Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [99,2,Mod(4,99)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(99, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("99.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 99 = 3^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 99.m (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.790518980011\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 58.6 | ||
Character | \(\chi\) | \(=\) | 99.58 |
Dual form | 99.2.m.b.70.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.527858 | + | 0.235017i | 0.373252 | + | 0.166182i | 0.584785 | − | 0.811188i | \(-0.301179\pi\) |
−0.211533 | + | 0.977371i | \(0.567846\pi\) | |||||||
\(3\) | −1.46440 | − | 0.924946i | −0.845473 | − | 0.534018i | ||||
\(4\) | −1.11486 | − | 1.23818i | −0.557430 | − | 0.619089i | ||||
\(5\) | 2.74468 | − | 1.22201i | 1.22746 | − | 0.546500i | 0.312450 | − | 0.949934i | \(-0.398850\pi\) |
0.915009 | + | 0.403434i | \(0.132184\pi\) | |||||||
\(6\) | −0.555618 | − | 0.832400i | −0.226830 | − | 0.339826i | ||||
\(7\) | 1.13888 | − | 0.242076i | 0.430455 | − | 0.0914960i | 0.0124114 | − | 0.999923i | \(-0.496049\pi\) |
0.418044 | + | 0.908427i | \(0.362716\pi\) | |||||||
\(8\) | −0.654602 | − | 2.01466i | −0.231437 | − | 0.712289i | ||||
\(9\) | 1.28895 | + | 2.70899i | 0.429650 | + | 0.902996i | ||||
\(10\) | 1.73599 | 0.548970 | ||||||||
\(11\) | −2.54741 | − | 2.12385i | −0.768072 | − | 0.640364i | ||||
\(12\) | 0.487356 | + | 2.84438i | 0.140688 | + | 0.821101i | ||||
\(13\) | 0.412487 | + | 3.92455i | 0.114403 | + | 1.08848i | 0.889595 | + | 0.456750i | \(0.150986\pi\) |
−0.775192 | + | 0.631726i | \(0.782347\pi\) | |||||||
\(14\) | 0.658057 | + | 0.139874i | 0.175873 | + | 0.0373830i | ||||
\(15\) | −5.14961 | − | 0.749167i | −1.32962 | − | 0.193434i | ||||
\(16\) | −0.220374 | + | 2.09672i | −0.0550935 | + | 0.524179i | ||||
\(17\) | 0.254185 | + | 0.184677i | 0.0616490 | + | 0.0447906i | 0.618183 | − | 0.786034i | \(-0.287869\pi\) |
−0.556534 | + | 0.830825i | \(0.687869\pi\) | |||||||
\(18\) | 0.0437225 | + | 1.73288i | 0.0103055 | + | 0.408445i | ||||
\(19\) | 1.96794 | + | 6.05670i | 0.451477 | + | 1.38950i | 0.875222 | + | 0.483721i | \(0.160715\pi\) |
−0.423746 | + | 0.905781i | \(0.639285\pi\) | |||||||
\(20\) | −4.57300 | − | 2.03603i | −1.02255 | − | 0.455271i | ||||
\(21\) | −1.89168 | − | 0.698904i | −0.412799 | − | 0.152513i | ||||
\(22\) | −0.845527 | − | 1.71977i | −0.180267 | − | 0.366657i | ||||
\(23\) | 0.0427501 | − | 0.0740453i | 0.00891401 | − | 0.0154395i | −0.861534 | − | 0.507700i | \(-0.830496\pi\) |
0.870448 | + | 0.492260i | \(0.163829\pi\) | |||||||
\(24\) | −0.904849 | + | 3.55574i | −0.184702 | + | 0.725813i | ||||
\(25\) | 2.69431 | − | 2.99234i | 0.538862 | − | 0.598467i | ||||
\(26\) | −0.704604 | + | 2.16855i | −0.138184 | + | 0.425287i | ||||
\(27\) | 0.618128 | − | 5.15926i | 0.118959 | − | 0.992899i | ||||
\(28\) | −1.56942 | − | 1.14025i | −0.296593 | − | 0.215487i | ||||
\(29\) | 7.53156 | − | 1.60088i | 1.39858 | − | 0.297276i | 0.553913 | − | 0.832575i | \(-0.313134\pi\) |
0.844663 | + | 0.535298i | \(0.179801\pi\) | |||||||
\(30\) | −2.54219 | − | 1.60570i | −0.464139 | − | 0.293160i | ||||
\(31\) | −0.682449 | − | 6.49307i | −0.122571 | − | 1.16619i | −0.866937 | − | 0.498418i | \(-0.833915\pi\) |
0.744366 | − | 0.667772i | \(-0.232752\pi\) | |||||||
\(32\) | −2.72743 | + | 4.72404i | −0.482146 | + | 0.835101i | ||||
\(33\) | 1.76598 | + | 5.46638i | 0.307418 | + | 0.951574i | ||||
\(34\) | 0.0907715 | + | 0.157221i | 0.0155672 | + | 0.0269632i | ||||
\(35\) | 2.83004 | − | 2.05614i | 0.478363 | − | 0.347551i | ||||
\(36\) | 1.91721 | − | 4.61609i | 0.319535 | − | 0.769349i | ||||
\(37\) | −1.92922 | + | 5.93753i | −0.317162 | + | 0.976124i | 0.657694 | + | 0.753286i | \(0.271532\pi\) |
−0.974855 | + | 0.222838i | \(0.928468\pi\) | |||||||
\(38\) | −0.384637 | + | 3.65957i | −0.0623963 | + | 0.593661i | ||||
\(39\) | 3.02595 | − | 6.12865i | 0.484540 | − | 0.981370i | ||||
\(40\) | −4.25861 | − | 4.72966i | −0.673345 | − | 0.747825i | ||||
\(41\) | −5.68213 | − | 1.20777i | −0.887399 | − | 0.188623i | −0.258409 | − | 0.966036i | \(-0.583198\pi\) |
−0.628990 | + | 0.777413i | \(0.716532\pi\) | |||||||
\(42\) | −0.834284 | − | 0.813500i | −0.128733 | − | 0.125526i | ||||
\(43\) | 3.39229 | + | 5.87562i | 0.517320 | + | 0.896024i | 0.999798 | + | 0.0201157i | \(0.00640347\pi\) |
−0.482478 | + | 0.875908i | \(0.660263\pi\) | |||||||
\(44\) | 0.210303 | + | 5.52194i | 0.0317043 | + | 0.832463i | ||||
\(45\) | 6.84817 | + | 5.86020i | 1.02086 | + | 0.873587i | ||||
\(46\) | 0.0399679 | − | 0.0290384i | 0.00589294 | − | 0.00428147i | ||||
\(47\) | −0.219298 | + | 0.243555i | −0.0319879 | + | 0.0355262i | −0.758926 | − | 0.651176i | \(-0.774276\pi\) |
0.726939 | + | 0.686703i | \(0.240942\pi\) | |||||||
\(48\) | 2.26207 | − | 2.86660i | 0.326501 | − | 0.413759i | ||||
\(49\) | −5.15638 | + | 2.29577i | −0.736625 | + | 0.327967i | ||||
\(50\) | 2.12546 | − | 0.946318i | 0.300586 | − | 0.133830i | ||||
\(51\) | −0.201414 | − | 0.505549i | −0.0282036 | − | 0.0707910i | ||||
\(52\) | 4.39943 | − | 4.88606i | 0.610091 | − | 0.677575i | ||||
\(53\) | 1.96000 | − | 1.42402i | 0.269227 | − | 0.195605i | −0.444978 | − | 0.895541i | \(-0.646789\pi\) |
0.714205 | + | 0.699937i | \(0.246789\pi\) | |||||||
\(54\) | 1.53880 | − | 2.57808i | 0.209404 | − | 0.350832i | ||||
\(55\) | −9.58718 | − | 2.71632i | −1.29274 | − | 0.366269i | ||||
\(56\) | −1.23321 | − | 2.13598i | −0.164795 | − | 0.285433i | ||||
\(57\) | 2.72026 | − | 10.6897i | 0.360308 | − | 1.41588i | ||||
\(58\) | 4.35183 | + | 0.925009i | 0.571423 | + | 0.121460i | ||||
\(59\) | −1.53634 | − | 1.70628i | −0.200015 | − | 0.222139i | 0.634790 | − | 0.772685i | \(-0.281087\pi\) |
−0.834805 | + | 0.550545i | \(0.814420\pi\) | |||||||
\(60\) | 4.81350 | + | 7.21136i | 0.621420 | + | 0.930982i | ||||
\(61\) | 1.43070 | − | 13.6122i | 0.183183 | − | 1.74287i | −0.387656 | − | 0.921804i | \(-0.626715\pi\) |
0.570839 | − | 0.821062i | \(-0.306618\pi\) | |||||||
\(62\) | 1.16575 | − | 3.58780i | 0.148050 | − | 0.455652i | ||||
\(63\) | 2.12373 | + | 2.77318i | 0.267565 | + | 0.349388i | ||||
\(64\) | 0.861321 | − | 0.625787i | 0.107665 | − | 0.0782233i | ||||
\(65\) | 5.92799 | + | 10.2676i | 0.735277 | + | 1.27354i | ||||
\(66\) | −0.352506 | + | 3.30051i | −0.0433905 | + | 0.406264i | ||||
\(67\) | −5.83989 | + | 10.1150i | −0.713456 | + | 1.23574i | 0.250096 | + | 0.968221i | \(0.419538\pi\) |
−0.963552 | + | 0.267521i | \(0.913795\pi\) | |||||||
\(68\) | −0.0547189 | − | 0.520616i | −0.00663564 | − | 0.0631339i | ||||
\(69\) | −0.131091 | + | 0.0688906i | −0.0157815 | + | 0.00829345i | ||||
\(70\) | 1.97708 | − | 0.420242i | 0.236307 | − | 0.0502286i | ||||
\(71\) | −7.05272 | − | 5.12410i | −0.837004 | − | 0.608119i | 0.0845279 | − | 0.996421i | \(-0.473062\pi\) |
−0.921532 | + | 0.388302i | \(0.873062\pi\) | |||||||
\(72\) | 4.61393 | − | 4.37010i | 0.543757 | − | 0.515021i | ||||
\(73\) | 0.910538 | − | 2.80235i | 0.106570 | − | 0.327990i | −0.883525 | − | 0.468383i | \(-0.844837\pi\) |
0.990096 | + | 0.140393i | \(0.0448367\pi\) | |||||||
\(74\) | −2.41378 | + | 2.68077i | −0.280596 | + | 0.311633i | ||||
\(75\) | −6.71331 | + | 1.88989i | −0.775186 | + | 0.218226i | ||||
\(76\) | 5.30529 | − | 9.18904i | 0.608559 | − | 1.05405i | ||||
\(77\) | −3.41531 | − | 1.80213i | −0.389211 | − | 0.205372i | ||||
\(78\) | 3.03761 | − | 2.52391i | 0.343942 | − | 0.285776i | ||||
\(79\) | −8.11886 | − | 3.61475i | −0.913443 | − | 0.406691i | −0.104464 | − | 0.994529i | \(-0.533313\pi\) |
−0.808979 | + | 0.587838i | \(0.799979\pi\) | |||||||
\(80\) | 1.95735 | + | 6.02412i | 0.218839 | + | 0.673517i | ||||
\(81\) | −5.67722 | + | 6.98349i | −0.630802 | + | 0.775944i | ||||
\(82\) | −2.71551 | − | 1.97293i | −0.299878 | − | 0.217874i | ||||
\(83\) | −0.518229 | + | 4.93062i | −0.0568831 | + | 0.541206i | 0.928558 | + | 0.371188i | \(0.121049\pi\) |
−0.985441 | + | 0.170018i | \(0.945617\pi\) | |||||||
\(84\) | 1.24359 | + | 3.12142i | 0.135687 | + | 0.340575i | ||||
\(85\) | 0.923335 | + | 0.196261i | 0.100150 | + | 0.0212875i | ||||
\(86\) | 0.409774 | + | 3.89874i | 0.0441871 | + | 0.420412i | ||||
\(87\) | −12.5100 | − | 4.62195i | −1.34121 | − | 0.495525i | ||||
\(88\) | −2.61129 | + | 6.52242i | −0.278364 | + | 0.695293i | ||||
\(89\) | 2.12862 | 0.225634 | 0.112817 | − | 0.993616i | \(-0.464013\pi\) | ||||
0.112817 | + | 0.993616i | \(0.464013\pi\) | |||||||
\(90\) | 2.23761 | + | 4.70279i | 0.235865 | + | 0.495717i | ||||
\(91\) | 1.41981 | + | 4.36973i | 0.148837 | + | 0.458072i | ||||
\(92\) | −0.139342 | + | 0.0296180i | −0.0145274 | + | 0.00308789i | ||||
\(93\) | −5.00636 | + | 10.1397i | −0.519135 | + | 1.05144i | ||||
\(94\) | −0.172998 | + | 0.0770236i | −0.0178434 | + | 0.00794437i | ||||
\(95\) | 12.8027 | + | 14.2189i | 1.31353 | + | 1.45882i | ||||
\(96\) | 8.36354 | − | 4.39518i | 0.853600 | − | 0.448581i | ||||
\(97\) | −0.0811587 | − | 0.0361342i | −0.00824041 | − | 0.00366887i | 0.402612 | − | 0.915371i | \(-0.368102\pi\) |
−0.410853 | + | 0.911702i | \(0.634769\pi\) | |||||||
\(98\) | −3.26138 | −0.329449 | ||||||||
\(99\) | 2.47000 | − | 9.63842i | 0.248244 | − | 0.968698i | ||||
\(100\) | −6.70883 | −0.670883 | ||||||||
\(101\) | −1.87869 | − | 0.836447i | −0.186937 | − | 0.0832296i | 0.311134 | − | 0.950366i | \(-0.399291\pi\) |
−0.498071 | + | 0.867137i | \(0.665958\pi\) | |||||||
\(102\) | 0.0124948 | − | 0.314194i | 0.00123717 | − | 0.0311098i | ||||
\(103\) | −2.01858 | − | 2.24186i | −0.198896 | − | 0.220897i | 0.635443 | − | 0.772148i | \(-0.280817\pi\) |
−0.834340 | + | 0.551251i | \(0.814151\pi\) | |||||||
\(104\) | 7.63662 | − | 3.40004i | 0.748832 | − | 0.333401i | ||||
\(105\) | −6.04613 | + | 0.393387i | −0.590042 | + | 0.0383907i | ||||
\(106\) | 1.36927 | − | 0.291048i | 0.132995 | − | 0.0282690i | ||||
\(107\) | 3.70600 | + | 11.4059i | 0.358272 | + | 1.10265i | 0.954088 | + | 0.299527i | \(0.0968290\pi\) |
−0.595815 | + | 0.803121i | \(0.703171\pi\) | |||||||
\(108\) | −7.07720 | + | 4.98650i | −0.681004 | + | 0.479826i | ||||
\(109\) | 5.20013 | 0.498082 | 0.249041 | − | 0.968493i | \(-0.419885\pi\) | ||||
0.249041 | + | 0.968493i | \(0.419885\pi\) | |||||||
\(110\) | −4.42228 | − | 3.68699i | −0.421648 | − | 0.351540i | ||||
\(111\) | 8.31705 | − | 6.91051i | 0.789420 | − | 0.655916i | ||||
\(112\) | 0.256586 | + | 2.44125i | 0.0242451 | + | 0.230676i | ||||
\(113\) | −18.8074 | − | 3.99763i | −1.76925 | − | 0.376066i | −0.795907 | − | 0.605419i | \(-0.793005\pi\) |
−0.973343 | + | 0.229354i | \(0.926339\pi\) | |||||||
\(114\) | 3.94817 | − | 5.00332i | 0.369780 | − | 0.468604i | ||||
