Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), degree \(20\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 7.4 | ||
Character | \(\chi\) | \(=\) | 690.7 |
Dual form | 690.2.w.b.493.4 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{19}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.997452 | + | 0.0713392i | −0.705305 | + | 0.0504444i | ||||
\(3\) | −0.212565 | + | 0.977147i | −0.122725 | + | 0.564156i | ||||
\(4\) | 0.989821 | − | 0.142315i | 0.494911 | − | 0.0711574i | ||||
\(5\) | 1.62532 | + | 1.53569i | 0.726866 | + | 0.686779i | ||||
\(6\) | 0.142315 | − | 0.989821i | 0.0580998 | − | 0.404093i | ||||
\(7\) | 1.83156 | − | 3.35425i | 0.692265 | − | 1.26779i | −0.260908 | − | 0.965364i | \(-0.584022\pi\) |
0.953173 | − | 0.302425i | \(-0.0977962\pi\) | |||||||
\(8\) | −0.977147 | + | 0.212565i | −0.345474 | + | 0.0751532i | ||||
\(9\) | −0.909632 | − | 0.415415i | −0.303211 | − | 0.138472i | ||||
\(10\) | −1.73074 | − | 1.41582i | −0.547307 | − | 0.447723i | ||||
\(11\) | 1.05421 | − | 0.913477i | 0.317856 | − | 0.275424i | −0.481289 | − | 0.876562i | \(-0.659831\pi\) |
0.799145 | + | 0.601138i | \(0.205286\pi\) | |||||||
\(12\) | −0.0713392 | + | 0.997452i | −0.0205938 | + | 0.287940i | ||||
\(13\) | 4.41465 | − | 2.41058i | 1.22440 | − | 0.668574i | 0.268789 | − | 0.963199i | \(-0.413376\pi\) |
0.955613 | + | 0.294625i | \(0.0951946\pi\) | |||||||
\(14\) | −1.58760 | + | 3.47637i | −0.424305 | + | 0.929099i | ||||
\(15\) | −1.84608 | + | 1.26174i | −0.476655 | + | 0.325781i | ||||
\(16\) | 0.959493 | − | 0.281733i | 0.239873 | − | 0.0704331i | ||||
\(17\) | −4.62698 | − | 6.18092i | −1.12221 | − | 1.49909i | −0.842255 | − | 0.539079i | \(-0.818773\pi\) |
−0.279951 | − | 0.960014i | \(-0.590318\pi\) | |||||||
\(18\) | 0.936950 | + | 0.349464i | 0.220841 | + | 0.0823695i | ||||
\(19\) | −0.753219 | − | 5.23875i | −0.172800 | − | 1.20185i | −0.872933 | − | 0.487840i | \(-0.837785\pi\) |
0.700133 | − | 0.714013i | \(-0.253124\pi\) | |||||||
\(20\) | 1.82733 | + | 1.28875i | 0.408603 | + | 0.288173i | ||||
\(21\) | 2.88827 | + | 2.50270i | 0.630273 | + | 0.546134i | ||||
\(22\) | −0.986355 | + | 0.986355i | −0.210292 | + | 0.210292i | ||||
\(23\) | 4.78172 | + | 0.367647i | 0.997057 | + | 0.0766598i | ||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | 0.283342 | + | 4.99197i | 0.0566683 | + | 0.998393i | ||||
\(26\) | −4.23143 | + | 2.71937i | −0.829852 | + | 0.533313i | ||||
\(27\) | 0.599278 | − | 0.800541i | 0.115331 | − | 0.154064i | ||||
\(28\) | 1.33556 | − | 3.58077i | 0.252397 | − | 0.676702i | ||||
\(29\) | −5.88683 | − | 0.846398i | −1.09316 | − | 0.157172i | −0.427928 | − | 0.903813i | \(-0.640756\pi\) |
−0.665228 | + | 0.746640i | \(0.731666\pi\) | |||||||
\(30\) | 1.75136 | − | 1.39023i | 0.319753 | − | 0.253820i | ||||
\(31\) | −8.20400 | − | 5.27239i | −1.47348 | − | 0.946949i | −0.997728 | − | 0.0673712i | \(-0.978539\pi\) |
−0.475754 | − | 0.879578i | \(-0.657825\pi\) | |||||||
\(32\) | −0.936950 | + | 0.349464i | −0.165631 | + | 0.0617771i | ||||
\(33\) | 0.668513 | + | 1.22429i | 0.116373 | + | 0.213121i | ||||
\(34\) | 5.05613 | + | 5.83508i | 0.867119 | + | 1.00071i | ||||
\(35\) | 8.12795 | − | 2.63904i | 1.37388 | − | 0.446079i | ||||
\(36\) | −0.959493 | − | 0.281733i | −0.159915 | − | 0.0469554i | ||||
\(37\) | 0.492162 | + | 1.31954i | 0.0809110 | + | 0.216931i | 0.971106 | − | 0.238649i | \(-0.0767046\pi\) |
−0.890195 | + | 0.455580i | \(0.849432\pi\) | |||||||
\(38\) | 1.12503 | + | 5.17167i | 0.182504 | + | 0.838956i | ||||
\(39\) | 1.41709 | + | 4.82616i | 0.226916 | + | 0.772805i | ||||
\(40\) | −1.91461 | − | 1.15510i | −0.302727 | − | 0.182638i | ||||
\(41\) | 2.71326 | + | 5.94121i | 0.423740 | + | 0.927860i | 0.994301 | + | 0.106606i | \(0.0339983\pi\) |
−0.570562 | + | 0.821255i | \(0.693274\pi\) | |||||||
\(42\) | −3.05945 | − | 2.29028i | −0.472084 | − | 0.353398i | ||||
\(43\) | 4.16455 | + | 0.905943i | 0.635088 | + | 0.138155i | 0.518572 | − | 0.855034i | \(-0.326464\pi\) |
0.116516 | + | 0.993189i | \(0.462827\pi\) | |||||||
\(44\) | 0.913477 | − | 1.05421i | 0.137712 | − | 0.158928i | ||||
\(45\) | −0.840498 | − | 2.07209i | −0.125294 | − | 0.308889i | ||||
\(46\) | −4.79576 | − | 0.0255868i | −0.707097 | − | 0.00377256i | ||||
\(47\) | 7.10477 | + | 7.10477i | 1.03634 | + | 1.03634i | 0.999314 | + | 0.0370233i | \(0.0117876\pi\) |
0.0370233 | + | 0.999314i | \(0.488212\pi\) | |||||||
\(48\) | 0.0713392 | + | 0.997452i | 0.0102969 | + | 0.143970i | ||||
\(49\) | −4.11192 | − | 6.39827i | −0.587417 | − | 0.914038i | ||||
\(50\) | −0.638742 | − | 4.95903i | −0.0903318 | − | 0.701313i | ||||
\(51\) | 7.02320 | − | 3.20739i | 0.983445 | − | 0.449124i | ||||
\(52\) | 4.02665 | − | 3.01431i | 0.558396 | − | 0.418010i | ||||
\(53\) | 2.49158 | + | 1.36051i | 0.342245 | + | 0.186880i | 0.641174 | − | 0.767395i | \(-0.278448\pi\) |
−0.298929 | + | 0.954275i | \(0.596629\pi\) | |||||||
\(54\) | −0.540641 | + | 0.841254i | −0.0735719 | + | 0.114480i | ||||
\(55\) | 3.11624 | + | 0.134239i | 0.420194 | + | 0.0181007i | ||||
\(56\) | −1.07671 | + | 3.66692i | −0.143881 | + | 0.490013i | ||||
\(57\) | 5.27914 | + | 0.377572i | 0.699239 | + | 0.0500106i | ||||
\(58\) | 5.93221 | + | 0.424280i | 0.778937 | + | 0.0557107i | ||||
\(59\) | −1.11079 | + | 3.78300i | −0.144612 | + | 0.492505i | −0.999661 | − | 0.0260435i | \(-0.991709\pi\) |
0.855048 | + | 0.518548i | \(0.173527\pi\) | |||||||
\(60\) | −1.64772 | + | 1.51163i | −0.212720 | + | 0.195150i | ||||
\(61\) | −1.03298 | + | 1.60735i | −0.132259 | + | 0.205800i | −0.901066 | − | 0.433681i | \(-0.857214\pi\) |
0.768807 | + | 0.639481i | \(0.220851\pi\) | |||||||
\(62\) | 8.55923 | + | 4.67369i | 1.08702 | + | 0.593559i | ||||
\(63\) | −3.05945 | + | 2.29028i | −0.385455 | + | 0.288548i | ||||
\(64\) | 0.909632 | − | 0.415415i | 0.113704 | − | 0.0519269i | ||||
\(65\) | 10.8771 | + | 2.86154i | 1.34914 | + | 0.354930i | ||||
\(66\) | −0.754149 | − | 1.17348i | −0.0928294 | − | 0.144445i | ||||
\(67\) | −0.824851 | − | 11.5329i | −0.100772 | − | 1.40897i | −0.756510 | − | 0.653983i | \(-0.773097\pi\) |
0.655738 | − | 0.754989i | \(-0.272358\pi\) | |||||||
\(68\) | −5.45952 | − | 5.45952i | −0.662064 | − | 0.662064i | ||||
\(69\) | −1.37567 | + | 4.59429i | −0.165612 | + | 0.553088i | ||||
\(70\) | −7.91898 | + | 3.21216i | −0.946499 | + | 0.383926i | ||||
\(71\) | −2.57260 | + | 2.96894i | −0.305312 | + | 0.352348i | −0.887584 | − | 0.460645i | \(-0.847618\pi\) |
0.582273 | + | 0.812993i | \(0.302164\pi\) | |||||||
\(72\) | 0.977147 | + | 0.212565i | 0.115158 | + | 0.0250511i | ||||
\(73\) | 6.27093 | + | 4.69436i | 0.733957 | + | 0.549434i | 0.899580 | − | 0.436756i | \(-0.143873\pi\) |
−0.165623 | + | 0.986189i | \(0.552963\pi\) | |||||||
\(74\) | −0.585043 | − | 1.28107i | −0.0680099 | − | 0.148921i | ||||
\(75\) | −4.93811 | − | 0.784252i | −0.570204 | − | 0.0905576i | ||||
\(76\) | −1.49111 | − | 5.07824i | −0.171041 | − | 0.582514i | ||||
\(77\) | −1.13319 | − | 5.20917i | −0.129138 | − | 0.593640i | ||||
\(78\) | −1.75777 | − | 4.71277i | −0.199029 | − | 0.533616i | ||||
\(79\) | 7.27596 | + | 2.13642i | 0.818610 | + | 0.240366i | 0.664117 | − | 0.747628i | \(-0.268808\pi\) |
0.154493 | + | 0.987994i | \(0.450626\pi\) | |||||||
\(80\) | 1.99214 | + | 1.01557i | 0.222728 | + | 0.113545i | ||||
\(81\) | 0.654861 | + | 0.755750i | 0.0727623 | + | 0.0839722i | ||||
\(82\) | −3.13019 | − | 5.73251i | −0.345671 | − | 0.633049i | ||||
\(83\) | 8.24914 | − | 3.07677i | 0.905461 | − | 0.337720i | 0.146771 | − | 0.989171i | \(-0.453112\pi\) |
0.758691 | + | 0.651451i | \(0.225839\pi\) | |||||||
\(84\) | 3.21505 | + | 2.06618i | 0.350790 | + | 0.225439i | ||||
\(85\) | 1.97162 | − | 17.1516i | 0.213852 | − | 1.86035i | ||||
\(86\) | −4.21857 | − | 0.606539i | −0.454900 | − | 0.0654048i | ||||
\(87\) | 2.07839 | − | 5.57238i | 0.222827 | − | 0.597422i | ||||
\(88\) | −0.835943 | + | 1.11669i | −0.0891118 | + | 0.119039i | ||||
\(89\) | −0.749222 | + | 0.481496i | −0.0794174 | + | 0.0510384i | −0.579747 | − | 0.814797i | \(-0.696849\pi\) |
0.500330 | + | 0.865835i | \(0.333212\pi\) | |||||||
\(90\) | 0.986178 | + | 2.00685i | 0.103952 | + | 0.211541i | ||||
\(91\) | − | 19.2230i | − | 2.01511i | ||||||
\(92\) | 4.78537 | − | 0.316604i | 0.498909 | − | 0.0330083i | ||||
\(93\) | 6.89579 | − | 6.89579i | 0.715060 | − | 0.715060i | ||||
\(94\) | −7.59352 | − | 6.57982i | −0.783212 | − | 0.678657i | ||||
\(95\) | 6.82085 | − | 9.67137i | 0.699805 | − | 0.992262i | ||||
\(96\) | −0.142315 | − | 0.989821i | −0.0145249 | − | 0.101023i | ||||
\(97\) | −4.59194 | − | 1.71270i | −0.466241 | − | 0.173899i | 0.105354 | − | 0.994435i | \(-0.466402\pi\) |
−0.571595 | + | 0.820536i | \(0.693675\pi\) | |||||||
\(98\) | 4.55789 | + | 6.08862i | 0.460416 | + | 0.615044i | ||||
\(99\) | −1.33841 | + | 0.392994i | −0.134516 | + | 0.0394973i | ||||
\(100\) | 0.990888 | + | 4.90083i | 0.0990888 | + | 0.490083i | ||||
\(101\) | −6.92270 | + | 15.1586i | −0.688835 | + | 1.50834i | 0.164169 | + | 0.986432i | \(0.447506\pi\) |
−0.853003 | + | 0.521905i | \(0.825221\pi\) | |||||||
\(102\) | −6.77649 | + | 3.70024i | −0.670973 | + | 0.366379i | ||||
\(103\) | −1.30717 | + | 18.2766i | −0.128799 | + | 1.80085i | 0.364721 | + | 0.931117i | \(0.381164\pi\) |
−0.493520 | + | 0.869734i | \(0.664290\pi\) | |||||||
\(104\) | −3.80135 | + | 3.29389i | −0.372753 | + | 0.322993i | ||||
\(105\) | 0.851009 | + | 8.50317i | 0.0830500 | + | 0.829825i | ||||
\(106\) | −2.58229 | − | 1.17929i | −0.250815 | − | 0.114543i | ||||
\(107\) | 3.50380 | − | 0.762205i | 0.338725 | − | 0.0736852i | −0.0399855 | − | 0.999200i | \(-0.512731\pi\) |
0.378711 | + | 0.925515i | \(0.376368\pi\) | |||||||
\(108\) | 0.479249 | − | 0.877679i | 0.0461158 | − | 0.0844547i | ||||
\(109\) | −1.71969 | + | 11.9607i | −0.164717 | + | 1.14563i | 0.724877 | + | 0.688878i | \(0.241897\pi\) |
−0.889594 | + | 0.456752i | \(0.849013\pi\) | |||||||
\(110\) | −3.11788 | + | 0.0884134i | −0.297278 | + | 0.00842989i | ||||
\(111\) | −1.39400 | + | 0.200427i | −0.132313 | + | 0.0190237i | ||||
\(112\) | 0.812368 | − | 3.73439i | 0.0767615 | − | 0.352867i | ||||
\(113\) | −8.15955 | + | 0.583582i | −0.767585 | + | 0.0548988i | −0.449640 | − | 0.893210i | \(-0.648448\pi\) |
−0.317946 | + | 0.948109i | \(0.602993\pi\) | |||||||
\(114\) | −5.29263 | −0.495700 | ||||||||
\(115\) | 7.20724 | + | 7.94076i | 0.672079 | + | 0.740480i | ||||
\(116\) | −5.94736 | −0.552199 | ||||||||
