Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [490,2,Mod(3,490)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(490, base_ring=CyclotomicField(84))
chi = DirichletCharacter(H, H._module([63, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("490.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 490 = 2 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 490.w (of order \(84\), degree \(24\), 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: | \(3.91266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(672\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{84})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{84}]$ |
Embedding invariants
Embedding label | 103.24 | ||
Character | \(\chi\) | \(=\) | 490.103 |
Dual form | 490.2.w.a.157.24 |
$q$-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 \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{29}{42}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.593820 | − | 0.804598i | 0.419894 | − | 0.568937i | ||||
\(3\) | 1.65254 | − | 0.312678i | 0.954095 | − | 0.180525i | 0.314518 | − | 0.949252i | \(-0.398157\pi\) |
0.639577 | + | 0.768727i | \(0.279109\pi\) | |||||||
\(4\) | −0.294755 | − | 0.955573i | −0.147378 | − | 0.477786i | ||||
\(5\) | 2.14046 | + | 0.646873i | 0.957241 | + | 0.289290i | ||||
\(6\) | 0.729733 | − | 1.51531i | 0.297912 | − | 0.618621i | ||||
\(7\) | −1.08917 | + | 2.41116i | −0.411669 | + | 0.911334i | ||||
\(8\) | −0.943883 | − | 0.330279i | −0.333713 | − | 0.116771i | ||||
\(9\) | −0.159496 | + | 0.0625976i | −0.0531654 | + | 0.0208659i | ||||
\(10\) | 1.79152 | − | 1.33808i | 0.566528 | − | 0.423138i | ||||
\(11\) | 1.58469 | − | 4.03772i | 0.477802 | − | 1.21742i | −0.465371 | − | 0.885116i | \(-0.654079\pi\) |
0.943173 | − | 0.332303i | \(-0.107826\pi\) | |||||||
\(12\) | −0.785881 | − | 1.48696i | −0.226864 | − | 0.429248i | ||||
\(13\) | 2.32661 | + | 0.262146i | 0.645286 | + | 0.0727063i | 0.428542 | − | 0.903522i | \(-0.359028\pi\) |
0.216745 | + | 0.976228i | \(0.430456\pi\) | |||||||
\(14\) | 1.29324 | + | 2.30814i | 0.345634 | + | 0.616877i | ||||
\(15\) | 3.73946 | + | 0.399710i | 0.965523 | + | 0.103205i | ||||
\(16\) | −0.826239 | + | 0.563320i | −0.206560 | + | 0.140830i | ||||
\(17\) | 0.779339 | + | 0.0291608i | 0.189017 | + | 0.00707253i | 0.131732 | − | 0.991285i | \(-0.457946\pi\) |
0.0572851 | + | 0.998358i | \(0.481756\pi\) | |||||||
\(18\) | −0.0443461 | + | 0.165502i | −0.0104525 | + | 0.0390092i | ||||
\(19\) | 3.47180 | − | 6.01333i | 0.796485 | − | 1.37955i | −0.125406 | − | 0.992105i | \(-0.540023\pi\) |
0.921892 | − | 0.387448i | \(-0.126643\pi\) | |||||||
\(20\) | −0.0127770 | − | 2.23603i | −0.00285702 | − | 0.499992i | ||||
\(21\) | −1.04599 | + | 4.32510i | −0.228253 | + | 0.943815i | ||||
\(22\) | −2.30772 | − | 3.67272i | −0.492008 | − | 0.783026i | ||||
\(23\) | 0.123683 | + | 3.30550i | 0.0257897 | + | 0.689243i | 0.950892 | + | 0.309524i | \(0.100170\pi\) |
−0.925102 | + | 0.379719i | \(0.876021\pi\) | |||||||
\(24\) | −1.66308 | − | 0.250669i | −0.339474 | − | 0.0511675i | ||||
\(25\) | 4.16311 | + | 2.76921i | 0.832622 | + | 0.553841i | ||||
\(26\) | 1.59251 | − | 1.71632i | 0.312317 | − | 0.336598i | ||||
\(27\) | −4.51622 | + | 2.83773i | −0.869147 | + | 0.546121i | ||||
\(28\) | 2.62508 | + | 0.330082i | 0.496094 | + | 0.0623796i | ||||
\(29\) | −8.83692 | + | 2.01697i | −1.64097 | + | 0.374542i | −0.940675 | − | 0.339308i | \(-0.889807\pi\) |
−0.700299 | + | 0.713850i | \(0.746950\pi\) | |||||||
\(30\) | 2.54217 | − | 2.77140i | 0.464135 | − | 0.505986i | ||||
\(31\) | −2.15200 | + | 1.24246i | −0.386511 | + | 0.223152i | −0.680647 | − | 0.732611i | \(-0.738301\pi\) |
0.294137 | + | 0.955763i | \(0.404968\pi\) | |||||||
\(32\) | −0.0373912 | + | 0.999301i | −0.00660989 | + | 0.176653i | ||||
\(33\) | 1.35626 | − | 7.16800i | 0.236094 | − | 1.24779i | ||||
\(34\) | 0.486250 | − | 0.609738i | 0.0833911 | − | 0.104569i | ||||
\(35\) | −3.89104 | + | 4.45643i | −0.657706 | + | 0.753274i | ||||
\(36\) | 0.106829 | + | 0.133959i | 0.0178048 | + | 0.0223265i | ||||
\(37\) | −4.10585 | + | 2.17001i | −0.674998 | + | 0.356747i | −0.769382 | − | 0.638789i | \(-0.779436\pi\) |
0.0943839 | + | 0.995536i | \(0.469912\pi\) | |||||||
\(38\) | −2.77669 | − | 6.36424i | −0.450439 | − | 1.03242i | ||||
\(39\) | 3.92679 | − | 0.294272i | 0.628790 | − | 0.0471213i | ||||
\(40\) | −1.80669 | − | 1.31752i | −0.285663 | − | 0.208318i | ||||
\(41\) | 0.857819 | + | 1.78128i | 0.133969 | + | 0.278189i | 0.957152 | − | 0.289587i | \(-0.0935181\pi\) |
−0.823183 | + | 0.567777i | \(0.807804\pi\) | |||||||
\(42\) | 2.85884 | + | 3.40993i | 0.441129 | + | 0.526164i | ||||
\(43\) | −0.471365 | − | 1.34709i | −0.0718826 | − | 0.205429i | 0.902337 | − | 0.431032i | \(-0.141850\pi\) |
−0.974219 | + | 0.225603i | \(0.927565\pi\) | |||||||
\(44\) | −4.32543 | − | 0.324146i | −0.652083 | − | 0.0488669i | ||||
\(45\) | −0.381887 | + | 0.0308139i | −0.0569284 | + | 0.00459346i | ||||
\(46\) | 2.73304 | + | 1.86335i | 0.402965 | + | 0.274737i | ||||
\(47\) | −0.730414 | − | 0.539070i | −0.106542 | − | 0.0786315i | 0.539246 | − | 0.842148i | \(-0.318709\pi\) |
−0.645788 | + | 0.763517i | \(0.723471\pi\) | |||||||
\(48\) | −1.18926 | + | 1.18926i | −0.171654 | + | 0.171654i | ||||
\(49\) | −4.62740 | − | 5.25235i | −0.661058 | − | 0.750335i | ||||
\(50\) | 4.70024 | − | 1.70522i | 0.664714 | − | 0.241155i | ||||
\(51\) | 1.29701 | − | 0.195492i | 0.181617 | − | 0.0273744i | ||||
\(52\) | −0.435281 | − | 2.30052i | −0.0603626 | − | 0.319024i | ||||
\(53\) | −8.97091 | − | 4.74126i | −1.23225 | − | 0.651263i | −0.281006 | − | 0.959706i | \(-0.590668\pi\) |
−0.951243 | + | 0.308443i | \(0.900192\pi\) | |||||||
\(54\) | −0.398592 | + | 5.31884i | −0.0542415 | + | 0.723803i | ||||
\(55\) | 6.00385 | − | 7.61748i | 0.809559 | − | 1.02714i | ||||
\(56\) | 1.82441 | − | 1.91612i | 0.243797 | − | 0.256053i | ||||
\(57\) | 3.85706 | − | 11.0228i | 0.510880 | − | 1.46001i | ||||
\(58\) | −3.62469 | + | 8.30788i | −0.475945 | + | 1.09088i | ||||
\(59\) | 0.327138 | + | 4.36535i | 0.0425897 | + | 0.568320i | 0.977155 | + | 0.212528i | \(0.0681698\pi\) |
−0.934565 | + | 0.355792i | \(0.884211\pi\) | |||||||
\(60\) | −0.720272 | − | 3.69114i | −0.0929867 | − | 0.476524i | ||||
\(61\) | −2.74000 | + | 8.88287i | −0.350821 | + | 1.13734i | 0.592532 | + | 0.805547i | \(0.298128\pi\) |
−0.943354 | + | 0.331789i | \(0.892348\pi\) | |||||||
\(62\) | −0.278222 | + | 2.46929i | −0.0353343 | + | 0.313600i | ||||
\(63\) | 0.0227860 | − | 0.452751i | 0.00287076 | − | 0.0570412i | ||||
\(64\) | 0.781831 | + | 0.623490i | 0.0977289 | + | 0.0779362i | ||||
\(65\) | 4.81044 | + | 2.06613i | 0.596661 | + | 0.256272i | ||||
\(66\) | −4.96198 | − | 5.34774i | −0.610778 | − | 0.658262i | ||||
\(67\) | 13.0564 | + | 3.49846i | 1.59510 | + | 0.427405i | 0.943557 | − | 0.331210i | \(-0.107457\pi\) |
0.651539 | + | 0.758615i | \(0.274124\pi\) | |||||||
\(68\) | −0.201849 | − | 0.753310i | −0.0244778 | − | 0.0913523i | ||||
\(69\) | 1.23795 | + | 5.42379i | 0.149031 | + | 0.652948i | ||||
\(70\) | 1.27506 | + | 5.77704i | 0.152398 | + | 0.690489i | ||||
\(71\) | −0.703351 | + | 3.08158i | −0.0834725 | + | 0.365717i | −0.999362 | − | 0.0357135i | \(-0.988630\pi\) |
0.915890 | + | 0.401430i | \(0.131487\pi\) | |||||||
\(72\) | 0.171221 | − | 0.00640662i | 0.0201785 | − | 0.000755027i | ||||
\(73\) | −1.23868 | + | 0.914190i | −0.144977 | + | 0.106998i | −0.663894 | − | 0.747827i | \(-0.731097\pi\) |
0.518917 | + | 0.854825i | \(0.326335\pi\) | |||||||
\(74\) | −0.692156 | + | 4.59215i | −0.0804615 | + | 0.533827i | ||||
\(75\) | 7.74558 | + | 3.27451i | 0.894383 | + | 0.378108i | ||||
\(76\) | −6.76951 | − | 1.54510i | −0.776516 | − | 0.177235i | ||||
\(77\) | 8.00960 | + | 8.21872i | 0.912779 | + | 0.936610i | ||||
\(78\) | 2.09504 | − | 3.33423i | 0.237216 | − | 0.377527i | ||||
\(79\) | −9.34859 | − | 5.39741i | −1.05180 | − | 0.607256i | −0.128646 | − | 0.991691i | \(-0.541063\pi\) |
−0.923152 | + | 0.384434i | \(0.874396\pi\) | |||||||
\(80\) | −2.13292 | + | 0.671291i | −0.238468 | + | 0.0750526i | ||||
\(81\) | −6.19914 | + | 5.75196i | −0.688794 | + | 0.639107i | ||||
\(82\) | 1.94260 | + | 0.367561i | 0.214525 | + | 0.0405903i | ||||
\(83\) | −0.463318 | − | 4.11206i | −0.0508558 | − | 0.451358i | −0.993174 | − | 0.116640i | \(-0.962788\pi\) |
0.942318 | − | 0.334718i | \(-0.108641\pi\) | |||||||
\(84\) | 4.44126 | − | 0.275330i | 0.484581 | − | 0.0300409i | ||||
\(85\) | 1.64928 | + | 0.566550i | 0.178889 | + | 0.0614510i | ||||
\(86\) | −1.36377 | − | 0.420667i | −0.147059 | − | 0.0453617i | ||||
\(87\) | −13.9727 | + | 6.09623i | −1.49803 | + | 0.653585i | ||||
\(88\) | −2.82934 | + | 3.28775i | −0.301608 | + | 0.350475i | ||||
\(89\) | −4.82612 | − | 12.2968i | −0.511568 | − | 1.30345i | −0.920448 | − | 0.390866i | \(-0.872176\pi\) |
0.408879 | − | 0.912588i | \(-0.365920\pi\) | |||||||
\(90\) | −0.201980 | + | 0.325564i | −0.0212905 | + | 0.0343174i | ||||
\(91\) | −3.16616 | + | 5.32432i | −0.331904 | + | 0.558140i | ||||
\(92\) | 3.12219 | − | 1.09250i | 0.325510 | − | 0.113901i | ||||
\(93\) | −3.16778 | + | 2.72609i | −0.328483 | + | 0.282683i | ||||
\(94\) | −0.867470 | + | 0.267579i | −0.0894727 | + | 0.0275987i | ||||
\(95\) | 11.3211 | − | 10.6255i | 1.16152 | − | 1.09015i | ||||
\(96\) | 0.250669 | + | 1.66308i | 0.0255837 | + | 0.169737i | ||||
\(97\) | −5.07148 | − | 5.07148i | −0.514930 | − | 0.514930i | 0.401103 | − | 0.916033i | \(-0.368627\pi\) |
−0.916033 | + | 0.401103i | \(0.868627\pi\) | |||||||
\(98\) | −6.97387 | + | 0.604248i | −0.704467 | + | 0.0610383i | ||||
\(99\) | 0.743199i | 0.0746943i | ||||||||
\(100\) | 1.41908 | − | 4.79439i | 0.141908 | − | 0.479439i | ||||
\(101\) | −6.04655 | + | 8.86866i | −0.601654 | + | 0.882465i | −0.999386 | − | 0.0350371i | \(-0.988845\pi\) |
0.397732 | + | 0.917502i | \(0.369797\pi\) | |||||||
\(102\) | 0.612896 | − | 1.15966i | 0.0606858 | − | 0.114823i | ||||
\(103\) | −6.40180 | − | 7.43903i | −0.630789 | − | 0.732990i | 0.348083 | − | 0.937464i | \(-0.386833\pi\) |
−0.978872 | + | 0.204474i | \(0.934452\pi\) | |||||||
\(104\) | −2.10947 | − | 1.01587i | −0.206850 | − | 0.0996139i | ||||
\(105\) | −5.03668 | + | 8.58108i | −0.491530 | + | 0.837428i | ||||
\(106\) | −9.14192 | + | 4.40251i | −0.887941 | + | 0.427610i | ||||
\(107\) | −4.07462 | − | 1.77774i | −0.393908 | − | 0.171860i | 0.193596 | − | 0.981081i | \(-0.437985\pi\) |
−0.587504 | + | 0.809221i | \(0.699890\pi\) | |||||||
\(108\) | 4.04284 | + | 3.47914i | 0.389022 | + | 0.334781i | ||||
\(109\) | 11.1362 | + | 4.37062i | 1.06665 | + | 0.418629i | 0.832760 | − | 0.553634i | \(-0.186759\pi\) |
