Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [270,2,Mod(23,270)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(270, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([22, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("270.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 270 = 2 \cdot 3^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 270.r (of order \(36\), degree \(12\), 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: | \(2.15596085457\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 257.14 | ||
Character | \(\chi\) | \(=\) | 270.257 |
Dual form | 270.2.r.a.83.14 |
$q$-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 \(\left(\mathbb{Z}/270\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(217\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.819152 | + | 0.573576i | 0.579228 | + | 0.405580i | ||||
\(3\) | 0.264030 | + | 1.71181i | 0.152438 | + | 0.988313i | ||||
\(4\) | 0.342020 | + | 0.939693i | 0.171010 | + | 0.469846i | ||||
\(5\) | −2.23178 | − | 0.138341i | −0.998084 | − | 0.0618682i | ||||
\(6\) | −0.765573 | + | 1.55367i | −0.312544 | + | 0.634284i | ||||
\(7\) | 0.660295 | + | 1.41601i | 0.249568 | + | 0.535200i | 0.990685 | − | 0.136176i | \(-0.0434812\pi\) |
−0.741117 | + | 0.671376i | \(0.765703\pi\) | |||||||
\(8\) | −0.258819 | + | 0.965926i | −0.0915064 | + | 0.341506i | ||||
\(9\) | −2.86058 | + | 0.903936i | −0.953526 | + | 0.301312i | ||||
\(10\) | −1.74882 | − | 1.39342i | −0.553026 | − | 0.440639i | ||||
\(11\) | 2.49909 | + | 2.97830i | 0.753504 | + | 0.897991i | 0.997419 | − | 0.0718058i | \(-0.0228762\pi\) |
−0.243915 | + | 0.969797i | \(0.578432\pi\) | |||||||
\(12\) | −1.51827 | + | 0.833580i | −0.438287 | + | 0.240634i | ||||
\(13\) | −2.53803 | − | 3.62468i | −0.703922 | − | 1.00530i | −0.998761 | − | 0.0497575i | \(-0.984155\pi\) |
0.294840 | − | 0.955547i | \(-0.404734\pi\) | |||||||
\(14\) | −0.271306 | + | 1.53865i | −0.0725097 | + | 0.411223i | ||||
\(15\) | −0.352443 | − | 3.85691i | −0.0910004 | − | 0.995851i | ||||
\(16\) | −0.766044 | + | 0.642788i | −0.191511 | + | 0.160697i | ||||
\(17\) | 1.52587 | + | 5.69463i | 0.370078 | + | 1.38115i | 0.860405 | + | 0.509612i | \(0.170211\pi\) |
−0.490326 | + | 0.871539i | \(0.663122\pi\) | |||||||
\(18\) | −2.86172 | − | 0.900298i | −0.674515 | − | 0.212202i | ||||
\(19\) | 5.43314 | − | 3.13682i | 1.24645 | − | 0.719636i | 0.276048 | − | 0.961144i | \(-0.410975\pi\) |
0.970399 | + | 0.241507i | \(0.0776418\pi\) | |||||||
\(20\) | −0.633317 | − | 2.14451i | −0.141614 | − | 0.479526i | ||||
\(21\) | −2.24960 | + | 1.50417i | −0.490902 | + | 0.328236i | ||||
\(22\) | 0.338852 | + | 3.87310i | 0.0722435 | + | 0.825747i | ||||
\(23\) | −1.84860 | − | 0.862017i | −0.385460 | − | 0.179743i | 0.220222 | − | 0.975450i | \(-0.429322\pi\) |
−0.605682 | + | 0.795707i | \(0.707100\pi\) | |||||||
\(24\) | −1.72182 | − | 0.188016i | −0.351464 | − | 0.0383785i | ||||
\(25\) | 4.96172 | + | 0.617497i | 0.992345 | + | 0.123499i | ||||
\(26\) | − | 4.42491i | − | 0.867797i | ||||||
\(27\) | −2.30264 | − | 4.65809i | −0.443144 | − | 0.896451i | ||||
\(28\) | −1.10478 | + | 1.10478i | −0.208783 | + | 0.208783i | ||||
\(29\) | −0.651227 | − | 3.69329i | −0.120930 | − | 0.685827i | −0.983642 | − | 0.180132i | \(-0.942347\pi\) |
0.862713 | − | 0.505694i | \(-0.168764\pi\) | |||||||
\(30\) | 1.92353 | − | 3.36155i | 0.351187 | − | 0.613733i | ||||
\(31\) | 4.48984 | − | 1.63417i | 0.806400 | − | 0.293505i | 0.0942638 | − | 0.995547i | \(-0.469950\pi\) |
0.712136 | + | 0.702042i | \(0.247728\pi\) | |||||||
\(32\) | −0.996195 | + | 0.0871557i | −0.176104 | + | 0.0154071i | ||||
\(33\) | −4.43844 | + | 5.06432i | −0.772634 | + | 0.881585i | ||||
\(34\) | −2.01638 | + | 5.53997i | −0.345807 | + | 0.950097i | ||||
\(35\) | −1.27774 | − | 3.25157i | −0.215978 | − | 0.549615i | ||||
\(36\) | −1.82780 | − | 2.37890i | −0.304633 | − | 0.396483i | ||||
\(37\) | 5.27901 | − | 1.41451i | 0.867864 | − | 0.232544i | 0.202700 | − | 0.979241i | \(-0.435028\pi\) |
0.665164 | + | 0.746697i | \(0.268362\pi\) | |||||||
\(38\) | 6.24977 | + | 0.546784i | 1.01385 | + | 0.0887001i | ||||
\(39\) | 5.53464 | − | 5.30164i | 0.886251 | − | 0.848941i | ||||
\(40\) | 0.711256 | − | 2.11993i | 0.112459 | − | 0.335191i | ||||
\(41\) | 1.36266 | + | 0.240274i | 0.212812 | + | 0.0375245i | 0.279037 | − | 0.960280i | \(-0.409985\pi\) |
−0.0662257 | + | 0.997805i | \(0.521096\pi\) | |||||||
\(42\) | −2.70552 | − | 0.0581741i | −0.417470 | − | 0.00897645i | ||||
\(43\) | −0.741688 | + | 8.47753i | −0.113106 | + | 1.29281i | 0.701446 | + | 0.712722i | \(0.252538\pi\) |
−0.814553 | + | 0.580089i | \(0.803018\pi\) | |||||||
\(44\) | −1.94395 | + | 3.36701i | −0.293061 | + | 0.507596i | ||||
\(45\) | 6.50924 | − | 1.62165i | 0.970341 | − | 0.241742i | ||||
\(46\) | −1.01985 | − | 1.76644i | −0.150369 | − | 0.260447i | ||||
\(47\) | −2.58064 | + | 1.20337i | −0.376425 | + | 0.175530i | −0.601617 | − | 0.798785i | \(-0.705477\pi\) |
0.225192 | + | 0.974314i | \(0.427699\pi\) | |||||||
\(48\) | −1.30259 | − | 1.14161i | −0.188012 | − | 0.164777i | ||||
\(49\) | 2.93043 | − | 3.49235i | 0.418632 | − | 0.498907i | ||||
\(50\) | 3.71022 | + | 3.35175i | 0.524705 | + | 0.474009i | ||||
\(51\) | −9.34524 | + | 4.11555i | −1.30860 | + | 0.576292i | ||||
\(52\) | 2.53803 | − | 3.62468i | 0.351961 | − | 0.502652i | ||||
\(53\) | 4.58542 | + | 4.58542i | 0.629855 | + | 0.629855i | 0.948032 | − | 0.318176i | \(-0.103070\pi\) |
−0.318176 | + | 0.948032i | \(0.603070\pi\) | |||||||
\(54\) | 0.785558 | − | 5.13643i | 0.106901 | − | 0.698979i | ||||
\(55\) | −5.16541 | − | 6.99265i | −0.696503 | − | 0.942888i | ||||
\(56\) | −1.53865 | + | 0.271306i | −0.205611 | + | 0.0362548i | ||||
\(57\) | 6.80415 | + | 8.47227i | 0.901231 | + | 1.12218i | ||||
\(58\) | 1.58493 | − | 3.39889i | 0.208112 | − | 0.446297i | ||||
\(59\) | 0.286098 | + | 0.240065i | 0.0372468 | + | 0.0312538i | 0.661221 | − | 0.750191i | \(-0.270039\pi\) |
−0.623974 | + | 0.781445i | \(0.714483\pi\) | |||||||
\(60\) | 3.50377 | − | 1.65033i | 0.452335 | − | 0.213057i | ||||
\(61\) | 3.34571 | + | 1.21774i | 0.428374 | + | 0.155915i | 0.547204 | − | 0.836999i | \(-0.315692\pi\) |
−0.118830 | + | 0.992915i | \(0.537914\pi\) | |||||||
\(62\) | 4.61518 | + | 1.23663i | 0.586129 | + | 0.157053i | ||||
\(63\) | −3.16880 | − | 3.45373i | −0.399232 | − | 0.435129i | ||||
\(64\) | −0.866025 | − | 0.500000i | −0.108253 | − | 0.0625000i | ||||
\(65\) | 5.16288 | + | 8.44061i | 0.640377 | + | 1.04693i | ||||
\(66\) | −6.54054 | + | 1.60266i | −0.805084 | + | 0.197274i | ||||
\(67\) | 9.14598 | − | 6.40409i | 1.11736 | − | 0.782384i | 0.139205 | − | 0.990264i | \(-0.455545\pi\) |
0.978154 | + | 0.207880i | \(0.0666563\pi\) | |||||||
\(68\) | −4.82932 | + | 3.38153i | −0.585641 | + | 0.410071i | ||||
\(69\) | 0.987523 | − | 3.39205i | 0.118884 | − | 0.408355i | ||||
\(70\) | 0.818357 | − | 3.39641i | 0.0978124 | − | 0.405949i | ||||
\(71\) | −13.8457 | − | 7.99385i | −1.64319 | − | 0.948695i | −0.979690 | − | 0.200517i | \(-0.935738\pi\) |
−0.663498 | − | 0.748178i | \(-0.730929\pi\) | |||||||
\(72\) | −0.132764 | − | 2.99706i | −0.0156464 | − | 0.353207i | ||||
\(73\) | −15.8475 | − | 4.24633i | −1.85481 | − | 0.496996i | −0.855046 | − | 0.518552i | \(-0.826471\pi\) |
−0.999768 | + | 0.0215563i | \(0.993138\pi\) | |||||||
\(74\) | 5.13564 | + | 1.86922i | 0.597006 | + | 0.217292i | ||||
\(75\) | 0.253006 | + | 8.65656i | 0.0292146 | + | 0.999573i | ||||
\(76\) | 4.80589 | + | 4.03262i | 0.551274 | + | 0.462573i | ||||
\(77\) | −2.56716 | + | 5.50528i | −0.292555 | + | 0.627385i | ||||
\(78\) | 7.57460 | − | 1.16831i | 0.857655 | − | 0.132285i | ||||
\(79\) | 0.515259 | − | 0.0908541i | 0.0579712 | − | 0.0102219i | −0.144587 | − | 0.989492i | \(-0.546185\pi\) |
0.202559 | + | 0.979270i | \(0.435074\pi\) | |||||||
\(80\) | 1.79857 | − | 1.32859i | 0.201086 | − | 0.148541i | ||||
\(81\) | 7.36580 | − | 5.17156i | 0.818422 | − | 0.574618i | ||||
\(82\) | 0.978410 | + | 0.978410i | 0.108047 | + | 0.108047i | ||||
\(83\) | 6.06786 | − | 8.66581i | 0.666035 | − | 0.951196i | −0.333929 | − | 0.942598i | \(-0.608374\pi\) |
0.999963 | − | 0.00859745i | \(-0.00273669\pi\) | |||||||
\(84\) | −2.18286 | − | 1.59947i | −0.238170 | − | 0.174517i | ||||
\(85\) | −2.61761 | − | 12.9203i | −0.283920 | − | 1.40140i | ||||
\(86\) | −5.47007 | + | 6.51897i | −0.589853 | + | 0.702959i | ||||
\(87\) | 6.15026 | − | 2.08991i | 0.659377 | − | 0.224062i | ||||
\(88\) | −3.52363 | + | 1.64309i | −0.375620 | + | 0.175154i | ||||
\(89\) | −2.59790 | − | 4.49969i | −0.275377 | − | 0.476967i | 0.694853 | − | 0.719151i | \(-0.255469\pi\) |
−0.970230 | + | 0.242185i | \(0.922136\pi\) | |||||||
\(90\) | 6.26220 | + | 2.40517i | 0.660094 | + | 0.253527i | ||||
\(91\) | 3.45672 | − | 5.98722i | 0.362363 | − | 0.627631i | ||||
\(92\) | 0.177772 | − | 2.03194i | 0.0185340 | − | 0.211845i | ||||
\(93\) | 3.98284 | + | 7.25428i | 0.413001 | + | 0.752234i | ||||
\(94\) | −2.80416 | − | 0.494449i | −0.289227 | − | 0.0509986i | ||||
\(95\) | −12.5595 | + | 6.24908i | −1.28858 | + | 0.641142i | ||||
\(96\) | −0.412219 | − | 1.68228i | −0.0420719 | − | 0.171697i | ||||
\(97\) | −11.4498 | − | 1.00173i | −1.16255 | − | 0.101710i | −0.510495 | − | 0.859881i | \(-0.670538\pi\) |
−0.652056 | + | 0.758170i | \(0.726093\pi\) | |||||||
\(98\) | 4.40359 | − | 1.17994i | 0.444830 | − | 0.119192i | ||||
\(99\) | −9.84103 | − | 6.26063i | −0.989061 | − | 0.629217i | ||||
\(100\) | 1.11675 | + | 4.87369i | 0.111675 | + | 0.487369i | ||||
\(101\) | 1.17202 | − | 3.22011i | 0.116621 | − | 0.320413i | −0.867625 | − | 0.497219i | \(-0.834354\pi\) |
0.984246 | + | 0.176806i | \(0.0565767\pi\) | |||||||
\(102\) | −10.0158 | − | 1.98895i | −0.991708 | − | 0.196935i | ||||
\(103\) | −10.8493 | + | 0.949195i | −1.06902 | + | 0.0935270i | −0.608057 | − | 0.793893i | \(-0.708051\pi\) |
−0.460961 | + | 0.887420i | \(0.652495\pi\) | |||||||
\(104\) | 4.15806 | − | 1.51341i | 0.407731 | − | 0.148402i | ||||
\(105\) | 5.22870 | − | 3.04576i | 0.510269 | − | 0.297236i | ||||
\(106\) | 1.12607 | + | 6.38624i | 0.109373 | + | 0.620286i | ||||
\(107\) | −0.457924 | + | 0.457924i | −0.0442692 | + | 0.0442692i | −0.728895 | − | 0.684626i | \(-0.759966\pi\) |
0.684626 | + | 0.728895i | \(0.259966\pi\) | |||||||
\(108\) | 3.58963 | − | 3.75694i | 0.345412 | − | 0.361512i | ||||
\(109\) | 11.4623i | 1.09789i | 0.835859 | + | 0.548944i | \(0.184970\pi\) | ||||
−0.835859 | + | 0.548944i | \(0.815030\pi\) | |||||||
\(110\) | −0.220435 | − | 8.69080i | −0.0210176 | − | 0.828635i | ||||