\(117\) | −5.01709 | + | 0.358830i | −0.463831 | + | 0.0331738i | ||||
\(118\) | 0.838083 | − | 3.85260i | 0.0771518 | − | 0.354661i | ||||
\(119\) | −29.2070 | + | 4.19933i | −2.67740 | + | 0.384952i | ||||
\(120\) | 1.53569 | − | 1.62532i | 0.140188 | − | 0.148371i | ||||
\(121\) | −1.28855 | + | 8.96205i | −0.117141 | + | 0.814732i | ||||
\(122\) | 0.915681 | − | 1.67694i | 0.0829018 | − | 0.151823i | ||||
\(123\) | −6.38218 | + | 1.38836i | −0.575461 | + | 0.125184i | ||||
\(124\) | −8.87084 | − | 4.05118i | −0.796625 | − | 0.363806i | ||||
\(125\) | −7.20557 | + | 8.54867i | −0.644485 | + | 0.764617i | ||||
\(126\) | 2.88827 | − | 2.50270i | 0.257308 | − | 0.222958i | ||||
\(127\) | 0.356283 | − | 4.98149i | 0.0316150 | − | 0.442036i | −0.956850 | − | 0.290584i | \(-0.906150\pi\) |
0.988465 | − | 0.151452i | \(-0.0483950\pi\) | |||||||
\(128\) | −0.877679 | + | 0.479249i | −0.0775766 | + | 0.0423600i | ||||
\(129\) | −1.77048 | + | 3.87681i | −0.155882 | + | 0.341334i | ||||
\(130\) | −11.0535 | − | 2.07829i | −0.969459 | − | 0.182278i | ||||
\(131\) | 9.01082 | − | 2.64582i | 0.787279 | − | 0.231166i | 0.136708 | − | 0.990611i | \(-0.456348\pi\) |
0.650571 | + | 0.759445i | \(0.274530\pi\) | |||||||
\(132\) | 0.835943 | + | 1.11669i | 0.0727595 | + | 0.0971953i | ||||
\(133\) | −18.9517 | − | 7.06861i | −1.64332 | − | 0.612926i | ||||
\(134\) | 1.64550 | + | 11.4447i | 0.142149 | + | 0.988671i | ||||
\(135\) | 2.20340 | − | 0.380835i | 0.189638 | − | 0.0327771i | ||||
\(136\) | 5.83508 | + | 5.05613i | 0.500354 | + | 0.433560i | ||||
\(137\) | 1.70416 | − | 1.70416i | 0.145597 | − | 0.145597i | −0.630551 | − | 0.776148i | \(-0.717171\pi\) |
0.776148 | + | 0.630551i | \(0.217171\pi\) | |||||||
\(138\) | 1.04441 | − | 4.68073i | 0.0889065 | − | 0.398450i | ||||
\(139\) | 10.4039i | 0.882443i | 0.897398 | + | 0.441222i | \(0.145455\pi\) | ||||
−0.897398 | + | 0.441222i | \(0.854545\pi\) | |||||||
\(140\) | 7.66965 | − | 3.76891i | 0.648204 | − | 0.318531i | ||||
\(141\) | −8.45264 | + | 5.43218i | −0.711840 | + | 0.457472i | ||||
\(142\) | 2.35424 | − | 3.14490i | 0.197564 | − | 0.263914i | ||||
\(143\) | 2.45195 | − | 6.57393i | 0.205042 | − | 0.549739i | ||||
\(144\) | −0.989821 | − | 0.142315i | −0.0824851 | − | 0.0118596i | ||||
\(145\) | −8.26819 | − | 10.4160i | −0.686636 | − | 0.865000i | ||||
\(146\) | −6.58985 | − | 4.23504i | −0.545380 | − | 0.350494i | ||||
\(147\) | 7.12610 | − | 2.65790i | 0.587751 | − | 0.219220i | ||||
\(148\) | 0.674943 | + | 1.23606i | 0.0554799 | + | 0.101604i | ||||
\(149\) | −9.78309 | − | 11.2903i | −0.801462 | − | 0.924936i | 0.196999 | − | 0.980404i | \(-0.436881\pi\) |
−0.998460 | + | 0.0554674i | \(0.982335\pi\) | |||||||
\(150\) | 4.98148 | + | 0.429973i | 0.406736 | + | 0.0351072i | ||||
\(151\) | 17.5211 | + | 5.14465i | 1.42585 | + | 0.418666i | 0.901478 | − | 0.432826i | \(-0.142483\pi\) |
0.524368 | + | 0.851492i | \(0.324302\pi\) | |||||||
\(152\) | 1.84958 | + | 4.95892i | 0.150021 | + | 0.402222i | ||||
\(153\) | 1.64120 | + | 7.54448i | 0.132683 | + | 0.609935i | ||||
\(154\) | 1.50192 | + | 5.11506i | 0.121028 | + | 0.412183i | ||||
\(155\) | −5.23741 | − | 21.1681i | −0.420679 | − | 1.70026i | ||||
\(156\) | 2.08950 | + | 4.57537i | 0.167294 | + | 0.366323i | ||||
\(157\) | −3.50993 | − | 2.62750i | −0.280123 | − | 0.209697i | 0.449973 | − | 0.893042i | \(-0.351434\pi\) |
−0.730096 | + | 0.683345i | \(0.760525\pi\) | |||||||
\(158\) | −7.40984 | − | 1.61191i | −0.589495 | − | 0.128237i | ||||
\(159\) | −1.85904 | + | 2.14545i | −0.147431 | + | 0.170145i | ||||
\(160\) | −2.05951 | − | 0.870868i | −0.162819 | − | 0.0688482i | ||||
\(161\) | 9.99119 | − | 15.3657i | 0.787416 | − | 1.21099i | ||||
\(162\) | −0.707107 | − | 0.707107i | −0.0555556 | − | 0.0555556i | ||||
\(163\) | 1.17486 | + | 16.4267i | 0.0920223 | + | 1.28664i | 0.808277 | + | 0.588802i | \(0.200400\pi\) |
−0.716255 | + | 0.697839i | \(0.754145\pi\) | |||||||
\(164\) | 3.53116 | + | 5.49460i | 0.275737 | + | 0.429056i | ||||
\(165\) | −0.793575 | + | 3.01649i | −0.0617797 | + | 0.234833i | ||||
\(166\) | −8.00863 | + | 3.65742i | −0.621590 | + | 0.283871i | ||||
\(167\) | −10.8836 | + | 8.14738i | −0.842201 | + | 0.630463i | −0.930769 | − | 0.365607i | \(-0.880862\pi\) |
0.0885689 | + | 0.996070i | \(0.471771\pi\) | |||||||
\(168\) | −3.35425 | − | 1.83156i | −0.258786 | − | 0.141308i | ||||
\(169\) | 6.64988 | − | 10.3474i | 0.511529 | − | 0.795955i | ||||
\(170\) | −0.743016 | + | 17.2485i | −0.0569867 | + | 1.32290i | ||||
\(171\) | −1.49111 | + | 5.07824i | −0.114028 | + | 0.388343i | ||||
\(172\) | 4.25109 | + | 0.304044i | 0.324143 | + | 0.0231831i | ||||
\(173\) | −11.8848 | − | 0.850021i | −0.903588 | − | 0.0646259i | −0.388193 | − | 0.921578i | \(-0.626900\pi\) |
−0.515396 | + | 0.856952i | \(0.672355\pi\) | |||||||
\(174\) | −1.67557 | + | 5.70645i | −0.127024 | + | 0.432605i | ||||
\(175\) | 17.2633 | + | 8.19269i | 1.30498 | + | 0.619309i | ||||
\(176\) | 0.754149 | − | 1.17348i | 0.0568461 | − | 0.0884543i | ||||
\(177\) | −3.46043 | − | 1.88954i | −0.260102 | − | 0.142026i | ||||
\(178\) | 0.712964 | − | 0.533718i | 0.0534389 | − | 0.0400038i | ||||
\(179\) | 2.43174 | − | 1.11054i | 0.181757 | − | 0.0830057i | −0.322458 | − | 0.946584i | \(-0.604509\pi\) |
0.504215 | + | 0.863578i | \(0.331782\pi\) | |||||||
\(180\) | −1.12683 | − | 1.93139i | −0.0839891 | − | 0.143957i | ||||
\(181\) | −8.67364 | − | 13.4965i | −0.644707 | − | 1.00318i | −0.997715 | − | 0.0675630i | \(-0.978478\pi\) |
0.353008 | − | 0.935620i | \(-0.385159\pi\) | |||||||
\(182\) | 1.37135 | + | 19.1740i | 0.101651 | + | 1.42127i | ||||
\(183\) | −1.35104 | − | 1.35104i | −0.0998717 | − | 0.0998717i | ||||
\(184\) | −4.75059 | + | 0.657182i | −0.350218 | + | 0.0484481i | ||||
\(185\) | −1.22647 | + | 2.90048i | −0.0901721 | + | 0.213248i | ||||
\(186\) | −6.38628 | + | 7.37016i | −0.468265 | + | 0.540406i | ||||
\(187\) | −10.5239 | − | 2.28934i | −0.769585 | − | 0.167413i | ||||
\(188\) | 8.04357 | + | 6.02134i | 0.586638 | + | 0.439152i | ||||
\(189\) | −1.58760 | − | 3.47637i | −0.115481 | − | 0.252869i | ||||
\(190\) | −6.11353 | + | 10.1333i | −0.443522 | + | 0.735148i | ||||
\(191\) | 0.451628 | + | 1.53810i | 0.0326786 | + | 0.111293i | 0.974217 | − | 0.225612i | \(-0.0724381\pi\) |
−0.941539 | + | 0.336905i | \(0.890620\pi\) | |||||||
\(192\) | 0.212565 | + | 0.977147i | 0.0153406 | + | 0.0705195i | ||||
\(193\) | −5.54786 | − | 14.8744i | −0.399344 | − | 1.07068i | −0.968622 | − | 0.248537i | \(-0.920050\pi\) |
0.569278 | − | 0.822145i | \(-0.307223\pi\) | |||||||
\(194\) | 4.70242 | + | 1.38076i | 0.337614 | + | 0.0991324i | ||||
\(195\) | −5.10824 | + | 10.0203i | −0.365809 | + | 0.717566i | ||||
\(196\) | −4.98063 | − | 5.74796i | −0.355759 | − | 0.410568i | ||||
\(197\) | 2.39927 | + | 4.39393i | 0.170941 | + | 0.313054i | 0.949079 | − | 0.315039i | \(-0.102018\pi\) |
−0.778138 | + | 0.628093i | \(0.783836\pi\) | |||||||
\(198\) | 1.30697 | − | 0.487474i | 0.0928821 | − | 0.0346432i | ||||
\(199\) | 11.1390 | + | 7.15862i | 0.789625 | + | 0.507461i | 0.872215 | − | 0.489122i | \(-0.162683\pi\) |
−0.0825900 | + | 0.996584i | \(0.526319\pi\) | |||||||
\(200\) | −1.33798 | − | 4.81765i | −0.0946098 | − | 0.340660i | ||||
\(201\) | 11.4447 | + | 1.64550i | 0.807247 | + | 0.116065i | ||||
\(202\) | 5.82366 | − | 15.6138i | 0.409751 | − | 1.09859i | ||||
\(203\) | −13.6211 | + | 18.1957i | −0.956015 | + | 1.27709i | ||||
\(204\) | 6.49525 | − | 4.17425i | 0.454759 | − | 0.292256i | ||||
\(205\) | −4.71391 | + | 13.8231i | −0.329233 | + | 0.965446i | ||||
\(206\) | − | 18.3233i | − | 1.27665i | ||||||
\(207\) | −4.19688 | − | 2.32082i | −0.291703 | − | 0.161308i | ||||
\(208\) | 3.55668 | − | 3.55668i | 0.246612 | − | 0.246612i | ||||
\(209\) | −5.57953 | − | 4.83469i | −0.385944 | − | 0.334422i | ||||
\(210\) | −1.45545 | − | 8.42080i | −0.100436 | − | 0.581090i | ||||
\(211\) | −0.908813 | − | 6.32093i | −0.0625653 | − | 0.435151i | −0.996895 | − | 0.0787414i | \(-0.974910\pi\) |
0.934330 | − | 0.356410i | \(-0.115999\pi\) | |||||||
\(212\) | 2.65984 | + | 0.992071i | 0.182679 | + | 0.0681357i | ||||
\(213\) | −2.35424 | − | 3.14490i | −0.161310 | − | 0.215485i | ||||
\(214\) | −3.44050 | + | 1.01022i | −0.235188 | + | 0.0690573i | ||||
\(215\) | 5.37749 | + | 7.86789i | 0.366742 | + | 0.536586i | ||||
\(216\) | −0.415415 | + | 0.909632i | −0.0282654 | + | 0.0618926i | ||||
\(217\) | −32.7111 | + | 17.8616i | −2.22057 | + | 1.21252i | ||||
\(218\) | 0.862043 | − | 12.0529i | 0.0583849 | − | 0.816328i | ||||
\(219\) | −5.92006 | + | 5.12976i | −0.400041 | + | 0.346637i | ||||
\(220\) | 3.10363 | − | 0.310615i | 0.209246 | − | 0.0209417i | ||||
\(221\) | −35.3261 | − | 16.1329i | −2.37629 | − | 1.08521i | ||||
\(222\) | 1.37615 | − | 0.299363i | 0.0923611 | − | 0.0200919i | ||||
\(223\) | 12.1577 | − | 22.2653i | 0.814143 | − | 1.49099i | −0.0561306 | − | 0.998423i | \(-0.517876\pi\) |
0.870274 | − | 0.492568i | \(-0.163942\pi\) | |||||||
\(224\) | −0.543889 | + | 3.78283i | −0.0363401 | + | 0.252751i | ||||
\(225\) | 1.81600 | − | 4.65856i | 0.121067 | − | 0.310570i | ||||
\(226\) | 8.09712 | − | 1.16419i | 0.538613 | − | 0.0774408i | ||||
\(227\) | 3.85164 | − | 17.7057i | 0.255642 | − | 1.17517i | −0.652923 | − | 0.757425i | \(-0.726457\pi\) |
0.908565 | − | 0.417744i | \(-0.137179\pi\) | |||||||
\(228\) | 5.27914 | − | 0.377572i | 0.349620 | − | 0.0250053i | ||||
\(229\) | 0.366279 | 0.0242044 | 0.0121022 | − | 0.999927i | \(-0.496148\pi\) | ||||
0.0121022 | + | 0.999927i | \(0.496148\pi\) | |||||||
\(230\) | −7.75537 | − | 7.40637i | −0.511374 | − | 0.488362i | ||||
\(231\) | 5.33100 | 0.350754 | ||||||||
\(232\) | 5.93221 | − | 0.424280i | 0.389469 | − | 0.0278553i | ||||
\(233\) | −4.60301 | + | 21.1597i | −0.301553 | + | 1.38622i | 0.538001 | + | 0.842944i | \(0.319180\pi\) |
−0.839555 | + | 0.543275i | \(0.817184\pi\) | |||||||
\(234\) | 4.97871 | − | 0.715831i | 0.325469 | − | 0.0467953i | ||||
\(235\) | 0.636847 | + | 22.4582i | 0.0415433 | + | 1.46501i | ||||
\(236\) | −0.561106 | + | 3.90258i | −0.0365249 | + | 0.254036i | ||||
\(237\) | −3.63421 | + | 6.65556i | −0.236067 | + | 0.432325i | ||||
\(238\) | 28.8330 | − | 6.27223i | 1.86896 | − | 0.406568i | ||||
\(239\) | 13.2378 | + | 6.04551i | 0.856284 | + | 0.391052i | 0.794665 | − | 0.607048i | \(-0.207646\pi\) |
0.0616189 | + | 0.998100i | \(0.480374\pi\) | |||||||
\(240\) | −1.41582 | + | 1.73074i | −0.0913910 | + | 0.111718i | ||||
