Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [170,2,Mod(23,170)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(170, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([12, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("170.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 170 = 2 \cdot 5 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 170.r (of order \(16\), degree \(8\), 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: | \(1.35745683436\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 107.5 | ||
Character | \(\chi\) | \(=\) | 170.107 |
Dual form | 170.2.r.b.143.5 |
$q$-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 \(\left(\mathbb{Z}/170\mathbb{Z}\right)^\times\).
\(n\) | \(71\) | \(137\) |
\(\chi(n)\) | \(e\left(\frac{5}{16}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.382683 | + | 0.923880i | −0.270598 | + | 0.653281i | ||||
\(3\) | 3.34096 | + | 0.664558i | 1.92890 | + | 0.383683i | 0.999908 | + | 0.0135921i | \(0.00432662\pi\) |
0.928996 | + | 0.370091i | \(0.120673\pi\) | |||||||
\(4\) | −0.707107 | − | 0.707107i | −0.353553 | − | 0.353553i | ||||
\(5\) | −0.732362 | − | 2.11273i | −0.327522 | − | 0.944843i | ||||
\(6\) | −1.89250 | + | 2.83233i | −0.772610 | + | 1.15629i | ||||
\(7\) | −0.616963 | + | 0.923351i | −0.233190 | + | 0.348994i | −0.929548 | − | 0.368701i | \(-0.879803\pi\) |
0.696358 | + | 0.717695i | \(0.254803\pi\) | |||||||
\(8\) | 0.923880 | − | 0.382683i | 0.326641 | − | 0.135299i | ||||
\(9\) | 7.94873 | + | 3.29247i | 2.64958 | + | 1.09749i | ||||
\(10\) | 2.23217 | + | 0.131894i | 0.705876 | + | 0.0417085i | ||||
\(11\) | −0.833476 | − | 0.556911i | −0.251302 | − | 0.167915i | 0.423539 | − | 0.905878i | \(-0.360788\pi\) |
−0.674841 | + | 0.737963i | \(0.735788\pi\) | |||||||
\(12\) | −1.89250 | − | 2.83233i | −0.546318 | − | 0.817623i | ||||
\(13\) | −4.43010 | −1.22869 | −0.614344 | − | 0.789038i | \(-0.710579\pi\) | ||||
−0.614344 | + | 0.789038i | \(0.710579\pi\) | |||||||
\(14\) | −0.616963 | − | 0.923351i | −0.164890 | − | 0.246776i | ||||
\(15\) | −1.04276 | − | 7.54525i | −0.269239 | − | 1.94818i | ||||
\(16\) | 1.00000i | 0.250000i | ||||||||
\(17\) | −3.76821 | + | 1.67349i | −0.913926 | + | 0.405881i | ||||
\(18\) | −6.08369 | + | 6.08369i | −1.43394 | + | 1.43394i | ||||
\(19\) | 0.506906 | − | 0.209967i | 0.116292 | − | 0.0481698i | −0.323779 | − | 0.946133i | \(-0.604953\pi\) |
0.440071 | + | 0.897963i | \(0.354953\pi\) | |||||||
\(20\) | −0.976070 | + | 2.01179i | −0.218256 | + | 0.449849i | ||||
\(21\) | −2.67487 | + | 2.67487i | −0.583704 | + | 0.583704i | ||||
\(22\) | 0.833476 | − | 0.556911i | 0.177698 | − | 0.118734i | ||||
\(23\) | −0.609578 | − | 3.06456i | −0.127106 | − | 0.639004i | −0.990838 | − | 0.135053i | \(-0.956879\pi\) |
0.863733 | − | 0.503950i | \(-0.168121\pi\) | |||||||
\(24\) | 3.34096 | − | 0.664558i | 0.681970 | − | 0.135652i | ||||
\(25\) | −3.92729 | + | 3.09457i | −0.785458 | + | 0.618915i | ||||
\(26\) | 1.69533 | − | 4.09288i | 0.332481 | − | 0.802680i | ||||
\(27\) | 15.8713 | + | 10.6049i | 3.05444 | + | 2.04091i | ||||
\(28\) | 1.08917 | − | 0.216649i | 0.205833 | − | 0.0409428i | ||||
\(29\) | 0.588900 | − | 2.96060i | 0.109356 | − | 0.549770i | −0.886799 | − | 0.462156i | \(-0.847076\pi\) |
0.996155 | − | 0.0876136i | \(-0.0279241\pi\) | |||||||
\(30\) | 7.36995 | + | 1.92406i | 1.34556 | + | 0.351284i | ||||
\(31\) | −1.23768 | + | 0.826988i | −0.222293 | + | 0.148531i | −0.661731 | − | 0.749742i | \(-0.730178\pi\) |
0.439438 | + | 0.898273i | \(0.355178\pi\) | |||||||
\(32\) | −0.923880 | − | 0.382683i | −0.163320 | − | 0.0676495i | ||||
\(33\) | −2.41451 | − | 2.41451i | −0.420312 | − | 0.420312i | ||||
\(34\) | −0.104069 | − | 4.12179i | −0.0178477 | − | 0.706882i | ||||
\(35\) | 2.40264 | + | 0.627252i | 0.406119 | + | 0.106025i | ||||
\(36\) | −3.29247 | − | 7.94873i | −0.548745 | − | 1.32479i | ||||
\(37\) | −1.12655 | + | 5.66357i | −0.185204 | + | 0.931086i | 0.770653 | + | 0.637255i | \(0.219930\pi\) |
−0.955857 | + | 0.293831i | \(0.905070\pi\) | |||||||
\(38\) | 0.548671i | 0.0890063i | ||||||||
\(39\) | −14.8008 | − | 2.94406i | −2.37002 | − | 0.471427i | ||||
\(40\) | −1.48512 | − | 1.67165i | −0.234819 | − | 0.264311i | ||||
\(41\) | −1.75620 | − | 8.82901i | −0.274272 | − | 1.37886i | −0.834722 | − | 0.550672i | \(-0.814372\pi\) |
0.560449 | − | 0.828189i | \(-0.310628\pi\) | |||||||
\(42\) | −1.44763 | − | 3.49488i | −0.223374 | − | 0.539272i | ||||
\(43\) | 0.0722156 | + | 0.174344i | 0.0110128 | + | 0.0265872i | 0.929290 | − | 0.369350i | \(-0.120420\pi\) |
−0.918278 | + | 0.395937i | \(0.870420\pi\) | |||||||
\(44\) | 0.195561 | + | 0.983152i | 0.0294819 | + | 0.148216i | ||||
\(45\) | 1.13477 | − | 19.2048i | 0.169161 | − | 2.86289i | ||||
\(46\) | 3.06456 | + | 0.609578i | 0.451844 | + | 0.0898774i | ||||
\(47\) | − | 6.10055i | − | 0.889857i | −0.895566 | − | 0.444929i | \(-0.853229\pi\) | ||
0.895566 | − | 0.444929i | \(-0.146771\pi\) | |||||||
\(48\) | −0.664558 | + | 3.34096i | −0.0959207 | + | 0.482226i | ||||
\(49\) | 2.20685 | + | 5.32781i | 0.315264 | + | 0.761116i | ||||
\(50\) | −1.35610 | − | 4.81259i | −0.191782 | − | 0.680602i | ||||
\(51\) | −13.7016 | + | 3.08686i | −1.91860 | + | 0.432247i | ||||
\(52\) | 3.13255 | + | 3.13255i | 0.434407 | + | 0.434407i | ||||
\(53\) | 11.5237 | + | 4.77327i | 1.58290 | + | 0.655658i | 0.988870 | − | 0.148784i | \(-0.0475361\pi\) |
0.594030 | + | 0.804443i | \(0.297536\pi\) | |||||||
\(54\) | −15.8713 | + | 10.6049i | −2.15982 | + | 1.44314i | ||||
\(55\) | −0.566198 | + | 2.16877i | −0.0763461 | + | 0.292437i | ||||
\(56\) | −0.216649 | + | 1.08917i | −0.0289509 | + | 0.145546i | ||||
\(57\) | 1.83309 | − | 0.364624i | 0.242799 | − | 0.0482956i | ||||
\(58\) | 2.50988 | + | 1.67705i | 0.329563 | + | 0.220207i | ||||
\(59\) | 4.57691 | − | 11.0496i | 0.595862 | − | 1.43854i | −0.281900 | − | 0.959444i | \(-0.590965\pi\) |
0.877763 | − | 0.479095i | \(-0.159035\pi\) | |||||||
\(60\) | −4.59796 | + | 6.07264i | −0.593594 | + | 0.783975i | ||||
\(61\) | 1.88405 | − | 0.374760i | 0.241227 | − | 0.0479831i | −0.0729959 | − | 0.997332i | \(-0.523256\pi\) |
0.314223 | + | 0.949349i | \(0.398256\pi\) | |||||||
\(62\) | −0.290400 | − | 1.45994i | −0.0368808 | − | 0.185412i | ||||
\(63\) | −7.94418 | + | 5.30813i | −1.00087 | + | 0.668762i | ||||
\(64\) | 0.707107 | − | 0.707107i | 0.0883883 | − | 0.0883883i | ||||
\(65\) | 3.24444 | + | 9.35962i | 0.402423 | + | 1.16092i | ||||
\(66\) | 3.15471 | − | 1.30672i | 0.388318 | − | 0.160846i | ||||
\(67\) | 0.568902 | − | 0.568902i | 0.0695024 | − | 0.0695024i | −0.671501 | − | 0.741004i | \(-0.734350\pi\) |
0.741004 | + | 0.671501i | \(0.234350\pi\) | |||||||
\(68\) | 3.84786 | + | 1.48119i | 0.466622 | + | 0.179621i | ||||
\(69\) | − | 10.6437i | − | 1.28134i | ||||||
\(70\) | −1.49895 | + | 1.97971i | −0.179159 | + | 0.236620i | ||||
\(71\) | −2.52638 | − | 3.78099i | −0.299826 | − | 0.448721i | 0.650714 | − | 0.759323i | \(-0.274470\pi\) |
−0.950540 | + | 0.310601i | \(0.899470\pi\) | |||||||
\(72\) | 8.60364 | 1.01395 | ||||||||
\(73\) | −1.01360 | − | 1.51695i | −0.118632 | − | 0.177546i | 0.767401 | − | 0.641168i | \(-0.221550\pi\) |
−0.886033 | + | 0.463622i | \(0.846550\pi\) | |||||||
\(74\) | −4.80134 | − | 3.20816i | −0.558145 | − | 0.372941i | ||||
\(75\) | −15.1774 | + | 7.72893i | −1.75254 | + | 0.892460i | ||||
\(76\) | −0.506906 | − | 0.209967i | −0.0581461 | − | 0.0240849i | ||||
\(77\) | 1.02845 | − | 0.425997i | 0.117203 | − | 0.0485469i | ||||
\(78\) | 8.38397 | − | 12.5475i | 0.949298 | − | 1.42072i | ||||
\(79\) | −2.90998 | + | 4.35510i | −0.327399 | + | 0.489987i | −0.958256 | − | 0.285912i | \(-0.907703\pi\) |
0.630857 | + | 0.775899i | \(0.282703\pi\) | |||||||
\(80\) | 2.11273 | − | 0.732362i | 0.236211 | − | 0.0818806i | ||||
\(81\) | 27.7269 | + | 27.7269i | 3.08076 | + | 3.08076i | ||||
\(82\) | 8.82901 | + | 1.75620i | 0.975002 | + | 0.193940i | ||||
\(83\) | −4.60927 | + | 11.1278i | −0.505933 | + | 1.22143i | 0.440273 | + | 0.897864i | \(0.354882\pi\) |
−0.946206 | + | 0.323566i | \(0.895118\pi\) | |||||||
\(84\) | 3.78284 | 0.412741 | ||||||||
\(85\) | 6.29533 | + | 6.73563i | 0.682825 | + | 0.730582i | ||||
\(86\) | −0.188708 | −0.0203490 | ||||||||
\(87\) | 3.93498 | − | 9.49989i | 0.421874 | − | 1.01849i | ||||
\(88\) | −0.983152 | − | 0.195561i | −0.104804 | − | 0.0208469i | ||||
\(89\) | 4.95294 | + | 4.95294i | 0.525011 | + | 0.525011i | 0.919081 | − | 0.394070i | \(-0.128933\pi\) |
−0.394070 | + | 0.919081i | \(0.628933\pi\) | |||||||
\(90\) | 17.3087 | + | 8.39776i | 1.82450 | + | 0.885202i | ||||
\(91\) | 2.73321 | − | 4.09054i | 0.286518 | − | 0.428805i | ||||
\(92\) | −1.73593 | + | 2.59800i | −0.180983 | + | 0.270861i | ||||
\(93\) | −4.68460 | + | 1.94043i | −0.485771 | + | 0.201213i | ||||
\(94\) | 5.63618 | + | 2.33458i | 0.581327 | + | 0.240794i | ||||
\(95\) | −0.814844 | − | 0.917186i | −0.0836013 | − | 0.0941013i | ||||
\(96\) | −2.83233 | − | 1.89250i | −0.289073 | − | 0.193153i | ||||
\(97\) | 3.75997 | + | 5.62719i | 0.381767 | + | 0.571354i | 0.971736 | − | 0.236072i | \(-0.0758600\pi\) |
−0.589969 | + | 0.807426i | \(0.700860\pi\) | |||||||
\(98\) | −5.76678 | −0.582533 | ||||||||
\(99\) | −4.79146 | − | 7.17093i | −0.481560 | − | 0.720705i | ||||
\(100\) | 4.96521 | + | 0.588821i | 0.496521 | + | 0.0588821i | ||||
\(101\) | 0.342654i | 0.0340954i | 0.999855 | + | 0.0170477i | \(0.00542671\pi\) | ||||
−0.999855 | + | 0.0170477i | \(0.994573\pi\) | |||||||
\(102\) | 2.39148 | − | 13.8399i | 0.236792 | − | 1.37035i | ||||
\(103\) | −7.67310 | + | 7.67310i | −0.756053 | + | 0.756053i | −0.975602 | − | 0.219548i | \(-0.929542\pi\) |
0.219548 | + | 0.975602i | \(0.429542\pi\) | |||||||
\(104\) | −4.09288 | + | 1.69533i | −0.401340 | + | 0.166240i | ||||
\(105\) | 7.61026 | + | 3.69231i | 0.742685 | + | 0.360333i | ||||
\(106\) | −8.81985 | + | 8.81985i | −0.856659 | + | 0.856659i | ||||
\(107\) | −9.75732 | + | 6.51964i | −0.943276 | + | 0.630277i | −0.929182 | − | 0.369624i | \(-0.879487\pi\) |
−0.0140946 | + | 0.999901i | \(0.504487\pi\) | |||||||
\(108\) | −3.72394 | − | 18.7215i | −0.358337 | − | 1.80148i | ||||
\(109\) | 9.42080 | − | 1.87391i | 0.902349 | − | 0.179488i | 0.277952 | − | 0.960595i | \(-0.410344\pi\) |
0.624398 | + | 0.781107i | \(0.285344\pi\) | |||||||
\(110\) | −1.78701 | − | 1.35305i | −0.170385 | − | 0.129008i | ||||