\(111\) | 3.81518 | + | 8.66319i | 0.362121 | + | 0.822273i | ||||
\(112\) | −1.41601 | − | 0.660295i | −0.133800 | − | 0.0623920i | ||||
\(113\) | 1.62784 | + | 18.6063i | 0.153135 | + | 1.75034i | 0.552470 | + | 0.833532i | \(0.313685\pi\) |
−0.399336 | + | 0.916805i | \(0.630759\pi\) | |||||||
\(114\) | 0.714135 | + | 10.8428i | 0.0668849 | + | 1.01552i | ||||
\(115\) | 4.00643 | + | 2.17957i | 0.373601 | + | 0.203246i | ||||
\(116\) | 3.24782 | − | 1.87513i | 0.301553 | − | 0.174102i | ||||
\(117\) | 10.5367 | + | 8.07445i | 0.974118 | + | 0.746483i | ||||
\(118\) | 0.0966623 | + | 0.360748i | 0.00889848 | + | 0.0332096i | ||||
\(119\) | −7.05611 | + | 5.92078i | −0.646833 | + | 0.542757i | ||||
\(120\) | 3.81671 | + | 0.657809i | 0.348417 | + | 0.0600495i | ||||
\(121\) | −0.714686 | + | 4.05318i | −0.0649714 | + | 0.368471i | ||||
\(122\) | 2.04218 | + | 2.91653i | 0.184890 | + | 0.264050i | ||||
\(123\) | −0.0515200 | + | 2.39605i | −0.00464540 | + | 0.216045i | ||||
\(124\) | 3.07123 | + | 3.66015i | 0.275805 | + | 0.328691i | ||||
\(125\) | −10.9881 | − | 2.06453i | −0.982803 | − | 0.184657i | ||||
\(126\) | −0.614753 | − | 4.64668i | −0.0547666 | − | 0.413960i | ||||
\(127\) | 0.266100 | − | 0.993100i | 0.0236126 | − | 0.0881234i | −0.953114 | − | 0.302611i | \(-0.902142\pi\) |
0.976727 | + | 0.214488i | \(0.0688083\pi\) | |||||||
\(128\) | −0.422618 | − | 0.906308i | −0.0373545 | − | 0.0801070i | ||||
\(129\) | −14.7077 | + | 0.968692i | −1.29494 | + | 0.0852886i | ||||
\(130\) | −0.612149 | + | 9.87545i | −0.0536890 | + | 0.866134i | ||||
\(131\) | −4.41662 | − | 12.1346i | −0.385882 | − | 1.06020i | −0.968837 | − | 0.247698i | \(-0.920326\pi\) |
0.582955 | − | 0.812504i | \(-0.301896\pi\) | |||||||
\(132\) | −6.27694 | − | 2.43867i | −0.546338 | − | 0.212259i | ||||
\(133\) | 8.02924 | + | 5.62213i | 0.696223 | + | 0.487501i | ||||
\(134\) | 11.1652 | 0.964525 | ||||||||
\(135\) | 4.49460 | + | 10.7144i | 0.386833 | + | 0.922150i | ||||
\(136\) | −5.89551 | −0.505536 | ||||||||
\(137\) | 10.3317 | + | 7.23430i | 0.882692 | + | 0.618068i | 0.924552 | − | 0.381056i | \(-0.124439\pi\) |
−0.0418597 | + | 0.999124i | \(0.513328\pi\) | |||||||
\(138\) | 2.75453 | − | 2.21219i | 0.234481 | − | 0.188314i | ||||
\(139\) | −4.45298 | − | 12.2345i | −0.377697 | − | 1.03771i | −0.972309 | − | 0.233700i | \(-0.924917\pi\) |
0.594612 | − | 0.804013i | \(-0.297306\pi\) | |||||||
\(140\) | 2.61846 | − | 2.31279i | 0.221300 | − | 0.195466i | ||||
\(141\) | −2.74131 | − | 4.09983i | −0.230860 | − | 0.345268i | ||||
\(142\) | −6.75669 | − | 14.4898i | −0.567009 | − | 1.21595i | ||||
\(143\) | 4.45262 | − | 16.6174i | 0.372346 | − | 1.38962i | ||||
\(144\) | 1.61029 | − | 2.53120i | 0.134191 | − | 0.210933i | ||||
\(145\) | 0.942462 | + | 8.33272i | 0.0782672 | + | 0.691995i | ||||
\(146\) | −10.5459 | − | 12.5682i | −0.872788 | − | 1.04015i | ||||
\(147\) | 6.75195 | + | 4.09425i | 0.556891 | + | 0.337688i | ||||
\(148\) | 3.13473 | + | 4.47686i | 0.257673 | + | 0.367996i | ||||
\(149\) | 1.70531 | − | 9.67130i | 0.139705 | − | 0.792304i | −0.831763 | − | 0.555131i | \(-0.812668\pi\) |
0.971467 | − | 0.237173i | \(-0.0762208\pi\) | |||||||
\(150\) | −4.75795 | + | 7.23616i | −0.388485 | + | 0.590830i | ||||
\(151\) | −9.58950 | + | 8.04655i | −0.780383 | + | 0.654819i | −0.943345 | − | 0.331814i | \(-0.892340\pi\) |
0.162962 | + | 0.986632i | \(0.447895\pi\) | |||||||
\(152\) | 1.62374 | + | 6.05988i | 0.131703 | + | 0.491521i | ||||
\(153\) | −9.51246 | − | 14.9106i | −0.769036 | − | 1.20545i | ||||
\(154\) | −5.26059 | + | 3.03720i | −0.423911 | + | 0.244745i | ||||
\(155\) | −10.2464 | + | 3.02598i | −0.823013 | + | 0.243053i | ||||
\(156\) | 6.87487 | + | 3.38759i | 0.550430 | + | 0.271224i | ||||
\(157\) | 0.569088 | + | 6.50470i | 0.0454181 | + | 0.519132i | 0.984494 | + | 0.175421i | \(0.0561285\pi\) |
−0.939075 | + | 0.343711i | \(0.888316\pi\) | |||||||
\(158\) | 0.474187 | + | 0.221117i | 0.0377243 | + | 0.0175911i | ||||
\(159\) | −6.63867 | + | 9.06004i | −0.526481 | + | 0.718508i | ||||
\(160\) | 2.23535 | − | 0.0566978i | 0.176720 | − | 0.00448235i | ||||
\(161\) | − | 3.18682i | − | 0.251157i | ||||||
\(162\) | 8.99999 | − | 0.0114444i | 0.707106 | − | 0.000899159i | ||||
\(163\) | 0.269581 | − | 0.269581i | 0.0211152 | − | 0.0211152i | −0.696470 | − | 0.717586i | \(-0.745247\pi\) |
0.717586 | + | 0.696470i | \(0.245247\pi\) | |||||||
\(164\) | 0.240274 | + | 1.36266i | 0.0187622 | + | 0.106406i | ||||
\(165\) | 10.6063 | − | 10.6885i | 0.825696 | − | 0.832095i | ||||
\(166\) | 9.94100 | − | 3.61823i | 0.771572 | − | 0.280829i | ||||
\(167\) | 0.935238 | − | 0.0818227i | 0.0723709 | − | 0.00633163i | −0.0509128 | − | 0.998703i | \(-0.516213\pi\) |
0.123284 | + | 0.992371i | \(0.460657\pi\) | |||||||
\(168\) | −0.870675 | − | 2.56225i | −0.0671740 | − | 0.197682i | ||||
\(169\) | −2.25044 | + | 6.18304i | −0.173111 | + | 0.475618i | ||||
\(170\) | 5.26654 | − | 12.0851i | 0.403925 | − | 0.926883i | ||||
\(171\) | −12.7064 | + | 13.8843i | −0.971684 | + | 1.06176i | ||||
\(172\) | −8.21995 | + | 2.20253i | −0.626765 | + | 0.167941i | ||||
\(173\) | 20.3548 | + | 1.78081i | 1.54755 | + | 0.135393i | 0.828667 | − | 0.559742i | \(-0.189100\pi\) |
0.718879 | + | 0.695135i | \(0.244655\pi\) | |||||||
\(174\) | 6.23672 | + | 1.81569i | 0.472805 | + | 0.137647i | ||||
\(175\) | 2.40182 | + | 7.43357i | 0.181561 | + | 0.561925i | ||||
\(176\) | −3.82883 | − | 0.675125i | −0.288609 | − | 0.0508895i | ||||
\(177\) | −0.335406 | + | 0.553129i | −0.0252107 | + | 0.0415757i | ||||
\(178\) | 0.452844 | − | 5.17603i | 0.0339421 | − | 0.387960i | ||||
\(179\) | −4.86890 | + | 8.43318i | −0.363918 | + | 0.630325i | −0.988602 | − | 0.150553i | \(-0.951895\pi\) |
0.624684 | + | 0.780878i | \(0.285228\pi\) | |||||||
\(180\) | 3.75015 | + | 5.56205i | 0.279520 | + | 0.414571i | ||||
\(181\) | −3.49165 | − | 6.04772i | −0.259532 | − | 0.449523i | 0.706584 | − | 0.707629i | \(-0.250235\pi\) |
−0.966117 | + | 0.258106i | \(0.916902\pi\) | |||||||
\(182\) | 6.26571 | − | 2.92175i | 0.464445 | − | 0.216574i | ||||
\(183\) | −1.20117 | + | 6.04873i | −0.0887928 | + | 0.447135i | ||||
\(184\) | 1.31110 | − | 1.56251i | 0.0966554 | − | 0.115189i | ||||
\(185\) | −11.9773 | + | 2.42657i | −0.880589 | + | 0.178405i | ||||
\(186\) | −0.898337 | + | 8.22682i | −0.0658692 | + | 0.603220i | ||||
\(187\) | −13.1470 | + | 18.7759i | −0.961405 | + | 1.37303i | ||||
\(188\) | −2.01343 | − | 2.01343i | −0.146844 | − | 0.146844i | ||||
\(189\) | 5.07547 | − | 6.33627i | 0.369186 | − | 0.460896i | ||||
\(190\) | −13.8725 | − | 2.08491i | −1.00642 | − | 0.151255i | ||||
\(191\) | 0.438980 | − | 0.0774040i | 0.0317635 | − | 0.00560076i | −0.157744 | − | 0.987480i | \(-0.550422\pi\) |
0.189507 | + | 0.981879i | \(0.439311\pi\) | |||||||
\(192\) | 0.627248 | − | 1.61448i | 0.0452677 | − | 0.116515i | ||||
\(193\) | −6.00705 | + | 12.8822i | −0.432397 | + | 0.927279i | 0.562539 | + | 0.826771i | \(0.309825\pi\) |
−0.994936 | + | 0.100508i | \(0.967953\pi\) | |||||||
\(194\) | −8.80456 | − | 7.38791i | −0.632131 | − | 0.530421i | ||||
\(195\) | −13.0856 | + | 11.0664i | −0.937076 | + | 0.792484i | ||||
\(196\) | 4.28400 | + | 1.55925i | 0.306000 | + | 0.111375i | ||||
\(197\) | −21.7499 | − | 5.82786i | −1.54961 | − | 0.415218i | −0.620256 | − | 0.784400i | \(-0.712971\pi\) |
−0.929357 | + | 0.369182i | \(0.879638\pi\) | |||||||
\(198\) | −4.47035 | − | 10.7730i | −0.317694 | − | 0.765603i | ||||
\(199\) | −7.26346 | − | 4.19356i | −0.514893 | − | 0.297274i | 0.219950 | − | 0.975511i | \(-0.429411\pi\) |
−0.734843 | + | 0.678238i | \(0.762744\pi\) | |||||||
\(200\) | −1.88064 | + | 4.63284i | −0.132982 | + | 0.327591i | ||||
\(201\) | 13.3774 | + | 13.9653i | 0.943568 | + | 0.985037i | ||||
\(202\) | 2.80704 | − | 1.96551i | 0.197503 | − | 0.138293i | ||||
\(203\) | 4.79972 | − | 3.36080i | 0.336875 | − | 0.235882i | ||||
\(204\) | −7.06361 | − | 7.37405i | −0.494552 | − | 0.516287i | ||||
\(205\) | −3.00792 | − | 0.724752i | −0.210082 | − | 0.0506188i | ||||
\(206\) | −9.43170 | − | 5.44540i | −0.657138 | − | 0.379399i | ||||
\(207\) | 6.06728 | + | 0.794848i | 0.421705 | + | 0.0552457i | ||||
\(208\) | 4.27414 | + | 1.14525i | 0.296358 | + | 0.0794089i | ||||
\(209\) | 22.9203 | + | 8.34230i | 1.58543 | + | 0.577049i | ||||
\(210\) | 6.03008 | + | 0.504117i | 0.416115 | + | 0.0347874i | ||||
\(211\) | 20.5434 | + | 17.2380i | 1.41427 | + | 1.18671i | 0.954328 | + | 0.298760i | \(0.0965730\pi\) |
0.459938 | + | 0.887951i | \(0.347871\pi\) | |||||||
\(212\) | −2.74058 | + | 5.87719i | −0.188224 | + | 0.403647i | ||||
\(213\) | 10.0282 | − | 25.8119i | 0.687124 | − | 1.76860i | ||||
\(214\) | −0.637764 | + | 0.112455i | −0.0435967 | + | 0.00768727i | ||||
\(215\) | 2.82808 | − | 18.8174i | 0.192874 | − | 1.28334i | ||||
\(216\) | 5.09534 | − | 1.01858i | 0.346694 | − | 0.0693055i | ||||
\(217\) | 5.27862 | + | 5.27862i | 0.358336 | + | 0.358336i | ||||
\(218\) | −6.57449 | + | 9.38935i | −0.445281 | + | 0.635927i | ||||
\(219\) | 3.08469 | − | 28.2491i | 0.208444 | − | 1.90890i | ||||
\(220\) | 4.80427 | − | 7.24552i | 0.323904 | − | 0.488493i | ||||
\(221\) | 16.7685 | − | 19.9839i | 1.12797 | − | 1.34426i | ||||
\(222\) | −1.84379 | + | 9.28476i | −0.123747 | + | 0.623153i | ||||
\(223\) | 16.1417 | − | 7.52700i | 1.08093 | − | 0.504045i | 0.201214 | − | 0.979547i | \(-0.435511\pi\) |
0.879714 | + | 0.475502i | \(0.157734\pi\) | |||||||
\(224\) | −0.781196 | − | 1.35307i | −0.0521958 | − | 0.0904058i | ||||
\(225\) | −14.7516 | + | 2.71869i | −0.983438 | + | 0.181246i | ||||
\(226\) | −9.33871 | + | 16.1751i | −0.621202 | + | 1.07595i | ||||
\(227\) | 1.52205 | − | 17.3971i | 0.101022 | − | 1.15468i | −0.761327 | − | 0.648369i | \(-0.775452\pi\) |
0.862348 | − | 0.506315i | \(-0.168993\pi\) | |||||||
\(228\) | −5.63418 | + | 9.29150i | −0.373133 | + | 0.615344i | ||||
\(229\) | 18.9203 | + | 3.33615i | 1.25029 | + | 0.220459i | 0.759319 | − | 0.650718i | \(-0.225532\pi\) |
0.490968 | + | 0.871178i | \(0.336643\pi\) | |||||||
\(230\) | 2.03172 | + | 4.08340i | 0.133968 | + | 0.269251i | ||||
\(231\) | −10.1018 | − | 2.94092i | −0.664649 | − | 0.193498i | ||||
\(232\) | 3.73599 | + | 0.326857i | 0.245280 | + | 0.0214592i | ||||
\(233\) | −19.7401 | + | 5.28934i | −1.29322 | + | 0.346516i | −0.838881 | − | 0.544314i | \(-0.816790\pi\) |
−0.454336 | + | 0.890831i | \(0.650123\pi\) | |||||||
\(234\) | 3.99984 | + | 12.6578i | 0.261478 | + | 0.827466i | ||||
\(235\) | 5.92591 | − | 2.32866i | 0.386564 | − | 0.151905i | ||||
\(236\) | −0.127736 | + | 0.350951i | −0.00831489 | + | 0.0228450i | ||||
