Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [920,2,Mod(11,920)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(920, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("920.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 920 = 2^{3} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 920.bb (of order \(22\), degree \(10\), 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: | \(7.34623698596\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 11.16 | ||
Character | \(\chi\) | \(=\) | 920.11 |
Dual form | 920.2.bb.a.251.16 |
$q$-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 \(\left(\mathbb{Z}/920\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(281\) | \(461\) | \(737\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{22}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.706408 | + | 1.22515i | −0.499506 | + | 0.866310i | ||||
\(3\) | −0.160633 | + | 1.11722i | −0.0927413 | + | 0.645030i | 0.889434 | + | 0.457063i | \(0.151099\pi\) |
−0.982175 | + | 0.187967i | \(0.939810\pi\) | |||||||
\(4\) | −1.00198 | − | 1.73091i | −0.500988 | − | 0.865454i | ||||
\(5\) | −0.959493 | + | 0.281733i | −0.429098 | + | 0.125995i | ||||
\(6\) | −1.25529 | − | 0.986015i | −0.512471 | − | 0.402539i | ||||
\(7\) | −0.521871 | − | 0.602271i | −0.197249 | − | 0.227637i | 0.648505 | − | 0.761210i | \(-0.275394\pi\) |
−0.845754 | + | 0.533573i | \(0.820849\pi\) | |||||||
\(8\) | 2.82842 | − | 0.00484018i | 0.999999 | − | 0.00171126i | ||||
\(9\) | 1.65609 | + | 0.486272i | 0.552030 | + | 0.162091i | ||||
\(10\) | 0.332629 | − | 1.37454i | 0.105187 | − | 0.434667i | ||||
\(11\) | −1.37486 | + | 2.13933i | −0.414537 | + | 0.645032i | −0.984244 | − | 0.176816i | \(-0.943420\pi\) |
0.569707 | + | 0.821848i | \(0.307057\pi\) | |||||||
\(12\) | 2.09476 | − | 0.841391i | 0.604706 | − | 0.242889i | ||||
\(13\) | −1.01747 | − | 0.881643i | −0.282195 | − | 0.244524i | 0.502249 | − | 0.864723i | \(-0.332506\pi\) |
−0.784444 | + | 0.620199i | \(0.787052\pi\) | |||||||
\(14\) | 1.10653 | − | 0.213920i | 0.295731 | − | 0.0571725i | ||||
\(15\) | −0.160633 | − | 1.11722i | −0.0414752 | − | 0.288466i | ||||
\(16\) | −1.99209 | + | 3.46866i | −0.498023 | + | 0.867164i | ||||
\(17\) | −3.68655 | + | 1.68359i | −0.894119 | + | 0.408331i | −0.808842 | − | 0.588027i | \(-0.799905\pi\) |
−0.0852778 | + | 0.996357i | \(0.527178\pi\) | |||||||
\(18\) | −1.76563 | + | 1.68545i | −0.416163 | + | 0.397264i | ||||
\(19\) | −2.96909 | − | 1.35594i | −0.681155 | − | 0.311073i | 0.0446211 | − | 0.999004i | \(-0.485792\pi\) |
−0.725776 | + | 0.687931i | \(0.758519\pi\) | |||||||
\(20\) | 1.44904 | + | 1.37851i | 0.324016 | + | 0.308243i | ||||
\(21\) | 0.756702 | − | 0.486303i | 0.165126 | − | 0.106120i | ||||
\(22\) | −1.64978 | − | 3.19565i | −0.351734 | − | 0.681315i | ||||
\(23\) | −2.55684 | − | 4.05741i | −0.533138 | − | 0.846028i | ||||
\(24\) | −0.448930 | + | 3.16076i | −0.0916374 | + | 0.645188i | ||||
\(25\) | 0.841254 | − | 0.540641i | 0.168251 | − | 0.108128i | ||||
\(26\) | 1.79889 | − | 0.623752i | 0.352792 | − | 0.122328i | ||||
\(27\) | −2.21595 | + | 4.85226i | −0.426460 | + | 0.933817i | ||||
\(28\) | −0.519575 | + | 1.50677i | −0.0981904 | + | 0.284753i | ||||
\(29\) | 0.558032 | − | 0.254845i | 0.103624 | − | 0.0473234i | −0.362929 | − | 0.931817i | \(-0.618223\pi\) |
0.466553 | + | 0.884493i | \(0.345496\pi\) | |||||||
\(30\) | 1.48224 | + | 0.592418i | 0.270618 | + | 0.108160i | ||||
\(31\) | −2.22309 | + | 0.319632i | −0.399279 | + | 0.0574077i | −0.339030 | − | 0.940776i | \(-0.610099\pi\) |
−0.0602494 | + | 0.998183i | \(0.519190\pi\) | |||||||
\(32\) | −2.84239 | − | 4.89089i | −0.502468 | − | 0.864596i | ||||
\(33\) | −2.16926 | − | 1.87968i | −0.377620 | − | 0.327210i | ||||
\(34\) | 0.541560 | − | 5.70587i | 0.0928768 | − | 0.978549i | ||||
\(35\) | 0.670411 | + | 0.430847i | 0.113320 | + | 0.0728264i | ||||
\(36\) | −0.817669 | − | 3.35377i | −0.136278 | − | 0.558962i | ||||
\(37\) | −7.42142 | − | 2.17913i | −1.22007 | − | 0.358246i | −0.392579 | − | 0.919718i | \(-0.628417\pi\) |
−0.827496 | + | 0.561472i | \(0.810235\pi\) | |||||||
\(38\) | 3.75861 | − | 2.67973i | 0.609727 | − | 0.434709i | ||||
\(39\) | 1.14843 | − | 0.995122i | 0.183896 | − | 0.159347i | ||||
\(40\) | −2.71249 | + | 0.801503i | −0.428882 | + | 0.126729i | ||||
\(41\) | 6.62014 | − | 1.94385i | 1.03389 | − | 0.303578i | 0.279600 | − | 0.960117i | \(-0.409798\pi\) |
0.754293 | + | 0.656538i | \(0.227980\pi\) | |||||||
\(42\) | 0.0612526 | + | 1.27060i | 0.00945148 | + | 0.196058i | ||||
\(43\) | −4.88837 | − | 0.702842i | −0.745470 | − | 0.107182i | −0.240896 | − | 0.970551i | \(-0.577441\pi\) |
−0.504574 | + | 0.863369i | \(0.668350\pi\) | |||||||
\(44\) | 5.08056 | + | 0.236208i | 0.765923 | + | 0.0356097i | ||||
\(45\) | −1.72601 | −0.257298 | ||||||||
\(46\) | 6.77710 | − | 0.266319i | 0.999229 | − | 0.0392667i | ||||
\(47\) | − | 11.0489i | − | 1.61164i | −0.592157 | − | 0.805822i | \(-0.701724\pi\) | ||
0.592157 | − | 0.805822i | \(-0.298276\pi\) | |||||||
\(48\) | −3.55527 | − | 2.78279i | −0.513159 | − | 0.401661i | ||||
\(49\) | 0.905823 | − | 6.30013i | 0.129403 | − | 0.900019i | ||||
\(50\) | 0.0680968 | + | 1.41257i | 0.00963034 | + | 0.199768i | ||||
\(51\) | −1.28877 | − | 4.38914i | −0.180464 | − | 0.614603i | ||||
\(52\) | −0.506564 | + | 2.64453i | −0.0702477 | + | 0.366731i | ||||
\(53\) | 4.93128 | + | 5.69100i | 0.677364 | + | 0.781719i | 0.985510 | − | 0.169620i | \(-0.0542540\pi\) |
−0.308146 | + | 0.951339i | \(0.599709\pi\) | |||||||
\(54\) | −4.37937 | − | 6.14254i | −0.595956 | − | 0.835894i | ||||
\(55\) | 0.716453 | − | 2.44001i | 0.0966065 | − | 0.329011i | ||||
\(56\) | −1.47899 | − | 1.70095i | −0.197638 | − | 0.227299i | ||||
\(57\) | 1.99182 | − | 3.09933i | 0.263823 | − | 0.410516i | ||||
\(58\) | −0.0819758 | + | 0.863696i | −0.0107639 | + | 0.113409i | ||||
\(59\) | −1.44271 | + | 1.66497i | −0.187825 | + | 0.216761i | −0.841850 | − | 0.539711i | \(-0.818533\pi\) |
0.654026 | + | 0.756472i | \(0.273079\pi\) | |||||||
\(60\) | −1.77286 | + | 1.39747i | −0.228876 | + | 0.180413i | ||||
\(61\) | −1.09013 | − | 7.58201i | −0.139577 | − | 0.970777i | −0.932426 | − | 0.361360i | \(-0.882313\pi\) |
0.792850 | − | 0.609417i | \(-0.208597\pi\) | |||||||
\(62\) | 1.17881 | − | 2.94941i | 0.149709 | − | 0.374575i | ||||
\(63\) | −0.571398 | − | 1.25119i | −0.0719894 | − | 0.157635i | ||||
\(64\) | 7.99995 | − | 0.0273802i | 0.999994 | − | 0.00342252i | ||||
\(65\) | 1.22464 | + | 0.559276i | 0.151898 | + | 0.0693696i | ||||
\(66\) | 3.83527 | − | 1.32985i | 0.472089 | − | 0.163693i | ||||
\(67\) | −3.78213 | − | 5.88511i | −0.462061 | − | 0.718980i | 0.529545 | − | 0.848282i | \(-0.322363\pi\) |
−0.991605 | + | 0.129302i | \(0.958726\pi\) | |||||||
\(68\) | 6.60797 | + | 4.69416i | 0.801334 | + | 0.569251i | ||||
\(69\) | 4.94375 | − | 2.20481i | 0.595158 | − | 0.265428i | ||||
\(70\) | −1.00144 | + | 0.516999i | −0.119694 | + | 0.0617932i | ||||
\(71\) | −0.249532 | − | 0.388279i | −0.0296140 | − | 0.0460802i | 0.826131 | − | 0.563478i | \(-0.190537\pi\) |
−0.855745 | + | 0.517398i | \(0.826901\pi\) | |||||||
\(72\) | 4.68648 | + | 1.36737i | 0.552307 | + | 0.161146i | ||||
\(73\) | −5.91748 | + | 12.9575i | −0.692589 | + | 1.51656i | 0.156143 | + | 0.987735i | \(0.450094\pi\) |
−0.848732 | + | 0.528824i | \(0.822633\pi\) | |||||||
\(74\) | 7.91230 | − | 7.55299i | 0.919787 | − | 0.878017i | ||||
\(75\) | 0.468884 | + | 1.02671i | 0.0541421 | + | 0.118555i | ||||
\(76\) | 0.627949 | + | 6.49783i | 0.0720307 | + | 0.745353i | ||||
\(77\) | 2.00596 | − | 0.288413i | 0.228600 | − | 0.0328677i | ||||
\(78\) | 0.407910 | + | 2.10996i | 0.0461867 | + | 0.238906i | ||||
\(79\) | −0.237240 | + | 0.273790i | −0.0266916 | + | 0.0308037i | −0.768938 | − | 0.639323i | \(-0.779215\pi\) |
0.742247 | + | 0.670127i | \(0.233760\pi\) | |||||||
\(80\) | 0.934164 | − | 3.88939i | 0.104443 | − | 0.434847i | ||||
\(81\) | −0.709079 | − | 0.455697i | −0.0787866 | − | 0.0506331i | ||||
\(82\) | −2.29502 | + | 9.48381i | −0.253442 | + | 1.04731i | ||||
\(83\) | −3.91726 | + | 13.3410i | −0.429975 | + | 1.46436i | 0.405125 | + | 0.914261i | \(0.367228\pi\) |
−0.835100 | + | 0.550098i | \(0.814590\pi\) | |||||||
\(84\) | −1.59994 | − | 0.822519i | −0.174568 | − | 0.0897441i | ||||
\(85\) | 3.06290 | − | 2.65401i | 0.332218 | − | 0.287868i | ||||
\(86\) | 4.31427 | − | 5.49249i | 0.465220 | − | 0.592270i | ||||
\(87\) | 0.195080 | + | 0.664383i | 0.0209148 | + | 0.0712293i | ||||
\(88\) | −3.87834 | + | 6.05758i | −0.413432 | + | 0.645740i | ||||
\(89\) | 1.13611 | + | 0.163348i | 0.120427 | + | 0.0173148i | 0.202265 | − | 0.979331i | \(-0.435170\pi\) |
−0.0818377 | + | 0.996646i | \(0.526079\pi\) | |||||||
\(90\) | 1.21926 | − | 2.11461i | 0.128522 | − | 0.222900i | ||||
\(91\) | 1.07290i | 0.112470i | ||||||||
\(92\) | −4.46112 | + | 8.49108i | −0.465104 | + | 0.885256i | ||||
\(93\) | − | 2.53504i | − | 0.262871i | ||||||
\(94\) | 13.5365 | + | 7.80502i | 1.39618 | + | 0.805026i | ||||
\(95\) | 3.23083 | + | 0.464523i | 0.331476 | + | 0.0476591i | ||||
\(96\) | 5.92081 | − | 2.38995i | 0.604290 | − | 0.243923i | ||||
\(97\) | −3.93730 | − | 13.4092i | −0.399772 | − | 1.36150i | −0.876057 | − | 0.482208i | \(-0.839835\pi\) |
0.476285 | − | 0.879291i | \(-0.341983\pi\) | |||||||
\(98\) | 7.07872 | + | 5.56023i | 0.715058 | + | 0.561668i | ||||
\(99\) | −3.31719 | + | 2.87436i | −0.333390 | + | 0.288884i | ||||
\(100\) | −1.77872 | − | 0.914424i | −0.177872 | − | 0.0914424i | ||||
\(101\) | 2.45454 | − | 8.35941i | 0.244236 | − | 0.831792i | −0.742554 | − | 0.669787i | \(-0.766386\pi\) |
0.986790 | − | 0.162006i | \(-0.0517963\pi\) | |||||||
\(102\) | 6.28775 | + | 1.52159i | 0.622580 | + | 0.150660i | ||||
\(103\) | −9.63822 | − | 6.19411i | −0.949682 | − | 0.610324i | −0.0285578 | − | 0.999592i | \(-0.509091\pi\) |
−0.921124 | + | 0.389269i | \(0.872728\pi\) | |||||||
\(104\) | −2.88210 | − | 2.48873i | −0.282613 | − | 0.244040i | ||||
\(105\) | −0.589043 | + | 0.679792i | −0.0574847 | + | 0.0663409i | ||||
\(106\) | −10.4558 | + | 2.02138i | −1.01556 | + | 0.196334i | ||||
\(107\) | −9.83435 | + | 1.41397i | −0.950722 | + | 0.136693i | −0.600190 | − | 0.799857i | \(-0.704908\pi\) |
−0.350532 | + | 0.936551i | \(0.613999\pi\) | |||||||
\(108\) | 10.6191 | − | 1.02623i | 1.02183 | − | 0.0987492i | ||||
\(109\) | −0.962027 | − | 2.10655i | −0.0921455 | − | 0.201771i | 0.857947 | − | 0.513737i | \(-0.171739\pi\) |
−0.950093 | + | 0.311967i | \(0.899012\pi\) | |||||||