0.233890 | + | 0.972263i | \(0.424855\pi\) | |||||||
\(110\) | −2.56380 | − | 9.35410i | −0.244449 | − | 0.891878i | ||||
\(111\) | −6.10658 | + | 4.86983i | −0.579611 | + | 0.462224i | ||||
\(112\) | −0.458338 | − | 2.60575i | −0.0433089 | − | 0.246220i | ||||
\(113\) | 16.6108 | − | 1.87158i | 1.56261 | − | 0.176064i | 0.712121 | − | 0.702057i | \(-0.247735\pi\) |
0.850489 | + | 0.525993i | \(0.176306\pi\) | |||||||
\(114\) | −6.57855 | − | 9.64896i | −0.616138 | − | 0.903708i | ||||
\(115\) | −1.87350 | + | 7.15528i | −0.174704 | + | 0.667233i | ||||
\(116\) | 4.53209 | + | 7.84981i | 0.420794 | + | 0.728836i | ||||
\(117\) | −0.387496 | + | 0.103829i | −0.0358240 | + | 0.00959901i | ||||
\(118\) | 3.70661 | + | 2.32902i | 0.341221 | + | 0.214404i | ||||
\(119\) | −0.919146 | + | 1.84735i | −0.0842580 | + | 0.169346i | ||||
\(120\) | −3.39759 | − | 1.61234i | −0.310156 | − | 0.147186i | ||||
\(121\) | −5.72839 | − | 5.31517i | −0.520762 | − | 0.483197i | ||||
\(122\) | 5.52007 | + | 7.47943i | 0.499764 | + | 0.677156i | ||||
\(123\) | 1.97455 | + | 2.67542i | 0.178039 | + | 0.241234i | ||||
\(124\) | 1.82157 | + | 1.69017i | 0.163582 | + | 0.151782i | ||||
\(125\) | 7.11964 | + | 8.62037i | 0.636800 | + | 0.771029i | ||||
\(126\) | −0.350752 | − | 0.287186i | −0.0312474 | − | 0.0255846i | ||||
\(127\) | 9.15105 | + | 5.74998i | 0.812024 | + | 0.510228i | 0.872890 | − | 0.487917i | \(-0.162243\pi\) |
−0.0608658 | + | 0.998146i | \(0.519386\pi\) | |||||||
\(128\) | 0.965926 | − | 0.258819i | 0.0853766 | − | 0.0228766i | ||||
\(129\) | −1.20015 | − | 2.07873i | −0.105668 | − | 0.183022i | ||||
\(130\) | 4.51894 | − | 2.64356i | 0.396337 | − | 0.231855i | ||||
\(131\) | −0.659078 | − | 0.966690i | −0.0575839 | − | 0.0844601i | 0.796367 | − | 0.604814i | \(-0.206752\pi\) |
−0.853951 | + | 0.520354i | \(0.825800\pi\) | |||||||
\(132\) | −7.24931 | + | 0.816801i | −0.630971 | + | 0.0710934i | ||||
\(133\) | 10.7177 | + | 14.9206i | 0.929345 | + | 1.29378i | ||||
\(134\) | 10.5680 | − | 8.42771i | 0.912938 | − | 0.728044i | ||||
\(135\) | −11.5024 | + | 3.15262i | −0.989971 | + | 0.271334i | ||||
\(136\) | −0.725974 | − | 0.284924i | −0.0622517 | − | 0.0244320i | ||||
\(137\) | 7.11172 | + | 6.12013i | 0.607595 | + | 0.522878i | 0.901400 | − | 0.432987i | \(-0.142541\pi\) |
−0.293805 | + | 0.955866i | \(0.594921\pi\) | |||||||
\(138\) | 5.09909 | + | 2.22471i | 0.434063 | + | 0.189380i | ||||
\(139\) | −1.53657 | + | 0.739975i | −0.130330 | + | 0.0627638i | −0.497913 | − | 0.867227i | \(-0.665900\pi\) |
0.367582 | + | 0.929991i | \(0.380186\pi\) | |||||||
\(140\) | 5.40535 | + | 2.40462i | 0.456835 | + | 0.203227i | ||||
\(141\) | −1.37560 | − | 0.662452i | −0.115846 | − | 0.0557885i | ||||
\(142\) | 2.06177 | + | 2.39582i | 0.173020 | + | 0.201053i | ||||
\(143\) | 4.74543 | − | 8.97879i | 0.396833 | − | 0.750844i | ||||
\(144\) | 0.0965194 | − | 0.141568i | 0.00804329 | − | 0.0117973i | ||||
\(145\) | −20.2198 | − | 1.39912i | −1.67916 | − | 0.116191i | ||||
\(146\) | 1.53951i | 0.127410i | ||||||||
\(147\) | −9.28926 | − | 7.23283i | −0.766166 | − | 0.596554i | ||||
\(148\) | 3.28382 | + | 3.28382i | 0.269928 | + | 0.269928i | ||||
\(149\) | −1.55209 | − | 10.2974i | −0.127152 | − | 0.843598i | −0.957932 | − | 0.286997i | \(-0.907343\pi\) |
0.830780 | − | 0.556602i | \(-0.187895\pi\) | |||||||
\(150\) | 7.23415 | − | 4.28761i | 0.590666 | − | 0.350082i | ||||
\(151\) | 19.8528 | − | 6.12379i | 1.61560 | − | 0.498347i | 0.650342 | − | 0.759642i | \(-0.274626\pi\) |
0.965259 | + | 0.261295i | \(0.0841496\pi\) | |||||||
\(152\) | −5.26305 | + | 4.52922i | −0.426890 | + | 0.367368i | ||||
\(153\) | −0.126127 | + | 0.0441337i | −0.0101968 | + | 0.00356800i | ||||
\(154\) | 11.3690 | − | 1.56406i | 0.916142 | − | 0.126036i | ||||
\(155\) | −5.40997 | + | 1.26736i | −0.434540 | + | 0.101797i | ||||
\(156\) | −1.43864 | − | 3.66560i | −0.115183 | − | 0.293483i | ||||
\(157\) | −10.7689 | + | 12.5137i | −0.859456 | + | 0.998706i | 0.140507 | + | 0.990080i | \(0.455127\pi\) |
−0.999963 | + | 0.00862591i | \(0.997254\pi\) | |||||||
\(158\) | −9.89413 | + | 4.31676i | −0.787134 | + | 0.343423i | ||||
\(159\) | −16.3073 | − | 5.03013i | −1.29325 | − | 0.398915i | ||||
\(160\) | −0.726454 | + | 2.11477i | −0.0574313 | + | 0.167187i | ||||
\(161\) | −8.10480 | − | 3.30204i | −0.638747 | − | 0.260237i | ||||
\(162\) | 0.946841 | + | 8.40345i | 0.0743909 | + | 0.660237i | ||||
\(163\) | 19.4621 | + | 3.68243i | 1.52439 | + | 0.288430i | 0.879520 | − | 0.475863i | \(-0.157864\pi\) |
0.644870 | + | 0.764293i | \(0.276912\pi\) | |||||||
\(164\) | 1.44930 | − | 1.34475i | 0.113171 | − | 0.105007i | ||||
\(165\) | 7.53979 | − | 14.4655i | 0.586972 | − | 1.12613i | ||||
\(166\) | −3.58369 | − | 2.06904i | −0.278148 | − | 0.160589i | ||||
\(167\) | 4.59507 | − | 7.31301i | 0.355577 | − | 0.565898i | −0.620260 | − | 0.784396i | \(-0.712973\pi\) |
0.975837 | + | 0.218499i | \(0.0701159\pi\) | |||||||
\(168\) | 2.41578 | − | 3.73693i | 0.186382 | − | 0.288310i | ||||
\(169\) | −7.32966 | − | 1.67295i | −0.563820 | − | 0.128688i | ||||
\(170\) | 1.43522 | − | 0.990576i | 0.110076 | − | 0.0759737i | ||||
\(171\) | −0.177318 | + | 1.17643i | −0.0135599 | + | 0.0899639i | ||||
\(172\) | −1.14830 | + | 0.847484i | −0.0875571 | + | 0.0646201i | ||||
\(173\) | 5.55294 | − | 0.207776i | 0.422182 | − | 0.0157969i | 0.174544 | − | 0.984649i | \(-0.444155\pi\) |
0.247639 | + | 0.968852i | \(0.420345\pi\) | |||||||
\(174\) | −3.39226 | + | 14.8625i | −0.257167 | + | 1.12672i | ||||
\(175\) | −11.2114 | + | 7.02179i | −0.847499 | + | 0.530798i | ||||
\(176\) | 0.965198 | + | 4.22881i | 0.0727545 | + | 0.318758i | ||||
\(177\) | 1.90556 | + | 7.11163i | 0.143230 | + | 0.534543i | ||||
\(178\) | −12.7598 | − | 3.41898i | −0.956387 | − | 0.256263i | ||||
\(179\) | −6.22736 | − | 6.71150i | −0.465455 | − | 0.501641i | 0.456079 | − | 0.889939i | \(-0.349253\pi\) |
−0.921534 | + | 0.388298i | \(0.873063\pi\) | |||||||
\(180\) | 0.142008 | + | 0.355839i | 0.0105847 | + | 0.0265227i | ||||
\(181\) | −19.4878 | − | 15.5410i | −1.44851 | − | 1.15515i | −0.959089 | − | 0.283106i | \(-0.908635\pi\) |
−0.489425 | − | 0.872045i | \(-0.662793\pi\) | |||||||
\(182\) | 2.40380 | + | 5.70917i | 0.178182 | + | 0.423192i | ||||
\(183\) | −1.75049 | + | 15.5361i | −0.129400 | + | 1.14846i | ||||
\(184\) | 0.974994 | − | 3.16085i | 0.0718775 | − | 0.233021i | ||||
\(185\) | −10.1921 | + | 1.98884i | −0.749339 | + | 0.146223i | ||||
\(186\) | 0.312318 | + | 4.16760i | 0.0229003 | + | 0.305583i | ||||
\(187\) | 1.35275 | − | 3.10054i | 0.0989231 | − | 0.226734i | ||||
\(188\) | −0.299828 | + | 0.856858i | −0.0218672 | + | 0.0624928i | ||||
\(189\) | −1.92328 | − | 13.9801i | −0.139898 | − | 1.01690i | ||||
\(190\) | −1.82653 | − | 15.4185i | −0.132511 | − | 1.11858i | ||||
\(191\) | 0.726982 | − | 9.70090i | 0.0526026 | − | 0.701933i | −0.907100 | − | 0.420915i | \(-0.861709\pi\) |
0.959703 | − | 0.281018i | \(-0.0906719\pi\) | |||||||
\(192\) | 1.48696 | + | 0.785881i | 0.107312 | + | 0.0567161i | ||||
\(193\) | 4.99482 | + | 26.3983i | 0.359535 | + | 1.90019i | 0.430283 | + | 0.902694i | \(0.358414\pi\) |
−0.0707483 | + | 0.997494i | \(0.522539\pi\) | |||||||
\(194\) | −7.09204 | + | 1.06895i | −0.509179 | + | 0.0767464i | ||||
\(195\) | 8.59548 | + | 1.91026i | 0.615535 | + | 0.136796i | ||||
\(196\) | −3.65505 | + | 5.96998i | −0.261075 | + | 0.426427i | ||||
\(197\) | 8.40208 | − | 8.40208i | 0.598623 | − | 0.598623i | −0.341323 | − | 0.939946i | \(-0.610875\pi\) |
0.939946 | + | 0.341323i | \(0.110875\pi\) | |||||||
\(198\) | 0.597976 | + | 0.441327i | 0.0424963 | + | 0.0313637i | ||||
\(199\) | 18.1748 | + | 12.3914i | 1.28838 | + | 0.878400i | 0.996939 | − | 0.0781895i | \(-0.0249139\pi\) |
0.291438 | + | 0.956590i | \(0.405866\pi\) | |||||||
\(200\) | −3.01488 | − | 3.98880i | −0.213184 | − | 0.282050i | ||||
\(201\) | 22.6702 | + | 1.69889i | 1.59903 | + | 0.119831i | ||||
\(202\) | 3.54514 | + | 10.1314i | 0.249435 | + | 0.712845i | ||||
\(203\) | 4.76170 | − | 23.5041i | 0.334206 | − | 1.64966i | ||||
\(204\) | −0.569107 | − | 1.18176i | −0.0398454 | − | 0.0827399i | ||||
\(205\) | 0.683864 | + | 4.36765i | 0.0477631 | + | 0.305050i | ||||
\(206\) | −9.78695 | + | 0.733430i | −0.681889 | + | 0.0511005i | ||||
\(207\) | −0.226643 | − | 0.519472i | −0.0157528 | − | 0.0361058i | ||||
\(208\) | −2.07001 | + | 1.09403i | −0.143529 | + | 0.0758575i | ||||
\(209\) | −18.7784 | − | 23.5474i | −1.29893 | − | 1.62881i | ||||
\(210\) | 3.91343 | + | 9.14812i | 0.270053 | + | 0.631280i | ||||
\(211\) | −1.77603 | + | 2.22707i | −0.122267 | + | 0.153318i | −0.839198 | − | 0.543826i | \(-0.816975\pi\) |
0.716931 | + | 0.697144i | \(0.245546\pi\) | |||||||
\(212\) | −1.88640 | + | 9.96987i | −0.129559 | + | 0.684733i | ||||
\(213\) | −0.198775 | + | 5.31237i | −0.0136198 | + | 0.363997i | ||||
\(214\) | −3.84995 | + | 2.22277i | −0.263177 | + | 0.151946i | ||||
\(215\) | −0.137545 | − | 3.18829i | −0.00938050 | − | 0.217440i | ||||
\(216\) | 5.20003 | − | 1.18687i | 0.353817 | − | 0.0807564i | ||||
\(217\) | −0.651865 | − | 6.54207i | −0.0442515 | − | 0.444105i | ||||
\(218\) | 10.1295 | − | 6.36476i | 0.686054 | − | 0.431076i | ||||
\(219\) | −1.76113 | + | 1.89804i | −0.119006 | + | 0.128258i | ||||
\(220\) | −9.04872 | − | 3.49182i | −0.610065 | − | 0.235419i | ||||
\(221\) | 1.80557 | + | 0.272147i | 0.121456 | + | 0.0183066i | ||||
\(222\) | 0.292048 | + | 7.80514i | 0.0196010 | + | 0.523847i | ||||
\(223\) | 11.6001 | + | 18.4614i | 0.776797 | + | 1.23627i | 0.967064 | + | 0.254533i | \(0.0819217\pi\) |
−0.190267 | + | 0.981732i | \(0.560935\pi\) | |||||||
\(224\) | −2.36875 | − | 1.17857i | −0.158269 | − | 0.0787464i | ||||
\(225\) | −0.837346 | − | 0.181077i | −0.0558231 | − | 0.0120718i | ||||
\(226\) | 8.35794 | − | 14.4764i | 0.555962 | − | 0.962954i | ||||
\(227\) | 6.26416 | − | 23.3782i | 0.415767 | − | 1.55166i | −0.367528 | − | 0.930012i | \(-0.619796\pi\) |
0.783295 | − | 0.621650i | \(-0.213537\pi\) | |||||||
\(228\) | −11.6700 | − | 0.436661i | −0.772865 | − | 0.0289186i | ||||
\(229\) | −8.14974 | + | 5.55640i | −0.538550 | + | 0.367177i | −0.801839 | − | 0.597540i | \(-0.796145\pi\) |
0.263289 | + | 0.964717i | \(0.415193\pi\) | |||||||
\(230\) | 4.64460 | + | 5.75636i | 0.306256 | + | 0.379563i | ||||
\(231\) | 15.8060 | + | 11.0774i | 1.03996 | + | 0.728836i | ||||
\(232\) | 9.00718 | + | 1.01487i | 0.591350 | + | 0.0666292i | ||||
\(233\) | −5.79169 | − | 10.9584i | −0.379426 | − | 0.717910i | 0.618254 | − | 0.785978i | \(-0.287840\pi\) |
−0.997681 | + | 0.0680684i | \(0.978316\pi\) | |||||||