\(237\) | 0.291568 | + | 0.858037i | 0.0189394 | + | 0.0557355i | ||||
\(238\) | −9.17605 | + | 0.802800i | −0.594795 | + | 0.0520378i | ||||
\(239\) | 23.6154 | − | 8.59532i | 1.52756 | − | 0.555985i | 0.564534 | − | 0.825410i | \(-0.309056\pi\) |
0.963021 | + | 0.269425i | \(0.0868336\pi\) | |||||||
\(240\) | 2.74916 | + | 2.72802i | 0.177458 | + | 0.176093i | ||||
\(241\) | −2.72308 | − | 15.4433i | −0.175409 | − | 0.994793i | −0.937671 | − | 0.347525i | \(-0.887022\pi\) |
0.762262 | − | 0.647269i | \(-0.224089\pi\) | |||||||
\(242\) | −2.91025 | + | 2.91025i | −0.187078 | + | 0.187078i | ||||
\(243\) | 10.7975 | + | 11.2434i | 0.692660 | + | 0.721264i | ||||
\(244\) | 3.56042i | 0.227933i | ||||||||
\(245\) | −7.02322 | + | 7.38876i | −0.448697 | + | 0.472051i | ||||
\(246\) | −1.41652 | + | 1.93318i | −0.0903141 | + | 0.123255i | ||||
\(247\) | −25.1594 | − | 11.7320i | −1.60085 | − | 0.746491i | ||||
\(248\) | 0.416429 | + | 4.75981i | 0.0264433 | + | 0.302248i | ||||
\(249\) | 16.4363 | + | 8.09899i | 1.04161 | + | 0.513253i | ||||
\(250\) | −7.81673 | − | 7.99366i | −0.494374 | − | 0.505564i | ||||
\(251\) | 9.91357 | − | 5.72360i | 0.625739 | − | 0.361271i | −0.153361 | − | 0.988170i | \(-0.549010\pi\) |
0.779100 | + | 0.626900i | \(0.215676\pi\) | |||||||
\(252\) | 2.16165 | − | 4.15895i | 0.136171 | − | 0.261989i | ||||
\(253\) | −2.05248 | − | 7.65995i | −0.129038 | − | 0.481577i | ||||
\(254\) | 0.787596 | − | 0.660871i | 0.0494181 | − | 0.0414667i | ||||
\(255\) | 21.4259 | − | 7.89219i | 1.34174 | − | 0.494228i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −12.9554 | − | 18.5023i | −0.808138 | − | 1.15414i | −0.985447 | − | 0.169986i | \(-0.945628\pi\) |
0.177308 | − | 0.984155i | \(-0.443261\pi\) | |||||||
\(258\) | −12.6035 | − | 7.64251i | −0.784659 | − | 0.475802i | ||||
\(259\) | 5.48866 | + | 6.54113i | 0.341049 | + | 0.406446i | ||||
\(260\) | −6.16577 | + | 7.73838i | −0.382385 | + | 0.479914i | ||||
\(261\) | 5.20138 | + | 9.97627i | 0.321957 | + | 0.617516i | ||||
\(262\) | 3.34222 | − | 12.4733i | 0.206483 | − | 0.770605i | ||||
\(263\) | −8.69163 | − | 18.6393i | −0.535949 | − | 1.14935i | −0.968792 | − | 0.247876i | \(-0.920267\pi\) |
0.432843 | − | 0.901469i | \(-0.357510\pi\) | |||||||
\(264\) | −3.74301 | − | 5.59795i | −0.230366 | − | 0.344530i | ||||
\(265\) | −9.59931 | − | 10.8680i | −0.589681 | − | 0.667617i | ||||
\(266\) | 3.35244 | + | 9.21076i | 0.205551 | + | 0.564748i | ||||
\(267\) | 7.01669 | − | 5.63516i | 0.429415 | − | 0.344866i | ||||
\(268\) | 9.14598 | + | 6.40409i | 0.558680 | + | 0.391192i | ||||
\(269\) | 11.6572 | 0.710753 | 0.355376 | − | 0.934723i | \(-0.384353\pi\) | ||||
0.355376 | + | 0.934723i | \(0.384353\pi\) | |||||||
\(270\) | −2.46378 | + | 11.3547i | −0.149941 | + | 0.691027i | ||||
\(271\) | 17.8644 | 1.08519 | 0.542594 | − | 0.839995i | \(-0.317442\pi\) | ||||
0.542594 | + | 0.839995i | \(0.317442\pi\) | |||||||
\(272\) | −4.82932 | − | 3.38153i | −0.292821 | − | 0.205035i | ||||
\(273\) | 11.1616 | + | 4.33644i | 0.675534 | + | 0.262453i | ||||
\(274\) | 4.31377 | + | 11.8520i | 0.260604 | + | 0.716004i | ||||
\(275\) | 10.5607 | + | 16.3207i | 0.636834 | + | 0.984174i | ||||
\(276\) | 3.52524 | − | 0.232182i | 0.212194 | − | 0.0139757i | ||||
\(277\) | −2.98704 | − | 6.40573i | −0.179474 | − | 0.384883i | 0.795904 | − | 0.605423i | \(-0.206996\pi\) |
−0.975378 | + | 0.220540i | \(0.929218\pi\) | |||||||
\(278\) | 3.36973 | − | 12.5760i | 0.202103 | − | 0.754259i | ||||
\(279\) | −11.3664 | + | 8.73320i | −0.680486 | + | 0.522843i | ||||
\(280\) | 3.47148 | − | 0.392638i | 0.207461 | − | 0.0234646i | ||||
\(281\) | 8.48020 | + | 10.1063i | 0.505886 | + | 0.602892i | 0.957184 | − | 0.289482i | \(-0.0934830\pi\) |
−0.451297 | + | 0.892374i | \(0.649039\pi\) | |||||||
\(282\) | 0.106021 | − | 4.93074i | 0.00631345 | − | 0.293621i | ||||
\(283\) | −8.03308 | − | 11.4724i | −0.477517 | − | 0.681965i | 0.506051 | − | 0.862504i | \(-0.331105\pi\) |
−0.983568 | + | 0.180539i | \(0.942216\pi\) | |||||||
\(284\) | 2.77623 | − | 15.7448i | 0.164739 | − | 0.934282i | ||||
\(285\) | −14.0133 | − | 19.8496i | −0.830078 | − | 1.17579i | ||||
\(286\) | 13.1787 | − | 11.0583i | 0.779273 | − | 0.653888i | ||||
\(287\) | 0.559528 | + | 2.08819i | 0.0330279 | + | 0.123262i | ||||
\(288\) | 2.77091 | − | 1.14981i | 0.163277 | − | 0.0677533i | ||||
\(289\) | −15.3781 | + | 8.87855i | −0.904594 | + | 0.522267i | ||||
\(290\) | −4.00743 | + | 7.36634i | −0.235324 | + | 0.432566i | ||||
\(291\) | −1.30832 | − | 19.8644i | −0.0766951 | − | 1.16447i | ||||
\(292\) | −1.42993 | − | 16.3441i | −0.0836802 | − | 0.956469i | ||||
\(293\) | 6.76175 | + | 3.15306i | 0.395026 | + | 0.184204i | 0.609973 | − | 0.792422i | \(-0.291180\pi\) |
−0.214947 | + | 0.976626i | \(0.568958\pi\) | |||||||
\(294\) | 3.18251 | + | 7.22657i | 0.185608 | + | 0.421462i | ||||
\(295\) | −0.605298 | − | 0.575352i | −0.0352418 | − | 0.0334983i | ||||
\(296\) | 5.46524i | 0.317660i | ||||||||
\(297\) | 8.11868 | − | 18.4990i | 0.471094 | − | 1.07342i | ||||
\(298\) | 6.94414 | − | 6.94414i | 0.402263 | − | 0.402263i | ||||
\(299\) | 1.56727 | + | 8.88840i | 0.0906373 | + | 0.514030i | ||||
\(300\) | −8.04797 | + | 3.19846i | −0.464650 | + | 0.184663i | ||||
\(301\) | −12.4940 | + | 4.54744i | −0.720141 | + | 0.262110i | ||||
\(302\) | −12.4706 | + | 1.09103i | −0.717601 | + | 0.0627819i | ||||
\(303\) | 5.82166 | + | 1.15608i | 0.334446 | + | 0.0664148i | ||||
\(304\) | −2.14571 | + | 5.89530i | −0.123065 | + | 0.338119i | ||||
\(305\) | −7.29843 | − | 3.18058i | −0.417907 | − | 0.182119i | ||||
\(306\) | 0.760242 | − | 17.6702i | 0.0434601 | − | 1.01014i | ||||
\(307\) | 12.5922 | − | 3.37407i | 0.718675 | − | 0.192568i | 0.119095 | − | 0.992883i | \(-0.462001\pi\) |
0.599581 | + | 0.800314i | \(0.295334\pi\) | |||||||
\(308\) | −6.05129 | − | 0.529420i | −0.344804 | − | 0.0301665i | ||||
\(309\) | −4.48939 | − | 18.3214i | −0.255392 | − | 1.04227i | ||||
\(310\) | −10.1290 | − | 3.39837i | −0.575290 | − | 0.193015i | ||||
\(311\) | 5.02823 | + | 0.886612i | 0.285125 | + | 0.0502752i | 0.314381 | − | 0.949297i | \(-0.398203\pi\) |
−0.0292568 | + | 0.999572i | \(0.509314\pi\) | |||||||
\(312\) | 3.68852 | + | 6.71821i | 0.208821 | + | 0.380344i | ||||
\(313\) | −1.40713 | + | 16.0836i | −0.0795358 | + | 0.909098i | 0.846680 | + | 0.532103i | \(0.178598\pi\) |
−0.926215 | + | 0.376995i | \(0.876957\pi\) | |||||||
\(314\) | −3.26477 | + | 5.65475i | −0.184242 | + | 0.319116i | ||||
\(315\) | 6.59429 | + | 8.14636i | 0.371546 | + | 0.458996i | ||||
\(316\) | 0.261604 | + | 0.453111i | 0.0147164 | + | 0.0254895i | ||||
\(317\) | −2.75197 | + | 1.28326i | −0.154566 | + | 0.0720752i | −0.498362 | − | 0.866969i | \(-0.666065\pi\) |
0.343796 | + | 0.939044i | \(0.388287\pi\) | |||||||
\(318\) | −10.6347 | + | 3.61377i | −0.596365 | + | 0.202650i | ||||
\(319\) | 9.37225 | − | 11.1694i | 0.524745 | − | 0.625367i | ||||
\(320\) | 1.86361 | + | 1.23570i | 0.104179 | + | 0.0690777i | ||||
\(321\) | −0.904785 | − | 0.662973i | −0.0505002 | − | 0.0370036i | ||||
\(322\) | 1.82788 | − | 2.61049i | 0.101864 | − | 0.145477i | ||||
\(323\) | 26.1533 | + | 26.1533i | 1.45521 | + | 1.45521i | ||||
\(324\) | 7.37893 | + | 5.15281i | 0.409940 | + | 0.286267i | ||||
\(325\) | −10.3548 | − | 19.5519i | −0.574378 | − | 1.08454i | ||||
\(326\) | 0.375453 | − | 0.0662025i | 0.0207944 | − | 0.00366662i | ||||
\(327\) | −19.6212 | + | 3.02638i | −1.08506 | + | 0.167359i | ||||
\(328\) | −0.584769 | + | 1.25404i | −0.0322885 | + | 0.0692428i | ||||
\(329\) | −3.40797 | − | 2.85962i | −0.187887 | − | 0.157656i | ||||
\(330\) | 14.8188 | − | 2.67197i | 0.815747 | − | 0.147087i | ||||
\(331\) | 9.33402 | + | 3.39731i | 0.513044 | + | 0.186733i | 0.585552 | − | 0.810635i | \(-0.300878\pi\) |
−0.0725076 | + | 0.997368i | \(0.523100\pi\) | |||||||
\(332\) | 10.2185 | + | 2.73805i | 0.560814 | + | 0.150270i | ||||
\(333\) | −13.8224 | + | 8.81820i | −0.757463 | + | 0.483234i | ||||
\(334\) | 0.813034 | + | 0.469405i | 0.0444872 | + | 0.0256847i | ||||
\(335\) | −21.2978 | + | 13.0273i | −1.16362 | + | 0.711756i | ||||
\(336\) | 0.756431 | − | 2.59827i | 0.0412667 | − | 0.141747i | ||||
\(337\) | −0.144372 | + | 0.101090i | −0.00786443 | + | 0.00550673i | −0.577502 | − | 0.816389i | \(-0.695972\pi\) |
0.569638 | + | 0.821896i | \(0.307084\pi\) | |||||||
\(338\) | −5.38990 | + | 3.77405i | −0.293172 | + | 0.205281i | ||||
\(339\) | −31.4207 | + | 7.69918i | −1.70654 | + | 0.418162i | ||||
\(340\) | 11.2458 | − | 6.87875i | 0.609890 | − | 0.373052i | ||||
\(341\) | 16.0876 | + | 9.28816i | 0.871190 | + | 0.502982i | ||||
\(342\) | −18.3722 | + | 4.08528i | −0.993455 | + | 0.220907i | ||||
\(343\) | 17.4442 | + | 4.67416i | 0.941899 | + | 0.252381i | ||||
\(344\) | −7.99670 | − | 2.91056i | −0.431153 | − | 0.156927i | ||||
\(345\) | −2.67320 | + | 7.43371i | −0.143920 | + | 0.400217i | ||||
\(346\) | 15.6522 | + | 13.1338i | 0.841469 | + | 0.706077i | ||||
\(347\) | 6.58504 | − | 14.1217i | 0.353504 | − | 0.758091i | −0.646485 | − | 0.762927i | \(-0.723762\pi\) |
0.999988 | + | 0.00483614i | \(0.00153940\pi\) | |||||||
\(348\) | 4.06739 | + | 5.06456i | 0.218035 | + | 0.271489i | ||||
\(349\) | −32.9211 | + | 5.80488i | −1.76223 | + | 0.310728i | −0.958675 | − | 0.284504i | \(-0.908171\pi\) |
−0.803553 | + | 0.595233i | \(0.797060\pi\) | |||||||
\(350\) | −2.29626 | + | 7.46685i | −0.122740 | + | 0.399120i | ||||
\(351\) | −11.0399 | + | 20.1687i | −0.589267 | + | 1.07653i | ||||
\(352\) | −2.74916 | − | 2.74916i | −0.146530 | − | 0.146530i | ||||
\(353\) | 4.26777 | − | 6.09501i | 0.227151 | − | 0.324405i | −0.689357 | − | 0.724422i | \(-0.742107\pi\) |
0.916508 | + | 0.400017i | \(0.130996\pi\) | |||||||
\(354\) | −0.592011 | + | 0.260716i | −0.0314650 | + | 0.0138569i | ||||
\(355\) | 29.7948 | + | 19.7560i | 1.58135 | + | 1.04854i | ||||
\(356\) | 3.33980 | − | 3.98021i | 0.177009 | − | 0.210951i | ||||
\(357\) | −11.9983 | − | 10.5155i | −0.635016 | − | 0.556537i | ||||
\(358\) | −8.82544 | + | 4.11537i | −0.466439 | + | 0.217504i | ||||
\(359\) | −1.61308 | − | 2.79393i | −0.0851351 | − | 0.147458i | 0.820314 | − | 0.571914i | \(-0.193799\pi\) |
−0.905449 | + | 0.424456i | \(0.860466\pi\) | |||||||
\(360\) | −0.118318 | + | 6.70716i | −0.00623590 | + | 0.353498i | ||||
\(361\) | 10.1793 | − | 17.6311i | 0.535753 | − | 0.927952i | ||||
\(362\) | 0.608635 | − | 6.95673i | 0.0319891 | − | 0.365638i | ||||
\(363\) | −7.12697 | − | 0.153244i | −0.374069 | − | 0.00804324i | ||||