\(115\) | 0.0268512 | − | 0.255472i | 0.00250389 | − | 0.0238229i | ||||
\(116\) | −10.3788 | − | 7.54065i | −0.963649 | − | 0.700132i | ||||
\(117\) | −10.0999 | + | 6.17597i | −0.933735 | + | 0.570969i | ||||
\(118\) | −0.409965 | − | 1.26174i | −0.0377403 | − | 0.116153i | ||||
\(119\) | 0.334192 | + | 0.148792i | 0.0306353 | + | 0.0136397i | ||||
\(120\) | 1.86163 | + | 10.8651i | 0.169943 | + | 0.991844i | ||||
\(121\) | 1.97856 | + | 10.8206i | 0.179869 | + | 0.983691i | ||||
\(122\) | 3.95432 | − | 6.84907i | 0.358007 | − | 0.620086i | ||||
\(123\) | 7.20380 | + | 7.02433i | 0.649544 | + | 0.633362i | ||||
\(124\) | −7.27874 | + | 8.08386i | −0.653650 | + | 0.725952i | ||||
\(125\) | −0.903736 | + | 2.78141i | −0.0808326 | + | 0.248777i | ||||
\(126\) | 0.469284 | + | 1.96296i | 0.0418071 | + | 0.174874i | ||||
\(127\) | 10.6652 | + | 7.74873i | 0.946384 | + | 0.687588i | 0.949949 | − | 0.312405i | \(-0.101135\pi\) |
−0.00356461 | + | 0.999994i | \(0.501135\pi\) | |||||||
\(128\) | 11.2730 | − | 2.39616i | 0.996405 | − | 0.211792i | ||||
\(129\) | 0.466954 | − | 11.7420i | 0.0411130 | − | 1.03382i | ||||
\(130\) | 0.716076 | + | 6.81300i | 0.0628040 | + | 0.597540i | ||||
\(131\) | 8.98588 | − | 15.5640i | 0.785100 | − | 1.35983i | −0.143839 | − | 0.989601i | \(-0.545945\pi\) |
0.928939 | − | 0.370233i | \(-0.120722\pi\) | |||||||
\(132\) | 4.79953 | − | 8.28085i | 0.417745 | − | 0.720756i | ||||
\(133\) | 3.70742 | + | 6.42144i | 0.321474 | + | 0.556810i | ||||
\(134\) | −5.45983 | + | 3.96680i | −0.471657 | + | 0.342679i | ||||
\(135\) | −4.60810 | − | 14.9159i | −0.396602 | − | 1.28375i | ||||
\(136\) | 0.205670 | − | 0.632986i | 0.0176360 | − | 0.0542781i | ||||
\(137\) | 1.71445 | − | 16.3119i | 0.146475 | − | 1.39362i | −0.636361 | − | 0.771391i | \(-0.719561\pi\) |
0.782836 | − | 0.622228i | \(-0.213772\pi\) | |||||||
\(138\) | −0.0853880 | + | 0.00555571i | −0.00726871 | + | 0.000472934i | ||||
\(139\) | −7.96373 | − | 8.84461i | −0.675475 | − | 0.750190i | 0.303798 | − | 0.952736i | \(-0.401745\pi\) |
−0.979273 | + | 0.202546i | \(0.935078\pi\) | |||||||
\(140\) | −5.70096 | − | 1.21178i | −0.481819 | − | 0.102414i | ||||
\(141\) | 0.546416 | − | 0.153824i | 0.0460165 | − | 0.0129543i | ||||
\(142\) | −2.51858 | − | 4.36231i | −0.211355 | − | 0.366077i | ||||
\(143\) | 7.28438 | − | 10.8735i | 0.609150 | − | 0.909287i | ||||
\(144\) | −5.96403 | + | 2.10557i | −0.497002 | + | 0.175464i | ||||
\(145\) | 18.7154 | − | 13.5976i | 1.55423 | − | 1.12922i | ||||
\(146\) | 1.13923 | − | 1.26525i | 0.0942837 | − | 0.104713i | ||||
\(147\) | 9.67447 | + | 1.40745i | 0.797937 | + | 0.116084i | ||||
\(148\) | 9.50253 | − | 4.23080i | 0.781103 | − | 0.347770i | ||||
\(149\) | −4.13993 | + | 1.84321i | −0.339156 | + | 0.151002i | −0.569246 | − | 0.822167i | \(-0.692765\pi\) |
0.230090 | + | 0.973169i | \(0.426098\pi\) | |||||||
\(150\) | −3.98783 | − | 0.580150i | −0.325605 | − | 0.0473691i | ||||
\(151\) | −1.96113 | + | 2.17806i | −0.159595 | + | 0.177248i | −0.817639 | − | 0.575732i | \(-0.804717\pi\) |
0.658044 | + | 0.752979i | \(0.271384\pi\) | |||||||
\(152\) | 10.9140 | − | 7.92945i | 0.885239 | − | 0.643164i | ||||
\(153\) | −0.172654 | + | 0.926624i | −0.0139583 | + | 0.0749131i | ||||
\(154\) | −1.37927 | − | 1.75393i | −0.111144 | − | 0.141336i | ||||
\(155\) | −9.80771 | − | 16.9874i | −0.787774 | − | 1.36446i | ||||
\(156\) | −10.9619 | + | 3.08593i | −0.877653 | + | 0.247072i | ||||
\(157\) | 17.6591 | + | 3.75356i | 1.40935 | + | 0.299567i | 0.848871 | − | 0.528600i | \(-0.177283\pi\) |
0.560481 | + | 0.828167i | \(0.310616\pi\) | |||||||
\(158\) | −3.43607 | − | 3.81614i | −0.273359 | − | 0.303596i | ||||
\(159\) | −4.18737 | + | 0.272449i | −0.332080 | + | 0.0216066i | ||||
\(160\) | −1.71309 | + | 16.2989i | −0.135431 | + | 1.28854i | ||||
\(161\) | 0.0307625 | − | 0.0946773i | 0.00242443 | − | 0.00746161i | ||||
\(162\) | −4.63801 | + | 2.35204i | −0.364396 | + | 0.184794i | ||||
\(163\) | 4.71129 | − | 3.42295i | 0.369017 | − | 0.268106i | −0.387786 | − | 0.921749i | \(-0.626760\pi\) |
0.756803 | + | 0.653643i | \(0.226760\pi\) | |||||||
\(164\) | 4.83934 | + | 8.38199i | 0.377889 | + | 0.654523i | ||||
\(165\) | 11.5270 | + | 12.8454i | 0.897379 | + | 1.00001i | ||||
\(166\) | −1.43233 | + | 2.48087i | −0.111171 | + | 0.192553i | ||||
\(167\) | 0.524913 | + | 4.99422i | 0.0406190 | + | 0.386464i | 0.995879 | + | 0.0906956i | \(0.0289090\pi\) |
−0.955260 | + | 0.295769i | \(0.904424\pi\) | |||||||
\(168\) | −0.169753 | + | 4.26859i | −0.0130968 | + | 0.329329i | ||||
\(169\) | −2.51606 | + | 0.534805i | −0.193543 | + | 0.0411388i | ||||
\(170\) | 0.441265 | + | 0.320598i | 0.0338435 | + | 0.0245887i | ||||
\(171\) | −13.8709 | + | 13.1379i | −1.06074 | + | 1.00468i | ||||
\(172\) | 3.49313 | − | 10.7508i | 0.266349 | − | 0.819738i | ||||
\(173\) | −10.4317 | + | 11.5855i | −0.793104 | + | 0.880831i | −0.995132 | − | 0.0985486i | \(-0.968580\pi\) |
0.202028 | + | 0.979380i | \(0.435247\pi\) | |||||||
\(174\) | −5.51724 | − | 5.37979i | −0.418261 | − | 0.407841i | ||||
\(175\) | 2.34412 | − | 4.06013i | 0.177199 | − | 0.306917i | ||||
\(176\) | 5.01449 | − | 4.87315i | 0.377981 | − | 0.367327i | ||||
\(177\) | 0.671606 | + | 3.91972i | 0.0504810 | + | 0.294624i | ||||
\(178\) | 1.12361 | + | 0.500263i | 0.0842181 | + | 0.0374963i | ||||
\(179\) | 2.17822 | + | 6.70387i | 0.162808 | + | 0.501071i | 0.998868 | − | 0.0475668i | \(-0.0151467\pi\) |
−0.836060 | + | 0.548638i | \(0.815147\pi\) | |||||||
\(180\) | −0.378783 | − | 15.0126i | −0.0282328 | − | 1.11897i | ||||
\(181\) | −2.02068 | − | 1.46811i | −0.150196 | − | 0.109124i | 0.510149 | − | 0.860086i | \(-0.329590\pi\) |
−0.660345 | + | 0.750962i | \(0.729590\pi\) | |||||||
\(182\) | −0.277504 | + | 2.64028i | −0.0205700 | + | 0.195710i | ||||
\(183\) | −14.6857 | + | 18.6104i | −1.08560 | + | 1.37572i | ||||
\(184\) | −0.177160 | − | 0.0376566i | −0.0130604 | − | 0.00277608i | ||||
\(185\) | 1.96063 | + | 18.6542i | 0.144148 | + | 1.37148i | ||||
\(186\) | −5.02565 | + | 4.17573i | −0.368499 | + | 0.306180i | ||||
\(187\) | −0.255289 | − | 1.01030i | −0.0186686 | − | 0.0738802i | ||||
\(188\) | 0.546051 | 0.0398249 | ||||||||
\(189\) | −0.544960 | − | 6.02539i | −0.0396400 | − | 0.438283i | ||||
\(190\) | 3.41633 | + | 10.5144i | 0.247847 | + | 0.762795i | ||||
\(191\) | 11.5646 | − | 2.45814i | 0.836786 | − | 0.177864i | 0.230461 | − | 0.973081i | \(-0.425976\pi\) |
0.606325 | + | 0.795217i | \(0.292643\pi\) | |||||||
\(192\) | −1.84014 | + | 0.119727i | −0.132801 | + | 0.00864058i | ||||
\(193\) | 6.16338 | − | 2.74411i | 0.443650 | − | 0.197526i | −0.172739 | − | 0.984968i | \(-0.555262\pi\) |
0.616389 | + | 0.787442i | \(0.288595\pi\) | |||||||
\(194\) | −0.0343481 | − | 0.0381474i | −0.00246605 | − | 0.00273882i | ||||
\(195\) | 0.815997 | − | 20.5190i | 0.0584348 | − | 1.46939i | ||||
\(196\) | 8.59121 | + | 3.82505i | 0.613658 | + | 0.273218i | ||||
\(197\) | −20.6474 | −1.47107 | −0.735534 | − | 0.677488i | \(-0.763069\pi\) | ||||
−0.735534 | + | 0.677488i | \(0.763069\pi\) | |||||||
\(198\) | 3.56900 | − | 4.50722i | 0.253638 | − | 0.320314i | ||||
\(199\) | −13.2862 | −0.941832 | −0.470916 | − | 0.882178i | \(-0.656077\pi\) | ||||
−0.470916 | + | 0.882178i | \(0.656077\pi\) | |||||||
\(200\) | −7.79224 | − | 3.46933i | −0.550994 | − | 0.245318i | ||||
\(201\) | 17.9078 | − | 9.41083i | 1.26312 | − | 0.663789i | ||||
\(202\) | −0.795102 | − | 0.883050i | −0.0559432 | − | 0.0621312i | ||||
\(203\) | 8.18999 | − | 3.64642i | 0.574824 | − | 0.255928i | ||||
\(204\) | −0.401411 | + | 0.813003i | −0.0281044 | + | 0.0569216i | ||||
\(205\) | −17.0715 | + | 3.62867i | −1.19233 | + | 0.253437i | ||||
\(206\) | −0.538646 | − | 1.65778i | −0.0375292 | − | 0.115503i | ||||
\(207\) | 0.255690 | + | 0.0203688i | 0.0177717 | + | 0.00141573i | ||||
\(208\) | −8.31958 | −0.576859 | ||||||||
\(209\) | 7.85035 | − | 19.6085i | 0.543020 | − | 1.35635i | ||||
\(210\) | −3.28395 | − | 1.21329i | −0.226614 | − | 0.0837252i | ||||
\(211\) | 0.872292 | + | 8.29930i | 0.0600510 | + | 0.571348i | 0.982635 | + | 0.185551i | \(0.0594068\pi\) |
−0.922584 | + | 0.385797i | \(0.873926\pi\) | |||||||
\(212\) | −3.94832 | − | 0.839242i | −0.271172 | − | 0.0576394i | ||||
\(213\) | 5.58851 | + | 14.0271i | 0.382918 | + | 0.961124i | ||||
\(214\) | −0.724343 | + | 6.89166i | −0.0495150 | + | 0.471104i | ||||
\(215\) | 16.4908 | + | 11.9813i | 1.12467 | + | 0.817117i | ||||
\(216\) | −10.7988 | + | 2.13194i | −0.734763 | + | 0.145060i | ||||
\(217\) | −2.34904 | − | 7.22960i | −0.159463 | − | 0.490778i | ||||
\(218\) | 2.74493 | + | 1.22212i | 0.185910 | + | 0.0827724i | ||||
\(219\) | −3.92541 | + | 3.26156i | −0.265255 | + | 0.220396i | ||||
\(220\) | 7.32508 | + | 14.8990i | 0.493857 | + | 1.00449i | ||||
\(221\) | −0.619925 | + | 1.07374i | −0.0417007 | + | 0.0722277i | ||||
\(222\) | 6.01431 | − | 1.69311i | 0.403654 | − | 0.113634i | ||||
\(223\) | −0.256716 | + | 0.285112i | −0.0171910 | + | 0.0190925i | −0.751679 | − | 0.659529i | \(-0.770756\pi\) |
0.734488 | + | 0.678622i | \(0.237422\pi\) | |||||||
\(224\) | −1.96263 | + | 6.04035i | −0.131134 | + | 0.403588i | ||||
\(225\) | 11.5790 | + | 3.44189i | 0.771936 | + | 0.229459i | ||||
\(226\) | −8.98811 | − | 6.53024i | −0.597880 | − | 0.434385i | ||||
\(227\) | −17.6204 | + | 3.74533i | −1.16951 | + | 0.248586i | −0.751422 | − | 0.659822i | \(-0.770632\pi\) |
−0.418084 | + | 0.908408i | \(0.637298\pi\) | |||||||
\(228\) | −16.2684 | + | 8.54934i | −1.07740 | + | 0.566194i | ||||
\(229\) | −1.40359 | − | 13.3543i | −0.0927521 | − | 0.882478i | −0.937657 | − | 0.347561i | \(-0.887010\pi\) |
0.844905 | − | 0.534916i | \(-0.179657\pi\) | |||||||
\(230\) | 0.0742139 | − | 0.128542i | 0.00489352 | − | 0.00847583i | ||||
\(231\) | 3.33452 | + | 5.79803i | 0.219395 | + | 0.381482i | ||||
\(232\) | −8.15540 | − | 14.1256i | −0.535428 | − | 0.927389i | ||||
\(233\) | 2.72611 | − | 1.98063i | 0.178593 | − | 0.129756i | −0.494897 | − | 0.868952i | \(-0.664794\pi\) |
0.673490 | + | 0.739196i | \(0.264794\pi\) | |||||||
\(234\) | −6.78276 | + | 0.886384i | −0.443403 | + | 0.0579447i | ||||
\(235\) | −0.304276 | + | 0.936466i | −0.0198488 | + | 0.0610883i | ||||
\(236\) | −0.399873 | + | 3.80454i | −0.0260295 | + | 0.247654i | ||||
\(237\) | 8.54582 | + | 12.8029i | 0.555111 | + | 0.831641i | ||||
\(238\) | 0.141437 | + | 0.157082i | 0.00916800 | + | 0.0101821i | ||||
\(239\) | 22.6899 | + | 4.82289i | 1.46769 | + | 0.311967i | 0.871308 | − | 0.490736i | \(-0.163272\pi\) |
0.596379 | + | 0.802703i | \(0.296606\pi\) | |||||||
\(240\) | 2.70563 | − | 10.6322i | 0.174648 | − | 0.686304i | ||||