\(241\) | −17.1441 | + | 14.8555i | −1.10435 | + | 0.956926i | −0.999295 | − | 0.0375404i | \(-0.988048\pi\) |
−0.105056 | + | 0.994466i | \(0.533502\pi\) | |||||||
\(242\) | 0.645920 | − | 9.03114i | 0.0415213 | − | 0.580543i | ||||
\(243\) | −0.877679 | + | 0.479249i | −0.0563031 | + | 0.0307438i | ||||
\(244\) | −0.793716 | + | 1.73800i | −0.0508124 | + | 0.111264i | ||||
\(245\) | 3.14254 | − | 16.7139i | 0.200769 | − | 1.06781i | ||||
\(246\) | 6.26687 | − | 1.84012i | 0.399561 | − | 0.117322i | ||||
\(247\) | −15.9536 | − | 21.3116i | −1.01511 | − | 1.35602i | ||||
\(248\) | 9.13724 | + | 3.40801i | 0.580215 | + | 0.216409i | ||||
\(249\) | 1.25298 | + | 8.71464i | 0.0794041 | + | 0.552268i | ||||
\(250\) | 6.57735 | − | 9.04093i | 0.415988 | − | 0.571799i | ||||
\(251\) | −15.6793 | − | 13.5862i | −0.989668 | − | 0.857552i | 0.000134070 | − | 1.00000i | \(-0.499957\pi\) |
−0.989802 | + | 0.142448i | \(0.954503\pi\) | |||||||
\(252\) | −2.70237 | + | 2.70237i | −0.170233 | + | 0.170233i | ||||
\(253\) | 5.37676 | − | 3.98041i | 0.338034 | − | 0.250246i | ||||
\(254\) | 4.99422i | 0.313365i | ||||||||
\(255\) | 16.3405 | + | 5.57239i | 1.02328 | + | 0.348956i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | −0.528538 | + | 0.706045i | −0.0329693 | + | 0.0440419i | −0.816723 | − | 0.577030i | \(-0.804212\pi\) |
0.783754 | + | 0.621072i | \(0.213302\pi\) | |||||||
\(258\) | 1.48940 | − | 3.99323i | 0.0927259 | − | 0.248608i | ||||
\(259\) | 5.32749 | + | 0.765977i | 0.331034 | + | 0.0475955i | ||||
\(260\) | 11.1736 | + | 1.28444i | 0.692960 | + | 0.0796576i | ||||
\(261\) | 5.00324 | + | 3.21539i | 0.309693 | + | 0.199027i | ||||
\(262\) | −8.79911 | + | 3.28190i | −0.543611 | + | 0.202756i | ||||
\(263\) | −9.83056 | − | 18.0033i | −0.606178 | − | 1.11013i | −0.982958 | − | 0.183829i | \(-0.941151\pi\) |
0.376780 | − | 0.926303i | \(-0.377031\pi\) | |||||||
\(264\) | −0.913477 | − | 1.05421i | −0.0562206 | − | 0.0648820i | ||||
\(265\) | 1.96031 | + | 6.03755i | 0.120421 | + | 0.370884i | ||||
\(266\) | 19.4077 | + | 5.69860i | 1.18996 | + | 0.349404i | ||||
\(267\) | −0.311233 | − | 0.834449i | −0.0190472 | − | 0.0510675i | ||||
\(268\) | −2.45776 | − | 11.2981i | −0.150132 | − | 0.690144i | ||||
\(269\) | −5.70171 | − | 19.4183i | −0.347640 | − | 1.18395i | −0.928930 | − | 0.370256i | \(-0.879270\pi\) |
0.581290 | − | 0.813696i | \(-0.302548\pi\) | |||||||
\(270\) | −2.17062 | + | 0.537054i | −0.132099 | + | 0.0326840i | ||||
\(271\) | −0.723593 | − | 1.58445i | −0.0439552 | − | 0.0962484i | 0.886381 | − | 0.462957i | \(-0.153212\pi\) |
−0.930336 | + | 0.366709i | \(0.880484\pi\) | |||||||
\(272\) | −6.18092 | − | 4.62698i | −0.374773 | − | 0.280552i | ||||
\(273\) | 18.7837 | + | 4.08614i | 1.13684 | + | 0.247304i | ||||
\(274\) | −1.57825 | + | 1.82140i | −0.0953455 | + | 0.110035i | ||||
\(275\) | 4.85874 | + | 5.00374i | 0.292993 | + | 0.301737i | ||||
\(276\) | −0.707835 | + | 4.74331i | −0.0426066 | + | 0.285514i | ||||
\(277\) | 18.8888 | + | 18.8888i | 1.13492 | + | 1.13492i | 0.989348 | + | 0.145567i | \(0.0465008\pi\) |
0.145567 | + | 0.989348i | \(0.453499\pi\) | |||||||
\(278\) | −0.742202 | − | 10.3773i | −0.0445143 | − | 0.622392i | ||||
\(279\) | 5.27239 | + | 8.20400i | 0.315650 | + | 0.491161i | ||||
\(280\) | −7.38124 | + | 4.30645i | −0.441113 | + | 0.257360i | ||||
\(281\) | 27.0868 | − | 12.3701i | 1.61586 | − | 0.737939i | 0.617061 | − | 0.786915i | \(-0.288323\pi\) |
0.998800 | + | 0.0489760i | \(0.0155958\pi\) | |||||||
\(282\) | 8.04357 | − | 6.02134i | 0.478988 | − | 0.358566i | ||||
\(283\) | 11.5498 | + | 6.30665i | 0.686562 | + | 0.374891i | 0.784352 | − | 0.620316i | \(-0.212996\pi\) |
−0.0977901 | + | 0.995207i | \(0.531177\pi\) | |||||||
\(284\) | −2.12389 | + | 3.30484i | −0.126030 | + | 0.196106i | ||||
\(285\) | 8.00047 | + | 8.72077i | 0.473907 | + | 0.516574i | ||||
\(286\) | −1.97672 | + | 6.73210i | −0.116886 | + | 0.398077i | ||||
\(287\) | 24.8978 | + | 1.78073i | 1.46967 | + | 0.105113i | ||||
\(288\) | 0.997452 | + | 0.0713392i | 0.0587754 | + | 0.00420370i | ||||
\(289\) | −12.0054 | + | 40.8866i | −0.706199 | + | 2.40509i | ||||
\(290\) | 8.99019 | + | 9.79960i | 0.527922 | + | 0.575452i | ||||
\(291\) | 2.64965 | − | 4.12294i | 0.155325 | − | 0.241691i | ||||
\(292\) | 6.87518 | + | 3.75413i | 0.402340 | + | 0.219694i | ||||
\(293\) | 1.66489 | − | 1.24632i | 0.0972637 | − | 0.0728107i | −0.549539 | − | 0.835468i | \(-0.685197\pi\) |
0.646803 | + | 0.762657i | \(0.276106\pi\) | |||||||
\(294\) | −6.91833 | + | 3.15950i | −0.403485 | + | 0.184265i | ||||
\(295\) | −7.61489 | + | 4.44277i | −0.443356 | + | 0.258668i | ||||
\(296\) | −0.761403 | − | 1.18477i | −0.0442556 | − | 0.0688631i | ||||
\(297\) | −0.0995123 | − | 1.39136i | −0.00577429 | − | 0.0807351i | ||||
\(298\) | 10.5636 | + | 10.5636i | 0.611933 | + | 0.611933i | ||||
\(299\) | 21.9958 | − | 9.90368i | 1.27205 | − | 0.572745i | ||||
\(300\) | −4.99946 | − | 0.0735031i | −0.288644 | − | 0.00424370i | ||||
\(301\) | 10.6664 | − | 12.3097i | 0.614801 | − | 0.709518i | ||||
\(302\) | −17.8435 | − | 3.88161i | −1.02678 | − | 0.223361i | ||||
\(303\) | −13.3407 | − | 9.98669i | −0.766401 | − | 0.573720i | ||||
\(304\) | −2.19864 | − | 4.81434i | −0.126100 | − | 0.276121i | ||||
\(305\) | −4.14730 | + | 1.02613i | −0.237474 | + | 0.0587558i | ||||
\(306\) | −2.17524 | − | 7.40817i | −0.124350 | − | 0.423497i | ||||
\(307\) | −1.27353 | − | 5.85432i | −0.0726841 | − | 0.334123i | 0.926418 | − | 0.376497i | \(-0.122872\pi\) |
−0.999102 | + | 0.0423738i | \(0.986508\pi\) | |||||||
\(308\) | −1.86299 | − | 4.99488i | −0.106154 | − | 0.284610i | ||||
\(309\) | −17.5811 | − | 5.16228i | −1.00015 | − | 0.293672i | ||||
\(310\) | 6.73418 | + | 20.7405i | 0.382476 | + | 1.17798i | ||||
\(311\) | 12.3051 | + | 14.2008i | 0.697758 | + | 0.805256i | 0.988448 | − | 0.151562i | \(-0.0484302\pi\) |
−0.290690 | + | 0.956817i | \(0.593885\pi\) | |||||||
\(312\) | −2.41058 | − | 4.41465i | −0.136472 | − | 0.249930i | ||||
\(313\) | 9.08601 | − | 3.38891i | 0.513572 | − | 0.191552i | −0.0792976 | − | 0.996851i | \(-0.525268\pi\) |
0.592869 | + | 0.805299i | \(0.297995\pi\) | |||||||
\(314\) | 3.68843 | + | 2.37041i | 0.208150 | + | 0.133770i | ||||
\(315\) | −8.48974 | − | 0.975919i | −0.478343 | − | 0.0549868i | ||||
\(316\) | 7.50595 | + | 1.07919i | 0.422243 | + | 0.0607093i | ||||
\(317\) | 4.77226 | − | 12.7949i | 0.268037 | − | 0.718634i | −0.731294 | − | 0.682062i | \(-0.761083\pi\) |
0.999331 | − | 0.0365721i | \(-0.0116439\pi\) | |||||||
\(318\) | 1.70125 | − | 2.27260i | 0.0954013 | − | 0.127441i | ||||
\(319\) | −6.97911 | + | 4.48520i | −0.390755 | + | 0.251123i | ||||
\(320\) | 2.11639 | + | 0.721725i | 0.118310 | + | 0.0403457i | ||||
\(321\) | 3.58575i | 0.200137i | ||||||||
\(322\) | −8.86956 | + | 16.0393i | −0.494281 | + | 0.893838i | ||||
\(323\) | −28.8952 | + | 28.8952i | −1.60777 | + | 1.60777i | ||||
\(324\) | 0.755750 | + | 0.654861i | 0.0419861 | + | 0.0363812i | ||||
\(325\) | 13.2844 | + | 21.3547i | 0.736885 | + | 1.18455i | ||||
\(326\) | −2.34374 | − | 16.3011i | −0.129808 | − | 0.902832i | ||||
\(327\) | −11.3218 | − | 4.22283i | −0.626099 | − | 0.233523i | ||||
\(328\) | −3.91415 | − | 5.22869i | −0.216123 | − | 0.288706i | ||||
\(329\) | 36.8440 | − | 10.8184i | 2.03128 | − | 0.596437i | ||||
\(330\) | 0.576359 | − | 3.06542i | 0.0317275 | − | 0.168746i | ||||
\(331\) | −6.46452 | + | 14.1553i | −0.355322 | + | 0.778047i | 0.644586 | + | 0.764531i | \(0.277030\pi\) |
−0.999909 | + | 0.0135156i | \(0.995698\pi\) | |||||||
\(332\) | 7.72731 | − | 4.21943i | 0.424091 | − | 0.231571i | ||||
\(333\) | 0.100469 | − | 1.40475i | 0.00550569 | − | 0.0769796i | ||||
\(334\) | 10.2747 | − | 8.90305i | 0.562205 | − | 0.487153i | ||||
\(335\) | 16.3703 | − | 20.0114i | 0.894405 | − | 1.09334i | ||||
\(336\) | 3.47637 | + | 1.58760i | 0.189652 | + | 0.0866109i | ||||
\(337\) | 9.37096 | − | 2.03853i | 0.510469 | − | 0.111046i | 0.0500486 | − | 0.998747i | \(-0.484062\pi\) |
0.460420 | + | 0.887701i | \(0.347699\pi\) | |||||||
\(338\) | −5.89476 | + | 10.7954i | −0.320633 | + | 0.587195i | ||||
\(339\) | 1.16419 | − | 8.09712i | 0.0632302 | − | 0.439775i | ||||
\(340\) | −0.489372 | − | 17.2576i | −0.0265399 | − | 0.935923i | ||||
\(341\) | −13.4649 | + | 1.93596i | −0.729167 | + | 0.104838i | ||||
\(342\) | 1.12503 | − | 5.17167i | 0.0608346 | − | 0.279652i | ||||
\(343\) | −2.30868 | + | 0.165120i | −0.124657 | + | 0.00891564i | ||||
\(344\) | −4.26195 | −0.229789 | ||||||||
\(345\) | −9.29130 | + | 5.35460i | −0.500227 | + | 0.288282i | ||||
\(346\) | 11.9152 | 0.640565 | ||||||||
\(347\) | 4.10504 | − | 0.293598i | 0.220370 | − | 0.0157612i | 0.0392823 | − | 0.999228i | \(-0.487493\pi\) |
0.181087 | + | 0.983467i | \(0.442038\pi\) | |||||||
\(348\) | 1.26420 | − | 5.81145i | 0.0677684 | − | 0.311526i | ||||
\(349\) | 16.7696 | − | 2.41111i | 0.897658 | − | 0.129064i | 0.321986 | − | 0.946745i | \(-0.395650\pi\) |
0.575672 | + | 0.817681i | \(0.304741\pi\) | |||||||
\(350\) | −17.8038 | − | 6.94027i | −0.951651 | − | 0.370973i | ||||
\(351\) | 0.715831 | − | 4.97871i | 0.0382082 | − | 0.265744i | ||||
\(352\) | −0.668513 | + | 1.22429i | −0.0356318 | + | 0.0652549i | ||||
\(353\) | 9.16815 | − | 1.99441i | 0.487971 | − | 0.106152i | 0.0381533 | − | 0.999272i | \(-0.487852\pi\) |
0.449818 | + | 0.893120i | \(0.351489\pi\) | |||||||
\(354\) | 3.58641 | + | 1.63786i | 0.190616 | + | 0.0870513i | ||||
\(355\) | −8.74066 | + | 0.874777i | −0.463906 | + | 0.0464283i | ||||
\(356\) | −0.673072 | + | 0.583220i | −0.0356727 | + | 0.0309106i | ||||
\(357\) | 2.10503 | − | 29.4321i | 0.111410 | − | 1.55771i | ||||
\(358\) | −2.34632 | + | 1.28119i | −0.124007 | + | 0.0677130i | ||||
\(359\) | 9.75099 | − | 21.3517i | 0.514638 | − | 1.12690i | −0.456792 | − | 0.889573i | \(-0.651002\pi\) |
0.971430 | − | 0.237326i | \(-0.0762710\pi\) | |||||||
\(360\) | 1.26174 | + | 1.84608i | 0.0664998 | + | 0.0972968i | ||||
\(361\) | −8.64684 | + | 2.53894i | −0.455097 | + | 0.133629i | ||||
\(362\) | 9.61437 | + | 12.8433i | 0.505320 | + | 0.675028i | ||||
\(363\) | −8.48334 | − | 3.16412i | −0.445260 | − | 0.166073i | ||||
\(364\) | −2.73571 | − | 19.0273i | −0.143390 | − | 0.997302i | ||||
\(365\) | 2.98322 | + | 17.2600i | 0.156149 | + | 0.903431i | ||||
\(366\) | 1.44398 | + | 1.25121i | 0.0754780 | + | 0.0654020i | ||||
