Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(347,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.347");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.cy (of order \(6\), degree \(2\), 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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(184\) |
Relative dimension: | \(92\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 347.1 | ||
Character | \(\chi\) | \(=\) | 504.347 |
Dual form | 504.2.cy.a.443.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41373 | + | 0.0369625i | −0.999658 | + | 0.0261364i | ||||
\(3\) | 1.72290 | + | 0.177799i | 0.994717 | + | 0.102653i | ||||
\(4\) | 1.99727 | − | 0.104510i | 0.998634 | − | 0.0522550i | ||||
\(5\) | 1.53459 | 0.686287 | 0.343144 | − | 0.939283i | \(-0.388508\pi\) | ||||
0.343144 | + | 0.939283i | \(0.388508\pi\) | |||||||
\(6\) | −2.44229 | − | 0.187678i | −0.997060 | − | 0.0766191i | ||||
\(7\) | 2.64302 | + | 0.120259i | 0.998966 | + | 0.0454536i | ||||
\(8\) | −2.81973 | + | 0.221573i | −0.996927 | + | 0.0783379i | ||||
\(9\) | 2.93677 | + | 0.612662i | 0.978925 | + | 0.204221i | ||||
\(10\) | −2.16949 | + | 0.0567221i | −0.686053 | + | 0.0179371i | ||||
\(11\) | 6.23714i | 1.88057i | 0.340390 | + | 0.940284i | \(0.389441\pi\) | ||||
−0.340390 | + | 0.940284i | \(0.610559\pi\) | |||||||
\(12\) | 3.45968 | + | 0.175053i | 0.998722 | + | 0.0505333i | ||||
\(13\) | −2.82718 | − | 1.63227i | −0.784118 | − | 0.452711i | 0.0537697 | − | 0.998553i | \(-0.482876\pi\) |
−0.837888 | + | 0.545843i | \(0.816210\pi\) | |||||||
\(14\) | −3.74096 | − | 0.0723211i | −0.999813 | − | 0.0193286i | ||||
\(15\) | 2.64394 | + | 0.272848i | 0.682662 | + | 0.0704491i | ||||
\(16\) | 3.97816 | − | 0.417469i | 0.994539 | − | 0.104367i | ||||
\(17\) | 3.93107 | + | 2.26960i | 0.953424 | + | 0.550460i | 0.894143 | − | 0.447782i | \(-0.147786\pi\) |
0.0592813 | + | 0.998241i | \(0.481119\pi\) | |||||||
\(18\) | −4.17445 | − | 0.757588i | −0.983928 | − | 0.178565i | ||||
\(19\) | −1.66411 | − | 2.88232i | −0.381772 | − | 0.661249i | 0.609543 | − | 0.792753i | \(-0.291353\pi\) |
−0.991316 | + | 0.131504i | \(0.958019\pi\) | |||||||
\(20\) | 3.06498 | − | 0.160380i | 0.685350 | − | 0.0358620i | ||||
\(21\) | 4.53227 | + | 0.677121i | 0.989023 | + | 0.147760i | ||||
\(22\) | −0.230540 | − | 8.81763i | −0.0491514 | − | 1.87993i | ||||
\(23\) | −7.75741 | −1.61753 | −0.808766 | − | 0.588131i | \(-0.799864\pi\) | ||||
−0.808766 | + | 0.588131i | \(0.799864\pi\) | |||||||
\(24\) | −4.89752 | − | 0.119599i | −0.999702 | − | 0.0244130i | ||||
\(25\) | −2.64505 | −0.529010 | ||||||||
\(26\) | 4.05720 | + | 2.20309i | 0.795682 | + | 0.432062i | ||||
\(27\) | 4.95084 | + | 1.57771i | 0.952790 | + | 0.303631i | ||||
\(28\) | 5.29138 | − | 0.0360326i | 0.999977 | − | 0.00680952i | ||||
\(29\) | −2.71250 | − | 4.69820i | −0.503699 | − | 0.872433i | −0.999991 | − | 0.00427697i | \(-0.998639\pi\) |
0.496291 | − | 0.868156i | \(-0.334695\pi\) | |||||||
\(30\) | −3.74790 | − | 0.288007i | −0.684270 | − | 0.0525827i | ||||
\(31\) | 5.10382 | − | 2.94669i | 0.916674 | − | 0.529242i | 0.0341013 | − | 0.999418i | \(-0.489143\pi\) |
0.882572 | + | 0.470177i | \(0.155810\pi\) | |||||||
\(32\) | −5.60861 | + | 0.737231i | −0.991471 | + | 0.130325i | ||||
\(33\) | −1.10896 | + | 10.7460i | −0.193045 | + | 1.87063i | ||||
\(34\) | −5.64136 | − | 3.06331i | −0.967486 | − | 0.525353i | ||||
\(35\) | 4.05593 | + | 0.184547i | 0.685578 | + | 0.0311942i | ||||
\(36\) | 5.92955 | + | 0.916727i | 0.988259 | + | 0.152788i | ||||
\(37\) | −1.02570 | + | 0.592187i | −0.168624 | + | 0.0973549i | −0.581937 | − | 0.813234i | \(-0.697705\pi\) |
0.413313 | + | 0.910589i | \(0.364372\pi\) | |||||||
\(38\) | 2.45914 | + | 4.01331i | 0.398924 | + | 0.651045i | ||||
\(39\) | −4.58073 | − | 3.31491i | −0.733504 | − | 0.530811i | ||||
\(40\) | −4.32712 | + | 0.340023i | −0.684178 | + | 0.0537623i | ||||
\(41\) | −5.44700 | − | 3.14483i | −0.850679 | − | 0.491140i | 0.0102008 | − | 0.999948i | \(-0.496753\pi\) |
−0.860880 | + | 0.508808i | \(0.830086\pi\) | |||||||
\(42\) | −6.43244 | − | 0.789742i | −0.992547 | − | 0.121860i | ||||
\(43\) | 0.500528 | + | 0.866939i | 0.0763298 | + | 0.132207i | 0.901664 | − | 0.432438i | \(-0.142346\pi\) |
−0.825334 | + | 0.564645i | \(0.809013\pi\) | |||||||
\(44\) | 0.651844 | + | 12.4572i | 0.0982691 | + | 1.87800i | ||||
\(45\) | 4.50673 | + | 0.940181i | 0.671824 | + | 0.140154i | ||||
\(46\) | 10.9669 | − | 0.286733i | 1.61698 | − | 0.0422765i | ||||
\(47\) | 2.68407 | − | 4.64895i | 0.391512 | − | 0.678118i | −0.601137 | − | 0.799146i | \(-0.705286\pi\) |
0.992649 | + | 0.121027i | \(0.0386189\pi\) | |||||||
\(48\) | 6.92819 | − | 0.0119440i | 0.999999 | − | 0.00172396i | ||||
\(49\) | 6.97108 | + | 0.635693i | 0.995868 | + | 0.0908132i | ||||
\(50\) | 3.73939 | − | 0.0977676i | 0.528829 | − | 0.0138264i | ||||
\(51\) | 6.36931 | + | 4.60924i | 0.891882 | + | 0.645423i | ||||
\(52\) | −5.81722 | − | 2.96461i | −0.806703 | − | 0.411118i | ||||
\(53\) | −0.0497780 | + | 0.0862181i | −0.00683754 | + | 0.0118430i | −0.869424 | − | 0.494067i | \(-0.835510\pi\) |
0.862586 | + | 0.505910i | \(0.168843\pi\) | |||||||
\(54\) | −7.05747 | − | 2.04746i | −0.960400 | − | 0.278625i | ||||
\(55\) | 9.57142i | 1.29061i | ||||||||
\(56\) | −7.47925 | + | 0.246523i | −0.999457 | + | 0.0329430i | ||||
\(57\) | −2.35462 | − | 5.26182i | −0.311877 | − | 0.696946i | ||||
\(58\) | 4.00841 | + | 6.54172i | 0.526330 | + | 0.858970i | ||||
\(59\) | 4.24167 | − | 2.44893i | 0.552219 | − | 0.318824i | −0.197797 | − | 0.980243i | \(-0.563379\pi\) |
0.750017 | + | 0.661419i | \(0.230046\pi\) | |||||||
\(60\) | 5.30917 | + | 0.268633i | 0.685410 | + | 0.0346804i | ||||
\(61\) | −1.72355 | − | 0.995090i | −0.220678 | − | 0.127408i | 0.385586 | − | 0.922672i | \(-0.373999\pi\) |
−0.606264 | + | 0.795264i | \(0.707332\pi\) | |||||||
\(62\) | −7.10651 | + | 4.35448i | −0.902528 | + | 0.553020i | ||||
\(63\) | 7.68827 | + | 1.97245i | 0.968631 | + | 0.248505i | ||||
\(64\) | 7.90181 | − | 1.24955i | 0.987726 | − | 0.156194i | ||||
\(65\) | −4.33854 | − | 2.50486i | −0.538130 | − | 0.310690i | ||||
\(66\) | 1.17057 | − | 15.2329i | 0.144087 | − | 1.87504i | ||||
\(67\) | 0.176463 | + | 0.305644i | 0.0215584 | + | 0.0373403i | 0.876603 | − | 0.481214i | \(-0.159804\pi\) |
−0.855045 | + | 0.518554i | \(0.826471\pi\) | |||||||
\(68\) | 8.08859 | + | 4.12217i | 0.980886 | + | 0.499887i | ||||
\(69\) | −13.3652 | − | 1.37926i | −1.60899 | − | 0.166044i | ||||
\(70\) | −5.74082 | − | 0.110983i | −0.686159 | − | 0.0132650i | ||||
\(71\) | 9.15793 | 1.08685 | 0.543423 | − | 0.839459i | \(-0.317128\pi\) | ||||
0.543423 | + | 0.839459i | \(0.317128\pi\) | |||||||
\(72\) | −8.41668 | − | 1.07683i | −0.991915 | − | 0.126906i | ||||
\(73\) | 3.24270 | − | 5.61652i | 0.379529 | − | 0.657364i | −0.611465 | − | 0.791272i | \(-0.709419\pi\) |
0.990994 | + | 0.133908i | \(0.0427527\pi\) | |||||||
\(74\) | 1.42817 | − | 0.875105i | 0.166022 | − | 0.101729i | ||||
\(75\) | −4.55716 | − | 0.470288i | −0.526215 | − | 0.0543042i | ||||
\(76\) | −3.62490 | − | 5.58284i | −0.415804 | − | 0.640396i | ||||
\(77\) | −0.750072 | + | 16.4849i | −0.0854786 | + | 1.87862i | ||||
\(78\) | 6.59844 | + | 4.51708i | 0.747127 | + | 0.511458i | ||||
\(79\) | 8.83458 | + | 5.10065i | 0.993968 | + | 0.573868i | 0.906458 | − | 0.422296i | \(-0.138776\pi\) |
0.0875099 | + | 0.996164i | \(0.472109\pi\) | |||||||
\(80\) | 6.10482 | − | 0.640642i | 0.682539 | − | 0.0716259i | ||||
\(81\) | 8.24929 | + | 3.59850i | 0.916588 | + | 0.399833i | ||||
\(82\) | 7.81684 | + | 4.24461i | 0.863225 | + | 0.468738i | ||||
\(83\) | −9.60037 | + | 5.54278i | −1.05378 | + | 0.608399i | −0.923705 | − | 0.383105i | \(-0.874855\pi\) |
−0.130073 | + | 0.991504i | \(0.541521\pi\) | |||||||
\(84\) | 9.12293 | + | 0.878724i | 0.995393 | + | 0.0958766i | ||||
\(85\) | 6.03256 | + | 3.48290i | 0.654323 | + | 0.377774i | ||||
\(86\) | −0.739655 | − | 1.20712i | −0.0797591 | − | 0.130167i | ||||
\(87\) | −3.83804 | − | 8.57681i | −0.411481 | − | 0.919530i | ||||
\(88\) | −1.38198 | − | 17.5871i | −0.147320 | − | 1.87479i | ||||
\(89\) | 11.2969 | − | 6.52229i | 1.19747 | − | 0.691361i | 0.237482 | − | 0.971392i | \(-0.423678\pi\) |
0.959991 | + | 0.280031i | \(0.0903447\pi\) | |||||||
\(90\) | −6.40605 | − | 1.16258i | −0.675257 | − | 0.122547i | ||||
\(91\) | −7.27598 | − | 4.65411i | −0.762730 | − | 0.487884i | ||||
\(92\) | −15.4936 | + | 0.810727i | −1.61532 | + | 0.0845241i | ||||
\(93\) | 9.31730 | − | 4.16940i | 0.966159 | − | 0.432347i | ||||
\(94\) | −3.62271 | + | 6.67157i | −0.373654 | + | 0.688119i | ||||
\(95\) | −2.55371 | − | 4.42316i | −0.262005 | − | 0.453807i | ||||
\(96\) | −9.79416 | + | 0.272969i | −0.999612 | + | 0.0278598i | ||||
\(97\) | −3.50309 | − | 6.06752i | −0.355684 | − | 0.616064i | 0.631550 | − | 0.775335i | \(-0.282419\pi\) |
−0.987235 | + | 0.159271i | \(0.949086\pi\) | |||||||
\(98\) | −9.87872 | − | 0.641030i | −0.997901 | − | 0.0647538i | ||||
\(99\) | −3.82126 | + | 18.3171i | −0.384051 | + | 1.84094i | ||||
\(100\) | −5.28287 | + | 0.276434i | −0.528287 | + | 0.0276434i | ||||
\(101\) | −11.8617 | −1.18029 | −0.590143 | − | 0.807299i | \(-0.700929\pi\) | ||||
−0.590143 | + | 0.807299i | \(0.700929\pi\) | |||||||
\(102\) | −9.17485 | − | 6.28080i | −0.908446 | − | 0.621892i | ||||
\(103\) | 8.88694i | 0.875656i | 0.899059 | + | 0.437828i | \(0.144252\pi\) | ||||
−0.899059 | + | 0.437828i | \(0.855748\pi\) | |||||||
\(104\) | 8.33356 | + | 3.97615i | 0.817173 | + | 0.389893i | ||||
\(105\) | 6.95516 | + | 1.03910i | 0.678754 | + | 0.101406i | ||||
\(106\) | 0.0671859 | − | 0.123729i | 0.00652567 | − | 0.0120176i | ||||
\(107\) | 2.87346 | − | 1.65899i | 0.277788 | − | 0.160381i | −0.354634 | − | 0.935005i | \(-0.615394\pi\) |
0.632421 | + | 0.774625i | \(0.282061\pi\) | |||||||
\(108\) | 10.0530 | + | 2.63370i | 0.967354 | + | 0.253428i | ||||
\(109\) | −10.3514 | − | 5.97638i | −0.991483 | − | 0.572433i | −0.0857658 | − | 0.996315i | \(-0.527334\pi\) |
−0.905717 | + | 0.423882i | \(0.860667\pi\) | |||||||
\(110\) | −0.353784 | − | 13.5314i | −0.0337320 | − | 1.29017i | ||||
\(111\) | −1.87247 | + | 0.837911i | −0.177727 | + | 0.0795310i | ||||
\(112\) | 10.5645 | − | 0.624969i | 0.998255 | − | 0.0590540i | ||||