\(241\) | −7.58206 | − | 13.1325i | −0.488404 | − | 0.845940i | 0.511507 | − | 0.859279i | \(-0.329087\pi\) |
−0.999911 | + | 0.0133389i | \(0.995754\pi\) | |||||||
\(242\) | −1.49863 | + | 6.17673i | −0.0963358 | + | 0.397055i | ||||
\(243\) | 14.7731 | − | 4.97552i | 0.947694 | − | 0.319180i | ||||
\(244\) | −18.4494 | + | 13.4043i | −1.18110 | + | 0.858120i | ||||
\(245\) | −11.3472 | + | 12.6023i | −0.724944 | + | 0.805131i | ||||
\(246\) | 2.15174 | + | 5.40086i | 0.137190 | + | 0.344346i | ||||
\(247\) | −22.9581 | + | 10.2216i | −1.46079 | + | 0.650385i | ||||
\(248\) | −12.6346 | + | 5.62528i | −0.802297 | + | 0.357205i | ||||
\(249\) | 5.31946 | − | 6.74108i | 0.337107 | − | 0.427199i | ||||
\(250\) | −1.13072 | + | 1.25580i | −0.0715133 | + | 0.0794235i | ||||
\(251\) | 0.471095 | − | 0.342271i | 0.0297353 | − | 0.0216039i | −0.572818 | − | 0.819682i | \(-0.694150\pi\) |
0.602554 | + | 0.798078i | \(0.294150\pi\) | |||||||
\(252\) | 1.06602 | − | 5.72127i | 0.0671531 | − | 0.360406i | ||||
\(253\) | −0.266163 | + | 0.0978289i | −0.0167335 | + | 0.00615045i | ||||
\(254\) | 3.80863 | + | 6.59673i | 0.238974 | + | 0.413916i | ||||
\(255\) | −1.17060 | − | 1.14144i | −0.0733060 | − | 0.0714798i | ||||
\(256\) | 4.43092 | + | 0.941821i | 0.276933 | + | 0.0588638i | ||||
\(257\) | −7.34131 | − | 8.15335i | −0.457939 | − | 0.508592i | 0.469313 | − | 0.883032i | \(-0.344502\pi\) |
−0.927251 | + | 0.374440i | \(0.877835\pi\) | |||||||
\(258\) | 3.00605 | − | 6.08834i | 0.187148 | − | 0.379044i | ||||
\(259\) | −0.759813 | + | 7.22913i | −0.0472125 | + | 0.449197i | ||||
\(260\) | 6.10421 | − | 18.7868i | 0.378567 | − | 1.16511i | ||||
\(261\) | 14.0446 | + | 18.3394i | 0.869337 | + | 1.13518i | ||||
\(262\) | 8.40108 | − | 6.10374i | 0.519020 | − | 0.377090i | ||||
\(263\) | 7.19768 | + | 12.4668i | 0.443828 | + | 0.768733i | 0.997970 | − | 0.0636896i | \(-0.0202868\pi\) |
−0.554142 | + | 0.832422i | \(0.686953\pi\) | |||||||
\(264\) | 9.85686 | − | 7.13615i | 0.606648 | − | 0.439200i | ||||
\(265\) | 3.63940 | − | 6.30363i | 0.223567 | − | 0.387229i | ||||
\(266\) | 0.447840 | + | 4.26092i | 0.0274589 | + | 0.261254i | ||||
\(267\) | −3.11716 | − | 1.96886i | −0.190767 | − | 0.120492i | ||||
\(268\) | 19.0348 | − | 4.04598i | 1.16274 | − | 0.247147i | ||||
\(269\) | −0.395590 | − | 0.287413i | −0.0241195 | − | 0.0175239i | 0.575660 | − | 0.817689i | \(-0.304745\pi\) |
−0.599780 | + | 0.800165i | \(0.704745\pi\) | |||||||
\(270\) | 1.07307 | − | 8.95644i | 0.0653047 | − | 0.545072i | ||||
\(271\) | 6.77950 | − | 20.8652i | 0.411825 | − | 1.26747i | −0.503234 | − | 0.864150i | \(-0.667857\pi\) |
0.915060 | − | 0.403318i | \(-0.132143\pi\) | |||||||
\(272\) | −0.443230 | + | 0.492257i | −0.0268748 | + | 0.0298475i | ||||
\(273\) | 1.96259 | − | 7.71229i | 0.118781 | − | 0.466769i | ||||
\(274\) | 4.73856 | − | 8.20743i | 0.286267 | − | 0.495829i | ||||
\(275\) | −13.2188 | + | 1.90039i | −0.797122 | + | 0.114598i | ||||
\(276\) | 0.231447 | + | 0.0855109i | 0.0139315 | + | 0.00514715i | ||||
\(277\) | 2.62144 | + | 1.16714i | 0.157507 | + | 0.0701267i | 0.483976 | − | 0.875081i | \(-0.339192\pi\) |
−0.326469 | + | 0.945208i | \(0.605859\pi\) | |||||||
\(278\) | −2.12508 | − | 6.54031i | −0.127454 | − | 0.392262i | ||||
\(279\) | 16.7100 | − | 10.2180i | 1.00040 | − | 0.611735i | ||||
\(280\) | −5.99497 | − | 4.35560i | −0.358268 | − | 0.260297i | ||||
\(281\) | −1.90013 | + | 18.0785i | −0.113352 | + | 1.07847i | 0.778967 | + | 0.627066i | \(0.215744\pi\) |
−0.892318 | + | 0.451406i | \(0.850922\pi\) | |||||||
\(282\) | 0.324581 | + | 0.0472201i | 0.0193285 | + | 0.00281192i | ||||
\(283\) | 20.0883 | + | 4.26991i | 1.19413 | + | 0.253820i | 0.761749 | − | 0.647873i | \(-0.224341\pi\) |
0.432378 | + | 0.901692i | \(0.357674\pi\) | |||||||
\(284\) | 1.51825 | + | 14.4452i | 0.0900916 | + | 0.857164i | ||||
\(285\) | −5.59665 | − | 32.6640i | −0.331517 | − | 1.93485i | ||||
\(286\) | 6.40057 | − | 4.02770i | 0.378474 | − | 0.238163i | ||||
\(287\) | −6.76362 | −0.399244 | ||||||||
\(288\) | −16.3129 | − | 1.29952i | −0.961246 | − | 0.0765747i | ||||
\(289\) | −5.22278 | − | 16.0741i | −0.307223 | − | 0.945534i | ||||
\(290\) | 13.0747 | − | 2.77912i | 0.767776 | − | 0.163196i | ||||
\(291\) | 0.0854268 | + | 0.127982i | 0.00500781 | + | 0.00750246i | ||||
\(292\) | −4.48493 | + | 1.99682i | −0.262461 | + | 0.116855i | ||||
\(293\) | 0.575497 | + | 0.639154i | 0.0336209 | + | 0.0373398i | 0.759721 | − | 0.650250i | \(-0.225336\pi\) |
−0.726100 | + | 0.687589i | \(0.758669\pi\) | |||||||
\(294\) | 4.77597 | + | 3.01660i | 0.278540 | + | 0.175932i | ||||
\(295\) | −6.30187 | − | 2.80578i | −0.366909 | − | 0.163359i | ||||
\(296\) | 13.2250 | 0.768685 | ||||||||
\(297\) | −12.5321 | + | 11.8299i | −0.727185 | + | 0.686441i | ||||
\(298\) | −2.61848 | −0.151684 | ||||||||
\(299\) | 0.308229 | + | 0.137232i | 0.0178253 | + | 0.00793635i | ||||
\(300\) | 9.82443 | + | 6.20531i | 0.567214 | + | 0.358264i | ||||
\(301\) | 5.28575 | + | 5.87042i | 0.304665 | + | 0.338365i | ||||
\(302\) | −1.54708 | + | 0.688804i | −0.0890244 | + | 0.0396362i | ||||
\(303\) | 1.97749 | + | 2.96258i | 0.113604 | + | 0.170196i | ||||
\(304\) | −13.1329 | + | 2.79148i | −0.753221 | + | 0.160102i | ||||
\(305\) | −12.7075 | − | 39.1095i | −0.727627 | − | 2.23941i | ||||
\(306\) | −0.308910 | + | 0.448549i | −0.0176592 | + | 0.0256418i | ||||
\(307\) | 3.48920 | 0.199139 | 0.0995696 | − | 0.995031i | \(-0.468253\pi\) | ||||
0.0995696 | + | 0.995031i | \(0.468253\pi\) | |||||||
\(308\) | 1.57624 | + | 6.23790i | 0.0898144 | + | 0.355437i | ||||
\(309\) | 0.882412 | + | 5.15005i | 0.0501986 | + | 0.292976i | ||||
\(310\) | −1.18473 | − | 11.2719i | −0.0672880 | − | 0.640203i | ||||
\(311\) | −10.6083 | − | 2.25486i | −0.601542 | − | 0.127862i | −0.102932 | − | 0.994688i | \(-0.532822\pi\) |
−0.498610 | + | 0.866827i | \(0.666156\pi\) | |||||||
\(312\) | −14.3279 | − | 2.08443i | −0.811160 | − | 0.118008i | ||||
\(313\) | 2.95618 | − | 28.1261i | 0.167093 | − | 1.58978i | −0.514133 | − | 0.857710i | \(-0.671886\pi\) |
0.681226 | − | 0.732073i | \(-0.261447\pi\) | |||||||
\(314\) | 8.43935 | + | 6.13155i | 0.476260 | + | 0.346023i | ||||
\(315\) | 9.21783 | + | 5.01627i | 0.519366 | + | 0.282635i | ||||
\(316\) | 4.57569 | + | 14.0825i | 0.257403 | + | 0.792204i | ||||
\(317\) | −1.01634 | − | 0.452505i | −0.0570836 | − | 0.0254152i | 0.377996 | − | 0.925807i | \(-0.376613\pi\) |
−0.435080 | + | 0.900392i | \(0.643280\pi\) | |||||||
\(318\) | −2.27437 | − | 0.840291i | −0.127540 | − | 0.0471212i | ||||
\(319\) | −22.5860 | − | 11.9178i | −1.26457 | − | 0.667267i | ||||
\(320\) | 1.59933 | − | 2.77013i | 0.0894055 | − | 0.154855i | ||||
\(321\) | 5.12276 | − | 20.1307i | 0.285925 | − | 1.12358i | ||||
\(322\) | 0.0384890 | − | 0.0427464i | 0.00214491 | − | 0.00238216i | ||||
\(323\) | −0.618308 | + | 1.90296i | −0.0344036 | + | 0.105883i | ||||
\(324\) | 14.9761 | − | 0.756208i | 0.832007 | − | 0.0420116i | ||||
\(325\) | 12.8550 | + | 9.33967i | 0.713065 | + | 0.518072i | ||||
\(326\) | 3.29134 | − | 0.699597i | 0.182291 | − | 0.0387471i | ||||
\(327\) | −7.61508 | − | 4.80984i | −0.421115 | − | 0.265985i | ||||
\(328\) | 1.28628 | + | 12.2382i | 0.0710230 | + | 0.675739i | ||||
\(329\) | −0.190795 | + | 0.330466i | −0.0105188 | + | 0.0182192i | ||||
\(330\) | 3.06574 | + | 9.48961i | 0.168763 | + | 0.522386i | ||||
\(331\) | 6.18915 | + | 10.7199i | 0.340187 | + | 0.589221i | 0.984467 | − | 0.175569i | \(-0.0561764\pi\) |
−0.644281 | + | 0.764789i | \(0.722843\pi\) | |||||||
\(332\) | 6.68275 | − | 4.85530i | 0.366763 | − | 0.266469i | ||||
\(333\) | −18.5714 | + | 2.42694i | −1.01770 | + | 0.132995i | ||||
\(334\) | −0.896648 | + | 2.75960i | −0.0490624 | + | 0.150999i | ||||
\(335\) | −3.66801 | + | 34.8988i | −0.200405 | + | 1.90673i | ||||
\(336\) | 1.88228 | − | 3.81230i | 0.102687 | − | 0.207978i | ||||
\(337\) | 9.01561 | + | 10.0128i | 0.491112 | + | 0.545435i | 0.936851 | − | 0.349728i | \(-0.113726\pi\) |
−0.445740 | + | 0.895163i | \(0.647059\pi\) | |||||||
\(338\) | −1.45381 | − | 0.309017i | −0.0790768 | − | 0.0168083i | ||||
\(339\) | 23.8440 | + | 23.2500i | 1.29503 | + | 1.26276i | ||||
\(340\) | −0.786384 | − | 1.36206i | −0.0426477 | − | 0.0738679i | ||||
\(341\) | −12.0518 | + | 17.9899i | −0.652642 | + | 0.974208i | ||||
\(342\) | −10.4095 | + | 3.67503i | −0.562882 | + | 0.198723i | ||||
\(343\) | −11.9104 | + | 8.65342i | −0.643102 | + | 0.467241i | ||||
\(344\) | 9.61676 | − | 10.6805i | 0.518501 | − | 0.575854i | ||||
\(345\) | −0.275619 | + | 0.349278i | −0.0148388 | + | 0.0188045i | ||||
\(346\) | −8.22923 | + | 3.66389i | −0.442406 | + | 0.196972i | ||||
\(347\) | 8.89717 | − | 3.96128i | 0.477625 | − | 0.212652i | −0.153781 | − | 0.988105i | \(-0.549145\pi\) |
0.631406 | + | 0.775453i | \(0.282478\pi\) | |||||||
\(348\) | 8.22407 | + | 20.6424i | 0.440856 | + | 1.10655i | ||||
\(349\) | −2.97107 | + | 3.29971i | −0.159038 | + | 0.176629i | −0.817397 | − | 0.576074i | \(-0.804584\pi\) |
0.658360 | + | 0.752703i | \(0.271251\pi\) | |||||||
\(350\) | 2.19156 | − | 1.59226i | 0.117144 | − | 0.0851100i | ||||
\(351\) | 20.5027 | + | 0.297748i | 1.09436 | + | 0.0158926i | ||||
\(352\) | 16.9810 | − | 6.24142i | 0.905090 | − | 0.332669i | ||||
\(353\) | −16.2618 | − | 28.1662i | −0.865527 | − | 1.49914i | −0.866523 | − | 0.499137i | \(-0.833651\pi\) |
0.000996749 | − | 1.00000i | \(-0.499683\pi\) | |||||||
\(354\) | −0.566690 | + | 2.22689i | −0.0301193 | + | 0.118358i | ||||
\(355\) | −25.6192 | − | 5.44553i | −1.35973 | − | 0.289019i | ||||
\(356\) | −2.37312 | − | 2.63561i | −0.125775 | − | 0.139687i | ||||
\(357\) | −0.351767 | − | 0.527000i | −0.0186175 | − | 0.0278918i | ||||
\(358\) | −0.425736 | + | 4.05061i | −0.0225008 | + | 0.214081i | ||||
\(359\) | −8.58143 | + | 26.4109i | −0.452911 | + | 1.39392i | 0.420660 | + | 0.907218i | \(0.361799\pi\) |
−0.873571 | + | 0.486697i | \(0.838201\pi\) | |||||||
\(360\) | 7.32347 | − | 17.6328i | 0.385981 | − | 0.929330i | ||||
\(361\) | −17.4395 | + | 12.6705i | −0.917868 | + | 0.666870i | ||||
\(362\) | −0.721600 | − | 1.24985i | −0.0379264 | − | 0.0656905i | ||||
\(363\) | 7.11107 | − | 17.6758i | 0.373234 | − | 0.927737i | ||||
\(364\) | 3.82761 | − | 6.62962i | 0.200621 | − | 0.347487i | ||||
\(365\) | −0.925362 | − | 8.80424i | −0.0484357 | − | 0.460835i | ||||
\(366\) | −12.1257 | + | 6.37227i | −0.633822 | + | 0.333084i | ||||
\(367\) | −1.14658 | + | 0.243713i | −0.0598511 | + | 0.0127217i | −0.237740 | − | 0.971329i | \(-0.576407\pi\) |
0.177889 | + | 0.984051i | \(0.443073\pi\) | |||||||
\(368\) | 0.145831 | + | 0.105952i | 0.00760197 | + | 0.00552315i | ||||
\(369\) | −4.05213 | − | 16.9496i | −0.210945 | − | 0.882359i | ||||