\(111\) | −7.52754 | + | 18.1731i | −0.714483 | + | 1.72491i | ||||
\(112\) | −0.923351 | − | 0.616963i | −0.0872484 | − | 0.0582975i | ||||
\(113\) | 5.55310 | − | 1.10458i | 0.522392 | − | 0.103910i | 0.0731509 | − | 0.997321i | \(-0.476695\pi\) |
0.449241 | + | 0.893411i | \(0.351695\pi\) | |||||||
\(114\) | −0.364624 | + | 1.83309i | −0.0341502 | + | 0.171684i | ||||
\(115\) | −6.02816 | + | 3.53224i | −0.562129 | + | 0.329383i | ||||
\(116\) | −2.50988 | + | 1.67705i | −0.233036 | + | 0.155710i | ||||
\(117\) | −35.2137 | − | 14.5860i | −3.25550 | − | 1.34847i | ||||
\(118\) | 8.45702 | + | 8.45702i | 0.778532 | + | 0.778532i | ||||
\(119\) | 0.779632 | − | 4.51186i | 0.0714688 | − | 0.413602i | ||||
\(120\) | −3.85083 | − | 6.57186i | −0.351531 | − | 0.599926i | ||||
\(121\) | −3.82499 | − | 9.23433i | −0.347726 | − | 0.839485i | ||||
\(122\) | −0.374760 | + | 1.88405i | −0.0339292 | + | 0.170573i | ||||
\(123\) | − | 30.6645i | − | 2.76492i | ||||||
\(124\) | 1.45994 | + | 0.290400i | 0.131106 | + | 0.0260787i | ||||
\(125\) | 9.41421 | + | 6.03097i | 0.842033 | + | 0.539427i | ||||
\(126\) | −1.86397 | − | 9.37080i | −0.166055 | − | 0.834817i | ||||
\(127\) | 3.86473 | + | 9.33030i | 0.342940 | + | 0.827930i | 0.997416 | + | 0.0718470i | \(0.0228893\pi\) |
−0.654476 | + | 0.756083i | \(0.727111\pi\) | |||||||
\(128\) | 0.382683 | + | 0.923880i | 0.0338248 | + | 0.0816602i | ||||
\(129\) | 0.125408 | + | 0.630467i | 0.0110415 | + | 0.0555095i | ||||
\(130\) | −9.88876 | − | 0.584303i | −0.867301 | − | 0.0512468i | ||||
\(131\) | −3.08463 | − | 0.613572i | −0.269506 | − | 0.0536080i | 0.0584873 | − | 0.998288i | \(-0.481372\pi\) |
−0.327993 | + | 0.944680i | \(0.606372\pi\) | |||||||
\(132\) | 3.41463i | 0.297205i | ||||||||
\(133\) | −0.118869 | + | 0.597595i | −0.0103072 | + | 0.0518180i | ||||
\(134\) | 0.307887 | + | 0.743306i | 0.0265974 | + | 0.0642118i | ||||
\(135\) | 10.7818 | − | 41.2986i | 0.927945 | − | 3.55441i | ||||
\(136\) | −2.84096 | + | 2.98813i | −0.243610 | + | 0.256230i | ||||
\(137\) | −2.59083 | − | 2.59083i | −0.221350 | − | 0.221350i | 0.587717 | − | 0.809067i | \(-0.300027\pi\) |
−0.809067 | + | 0.587717i | \(0.800027\pi\) | |||||||
\(138\) | 9.83345 | + | 4.07315i | 0.837079 | + | 0.346729i | ||||
\(139\) | 9.79226 | − | 6.54298i | 0.830569 | − | 0.554968i | −0.0660271 | − | 0.997818i | \(-0.521032\pi\) |
0.896596 | + | 0.442849i | \(0.146032\pi\) | |||||||
\(140\) | −1.25539 | − | 2.14245i | −0.106099 | − | 0.181070i | ||||
\(141\) | 4.05417 | − | 20.3817i | 0.341423 | − | 1.71645i | ||||
\(142\) | 4.45998 | − | 0.887146i | 0.374274 | − | 0.0744476i | ||||
\(143\) | 3.69238 | + | 2.46717i | 0.308772 | + | 0.206315i | ||||
\(144\) | −3.29247 | + | 7.94873i | −0.274373 | + | 0.662394i | ||||
\(145\) | −6.68625 | + | 0.924043i | −0.555263 | + | 0.0767376i | ||||
\(146\) | 1.78937 | − | 0.355928i | 0.148089 | − | 0.0294568i | ||||
\(147\) | 3.83236 | + | 19.2666i | 0.316088 | + | 1.58908i | ||||
\(148\) | 4.80134 | − | 3.20816i | 0.394668 | − | 0.263709i | ||||
\(149\) | −11.9930 | + | 11.9930i | −0.982508 | + | 0.982508i | −0.999850 | − | 0.0173417i | \(-0.994480\pi\) |
0.0173417 | + | 0.999850i | \(0.494480\pi\) | |||||||
\(150\) | −1.33244 | − | 16.9799i | −0.108794 | − | 1.38640i | ||||
\(151\) | 10.3652 | − | 4.29340i | 0.843507 | − | 0.349392i | 0.0812715 | − | 0.996692i | \(-0.474102\pi\) |
0.762235 | + | 0.647300i | \(0.224102\pi\) | |||||||
\(152\) | 0.387969 | − | 0.387969i | 0.0314685 | − | 0.0314685i | ||||
\(153\) | −35.4624 | + | 0.895372i | −2.86697 | + | 0.0723866i | ||||
\(154\) | 1.11318i | 0.0897029i | ||||||||
\(155\) | 2.65363 | + | 2.00922i | 0.213145 | + | 0.161385i | ||||
\(156\) | 8.38397 | + | 12.5475i | 0.671255 | + | 1.00460i | ||||
\(157\) | −7.42419 | −0.592515 | −0.296257 | − | 0.955108i | \(-0.595739\pi\) | ||||
−0.296257 | + | 0.955108i | \(0.595739\pi\) | |||||||
\(158\) | −2.90998 | − | 4.35510i | −0.231506 | − | 0.346473i | ||||
\(159\) | 35.3280 | + | 23.6054i | 2.80170 | + | 1.87203i | ||||
\(160\) | −0.131894 | + | 2.23217i | −0.0104271 | + | 0.176469i | ||||
\(161\) | 3.20575 | + | 1.32786i | 0.252648 | + | 0.104650i | ||||
\(162\) | −36.2269 | + | 15.0057i | −2.84625 | + | 1.17896i | ||||
\(163\) | 8.75441 | − | 13.1019i | 0.685698 | − | 1.02622i | −0.311414 | − | 0.950274i | \(-0.600802\pi\) |
0.997112 | − | 0.0759457i | \(-0.0241976\pi\) | |||||||
\(164\) | −5.00124 | + | 7.48488i | −0.390531 | + | 0.584471i | ||||
\(165\) | −3.33292 | + | 6.86951i | −0.259467 | + | 0.534791i | ||||
\(166\) | −8.51681 | − | 8.51681i | −0.661033 | − | 0.661033i | ||||
\(167\) | −17.7908 | − | 3.53881i | −1.37669 | − | 0.273841i | −0.549376 | − | 0.835575i | \(-0.685134\pi\) |
−0.827318 | + | 0.561734i | \(0.810134\pi\) | |||||||
\(168\) | −1.44763 | + | 3.49488i | −0.111687 | + | 0.269636i | ||||
\(169\) | 6.62579 | 0.509676 | ||||||||
\(170\) | −8.63203 | + | 3.23851i | −0.662047 | + | 0.248383i | ||||
\(171\) | 4.72057 | 0.360991 | ||||||||
\(172\) | 0.0722156 | − | 0.174344i | 0.00550639 | − | 0.0132936i | ||||
\(173\) | 20.2455 | + | 4.02708i | 1.53924 | + | 0.306173i | 0.890551 | − | 0.454883i | \(-0.150319\pi\) |
0.648686 | + | 0.761056i | \(0.275319\pi\) | |||||||
\(174\) | 7.27090 | + | 7.27090i | 0.551205 | + | 0.551205i | ||||
\(175\) | −0.434382 | − | 5.53551i | −0.0328362 | − | 0.418445i | ||||
\(176\) | 0.556911 | − | 0.833476i | 0.0419787 | − | 0.0628256i | ||||
\(177\) | 22.6344 | − | 33.8747i | 1.70130 | − | 2.54618i | ||||
\(178\) | −6.47133 | + | 2.68051i | −0.485047 | + | 0.200913i | ||||
\(179\) | −6.30681 | − | 2.61237i | −0.471393 | − | 0.195257i | 0.134324 | − | 0.990937i | \(-0.457114\pi\) |
−0.605717 | + | 0.795680i | \(0.707114\pi\) | |||||||
\(180\) | −14.3823 | + | 12.7775i | −1.07199 | + | 0.952376i | ||||
\(181\) | 3.95885 | + | 2.64522i | 0.294259 | + | 0.196618i | 0.693933 | − | 0.720040i | \(-0.255876\pi\) |
−0.399674 | + | 0.916658i | \(0.630876\pi\) | |||||||
\(182\) | 2.73321 | + | 4.09054i | 0.202599 | + | 0.303211i | ||||
\(183\) | 6.54357 | 0.483714 | ||||||||
\(184\) | −1.73593 | − | 2.59800i | −0.127975 | − | 0.191527i | ||||
\(185\) | 12.7907 | − | 1.76768i | 0.940389 | − | 0.129962i | ||||
\(186\) | − | 5.07058i | − | 0.371793i | ||||||
\(187\) | 4.07270 | + | 0.703746i | 0.297825 | + | 0.0514630i | ||||
\(188\) | −4.31374 | + | 4.31374i | −0.314612 | + | 0.314612i | ||||
\(189\) | −19.5841 | + | 8.11199i | −1.42453 | + | 0.590060i | ||||
\(190\) | 1.15920 | − | 0.401826i | 0.0840970 | − | 0.0291515i | ||||
\(191\) | −7.17897 | + | 7.17897i | −0.519452 | + | 0.519452i | −0.917406 | − | 0.397954i | \(-0.869720\pi\) |
0.397954 | + | 0.917406i | \(0.369720\pi\) | |||||||
\(192\) | 2.83233 | − | 1.89250i | 0.204406 | − | 0.136579i | ||||
\(193\) | −1.50093 | − | 7.54568i | −0.108039 | − | 0.543150i | −0.996456 | − | 0.0841126i | \(-0.973194\pi\) |
0.888417 | − | 0.459037i | \(-0.151806\pi\) | |||||||
\(194\) | −6.63772 | + | 1.32032i | −0.476561 | + | 0.0947938i | ||||
\(195\) | 4.61952 | + | 33.4262i | 0.330811 | + | 2.39370i | ||||
\(196\) | 2.20685 | − | 5.32781i | 0.157632 | − | 0.380558i | ||||
\(197\) | 3.96501 | + | 2.64933i | 0.282495 | + | 0.188757i | 0.688743 | − | 0.725006i | \(-0.258163\pi\) |
−0.406248 | + | 0.913763i | \(0.633163\pi\) | |||||||
\(198\) | 8.45868 | − | 1.68254i | 0.601132 | − | 0.119573i | ||||
\(199\) | 2.16119 | − | 10.8650i | 0.153203 | − | 0.770201i | −0.825417 | − | 0.564523i | \(-0.809060\pi\) |
0.978620 | − | 0.205678i | \(-0.0659400\pi\) | |||||||
\(200\) | −2.44410 | + | 4.36192i | −0.172824 | + | 0.308434i | ||||
\(201\) | 2.27874 | − | 1.52261i | 0.160730 | − | 0.107397i | ||||
\(202\) | −0.316571 | − | 0.131128i | −0.0222739 | − | 0.00922614i | ||||
\(203\) | 2.37034 | + | 2.37034i | 0.166365 | + | 0.166365i | ||||
\(204\) | 11.8712 | + | 7.50574i | 0.831151 | + | 0.525507i | ||||
\(205\) | −17.3672 | + | 10.1764i | −1.21298 | + | 0.710752i | ||||
\(206\) | −4.15265 | − | 10.0254i | −0.289329 | − | 0.698502i | ||||
\(207\) | 5.24459 | − | 26.3663i | 0.364524 | − | 1.83259i | ||||
\(208\) | − | 4.43010i | − | 0.307172i | ||||||
\(209\) | −0.539427 | − | 0.107299i | −0.0373130 | − | 0.00742201i | ||||
\(210\) | −6.32357 | + | 5.61798i | −0.436368 | + | 0.387677i | ||||
\(211\) | 1.63864 | + | 8.23800i | 0.112809 | + | 0.567127i | 0.995303 | + | 0.0968050i | \(0.0308623\pi\) |
−0.882495 | + | 0.470322i | \(0.844138\pi\) | |||||||
\(212\) | −4.77327 | − | 11.5237i | −0.327829 | − | 0.791450i | ||||
\(213\) | −5.92784 | − | 14.3111i | −0.406169 | − | 0.980578i | ||||
\(214\) | −2.28939 | − | 11.5095i | −0.156500 | − | 0.786777i | ||||
\(215\) | 0.315454 | − | 0.280255i | 0.0215138 | − | 0.0191132i | ||||
\(216\) | 18.7215 | + | 3.72394i | 1.27384 | + | 0.253382i | ||||
\(217\) | − | 1.65303i | − | 0.112215i | ||||||
\(218\) | −1.87391 | + | 9.42080i | −0.126918 | + | 0.638057i | ||||
\(219\) | −2.37828 | − | 5.74167i | −0.160709 | − | 0.387986i | ||||
\(220\) | 1.93392 | − | 1.13319i | 0.130385 | − | 0.0763998i | ||||
\(221\) | 16.6936 | − | 7.41372i | 1.12293 | − | 0.498701i | ||||
\(222\) | −13.9091 | − | 13.9091i | −0.933517 | − | 0.933517i | ||||
\(223\) | −18.2576 | − | 7.56256i | −1.22262 | − | 0.506426i | −0.324379 | − | 0.945927i | \(-0.605155\pi\) |
−0.898242 | + | 0.439501i | \(0.855155\pi\) | |||||||
\(224\) | 0.923351 | − | 0.616963i | 0.0616940 | − | 0.0412226i | ||||
\(225\) | −41.4058 | + | 11.6674i | −2.76038 | + | 0.777828i | ||||
\(226\) | −1.10458 | + | 5.55310i | −0.0734756 | + | 0.369387i | ||||
\(227\) | −5.38919 | + | 1.07198i | −0.357693 | + | 0.0711496i | −0.370666 | − | 0.928766i | \(-0.620871\pi\) |
0.0129727 | + | 0.999916i | \(0.495871\pi\) | |||||||
\(228\) | −1.55402 | − | 1.03836i | −0.102917 | − | 0.0687672i | ||||
\(229\) | −1.33019 | + | 3.21137i | −0.0879016 | + | 0.212213i | −0.961717 | − | 0.274045i | \(-0.911638\pi\) |
0.873815 | + | 0.486258i | \(0.161638\pi\) | |||||||
\(230\) | −0.956488 | − | 6.92102i | −0.0630690 | − | 0.456359i | ||||
\(231\) | 3.71910 | − | 0.739775i | 0.244699 | − | 0.0486736i | ||||
\(232\) | −0.588900 | − | 2.96060i | −0.0386632 | − | 0.194373i | ||||
\(233\) | 10.0669 | − | 6.72649i | 0.659505 | − | 0.440667i | −0.180259 | − | 0.983619i | \(-0.557694\pi\) |
0.839764 | + | 0.542952i | \(0.182694\pi\) | |||||||
\(234\) | 26.9514 | − | 26.9514i | 1.76187 | − | 1.76187i | ||||