\(113\) | −13.6059 | − | 7.85539i | −1.27994 | − | 0.738973i | −0.303101 | − | 0.952958i | \(-0.598022\pi\) |
−0.976837 | + | 0.213986i | \(0.931355\pi\) | |||||||
\(114\) | 3.52328 | + | 7.35177i | 0.329986 | + | 0.688556i | ||||
\(115\) | −11.9044 | −1.11009 | ||||||||
\(116\) | −5.90861 | − | 9.10007i | −0.548600 | − | 0.844920i | ||||
\(117\) | −7.30275 | − | 6.52572i | −0.675140 | − | 0.603303i | ||||
\(118\) | −5.90607 | + | 3.61891i | −0.543697 | + | 0.333148i | ||||
\(119\) | 10.1169 | + | 6.47135i | 0.927419 | + | 0.593227i | ||||
\(120\) | −7.51566 | − | 0.183535i | −0.686083 | − | 0.0167543i | ||||
\(121\) | −27.9019 | −2.53654 | ||||||||
\(122\) | 2.47341 | + | 1.34308i | 0.223932 | + | 0.121597i | ||||
\(123\) | −8.82550 | − | 6.38670i | −0.795768 | − | 0.575870i | ||||
\(124\) | 9.88574 | − | 6.41874i | 0.887766 | − | 0.576420i | ||||
\(125\) | −11.7320 | −1.04934 | ||||||||
\(126\) | −10.9420 | − | 2.50433i | −0.974795 | − | 0.223104i | ||||
\(127\) | − | 15.6214i | − | 1.38617i | −0.720855 | − | 0.693086i | \(-0.756251\pi\) | ||
0.720855 | − | 0.693086i | \(-0.243749\pi\) | |||||||
\(128\) | −11.1248 | + | 2.05860i | −0.983307 | + | 0.181957i | ||||
\(129\) | 0.708218 | + | 1.58264i | 0.0623551 | + | 0.139344i | ||||
\(130\) | 6.22612 | + | 3.38083i | 0.546067 | + | 0.296519i | ||||
\(131\) | − | 0.390331i | − | 0.0341034i | −0.999855 | − | 0.0170517i | \(-0.994572\pi\) | ||
0.999855 | − | 0.0170517i | \(-0.00542799\pi\) | |||||||
\(132\) | −1.09183 | + | 21.5785i | −0.0950314 | + | 1.87817i | ||||
\(133\) | −4.05164 | − | 7.81814i | −0.351321 | − | 0.677918i | ||||
\(134\) | −0.260769 | − | 0.425575i | −0.0225270 | − | 0.0367641i | ||||
\(135\) | 7.59749 | + | 2.42113i | 0.653888 | + | 0.208378i | ||||
\(136\) | −11.5875 | − | 5.52866i | −0.993616 | − | 0.474079i | ||||
\(137\) | − | 9.76447i | − | 0.834235i | −0.908853 | − | 0.417117i | \(-0.863040\pi\) | ||
0.908853 | − | 0.417117i | \(-0.136960\pi\) | |||||||
\(138\) | 18.9458 | + | 1.45589i | 1.61278 | + | 0.123934i | ||||
\(139\) | 0.674096 | − | 1.16757i | 0.0571761 | − | 0.0990318i | −0.836021 | − | 0.548698i | \(-0.815124\pi\) |
0.893197 | + | 0.449666i | \(0.148457\pi\) | |||||||
\(140\) | 8.12007 | − | 0.0552951i | 0.686271 | − | 0.00467329i | ||||
\(141\) | 5.45097 | − | 7.53245i | 0.459054 | − | 0.634346i | ||||
\(142\) | −12.9468 | + | 0.338500i | −1.08647 | + | 0.0284063i | ||||
\(143\) | 10.1807 | − | 17.6335i | 0.851354 | − | 1.47459i | ||||
\(144\) | 11.9387 | + | 1.21125i | 0.994893 | + | 0.100938i | ||||
\(145\) | −4.16257 | − | 7.20978i | −0.345682 | − | 0.598740i | ||||
\(146\) | −4.37670 | + | 8.06010i | −0.362218 | + | 0.667059i | ||||
\(147\) | 11.8974 | + | 2.33469i | 0.981285 | + | 0.192562i | ||||
\(148\) | −1.98670 | + | 1.28995i | −0.163306 | + | 0.106033i | ||||
\(149\) | −4.89441 | −0.400965 | −0.200483 | − | 0.979697i | \(-0.564251\pi\) | ||||
−0.200483 | + | 0.979697i | \(0.564251\pi\) | |||||||
\(150\) | 6.45997 | + | 0.496417i | 0.527455 | + | 0.0405323i | ||||
\(151\) | 8.42233i | 0.685399i | 0.939445 | + | 0.342700i | \(0.111341\pi\) | ||||
−0.939445 | + | 0.342700i | \(0.888659\pi\) | |||||||
\(152\) | 5.33098 | + | 7.75865i | 0.432400 | + | 0.629310i | ||||
\(153\) | 10.1542 | + | 9.07373i | 0.820916 | + | 0.733568i | ||||
\(154\) | 0.451077 | − | 23.3329i | 0.0363488 | − | 1.88022i | ||||
\(155\) | 7.83225 | − | 4.52195i | 0.629102 | − | 0.363212i | ||||
\(156\) | −9.49538 | − | 6.14204i | −0.760239 | − | 0.491756i | ||||
\(157\) | −9.01450 | + | 5.20452i | −0.719435 | + | 0.415366i | −0.814545 | − | 0.580101i | \(-0.803013\pi\) |
0.0951096 | + | 0.995467i | \(0.469680\pi\) | |||||||
\(158\) | −12.6782 | − | 6.88439i | −1.00863 | − | 0.547693i | ||||
\(159\) | −0.101092 | + | 0.139695i | −0.00801713 | + | 0.0110785i | ||||
\(160\) | −8.60689 | + | 1.13134i | −0.680434 | + | 0.0894406i | ||||
\(161\) | −20.5030 | − | 0.932897i | −1.61586 | − | 0.0735226i | ||||
\(162\) | −11.7953 | − | 4.78239i | −0.926725 | − | 0.375740i | ||||
\(163\) | 4.22451 | + | 7.31706i | 0.330889 | + | 0.573117i | 0.982686 | − | 0.185276i | \(-0.0593181\pi\) |
−0.651797 | + | 0.758393i | \(0.725985\pi\) | |||||||
\(164\) | −11.2078 | − | 5.71180i | −0.875181 | − | 0.446017i | ||||
\(165\) | −1.70179 | + | 16.4906i | −0.132484 | + | 1.28379i | ||||
\(166\) | 13.3675 | − | 8.19085i | 1.03752 | − | 0.635733i | ||||
\(167\) | 7.14383 | − | 12.3735i | 0.552806 | − | 0.957489i | −0.445264 | − | 0.895399i | \(-0.646890\pi\) |
0.998071 | − | 0.0620894i | \(-0.0197764\pi\) | |||||||
\(168\) | −12.9298 | − | 0.905072i | −0.997559 | − | 0.0698278i | ||||
\(169\) | −1.17138 | − | 2.02889i | −0.0901060 | − | 0.156068i | ||||
\(170\) | −8.65715 | − | 4.70090i | −0.663973 | − | 0.360543i | ||||
\(171\) | −3.12122 | − | 9.48425i | −0.238686 | − | 0.725279i | ||||
\(172\) | 1.09029 | + | 1.67920i | 0.0831339 | + | 0.128038i | ||||
\(173\) | −2.30772 | + | 3.99709i | −0.175453 | + | 0.303893i | −0.940318 | − | 0.340297i | \(-0.889472\pi\) |
0.764865 | + | 0.644191i | \(0.222806\pi\) | |||||||
\(174\) | 5.74297 | + | 11.9834i | 0.435374 | + | 0.908461i | ||||
\(175\) | −6.99091 | − | 0.318091i | −0.528463 | − | 0.0240454i | ||||
\(176\) | 2.60381 | + | 24.8123i | 0.196270 | + | 1.87030i | ||||
\(177\) | 7.74340 | − | 3.46510i | 0.582030 | − | 0.260453i | ||||
\(178\) | −15.7297 | + | 9.63832i | −1.17899 | + | 0.722423i | ||||
\(179\) | 17.1258 | + | 9.88760i | 1.28004 | + | 0.739034i | 0.976856 | − | 0.213897i | \(-0.0686155\pi\) |
0.303188 | + | 0.952931i | \(0.401949\pi\) | |||||||
\(180\) | 9.09941 | + | 1.40679i | 0.678230 | + | 0.104856i | ||||
\(181\) | 23.0647i | 1.71439i | 0.514995 | + | 0.857193i | \(0.327794\pi\) | ||||
−0.514995 | + | 0.857193i | \(0.672206\pi\) | |||||||
\(182\) | 10.4583 | + | 6.31073i | 0.775221 | + | 0.467782i | ||||
\(183\) | −2.79257 | − | 2.02089i | −0.206433 | − | 0.149388i | ||||
\(184\) | 21.8738 | − | 1.71883i | 1.61256 | − | 0.126714i | ||||
\(185\) | −1.57402 | + | 0.908761i | −0.115724 | + | 0.0668134i | ||||
\(186\) | −13.0180 | + | 6.23880i | −0.954529 | + | 0.457451i | ||||
\(187\) | −14.1558 | + | 24.5186i | −1.03518 | + | 1.79298i | ||||
\(188\) | 4.87494 | − | 9.56570i | 0.355542 | − | 0.697650i | ||||
\(189\) | 12.8954 | + | 4.76530i | 0.938004 | + | 0.346625i | ||||
\(190\) | 3.77375 | + | 6.15877i | 0.273777 | + | 0.446804i | ||||
\(191\) | 7.40285 | − | 12.8221i | 0.535651 | − | 0.927775i | −0.463480 | − | 0.886107i | \(-0.653400\pi\) |
0.999132 | − | 0.0416677i | \(-0.0132671\pi\) | |||||||
\(192\) | 13.8362 | − | 0.747921i | 0.998542 | − | 0.0539765i | ||||
\(193\) | 4.26448 | + | 7.38630i | 0.306964 | + | 0.531678i | 0.977697 | − | 0.210022i | \(-0.0673535\pi\) |
−0.670733 | + | 0.741699i | \(0.734020\pi\) | |||||||
\(194\) | 5.17669 | + | 8.44836i | 0.371665 | + | 0.606557i | ||||
\(195\) | −7.02952 | − | 5.08702i | −0.503394 | − | 0.364289i | ||||
\(196\) | 13.9895 | + | 0.541101i | 0.999253 | + | 0.0386501i | ||||
\(197\) | 0.327861 | 0.0233591 | 0.0116796 | − | 0.999932i | \(-0.496282\pi\) | ||||
0.0116796 | + | 0.999932i | \(0.496282\pi\) | |||||||
\(198\) | 4.72518 | − | 26.0367i | 0.335804 | − | 1.85034i | ||||
\(199\) | 16.1140 | + | 9.30341i | 1.14229 | + | 0.659501i | 0.946997 | − | 0.321243i | \(-0.104101\pi\) |
0.195293 | + | 0.980745i | \(0.437434\pi\) | |||||||
\(200\) | 7.45834 | − | 0.586071i | 0.527384 | − | 0.0414415i | ||||
\(201\) | 0.249686 | + | 0.557969i | 0.0176115 | + | 0.0393561i | ||||
\(202\) | 16.7693 | − | 0.438439i | 1.17988 | − | 0.0308485i | ||||
\(203\) | −6.60419 | − | 12.7436i | −0.463524 | − | 0.894426i | ||||
\(204\) | 13.2029 | + | 8.54024i | 0.924390 | + | 0.597936i | ||||
\(205\) | −8.35889 | − | 4.82601i | −0.583810 | − | 0.337063i | ||||
\(206\) | −0.328483 | − | 12.5637i | −0.0228865 | − | 0.875357i | ||||
\(207\) | −22.7818 | − | 4.75267i | −1.58344 | − | 0.330333i | ||||
\(208\) | −11.9284 | − | 5.31317i | −0.827084 | − | 0.368402i | ||||
\(209\) | 17.9774 | − | 10.3793i | 1.24352 | − | 0.717949i | ||||
\(210\) | −9.87113 | − | 1.21193i | −0.681173 | − | 0.0836309i | ||||
\(211\) | −6.22529 | + | 10.7825i | −0.428567 | + | 0.742300i | −0.996746 | − | 0.0806051i | \(-0.974315\pi\) |
0.568179 | + | 0.822905i | \(0.307648\pi\) | |||||||
\(212\) | −0.0904094 | + | 0.177403i | −0.00620934 | + | 0.0121841i | ||||
\(213\) | 15.7782 | + | 1.62827i | 1.08110 | + | 0.111568i | ||||
\(214\) | −4.00097 | + | 2.45158i | −0.273501 | + | 0.167586i | ||||
\(215\) | 0.768102 | + | 1.33039i | 0.0523841 | + | 0.0907320i | ||||
\(216\) | −14.3096 | − | 3.35176i | −0.973648 | − | 0.228058i | ||||
\(217\) | 13.8439 | − | 7.17438i | 0.939782 | − | 0.487029i | ||||
\(218\) | 14.8550 | + | 8.06637i | 1.00611 | + | 0.546324i | ||||
\(219\) | 6.58546 | − | 9.10015i | 0.445004 | − | 0.614931i | ||||
\(220\) | 1.00031 | + | 19.1167i | 0.0674409 | + | 1.28885i | ||||
\(221\) | −7.40922 | − | 12.8331i | −0.498398 | − | 0.863251i | ||||
\(222\) | 2.61619 | − | 1.25379i | 0.175587 | − | 0.0841489i | ||||
\(223\) | −11.1399 | + | 6.43164i | −0.745985 | + | 0.430695i | −0.824241 | − | 0.566239i | \(-0.808398\pi\) |
0.0782565 | + | 0.996933i | \(0.475065\pi\) | |||||||
\(224\) | −14.9123 | + | 1.27403i | −0.996370 | + | 0.0851247i | ||||
\(225\) | −7.76791 | − | 1.62052i | −0.517861 | − | 0.108035i | ||||
\(226\) | 19.5255 | + | 10.6025i | 1.29882 | + | 0.705267i | ||||
\(227\) | − | 28.7349i | − | 1.90720i | −0.301069 | − | 0.953602i | \(-0.597344\pi\) | ||
0.301069 | − | 0.953602i | \(-0.402656\pi\) | |||||||
\(228\) | −5.25271 | − | 10.2632i | −0.347869 | − | 0.679696i | ||||
\(229\) | 5.44099i | 0.359551i | 0.983708 | + | 0.179775i | \(0.0575371\pi\) | ||||
−0.983708 | + | 0.179775i | \(0.942463\pi\) | |||||||
\(230\) | 16.8296 | − | 0.440017i | 1.10971 | − | 0.0290138i | ||||
\(231\) | −4.22330 | + | 28.2684i | −0.277873 | + | 1.85993i | ||||
\(232\) | 8.68954 | + | 12.6466i | 0.570496 | + | 0.830293i | ||||
\(233\) | −3.36653 | + | 1.94367i | −0.220549 | + | 0.127334i | −0.606204 | − | 0.795309i | \(-0.707309\pi\) |
0.385656 | + | 0.922643i | \(0.373975\pi\) | |||||||
\(234\) | 10.5653 | + | 8.95568i | 0.690677 | + | 0.585451i | ||||
\(235\) | 4.11893 | − | 7.13420i | 0.268690 | − | 0.465384i | ||||
\(236\) | 8.21582 | − | 5.33447i | 0.534804 | − | 0.347244i | ||||
\(237\) | 14.3142 | + | 10.3587i | 0.929808 | + | 0.672869i | ||||
\(238\) | −14.5418 | − | 8.77479i | −0.942607 | − | 0.568785i | ||||
