Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(2,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bx (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 2.20 | ||
Character | \(\chi\) | \(=\) | 315.2 |
Dual form | 315.2.bx.a.158.20 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.534455 | − | 0.143207i | −0.377917 | − | 0.101263i | 0.0648600 | − | 0.997894i | \(-0.479340\pi\) |
−0.442777 | + | 0.896632i | \(0.646007\pi\) | |||||||
\(3\) | 1.61596 | + | 0.623443i | 0.932974 | + | 0.359945i | ||||
\(4\) | −1.46692 | − | 0.846925i | −0.733458 | − | 0.423462i | ||||
\(5\) | 2.22680 | + | 0.203348i | 0.995856 | + | 0.0909400i | ||||
\(6\) | −0.774376 | − | 0.564618i | −0.316137 | − | 0.230505i | ||||
\(7\) | −1.18425 | − | 2.36592i | −0.447604 | − | 0.894232i | ||||
\(8\) | 1.44521 | + | 1.44521i | 0.510960 | + | 0.510960i | ||||
\(9\) | 2.22264 | + | 2.01491i | 0.740879 | + | 0.671638i | ||||
\(10\) | −1.16101 | − | 0.427574i | −0.367142 | − | 0.135211i | ||||
\(11\) | − | 4.16025i | − | 1.25436i | −0.778873 | − | 0.627181i | \(-0.784209\pi\) | ||
0.778873 | − | 0.627181i | \(-0.215791\pi\) | |||||||
\(12\) | −1.84247 | − | 2.28313i | −0.531874 | − | 0.659084i | ||||
\(13\) | 3.13265 | + | 0.839392i | 0.868842 | + | 0.232805i | 0.665587 | − | 0.746321i | \(-0.268181\pi\) |
0.203255 | + | 0.979126i | \(0.434848\pi\) | |||||||
\(14\) | 0.294112 | + | 1.43407i | 0.0786048 | + | 0.383271i | ||||
\(15\) | 3.47164 | + | 1.71689i | 0.896374 | + | 0.443298i | ||||
\(16\) | 1.12841 | + | 1.95447i | 0.282103 | + | 0.488617i | ||||
\(17\) | 0.204226 | + | 0.0547221i | 0.0495320 | + | 0.0132721i | 0.283500 | − | 0.958972i | \(-0.408504\pi\) |
−0.233968 | + | 0.972244i | \(0.575171\pi\) | |||||||
\(18\) | −0.899351 | − | 1.39518i | −0.211979 | − | 0.328847i | ||||
\(19\) | −1.17486 | − | 0.678306i | −0.269532 | − | 0.155614i | 0.359143 | − | 0.933282i | \(-0.383069\pi\) |
−0.628675 | + | 0.777668i | \(0.716402\pi\) | |||||||
\(20\) | −3.09431 | − | 2.18423i | −0.691910 | − | 0.488408i | ||||
\(21\) | −0.438681 | − | 4.56153i | −0.0957281 | − | 0.995408i | ||||
\(22\) | −0.595776 | + | 2.22347i | −0.127020 | + | 0.474045i | ||||
\(23\) | 0.134622 | + | 0.134622i | 0.0280705 | + | 0.0280705i | 0.721003 | − | 0.692932i | \(-0.243681\pi\) |
−0.692932 | + | 0.721003i | \(0.743681\pi\) | |||||||
\(24\) | 1.43439 | + | 3.23641i | 0.292795 | + | 0.660629i | ||||
\(25\) | 4.91730 | + | 0.905631i | 0.983460 | + | 0.181126i | ||||
\(26\) | −1.55406 | − | 0.897234i | −0.304775 | − | 0.175962i | ||||
\(27\) | 2.33550 | + | 4.64170i | 0.449468 | + | 0.893296i | ||||
\(28\) | −0.266559 | + | 4.47357i | −0.0503749 | + | 0.845425i | ||||
\(29\) | 2.87523 | − | 4.98004i | 0.533917 | − | 0.924771i | −0.465298 | − | 0.885154i | \(-0.654053\pi\) |
0.999215 | − | 0.0396168i | \(-0.0126137\pi\) | |||||||
\(30\) | −1.60957 | − | 1.41476i | −0.293865 | − | 0.258299i | ||||
\(31\) | −5.19117 | + | 8.99137i | −0.932362 | + | 1.61490i | −0.153090 | + | 0.988212i | \(0.548922\pi\) |
−0.779272 | + | 0.626686i | \(0.784411\pi\) | |||||||
\(32\) | −1.38116 | − | 5.15457i | −0.244157 | − | 0.911207i | ||||
\(33\) | 2.59368 | − | 6.72279i | 0.451502 | − | 1.17029i | ||||
\(34\) | −0.101313 | − | 0.0584930i | −0.0173750 | − | 0.0100315i | ||||
\(35\) | −2.15598 | − | 5.50924i | −0.364428 | − | 0.931232i | ||||
\(36\) | −1.55394 | − | 4.83812i | −0.258991 | − | 0.806353i | ||||
\(37\) | 4.73254 | − | 1.26808i | 0.778025 | − | 0.208471i | 0.152111 | − | 0.988363i | \(-0.451393\pi\) |
0.625914 | + | 0.779892i | \(0.284726\pi\) | |||||||
\(38\) | 0.530772 | + | 0.530772i | 0.0861026 | + | 0.0861026i | ||||
\(39\) | 4.53892 | + | 3.30945i | 0.726809 | + | 0.529936i | ||||
\(40\) | 2.92432 | + | 3.51208i | 0.462376 | + | 0.555309i | ||||
\(41\) | −3.39376 | + | 1.95939i | −0.530017 | + | 0.306005i | −0.741023 | − | 0.671479i | \(-0.765659\pi\) |
0.211007 | + | 0.977485i | \(0.432326\pi\) | |||||||
\(42\) | −0.418787 | + | 2.50076i | −0.0646202 | + | 0.385875i | ||||
\(43\) | 0.609725 | + | 2.27552i | 0.0929821 | + | 0.347014i | 0.996706 | − | 0.0811022i | \(-0.0258440\pi\) |
−0.903724 | + | 0.428116i | \(0.859177\pi\) | |||||||
\(44\) | −3.52342 | + | 6.10274i | −0.531175 | + | 0.920023i | ||||
\(45\) | 4.53965 | + | 4.93879i | 0.676731 | + | 0.736231i | ||||
\(46\) | −0.0526705 | − | 0.0912279i | −0.00776583 | − | 0.0134508i | ||||
\(47\) | −9.29737 | − | 2.49122i | −1.35616 | − | 0.363382i | −0.493755 | − | 0.869601i | \(-0.664376\pi\) |
−0.862405 | + | 0.506219i | \(0.831043\pi\) | |||||||
\(48\) | 0.604968 | + | 3.86184i | 0.0873195 | + | 0.557408i | ||||
\(49\) | −4.19511 | + | 5.60366i | −0.599302 | + | 0.800523i | ||||
\(50\) | −2.49838 | − | 1.18821i | −0.353325 | − | 0.168038i | ||||
\(51\) | 0.295904 | + | 0.215752i | 0.0414348 | + | 0.0302113i | ||||
\(52\) | −3.88444 | − | 3.88444i | −0.538675 | − | 0.538675i | ||||
\(53\) | 1.78171 | − | 6.64942i | 0.244736 | − | 0.913368i | −0.728780 | − | 0.684748i | \(-0.759912\pi\) |
0.973516 | − | 0.228619i | \(-0.0734211\pi\) | |||||||
\(54\) | −0.583498 | − | 2.81524i | −0.0794040 | − | 0.383106i | ||||
\(55\) | 0.845978 | − | 9.26406i | 0.114072 | − | 1.24916i | ||||
\(56\) | 1.70776 | − | 5.13074i | 0.228209 | − | 0.685624i | ||||
\(57\) | −1.47564 | − | 1.82857i | −0.195453 | − | 0.242200i | ||||
\(58\) | −2.24986 | + | 2.24986i | −0.295421 | + | 0.295421i | ||||
\(59\) | −0.744258 | + | 1.28909i | −0.0968941 | + | 0.167825i | −0.910398 | − | 0.413735i | \(-0.864224\pi\) |
0.813503 | + | 0.581560i | \(0.197557\pi\) | |||||||
\(60\) | −3.63854 | − | 5.45875i | −0.469733 | − | 0.704721i | ||||
\(61\) | 2.95741 | + | 5.12239i | 0.378658 | + | 0.655855i | 0.990867 | − | 0.134841i | \(-0.0430524\pi\) |
−0.612209 | + | 0.790696i | \(0.709719\pi\) | |||||||
\(62\) | 4.06207 | − | 4.06207i | 0.515884 | − | 0.515884i | ||||
\(63\) | 2.13496 | − | 7.64473i | 0.268980 | − | 0.963146i | ||||
\(64\) | − | 1.56097i | − | 0.195122i | ||||||
\(65\) | 6.80511 | + | 2.50618i | 0.844070 | + | 0.310853i | ||||
\(66\) | −2.34895 | + | 3.22160i | −0.289136 | + | 0.396551i | ||||
\(67\) | −11.2289 | + | 3.00876i | −1.37182 | + | 0.367579i | −0.868144 | − | 0.496312i | \(-0.834687\pi\) |
−0.503678 | + | 0.863891i | \(0.668020\pi\) | |||||||
\(68\) | −0.253237 | − | 0.253237i | −0.0307094 | − | 0.0307094i | ||||
\(69\) | 0.133614 | + | 0.301472i | 0.0160852 | + | 0.0362929i | ||||
\(70\) | 0.363315 | + | 3.25319i | 0.0434245 | + | 0.388831i | ||||
\(71\) | 8.70015i | 1.03252i | 0.856433 | + | 0.516259i | \(0.172676\pi\) | ||||
−0.856433 | + | 0.516259i | \(0.827324\pi\) | |||||||
\(72\) | 0.300204 | + | 6.12416i | 0.0353793 | + | 0.721740i | ||||
\(73\) | −10.7568 | − | 2.88227i | −1.25898 | − | 0.337344i | −0.433183 | − | 0.901306i | \(-0.642610\pi\) |
−0.825801 | + | 0.563962i | \(0.809276\pi\) | |||||||
\(74\) | −2.71093 | −0.315139 | ||||||||
\(75\) | 7.38154 | + | 4.52912i | 0.852347 | + | 0.522977i | ||||
\(76\) | 1.14895 | + | 1.99004i | 0.131793 | + | 0.228273i | ||||
\(77\) | −9.84280 | + | 4.92677i | −1.12169 | + | 0.561457i | ||||
\(78\) | −1.95191 | − | 2.41876i | −0.221011 | − | 0.273870i | ||||
\(79\) | −11.8531 | + | 6.84341i | −1.33358 | + | 0.769943i | −0.985847 | − | 0.167650i | \(-0.946382\pi\) |
−0.347734 | + | 0.937593i | \(0.613049\pi\) | |||||||
\(80\) | 2.11532 | + | 4.58167i | 0.236499 | + | 0.512247i | ||||
\(81\) | 0.880237 | + | 8.95685i | 0.0978041 | + | 0.995206i | ||||
\(82\) | 2.09441 | − | 0.561196i | 0.231289 | − | 0.0619737i | ||||
\(83\) | 4.88444 | − | 1.30878i | 0.536137 | − | 0.143658i | 0.0194164 | − | 0.999811i | \(-0.493819\pi\) |
0.516721 | + | 0.856154i | \(0.327153\pi\) | |||||||
\(84\) | −3.21976 | + | 7.06292i | −0.351305 | + | 0.770627i | ||||
\(85\) | 0.443643 | + | 0.163384i | 0.0481198 | + | 0.0177215i | ||||
\(86\) | − | 1.30348i | − | 0.140558i | ||||||
\(87\) | 7.75102 | − | 6.25500i | 0.830997 | − | 0.670606i | ||||