\(110\) | 2.48327 | + | 2.60141i | 0.236771 | + | 0.248034i | ||||
\(111\) | 3.62670 | − | 7.94136i | 0.344231 | − | 0.753760i | ||||
\(112\) | 3.12869 | − | 0.610412i | 0.295633 | − | 0.0576785i | ||||
\(113\) | 6.86716 | + | 10.6855i | 0.646009 | + | 1.00521i | 0.997613 | + | 0.0690600i | \(0.0220000\pi\) |
−0.351604 | + | 0.936149i | \(0.614364\pi\) | |||||||
\(114\) | 2.39010 | + | 4.62966i | 0.223853 | + | 0.433608i | ||||
\(115\) | 3.59637 | + | 3.17271i | 0.335364 | + | 0.295857i | ||||
\(116\) | −1.00025 | − | 0.710554i | −0.0928706 | − | 0.0659733i | ||||
\(117\) | −1.25630 | − | 1.95485i | −0.116145 | − | 0.180726i | ||||
\(118\) | −1.02070 | − | 2.94368i | −0.0939629 | − | 0.270988i | ||||
\(119\) | 2.93788 | + | 1.34169i | 0.269315 | + | 0.122992i | ||||
\(120\) | −0.459745 | − | 3.15921i | −0.0419688 | − | 0.288395i | ||||
\(121\) | 1.88309 | + | 4.12339i | 0.171190 | + | 0.374853i | ||||
\(122\) | 10.0592 | + | 4.02042i | 0.910714 | + | 0.363992i | ||||
\(123\) | 1.10831 | + | 7.70843i | 0.0999325 | + | 0.695046i | ||||
\(124\) | 2.78074 | + | 3.52771i | 0.249718 | + | 0.316797i | ||||
\(125\) | −0.654861 | + | 0.755750i | −0.0585725 | + | 0.0675963i | ||||
\(126\) | 1.93653 | + | 0.183802i | 0.172520 | + | 0.0163743i | ||||
\(127\) | 2.38013 | − | 3.70356i | 0.211203 | − | 0.328638i | −0.719448 | − | 0.694546i | \(-0.755605\pi\) |
0.930651 | + | 0.365908i | \(0.119242\pi\) | |||||||
\(128\) | −5.61769 | + | 9.82047i | −0.496538 | + | 0.868015i | ||||
\(129\) | 1.57046 | − | 5.34851i | 0.138272 | − | 0.470910i | ||||
\(130\) | −1.55029 | + | 1.10529i | −0.135970 | + | 0.0969405i | ||||
\(131\) | −3.08031 | − | 3.55486i | −0.269128 | − | 0.310590i | 0.605058 | − | 0.796181i | \(-0.293150\pi\) |
−0.874186 | + | 0.485591i | \(0.838604\pi\) | |||||||
\(132\) | −1.08000 | + | 5.63818i | −0.0940020 | + | 0.490741i | ||||
\(133\) | 0.732839 | + | 2.49582i | 0.0635452 | + | 0.216415i | ||||
\(134\) | 9.88185 | − | 0.476381i | 0.853662 | − | 0.0411530i | ||||
\(135\) | 0.759151 | − | 5.28001i | 0.0653373 | − | 0.454431i | ||||
\(136\) | −10.4190 | + | 4.77975i | −0.893419 | + | 0.409860i | ||||
\(137\) | − | 18.1281i | − | 1.54879i | −0.632704 | − | 0.774393i | \(-0.718055\pi\) | ||
0.632704 | − | 0.774393i | \(-0.281945\pi\) | |||||||
\(138\) | −0.791085 | + | 7.61432i | −0.0673416 | + | 0.648174i | ||||
\(139\) | 2.54331 | 0.215720 | 0.107860 | − | 0.994166i | \(-0.465600\pi\) | ||||
0.107860 | + | 0.994166i | \(0.465600\pi\) | |||||||
\(140\) | 0.0740216 | − | 1.59212i | 0.00625596 | − | 0.134559i | ||||
\(141\) | 12.3441 | + | 1.77481i | 1.03956 | + | 0.149466i | ||||
\(142\) | 0.651971 | − | 0.0314299i | 0.0547122 | − | 0.00263754i | ||||
\(143\) | 3.28501 | − | 0.964565i | 0.274706 | − | 0.0806609i | ||||
\(144\) | −4.98579 | + | 4.77571i | −0.415483 | + | 0.397976i | ||||
\(145\) | −0.463629 | + | 0.401737i | −0.0385023 | + | 0.0333625i | ||||
\(146\) | −11.6947 | − | 16.4031i | −0.967858 | − | 1.35753i | ||||
\(147\) | 6.89316 | + | 2.02401i | 0.568538 | + | 0.166938i | ||||
\(148\) | 3.66421 | + | 15.0292i | 0.301196 | + | 1.23540i | ||||
\(149\) | 2.41411 | + | 1.55145i | 0.197771 | + | 0.127100i | 0.635779 | − | 0.771872i | \(-0.280679\pi\) |
−0.438007 | + | 0.898972i | \(0.644316\pi\) | |||||||
\(150\) | −1.58910 | − | 0.150826i | −0.129749 | − | 0.0123149i | ||||
\(151\) | −8.09874 | − | 7.01760i | −0.659066 | − | 0.571084i | 0.259796 | − | 0.965664i | \(-0.416345\pi\) |
−0.918862 | + | 0.394580i | \(0.870890\pi\) | |||||||
\(152\) | −8.40440 | − | 3.82079i | −0.681686 | − | 0.309907i | ||||
\(153\) | −6.92394 | + | 0.995513i | −0.559768 | + | 0.0804824i | ||||
\(154\) | −1.06368 | + | 2.66133i | −0.0857134 | + | 0.214456i | ||||
\(155\) | 2.04299 | − | 0.933002i | 0.164097 | − | 0.0749405i | ||||
\(156\) | −2.87317 | − | 0.990744i | −0.230037 | − | 0.0793230i | ||||
\(157\) | −8.82159 | + | 19.3166i | −0.704039 | + | 1.54163i | 0.130965 | + | 0.991387i | \(0.458192\pi\) |
−0.835004 | + | 0.550244i | \(0.814535\pi\) | |||||||
\(158\) | −0.167844 | − | 0.484061i | −0.0133530 | − | 0.0385098i | ||||
\(159\) | −7.15025 | + | 4.59519i | −0.567052 | + | 0.364422i | ||||
\(160\) | 4.10518 | + | 3.89198i | 0.324543 | + | 0.307688i | ||||
\(161\) | −1.10932 | + | 3.65736i | −0.0874268 | + | 0.288240i | ||||
\(162\) | 1.05920 | − | 0.546818i | 0.0832183 | − | 0.0429621i | ||||
\(163\) | −4.95287 | + | 3.18302i | −0.387939 | + | 0.249313i | −0.720043 | − | 0.693930i | \(-0.755878\pi\) |
0.332104 | + | 0.943243i | \(0.392241\pi\) | |||||||
\(164\) | −9.99785 | − | 9.51117i | −0.780701 | − | 0.742698i | ||||
\(165\) | 2.61096 | + | 1.19238i | 0.203263 | + | 0.0928270i | ||||
\(166\) | −13.5775 | − | 14.2234i | −1.05382 | − | 1.10395i | ||||
\(167\) | −19.4995 | + | 8.90513i | −1.50892 | + | 0.689100i | −0.986526 | − | 0.163606i | \(-0.947687\pi\) |
−0.522392 | + | 0.852705i | \(0.674960\pi\) | |||||||
\(168\) | 2.13792 | − | 1.37913i | 0.164944 | − | 0.106402i | ||||
\(169\) | −1.59214 | − | 11.0736i | −0.122472 | − | 0.851814i | ||||
\(170\) | 1.08791 | + | 5.62732i | 0.0834386 | + | 0.431596i | ||||
\(171\) | −4.25772 | − | 3.68934i | −0.325596 | − | 0.282131i | ||||
\(172\) | 3.68147 | + | 9.16556i | 0.280710 | + | 0.698867i | ||||
\(173\) | 6.33956 | − | 9.86454i | 0.481988 | − | 0.749987i | −0.512058 | − | 0.858951i | \(-0.671117\pi\) |
0.994046 | + | 0.108963i | \(0.0347531\pi\) | |||||||
\(174\) | −0.951774 | − | 0.230323i | −0.0721538 | − | 0.0174607i | ||||
\(175\) | −0.764638 | − | 0.224518i | −0.0578012 | − | 0.0169720i | ||||
\(176\) | −4.68174 | − | 9.03066i | −0.352900 | − | 0.680712i | ||||
\(177\) | −1.62840 | − | 1.87928i | −0.122398 | − | 0.141255i | ||||
\(178\) | −1.00268 | + | 1.27651i | −0.0751541 | + | 0.0956785i | ||||
\(179\) | −9.58476 | + | 2.81434i | −0.716399 | + | 0.210354i | −0.619563 | − | 0.784947i | \(-0.712690\pi\) |
−0.0968356 | + | 0.995300i | \(0.530872\pi\) | |||||||
\(180\) | 1.72942 | + | 2.98756i | 0.128903 | + | 0.222680i | ||||
\(181\) | −2.06506 | + | 14.3628i | −0.153495 | + | 1.06758i | 0.756809 | + | 0.653636i | \(0.226757\pi\) |
−0.910303 | + | 0.413942i | \(0.864152\pi\) | |||||||
\(182\) | −1.31446 | − | 0.757903i | −0.0974341 | − | 0.0561795i | ||||
\(183\) | 8.64592 | 0.639125 | ||||||||
\(184\) | −7.25146 | − | 11.4637i | −0.534585 | − | 0.845115i | ||||
\(185\) | 7.73473 | 0.568669 | ||||||||
\(186\) | 3.10579 | + | 1.79077i | 0.227728 | + | 0.131306i | ||||
\(187\) | 1.46675 | − | 10.2014i | 0.107259 | − | 0.746003i | ||||
\(188\) | −19.1246 | + | 11.0707i | −1.39481 | + | 0.807414i | ||||
\(189\) | 4.07882 | − | 1.19765i | 0.296690 | − | 0.0871161i | ||||
\(190\) | −2.85139 | + | 3.63010i | −0.206862 | + | 0.263355i | ||||
\(191\) | 0.187235 | + | 0.216080i | 0.0135478 | + | 0.0156350i | 0.762483 | − | 0.647008i | \(-0.223980\pi\) |
−0.748935 | + | 0.662643i | \(0.769435\pi\) | |||||||
\(192\) | −1.25446 | + | 8.94214i | −0.0905331 | + | 0.645344i | ||||
\(193\) | 19.5876 | + | 5.75144i | 1.40995 | + | 0.413998i | 0.896088 | − | 0.443877i | \(-0.146397\pi\) |
0.513859 | + | 0.857875i | \(0.328216\pi\) | |||||||
\(194\) | 19.2096 | + | 4.64860i | 1.37917 | + | 0.333750i | ||||
\(195\) | −0.821554 | + | 1.27836i | −0.0588327 | + | 0.0915455i | ||||
\(196\) | −11.8126 | + | 4.74468i | −0.843755 | + | 0.338906i | ||||
\(197\) | 5.20472 | + | 4.50991i | 0.370821 | + | 0.321318i | 0.820258 | − | 0.571994i | \(-0.193830\pi\) |
−0.449437 | + | 0.893312i | \(0.648375\pi\) | |||||||
\(198\) | −1.17823 | − | 6.09453i | −0.0837331 | − | 0.433119i | ||||
\(199\) | 1.82606 | + | 12.7005i | 0.129446 | + | 0.900314i | 0.946258 | + | 0.323411i | \(0.104830\pi\) |
−0.816813 | + | 0.576903i | \(0.804261\pi\) | |||||||
\(200\) | 2.37680 | − | 1.53323i | 0.168065 | − | 0.108416i | ||||
\(201\) | 7.18252 | − | 3.28015i | 0.506616 | − | 0.231364i | ||||
\(202\) | 8.50761 | + | 8.91233i | 0.598593 | + | 0.627070i | ||||
\(203\) | −0.444706 | − | 0.203090i | −0.0312123 | − | 0.0142542i | ||||
\(204\) | −6.30589 | + | 6.62855i | −0.441501 | + | 0.464092i | ||||
\(205\) | −5.80433 | + | 3.73022i | −0.405392 | + | 0.260530i | ||||
\(206\) | 14.3972 | − | 7.43268i | 1.00310 | − | 0.517859i | ||||
\(207\) | −2.26135 | − | 7.96276i | −0.157175 | − | 0.553450i | ||||
\(208\) | 5.08501 | − | 1.77294i | 0.352582 | − | 0.122931i | ||||
\(209\) | 6.98288 | − | 4.48762i | 0.483016 | − | 0.310415i | ||||
\(210\) | −0.416741 | − | 1.20187i | −0.0287578 | − | 0.0829373i | ||||
\(211\) | −9.37294 | + | 20.5239i | −0.645260 | + | 1.41292i | 0.250382 | + | 0.968147i | \(0.419444\pi\) |
−0.895642 | + | 0.444775i | \(0.853284\pi\) | |||||||
\(212\) | 4.90958 | − | 14.2378i | 0.337192 | − | 0.977859i | ||||
\(213\) | 0.473878 | − | 0.216413i | 0.0324696 | − | 0.0148284i | ||||
\(214\) | 5.21475 | − | 13.0474i | 0.356473 | − | 0.891900i | ||||
\(215\) | 4.88837 | − | 0.702842i | 0.333384 | − | 0.0479334i | ||||
\(216\) | −6.24416 | + | 13.7350i | −0.424861 | + | 0.934545i | ||||
\(217\) | 1.35267 | + | 1.17210i | 0.0918254 | + | 0.0795672i | ||||
\(218\) | 3.26042 | + | 0.309455i | 0.220823 | + | 0.0209590i | ||||
\(219\) | −13.5259 | − | 8.69255i | −0.913994 | − | 0.587388i | ||||
\(220\) | −4.94131 | + | 1.20472i | −0.333143 | + | 0.0812222i | ||||
\(221\) | 5.23528 | + | 1.53722i | 0.352163 | + | 0.103404i | ||||
\(222\) | 7.16741 | + | 10.0531i | 0.481045 | + | 0.674718i | ||||
\(223\) | −21.4869 | + | 18.6185i | −1.43887 | + | 1.24679i | −0.518876 | + | 0.854850i | \(0.673649\pi\) |
−0.919992 | + | 0.391936i | \(0.871805\pi\) | |||||||
\(224\) | −1.46228 | + | 4.26430i | −0.0977030 | + | 0.284921i | ||||
\(225\) | 1.65609 | − | 0.486272i | 0.110406 | − | 0.0324181i | ||||
\(226\) | −17.9424 | + | 0.864958i | −1.19351 | + | 0.0575362i | ||||
\(227\) | 11.2948 | + | 1.62394i | 0.749661 | + | 0.107785i | 0.506546 | − | 0.862213i | \(-0.330922\pi\) |
0.243114 | + | 0.969998i | \(0.421831\pi\) | |||||||
\(228\) | −7.36041 | − | 0.342204i | −0.487455 | − | 0.0226630i | ||||
\(229\) | −20.6566 | −1.36503 | −0.682514 | − | 0.730872i | \(-0.739113\pi\) | ||||
−0.682514 | + | 0.730872i | \(0.739113\pi\) | |||||||
\(230\) | −6.42755 | + | 2.16486i | −0.423820 | + | 0.142747i | ||||
\(231\) | 2.28743i | 0.150502i | ||||||||
\(232\) | 1.57712 | − | 0.723509i | 0.103543 | − | 0.0475007i | ||||
\(233\) | 2.79274 | − | 19.4239i | 0.182958 | − | 1.27250i | −0.666762 | − | 0.745271i | \(-0.732320\pi\) |
0.849721 | − | 0.527233i | \(-0.176771\pi\) | |||||||
\(234\) | 3.28244 | − | 0.158239i | 0.214580 | − | 0.0103444i | ||||
\(235\) | 3.11283 | + | 10.6013i | 0.203059 | + | 0.691554i | ||||