\(235\) | −12.8888 | + | 4.46782i | −0.840776 | + | 0.291448i | ||||
\(236\) | −11.0496 | + | 4.57691i | −0.719270 | + | 0.297931i | ||||
\(237\) | −12.6163 | + | 12.6163i | −0.819519 | + | 0.819519i | ||||
\(238\) | 3.87007 | + | 2.44690i | 0.250859 | + | 0.158609i | ||||
\(239\) | − | 14.2194i | − | 0.919776i | −0.887977 | − | 0.459888i | \(-0.847890\pi\) | ||
0.887977 | − | 0.459888i | \(-0.152110\pi\) | |||||||
\(240\) | 7.54525 | − | 1.04276i | 0.487044 | − | 0.0673097i | ||||
\(241\) | −2.87172 | − | 4.29783i | −0.184984 | − | 0.276848i | 0.727374 | − | 0.686241i | \(-0.240740\pi\) |
−0.912358 | + | 0.409393i | \(0.865740\pi\) | |||||||
\(242\) | 9.99517 | 0.642514 | ||||||||
\(243\) | 42.3935 | + | 63.4464i | 2.71955 | + | 4.07009i | ||||
\(244\) | −1.59722 | − | 1.06723i | −0.102251 | − | 0.0683221i | ||||
\(245\) | 9.64003 | − | 8.56438i | 0.615879 | − | 0.547158i | ||||
\(246\) | 28.3303 | + | 11.7348i | 1.80627 | + | 0.748183i | ||||
\(247\) | −2.24565 | + | 0.930177i | −0.142887 | + | 0.0591857i | ||||
\(248\) | −0.826988 | + | 1.23768i | −0.0525138 | + | 0.0785925i | ||||
\(249\) | −22.7944 | + | 34.1142i | −1.44454 | + | 2.16190i | ||||
\(250\) | −9.17456 | + | 6.38964i | −0.580250 | + | 0.404116i | ||||
\(251\) | −18.4621 | − | 18.4621i | −1.16531 | − | 1.16531i | −0.983295 | − | 0.182020i | \(-0.941736\pi\) |
−0.182020 | − | 0.983295i | \(-0.558264\pi\) | |||||||
\(252\) | 9.37080 | + | 1.86397i | 0.590305 | + | 0.117419i | ||||
\(253\) | −1.19862 | + | 2.89371i | −0.0753563 | + | 0.181926i | ||||
\(254\) | −10.0990 | −0.633670 | ||||||||
\(255\) | 16.5562 | + | 26.6871i | 1.03679 | + | 1.67121i | ||||
\(256\) | −1.00000 | −0.0625000 | ||||||||
\(257\) | −7.14288 | + | 17.2444i | −0.445561 | + | 1.07568i | 0.528407 | + | 0.848991i | \(0.322790\pi\) |
−0.973967 | + | 0.226688i | \(0.927210\pi\) | |||||||
\(258\) | −0.630467 | − | 0.125408i | −0.0392512 | − | 0.00780754i | ||||
\(259\) | −4.53442 | − | 4.53442i | −0.281755 | − | 0.281755i | ||||
\(260\) | 4.32409 | − | 8.91242i | 0.268169 | − | 0.552725i | ||||
\(261\) | 14.4287 | − | 21.5941i | 0.893114 | − | 1.33664i | ||||
\(262\) | 1.74731 | − | 2.61503i | 0.107949 | − | 0.161557i | ||||
\(263\) | 21.7344 | − | 9.00268i | 1.34020 | − | 0.555129i | 0.406652 | − | 0.913583i | \(-0.366696\pi\) |
0.933547 | + | 0.358454i | \(0.116696\pi\) | |||||||
\(264\) | −3.15471 | − | 1.30672i | −0.194159 | − | 0.0804232i | ||||
\(265\) | 1.64513 | − | 27.8422i | 0.101060 | − | 1.71034i | ||||
\(266\) | −0.506616 | − | 0.338510i | −0.0310626 | − | 0.0207554i | ||||
\(267\) | 13.2561 | + | 19.8391i | 0.811258 | + | 1.21413i | ||||
\(268\) | −0.804548 | −0.0491456 | ||||||||
\(269\) | 0.188978 | + | 0.282826i | 0.0115222 | + | 0.0172442i | 0.837186 | − | 0.546918i | \(-0.184199\pi\) |
−0.825664 | + | 0.564162i | \(0.809199\pi\) | |||||||
\(270\) | 34.0289 | + | 25.7653i | 2.07093 | + | 1.56803i | ||||
\(271\) | − | 2.26776i | − | 0.137757i | −0.997625 | − | 0.0688783i | \(-0.978058\pi\) | ||
0.997625 | − | 0.0688783i | \(-0.0219420\pi\) | |||||||
\(272\) | −1.67349 | − | 3.76821i | −0.101470 | − | 0.228482i | ||||
\(273\) | 11.8499 | − | 11.8499i | 0.717191 | − | 0.717191i | ||||
\(274\) | 3.38509 | − | 1.40215i | 0.204500 | − | 0.0847069i | ||||
\(275\) | 4.99670 | − | 0.392101i | 0.301313 | − | 0.0236446i | ||||
\(276\) | −7.52620 | + | 7.52620i | −0.453024 | + | 0.453024i | ||||
\(277\) | 6.89102 | − | 4.60443i | 0.414041 | − | 0.276654i | −0.331054 | − | 0.943612i | \(-0.607404\pi\) |
0.745095 | + | 0.666958i | \(0.232404\pi\) | |||||||
\(278\) | 2.29759 | + | 11.5508i | 0.137800 | + | 0.692769i | ||||
\(279\) | −12.5608 | + | 2.49849i | −0.751994 | + | 0.149581i | ||||
\(280\) | 2.45978 | − | 0.339943i | 0.147000 | − | 0.0203155i | ||||
\(281\) | −0.165173 | + | 0.398764i | −0.00985342 | + | 0.0237883i | −0.928730 | − | 0.370758i | \(-0.879098\pi\) |
0.918876 | + | 0.394546i | \(0.129098\pi\) | |||||||
\(282\) | 17.2788 | + | 11.5453i | 1.02894 | + | 0.687513i | ||||
\(283\) | 26.1280 | − | 5.19719i | 1.55315 | − | 0.308941i | 0.657415 | − | 0.753529i | \(-0.271650\pi\) |
0.895735 | + | 0.444588i | \(0.146650\pi\) | |||||||
\(284\) | −0.887146 | + | 4.45998i | −0.0526424 | + | 0.264651i | ||||
\(285\) | −2.11284 | − | 3.60579i | −0.125154 | − | 0.213589i | ||||
\(286\) | −3.69238 | + | 2.46717i | −0.218335 | + | 0.145887i | ||||
\(287\) | 9.23579 | + | 3.82559i | 0.545171 | + | 0.225817i | ||||
\(288\) | −6.08369 | − | 6.08369i | −0.358485 | − | 0.358485i | ||||
\(289\) | 11.3989 | − | 12.6121i | 0.670522 | − | 0.741890i | ||||
\(290\) | 1.70501 | − | 6.53091i | 0.100122 | − | 0.383508i | ||||
\(291\) | 8.82230 | + | 21.2989i | 0.517172 | + | 1.24856i | ||||
\(292\) | −0.355928 | + | 1.78937i | −0.0208291 | + | 0.104715i | ||||
\(293\) | 7.34635i | 0.429178i | 0.976704 | + | 0.214589i | \(0.0688413\pi\) | ||||
−0.976704 | + | 0.214589i | \(0.931159\pi\) | |||||||
\(294\) | −19.2666 | − | 3.83236i | −1.12365 | − | 0.223508i | ||||
\(295\) | −26.6969 | − | 1.57746i | −1.55435 | − | 0.0918430i | ||||
\(296\) | 1.12655 | + | 5.66357i | 0.0654797 | + | 0.329188i | ||||
\(297\) | −7.32240 | − | 17.6778i | −0.424889 | − | 1.02577i | ||||
\(298\) | −6.49059 | − | 15.6697i | −0.375989 | − | 0.907719i | ||||
\(299\) | 2.70049 | + | 13.5763i | 0.156173 | + | 0.785137i | ||||
\(300\) | 16.1972 | + | 5.26689i | 0.935149 | + | 0.304084i | ||||
\(301\) | −0.205535 | − | 0.0408834i | −0.0118468 | − | 0.00235648i | ||||
\(302\) | 11.2192i | 0.645592i | ||||||||
\(303\) | −0.227714 | + | 1.14479i | −0.0130818 | + | 0.0657667i | ||||
\(304\) | 0.209967 | + | 0.506906i | 0.0120425 | + | 0.0290731i | ||||
\(305\) | −2.17157 | − | 3.70603i | −0.124344 | − | 0.212206i | ||||
\(306\) | 12.7437 | − | 33.1056i | 0.728507 | − | 1.89252i | ||||
\(307\) | −10.1701 | − | 10.1701i | −0.580438 | − | 0.580438i | 0.354586 | − | 0.935024i | \(-0.384622\pi\) |
−0.935024 | + | 0.354586i | \(0.884622\pi\) | |||||||
\(308\) | −1.02845 | − | 0.425997i | −0.0586013 | − | 0.0242734i | ||||
\(309\) | −30.7347 | + | 20.5363i | −1.74844 | + | 1.16827i | ||||
\(310\) | −2.87178 | + | 1.68274i | −0.163106 | + | 0.0955732i | ||||
\(311\) | 5.14414 | − | 25.8613i | 0.291697 | − | 1.46646i | −0.505544 | − | 0.862801i | \(-0.668708\pi\) |
0.797242 | − | 0.603660i | \(-0.206292\pi\) | |||||||
\(312\) | −14.8008 | + | 2.94406i | −0.837929 | + | 0.166674i | ||||
\(313\) | −19.1536 | − | 12.7980i | −1.08262 | − | 0.723386i | −0.119606 | − | 0.992821i | \(-0.538163\pi\) |
−0.963019 | + | 0.269435i | \(0.913163\pi\) | |||||||
\(314\) | 2.84111 | − | 6.85905i | 0.160333 | − | 0.387079i | ||||
\(315\) | 17.0327 | + | 12.8965i | 0.959683 | + | 0.726633i | ||||
\(316\) | 5.13719 | − | 1.02185i | 0.288989 | − | 0.0574835i | ||||
\(317\) | 3.81173 | + | 19.1629i | 0.214088 | + | 1.07629i | 0.927006 | + | 0.375046i | \(0.122373\pi\) |
−0.712918 | + | 0.701247i | \(0.752627\pi\) | |||||||
\(318\) | −35.3280 | + | 23.6054i | −1.98110 | + | 1.32373i | ||||
\(319\) | −2.13962 | + | 2.13962i | −0.119796 | + | 0.119796i | ||||
\(320\) | −2.01179 | − | 0.976070i | −0.112462 | − | 0.0545640i | ||||
\(321\) | −36.9315 | + | 15.2975i | −2.06131 | + | 0.853824i | ||||
\(322\) | −2.45357 | + | 2.45357i | −0.136732 | + | 0.136732i | ||||
\(323\) | −1.55875 | + | 1.63950i | −0.0867313 | + | 0.0912245i | ||||
\(324\) | − | 39.2117i | − | 2.17843i | ||||||
\(325\) | 17.3983 | − | 13.7093i | 0.965084 | − | 0.760453i | ||||
\(326\) | 8.75441 | + | 13.1019i | 0.484862 | + | 0.725647i | ||||
\(327\) | 32.7198 | 1.80941 | ||||||||
\(328\) | −5.00124 | − | 7.48488i | −0.276147 | − | 0.413283i | ||||
\(329\) | 5.63295 | + | 3.76382i | 0.310555 | + | 0.207506i | ||||
\(330\) | −5.07115 | − | 5.70806i | −0.279157 | − | 0.314219i | ||||
\(331\) | 14.3226 | + | 5.93263i | 0.787243 | + | 0.326087i | 0.739835 | − | 0.672789i | \(-0.234904\pi\) |
0.0474085 | + | 0.998876i | \(0.484904\pi\) | |||||||
\(332\) | 11.1278 | − | 4.60927i | 0.610715 | − | 0.252966i | ||||
\(333\) | −27.6018 | + | 41.3090i | −1.51257 | + | 2.26372i | ||||
\(334\) | 10.0777 | − | 15.0823i | 0.551426 | − | 0.825268i | ||||
\(335\) | −1.61858 | − | 0.785296i | −0.0884325 | − | 0.0429053i | ||||
\(336\) | −2.67487 | − | 2.67487i | −0.145926 | − | 0.145926i | ||||
\(337\) | −7.52942 | − | 1.49770i | −0.410154 | − | 0.0815847i | −0.0142990 | − | 0.999898i | \(-0.504552\pi\) |
−0.395855 | + | 0.918313i | \(0.629552\pi\) | |||||||
\(338\) | −2.53558 | + | 6.12143i | −0.137917 | + | 0.332962i | ||||
\(339\) | 19.2867 | 1.04751 | ||||||||
\(340\) | 0.311339 | − | 9.21429i | 0.0168847 | − | 0.499715i | ||||
\(341\) | 1.49213 | 0.0808034 | ||||||||
\(342\) | −1.80648 | + | 4.36124i | −0.0976835 | + | 0.235829i | ||||
\(343\) | −13.9051 | − | 2.76591i | −0.750807 | − | 0.149345i | ||||
\(344\) | 0.133437 | + | 0.133437i | 0.00719444 | + | 0.00719444i | ||||
\(345\) | −22.4872 | + | 7.79501i | −1.21067 | + | 0.419669i | ||||
\(346\) | −11.4682 | + | 17.1633i | −0.616532 | + | 0.922705i | ||||
\(347\) | 9.07091 | − | 13.5756i | 0.486952 | − | 0.728775i | −0.503895 | − | 0.863765i | \(-0.668100\pi\) |
0.990847 | + | 0.134990i | \(0.0431002\pi\) | |||||||
\(348\) | −9.49989 | + | 3.93498i | −0.509247 | + | 0.210937i | ||||
\(349\) | −1.69599 | − | 0.702502i | −0.0907842 | − | 0.0376041i | 0.336829 | − | 0.941566i | \(-0.390646\pi\) |
−0.427613 | + | 0.903962i | \(0.640646\pi\) | |||||||
\(350\) | 5.28037 | + | 1.71703i | 0.282248 | + | 0.0917791i | ||||
\(351\) | −70.3117 | − | 46.9808i | −3.75296 | − | 2.50765i | ||||
\(352\) | 0.556911 | + | 0.833476i | 0.0296834 | + | 0.0444244i | ||||
\(353\) | −19.2067 | −1.02227 | −0.511134 | − | 0.859501i | \(-0.670775\pi\) | ||||
−0.511134 | + | 0.859501i | \(0.670775\pi\) | |||||||
\(354\) | 22.6344 | + | 33.8747i | 1.20300 | + | 1.80042i | ||||
\(355\) | −6.13801 | + | 8.10662i | −0.325772 | + | 0.430255i | ||||
\(356\) | − | 7.00452i | − | 0.371239i | ||||||
\(357\) | 5.60311 | − | 14.5558i | 0.296548 | − | 0.770377i | ||||
\(358\) | 4.82702 | − | 4.82702i | 0.255116 | − | 0.255116i | ||||
\(359\) | −14.0392 | + | 5.81524i | −0.740962 | + | 0.306916i | −0.721048 | − | 0.692885i | \(-0.756339\pi\) |
−0.0199139 | + | 0.999802i | \(0.506339\pi\) | |||||||
\(360\) | −6.30098 | − | 18.1772i | −0.332091 | − | 0.958023i | ||||
\(361\) | −13.2222 | + | 13.2222i | −0.695903 | + | 0.695903i | ||||
\(362\) | −3.95885 | + | 2.64522i | −0.208073 | + | 0.139030i | ||||