\(88\) | 6.01244 | − | 6.01244i | 0.640929 | − | 0.640929i | ||||
\(89\) | −8.20480 | + | 14.2111i | −0.869708 | + | 1.50638i | −0.00741193 | + | 0.999973i | \(0.502359\pi\) |
−0.862296 | + | 0.506405i | \(0.830974\pi\) | |||||||
\(90\) | −1.71897 | − | 3.28967i | −0.181195 | − | 0.346761i | ||||
\(91\) | −1.72391 | − | 8.40564i | −0.180715 | − | 0.881150i | ||||
\(92\) | −0.0834643 | − | 0.311493i | −0.00870175 | − | 0.0324754i | ||||
\(93\) | −13.9943 | + | 11.2933i | −1.45114 | + | 1.17106i | ||||
\(94\) | 4.61226 | + | 2.66289i | 0.475719 | + | 0.274656i | ||||
\(95\) | −2.47825 | − | 1.74936i | −0.254263 | − | 0.179480i | ||||
\(96\) | 0.981679 | − | 9.19063i | 0.100192 | − | 0.938015i | ||||
\(97\) | 4.62536 | − | 1.23936i | 0.469634 | − | 0.125838i | −0.0162378 | − | 0.999868i | \(-0.505169\pi\) |
0.485872 | + | 0.874030i | \(0.338502\pi\) | |||||||
\(98\) | 3.04458 | − | 2.39414i | 0.307549 | − | 0.241844i | ||||
\(99\) | 8.38255 | − | 9.24673i | 0.842478 | − | 0.929331i | ||||
\(100\) | −6.44627 | − | 5.49307i | −0.644627 | − | 0.549307i | ||||
\(101\) | 5.26893i | 0.524278i | 0.965030 | + | 0.262139i | \(0.0844279\pi\) | ||||
−0.965030 | + | 0.262139i | \(0.915572\pi\) | |||||||
\(102\) | −0.127250 | − | 0.157685i | −0.0125997 | − | 0.0156131i | ||||
\(103\) | −0.271387 | + | 0.271387i | −0.0267405 | + | 0.0267405i | −0.720351 | − | 0.693610i | \(-0.756019\pi\) |
0.693610 | + | 0.720351i | \(0.256019\pi\) | |||||||
\(104\) | 3.31425 | + | 5.74045i | 0.324989 | + | 0.562897i | ||||
\(105\) | −0.0492789 | − | 10.2468i | −0.00480913 | − | 0.999988i | ||||
\(106\) | −1.90448 | + | 3.29866i | −0.184980 | + | 0.320394i | ||||
\(107\) | −4.10794 | − | 15.3310i | −0.397129 | − | 1.48211i | −0.818123 | − | 0.575043i | \(-0.804985\pi\) |
0.420994 | − | 0.907063i | \(-0.361681\pi\) | |||||||
\(108\) | 0.505185 | − | 8.78699i | 0.0486115 | − | 0.845529i | ||||
\(109\) | −9.81202 | + | 5.66497i | −0.939821 | + | 0.542606i | −0.889904 | − | 0.456147i | \(-0.849229\pi\) |
−0.0499171 | + | 0.998753i | \(0.515896\pi\) | |||||||
\(110\) | −1.77881 | + | 4.83007i | −0.169603 | + | 0.460529i | ||||
\(111\) | 8.43816 | + | 0.901305i | 0.800915 | + | 0.0855481i | ||||
\(112\) | 3.28779 | − | 4.98430i | 0.310667 | − | 0.470972i | ||||
\(113\) | 1.93723 | − | 7.22985i | 0.182240 | − | 0.680127i | −0.812965 | − | 0.582312i | \(-0.802148\pi\) |
0.995205 | − | 0.0978149i | \(-0.0311853\pi\) | |||||||
\(114\) | 0.526799 | + | 1.18861i | 0.0493393 | + | 0.111324i | ||||
\(115\) | 0.272401 | + | 0.327151i | 0.0254015 | + | 0.0305070i | ||||
\(116\) | −8.43544 | + | 4.87021i | −0.783211 | + | 0.452187i | ||||
\(117\) | 5.27145 | + | 8.17769i | 0.487346 | + | 0.756028i | ||||
\(118\) | 0.582379 | − | 0.582379i | 0.0536123 | − | 0.0536123i | ||||
\(119\) | −0.112386 | − | 0.547985i | −0.0103024 | − | 0.0502337i | ||||
\(120\) | 2.53600 | + | 7.49853i | 0.231504 | + | 0.684519i | ||||
\(121\) | −6.30768 | −0.573426 | ||||||||
\(122\) | −0.847043 | − | 3.16121i | −0.0766877 | − | 0.286202i | ||||
\(123\) | −6.70574 | + | 1.05047i | −0.604637 | + | 0.0947180i | ||||
\(124\) | 15.2300 | − | 8.79306i | 1.36770 | − | 0.789640i | ||||
\(125\) | 10.7657 | + | 3.01659i | 0.962913 | + | 0.269812i | ||||
\(126\) | −2.23582 | + | 3.78002i | −0.199183 | + | 0.336751i | ||||
\(127\) | 3.58098 | + | 3.58098i | 0.317760 | + | 0.317760i | 0.847906 | − | 0.530146i | \(-0.177863\pi\) |
−0.530146 | + | 0.847906i | \(0.677863\pi\) | |||||||
\(128\) | −2.98587 | + | 11.1434i | −0.263916 | + | 0.984947i | ||||
\(129\) | −0.433370 | + | 4.05728i | −0.0381561 | + | 0.357223i | ||||
\(130\) | −3.27812 | − | 2.31398i | −0.287511 | − | 0.202949i | ||||
\(131\) | 0.566735i | 0.0495159i | 0.999693 | + | 0.0247579i | \(0.00788150\pi\) | ||||
−0.999693 | + | 0.0247579i | \(0.992118\pi\) | |||||||
\(132\) | −9.49841 | + | 7.66512i | −0.826730 | + | 0.667163i | ||||
\(133\) | −0.213488 | + | 3.58290i | −0.0185118 | + | 0.310677i | ||||
\(134\) | 6.43219 | 0.555657 | ||||||||
\(135\) | 4.25682 | + | 10.8111i | 0.366369 | + | 0.930470i | ||||
\(136\) | 0.216064 | + | 0.374235i | 0.0185274 | + | 0.0320904i | ||||
\(137\) | 0.0429618 | − | 0.0429618i | 0.00367047 | − | 0.00367047i | −0.705269 | − | 0.708940i | \(-0.749174\pi\) |
0.708940 | + | 0.705269i | \(0.249174\pi\) | |||||||
\(138\) | −0.0282378 | − | 0.180257i | −0.00240376 | − | 0.0153445i | ||||
\(139\) | 17.2778 | − | 9.97533i | 1.46548 | − | 0.846097i | 0.466226 | − | 0.884665i | \(-0.345613\pi\) |
0.999256 | + | 0.0385689i | \(0.0122799\pi\) | |||||||
\(140\) | −1.50327 | + | 9.90755i | −0.127049 | + | 0.837341i | ||||
\(141\) | −13.4710 | − | 9.82209i | −1.13446 | − | 0.827169i | ||||
\(142\) | 1.24592 | − | 4.64984i | 0.104555 | − | 0.390206i | ||||
\(143\) | 3.49208 | − | 13.0326i | 0.292022 | − | 1.08984i | ||||
\(144\) | −1.43003 | + | 6.61773i | −0.119170 | + | 0.551477i | ||||
\(145\) | 7.41525 | − | 10.5049i | 0.615803 | − | 0.872384i | ||||
\(146\) | 5.33625 | + | 3.08088i | 0.441631 | + | 0.254976i | ||||
\(147\) | −10.2727 | + | 6.43987i | −0.847277 | + | 0.531151i | ||||
\(148\) | −8.01621 | − | 2.14794i | −0.658929 | − | 0.176559i | ||||
\(149\) | 14.3671 | 1.17700 | 0.588501 | − | 0.808497i | \(-0.299718\pi\) | ||||
0.588501 | + | 0.808497i | \(0.299718\pi\) | |||||||
\(150\) | −3.29650 | − | 3.47770i | −0.269158 | − | 0.283953i | ||||
\(151\) | 11.4355 | 0.930607 | 0.465303 | − | 0.885151i | \(-0.345945\pi\) | ||||
0.465303 | + | 0.885151i | \(0.345945\pi\) | |||||||
\(152\) | −0.717627 | − | 2.67822i | −0.0582072 | − | 0.217232i | ||||
\(153\) | 0.343659 | + | 0.533125i | 0.0277832 | + | 0.0431006i | ||||
\(154\) | 5.96608 | − | 1.22358i | 0.480761 | − | 0.0985989i | ||||
\(155\) | −13.3881 | + | 18.9664i | −1.07536 | + | 1.52342i | ||||
\(156\) | −3.85536 | − | 8.69881i | −0.308676 | − | 0.696463i | ||||
\(157\) | 16.0915 | − | 4.31171i | 1.28424 | − | 0.344112i | 0.448773 | − | 0.893646i | \(-0.351861\pi\) |
0.835471 | + | 0.549534i | \(0.185195\pi\) | |||||||
\(158\) | 7.31499 | − | 1.96004i | 0.581949 | − | 0.155933i | ||||
\(159\) | 7.02469 | − | 9.63438i | 0.557094 | − | 0.764056i | ||||
\(160\) | −2.02740 | − | 11.7591i | −0.160280 | − | 0.929635i | ||||
\(161\) | 0.159078 | − | 0.477929i | 0.0125371 | − | 0.0376660i | ||||
\(162\) | 0.812235 | − | 4.91309i | 0.0638152 | − | 0.386009i | ||||
\(163\) | 3.05996 | + | 11.4199i | 0.239675 | + | 0.894479i | 0.975986 | + | 0.217835i | \(0.0698995\pi\) |
−0.736311 | + | 0.676644i | \(0.763434\pi\) | |||||||
\(164\) | 6.63782 | 0.518327 | ||||||||
\(165\) | 7.14268 | − | 14.4429i | 0.556057 | − | 1.12438i | ||||
\(166\) | −2.79794 | −0.217162 | ||||||||
\(167\) | 20.8814 | + | 5.59515i | 1.61585 | + | 0.432966i | 0.949779 | − | 0.312923i | \(-0.101308\pi\) |
0.666071 | + | 0.745888i | \(0.267975\pi\) | |||||||
\(168\) | 5.95839 | − | 7.22637i | 0.459700 | − | 0.557526i | ||||
\(169\) | −2.14940 | − | 1.24095i | −0.165338 | − | 0.0954580i | ||||
\(170\) | −0.213709 | − | 0.150854i | −0.0163908 | − | 0.0115700i | ||||
\(171\) | −1.24456 | − | 3.87487i | −0.0951739 | − | 0.296319i | ||||
\(172\) | 1.03278 | − | 3.85439i | 0.0787489 | − | 0.293895i | ||||
\(173\) | 5.76231 | − | 21.5052i | 0.438100 | − | 1.63501i | −0.295436 | − | 0.955362i | \(-0.595465\pi\) |
0.733537 | − | 0.679650i | \(-0.237868\pi\) | |||||||
\(174\) | −5.03833 | + | 2.23302i | −0.381955 | + | 0.169284i | ||||
\(175\) | −3.68066 | − | 12.7064i | −0.278231 | − | 0.960514i | ||||
\(176\) | 8.13108 | − | 4.69448i | 0.612903 | − | 0.353860i | ||||
\(177\) | −2.00636 | + | 1.61912i | −0.150808 | + | 0.121700i | ||||
\(178\) | 6.42023 | − | 6.42023i | 0.481217 | − | 0.481217i | ||||
\(179\) | −11.6352 | − | 20.1527i | −0.869653 | − | 1.50628i | −0.862352 | − | 0.506310i | \(-0.831009\pi\) |
−0.00730111 | − | 0.999973i | \(-0.502324\pi\) | |||||||
\(180\) | −2.47650 | − | 11.0895i | −0.184588 | − | 0.826565i | ||||