\(236\) | 4.32748 | + | 0.828933i | 0.281695 | + | 0.0539590i | ||||
\(237\) | −0.267776 | − | 0.309030i | −0.0173939 | − | 0.0200737i | ||||
\(238\) | −3.71911 | + | 2.65156i | −0.241074 | + | 0.171875i | ||||
\(239\) | −5.10580 | + | 17.3887i | −0.330266 | + | 1.12478i | 0.612261 | + | 0.790656i | \(0.290260\pi\) |
−0.942528 | + | 0.334129i | \(0.891558\pi\) | |||||||
\(240\) | 4.19526 | + | 1.66843i | 0.270803 | + | 0.107697i | ||||
\(241\) | −0.341770 | + | 0.531805i | −0.0220154 | + | 0.0342566i | −0.852087 | − | 0.523400i | \(-0.824663\pi\) |
0.830071 | + | 0.557657i | \(0.188300\pi\) | |||||||
\(242\) | −6.38199 | − | 0.605733i | −0.410250 | − | 0.0389380i | ||||
\(243\) | −9.85667 | + | 11.3752i | −0.632305 | + | 0.729719i | ||||
\(244\) | −12.0315 | + | 9.48390i | −0.770237 | + | 0.607145i | ||||
\(245\) | 0.905823 | + | 6.30013i | 0.0578709 | + | 0.402501i | ||||
\(246\) | −10.2269 | − | 4.08746i | −0.652042 | − | 0.260607i | ||||
\(247\) | 1.82551 | + | 3.99730i | 0.116154 | + | 0.254342i | ||||
\(248\) | −6.28630 | + | 0.914816i | −0.399180 | + | 0.0580908i | ||||
\(249\) | −14.2756 | − | 6.51945i | −0.904679 | − | 0.413153i | ||||
\(250\) | −0.463306 | − | 1.33617i | −0.0293021 | − | 0.0845067i | ||||
\(251\) | 6.90785 | + | 10.7488i | 0.436019 | + | 0.678459i | 0.987835 | − | 0.155507i | \(-0.0497011\pi\) |
−0.551815 | + | 0.833966i | \(0.686065\pi\) | |||||||
\(252\) | −1.59316 | + | 2.24270i | −0.100360 | + | 0.141277i | ||||
\(253\) | 12.1954 | + | 0.108464i | 0.766720 | + | 0.00681905i | ||||
\(254\) | 2.85606 | + | 5.53224i | 0.179205 | + | 0.347123i | ||||
\(255\) | 2.47313 | + | 3.84826i | 0.154873 | + | 0.240988i | ||||
\(256\) | −8.06315 | − | 13.8198i | −0.503947 | − | 0.863735i | ||||
\(257\) | 1.55918 | − | 3.41413i | 0.0972591 | − | 0.212968i | −0.854748 | − | 0.519043i | \(-0.826289\pi\) |
0.952007 | + | 0.306075i | \(0.0990158\pi\) | |||||||
\(258\) | 5.44333 | + | 5.70228i | 0.338887 | + | 0.355009i | ||||
\(259\) | 2.56060 | + | 5.60693i | 0.159108 | + | 0.348398i | ||||
\(260\) | −0.259007 | − | 2.68013i | −0.0160629 | − | 0.166214i | ||||
\(261\) | 1.04807 | − | 0.150690i | 0.0648742 | − | 0.00932750i | ||||
\(262\) | 6.53118 | − | 1.26265i | 0.403498 | − | 0.0780066i | ||||
\(263\) | −7.99337 | + | 9.22484i | −0.492892 | + | 0.568828i | −0.946636 | − | 0.322304i | \(-0.895543\pi\) |
0.453744 | + | 0.891132i | \(0.350088\pi\) | |||||||
\(264\) | −6.14469 | − | 5.30602i | −0.378179 | − | 0.326563i | ||||
\(265\) | −6.33487 | − | 4.07117i | −0.389148 | − | 0.250090i | ||||
\(266\) | −3.57543 | − | 0.865231i | −0.219224 | − | 0.0530507i | ||||
\(267\) | −0.364992 | + | 1.24305i | −0.0223371 | + | 0.0760733i | ||||
\(268\) | −6.39698 | + | 12.4433i | −0.390758 | + | 0.760093i | ||||
\(269\) | −0.866558 | + | 0.750877i | −0.0528350 | + | 0.0457818i | −0.680878 | − | 0.732397i | \(-0.738402\pi\) |
0.628043 | + | 0.778179i | \(0.283856\pi\) | |||||||
\(270\) | 5.93252 | + | 4.65991i | 0.361042 | + | 0.283593i | ||||
\(271\) | 2.55134 | + | 8.68906i | 0.154983 | + | 0.527823i | 0.999976 | − | 0.00695443i | \(-0.00221368\pi\) |
−0.844993 | + | 0.534777i | \(0.820395\pi\) | |||||||
\(272\) | 1.50414 | − | 16.1412i | 0.0912021 | − | 0.978706i | ||||
\(273\) | −1.19867 | − | 0.172342i | −0.0725466 | − | 0.0104306i | ||||
\(274\) | 22.2096 | + | 12.8058i | 1.34173 | + | 0.773628i | ||||
\(275\) | 2.54302i | 0.153350i | ||||||||
\(276\) | −8.76984 | − | 6.34801i | −0.527883 | − | 0.382106i | ||||
\(277\) | 16.5426i | 0.993947i | 0.867766 | + | 0.496974i | \(0.165555\pi\) | ||||
−0.867766 | + | 0.496974i | \(0.834445\pi\) | |||||||
\(278\) | −1.79661 | + | 3.11593i | −0.107754 | + | 0.186881i | ||||
\(279\) | −3.83707 | − | 0.551687i | −0.229719 | − | 0.0330287i | ||||
\(280\) | 1.89829 | + | 1.21537i | 0.113445 | + | 0.0726324i | ||||
\(281\) | −0.383883 | − | 1.30738i | −0.0229005 | − | 0.0779920i | 0.947250 | − | 0.320496i | \(-0.103850\pi\) |
−0.970150 | + | 0.242504i | \(0.922031\pi\) | |||||||
\(282\) | −10.8944 | + | 13.8696i | −0.648750 | + | 0.825922i | ||||
\(283\) | 9.51219 | − | 8.24236i | 0.565441 | − | 0.489957i | −0.324592 | − | 0.945854i | \(-0.605227\pi\) |
0.890033 | + | 0.455897i | \(0.150681\pi\) | |||||||
\(284\) | −0.422051 | + | 0.820963i | −0.0250441 | + | 0.0487152i | ||||
\(285\) | −1.03795 | + | 3.53494i | −0.0614830 | + | 0.209392i | ||||
\(286\) | −1.13882 | + | 4.70599i | −0.0673398 | + | 0.278271i | ||||
\(287\) | −4.62559 | − | 2.97268i | −0.273040 | − | 0.175472i | ||||
\(288\) | −2.32895 | − | 9.48194i | −0.137235 | − | 0.558728i | ||||
\(289\) | −0.376467 | + | 0.434466i | −0.0221451 | + | 0.0255568i | ||||
\(290\) | −0.164676 | − | 0.851805i | −0.00967011 | − | 0.0500197i | ||||
\(291\) | 15.6136 | − | 2.24489i | 0.915283 | − | 0.131598i | ||||
\(292\) | 28.3574 | − | 2.74045i | 1.65949 | − | 0.160373i | ||||
\(293\) | 5.85468 | + | 12.8200i | 0.342034 | + | 0.748951i | 0.999992 | − | 0.00410456i | \(-0.00130653\pi\) |
−0.657957 | + | 0.753055i | \(0.728579\pi\) | |||||||
\(294\) | −7.34910 | + | 7.01536i | −0.428608 | + | 0.409144i | ||||
\(295\) | 0.915191 | − | 2.00399i | 0.0532845 | − | 0.116677i | ||||
\(296\) | −21.0015 | − | 6.12757i | −1.22069 | − | 0.356158i | ||||
\(297\) | −7.33394 | − | 11.4118i | −0.425558 | − | 0.662182i | ||||
\(298\) | −3.60610 | + | 1.86168i | −0.208896 | + | 0.107844i | ||||
\(299\) | −0.975679 | + | 6.38251i | −0.0564250 | + | 0.369110i | ||||
\(300\) | 1.30734 | − | 1.84034i | 0.0754792 | − | 0.106252i | ||||
\(301\) | 2.12780 | + | 3.31092i | 0.122644 | + | 0.190838i | ||||
\(302\) | 14.3186 | − | 4.96487i | 0.823944 | − | 0.285696i | ||||
\(303\) | 8.94506 | + | 4.08507i | 0.513880 | + | 0.234681i | ||||
\(304\) | 10.6180 | − | 7.59759i | 0.608982 | − | 0.435752i | ||||
\(305\) | 3.18207 | + | 6.96776i | 0.182205 | + | 0.398973i | ||||
\(306\) | 3.67148 | − | 9.18609i | 0.209884 | − | 0.525134i | ||||
\(307\) | −2.24708 | − | 15.6288i | −0.128248 | − | 0.891983i | −0.947774 | − | 0.318942i | \(-0.896673\pi\) |
0.819526 | − | 0.573041i | \(-0.194237\pi\) | |||||||
\(308\) | −2.50914 | − | 3.18315i | −0.142971 | − | 0.181377i | ||||
\(309\) | 8.46842 | − | 9.77308i | 0.481752 | − | 0.555971i | ||||
\(310\) | −0.300119 | + | 3.16205i | −0.0170456 | + | 0.179592i | ||||
\(311\) | 4.85586 | − | 7.55586i | 0.275350 | − | 0.428453i | −0.675845 | − | 0.737044i | \(-0.736221\pi\) |
0.951195 | + | 0.308591i | \(0.0998573\pi\) | |||||||
\(312\) | 3.24344 | − | 2.82018i | 0.183623 | − | 0.159662i | ||||
\(313\) | −4.79970 | + | 16.3463i | −0.271295 | + | 0.923946i | 0.705309 | + | 0.708900i | \(0.250808\pi\) |
−0.976604 | + | 0.215046i | \(0.931010\pi\) | |||||||
\(314\) | −17.4340 | − | 24.4531i | −0.983859 | − | 1.37997i | ||||
\(315\) | 0.900753 | + | 1.03952i | 0.0507517 | + | 0.0585705i | ||||
\(316\) | 0.711613 | + | 0.136310i | 0.0400314 | + | 0.00766806i | ||||
\(317\) | 1.00213 | + | 3.41294i | 0.0562851 | + | 0.191690i | 0.982837 | − | 0.184479i | \(-0.0590597\pi\) |
−0.926551 | + | 0.376168i | \(0.877241\pi\) | |||||||
\(318\) | −0.578790 | − | 12.0062i | −0.0324569 | − | 0.673274i | ||||
\(319\) | −0.222021 | + | 1.54419i | −0.0124308 | + | 0.0864580i | ||||
\(320\) | −7.66818 | + | 2.28012i | −0.428665 | + | 0.127462i | ||||
\(321\) | − | 11.2143i | − | 0.625921i | ||||||
\(322\) | −3.69717 | − | 3.94267i | −0.206035 | − | 0.219716i | ||||
\(323\) | 13.2285 | 0.736055 | ||||||||
\(324\) | −0.0782910 | + | 1.68395i | −0.00434950 | + | 0.0935527i | ||||
\(325\) | −1.33260 | − | 0.191599i | −0.0739195 | − | 0.0106280i | ||||
\(326\) | −0.400919 | − | 8.31651i | −0.0222048 | − | 0.460609i | ||||
\(327\) | 2.50802 | − | 0.736421i | 0.138694 | − | 0.0407242i | ||||
\(328\) | 18.7152 | − | 5.53007i | 1.03337 | − | 0.305347i | ||||
\(329\) | −6.65442 | + | 5.76609i | −0.366870 | + | 0.317895i | ||||
\(330\) | −3.30525 | + | 2.35650i | −0.181948 | + | 0.129721i | ||||
\(331\) | 19.4760 | + | 5.71868i | 1.07050 | + | 0.314327i | 0.769072 | − | 0.639162i | \(-0.220719\pi\) |
0.301428 | + | 0.953489i | \(0.402537\pi\) | |||||||
\(332\) | 27.0170 | − | 6.58689i | 1.48275 | − | 0.361503i | ||||
\(333\) | −11.2309 | − | 7.21766i | −0.615450 | − | 0.395525i | ||||
\(334\) | 2.86451 | − | 30.1804i | 0.156739 | − | 1.65140i | ||||
\(335\) | 5.28695 | + | 4.58117i | 0.288857 | + | 0.250296i | ||||
\(336\) | 0.179398 | + | 3.59350i | 0.00978697 | + | 0.196041i | ||||
\(337\) | 4.71855 | − | 0.678425i | 0.257036 | − | 0.0369562i | −0.0125922 | − | 0.999921i | \(-0.504008\pi\) |
0.269628 | + | 0.962965i | \(0.413099\pi\) | |||||||
\(338\) | 14.6915 | + | 5.87186i | 0.799111 | + | 0.319387i | ||||
\(339\) | −13.0412 | + | 5.95572i | −0.708302 | + | 0.323470i | ||||
\(340\) | −7.66280 | − | 2.64234i | −0.415574 | − | 0.143301i | ||||
\(341\) | 2.37265 | − | 5.19537i | 0.128486 | − | 0.281345i | ||||
\(342\) | 7.52767 | − | 2.61016i | 0.407050 | − | 0.141141i | ||||
\(343\) | −8.95999 | + | 5.75824i | −0.483794 | + | 0.310916i | ||||
\(344\) | −13.8298 | − | 1.96427i | −0.745652 | − | 0.105907i | ||||
\(345\) | −4.12233 | + | 3.50832i | −0.221939 | + | 0.188881i | ||||
\(346\) | 7.60721 | + | 14.7353i | 0.408966 | + | 0.792174i | ||||
\(347\) | 23.6479 | − | 15.1976i | 1.26949 | − | 0.815850i | 0.279935 | − | 0.960019i | \(-0.409687\pi\) |
0.989553 | + | 0.144169i | \(0.0460507\pi\) | |||||||
\(348\) | 0.954521 | − | 1.00336i | 0.0511677 | − | 0.0537858i | ||||
\(349\) | −22.9320 | − | 10.4727i | −1.22752 | − | 0.560591i | −0.307161 | − | 0.951658i | \(-0.599379\pi\) |
−0.920362 | + | 0.391067i | \(0.872106\pi\) | |||||||
\(350\) | 0.815215 | − | 0.778194i | 0.0435751 | − | 0.0415962i | ||||
\(351\) | 6.53262 | − | 2.98335i | 0.348686 | − | 0.159239i | ||||
\(352\) | 14.3711 | + | 0.643505i | 0.765983 | + | 0.0342989i | ||||
\(353\) | 0.708132 | + | 4.92516i | 0.0376900 | + | 0.262140i | 0.999950 | − | 0.00999160i | \(-0.00318048\pi\) |
−0.962260 | + | 0.272132i | \(0.912271\pi\) | |||||||
\(354\) | 3.45271 | − | 0.667498i | 0.183510 | − | 0.0354771i | ||||
\(355\) | 0.348815 | + | 0.302250i | 0.0185132 | + | 0.0160418i | ||||
\(356\) | −0.855612 | − | 2.13017i | −0.0453473 | − | 0.112899i | ||||
\(357\) | −1.97088 | + | 3.06676i | −0.104310 | + | 0.162310i | ||||
\(358\) | 3.32277 | − | 13.7308i | 0.175614 | − | 0.725697i | ||||
\(359\) | 18.3357 | + | 5.38386i | 0.967723 | + | 0.284149i | 0.727148 | − | 0.686481i | \(-0.240846\pi\) |
0.240576 | + | 0.970630i | \(0.422664\pi\) | |||||||
\(360\) | −4.88188 | + | 0.00835419i | −0.257297 | + | 0.000440304i | ||||
\(361\) | −5.46544 | − | 6.30746i | −0.287655 | − | 0.331971i | ||||