\(363\) | −6.64237 | − | 33.3934i | −0.348634 | − | 1.75270i | ||||
\(364\) | −4.82512 | + | 0.959775i | −0.252905 | + | 0.0503059i | ||||
\(365\) | −2.46260 | + | 3.25242i | −0.128898 | + | 0.170239i | ||||
\(366\) | −2.50411 | + | 6.04547i | −0.130892 | + | 0.316002i | ||||
\(367\) | −12.2318 | − | 8.17305i | −0.638496 | − | 0.426630i | 0.193738 | − | 0.981053i | \(-0.437939\pi\) |
−0.832235 | + | 0.554424i | \(0.812939\pi\) | |||||||
\(368\) | 3.06456 | − | 0.609578i | 0.159751 | − | 0.0317764i | ||||
\(369\) | 15.1097 | − | 75.9617i | 0.786580 | − | 3.95441i | ||||
\(370\) | −3.26166 | + | 12.4935i | −0.169566 | + | 0.649506i | ||||
\(371\) | −11.5171 | + | 7.69547i | −0.597937 | + | 0.399529i | ||||
\(372\) | 4.68460 | + | 1.94043i | 0.242885 | + | 0.100606i | ||||
\(373\) | 1.82717 | + | 1.82717i | 0.0946071 | + | 0.0946071i | 0.752826 | − | 0.658219i | \(-0.228690\pi\) |
−0.658219 | + | 0.752826i | \(0.728690\pi\) | |||||||
\(374\) | −2.20873 | + | 3.49337i | −0.114211 | + | 0.180638i | ||||
\(375\) | 27.4446 | + | 26.4055i | 1.41723 | + | 1.36358i | ||||
\(376\) | −2.33458 | − | 5.63618i | −0.120397 | − | 0.290664i | ||||
\(377\) | −2.60889 | + | 13.1158i | −0.134364 | + | 0.675496i | ||||
\(378\) | − | 21.1977i | − | 1.09029i | ||||||
\(379\) | 1.77933 | + | 0.353931i | 0.0913981 | + | 0.0181802i | 0.240577 | − | 0.970630i | \(-0.422663\pi\) |
−0.149179 | + | 0.988810i | \(0.547663\pi\) | |||||||
\(380\) | −0.0723664 | + | 1.22473i | −0.00371232 | + | 0.0628274i | ||||
\(381\) | 6.71140 | + | 33.7405i | 0.343835 | + | 1.72858i | ||||
\(382\) | −3.88523 | − | 9.37977i | −0.198786 | − | 0.479911i | ||||
\(383\) | −7.90246 | − | 19.0782i | −0.403797 | − | 0.974852i | −0.986736 | − | 0.162336i | \(-0.948097\pi\) |
0.582939 | − | 0.812516i | \(-0.301903\pi\) | |||||||
\(384\) | 0.664558 | + | 3.34096i | 0.0339131 | + | 0.170493i | ||||
\(385\) | −1.65321 | − | 1.86085i | −0.0842556 | − | 0.0948378i | ||||
\(386\) | 7.54568 | + | 1.50093i | 0.384065 | + | 0.0763953i | ||||
\(387\) | 1.62358i | 0.0825312i | ||||||||
\(388\) | 1.32032 | − | 6.63772i | 0.0670293 | − | 0.336979i | ||||
\(389\) | 0.669963 | + | 1.61743i | 0.0339685 | + | 0.0820071i | 0.939953 | − | 0.341303i | \(-0.110868\pi\) |
−0.905985 | + | 0.423310i | \(0.860868\pi\) | |||||||
\(390\) | −32.6496 | − | 8.52379i | −1.65328 | − | 0.431619i | ||||
\(391\) | 7.42552 | + | 10.5278i | 0.375525 | + | 0.532413i | ||||
\(392\) | 4.07773 | + | 4.07773i | 0.205956 | + | 0.205956i | ||||
\(393\) | −9.89788 | − | 4.09984i | −0.499282 | − | 0.206809i | ||||
\(394\) | −3.96501 | + | 2.64933i | −0.199754 | + | 0.133472i | ||||
\(395\) | 11.3323 | + | 2.95851i | 0.570191 | + | 0.148859i | ||||
\(396\) | −1.68254 | + | 8.45868i | −0.0845507 | + | 0.425065i | ||||
\(397\) | −1.64219 | + | 0.326653i | −0.0824193 | + | 0.0163942i | −0.236128 | − | 0.971722i | \(-0.575878\pi\) |
0.153708 | + | 0.988116i | \(0.450878\pi\) | |||||||
\(398\) | 9.21092 | + | 6.15454i | 0.461702 | + | 0.308499i | ||||
\(399\) | −0.794272 | + | 1.91754i | −0.0397634 | + | 0.0959972i | ||||
\(400\) | −3.09457 | − | 3.92729i | −0.154729 | − | 0.196365i | ||||
\(401\) | 20.5762 | − | 4.09286i | 1.02753 | − | 0.204388i | 0.347581 | − | 0.937650i | \(-0.387003\pi\) |
0.679946 | + | 0.733262i | \(0.262003\pi\) | |||||||
\(402\) | 0.534669 | + | 2.68796i | 0.0266669 | + | 0.134063i | ||||
\(403\) | 5.48303 | − | 3.66364i | 0.273129 | − | 0.182499i | ||||
\(404\) | 0.242293 | − | 0.242293i | 0.0120545 | − | 0.0120545i | ||||
\(405\) | 38.2734 | − | 78.8856i | 1.90182 | − | 3.91986i | ||||
\(406\) | −3.09700 | + | 1.28282i | −0.153702 | + | 0.0636653i | ||||
\(407\) | 4.09306 | − | 4.09306i | 0.202885 | − | 0.202885i | ||||
\(408\) | −11.4773 | + | 8.09525i | −0.568212 | + | 0.400775i | ||||
\(409\) | 38.0662i | 1.88225i | 0.338057 | + | 0.941126i | \(0.390230\pi\) | ||||
−0.338057 | + | 0.941126i | \(0.609770\pi\) | |||||||
\(410\) | −2.75565 | − | 19.9395i | −0.136092 | − | 0.984743i | ||||
\(411\) | −6.93410 | − | 10.3776i | −0.342034 | − | 0.511890i | ||||
\(412\) | 10.8514 | 0.534611 | ||||||||
\(413\) | 7.37890 | + | 11.0433i | 0.363092 | + | 0.543406i | ||||
\(414\) | 22.3523 | + | 14.9353i | 1.09856 | + | 0.734031i | ||||
\(415\) | 26.8856 | + | 1.58861i | 1.31976 | + | 0.0779817i | ||||
\(416\) | 4.09288 | + | 1.69533i | 0.200670 | + | 0.0831202i | ||||
\(417\) | 37.0637 | − | 15.3523i | 1.81502 | − | 0.751805i | ||||
\(418\) | 0.305561 | − | 0.457304i | 0.0149455 | − | 0.0223675i | ||||
\(419\) | −7.41531 | + | 11.0978i | −0.362262 | + | 0.542163i | −0.967169 | − | 0.254133i | \(-0.918210\pi\) |
0.604908 | + | 0.796296i | \(0.293210\pi\) | |||||||
\(420\) | −2.77041 | − | 7.99213i | −0.135182 | − | 0.389976i | ||||
\(421\) | 14.3935 | + | 14.3935i | 0.701496 | + | 0.701496i | 0.964732 | − | 0.263236i | \(-0.0847897\pi\) |
−0.263236 | + | 0.964732i | \(0.584790\pi\) | |||||||
\(422\) | −8.23800 | − | 1.63864i | −0.401019 | − | 0.0797677i | ||||
\(423\) | 20.0859 | − | 48.4916i | 0.976610 | − | 2.35774i | ||||
\(424\) | 12.4731 | 0.605749 | ||||||||
\(425\) | 9.62014 | − | 18.2333i | 0.466645 | − | 0.884445i | ||||
\(426\) | 15.4902 | 0.750502 | ||||||||
\(427\) | −0.816352 | + | 1.97085i | −0.0395060 | + | 0.0953760i | ||||
\(428\) | 11.5095 | + | 2.28939i | 0.556335 | + | 0.110662i | ||||
\(429\) | 10.6965 | + | 10.6965i | 0.516433 | + | 0.516433i | ||||
\(430\) | 0.138203 | + | 0.398691i | 0.00666474 | + | 0.0192266i | ||||
\(431\) | −11.5624 | + | 17.3044i | −0.556943 | + | 0.833524i | −0.997951 | − | 0.0639791i | \(-0.979621\pi\) |
0.441008 | + | 0.897503i | \(0.354621\pi\) | |||||||
\(432\) | −10.6049 | + | 15.8713i | −0.510228 | + | 0.763611i | ||||
\(433\) | −6.00076 | + | 2.48560i | −0.288378 | + | 0.119450i | −0.522183 | − | 0.852833i | \(-0.674882\pi\) |
0.233805 | + | 0.972284i | \(0.424882\pi\) | |||||||
\(434\) | 1.52720 | + | 0.632587i | 0.0733080 | + | 0.0303652i | ||||
\(435\) | −22.9526 | − | 1.35621i | −1.10049 | − | 0.0650254i | ||||
\(436\) | −7.98657 | − | 5.33646i | −0.382487 | − | 0.255570i | ||||
\(437\) | −0.952456 | − | 1.42545i | −0.0455621 | − | 0.0681886i | ||||
\(438\) | 6.21474 | 0.296952 | ||||||||
\(439\) | 10.0507 | + | 15.0419i | 0.479692 | + | 0.717910i | 0.989841 | − | 0.142176i | \(-0.0454099\pi\) |
−0.510149 | + | 0.860086i | \(0.670410\pi\) | |||||||
\(440\) | 0.306855 | + | 2.22036i | 0.0146287 | + | 0.105851i | ||||
\(441\) | 49.6153i | 2.36263i | ||||||||
\(442\) | 0.461036 | + | 18.2600i | 0.0219293 | + | 0.868537i | ||||
\(443\) | −26.2032 | + | 26.2032i | −1.24495 | + | 1.24495i | −0.287029 | + | 0.957922i | \(0.592668\pi\) |
−0.957922 | + | 0.287029i | \(0.907332\pi\) | |||||||
\(444\) | 18.1731 | − | 7.52754i | 0.862457 | − | 0.357241i | ||||
\(445\) | 6.83691 | − | 14.0916i | 0.324100 | − | 0.668006i | ||||
\(446\) | 13.9738 | − | 13.9738i | 0.661678 | − | 0.661678i | ||||
\(447\) | −48.0383 | + | 32.0982i | −2.27213 | + | 1.51819i | ||||
\(448\) | 0.216649 | + | 1.08917i | 0.0102357 | + | 0.0514583i | ||||
\(449\) | −31.4989 | + | 6.26553i | −1.48653 | + | 0.295689i | −0.870552 | − | 0.492077i | \(-0.836238\pi\) |
−0.615975 | + | 0.787765i | \(0.711238\pi\) | |||||||
\(450\) | 5.06600 | − | 42.7189i | 0.238814 | − | 2.01379i | ||||
\(451\) | −3.45322 | + | 8.33682i | −0.162606 | + | 0.392565i | ||||
\(452\) | −4.70769 | − | 3.14558i | −0.221431 | − | 0.147956i | ||||
\(453\) | 37.4829 | − | 7.45581i | 1.76110 | − | 0.350304i | ||||
\(454\) | 1.07198 | − | 5.38919i | 0.0503104 | − | 0.252927i | ||||
\(455\) | −10.6439 | − | 2.77879i | −0.498994 | − | 0.130272i | ||||
\(456\) | 1.55402 | − | 1.03836i | 0.0727735 | − | 0.0486257i | ||||
\(457\) | −22.9675 | − | 9.51343i | −1.07437 | − | 0.445020i | −0.225841 | − | 0.974164i | \(-0.572513\pi\) |
−0.848532 | + | 0.529145i | \(0.822513\pi\) | |||||||
\(458\) | −2.45788 | − | 2.45788i | −0.114849 | − | 0.114849i | ||||
\(459\) | −77.5538 | − | 13.4010i | −3.61990 | − | 0.625505i | ||||
\(460\) | 6.76022 | + | 1.76488i | 0.315197 | + | 0.0822880i | ||||
\(461\) | 4.92471 | + | 11.8893i | 0.229367 | + | 0.553740i | 0.996101 | − | 0.0882249i | \(-0.0281194\pi\) |
−0.766734 | + | 0.641965i | \(0.778119\pi\) | |||||||
\(462\) | −0.739775 | + | 3.71910i | −0.0344175 | + | 0.173028i | ||||
\(463\) | 26.9358i | 1.25181i | 0.779898 | + | 0.625907i | \(0.215271\pi\) | ||||
−0.779898 | + | 0.625907i | \(0.784729\pi\) | |||||||
\(464\) | 2.96060 | + | 0.588900i | 0.137442 | + | 0.0273390i | ||||
\(465\) | 7.53043 | + | 8.47623i | 0.349215 | + | 0.393076i | ||||
\(466\) | 2.36203 | + | 11.8747i | 0.109419 | + | 0.550086i | ||||
\(467\) | −4.57740 | − | 11.0508i | −0.211817 | − | 0.511371i | 0.781886 | − | 0.623422i | \(-0.214258\pi\) |
−0.993702 | + | 0.112051i | \(0.964258\pi\) | |||||||
\(468\) | 14.5860 | + | 35.2137i | 0.674237 | + | 1.62775i | ||||
\(469\) | 0.174304 | + | 0.876287i | 0.00804863 | + | 0.0404632i | ||||
\(470\) | 0.804626 | − | 13.6175i | 0.0371146 | − | 0.628129i | ||||
\(471\) | −24.8039 | − | 4.93380i | −1.14290 | − | 0.227338i | ||||
\(472\) | − | 11.9600i | − | 0.550505i | ||||||
\(473\) | 0.0369040 | − | 0.185529i | 0.00169685 | − | 0.00853063i | ||||
\(474\) | −6.82791 | − | 16.4840i | −0.313617 | − | 0.757137i | ||||
\(475\) | −1.34101 | + | 2.39326i | −0.0615297 | + | 0.109810i | ||||
\(476\) | −3.74165 | + | 2.63909i | −0.171498 | + | 0.120962i | ||||
\(477\) | 75.8828 | + | 75.8828i | 3.47443 | + | 3.47443i | ||||
\(478\) | 13.1370 | + | 5.44152i | 0.600872 | + | 0.248890i | ||||
\(479\) | 23.8498 | − | 15.9359i | 1.08972 | − | 0.728131i | 0.125202 | − | 0.992131i | \(-0.460042\pi\) |
0.964523 | + | 0.264000i | \(0.0850420\pi\) | |||||||
\(480\) | −1.92406 | + | 7.36995i | −0.0878210 | + | 0.336391i | ||||
\(481\) | 4.99075 | − | 25.0902i | 0.227559 | − | 1.14401i | ||||
\(482\) | 5.06964 | − | 1.00841i | 0.230916 | − | 0.0459320i | ||||
\(483\) | 9.82782 | + | 6.56674i | 0.447181 | + | 0.298797i | ||||
\(484\) | −3.82499 | + | 9.23433i | −0.173863 | + | 0.419742i | ||||
\(485\) | 9.13510 | − | 12.0650i | 0.414803 | − | 0.547841i | ||||
\(486\) | −74.8401 | + | 14.8866i | −3.39482 | + | 0.675271i | ||||
\(487\) | −6.56730 | − | 33.0161i | −0.297593 | − | 1.49610i | −0.783116 | − | 0.621876i | \(-0.786371\pi\) |
0.485523 | − | 0.874224i | \(-0.338629\pi\) | |||||||
\(488\) | 1.59722 | − | 1.06723i | 0.0723026 | − | 0.0483110i | ||||
\(489\) | 37.9551 | − | 37.9551i | 1.71639 | − | 1.71639i | ||||