\(367\) | 6.63213 | − | 6.63213i | 0.346194 | − | 0.346194i | −0.512496 | − | 0.858690i | \(-0.671279\pi\) |
0.858690 | + | 0.512496i | \(0.171279\pi\) | |||||||
\(368\) | 4.69160 | − | 0.994411i | 0.244567 | − | 0.0518372i | ||||
\(369\) | − | 6.53144i | − | 0.340013i | ||||||
\(370\) | 1.01643 | − | 2.98059i | 0.0528417 | − | 0.154953i | ||||
\(371\) | 9.12698 | − | 5.86555i | 0.473849 | − | 0.304524i | ||||
\(372\) | 5.84422 | − | 7.80697i | 0.303009 | − | 0.404773i | ||||
\(373\) | 2.57103 | − | 6.89321i | 0.133123 | − | 0.356917i | −0.853236 | − | 0.521525i | \(-0.825363\pi\) |
0.986359 | + | 0.164608i | \(0.0526360\pi\) | |||||||
\(374\) | 10.6604 | + | 1.53274i | 0.551238 | + | 0.0792560i | ||||
\(375\) | −6.82166 | − | 8.85805i | −0.352269 | − | 0.457428i | ||||
\(376\) | −8.45264 | − | 5.43218i | −0.435911 | − | 0.280143i | ||||
\(377\) | −28.0286 | + | 10.4541i | −1.44354 | + | 0.538414i | ||||
\(378\) | 1.83156 | + | 3.35425i | 0.0942053 | + | 0.172524i | ||||
\(379\) | −1.91720 | − | 2.21257i | −0.0984800 | − | 0.113652i | 0.704370 | − | 0.709833i | \(-0.251230\pi\) |
−0.802850 | + | 0.596181i | \(0.796684\pi\) | |||||||
\(380\) | 5.37505 | − | 10.5436i | 0.275734 | − | 0.540877i | ||||
\(381\) | 4.79192 | + | 1.40703i | 0.245497 | + | 0.0720845i | ||||
\(382\) | −0.560204 | − | 1.50196i | −0.0286625 | − | 0.0768472i | ||||
\(383\) | 2.75654 | + | 12.6716i | 0.140852 | + | 0.647488i | 0.992384 | + | 0.123184i | \(0.0393107\pi\) |
−0.851531 | + | 0.524304i | \(0.824326\pi\) | |||||||
\(384\) | −0.281733 | − | 0.959493i | −0.0143771 | − | 0.0489639i | ||||
\(385\) | 6.15785 | − | 10.2068i | 0.313833 | − | 0.520186i | ||||
\(386\) | 6.59485 | + | 14.4407i | 0.335669 | + | 0.735013i | ||||
\(387\) | −3.41187 | − | 2.55409i | −0.173435 | − | 0.129832i | ||||
\(388\) | −4.78894 | − | 1.04177i | −0.243122 | − | 0.0528879i | ||||
\(389\) | −12.1918 | + | 14.0701i | −0.618148 | + | 0.713381i | −0.975354 | − | 0.220645i | \(-0.929184\pi\) |
0.357206 | + | 0.934026i | \(0.383729\pi\) | |||||||
\(390\) | 4.38039 | − | 10.3592i | 0.221810 | − | 0.524556i | ||||
\(391\) | −19.8525 | − | 31.2565i | −1.00398 | − | 1.58071i | ||||
\(392\) | 5.37800 | + | 5.37800i | 0.271630 | + | 0.271630i | ||||
\(393\) | 0.669963 | + | 9.36731i | 0.0337952 | + | 0.472518i | ||||
\(394\) | −2.70661 | − | 4.21157i | −0.136357 | − | 0.212176i | ||||
\(395\) | 8.54492 | + | 14.6460i | 0.429942 | + | 0.736918i | ||||
\(396\) | −1.26886 | + | 0.579470i | −0.0637627 | + | 0.0291194i | ||||
\(397\) | 5.79943 | − | 4.34140i | 0.291065 | − | 0.217889i | −0.443759 | − | 0.896146i | \(-0.646356\pi\) |
0.734824 | + | 0.678257i | \(0.237265\pi\) | |||||||
\(398\) | −11.6213 | − | 6.34573i | −0.582525 | − | 0.318083i | ||||
\(399\) | 10.9355 | − | 17.0160i | 0.547462 | − | 0.851867i | ||||
\(400\) | 1.67826 | + | 4.70993i | 0.0839132 | + | 0.235496i | ||||
\(401\) | −3.07335 | + | 10.4669i | −0.153476 | + | 0.522690i | −0.999953 | − | 0.00973520i | \(-0.996901\pi\) |
0.846477 | + | 0.532425i | \(0.178719\pi\) | |||||||
\(402\) | −11.5329 | − | 0.824851i | −0.575210 | − | 0.0411398i | ||||
\(403\) | −48.9273 | − | 3.49935i | −2.43724 | − | 0.174315i | ||||
\(404\) | −4.69495 | + | 15.9895i | −0.233582 | + | 0.795508i | ||||
\(405\) | −0.0962341 | + | 2.23400i | −0.00478191 | + | 0.111008i | ||||
\(406\) | 12.2883 | − | 19.1210i | 0.609860 | − | 0.948961i | ||||
\(407\) | 1.72421 | + | 0.941489i | 0.0854658 | + | 0.0466679i | ||||
\(408\) | −6.18092 | + | 4.62698i | −0.306001 | + | 0.229070i | ||||
\(409\) | 32.8264 | − | 14.9913i | 1.62316 | − | 0.741272i | 0.623967 | − | 0.781451i | \(-0.285520\pi\) |
0.999193 | + | 0.0401786i | \(0.0127927\pi\) | |||||||
\(410\) | 3.71577 | − | 14.1241i | 0.183509 | − | 0.697542i | ||||
\(411\) | 1.30297 | + | 2.02746i | 0.0642709 | + | 0.100007i | ||||
\(412\) | 1.30717 | + | 18.2766i | 0.0643997 | + | 0.900426i | ||||
\(413\) | 10.6547 | + | 10.6547i | 0.524282 | + | 0.524282i | ||||
\(414\) | 4.35175 | + | 2.01551i | 0.213877 | + | 0.0990567i | ||||
\(415\) | 18.1325 | + | 7.66735i | 0.890088 | + | 0.376375i | ||||
\(416\) | −3.29389 | + | 3.80135i | −0.161496 | + | 0.186377i | ||||
\(417\) | −10.1661 | − | 2.21150i | −0.497836 | − | 0.108297i | ||||
\(418\) | 5.91022 | + | 4.42433i | 0.289078 | + | 0.216401i | ||||
\(419\) | −6.92937 | − | 15.1732i | −0.338522 | − | 0.741259i | 0.661440 | − | 0.749998i | \(-0.269946\pi\) |
−0.999962 | + | 0.00873890i | \(0.997218\pi\) | |||||||
\(420\) | 2.05247 | + | 8.29551i | 0.100151 | + | 0.404780i | ||||
\(421\) | 10.3965 | + | 35.4072i | 0.506694 | + | 1.72564i | 0.673071 | + | 0.739578i | \(0.264975\pi\) |
−0.166377 | + | 0.986062i | \(0.553207\pi\) | |||||||
\(422\) | 1.35743 | + | 6.24000i | 0.0660786 | + | 0.303758i | ||||
\(423\) | −3.51130 | − | 9.41416i | −0.170725 | − | 0.457732i | ||||
\(424\) | −2.72384 | − | 0.799792i | −0.132281 | − | 0.0388413i | ||||
\(425\) | 29.5439 | − | 24.8490i | 1.43309 | − | 1.20535i | ||||
\(426\) | 2.57260 | + | 2.96894i | 0.124643 | + | 0.143846i | ||||
\(427\) | 3.49949 | + | 6.40883i | 0.169352 | + | 0.310145i | ||||
\(428\) | 3.35966 | − | 1.25309i | 0.162395 | − | 0.0605704i | ||||
\(429\) | 5.90249 | + | 3.79330i | 0.284975 | + | 0.183142i | ||||
\(430\) | −5.92508 | − | 7.46422i | −0.285733 | − | 0.359957i | ||||
\(431\) | −19.0513 | − | 2.73916i | −0.917667 | − | 0.131941i | −0.332733 | − | 0.943021i | \(-0.607971\pi\) |
−0.584934 | + | 0.811081i | \(0.698880\pi\) | |||||||
\(432\) | 0.349464 | − | 0.936950i | 0.0168136 | − | 0.0450790i | ||||
\(433\) | −6.34554 | + | 8.47665i | −0.304947 | + | 0.407362i | −0.926670 | − | 0.375875i | \(-0.877342\pi\) |
0.621723 | + | 0.783237i | \(0.286433\pi\) | |||||||
\(434\) | 31.3535 | − | 20.1497i | 1.50502 | − | 0.967215i | ||||
\(435\) | 11.9355 | − | 5.86516i | 0.572262 | − | 0.281213i | ||||
\(436\) | 12.0837i | 0.578706i | ||||||||
\(437\) | −1.67567 | − | 25.3272i | −0.0801581 | − | 1.21156i | ||||
\(438\) | 5.53903 | − | 5.53903i | 0.264665 | − | 0.264665i | ||||
\(439\) | −15.0857 | − | 13.0718i | −0.720002 | − | 0.623885i | 0.215789 | − | 0.976440i | \(-0.430768\pi\) |
−0.935791 | + | 0.352555i | \(0.885313\pi\) | |||||||
\(440\) | −3.07356 | + | 0.531234i | −0.146526 | + | 0.0253256i | ||||
\(441\) | 1.08239 | + | 7.52822i | 0.0515426 | + | 0.358487i | ||||
\(442\) | 36.3870 | + | 13.5716i | 1.73075 | + | 0.645537i | ||||
\(443\) | −2.64784 | − | 3.53709i | −0.125802 | − | 0.168052i | 0.733218 | − | 0.679994i | \(-0.238017\pi\) |
−0.859020 | + | 0.511941i | \(0.828927\pi\) | |||||||
\(444\) | −1.35129 | + | 0.396773i | −0.0641292 | + | 0.0188300i | ||||
\(445\) | −1.95715 | − | 0.367984i | −0.0927779 | − | 0.0174441i | ||||
\(446\) | −10.5384 | + | 23.0759i | −0.499007 | + | 1.09267i | ||||
\(447\) | 13.1118 | − | 7.15959i | 0.620168 | − | 0.338637i | ||||
\(448\) | 0.272639 | − | 3.81199i | 0.0128810 | − | 0.180100i | ||||
\(449\) | −18.6300 | + | 16.1430i | −0.879206 | + | 0.761837i | −0.972279 | − | 0.233823i | \(-0.924877\pi\) |
0.0930729 | + | 0.995659i | \(0.470331\pi\) | |||||||
\(450\) | −1.47904 | + | 4.77624i | −0.0697224 | + | 0.225154i | ||||
\(451\) | 8.28749 | + | 3.78477i | 0.390243 | + | 0.178218i | ||||
\(452\) | −7.99344 | + | 1.73887i | −0.375980 | + | 0.0817894i | ||||
\(453\) | −8.75146 | + | 16.0271i | −0.411179 | + | 0.753019i | ||||
\(454\) | −2.57872 | + | 17.9354i | −0.121025 | + | 0.841748i | ||||
\(455\) | 29.5204 | − | 31.2435i | 1.38394 | − | 1.46472i | ||||
\(456\) | −5.23875 | + | 0.753219i | −0.245327 | + | 0.0352727i | ||||
\(457\) | −1.00485 | + | 4.61921i | −0.0470048 | + | 0.216078i | −0.994658 | − | 0.103223i | \(-0.967084\pi\) |
0.947653 | + | 0.319301i | \(0.103448\pi\) | |||||||
\(458\) | −0.365346 | + | 0.0261300i | −0.0170715 | + | 0.00122098i | ||||
\(459\) | −7.72092 | −0.360382 | ||||||||
\(460\) | 8.26397 | + | 6.83424i | 0.385310 | + | 0.318648i | ||||
\(461\) | −12.8598 | −0.598939 | −0.299469 | − | 0.954106i | \(-0.596810\pi\) | ||||
−0.299469 | + | 0.954106i | \(0.596810\pi\) | |||||||
\(462\) | −5.31742 | + | 0.380309i | −0.247389 | + | 0.0176936i | ||||
\(463\) | 4.81774 | − | 22.1468i | 0.223899 | − | 1.02925i | −0.718700 | − | 0.695321i | \(-0.755262\pi\) |
0.942599 | − | 0.333927i | \(-0.108374\pi\) | |||||||
\(464\) | −5.88683 | + | 0.846398i | −0.273289 | + | 0.0392930i | ||||
\(465\) | 21.7976 | − | 0.618114i | 1.01084 | − | 0.0286644i | ||||
\(466\) | 3.08177 | − | 21.4342i | 0.142760 | − | 0.992919i | ||||
\(467\) | −19.3978 | + | 35.5244i | −0.897622 | + | 1.64387i | −0.141009 | + | 0.990008i | \(0.545035\pi\) |
−0.756613 | + | 0.653863i | \(0.773147\pi\) | |||||||
\(468\) | −4.91496 | + | 1.06918i | −0.227194 | + | 0.0494231i | ||||
\(469\) | −40.1951 | − | 18.3565i | −1.85604 | − | 0.847624i | ||||
\(470\) | −2.23738 | − | 22.3556i | −0.103202 | − | 1.03119i | ||||
\(471\) | 3.31354 | − | 2.87120i | 0.152680 | − | 0.132298i | ||||
\(472\) | 0.281270 | − | 3.93266i | 0.0129465 | − | 0.181015i | ||||
\(473\) | 5.21786 | − | 2.84917i | 0.239918 | − | 0.131005i | ||||
\(474\) | 3.15015 | − | 6.89786i | 0.144691 | − | 0.316829i | ||||
\(475\) | 25.9383 | − | 5.24440i | 1.19013 | − | 0.240630i | ||||
\(476\) | −28.3120 | + | 8.31317i | −1.29768 | + | 0.381033i | ||||
\(477\) | −1.70125 | − | 2.27260i | −0.0778949 | − | 0.104055i | ||||
\(478\) | −13.6354 | − | 5.08574i | −0.623668 | − | 0.232616i | ||||
\(479\) | 0.331832 | + | 2.30795i | 0.0151618 | + | 0.105453i | 0.995997 | − | 0.0893864i | \(-0.0284906\pi\) |
−0.980835 | + | 0.194839i | \(0.937582\pi\) | |||||||
\(480\) | 1.28875 | − | 1.82733i | 0.0588230 | − | 0.0834058i | ||||
\(481\) | 5.35357 | + | 4.63890i | 0.244102 | + | 0.211515i | ||||
\(482\) | 16.0407 | − | 16.0407i | 0.730633 | − | 0.730633i | ||||
\(483\) | 12.8908 | + | 13.0291i | 0.586551 | + | 0.592844i | ||||
\(484\) | 9.05421i | 0.411555i | ||||||||
\(485\) | −4.83320 | − | 9.83547i | −0.219464 | − | 0.446605i | ||||
\(486\) | 0.841254 | − | 0.540641i | 0.0381600 | − | 0.0245240i | ||||
\(487\) | −9.54385 | + | 12.7491i | −0.432473 | + | 0.577717i | −0.962847 | − | 0.270047i | \(-0.912961\pi\) |
0.530374 | + | 0.847764i | \(0.322052\pi\) | |||||||
\(488\) | 0.667706 | − | 1.79019i | 0.0302256 | − | 0.0810381i | ||||
\(489\) | −16.3011 | − | 2.34374i | −0.737159 | − | 0.105988i | ||||
\(490\) | −1.94218 | + | 16.8955i | −0.0877386 | + | 0.763259i | ||||
\(491\) | −31.8873 | − | 20.4927i | −1.43905 | − | 0.924823i | −0.999648 | − | 0.0265345i | \(-0.991553\pi\) |
−0.439405 | − | 0.898289i | \(-0.644811\pi\) | |||||||