\(239\) | −10.9544 | + | 18.9736i | −0.708583 | + | 1.22730i | 0.256800 | + | 0.966465i | \(0.417332\pi\) |
−0.965383 | + | 0.260837i | \(0.916002\pi\) | |||||||
\(240\) | 10.6319 | − | 0.0183290i | 0.686286 | − | 0.00118313i | ||||
\(241\) | 11.2466 | 0.724455 | 0.362228 | − | 0.932090i | \(-0.382016\pi\) | ||||
0.362228 | + | 0.932090i | \(0.382016\pi\) | |||||||
\(242\) | 39.4458 | − | 1.03132i | 2.53567 | − | 0.0662961i | ||||
\(243\) | 13.5729 | + | 7.66657i | 0.870702 | + | 0.491811i | ||||
\(244\) | −3.54638 | − | 1.80733i | −0.227034 | − | 0.115703i | ||||
\(245\) | 10.6977 | + | 0.975524i | 0.683452 | + | 0.0623240i | ||||
\(246\) | 12.7129 | + | 8.70286i | 0.810548 | + | 0.554874i | ||||
\(247\) | 10.8651i | 0.691329i | ||||||||
\(248\) | −13.7385 | + | 9.43976i | −0.872397 | + | 0.599426i | ||||
\(249\) | −17.5260 | + | 7.84272i | −1.11066 | + | 0.497012i | ||||
\(250\) | 16.5859 | − | 0.433643i | 1.04898 | − | 0.0274260i | ||||
\(251\) | 3.61797i | 0.228364i | 0.993460 | + | 0.114182i | \(0.0364248\pi\) | ||||
−0.993460 | + | 0.114182i | \(0.963575\pi\) | |||||||
\(252\) | 15.5617 | + | 3.13601i | 0.980293 | + | 0.197550i | ||||
\(253\) | − | 48.3840i | − | 3.04188i | ||||||
\(254\) | 0.577405 | + | 22.0844i | 0.0362296 | + | 1.38570i | ||||
\(255\) | 9.77424 | + | 7.07328i | 0.612087 | + | 0.442946i | ||||
\(256\) | 15.6514 | − | 3.32151i | 0.978215 | − | 0.207595i | ||||
\(257\) | 14.7033i | 0.917169i | 0.888651 | + | 0.458584i | \(0.151643\pi\) | ||||
−0.888651 | + | 0.458584i | \(0.848357\pi\) | |||||||
\(258\) | −1.05973 | − | 2.21125i | −0.0659758 | − | 0.137667i | ||||
\(259\) | −2.78215 | + | 1.44181i | −0.172875 | + | 0.0895898i | ||||
\(260\) | −8.92702 | − | 4.54945i | −0.553630 | − | 0.282145i | ||||
\(261\) | −5.08761 | − | 15.4594i | −0.314915 | − | 0.956912i | ||||
\(262\) | 0.0144276 | + | 0.551823i | 0.000891341 | + | 0.0340917i | ||||
\(263\) | −22.4177 | −1.38233 | −0.691167 | − | 0.722695i | \(-0.742903\pi\) | ||||
−0.691167 | + | 0.722695i | \(0.742903\pi\) | |||||||
\(264\) | 0.745955 | − | 30.5465i | 0.0459104 | − | 1.88001i | ||||
\(265\) | −0.0763886 | + | 0.132309i | −0.00469252 | + | 0.00812768i | ||||
\(266\) | 6.01690 | + | 10.9030i | 0.368920 | + | 0.668504i | ||||
\(267\) | 20.6232 | − | 9.22867i | 1.26212 | − | 0.564785i | ||||
\(268\) | 0.384388 | + | 0.592010i | 0.0234802 | + | 0.0361628i | ||||
\(269\) | −13.7236 | + | 23.7700i | −0.836744 | + | 1.44928i | 0.0558589 | + | 0.998439i | \(0.482210\pi\) |
−0.892603 | + | 0.450844i | \(0.851123\pi\) | |||||||
\(270\) | −10.8303 | − | 3.14201i | −0.659110 | − | 0.191216i | ||||
\(271\) | −23.2354 | + | 13.4150i | −1.41145 | + | 0.814902i | −0.995525 | − | 0.0944957i | \(-0.969876\pi\) |
−0.415927 | + | 0.909398i | \(0.636543\pi\) | |||||||
\(272\) | 16.5859 | + | 7.38774i | 1.00567 | + | 0.447947i | ||||
\(273\) | −11.7083 | − | 9.31224i | −0.708618 | − | 0.563603i | ||||
\(274\) | 0.360919 | + | 13.8043i | 0.0218039 | + | 0.833950i | ||||
\(275\) | − | 16.4975i | − | 0.994839i | ||||||
\(276\) | −26.8381 | − | 1.35795i | −1.61546 | − | 0.0817393i | ||||
\(277\) | − | 12.0207i | − | 0.722252i | −0.932517 | − | 0.361126i | \(-0.882392\pi\) | ||
0.932517 | − | 0.361126i | \(-0.117608\pi\) | |||||||
\(278\) | −0.909833 | + | 1.67554i | −0.0545682 | + | 0.100492i | ||||
\(279\) | 16.7941 | − | 5.52686i | 1.00544 | − | 0.330884i | ||||
\(280\) | −11.4775 | + | 0.378311i | −0.685915 | + | 0.0226084i | ||||
\(281\) | 16.6306 | − | 9.60168i | 0.992098 | − | 0.572788i | 0.0861971 | − | 0.996278i | \(-0.472529\pi\) |
0.905901 | + | 0.423490i | \(0.139195\pi\) | |||||||
\(282\) | −7.42778 | + | 10.8503i | −0.442318 | + | 0.646128i | ||||
\(283\) | 0.794400 | + | 1.37594i | 0.0472222 | + | 0.0817913i | 0.888670 | − | 0.458547i | \(-0.151630\pi\) |
−0.841448 | + | 0.540338i | \(0.818296\pi\) | |||||||
\(284\) | 18.2908 | − | 0.957095i | 1.08536 | − | 0.0567932i | ||||
\(285\) | −3.61336 | − | 8.07472i | −0.214037 | − | 0.478305i | ||||
\(286\) | −13.7410 | + | 25.3053i | −0.812522 | + | 1.49634i | ||||
\(287\) | −14.0183 | − | 8.96689i | −0.827476 | − | 0.529299i | ||||
\(288\) | −16.9229 | − | 1.27110i | −0.997191 | − | 0.0749001i | ||||
\(289\) | 1.80220 | + | 3.12151i | 0.106012 | + | 0.183618i | ||||
\(290\) | 6.15124 | + | 10.0388i | 0.361213 | + | 0.589500i | ||||
\(291\) | −4.95667 | − | 11.0766i | −0.290565 | − | 0.649321i | ||||
\(292\) | 5.88955 | − | 11.5566i | 0.344660 | − | 0.676298i | ||||
\(293\) | 1.97336 | − | 3.41795i | 0.115285 | − | 0.199679i | −0.802609 | − | 0.596506i | \(-0.796555\pi\) |
0.917894 | + | 0.396827i | \(0.129889\pi\) | |||||||
\(294\) | −16.9061 | − | 2.86086i | −0.985982 | − | 0.166849i | ||||
\(295\) | 6.50921 | − | 3.75809i | 0.378981 | − | 0.218805i | ||||
\(296\) | 2.76098 | − | 1.89708i | 0.160479 | − | 0.110265i | ||||
\(297\) | −9.84041 | + | 30.8791i | −0.570999 | + | 1.79179i | ||||
\(298\) | 6.91937 | − | 0.180909i | 0.400828 | − | 0.0104798i | ||||
\(299\) | 21.9316 | + | 12.6622i | 1.26834 | + | 0.732274i | ||||
\(300\) | −9.15101 | − | 0.463023i | −0.528334 | − | 0.0267326i | ||||
\(301\) | 1.21865 | + | 2.35153i | 0.0702416 | + | 0.135540i | ||||
\(302\) | −0.311310 | − | 11.9069i | −0.0179139 | − | 0.685165i | ||||
\(303\) | −20.4366 | − | 2.10901i | −1.17405 | − | 0.121159i | ||||
\(304\) | −7.82335 | − | 10.7716i | −0.448700 | − | 0.617793i | ||||
\(305\) | −2.64493 | − | 1.52705i | −0.151448 | − | 0.0874386i | ||||
\(306\) | −14.6906 | − | 12.4525i | −0.839808 | − | 0.711861i | ||||
\(307\) | −13.0318 | −0.743767 | −0.371883 | − | 0.928279i | \(-0.621288\pi\) | ||||
−0.371883 | + | 0.928279i | \(0.621288\pi\) | |||||||
\(308\) | 0.224740 | + | 33.0031i | 0.0128058 | + | 1.88052i | ||||
\(309\) | −1.58009 | + | 15.3113i | −0.0898883 | + | 0.871030i | ||||
\(310\) | −10.9055 | + | 6.68232i | −0.619394 | + | 0.379530i | ||||
\(311\) | 9.16611 | + | 15.8762i | 0.519763 | + | 0.900255i | 0.999736 | + | 0.0229722i | \(0.00731291\pi\) |
−0.479974 | + | 0.877283i | \(0.659354\pi\) | |||||||
\(312\) | 13.6509 | + | 8.33221i | 0.772832 | + | 0.471718i | ||||
\(313\) | 8.15743 | − | 14.1291i | 0.461085 | − | 0.798623i | −0.537930 | − | 0.842990i | \(-0.680793\pi\) |
0.999015 | + | 0.0443661i | \(0.0141268\pi\) | |||||||
\(314\) | 12.5517 | − | 7.69099i | 0.708333 | − | 0.434028i | ||||
\(315\) | 11.7983 | + | 3.02689i | 0.664759 | + | 0.170546i | ||||
\(316\) | 18.1781 | + | 9.26405i | 1.02260 | + | 0.521144i | ||||
\(317\) | 1.06901 | − | 1.85158i | 0.0600416 | − | 0.103995i | −0.834442 | − | 0.551095i | \(-0.814210\pi\) |
0.894484 | + | 0.447100i | \(0.147543\pi\) | |||||||
\(318\) | 0.137754 | − | 0.201227i | 0.00772484 | − | 0.0112843i | ||||
\(319\) | 29.3033 | − | 16.9183i | 1.64067 | − | 0.947241i | ||||
\(320\) | 12.1260 | − | 1.91755i | 0.677864 | − | 0.107194i | ||||
\(321\) | 5.24565 | − | 2.34738i | 0.292784 | − | 0.131018i | ||||
\(322\) | 29.0201 | + | 0.561025i | 1.61723 | + | 0.0312647i | ||||
\(323\) | − | 15.1074i | − | 0.840601i | ||||||
\(324\) | 16.8521 | + | 6.32503i | 0.936229 | + | 0.351391i | ||||
\(325\) | 7.47802 | + | 4.31744i | 0.414806 | + | 0.239488i | ||||
\(326\) | −6.24277 | − | 10.1882i | −0.345755 | − | 0.564273i | ||||
\(327\) | −16.7718 | − | 12.1372i | −0.927484 | − | 0.671187i | ||||
\(328\) | 16.0559 | + | 7.66068i | 0.886540 | + | 0.422990i | ||||
\(329\) | 7.65312 | − | 11.9645i | 0.421930 | − | 0.659622i | ||||
\(330\) | 1.79634 | − | 23.3762i | 0.0988854 | − | 1.28682i | ||||
\(331\) | 1.37831 | − | 2.38730i | 0.0757588 | − | 0.131218i | −0.825657 | − | 0.564172i | \(-0.809195\pi\) |
0.901416 | + | 0.432954i | \(0.142529\pi\) | |||||||
\(332\) | −18.5952 | + | 12.0737i | −1.02055 | + | 0.662633i | ||||
\(333\) | −3.37505 | + | 1.11071i | −0.184952 | + | 0.0608667i | ||||
\(334\) | −9.64210 | + | 17.7568i | −0.527592 | + | 0.971610i | ||||
\(335\) | 0.270798 | + | 0.469036i | 0.0147953 | + | 0.0256262i | ||||
\(336\) | 18.3128 | + | 0.801609i | 0.999043 | + | 0.0437313i | ||||
\(337\) | −3.98494 | + | 6.90213i | −0.217074 | + | 0.375983i | −0.953912 | − | 0.300086i | \(-0.902985\pi\) |
0.736838 | + | 0.676069i | \(0.236318\pi\) | |||||||
\(338\) | 1.73101 | + | 2.82500i | 0.0941543 | + | 0.153660i | ||||
\(339\) | −22.0450 | − | 15.9532i | −1.19732 | − | 0.866458i | ||||
\(340\) | 12.4126 | + | 6.32582i | 0.673170 | + | 0.343066i | ||||
\(341\) | 18.3789 | + | 31.8333i | 0.995275 | + | 1.72387i | ||||
\(342\) | 4.76313 | + | 13.2928i | 0.257560 | + | 0.718793i | ||||
\(343\) | 18.3482 | + | 2.51848i | 0.990711 | + | 0.135985i | ||||
\(344\) | −1.60345 | − | 2.33364i | −0.0864520 | − | 0.125821i | ||||
\(345\) | −20.5101 | − | 2.11660i | −1.10423 | − | 0.113954i | ||||
\(346\) | 3.11475 | − | 5.73611i | 0.167450 | − | 0.308375i | ||||
\(347\) | −23.1514 | + | 13.3665i | −1.24283 | + | 0.717549i | −0.969670 | − | 0.244419i | \(-0.921403\pi\) |
−0.273161 | + | 0.961968i | \(0.588069\pi\) | |||||||
\(348\) | −8.56195 | − | 16.7291i | −0.458969 | − | 0.896772i | ||||
\(349\) | 15.7094 | − | 9.06981i | 0.840903 | − | 0.485496i | −0.0166680 | − | 0.999861i | \(-0.505306\pi\) |
0.857571 | + | 0.514365i | \(0.171972\pi\) | |||||||
\(350\) | 9.89502 | + | 0.191293i | 0.528911 | + | 0.0102250i | ||||
\(351\) | −11.4217 | − | 12.5416i | −0.609643 | − | 0.669421i | ||||
\(352\) | −4.59821 | − | 34.9817i | −0.245086 | − | 1.86453i | ||||
\(353\) | 18.8139i | 1.00136i | 0.865631 | + | 0.500682i | \(0.166917\pi\) | ||||
−0.865631 | + | 0.500682i | \(0.833083\pi\) | |||||||
\(354\) | −10.8190 | + | 5.18493i | −0.575024 | + | 0.275576i | ||||
\(355\) | 14.0536 | 0.745889 | ||||||||
\(356\) | 21.8814 | − | 14.2074i | 1.15971 | − | 0.752991i | ||||
\(357\) | 16.2799 | + | 12.9483i | 0.861623 | + | 0.685295i | ||||
\(358\) | −24.5768 | − | 13.3454i | −1.29892 | − | 0.705326i | ||||
\(359\) | −2.07101 | − | 3.58709i | −0.109304 | − | 0.189319i | 0.806185 | − | 0.591664i | \(-0.201529\pi\) |
−0.915488 | + | 0.402344i | \(0.868195\pi\) | |||||||
\(360\) | −12.9161 | − | 1.65249i | −0.680738 | − | 0.0870940i | ||||
\(361\) | 3.96150 | − | 6.86152i | 0.208500 | − | 0.361133i | ||||
\(362\) | −0.852529 | − | 32.6073i | −0.0448079 | − | 1.71380i | ||||
\(363\) | −48.0722 | − | 4.96094i | −2.52314 | − | 0.260382i | ||||
\(364\) | −15.0185 | − | 8.53510i | −0.787183 | − | 0.447361i | ||||
\(365\) | 4.97620 | − | 8.61902i | 0.260466 | − | 0.451140i | ||||