\(362\) | −16.1378 | − | 12.6760i | −0.848182 | − | 0.666235i | ||||
\(363\) | −4.90924 | + | 1.44148i | −0.257668 | + | 0.0756582i | ||||
\(364\) | 1.85709 | − | 1.07502i | 0.0973378 | − | 0.0563462i | ||||
\(365\) | 2.02724 | − | 14.0998i | 0.106111 | − | 0.738015i | ||||
\(366\) | −6.10755 | + | 10.5925i | −0.319247 | + | 0.553681i | ||||
\(367\) | −10.0965 | −0.527033 | −0.263517 | − | 0.964655i | \(-0.584882\pi\) | ||||
−0.263517 | + | 0.964655i | \(0.584882\pi\) | |||||||
\(368\) | 19.1672 | − | 0.786066i | 0.999160 | − | 0.0409765i | ||||
\(369\) | 11.9088 | 0.619947 | ||||||||
\(370\) | −5.46388 | + | 9.47619i | −0.284053 | + | 0.492644i | ||||
\(371\) | 0.854034 | − | 5.93994i | 0.0443392 | − | 0.308386i | ||||
\(372\) | −4.38792 | + | 2.54004i | −0.227503 | + | 0.131695i | ||||
\(373\) | 16.0172 | − | 4.70306i | 0.829337 | − | 0.243515i | 0.160605 | − | 0.987019i | \(-0.448655\pi\) |
0.668732 | + | 0.743503i | \(0.266837\pi\) | |||||||
\(374\) | 11.4622 | + | 9.00336i | 0.592694 | + | 0.465553i | ||||
\(375\) | −0.739150 | − | 0.853025i | −0.0381695 | − | 0.0440500i | ||||
\(376\) | −0.0534786 | − | 31.2509i | −0.00275795 | − | 1.61164i | ||||
\(377\) | −0.792462 | − | 0.232688i | −0.0408139 | − | 0.0119840i | ||||
\(378\) | −1.41401 | + | 5.84318i | −0.0727289 | + | 0.300541i | ||||
\(379\) | 5.72234 | − | 8.90414i | 0.293937 | − | 0.457375i | −0.662605 | − | 0.748969i | \(-0.730549\pi\) |
0.956542 | + | 0.291594i | \(0.0941856\pi\) | |||||||
\(380\) | −2.43316 | − | 6.05771i | −0.124819 | − | 0.310754i | ||||
\(381\) | 3.75538 | + | 3.25406i | 0.192394 | + | 0.166710i | ||||
\(382\) | −0.396994 | + | 0.0767493i | −0.0203120 | + | 0.00392683i | ||||
\(383\) | −1.07342 | − | 7.46579i | −0.0548491 | − | 0.381484i | −0.998694 | − | 0.0510945i | \(-0.983729\pi\) |
0.943845 | − | 0.330389i | \(-0.107180\pi\) | |||||||
\(384\) | −10.0693 | − | 7.85371i | −0.513846 | − | 0.400783i | ||||
\(385\) | −1.84345 | + | 0.841874i | −0.0939507 | + | 0.0429059i | ||||
\(386\) | −20.8832 | + | 19.9348i | −1.06293 | + | 1.01466i | ||||
\(387\) | −7.75382 | − | 3.54105i | −0.394149 | − | 0.180002i | ||||
\(388\) | −19.2650 | + | 20.2508i | −0.978035 | + | 1.02808i | ||||
\(389\) | 8.71387 | − | 5.60006i | 0.441811 | − | 0.283934i | −0.300763 | − | 0.953699i | \(-0.597241\pi\) |
0.742574 | + | 0.669764i | \(0.233605\pi\) | |||||||
\(390\) | −0.985832 | − | 1.90957i | −0.0499195 | − | 0.0966949i | ||||
\(391\) | 16.2569 | + | 10.6532i | 0.822148 | + | 0.538754i | ||||
\(392\) | 2.53156 | − | 17.8238i | 0.127863 | − | 0.900239i | ||||
\(393\) | 4.46638 | − | 2.87037i | 0.225299 | − | 0.144791i | ||||
\(394\) | −9.20197 | + | 3.19071i | −0.463588 | + | 0.160746i | ||||
\(395\) | 0.150495 | − | 0.329537i | 0.00757221 | − | 0.0165808i | ||||
\(396\) | 8.29901 | + | 2.86172i | 0.417041 | + | 0.143807i | ||||
\(397\) | −10.9099 | + | 4.98236i | −0.547550 | + | 0.250058i | −0.669928 | − | 0.742426i | \(-0.733675\pi\) |
0.122378 | + | 0.992484i | \(0.460948\pi\) | |||||||
\(398\) | −16.8499 | − | 6.73454i | −0.844610 | − | 0.337572i | ||||
\(399\) | −2.90611 | + | 0.417835i | −0.145487 | + | 0.0209179i | ||||
\(400\) | 0.199444 | + | 3.99502i | 0.00997218 | + | 0.199751i | ||||
\(401\) | 18.8398 | + | 16.3248i | 0.940815 | + | 0.815221i | 0.982947 | − | 0.183892i | \(-0.0588695\pi\) |
−0.0421319 | + | 0.999112i | \(0.513415\pi\) | |||||||
\(402\) | −1.05512 | + | 11.1168i | −0.0526248 | + | 0.554454i | ||||
\(403\) | 2.54373 | + | 1.63476i | 0.126712 | + | 0.0814330i | ||||
\(404\) | −16.9288 | + | 4.12733i | −0.842238 | + | 0.205342i | ||||
\(405\) | 0.808741 | + | 0.237468i | 0.0401867 | + | 0.0117999i | ||||
\(406\) | 0.562960 | − | 0.401366i | 0.0279392 | − | 0.0199195i | ||||
\(407\) | 14.8653 | − | 12.8809i | 0.736846 | − | 0.638480i | ||||
\(408\) | −3.66643 | − | 12.4081i | −0.181515 | − | 0.614293i | ||||
\(409\) | 19.8291 | − | 5.82236i | 0.980488 | − | 0.287897i | 0.248062 | − | 0.968744i | \(-0.420206\pi\) |
0.732426 | + | 0.680847i | \(0.238388\pi\) | |||||||
\(410\) | −0.469842 | − | 9.74623i | −0.0232039 | − | 0.481332i | ||||
\(411\) | 20.2531 | + | 2.91196i | 0.999014 | + | 0.143637i | ||||
\(412\) | −1.06418 | + | 22.8892i | −0.0524283 | + | 1.12767i | ||||
\(413\) | 1.75567 | 0.0863910 | ||||||||
\(414\) | 11.3530 | + | 2.85447i | 0.557969 | + | 0.140289i | ||||
\(415\) | − | 13.9042i | − | 0.682529i | ||||||
\(416\) | −1.41998 | + | 7.48231i | −0.0696200 | + | 0.366850i | ||||
\(417\) | −0.408538 | + | 2.84144i | −0.0200062 | + | 0.139146i | ||||
\(418\) | 0.565242 | + | 11.7252i | 0.0276469 | + | 0.573496i | ||||
\(419\) | 2.82584 | + | 9.62393i | 0.138051 | + | 0.470160i | 0.999275 | − | 0.0380660i | \(-0.0121197\pi\) |
−0.861224 | + | 0.508226i | \(0.830302\pi\) | |||||||
\(420\) | 1.76686 | + | 0.338445i | 0.0862141 | + | 0.0165144i | ||||
\(421\) | −0.565838 | − | 0.653012i | −0.0275773 | − | 0.0318259i | 0.741793 | − | 0.670628i | \(-0.233976\pi\) |
−0.769371 | + | 0.638803i | \(0.779430\pi\) | |||||||
\(422\) | −18.5237 | − | 25.9815i | −0.901718 | − | 1.26476i | ||||
\(423\) | 5.37276 | − | 18.2980i | 0.261233 | − | 0.889677i | ||||
\(424\) | 13.9753 | + | 16.0727i | 0.678700 | + | 0.780559i | ||||
\(425\) | −2.19110 | + | 3.40943i | −0.106284 | + | 0.165381i | ||||
\(426\) | −0.0696135 | + | 0.733446i | −0.00337278 | + | 0.0355356i | ||||
\(427\) | −3.99752 | + | 4.61339i | −0.193454 | + | 0.223257i | ||||
\(428\) | 12.3012 | + | 15.6056i | 0.594602 | + | 0.754325i | ||||
\(429\) | 0.549956 | + | 3.82503i | 0.0265521 | + | 0.184674i | ||||
\(430\) | −2.59210 | + | 6.48547i | −0.125002 | + | 0.312757i | ||||
\(431\) | −1.26019 | − | 2.75943i | −0.0607011 | − | 0.132917i | 0.876850 | − | 0.480763i | \(-0.159640\pi\) |
−0.937552 | + | 0.347846i | \(0.886913\pi\) | |||||||
\(432\) | −12.4164 | − | 17.3525i | −0.597386 | − | 0.834873i | ||||
\(433\) | −20.4604 | − | 9.34396i | −0.983265 | − | 0.449042i | −0.142118 | − | 0.989850i | \(-0.545391\pi\) |
−0.841146 | + | 0.540808i | \(0.818119\pi\) | |||||||
\(434\) | −2.39153 | + | 0.829245i | −0.114797 | + | 0.0398050i | ||||
\(435\) | −0.374357 | − | 0.582510i | −0.0179490 | − | 0.0279292i | ||||
\(436\) | −2.68231 | + | 3.77589i | −0.128459 | + | 0.180832i | ||||
\(437\) | 2.08989 | + | 15.5137i | 0.0999728 | + | 0.742121i | ||||
\(438\) | 20.2045 | − | 10.4307i | 0.965406 | − | 0.498399i | ||||
\(439\) | −3.52377 | − | 5.48310i | −0.168181 | − | 0.261694i | 0.746925 | − | 0.664908i | \(-0.231529\pi\) |
−0.915106 | + | 0.403214i | \(0.867893\pi\) | |||||||
\(440\) | 2.01462 | − | 6.90486i | 0.0960433 | − | 0.329176i | ||||
\(441\) | 4.56370 | − | 9.99312i | 0.217319 | − | 0.475863i | ||||
\(442\) | −5.58156 | + | 5.32809i | −0.265488 | + | 0.253431i | ||||
\(443\) | −4.78067 | − | 10.4682i | −0.227137 | − | 0.497360i | 0.761411 | − | 0.648270i | \(-0.224507\pi\) |
−0.988548 | + | 0.150910i | \(0.951780\pi\) | |||||||
\(444\) | −17.3796 | + | 1.67956i | −0.824800 | + | 0.0797085i | ||||
\(445\) | −1.13611 | + | 0.163348i | −0.0538567 | + | 0.00774342i | ||||
\(446\) | −7.63190 | − | 39.4769i | −0.361381 | − | 1.86928i | ||||
\(447\) | −2.12111 | + | 2.44789i | −0.100325 | + | 0.115781i | ||||
\(448\) | −4.19143 | − | 4.80385i | −0.198027 | − | 0.226961i | ||||
\(449\) | 29.5555 | + | 18.9941i | 1.39481 | + | 0.896389i | 0.999752 | − | 0.0222673i | \(-0.00708847\pi\) |
0.395057 | + | 0.918657i | \(0.370725\pi\) | |||||||
\(450\) | −0.574121 | + | 2.37246i | −0.0270643 | + | 0.111839i | ||||
\(451\) | −4.94326 | + | 16.8352i | −0.232769 | + | 0.792738i | ||||
\(452\) | 11.6149 | − | 22.5931i | 0.546320 | − | 1.06269i | ||||
\(453\) | 9.14116 | − | 7.92086i | 0.429489 | − | 0.372154i | ||||
\(454\) | −9.96829 | + | 12.6906i | −0.467835 | + | 0.595600i | ||||
\(455\) | −0.302270 | − | 1.02944i | −0.0141706 | − | 0.0482608i | ||||
\(456\) | 5.61870 | − | 8.77585i | 0.263120 | − | 0.410967i | ||||
\(457\) | −22.1957 | − | 3.19126i | −1.03827 | − | 0.149281i | −0.397966 | − | 0.917400i | \(-0.630284\pi\) |
−0.640307 | + | 0.768119i | \(0.721193\pi\) | |||||||
\(458\) | 14.5920 | − | 25.3074i | 0.681840 | − | 1.18254i | ||||
\(459\) | − | 21.6188i | − | 1.00908i | ||||||
\(460\) | 1.88820 | − | 9.40397i | 0.0880376 | − | 0.438463i | ||||
\(461\) | 11.7247i | 0.546076i | 0.962003 | + | 0.273038i | \(0.0880284\pi\) | ||||
−0.962003 | + | 0.273038i | \(0.911972\pi\) | |||||||
\(462\) | −2.80244 | − | 1.61586i | −0.130382 | − | 0.0751767i | ||||
\(463\) | 35.1799 | + | 5.05811i | 1.63495 | + | 0.235070i | 0.897719 | − | 0.440569i | \(-0.145223\pi\) |
0.737232 | + | 0.675640i | \(0.236133\pi\) | |||||||
\(464\) | −0.227682 | + | 2.44329i | −0.0105699 | + | 0.113427i | ||||
\(465\) | 0.714202 | + | 2.43235i | 0.0331203 | + | 0.112798i | ||||
\(466\) | 21.8244 | + | 17.1427i | 1.01099 | + | 0.794122i | ||||
\(467\) | −20.4108 | + | 17.6861i | −0.944500 | + | 0.818414i | −0.983515 | − | 0.180825i | \(-0.942123\pi\) |
0.0390154 | + | 0.999239i | \(0.487578\pi\) | |||||||
\(468\) | −2.12488 | + | 4.13326i | −0.0982225 | + | 0.191060i | ||||
\(469\) | −1.57065 | + | 5.34914i | −0.0725258 | + | 0.247000i | ||||
\(470\) | −15.1871 | − | 3.67518i | −0.700530 | − | 0.169524i | ||||
\(471\) | −20.1639 | − | 12.9586i | −0.929105 | − | 0.597099i | ||||
\(472\) | −4.07253 | + | 4.71623i | −0.187453 | + | 0.217082i | ||||
\(473\) | 8.22445 | − | 9.49152i | 0.378161 | − | 0.436421i | ||||
\(474\) | 0.567767 | − | 0.109764i | 0.0260784 | − | 0.00504163i | ||||
\(475\) | −3.23083 | + | 0.464523i | −0.148241 | + | 0.0213138i | ||||
\(476\) | −0.621349 | − | 6.42954i | −0.0284795 | − | 0.294698i | ||||
\(477\) | 5.39927 | + | 11.8228i | 0.247216 | + | 0.541327i | ||||
\(478\) | −17.6970 | − | 18.5389i | −0.809442 | − | 0.847950i | ||||
\(479\) | 3.13699 | − | 6.86905i | 0.143333 | − | 0.313855i | −0.824327 | − | 0.566114i | \(-0.808446\pi\) |
0.967660 | + | 0.252259i | \(0.0811735\pi\) | |||||||
\(480\) | −5.00765 | + | 3.96122i | −0.228567 | + | 0.180804i | ||||
\(481\) | 5.62986 | + | 8.76024i | 0.256700 | + | 0.399433i | ||||
\(482\) | −0.410111 | − | 0.794391i | −0.0186800 | − | 0.0361835i | ||||
\(483\) | −3.90789 | − | 1.82685i | −0.177815 | − | 0.0831246i | ||||
\(484\) | 5.25040 | − | 7.39099i | 0.238655 | − | 0.335954i | ||||
\(485\) | 7.55562 | + | 11.7568i | 0.343083 | + | 0.533848i | ||||
\(486\) | −6.97347 | − | 20.1114i | −0.316323 | − | 0.912272i | ||||
\(487\) | −3.24927 | − | 1.48389i | −0.147238 | − | 0.0672416i | 0.340433 | − | 0.940269i | \(-0.389426\pi\) |
−0.487671 | + | 0.873027i | \(0.662154\pi\) | |||||||
