8453 | − | 48.1871i | 1.26677 | − | 1.65671i | ||||
\(847\) | 1.40727 | − | 0.115089i | 0.0483544 | − | 0.00395449i | ||||
\(848\) | −2.75868 | + | 22.4256i | −0.0947333 | + | 0.770098i | ||||
\(849\) | −15.2131 | − | 14.0197i | −0.522111 | − | 0.481155i | ||||
\(850\) | −19.9027 | + | 24.9572i | −0.682657 | + | 0.856025i | ||||
\(851\) | −23.4947 | + | 9.99835i | −0.805388 | + | 0.342739i | ||||
\(852\) | 1.71509 | − | 15.2218i | 0.0587579 | − | 0.521491i | ||||
\(853\) | −10.0093 | − | 0.715882i | −0.342713 | − | 0.0245113i | −0.101078 | − | 0.994879i | \(-0.532229\pi\) |
−0.241635 | + | 0.970367i | \(0.577684\pi\) | |||||||
\(854\) | −2.60431 | + | 0.266564i | −0.0891176 | + | 0.00912163i | ||||
\(855\) | −22.0835 | − | 18.7446i | −0.755241 | − | 0.641050i | ||||
\(856\) | −4.36318 | − | 6.63935i | −0.149130 | − | 0.226928i | ||||
\(857\) | 39.3855 | − | 41.8728i | 1.34538 | − | 1.43035i | 0.534464 | − | 0.845191i | \(-0.320514\pi\) |
0.810920 | − | 0.585157i | \(-0.198967\pi\) | |||||||
\(858\) | −46.4078 | + | 25.3406i | −1.58434 | + | 0.865113i | ||||
\(859\) | 24.8901 | − | 12.3008i | 0.849240 | − | 0.419697i | 0.0344179 | − | 0.999408i | \(-0.489042\pi\) |
0.814822 | + | 0.579711i | \(0.196834\pi\) | |||||||
\(860\) | −8.17393 | + | 7.84706i | −0.278729 | + | 0.267583i | ||||
\(861\) | −1.89708 | − | 0.774485i | −0.0646523 | − | 0.0263944i | ||||
\(862\) | 42.5351 | + | 29.2122i | 1.44875 | + | 0.994973i | ||||
\(863\) | −55.1085 | − | 14.9673i | −1.87591 | − | 0.509492i | −0.999616 | − | 0.0277225i | \(-0.991175\pi\) |
−0.876298 | − | 0.481769i | \(-0.839994\pi\) | |||||||
\(864\) | −13.2557 | − | 23.6981i | −0.450967 | − | 0.806224i | ||||
\(865\) | −15.3798 | − | 74.3428i | −0.522930 | − | 2.52773i | ||||
\(866\) | 2.31289 | + | 18.8017i | 0.0785951 | + | 0.638908i | ||||
\(867\) | 6.36090 | − | 8.86866i | 0.216028 | − | 0.301196i | ||||
\(868\) | −0.494263 | − | 0.582307i | −0.0167764 | − | 0.0197648i | ||||
\(869\) | −23.6420 | − | 10.7969i | −0.801999 | − | 0.366261i | ||||
\(870\) | 47.4501 | − | 68.1002i | 1.60871 | − | 2.30881i | ||||
\(871\) | −29.1072 | + | 45.2917i | −0.986259 | + | 1.53465i | ||||
\(872\) | −9.32324 | + | 30.5941i | −0.315725 | + | 1.03605i | ||||
\(873\) | 12.9082 | − | 36.8896i | 0.436878 | − | 1.24852i | ||||
\(874\) | −14.9269 | − | 3.65691i | −0.504910 | − | 0.123697i | ||||
\(875\) | 0.0603321 | + | 0.0137704i | 0.00203960 | + | 0.000465525i | ||||
\(876\) | 20.6641 | + | 15.1426i | 0.698176 | + | 0.511620i | ||||
\(877\) | −20.0164 | − | 2.46231i | −0.675905 | − | 0.0831463i | −0.223154 | − | 0.974783i | \(-0.571635\pi\) |