\(492\) | −6.11963 | + | 2.28250i | −0.275894 | + | 0.102903i | ||||
\(493\) | 22.0067 | + | 40.3023i | 0.991132 | + | 1.81512i | ||||
\(494\) | 17.4333 | + | 20.1191i | 0.784363 | + | 0.905203i | ||||
\(495\) | −2.77887 | − | 1.41664i | −0.124901 | − | 0.0636733i | ||||
\(496\) | −9.35709 | − | 2.74749i | −0.420146 | − | 0.123366i | ||||
\(497\) | 5.24670 | + | 14.0670i | 0.235347 | + | 0.630989i | ||||
\(498\) | −1.87148 | − | 8.60305i | −0.0838630 | − | 0.385512i | ||||
\(499\) | 1.34884 | + | 4.59374i | 0.0603826 | + | 0.205644i | 0.984159 | − | 0.177288i | \(-0.0567324\pi\) |
−0.923776 | + | 0.382932i | \(0.874914\pi\) | |||||||
\(500\) | −5.91562 | + | 9.48712i | −0.264555 | + | 0.424277i | ||||
\(501\) | −5.64771 | − | 12.3668i | −0.252321 | − | 0.552506i | ||||
\(502\) | 16.6086 | + | 12.4330i | 0.741277 | + | 0.554913i | ||||
\(503\) | 9.99707 | + | 2.17473i | 0.445748 | + | 0.0969664i | 0.429836 | − | 0.902907i | \(-0.358571\pi\) |
0.0159115 | + | 0.999873i | \(0.494935\pi\) | |||||||
\(504\) | 2.50270 | − | 2.88827i | 0.111479 | − | 0.128654i | ||||
\(505\) | −34.5305 | + | 14.0065i | −1.53659 | + | 0.623282i | ||||
\(506\) | −5.07911 | + | 4.35384i | −0.225794 | + | 0.193552i | ||||
\(507\) | 8.69741 | + | 8.69741i | 0.386265 | + | 0.386265i | ||||
\(508\) | −0.356283 | − | 4.98149i | −0.0158075 | − | 0.221018i | ||||
\(509\) | −15.0692 | − | 23.4482i | −0.667932 | − | 1.03932i | −0.995525 | − | 0.0945033i | \(-0.969874\pi\) |
0.327593 | − | 0.944819i | \(-0.393763\pi\) | |||||||
\(510\) | −16.6964 | − | 4.39247i | −0.739329 | − | 0.194502i | ||||
\(511\) | 27.2317 | − | 12.4363i | 1.20466 | − | 0.550149i | ||||
\(512\) | −0.800541 | + | 0.599278i | −0.0353793 | + | 0.0264846i | ||||
\(513\) | −4.64523 | − | 2.53649i | −0.205092 | − | 0.111989i | ||||
\(514\) | 0.476823 | − | 0.741951i | 0.0210318 | − | 0.0327261i | ||||
\(515\) | −30.1917 | + | 27.6980i | −1.33041 | + | 1.22052i | ||||
\(516\) | −1.20073 | + | 4.08931i | −0.0528592 | + | 0.180022i | ||||
\(517\) | 13.9800 | + | 0.999866i | 0.614838 | + | 0.0439741i | ||||
\(518\) | −5.36856 | − | 0.383967i | −0.235881 | − | 0.0168705i | ||||
\(519\) | 3.35690 | − | 11.4326i | 0.147352 | − | 0.501833i | ||||
\(520\) | −11.2368 | − | 0.484049i | −0.492766 | − | 0.0212269i | ||||
\(521\) | 5.91309 | − | 9.20095i | 0.259057 | − | 0.403101i | −0.687224 | − | 0.726446i | \(-0.741171\pi\) |
0.946281 | + | 0.323345i | \(0.104807\pi\) | |||||||
\(522\) | −5.21987 | − | 2.85027i | −0.228468 | − | 0.124753i | ||||
\(523\) | −5.42156 | + | 4.05853i | −0.237068 | + | 0.177467i | −0.711206 | − | 0.702983i | \(-0.751851\pi\) |
0.474138 | + | 0.880451i | \(0.342760\pi\) | |||||||
\(524\) | 8.54257 | − | 3.90126i | 0.373184 | − | 0.170427i | ||||
\(525\) | −11.6750 | + | 15.1273i | −0.509540 | + | 0.660208i | ||||
\(526\) | 11.0899 | + | 17.2561i | 0.483540 | + | 0.752404i | ||||
\(527\) | 5.37151 | + | 75.1035i | 0.233987 | + | 3.27156i | ||||
\(528\) | 0.986355 | + | 0.986355i | 0.0429256 | + | 0.0429256i | ||||
\(529\) | 22.7297 | + | 3.51597i | 0.988247 | + | 0.152868i | ||||
\(530\) | −2.38603 | − | 5.88232i | −0.103643 | − | 0.255512i | ||||
\(531\) | 2.58192 | − | 2.97970i | 0.112046 | − | 0.129308i | ||||
\(532\) | −19.7647 | − | 4.29956i | −0.856910 | − | 0.186409i | ||||
\(533\) | 26.2998 | + | 19.6878i | 1.13917 | + | 0.852773i | ||||
\(534\) | 0.369969 | + | 0.810120i | 0.0160101 | + | 0.0350573i | ||||
\(535\) | 6.86531 | + | 4.14191i | 0.296813 | + | 0.179070i | ||||
\(536\) | 3.25750 | + | 11.0940i | 0.140703 | + | 0.479189i | ||||
\(537\) | 0.568257 | + | 2.61223i | 0.0245221 | + | 0.112726i | ||||
\(538\) | 7.07247 | + | 18.9620i | 0.304916 | + | 0.817511i | ||||
\(539\) | −10.1795 | − | 2.98897i | −0.438461 | − | 0.128744i | ||||
\(540\) | 2.12677 | − | 0.690535i | 0.0915217 | − | 0.0297159i | ||||
\(541\) | 18.6433 | + | 21.5155i | 0.801538 | + | 0.925024i | 0.998465 | − | 0.0553944i | \(-0.0176416\pi\) |
−0.196927 | + | 0.980418i | \(0.563096\pi\) | |||||||
\(542\) | 0.834783 | + | 1.52879i | 0.0358570 | + | 0.0656672i | ||||
\(543\) | 15.0317 | − | 5.60655i | 0.645073 | − | 0.240600i | ||||
\(544\) | 6.49525 | + | 4.17425i | 0.278482 | + | 0.178969i | ||||
\(545\) | −21.1630 | + | 16.7991i | −0.906522 | + | 0.719596i | ||||
\(546\) | −19.0273 | − | 2.73571i | −0.814293 | − | 0.117078i | ||||
\(547\) | −8.33951 | + | 22.3591i | −0.356572 | + | 0.956006i | 0.627560 | + | 0.778568i | \(0.284054\pi\) |
−0.984132 | + | 0.177438i | \(0.943219\pi\) | |||||||
\(548\) | 1.44429 | − | 1.92935i | 0.0616970 | − | 0.0824176i | ||||
\(549\) | 1.60735 | − | 1.03298i | 0.0685999 | − | 0.0440865i | ||||
\(550\) | −5.20333 | − | 4.64438i | −0.221871 | − | 0.198037i | ||||
\(551\) | 31.4772i | 1.34097i | ||||||||
\(552\) | 0.367647 | − | 4.78172i | 0.0156481 | − | 0.203523i | ||||
\(553\) | 20.4925 | − | 20.4925i | 0.871428 | − | 0.871428i | ||||
\(554\) | −20.1881 | − | 17.4931i | −0.857712 | − | 0.743212i | ||||
\(555\) | −2.57349 | − | 1.81499i | −0.109239 | − | 0.0770418i | ||||
\(556\) | 1.48062 | + | 10.2980i | 0.0627924 | + | 0.436731i | ||||
\(557\) | 15.8337 | + | 5.90566i | 0.670894 | + | 0.250231i | 0.661747 | − | 0.749727i | \(-0.269815\pi\) |
0.00914772 | + | 0.999958i | \(0.497088\pi\) | |||||||
\(558\) | −5.84422 | − | 7.80697i | −0.247406 | − | 0.330495i | ||||
\(559\) | 20.5689 | − | 6.03956i | 0.869970 | − | 0.255446i | ||||
\(560\) | 7.05521 | − | 4.82205i | 0.298137 | − | 0.203769i | ||||
\(561\) | 4.47404 | − | 9.79678i | 0.188894 | − | 0.413620i | ||||
\(562\) | −26.1353 | + | 14.2709i | −1.10245 | + | 0.601983i | ||||
\(563\) | 1.49737 | − | 20.9360i | 0.0631068 | − | 0.882348i | −0.863028 | − | 0.505156i | \(-0.831435\pi\) |
0.926135 | − | 0.377192i | \(-0.123110\pi\) | |||||||
\(564\) | −7.59352 | + | 6.57982i | −0.319745 | + | 0.277061i | ||||
\(565\) | −14.1581 | − | 11.5820i | −0.595635 | − | 0.487258i | ||||
\(566\) | −11.9702 | − | 5.46663i | −0.503147 | − | 0.229779i | ||||
\(567\) | 3.73439 | − | 0.812368i | 0.156830 | − | 0.0341162i | ||||
\(568\) | 1.88272 | − | 3.44794i | 0.0789970 | − | 0.144672i | ||||
\(569\) | 1.18212 | − | 8.22183i | 0.0495571 | − | 0.344677i | −0.949924 | − | 0.312480i | \(-0.898840\pi\) |
0.999482 | − | 0.0321973i | \(-0.0102505\pi\) | |||||||
\(570\) | −8.60222 | − | 8.12781i | −0.360307 | − | 0.340436i | ||||
\(571\) | −1.91743 | + | 0.275685i | −0.0802420 | + | 0.0115371i | −0.182319 | − | 0.983239i | \(-0.558360\pi\) |
0.102077 | + | 0.994777i | \(0.467451\pi\) | |||||||
\(572\) | 1.49142 | − | 6.85596i | 0.0623596 | − | 0.286662i | ||||
\(573\) | −1.59895 | + | 0.114359i | −0.0667972 | + | 0.00477743i | ||||
\(574\) | −24.9614 | −1.04187 | ||||||||
\(575\) | −0.480423 | + | 23.9743i | −0.0200350 | + | 0.999799i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −6.39062 | + | 0.457066i | −0.266045 | + | 0.0190279i | −0.203724 | − | 0.979028i | \(-0.565305\pi\) |
−0.0623206 | + | 0.998056i | \(0.519850\pi\) | |||||||
\(578\) | 9.05797 | − | 41.6388i | 0.376762 | − | 1.73195i | ||||
\(579\) | 15.7137 | − | 2.25930i | 0.653041 | − | 0.0938931i | ||||
\(580\) | −9.66638 | − | 9.13328i | −0.401374 | − | 0.379239i | ||||
\(581\) | 4.78854 | − | 33.3050i | 0.198662 | − | 1.38173i | ||||
\(582\) | −2.34877 | + | 4.30145i | −0.0973597 | + | 0.178301i | ||||
\(583\) | 3.86944 | − | 0.841745i | 0.160256 | − | 0.0348615i | ||||
\(584\) | −7.12548 | − | 3.25410i | −0.294855 | − | 0.134656i | ||||
\(585\) | −8.70544 | − | 7.12146i | −0.359926 | − | 0.294436i | ||||
\(586\) | −1.57173 | + | 1.36191i | −0.0649277 | + | 0.0562602i | ||||
\(587\) | 2.26704 | − | 31.6974i | 0.0935709 | − | 1.30829i | −0.706211 | − | 0.708002i | \(-0.749597\pi\) |
0.799782 | − | 0.600291i | \(-0.204949\pi\) | |||||||
\(588\) | 6.67531 | − | 3.64499i | 0.275285 | − | 0.150317i | ||||
\(589\) | −21.4414 | + | 46.9500i | −0.883476 | + | 1.93454i | ||||
\(590\) | 7.27854 | − | 4.97469i | 0.299653 | − | 0.204805i | ||||
\(591\) | −4.80351 | + | 1.41044i | −0.197590 | + | 0.0580177i | ||||
\(592\) | 0.843983 | + | 1.12743i | 0.0346875 | + | 0.0463371i | ||||
\(593\) | −44.5759 | − | 16.6259i | −1.83051 | − | 0.682745i | −0.990021 | − | 0.140918i | \(-0.954995\pi\) |
−0.840490 | − | 0.541827i | \(-0.817733\pi\) | |||||||
\(594\) | 0.198517 | + | 1.38072i | 0.00814527 | + | 0.0566516i | ||||
\(595\) | −53.9196 | − | 38.0274i | −2.21049 | − | 1.55897i | ||||
\(596\) | −11.2903 | − | 9.78309i | −0.462468 | − | 0.400731i | ||||
\(597\) | −9.36280 | + | 9.36280i | −0.383194 | + | 0.383194i | ||||
\(598\) | −21.2333 | + | 11.4476i | −0.868293 | + | 0.468128i | ||||
\(599\) | 2.85376i | 0.116601i | 0.998299 | + | 0.0583007i | \(0.0185682\pi\) | ||||
−0.998299 | + | 0.0583007i | \(0.981432\pi\) | |||||||
\(600\) | 4.99197 | − | 0.283342i | 0.203796 | − | 0.0115674i | ||||
\(601\) | −31.1743 | + | 20.0345i | −1.27163 | + | 0.817225i | −0.989831 | − | 0.142250i | \(-0.954566\pi\) |
−0.281796 | + | 0.959474i | \(0.590930\pi\) | |||||||
\(602\) | −9.76105 | + | 13.0392i | −0.397831 | + | 0.531440i | ||||
\(603\) | −4.04064 | + | 10.8334i | −0.164548 | + | 0.441169i | ||||
\(604\) | 18.0749 | + | 2.59878i | 0.735457 | + | 0.105743i | ||||
\(605\) | −15.8572 | + | 12.5874i | −0.644686 | + | 0.511751i | ||||
\(606\) | 14.0191 | + | 9.00953i | 0.569487 | + | 0.365987i | ||||
\(607\) | −21.1461 | + | 7.88709i | −0.858294 | + | 0.320127i | −0.739799 | − | 0.672828i | \(-0.765080\pi\) |
−0.118494 | + | 0.992955i | \(0.537807\pi\) | |||||||
\(608\) | 2.53649 | + | 4.64523i | 0.102868 | + | 0.188389i | ||||
\(609\) | −14.8845 | − | 17.1776i | −0.603149 | − | 0.696072i | ||||
\(610\) | 4.06353 | − | 1.31938i | 0.164528 | − | 0.0534200i | ||||
\(611\) | 48.4917 | + | 14.2384i | 1.96176 | + | 0.576026i | ||||
\(612\) | 2.69819 | + | 7.23412i | 0.109068 | + | 0.292422i | ||||
\(613\) | 5.85724 | + | 26.9253i | 0.236572 | + | 1.08750i | 0.930167 | + | 0.367137i | \(0.119662\pi\) |
−0.693595 | + | 0.720365i | \(0.743974\pi\) | |||||||
\(614\) | 1.68793 | + | 5.74855i | 0.0681191 | + | 0.231992i | ||||
\(615\) | −12.5052 | − | 7.54448i | −0.504257 | − | 0.304223i | ||||
\(616\) | 2.21458 | + | 4.84925i | 0.0892279 | + | 0.195382i | ||||
\(617\) | 18.1044 | + | 13.5528i | 0.728858 | + | 0.545616i | 0.898011 | − | 0.439974i | \(-0.145012\pi\) |
−0.169153 | + | 0.985590i | \(0.554103\pi\) | |||||||
\(618\) | 17.9046 | + | 3.89490i | 0.720228 | + | 0.156676i | ||||
\(619\) | 3.75792 | − | 4.33687i | 0.151044 | − | 0.174314i | −0.675185 | − | 0.737648i | \(-0.735936\pi\) |