\(181\) | −18.7215 | −1.39156 | −0.695778 | − | 0.718257i | \(-0.744940\pi\) | ||||
−0.695778 | + | 0.718257i | \(0.744940\pi\) | |||||||
\(182\) | −0.282393 | + | 4.73931i | −0.0209324 | + | 0.351301i | ||||
\(183\) | 1.58554 | + | 10.1213i | 0.117206 | + | 0.748191i | ||||
\(184\) | 0.389113i | 0.0286858i | ||||||||
\(185\) | 10.7963 | − | 1.86141i | 0.793759 | − | 0.136854i | ||||
\(186\) | 9.09661 | − | 4.03167i | 0.666996 | − | 0.295616i | ||||
\(187\) | 0.227658 | − | 0.849630i | 0.0166480 | − | 0.0621311i | ||||
\(188\) | 11.5286 | + | 11.5286i | 0.840808 | + | 0.840808i | ||||
\(189\) | 8.21607 | − | 11.0225i | 0.597631 | − | 0.801771i | ||||
\(190\) | 1.07399 | + | 1.28986i | 0.0779157 | + | 0.0935760i | ||||
\(191\) | 14.9177 | − | 8.61271i | 1.07940 | − | 0.623194i | 0.148668 | − | 0.988887i | \(-0.452501\pi\) |
0.930735 | + | 0.365693i | \(0.119168\pi\) | |||||||
\(192\) | 0.973179 | − | 2.52247i | 0.0702331 | − | 0.182044i | ||||
\(193\) | 4.21989 | + | 15.7489i | 0.303755 | + | 1.13363i | 0.934012 | + | 0.357242i | \(0.116283\pi\) |
−0.630257 | + | 0.776386i | \(0.717051\pi\) | |||||||
\(194\) | −2.64953 | −0.190225 | ||||||||
\(195\) | 9.43431 | + | 8.29248i | 0.675605 | + | 0.593837i | ||||
\(196\) | 10.8998 | − | 4.66716i | 0.778554 | − | 0.333369i | ||||
\(197\) | −0.453336 | + | 0.453336i | −0.0322988 | + | 0.0322988i | −0.723072 | − | 0.690773i | \(-0.757270\pi\) |
0.690773 | + | 0.723072i | \(0.257270\pi\) | |||||||
\(198\) | −5.80429 | + | 3.74152i | −0.412493 | + | 0.265898i | ||||
\(199\) | −6.39736 | + | 3.69352i | −0.453497 | + | 0.261827i | −0.709306 | − | 0.704901i | \(-0.750992\pi\) |
0.255809 | + | 0.966727i | \(0.417658\pi\) | |||||||
\(200\) | 5.79771 | + | 8.41537i | 0.409960 | + | 0.595057i | ||||
\(201\) | −20.0211 | − | 2.13852i | −1.41218 | − | 0.150839i | ||||
\(202\) | 0.754546 | − | 2.81601i | 0.0530897 | − | 0.198133i | ||||
\(203\) | −15.1873 | − | 0.904942i | −1.06594 | − | 0.0635145i | ||||
\(204\) | −0.251341 | − | 0.567098i | −0.0175974 | − | 0.0397048i | ||||
\(205\) | −7.95568 | + | 3.67306i | −0.555649 | + | 0.256538i | ||||
\(206\) | 0.183908 | − | 0.106180i | 0.0128135 | − | 0.00739788i | ||||
\(207\) | 0.0279640 | + | 0.570466i | 0.00194363 | + | 0.0396501i | ||||
\(208\) | 1.89436 | + | 7.06985i | 0.131350 | + | 0.490206i | ||||
\(209\) | −2.82192 | + | 4.88771i | −0.195196 | + | 0.338090i | ||||
\(210\) | −1.44108 | + | 5.48353i | −0.0994439 | + | 0.378399i | ||||
\(211\) | −4.27968 | − | 7.41262i | −0.294625 | − | 0.510306i | 0.680272 | − | 0.732959i | \(-0.261862\pi\) |
−0.974898 | + | 0.222653i | \(0.928528\pi\) | |||||||
\(212\) | −8.24517 | + | 8.24517i | −0.566281 | + | 0.566281i | ||||
\(213\) | −5.42405 | + | 14.0591i | −0.371650 | + | 0.963312i | ||||
\(214\) | 8.78203i | 0.600327i | ||||||||
\(215\) | 0.895013 | + | 5.19113i | 0.0610394 | + | 0.354032i | ||||
\(216\) | −3.33295 | + | 10.0835i | −0.226779 | + | 0.686099i | ||||
\(217\) | 27.4205 | + | 1.63386i | 1.86142 | + | 0.110913i | ||||
\(218\) | 6.05535 | − | 1.62253i | 0.410120 | − | 0.109891i | ||||
\(219\) | −15.5855 | − | 11.3639i | −1.05317 | − | 0.767898i | ||||
\(220\) | −9.08694 | + | 12.8731i | −0.612641 | + | 0.867905i | ||||
\(221\) | 0.593835 | + | 0.342851i | 0.0399457 | + | 0.0230626i | ||||
\(222\) | −4.38074 | − | 1.69011i | −0.294016 | − | 0.113433i | ||||
\(223\) | 0.296866 | + | 1.10792i | 0.0198796 | + | 0.0741916i | 0.975153 | − | 0.221532i | \(-0.0711058\pi\) |
−0.955273 | + | 0.295724i | \(0.904439\pi\) | |||||||
\(224\) | −10.5596 | + | 9.37200i | −0.705545 | + | 0.626193i | ||||
\(225\) | 9.10460 | + | 11.9208i | 0.606974 | + | 0.794722i | ||||
\(226\) | −2.07073 | + | 3.58661i | −0.137743 | + | 0.238578i | ||||
\(227\) | −2.81072 | + | 2.81072i | −0.186554 | + | 0.186554i | −0.794205 | − | 0.607651i | \(-0.792112\pi\) |
0.607651 | + | 0.794205i | \(0.292112\pi\) | |||||||
\(228\) | 0.615977 | + | 3.93212i | 0.0407941 | + | 0.260411i | ||||
\(229\) | 11.1653i | 0.737824i | 0.929464 | + | 0.368912i | \(0.120270\pi\) | ||||
−0.929464 | + | 0.368912i | \(0.879730\pi\) | |||||||
\(230\) | −0.0987357 | − | 0.213857i | −0.00651044 | − | 0.0141013i | ||||
\(231\) | −18.9771 | + | 1.82502i | −1.24860 | + | 0.120078i | ||||
\(232\) | 11.3525 | − | 3.04190i | 0.745330 | − | 0.199711i | ||||
\(233\) | −7.12669 | + | 1.90959i | −0.466885 | + | 0.125101i | −0.484589 | − | 0.874742i | \(-0.661031\pi\) |
0.0177044 | + | 0.999843i | \(0.494364\pi\) | |||||||
\(234\) | −1.64625 | − | 5.12552i | −0.107619 | − | 0.335066i | ||||
\(235\) | −20.1968 | − | 7.43806i | −1.31749 | − | 0.485205i | ||||
\(236\) | 2.18353 | − | 1.26066i | 0.142136 | − | 0.0820620i | ||||
\(237\) | −23.4206 | + | 3.66890i | −1.52133 | + | 0.238321i | ||||
\(238\) | −0.0184100 | + | 0.308968i | −0.00119334 | + | 0.0200274i | ||||
\(239\) | −3.19792 | − | 5.53896i | −0.206856 | − | 0.358285i | 0.743866 | − | 0.668328i | \(-0.232990\pi\) |
−0.950723 | + | 0.310043i | \(0.899657\pi\) | |||||||
\(240\) | 0.561846 | + | 8.72257i | 0.0362670 | + | 0.563039i | ||||
\(241\) | 4.30578 | 0.277360 | 0.138680 | − | 0.990337i | \(-0.455714\pi\) | ||||
0.138680 | + | 0.990337i | \(0.455714\pi\) | |||||||
\(242\) | 3.37117 | + | 0.903303i | 0.216707 | + | 0.0580665i | ||||
\(243\) | −4.16166 | + | 15.0227i | −0.266971 | + | 0.963705i | ||||
\(244\) | − | 10.0188i | − | 0.641389i | ||||||
\(245\) | −10.4812 | + | 11.6252i | −0.669618 | + | 0.742706i | ||||
\(246\) | 3.73435 | + | 0.398878i | 0.238094 | + | 0.0254315i | ||||
\(247\) | −3.11107 | − | 3.11107i | −0.197952 | − | 0.197952i | ||||
\(248\) | −20.4968 | + | 5.49210i | −1.30155 | + | 0.348749i | ||||
\(249\) | 8.70900 | + | 0.930235i | 0.551911 | + | 0.0589512i | ||||
\(250\) | −5.32179 | − | 3.15395i | −0.336579 | − | 0.199473i | ||||
\(251\) | 3.81624i | 0.240879i | 0.992721 | + | 0.120439i | \(0.0384303\pi\) | ||||
−0.992721 | + | 0.120439i | \(0.961570\pi\) | |||||||
\(252\) | −9.60633 | + | 9.40603i | −0.605142 | + | 0.592524i | ||||
\(253\) | 0.560059 | − | 0.560059i | 0.0352106 | − | 0.0352106i | ||||
\(254\) | −1.40105 | − | 2.42669i | −0.0879097 | − | 0.152264i | ||||
\(255\) | 0.615047 | + | 0.540608i | 0.0385157 | + | 0.0338542i | ||||
\(256\) | 1.63065 | − | 2.82436i | 0.101915 | − | 0.176523i | ||||
\(257\) | −7.45540 | + | 7.45540i | −0.465055 | + | 0.465055i | −0.900308 | − | 0.435253i | \(-0.856659\pi\) |
0.435253 | + | 0.900308i | \(0.356659\pi\) | |||||||
\(258\) | 0.812647 | − | 2.10637i | 0.0505932 | − | 0.131137i | ||||
\(259\) | −8.60467 | − | 9.69507i | −0.534668 | − | 0.602422i | ||||
\(260\) | −7.85999 | − | 9.43977i | −0.487456 | − | 0.585430i | ||||
\(261\) | 16.4250 | − | 5.27549i | 1.01668 | − | 0.326545i | ||||
\(262\) | 0.0811603 | − | 0.302895i | 0.00501410 | − | 0.0187129i | ||||
\(263\) | 0.822877 | + | 0.822877i | 0.0507408 | + | 0.0507408i | 0.732022 | − | 0.681281i | \(-0.238577\pi\) |
−0.681281 | + | 0.732022i | \(0.738577\pi\) | |||||||
\(264\) | 13.4643 | − | 5.96744i | 0.828669 | − | 0.367270i | ||||
\(265\) | 5.31965 | − | 14.4446i | 0.326784 | − | 0.887327i | ||||
\(266\) | 0.627196 | − | 1.88433i | 0.0384559 | − | 0.115536i | ||||
\(267\) | −22.1185 | + | 17.8494i | −1.35363 | + | 1.09236i | ||||
\(268\) | 19.0200 | + | 5.09639i | 1.16183 | + | 0.311312i | ||||
\(269\) | 1.27291 | + | 2.20474i | 0.0776106 | + | 0.134425i | 0.902219 | − | 0.431279i | \(-0.141938\pi\) |
−0.824608 | + | 0.565705i | \(0.808604\pi\) | |||||||
\(270\) | −0.726861 | − | 6.38764i | −0.0442354 | − | 0.388740i | ||||
\(271\) | −12.4233 | + | 21.5178i | −0.754661 | + | 1.30711i | 0.190882 | + | 0.981613i | \(0.438865\pi\) |
−0.945543 | + | 0.325498i | \(0.894468\pi\) | |||||||
\(272\) | 0.123498 | + | 0.460902i | 0.00748818 | + | 0.0279463i | ||||
\(273\) | 2.45467 | − | 14.6579i | 0.148564 | − | 0.887137i | ||||