\(370\) | −3.34912 | + | 10.3075i | −0.174112 | + | 0.535862i | ||||
\(371\) | 1.88748 | − | 2.09626i | 0.0979929 | − | 0.108832i | ||||
\(372\) | 18.1361 | − | 5.10558i | 0.940315 | − | 0.264712i | ||||
\(373\) | −10.8834 | + | 18.8506i | −0.563520 | + | 0.976046i | 0.433665 | + | 0.901074i | \(0.357220\pi\) |
−0.997186 | + | 0.0749719i | \(0.976113\pi\) | |||||||
\(374\) | 0.102681 | − | 0.593290i | 0.00530951 | − | 0.0306783i | ||||
\(375\) | 3.89609 | − | 3.23720i | 0.201193 | − | 0.167168i | ||||
\(376\) | 0.634233 | + | 0.282379i | 0.0327081 | + | 0.0145626i | ||||
\(377\) | 9.38942 | + | 28.8977i | 0.483580 | + | 1.48831i | ||||
\(378\) | 1.12841 | − | 3.30862i | 0.0580392 | − | 0.170177i | ||||
\(379\) | 13.1440 | + | 9.54967i | 0.675161 | + | 0.490533i | 0.871749 | − | 0.489953i | \(-0.162986\pi\) |
−0.196588 | + | 0.980486i | \(0.562986\pi\) | |||||||
\(380\) | 3.33224 | − | 31.7041i | 0.170940 | − | 1.62639i | ||||
\(381\) | −8.45100 | − | 21.2120i | −0.432958 | − | 1.08672i | ||||
\(382\) | 6.68218 | + | 1.42034i | 0.341890 | + | 0.0726709i | ||||
\(383\) | −0.647381 | − | 6.15942i | −0.0330796 | − | 0.314732i | −0.998533 | − | 0.0541542i | \(-0.982754\pi\) |
0.965453 | − | 0.260577i | \(-0.0839129\pi\) | |||||||
\(384\) | −18.7246 | − | 6.91801i | −0.955534 | − | 0.353033i | ||||
\(385\) | −11.5762 | − | 0.772734i | −0.589977 | − | 0.0393821i | ||||
\(386\) | 3.89830 | 0.198418 | ||||||||
\(387\) | −11.5445 | + | 16.7630i | −0.586839 | + | 0.852114i | ||||
\(388\) | 0.0457401 | + | 0.140773i | 0.00232210 | + | 0.00714669i | ||||
\(389\) | 0.707409 | − | 0.150365i | 0.0358671 | − | 0.00762378i | −0.189943 | − | 0.981795i | \(-0.560830\pi\) |
0.225810 | + | 0.974171i | \(0.427497\pi\) | |||||||
\(390\) | 5.25304 | − | 10.6393i | 0.265998 | − | 0.538743i | ||||
\(391\) | 0.0245409 | − | 0.0109263i | 0.00124109 | − | 0.000552567i | ||||
\(392\) | 8.00056 | + | 8.88552i | 0.404089 | + | 0.448787i | ||||
\(393\) | −27.5548 | + | 14.4805i | −1.38996 | + | 0.730445i | ||||
\(394\) | −10.8989 | − | 4.85250i | −0.549079 | − | 0.244466i | ||||
\(395\) | −26.7009 | −1.34347 | ||||||||
\(396\) | −14.6878 | + | 7.68720i | −0.738089 | + | 0.386296i | ||||
\(397\) | 4.08994 | 0.205268 | 0.102634 | − | 0.994719i | \(-0.467273\pi\) | ||||
0.102634 | + | 0.994719i | \(0.467273\pi\) | |||||||
\(398\) | −7.01321 | − | 3.12248i | −0.351540 | − | 0.156516i | ||||
\(399\) | 0.510332 | − | 12.8327i | 0.0255486 | − | 0.642441i | ||||
\(400\) | 5.68033 | + | 6.30864i | 0.284016 | + | 0.315432i | ||||
\(401\) | −5.15812 | + | 2.29654i | −0.257584 | + | 0.114684i | −0.531466 | − | 0.847079i | \(-0.678359\pi\) |
0.273882 | + | 0.961763i | \(0.411692\pi\) | |||||||
\(402\) | 11.6645 | − | 0.758940i | 0.581770 | − | 0.0378525i | ||||
\(403\) | 25.2009 | − | 5.35662i | 1.25535 | − | 0.266832i | ||||
\(404\) | 1.05881 | + | 3.25868i | 0.0526777 | + | 0.162125i | ||||
\(405\) | −7.04826 | + | 26.1051i | −0.350231 | + | 1.29717i | ||||
\(406\) | 5.18012 | 0.257085 | ||||||||
\(407\) | 17.5249 | − | 11.0279i | 0.868677 | − | 0.546634i | ||||
\(408\) | −0.886662 | + | 0.736713i | −0.0438963 | + | 0.0364727i | ||||
\(409\) | −0.987666 | − | 9.39701i | −0.0488369 | − | 0.464652i | −0.991423 | − | 0.130690i | \(-0.958281\pi\) |
0.942586 | − | 0.333962i | \(-0.108386\pi\) | |||||||
\(410\) | −9.86414 | − | 2.09669i | −0.487155 | − | 0.103548i | ||||
\(411\) | −17.5983 | + | 22.3014i | −0.868058 | + | 1.10005i | ||||
\(412\) | −0.525386 | + | 4.99871i | −0.0258839 | + | 0.246269i | ||||
\(413\) | −2.16276 | − | 1.57134i | −0.106422 | − | 0.0773204i | ||||
\(414\) | 0.130181 | + | 0.0708435i | 0.00639805 | + | 0.00348177i | ||||
\(415\) | 4.60290 | + | 14.1663i | 0.225948 | + | 0.695395i | ||||
\(416\) | −19.6648 | − | 8.75533i | −0.964145 | − | 0.429265i | ||||
\(417\) | 3.48131 | + | 20.3181i | 0.170480 | + | 0.994981i | ||||
\(418\) | 8.75220 | − | 8.50551i | 0.428084 | − | 0.416018i | ||||
\(419\) | −0.0757820 | + | 0.131258i | −0.00370219 | + | 0.00641238i | −0.867871 | − | 0.496790i | \(-0.834512\pi\) |
0.864168 | + | 0.503203i | \(0.167845\pi\) | |||||||
\(420\) | 7.22768 | + | 7.04762i | 0.352675 | + | 0.343888i | ||||
\(421\) | 11.3595 | − | 12.6160i | 0.553630 | − | 0.614868i | −0.399756 | − | 0.916622i | \(-0.630905\pi\) |
0.953386 | + | 0.301753i | \(0.0975719\pi\) | |||||||
\(422\) | −1.49003 | + | 4.58585i | −0.0725337 | + | 0.223236i | ||||
\(423\) | −0.942451 | − | 0.280145i | −0.0458236 | − | 0.0136211i | ||||
\(424\) | −4.15194 | − | 3.01656i | −0.201636 | − | 0.146497i | ||||
\(425\) | 1.23747 | − | 0.263032i | 0.0600261 | − | 0.0127589i | ||||
\(426\) | −0.346686 | + | 8.71773i | −0.0167970 | + | 0.422375i | ||||
\(427\) | −1.66580 | − | 15.8490i | −0.0806135 | − | 0.766986i | ||||
\(428\) | 9.99085 | − | 17.3047i | 0.482926 | − | 0.836453i | ||||
\(429\) | −20.7247 | + | 9.18551i | −1.00060 | + | 0.443481i | ||||
\(430\) | 5.88900 | + | 10.2000i | 0.283993 | + | 0.491890i | ||||
\(431\) | 20.5242 | − | 14.9117i | 0.988618 | − | 0.718273i | 0.0289998 | − | 0.999579i | \(-0.490768\pi\) |
0.959618 | + | 0.281307i | \(0.0907678\pi\) | |||||||
\(432\) | 10.6813 | + | 2.43300i | 0.513903 | + | 0.117058i | ||||
\(433\) | 5.10950 | − | 15.7254i | 0.245547 | − | 0.755716i | −0.749999 | − | 0.661439i | \(-0.769946\pi\) |
0.995546 | − | 0.0942769i | \(-0.0300539\pi\) | |||||||
\(434\) | 0.459123 | − | 4.36827i | 0.0220386 | − | 0.209684i | ||||
\(435\) | −39.9839 | + | 2.60153i | −1.91708 | + | 0.124734i | ||||
\(436\) | −5.79742 | − | 6.43868i | −0.277646 | − | 0.308357i | ||||
\(437\) | 0.532600 | + | 0.113208i | 0.0254777 | + | 0.00541545i | ||||
\(438\) | −2.83858 | + | 0.799102i | −0.135633 | + | 0.0381825i | ||||
\(439\) | 19.6207 | + | 33.9840i | 0.936443 | + | 1.62197i | 0.772040 | + | 0.635574i | \(0.219237\pi\) |
0.164403 | + | 0.986393i | \(0.447430\pi\) | |||||||
\(440\) | 0.803326 | + | 21.0930i | 0.0382971 | + | 1.00557i | ||||
\(441\) | −12.8655 | − | 11.0094i | −0.612643 | − | 0.524259i | ||||
\(442\) | −0.579580 | + | 0.421089i | −0.0275678 | + | 0.0200292i | ||||
\(443\) | 21.5389 | − | 23.9214i | 1.02334 | − | 1.13654i | 0.0327827 | − | 0.999463i | \(-0.489563\pi\) |
0.990561 | − | 0.137075i | \(-0.0437703\pi\) | |||||||
\(444\) | −17.8288 | − | 2.59374i | −0.846117 | − | 0.123093i | ||||
\(445\) | 5.84239 | − | 2.60120i | 0.276956 | − | 0.123309i | ||||
\(446\) | −0.202515 | + | 0.0901657i | −0.00958939 | + | 0.00426947i | ||||
\(447\) | 7.76739 | + | 1.13000i | 0.367385 | + | 0.0534473i | ||||
\(448\) | 0.829451 | − | 0.921199i | 0.0391879 | − | 0.0435226i | ||||
\(449\) | 20.9085 | − | 15.1909i | 0.986731 | − | 0.716902i | 0.0275281 | − | 0.999621i | \(-0.491236\pi\) |
0.959203 | + | 0.282719i | \(0.0912364\pi\) | |||||||
\(450\) | 5.30318 | + | 4.53810i | 0.249994 | + | 0.213928i | ||||
\(451\) | 11.9096 | + | 15.1447i | 0.560799 | + | 0.713134i | ||||
\(452\) | 16.0178 | + | 27.7437i | 0.753415 | + | 1.30495i | ||||
\(453\) | 4.88647 | − | 1.37561i | 0.229586 | − | 0.0646318i | ||||
\(454\) | −10.1813 | − | 2.16410i | −0.477831 | − | 0.101566i | ||||
\(455\) | 9.23679 | + | 10.2585i | 0.433027 | + | 0.480926i | ||||
\(456\) | −23.3167 | + | 1.51709i | −1.09191 | + | 0.0710441i | ||||
\(457\) | 1.32921 | − | 12.6466i | 0.0621780 | − | 0.591584i | −0.918427 | − | 0.395590i | \(-0.870540\pi\) |
0.980605 | − | 0.195994i | \(-0.0627932\pi\) | |||||||
\(458\) | 2.39760 | − | 7.37904i | 0.112032 | − | 0.344800i | ||||
\(459\) | 1.10991 | − | 1.19725i | 0.0518063 | − | 0.0558830i | ||||
\(460\) | −0.346255 | + | 0.251569i | −0.0161442 | + | 0.0117295i | ||||
\(461\) | 9.51087 | + | 16.4733i | 0.442965 | + | 0.767238i | 0.997908 | − | 0.0646502i | \(-0.0205932\pi\) |
−0.554943 | + | 0.831889i | \(0.687260\pi\) | |||||||
\(462\) | 0.397512 | + | 3.84420i | 0.0184939 | + | 0.178849i | ||||
\(463\) | 11.4334 | − | 19.8032i | 0.531353 | − | 0.920331i | −0.467977 | − | 0.883741i | \(-0.655017\pi\) |
0.999330 | − | 0.0365903i | \(-0.0116497\pi\) | |||||||
\(464\) | 1.69684 | + | 16.1443i | 0.0787738 | + | 0.749482i | ||||
\(465\) | −1.35005 | + | 33.9481i | −0.0626069 | + | 1.57430i | ||||
\(466\) | 1.90448 | − | 0.404810i | 0.0882233 | − | 0.0187524i | ||||
\(467\) | −12.8819 | − | 9.35921i | −0.596101 | − | 0.433093i | 0.248392 | − | 0.968660i | \(-0.420098\pi\) |
−0.844493 | + | 0.535567i | \(0.820098\pi\) | |||||||
\(468\) | 18.9069 | + | 5.62012i | 0.873973 | + | 0.259790i | ||||
\(469\) | −4.20232 | + | 12.9334i | −0.194045 | + | 0.597210i | ||||
\(470\) | −0.380700 | + | 0.422810i | −0.0175604 | + | 0.0195028i | ||||
\(471\) | −22.3882 | − | 21.8305i | −1.03159 | − | 1.00589i | ||||
\(472\) | −2.43188 | + | 4.21215i | −0.111936 | + | 0.193880i | ||||
\(473\) | 3.83737 | − | 22.1723i | 0.176443 | − | 1.01948i | ||||
\(474\) | 1.50206 | + | 8.76655i | 0.0689920 | + | 0.402661i | ||||
\(475\) | 23.4259 | + | 10.4299i | 1.07486 | + | 0.478556i | ||||
\(476\) | −0.188347 | − | 0.579671i | −0.00863285 | − | 0.0265692i | ||||
\(477\) | 6.38400 | + | 3.47412i | 0.292303 | + | 0.159069i | ||||
\(478\) | 10.8436 | + | 7.87832i | 0.495973 | + | 0.360346i | ||||
\(479\) | 1.71322 | − | 16.3002i | 0.0782789 | − | 0.744774i | −0.883033 | − | 0.469311i | \(-0.844502\pi\) |
0.961312 | − | 0.275463i | \(-0.0888311\pi\) | |||||||
\(480\) | 17.5843 | − | 22.2837i | 0.802609 | − | 1.01711i | ||||
\(481\) | −24.0979 | − | 5.12217i | −1.09877 | − | 0.233551i | ||||
\(482\) | −0.915880 | − | 8.71402i | −0.0417172 | − | 0.396913i | ||||
\(483\) | −0.132620 | + | 0.110192i | −0.00603442 | + | 0.00501391i | ||||
\(484\) | 11.1920 | − | 14.5133i | 0.508728 | − | 0.659694i | ||||
\(485\) | −0.266911 | −0.0121198 | ||||||||
\(486\) | 8.96742 | + | 0.845568i | 0.406771 | + | 0.0383558i | ||||
\(487\) | 7.04142 | + | 21.6713i | 0.319077 | + | 0.982019i | 0.974044 | + | 0.226361i | \(0.0726828\pi\) |
−0.654966 | + | 0.755658i | \(0.727317\pi\) | |||||||
\(488\) | −28.3605 | + | 6.02821i | −1.28382 | + | 0.272884i | ||||
\(489\) | −10.0653 | + | 0.654890i | −0.455167 | + | 0.0296151i | ||||
\(490\) | −8.95145 | + | 3.98544i | −0.404385 | + | 0.180044i | ||||
\(491\) | −29.2029 | − | 32.4331i | −1.31791 | − | 1.46368i | −0.788071 | − | 0.615584i | \(-0.788920\pi\) |
−0.529836 | − | 0.848100i | \(-0.677747\pi\) | |||||||
\(492\) | 0.666143 | − | 16.7507i | 0.0300320 | − | 0.755181i | ||||
\(493\) | 2.21006 | + | 0.983982i | 0.0995360 | + | 0.0443163i | ||||
\(494\) | −14.5209 | −0.653324 | ||||||||
\(495\) | −4.99890 | − | 29.4728i | −0.224684 | − | 1.32470i | ||||
\(496\) | 13.7645 | 0.618045 | ||||||||
\(497\) | −9.27261 | − | 4.12843i | −0.415933 | − | 0.185185i | ||||
\(498\) | 4.39219 | − | 2.30817i | 0.196819 | − | 0.103431i | ||||