−0.452751 | + | 0.891637i | \(0.649557\pi\) | |||||||
\(878\) | −5.43510 | − | 0.166366i | −0.183426 | − | 0.00561457i | ||||
\(879\) | −12.8530 | − | 25.3531i | −0.433519 | − | 0.855138i | ||||
\(880\) | 12.5250 | + | 24.0936i | 0.422218 | + | 0.812196i | ||||
\(881\) | 30.4185 | + | 12.7819i | 1.02482 | + | 0.430632i | 0.834452 | − | 0.551080i | \(-0.185784\pi\) |
0.190371 | + | 0.981712i | \(0.439031\pi\) | |||||||
\(882\) | 12.5214 | − | 57.5602i | 0.421619 | − | 1.93815i | ||||
\(883\) | 10.3627 | + | 5.25347i | 0.348734 | + | 0.176794i | 0.617814 | − | 0.786324i | \(-0.288018\pi\) |
−0.269080 | + | 0.963118i | \(0.586720\pi\) | |||||||
\(884\) | 21.6637 | + | 6.12173i | 0.728630 | + | 0.205896i | ||||
\(885\) | −31.9092 | − | 104.710i | −1.07262 | − | 3.51978i | ||||
\(886\) | −23.8630 | − | 0.974150i | −0.801694 | − | 0.0327272i | ||||
\(887\) | −0.943795 | − | 0.515351i | −0.0316895 | − | 0.0173038i | 0.463326 | − | 0.886188i | \(-0.346656\pi\) |
−0.495016 | + | 0.868884i | \(0.664838\pi\) | |||||||
\(888\) | 25.1820 | − | 8.23895i | 0.845051 | − | 0.276481i | ||||
\(889\) | 0.462855 | − | 0.592704i | 0.0155236 | − | 0.0198786i | ||||
\(890\) | 50.8318 | − | 35.6787i | 1.70389 | − | 1.19595i | ||||
\(891\) | 0.531006 | − | 0.138420i | 0.0177894 | − | 0.00463723i | ||||
\(892\) | 0.420056 | − | 0.00857031i | 0.0140645 | − | 0.000286955i | ||||
\(893\) | 1.08714 | + | 13.2933i | 0.0363799 | + | 0.444843i | ||||
\(894\) | 53.7605 | + | 54.8685i | 1.79802 | + | 1.83508i | ||||
\(895\) | −4.00516 | + | 1.08779i | −0.133878 | + | 0.0363607i | ||||
\(896\) | −2.02772 | − | 0.709530i | −0.0677414 | − | 0.0237037i | ||||
\(897\) | −7.50262 | + | 85.7656i | −0.250505 | + | 2.86363i | ||||
\(898\) | 4.87807i | 0.162783i | ||||||||
\(899\) | 16.6920 | − | 17.5076i | 0.556708 | − | 0.583912i | ||||
\(900\) | −20.5142 | − | 13.1837i | −0.683807 | − | 0.439456i | ||||
\(901\) | 6.64769 | + | 14.9583i | 0.221467 | + | 0.498334i | ||||
\(902\) | −8.86582 | − | 8.51128i | −0.295199 | − | 0.283395i | ||||
\(903\) | 1.71440 | + | 0.541617i | 0.0570517 | + | 0.0180239i | ||||
\(904\) | −9.90728 | + | 17.7119i | −0.329511 | + | 0.589089i | ||||
\(905\) | 24.8313 | − | 25.3431i | 0.825422 | − | 0.842435i | ||||
\(906\) | −43.1482 | − | 35.8736i | −1.43350 | − | 1.19182i | ||||
\(907\) | 15.8618 | − | 6.66516i | 0.526684 | − | 0.221313i | −0.107908 | − | 0.994161i | \(-0.534415\pi\) |
0.634591 | + | 0.772848i | \(0.281168\pi\) | |||||||
\(908\) | 1.15688 | + | 6.23013i | 0.0383923 | + | 0.206754i | ||||
\(909\) | 1.18555 | − | 2.99080i | 0.0393223 | − | 0.0991985i | ||||
\(910\) | −1.05545 | − | 6.02569i | −0.0349879 | − | 0.199750i | ||||
