Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [243,2,Mod(28,243)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(243, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("243.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 243 = 3^{5} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 243.e (of order \(9\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.94036476912\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | 12.0.1952986685049.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 6 x^{11} + 27 x^{10} - 80 x^{9} + 186 x^{8} - 330 x^{7} + 463 x^{6} - 504 x^{5} + 420 x^{4} + \cdots + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 27) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 217.1 | ||
Root | \(0.500000 - 0.258654i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 243.217 |
Dual form | 243.2.e.a.28.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/243\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0721450 | − | 0.409154i | 0.0510142 | − | 0.289316i | −0.948618 | − | 0.316423i | \(-0.897518\pi\) |
0.999633 | + | 0.0271067i | \(0.00862938\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.71718 | + | 0.625003i | 0.858591 | + | 0.312502i | ||||
\(5\) | −1.69693 | + | 1.42389i | −0.758891 | + | 0.636785i | −0.937838 | − | 0.347074i | \(-0.887175\pi\) |
0.178947 | + | 0.983859i | \(0.442731\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.24005 | − | 0.451340i | 0.468693 | − | 0.170590i | −0.0968671 | − | 0.995297i | \(-0.530882\pi\) |
0.565560 | + | 0.824707i | \(0.308660\pi\) | |||||||
\(8\) | 0.795075 | − | 1.37711i | 0.281102 | − | 0.486882i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.460168 | + | 0.797034i | 0.145518 | + | 0.252044i | ||||
\(11\) | 3.99506 | + | 3.35226i | 1.20456 | + | 1.01074i | 0.999488 | + | 0.0319962i | \(0.0101864\pi\) |
0.205069 | + | 0.978747i | \(0.434258\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.00313583 | − | 0.0177842i | −0.000869722 | − | 0.00493244i | 0.984370 | − | 0.176114i | \(-0.0563527\pi\) |
−0.985240 | + | 0.171181i | \(0.945242\pi\) | |||||||
\(14\) | −0.0952046 | − | 0.539932i | −0.0254445 | − | 0.144303i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.29363 | + | 1.92458i | 0.573408 | + | 0.481146i | ||||
\(17\) | −1.56640 | − | 2.71308i | −0.379907 | − | 0.658019i | 0.611141 | − | 0.791522i | \(-0.290711\pi\) |
−0.991048 | + | 0.133503i | \(0.957377\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.208676 | + | 0.361438i | −0.0478736 | + | 0.0829195i | −0.888969 | − | 0.457967i | \(-0.848578\pi\) |
0.841096 | + | 0.540886i | \(0.181911\pi\) | |||||||
\(20\) | −3.80388 | + | 1.38450i | −0.850574 | + | 0.309583i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.65981 | − | 1.39275i | 0.353874 | − | 0.296935i | ||||
\(23\) | −0.972005 | − | 0.353781i | −0.202677 | − | 0.0737684i | 0.238687 | − | 0.971097i | \(-0.423283\pi\) |
−0.441364 | + | 0.897328i | \(0.645505\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.0161402 | + | 0.0915354i | −0.00322803 | + | 0.0183071i | ||||
\(26\) | −0.00750270 | −0.00147140 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.41147 | 0.455726 | ||||||||
\(29\) | 1.35571 | − | 7.68861i | 0.251749 | − | 1.42774i | −0.552533 | − | 0.833491i | \(-0.686338\pi\) |
0.804282 | − | 0.594248i | \(-0.202550\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.50474 | − | 1.27562i | −0.629470 | − | 0.229108i | 0.00753084 | − | 0.999972i | \(-0.497603\pi\) |
−0.637000 | + | 0.770863i | \(0.719825\pi\) | |||||||
\(32\) | 3.38918 | − | 2.84386i | 0.599128 | − | 0.502728i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.22308 | + | 0.445163i | −0.209756 | + | 0.0763449i | ||||
\(35\) | −1.46161 | + | 2.53159i | −0.247058 | + | 0.427916i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.21238 | − | 3.83195i | −0.363713 | − | 0.629969i | 0.624856 | − | 0.780740i | \(-0.285158\pi\) |
−0.988569 | + | 0.150771i | \(0.951824\pi\) | |||||||
\(38\) | 0.132829 | + | 0.111457i | 0.0215477 | + | 0.0180807i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.611672 | + | 3.46897i | 0.0967139 | + | 0.548492i | ||||
\(41\) | 0.638147 | + | 3.61911i | 0.0996618 | + | 0.565210i | 0.993219 | + | 0.116260i | \(0.0370907\pi\) |
−0.893557 | + | 0.448950i | \(0.851798\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.36420 | − | 5.34020i | −0.970531 | − | 0.814373i | 0.0121027 | − | 0.999927i | \(-0.496148\pi\) |
−0.982634 | + | 0.185554i | \(0.940592\pi\) | |||||||
\(44\) | 4.76508 | + | 8.25337i | 0.718363 | + | 1.24424i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.214876 | + | 0.372177i | −0.0316818 | + | 0.0548745i | ||||
\(47\) | −6.66985 | + | 2.42763i | −0.972898 | + | 0.354106i | −0.779075 | − | 0.626931i | \(-0.784311\pi\) |
−0.193823 | + | 0.981037i | \(0.562089\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.02831 | + | 3.38015i | −0.575472 | + | 0.482878i | ||||
\(50\) | 0.0362877 | + | 0.0132076i | 0.00513185 | + | 0.00186784i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.00573038 | − | 0.0324986i | 0.000794660 | − | 0.00450674i | ||||
\(53\) | 1.30057 | 0.178648 | 0.0893238 | − | 0.996003i | \(-0.471529\pi\) | ||||
0.0893238 | + | 0.996003i | \(0.471529\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −11.5526 | −1.55775 | ||||||||
\(56\) | 0.364385 | − | 2.06653i | 0.0486930 | − | 0.276152i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.04802 | − | 1.10939i | −0.400225 | − | 0.145670i | ||||
\(59\) | 2.83575 | − | 2.37948i | 0.369183 | − | 0.309782i | −0.439255 | − | 0.898362i | \(-0.644758\pi\) |
0.808438 | + | 0.588581i | \(0.200313\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.49726 | + | 2.36481i | −0.831889 | + | 0.302783i | −0.722634 | − | 0.691231i | \(-0.757069\pi\) |
−0.109255 | + | 0.994014i | \(0.534846\pi\) | |||||||
\(62\) | −0.774775 | + | 1.34195i | −0.0983965 | + | 0.170428i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.07506 | + | 3.59410i | 0.259382 | + | 0.449263i | ||||
\(65\) | 0.0306441 | + | 0.0257134i | 0.00380093 | + | 0.00318936i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.91478 | − | 10.8593i | −0.233928 | − | 1.32667i | −0.844860 | − | 0.534988i | \(-0.820316\pi\) |
0.610932 | − | 0.791683i | \(-0.290795\pi\) | |||||||
\(68\) | −0.994107 | − | 5.63786i | −0.120553 | − | 0.683691i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.930362 | + | 0.780666i | 0.111200 | + | 0.0933075i | ||||
\(71\) | −3.04214 | − | 5.26914i | −0.361035 | − | 0.625332i | 0.627096 | − | 0.778942i | \(-0.284243\pi\) |
−0.988132 | + | 0.153610i | \(0.950910\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.273486 | − | 0.473692i | 0.0320092 | − | 0.0554415i | −0.849577 | − | 0.527465i | \(-0.823143\pi\) |
0.881586 | + | 0.472023i | \(0.156476\pi\) | |||||||
\(74\) | −1.72747 | + | 0.628748i | −0.200815 | + | 0.0730905i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.584235 | + | 0.490231i | −0.0670163 | + | 0.0562334i | ||||
