Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [221,2,Mod(44,221)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(221, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([12, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("221.44");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 221 = 13 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 221.z (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.76469388467\) |
Analytic rank: | \(0\) |
Dimension: | \(152\) |
Relative dimension: | \(19\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 44.9 | ||
Character | \(\chi\) | \(=\) | 221.44 |
Dual form | 221.2.z.a.216.9 |
$q$-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 \(\left(\mathbb{Z}/221\mathbb{Z}\right)^\times\).
\(n\) | \(105\) | \(171\) |
\(\chi(n)\) | \(e\left(\frac{3}{16}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.139805 | − | 0.337519i | −0.0988570 | − | 0.238662i | 0.866712 | − | 0.498809i | \(-0.166229\pi\) |
−0.965569 | + | 0.260147i | \(0.916229\pi\) | |||||||
\(3\) | −2.15216 | − | 1.43803i | −1.24255 | − | 0.830245i | −0.252044 | − | 0.967716i | \(-0.581103\pi\) |
−0.990506 | + | 0.137471i | \(0.956103\pi\) | |||||||
\(4\) | 1.31984 | − | 1.31984i | 0.659920 | − | 0.659920i | ||||
\(5\) | 1.49666 | − | 2.23991i | 0.669328 | − | 1.00172i | −0.329024 | − | 0.944322i | \(-0.606720\pi\) |
0.998351 | − | 0.0573981i | \(-0.0182804\pi\) | |||||||
\(6\) | −0.184479 | + | 0.927438i | −0.0753132 | + | 0.378625i | ||||
\(7\) | 0.0376968 | + | 0.0564173i | 0.0142481 | + | 0.0213237i | 0.838525 | − | 0.544863i | \(-0.183418\pi\) |
−0.824277 | + | 0.566186i | \(0.808418\pi\) | |||||||
\(8\) | −1.30503 | − | 0.540561i | −0.461398 | − | 0.191117i | ||||
\(9\) | 1.41582 | + | 3.41808i | 0.471939 | + | 1.13936i | ||||
\(10\) | −0.965254 | − | 0.192001i | −0.305240 | − | 0.0607161i | ||||
\(11\) | −0.923779 | + | 4.64415i | −0.278530 | + | 1.40026i | 0.547580 | + | 0.836754i | \(0.315549\pi\) |
−0.826109 | + | 0.563510i | \(0.809451\pi\) | |||||||
\(12\) | −4.73847 | + | 0.942540i | −1.36788 | + | 0.272088i | ||||
\(13\) | −1.98576 | − | 3.00944i | −0.550751 | − | 0.834669i | ||||
\(14\) | 0.0137717 | − | 0.0206108i | 0.00368064 | − | 0.00550847i | ||||
\(15\) | −6.44211 | + | 2.66841i | −1.66335 | + | 0.688980i | ||||
\(16\) | − | 3.21703i | − | 0.804256i | ||||||
\(17\) | 1.41033 | − | 3.87440i | 0.342055 | − | 0.939680i | ||||
\(18\) | 0.955730 | − | 0.955730i | 0.225268 | − | 0.225268i | ||||
\(19\) | −0.167004 | − | 0.403182i | −0.0383133 | − | 0.0924964i | 0.903565 | − | 0.428452i | \(-0.140941\pi\) |
−0.941878 | + | 0.335955i | \(0.890941\pi\) | |||||||
\(20\) | −0.980973 | − | 4.93168i | −0.219352 | − | 1.10276i | ||||
\(21\) | − | 0.175628i | − | 0.0383252i | ||||||
\(22\) | 1.69664 | − | 0.337482i | 0.361724 | − | 0.0719514i | ||||
\(23\) | 0.607653 | + | 0.909418i | 0.126705 | + | 0.189627i | 0.889398 | − | 0.457133i | \(-0.151124\pi\) |
−0.762694 | + | 0.646760i | \(0.776124\pi\) | |||||||
\(24\) | 2.03129 | + | 3.04004i | 0.414635 | + | 0.620545i | ||||
\(25\) | −0.863798 | − | 2.08539i | −0.172760 | − | 0.417078i | ||||
\(26\) | −0.738125 | + | 1.09097i | −0.144758 | + | 0.213956i | ||||
\(27\) | 0.353329 | − | 1.77631i | 0.0679982 | − | 0.341850i | ||||
\(28\) | 0.124216 | + | 0.0247080i | 0.0234745 | + | 0.00466937i | ||||
\(29\) | 1.45279 | + | 7.30369i | 0.269777 | + | 1.35626i | 0.843463 | + | 0.537187i | \(0.180513\pi\) |
−0.573686 | + | 0.819075i | \(0.694487\pi\) | |||||||
\(30\) | 1.80128 | + | 1.80128i | 0.328867 | + | 0.328867i | ||||
\(31\) | −0.417831 | − | 2.10058i | −0.0750446 | − | 0.377275i | 0.924951 | − | 0.380085i | \(-0.124105\pi\) |
−0.999996 | + | 0.00281056i | \(0.999105\pi\) | |||||||
\(32\) | −3.69587 | + | 1.53088i | −0.653343 | + | 0.270624i | ||||
\(33\) | 8.66653 | − | 8.66653i | 1.50865 | − | 1.50865i | ||||
\(34\) | −1.50485 | + | 0.0656468i | −0.258080 | + | 0.0112583i | ||||
\(35\) | 0.182789 | 0.0308970 | ||||||||
\(36\) | 6.37997 | + | 2.64267i | 1.06333 | + | 0.440445i | ||||
\(37\) | −0.279777 | − | 1.40653i | −0.0459950 | − | 0.231233i | 0.950949 | − | 0.309346i | \(-0.100110\pi\) |
−0.996944 | + | 0.0781138i | \(0.975110\pi\) | |||||||
\(38\) | −0.112734 | + | 0.112734i | −0.0182878 | + | 0.0182878i | ||||
\(39\) | −0.0539834 | + | 9.33238i | −0.00864426 | + | 1.49438i | ||||
\(40\) | −3.16400 | + | 2.11412i | −0.500272 | + | 0.334271i | ||||
\(41\) | −2.06214 | + | 1.37788i | −0.322053 | + | 0.215189i | −0.706078 | − | 0.708134i | \(-0.749537\pi\) |
0.384026 | + | 0.923322i | \(0.374537\pi\) | |||||||
\(42\) | −0.0592778 | + | 0.0245537i | −0.00914676 | + | 0.00378871i | ||||
\(43\) | 7.36036 | − | 3.04876i | 1.12244 | − | 0.464932i | 0.257238 | − | 0.966348i | \(-0.417188\pi\) |
0.865206 | + | 0.501417i | \(0.167188\pi\) | |||||||
\(44\) | 4.91029 | + | 7.34877i | 0.740254 | + | 1.10787i | ||||
\(45\) | 9.77521 | + | 1.94441i | 1.45720 | + | 0.289856i | ||||
\(46\) | 0.221993 | − | 0.332236i | 0.0327311 | − | 0.0489855i | ||||
\(47\) | 10.7304 | 1.56519 | 0.782594 | − | 0.622533i | \(-0.213896\pi\) | ||||
0.782594 | + | 0.622533i | \(0.213896\pi\) | |||||||
\(48\) | −4.62617 | + | 6.92355i | −0.667730 | + | 0.999328i | ||||
\(49\) | 2.67702 | − | 6.46290i | 0.382432 | − | 0.923272i | ||||
\(50\) | −0.583096 | + | 0.583096i | −0.0824623 | + | 0.0824623i | ||||
\(51\) | −8.60674 | + | 6.31023i | −1.20519 | + | 0.883609i | ||||
\(52\) | −6.59287 | − | 1.35109i | −0.914267 | − | 0.187363i | ||||
\(53\) | 2.77013 | − | 6.68769i | 0.380507 | − | 0.918625i | −0.611361 | − | 0.791352i | \(-0.709378\pi\) |
0.991868 | − | 0.127273i | \(-0.0406224\pi\) | |||||||
\(54\) | −0.648934 | + | 0.129081i | −0.0883088 | + | 0.0175657i | ||||
\(55\) | 9.01991 | + | 9.01991i | 1.21624 | + | 1.21624i | ||||
\(56\) | −0.0186985 | − | 0.0940036i | −0.00249869 | − | 0.0125618i | ||||
\(57\) | −0.220369 | + | 1.10787i | −0.0291885 | + | 0.146741i | ||||
\(58\) | 2.26203 | − | 1.51144i | 0.297019 | − | 0.198462i | ||||
\(59\) | 3.86848 | + | 1.60238i | 0.503633 | + | 0.208612i | 0.620011 | − | 0.784593i | \(-0.287128\pi\) |
−0.116378 | + | 0.993205i | \(0.537128\pi\) | |||||||
\(60\) | −4.98068 | + | 12.0244i | −0.643003 | + | 1.55235i | ||||
\(61\) | 1.92201 | − | 9.66259i | 0.246088 | − | 1.23717i | −0.638069 | − | 0.769979i | \(-0.720267\pi\) |
0.884157 | − | 0.467189i | \(-0.154733\pi\) | |||||||
\(62\) | −0.650570 | + | 0.434697i | −0.0826225 | + | 0.0552066i | ||||
\(63\) | −0.139467 | + | 0.208727i | −0.0175712 | + | 0.0262972i | ||||
\(64\) | −3.51616 | − | 3.51616i | −0.439520 | − | 0.439520i | ||||
\(65\) | −9.71291 | − | 0.0561846i | −1.20474 | − | 0.00696884i | ||||
\(66\) | −4.13674 | − | 1.71349i | −0.509198 | − | 0.210917i | ||||
\(67\) | −5.96325 | − | 5.96325i | −0.728527 | − | 0.728527i | 0.241799 | − | 0.970326i | \(-0.422263\pi\) |
−0.970326 | + | 0.241799i | \(0.922263\pi\) | |||||||
\(68\) | −3.25218 | − | 6.97500i | −0.394384 | − | 0.845843i | ||||
\(69\) | − | 2.83103i | − | 0.340816i | ||||||
\(70\) | −0.0255548 | − | 0.0616948i | −0.00305439 | − | 0.00737394i | ||||
\(71\) | 0.462581 | − | 0.0920132i | 0.0548983 | − | 0.0109200i | −0.167565 | − | 0.985861i | \(-0.553590\pi\) |
0.222463 | + | 0.974941i | \(0.428590\pi\) | |||||||
\(72\) | − | 5.22603i | − | 0.615894i | ||||||
\(73\) | 0.724609 | + | 0.484169i | 0.0848091 | + | 0.0566676i | 0.597252 | − | 0.802054i | \(-0.296259\pi\) |
−0.512443 | + | 0.858721i | \(0.671259\pi\) | |||||||
\(74\) | −0.435618 | + | 0.291070i | −0.0506395 | + | 0.0338362i | ||||
\(75\) | −1.13982 | + | 5.73026i | −0.131615 | + | 0.661673i | ||||
\(76\) | −0.752554 | − | 0.311718i | −0.0863239 | − | 0.0357565i | ||||
\(77\) | −0.296834 | + | 0.122953i | −0.0338273 | + | 0.0140117i | ||||
\(78\) | 3.15740 | − | 1.28649i | 0.357505 | − | 0.145667i | ||||
\(79\) | 7.72629 | + | 11.5632i | 0.869275 | + | 1.30096i | 0.952533 | + | 0.304434i | \(0.0984673\pi\) |
−0.0832583 | + | 0.996528i | \(0.526533\pi\) | |||||||
\(80\) | −7.20586 | − | 4.81480i | −0.805640 | − | 0.538311i | ||||
\(81\) | 4.53347 | − | 4.53347i | 0.503719 | − | 0.503719i | ||||
\(82\) | 0.753359 | + | 0.503378i | 0.0831945 | + | 0.0555888i | ||||
\(83\) | −9.63978 | + | 3.99293i | −1.05810 | + | 0.438281i | −0.842778 | − | 0.538262i | \(-0.819081\pi\) |
−0.215325 | + | 0.976542i | \(0.569081\pi\) | |||||||
\(84\) | −0.231801 | − | 0.231801i | −0.0252915 | − | 0.0252915i | ||||
\(85\) | −6.56753 | − | 8.95769i | −0.712349 | − | 0.971597i | ||||
\(86\) | −2.05803 | − | 2.05803i | −0.221923 | − | 0.221923i | ||||
\(87\) | 7.37626 | − | 17.8079i | 0.790818 | − | 1.90920i | ||||
\(88\) | 3.71600 | − | 5.56139i | 0.396127 | − | 0.592846i | ||||
\(89\) | 12.8137i | 1.35825i | 0.734022 | + | 0.679126i | \(0.237641\pi\) | ||||
−0.734022 | + | 0.679126i | \(0.762359\pi\) | |||||||
\(90\) | −0.710348 | − | 3.57116i | −0.0748772 | − | 0.376433i | ||||
\(91\) | 0.0949276 | − | 0.225478i | 0.00995112 | − | 0.0236365i | ||||
\(92\) | 2.00229 | + | 0.398280i | 0.208753 | + | 0.0415236i | ||||
\(93\) | −2.12145 | + | 5.12163i | −0.219984 | + | 0.531088i | ||||
\(94\) | −1.50016 | − | 3.62171i | −0.154730 | − | 0.373551i | ||||
\(95\) | −1.15304 | − | 0.229354i | −0.118300 | − | 0.0235312i | ||||
\(96\) | 10.1555 | + | 2.02006i | 1.03649 | + | 0.206172i | ||||
\(97\) | 14.1267 | + | 9.43914i | 1.43435 | + | 0.958399i | 0.998289 | + | 0.0584805i | \(0.0186256\pi\) |
0.436057 | + | 0.899919i | \(0.356374\pi\) | |||||||
\(98\) | −2.55561 | −0.258156 | ||||||||
\(99\) | −17.1820 | + | 3.41771i | −1.72685 | + | 0.343493i | ||||
\(100\) | −3.89246 | − | 1.61231i | −0.389246 | − | 0.161231i | ||||
\(101\) | 0.489116 | 0.0486689 | 0.0243344 | − | 0.999704i | \(-0.492253\pi\) | ||||
0.0243344 | + | 0.999704i | \(0.492253\pi\) | |||||||
\(102\) | 3.33309 | + | 2.02274i | 0.330025 | + | 0.200281i | ||||
\(103\) | 8.62732i | 0.850075i | 0.905176 | + | 0.425038i | \(0.139739\pi\) | ||||
−0.905176 | + | 0.425038i | \(0.860261\pi\) | |||||||
\(104\) | 0.964691 | + | 5.00084i | 0.0945957 | + | 0.490372i | ||||
\(105\) | −0.393391 | − | 0.262856i | −0.0383911 | − | 0.0256521i | ||||
\(106\) | −2.64450 | −0.256857 | ||||||||
\(107\) | −19.9263 | + | 3.96359i | −1.92635 | + | 0.383175i | −0.926372 | + | 0.376611i | \(0.877089\pi\) |
−0.999978 | + | 0.00656404i | \(0.997911\pi\) | |||||||
\(108\) | −1.87810 | − | 2.81078i | −0.180720 | − | 0.270467i | ||||
