Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [169,2,Mod(14,169)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(169, base_ring=CyclotomicField(26))
chi = DirichletCharacter(H, H._module([18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("169.14");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 169 = 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 169.g (of order \(13\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.34947179416\) |
Analytic rank: | \(0\) |
Dimension: | \(156\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{13})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{13}]$ |
Embedding invariants
Embedding label | 14.1 | ||
Character | \(\chi\) | \(=\) | 169.14 |
Dual form | 169.2.g.a.157.1 |
$q$-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 \(\left(\mathbb{Z}/169\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{9}{13}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.55724 | + | 2.25606i | −1.10114 | + | 1.59527i | −0.347892 | + | 0.937535i | \(0.613102\pi\) |
−0.753246 | + | 0.657739i | \(0.771513\pi\) | |||||||
\(3\) | −1.88671 | + | 0.990222i | −1.08929 | + | 0.571705i | −0.911056 | − | 0.412283i | \(-0.864731\pi\) |
−0.178236 | + | 0.983988i | \(0.557039\pi\) | |||||||
\(4\) | −1.95558 | − | 5.15643i | −0.977789 | − | 2.57822i | ||||
\(5\) | −0.621291 | − | 0.550416i | −0.277850 | − | 0.246153i | 0.512676 | − | 0.858582i | \(-0.328654\pi\) |
−0.790526 | + | 0.612429i | \(0.790193\pi\) | |||||||
\(6\) | 0.704070 | − | 5.79854i | 0.287436 | − | 2.36724i | ||||
\(7\) | −0.145399 | − | 0.0358377i | −0.0549558 | − | 0.0135454i | 0.211742 | − | 0.977326i | \(-0.432086\pi\) |
−0.266698 | + | 0.963780i | \(0.585933\pi\) | |||||||
\(8\) | 9.35521 | + | 2.30585i | 3.30757 | + | 0.815242i | ||||
\(9\) | 0.874940 | − | 1.26757i | 0.291647 | − | 0.422523i | ||||
\(10\) | 2.20927 | − | 0.544537i | 0.698633 | − | 0.172198i | ||||
\(11\) | −1.32031 | − | 1.91280i | −0.398088 | − | 0.576730i | 0.571766 | − | 0.820417i | \(-0.306259\pi\) |
−0.969854 | + | 0.243687i | \(0.921643\pi\) | |||||||
\(12\) | 8.79562 | + | 7.79224i | 2.53908 | + | 2.24942i | ||||
\(13\) | −1.38245 | − | 3.32999i | −0.383423 | − | 0.923573i | ||||
\(14\) | 0.307274 | − | 0.272221i | 0.0821225 | − | 0.0727542i | ||||
\(15\) | 1.71723 | + | 0.423259i | 0.443387 | + | 0.109285i | ||||
\(16\) | −11.5147 | + | 10.2011i | −2.87867 | + | 2.55028i | ||||
\(17\) | 7.27623 | + | 1.79343i | 1.76474 | + | 0.434970i | 0.982233 | − | 0.187666i | \(-0.0600921\pi\) |
0.782512 | + | 0.622636i | \(0.213938\pi\) | |||||||
\(18\) | 1.49721 | + | 3.94783i | 0.352897 | + | 0.930512i | ||||
\(19\) | −4.83578 | −1.10940 | −0.554702 | − | 0.832049i | \(-0.687168\pi\) | ||||
−0.554702 | + | 0.832049i | \(0.687168\pi\) | |||||||
\(20\) | −1.62320 | + | 4.28003i | −0.362959 | + | 0.957043i | ||||
\(21\) | 0.309814 | − | 0.0763622i | 0.0676069 | − | 0.0166636i | ||||
\(22\) | 6.37142 | 1.35839 | ||||||||
\(23\) | −0.397056 | −0.0827919 | −0.0413960 | − | 0.999143i | \(-0.513181\pi\) | ||||
−0.0413960 | + | 0.999143i | \(0.513181\pi\) | |||||||
\(24\) | −19.9339 | + | 4.91326i | −4.06898 | + | 1.00291i | ||||
\(25\) | −0.519638 | − | 4.27961i | −0.103928 | − | 0.855921i | ||||
\(26\) | 9.66546 | + | 2.06672i | 1.89555 | + | 0.405317i | ||||
\(27\) | 0.374927 | − | 3.08781i | 0.0721548 | − | 0.594248i | ||||
\(28\) | 0.0995449 | + | 0.819826i | 0.0188122 | + | 0.154933i | ||||
\(29\) | 2.35738 | − | 3.41526i | 0.437755 | − | 0.634198i | −0.540563 | − | 0.841303i | \(-0.681789\pi\) |
0.978319 | + | 0.207105i | \(0.0664043\pi\) | |||||||
\(30\) | −3.62904 | + | 3.21505i | −0.662569 | + | 0.586985i | ||||
\(31\) | 1.08938 | − | 8.97185i | 0.195658 | − | 1.61139i | −0.482106 | − | 0.876113i | \(-0.660128\pi\) |
0.677765 | − | 0.735279i | \(-0.262949\pi\) | |||||||
\(32\) | −2.76036 | − | 22.7336i | −0.487967 | − | 4.01877i | ||||
\(33\) | 4.38513 | + | 2.30149i | 0.763353 | + | 0.400639i | ||||
\(34\) | −15.3769 | + | 13.6228i | −2.63712 | + | 2.33629i | ||||
\(35\) | 0.0706097 | + | 0.102296i | 0.0119352 | + | 0.0172911i | ||||
\(36\) | −8.24715 | − | 2.03274i | −1.37452 | − | 0.338790i | ||||
\(37\) | 0.160405 | − | 1.32105i | 0.0263704 | − | 0.217179i | −0.973567 | − | 0.228403i | \(-0.926650\pi\) |
0.999937 | + | 0.0112236i | \(0.00357266\pi\) | |||||||
\(38\) | 7.53049 | − | 10.9098i | 1.22161 | − | 1.76980i | ||||
\(39\) | 5.90571 | + | 4.91379i | 0.945670 | + | 0.786836i | ||||
\(40\) | −4.54313 | − | 6.58186i | −0.718332 | − | 1.04068i | ||||
\(41\) | −1.62386 | + | 0.852270i | −0.253605 | + | 0.133102i | −0.586736 | − | 0.809778i | \(-0.699587\pi\) |
0.333131 | + | 0.942881i | \(0.391895\pi\) | |||||||
\(42\) | −0.310178 | + | 0.817872i | −0.0478615 | + | 0.126200i | ||||
\(43\) | −0.0303490 | − | 0.249947i | −0.00462818 | − | 0.0381165i | 0.990212 | − | 0.139573i | \(-0.0445729\pi\) |
−0.994840 | + | 0.101456i | \(0.967650\pi\) | |||||||
\(44\) | −7.28124 | + | 10.5487i | −1.09769 | + | 1.59028i | ||||
\(45\) | −1.24128 | + | 0.305949i | −0.185039 | + | 0.0456081i | ||||
\(46\) | 0.618313 | − | 0.895782i | 0.0911653 | − | 0.132076i | ||||
\(47\) | −2.15607 | + | 5.68510i | −0.314496 | + | 0.829257i | 0.680808 | + | 0.732462i | \(0.261629\pi\) |
−0.995304 | + | 0.0967958i | \(0.969141\pi\) | |||||||
\(48\) | 11.6235 | − | 30.6487i | 1.67771 | − | 4.42375i | ||||
\(49\) | −6.17834 | − | 3.24264i | −0.882619 | − | 0.463234i | ||||
\(50\) | 10.4642 | + | 5.49206i | 1.47987 | + | 0.776695i | ||||
\(51\) | −15.5040 | + | 3.82140i | −2.17100 | + | 0.535103i | ||||
\(52\) | −14.4674 | + | 13.6406i | −2.00627 | + | 1.89161i | ||||
\(53\) | −9.96375 | − | 2.45584i | −1.36863 | − | 0.337336i | −0.514540 | − | 0.857467i | \(-0.672037\pi\) |
−0.854087 | + | 0.520130i | \(0.825883\pi\) | |||||||
\(54\) | 6.38241 | + | 5.65432i | 0.868536 | + | 0.769456i | ||||
\(55\) | −0.232538 | + | 1.91512i | −0.0313554 | + | 0.258235i | ||||
\(56\) | −1.27761 | − | 0.670539i | −0.170727 | − | 0.0896045i | ||||
\(57\) | 9.12371 | − | 4.78849i | 1.20847 | − | 0.634251i | ||||
\(58\) | 4.03400 | + | 10.6368i | 0.529690 | + | 1.39668i | ||||
\(59\) | −5.40729 | − | 4.79044i | −0.703969 | − | 0.623662i | 0.233245 | − | 0.972418i | \(-0.425066\pi\) |
−0.937214 | + | 0.348756i | \(0.886604\pi\) | |||||||
\(60\) | −1.17567 | − | 9.68249i | −0.151778 | − | 1.25000i | ||||
\(61\) | 10.9926 | − | 2.70942i | 1.40745 | − | 0.346906i | 0.538845 | − | 0.842405i | \(-0.318861\pi\) |
0.868609 | + | 0.495499i | \(0.165015\pi\) | |||||||
\(62\) | 18.5446 | + | 16.4291i | 2.35516 | + | 2.08649i | ||||
\(63\) | −0.172643 | + | 0.152948i | −0.0217509 | + | 0.0192696i | ||||
\(64\) | 28.3441 | + | 14.8761i | 3.54301 | + | 1.85951i | ||||
\(65\) | −0.973976 | + | 2.82982i | −0.120807 | + | 0.350995i | ||||
\(66\) | −12.0210 | + | 6.30912i | −1.47969 | + | 0.776599i | ||||
\(67\) | −2.87179 | + | 7.57230i | −0.350846 | + | 0.925104i | 0.637166 | + | 0.770726i | \(0.280106\pi\) |
−0.988012 | + | 0.154377i | \(0.950663\pi\) | |||||||
\(68\) | −4.98153 | − | 41.0266i | −0.604099 | − | 4.97520i | ||||
\(69\) | 0.749130 | − | 0.393174i | 0.0901846 | − | 0.0473325i | ||||
\(70\) | −0.340742 | −0.0407264 | ||||||||
\(71\) | −12.3077 | + | 6.45959i | −1.46066 | + | 0.766612i | −0.993091 | − | 0.117346i | \(-0.962561\pi\) |
−0.467566 | + | 0.883958i | \(0.654869\pi\) | |||||||
\(72\) | 11.1081 | − | 9.84089i | 1.30910 | − | 1.15976i | ||||
\(73\) | −1.16000 | − | 1.68056i | −0.135768 | − | 0.196694i | 0.749202 | − | 0.662341i | \(-0.230437\pi\) |
−0.884971 | + | 0.465647i | \(0.845822\pi\) | |||||||
\(74\) | 2.73058 | + | 2.41908i | 0.317423 | + | 0.281213i | ||||
\(75\) | 5.21817 | + | 7.55982i | 0.602542 | + | 0.872933i | ||||
\(76\) | 9.45674 | + | 24.9354i | 1.08476 | + | 2.86028i | ||||
\(77\) | 0.123422 | + | 0.325436i | 0.0140652 | + | 0.0370869i | ||||
\(78\) | −20.2824 | + | 5.67165i | −2.29653 | + | 0.642187i | ||||
\(79\) | 0.376038 | − | 0.991530i | 0.0423076 | − | 0.111556i | −0.912197 | − | 0.409751i | \(-0.865615\pi\) |
0.954505 | + | 0.298195i | \(0.0963847\pi\) | |||||||
\(80\) | 12.7688 | 1.42760 | ||||||||
\(81\) | 3.98873 | + | 10.5174i | 0.443192 | + | 1.16860i | ||||
\(82\) | 0.605983 | − | 4.99072i | 0.0669197 | − | 0.551133i | ||||
\(83\) | −3.07692 | − | 1.61489i | −0.337736 | − | 0.177257i | 0.287326 | − | 0.957833i | \(-0.407234\pi\) |
−0.625061 | + | 0.780576i | \(0.714926\pi\) | |||||||
\(84\) | −0.999621 | − | 1.44820i | −0.109068 | − | 0.158012i | ||||
\(85\) | −3.53352 | − | 5.11919i | −0.383264 | − | 0.555254i | ||||
\(86\) | 0.611155 | + | 0.320759i | 0.0659026 | + | 0.0345883i | ||||
\(87\) | −1.06583 | + | 8.77794i | −0.114269 | + | 0.941094i | ||||
\(88\) | −7.94113 | − | 20.9390i | −0.846528 | − | 2.23211i | ||||
\(89\) | 5.53769 | 0.586994 | 0.293497 | − | 0.955960i | \(-0.405181\pi\) | ||||
0.293497 | + | 0.955960i | \(0.405181\pi\) | |||||||
\(90\) | 1.24274 | − | 3.27684i | 0.130997 | − | 0.345409i | ||||
\(91\) | 0.0816681 | + | 0.533722i | 0.00856114 | + | 0.0559493i | ||||
\(92\) | 0.776474 | + | 2.04739i | 0.0809530 | + | 0.213456i | ||||
\(93\) | 6.82877 | + | 18.0060i | 0.708111 | + | 1.86714i | ||||
\(94\) | −9.46838 | − | 13.7173i | −0.976589 | − | 1.41483i | ||||
\(95\) | 3.00443 | + | 2.66169i | 0.308248 | + | 0.273084i | ||||
\(96\) | 27.7193 | + | 40.1583i | 2.82909 | + | 4.09864i | ||||
\(97\) | 1.99744 | − | 1.76958i | 0.202810 | − | 0.179674i | −0.555604 | − | 0.831447i | \(-0.687513\pi\) |
0.758414 | + | 0.651773i | \(0.225975\pi\) | |||||||
\(98\) | 16.9368 | − | 8.88910i | 1.71087 | − | 0.897935i | ||||
\(99\) | −3.57979 | −0.359783 | ||||||||
\(100\) | −21.0513 | + | 11.0486i | −2.10513 | + | 1.10486i | ||||
\(101\) | −1.75956 | − | 14.4913i | −0.175083 | − | 1.44194i | −0.769946 | − | 0.638109i | \(-0.779717\pi\) |
0.594863 | − | 0.803827i | \(-0.297206\pi\) | |||||||
\(102\) | 15.5223 | − | 40.9288i | 1.53693 | − | 4.05256i | ||||
\(103\) | 10.1145 | − | 5.30849i | 0.996610 | − | 0.523061i | 0.114158 | − | 0.993463i | \(-0.463583\pi\) |
0.882453 | + | 0.470401i | \(0.155891\pi\) | |||||||
\(104\) | −5.25464 | − | 34.3405i | −0.515260 | − | 3.36736i | ||||
\(105\) | −0.234516 | − | 0.123083i | −0.0228864 | − | 0.0120117i | ||||
\(106\) | 21.0565 | − | 18.6544i | 2.04519 | − | 1.81188i | ||||
\(107\) | 2.15561 | + | 1.90970i | 0.208390 | + | 0.184618i | 0.760862 | − | 0.648914i | \(-0.224777\pi\) |