\(499\) | −13.4519 | − | 14.9398i | −0.602189 | − | 0.668798i | 0.362563 | − | 0.931959i | \(-0.381902\pi\) |
−0.964752 | + | 0.263161i | \(0.915235\pi\) | |||||||
\(500\) | 4.45142 | − | 1.98190i | 0.199074 | − | 0.0886333i | ||||
\(501\) | 3.85070 | − | 7.79906i | 0.172037 | − | 0.348436i | ||||
\(502\) | 0.329111 | − | 0.0699546i | 0.0146889 | − | 0.00312223i | ||||
\(503\) | −3.27815 | − | 10.0891i | −0.146165 | − | 0.449850i | 0.850994 | − | 0.525176i | \(-0.176000\pi\) |
−0.997159 | + | 0.0753254i | \(0.976000\pi\) | |||||||
\(504\) | 4.19681 | − | 6.09393i | 0.186941 | − | 0.271445i | ||||
\(505\) | −6.17856 | −0.274942 | ||||||||
\(506\) | −0.163487 | − | 0.0109131i | −0.00726791 | − | 0.000485148i | ||||
\(507\) | 4.17919 | + | 1.54405i | 0.185604 | + | 0.0685736i | ||||
\(508\) | −2.29592 | − | 21.8442i | −0.101865 | − | 0.969179i | ||||
\(509\) | 43.4966 | + | 9.24549i | 1.92795 | + | 0.409799i | 0.999239 | + | 0.0390051i | \(0.0124189\pi\) |
0.928715 | + | 0.370794i | \(0.120914\pi\) | |||||||
\(510\) | −0.349654 | − | 0.877630i | −0.0154829 | − | 0.0388621i | ||||
\(511\) | 0.358610 | − | 3.41195i | 0.0158640 | − | 0.150936i | ||||
\(512\) | −16.5301 | − | 12.0098i | −0.730534 | − | 0.530764i | ||||
\(513\) | 32.4645 | − | 6.40930i | 1.43334 | − | 0.282977i | ||||
\(514\) | −1.95899 | − | 6.02915i | −0.0864073 | − | 0.265934i | ||||
\(515\) | −8.27992 | − | 3.68646i | −0.364857 | − | 0.162445i | ||||
\(516\) | −15.0592 | + | 12.5125i | −0.662946 | + | 0.550831i | ||||
\(517\) | 1.07591 | − | 0.154679i | 0.0473187 | − | 0.00680275i | ||||
\(518\) | −2.10004 | + | 3.63738i | −0.0922707 | + | 0.159817i | ||||
\(519\) | 25.9921 | − | 7.31715i | 1.14093 | − | 0.321187i | ||||
\(520\) | 16.8052 | − | 18.6641i | 0.736956 | − | 0.818473i | ||||
\(521\) | 5.23819 | − | 16.1215i | 0.229489 | − | 0.706296i | −0.768315 | − | 0.640071i | \(-0.778905\pi\) |
0.997805 | − | 0.0662243i | \(-0.0210953\pi\) | |||||||
\(522\) | 3.10344 | + | 12.9813i | 0.135834 | + | 0.568177i | ||||
\(523\) | −24.4438 | − | 17.7595i | −1.06885 | − | 0.776567i | −0.0931472 | − | 0.995652i | \(-0.529693\pi\) |
−0.975706 | + | 0.219085i | \(0.929693\pi\) | |||||||
\(524\) | −29.2890 | + | 6.22557i | −1.27950 | + | 0.271965i | ||||
\(525\) | −7.18814 | + | 3.77748i | −0.313716 | + | 0.164863i | ||||
\(526\) | 0.869448 | + | 8.27225i | 0.0379098 | + | 0.360687i | ||||
\(527\) | 1.02565 | − | 1.77648i | 0.0446780 | − | 0.0773845i | ||||
\(528\) | −11.8506 | + | 2.49812i | −0.515732 | + | 0.108717i | ||||
\(529\) | 11.4963 | + | 19.9123i | 0.499841 | + | 0.865750i | ||||
\(530\) | 3.40255 | − | 2.47210i | 0.147797 | − | 0.107381i | ||||
\(531\) | 2.64203 | − | 6.36125i | 0.114654 | − | 0.276055i | ||||
\(532\) | 3.81763 | − | 11.7495i | 0.165515 | − | 0.509404i | ||||
\(533\) | 2.39617 | − | 22.7980i | 0.103790 | − | 0.987491i | ||||
\(534\) | −1.18270 | − | 1.77187i | −0.0511805 | − | 0.0766761i | ||||
\(535\) | 24.1099 | + | 26.7768i | 1.04236 | + | 1.15766i | ||||
\(536\) | 24.2010 | + | 5.14409i | 1.04533 | + | 0.222191i | ||||
\(537\) | 3.01093 | − | 11.8319i | 0.129931 | − | 0.510584i | ||||
\(538\) | −0.141268 | − | 0.244683i | −0.00609050 | − | 0.0105491i | ||||
\(539\) | 18.0112 | + | 5.10310i | 0.775799 | + | 0.219806i | ||||
\(540\) | −13.3311 | + | 22.3348i | −0.573680 | + | 0.961136i | ||||
\(541\) | −9.57164 | + | 6.95421i | −0.411517 | + | 0.298985i | −0.774216 | − | 0.632922i | \(-0.781855\pi\) |
0.362699 | + | 0.931906i | \(0.381855\pi\) | |||||||
\(542\) | 8.48229 | − | 9.42053i | 0.364345 | − | 0.404647i | ||||
\(543\) | 1.60117 | + | 4.01892i | 0.0687126 | + | 0.172469i | ||||
\(544\) | −1.56569 | + | 0.697091i | −0.0671285 | + | 0.0298875i | ||||
\(545\) | 14.2727 | − | 6.35461i | 0.611375 | − | 0.272202i | ||||
\(546\) | 2.84849 | − | 3.60975i | 0.121904 | − | 0.154483i | ||||
\(547\) | 1.70348 | − | 1.89190i | 0.0728355 | − | 0.0808920i | −0.705626 | − | 0.708585i | \(-0.749334\pi\) |
0.778461 | + | 0.627693i | \(0.216001\pi\) | |||||||
\(548\) | −22.1084 | + | 16.0627i | −0.944424 | + | 0.686164i | ||||
\(549\) | 38.7194 | − | 13.6697i | 1.65251 | − | 0.583409i | ||||
\(550\) | −7.42425 | − | 2.10350i | −0.316571 | − | 0.0896937i | ||||
\(551\) | 24.5177 | + | 42.4659i | 1.04449 | + | 1.80911i | ||||
\(552\) | 0.224604 | + | 0.219008i | 0.00955976 | + | 0.00932160i | ||||
\(553\) | −10.1214 | − | 2.15137i | −0.430407 | − | 0.0914857i | ||||
\(554\) | 1.10945 | + | 1.23217i | 0.0471360 | + | 0.0523498i | ||||
\(555\) | 14.3829 | − | 29.1307i | 0.610522 | − | 1.23653i | ||||
\(556\) | −2.07276 | + | 19.7210i | −0.0879048 | + | 0.836358i | ||||
\(557\) | 2.98987 | − | 9.20189i | 0.126685 | − | 0.389896i | −0.867519 | − | 0.497404i | \(-0.834287\pi\) |
0.994204 | + | 0.107507i | \(0.0342868\pi\) | |||||||
\(558\) | 11.2219 | − | 1.46650i | 0.475061 | − | 0.0620819i | ||||
\(559\) | −21.6599 | + | 15.7368i | −0.916117 | + | 0.665598i | ||||
\(560\) | 3.68748 | + | 6.38690i | 0.155824 | + | 0.269896i | ||||
\(561\) | −0.560625 | + | 1.71561i | −0.0236696 | + | 0.0724331i | ||||
\(562\) | −5.25175 | + | 9.09630i | −0.221532 | + | 0.383704i | ||||
\(563\) | 2.50735 | + | 23.8558i | 0.105672 | + | 1.00540i | 0.910953 | + | 0.412510i | \(0.135348\pi\) |
−0.805281 | + | 0.592893i | \(0.797986\pi\) | |||||||
\(564\) | −0.799639 | − | 0.505068i | −0.0336709 | − | 0.0212672i | ||||
\(565\) | −56.5054 | + | 12.0106i | −2.37720 | + | 0.505290i | ||||
\(566\) | 9.60027 | + | 6.97501i | 0.403530 | + | 0.293181i | ||||
\(567\) | −4.77512 | + | 9.32766i | −0.200536 | + | 0.391725i | ||||
\(568\) | −5.70659 | + | 17.5631i | −0.239443 | + | 0.736930i | ||||
\(569\) | −25.1721 | + | 27.9565i | −1.05527 | + | 1.17200i | −0.0706111 | + | 0.997504i | \(0.522495\pi\) |
−0.984659 | + | 0.174492i | \(0.944172\pi\) | |||||||
\(570\) | 4.72236 | − | 18.5572i | 0.197798 | − | 0.777277i | ||||
\(571\) | 7.37740 | − | 12.7780i | 0.308735 | − | 0.534744i | −0.669351 | − | 0.742946i | \(-0.733428\pi\) |
0.978086 | + | 0.208202i | \(0.0667612\pi\) | |||||||
\(572\) | −21.5844 | + | 3.10307i | −0.902488 | + | 0.129746i | ||||
\(573\) | −19.2089 | − | 7.09695i | −0.802463 | − | 0.296479i | ||||
\(574\) | −3.57023 | − | 1.58957i | −0.149018 | − | 0.0663473i | ||||
\(575\) | −0.106386 | − | 0.327424i | −0.00443662 | − | 0.0136545i | ||||
\(576\) | 2.80545 | + | 1.52670i | 0.116894 | + | 0.0636126i | ||||
\(577\) | 18.0466 | + | 13.1116i | 0.751289 | + | 0.545843i | 0.896226 | − | 0.443598i | \(-0.146298\pi\) |
−0.144937 | + | 0.989441i | \(0.546298\pi\) | |||||||
\(578\) | 1.02080 | − | 9.71227i | 0.0424597 | − | 0.403977i | ||||
\(579\) | −11.5638 | − | 1.68231i | −0.480576 | − | 0.0699143i | ||||
\(580\) | −37.7013 | − | 8.01366i | −1.56546 | − | 0.332749i | ||||
\(581\) | 0.603385 | + | 5.74083i | 0.0250326 | + | 0.238170i | ||||
\(582\) | 0.0150151 | + | 0.0876332i | 0.000622396 | + | 0.00363251i | ||||
\(583\) | −8.01732 | − | 0.535173i | −0.332044 | − | 0.0221646i | ||||
\(584\) | −6.24181 | −0.258288 | ||||||||
\(585\) | −20.1739 | + | 29.2933i | −0.834087 | + | 1.21113i | ||||
\(586\) | 0.153568 | + | 0.472634i | 0.00634384 | + | 0.0195243i | ||||
\(587\) | 2.44553 | − | 0.519814i | 0.100938 | − | 0.0214550i | −0.157166 | − | 0.987572i | \(-0.550236\pi\) |
0.258104 | + | 0.966117i | \(0.416902\pi\) | |||||||
\(588\) | −9.04302 | − | 13.5478i | −0.372928 | − | 0.558703i | ||||
\(589\) | 37.9836 | − | 16.9114i | 1.56508 | − | 0.696821i | ||||
\(590\) | −2.66709 | − | 2.96210i | −0.109802 | − | 0.121948i | ||||
\(591\) | 30.2361 | + | 19.0978i | 1.24375 | + | 0.785577i | ||||
\(592\) | −12.0242 | − | 5.35351i | −0.494190 | − | 0.220028i | ||||
\(593\) | −10.8953 | −0.447417 | −0.223708 | − | 0.974656i | \(-0.571816\pi\) | ||||
−0.223708 | + | 0.974656i | \(0.571816\pi\) | |||||||
\(594\) | −9.39539 | + | 3.29925i | −0.385498 | + | 0.135370i | ||||
\(595\) | 1.09907 | 0.0450577 | ||||||||
\(596\) | 6.89767 | + | 3.07104i | 0.282540 | + | 0.125795i | ||||
\(597\) | 19.4563 | + | 12.2890i | 0.796294 | + | 0.502955i | ||||
\(598\) | 0.130449 | + | 0.144878i | 0.00533445 | + | 0.00592451i | ||||
\(599\) | −33.6533 | + | 14.9834i | −1.37504 | + | 0.612205i | −0.955353 | − | 0.295466i | \(-0.904525\pi\) |
−0.419682 | + | 0.907671i | \(0.637858\pi\) | |||||||
\(600\) | 8.20203 | + | 12.2879i | 0.334846 | + | 0.501651i | ||||
\(601\) | 15.1166 | − | 3.21313i | 0.616618 | − | 0.131066i | 0.110995 | − | 0.993821i | \(-0.464596\pi\) |
0.505623 | + | 0.862755i | \(0.331263\pi\) | |||||||
\(602\) | 1.41047 | + | 4.34099i | 0.0574866 | + | 0.176925i | ||||
\(603\) | −34.9287 | − | 2.78249i | −1.42241 | − | 0.113312i | ||||
\(604\) | 4.88321 | 0.198695 | ||||||||
\(605\) | 18.6534 | + | 27.2813i | 0.758368 | + | 1.10914i | ||||
\(606\) | 0.347575 | + | 2.02857i | 0.0141193 | + | 0.0824049i | ||||
\(607\) | 2.66306 | + | 25.3373i | 0.108090 | + | 1.02841i | 0.905319 | + | 0.424733i | \(0.139632\pi\) |
−0.797228 | + | 0.603678i | \(0.793701\pi\) | |||||||
\(608\) | −33.9795 | − | 7.22257i | −1.37805 | − | 0.292914i | ||||
\(609\) | −15.3662 | − | 2.23548i | −0.622669 | − | 0.0905860i | ||||
\(610\) | 2.48369 | − | 23.6307i | 0.100562 | − | 0.956781i | ||||
\(611\) | −1.04630 | − | 0.760183i | −0.0423289 | − | 0.0307537i | ||||
\(612\) | 1.33981 | − | 0.819280i | 0.0541587 | − | 0.0331174i | ||||
\(613\) | −11.6728 | − | 35.9252i | −0.471461 | − | 1.45101i | −0.850672 | − | 0.525697i | \(-0.823805\pi\) |
0.379211 | − | 0.925310i | \(-0.376195\pi\) | |||||||
\(614\) | 1.84180 | + | 0.820023i | 0.0743290 | + | 0.0330934i | ||||
\(615\) | 28.3559 | + | 10.4764i | 1.14342 | + | 0.422450i | ||||
\(616\) | −1.39501 | + | 8.06037i | −0.0562066 | + | 0.324761i | ||||
\(617\) | −20.9464 | + | 36.2802i | −0.843271 | + | 1.46059i | 0.0438437 | + | 0.999038i | \(0.486040\pi\) |
−0.887115 | + | 0.461549i | \(0.847294\pi\) | |||||||
\(618\) | −0.744564 | + | 2.92588i | −0.0299508 | + | 0.117696i | ||||
\(619\) | −4.00783 | + | 4.45115i | −0.161088 | + | 0.178907i | −0.818286 | − | 0.574812i | \(-0.805075\pi\) |
0.657197 | + | 0.753719i | \(0.271742\pi\) | |||||||
\(620\) | −10.0993 | + | 31.0823i | −0.405596 | + | 1.24830i | ||||
\(621\) | −0.355594 | − | 0.266328i | −0.0142695 | − | 0.0106874i | ||||
\(622\) | −5.06974 | − | 3.68338i | −0.203278 | − | 0.147690i | ||||
\(623\) | 2.42424 | − | 0.515288i | 0.0971251 | − | 0.0206446i | ||||
\(624\) | 12.1832 | + | 7.69516i | 0.487719 | + | 0.308053i | ||||
\(625\) | 3.02291 | + | 28.7611i | 0.120917 | + | 1.15044i | ||||
\(626\) | 8.17057 | − | 14.1518i | 0.326562 | − | 0.565621i | ||||
\(627\) | −29.6329 | + | 21.4535i | −1.18342 | + | 0.856772i | ||||
\(628\) | −15.0399 | − | 26.0498i | −0.600157 | − | 1.03950i | ||||
\(629\) | −1.58690 | + | 1.15295i | −0.0632739 | + | 0.0459712i | ||||