\(274\) | −0.0291136 | + | 0.0168087i | −0.00175881 | + | 0.00101545i | ||||
\(275\) | 3.76765 | − | 20.4572i | 0.227198 | − | 1.23362i | ||||
\(276\) | 0.0593233 | − | 0.555395i | 0.00357085 | − | 0.0334308i | ||||
\(277\) | 11.5032 | + | 11.5032i | 0.691161 | + | 0.691161i | 0.962487 | − | 0.271327i | \(-0.0874624\pi\) |
−0.271327 | + | 0.962487i | \(0.587462\pi\) | |||||||
\(278\) | −10.6627 | + | 2.85707i | −0.639508 | + | 0.171356i | ||||
\(279\) | −29.6549 | + | 9.52480i | −1.77539 | + | 0.570235i | ||||
\(280\) | 4.84617 | − | 11.0779i | 0.289614 | − | 0.662030i | ||||
\(281\) | −0.835061 | − | 0.482123i | −0.0498156 | − | 0.0287610i | 0.474885 | − | 0.880048i | \(-0.342490\pi\) |
−0.524701 | + | 0.851287i | \(0.675823\pi\) | |||||||
\(282\) | 5.79306 | + | 7.17860i | 0.344972 | + | 0.427480i | ||||
\(283\) | −4.26789 | − | 15.9280i | −0.253700 | − | 0.946821i | −0.968809 | − | 0.247808i | \(-0.920290\pi\) |
0.715109 | − | 0.699013i | \(-0.246377\pi\) | |||||||
\(284\) | 7.36837 | − | 12.7624i | 0.437232 | − | 0.757309i | ||||
\(285\) | −2.91412 | − | 4.37194i | −0.172618 | − | 0.258971i | ||||
\(286\) | −3.73272 | + | 6.46526i | −0.220720 | + | 0.382299i | ||||
\(287\) | 8.65481 | + | 5.70895i | 0.510877 | + | 0.336989i | ||||
\(288\) | 7.31619 | − | 14.2397i | 0.431111 | − | 0.839080i | ||||
\(289\) | −14.6837 | − | 8.47765i | −0.863748 | − | 0.498685i | ||||
\(290\) | −5.46749 | + | 4.55248i | −0.321062 | + | 0.267331i | ||||
\(291\) | 8.24705 | + | 0.880892i | 0.483451 | + | 0.0516388i | ||||
\(292\) | 13.3382 | + | 13.3382i | 0.780560 | + | 0.780560i | ||||
\(293\) | −1.59677 | + | 5.95921i | −0.0932840 | + | 0.348141i | −0.996754 | − | 0.0805113i | \(-0.974345\pi\) |
0.903470 | + | 0.428652i | \(0.141011\pi\) | |||||||
\(294\) | 6.41252 | − | 1.97070i | 0.373986 | − | 0.114934i | ||||
\(295\) | −1.91945 | + | 2.71921i | −0.111755 | + | 0.158319i | ||||
\(296\) | 8.67217 | + | 5.00688i | 0.504060 | + | 0.291019i | ||||
\(297\) | 19.3107 | − | 9.71628i | 1.12052 | − | 0.563796i | ||||
\(298\) | −7.67859 | − | 2.05747i | −0.444809 | − | 0.119186i | ||||
\(299\) | 0.308722 | + | 0.534723i | 0.0178539 | + | 0.0309238i | ||||
\(300\) | −6.99228 | − | 12.8954i | −0.403699 | − | 0.744519i | ||||
\(301\) | 4.66163 | − | 4.13734i | 0.268692 | − | 0.238472i | ||||
\(302\) | −6.11175 | − | 1.63764i | −0.351692 | − | 0.0942356i | ||||
\(303\) | −3.28488 | + | 8.51436i | −0.188711 | + | 0.489137i | ||||
\(304\) | − | 3.06164i | − | 0.175597i | ||||||
\(305\) | 5.54395 | + | 12.0079i | 0.317445 | + | 0.687572i | ||||
\(306\) | −0.107323 | − | 0.334146i | −0.00613527 | − | 0.0191018i | ||||
\(307\) | −8.86954 | − | 8.86954i | −0.506211 | − | 0.506211i | 0.407150 | − | 0.913361i | \(-0.366523\pi\) |
−0.913361 | + | 0.407150i | \(0.866523\pi\) | |||||||
\(308\) | 18.6112 | + | 1.10895i | 1.06047 | + | 0.0631884i | ||||
\(309\) | −0.607743 | + | 0.269355i | −0.0345733 | + | 0.0153231i | ||||
\(310\) | 9.87145 | − | 8.21942i | 0.560661 | − | 0.466832i | ||||
\(311\) | 18.5256 | + | 10.6958i | 1.05049 | + | 0.606502i | 0.922787 | − | 0.385311i | \(-0.125906\pi\) |
0.127705 | + | 0.991812i | \(0.459239\pi\) | |||||||
\(312\) | 1.77684 | + | 11.3426i | 0.100594 | + | 0.642146i | ||||
\(313\) | −4.89201 | − | 1.31081i | −0.276513 | − | 0.0740914i | 0.117898 | − | 0.993026i | \(-0.462385\pi\) |
−0.394411 | + | 0.918934i | \(0.629051\pi\) | |||||||
\(314\) | −9.21767 | −0.520183 | ||||||||
\(315\) | 6.30868 | − | 16.5892i | 0.355454 | − | 0.934694i | ||||
\(316\) | 23.1834 | 1.30417 | ||||||||
\(317\) | −14.4424 | − | 3.86982i | −0.811164 | − | 0.217351i | −0.170684 | − | 0.985326i | \(-0.554598\pi\) |
−0.640480 | + | 0.767975i | \(0.721264\pi\) | |||||||
\(318\) | −5.13409 | + | 4.14316i | −0.287906 | + | 0.232337i | ||||
\(319\) | −20.7182 | − | 11.9617i | −1.16000 | − | 0.669725i | ||||
\(320\) | 0.317421 | − | 3.47598i | 0.0177444 | − | 0.194313i | ||||
\(321\) | 2.91977 | − | 27.3354i | 0.162966 | − | 1.52571i | ||||
\(322\) | −0.153463 | + | 0.232650i | −0.00855214 | + | 0.0129651i | ||||
\(323\) | −0.202818 | − | 0.202818i | −0.0112851 | − | 0.0112851i | ||||
\(324\) | 6.29455 | − | 13.8844i | 0.349697 | − | 0.771358i | ||||
\(325\) | 14.6440 | + | 6.96457i | 0.812304 | + | 0.386325i | ||||
\(326\) | − | 6.54165i | − | 0.362309i | ||||||
\(327\) | −19.3876 | + | 3.03712i | −1.07214 | + | 0.167953i | ||||
\(328\) | −7.73644 | − | 2.07297i | −0.427174 | − | 0.114461i | ||||
\(329\) | 5.11637 | + | 24.9470i | 0.282075 | + | 1.37537i | ||||
\(330\) | −5.88576 | + | 6.69620i | −0.324001 | + | 0.368614i | ||||
\(331\) | −0.881636 | − | 1.52704i | −0.0484591 | − | 0.0839336i | 0.840778 | − | 0.541379i | \(-0.182098\pi\) |
−0.889238 | + | 0.457446i | \(0.848764\pi\) | |||||||
\(332\) | −8.27351 | − | 2.21688i | −0.454068 | − | 0.121667i | ||||
\(333\) | 13.0738 | + | 6.71718i | 0.716440 | + | 0.368099i | ||||
\(334\) | −10.3589 | − | 5.98071i | −0.566814 | − | 0.327250i | ||||
\(335\) | −25.6163 | + | 4.41655i | −1.39957 | + | 0.241302i | ||||
\(336\) | 8.42035 | − | 6.00468i | 0.459368 | − | 0.327582i | ||||
\(337\) | −1.77203 | + | 6.61331i | −0.0965287 | + | 0.360250i | −0.997247 | − | 0.0741541i | \(-0.976374\pi\) |
0.900718 | + | 0.434404i | \(0.143041\pi\) | |||||||
\(338\) | 0.971043 | + | 0.971043i | 0.0528178 | + | 0.0528178i | ||||
\(339\) | 7.63789 | − | 10.4754i | 0.414833 | − | 0.568945i | ||||
\(340\) | −0.512413 | − | 0.615403i | −0.0277895 | − | 0.0333749i | ||||
\(341\) | 37.4064 | + | 21.5966i | 2.02567 | + | 1.16952i | ||||
\(342\) | 0.110254 | + | 2.24918i | 0.00596183 | + | 0.121621i | ||||
\(343\) | 18.2258 | + | 3.28916i | 0.984103 | + | 0.177598i | ||||
\(344\) | −2.40743 | + | 4.16980i | −0.129800 | + | 0.224820i | ||||
\(345\) | 0.236228 | + | 0.698488i | 0.0127181 | + | 0.0376053i | ||||
\(346\) | −6.15939 | + | 10.6684i | −0.331131 | + | 0.573536i | ||||
\(347\) | −6.65659 | − | 24.8427i | −0.357345 | − | 1.33363i | −0.877508 | − | 0.479561i | \(-0.840796\pi\) |
0.520164 | − | 0.854067i | \(-0.325871\pi\) | |||||||
\(348\) | −16.6676 | + | 2.61103i | −0.893478 | + | 0.139966i | ||||
\(349\) | −5.96278 | − | 3.44261i | −0.319180 | − | 0.184279i | 0.331847 | − | 0.943333i | \(-0.392328\pi\) |
−0.651027 | + | 0.759054i | \(0.725662\pi\) | |||||||
\(350\) | 0.147501 | + | 7.31810i | 0.00788425 | + | 0.391169i | ||||
\(351\) | 3.42011 | + | 16.5013i | 0.182552 | + | 0.880772i | ||||
\(352\) | −21.4443 | + | 5.74598i | −1.14298 | + | 0.306262i | ||||
\(353\) | −4.73227 | − | 4.73227i | −0.251874 | − | 0.251874i | 0.569865 | − | 0.821738i | \(-0.306996\pi\) |
−0.821738 | + | 0.569865i | \(0.806996\pi\) | |||||||
\(354\) | 1.30418 | − | 0.578020i | 0.0693164 | − | 0.0307214i | ||||
\(355\) | −1.76916 | + | 19.3735i | −0.0938971 | + | 1.02824i | ||||
\(356\) | 24.0715 | − | 13.8977i | 1.27579 | − | 0.736577i | ||||
\(357\) | 0.160027 | − | 0.955587i | 0.00846950 | − | 0.0505750i | ||||
\(358\) | 3.33247 | + | 12.4369i | 0.176126 | + | 0.657313i | ||||
\(359\) | 13.4343 | − | 23.2689i | 0.709035 | − | 1.22808i | −0.256181 | − | 0.966629i | \(-0.582464\pi\) |
0.965216 | − | 0.261456i | \(-0.0842025\pi\) | |||||||
\(360\) | −0.576842 | + | 13.6983i | −0.0304022 | + | 0.721966i | ||||
\(361\) | −8.57980 | − | 14.8607i | −0.451569 | − | 0.782140i | ||||
\(362\) | 10.0058 | + | 2.68104i | 0.525892 | + | 0.140912i | ||||
\(363\) | −10.1929 | − | 3.93248i | −0.534991 | − | 0.206402i | ||||
\(364\) | −4.59011 | + | 13.7904i | −0.240587 | + | 0.722813i | ||||
\(365\) | −23.3671 | − | 8.60561i | −1.22309 | − | 0.450438i | ||||
\(366\) | 0.602047 | − | 5.63646i | 0.0314695 | − | 0.294623i | ||||
\(367\) | 1.29625 | + | 1.29625i | 0.0676638 | + | 0.0676638i | 0.740129 | − | 0.672465i | \(-0.234764\pi\) |
−0.672465 | + | 0.740129i | \(0.734764\pi\) | |||||||
\(368\) | −0.111205 | + | 0.415022i | −0.00579695 | + | 0.0216345i | ||||
\(369\) | −11.4911 | − | 2.48313i | −0.598203 | − | 0.129267i | ||||