−0.552471 | + | 0.833532i | \(0.686315\pi\) | |||||||
\(108\) | −16.6553 | + | 4.10515i | −1.60265 | + | 0.395019i | ||||
\(109\) | −0.214892 | − | 1.76979i | −0.0205829 | − | 0.169515i | 0.978792 | − | 0.204854i | \(-0.0656720\pi\) |
−0.999375 | + | 0.0353389i | \(0.988749\pi\) | |||||||
\(110\) | −3.95851 | − | 3.50693i | −0.377429 | − | 0.334373i | ||||
\(111\) | 1.00550 | + | 2.65128i | 0.0954375 | + | 0.251648i | ||||
\(112\) | 2.03982 | − | 1.07058i | 0.192744 | − | 0.101160i | ||||
\(113\) | 0.324550 | + | 0.170337i | 0.0305311 | + | 0.0160239i | 0.479920 | − | 0.877312i | \(-0.340666\pi\) |
−0.449389 | + | 0.893336i | \(0.648358\pi\) | |||||||
\(114\) | −3.40473 | + | 28.0405i | −0.318882 | + | 2.62623i | ||||
\(115\) | 0.246687 | + | 0.218546i | 0.0230037 | + | 0.0203795i | ||||
\(116\) | −22.2206 | − | 5.47689i | −2.06313 | − | 0.508516i | ||||
\(117\) | −5.43055 | − | 1.16119i | −0.502055 | − | 0.107352i | ||||
\(118\) | 19.2280 | − | 4.73927i | 1.77008 | − | 0.436285i | ||||
\(119\) | −0.993687 | − | 0.521527i | −0.0910911 | − | 0.0478083i | ||||
\(120\) | 15.0891 | + | 7.91935i | 1.37744 | + | 0.722935i | ||||
\(121\) | 1.98508 | − | 5.23422i | 0.180461 | − | 0.475838i | ||||
\(122\) | −11.0055 | + | 29.0191i | −0.996390 | + | 2.62727i | ||||
\(123\) | 2.21982 | − | 3.21597i | 0.200155 | − | 0.289974i | ||||
\(124\) | −48.3931 | + | 11.9278i | −4.34583 | + | 1.07115i | ||||
\(125\) | −4.39029 | + | 6.36043i | −0.392679 | + | 0.568894i | ||||
\(126\) | −0.0762128 | − | 0.627669i | −0.00678958 | − | 0.0559172i | ||||
\(127\) | −3.19704 | + | 8.42990i | −0.283691 | + | 0.748032i | 0.715107 | + | 0.699015i | \(0.246378\pi\) |
−0.998798 | + | 0.0490171i | \(0.984391\pi\) | |||||||
\(128\) | −37.1451 | + | 19.4953i | −3.28319 | + | 1.72315i | ||||
\(129\) | 0.304763 | + | 0.441525i | 0.0268328 | + | 0.0388741i | ||||
\(130\) | −4.86751 | − | 6.60406i | −0.426909 | − | 0.579214i | ||||
\(131\) | −5.21032 | + | 7.54845i | −0.455227 | + | 0.659511i | −0.981645 | − | 0.190715i | \(-0.938919\pi\) |
0.526418 | + | 0.850226i | \(0.323535\pi\) | |||||||
\(132\) | 3.29204 | − | 27.1124i | 0.286535 | − | 2.35983i | ||||
\(133\) | 0.703119 | + | 0.173303i | 0.0609682 | + | 0.0150273i | ||||
\(134\) | −12.6115 | − | 18.2709i | −1.08946 | − | 1.57836i | ||||
\(135\) | −1.93252 | + | 1.71206i | −0.166325 | + | 0.147351i | ||||
\(136\) | 63.9352 | + | 33.5558i | 5.48240 | + | 2.87739i | ||||
\(137\) | 2.04284 | + | 16.8243i | 0.174531 | + | 1.43740i | 0.772061 | + | 0.635548i | \(0.219226\pi\) |
−0.597530 | + | 0.801847i | \(0.703851\pi\) | |||||||
\(138\) | −0.279556 | + | 2.30235i | −0.0237973 | + | 0.195989i | ||||
\(139\) | 1.69393 | − | 1.50070i | 0.143678 | − | 0.127287i | −0.588223 | − | 0.808699i | \(-0.700172\pi\) |
0.731900 | + | 0.681412i | \(0.238634\pi\) | |||||||
\(140\) | 0.389399 | − | 0.564142i | 0.0329102 | − | 0.0476787i | ||||
\(141\) | −1.56162 | − | 12.8611i | −0.131512 | − | 1.08310i | ||||
\(142\) | 4.59292 | − | 37.8261i | 0.385429 | − | 3.17429i | ||||
\(143\) | −4.54433 | + | 7.04096i | −0.380016 | + | 0.588795i | ||||
\(144\) | 2.85597 | + | 23.5210i | 0.237998 | + | 1.96009i | ||||
\(145\) | −3.34444 | + | 0.824329i | −0.277740 | + | 0.0684568i | ||||
\(146\) | 5.59784 | 0.463281 | ||||||||
\(147\) | 14.8677 | 1.22626 | ||||||||
\(148\) | −7.12560 | + | 1.75630i | −0.585720 | + | 0.144367i | ||||
\(149\) | 5.11549 | − | 13.4884i | 0.419077 | − | 1.10502i | −0.544776 | − | 0.838582i | \(-0.683385\pi\) |
0.963853 | − | 0.266435i | \(-0.0858456\pi\) | |||||||
\(150\) | −25.1813 | −2.05605 | ||||||||
\(151\) | −2.24776 | − | 5.92687i | −0.182920 | − | 0.482321i | 0.811921 | − | 0.583768i | \(-0.198422\pi\) |
−0.994841 | + | 0.101446i | \(0.967653\pi\) | |||||||
\(152\) | −45.2397 | − | 11.1506i | −3.66943 | − | 0.904432i | ||||
\(153\) | 8.63956 | − | 7.65398i | 0.698467 | − | 0.618788i | ||||
\(154\) | −0.926401 | − | 0.228337i | −0.0746515 | − | 0.0183999i | ||||
\(155\) | −5.61507 | + | 4.97452i | −0.451013 | + | 0.399563i | ||||
\(156\) | 13.7886 | − | 40.0617i | 1.10397 | − | 3.20750i | ||||
\(157\) | 1.82181 | + | 1.61398i | 0.145396 | + | 0.128810i | 0.732686 | − | 0.680567i | \(-0.238267\pi\) |
−0.587290 | + | 0.809377i | \(0.699805\pi\) | |||||||
\(158\) | 1.65137 | + | 2.39242i | 0.131376 | + | 0.190331i | ||||
\(159\) | 21.2305 | − | 5.23286i | 1.68369 | − | 0.414993i | ||||
\(160\) | −10.7979 | + | 15.6435i | −0.853652 | + | 1.23673i | ||||
\(161\) | 0.0577317 | + | 0.0142296i | 0.00454990 | + | 0.00112145i | ||||
\(162\) | −29.9393 | − | 7.37938i | −2.35226 | − | 0.579779i | ||||
\(163\) | 1.27512 | − | 10.5016i | 0.0998754 | − | 0.822548i | −0.853569 | − | 0.520980i | \(-0.825567\pi\) |
0.953444 | − | 0.301569i | \(-0.0975102\pi\) | |||||||
\(164\) | 7.57026 | + | 6.70667i | 0.591138 | + | 0.523703i | ||||
\(165\) | −1.45766 | − | 3.84354i | −0.113479 | − | 0.299219i | ||||
\(166\) | 8.43480 | − | 4.42692i | 0.654667 | − | 0.343596i | ||||
\(167\) | 1.98794 | − | 2.88003i | 0.153831 | − | 0.222863i | −0.738489 | − | 0.674265i | \(-0.764460\pi\) |
0.892321 | + | 0.451402i | \(0.149076\pi\) | |||||||
\(168\) | 3.07445 | 0.237199 | ||||||||
\(169\) | −9.17767 | + | 9.20709i | −0.705974 | + | 0.708237i | ||||
\(170\) | 17.0518 | 1.30781 | ||||||||
\(171\) | −4.23102 | + | 6.12968i | −0.323554 | + | 0.468749i | ||||
\(172\) | −1.22948 | + | 0.645283i | −0.0937473 | + | 0.0492024i | ||||
\(173\) | 5.40207 | + | 14.2441i | 0.410712 | + | 1.08296i | 0.967626 | + | 0.252388i | \(0.0812159\pi\) |
−0.556915 | + | 0.830570i | \(0.688015\pi\) | |||||||
\(174\) | −18.1438 | − | 16.0740i | −1.37548 | − | 1.21857i | ||||
\(175\) | −0.0778163 | + | 0.640875i | −0.00588236 | + | 0.0484456i | ||||
\(176\) | 34.7156 | + | 8.55663i | 2.61679 | + | 0.644981i | ||||
\(177\) | 14.9456 | + | 3.68375i | 1.12338 | + | 0.276888i | ||||
\(178\) | −8.62354 | + | 12.4934i | −0.646361 | + | 0.936416i | ||||
\(179\) | 12.9084 | − | 3.18163i | 0.964817 | − | 0.237806i | 0.274721 | − | 0.961524i | \(-0.411415\pi\) |
0.690096 | + | 0.723718i | \(0.257568\pi\) | |||||||
\(180\) | 4.00503 | + | 5.80228i | 0.298517 | + | 0.432477i | ||||
\(181\) | −0.434900 | − | 0.385288i | −0.0323258 | − | 0.0286382i | 0.646805 | − | 0.762655i | \(-0.276105\pi\) |
−0.679131 | + | 0.734017i | \(0.737643\pi\) | |||||||
\(182\) | −1.33129 | − | 0.646888i | −0.0986815 | − | 0.0479506i | ||||
\(183\) | −18.0568 | + | 15.9970i | −1.33480 | + | 1.18253i | ||||
\(184\) | −3.71454 | − | 0.915553i | −0.273840 | − | 0.0674954i | ||||
\(185\) | −0.826786 | + | 0.732468i | −0.0607865 | + | 0.0538521i | ||||
\(186\) | −51.2566 | − | 12.6336i | −3.75832 | − | 0.926343i | ||||
\(187\) | −6.17640 | − | 16.2858i | −0.451663 | − | 1.19094i | ||||
\(188\) | 33.5312 | 2.44552 | ||||||||
\(189\) | −0.165174 | + | 0.435529i | −0.0120147 | + | 0.0316800i | ||||
\(190\) | −10.6836 | + | 2.63326i | −0.775066 | + | 0.191037i | ||||
\(191\) | 7.62088 | 0.551428 | 0.275714 | − | 0.961240i | \(-0.411086\pi\) | ||||
0.275714 | + | 0.961240i | \(0.411086\pi\) | |||||||
\(192\) | −68.2076 | −4.92246 | ||||||||
\(193\) | −14.4892 | + | 3.57126i | −1.04295 | + | 0.257065i | −0.723346 | − | 0.690485i | \(-0.757397\pi\) |
−0.319607 | + | 0.947550i | \(0.603551\pi\) | |||||||
\(194\) | 0.881769 | + | 7.26202i | 0.0633073 | + | 0.521382i | ||||
\(195\) | −0.964535 | − | 6.30349i | −0.0690718 | − | 0.451402i | ||||
\(196\) | −4.63825 | + | 38.1994i | −0.331303 | + | 2.72853i | ||||
\(197\) | −0.203270 | − | 1.67408i | −0.0144824 | − | 0.119273i | 0.983675 | − | 0.179956i | \(-0.0575954\pi\) |
−0.998157 | + | 0.0606824i | \(0.980672\pi\) | |||||||
\(198\) | 5.57461 | − | 8.07622i | 0.396170 | − | 0.573952i | ||||
\(199\) | 15.3803 | − | 13.6258i | 1.09028 | − | 0.965905i | 0.0907311 | − | 0.995875i | \(-0.471080\pi\) |
0.999551 | + | 0.0299699i | \(0.00954115\pi\) | |||||||
\(200\) | 5.00681 | − | 41.2348i | 0.354035 | − | 2.91574i | ||||
\(201\) | −2.08001 | − | 17.1304i | −0.146713 | − | 1.20829i | ||||
\(202\) | 35.4332 | + | 18.5968i | 2.49307 | + | 1.30847i | ||||
\(203\) | −0.465158 | + | 0.412094i | −0.0326477 | + | 0.0289233i | ||||
\(204\) | 50.0241 | + | 72.4724i | 3.50239 | + | 5.07408i | ||||
\(205\) | 1.47800 | + | 0.364293i | 0.103228 | + | 0.0254433i | ||||
\(206\) | −3.77446 | + | 31.0855i | −0.262979 | + | 2.16583i | ||||
\(207\) | −0.347400 | + | 0.503296i | −0.0241460 | + | 0.0349815i | ||||
\(208\) | 49.8881 | + | 24.2413i | 3.45912 | + | 1.68083i | ||||
\(209\) | 6.38472 | + | 9.24986i | 0.441640 | + | 0.639826i | ||||
\(210\) | 0.642881 | − | 0.337410i | 0.0443630 | − | 0.0232835i | ||||
\(211\) | −8.44004 | + | 22.2546i | −0.581036 | + | 1.53207i | 0.245624 | + | 0.969365i | \(0.421007\pi\) |
−0.826660 | + | 0.562702i | \(0.809762\pi\) | |||||||
\(212\) | 6.82149 | + | 56.1800i | 0.468502 | + | 3.85846i | ||||
\(213\) | 16.8247 | − | 24.3747i | 1.15281 | − | 1.67013i | ||||
\(214\) | −7.66521 | + | 1.88930i | −0.523983 | + | 0.129150i | ||||
\(215\) | −0.118719 | + | 0.171994i | −0.00809658 | + | 0.0117299i | ||||
\(216\) | 10.6275 | − | 28.0225i | 0.723113 | − | 1.90669i | ||||
\(217\) | −0.479926 | + | 1.26546i | −0.0325795 | + | 0.0859051i | ||||
\(218\) | 4.32739 | + | 2.27119i | 0.293088 | + | 0.153824i | ||||
\(219\) | 3.85271 | + | 2.02206i | 0.260342 | + | 0.136638i | ||||
\(220\) | 10.3299 | − | 2.54610i | 0.696445 | − | 0.171658i | ||||
\(221\) | −4.08692 | − | 26.7091i | −0.274916 | − | 1.79665i | ||||
\(222\) | −7.54724 | − | 1.86023i | −0.506537 | − | 0.124850i | ||||
\(223\) | −10.1018 | − | 8.94942i | −0.676467 | − | 0.599298i | 0.253326 | − | 0.967381i | \(-0.418476\pi\) |
−0.929793 | + | 0.368083i | \(0.880014\pi\) | |||||||
\(224\) | −0.413366 | + | 3.40438i | −0.0276192 | + | 0.227464i | ||||
\(225\) | −5.87935 | − | 3.08572i | −0.391957 | − | 0.205715i | ||||
\(226\) | −0.889693 | + | 0.466947i | −0.0591815 | + | 0.0310608i | ||||
\(227\) | 3.29021 | + | 8.67556i | 0.218379 | + | 0.575817i | 0.998776 | − | 0.0494669i | \(-0.0157522\pi\) |
−0.780397 | + | 0.625284i | \(0.784983\pi\) | |||||||
\(228\) | −42.5337 | − | 37.6815i | −2.81686 | − | 2.49552i | ||||
\(229\) | 0.689428 | + | 5.67795i | 0.0455587 | + | 0.375210i | 0.997600 | + | 0.0692401i | \(0.0220575\pi\) |
−0.952041 | + | 0.305969i | \(0.901019\pi\) | |||||||
\(230\) | −0.877205 | + | 0.216212i | −0.0578412 | + | 0.0142566i | ||||
\(231\) | −0.555115 | − | 0.491789i | −0.0365239 | − | 0.0323573i | ||||