\(366\) | 4.02264 | + | 2.75377i | 0.210267 | + | 0.143942i | ||||
\(367\) | 31.5808i | 1.64851i | 0.566222 | + | 0.824253i | \(0.308404\pi\) | ||||
−0.566222 | + | 0.824253i | \(0.691596\pi\) | |||||||
\(368\) | −30.8602 | + | 3.23848i | −1.60870 | + | 0.168817i | ||||
\(369\) | −14.0699 | − | 12.5728i | −0.732450 | − | 0.654515i | ||||
\(370\) | 2.19165 | − | 1.34292i | 0.113938 | − | 0.0698152i | ||||
\(371\) | −0.141933 | + | 0.221890i | −0.00736878 | + | 0.0115199i | ||||
\(372\) | 18.1734 | − | 9.30117i | 0.942247 | − | 0.482243i | ||||
\(373\) | 18.3055i | 0.947825i | 0.880572 | + | 0.473913i | \(0.157159\pi\) | ||||
−0.880572 | + | 0.473913i | \(0.842841\pi\) | |||||||
\(374\) | 19.1063 | − | 35.1860i | 0.987962 | − | 1.81942i | ||||
\(375\) | −20.2130 | − | 2.08594i | −1.04380 | − | 0.107717i | ||||
\(376\) | −6.53828 | + | 13.7035i | −0.337186 | + | 0.706705i | ||||
\(377\) | 17.7102i | 0.912120i | ||||||||
\(378\) | −18.4068 | − | 6.26021i | −0.946743 | − | 0.321990i | ||||
\(379\) | −21.0688 | −1.08223 | −0.541116 | − | 0.840948i | \(-0.681998\pi\) | ||||
−0.541116 | + | 0.840948i | \(0.681998\pi\) | |||||||
\(380\) | −5.56271 | − | 8.56735i | −0.285361 | − | 0.439496i | ||||
\(381\) | 2.77747 | − | 26.9141i | 0.142294 | − | 1.37885i | ||||
\(382\) | −9.99169 | + | 18.4006i | −0.511219 | + | 0.941458i | ||||
\(383\) | −14.5880 | −0.745413 | −0.372707 | − | 0.927949i | \(-0.621570\pi\) | ||||
−0.372707 | + | 0.927949i | \(0.621570\pi\) | |||||||
\(384\) | −19.5330 | + | 1.56878i | −0.996790 | + | 0.0800564i | ||||
\(385\) | −1.15105 | + | 25.2974i | −0.0586629 | + | 1.28928i | ||||
\(386\) | −6.30185 | − | 10.2846i | −0.320755 | − | 0.523473i | ||||
\(387\) | 0.938797 | + | 2.85266i | 0.0477217 | + | 0.145009i | ||||
\(388\) | −7.63072 | − | 11.7524i | −0.387391 | − | 0.596636i | ||||
\(389\) | −1.99951 | −0.101379 | −0.0506895 | − | 0.998714i | \(-0.516142\pi\) | ||||
−0.0506895 | + | 0.998714i | \(0.516142\pi\) | |||||||
\(390\) | 10.1259 | + | 6.93184i | 0.512744 | + | 0.351007i | ||||
\(391\) | −30.4949 | − | 17.6062i | −1.54219 | − | 0.890386i | ||||
\(392\) | −19.7974 | − | 0.247882i | −0.999922 | − | 0.0125199i | ||||
\(393\) | 0.0694006 | − | 0.672502i | 0.00350080 | − | 0.0339232i | ||||
\(394\) | −0.463507 | + | 0.0121186i | −0.0233511 | + | 0.000610524i | ||||
\(395\) | 13.5574 | + | 7.82738i | 0.682148 | + | 0.393838i | ||||
\(396\) | −5.71775 | + | 36.9835i | −0.287328 | + | 1.85849i | ||||
\(397\) | −4.19780 | + | 2.42360i | −0.210682 | + | 0.121637i | −0.601628 | − | 0.798776i | \(-0.705481\pi\) |
0.390947 | + | 0.920413i | \(0.372148\pi\) | |||||||
\(398\) | −23.1247 | − | 12.5569i | −1.15914 | − | 0.629421i | ||||
\(399\) | −5.59051 | − | 14.1903i | −0.279876 | − | 0.710401i | ||||
\(400\) | −10.5224 | + | 1.10423i | −0.526121 | + | 0.0552113i | ||||
\(401\) | − | 3.99476i | − | 0.199489i | −0.995013 | − | 0.0997445i | \(-0.968197\pi\) | ||
0.995013 | − | 0.0997445i | \(-0.0318025\pi\) | |||||||
\(402\) | −0.373612 | − | 0.779588i | −0.0186341 | − | 0.0388823i | ||||
\(403\) | −19.2392 | −0.958374 | ||||||||
\(404\) | −23.6911 | + | 1.23967i | −1.17867 | + | 0.0616759i | ||||
\(405\) | 12.6592 | + | 5.52220i | 0.629043 | + | 0.274400i | ||||
\(406\) | 9.80759 | + | 17.7719i | 0.486742 | + | 0.882006i | ||||
\(407\) | −3.69355 | − | 6.39742i | −0.183083 | − | 0.317108i | ||||
\(408\) | −18.9810 | − | 11.5856i | −0.939702 | − | 0.573572i | ||||
\(409\) | 7.70223 | + | 13.3407i | 0.380851 | + | 0.659653i | 0.991184 | − | 0.132492i | \(-0.0422978\pi\) |
−0.610333 | + | 0.792145i | \(0.708964\pi\) | |||||||
\(410\) | 11.9956 | + | 6.51371i | 0.592420 | + | 0.321689i | ||||
\(411\) | 1.73612 | − | 16.8232i | 0.0856363 | − | 0.829828i | ||||
\(412\) | 0.928774 | + | 17.7496i | 0.0457574 | + | 0.874460i | ||||
\(413\) | 11.5053 | − | 5.96247i | 0.566140 | − | 0.293394i | ||||
\(414\) | 32.3829 | + | 5.87692i | 1.59153 | + | 0.288835i | ||||
\(415\) | −14.7326 | + | 8.50587i | −0.723194 | + | 0.417537i | ||||
\(416\) | 17.0599 | + | 7.07049i | 0.836430 | + | 0.346659i | ||||
\(417\) | 1.36899 | − | 1.89175i | 0.0670399 | − | 0.0926394i | ||||
\(418\) | −25.0316 | + | 15.3380i | −1.22433 | + | 0.750205i | ||||
\(419\) | 16.9321 | + | 9.77575i | 0.827187 | + | 0.477577i | 0.852889 | − | 0.522093i | \(-0.174849\pi\) |
−0.0257014 | + | 0.999670i | \(0.508182\pi\) | |||||||
\(420\) | 13.9999 | + | 1.34848i | 0.683126 | + | 0.0657989i | ||||
\(421\) | −9.43649 | + | 5.44816i | −0.459907 | + | 0.265527i | −0.712005 | − | 0.702174i | \(-0.752213\pi\) |
0.252098 | + | 0.967702i | \(0.418879\pi\) | |||||||
\(422\) | 8.40234 | − | 15.4737i | 0.409020 | − | 0.753247i | ||||
\(423\) | 10.7307 | − | 12.0085i | 0.521746 | − | 0.583872i | ||||
\(424\) | 0.121257 | − | 0.254142i | 0.00588877 | − | 0.0123422i | ||||
\(425\) | −10.3979 | − | 6.00321i | −0.504371 | − | 0.291199i | ||||
\(426\) | −22.3663 | − | 1.71874i | −1.08365 | − | 0.0832732i | ||||
\(427\) | −4.43569 | − | 2.83731i | −0.214658 | − | 0.137307i | ||||
\(428\) | 5.56568 | − | 3.61376i | 0.269027 | − | 0.174677i | ||||
\(429\) | 20.6756 | − | 28.5707i | 0.998226 | − | 1.37940i | ||||
\(430\) | −1.13506 | − | 1.85242i | −0.0547377 | − | 0.0893319i | ||||
\(431\) | 16.3714 | − | 28.3561i | 0.788583 | − | 1.36587i | −0.138252 | − | 0.990397i | \(-0.544148\pi\) |
0.926835 | − | 0.375469i | \(-0.122518\pi\) | |||||||
\(432\) | 20.3539 | + | 4.20956i | 0.979276 | + | 0.202533i | ||||
\(433\) | 11.7334 | 0.563872 | 0.281936 | − | 0.959433i | \(-0.409023\pi\) | ||||
0.281936 | + | 0.959433i | \(0.409023\pi\) | |||||||
\(434\) | −19.3063 | + | 10.6543i | −0.926732 | + | 0.511425i | ||||
\(435\) | −5.88980 | − | 13.1618i | −0.282394 | − | 0.631062i | ||||
\(436\) | −21.2991 | − | 10.8546i | −1.02004 | − | 0.519841i | ||||
\(437\) | 12.9092 | + | 22.3593i | 0.617529 | + | 1.06959i | ||||
\(438\) | −8.97370 | + | 13.1086i | −0.428780 | + | 0.626352i | ||||
\(439\) | 17.0239 | + | 9.82875i | 0.812507 | + | 0.469101i | 0.847826 | − | 0.530275i | \(-0.177911\pi\) |
−0.0353190 | + | 0.999376i | \(0.511245\pi\) | |||||||
\(440\) | −2.12077 | − | 26.9889i | −0.101104 | − | 1.28664i | ||||
\(441\) | 20.0830 | + | 6.13780i | 0.956334 | + | 0.292276i | ||||
\(442\) | 10.9490 | + | 17.8687i | 0.520790 | + | 0.849930i | ||||
\(443\) | 2.61953 | + | 1.51239i | 0.124458 | + | 0.0718558i | 0.560936 | − | 0.827859i | \(-0.310441\pi\) |
−0.436479 | + | 0.899715i | \(0.643775\pi\) | |||||||
\(444\) | −3.65225 | + | 1.86922i | −0.173328 | + | 0.0887094i | ||||
\(445\) | 17.3361 | − | 10.0090i | 0.821810 | − | 0.474472i | ||||
\(446\) | 15.5111 | − | 9.50437i | 0.734473 | − | 0.450045i | ||||
\(447\) | −8.43257 | − | 0.870222i | −0.398847 | − | 0.0411601i | ||||
\(448\) | 21.0349 | − | 2.35233i | 0.993805 | − | 0.111137i | ||||
\(449\) | 23.7881i | 1.12263i | 0.827603 | + | 0.561314i | \(0.189704\pi\) | ||||
−0.827603 | + | 0.561314i | \(0.810296\pi\) | |||||||
\(450\) | 11.0416 | + | 2.00386i | 0.520508 | + | 0.0944627i | ||||
\(451\) | 19.6147 | − | 33.9737i | 0.923622 | − | 1.59976i | ||||
\(452\) | −27.9956 | − | 14.2674i | −1.31680 | − | 0.671080i | ||||
\(453\) | −1.49748 | + | 14.5108i | −0.0703580 | + | 0.681778i | ||||
\(454\) | 1.06212 | + | 40.6235i | 0.0498475 | + | 1.90655i | ||||
\(455\) | −11.1656 | − | 7.14213i | −0.523452 | − | 0.334828i | ||||
\(456\) | 7.80527 | + | 14.3152i | 0.365515 | + | 0.670372i | ||||
\(457\) | −2.15502 | + | 3.73261i | −0.100808 | + | 0.174604i | −0.912018 | − | 0.410151i | \(-0.865476\pi\) |
0.811210 | + | 0.584755i | \(0.198809\pi\) | |||||||
\(458\) | −0.201113 | − | 7.69209i | −0.00939737 | − | 0.359428i | ||||
\(459\) | 15.8813 | + | 17.4385i | 0.741276 | + | 0.813961i | ||||
\(460\) | −23.7763 | + | 1.24413i | −1.10857 | + | 0.0580078i | ||||
\(461\) | −5.05849 | − | 8.76157i | −0.235598 | − | 0.408067i | 0.723849 | − | 0.689959i | \(-0.242371\pi\) |
−0.959446 | + | 0.281892i | \(0.909038\pi\) | |||||||
\(462\) | 4.92573 | − | 40.1200i | 0.229166 | − | 1.86655i | ||||
\(463\) | −35.5873 | − | 20.5463i | −1.65388 | − | 0.954869i | −0.975455 | − | 0.220201i | \(-0.929329\pi\) |
−0.678427 | − | 0.734668i | \(-0.737338\pi\) | |||||||
\(464\) | −12.7521 | − | 17.5578i | −0.592002 | − | 0.815099i | ||||
\(465\) | 14.2982 | − | 6.39831i | 0.663063 | − | 0.296714i | ||||
\(466\) | 4.68753 | − | 2.87226i | 0.217145 | − | 0.133055i | ||||
\(467\) | −12.3430 | + | 7.12625i | −0.571167 | + | 0.329763i | −0.757615 | − | 0.652701i | \(-0.773636\pi\) |
0.186448 | + | 0.982465i | \(0.440302\pi\) | |||||||
\(468\) | −15.2676 | − | 12.2704i | −0.705743 | − | 0.567199i | ||||
\(469\) | 0.429639 | + | 0.829043i | 0.0198389 | + | 0.0382816i | ||||
\(470\) | −5.55936 | + | 10.2381i | −0.256434 | + | 0.472248i | ||||
\(471\) | −16.4564 | + | 7.36410i | −0.758273 | + | 0.339320i | ||||
\(472\) | −11.4178 | + | 7.84518i | −0.525546 | + | 0.361104i | ||||
\(473\) | −5.40722 | + | 3.12186i | −0.248624 | + | 0.143543i | ||||
\(474\) | −20.6193 | − | 14.1153i | −0.947077 | − | 0.648338i | ||||
\(475\) | 4.40164 | + | 7.62387i | 0.201961 | + | 0.349807i | ||||
\(476\) | 20.8826 | + | 11.8677i | 0.957151 | + | 0.543955i | ||||
\(477\) | −0.199009 | + | 0.222706i | −0.00911201 | + | 0.0101970i | ||||
\(478\) | 14.7853 | − | 27.2285i | 0.676263 | − | 1.24540i | ||||
\(479\) | 1.78640 | 0.0816228 | 0.0408114 | − | 0.999167i | \(-0.487006\pi\) | ||||
0.0408114 | + | 0.999167i | \(0.487006\pi\) | |||||||
\(480\) | −15.0300 | + | 0.418894i | −0.686021 | + | 0.0191198i | ||||
\(481\) | 3.86644 | 0.176294 | ||||||||
\(482\) | −15.8996 | + | 0.415701i | −0.724208 | + | 0.0189347i | ||||
\(483\) | −35.1587 | − | 5.25270i | −1.59978 | − | 0.239006i | ||||
\(484\) | −55.7276 | + | 2.91603i | −2.53307 | + | 0.132547i | ||||
\(485\) | −5.37578 | − | 9.31113i | −0.244102 | − | 0.422797i | ||||
\(486\) | −19.4718 | − | 10.3368i | −0.883259 | − | 0.468886i | ||||
\(487\) | 19.3845 | + | 11.1916i | 0.878394 | + | 0.507141i | 0.870128 | − | 0.492825i | \(-0.164036\pi\) |
0.00826522 | + | 0.999966i | \(0.497369\pi\) | |||||||
\(488\) | 5.08043 | + | 2.42400i | 0.229980 | + | 0.109729i | ||||
\(489\) | 5.97744 | + | 13.3577i | 0.270309 | + | 0.604056i | ||||
\(490\) | −15.1597 | − | 0.983714i | −0.684847 | − | 0.0444397i | ||||
\(491\) | 8.61752 | + | 4.97532i | 0.388903 | + | 0.224533i | 0.681685 | − | 0.731646i | \(-0.261248\pi\) |