\(630\) | 3.68679 | + | 4.81423i | 0.146885 | + | 0.191803i | ||||
\(631\) | −6.64368 | + | 20.4471i | −0.264481 | + | 0.813988i | 0.727332 | + | 0.686286i | \(0.240760\pi\) |
−0.991813 | + | 0.127702i | \(0.959240\pi\) | |||||||
\(632\) | −1.96786 | + | 18.7229i | −0.0782772 | + | 0.744758i | ||||
\(633\) | 6.39902 | − | 12.9603i | 0.254338 | − | 0.515127i | ||||
\(634\) | −0.430138 | − | 0.477717i | −0.0170830 | − | 0.0189726i | ||||
\(635\) | 38.7416 | + | 8.23479i | 1.53741 | + | 0.326788i | ||||
\(636\) | 5.00568 | + | 4.88097i | 0.198488 | + | 0.193543i | ||||
\(637\) | −11.1368 | − | 19.2895i | −0.441256 | − | 0.764278i | ||||
\(638\) | −9.12129 | − | 11.5990i | −0.361115 | − | 0.459208i | ||||
\(639\) | 4.79053 | − | 25.7104i | 0.189510 | − | 1.01709i | ||||
\(640\) | 28.0127 | − | 20.3525i | 1.10730 | − | 0.804501i | ||||
\(641\) | 8.58963 | − | 9.53975i | 0.339270 | − | 0.376798i | −0.549232 | − | 0.835670i | \(-0.685080\pi\) |
0.888502 | + | 0.458872i | \(0.151746\pi\) | |||||||
\(642\) | 7.43514 | − | 9.42218i | 0.293442 | − | 0.371864i | ||||
\(643\) | 25.9041 | − | 11.5332i | 1.02156 | − | 0.454827i | 0.173558 | − | 0.984824i | \(-0.444473\pi\) |
0.848000 | + | 0.529997i | \(0.177807\pi\) | |||||||
\(644\) | −0.151523 | + | 0.0674625i | −0.00597085 | + | 0.00265839i | ||||
\(645\) | −13.0672 | − | 32.7986i | −0.514519 | − | 1.29144i | ||||
\(646\) | −0.773607 | + | 0.859177i | −0.0304372 | + | 0.0338039i | ||||
\(647\) | 14.1536 | − | 10.2832i | 0.556436 | − | 0.404274i | −0.273717 | − | 0.961810i | \(-0.588253\pi\) |
0.830153 | + | 0.557536i | \(0.188253\pi\) | |||||||
\(648\) | 17.7857 | + | 6.86625i | 0.698687 | + | 0.269732i | ||||
\(649\) | 0.289810 | + | 7.60956i | 0.0113760 | + | 0.298701i | ||||
\(650\) | 4.59060 | + | 7.95116i | 0.180058 | + | 0.311870i | ||||
\(651\) | −3.24705 | + | 12.7598i | −0.127262 | + | 0.500095i | ||||
\(652\) | −9.49066 | − | 2.01730i | −0.371683 | − | 0.0790036i | ||||
\(653\) | −19.6070 | − | 21.7758i | −0.767282 | − | 0.852152i | 0.225230 | − | 0.974306i | \(-0.427687\pi\) |
−0.992511 | + | 0.122153i | \(0.961020\pi\) | |||||||
\(654\) | −2.88928 | − | 4.32858i | −0.112980 | − | 0.169261i | ||||
\(655\) | 5.64400 | − | 53.6991i | 0.220529 | − | 2.09820i | ||||
\(656\) | 3.78455 | − | 11.6477i | 0.147762 | − | 0.454764i | ||||
\(657\) | 8.76516 | − | 1.14545i | 0.341961 | − | 0.0446881i | ||||
\(658\) | −0.178378 | + | 0.129599i | −0.00695388 | + | 0.00505229i | ||||
\(659\) | −13.7935 | − | 23.8911i | −0.537319 | − | 0.930664i | −0.999047 | − | 0.0436422i | \(-0.986104\pi\) |
0.461728 | − | 0.887021i | \(-0.347229\pi\) | |||||||
\(660\) | 3.05387 | − | 28.5934i | 0.118872 | − | 1.11300i | ||||
\(661\) | −14.8776 | + | 25.7688i | −0.578672 | + | 1.00229i | 0.416960 | + | 0.908925i | \(0.363096\pi\) |
−0.995632 | + | 0.0933649i | \(0.970238\pi\) | |||||||
\(662\) | 0.747623 | + | 7.11315i | 0.0290572 | + | 0.276461i | ||||
\(663\) | 1.90097 | − | 0.998992i | 0.0738277 | − | 0.0387976i | ||||
\(664\) | 10.2728 | − | 2.18354i | 0.398660 | − | 0.0847378i | ||||
\(665\) | 18.0228 | + | 13.0943i | 0.698893 | + | 0.507775i | ||||
\(666\) | −10.3734 | − | 3.08351i | −0.401961 | − | 0.119484i | ||||
\(667\) | 0.203437 | − | 0.626115i | 0.00787711 | − | 0.0242433i | ||||
\(668\) | 5.59853 | − | 6.21779i | 0.216613 | − | 0.240574i | ||||
\(669\) | 0.639648 | − | 0.180070i | 0.0247302 | − | 0.00696191i | ||||
\(670\) | −10.1380 | + | 17.5596i | −0.391666 | + | 0.678385i | ||||
\(671\) | −32.5548 | + | 31.6373i | −1.25677 | + | 1.22134i | ||||
\(672\) | 8.46107 | − | 7.03017i | 0.326393 | − | 0.271195i | ||||
\(673\) | 8.81907 | + | 3.92650i | 0.339950 | + | 0.151356i | 0.569609 | − | 0.821916i | \(-0.307094\pi\) |
−0.229659 | + | 0.973271i | \(0.573761\pi\) | |||||||
\(674\) | 2.40577 | + | 7.40418i | 0.0926666 | + | 0.285198i | ||||
\(675\) | −13.7728 | − | 15.7503i | −0.530115 | − | 0.606229i | ||||
\(676\) | 3.46724 | + | 2.51910i | 0.133355 | + | 0.0968883i | ||||
\(677\) | 0.0102558 | − | 0.0975777i | 0.000394163 | − | 0.00375021i | −0.994323 | − | 0.106403i | \(-0.966067\pi\) |
0.994717 | + | 0.102653i | \(0.0327332\pi\) | |||||||
\(678\) | 7.12208 | + | 17.8764i | 0.273522 | + | 0.686540i | ||||
\(679\) | −0.101177 | − | 0.0215058i | −0.00388281 | − | 0.000825318i | ||||
\(680\) | −0.209018 | − | 1.98868i | −0.00801549 | − | 0.0762623i | ||||
\(681\) | 29.2676 | + | 10.8132i | 1.12153 | + | 0.414364i | ||||
\(682\) | −10.5896 | + | 6.66372i | −0.405496 | + | 0.255167i | ||||
\(683\) | 30.5246 | 1.16799 | 0.583996 | − | 0.811756i | \(-0.301488\pi\) | ||||
0.583996 | + | 0.811756i | \(0.301488\pi\) | |||||||
\(684\) | 31.7312 | + | 2.52777i | 1.21327 | + | 0.0966517i | ||||
\(685\) | −15.2277 | − | 46.8660i | −0.581820 | − | 1.79066i | ||||
\(686\) | −8.32071 | + | 1.76862i | −0.317686 | + | 0.0675263i | ||||
\(687\) | −10.2966 | + | 20.8543i | −0.392839 | + | 0.795642i | ||||
\(688\) | −13.0671 | + | 5.81784i | −0.498178 | + | 0.221803i | ||||
\(689\) | 6.39713 | + | 7.10473i | 0.243711 | + | 0.270669i | ||||
\(690\) | −0.227574 | + | 0.119594i | −0.00866358 | + | 0.00455286i | ||||
\(691\) | 29.9658 | + | 13.3416i | 1.13995 | + | 0.507540i | 0.887838 | − | 0.460157i | \(-0.152207\pi\) |
0.252116 | + | 0.967697i | \(0.418873\pi\) | |||||||
\(692\) | 25.9748 | 0.987413 | ||||||||
\(693\) | 0.479793 | − | 11.5749i | 0.0182258 | − | 0.439694i | ||||
\(694\) | 5.62741 | 0.213614 | ||||||||
\(695\) | −32.6661 | − | 14.5439i | −1.23910 | − | 0.551681i | ||||
\(696\) | −1.12260 | + | 28.2288i | −0.0425522 | + | 1.07001i | ||||
\(697\) | −1.22127 | − | 1.35635i | −0.0462588 | − | 0.0513756i | ||||
\(698\) | −2.34379 | + | 1.04352i | −0.0887138 | + | 0.0394979i | ||||
\(699\) | −5.82410 | + | 0.378941i | −0.220288 | + | 0.0143329i | ||||
\(700\) | −7.64053 | + | 1.62405i | −0.288785 | + | 0.0613831i | ||||
\(701\) | −2.70365 | − | 8.32098i | −0.102115 | − | 0.314279i | 0.886927 | − | 0.461909i | \(-0.152835\pi\) |
−0.989043 | + | 0.147630i | \(0.952835\pi\) | |||||||
\(702\) | 10.7526 | + | 4.97567i | 0.405829 | + | 0.187795i | ||||
\(703\) | −39.7584 | −1.49952 | ||||||||
\(704\) | −3.52321 | − | 0.235181i | −0.132786 | − | 0.00886373i | ||||
\(705\) | 1.31176 | − | 1.08992i | 0.0494039 | − | 0.0410489i | ||||
\(706\) | −1.96435 | − | 18.6895i | −0.0739293 | − | 0.703390i | ||||
\(707\) | −2.34208 | − | 0.497825i | −0.0880831 | − | 0.0187226i | ||||
\(708\) | 4.10457 | − | 5.20151i | 0.154259 | − | 0.195485i | ||||
\(709\) | −2.79884 | + | 26.6292i | −0.105113 | + | 1.00008i | 0.807114 | + | 0.590395i | \(0.201028\pi\) |
−0.912227 | + | 0.409685i | \(0.865639\pi\) | |||||||
\(710\) | −12.2435 | − | 8.89542i | −0.459490 | − | 0.333839i | ||||
\(711\) | −0.672486 | − | 26.6531i | −0.0252202 | − | 0.999569i | ||||
\(712\) | −1.39340 | − | 4.28845i | −0.0522199 | − | 0.160716i | ||||
\(713\) | −0.509956 | − | 0.227047i | −0.0190980 | − | 0.00850298i | ||||
\(714\) | −0.0618286 | − | 0.360852i | −0.00231388 | − | 0.0135046i | ||||
\(715\) | 6.70577 | − | 38.7459i | 0.250781 | − | 1.44901i | ||||
\(716\) | 5.87217 | − | 10.1709i | 0.219453 | − | 0.380105i | ||||
\(717\) | −28.7662 | − | 28.0496i | −1.07429 | − | 1.04753i | ||||
\(718\) | −10.7368 | + | 11.9244i | −0.400694 | + | 0.445016i | ||||
\(719\) | −4.63672 | + | 14.2703i | −0.172920 | + | 0.532194i | −0.999532 | − | 0.0305782i | \(-0.990265\pi\) |
0.826612 | + | 0.562772i | \(0.190265\pi\) | |||||||
\(720\) | −13.7963 | + | 13.0672i | −0.514159 | + | 0.486987i | ||||
\(721\) | −2.84161 | − | 2.06455i | −0.105827 | − | 0.0768879i | ||||
\(722\) | −12.1834 | + | 2.58965i | −0.453418 | + | 0.0963769i | ||||
\(723\) | −1.04368 | + | 26.2443i | −0.0388150 | + | 0.976036i | ||||
\(724\) | 0.434995 | + | 4.13870i | 0.0161665 | + | 0.153814i | ||||
\(725\) | 15.5020 | − | 26.8502i | 0.575730 | − | 0.997193i | ||||
\(726\) | 7.90774 | − | 7.65906i | 0.293484 | − | 0.284254i | ||||
\(727\) | −13.7663 | − | 23.8438i | −0.510562 | − | 0.884319i | −0.999925 | − | 0.0122391i | \(-0.996104\pi\) |
0.489363 | − | 0.872080i | \(-0.337229\pi\) | |||||||
\(728\) | 7.87410 | − | 5.72087i | 0.291834 | − | 0.212029i | ||||
\(729\) | −26.2358 | − | 6.37816i | −0.971698 | − | 0.236228i | ||||
\(730\) | 1.58069 | − | 4.86486i | 0.0585039 | − | 0.180057i | ||||
\(731\) | −0.222818 | + | 2.11997i | −0.00824123 | + | 0.0784101i | ||||
\(732\) | 39.4156 | − | 2.56455i | 1.45684 | − | 0.0947883i | ||||
\(733\) | 31.9441 | + | 35.4775i | 1.17988 | + | 1.31039i | 0.940630 | + | 0.339433i | \(0.110235\pi\) |
0.239251 | + | 0.970958i | \(0.423098\pi\) | |||||||
\(734\) | −0.662509 | − | 0.140821i | −0.0244536 | − | 0.00519778i | ||||
\(735\) | 28.2733 | − | 7.95932i | 1.04287 | − | 0.293584i | ||||
\(736\) | 0.233195 | + | 0.403906i | 0.00859570 | + | 0.0148882i | ||||
\(737\) | 36.3593 | − | 13.3640i | 1.33931 | − | 0.492267i | ||||
\(738\) | 1.84450 | − | 9.89928i | 0.0678968 | − | 0.364398i | ||||
\(739\) | −1.20421 | + | 0.874910i | −0.0442976 | + | 0.0321841i | −0.609714 | − | 0.792622i | \(-0.708716\pi\) |
0.565416 | + | 0.824806i | \(0.308716\pi\) | |||||||
\(740\) | 20.9113 | − | 23.2244i | 0.768716 | − | 0.853746i | ||||
\(741\) | 43.0743 | + | 6.26646i | 1.58237 | + | 0.230204i | ||||
\(742\) | 1.48898 | − | 0.662935i | 0.0546620 | − | 0.0243371i | ||||
\(743\) | −16.5901 | + | 7.38641i | −0.608633 | + | 0.270981i | −0.687823 | − | 0.725879i | \(-0.741433\pi\) |
0.0791896 | + | 0.996860i | \(0.474767\pi\) | |||||||
\(744\) | 23.7052 | + | 3.44864i | 0.869074 | + | 0.126433i | ||||
\(745\) | −9.11035 | + | 10.1181i | −0.333778 | + | 0.370698i | ||||
\(746\) | −10.1751 | + | 7.39264i | −0.372537 | + | 0.270664i | ||||
\(747\) | −14.0250 | + | 4.95145i | −0.513147 | + | 0.181164i | ||||
\(748\) | −0.966316 | + | 1.44243i | −0.0353320 | + | 0.0527406i | ||||
\(749\) | 6.98177 | + | 12.0928i | 0.255108 | + | 0.441860i | ||||
\(750\) | 2.81738 | − | 0.793132i | 0.102876 | − | 0.0289611i | ||||
\(751\) | 4.29862 | + | 0.913700i | 0.156859 | + | 0.0333414i | 0.285672 | − | 0.958328i | \(-0.407783\pi\) |
−0.128813 | + | 0.991669i | \(0.541117\pi\) | |||||||
\(752\) | −0.462338 | − | 0.513479i | −0.0168597 | − | 0.0187246i | ||||
\(753\) | −1.00645 | + | 0.0654843i | −0.0366773 | + | 0.00238638i | ||||
\(754\) | −1.83518 | + | 17.4605i | −0.0668332 | + | 0.635875i | ||||
\(755\) | −2.72107 | + | 8.37459i | −0.0990299 | + | 0.304783i | ||||
\(756\) | −6.85295 | + | 7.39223i | −0.249240 | + | 0.268853i | ||||
\(757\) | 11.1369 | − | 8.09140i | 0.404776 | − | 0.294087i | −0.366708 | − | 0.930336i | \(-0.619515\pi\) |
0.771483 | + | 0.636249i | \(0.219515\pi\) | |||||||
\(758\) | 4.69382 | + | 8.12993i | 0.170487 | + | 0.295292i | ||||
