Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,2,Mod(2,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.p (of order \(30\), 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: | \(0.790518980011\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 29.8 | ||
Character | \(\chi\) | \(=\) | 99.29 |
Dual form | 99.2.p.a.41.8 |
$q$-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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.05233 | − | 0.468527i | 0.744109 | − | 0.331299i | 0.000577647 | − | 1.00000i | \(-0.499816\pi\) |
0.743531 | + | 0.668701i | \(0.233149\pi\) | |||||||
\(3\) | 1.16424 | − | 1.28240i | 0.672173 | − | 0.740394i | ||||
\(4\) | −0.450383 | + | 0.500201i | −0.225191 | + | 0.250100i | ||||
\(5\) | −0.381354 | + | 0.856535i | −0.170547 | + | 0.383054i | −0.978516 | − | 0.206170i | \(-0.933900\pi\) |
0.807969 | + | 0.589224i | \(0.200567\pi\) | |||||||
\(6\) | 0.624322 | − | 1.89498i | 0.254878 | − | 0.773624i | ||||
\(7\) | 0.180225 | − | 0.847891i | 0.0681186 | − | 0.320473i | −0.930874 | − | 0.365339i | \(-0.880953\pi\) |
0.998993 | + | 0.0448666i | \(0.0142863\pi\) | |||||||
\(8\) | −0.951517 | + | 2.92847i | −0.336412 | + | 1.03537i | ||||
\(9\) | −0.289100 | − | 2.98604i | −0.0963668 | − | 0.995346i | ||||
\(10\) | 1.08003i | 0.341536i | ||||||||
\(11\) | −3.31573 | − | 0.0768679i | −0.999731 | − | 0.0231765i | ||||
\(12\) | 0.117105 | + | 1.15992i | 0.0338053 | + | 0.334841i | ||||
\(13\) | −1.17279 | − | 0.123265i | −0.325272 | − | 0.0341875i | −0.0595147 | − | 0.998227i | \(-0.518955\pi\) |
−0.265757 | + | 0.964040i | \(0.585622\pi\) | |||||||
\(14\) | −0.207604 | − | 0.976701i | −0.0554845 | − | 0.261034i | ||||
\(15\) | 0.654434 | + | 1.48626i | 0.168974 | + | 0.383751i | ||||
\(16\) | 0.230044 | + | 2.18873i | 0.0575111 | + | 0.547181i | ||||
\(17\) | −2.52191 | + | 1.83228i | −0.611653 | + | 0.444392i | −0.849996 | − | 0.526789i | \(-0.823396\pi\) |
0.238343 | + | 0.971181i | \(0.423396\pi\) | |||||||
\(18\) | −1.70327 | − | 3.00684i | −0.401464 | − | 0.708720i | ||||
\(19\) | 6.59786 | + | 2.14377i | 1.51365 | + | 0.491816i | 0.943965 | − | 0.330046i | \(-0.107064\pi\) |
0.569688 | + | 0.821861i | \(0.307064\pi\) | |||||||
\(20\) | −0.256684 | − | 0.576522i | −0.0573964 | − | 0.128914i | ||||
\(21\) | −0.877511 | − | 1.21827i | −0.191489 | − | 0.265848i | ||||
\(22\) | −3.52526 | + | 1.47262i | −0.751587 | + | 0.313964i | ||||
\(23\) | 2.04949 | − | 1.18327i | 0.427348 | − | 0.246730i | −0.270868 | − | 0.962616i | \(-0.587311\pi\) |
0.698216 | + | 0.715887i | \(0.253977\pi\) | |||||||
\(24\) | 2.64768 | + | 4.62966i | 0.540455 | + | 0.945025i | ||||
\(25\) | 2.75743 | + | 3.06244i | 0.551486 | + | 0.612487i | ||||
\(26\) | −1.29191 | + | 0.419767i | −0.253364 | + | 0.0823230i | ||||
\(27\) | −4.16588 | − | 3.10572i | −0.801723 | − | 0.597695i | ||||
\(28\) | 0.342946 | + | 0.472024i | 0.0648106 | + | 0.0892042i | ||||
\(29\) | −3.54123 | − | 0.752711i | −0.657589 | − | 0.139775i | −0.132981 | − | 0.991119i | \(-0.542455\pi\) |
−0.524608 | + | 0.851344i | \(0.675788\pi\) | |||||||
\(30\) | 1.38503 | + | 1.25741i | 0.252871 | + | 0.229571i | ||||
\(31\) | 0.663674 | − | 6.31443i | 0.119199 | − | 1.13411i | −0.757422 | − | 0.652925i | \(-0.773542\pi\) |
0.876622 | − | 0.481180i | \(-0.159792\pi\) | |||||||
\(32\) | −1.81162 | − | 3.13781i | −0.320251 | − | 0.554692i | ||||
\(33\) | −3.95888 | + | 4.16261i | −0.689152 | + | 0.724617i | ||||
\(34\) | −1.79541 | + | 3.10974i | −0.307910 | + | 0.533316i | ||||
\(35\) | 0.657520 | + | 0.477716i | 0.111141 | + | 0.0807487i | ||||
\(36\) | 1.62382 | + | 1.20025i | 0.270637 | + | 0.200042i | ||||
\(37\) | −2.46847 | − | 7.59716i | −0.405813 | − | 1.24897i | −0.920214 | − | 0.391415i | \(-0.871986\pi\) |
0.514401 | − | 0.857550i | \(-0.328014\pi\) | |||||||
\(38\) | 7.94753 | − | 0.835319i | 1.28926 | − | 0.135507i | ||||
\(39\) | −1.52348 | + | 1.36047i | −0.243951 | + | 0.217850i | ||||
\(40\) | −2.14547 | − | 1.93179i | −0.339229 | − | 0.305443i | ||||
\(41\) | −3.52457 | + | 0.749170i | −0.550445 | + | 0.117001i | −0.474734 | − | 0.880129i | \(-0.657456\pi\) |
−0.0757105 | + | 0.997130i | \(0.524122\pi\) | |||||||
\(42\) | −1.49422 | − | 0.870880i | −0.230563 | − | 0.134380i | ||||
\(43\) | 3.31791 | + | 1.91560i | 0.505976 | + | 0.292126i | 0.731178 | − | 0.682187i | \(-0.238971\pi\) |
−0.225202 | + | 0.974312i | \(0.572304\pi\) | |||||||
\(44\) | 1.53180 | − | 1.62391i | 0.230927 | − | 0.244814i | ||||
\(45\) | 2.66790 | + | 0.891113i | 0.397707 | + | 0.132839i | ||||
\(46\) | 1.60234 | − | 2.20543i | 0.236252 | − | 0.325174i | ||||
\(47\) | −0.119028 | + | 0.107173i | −0.0173620 | + | 0.0156328i | −0.677766 | − | 0.735278i | \(-0.737052\pi\) |
0.660404 | + | 0.750911i | \(0.270385\pi\) | |||||||
\(48\) | 3.07465 | + | 2.25319i | 0.443787 | + | 0.325220i | ||||
\(49\) | 5.70838 | + | 2.54153i | 0.815483 | + | 0.363076i | ||||
\(50\) | 4.33656 | + | 1.93076i | 0.613282 | + | 0.273051i | ||||
\(51\) | −0.586394 | + | 5.36731i | −0.0821116 | + | 0.751573i | ||||
\(52\) | 0.589859 | − | 0.531112i | 0.0817988 | − | 0.0736519i | ||||
\(53\) | 5.71174 | − | 7.86153i | 0.784567 | − | 1.07986i | −0.210196 | − | 0.977659i | \(-0.567410\pi\) |
0.994763 | − | 0.102205i | \(-0.0325898\pi\) | |||||||
\(54\) | −5.83898 | − | 1.31641i | −0.794585 | − | 0.179140i | ||||
\(55\) | 1.33031 | − | 2.81073i | 0.179379 | − | 0.378999i | ||||
\(56\) | 2.31154 | + | 1.33457i | 0.308892 | + | 0.178339i | ||||
\(57\) | 10.4307 | − | 5.96523i | 1.38157 | − | 0.790114i | ||||
\(58\) | −4.07920 | + | 0.867060i | −0.535625 | + | 0.113851i | ||||
\(59\) | 6.46239 | + | 5.81876i | 0.841331 | + | 0.757538i | 0.972272 | − | 0.233852i | \(-0.0751331\pi\) |
−0.130941 | + | 0.991390i | \(0.541800\pi\) | |||||||
\(60\) | −1.03817 | − | 0.342037i | −0.134028 | − | 0.0441568i | ||||
\(61\) | −13.4948 | + | 1.41836i | −1.72784 | + | 0.181603i | −0.915700 | − | 0.401864i | \(-0.868363\pi\) |
−0.812137 | + | 0.583467i | \(0.801696\pi\) | |||||||
\(62\) | −2.26008 | − | 6.95581i | −0.287030 | − | 0.883389i | ||||
\(63\) | −2.58394 | − | 0.293032i | −0.325546 | − | 0.0369186i | ||||
\(64\) | −6.93750 | − | 5.04039i | −0.867188 | − | 0.630049i | ||||
\(65\) | 0.552827 | − | 0.957525i | 0.0685698 | − | 0.118766i | ||||
\(66\) | −2.21575 | + | 6.23527i | −0.272740 | + | 0.767509i | ||||
\(67\) | −3.32149 | − | 5.75299i | −0.405785 | − | 0.702840i | 0.588628 | − | 0.808404i | \(-0.299668\pi\) |
−0.994412 | + | 0.105565i | \(0.966335\pi\) | |||||||
\(68\) | 0.219320 | − | 2.08669i | 0.0265964 | − | 0.253048i | ||||
\(69\) | 0.868663 | − | 4.00588i | 0.104575 | − | 0.482251i | ||||
\(70\) | 0.915750 | + | 0.194649i | 0.109453 | + | 0.0232650i | ||||
\(71\) | 6.53958 | + | 9.00097i | 0.776106 | + | 1.06822i | 0.995701 | + | 0.0926270i | \(0.0295264\pi\) |
−0.219595 | + | 0.975591i | \(0.570474\pi\) | |||||||
\(72\) | 9.01960 | + | 1.99464i | 1.06297 | + | 0.235071i | ||||
\(73\) | 3.29787 | − | 1.07154i | 0.385987 | − | 0.125415i | −0.109594 | − | 0.993976i | \(-0.534955\pi\) |
0.495581 | + | 0.868562i | \(0.334955\pi\) | |||||||
\(74\) | −6.15711 | − | 6.83817i | −0.715750 | − | 0.794921i | ||||
\(75\) | 7.13758 | + | 0.0292754i | 0.824176 | + | 0.00338044i | ||||
\(76\) | −4.04388 | + | 2.33473i | −0.463865 | + | 0.267812i | ||||
\(77\) | −0.662753 | + | 2.79753i | −0.0755278 | + | 0.318808i | ||||
\(78\) | −0.965780 | + | 2.14545i | −0.109353 | + | 0.242925i | ||||
\(79\) | 3.06997 | + | 6.89526i | 0.345398 | + | 0.775777i | 0.999807 | + | 0.0196365i | \(0.00625088\pi\) |
−0.654409 | + | 0.756141i | \(0.727082\pi\) | |||||||
\(80\) | −1.96245 | − | 0.637639i | −0.219409 | − | 0.0712902i | ||||
\(81\) | −8.83284 | + | 1.72653i | −0.981427 | + | 0.191837i | ||||
\(82\) | −3.35800 | + | 2.43973i | −0.370829 | + | 0.269423i | ||||
\(83\) | 1.50825 | + | 14.3500i | 0.165552 | + | 1.57512i | 0.690083 | + | 0.723730i | \(0.257574\pi\) |
−0.524532 | + | 0.851391i | \(0.675760\pi\) | |||||||
\(84\) | 1.00459 | + | 0.109755i | 0.109610 | + | 0.0119752i | ||||
\(85\) | −0.607668 | − | 2.85885i | −0.0659109 | − | 0.310086i | ||||
\(86\) | 4.38904 | + | 0.461307i | 0.473282 | + | 0.0497440i | ||||
\(87\) | −5.08810 | + | 3.66493i | −0.545502 | + | 0.392922i | ||||
\(88\) | 3.38008 | − | 9.63688i | 0.360318 | − | 1.02730i | ||||
\(89\) | − | 9.28531i | − | 0.984241i | −0.870527 | − | 0.492120i | \(-0.836222\pi\) | ||
0.870527 | − | 0.492120i | \(-0.163778\pi\) | |||||||
\(90\) | 3.22502 | − | 0.312238i | 0.339946 | − | 0.0329127i | ||||
\(91\) | −0.315880 | + | 0.972179i | −0.0331132 | + | 0.101912i | ||||
\(92\) | −0.331181 | + | 1.55808i | −0.0345280 | + | 0.162441i | ||||
\(93\) | −7.32496 | − | 8.20260i | −0.759563 | − | 0.850570i | ||||
\(94\) | −0.0750429 | + | 0.168549i | −0.00774009 | + | 0.0173845i | ||||
\(95\) | −4.35234 | + | 4.83376i | −0.446541 | + | 0.495934i | ||||
\(96\) | −6.13308 | − | 1.32994i | −0.625955 | − | 0.135737i | ||||
\(97\) | −11.1296 | + | 4.95523i | −1.13004 | + | 0.503128i | −0.884631 | − | 0.466291i | \(-0.845590\pi\) |
−0.245412 | + | 0.969419i | \(0.578923\pi\) | |||||||
\(98\) | 7.19787 | 0.727095 | ||||||||
\(99\) | 0.729050 | + | 9.92313i | 0.0732723 | + | 0.997312i | ||||
\(100\) | −2.77373 | −0.277373 | ||||||||
\(101\) | −5.53447 | + | 2.46410i | −0.550700 | + | 0.245188i | −0.663172 | − | 0.748467i | \(-0.730790\pi\) |
0.112471 | + | 0.993655i | \(0.464123\pi\) | |||||||
\(102\) | 1.89765 | + | 5.92291i | 0.187895 | + | 0.586456i | ||||
\(103\) | −2.66888 | + | 2.96410i | −0.262973 | + | 0.292061i | −0.860142 | − | 0.510054i | \(-0.829625\pi\) |
0.597169 | + | 0.802115i | \(0.296292\pi\) | |||||||
\(104\) | 1.47690 | − | 3.31718i | 0.144822 | − | 0.325276i | ||||
\(105\) | 1.37813 | − | 0.287028i | 0.134492 | − | 0.0280111i | ||||
\(106\) | 2.32729 | − | 10.9490i | 0.226046 | − | 1.06346i | ||||
\(107\) | −1.90097 | + | 5.85057i | −0.183773 | + | 0.565596i | −0.999925 | − | 0.0122414i | \(-0.996103\pi\) |
0.816152 | + | 0.577838i | \(0.196103\pi\) | |||||||
\(108\) | 3.42972 | − | 0.685014i | 0.330025 | − | 0.0659155i | ||||
\(109\) | 16.9364i | 1.62221i | 0.584897 | + | 0.811107i | \(0.301135\pi\) | ||||
−0.584897 | + | 0.811107i | \(0.698865\pi\) | |||||||
\(110\) | 0.0830198 | − | 3.58110i | 0.00791563 | − | 0.341444i | ||||
\(111\) | −12.6165 | − | 5.67934i | −1.19750 | − | 0.539059i | ||||
\(112\) | 1.89726 | + | 0.199410i | 0.179274 | + | 0.0188425i | ||||
\(113\) | −1.66454 | − | 7.83103i | −0.156586 | − | 0.736681i | −0.984438 | − | 0.175734i | \(-0.943770\pi\) |
0.827851 | − | 0.560948i | \(-0.189563\pi\) | |||||||