−0.292782 | + | 0.956179i | \(0.594581\pi\) | |||||||
\(492\) | −18.2944 | − | 11.8336i | −0.824773 | − | 0.533500i | ||||
\(493\) | − | 24.6252i | − | 1.10907i | ||||||
\(494\) | −0.401601 | − | 15.3603i | −0.0180689 | − | 0.691093i | ||||
\(495\) | −5.86404 | + | 28.1091i | −0.263569 | + | 1.26341i | ||||
\(496\) | 19.0736 | − | 13.8531i | 0.856432 | − | 0.622022i | ||||
\(497\) | 24.2046 | + | 1.10132i | 1.08572 | + | 0.0494011i | ||||
\(498\) | 24.4871 | − | 11.7353i | 1.09730 | − | 0.525871i | ||||
\(499\) | 38.4192 | 1.71988 | 0.859940 | − | 0.510395i | \(-0.170501\pi\) | ||||
0.859940 | + | 0.510395i | \(0.170501\pi\) | |||||||
\(500\) | −23.4319 | + | 1.22611i | −1.04791 | + | 0.0548333i | ||||
\(501\) | 14.5081 | − | 20.0481i | 0.648175 | − | 0.895683i | ||||
\(502\) | −0.133729 | − | 5.11484i | −0.00596863 | − | 0.228286i | ||||
\(503\) | 6.10427 | 0.272176 | 0.136088 | − | 0.990697i | \(-0.456547\pi\) | ||||
0.136088 | + | 0.990697i | \(0.456547\pi\) | |||||||
\(504\) | −22.1159 | − | 3.85827i | −0.985121 | − | 0.171861i | ||||
\(505\) | −18.2028 | −0.810016 | ||||||||
\(506\) | 1.78840 | + | 68.4020i | 0.0795039 | + | 3.04084i | ||||
\(507\) | −1.65743 | − | 3.70384i | −0.0736092 | − | 0.164493i | ||||
\(508\) | −1.63259 | − | 31.2000i | −0.0724344 | − | 1.38428i | ||||
\(509\) | 12.9500 | 0.573999 | 0.286999 | − | 0.957931i | \(-0.407342\pi\) | ||||
0.286999 | + | 0.957931i | \(0.407342\pi\) | |||||||
\(510\) | −14.0796 | − | 9.63843i | −0.623455 | − | 0.426797i | ||||
\(511\) | 9.24594 | − | 14.4546i | 0.409016 | − | 0.639433i | ||||
\(512\) | −22.0041 | + | 5.27424i | −0.972455 | + | 0.233091i | ||||
\(513\) | −3.69126 | − | 16.8954i | −0.162973 | − | 0.745949i | ||||
\(514\) | −0.543472 | − | 20.7866i | −0.0239715 | − | 0.916855i | ||||
\(515\) | 13.6378i | 0.600952i | ||||||||
\(516\) | 1.57990 | + | 3.08695i | 0.0695514 | + | 0.135895i | ||||
\(517\) | 28.9961 | + | 16.7409i | 1.27525 | + | 0.736265i | ||||
\(518\) | 3.87992 | − | 2.14117i | 0.170474 | − | 0.0940775i | ||||
\(519\) | −4.68666 | + | 6.47628i | −0.205721 | + | 0.284277i | ||||
\(520\) | 12.7886 | + | 6.10174i | 0.560815 | + | 0.267579i | ||||
\(521\) | 2.76178 | + | 1.59451i | 0.120996 | + | 0.0698568i | 0.559276 | − | 0.828981i | \(-0.311079\pi\) |
−0.438281 | + | 0.898838i | \(0.644412\pi\) | |||||||
\(522\) | 7.76393 | + | 21.6674i | 0.339818 | + | 0.948354i | ||||
\(523\) | 0.917645 | + | 1.58941i | 0.0401258 | + | 0.0694999i | 0.885391 | − | 0.464847i | \(-0.153891\pi\) |
−0.845265 | + | 0.534347i | \(0.820557\pi\) | |||||||
\(524\) | −0.0407935 | − | 0.779596i | −0.00178207 | − | 0.0340568i | ||||
\(525\) | −11.9881 | − | 1.79102i | −0.523203 | − | 0.0781664i | ||||
\(526\) | 31.6926 | − | 0.828614i | 1.38186 | − | 0.0361293i | ||||
\(527\) | 26.7513 | 1.16531 | ||||||||
\(528\) | 0.0744961 | + | 43.2121i | 0.00324203 | + | 1.88057i | ||||
\(529\) | 37.1774 | 1.61641 | ||||||||
\(530\) | 0.103102 | − | 0.189873i | 0.00447848 | − | 0.00824754i | ||||
\(531\) | 13.9572 | − | 4.59325i | 0.605691 | − | 0.199330i | ||||
\(532\) | −8.90928 | − | 15.1915i | −0.386266 | − | 0.658634i | ||||
\(533\) | 10.2664 | + | 17.7820i | 0.444689 | + | 0.770223i | ||||
\(534\) | −28.8145 | + | 13.8091i | −1.24692 | + | 0.597580i | ||||
\(535\) | 4.40957 | − | 2.54586i | 0.190642 | − | 0.110067i | ||||
\(536\) | −0.565302 | − | 0.822734i | −0.0244173 | − | 0.0355367i | ||||
\(537\) | 27.7481 | + | 20.0803i | 1.19742 | + | 0.866530i | ||||
\(538\) | 18.5229 | − | 34.1116i | 0.798579 | − | 1.47066i | ||||
\(539\) | −3.96490 | + | 43.4796i | −0.170780 | + | 1.87280i | ||||
\(540\) | 15.4272 | + | 4.04164i | 0.663883 | + | 0.173924i | ||||
\(541\) | 5.04788 | − | 2.91439i | 0.217025 | − | 0.125300i | −0.387547 | − | 0.921850i | \(-0.626677\pi\) |
0.604572 | + | 0.796550i | \(0.293344\pi\) | |||||||
\(542\) | 32.3528 | − | 19.8240i | 1.38967 | − | 0.851514i | ||||
\(543\) | −4.10089 | + | 39.7382i | −0.175986 | + | 1.70533i | ||||
\(544\) | −23.7211 | − | 9.83121i | −1.01703 | − | 0.421510i | ||||
\(545\) | −15.8851 | − | 9.17126i | −0.680442 | − | 0.392854i | ||||
\(546\) | 16.8966 | + | 12.7322i | 0.723107 | + | 0.544889i | ||||
\(547\) | −5.54291 | − | 9.60060i | −0.236998 | − | 0.410492i | 0.722854 | − | 0.691001i | \(-0.242830\pi\) |
−0.959851 | + | 0.280509i | \(0.909497\pi\) | |||||||
\(548\) | −1.02048 | − | 19.5023i | −0.0435930 | − | 0.833095i | ||||
\(549\) | −4.45201 | − | 3.97831i | −0.190007 | − | 0.169790i | ||||
\(550\) | 0.609790 | + | 23.3231i | 0.0260015 | + | 0.994499i | ||||
\(551\) | −9.02779 | + | 15.6366i | −0.384597 | + | 0.666141i | ||||
\(552\) | 37.9921 | + | 0.927778i | 1.61705 | + | 0.0394888i | ||||
\(553\) | 22.7365 | + | 14.5435i | 0.966856 | + | 0.618454i | ||||
\(554\) | 0.444314 | + | 16.9940i | 0.0188771 | + | 0.722006i | ||||
\(555\) | −2.87346 | + | 1.28585i | −0.121972 | + | 0.0545811i | ||||
\(556\) | 1.22433 | − | 2.40240i | 0.0519230 | − | 0.101884i | ||||
\(557\) | 10.5032 | − | 18.1921i | 0.445035 | − | 0.770823i | −0.553020 | − | 0.833168i | \(-0.686525\pi\) |
0.998055 | + | 0.0623449i | \(0.0198579\pi\) | |||||||
\(558\) | −23.5381 | + | 8.43424i | −0.996445 | + | 0.357050i | ||||
\(559\) | − | 3.26799i | − | 0.138221i | ||||||
\(560\) | 16.2122 | − | 0.959068i | 0.685090 | − | 0.0405280i | ||||
\(561\) | −28.7485 | + | 39.7263i | −1.21376 | + | 1.67724i | ||||
\(562\) | −23.1563 | + | 14.1889i | −0.976788 | + | 0.598522i | ||||
\(563\) | −17.4578 | + | 10.0792i | −0.735757 | + | 0.424790i | −0.820525 | − | 0.571611i | \(-0.806319\pi\) |
0.0847675 | + | 0.996401i | \(0.472985\pi\) | |||||||
\(564\) | 10.0998 | − | 15.6140i | 0.425279 | − | 0.657468i | ||||
\(565\) | −20.8795 | − | 12.0548i | −0.878405 | − | 0.507148i | ||||
\(566\) | −1.17393 | − | 1.91585i | −0.0493438 | − | 0.0805291i | ||||
\(567\) | 21.3703 | + | 10.5029i | 0.897467 | + | 0.441082i | ||||
\(568\) | −25.8229 | + | 2.02915i | −1.08351 | + | 0.0851412i | ||||
\(569\) | −1.95814 | − | 1.13053i | −0.0820896 | − | 0.0473944i | 0.458393 | − | 0.888749i | \(-0.348425\pi\) |
−0.540483 | + | 0.841355i | \(0.681758\pi\) | |||||||
\(570\) | 5.40678 | + | 11.2819i | 0.226465 | + | 0.472547i | ||||
\(571\) | 5.43566 | + | 9.41484i | 0.227475 | + | 0.393999i | 0.957059 | − | 0.289893i | \(-0.0936196\pi\) |
−0.729584 | + | 0.683891i | \(0.760286\pi\) | |||||||
\(572\) | 18.4907 | − | 36.2828i | 0.773136 | − | 1.51706i | ||||
\(573\) | 15.0341 | − | 20.7750i | 0.628060 | − | 0.867888i | ||||
\(574\) | 20.1496 | + | 12.1586i | 0.841027 | + | 0.507491i | ||||
\(575\) | 20.5187 | 0.855690 | ||||||||
\(576\) | 23.9714 | + | 1.17148i | 0.998808 | + | 0.0488115i | ||||
\(577\) | −7.04893 | + | 12.2091i | −0.293451 | + | 0.508271i | −0.974623 | − | 0.223851i | \(-0.928137\pi\) |
0.681173 | + | 0.732123i | \(0.261470\pi\) | |||||||
\(578\) | −2.66321 | − | 4.34636i | −0.110775 | − | 0.180785i | ||||
\(579\) | 6.03400 | + | 13.4841i | 0.250765 | + | 0.560379i | ||||
\(580\) | −9.06726 | − | 13.9648i | −0.376497 | − | 0.579858i | ||||
\(581\) | −26.0405 | + | 13.4951i | −1.08034 | + | 0.559872i | ||||
\(582\) | 7.41681 | + | 15.4761i | 0.307437 | + | 0.641505i | ||||
\(583\) | −0.537754 | − | 0.310473i | −0.0222715 | − | 0.0128585i | ||||
\(584\) | −7.89908 | + | 16.5556i | −0.326866 | + | 0.685075i | ||||
\(585\) | −11.2067 | − | 10.0143i | −0.463340 | − | 0.414039i | ||||
\(586\) | −2.66346 | + | 4.90500i | −0.110026 | + | 0.202624i | ||||
\(587\) | 32.5083 | − | 18.7687i | 1.34176 | − | 0.774666i | 0.354695 | − | 0.934982i | \(-0.384585\pi\) |
0.987066 | + | 0.160316i | \(0.0512513\pi\) | |||||||
\(588\) | 24.0064 | + | 3.41959i | 0.990007 | + | 0.141022i | ||||
\(589\) | −16.9866 | − | 9.80722i | −0.699921 | − | 0.404100i | ||||
\(590\) | −9.06336 | + | 5.55353i | −0.373133 | + | 0.228635i | ||||
\(591\) | 0.564872 | + | 0.0582934i | 0.0232357 | + | 0.00239787i | ||||
\(592\) | −3.83317 | + | 2.78401i | −0.157542 | + | 0.114422i | ||||
\(593\) | −25.8105 | + | 14.9017i | −1.05991 | + | 0.611939i | −0.925407 | − | 0.378975i | \(-0.876277\pi\) |
−0.134502 | + | 0.990913i | \(0.542943\pi\) | |||||||
\(594\) | 12.7703 | − | 44.0184i | 0.523973 | − | 1.80610i | ||||
\(595\) | 15.5253 | + | 9.93083i | 0.636476 | + | 0.407124i | ||||
\(596\) | −9.77544 | + | 0.511514i | −0.400417 | + | 0.0209524i | ||||
\(597\) | 26.1087 | + | 18.8939i | 1.06856 | + | 0.773276i | ||||
\(598\) | −31.4734 | − | 17.0903i | −1.28704 | − | 0.698874i | ||||
\(599\) | −2.05397 | − | 3.55758i | −0.0839230 | − | 0.145359i | 0.821009 | − | 0.570916i | \(-0.193412\pi\) |
−0.904932 | + | 0.425557i | \(0.860078\pi\) | |||||||
\(600\) | 12.9542 | + | 0.316345i | 0.528852 | + | 0.0129147i | ||||
\(601\) | −0.580667 | − | 1.00575i | −0.0236859 | − | 0.0410252i | 0.853939 | − | 0.520372i | \(-0.174207\pi\) |
−0.877625 | + | 0.479347i | \(0.840874\pi\) | |||||||
\(602\) | −1.80976 | − | 3.27938i | −0.0737601 | − | 0.133658i | ||||
\(603\) | 0.330977 | + | 1.00572i | 0.0134784 | + | 0.0409560i | ||||
\(604\) | 0.880218 | + | 16.8216i | 0.0358155 | + | 0.684463i | ||||
\(605\) | −42.8179 | −1.74079 | ||||||||
\(606\) | 28.9698 | + | 2.22618i | 1.17682 | + | 0.0904325i | ||||
\(607\) | − | 32.1458i | − | 1.30476i | −0.757893 | − | 0.652379i | \(-0.773771\pi\) | ||
0.757893 | − | 0.652379i | \(-0.226229\pi\) | |||||||
\(608\) | 11.4583 | + | 14.9390i | 0.464694 | + | 0.605855i | ||||
\(609\) | −9.11257 | − | 23.1302i | −0.369260 | − | 0.937283i | ||||
\(610\) | 3.79566 | + | 2.06107i | 0.153682 | + | 0.0834505i | ||||
\(611\) | −15.1767 | + | 8.76226i | −0.613983 | + | 0.354483i | ||||
\(612\) | 21.2289 | + | 17.0615i | 0.858127 | + | 0.689668i | ||||
\(613\) | 27.9833 | + | 16.1561i | 1.13023 | + | 0.652540i | 0.943994 | − | 0.329964i | \(-0.107037\pi\) |
0.186240 | + | 0.982504i | \(0.440370\pi\) | |||||||
\(614\) | 18.4235 | − | 0.481690i | 0.743513 | − | 0.0194394i | ||||
\(615\) | −13.5435 | − | 9.80094i | −0.546126 | − | 0.395212i | ||||
\(616\) | −1.53760 | − | 46.6491i | −0.0619516 | − | 1.87955i | ||||
\(617\) | −7.59759 | − | 4.38647i | −0.305867 | − | 0.176593i | 0.339208 | − | 0.940711i | \(-0.389841\pi\) |
−0.645076 | + | 0.764119i | \(0.723174\pi\) | |||||||
\(618\) | 1.66788 | − | 21.7045i | 0.0670920 | − | 0.873082i | ||||
\(619\) | 15.4922 | 0.622683 | 0.311341 | − | 0.950298i | \(-0.399222\pi\) | ||||
0.311341 | + | 0.950298i | \(0.399222\pi\) | |||||||