\(77\) | 6.46707 | + | 2.35382i | 0.736991 | + | 0.268243i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.0849390 | − | 0.481713i | 0.00955638 | − | 0.0541969i | −0.979657 | − | 0.200681i | \(-0.935685\pi\) |
0.989213 | + | 0.146484i | \(0.0467957\pi\) | |||||||
\(80\) | −6.63254 | −0.741540 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.52681 | 0.168608 | ||||||||
\(83\) | −0.801155 | + | 4.54358i | −0.0879382 | + | 0.498722i | 0.908746 | + | 0.417351i | \(0.137041\pi\) |
−0.996684 | + | 0.0813719i | \(0.974070\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.52121 | + | 2.37353i | 0.707324 | + | 0.257445i | ||||
\(86\) | −2.64411 | + | 2.21867i | −0.285122 | + | 0.239246i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 7.79281 | − | 2.83635i | 0.830716 | − | 0.302356i | ||||
\(89\) | −1.68653 | + | 2.92116i | −0.178772 | + | 0.309642i | −0.941460 | − | 0.337124i | \(-0.890546\pi\) |
0.762688 | + | 0.646766i | \(0.223879\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.0119153 | − | 0.0206379i | −0.00124906 | − | 0.00216344i | ||||
\(92\) | −1.44800 | − | 1.21501i | −0.150964 | − | 0.126674i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.512078 | + | 2.90414i | 0.0528168 | + | 0.299539i | ||||
\(95\) | −0.160540 | − | 0.910468i | −0.0164711 | − | 0.0934120i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.61552 | + | 6.39018i | 0.773239 | + | 0.648825i | 0.941536 | − | 0.336912i | \(-0.109382\pi\) |
−0.168297 | + | 0.985736i | \(0.553827\pi\) | |||||||
\(98\) | 1.09238 | + | 1.89206i | 0.110347 | + | 0.191127i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.0849256 | + | 0.147095i | −0.00849256 | + | 0.0147095i | ||||
\(101\) | 12.9673 | − | 4.71970i | 1.29029 | − | 0.469628i | 0.396469 | − | 0.918048i | \(-0.370235\pi\) |
0.893823 | + | 0.448420i | \(0.148013\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.49708 | − | 2.93440i | 0.344578 | − | 0.289135i | −0.454031 | − | 0.890986i | \(-0.650014\pi\) |
0.798608 | + | 0.601851i | \(0.205570\pi\) | |||||||
\(104\) | −0.0269840 | − | 0.00982137i | −0.00264600 | − | 0.000963064i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.0938299 | − | 0.532136i | 0.00911356 | − | 0.0516856i | ||||
\(107\) | 11.2965 | 1.09207 | 0.546035 | − | 0.837762i | \(-0.316136\pi\) | ||||
0.546035 | + | 0.837762i | \(0.316136\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 14.5032 | 1.38915 | 0.694577 | − | 0.719419i | \(-0.255592\pi\) | ||||
0.694577 | + | 0.719419i | \(0.255592\pi\) | |||||||
\(110\) | −0.833463 | + | 4.72680i | −0.0794676 | + | 0.450683i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 3.71285 | + | 1.35137i | 0.350831 | + | 0.127692i | ||||
\(113\) | −9.62031 | + | 8.07240i | −0.905003 | + | 0.759388i | −0.971162 | − | 0.238422i | \(-0.923370\pi\) |
0.0661589 | + | 0.997809i | \(0.478926\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.15317 | − | 0.783691i | 0.200784 | − | 0.0730796i | ||||
\(116\) | 7.13341 | − | 12.3554i | 0.662321 | − | 1.14717i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.768989 | − | 1.33193i | −0.0707912 | − | 0.122614i | ||||
\(119\) | −3.16693 | − | 2.65737i | −0.290312 | − | 0.243600i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.81278 | + | 15.9521i | 0.255708 | + | 1.45019i | ||||
\(122\) | 0.498827 | + | 2.82899i | 0.0451617 | + | 0.256125i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −5.22101 | − | 4.38095i | −0.468860 | − | 0.393421i | ||||
\(125\) | −5.64092 | − | 9.77035i | −0.504539 | − | 0.873887i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.19749 | − | 7.27027i | 0.372467 | − | 0.645132i | −0.617477 | − | 0.786589i | \(-0.711845\pi\) |
0.989944 | + | 0.141456i | \(0.0451785\pi\) | |||||||
\(128\) | 9.93513 | − | 3.61609i | 0.878150 | − | 0.319620i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.0127316 | − | 0.0106831i | 0.00111663 | − | 0.000936966i | ||||
\(131\) | −14.5980 | − | 5.31325i | −1.27544 | − | 0.464221i | −0.386516 | − | 0.922283i | \(-0.626321\pi\) |
−0.888920 | + | 0.458062i | \(0.848544\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.0956368 | + | 0.542383i | −0.00829276 | + | 0.0470306i | ||||
\(134\) | −4.58126 | −0.395761 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.98162 | −0.427170 | ||||||||
\(137\) | −2.08506 | + | 11.8250i | −0.178139 | + | 1.01028i | 0.756319 | + | 0.654203i | \(0.226996\pi\) |
−0.934458 | + | 0.356073i | \(0.884115\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.77452 | − | 2.10175i | −0.489789 | − | 0.178268i | 0.0853069 | − | 0.996355i | \(-0.472813\pi\) |
−0.575096 | + | 0.818086i | \(0.695035\pi\) | |||||||
\(140\) | −4.09211 | + | 3.43369i | −0.345846 | + | 0.290199i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −2.37537 | + | 0.864563i | −0.199336 | + | 0.0725525i | ||||
\(143\) | 0.0470893 | − | 0.0815610i | 0.00393780 | − | 0.00682047i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 8.64723 | + | 14.9774i | 0.718113 | + | 1.24381i | ||||
\(146\) | −0.174083 | − | 0.146073i | −0.0144072 | − | 0.0120891i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.40408 | − | 7.96291i | −0.115414 | − | 0.654547i | ||||
\(149\) | −0.153300 | − | 0.869408i | −0.0125588 | − | 0.0712247i | 0.977884 | − | 0.209147i | \(-0.0670687\pi\) |
−0.990443 | + | 0.137922i | \(0.955958\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 6.30108 | + | 5.28723i | 0.512774 | + | 0.430269i | 0.862104 | − | 0.506731i | \(-0.169146\pi\) |
−0.349330 | + | 0.937000i | \(0.613591\pi\) | |||||||
\(152\) | 0.331826 | + | 0.574740i | 0.0269147 | + | 0.0466176i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.42964 | − | 2.47621i | 0.115204 | − | 0.199539i | ||||
\(155\) | 7.76365 | − | 2.82574i | 0.623591 | − | 0.226969i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.62138 | − | 8.07330i | 0.767870 | − | 0.644319i | −0.172293 | − | 0.985046i | \(-0.555117\pi\) |
0.940162 | + | 0.340726i | \(0.110673\pi\) | |||||||
\(158\) | −0.190967 | − | 0.0695063i | −0.0151925 | − | 0.00552962i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.70185 | + | 9.65166i | −0.134543 | + | 0.763031i | ||||
\(161\) | −1.36501 | −0.107578 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.31466 | 0.259624 | 0.129812 | − | 0.991539i | \(-0.458563\pi\) | ||||
0.129812 | + | 0.991539i | \(0.458563\pi\) | |||||||
\(164\) | −1.16614 | + | 6.61352i | −0.0910603 | + | 0.516429i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.80123 | + | 0.655592i | 0.139802 | + | 0.0508838i | ||||
\(167\) | 15.7522 | − | 13.2176i | 1.21894 | − | 1.02281i | 0.220059 | − | 0.975487i | \(-0.429375\pi\) |
0.998880 | − | 0.0473242i | \(-0.0150694\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.2157 | − | 4.44615i | 0.939669 | − | 0.342012i | ||||
\(170\) | 1.44161 | − | 2.49694i | 0.110567 | − | 0.191507i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −7.59085 | − | 13.1477i | −0.578797 | − | 1.00251i | ||||
\(173\) | −10.7501 | − | 9.02041i | −0.817316 | − | 0.685809i | 0.135026 | − | 0.990842i | \(-0.456888\pi\) |
−0.952342 | + | 0.305033i | \(0.901333\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.0212990 | + | 0.120793i | 0.00161006 | + | 0.00913108i | ||||