\(232\) | 29.9289 | − | 26.5147i | 1.96493 | − | 1.74077i | ||||
\(233\) | −14.7828 | − | 7.75863i | −0.968455 | − | 0.508285i | −0.0951528 | − | 0.995463i | \(-0.530334\pi\) |
−0.873303 | + | 0.487178i | \(0.838026\pi\) | |||||||
\(234\) | 11.0764 | − | 10.4434i | 0.724087 | − | 0.682705i | ||||
\(235\) | 4.46872 | − | 2.34537i | 0.291507 | − | 0.152995i | ||||
\(236\) | −14.1272 | + | 37.2504i | −0.919603 | + | 2.42479i | ||||
\(237\) | 0.272361 | + | 2.24309i | 0.0176917 | + | 0.145704i | ||||
\(238\) | 2.72401 | − | 1.42967i | 0.176571 | − | 0.0926717i | ||||
\(239\) | 7.69811 | 0.497949 | 0.248975 | − | 0.968510i | \(-0.419906\pi\) | ||||
0.248975 | + | 0.968510i | \(0.419906\pi\) | |||||||
\(240\) | −24.0911 | + | 12.6440i | −1.55507 | + | 0.816165i | ||||
\(241\) | −3.37147 | + | 2.98686i | −0.217175 | + | 0.192401i | −0.764695 | − | 0.644392i | \(-0.777110\pi\) |
0.547520 | + | 0.836793i | \(0.315572\pi\) | |||||||
\(242\) | 8.71744 | + | 12.6294i | 0.560379 | + | 0.811848i | ||||
\(243\) | −10.9555 | − | 9.70569i | −0.702793 | − | 0.622620i | ||||
\(244\) | −35.4678 | − | 51.3839i | −2.27059 | − | 3.28952i | ||||
\(245\) | 2.05374 | + | 5.41528i | 0.131209 | + | 0.345969i | ||||
\(246\) | 3.79861 | + | 10.0161i | 0.242190 | + | 0.638603i | ||||
\(247\) | 6.68522 | + | 16.1031i | 0.425370 | + | 1.02462i | ||||
\(248\) | 30.8791 | − | 81.4216i | 1.96083 | − | 5.17027i | ||||
\(249\) | 7.40435 | 0.469232 | ||||||||
\(250\) | −7.51275 | − | 19.8095i | −0.475148 | − | 1.25286i | ||||
\(251\) | 2.18687 | − | 18.0105i | 0.138034 | − | 1.13681i | −0.744854 | − | 0.667227i | \(-0.767481\pi\) |
0.882888 | − | 0.469584i | \(-0.155596\pi\) | |||||||
\(252\) | 1.12628 | + | 0.591118i | 0.0709491 | + | 0.0372369i | ||||
\(253\) | 0.524237 | + | 0.759488i | 0.0329585 | + | 0.0477486i | ||||
\(254\) | −14.0398 | − | 20.3401i | −0.880933 | − | 1.27625i | ||||
\(255\) | 11.7359 | + | 6.15946i | 0.734929 | + | 0.385720i | ||||
\(256\) | 6.14465 | − | 50.6058i | 0.384041 | − | 3.16286i | ||||
\(257\) | −1.36561 | − | 3.60082i | −0.0851845 | − | 0.224613i | 0.885655 | − | 0.464344i | \(-0.153710\pi\) |
−0.970839 | + | 0.239731i | \(0.922941\pi\) | |||||||
\(258\) | −1.47069 | −0.0915615 | ||||||||
\(259\) | −0.0706662 | + | 0.186332i | −0.00439099 | + | 0.0115781i | ||||
\(260\) | 16.4964 | − | 0.511682i | 1.02307 | − | 0.0317332i | ||||
\(261\) | −2.26651 | − | 5.97630i | −0.140293 | − | 0.369923i | ||||
\(262\) | −8.91599 | − | 23.5095i | −0.550832 | − | 1.45242i | ||||
\(263\) | 3.27118 | + | 4.73913i | 0.201710 | + | 0.292227i | 0.910764 | − | 0.412927i | \(-0.135493\pi\) |
−0.709055 | + | 0.705154i | \(0.750878\pi\) | |||||||
\(264\) | 35.7169 | + | 31.6424i | 2.19822 | + | 1.94746i | ||||
\(265\) | 4.83865 | + | 7.01000i | 0.297236 | + | 0.430621i | ||||
\(266\) | −1.48591 | + | 1.31640i | −0.0911071 | + | 0.0807138i | ||||
\(267\) | −10.4480 | + | 5.48354i | −0.639408 | + | 0.335587i | ||||
\(268\) | 44.6621 | 2.72817 | ||||||||
\(269\) | −7.92266 | + | 4.15813i | −0.483053 | + | 0.253526i | −0.688627 | − | 0.725116i | \(-0.741786\pi\) |
0.205574 | + | 0.978642i | \(0.434094\pi\) | |||||||
\(270\) | −0.853106 | − | 7.02596i | −0.0519184 | − | 0.427587i | ||||
\(271\) | 6.69340 | − | 17.6490i | 0.406595 | − | 1.07210i | −0.562799 | − | 0.826593i | \(-0.690276\pi\) |
0.969394 | − | 0.245509i | \(-0.0789551\pi\) | |||||||
\(272\) | −102.079 | + | 53.5749i | −6.18942 | + | 3.24846i | ||||
\(273\) | −0.682587 | − | 0.926110i | −0.0413121 | − | 0.0560507i | ||||
\(274\) | −41.1377 | − | 21.5908i | −2.48522 | − | 1.30434i | ||||
\(275\) | −7.49994 | + | 6.64436i | −0.452263 | + | 0.400670i | ||||
\(276\) | −3.49235 | − | 3.09396i | −0.210215 | − | 0.186234i | ||||
\(277\) | −4.37358 | + | 1.07799i | −0.262783 | + | 0.0647703i | −0.368506 | − | 0.929625i | \(-0.620131\pi\) |
0.105723 | + | 0.994396i | \(0.466284\pi\) | |||||||
\(278\) | 0.747785 | + | 6.15856i | 0.0448492 | + | 0.369366i | ||||
\(279\) | −10.4193 | − | 9.23069i | −0.623787 | − | 0.552627i | ||||
\(280\) | 0.424689 | + | 1.11981i | 0.0253800 | + | 0.0669217i | ||||
\(281\) | −7.69793 | + | 4.04018i | −0.459220 | + | 0.241017i | −0.678437 | − | 0.734659i | \(-0.737342\pi\) |
0.219217 | + | 0.975676i | \(0.429650\pi\) | |||||||
\(282\) | 31.4473 | + | 16.5048i | 1.87266 | + | 0.982847i | ||||
\(283\) | 3.21640 | − | 26.4894i | 0.191195 | − | 1.57463i | −0.509055 | − | 0.860734i | \(-0.670005\pi\) |
0.700250 | − | 0.713898i | \(-0.253072\pi\) | |||||||
\(284\) | 57.3771 | + | 50.8317i | 3.40471 | + | 3.01631i | ||||
\(285\) | −8.30414 | − | 2.04679i | −0.491895 | − | 0.121241i | ||||
\(286\) | −8.80817 | − | 21.2168i | −0.520838 | − | 1.25457i | ||||
\(287\) | 0.266652 | − | 0.0657239i | 0.0157400 | − | 0.00387956i | ||||
\(288\) | −31.2315 | − | 16.3916i | −1.84034 | − | 0.965883i | ||||
\(289\) | 34.6744 | + | 18.1985i | 2.03967 | + | 1.07050i | ||||
\(290\) | 3.34837 | − | 8.82892i | 0.196623 | − | 0.518452i | ||||
\(291\) | −2.01632 | + | 5.31660i | −0.118199 | + | 0.311664i | ||||
\(292\) | −6.39720 | + | 9.26794i | −0.374368 | + | 0.542365i | ||||
\(293\) | −16.7820 | + | 4.13639i | −0.980415 | + | 0.241651i | −0.696782 | − | 0.717283i | \(-0.745386\pi\) |
−0.283632 | + | 0.958933i | \(0.591540\pi\) | |||||||
\(294\) | −23.1526 | + | 33.5423i | −1.35029 | + | 1.95623i | ||||
\(295\) | 0.722766 | + | 5.95251i | 0.0420811 | + | 0.346569i | ||||
\(296\) | 4.54677 | − | 11.9888i | 0.264275 | − | 0.696837i | ||||
\(297\) | −6.40136 | + | 3.35970i | −0.371445 | + | 0.194949i | ||||
\(298\) | 22.4646 | + | 32.5456i | 1.30134 | + | 1.88532i | ||||
\(299\) | 0.548910 | + | 1.32219i | 0.0317443 | + | 0.0764644i | ||||
\(300\) | 28.7772 | − | 41.6909i | 1.66145 | − | 2.40703i | ||||
\(301\) | −0.00454480 | + | 0.0374298i | −0.000261958 | + | 0.00215742i | ||||
\(302\) | 16.8717 | + | 4.15849i | 0.970855 | + | 0.239294i | ||||
\(303\) | 17.6694 | + | 25.5985i | 1.01508 | + | 1.47059i | ||||
\(304\) | 55.6825 | − | 49.3304i | 3.19361 | − | 2.82929i | ||||
\(305\) | −8.32089 | − | 4.36714i | −0.476453 | − | 0.250062i | ||||
\(306\) | 3.81392 | + | 31.4105i | 0.218027 | + | 1.79562i | ||||
\(307\) | 1.18177 | − | 9.73272i | 0.0674469 | − | 0.555476i | −0.919341 | − | 0.393461i | \(-0.871278\pi\) |
0.986788 | − | 0.162015i | \(-0.0517992\pi\) | |||||||
\(308\) | 1.43673 | − | 1.27283i | 0.0818653 | − | 0.0725263i | ||||
\(309\) | −13.8265 | + | 20.0312i | −0.786563 | + | 1.13953i | ||||
\(310\) | −2.47876 | − | 20.4145i | −0.140784 | − | 1.15946i | ||||
\(311\) | −0.541815 | + | 4.46225i | −0.0307235 | + | 0.253031i | 0.969252 | + | 0.246069i | \(0.0791391\pi\) |
−0.999976 | + | 0.00696175i | \(0.997784\pi\) | |||||||
\(312\) | 43.9187 | + | 59.5872i | 2.48640 | + | 3.37346i | ||||
\(313\) | 3.31513 | + | 27.3026i | 0.187382 | + | 1.54323i | 0.718255 | + | 0.695780i | \(0.244941\pi\) |
−0.530873 | + | 0.847452i | \(0.678136\pi\) | |||||||
\(314\) | −6.47824 | + | 1.59674i | −0.365588 | + | 0.0901094i | ||||
\(315\) | 0.191446 | 0.0107868 | ||||||||
\(316\) | −5.84813 | −0.328983 | ||||||||
\(317\) | −18.4364 | + | 4.54416i | −1.03549 | + | 0.255225i | −0.720198 | − | 0.693769i | \(-0.755949\pi\) |
−0.315293 | + | 0.948994i | \(0.602103\pi\) | |||||||
\(318\) | −21.2555 | + | 56.0461i | −1.19195 | + | 3.14291i | ||||
\(319\) | −9.64517 | −0.540026 | ||||||||
\(320\) | −9.42186 | − | 24.8434i | −0.526698 | − | 1.38879i | ||||
\(321\) | −5.95803 | − | 1.46852i | −0.332545 | − | 0.0819650i | ||||
\(322\) | −0.122005 | + | 0.108087i | −0.00679908 | + | 0.00602346i | ||||
\(323\) | −35.1862 | − | 8.67263i | −1.95781 | − | 0.482558i | ||||
\(324\) | 46.4321 | − | 41.1353i | 2.57956 | − | 2.28529i | ||||
\(325\) | −13.5327 | + | 7.64673i | −0.750658 | + | 0.424164i | ||||
\(326\) | 21.7065 | + | 19.2303i | 1.20221 | + | 1.06507i | ||||
\(327\) | 2.15792 | + | 3.12629i | 0.119334 | + | 0.172884i | ||||
\(328\) | −17.1568 | + | 4.22877i | −0.947325 | + | 0.233495i | ||||
\(329\) | 0.517233 | − | 0.749342i | 0.0285160 | − | 0.0413125i | ||||
\(330\) | 10.9412 | + | 2.69676i | 0.602293 | + | 0.148452i | ||||
\(331\) | −20.6936 | − | 5.10051i | −1.13742 | − | 0.280349i | −0.374744 | − | 0.927128i | \(-0.622269\pi\) |
−0.762677 | + | 0.646779i | \(0.776116\pi\) | |||||||
\(332\) | −2.30993 | + | 19.0240i | −0.126774 | + | 1.04408i | ||||
\(333\) | −1.53418 | − | 1.35916i | −0.0840725 | − | 0.0744817i | ||||
\(334\) | 3.40180 | + | 8.96982i | 0.186138 | + | 0.490807i | ||||
\(335\) | 5.95213 | − | 3.12392i | 0.325200 | − | 0.170678i | ||||
\(336\) | −2.78843 | + | 4.03974i | −0.152121 | + | 0.220386i | ||||
\(337\) | 3.53075 | 0.192332 | 0.0961660 | − | 0.995365i | \(-0.469342\pi\) | ||||
0.0961660 | + | 0.995365i | \(0.469342\pi\) | |||||||
\(338\) | −6.47985 | − | 35.0430i | −0.352458 | − | 1.90609i | ||||
\(339\) | −0.781002 | −0.0424182 | ||||||||
\(340\) | −19.4867 | + | 28.2314i | −1.05681 | + | 1.53106i | ||||
\(341\) | −18.5996 | + | 9.76184i | −1.00723 | + | 0.528634i | ||||
\(342\) | −7.24020 | − | 19.0908i | −0.391505 | − | 1.03231i | ||||
\(343\) | 1.56675 | + | 1.38802i | 0.0845965 | + | 0.0749459i | ||||
\(344\) | 0.292419 | − | 2.40828i | 0.0157662 | − | 0.129846i | ||||
\(345\) | −0.681837 | − | 0.168058i | −0.0367088 | − | 0.00904792i | ||||
\(346\) | −40.5478 | − | 9.99414i | −2.17986 | − | 0.537288i | ||||
\(347\) | 2.39386 | − | 3.46810i | 0.128509 | − | 0.186178i | −0.753448 | − | 0.657508i | \(-0.771611\pi\) |
0.881957 | + | 0.471330i | \(0.156226\pi\) | |||||||
\(348\) | 47.3472 | − | 11.6700i | 2.53807 | − | 0.625579i | ||||
\(349\) | 4.71206 | + | 6.82659i | 0.252231 | + | 0.365419i | 0.928561 | − | 0.371179i | \(-0.121046\pi\) |
−0.676331 | + | 0.736598i | \(0.736431\pi\) | |||||||
\(350\) | −1.32467 | − | 1.17356i | −0.0708067 | − | 0.0627293i | ||||
\(351\) | −10.8007 | + | 3.02023i | −0.576498 | + | 0.161208i | ||||
\(352\) | −39.8402 | + | 35.2953i | −2.12349 | + | 1.88125i | ||||
\(353\) | 22.0862 | + | 5.44375i | 1.17553 | + | 0.289741i | 0.778249 | − | 0.627956i | \(-0.216108\pi\) |
0.397279 | + | 0.917698i | \(0.369955\pi\) | |||||||
\(354\) | −31.5847 | + | 27.9816i | −1.67871 | + | 1.48720i | ||||
\(355\) | 11.2021 | + | 2.76108i | 0.594548 | + | 0.146543i | ||||
\(356\) | −10.8294 | − | 28.5547i | −0.573956 | − | 1.51340i | ||||
\(357\) | 2.39123 | 0.126557 | ||||||||
\(358\) | −12.9235 | + | 34.0766i | −0.683031 | + | 1.80100i | ||||