\(911\) | 12.0155 | − | 32.2147i | 0.398090 | − | 1.06732i | −0.571072 | − | 0.820900i | \(-0.693472\pi\) |
0.969163 | − | 0.246422i | \(-0.0792549\pi\) | |||||||
\(912\) | 24.7374 | + | 8.37376i | 0.819136 | + | 0.277283i | ||||
\(913\) | −11.0222 | + | 9.74943i | −0.364783 | + | 0.322659i | ||||
\(914\) | −0.846390 | − | 0.376148i | −0.0279961 | − | 0.0124419i | ||||
\(915\) | −75.3629 | + | 18.8264i | −2.49142 | + | 0.622381i | ||||
\(916\) | 9.08718 | + | 12.1390i | 0.300249 | + | 0.401085i | ||||
\(917\) | 0.158188 | − | 0.194263i | 0.00522382 | − | 0.00641512i | ||||
\(918\) | −28.9677 | − | 16.5934i | −0.956075 | − | 0.547665i | ||||
\(919\) | −9.32155 | − | 7.43369i | −0.307489 | − | 0.245215i | 0.457571 | − | 0.889173i | \(-0.348720\pi\) |
−0.765061 | + | 0.643958i | \(0.777291\pi\) | |||||||
\(920\) | 26.8418 | + | 2.90090i | 0.884948 | + | 0.0956398i | ||||
\(921\) | −23.7303 | − | 49.2765i | −0.781940 | − | 1.62372i | ||||
\(922\) | −39.4602 | + | 53.8489i | −1.29955 | + | 1.77342i | ||||
\(923\) | 25.5397 | − | 25.0240i | 0.840650 | − | 0.823673i | ||||
\(924\) | −0.455330 | + | 0.677703i | −0.0149793 | + | 0.0222948i | ||||
\(925\) | 18.8465 | − | 19.6316i | 0.619670 | − | 0.645482i | ||||
\(926\) | −3.79018 | + | 3.21711i | −0.124553 | + | 0.105721i | ||||
\(927\) | 41.0215 | + | 12.0450i | 1.34732 | + | 0.395610i | ||||
\(928\) | −6.26702 | + | 26.6272i | −0.205725 | + | 0.874082i | ||||
\(929\) | −7.90075 | − | 17.3002i | −0.259215 | − | 0.567602i | 0.734619 | − | 0.678480i | \(-0.237361\pi\) |
−0.993834 | + | 0.110878i | \(0.964634\pi\) | |||||||
\(930\) | −51.8578 | − | 45.8694i | −1.70048 | − | 1.50412i | ||||
\(931\) | 6.43793 | + | 11.2389i | 0.210995 | + | 0.368340i | ||||
\(932\) | −3.39179 | − | 7.84674i | −0.111102 | − | 0.257028i | ||||
\(933\) | 58.9084 | − | 3.60969i | 1.92857 | − | 0.118176i | ||||
\(934\) | −52.3332 | + | 40.0155i | −1.71239 | + | 1.30935i | ||||
\(935\) | 16.7631 | + | 10.2960i | 0.548213 | + | 0.336715i | ||||
\(936\) | 9.56140 | − | 54.5871i | 0.312524 | − | 1.78423i | ||||
\(937\) | 11.3783 | + | 6.67284i | 0.371713 | + | 0.217992i | 0.679852 | − | 0.733349i | \(-0.262044\pi\) |
−0.308139 | + | 0.951341i | \(0.599706\pi\) | |||||||
\(938\) | −0.232807 | + | 2.52890i | −0.00760140 | + | 0.0825714i | ||||
\(939\) | 1.77515 | − | 6.80986i | 0.0579299 | − | 0.222231i | ||||
\(940\) | 4.72150 | + | 21.7044i | 0.153998 | + | 0.707919i | ||||
\(941\) | 4.24710 | − | 22.8719i | 0.138452 | − | 0.745603i | −0.840547 | − | 0.541738i | \(-0.817766\pi\) |
0.978999 | − | 0.203865i | \(-0.0653505\pi\) | |||||||