\(176\) | 2.71150 | + | 15.3777i | 0.204387 | + | 1.15914i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.07353 | + | 0.900799i | 0.0804645 | + | 0.0675177i | ||||
\(179\) | 5.09500 | + | 8.82479i | 0.380818 | + | 0.659596i | 0.991179 | − | 0.132527i | \(-0.0423091\pi\) |
−0.610361 | + | 0.792123i | \(0.708976\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −12.0274 | + | 20.8320i | −0.893987 | + | 1.54843i | −0.0589331 | + | 0.998262i | \(0.518770\pi\) |
−0.835054 | + | 0.550169i | \(0.814563\pi\) | |||||||
\(182\) | −0.00930370 | + | 0.00338627i | −0.000689636 | + | 0.000251007i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.26001 | + | 1.05728i | −0.0928894 | + | 0.0779434i | ||||
\(185\) | 9.21055 | + | 3.35237i | 0.677173 | + | 0.246471i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.83708 | − | 16.0899i | 0.207468 | − | 1.17661i | ||||
\(188\) | −12.9706 | −0.945981 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.384104 | −0.0278658 | ||||||||
\(191\) | −1.90082 | + | 10.7801i | −0.137538 | + | 0.780018i | 0.835520 | + | 0.549460i | \(0.185166\pi\) |
−0.973058 | + | 0.230559i | \(0.925945\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.1543 | + | 3.69586i | 0.730922 | + | 0.266034i | 0.680555 | − | 0.732697i | \(-0.261739\pi\) |
0.0503667 | + | 0.998731i | \(0.483961\pi\) | |||||||
\(194\) | 3.16399 | − | 2.65490i | 0.227161 | − | 0.190611i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −9.02994 | + | 3.28663i | −0.644996 | + | 0.234759i | ||||
\(197\) | −11.0367 | + | 19.1161i | −0.786331 | + | 1.36196i | 0.141870 | + | 0.989885i | \(0.454689\pi\) |
−0.928201 | + | 0.372080i | \(0.878645\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.44338 | − | 11.1603i | −0.456759 | − | 0.791130i | 0.542028 | − | 0.840360i | \(-0.317657\pi\) |
−0.998787 | + | 0.0492301i | \(0.984323\pi\) | |||||||
\(200\) | 0.113222 | + | 0.0950043i | 0.00800599 | + | 0.00671782i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.995564 | − | 5.64612i | −0.0700476 | − | 0.397260i | ||||
\(203\) | −1.78903 | − | 10.1461i | −0.125566 | − | 0.712118i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −6.23612 | − | 5.23273i | −0.435550 | − | 0.365470i | ||||
\(206\) | −0.948326 | − | 1.64255i | −0.0660730 | − | 0.114442i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.0270347 | − | 0.0468255i | 0.00187452 | − | 0.00324676i | ||||
\(209\) | −2.04531 | + | 0.744431i | −0.141477 | + | 0.0514934i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −18.3817 | + | 15.4241i | −1.26545 | + | 1.06184i | −0.270371 | + | 0.962756i | \(0.587146\pi\) |
−0.995079 | + | 0.0990822i | \(0.968409\pi\) | |||||||
\(212\) | 2.23332 | + | 0.812863i | 0.153385 | + | 0.0558277i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.814983 | − | 4.62200i | 0.0557111 | − | 0.315953i | ||||
\(215\) | 18.4035 | 1.25511 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.92177 | −0.334112 | ||||||||
\(218\) | 1.04633 | − | 5.93404i | 0.0708665 | − | 0.401904i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −19.8379 | − | 7.22042i | −1.33747 | − | 0.486801i | ||||
\(221\) | −0.0433379 | + | 0.0363648i | −0.00291522 | + | 0.00244616i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −20.3558 | + | 7.40890i | −1.36312 | + | 0.496137i | −0.917019 | − | 0.398844i | \(-0.869411\pi\) |
−0.446105 | + | 0.894981i | \(0.647189\pi\) | |||||||
\(224\) | 2.91919 | − | 5.05618i | 0.195047 | − | 0.337831i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.60880 | + | 4.51858i | 0.173535 | + | 0.300571i | ||||
\(227\) | −16.5786 | − | 13.9111i | −1.10036 | − | 0.923314i | −0.102913 | − | 0.994690i | \(-0.532816\pi\) |
−0.997449 | + | 0.0713762i | \(0.977261\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.87633 | − | 10.6412i | −0.123991 | − | 0.703190i | −0.981902 | − | 0.189391i | \(-0.939349\pi\) |
0.857910 | − | 0.513799i | \(-0.171762\pi\) | |||||||
\(230\) | −0.165310 | − | 0.937520i | −0.0109002 | − | 0.0618182i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −9.51018 | − | 7.97999i | −0.624374 | − | 0.523912i | ||||
\(233\) | 3.81950 | + | 6.61557i | 0.250224 | + | 0.433400i | 0.963587 | − | 0.267394i | \(-0.0861625\pi\) |
−0.713364 | + | 0.700794i | \(0.752829\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.86160 | − | 13.6167i | 0.512834 | − | 0.888255i | ||||
\(236\) | 6.35669 | − | 2.31364i | 0.413785 | − | 0.150605i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.31575 | + | 1.10405i | −0.0852874 | + | 0.0715647i | ||||
\(239\) | −3.03661 | − | 1.10524i | −0.196422 | − | 0.0714917i | 0.241936 | − | 0.970292i | \(-0.422218\pi\) |
−0.438358 | + | 0.898800i | \(0.644440\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.60948 | + | 26.1417i | −0.296923 | + | 1.68393i | 0.362360 | + | 0.932038i | \(0.381971\pi\) |
−0.659283 | + | 0.751895i | \(0.729140\pi\) | |||||||
\(242\) | 6.72979 | 0.432608 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −12.6350 | −0.808873 | ||||||||
\(245\) | 2.02278 | − | 11.4718i | 0.129231 | − | 0.732904i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.00708224 | + | 0.00257773i | 0.000450632 | + | 0.000164017i | ||||
\(248\) | −4.54320 | + | 3.81220i | −0.288494 | + | 0.242075i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −4.40455 | + | 1.60312i | −0.278568 | + | 0.101390i | ||||
\(251\) | −2.24965 | + | 3.89651i | −0.141997 | + | 0.245945i | −0.928248 | − | 0.371961i | \(-0.878686\pi\) |
0.786252 | + | 0.617906i | \(0.212019\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.69726 | − | 4.67179i | −0.169575 | − | 0.293713i | ||||
\(254\) | −2.67184 | − | 2.24194i | −0.167646 | − | 0.140672i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.678549 | + | 3.84824i | 0.0424093 | + | 0.240515i | ||||
\(257\) | −2.38513 | − | 13.5267i | −0.148780 | − | 0.843775i | −0.964254 | − | 0.264981i | \(-0.914634\pi\) |
0.815473 | − | 0.578794i | \(-0.196477\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.47296 | − | 3.75326i | −0.277936 | − | 0.233216i | ||||
\(260\) | 0.0365505 | + | 0.0633073i | 0.00226677 | + | 0.00392615i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.22711 | + | 5.58952i | −0.199372 | + | 0.345322i | ||||
\(263\) | −22.7430 | + | 8.27776i | −1.40239 | + | 0.510429i | −0.928887 | − | 0.370363i | \(-0.879233\pi\) |
−0.473504 | + | 0.880792i | \(0.657011\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.20699 | + | 1.85188i | −0.135574 | + | 0.113760i | ||||
\(266\) | 0.215019 | + | 0.0782604i | 0.0131836 | + | 0.00479845i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 3.49905 | − | 19.8441i | 0.213739 | − | 1.21217i | ||||
\(269\) | −12.0062 | −0.732032 | −0.366016 | − | 0.930609i | \(-0.619278\pi\) | ||||
−0.366016 | + | 0.930609i | \(0.619278\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.71777 | 0.225839 | 0.112919 | − | 0.993604i | \(-0.463980\pi\) | ||||
0.112919 | + | 0.993604i | \(0.463980\pi\) | |||||||
\(272\) | 1.62881 | − | 9.23747i | 0.0987614 | − | 0.560104i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4.68781 | + | 1.70622i | 0.283201 | + | 0.103077i | ||||