\(370\) | −6.03670 | − | 0.551262i | −0.313833 | − | 0.0286587i | ||||
\(371\) | −17.8419 | + | 3.65919i | −0.926307 | + | 0.189976i | ||||
\(372\) | 30.0931 | − | 4.71416i | 1.56025 | − | 0.244418i | ||||
\(373\) | 9.74645 | − | 9.74645i | 0.504652 | − | 0.504652i | −0.408228 | − | 0.912880i | \(-0.633853\pi\) |
0.912880 | + | 0.408228i | \(0.133853\pi\) | |||||||
\(374\) | −0.243346 | + | 0.421487i | −0.0125831 | + | 0.0217946i | ||||
\(375\) | 15.5162 | + | 11.5865i | 0.801255 | + | 0.598323i | ||||
\(376\) | −9.83632 | − | 17.0370i | −0.507270 | − | 0.878617i | ||||
\(377\) | 13.1873 | − | 13.1873i | 0.679180 | − | 0.679180i | ||||
\(378\) | −5.96962 | + | 4.71445i | −0.307044 | + | 0.242485i | ||||
\(379\) | 1.02403i | 0.0526010i | 0.999654 | + | 0.0263005i | \(0.00837268\pi\) | ||||
−0.999654 | + | 0.0263005i | \(0.991627\pi\) | |||||||
\(380\) | 2.15381 | + | 4.66506i | 0.110488 | + | 0.239312i | ||||
\(381\) | 3.55417 | + | 8.01924i | 0.182086 | + | 0.410838i | ||||
\(382\) | −9.20622 | + | 2.46680i | −0.471031 | + | 0.126212i | ||||
\(383\) | 2.43657 | + | 2.43657i | 0.124503 | + | 0.124503i | 0.766613 | − | 0.642110i | \(-0.221941\pi\) |
−0.642110 | + | 0.766613i | \(0.721941\pi\) | |||||||
\(384\) | −11.7723 | + | 16.1457i | −0.600753 | + | 0.823934i | ||||
\(385\) | −22.9198 | + | 8.96943i | −1.16810 | + | 0.457124i | ||||
\(386\) | − | 9.02138i | − | 0.459176i | ||||||
\(387\) | −3.22979 | + | 6.28621i | −0.164179 | + | 0.319546i | ||||
\(388\) | −7.83466 | − | 2.09929i | −0.397745 | − | 0.106575i | ||||
\(389\) | 16.4610 | 0.834606 | 0.417303 | − | 0.908768i | \(-0.362975\pi\) | ||||
0.417303 | + | 0.908768i | \(0.362975\pi\) | |||||||
\(390\) | −3.85468 | − | 5.78301i | −0.195189 | − | 0.292834i | ||||
\(391\) | 0.0201264 | + | 0.0348600i | 0.00101784 | + | 0.00176294i | ||||
\(392\) | −14.1613 | + | 2.03565i | −0.715254 | + | 0.102816i | ||||
\(393\) | −0.353327 | + | 0.915820i | −0.0178230 | + | 0.0461970i | ||||
\(394\) | 0.307208 | − | 0.177367i | 0.0154769 | − | 0.00893562i | ||||
\(395\) | −27.7862 | + | 12.8286i | −1.39807 | + | 0.645477i | ||||
\(396\) | −20.1278 | + | 6.46479i | −1.01146 | + | 0.324868i | ||||
\(397\) | 24.3924 | − | 6.53592i | 1.22422 | − | 0.328029i | 0.411893 | − | 0.911232i | \(-0.364868\pi\) |
0.812326 | + | 0.583203i | \(0.198201\pi\) | |||||||
\(398\) | 3.94804 | − | 1.05787i | 0.197897 | − | 0.0530265i | ||||
\(399\) | −2.57872 | + | 5.65672i | −0.129098 | + | 0.283190i | ||||
\(400\) | 3.77871 | + | 10.6326i | 0.188936 | + | 0.531632i | ||||
\(401\) | 6.22656i | 0.310939i | 0.987841 | + | 0.155470i | \(0.0496891\pi\) | ||||
−0.987841 | + | 0.155470i | \(0.950311\pi\) | |||||||
\(402\) | 10.3941 | + | 4.01010i | 0.518413 | + | 0.200006i | ||||
\(403\) | −23.8094 | + | 23.8094i | −1.18603 | + | 1.18603i | ||||
\(404\) | 4.46239 | − | 7.72908i | 0.222012 | − | 0.384536i | ||||
\(405\) | 0.138756 | + | 20.1241i | 0.00689485 | + | 0.999976i | ||||
\(406\) | 7.98736 | + | 2.65858i | 0.396406 | + | 0.131943i | ||||
\(407\) | −5.27553 | − | 19.6886i | −0.261498 | − | 0.975925i | ||||
\(408\) | 0.115837 | + | 0.739451i | 0.00573479 | + | 0.0366083i | ||||
\(409\) | −0.999929 | − | 0.577309i | −0.0494433 | − | 0.0285461i | 0.475075 | − | 0.879946i | \(-0.342421\pi\) |
−0.524518 | + | 0.851399i | \(0.675754\pi\) | |||||||
\(410\) | 4.77796 | − | 0.823778i | 0.235967 | − | 0.0406835i | ||||
\(411\) | 0.0962086 | − | 0.0426402i | 0.00474562 | − | 0.00210329i | ||||
\(412\) | 0.627946 | − | 0.168258i | 0.0309367 | − | 0.00828945i | ||||
\(413\) | 3.93127 | + | 0.234246i | 0.193445 | + | 0.0115265i | ||||
\(414\) | 0.0667491 | − | 0.308893i | 0.00328054 | − | 0.0151813i | ||||
\(415\) | 11.1428 | − | 1.92116i | 0.546980 | − | 0.0943060i | ||||
\(416\) | − | 17.3068i | − | 0.848536i | ||||||
\(417\) | 34.1392 | − | 5.34800i | 1.67180 | − | 0.261893i | ||||
\(418\) | 2.20815 | − | 2.20815i | 0.108004 | − | 0.108004i | ||||
\(419\) | 3.10475 | + | 5.37758i | 0.151677 | + | 0.262712i | 0.931844 | − | 0.362859i | \(-0.118199\pi\) |
−0.780167 | + | 0.625571i | \(0.784866\pi\) | |||||||
\(420\) | −8.60601 | + | 15.0730i | −0.419930 | + | 0.735486i | ||||
\(421\) | −13.9707 | + | 24.1980i | −0.680890 | + | 1.17934i | 0.293820 | + | 0.955861i | \(0.405073\pi\) |
−0.974710 | + | 0.223475i | \(0.928260\pi\) | |||||||
\(422\) | 1.22576 | + | 4.57459i | 0.0596690 | + | 0.222688i | ||||
\(423\) | −15.6451 | − | 24.2705i | −0.760690 | − | 1.18007i | ||||
\(424\) | 12.1848 | − | 7.03488i | 0.591744 | − | 0.341644i | ||||
\(425\) | 0.954681 | + | 0.454038i | 0.0463088 | + | 0.0220241i | ||||
\(426\) | 4.91226 | − | 6.73718i | 0.238000 | − | 0.326418i | ||||
\(427\) | 8.61683 | − | 13.0632i | 0.416998 | − | 0.632171i | ||||
\(428\) | −6.95823 | + | 25.9685i | −0.336339 | + | 1.25523i | ||||
\(429\) | 13.7681 | − | 18.8830i | 0.664732 | − | 0.911682i | ||||
\(430\) | 0.265060 | − | 2.90260i | 0.0127823 | − | 0.139976i | ||||
\(431\) | −11.9147 | + | 6.87893i | −0.573909 | + | 0.331347i | −0.758709 | − | 0.651430i | \(-0.774170\pi\) |
0.184800 | + | 0.982776i | \(0.440836\pi\) | |||||||
\(432\) | −6.43665 | + | 9.80243i | −0.309684 | + | 0.471619i | ||||
\(433\) | 21.0353 | − | 21.0353i | 1.01089 | − | 1.01089i | 0.0109526 | − | 0.999940i | \(-0.496514\pi\) |
0.999940 | − | 0.0109526i | \(-0.00348640\pi\) | |||||||
\(434\) | −14.4210 | − | 4.80002i | −0.692231 | − | 0.230408i | ||||
\(435\) | 18.5319 | − | 12.3525i | 0.888538 | − | 0.592256i | ||||
\(436\) | 19.1912 | 0.919093 | ||||||||
\(437\) | −0.0668469 | − | 0.249476i | −0.00319772 | − | 0.0119341i | ||||
\(438\) | 6.70240 | + | 8.30543i | 0.320253 | + | 0.396849i | ||||
\(439\) | 8.27394 | − | 4.77696i | 0.394894 | − | 0.227992i | −0.289385 | − | 0.957213i | \(-0.593451\pi\) |
0.684278 | + | 0.729221i | \(0.260117\pi\) | |||||||
\(440\) | 14.6111 | − | 12.1659i | 0.696559 | − | 0.579987i | ||||
\(441\) | −20.6151 | + | 4.00212i | −0.981672 | + | 0.190577i | ||||
\(442\) | −0.268280 | − | 0.268280i | −0.0127608 | − | 0.0127608i | ||||
\(443\) | 3.67483 | − | 13.7147i | 0.174596 | − | 0.651603i | −0.822024 | − | 0.569454i | \(-0.807155\pi\) |
0.996620 | − | 0.0821494i | \(-0.0261785\pi\) | |||||||
\(444\) | −11.6147 | − | 8.46863i | −0.551211 | − | 0.401903i | ||||
\(445\) | −21.1603 | + | 29.9770i | −1.00309 | + | 1.42104i | ||||
\(446\) | − | 0.634645i | − | 0.0300513i | ||||||
\(447\) | 23.2167 | + | 8.95709i | 1.09811 | + | 0.423656i | ||||
\(448\) | −3.69313 | + | 1.84858i | −0.174484 | + | 0.0873373i | ||||
\(449\) | −20.9399 | −0.988215 | −0.494107 | − | 0.869401i | \(-0.664505\pi\) | ||||
−0.494107 | + | 0.869401i | \(0.664505\pi\) | |||||||
\(450\) | −3.15886 | − | 7.67499i | −0.148910 | − | 0.361802i | ||||
\(451\) | 8.15155 | + | 14.1189i | 0.383842 | + | 0.664833i | ||||
\(452\) | −8.96490 | + | 8.96490i | −0.421673 | + | 0.421673i | ||||
\(453\) | 18.4793 | + | 7.12937i | 0.868231 | + | 0.334967i | ||||
\(454\) | 1.90472 | − | 1.09969i | 0.0893928 | − | 0.0516110i | ||||
\(455\) | −2.12953 | − | 19.0683i | −0.0998341 | − | 0.893933i | ||||
\(456\) | 0.510063 | − | 4.77529i | 0.0238859 | − | 0.223623i | ||||
\(457\) | 9.15292 | − | 34.1592i | 0.428156 | − | 1.59790i | −0.328779 | − | 0.944407i | \(-0.606637\pi\) |
0.756934 | − | 0.653491i | \(-0.226696\pi\) | |||||||
\(458\) | 1.59895 | − | 5.96735i | 0.0747139 | − | 0.278836i | ||||
\(459\) | 0.222966 | + | 1.07576i | 0.0104072 | + | 0.0502121i | ||||
\(460\) | −0.122517 | − | 0.710606i | −0.00571239 | − | 0.0331322i | ||||
\(461\) | −20.4251 | − | 11.7924i | −0.951292 | − | 0.549229i | −0.0578102 | − | 0.998328i | \(-0.518412\pi\) |
−0.893482 | + | 0.449099i | \(0.851745\pi\) | |||||||
\(462\) | 10.4038 | + | 1.74226i | 0.484027 | + | 0.0810572i | ||||
\(463\) | −26.9433 | − | 7.21943i | −1.25216 | − | 0.335515i | −0.428990 | − | 0.903309i | \(-0.641130\pi\) |