\(364\) | 6.80841 | + | 1.20051i | 0.356858 | + | 0.0629237i | ||||
\(365\) | 34.7808 | + | 11.6693i | 1.82051 | + | 0.610798i | ||||
\(366\) | −4.45334 | + | 4.26586i | −0.232780 | + | 0.222980i | ||||
\(367\) | −0.363713 | − | 0.0318207i | −0.0189856 | − | 0.00166103i | 0.0776590 | − | 0.996980i | \(-0.475255\pi\) |
−0.0966446 | + | 0.995319i | \(0.530811\pi\) | |||||||
\(368\) | 1.97021 | − | 0.527915i | 0.102704 | − | 0.0275195i | ||||
\(369\) | −4.11519 | + | 0.544436i | −0.214228 | + | 0.0283422i | ||||
\(370\) | −11.2031 | − | 4.88217i | −0.582419 | − | 0.253812i | ||||
\(371\) | −3.46525 | + | 9.52071i | −0.179907 | + | 0.494291i | ||||
\(372\) | −5.45458 | + | 6.22375i | −0.282807 | + | 0.322687i | ||||
\(373\) | −26.2687 | + | 2.29821i | −1.36014 | + | 0.118997i | −0.743757 | − | 0.668450i | \(-0.766958\pi\) |
−0.616383 | + | 0.787447i | \(0.711403\pi\) | |||||||
\(374\) | −21.5388 | + | 7.83949i | −1.11375 | + | 0.405370i | ||||
\(375\) | 0.632906 | − | 19.3546i | 0.0326831 | − | 0.999466i | ||||
\(376\) | −0.494449 | − | 2.80416i | −0.0254993 | − | 0.144614i | ||||
\(377\) | −11.7341 | + | 11.7341i | −0.604339 | + | 0.604339i | ||||
\(378\) | 7.79192 | − | 2.27920i | 0.400773 | − | 0.117230i | ||||
\(379\) | 16.5536i | 0.850304i | 0.905122 | + | 0.425152i | \(0.139779\pi\) | ||||
−0.905122 | + | 0.425152i | \(0.860221\pi\) | |||||||
\(380\) | −10.1678 | − | 9.66480i | −0.521599 | − | 0.495794i | ||||
\(381\) | 1.77026 | + | 0.193305i | 0.0906930 | + | 0.00990332i | ||||
\(382\) | 0.403989 | + | 0.188383i | 0.0206699 | + | 0.00963851i | ||||
\(383\) | −0.186347 | − | 2.12995i | −0.00952187 | − | 0.108835i | 0.989946 | − | 0.141443i | \(-0.0451743\pi\) |
−0.999468 | + | 0.0326079i | \(0.989619\pi\) | |||||||
\(384\) | 1.43984 | − | 0.962734i | 0.0734766 | − | 0.0491293i | ||||
\(385\) | 6.49095 | − | 11.9315i | 0.330809 | − | 0.608084i | ||||
\(386\) | −12.3096 | + | 7.10695i | −0.626542 | + | 0.361734i | ||||
\(387\) | −5.54149 | − | 24.9211i | −0.281690 | − | 1.26681i | ||||
\(388\) | −2.97475 | − | 11.1019i | −0.151020 | − | 0.563614i | ||||
\(389\) | −7.33460 | + | 6.15446i | −0.371879 | + | 0.312044i | −0.809504 | − | 0.587114i | \(-0.800264\pi\) |
0.437625 | + | 0.899157i | \(0.355820\pi\) | |||||||
\(390\) | −17.0665 | + | 1.55953i | −0.864196 | + | 0.0789699i | ||||
\(391\) | 2.08814 | − | 11.8424i | 0.105602 | − | 0.598897i | ||||
\(392\) | 2.61490 | + | 3.73446i | 0.132072 | + | 0.188619i | ||||
\(393\) | 19.6059 | − | 10.7643i | 0.988989 | − | 0.542987i | ||||
\(394\) | −14.4737 | − | 17.2491i | −0.729175 | − | 0.868997i | ||||
\(395\) | −1.16252 | + | 0.131485i | −0.0584925 | + | 0.00661573i | ||||
\(396\) | 2.51724 | − | 11.3888i | 0.126496 | − | 0.572309i | ||||
\(397\) | −3.65613 | + | 13.6449i | −0.183496 | + | 0.684816i | 0.811452 | + | 0.584420i | \(0.198678\pi\) |
−0.994947 | + | 0.100397i | \(0.967989\pi\) | |||||||
\(398\) | −3.54455 | − | 7.60132i | −0.177672 | − | 0.381020i | ||||
\(399\) | −7.50406 | + | 15.2289i | −0.375673 | + | 0.762400i | ||||
\(400\) | −4.19782 | + | 2.71630i | −0.209891 | + | 0.135815i | ||||
\(401\) | 1.52014 | + | 4.17655i | 0.0759121 | + | 0.208567i | 0.971844 | − | 0.235624i | \(-0.0757134\pi\) |
−0.895932 | + | 0.444191i | \(0.853491\pi\) | |||||||
\(402\) | 2.94794 | + | 19.1127i | 0.147030 | + | 0.953253i | ||||
\(403\) | −17.3187 | − | 12.1267i | −0.862704 | − | 0.604072i | ||||
\(404\) | 3.42677 | 0.170488 | ||||||||
\(405\) | −17.1543 | + | 10.5228i | −0.852405 | + | 0.522883i | ||||
\(406\) | 5.85938 | 0.290796 | ||||||||
\(407\) | 17.4055 | + | 12.1875i | 0.862761 | + | 0.604112i | ||||
\(408\) | −1.55659 | − | 10.0920i | −0.0770627 | − | 0.499628i | ||||
\(409\) | 8.69627 | + | 23.8928i | 0.430003 | + | 1.18142i | 0.945810 | + | 0.324719i | \(0.105270\pi\) |
−0.515807 | + | 0.856705i | \(0.672508\pi\) | |||||||
\(410\) | −2.04825 | − | 2.31896i | −0.101156 | − | 0.114525i | ||||
\(411\) | −9.65587 | + | 19.5959i | −0.476289 | + | 0.966593i | ||||
\(412\) | −4.60265 | − | 9.87041i | −0.226756 | − | 0.486280i | ||||
\(413\) | −0.151024 | + | 0.563630i | −0.00743142 | + | 0.0277344i | ||||
\(414\) | 4.51412 | + | 4.13115i | 0.221857 | + | 0.203035i | ||||
\(415\) | −14.7410 | + | 18.5008i | −0.723607 | + | 0.908167i | ||||
\(416\) | 2.84428 | + | 3.38968i | 0.139452 | + | 0.166193i | ||||
\(417\) | 19.7673 | − | 10.8529i | 0.968010 | − | 0.531469i | ||||
\(418\) | 13.9903 | + | 19.9802i | 0.684286 | + | 0.977261i | ||||
\(419\) | −0.127091 | + | 0.720768i | −0.00620879 | + | 0.0352118i | −0.987755 | − | 0.156015i | \(-0.950135\pi\) |
0.981546 | + | 0.191226i | \(0.0612464\pi\) | |||||||
\(420\) | 4.65040 | + | 3.87166i | 0.226916 | + | 0.188918i | ||||
\(421\) | 19.2502 | − | 16.1528i | 0.938197 | − | 0.787240i | −0.0390740 | − | 0.999236i | \(-0.512441\pi\) |
0.977271 | + | 0.211996i | \(0.0679964\pi\) | |||||||
\(422\) | 6.94088 | + | 25.9037i | 0.337877 | + | 1.26097i | ||||
\(423\) | 6.29434 | − | 5.77507i | 0.306042 | − | 0.280794i | ||||
\(424\) | −5.61596 | + | 3.24238i | −0.272735 | + | 0.157464i | ||||
\(425\) | 4.05454 | + | 29.1974i | 0.196674 | + | 1.41628i | ||||
\(426\) | 23.0197 | − | 15.3919i | 1.11531 | − | 0.745740i | ||||
\(427\) | 0.484828 | + | 5.54161i | 0.0234625 | + | 0.268177i | ||||
\(428\) | −0.586928 | − | 0.273689i | −0.0283702 | − | 0.0132292i | ||||
\(429\) | 29.6214 | + | 3.23454i | 1.43013 | + | 0.156165i | ||||
\(430\) | 13.1099 | − | 13.7922i | 0.632213 | − | 0.665119i | ||||
\(431\) | 19.3646i | 0.932761i | 0.884584 | + | 0.466380i | \(0.154442\pi\) | ||||
−0.884584 | + | 0.466380i | \(0.845558\pi\) | |||||||
\(432\) | 4.75809 | + | 2.08820i | 0.228924 | + | 0.100468i | ||||
\(433\) | −8.48728 | + | 8.48728i | −0.407873 | + | 0.407873i | −0.880996 | − | 0.473124i | \(-0.843126\pi\) |
0.473124 | + | 0.880996i | \(0.343126\pi\) | |||||||
\(434\) | 1.29630 | + | 7.35168i | 0.0622244 | + | 0.352892i | ||||
\(435\) | −14.0152 | + | 3.81340i | −0.671976 | + | 0.182839i | ||||
\(436\) | −10.7710 | + | 3.92033i | −0.515838 | + | 0.187750i | ||||
\(437\) | −12.7477 | + | 1.11528i | −0.609805 | + | 0.0533510i | ||||
\(438\) | 18.7299 | − | 21.3710i | 0.894947 | − | 1.02115i | ||||
\(439\) | −2.75400 | + | 7.56655i | −0.131441 | + | 0.361132i | −0.987902 | − | 0.155081i | \(-0.950436\pi\) |
0.856461 | + | 0.516212i | \(0.172659\pi\) | |||||||
\(440\) | 8.09129 | − | 3.17957i | 0.385737 | − | 0.151580i | ||||
\(441\) | −5.22585 | + | 12.6390i | −0.248850 | + | 0.601859i | ||||
\(442\) | 25.1982 | − | 6.75185i | 1.19856 | − | 0.321153i | ||||
\(443\) | −25.5666 | − | 2.23678i | −1.21470 | − | 0.106273i | −0.538268 | − | 0.842774i | \(-0.680921\pi\) |
−0.676436 | + | 0.736501i | \(0.736477\pi\) | |||||||
\(444\) | −6.83586 | + | 6.54808i | −0.324416 | + | 0.310758i | ||||
\(445\) | 5.17546 | + | 10.4017i | 0.245340 | + | 0.493090i | ||||
\(446\) | 17.5398 | + | 3.09274i | 0.830534 | + | 0.146446i | ||||
\(447\) | 17.0057 | + | 0.365656i | 0.804341 | + | 0.0172950i | ||||
\(448\) | 0.136171 | − | 1.55645i | 0.00643349 | − | 0.0735351i | ||||
\(449\) | −13.5285 | + | 23.4321i | −0.638451 | + | 1.10583i | 0.347322 | + | 0.937746i | \(0.387091\pi\) |
−0.985773 | + | 0.168083i | \(0.946242\pi\) | |||||||
\(450\) | −13.6432 | − | 6.23413i | −0.643144 | − | 0.293880i | ||||
\(451\) | 2.68980 | + | 4.65887i | 0.126658 | + | 0.219378i | ||||
\(452\) | −16.9275 | + | 7.89342i | −0.796202 | + | 0.371275i | ||||
\(453\) | −16.3061 | − | 14.2909i | −0.766126 | − | 0.671443i | ||||
\(454\) | 11.2253 | − | 13.3778i | 0.526831 | − | 0.627853i | ||||
\(455\) | −8.54294 | + | 12.8840i | −0.400499 | + | 0.604010i | ||||
\(456\) | −9.94463 | + | 4.37952i | −0.465700 | + | 0.205090i | ||||
\(457\) | −4.33114 | + | 6.18551i | −0.202602 | + | 0.289346i | −0.907576 | − | 0.419887i | \(-0.862070\pi\) |
0.704974 | + | 0.709233i | \(0.250959\pi\) | |||||||
\(458\) | 13.5850 | + | 13.5850i | 0.634787 | + | 0.634787i | ||||
\(459\) | 23.0126 | − | 20.2204i | 1.07414 | − | 0.943805i | ||||
\(460\) | −0.677851 | + | 4.51027i | −0.0316050 | + | 0.210292i | ||||
\(461\) | −33.9272 | + | 5.98229i | −1.58015 | + | 0.278623i | −0.893737 | − | 0.448591i | \(-0.851926\pi\) |
−0.686411 | + | 0.727214i | \(0.740815\pi\) | |||||||
\(462\) | −6.58806 | − | 8.20322i | −0.306505 | − | 0.381648i | ||||
\(463\) | 7.51251 | − | 16.1106i | 0.349136 | − | 0.748724i | −0.650809 | − | 0.759242i | \(-0.725570\pi\) |
0.999945 | + | 0.0105173i | \(0.00334783\pi\) | |||||||
\(464\) | 2.87287 | + | 2.41062i | 0.133370 | + | 0.111910i | ||||
\(465\) | −7.88526 | − | 16.7410i | −0.365670 | − | 0.776345i | ||||
\(466\) | −19.2040 | − | 6.98968i | −0.889608 | − | 0.323791i | ||||
\(467\) | −20.8284 | − | 5.58096i | −0.963825 | − | 0.258256i | −0.257606 | − | 0.966250i | \(-0.582934\pi\) |
−0.706219 | + | 0.707994i | \(0.749600\pi\) | |||||||
\(468\) | −3.98374 | + | 12.6629i | −0.184148 | + | 0.585342i | ||||
\(469\) | 15.1073 | + | 8.72219i | 0.697589 | + | 0.402753i | ||||
\(470\) | 6.18988 | + | 1.49144i | 0.285518 | + | 0.0687948i | ||||
\(471\) | −10.9845 | + | 2.69160i | −0.506141 | + | 0.124023i | ||||
\(472\) | −0.305932 | + | 0.214216i | −0.0140817 | + | 0.00986009i | ||||
\(473\) | −27.1022 | + | 18.9771i | −1.24616 | + | 0.872570i | ||||
\(474\) | −0.253311 | + | 0.870099i | −0.0116349 | + | 0.0399650i | ||||
\(475\) | 28.8947 | − | 12.2091i | 1.32578 | − | 0.560192i | ||||
\(476\) | −7.97705 | − | 4.60555i | −0.365627 | − | 0.211095i | ||||
\(477\) | −17.2619 | − | 8.97201i | −0.790366 | − | 0.410800i | ||||
\(478\) | 24.2747 | + | 6.50439i | 1.11030 | + | 0.297504i | ||||
\(479\) | −12.3636 | − | 4.49999i | −0.564908 | − | 0.205610i | 0.0437499 | − | 0.999043i | \(-0.486070\pi\) |
−0.608658 | + | 0.793433i | \(0.708292\pi\) | |||||||
\(480\) | 0.687254 | + | 3.81152i | 0.0313687 | + | 0.173971i | ||||
\(481\) | −18.5254 | − | 15.5447i | −0.844685 | − | 0.708775i | ||||
\(482\) | 6.62732 | − | 14.2123i | 0.301866 | − | 0.647355i | ||||
\(483\) | 5.45522 | − | 0.841415i | 0.248221 | − | 0.0382857i | ||||
\(484\) | −4.05318 | + | 0.714686i | −0.184236 | + | 0.0324857i | ||||
\(485\) | 25.4149 | + | 3.81962i | 1.15403 | + | 0.173440i | ||||
\(486\) | 2.39586 | + | 15.4032i | 0.108678 | + | 0.698705i | ||||
\(487\) | 16.9187 | + | 16.9187i | 0.766659 | + | 0.766659i | 0.977517 | − | 0.210858i | \(-0.0676258\pi\) |
−0.210858 | + | 0.977517i | \(0.567626\pi\) | |||||||
\(488\) | −2.04218 | + | 2.91653i | −0.0924450 | + | 0.132025i | ||||
\(489\) | 0.532648 | + | 0.390294i | 0.0240872 | + | 0.0176497i | ||||
\(490\) | −9.99110 | + | 2.02417i | −0.451352 | + | 0.0914427i | ||||