\(114\) | 8.18160 | − | 11.1644i | 0.766277 | − | 1.04564i | ||||
\(115\) | 0.231934 | + | 2.20671i | 0.0216280 | + | 0.205776i | ||||
\(116\) | 1.97141 | − | 1.43232i | 0.183041 | − | 0.132987i | ||||
\(117\) | −0.0290202 | + | 3.53762i | −0.00268292 | + | 0.327053i | ||||
\(118\) | 9.52681 | + | 3.09545i | 0.877014 | + | 0.284959i | ||||
\(119\) | 1.09906 | + | 2.46853i | 0.100751 | + | 0.226290i | ||||
\(120\) | −4.97517 | + | 0.502289i | −0.454169 | + | 0.0458525i | ||||
\(121\) | 10.9882 | + | 0.509747i | 0.998926 | + | 0.0463406i | ||||
\(122\) | −13.5365 | + | 7.81528i | −1.22553 | + | 0.707562i | ||||
\(123\) | −3.14270 | + | 5.39212i | −0.283368 | + | 0.486191i | ||||
\(124\) | 2.85958 | + | 3.17588i | 0.256798 | + | 0.285203i | ||||
\(125\) | −8.13317 | + | 2.64263i | −0.727453 | + | 0.236364i | ||||
\(126\) | −2.85645 | + | 0.902278i | −0.254472 | + | 0.0803814i | ||||
\(127\) | −3.73492 | − | 5.14068i | −0.331421 | − | 0.456161i | 0.610490 | − | 0.792024i | \(-0.290972\pi\) |
−0.941911 | + | 0.335862i | \(0.890972\pi\) | |||||||
\(128\) | −2.57399 | − | 0.547118i | −0.227510 | − | 0.0483588i | ||||
\(129\) | 6.31940 | − | 2.02468i | 0.556392 | − | 0.178263i | ||||
\(130\) | 0.133130 | − | 1.26665i | 0.0116763 | − | 0.111092i | ||||
\(131\) | −8.68698 | − | 15.0463i | −0.758985 | − | 1.31460i | −0.943369 | − | 0.331746i | \(-0.892362\pi\) |
0.184384 | − | 0.982854i | \(-0.440971\pi\) | |||||||
\(132\) | −0.299128 | − | 3.85500i | −0.0260357 | − | 0.335535i | ||||
\(133\) | 3.00679 | − | 5.20791i | 0.260721 | − | 0.451583i | ||||
\(134\) | −6.19073 | − | 4.49783i | −0.534798 | − | 0.388553i | ||||
\(135\) | 4.24883 | − | 2.38384i | 0.365681 | − | 0.205169i | ||||
\(136\) | −2.96612 | − | 9.12878i | −0.254343 | − | 0.782787i | ||||
\(137\) | 17.6037 | − | 1.85022i | 1.50399 | − | 0.158075i | 0.683588 | − | 0.729868i | \(-0.260419\pi\) |
0.820398 | + | 0.571793i | \(0.193752\pi\) | |||||||
\(138\) | −0.962742 | − | 4.62249i | −0.0819541 | − | 0.393493i | ||||
\(139\) | 4.59184 | + | 4.13451i | 0.389475 | + | 0.350684i | 0.840486 | − | 0.541834i | \(-0.182270\pi\) |
−0.451011 | + | 0.892518i | \(0.648936\pi\) | |||||||
\(140\) | −0.535089 | + | 0.113737i | −0.0452233 | + | 0.00961251i | ||||
\(141\) | −0.00113785 | + | 0.277416i | −9.58242e−5 | + | 0.0233627i | ||||
\(142\) | 11.0990 | + | 6.40800i | 0.931407 | + | 0.537748i | ||||
\(143\) | 3.87917 | + | 0.498862i | 0.324392 | + | 0.0417170i | ||||
\(144\) | 6.46911 | − | 1.31968i | 0.539093 | − | 0.109974i | ||||
\(145\) | 1.99518 | − | 2.74614i | 0.165691 | − | 0.228054i | ||||
\(146\) | 2.96840 | − | 2.67276i | 0.245666 | − | 0.221199i | ||||
\(147\) | 9.90518 | − | 4.36148i | 0.816965 | − | 0.359729i | ||||
\(148\) | 4.91186 | + | 2.18690i | 0.403752 | + | 0.179762i | ||||
\(149\) | −6.74352 | − | 3.00241i | −0.552451 | − | 0.245967i | 0.111472 | − | 0.993768i | \(-0.464443\pi\) |
−0.663924 | + | 0.747800i | \(0.731110\pi\) | |||||||
\(150\) | 7.52479 | − | 3.31334i | 0.614397 | − | 0.270533i | ||||
\(151\) | 10.0206 | − | 9.02260i | 0.815466 | − | 0.734249i | −0.151691 | − | 0.988428i | \(-0.548472\pi\) |
0.967157 | + | 0.254179i | \(0.0818053\pi\) | |||||||
\(152\) | −12.5560 | + | 17.2818i | −1.01842 | + | 1.40174i | ||||
\(153\) | 6.20033 | + | 7.00081i | 0.501267 | + | 0.565982i | ||||
\(154\) | 0.613283 | + | 3.25444i | 0.0494198 | + | 0.262250i | ||||
\(155\) | 5.15544 | + | 2.97650i | 0.414095 | + | 0.239078i | ||||
\(156\) | 0.00563877 | − | 1.37478i | 0.000451463 | − | 0.110070i | ||||
\(157\) | 2.86818 | − | 0.609650i | 0.228905 | − | 0.0486554i | −0.0920308 | − | 0.995756i | \(-0.529336\pi\) |
0.320936 | + | 0.947101i | \(0.396002\pi\) | |||||||
\(158\) | 6.46123 | + | 5.81772i | 0.514028 | + | 0.462833i | ||||
\(159\) | −3.43181 | − | 16.4774i | −0.272160 | − | 1.30674i | ||||
\(160\) | 3.37851 | − | 0.355096i | 0.267095 | − | 0.0280728i | ||||
\(161\) | −0.633918 | − | 1.95100i | −0.0499598 | − | 0.153760i | ||||
\(162\) | −8.48613 | + | 5.95530i | −0.666733 | + | 0.467893i | ||||
\(163\) | 17.8134 | + | 12.9422i | 1.39525 | + | 1.01371i | 0.995266 | + | 0.0971873i | \(0.0309846\pi\) |
0.399985 | + | 0.916522i | \(0.369015\pi\) | |||||||
\(164\) | 1.21267 | − | 2.10040i | 0.0946935 | − | 0.164014i | ||||
\(165\) | −2.05568 | − | 4.97835i | −0.160035 | − | 0.387564i | ||||
\(166\) | 8.31055 | + | 14.3943i | 0.645024 | + | 1.11721i | ||||
\(167\) | −0.0673926 | + | 0.641198i | −0.00521500 | + | 0.0496174i | −0.996820 | − | 0.0796872i | \(-0.974608\pi\) |
0.991605 | + | 0.129305i | \(0.0412745\pi\) | |||||||
\(168\) | 4.40263 | − | 1.41056i | 0.339670 | − | 0.108827i | ||||
\(169\) | −11.3557 | − | 2.41373i | −0.873514 | − | 0.185671i | ||||
\(170\) | −1.97892 | − | 2.72374i | −0.151776 | − | 0.208902i | ||||
\(171\) | 4.49395 | − | 20.3212i | 0.343661 | − | 1.55400i | ||||
\(172\) | −2.45251 | + | 0.796869i | −0.187002 | + | 0.0607607i | ||||
\(173\) | −9.02905 | − | 10.0278i | −0.686466 | − | 0.762397i | 0.294695 | − | 0.955591i | \(-0.404782\pi\) |
−0.981161 | + | 0.193194i | \(0.938115\pi\) | |||||||
\(174\) | −3.63724 | + | 6.24063i | −0.275738 | + | 0.473101i | ||||
\(175\) | 3.09357 | − | 1.78607i | 0.233852 | − | 0.135015i | ||||
\(176\) | −0.594523 | − | 7.27491i | −0.0448139 | − | 0.548367i | ||||
\(177\) | 14.9857 | − | 1.51295i | 1.12640 | − | 0.113720i | ||||
\(178\) | −4.35042 | − | 9.77120i | −0.326078 | − | 0.732382i | ||||
\(179\) | −1.06341 | − | 0.345524i | −0.0794832 | − | 0.0258256i | 0.269005 | − | 0.963139i | \(-0.413305\pi\) |
−0.348489 | + | 0.937313i | \(0.613305\pi\) | |||||||
\(180\) | −1.64731 | + | 0.933142i | −0.122783 | + | 0.0695523i | ||||
\(181\) | −18.7897 | + | 13.6515i | −1.39663 | + | 1.01471i | −0.401530 | + | 0.915846i | \(0.631521\pi\) |
−0.995101 | + | 0.0988656i | \(0.968479\pi\) | |||||||
\(182\) | 0.123082 | + | 1.17105i | 0.00912347 | + | 0.0868040i | ||||
\(183\) | −13.8923 | + | 18.9571i | −1.02695 | + | 1.40135i | ||||
\(184\) | 1.51505 | + | 7.12777i | 0.111691 | + | 0.525466i | ||||
\(185\) | 7.44860 | + | 0.782879i | 0.547632 | + | 0.0575584i | ||||
\(186\) | −11.5514 | − | 5.19989i | −0.846990 | − | 0.381274i | ||||
\(187\) | 8.50283 | − | 5.88149i | 0.621789 | − | 0.430097i | ||||
\(188\) | − | 0.107807i | − | 0.00786262i | ||||||
\(189\) | −3.38410 | + | 2.97248i | −0.246157 | + | 0.216216i | ||||
\(190\) | −2.31534 | + | 7.12590i | −0.167973 | + | 0.516967i | ||||
\(191\) | 0.621930 | − | 2.92595i | 0.0450013 | − | 0.211714i | −0.949902 | − | 0.312548i | \(-0.898818\pi\) |
0.994903 | + | 0.100833i | \(0.0321509\pi\) | |||||||
\(192\) | −14.5407 | + | 3.02844i | −1.04938 | + | 0.218559i | ||||
\(193\) | 4.02264 | − | 9.03499i | 0.289556 | − | 0.650353i | −0.708935 | − | 0.705274i | \(-0.750824\pi\) |
0.998491 | + | 0.0549209i | \(0.0174907\pi\) | |||||||
\(194\) | −9.39038 | + | 10.4291i | −0.674190 | + | 0.748764i | ||||
\(195\) | −0.584308 | − | 1.82373i | −0.0418431 | − | 0.130600i | ||||
\(196\) | −3.84223 | + | 1.71067i | −0.274445 | + | 0.122191i | ||||
\(197\) | 4.94568 | 0.352365 | 0.176183 | − | 0.984357i | \(-0.443625\pi\) | ||||
0.176183 | + | 0.984357i | \(0.443625\pi\) | |||||||
\(198\) | 5.41645 | + | 10.1008i | 0.384931 | + | 0.717834i | ||||
\(199\) | −7.64868 | −0.542200 | −0.271100 | − | 0.962551i | \(-0.587387\pi\) | ||||
−0.271100 | + | 0.962551i | \(0.587387\pi\) | |||||||
\(200\) | −11.5920 | + | 5.16109i | −0.819678 | + | 0.364944i | ||||
\(201\) | −11.2446 | − | 2.43837i | −0.793136 | − | 0.171989i | ||||
\(202\) | −4.66958 | + | 5.18610i | −0.328551 | + | 0.364893i | ||||
\(203\) | −1.27643 | + | 2.86692i | −0.0895881 | + | 0.201218i | ||||
\(204\) | −2.42063 | − | 2.71066i | −0.169478 | − | 0.189784i | ||||
\(205\) | 0.702418 | − | 3.30461i | 0.0490590 | − | 0.230804i | ||||
\(206\) | −1.41978 | + | 4.36965i | −0.0989211 | + | 0.304448i | ||||
\(207\) | −4.12581 | − | 5.77777i | −0.286763 | − | 0.401583i | ||||
\(208\) | − | 2.59526i | − | 0.179949i | ||||||
\(209\) | −21.7120 | − | 7.61535i | −1.50185 | − | 0.526765i | ||||
\(210\) | 1.31577 | − | 0.947740i | 0.0907966 | − | 0.0654003i | ||||
\(211\) | −23.3763 | − | 2.45695i | −1.60929 | − | 0.169143i | −0.743214 | − | 0.669053i | \(-0.766700\pi\) |
−0.866077 | + | 0.499910i | \(0.833366\pi\) | |||||||
\(212\) | 1.35988 | + | 6.39771i | 0.0933966 | + | 0.439397i | ||||
\(213\) | 19.1565 | + | 2.09290i | 1.31258 | + | 0.143403i | ||||
\(214\) | 0.740710 | + | 7.04738i | 0.0506339 | + | 0.481749i | ||||
\(215\) | −2.90607 | + | 2.11139i | −0.198193 | + | 0.143995i | ||||
\(216\) | 13.0589 | − | 9.24450i | 0.888545 | − | 0.629009i | ||||
\(217\) | −5.23434 | − | 1.70074i | −0.355330 | − | 0.115454i | ||||
\(218\) | 7.93517 | + | 17.8227i | 0.537437 | + | 1.20710i | ||||
\(219\) | 2.46536 | − | 5.47672i | 0.166594 | − | 0.370083i | ||||
\(220\) | 0.806781 | + | 1.93133i | 0.0543932 | + | 0.130210i | ||||
\(221\) | 3.18352 | − | 1.83800i | 0.214146 | − | 0.123638i | ||||
\(222\) | −15.9376 | − | 0.0653696i | −1.06966 | − | 0.00438732i | ||||
\(223\) | −13.9842 | − | 15.5310i | −0.936449 | − | 1.04003i | −0.999118 | − | 0.0419974i | \(-0.986628\pi\) |
0.0626689 | − | 0.998034i | \(-0.480039\pi\) | |||||||
\(224\) | −2.98702 | + | 0.970542i | −0.199579 | + | 0.0648470i | ||||
\(225\) | 8.34738 | − | 9.11914i | 0.556492 | − | 0.607943i | ||||
\(226\) | −5.42069 | − | 7.46094i | −0.360579 | − | 0.496294i | ||||
\(227\) | 11.6179 | + | 2.46947i | 0.771109 | + | 0.163904i | 0.576633 | − | 0.817003i | \(-0.304366\pi\) |
0.194475 | + | 0.980907i | \(0.437700\pi\) | |||||||
\(228\) | −1.71397 | + | 7.90406i | −0.113511 | + | 0.523459i | ||||
\(229\) | −1.02448 | + | 9.74727i | −0.0676995 | + | 0.644118i | 0.907082 | + | 0.420955i | \(0.138305\pi\) |
−0.974781 | + | 0.223163i | \(0.928362\pi\) | |||||||
\(230\) | 1.27797 | + | 2.21351i | 0.0842670 | + | 0.145955i | ||||
\(231\) | 2.81595 | + | 4.10690i | 0.185276 | + | 0.270214i | ||||
\(232\) | 5.57383 | − | 9.65415i | 0.365940 | − | 0.633826i | ||||
\(233\) | 12.6222 | + | 9.17056i | 0.826907 | + | 0.600783i | 0.918683 | − | 0.394997i | \(-0.129254\pi\) |
−0.0917755 | + | 0.995780i | \(0.529254\pi\) | |||||||
\(234\) | 1.62693 | + | 3.73633i | 0.106356 | + | 0.244252i | ||||
\(235\) | −0.0464058 | − | 0.142823i | −0.00302718 | − | 0.00931671i | ||||
\(236\) | −5.82110 | + | 0.611822i | −0.378921 | + | 0.0398262i | ||||
\(237\) | 12.4167 | + | 4.09080i | 0.806548 | + | 0.265726i | ||||
\(238\) | 2.31314 | + | 2.08277i | 0.149939 | + | 0.135006i | ||||
\(239\) | 29.3191 | − | 6.23198i | 1.89650 | − | 0.403113i | 0.897237 | − | 0.441550i | \(-0.145571\pi\) |
0.999261 | + | 0.0384367i | \(0.0122378\pi\) | |||||||