\(109\) | 4.14650 | − | 2.77060i | 0.397163 | − | 0.265376i | −0.340911 | − | 0.940096i | \(-0.610735\pi\) |
0.738074 | + | 0.674720i | \(0.235735\pi\) | |||||||
\(110\) | 1.78336 | − | 4.30542i | 0.170037 | − | 0.410506i | ||||
\(111\) | −1.42051 | + | 3.42941i | −0.134829 | + | 0.325505i | ||||
\(112\) | 0.181496 | − | 0.121272i | 0.0171497 | − | 0.0114591i | ||||
\(113\) | −4.33510 | − | 6.48794i | −0.407812 | − | 0.610334i | 0.569537 | − | 0.821965i | \(-0.307122\pi\) |
−0.977350 | + | 0.211631i | \(0.932122\pi\) | |||||||
\(114\) | 0.404735 | − | 0.0805068i | 0.0379069 | − | 0.00754016i | ||||
\(115\) | 2.94647 | 0.274760 | ||||||||
\(116\) | 11.5572 | + | 7.72225i | 1.07306 | + | 0.716993i | ||||
\(117\) | 7.47505 | − | 11.0483i | 0.691069 | − | 1.02142i | ||||
\(118\) | − | 1.52971i | − | 0.140821i | ||||||
\(119\) | 0.271748 | − | 0.0664855i | 0.0249111 | − | 0.00609472i | ||||
\(120\) | 9.84958 | 0.899140 | ||||||||
\(121\) | −10.5521 | − | 4.37081i | −0.959279 | − | 0.397347i | ||||
\(122\) | −3.53002 | + | 0.702164i | −0.319593 | + | 0.0635709i | ||||
\(123\) | 6.41949 | 0.578826 | ||||||||
\(124\) | −3.32389 | − | 2.22096i | −0.298495 | − | 0.199448i | ||||
\(125\) | 7.24688 | + | 1.44149i | 0.648181 | + | 0.128931i | ||||
\(126\) | 0.0899477 | + | 0.0178917i | 0.00801317 | + | 0.00159392i | ||||
\(127\) | −0.953948 | − | 2.30304i | −0.0846492 | − | 0.204361i | 0.875887 | − | 0.482516i | \(-0.160277\pi\) |
−0.960536 | + | 0.278155i | \(0.910277\pi\) | |||||||
\(128\) | −3.75695 | + | 9.07008i | −0.332071 | + | 0.801689i | ||||
\(129\) | −20.2249 | − | 4.02297i | −1.78070 | − | 0.354203i | ||||
\(130\) | 1.33895 | + | 3.28615i | 0.117434 | + | 0.288214i | ||||
\(131\) | −1.99861 | − | 10.0477i | −0.174619 | − | 0.877871i | −0.964393 | − | 0.264473i | \(-0.914802\pi\) |
0.789774 | − | 0.613398i | \(-0.210198\pi\) | |||||||
\(132\) | − | 22.8769i | − | 1.99117i | ||||||
\(133\) | 0.0164509 | − | 0.0246206i | 0.00142648 | − | 0.00213487i | ||||
\(134\) | −1.17902 | + | 2.84640i | −0.101852 | + | 0.245892i | ||||
\(135\) | −3.44996 | − | 3.44996i | −0.296925 | − | 0.296925i | ||||
\(136\) | −3.93487 | + | 4.29384i | −0.337412 | + | 0.368193i | ||||
\(137\) | 15.5901 | + | 15.5901i | 1.33195 | + | 1.33195i | 0.903624 | + | 0.428327i | \(0.140897\pi\) |
0.428327 | + | 0.903624i | \(0.359103\pi\) | |||||||
\(138\) | −0.955528 | + | 0.395792i | −0.0813399 | + | 0.0336921i | ||||
\(139\) | −7.41101 | − | 4.95188i | −0.628594 | − | 0.420013i | 0.200053 | − | 0.979785i | \(-0.435889\pi\) |
−0.828647 | + | 0.559772i | \(0.810889\pi\) | |||||||
\(140\) | 0.241252 | − | 0.241252i | 0.0203896 | − | 0.0203896i | ||||
\(141\) | −23.0935 | − | 15.4306i | −1.94482 | − | 1.29949i | ||||
\(142\) | −0.0957274 | − | 0.143266i | −0.00803326 | − | 0.0120226i | ||||
\(143\) | 15.8107 | − | 6.44212i | 1.32216 | − | 0.538717i | ||||
\(144\) | 10.9961 | − | 4.55472i | 0.916338 | − | 0.379560i | ||||
\(145\) | 18.5340 | + | 7.67703i | 1.53916 | + | 0.637543i | ||||
\(146\) | 0.0621121 | − | 0.312259i | 0.00514044 | − | 0.0258427i | ||||
\(147\) | −15.0552 | + | 10.0596i | −1.24173 | + | 0.829699i | ||||
\(148\) | −2.22566 | − | 1.48714i | −0.182948 | − | 0.122242i | ||||
\(149\) | 14.0500i | 1.15102i | 0.817793 | + | 0.575512i | \(0.195197\pi\) | ||||
−0.817793 | + | 0.575512i | \(0.804803\pi\) | |||||||
\(150\) | 2.09342 | − | 0.416408i | 0.170927 | − | 0.0339996i | ||||
\(151\) | −5.80645 | − | 14.0180i | −0.472522 | − | 1.14077i | −0.963045 | − | 0.269341i | \(-0.913194\pi\) |
0.490523 | − | 0.871428i | \(-0.336806\pi\) | |||||||
\(152\) | 0.616440i | 0.0499999i | ||||||||
\(153\) | 15.2398 | − | 0.664811i | 1.23206 | − | 0.0537468i | ||||
\(154\) | 0.0829976 | + | 0.0829976i | 0.00668814 | + | 0.00668814i | ||||
\(155\) | −5.33046 | − | 2.20795i | −0.428153 | − | 0.177347i | ||||
\(156\) | 12.2460 | + | 12.3885i | 0.980464 | + | 0.991873i | ||||
\(157\) | −13.2480 | − | 13.2480i | −1.05730 | − | 1.05730i | −0.998255 | − | 0.0590483i | \(-0.981193\pi\) |
−0.0590483 | − | 0.998255i | \(-0.518807\pi\) | |||||||
\(158\) | 2.82263 | − | 4.22436i | 0.224556 | − | 0.336072i | ||||
\(159\) | −15.5788 | + | 10.4094i | −1.23548 | + | 0.825523i | ||||
\(160\) | −2.10243 | + | 10.5696i | −0.166212 | + | 0.835603i | ||||
\(161\) | −0.0284003 | + | 0.0685643i | −0.00223825 | + | 0.00540362i | ||||
\(162\) | −2.16393 | − | 0.896330i | −0.170015 | − | 0.0704224i | ||||
\(163\) | −15.7564 | + | 10.5281i | −1.23414 | + | 0.824624i | −0.989435 | − | 0.144974i | \(-0.953690\pi\) |
−0.244702 | + | 0.969598i | \(0.578690\pi\) | |||||||
\(164\) | −0.903118 | + | 4.54028i | −0.0705216 | + | 0.354536i | ||||
\(165\) | −6.44141 | − | 32.3831i | −0.501463 | − | 2.52102i | ||||
\(166\) | 2.69538 | + | 2.69538i | 0.209202 | + | 0.209202i | ||||
\(167\) | 2.52300 | − | 0.501855i | 0.195235 | − | 0.0388347i | −0.0965039 | − | 0.995333i | \(-0.530766\pi\) |
0.291739 | + | 0.956498i | \(0.405766\pi\) | |||||||
\(168\) | −0.0949376 | + | 0.229200i | −0.00732459 | + | 0.0176831i | ||||
\(169\) | −5.11350 | + | 11.9521i | −0.393346 | + | 0.919391i | ||||
\(170\) | −2.10522 | + | 3.46900i | −0.161463 | + | 0.266060i | ||||
\(171\) | 1.14166 | − | 1.14166i | 0.0873053 | − | 0.0873053i | ||||
\(172\) | 5.69062 | − | 13.7384i | 0.433906 | − | 1.04754i | ||||
\(173\) | −9.06592 | + | 13.5681i | −0.689269 | + | 1.03156i | 0.307524 | + | 0.951540i | \(0.400500\pi\) |
−0.996793 | + | 0.0800234i | \(0.974500\pi\) | |||||||
\(174\) | −7.04173 | −0.533832 | ||||||||
\(175\) | 0.0850897 | − | 0.127346i | 0.00643218 | − | 0.00962643i | ||||
\(176\) | 14.9403 | + | 2.97182i | 1.12617 | + | 0.224009i | ||||
\(177\) | −6.02132 | − | 9.01154i | −0.452590 | − | 0.677349i | ||||
\(178\) | 4.32487 | − | 1.79142i | 0.324163 | − | 0.134273i | ||||
\(179\) | 9.15561 | − | 3.79238i | 0.684322 | − | 0.283456i | −0.0133102 | − | 0.999911i | \(-0.504237\pi\) |
0.697632 | + | 0.716456i | \(0.254237\pi\) | |||||||
\(180\) | 15.4680 | − | 10.3354i | 1.15292 | − | 0.770355i | ||||
\(181\) | −6.19668 | + | 4.14049i | −0.460596 | + | 0.307760i | −0.764132 | − | 0.645060i | \(-0.776833\pi\) |
0.303537 | + | 0.952820i | \(0.401833\pi\) | |||||||
\(182\) | −0.0893744 | 0.000516989i | −0.00662487 | 3.83217e-5i | ||||||
\(183\) | −18.0315 | + | 18.0315i | −1.33293 | + | 1.33293i | ||||
\(184\) | −0.301410 | − | 1.51529i | −0.0222202 | − | 0.111709i | ||||
\(185\) | −3.56924 | − | 1.47843i | −0.262416 | − | 0.108696i | ||||
\(186\) | 2.02524 | 0.148497 | ||||||||
\(187\) | 16.6905 | + | 10.1289i | 1.22053 | + | 0.740696i | ||||
\(188\) | 14.1624 | − | 14.1624i | 1.03290 | − | 1.03290i | ||||
\(189\) | 0.113534 | − | 0.0470272i | 0.00825836 | − | 0.00342073i | ||||
\(190\) | 0.0837895 | + | 0.421238i | 0.00607873 | + | 0.0305598i | ||||
\(191\) | 0.868613 | + | 0.868613i | 0.0628506 | + | 0.0628506i | 0.737833 | − | 0.674983i | \(-0.235849\pi\) |
−0.674983 | + | 0.737833i | \(0.735849\pi\) | |||||||
\(192\) | 2.51100 | + | 12.6237i | 0.181216 | + | 0.911035i | ||||
\(193\) | −2.37250 | − | 0.471920i | −0.170777 | − | 0.0339696i | 0.108961 | − | 0.994046i | \(-0.465248\pi\) |
−0.279738 | + | 0.960076i | \(0.590248\pi\) | |||||||
\(194\) | 1.21091 | − | 6.08766i | 0.0869383 | − | 0.437068i | ||||
\(195\) | 20.8229 | + | 14.0883i | 1.49116 | + | 1.00889i | ||||
\(196\) | −4.99676 | − | 12.0632i | −0.356911 | − | 0.861660i | ||||
\(197\) | 8.64336 | + | 12.9357i | 0.615814 | + | 0.921631i | 0.999999 | − | 0.00162542i | \(-0.000517386\pi\) |
−0.384185 | + | 0.923256i | \(0.625517\pi\) | |||||||
\(198\) | 3.55567 | + | 5.32144i | 0.252690 | + | 0.378178i | ||||
\(199\) | 11.8753 | − | 2.36215i | 0.841820 | − | 0.167448i | 0.244698 | − | 0.969599i | \(-0.421311\pi\) |
0.597121 | + | 0.802151i | \(0.296311\pi\) | |||||||
\(200\) | 3.18843i | 0.225456i | ||||||||
\(201\) | 4.25855 | + | 21.4092i | 0.300375 | + | 1.51009i | ||||
\(202\) | −0.0683809 | − | 0.165086i | −0.00481126 | − | 0.0116154i | ||||
\(203\) | −0.357289 | + | 0.357289i | −0.0250767 | + | 0.0250767i | ||||
\(204\) | −3.03103 | + | 19.6880i | −0.212215 | + | 1.37844i | ||||
\(205\) | 6.68124i | 0.466638i | ||||||||
\(206\) | 2.91189 | − | 1.20614i | 0.202881 | − | 0.0840359i | ||||
\(207\) | −2.24814 | + | 3.36458i | −0.156256 | + | 0.233854i | ||||
\(208\) | −9.68146 | + | 6.38825i | −0.671288 | + | 0.442945i | ||||
\(209\) | 2.02671 | − | 0.403138i | 0.140191 | − | 0.0278857i | ||||
\(210\) | −0.0337207 | + | 0.169526i | −0.00232695 | + | 0.0116984i | ||||
\(211\) | 18.4662 | + | 3.67315i | 1.27126 | + | 0.252870i | 0.784206 | − | 0.620501i | \(-0.213071\pi\) |
0.487056 | + | 0.873371i | \(0.338071\pi\) | |||||||
\(212\) | −5.17055 | − | 12.4828i | −0.355115 | − | 0.857323i | ||||
\(213\) | −1.12787 | − | 0.467177i | −0.0772801 | − | 0.0320105i | ||||
\(214\) | 4.12359 | + | 6.17138i | 0.281883 | + | 0.421867i | ||||
\(215\) | 4.18701 | − | 21.0495i | 0.285552 | − | 1.43557i | ||||
\(216\) | −1.42131 | + | 2.12714i | −0.0967077 | + | 0.144733i | ||||
\(217\) | 0.102758 | − | 0.102758i | 0.00697566 | − | 0.00697566i | ||||
\(218\) | −1.51483 | − | 1.01218i | −0.102597 | − | 0.0685535i | ||||
\(219\) | −0.863227 | − | 2.08402i | −0.0583315 | − | 0.140825i | ||||
\(220\) | 23.8097 | 1.60525 | ||||||||
\(221\) | −14.4604 | + | 3.44933i | −0.972709 | + | 0.232027i | ||||
\(222\) | 1.35608 | 0.0910145 | ||||||||
\(223\) | 4.99170 | + | 12.0510i | 0.334269 | + | 0.806997i | 0.998244 | + | 0.0592418i | \(0.0188683\pi\) |
−0.663975 | + | 0.747755i | \(0.731132\pi\) | |||||||
\(224\) | −0.225690 | − | 0.150801i | −0.0150796 | − | 0.0100758i | ||||
\(225\) | 5.90506 | − | 5.90506i | 0.393671 | − | 0.393671i | ||||
\(226\) | −1.58373 | + | 2.37023i | −0.105348 | + | 0.157665i | ||||
\(227\) | 4.97071 | − | 24.9894i | 0.329917 | − | 1.65861i | −0.358679 | − | 0.933461i | \(-0.616773\pi\) |
0.688596 | − | 0.725145i | \(-0.258227\pi\) | |||||||
\(228\) | 1.17136 | + | 1.75306i | 0.0775750 | + | 0.116099i | ||||
\(229\) | 23.6961 | + | 9.81525i | 1.56588 | + | 0.648610i | 0.986099 | − | 0.166160i | \(-0.0531367\pi\) |
0.579785 | + | 0.814770i | \(0.303137\pi\) | |||||||
\(230\) | −0.411931 | − | 0.994490i | −0.0271619 | − | 0.0655747i | ||||
\(231\) | 0.815642 | + | 0.162241i | 0.0536653 | + | 0.0106747i | ||||
\(232\) | 2.05215 | − | 10.3169i | 0.134730 | − | 0.677335i | ||||
\(233\) | −7.35852 | + | 1.46370i | −0.482073 | + | 0.0958902i | −0.430143 | − | 0.902761i | \(-0.641537\pi\) |