\(759\) | 0.480256 | + | 0.102925i | 0.0174322 | + | 0.00373595i | ||||
\(760\) | 20.2655 | − | 35.1008i | 0.735105 | − | 1.27324i | ||||
\(761\) | 3.25147 | + | 30.9357i | 0.117866 | + | 1.12142i | 0.880321 | + | 0.474378i | \(0.157327\pi\) |
−0.762456 | + | 0.647041i | \(0.776006\pi\) | |||||||
\(762\) | 0.524263 | − | 13.1830i | 0.0189920 | − | 0.477571i | ||||
\(763\) | 5.92230 | − | 1.25882i | 0.214402 | − | 0.0455725i | ||||
\(764\) | −15.9365 | − | 11.5786i | −0.576564 | − | 0.418898i | ||||
\(765\) | 0.658463 | + | 2.75427i | 0.0238068 | + | 0.0995809i | ||||
\(766\) | 1.10585 | − | 3.40344i | 0.0399558 | − | 0.122971i | ||||
\(767\) | 6.06268 | − | 6.73329i | 0.218911 | − | 0.243125i | ||||
\(768\) | −5.61752 | − | 5.47757i | −0.202705 | − | 0.197655i | ||||
\(769\) | −10.9677 | + | 18.9966i | −0.395504 | + | 0.685034i | −0.993165 | − | 0.116715i | \(-0.962764\pi\) |
0.597661 | + | 0.801749i | \(0.296097\pi\) | |||||||
\(770\) | −5.92897 | − | 3.12850i | −0.213665 | − | 0.112743i | ||||
\(771\) | 3.20922 | + | 18.7301i | 0.115577 | + | 0.674549i | ||||
\(772\) | −10.2690 | − | 4.57206i | −0.369590 | − | 0.164552i | ||||
\(773\) | −3.92965 | − | 12.0942i | −0.141340 | − | 0.434999i | 0.855182 | − | 0.518327i | \(-0.173445\pi\) |
−0.996522 | + | 0.0833281i | \(0.973445\pi\) | |||||||
\(774\) | −10.0335 | + | 6.13535i | −0.360645 | + | 0.220530i | ||||
\(775\) | −21.2682 | − | 15.4522i | −0.763976 | − | 0.555061i | ||||
\(776\) | −0.0196714 | + | 0.187160i | −0.000706160 | + | 0.00671867i | ||||
\(777\) | 7.79923 | − | 9.88358i | 0.279796 | − | 0.354571i | ||||
\(778\) | 0.408750 | + | 0.0868824i | 0.0146544 | + | 0.00311489i | ||||
\(779\) | −3.86697 | − | 36.7918i | −0.138549 | − | 1.31820i | ||||
\(780\) | −26.3158 | + | 21.8654i | −0.942258 | + | 0.782908i | ||||
\(781\) | 7.08334 | + | 28.0321i | 0.253462 | + | 1.00307i | ||||
\(782\) | 0.0155220 | 0.000555064 | ||||||||
\(783\) | −3.60390 | − | 39.8468i | −0.128793 | − | 1.42401i | ||||
\(784\) | −3.67724 | − | 11.3174i | −0.131330 | − | 0.404193i | ||||
\(785\) | 53.0556 | − | 11.2773i | 1.89363 | − | 0.402504i | ||||
\(786\) | −17.9482 | + | 1.16779i | −0.640191 | + | 0.0416536i | ||||
\(787\) | −15.7693 | + | 7.02095i | −0.562115 | + | 0.250270i | −0.668067 | − | 0.744102i | \(-0.732878\pi\) |
0.105951 | + | 0.994371i | \(0.466211\pi\) | |||||||
\(788\) | 23.0190 | + | 25.5652i | 0.820018 | + | 0.910722i | ||||
\(789\) | 0.990772 | − | 24.9138i | 0.0352724 | − | 0.886955i | ||||
\(790\) | −14.0943 | − | 6.27518i | −0.501452 | − | 0.223261i | ||||
\(791\) | −22.3870 | −0.795991 | ||||||||
\(792\) | −21.0350 | + | 1.33313i | −0.747445 | + | 0.0473708i | ||||
\(793\) | 54.0120 | 1.91802 | ||||||||
\(794\) | 2.15890 | + | 0.961206i | 0.0766166 | + | 0.0341119i | ||||
\(795\) | −11.1601 | + | 5.86480i | −0.395807 | + | 0.208003i | ||||
\(796\) | 14.8122 | + | 16.4507i | 0.525006 | + | 0.583078i | ||||
\(797\) | 32.1582 | − | 14.3177i | 1.13910 | − | 0.507161i | 0.251538 | − | 0.967847i | \(-0.419064\pi\) |
0.887563 | + | 0.460687i | \(0.152397\pi\) | |||||||
\(798\) | 3.28530 | − | 6.65393i | 0.116298 | − | 0.235546i | ||||
\(799\) | −0.100721 | + | 0.0214090i | −0.00356326 | + | 0.000757395i | ||||
\(800\) | 6.78739 | + | 20.8894i | 0.239970 | + | 0.738553i | ||||
\(801\) | 2.74369 | + | 5.76641i | 0.0969434 | + | 0.203746i | ||||
\(802\) | −3.26248 | −0.115202 | ||||||||
\(803\) | −8.27126 | + | 5.20487i | −0.291887 | + | 0.183676i | ||||
\(804\) | −31.6170 | − | 11.6812i | −1.11504 | − | 0.411966i | ||||
\(805\) | −0.0312634 | − | 0.297451i | −0.00110189 | − | 0.0104838i | ||||
\(806\) | 14.5614 | + | 3.09512i | 0.512903 | + | 0.109021i | ||||
\(807\) | 0.313461 | + | 0.786787i | 0.0110344 | + | 0.0276962i | ||||
\(808\) | −0.455360 | + | 4.33246i | −0.0160195 | + | 0.152415i | ||||
\(809\) | 15.4367 | + | 11.2154i | 0.542725 | + | 0.394313i | 0.825096 | − | 0.564992i | \(-0.191121\pi\) |
−0.282371 | + | 0.959305i | \(0.591121\pi\) | |||||||
\(810\) | −9.85563 | + | 12.1233i | −0.346291 | + | 0.425970i | ||||
\(811\) | −9.59769 | − | 29.5387i | −0.337020 | − | 1.03724i | −0.965718 | − | 0.259593i | \(-0.916412\pi\) |
0.628698 | − | 0.777650i | \(-0.283588\pi\) | |||||||
\(812\) | −13.6456 | − | 6.07542i | −0.478867 | − | 0.213205i | ||||
\(813\) | −29.2271 | + | 24.2843i | −1.02504 | + | 0.851688i | ||||
\(814\) | 11.8424 | − | 1.70252i | 0.415076 | − | 0.0596733i | ||||
\(815\) | 8.74810 | − | 15.1522i | 0.306433 | − | 0.530757i | ||||
\(816\) | 1.10438 | − | 0.310898i | 0.0386610 | − | 0.0108836i | ||||
\(817\) | −28.9110 | + | 32.1090i | −1.01147 | + | 1.12335i | ||||
\(818\) | 1.68711 | − | 5.19240i | 0.0589885 | − | 0.181548i | ||||
\(819\) | −10.0075 | + | 9.47861i | −0.349690 | + | 0.331209i | ||||
\(820\) | 23.5253 | + | 17.0922i | 0.821540 | + | 0.596884i | ||||
\(821\) | −33.2653 | + | 7.07077i | −1.16097 | + | 0.246771i | −0.747826 | − | 0.663895i | \(-0.768902\pi\) |
−0.413143 | + | 0.910666i | \(0.635569\pi\) | |||||||
\(822\) | −14.5306 | + | 7.63607i | −0.506813 | + | 0.266338i | ||||
\(823\) | −1.62605 | − | 15.4708i | −0.0566804 | − | 0.539278i | −0.985612 | − | 0.169026i | \(-0.945938\pi\) |
0.928931 | − | 0.370252i | \(-0.120729\pi\) | |||||||
\(824\) | −3.19521 | + | 5.53426i | −0.111310 | + | 0.192795i | ||||
\(825\) | 21.1154 | + | 9.44371i | 0.735143 | + | 0.328788i | ||||
\(826\) | −0.772337 | − | 1.33773i | −0.0268730 | − | 0.0465455i | ||||
\(827\) | −12.9667 | + | 9.42084i | −0.450895 | + | 0.327595i | −0.789949 | − | 0.613172i | \(-0.789893\pi\) |
0.339054 | + | 0.940767i | \(0.389893\pi\) | |||||||
\(828\) | −0.259839 | − | 0.339299i | −0.00903003 | − | 0.0117914i | ||||
\(829\) | 5.90205 | − | 18.1646i | 0.204987 | − | 0.630884i | −0.794727 | − | 0.606967i | \(-0.792386\pi\) |
0.999714 | − | 0.0239173i | \(-0.00761382\pi\) | |||||||
\(830\) | −0.899644 | + | 8.55954i | −0.0312271 | + | 0.297106i | ||||
\(831\) | −2.75930 | − | 4.13386i | −0.0957191 | − | 0.143402i | ||||
\(832\) | 2.81122 | + | 3.12217i | 0.0974614 | + | 0.108242i | ||||
\(833\) | −1.73465 | − | 0.368711i | −0.0601021 | − | 0.0127751i | ||||
\(834\) | −2.93747 | + | 11.5432i | −0.101716 | + | 0.399709i | ||||
\(835\) | 7.54371 | + | 13.0661i | 0.261061 | + | 0.452171i | ||||
\(836\) | −33.0308 | + | 12.1406i | −1.14240 | + | 0.419891i | ||||
\(837\) | −33.9213 | − | 0.492616i | −1.17249 | − | 0.0170273i | ||||
\(838\) | −0.0708501 | + | 0.0514756i | −0.00244747 | + | 0.00177819i | ||||
\(839\) | 0.995613 | − | 1.10574i | 0.0343724 | − | 0.0381744i | −0.725713 | − | 0.687997i | \(-0.758490\pi\) |
0.760086 | + | 0.649823i | \(0.225157\pi\) | |||||||
\(840\) | 4.75035 | + | 11.9234i | 0.163903 | + | 0.411395i | ||||
\(841\) | 27.6687 | − | 12.3189i | 0.954095 | − | 0.424790i | ||||
\(842\) | 8.96121 | − | 3.98979i | 0.308824 | − | 0.137497i | ||||
\(843\) | 19.5042 | − | 24.7167i | 0.671759 | − | 0.851287i | ||||
\(844\) | 9.30353 | − | 10.3326i | 0.320241 | − | 0.355663i | ||||
\(845\) | −6.25224 | + | 4.54252i | −0.215084 | + | 0.156267i | ||||
\(846\) | −0.431641 | − | 0.369369i | −0.0148401 | − | 0.0126992i | ||||
\(847\) | 4.87274 | + | 11.8444i | 0.167429 | + | 0.406977i | ||||
\(848\) | 2.55384 | + | 4.42338i | 0.0876993 | + | 0.151900i | ||||
\(849\) | −25.4680 | − | 24.8335i | −0.874058 | − | 0.852283i | ||||
\(850\) | 0.715025 | + | 0.151983i | 0.0245252 | + | 0.00521298i | ||||
\(851\) | 0.357172 | + | 0.396680i | 0.0122437 | + | 0.0135980i | ||||
\(852\) | 11.1377 | − | 22.5579i | 0.381571 | − | 0.772820i | ||||
\(853\) | −3.95139 | + | 37.5950i | −0.135293 | + | 1.28723i | 0.690532 | + | 0.723302i | \(0.257376\pi\) |
−0.825825 | + | 0.563926i | \(0.809290\pi\) | |||||||
\(854\) | 2.84548 | − | 8.75750i | 0.0973704 | − | 0.299675i | ||||
\(855\) | −22.0167 | + | 53.0098i | −0.752954 | + | 1.81290i | ||||
\(856\) | 20.5530 | − | 14.9326i | 0.702487 | − | 0.510387i | ||||
\(857\) | −9.91348 | − | 17.1706i | −0.338638 | − | 0.586538i | 0.645539 | − | 0.763727i | \(-0.276633\pi\) |
−0.984177 | + | 0.177189i | \(0.943300\pi\) | |||||||
\(858\) | −13.0984 | − | 0.0220111i | −0.447173 | − | 0.000751447i | ||||
\(859\) | 7.85764 | − | 13.6098i | 0.268099 | − | 0.464362i | −0.700272 | − | 0.713876i | \(-0.746938\pi\) |
0.968371 | + | 0.249515i | \(0.0802711\pi\) | |||||||
\(860\) | −3.55001 | − | 33.7761i | −0.121054 | − | 1.15175i | ||||
\(861\) | 9.90466 | + | 6.25598i | 0.337550 | + | 0.213203i | ||||
\(862\) | 14.3384 | − | 3.04772i | 0.488368 | − | 0.103806i | ||||
\(863\) | −6.57548 | − | 4.77736i | −0.223832 | − | 0.162623i | 0.470218 | − | 0.882550i | \(-0.344175\pi\) |
−0.694050 | + | 0.719927i | \(0.744175\pi\) | |||||||
\(864\) | 22.6866 | + | 16.9916i | 0.771815 | + | 0.578064i | ||||
\(865\) | −14.4739 | + | 44.5462i | −0.492128 | + | 1.51462i | ||||
\(866\) | 6.39284 | − | 7.09997i | 0.217237 | − | 0.241267i | ||||
\(867\) | −7.21940 | + | 28.3697i | −0.245184 | + | 0.963486i | ||||
\(868\) | −6.33269 | + | 10.9685i | −0.214945 | + | 0.372296i | ||||
\(869\) | 13.0049 | + | 26.4514i | 0.441159 | + | 0.897303i | ||||
\(870\) | −21.7172 | − | 8.02368i | −0.736283 | − | 0.272028i | ||||
\(871\) | −42.1057 | − | 18.7467i | −1.42670 | − | 0.635206i | ||||
\(872\) | −3.40401 | − | 10.4765i | −0.115274 | − | 0.354778i | ||||
\(873\) | −0.00672238 | − | 0.266433i | −0.000227518 | − | 0.00901739i | ||||
\(874\) | 0.254531 | + | 0.184928i | 0.00860964 | + | 0.00625527i | ||||
\(875\) | −0.355931 | + | 3.38646i | −0.0120327 | + | 0.114483i | ||||
\(876\) | 8.41469 | + | 1.22417i | 0.284306 | + | 0.0413609i | ||||
\(877\) | 2.47817 | + | 0.526750i | 0.0836817 | + | 0.0177871i | 0.249562 | − | 0.968359i | \(-0.419713\pi\) |
−0.165881 | + | 0.986146i | \(0.553047\pi\) | |||||||
\(878\) | 2.37009 | + | 22.5499i | 0.0799867 | + | 0.761022i | ||||
\(879\) | −0.251576 | − | 1.46828i | −0.00848544 | − | 0.0495239i | ||||
\(880\) | 7.80812 | − | 19.5030i | 0.263212 | − | 0.657446i | ||||
\(881\) | −47.4109 | −1.59731 | −0.798657 | − | 0.601786i | \(-0.794456\pi\) | ||||
−0.798657 | + | 0.601786i | \(0.794456\pi\) | |||||||
\(882\) | −4.20375 | − | 8.83503i | −0.141548 | − | 0.297491i | ||||
\(883\) | 8.19295 | + | 25.2153i | 0.275715 | + | 0.848563i | 0.989029 | + | 0.147719i | \(0.0471930\pi\) |
−0.713315 | + | 0.700844i | \(0.752807\pi\) | |||||||
\(884\) | 2.02061 | − | 0.429495i | 0.0679606 | − | 0.0144455i | ||||
\(885\) | 6.63329 | + | 9.93768i | 0.222976 | + | 0.334051i | ||||
\(886\) | 16.9914 | − | 7.56506i | 0.570837 | − | 0.254153i | ||||
\(887\) | −32.0041 | − | 35.5441i | −1.07459 | − | 1.19345i | −0.980219 | − | 0.197918i | \(-0.936582\pi\) |
−0.0943729 | − | 0.995537i | \(-0.530085\pi\) | |||||||
\(888\) | −19.3667 | − | 12.2324i | −0.649903 | − | 0.410492i | ||||