\(359\) | 16.0009 | − | 3.94388i | 0.844498 | − | 0.208150i | 0.206749 | − | 0.978394i | \(-0.433712\pi\) |
0.637749 | + | 0.770244i | \(0.279866\pi\) | |||||||
\(360\) | −12.3179 | −0.649212 | ||||||||
\(361\) | 4.38476 | 0.230777 | ||||||||
\(362\) | 1.54648 | − | 0.381172i | 0.0812810 | − | 0.0200340i | ||||
\(363\) | 1.43777 | + | 11.8411i | 0.0754634 | + | 0.621497i | ||||
\(364\) | 2.59240 | − | 1.46485i | 0.135878 | − | 0.0767791i | ||||
\(365\) | −0.204304 | + | 1.68260i | −0.0106938 | + | 0.0880713i | ||||
\(366\) | −7.97117 | − | 65.6485i | −0.416660 | − | 3.43150i | ||||
\(367\) | 4.26193 | − | 6.17448i | 0.222471 | − | 0.322305i | −0.695816 | − | 0.718220i | \(-0.744957\pi\) |
0.918287 | + | 0.395915i | \(0.129573\pi\) | |||||||
\(368\) | 4.57198 | − | 4.05042i | 0.238331 | − | 0.211143i | ||||
\(369\) | −0.340473 | + | 2.80404i | −0.0177243 | + | 0.145973i | ||||
\(370\) | −0.364983 | − | 3.00591i | −0.0189746 | − | 0.156270i | ||||
\(371\) | 1.36071 | + | 0.714157i | 0.0706446 | + | 0.0370772i | ||||
\(372\) | 79.4925 | − | 70.4242i | 4.12150 | − | 3.65133i | ||||
\(373\) | 6.26347 | + | 9.07421i | 0.324310 | + | 0.469845i | 0.950897 | − | 0.309507i | \(-0.100164\pi\) |
−0.626587 | + | 0.779352i | \(0.715549\pi\) | |||||||
\(374\) | 46.3599 | + | 11.4267i | 2.39721 | + | 0.590860i | ||||
\(375\) | 1.98496 | − | 16.3476i | 0.102503 | − | 0.844189i | ||||
\(376\) | −33.2795 | + | 48.2137i | −1.71626 | + | 2.48643i | ||||
\(377\) | −14.6317 | − | 3.12864i | −0.753573 | − | 0.161133i | ||||
\(378\) | −0.725361 | − | 1.05087i | −0.0373085 | − | 0.0540508i | ||||
\(379\) | −19.6954 | + | 10.3369i | −1.01168 | + | 0.530973i | −0.887266 | − | 0.461257i | \(-0.847399\pi\) |
−0.124418 | + | 0.992230i | \(0.539706\pi\) | |||||||
\(380\) | 7.84944 | − | 20.6973i | 0.402668 | − | 1.06175i | ||||
\(381\) | −2.31558 | − | 19.0705i | −0.118631 | − | 0.977014i | ||||
\(382\) | −11.8676 | + | 17.1932i | −0.607198 | + | 0.879678i | ||||
\(383\) | 34.1920 | − | 8.42758i | 1.74713 | − | 0.430629i | 0.769107 | − | 0.639119i | \(-0.220701\pi\) |
0.978024 | + | 0.208490i | \(0.0668549\pi\) | |||||||
\(384\) | 50.7774 | − | 73.5638i | 2.59122 | − | 3.75404i | ||||
\(385\) | 0.102445 | − | 0.270124i | 0.00522106 | − | 0.0137668i | ||||
\(386\) | 14.5062 | − | 38.2497i | 0.738347 | − | 1.94686i | ||||
\(387\) | −0.343378 | − | 0.180219i | −0.0174549 | − | 0.00916104i | ||||
\(388\) | −13.0309 | − | 6.83913i | −0.661543 | − | 0.347204i | ||||
\(389\) | 26.8627 | − | 6.62106i | 1.36199 | − | 0.335701i | 0.510415 | − | 0.859929i | \(-0.329492\pi\) |
0.851578 | + | 0.524227i | \(0.175646\pi\) | |||||||
\(390\) | 15.7231 | + | 7.64003i | 0.796168 | + | 0.386868i | ||||
\(391\) | −2.88907 | − | 0.712092i | −0.146107 | − | 0.0360120i | ||||
\(392\) | −50.3226 | − | 44.5819i | −2.54167 | − | 2.25173i | ||||
\(393\) | 2.35572 | − | 19.4011i | 0.118830 | − | 0.978656i | ||||
\(394\) | 4.09336 | + | 2.14836i | 0.206220 | + | 0.108233i | ||||
\(395\) | −0.779383 | + | 0.409052i | −0.0392150 | + | 0.0205816i | ||||
\(396\) | 7.00056 | + | 18.4590i | 0.351791 | + | 0.927598i | ||||
\(397\) | −2.99744 | − | 2.65550i | −0.150437 | − | 0.133276i | 0.584547 | − | 0.811360i | \(-0.301272\pi\) |
−0.734985 | + | 0.678084i | \(0.762811\pi\) | |||||||
\(398\) | 6.78962 | + | 55.9175i | 0.340333 | + | 2.80289i | ||||
\(399\) | −1.49819 | + | 0.369271i | −0.0750034 | + | 0.0184867i | ||||
\(400\) | 49.6403 | + | 43.9775i | 2.48202 | + | 2.19887i | ||||
\(401\) | −13.9406 | + | 12.3503i | −0.696162 | + | 0.616746i | −0.935140 | − | 0.354279i | \(-0.884726\pi\) |
0.238978 | + | 0.971025i | \(0.423188\pi\) | |||||||
\(402\) | 41.8864 | + | 21.9837i | 2.08910 | + | 1.09644i | ||||
\(403\) | −31.3822 | + | 8.77551i | −1.56326 | + | 0.437139i | ||||
\(404\) | −71.2824 | + | 37.4119i | −3.54643 | + | 1.86131i | ||||
\(405\) | 3.31079 | − | 8.72984i | 0.164515 | − | 0.433789i | ||||
\(406\) | −0.205343 | − | 1.69115i | −0.0101910 | − | 0.0839305i | ||||
\(407\) | −2.73869 | + | 1.43737i | −0.135752 | + | 0.0712480i | ||||
\(408\) | −153.855 | −7.61695 | ||||||||
\(409\) | 34.0539 | − | 17.8729i | 1.68386 | − | 0.883757i | 0.698016 | − | 0.716082i | \(-0.254066\pi\) |
0.985842 | − | 0.167675i | \(-0.0536258\pi\) | |||||||
\(410\) | −3.12347 | + | 2.76715i | −0.154257 | + | 0.136660i | ||||
\(411\) | −20.5140 | − | 29.7197i | −1.01188 | − | 1.46596i | ||||
\(412\) | −47.1526 | − | 41.7735i | −2.32304 | − | 2.05803i | ||||
\(413\) | 0.614538 | + | 0.890312i | 0.0302394 | + | 0.0438094i | ||||
\(414\) | −0.594478 | − | 1.56751i | −0.0292170 | − | 0.0770389i | ||||
\(415\) | 1.02280 | + | 2.69690i | 0.0502073 | + | 0.132386i | ||||
\(416\) | −71.8866 | + | 40.6200i | −3.52453 | + | 1.99156i | ||||
\(417\) | −1.70994 | + | 4.50875i | −0.0837362 | + | 0.220794i | ||||
\(418\) | −30.8108 | −1.50701 | ||||||||
\(419\) | 7.77502 | + | 20.5010i | 0.379835 | + | 1.00154i | 0.979527 | + | 0.201311i | \(0.0645203\pi\) |
−0.599693 | + | 0.800230i | \(0.704710\pi\) | |||||||
\(420\) | −0.176057 | + | 1.44996i | −0.00859072 | + | 0.0707509i | ||||
\(421\) | 20.9508 | + | 10.9958i | 1.02108 | + | 0.535903i | 0.890236 | − | 0.455500i | \(-0.150540\pi\) |
0.130842 | + | 0.991403i | \(0.458232\pi\) | |||||||
\(422\) | −37.0644 | − | 53.6970i | −1.80426 | − | 2.61393i | ||||
\(423\) | 5.31982 | + | 7.70710i | 0.258659 | + | 0.374732i | ||||
\(424\) | −87.5501 | − | 45.9499i | −4.25181 | − | 2.23152i | ||||
\(425\) | 3.89417 | − | 32.0713i | 0.188895 | − | 1.55569i | ||||
\(426\) | 28.7907 | + | 75.9148i | 1.39491 | + | 3.67809i | ||||
\(427\) | −1.69541 | −0.0820467 | ||||||||
\(428\) | 5.63179 | − | 14.8498i | 0.272223 | − | 0.717793i | ||||
\(429\) | 1.60173 | − | 17.7841i | 0.0773322 | − | 0.858626i | ||||
\(430\) | −0.203154 | − | 0.535674i | −0.00979698 | − | 0.0258325i | ||||
\(431\) | −0.347675 | − | 0.916743i | −0.0167469 | − | 0.0441579i | 0.926382 | − | 0.376585i | \(-0.122902\pi\) |
−0.943129 | + | 0.332427i | \(0.892132\pi\) | |||||||
\(432\) | 27.1819 | + | 39.3798i | 1.30779 | + | 1.89466i | ||||
\(433\) | −23.6258 | − | 20.9306i | −1.13538 | − | 1.00586i | −0.999886 | − | 0.0150823i | \(-0.995199\pi\) |
−0.135495 | − | 0.990778i | \(-0.543263\pi\) | |||||||
\(434\) | −2.10759 | − | 3.05337i | −0.101168 | − | 0.146567i | ||||
\(435\) | 5.49371 | − | 4.86700i | 0.263403 | − | 0.233355i | ||||
\(436\) | −8.70558 | + | 4.56904i | −0.416922 | + | 0.218817i | ||||
\(437\) | 1.92008 | 0.0918497 | ||||||||
\(438\) | −10.5615 | + | 5.54310i | −0.504648 | + | 0.264860i | ||||
\(439\) | 0.196796 | + | 1.62076i | 0.00939255 | + | 0.0773546i | 0.996651 | − | 0.0817678i | \(-0.0260566\pi\) |
−0.987259 | + | 0.159122i | \(0.949134\pi\) | |||||||
\(440\) | −6.59143 | + | 17.3802i | −0.314234 | + | 0.828567i | ||||
\(441\) | −9.51594 | + | 4.99435i | −0.453140 | + | 0.237826i | ||||
\(442\) | 66.6216 | + | 32.3723i | 3.16887 | + | 1.53979i | ||||
\(443\) | 20.2970 | + | 10.6527i | 0.964340 | + | 0.506125i | 0.871948 | − | 0.489598i | \(-0.162856\pi\) |
0.0923918 | + | 0.995723i | \(0.470549\pi\) | |||||||
\(444\) | 11.7048 | − | 10.3695i | 0.555485 | − | 0.492117i | ||||
\(445\) | −3.44052 | − | 3.04803i | −0.163096 | − | 0.144491i | ||||
\(446\) | 35.9214 | − | 8.85383i | 1.70093 | − | 0.419241i | ||||
\(447\) | 3.70510 | + | 30.5142i | 0.175245 | + | 1.44327i | ||||
\(448\) | −3.58808 | − | 3.17876i | −0.169521 | − | 0.150183i | ||||
\(449\) | −13.2843 | − | 35.0277i | −0.626924 | − | 1.65306i | −0.750614 | − | 0.660741i | \(-0.770242\pi\) |
0.123691 | − | 0.992321i | \(-0.460527\pi\) | |||||||
\(450\) | 16.1171 | − | 8.45893i | 0.759770 | − | 0.398758i | ||||
\(451\) | 3.77422 | + | 1.98086i | 0.177721 | + | 0.0932752i | ||||
\(452\) | 0.243649 | − | 2.00663i | 0.0114603 | − | 0.0943837i | ||||
\(453\) | 10.1098 | + | 8.95649i | 0.474999 | + | 0.420813i | ||||
\(454\) | −24.6962 | − | 6.08707i | −1.15905 | − | 0.285681i | ||||
\(455\) | 0.243030 | − | 0.376548i | 0.0113934 | − | 0.0176529i | ||||
\(456\) | 96.3958 | − | 23.7594i | 4.51414 | − | 1.11264i | ||||
\(457\) | 20.6764 | + | 10.8518i | 0.967199 | + | 0.507625i | 0.872890 | − | 0.487918i | \(-0.162243\pi\) |
0.0943094 | + | 0.995543i | \(0.469936\pi\) | |||||||
\(458\) | −13.8834 | − | 7.28657i | −0.648728 | − | 0.340479i | ||||
\(459\) | 8.26582 | − | 21.7952i | 0.385815 | − | 1.01731i | ||||
\(460\) | 0.644502 | − | 1.69941i | 0.0300500 | − | 0.0792354i | ||||
\(461\) | 6.81226 | − | 9.86926i | 0.317278 | − | 0.459657i | −0.631602 | − | 0.775293i | \(-0.717602\pi\) |
0.948880 | + | 0.315636i | \(0.102218\pi\) | |||||||
\(462\) | 1.97395 | − | 0.486536i | 0.0918367 | − | 0.0226357i | ||||
\(463\) | 16.3870 | − | 23.7407i | 0.761570 | − | 1.10333i | −0.229928 | − | 0.973208i | \(-0.573849\pi\) |
0.991499 | − | 0.130118i | \(-0.0415355\pi\) | |||||||
\(464\) | 7.69496 | + | 63.3737i | 0.357229 | + | 2.94205i | ||||
\(465\) | 5.66813 | − | 14.9456i | 0.262853 | − | 0.693087i | ||||
\(466\) | 40.5244 | − | 21.2688i | 1.87726 | − | 0.985260i | ||||
\(467\) | −16.6690 | − | 24.1492i | −0.771348 | − | 1.11749i | −0.989914 | − | 0.141668i | \(-0.954753\pi\) |
0.218566 | − | 0.975822i | \(-0.429862\pi\) | |||||||
\(468\) | 4.63226 | + | 30.2731i | 0.214127 | + | 1.39937i | ||||
\(469\) | 0.688931 | − | 0.998089i | 0.0318119 | − | 0.0460875i | ||||
\(470\) | −1.66761 | + | 13.7340i | −0.0769211 | + | 0.633502i | ||||
\(471\) | −5.03543 | − | 1.24112i | −0.232020 | − | 0.0571878i | ||||
\(472\) | −39.5403 | − | 57.2840i | −1.81999 | − | 2.63671i | ||||
\(473\) | −0.438027 | + | 0.388058i | −0.0201405 | + | 0.0178429i | ||||
\(474\) | −5.48467 | − | 2.87858i | −0.251919 | − | 0.132218i | ||||
\(475\) | 2.51286 | + | 20.6952i | 0.115298 | + | 0.949563i | ||||
\(476\) | −0.745988 | + | 6.14377i | −0.0341923 | + | 0.281599i | ||||
\(477\) | −11.8306 | + | 10.4810i | −0.541688 | + | 0.479893i | ||||
\(478\) | −11.9878 | + | 17.3674i | −0.548311 | + | 0.794365i | ||||
\(479\) | −3.50884 | − | 28.8979i | −0.160323 | − | 1.32038i | −0.821526 | − | 0.570171i | \(-0.806877\pi\) |
0.661203 | − | 0.750207i | \(-0.270046\pi\) | |||||||
\(480\) | 4.88203 | − | 40.2071i | 0.222833 | − | 1.83520i | ||||
\(481\) | −4.62084 | + | 1.29214i | −0.210692 | + | 0.0589166i | ||||
\(482\) | −1.48833 | − | 12.2575i | −0.0677916 | − | 0.558314i | ||||
\(483\) | −0.123013 | + | 0.0303201i | −0.00559731 | + | 0.00137961i | ||||
\(484\) | −30.8718 | −1.40327 | ||||||||
\(485\) | −2.21500 | −0.100578 | ||||||||