0.826229 | + | 0.563335i | \(0.190482\pi\) | |||||||
\(620\) | −8.19663 | − | 20.2073i | −0.329185 | − | 0.811544i | ||||
\(621\) | 3.15989 | − | 3.60764i | 0.126802 | − | 0.144770i | ||||
\(622\) | −13.2868 | − | 13.2868i | −0.532753 | − | 0.532753i | ||||
\(623\) | 0.242813 | + | 3.39497i | 0.00972810 | + | 0.136017i | ||||
\(624\) | 2.71937 | + | 4.23143i | 0.108862 | + | 0.169393i | ||||
\(625\) | −24.8394 | + | 2.82886i | −0.993577 | + | 0.113155i | ||||
\(626\) | −8.82110 | + | 4.02846i | −0.352562 | + | 0.161010i | ||||
\(627\) | 5.91022 | − | 4.42433i | 0.236031 | − | 0.176691i | ||||
\(628\) | −3.84814 | − | 2.10124i | −0.153557 | − | 0.0838487i | ||||
\(629\) | 5.87873 | − | 9.14749i | 0.234400 | − | 0.364734i | ||||
\(630\) | 8.53773 | + | 0.367781i | 0.340151 | + | 0.0146527i | ||||
\(631\) | 6.51467 | − | 22.1869i | 0.259345 | − | 0.883248i | −0.722146 | − | 0.691740i | \(-0.756844\pi\) |
0.981491 | − | 0.191507i | \(-0.0613375\pi\) | |||||||
\(632\) | −7.56381 | − | 0.540975i | −0.300872 | − | 0.0215188i | ||||
\(633\) | 6.36966 | + | 0.455567i | 0.253171 | + | 0.0181072i | ||||
\(634\) | −3.84732 | + | 13.1028i | −0.152797 | + | 0.520377i | ||||
\(635\) | 8.22908 | − | 7.54939i | 0.326561 | − | 0.299588i | ||||
\(636\) | −1.53479 | + | 2.38818i | −0.0608583 | + | 0.0946974i | ||||
\(637\) | −33.5762 | − | 18.3340i | −1.33034 | − | 0.726419i | ||||
\(638\) | 6.64135 | − | 4.97165i | 0.262934 | − | 0.196830i | ||||
\(639\) | 3.57346 | − | 1.63195i | 0.141364 | − | 0.0645588i | ||||
\(640\) | −2.16249 | − | 0.568905i | −0.0854798 | − | 0.0224879i | ||||
\(641\) | 6.27206 | + | 9.75951i | 0.247731 | + | 0.385477i | 0.942742 | − | 0.333521i | \(-0.108237\pi\) |
−0.695011 | + | 0.718999i | \(0.744601\pi\) | |||||||
\(642\) | −0.255804 | − | 3.57661i | −0.0100958 | − | 0.141158i | ||||
\(643\) | −4.24802 | − | 4.24802i | −0.167526 | − | 0.167526i | 0.618365 | − | 0.785891i | \(-0.287795\pi\) |
−0.785891 | + | 0.618365i | \(0.787795\pi\) | |||||||
\(644\) | 7.70273 | − | 16.6312i | 0.303530 | − | 0.655362i | ||||
\(645\) | −8.83115 | + | 3.58216i | −0.347726 | + | 0.141047i | ||||
\(646\) | 26.7602 | − | 30.8829i | 1.05287 | − | 1.21507i | ||||
\(647\) | −16.4665 | − | 3.58206i | −0.647364 | − | 0.140825i | −0.123118 | − | 0.992392i | \(-0.539289\pi\) |
−0.524246 | + | 0.851567i | \(0.675653\pi\) | |||||||
\(648\) | −0.800541 | − | 0.599278i | −0.0314482 | − | 0.0235419i | ||||
\(649\) | 2.28468 | + | 5.00275i | 0.0896815 | + | 0.196375i | ||||
\(650\) | −14.7740 | − | 20.3526i | −0.579482 | − | 0.798296i | ||||
\(651\) | −10.5002 | − | 35.7603i | −0.411534 | − | 1.40156i | ||||
\(652\) | 3.50067 | + | 16.0923i | 0.137097 | + | 0.630224i | ||||
\(653\) | −2.77851 | − | 7.44947i | −0.108731 | − | 0.291520i | 0.871177 | − | 0.490970i | \(-0.163357\pi\) |
−0.979908 | + | 0.199449i | \(0.936085\pi\) | |||||||
\(654\) | 11.5943 | + | 3.40438i | 0.453371 | + | 0.133122i | ||||
\(655\) | 18.7086 | + | 9.53749i | 0.731007 | + | 0.372660i | ||||
\(656\) | 4.27718 | + | 4.93613i | 0.166996 | + | 0.192724i | ||||
\(657\) | −3.75413 | − | 6.87518i | −0.146463 | − | 0.268226i | ||||
\(658\) | −35.9784 | + | 13.4192i | −1.40258 | + | 0.523137i | ||||
\(659\) | 1.93175 | + | 1.24146i | 0.0752505 | + | 0.0483605i | 0.577725 | − | 0.816231i | \(-0.303941\pi\) |
−0.502475 | + | 0.864592i | \(0.667577\pi\) | |||||||
\(660\) | −0.356207 | + | 3.09872i | −0.0138653 | + | 0.120618i | ||||
\(661\) | −5.92726 | − | 0.852211i | −0.230544 | − | 0.0331472i | 0.0260746 | − | 0.999660i | \(-0.491699\pi\) |
−0.256618 | + | 0.966513i | \(0.582608\pi\) | |||||||
\(662\) | 5.43822 | − | 14.5804i | 0.211362 | − | 0.566685i | ||||
\(663\) | 23.2733 | − | 31.0895i | 0.903859 | − | 1.20741i | ||||
\(664\) | −7.40661 | + | 4.75994i | −0.287432 | + | 0.184721i | ||||
\(665\) | −19.9474 | − | 40.5926i | −0.773528 | − | 1.57411i | ||||
\(666\) | 1.40833i | 0.0545718i | ||||||||
\(667\) | −27.8380 | − | 6.21151i | −1.07789 | − | 0.240511i | ||||
\(668\) | −9.61336 | + | 9.61336i | −0.371952 | + | 0.371952i | ||||
\(669\) | 19.1721 | + | 16.6127i | 0.741237 | + | 0.642285i | ||||
\(670\) | −14.9010 | + | 21.1283i | −0.575675 | + | 0.816257i | ||||
\(671\) | 0.379299 | + | 2.63808i | 0.0146427 | + | 0.101842i | ||||
\(672\) | −3.58077 | − | 1.33556i | −0.138131 | − | 0.0515203i | ||||
\(673\) | −26.7091 | − | 35.6792i | −1.02956 | − | 1.37533i | −0.924636 | − | 0.380853i | \(-0.875630\pi\) |
−0.104926 | − | 0.994480i | \(-0.533460\pi\) | |||||||
\(674\) | −9.20166 | + | 2.70185i | −0.354435 | + | 0.104071i | ||||
\(675\) | 4.16607 | + | 2.76475i | 0.160352 | + | 0.106415i | ||||
\(676\) | 5.10960 | − | 11.1885i | 0.196523 | − | 0.430326i | ||||
\(677\) | 23.7938 | − | 12.9924i | 0.914468 | − | 0.499337i | 0.0481557 | − | 0.998840i | \(-0.484666\pi\) |
0.866313 | + | 0.499502i | \(0.166484\pi\) | |||||||
\(678\) | −0.583582 | + | 8.15955i | −0.0224123 | + | 0.313365i | ||||
\(679\) | −14.1553 | + | 12.2656i | −0.543229 | + | 0.470711i | ||||
\(680\) | 1.71927 | + | 17.1787i | 0.0659309 | + | 0.658773i | ||||
\(681\) | 16.4823 | + | 7.52723i | 0.631605 | + | 0.288444i | ||||
\(682\) | 13.2925 | − | 2.89161i | 0.508997 | − | 0.110725i | ||||
\(683\) | −8.68739 | + | 15.9098i | −0.332414 | + | 0.608770i | −0.989414 | − | 0.145120i | \(-0.953643\pi\) |
0.657000 | + | 0.753890i | \(0.271825\pi\) | |||||||
\(684\) | −0.753219 | + | 5.23875i | −0.0288001 | + | 0.200309i | ||||
\(685\) | 5.38687 | − | 0.152755i | 0.205822 | − | 0.00583648i | ||||
\(686\) | 2.29102 | − | 0.329398i | 0.0874714 | − | 0.0125765i | ||||
\(687\) | −0.0778582 | + | 0.357908i | −0.00297047 | + | 0.0136550i | ||||
\(688\) | 4.25109 | − | 0.304044i | 0.162071 | − | 0.0115916i | ||||
\(689\) | 14.2791 | 0.543989 | ||||||||
\(690\) | 8.88563 | − | 6.00379i | 0.338270 | − | 0.228561i | ||||
\(691\) | 34.8359 | 1.32522 | 0.662609 | − | 0.748965i | \(-0.269449\pi\) | ||||
0.662609 | + | 0.748965i | \(0.269449\pi\) | |||||||
\(692\) | −11.8848 | + | 0.850021i | −0.451794 | + | 0.0323129i | ||||
\(693\) | −1.13319 | + | 5.20917i | −0.0430462 | + | 0.197880i | ||||
\(694\) | −4.07363 | + | 0.585700i | −0.154633 | + | 0.0222329i | ||||
\(695\) | −15.9770 | + | 16.9096i | −0.606044 | + | 0.641418i | ||||
\(696\) | −0.846398 | + | 5.88683i | −0.0320826 | + | 0.223140i | ||||
\(697\) | 24.1679 | − | 44.2602i | 0.915425 | − | 1.67648i | ||||
\(698\) | −16.5549 | + | 3.60130i | −0.626612 | + | 0.136311i | ||||
\(699\) | −19.6977 | − | 8.99564i | −0.745036 | − | 0.340246i | ||||
\(700\) | 18.2535 | + | 5.65248i | 0.689918 | + | 0.213644i | ||||
\(701\) | −14.5710 | + | 12.6258i | −0.550337 | + | 0.476870i | −0.885080 | − | 0.465440i | \(-0.845896\pi\) |
0.334742 | + | 0.942310i | \(0.391351\pi\) | |||||||
\(702\) | −0.358830 | + | 5.01709i | −0.0135432 | + | 0.189358i | ||||
\(703\) | 6.54203 | − | 3.57222i | 0.246737 | − | 0.134729i | ||||
\(704\) | 0.579470 | − | 1.26886i | 0.0218396 | − | 0.0478220i | ||||
\(705\) | −22.0804 | − | 4.15155i | −0.831595 | − | 0.156356i | ||||
\(706\) | −9.00251 | + | 2.64338i | −0.338814 | + | 0.0994847i | ||||
\(707\) | 38.1665 | + | 50.9844i | 1.43540 | + | 1.91747i | ||||
\(708\) | −3.69412 | − | 1.37784i | −0.138833 | − | 0.0517822i | ||||
\(709\) | 3.17038 | + | 22.0505i | 0.119066 | + | 0.828123i | 0.958588 | + | 0.284797i | \(0.0919262\pi\) |
−0.839522 | + | 0.543326i | \(0.817165\pi\) | |||||||
\(710\) | 8.65599 | − | 1.49610i | 0.324853 | − | 0.0561476i | ||||
\(711\) | −5.73095 | − | 4.96590i | −0.214927 | − | 0.186236i | ||||
\(712\) | 0.629751 | − | 0.629751i | 0.0236009 | − | 0.0236009i | ||||
\(713\) | −37.2908 | − | 28.2273i | −1.39655 | − | 1.05712i | ||||
\(714\) | 29.5073i | 1.10428i | ||||||||
\(715\) | 14.0807 | − | 6.91933i | 0.526588 | − | 0.258768i | ||||
\(716\) | 2.24895 | − | 1.44531i | 0.0840471 | − | 0.0540138i | ||||
\(717\) | −8.72126 | + | 11.6502i | −0.325701 | + | 0.435086i | ||||
\(718\) | −8.20294 | + | 21.9929i | −0.306131 | + | 0.820769i | ||||
\(719\) | −19.5296 | − | 2.80793i | −0.728331 | − | 0.104718i | −0.231832 | − | 0.972756i | \(-0.574472\pi\) |
−0.496499 | + | 0.868038i | \(0.665381\pi\) | |||||||
\(720\) | −1.39023 | − | 1.75136i | −0.0518107 | − | 0.0652694i | ||||
\(721\) | 58.9103 | + | 37.8594i | 2.19394 | + | 1.40996i | ||||
\(722\) | 8.44369 | − | 3.14933i | 0.314241 | − | 0.117206i | ||||
\(723\) | −10.8717 | − | 19.9101i | −0.404324 | − | 0.740465i | ||||
\(724\) | −10.5061 | − | 12.1247i | −0.390456 | − | 0.450610i | ||||
\(725\) | 2.55721 | − | 29.6267i | 0.0949723 | − | 1.10031i | ||||
\(726\) | 8.68745 | + | 2.55086i | 0.322421 | + | 0.0946715i | ||||
\(727\) | 8.34024 | + | 22.3610i | 0.309322 | + | 0.829325i | 0.994857 | + | 0.101286i | \(0.0322956\pi\) |
−0.685535 | + | 0.728040i | \(0.740432\pi\) | |||||||
\(728\) | 4.08614 | + | 18.7837i | 0.151442 | + | 0.696169i | ||||
\(729\) | −0.281733 | − | 0.959493i | −0.0104345 | − | 0.0355368i | ||||
\(730\) | −4.20694 | − | 17.0032i | −0.155706 | − | 0.629318i | ||||
\(731\) | −13.6697 | − | 29.9325i | −0.505593 | − | 1.10709i | ||||
\(732\) | −1.52956 | − | 1.14501i | −0.0565342 | − | 0.0423209i | ||||
\(733\) | 24.0969 | + | 5.24195i | 0.890038 | + | 0.193616i | 0.634260 | − | 0.773120i | \(-0.281305\pi\) |
0.255778 | + | 0.966736i | \(0.417668\pi\) | |||||||
\(734\) | −6.14210 | + | 7.08836i | −0.226709 | + | 0.261636i | ||||
\(735\) | 15.6639 | + | 6.62351i | 0.577771 | + | 0.244312i | ||||
\(736\) | −4.60871 | + | 1.32657i | −0.169879 | + | 0.0488981i | ||||
\(737\) | −11.4046 | − | 11.4046i | −0.420095 | − | 0.420095i | ||||
\(738\) | 0.465948 | + | 6.51480i | 0.0171518 | + | 0.239813i | ||||
\(739\) | −12.3075 | − | 19.1509i | −0.452740 | − | 0.704477i | 0.537590 | − | 0.843206i | \(-0.319335\pi\) |
−0.990330 | + | 0.138729i | \(0.955698\pi\) | |||||||
\(740\) | −0.801208 | + | 3.04550i | −0.0294530 | + | 0.111955i | ||||
\(741\) | 24.2157 | − | 11.0589i | 0.889586 | − | 0.406260i | ||||
\(742\) | −8.68528 | + | 6.50172i | −0.318847 | + | 0.238686i | ||||
\(743\) | −28.1704 | − | 15.3822i | −1.03347 | − | 0.564319i | −0.129353 | − | 0.991599i | \(-0.541290\pi\) |
−0.904119 | + | 0.427280i | \(0.859472\pi\) | |||||||
\(744\) | −5.27239 | + | 8.20400i | −0.193295 | + | 0.300773i | ||||
\(745\) | 1.43766 | − | 33.3741i | 0.0526718 | − | 1.22273i | ||||
\(746\) | −2.07273 | + | 7.05906i | −0.0758880 | + | 0.258451i | ||||
\(747\) | −8.78182 | − | 0.628088i | −0.321310 | − | 0.0229806i | ||||