−0.0519292 | + | 0.998651i | \(0.516537\pi\) | |||||||
\(234\) | −4.77407 | − | 0.978363i | −0.312091 | − | 0.0639576i | ||||
\(235\) | 16.0598 | − | 24.0351i | 1.04762 | − | 1.56788i | ||||
\(236\) | 7.22065 | − | 2.99089i | 0.470025 | − | 0.194691i | ||||
\(237\) | − | 35.9965i | − | 2.33822i | ||||||
\(238\) | −0.0604318 | − | 0.0824251i | −0.00391721 | − | 0.00534283i | ||||
\(239\) | −9.95644 | + | 9.95644i | −0.644029 | + | 0.644029i | −0.951543 | − | 0.307515i | \(-0.900503\pi\) |
0.307515 | + | 0.951543i | \(0.400503\pi\) | |||||||
\(240\) | 8.58434 | + | 20.7244i | 0.554117 | + | 1.33776i | ||||
\(241\) | 4.95116 | + | 24.8911i | 0.318932 | + | 1.60338i | 0.724473 | + | 0.689303i | \(0.242083\pi\) |
−0.405541 | + | 0.914077i | \(0.632917\pi\) | |||||||
\(242\) | 4.17259i | 0.268224i | ||||||||
\(243\) | −21.6049 | + | 4.29748i | −1.38596 | + | 0.275684i | ||||
\(244\) | −10.2163 | − | 15.2898i | −0.654033 | − | 0.978830i | ||||
\(245\) | −10.4697 | − | 15.6691i | −0.668888 | − | 1.00106i | ||||
\(246\) | −0.897476 | − | 2.16670i | −0.0572210 | − | 0.138144i | ||||
\(247\) | −0.881725 | + | 1.30321i | −0.0561028 | + | 0.0829214i | ||||
\(248\) | −0.590208 | + | 2.96718i | −0.0374783 | + | 0.188416i | ||||
\(249\) | 26.4883 | + | 5.26884i | 1.67863 | + | 0.333899i | ||||
\(250\) | −0.526618 | − | 2.64749i | −0.0333063 | − | 0.167442i | ||||
\(251\) | 10.7822 | + | 10.7822i | 0.680569 | + | 0.680569i | 0.960128 | − | 0.279559i | \(-0.0901883\pi\) |
−0.279559 | + | 0.960128i | \(0.590188\pi\) | |||||||
\(252\) | 0.0914124 | + | 0.459561i | 0.00575844 | + | 0.0289496i | ||||
\(253\) | −4.78481 | + | 1.98193i | −0.300818 | + | 0.124603i | ||||
\(254\) | −0.643952 | + | 0.643952i | −0.0404051 | + | 0.0404051i | ||||
\(255\) | 1.25298 | + | 28.7226i | 0.0784646 | + | 1.79868i | ||||
\(256\) | −6.35864 | −0.397415 | ||||||||
\(257\) | 0.376558 | + | 0.155975i | 0.0234890 | + | 0.00972947i | 0.394397 | − | 0.918940i | \(-0.370953\pi\) |
−0.370908 | + | 0.928670i | \(0.620953\pi\) | |||||||
\(258\) | 1.46970 | + | 7.38871i | 0.0914998 | + | 0.460001i | ||||
\(259\) | 0.0688061 | − | 0.0688061i | 0.00427540 | − | 0.00427540i | ||||
\(260\) | −12.8936 | + | 12.7453i | −0.799630 | + | 0.790432i | ||||
\(261\) | −22.9077 | + | 15.3065i | −1.41795 | + | 0.947446i | ||||
\(262\) | −3.11187 | + | 2.07929i | −0.192252 | + | 0.128459i | ||||
\(263\) | −3.82612 | + | 1.58483i | −0.235928 | + | 0.0977248i | −0.497515 | − | 0.867455i | \(-0.665754\pi\) |
0.261587 | + | 0.965180i | \(0.415754\pi\) | |||||||
\(264\) | −15.9949 | + | 6.62529i | −0.984415 | + | 0.407758i | ||||
\(265\) | −10.8339 | − | 16.2141i | −0.665521 | − | 0.996022i | ||||
\(266\) | −0.0106098 | − | 0.00211043i | −0.000650531 | − | 0.000129399i | ||||
\(267\) | 18.4265 | − | 27.5772i | 1.12768 | − | 1.68769i | ||||
\(268\) | −15.7411 | −0.961539 | ||||||||
\(269\) | 1.34282 | − | 2.00968i | 0.0818734 | − | 0.122532i | −0.788273 | − | 0.615326i | \(-0.789024\pi\) |
0.870146 | + | 0.492794i | \(0.164024\pi\) | |||||||
\(270\) | −0.682105 | + | 1.64675i | −0.0415116 | + | 0.100218i | ||||
\(271\) | −13.2937 | + | 13.2937i | −0.807533 | + | 0.807533i | −0.984260 | − | 0.176727i | \(-0.943449\pi\) |
0.176727 | + | 0.984260i | \(0.443449\pi\) | |||||||
\(272\) | −12.4640 | − | 4.53707i | −0.755743 | − | 0.275100i | ||||
\(273\) | −0.528542 | + | 0.348755i | −0.0319888 | + | 0.0211076i | ||||
\(274\) | 3.08238 | − | 7.44152i | 0.186213 | − | 0.449559i | ||||
\(275\) | 10.4828 | − | 2.08516i | 0.632138 | − | 0.125740i | ||||
\(276\) | −3.73651 | − | 3.73651i | −0.224911 | − | 0.224911i | ||||
\(277\) | 2.05293 | + | 10.3208i | 0.123348 | + | 0.620115i | 0.992160 | + | 0.124972i | \(0.0398842\pi\) |
−0.868812 | + | 0.495143i | \(0.835116\pi\) | |||||||
\(278\) | −0.635258 | + | 3.19366i | −0.0381002 | + | 0.191543i | ||||
\(279\) | 6.58837 | − | 4.40221i | 0.394436 | − | 0.263554i | ||||
\(280\) | −0.238545 | − | 0.0988087i | −0.0142558 | − | 0.00590495i | ||||
\(281\) | −4.09835 | + | 9.89429i | −0.244487 | + | 0.590244i | −0.997718 | − | 0.0675118i | \(-0.978494\pi\) |
0.753232 | + | 0.657755i | \(0.228494\pi\) | |||||||
\(282\) | −1.97953 | + | 9.95176i | −0.117879 | + | 0.592619i | ||||
\(283\) | −20.7425 | + | 13.8597i | −1.23301 | + | 0.823872i | −0.989289 | − | 0.145973i | \(-0.953369\pi\) |
−0.243723 | + | 0.969845i | \(0.578369\pi\) | |||||||
\(284\) | 0.489091 | − | 0.731976i | 0.0290222 | − | 0.0434348i | ||||
\(285\) | 2.15171 | + | 2.15171i | 0.127456 | + | 0.127456i | ||||
\(286\) | −4.38475 | − | 4.43577i | −0.259276 | − | 0.262293i | ||||
\(287\) | −0.155472 | − | 0.0643988i | −0.00917725 | − | 0.00380134i | ||||
\(288\) | −10.4653 | − | 10.4653i | −0.616676 | − | 0.616676i | ||||
\(289\) | −13.0219 | − | 10.9284i | −0.765996 | − | 0.642845i | ||||
\(290\) | − | 7.32886i | − | 0.430366i | ||||||
\(291\) | −16.8291 | − | 40.6290i | −0.986539 | − | 2.38172i | ||||
\(292\) | 1.59539 | − | 0.317343i | 0.0933633 | − | 0.0185711i | ||||
\(293\) | − | 13.4988i | − | 0.788610i | −0.918980 | − | 0.394305i | \(-0.870985\pi\) | ||
0.918980 | − | 0.394305i | \(-0.129015\pi\) | |||||||
\(294\) | 5.50009 | + | 3.67504i | 0.320772 | + | 0.214333i | ||||
\(295\) | 9.37899 | − | 6.26684i | 0.546066 | − | 0.364870i | ||||
\(296\) | −0.395200 | + | 1.98680i | −0.0229705 | + | 0.115481i | ||||
\(297\) | 7.92303 | + | 3.28183i | 0.459741 | + | 0.190431i | ||||
\(298\) | 4.74216 | − | 1.96427i | 0.274706 | − | 0.113787i | ||||
\(299\) | 1.53019 | − | 3.63459i | 0.0884929 | − | 0.210194i | ||||
\(300\) | 6.05864 | + | 9.06740i | 0.349796 | + | 0.523507i | ||||
\(301\) | 0.449465 | + | 0.300323i | 0.0259067 | + | 0.0173103i | ||||
\(302\) | −3.91957 | + | 3.91957i | −0.225546 | + | 0.225546i | ||||
\(303\) | −1.05266 | − | 0.703362i | −0.0604735 | − | 0.0404071i | ||||
\(304\) | −1.29705 | + | 0.537255i | −0.0743908 | + | 0.0308137i | ||||
\(305\) | −18.7668 | − | 18.7668i | −1.07458 | − | 1.07458i | ||||
\(306\) | −2.35498 | − | 5.05078i | −0.134626 | − | 0.288734i | ||||
\(307\) | −9.02425 | − | 9.02425i | −0.515041 | − | 0.515041i | 0.401025 | − | 0.916067i | \(-0.368654\pi\) |
−0.916067 | + | 0.401025i | \(0.868654\pi\) | |||||||
\(308\) | −0.229495 | + | 0.554051i | −0.0130767 | + | 0.0315700i | ||||
\(309\) | 12.4063 | − | 18.5674i | 0.705771 | − | 1.05626i | ||||
\(310\) | 2.10782i | 0.119716i | ||||||||
\(311\) | −6.67566 | − | 33.5608i | −0.378542 | − | 1.90306i | −0.427034 | − | 0.904235i | \(-0.640442\pi\) |
0.0484924 | − | 0.998824i | \(-0.484558\pi\) | |||||||
\(312\) | 5.11517 | − | 12.1498i | 0.289589 | − | 0.687850i | ||||
\(313\) | 23.6626 | + | 4.70677i | 1.33749 | + | 0.266043i | 0.811451 | − | 0.584420i | \(-0.198678\pi\) |
0.526035 | + | 0.850463i | \(0.323678\pi\) | |||||||
\(314\) | −2.61931 | + | 6.32358i | −0.147816 | + | 0.356860i | ||||
\(315\) | 0.258796 | + | 0.624789i | 0.0145815 | + | 0.0352029i | ||||
\(316\) | 25.4590 | + | 5.06412i | 1.43218 | + | 0.284879i | ||||
\(317\) | −5.36093 | − | 1.06636i | −0.301100 | − | 0.0598925i | 0.0422283 | − | 0.999108i | \(-0.486554\pi\) |
−0.343328 | + | 0.939216i | \(0.611554\pi\) | |||||||
\(318\) | 5.69138 | + | 3.80286i | 0.319157 | + | 0.213254i | ||||
\(319\) | −35.2615 | −1.97426 | ||||||||
\(320\) | −13.1384 | + | 2.61339i | −0.734459 | + | 0.146093i | ||||
\(321\) | 48.5843 | + | 20.1243i | 2.71171 | + | 1.12323i | ||||
\(322\) | 0.0271123 | 0.00151091 | ||||||||
\(323\) | −1.79762 | + | 0.0784182i | −0.100022 | + | 0.00436331i | ||||
\(324\) | − | 11.9669i | − | 0.664828i | ||||||
\(325\) | −4.56057 | + | 6.74064i | −0.252975 | + | 0.373904i | ||||
\(326\) | 5.75626 | + | 3.84621i | 0.318810 | + | 0.213022i | ||||
\(327\) | −12.9081 | −0.713822 | ||||||||
\(328\) | 3.43598 | − | 0.683460i | 0.189721 | − | 0.0377378i | ||||
\(329\) | 0.404501 | + | 0.605379i | 0.0223009 | + | 0.0333756i | ||||
\(330\) | −10.0294 | + | 6.70142i | −0.552099 | + | 0.368901i | ||||
\(331\) | −0.617574 | + | 1.49096i | −0.0339449 | + | 0.0819503i | −0.939943 | − | 0.341332i | \(-0.889122\pi\) |
0.905998 | + | 0.423282i | \(0.139122\pi\) | |||||||
\(332\) | −7.45294 | + | 17.9930i | −0.409033 | + | 0.987494i | ||||
\(333\) | 4.41153 | − | 2.94769i | 0.241751 | − | 0.161533i | ||||
\(334\) | −0.522113 | − | 0.781398i | −0.0285688 | − | 0.0427562i | ||||
\(335\) | −22.2822 | + | 4.43220i | −1.21740 | + | 0.242157i | ||||
\(336\) | −0.564999 | −0.0308232 | ||||||||
\(337\) | 8.35991 | + | 5.58591i | 0.455393 | + | 0.304284i | 0.762029 | − | 0.647543i | \(-0.224203\pi\) |
−0.306636 | + | 0.951827i | \(0.599203\pi\) | |||||||
\(338\) | 4.74895 | + | 0.0549427i | 0.258309 | + | 0.00298849i | ||||
\(339\) | 20.1971i | 1.09695i | ||||||||
\(340\) | −20.4908 | − | 3.15462i | −1.11127 | − | 0.171083i | ||||
\(341\) | 10.1414 | 0.549186 | ||||||||
\(342\) | −0.544944 | − | 0.225723i | −0.0294672 | − | 0.0122057i | ||||
\(343\) | 0.931375 | − | 0.185262i | 0.0502895 | − | 0.0100032i | ||||
\(344\) | −11.2535 | −0.606749 | ||||||||
\(345\) | −6.34127 | − | 4.23710i | −0.341402 | − | 0.228118i | ||||
\(346\) | 5.84695 | + | 1.16303i | 0.314334 | + | 0.0625250i | ||||
\(347\) | −3.20354 | − | 0.637224i | −0.171975 | − | 0.0342080i | 0.108352 | − | 0.994113i | \(-0.465443\pi\) |
−0.280327 | + | 0.959905i | \(0.590443\pi\) | |||||||
\(348\) | −13.7680 | − | 33.2390i | −0.738045 | − | 1.78180i | ||||
\(349\) | −1.75698 | + | 4.24172i | −0.0940488 | + | 0.227054i | −0.963902 | − | 0.266256i | \(-0.914213\pi\) |
0.869853 | + | 0.493310i | \(0.164213\pi\) | |||||||
\(350\) | −0.0548776 | − | 0.0109158i | −0.00293333 | − | 0.000583476i | ||||
\(351\) | −6.04732 | + | 2.46400i | −0.322782 | + | 0.131518i | ||||
\(352\) | −3.69546 | − | 18.5783i | −0.196969 | − | 0.990229i | ||||
\(353\) | − | 8.45651i | − | 0.450095i | −0.974348 | − | 0.225047i | \(-0.927746\pi\) | ||
0.974348 | − | 0.225047i | \(-0.0722537\pi\) | |||||||
\(354\) | −2.19976 | + | 3.29217i | −0.116916 | + | 0.174977i | ||||
\(355\) | 0.486227 | − | 1.17386i | 0.0258062 | − | 0.0623018i | ||||
\(356\) | 16.9121 | + | 16.9121i | 0.896337 | + | 0.896337i | ||||
\(357\) | −0.680453 | − | 0.247693i | −0.0360134 | − | 0.0131093i | ||||
\(358\) | −2.56000 | − | 2.56000i | −0.135300 | − | 0.135300i | ||||
\(359\) | 26.5479 | − | 10.9965i | 1.40114 | − | 0.580373i | 0.451096 | − | 0.892475i | \(-0.351033\pi\) |
0.950049 | + | 0.312102i | \(0.101033\pi\) | |||||||
\(360\) | −11.7059 | − | 7.82161i | −0.616953 | − | 0.412235i | ||||