\(234\) | −0.146562 | + | 0.373434i | −0.00958106 | + | 0.0244121i | ||||
\(235\) | −1.21471 | − | 1.62634i | −0.0792390 | − | 0.106091i | ||||
\(236\) | 4.07499 | − | 1.59931i | 0.265259 | − | 0.104106i | ||||
\(237\) | −17.1366 | − | 5.99635i | −1.11314 | − | 0.389505i | ||||
\(238\) | 0.940566 | + | 1.83654i | 0.0609679 | + | 0.119045i | ||||
\(239\) | 7.55161 | − | 15.6811i | 0.488473 | − | 1.01433i | −0.500432 | − | 0.865776i | \(-0.666825\pi\) |
0.988905 | − | 0.148549i | \(-0.0474603\pi\) | |||||||
\(240\) | −3.31485 | + | 1.77625i | −0.213973 | + | 0.114657i | ||||
\(241\) | 1.57910 | + | 5.11933i | 0.101719 | + | 0.329765i | 0.992100 | − | 0.125452i | \(-0.0400380\pi\) |
−0.890381 | + | 0.455217i | \(0.849562\pi\) | |||||||
\(242\) | −7.67820 | + | 1.45279i | −0.493574 | + | 0.0933892i | ||||
\(243\) | 1.05605 | − | 1.43090i | 0.0677456 | − | 0.0917921i | ||||
\(244\) | 9.29586 | 0.595107 | ||||||||
\(245\) | −6.50716 | − | 14.2358i | −0.415727 | − | 0.909489i | ||||
\(246\) | 3.32516 | 0.212005 | ||||||||
\(247\) | 9.65391 | − | 13.0806i | 0.614263 | − | 0.832297i | ||||
\(248\) | 2.44159 | − | 0.461975i | 0.155041 | − | 0.0293354i | ||||
\(249\) | −2.05140 | − | 6.65049i | −0.130002 | − | 0.421457i | ||||
\(250\) | 11.1637 | − | 0.609497i | 0.706055 | − | 0.0385480i | ||||
\(251\) | −4.66158 | + | 9.67987i | −0.294236 | + | 0.610988i | −0.994714 | − | 0.102687i | \(-0.967256\pi\) |
0.700477 | + | 0.713675i | \(0.252970\pi\) | |||||||
\(252\) | −0.439353 | + | 0.111677i | −0.0276766 | + | 0.00703499i | ||||
\(253\) | 13.5427 | + | 4.73878i | 0.851420 | + | 0.297925i | ||||
\(254\) | 10.0605 | − | 3.94845i | 0.631252 | − | 0.247748i | ||||
\(255\) | 2.90265 | + | 0.420555i | 0.181771 | + | 0.0263362i | ||||
\(256\) | 0.365341 | − | 0.930874i | 0.0228338 | − | 0.0581796i | ||||
\(257\) | 1.64761 | + | 3.11743i | 0.102775 | + | 0.194460i | 0.930140 | − | 0.367204i | \(-0.119685\pi\) |
−0.827365 | + | 0.561664i | \(0.810161\pi\) | |||||||
\(258\) | −2.38522 | − | 0.268749i | −0.148497 | − | 0.0167316i | ||||
\(259\) | −0.760251 | − | 12.2634i | −0.0472397 | − | 0.762010i | ||||
\(260\) | 0.556440 | − | 5.20573i | 0.0345090 | − | 0.322846i | ||||
\(261\) | 1.28320 | − | 0.874869i | 0.0794279 | − | 0.0541530i | ||||
\(262\) | −1.16917 | − | 0.0437473i | −0.0722316 | − | 0.00270272i | ||||
\(263\) | 6.83585 | − | 25.5117i | 0.421516 | − | 1.57312i | −0.349898 | − | 0.936788i | \(-0.613784\pi\) |
0.771415 | − | 0.636333i | \(-0.219549\pi\) | |||||||
\(264\) | −3.64759 | + | 6.31781i | −0.224494 | + | 0.388834i | ||||
\(265\) | −16.1348 | − | 15.9515i | −0.991156 | − | 0.979893i | ||||
\(266\) | 18.3695 | + | 0.236713i | 1.12631 | + | 0.0145138i | ||||
\(267\) | −11.8203 | − | 18.8119i | −0.723390 | − | 1.15127i | ||||
\(268\) | −0.505417 | − | 13.5076i | −0.0308733 | − | 0.825105i | ||||
\(269\) | 26.6724 | + | 4.02022i | 1.62625 | + | 0.245117i | 0.897935 | − | 0.440128i | \(-0.145067\pi\) |
0.728312 | + | 0.685246i | \(0.240305\pi\) | |||||||
\(270\) | −4.29378 | + | 11.1269i | −0.261311 | + | 0.677162i | ||||
\(271\) | 15.9810 | − | 17.2234i | 0.970775 | − | 1.04625i | −0.0281368 | − | 0.999604i | \(-0.508957\pi\) |
0.998912 | − | 0.0466424i | \(-0.0148521\pi\) | |||||||
\(272\) | −0.660347 | + | 0.414923i | −0.0400394 | + | 0.0251584i | ||||
\(273\) | −3.56742 | + | 9.78864i | −0.215910 | + | 0.592435i | ||||
\(274\) | 9.14733 | − | 2.08782i | 0.552610 | − | 0.126130i | ||||
\(275\) | 17.7785 | − | 12.4212i | 1.07209 | − | 0.749024i | ||||
\(276\) | 4.81794 | − | 2.78164i | 0.290006 | − | 0.167435i | ||||
\(277\) | −0.883262 | + | 23.6057i | −0.0530701 | + | 1.41833i | 0.677517 | + | 0.735507i | \(0.263056\pi\) |
−0.730587 | + | 0.682820i | \(0.760753\pi\) | |||||||
\(278\) | −0.317066 | + | 1.67574i | −0.0190164 | + | 0.100504i | ||||
\(279\) | 0.265461 | − | 0.332877i | 0.0158927 | − | 0.0199289i | ||||
\(280\) | 5.14456 | − | 2.92122i | 0.307446 | − | 0.174576i | ||||
\(281\) | −4.02275 | − | 5.04438i | −0.239977 | − | 0.300922i | 0.647228 | − | 0.762296i | \(-0.275928\pi\) |
−0.887206 | + | 0.461374i | \(0.847357\pi\) | |||||||
\(282\) | −1.34986 | + | 0.713424i | −0.0803832 | + | 0.0424838i | ||||
\(283\) | 8.28608 | + | 18.9919i | 0.492556 | + | 1.12895i | 0.968396 | + | 0.249419i | \(0.0802396\pi\) |
−0.475839 | + | 0.879532i | \(0.657856\pi\) | |||||||
\(284\) | 3.15199 | − | 0.236209i | 0.187036 | − | 0.0140164i | ||||
\(285\) | 15.3862 | − | 21.0989i | 0.911402 | − | 1.24979i | ||||
\(286\) | −4.40638 | − | 9.14995i | −0.260555 | − | 0.541048i | ||||
\(287\) | −5.22927 | + | 0.128218i | −0.308674 | + | 0.00756848i | ||||
\(288\) | −0.0565901 | − | 0.161725i | −0.00333460 | − | 0.00952975i | ||||
\(289\) | −16.3459 | − | 1.22496i | −0.961526 | − | 0.0720564i | ||||
\(290\) | −13.1326 | + | 15.4379i | −0.771175 | + | 0.906548i | ||||
\(291\) | −9.96656 | − | 6.79509i | −0.584250 | − | 0.398335i | ||||
\(292\) | 1.23868 | + | 0.914190i | 0.0724884 | + | 0.0534989i | ||||
\(293\) | 2.68664 | − | 2.68664i | 0.156955 | − | 0.156955i | −0.624261 | − | 0.781216i | \(-0.714600\pi\) |
0.781216 | + | 0.624261i | \(0.214600\pi\) | |||||||
\(294\) | −11.3357 | + | 3.17912i | −0.661110 | + | 0.185410i | ||||
\(295\) | −2.12360 | + | 9.55546i | −0.123641 | + | 0.556341i | ||||
\(296\) | 4.59215 | − | 0.692156i | 0.266914 | − | 0.0402307i | ||||
\(297\) | 4.30116 | + | 22.7322i | 0.249578 | + | 1.31905i | ||||
\(298\) | −9.20695 | − | 4.86602i | −0.533344 | − | 0.281881i | ||||
\(299\) | −0.578761 | + | 7.72303i | −0.0334706 | + | 0.446634i | ||||
\(300\) | 0.845986 | − | 8.36665i | 0.0488430 | − | 0.483049i | ||||
\(301\) | 3.76144 | + | 0.330671i | 0.216806 | + | 0.0190596i | ||||
\(302\) | 6.86183 | − | 19.6100i | 0.394854 | − | 1.12843i | ||||
\(303\) | −7.21914 | + | 16.5464i | −0.414729 | + | 0.950569i | ||||
\(304\) | 0.518896 | + | 6.92418i | 0.0297607 | + | 0.397129i | ||||
\(305\) | −11.6109 | + | 17.2410i | −0.664841 | + | 0.987215i | ||||
\(306\) | −0.0393868 | + | 0.127689i | −0.00225160 | + | 0.00729949i | ||||
\(307\) | 1.80096 | − | 15.9839i | 0.102786 | − | 0.912252i | −0.831451 | − | 0.555599i | \(-0.812489\pi\) |
0.934237 | − | 0.356653i | \(-0.116082\pi\) | |||||||
\(308\) | 5.49272 | − | 10.0763i | 0.312976 | − | 0.574149i | ||||
\(309\) | −12.9053 | − | 10.2916i | −0.734155 | − | 0.585469i | ||||
\(310\) | −2.19284 | + | 5.10544i | −0.124545 | + | 0.289969i | ||||
\(311\) | −11.8109 | − | 12.7292i | −0.669737 | − | 0.721805i | 0.303187 | − | 0.952931i | \(-0.401949\pi\) |
−0.972924 | + | 0.231126i | \(0.925759\pi\) | |||||||
\(312\) | −3.80362 | − | 1.01918i | −0.215338 | − | 0.0576996i | ||||
\(313\) | −7.27158 | − | 27.1379i | −0.411014 | − | 1.53393i | −0.792687 | − | 0.609628i | \(-0.791319\pi\) |
0.381673 | − | 0.924297i | \(-0.375348\pi\) | |||||||
\(314\) | 3.67371 | + | 16.0956i | 0.207320 | + | 0.908326i | ||||
\(315\) | 0.341644 | − | 0.954354i | 0.0192495 | − | 0.0537718i | ||||
\(316\) | −2.40207 | + | 10.5242i | −0.135127 | + | 0.592031i | ||||
\(317\) | −20.0115 | + | 0.748777i | −1.12396 | + | 0.0420555i | −0.592897 | − | 0.805278i | \(-0.702016\pi\) |
−0.531061 | + | 0.847334i | \(0.678206\pi\) | |||||||
\(318\) | −13.7308 | + | 10.1338i | −0.769986 | + | 0.568276i | ||||
\(319\) | −5.85981 | + | 38.8773i | −0.328086 | + | 2.17671i | ||||
\(320\) | 1.27016 | + | 1.84030i | 0.0710040 | + | 0.102876i | ||||
\(321\) | −7.28933 | − | 1.66374i | −0.406851 | − | 0.0928610i | ||||
\(322\) | −7.46960 | + | 4.56028i | −0.416265 | + | 0.254135i | ||||
\(323\) | 2.88106 | − | 4.58518i | 0.160307 | − | 0.255126i | ||||
\(324\) | 7.32365 | + | 4.22831i | 0.406869 | + | 0.234906i | ||||
\(325\) | 8.96001 | + | 7.53421i | 0.497012 | + | 0.417923i | ||||
\(326\) | 14.5199 | − | 13.4725i | 0.804181 | − | 0.746171i | ||||
\(327\) | 19.7695 | + | 3.74060i | 1.09326 | + | 0.206856i | ||||
\(328\) | −0.221362 | − | 1.96464i | −0.0122227 | − | 0.108479i | ||||
\(329\) | 2.09533 | − | 1.17401i | 0.115520 | − | 0.0647251i | ||||
\(330\) | −7.16160 | − | 14.6564i | −0.394233 | − | 0.806808i | ||||
\(331\) | −10.5332 | − | 3.24907i | −0.578958 | − | 0.178585i | −0.00857404 | − | 0.999963i | \(-0.502729\pi\) |
−0.570384 | + | 0.821378i | \(0.693205\pi\) | |||||||
\(332\) | −3.79281 | + | 1.65479i | −0.208158 | + | 0.0908182i | ||||
\(333\) | 0.519031 | − | 0.603125i | 0.0284427 | − | 0.0330510i | ||||
\(334\) | −3.15539 | − | 8.03979i | −0.172655 | − | 0.439918i | ||||
\(335\) | 25.6837 | + | 15.9341i | 1.40325 | + | 0.870575i | ||||
\(336\) | −1.57218 | − | 4.16279i | −0.0857696 | − | 0.227099i | ||||
\(337\) | 29.7323 | − | 10.4038i | 1.61962 | − | 0.566730i | 0.640138 | − | 0.768260i | \(-0.278877\pi\) |
0.979482 | + | 0.201531i | \(0.0645916\pi\) | |||||||
\(338\) | −5.69855 | + | 4.90400i | −0.309960 | + | 0.266742i | ||||
\(339\) | 26.8648 | − | 8.28668i | 1.45909 | − | 0.450071i | ||||
\(340\) | 0.0552469 | − | 1.74300i | 0.00299618 | − | 0.0945274i | ||||
\(341\) | 1.60645 | + | 10.6581i | 0.0869940 | + | 0.577168i | ||||
\(342\) | 0.841258 | + | 0.841258i | 0.0454900 | + | 0.0454900i | ||||
\(343\) | 17.7043 | − | 5.43670i | 0.955942 | − | 0.293554i | ||||
\(344\) | 1.42717i | 0.0769480i | ||||||||
\(345\) | −0.858734 | + | 12.4102i | −0.0462327 | + | 0.668142i | ||||
\(346\) | 3.13027 | − | 4.59127i | 0.168284 | − | 0.246828i | ||||
\(347\) | 0.845765 | − | 1.60027i | 0.0454031 | − | 0.0859068i | −0.860370 | − | 0.509670i | \(-0.829767\pi\) |
0.905773 | + | 0.423763i | \(0.139291\pi\) | |||||||
\(348\) | 9.94392 | + | 11.5550i | 0.533050 | + | 0.619415i | ||||
\(349\) | −19.1584 | − | 9.22619i | −1.02552 | − | 0.493867i | −0.156000 | − | 0.987757i | \(-0.549860\pi\) |
−0.869524 | + | 0.493890i | \(0.835574\pi\) | |||||||
\(350\) | −1.00781 | + | 13.1903i | −0.0538697 | + | 0.705052i | ||||
\(351\) | −11.2514 | + | 5.41839i | −0.600555 | + | 0.289212i | ||||
\(352\) | 3.97564 | + | 1.73456i | 0.211903 | + | 0.0924521i | ||||
\(353\) | −7.06949 | − | 6.08379i | −0.376271 | − | 0.323807i | 0.443740 | − | 0.896156i | \(-0.353652\pi\) |
−0.820010 | + | 0.572349i | \(0.806032\pi\) | |||||||
\(354\) | 6.85356 | + | 2.68983i | 0.364263 | + | 0.142963i | ||||
\(355\) | −3.49889 | + | 6.14102i | −0.185702 | + | 0.325931i | ||||
\(356\) | −10.3279 | + | 8.23625i | −0.547379 | + | 0.436520i | ||||
\(357\) | −0.941302 | + | 3.34022i | −0.0498190 | + | 0.176783i | ||||
\(358\) | −9.09799 | + | 1.02510i | −0.480844 | + | 0.0541781i | ||||
\(359\) | 9.93322 | + | 14.5694i | 0.524255 | + | 0.768942i | 0.993464 | − | 0.114146i | \(-0.0364131\pi\) |
−0.469209 | + | 0.883087i | \(0.655461\pi\) | |||||||
\(360\) | 0.370634 | + | 0.0970447i | 0.0195341 | + | 0.00511471i | ||||