\(490\) | 4.22337 | + | 12.1837i | 0.190792 | + | 0.550402i | ||||
\(491\) | 11.5798 | − | 4.79652i | 0.522590 | − | 0.216464i | −0.105764 | − | 0.994391i | \(-0.533729\pi\) |
0.628354 | + | 0.777927i | \(0.283729\pi\) | |||||||
\(492\) | −21.6831 | + | 21.6831i | −0.977548 | + | 0.977548i | ||||
\(493\) | 2.73543 | + | 12.1417i | 0.123198 | + | 0.546834i | ||||
\(494\) | − | 2.43067i | − | 0.109361i | ||||||
\(495\) | −11.6412 | + | 15.3748i | −0.523232 | + | 0.691046i | ||||
\(496\) | −0.826988 | − | 1.23768i | −0.0371329 | − | 0.0555733i | ||||
\(497\) | 5.04986 | 0.226517 | ||||||||
\(498\) | −22.7944 | − | 34.1142i | −1.02144 | − | 1.52870i | ||||
\(499\) | −5.43966 | − | 3.63466i | −0.243512 | − | 0.162710i | 0.427825 | − | 0.903862i | \(-0.359280\pi\) |
−0.671338 | + | 0.741152i | \(0.734280\pi\) | |||||||
\(500\) | −2.39231 | − | 10.9214i | −0.106987 | − | 0.488420i | ||||
\(501\) | −57.0866 | − | 23.6460i | −2.55044 | − | 1.05643i | ||||
\(502\) | 24.1218 | − | 9.99159i | 1.07661 | − | 0.445947i | ||||
\(503\) | −5.47341 | + | 8.19153i | −0.244047 | + | 0.365242i | −0.933190 | − | 0.359383i | \(-0.882987\pi\) |
0.689143 | + | 0.724625i | \(0.257987\pi\) | |||||||
\(504\) | −5.30813 | + | 7.94418i | −0.236443 | + | 0.353862i | ||||
\(505\) | 0.723938 | − | 0.250947i | 0.0322148 | − | 0.0111670i | ||||
\(506\) | −2.21475 | − | 2.21475i | −0.0984577 | − | 0.0984577i | ||||
\(507\) | 22.1365 | + | 4.40322i | 0.983116 | + | 0.195554i | ||||
\(508\) | 3.86473 | − | 9.33030i | 0.171470 | − | 0.413965i | ||||
\(509\) | −32.3534 | −1.43404 | −0.717020 | − | 0.697052i | \(-0.754494\pi\) | ||||
−0.717020 | + | 0.697052i | \(0.754494\pi\) | |||||||
\(510\) | −30.9915 | + | 5.08326i | −1.37232 | + | 0.225090i | ||||
\(511\) | 2.02603 | 0.0896264 | ||||||||
\(512\) | 0.382683 | − | 0.923880i | 0.0169124 | − | 0.0408301i | ||||
\(513\) | 10.2720 | + | 2.04322i | 0.453519 | + | 0.0902104i | ||||
\(514\) | −13.1983 | − | 13.1983i | −0.582153 | − | 0.582153i | ||||
\(515\) | 21.8307 | + | 10.5917i | 0.961976 | + | 0.466728i | ||||
\(516\) | 0.357131 | − | 0.534484i | 0.0157218 | − | 0.0235294i | ||||
\(517\) | −3.39746 | + | 5.08466i | −0.149420 | + | 0.223623i | ||||
\(518\) | 5.92451 | − | 2.45401i | 0.260308 | − | 0.107823i | ||||
\(519\) | 64.9632 | + | 26.9086i | 2.85157 | + | 1.18116i | ||||
\(520\) | 6.57924 | + | 7.40557i | 0.288519 | + | 0.324756i | ||||
\(521\) | 6.37903 | + | 4.26233i | 0.279471 | + | 0.186736i | 0.687404 | − | 0.726276i | \(-0.258750\pi\) |
−0.407933 | + | 0.913012i | \(0.633750\pi\) | |||||||
\(522\) | 14.4287 | + | 21.5941i | 0.631527 | + | 0.945147i | ||||
\(523\) | −21.2279 | −0.928230 | −0.464115 | − | 0.885775i | \(-0.653628\pi\) | ||||
−0.464115 | + | 0.885775i | \(0.653628\pi\) | |||||||
\(524\) | 1.74731 | + | 2.61503i | 0.0763314 | + | 0.114238i | ||||
\(525\) | 2.22741 | − | 18.7826i | 0.0972122 | − | 0.819738i | ||||
\(526\) | 23.5251i | 1.02574i | ||||||||
\(527\) | 3.27987 | − | 5.18750i | 0.142873 | − | 0.225971i | ||||
\(528\) | 2.41451 | − | 2.41451i | 0.105078 | − | 0.105078i | ||||
\(529\) | 12.2293 | − | 5.06555i | 0.531709 | − | 0.220241i | ||||
\(530\) | 25.0933 | + | 12.1747i | 1.08998 | + | 0.528834i | ||||
\(531\) | 72.7612 | − | 72.7612i | 3.15757 | − | 3.15757i | ||||
\(532\) | 0.506616 | − | 0.338510i | 0.0219646 | − | 0.0146763i | ||||
\(533\) | 7.78014 | + | 39.1134i | 0.336995 | + | 1.69419i | ||||
\(534\) | −23.4018 | + | 4.65491i | −1.01270 | + | 0.201438i | ||||
\(535\) | 20.9202 | + | 15.8399i | 0.904457 | + | 0.684818i | ||||
\(536\) | 0.307887 | − | 0.743306i | 0.0132987 | − | 0.0321059i | ||||
\(537\) | −19.3347 | − | 12.9190i | −0.834355 | − | 0.557498i | ||||
\(538\) | −0.333616 | + | 0.0663603i | −0.0143832 | + | 0.00286099i | ||||
\(539\) | 1.12776 | − | 5.66962i | 0.0485759 | − | 0.244208i | ||||
\(540\) | −36.8263 | + | 21.5786i | −1.58475 | + | 0.928597i | ||||
\(541\) | −22.8895 | + | 15.2943i | −0.984095 | + | 0.657551i | −0.939892 | − | 0.341471i | \(-0.889075\pi\) |
−0.0442028 | + | 0.999023i | \(0.514075\pi\) | |||||||
\(542\) | 2.09514 | + | 0.867834i | 0.0899938 | + | 0.0372766i | ||||
\(543\) | 11.4685 | + | 11.4685i | 0.492159 | + | 0.492159i | ||||
\(544\) | 4.12179 | − | 0.104069i | 0.176720 | − | 0.00446192i | ||||
\(545\) | −10.8585 | − | 18.5313i | −0.465128 | − | 0.793792i | ||||
\(546\) | 6.41314 | + | 15.4827i | 0.274457 | + | 0.662598i | ||||
\(547\) | 1.09867 | − | 5.52336i | 0.0469755 | − | 0.236162i | −0.950163 | − | 0.311752i | \(-0.899084\pi\) |
0.997139 | + | 0.0755903i | \(0.0240841\pi\) | |||||||
\(548\) | 3.66399i | 0.156518i | ||||||||
\(549\) | 16.2096 | + | 3.22430i | 0.691811 | + | 0.137610i | ||||
\(550\) | −1.54990 | + | 4.76640i | −0.0660880 | + | 0.203240i | ||||
\(551\) | −0.323113 | − | 1.62440i | −0.0137651 | − | 0.0692016i | ||||
\(552\) | −4.07315 | − | 9.83345i | −0.173365 | − | 0.418539i | ||||
\(553\) | −2.22593 | − | 5.37387i | −0.0946561 | − | 0.228520i | ||||
\(554\) | 1.61686 | + | 8.12851i | 0.0686939 | + | 0.345347i | ||||
\(555\) | 43.9078 | + | 2.59441i | 1.86378 | + | 0.110127i | ||||
\(556\) | −11.5508 | − | 2.29759i | −0.489861 | − | 0.0974395i | ||||
\(557\) | 27.2007i | 1.15253i | 0.817262 | + | 0.576266i | \(0.195491\pi\) | ||||
−0.817262 | + | 0.576266i | \(0.804509\pi\) | |||||||
\(558\) | 2.49849 | − | 12.5608i | 0.105770 | − | 0.531740i | ||||
\(559\) | −0.319922 | − | 0.772361i | −0.0135313 | − | 0.0326674i | ||||
\(560\) | −0.627252 | + | 2.40264i | −0.0265062 | + | 0.101530i | ||||
\(561\) | 13.1390 | + | 5.05773i | 0.554731 | + | 0.213538i | ||||
\(562\) | −0.305201 | − | 0.305201i | −0.0128741 | − | 0.0128741i | ||||
\(563\) | −36.8345 | − | 15.2574i | −1.55239 | − | 0.643021i | −0.568644 | − | 0.822583i | \(-0.692532\pi\) |
−0.983747 | + | 0.179562i | \(0.942532\pi\) | |||||||
\(564\) | −17.2788 | + | 11.5453i | −0.727567 | + | 0.486145i | ||||
\(565\) | −6.40056 | − | 10.9233i | −0.269274 | − | 0.459545i | ||||
\(566\) | −5.19719 | + | 26.1280i | −0.218454 | + | 1.09824i | ||||
\(567\) | −42.7081 | + | 8.49517i | −1.79357 | + | 0.356763i | ||||
\(568\) | −3.78099 | − | 2.52638i | −0.158647 | − | 0.106004i | ||||
\(569\) | 4.40995 | − | 10.6465i | 0.184875 | − | 0.446327i | −0.804085 | − | 0.594515i | \(-0.797344\pi\) |
0.988959 | + | 0.148188i | \(0.0473442\pi\) | |||||||
\(570\) | 4.13987 | − | 0.572131i | 0.173400 | − | 0.0239639i | ||||
\(571\) | 21.2192 | − | 4.22076i | 0.887996 | − | 0.176633i | 0.270043 | − | 0.962848i | \(-0.412962\pi\) |
0.617953 | + | 0.786215i | \(0.287962\pi\) | |||||||
\(572\) | −0.866355 | − | 4.35546i | −0.0362241 | − | 0.182111i | ||||
\(573\) | −28.7555 | + | 19.2138i | −1.20128 | + | 0.802668i | ||||
\(574\) | −7.06877 | + | 7.06877i | −0.295045 | + | 0.295045i | ||||
\(575\) | 11.8775 | + | 10.1490i | 0.495325 | + | 0.423243i | ||||
\(576\) | 7.94873 | − | 3.29247i | 0.331197 | − | 0.137186i | ||||
\(577\) | 30.0318 | − | 30.0318i | 1.25024 | − | 1.25024i | 0.294630 | − | 0.955612i | \(-0.404804\pi\) |
0.955612 | − | 0.294630i | \(-0.0951962\pi\) | |||||||
\(578\) | 7.28993 | + | 15.3576i | 0.303221 | + | 0.638793i | ||||
\(579\) | − | 26.2073i | − | 1.08914i | ||||||
\(580\) | 5.38129 | + | 4.07450i | 0.223446 | + | 0.169184i | ||||
\(581\) | −7.43107 | − | 11.1214i | −0.308293 | − | 0.461393i | ||||
\(582\) | −23.0538 | −0.955610 | ||||||||
\(583\) | −6.94643 | − | 10.3961i | −0.287692 | − | 0.430561i | ||||
\(584\) | −1.51695 | − | 1.01360i | −0.0627720 | − | 0.0419429i | ||||
\(585\) | −5.02714 | + | 85.0793i | −0.207847 | + | 3.51760i | ||||
\(586\) | −6.78714 | − | 2.81133i | −0.280374 | − | 0.116135i | ||||
\(587\) | −0.926898 | + | 0.383934i | −0.0382572 | + | 0.0158466i | −0.401730 | − | 0.915758i | \(-0.631591\pi\) |
0.363473 | + | 0.931605i | \(0.381591\pi\) | |||||||
\(588\) | 10.9136 | − | 16.3334i | 0.450071 | − | 0.673578i | ||||
\(589\) | −0.453745 | + | 0.679077i | −0.0186962 | + | 0.0279809i | ||||
\(590\) | 11.6738 | − | 24.0610i | 0.480604 | − | 0.990577i | ||||
\(591\) | 11.4863 | + | 11.4863i | 0.472483 | + | 0.472483i | ||||
\(592\) | −5.66357 | − | 1.12655i | −0.232771 | − | 0.0463011i | ||||
\(593\) | −3.40175 | + | 8.21255i | −0.139693 | + | 0.337249i | −0.978207 | − | 0.207631i | \(-0.933425\pi\) |
0.838514 | + | 0.544880i | \(0.183425\pi\) | |||||||
\(594\) | 19.1344 | 0.785092 | ||||||||
\(595\) | −10.1033 | + | 1.65716i | −0.414197 | + | 0.0679371i | ||||
\(596\) | 16.9607 | 0.694738 | ||||||||
\(597\) | 14.4409 | − | 34.8634i | 0.591026 | − | 1.42686i | ||||
\(598\) | −13.5763 | − | 2.70049i | −0.555176 | − | 0.110431i | ||||
\(599\) | 6.14617 | + | 6.14617i | 0.251126 | + | 0.251126i | 0.821432 | − | 0.570306i | \(-0.193176\pi\) |
−0.570306 | + | 0.821432i | \(0.693176\pi\) | |||||||
\(600\) | −11.0644 | + | 12.9488i | −0.451702 | + | 0.528631i | ||||
\(601\) | 10.2301 | − | 15.3104i | 0.417294 | − | 0.624525i | −0.561959 | − | 0.827165i | \(-0.689952\pi\) |
0.979253 | + | 0.202640i | \(0.0649522\pi\) | |||||||
\(602\) | 0.116426 | − | 0.174244i | 0.00474518 | − | 0.00710166i | ||||
\(603\) | 6.39514 | − | 2.64895i | 0.260430 | − | 0.107874i | ||||
\(604\) | −10.3652 | − | 4.29340i | −0.421753 | − | 0.174696i | ||||
\(605\) | −16.7084 | + | 14.8441i | −0.679294 | + | 0.603497i | ||||
\(606\) | −0.970509 | − | 0.648474i | −0.0394243 | − | 0.0263424i | ||||
\(607\) | 23.2009 | + | 34.7226i | 0.941696 | + | 1.40935i | 0.912183 | + | 0.409783i | \(0.134396\pi\) |
0.0295133 | + | 0.999564i | \(0.490604\pi\) | |||||||
\(608\) | −0.548671 | −0.0222516 | ||||||||
\(609\) | 6.34399 | + | 9.49445i | 0.257071 | + | 0.384734i | ||||
\(610\) | 4.25495 | − | 0.588035i | 0.172278 | − | 0.0238089i | ||||
\(611\) | 27.0261i | 1.09336i | ||||||||
\(612\) | 25.7088 | + | 24.4426i | 1.03922 | + | 0.988033i | ||||
\(613\) | −14.8737 | + | 14.8737i | −0.600741 | + | 0.600741i | −0.940509 | − | 0.339768i | \(-0.889651\pi\) |
0.339768 | + | 0.940509i | \(0.389651\pi\) | |||||||
\(614\) | 13.2879 | − | 5.50402i | 0.536255 | − | 0.222124i | ||||
\(615\) | −64.7859 | + | 22.4575i | −2.61242 | + | 0.905574i | ||||
\(616\) | 0.787140 | − | 0.787140i | 0.0317148 | − | 0.0317148i | ||||
\(617\) | 23.6669 | − | 15.8137i | 0.952792 | − | 0.636635i | 0.0210586 | − | 0.999778i | \(-0.493296\pi\) |
0.931733 | + | 0.363143i | \(0.118296\pi\) | |||||||
\(618\) | −7.21139 | − | 36.2541i | −0.290085 | − | 1.45835i | ||||