\(361\) | 13.3004 | − | 13.3004i | 0.700019 | − | 0.700019i | ||||
\(362\) | 2.26382 | + | 1.51264i | 0.118984 | + | 0.0795024i | ||||
\(363\) | 16.4244 | + | 24.5808i | 0.862057 | + | 1.29016i | ||||
\(364\) | −0.172305 | − | 0.422884i | −0.00903124 | − | 0.0221651i | ||||
\(365\) | 2.16899 | − | 0.898426i | 0.113530 | − | 0.0470258i | ||||
\(366\) | 8.60688 | + | 3.56509i | 0.449889 | + | 0.186350i | ||||
\(367\) | 0.0892660 | − | 0.448771i | 0.00465965 | − | 0.0234256i | −0.978386 | − | 0.206789i | \(-0.933699\pi\) |
0.983045 | + | 0.183364i | \(0.0586986\pi\) | |||||||
\(368\) | 2.92562 | − | 1.95484i | 0.152508 | − | 0.101903i | ||||
\(369\) | −7.62932 | − | 5.09775i | −0.397167 | − | 0.265378i | ||||
\(370\) | 1.41138i | 0.0733741i | ||||||||
\(371\) | 0.481726 | − | 0.0958213i | 0.0250100 | − | 0.00497479i | ||||
\(372\) | 3.95976 | + | 9.55970i | 0.205304 | + | 0.495647i | ||||
\(373\) | 28.4515i | 1.47316i | 0.676349 | + | 0.736581i | \(0.263561\pi\) | ||||
−0.676349 | + | 0.736581i | \(0.736439\pi\) | |||||||
\(374\) | 1.08528 | − | 7.04941i | 0.0561184 | − | 0.364516i | ||||
\(375\) | −13.5235 | − | 13.5235i | −0.698352 | − | 0.698352i | ||||
\(376\) | −14.0035 | − | 5.80042i | −0.722174 | − | 0.299134i | ||||
\(377\) | 19.0951 | − | 18.8755i | 0.983450 | − | 0.972138i | ||||
\(378\) | −0.0317452 | − | 0.0317452i | −0.00163279 | − | 0.00163279i | ||||
\(379\) | −7.32417 | + | 10.9614i | −0.376218 | + | 0.563049i | −0.970468 | − | 0.241231i | \(-0.922449\pi\) |
0.594250 | + | 0.804280i | \(0.297449\pi\) | |||||||
\(380\) | −1.82454 | + | 1.21912i | −0.0935970 | + | 0.0625395i | ||||
\(381\) | −1.25878 | + | 6.32830i | −0.0644891 | + | 0.324209i | ||||
\(382\) | 0.171737 | − | 0.414610i | 0.00878683 | − | 0.0212133i | ||||
\(383\) | −12.9800 | − | 5.37651i | −0.663249 | − | 0.274727i | 0.0255561 | − | 0.999673i | \(-0.491864\pi\) |
−0.688805 | + | 0.724947i | \(0.741864\pi\) | |||||||
\(384\) | 21.1286 | − | 14.1177i | 1.07821 | − | 0.720439i | ||||
\(385\) | −0.168857 | + | 0.848900i | −0.00860574 | + | 0.0432640i | ||||
\(386\) | 0.172406 | + | 0.866742i | 0.00877522 | + | 0.0441160i | ||||
\(387\) | 20.8418 | + | 20.8418i | 1.05945 | + | 1.05945i | ||||
\(388\) | 31.1031 | − | 6.18679i | 1.57902 | − | 0.314087i | ||||
\(389\) | −0.430495 | + | 1.03931i | −0.0218270 | + | 0.0526950i | −0.934417 | − | 0.356180i | \(-0.884079\pi\) |
0.912590 | + | 0.408875i | \(0.134079\pi\) | |||||||
\(390\) | 1.84393 | − | 8.99775i | 0.0933712 | − | 0.455619i | ||||
\(391\) | 4.38044 | − | 1.07171i | 0.221528 | − | 0.0541988i | ||||
\(392\) | −6.98719 | + | 6.98719i | −0.352906 | + | 0.352906i | ||||
\(393\) | −10.1475 | + | 24.4983i | −0.511875 | + | 1.23577i | ||||
\(394\) | 3.15766 | − | 4.72578i | 0.159081 | − | 0.238081i | ||||
\(395\) | 37.4642 | 1.88503 | ||||||||
\(396\) | −18.1666 | + | 27.1883i | −0.912908 | + | 1.36626i | ||||
\(397\) | −10.5643 | − | 2.10137i | −0.530206 | − | 0.105465i | −0.0772746 | − | 0.997010i | \(-0.524622\pi\) |
−0.452932 | + | 0.891545i | \(0.649622\pi\) | |||||||
\(398\) | −2.45750 | − | 3.67791i | −0.123183 | − | 0.184357i | ||||
\(399\) | −0.0708101 | + | 0.0293305i | −0.00354494 | + | 0.00146836i | ||||
\(400\) | −6.70876 | + | 2.77886i | −0.335438 | + | 0.138943i | ||||
\(401\) | −0.920209 | + | 0.614864i | −0.0459531 | + | 0.0307049i | −0.578335 | − | 0.815800i | \(-0.696297\pi\) |
0.532382 | + | 0.846505i | \(0.321297\pi\) | |||||||
\(402\) | 6.63064 | − | 4.43045i | 0.330706 | − | 0.220971i | ||||
\(403\) | −5.49185 | + | 5.42868i | −0.273569 | + | 0.270422i | ||||
\(404\) | 0.645555 | − | 0.645555i | 0.0321176 | − | 0.0321176i | ||||
\(405\) | −3.36951 | − | 16.9396i | −0.167432 | − | 0.841738i | ||||
\(406\) | 0.170542 | + | 0.0706410i | 0.00846388 | + | 0.00350585i | ||||
\(407\) | 6.79060 | 0.336598 | ||||||||
\(408\) | 14.6431 | − | 3.58257i | 0.724942 | − | 0.177363i | ||||
\(409\) | −14.4947 | + | 14.4947i | −0.716719 | + | 0.716719i | −0.967932 | − | 0.251213i | \(-0.919171\pi\) |
0.251213 | + | 0.967932i | \(0.419171\pi\) | |||||||
\(410\) | 2.25505 | − | 0.934071i | 0.111369 | − | 0.0461305i | ||||
\(411\) | −11.1334 | − | 55.9713i | −0.549169 | − | 2.76086i | ||||
\(412\) | 11.3867 | + | 11.3867i | 0.560982 | + | 0.560982i | ||||
\(413\) | 0.0554276 | + | 0.278654i | 0.00272742 | + | 0.0137116i | ||||
\(414\) | 1.44991 | + | 0.288405i | 0.0712592 | + | 0.0141743i | ||||
\(415\) | −5.48368 | + | 27.5683i | −0.269183 | + | 1.35328i | ||||
\(416\) | 11.9462 | + | 8.08254i | 0.585711 | + | 0.396279i | ||||
\(417\) | 8.82874 | + | 21.3145i | 0.432345 | + | 1.04377i | ||||
\(418\) | −0.419411 | − | 0.627694i | −0.0205141 | − | 0.0307015i | ||||
\(419\) | −12.0652 | − | 18.0568i | −0.589421 | − | 0.882131i | 0.410132 | − | 0.912026i | \(-0.365483\pi\) |
−0.999553 | + | 0.0298950i | \(0.990483\pi\) | |||||||
\(420\) | −0.866141 | + | 0.172286i | −0.0422634 | + | 0.00840670i | ||||
\(421\) | − | 9.48874i | − | 0.462453i | −0.972900 | − | 0.231226i | \(-0.925726\pi\) | ||
0.972900 | − | 0.231226i | \(-0.0742738\pi\) | |||||||
\(422\) | −1.34190 | − | 6.74620i | −0.0653228 | − | 0.328400i | ||||
\(423\) | 15.1923 | + | 36.6773i | 0.738672 | + | 1.78331i | ||||
\(424\) | −7.23021 | + | 7.23021i | −0.351130 | + | 0.351130i | ||||
\(425\) | −9.29788 | + | 0.405605i | −0.451013 | + | 0.0196747i | ||||
\(426\) | 0.445990i | 0.0216083i | ||||||||
\(427\) | 0.617591 | − | 0.255814i | 0.0298873 | − | 0.0123797i | ||||
\(428\) | −21.0682 | + | 31.5309i | −1.01837 | + | 1.52410i | ||||
\(429\) | −43.2911 | − | 8.87176i | −2.09011 | − | 0.428332i | ||||
\(430\) | −7.68998 | + | 1.52963i | −0.370844 | + | 0.0737654i | ||||
\(431\) | 1.12091 | − | 5.63519i | 0.0539923 | − | 0.271438i | −0.944354 | − | 0.328932i | \(-0.893311\pi\) |
0.998346 | + | 0.0574947i | \(0.0183112\pi\) | |||||||
\(432\) | −5.71442 | − | 1.13667i | −0.274935 | − | 0.0546880i | ||||
\(433\) | −6.86941 | − | 16.5842i | −0.330123 | − | 0.796986i | −0.998582 | − | 0.0532376i | \(-0.983046\pi\) |
0.668459 | − | 0.743749i | \(-0.266954\pi\) | |||||||
\(434\) | −0.0490488 | − | 0.0203167i | −0.00235442 | − | 0.000975232i | ||||
\(435\) | −28.8483 | − | 43.1745i | −1.38317 | − | 2.07006i | ||||
\(436\) | 1.81597 | − | 9.12948i | 0.0869690 | − | 0.437223i | ||||
\(437\) | 0.265181 | − | 0.396871i | 0.0126853 | − | 0.0189849i | ||||
\(438\) | −0.582711 | + | 0.582711i | −0.0278430 | + | 0.0278430i | ||||
\(439\) | −3.78281 | − | 2.52760i | −0.180544 | − | 0.120636i | 0.462014 | − | 0.886872i | \(-0.347127\pi\) |
−0.642558 | + | 0.766237i | \(0.722127\pi\) | |||||||
\(440\) | −6.89544 | − | 16.6471i | −0.328727 | − | 0.793617i | ||||
\(441\) | 25.8809 | 1.23242 | ||||||||
\(442\) | 3.18584 | + | 4.39842i | 0.151535 | + | 0.209211i | ||||
\(443\) | −14.6312 | −0.695151 | −0.347576 | − | 0.937652i | \(-0.612995\pi\) | ||||
−0.347576 | + | 0.937652i | \(0.612995\pi\) | |||||||
\(444\) | 2.65143 | + | 6.40111i | 0.125831 | + | 0.303783i | ||||
\(445\) | 28.7016 | + | 19.1778i | 1.36059 | + | 0.909116i | ||||
\(446\) | 3.36959 | − | 3.36959i | 0.159555 | − | 0.159555i | ||||
\(447\) | 20.2043 | − | 30.2379i | 0.955632 | − | 1.43020i | ||||
\(448\) | 0.0658241 | − | 0.330920i | 0.00310990 | − | 0.0156345i | ||||
\(449\) | −0.0881157 | − | 0.131875i | −0.00415844 | − | 0.00622354i | 0.829385 | − | 0.558678i | \(-0.188691\pi\) |
−0.833543 | + | 0.552455i | \(0.813691\pi\) | |||||||
\(450\) | −2.81863 | − | 1.16751i | −0.132871 | − | 0.0550372i | ||||
\(451\) | −4.49411 | − | 10.8498i | −0.211620 | − | 0.510895i | ||||
\(452\) | −14.2847 | − | 2.84140i | −0.671895 | − | 0.133648i | ||||
\(453\) | −7.66187 | + | 38.5188i | −0.359986 | + | 1.80977i | ||||
\(454\) | −9.12934 | + | 1.81594i | −0.428461 | + | 0.0852262i | ||||
\(455\) | −0.362976 | − | 0.550094i | −0.0170166 | − | 0.0257888i | ||||
\(456\) | 0.886458 | − | 1.32668i | 0.0415122 | − | 0.0621274i | ||||
\(457\) | −36.2485 | + | 15.0146i | −1.69563 | + | 0.702355i | −0.999873 | − | 0.0159188i | \(-0.994933\pi\) |
−0.695761 | + | 0.718274i | \(0.744933\pi\) | |||||||
\(458\) | − | 9.37011i | − | 0.437837i | ||||||
\(459\) | −6.38381 | − | 3.87412i | −0.297971 | − | 0.180828i | ||||
\(460\) | 3.88887 | − | 3.88887i | 0.181319 | − | 0.181319i | ||||
\(461\) | −2.07568 | − | 5.01113i | −0.0966739 | − | 0.233391i | 0.868143 | − | 0.496314i | \(-0.165314\pi\) |
−0.964817 | + | 0.262923i | \(0.915314\pi\) | |||||||
\(462\) | −0.0592713 | − | 0.297977i | −0.00275755 | − | 0.0138631i | ||||
\(463\) | 12.2367i | 0.568687i | 0.958723 | + | 0.284343i | \(0.0917756\pi\) | ||||
−0.958723 | + | 0.284343i | \(0.908224\pi\) | |||||||
\(464\) | 23.4962 | − | 4.67368i | 1.09078 | − | 0.216970i | ||||
\(465\) | 8.29691 | + | 12.4172i | 0.384760 | + | 0.575834i | ||||
\(466\) | 1.52278 | + | 2.27901i | 0.0705416 | + | 0.105573i | ||||
\(467\) | −5.11526 | − | 12.3493i | −0.236706 | − | 0.571459i | 0.760232 | − | 0.649651i | \(-0.225085\pi\) |
−0.996938 | + | 0.0781924i | \(0.975085\pi\) | |||||||
\(468\) | −4.71614 | − | 24.4479i | −0.218004 | − | 1.13010i | ||||
\(469\) | 0.111635 | − | 0.561226i | 0.00515482 | − | 0.0259150i | ||||
\(470\) | −10.3575 | − | 2.06024i | −0.477758 | − | 0.0950320i | ||||
\(471\) | 9.46080 | + | 47.5627i | 0.435931 | + | 2.19157i | ||||
\(472\) | −4.18230 | − | 4.18230i | −0.192506 | − | 0.192506i | ||||
\(473\) | 7.35955 | + | 36.9990i | 0.338393 | + | 1.70121i | ||||
\(474\) | −12.1495 | + | 5.03248i | −0.558045 | + | 0.231150i | ||||
\(475\) | −0.696536 | + | 0.696536i | −0.0319593 | + | 0.0319593i | ||||
\(476\) | 0.270914 | − | 0.446414i | 0.0124173 | − | 0.0204614i | ||||
\(477\) | 26.7811 | 1.22622 | ||||||||
\(478\) | 4.75245 | + | 1.96853i | 0.217372 | + | 0.0900384i | ||||
\(479\) | 0.927465 | + | 4.66268i | 0.0423770 | + | 0.213043i | 0.996172 | − | 0.0874146i | \(-0.0278605\pi\) |
−0.953795 | + | 0.300458i | \(0.902860\pi\) | |||||||
\(480\) | 19.7242 | − | 19.7242i | 0.900281 | − | 0.900281i | ||||
\(481\) | −3.67731 | + | 3.63501i | −0.167671 | + | 0.165742i | ||||
\(482\) | 7.70904 | − | 5.15102i | 0.351137 | − | 0.234622i | ||||
\(483\) | 0.159719 | − | 0.106721i | 0.00726747 | − | 0.00485597i | ||||
\(484\) | −19.6958 | + | 8.15828i | −0.895265 | + | 0.370831i | ||||
\(485\) | 42.2857 | − | 17.5153i | 1.92010 | − | 0.795330i | ||||
\(486\) | 4.47096 | + | 6.69126i | 0.202807 | + | 0.303522i | ||||