\(488\) | −3.12004 | − | 21.4399i | −0.141238 | − | 0.970537i | ||||
\(489\) | −2.76055 | − | 6.04476i | −0.124836 | − | 0.273354i | ||||
\(490\) | −8.35848 | − | 3.34070i | −0.377598 | − | 0.150917i | ||||
\(491\) | −5.91713 | − | 41.1546i | −0.267037 | − | 1.85728i | −0.476118 | − | 0.879382i | \(-0.657956\pi\) |
0.209081 | − | 0.977898i | \(-0.432953\pi\) | |||||||
\(492\) | 12.2321 | − | 9.64203i | 0.551466 | − | 0.434696i | ||||
\(493\) | −1.62816 | + | 1.87899i | −0.0733285 | + | 0.0846256i | ||||
\(494\) | −6.18683 | − | 0.587210i | −0.278359 | − | 0.0264198i | ||||
\(495\) | 2.37302 | − | 3.69249i | 0.106659 | − | 0.165965i | ||||
\(496\) | 3.31991 | − | 8.34788i | 0.149068 | − | 0.374831i | ||||
\(497\) | −0.103626 | + | 0.352917i | −0.00464826 | + | 0.0158305i | ||||
\(498\) | 18.0717 | − | 12.8843i | 0.809812 | − | 0.577361i | ||||
\(499\) | −9.12998 | − | 10.5366i | −0.408714 | − | 0.471681i | 0.513652 | − | 0.857999i | \(-0.328292\pi\) |
−0.922366 | + | 0.386318i | \(0.873747\pi\) | |||||||
\(500\) | 1.96429 | + | 0.376262i | 0.0878456 | + | 0.0168269i | ||||
\(501\) | −6.81677 | − | 23.2158i | −0.304551 | − | 1.03721i | ||||
\(502\) | −18.0487 | + | 0.870082i | −0.805551 | + | 0.0388337i | ||||
\(503\) | −4.53797 | + | 31.5623i | −0.202338 | + | 1.40729i | 0.594984 | + | 0.803738i | \(0.297159\pi\) |
−0.797322 | + | 0.603555i | \(0.793751\pi\) | |||||||
\(504\) | −1.62221 | − | 3.53612i | −0.0722590 | − | 0.157511i | ||||
\(505\) | 8.71232i | 0.387693i | ||||||||
\(506\) | −8.74784 | + | 14.8646i | −0.388889 | + | 0.660812i | ||||
\(507\) | 12.6274 | 0.560804 | ||||||||
\(508\) | −8.79536 | − | 0.408918i | −0.390231 | − | 0.0181428i | ||||
\(509\) | −21.8448 | − | 3.14080i | −0.968252 | − | 0.139214i | −0.359996 | − | 0.932954i | \(-0.617222\pi\) |
−0.608257 | + | 0.793740i | \(0.708131\pi\) | |||||||
\(510\) | −6.46173 | + | 0.311505i | −0.286130 | + | 0.0137937i | ||||
\(511\) | 10.8921 | − | 3.19820i | 0.481837 | − | 0.141480i | ||||
\(512\) | 22.6271 | − | 0.116164i | 0.999987 | − | 0.00513377i | ||||
\(513\) | 13.1587 | − | 11.4021i | 0.580971 | − | 0.503414i | ||||
\(514\) | 3.08140 | + | 4.32200i | 0.135915 | + | 0.190635i | ||||
\(515\) | 10.9929 | + | 3.22780i | 0.484404 | + | 0.142234i | ||||
\(516\) | −10.8314 | + | 2.64075i | −0.476824 | + | 0.116252i | ||||
\(517\) | 23.6372 | + | 15.1907i | 1.03956 | + | 0.668086i | ||||
\(518\) | −8.67815 | − | 0.823668i | −0.381296 | − | 0.0361899i | ||||
\(519\) | 10.0026 | + | 8.66728i | 0.439064 | + | 0.380451i | ||||
\(520\) | 3.46652 | + | 1.57594i | 0.152017 | + | 0.0691096i | ||||
\(521\) | −18.0654 | + | 2.59741i | −0.791458 | + | 0.113794i | −0.526175 | − | 0.850376i | \(-0.676374\pi\) |
−0.265283 | + | 0.964171i | \(0.585465\pi\) | |||||||
\(522\) | −0.555750 | + | 1.39050i | −0.0243245 | + | 0.0608603i | ||||
\(523\) | 2.89540 | − | 1.32229i | 0.126607 | − | 0.0578195i | −0.351104 | − | 0.936336i | \(-0.614194\pi\) |
0.477711 | + | 0.878517i | \(0.341466\pi\) | |||||||
\(524\) | −3.06675 | + | 8.89361i | −0.133972 | + | 0.388519i | ||||
\(525\) | 0.373663 | − | 0.818208i | 0.0163080 | − | 0.0357095i | ||||
\(526\) | −5.65521 | − | 16.3096i | −0.246579 | − | 0.711131i | ||||
\(527\) | 7.65741 | − | 4.92112i | 0.333562 | − | 0.214367i | ||||
\(528\) | 10.8413 | − | 3.77994i | 0.471808 | − | 0.164501i | ||||
\(529\) | −9.92515 | + | 20.7483i | −0.431528 | + | 0.902099i | ||||
\(530\) | 9.46279 | − | 4.88524i | 0.411037 | − | 0.212201i | ||||
\(531\) | −3.19889 | + | 2.05580i | −0.138820 | + | 0.0892141i | ||||
\(532\) | 3.58575 | − | 3.76923i | 0.155462 | − | 0.163417i | ||||
\(533\) | −8.44958 | − | 3.85879i | −0.365992 | − | 0.167143i | ||||
\(534\) | −1.26508 | − | 1.32527i | −0.0547456 | − | 0.0573500i | ||||
\(535\) | 9.03763 | − | 4.12735i | 0.390731 | − | 0.178441i | ||||
\(536\) | −10.7259 | − | 16.6273i | −0.463290 | − | 0.718189i | ||||
\(537\) | −1.60462 | − | 11.1604i | −0.0692447 | − | 0.481607i | ||||
\(538\) | −0.307792 | − | 1.59209i | −0.0132698 | − | 0.0686397i | ||||
\(539\) | 12.2327 | + | 10.5997i | 0.526898 | + | 0.456560i | ||||
\(540\) | −9.89987 | + | 3.97642i | −0.426022 | + | 0.171118i | ||||
\(541\) | 15.4889 | − | 24.1012i | 0.665919 | − | 1.03619i | −0.329826 | − | 0.944042i | \(-0.606990\pi\) |
0.995745 | − | 0.0921486i | \(-0.0293735\pi\) | |||||||
\(542\) | −12.4477 | − | 3.01226i | −0.534673 | − | 0.129387i | ||||
\(543\) | −15.7147 | − | 4.61427i | −0.674384 | − | 0.198017i | ||||
\(544\) | 18.7129 | + | 13.2451i | 0.802307 | + | 0.567879i | ||||
\(545\) | 1.51654 | + | 1.75018i | 0.0649615 | + | 0.0749696i | ||||
\(546\) | 1.05789 | − | 1.34680i | 0.0452736 | − | 0.0576377i | ||||
\(547\) | 29.7241 | − | 8.72779i | 1.27091 | − | 0.373174i | 0.424367 | − | 0.905490i | \(-0.360497\pi\) |
0.846545 | + | 0.532317i | \(0.178678\pi\) | |||||||
\(548\) | −31.3781 | + | 18.1639i | −1.34040 | + | 0.775923i | ||||
\(549\) | 1.88157 | − | 13.0866i | 0.0803034 | − | 0.558522i | ||||
\(550\) | −3.11558 | − | 1.79641i | −0.132849 | − | 0.0765993i | ||||
\(551\) | −2.00240 | −0.0853050 | ||||||||
\(552\) | 13.9723 | − | 6.26007i | 0.594702 | − | 0.266446i | ||||
\(553\) | 0.288704 | 0.0122770 | ||||||||
\(554\) | −20.2671 | − | 11.6858i | −0.861067 | − | 0.496483i | ||||
\(555\) | −1.24245 | + | 8.64143i | −0.0527391 | + | 0.366808i | ||||
\(556\) | −2.54833 | − | 4.40223i | −0.108073 | − | 0.186696i | ||||
\(557\) | −24.7943 | + | 7.28027i | −1.05057 | + | 0.308475i | −0.761047 | − | 0.648697i | \(-0.775314\pi\) |
−0.289522 | + | 0.957171i | \(0.593496\pi\) | |||||||
\(558\) | 3.38644 | − | 4.31126i | 0.143359 | − | 0.182510i | ||||
\(559\) | 4.35412 | + | 5.02492i | 0.184160 | + | 0.212531i | ||||
\(560\) | −2.82998 | + | 1.46714i | −0.119588 | + | 0.0619979i | ||||
\(561\) | 11.1617 | + | 3.27737i | 0.471247 | + | 0.138371i | ||||
\(562\) | 1.87292 | + | 0.453234i | 0.0790043 | + | 0.0191185i | ||||
\(563\) | 13.7730 | − | 21.4311i | 0.580461 | − | 0.903215i | −0.419529 | − | 0.907742i | \(-0.637805\pi\) |
0.999990 | + | 0.00452735i | \(0.00144111\pi\) | |||||||
\(564\) | −9.29643 | − | 23.1448i | −0.391450 | − | 0.974572i | ||||
\(565\) | −9.59945 | − | 8.31797i | −0.403852 | − | 0.349940i | ||||
\(566\) | 3.37862 | + | 17.4763i | 0.142014 | + | 0.734584i | ||||
\(567\) | 0.0955944 | + | 0.664873i | 0.00401459 | + | 0.0279221i | ||||
\(568\) | −0.707661 | − | 1.09701i | −0.0296928 | − | 0.0460295i | ||||
\(569\) | −12.2882 | + | 5.61184i | −0.515149 | + | 0.235261i | −0.655987 | − | 0.754772i | \(-0.727747\pi\) |
0.140838 | + | 0.990033i | \(0.455020\pi\) | |||||||
\(570\) | −3.59761 | − | 3.76876i | −0.150687 | − | 0.157856i | ||||
\(571\) | −12.6337 | − | 5.76963i | −0.528705 | − | 0.241451i | 0.133133 | − | 0.991098i | \(-0.457496\pi\) |
−0.661838 | + | 0.749647i | \(0.730223\pi\) | |||||||
\(572\) | −4.96107 | − | 4.71957i | −0.207433 | − | 0.197335i | ||||
\(573\) | −0.271486 | + | 0.174474i | −0.0113415 | + | 0.00728874i | ||||
\(574\) | 6.90953 | − | 3.56710i | 0.288398 | − | 0.148888i | ||||
\(575\) | −4.34455 | − | 2.03098i | −0.181180 | − | 0.0846977i | ||||
\(576\) | 13.2620 | + | 3.84481i | 0.552582 | + | 0.160200i | ||||
\(577\) | −17.8074 | + | 11.4441i | −0.741331 | + | 0.476424i | −0.855998 | − | 0.516980i | \(-0.827056\pi\) |
0.114667 | + | 0.993404i | \(0.463420\pi\) | |||||||
\(578\) | −0.266346 | − | 0.768138i | −0.0110785 | − | 0.0319503i | ||||
\(579\) | −9.57206 | + | 20.9599i | −0.397801 | + | 0.871063i | ||||
\(580\) | 1.15992 | + | 0.399970i | 0.0481629 | + | 0.0166078i | ||||
\(581\) | 10.0792 | − | 4.60301i | 0.418155 | − | 0.190965i | ||||
\(582\) | −8.27922 | + | 20.7147i | −0.343185 | + | 0.858653i | ||||
\(583\) | −18.9548 | + | 2.72528i | −0.785026 | + | 0.112870i | ||||
\(584\) | −16.6744 | + | 36.6779i | −0.689993 | + | 1.51774i | ||||
\(585\) | 1.75616 | + | 1.52172i | 0.0726083 | + | 0.0629154i | ||||
\(586\) | −19.8422 | − | 1.88328i | −0.819672 | − | 0.0777974i | ||||
\(587\) | −27.5828 | − | 17.7264i | −1.13846 | − | 0.731646i | −0.171153 | − | 0.985244i | \(-0.554749\pi\) |
−0.967309 | + | 0.253599i | \(0.918386\pi\) | |||||||
\(588\) | −3.40339 | − | 13.9594i | −0.140354 | − | 0.575678i | ||||
\(589\) | 7.03395 | + | 2.06535i | 0.289829 | + | 0.0851015i | ||||
\(590\) | 1.80868 | + | 2.53688i | 0.0744623 | + | 0.104442i | ||||
\(591\) | −5.87463 | + | 5.09040i | −0.241650 | + | 0.209391i | ||||
\(592\) | 22.3428 | − | 21.4013i | 0.918283 | − | 0.879590i | ||||
\(593\) | 33.6141 | − | 9.86999i | 1.38037 | − | 0.405312i | 0.494469 | − | 0.869195i | \(-0.335362\pi\) |
0.885896 | + | 0.463883i | \(0.153544\pi\) | |||||||
\(594\) | 19.1619 | − | 0.923751i | 0.786224 | − | 0.0379020i | ||||
\(595\) | −3.19687 | − | 0.459641i | −0.131059 | − | 0.0188434i | ||||
\(596\) | 0.266547 | − | 5.73312i | 0.0109182 | − | 0.234838i | ||||
\(597\) | −14.4826 | −0.592735 | ||||||||
\(598\) | −7.13030 | − | 5.70401i | −0.291579 | − | 0.233254i | ||||
\(599\) | 19.9299i | 0.814312i | 0.913359 | + | 0.407156i | \(0.133479\pi\) | ||||
−0.913359 | + | 0.407156i | \(0.866521\pi\) | |||||||
\(600\) | 1.33117 | + | 2.90171i | 0.0543449 | + | 0.118462i | ||||
\(601\) | −3.51931 | + | 24.4774i | −0.143556 | + | 0.998452i | 0.782927 | + | 0.622114i | \(0.213726\pi\) |
−0.926482 | + | 0.376338i | \(0.877183\pi\) | |||||||
\(602\) | −5.55946 | + | 0.268008i | −0.226587 | + | 0.0109232i | ||||
\(603\) | −3.40179 | − | 11.5854i | −0.138531 | − | 0.471795i | ||||
\(604\) | −4.03209 | + | 21.0496i | −0.164063 | + | 0.856498i | ||||
\(605\) | −2.96850 | − | 3.42583i | −0.120687 | − | 0.139280i | ||||
\(606\) | −11.3237 | + | 8.07329i | −0.459993 | + | 0.327955i | ||||
\(607\) | 11.6338 | − | 39.6209i | 0.472199 | − | 1.60816i | −0.287426 | − | 0.957803i | \(-0.592800\pi\) |
0.759626 | − | 0.650361i | \(-0.225382\pi\) | |||||||
\(608\) | 1.80756 | + | 18.3756i | 0.0733061 | + | 0.745228i | ||||
\(609\) | 0.298332 | − | 0.464214i | 0.0120890 | − | 0.0188109i | ||||
\(610\) | −10.7844 | − | 1.02358i | −0.436647 | − | 0.0414434i | ||||
\(611\) | −9.74117 | + | 11.2419i | −0.394085 | + | 0.454799i | ||||
\(612\) | 8.66076 | + | 10.9872i | 0.350091 | + | 0.444133i | ||||
\(613\) | −0.105625 | − | 0.734641i | −0.00426617 | − | 0.0296719i | 0.987577 | − | 0.157135i | \(-0.0502257\pi\) |
−0.991843 | + | 0.127463i | \(0.959317\pi\) | |||||||
\(614\) | 20.7350 | + | 8.28731i | 0.836795 | + | 0.334448i | ||||
\(615\) | −3.23513 | − | 7.08394i | −0.130453 | − | 0.285652i | ||||
\(616\) | 5.67230 | − | 0.825463i | 0.228543 | − | 0.0332589i | ||||
\(617\) | −35.0288 | − | 15.9971i | −1.41021 | − | 0.644020i | −0.442656 | − | 0.896692i | \(-0.645964\pi\) |