\(275\) | −0.371331 | + | 0.311584i | −0.0223921 | + | 0.0187892i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 22.0669 | − | 8.03170i | 1.32587 | − | 0.482578i | 0.420537 | − | 0.907275i | \(-0.361842\pi\) |
0.905335 | + | 0.424697i | \(0.139620\pi\) | |||||||
\(278\) | −1.27654 | + | 2.21104i | −0.0765621 | + | 0.132609i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.32418 | + | 4.02560i | 0.138897 | + | 0.240576i | ||||
\(281\) | 15.6057 | + | 13.0947i | 0.930955 | + | 0.781164i | 0.975989 | − | 0.217821i | \(-0.0698950\pi\) |
−0.0450333 | + | 0.998985i | \(0.514339\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.01431 | + | 11.4237i | 0.119738 | + | 0.679069i | 0.984295 | + | 0.176533i | \(0.0564884\pi\) |
−0.864556 | + | 0.502536i | \(0.832401\pi\) | |||||||
\(284\) | −1.93068 | − | 10.9494i | −0.114565 | − | 0.649729i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.0299738 | − | 0.0251510i | −0.00177239 | − | 0.00148721i | ||||
\(287\) | 2.42478 | + | 4.19984i | 0.143130 | + | 0.247909i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 3.59280 | − | 6.22291i | 0.211341 | − | 0.366053i | ||||
\(290\) | 6.75194 | − | 2.45750i | 0.396488 | − | 0.144310i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.765686 | − | 0.642487i | 0.0448084 | − | 0.0375987i | ||||
\(293\) | 29.6700 | + | 10.7990i | 1.73334 | + | 0.630884i | 0.998860 | − | 0.0477455i | \(-0.0152036\pi\) |
0.734481 | + | 0.678630i | \(0.237426\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.42395 | + | 8.07562i | −0.0829056 | + | 0.470181i | ||||
\(296\) | −7.03603 | −0.408961 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.366782 | −0.0212471 | ||||||||
\(299\) | −0.00324366 | + | 0.0183957i | −0.000187586 | + | 0.00106385i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −10.3021 | − | 3.74967i | −0.593806 | − | 0.216128i | ||||
\(302\) | 2.61789 | − | 2.19667i | 0.150642 | − | 0.126404i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.17424 | + | 0.427390i | −0.0673475 | + | 0.0245125i | ||||
\(305\) | 7.65816 | − | 13.2643i | 0.438505 | − | 0.759513i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.06027 | + | 7.03259i | 0.231732 | + | 0.401371i | 0.958318 | − | 0.285704i | \(-0.0922275\pi\) |
−0.726586 | + | 0.687075i | \(0.758894\pi\) | |||||||
\(308\) | 9.63400 | + | 8.08388i | 0.548948 | + | 0.460622i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.596055 | − | 3.38039i | −0.0338536 | − | 0.191993i | ||||
\(311\) | 4.14126 | + | 23.4862i | 0.234829 | + | 1.33178i | 0.842973 | + | 0.537956i | \(0.180803\pi\) |
−0.608144 | + | 0.793827i | \(0.708086\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 20.6146 | + | 17.2977i | 1.16521 | + | 0.977725i | 0.999964 | − | 0.00852816i | \(-0.00271463\pi\) |
0.165243 | + | 0.986253i | \(0.447159\pi\) | |||||||
\(314\) | −2.60909 | − | 4.51908i | −0.147240 | − | 0.255026i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.446928 | − | 0.774102i | 0.0251417 | − | 0.0435466i | ||||
\(317\) | −7.82983 | + | 2.84983i | −0.439767 | + | 0.160062i | −0.552408 | − | 0.833574i | \(-0.686291\pi\) |
0.112641 | + | 0.993636i | \(0.464069\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 31.1904 | − | 26.1718i | 1.74633 | − | 1.46534i | ||||
\(320\) | −8.63886 | − | 3.14429i | −0.482927 | − | 0.175771i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.0984783 | + | 0.558498i | −0.00548798 | + | 0.0311239i | ||||
\(323\) | 1.30748 | 0.0727501 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.00167849 | 9.31061e−5 | ||||||||
\(326\) | 0.239136 | − | 1.35621i | 0.0132445 | − | 0.0751134i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 5.49129 | + | 1.99867i | 0.303206 | + | 0.110358i | ||||
\(329\) | −7.17524 | + | 6.02074i | −0.395584 | + | 0.331934i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 6.03307 | − | 2.19586i | 0.331607 | − | 0.120695i | −0.170850 | − | 0.985297i | \(-0.554651\pi\) |
0.502458 | + | 0.864602i | \(0.332429\pi\) | |||||||
\(332\) | −4.21548 | + | 7.30143i | −0.231355 | + | 0.400718i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −4.27161 | − | 7.39865i | −0.233732 | − | 0.404836i | ||||
\(335\) | 18.7117 | + | 15.7010i | 1.02233 | + | 0.857837i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.29800 | + | 7.36133i | 0.0707066 | + | 0.400997i | 0.999535 | + | 0.0304874i | \(0.00970594\pi\) |
−0.928829 | + | 0.370510i | \(0.879183\pi\) | |||||||
\(338\) | −0.937861 | − | 5.31887i | −0.0510129 | − | 0.289309i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 9.71465 | + | 8.15156i | 0.526851 | + | 0.442080i | ||||
\(341\) | −9.72545 | − | 16.8450i | −0.526663 | − | 0.912206i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −8.08839 | + | 14.0095i | −0.436732 | + | 0.756442i | ||||
\(344\) | −12.4141 | + | 4.51835i | −0.669321 | + | 0.243613i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −4.46631 | + | 3.74768i | −0.240110 | + | 0.201476i | ||||
\(347\) | −29.5576 | − | 10.7581i | −1.58673 | − | 0.577524i | −0.610079 | − | 0.792341i | \(-0.708862\pi\) |
−0.976654 | + | 0.214817i | \(0.931084\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.05824 | − | 11.6729i | 0.110175 | − | 0.624835i | −0.878851 | − | 0.477096i | \(-0.841689\pi\) |
0.989026 | − | 0.147739i | \(-0.0471994\pi\) | |||||||
\(350\) | 0.0509595 | 0.00272390 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 23.0733 | 1.22981 | ||||||||
\(353\) | 1.42515 | − | 8.08240i | 0.0758528 | − | 0.430183i | −0.923105 | − | 0.384547i | \(-0.874358\pi\) |
0.998958 | − | 0.0456355i | \(-0.0145313\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 12.6650 | + | 4.60968i | 0.672188 | + | 0.244657i | ||||
\(356\) | −4.72182 | + | 3.96208i | −0.250256 | + | 0.209990i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.97828 | − | 1.44798i | 0.210259 | − | 0.0765279i | ||||
\(359\) | 8.86365 | − | 15.3523i | 0.467806 | − | 0.810263i | −0.531517 | − | 0.847047i | \(-0.678378\pi\) |
0.999323 | + | 0.0367840i | \(0.0117114\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.41291 | + | 16.3036i | 0.495416 | + | 0.858086i | ||||
\(362\) | 7.65579 | + | 6.42397i | 0.402379 | + | 0.337636i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.00756197 | − | 0.0428861i | −0.000396355 | − | 0.00224784i | ||||
\(365\) | 0.210400 | + | 1.19324i | 0.0110129 | + | 0.0624570i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −15.5657 | − | 13.0611i | −0.812521 | − | 0.681786i | 0.138687 | − | 0.990336i | \(-0.455712\pi\) |
−0.951208 | + | 0.308550i | \(0.900156\pi\) | |||||||
\(368\) | −1.54854 | − | 2.68215i | −0.0807232 | − | 0.139817i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.03613 | − | 3.52668i | 0.105853 | − | 0.183343i | ||||
\(371\) | 1.61277 | − | 0.587001i | 0.0837309 | − | 0.0304756i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −7.41641 | + | 6.22311i | −0.384007 | + | 0.322220i | −0.814273 | − | 0.580482i | \(-0.802864\pi\) |
0.430266 | + | 0.902702i | \(0.358420\pi\) | |||||||