\(487\) | 9.55778 | + | 1.90116i | 0.433104 | + | 0.0861498i | 0.406828 | − | 0.913505i | \(-0.366635\pi\) |
0.0262766 | + | 0.999655i | \(0.491635\pi\) | |||||||
\(488\) | −7.73150 | + | 11.5710i | −0.349988 | + | 0.523795i | ||||
\(489\) | 49.0500 | 2.21812 | ||||||||
\(490\) | −3.82489 | + | 5.72436i | −0.172791 | + | 0.258600i | ||||
\(491\) | −1.70216 | + | 4.10937i | −0.0768172 | + | 0.185453i | −0.957623 | − | 0.288025i | \(-0.907002\pi\) |
0.880806 | + | 0.473478i | \(0.157002\pi\) | |||||||
\(492\) | 8.47269 | − | 8.47269i | 0.381978 | − | 0.381978i | ||||
\(493\) | 30.3463 | + | 4.67191i | 1.36673 | + | 0.210412i | ||||
\(494\) | 0.563128 | + | 0.115403i | 0.0253363 | + | 0.00519225i | ||||
\(495\) | −18.0603 | + | 43.6013i | −0.811748 | + | 1.95973i | ||||
\(496\) | −6.75761 | + | 1.34417i | −0.303426 | + | 0.0603551i | ||||
\(497\) | 0.0226290 | + | 0.0226290i | 0.00101505 | + | 0.00101505i | ||||
\(498\) | −1.92486 | − | 9.67691i | −0.0862549 | − | 0.433633i | ||||
\(499\) | −0.638847 | + | 3.21170i | −0.0285987 | + | 0.143775i | −0.992447 | − | 0.122678i | \(-0.960852\pi\) |
0.963848 | + | 0.266453i | \(0.0858518\pi\) | |||||||
\(500\) | 11.4673 | − | 7.66218i | 0.512832 | − | 0.342663i | ||||
\(501\) | −6.15157 | − | 2.54806i | −0.274832 | − | 0.113839i | ||||
\(502\) | 2.13180 | − | 5.14662i | 0.0951470 | − | 0.229705i | ||||
\(503\) | −2.55864 | + | 12.8632i | −0.114084 | + | 0.573540i | 0.880883 | + | 0.473335i | \(0.156950\pi\) |
−0.994967 | + | 0.100205i | \(0.968050\pi\) | |||||||
\(504\) | 0.294839 | − | 0.197005i | 0.0131332 | − | 0.00877529i | ||||
\(505\) | 0.732042 | − | 1.09558i | 0.0325754 | − | 0.0487526i | ||||
\(506\) | 1.33788 | + | 1.33788i | 0.0594760 | + | 0.0594760i | ||||
\(507\) | 28.1925 | − | 18.3694i | 1.25207 | − | 0.815815i | ||||
\(508\) | −4.29870 | − | 1.78058i | −0.190724 | − | 0.0790004i | ||||
\(509\) | −10.2810 | − | 10.2810i | −0.455699 | − | 0.455699i | 0.441542 | − | 0.897241i | \(-0.354432\pi\) |
−0.897241 | + | 0.441542i | \(0.854432\pi\) | |||||||
\(510\) | 9.51927 | − | 4.43847i | 0.421520 | − | 0.196539i | ||||
\(511\) | 0.0591321i | 0.00261585i | ||||||||
\(512\) | 8.40287 | + | 20.2863i | 0.371358 | + | 0.896537i | ||||
\(513\) | −0.775182 | + | 0.154193i | −0.0342251 | + | 0.00680780i | ||||
\(514\) | − | 0.148901i | − | 0.00656776i | ||||||
\(515\) | 19.3245 | + | 12.9122i | 0.851537 | + | 0.568979i | ||||
\(516\) | −32.0032 | + | 21.3839i | −1.40886 | + | 0.941373i | ||||
\(517\) | −9.91250 | + | 49.8335i | −0.435951 | + | 2.19167i | ||||
\(518\) | −0.0328428 | − | 0.0136039i | −0.00144303 | − | 0.000597722i | ||||
\(519\) | 39.0226 | − | 16.1637i | 1.71290 | − | 0.709507i | ||||
\(520\) | 12.6453 | + | 5.32374i | 0.554531 | + | 0.233462i | ||||
\(521\) | −15.5899 | − | 23.3319i | −0.683006 | − | 1.02219i | −0.997341 | − | 0.0728784i | \(-0.976782\pi\) |
0.314335 | − | 0.949312i | \(-0.398218\pi\) | |||||||
\(522\) | 8.36884 | + | 5.59188i | 0.366294 | + | 0.244750i | ||||
\(523\) | 19.7868 | − | 19.7868i | 0.865216 | − | 0.865216i | −0.126722 | − | 0.991938i | \(-0.540446\pi\) |
0.991938 | + | 0.126722i | \(0.0404456\pi\) | |||||||
\(524\) | −15.8992 | − | 10.6235i | −0.694559 | − | 0.464090i | ||||
\(525\) | −0.366253 | + | 0.151707i | −0.0159846 | + | 0.00662103i | ||||
\(526\) | 1.06982 | + | 1.06982i | 0.0466464 | + | 0.0466464i | ||||
\(527\) | −8.72775 | − | 1.34366i | −0.380187 | − | 0.0585310i | ||||
\(528\) | −27.8804 | − | 27.8804i | −1.21334 | − | 1.21334i | ||||
\(529\) | 8.34392 | − | 20.1440i | 0.362779 | − | 0.875826i | ||||
\(530\) | −3.95792 | + | 5.92345i | −0.171921 | + | 0.257298i | ||||
\(531\) | 15.4915i | 0.672272i | ||||||||
\(532\) | −0.0107826 | − | 0.0542078i | −0.000467485 | − | 0.00235021i | ||||
\(533\) | 8.24158 | + | 3.46976i | 0.356982 | + | 0.150292i | ||||
\(534\) | −11.8839 | − | 2.36386i | −0.514268 | − | 0.102294i | ||||
\(535\) | −20.9449 | + | 50.5654i | −0.905526 | + | 2.18613i | ||||
\(536\) | 4.55872 | + | 11.0057i | 0.196907 | + | 0.475375i | ||||
\(537\) | −25.1579 | − | 5.00421i | −1.08564 | − | 0.215948i | ||||
\(538\) | −0.866038 | − | 0.172266i | −0.0373376 | − | 0.00742690i | ||||
\(539\) | 27.5417 | + | 18.4028i | 1.18631 | + | 0.792664i | ||||
\(540\) | −9.10678 | −0.391894 | ||||||||
\(541\) | −21.7036 | + | 4.31712i | −0.933112 | + | 0.185607i | −0.638159 | − | 0.769904i | \(-0.720304\pi\) |
−0.294953 | + | 0.955512i | \(0.595304\pi\) | |||||||
\(542\) | 6.34539 | + | 2.62834i | 0.272558 | + | 0.112897i | ||||
\(543\) | 19.2904 | 0.827829 | ||||||||
\(544\) | 0.718839 | + | 16.4783i | 0.0308200 | + | 0.706502i | ||||
\(545\) | − | 13.4345i | − | 0.575469i | ||||||
\(546\) | 0.191604 | + | 0.129635i | 0.00819991 | + | 0.00554788i | ||||
\(547\) | −3.31135 | − | 2.21258i | −0.141583 | − | 0.0946029i | 0.482761 | − | 0.875752i | \(-0.339634\pi\) |
−0.624345 | + | 0.781149i | \(0.714634\pi\) | |||||||
\(548\) | 41.1528 | 1.75796 | ||||||||
\(549\) | 35.7488 | − | 7.11087i | 1.52572 | − | 0.303484i | ||||
\(550\) | −2.16933 | − | 3.24664i | −0.0925007 | − | 0.138437i | ||||
\(551\) | 2.70210 | − | 1.80548i | 0.115113 | − | 0.0769162i | ||||
\(552\) | −1.53035 | + | 3.69458i | −0.0651358 | + | 0.157252i | ||||
\(553\) | −0.361108 | + | 0.871792i | −0.0153559 | + | 0.0370724i | ||||
\(554\) | 3.19645 | − | 2.13580i | 0.135804 | − | 0.0907413i | ||||
\(555\) | 5.55556 | + | 8.31448i | 0.235820 | + | 0.352930i | ||||
\(556\) | −16.3170 | + | 3.24566i | −0.691997 | + | 0.137647i | ||||
\(557\) | −3.36383 | −0.142530 | −0.0712651 | − | 0.997457i | \(-0.522704\pi\) | ||||
−0.0712651 | + | 0.997457i | \(0.522704\pi\) | |||||||
\(558\) | −2.40692 | − | 1.60825i | −0.101893 | − | 0.0680827i | ||||
\(559\) | −23.7910 | − | 16.0965i | −1.00625 | − | 0.680808i | ||||
\(560\) | − | 0.588038i | − | 0.0248491i | ||||||
\(561\) | −21.3549 | − | 45.8002i | −0.901605 | − | 1.93369i | ||||
\(562\) | 3.91248 | 0.165038 | ||||||||
\(563\) | 23.9576 | + | 9.92358i | 1.00969 | + | 0.418229i | 0.825343 | − | 0.564632i | \(-0.190982\pi\) |
0.184351 | + | 0.982861i | \(0.440982\pi\) | |||||||
\(564\) | −50.8456 | + | 10.1138i | −2.14099 | + | 0.425868i | ||||
\(565\) | −21.0206 | −0.884344 | ||||||||
\(566\) | 7.57780 | + | 5.06332i | 0.318519 | + | 0.212827i | ||||
\(567\) | 0.426663 | + | 0.0848686i | 0.0179182 | + | 0.00356414i | ||||
\(568\) | −0.653421 | − | 0.129974i | −0.0274169 | − | 0.00545357i | ||||
\(569\) | −12.1507 | − | 29.3344i | −0.509384 | − | 1.22976i | −0.944239 | − | 0.329261i | \(-0.893201\pi\) |
0.434855 | − | 0.900500i | \(-0.356799\pi\) | |||||||
\(570\) | 0.425424 | − | 1.02706i | 0.0178190 | − | 0.0430190i | ||||
\(571\) | 38.6979 | + | 7.69749i | 1.61946 | + | 0.322130i | 0.919812 | − | 0.392360i | \(-0.128341\pi\) |
0.699646 | + | 0.714490i | \(0.253341\pi\) | |||||||
\(572\) | 12.3650 | − | 29.3702i | 0.517008 | − | 1.22803i | ||||
\(573\) | −0.620305 | − | 3.11848i | −0.0259136 | − | 0.130276i | ||||
\(574\) | 0.0614782i | 0.00256605i | ||||||||
\(575\) | 1.37160 | − | 2.05275i | 0.0571998 | − | 0.0856055i | ||||
\(576\) | 7.04029 | − | 16.9968i | 0.293345 | − | 0.708198i | ||||
\(577\) | 21.6153 | + | 21.6153i | 0.899855 | + | 0.899855i | 0.995423 | − | 0.0955679i | \(-0.0304667\pi\) |
−0.0955679 | + | 0.995423i | \(0.530467\pi\) | |||||||
\(578\) | −1.86800 | + | 5.92299i | −0.0776986 | + | 0.246364i | ||||
\(579\) | 4.42737 | + | 4.42737i | 0.183995 | + | 0.183995i | ||||
\(580\) | 34.5943 | − | 14.3294i | 1.43645 | − | 0.594998i | ||||
\(581\) | −0.588659 | − | 0.393329i | −0.0244217 | − | 0.0163181i | ||||
\(582\) | −11.3603 | + | 11.3603i | −0.470899 | + | 0.470899i | ||||
\(583\) | 28.4996 | + | 19.0428i | 1.18033 | + | 0.788674i | ||||
\(584\) | −0.683914 | − | 1.02355i | −0.0283006 | − | 0.0423548i | ||||
\(585\) | −13.5597 | − | 33.2791i | −0.560623 | − | 1.37592i | ||||
\(586\) | −4.55611 | + | 1.88720i | −0.188211 | + | 0.0779596i | ||||
\(587\) | −14.0421 | − | 5.81645i | −0.579581 | − | 0.240070i | 0.0735799 | − | 0.997289i | \(-0.476558\pi\) |
−0.653161 | + | 0.757219i | \(0.726558\pi\) | |||||||
\(588\) | −6.59344 | + | 33.1475i | −0.271909 | + | 1.36698i | ||||
\(589\) | −0.777136 | + | 0.519266i | −0.0320213 | + | 0.0213960i | ||||
\(590\) | −3.42641 | − | 2.28945i | −0.141063 | − | 0.0942553i | ||||
\(591\) | − | 40.2691i | − | 1.65645i | ||||||
\(592\) | −4.52485 | + | 0.900049i | −0.185970 | + | 0.0369918i | ||||
\(593\) | −11.3226 | − | 27.3351i | −0.464963 | − | 1.12252i | −0.966335 | − | 0.257287i | \(-0.917171\pi\) |
0.501372 | − | 0.865232i | \(-0.332829\pi\) | |||||||
\(594\) | − | 3.13299i | − | 0.128548i | ||||||
\(595\) | 0.257793 | − | 0.708198i | 0.0105685 | − | 0.0290333i | ||||
\(596\) | 18.5438 | + | 18.5438i | 0.759584 | + | 0.759584i | ||||
\(597\) | −28.9544 | − | 11.9933i | −1.18503 | − | 0.490854i | ||||
\(598\) | −1.44067 | − | 0.00833359i | −0.0589134 | − | 0.000340786i | ||||
\(599\) | 28.5010 | + | 28.5010i | 1.16452 | + | 1.16452i | 0.983475 | + | 0.181046i | \(0.0579483\pi\) |
0.181046 | + | 0.983475i | \(0.442052\pi\) | |||||||
\(600\) | 4.58505 | − | 6.86201i | 0.187184 | − | 0.280141i | ||||
\(601\) | 9.01675 | − | 6.02480i | 0.367801 | − | 0.245757i | −0.357911 | − | 0.933756i | \(-0.616511\pi\) |
0.725711 | + | 0.687999i | \(0.241511\pi\) | |||||||
\(602\) | 0.0385272 | − | 0.193690i | 0.00157025 | − | 0.00789420i | ||||
\(603\) | 11.9400 | − | 28.8258i | 0.486235 | − | 1.17388i | ||||
\(604\) | −26.1651 | − | 10.8379i | −1.06464 | − | 0.440990i | ||||
\(605\) | −25.5831 | + | 17.0941i | −1.04010 | + | 0.694974i | ||||
\(606\) | −0.0902316 | + | 0.453625i | −0.00366541 | + | 0.0184273i | ||||
\(607\) | 2.14078 | + | 10.7624i | 0.0868916 | + | 0.436834i | 0.999602 | + | 0.0282256i | \(0.00898568\pi\) |
−0.912710 | + | 0.408608i | \(0.866014\pi\) | |||||||
\(608\) | 1.23445 | + | 1.23445i | 0.0500634 | + | 0.0500634i | ||||
\(609\) | 1.28273 | − | 0.255151i | 0.0519789 | − | 0.0103393i | ||||
\(610\) | −3.71046 | + | 8.95783i | −0.150232 | + | 0.362692i | ||||
\(611\) | −21.3080 | − | 32.2925i | −0.862029 | − | 1.30641i | ||||
\(612\) | 19.2366 | − | 20.9915i | 0.777595 | − | 0.848532i | ||||
\(613\) | 22.2688 | − | 22.2688i | 0.899426 | − | 0.899426i | −0.0959589 | − | 0.995385i | \(-0.530592\pi\) |
0.995385 | + | 0.0959589i | \(0.0305917\pi\) | |||||||
\(614\) | −1.78422 | + | 4.30749i | −0.0720054 | + | 0.173836i | ||||
\(615\) | 9.60780 | − | 14.3791i | 0.387424 | − | 0.579821i | ||||