\(491\) | 16.0663 | − | 19.1471i | 0.725062 | − | 0.864095i | −0.270050 | − | 0.962846i | \(-0.587040\pi\) |
0.995112 | + | 0.0987510i | \(0.0314847\pi\) | |||||||
\(492\) | −2.26917 | + | 0.771085i | −0.102302 | + | 0.0347632i | ||||
\(493\) | 20.0382 | − | 9.34398i | 0.902476 | − | 0.420832i | ||||
\(494\) | −13.8802 | − | 24.0412i | −0.624498 | − | 1.08166i | ||||
\(495\) | 21.0969 | + | 15.3338i | 0.948237 | + | 0.689203i | ||||
\(496\) | −2.38900 | + | 4.13786i | −0.107269 | + | 0.185795i | ||||
\(497\) | 2.17707 | − | 24.8840i | 0.0976548 | − | 1.11620i | ||||
\(498\) | 8.81844 | + | 16.0618i | 0.395164 | + | 0.719745i | ||||
\(499\) | −27.5860 | − | 4.86416i | −1.23492 | − | 0.217750i | −0.482183 | − | 0.876070i | \(-0.660156\pi\) |
−0.752738 | + | 0.658321i | \(0.771267\pi\) | |||||||
\(500\) | −1.81812 | − | 11.0315i | −0.0813086 | − | 0.493345i | ||||
\(501\) | 0.386995 | + | 1.57935i | 0.0172897 | + | 0.0705599i | ||||
\(502\) | 11.4036 | + | 0.997690i | 0.508970 | + | 0.0445291i | ||||
\(503\) | 24.2555 | − | 6.49923i | 1.08150 | − | 0.289787i | 0.326289 | − | 0.945270i | \(-0.394202\pi\) |
0.755209 | + | 0.655484i | \(0.227535\pi\) | |||||||
\(504\) | 4.15620 | − | 2.16694i | 0.185132 | − | 0.0965231i | ||||
\(505\) | −3.06118 | + | 7.02445i | −0.136221 | + | 0.312584i | ||||
\(506\) | 2.71227 | − | 7.45191i | 0.120575 | − | 0.331278i | ||||
\(507\) | −11.1784 | − | 2.21982i | −0.496448 | − | 0.0985856i | ||||
\(508\) | 1.02422 | − | 0.0896077i | 0.0454424 | − | 0.00397570i | ||||
\(509\) | −7.58489 | + | 2.76067i | −0.336194 | + | 0.122365i | −0.504600 | − | 0.863353i | \(-0.668360\pi\) |
0.168406 | + | 0.985718i | \(0.446138\pi\) | |||||||
\(510\) | 22.0779 | + | 5.82450i | 0.977624 | + | 0.257913i | ||||
\(511\) | −4.45121 | − | 25.2441i | −0.196910 | − | 1.11673i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −27.1222 | − | 18.0851i | −1.19747 | − | 0.798476i | ||||
\(514\) | − | 22.5871i | − | 0.996275i | ||||||
\(515\) | 24.3447 | − | 0.617484i | 1.07276 | − | 0.0272096i | ||||
\(516\) | −5.94062 | − | 13.4894i | −0.261521 | − | 0.593840i | ||||
\(517\) | −10.0332 | − | 4.67858i | −0.441262 | − | 0.205764i | ||||
\(518\) | 0.744209 | + | 8.50634i | 0.0326986 | + | 0.373747i | ||||
\(519\) | 2.32586 | + | 35.3137i | 0.102094 | + | 1.55010i | ||||
\(520\) | −9.48925 | + | 2.80237i | −0.416131 | + | 0.122892i | ||||
\(521\) | 3.36177 | − | 1.94092i | 0.147282 | − | 0.0850331i | −0.424548 | − | 0.905405i | \(-0.639567\pi\) |
0.571830 | + | 0.820372i | \(0.306234\pi\) | |||||||
\(522\) | −1.46143 | + | 11.1555i | −0.0639651 | + | 0.488262i | ||||
\(523\) | −3.43858 | − | 12.8330i | −0.150359 | − | 0.561146i | −0.999458 | − | 0.0329132i | \(-0.989522\pi\) |
0.849100 | − | 0.528233i | \(-0.177145\pi\) | |||||||
\(524\) | 9.89219 | − | 8.30054i | 0.432142 | − | 0.362611i | ||||
\(525\) | −12.0907 | + | 6.07414i | −0.527681 | + | 0.265097i | ||||
\(526\) | 3.57127 | − | 20.2537i | 0.155715 | − | 0.883103i | ||||
\(527\) | 16.1569 | + | 23.0745i | 0.703806 | + | 1.00514i | ||||
\(528\) | 0.144762 | − | 6.73247i | 0.00629995 | − | 0.292993i | ||||
\(529\) | −12.1099 | − | 14.4320i | −0.526516 | − | 0.627477i | ||||
\(530\) | −1.62966 | − | 14.4085i | −0.0707877 | − | 0.625865i | ||||
\(531\) | −1.03541 | − | 0.428109i | −0.0449329 | − | 0.0185784i | ||||
\(532\) | −2.53692 | + | 9.46790i | −0.109989 | + | 0.410485i | ||||
\(533\) | −2.58755 | − | 5.54902i | −0.112079 | − | 0.240355i | ||||
\(534\) | 8.97993 | − | 0.591443i | 0.388600 | − | 0.0255942i | ||||
\(535\) | 1.08534 | − | 0.958639i | 0.0469233 | − | 0.0414456i | ||||
\(536\) | 3.81872 | + | 10.4918i | 0.164943 | + | 0.453179i | ||||
\(537\) | −15.7215 | − | 6.10801i | −0.678433 | − | 0.263580i | ||||
\(538\) | 9.54903 | + | 6.68630i | 0.411688 | + | 0.288267i | ||||
\(539\) | 17.7246 | 0.763455 | ||||||||
\(540\) | −8.53101 | + | 7.88808i | −0.367116 | + | 0.339449i | ||||
\(541\) | 1.30831 | 0.0562486 | 0.0281243 | − | 0.999604i | \(-0.491047\pi\) | ||||
0.0281243 | + | 0.999604i | \(0.491047\pi\) | |||||||
\(542\) | 14.6337 | + | 10.2466i | 0.628571 | + | 0.440130i | ||||
\(543\) | 9.43063 | − | 7.57381i | 0.404707 | − | 0.325023i | ||||
\(544\) | −2.01638 | − | 5.53997i | −0.0864518 | − | 0.237524i | ||||
\(545\) | 1.58571 | − | 25.5813i | 0.0679243 | − | 1.09578i | ||||
\(546\) | 6.65580 | + | 9.95426i | 0.284842 | + | 0.426003i | ||||
\(547\) | 8.95620 | + | 19.2066i | 0.382939 | + | 0.821216i | 0.999427 | + | 0.0338514i | \(0.0107773\pi\) |
−0.616488 | + | 0.787365i | \(0.711445\pi\) | |||||||
\(548\) | −3.26439 | + | 12.1829i | −0.139448 | + | 0.520426i | ||||
\(549\) | −10.6714 | − | 0.459126i | −0.455444 | − | 0.0195950i | ||||
\(550\) | −0.710335 | + | 19.4265i | −0.0302888 | + | 0.828348i | ||||
\(551\) | −15.1234 | − | 18.0234i | −0.644278 | − | 0.767821i | ||||
\(552\) | 3.02088 | + | 1.83180i | 0.128577 | + | 0.0779666i | ||||
\(553\) | 0.468873 | + | 0.669620i | 0.0199385 | + | 0.0284751i | ||||
\(554\) | 1.22733 | − | 6.96056i | 0.0521445 | − | 0.295726i | ||||
\(555\) | −7.31618 | − | 19.8622i | −0.310555 | − | 0.843102i | ||||
\(556\) | 9.97362 | − | 8.36886i | 0.422976 | − | 0.354919i | ||||
\(557\) | −3.35860 | − | 12.5345i | −0.142308 | − | 0.531102i | −0.999860 | − | 0.0167050i | \(-0.994682\pi\) |
0.857552 | − | 0.514397i | \(-0.171984\pi\) | |||||||
\(558\) | −14.3199 | + | 0.634344i | −0.606211 | + | 0.0268539i | ||||
\(559\) | 32.6107 | − | 18.8278i | 1.37929 | − | 0.796332i | ||||
\(560\) | 3.06888 | + | 1.66953i | 0.129684 | + | 0.0705505i | ||||
\(561\) | −35.6119 | − | 17.5478i | −1.50354 | − | 0.740868i | ||||
\(562\) | 1.14983 | + | 13.1426i | 0.0485028 | + | 0.554389i | ||||
\(563\) | −18.0138 | − | 8.39995i | −0.759189 | − | 0.354016i | 0.00416896 | − | 0.999991i | \(-0.498673\pi\) |
−0.763358 | + | 0.645976i | \(0.776451\pi\) | |||||||
\(564\) | 2.91500 | − | 3.97821i | 0.122744 | − | 0.167513i | ||||
\(565\) | −1.05897 | − | 41.7505i | −0.0445511 | − | 1.75646i | ||||
\(566\) | − | 14.0052i | − | 0.588684i | ||||||
\(567\) | 12.1866 | + | 7.01527i | 0.511788 | + | 0.294614i | ||||
\(568\) | 11.3050 | − | 11.3050i | 0.474348 | − | 0.474348i | ||||
\(569\) | −1.28177 | − | 7.26925i | −0.0537344 | − | 0.304743i | 0.946082 | − | 0.323929i | \(-0.105004\pi\) |
−0.999816 | + | 0.0191856i | \(0.993893\pi\) | |||||||
\(570\) | −0.0937895 | − | 24.2975i | −0.00392841 | − | 1.01771i | ||||
\(571\) | −37.7960 | + | 13.7566i | −1.58171 | + | 0.575697i | −0.975576 | − | 0.219662i | \(-0.929505\pi\) |
−0.606139 | + | 0.795359i | \(0.707282\pi\) | |||||||
\(572\) | 17.1381 | − | 1.49939i | 0.716581 | − | 0.0626927i | ||||
\(573\) | 0.248405 | + | 0.731013i | 0.0103773 | + | 0.0305385i | ||||
\(574\) | −0.739397 | + | 2.03148i | −0.0308618 | + | 0.0847922i | ||||
\(575\) | −8.63996 | − | 5.41860i | −0.360311 | − | 0.225971i | ||||
\(576\) | 2.92930 | + | 0.647457i | 0.122054 | + | 0.0269774i | ||||
\(577\) | 0.416594 | − | 0.111626i | 0.0173430 | − | 0.00464706i | −0.250137 | − | 0.968210i | \(-0.580476\pi\) |
0.267480 | + | 0.963563i | \(0.413809\pi\) | |||||||
\(578\) | −17.6895 | − | 1.54763i | −0.735787 | − | 0.0643730i | ||||
\(579\) | −23.6378 | − | 6.88165i | −0.982355 | − | 0.285992i | ||||
\(580\) | −7.50785 | + | 3.73558i | −0.311747 | + | 0.155112i | ||||
\(581\) | 16.2774 | + | 2.87015i | 0.675301 | + | 0.119074i | ||||
\(582\) | 10.3220 | − | 17.0224i | 0.427861 | − | 0.705599i | ||||
\(583\) | −2.19737 | + | 25.1161i | −0.0910059 | + | 1.04020i | ||||
\(584\) | 8.20329 | − | 14.2085i | 0.339454 | − | 0.587952i | ||||
\(585\) | −22.3986 | − | 19.4781i | −0.926068 | − | 0.805320i | ||||
\(586\) | 3.73038 | + | 6.46121i | 0.154101 | + | 0.266910i | ||||
\(587\) | 12.0432 | − | 5.61585i | 0.497077 | − | 0.231791i | −0.157878 | − | 0.987459i | \(-0.550465\pi\) |
0.654955 | + | 0.755668i | \(0.272688\pi\) | |||||||
\(588\) | −1.53803 | + | 7.74507i | −0.0634273 | + | 0.319401i | ||||
\(589\) | 19.2678 | − | 22.9625i | 0.793917 | − | 0.946153i | ||||
\(590\) | −0.165823 | − | 0.818485i | −0.00682682 | − | 0.0336965i | ||||
\(591\) | 4.23357 | − | 38.7703i | 0.174146 | − | 1.59480i | ||||
\(592\) | −3.13473 | + | 4.47686i | −0.128837 | + | 0.183998i | ||||
\(593\) | 24.5477 | + | 24.5477i | 1.00805 | + | 1.00805i | 0.999967 | + | 0.00808480i | \(0.00257350\pi\) |
0.00808480 | + | 0.999967i | \(0.497426\pi\) | |||||||
\(594\) | 17.2610 | − | 10.4968i | 0.708227 | − | 0.430688i | ||||
\(595\) | 16.5668 | − | 12.2378i | 0.679173 | − | 0.501699i | ||||
\(596\) | 9.67130 | − | 1.70531i | 0.396152 | − | 0.0698523i | ||||
\(597\) | 5.26081 | − | 13.5409i | 0.215310 | − | 0.554191i | ||||
\(598\) | −3.81435 | + | 8.17990i | −0.155980 | + | 0.334501i | ||||
\(599\) | −27.1482 | − | 22.7800i | −1.10925 | − | 0.930767i | −0.111234 | − | 0.993794i | \(-0.535480\pi\) |
−0.998012 | + | 0.0630269i | \(0.979925\pi\) | |||||||
\(600\) | −8.42708 | − | 1.99610i | −0.344034 | − | 0.0814903i | ||||
\(601\) | −11.9570 | − | 4.35198i | −0.487735 | − | 0.177521i | 0.0864344 | − | 0.996258i | \(-0.472453\pi\) |
−0.574169 | + | 0.818736i | \(0.694675\pi\) | |||||||
\(602\) | −12.8428 | − | 3.44121i | −0.523432 | − | 0.140253i | ||||
\(603\) | −20.3739 | + | 26.5868i | −0.829689 | + | 1.08270i | ||||
\(604\) | −10.8411 | − | 6.25910i | −0.441117 | − | 0.254679i | ||||
\(605\) | 2.15575 | − | 8.94696i | 0.0876436 | − | 0.363746i | ||||
\(606\) | 4.10573 | + | 4.28617i | 0.166784 | + | 0.174114i | ||||
\(607\) | −1.48576 | + | 1.04034i | −0.0603051 | + | 0.0422261i | −0.603340 | − | 0.797484i | \(-0.706164\pi\) |
0.543035 | + | 0.839710i | \(0.317275\pi\) | |||||||
\(608\) | −5.13907 | + | 3.59842i | −0.208417 | + | 0.145935i | ||||
\(609\) | 7.02032 | + | 7.32886i | 0.284478 | + | 0.296980i | ||||
\(610\) | −4.15422 | − | 6.79158i | −0.168199 | − | 0.274983i | ||||
\(611\) | 10.9116 | + | 6.29979i | 0.441434 | + | 0.254862i | ||||
\(612\) | 10.7580 | − | 14.0385i | 0.434865 | − | 0.567474i | ||||
\(613\) | 35.3202 | + | 9.46403i | 1.42657 | + | 0.382248i | 0.887810 | − | 0.460210i | \(-0.152226\pi\) |
0.538761 | + | 0.842459i | \(0.318893\pi\) | |||||||
\(614\) | 12.2502 | + | 4.45872i | 0.494379 | + | 0.179939i | ||||
\(615\) | 0.446455 | − | 5.34034i | 0.0180028 | − | 0.215343i | ||||
\(616\) | −4.65327 | − | 3.90455i | −0.187485 | − | 0.157319i | ||||
\(617\) | 8.47971 | − | 18.1848i | 0.341380 | − | 0.732092i | −0.658408 | − | 0.752661i | \(-0.728770\pi\) |
0.999788 | + | 0.0205687i | \(0.00654768\pi\) | |||||||
\(618\) | 6.83123 | − | 17.5830i | 0.274792 | − | 0.707293i | ||||
\(619\) | 19.6175 | − | 3.45910i | 0.788494 | − | 0.139033i | 0.235121 | − | 0.971966i | \(-0.424451\pi\) |