\(942\) | −14.7605 | − | 9.27467i | −0.480925 | − | 0.302185i | ||||
\(943\) | −19.5340 | + | 4.34241i | −0.636115 | + | 0.141408i | ||||
\(944\) | 38.1719 | + | 47.8661i | 1.24239 | + | 1.55791i | ||||
\(945\) | −0.211847 | + | 2.96201i | −0.00689139 | + | 0.0963542i | ||||
\(946\) | 8.36195 | + | 6.80912i | 0.271870 | + | 0.221383i | ||||
\(947\) | 40.4380 | − | 7.93647i | 1.31406 | − | 0.257901i | 0.513982 | − | 0.857801i | \(-0.328170\pi\) |
0.800075 | + | 0.599900i | \(0.204793\pi\) | |||||||
\(948\) | −37.1298 | + | 18.8233i | −1.20592 | + | 0.611351i | ||||
\(949\) | 15.0840 | + | 57.8652i | 0.489646 | + | 1.87838i | ||||
\(950\) | 16.1619 | − | 2.66129i | 0.524362 | − | 0.0863436i | ||||
\(951\) | 36.8720 | + | 36.1274i | 1.19566 | + | 1.17151i | ||||
\(952\) | −1.09695 | + | 0.226934i | −0.0355523 | + | 0.00735496i | ||||
\(953\) | −4.58430 | + | 27.8403i | −0.148500 | + | 0.901837i | 0.803402 | + | 0.595436i | \(0.203021\pi\) |
−0.951903 | + | 0.306401i | \(0.900875\pi\) | |||||||
\(954\) | −33.1466 | + | 18.9872i | −1.07316 | + | 0.614734i | ||||
\(955\) | 60.6518 | + | 9.35280i | 1.96265 | + | 0.302650i | ||||
\(956\) | −3.16972 | − | 10.7951i | −0.102516 | − | 0.349138i | ||||
\(957\) | −22.8617 | − | 12.0814i | −0.739014 | − | 0.390538i | ||||
\(958\) | 11.0061 | + | 17.1259i | 0.355593 | + | 0.553313i | ||||
\(959\) | −3.53862 | + | 0.999944i | −0.114268 | + | 0.0322899i | ||||
\(960\) | −10.8726 | − | 2.13389i | −0.350912 | − | 0.0688711i | ||||
\(961\) | 6.91911 | + | 8.32220i | 0.223197 | + | 0.268458i | ||||
\(962\) | −54.7208 | − | 21.0480i | −1.76427 | − | 0.678616i | ||||
\(963\) | 7.47643 | − | 20.6871i | 0.240925 | − | 0.666633i | ||||
\(964\) | 2.80973 | − | 6.50017i | 0.0904952 | − | 0.209356i | ||||
\(965\) | 27.2308 | − | 3.06817i | 0.876589 | − | 0.0987679i | ||||
\(966\) | 1.55202 | + | 3.75281i | 0.0499353 | + | 0.120745i | ||||
\(967\) | −6.53546 | + | 2.28686i | −0.210166 | + | 0.0735403i | −0.433309 | − | 0.901245i | \(-0.642654\pi\) |
0.223143 | + | 0.974786i | \(0.428368\pi\) | |||||||
\(968\) | −11.7947 | + | 8.10035i | −0.379095 | + | 0.260355i | ||||
\(969\) | 18.4878 | − | 4.02178i | 0.593915 | − | 0.129198i | ||||
\(970\) | 22.1163 | + | 37.7121i | 0.710113 | + | 1.21086i | ||||
\(971\) | −8.11198 | + | 5.33094i | −0.260326 | + | 0.171078i | −0.672654 | − | 0.739957i | \(-0.734846\pi\) |
0.412328 | + | 0.911035i | \(0.364716\pi\) | |||||||
\(972\) | −5.98186 | + | 13.4601i | −0.191868 | + | 0.431733i | ||||
\(973\) | −0.566816 | + | 0.231403i | −0.0181713 | + | 0.00741845i | ||||
\(974\) | 36.6699 | + | 7.97704i | 1.17498 | + | 0.255601i | ||||