\(620\) | 15.1705 | − | 9.85010i | 0.609262 | − | 0.395589i | ||||
\(621\) | −38.4057 | − | 12.2390i | −1.54117 | − | 0.491132i | ||||
\(622\) | −13.5452 | − | 22.1058i | −0.543114 | − | 0.886363i | ||||
\(623\) | 30.6424 | − | 15.8800i | 1.22766 | − | 0.636217i | ||||
\(624\) | −19.6067 | − | 11.2749i | −0.784897 | − | 0.451358i | ||||
\(625\) | −4.77847 | −0.191139 | ||||||||
\(626\) | −11.0102 | + | 20.2762i | −0.440055 | + | 0.810402i | ||||
\(627\) | 32.8187 | − | 14.6861i | 1.31065 | − | 0.586505i | ||||
\(628\) | −17.4604 | + | 11.3369i | −0.696747 | + | 0.452393i | ||||
\(629\) | −5.37612 | −0.214360 | ||||||||
\(630\) | −16.7915 | − | 3.84311i | −0.668989 | − | 0.153113i | ||||
\(631\) | 11.3457i | 0.451665i | 0.974166 | + | 0.225833i | \(0.0725103\pi\) | ||||
−0.974166 | + | 0.225833i | \(0.927490\pi\) | |||||||
\(632\) | −26.0413 | − | 12.4250i | −1.03587 | − | 0.494239i | ||||
\(633\) | −12.6427 | + | 17.4704i | −0.502502 | + | 0.694385i | ||||
\(634\) | −1.44285 | + | 2.65715i | −0.0573030 | + | 0.105529i | ||||
\(635\) | − | 23.9723i | − | 0.951312i | ||||||
\(636\) | −0.187309 | + | 0.289573i | −0.00742727 | + | 0.0114823i | ||||
\(637\) | −18.6708 | − | 13.1759i | −0.739766 | − | 0.522048i | ||||
\(638\) | −40.8016 | + | 25.0010i | −1.61535 | + | 0.989799i | ||||
\(639\) | 26.8948 | + | 5.61071i | 1.06394 | + | 0.221956i | ||||
\(640\) | −17.0720 | + | 3.15910i | −0.674831 | + | 0.124874i | ||||
\(641\) | − | 29.6759i | − | 1.17213i | −0.810266 | − | 0.586063i | \(-0.800677\pi\) | ||
0.810266 | − | 0.586063i | \(-0.199323\pi\) | |||||||
\(642\) | −7.32917 | + | 3.51245i | −0.289259 | + | 0.138625i | ||||
\(643\) | −0.245891 | + | 0.425896i | −0.00969700 | + | 0.0167957i | −0.870833 | − | 0.491579i | \(-0.836420\pi\) |
0.861136 | + | 0.508374i | \(0.169753\pi\) | |||||||
\(644\) | −41.0474 | + | 0.279519i | −1.61749 | + | 0.0110146i | ||||
\(645\) | 1.08682 | + | 2.42870i | 0.0427935 | + | 0.0956300i | ||||
\(646\) | 0.558409 | + | 21.3579i | 0.0219703 | + | 0.840314i | ||||
\(647\) | −23.3331 | + | 40.4141i | −0.917319 | + | 1.58884i | −0.113848 | + | 0.993498i | \(0.536318\pi\) |
−0.803470 | + | 0.595345i | \(0.797016\pi\) | |||||||
\(648\) | −24.0581 | − | 8.31899i | −0.945093 | − | 0.326801i | ||||
\(649\) | 15.2743 | + | 26.4559i | 0.599570 | + | 1.03849i | ||||
\(650\) | −10.7315 | − | 5.82729i | −0.420924 | − | 0.228565i | ||||
\(651\) | 25.1272 | − | 9.89932i | 0.984812 | − | 0.387985i | ||||
\(652\) | 9.20218 | + | 14.1726i | 0.360385 | + | 0.555043i | ||||
\(653\) | 24.7885 | 0.970048 | 0.485024 | − | 0.874501i | \(-0.338811\pi\) | ||||
0.485024 | + | 0.874501i | \(0.338811\pi\) | |||||||
\(654\) | 24.1594 | + | 16.5388i | 0.944709 | + | 0.646717i | ||||
\(655\) | − | 0.598996i | − | 0.0234047i | ||||||
\(656\) | −22.9819 | − | 10.2367i | −0.897292 | − | 0.399675i | ||||
\(657\) | 12.9641 | − | 14.5078i | 0.505778 | − | 0.566002i | ||||
\(658\) | −10.3772 | + | 17.1974i | −0.404546 | + | 0.670424i | ||||
\(659\) | −9.28864 | + | 5.36280i | −0.361834 | + | 0.208905i | −0.669885 | − | 0.742465i | \(-0.733657\pi\) |
0.308051 | + | 0.951370i | \(0.400323\pi\) | |||||||
\(660\) | −1.67550 | + | 33.1140i | −0.0652188 | + | 1.28896i | ||||
\(661\) | −2.31795 | + | 1.33827i | −0.0901580 | + | 0.0520527i | −0.544401 | − | 0.838825i | \(-0.683243\pi\) |
0.454243 | + | 0.890878i | \(0.349910\pi\) | |||||||
\(662\) | −1.86032 | + | 3.42595i | −0.0723033 | + | 0.133153i | ||||
\(663\) | −10.4836 | − | 23.4276i | −0.407150 | − | 0.909852i | ||||
\(664\) | 25.8424 | − | 17.7564i | 1.00288 | − | 0.689080i | ||||
\(665\) | −6.21758 | − | 11.9976i | −0.241107 | − | 0.465247i | ||||
\(666\) | 4.73036 | − | 1.69500i | 0.183298 | − | 0.0656799i | ||||
\(667\) | 21.0420 | + | 36.4458i | 0.814750 | + | 1.41119i | ||||
\(668\) | 12.9750 | − | 25.4598i | 0.502017 | − | 0.985067i | ||||
\(669\) | −20.3365 | + | 9.10041i | −0.786256 | + | 0.351842i | ||||
\(670\) | −0.400172 | − | 0.653081i | −0.0154600 | − | 0.0252307i | ||||
\(671\) | 6.20652 | − | 10.7500i | 0.239600 | − | 0.414999i | ||||
\(672\) | −25.9189 | − | 0.456373i | −0.999845 | − | 0.0176050i | ||||
\(673\) | −17.3671 | − | 30.0806i | −0.669451 | − | 1.15952i | −0.978058 | − | 0.208333i | \(-0.933196\pi\) |
0.308607 | − | 0.951190i | \(-0.400137\pi\) | |||||||
\(674\) | 5.37852 | − | 9.90504i | 0.207173 | − | 0.381528i | ||||
\(675\) | −13.0952 | − | 4.17312i | −0.504035 | − | 0.160624i | ||||
\(676\) | −2.55159 | − | 3.92981i | −0.0981383 | − | 0.151146i | ||||
\(677\) | 5.62976 | − | 9.75103i | 0.216369 | − | 0.374763i | −0.737326 | − | 0.675537i | \(-0.763912\pi\) |
0.953695 | + | 0.300774i | \(0.0972451\pi\) | |||||||
\(678\) | 31.7553 | + | 21.7387i | 1.21956 | + | 0.834868i | ||||
\(679\) | −8.52904 | − | 16.4578i | −0.327315 | − | 0.631594i | ||||
\(680\) | −17.7819 | − | 8.48420i | −0.681906 | − | 0.325354i | ||||
\(681\) | 5.10905 | − | 49.5074i | 0.195779 | − | 1.89713i | ||||
\(682\) | −27.1595 | − | 44.3243i | −1.03999 | − | 1.69727i | ||||
\(683\) | −16.1921 | − | 9.34849i | −0.619572 | − | 0.357710i | 0.157130 | − | 0.987578i | \(-0.449776\pi\) |
−0.776702 | + | 0.629868i | \(0.783109\pi\) | |||||||
\(684\) | −7.22511 | − | 18.6164i | −0.276259 | − | 0.711815i | ||||
\(685\) | − | 14.9844i | − | 0.572525i | ||||||
\(686\) | −26.0325 | − | 2.88226i | −0.993927 | − | 0.110045i | ||||
\(687\) | −0.967404 | + | 9.37428i | −0.0369088 | + | 0.357651i | ||||
\(688\) | 2.35310 | + | 3.23986i | 0.0897110 | + | 0.123519i | ||||
\(689\) | 0.281463 | − | 0.162503i | 0.0107229 | − | 0.00619085i | ||||
\(690\) | 29.0740 | + | 2.23419i | 1.10683 | + | 0.0850542i | ||||
\(691\) | 23.2016 | − | 40.1864i | 0.882631 | − | 1.52876i | 0.0342262 | − | 0.999414i | \(-0.489103\pi\) |
0.848405 | − | 0.529348i | \(-0.177563\pi\) | |||||||
\(692\) | −4.19140 | + | 8.22444i | −0.159333 | + | 0.312646i | ||||
\(693\) | −12.3024 | + | 47.9528i | −0.467331 | + | 1.82158i | ||||
\(694\) | 32.2357 | − | 19.7523i | 1.22365 | − | 0.749787i | ||||
\(695\) | 1.03446 | − | 1.79173i | 0.0392392 | − | 0.0679643i | ||||
\(696\) | 12.7226 | + | 23.3339i | 0.482251 | + | 0.884470i | ||||
\(697\) | −14.2750 | − | 24.7251i | −0.540705 | − | 0.936529i | ||||
\(698\) | −21.8736 | + | 13.4029i | −0.827927 | + | 0.507308i | ||||
\(699\) | −6.14578 | + | 2.75018i | −0.232455 | + | 0.104021i | ||||
\(700\) | −13.9960 | + | 0.0953079i | −0.528997 | + | 0.00360230i | ||||
\(701\) | 30.1057 | 1.13708 | 0.568538 | − | 0.822657i | \(-0.307509\pi\) | ||||
0.568538 | + | 0.822657i | \(0.307509\pi\) | |||||||
\(702\) | 16.6107 | + | 17.3083i | 0.626931 | + | 0.653258i | ||||
\(703\) | 3.41374 | + | 1.97092i | 0.128752 | + | 0.0743348i | ||||
\(704\) | 7.79365 | + | 49.2847i | 0.293734 | + | 1.85749i | ||||
\(705\) | 8.36497 | − | 11.5592i | 0.315043 | − | 0.435344i | ||||
\(706\) | −0.695410 | − | 26.5978i | −0.0261721 | − | 1.00102i | ||||
\(707\) | −31.3508 | − | 1.42648i | −1.17907 | − | 0.0536483i | ||||
\(708\) | 15.1035 | − | 7.73000i | 0.567625 | − | 0.290511i | ||||
\(709\) | −31.8463 | − | 18.3865i | −1.19601 | − | 0.690519i | −0.236350 | − | 0.971668i | \(-0.575951\pi\) |
−0.959664 | + | 0.281149i | \(0.909285\pi\) | |||||||
\(710\) | −19.8680 | + | 0.519457i | −0.745634 | + | 0.0194949i | ||||
\(711\) | 22.8202 | + | 20.3921i | 0.855824 | + | 0.764762i | ||||
\(712\) | −30.4092 | + | 20.8942i | −1.13963 | + | 0.783044i | ||||
\(713\) | −39.5924 | + | 22.8587i | −1.48275 | + | 0.856065i | ||||
\(714\) | −23.4940 | − | 17.7036i | −0.879240 | − | 0.662542i | ||||
\(715\) | 15.6232 | − | 27.0601i | 0.584273 | − | 1.01199i | ||||
\(716\) | 35.2382 | + | 17.9584i | 1.31691 | + | 0.671136i | ||||
\(717\) | −22.2469 | + | 30.7420i | −0.830825 | + | 1.14808i | ||||
\(718\) | 3.06044 | + | 4.99463i | 0.114214 | + | 0.186398i | ||||
\(719\) | 11.8401 | + | 20.5076i | 0.441560 | + | 0.764805i | 0.997805 | − | 0.0662135i | \(-0.0210918\pi\) |
−0.556245 | + | 0.831018i | \(0.687759\pi\) | |||||||
\(720\) | 18.3210 | + | 1.85877i | 0.682782 | + | 0.0692721i | ||||
\(721\) | −1.06873 | + | 23.4883i | −0.0398017 | + | 0.874751i | ||||
\(722\) | −5.34687 | + | 9.84676i | −0.198990 | + | 0.366459i | ||||
\(723\) | 19.3767 | + | 1.99963i | 0.720628 | + | 0.0743672i | ||||
\(724\) | 2.41049 | + | 46.0664i | 0.0895853 | + | 1.71204i | ||||
\(725\) | 7.17471 | + | 12.4270i | 0.266462 | + | 0.461526i | ||||
\(726\) | 68.1446 | + | 5.23657i | 2.52908 | + | 0.194347i | ||||
\(727\) | 8.33317 | − | 4.81116i | 0.309060 | − | 0.178436i | −0.337446 | − | 0.941345i | \(-0.609563\pi\) |
0.646506 | + | 0.762909i | \(0.276230\pi\) | |||||||
\(728\) | 21.5476 | + | 11.5112i | 0.798606 | + | 0.426634i | ||||
\(729\) | 22.0217 | + | 15.6220i | 0.815617 | + | 0.578593i | ||||
\(730\) | −6.71642 | + | 12.3689i | −0.248586 | + | 0.457794i | ||||
\(731\) | 4.54400i | 0.168066i | ||||||||
\(732\) | −5.78872 | − | 3.74440i | −0.213957 | − | 0.138397i | ||||
\(733\) | 38.3410i | 1.41616i | 0.706134 | + | 0.708078i | \(0.250437\pi\) | ||||
−0.706134 | + | 0.708078i | \(0.749563\pi\) | |||||||
\(734\) | −1.16731 | − | 44.6468i | −0.0430861 | − | 1.64794i | ||||
\(735\) | 18.2576 | + | 3.58278i | 0.673443 | + | 0.132153i | ||||
\(736\) | 43.5083 | − | 5.71900i | 1.60374 | − | 0.210805i | ||||
\(737\) | −1.90634 | + | 1.10063i | −0.0702210 | + | 0.0405421i | ||||
\(738\) | 20.3558 | + | 17.2545i | 0.749307 | + | 0.635148i | ||||
\(739\) | −25.7732 | + | 44.6405i | −0.948084 | + | 1.64213i | −0.198628 | + | 0.980075i | \(0.563648\pi\) |
−0.749456 | + | 0.662054i | \(0.769685\pi\) | |||||||
\(740\) | −3.04877 | + | 1.97954i | −0.112075 | + | 0.0727693i | ||||
\(741\) | −1.93181 | + | 18.7195i | −0.0709667 | + | 0.687677i | ||||
\(742\) | 0.192453 | − | 0.318938i | 0.00706517 | − | 0.0117086i | ||||
\(743\) | −1.93298 | + | 3.34802i | −0.0709142 | + | 0.122827i | −0.899302 | − | 0.437328i | \(-0.855925\pi\) |
0.828388 | + | 0.560155i | \(0.189258\pi\) | |||||||
\(744\) | −25.3485 | + | 13.8211i | −0.929321 | + | 0.506705i | ||||
\(745\) | −7.51088 | −0.275177 | ||||||||
\(746\) | −0.676619 | − | 25.8791i | −0.0247728 | − | 0.947501i | ||||
\(747\) | −31.5900 | + | 10.3961i | −1.15582 | + | 0.380374i | ||||
\(748\) | −25.7106 | + | 50.4497i | −0.940071 | + | 1.84462i | ||||
\(749\) | 7.79411 | − | 4.03918i | 0.284790 | − | 0.147589i | ||||
\(750\) | 28.6529 | + | 2.20183i | 1.04626 | + | 0.0803995i | ||||