0.553373 | + | 0.832933i | \(0.313340\pi\) | |||||||
\(620\) | −6.34798 | − | 8.59355i | −0.254941 | − | 0.345125i | ||||
\(621\) | 0.241313 | + | 10.5959i | 0.00968357 | + | 0.425198i | ||||
\(622\) | 3.61034 | + | 3.61034i | 0.144762 | + | 0.144762i | ||||
\(623\) | 4.65622 | − | 6.64977i | 0.186547 | − | 0.266417i | ||||
\(624\) | −0.831953 | + | 7.61888i | −0.0333048 | + | 0.304999i | ||||
\(625\) | 24.2374 | + | 6.12770i | 0.969496 | + | 0.245108i | ||||
\(626\) | −10.3778 | + | 12.3678i | −0.414781 | + | 0.494317i | ||||
\(627\) | −8.22879 | + | 41.4378i | −0.328626 | + | 1.65486i | ||||
\(628\) | −5.91778 | + | 2.75951i | −0.236145 | + | 0.110116i | ||||
\(629\) | 16.1102 | + | 27.9037i | 0.642355 | + | 1.11259i | ||||
\(630\) | 0.729168 | + | 10.4554i | 0.0290507 | + | 0.416555i | ||||
\(631\) | −21.1525 | + | 36.6372i | −0.842067 | + | 1.45850i | 0.0460764 | + | 0.998938i | \(0.485328\pi\) |
−0.888144 | + | 0.459566i | \(0.848005\pi\) | |||||||
\(632\) | −0.0456006 | + | 0.521217i | −0.00181389 | + | 0.0207329i | ||||
\(633\) | −24.0840 | + | 39.7177i | −0.957254 | + | 1.57864i | ||||
\(634\) | −2.99033 | − | 0.527276i | −0.118761 | − | 0.0209408i | ||||
\(635\) | −0.731266 | + | 2.17957i | −0.0290194 | + | 0.0864937i | ||||
\(636\) | −10.7842 | − | 3.13959i | −0.427622 | − | 0.124493i | ||||
\(637\) | −20.0961 | − | 1.75818i | −0.796237 | − | 0.0696617i | ||||
\(638\) | 14.0838 | − | 3.77374i | 0.557583 | − | 0.149404i | ||||
\(639\) | 46.8328 | + | 10.3513i | 1.85268 | + | 0.409493i | ||||
\(640\) | 0.817813 | + | 2.08115i | 0.0323269 | + | 0.0822646i | ||||
\(641\) | 8.30099 | − | 22.8068i | 0.327870 | − | 0.900814i | −0.660781 | − | 0.750579i | \(-0.729775\pi\) |
0.988650 | − | 0.150235i | \(-0.0480031\pi\) | |||||||
\(642\) | −0.360890 | − | 1.06204i | −0.0142432 | − | 0.0419153i | ||||
\(643\) | −43.3659 | + | 3.79403i | −1.71019 | + | 0.149622i | −0.899808 | − | 0.436287i | \(-0.856293\pi\) |
−0.810377 | + | 0.585908i | \(0.800738\pi\) | |||||||
\(644\) | 2.99463 | − | 1.08996i | 0.118005 | − | 0.0429503i | ||||
\(645\) | 32.9585 | − | 0.127221i | 1.29774 | − | 0.00500933i | ||||
\(646\) | 6.42262 | + | 36.4245i | 0.252694 | + | 1.43310i | ||||
\(647\) | −10.3512 | + | 10.3512i | −0.406946 | + | 0.406946i | −0.880672 | − | 0.473726i | \(-0.842909\pi\) |
0.473726 | + | 0.880672i | \(0.342909\pi\) | |||||||
\(648\) | 3.08893 | + | 8.45331i | 0.121345 | + | 0.332077i | ||||
\(649\) | 1.45203i | 0.0569971i | ||||||||
\(650\) | 2.73237 | − | 21.9552i | 0.107172 | − | 0.861153i | ||||
\(651\) | −7.64227 | + | 10.4297i | −0.299524 | + | 0.408772i | ||||
\(652\) | 0.345525 | + | 0.161121i | 0.0135318 | + | 0.00630999i | ||||
\(653\) | −2.37668 | − | 27.1656i | −0.0930067 | − | 1.06307i | −0.889043 | − | 0.457823i | \(-0.848629\pi\) |
0.796037 | − | 0.605248i | \(-0.206926\pi\) | |||||||
\(654\) | −17.8086 | − | 8.77521i | −0.696373 | − | 0.343138i | ||||
\(655\) | 8.17824 | + | 27.6928i | 0.319550 | + | 1.08205i | ||||
\(656\) | −1.19830 | + | 0.691841i | −0.0467859 | + | 0.0270118i | ||||
\(657\) | 49.1715 | − | 2.17820i | 1.91836 | − | 0.0849796i | ||||
\(658\) | −1.15143 | − | 4.29720i | −0.0448874 | − | 0.167522i | ||||
\(659\) | 9.54667 | − | 8.01061i | 0.371886 | − | 0.312049i | −0.437621 | − | 0.899159i | \(-0.644179\pi\) |
0.809507 | + | 0.587110i | \(0.199735\pi\) | |||||||
\(660\) | 13.6714 | + | 6.31095i | 0.532159 | + | 0.245654i | ||||
\(661\) | −6.50367 | + | 36.8841i | −0.252963 | + | 1.43463i | 0.548284 | + | 0.836292i | \(0.315281\pi\) |
−0.801247 | + | 0.598334i | \(0.795830\pi\) | |||||||
\(662\) | 5.69737 | + | 8.13668i | 0.221434 | + | 0.316241i | ||||
\(663\) | 38.6360 | + | 23.4281i | 1.50050 | + | 0.909872i | ||||
\(664\) | 6.80005 | + | 8.10398i | 0.263893 | + | 0.314495i | ||||
\(665\) | −17.1418 | − | 13.6582i | −0.664729 | − | 0.529641i | ||||
\(666\) | −16.3806 | − | 0.704756i | −0.634734 | − | 0.0273087i | ||||
\(667\) | −1.97982 | + | 7.38879i | −0.0766590 | + | 0.286095i | ||||
\(668\) | 0.396759 | + | 0.850851i | 0.0153510 | + | 0.0329204i | ||||
\(669\) | 17.1467 | + | 25.6441i | 0.662928 | + | 0.991460i | ||||
\(670\) | −24.9183 | − | 1.54461i | −0.962677 | − | 0.0596734i | ||||
\(671\) | 4.73443 | + | 13.0077i | 0.182771 | + | 0.502158i | ||||
\(672\) | 2.10994 | − | 1.69451i | 0.0813926 | − | 0.0653671i | ||||
\(673\) | 28.7661 | + | 20.1422i | 1.10885 | + | 0.776426i | 0.976659 | − | 0.214798i | \(-0.0689092\pi\) |
0.132193 | + | 0.991224i | \(0.457798\pi\) | |||||||
\(674\) | −0.176245 | −0.00678872 | ||||||||
\(675\) | −8.54872 | − | 24.5340i | −0.329040 | − | 0.944316i | ||||
\(676\) | −6.57985 | −0.253071 | ||||||||
\(677\) | −26.2363 | − | 18.3709i | −1.00834 | − | 0.706050i | −0.0521060 | − | 0.998642i | \(-0.516593\pi\) |
−0.956237 | + | 0.292592i | \(0.905482\pi\) | |||||||
\(678\) | −30.1544 | − | 11.7154i | −1.15807 | − | 0.449926i | ||||
\(679\) | −6.14180 | − | 16.8744i | −0.235700 | − | 0.647582i | ||||
\(680\) | 13.1575 | + | 0.815594i | 0.504568 | + | 0.0312766i | ||||
\(681\) | 30.1823 | − | 1.98789i | 1.15659 | − | 0.0761761i | ||||
\(682\) | 7.85069 | + | 16.8359i | 0.300618 | + | 0.644678i | ||||
\(683\) | 10.1210 | − | 37.7720i | 0.387268 | − | 1.44531i | −0.447292 | − | 0.894388i | \(-0.647611\pi\) |
0.834560 | − | 0.550917i | \(-0.185722\pi\) | |||||||
\(684\) | −17.3929 | − | 7.19140i | −0.665032 | − | 0.274970i | ||||
\(685\) | −22.0572 | − | 17.5747i | −0.842763 | − | 0.671494i | ||||
\(686\) | 11.6085 | + | 13.8344i | 0.443214 | + | 0.528201i | ||||
\(687\) | −0.715345 | + | 33.2687i | −0.0272921 | + | 1.26928i | ||||
\(688\) | −4.88109 | − | 6.97091i | −0.186090 | − | 0.265764i | ||||
\(689\) | 4.98274 | − | 28.2585i | 0.189827 | − | 1.07656i | ||||
\(690\) | −6.45356 | + | 4.55605i | −0.245683 | + | 0.173446i | ||||
\(691\) | −37.2933 | + | 31.2928i | −1.41870 | + | 1.19043i | −0.466672 | + | 0.884431i | \(0.654547\pi\) |
−0.952031 | + | 0.306002i | \(0.901009\pi\) | |||||||
\(692\) | 5.28833 | + | 19.7363i | 0.201032 | + | 0.750262i | ||||
\(693\) | 2.36712 | − | 18.0688i | 0.0899195 | − | 0.686378i | ||||
\(694\) | 13.4940 | − | 7.79077i | 0.512225 | − | 0.295733i | ||||
\(695\) | 8.24556 | + | 27.9207i | 0.312772 | + | 1.05909i | ||||
\(696\) | 0.426896 | + | 6.48161i | 0.0161815 | + | 0.245685i | ||||
\(697\) | 0.710974 | + | 8.12647i | 0.0269301 | + | 0.307812i | ||||
\(698\) | −30.2970 | − | 14.1277i | −1.14676 | − | 0.534742i | ||||
\(699\) | −14.2663 | − | 32.3947i | −0.539602 | − | 1.22528i | ||||
\(700\) | −6.16380 | + | 4.79940i | −0.232970 | + | 0.181400i | ||||
\(701\) | 14.3799i | 0.543123i | 0.962421 | + | 0.271561i | \(0.0875400\pi\) | ||||
−0.962421 | + | 0.271561i | \(0.912460\pi\) | |||||||
\(702\) | −20.6117 | + | 10.1890i | −0.777937 | + | 0.384559i | ||||
\(703\) | 24.2445 | − | 24.2445i | 0.914400 | − | 0.914400i | ||||
\(704\) | −0.675125 | − | 3.82883i | −0.0254447 | − | 0.144304i | ||||
\(705\) | 5.55083 | + | 9.52918i | 0.209056 | + | 0.358890i | ||||
\(706\) | 6.99191 | − | 2.54485i | 0.263144 | − | 0.0957766i | ||||
\(707\) | 5.33358 | − | 0.466628i | 0.200590 | − | 0.0175493i | ||||
\(708\) | −0.634487 | − | 0.125998i | −0.0238455 | − | 0.00473528i | ||||
\(709\) | 11.4579 | − | 31.4804i | 0.430312 | − | 1.18227i | −0.515310 | − | 0.857004i | \(-0.672323\pi\) |
0.945622 | − | 0.325269i | \(-0.105455\pi\) | |||||||
\(710\) | 13.0749 | + | 33.2728i | 0.490694 | + | 1.24871i | ||||
\(711\) | −1.39181 | + | 0.725656i | −0.0521970 | + | 0.0272142i | ||||
\(712\) | 5.01876 | − | 1.34477i | 0.188086 | − | 0.0503975i | ||||
\(713\) | −9.70861 | − | 0.849394i | −0.363590 | − | 0.0318100i | ||||
\(714\) | −3.79699 | − | 15.4957i | −0.142099 | − | 0.579911i | ||||
\(715\) | −12.2362 | + | 36.4704i | −0.457606 | + | 1.36392i | ||||
\(716\) | −9.58985 | − | 1.69095i | −0.358390 | − | 0.0631938i | ||||
\(717\) | 20.9487 | + | 38.1557i | 0.782344 | + | 1.42495i | ||||
\(718\) | 0.281178 | − | 3.21388i | 0.0104935 | − | 0.119941i | ||||
\(719\) | −20.2318 | + | 35.0425i | −0.754519 | + | 1.30687i | 0.191094 | + | 0.981572i | \(0.438796\pi\) |
−0.945613 | + | 0.325293i | \(0.894537\pi\) | |||||||
\(720\) | −3.94399 | + | 5.42632i | −0.146984 | + | 0.202227i | ||||
\(721\) | −8.50784 | − | 14.7360i | −0.316848 | − | 0.548798i | ||||
\(722\) | 18.4512 | − | 8.60393i | 0.686682 | − | 0.320205i | ||||
\(723\) | 25.7171 | − | 8.73889i | 0.956429 | − | 0.325003i | ||||
\(724\) | 4.48878 | − | 5.34952i | 0.166824 | − | 0.198813i | ||||
\(725\) | −0.950612 | − | 18.7272i | −0.0353048 | − | 0.695511i | ||||
\(726\) | −5.75018 | − | 4.21339i | −0.213409 | − | 0.156374i | ||||
\(727\) | 9.28983 | − | 13.2673i | 0.344541 | − | 0.492055i | −0.609062 | − | 0.793123i | \(-0.708454\pi\) |
0.953603 | + | 0.301067i | \(0.0973428\pi\) | |||||||
\(728\) | 4.88854 | + | 4.88854i | 0.181181 | + | 0.181181i | ||||
\(729\) | −16.3957 | + | 21.4519i | −0.607247 | + | 0.794513i | ||||
\(730\) | 21.7976 | + | 29.5084i | 0.806764 | + | 1.09215i | ||||
\(731\) | −49.4081 | + | 8.71199i | −1.82743 | + | 0.322224i | ||||
\(732\) | −6.09477 | + | 0.940058i | −0.225269 | + | 0.0347455i | ||||
\(733\) | −5.05632 | + | 10.8433i | −0.186759 | + | 0.400507i | −0.977287 | − | 0.211919i | \(-0.932029\pi\) |
0.790528 | + | 0.612426i | \(0.209806\pi\) | |||||||
\(734\) | −0.279684 | − | 0.234683i | −0.0103233 | − | 0.00866231i | ||||
\(735\) | −14.5025 | − | 10.0715i | −0.534932 | − | 0.371495i | ||||
\(736\) | 1.91670 | + | 0.697621i | 0.0706504 | + | 0.0257146i | ||||
\(737\) | 41.9299 | + | 11.2351i | 1.54451 | + | 0.413850i | ||||
\(738\) | −3.68324 | − | 1.91440i | −0.135582 | − | 0.0704699i | ||||
\(739\) | 20.6962 | + | 11.9490i | 0.761323 | + | 0.439550i | 0.829771 | − | 0.558105i | \(-0.188471\pi\) |
−0.0684474 | + | 0.997655i | \(0.521805\pi\) | |||||||
\(740\) | −6.37671 | − | 10.4250i | −0.234412 | − | 0.383232i | ||||
\(741\) | 13.4401 | − | 46.1657i | 0.493736 | − | 1.69594i | ||||
\(742\) | −8.29942 | + | 5.81132i | −0.304681 | + | 0.213340i | ||||
\(743\) | −14.4545 | + | 10.1212i | −0.530285 | + | 0.371309i | −0.807841 | − | 0.589400i | \(-0.799364\pi\) |
0.277557 | + | 0.960709i | \(0.410475\pi\) | |||||||
\(744\) | −8.03793 | + | 1.96958i | −0.294685 | + | 0.0722082i | ||||
\(745\) | −5.14383 | + | 21.3483i | −0.188455 | + | 0.782143i | ||||
\(746\) | −22.8362 | − | 13.1845i | −0.836094 | − | 0.482719i | ||||
\(747\) | −9.52425 | + | 30.2742i | −0.348474 | + | 1.10767i | ||||
\(748\) | −22.1401 | − | 5.93242i | −0.809523 | − | 0.216911i | ||||
\(749\) | −0.950790 | − | 0.346059i | −0.0347411 | − | 0.0126447i | ||||
\(750\) | 11.6198 | − | 15.4913i | 0.424294 | − | 0.565663i | ||||