\(748\) | −10.7426 | − | 0.768327i | −0.392789 | − | 0.0280928i | ||||
\(749\) | 3.86080 | − | 13.1487i | 0.141070 | − | 0.480442i | ||||
\(750\) | 7.43620 | + | 8.34883i | 0.271532 | + | 0.304856i | ||||
\(751\) | 11.5537 | − | 17.9778i | 0.421599 | − | 0.656020i | −0.563873 | − | 0.825862i | \(-0.690689\pi\) |
0.985471 | + | 0.169841i | \(0.0543255\pi\) | |||||||
\(752\) | 8.81863 | + | 4.81533i | 0.321582 | + | 0.175597i | ||||
\(753\) | 16.6086 | − | 12.4330i | 0.605250 | − | 0.453085i | ||||
\(754\) | 27.2114 | − | 12.4270i | 0.990979 | − | 0.452565i | ||||
\(755\) | 20.5768 | + | 35.2686i | 0.748867 | + | 1.28356i | ||||
\(756\) | −2.06618 | − | 3.21505i | −0.0751464 | − | 0.116930i | ||||
\(757\) | 1.84542 | + | 25.8024i | 0.0670730 | + | 0.937803i | 0.913901 | + | 0.405937i | \(0.133055\pi\) |
−0.846828 | + | 0.531866i | \(0.821491\pi\) | |||||||
\(758\) | 2.07016 | + | 2.07016i | 0.0751916 | + | 0.0751916i | ||||
\(759\) | 2.74653 | + | 6.09999i | 0.0996928 | + | 0.221415i | ||||
\(760\) | −4.60918 | + | 10.9002i | −0.167193 | + | 0.395393i | ||||
\(761\) | −25.2040 | + | 29.0870i | −0.913645 | + | 1.05440i | 0.0846721 | + | 0.996409i | \(0.473016\pi\) |
−0.998317 | + | 0.0579935i | \(0.981530\pi\) | |||||||
\(762\) | −4.88008 | − | 1.06160i | −0.176787 | − | 0.0384576i | ||||
\(763\) | 36.9696 | + | 27.6751i | 1.33839 | + | 1.00191i | ||||
\(764\) | 0.665925 | + | 1.45817i | 0.0240923 | + | 0.0527549i | ||||
\(765\) | −8.91846 | + | 14.7826i | −0.322448 | + | 0.534465i | ||||
\(766\) | −3.65349 | − | 12.4427i | −0.132006 | − | 0.449571i | ||||
\(767\) | 4.21548 | + | 19.3783i | 0.152212 | + | 0.699708i | ||||
\(768\) | 0.349464 | + | 0.936950i | 0.0126102 | + | 0.0338093i | ||||
\(769\) | −3.15622 | − | 0.926749i | −0.113816 | − | 0.0334194i | 0.224329 | − | 0.974514i | \(-0.427981\pi\) |
−0.338145 | + | 0.941094i | \(0.609799\pi\) | |||||||
\(770\) | −5.41402 | + | 10.6201i | −0.195108 | + | 0.382721i | ||||
\(771\) | −0.577560 | − | 0.666540i | −0.0208003 | − | 0.0240049i | ||||
\(772\) | −7.60824 | − | 13.9335i | −0.273827 | − | 0.501476i | ||||
\(773\) | −45.5467 | + | 16.9880i | −1.63820 | + | 0.611018i | −0.988776 | − | 0.149407i | \(-0.952263\pi\) |
−0.649426 | + | 0.760425i | \(0.724991\pi\) | |||||||
\(774\) | 3.58538 | + | 2.30418i | 0.128874 | + | 0.0828222i | ||||
\(775\) | 23.9951 | − | 42.4480i | 0.861928 | − | 1.52478i | ||||
\(776\) | 4.85106 | + | 0.697477i | 0.174143 | + | 0.0250380i | ||||
\(777\) | −1.88091 | + | 5.04292i | −0.0674773 | + | 0.180914i | ||||
\(778\) | 11.1570 | − | 14.9040i | 0.399997 | − | 0.534333i | ||||
\(779\) | 29.0808 | − | 18.6891i | 1.04193 | − | 0.669607i | ||||
\(780\) | −3.63021 | + | 10.6453i | −0.129982 | + | 0.381161i | ||||
\(781\) | 5.47989i | 0.196086i | ||||||||
\(782\) | 22.0317 | + | 29.7606i | 0.787853 | + | 1.06424i | ||||
\(783\) | −4.20542 | + | 4.20542i | −0.150289 | + | 0.150289i | ||||
\(784\) | −5.74796 | − | 4.98063i | −0.205284 | − | 0.177880i | ||||
\(785\) | −1.66975 | − | 9.66068i | −0.0595960 | − | 0.344805i | ||||
\(786\) | −1.33651 | − | 9.29565i | −0.0476718 | − | 0.331565i | ||||
\(787\) | −15.8822 | − | 5.92375i | −0.566139 | − | 0.211159i | 0.0500646 | − | 0.998746i | \(-0.484057\pi\) |
−0.616203 | + | 0.787587i | \(0.711330\pi\) | |||||||
\(788\) | 3.00017 | + | 4.00775i | 0.106876 | + | 0.142770i | ||||
\(789\) | 19.6815 | − | 5.77902i | 0.700681 | − | 0.205738i | ||||
\(790\) | −9.56798 | − | 13.9991i | −0.340413 | − | 0.498064i | ||||
\(791\) | −12.9872 | + | 28.4381i | −0.461773 | + | 1.01114i | ||||
\(792\) | 1.22429 | − | 0.668513i | 0.0435032 | − | 0.0237546i | ||||
\(793\) | −0.685601 | + | 9.58595i | −0.0243464 | + | 0.340407i | ||||
\(794\) | −5.47494 | + | 4.74406i | −0.194298 | + | 0.168360i | ||||
\(795\) | −6.31627 | + | 0.632141i | −0.224015 | + | 0.0224197i | ||||
\(796\) | 12.0444 | + | 5.50051i | 0.426904 | + | 0.194960i | ||||
\(797\) | 34.1645 | − | 7.43203i | 1.21017 | − | 0.263256i | 0.438177 | − | 0.898889i | \(-0.355624\pi\) |
0.771992 | + | 0.635633i | \(0.219261\pi\) | |||||||
\(798\) | −9.69377 | + | 17.7528i | −0.343156 | + | 0.628443i | ||||
\(799\) | 11.0404 | − | 76.7876i | 0.390581 | − | 2.71655i | ||||
\(800\) | −2.00999 | − | 4.57820i | −0.0710639 | − | 0.161864i | ||||
\(801\) | 0.881537 | − | 0.126746i | 0.0311476 | − | 0.00447834i | ||||
\(802\) | 2.31882 | − | 10.6594i | 0.0818804 | − | 0.376398i | ||||
\(803\) | 10.8991 | − | 0.779516i | 0.384619 | − | 0.0275085i | ||||
\(804\) | 11.5624 | 0.407774 | ||||||||
\(805\) | 39.8358 | − | 9.63093i | 1.40403 | − | 0.339446i | ||||
\(806\) | 49.0523 | 1.72779 | ||||||||
\(807\) | 20.1865 | − | 1.44377i | 0.710598 | − | 0.0508229i | ||||
\(808\) | 3.54230 | − | 16.2837i | 0.124618 | − | 0.572859i | ||||
\(809\) | 38.3326 | − | 5.51140i | 1.34770 | − | 0.193770i | 0.569607 | − | 0.821917i | \(-0.307095\pi\) |
0.778095 | + | 0.628147i | \(0.216186\pi\) | |||||||
\(810\) | −0.0633826 | − | 2.23517i | −0.00222704 | − | 0.0785359i | ||||
\(811\) | −3.63626 | + | 25.2907i | −0.127686 | + | 0.888077i | 0.820790 | + | 0.571230i | \(0.193533\pi\) |
−0.948476 | + | 0.316848i | \(0.897376\pi\) | |||||||
\(812\) | −10.8930 | + | 19.9490i | −0.382268 | + | 0.700071i | ||||
\(813\) | 1.70205 | − | 0.370258i | 0.0596935 | − | 0.0129855i | ||||
\(814\) | −1.78698 | − | 0.816087i | −0.0626336 | − | 0.0286038i | ||||
\(815\) | −23.3168 | + | 28.5029i | −0.816750 | + | 0.998414i | ||||
\(816\) | 5.83508 | − | 5.05613i | 0.204269 | − | 0.177000i | ||||
\(817\) | 1.60919 | − | 22.4994i | 0.0562985 | − | 0.787156i | ||||
\(818\) | −31.6733 | + | 17.2949i | −1.10743 | + | 0.604702i | ||||
\(819\) | −7.98551 | + | 17.4858i | −0.279036 | + | 0.611004i | ||||
\(820\) | −2.69869 | + | 14.3532i | −0.0942425 | + | 0.501237i | ||||
\(821\) | 38.4407 | − | 11.2872i | 1.34159 | − | 0.393926i | 0.469353 | − | 0.883011i | \(-0.344487\pi\) |
0.872236 | + | 0.489085i | \(0.162669\pi\) | |||||||
\(822\) | −1.44429 | − | 1.92935i | −0.0503754 | − | 0.0672937i | ||||
\(823\) | −31.6314 | − | 11.7979i | −1.10260 | − | 0.411249i | −0.268734 | − | 0.963215i | \(-0.586605\pi\) |
−0.833867 | + | 0.551966i | \(0.813878\pi\) | |||||||
\(824\) | −2.60768 | − | 18.1368i | −0.0908429 | − | 0.631826i | ||||
\(825\) | −5.92219 | + | 3.68408i | −0.206184 | + | 0.128263i | ||||
\(826\) | −11.3876 | − | 9.86742i | −0.396226 | − | 0.343332i | ||||
\(827\) | −5.47322 | + | 5.47322i | −0.190323 | + | 0.190323i | −0.795835 | − | 0.605513i | \(-0.792968\pi\) |
0.605513 | + | 0.795835i | \(0.292968\pi\) | |||||||
\(828\) | −4.48445 | − | 1.69992i | −0.155845 | − | 0.0590763i | ||||
\(829\) | 5.14955i | 0.178851i | 0.995993 | + | 0.0894257i | \(0.0285031\pi\) | ||||
−0.995993 | + | 0.0894257i | \(0.971497\pi\) | |||||||
\(830\) | −18.6333 | − | 6.35425i | −0.646770 | − | 0.220559i | ||||
\(831\) | −22.4722 | + | 14.4420i | −0.779552 | + | 0.500987i | ||||
\(832\) | 3.01431 | − | 4.02665i | 0.104502 | − | 0.139599i | ||||
\(833\) | −20.5214 | + | 55.0201i | −0.711025 | + | 1.90633i | ||||
\(834\) | 10.2980 | + | 1.48062i | 0.356589 | + | 0.0512698i | ||||
\(835\) | −30.2012 | − | 3.47171i | −1.04516 | − | 0.120144i | ||||
\(836\) | −6.21079 | − | 3.99143i | −0.214805 | − | 0.138046i | ||||
\(837\) | −9.13724 | + | 3.40801i | −0.315829 | + | 0.117798i | ||||
\(838\) | 7.99415 | + | 14.6402i | 0.276153 | + | 0.505737i | ||||
\(839\) | −25.6253 | − | 29.5732i | −0.884683 | − | 1.02098i | −0.999619 | − | 0.0276059i | \(-0.991212\pi\) |
0.114936 | − | 0.993373i | \(-0.463334\pi\) | |||||||
\(840\) | −2.63904 | − | 8.12795i | −0.0910555 | − | 0.280441i | ||||
\(841\) | 6.11304 | + | 1.79495i | 0.210795 | + | 0.0618949i | ||||
\(842\) | −12.8959 | − | 34.5753i | −0.444423 | − | 1.19154i | ||||
\(843\) | 6.32971 | + | 29.0972i | 0.218007 | + | 1.00216i | ||||
\(844\) | −1.79913 | − | 6.12726i | −0.0619285 | − | 0.210909i | ||||
\(845\) | 26.6986 | − | 6.60575i | 0.918458 | − | 0.227245i | ||||
\(846\) | 4.17395 | + | 9.13968i | 0.143503 | + | 0.314229i | ||||
\(847\) | 27.7009 | + | 20.7367i | 0.951815 | + | 0.712520i | ||||
\(848\) | 2.77396 | + | 0.603437i | 0.0952581 | + | 0.0207221i | ||||
\(849\) | −8.61760 | + | 9.94524i | −0.295755 | + | 0.341320i | ||||
\(850\) | −27.6959 | + | 26.8933i | −0.949963 | + | 0.922434i | ||||
\(851\) | 1.86826 | + | 6.49060i | 0.0640430 | + | 0.222495i | ||||
\(852\) | −2.77785 | − | 2.77785i | −0.0951675 | − | 0.0951675i | ||||
\(853\) | −3.59373 | − | 50.2469i | −0.123047 | − | 1.72042i | −0.566449 | − | 0.824097i | \(-0.691683\pi\) |
0.443402 | − | 0.896323i | \(-0.353771\pi\) | |||||||
\(854\) | −3.94777 | − | 6.14285i | −0.135090 | − | 0.210204i | ||||
\(855\) | −10.2221 | + | 5.96390i | −0.349588 | + | 0.203961i | ||||
\(856\) | −3.26171 | + | 1.48957i | −0.111483 | + | 0.0509126i | ||||
\(857\) | −4.19021 | + | 3.13675i | −0.143135 | + | 0.107149i | −0.668446 | − | 0.743761i | \(-0.733040\pi\) |
0.525311 | + | 0.850911i | \(0.323949\pi\) | |||||||
\(858\) | −6.15807 | − | 3.36256i | −0.210233 | − | 0.114796i | ||||
\(859\) | 0.870484 | − | 1.35450i | 0.0297005 | − | 0.0462149i | −0.826086 | − | 0.563544i | \(-0.809437\pi\) |
0.855786 | + | 0.517329i | \(0.173074\pi\) | |||||||
\(860\) | 6.44248 | + | 7.02251i | 0.219687 | + | 0.239466i | ||||
\(861\) | −7.03244 | + | 23.9503i | −0.239665 | + | 0.816224i | ||||
\(862\) | 19.1981 | + | 1.37308i | 0.653891 | + | 0.0467672i | ||||
\(863\) | 42.5330 | + | 3.04202i | 1.44784 | + | 0.103552i | 0.772997 | − | 0.634409i | \(-0.218757\pi\) |
0.674843 | + | 0.737961i | \(0.264211\pi\) | |||||||
\(864\) | −0.281733 | + | 0.959493i | −0.00958474 | + | 0.0326426i | ||||
\(865\) | −18.0113 | − | 19.6329i | −0.612404 | − | 0.667540i | ||||
\(866\) | 5.72465 | − | 8.90774i | 0.194532 | − | 0.302697i | ||||
\(867\) | −37.4002 | − | 20.4221i | −1.27018 | − | 0.693570i | ||||
\(868\) | −29.8361 | + | 22.3351i | −1.01270 | + | 0.758101i | ||||
\(869\) | 9.62195 | − | 4.39420i | 0.326402 | − | 0.149063i | ||||
\(870\) | −11.4866 | + | 6.70168i | −0.389434 | + | 0.227208i | ||||
\(871\) | −31.4425 | − | 48.9254i | −1.06539 | − | 1.65777i | ||||
\(872\) | −0.862043 | − | 12.0529i | −0.0291925 | − | 0.408164i | ||||
\(873\) | 3.46549 | + | 3.46549i | 0.117289 | + | 0.117289i | ||||
\(874\) | 3.47822 | + | 25.1431i | 0.117652 | + | 0.850478i | ||||
\(875\) | 15.4770 | + | 39.8267i | 0.523218 | + | 1.34639i | ||||
\(876\) | −5.12976 | + | 5.92006i | −0.173319 | + | 0.200020i | ||||
\(877\) | −4.11673 | − | 0.895540i | −0.139012 | − | 0.0302402i | 0.142521 | − | 0.989792i | \(-0.454479\pi\) |