\(751\) | 28.5563i | 1.04203i | 0.853546 | + | 0.521017i | \(0.174447\pi\) | ||||
−0.853546 | + | 0.521017i | \(0.825553\pi\) | |||||||
\(752\) | 8.73686 | − | 19.6147i | 0.318600 | − | 0.715276i | ||||
\(753\) | −0.643273 | + | 6.23341i | −0.0234422 | + | 0.227158i | ||||
\(754\) | −0.654612 | − | 25.0374i | −0.0238396 | − | 0.911809i | ||||
\(755\) | 12.9248i | 0.470381i | ||||||||
\(756\) | 26.2536 | + | 8.16988i | 0.954835 | + | 0.297136i | ||||
\(757\) | − | 51.6601i | − | 1.87762i | −0.344439 | − | 0.938809i | \(-0.611931\pi\) | ||
0.344439 | − | 0.938809i | \(-0.388069\pi\) | |||||||
\(758\) | 29.7856 | − | 0.778756i | 1.08186 | − | 0.0282857i | ||||
\(759\) | 8.60265 | − | 83.3609i | 0.312257 | − | 3.02581i | ||||
\(760\) | 8.18085 | + | 11.9063i | 0.296750 | + | 0.431887i | ||||
\(761\) | 14.1446i | 0.512741i | 0.966579 | + | 0.256371i | \(0.0825268\pi\) | ||||
−0.966579 | + | 0.256371i | \(0.917473\pi\) | |||||||
\(762\) | −2.93178 | + | 38.1519i | −0.106207 | + | 1.38210i | ||||
\(763\) | −26.6402 | − | 17.0405i | −0.964439 | − | 0.616908i | ||||
\(764\) | 13.4454 | − | 26.3828i | 0.486438 | − | 0.954498i | ||||
\(765\) | 15.5824 | + | 13.9244i | 0.563384 | + | 0.503438i | ||||
\(766\) | 20.6235 | − | 0.539210i | 0.745159 | − | 0.0194824i | ||||
\(767\) | −15.9893 | −0.577340 | ||||||||
\(768\) | 27.5564 | − | 2.93982i | 0.994357 | − | 0.106082i | ||||
\(769\) | 22.1002 | − | 38.2787i | 0.796954 | − | 1.38037i | −0.124636 | − | 0.992202i | \(-0.539776\pi\) |
0.921591 | − | 0.388163i | \(-0.126890\pi\) | |||||||
\(770\) | 0.692216 | − | 35.8063i | 0.0249457 | − | 1.29037i | ||||
\(771\) | −2.61424 | + | 25.3324i | −0.0941497 | + | 0.912324i | ||||
\(772\) | 9.28926 | + | 14.3067i | 0.334328 | + | 0.514911i | ||||
\(773\) | 17.4762 | − | 30.2697i | 0.628576 | − | 1.08872i | −0.359262 | − | 0.933237i | \(-0.616972\pi\) |
0.987838 | − | 0.155488i | \(-0.0496951\pi\) | |||||||
\(774\) | −1.43265 | − | 3.99819i | −0.0514954 | − | 0.143712i | ||||
\(775\) | −13.4999 | + | 7.79415i | −0.484929 | + | 0.279974i | ||||
\(776\) | 11.2222 | + | 16.3326i | 0.402852 | + | 0.586307i | ||||
\(777\) | −5.04973 | + | 1.98943i | −0.181158 | + | 0.0713705i | ||||
\(778\) | 2.82676 | − | 0.0739067i | 0.101344 | − | 0.00264968i | ||||
\(779\) | 20.9333i | 0.750014i | ||||||||
\(780\) | −14.5715 | − | 9.42548i | −0.521742 | − | 0.337486i | ||||
\(781\) | 57.1193i | 2.04389i | ||||||||
\(782\) | 43.7624 | + | 23.7633i | 1.56494 | + | 0.849774i | ||||
\(783\) | −6.01678 | − | 27.5396i | −0.215022 | − | 0.984184i | ||||
\(784\) | 27.9974 | − | 0.381324i | 0.999907 | − | 0.0136187i | ||||
\(785\) | −13.8335 | + | 7.98678i | −0.493739 | + | 0.285060i | ||||
\(786\) | −0.0732564 | + | 0.953301i | −0.00261297 | + | 0.0340031i | ||||
\(787\) | −5.07149 | − | 8.78407i | −0.180779 | − | 0.313118i | 0.761367 | − | 0.648321i | \(-0.224529\pi\) |
−0.942146 | + | 0.335203i | \(0.891195\pi\) | |||||||
\(788\) | 0.654826 | − | 0.0342647i | 0.0233272 | − | 0.00122063i | ||||
\(789\) | −38.6234 | − | 3.98585i | −1.37503 | − | 0.141900i | ||||
\(790\) | −19.4558 | − | 10.5647i | −0.692208 | − | 0.375875i | ||||
\(791\) | −35.0160 | − | 22.3982i | −1.24503 | − | 0.796387i | ||||
\(792\) | 6.71636 | − | 52.4960i | 0.238655 | − | 1.86536i | ||||
\(793\) | 3.24851 | + | 5.62659i | 0.115358 | + | 0.199806i | ||||
\(794\) | 5.84498 | − | 3.58148i | 0.207430 | − | 0.127102i | ||||
\(795\) | −0.155134 | + | 0.214373i | −0.00550205 | + | 0.00760304i | ||||
\(796\) | 33.1562 | + | 16.8973i | 1.17519 | + | 0.598910i | ||||
\(797\) | 25.0975 | − | 43.4702i | 0.889000 | − | 1.53979i | 0.0479414 | − | 0.998850i | \(-0.484734\pi\) |
0.841059 | − | 0.540944i | \(-0.181933\pi\) | |||||||
\(798\) | 8.42798 | + | 19.8546i | 0.298347 | + | 0.702844i | ||||
\(799\) | 21.1025 | − | 12.1836i | 0.746554 | − | 0.431023i | ||||
\(800\) | 14.8350 | − | 1.95001i | 0.524498 | − | 0.0689433i | ||||
\(801\) | 37.1725 | − | 12.2333i | 1.31343 | − | 0.432242i | ||||
\(802\) | 0.147656 | + | 5.64752i | 0.00521393 | + | 0.199421i | ||||
\(803\) | 35.0310 | + | 20.2252i | 1.23622 | + | 0.713730i | ||||
\(804\) | 0.557003 | + | 1.08832i | 0.0196440 | + | 0.0383820i | ||||
\(805\) | −31.4635 | − | 1.43161i | −1.10894 | − | 0.0504576i | ||||
\(806\) | 27.1991 | − | 0.711130i | 0.958046 | − | 0.0250485i | ||||
\(807\) | −27.8707 | + | 38.5133i | −0.981096 | + | 1.35573i | ||||
\(808\) | 33.4469 | − | 2.62824i | 1.17666 | − | 0.0924611i | ||||
\(809\) | 9.22103 | + | 5.32376i | 0.324194 | + | 0.187174i | 0.653261 | − | 0.757133i | \(-0.273401\pi\) |
−0.329066 | + | 0.944307i | \(0.606734\pi\) | |||||||
\(810\) | −18.1009 | − | 7.33899i | −0.636000 | − | 0.257866i | ||||
\(811\) | −24.6522 | −0.865657 | −0.432828 | − | 0.901476i | \(-0.642484\pi\) | ||||
−0.432828 | + | 0.901476i | \(0.642484\pi\) | |||||||
\(812\) | −14.5222 | − | 24.7622i | −0.509629 | − | 0.868983i | ||||
\(813\) | −42.4175 | + | 18.9814i | −1.48765 | + | 0.665708i | ||||
\(814\) | 5.45815 | + | 8.90771i | 0.191308 | + | 0.312215i | ||||
\(815\) | 6.48287 | + | 11.2287i | 0.227085 | + | 0.393323i | ||||
\(816\) | 27.2623 | + | 15.6773i | 0.954372 | + | 0.548815i | ||||
\(817\) | 1.66586 | − | 2.88536i | 0.0582812 | − | 0.100946i | ||||
\(818\) | −11.3820 | − | 18.5754i | −0.397962 | − | 0.649474i | ||||
\(819\) | −18.5165 | − | 18.1258i | −0.647020 | − | 0.633367i | ||||
\(820\) | −17.1993 | − | 8.76524i | −0.600626 | − | 0.306095i | ||||
\(821\) | 10.6762 | − | 18.4918i | 0.372603 | − | 0.645368i | −0.617362 | − | 0.786679i | \(-0.711799\pi\) |
0.989965 | + | 0.141312i | \(0.0451320\pi\) | |||||||
\(822\) | −1.83257 | + | 23.8477i | −0.0639183 | + | 0.831782i | ||||
\(823\) | 22.9813 | − | 13.2683i | 0.801078 | − | 0.462503i | −0.0427700 | − | 0.999085i | \(-0.513618\pi\) |
0.843848 | + | 0.536582i | \(0.180285\pi\) | |||||||
\(824\) | −1.96911 | − | 25.0588i | −0.0685970 | − | 0.872965i | ||||
\(825\) | 2.93325 | − | 28.4236i | 0.102123 | − | 0.989584i | ||||
\(826\) | −16.0450 | + | 8.85459i | −0.558278 | + | 0.308091i | ||||
\(827\) | 6.79099i | 0.236146i | 0.993005 | + | 0.118073i | \(0.0376717\pi\) | ||||
−0.993005 | + | 0.118073i | \(0.962328\pi\) | |||||||
\(828\) | −45.9980 | − | 7.11142i | −1.59854 | − | 0.247139i | ||||
\(829\) | 22.9009 | + | 13.2218i | 0.795380 | + | 0.459213i | 0.841853 | − | 0.539707i | \(-0.181465\pi\) |
−0.0464732 | + | 0.998920i | \(0.514798\pi\) | |||||||
\(830\) | 20.5135 | − | 12.5696i | 0.712034 | − | 0.436296i | ||||
\(831\) | 2.13727 | − | 20.7104i | 0.0741410 | − | 0.718437i | ||||
\(832\) | −24.3794 | − | 9.36519i | −0.845205 | − | 0.324680i | ||||
\(833\) | 25.9610 | + | 18.3205i | 0.899496 | + | 0.634769i | ||||
\(834\) | −1.86546 | + | 2.72503i | −0.0645957 | + | 0.0943599i | ||||
\(835\) | 10.9628 | − | 18.9882i | 0.379384 | − | 0.657112i | ||||
\(836\) | 34.8210 | − | 22.6090i | 1.20431 | − | 0.781948i | ||||
\(837\) | 29.9172 | − | 6.53625i | 1.03409 | − | 0.225926i | ||||
\(838\) | −24.2988 | − | 13.1944i | −0.839387 | − | 0.455794i | ||||
\(839\) | −9.29504 | − | 16.0995i | −0.320900 | − | 0.555816i | 0.659774 | − | 0.751464i | \(-0.270652\pi\) |
−0.980674 | + | 0.195649i | \(0.937319\pi\) | |||||||
\(840\) | −19.8419 | − | 1.38891i | −0.684612 | − | 0.0479220i | ||||
\(841\) | −0.215358 | + | 0.373012i | −0.00742615 | + | 0.0128625i | ||||
\(842\) | 13.1393 | − | 8.05103i | 0.452809 | − | 0.277457i | ||||
\(843\) | 30.3600 | − | 13.5858i | 1.04565 | − | 0.467921i | ||||
\(844\) | −11.3067 | + | 22.1862i | −0.389193 | + | 0.763680i | ||||
\(845\) | −1.79758 | − | 3.11350i | −0.0618386 | − | 0.107108i | ||||
\(846\) | −14.7265 | + | 17.3734i | −0.506308 | + | 0.597309i | ||||
\(847\) | −73.7452 | − | 3.35545i | −2.53392 | − | 0.115295i | ||||
\(848\) | −0.162031 | + | 0.363770i | −0.00556418 | + | 0.0124919i | ||||
\(849\) | 1.12403 | + | 2.51186i | 0.0385767 | + | 0.0862067i | ||||
\(850\) | 14.9217 | + | 8.10259i | 0.511809 | + | 0.277917i | ||||
\(851\) | 7.95676 | − | 4.59384i | 0.272754 | − | 0.157475i | ||||
\(852\) | 31.6835 | + | 1.60312i | 1.08546 | + | 0.0549220i | ||||
\(853\) | −8.78659 | + | 5.07294i | −0.300847 | + | 0.173694i | −0.642823 | − | 0.766014i | \(-0.722237\pi\) |
0.341976 | + | 0.939709i | \(0.388904\pi\) | |||||||
\(854\) | 6.37575 | + | 3.84724i | 0.218174 | + | 0.131650i | ||||
\(855\) | −4.78978 | − | 14.5544i | −0.163807 | − | 0.497750i | ||||
\(856\) | −7.73480 | + | 5.31460i | −0.264370 | + | 0.181649i | ||||
\(857\) | 41.4131i | 1.41464i | 0.706891 | + | 0.707322i | \(0.250097\pi\) | ||||
−0.706891 | + | 0.707322i | \(0.749903\pi\) | |||||||
\(858\) | −28.1736 | + | 41.1554i | −0.961832 | + | 1.40502i | ||||
\(859\) | −21.2965 | −0.726629 | −0.363314 | − | 0.931667i | \(-0.618355\pi\) | ||||
−0.363314 | + | 0.931667i | \(0.618355\pi\) | |||||||
\(860\) | 1.67315 | + | 2.57687i | 0.0570538 | + | 0.0878707i | ||||
\(861\) | −22.5579 | − | 17.9415i | −0.768771 | − | 0.611445i | ||||
\(862\) | −22.0966 | + | 40.6930i | −0.752615 | + | 1.38601i | ||||
\(863\) | 4.71283 | + | 8.16287i | 0.160427 | + | 0.277867i | 0.935022 | − | 0.354590i | \(-0.115380\pi\) |
−0.774595 | + | 0.632457i | \(0.782046\pi\) | |||||||
\(864\) | −28.9305 | − | 5.19885i | −0.984234 | − | 0.176869i | ||||
\(865\) | −3.54139 | + | 6.13388i | −0.120411 | + | 0.208558i | ||||
\(866\) | −16.5879 | + | 0.433696i | −0.563679 | + | 0.0147376i | ||||
\(867\) | 2.55001 | + | 5.69848i | 0.0866030 | + | 0.193530i | ||||
\(868\) | 26.9001 | − | 15.7760i | 0.913049 | − | 0.535472i | ||||
\(869\) | −31.8135 | + | 55.1025i | −1.07920 | + | 1.86922i | ||||
\(870\) | 8.81308 | + | 18.3896i | 0.298791 | + | 0.623465i | ||||
\(871\) | − | 1.15215i | − | 0.0390389i | ||||||
\(872\) | 30.5124 | + | 14.5582i | 1.03328 | + | 0.493003i | ||||
\(873\) | −6.57044 | − | 19.9652i | −0.222376 | − | 0.675718i | ||||
\(874\) | −19.0765 | − | 31.1329i | −0.645273 | − | 1.05309i | ||||
\(875\) | −31.0078 | − | 1.41087i | −1.04826 | − | 0.0476963i | ||||
\(876\) | 12.2019 | − | 18.8637i | 0.412263 | − | 0.637345i | ||||
\(877\) | − | 41.4892i | − | 1.40099i | −0.713657 | − | 0.700496i | \(-0.752962\pi\) | ||
0.713657 | − | 0.700496i | \(-0.247038\pi\) | |||||||
\(878\) | −24.4305 | − | 13.2660i | −0.824490 | − | 0.447705i | ||||
\(879\) | 4.00761 | − | 5.53793i | 0.135173 | − | 0.186790i | ||||
\(880\) | 3.99577 | + | 38.0766i | 0.134697 | + | 1.28356i | ||||