\(616\) | 0.453840 | 0.0182857 | ||||||||
\(617\) | 9.51884 | − | 14.2459i | 0.383214 | − | 0.573520i | −0.588848 | − | 0.808244i | \(-0.700418\pi\) |
0.972062 | + | 0.234723i | \(0.0754184\pi\) | |||||||
\(618\) | −8.00131 | − | 1.59156i | −0.321860 | − | 0.0640219i | ||||
\(619\) | −16.4125 | − | 24.5630i | −0.659673 | − | 0.987271i | −0.998915 | − | 0.0465715i | \(-0.985170\pi\) |
0.339242 | − | 0.940699i | \(-0.389830\pi\) | |||||||
\(620\) | −9.94950 | + | 4.12122i | −0.399581 | + | 0.165512i | ||||
\(621\) | 1.83011 | − | 0.758055i | 0.0734396 | − | 0.0304197i | ||||
\(622\) | −10.3941 | + | 6.94513i | −0.416766 | + | 0.278474i | ||||
\(623\) | −0.722915 | + | 0.483036i | −0.0289630 | + | 0.0193524i | ||||
\(624\) | 30.0225 | + | 0.173666i | 1.20186 | + | 0.00695220i | ||||
\(625\) | 22.0554 | − | 22.0554i | 0.882216 | − | 0.882216i | ||||
\(626\) | −1.71952 | − | 8.64459i | −0.0687257 | − | 0.345507i | ||||
\(627\) | −4.94153 | − | 2.04685i | −0.197346 | − | 0.0817433i | ||||
\(628\) | −34.9704 | −1.39547 | ||||||||
\(629\) | −5.84405 | − | 0.899709i | −0.233017 | − | 0.0358738i | ||||
\(630\) | 0.174697 | − | 0.174697i | 0.00696010 | − | 0.00696010i | ||||
\(631\) | −30.6437 | + | 12.6930i | −1.21991 | + | 0.505301i | −0.897380 | − | 0.441259i | \(-0.854532\pi\) |
−0.322526 | + | 0.946561i | \(0.604532\pi\) | |||||||
\(632\) | −3.83241 | − | 19.2669i | −0.152445 | − | 0.766394i | ||||
\(633\) | −34.4600 | − | 34.4600i | −1.36966 | − | 1.36966i | ||||
\(634\) | 0.389569 | + | 1.95850i | 0.0154718 | + | 0.0777819i | ||||
\(635\) | −6.58634 | − | 1.31010i | −0.261371 | − | 0.0519899i | ||||
\(636\) | −6.82277 | + | 34.3004i | −0.270540 | + | 1.36010i | ||||
\(637\) | −24.7657 | + | 4.77744i | −0.981252 | + | 0.189289i | ||||
\(638\) | 4.92973 | + | 11.9014i | 0.195170 | + | 0.471182i | ||||
\(639\) | 0.969439 | + | 1.45087i | 0.0383504 | + | 0.0573955i | ||||
\(640\) | 14.6933 | + | 21.9901i | 0.580804 | + | 0.869235i | ||||
\(641\) | −32.7950 | + | 6.52334i | −1.29533 | + | 0.257656i | −0.794167 | − | 0.607699i | \(-0.792093\pi\) |
−0.501158 | + | 0.865356i | \(0.667093\pi\) | |||||||
\(642\) | − | 19.2116i | − | 0.758222i | ||||||
\(643\) | −2.97681 | − | 14.9654i | −0.117394 | − | 0.590178i | −0.994038 | − | 0.109038i | \(-0.965223\pi\) |
0.876644 | − | 0.481140i | \(-0.159777\pi\) | |||||||
\(644\) | 0.0530101 | + | 0.127978i | 0.00208889 | + | 0.00504303i | ||||
\(645\) | −39.2809 | + | 39.2809i | −1.54668 | + | 1.54668i | ||||
\(646\) | 0.277784 | + | 0.595768i | 0.0109293 | + | 0.0234402i | ||||
\(647\) | 32.6029i | 1.28175i | 0.767645 | + | 0.640875i | \(0.221428\pi\) | ||||
−0.767645 | + | 0.640875i | \(0.778572\pi\) | |||||||
\(648\) | −8.36692 | + | 3.46569i | −0.328684 | + | 0.136145i | ||||
\(649\) | −11.0153 | + | 16.4856i | −0.432388 | + | 0.647115i | ||||
\(650\) | 2.91269 | + | 0.596905i | 0.114245 | + | 0.0234125i | ||||
\(651\) | −0.368920 | + | 0.0733827i | −0.0144591 | + | 0.00287610i | ||||
\(652\) | −6.90053 | + | 34.6913i | −0.270246 | + | 1.35862i | ||||
\(653\) | 9.31468 | + | 1.85281i | 0.364512 | + | 0.0725059i | 0.373948 | − | 0.927450i | \(-0.378004\pi\) |
−0.00943651 | + | 0.999955i | \(0.503004\pi\) | |||||||
\(654\) | 1.80462 | + | 4.35674i | 0.0705663 | + | 0.170362i | ||||
\(655\) | −25.4972 | − | 10.5613i | −0.996258 | − | 0.412664i | ||||
\(656\) | 4.43267 | + | 6.63397i | 0.173067 | + | 0.259013i | ||||
\(657\) | −0.629014 | + | 3.16227i | −0.0245402 | + | 0.123372i | ||||
\(658\) | 0.147776 | − | 0.221162i | 0.00576089 | − | 0.00862179i | ||||
\(659\) | −27.7231 | + | 27.7231i | −1.07994 | + | 1.07994i | −0.0834225 | + | 0.996514i | \(0.526585\pi\) |
−0.996514 | + | 0.0834225i | \(0.973415\pi\) | |||||||
\(660\) | −51.2422 | − | 34.2389i | −1.99460 | − | 1.33275i | ||||
\(661\) | −18.0671 | − | 43.6177i | −0.702727 | − | 1.69653i | −0.717419 | − | 0.696642i | \(-0.754677\pi\) |
0.0146919 | − | 0.999892i | \(-0.495323\pi\) | |||||||
\(662\) | 0.589566 | 0.0229141 | ||||||||
\(663\) | 36.0812 | + | 13.3709i | 1.40128 | + | 0.519282i | ||||
\(664\) | 14.7386 | 0.571969 | ||||||||
\(665\) | −0.0305265 | − | 0.0736974i | −0.00118377 | − | 0.00285786i | ||||
\(666\) | −1.61166 | − | 1.07687i | −0.0624504 | − | 0.0417281i | ||||
\(667\) | −5.75931 | + | 5.75931i | −0.223001 | + | 0.223001i | ||||
\(668\) | 2.66758 | − | 3.99232i | 0.103212 | − | 0.154468i | ||||
\(669\) | 6.58677 | − | 33.1139i | 0.254659 | − | 1.28026i | ||||
\(670\) | 4.61111 | + | 6.90101i | 0.178143 | + | 0.266609i | ||||
\(671\) | 43.0990 | + | 17.8522i | 1.66382 | + | 0.689176i | ||||
\(672\) | 0.268865 | + | 0.649097i | 0.0103717 | + | 0.0250395i | ||||
\(673\) | −22.9441 | − | 4.56386i | −0.884429 | − | 0.175924i | −0.268080 | − | 0.963397i | \(-0.586389\pi\) |
−0.616349 | + | 0.787473i | \(0.711389\pi\) | |||||||
\(674\) | 0.716595 | − | 3.60257i | 0.0276022 | − | 0.138766i | ||||
\(675\) | −4.00950 | + | 0.797539i | −0.154326 | + | 0.0306973i | ||||
\(676\) | 9.02583 | + | 22.5238i | 0.347147 | + | 0.866301i | ||||
\(677\) | −11.0937 | + | 16.6030i | −0.426367 | + | 0.638103i | −0.981004 | − | 0.193989i | \(-0.937857\pi\) |
0.554637 | + | 0.832093i | \(0.312857\pi\) | |||||||
\(678\) | 6.81690 | − | 2.82365i | 0.261801 | − | 0.108442i | ||||
\(679\) | 1.15281i | 0.0442409i | ||||||||
\(680\) | 3.72865 | + | 15.2402i | 0.142987 | + | 0.584435i | ||||
\(681\) | −46.6332 | + | 46.6332i | −1.78699 | + | 1.78699i | ||||
\(682\) | −1.41781 | − | 3.42291i | −0.0542909 | − | 0.131070i | ||||
\(683\) | −1.65300 | − | 8.31020i | −0.0632503 | − | 0.317981i | 0.936188 | − | 0.351500i | \(-0.114328\pi\) |
−0.999438 | + | 0.0335195i | \(0.989328\pi\) | |||||||
\(684\) | − | 3.01363i | − | 0.115229i | ||||||
\(685\) | 58.2535 | − | 11.5873i | 2.22575 | − | 0.442730i | ||||
\(686\) | −0.192740 | − | 0.288456i | −0.00735886 | − | 0.0110133i | ||||
\(687\) | −36.8832 | − | 55.1996i | −1.40718 | − | 2.10600i | ||||
\(688\) | −9.80794 | − | 23.6785i | −0.373924 | − | 0.902733i | ||||
\(689\) | −25.6270 | + | 4.94361i | −0.976312 | + | 0.188336i | ||||
\(690\) | −0.543561 | + | 2.73267i | −0.0206930 | + | 0.104031i | ||||
\(691\) | 4.51758 | + | 0.898602i | 0.171857 | + | 0.0341844i | 0.280269 | − | 0.959922i | \(-0.409576\pi\) |
−0.108412 | + | 0.994106i | \(0.534576\pi\) | |||||||
\(692\) | 5.94216 | + | 29.8733i | 0.225887 | + | 1.13561i | ||||
\(693\) | −0.840524 | − | 0.840524i | −0.0319289 | − | 0.0319289i | ||||
\(694\) | 0.232796 | + | 1.17034i | 0.00883680 | + | 0.0444256i | ||||
\(695\) | −22.1836 | + | 9.18874i | −0.841471 | + | 0.348549i | ||||
\(696\) | −19.2525 | + | 19.2525i | −0.729763 | + | 0.729763i | ||||
\(697\) | 2.43015 | + | 9.93283i | 0.0920486 | + | 0.376233i | ||||
\(698\) | 1.67729 | 0.0634865 | ||||||||
\(699\) | 17.9415 | + | 7.43163i | 0.678611 | + | 0.281090i | ||||
\(700\) | −0.0557712 | − | 0.280381i | −0.00210795 | − | 0.0105974i | ||||
\(701\) | −0.945620 | + | 0.945620i | −0.0357156 | + | 0.0357156i | −0.724739 | − | 0.689023i | \(-0.758040\pi\) |
0.689023 | + | 0.724739i | \(0.258040\pi\) | |||||||
\(702\) | 1.67709 | + | 1.69661i | 0.0632977 | + | 0.0640343i | ||||
\(703\) | −0.520366 | + | 0.347697i | −0.0196260 | + | 0.0131136i | ||||
\(704\) | 19.5777 | − | 13.0814i | 0.737863 | − | 0.493024i | ||||
\(705\) | −69.1263 | + | 28.6331i | −2.60345 | + | 1.07838i | ||||
\(706\) | −2.85423 | + | 1.18226i | −0.107420 | + | 0.0444950i | ||||
\(707\) | 0.0184381 | + | 0.0275946i | 0.000693437 | + | 0.00103780i | ||||
\(708\) | −19.8410 | − | 3.94662i | −0.745670 | − | 0.148323i | ||||
\(709\) | 9.18138 | − | 13.7409i | 0.344814 | − | 0.516051i | −0.618014 | − | 0.786167i | \(-0.712062\pi\) |
0.962828 | + | 0.270117i | \(0.0870623\pi\) | |||||||
\(710\) | −0.464175 | −0.0174202 | ||||||||
\(711\) | −28.5850 | + | 42.7805i | −1.07202 | + | 1.60439i | ||||
\(712\) | 6.92660 | − | 16.7223i | 0.259585 | − | 0.626694i | ||||
\(713\) | 1.65641 | − | 1.65641i | 0.0620329 | − | 0.0620329i | ||||
\(714\) | 0.0115294 | + | 0.264295i | 0.000431478 | + | 0.00989097i | ||||
\(715\) | 9.23351 | − | 45.0563i | 0.345314 | − | 1.68501i | ||||
\(716\) | 7.07861 | − | 17.0893i | 0.264540 | − | 0.638656i | ||||
\(717\) | 35.7455 | − | 7.11022i | 1.33494 | − | 0.265536i | ||||
\(718\) | −7.42306 | − | 7.42306i | −0.277026 | − | 0.277026i | ||||
\(719\) | 3.97079 | + | 19.9625i | 0.148085 | + | 0.744475i | 0.981445 | + | 0.191744i | \(0.0614144\pi\) |
−0.833360 | + | 0.552731i | \(0.813586\pi\) | |||||||
\(720\) | 6.25522 | − | 31.4471i | 0.233118 | − | 1.17196i | ||||
\(721\) | −0.486730 | + | 0.325223i | −0.0181268 | + | 0.0121119i | ||||
\(722\) | −6.34858 | − | 2.62967i | −0.236270 | − | 0.0978662i | ||||
\(723\) | 25.1385 | − | 60.6896i | 0.934909 | − | 2.25707i | ||||
\(724\) | −2.71384 | + | 13.6434i | −0.100859 | + | 0.507053i | ||||
\(725\) | 13.9761 | − | 9.33856i | 0.519061 | − | 0.346825i | ||||
\(726\) | 6.00029 | − | 8.98007i | 0.222692 | − | 0.333282i | ||||
\(727\) | 11.0274 | + | 11.0274i | 0.408985 | + | 0.408985i | 0.881385 | − | 0.472400i | \(-0.156612\pi\) |
−0.472400 | + | 0.881385i | \(0.656612\pi\) | |||||||
\(728\) | −0.245768 | + | 0.242941i | −0.00910876 | + | 0.00900399i | ||||
\(729\) | 34.9073 | + | 14.4591i | 1.29286 | + | 0.535521i | ||||
\(730\) | −0.606472 | − | 0.606472i | −0.0224465 | − | 0.0224465i | ||||
\(731\) | −1.43158 | − | 32.8167i | −0.0529488 | − | 1.21377i | ||||
\(732\) | 47.5975i | 1.75925i | ||||||||
\(733\) | 11.4063 | + | 27.5372i | 0.421300 | + | 1.01711i | 0.981965 | + | 0.189065i | \(0.0605458\pi\) |
−0.560664 | + | 0.828043i | \(0.689454\pi\) | |||||||
\(734\) | −0.163948 | + | 0.0326114i | −0.00605145 | + | 0.00120371i | ||||
\(735\) | 48.7781i | 1.79921i | ||||||||
\(736\) | −3.63801 | − | 2.43084i | −0.134099 | − | 0.0896021i | ||||
\(737\) | 33.2030 | − | 22.1855i | 1.22305 | − | 0.817214i | ||||
\(738\) | −0.653971 | + | 3.28773i | −0.0240730 | + | 0.121023i | ||||
\(739\) | 32.8991 | + | 13.6273i | 1.21021 | + | 0.501287i | 0.894286 | − | 0.447496i | \(-0.147684\pi\) |
0.315928 | + | 0.948783i | \(0.397684\pi\) | |||||||
\(740\) | −6.66212 | + | 2.75954i | −0.244904 | + | 0.101443i | ||||
\(741\) | 3.77167 | − | 1.53678i | 0.138556 | − | 0.0564549i | ||||
\(742\) | −0.0996892 | − | 0.149195i | −0.00365971 | − | 0.00547714i | ||||
\(743\) | 32.2926 | + | 21.5772i | 1.18470 | + | 0.791592i | 0.982227 | − | 0.187695i | \(-0.0601017\pi\) |
0.202474 | + | 0.979288i | \(0.435102\pi\) | |||||||