\(361\) | −14.6068 | − | 25.2997i | −0.768778 | − | 1.33156i | ||||
\(362\) | −24.0765 | + | 6.45127i | −1.26543 | + | 0.339071i | ||||
\(363\) | −11.1283 | − | 6.99239i | −0.584086 | − | 0.367005i | ||||
\(364\) | 6.02101 | + | 1.45613i | 0.315587 | + | 0.0763218i | ||||
\(365\) | −3.24271 | + | 1.15551i | −0.169731 | + | 0.0604823i | ||||
\(366\) | 11.4608 | + | 10.6341i | 0.599065 | + | 0.555851i | ||||
\(367\) | 2.09717 | + | 2.84157i | 0.109472 | + | 0.148329i | 0.855908 | − | 0.517128i | \(-0.172999\pi\) |
−0.746437 | + | 0.665457i | \(0.768237\pi\) | |||||||
\(368\) | −1.96424 | − | 2.66146i | −0.102393 | − | 0.138738i | ||||
\(369\) | −0.248323 | − | 0.230410i | −0.0129272 | − | 0.0119947i | ||||
\(370\) | −4.45207 | + | 9.38157i | −0.231452 | + | 0.487725i | ||||
\(371\) | 21.2028 | − | 16.4663i | 1.10080 | − | 0.854885i | ||||
\(372\) | 3.53870 | + | 2.22351i | 0.183473 | + | 0.115284i | ||||
\(373\) | 7.37010 | − | 1.97481i | 0.381609 | − | 0.102252i | −0.0629146 | − | 0.998019i | \(-0.520040\pi\) |
0.444524 | + | 0.895767i | \(0.353373\pi\) | |||||||
\(374\) | −1.69140 | − | 2.92959i | −0.0874601 | − | 0.151485i | ||||
\(375\) | 14.4609 | + | 12.0194i | 0.746757 | + | 0.620677i | ||||
\(376\) | 0.511382 | + | 0.750060i | 0.0263725 | + | 0.0386814i | ||||
\(377\) | −21.0888 | + | 2.37614i | −1.08613 | + | 0.122377i | ||||
\(378\) | −12.3905 | − | 6.75421i | −0.637296 | − | 0.347399i | ||||
\(379\) | −26.5277 | + | 21.1551i | −1.36264 | + | 1.08667i | −0.375492 | + | 0.926825i | \(0.622526\pi\) |
−0.987143 | + | 0.159840i | \(0.948902\pi\) | |||||||
\(380\) | −13.4904 | − | 7.68622i | −0.692041 | − | 0.394295i | ||||
\(381\) | 16.9204 | + | 6.64076i | 0.866857 | + | 0.340216i | ||||
\(382\) | −7.37363 | − | 6.34552i | −0.377268 | − | 0.324665i | ||||
\(383\) | −29.9920 | − | 13.0854i | −1.53252 | − | 0.668632i | −0.546838 | − | 0.837239i | \(-0.684169\pi\) |
−0.985683 | + | 0.168607i | \(0.946073\pi\) | |||||||
\(384\) | 1.51531 | − | 0.729733i | 0.0773276 | − | 0.0372390i | ||||
\(385\) | 11.8277 | + | 22.7730i | 0.602797 | + | 1.16062i | ||||
\(386\) | 24.2060 | + | 11.6570i | 1.23205 | + | 0.593326i | ||||
\(387\) | 0.159505 | + | 0.185349i | 0.00810811 | + | 0.00942180i | ||||
\(388\) | −3.35132 | + | 6.34101i | −0.170138 | + | 0.321916i | ||||
\(389\) | −10.0537 | + | 14.7461i | −0.509742 | + | 0.747655i | −0.991705 | − | 0.128537i | \(-0.958972\pi\) |
0.481962 | + | 0.876192i | \(0.339924\pi\) | |||||||
\(390\) | 6.64116 | − | 5.78156i | 0.336288 | − | 0.292761i | ||||
\(391\) | 2.57971i | 0.130461i | ||||||||
\(392\) | 2.63299 | + | 6.48594i | 0.132986 | + | 0.327589i | ||||
\(393\) | −1.39142 | − | 1.39142i | −0.0701877 | − | 0.0701877i | ||||
\(394\) | −1.77097 | − | 11.7496i | −0.0892202 | − | 0.591937i | ||||
\(395\) | −16.5188 | − | 17.6003i | −0.831152 | − | 0.885566i | ||||
\(396\) | 0.710181 | − | 0.219062i | 0.0356879 | − | 0.0110083i | ||||
\(397\) | −11.6488 | + | 10.0246i | −0.584639 | + | 0.503122i | −0.894146 | − | 0.447775i | \(-0.852217\pi\) |
0.309508 | + | 0.950897i | \(0.399836\pi\) | |||||||
\(398\) | 20.7626 | − | 7.26515i | 1.04074 | − | 0.364169i | ||||
\(399\) | 22.3768 | + | 21.3058i | 1.12024 | + | 1.06662i | ||||
\(400\) | −4.99967 | + | 0.0571394i | −0.249984 | + | 0.00285697i | ||||
\(401\) | 3.22899 | + | 8.22734i | 0.161248 | + | 0.410854i | 0.988548 | − | 0.150907i | \(-0.0482194\pi\) |
−0.827300 | + | 0.561761i | \(0.810124\pi\) | |||||||
\(402\) | 14.8289 | − | 17.2315i | 0.739600 | − | 0.859431i | ||||
\(403\) | −5.33258 | + | 2.32658i | −0.265634 | + | 0.115895i | ||||
\(404\) | 10.2569 | + | 3.16384i | 0.510300 | + | 0.157407i | ||||
\(405\) | −16.9898 | + | 8.30178i | −0.844229 | + | 0.412519i | ||||
\(406\) | −16.0837 | − | 17.7884i | −0.798222 | − | 0.882825i | ||||
\(407\) | 2.25538 | + | 20.0171i | 0.111795 | + | 0.992210i | ||||
\(408\) | −1.28879 | − | 0.243852i | −0.0638046 | − | 0.0120725i | ||||
\(409\) | −4.56174 | + | 4.23268i | −0.225564 | + | 0.209293i | −0.784856 | − | 0.619678i | \(-0.787263\pi\) |
0.559293 | + | 0.828970i | \(0.311073\pi\) | |||||||
\(410\) | 3.92030 | + | 2.04336i | 0.193610 | + | 0.100915i | ||||
\(411\) | 13.6660 | + | 7.89009i | 0.674096 | + | 0.389190i | ||||
\(412\) | −5.22157 | + | 8.31008i | −0.257248 | + | 0.409408i | ||||
\(413\) | −10.8819 | − | 3.96584i | −0.535462 | − | 0.195146i | ||||
\(414\) | −0.552551 | − | 0.126116i | −0.0271564 | − | 0.00619827i | ||||
\(415\) | 1.66827 | − | 9.10141i | 0.0818921 | − | 0.446770i | ||||
\(416\) | −0.348958 | + | 2.31518i | −0.0171091 | + | 0.113511i | ||||
\(417\) | −2.30788 | + | 1.70329i | −0.113017 | + | 0.0834105i | ||||
\(418\) | −30.0972 | + | 1.12616i | −1.47210 | + | 0.0550822i | ||||
\(419\) | −5.22550 | + | 22.8944i | −0.255282 | + | 1.11847i | 0.670947 | + | 0.741505i | \(0.265888\pi\) |
−0.926229 | + | 0.376960i | \(0.876969\pi\) | |||||||
\(420\) | 9.68443 | + | 2.28360i | 0.472552 | + | 0.111428i | ||||
\(421\) | 5.55033 | + | 24.3176i | 0.270506 | + | 1.18517i | 0.909417 | + | 0.415885i | \(0.136528\pi\) |
−0.638911 | + | 0.769281i | \(0.720615\pi\) | |||||||
\(422\) | 0.737255 | + | 2.75147i | 0.0358890 | + | 0.133940i | ||||
\(423\) | 0.150243 | + | 0.0402575i | 0.00730506 | + | 0.00195738i | ||||
\(424\) | 6.90155 | + | 7.43810i | 0.335169 | + | 0.361226i | ||||
\(425\) | 3.16372 | + | 2.27955i | 0.153463 | + | 0.110574i | ||||
\(426\) | 4.15628 | + | 3.31452i | 0.201373 | + | 0.160589i | ||||
\(427\) | −18.4337 | − | 16.2816i | −0.892069 | − | 0.787921i | ||||
\(428\) | −0.497743 | + | 4.41759i | −0.0240593 | + | 0.213532i | ||||
\(429\) | 5.03455 | − | 16.3216i | 0.243070 | − | 0.788015i | ||||
\(430\) | −2.64697 | − | 1.78260i | −0.127648 | − | 0.0859648i | ||||
\(431\) | 0.713668 | + | 9.52324i | 0.0343762 | + | 0.458718i | 0.987657 | + | 0.156632i | \(0.0500638\pi\) |
−0.953281 | + | 0.302086i | \(0.902317\pi\) | |||||||
\(432\) | 2.13293 | − | 4.88872i | 0.102620 | − | 0.235209i | ||||
\(433\) | −1.41699 | + | 4.04952i | −0.0680962 | + | 0.194608i | −0.972903 | − | 0.231216i | \(-0.925730\pi\) |
0.904806 | + | 0.425823i | \(0.140015\pi\) | |||||||
\(434\) | −5.65083 | − | 3.36032i | −0.271248 | − | 0.161301i | ||||
\(435\) | −33.8515 | + | 4.01016i | −1.62305 | + | 0.192272i | ||||
\(436\) | 0.894005 | − | 11.9297i | 0.0428151 | − | 0.571327i | ||||
\(437\) | 20.3064 | + | 10.7323i | 0.971389 | + | 0.513394i | ||||
\(438\) | 0.481369 | + | 2.54410i | 0.0230007 | + | 0.121562i | ||||
\(439\) | 38.7743 | − | 5.84429i | 1.85060 | − | 0.278933i | 0.872738 | − | 0.488189i | \(-0.162342\pi\) |
0.977861 | + | 0.209256i | \(0.0671044\pi\) | |||||||
\(440\) | −8.18283 | + | 5.20706i | −0.390101 | + | 0.248237i | ||||
\(441\) | 1.06684 | + | 0.548065i | 0.0508018 | + | 0.0260983i | ||||
\(442\) | 1.29116 | − | 1.29116i | 0.0614140 | − | 0.0614140i | ||||
\(443\) | 17.2999 | + | 12.7679i | 0.821941 | + | 0.606620i | 0.921485 | − | 0.388413i | \(-0.126977\pi\) |
−0.0995443 | + | 0.995033i | \(0.531738\pi\) | |||||||
\(444\) | 6.45343 | + | 4.39987i | 0.306266 | + | 0.208809i | ||||
\(445\) | −2.37567 | − | 29.4426i | −0.112618 | − | 1.39571i | ||||
\(446\) | 21.7423 | + | 1.62936i | 1.02953 | + | 0.0771525i | ||||
\(447\) | −5.78467 | − | 16.5316i | −0.273605 | − | 0.781919i | ||||
\(448\) | −2.35488 | + | 1.20603i | −0.111258 | + | 0.0569797i | ||||
\(449\) | 5.64172 | + | 11.7151i | 0.266249 | + | 0.552872i | 0.990637 | − | 0.136520i | \(-0.0435919\pi\) |
−0.724388 | + | 0.689392i | \(0.757878\pi\) | |||||||
\(450\) | −0.642927 | + | 0.566200i | −0.0303079 | + | 0.0266909i | ||||
\(451\) | 8.55169 | − | 0.640861i | 0.402683 | − | 0.0301769i | ||||
\(452\) | −6.68454 | − | 15.3211i | −0.314414 | − | 0.720646i | ||||
\(453\) | 30.8928 | − | 16.3273i | 1.45147 | − | 0.767126i | ||||
\(454\) | −15.0902 | − | 18.9225i | −0.708219 | − | 0.888079i | ||||
\(455\) | −10.2212 | + | 9.34837i | −0.479177 | + | 0.438258i | ||||
\(456\) | −7.28122 | + | 9.13037i | −0.340975 | + | 0.427569i | ||||
\(457\) | −2.90045 | + | 15.3292i | −0.135677 | + | 0.717072i | 0.846978 | + | 0.531628i | \(0.178420\pi\) |
−0.982655 | + | 0.185443i | \(0.940628\pi\) | |||||||
\(458\) | −0.368814 | + | 9.85677i | −0.0172336 | + | 0.460577i | ||||
\(459\) | −3.60242 | + | 2.07986i | −0.168146 | + | 0.0970794i | ||||
\(460\) | 7.38961 | − | 0.318793i | 0.344542 | − | 0.0148638i | ||||
\(461\) | −5.94486 | + | 1.35688i | −0.276880 | + | 0.0631960i | −0.358706 | − | 0.933451i | \(-0.616782\pi\) |
0.0818262 | + | 0.996647i | \(0.473925\pi\) | |||||||
\(462\) | 18.2987 | − | 6.13952i | 0.851334 | − | 0.285636i | ||||
\(463\) | −6.93728 | + | 4.35898i | −0.322403 | + | 0.202579i | −0.683503 | − | 0.729948i | \(-0.739544\pi\) |
0.361100 | + | 0.932527i | \(0.382401\pi\) | |||||||
\(464\) | 6.16520 | − | 6.64451i | 0.286212 | − | 0.308464i | ||||
\(465\) | −8.54393 | + | 3.78594i | −0.396215 | + | 0.175569i | ||||
\(466\) | −12.2563 | − | 1.84735i | −0.567764 | − | 0.0855767i | ||||
\(467\) | −0.672863 | − | 17.9826i | −0.0311364 | − | 0.832137i | −0.924132 | − | 0.382073i | \(-0.875210\pi\) |
0.892996 | − | 0.450065i | \(-0.148599\pi\) | |||||||
\(468\) | 0.213433 | + | 0.339676i | 0.00986593 | + | 0.0157015i | ||||
\(469\) | −22.6561 | + | 27.6707i | −1.04616 | + | 1.27772i | ||||
\(470\) | −2.02987 | + | 0.0115989i | −0.0936310 | + | 0.000535019i | ||||
\(471\) | −13.8834 | + | 24.0467i | −0.639712 | + | 1.10801i | ||||
\(472\) | 1.13300 | − | 4.22843i | 0.0521507 | − | 0.194629i | ||||
\(473\) | −6.18612 | − | 0.231468i | −0.284438 | − | 0.0106429i | ||||
\(474\) | −15.0007 | + | 10.2273i | −0.689005 | + | 0.469755i | ||||
\(475\) | 31.1056 | − | 15.4201i | 1.42722 | − | 0.707521i | ||||
\(476\) | 2.03620 | + | 0.333795i | 0.0933291 | + | 0.0152995i | ||||
\(477\) | 1.72762 | + | 0.194656i | 0.0791022 | + | 0.00891268i | ||||
\(478\) | −8.13267 | − | 15.3878i | −0.371980 | − | 0.703820i | ||||
\(479\) | 12.3804 | − | 31.5446i | 0.565673 | − | 1.44131i | −0.306385 | − | 0.951908i | \(-0.599119\pi\) |
0.872058 | − | 0.489403i | \(-0.162785\pi\) | |||||||
\(480\) | −0.539254 | + | 3.72190i | −0.0246134 | + | 0.169880i | ||||
\(481\) | −10.1216 | + | 3.97243i | −0.461505 | + | 0.181127i | ||||
\(482\) | 5.05671 | + | 1.76942i | 0.230327 | + | 0.0805948i | ||||
\(483\) | −14.4260 | − | 2.92257i | −0.656405 | − | 0.132981i | ||||
\(484\) | −3.39056 | + | 7.04056i | −0.154116 | + | 0.320026i | ||||
\(485\) | −7.57468 | − | 14.1359i | −0.343948 | − | 0.641877i | ||||
\(486\) | −0.524193 | − | 1.69939i | −0.0237779 | − | 0.0770859i | ||||
\(487\) | 19.9253 | − | 3.77007i | 0.902902 | − | 0.170838i | 0.286325 | − | 0.958133i | \(-0.407566\pi\) |