\(374\) | −6.37857 | − | 2.32161i | −0.329828 | − | 0.120048i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.95992 | + | 11.1153i | −0.101075 | + | 0.573226i | ||||
\(377\) | −0.140987 | −0.00726119 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.12905 | −0.212095 | −0.106048 | − | 0.994361i | \(-0.533820\pi\) | ||||
−0.106048 | + | 0.994361i | \(0.533820\pi\) | |||||||
\(380\) | 0.293369 | − | 1.66378i | 0.0150495 | − | 0.0853500i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.27358 | + | 1.55546i | 0.218655 | + | 0.0795840i | ||||
\(383\) | −3.63885 | + | 3.05336i | −0.185937 | + | 0.156019i | −0.731005 | − | 0.682372i | \(-0.760948\pi\) |
0.545068 | + | 0.838392i | \(0.316504\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −14.3258 | + | 5.21415i | −0.730109 | + | 0.265738i | ||||
\(386\) | 2.24476 | − | 3.88803i | 0.114255 | − | 0.197896i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 9.08336 | + | 15.7328i | 0.461138 | + | 0.798714i | ||||
\(389\) | 16.7100 | + | 14.0213i | 0.847229 | + | 0.710910i | 0.959178 | − | 0.282804i | \(-0.0912647\pi\) |
−0.111949 | + | 0.993714i | \(0.535709\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.562710 | + | 3.19129i | 0.0284575 | + | 0.161390i | ||||
\(392\) | 1.45203 | + | 8.23490i | 0.0733388 | + | 0.415925i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 7.02519 | + | 5.89483i | 0.353924 | + | 0.296977i | ||||
\(395\) | 0.541773 | + | 0.938378i | 0.0272595 | + | 0.0472149i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 17.4245 | − | 30.1802i | 0.874512 | − | 1.51470i | 0.0172294 | − | 0.999852i | \(-0.494515\pi\) |
0.857282 | − | 0.514847i | \(-0.172151\pi\) | |||||||
\(398\) | −5.03113 | + | 1.83118i | −0.252188 | + | 0.0917888i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.213187 | + | 0.178885i | −0.0106594 | + | 0.00894427i | ||||
\(401\) | −17.6907 | − | 6.43890i | −0.883433 | − | 0.321543i | −0.139839 | − | 0.990174i | \(-0.544658\pi\) |
−0.743594 | + | 0.668631i | \(0.766881\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.0116956 | + | 0.0663290i | −0.000582599 | + | 0.00330408i | ||||
\(404\) | 25.2170 | 1.25459 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −4.28040 | −0.212433 | ||||||||
\(407\) | 4.00709 | − | 22.7254i | 0.198624 | − | 1.12645i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 5.97640 | + | 2.17523i | 0.295514 | + | 0.107558i | 0.485523 | − | 0.874224i | \(-0.338629\pi\) |
−0.190008 | + | 0.981782i | \(0.560852\pi\) | |||||||
\(410\) | −2.59090 | + | 2.17402i | −0.127955 | + | 0.107367i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 7.83914 | − | 2.85322i | 0.386207 | − | 0.140568i | ||||
\(413\) | 2.44251 | − | 4.23055i | 0.120188 | − | 0.208172i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −5.11007 | − | 8.85090i | −0.250843 | − | 0.434474i | ||||
\(416\) | −0.0612035 | − | 0.0513559i | −0.00300075 | − | 0.00251793i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.157029 | + | 0.890553i | 0.00768052 | + | 0.0435584i | ||||
\(419\) | 4.22277 | + | 23.9485i | 0.206296 | + | 1.16996i | 0.895388 | + | 0.445288i | \(0.146899\pi\) |
−0.689092 | + | 0.724674i | \(0.741990\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.12072 | − | 5.13590i | −0.298306 | − | 0.250308i | 0.481333 | − | 0.876538i | \(-0.340153\pi\) |
−0.779639 | + | 0.626230i | \(0.784597\pi\) | |||||||
\(422\) | 4.98469 | + | 8.63373i | 0.242651 | + | 0.420283i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.03405 | − | 1.79103i | 0.0502181 | − | 0.0869803i | ||||
\(425\) | 0.273625 | − | 0.0995913i | 0.0132728 | − | 0.00483089i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −6.98956 | + | 5.86494i | −0.338249 | + | 0.283824i | ||||
\(428\) | 19.3981 | + | 7.06033i | 0.937643 | + | 0.341274i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.32772 | − | 7.52987i | 0.0640283 | − | 0.363122i | ||||
\(431\) | −9.87124 | −0.475481 | −0.237740 | − | 0.971329i | \(-0.576407\pi\) | ||||
−0.237740 | + | 0.971329i | \(0.576407\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6.10369 | −0.293325 | −0.146662 | − | 0.989187i | \(-0.546853\pi\) | ||||
−0.146662 | + | 0.989187i | \(0.546853\pi\) | |||||||
\(434\) | −0.355081 | + | 2.01377i | −0.0170444 | + | 0.0966638i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 24.9046 | + | 9.06454i | 1.19272 | + | 0.434113i | ||||
\(437\) | 0.330704 | − | 0.277494i | 0.0158197 | − | 0.0132743i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 14.2213 | − | 5.17614i | 0.678747 | − | 0.247044i | 0.0204376 | − | 0.999791i | \(-0.493494\pi\) |
0.658309 | + | 0.752747i | \(0.271272\pi\) | |||||||
\(440\) | −9.18520 | + | 15.9092i | −0.437887 | + | 0.758443i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.0117522 | + | 0.0203554i | 0.000558996 | + | 0.000968210i | ||||
\(443\) | 0.553692 | + | 0.464603i | 0.0263067 | + | 0.0220739i | 0.655846 | − | 0.754895i | \(-0.272312\pi\) |
−0.629539 | + | 0.776968i | \(0.716756\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.29749 | − | 7.35845i | −0.0615071 | − | 0.348824i | ||||
\(446\) | 1.56282 | + | 8.86317i | 0.0740015 | + | 0.419683i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 4.19533 | + | 3.52030i | 0.198211 | + | 0.166318i | ||||
\(449\) | 0.834224 | + | 1.44492i | 0.0393695 | + | 0.0681899i | 0.885039 | − | 0.465517i | \(-0.154132\pi\) |
−0.845669 | + | 0.533707i | \(0.820798\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −9.58275 | + | 16.5978i | −0.451234 | + | 0.781560i | ||||
\(452\) | −21.5651 | + | 7.84906i | −1.01434 | + | 0.369189i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −6.88786 | + | 5.77960i | −0.323263 | + | 0.271250i | ||||
\(455\) | 0.0496055 | + | 0.0180549i | 0.00232554 | + | 0.000846429i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.92462 | − | 10.9151i | 0.0900299 | − | 0.510585i | −0.906128 | − | 0.423005i | \(-0.860975\pi\) |
0.996157 | − | 0.0875805i | \(-0.0279135\pi\) | |||||||
\(458\) | −4.48926 | −0.209769 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 4.18720 | 0.195229 | ||||||||
\(461\) | 3.80018 | − | 21.5519i | 0.176992 | − | 1.00377i | −0.758827 | − | 0.651292i | \(-0.774227\pi\) |
0.935819 | − | 0.352480i | \(-0.114662\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −23.3530 | − | 8.49979i | −1.08531 | − | 0.395019i | −0.263426 | − | 0.964680i | \(-0.584852\pi\) |
−0.821880 | + | 0.569661i | \(0.807075\pi\) | |||||||
\(464\) | 17.9069 | − | 15.0257i | 0.831306 | − | 0.697549i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2.98235 | − | 1.08549i | 0.138154 | − | 0.0502841i | ||||
\(467\) | −5.91777 | + | 10.2499i | −0.273842 | + | 0.474308i | −0.969842 | − | 0.243734i | \(-0.921628\pi\) |
0.696001 | + | 0.718041i | \(0.254961\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −7.27564 | − | 12.6018i | −0.335958 | − | 0.581896i | ||||
\(470\) | −5.00415 | − | 4.19898i | −0.230824 | − | 0.193685i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −1.02217 | − | 5.79701i | −0.0470491 | − | 0.266829i | ||||