\(744\) | 5.53710 | − | 5.53710i | 0.203000 | − | 0.203000i | ||||
\(745\) | 31.4709 | + | 21.0282i | 1.15300 | + | 0.770412i | ||||
\(746\) | 9.60292 | − | 3.97766i | 0.351588 | − | 0.145632i | ||||
\(747\) | −27.2963 | − | 27.2963i | −0.998720 | − | 0.998720i | ||||
\(748\) | 35.3972 | − | 8.66024i | 1.29425 | − | 0.316650i | ||||
\(749\) | −0.974774 | − | 0.974774i | −0.0356175 | − | 0.0356175i | ||||
\(750\) | −2.67379 | + | 6.45511i | −0.0976331 | + | 0.235707i | ||||
\(751\) | 13.3544 | − | 19.9863i | 0.487309 | − | 0.729310i | −0.503586 | − | 0.863945i | \(-0.667986\pi\) |
0.990895 | + | 0.134635i | \(0.0429863\pi\) | |||||||
\(752\) | − | 34.5199i | − | 1.25881i | ||||||
\(753\) | −7.69995 | − | 38.7102i | −0.280602 | − | 1.41068i | ||||
\(754\) | −9.04044 | − | 3.80609i | −0.329233 | − | 0.138609i | ||||
\(755\) | −40.0894 | − | 7.97428i | −1.45900 | − | 0.290214i | ||||
\(756\) | 0.0877779 | − | 0.211915i | 0.00319245 | − | 0.00770726i | ||||
\(757\) | −4.05572 | − | 9.79138i | −0.147408 | − | 0.355874i | 0.832879 | − | 0.553456i | \(-0.186691\pi\) |
−0.980286 | + | 0.197582i | \(0.936691\pi\) | |||||||
\(758\) | 4.72364 | + | 0.939590i | 0.171570 | + | 0.0341275i | ||||
\(759\) | 13.1477 | + | 2.61525i | 0.477233 | + | 0.0949275i | ||||
\(760\) | 1.38077 | + | 0.922603i | 0.0500859 | + | 0.0334663i | ||||
\(761\) | 5.07825 | 0.184086 | 0.0920432 | − | 0.995755i | \(-0.470660\pi\) | ||||
0.0920432 | + | 0.995755i | \(0.470660\pi\) | |||||||
\(762\) | 2.31191 | − | 0.459867i | 0.0837515 | − | 0.0166592i | ||||
\(763\) | 0.312620 | + | 0.129491i | 0.0113176 | + | 0.00468790i | ||||
\(764\) | 2.29286 | 0.0829528 | ||||||||
\(765\) | 21.3197 | − | 35.1308i | 0.770815 | − | 1.27016i | ||||
\(766\) | 5.13267i | 0.185451i | ||||||||
\(767\) | −2.85962 | − | 14.8239i | −0.103255 | − | 0.535260i | ||||
\(768\) | 13.6848 | + | 9.14389i | 0.493807 | + | 0.329952i | ||||
\(769\) | 26.7162 | 0.963412 | 0.481706 | − | 0.876333i | \(-0.340017\pi\) | ||||
0.481706 | + | 0.876333i | \(0.340017\pi\) | |||||||
\(770\) | 0.310127 | − | 0.0616881i | 0.0111762 | − | 0.00222308i | ||||
\(771\) | −0.586115 | − | 0.877183i | −0.0211084 | − | 0.0315910i | ||||
\(772\) | −3.75418 | + | 2.50847i | −0.135116 | + | 0.0902816i | ||||
\(773\) | −20.4954 | + | 49.4803i | −0.737168 | + | 1.77968i | −0.120114 | + | 0.992760i | \(0.538326\pi\) |
−0.617054 | + | 0.786921i | \(0.711674\pi\) | |||||||
\(774\) | 4.12072 | − | 9.94831i | 0.148116 | − | 0.357584i | ||||
\(775\) | −4.01960 | + | 2.68581i | −0.144388 | + | 0.0964773i | ||||
\(776\) | −13.3333 | − | 19.9547i | −0.478637 | − | 0.716331i | ||||
\(777\) | −0.247026 | + | 0.0491366i | −0.00886203 | + | 0.00176277i | ||||
\(778\) | 0.410971 | 0.0147340 | ||||||||
\(779\) | 0.899922 | + | 0.601309i | 0.0322431 | + | 0.0215441i | ||||
\(780\) | 46.0773 | − | 8.88858i | 1.64983 | − | 0.318262i | ||||
\(781\) | 2.23330i | 0.0799136i | ||||||||
\(782\) | −0.974131 | − | 1.32865i | −0.0348348 | − | 0.0475125i | ||||
\(783\) | 13.4869 | 0.481983 | ||||||||
\(784\) | −20.7913 | − | 8.61205i | −0.742547 | − | 0.307573i | ||||
\(785\) | −49.5021 | + | 9.84657i | −1.76680 | + | 0.351439i | ||||
\(786\) | 9.68731 | 0.345535 | ||||||||
\(787\) | −26.4756 | − | 17.6904i | −0.943752 | − | 0.630595i | −0.0144421 | − | 0.999896i | \(-0.504597\pi\) |
−0.929310 | + | 0.369301i | \(0.879597\pi\) | |||||||
\(788\) | 28.4809 | + | 5.66521i | 1.01459 | + | 0.201815i | ||||
\(789\) | 10.5134 | + | 2.09125i | 0.374288 | + | 0.0744506i | ||||
\(790\) | −5.23768 | − | 12.6449i | −0.186348 | − | 0.449885i | ||||
\(791\) | 0.202612 | − | 0.489149i | 0.00720406 | − | 0.0173921i | ||||
\(792\) | 24.2705 | + | 4.82770i | 0.862414 | + | 0.171545i | ||||
\(793\) | −32.8957 | + | 13.4034i | −1.16816 | + | 0.475970i | ||||
\(794\) | 0.767688 | + | 3.85943i | 0.0272442 | + | 0.136966i | ||||
\(795\) | 50.4747i | 1.79015i | ||||||||
\(796\) | 12.5559 | − | 18.7912i | 0.445031 | − | 0.666036i | ||||
\(797\) | −15.8352 | + | 38.2296i | −0.560911 | + | 1.35416i | 0.348127 | + | 0.937447i | \(0.386818\pi\) |
−0.909038 | + | 0.416713i | \(0.863182\pi\) | |||||||
\(798\) | 0.0197992 | + | 0.0197992i | 0.000700884 | + | 0.000700884i | ||||
\(799\) | 15.1334 | − | 41.5738i | 0.535381 | − | 1.47077i | ||||
\(800\) | 6.38496 | + | 6.38496i | 0.225742 | + | 0.225742i | ||||
\(801\) | −43.7984 | + | 18.1419i | −1.54754 | + | 0.641012i | ||||
\(802\) | 0.336178 | + | 0.224627i | 0.0118709 | + | 0.00793186i | ||||
\(803\) | −2.91793 | + | 2.91793i | −0.102971 | + | 0.102971i | ||||
\(804\) | 33.8773 | + | 22.6361i | 1.19476 | + | 0.798313i | ||||
\(805\) | 0.111072 | + | 0.166232i | 0.00391479 | + | 0.00585890i | ||||
\(806\) | 2.60007 | + | 1.09465i | 0.0915837 | + | 0.0385573i | ||||
\(807\) | −5.77994 | + | 2.39413i | −0.203464 | + | 0.0842774i | ||||
\(808\) | −0.638311 | − | 0.264397i | −0.0224557 | − | 0.00930146i | ||||
\(809\) | −2.24419 | + | 11.2823i | −0.0789014 | + | 0.396664i | 0.921072 | + | 0.389392i | \(0.127315\pi\) |
−0.999974 | + | 0.00727208i | \(0.997685\pi\) | |||||||
\(810\) | −5.24638 | + | 3.50552i | −0.184339 | + | 0.123171i | ||||
\(811\) | −25.7119 | − | 17.1802i | −0.902869 | − | 0.603278i | 0.0151193 | − | 0.999886i | \(-0.495187\pi\) |
−0.917988 | + | 0.396608i | \(0.870187\pi\) | |||||||
\(812\) | 0.943128i | 0.0330973i | ||||||||
\(813\) | 47.7267 | − | 9.49343i | 1.67385 | − | 0.332949i | ||||
\(814\) | −0.949360 | − | 2.29196i | −0.0332750 | − | 0.0803331i | ||||
\(815\) | 51.0500i | 1.78820i | ||||||||
\(816\) | 20.3002 | + | 27.6881i | 0.710648 | + | 0.969278i | ||||
\(817\) | −2.45841 | − | 2.45841i | −0.0860090 | − | 0.0860090i | ||||
\(818\) | 6.91869 | + | 2.86582i | 0.241906 | + | 0.100201i | ||||
\(819\) | 0.905102 | + | 0.00523558i | 0.0316268 | + | 0.000182946i | ||||
\(820\) | 8.81817 | + | 8.81817i | 0.307944 | + | 0.307944i | ||||
\(821\) | 1.92926 | − | 2.88734i | 0.0673316 | − | 0.100769i | −0.796276 | − | 0.604934i | \(-0.793200\pi\) |
0.863607 | + | 0.504165i | \(0.168200\pi\) | |||||||
\(822\) | −17.3349 | + | 11.5828i | −0.604623 | + | 0.403996i | ||||
\(823\) | 10.0158 | − | 50.3528i | 0.349128 | − | 1.75519i | −0.263350 | − | 0.964700i | \(-0.584828\pi\) |
0.612479 | − | 0.790487i | \(-0.290172\pi\) | |||||||
\(824\) | 4.66359 | − | 11.2589i | 0.162464 | − | 0.392223i | ||||
\(825\) | −25.5592 | − | 10.5870i | −0.889858 | − | 0.368591i | ||||
\(826\) | 0.0863018 | − | 0.0576650i | 0.00300282 | − | 0.00200642i | ||||
\(827\) | 1.50689 | − | 7.57565i | 0.0523997 | − | 0.263431i | −0.945701 | − | 0.325039i | \(-0.894623\pi\) |
0.998100 | + | 0.0616074i | \(0.0196227\pi\) | |||||||
\(828\) | 1.47352 | + | 7.40789i | 0.0512084 | + | 0.257442i | ||||
\(829\) | 3.97111 | + | 3.97111i | 0.137922 | + | 0.137922i | 0.772697 | − | 0.634775i | \(-0.218907\pi\) |
−0.634775 | + | 0.772697i | \(0.718907\pi\) | |||||||
\(830\) | 10.0715 | − | 2.00334i | 0.349586 | − | 0.0695371i | ||||
\(831\) | 10.4233 | − | 25.1641i | 0.361581 | − | 0.872933i | ||||
\(832\) | −3.59943 | + | 17.5639i | −0.124788 | + | 0.608920i | ||||
\(833\) | −21.2644 | − | 19.4867i | −0.736767 | − | 0.675173i | ||||
\(834\) | 5.95974 | − | 5.95974i | 0.206369 | − | 0.206369i | ||||
\(835\) | 2.65196 | − | 6.40240i | 0.0917749 | − | 0.221564i | ||||
\(836\) | 2.14286 | − | 3.20701i | 0.0741123 | − | 0.110917i | ||||
\(837\) | −3.87890 | −0.134074 | ||||||||
\(838\) | −4.40774 | + | 6.59665i | −0.152263 | + | 0.227877i | ||||
\(839\) | −24.4712 | − | 4.86763i | −0.844841 | − | 0.168049i | −0.246352 | − | 0.969180i | \(-0.579232\pi\) |
−0.598489 | + | 0.801131i | \(0.704232\pi\) | |||||||
\(840\) | 0.371298 | + | 0.555686i | 0.0128110 | + | 0.0191730i | ||||
\(841\) | −24.4408 | + | 10.1237i | −0.842787 | + | 0.349094i | ||||
\(842\) | −3.20263 | + | 1.32657i | −0.110370 | + | 0.0457167i | ||||
\(843\) | 23.0485 | − | 15.4005i | 0.793834 | − | 0.530423i | ||||
\(844\) | 29.2203 | − | 19.5244i | 1.00581 | − | 0.672058i | ||||
\(845\) | 19.1184 | + | 29.3420i | 0.657694 | + | 1.00940i | ||||
\(846\) | 10.2553 | − | 10.2553i | 0.352586 | − | 0.352586i | ||||
\(847\) | −0.151190 | − | 0.760085i | −0.00519496 | − | 0.0261168i | ||||
\(848\) | −21.5145 | − | 8.91158i | −0.738810 | − | 0.306025i | ||||
\(849\) | 64.5716 | 2.21609 | ||||||||
\(850\) | 1.43679 | + | 3.08151i | 0.0492815 | + | 0.105695i | ||||
\(851\) | 1.10912 | − | 1.10912i | 0.0380201 | − | 0.0380201i | ||||
\(852\) | −2.10520 | + | 0.872003i | −0.0721230 | + | 0.0298743i | ||||
\(853\) | −6.09102 | − | 30.6216i | −0.208553 | − | 1.04846i | −0.933203 | − | 0.359348i | \(-0.882999\pi\) |
0.724651 | − | 0.689116i | \(-0.242001\pi\) | |||||||
\(854\) | −0.172684 | − | 0.172684i | −0.00590914 | − | 0.00590914i | ||||
\(855\) | −0.848543 | − | 4.26592i | −0.0290196 | − | 0.145891i | ||||
\(856\) | 28.1470 | + | 5.59879i | 0.962045 | + | 0.191363i | ||||
\(857\) | −6.88164 | + | 34.5963i | −0.235072 | + | 1.18179i | 0.665269 | + | 0.746604i | \(0.268317\pi\) |
−0.900341 | + | 0.435185i | \(0.856683\pi\) | |||||||
\(858\) | 3.05792 | + | 15.8519i | 0.104396 | + | 0.541174i | ||||
\(859\) | 12.2458 | + | 29.5639i | 0.417821 | + | 1.00871i | 0.982978 | + | 0.183725i | \(0.0588155\pi\) |
−0.565157 | + | 0.824983i | \(0.691184\pi\) | |||||||
\(860\) | −22.2558 | − | 33.3082i | −0.758917 | − | 1.13580i | ||||
\(861\) | 0.241994 | + | 0.362170i | 0.00824714 | + | 0.0123427i | ||||
\(862\) | −2.05869 | + | 0.409499i | −0.0701194 | + | 0.0139476i | ||||
\(863\) | − | 31.0335i | − | 1.05639i | −0.849123 | − | 0.528196i | \(-0.822869\pi\) | ||
0.849123 | − | 0.528196i | \(-0.177131\pi\) | |||||||
\(864\) | 1.41345 | + | 7.10589i | 0.0480865 | + | 0.241747i | ||||
\(865\) | 16.8228 | + | 40.6137i | 0.571991 | + | 1.38091i | ||||
\(866\) | −4.63711 | + | 4.63711i | −0.157575 | + | 0.157575i | ||||
\(867\) | 12.3100 | + | 42.2455i | 0.418069 | + | 1.43473i | ||||
\(868\) | − | 0.271248i | − | 0.00920676i | ||||||
\(869\) | −60.8386 | + | 25.2002i | −2.06381 | + | 0.854858i | ||||
\(870\) | −10.5391 | + | 15.7729i | −0.357309 | + | 0.534750i | ||||
\(871\) | −6.10447 | + | 29.7877i | −0.206842 | + | 1.00932i | ||||
\(872\) | −6.90899 | + | 1.37428i | −0.233968 | + | 0.0465391i | ||||
\(873\) | −12.2630 | + | 61.6502i | −0.415039 | + | 2.08654i | ||||
\(874\) | −0.171025 | − | 0.0340190i | −0.00578501 | − | 0.00115071i | ||||
\(875\) | 0.191859 | + | 0.463189i | 0.00648602 | + | 0.0156586i | ||||