−0.967552 | + | 0.252671i | \(0.918691\pi\) | |||||||
\(618\) | 5.99131 | + | 17.2789i | 0.241006 | + | 0.695058i | ||||
\(619\) | −11.3989 | − | 17.7370i | −0.458160 | − | 0.712911i | 0.532922 | − | 0.846164i | \(-0.321094\pi\) |
−0.991082 | + | 0.133254i | \(0.957458\pi\) | |||||||
\(620\) | −3.66197 | − | 2.60138i | −0.147068 | − | 0.104474i | ||||
\(621\) | 25.3534 | − | 3.41542i | 1.01740 | − | 0.137056i | ||||
\(622\) | 5.82683 | + | 11.2867i | 0.233635 | + | 0.452554i | ||||
\(623\) | −0.494522 | − | 0.769491i | −0.0198126 | − | 0.0308290i | ||||
\(624\) | 1.16396 | + | 5.96589i | 0.0465955 | + | 0.238827i | ||||
\(625\) | 0.415415 | − | 0.909632i | 0.0166166 | − | 0.0363853i | ||||
\(626\) | −16.6361 | − | 17.4275i | −0.664910 | − | 0.696542i | ||||
\(627\) | 3.89201 | + | 8.52230i | 0.155432 | + | 0.340348i | ||||
\(628\) | 42.2742 | − | 4.08537i | 1.68693 | − | 0.163024i | ||||
\(629\) | 31.0282 | − | 4.46118i | 1.23717 | − | 0.177879i | ||||
\(630\) | −1.90987 | + | 0.369227i | −0.0760910 | + | 0.0147104i | ||||
\(631\) | 4.64300 | − | 5.35831i | 0.184835 | − | 0.213311i | −0.655768 | − | 0.754962i | \(-0.727655\pi\) |
0.840603 | + | 0.541651i | \(0.182201\pi\) | |||||||
\(632\) | −0.669690 | + | 0.775541i | −0.0266388 | + | 0.0308494i | ||||
\(633\) | −21.4242 | − | 13.7685i | −0.851535 | − | 0.547248i | ||||
\(634\) | −4.88926 | − | 1.18317i | −0.194177 | − | 0.0469897i | ||||
\(635\) | −1.24031 | + | 4.22410i | −0.0492201 | + | 0.167628i | ||||
\(636\) | 15.1182 | + | 7.77217i | 0.599477 | + | 0.308187i | ||||
\(637\) | −6.47612 | + | 5.61159i | −0.256593 | + | 0.222339i | ||||
\(638\) | −1.73502 | − | 1.36284i | −0.0686902 | − | 0.0539552i | ||||
\(639\) | −0.224438 | − | 0.764366i | −0.00887863 | − | 0.0302378i | ||||
\(640\) | 2.62339 | − | 11.0054i | 0.103698 | − | 0.435025i | ||||
\(641\) | 38.3348 | + | 5.51172i | 1.51414 | + | 0.217700i | 0.848747 | − | 0.528798i | \(-0.177357\pi\) |
0.665388 | + | 0.746498i | \(0.268266\pi\) | |||||||
\(642\) | 13.7392 | + | 7.92188i | 0.542242 | + | 0.312651i | ||||
\(643\) | − | 36.7112i | − | 1.44775i | −0.689931 | − | 0.723875i | \(-0.742359\pi\) | ||
0.689931 | − | 0.723875i | \(-0.257641\pi\) | |||||||
\(644\) | 7.44206 | − | 1.74445i | 0.293258 | − | 0.0687408i | ||||
\(645\) | 5.57431i | 0.219488i | ||||||||
\(646\) | −9.34474 | + | 16.2069i | −0.367664 | + | 0.637652i | ||||
\(647\) | 8.09612 | + | 1.16405i | 0.318291 | + | 0.0457634i | 0.299609 | − | 0.954062i | \(-0.403144\pi\) |
0.0186823 | + | 0.999825i | \(0.494053\pi\) | |||||||
\(648\) | −2.00778 | − | 1.28547i | −0.0788731 | − | 0.0504982i | ||||
\(649\) | −1.57840 | − | 5.37554i | −0.0619576 | − | 0.211008i | ||||
\(650\) | 1.17610 | − | 1.49729i | 0.0461304 | − | 0.0587285i | ||||
\(651\) | −1.52678 | + | 1.32296i | −0.0598392 | + | 0.0518510i | ||||
\(652\) | 10.4722 | + | 5.38366i | 0.410122 | + | 0.210840i | ||||
\(653\) | −0.658894 | + | 2.24399i | −0.0257845 | + | 0.0878140i | −0.971380 | − | 0.237530i | \(-0.923662\pi\) |
0.945596 | + | 0.325344i | \(0.105480\pi\) | |||||||
\(654\) | −0.869460 | + | 3.59291i | −0.0339986 | + | 0.140494i | ||||
\(655\) | 3.95705 | + | 2.54304i | 0.154615 | + | 0.0993649i | ||||
\(656\) | −6.44538 | + | 26.8353i | −0.251650 | + | 1.04774i | ||||
\(657\) | −16.1008 | + | 18.5813i | −0.628150 | + | 0.724924i | ||||
\(658\) | −2.36358 | − | 12.2259i | −0.0921418 | − | 0.476614i | ||||
\(659\) | 0.413706 | − | 0.0594819i | 0.0161157 | − | 0.00231708i | −0.134252 | − | 0.990947i | \(-0.542863\pi\) |
0.150368 | + | 0.988630i | \(0.451954\pi\) | |||||||
\(660\) | −0.552207 | − | 5.71407i | −0.0214946 | − | 0.222420i | ||||
\(661\) | −12.9742 | − | 28.4095i | −0.504637 | − | 1.10500i | −0.974934 | − | 0.222493i | \(-0.928581\pi\) |
0.470297 | − | 0.882508i | \(-0.344147\pi\) | |||||||
\(662\) | −20.7643 | + | 19.8213i | −0.807026 | + | 0.770377i | ||||
\(663\) | −2.55837 | + | 5.60206i | −0.0993590 | + | 0.217566i | ||||
\(664\) | −11.0151 | + | 37.7528i | −0.427468 | + | 1.46509i | ||||
\(665\) | −1.40631 | − | 2.18826i | −0.0545343 | − | 0.0848570i | ||||
\(666\) | 16.7763 | − | 8.66090i | 0.650068 | − | 0.335603i | ||||
\(667\) | −2.46081 | − | 1.61257i | −0.0952828 | − | 0.0624388i | ||||
\(668\) | 34.9520 | + | 24.8292i | 1.35233 | + | 0.960669i | ||||
\(669\) | −17.3495 | − | 26.9964i | −0.670772 | − | 1.04374i | ||||
\(670\) | −9.34736 | + | 3.24112i | −0.361120 | + | 0.125216i | ||||
\(671\) | 17.7192 | + | 8.09208i | 0.684042 | + | 0.312391i | ||||
\(672\) | −4.52930 | − | 2.31869i | −0.174721 | − | 0.0894453i | ||||
\(673\) | 13.7786 | + | 30.1709i | 0.531125 | + | 1.16300i | 0.965053 | + | 0.262055i | \(0.0844001\pi\) |
−0.433928 | + | 0.900948i | \(0.642873\pi\) | |||||||
\(674\) | −2.50205 | + | 6.26017i | −0.0963754 | + | 0.241133i | ||||
\(675\) | 0.759151 | + | 5.28001i | 0.0292197 | + | 0.203228i | ||||
\(676\) | −17.5721 | + | 13.8513i | −0.675849 | + | 0.532743i | ||||
\(677\) | −22.7377 | + | 26.2408i | −0.873882 | + | 1.00851i | 0.125982 | + | 0.992033i | \(0.459792\pi\) |
−0.999864 | + | 0.0164815i | \(0.994754\pi\) | |||||||
\(678\) | 1.91578 | − | 20.1846i | 0.0735749 | − | 0.775184i | ||||
\(679\) | −6.02122 | + | 9.36920i | −0.231073 | + | 0.359557i | ||||
\(680\) | 8.65032 | − | 7.52150i | 0.331725 | − | 0.288436i | ||||
\(681\) | −3.62862 | + | 12.3579i | −0.139049 | + | 0.473557i | ||||
\(682\) | 4.68904 | + | 6.57690i | 0.179553 | + | 0.251842i | ||||
\(683\) | −7.37485 | − | 8.51103i | −0.282191 | − | 0.325666i | 0.596904 | − | 0.802313i | \(-0.296397\pi\) |
−0.879095 | + | 0.476647i | \(0.841852\pi\) | |||||||
\(684\) | −2.11977 | + | 11.0664i | −0.0810516 | + | 0.423133i | ||||
\(685\) | 5.10727 | + | 17.3938i | 0.195139 | + | 0.664582i | ||||
\(686\) | −0.725282 | − | 15.0450i | −0.0276914 | − | 0.574420i | ||||
\(687\) | 3.31813 | − | 23.0781i | 0.126595 | − | 0.880484i | ||||
\(688\) | 12.1760 | − | 15.5560i | 0.464206 | − | 0.593065i | ||||
\(689\) | − | 10.1381i | − | 0.386229i | ||||||
\(690\) | −1.38616 | − | 7.52876i | −0.0527703 | − | 0.286615i | ||||
\(691\) | 28.3148 | 1.07715 | 0.538573 | − | 0.842579i | \(-0.318963\pi\) | ||||
0.538573 | + | 0.842579i | \(0.318963\pi\) | |||||||
\(692\) | −23.4267 | − | 1.08917i | −0.890550 | − | 0.0414039i | ||||
\(693\) | 3.46229 | + | 0.497803i | 0.131522 | + | 0.0189100i | ||||
\(694\) | 1.91422 | + | 39.7079i | 0.0726630 | + | 1.50729i | ||||
\(695\) | −2.44028 | + | 0.716532i | −0.0925653 | + | 0.0271796i | ||||
\(696\) | 0.554986 | + | 1.87821i | 0.0210367 | + | 0.0711934i | ||||
\(697\) | −21.1328 | + | 18.3117i | −0.800463 | + | 0.693605i | ||||
\(698\) | 29.0300 | − | 20.6971i | 1.09880 | − | 0.783397i | ||||
\(699\) | 21.2523 | + | 6.24024i | 0.803835 | + | 0.236027i | ||||
\(700\) | 0.377528 | + | 1.54848i | 0.0142692 | + | 0.0585271i | ||||
\(701\) | 33.9601 | + | 21.8248i | 1.28265 | + | 0.824312i | 0.991213 | − | 0.132277i | \(-0.0422288\pi\) |
0.291442 | + | 0.956589i | \(0.405865\pi\) | |||||||
\(702\) | −0.959653 | + | 10.1109i | −0.0362198 | + | 0.381611i | ||||
\(703\) | 19.0801 | + | 16.5330i | 0.719619 | + | 0.623553i | ||||
\(704\) | −10.9403 | + | 17.1522i | −0.412327 | + | 0.646447i | ||||
\(705\) | −12.3441 | + | 1.77481i | −0.464905 | + | 0.0668433i | ||||
\(706\) | −6.53428 | − | 2.61161i | −0.245921 | − | 0.0982892i | ||||
\(707\) | −6.31559 | + | 2.88423i | −0.237522 | + | 0.108473i | ||||
\(708\) | −1.62124 | + | 4.70161i | −0.0609299 | + | 0.176697i | ||||
\(709\) | 0.675783 | − | 1.47976i | 0.0253796 | − | 0.0555735i | −0.896518 | − | 0.443008i | \(-0.853911\pi\) |
0.921897 | + | 0.387434i | \(0.126639\pi\) | |||||||
\(710\) | −0.616706 | + | 0.213838i | −0.0231446 | + | 0.00802520i | ||||
\(711\) | −0.526027 | + | 0.338057i | −0.0197276 | + | 0.0126781i | ||||
\(712\) | 3.21418 | + | 0.456517i | 0.120457 | + | 0.0171087i | ||||
\(713\) | 6.98097 | + | 8.20275i | 0.261439 | + | 0.307195i | ||||
\(714\) | −2.36498 | − | 4.58100i | −0.0885072 | − | 0.171440i | ||||
\(715\) | −2.88019 | + | 1.85099i | −0.107713 | + | 0.0692229i | ||||
\(716\) | 14.4751 | + | 13.7705i | 0.540959 | + | 0.514626i | ||||
\(717\) | −18.6070 | − | 8.49752i | −0.694890 | − | 0.317346i | ||||
\(718\) | −19.5485 | + | 18.6608i | −0.729545 | + | 0.696415i | ||||
\(719\) | −40.3076 | + | 18.4079i | −1.50322 | + | 0.686498i | −0.985597 | − | 0.169111i | \(-0.945910\pi\) |
−0.517623 | + | 0.855609i | \(0.673183\pi\) | |||||||
\(720\) | 3.43836 | − | 5.98692i | 0.128140 | − | 0.223119i | ||||
\(721\) | 1.29937 | + | 9.03735i | 0.0483912 | + | 0.336569i | ||||
\(722\) | 11.5884 | − | 2.24034i | 0.431276 | − | 0.0833767i | ||||
\(723\) | −0.539246 | − | 0.467259i | −0.0200548 | − | 0.0173776i | ||||
\(724\) | 26.9298 | − | 10.8167i | 1.00084 | − | 0.402001i | ||||
\(725\) | 0.331667 | − | 0.516084i | 0.0123178 | − | 0.0191669i | ||||
\(726\) | 1.70190 | − | 7.03281i | 0.0631633 | − | 0.261012i | ||||
\(727\) | 42.8867 | + | 12.5927i | 1.59058 | + | 0.467037i | 0.952905 | − | 0.303269i | \(-0.0980779\pi\) |
0.637675 | + | 0.770305i | \(0.279896\pi\) | |||||||
\(728\) | 0.00519302 | + | 3.03461i | 0.000192466 | + | 0.112470i | ||||
\(729\) | −12.7813 | − | 14.7504i | −0.473380 | − | 0.546310i | ||||
\(730\) | 15.8422 | + | 12.4439i | 0.586347 | + | 0.460568i | ||||
\(731\) | 19.2045 | − | 5.63896i | 0.710305 | − | 0.208564i | ||||
\(732\) | −8.66300 | − | 14.9653i | −0.320194 | − | 0.553133i | ||||
\(733\) | 3.49414 | − | 24.3023i | 0.129059 | − | 0.897625i | −0.817692 | − | 0.575657i | \(-0.804747\pi\) |
0.946751 | − | 0.321968i | \(-0.104344\pi\) | |||||||
\(734\) | 7.13225 | − | 12.3697i | 0.263256 | − | 0.456574i | ||||
\(735\) | −7.18417 | −0.264992 | ||||||||
\(736\) | −12.5768 | + | 24.0380i | −0.463588 | + | 0.886051i | ||||
\(737\) | 17.7901 | 0.655306 | ||||||||
\(738\) | −8.41247 | + | 14.5900i | −0.309667 | + | 0.537067i | ||||
\(739\) | 6.15368 | − | 42.7998i | 0.226367 | − | 1.57442i | −0.486859 | − | 0.873481i | \(-0.661857\pi\) |
0.713226 | − | 0.700935i | \(-0.247234\pi\) | |||||||
\(740\) | −7.75001 | − | 13.3881i | −0.284896 | − | 0.492157i | ||||
\(741\) | −4.75912 | + | 1.39740i | −0.174831 | + | 0.0513349i | ||||
\(742\) | 6.67401 | + | 5.24234i | 0.245010 | + | 0.192452i | ||||
\(743\) | 6.49855 | + | 7.49972i | 0.238409 | + | 0.275138i | 0.862328 | − | 0.506351i | \(-0.169006\pi\) |
−0.623919 | + | 0.781489i | \(0.714460\pi\) | |||||||
\(744\) | −0.0122700 | − | 7.17015i | −0.000449842 | − | 0.262871i | ||||
\(745\) | −2.75341 | − | 0.808475i | −0.100877 | − | 0.0296202i | ||||