\(975\) | −28.5328 | − | 87.2090i | −0.913779 | − | 2.79292i | ||||
\(976\) | 35.3039 | − | 25.3211i | 1.13005 | − | 0.810509i | ||||
\(977\) | −52.6482 | + | 9.77629i | −1.68437 | + | 0.312771i | −0.936392 | − | 0.350956i | \(-0.885857\pi\) |
−0.747974 | + | 0.663727i | \(0.768973\pi\) | |||||||
\(978\) | 54.5936 | − | 79.4920i | 1.74571 | − | 2.54187i | ||||
\(979\) | −12.9655 | − | 14.3603i | −0.414379 | − | 0.458957i | ||||
\(980\) | 13.1019 | + | 17.1350i | 0.418525 | + | 0.547357i | ||||
\(981\) | −83.2805 | + | 30.0980i | −2.65894 | + | 0.960956i | ||||
\(982\) | −1.61397 | − | 1.45720i | −0.0515038 | − | 0.0465012i | ||||
\(983\) | −9.75148 | + | 49.6858i | −0.311024 | + | 1.58473i | 0.423337 | + | 0.905972i | \(0.360859\pi\) |
−0.734361 | + | 0.678760i | \(0.762518\pi\) | |||||||
\(984\) | 20.5824 | − | 2.74532i | 0.656142 | − | 0.0875177i | ||||
\(985\) | 2.85645 | − | 19.8671i | 0.0910141 | − | 0.633017i | ||||
\(986\) | 10.2417 | + | 32.0338i | 0.326162 | + | 1.02016i | ||||
\(987\) | 2.66362 | − | 2.30804i | 0.0847839 | − | 0.0734657i | ||||
\(988\) | −6.14572 | − | 9.78085i | −0.195521 | − | 0.311170i | ||||
\(989\) | 16.7721 | − | 5.19452i | 0.533322 | − | 0.165176i | ||||
\(990\) | −19.9192 | + | 41.3627i | −0.633074 | + | 1.31459i | ||||
\(991\) | −9.35622 | − | 17.5581i | −0.297210 | − | 0.557750i | 0.688696 | − | 0.725050i | \(-0.258183\pi\) |
−0.985906 | + | 0.167300i | \(0.946495\pi\) | |||||||
\(992\) | 21.4589 | + | 7.75537i | 0.681321 | + | 0.246233i | ||||
\(993\) | 6.92708 | + | 21.9266i | 0.219824 | + | 0.695819i | ||||
\(994\) | 0.524467 | − | 1.60301i | 0.0166351 | − | 0.0508444i | ||||
\(995\) | −15.3697 | + | 26.2078i | −0.487251 | + | 0.830845i | ||||
\(996\) | 1.20150 | + | 23.5385i | 0.0380710 | + | 0.745846i | ||||
\(997\) | 9.08725 | + | 18.3877i | 0.287796 | + | 0.582345i | 0.991792 | − | 0.127859i | \(-0.0408106\pi\) |
−0.703996 | + | 0.710204i | \(0.748603\pi\) | |||||||
\(998\) | −37.5556 | − | 14.0075i | −1.18880 | − | 0.443401i | ||||
\(999\) | 23.2948 | + | 16.3506i | 0.737015 | + | 0.517310i |
(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 | 667.2.x.a.10.14 | ✓ | 6960 | |
23.7 | odd | 22 | inner | 667.2.x.a.329.14 | yes | 6960 | |
29.3 | odd | 28 | inner | 667.2.x.a.148.14 | yes | 6960 | |
667.467 | even | 308 | inner | 667.2.x.a.467.14 | yes | 6960 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
667.2.x.a.10.14 | ✓ | 6960 | 1.1 | even | 1 | trivial | |
667.2.x.a.148.14 | yes | 6960 | 29.3 | odd | 28 | inner | |
667.2.x.a.329.14 | yes | 6960 | 23.7 | odd | 22 | inner | |
667.2.x.a.467.14 | yes | 6960 | 667.467 | even | 308 | inner |