\(486\) | 38.9569 | − | 9.60202i | 1.76712 | − | 0.435557i | ||||
\(487\) | −4.11457 | + | 10.8492i | −0.186449 | + | 0.491625i | −0.995351 | − | 0.0963187i | \(-0.969293\pi\) |
0.808902 | + | 0.587944i | \(0.200062\pi\) | |||||||
\(488\) | 109.085 | 4.93806 | ||||||||
\(489\) | 7.99311 | + | 21.0761i | 0.361461 | + | 0.953095i | ||||
\(490\) | −15.4154 | − | 3.79954i | −0.696395 | − | 0.171646i | ||||
\(491\) | −29.3736 | + | 26.0227i | −1.32561 | + | 1.17439i | −0.354692 | + | 0.934983i | \(0.615414\pi\) |
−0.970919 | + | 0.239406i | \(0.923047\pi\) | |||||||
\(492\) | −20.9240 | − | 5.15730i | −0.943326 | − | 0.232509i | ||||
\(493\) | 23.2779 | − | 20.6224i | 1.04838 | − | 0.928787i | ||||
\(494\) | −46.7400 | − | 9.99421i | −2.10293 | − | 0.449661i | ||||
\(495\) | 2.22409 | + | 1.97037i | 0.0999656 | + | 0.0885618i | ||||
\(496\) | 78.9791 | + | 114.421i | 3.54627 | + | 5.13765i | ||||
\(497\) | 2.02103 | − | 0.498140i | 0.0906557 | − | 0.0223446i | ||||
\(498\) | −11.5304 | + | 16.7046i | −0.516689 | + | 0.748553i | ||||
\(499\) | 9.46133 | + | 2.33201i | 0.423547 | + | 0.104395i | 0.445328 | − | 0.895368i | \(-0.353087\pi\) |
−0.0217802 | + | 0.999763i | \(0.506933\pi\) | |||||||
\(500\) | 41.3827 | + | 10.1999i | 1.85069 | + | 0.456154i | ||||
\(501\) | −0.898800 | + | 7.40228i | −0.0401554 | + | 0.330710i | ||||
\(502\) | 37.2272 | + | 32.9804i | 1.66153 | + | 1.47199i | ||||
\(503\) | 9.23093 | + | 24.3400i | 0.411587 | + | 1.08527i | 0.967243 | + | 0.253853i | \(0.0816980\pi\) |
−0.555656 | + | 0.831412i | \(0.687533\pi\) | |||||||
\(504\) | −1.96778 | + | 1.03277i | −0.0876520 | + | 0.0460033i | ||||
\(505\) | −6.88303 | + | 9.97179i | −0.306291 | + | 0.443739i | ||||
\(506\) | −2.52981 | −0.112464 | ||||||||
\(507\) | 8.19853 | − | 26.4590i | 0.364110 | − | 1.17509i | ||||
\(508\) | 49.7203 | 2.20598 | ||||||||
\(509\) | 8.24859 | − | 11.9501i | 0.365612 | − | 0.529681i | −0.596400 | − | 0.802688i | \(-0.703403\pi\) |
0.962012 | + | 0.273006i | \(0.0880181\pi\) | |||||||
\(510\) | −32.1717 | + | 16.8850i | −1.42459 | + | 0.747681i | ||||
\(511\) | 0.108437 | + | 0.285924i | 0.00479695 | + | 0.0126485i | ||||
\(512\) | 41.8004 | + | 37.0319i | 1.84733 | + | 1.63660i | ||||
\(513\) | −1.81307 | + | 14.9319i | −0.0800488 | + | 0.659261i | ||||
\(514\) | 10.2502 | + | 2.52646i | 0.452119 | + | 0.111437i | ||||
\(515\) | −9.20592 | − | 2.26906i | −0.405661 | − | 0.0999866i | ||||
\(516\) | 1.68071 | − | 2.43492i | 0.0739890 | − | 0.107192i | ||||
\(517\) | 13.7211 | − | 3.38195i | 0.603455 | − | 0.148738i | ||||
\(518\) | −0.310330 | − | 0.449591i | −0.0136351 | − | 0.0197539i | ||||
\(519\) | −24.2969 | − | 21.5252i | −1.06652 | − | 0.944852i | ||||
\(520\) | −15.6369 | + | 24.2277i | −0.685722 | + | 1.06245i | ||||
\(521\) | −0.134622 | + | 0.119265i | −0.00589791 | + | 0.00522509i | −0.666066 | − | 0.745892i | \(-0.732023\pi\) |
0.660169 | + | 0.751117i | \(0.270485\pi\) | |||||||
\(522\) | 17.0124 | + | 4.19317i | 0.744611 | + | 0.183530i | ||||
\(523\) | 27.2051 | − | 24.1016i | 1.18960 | − | 1.05389i | 0.192231 | − | 0.981350i | \(-0.438428\pi\) |
0.997365 | − | 0.0725411i | \(-0.0231109\pi\) | |||||||
\(524\) | 49.1122 | + | 12.1051i | 2.14548 | + | 0.528813i | ||||
\(525\) | −0.487792 | − | 1.28620i | −0.0212890 | − | 0.0561344i | ||||
\(526\) | −15.7858 | −0.688293 | ||||||||
\(527\) | 24.0169 | − | 63.3275i | 1.04619 | − | 2.75859i | ||||
\(528\) | −73.9713 | + | 18.2323i | −3.21919 | + | 0.793458i | ||||
\(529\) | −22.8423 | −0.993145 | ||||||||
\(530\) | −23.3499 | −1.01426 | ||||||||
\(531\) | −10.8033 | + | 2.66277i | −0.468822 | + | 0.115554i | ||||
\(532\) | −0.481377 | − | 3.96450i | −0.0208703 | − | 0.171883i | ||||
\(533\) | 5.08296 | + | 4.22923i | 0.220167 | + | 0.183188i | ||||
\(534\) | 3.89892 | − | 32.1105i | 0.168723 | − | 1.38956i | ||||
\(535\) | −0.288130 | − | 2.37296i | −0.0124569 | − | 0.102592i | ||||
\(536\) | −44.3268 | + | 64.2185i | −1.91463 | + | 2.77382i | ||||
\(537\) | −21.2038 | + | 18.7849i | −0.915012 | + | 0.810630i | ||||
\(538\) | 2.95653 | − | 24.3492i | 0.127465 | − | 1.04977i | ||||
\(539\) | 1.95480 | + | 16.0992i | 0.0841990 | + | 0.693441i | ||||
\(540\) | 12.6073 | + | 6.61682i | 0.542532 | + | 0.284743i | ||||
\(541\) | −31.3245 | + | 27.7511i | −1.34675 | + | 1.19311i | −0.383802 | + | 0.923415i | \(0.625386\pi\) |
−0.962945 | + | 0.269698i | \(0.913076\pi\) | |||||||
\(542\) | 29.3940 | + | 42.5845i | 1.26258 | + | 1.82916i | ||||
\(543\) | 1.20205 | + | 0.296279i | 0.0515849 | + | 0.0127145i | ||||
\(544\) | 20.6861 | − | 170.365i | 0.886909 | − | 7.30435i | ||||
\(545\) | −0.840611 | + | 1.21784i | −0.0360078 | + | 0.0521664i | ||||
\(546\) | 3.15231 | − | 0.0977775i | 0.134907 | − | 0.00418449i | ||||
\(547\) | −17.2970 | − | 25.0590i | −0.739565 | − | 1.07145i | −0.994526 | − | 0.104494i | \(-0.966678\pi\) |
0.254960 | − | 0.966952i | \(-0.417938\pi\) | |||||||
\(548\) | 82.7583 | − | 43.4349i | 3.53526 | − | 1.85545i | ||||
\(549\) | 6.18345 | − | 16.3044i | 0.263903 | − | 0.695856i | ||||
\(550\) | −3.31084 | − | 27.2672i | −0.141175 | − | 1.16268i | ||||
\(551\) | −11.3998 | + | 16.5154i | −0.485647 | + | 0.703582i | ||||
\(552\) | 7.91486 | − | 1.95084i | 0.336879 | − | 0.0830332i | ||||
\(553\) | −0.0902099 | + | 0.130692i | −0.00383612 | + | 0.00555757i | ||||
\(554\) | 4.37873 | − | 11.5458i | 0.186034 | − | 0.490532i | ||||
\(555\) | 0.834599 | − | 2.20066i | 0.0354267 | − | 0.0934126i | ||||
\(556\) | −11.0509 | − | 5.79994i | −0.468661 | − | 0.245972i | ||||
\(557\) | 19.7792 | + | 10.3809i | 0.838071 | + | 0.439854i | 0.828425 | − | 0.560100i | \(-0.189237\pi\) |
0.00964615 | + | 0.999953i | \(0.496929\pi\) | |||||||
\(558\) | 37.0504 | − | 9.13209i | 1.56847 | − | 0.386592i | ||||
\(559\) | −0.790364 | + | 0.446601i | −0.0334288 | + | 0.0188892i | ||||
\(560\) | −1.85658 | − | 0.457606i | −0.0784549 | − | 0.0193374i | ||||
\(561\) | 27.7796 | + | 24.6106i | 1.17286 | + | 1.03906i | ||||
\(562\) | 2.87266 | − | 23.6585i | 0.121176 | − | 0.997975i | ||||
\(563\) | −2.45956 | − | 1.29088i | −0.103658 | − | 0.0544039i | 0.412097 | − | 0.911140i | \(-0.364796\pi\) |
−0.515755 | + | 0.856736i | \(0.672489\pi\) | |||||||
\(564\) | −63.2637 | + | 33.2033i | −2.66388 | + | 1.39811i | ||||
\(565\) | −0.107884 | − | 0.284466i | −0.00453870 | − | 0.0119676i | ||||
\(566\) | 54.7529 | + | 48.5069i | 2.30144 | + | 2.03890i | ||||
\(567\) | −0.203039 | − | 1.67217i | −0.00852682 | − | 0.0702247i | ||||
\(568\) | −130.036 | + | 32.0510i | −5.45619 | + | 1.34483i | ||||
\(569\) | −20.6238 | − | 18.2711i | −0.864596 | − | 0.765965i | 0.109048 | − | 0.994036i | \(-0.465220\pi\) |
−0.973645 | + | 0.228071i | \(0.926758\pi\) | |||||||
\(570\) | 17.5492 | − | 15.5473i | 0.735057 | − | 0.651204i | ||||
\(571\) | −14.4914 | − | 7.60566i | −0.606445 | − | 0.318287i | 0.133402 | − | 0.991062i | \(-0.457410\pi\) |
−0.739847 | + | 0.672775i | \(0.765102\pi\) | |||||||
\(572\) | 45.1930 | + | 9.66342i | 1.88962 | + | 0.404048i | ||||
\(573\) | −14.3784 | + | 7.54636i | −0.600666 | + | 0.315254i | ||||
\(574\) | −0.266966 | + | 0.703931i | −0.0111429 | + | 0.0293815i | ||||
\(575\) | 0.206326 | + | 1.69924i | 0.00860437 | + | 0.0708634i | ||||
\(576\) | 43.6558 | − | 22.9124i | 1.81899 | − | 0.954681i | ||||
\(577\) | 25.9049 | 1.07843 | 0.539217 | − | 0.842167i | \(-0.318720\pi\) | ||||
0.539217 | + | 0.842167i | \(0.318720\pi\) | |||||||
\(578\) | −95.0533 | + | 49.8878i | −3.95370 | + | 2.07506i | ||||
\(579\) | 23.8005 | − | 21.0854i | 0.989116 | − | 0.876280i | ||||
\(580\) | 10.7909 | + | 15.6333i | 0.448068 | + | 0.649138i | ||||
\(581\) | 0.389508 | + | 0.345074i | 0.0161595 | + | 0.0143161i | ||||
\(582\) | −8.85465 | − | 12.8282i | −0.367037 | − | 0.531745i | ||||
\(583\) | 8.45769 | + | 22.3011i | 0.350282 | + | 0.923617i | ||||
\(584\) | −6.97697 | − | 18.3967i | −0.288709 | − | 0.761263i | ||||
\(585\) | 2.73482 | + | 3.71050i | 0.113071 | + | 0.153410i | ||||
\(586\) | 16.8017 | − | 44.3025i | 0.694073 | − | 1.83012i | ||||
\(587\) | −3.55521 | −0.146739 | −0.0733695 | − | 0.997305i | \(-0.523375\pi\) | ||||
−0.0733695 | + | 0.997305i | \(0.523375\pi\) | |||||||
\(588\) | −29.0748 | − | 76.6641i | −1.19903 | − | 3.16157i | ||||
\(589\) | −5.26800 | + | 43.3859i | −0.217064 | + | 1.78768i | ||||
\(590\) | −14.5547 | − | 7.63892i | −0.599209 | − | 0.314489i | ||||
\(591\) | 2.04122 | + | 2.95722i | 0.0839645 | + | 0.121644i | ||||
\(592\) | 11.6292 | + | 16.8478i | 0.477957 | + | 0.692441i | ||||
\(593\) | −4.86838 | − | 2.55512i | −0.199920 | − | 0.104926i | 0.361792 | − | 0.932259i | \(-0.382165\pi\) |
−0.561713 | + | 0.827332i | \(0.689857\pi\) | |||||||
\(594\) | 2.38882 | − | 19.6737i | 0.0980145 | − | 0.807222i | ||||
\(595\) | 0.330312 | + | 0.870961i | 0.0135415 | + | 0.0357059i | ||||
\(596\) | −79.5560 | −3.25874 | ||||||||
\(597\) | −15.5257 | + | 40.9378i | −0.635423 | + | 1.67547i | ||||
\(598\) | −3.83773 | − | 0.820604i | −0.156936 | − | 0.0335570i | ||||
\(599\) | 9.39088 | + | 24.7617i | 0.383701 | + | 1.01174i | 0.978205 | + | 0.207643i | \(0.0665794\pi\) |
−0.594504 | + | 0.804093i | \(0.702651\pi\) | |||||||
\(600\) | 31.3852 | + | 82.7560i | 1.28130 | + | 3.37850i | ||||
\(601\) | −6.56145 | − | 9.50591i | −0.267647 | − | 0.387754i | 0.665998 | − | 0.745954i | \(-0.268006\pi\) |
−0.933645 | + | 0.358200i | \(0.883391\pi\) | |||||||
\(602\) | −0.0773663 | − | 0.0685406i | −0.00315322 | − | 0.00279351i | ||||
\(603\) | 7.08577 | + | 10.2655i | 0.288555 | + | 0.418044i | ||||
\(604\) | −26.1658 | + | 23.1809i | −1.06467 | + | 0.943217i | ||||
\(605\) | −4.11431 | + | 2.15935i | −0.167270 | + | 0.0877902i | ||||
\(606\) | −85.2671 | −3.46374 | ||||||||
\(607\) | −3.46802 | + | 1.82016i | −0.140763 | + | 0.0738779i | −0.533634 | − | 0.845715i | \(-0.679174\pi\) |
0.392871 | + | 0.919593i | \(0.371482\pi\) | |||||||
\(608\) | 13.3485 | + | 109.935i | 0.541352 | + | 4.45844i | ||||
\(609\) | 0.469553 | − | 1.23811i | 0.0190273 | − | 0.0501707i | ||||
\(610\) | 22.8102 | − | 11.9717i | 0.923557 | − | 0.484720i | ||||
\(611\) | 21.9120 | − | 0.679660i | 0.886464 | − | 0.0274961i | ||||
\(612\) | −56.3626 | − | 29.5813i | −2.27832 | − | 1.19576i | ||||
\(613\) | −7.53170 | + | 6.67251i | −0.304203 | + | 0.269500i | −0.801389 | − | 0.598144i | \(-0.795905\pi\) |
0.497186 | + | 0.867644i | \(0.334367\pi\) | |||||||
\(614\) | 20.1173 | + | 17.8224i | 0.811867 | + | 0.719252i | ||||