−0.281533 | + | 0.959552i | \(0.590843\pi\) | |||||||
\(878\) | 15.9798 | + | 11.9623i | 0.539293 | + | 0.403709i | ||||
\(879\) | 0.863939 | + | 1.89176i | 0.0291399 | + | 0.0638075i | ||||
\(880\) | 3.02783 | − | 0.749145i | 0.102068 | − | 0.0252537i | ||||
\(881\) | 1.79177 | + | 6.10220i | 0.0603662 | + | 0.205588i | 0.984154 | − | 0.177317i | \(-0.0567417\pi\) |
−0.923788 | + | 0.382905i | \(0.874924\pi\) | |||||||
\(882\) | −1.61669 | − | 7.43182i | −0.0544369 | − | 0.250242i | ||||
\(883\) | −0.404560 | − | 1.08467i | −0.0136145 | − | 0.0365020i | 0.929965 | − | 0.367649i | \(-0.119837\pi\) |
−0.943579 | + | 0.331147i | \(0.892564\pi\) | |||||||
\(884\) | −37.2624 | − | 10.9412i | −1.25327 | − | 0.367994i | ||||
\(885\) | −2.72258 | − | 8.38524i | −0.0915185 | − | 0.281867i | ||||
\(886\) | 2.89342 | + | 3.33919i | 0.0972064 | + | 0.112182i | ||||
\(887\) | 7.65067 | + | 14.0111i | 0.256884 | + | 0.470448i | 0.974013 | − | 0.226492i | \(-0.0727258\pi\) |
−0.717129 | + | 0.696941i | \(0.754544\pi\) | |||||||
\(888\) | 1.31954 | − | 0.492162i | 0.0442808 | − | 0.0165159i | ||||
\(889\) | −16.0566 | − | 10.3190i | −0.538522 | − | 0.346087i | ||||
\(890\) | 1.97842 | + | 0.227424i | 0.0663167 | + | 0.00762328i | ||||
\(891\) | 1.38072 | + | 0.198517i | 0.0462558 | + | 0.00665058i | ||||
\(892\) | 8.86532 | − | 23.7689i | 0.296833 | − | 0.795840i | ||||
\(893\) | 31.8687 | − | 42.5716i | 1.06645 | − | 1.42460i | ||||
\(894\) | −12.5676 | + | 8.07674i | −0.420325 | + | 0.270126i | ||||
\(895\) | 5.65781 | + | 1.92941i | 0.189120 | + | 0.0644930i | ||||
\(896\) | 3.82173i | 0.127675i | ||||||||
\(897\) | 5.00180 | + | 23.5983i | 0.167005 | + | 0.787926i | ||||
\(898\) | 17.4310 | − | 17.4310i | 0.581678 | − | 0.581678i | ||||
\(899\) | 43.8330 | + | 37.9815i | 1.46191 | + | 1.26675i | ||||
\(900\) | 1.13453 | − | 4.86958i | 0.0378178 | − | 0.162319i | ||||
\(901\) | −3.11932 | − | 21.6953i | −0.103919 | − | 0.722776i | ||||
\(902\) | −8.53638 | − | 3.18390i | −0.284230 | − | 0.106012i | ||||
\(903\) | 9.76105 | + | 13.0392i | 0.324828 | + | 0.433919i | ||||
\(904\) | 7.84903 | − | 2.30468i | 0.261055 | − | 0.0766526i | ||||
\(905\) | 6.62884 | − | 35.2561i | 0.220350 | − | 1.17195i | ||||
\(906\) | 7.58580 | − | 16.6106i | 0.252021 | − | 0.551850i | ||||
\(907\) | −23.6872 | + | 12.9342i | −0.786521 | + | 0.429473i | −0.821709 | − | 0.569908i | \(-0.806979\pi\) |
0.0351876 | + | 0.999381i | \(0.488797\pi\) | |||||||
\(908\) | 1.29265 | − | 18.0736i | 0.0428981 | − | 0.599794i | ||||
\(909\) | 12.5942 | − | 10.9130i | 0.417724 | − | 0.361960i | ||||
\(910\) | −27.2163 | + | 33.2699i | −0.902212 | + | 1.10289i | ||||
\(911\) | 13.5044 | + | 6.16726i | 0.447421 | + | 0.204330i | 0.626367 | − | 0.779529i | \(-0.284541\pi\) |
−0.178945 | + | 0.983859i | \(0.557269\pi\) | |||||||
\(912\) | 5.17167 | − | 1.12503i | 0.171251 | − | 0.0372534i | ||||
\(913\) | 5.88576 | − | 10.7790i | 0.194790 | − | 0.356731i | ||||
\(914\) | 0.672757 | − | 4.67913i | 0.0222528 | − | 0.154772i | ||||
\(915\) | −0.121102 | − | 4.27064i | −0.00400352 | − | 0.141183i | ||||
\(916\) | 0.362551 | − | 0.0521269i | 0.0119790 | − | 0.00172232i | ||||
\(917\) | 7.62913 | − | 35.0706i | 0.251936 | − | 1.15813i | ||||
\(918\) | 7.70125 | − | 0.550804i | 0.254179 | − | 0.0181793i | ||||
\(919\) | 51.5573 | 1.70072 | 0.850359 | − | 0.526203i | \(-0.176385\pi\) | ||||
0.850359 | + | 0.526203i | \(0.176385\pi\) | |||||||
\(920\) | −8.73046 | − | 6.22728i | −0.287835 | − | 0.205307i | ||||
\(921\) | 5.99123 | 0.197418 | ||||||||
\(922\) | 12.8270 | − | 0.917405i | 0.422435 | − | 0.0302131i | ||||
\(923\) | −4.20026 | + | 19.3083i | −0.138253 | + | 0.635540i | ||||
\(924\) | 5.27674 | − | 0.758680i | 0.173592 | − | 0.0249588i | ||||
\(925\) | −6.44764 | + | 2.83074i | −0.211997 | + | 0.0930740i | ||||
\(926\) | −3.22553 | + | 22.4340i | −0.105997 | + | 0.737229i | ||||
\(927\) | 8.78144 | − | 16.0820i | 0.288420 | − | 0.528202i | ||||
\(928\) | 5.81145 | − | 1.26420i | 0.190770 | − | 0.0414995i | ||||
\(929\) | −2.92603 | − | 1.33627i | −0.0960000 | − | 0.0438417i | 0.366836 | − | 0.930286i | \(-0.380441\pi\) |
−0.462836 | + | 0.886444i | \(0.653168\pi\) | |||||||
\(930\) | −21.6980 | + | 2.17156i | −0.711505 | + | 0.0712084i | ||||
\(931\) | −30.4218 | + | 26.3606i | −0.997034 | + | 0.863934i | ||||
\(932\) | −1.54482 | + | 21.5994i | −0.0506023 | + | 0.707512i | ||||
\(933\) | −16.4919 | + | 9.00528i | −0.539922 | + | 0.294820i | ||||
\(934\) | 16.8141 | − | 36.8177i | 0.550173 | − | 1.20471i | ||||
\(935\) | −13.5891 | − | 19.8823i | −0.444410 | − | 0.650222i | ||||
\(936\) | 4.82616 | − | 1.41709i | 0.157748 | − | 0.0463190i | ||||
\(937\) | −20.3483 | − | 27.1822i | −0.664750 | − | 0.888003i | 0.333755 | − | 0.942660i | \(-0.391684\pi\) |
−0.998505 | + | 0.0546574i | \(0.982593\pi\) | |||||||
\(938\) | 41.4023 | + | 15.4422i | 1.35183 | + | 0.504207i | ||||
\(939\) | 1.38009 | + | 9.59873i | 0.0450375 | + | 0.313243i | ||||
\(940\) | 3.82651 | + | 22.1390i | 0.124807 | + | 0.722095i | ||||
\(941\) | 18.0952 | + | 15.6796i | 0.589888 | + | 0.511141i | 0.897875 | − | 0.440249i | \(-0.145110\pi\) |
−0.307987 | + | 0.951390i | \(0.599655\pi\) | |||||||
\(942\) | −3.10027 | + | 3.10027i | −0.101012 | + | 0.101012i | ||||
\(943\) | 10.7898 | + | 29.4067i | 0.351363 | + | 0.957614i | ||||
\(944\) | 3.94271i | 0.128324i | ||||||||
\(945\) | 2.75824 | − | 8.08828i | 0.0897256 | − | 0.263112i | ||||
\(946\) | −5.00131 | + | 3.21415i | −0.162607 | + | 0.104501i | ||||
\(947\) | −8.58935 | + | 11.4740i | −0.279117 | + | 0.372856i | −0.918089 | − | 0.396373i | \(-0.870269\pi\) |
0.638973 | + | 0.769229i | \(0.279360\pi\) | |||||||
\(948\) | −2.65003 | + | 7.10502i | −0.0860691 | + | 0.230760i | ||||
\(949\) | 39.0001 | + | 5.60737i | 1.26600 | + | 0.182023i | ||||
\(950\) | −25.4980 | + | 7.08145i | −0.827266 | + | 0.229753i | ||||
\(951\) | 11.4881 | + | 7.38295i | 0.372527 | + | 0.239409i | ||||
\(952\) | 27.6469 | − | 10.3117i | 0.896040 | − | 0.334206i | ||||
\(953\) | 13.9946 | + | 25.6292i | 0.453330 | + | 0.830211i | 0.999974 | − | 0.00715329i | \(-0.00227698\pi\) |
−0.546645 | + | 0.837365i | \(0.684095\pi\) | |||||||
\(954\) | 1.85904 | + | 2.14545i | 0.0601887 | + | 0.0694614i | ||||
\(955\) | −1.62800 | + | 3.19347i | −0.0526809 | + | 0.103338i | ||||
\(956\) | 13.9635 | + | 4.10004i | 0.451610 | + | 0.132605i | ||||
\(957\) | −2.89918 | − | 7.77301i | −0.0937173 | − | 0.251266i | ||||
\(958\) | −0.495634 | − | 2.27839i | −0.0160132 | − | 0.0736115i | ||||
\(959\) | −2.59492 | − | 8.83748i | −0.0837943 | − | 0.285377i | ||||
\(960\) | −1.15510 | + | 1.91461i | −0.0372808 | + | 0.0617938i | ||||
\(961\) | 26.6297 | + | 58.3108i | 0.859021 | + | 1.88099i | ||||
\(962\) | −5.67087 | − | 4.24516i | −0.182836 | − | 0.136869i | ||||
\(963\) | −3.50380 | − | 0.762205i | −0.112908 | − | 0.0245617i | ||||
\(964\) | −14.8555 | + | 17.1441i | −0.478463 | + | 0.552176i | ||||
\(965\) | 13.8253 | − | 32.6954i | 0.445053 | − | 1.05250i | ||||
\(966\) | −13.7874 | − | 12.0763i | −0.443603 | − | 0.388548i | ||||
\(967\) | −7.77763 | − | 7.77763i | −0.250112 | − | 0.250112i | 0.570905 | − | 0.821016i | \(-0.306593\pi\) |
−0.821016 | + | 0.570905i | \(0.806593\pi\) | |||||||
\(968\) | −0.645920 | − | 9.03114i | −0.0207606 | − | 0.290272i | ||||
\(969\) | −22.0927 | − | 34.3770i | −0.709721 | − | 1.10435i | ||||
\(970\) | 5.52254 | + | 9.46561i | 0.177318 | + | 0.303922i | ||||
\(971\) | −34.8195 | + | 15.9015i | −1.11741 | + | 0.510304i | −0.886527 | − | 0.462678i | \(-0.846889\pi\) |
−0.230883 | + | 0.972982i | \(0.574161\pi\) | |||||||
\(972\) | −0.800541 | + | 0.599278i | −0.0256774 | + | 0.0192218i | ||||
\(973\) | 34.8972 | + | 19.0553i | 1.11875 | + | 0.610885i | ||||
\(974\) | 8.61002 | − | 13.3975i | 0.275883 | − | 0.429282i | ||||
\(975\) | −23.6905 | + | 8.44151i | −0.758704 | + | 0.270345i | ||||
\(976\) | −0.538294 | + | 1.83326i | −0.0172304 | + | 0.0586813i | ||||
\(977\) | 39.9418 | + | 2.85669i | 1.27785 | + | 0.0913937i | 0.693708 | − | 0.720256i | \(-0.255976\pi\) |
0.584144 | + | 0.811650i | \(0.301430\pi\) | |||||||
\(978\) | 16.4267 | + | 1.17486i | 0.525269 | + | 0.0375680i | ||||
\(979\) | −0.350001 | + | 1.19199i | −0.0111861 | + | 0.0380963i | ||||
\(980\) | 0.731921 | − | 16.9910i | 0.0233804 | − | 0.542756i | ||||
\(981\) | 6.53296 | − | 10.1655i | 0.208581 | − | 0.324559i | ||||
\(982\) | 33.2680 | + | 18.1657i | 1.06162 | + | 0.579691i | ||||
\(983\) | 40.4115 | − | 30.2517i | 1.28893 | − | 0.964878i | 0.288955 | − | 0.957343i | \(-0.406692\pi\) |
0.999972 | − | 0.00753557i | \(-0.00239867\pi\) | |||||||
\(984\) | 5.94121 | − | 2.71326i | 0.189399 | − | 0.0864955i | ||||
\(985\) | −2.84811 | + | 10.8261i | −0.0907483 | + | 0.344947i | ||||
\(986\) | −24.8258 | − | 38.6296i | −0.790613 | − | 1.23022i | ||||
\(987\) | 2.73939 | + | 38.3017i | 0.0871957 | + | 1.21916i | ||||
\(988\) | −18.8242 | − | 18.8242i | −0.598877 | − | 0.598877i | ||||
\(989\) | 19.5806 | + | 5.86305i | 0.622628 | + | 0.186434i | ||||
\(990\) | 2.87285 | + | 1.21479i | 0.0913051 | + | 0.0386085i | ||||
\(991\) | −27.5733 | + | 31.8212i | −0.875893 | + | 1.01083i | 0.123935 | + | 0.992290i | \(0.460449\pi\) |
−0.999828 | + | 0.0185444i | \(0.994097\pi\) | |||||||
\(992\) | 9.52925 | + | 2.07296i | 0.302554 | + | 0.0658166i | ||||
\(993\) | −12.4577 | − | 9.32572i | −0.395333 | − | 0.295943i | ||||
\(994\) | −6.23686 | − | 13.6568i | −0.197821 | − | 0.433168i | ||||
\(995\) | 7.11112 | + | 28.7411i | 0.225438 | + | 0.911155i | ||||
\(996\) | 2.48045 | + | 8.44762i | 0.0785959 | + | 0.267673i | ||||
\(997\) | −4.64348 | − | 21.3457i | −0.147060 | − | 0.676026i | −0.990353 | − | 0.138570i | \(-0.955749\pi\) |
0.843292 | − | 0.537455i | \(-0.180614\pi\) | |||||||
\(998\) | −1.67312 | − | 4.48581i | −0.0529617 | − | 0.141996i | ||||
\(999\) | 1.35129 | + | 0.396773i | 0.0427528 | + | 0.0125534i |
(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 | 690.2.w.b.7.4 | ✓ | 240 | |
5.3 | odd | 4 | inner | 690.2.w.b.283.9 | yes | 240 | |
23.10 | odd | 22 | inner | 690.2.w.b.217.9 | yes | 240 | |
115.33 | even | 44 | inner | 690.2.w.b.493.4 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.b.7.4 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.w.b.217.9 | yes | 240 | 23.10 | odd | 22 | inner | |
690.2.w.b.283.9 | yes | 240 | 5.3 | odd | 4 | inner | |
690.2.w.b.493.4 | yes | 240 | 115.33 | even | 44 | inner |