−0.823171 | + | 0.567794i | \(0.807797\pi\) | |||||||
\(464\) | 12.9778 | 0.602478 | ||||||||
\(465\) | −33.4591 | + | 22.3022i | −1.55163 | + | 1.03424i | ||||
\(466\) | 4.08236 | 0.189112 | ||||||||
\(467\) | −6.03101 | − | 22.5081i | −0.279082 | − | 1.04155i | −0.953056 | − | 0.302794i | \(-0.902081\pi\) |
0.673974 | − | 0.738755i | \(-0.264586\pi\) | |||||||
\(468\) | −0.806887 | − | 16.4605i | −0.0372984 | − | 0.760888i | ||||
\(469\) | 20.4162 | + | 23.0034i | 0.942733 | + | 1.06220i | ||||
\(470\) | 9.72911 | + | 6.86763i | 0.448770 | + | 0.316780i | ||||
\(471\) | 28.6913 | + | 3.06461i | 1.32203 | + | 0.141210i | ||||
\(472\) | −2.93862 | + | 0.787401i | −0.135261 | + | 0.0362431i | ||||
\(473\) | 9.46675 | − | 2.53661i | 0.435281 | − | 0.116633i | ||||
\(474\) | 13.0427 | + | 1.39313i | 0.599070 | + | 0.0639885i | ||||
\(475\) | −5.16285 | − | 4.39942i | −0.236888 | − | 0.201859i | ||||
\(476\) | −0.299241 | + | 0.899031i | −0.0137157 | + | 0.0412070i | ||||
\(477\) | 17.3581 | − | 11.1893i | 0.794772 | − | 0.512321i | ||||
\(478\) | 0.915928 | + | 3.41829i | 0.0418936 | + | 0.156349i | ||||
\(479\) | 33.8399 | 1.54619 | 0.773093 | − | 0.634292i | \(-0.218708\pi\) | ||||
0.773093 | + | 0.634292i | \(0.218708\pi\) | |||||||
\(480\) | 4.05490 | − | 20.2661i | 0.185080 | − | 0.925017i | ||||
\(481\) | 15.8898 | 0.724513 | ||||||||
\(482\) | −2.30125 | − | 0.616617i | −0.104819 | − | 0.0280862i | ||||
\(483\) | 0.555024 | − | 0.673136i | 0.0252545 | − | 0.0306288i | ||||
\(484\) | 9.25284 | + | 5.34213i | 0.420584 | + | 0.242824i | ||||
\(485\) | 10.5518 | − | 1.81925i | 0.479132 | − | 0.0826081i | ||||
\(486\) | 4.37557 | − | 7.43296i | 0.198480 | − | 0.337166i | ||||
\(487\) | −7.44384 | + | 27.7808i | −0.337313 | + | 1.25887i | 0.564027 | + | 0.825756i | \(0.309251\pi\) |
−0.901340 | + | 0.433112i | \(0.857415\pi\) | |||||||
\(488\) | −3.12885 | + | 11.6770i | −0.141636 | + | 0.528594i | ||||
\(489\) | −2.17491 | + | 20.3619i | −0.0983528 | + | 0.920795i | ||||
\(490\) | 7.26653 | − | 4.71216i | 0.328268 | − | 0.212874i | ||||
\(491\) | 13.5453 | − | 7.82036i | 0.611289 | − | 0.352928i | −0.162181 | − | 0.986761i | \(-0.551853\pi\) |
0.773470 | + | 0.633833i | \(0.218519\pi\) | |||||||
\(492\) | 10.7264 | + | 4.13830i | 0.483585 | + | 0.186569i | ||||
\(493\) | 0.859714 | − | 0.859714i | 0.0387196 | − | 0.0387196i | ||||
\(494\) | 1.21720 | + | 2.10825i | 0.0547644 | + | 0.0948547i | ||||
\(495\) | 20.5466 | − | 18.8861i | 0.923500 | − | 0.848865i | ||||
\(496\) | −23.4311 | −1.05209 | ||||||||
\(497\) | 20.5838 | − | 10.3031i | 0.923310 | − | 0.462159i | ||||
\(498\) | −4.52136 | − | 1.74436i | −0.202607 | − | 0.0781665i | ||||
\(499\) | − | 21.7578i | − | 0.974015i | −0.873398 | − | 0.487007i | \(-0.838089\pi\) | ||
0.873398 | − | 0.487007i | \(-0.161911\pi\) | |||||||
\(500\) | −13.2376 | − | 13.5428i | −0.592002 | − | 0.605653i | ||||
\(501\) | 30.2552 | + | 22.0599i | 1.35170 | + | 0.985562i | ||||
\(502\) | 0.546511 | − | 2.03961i | 0.0243920 | − | 0.0910321i | ||||
\(503\) | −19.6826 | − | 19.6826i | −0.877606 | − | 0.877606i | 0.115681 | − | 0.993286i | \(-0.463095\pi\) |
−0.993286 | + | 0.115681i | \(0.963095\pi\) | |||||||
\(504\) | 14.1337 | − | 7.96279i | 0.629567 | − | 0.354691i | ||||
\(505\) | −1.07143 | + | 11.7329i | −0.0476778 | + | 0.522105i | ||||
\(506\) | −0.379531 | + | 0.219122i | −0.0168722 | + | 0.00974117i | ||||
\(507\) | −2.69967 | − | 3.34536i | −0.119897 | − | 0.148572i | ||||
\(508\) | −2.22018 | − | 8.28581i | −0.0985044 | − | 0.367623i | ||||
\(509\) | −38.0714 | −1.68749 | −0.843743 | − | 0.536748i | \(-0.819653\pi\) | ||||
−0.843743 | + | 0.536748i | \(0.819653\pi\) | |||||||
\(510\) | −0.251296 | − | 0.377010i | −0.0111276 | − | 0.0166943i | ||||
\(511\) | 5.91948 | + | 28.8629i | 0.261862 | + | 1.27682i | ||||
\(512\) | 15.0391 | − | 15.0391i | 0.664640 | − | 0.664640i | ||||
\(513\) | 0.404605 | − | 7.03754i | 0.0178638 | − | 0.310715i | ||||
\(514\) | 5.05224 | − | 2.91691i | 0.222845 | − | 0.128659i | ||||
\(515\) | −0.659510 | + | 0.549139i | −0.0290615 | + | 0.0241979i | ||||
\(516\) | 4.07193 | − | 5.58466i | 0.179257 | − | 0.245851i | ||||
\(517\) | −10.3641 | + | 38.6794i | −0.455813 | + | 1.70112i | ||||
\(518\) | 3.21041 | + | 6.41383i | 0.141057 | + | 0.281807i | ||||
\(519\) | 22.7189 | − | 31.1591i | 0.997250 | − | 1.36773i | ||||
\(520\) | 6.21287 | + | 13.4568i | 0.272452 | + | 0.590119i | ||||
\(521\) | −11.2750 | + | 6.50964i | −0.493968 | + | 0.285192i | −0.726219 | − | 0.687463i | \(-0.758724\pi\) |
0.232251 | + | 0.972656i | \(0.425391\pi\) | |||||||
\(522\) | −9.53389 | + | 0.467347i | −0.417287 | + | 0.0204552i | ||||
\(523\) | 4.70052 | + | 17.5426i | 0.205539 | + | 0.767083i | 0.989284 | + | 0.146001i | \(0.0466402\pi\) |
−0.783745 | + | 0.621083i | \(0.786693\pi\) | |||||||
\(524\) | 0.479982 | − | 0.831353i | 0.0209681 | − | 0.0363178i | ||||
\(525\) | 1.97394 | − | 22.8277i | 0.0861497 | − | 0.996282i | ||||
\(526\) | −0.321949 | − | 0.557633i | −0.0140377 | − | 0.0243139i | ||||
\(527\) | −1.55220 | + | 1.55220i | −0.0676148 | + | 0.0676148i | ||||
\(528\) | 16.0662 | − | 2.51682i | 0.699192 | − | 0.109530i | ||||
\(529\) | − | 22.9638i | − | 0.998424i | ||||||
\(530\) | −4.91168 | + | 6.95820i | −0.213350 | + | 0.302245i | ||||
\(531\) | −4.25163 | + | 1.36557i | −0.184505 | + | 0.0592606i | ||||
\(532\) | 3.34762 | − | 5.07501i | 0.145138 | − | 0.220030i | ||||
\(533\) | −12.2762 | + | 3.28939i | −0.531740 | + | 0.142479i | ||||
\(534\) | 14.3775 | − | 6.37217i | 0.622174 | − | 0.275751i | ||||
\(535\) | −6.03003 | − | 34.9745i | −0.260701 | − | 1.51208i | ||||
\(536\) | −20.5764 | − | 11.8798i | −0.888764 | − | 0.513128i | ||||
\(537\) | −6.23787 | − | 39.8198i | −0.269184 | − | 1.71835i | ||||
\(538\) | −0.364578 | − | 1.36062i | −0.0157181 | − | 0.0586607i | ||||
\(539\) | 23.3126 | + | 17.4527i | 1.00415 | + | 0.751742i | ||||
\(540\) | 2.91176 | − | 19.4642i | 0.125302 | − | 0.837604i | ||||
\(541\) | −2.48823 | + | 4.30973i | −0.106977 | + | 0.185290i | −0.914544 | − | 0.404486i | \(-0.867451\pi\) |
0.807567 | + | 0.589776i | \(0.200784\pi\) | |||||||
\(542\) | 9.72118 | − | 9.72118i | 0.417560 | − | 0.417560i | ||||
\(543\) | −30.2531 | − | 11.6718i | −1.29828 | − | 0.500883i | ||||
\(544\) | − | 1.12827i | − | 0.0483744i | ||||||
\(545\) | −23.0014 | + | 10.6195i | −0.985272 | + | 0.454890i | ||||
\(546\) | −3.41103 | + | 7.48247i | −0.145978 | + | 0.320220i | ||||
\(547\) | −38.2138 | + | 10.2394i | −1.63391 | + | 0.437804i | −0.955044 | − | 0.296463i | \(-0.904193\pi\) |
−0.678861 | + | 0.734267i | \(0.737526\pi\) | |||||||
\(548\) | −0.0994067 | + | 0.0266360i | −0.00424644 | + | 0.00113783i | ||||
\(549\) | −3.74792 | + | 17.3441i | −0.159957 | + | 0.740230i | ||||
\(550\) | −4.94325 | + | 10.3939i | −0.210781 | + | 0.443197i | ||||
\(551\) | −6.75599 | + | 3.90057i | −0.287815 | + | 0.166170i | ||||
\(552\) | −0.242590 | + | 0.628791i | −0.0103253 | + | 0.0267631i | ||||
\(553\) | 30.2280 | + | 19.9392i | 1.28542 | + | 0.847901i | ||||
\(554\) | −4.50061 | − | 7.79529i | −0.191213 | − | 0.331190i | ||||
\(555\) | 18.6068 | + | 3.72291i | 0.789816 | + | 0.158029i | ||||
\(556\) | −33.7934 | −1.43316 | ||||||||
\(557\) | −1.08258 | − | 0.290076i | −0.0458704 | − | 0.0122909i | 0.235811 | − | 0.971799i | \(-0.424225\pi\) |
−0.281681 | + | 0.959508i | \(0.590892\pi\) | |||||||
\(558\) | 17.2133 | − | 0.843786i | 0.728695 | − | 0.0357203i | ||||
\(559\) | 7.64022i | 0.323147i | ||||||||
\(560\) | 8.33480 | − | 10.4305i | 0.352209 | − | 0.440769i | ||||
\(561\) | 0.897581 | − | 1.23103i | 0.0378959 | − | 0.0519743i | ||||
\(562\) | 0.377259 | + | 0.377259i | 0.0159137 | + | 0.0159137i | ||||
\(563\) | 10.5121 | − | 2.81671i | 0.443033 | − | 0.118710i | −0.0304049 | − | 0.999538i | \(-0.509680\pi\) |
0.473437 | + | 0.880827i | \(0.343013\pi\) | |||||||