0.616577 | + | 0.787294i | \(0.288519\pi\) | |||||||
\(488\) | 5.52007 | − | 7.47943i | 0.249882 | − | 0.338578i | ||||
\(489\) | 33.3133 | 1.50648 | ||||||||
\(490\) | −15.3181 | − | 3.21784i | −0.692003 | − | 0.145367i | ||||
\(491\) | −12.7432 | −0.575092 | −0.287546 | − | 0.957767i | \(-0.592839\pi\) | ||||
−0.287546 | + | 0.957767i | \(0.592839\pi\) | |||||||
\(492\) | 1.97455 | − | 2.67542i | 0.0890195 | − | 0.120617i | ||||
\(493\) | −6.94577 | + | 1.31421i | −0.312822 | + | 0.0591891i | ||||
\(494\) | −4.79192 | − | 15.5350i | −0.215599 | − | 0.698954i | ||||
\(495\) | −0.480755 | + | 1.59079i | −0.0216083 | + | 0.0715005i | ||||
\(496\) | 1.07816 | − | 2.23883i | 0.0484110 | − | 0.100526i | ||||
\(497\) | −6.66413 | − | 5.05227i | −0.298927 | − | 0.226625i | ||||
\(498\) | −6.56913 | − | 2.29864i | −0.294370 | − | 0.103004i | ||||
\(499\) | −3.24723 | + | 1.27445i | −0.145366 | + | 0.0570520i | −0.436909 | − | 0.899506i | \(-0.643927\pi\) |
0.291543 | + | 0.956558i | \(0.405831\pi\) | |||||||
\(500\) | 6.13884 | − | 9.34423i | 0.274537 | − | 0.417887i | ||||
\(501\) | 5.30692 | − | 13.5218i | 0.237096 | − | 0.604110i | ||||
\(502\) | 5.02026 | + | 9.49880i | 0.224065 | + | 0.423952i | ||||
\(503\) | −30.2715 | − | 3.41078i | −1.34974 | − | 0.152079i | −0.592688 | − | 0.805432i | \(-0.701933\pi\) |
−0.757053 | + | 0.653353i | \(0.773362\pi\) | |||||||
\(504\) | −0.171041 | + | 0.419818i | −0.00761879 | + | 0.0187002i | ||||
\(505\) | −18.6793 | + | 15.0716i | −0.831217 | + | 0.670679i | ||||
\(506\) | 11.8547 | − | 8.08242i | 0.527007 | − | 0.359307i | ||||
\(507\) | −12.6357 | − | 0.472793i | −0.561169 | − | 0.0209975i | ||||
\(508\) | 2.79721 | − | 10.4393i | 0.124106 | − | 0.463170i | ||||
\(509\) | −10.9865 | + | 19.0292i | −0.486969 | + | 0.843455i | −0.999888 | − | 0.0149821i | \(-0.995231\pi\) |
0.512919 | + | 0.858437i | \(0.328564\pi\) | |||||||
\(510\) | 2.06203 | − | 2.08573i | 0.0913081 | − | 0.0923576i | ||||
\(511\) | −0.855119 | − | 3.98238i | −0.0378282 | − | 0.176170i | ||||
\(512\) | −0.532032 | − | 0.846724i | −0.0235127 | − | 0.0374203i | ||||
\(513\) | 1.38480 | + | 37.0096i | 0.0611404 | + | 1.63401i | ||||
\(514\) | 3.48667 | + | 0.525530i | 0.153790 | + | 0.0231802i | ||||
\(515\) | −8.89068 | − | 20.0641i | −0.391770 | − | 0.884129i | ||||
\(516\) | −1.63262 | + | 1.75955i | −0.0718723 | + | 0.0774599i | ||||
\(517\) | −3.33410 | + | 2.09495i | −0.146633 | + | 0.0921359i | ||||
\(518\) | −10.3185 | − | 6.67055i | −0.453371 | − | 0.293087i | ||||
\(519\) | 9.11150 | − | 2.07964i | 0.399950 | − | 0.0912861i | ||||
\(520\) | −3.85809 | − | 3.53898i | −0.169189 | − | 0.155194i | ||||
\(521\) | 16.3491 | − | 9.43913i | 0.716265 | − | 0.413536i | −0.0971114 | − | 0.995274i | \(-0.530960\pi\) |
0.813376 | + | 0.581738i | \(0.197627\pi\) | |||||||
\(522\) | 0.0580707 | − | 1.55197i | 0.00254169 | − | 0.0679280i | ||||
\(523\) | 1.96773 | − | 10.3997i | 0.0860428 | − | 0.454747i | −0.912875 | − | 0.408239i | \(-0.866143\pi\) |
0.998918 | − | 0.0465082i | \(-0.0148094\pi\) | |||||||
\(524\) | −0.729476 | + | 0.914734i | −0.0318673 | + | 0.0399603i | ||||
\(525\) | −16.3317 | + | 15.1093i | −0.712772 | + | 0.659426i | ||||
\(526\) | −16.4674 | − | 20.6495i | −0.718013 | − | 0.900360i | ||||
\(527\) | −1.71337 | + | 0.905541i | −0.0746355 | + | 0.0394460i | ||||
\(528\) | 2.91728 | + | 6.68649i | 0.126958 | + | 0.290992i | ||||
\(529\) | 12.0247 | − | 0.901126i | 0.522812 | − | 0.0391794i | ||||
\(530\) | −22.4157 | + | 3.50974i | −0.973678 | + | 0.152453i | ||||
\(531\) | −0.325438 | − | 0.675779i | −0.0141228 | − | 0.0293263i | ||||
\(532\) | 11.0986 | − | 14.6395i | 0.481187 | − | 0.634703i | ||||
\(533\) | 1.52886 | + | 4.36922i | 0.0662221 | + | 0.189252i | ||||
\(534\) | −22.1551 | − | 1.66030i | −0.958746 | − | 0.0718481i | ||||
\(535\) | −7.57157 | − | 6.44093i | −0.327348 | − | 0.278466i | ||||
\(536\) | −11.1683 | − | 7.61440i | −0.482396 | − | 0.328892i | ||||
\(537\) | −12.3895 | − | 9.14387i | −0.534647 | − | 0.394587i | ||||
\(538\) | 19.0733 | − | 19.0733i | 0.822308 | − | 0.822308i | ||||
\(539\) | −28.5405 | + | 10.3608i | −1.22933 | + | 0.446272i | ||||
\(540\) | 6.40296 | + | 10.0622i | 0.275539 | + | 0.433006i | ||||
\(541\) | −27.1669 | + | 4.09475i | −1.16800 | + | 0.176047i | −0.704271 | − | 0.709931i | \(-0.748726\pi\) |
−0.463726 | + | 0.885979i | \(0.653488\pi\) | |||||||
\(542\) | −4.36808 | − | 23.0859i | −0.187625 | − | 0.991622i | ||||
\(543\) | −37.0636 | − | 19.5887i | −1.59055 | − | 0.840632i | ||||
\(544\) | −0.0582808 | + | 0.777703i | −0.00249877 | + | 0.0333438i | ||||
\(545\) | 21.0092 | + | 16.5588i | 0.899936 | + | 0.709301i | ||||
\(546\) | 5.75751 | + | 8.68303i | 0.246399 | + | 0.371599i | ||||
\(547\) | −5.34813 | + | 15.2841i | −0.228670 | + | 0.653500i | 0.771188 | + | 0.636608i | \(0.219663\pi\) |
−0.999857 | + | 0.0168924i | \(0.994623\pi\) | |||||||
\(548\) | 3.75201 | − | 8.59971i | 0.160278 | − | 0.367361i | ||||
\(549\) | −0.119027 | − | 1.58830i | −0.00507994 | − | 0.0677871i | ||||
\(550\) | 0.563208 | − | 21.6805i | 0.0240153 | − | 0.924459i | ||||
\(551\) | −18.5513 | + | 60.1418i | −0.790312 | + | 2.56213i | ||||
\(552\) | 0.622889 | − | 5.52830i | 0.0265119 | − | 0.235300i | ||||
\(553\) | 23.1963 | − | 16.6622i | 0.986406 | − | 0.708551i | ||||
\(554\) | 18.4686 | + | 14.7282i | 0.784654 | + | 0.625741i | ||||
\(555\) | −16.2210 | + | 6.47349i | −0.688544 | + | 0.274784i | ||||
\(556\) | 1.16001 | + | 1.25020i | 0.0491955 | + | 0.0530201i | ||||
\(557\) | 32.7654 | + | 8.77945i | 1.38831 | + | 0.371997i | 0.874134 | − | 0.485686i | \(-0.161430\pi\) |
0.514179 | + | 0.857683i | \(0.328097\pi\) | |||||||
\(558\) | −0.110196 | − | 0.411259i | −0.00466499 | − | 0.0174100i | ||||
\(559\) | −0.743551 | − | 3.25771i | −0.0314489 | − | 0.137787i | ||||
\(560\) | 0.704533 | − | 5.87398i | 0.0297720 | − | 0.248221i | ||||
\(561\) | 1.26601 | − | 5.54675i | 0.0534510 | − | 0.234184i | ||||
\(562\) | −6.44749 | + | 0.241248i | −0.271971 | + | 0.0101764i | ||||
\(563\) | −22.2541 | + | 16.4243i | −0.937898 | + | 0.692200i | −0.951481 | − | 0.307708i | \(-0.900438\pi\) |
0.0135830 | + | 0.999908i | \(0.495676\pi\) | |||||||
\(564\) | −0.227557 | + | 1.50974i | −0.00958188 | + | 0.0635716i | ||||
\(565\) | 36.7653 | + | 6.73900i | 1.54673 | + | 0.283512i | ||||
\(566\) | 20.2013 | + | 4.61081i | 0.849123 | + | 0.193807i | ||||
\(567\) | −7.11697 | − | 21.2120i | −0.298885 | − | 0.890821i | ||||
\(568\) | 1.68166 | − | 2.67635i | 0.0705611 | − | 0.112297i | ||||
\(569\) | 37.7957 | + | 21.8214i | 1.58448 | + | 0.914799i | 0.994194 | + | 0.107605i | \(0.0343180\pi\) |
0.590285 | + | 0.807195i | \(0.299015\pi\) | |||||||
\(570\) | −7.83946 | − | 24.9087i | −0.328359 | − | 1.04331i | ||||
\(571\) | −6.23958 | + | 5.78948i | −0.261118 | + | 0.242282i | −0.799857 | − | 0.600190i | \(-0.795091\pi\) |
0.538739 | + | 0.842473i | \(0.318901\pi\) | |||||||
\(572\) | −9.97863 | − | 1.88806i | −0.417228 | − | 0.0789437i | ||||
\(573\) | −1.83189 | − | 16.2585i | −0.0765282 | − | 0.679207i | ||||
\(574\) | −3.00208 | + | 4.28360i | −0.125304 | + | 0.178794i | ||||
\(575\) | −8.63869 | + | 14.1037i | −0.360258 | + | 0.588163i | ||||
\(576\) | −0.163728 | − | 0.0505034i | −0.00682201 | − | 0.00210431i | ||||
\(577\) | −10.2308 | + | 4.46364i | −0.425913 | + | 0.185824i | −0.601905 | − | 0.798568i | \(-0.705591\pi\) |
0.175992 | + | 0.984392i | \(0.443687\pi\) | |||||||
\(578\) | −10.6922 | + | 12.4245i | −0.444735 | + | 0.516791i | ||||
\(579\) | 16.5083 | + | 42.0624i | 0.686061 | + | 1.74806i | ||||
\(580\) | 4.62291 | + | 19.7339i | 0.191956 | + | 0.819404i | ||||
\(581\) | 10.4195 | + | 3.36162i | 0.432273 | + | 0.139463i | ||||
\(582\) | −11.3857 | + | 3.98401i | −0.471951 | + | 0.165143i | ||||
\(583\) | −33.3600 | + | 28.7086i | −1.38163 | + | 1.18899i | ||||
\(584\) | 1.47111 | − | 0.453777i | 0.0608750 | − | 0.0187774i | ||||
\(585\) | −0.896582 | − | 0.0284185i | −0.0370691 | − | 0.00117496i | ||||
\(586\) | −0.566284 | − | 3.75705i | −0.0233930 | − | 0.155202i | ||||
\(587\) | 21.3697 | + | 21.3697i | 0.882022 | + | 0.882022i | 0.993740 | − | 0.111718i | \(-0.0356352\pi\) |
−0.111718 | + | 0.993740i | \(0.535635\pi\) | |||||||
\(588\) | −4.17344 | + | 11.0085i | −0.172110 | + | 0.453982i | ||||
\(589\) | 17.2543i | 0.710949i | ||||||||
\(590\) | 6.42727 | + | 7.38287i | 0.264606 | + | 0.303948i | ||||
\(591\) | 11.2576 | − | 16.5119i | 0.463077 | − | 0.679210i | ||||
\(592\) | 2.17001 | − | 4.10585i | 0.0891867 | − | 0.168750i | ||||
\(593\) | −12.7276 | − | 14.7898i | −0.522661 | − | 0.607343i | 0.433151 | − | 0.901321i | \(-0.357402\pi\) |
−0.955812 | + | 0.293978i | \(0.905021\pi\) | |||||||
\(594\) | 20.8444 | + | 10.0381i | 0.855254 | + | 0.411869i | ||||
\(595\) | −3.16239 | + | 3.35960i | −0.129645 | + | 0.137730i | ||||
\(596\) | −9.38246 | + | 4.51835i | −0.384320 | + | 0.185079i | ||||
\(597\) | 33.9091 | + | 14.7944i | 1.38781 | + | 0.605494i | ||||
\(598\) | 5.87025 | + | 5.05176i | 0.240052 | + | 0.206582i | ||||
\(599\) | 12.5600 | + | 4.92945i | 0.513189 | + | 0.201412i | 0.607781 | − | 0.794104i | \(-0.292060\pi\) |
−0.0945927 | + | 0.995516i | \(0.530155\pi\) | |||||||
\(600\) | −6.22942 | − | 5.64896i | −0.254315 | − | 0.230618i | ||||
\(601\) | 7.04649 | − | 5.61939i | 0.287432 | − | 0.229220i | −0.469149 | − | 0.883119i | \(-0.655439\pi\) |
0.756582 | + | 0.653899i | \(0.226868\pi\) | |||||||
\(602\) | 2.49968 | − | 2.83009i | 0.101879 | − | 0.115346i | ||||
\(603\) | −2.30145 | + | 0.259311i | −0.0937221 | + | 0.0105599i | ||||
\(604\) | −11.7034 | − | 17.1658i | −0.476207 | − | 0.698467i | ||||
\(605\) | −8.82313 | − | 15.0824i | −0.358711 | − | 0.613188i | ||||
\(606\) | 9.02636 | + | 15.6341i | 0.366671 | + | 0.635093i | ||||
\(607\) | 15.6856 | − | 4.20293i | 0.636657 | − | 0.170592i | 0.0739684 | − | 0.997261i | \(-0.476434\pi\) |
0.562689 | + | 0.826669i | \(0.309767\pi\) | |||||||
\(608\) | 5.87931 | + | 3.69422i | 0.238438 | + | 0.149820i | ||||
\(609\) | 0.519705 | − | 40.3303i | 0.0210595 | − | 1.63427i | ||||
\(610\) | 6.97724 | + | 19.5802i | 0.282500 | + | 0.792778i | ||||
\(611\) | −1.55808 | − | 1.44568i | −0.0630330 | − | 0.0584861i | ||||
\(612\) | 0.0793496 | + | 0.107515i | 0.00320752 | + | 0.00434603i | ||||
\(613\) | 2.96238 | + | 4.01388i | 0.119649 | + | 0.162119i | 0.860329 | − | 0.509739i | \(-0.170258\pi\) |
−0.740680 | + | 0.671858i | \(0.765496\pi\) | |||||||
\(614\) | −11.7912 | − | 10.9406i | −0.475854 | − | 0.441528i | ||||
\(615\) | 2.49578 | + | 7.00390i | 0.100640 | + | 0.282424i | ||||
\(616\) | −4.84566 | − | 10.4029i | −0.195237 | − | 0.419145i | ||||