\(240\) | −3.10247 | + | 1.77428i | −0.200263 | + | 0.114529i | ||||
\(241\) | −1.64353 | − | 0.948892i | −0.105869 | − | 0.0611235i | 0.446131 | − | 0.894968i | \(-0.352802\pi\) |
−0.552000 | + | 0.833844i | \(0.686135\pi\) | |||||||
\(242\) | 11.8020 | − | 4.61184i | 0.758662 | − | 0.296460i | ||||
\(243\) | −8.06943 | + | 13.3373i | −0.517654 | + | 0.855590i | ||||
\(244\) | 5.36837 | − | 7.38893i | 0.343675 | − | 0.473028i | ||||
\(245\) | −4.35383 | + | 3.92020i | −0.278156 | + | 0.250453i | ||||
\(246\) | −0.780800 | + | 7.14672i | −0.0497820 | + | 0.455658i | ||||
\(247\) | −7.47362 | − | 3.32747i | −0.475535 | − | 0.211722i | ||||
\(248\) | 17.8601 | + | 7.95184i | 1.13412 | + | 0.504942i | ||||
\(249\) | 20.1584 | + | 14.7727i | 1.27749 | + | 0.936180i | ||||
\(250\) | −7.32063 | + | 6.59152i | −0.462997 | + | 0.416885i | ||||
\(251\) | −1.59530 | + | 2.19574i | −0.100694 | + | 0.138594i | −0.856391 | − | 0.516328i | \(-0.827299\pi\) |
0.755696 | + | 0.654922i | \(0.227299\pi\) | |||||||
\(252\) | 1.31034 | − | 1.16051i | 0.0825434 | − | 0.0731053i | ||||
\(253\) | −6.88652 | + | 3.76588i | −0.432952 | + | 0.236759i | ||||
\(254\) | −6.33891 | − | 3.65977i | −0.397739 | − | 0.229635i | ||||
\(255\) | −4.37366 | − | 2.54911i | −0.273889 | − | 0.159632i | ||||
\(256\) | 13.8107 | − | 2.93555i | 0.863166 | − | 0.183472i | ||||
\(257\) | 6.33303 | + | 5.70229i | 0.395044 | + | 0.355699i | 0.842584 | − | 0.538565i | \(-0.181033\pi\) |
−0.447540 | + | 0.894264i | \(0.647700\pi\) | |||||||
\(258\) | 5.70147 | − | 5.09143i | 0.354958 | − | 0.316979i | ||||
\(259\) | −6.88644 | + | 0.723794i | −0.427903 | + | 0.0449744i | ||||
\(260\) | 0.229971 | + | 0.707777i | 0.0142622 | + | 0.0438945i | ||||
\(261\) | −1.22385 | + | 10.7918i | −0.0757546 | + | 0.667998i | ||||
\(262\) | −16.1911 | − | 11.7636i | −1.00029 | − | 0.726755i | ||||
\(263\) | 11.9263 | − | 20.6569i | 0.735407 | − | 1.27376i | −0.219138 | − | 0.975694i | \(-0.570324\pi\) |
0.954545 | − | 0.298068i | \(-0.0963422\pi\) | |||||||
\(264\) | −8.42312 | − | 15.5542i | −0.518407 | − | 0.957298i | ||||
\(265\) | 4.55549 | + | 7.89033i | 0.279841 | + | 0.484699i | ||||
\(266\) | 0.724083 | − | 6.88919i | 0.0443964 | − | 0.422403i | ||||
\(267\) | −11.9075 | − | 10.8103i | −0.728726 | − | 0.661580i | ||||
\(268\) | 4.37359 | + | 0.929636i | 0.267160 | + | 0.0567865i | ||||
\(269\) | −14.1414 | − | 19.4640i | −0.862219 | − | 1.18674i | −0.981036 | − | 0.193826i | \(-0.937910\pi\) |
0.118817 | − | 0.992916i | \(-0.462090\pi\) | |||||||
\(270\) | 3.35427 | − | 4.49928i | 0.204134 | − | 0.273817i | ||||
\(271\) | 12.2868 | − | 3.99222i | 0.746370 | − | 0.242510i | 0.0889514 | − | 0.996036i | \(-0.471648\pi\) |
0.657418 | + | 0.753526i | \(0.271648\pi\) | |||||||
\(272\) | −4.59050 | − | 5.09827i | −0.278340 | − | 0.309128i | ||||
\(273\) | 0.878963 | + | 1.53693i | 0.0531973 | + | 0.0930194i | ||||
\(274\) | 17.6580 | − | 10.1949i | 1.06676 | − | 0.615894i | ||||
\(275\) | −8.90750 | − | 10.3662i | −0.537143 | − | 0.625104i | ||||
\(276\) | 1.61251 | + | 2.23868i | 0.0970618 | + | 0.134753i | ||||
\(277\) | 2.71457 | + | 6.09703i | 0.163103 | + | 0.366335i | 0.976546 | − | 0.215310i | \(-0.0690761\pi\) |
−0.813443 | + | 0.581645i | \(0.802409\pi\) | |||||||
\(278\) | 6.76925 | + | 2.19946i | 0.405993 | + | 0.131915i | ||||
\(279\) | −19.0470 | − | 0.156249i | −1.14031 | − | 0.00935437i | ||||
\(280\) | −2.02462 | + | 1.47097i | −0.120994 | + | 0.0879073i | ||||
\(281\) | 0.0641536 | + | 0.610381i | 0.00382709 | + | 0.0364123i | 0.996269 | − | 0.0863048i | \(-0.0275059\pi\) |
−0.992442 | + | 0.122717i | \(0.960839\pi\) | |||||||
\(282\) | 0.128780 | + | 0.292466i | 0.00766872 | + | 0.0174161i | ||||
\(283\) | −3.93076 | − | 18.4928i | −0.233659 | − | 1.09928i | −0.925945 | − | 0.377658i | \(-0.876730\pi\) |
0.692286 | − | 0.721623i | \(-0.256604\pi\) | |||||||
\(284\) | −7.44761 | − | 0.782775i | −0.441934 | − | 0.0464491i | ||||
\(285\) | 1.13166 | + | 11.2091i | 0.0670337 | + | 0.663969i | ||||
\(286\) | 4.31589 | − | 1.29253i | 0.255204 | − | 0.0764288i | ||||
\(287\) | 3.12347i | 0.184372i | ||||||||
\(288\) | −8.84588 | + | 6.31669i | −0.521248 | + | 0.372215i | ||||
\(289\) | −2.25049 | + | 6.92628i | −0.132381 | + | 0.407428i | ||||
\(290\) | 0.812951 | − | 3.82464i | 0.0477382 | − | 0.224590i | ||||
\(291\) | −6.60295 | + | 20.0417i | −0.387072 | + | 1.17487i | ||||
\(292\) | −0.949317 | + | 2.13220i | −0.0555546 | + | 0.124778i | ||||
\(293\) | −1.40704 | + | 1.56267i | −0.0822000 | + | 0.0912923i | −0.782842 | − | 0.622221i | \(-0.786231\pi\) |
0.700642 | + | 0.713513i | \(0.252897\pi\) | |||||||
\(294\) | 8.38003 | − | 9.23055i | 0.488733 | − | 0.538337i | ||||
\(295\) | −7.44844 | + | 3.31626i | −0.433665 | + | 0.193080i | ||||
\(296\) | 24.5968 | 1.42966 | ||||||||
\(297\) | 13.5742 | + | 10.6179i | 0.787656 | + | 0.616116i | ||||
\(298\) | −8.50312 | −0.492572 | ||||||||
\(299\) | −2.54947 | + | 1.13510i | −0.147440 | + | 0.0656443i | ||||
\(300\) | −3.22928 | + | 3.55704i | −0.186443 | + | 0.205366i | ||||
\(301\) | 2.22219 | − | 2.46799i | 0.128085 | − | 0.142252i | ||||
\(302\) | 6.31765 | − | 14.1897i | 0.363540 | − | 0.816524i | ||||
\(303\) | −3.28347 | + | 9.96621i | −0.188630 | + | 0.572544i | ||||
\(304\) | −3.17433 | + | 14.9341i | −0.182061 | + | 0.856527i | ||||
\(305\) | 3.93143 | − | 12.0997i | 0.225113 | − | 0.692827i | ||||
\(306\) | 9.80486 | + | 4.46213i | 0.560506 | + | 0.255083i | ||||
\(307\) | − | 17.6110i | − | 1.00511i | −0.864545 | − | 0.502556i | \(-0.832393\pi\) | ||
0.864545 | − | 0.502556i | \(-0.167607\pi\) | |||||||
\(308\) | −1.10083 | − | 1.59147i | −0.0627258 | − | 0.0906823i | ||||
\(309\) | 0.693942 | + | 6.87349i | 0.0394770 | + | 0.391019i | ||||
\(310\) | 6.81979 | + | 0.716789i | 0.387338 | + | 0.0407109i | ||||
\(311\) | 2.28802 | + | 10.7643i | 0.129741 | + | 0.610385i | 0.994188 | + | 0.107660i | \(0.0343359\pi\) |
−0.864446 | + | 0.502725i | \(0.832331\pi\) | |||||||
\(312\) | −2.53448 | − | 5.75596i | −0.143487 | − | 0.325867i | ||||
\(313\) | 0.407815 | + | 3.88010i | 0.0230511 | + | 0.219316i | 0.999983 | + | 0.00576709i | \(0.00183573\pi\) |
−0.976932 | + | 0.213549i | \(0.931498\pi\) | |||||||
\(314\) | 2.73263 | − | 1.98537i | 0.154211 | − | 0.112041i | ||||
\(315\) | 1.23639 | − | 2.10149i | 0.0696626 | − | 0.118405i | ||||
\(316\) | −4.83167 | − | 1.56991i | −0.271803 | − | 0.0883141i | ||||
\(317\) | −8.78636 | − | 19.7345i | −0.493491 | − | 1.10840i | −0.972988 | − | 0.230856i | \(-0.925847\pi\) |
0.479497 | − | 0.877544i | \(-0.340819\pi\) | |||||||
\(318\) | −11.3315 | − | 15.7318i | −0.635439 | − | 0.882194i | ||||
\(319\) | 11.6839 | + | 2.76799i | 0.654173 | + | 0.154978i | ||||
\(320\) | 6.96292 | − | 4.02004i | 0.389239 | − | 0.224727i | ||||
\(321\) | 5.28960 | + | 9.24926i | 0.295237 | + | 0.516243i | ||||
\(322\) | −1.58119 | − | 1.75609i | −0.0881161 | − | 0.0978628i | ||||
\(323\) | −20.5672 | + | 6.68269i | −1.14439 | + | 0.371835i | ||||
\(324\) | 3.11455 | − | 5.19579i | 0.173030 | − | 0.288655i | ||||
\(325\) | −2.85638 | − | 3.93148i | −0.158444 | − | 0.218079i | ||||
\(326\) | 24.8093 | + | 5.27338i | 1.37406 | + | 0.292065i | ||||
\(327\) | 21.7193 | + | 19.7180i | 1.20108 | + | 1.09041i | ||||
\(328\) | 1.15977 | − | 11.0344i | 0.0640373 | − | 0.609274i | ||||
\(329\) | 0.0694194 | + | 0.120238i | 0.00382722 | + | 0.00662893i | ||||
\(330\) | −4.49575 | − | 4.27571i | −0.247483 | − | 0.235370i | ||||
\(331\) | 3.42603 | − | 5.93405i | 0.188311 | − | 0.326165i | −0.756376 | − | 0.654137i | \(-0.773032\pi\) |
0.944687 | + | 0.327972i | \(0.106365\pi\) | |||||||
\(332\) | −7.85719 | − | 5.70858i | −0.431219 | − | 0.313299i | ||||
\(333\) | −21.9718 | + | 9.56728i | −1.20405 | + | 0.524284i | ||||
\(334\) | 0.229499 | + | 0.706326i | 0.0125576 | + | 0.0386485i | ||||
\(335\) | 6.19430 | − | 0.651048i | 0.338431 | − | 0.0355705i | ||||
\(336\) | 2.46459 | − | 2.20089i | 0.134454 | − | 0.120068i | ||||
\(337\) | −0.549304 | − | 0.494595i | −0.0299225 | − | 0.0269423i | 0.654034 | − | 0.756465i | \(-0.273075\pi\) |
−0.683956 | + | 0.729523i | \(0.739742\pi\) | |||||||
\(338\) | −13.0808 | + | 2.78041i | −0.711502 | + | 0.151235i | ||||
\(339\) | −11.9804 | − | 6.98258i | −0.650688 | − | 0.379242i | ||||
\(340\) | 1.70368 | + | 0.983622i | 0.0923952 | + | 0.0533444i | ||||
\(341\) | −2.68594 | + | 20.8860i | −0.145452 | + | 1.13104i | ||||
\(342\) | −4.79193 | − | 23.4901i | −0.259118 | − | 1.27020i | ||||
\(343\) | 6.75032 | − | 9.29102i | 0.364483 | − | 0.501668i | ||||
\(344\) | −8.76681 | + | 7.89367i | −0.472675 | + | 0.425598i | ||||
\(345\) | 3.09991 | + | 2.27170i | 0.166893 | + | 0.122304i | ||||
\(346\) | −14.1998 | − | 6.32216i | −0.763386 | − | 0.339882i | ||||
\(347\) | −10.8753 | − | 4.84200i | −0.583818 | − | 0.259932i | 0.0935047 | − | 0.995619i | \(-0.470193\pi\) |
−0.677322 | + | 0.735687i | \(0.736860\pi\) | |||||||
\(348\) | 0.458392 | − | 4.19570i | 0.0245724 | − | 0.224913i | ||||
\(349\) | −7.57043 | + | 6.81644i | −0.405236 | + | 0.364876i | −0.846397 | − | 0.532552i | \(-0.821233\pi\) |
0.441162 | + | 0.897428i | \(0.354566\pi\) | |||||||
\(350\) | 2.41863 | − | 3.32896i | 0.129281 | − | 0.177940i | ||||
\(351\) | 4.50285 | + | 4.15584i | 0.240345 | + | 0.221822i | ||||
\(352\) | 5.76564 | + | 10.5434i | 0.307310 | + | 0.561965i | ||||
\(353\) | 27.2712 | + | 15.7451i | 1.45150 | + | 0.838025i | 0.998567 | − | 0.0535191i | \(-0.0170438\pi\) |
0.452935 | + | 0.891544i | \(0.350377\pi\) | |||||||
\(354\) | 15.0611 | − | 8.61334i | 0.800487 | − | 0.457794i | ||||
\(355\) | −10.2035 | + | 2.16883i | −0.541548 | + | 0.115110i | ||||
\(356\) | 4.64452 | + | 4.18194i | 0.246159 | + | 0.221643i | ||||
\(357\) | 4.44521 | + | 1.46452i | 0.235265 | + | 0.0775106i | ||||
\(358\) | −1.28095 | + | 0.134633i | −0.0677001 | + | 0.00711557i | ||||
\(359\) | −8.57599 | − | 26.3942i | −0.452624 | − | 1.39303i | −0.873903 | − | 0.486101i | \(-0.838419\pi\) |
0.421279 | − | 0.906931i | \(-0.361581\pi\) | |||||||
\(360\) | −5.14815 | + | 6.96494i | −0.271331 | + | 0.367085i | ||||
\(361\) | 23.5646 | + | 17.1207i | 1.24024 | + | 0.901090i | ||||
\(362\) | −13.3769 | + | 23.1694i | −0.703073 | + | 1.21776i | ||||
\(363\) | 13.4466 | − | 13.4978i | 0.705761 | − | 0.708450i | ||||
\(364\) | −0.344018 | − | 0.595856i | −0.0180314 | − | 0.0312313i | ||||
\(365\) | −0.339842 | + | 3.23338i | −0.0177881 | + | 0.169243i | ||||
\(366\) | −5.73735 | + | 26.4580i | −0.299896 | + | 1.38298i | ||||
\(367\) | 16.5170 | + | 3.51080i | 0.862181 | + | 0.183262i | 0.617721 | − | 0.786397i | \(-0.288056\pi\) |