\(615\) | −3.14928 | + | 0.776227i | −0.126991 | + | 0.0313005i | ||||
\(616\) | 0.404228 | + | 3.32912i | 0.0162868 | + | 0.134134i | ||||
\(617\) | 0.857525 | + | 0.759701i | 0.0345226 | + | 0.0305844i | 0.680208 | − | 0.733019i | \(-0.261890\pi\) |
−0.645685 | + | 0.763604i | \(0.723428\pi\) | |||||||
\(618\) | −23.6602 | − | 62.3869i | −0.951753 | − | 2.50957i | ||||
\(619\) | 26.6766 | − | 14.0010i | 1.07222 | − | 0.562747i | 0.166252 | − | 0.986083i | \(-0.446834\pi\) |
0.905972 | + | 0.423337i | \(0.139141\pi\) | |||||||
\(620\) | 36.6315 | + | 19.2257i | 1.47116 | + | 0.772122i | ||||
\(621\) | −0.148867 | + | 1.22603i | −0.00597384 | + | 0.0491990i | ||||
\(622\) | −9.22336 | − | 8.17118i | −0.369823 | − | 0.327635i | ||||
\(623\) | −0.805177 | − | 0.198458i | −0.0322587 | − | 0.00795106i | ||||
\(624\) | −118.129 | + | 3.66408i | −4.72893 | + | 0.146681i | ||||
\(625\) | −14.7003 | + | 3.62330i | −0.588013 | + | 0.144932i | ||||
\(626\) | −66.7586 | − | 35.0376i | −2.66821 | − | 1.40038i | ||||
\(627\) | −21.2055 | − | 11.1295i | −0.846867 | − | 0.444470i | ||||
\(628\) | 4.75970 | − | 12.5503i | 0.189933 | − | 0.500812i | ||||
\(629\) | 3.53635 | − | 9.32460i | 0.141004 | − | 0.371796i | ||||
\(630\) | −0.298129 | + | 0.431914i | −0.0118777 | + | 0.0172079i | ||||
\(631\) | 37.3678 | − | 9.21033i | 1.48759 | − | 0.366657i | 0.589967 | − | 0.807427i | \(-0.299141\pi\) |
0.897620 | + | 0.440770i | \(0.145295\pi\) | |||||||
\(632\) | 5.80423 | − | 8.40889i | 0.230880 | − | 0.334488i | ||||
\(633\) | −6.11304 | − | 50.3454i | −0.242971 | − | 2.00105i | ||||
\(634\) | 18.4581 | − | 48.6699i | 0.733063 | − | 1.93293i | ||||
\(635\) | 6.62624 | − | 3.47772i | 0.262954 | − | 0.138009i | ||||
\(636\) | −68.5008 | − | 99.2406i | −2.71623 | − | 3.93514i | ||||
\(637\) | −2.25672 | + | 25.0566i | −0.0894146 | + | 0.992778i | ||||
\(638\) | 15.0199 | − | 21.7601i | 0.594643 | − | 0.861489i | ||||
\(639\) | −2.58054 | + | 21.2526i | −0.102084 | + | 0.840741i | ||||
\(640\) | 33.8084 | + | 8.33303i | 1.33640 | + | 0.329392i | ||||
\(641\) | −3.77228 | − | 5.46509i | −0.148996 | − | 0.215858i | 0.741378 | − | 0.671088i | \(-0.234173\pi\) |
−0.890374 | + | 0.455230i | \(0.849557\pi\) | |||||||
\(642\) | 12.5912 | − | 11.1548i | 0.496935 | − | 0.440246i | ||||
\(643\) | 12.4590 | + | 6.53900i | 0.491336 | + | 0.257873i | 0.692146 | − | 0.721757i | \(-0.256665\pi\) |
−0.200810 | + | 0.979630i | \(0.564358\pi\) | |||||||
\(644\) | −0.0395249 | − | 0.325517i | −0.00155750 | − | 0.0128272i | ||||
\(645\) | 0.0536760 | − | 0.442062i | 0.00211349 | − | 0.0174062i | ||||
\(646\) | 74.3595 | − | 65.8768i | 2.92564 | − | 2.59189i | ||||
\(647\) | −17.4544 | + | 25.2871i | −0.686205 | + | 0.994139i | 0.312812 | + | 0.949815i | \(0.398729\pi\) |
−0.999017 | + | 0.0443243i | \(0.985887\pi\) | |||||||
\(648\) | 13.0638 | + | 107.590i | 0.513195 | + | 4.22654i | ||||
\(649\) | −2.02385 | + | 16.6679i | −0.0794431 | + | 0.654272i | ||||
\(650\) | 3.82221 | − | 42.4383i | 0.149919 | − | 1.66457i | ||||
\(651\) | −0.347606 | − | 2.86279i | −0.0136237 | − | 0.112202i | ||||
\(652\) | −56.6444 | + | 13.9616i | −2.21836 | + | 0.546778i | ||||
\(653\) | −34.4778 | −1.34922 | −0.674610 | − | 0.738174i | \(-0.735688\pi\) | ||||
−0.674610 | + | 0.738174i | \(0.735688\pi\) | |||||||
\(654\) | −10.4135 | −0.407201 | ||||||||
\(655\) | 7.39191 | − | 1.82194i | 0.288826 | − | 0.0711891i | ||||
\(656\) | 10.0042 | − | 26.3789i | 0.390598 | − | 1.02992i | ||||
\(657\) | −3.14515 | −0.122704 | ||||||||
\(658\) | 0.885100 | + | 2.33382i | 0.0345048 | + | 0.0909816i | ||||
\(659\) | 10.8350 | + | 2.67060i | 0.422073 | + | 0.104032i | 0.444631 | − | 0.895714i | \(-0.353335\pi\) |
−0.0225578 | + | 0.999746i | \(0.507181\pi\) | |||||||
\(660\) | −16.9684 | + | 15.0327i | −0.660494 | + | 0.585147i | ||||
\(661\) | 37.0081 | + | 9.12167i | 1.43945 | + | 0.354792i | 0.880356 | − | 0.474314i | \(-0.157304\pi\) |
0.559092 | + | 0.829106i | \(0.311150\pi\) | |||||||
\(662\) | 43.7320 | − | 38.7431i | 1.69969 | − | 1.50580i | ||||
\(663\) | 34.1587 | + | 46.3453i | 1.32662 | + | 1.79990i | ||||
\(664\) | −25.0615 | − | 22.2026i | −0.972575 | − | 0.861626i | ||||
\(665\) | −0.341453 | − | 0.494680i | −0.0132410 | − | 0.0191829i | ||||
\(666\) | 5.45545 | − | 1.34465i | 0.211394 | − | 0.0521040i | ||||
\(667\) | −0.936014 | + | 1.35605i | −0.0362426 | + | 0.0525065i | ||||
\(668\) | −18.7383 | − | 4.61856i | −0.725005 | − | 0.178698i | ||||
\(669\) | 27.9211 | + | 6.88193i | 1.07949 | + | 0.266071i | ||||
\(670\) | −2.22118 | + | 18.2931i | −0.0858117 | + | 0.706723i | ||||
\(671\) | −19.6962 | − | 17.4493i | −0.760362 | − | 0.673622i | ||||
\(672\) | −2.59118 | − | 6.83239i | −0.0999571 | − | 0.263565i | ||||
\(673\) | −23.2137 | + | 12.1835i | −0.894822 | + | 0.469639i | −0.848444 | − | 0.529285i | \(-0.822460\pi\) |
−0.0463782 | + | 0.998924i | \(0.514768\pi\) | |||||||
\(674\) | −5.49824 | + | 7.96557i | −0.211784 | + | 0.306822i | ||||
\(675\) | −13.4094 | −0.516129 | ||||||||
\(676\) | 65.4234 | + | 29.3189i | 2.51628 | + | 1.12765i | ||||
\(677\) | 14.1413 | 0.543493 | 0.271747 | − | 0.962369i | \(-0.412399\pi\) | ||||
0.271747 | + | 0.962369i | \(0.412399\pi\) | |||||||
\(678\) | 1.21621 | − | 1.76199i | 0.0467083 | − | 0.0676687i | ||||
\(679\) | −0.353845 | + | 0.185712i | −0.0135793 | + | 0.00712698i | ||||
\(680\) | −21.2527 | − | 56.0389i | −0.815006 | − | 2.14899i | ||||
\(681\) | −14.7984 | − | 13.1102i | −0.567076 | − | 0.502385i | ||||
\(682\) | 6.94090 | − | 57.1634i | 0.265781 | − | 2.18890i | ||||
\(683\) | −9.76963 | − | 2.40800i | −0.373825 | − | 0.0921395i | 0.0479272 | − | 0.998851i | \(-0.484738\pi\) |
−0.421752 | + | 0.906711i | \(0.638585\pi\) | |||||||
\(684\) | 39.8814 | + | 9.82988i | 1.52490 | + | 0.375855i | ||||
\(685\) | 7.99115 | − | 11.5772i | 0.305326 | − | 0.442341i | ||||
\(686\) | −5.57126 | + | 1.37319i | −0.212712 | + | 0.0524287i | ||||
\(687\) | −6.92318 | − | 10.0300i | −0.264136 | − | 0.382667i | ||||
\(688\) | 2.89920 | + | 2.56847i | 0.110531 | + | 0.0979219i | ||||
\(689\) | 5.59645 | + | 36.5743i | 0.213208 | + | 1.39337i | ||||
\(690\) | 1.44093 | − | 1.27656i | 0.0548554 | − | 0.0485976i | ||||
\(691\) | 10.0675 | + | 2.48141i | 0.382984 | + | 0.0943971i | 0.426107 | − | 0.904673i | \(-0.359885\pi\) |
−0.0431231 | + | 0.999070i | \(0.513731\pi\) | |||||||
\(692\) | 62.8845 | − | 55.7108i | 2.39051 | − | 2.11781i | ||||
\(693\) | 0.520500 | + | 0.128292i | 0.0197722 | + | 0.00487340i | ||||
\(694\) | 4.09642 | + | 10.8014i | 0.155498 | + | 0.410014i | ||||
\(695\) | −1.87843 | −0.0712530 | ||||||||
\(696\) | −30.2117 | + | 79.6618i | −1.14517 | + | 3.01957i | ||||
\(697\) | −13.3441 | + | 3.28902i | −0.505444 | + | 0.124581i | ||||
\(698\) | −22.7390 | −0.860684 | ||||||||
\(699\) | 35.5737 | 1.34552 | ||||||||
\(700\) | 3.45681 | − | 0.852026i | 0.130655 | − | 0.0322036i | ||||
\(701\) | 2.84762 | + | 23.4523i | 0.107553 | + | 0.885780i | 0.942213 | + | 0.335014i | \(0.108741\pi\) |
−0.834660 | + | 0.550766i | \(0.814336\pi\) | |||||||
\(702\) | 10.0055 | − | 29.0702i | 0.377632 | − | 1.09718i | ||||
\(703\) | −0.775682 | + | 6.38831i | −0.0292554 | + | 0.240940i | ||||
\(704\) | −8.96792 | − | 73.8575i | −0.337991 | − | 2.78361i | ||||
\(705\) | −6.10875 | + | 8.85005i | −0.230069 | + | 0.333312i | ||||
\(706\) | −46.6749 | + | 41.3504i | −1.75663 | + | 1.55624i | ||||
\(707\) | −0.263496 | + | 2.17008i | −0.00990977 | + | 0.0816143i | ||||
\(708\) | −10.2322 | − | 84.2697i | −0.384550 | − | 3.16705i | ||||
\(709\) | 44.0347 | + | 23.1112i | 1.65376 | + | 0.867959i | 0.993100 | + | 0.117271i | \(0.0374146\pi\) |
0.660657 | + | 0.750688i | \(0.270278\pi\) | |||||||
\(710\) | −23.6736 | + | 20.9730i | −0.888455 | + | 0.787102i | ||||
\(711\) | −0.927823 | − | 1.34418i | −0.0347961 | − | 0.0504108i | ||||
\(712\) | 51.8062 | + | 12.7691i | 1.94152 | + | 0.478542i | ||||
\(713\) | −0.432545 | + | 3.56233i | −0.0161989 | + | 0.133410i | ||||
\(714\) | −3.72372 | + | 5.39474i | −0.139357 | + | 0.201893i | ||||
\(715\) | 6.69881 | − | 1.87321i | 0.250521 | − | 0.0700541i | ||||
\(716\) | −41.6491 | − | 60.3392i | −1.55650 | − | 2.25498i | ||||
\(717\) | −14.5241 | + | 7.62283i | −0.542412 | + | 0.284680i | ||||
\(718\) | −16.0198 | + | 42.2406i | −0.597852 | + | 1.57641i | ||||
\(719\) | 3.36354 | + | 27.7012i | 0.125439 | + | 1.03308i | 0.910456 | + | 0.413607i | \(0.135731\pi\) |
−0.785017 | + | 0.619474i | \(0.787346\pi\) | |||||||
\(720\) | 11.1720 | − | 16.1854i | 0.416355 | − | 0.603194i | ||||
\(721\) | −1.66089 | + | 0.409372i | −0.0618546 | + | 0.0152458i | ||||
\(722\) | −6.82814 | + | 9.89228i | −0.254117 | + | 0.368152i | ||||
\(723\) | 3.40333 | − | 8.97384i | 0.126571 | − | 0.333741i | ||||
\(724\) | −1.13623 | + | 2.99599i | −0.0422276 | + | 0.111345i | ||||
\(725\) | −15.8410 | − | 8.31398i | −0.588319 | − | 0.308773i | ||||
\(726\) | −28.9532 | − | 15.1958i | −1.07455 | − | 0.563969i | ||||
\(727\) | 30.9503 | − | 7.62855i | 1.14788 | − | 0.282927i | 0.380912 | − | 0.924611i | \(-0.375610\pi\) |
0.766969 | + | 0.641684i | \(0.221764\pi\) | |||||||
\(728\) | −0.466663 | + | 5.18140i | −0.0172957 | + | 0.192035i | ||||
\(729\) | −2.48402 | − | 0.612255i | −0.0920007 | − | 0.0226761i | ||||
\(730\) | −3.47789 | − | 3.08114i | −0.128722 | − | 0.114038i | ||||
\(731\) | 0.227435 | − | 1.87310i | 0.00841200 | − | 0.0692791i | ||||
\(732\) | 117.799 | + | 61.8256i | 4.35397 | + | 2.28514i | ||||
\(733\) | −21.2364 | + | 11.1457i | −0.784383 | + | 0.411676i | −0.808843 | − | 0.588025i | \(-0.799906\pi\) |
0.0244599 | + | 0.999701i | \(0.492213\pi\) | |||||||
\(734\) | 7.29310 | + | 19.2303i | 0.269193 | + | 0.709805i | ||||
\(735\) | −9.23714 | − | 8.18339i | −0.340717 | − | 0.301849i | ||||
\(736\) | 1.09602 | + | 9.02651i | 0.0403997 | + | 0.332722i | ||||
\(737\) | 18.2759 | − | 4.50461i | 0.673202 | − | 0.165929i | ||||
\(738\) | −5.79589 | − | 5.13471i | −0.213350 | − | 0.189011i | ||||
\(739\) | −12.8967 | + | 11.4254i | −0.474411 | + | 0.420292i | −0.866149 | − | 0.499785i | \(-0.833412\pi\) |
0.391738 | + | 0.920077i | \(0.371874\pi\) | |||||||
\(740\) | 5.39377 | + | 2.83087i | 0.198279 | + | 0.104065i | ||||
\(741\) | −28.5587 | − | 23.7620i | −1.04913 | − | 0.872919i | ||||
\(742\) | −3.73014 | + | 1.95773i | −0.136938 | + | 0.0718705i | ||||