\(619\) | −15.5083 | + | 3.08480i | −0.623332 | + | 0.123988i | −0.496644 | − | 0.867954i | \(-0.665435\pi\) |
−0.126688 | + | 0.991943i | \(0.540435\pi\) | |||||||
\(620\) | −0.455666 | − | 3.29714i | −0.0183000 | − | 0.132416i | ||||
\(621\) | 22.8245 | − | 55.1031i | 0.915914 | − | 2.21121i | ||||
\(622\) | 21.9242 | + | 14.6493i | 0.879079 | + | 0.587382i | ||||
\(623\) | −7.62909 | + | 1.51752i | −0.305653 | + | 0.0607982i | ||||
\(624\) | 2.94406 | − | 14.8008i | 0.117857 | − | 0.592505i | ||||
\(625\) | 5.84723 | − | 24.3066i | 0.233889 | − | 0.972263i | ||||
\(626\) | 19.1536 | − | 12.7980i | 0.765531 | − | 0.511511i | ||||
\(627\) | −1.73090 | − | 0.716961i | −0.0691254 | − | 0.0286327i | ||||
\(628\) | 5.24969 | + | 5.24969i | 0.209486 | + | 0.209486i | ||||
\(629\) | −5.23283 | − | 23.2268i | −0.208646 | − | 0.926114i | ||||
\(630\) | −18.4329 | + | 10.8009i | −0.734384 | + | 0.430318i | ||||
\(631\) | −12.6072 | − | 30.4365i | −0.501885 | − | 1.21166i | −0.948456 | − | 0.316910i | \(-0.897355\pi\) |
0.446570 | − | 0.894749i | \(-0.352645\pi\) | |||||||
\(632\) | −1.02185 | + | 5.13719i | −0.0406470 | + | 0.204346i | ||||
\(633\) | 28.6118i | 1.13722i | ||||||||
\(634\) | −19.1629 | − | 3.81173i | −0.761054 | − | 0.151383i | ||||
\(635\) | 16.8820 | − | 14.9983i | 0.669944 | − | 0.595190i | ||||
\(636\) | −8.28913 | − | 41.6723i | −0.328685 | − | 1.65241i | ||||
\(637\) | −9.77657 | − | 23.6027i | −0.387362 | − | 0.935174i | ||||
\(638\) | −1.15796 | − | 2.79555i | −0.0458439 | − | 0.110677i | ||||
\(639\) | −7.63269 | − | 38.3721i | −0.301944 | − | 1.51798i | ||||
\(640\) | 1.67165 | − | 1.48512i | 0.0660777 | − | 0.0587046i | ||||
\(641\) | 13.3488 | + | 2.65524i | 0.527246 | + | 0.104876i | 0.451534 | − | 0.892254i | \(-0.350877\pi\) |
0.0757122 | + | 0.997130i | \(0.475877\pi\) | |||||||
\(642\) | − | 39.9744i | − | 1.57766i | ||||||
\(643\) | 0.480598 | − | 2.41613i | 0.0189529 | − | 0.0952828i | −0.970151 | − | 0.242501i | \(-0.922032\pi\) |
0.989104 | + | 0.147219i | \(0.0470321\pi\) | |||||||
\(644\) | −1.32786 | − | 3.20575i | −0.0523252 | − | 0.126324i | ||||
\(645\) | 1.24017 | − | 0.726683i | 0.0488315 | − | 0.0286131i | ||||
\(646\) | −0.918195 | − | 2.06751i | −0.0361259 | − | 0.0813451i | ||||
\(647\) | −21.2530 | − | 21.2530i | −0.835542 | − | 0.835542i | 0.152727 | − | 0.988268i | \(-0.451195\pi\) |
−0.988268 | + | 0.152727i | \(0.951195\pi\) | |||||||
\(648\) | 36.2269 | + | 15.0057i | 1.42313 | + | 0.589478i | ||||
\(649\) | −9.96840 | + | 6.66067i | −0.391294 | + | 0.261454i | ||||
\(650\) | 6.00767 | + | 21.3202i | 0.235640 | + | 0.836249i | ||||
\(651\) | 1.09853 | − | 5.52270i | 0.0430549 | − | 0.216452i | ||||
\(652\) | −15.4547 | + | 3.07414i | −0.605255 | + | 0.120393i | ||||
\(653\) | −4.35193 | − | 2.90787i | −0.170304 | − | 0.113794i | 0.467497 | − | 0.883995i | \(-0.345156\pi\) |
−0.637801 | + | 0.770201i | \(0.720156\pi\) | |||||||
\(654\) | −12.5213 | + | 30.2292i | −0.489623 | + | 1.18205i | ||||
\(655\) | 0.962755 | + | 6.96637i | 0.0376180 | + | 0.272199i | ||||
\(656\) | 8.82901 | − | 1.75620i | 0.344715 | − | 0.0685681i | ||||
\(657\) | −3.06227 | − | 15.3951i | −0.119471 | − | 0.600620i | ||||
\(658\) | −5.63295 | + | 3.76382i | −0.219595 | + | 0.146729i | ||||
\(659\) | −5.87271 | + | 5.87271i | −0.228768 | + | 0.228768i | −0.812178 | − | 0.583410i | \(-0.801718\pi\) |
0.583410 | + | 0.812178i | \(0.301718\pi\) | |||||||
\(660\) | 7.21421 | − | 2.50075i | 0.280813 | − | 0.0973414i | ||||
\(661\) | 29.9673 | − | 12.4128i | 1.16559 | − | 0.482804i | 0.285858 | − | 0.958272i | \(-0.407721\pi\) |
0.879733 | + | 0.475468i | \(0.157721\pi\) | |||||||
\(662\) | −10.9621 | + | 10.9621i | −0.426053 | + | 0.426053i | ||||
\(663\) | 60.6994 | − | 13.6751i | 2.35737 | − | 0.531097i | ||||
\(664\) | 12.0446i | 0.467421i | ||||||||
\(665\) | 1.34961 | − | 0.186517i | 0.0523358 | − | 0.00723283i | ||||
\(666\) | −27.6018 | − | 41.3090i | −1.06955 | − | 1.60069i | ||||
\(667\) | −9.43190 | −0.365205 | ||||||||
\(668\) | 10.0777 | + | 15.0823i | 0.389917 | + | 0.583552i | ||||
\(669\) | −55.9722 | − | 37.3994i | −2.16401 | − | 1.44595i | ||||
\(670\) | 1.34492 | − | 1.19485i | 0.0519589 | − | 0.0461612i | ||||
\(671\) | −1.77901 | − | 0.736892i | −0.0686781 | − | 0.0284474i | ||||
\(672\) | 3.49488 | − | 1.44763i | 0.134818 | − | 0.0558435i | ||||
\(673\) | −1.33538 | + | 1.99854i | −0.0514751 | + | 0.0770379i | −0.856314 | − | 0.516455i | \(-0.827251\pi\) |
0.804839 | + | 0.593493i | \(0.202251\pi\) | |||||||
\(674\) | 4.26508 | − | 6.38314i | 0.164285 | − | 0.245869i | ||||
\(675\) | −95.1490 | + | 7.46653i | −3.66229 | + | 0.287387i | ||||
\(676\) | −4.68514 | − | 4.68514i | −0.180198 | − | 0.180198i | ||||
\(677\) | −41.0135 | − | 8.15809i | −1.57628 | − | 0.313541i | −0.672021 | − | 0.740532i | \(-0.734573\pi\) |
−0.904256 | + | 0.426992i | \(0.859573\pi\) | |||||||
\(678\) | −7.38071 | + | 17.8186i | −0.283455 | + | 0.684320i | ||||
\(679\) | −7.51563 | −0.288423 | ||||||||
\(680\) | 8.39375 | + | 3.81379i | 0.321885 | + | 0.146252i | ||||
\(681\) | −18.7175 | −0.717255 | ||||||||
\(682\) | −0.571014 | + | 1.37855i | −0.0218652 | + | 0.0527874i | ||||
\(683\) | −23.5331 | − | 4.68103i | −0.900470 | − | 0.179115i | −0.276916 | − | 0.960894i | \(-0.589312\pi\) |
−0.623555 | + | 0.781780i | \(0.714312\pi\) | |||||||
\(684\) | −3.33795 | − | 3.33795i | −0.127630 | − | 0.127630i | ||||
\(685\) | −3.57631 | + | 7.37117i | −0.136644 | + | 0.281638i | ||||
\(686\) | 7.87663 | − | 11.7882i | 0.300731 | − | 0.450076i | ||||
\(687\) | −6.57826 | + | 9.84506i | −0.250976 | + | 0.375612i | ||||
\(688\) | −0.174344 | + | 0.0722156i | −0.00664680 | + | 0.00275319i | ||||
\(689\) | −51.0511 | − | 21.1460i | −1.94489 | − | 0.805600i | ||||
\(690\) | 1.40383 | − | 23.7585i | 0.0534430 | − | 0.904470i | ||||
\(691\) | 37.4684 | + | 25.0356i | 1.42536 | + | 0.952398i | 0.998851 | + | 0.0479168i | \(0.0152582\pi\) |
0.426513 | + | 0.904481i | \(0.359742\pi\) | |||||||
\(692\) | −11.4682 | − | 17.1633i | −0.435954 | − | 0.652451i | ||||
\(693\) | 9.57743 | 0.363817 | ||||||||
\(694\) | 9.07091 | + | 13.5756i | 0.344327 | + | 0.515322i | ||||
\(695\) | −20.9951 | − | 15.8966i | −0.796388 | − | 0.602993i | ||||
\(696\) | − | 10.2826i | − | 0.389761i | ||||||
\(697\) | 21.3930 | + | 30.3306i | 0.810317 | + | 1.14885i | ||||
\(698\) | 1.29805 | − | 1.29805i | 0.0491321 | − | 0.0491321i | ||||
\(699\) | 38.1032 | − | 15.7829i | 1.44120 | − | 0.596963i | ||||
\(700\) | −3.60704 | + | 4.22135i | −0.136333 | + | 0.159552i | ||||
\(701\) | −28.9028 | + | 28.9028i | −1.09164 | + | 1.09164i | −0.0962904 | + | 0.995353i | \(0.530698\pi\) |
−0.995353 | + | 0.0962904i | \(0.969302\pi\) | |||||||
\(702\) | 70.3117 | − | 46.9808i | 2.65374 | − | 1.77317i | ||||
\(703\) | 0.618108 | + | 3.10744i | 0.0233124 | + | 0.117199i | ||||
\(704\) | −0.983152 | + | 0.195561i | −0.0370539 | + | 0.00737048i | ||||
\(705\) | −46.0302 | + | 6.36140i | −1.73360 | + | 0.239584i | ||||
\(706\) | 7.35008 | − | 17.7447i | 0.276624 | − | 0.667829i | ||||
\(707\) | −0.316390 | − | 0.211405i | −0.0118991 | − | 0.00795071i | ||||
\(708\) | −39.9580 | + | 7.94813i | −1.50171 | + | 0.298709i | ||||
\(709\) | −8.57537 | + | 43.1113i | −0.322055 | + | 1.61908i | 0.392675 | + | 0.919677i | \(0.371550\pi\) |
−0.714729 | + | 0.699401i | \(0.753450\pi\) | |||||||
\(710\) | −5.14063 | − | 8.77305i | −0.192924 | − | 0.329247i | ||||
\(711\) | −37.4697 | + | 25.0364i | −1.40522 | + | 0.938940i | ||||
\(712\) | 6.47133 | + | 2.68051i | 0.242523 | + | 0.100457i | ||||
\(713\) | 3.28881 | + | 3.28881i | 0.123167 | + | 0.123167i | ||||
\(714\) | 11.3036 | + | 10.7469i | 0.423027 | + | 0.402192i | ||||
\(715\) | 2.50831 | − | 9.60788i | 0.0938056 | − | 0.359314i | ||||
\(716\) | 2.61237 | + | 6.30681i | 0.0976287 | + | 0.235697i | ||||
\(717\) | 9.44961 | − | 47.5064i | 0.352902 | − | 1.77416i | ||||
\(718\) | − | 15.1959i | − | 0.567108i | ||||||
\(719\) | −2.24438 | − | 0.446435i | −0.0837012 | − | 0.0166492i | 0.153062 | − | 0.988217i | \(-0.451087\pi\) |
−0.236763 | + | 0.971567i | \(0.576087\pi\) | |||||||
\(720\) | 19.2048 | + | 1.13477i | 0.715722 | + | 0.0422903i | ||||
\(721\) | −2.35094 | − | 11.8190i | −0.0875537 | − | 0.440162i | ||||
\(722\) | −7.15578 | − | 17.2756i | −0.266311 | − | 0.642931i | ||||
\(723\) | −6.73814 | − | 16.2673i | −0.250594 | − | 0.604988i | ||||
\(724\) | −0.928878 | − | 4.66979i | −0.0345215 | − | 0.173551i | ||||
\(725\) | 6.84901 | + | 13.4495i | 0.254366 | + | 0.499503i | ||||
\(726\) | 33.3934 | + | 6.64237i | 1.23935 | + | 0.246521i | ||||
\(727\) | − | 3.30429i | − | 0.122549i | −0.998121 | − | 0.0612747i | \(-0.980483\pi\) | ||
0.998121 | − | 0.0612747i | \(-0.0195166\pi\) | |||||||
\(728\) | 0.959775 | − | 4.82512i | 0.0355716 | − | 0.178831i | ||||
\(729\) | 54.4542 | + | 131.464i | 2.01682 | + | 4.86904i | ||||
\(730\) | −2.06245 | − | 3.51979i | −0.0763346 | − | 0.130273i | ||||
\(731\) | −0.563886 | − | 0.536113i | −0.0208561 | − | 0.0198289i | ||||
\(732\) | −4.62700 | − | 4.62700i | −0.171019 | − | 0.171019i | ||||
\(733\) | 31.5964 | + | 13.0877i | 1.16704 | + | 0.483404i | 0.880213 | − | 0.474579i | \(-0.157400\pi\) |
0.286827 | + | 0.957982i | \(0.407400\pi\) | |||||||
\(734\) | 12.2318 | − | 8.17305i | 0.451485 | − | 0.301673i | ||||
\(735\) | 37.8985 | − | 22.2069i | 1.39791 | − | 0.819113i | ||||
\(736\) | −0.609578 | + | 3.06456i | −0.0224693 | + | 0.112961i | ||||
\(737\) | −0.790993 | + | 0.157338i | −0.0291366 | + | 0.00579563i | ||||
\(738\) | 64.3972 | + | 43.0288i | 2.37049 | + | 1.58391i | ||||
\(739\) | −15.4004 | + | 37.1799i | −0.566514 | + | 1.36769i | 0.337961 | + | 0.941160i | \(0.390263\pi\) |
−0.904475 | + | 0.426526i | \(0.859737\pi\) | |||||||
\(740\) | −10.2943 | − | 7.79443i | −0.378426 | − | 0.286529i | ||||
\(741\) | −8.12077 | + | 1.61532i | −0.298324 | + | 0.0593403i | ||||
\(742\) | −2.70229 | − | 13.5853i | −0.0992042 | − | 0.498733i | ||||
\(743\) | 31.3758 | − | 20.9647i | 1.15107 | − | 0.769119i | 0.174569 | − | 0.984645i | \(-0.444147\pi\) |
0.976498 | + | 0.215526i | \(0.0691467\pi\) | |||||||
\(744\) | −3.58544 | + | 3.58544i | −0.131449 | + | 0.131449i | ||||
\(745\) | 34.1213 | + | 16.5549i | 1.25011 | + | 0.606523i | ||||
\(746\) | −2.38731 | + | 0.988856i | −0.0874056 | + | 0.0362046i | ||||
\(747\) | −73.2756 | + | 73.2756i | −2.68101 | + | 2.68101i | ||||
\(748\) | −2.38221 | − | 3.37746i | −0.0871022 | − | 0.123492i | ||||