0.244460 | + | 0.969659i | \(0.421389\pi\) | |||||||
\(368\) | 3.06133 | + | 4.21357i | 0.159583 | + | 0.219647i | ||||
\(369\) | 3.25600 | + | 10.3079i | 0.169501 | + | 0.536608i | ||||
\(370\) | 8.20517 | − | 2.66602i | 0.426567 | − | 0.138600i | ||||
\(371\) | −5.63633 | − | 6.25977i | −0.292623 | − | 0.324991i | ||||
\(372\) | 7.40198 | + | 0.0303599i | 0.383775 | + | 0.00157409i | ||||
\(373\) | −5.20412 | + | 3.00460i | −0.269459 | + | 0.155572i | −0.628642 | − | 0.777695i | \(-0.716389\pi\) |
0.359183 | + | 0.933267i | \(0.383056\pi\) | |||||||
\(374\) | 6.19214 | − | 10.1731i | 0.320188 | − | 0.526037i | ||||
\(375\) | −6.08004 | + | 13.5066i | −0.313972 | + | 0.697479i | ||||
\(376\) | −0.200596 | − | 0.450547i | −0.0103450 | − | 0.0232352i | ||||
\(377\) | 4.06031 | + | 1.31928i | 0.209117 | + | 0.0679462i | ||||
\(378\) | −2.16850 | + | 4.71357i | −0.111536 | + | 0.242440i | ||||
\(379\) | −6.88315 | + | 5.00090i | −0.353563 | + | 0.256879i | −0.750362 | − | 0.661027i | \(-0.770121\pi\) |
0.396799 | + | 0.917906i | \(0.370121\pi\) | |||||||
\(380\) | −0.457633 | − | 4.35409i | −0.0234761 | − | 0.223360i | ||||
\(381\) | −10.9407 | − | 1.19531i | −0.560511 | − | 0.0612375i | ||||
\(382\) | −0.716412 | − | 3.37045i | −0.0366548 | − | 0.172447i | ||||
\(383\) | −10.0689 | − | 1.05828i | −0.514495 | − | 0.0540756i | −0.156276 | − | 0.987713i | \(-0.549949\pi\) |
−0.358219 | + | 0.933638i | \(0.616616\pi\) | |||||||
\(384\) | −3.69836 | + | 2.66390i | −0.188731 | + | 0.135942i | ||||
\(385\) | −2.14344 | − | 1.63452i | −0.109240 | − | 0.0833029i | ||||
\(386\) | − | 11.3925i | − | 0.579863i | ||||||
\(387\) | 4.76083 | − | 10.4612i | 0.242007 | − | 0.531773i | ||||
\(388\) | 2.53398 | − | 7.79880i | 0.128644 | − | 0.395924i | ||||
\(389\) | 1.94019 | − | 9.12788i | 0.0983716 | − | 0.462802i | −0.901196 | − | 0.433411i | \(-0.857310\pi\) |
0.999568 | − | 0.0293909i | \(-0.00935677\pi\) | |||||||
\(390\) | −1.46935 | − | 1.64540i | −0.0744035 | − | 0.0833182i | ||||
\(391\) | −3.00055 | + | 6.73934i | −0.151744 | + | 0.340823i | ||||
\(392\) | −12.8744 | + | 14.2985i | −0.650257 | + | 0.722183i | ||||
\(393\) | −29.4091 | − | 6.37727i | −1.48349 | − | 0.321691i | ||||
\(394\) | 5.20449 | − | 2.31719i | 0.262198 | − | 0.116738i | ||||
\(395\) | −7.07678 | −0.356071 | ||||||||
\(396\) | −5.29191 | − | 4.10453i | −0.265928 | − | 0.206261i | ||||
\(397\) | 10.3328 | 0.518587 | 0.259294 | − | 0.965799i | \(-0.416510\pi\) | ||||
0.259294 | + | 0.965799i | \(0.416510\pi\) | |||||||
\(398\) | −8.04892 | + | 3.58361i | −0.403456 | + | 0.179630i | ||||
\(399\) | −3.17801 | − | 9.91914i | −0.159099 | − | 0.496578i | ||||
\(400\) | −6.06850 | + | 6.73976i | −0.303425 | + | 0.336988i | ||||
\(401\) | −6.03316 | + | 13.5507i | −0.301282 | + | 0.676690i | −0.999221 | − | 0.0394673i | \(-0.987434\pi\) |
0.697939 | + | 0.716157i | \(0.254101\pi\) | |||||||
\(402\) | −12.9755 | + | 2.70245i | −0.647159 | + | 0.134786i | ||||
\(403\) | −1.55669 | + | 7.32367i | −0.0775444 | + | 0.364818i | ||||
\(404\) | 1.26008 | − | 3.87814i | 0.0626915 | − | 0.192944i | ||||
\(405\) | 1.88961 | − | 8.22406i | 0.0938953 | − | 0.408657i | ||||
\(406\) | 3.61498i | 0.179409i | ||||||||
\(407\) | 7.60080 | + | 25.3799i | 0.376758 | + | 1.25804i | ||||
\(408\) | −15.1600 | − | 6.82432i | −0.750533 | − | 0.337854i | ||||
\(409\) | −8.68807 | − | 0.913153i | −0.429597 | − | 0.0451525i | −0.112737 | − | 0.993625i | \(-0.535962\pi\) |
−0.316860 | + | 0.948472i | \(0.602629\pi\) | |||||||
\(410\) | −0.809127 | − | 3.80664i | −0.0399599 | − | 0.187997i | ||||
\(411\) | 18.1222 | − | 24.7291i | 0.893901 | − | 1.21980i | ||||
\(412\) | −0.280624 | − | 2.66996i | −0.0138253 | − | 0.131539i | ||||
\(413\) | 6.09836 | − | 4.43072i | 0.300081 | − | 0.218021i | ||||
\(414\) | −7.04875 | − | 4.14706i | −0.346427 | − | 0.203817i | ||||
\(415\) | −12.8665 | − | 4.18058i | −0.631591 | − | 0.205216i | ||||
\(416\) | 1.73785 | + | 3.90329i | 0.0852053 | + | 0.191374i | ||||
\(417\) | 10.6481 | − | 1.07502i | 0.521439 | − | 0.0526440i | ||||
\(418\) | −26.4161 | + | 2.15879i | −1.29205 | + | 0.105590i | ||||
\(419\) | −30.4601 | + | 17.5861i | −1.48807 | + | 0.859139i | −0.999907 | − | 0.0136128i | \(-0.995667\pi\) |
−0.488165 | + | 0.872752i | \(0.662333\pi\) | |||||||
\(420\) | −0.477115 | + | 0.818615i | −0.0232808 | + | 0.0399443i | ||||
\(421\) | −1.06753 | − | 1.18561i | −0.0520281 | − | 0.0577831i | 0.716569 | − | 0.697516i | \(-0.245712\pi\) |
−0.768597 | + | 0.639733i | \(0.779045\pi\) | |||||||
\(422\) | −25.7507 | + | 8.36692i | −1.25353 | + | 0.407295i | ||||
\(423\) | 0.354434 | + | 0.324438i | 0.0172332 | + | 0.0157747i | ||||
\(424\) | 17.5874 | + | 24.2070i | 0.854121 | + | 1.17560i | ||||
\(425\) | −12.5652 | − | 2.67082i | −0.609503 | − | 0.129554i | ||||
\(426\) | 21.1395 | − | 6.77290i | 1.02421 | − | 0.328148i | ||||
\(427\) | −1.22949 | + | 11.6978i | −0.0594990 | + | 0.566095i | ||||
\(428\) | −2.07030 | − | 3.58586i | −0.100072 | − | 0.173329i | ||||
\(429\) | 5.15602 | − | 4.39385i | 0.248935 | − | 0.212137i | ||||
\(430\) | −2.06890 | + | 3.58345i | −0.0997714 | + | 0.172809i | ||||
\(431\) | 23.8660 | + | 17.3397i | 1.14959 | + | 0.835223i | 0.988426 | − | 0.151706i | \(-0.0484766\pi\) |
0.161160 | + | 0.986928i | \(0.448477\pi\) | |||||||
\(432\) | 5.83922 | − | 9.83241i | 0.280940 | − | 0.473062i | ||||
\(433\) | 3.54190 | + | 10.9008i | 0.170213 | + | 0.523861i | 0.999383 | − | 0.0351356i | \(-0.0111863\pi\) |
−0.829170 | + | 0.558997i | \(0.811186\pi\) | |||||||
\(434\) | −6.30509 | + | 0.662692i | −0.302654 | + | 0.0318102i | ||||
\(435\) | −1.19878 | − | 5.75578i | −0.0574769 | − | 0.275969i | ||||
\(436\) | −8.47161 | − | 7.62787i | −0.405716 | − | 0.365309i | ||||
\(437\) | 16.0589 | − | 3.41343i | 0.768202 | − | 0.163286i | ||||
\(438\) | 0.0283765 | − | 6.91840i | 0.00135588 | − | 0.330574i | ||||
\(439\) | −2.63084 | − | 1.51891i | −0.125563 | − | 0.0724938i | 0.435903 | − | 0.899994i | \(-0.356429\pi\) |
−0.561466 | + | 0.827500i | \(0.689762\pi\) | |||||||
\(440\) | 6.96532 | + | 6.57023i | 0.332059 | + | 0.313223i | ||||
\(441\) | 5.93882 | − | 17.7802i | 0.282801 | − | 0.846676i | ||||
\(442\) | 2.48895 | − | 3.42575i | 0.118387 | − | 0.162946i | ||||
\(443\) | 12.3005 | − | 11.0754i | 0.584415 | − | 0.526210i | −0.323026 | − | 0.946390i | \(-0.604700\pi\) |
0.907440 | + | 0.420181i | \(0.138033\pi\) | |||||||
\(444\) | 8.52305 | − | 3.75290i | 0.404486 | − | 0.178105i | ||||
\(445\) | 7.95320 | + | 3.54099i | 0.377018 | + | 0.167859i | ||||
\(446\) | −21.9926 | − | 9.79175i | −1.04138 | − | 0.463653i | ||||
\(447\) | −11.7014 | + | 5.15238i | −0.553455 | + | 0.243699i | ||||
\(448\) | −5.52401 | + | 4.97385i | −0.260985 | + | 0.234992i | ||||
\(449\) | 0.152765 | − | 0.210263i | 0.00720943 | − | 0.00992293i | −0.805397 | − | 0.592736i | \(-0.798048\pi\) |
0.812606 | + | 0.582813i | \(0.198048\pi\) | |||||||
\(450\) | 4.51162 | − | 13.5073i | 0.212680 | − | 0.636741i | ||||
\(451\) | 11.7441 | − | 2.21312i | 0.553009 | − | 0.104212i | ||||
\(452\) | 4.66676 | + | 2.69436i | 0.219506 | + | 0.126732i | ||||
\(453\) | 0.0957923 | − | 23.3549i | 0.00450071 | − | 1.09731i | ||||
\(454\) | 13.3829 | − | 2.84462i | 0.628090 | − | 0.133505i | ||||
\(455\) | −0.712244 | − | 0.641307i | −0.0333905 | − | 0.0300649i | ||||
\(456\) | 7.54405 | + | 36.2219i | 0.353283 | + | 1.69624i | ||||
\(457\) | 5.41010 | − | 0.568624i | 0.253074 | − | 0.0265991i | 0.0228580 | − | 0.999739i | \(-0.492723\pi\) |
0.230216 | + | 0.973140i | \(0.426057\pi\) | |||||||
\(458\) | 3.48877 | + | 10.7373i | 0.163019 | + | 0.501722i | ||||
\(459\) | 16.1965 | + | 0.199303i | 0.755988 | + | 0.00930269i | ||||
\(460\) | −1.20826 | − | 0.877849i | −0.0563352 | − | 0.0409299i | ||||
\(461\) | −14.6816 | + | 25.4292i | −0.683789 | + | 1.18436i | 0.290026 | + | 0.957019i | \(0.406336\pi\) |
−0.973816 | + | 0.227339i | \(0.926997\pi\) | |||||||
\(462\) | 4.88750 | + | 3.00247i | 0.227387 | + | 0.139687i | ||||
\(463\) | −10.1913 | − | 17.6519i | −0.473632 | − | 0.820354i | 0.525913 | − | 0.850539i | \(-0.323724\pi\) |
−0.999544 | + | 0.0301843i | \(0.990391\pi\) | |||||||
\(464\) | 0.832838 | − | 7.92393i | 0.0386635 | − | 0.367859i | ||||
\(465\) | 9.81922 | − | 3.14599i | 0.455355 | − | 0.145892i | ||||
\(466\) | 17.5793 | + | 3.73661i | 0.814348 | + | 0.173095i | ||||
\(467\) | −0.293731 | − | 0.404285i | −0.0135922 | − | 0.0187081i | 0.802167 | − | 0.597100i | \(-0.203680\pi\) |
−0.815759 | + | 0.578392i | \(0.803680\pi\) | |||||||
\(468\) | −1.75645 | − | 1.60780i | −0.0811918 | − | 0.0743205i | ||||
\(469\) | −5.47653 | + | 1.77943i | −0.252882 | + | 0.0821665i | ||||
\(470\) | −0.115750 | − | 0.128554i | −0.00533917 | − | 0.00592975i | ||||
\(471\) | 2.55743 | − | 4.38793i | 0.117840 | − | 0.202185i | ||||
\(472\) | −23.1891 | + | 13.3883i | −1.06737 | + | 0.616244i | ||||
\(473\) | −10.8541 | − | 6.60665i | −0.499070 | − | 0.303774i | ||||
\(474\) | 14.9831 | − | 1.51268i | 0.688194 | − | 0.0694795i | ||||
\(475\) | 11.6280 | + | 26.1168i | 0.533528 | + | 1.19832i | ||||
\(476\) | −1.72976 | − | 0.562032i | −0.0792833 | − | 0.0257607i | ||||
\(477\) | −25.1261 | − | 14.7827i | −1.15044 | − | 0.676853i | ||||
\(478\) | 27.9335 | − | 20.2949i | 1.27765 | − | 0.928267i | ||||
\(479\) | 1.12336 | + | 10.6880i | 0.0513276 | + | 0.488349i | 0.989745 | + | 0.142845i | \(0.0456252\pi\) |
−0.938417 | + | 0.345504i | \(0.887708\pi\) | |||||||
\(480\) | 3.47802 | − | 4.74602i | 0.158749 | − | 0.216625i | ||||
\(481\) | 1.95852 | + | 9.21411i | 0.0893008 | + | 0.420127i | ||||
\(482\) | −2.17411 | − | 0.228509i | −0.0990282 | − | 0.0104083i | ||||
\(483\) | −3.23999 | − | 1.45849i | −0.147425 | − | 0.0663636i | ||||
\(484\) | −5.20386 | + | 5.26672i | −0.236539 | + | 0.239396i | ||||
\(485\) | − | 11.4226i | − | 0.518675i | ||||||
\(486\) | −2.24279 | + | 17.8160i | −0.101735 | + | 0.808150i | ||||
\(487\) | 9.43244 | − | 29.0301i | 0.427425 | − | 1.31548i | −0.473228 | − | 0.880940i | \(-0.656911\pi\) |
0.900653 | − | 0.434539i | \(-0.143089\pi\) | |||||||
\(488\) | 8.68693 | − | 40.8688i | 0.393239 | − | 1.85004i | ||||
\(489\) | 37.3360 | − | 7.77610i | 1.68839 | − | 0.351648i | ||||
\(490\) | −2.74494 | + | 6.16523i | −0.124004 | + | 0.278517i | ||||
\(491\) | 16.7764 | − | 18.6321i | 0.757109 | − | 0.840855i | −0.234230 | − | 0.972181i | \(-0.575257\pi\) |
0.991339 | + | 0.131327i | \(0.0419237\pi\) | |||||||
\(492\) | −1.28172 | − | 4.00050i | −0.0577845 | − | 0.180356i | ||||
\(493\) | 10.3098 | − | 4.59023i | 0.464331 | − | 0.206734i | ||||