\(881\) | − | 11.8644i | − | 0.399723i | −0.979824 | − | 0.199862i | \(-0.935951\pi\) | ||
0.979824 | − | 0.199862i | \(-0.0640492\pi\) | |||||||
\(882\) | −28.6188 | − | 7.93487i | −0.963646 | − | 0.267181i | ||||
\(883\) | 30.0882 | 1.01255 | 0.506275 | − | 0.862372i | \(-0.331022\pi\) | ||||
0.506275 | + | 0.862372i | \(0.331022\pi\) | |||||||
\(884\) | −16.1394 | − | 24.8569i | −0.542826 | − | 0.836028i | ||||
\(885\) | 11.8829 | − | 5.31749i | 0.399440 | − | 0.178745i | ||||
\(886\) | −3.75922 | − | 2.04129i | −0.126293 | − | 0.0685783i | ||||
\(887\) | 11.8375 | 0.397466 | 0.198733 | − | 0.980054i | \(-0.436317\pi\) | ||||
0.198733 | + | 0.980054i | \(0.436317\pi\) | |||||||
\(888\) | 5.09420 | − | 2.77757i | 0.170950 | − | 0.0932093i | ||||
\(889\) | 1.87861 | − | 41.2875i | 0.0630065 | − | 1.38474i | ||||
\(890\) | −24.1386 | + | 14.7908i | −0.809129 | + | 0.495790i | ||||
\(891\) | −22.4443 | + | 51.4520i | −0.751914 | + | 1.72371i | ||||
\(892\) | −21.5772 | + | 14.0099i | −0.722460 | + | 0.469088i | ||||
\(893\) | −17.8663 | −0.597873 | ||||||||
\(894\) | 11.9536 | + | 0.918571i | 0.399787 | + | 0.0307216i | ||||
\(895\) | 26.2810 | + | 15.1734i | 0.878478 | + | 0.507190i | ||||
\(896\) | −29.6507 | + | 4.10306i | −0.990561 | + | 0.137074i | ||||
\(897\) | 35.5346 | + | 25.7151i | 1.18647 | + | 0.858603i | ||||
\(898\) | −0.879266 | − | 33.6299i | −0.0293415 | − | 1.12224i | ||||
\(899\) | −27.6883 | − | 15.9858i | −0.923456 | − | 0.533158i | ||||
\(900\) | −15.6840 | − | 2.42479i | −0.522799 | − | 0.0808262i | ||||
\(901\) | −0.391362 | + | 0.225953i | −0.0130382 | + | 0.00752758i | ||||
\(902\) | −26.4742 | + | 48.7547i | −0.881494 | + | 1.62335i | ||||
\(903\) | 1.68151 | + | 4.26812i | 0.0559570 | + | 0.142034i | ||||
\(904\) | 40.1057 | + | 19.1354i | 1.33389 | + | 0.636434i | ||||
\(905\) | 35.3947i | 1.17656i | ||||||||
\(906\) | 1.58068 | − | 20.5698i | 0.0525147 | − | 0.683384i | ||||
\(907\) | −6.30335 | −0.209299 | −0.104650 | − | 0.994509i | \(-0.533372\pi\) | ||||
−0.104650 | + | 0.994509i | \(0.533372\pi\) | |||||||
\(908\) | −3.00309 | − | 57.3914i | −0.0996610 | − | 1.90460i | ||||
\(909\) | −34.8352 | − | 7.26723i | −1.15541 | − | 0.241039i | ||||
\(910\) | 16.0492 | + | 9.68434i | 0.532024 | + | 0.321033i | ||||
\(911\) | 29.7328 | + | 51.4988i | 0.985093 | + | 1.70623i | 0.641522 | + | 0.767105i | \(0.278303\pi\) |
0.343571 | + | 0.939127i | \(0.388363\pi\) | |||||||
\(912\) | −11.5637 | − | 19.9494i | −0.382912 | − | 0.660590i | ||||
\(913\) | −34.5711 | − | 59.8789i | −1.14414 | − | 1.98170i | ||||
\(914\) | 2.90865 | − | 5.35655i | 0.0962097 | − | 0.177179i | ||||
\(915\) | −4.28544 | − | 3.10122i | −0.141672 | − | 0.102523i | ||||
\(916\) | 0.568638 | + | 10.8671i | 0.0187883 | + | 0.359059i | ||||
\(917\) | 0.0469408 | − | 1.03165i | 0.00155012 | − | 0.0340681i | ||||
\(918\) | −23.0965 | − | 24.0664i | −0.762297 | − | 0.794309i | ||||
\(919\) | 3.41421 | − | 1.97120i | 0.112624 | − | 0.0650237i | −0.442630 | − | 0.896705i | \(-0.645954\pi\) |
0.555254 | + | 0.831681i | \(0.312621\pi\) | |||||||
\(920\) | 33.5673 | − | 2.63769i | 1.10668 | − | 0.0869622i | ||||
\(921\) | −22.4526 | − | 2.31706i | −0.739838 | − | 0.0763496i | ||||
\(922\) | 7.47520 | + | 12.1995i | 0.246182 | + | 0.401770i | ||||
\(923\) | −25.8911 | − | 14.9482i | −0.852216 | − | 0.492027i | ||||
\(924\) | −5.48072 | + | 56.9010i | −0.180303 | + | 1.87191i | ||||
\(925\) | 2.71302 | − | 1.56636i | 0.0892036 | − | 0.0515017i | ||||
\(926\) | 51.0703 | + | 27.7316i | 1.67827 | + | 0.911316i | ||||
\(927\) | −5.44469 | + | 26.0989i | −0.178827 | + | 0.857201i | ||||
\(928\) | 18.6770 | + | 24.3506i | 0.613104 | + | 0.799347i | ||||
\(929\) | −14.8451 | − | 8.57082i | −0.487052 | − | 0.281199i | 0.236299 | − | 0.971680i | \(-0.424066\pi\) |
−0.723350 | + | 0.690481i | \(0.757399\pi\) | |||||||
\(930\) | −19.9773 | + | 9.57398i | −0.655081 | + | 0.313943i | ||||
\(931\) | −9.76834 | − | 21.1507i | −0.320145 | − | 0.693187i | ||||
\(932\) | −6.52073 | + | 4.23386i | −0.213594 | + | 0.138685i | ||||
\(933\) | 12.9695 | + | 28.9828i | 0.424603 | + | 0.948854i | ||||
\(934\) | 17.1863 | − | 10.5308i | 0.562353 | − | 0.344579i | ||||
\(935\) | −21.7233 | + | 37.6259i | −0.710429 | + | 1.23050i | ||||
\(936\) | 22.0378 | + | 16.7827i | 0.720326 | + | 0.548560i | ||||
\(937\) | 37.3927 | 1.22157 | 0.610783 | − | 0.791798i | \(-0.290855\pi\) | ||||
0.610783 | + | 0.791798i | \(0.290855\pi\) | |||||||
\(938\) | −0.638038 | − | 1.15616i | −0.0208327 | − | 0.0377500i | ||||
\(939\) | 16.5666 | − | 22.8926i | 0.540630 | − | 0.747073i | ||||
\(940\) | 7.48102 | − | 14.6794i | 0.244004 | − | 0.478789i | ||||
\(941\) | −3.38543 | − | 5.86373i | −0.110362 | − | 0.191152i | 0.805554 | − | 0.592522i | \(-0.201868\pi\) |
−0.915916 | + | 0.401370i | \(0.868534\pi\) | |||||||
\(942\) | 22.9928 | − | 11.0191i | 0.749145 | − | 0.359023i | ||||
\(943\) | 42.2546 | + | 24.3957i | 1.37600 | + | 0.794434i | ||||
\(944\) | 15.8517 | − | 11.5130i | 0.515929 | − | 0.374716i | ||||
\(945\) | 19.7891 | + | 7.31276i | 0.643740 | + | 0.237884i | ||||
\(946\) | 7.52896 | − | 4.61333i | 0.244788 | − | 0.149992i | ||||
\(947\) | −52.9104 | − | 30.5479i | −1.71936 | − | 0.992672i | −0.920100 | − | 0.391684i | \(-0.871893\pi\) |
−0.799258 | − | 0.600988i | \(-0.794774\pi\) | |||||||
\(948\) | 29.6719 | + | 19.1931i | 0.963699 | + | 0.623363i | ||||
\(949\) | −18.3354 | + | 10.5859i | −0.595191 | + | 0.343634i | ||||
\(950\) | −6.50453 | − | 10.6154i | −0.211035 | − | 0.344409i | ||||
\(951\) | 2.17101 | − | 3.00002i | 0.0703997 | − | 0.0972822i | ||||
\(952\) | −29.9610 | − | 16.0058i | −0.971041 | − | 0.518752i | ||||
\(953\) | − | 2.02083i | − | 0.0654610i | −0.999464 | − | 0.0327305i | \(-0.989580\pi\) | ||
0.999464 | − | 0.0327305i | \(-0.0104203\pi\) | |||||||
\(954\) | 0.273114 | − | 0.322202i | 0.00884239 | − | 0.0104317i | ||||
\(955\) | 11.3603 | − | 19.6766i | 0.367611 | − | 0.636720i | ||||
\(956\) | −19.8960 | + | 39.0402i | −0.643482 | + | 1.26265i | ||||
\(957\) | 53.4947 | − | 23.9384i | 1.72924 | − | 0.773818i | ||||
\(958\) | −2.52549 | + | 0.0660299i | −0.0815949 | + | 0.00213333i | ||||
\(959\) | 1.17426 | − | 25.8077i | 0.0379190 | − | 0.833373i | ||||
\(960\) | 21.2328 | − | 1.14775i | 0.685287 | − | 0.0370434i | ||||
\(961\) | 1.86601 | − | 3.23202i | 0.0601938 | − | 0.104259i | ||||
\(962\) | −5.46610 | + | 0.142913i | −0.176234 | + | 0.00460771i | ||||
\(963\) | 9.45510 | − | 3.11163i | 0.304686 | − | 0.100271i | ||||
\(964\) | 22.4624 | − | 1.17538i | 0.723465 | − | 0.0378564i | ||||
\(965\) | 6.54421 | + | 11.3349i | 0.210666 | + | 0.364884i | ||||
\(966\) | 49.8991 | + | 6.12635i | 1.60548 | + | 0.197112i | ||||
\(967\) | 23.0402 | + | 13.3022i | 0.740922 | + | 0.427771i | 0.822404 | − | 0.568903i | \(-0.192632\pi\) |
−0.0814826 | + | 0.996675i | \(0.525965\pi\) | |||||||
\(968\) | 78.6760 | − | 6.18231i | 2.52874 | − | 0.198707i | ||||
\(969\) | 2.68610 | − | 26.0286i | 0.0862898 | − | 0.836160i | ||||
\(970\) | 7.94407 | + | 12.9647i | 0.255069 | + | 0.416272i | ||||
\(971\) | 7.35598 | − | 4.24698i | 0.236065 | − | 0.136292i | −0.377302 | − | 0.926090i | \(-0.623148\pi\) |
0.613367 | + | 0.789798i | \(0.289815\pi\) | |||||||
\(972\) | 27.9099 | + | 13.8937i | 0.895212 | + | 0.445641i | ||||
\(973\) | 1.92206 | − | 3.00484i | 0.0616183 | − | 0.0963306i | ||||
\(974\) | −27.8181 | − | 15.1054i | −0.891348 | − | 0.484009i | ||||
\(975\) | 12.1163 | + | 8.76811i | 0.388031 | + | 0.280804i | ||||
\(976\) | −7.27195 | − | 3.23910i | −0.232770 | − | 0.103681i | ||||
\(977\) | 3.60383 | − | 2.08067i | 0.115297 | − | 0.0665665i | −0.441243 | − | 0.897388i | \(-0.645462\pi\) |
0.556539 | + | 0.830821i | \(0.312129\pi\) | |||||||
\(978\) | −8.94422 | − | 18.6632i | −0.286005 | − | 0.596784i | ||||
\(979\) | 40.6804 | + | 70.4606i | 1.30015 | + | 2.25193i | ||||
\(980\) | 21.4681 | + | 0.830365i | 0.685775 | + | 0.0265250i | ||||
\(981\) | −26.7382 | − | 23.8932i | −0.853685 | − | 0.762850i | ||||
\(982\) | −12.3667 | − | 6.71524i | −0.394639 | − | 0.214292i | ||||
\(983\) | −1.29371 | −0.0412631 | −0.0206315 | − | 0.999787i | \(-0.506568\pi\) | ||||
−0.0206315 | + | 0.999787i | \(0.506568\pi\) | |||||||
\(984\) | 26.3007 | + | 16.0533i | 0.838435 | + | 0.511761i | ||||
\(985\) | 0.503130 | 0.0160311 | ||||||||
\(986\) | 0.910210 | + | 34.8135i | 0.0289870 | + | 1.10869i | ||||
\(987\) | 15.3128 | − | 19.2529i | 0.487413 | − | 0.612825i | ||||
\(988\) | 1.13551 | + | 21.7005i | 0.0361254 | + | 0.690385i | ||||
\(989\) | −3.88280 | − | 6.72520i | −0.123466 | − | 0.213849i | ||||
\(990\) | 7.25119 | − | 39.9555i | 0.230458 | − | 1.26987i | ||||
\(991\) | −42.7263 | − | 24.6680i | −1.35725 | − | 0.783606i | −0.367994 | − | 0.929828i | \(-0.619955\pi\) |
−0.989252 | + | 0.146222i | \(0.953289\pi\) | |||||||
\(992\) | −26.4530 | + | 20.2895i | −0.839882 | + | 0.644194i | ||||
\(993\) | 2.79915 | − | 3.86802i | 0.0888284 | − | 0.122748i | ||||
\(994\) | −34.2594 | − | 0.662312i | −1.08664 | − | 0.0210073i | ||||
\(995\) | 24.7283 | + | 14.2769i | 0.783939 | + | 0.452607i | ||||
\(996\) | −34.1845 | + | 17.4956i | −1.08318 | + | 0.554371i | ||||
\(997\) | 30.9947i | 0.981612i | 0.871269 | + | 0.490806i | \(0.163298\pi\) | ||||
−0.871269 | + | 0.490806i | \(0.836702\pi\) | |||||||
\(998\) | −54.3144 | + | 1.42007i | −1.71929 | + | 0.0449515i | ||||
\(999\) | −6.01237 | + | 1.31357i | −0.190223 | + | 0.0415594i |
(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 | 504.2.cy.a.347.1 | yes | 184 | |
7.2 | even | 3 | 504.2.bt.a.275.62 | yes | 184 | ||
8.3 | odd | 2 | inner | 504.2.cy.a.347.30 | yes | 184 | |
9.2 | odd | 6 | 504.2.bt.a.11.31 | ✓ | 184 | ||
56.51 | odd | 6 | 504.2.bt.a.275.31 | yes | 184 | ||
63.2 | odd | 6 | inner | 504.2.cy.a.443.30 | yes | 184 | |
72.11 | even | 6 | 504.2.bt.a.11.62 | yes | 184 | ||
504.443 | even | 6 | inner | 504.2.cy.a.443.1 | yes | 184 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.bt.a.11.31 | ✓ | 184 | 9.2 | odd | 6 | ||
504.2.bt.a.11.62 | yes | 184 | 72.11 | even | 6 | ||
504.2.bt.a.275.31 | yes | 184 | 56.51 | odd | 6 | ||
504.2.bt.a.275.62 | yes | 184 | 7.2 | even | 3 | ||
504.2.cy.a.347.1 | yes | 184 | 1.1 | even | 1 | trivial | |
504.2.cy.a.347.30 | yes | 184 | 8.3 | odd | 2 | inner | |
504.2.cy.a.443.1 | yes | 184 | 504.443 | even | 6 | inner | |
504.2.cy.a.443.30 | yes | 184 | 63.2 | odd | 6 | inner |