\(751\) | 11.2591 | + | 9.44749i | 0.410850 | + | 0.344744i | 0.824669 | − | 0.565615i | \(-0.191361\pi\) |
−0.413820 | + | 0.910359i | \(0.635806\pi\) | |||||||
\(752\) | 1.20337 | − | 2.58064i | 0.0438825 | − | 0.0941062i | ||||
\(753\) | 12.4152 | + | 15.4589i | 0.452435 | + | 0.563355i | ||||
\(754\) | −16.3425 | + | 2.88162i | −0.595158 | + | 0.104942i | ||||
\(755\) | 22.5149 | − | 16.6315i | 0.819400 | − | 0.605283i | ||||
\(756\) | 7.69006 | + | 2.60225i | 0.279685 | + | 0.0946429i | ||||
\(757\) | −28.4569 | − | 28.4569i | −1.03428 | − | 1.03428i | −0.999391 | − | 0.0348910i | \(-0.988892\pi\) |
−0.0348910 | − | 0.999391i | \(-0.511108\pi\) | |||||||
\(758\) | −9.49478 | + | 13.5600i | −0.344866 | + | 0.492520i | ||||
\(759\) | 12.5704 | − | 5.53590i | 0.456278 | − | 0.200940i | ||||
\(760\) | −2.78550 | − | 13.7490i | −0.101041 | − | 0.498727i | ||||
\(761\) | −9.69825 | + | 11.5579i | −0.351561 | + | 0.418974i | −0.912625 | − | 0.408798i | \(-0.865948\pi\) |
0.561063 | + | 0.827773i | \(0.310392\pi\) | |||||||
\(762\) | 1.33923 | + | 1.17372i | 0.0485153 | + | 0.0425195i | ||||
\(763\) | −16.2307 | + | 7.56849i | −0.587590 | + | 0.273998i | ||||
\(764\) | 0.222876 | + | 0.386033i | 0.00806337 | + | 0.0139662i | ||||
\(765\) | 19.1670 | + | 34.5933i | 0.692984 | + | 1.25072i | ||||
\(766\) | 1.06904 | − | 1.85164i | 0.0386261 | − | 0.0669024i | ||||
\(767\) | 0.144033 | − | 1.64630i | 0.00520072 | − | 0.0594445i | ||||
\(768\) | 1.73165 | + | 0.0372340i | 0.0624856 | + | 0.00134357i | ||||
\(769\) | −41.2399 | − | 7.27170i | −1.48715 | − | 0.262224i | −0.629718 | − | 0.776824i | \(-0.716829\pi\) |
−0.857431 | + | 0.514600i | \(0.827941\pi\) | |||||||
\(770\) | 12.1607 | − | 6.05063i | 0.438240 | − | 0.218049i | ||||
\(771\) | 28.2518 | − | 27.0624i | 1.01746 | − | 0.974628i | ||||
\(772\) | −14.1598 | − | 1.23882i | −0.509623 | − | 0.0445862i | ||||
\(773\) | −27.8483 | + | 7.46194i | −1.00163 | + | 0.268387i | −0.722130 | − | 0.691757i | \(-0.756837\pi\) |
−0.279505 | + | 0.960144i | \(0.590170\pi\) | |||||||
\(774\) | 9.75481 | − | 23.5926i | 0.350629 | − | 0.848019i | ||||
\(775\) | 23.2865 | − | 5.33583i | 0.836474 | − | 0.191669i | ||||
\(776\) | 3.93102 | − | 10.8004i | 0.141116 | − | 0.387712i | ||||
\(777\) | −9.74799 | + | 11.1226i | −0.349707 | + | 0.399020i | ||||
\(778\) | −9.53821 | + | 0.834485i | −0.341961 | + | 0.0299177i | ||||
\(779\) | 8.15721 | − | 2.96898i | 0.292262 | − | 0.106375i | ||||
\(780\) | −14.8746 | − | 8.51145i | −0.532595 | − | 0.304759i | ||||
\(781\) | −10.7937 | − | 61.2141i | −0.386229 | − | 2.19041i | ||||
\(782\) | 8.50304 | − | 8.50304i | 0.304068 | − | 0.304068i | ||||
\(783\) | −15.7041 | + | 11.5378i | −0.561220 | + | 0.412327i | ||||
\(784\) | 4.55893i | 0.162819i | ||||||||
\(785\) | −0.370211 | − | 14.5958i | −0.0132134 | − | 0.520947i | ||||
\(786\) | 22.2344 | + | 2.42791i | 0.793075 | + | 0.0866007i | ||||
\(787\) | 18.6694 | + | 8.70570i | 0.665493 | + | 0.310325i | 0.725851 | − | 0.687852i | \(-0.241446\pi\) |
−0.0603575 | + | 0.998177i | \(0.519224\pi\) | |||||||
\(788\) | −1.96250 | − | 22.4314i | −0.0699110 | − | 0.799086i | ||||
\(789\) | 29.6120 | − | 19.7997i | 1.05421 | − | 0.704888i | ||||
\(790\) | −1.02769 | − | 0.559086i | −0.0365637 | − | 0.0198914i | ||||
\(791\) | −25.2719 | + | 14.5907i | −0.898564 | + | 0.518786i | ||||
\(792\) | 8.59435 | − | 7.88533i | 0.305387 | − | 0.280193i | ||||
\(793\) | −4.07758 | − | 15.2177i | −0.144799 | − | 0.540398i | ||||
\(794\) | −10.8213 | + | 9.08015i | −0.384034 | + | 0.322242i | ||||
\(795\) | 16.0695 | − | 19.3017i | 0.569925 | − | 0.684559i | ||||
\(796\) | 1.45641 | − | 8.25971i | 0.0516210 | − | 0.292757i | ||||
\(797\) | −15.5551 | − | 22.2150i | −0.550991 | − | 0.786897i | 0.442981 | − | 0.896531i | \(-0.353921\pi\) |
−0.993972 | + | 0.109634i | \(0.965032\pi\) | |||||||
\(798\) | −14.8819 | + | 8.17065i | −0.526814 | + | 0.289238i | ||||
\(799\) | −10.7905 | − | 12.8596i | −0.381740 | − | 0.454940i | ||||
\(800\) | −4.99666 | − | 0.182704i | −0.176659 | − | 0.00645957i | ||||
\(801\) | 11.4989 | + | 10.5234i | 0.406295 | + | 0.371825i | ||||
\(802\) | −1.15034 | + | 4.29314i | −0.0406200 | + | 0.151596i | ||||
\(803\) | −26.9576 | − | 57.8107i | −0.951311 | − | 2.04009i | ||||
\(804\) | −8.54776 | + | 17.3470i | −0.301456 | + | 0.611783i | ||||
\(805\) | −0.440869 | + | 7.11229i | −0.0155386 | + | 0.250675i | ||||
\(806\) | −7.23105 | − | 19.8672i | −0.254703 | − | 0.699791i | ||||
\(807\) | 3.07785 | + | 19.9549i | 0.108345 | + | 0.702446i | ||||
\(808\) | 2.80704 | + | 1.96551i | 0.0987515 | + | 0.0691465i | ||||
\(809\) | −52.9046 | −1.86003 | −0.930013 | − | 0.367527i | \(-0.880205\pi\) | ||||
−0.930013 | + | 0.367527i | \(0.880205\pi\) | |||||||
\(810\) | −20.0876 | − | 1.21953i | −0.705807 | − | 0.0428499i | ||||
\(811\) | −10.0019 | −0.351214 | −0.175607 | − | 0.984460i | \(-0.556189\pi\) | ||||
−0.175607 | + | 0.984460i | \(0.556189\pi\) | |||||||
\(812\) | 4.79972 | + | 3.36080i | 0.168437 | + | 0.117941i | ||||
\(813\) | 4.71674 | + | 30.5805i | 0.165423 | + | 1.07251i | ||||
\(814\) | 7.26733 | + | 19.9668i | 0.254720 | + | 0.699837i | ||||
\(815\) | −0.638941 | + | 0.564352i | −0.0223811 | + | 0.0197684i | ||||
\(816\) | 4.51344 | − | 9.15970i | 0.158002 | − | 0.320654i | ||||
\(817\) | 22.5628 | + | 48.3861i | 0.789373 | + | 1.69282i | ||||
\(818\) | −6.58079 | + | 24.5598i | −0.230092 | + | 0.858714i | ||||
\(819\) | −4.47615 | + | 20.2516i | −0.156409 | + | 0.707647i | ||||
\(820\) | −0.347727 | − | 3.07440i | −0.0121431 | − | 0.107363i | ||||
\(821\) | 33.8597 | + | 40.3524i | 1.18171 | + | 1.40831i | 0.892503 | + | 0.451042i | \(0.148948\pi\) |
0.289208 | + | 0.957266i | \(0.406608\pi\) | |||||||
\(822\) | −19.1494 | + | 10.5136i | −0.667911 | + | 0.366705i | ||||
\(823\) | −11.0938 | − | 15.8435i | −0.386704 | − | 0.552270i | 0.577855 | − | 0.816140i | \(-0.303890\pi\) |
−0.964558 | + | 0.263869i | \(0.915001\pi\) | |||||||
\(824\) | 1.89117 | − | 10.7253i | 0.0658819 | − | 0.373635i | ||||
\(825\) | −25.1495 | + | 22.3870i | −0.875594 | + | 0.779417i | ||||
\(826\) | −0.446997 | + | 0.375075i | −0.0155530 | + | 0.0130505i | ||||
\(827\) | −6.96777 | − | 26.0041i | −0.242293 | − | 0.904251i | −0.974725 | − | 0.223410i | \(-0.928281\pi\) |
0.732431 | − | 0.680841i | \(-0.238385\pi\) | |||||||
\(828\) | 1.32822 | + | 5.97323i | 0.0461588 | + | 0.207584i | ||||
\(829\) | −33.2785 | + | 19.2134i | −1.15581 | + | 0.667307i | −0.950296 | − | 0.311347i | \(-0.899220\pi\) |
−0.205514 | + | 0.978654i | \(0.565887\pi\) | |||||||
\(830\) | −22.6867 | + | 6.69986i | −0.787468 | + | 0.232555i | ||||
\(831\) | 10.1767 | − | 6.80454i | 0.353026 | − | 0.236047i | ||||
\(832\) | 0.385657 | + | 4.40807i | 0.0133702 | + | 0.152822i | ||||
\(833\) | 24.3591 | + | 11.3588i | 0.843992 | + | 0.393560i | ||||
\(834\) | 22.4174 | + | 2.44790i | 0.776252 | + | 0.0847637i | ||||
\(835\) | −2.09857 | + | 0.0532285i | −0.0726240 | + | 0.00184205i | ||||
\(836\) | 24.3913i | 0.843589i | ||||||||
\(837\) | −17.9506 | − | 17.1512i | −0.620464 | − | 0.592832i | ||||
\(838\) | −0.517522 | + | 0.517522i | −0.0178775 | + | 0.0178775i | ||||
\(839\) | 2.60363 | + | 14.7659i | 0.0898874 | + | 0.509777i | 0.996195 | + | 0.0871571i | \(0.0277782\pi\) |
−0.906307 | + | 0.422619i | \(0.861111\pi\) | |||||||
\(840\) | 1.58869 | + | 5.83884i | 0.0548151 | + | 0.201459i | ||||
\(841\) | 14.0348 | − | 5.10825i | 0.483958 | − | 0.176146i | ||||
\(842\) | 25.0337 | − | 2.19017i | 0.862718 | − | 0.0754781i | ||||
\(843\) | −15.0610 | + | 17.1848i | −0.518730 | + | 0.591877i | ||||
\(844\) | −9.17213 | + | 25.2002i | −0.315718 | + | 0.867427i | ||||
\(845\) | 5.87787 | − | 13.4879i | 0.202205 | − | 0.463997i | ||||
\(846\) | 8.46847 | − | 1.12037i | 0.291152 | − | 0.0385192i | ||||
\(847\) | −6.21124 | + | 1.66430i | −0.213421 | + | 0.0571859i | ||||
\(848\) | −6.46008 | − | 0.565184i | −0.221840 | − | 0.0194085i | ||||
\(849\) | 17.5176 | − | 16.7802i | 0.601203 | − | 0.575893i | ||||
\(850\) | −13.4257 | + | 26.2427i | −0.460496 | + | 0.900117i | ||||
\(851\) | −10.9781 | − | 1.93574i | −0.376325 | − | 0.0663563i | ||||
\(852\) | 27.6851 | + | 0.595286i | 0.948476 | + | 0.0203942i | ||||
\(853\) | 1.72358 | − | 19.7006i | 0.0590141 | − | 0.674534i | −0.907859 | − | 0.419276i | \(-0.862284\pi\) |
0.966873 | − | 0.255258i | \(-0.0821605\pi\) | |||||||
\(854\) | −2.78139 | + | 4.81751i | −0.0951771 | + | 0.164852i | ||||
\(855\) | 30.2788 | − | 29.2290i | 1.03551 | − | 0.999611i | ||||
\(856\) | −0.323801 | − | 0.560841i | −0.0110673 | − | 0.0191691i | ||||
\(857\) | −0.772751 | + | 0.360340i | −0.0263967 | + | 0.0123090i | −0.435772 | − | 0.900057i | \(-0.643525\pi\) |
0.409375 | + | 0.912366i | \(0.365747\pi\) | |||||||
\(858\) | 22.4092 | + | 19.6397i | 0.765037 | + | 0.670489i | ||||
\(859\) | 26.5451 | − | 31.6352i | 0.905706 | − | 1.07938i | −0.0908011 | − | 0.995869i | \(-0.528943\pi\) |
0.996507 | − | 0.0835093i | \(-0.0266128\pi\) | |||||||
\(860\) | 18.6498 | − | 3.77841i | 0.635955 | − | 0.128843i | ||||
\(861\) | −3.42685 | + | 1.50915i | −0.116787 | + | 0.0514317i | ||||
\(862\) | −11.1071 | + | 15.8626i | −0.378309 | + | 0.540281i | ||||
\(863\) | −24.2423 | − | 24.2423i | −0.825216 | − | 0.825216i | 0.161635 | − | 0.986851i | \(-0.448323\pi\) |
−0.986851 | + | 0.161635i | \(0.948323\pi\) | |||||||
\(864\) | 2.69986 | + | 4.43968i | 0.0918511 | + | 0.151041i | ||||
\(865\) | −45.1811 | − | 6.79030i | −1.53620 | − | 0.230877i | ||||
\(866\) | −11.8205 | + | 2.08427i | −0.401676 | + | 0.0708263i | ||||
\(867\) | −19.2586 | − | 23.9802i | −0.654058 | − | 0.814409i | ||||
\(868\) | −3.15488 | + | 6.76567i | −0.107084 | + | 0.229642i | ||||
\(869\) | 1.55827 | + | 1.30754i | 0.0528607 | + | 0.0443554i | ||||
\(870\) | −13.6678 | − | 4.91502i | −0.463383 | − | 0.166635i | ||||
\(871\) | −46.4255 | − | 16.8975i | −1.57307 | − | 0.572550i | ||||
\(872\) | −11.0717 | − | 2.96666i | −0.374935 | − | 0.100464i | ||||
\(873\) | 33.6585 | − | 7.48438i | 1.13917 | − | 0.253308i | ||||
\(874\) | −11.0820 | − | 6.39820i | −0.374854 | − | 0.216422i | ||||
\(875\) | −4.33198 | − | 16.9224i | −0.146448 | − | 0.572081i | ||||
\(876\) | 27.6005 | − | 6.76310i | 0.932534 | − | 0.228504i | ||||
\(877\) | 29.9276 | − | 20.9556i | 1.01058 | − | 0.707619i | 0.0538402 | − | 0.998550i | \(-0.482854\pi\) |
0.956744 | + | 0.290931i | \(0.0939650\pi\) | |||||||
\(878\) | −6.59594 | + | 4.61853i | −0.222602 | + | 0.155868i | ||||
\(879\) | −3.61213 | + | 12.4073i | −0.121834 | + | 0.418489i | ||||