\(746\) | −5.55270 | + | 22.9457i | −0.203299 | + | 0.840101i | ||||
\(747\) | −12.9747 | + | 20.1890i | −0.474718 | + | 0.738676i | ||||
\(748\) | −19.1274 | + | 7.68279i | −0.699367 | + | 0.280911i | ||||
\(749\) | 5.98385 | + | 5.18504i | 0.218645 | + | 0.189457i | ||||
\(750\) | 1.56722 | − | 0.302985i | 0.0572269 | − | 0.0110634i | ||||
\(751\) | 3.87950 | + | 26.9825i | 0.141565 | + | 0.984605i | 0.929494 | + | 0.368838i | \(0.120244\pi\) |
−0.787929 | + | 0.615766i | \(0.788846\pi\) | |||||||
\(752\) | 38.3248 | + | 22.0104i | 1.39756 | + | 0.802636i | ||||
\(753\) | −13.1185 | + | 5.99101i | −0.478064 | + | 0.218324i | ||||
\(754\) | 0.844879 | − | 0.806511i | 0.0307687 | − | 0.0293714i | ||||
\(755\) | 9.74777 | + | 4.45166i | 0.354758 | + | 0.162012i | ||||
\(756\) | −6.15989 | − | 5.86004i | −0.224033 | − | 0.213128i | ||||
\(757\) | −29.0336 | + | 18.6587i | −1.05524 | + | 0.678163i | −0.948711 | − | 0.316146i | \(-0.897611\pi\) |
−0.106532 | + | 0.994309i | \(0.533975\pi\) | |||||||
\(758\) | 6.86658 | + | 13.3007i | 0.249405 | + | 0.483102i | ||||
\(759\) | −2.08016 | + | 13.6076i | −0.0755051 | + | 0.493925i | ||||
\(760\) | 9.14040 | + | 1.29823i | 0.331557 | + | 0.0470918i | ||||
\(761\) | −14.0490 | + | 9.02876i | −0.509277 | + | 0.327292i | −0.769917 | − | 0.638144i | \(-0.779703\pi\) |
0.260641 | + | 0.965436i | \(0.416066\pi\) | |||||||
\(762\) | −6.63953 | + | 2.30221i | −0.240525 | + | 0.0834001i | ||||
\(763\) | −0.766658 | + | 1.67875i | −0.0277549 | + | 0.0607747i | ||||
\(764\) | 0.186411 | − | 0.540593i | 0.00674410 | − | 0.0195580i | ||||
\(765\) | 6.36301 | − | 2.90589i | 0.230055 | − | 0.105063i | ||||
\(766\) | 9.90497 | + | 3.95880i | 0.357881 | + | 0.143037i | ||||
\(767\) | 2.93582 | − | 0.422108i | 0.106006 | − | 0.0152414i | ||||
\(768\) | 16.7350 | − | 6.78844i | 0.603871 | − | 0.244957i | ||||
\(769\) | 5.26846 | + | 4.56514i | 0.189985 | + | 0.164623i | 0.744660 | − | 0.667444i | \(-0.232612\pi\) |
−0.554674 | + | 0.832067i | \(0.687157\pi\) | |||||||
\(770\) | 0.270805 | − | 2.85320i | 0.00975915 | − | 0.102822i | ||||
\(771\) | 3.56390 | + | 2.29038i | 0.128351 | + | 0.0824859i | ||||
\(772\) | −9.67108 | − | 39.6672i | −0.348070 | − | 1.42765i | ||||
\(773\) | −36.9745 | − | 10.8567i | −1.32988 | − | 0.390489i | −0.461833 | − | 0.886967i | \(-0.652808\pi\) |
−0.868049 | + | 0.496478i | \(0.834626\pi\) | |||||||
\(774\) | 9.81567 | − | 6.99815i | 0.352817 | − | 0.251543i | ||||
\(775\) | −1.69738 | + | 1.47079i | −0.0609716 | + | 0.0528322i | ||||
\(776\) | −11.2013 | − | 37.9079i | −0.402102 | − | 1.36081i | ||||
\(777\) | −6.67552 | + | 1.96011i | −0.239483 | + | 0.0703185i | ||||
\(778\) | 0.705360 | + | 14.6317i | 0.0252884 | + | 0.524572i | ||||
\(779\) | −22.2915 | − | 3.20504i | −0.798676 | − | 0.114832i | ||||
\(780\) | 3.03591 | + | 0.141147i | 0.108703 | + | 0.00505387i | ||||
\(781\) | 1.17373 | 0.0419993 | ||||||||
\(782\) | −24.5357 | + | 12.3917i | −0.877396 | + | 0.443125i | ||||
\(783\) | 3.27244i | 0.116947i | ||||||||
\(784\) | 20.0485 | + | 15.6924i | 0.716018 | + | 0.560444i | ||||
\(785\) | 3.02214 | − | 21.0194i | 0.107865 | − | 0.750216i | ||||
\(786\) | 0.361539 | + | 7.49962i | 0.0128957 | + | 0.267503i | ||||
\(787\) | 2.02379 | + | 6.89241i | 0.0721405 | + | 0.245688i | 0.987667 | − | 0.156570i | \(-0.0500437\pi\) |
−0.915526 | + | 0.402258i | \(0.868226\pi\) | |||||||
\(788\) | 2.59125 | − | 13.5277i | 0.0923095 | − | 0.481905i | ||||
\(789\) | −9.02222 | − | 10.4122i | −0.321200 | − | 0.370684i | ||||
\(790\) | 0.297421 | + | 0.417166i | 0.0105818 | + | 0.0148421i | ||||
\(791\) | 2.85181 | − | 9.71236i | 0.101399 | − | 0.345332i | ||||
\(792\) | −9.36851 | + | 8.14597i | −0.332896 | + | 0.289455i | ||||
\(793\) | −5.57545 | + | 8.67557i | −0.197990 | + | 0.308079i | ||||
\(794\) | 1.60268 | − | 16.8858i | 0.0568768 | − | 0.599253i | ||||
\(795\) | 5.56600 | − | 6.42351i | 0.197406 | − | 0.227818i | ||||
\(796\) | 20.1537 | − | 15.8863i | 0.714330 | − | 0.563076i | ||||
\(797\) | 1.28568 | + | 8.94209i | 0.0455410 | + | 0.316745i | 0.999840 | + | 0.0178911i | \(0.00569521\pi\) |
−0.954299 | + | 0.298854i | \(0.903396\pi\) | |||||||
\(798\) | 1.54099 | − | 3.85558i | 0.0545504 | − | 0.136486i | ||||
\(799\) | 18.6018 | + | 40.7322i | 0.658084 | + | 1.44100i | ||||
\(800\) | −5.03539 | − | 2.57777i | −0.178028 | − | 0.0911379i | ||||
\(801\) | 1.80207 | + | 0.822976i | 0.0636729 | + | 0.0290784i | ||||
\(802\) | −33.3089 | + | 11.5496i | −1.17618 | + | 0.407830i | ||||
\(803\) | −19.5846 | − | 30.4742i | −0.691125 | − | 1.07541i | ||||
\(804\) | −12.8743 | − | 9.14566i | −0.454043 | − | 0.322543i | ||||
\(805\) | 0.0339897 | − | 3.82174i | 0.00119798 | − | 0.134699i | ||||
\(806\) | −3.79973 | + | 1.96164i | −0.133840 | + | 0.0690959i | ||||
\(807\) | −0.699700 | − | 1.08875i | −0.0246306 | − | 0.0383260i | ||||
\(808\) | 6.90203 | − | 23.6558i | 0.242813 | − | 0.832209i | ||||
\(809\) | −8.46606 | + | 18.5381i | −0.297651 | + | 0.651764i | −0.998079 | − | 0.0619589i | \(-0.980265\pi\) |
0.700428 | + | 0.713723i | \(0.252993\pi\) | |||||||
\(810\) | −0.862235 | + | 0.823078i | −0.0302958 | + | 0.0289200i | ||||
\(811\) | 0.674048 | + | 1.47596i | 0.0236690 | + | 0.0518279i | 0.921097 | − | 0.389332i | \(-0.127294\pi\) |
−0.897428 | + | 0.441160i | \(0.854567\pi\) | |||||||
\(812\) | 0.0940535 | + | 0.973237i | 0.00330063 | + | 0.0341539i | ||||
\(813\) | −10.1175 | + | 1.45467i | −0.354835 | + | 0.0510176i | ||||
\(814\) | 5.27999 | + | 27.3113i | 0.185063 | + | 0.957262i | ||||
\(815\) | 3.85548 | − | 4.44947i | 0.135052 | − | 0.155858i | ||||
\(816\) | 17.7918 | + | 4.27328i | 0.622837 | + | 0.149595i | ||||
\(817\) | 13.5610 | + | 8.71512i | 0.474439 | + | 0.304903i | ||||
\(818\) | −6.87421 | + | 28.4066i | −0.240351 | + | 0.993214i | ||||
\(819\) | −0.521720 | + | 1.77682i | −0.0182304 | + | 0.0620869i | ||||
\(820\) | 12.2725 | + | 6.30919i | 0.428573 | + | 0.220326i | ||||
\(821\) | −34.0387 | + | 29.4947i | −1.18796 | + | 1.02937i | −0.189085 | + | 0.981961i | \(0.560552\pi\) |
−0.998875 | + | 0.0474128i | \(0.984902\pi\) | |||||||
\(822\) | −17.8746 | + | 22.7561i | −0.623447 | + | 0.793709i | ||||
\(823\) | −8.64634 | − | 29.4467i | −0.301392 | − | 1.02645i | −0.961392 | − | 0.275182i | \(-0.911262\pi\) |
0.660000 | − | 0.751266i | \(-0.270556\pi\) | |||||||
\(824\) | −27.2909 | − | 17.4729i | −0.950725 | − | 0.608698i | ||||
\(825\) | −2.84113 | − | 0.408493i | −0.0989154 | − | 0.0142219i | ||||
\(826\) | −1.24022 | + | 2.15096i | −0.0431528 | + | 0.0748415i | ||||
\(827\) | − | 44.8960i | − | 1.56119i | −0.625039 | − | 0.780594i | \(-0.714917\pi\) | ||
0.625039 | − | 0.780594i | \(-0.285083\pi\) | |||||||
\(828\) | −11.5170 | + | 11.8927i | −0.400243 | + | 0.413299i | ||||
\(829\) | − | 34.3731i | − | 1.19383i | −0.802305 | − | 0.596914i | \(-0.796393\pi\) | ||
0.802305 | − | 0.596914i | \(-0.203607\pi\) | |||||||
\(830\) | 17.0347 | + | 9.82202i | 0.591282 | + | 0.340927i | ||||
\(831\) | −18.4818 | − | 2.65728i | −0.641126 | − | 0.0921800i | ||||
\(832\) | −8.16385 | − | 7.02524i | −0.283031 | − | 0.243557i | ||||
\(833\) | 7.26749 | + | 24.7508i | 0.251803 | + | 0.857564i | ||||
\(834\) | −3.19260 | − | 2.50774i | −0.110551 | − | 0.0868359i | ||||
\(835\) | 16.2008 | − | 14.0381i | 0.560651 | − | 0.485807i | ||||
\(836\) | −14.7643 | − | 7.59024i | −0.510635 | − | 0.262514i | ||||
\(837\) | 3.37532 | − | 11.4953i | 0.116668 | − | 0.397336i | ||||
\(838\) | −13.7869 | − | 3.33635i | −0.476262 | − | 0.115252i | ||||
\(839\) | −43.1394 | − | 27.7240i | −1.48934 | − | 0.957140i | −0.996191 | − | 0.0871945i | \(-0.972210\pi\) |
−0.493148 | − | 0.869946i | \(-0.664154\pi\) | |||||||
\(840\) | −1.66277 | + | 1.92559i | −0.0573711 | + | 0.0664392i | ||||
\(841\) | −18.7445 | + | 21.6323i | −0.646362 | + | 0.745942i | ||||
\(842\) | 1.19975 | − | 0.231943i | 0.0413461 | − | 0.00799327i | ||||
\(843\) | 1.52231 | − | 0.218875i | 0.0524310 | − | 0.00753844i | ||||
\(844\) | 44.9164 | − | 4.34071i | 1.54609 | − | 0.149414i | ||||
\(845\) | 4.64744 | + | 10.1765i | 0.159877 | + | 0.350081i | ||||
\(846\) | 18.6223 | + | 19.5082i | 0.640249 | + | 0.670707i | ||||
\(847\) | 1.50067 | − | 3.28601i | 0.0515636 | − | 0.112909i | ||||
\(848\) | −29.5637 | + | 5.76792i | −1.01522 | + | 0.198071i | ||||
\(849\) | 7.68059 | + | 11.9512i | 0.263597 | + | 0.410165i | ||||
\(850\) | −2.62924 | − | 5.09287i | −0.0901821 | − | 0.174684i | ||||
\(851\) | 10.1338 | + | 35.6834i | 0.347381 | + | 1.22321i | ||||
\(852\) | −0.849405 | − | 0.603399i | −0.0291001 | − | 0.0206721i | ||||
\(853\) | −11.4750 | − | 17.8555i | −0.392898 | − | 0.611361i | 0.587303 | − | 0.809367i | \(-0.300190\pi\) |
−0.980201 | + | 0.198007i | \(0.936553\pi\) | |||||||
\(854\) | −2.82820 | − | 8.15649i | −0.0967790 | − | 0.279109i | ||||
\(855\) | 5.12466 | + | 2.34035i | 0.175260 | + | 0.0800384i | ||||
\(856\) | −27.8089 | + | 4.04689i | −0.950487 | + | 0.138320i | ||||
\(857\) | −1.90224 | − | 4.16532i | −0.0649792 | − | 0.142285i | 0.874356 | − | 0.485285i | \(-0.161284\pi\) |
−0.939335 | + | 0.343000i | \(0.888557\pi\) | |||||||
\(858\) | −5.07472 | − | 2.02825i | −0.173248 | − | 0.0692434i | ||||
\(859\) | −4.29980 | − | 29.9058i | −0.146707 | − | 1.02037i | −0.921562 | − | 0.388232i | \(-0.873086\pi\) |
0.774854 | − | 0.632140i | \(-0.217823\pi\) | |||||||
\(860\) | −6.11458 | − | 7.75710i | −0.208506 | − | 0.264515i | ||||
\(861\) | 4.06418 | − | 4.69031i | 0.138507 | − | 0.159845i | ||||
\(862\) | 4.27091 | + | 0.405364i | 0.145468 | + | 0.0138068i | ||||
\(863\) | −18.6741 | + | 29.0574i | −0.635673 | + | 0.989127i | 0.362688 | + | 0.931910i | \(0.381859\pi\) |
−0.998362 | + | 0.0572166i | \(0.981777\pi\) | |||||||
\(864\) | 30.0305 | − | 2.95402i | 1.02166 | − | 0.100498i | ||||
\(865\) | −3.30360 | + | 11.2510i | −0.112326 | + | 0.382546i | ||||
\(866\) | 25.9011 | − | 18.4664i | 0.880156 | − | 0.627513i | ||||
\(867\) | −0.424923 | − | 0.490388i | −0.0144312 | − | 0.0166544i | ||||
\(868\) | 0.673449 | − | 3.51577i | 0.0228584 | − | 0.119333i | ||||
\(869\) | −0.259553 | − | 0.883957i | −0.00880474 | − | 0.0299862i | ||||
\(870\) | 0.978110 | − | 0.0471523i | 0.0331610 | − | 0.00159861i | ||||
\(871\) | −1.34036 | + | 9.32241i | −0.0454164 | + | 0.315878i | ||||
\(872\) | −2.73122 | − | 5.95355i | −0.0924907 | − | 0.201613i | ||||
\(873\) | − | 24.1215i | − | 0.816388i | ||||||
\(874\) | −20.4829 | − | 8.39859i | −0.692845 | − | 0.284087i | ||||
\(875\) | 0.796919 | 0.0269408 | ||||||||
\(876\) | −1.49342 | + | 32.1218i | −0.0504581 | + | 1.08529i | ||||