\(494\) | −9.42371 | −0.423993 | ||||||||
\(495\) | −8.77754 | − | 3.15977i | −0.394521 | − | 0.142021i | ||||
\(496\) | 13.9732 | 0.627417 | ||||||||
\(497\) | 8.81044 | − | 3.92266i | 0.395202 | − | 0.175955i | ||||
\(498\) | 28.1347 | + | 6.10093i | 1.26075 | + | 0.273389i | ||||
\(499\) | 3.32579 | − | 3.69366i | 0.148883 | − | 0.165351i | −0.664090 | − | 0.747652i | \(-0.731181\pi\) |
0.812973 | + | 0.582301i | \(0.197848\pi\) | |||||||
\(500\) | 2.34120 | − | 5.25841i | 0.104701 | − | 0.235163i | ||||
\(501\) | 0.743811 | + | 0.832931i | 0.0332310 | + | 0.0372126i | ||||
\(502\) | −0.650016 | + | 3.05808i | −0.0290116 | + | 0.136489i | ||||
\(503\) | −11.3085 | + | 34.8039i | −0.504219 | + | 1.55183i | 0.297860 | + | 0.954610i | \(0.403727\pi\) |
−0.802079 | + | 0.597218i | \(0.796273\pi\) | |||||||
\(504\) | 3.31680 | − | 7.28816i | 0.147742 | − | 0.324640i | ||||
\(505\) | − | 5.68017i | − | 0.252764i | ||||||
\(506\) | −5.48247 | + | 7.18946i | −0.243725 | + | 0.319611i | ||||
\(507\) | −16.3161 | + | 11.7524i | −0.724623 | + | 0.521942i | ||||
\(508\) | 4.25351 | + | 0.447062i | 0.188719 | + | 0.0198352i | ||||
\(509\) | 2.90072 | + | 13.6468i | 0.128572 | + | 0.604884i | 0.994502 | + | 0.104718i | \(0.0333941\pi\) |
−0.865930 | + | 0.500165i | \(0.833273\pi\) | |||||||
\(510\) | −5.79686 | − | 0.633324i | −0.256689 | − | 0.0280441i | ||||
\(511\) | −0.314194 | − | 2.98935i | −0.0138991 | − | 0.132241i | ||||
\(512\) | 17.4158 | − | 12.6533i | 0.769677 | − | 0.559203i | ||||
\(513\) | −20.8279 | − | 29.4218i | −0.919575 | − | 1.29900i | ||||
\(514\) | 9.33611 | + | 3.03349i | 0.411798 | + | 0.133801i | ||||
\(515\) | −1.52106 | − | 3.41636i | −0.0670261 | − | 0.150543i | ||||
\(516\) | −1.83340 | + | 4.07285i | −0.0807110 | + | 0.179297i | ||||
\(517\) | 0.402903 | − | 0.346208i | 0.0177196 | − | 0.0152262i | ||||
\(518\) | −6.90769 | + | 3.98815i | −0.303506 | + | 0.175229i | ||||
\(519\) | −23.3716 | − | 0.0958607i | −1.02590 | − | 0.00420782i | ||||
\(520\) | 2.27806 | + | 2.53004i | 0.0998994 | + | 0.110950i | ||||
\(521\) | 6.74242 | − | 2.19075i | 0.295391 | − | 0.0959783i | −0.157573 | − | 0.987507i | \(-0.550367\pi\) |
0.452963 | + | 0.891529i | \(0.350367\pi\) | |||||||
\(522\) | 3.76837 | + | 11.9300i | 0.164937 | + | 0.522161i | ||||
\(523\) | 7.47929 | + | 10.2944i | 0.327047 | + | 0.450141i | 0.940602 | − | 0.339510i | \(-0.110261\pi\) |
−0.613556 | + | 0.789651i | \(0.710261\pi\) | |||||||
\(524\) | 11.4386 | + | 2.43135i | 0.499699 | + | 0.106214i | ||||
\(525\) | 1.31119 | − | 6.04661i | 0.0572251 | − | 0.263896i | ||||
\(526\) | 2.87205 | − | 27.3257i | 0.125227 | − | 1.19146i | ||||
\(527\) | 9.89606 | + | 17.1405i | 0.431079 | + | 0.746651i | ||||
\(528\) | −10.0215 | − | 7.70731i | −0.436131 | − | 0.335418i | ||||
\(529\) | −8.69973 | + | 15.0684i | −0.378249 | + | 0.655147i | ||||
\(530\) | 8.49070 | + | 6.16886i | 0.368813 | + | 0.267958i | ||||
\(531\) | 15.5068 | − | 20.9791i | 0.672936 | − | 0.910417i | ||||
\(532\) | 1.25079 | + | 3.84955i | 0.0542288 | + | 0.166899i | ||||
\(533\) | 4.22591 | − | 0.444161i | 0.183044 | − | 0.0192387i | ||||
\(534\) | −17.5955 | − | 5.79702i | −0.761432 | − | 0.250862i | ||||
\(535\) | −4.28628 | − | 3.85939i | −0.185312 | − | 0.166856i | ||||
\(536\) | 20.0079 | − | 4.25281i | 0.864210 | − | 0.183694i | ||||
\(537\) | −1.68116 | + | 0.961449i | −0.0725476 | + | 0.0414896i | ||||
\(538\) | −24.0009 | − | 13.8569i | −1.03475 | − | 0.597414i | ||||
\(539\) | −18.7321 | − | 8.86584i | −0.806849 | − | 0.381879i | ||||
\(540\) | −0.721199 | + | 3.19891i | −0.0310355 | + | 0.137659i | ||||
\(541\) | 2.30481 | − | 3.17230i | 0.0990915 | − | 0.136388i | −0.756592 | − | 0.653887i | \(-0.773137\pi\) |
0.855684 | + | 0.517499i | \(0.173137\pi\) | |||||||
\(542\) | 11.0593 | − | 9.95783i | 0.475037 | − | 0.427725i | ||||
\(543\) | −4.36898 | + | 39.9896i | −0.187491 | + | 1.71612i | ||||
\(544\) | 10.3181 | + | 4.59390i | 0.442384 | + | 0.196962i | ||||
\(545\) | −14.5066 | − | 6.45877i | −0.621396 | − | 0.276663i | ||||
\(546\) | 1.64505 | + | 1.20554i | 0.0704017 | + | 0.0515924i | ||||
\(547\) | 8.02752 | − | 7.22801i | 0.343232 | − | 0.309047i | −0.479428 | − | 0.877581i | \(-0.659156\pi\) |
0.822660 | + | 0.568534i | \(0.192489\pi\) | |||||||
\(548\) | −7.00292 | + | 9.63869i | −0.299150 | + | 0.411745i | ||||
\(549\) | 8.13665 | + | 39.8860i | 0.347264 | + | 1.70229i | ||||
\(550\) | −14.2305 | − | 6.73523i | −0.606789 | − | 0.287191i | ||||
\(551\) | −21.7509 | − | 12.5579i | −0.926618 | − | 0.534983i | ||||
\(552\) | 10.9045 | + | 6.35552i | 0.464128 | + | 0.270509i | ||||
\(553\) | 6.39972 | − | 1.36030i | 0.272144 | − | 0.0578459i | ||||
\(554\) | 5.71325 | + | 5.14423i | 0.242733 | + | 0.218557i | ||||
\(555\) | 9.67590 | − | 8.64062i | 0.410719 | − | 0.366774i | ||||
\(556\) | −4.13617 | + | 0.434729i | −0.175413 | + | 0.0184366i | ||||
\(557\) | −7.06108 | − | 21.7318i | −0.299188 | − | 0.920805i | −0.981783 | − | 0.190008i | \(-0.939149\pi\) |
0.682595 | − | 0.730797i | \(-0.260851\pi\) | |||||||
\(558\) | −20.1169 | + | 8.75961i | −0.851617 | + | 0.370824i | ||||
\(559\) | −3.65507 | − | 2.65556i | −0.154593 | − | 0.112318i | ||||
\(560\) | −0.894330 | + | 1.54903i | −0.0377924 | + | 0.0654583i | ||||
\(561\) | 2.35690 | − | 17.7515i | 0.0995084 | − | 0.749468i | ||||
\(562\) | 0.353491 | + | 0.612264i | 0.0149111 | + | 0.0258268i | ||||
\(563\) | 1.13351 | − | 10.7847i | 0.0477720 | − | 0.454520i | −0.944322 | − | 0.329023i | \(-0.893281\pi\) |
0.992094 | − | 0.125497i | \(-0.0400526\pi\) | |||||||
\(564\) | −0.138251 | − | 0.125513i | −0.00582143 | − | 0.00528504i | ||||
\(565\) | 7.34233 | + | 1.56066i | 0.308894 | + | 0.0656575i | ||||
\(566\) | −12.8008 | − | 17.6188i | −0.538058 | − | 0.740574i | ||||
\(567\) | −0.127988 | + | 7.80045i | −0.00537499 | + | 0.327588i | ||||
\(568\) | −32.5816 | + | 10.5864i | −1.36709 | + | 0.444195i | ||||
\(569\) | 11.2554 | + | 12.5004i | 0.471849 | + | 0.524042i | 0.931345 | − | 0.364138i | \(-0.118636\pi\) |
−0.459495 | + | 0.888180i | \(0.651970\pi\) | |||||||
\(570\) | 6.44264 | + | 11.2654i | 0.269852 | + | 0.471857i | ||||
\(571\) | −14.1246 | + | 8.15487i | −0.591098 | + | 0.341271i | −0.765532 | − | 0.643398i | \(-0.777524\pi\) |
0.174434 | + | 0.984669i | \(0.444191\pi\) | |||||||
\(572\) | −1.99664 | + | 1.71568i | −0.0834838 | + | 0.0717363i | ||||
\(573\) | −3.02816 | − | 4.20406i | −0.126503 | − | 0.175627i | ||||
\(574\) | 1.46343 | + | 3.28692i | 0.0610823 | + | 0.137193i | ||||
\(575\) | 9.27503 | + | 3.01364i | 0.386795 | + | 0.125677i | ||||
\(576\) | −13.0452 | + | 22.1728i | −0.543548 | + | 0.923868i | ||||
\(577\) | 6.51886 | − | 4.73623i | 0.271384 | − | 0.197172i | −0.443767 | − | 0.896142i | \(-0.646358\pi\) |
0.715150 | + | 0.698971i | \(0.246358\pi\) | |||||||
\(578\) | 0.876899 | + | 8.34314i | 0.0364742 | + | 0.347029i | ||||
\(579\) | −6.90317 | − | 15.6775i | −0.286886 | − | 0.651535i | ||||
\(580\) | 0.475022 | + | 2.23480i | 0.0197242 | + | 0.0927952i | ||||
\(581\) | 12.4391 | + | 1.30740i | 0.516061 | + | 0.0542401i | ||||
\(582\) | 2.44161 | + | 24.1841i | 0.101208 | + | 1.00246i | ||||
\(583\) | −19.5429 | + | 25.6277i | −0.809384 | + | 1.06139i | ||||
\(584\) | 10.6773i | 0.441830i | ||||||||
\(585\) | −3.01903 | − | 1.37394i | −0.124821 | − | 0.0568055i | ||||
\(586\) | −0.748511 | + | 2.30368i | −0.0309207 | + | 0.0951642i | ||||
\(587\) | 3.27214 | − | 15.3942i | 0.135056 | − | 0.635387i | −0.857590 | − | 0.514333i | \(-0.828039\pi\) |
0.992646 | − | 0.121053i | \(-0.0386272\pi\) | |||||||
\(588\) | −2.27951 | + | 6.91891i | −0.0940053 | + | 0.285331i | ||||
\(589\) | 17.9155 | − | 40.2390i | 0.738197 | − | 1.65802i | ||||
\(590\) | −6.28445 | + | 6.97959i | −0.258727 | + | 0.287345i | ||||
\(591\) | 5.75795 | − | 6.34235i | 0.236850 | − | 0.260889i | ||||
\(592\) | 16.0602 | − | 7.15048i | 0.660072 | − | 0.293883i | ||||
\(593\) | −22.2880 | −0.915258 | −0.457629 | − | 0.889143i | \(-0.651301\pi\) | ||||
−0.457629 | + | 0.889143i | \(0.651301\pi\) | |||||||
\(594\) | 19.2593 | + | 4.81369i | 0.790220 | + | 0.197508i | ||||
\(595\) | −2.53351 | −0.103864 | ||||||||
\(596\) | 4.53897 | − | 2.02088i | 0.185924 | − | 0.0827785i | ||||
\(597\) | −8.90488 | + | 9.80867i | −0.364452 | + | 0.401442i | ||||
\(598\) | −2.15105 | + | 2.38899i | −0.0879632 | + | 0.0976930i | ||||
\(599\) | −11.6351 | + | 26.1329i | −0.475398 | + | 1.06776i | 0.503608 | + | 0.863932i | \(0.332006\pi\) |
−0.979006 | + | 0.203830i | \(0.934661\pi\) | |||||||
\(600\) | −6.87726 | + | 20.8743i | −0.280763 | + | 0.852190i | ||||
\(601\) | 1.48234 | − | 6.97385i | 0.0604658 | − | 0.284469i | −0.937518 | − | 0.347936i | \(-0.886882\pi\) |
0.997984 | + | 0.0634672i | \(0.0202158\pi\) | |||||||
\(602\) | 1.18215 | − | 3.63829i | 0.0481809 | − | 0.148286i | ||||
\(603\) | −16.2184 | + | 11.5813i | −0.660464 | + | 0.471626i | ||||
\(604\) | 9.07594i | 0.369295i | ||||||||
\(605\) | −4.62701 | + | 9.21737i | −0.188115 | + | 0.374740i | ||||
\(606\) | 1.21415 | + | 12.0261i | 0.0493214 | + | 0.488528i | ||||
\(607\) | 4.54350 | + | 0.477541i | 0.184415 | + | 0.0193828i | 0.196286 | − | 0.980547i | \(-0.437112\pi\) |
−0.0118708 | + | 0.999930i | \(0.503779\pi\) | |||||||
\(608\) | −5.22603 | − | 24.5865i | −0.211943 | − | 0.997115i | ||||
\(609\) | 2.19046 | + | 4.97467i | 0.0887620 | + | 0.201584i | ||||
\(610\) | −1.53188 | − | 14.5749i | −0.0620239 | − | 0.590118i | ||||
\(611\) | 0.152805 | − | 0.111019i | 0.00618182 | − | 0.00449135i | ||||
\(612\) | −6.29433 | − | 0.0516345i | −0.254433 | − | 0.00208720i | ||||
\(613\) | −37.1400 | − | 12.0675i | −1.50007 | − | 0.487402i | −0.560032 | − | 0.828471i | \(-0.689211\pi\) |
−0.940038 | + | 0.341069i | \(0.889211\pi\) | |||||||
\(614\) | −8.25122 | − | 18.5326i | −0.332992 | − | 0.747913i | ||||
\(615\) | −3.42006 | − | 4.74814i | −0.137910 | − | 0.191463i | ||||
\(616\) | −7.56185 | − | 4.60275i | −0.304676 | − | 0.185450i | ||||
\(617\) | 27.0174 | − | 15.5985i | 1.08768 | − | 0.627972i | 0.154722 | − | 0.987958i | \(-0.450552\pi\) |
0.932958 | + | 0.359986i | \(0.117218\pi\) | |||||||
\(618\) | 3.95067 | + | 6.90804i | 0.158919 | + | 0.277882i | ||||
\(619\) | 21.5628 | + | 23.9480i | 0.866684 | + | 0.962550i | 0.999592 | − | 0.0285782i | \(-0.00909797\pi\) |
−0.132907 | + | 0.991128i | \(0.542431\pi\) | |||||||
\(620\) | −3.81077 | + | 1.23819i | −0.153044 | + | 0.0497270i | ||||
\(621\) | −12.2128 | − | 1.43576i | −0.490084 | − | 0.0576151i | ||||
\(622\) | 7.45109 | + | 10.2556i | 0.298762 | + | 0.411210i | ||||