\(564\) | 11.4423 | + | 25.8171i | 0.481807 | + | 1.08710i | ||||
\(565\) | 5.78401 | − | 15.7055i | 0.243335 | − | 0.660736i | ||||
\(566\) | 9.12399i | 0.383510i | ||||||||
\(567\) | 20.1487 | − | 12.6897i | 0.846167 | − | 0.532917i | ||||
\(568\) | −12.5736 | + | 12.5736i | −0.527575 | + | 0.527575i | ||||
\(569\) | −0.196310 | − | 0.340019i | −0.00822976 | − | 0.0142544i | 0.861881 | − | 0.507110i | \(-0.169286\pi\) |
−0.870111 | + | 0.492856i | \(0.835953\pi\) | |||||||
\(570\) | 0.931376 | + | 2.75393i | 0.0390110 | + | 0.115349i | ||||
\(571\) | 2.54912 | − | 4.41521i | 0.106677 | − | 0.184771i | −0.807745 | − | 0.589532i | \(-0.799312\pi\) |
0.914422 | + | 0.404761i | \(0.132645\pi\) | |||||||
\(572\) | −16.1602 | + | 16.1602i | −0.675693 | + | 0.675693i | ||||
\(573\) | 29.4758 | − | 4.61747i | 1.23137 | − | 0.192898i | ||||
\(574\) | −3.80805 | − | 4.29061i | −0.158945 | − | 0.179086i | ||||
\(575\) | 0.540057 | + | 0.783892i | 0.0225219 | + | 0.0326906i | ||||
\(576\) | 3.14523 | − | 3.46948i | 0.131051 | − | 0.144562i | ||||
\(577\) | −4.32587 | + | 16.1444i | −0.180088 | + | 0.672099i | 0.815541 | + | 0.578700i | \(0.196440\pi\) |
−0.995629 | + | 0.0933986i | \(0.970227\pi\) | |||||||
\(578\) | 6.63373 | + | 6.63373i | 0.275927 | + | 0.275927i | ||||
\(579\) | −2.99935 | + | 28.0804i | −0.124649 | + | 1.16698i | ||||
\(580\) | −19.7744 | + | 9.12966i | −0.821088 | + | 0.379088i | ||||
\(581\) | −8.88086 | − | 10.0063i | −0.368440 | − | 0.415129i | ||||
\(582\) | −4.28153 | − | 1.65183i | −0.177475 | − | 0.0684706i | ||||
\(583\) | −27.6632 | − | 7.41234i | −1.14569 | − | 0.306988i | ||||
\(584\) | −11.3803 | − | 19.7113i | −0.470921 | − | 0.815659i | ||||
\(585\) | 10.0756 | + | 19.2820i | 0.416573 | + | 0.797214i | ||||
\(586\) | 1.70680 | − | 2.95626i | 0.0705072 | − | 0.122122i | ||||
\(587\) | 10.8701 | + | 40.5679i | 0.448659 | + | 1.67442i | 0.706091 | + | 0.708122i | \(0.250457\pi\) |
−0.257432 | + | 0.966297i | \(0.582876\pi\) | |||||||
\(588\) | 20.5233 | − | 0.746555i | 0.846365 | − | 0.0307874i | ||||
\(589\) | 12.1978 | − | 7.04241i | 0.502602 | − | 0.290177i | ||||
\(590\) | 1.41527 | − | 1.17842i | 0.0582657 | − | 0.0485147i | ||||
\(591\) | −1.01520 | + | 0.449943i | −0.0417598 | + | 0.0185082i | ||||
\(592\) | 7.81868 | + | 7.81868i | 0.321346 | + | 0.321346i | ||||
\(593\) | −22.6062 | + | 6.05732i | −0.928326 | + | 0.248744i | −0.691141 | − | 0.722720i | \(-0.742892\pi\) |
−0.237185 | + | 0.971464i | \(0.576225\pi\) | |||||||
\(594\) | −11.7121 | + | 2.42750i | −0.480554 | + | 0.0996015i | ||||
\(595\) | −0.138830 | − | 1.24311i | −0.00569147 | − | 0.0509625i | ||||
\(596\) | −21.0754 | − | 12.1679i | −0.863282 | − | 0.498416i | ||||
\(597\) | −12.6406 | + | 1.98018i | −0.517344 | + | 0.0810434i | ||||
\(598\) | −0.0884223 | − | 0.329996i | −0.00361586 | − | 0.0134946i | ||||
\(599\) | −22.9896 | + | 39.8192i | −0.939331 | + | 1.62697i | −0.172607 | + | 0.984991i | \(0.555219\pi\) |
−0.766723 | + | 0.641978i | \(0.778114\pi\) | |||||||
\(600\) | 4.12235 | + | 17.2134i | 0.168294 | + | 0.702735i | ||||
\(601\) | 7.27308 | − | 12.5973i | 0.296675 | − | 0.513856i | −0.678698 | − | 0.734417i | \(-0.737455\pi\) |
0.975373 | + | 0.220561i | \(0.0707888\pi\) | |||||||
\(602\) | −3.08393 | + | 1.54365i | −0.125692 | + | 0.0629143i | ||||
\(603\) | −31.0201 | − | 15.9378i | −1.26323 | − | 0.649037i | ||||
\(604\) | −16.7749 | − | 9.68500i | −0.682561 | − | 0.394077i | ||||
\(605\) | −14.0460 | − | 1.28265i | −0.571049 | − | 0.0521473i | ||||
\(606\) | 2.97493 | − | 4.08013i | 0.120848 | − | 0.165744i | ||||
\(607\) | −1.66178 | − | 1.66178i | −0.0674496 | − | 0.0674496i | 0.672577 | − | 0.740027i | \(-0.265187\pi\) |
−0.740027 | + | 0.672577i | \(0.765187\pi\) | |||||||
\(608\) | −1.87370 | + | 6.99275i | −0.0759886 | + | 0.283593i | ||||
\(609\) | −23.9779 | − | 10.9308i | −0.971635 | − | 0.442938i | ||||
\(610\) | −1.24337 | − | 7.21163i | −0.0503427 | − | 0.291990i | ||||
\(611\) | −27.0343 | − | 15.6083i | −1.09369 | − | 0.631443i | ||||
\(612\) | −0.0526030 | − | 1.07310i | −0.00212635 | − | 0.0433776i | ||||
\(613\) | 35.6198 | + | 9.54428i | 1.43867 | + | 0.385490i | 0.892067 | − | 0.451903i | \(-0.149255\pi\) |
0.546601 | + | 0.837393i | \(0.315921\pi\) | |||||||
\(614\) | 3.47019 | + | 6.01055i | 0.140046 | + | 0.242566i | ||||
\(615\) | −15.1460 | + | 0.975597i | −0.610745 | + | 0.0393399i | ||||
\(616\) | −21.3452 | − | 7.10471i | −0.860021 | − | 0.286257i | ||||
\(617\) | 1.63468 | + | 0.438011i | 0.0658097 | + | 0.0176337i | 0.291574 | − | 0.956548i | \(-0.405821\pi\) |
−0.225764 | + | 0.974182i | \(0.572488\pi\) | |||||||
\(618\) | 0.363385 | − | 0.0569253i | 0.0146175 | − | 0.00228987i | ||||
\(619\) | 13.3299i | 0.535774i | 0.963450 | + | 0.267887i | \(0.0863254\pi\) | ||||
−0.963450 | + | 0.267887i | \(0.913675\pi\) | |||||||
\(620\) | 35.7023 | − | 16.4834i | 1.43384 | − | 0.661990i | ||||
\(621\) | −0.310464 | + | 0.939283i | −0.0124585 | + | 0.0376921i | ||||
\(622\) | −8.36941 | − | 8.36941i | −0.335583 | − | 0.335583i | ||||
\(623\) | 43.3389 | + | 2.58236i | 1.73634 | + | 0.103460i | ||||
\(624\) | −1.34644 | + | 12.6056i | −0.0539008 | + | 0.504628i | ||||
\(625\) | 23.3597 | + | 8.90652i | 0.934387 | + | 0.356261i | ||||
\(626\) | 2.42684 | + | 1.40114i | 0.0969962 | + | 0.0560008i | ||||
\(627\) | −7.60732 | + | 6.13903i | −0.303807 | + | 0.245169i | ||||
\(628\) | −27.2566 | − | 7.30339i | −1.08766 | − | 0.291437i | ||||
\(629\) | 1.03590 | 0.0413040 | ||||||||
\(630\) | −5.74739 | + | 7.96272i | −0.228981 | + | 0.317242i | ||||
\(631\) | 25.3241 | 1.00814 | 0.504068 | − | 0.863664i | \(-0.331836\pi\) | ||||
0.504068 | + | 0.863664i | \(0.331836\pi\) | |||||||
\(632\) | −27.0205 | − | 7.24011i | −1.07482 | − | 0.287996i | ||||
\(633\) | −2.29443 | − | 14.6466i | −0.0911956 | − | 0.582151i | ||||
\(634\) | 7.16461 | + | 4.13649i | 0.284543 | + | 0.164281i | ||||
\(635\) | 7.24594 | + | 8.70231i | 0.287546 | + | 0.345341i | ||||
\(636\) | −18.4642 | + | 8.18345i | −0.732155 | + | 0.324495i | ||||
\(637\) | −17.8455 | + | 14.0330i | −0.707064 | + | 0.556007i | ||||
\(638\) | 9.35997 | + | 9.35997i | 0.370565 | + | 0.370565i | ||||
\(639\) | −17.5301 | + | 19.3373i | −0.693478 | + | 0.764971i | ||||
\(640\) | −8.91492 | + | 24.2070i | −0.352393 | + | 0.956865i | ||||
\(641\) | − | 14.2662i | − | 0.563479i | −0.959491 | − | 0.281740i | \(-0.909089\pi\) | ||
0.959491 | − | 0.281740i | \(-0.0909114\pi\) | |||||||
\(642\) | −5.47510 | + | 14.1914i | −0.216085 | + | 0.560089i | ||||
\(643\) | 29.2931 | + | 7.84906i | 1.15521 | + | 0.309537i | 0.785050 | − | 0.619433i | \(-0.212637\pi\) |
0.370157 | + | 0.928969i | \(0.379304\pi\) | |||||||
\(644\) | −0.638124 | + | 0.566354i | −0.0251456 | + | 0.0223175i | ||||
\(645\) | −1.79007 | + | 8.94663i | −0.0704839 | + | 0.352273i | ||||
\(646\) | 0.0793524 | + | 0.137442i | 0.00312208 | + | 0.00540760i | ||||
\(647\) | 34.3244 | + | 9.19718i | 1.34943 | + | 0.361579i | 0.859924 | − | 0.510422i | \(-0.170511\pi\) |
0.489505 | + | 0.872000i | \(0.337177\pi\) | |||||||
\(648\) | −11.6724 | + | 14.2167i | −0.458536 | + | 0.558484i | ||||
\(649\) | 5.36295 | + | 3.09630i | 0.210514 | + | 0.121540i | ||||
\(650\) | −6.82919 | − | 5.81937i | −0.267863 | − | 0.228255i | ||||
\(651\) | 43.2917 | + | 19.7353i | 1.69673 | + | 0.773489i | ||||
\(652\) | 5.18312 | − | 19.3437i | 0.202987 | − | 0.757556i | ||||
\(653\) | 10.4583 | + | 10.4583i | 0.409263 | + | 0.409263i | 0.881482 | − | 0.472218i | \(-0.156547\pi\) |
−0.472218 | + | 0.881482i | \(0.656547\pi\) | |||||||
\(654\) | 10.7967 | + | 1.15323i | 0.422186 | + | 0.0450949i | ||||
\(655\) | −0.115244 | + | 1.26201i | −0.00450297 | + | 0.0493107i | ||||
\(656\) | −7.65913 | − | 4.42200i | −0.299039 | − | 0.172650i | ||||
\(657\) | −18.1009 | − | 28.0802i | −0.706182 | − | 1.09551i | ||||
\(658\) | 0.838112 | − | 14.0658i | 0.0326730 | − | 0.548340i | ||||