\(473\) | −7.52367 | − | 42.6689i | −0.345939 | − | 1.96192i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.0297163 | − | 0.0249349i | −0.00136348 | − | 0.00114409i | ||||
\(476\) | −3.77733 | − | 6.54252i | −0.173134 | − | 0.299876i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −0.671288 | + | 1.16270i | −0.0307040 | + | 0.0531809i | ||||
\(479\) | 2.71322 | − | 0.987532i | 0.123970 | − | 0.0451215i | −0.279290 | − | 0.960207i | \(-0.590099\pi\) |
0.403260 | + | 0.915085i | \(0.367877\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.0612104 | + | 0.0513617i | −0.00279096 | + | 0.00234189i | ||||
\(482\) | 10.3634 | + | 3.77198i | 0.472041 | + | 0.171809i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −5.14005 | + | 29.1506i | −0.233638 | + | 1.32503i | ||||
\(485\) | −22.0220 | −0.999966 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 8.75903 | 0.396910 | 0.198455 | − | 0.980110i | \(-0.436408\pi\) | ||||
0.198455 | + | 0.980110i | \(0.436408\pi\) | |||||||
\(488\) | −1.90921 | + | 10.8276i | −0.0864257 | + | 0.490144i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −4.54779 | − | 1.65526i | −0.205448 | − | 0.0747770i | ||||
\(491\) | 17.2920 | − | 14.5097i | 0.780375 | − | 0.654812i | −0.162968 | − | 0.986631i | \(-0.552107\pi\) |
0.943343 | + | 0.331819i | \(0.107662\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −22.9834 | + | 8.36528i | −1.03512 | + | 0.376753i | ||||
\(494\) | 0.00156564 | − | 0.00271176i | 7.04413e−5 | − | 0.000122008i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −5.58354 | − | 9.67097i | −0.250708 | − | 0.434239i | ||||
\(497\) | −6.15056 | − | 5.16094i | −0.275890 | − | 0.231500i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −4.39900 | − | 24.9479i | −0.196926 | − | 1.11682i | −0.909649 | − | 0.415378i | \(-0.863649\pi\) |
0.712723 | − | 0.701446i | \(-0.247462\pi\) | |||||||
\(500\) | −3.57998 | − | 20.3031i | −0.160102 | − | 0.907981i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 1.43197 | + | 1.20157i | 0.0639120 | + | 0.0536286i | ||||
\(503\) | 1.87207 | + | 3.24252i | 0.0834714 | + | 0.144577i | 0.904739 | − | 0.425967i | \(-0.140066\pi\) |
−0.821267 | + | 0.570543i | \(0.806733\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −15.2842 | + | 26.4731i | −0.680139 | + | 1.17804i | ||||
\(506\) | −2.10608 | + | 0.766549i | −0.0936265 | + | 0.0340773i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 11.7518 | − | 9.86094i | 0.521402 | − | 0.437508i | ||||
\(509\) | 22.8814 | + | 8.32815i | 1.01420 | + | 0.369139i | 0.795045 | − | 0.606551i | \(-0.207447\pi\) |
0.219156 | + | 0.975690i | \(0.429670\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.125340 | − | 0.710836i | 0.00554469 | − | 0.0314455i | ||||
\(512\) | 22.7690 | 1.00626 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −5.70660 | −0.251707 | ||||||||
\(515\) | −1.75603 | + | 9.95896i | −0.0773801 | + | 0.438844i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −34.7845 | − | 12.6605i | −1.52982 | − | 0.556810i | ||||
\(518\) | −1.85836 | + | 1.55935i | −0.0816519 | + | 0.0685141i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.0597746 | − | 0.0217562i | 0.00262129 | − | 0.000954071i | ||||
\(521\) | 9.81046 | − | 16.9922i | 0.429804 | − | 0.744443i | −0.567051 | − | 0.823682i | \(-0.691916\pi\) |
0.996856 | + | 0.0792397i | \(0.0252492\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10.4077 | − | 18.0267i | −0.455097 | − | 0.788251i | 0.543597 | − | 0.839346i | \(-0.317062\pi\) |
−0.998694 | + | 0.0510956i | \(0.983729\pi\) | |||||||
\(524\) | −21.7467 | − | 18.2476i | −0.950008 | − | 0.797152i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.74609 | + | 9.90258i | 0.0761333 | + | 0.431773i | ||||
\(527\) | 2.02895 | + | 11.5068i | 0.0883826 | + | 0.501243i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −16.7994 | − | 14.0964i | −0.730408 | − | 0.612885i | ||||
\(530\) | 0.598482 | + | 1.03660i | 0.0259964 | + | 0.0450271i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.503217 | + | 0.871598i | −0.0218172 | + | 0.0377886i | ||||
\(533\) | 0.0623617 | − | 0.0226978i | 0.00270119 | − | 0.000983152i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −19.1693 | + | 16.0850i | −0.828763 | + | 0.695414i | ||||
\(536\) | −16.4768 | − | 5.99707i | −0.711690 | − | 0.259034i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −0.866188 | + | 4.91240i | −0.0373440 | + | 0.211788i | ||||
\(539\) | −27.4245 | −1.18126 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −30.6272 | −1.31676 | −0.658382 | − | 0.752684i | \(-0.728759\pi\) | ||||
−0.658382 | + | 0.752684i | \(0.728759\pi\) | |||||||
\(542\) | 0.268219 | − | 1.52114i | 0.0115210 | − | 0.0653387i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −13.0244 | − | 4.74050i | −0.558417 | − | 0.203247i | ||||
\(545\) | −24.6109 | + | 20.6510i | −1.05422 | + | 0.884592i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −21.2819 | + | 7.74596i | −0.909946 | + | 0.331193i | −0.754231 | − | 0.656609i | \(-0.771990\pi\) |
−0.155715 | + | 0.987802i | \(0.549768\pi\) | |||||||
\(548\) | −10.9711 | + | 19.0025i | −0.468661 | + | 0.811745i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.100696 | + | 0.174411i | 0.00429370 | + | 0.00743691i | ||||
\(551\) | 2.49605 | + | 2.09444i | 0.106335 | + | 0.0892259i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.112088 | − | 0.635682i | −0.00476646 | − | 0.0270320i | ||||
\(554\) | −1.69419 | − | 9.60822i | −0.0719792 | − | 0.408214i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.60231 | − | 7.21819i | −0.364819 | − | 0.306120i | ||||
\(557\) | 18.2259 | + | 31.5682i | 0.772256 | + | 1.33759i | 0.936324 | + | 0.351138i | \(0.114205\pi\) |
−0.164067 | + | 0.986449i | \(0.552461\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.0750139 | + | 0.129928i | −0.00317275 | + | 0.00549537i | ||||
\(560\) | −8.22465 | + | 2.99353i | −0.347555 | + | 0.126500i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 6.48362 | − | 5.44041i | 0.273495 | − | 0.229490i | ||||
\(563\) | 24.9171 | + | 9.06909i | 1.05013 | + | 0.382216i | 0.808712 | − | 0.588205i | \(-0.200165\pi\) |
0.241419 | + | 0.970421i | \(0.422387\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.83076 | − | 27.3966i | 0.203232 | − | 1.15258i | ||||
\(566\) | 4.81938 | 0.202574 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −9.67492 | −0.405950 | ||||||||
\(569\) | −3.98825 | + | 22.6185i | −0.167196 | + | 0.948216i | 0.779575 | + | 0.626309i | \(0.215435\pi\) |
−0.946771 | + | 0.321907i | \(0.895676\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.50865 | + | 1.64101i | 0.188681 | + | 0.0686743i | 0.434633 | − | 0.900608i | \(-0.356878\pi\) |
−0.245952 | + | 0.969282i | \(0.579100\pi\) | |||||||
\(572\) | 0.131837 | − | 0.110624i | 0.00551237 | − | 0.00462543i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.89332 | − | 0.689112i | 0.0790256 | − | 0.0287630i | ||||
\(575\) | 0.0480718 | − | 0.0832628i | 0.00200473 | − | 0.00347230i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 2.15666 | + | 3.73545i | 0.0897831 | + | 0.155509i | 0.907419 | − | 0.420226i | \(-0.138049\pi\) |