\(623\) | −7.87293 | − | 1.67344i | −0.315422 | − | 0.0670451i | ||||
\(624\) | −3.32816 | − | 3.02150i | −0.133233 | − | 0.120957i | ||||
\(625\) | −1.31565 | + | 12.5176i | −0.0526260 | + | 0.500703i | ||||
\(626\) | 2.24709 | + | 3.89207i | 0.0898117 | + | 0.155558i | ||||
\(627\) | −35.0438 | + | 18.9773i | −1.39951 | + | 0.757882i | ||||
\(628\) | −0.986830 | + | 1.70924i | −0.0393788 | + | 0.0682061i | ||||
\(629\) | 20.1453 | + | 14.6365i | 0.803248 | + | 0.583594i | ||||
\(630\) | 0.316484 | − | 2.79074i | 0.0126090 | − | 0.111186i | ||||
\(631\) | −0.555911 | − | 1.71092i | −0.0221305 | − | 0.0681105i | 0.939381 | − | 0.342874i | \(-0.111400\pi\) |
−0.961512 | + | 0.274764i | \(0.911400\pi\) | |||||||
\(632\) | −23.1137 | + | 2.42935i | −0.919413 | + | 0.0966342i | ||||
\(633\) | −30.3664 | + | 27.1173i | −1.20696 | + | 1.07782i | ||||
\(634\) | −18.4923 | − | 16.6505i | −0.734422 | − | 0.661277i | ||||
\(635\) | 5.82750 | − | 1.23867i | 0.231257 | − | 0.0491553i | ||||
\(636\) | 9.78765 | + | 5.70455i | 0.388105 | + | 0.226200i | ||||
\(637\) | −6.38142 | − | 3.68432i | −0.252841 | − | 0.145978i | ||||
\(638\) | 13.5922 | − | 2.56138i | 0.538120 | − | 0.101406i | ||||
\(639\) | 24.9866 | − | 22.1296i | 0.988456 | − | 0.875435i | ||||
\(640\) | 1.45023 | − | 1.99606i | 0.0573252 | − | 0.0789014i | ||||
\(641\) | −5.72635 | + | 5.15603i | −0.226177 | + | 0.203651i | −0.774426 | − | 0.632664i | \(-0.781961\pi\) |
0.548249 | + | 0.836315i | \(0.315295\pi\) | |||||||
\(642\) | 9.89992 | + | 7.25494i | 0.390719 | + | 0.286330i | ||||
\(643\) | 19.3802 | + | 8.62864i | 0.764282 | + | 0.340280i | 0.751582 | − | 0.659639i | \(-0.229291\pi\) |
0.0126994 | + | 0.999919i | \(0.495958\pi\) | |||||||
\(644\) | 1.26140 | + | 0.561610i | 0.0497060 | + | 0.0221305i | ||||
\(645\) | −0.675719 | + | 6.18491i | −0.0266064 | + | 0.243530i | ||||
\(646\) | −18.5124 | + | 16.6687i | −0.728362 | + | 0.655820i | ||||
\(647\) | 29.4465 | − | 40.5296i | 1.15766 | − | 1.59338i | 0.438150 | − | 0.898902i | \(-0.355634\pi\) |
0.719511 | − | 0.694482i | \(-0.244366\pi\) | |||||||
\(648\) | 3.34851 | − | 27.5095i | 0.131542 | − | 1.08068i | ||||
\(649\) | −20.9803 | − | 19.7902i | −0.823548 | − | 0.776834i | ||||
\(650\) | −4.84786 | − | 2.79891i | −0.190149 | − | 0.109782i | ||||
\(651\) | −8.27505 | + | 4.73246i | −0.324325 | + | 0.185480i | ||||
\(652\) | −14.4965 | + | 3.08133i | −0.567727 | + | 0.120674i | ||||
\(653\) | 13.0919 | + | 11.7880i | 0.512324 | + | 0.461299i | 0.884284 | − | 0.466950i | \(-0.154647\pi\) |
−0.371959 | + | 0.928249i | \(0.621314\pi\) | |||||||
\(654\) | 32.0942 | + | 10.5738i | 1.25498 | + | 0.413467i | ||||
\(655\) | 16.2005 | − | 1.70274i | 0.633006 | − | 0.0665316i | ||||
\(656\) | −2.45053 | − | 7.54197i | −0.0956772 | − | 0.294464i | ||||
\(657\) | −4.15308 | − | 9.53778i | −0.162027 | − | 0.372104i | ||||
\(658\) | 0.129387 | + | 0.0940050i | 0.00504402 | + | 0.00366470i | ||||
\(659\) | −10.5664 | + | 18.3016i | −0.411609 | + | 0.712928i | −0.995066 | − | 0.0992163i | \(-0.968366\pi\) |
0.583457 | + | 0.812144i | \(0.301700\pi\) | |||||||
\(660\) | 3.41602 | + | 1.21391i | 0.132968 | + | 0.0472513i | ||||
\(661\) | 5.51647 | + | 9.55480i | 0.214566 | + | 0.371639i | 0.953138 | − | 0.302535i | \(-0.0978331\pi\) |
−0.738572 | + | 0.674174i | \(0.764500\pi\) | |||||||
\(662\) | 0.825043 | − | 7.84976i | 0.0320662 | − | 0.305090i | ||||
\(663\) | 1.34931 | − | 6.22242i | 0.0524030 | − | 0.241659i | ||||
\(664\) | −43.4588 | − | 9.23744i | −1.68653 | − | 0.358482i | ||||
\(665\) | 3.31411 | + | 4.56147i | 0.128515 | + | 0.176886i | ||||
\(666\) | −18.6390 | + | 20.3623i | −0.722246 | + | 0.789023i | ||||
\(667\) | −8.14837 | + | 2.64757i | −0.315506 | + | 0.102514i | ||||
\(668\) | −0.290375 | − | 0.322494i | −0.0112350 | − | 0.0124777i | ||||
\(669\) | −36.1978 | − | 0.148469i | −1.39949 | − | 0.00574014i | ||||
\(670\) | 6.21341 | − | 3.58731i | 0.240045 | − | 0.138590i | ||||
\(671\) | 44.8543 | − | 3.66560i | 1.73158 | − | 0.141509i | ||||
\(672\) | −2.23298 | + | 4.96050i | −0.0861390 | + | 0.191355i | ||||
\(673\) | −12.6507 | − | 28.4139i | −0.487648 | − | 1.09527i | −0.975027 | − | 0.222084i | \(-0.928714\pi\) |
0.487380 | − | 0.873190i | \(-0.337953\pi\) | |||||||
\(674\) | −0.809780 | − | 0.263113i | −0.0311915 | − | 0.0101347i | ||||
\(675\) | −1.97606 | − | 21.3215i | −0.0760586 | − | 0.820666i | ||||
\(676\) | 6.32175 | − | 4.59302i | 0.243144 | − | 0.176655i | ||||
\(677\) | −2.23241 | − | 21.2400i | −0.0857986 | − | 0.816319i | −0.949806 | − | 0.312840i | \(-0.898720\pi\) |
0.864007 | − | 0.503479i | \(-0.167947\pi\) | |||||||
\(678\) | −15.8789 | − | 1.73481i | −0.609825 | − | 0.0666251i | ||||
\(679\) | 2.19566 | + | 10.3298i | 0.0842618 | + | 0.396421i | ||||
\(680\) | 8.95027 | + | 0.940711i | 0.343227 | + | 0.0360746i | ||||
\(681\) | 16.6929 | − | 12.0238i | 0.639672 | − | 0.460752i | ||||
\(682\) | 6.95914 | + | 23.2373i | 0.266479 | + | 0.889804i | ||||
\(683\) | − | 17.2570i | − | 0.660321i | −0.943925 | − | 0.330161i | \(-0.892897\pi\) | ||
0.943925 | − | 0.330161i | \(-0.107103\pi\) | |||||||
\(684\) | 8.14069 | + | 11.4002i | 0.311267 | + | 0.435898i | ||||
\(685\) | −5.12846 | + | 15.7838i | −0.195949 | + | 0.603068i | ||||
\(686\) | 2.75046 | − | 12.9399i | 0.105013 | − | 0.494048i | ||||
\(687\) | 11.3072 | + | 12.6619i | 0.431395 | + | 0.483083i | ||||
\(688\) | −3.42945 | + | 7.70266i | −0.130746 | + | 0.293661i | ||||
\(689\) | −7.66769 | + | 8.51583i | −0.292116 | + | 0.324427i | ||||
\(690\) | 4.32648 | + | 0.938184i | 0.164706 | + | 0.0357161i | ||||
\(691\) | 19.1427 | − | 8.52287i | 0.728222 | − | 0.324225i | −0.00892294 | − | 0.999960i | \(-0.502840\pi\) |
0.737145 | + | 0.675735i | \(0.236174\pi\) | |||||||
\(692\) | 9.08243 | 0.345262 | ||||||||
\(693\) | 8.54513 | + | 1.17024i | 0.324603 | + | 0.0444537i | ||||
\(694\) | −13.7130 | −0.520539 | ||||||||
\(695\) | −5.29247 | + | 2.35636i | −0.200755 | + | 0.0893818i | ||||
\(696\) | −5.89123 | − | 18.3876i | −0.223306 | − | 0.696980i | ||||
\(697\) | 7.51596 | − | 8.34732i | 0.284687 | − | 0.316177i | ||||
\(698\) | −4.77289 | + | 10.7201i | −0.180657 | + | 0.405761i | ||||
\(699\) | 26.4556 | − | 5.50999i | 1.00064 | − | 0.208407i | ||||
\(700\) | −0.499896 | + | 2.35182i | −0.0188943 | + | 0.0888906i | ||||
\(701\) | −15.1348 | + | 46.5802i | −0.571634 | + | 1.75931i | 0.0757293 | + | 0.997128i | \(0.475872\pi\) |
−0.647364 | + | 0.762181i | \(0.724128\pi\) | |||||||
\(702\) | 6.68561 | + | 2.26360i | 0.252332 | + | 0.0854343i | ||||
\(703\) | − | 55.4168i | − | 2.09008i | ||||||
\(704\) | 22.6155 | + | 17.2459i | 0.852353 | + | 0.649978i | ||||
\(705\) | −0.237183 | − | 0.106769i | −0.00893283 | − | 0.00402113i | ||||
\(706\) | 36.0753 | + | 3.79167i | 1.35771 | + | 0.142701i | ||||
\(707\) | 1.09184 | + | 5.13672i | 0.0410630 | + | 0.193186i | ||||
\(708\) | −5.99254 | + | 8.17728i | −0.225213 | + | 0.307321i | ||||
\(709\) | −4.34336 | − | 41.3243i | −0.163118 | − | 1.55197i | −0.703591 | − | 0.710605i | \(-0.748421\pi\) |
0.540473 | − | 0.841362i | \(-0.318245\pi\) | |||||||
\(710\) | −9.72133 | + | 7.06296i | −0.364835 | + | 0.265068i | ||||
\(711\) | 19.7020 | − | 11.1605i | 0.738882 | − | 0.418550i | ||||
\(712\) | 27.1917 | + | 8.83513i | 1.01905 | + | 0.331111i | ||||
\(713\) | −6.11151 | − | 13.7267i | −0.228878 | − | 0.514068i | ||||
\(714\) | 5.36399 | − | 0.541544i | 0.200742 | − | 0.0202668i | ||||
\(715\) | −1.90663 | + | 3.13240i | −0.0713039 | + | 0.117145i | ||||
\(716\) | 0.651774 | − | 0.376302i | 0.0243579 | − | 0.0140631i | ||||
\(717\) | 26.1426 | − | 44.8544i | 0.976312 | − | 1.67512i | ||||
\(718\) | −21.3912 | − | 23.7573i | −0.798311 | − | 0.886614i | ||||
\(719\) | 27.4285 | − | 8.91207i | 1.02291 | − | 0.332364i | 0.250927 | − | 0.968006i | \(-0.419264\pi\) |
0.771984 | + | 0.635642i | \(0.219264\pi\) | |||||||
\(720\) | −1.33667 | + | 6.04429i | −0.0498147 | + | 0.225257i | ||||
\(721\) | 2.03223 | + | 2.79713i | 0.0756843 | + | 0.104170i | ||||
\(722\) | 32.8193 | + | 6.97595i | 1.22141 | + | 0.259618i | ||||
\(723\) | −3.13032 | + | 1.00293i | −0.116418 | + | 0.0372992i | ||||
\(724\) | 1.63406 | − | 15.5471i | 0.0607294 | − | 0.577802i | ||||
\(725\) | −7.45956 | − | 12.9203i | −0.277041 | − | 0.479849i | ||||
\(726\) | 7.82613 | − | 20.5042i | 0.290455 | − | 0.760981i | ||||
\(727\) | −9.19217 | + | 15.9213i | −0.340919 | + | 0.590489i | −0.984604 | − | 0.174802i | \(-0.944071\pi\) |
0.643685 | + | 0.765291i | \(0.277405\pi\) | |||||||
\(728\) | −2.54643 | − | 1.85009i | −0.0943770 | − | 0.0685689i | ||||
\(729\) | 7.70906 | + | 25.8761i | 0.285521 | + | 0.958373i | ||||
\(730\) | 1.15730 | + | 3.56181i | 0.0428336 | + | 0.131828i | ||||
\(731\) | −11.8774 | + | 1.24836i | −0.439301 | + | 0.0461724i | ||||
\(732\) | −3.22550 | − | 15.4869i | −0.119218 | − | 0.572412i | ||||
\(733\) | 23.4498 | + | 21.1143i | 0.866137 | + | 0.779873i | 0.976838 | − | 0.213981i | \(-0.0686429\pi\) |
−0.110701 | + | 0.993854i | \(0.535310\pi\) | |||||||
\(734\) | 19.0262 | − | 4.04415i | 0.702271 | − | 0.149272i | ||||
\(735\) | −0.0416205 | + | 10.1474i | −0.00153520 | + | 0.374293i | ||||
\(736\) | −7.42577 | − | 4.28727i | −0.273718 | − | 0.158031i | ||||
\(737\) | 10.5710 | + | 19.3307i | 0.389386 | + | 0.712055i | ||||
\(738\) | 8.25592 | + | 9.32178i | 0.303904 | + | 0.343139i | ||||
\(739\) | −26.9990 | + | 37.1609i | −0.993173 | + | 1.36698i | −0.0637507 | + | 0.997966i | \(0.520306\pi\) |
−0.929422 | + | 0.369019i | \(0.879694\pi\) | |||||||
\(740\) | −3.74632 | + | 3.37320i | −0.137717 | + | 0.124001i | ||||
\(741\) | −12.9682 | + | 5.71020i | −0.476399 | + | 0.209770i | ||||
\(742\) | −8.86414 | − | 3.94657i | −0.325413 | − | 0.144883i | ||||
\(743\) | 19.8392 | + | 8.83298i | 0.727830 | + | 0.324051i | 0.736987 | − | 0.675907i | \(-0.236248\pi\) |
−0.00915685 | + | 0.999958i | \(0.502915\pi\) | |||||||
\(744\) | 30.9909 | − | 13.6460i | 1.13618 | − | 0.500286i | ||||
\(745\) | 5.14334 | − | 4.63109i | 0.188437 | − | 0.169670i | ||||
\(746\) | −4.06871 | + | 5.60010i | −0.148966 | + | 0.205034i | ||||
\(747\) | 42.4137 | − | 8.65229i | 1.55184 | − | 0.316571i | ||||
\(748\) | −0.887605 | + | 6.90204i | −0.0324541 | + | 0.252364i | ||||
\(749\) | 4.61805 | + | 2.66623i | 0.168740 | + | 0.0974220i | ||||
\(750\) | −0.0699817 | + | 17.0621i | −0.00255537 | + | 0.623019i | ||||
\(751\) | −16.6365 | + | 3.53621i | −0.607076 | + | 0.129038i | −0.501186 | − | 0.865340i | \(-0.667103\pi\) |
−0.105890 | + | 0.994378i | \(0.533769\pi\) | |||||||
\(752\) | −0.261954 | − | 0.235865i | −0.00955249 | − | 0.00860110i | ||||