\(877\) | −10.1999 | − | 1.46652i | −0.344426 | − | 0.0495210i | −0.0320686 | − | 0.999486i | \(-0.510210\pi\) |
−0.312357 | + | 0.949965i | \(0.601119\pi\) | |||||||
\(878\) | 9.20683 | − | 0.443839i | 0.310716 | − | 0.0149789i | ||||
\(879\) | −15.2632 | + | 4.48169i | −0.514816 | + | 0.151164i | ||||
\(880\) | 7.03633 | + | 7.34586i | 0.237195 | + | 0.247629i | ||||
\(881\) | 3.90114 | − | 3.38035i | 0.131433 | − | 0.113887i | −0.586664 | − | 0.809830i | \(-0.699559\pi\) |
0.718097 | + | 0.695943i | \(0.245014\pi\) | |||||||
\(882\) | 9.01921 | + | 12.6504i | 0.303693 | + | 0.425962i | ||||
\(883\) | 15.7371 | + | 4.62083i | 0.529595 | + | 0.155503i | 0.535589 | − | 0.844479i | \(-0.320090\pi\) |
−0.00599363 | + | 0.999982i | \(0.501908\pi\) | |||||||
\(884\) | −2.58484 | − | 10.6020i | −0.0869375 | − | 0.356585i | ||||
\(885\) | 2.09190 | + | 1.34438i | 0.0703183 | + | 0.0451908i | ||||
\(886\) | 16.2022 | + | 1.53780i | 0.544324 | + | 0.0516634i | ||||
\(887\) | 0.477362 | + | 0.413637i | 0.0160282 | + | 0.0138886i | 0.662838 | − | 0.748763i | \(-0.269352\pi\) |
−0.646810 | + | 0.762651i | \(0.723897\pi\) | |||||||
\(888\) | 10.2194 | − | 22.4791i | 0.342940 | − | 0.754348i | ||||
\(889\) | −3.47267 | + | 0.499294i | −0.116470 | + | 0.0167458i | ||||
\(890\) | 0.602430 | − | 1.50729i | 0.0201935 | − | 0.0505245i | ||||
\(891\) | 1.94977 | − | 0.890431i | 0.0653198 | − | 0.0298306i | ||||
\(892\) | 53.7562 | + | 18.5366i | 1.79989 | + | 0.620650i | ||||
\(893\) | −14.9816 | + | 32.8051i | −0.501339 | + | 1.09778i | ||||
\(894\) | −1.50066 | − | 4.32787i | −0.0501895 | − | 0.144746i | ||||
\(895\) | 8.40362 | − | 5.40068i | 0.280902 | − | 0.180525i | ||||
\(896\) | 8.84629 | − | 1.74165i | 0.295534 | − | 0.0581843i | ||||
\(897\) | −6.97397 | − | 2.11529i | −0.232854 | − | 0.0706276i | ||||
\(898\) | −44.1489 | + | 22.7922i | −1.47327 | + | 0.760586i | ||||
\(899\) | −1.15910 | + | 0.744908i | −0.0386581 | + | 0.0248441i | ||||
\(900\) | −2.50105 | − | 2.37931i | −0.0833685 | − | 0.0793103i | ||||
\(901\) | −27.7607 | − | 12.6779i | −0.924844 | − | 0.422362i | ||||
\(902\) | −17.1336 | − | 17.9487i | −0.570488 | − | 0.597627i | ||||
\(903\) | −4.04083 | + | 1.84539i | −0.134471 | + | 0.0614106i | ||||
\(904\) | 19.4750 | + | 30.1899i | 0.647728 | + | 1.00410i | ||||
\(905\) | −2.06506 | − | 14.3628i | −0.0686448 | − | 0.477435i | ||||
\(906\) | 3.24684 | + | 16.7946i | 0.107869 | + | 0.557964i | ||||
\(907\) | 34.7775 | + | 30.1349i | 1.15477 | + | 1.00061i | 0.999920 | + | 0.0126734i | \(0.00403417\pi\) |
0.154848 | + | 0.987938i | \(0.450511\pi\) | |||||||
\(908\) | −8.50619 | − | 21.1774i | −0.282288 | − | 0.702796i | ||||
\(909\) | 8.12990 | − | 12.6504i | 0.269652 | − | 0.419586i | ||||
\(910\) | 1.47474 | + | 0.356877i | 0.0488871 | + | 0.0118304i | ||||
\(911\) | 33.6970 | + | 9.89433i | 1.11643 | + | 0.327814i | 0.787362 | − | 0.616492i | \(-0.211447\pi\) |
0.329070 | + | 0.944305i | \(0.393265\pi\) | |||||||
\(912\) | 6.78262 | + | 13.0831i | 0.224595 | + | 0.433224i | ||||
\(913\) | −23.1550 | − | 26.7223i | −0.766318 | − | 0.884378i | ||||
\(914\) | 19.5890 | − | 24.9387i | 0.647947 | − | 0.824899i | ||||
\(915\) | −8.29570 | + | 2.43584i | −0.274247 | + | 0.0805263i | ||||
\(916\) | 20.6974 | + | 35.7547i | 0.683862 | + | 1.18137i | ||||
\(917\) | −0.533469 | + | 3.71036i | −0.0176167 | + | 0.122527i | ||||
\(918\) | 26.4863 | + | 15.2717i | 0.874177 | + | 0.504042i | ||||
\(919\) | −36.7256 | −1.21147 | −0.605734 | − | 0.795668i | \(-0.707120\pi\) | ||||
−0.605734 | + | 0.795668i | \(0.707120\pi\) | |||||||
\(920\) | 10.1874 | + | 8.95636i | 0.335869 | + | 0.295283i | ||||
\(921\) | 17.8218 | 0.587250 | ||||||||
\(922\) | −14.3645 | − | 8.28245i | −0.473071 | − | 0.272768i | ||||
\(923\) | −0.0884323 | + | 0.615060i | −0.00291079 | + | 0.0202450i | ||||
\(924\) | 3.95934 | − | 2.29195i | 0.130253 | − | 0.0753997i | ||||
\(925\) | −7.42142 | + | 2.17913i | −0.244015 | + | 0.0716492i | ||||
\(926\) | −31.0483 | + | 39.5275i | −1.02031 | + | 1.29896i | ||||
\(927\) | −12.9497 | − | 14.9448i | −0.425325 | − | 0.490852i | ||||
\(928\) | −2.83256 | − | 2.00491i | −0.0929833 | − | 0.0658143i | ||||
\(929\) | 30.9437 | + | 9.08588i | 1.01523 | + | 0.298098i | 0.746691 | − | 0.665171i | \(-0.231641\pi\) |
0.268538 | + | 0.963269i | \(0.413459\pi\) | |||||||
\(930\) | −3.48451 | − | 0.843228i | −0.114261 | − | 0.0276505i | ||||
\(931\) | −11.2320 | + | 17.4774i | −0.368115 | + | 0.572799i | ||||
\(932\) | −36.4193 | + | 14.6283i | −1.19295 | + | 0.479167i | ||||
\(933\) | 7.66158 | + | 6.63880i | 0.250829 | + | 0.217345i | ||||
\(934\) | −7.24969 | − | 37.4999i | −0.237217 | − | 1.22703i | ||||
\(935\) | 1.46675 | + | 10.2014i | 0.0479677 | + | 0.333623i | ||||
\(936\) | −3.56282 | − | 5.52306i | −0.116455 | − | 0.180527i | ||||
\(937\) | −39.8588 | + | 18.2029i | −1.30213 | + | 0.594663i | −0.941175 | − | 0.337921i | \(-0.890276\pi\) |
−0.360955 | + | 0.932583i | \(0.617549\pi\) | |||||||
\(938\) | −5.44396 | − | 5.70295i | −0.177752 | − | 0.186208i | ||||
\(939\) | −17.4915 | − | 7.98809i | −0.570812 | − | 0.260681i | ||||
\(940\) | 15.2309 | − | 16.0103i | 0.496779 | − | 0.522198i | ||||
\(941\) | −20.1470 | + | 12.9477i | −0.656774 | + | 0.422083i | −0.826136 | − | 0.563471i | \(-0.809466\pi\) |
0.169362 | + | 0.985554i | \(0.445829\pi\) | |||||||
\(942\) | 30.1201 | − | 15.5498i | 0.981367 | − | 0.506638i | ||||
\(943\) | −24.8136 | − | 21.8905i | −0.808043 | − | 0.712853i | ||||
\(944\) | −2.90122 | − | 8.32104i | −0.0944265 | − | 0.270827i | ||||
\(945\) | −3.57618 | + | 2.29827i | −0.116333 | + | 0.0747627i | ||||
\(946\) | 5.81870 | + | 16.7811i | 0.189182 | + | 0.545599i | ||||
\(947\) | −1.67769 | + | 3.67363i | −0.0545176 | + | 0.119377i | −0.934930 | − | 0.354831i | \(-0.884538\pi\) |
0.880413 | + | 0.474208i | \(0.157266\pi\) | |||||||
\(948\) | −0.266598 | + | 0.773136i | −0.00865869 | + | 0.0251103i | ||||
\(949\) | 17.4447 | − | 7.96674i | 0.566280 | − | 0.258611i | ||||
\(950\) | 1.71317 | − | 4.28639i | 0.0555827 | − | 0.139069i | ||||
\(951\) | −3.97399 | + | 0.571373i | −0.128865 | + | 0.0185281i | ||||
\(952\) | 8.31607 | + | 3.78063i | 0.269525 | + | 0.122531i | ||||
\(953\) | 13.4147 | + | 11.6239i | 0.434543 | + | 0.376534i | 0.844486 | − | 0.535577i | \(-0.179906\pi\) |
−0.409943 | + | 0.912111i | \(0.634451\pi\) | |||||||
\(954\) | −18.2987 | − | 1.73678i | −0.592443 | − | 0.0562304i | ||||
\(955\) | −0.240527 | − | 0.154577i | −0.00778327 | − | 0.00500201i | ||||
\(956\) | 35.2142 | − | 8.58542i | 1.13891 | − | 0.277672i | ||||
\(957\) | −1.68954 | − | 0.496094i | −0.0546151 | − | 0.0160365i | ||||
\(958\) | 6.19961 | + | 8.69563i | 0.200300 | + | 0.280943i | ||||
\(959\) | −10.9180 | + | 9.46052i | −0.352561 | + | 0.305496i | ||||
\(960\) | −1.31564 | − | 8.93335i | −0.0424622 | − | 0.288323i | ||||
\(961\) | −24.9043 | + | 7.31257i | −0.803365 | + | 0.235889i | ||||
\(962\) | −14.7096 | + | 0.709113i | −0.474256 | + | 0.0228627i | ||||
\(963\) | −16.9741 | − | 2.44051i | −0.546984 | − | 0.0786445i | ||||
\(964\) | 1.26295 | + | 0.0587178i | 0.0406769 | + | 0.00189117i | ||||
\(965\) | −20.4145 | −0.657167 | ||||||||
\(966\) | 4.99873 | − | 3.49725i | 0.160832 | − | 0.112522i | ||||
\(967\) | 20.6583i | 0.664325i | 0.943222 | + | 0.332163i | \(0.107778\pi\) | ||||
−0.943222 | + | 0.332163i | \(0.892222\pi\) | |||||||
\(968\) | 5.34613 | + | 11.6536i | 0.171831 | + | 0.374560i | ||||
\(969\) | −2.12493 | + | 14.7792i | −0.0682627 | + | 0.474777i | ||||
\(970\) | −19.7411 | + | 0.951673i | −0.633850 | + | 0.0305564i | ||||
\(971\) | 4.21555 | + | 14.3568i | 0.135283 | + | 0.460733i | 0.999070 | − | 0.0431256i | \(-0.0137316\pi\) |
−0.863786 | + | 0.503858i | \(0.831913\pi\) | |||||||
\(972\) | 29.5656 | + | 5.66332i | 0.948316 | + | 0.181651i | ||||
\(973\) | −1.32728 | − | 1.53176i | −0.0425506 | − | 0.0491060i | ||||
\(974\) | 4.11330 | − | 2.93260i | 0.131799 | − | 0.0939667i | ||||
\(975\) | 0.428119 | − | 1.45804i | 0.0137108 | − | 0.0466946i | ||||
\(976\) | 28.4710 | + | 11.3228i | 0.911335 | + | 0.362433i | ||||
\(977\) | −1.00211 | + | 1.55931i | −0.0320602 | + | 0.0498866i | −0.856914 | − | 0.515460i | \(-0.827621\pi\) |
0.824854 | + | 0.565346i | \(0.191258\pi\) | |||||||
\(978\) | 9.35581 | + | 0.887986i | 0.299166 | + | 0.0283947i | ||||
\(979\) | −1.91145 | + | 2.20593i | −0.0610901 | + | 0.0705017i | ||||
\(980\) | 9.99735 | − | 7.88048i | 0.319354 | − | 0.251733i | ||||
\(981\) | −0.568850 | − | 3.95644i | −0.0181620 | − | 0.126319i | ||||
\(982\) | 54.6004 | + | 21.8226i | 1.74237 | + | 0.696386i | ||||
\(983\) | 2.83224 | + | 6.20174i | 0.0903345 | + | 0.197805i | 0.949407 | − | 0.314050i | \(-0.101686\pi\) |
−0.859072 | + | 0.511855i | \(0.828959\pi\) | |||||||
\(984\) | 3.17207 | + | 21.7973i | 0.101122 | + | 0.694874i | ||||
\(985\) | −6.26448 | − | 2.86089i | −0.199603 | − | 0.0911556i | ||||
\(986\) | −1.15190 | − | 3.32207i | −0.0366840 | − | 0.105796i | ||||
\(987\) | −5.37310 | − | 8.36071i | −0.171028 | − | 0.266124i | ||||
\(988\) | 5.08985 | − | 7.16498i | 0.161930 | − | 0.227948i | ||||
\(989\) | 9.64706 | + | 21.6312i | 0.306759 | + | 0.687832i | ||||
\(990\) | 2.84753 | + | 5.51571i | 0.0905004 | + | 0.175301i | ||||
\(991\) | −14.2647 | − | 22.1963i | −0.453133 | − | 0.705089i | 0.537253 | − | 0.843421i | \(-0.319462\pi\) |
−0.990386 | + | 0.138332i | \(0.955826\pi\) | |||||||
\(992\) | 7.88218 | + | 9.96438i | 0.250259 | + | 0.316369i | ||||
\(993\) | −9.51754 | + | 20.8405i | −0.302030 | + | 0.661353i | ||||
\(994\) | −0.359174 | − | 0.376261i | −0.0113923 | − | 0.0119343i | ||||
\(995\) | −5.33023 | − | 11.6716i | −0.168980 | − | 0.370014i | ||||
\(996\) | 3.01923 | + | 31.2421i | 0.0956679 | + | 0.989943i | ||||
\(997\) | 49.7693 | − | 7.15574i | 1.57621 | − | 0.226625i | 0.702001 | − | 0.712176i | \(-0.252290\pi\) |
0.874208 | + | 0.485552i | \(0.161381\pi\) | |||||||
\(998\) | 19.3583 | − | 3.74247i | 0.612777 | − | 0.118466i | ||||
\(999\) | 27.0192 | − | 31.1818i | 0.854849 | − | 0.986548i |
(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 | 920.2.bb.a.11.16 | ✓ | 480 | |
8.3 | odd | 2 | 920.2.bb.b.11.2 | yes | 480 | ||
23.21 | odd | 22 | 920.2.bb.b.251.2 | yes | 480 | ||
184.67 | even | 22 | inner | 920.2.bb.a.251.16 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
920.2.bb.a.11.16 | ✓ | 480 | 1.1 | even | 1 | trivial | |
920.2.bb.a.251.16 | yes | 480 | 184.67 | even | 22 | inner | |
920.2.bb.b.11.2 | yes | 480 | 8.3 | odd | 2 | ||
920.2.bb.b.251.2 | yes | 480 | 23.21 | odd | 22 |