−0.817636 | + | 0.575735i | \(0.804716\pi\) | |||||||
\(578\) | −2.28693 | − | 1.91896i | −0.0951237 | − | 0.0798182i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 5.48792 | + | 31.1236i | 0.227874 | + | 1.29234i | ||||
\(581\) | 1.05723 | + | 5.99584i | 0.0438612 | + | 0.248749i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 5.19588 | + | 4.35986i | 0.215191 | + | 0.180567i | ||||
\(584\) | −0.434885 | − | 0.753242i | −0.0179957 | − | 0.0311694i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 6.55900 | − | 11.3605i | 0.270950 | − | 0.469299i | ||||
\(587\) | 39.3000 | − | 14.3040i | 1.62209 | − | 0.590391i | 0.638308 | − | 0.769781i | \(-0.279635\pi\) |
0.983778 | + | 0.179391i | \(0.0574126\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.19241 | − | 1.00055i | 0.0491325 | − | 0.0412271i | ||||
\(590\) | 3.20145 | + | 1.16523i | 0.131801 | + | 0.0479718i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 2.30054 | − | 13.0470i | 0.0945515 | − | 0.536228i | ||||
\(593\) | 31.5370 | 1.29507 | 0.647536 | − | 0.762035i | \(-0.275800\pi\) | ||||
0.647536 | + | 0.762035i | \(0.275800\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 9.15786 | 0.375436 | ||||||||
\(596\) | 0.280139 | − | 1.58875i | 0.0114749 | − | 0.0650776i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.00729267 | + | 0.00265431i | 0.000298219 | + | 0.000108543i | ||||
\(599\) | 9.67537 | − | 8.11860i | 0.395325 | − | 0.331717i | −0.423358 | − | 0.905962i | \(-0.639149\pi\) |
0.818683 | + | 0.574245i | \(0.194704\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −19.3041 | + | 7.02611i | −0.787430 | + | 0.286601i | −0.704267 | − | 0.709935i | \(-0.748724\pi\) |
−0.0831627 | + | 0.996536i | \(0.526502\pi\) | |||||||
\(602\) | −2.27744 | + | 3.94465i | −0.0928216 | + | 0.160772i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 7.51556 | + | 13.0173i | 0.305804 | + | 0.529668i | ||||
\(605\) | −27.4872 | − | 23.0645i | −1.11751 | − | 0.937705i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2.24224 | + | 12.7164i | 0.0910098 | + | 0.516142i | 0.995897 | + | 0.0904914i | \(0.0288437\pi\) |
−0.904887 | + | 0.425651i | \(0.860045\pi\) | |||||||
\(608\) | 0.320637 | + | 1.81842i | 0.0130035 | + | 0.0737467i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −4.87466 | − | 4.09033i | −0.197369 | − | 0.165612i | ||||
\(611\) | 0.0640889 | + | 0.111005i | 0.00259276 | + | 0.00449079i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 15.5799 | − | 26.9851i | 0.629265 | − | 1.08992i | −0.358434 | − | 0.933555i | \(-0.616689\pi\) |
0.987699 | − | 0.156364i | \(-0.0499774\pi\) | |||||||
\(614\) | 3.17034 | − | 1.15391i | 0.127945 | − | 0.0465680i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 8.38328 | − | 7.03441i | 0.337772 | − | 0.283424i | ||||
\(617\) | −6.71014 | − | 2.44229i | −0.270140 | − | 0.0983230i | 0.203398 | − | 0.979096i | \(-0.434801\pi\) |
−0.473539 | + | 0.880773i | \(0.657024\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −1.74185 | + | 9.87851i | −0.0700108 | + | 0.397051i | 0.929585 | + | 0.368609i | \(0.120166\pi\) |
−0.999595 | + | 0.0284422i | \(0.990945\pi\) | |||||||
\(620\) | 15.0977 | 0.606338 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 9.90827 | 0.397285 | ||||||||
\(623\) | −0.772942 | + | 4.38357i | −0.0309673 | + | 0.175624i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 23.0475 | + | 8.38860i | 0.921899 | + | 0.335544i | ||||
\(626\) | 8.56468 | − | 7.18662i | 0.342313 | − | 0.287235i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 21.5675 | − | 7.84993i | 0.860637 | − | 0.313246i | ||||
\(629\) | −6.93093 | + | 12.0047i | −0.276354 | + | 0.478660i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.53780 | + | 6.12765i | 0.140838 | + | 0.243938i | 0.927812 | − | 0.373047i | \(-0.121687\pi\) |
−0.786975 | + | 0.616985i | \(0.788354\pi\) | |||||||
\(632\) | −0.595839 | − | 0.499968i | −0.0237012 | − | 0.0198877i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0.601136 | + | 3.40921i | 0.0238741 | + | 0.135397i | ||||
\(635\) | 3.22924 | + | 18.3139i | 0.128149 | + | 0.726767i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.0727452 | + | 0.0610405i | 0.00288227 | + | 0.00241851i | ||||
\(638\) | −8.45809 | − | 14.6498i | −0.334859 | − | 0.579993i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −11.7103 | + | 20.2828i | −0.462890 | + | 0.801750i | ||||
\(641\) | −4.70900 | + | 1.71394i | −0.185994 | + | 0.0676964i | −0.433338 | − | 0.901231i | \(-0.642664\pi\) |
0.247344 | + | 0.968928i | \(0.420442\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.25509 | − | 1.05315i | 0.0494959 | − | 0.0415320i | −0.617704 | − | 0.786411i | \(-0.711937\pi\) |
0.667200 | + | 0.744879i | \(0.267493\pi\) | |||||||
\(644\) | −2.34397 | − | 0.853134i | −0.0923652 | − | 0.0336182i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.0943280 | − | 0.534961i | 0.00371129 | − | 0.0210478i | ||||
\(647\) | −34.4927 | −1.35605 | −0.678024 | − | 0.735040i | \(-0.737164\pi\) | ||||
−0.678024 | + | 0.735040i | \(0.737164\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 19.3056 | 0.757813 | ||||||||
\(650\) | 0.000121095 | 0 | 0.000686763i | 4.74973e−6 | 0 | 2.69371e-5i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 5.69188 | + | 2.07167i | 0.222911 | + | 0.0811330i | ||||
\(653\) | −29.6923 | + | 24.9148i | −1.16195 | + | 0.974993i | −0.999930 | − | 0.0117946i | \(-0.996246\pi\) |
−0.162021 | + | 0.986787i | \(0.551801\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 32.3374 | − | 11.7698i | 1.26353 | − | 0.459886i | ||||
\(656\) | −5.50161 | + | 9.52907i | −0.214802 | + | 0.372048i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 1.94575 | + | 3.37015i | 0.0758534 | + | 0.131382i | ||||
\(659\) | −7.19463 | − | 6.03701i | −0.280263 | − | 0.235169i | 0.491810 | − | 0.870703i | \(-0.336336\pi\) |
−0.772073 | + | 0.635534i | \(0.780780\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.19316 | − | 23.7806i | −0.163095 | − | 0.924957i | −0.951007 | − | 0.309169i | \(-0.899949\pi\) |
0.787912 | − | 0.615788i | \(-0.211162\pi\) | |||||||
\(662\) | −0.463189 | − | 2.62688i | −0.0180024 | − | 0.102096i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 5.62003 | + | 4.71577i | 0.218100 | + | 0.183007i | ||||
\(665\) | −0.610007 | − | 1.05656i | −0.0236551 | − | 0.0409718i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −4.03784 | + | 6.99375i | −0.156346 | + | 0.270799i | ||||
\(668\) | 35.3104 | − | 12.8519i | 1.36620 | − | 0.497256i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 7.77409 | − | 6.52323i | 0.300339 | − | 0.252014i | ||||
\(671\) | −33.8844 | − | 12.3329i | −1.30809 | − | 0.476107i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.59580 | + | 26.0641i | −0.177155 | + | 1.00470i | 0.758472 | + | 0.651705i | \(0.225946\pi\) |
−0.935627 | + | 0.352990i | \(0.885165\pi\) | |||||||
\(674\) | 3.10557 | 0.119622 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 23.7554 | 0.913671 | ||||||||
\(677\) | −5.39470 | + | 30.5949i | −0.207335 | + | 1.17586i | 0.686387 | + | 0.727236i | \(0.259196\pi\) |