\(753\) | 0.958511 | + | 4.60218i | 0.0349301 | + | 0.167713i | ||||
\(754\) | 4.89090 | − | 0.514055i | 0.178116 | − | 0.0187208i | ||||
\(755\) | 3.90677 | + | 12.0238i | 0.142182 | + | 0.437591i | ||||
\(756\) | 0.0373035 | − | 3.03149i | 0.00135671 | − | 0.110254i | ||||
\(757\) | −18.8951 | − | 13.7281i | −0.686756 | − | 0.498957i | 0.188836 | − | 0.982009i | \(-0.439528\pi\) |
−0.875592 | + | 0.483051i | \(0.839528\pi\) | |||||||
\(758\) | −4.90028 | + | 8.48753i | −0.177986 | + | 0.308281i | ||||
\(759\) | −3.18818 | + | 13.2157i | −0.115724 | + | 0.479698i | ||||
\(760\) | −10.0142 | − | 17.3451i | −0.363253 | − | 0.629173i | ||||
\(761\) | 2.12166 | − | 20.1862i | 0.0769101 | − | 0.731750i | −0.886320 | − | 0.463073i | \(-0.846747\pi\) |
0.963230 | − | 0.268677i | \(-0.0865866\pi\) | |||||||
\(762\) | −12.0733 | + | 3.86818i | −0.437369 | + | 0.140129i | ||||
\(763\) | 14.3602 | + | 3.05236i | 0.519876 | + | 0.110503i | ||||
\(764\) | 1.18346 | + | 1.62889i | 0.0428159 | + | 0.0589310i | ||||
\(765\) | −8.36097 | + | 2.64102i | −0.302291 | + | 0.0954861i | ||||
\(766\) | −11.0916 | + | 3.60388i | −0.400755 | + | 0.130213i | ||||
\(767\) | −6.86175 | − | 7.62074i | −0.247763 | − | 0.275169i | ||||
\(768\) | 12.3143 | − | 21.1285i | 0.444356 | − | 0.762408i | ||||
\(769\) | 20.3619 | − | 11.7559i | 0.734268 | − | 0.423930i | −0.0857137 | − | 0.996320i | \(-0.527317\pi\) |
0.819981 | + | 0.572390i | \(0.193984\pi\) | |||||||
\(770\) | −3.02142 | − | 0.715795i | −0.108884 | − | 0.0257954i | ||||
\(771\) | 14.6858 | − | 1.48266i | 0.528895 | − | 0.0533968i | ||||
\(772\) | 2.70758 | + | 6.08133i | 0.0974481 | + | 0.218872i | ||||
\(773\) | −12.8627 | − | 4.17933i | −0.462638 | − | 0.150320i | 0.0684183 | − | 0.997657i | \(-0.478205\pi\) |
−0.531056 | + | 0.847337i | \(0.678205\pi\) | |||||||
\(774\) | 0.108606 | − | 13.2392i | 0.00390374 | − | 0.475873i | ||||
\(775\) | 21.1676 | − | 15.3792i | 0.760362 | − | 0.552436i | ||||
\(776\) | −3.92121 | − | 37.3078i | −0.140763 | − | 1.33927i | ||||
\(777\) | −7.08926 | + | 9.67385i | −0.254326 | + | 0.347047i | ||||
\(778\) | −2.23494 | − | 10.5146i | −0.0801264 | − | 0.376965i | ||||
\(779\) | −24.8606 | − | 2.61296i | −0.890725 | − | 0.0936189i | ||||
\(780\) | 1.17539 | + | 0.529106i | 0.0420859 | + | 0.0189450i | ||||
\(781\) | −20.9916 | − | 30.3475i | −0.751140 | − | 1.08592i | ||||
\(782\) | 8.49784i | 0.303882i | ||||||||
\(783\) | 12.4146 | + | 14.1337i | 0.443662 | + | 0.505099i | ||||
\(784\) | −4.24954 | + | 13.0787i | −0.151769 | + | 0.467098i | ||||
\(785\) | −0.571605 | + | 2.68919i | −0.0204014 | + | 0.0959812i | ||||
\(786\) | −33.9359 | + | 7.06795i | −1.21045 | + | 0.252105i | ||||
\(787\) | −18.8489 | + | 42.3354i | −0.671892 | + | 1.50909i | 0.179053 | + | 0.983839i | \(0.442697\pi\) |
−0.850945 | + | 0.525254i | \(0.823970\pi\) | |||||||
\(788\) | −2.22745 | + | 2.47383i | −0.0793496 | + | 0.0881267i | ||||
\(789\) | −12.6054 | − | 39.3439i | −0.448765 | − | 1.40068i | ||||
\(790\) | −7.44710 | + | 3.31566i | −0.264956 | + | 0.117966i | ||||
\(791\) | −6.93985 | −0.246753 | ||||||||
\(792\) | −29.7533 | − | 7.30703i | −1.05724 | − | 0.259644i | ||||
\(793\) | 16.0014 | 0.568226 | ||||||||
\(794\) | 10.8735 | − | 4.84119i | 0.385886 | − | 0.171807i | ||||
\(795\) | 15.4222 | + | 3.34427i | 0.546970 | + | 0.118609i | ||||
\(796\) | 3.44483 | − | 3.82587i | 0.122099 | − | 0.135605i | ||||
\(797\) | −19.8250 | + | 44.5277i | −0.702238 | + | 1.57725i | 0.110005 | + | 0.993931i | \(0.464913\pi\) |
−0.812242 | + | 0.583320i | \(0.801753\pi\) | |||||||
\(798\) | −7.99169 | − | 8.94922i | −0.282903 | − | 0.316799i | ||||
\(799\) | 0.103807 | − | 0.488373i | 0.00367243 | − | 0.0172774i | ||||
\(800\) | 4.61394 | − | 14.2003i | 0.163127 | − | 0.502055i | ||||
\(801\) | −27.7263 | + | 2.68439i | −0.979660 | + | 0.0948482i | ||||
\(802\) | 17.0865i | 0.603345i | ||||||||
\(803\) | −11.0172 | + | 3.29945i | −0.388790 | + | 0.116435i | ||||
\(804\) | 6.28407 | − | 4.52638i | 0.221622 | − | 0.159633i | ||||
\(805\) | 1.91285 | + | 0.201048i | 0.0674190 | + | 0.00708603i | ||||
\(806\) | 1.79318 | + | 8.43626i | 0.0631622 | + | 0.297155i | ||||
\(807\) | −41.4247 | − | 4.52577i | −1.45822 | − | 0.159315i | ||||
\(808\) | −1.94991 | − | 18.5522i | −0.0685976 | − | 0.652663i | ||||
\(809\) | −4.11235 | + | 2.98780i | −0.144583 | + | 0.105045i | −0.657725 | − | 0.753258i | \(-0.728481\pi\) |
0.513143 | + | 0.858303i | \(0.328481\pi\) | |||||||
\(810\) | −1.86471 | − | 9.53975i | −0.0655191 | − | 0.335193i | ||||
\(811\) | 5.95516 | + | 1.93495i | 0.209114 | + | 0.0679453i | 0.411701 | − | 0.911319i | \(-0.364935\pi\) |
−0.202587 | + | 0.979264i | \(0.564935\pi\) | |||||||
\(812\) | −0.859150 | − | 1.92968i | −0.0301503 | − | 0.0677186i | ||||
\(813\) | 9.18513 | − | 20.4045i | 0.322137 | − | 0.715617i | ||||
\(814\) | 19.8897 | + | 23.1468i | 0.697134 | + | 0.811296i | ||||
\(815\) | −17.8786 | + | 10.3222i | −0.626261 | + | 0.361572i | ||||
\(816\) | −11.8825 | − | 0.0487370i | −0.415969 | − | 0.00170614i | ||||
\(817\) | 17.7845 | + | 19.7517i | 0.622201 | + | 0.691024i | ||||
\(818\) | −9.57054 | + | 3.10966i | −0.334626 | + | 0.108727i | ||||
\(819\) | 2.99428 | + | 0.662173i | 0.104629 | + | 0.0231382i | ||||
\(820\) | 1.33661 | + | 1.83969i | 0.0466766 | + | 0.0642448i | ||||
\(821\) | 33.6266 | + | 7.14756i | 1.17358 | + | 0.249451i | 0.753134 | − | 0.657868i | \(-0.228541\pi\) |
0.420443 | + | 0.907319i | \(0.361875\pi\) | |||||||
\(822\) | 7.48423 | − | 34.5139i | 0.261043 | − | 1.20381i | ||||
\(823\) | −1.10426 | + | 10.5063i | −0.0384921 | + | 0.366228i | 0.958273 | + | 0.285855i | \(0.0922776\pi\) |
−0.996765 | + | 0.0803725i | \(0.974389\pi\) | |||||||
\(824\) | −6.14077 | − | 10.6361i | −0.213924 | − | 0.370527i | ||||
\(825\) | −23.6641 | − | 0.645720i | −0.823877 | − | 0.0224811i | ||||
\(826\) | 4.34157 | − | 7.51982i | 0.151063 | − | 0.261648i | ||||
\(827\) | −22.4299 | − | 16.2963i | −0.779965 | − | 0.566678i | 0.125004 | − | 0.992156i | \(-0.460106\pi\) |
−0.904969 | + | 0.425479i | \(0.860106\pi\) | |||||||
\(828\) | 4.74824 | + | 0.538475i | 0.165013 | + | 0.0187133i | ||||
\(829\) | 7.49749 | + | 23.0749i | 0.260399 | + | 0.801425i | 0.992718 | + | 0.120463i | \(0.0384379\pi\) |
−0.732319 | + | 0.680962i | \(0.761562\pi\) | |||||||
\(830\) | −15.4985 | + | 1.62896i | −0.537960 | + | 0.0565419i | ||||
\(831\) | 10.9792 | + | 3.61722i | 0.380866 | + | 0.125480i | ||||
\(832\) | 7.51490 | + | 6.76645i | 0.260532 | + | 0.234584i | ||||
\(833\) | −19.0528 | + | 4.04980i | −0.660141 | + | 0.140317i | ||||
\(834\) | 10.7016 | − | 6.12019i | 0.370566 | − | 0.211925i | ||||
\(835\) | −0.523508 | − | 0.302248i | −0.0181168 | − | 0.0104597i | ||||
\(836\) | 13.5879 | − | 7.43051i | 0.469947 | − | 0.256990i | ||||
\(837\) | −22.3756 | + | 24.2440i | −0.773414 | + | 0.837994i | ||||
\(838\) | −23.8144 | + | 32.7778i | −0.822656 | + | 1.13229i | ||||
\(839\) | −16.1480 | + | 14.5397i | −0.557492 | + | 0.501968i | −0.899022 | − | 0.437903i | \(-0.855721\pi\) |
0.341531 | + | 0.939871i | \(0.389055\pi\) | |||||||
\(840\) | −0.470763 | + | 4.30893i | −0.0162429 | + | 0.148672i | ||||
\(841\) | −14.5191 | − | 6.46433i | −0.500659 | − | 0.222908i | ||||
\(842\) | −1.67888 | − | 0.747486i | −0.0578580 | − | 0.0257601i | ||||
\(843\) | 0.857443 | + | 0.628358i | 0.0295319 | + | 0.0216418i | ||||
\(844\) | 11.7573 | − | 10.5863i | 0.404701 | − | 0.364395i | ||||
\(845\) | 6.39798 | − | 8.80607i | 0.220097 | − | 0.302938i | ||||
\(846\) | 0.524989 | + | 0.175353i | 0.0180495 | + | 0.00602877i | ||||
\(847\) | 2.41255 | − | 9.22492i | 0.0828963 | − | 0.316972i | ||||
\(848\) | 18.5207 | + | 10.6929i | 0.636003 | + | 0.367196i | ||||
\(849\) | −28.2915 | − | 16.4892i | −0.970961 | − | 0.565907i | ||||
\(850\) | −14.4741 | + | 3.07657i | −0.496458 | + | 0.105525i | ||||
\(851\) | −14.0486 | − | 12.6494i | −0.481580 | − | 0.433617i | ||||
\(852\) | −9.67462 | + | 8.63947i | −0.331447 | + | 0.295984i | ||||
\(853\) | 40.8198 | − | 4.29033i | 1.39764 | − | 0.146898i | 0.624448 | − | 0.781066i | \(-0.285324\pi\) |
0.773195 | + | 0.634168i | \(0.218657\pi\) | |||||||
\(854\) | 4.18690 | + | 12.8860i | 0.143273 | + | 0.440948i | ||||
\(855\) | 15.6921 | + | 11.5988i | 0.536657 | + | 0.396671i | ||||
\(856\) | −15.3244 | − | 11.1338i | −0.523778 | − | 0.380547i | ||||
\(857\) | −3.74660 | + | 6.48930i | −0.127981 | + | 0.221670i | −0.922894 | − | 0.385053i | \(-0.874183\pi\) |
0.794913 | + | 0.606723i | \(0.207516\pi\) | |||||||
\(858\) | 3.36719 | − | 7.03951i | 0.114954 | − | 0.240325i | ||||
\(859\) | −0.815011 | − | 1.41164i | −0.0278078 | − | 0.0481646i | 0.851787 | − | 0.523889i | \(-0.175519\pi\) |
−0.879594 | + | 0.475724i | \(0.842186\pi\) | |||||||
\(860\) | 0.252729 | − | 2.40455i | 0.00861798 | − | 0.0819946i | ||||
\(861\) | 4.00554 | + | 3.63646i | 0.136508 | + | 0.123930i | ||||
\(862\) | 33.2390 | + | 7.06517i | 1.13212 | + | 0.240641i | ||||
\(863\) | −11.2828 | − | 15.5294i | −0.384070 | − | 0.528626i | 0.572587 | − | 0.819844i | \(-0.305940\pi\) |
−0.956657 | + | 0.291217i | \(0.905940\pi\) | |||||||
\(864\) | −2.19818 | + | 18.6981i | −0.0747835 | + | 0.636122i | ||||
\(865\) | 12.0324 | − | 3.90957i | 0.409114 | − | 0.132929i | ||||
\(866\) | 8.83459 | + | 9.81180i | 0.300211 | + | 0.333419i | ||||
\(867\) | 6.26216 | + | 10.9499i | 0.212674 | + | 0.371877i | ||||
\(868\) | 3.20817 | − | 1.85224i | 0.108892 | − | 0.0628690i | ||||
\(869\) | −9.64917 | − | 23.0988i | −0.327326 | − | 0.783574i | ||||
\(870\) | −3.95824 | − | 5.49531i | −0.134197 | − | 0.186309i | ||||
\(871\) | 3.18625 | + | 7.15644i | 0.107962 | + | 0.242487i | ||||
\(872\) | −49.5978 | − | 16.1153i | −1.67959 | − | 0.545733i | ||||
\(873\) | 18.0141 | + | 31.8010i | 0.609685 | + | 1.07630i | ||||
\(874\) | 15.3000 | − | 11.1161i | 0.517529 | − | 0.376007i | ||||
\(875\) | 0.774861 | + | 7.37231i | 0.0261951 | + | 0.249230i | ||||
\(876\) | 1.62910 | + | 3.69980i | 0.0550424 | + | 0.125004i | ||||
\(877\) | 11.6826 | + | 54.9624i | 0.394494 | + | 1.85595i | 0.506500 | + | 0.862240i | \(0.330939\pi\) |
−0.112006 | + | 0.993708i | \(0.535728\pi\) | |||||||
\(878\) | −3.48016 | − | 0.365779i | −0.117450 | − | 0.0123444i | ||||
\(879\) | 0.365846 | + | 3.62371i | 0.0123397 | + | 0.122225i | ||||
\(880\) | 6.45795 | + | 2.26509i | 0.217697 | + | 0.0763561i | ||||
\(881\) | 16.2929i | 0.548922i | 0.961598 | + | 0.274461i | \(0.0884994\pi\) | ||||
−0.961598 | + | 0.274461i | \(0.911501\pi\) | |||||||
\(882\) | −2.08091 | − | 21.4931i | −0.0700678 | − | 0.723711i | ||||