\(617\) | −4.54147 | − | 2.85360i | −0.182833 | − | 0.114881i | 0.437506 | − | 0.899216i | \(-0.355862\pi\) |
−0.620339 | + | 0.784334i | \(0.713005\pi\) | |||||||
\(618\) | −15.9440 | + | 4.27218i | −0.641362 | + | 0.171852i | ||||
\(619\) | 0.527887 | + | 0.914328i | 0.0212176 | + | 0.0367499i | 0.876439 | − | 0.481512i | \(-0.159912\pi\) |
−0.855222 | + | 0.518262i | \(0.826579\pi\) | |||||||
\(620\) | 2.80567 | + | 4.79606i | 0.112678 | + | 0.192615i | ||||
\(621\) | −9.93868 | − | 14.5774i | −0.398826 | − | 0.584970i | ||||
\(622\) | −17.2554 | + | 1.94422i | −0.691880 | + | 0.0779561i | ||||
\(623\) | 34.9060 | + | 1.75674i | 1.39848 | + | 0.0703824i | ||||
\(624\) | −3.07870 | + | 2.45518i | −0.123247 | + | 0.0982858i | ||||
\(625\) | 9.66300 | + | 23.0570i | 0.386520 | + | 0.922281i | ||||
\(626\) | −26.1531 | − | 10.2643i | −1.04529 | − | 0.410246i | ||||
\(627\) | −38.3949 | − | 33.0415i | −1.53334 | − | 1.31955i | ||||
\(628\) | 15.1320 | + | 6.60202i | 0.603832 | + | 0.263449i | ||||
\(629\) | −3.26313 | + | 1.57144i | −0.130109 | + | 0.0626574i | ||||
\(630\) | −0.564996 | − | 0.841601i | −0.0225100 | − | 0.0335302i | ||||
\(631\) | −35.3593 | − | 17.0282i | −1.40763 | − | 0.677880i | −0.432939 | − | 0.901423i | \(-0.642523\pi\) |
−0.974694 | + | 0.223543i | \(0.928238\pi\) | |||||||
\(632\) | 7.04133 | + | 8.18217i | 0.280089 | + | 0.325469i | ||||
\(633\) | −2.23861 | + | 4.23565i | −0.0889767 | + | 0.168352i | ||||
\(634\) | −11.2808 | + | 16.5458i | −0.448016 | + | 0.657119i | ||||
\(635\) | 15.8679 | + | 18.2272i | 0.629699 | + | 0.723322i | ||||
\(636\) | 17.0655i | 0.676689i | ||||||||
\(637\) | −9.38929 | − | 13.4332i | −0.372017 | − | 0.532244i | ||||
\(638\) | 27.8009 | + | 27.8009i | 1.10065 | + | 1.10065i | ||||
\(639\) | −0.0807180 | − | 0.535529i | −0.00319316 | − | 0.0211852i | ||||
\(640\) | 2.23495 | + | 0.0708398i | 0.0883440 | + | 0.00280019i | ||||
\(641\) | 26.9123 | − | 8.30135i | 1.06297 | − | 0.327884i | 0.286530 | − | 0.958071i | \(-0.407498\pi\) |
0.776443 | + | 0.630188i | \(0.217022\pi\) | |||||||
\(642\) | −5.66719 | + | 4.87702i | −0.223666 | + | 0.192480i | ||||
\(643\) | −3.11842 | + | 1.09118i | −0.122978 | + | 0.0430320i | −0.391067 | − | 0.920362i | \(-0.627894\pi\) |
0.268088 | + | 0.963394i | \(0.413608\pi\) | |||||||
\(644\) | −0.766407 | + | 8.71802i | −0.0302007 | + | 0.343538i | ||||
\(645\) | −1.22421 | − | 5.22577i | −0.0482031 | − | 0.205765i | ||||
\(646\) | −1.97840 | − | 5.04087i | −0.0778389 | − | 0.198330i | ||||
\(647\) | 2.56190 | − | 2.97698i | 0.100719 | − | 0.117037i | −0.705350 | − | 0.708859i | \(-0.749210\pi\) |
0.806069 | + | 0.591822i | \(0.201591\pi\) | |||||||
\(648\) | 7.75102 | − | 3.38174i | 0.304489 | − | 0.132847i | ||||
\(649\) | 18.1445 | + | 5.59683i | 0.712233 | + | 0.219695i | ||||
\(650\) | 11.3826 | − | 2.73524i | 0.446464 | − | 0.107285i | ||||
\(651\) | −3.12279 | − | 10.6072i | −0.122392 | − | 0.415730i | ||||
\(652\) | −2.21773 | − | 19.6829i | −0.0868529 | − | 0.770841i | ||||
\(653\) | 24.2979 | + | 4.59742i | 0.950852 | + | 0.179911i | 0.638125 | − | 0.769932i | \(-0.279710\pi\) |
0.312726 | + | 0.949843i | \(0.398758\pi\) | |||||||
\(654\) | 14.7492 | − | 13.6853i | 0.576741 | − | 0.535137i | ||||
\(655\) | −0.785403 | − | 2.49550i | −0.0306882 | − | 0.0975072i | ||||
\(656\) | −1.71219 | − | 0.988536i | −0.0668500 | − | 0.0385958i | ||||
\(657\) | 0.140339 | − | 0.223348i | 0.00547515 | − | 0.00871365i | ||||
\(658\) | 0.299649 | − | 2.38305i | 0.0116815 | − | 0.0929010i | ||||
\(659\) | −6.59855 | − | 1.50608i | −0.257043 | − | 0.0586684i | 0.0920575 | − | 0.995754i | \(-0.470656\pi\) |
−0.349100 | + | 0.937085i | \(0.613513\pi\) | |||||||
\(660\) | −16.0452 | − | 2.94105i | −0.624559 | − | 0.114480i | ||||
\(661\) | 3.04800 | − | 20.2221i | 0.118553 | − | 0.786550i | −0.847984 | − | 0.530022i | \(-0.822184\pi\) |
0.966537 | − | 0.256527i | \(-0.0825784\pi\) | |||||||
\(662\) | −8.86902 | + | 6.54564i | −0.344704 | + | 0.254403i | ||||
\(663\) | 3.06888 | − | 0.114829i | 0.119185 | − | 0.00445960i | ||||
\(664\) | −0.920810 | + | 4.03433i | −0.0357344 | + | 0.156563i | ||||
\(665\) | 13.2891 | + | 38.8700i | 0.515329 | + | 1.50731i | ||||
\(666\) | −0.177062 | − | 0.775758i | −0.00686101 | − | 0.0300600i | ||||
\(667\) | −7.76006 | − | 28.9609i | −0.300471 | − | 1.12137i | ||||
\(668\) | −8.34253 | − | 2.23537i | −0.322782 | − | 0.0864892i | ||||
\(669\) | 24.9420 | + | 26.8811i | 0.964314 | + | 1.03928i | ||||
\(670\) | 28.0720 | − | 11.2030i | 1.08452 | − | 0.432810i | ||||
\(671\) | 31.5245 | + | 25.1400i | 1.21699 | + | 0.970517i | ||||
\(672\) | −4.28297 | − | 1.20698i | −0.165219 | − | 0.0465601i | ||||
\(673\) | −2.23956 | + | 19.8767i | −0.0863288 | + | 0.766189i | 0.873734 | + | 0.486404i | \(0.161692\pi\) |
−0.960063 | + | 0.279785i | \(0.909737\pi\) | |||||||
\(674\) | 9.28477 | − | 30.1005i | 0.357636 | − | 1.15943i | ||||
\(675\) | −26.6598 | − | 0.692558i | −1.02614 | − | 0.0266566i | ||||
\(676\) | 0.561832 | + | 7.49713i | 0.0216089 | + | 0.288351i | ||||
\(677\) | −5.00154 | + | 11.4637i | −0.192225 | + | 0.440584i | −0.985808 | − | 0.167878i | \(-0.946309\pi\) |
0.793583 | + | 0.608462i | \(0.208213\pi\) | |||||||
\(678\) | 9.28540 | − | 26.5361i | 0.356603 | − | 1.01911i | ||||
\(679\) | 17.7519 | − | 6.70443i | 0.681254 | − | 0.257292i | ||||
\(680\) | −1.36961 | − | 1.07948i | −0.0525220 | − | 0.0413961i | ||||
\(681\) | 3.04195 | − | 40.5920i | 0.116568 | − | 1.55549i | ||||
\(682\) | 9.52941 | + | 5.03644i | 0.364900 | + | 0.192855i | ||||
\(683\) | −3.46912 | − | 18.3347i | −0.132742 | − | 0.701559i | −0.984189 | − | 0.177119i | \(-0.943322\pi\) |
0.851447 | − | 0.524440i | \(-0.175725\pi\) | |||||||
\(684\) | 1.17643 | − | 0.177318i | 0.0449819 | − | 0.00677994i | ||||
\(685\) | 11.2634 | + | 17.7003i | 0.430352 | + | 0.676292i | ||||
\(686\) | 6.13882 | − | 17.4733i | 0.234381 | − | 0.667132i | ||||
\(687\) | −11.7304 | + | 11.7304i | −0.447544 | + | 0.447544i | ||||
\(688\) | 1.14830 | + | 0.847484i | 0.0437785 | + | 0.0323100i | ||||
\(689\) | −19.6289 | − | 13.3828i | −0.747802 | − | 0.509843i | ||||
\(690\) | 9.47528 | + | 8.06036i | 0.360718 | + | 0.306853i | ||||
\(691\) | −43.6167 | − | 3.26862i | −1.65926 | − | 0.124344i | −0.788166 | − | 0.615463i | \(-0.788969\pi\) |
−0.871093 | + | 0.491118i | \(0.836588\pi\) | |||||||
\(692\) | −1.83530 | − | 5.24500i | −0.0697678 | − | 0.199385i | ||||
\(693\) | −1.79197 | − | 0.809473i | −0.0680714 | − | 0.0307493i | ||||
\(694\) | −0.785338 | − | 1.63077i | −0.0298110 | − | 0.0619032i | ||||
\(695\) | −3.76764 | + | 0.589917i | −0.142915 | + | 0.0223768i | ||||
\(696\) | 15.2021 | − | 1.13924i | 0.576233 | − | 0.0431827i | ||||
\(697\) | 0.616588 | + | 1.41324i | 0.0233549 | + | 0.0535301i | ||||
\(698\) | −18.8000 | + | 9.93609i | −0.711591 | + | 0.376087i | ||||
\(699\) | −12.9975 | − | 16.2983i | −0.491609 | − | 0.616458i | ||||
\(700\) | 10.0144 | + | 8.64356i | 0.378510 | + | 0.326696i | ||||
\(701\) | 27.7919 | − | 34.8500i | 1.04969 | − | 1.31627i | 0.102798 | − | 0.994702i | \(-0.467220\pi\) |
0.946888 | − | 0.321563i | \(-0.104208\pi\) | |||||||
\(702\) | −2.32168 | + | 12.2704i | −0.0876263 | + | 0.463116i | ||||
\(703\) | −1.20573 | + | 32.2237i | −0.0454748 | + | 1.21534i | ||||
\(704\) | 3.75644 | − | 2.16878i | 0.141576 | − | 0.0817390i | ||||
\(705\) | −2.51588 | − | 2.30778i | −0.0947535 | − | 0.0869162i | ||||
\(706\) | −9.09300 | + | 2.07542i | −0.342220 | + | 0.0781094i | ||||
\(707\) | −14.7980 | − | 24.2387i | −0.556537 | − | 0.911591i | ||||
\(708\) | 6.23401 | − | 3.91709i | 0.234289 | − | 0.147213i | ||||
\(709\) | 27.3832 | − | 29.5121i | 1.02840 | − | 1.10835i | 0.0343488 | − | 0.999410i | \(-0.489064\pi\) |
0.994048 | − | 0.108939i | \(-0.0347453\pi\) | |||||||
\(710\) | 2.86334 | + | 6.46186i | 0.107459 | + | 0.242509i | ||||
\(711\) | 1.82893 | + | 0.275667i | 0.0685902 | + | 0.0103383i | ||||
\(712\) | 0.493935 | + | 13.2007i | 0.0185110 | + | 0.494716i | ||||
\(713\) | −4.37310 | − | 6.95975i | −0.163774 | − | 0.260645i | ||||
\(714\) | 2.12857 | + | 2.74086i | 0.0796597 | + | 0.102574i | ||||
\(715\) | 15.9655 | − | 16.1490i | 0.597077 | − | 0.603940i | ||||
\(716\) | −4.57778 | + | 7.92895i | −0.171080 | + | 0.296319i | ||||
\(717\) | 7.57623 | − | 28.2749i | 0.282939 | − | 1.05594i | ||||
\(718\) | 17.6210 | + | 0.659332i | 0.657611 | + | 0.0246061i | ||||
\(719\) | −21.7191 | + | 14.8079i | −0.809988 | + | 0.552240i | −0.896000 | − | 0.444054i | \(-0.853540\pi\) |
0.0860125 | + | 0.996294i | \(0.472588\pi\) | |||||||
\(720\) | 0.298172 | − | 0.240584i | 0.0111122 | − | 0.00896605i | ||||
\(721\) | 24.9094 | − | 7.33339i | 0.927674 | − | 0.273110i | ||||
\(722\) | −29.0299 | − | 3.27088i | −1.08038 | − | 0.121730i | ||||
\(723\) | 4.21024 | + | 7.96615i | 0.156580 | + | 0.296264i | ||||
\(724\) | −9.10641 | + | 23.2028i | −0.338437 | + | 0.862324i | ||||
\(725\) | −42.3745 | − | 16.0744i | −1.57375 | − | 0.596987i | ||||
\(726\) | −12.2343 | + | 4.80160i | −0.454057 | + | 0.178204i | ||||
\(727\) | 34.3987 | + | 12.0366i | 1.27578 | + | 0.446413i | 0.881328 | − | 0.472505i | \(-0.156650\pi\) |
0.394448 | + | 0.918918i | \(0.370936\pi\) | |||||||
\(728\) | 4.74700 | − | 3.97982i | 0.175935 | − | 0.147502i | ||||
\(729\) | 12.3053 | − | 25.5523i | 0.455753 | − | 0.946381i | ||||
\(730\) | −0.995864 | + | 3.29525i | −0.0368586 | + | 0.121963i | ||||
\(731\) | −0.328071 | − | 1.06358i | −0.0121342 | − | 0.0393380i | ||||
\(732\) | 15.3618 | − | 2.90661i | 0.567788 | − | 0.107431i | ||||
\(733\) | 19.7406 | − | 26.7476i | 0.729136 | − | 0.987944i | −0.270546 | − | 0.962707i | \(-0.587204\pi\) |
0.999681 | − | 0.0252369i | \(-0.00803402\pi\) | |||||||
\(734\) | 3.53167 | 0.130356 | ||||||||
\(735\) | −15.2045 | − | 21.4905i | −0.560828 | − | 0.792690i | ||||
\(736\) | −3.30781 | −0.121927 | ||||||||
\(737\) | 34.8162 | − | 47.1742i | 1.28247 | − | 1.73769i | ||||
\(738\) | −0.332846 | + | 0.0629779i | −0.0122522 | + | 0.00231825i | ||||
\(739\) | −4.59539 | − | 14.8979i | −0.169044 | − | 0.548028i | 0.830921 | − | 0.556391i | \(-0.187814\pi\) |
−0.999965 | + | 0.00836278i | \(0.997338\pi\) | |||||||
\(740\) | 4.90466 | + | 9.15309i | 0.180299 | + | 0.336474i | ||||
\(741\) | 11.8635 | − | 24.6348i | 0.435816 | − | 0.904980i | ||||
\(742\) | −0.658043 | − | 26.8377i | −0.0241575 | − | 0.985245i | ||||
\(743\) | −8.47379 | − | 2.96511i | −0.310873 | − | 0.108779i | 0.170333 | − | 0.985386i | \(-0.445516\pi\) |
−0.481206 | + | 0.876607i | \(0.659801\pi\) | |||||||
\(744\) | 3.89039 | − | 1.52686i | 0.142628 | − | 0.0559776i | ||||
\(745\) | 3.33895 | − | 23.0452i | 0.122330 | − | 0.844311i | ||||