−0.893723 | + | 0.448620i | \(0.851916\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 12.3277 | + | 4.48693i | 0.473095 | + | 0.172193i | ||||
\(680\) | 8.45346 | − | 7.09330i | 0.324175 | − | 0.272015i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −7.59384 | + | 2.76393i | −0.290783 | + | 0.105836i | ||||
\(683\) | 19.0681 | − | 33.0268i | 0.729619 | − | 1.26374i | −0.227425 | − | 0.973796i | \(-0.573031\pi\) |
0.957044 | − | 0.289942i | \(-0.0936359\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −13.2993 | − | 23.0351i | −0.508140 | − | 0.880125i | ||||
\(686\) | 5.14851 | + | 4.32011i | 0.196571 | + | 0.164943i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −4.31946 | − | 24.4969i | −0.164678 | − | 0.933935i | ||||
\(689\) | −0.00407838 | − | 0.0231296i | −0.000155374 | − | 0.000881169i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 25.2255 | + | 21.1667i | 0.959623 | + | 0.805219i | 0.980892 | − | 0.194555i | \(-0.0623262\pi\) |
−0.0212689 | + | 0.999774i | \(0.506771\pi\) | |||||||
\(692\) | −12.8221 | − | 22.2085i | −0.487424 | − | 0.844242i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −6.53414 | + | 11.3175i | −0.248033 | + | 0.429605i | ||||
\(695\) | 12.7916 | − | 4.65578i | 0.485215 | − | 0.176604i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 8.81934 | − | 7.40031i | 0.334056 | − | 0.280307i | ||||
\(698\) | −4.62751 | − | 1.68428i | −0.175154 | − | 0.0637509i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.0389216 | + | 0.220735i | −0.00147110 | + | 0.00834301i | ||||
\(701\) | 2.30710 | 0.0871381 | 0.0435690 | − | 0.999050i | \(-0.486127\pi\) | ||||
0.0435690 | + | 0.999050i | \(0.486127\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.84668 | 0.0696490 | ||||||||
\(704\) | −3.75838 | + | 21.3148i | −0.141649 | + | 0.803332i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −3.20413 | − | 1.16621i | −0.120589 | − | 0.0438908i | ||||
\(707\) | 13.9498 | − | 11.7053i | 0.524637 | − | 0.440223i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 10.4795 | − | 3.81423i | 0.393566 | − | 0.143246i | −0.137653 | − | 0.990480i | \(-0.543956\pi\) |
0.531220 | + | 0.847234i | \(0.321734\pi\) | |||||||
\(710\) | 2.79979 | − | 4.84937i | 0.105074 | − | 0.181994i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 2.68184 | + | 4.64508i | 0.100506 | + | 0.174082i | ||||
\(713\) | 2.95533 | + | 2.47982i | 0.110678 | + | 0.0928700i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.0362270 | + | 0.205454i | 0.00135481 | + | 0.00768353i | ||||
\(716\) | 3.23351 | + | 18.3382i | 0.120842 | + | 0.685330i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −5.64199 | − | 4.73419i | −0.210557 | − | 0.176679i | ||||
\(719\) | −16.0850 | − | 27.8600i | −0.599869 | − | 1.03900i | −0.992840 | − | 0.119453i | \(-0.961886\pi\) |
0.392971 | − | 0.919551i | \(-0.371447\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.01213 | − | 5.21717i | 0.112178 | − | 0.194297i | ||||
\(722\) | 7.34980 | − | 2.67511i | 0.273531 | − | 0.0995572i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −33.6733 | + | 28.2552i | −1.25146 | + | 1.05010i | ||||
\(725\) | 0.681899 | + | 0.248191i | 0.0253251 | + | 0.00921758i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −0.931711 | + | 5.28399i | −0.0345552 | + | 0.195973i | −0.997199 | − | 0.0748002i | \(-0.976168\pi\) |
0.962643 | + | 0.270773i | \(0.0872792\pi\) | |||||||
\(728\) | −0.0378942 | −0.00140445 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.503399 | 0.0186316 | ||||||||
\(731\) | −4.51952 | + | 25.6315i | −0.167160 | + | 0.948014i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 13.7161 | + | 4.99225i | 0.506615 | + | 0.184393i | 0.582667 | − | 0.812711i | \(-0.302009\pi\) |
−0.0760518 | + | 0.997104i | \(0.524231\pi\) | |||||||
\(734\) | −6.46701 | + | 5.42646i | −0.238702 | + | 0.200294i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.30040 | + | 1.56522i | −0.158515 | + | 0.0576947i | ||||
\(737\) | 28.7534 | − | 49.8023i | 1.05915 | − | 1.83449i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 21.6083 | + | 37.4266i | 0.794873 | + | 1.37676i | 0.922920 | + | 0.384992i | \(0.125796\pi\) |
−0.128047 | + | 0.991768i | \(0.540871\pi\) | |||||||
\(740\) | 13.7210 | + | 11.5133i | 0.504392 | + | 0.423236i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.123821 | − | 0.702222i | −0.00454560 | − | 0.0257794i | ||||
\(743\) | −1.40867 | − | 7.98896i | −0.0516791 | − | 0.293087i | 0.948004 | − | 0.318258i | \(-0.103098\pi\) |
−0.999683 | + | 0.0251716i | \(0.991987\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.49809 | + | 1.25704i | 0.0548856 | + | 0.0460545i | ||||
\(746\) | 2.01116 | + | 3.48342i | 0.0736336 | + | 0.127537i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 14.9280 | − | 25.8561i | 0.545823 | − | 0.945393i | ||||
\(749\) | 14.0081 | − | 5.09855i | 0.511846 | − | 0.186297i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 6.70707 | − | 5.62790i | 0.244744 | − | 0.205365i | −0.512161 | − | 0.858890i | \(-0.671155\pi\) |
0.756905 | + | 0.653525i | \(0.226710\pi\) | |||||||
\(752\) | −19.9704 | − | 7.26861i | −0.728244 | − | 0.265059i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.0101715 | + | 0.0576854i | −0.000370424 | + | 0.00210078i | ||||
\(755\) | −18.2210 | −0.663129 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −32.1511 | −1.16855 | −0.584276 | − | 0.811555i | \(-0.698622\pi\) | ||||
−0.584276 | + | 0.811555i | \(0.698622\pi\) | |||||||
\(758\) | −0.297890 | + | 1.68942i | −0.0108199 | + | 0.0613625i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.38146 | − | 0.502809i | −0.0501107 | − | 0.0182388i | ||||
\(761\) | 18.8033 | − | 15.7778i | 0.681618 | − | 0.571945i | −0.234861 | − | 0.972029i | \(-0.575463\pi\) |
0.916479 | + | 0.400084i | \(0.131019\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 17.9846 | − | 6.54586i | 0.651087 | − | 0.236976i | ||||
\(764\) | −10.0016 | + | 17.3233i | −0.361846 | + | 0.626736i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.986770 | + | 1.70914i | 0.0356535 | + | 0.0617536i | ||||
\(767\) | −0.0512095 | − | 0.0429699i | −0.00184907 | − | 0.00155155i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 5.45505 | + | 30.9371i | 0.196714 | + | 1.11562i | 0.909956 | + | 0.414704i | \(0.136115\pi\) |
−0.713242 | + | 0.700918i | \(0.752774\pi\) | |||||||
\(770\) | 1.09986 | + | 6.23763i | 0.0396363 | + | 0.224788i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 15.1268 | + | 12.6929i | 0.544427 | + | 0.456828i | ||||
\(773\) | 14.3573 | + | 24.8675i | 0.516395 | + | 0.894422i | 0.999819 | + | 0.0190355i | \(0.00605954\pi\) |
−0.483424 | + | 0.875386i | \(0.660607\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.173332 | − | 0.300219i | 0.00622625 | − | 0.0107842i | ||||
\(776\) | 14.8549 | − | 5.40674i | 0.533260 | − | 0.194091i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 6.94243 | − | 5.82539i | 0.248898 | − | 0.208850i | ||||
\(779\) | −1.44125 | − | 0.524572i | −0.0516381 | − |