\(880\) | 8.45172 | + | 2.03642i | 0.284907 | + | 0.0686477i | ||||
\(881\) | 10.1181 | + | 5.84170i | 0.340888 | + | 0.196812i | 0.660665 | − | 0.750681i | \(-0.270274\pi\) |
−0.319776 | + | 0.947493i | \(0.603608\pi\) | |||||||
\(882\) | −11.5302 | + | 7.35587i | −0.388243 | + | 0.247685i | ||||
\(883\) | 6.92551 | + | 1.85568i | 0.233062 | + | 0.0624488i | 0.373460 | − | 0.927646i | \(-0.378171\pi\) |
−0.140398 | + | 0.990095i | \(0.544838\pi\) | |||||||
\(884\) | 24.5139 | + | 8.92233i | 0.824491 | + | 0.300090i | ||||
\(885\) | 0.825075 | − | 1.18806i | 0.0277346 | − | 0.0399363i | ||||
\(886\) | −19.6599 | − | 16.4966i | −0.660488 | − | 0.554216i | ||||
\(887\) | −21.9734 | + | 47.1222i | −0.737796 | + | 1.58221i | 0.0733106 | + | 0.997309i | \(0.476644\pi\) |
−0.811106 | + | 0.584899i | \(0.801134\pi\) | |||||||
\(888\) | −9.35544 | + | 1.44298i | −0.313948 | + | 0.0484234i | ||||
\(889\) | 1.58194 | − | 0.278939i | 0.0530566 | − | 0.00935531i | ||||
\(890\) | −1.72671 | + | 11.4891i | −0.0578794 | + | 0.385117i | ||||
\(891\) | 33.8102 | + | 9.01336i | 1.13269 | + | 0.301959i | ||||
\(892\) | 12.5938 | + | 12.5938i | 0.421673 | + | 0.421673i | ||||
\(893\) | −10.2462 | + | 14.6331i | −0.342876 | + | 0.489678i | ||||
\(894\) | 13.7205 | + | 10.0536i | 0.458882 | + | 0.336242i | ||||
\(895\) | 12.0330 | − | 18.1475i | 0.402218 | − | 0.606603i | ||||
\(896\) | 1.00429 | − | 1.19686i | 0.0335508 | − | 0.0399843i | ||||
\(897\) | −14.8014 | + | 5.02966i | −0.494206 | + | 0.167935i | ||||
\(898\) | −24.5220 | + | 11.4348i | −0.818310 | + | 0.381584i | ||||
\(899\) | −8.95936 | − | 15.5181i | −0.298812 | − | 0.517557i | ||||
\(900\) | −7.60006 | − | 12.9321i | −0.253335 | − | 0.431070i | ||||
\(901\) | −19.1155 | + | 33.1090i | −0.636829 | + | 1.10302i | ||||
\(902\) | −0.468863 | + | 5.35913i | −0.0156114 | + | 0.178440i | ||||
\(903\) | −11.0831 | − | 20.1866i | −0.368823 | − | 0.671769i | ||||
\(904\) | −18.3937 | − | 3.24330i | −0.611764 | − | 0.107871i | ||||
\(905\) | 6.95596 | + | 13.9802i | 0.231224 | + | 0.464719i | ||||
\(906\) | −5.16024 | − | 21.0592i | −0.171438 | − | 0.699644i | ||||
\(907\) | 14.0366 | + | 1.22804i | 0.466076 | + | 0.0407764i | 0.317776 | − | 0.948166i | \(-0.397064\pi\) |
0.148301 | + | 0.988942i | \(0.452620\pi\) | |||||||
\(908\) | 16.8685 | − | 4.51989i | 0.559800 | − | 0.149998i | ||||
\(909\) | −0.441891 | + | 10.2708i | −0.0146566 | + | 0.340661i | ||||
\(910\) | −14.3879 | + | 5.65390i | −0.476954 | + | 0.187425i | ||||
\(911\) | −8.17424 | + | 22.4585i | −0.270825 | + | 0.744085i | 0.727494 | + | 0.686114i | \(0.240685\pi\) |
−0.998318 | + | 0.0579702i | \(0.981537\pi\) | |||||||
\(912\) | −10.6582 | − | 2.11652i | −0.352927 | − | 0.0700849i | ||||
\(913\) | 40.9735 | − | 3.58472i | 1.35602 | − | 0.118637i | ||||
\(914\) | −7.09572 | + | 2.58263i | −0.234706 | + | 0.0854259i | ||||
\(915\) | 3.51754 | − | 13.3333i | 0.116286 | − | 0.440785i | ||||
\(916\) | 3.33615 | + | 18.9203i | 0.110230 | + | 0.625143i | ||||
\(917\) | 14.2664 | − | 14.2664i | 0.471117 | − | 0.471117i | ||||
\(918\) | 30.4487 | − | 3.36407i | 1.00496 | − | 0.111031i | ||||
\(919\) | − | 4.44773i | − | 0.146717i | −0.997306 | − | 0.0733585i | \(-0.976628\pi\) | ||
0.997306 | − | 0.0733585i | \(-0.0233717\pi\) | |||||||
\(920\) | −3.14225 | + | 3.30580i | −0.103597 | + | 0.108989i | ||||
\(921\) | 9.10048 | + | 20.6646i | 0.299871 | + | 0.680922i | ||||
\(922\) | −31.2229 | − | 14.5595i | −1.02827 | − | 0.479490i | ||||
\(923\) | 6.16576 | + | 70.4749i | 0.202948 | + | 2.31971i | ||||
\(924\) | −0.691456 | − | 10.4984i | −0.0227472 | − | 0.345373i | ||||
\(925\) | 27.0665 | − | 3.75862i | 0.889939 | − | 0.123583i | ||||
\(926\) | 15.3946 | − | 8.88806i | 0.505897 | − | 0.292080i | ||||
\(927\) | 30.1774 | − | 12.5224i | 0.991155 | − | 0.411288i | ||||
\(928\) | 0.970640 | + | 3.62248i | 0.0318628 | + | 0.118914i | ||||
\(929\) | 16.6983 | − | 14.0115i | 0.547852 | − | 0.459702i | −0.326361 | − | 0.945245i | \(-0.605822\pi\) |
0.874213 | + | 0.485543i | \(0.161378\pi\) | |||||||
\(930\) | 3.14300 | − | 18.2362i | 0.103063 | − | 0.597989i | ||||
\(931\) | 4.96653 | − | 28.1666i | 0.162772 | − | 0.923124i | ||||
\(932\) | −11.7219 | − | 16.7406i | −0.383963 | − | 0.548355i | ||||
\(933\) | −0.190109 | + | 8.84145i | −0.00622389 | + | 0.289456i | ||||
\(934\) | −13.8605 | − | 16.5184i | −0.453531 | − | 0.540497i | ||||
\(935\) | 31.9388 | − | 40.0850i | 1.04451 | − | 1.31092i | ||||
\(936\) | −10.5264 | + | 8.08784i | −0.344067 | + | 0.264359i | ||||
\(937\) | −5.87777 | + | 21.9361i | −0.192018 | + | 0.716622i | 0.801000 | + | 0.598664i | \(0.204302\pi\) |
−0.993019 | + | 0.117958i | \(0.962365\pi\) | |||||||
\(938\) | 7.37232 | + | 15.8100i | 0.240715 | + | 0.516214i | ||||
\(939\) | −27.9035 | + | 1.83780i | −0.910598 | + | 0.0599744i | ||||
\(940\) | 4.21500 | + | 4.77208i | 0.137478 | + | 0.155648i | ||||
\(941\) | −3.14060 | − | 8.62873i | −0.102381 | − | 0.281289i | 0.877918 | − | 0.478812i | \(-0.158932\pi\) |
−0.980298 | + | 0.197523i | \(0.936710\pi\) | |||||||
\(942\) | −10.5419 | − | 4.09564i | −0.343472 | − | 0.133443i | ||||
\(943\) | −2.31190 | − | 1.61881i | −0.0752857 | − | 0.0527156i | ||||
\(944\) | −0.373474 | −0.0121556 | ||||||||
\(945\) | −12.2039 | + | 13.4391i | −0.396994 | + | 0.437172i | ||||
\(946\) | −33.0856 | −1.07571 | ||||||||
\(947\) | 24.2912 | + | 17.0089i | 0.789359 | + | 0.552715i | 0.897289 | − | 0.441444i | \(-0.145533\pi\) |
−0.107930 | + | 0.994158i | \(0.534422\pi\) | |||||||
\(948\) | −0.706568 | + | 0.567451i | −0.0229483 | + | 0.0184299i | ||||
\(949\) | 24.8299 | + | 68.2195i | 0.806011 | + | 2.21450i | ||||
\(950\) | 30.6720 | + | 6.57221i | 0.995131 | + | 0.213231i | ||||
\(951\) | −2.92330 | − | 4.37202i | −0.0947945 | − | 0.141772i | ||||
\(952\) | −3.89278 | − | 8.34809i | −0.126166 | − | 0.270563i | ||||
\(953\) | −6.58339 | + | 24.5695i | −0.213257 | + | 0.795885i | 0.773516 | + | 0.633777i | \(0.218496\pi\) |
−0.986773 | + | 0.162109i | \(0.948170\pi\) | |||||||
\(954\) | −8.99395 | − | 17.2504i | −0.291190 | − | 0.558503i | ||||
\(955\) | −0.990417 | + | 0.112020i | −0.0320491 | + | 0.00362488i | ||||
\(956\) | 16.1539 | + | 19.2515i | 0.522455 | + | 0.622637i | ||||
\(957\) | 21.5944 | + | 13.0944i | 0.698049 | + | 0.423283i | ||||
\(958\) | −7.54659 | − | 10.7776i | −0.243819 | − | 0.348210i | ||||
\(959\) | −3.42188 | + | 19.4065i | −0.110498 | + | 0.626667i | ||||
\(960\) | −1.62323 | + | 3.51641i | −0.0523896 | + | 0.113492i | ||||
\(961\) | −6.25920 | + | 5.25209i | −0.201910 | + | 0.169422i | ||||
\(962\) | −6.25907 | − | 23.3592i | −0.201801 | − | 0.753130i | ||||
\(963\) | 0.895993 | − | 1.72386i | 0.0288730 | − | 0.0555507i | ||||
\(964\) | 13.5807 | − | 7.84079i | 0.437403 | − | 0.252535i | ||||
\(965\) | 15.1886 | − | 27.9192i | 0.488938 | − | 0.898751i | ||||
\(966\) | 4.95127 | + | 2.43974i | 0.159305 | + | 0.0784974i | ||||
\(967\) | −3.53202 | − | 40.3712i | −0.113582 | − | 1.29825i | −0.812463 | − | 0.583012i | \(-0.801874\pi\) |
0.698881 | − | 0.715238i | \(-0.253682\pi\) | |||||||
\(968\) | −3.73010 | − | 1.73937i | −0.119890 | − | 0.0559056i | ||||
\(969\) | −37.8642 | + | 51.6747i | −1.21637 | + | 1.66003i | ||||
\(970\) | 18.6278 | + | 17.7063i | 0.598104 | + | 0.568513i | ||||
\(971\) | − | 23.7565i | − | 0.762382i | −0.924496 | − | 0.381191i | \(-0.875514\pi\) | ||
0.924496 | − | 0.381191i | \(-0.124486\pi\) | |||||||
\(972\) | −6.87237 | + | 13.9918i | −0.220431 | + | 0.448787i | ||||
\(973\) | 14.3838 | − | 14.3838i | 0.461124 | − | 0.461124i | ||||
\(974\) | 4.15482 | + | 23.5631i | 0.133129 | + | 0.755011i | ||||
\(975\) | 30.7351 | − | 22.8876i | 0.984310 | − | 0.732991i | ||||
\(976\) | −3.34571 | + | 1.21774i | −0.107093 | + | 0.0389788i | ||||
\(977\) | −49.0275 | + | 4.28935i | −1.56853 | + | 0.137229i | −0.838007 | − | 0.545660i | \(-0.816279\pi\) |
−0.730522 | + | 0.682889i | \(0.760723\pi\) | |||||||
\(978\) | 0.212457 | + | 0.625224i | 0.00679362 | + | 0.0199925i | ||||
\(979\) | 6.90905 | − | 18.9825i | 0.220814 | − | 0.606682i | ||||
\(980\) | −9.34525 | − | 4.07256i | −0.298523 | − | 0.130093i | ||||
\(981\) | −10.3612 | − | 32.7887i | −0.330807 | − | 1.04686i | ||||
\(982\) | 24.1431 | − | 6.46911i | 0.770436 | − | 0.206438i | ||||
\(983\) | 28.3155 | + | 2.47728i | 0.903123 | + | 0.0790130i | 0.529249 | − | 0.848467i | \(-0.322474\pi\) |
0.373874 | + | 0.927480i | \(0.378029\pi\) | |||||||
\(984\) | −2.30107 | − | 0.669908i | −0.0733556 | − | 0.0213559i | ||||
\(985\) | 47.7348 | + | 16.0154i | 1.52096 | + | 0.510294i | ||||
\(986\) | 21.7738 | + | 3.83932i | 0.693420 | + | 0.122269i | ||||
\(987\) | 3.99532 | − | 6.58881i | 0.127173 | − | 0.209724i | ||||
\(988\) | 2.41947 | − | 27.6547i | 0.0769737 | − | 0.879813i | ||||
\(989\) | 8.67886 | − | 15.0322i | 0.275972 | − | 0.477997i | ||||
\(990\) | 8.48650 | + | 24.6614i | 0.269719 | + | 0.783792i | ||||
\(991\) | −12.3871 | − | 21.4552i | −0.393491 | − | 0.681546i | 0.599417 | − | 0.800437i | \(-0.295399\pi\) |
−0.992907 | + | 0.118892i | \(0.962066\pi\) | |||||||
\(992\) | −4.33033 | + | 2.01927i | −0.137488 | + | 0.0641118i | ||||
\(993\) | −3.35108 | + | 16.8750i | −0.106343 | + | 0.535513i | ||||
\(994\) | 16.0562 | − | 19.1350i | 0.509272 | − | 0.606927i | ||||
\(995\) | 15.6303 | + | 10.3640i | 0.495515 | + | 0.328560i | ||||
\(996\) | −1.98902 | + | 18.2151i | −0.0630244 | + | 0.577167i | ||||
\(997\) | 1.28056 | − | 1.82882i | 0.0405556 | − | 0.0579194i | −0.798362 | − | 0.602178i | \(-0.794300\pi\) |
0.838918 | + | 0.544258i | \(0.183189\pi\) | |||||||
\(998\) | −19.8072 | − | 19.8072i | −0.626986 | − | 0.626986i | ||||
\(999\) | −18.7446 | − | 21.3330i | −0.593052 | − | 0.674947i |
(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 | 270.2.r.a.257.14 | yes | 216 | |
3.2 | odd | 2 | 810.2.s.a.557.9 | 216 | |||
5.3 | odd | 4 | inner | 270.2.r.a.203.10 | yes | 216 | |
15.8 | even | 4 | 810.2.s.a.233.3 | 216 | |||
27.2 | odd | 18 | inner | 270.2.r.a.137.10 | yes | 216 | |
27.25 | even | 9 | 810.2.s.a.737.3 | 216 | |||
135.83 | even | 36 | inner | 270.2.r.a.83.14 | ✓ | 216 | |
135.133 | odd | 36 | 810.2.s.a.413.9 | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
270.2.r.a.83.14 | ✓ | 216 | 135.83 | even | 36 | inner | |
270.2.r.a.137.10 | yes | 216 | 27.2 | odd | 18 | inner | |
270.2.r.a.203.10 | yes | 216 | 5.3 | odd | 4 | inner | |
270.2.r.a.257.14 | yes | 216 | 1.1 | even | 1 | trivial | |
810.2.s.a.233.3 | 216 | 15.8 | even | 4 | |||
810.2.s.a.413.9 | 216 | 135.133 | odd | 36 | |||
810.2.s.a.557.9 | 216 | 3.2 | odd | 2 | |||
810.2.s.a.737.3 | 216 | 27.25 | even | 9 |