\(883\) | −9.20073 | + | 28.3169i | −0.309629 | + | 0.952941i | 0.668280 | + | 0.743910i | \(0.267031\pi\) |
−0.977909 | + | 0.209031i | \(0.932969\pi\) | |||||||
\(884\) | −0.514430 | + | 2.42020i | −0.0173021 | + | 0.0814002i | ||||
\(885\) | −4.41898 | + | 13.4128i | −0.148542 | + | 0.450866i | ||||
\(886\) | 7.75504 | − | 17.4181i | 0.260536 | − | 0.585173i | ||||
\(887\) | −0.755720 | + | 0.839312i | −0.0253746 | + | 0.0281813i | −0.755699 | − | 0.654920i | \(-0.772702\pi\) |
0.730324 | + | 0.683101i | \(0.239369\pi\) | |||||||
\(888\) | 28.6366 | − | 31.5430i | 0.960980 | − | 1.05851i | ||||
\(889\) | −5.03186 | + | 2.24033i | −0.168763 | + | 0.0751382i | ||||
\(890\) | 10.0284 | 0.336154 | ||||||||
\(891\) | 29.4201 | − | 5.04575i | 0.985609 | − | 0.169039i | ||||
\(892\) | 14.0668 | 0.470992 | ||||||||
\(893\) | −1.01508 | + | 0.451944i | −0.0339685 | + | 0.0151237i | ||||
\(894\) | −9.89965 | + | 10.9044i | −0.331094 | + | 0.364698i | ||||
\(895\) | 0.701490 | − | 0.779084i | 0.0234482 | − | 0.0260419i | ||||
\(896\) | −0.927792 | + | 2.08386i | −0.0309954 | + | 0.0696167i | ||||
\(897\) | −1.51254 | + | 4.59096i | −0.0505022 | + | 0.153288i | ||||
\(898\) | 0.0622451 | − | 0.292840i | 0.00207715 | − | 0.00977221i | ||||
\(899\) | −7.10316 | + | 21.8613i | −0.236904 | + | 0.729114i | ||||
\(900\) | 0.801887 | + | 8.28247i | 0.0267296 | + | 0.276082i | ||||
\(901\) | 30.2916i | 1.00916i | ||||||||
\(902\) | 11.3218 | − | 7.83136i | 0.376973 | − | 0.260756i | ||||
\(903\) | −0.577795 | − | 5.72306i | −0.0192278 | − | 0.190451i | ||||
\(904\) | 24.5168 | + | 2.57682i | 0.815415 | + | 0.0857036i | ||||
\(905\) | −4.52749 | − | 21.3002i | −0.150499 | − | 0.708041i | ||||
\(906\) | −10.8416 | − | 24.6219i | −0.360188 | − | 0.818008i | ||||
\(907\) | −2.78736 | − | 26.5200i | −0.0925528 | − | 0.880581i | −0.938026 | − | 0.346564i | \(-0.887348\pi\) |
0.845473 | − | 0.534017i | \(-0.179318\pi\) | |||||||
\(908\) | −6.46774 | + | 4.69909i | −0.214639 | + | 0.155945i | ||||
\(909\) | 8.95793 | + | 15.8138i | 0.297116 | + | 0.524509i | ||||
\(910\) | −1.04998 | − | 0.341161i | −0.0348066 | − | 0.0113094i | ||||
\(911\) | 1.59377 | + | 3.57967i | 0.0528040 | + | 0.118600i | 0.938021 | − | 0.346579i | \(-0.112657\pi\) |
−0.885217 | + | 0.465179i | \(0.845990\pi\) | |||||||
\(912\) | 15.4558 | + | 21.4576i | 0.511792 | + | 0.710531i | ||||
\(913\) | −3.89790 | − | 47.6968i | −0.129002 | − | 1.57853i | ||||
\(914\) | 5.42679 | − | 3.13316i | 0.179502 | − | 0.103636i | ||||
\(915\) | −10.9395 | − | 19.1286i | −0.361650 | − | 0.632372i | ||||
\(916\) | −4.41418 | − | 4.90245i | −0.145849 | − | 0.161981i | ||||
\(917\) | −14.3232 | + | 4.65390i | −0.472994 | + | 0.153685i | ||||
\(918\) | 17.1374 | − | 7.37877i | 0.565619 | − | 0.243536i | ||||
\(919\) | −7.16542 | − | 9.86236i | −0.236365 | − | 0.325329i | 0.674313 | − | 0.738446i | \(-0.264440\pi\) |
−0.910678 | + | 0.413117i | \(0.864440\pi\) | |||||||
\(920\) | −6.68296 | − | 1.42051i | −0.220331 | − | 0.0468327i | ||||
\(921\) | −22.5843 | − | 20.5034i | −0.744179 | − | 0.675609i | ||||
\(922\) | −3.53556 | + | 33.6386i | −0.116438 | + | 1.10783i | ||||
\(923\) | −6.56003 | − | 11.3623i | −0.215926 | − | 0.373995i | ||||
\(924\) | −3.32253 | − | 0.441139i | −0.109303 | − | 0.0145124i | ||||
\(925\) | 16.4592 | − | 28.5082i | 0.541175 | − | 0.937343i | ||||
\(926\) | −18.9950 | − | 13.8007i | −0.624216 | − | 0.453519i | ||||
\(927\) | 9.62248 | + | 7.11247i | 0.316044 | + | 0.233604i | ||||
\(928\) | 4.05348 | + | 12.4753i | 0.133062 | + | 0.409522i | ||||
\(929\) | −4.69450 | + | 0.493411i | −0.154021 | + | 0.0161883i | −0.181225 | − | 0.983442i | \(-0.558006\pi\) |
0.0272039 | + | 0.999630i | \(0.491340\pi\) | |||||||
\(930\) | 8.85907 | − | 7.91119i | 0.290500 | − | 0.259418i | ||||
\(931\) | 32.2146 | + | 29.0062i | 1.05579 | + | 0.950638i | ||||
\(932\) | −10.2719 | + | 2.18337i | −0.336468 | + | 0.0715186i | ||||
\(933\) | 16.4679 | + | 9.59801i | 0.539135 | + | 0.314225i | ||||
\(934\) | −0.498520 | − | 0.287821i | −0.0163121 | − | 0.00941778i | ||||
\(935\) | 1.79511 | + | 9.52591i | 0.0587064 | + | 0.311530i | ||||
\(936\) | −10.3322 | − | 3.45109i | −0.337718 | − | 0.112802i | ||||
\(937\) | −17.0091 | + | 23.4110i | −0.555662 | + | 0.764803i | −0.990767 | − | 0.135577i | \(-0.956711\pi\) |
0.435105 | + | 0.900380i | \(0.356711\pi\) | |||||||
\(938\) | −4.92939 | + | 4.43845i | −0.160950 | + | 0.144920i | ||||
\(939\) | 5.45064 | + | 3.99438i | 0.177875 | + | 0.130352i | ||||
\(940\) | 0.0923403 | + | 0.0411126i | 0.00301181 | + | 0.00134094i | ||||
\(941\) | −52.0454 | − | 23.1721i | −1.69663 | − | 0.755389i | −0.999251 | − | 0.0386867i | \(-0.987683\pi\) |
−0.697380 | − | 0.716702i | \(-0.745651\pi\) | |||||||
\(942\) | 0.635390 | − | 5.81577i | 0.0207021 | − | 0.189488i | ||||
\(943\) | −6.33709 | + | 5.70594i | −0.206364 | + | 0.185811i | ||||
\(944\) | −11.2490 | + | 15.4830i | −0.366125 | + | 0.503928i | ||||
\(945\) | −1.25550 | − | 4.03217i | −0.0408413 | − | 0.131167i | ||||
\(946\) | −14.5174 | − | 1.86695i | −0.472002 | − | 0.0606997i | ||||
\(947\) | 0.812966 | + | 0.469366i | 0.0264179 | + | 0.0152524i | 0.513151 | − | 0.858298i | \(-0.328478\pi\) |
−0.486733 | + | 0.873551i | \(0.661812\pi\) | |||||||
\(948\) | −7.63847 | + | 4.36840i | −0.248086 | + | 0.141879i | ||||
\(949\) | −3.99978 | + | 0.850179i | −0.129838 | + | 0.0275980i | ||||
\(950\) | 24.4729 | + | 22.0355i | 0.794005 | + | 0.714926i | ||||
\(951\) | −35.5369 | − | 11.7080i | −1.15236 | − | 0.379658i | ||||
\(952\) | −8.27479 | + | 0.869715i | −0.268187 | + | 0.0281876i | ||||
\(953\) | 3.50554 | + | 10.7889i | 0.113556 | + | 0.349488i | 0.991643 | − | 0.129012i | \(-0.0411806\pi\) |
−0.878087 | + | 0.478500i | \(0.841181\pi\) | |||||||
\(954\) | −33.3670 | − | 3.78400i | −1.08030 | − | 0.122511i | ||||
\(955\) | 2.26900 | + | 1.64853i | 0.0734232 | + | 0.0533451i | ||||
\(956\) | −10.0876 | + | 17.4722i | −0.326256 | + | 0.565092i | ||||
\(957\) | 17.1525 | − | 11.7608i | 0.554462 | − | 0.380174i | ||||
\(958\) | 6.18978 | + | 10.7210i | 0.199983 | + | 0.346380i | ||||
\(959\) | 1.60384 | − | 15.2595i | 0.0517906 | − | 0.492754i | ||||
\(960\) | 2.95119 | − | 13.6095i | 0.0952492 | − | 0.439246i | ||||
\(961\) | −9.10903 | − | 1.93619i | −0.293840 | − | 0.0624576i | ||||
\(962\) | 6.37807 | + | 8.77866i | 0.205637 | + | 0.283035i | ||||
\(963\) | 18.0196 | + | 3.98495i | 0.580674 | + | 0.128413i | ||||
\(964\) | 1.21485 | − | 0.394730i | 0.0391278 | − | 0.0127134i | ||||
\(965\) | 6.20474 | + | 6.89107i | 0.199738 | + | 0.221831i | ||||
\(966\) | −4.09288 | − | 0.0167873i | −0.131686 | − | 0.000540124i | ||||
\(967\) | 14.9869 | − | 8.65272i | 0.481948 | − | 0.278253i | −0.239280 | − | 0.970951i | \(-0.576911\pi\) |
0.721228 | + | 0.692698i | \(0.243578\pi\) | |||||||
\(968\) | −11.9482 | + | 31.6935i | −0.384030 | + | 1.01867i | ||||
\(969\) | −15.3752 | + | 34.1556i | −0.493924 | + | 1.09724i | ||||
\(970\) | −5.35181 | − | 12.0204i | −0.171836 | − | 0.385951i | ||||
\(971\) | 23.6890 | + | 7.69701i | 0.760215 | + | 0.247009i | 0.663371 | − | 0.748291i | \(-0.269125\pi\) |
0.0968441 | + | 0.995300i | \(0.469125\pi\) | |||||||
\(972\) | −3.03701 | − | 10.0432i | −0.0974122 | − | 0.322137i | ||||
\(973\) | 4.33318 | − | 3.14824i | 0.138915 | − | 0.100928i | ||||
\(974\) | −3.67534 | − | 34.9685i | −0.117766 | − | 1.12046i | ||||
\(975\) | −8.36723 | − | 0.914145i | −0.267966 | − | 0.0292761i | ||||
\(976\) | −6.20882 | − | 29.2102i | −0.198740 | − | 0.934996i | ||||
\(977\) | 7.44824 | + | 0.782841i | 0.238290 | + | 0.0250453i | 0.222921 | − | 0.974837i | \(-0.428441\pi\) |
0.0153695 | + | 0.999882i | \(0.495108\pi\) | |||||||
\(978\) | 35.6465 | − | 25.6760i | 1.13985 | − | 0.821027i | ||||
\(979\) | −0.713742 | + | 30.7876i | −0.0228113 | + | 0.983976i | ||||
\(980\) | − | 3.94338i | − | 0.125967i | ||||||
\(981\) | 50.5728 | − | 4.89633i | 1.61466 | − | 0.156328i | ||||
\(982\) | 8.92466 | − | 27.4673i | 0.284797 | − | 0.876516i | ||||
\(983\) | −1.10823 | + | 5.21382i | −0.0353471 | + | 0.166295i | −0.992281 | − | 0.124012i | \(-0.960424\pi\) |
0.956934 | + | 0.290307i | \(0.0937573\pi\) | |||||||
\(984\) | −12.8003 | − | 14.3340i | −0.408059 | − | 0.456951i | ||||
\(985\) | −1.88606 | + | 4.23615i | −0.0600948 | + | 0.134975i | ||||
\(986\) | 8.69869 | − | 9.66087i | 0.277023 | − | 0.307665i | ||||
\(987\) | 0.235014 | + | 0.0509621i | 0.00748057 | + | 0.00162214i | ||||
\(988\) | 5.03039 | − | 2.23967i | 0.160038 | − | 0.0712535i | ||||
\(989\) | 9.06669 | 0.288304 | ||||||||
\(990\) | −10.7173 | + | 0.787397i | −0.340618 | + | 0.0250251i | ||||
\(991\) | −23.5423 | −0.747846 | −0.373923 | − | 0.927460i | \(-0.621988\pi\) | ||||
−0.373923 | + | 0.927460i | \(0.621988\pi\) | |||||||
\(992\) | −21.0158 | + | 9.35684i | −0.667253 | + | 0.297080i | ||||
\(993\) | −3.62112 | − | 11.3022i | −0.114913 | − | 0.358664i | ||||
\(994\) | 7.43361 | − | 8.25586i | 0.235780 | − | 0.261860i | ||||
\(995\) | 2.91686 | − | 6.55136i | 0.0924705 | − | 0.207692i | ||||
\(996\) | −16.4683 | + | 3.42991i | −0.521819 | + | 0.108681i | ||||
\(997\) | 2.95338 | − | 13.8946i | 0.0935344 | − | 0.440045i | −0.906314 | − | 0.422606i | \(-0.861115\pi\) |
0.999848 | − | 0.0174389i | \(-0.00555125\pi\) | |||||||
\(998\) | 1.76924 | − | 5.44517i | 0.0560044 | − | 0.172364i | ||||
\(999\) | −13.3113 | + | 39.3152i | −0.421150 | + | 1.24388i |
(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 | 99.2.p.a.29.8 | ✓ | 80 | |
3.2 | odd | 2 | 297.2.t.a.62.3 | 80 | |||
9.2 | odd | 6 | 891.2.k.a.161.14 | 80 | |||
9.4 | even | 3 | 297.2.t.a.260.3 | 80 | |||
9.5 | odd | 6 | inner | 99.2.p.a.95.8 | yes | 80 | |
9.7 | even | 3 | 891.2.k.a.161.7 | 80 | |||
11.8 | odd | 10 | inner | 99.2.p.a.74.8 | yes | 80 | |
33.8 | even | 10 | 297.2.t.a.8.3 | 80 | |||
99.41 | even | 30 | inner | 99.2.p.a.41.8 | yes | 80 | |
99.52 | odd | 30 | 891.2.k.a.404.14 | 80 | |||
99.74 | even | 30 | 891.2.k.a.404.7 | 80 | |||
99.85 | odd | 30 | 297.2.t.a.206.3 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.p.a.29.8 | ✓ | 80 | 1.1 | even | 1 | trivial | |
99.2.p.a.41.8 | yes | 80 | 99.41 | even | 30 | inner | |
99.2.p.a.74.8 | yes | 80 | 11.8 | odd | 10 | inner | |
99.2.p.a.95.8 | yes | 80 | 9.5 | odd | 6 | inner | |
297.2.t.a.8.3 | 80 | 33.8 | even | 10 | |||
297.2.t.a.62.3 | 80 | 3.2 | odd | 2 | |||
297.2.t.a.206.3 | 80 | 99.85 | odd | 30 | |||
297.2.t.a.260.3 | 80 | 9.4 | even | 3 | |||
891.2.k.a.161.7 | 80 | 9.7 | even | 3 | |||
891.2.k.a.161.14 | 80 | 9.2 | odd | 6 | |||
891.2.k.a.404.7 | 80 | 99.74 | even | 30 | |||
891.2.k.a.404.14 | 80 | 99.52 | odd | 30 |