\(743\) | 8.38052 | − | 22.0976i | 0.307452 | − | 0.810683i | −0.688862 | − | 0.724893i | \(-0.741889\pi\) |
0.996313 | − | 0.0857904i | \(-0.0273415\pi\) | |||||||
\(744\) | 22.3654 | + | 184.196i | 0.819957 | + | 6.75295i | ||||
\(745\) | −10.6025 | + | 5.56460i | −0.388444 | + | 0.203871i | ||||
\(746\) | −30.2257 | −1.10664 | ||||||||
\(747\) | −4.73910 | + | 2.48727i | −0.173395 | + | 0.0910046i | ||||
\(748\) | −71.8983 | + | 63.6964i | −2.62886 | + | 2.32897i | ||||
\(749\) | −0.244985 | − | 0.354922i | −0.00895155 | − | 0.0129686i | ||||
\(750\) | 33.7902 | + | 29.9355i | 1.23384 | + | 1.09309i | ||||
\(751\) | 5.25016 | + | 7.60616i | 0.191581 | + | 0.277553i | 0.906989 | − | 0.421154i | \(-0.138375\pi\) |
−0.715408 | + | 0.698707i | \(0.753759\pi\) | |||||||
\(752\) | −33.1679 | − | 87.4566i | −1.20951 | − | 3.18921i | ||||
\(753\) | 13.7084 | + | 36.1460i | 0.499561 | + | 1.31723i | ||||
\(754\) | 29.8436 | − | 28.1380i | 1.08684 | − | 1.02473i | ||||
\(755\) | −1.86573 | + | 4.91951i | −0.0679007 | + | 0.179039i | ||||
\(756\) | 2.56878 | 0.0934258 | ||||||||
\(757\) | 1.08290 | + | 2.85536i | 0.0393586 | + | 0.103780i | 0.953255 | − | 0.302168i | \(-0.0977105\pi\) |
−0.913896 | + | 0.405948i | \(0.866941\pi\) | |||||||
\(758\) | 7.34980 | − | 60.5311i | 0.266957 | − | 2.19859i | ||||
\(759\) | −1.74114 | − | 0.913822i | −0.0631995 | − | 0.0331697i | ||||
\(760\) | 21.9696 | + | 31.8284i | 0.796920 | + | 1.15454i | ||||
\(761\) | −17.9798 | − | 26.0482i | −0.651766 | − | 0.944246i | −0.999977 | − | 0.00683006i | \(-0.997826\pi\) |
0.348210 | − | 0.937416i | \(-0.386789\pi\) | |||||||
\(762\) | 46.6302 | + | 24.4734i | 1.68923 | + | 0.886578i | ||||
\(763\) | −0.0321802 | + | 0.265028i | −0.00116500 | + | 0.00959466i | ||||
\(764\) | −14.9032 | − | 39.2966i | −0.539180 | − | 1.42170i | ||||
\(765\) | −9.58055 | −0.346386 | ||||||||
\(766\) | −34.2323 | + | 90.2630i | −1.23686 | + | 3.26134i | ||||
\(767\) | −8.47681 | + | 24.6288i | −0.306080 | + | 0.889293i | ||||
\(768\) | 38.5178 | + | 101.563i | 1.38989 | + | 3.66484i | ||||
\(769\) | −5.85305 | − | 15.4332i | −0.211066 | − | 0.556536i | 0.787116 | − | 0.616805i | \(-0.211573\pi\) |
−0.998182 | + | 0.0602690i | \(0.980804\pi\) | |||||||
\(770\) | 0.449884 | + | 0.651770i | 0.0162127 | + | 0.0234882i | ||||
\(771\) | 6.14212 | + | 5.44144i | 0.221203 | + | 0.195969i | ||||
\(772\) | 46.7497 | + | 67.7286i | 1.68256 | + | 2.43760i | ||||
\(773\) | −8.72645 | + | 7.73096i | −0.313868 | + | 0.278063i | −0.805318 | − | 0.592843i | \(-0.798006\pi\) |
0.491450 | + | 0.870906i | \(0.336467\pi\) | |||||||
\(774\) | 0.941308 | − | 0.494037i | 0.0338346 | − | 0.0177578i | ||||
\(775\) | −38.9621 | −1.39956 | ||||||||
\(776\) | 22.7669 | − | 11.9490i | 0.817284 | − | 0.428944i | ||||
\(777\) | −0.0511829 | − | 0.421529i | −0.00183617 | − | 0.0151223i | ||||
\(778\) | −26.8943 | + | 70.9144i | −0.964207 | + | 2.54240i | ||||
\(779\) | 7.85265 | − | 4.12139i | 0.281350 | − | 0.147664i | ||||
\(780\) | −30.6173 | + | 17.3005i | −1.09628 | + | 0.619458i | ||||
\(781\) | 28.6059 | + | 15.0135i | 1.02360 | + | 0.537226i | ||||
\(782\) | 6.10551 | − | 5.40901i | 0.218333 | − | 0.193426i | ||||
\(783\) | −9.66181 | − | 8.55962i | −0.345285 | − | 0.305896i | ||||
\(784\) | 104.220 | − | 25.6880i | 3.72215 | − | 0.917428i | ||||
\(785\) | −0.243512 | − | 2.00551i | −0.00869133 | − | 0.0715796i | ||||
\(786\) | 40.1016 | + | 35.5269i | 1.43037 | + | 1.26720i | ||||
\(787\) | 9.86163 | + | 26.0030i | 0.351529 | + | 0.926906i | 0.987840 | + | 0.155474i | \(0.0496903\pi\) |
−0.636311 | + | 0.771433i | \(0.719540\pi\) | |||||||
\(788\) | −8.23476 | + | 4.32193i | −0.293351 | + | 0.153963i | ||||
\(789\) | −10.8646 | − | 5.70216i | −0.386789 | − | 0.203002i | ||||
\(790\) | 0.290845 | − | 2.39533i | 0.0103478 | − | 0.0852219i | ||||
\(791\) | −0.0410849 | − | 0.0363980i | −0.00146081 | − | 0.00129416i | ||||
\(792\) | −33.4897 | − | 8.25447i | −1.19000 | − | 0.293310i | ||||
\(793\) | −24.2190 | − | 32.8595i | −0.860043 | − | 1.16687i | ||||
\(794\) | 10.6587 | − | 2.62714i | 0.378264 | − | 0.0932336i | ||||
\(795\) | −16.0706 | − | 8.43450i | −0.569965 | − | 0.299141i | ||||
\(796\) | −100.338 | − | 52.6613i | −3.55638 | − | 1.86653i | ||||
\(797\) | −7.52214 | + | 19.8342i | −0.266448 | + | 0.702565i | 0.733296 | + | 0.679910i | \(0.237981\pi\) |
−0.999743 | + | 0.0226550i | \(0.992788\pi\) | |||||||
\(798\) | 1.49995 | − | 3.95505i | 0.0530977 | − | 0.140007i | ||||
\(799\) | −25.8839 | + | 37.4993i | −0.915707 | + | 1.32663i | ||||
\(800\) | −95.8564 | + | 23.6265i | −3.38904 | + | 0.835323i | ||||
\(801\) | 4.84515 | − | 7.01941i | 0.171195 | − | 0.248019i | ||||
\(802\) | −6.15407 | − | 50.6834i | −0.217308 | − | 1.78969i | ||||
\(803\) | −1.68300 | + | 4.43770i | −0.0593917 | + | 0.156603i | ||||
\(804\) | −84.2643 | + | 44.2253i | −2.97177 | + | 1.55971i | ||||
\(805\) | −0.0280360 | − | 0.0406172i | −0.000988140 | − | 0.00143157i | ||||
\(806\) | 29.0717 | − | 84.4656i | 1.02401 | − | 2.97517i | ||||
\(807\) | 10.8303 | − | 15.6904i | 0.381244 | − | 0.552327i | ||||
\(808\) | 16.9537 | − | 139.626i | 0.596429 | − | 4.91203i | ||||
\(809\) | −33.4714 | − | 8.24995i | −1.17679 | − | 0.290053i | −0.398029 | − | 0.917373i | \(-0.630306\pi\) |
−0.778762 | + | 0.627320i | \(0.784152\pi\) | |||||||
\(810\) | 14.5393 | + | 21.0638i | 0.510859 | + | 0.740108i | ||||
\(811\) | 4.61895 | − | 4.09203i | 0.162193 | − | 0.143691i | −0.578123 | − | 0.815950i | \(-0.696214\pi\) |
0.740316 | + | 0.672259i | \(0.234676\pi\) | |||||||
\(812\) | 3.03458 | + | 1.59267i | 0.106493 | + | 0.0558919i | ||||
\(813\) | 4.84796 | + | 39.9265i | 0.170025 | + | 1.40028i | ||||
\(814\) | 1.02201 | − | 8.41698i | 0.0358213 | − | 0.295015i | ||||
\(815\) | −6.57247 | + | 5.82270i | −0.230223 | + | 0.203960i | ||||
\(816\) | 139.541 | − | 202.161i | 4.88493 | − | 7.07704i | ||||
\(817\) | 0.146761 | + | 1.20869i | 0.00513453 | + | 0.0422866i | ||||
\(818\) | −12.7080 | + | 104.660i | −0.444326 | + | 3.65935i | ||||
\(819\) | 0.747985 | + | 0.363455i | 0.0261367 | + | 0.0127001i | ||||
\(820\) | −1.01188 | − | 8.33359i | −0.0353364 | − | 0.291021i | ||||
\(821\) | 47.7161 | − | 11.7610i | 1.66530 | − | 0.410460i | 0.709555 | − | 0.704650i | \(-0.248896\pi\) |
0.955747 | + | 0.294189i | \(0.0950496\pi\) | |||||||
\(822\) | 98.9946 | 3.45283 | ||||||||
\(823\) | 29.9277 | 1.04321 | 0.521607 | − | 0.853186i | \(-0.325333\pi\) | ||||
0.521607 | + | 0.853186i | \(0.325333\pi\) | |||||||
\(824\) | 106.864 | − | 26.3396i | 3.72278 | − | 0.917582i | ||||
\(825\) | 7.57081 | − | 19.9626i | 0.263582 | − | 0.695008i | ||||
\(826\) | −2.96558 | −0.103186 | ||||||||
\(827\) | −3.48581 | − | 9.19133i | −0.121214 | − | 0.319614i | 0.860652 | − | 0.509194i | \(-0.170057\pi\) |
−0.981865 | + | 0.189580i | \(0.939287\pi\) | |||||||
\(828\) | 3.27458 | + | 0.807112i | 0.113800 | + | 0.0280491i | ||||
\(829\) | −14.1383 | + | 12.5254i | −0.491043 | + | 0.435026i | −0.871956 | − | 0.489585i | \(-0.837148\pi\) |
0.380913 | + | 0.924611i | \(0.375610\pi\) | |||||||
\(830\) | −7.67711 | − | 1.89224i | −0.266477 | − | 0.0656806i | ||||
\(831\) | 7.18423 | − | 6.36468i | 0.249218 | − | 0.220788i | ||||
\(832\) | 10.3531 | − | 114.951i | 0.358928 | − | 3.98521i | ||||
\(833\) | −39.1395 | − | 34.6746i | −1.35610 | − | 1.20140i | ||||
\(834\) | −7.50919 | − | 10.8789i | −0.260022 | − | 0.376707i | ||||
\(835\) | −2.82030 | + | 0.695143i | −0.0976006 | + | 0.0240564i | ||||
\(836\) | 35.2105 | − | 51.0112i | 1.21778 | − | 1.76426i | ||||
\(837\) | −27.2949 | − | 6.72758i | −0.943449 | − | 0.232539i | ||||
\(838\) | −58.3592 | − | 14.3842i | −2.01598 | − | 0.496895i | ||||
\(839\) | 1.60527 | − | 13.2206i | 0.0554200 | − | 0.456425i | −0.938411 | − | 0.345521i | \(-0.887702\pi\) |
0.993831 | − | 0.110904i | \(-0.0353747\pi\) | |||||||
\(840\) | −1.91013 | − | 1.69223i | −0.0659057 | − | 0.0583874i | ||||
\(841\) | 4.17680 | + | 11.0133i | 0.144027 | + | 0.379769i | ||||
\(842\) | −57.4326 | + | 30.1430i | −1.97926 | + | 1.03880i | ||||
\(843\) | 10.5231 | − | 15.2453i | 0.362434 | − | 0.525076i | ||||
\(844\) | 131.259 | 4.51813 | ||||||||
\(845\) | 10.7697 | − | 0.668748i | 0.370490 | − | 0.0230056i | ||||
\(846\) | −25.6719 | −0.882619 | ||||||||
\(847\) | −0.476211 | + | 0.689911i | −0.0163628 | + | 0.0237056i | ||||
\(848\) | 139.782 | − | 73.3632i | 4.80013 | − | 2.51930i | ||||
\(849\) | 20.1620 | + | 53.1628i | 0.691957 | + | 1.82454i | ||||
\(850\) | 66.2906 | + | 58.7284i | 2.27375 | + | 2.01437i | ||||
\(851\) | −0.0636897 | + | 0.524532i | −0.00218325 | + | 0.0179807i | ||||
\(852\) | −158.589 | − | 39.0886i | −5.43316 | − | 1.33915i | ||||
\(853\) | −7.60088 | − | 1.87345i | −0.260249 | − | 0.0641457i | 0.107032 | − | 0.994256i | \(-0.465865\pi\) |
−0.367281 | + | 0.930110i | \(0.619711\pi\) | |||||||
\(854\) | 2.64017 | − | 3.82495i | 0.0903448 | − | 0.130887i | ||||
\(855\) | 6.00257 | − | 1.47950i | 0.205283 | − | 0.0505978i | ||||
\(856\) | 15.7627 | + | 22.8362i | 0.538757 | + | 0.780524i | ||||
\(857\) | −3.71728 | − | 3.29322i | −0.126980 | − | 0.112494i | 0.597243 | − | 0.802060i | \(-0.296263\pi\) |
−0.724223 | + | 0.689566i | \(0.757801\pi\) | |||||||
\(858\) | 37.6278 | + | 31.3078i | 1.28459 | + | 1.06883i | ||||
\(859\) | 12.0920 | − | 10.7125i | 0.412572 | − | 0.365507i | −0.431156 | − | 0.902277i | \(-0.641894\pi\) |
0.843728 | + | 0.536770i | \(0.180356\pi\) | |||||||
\(860\) | 1.11904 | + | 0.275819i | 0.0381590 | + | 0.00940535i | ||||
\(861\) | −0.438014 | + | 0.388047i | −0.0149275 | + | 0.0132246i | ||||
\(862\) | 2.60964 | + | 0.643218i | 0.0888847 | + | 0.0219081i | ||||
\(863\) | −4.33422 | − | 11.4284i | −0.147539 | − | 0.389027i | 0.840791 | − | 0.541361i | \(-0.182091\pi\) |
−0.988329 | + | 0.152333i | \(0.951321\pi\) | |||||||
\(864\) | −71.2318 | −2.42336 | ||||||||
\(865\) | 4.48391 | − | 11.8231i | 0.152458 | − | 0.401998i | ||||
\(866\) | 84.0117 | − | 20.7070i | 2.85483 | − | 0.703653i | ||||
\(867\) | −83.4410 | −2.83380 | ||||||||
\(868\) | 7.46379 | 0.253338 | ||||||||
\(869\) | −2.39308 | + | 0.589842i | −0.0811798 | + | 0.0200090i | ||||
\(870\) | 2.42519 | + | 19.9732i | 0.0822216 | + | 0.677156i | ||||
\(871\) | 29.1858 | − | 0.905276i | 0.988923 | − | 0.0306741i | ||||
\(872\) | 2.07052 | − | 17.0523i | 0.0701167 | − | 0.577463i | ||||
\(873\) | −0.495423 | − | 4.08017i | −0.0167675 | − | 0.138093i | ||||