\(876\) | −3.88989 | − | 1.61124i | −0.131427 | − | 0.0544389i | ||||
\(877\) | 23.4324 | + | 35.0690i | 0.791255 | + | 1.18420i | 0.979375 | + | 0.202050i | \(0.0647605\pi\) |
−0.188120 | + | 0.982146i | \(0.560240\pi\) | |||||||
\(878\) | −0.324255 | + | 1.63014i | −0.0109431 | + | 0.0550146i | ||||
\(879\) | −19.4117 | + | 29.0516i | −0.654739 | + | 0.979886i | ||||
\(880\) | 29.0173 | − | 29.0173i | 0.978172 | − | 0.978172i | ||||
\(881\) | 0.457613 | + | 0.305767i | 0.0154174 | + | 0.0103016i | 0.563255 | − | 0.826283i | \(-0.309549\pi\) |
−0.547838 | + | 0.836585i | \(0.684549\pi\) | |||||||
\(882\) | −3.61828 | − | 8.73530i | −0.121834 | − | 0.294133i | ||||
\(883\) | 33.1723 | 1.11634 | 0.558168 | − | 0.829728i | \(-0.311504\pi\) | ||||
0.558168 | + | 0.829728i | \(0.311504\pi\) | |||||||
\(884\) | −14.5328 | + | 23.6379i | −0.488791 | + | 0.795029i | ||||
\(885\) | −29.1970 | −0.981445 | ||||||||
\(886\) | 2.04552 | + | 4.93832i | 0.0687206 | + | 0.165906i | ||||
\(887\) | 3.63292 | + | 2.42744i | 0.121982 | + | 0.0815055i | 0.615064 | − | 0.788477i | \(-0.289130\pi\) |
−0.493083 | + | 0.869982i | \(0.664130\pi\) | |||||||
\(888\) | 3.70761 | − | 3.70761i | 0.124419 | − | 0.124419i | ||||
\(889\) | 0.0939701 | − | 0.140636i | 0.00315166 | − | 0.00471679i | ||||
\(890\) | 2.46025 | − | 12.3685i | 0.0824677 | − | 0.414593i | ||||
\(891\) | 16.8662 | + | 25.2420i | 0.565038 | + | 0.845639i | ||||
\(892\) | 22.4937 | + | 9.31719i | 0.753144 | + | 0.311963i | ||||
\(893\) | −1.79201 | − | 4.32630i | −0.0599674 | − | 0.144774i | ||||
\(894\) | −13.0305 | − | 2.59193i | −0.435806 | − | 0.0866873i | ||||
\(895\) | 5.20826 | − | 26.1837i | 0.174093 | − | 0.875224i | ||||
\(896\) | −0.653334 | + | 0.129956i | −0.0218264 | + | 0.00434153i | ||||
\(897\) | −8.51983 | + | 5.62176i | −0.284469 | + | 0.187705i | ||||
\(898\) | −0.0321911 | + | 0.0481775i | −0.00107423 | + | 0.00160770i | ||||
\(899\) | 14.7349 | − | 6.10341i | 0.491438 | − | 0.203560i | ||||
\(900\) | − | 15.5875i | − | 0.519583i | ||||||
\(901\) | −22.0040 | − | 20.1644i | −0.733059 | − | 0.671775i | ||||
\(902\) | −3.03370 | + | 3.03370i | −0.101011 | + | 0.101011i | ||||
\(903\) | −0.535447 | − | 1.29268i | −0.0178186 | − | 0.0430178i | ||||
\(904\) | 2.15031 | + | 10.8103i | 0.0715183 | + | 0.359547i | ||||
\(905\) | 20.0769i | 0.667380i | ||||||||
\(906\) | 14.0720 | − | 2.79909i | 0.467511 | − | 0.0929937i | ||||
\(907\) | −7.26075 | − | 10.8665i | −0.241089 | − | 0.360816i | 0.691117 | − | 0.722743i | \(-0.257119\pi\) |
−0.932206 | + | 0.361927i | \(0.882119\pi\) | |||||||
\(908\) | −26.4215 | − | 39.5426i | −0.876828 | − | 1.31227i | ||||
\(909\) | 0.692499 | + | 1.67184i | 0.0229687 | + | 0.0554514i | ||||
\(910\) | −0.134921 | + | 0.199417i | −0.00447260 | + | 0.00661061i | ||||
\(911\) | 4.84703 | − | 24.3677i | 0.160589 | − | 0.807337i | −0.813569 | − | 0.581469i | \(-0.802478\pi\) |
0.974158 | − | 0.225868i | \(-0.0725219\pi\) | |||||||
\(912\) | 3.56404 | + | 0.708931i | 0.118017 | + | 0.0234751i | ||||
\(913\) | −9.63873 | − | 48.4572i | −0.318995 | − | 1.60370i | ||||
\(914\) | 10.1354 | + | 10.1354i | 0.335251 | + | 0.335251i | ||||
\(915\) | 13.4020 | + | 67.3762i | 0.443055 | + | 2.22739i | ||||
\(916\) | 44.2296 | − | 18.3205i | 1.46139 | − | 0.605327i | ||||
\(917\) | 0.491522 | − | 0.491522i | 0.0162315 | − | 0.0162315i | ||||
\(918\) | −0.415100 | + | 2.69628i | −0.0137004 | + | 0.0889904i | ||||
\(919\) | −32.4536 | −1.07054 | −0.535272 | − | 0.844679i | \(-0.679791\pi\) | ||||
−0.535272 | + | 0.844679i | \(0.679791\pi\) | |||||||
\(920\) | −3.84523 | − | 1.59275i | −0.126773 | − | 0.0525113i | ||||
\(921\) | 6.44451 | + | 32.3987i | 0.212354 | + | 1.06757i | ||||
\(922\) | −1.40116 | + | 1.40116i | −0.0461448 | + | 0.0461448i | ||||
\(923\) | −1.19549 | − | 1.20940i | −0.0393499 | − | 0.0398078i | ||||
\(924\) | 1.29065 | − | 0.862384i | 0.0424593 | − | 0.0283704i | ||||
\(925\) | −2.69150 | + | 1.79840i | −0.0884960 | + | 0.0591312i | ||||
\(926\) | 4.13011 | − | 1.71075i | 0.135724 | − | 0.0562187i | ||||
\(927\) | −29.4889 | + | 12.2147i | −0.968543 | + | 0.401184i | ||||
\(928\) | −16.5504 | − | 24.7694i | −0.543293 | − | 0.813096i | ||||
\(929\) | −36.8103 | − | 7.32203i | −1.20771 | − | 0.240228i | −0.450124 | − | 0.892966i | \(-0.648620\pi\) |
−0.757584 | + | 0.652738i | \(0.773620\pi\) | |||||||
\(930\) | 3.03109 | − | 4.53635i | 0.0993935 | − | 0.148753i | ||||
\(931\) | −3.05280 | −0.100052 | ||||||||
\(932\) | −7.78022 | + | 11.6439i | −0.254849 | + | 0.381409i | ||||
\(933\) | −33.8943 | + | 81.8280i | −1.10965 | + | 2.67893i | ||||
\(934\) | −3.45300 | + | 3.45300i | −0.112986 | + | 0.112986i | ||||
\(935\) | 47.6678 | − | 22.2257i | 1.55890 | − | 0.726857i | ||||
\(936\) | −15.7275 | + | 10.3777i | −0.514068 | + | 0.339204i | ||||
\(937\) | −14.2274 | + | 34.3479i | −0.464788 | + | 1.12210i | 0.501621 | + | 0.865088i | \(0.332737\pi\) |
−0.966409 | + | 0.257010i | \(0.917263\pi\) | |||||||
\(938\) | −0.205032 | + | 0.0407833i | −0.00669452 | + | 0.00133162i | ||||
\(939\) | −44.1571 | − | 44.1571i | −1.44101 | − | 1.44101i | ||||
\(940\) | −10.5262 | − | 52.9188i | −0.343327 | − | 1.72602i | ||||
\(941\) | 7.37194 | − | 37.0612i | 0.240318 | − | 1.20816i | −0.652515 | − | 0.757776i | \(-0.726286\pi\) |
0.892834 | − | 0.450387i | \(-0.148714\pi\) | |||||||
\(942\) | 14.7306 | − | 9.84270i | 0.479950 | − | 0.320693i | ||||
\(943\) | −2.50614 | − | 1.03808i | −0.0816110 | − | 0.0338044i | ||||
\(944\) | 5.15489 | − | 12.4450i | 0.167777 | − | 0.405050i | ||||
\(945\) | 0.0645848 | − | 0.324690i | 0.00210094 | − | 0.0105622i | ||||
\(946\) | 11.4590 | − | 7.65663i | 0.372563 | − | 0.248939i | ||||
\(947\) | −12.6630 | + | 18.9516i | −0.411493 | + | 0.615843i | −0.978098 | − | 0.208147i | \(-0.933257\pi\) |
0.566604 | + | 0.823990i | \(0.308257\pi\) | |||||||
\(948\) | −47.5096 | − | 47.5096i | −1.54304 | − | 1.54304i | ||||
\(949\) | 0.0181756 | − | 3.14211i | 0.000590006 | − | 0.101997i | ||||
\(950\) | 0.332473 | + | 0.137715i | 0.0107869 | + | 0.00446806i | ||||
\(951\) | 10.0041 | + | 10.0041i | 0.324406 | + | 0.324406i | ||||
\(952\) | −0.390579 | − | 0.0601308i | −0.0126587 | − | 0.00194885i | ||||
\(953\) | 9.45898i | 0.306406i | 0.988195 | + | 0.153203i | \(0.0489589\pi\) | ||||
−0.988195 | + | 0.153203i | \(0.951041\pi\) | |||||||
\(954\) | −3.74413 | − | 9.03912i | −0.121221 | − | 0.292652i | ||||
\(955\) | 3.24564 | − | 0.645598i | 0.105026 | − | 0.0208911i | ||||
\(956\) | 26.2818i | 0.850015i | ||||||||
\(957\) | 75.8883 | + | 50.7070i | 2.45312 | + | 1.63912i | ||||
\(958\) | 1.44408 | − | 0.964903i | 0.0466561 | − | 0.0311746i | ||||
\(959\) | −0.291853 | + | 1.46725i | −0.00942444 | + | 0.0473799i | ||||
\(960\) | 32.0340 | + | 13.2689i | 1.03389 | + | 0.428253i | ||||
\(961\) | 24.4024 | − | 10.1078i | 0.787175 | − | 0.326059i | ||||
\(962\) | 1.74099 | + | 0.732970i | 0.0561319 | + | 0.0236319i | ||||
\(963\) | −41.7599 | − | 62.4981i | −1.34569 | − | 2.01397i | ||||
\(964\) | 39.3871 | + | 26.3176i | 1.26857 | + | 0.847633i | ||||
\(965\) | −4.60790 | + | 4.60790i | −0.148333 | + | 0.148333i | ||||
\(966\) | −0.0583499 | − | 0.0389881i | −0.00187738 | − | 0.00125442i | ||||
\(967\) | 34.4255 | − | 14.2595i | 1.10705 | − | 0.458555i | 0.247129 | − | 0.968983i | \(-0.420513\pi\) |
0.859921 | + | 0.510428i | \(0.170513\pi\) | |||||||
\(968\) | 11.4081 | + | 11.4081i | 0.366669 | + | 0.366669i | ||||
\(969\) | 3.98153 | + | 2.41626i | 0.127905 | + | 0.0776213i | ||||
\(970\) | −11.8235 | − | 11.8235i | −0.379630 | − | 0.379630i | ||||
\(971\) | 4.42293 | − | 10.6779i | 0.141938 | − | 0.342670i | −0.836884 | − | 0.547380i | \(-0.815625\pi\) |
0.978823 | + | 0.204710i | \(0.0656252\pi\) | |||||||
\(972\) | −22.8430 | + | 34.1870i | −0.732690 | + | 1.09655i | ||||
\(973\) | − | 0.604779i | − | 0.0193883i | ||||||
\(974\) | −0.694547 | − | 3.49172i | −0.0222547 | − | 0.111882i | ||||
\(975\) | 19.5083 | − | 7.94871i | 0.624765 | − | 0.254562i | ||||
\(976\) | −31.0848 | − | 6.18315i | −0.995000 | − | 0.197918i | ||||
\(977\) | 10.7167 | − | 25.8724i | 0.342857 | − | 0.827731i | −0.654567 | − | 0.756004i | \(-0.727149\pi\) |
0.997424 | − | 0.0717269i | \(-0.0228510\pi\) | |||||||
\(978\) | −6.85743 | − | 16.5553i | −0.219276 | − | 0.529380i | ||||
\(979\) | −59.5088 | − | 11.8370i | −1.90191 | − | 0.378313i | ||||
\(980\) | −34.4991 | − | 6.86229i | −1.10203 | − | 0.219208i | ||||
\(981\) | 15.3408 | + | 10.2504i | 0.489796 | + | 0.327271i | ||||
\(982\) | 1.62496 | 0.0518545 | ||||||||
\(983\) | −34.2829 | + | 6.81930i | −1.09346 | + | 0.217502i | −0.708696 | − | 0.705514i | \(-0.750716\pi\) |
−0.384761 | + | 0.923016i | \(0.625716\pi\) | |||||||
\(984\) | −8.37762 | − | 3.47012i | −0.267069 | − | 0.110623i | ||||
\(985\) | 41.9111 | 1.33540 | ||||||||
\(986\) | −2.66571 | − | 10.8956i | −0.0848935 | − | 0.346987i | ||||
\(987\) | − | 1.88455i | − | 0.0599860i | ||||||
\(988\) | 0.556296 | + | 2.88377i | 0.0176981 | + | 0.0917448i | ||||
\(989\) | 7.24514 | + | 4.84105i | 0.230382 | + | 0.153936i | ||||
\(990\) | 17.2412 | 0.547961 | ||||||||
\(991\) | −45.8444 | + | 9.11901i | −1.45629 | + | 0.289675i | −0.858846 | − | 0.512233i | \(-0.828818\pi\) |
−0.597447 | + | 0.801908i | \(0.703818\pi\) | |||||||
\(992\) | 4.75997 | + | 7.12380i | 0.151129 | + | 0.226181i | ||||
\(993\) | 3.47315 | − | 2.32069i | 0.110217 | − | 0.0736447i | ||||
\(994\) | 0.00447407 | − | 0.0108014i | 0.000141909 | − | 0.000342598i | ||||
\(995\) | 12.4823 | − | 30.1350i | 0.395717 | − | 0.955345i | ||||
\(996\) | 41.9143 | − | 28.0062i | 1.32811 | − | 0.887412i | ||||
\(997\) | −3.19097 | − | 4.77562i | −0.101059 | − | 0.151245i | 0.777494 | − | 0.628890i | \(-0.216491\pi\) |
−0.878553 | + | 0.477645i | \(0.841491\pi\) | |||||||
\(998\) | 1.17332 | − | 0.233389i | 0.0371409 | − | 0.00738779i | ||||
\(999\) | −2.59729 | −0.0821745 |
(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 | 221.2.z.a.44.9 | ✓ | 152 | |
13.8 | odd | 4 | 221.2.ba.a.112.11 | yes | 152 | ||
17.12 | odd | 16 | 221.2.ba.a.148.11 | yes | 152 | ||
221.216 | even | 16 | inner | 221.2.z.a.216.9 | yes | 152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
221.2.z.a.44.9 | ✓ | 152 | 1.1 | even | 1 | trivial | |
221.2.z.a.216.9 | yes | 152 | 221.216 | even | 16 | inner | |
221.2.ba.a.112.11 | yes | 152 | 13.8 | odd | 4 | ||
221.2.ba.a.148.11 | yes | 152 | 17.12 | odd | 16 |