\(746\) | 2.78758 | − | 7.10265i | 0.102061 | − | 0.260046i | ||||
\(747\) | 0.331303 | + | 0.626856i | 0.0121217 | + | 0.0229355i | ||||
\(748\) | −3.36152 | − | 0.378753i | −0.122910 | − | 0.0138486i | ||||
\(749\) | 8.72438 | − | 7.88830i | 0.318782 | − | 0.288232i | ||||
\(750\) | 18.2579 | − | 4.49786i | 0.666685 | − | 0.164239i | ||||
\(751\) | −13.9343 | + | 9.50025i | −0.508470 | + | 0.346669i | −0.790224 | − | 0.612818i | \(-0.790036\pi\) |
0.281754 | + | 0.959487i | \(0.409084\pi\) | |||||||
\(752\) | 0.907166 | + | 0.0339438i | 0.0330809 | + | 0.00123780i | ||||
\(753\) | −4.67677 | + | 17.4540i | −0.170431 | + | 0.636058i | ||||
\(754\) | −10.6111 | + | 18.3790i | −0.386435 | + | 0.669324i | ||||
\(755\) | 46.4554 | − | 0.265452i | 1.69069 | − | 0.00966080i | ||||
\(756\) | −12.7921 | + | 5.95854i | −0.465245 | + | 0.216710i | ||||
\(757\) | −5.36734 | − | 8.54208i | −0.195079 | − | 0.310467i | 0.734833 | − | 0.678248i | \(-0.237260\pi\) |
−0.929912 | + | 0.367781i | \(0.880118\pi\) | |||||||
\(758\) | 1.26869 | + | 33.9064i | 0.0460809 | + | 1.23154i | ||||
\(759\) | 23.8615 | + | 3.59655i | 0.866119 | + | 0.130546i | ||||
\(760\) | −14.1952 | + | 6.29008i | −0.514913 | + | 0.228165i | ||||
\(761\) | 20.8417 | − | 22.4620i | 0.755512 | − | 0.814248i | −0.231846 | − | 0.972752i | \(-0.574477\pi\) |
0.987358 | + | 0.158504i | \(0.0506671\pi\) | |||||||
\(762\) | 15.3908 | − | 9.67068i | 0.557550 | − | 0.350332i | ||||
\(763\) | −22.6675 | + | 22.0907i | −0.820617 | + | 0.799737i | ||||
\(764\) | −9.48420 | + | 2.16471i | −0.343126 | + | 0.0783163i | ||||
\(765\) | −0.298518 | + | 0.0128783i | −0.0107929 | + | 0.000465616i | ||||
\(766\) | −28.3383 | + | 16.3612i | −1.02391 | + | 0.591152i | ||||
\(767\) | −0.383238 | + | 10.2422i | −0.0138379 | + | 0.369826i | ||||
\(768\) | 0.312678 | − | 1.65254i | 0.0112828 | − | 0.0596309i | ||||
\(769\) | −16.7927 | + | 21.0574i | −0.605559 | + | 0.759347i | −0.986233 | − | 0.165362i | \(-0.947121\pi\) |
0.380674 | + | 0.924710i | \(0.375692\pi\) | |||||||
\(770\) | 25.3467 | + | 4.00650i | 0.913430 | + | 0.144384i | ||||
\(771\) | 3.69750 | + | 4.63652i | 0.133162 | + | 0.166980i | ||||
\(772\) | 23.7532 | − | 12.5539i | 0.854897 | − | 0.451826i | ||||
\(773\) | −7.98578 | − | 18.3036i | −0.287228 | − | 0.658334i | 0.711801 | − | 0.702381i | \(-0.247880\pi\) |
−0.999029 | + | 0.0440467i | \(0.985975\pi\) | |||||||
\(774\) | 0.243849 | − | 0.0182739i | 0.00876496 | − | 0.000656843i | ||||
\(775\) | −12.3996 | − | 0.786840i | −0.445408 | − | 0.0282641i | ||||
\(776\) | 3.11188 | + | 6.46188i | 0.111710 | + | 0.231968i | ||||
\(777\) | −5.09083 | − | 20.0280i | −0.182633 | − | 0.718502i | ||||
\(778\) | 5.89456 | + | 16.8457i | 0.211330 | + | 0.603947i | ||||
\(779\) | 13.6896 | + | 1.02589i | 0.490481 | + | 0.0367565i | ||||
\(780\) | −0.708174 | − | 8.77667i | −0.0253567 | − | 0.314255i | ||||
\(781\) | 11.3280 | + | 7.72329i | 0.405347 | + | 0.276361i | ||||
\(782\) | 2.07563 | + | 1.53188i | 0.0742243 | + | 0.0547800i | ||||
\(783\) | 34.1859 | − | 34.1859i | 1.22170 | − | 1.22170i | ||||
\(784\) | 6.78209 | + | 1.73298i | 0.242218 | + | 0.0618923i | ||||
\(785\) | −31.1453 | + | 19.8190i | −1.11162 | + | 0.707370i | ||||
\(786\) | −1.94578 | + | 0.293279i | −0.0694037 | + | 0.0104609i | ||||
\(787\) | −9.07609 | − | 47.9683i | −0.323528 | − | 1.70989i | −0.646026 | − | 0.763315i | \(-0.723570\pi\) |
0.322498 | − | 0.946570i | \(-0.395477\pi\) | |||||||
\(788\) | −10.5054 | − | 5.55224i | −0.374238 | − | 0.197790i | ||||
\(789\) | 3.31957 | − | 44.2966i | 0.118180 | − | 1.57700i | ||||
\(790\) | −23.9703 | + | 2.83961i | −0.852827 | + | 0.101029i | ||||
\(791\) | −13.5793 | + | 42.0897i | −0.482825 | + | 1.49654i | ||||
\(792\) | 0.245463 | − | 0.701493i | 0.00872215 | − | 0.0249265i | ||||
\(793\) | −8.70354 | + | 19.9487i | −0.309072 | + | 0.708400i | ||||
\(794\) | 1.14848 | + | 15.3255i | 0.0407582 | + | 0.543880i | ||||
\(795\) | −31.6512 | − | 21.3155i | −1.12255 | − | 0.755983i | ||||
\(796\) | 6.48373 | − | 21.0197i | 0.229810 | − | 0.745025i | ||||
\(797\) | 3.93693 | − | 34.9412i | 0.139453 | − | 1.23768i | −0.707770 | − | 0.706443i | \(-0.750299\pi\) |
0.847223 | − | 0.531238i | \(-0.178273\pi\) | |||||||
\(798\) | 30.4304 | − | 5.35256i | 1.07722 | − | 0.189478i | ||||
\(799\) | −0.553521 | − | 0.441418i | −0.0195821 | − | 0.0156162i | ||||
\(800\) | −2.92293 | + | 4.05666i | −0.103341 | + | 0.143424i | ||||
\(801\) | 1.53950 | + | 1.65918i | 0.0543955 | + | 0.0586244i | ||||
\(802\) | 8.53715 | + | 2.28752i | 0.301457 | + | 0.0807752i | ||||
\(803\) | 1.72832 | + | 6.45016i | 0.0609910 | + | 0.227621i | ||||
\(804\) | −5.05873 | − | 22.1638i | −0.178408 | − | 0.781655i | ||||
\(805\) | −15.2120 | − | 12.3106i | −0.536151 | − | 0.433893i | ||||
\(806\) | −1.29463 | + | 5.67215i | −0.0456014 | + | 0.199793i | ||||
\(807\) | 45.3343 | − | 1.69629i | 1.59584 | − | 0.0597123i | ||||
\(808\) | 8.63637 | − | 6.37393i | 0.303826 | − | 0.224234i | ||||
\(809\) | −2.69615 | + | 17.8878i | −0.0947915 | + | 0.628900i | 0.890105 | + | 0.455756i | \(0.150631\pi\) |
−0.984896 | + | 0.173145i | \(0.944607\pi\) | |||||||
\(810\) | −3.40929 | + | 18.5997i | −0.119790 | + | 0.653527i | ||||
\(811\) | 47.4903 | + | 10.8393i | 1.66761 | + | 0.380621i | 0.949119 | − | 0.314917i | \(-0.101977\pi\) |
0.718489 | + | 0.695538i | \(0.244834\pi\) | |||||||
\(812\) | −23.8634 | + | 2.37780i | −0.837441 | + | 0.0834443i | ||||
\(813\) | 21.0238 | − | 33.4593i | 0.737338 | − | 1.17347i | ||||
\(814\) | 17.4450 | + | 10.0719i | 0.611446 | + | 0.353019i | ||||
\(815\) | 39.2757 | + | 20.4716i | 1.37577 | + | 0.717088i | ||||
\(816\) | −0.961513 | + | 0.892154i | −0.0336597 | + | 0.0312316i | ||||
\(817\) | −9.73696 | − | 1.84233i | −0.340653 | − | 0.0644550i | ||||
\(818\) | 0.696749 | + | 6.18382i | 0.0243613 | + | 0.216212i | ||||
\(819\) | 0.171701 | − | 1.04740i | 0.00599972 | − | 0.0365992i | ||||
\(820\) | 3.97204 | − | 1.94087i | 0.138710 | − | 0.0677781i | ||||
\(821\) | −20.6293 | − | 6.36330i | −0.719968 | − | 0.222081i | −0.0869441 | − | 0.996213i | \(-0.527710\pi\) |
−0.633023 | + | 0.774133i | \(0.718186\pi\) | |||||||
\(822\) | 14.4635 | − | 6.31037i | 0.504473 | − | 0.220099i | ||||
\(823\) | −25.6680 | + | 29.8268i | −0.894730 | + | 1.03970i | 0.104250 | + | 0.994551i | \(0.466756\pi\) |
−0.998980 | + | 0.0451444i | \(0.985625\pi\) | |||||||
\(824\) | 3.58560 | + | 9.13596i | 0.124910 | + | 0.318266i | ||||
\(825\) | 25.4959 | − | 26.0854i | 0.887654 | − | 0.908178i | ||||
\(826\) | −9.65279 | + | 6.40054i | −0.335863 | + | 0.222703i | ||||
\(827\) | −13.1661 | + | 4.60701i | −0.457829 | + | 0.160201i | −0.549333 | − | 0.835603i | \(-0.685118\pi\) |
0.0915040 | + | 0.995805i | \(0.470833\pi\) | |||||||
\(828\) | −0.429589 | + | 0.369691i | −0.0149292 | + | 0.0128477i | ||||
\(829\) | −14.5078 | + | 4.47505i | −0.503875 | + | 0.155425i | −0.536264 | − | 0.844050i | \(-0.680165\pi\) |
0.0323886 | + | 0.999475i | \(0.489689\pi\) | |||||||
\(830\) | −6.33232 | − | 6.74688i | −0.219798 | − | 0.234188i | ||||
\(831\) | 5.92134 | + | 39.2855i | 0.205409 | + | 1.36280i | ||||
\(832\) | 1.65557 | + | 1.65557i | 0.0573967 | + | 0.0573967i | ||||
\(833\) | −3.45315 | − | 4.22830i | −0.119645 | − | 0.146502i | ||||
\(834\) | 2.86836i | 0.0993232i | ||||||||
\(835\) | 14.5661 | − | 12.6808i | 0.504082 | − | 0.438836i | ||||
\(836\) | −16.9662 | + | 24.8849i | −0.586789 | + | 0.860662i | ||||
\(837\) | 6.19315 | − | 11.7180i | 0.214066 | − | 0.405034i | ||||
\(838\) | 15.3178 | + | 17.7996i | 0.529144 | + | 0.614877i | ||||
\(839\) | 15.9961 | + | 7.70330i | 0.552246 | + | 0.265948i | 0.689128 | − | 0.724640i | \(-0.257994\pi\) |
−0.136882 | + | 0.990587i | \(0.543708\pi\) | |||||||
\(840\) | 7.58819 | − | 6.43603i | 0.261817 | − | 0.222064i | ||||
\(841\) | 47.8948 | − | 23.0649i | 1.65155 | − | 0.795343i | ||||
\(842\) | 22.8618 | + | 9.97448i | 0.787868 | + | 0.343743i | ||||
\(843\) | −8.22503 | − | 7.07821i | −0.283285 | − | 0.243787i | ||||
\(844\) | 2.65162 | + | 1.04069i | 0.0912727 | + | 0.0358219i | ||||
\(845\) | −14.6066 | − | 8.32222i | −0.502483 | − | 0.286293i | ||||
\(846\) | 0.121608 | − | 0.0969794i | 0.00418098 | − | 0.00333422i | ||||
\(847\) | 19.0549 | − | 8.02293i | 0.654735 | − | 0.275671i | ||||
\(848\) | 10.0830 | − | 1.13608i | 0.346250 | − | 0.0390130i | ||||
\(849\) | 19.6314 | + | 28.7940i | 0.673749 | + | 0.988208i | ||||
\(850\) | 3.71280 | − | 1.19188i | 0.127348 | − | 0.0408812i | ||||
\(851\) | −7.68077 | − | 13.3035i | −0.263293 | − | 0.456038i | ||||
\(852\) | 5.13494 | − | 1.37590i | 0.175920 | − | 0.0471377i | ||||
\(853\) | 21.3173 | + | 13.3946i | 0.729891 | + | 0.458621i | 0.845023 | − | 0.534729i | \(-0.179586\pi\) |
−0.115132 | + | 0.993350i | \(0.536729\pi\) | |||||||
\(854\) | −24.0464 | + | 5.16339i | −0.822852 | + | 0.176687i | ||||
\(855\) | −1.14054 | + | 2.40340i | −0.0390057 | + | 0.0821944i | ||||
\(856\) | 3.25881 | + | 3.02374i | 0.111384 | + | 0.103349i | ||||
\(857\) | 27.1384 | + | 36.7712i | 0.927029 | + | 1.25608i | 0.966449 | + | 0.256857i | \(0.0826871\pi\) |
−0.0394200 | + | 0.999223i | \(0.512551\pi\) | |||||||
\(858\) | −10.1427 | − | 13.7429i | −0.346267 | − | 0.469175i | ||||
\(859\) | −1.52996 | − | 1.41960i | −0.0522016 | − | 0.0484360i | 0.653641 | − | 0.756805i | \(-0.273241\pi\) |
−0.705842 | + | 0.708369i | \(0.749431\pi\) | |||||||
\(860\) | −3.00610 | + | 1.07120i | −0.102507 | + | 0.0365276i | ||||
\(861\) | −8.60149 | + | 1.84696i | −0.293138 | + | 0.0629443i | ||||
\(862\) | 8.08616 | + | 5.08087i | 0.275416 | + | 0.173055i | ||||
\(863\) | −11.8722 | + | 3.18116i | −0.404136 | + | 0.108288i | −0.455160 | − | 0.890410i | \(-0.650418\pi\) |
0.0510246 | + | 0.998697i | \(0.483751\pi\) | |||||||
\(864\) | −2.66688 | − | 4.61917i | −0.0907290 | − | 0.157147i | ||||
\(865\) | 12.0202 | + | 3.14731i | 0.408700 | + | 0.107012i | ||||
\(866\) | 2.41680 | + | 3.54480i | 0.0821262 | + | 0.120457i | ||||
\(867\) | −27.3954 | + | 3.08672i | −0.930395 | + | 0.104830i | ||||
\(868\) | −6.05929 | + | 2.55121i | −0.205666 | + | 0.0865939i | ||||
\(869\) | −36.6078 | + | 29.1938i | −1.24184 | + | 0.990331i | ||||
\(870\) | −16.8751 | + | 29.6181i | −0.572120 | + | 1.00415i | ||||
\(871\) | 29.4601 | + | 11.5622i | 0.998218 | + | 0.391772i | ||||
\(872\) | −9.06770 | − | 7.80339i | −0.307071 | − | 0.264256i | ||||
\(873\) | 1.12634 | + | 0.491419i | 0.0381210 | + | 0.0166320i | ||||
\(874\) | 20.6935 | − | 9.96548i | 0.699969 | − | 0.337088i | ||||
\(875\) | −28.5396 | + | 7.77753i | −0.964815 | + | 0.262928i | ||||
\(876\) | 2.33282 | + | 1.12343i | 0.0788187 | + | 0.0379571i | ||||