\(749\) | − | 13.0318i | − | 0.476172i | ||||||
\(750\) | −34.8981 | + | 15.2505i | −1.27430 | + | 0.556870i | ||||
\(751\) | 11.8751 | + | 17.7723i | 0.433328 | + | 0.648521i | 0.982299 | − | 0.187321i | \(-0.0599803\pi\) |
−0.548971 | + | 0.835841i | \(0.684980\pi\) | |||||||
\(752\) | 6.10055 | 0.222464 | ||||||||
\(753\) | −49.4119 | − | 73.9501i | −1.80067 | − | 2.69489i | ||||
\(754\) | −11.1190 | − | 7.42948i | −0.404930 | − | 0.270566i | ||||
\(755\) | −16.6619 | − | 18.7546i | −0.606388 | − | 0.682548i | ||||
\(756\) | 19.5841 | + | 8.11199i | 0.712266 | + | 0.295030i | ||||
\(757\) | −31.2607 | + | 12.9486i | −1.13619 | + | 0.470625i | −0.869880 | − | 0.493263i | \(-0.835804\pi\) |
−0.266309 | + | 0.963888i | \(0.585804\pi\) | |||||||
\(758\) | −1.00791 | + | 1.50844i | −0.0366089 | + | 0.0547891i | ||||
\(759\) | −5.92756 | + | 8.87122i | −0.215157 | + | 0.322005i | ||||
\(760\) | −1.10381 | − | 0.535542i | −0.0400394 | − | 0.0194261i | ||||
\(761\) | −24.4932 | − | 24.4932i | −0.887877 | − | 0.887877i | 0.106442 | − | 0.994319i | \(-0.466054\pi\) |
−0.994319 | + | 0.106442i | \(0.966054\pi\) | |||||||
\(762\) | −33.7405 | − | 6.71140i | −1.22229 | − | 0.243128i | ||||
\(763\) | −4.08201 | + | 9.85484i | −0.147779 | + | 0.356769i | ||||
\(764\) | 10.1526 | 0.367308 | ||||||||
\(765\) | 27.8630 | + | 74.2669i | 1.00739 | + | 2.68513i | ||||
\(766\) | 20.6501 | 0.746119 | ||||||||
\(767\) | −20.2762 | + | 48.9510i | −0.732129 | + | 1.76752i | ||||
\(768\) | −3.34096 | − | 0.664558i | −0.120556 | − | 0.0239802i | ||||
\(769\) | −27.9366 | − | 27.9366i | −1.00742 | − | 1.00742i | −0.999972 | − | 0.00744621i | \(-0.997630\pi\) |
−0.00744621 | − | 0.999972i | \(-0.502370\pi\) | |||||||
\(770\) | 2.35186 | − | 0.815254i | 0.0847552 | − | 0.0293797i | ||||
\(771\) | −35.3240 | + | 52.8661i | −1.27216 | + | 1.90393i | ||||
\(772\) | −4.27428 | + | 6.39692i | −0.153835 | + | 0.230230i | ||||
\(773\) | 43.6329 | − | 18.0733i | 1.56937 | − | 0.650053i | 0.582683 | − | 0.812700i | \(-0.302003\pi\) |
0.986684 | + | 0.162647i | \(0.0520031\pi\) | |||||||
\(774\) | −1.49999 | − | 0.621317i | −0.0539161 | − | 0.0223328i | ||||
\(775\) | 2.30154 | − | 7.07790i | 0.0826736 | − | 0.254246i | ||||
\(776\) | 5.62719 | + | 3.75997i | 0.202004 | + | 0.134975i | ||||
\(777\) | −12.1359 | − | 18.1627i | −0.435374 | − | 0.651583i | ||||
\(778\) | −1.75070 | −0.0627656 | ||||||||
\(779\) | −2.74403 | − | 4.10674i | −0.0983153 | − | 0.147139i | ||||
\(780\) | 20.3694 | − | 26.9024i | 0.729342 | − | 0.963261i | ||||
\(781\) | 4.55833i | 0.163110i | ||||||||
\(782\) | −12.5680 | + | 2.83148i | −0.449431 | + | 0.101253i | ||||
\(783\) | 40.7435 | − | 40.7435i | 1.45605 | − | 1.45605i | ||||
\(784\) | −5.32781 | + | 2.20685i | −0.190279 | + | 0.0788161i | ||||
\(785\) | 5.43719 | + | 15.6853i | 0.194062 | + | 0.559834i | ||||
\(786\) | 7.57551 | − | 7.57551i | 0.270210 | − | 0.270210i | ||||
\(787\) | 25.9285 | − | 17.3249i | 0.924252 | − | 0.617565i | 0.000269208 | − | 1.00000i | \(-0.499914\pi\) |
0.923983 | + | 0.382435i | \(0.124914\pi\) | |||||||
\(788\) | −0.930323 | − | 4.67705i | −0.0331414 | − | 0.166613i | ||||
\(789\) | 78.5965 | − | 15.6338i | 2.79811 | − | 0.556578i | ||||
\(790\) | −7.07000 | + | 9.33753i | −0.251539 | + | 0.332214i | ||||
\(791\) | −2.40614 | + | 5.80894i | −0.0855526 | + | 0.206542i | ||||
\(792\) | −7.17093 | − | 4.79146i | −0.254808 | − | 0.170257i | ||||
\(793\) | −8.34651 | + | 1.66022i | −0.296393 | + | 0.0589563i | ||||
\(794\) | 0.326653 | − | 1.64219i | 0.0115925 | − | 0.0582793i | ||||
\(795\) | 23.9991 | − | 91.9265i | 0.851160 | − | 3.26030i | ||||
\(796\) | −9.21092 | + | 6.15454i | −0.326473 | + | 0.218142i | ||||
\(797\) | 21.5715 | + | 8.93522i | 0.764103 | + | 0.316502i | 0.730481 | − | 0.682933i | \(-0.239296\pi\) |
0.0336218 | + | 0.999435i | \(0.489296\pi\) | |||||||
\(798\) | −1.46762 | − | 1.46762i | −0.0519533 | − | 0.0519533i | ||||
\(799\) | 10.2092 | + | 22.9882i | 0.361176 | + | 0.813264i | ||||
\(800\) | 4.81259 | − | 1.35610i | 0.170151 | − | 0.0479455i | ||||
\(801\) | 23.0622 | + | 55.6770i | 0.814862 | + | 1.96725i | ||||
\(802\) | −4.09286 | + | 20.5762i | −0.144524 | + | 0.726571i | ||||
\(803\) | 1.82883i | 0.0645379i | ||||||||
\(804\) | −2.68796 | − | 0.534669i | −0.0947971 | − | 0.0188563i | ||||
\(805\) | 0.457655 | − | 7.74537i | 0.0161302 | − | 0.272988i | ||||
\(806\) | 1.28650 | + | 6.46767i | 0.0453150 | + | 0.227814i | ||||
\(807\) | 0.443414 | + | 1.07050i | 0.0156089 | + | 0.0376832i | ||||
\(808\) | 0.131128 | + | 0.316571i | 0.00461307 | + | 0.0111369i | ||||
\(809\) | −0.811177 | − | 4.07806i | −0.0285194 | − | 0.143377i | 0.963902 | − | 0.266257i | \(-0.0857870\pi\) |
−0.992422 | + | 0.122880i | \(0.960787\pi\) | |||||||
\(810\) | 58.2342 | + | 65.5482i | 2.04614 | + | 2.30313i | ||||
\(811\) | 17.7718 | + | 3.53503i | 0.624053 | + | 0.124132i | 0.496981 | − | 0.867762i | \(-0.334442\pi\) |
0.127072 | + | 0.991893i | \(0.459442\pi\) | |||||||
\(812\) | − | 3.35217i | − | 0.117638i | ||||||
\(813\) | 1.50706 | − | 7.57649i | 0.0528548 | − | 0.265719i | ||||
\(814\) | 2.21515 | + | 5.34784i | 0.0776409 | + | 0.187442i | ||||
\(815\) | −34.0922 | − | 8.90041i | −1.19420 | − | 0.311768i | ||||
\(816\) | −3.08686 | − | 13.7016i | −0.108062 | − | 0.479651i | ||||
\(817\) | 0.0732131 | + | 0.0732131i | 0.00256140 | + | 0.00256140i | ||||
\(818\) | −35.1686 | − | 14.5673i | −1.22964 | − | 0.509333i | ||||
\(819\) | 35.1935 | − | 23.5156i | 1.22976 | − | 0.821700i | ||||
\(820\) | 19.4763 | + | 5.08464i | 0.680141 | + | 0.177563i | ||||
\(821\) | −4.40020 | + | 22.1213i | −0.153568 | + | 0.772038i | 0.824842 | + | 0.565364i | \(0.191264\pi\) |
−0.978410 | + | 0.206675i | \(0.933736\pi\) | |||||||
\(822\) | 12.2412 | − | 2.43493i | 0.426962 | − | 0.0849281i | ||||
\(823\) | −37.0162 | − | 24.7335i | −1.29031 | − | 0.862154i | −0.294680 | − | 0.955596i | \(-0.595213\pi\) |
−0.995625 | + | 0.0934416i | \(0.970213\pi\) | |||||||
\(824\) | −4.15265 | + | 10.0254i | −0.144665 | + | 0.349251i | ||||
\(825\) | 16.9544 | + | 2.01060i | 0.590275 | + | 0.0700003i | ||||
\(826\) | −13.0265 | + | 2.59113i | −0.453249 | + | 0.0901568i | ||||
\(827\) | −3.82787 | − | 19.2440i | −0.133108 | − | 0.669180i | −0.988503 | − | 0.151203i | \(-0.951685\pi\) |
0.855395 | − | 0.517977i | \(-0.173315\pi\) | |||||||
\(828\) | −22.3523 | + | 14.9353i | −0.776796 | + | 0.519038i | ||||
\(829\) | 8.97190 | − | 8.97190i | 0.311607 | − | 0.311607i | −0.533925 | − | 0.845532i | \(-0.679284\pi\) |
0.845532 | + | 0.533925i | \(0.179284\pi\) | |||||||
\(830\) | −11.7564 | + | 24.2312i | −0.408070 | + | 0.841076i | ||||
\(831\) | 26.0825 | − | 10.8037i | 0.904793 | − | 0.374777i | ||||
\(832\) | −3.13255 | + | 3.13255i | −0.108602 | + | 0.108602i | ||||
\(833\) | −17.2319 | − | 16.3832i | −0.597051 | − | 0.567644i | ||||
\(834\) | 40.1175i | 1.38916i | ||||||||
\(835\) | 5.55275 | + | 40.1789i | 0.192161 | + | 1.39045i | ||||
\(836\) | 0.305561 | + | 0.457304i | 0.0105680 | + | 0.0158162i | ||||
\(837\) | −28.4137 | −0.982121 | ||||||||
\(838\) | −7.41531 | − | 11.0978i | −0.256158 | − | 0.383367i | ||||
\(839\) | 14.2297 | + | 9.50797i | 0.491263 | + | 0.328252i | 0.776406 | − | 0.630234i | \(-0.217041\pi\) |
−0.285142 | + | 0.958485i | \(0.592041\pi\) | |||||||
\(840\) | 8.44395 | + | 0.498933i | 0.291344 | + | 0.0172148i | ||||
\(841\) | 18.3742 | + | 7.61082i | 0.633591 | + | 0.262442i | ||||
\(842\) | −18.8060 | + | 7.78970i | −0.648098 | + | 0.268451i | ||||
\(843\) | −0.816840 | + | 1.22249i | −0.0281335 | + | 0.0421047i | ||||
\(844\) | 4.66645 | − | 6.98384i | 0.160626 | − | 0.240394i | ||||
\(845\) | −4.85248 | − | 13.9985i | −0.166930 | − | 0.481564i | ||||
\(846\) | 37.1139 | + | 37.1139i | 1.27600 | + | 1.27600i | ||||
\(847\) | 10.8864 | + | 2.16544i | 0.374061 | + | 0.0744054i | ||||
\(848\) | −4.77327 | + | 11.5237i | −0.163915 | + | 0.395725i | ||||
\(849\) | 90.7465 | 3.11441 | ||||||||
\(850\) | 13.1639 | + | 15.8654i | 0.451518 | + | 0.544180i | ||||
\(851\) | 18.0431 | 0.618508 | ||||||||
\(852\) | −5.92784 | + | 14.3111i | −0.203084 | + | 0.490289i | ||||
\(853\) | 42.3926 | + | 8.43242i | 1.45150 | + | 0.288721i | 0.856974 | − | 0.515359i | \(-0.172341\pi\) |
0.594522 | + | 0.804079i | \(0.297341\pi\) | |||||||
\(854\) | −1.50842 | − | 1.50842i | −0.0516171 | − | 0.0516171i | ||||
\(855\) | −3.45717 | − | 9.97331i | −0.118233 | − | 0.341080i | ||||
\(856\) | −6.51964 | + | 9.75732i | −0.222837 | + | 0.333498i | ||||
\(857\) | −12.8748 | + | 19.2685i | −0.439796 | + | 0.658201i | −0.983465 | − | 0.181099i | \(-0.942035\pi\) |
0.543669 | + | 0.839300i | \(0.317035\pi\) | |||||||
\(858\) | −13.9757 | + | 5.78891i | −0.477122 | + | 0.197630i | ||||
\(859\) | 38.0926 | + | 15.7785i | 1.29970 | + | 0.538354i | 0.921862 | − | 0.387517i | \(-0.126667\pi\) |
0.377839 | + | 0.925871i | \(0.376667\pi\) | |||||||
\(860\) | −0.421230 | − | 0.0248895i | −0.0143638 | − | 0.000848725i | ||||
\(861\) | 28.3141 | + | 18.9189i | 0.964941 | + | 0.644753i | ||||
\(862\) | −11.5624 | − | 17.3044i | −0.393818 | − | 0.589390i | ||||
\(863\) | −13.6290 | −0.463935 | −0.231968 | − | 0.972724i | \(-0.574516\pi\) | ||||
−0.231968 | + | 0.972724i | \(0.574516\pi\) | |||||||
\(864\) | −10.6049 | − | 15.8713i | −0.360786 | − | 0.539954i | ||||
\(865\) | −6.31889 | − | 45.7227i | −0.214849 | − | 1.55462i | ||||
\(866\) | − | 6.49518i | − | 0.220715i | ||||||
\(867\) | 46.4646 | − | 34.5614i | 1.57802 | − | 1.17377i | ||||
\(868\) | −1.16887 | + | 1.16887i | −0.0396740 | + | 0.0396740i | ||||
\(869\) | 4.85080 | − | 2.00927i | 0.164552 | − | 0.0681597i | ||||
\(870\) | 10.0365 | − | 20.6864i | 0.340271 | − | 0.701335i | ||||
\(871\) | −2.52029 | + | 2.52029i | −0.0853968 | + | 0.0853968i | ||||
\(872\) | 7.98657 | − | 5.33646i | 0.270459 | − | 0.180715i | ||||
\(873\) | 11.3596 | + | 57.1086i | 0.384464 | + | 1.93283i | ||||
\(874\) | 1.68143 | − | 0.334458i | 0.0568753 | − | 0.0113132i | ||||
\(875\) | −11.3769 | + | 4.97173i | −0.384610 | + | 0.168075i | ||||
\(876\) | −2.37828 | + | 5.74167i | −0.0803546 | + | 0.193993i | ||||
\(877\) | −38.6429 | − | 25.8203i | −1.30488 | − | 0.871891i | −0.308041 | − | 0.951373i | \(-0.599673\pi\) |
−0.996836 | + | 0.0794822i | \(0.974673\pi\) | |||||||
\(878\) | −17.7431 | + | 3.52932i | −0.598801 | + | 0.119109i | ||||
\(879\) | −4.88208 | + | 24.5439i | −0.164668 | + | 0.827844i | ||||