\(889\) | 14.0221 | + | 6.24306i | 0.470288 | + | 0.209386i | ||||
\(890\) | 3.69528 | 0.123866 | ||||||||
\(891\) | 29.2941 | − | 5.73224i | 0.981388 | − | 0.192037i | ||||
\(892\) | 0.639221 | 0.0214027 | ||||||||
\(893\) | −1.90671 | − | 0.848920i | −0.0638055 | − | 0.0284080i | ||||
\(894\) | 3.83451 | + | 2.42195i | 0.128245 | + | 0.0810022i | ||||
\(895\) | 14.1707 | + | 15.7382i | 0.473675 | + | 0.526069i | ||||
\(896\) | 12.2585 | − | 5.45786i | 0.409529 | − | 0.182334i | ||||
\(897\) | −0.324438 | − | 0.486058i | −0.0108327 | − | 0.0162290i | ||||
\(898\) | 14.6068 | − | 3.10477i | 0.487435 | − | 0.103608i | ||||
\(899\) | −15.5345 | − | 47.8104i | −0.518106 | − | 1.59457i | ||||
\(900\) | −8.64734 | − | 18.1741i | −0.288245 | − | 0.605804i | ||||
\(901\) | 0.761187 | 0.0253588 | ||||||||
\(902\) | 2.72730 | + | 10.7932i | 0.0908090 | + | 0.359373i | ||||
\(903\) | −2.31064 | − | 13.4857i | −0.0768933 | − | 0.448776i | ||||
\(904\) | 4.25749 | + | 40.5073i | 0.141602 | + | 1.34725i | ||||
\(905\) | −7.34017 | − | 1.56020i | −0.243995 | − | 0.0518628i | ||||
\(906\) | 2.90265 | + | 0.422279i | 0.0964342 | + | 0.0140293i | ||||
\(907\) | −4.96075 | + | 47.1984i | −0.164719 | + | 1.56720i | 0.530052 | + | 0.847965i | \(0.322172\pi\) |
−0.694771 | + | 0.719231i | \(0.744494\pi\) | |||||||
\(908\) | 24.2817 | + | 17.6417i | 0.805815 | + | 0.585459i | ||||
\(909\) | −0.155612 | − | 6.16749i | −0.00516133 | − | 0.204563i | ||||
\(910\) | 2.46479 | + | 7.58583i | 0.0817068 | + | 0.251468i | ||||
\(911\) | −25.9741 | − | 11.5644i | −0.860561 | − | 0.383147i | −0.0714850 | − | 0.997442i | \(-0.522774\pi\) |
−0.789076 | + | 0.614295i | \(0.789440\pi\) | |||||||
\(912\) | 21.8138 | + | 8.05935i | 0.722326 | + | 0.266872i | ||||
\(913\) | 11.7920 | − | 11.4597i | 0.390259 | − | 0.379259i | ||||
\(914\) | 3.67381 | − | 6.36322i | 0.121519 | − | 0.210477i | ||||
\(915\) | −17.5654 | + | 69.0258i | −0.580694 | + | 2.28192i | ||||
\(916\) | −14.9702 | + | 16.6261i | −0.494629 | + | 0.549342i | ||||
\(917\) | 6.46615 | − | 19.9008i | 0.213531 | − | 0.657181i | ||||
\(918\) | 0.867251 | − | 0.371131i | 0.0286236 | − | 0.0122491i | ||||
\(919\) | −31.0442 | − | 22.5550i | −1.02406 | − | 0.744020i | −0.0569449 | − | 0.998377i | \(-0.518136\pi\) |
−0.967110 | + | 0.254358i | \(0.918136\pi\) | |||||||
\(920\) | −0.532265 | + | 0.113136i | −0.0175483 | + | 0.00373000i | ||||
\(921\) | −5.10959 | − | 3.22732i | −0.168367 | − | 0.106344i | ||||
\(922\) | 1.14887 | + | 10.9308i | 0.0378361 | + | 0.359986i | ||||
\(923\) | 17.2007 | − | 29.7924i | 0.566167 | − | 0.980629i | ||||
\(924\) | 3.46147 | − | 10.5927i | 0.113874 | − | 0.348475i | ||||
\(925\) | 12.5692 | + | 21.7704i | 0.413272 | + | 0.715808i | ||||
\(926\) | 10.6893 | − | 7.76621i | 0.351271 | − | 0.255214i | ||||
\(927\) | 3.47132 | − | 8.35794i | 0.114013 | − | 0.274511i | ||||
\(928\) | −12.9791 | + | 39.9457i | −0.426061 | + | 1.31128i | ||||
\(929\) | −1.39939 | + | 13.3143i | −0.0459126 | + | 0.436829i | 0.947285 | + | 0.320391i | \(0.103814\pi\) |
−0.993198 | + | 0.116438i | \(0.962852\pi\) | |||||||
\(930\) | −8.69102 | + | 17.6025i | −0.284990 | + | 0.577207i | ||||
\(931\) | −24.0522 | − | 26.7127i | −0.788280 | − | 0.875473i | ||||
\(932\) | −5.49160 | − | 1.16728i | −0.179883 | − | 0.0382354i | ||||
\(933\) | 13.4492 | + | 13.1141i | 0.440307 | + | 0.429338i | ||||
\(934\) | −4.60021 | − | 7.96779i | −0.150523 | − | 0.260714i | ||||
\(935\) | −1.93528 | − | 2.46098i | −0.0632905 | − | 0.0804826i | ||||
\(936\) | 19.0539 | + | 16.3050i | 0.622795 | + | 0.532946i | ||||
\(937\) | 19.9588 | − | 14.5010i | 0.652027 | − | 0.473725i | −0.211934 | − | 0.977284i | \(-0.567976\pi\) |
0.863961 | + | 0.503559i | \(0.167976\pi\) | |||||||
\(938\) | −5.25781 | + | 5.83939i | −0.171674 | + | 0.190663i | ||||
\(939\) | −30.3442 | + | 38.4537i | −0.990245 | + | 1.25489i | ||||
\(940\) | 1.49874 | − | 0.667281i | 0.0488834 | − | 0.0217643i | ||||
\(941\) | 7.58453 | − | 3.37685i | 0.247249 | − | 0.110082i | −0.279371 | − | 0.960183i | \(-0.590126\pi\) |
0.526620 | + | 0.850101i | \(0.323459\pi\) | |||||||
\(942\) | −6.68725 | − | 16.7850i | −0.217883 | − | 0.546885i | ||||
\(943\) | −0.332341 | + | 0.369103i | −0.0108225 | + | 0.0120196i | ||||
\(944\) | 3.91616 | − | 2.84526i | 0.127460 | − | 0.0926053i | ||||
\(945\) | −8.85883 | − | 15.8718i | −0.288178 | − | 0.516311i | ||||
\(946\) | 7.23646 | − | 10.8020i | 0.235278 | − | 0.351202i | ||||
\(947\) | −18.9748 | − | 32.8653i | −0.616598 | − | 1.06798i | −0.990102 | − | 0.140351i | \(-0.955177\pi\) |
0.373503 | − | 0.927629i | \(-0.378156\pi\) | |||||||
\(948\) | 6.32493 | − | 24.8548i | 0.205424 | − | 0.807245i | ||||
\(949\) | 11.3735 | + | 2.41752i | 0.369201 | + | 0.0784761i | ||||
\(950\) | 9.91435 | + | 11.0110i | 0.321664 | + | 0.357244i | ||||
\(951\) | 1.06979 | + | 1.60271i | 0.0346904 | + | 0.0519715i | ||||
\(952\) | 0.0810019 | − | 0.770681i | 0.00262529 | − | 0.0249779i | ||||
\(953\) | −15.0400 | + | 46.2884i | −0.487194 | + | 1.49943i | 0.341583 | + | 0.939852i | \(0.389037\pi\) |
−0.828778 | + | 0.559578i | \(0.810963\pi\) | |||||||
\(954\) | 2.55336 | + | 3.33419i | 0.0826682 | + | 0.107948i | ||||
\(955\) | 28.7373 | − | 20.8789i | 0.929918 | − | 0.675625i | ||||
\(956\) | −19.3245 | − | 33.4710i | −0.624998 | − | 1.08253i | ||||
\(957\) | 22.0516 | + | 38.3432i | 0.712828 | + | 1.23946i | ||||
\(958\) | 4.73516 | − | 8.20154i | 0.152986 | − | 0.264980i | ||||
\(959\) | −1.99617 | − | 18.9923i | −0.0644596 | − | 0.613292i | ||||
\(960\) | −4.90429 | + | 2.57728i | −0.158285 | + | 0.0831815i | ||||
\(961\) | −11.3716 | + | 2.41712i | −0.366827 | + | 0.0779716i | ||||
\(962\) | −11.5165 | − | 8.36721i | −0.371306 | − | 0.269770i | ||||
\(963\) | −26.1216 | + | 24.7411i | −0.841756 | + | 0.797271i | ||||
\(964\) | −7.80746 | + | 24.0289i | −0.251461 | + | 0.773918i | ||||
\(965\) | 13.5632 | − | 15.0634i | 0.436614 | − | 0.484909i | ||||
\(966\) | −0.0959015 | + | 0.0269976i | −0.00308558 | + | 0.000868635i | ||||
\(967\) | −5.48901 | + | 9.50724i | −0.176515 | + | 0.305732i | −0.940684 | − | 0.339283i | \(-0.889816\pi\) |
0.764170 | + | 0.645015i | \(0.223149\pi\) | |||||||
\(968\) | 20.5046 | − | 11.0693i | 0.659044 | − | 0.355781i | ||||
\(969\) | 2.66559 | − | 2.21479i | 0.0856309 | − | 0.0711494i | ||||
\(970\) | −0.140891 | − | 0.0627287i | −0.00452374 | − | 0.00201410i | ||||
\(971\) | 4.03687 | + | 12.4242i | 0.129549 | + | 0.398712i | 0.994702 | − | 0.102796i | \(-0.0327789\pi\) |
−0.865153 | + | 0.501508i | \(0.832779\pi\) | |||||||
\(972\) | −22.6305 | − | 12.7447i | −0.725874 | − | 0.408787i | ||||
\(973\) | −11.2108 | − | 8.14510i | −0.359401 | − | 0.261120i | ||||
\(974\) | −1.37626 | + | 13.0942i | −0.0440981 | + | 0.419565i | ||||
\(975\) | −10.1861 | − | 25.5672i | −0.326217 | − | 0.818805i | ||||
\(976\) | 28.2257 | + | 5.99955i | 0.903482 | + | 0.192041i | ||||
\(977\) | 1.15779 | + | 11.0156i | 0.0370410 | + | 0.352421i | 0.997307 | + | 0.0733360i | \(0.0233645\pi\) |
−0.960266 | + | 0.279085i | \(0.909969\pi\) | |||||||
\(978\) | −5.46694 | − | 2.01982i | −0.174813 | − | 0.0645869i | ||||
\(979\) | −5.42247 | − | 4.52087i | −0.173303 | − | 0.144488i | ||||
\(980\) | 28.2544 | 0.902554 | ||||||||
\(981\) | 6.70270 | + | 14.0871i | 0.214001 | + | 0.449766i | ||||
\(982\) | −7.79262 | − | 23.9832i | −0.248673 | − | 0.765336i | ||||
\(983\) | 25.8539 | − | 5.49541i | 0.824611 | − | 0.175277i | 0.223767 | − | 0.974643i | \(-0.428165\pi\) |
0.600844 | + | 0.799366i | \(0.294831\pi\) | |||||||
\(984\) | 9.43600 | − | 19.1113i | 0.300809 | − | 0.609247i | ||||
\(985\) | −56.6706 | + | 25.2314i | −1.80568 | + | 0.803938i | ||||
\(986\) | 0.935344 | + | 1.03880i | 0.0297874 | + | 0.0330823i | ||||
\(987\) | 0.585063 | − | 0.307460i | 0.0186228 | − | 0.00978657i | ||||
\(988\) | 38.2512 | + | 17.0305i | 1.21693 | + | 0.541814i | ||||
\(989\) | 0.580083 | 0.0184456 | ||||||||
\(990\) | 4.28790 | − | 16.7322i | 0.136278 | − | 0.531786i | ||||
\(991\) | −18.9911 | −0.603272 | −0.301636 | − | 0.953423i | \(-0.597533\pi\) | ||||
−0.301636 | + | 0.953423i | \(0.597533\pi\) | |||||||
\(992\) | 32.5349 | + | 14.4855i | 1.03298 | + | 0.459914i | ||||
\(993\) | 0.851946 | − | 21.4229i | 0.0270357 | − | 0.679836i | ||||
\(994\) | −3.92436 | − | 4.35845i | −0.124473 | − | 0.138242i | ||||
\(995\) | −36.4663 | + | 16.2359i | −1.15606 | + | 0.514711i | ||||
\(996\) | −14.2771 | + | 0.928931i | −0.452388 | + | 0.0294343i | ||||
\(997\) | −21.6299 | + | 4.59758i | −0.685027 | + | 0.145607i | −0.537262 | − | 0.843416i | \(-0.680541\pi\) |
−0.147765 | + | 0.989022i | \(0.547208\pi\) | |||||||
\(998\) | −3.58956 | − | 11.0475i | −0.113625 | − | 0.349703i | ||||
\(999\) | 29.4407 | + | 13.6235i | 0.931463 | + | 0.431028i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 99.2.m.b.58.6 | yes | 72 | |
3.2 | odd | 2 | 297.2.n.b.91.4 | 72 | |||
9.2 | odd | 6 | 297.2.n.b.289.6 | 72 | |||
9.4 | even | 3 | 891.2.f.f.487.4 | 36 | |||
9.5 | odd | 6 | 891.2.f.e.487.6 | 36 | |||
9.7 | even | 3 | inner | 99.2.m.b.25.4 | yes | 72 | |
11.2 | odd | 10 | 1089.2.e.o.364.11 | 36 | |||
11.4 | even | 5 | inner | 99.2.m.b.4.4 | ✓ | 72 | |
11.9 | even | 5 | 1089.2.e.p.364.8 | 36 | |||
33.26 | odd | 10 | 297.2.n.b.37.6 | 72 | |||
99.4 | even | 15 | 891.2.f.f.730.4 | 36 | |||
99.13 | odd | 30 | 9801.2.a.co.1.8 | 18 | |||
99.31 | even | 15 | 9801.2.a.cm.1.11 | 18 | |||
99.59 | odd | 30 | 891.2.f.e.730.6 | 36 | |||
99.68 | even | 30 | 9801.2.a.cn.1.11 | 18 | |||
99.70 | even | 15 | inner | 99.2.m.b.70.6 | yes | 72 | |
99.79 | odd | 30 | 1089.2.e.o.727.11 | 36 | |||
99.86 | odd | 30 | 9801.2.a.cp.1.8 | 18 | |||
99.92 | odd | 30 | 297.2.n.b.235.4 | 72 | |||
99.97 | even | 15 | 1089.2.e.p.727.8 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.m.b.4.4 | ✓ | 72 | 11.4 | even | 5 | inner | |
99.2.m.b.25.4 | yes | 72 | 9.7 | even | 3 | inner | |
99.2.m.b.58.6 | yes | 72 | 1.1 | even | 1 | trivial | |
99.2.m.b.70.6 | yes | 72 | 99.70 | even | 15 | inner | |
297.2.n.b.37.6 | 72 | 33.26 | odd | 10 | |||
297.2.n.b.91.4 | 72 | 3.2 | odd | 2 | |||
297.2.n.b.235.4 | 72 | 99.92 | odd | 30 | |||
297.2.n.b.289.6 | 72 | 9.2 | odd | 6 | |||
891.2.f.e.487.6 | 36 | 9.5 | odd | 6 | |||
891.2.f.e.730.6 | 36 | 99.59 | odd | 30 | |||
891.2.f.f.487.4 | 36 | 9.4 | even | 3 | |||
891.2.f.f.730.4 | 36 | 99.4 | even | 15 | |||
1089.2.e.o.364.11 | 36 | 11.2 | odd | 10 | |||
1089.2.e.o.727.11 | 36 | 99.79 | odd | 30 | |||
1089.2.e.p.364.8 | 36 | 11.9 | even | 5 | |||
1089.2.e.p.727.8 | 36 | 99.97 | even | 15 | |||
9801.2.a.cm.1.11 | 18 | 99.31 | even | 15 | |||
9801.2.a.cn.1.11 | 18 | 99.68 | even | 30 | |||
9801.2.a.co.1.8 | 18 | 99.13 | odd | 30 | |||
9801.2.a.cp.1.8 | 18 | 99.86 | odd | 30 |