\(877\) | 29.1226 | + | 33.8411i | 0.983400 | + | 1.14273i | 0.989759 | + | 0.142751i | \(0.0455949\pi\) |
−0.00635894 | + | 0.999980i | \(0.502024\pi\) | |||||||
\(878\) | 18.3227 | − | 34.6682i | 0.618361 | − | 1.17000i | ||||
\(879\) | 3.59973 | − | 5.27984i | 0.121416 | − | 0.178084i | ||||
\(880\) | −0.669535 | + | 9.67594i | −0.0225700 | + | 0.326176i | ||||
\(881\) | − | 4.50247i | − | 0.151692i | −0.997120 | − | 0.0758460i | \(-0.975834\pi\) | ||
0.997120 | − | 0.0758460i | \(-0.0241657\pi\) | |||||||
\(882\) | 1.07448 | − | 0.532923i | 0.0361797 | − | 0.0179445i | ||||
\(883\) | −15.7628 | − | 15.7628i | −0.530460 | − | 0.530460i | 0.390250 | − | 0.920709i | \(-0.372389\pi\) |
−0.920709 | + | 0.390250i | \(0.872389\pi\) | |||||||
\(884\) | −0.272147 | − | 1.80557i | −0.00915328 | − | 0.0607280i | ||||
\(885\) | −0.521559 | + | 16.4548i | −0.0175320 | + | 0.553122i | ||||
\(886\) | 20.5460 | − | 6.33761i | 0.690257 | − | 0.212916i | ||||
\(887\) | −24.9453 | + | 21.4672i | −0.837582 | + | 0.720797i | −0.962474 | − | 0.271373i | \(-0.912522\pi\) |
0.124893 | + | 0.992170i | \(0.460141\pi\) | |||||||
\(888\) | 7.37230 | − | 2.57968i | 0.247398 | − | 0.0865684i | ||||
\(889\) | −23.8312 | + | 15.8019i | −0.799273 | + | 0.529979i | ||||
\(890\) | −25.1002 | − | 15.5721i | −0.841359 | − | 0.521979i | ||||
\(891\) | 13.4011 | + | 34.1455i | 0.448954 | + | 1.14392i | ||||
\(892\) | 14.2220 | − | 16.5263i | 0.476188 | − | 0.553341i | ||||
\(893\) | −5.77746 | + | 2.52068i | −0.193335 | + | 0.0843514i | ||||
\(894\) | −16.7364 | − | 5.16248i | −0.559748 | − | 0.172659i | ||||
\(895\) | −8.98791 | − | 18.3940i | −0.300433 | − | 0.614843i | ||||
\(896\) | −0.428006 | + | 2.61090i | −0.0142987 | + | 0.0872241i | ||||
\(897\) | 1.45839 | + | 12.9436i | 0.0486943 | + | 0.432174i | ||||
\(898\) | 12.7761 | + | 2.41738i | 0.426346 | + | 0.0806689i | ||||
\(899\) | 16.5110 | − | 15.3200i | 0.550674 | − | 0.510951i | ||||
\(900\) | 0.0737801 | + | 0.853519i | 0.00245934 | + | 0.0284506i | ||||
\(901\) | −6.85312 | − | 3.95665i | −0.228310 | − | 0.131815i | ||||
\(902\) | 4.56253 | − | 7.26123i | 0.151916 | − | 0.241772i | ||||
\(903\) | 6.31933 | − | 0.629671i | 0.210294 | − | 0.0209541i | ||||
\(904\) | −16.2968 | − | 3.71963i | −0.542022 | − | 0.123713i | ||||
\(905\) | −31.6597 | − | 45.8709i | −1.05240 | − | 1.52480i | ||||
\(906\) | 5.20785 | − | 34.5518i | 0.173019 | − | 1.14791i | ||||
\(907\) | −27.9511 | + | 20.6289i | −0.928102 | + | 0.684971i | −0.949155 | − | 0.314808i | \(-0.898060\pi\) |
0.0210532 | + | 0.999778i | \(0.493298\pi\) | |||||||
\(908\) | −24.1859 | + | 0.904973i | −0.802638 | + | 0.0300326i | ||||
\(909\) | 0.409245 | − | 1.79302i | 0.0135738 | − | 0.0594706i | ||||
\(910\) | 1.45213 | + | 13.7752i | 0.0481376 | + | 0.456643i | ||||
\(911\) | −6.65698 | − | 29.1661i | −0.220556 | − | 0.966317i | −0.957061 | − | 0.289886i | \(-0.906383\pi\) |
0.736506 | − | 0.676431i | \(-0.236474\pi\) | |||||||
\(912\) | 3.02253 | + | 11.2803i | 0.100086 | + | 0.373526i | ||||
\(913\) | −17.3376 | − | 4.64559i | −0.573790 | − | 0.153747i | ||||
\(914\) | 10.6115 | + | 11.4365i | 0.350998 | + | 0.378286i | ||||
\(915\) | −13.7967 | + | 32.1219i | −0.456105 | + | 1.06192i | ||||
\(916\) | 7.71173 | + | 6.14990i | 0.254803 | + | 0.203198i | ||||
\(917\) | 3.04870 | − | 0.536251i | 0.100677 | − | 0.0177086i | ||||
\(918\) | −0.465740 | + | 4.13356i | −0.0153717 | + | 0.136428i | ||||
\(919\) | −1.84840 | + | 5.99236i | −0.0609730 | + | 0.197670i | −0.980934 | − | 0.194339i | \(-0.937744\pi\) |
0.919961 | + | 0.392009i | \(0.128220\pi\) | |||||||
\(920\) | 4.13160 | − | 6.13497i | 0.136215 | − | 0.202264i | ||||
\(921\) | −2.02167 | − | 26.9772i | −0.0666161 | − | 0.888931i | ||||
\(922\) | −2.43844 | + | 5.58896i | −0.0803057 | + | 0.184063i | ||||
\(923\) | −2.44425 | + | 6.98527i | −0.0804535 | + | 0.229923i | ||||
\(924\) | 5.92631 | − | 18.3689i | 0.194961 | − | 0.604292i | ||||
\(925\) | −23.1023 | − | 2.33597i | −0.759600 | − | 0.0768062i | ||||
\(926\) | −0.612270 | + | 8.17017i | −0.0201204 | + | 0.268489i | ||||
\(927\) | 1.48673 | + | 0.785759i | 0.0488306 | + | 0.0258077i | ||||
\(928\) | −1.68514 | − | 8.90615i | −0.0553173 | − | 0.292359i | ||||
\(929\) | −46.4701 | + | 7.00424i | −1.52463 | + | 0.229802i | −0.857245 | − | 0.514908i | \(-0.827826\pi\) |
−0.667388 | + | 0.744710i | \(0.732588\pi\) | |||||||
\(930\) | −2.02740 | + | 9.12260i | −0.0664811 | + | 0.299142i | ||||
\(931\) | −47.6495 | + | 9.59102i | −1.56165 | + | 0.314333i | ||||
\(932\) | −8.76443 | + | 8.76443i | −0.287089 | + | 0.287089i | ||||
\(933\) | −23.4982 | − | 17.3425i | −0.769296 | − | 0.567766i | ||||
\(934\) | −14.8684 | − | 10.1371i | −0.486507 | − | 0.331695i | ||||
\(935\) | 4.90116 | − | 5.76152i | 0.160285 | − | 0.188422i | ||||
\(936\) | 0.400043 | + | 0.0299791i | 0.0130758 | + | 0.000979897i | ||||
\(937\) | 3.79377 | + | 10.8420i | 0.123937 | + | 0.354192i | 0.989089 | − | 0.147318i | \(-0.0470639\pi\) |
−0.865152 | + | 0.501510i | \(0.832778\pi\) | |||||||
\(938\) | 8.81018 | + | 34.6604i | 0.287662 | + | 1.13170i | ||||
\(939\) | −20.5020 | − | 42.5729i | −0.669058 | − | 1.38931i | ||||
\(940\) | −1.19605 | + | 1.64012i | −0.0390107 | + | 0.0534947i | ||||
\(941\) | −17.2978 | + | 1.29629i | −0.563893 | + | 0.0422579i | −0.353627 | − | 0.935386i | \(-0.615052\pi\) |
−0.210266 | + | 0.977644i | \(0.567433\pi\) | |||||||
\(942\) | 11.1037 | + | 25.4499i | 0.361778 | + | 0.829204i | ||||
\(943\) | −5.78192 | + | 3.05583i | −0.188285 | + | 0.0995116i | ||||
\(944\) | −2.72938 | − | 3.42254i | −0.0888339 | − | 0.111394i | ||||
\(945\) | 4.92666 | − | 31.1680i | 0.160264 | − | 1.01389i | ||||
\(946\) | −3.85968 | + | 4.83989i | −0.125489 | + | 0.157358i | ||||
\(947\) | −5.07857 | + | 26.8409i | −0.165031 | + | 0.872212i | 0.797966 | + | 0.602702i | \(0.205909\pi\) |
−0.962998 | + | 0.269510i | \(0.913138\pi\) | |||||||
\(948\) | −0.678852 | + | 18.1427i | −0.0220481 | + | 0.589248i | ||||
\(949\) | −3.12159 | + | 1.80225i | −0.101331 | + | 0.0585035i | ||||
\(950\) | 6.06422 | − | 34.1843i | 0.196749 | − | 1.10908i | ||||
\(951\) | −32.8357 | + | 7.49453i | −1.06477 | + | 0.243027i | ||||
\(952\) | 1.47771 | − | 1.44011i | 0.0478928 | − | 0.0466742i | ||||
\(953\) | 11.6996 | − | 7.35133i | 0.378986 | − | 0.238133i | −0.329045 | − | 0.944314i | \(-0.606727\pi\) |
0.708031 | + | 0.706182i | \(0.249584\pi\) | |||||||
\(954\) | 1.18251 | − | 1.27445i | 0.0382853 | − | 0.0412617i | ||||
\(955\) | 7.83132 | − | 20.2941i | 0.253416 | − | 0.656702i | ||||
\(956\) | −17.2103 | − | 2.59403i | −0.556621 | − | 0.0838971i | ||||
\(957\) | 2.47248 | + | 66.0785i | 0.0799241 | + | 2.13602i | ||||
\(958\) | −18.0290 | − | 28.6930i | −0.582492 | − | 0.927030i | ||||
\(959\) | −22.5025 | + | 10.4816i | −0.726645 | + | 0.338469i | ||||
\(960\) | 2.67441 | + | 2.64402i | 0.0863162 | + | 0.0853353i | ||||
\(961\) | −12.4126 | + | 21.4993i | −0.400406 | + | 0.693524i | ||||
\(962\) | −2.81419 | + | 10.5027i | −0.0907333 | + | 0.338621i | ||||
\(963\) | 0.761168 | + | 0.0284809i | 0.0245283 | + | 0.000917784i | ||||
\(964\) | 4.42644 | − | 3.01790i | 0.142566 | − | 0.0972000i | ||||
\(965\) | −6.38511 | + | 59.7353i | −0.205544 | + | 1.92295i | ||||
\(966\) | −10.9179 | + | 9.87164i | −0.351279 | + | 0.317615i | ||||
\(967\) | 27.6845 | + | 3.11929i | 0.890273 | + | 0.100310i | 0.545239 | − | 0.838280i | \(-0.316439\pi\) |
0.345034 | + | 0.938590i | \(0.387867\pi\) | |||||||
\(968\) | 3.65144 | + | 6.90886i | 0.117362 | + | 0.222059i | ||||
\(969\) | 3.32739 | − | 8.47805i | 0.106891 | − | 0.272354i | ||||
\(970\) | −15.8717 | − | 2.29960i | −0.509609 | − | 0.0738357i | ||||
\(971\) | 18.0752 | − | 7.09398i | 0.580060 | − | 0.227657i | −0.0571261 | − | 0.998367i | \(-0.518194\pi\) |
0.637186 | + | 0.770710i | \(0.280098\pi\) | |||||||
\(972\) | −1.67860 | − | 0.587368i | −0.0538412 | − | 0.0188398i | ||||
\(973\) | −0.110604 | − | 4.51089i | −0.00354580 | − | 0.144612i | ||||
\(974\) | 8.79866 | − | 18.2706i | 0.281927 | − | 0.585428i | ||||
\(975\) | 17.1626 | + | 9.64900i | 0.549642 | + | 0.309015i | ||||
\(976\) | −2.74000 | − | 8.88287i | −0.0877054 | − | 0.284334i | ||||
\(977\) | −29.8338 | + | 5.64486i | −0.954468 | + | 0.180595i | −0.639744 | − | 0.768588i | \(-0.720960\pi\) |
−0.314724 | + | 0.949183i | \(0.601912\pi\) | |||||||
\(978\) | 19.7821 | − | 26.8038i | 0.632563 | − | 0.857092i | ||||
\(979\) | −57.2988 | −1.83128 | ||||||||
\(980\) | −11.6853 | + | 10.4141i | −0.373273 | + | 0.332667i | ||||
\(981\) | −2.04976 | −0.0654439 | ||||||||
\(982\) | −7.56717 | + | 10.2531i | −0.241478 | + | 0.327191i | ||||
\(983\) | −40.5180 | + | 7.66642i | −1.29232 | + | 0.244521i | −0.786217 | − | 0.617950i | \(-0.787963\pi\) |
−0.506106 | + | 0.862471i | \(0.668916\pi\) | |||||||
\(984\) | −0.980109 | − | 3.17743i | −0.0312447 | − | 0.101293i | ||||
\(985\) | 23.4194 | − | 12.5492i | 0.746203 | − | 0.399851i | ||||
\(986\) | −3.06713 | + | 6.36895i | −0.0976772 | + | 0.202829i | ||||
\(987\) | 3.09554 | − | 2.59526i | 0.0985321 | − | 0.0826080i | ||||
\(988\) | −15.3450 | − | 5.36944i | −0.488189 | − | 0.170825i | ||||
\(989\) | 4.39448 | − | 1.72471i | 0.139736 | − | 0.0548425i | ||||
\(990\) | 0.994461 | + | 1.33146i | 0.0316060 | + | 0.0423164i | ||||
\(991\) | 10.9026 | − | 27.7794i | 0.346333 | − | 0.882443i | −0.646498 | − | 0.762916i | \(-0.723767\pi\) |
0.992831 | − | 0.119527i | \(-0.0381377\pi\) | |||||||
\(992\) | −1.16112 | − | 2.19695i | −0.0368657 | − | 0.0697533i | ||||
\(993\) | −18.4225 | − | 2.07571i | −0.584620 | − | 0.0658708i | ||||
\(994\) | −8.02234 | + | 2.36180i | −0.254453 | + | 0.0749117i | ||||
\(995\) | 30.8867 | + | 38.2799i | 0.979175 | + | 1.21356i | ||||
\(996\) | −5.75036 | + | 3.92053i | −0.182207 | + | 0.124227i | ||||
\(997\) | −15.8611 | − | 0.593479i | −0.502325 | − | 0.0187957i | −0.214972 | − | 0.976620i | \(-0.568966\pi\) |
−0.287353 | + | 0.957825i | \(0.592775\pi\) | |||||||
\(998\) | −0.902857 | + | 3.36951i | −0.0285794 | + | 0.106660i | ||||
\(999\) | 12.3850 | − | 21.4515i | 0.391846 | − | 0.678696i |
(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 | 490.2.w.a.103.24 | ✓ | 672 | |
5.2 | odd | 4 | inner | 490.2.w.a.397.19 | yes | 672 | |
49.10 | odd | 42 | inner | 490.2.w.a.353.19 | yes | 672 | |
245.157 | even | 84 | inner | 490.2.w.a.157.24 | yes | 672 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
490.2.w.a.103.24 | ✓ | 672 | 1.1 | even | 1 | trivial | |
490.2.w.a.157.24 | yes | 672 | 245.157 | even | 84 | inner | |
490.2.w.a.353.19 | yes | 672 | 49.10 | odd | 42 | inner | |
490.2.w.a.397.19 | yes | 672 | 5.2 | odd | 4 | inner |