\(880\) | −2.16877 | − | 0.566198i | −0.0731093 | − | 0.0190865i | ||||
\(881\) | 4.84417 | − | 3.23677i | 0.163204 | − | 0.109050i | −0.471286 | − | 0.881980i | \(-0.656210\pi\) |
0.634490 | + | 0.772931i | \(0.281210\pi\) | |||||||
\(882\) | −45.8386 | − | 18.9870i | −1.54346 | − | 0.639324i | ||||
\(883\) | −0.724623 | − | 0.724623i | −0.0243855 | − | 0.0243855i | 0.694809 | − | 0.719194i | \(-0.255489\pi\) |
−0.719194 | + | 0.694809i | \(0.755489\pi\) | |||||||
\(884\) | −17.0464 | − | 6.56184i | −0.573333 | − | 0.220699i | ||||
\(885\) | −88.1449 | − | 23.0118i | −2.96296 | − | 0.773534i | ||||
\(886\) | −14.1811 | − | 34.2361i | −0.476422 | − | 1.15018i | ||||
\(887\) | 8.72243 | − | 43.8506i | 0.292871 | − | 1.47236i | −0.501622 | − | 0.865087i | \(-0.667263\pi\) |
0.794493 | − | 0.607273i | \(-0.207737\pi\) | |||||||
\(888\) | 19.6704i | 0.660096i | ||||||||
\(889\) | −10.9995 | − | 2.18794i | −0.368913 | − | 0.0733813i | ||||
\(890\) | 10.4026 | + | 11.7091i | 0.348695 | + | 0.392490i | ||||
\(891\) | −7.66828 | − | 38.5511i | −0.256897 | − | 1.29151i | ||||
\(892\) | 7.56256 | + | 18.2576i | 0.253213 | + | 0.611311i | ||||
\(893\) | −1.28092 | − | 3.09241i | −0.0428643 | − | 0.103484i | ||||
\(894\) | −11.2714 | − | 56.6650i | −0.376971 | − | 1.89516i | ||||
\(895\) | −0.900366 | + | 15.2378i | −0.0300959 | + | 0.509344i | ||||
\(896\) | −1.08917 | − | 0.216649i | −0.0363865 | − | 0.00723772i | ||||
\(897\) | 47.1524i | 1.57437i | ||||||||
\(898\) | 6.26553 | − | 31.4989i | 0.209083 | − | 1.05113i | ||||
\(899\) | 1.71951 | + | 4.15128i | 0.0573490 | + | 0.138453i | ||||
\(900\) | 37.5284 | + | 21.0282i | 1.25095 | + | 0.700939i | ||||
\(901\) | −51.4117 | + | 1.29807i | −1.71277 | + | 0.0432449i | ||||
\(902\) | −6.38072 | − | 6.38072i | −0.212455 | − | 0.212455i | ||||
\(903\) | −0.659514 | − | 0.273180i | −0.0219473 | − | 0.00909085i | ||||
\(904\) | 4.70769 | − | 3.14558i | 0.156575 | − | 0.104620i | ||||
\(905\) | 2.68933 | − | 10.3013i | 0.0893965 | − | 0.342426i | ||||
\(906\) | −7.45581 | + | 37.4829i | −0.247703 | + | 1.24528i | ||||
\(907\) | 33.2496 | − | 6.61375i | 1.10403 | − | 0.219606i | 0.390761 | − | 0.920492i | \(-0.372212\pi\) |
0.713273 | + | 0.700886i | \(0.247212\pi\) | |||||||
\(908\) | 4.56874 | + | 3.05273i | 0.151619 | + | 0.101309i | ||||
\(909\) | −1.12818 | + | 2.72367i | −0.0374194 | + | 0.0903383i | ||||
\(910\) | 6.64052 | − | 8.77030i | 0.220131 | − | 0.290733i | ||||
\(911\) | −20.1173 | + | 4.00159i | −0.666517 | + | 0.132578i | −0.516741 | − | 0.856142i | \(-0.672855\pi\) |
−0.149776 | + | 0.988720i | \(0.547855\pi\) | |||||||
\(912\) | 0.364624 | + | 1.83309i | 0.0120739 | + | 0.0606996i | ||||
\(913\) | 10.0389 | − | 6.70776i | 0.332238 | − | 0.221995i | ||||
\(914\) | 17.5785 | − | 17.5785i | 0.581446 | − | 0.581446i | ||||
\(915\) | −4.79226 | − | 13.8248i | −0.158427 | − | 0.457034i | ||||
\(916\) | 3.21137 | − | 1.33019i | 0.106107 | − | 0.0439508i | ||||
\(917\) | 2.46965 | − | 2.46965i | 0.0815550 | − | 0.0815550i | ||||
\(918\) | 42.0595 | − | 66.5220i | 1.38817 | − | 2.19555i | ||||
\(919\) | − | 12.2300i | − | 0.403430i | −0.979444 | − | 0.201715i | \(-0.935348\pi\) | ||
0.979444 | − | 0.201715i | \(-0.0646515\pi\) | |||||||
\(920\) | −4.21756 | + | 5.57024i | −0.139049 | + | 0.183645i | ||||
\(921\) | −27.2192 | − | 40.7365i | −0.896905 | − | 1.34231i | ||||
\(922\) | −12.8689 | −0.423814 | ||||||||
\(923\) | 11.1921 | + | 16.7502i | 0.368393 | + | 0.551339i | ||||
\(924\) | −3.15290 | − | 2.10670i | −0.103723 | − | 0.0693054i | ||||
\(925\) | −13.1020 | − | 25.7287i | −0.430792 | − | 0.845955i | ||||
\(926\) | −24.8855 | − | 10.3079i | −0.817787 | − | 0.338738i | ||||
\(927\) | −86.2549 | + | 35.7279i | −2.83298 | + | 1.17346i | ||||
\(928\) | −1.67705 | + | 2.50988i | −0.0550517 | + | 0.0823907i | ||||
\(929\) | −13.7243 | + | 20.5398i | −0.450279 | + | 0.673890i | −0.985277 | − | 0.170963i | \(-0.945312\pi\) |
0.534999 | + | 0.844853i | \(0.320312\pi\) | |||||||
\(930\) | −10.7128 | + | 3.71350i | −0.351286 | + | 0.121770i | ||||
\(931\) | 2.23733 | + | 2.23733i | 0.0733256 | + | 0.0733256i | ||||
\(932\) | −11.8747 | − | 2.36203i | −0.388969 | − | 0.0773708i | ||||
\(933\) | 34.3727 | − | 82.9830i | 1.12531 | − | 2.71674i | ||||
\(934\) | 11.9613 | 0.391386 | ||||||||
\(935\) | −1.49586 | − | 9.11993i | −0.0489199 | − | 0.298253i | ||||
\(936\) | −38.1150 | −1.24583 | ||||||||
\(937\) | −16.8852 | + | 40.7645i | −0.551615 | + | 1.33172i | 0.364650 | + | 0.931145i | \(0.381189\pi\) |
−0.916265 | + | 0.400573i | \(0.868811\pi\) | |||||||
\(938\) | −0.876287 | − | 0.174304i | −0.0286118 | − | 0.00569124i | ||||
\(939\) | −55.4863 | − | 55.4863i | −1.81073 | − | 1.81073i | ||||
\(940\) | 12.2730 | + | 5.95457i | 0.400302 | + | 0.194217i | ||||
\(941\) | 21.3969 | − | 32.0227i | 0.697518 | − | 1.04391i | −0.298469 | − | 0.954419i | \(-0.596476\pi\) |
0.995988 | − | 0.0894907i | \(-0.0285239\pi\) | |||||||
\(942\) | 14.0503 | − | 21.0277i | 0.457783 | − | 0.685120i | ||||
\(943\) | −25.9865 | + | 10.7639i | −0.846236 | + | 0.350522i | ||||
\(944\) | 11.0496 | + | 4.57691i | 0.359635 | + | 0.148966i | ||||
\(945\) | 31.4811 | + | 35.4350i | 1.02408 | + | 1.15270i | ||||
\(946\) | 0.157284 | + | 0.105094i | 0.00511374 | + | 0.00341689i | ||||
\(947\) | 3.46639 | + | 5.18781i | 0.112642 | + | 0.168581i | 0.883507 | − | 0.468417i | \(-0.155176\pi\) |
−0.770865 | + | 0.636999i | \(0.780176\pi\) | |||||||
\(948\) | 17.8422 | 0.579488 | ||||||||
\(949\) | 4.49033 | + | 6.72026i | 0.145762 | + | 0.218149i | ||||
\(950\) | −1.69790 | − | 2.15479i | −0.0550873 | − | 0.0699107i | ||||
\(951\) | 66.5554i | 2.15821i | ||||||||
\(952\) | −1.00633 | − | 4.46677i | −0.0326153 | − | 0.144769i | ||||
\(953\) | 36.0165 | − | 36.0165i | 1.16669 | − | 1.16669i | 0.183710 | − | 0.982981i | \(-0.441189\pi\) |
0.982981 | − | 0.183710i | \(-0.0588106\pi\) | |||||||
\(954\) | −99.1456 | + | 41.0675i | −3.20996 | + | 1.32961i | ||||
\(955\) | 20.4249 | + | 9.90965i | 0.660933 | + | 0.320669i | ||||
\(956\) | −10.0546 | + | 10.0546i | −0.325190 | + | 0.325190i | ||||
\(957\) | −8.57030 | + | 5.72649i | −0.277038 | + | 0.185111i | ||||
\(958\) | 5.59595 | + | 28.1328i | 0.180797 | + | 0.908928i | ||||
\(959\) | 3.99070 | − | 0.793799i | 0.128866 | − | 0.0256331i | ||||
\(960\) | −6.07264 | − | 4.59796i | −0.195994 | − | 0.148399i | ||||
\(961\) | −11.0153 | + | 26.5932i | −0.355331 | + | 0.857845i | ||||
\(962\) | 21.2704 | + | 14.2125i | 0.685787 | + | 0.458228i | ||||
\(963\) | −99.0240 | + | 19.6971i | −3.19100 | + | 0.634730i | ||||
\(964\) | −1.00841 | + | 5.06964i | −0.0324788 | + | 0.163282i | ||||
\(965\) | −14.8428 | + | 8.69723i | −0.477806 | + | 0.279974i | ||||
\(966\) | −9.82782 | + | 6.56674i | −0.316205 | + | 0.211281i | ||||
\(967\) | 45.3258 | + | 18.7746i | 1.45758 | + | 0.603749i | 0.963988 | − | 0.265945i | \(-0.0856840\pi\) |
0.493591 | + | 0.869694i | \(0.335684\pi\) | |||||||
\(968\) | −7.06765 | − | 7.06765i | −0.227163 | − | 0.227163i | ||||
\(969\) | −6.29728 | + | 4.44163i | −0.202298 | + | 0.142686i | ||||
\(970\) | 7.65071 | + | 13.0568i | 0.245650 | + | 0.419228i | ||||
\(971\) | −14.8579 | − | 35.8702i | −0.476813 | − | 1.15113i | −0.961095 | − | 0.276217i | \(-0.910919\pi\) |
0.484282 | − | 0.874912i | \(-0.339081\pi\) | |||||||
\(972\) | 14.8866 | − | 74.8401i | 0.477489 | − | 2.40050i | ||||
\(973\) | 13.0785i | 0.419277i | ||||||||
\(974\) | 33.0161 | + | 6.56730i | 1.05790 | + | 0.210430i | ||||
\(975\) | 67.2376 | − | 34.2399i | 2.15333 | − | 1.09656i | ||||
\(976\) | 0.374760 | + | 1.88405i | 0.0119958 | + | 0.0603068i | ||||
\(977\) | 19.1568 | + | 46.2485i | 0.612879 | + | 1.47962i | 0.859824 | + | 0.510591i | \(0.170573\pi\) |
−0.246944 | + | 0.969030i | \(0.579427\pi\) | |||||||
\(978\) | 20.5412 | + | 49.5907i | 0.656834 | + | 1.58574i | ||||
\(979\) | −1.36981 | − | 6.88651i | −0.0437794 | − | 0.220094i | ||||
\(980\) | −12.8725 | − | 0.760603i | −0.411196 | − | 0.0242966i | ||||
\(981\) | 81.0532 | + | 16.1225i | 2.58783 | + | 0.514751i | ||||
\(982\) | 12.5339i | 0.399973i | ||||||||
\(983\) | 4.26520 | − | 21.4426i | 0.136039 | − | 0.683913i | −0.851222 | − | 0.524805i | \(-0.824138\pi\) |
0.987261 | − | 0.159108i | \(-0.0508618\pi\) | |||||||
\(984\) | −11.7348 | − | 28.3303i | −0.374091 | − | 0.903136i | ||||
\(985\) | 2.69352 | − | 10.3173i | 0.0858226 | − | 0.328736i | ||||
\(986\) | −12.2643 | − | 2.11922i | −0.390574 | − | 0.0674896i | ||||
\(987\) | 16.3182 | + | 16.3182i | 0.519413 | + | 0.519413i | ||||
\(988\) | 2.24565 | + | 0.930177i | 0.0714435 | + | 0.0295929i | ||||
\(989\) | 0.490265 | − | 0.327585i | 0.0155895 | − | 0.0104166i | ||||
\(990\) | −9.74957 | − | 16.6387i | −0.309862 | − | 0.528813i | ||||
\(991\) | 6.75639 | − | 33.9667i | 0.214624 | − | 1.07899i | −0.711765 | − | 0.702418i | \(-0.752104\pi\) |
0.926389 | − | 0.376569i | \(-0.122896\pi\) | |||||||
\(992\) | 1.45994 | − | 0.290400i | 0.0463531 | − | 0.00922020i | ||||
\(993\) | 43.9087 | + | 29.3389i | 1.39340 | + | 0.931041i | ||||
\(994\) | −1.93250 | + | 4.66547i | −0.0612952 | + | 0.147980i | ||||
\(995\) | −24.5377 | + | 3.39112i | −0.777897 | + | 0.107506i | ||||
\(996\) | 40.2405 | − | 8.00433i | 1.27507 | − | 0.253627i | ||||
\(997\) | −7.18595 | − | 36.1262i | −0.227581 | − | 1.14413i | −0.910460 | − | 0.413597i | \(-0.864272\pi\) |
0.682879 | − | 0.730532i | \(-0.260728\pi\) | |||||||
\(998\) | 5.43966 | − | 3.63466i | 0.172189 | − | 0.115053i | ||||
\(999\) | −77.9415 | + | 77.9415i | −2.46596 | + | 2.46596i |
(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 | 170.2.r.b.107.5 | yes | 40 | |
5.2 | odd | 4 | 850.2.s.d.243.5 | 40 | |||
5.3 | odd | 4 | 170.2.o.b.73.1 | yes | 40 | ||
5.4 | even | 2 | 850.2.v.d.107.1 | 40 | |||
17.7 | odd | 16 | 170.2.o.b.7.1 | ✓ | 40 | ||
85.7 | even | 16 | 850.2.v.d.143.1 | 40 | |||
85.24 | odd | 16 | 850.2.s.d.7.5 | 40 | |||
85.58 | even | 16 | inner | 170.2.r.b.143.5 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
170.2.o.b.7.1 | ✓ | 40 | 17.7 | odd | 16 | ||
170.2.o.b.73.1 | yes | 40 | 5.3 | odd | 4 | ||
170.2.r.b.107.5 | yes | 40 | 1.1 | even | 1 | trivial | |
170.2.r.b.143.5 | yes | 40 | 85.58 | even | 16 | inner | |
850.2.s.d.7.5 | 40 | 85.24 | odd | 16 | |||
850.2.s.d.243.5 | 40 | 5.2 | odd | 4 | |||
850.2.v.d.107.1 | 40 | 5.4 | even | 2 | |||
850.2.v.d.143.1 | 40 | 85.7 | even | 16 |