\(874\) | −2.99003 | + | 4.33180i | −0.101139 | + | 0.146525i | ||||
\(875\) | 0.866289 | − | 0.767465i | 0.0292859 | − | 0.0259451i | ||||
\(876\) | 2.89234 | − | 23.8205i | 0.0977231 | − | 0.804822i | ||||
\(877\) | −0.422733 | − | 3.48152i | −0.0142747 | − | 0.117563i | 0.983830 | − | 0.179106i | \(-0.0573207\pi\) |
−0.998104 | + | 0.0615439i | \(0.980398\pi\) | |||||||
\(878\) | −3.96299 | − | 2.07994i | −0.133744 | − | 0.0701944i | ||||
\(879\) | 27.5668 | − | 24.4221i | 0.929806 | − | 0.823736i | ||||
\(880\) | −16.8588 | − | 24.4242i | −0.568310 | − | 0.823339i | ||||
\(881\) | −40.3547 | − | 9.94655i | −1.35959 | − | 0.335108i | −0.508920 | − | 0.860814i | \(-0.669955\pi\) |
−0.850666 | + | 0.525706i | \(0.823801\pi\) | |||||||
\(882\) | 3.55110 | − | 29.2459i | 0.119572 | − | 0.984762i | ||||
\(883\) | 5.64050 | − | 8.17167i | 0.189818 | − | 0.274999i | −0.716507 | − | 0.697580i | \(-0.754260\pi\) |
0.906325 | + | 0.422581i | \(0.138876\pi\) | |||||||
\(884\) | −129.731 | + | 73.3056i | −4.36334 | + | 2.46553i | ||||
\(885\) | −7.25796 | − | 10.5150i | −0.243974 | − | 0.353457i | ||||
\(886\) | −55.6405 | + | 29.2024i | −1.86928 | + | 0.981073i | ||||
\(887\) | 0.870097 | − | 2.29426i | 0.0292150 | − | 0.0770336i | −0.919615 | − | 0.392821i | \(-0.871499\pi\) |
0.948830 | + | 0.315787i | \(0.102269\pi\) | |||||||
\(888\) | 3.29318 | + | 27.1218i | 0.110512 | + | 0.910147i | ||||
\(889\) | 0.766956 | − | 1.11113i | 0.0257229 | − | 0.0372660i | ||||
\(890\) | 12.2343 | − | 3.01548i | 0.410094 | − | 0.101079i | ||||
\(891\) | 14.8513 | − | 21.5159i | 0.497538 | − | 0.720809i | ||||
\(892\) | −26.3922 | + | 69.5906i | −0.883677 | + | 2.33007i | ||||
\(893\) | 10.4263 | − | 27.4919i | 0.348903 | − | 0.919981i | ||||
\(894\) | −74.6117 | − | 39.1592i | −2.49539 | − | 1.30968i | ||||
\(895\) | −9.77107 | − | 5.12825i | −0.326611 | − | 0.171419i | ||||
\(896\) | 6.09954 | − | 1.50340i | 0.203771 | − | 0.0502251i | ||||
\(897\) | −2.34490 | − | 1.95105i | −0.0782939 | − | 0.0651437i | ||||
\(898\) | 99.7115 | + | 24.5767i | 3.32741 | + | 0.820134i | ||||
\(899\) | −28.0731 | − | 24.8706i | −0.936291 | − | 0.829481i | ||||
\(900\) | −4.41379 | + | 36.3508i | −0.147126 | + | 1.21169i | ||||
\(901\) | −68.0941 | − | 35.7386i | −2.26854 | − | 1.19062i | ||||
\(902\) | −10.3463 | + | 5.43017i | −0.344495 | + | 0.180805i | ||||
\(903\) | −0.0284890 | − | 0.0751194i | −0.000948056 | − | 0.00249982i | ||||
\(904\) | 2.64346 | + | 2.34190i | 0.0879201 | + | 0.0778904i | ||||
\(905\) | 0.0581309 | + | 0.478751i | 0.00193234 | + | 0.0159142i | ||||
\(906\) | −35.9498 | + | 8.86082i | −1.19435 | + | 0.294381i | ||||
\(907\) | −37.8891 | − | 33.5668i | −1.25809 | − | 1.11457i | −0.988441 | − | 0.151608i | \(-0.951555\pi\) |
−0.269646 | − | 0.962959i | \(-0.586907\pi\) | |||||||
\(908\) | 38.3007 | − | 33.9315i | 1.27105 | − | 1.12606i | ||||
\(909\) | −19.9082 | − | 10.4486i | −0.660313 | − | 0.346559i | ||||
\(910\) | 0.471058 | + | 1.13467i | 0.0156154 | + | 0.0376138i | ||||
\(911\) | 23.2811 | − | 12.2188i | 0.771336 | − | 0.404829i | −0.0326572 | − | 0.999467i | \(-0.510397\pi\) |
0.803994 | + | 0.594638i | \(0.202705\pi\) | |||||||
\(912\) | −56.2087 | + | 148.210i | −1.86126 | + | 4.90773i | ||||
\(913\) | 0.973522 | + | 8.01767i | 0.0322189 | + | 0.265346i | ||||
\(914\) | −56.6804 | + | 29.7482i | −1.87482 | + | 0.983982i | ||||
\(915\) | 20.0235 | 0.661958 | ||||||||
\(916\) | 27.9297 | − | 14.6587i | 0.922825 | − | 0.484336i | ||||
\(917\) | 1.02810 | − | 0.910814i | 0.0339507 | − | 0.0300777i | ||||
\(918\) | 36.2993 | + | 52.5886i | 1.19805 | + | 1.73568i | ||||
\(919\) | 23.9444 | + | 21.2129i | 0.789852 | + | 0.699748i | 0.958238 | − | 0.285973i | \(-0.0923168\pi\) |
−0.168385 | + | 0.985721i | \(0.553855\pi\) | |||||||
\(920\) | 1.80388 | + | 2.61337i | 0.0594721 | + | 0.0861602i | ||||
\(921\) | 7.40790 | + | 19.5330i | 0.244099 | + | 0.643635i | ||||
\(922\) | 11.6573 | + | 30.7377i | 0.383912 | + | 1.01229i | ||||
\(923\) | 38.5252 | + | 32.0545i | 1.26807 | + | 1.05509i | ||||
\(924\) | −1.45031 | + | 3.82415i | −0.0477116 | + | 0.125805i | ||||
\(925\) | −5.73693 | −0.188629 | ||||||||
\(926\) | 28.0418 | + | 73.9402i | 0.921512 | + | 2.42983i | ||||
\(927\) | 2.12069 | − | 17.4654i | 0.0696525 | − | 0.573640i | ||||
\(928\) | −84.1483 | − | 44.1645i | −2.76230 | − | 1.44977i | ||||
\(929\) | 21.9504 | + | 31.8006i | 0.720168 | + | 1.04334i | 0.996607 | + | 0.0823117i | \(0.0262303\pi\) |
−0.276439 | + | 0.961032i | \(0.589154\pi\) | |||||||
\(930\) | 24.8915 | + | 36.0616i | 0.816226 | + | 1.18251i | ||||
\(931\) | 29.8771 | + | 15.6807i | 0.979181 | + | 0.513914i | ||||
\(932\) | −11.0979 | + | 91.3993i | −0.363523 | + | 2.99388i | ||||
\(933\) | −3.39637 | − | 8.95549i | −0.111192 | − | 0.293190i | ||||
\(934\) | 80.4396 | 2.63206 | ||||||||
\(935\) | −5.12664 | + | 13.5178i | −0.167659 | + | 0.442080i | ||||
\(936\) | −48.1264 | − | 23.3852i | −1.57306 | − | 0.764370i | ||||
\(937\) | −2.86638 | − | 7.55802i | −0.0936405 | − | 0.246910i | 0.880010 | − | 0.474955i | \(-0.157536\pi\) |
−0.973650 | + | 0.228046i | \(0.926766\pi\) | |||||||
\(938\) | 1.17891 | + | 3.10854i | 0.0384929 | + | 0.101497i | ||||
\(939\) | −33.2903 | − | 48.2293i | −1.08639 | − | 1.57390i | ||||
\(940\) | −20.8326 | − | 18.4561i | −0.679486 | − | 0.601972i | ||||
\(941\) | 16.1057 | + | 23.3331i | 0.525030 | + | 0.760638i | 0.992351 | − | 0.123450i | \(-0.0393960\pi\) |
−0.467321 | + | 0.884088i | \(0.654781\pi\) | |||||||
\(942\) | 10.6414 | − | 9.42748i | 0.346716 | − | 0.307164i | ||||
\(943\) | 0.644765 | − | 0.338399i | 0.0209964 | − | 0.0110198i | ||||
\(944\) | 111.131 | 3.61701 | ||||||||
\(945\) | 0.342343 | − | 0.179676i | 0.0111364 | − | 0.00584484i | ||||
\(946\) | −0.193367 | − | 1.59252i | −0.00628689 | − | 0.0517772i | ||||
\(947\) | 0.0221416 | − | 0.0583825i | 0.000719505 | − | 0.00189718i | −0.934656 | − | 0.355553i | \(-0.884292\pi\) |
0.935376 | + | 0.353656i | \(0.115062\pi\) | |||||||
\(948\) | 11.0337 | − | 5.79095i | 0.358359 | − | 0.188081i | ||||
\(949\) | −3.99259 | + | 6.18609i | −0.129605 | + | 0.200809i | ||||
\(950\) | −50.6028 | − | 26.5584i | −1.64177 | − | 0.861668i | ||||
\(951\) | 30.2844 | − | 26.8296i | 0.982038 | − | 0.870010i | ||||
\(952\) | −8.09358 | − | 7.17029i | −0.262315 | − | 0.232390i | ||||
\(953\) | 8.95559 | − | 2.20735i | 0.290100 | − | 0.0715032i | −0.0915802 | − | 0.995798i | \(-0.529192\pi\) |
0.381680 | + | 0.924294i | \(0.375346\pi\) | |||||||
\(954\) | −5.22262 | − | 43.0121i | −0.169088 | − | 1.39257i | ||||
\(955\) | −4.73479 | − | 4.19465i | −0.153214 | − | 0.135736i | ||||
\(956\) | −15.0542 | − | 39.6948i | −0.486889 | − | 1.28382i | ||||
\(957\) | 18.1976 | − | 9.55086i | 0.588246 | − | 0.308735i | ||||
\(958\) | 70.6594 | + | 37.0849i | 2.28290 | + | 1.19816i | ||||
\(959\) | 0.305917 | − | 2.51945i | 0.00987857 | − | 0.0813573i | ||||
\(960\) | 42.3768 | + | 37.5426i | 1.36771 | + | 1.21168i | ||||
\(961\) | −49.2081 | − | 12.1287i | −1.58736 | − | 0.391249i | ||||
\(962\) | 4.28063 | − | 12.4371i | 0.138013 | − | 0.400987i | ||||
\(963\) | 4.30671 | − | 1.06151i | 0.138782 | − | 0.0342066i | ||||
\(964\) | 21.9947 | + | 11.5437i | 0.708402 | + | 0.371798i | ||||
\(965\) | 10.9677 | + | 5.75628i | 0.353062 | + | 0.185301i | ||||
\(966\) | 0.123158 | − | 0.324741i | 0.00396255 | − | 0.0104484i | ||||
\(967\) | 2.06604 | − | 5.44770i | 0.0664394 | − | 0.175186i | −0.897685 | − | 0.440639i | \(-0.854752\pi\) |
0.964124 | + | 0.265452i | \(0.0855213\pi\) | |||||||
\(968\) | 30.6401 | − | 44.3899i | 0.984811 | − | 1.42674i | ||||
\(969\) | 74.9740 | − | 18.4794i | 2.40851 | − | 0.593645i | ||||
\(970\) | 3.44929 | − | 4.99717i | 0.110750 | − | 0.160449i | ||||
\(971\) | 1.70098 | + | 14.0088i | 0.0545871 | + | 0.449565i | 0.994218 | + | 0.107377i | \(0.0342451\pi\) |
−0.939631 | + | 0.342188i | \(0.888832\pi\) | |||||||
\(972\) | −28.6225 | + | 75.4713i | −0.918067 | + | 2.42074i | ||||
\(973\) | −0.300079 | + | 0.157493i | −0.00962008 | + | 0.00504901i | ||||
\(974\) | −18.0691 | − | 26.1776i | −0.578971 | − | 0.838784i | ||||
\(975\) | 17.9603 | − | 27.8275i | 0.575189 | − | 0.891194i | ||||
\(976\) | −98.9368 | + | 143.335i | −3.16689 | + | 4.58803i | ||||
\(977\) | −4.07758 | + | 33.5819i | −0.130453 | + | 1.07438i | 0.769577 | + | 0.638554i | \(0.220467\pi\) |
−0.900031 | + | 0.435827i | \(0.856456\pi\) | |||||||
\(978\) | −59.9962 | − | 14.7877i | −1.91847 | − | 0.472859i | ||||
\(979\) | −7.31146 | − | 10.5925i | −0.233675 | − | 0.338537i | ||||
\(980\) | 23.9073 | − | 21.1800i | 0.763689 | − | 0.676570i | ||||
\(981\) | −2.43135 | − | 1.27607i | −0.0776271 | − | 0.0407418i | ||||
\(982\) | −12.9669 | − | 106.792i | −0.413791 | − | 3.40788i | ||||
\(983\) | −1.42989 | + | 11.7762i | −0.0456065 | + | 0.375603i | 0.951980 | + | 0.306162i | \(0.0990448\pi\) |
−0.997586 | + | 0.0694417i | \(0.977878\pi\) | |||||||
\(984\) | 28.1825 | − | 24.9675i | 0.898424 | − | 0.795934i | ||||
\(985\) | −0.795149 | + | 1.15197i | −0.0253356 | + | 0.0367049i | ||||
\(986\) | 10.2760 | + | 84.6304i | 0.327254 | + | 2.69518i | ||||
\(987\) | −0.233855 | + | 1.92597i | −0.00744367 | + | 0.0613042i | ||||
\(988\) | 69.9611 | − | 65.9627i | 2.22576 | − | 2.09855i | ||||
\(989\) | 0.0120503 | + | 0.0992429i | 0.000383176 | + | 0.00315574i | ||||
\(990\) | −7.90873 | + | 1.94933i | −0.251356 | + | 0.0619537i | ||||
\(991\) | 45.3306 | 1.43997 | 0.719987 | − | 0.693988i | \(-0.244148\pi\) | ||||
0.719987 | + | 0.693988i | \(0.244148\pi\) | |||||||
\(992\) | −206.969 | −6.57128 | ||||||||
\(993\) | 44.0934 | − | 10.8680i | 1.39926 | − | 0.344887i | ||||
\(994\) | −2.02341 | + | 5.33529i | −0.0641786 | + | 0.169225i | ||||
\(995\) | −17.0555 | −0.540696 | ||||||||
\(996\) | −14.4798 | − | 38.1800i | −0.458809 | − | 1.20978i | ||||
\(997\) | 18.8546 | + | 4.64724i | 0.597131 | + | 0.147180i | 0.526286 | − | 0.850308i | \(-0.323584\pi\) |
0.0708451 | + | 0.997487i | \(0.477430\pi\) | |||||||
\(998\) | −19.9947 | + | 17.7138i | −0.632923 | + | 0.560721i | ||||
\(999\) | −4.01901 | − | 0.990597i | −0.127156 | − | 0.0313411i |
(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 | 169.2.g.a.14.1 | ✓ | 156 | |
169.157 | even | 13 | inner | 169.2.g.a.157.1 | yes | 156 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
169.2.g.a.14.1 | ✓ | 156 | 1.1 | even | 1 | trivial | |
169.2.g.a.157.1 | yes | 156 | 169.157 | even | 13 | inner |