\(659\) | 14.0213 | − | 24.2856i | 0.546192 | − | 0.946033i | −0.452339 | − | 0.891846i | \(-0.649410\pi\) |
0.998531 | − | 0.0541865i | \(-0.0172566\pi\) | |||||||
\(660\) | −22.7098 | + | 15.1372i | −0.883976 | + | 0.589216i | ||||
\(661\) | 22.9898 | − | 39.8195i | 0.894199 | − | 1.54880i | 0.0594056 | − | 0.998234i | \(-0.481079\pi\) |
0.834793 | − | 0.550564i | \(-0.185587\pi\) | |||||||
\(662\) | 0.252513 | + | 0.942390i | 0.00981418 | + | 0.0366270i | ||||
\(663\) | 0.745864 | + | 0.924254i | 0.0289670 | + | 0.0358951i | ||||
\(664\) | 8.95053 | + | 5.16759i | 0.347348 | + | 0.200541i | ||||
\(665\) | −1.20397 | + | 7.93501i | −0.0466881 | + | 0.307706i | ||||
\(666\) | −6.02541 | − | 5.46229i | −0.233480 | − | 0.211659i | ||||
\(667\) | 1.05749 | − | 0.283353i | 0.0409461 | − | 0.0109715i | ||||
\(668\) | −25.8926 | − | 25.8926i | −1.00181 | − | 1.00181i | ||||
\(669\) | −0.211001 | + | 1.97543i | −0.00815778 | + | 0.0763744i | ||||
\(670\) | 14.3232 | + | 1.30797i | 0.553354 | + | 0.0505314i | ||||
\(671\) | 21.3104 | − | 12.3036i | 0.822679 | − | 0.474974i | ||||
\(672\) | −22.9068 | + | 8.56142i | −0.883650 | + | 0.330264i | ||||
\(673\) | −8.72059 | − | 32.5457i | −0.336154 | − | 1.25454i | −0.902612 | − | 0.430454i | \(-0.858353\pi\) |
0.566458 | − | 0.824090i | \(-0.308313\pi\) | |||||||
\(674\) | 1.89414 | − | 3.28075i | 0.0729596 | − | 0.126370i | ||||
\(675\) | 7.28070 | + | 24.9398i | 0.280234 | + | 0.959932i | ||||
\(676\) | 2.10199 | + | 3.64075i | 0.0808458 | + | 0.140029i | ||||
\(677\) | −0.758762 | − | 0.203310i | −0.0291616 | − | 0.00781382i | 0.244209 | − | 0.969723i | \(-0.421472\pi\) |
−0.273370 | + | 0.961909i | \(0.588138\pi\) | |||||||
\(678\) | −5.58225 | + | 4.50482i | −0.214385 | + | 0.173007i | ||||
\(679\) | −8.40979 | − | 9.47549i | −0.322738 | − | 0.363636i | ||||
\(680\) | 0.405033 | + | 0.877283i | 0.0155323 | + | 0.0336423i | ||||
\(681\) | −6.29433 | + | 2.78968i | −0.241199 | + | 0.106901i | ||||
\(682\) | −16.8992 | − | 16.8992i | −0.647105 | − | 0.647105i | ||||
\(683\) | 3.43983 | − | 12.8376i | 0.131622 | − | 0.491218i | −0.868367 | − | 0.495921i | \(-0.834830\pi\) |
0.999989 | + | 0.00470308i | \(0.00149704\pi\) | |||||||
\(684\) | −1.45606 | + | 6.73816i | −0.0556738 | + | 0.257640i | ||||
\(685\) | 0.104404 | − | 0.0869312i | 0.00398906 | − | 0.00332147i | ||||
\(686\) | −9.26987 | − | 4.36797i | −0.353925 | − | 0.166770i | ||||
\(687\) | −6.96093 | + | 18.0426i | −0.265576 | + | 0.688370i | ||||
\(688\) | −3.75942 | + | 3.75942i | −0.143326 | + | 0.143326i | ||||
\(689\) | 11.1629 | − | 19.3348i | 0.425274 | − | 0.736596i | ||||
\(690\) | −0.0262251 | − | 0.407140i | −0.000998372 | − | 0.0154995i | ||||
\(691\) | −13.0730 | − | 22.6432i | −0.497322 | − | 0.861387i | 0.502673 | − | 0.864476i | \(-0.332350\pi\) |
−0.999995 | + | 0.00308968i | \(0.999017\pi\) | |||||||
\(692\) | −26.6661 | + | 26.6661i | −1.01369 | + | 1.01369i | ||||
\(693\) | −31.8040 | − | 8.88198i | −1.20813 | − | 0.337399i | ||||
\(694\) | 14.2306i | 0.540186i | ||||||||
\(695\) | 40.5027 | − | 18.6997i | 1.53635 | − | 0.709320i | ||||
\(696\) | 20.2417 | + | 2.16207i | 0.767258 | + | 0.0819532i | ||||
\(697\) | −0.800316 | + | 0.214444i | −0.0303141 | + | 0.00812264i | ||||
\(698\) | 2.69383 | + | 2.69383i | 0.101963 | + | 0.101963i | ||||
\(699\) | −12.7069 | − | 1.35727i | −0.480621 | − | 0.0513365i | ||||
\(700\) | −5.36216 | + | 21.7565i | −0.202670 | + | 0.822318i | ||||
\(701\) | 37.5608i | 1.41865i | 0.704880 | + | 0.709327i | \(0.251001\pi\) | ||||
−0.704880 | + | 0.709327i | \(0.748999\pi\) | |||||||
\(702\) | 0.535195 | − | 9.30896i | 0.0201996 | − | 0.351344i | ||||
\(703\) | −6.42022 | − | 1.72029i | −0.242143 | − | 0.0648821i | ||||
\(704\) | −6.49405 | −0.244754 | ||||||||
\(705\) | −28.0000 | − | 24.6111i | −1.05454 | − | 0.926909i | ||||
\(706\) | 1.85149 | + | 3.20688i | 0.0696819 | + | 0.120693i | ||||
\(707\) | 12.4658 | − | 6.23972i | 0.468826 | − | 0.234669i | ||||
\(708\) | 4.31444 | − | 0.675869i | 0.162147 | − | 0.0254007i | ||||
\(709\) | −28.0343 | + | 16.1856i | −1.05285 | + | 0.607864i | −0.923446 | − | 0.383727i | \(-0.874640\pi\) |
−0.129406 | + | 0.991592i | \(0.541307\pi\) | |||||||
\(710\) | 3.71995 | − | 10.1009i | 0.139607 | − | 0.379081i | ||||
\(711\) | −40.1341 | − | 8.67263i | −1.50515 | − | 0.325249i | ||||
\(712\) | −32.3958 | + | 8.68043i | −1.21408 | + | 0.325313i | ||||
\(713\) | −1.90928 | + | 0.511589i | −0.0715029 | + | 0.0191592i | ||||
\(714\) | −0.222374 | + | 0.487802i | −0.00832212 | + | 0.0182555i | ||||
\(715\) | 10.4263 | − | 28.3110i | 0.389923 | − | 1.05877i | ||||
\(716\) | 39.4164i | 1.47306i | ||||||||
\(717\) | −1.71448 | − | 10.9444i | −0.0640283 | − | 0.408728i | ||||
\(718\) | −10.5123 | + | 10.5123i | −0.392315 | + | 0.392315i | ||||
\(719\) | 4.59833 | − | 7.96454i | 0.171489 | − | 0.297027i | −0.767452 | − | 0.641107i | \(-0.778476\pi\) |
0.938941 | + | 0.344079i | \(0.111809\pi\) | |||||||
\(720\) | −4.53011 | + | 14.4456i | −0.168827 | + | 0.538355i | ||||
\(721\) | 0.963467 | + | 0.320689i | 0.0358814 | + | 0.0119431i | ||||
\(722\) | 2.45737 | + | 9.17104i | 0.0914539 | + | 0.341311i | ||||
\(723\) | 6.95796 | + | 2.68441i | 0.258769 | + | 0.0998343i | ||||
\(724\) | 27.4628 | + | 15.8557i | 1.02065 | + | 0.589271i | ||||
\(725\) | 18.6484 | − | 21.8845i | 0.692586 | − | 0.812768i | ||||
\(726\) | 4.88451 | + | 3.56143i | 0.181281 | + | 0.132177i | ||||
\(727\) | −22.0438 | + | 5.90663i | −0.817560 | + | 0.219065i | −0.643280 | − | 0.765631i | \(-0.722427\pi\) |
−0.174281 | + | 0.984696i | \(0.555760\pi\) | |||||||
\(728\) | 9.65652 | − | 14.6393i | 0.357894 | − | 0.542570i | ||||
\(729\) | −16.0908 | + | 21.6814i | −0.595957 | + | 0.803016i | ||||
\(730\) | 11.2563 | + | 7.94564i | 0.416614 | + | 0.294081i | ||||
\(731\) | 0.498086i | 0.0184224i | ||||||||
\(732\) | 6.24616 | − | 16.1900i | 0.230865 | − | 0.598399i | ||||
\(733\) | 26.3531 | − | 26.3531i | 0.973373 | − | 0.973373i | −0.0262811 | − | 0.999655i | \(-0.508367\pi\) |
0.999655 | + | 0.0262811i | \(0.00836651\pi\) | |||||||
\(734\) | −0.507156 | − | 0.878421i | −0.0187195 | − | 0.0324231i | ||||
\(735\) | −24.1848 | + | 12.2514i | −0.892069 | + | 0.451899i | ||||
\(736\) | 0.507981 | − | 0.879850i | 0.0187244 | − | 0.0324317i | ||||
\(737\) | 12.5172 | + | 46.7148i | 0.461077 | + | 1.72076i | ||||
\(738\) | 5.78588 | + | 2.97273i | 0.212981 | + | 0.109428i | ||||
\(739\) | 35.8734 | − | 20.7115i | 1.31962 | − | 0.761885i | 0.335956 | − | 0.941878i | \(-0.390941\pi\) |
0.983668 | + | 0.179993i | \(0.0576074\pi\) | |||||||
\(740\) | −17.4137 | − | 6.41311i | −0.640142 | − | 0.235751i | ||||
\(741\) | −3.08778 | − | 6.96692i | −0.113432 | − | 0.255936i | ||||
\(742\) | 10.0597 | + | 0.599412i | 0.369305 | + | 0.0220051i | ||||
\(743\) | −0.248615 | + | 0.927842i | −0.00912078 | + | 0.0340392i | −0.970336 | − | 0.241759i | \(-0.922276\pi\) |
0.961215 | + | 0.275798i | \(0.0889422\pi\) | |||||||
\(744\) | −36.5459 | − | 3.90358i | −1.33984 | − | 0.143112i | ||||
\(745\) | 31.9928 | + | 2.92153i | 1.17212 | + | 0.107036i | ||||
\(746\) | −6.60480 | + | 3.81328i | −0.241819 | + | 0.139614i | ||||
\(747\) | 13.4934 | + | 6.93279i | 0.493699 | + | 0.253657i | ||||
\(748\) | −1.05353 | + | 1.05353i | −0.0385208 | + | 0.0385208i | ||||
\(749\) | −31.4071 | + | 27.8748i | −1.14759 | + | 1.01852i | ||||
\(750\) | −6.63347 | − | 8.41448i | −0.242220 | − | 0.307253i | ||||
\(751\) | −44.7605 | −1.63334 | −0.816668 | − | 0.577108i | \(-0.804181\pi\) | ||||
−0.816668 | + | 0.577108i | \(0.804181\pi\) | |||||||
\(752\) | −5.62225 | − | 20.9825i | −0.205022 | − | 0.765154i | ||||
\(753\) | −2.37920 | + | 6.16687i | −0.0867030 | + | 0.224733i | ||||
\(754\) | −8.93653 | + | 5.15951i | −0.325449 | + | 0.187898i | ||||
\(755\) | 25.4646 | + | 2.32538i | 0.926751 | + | 0.0846293i | ||||
\(756\) | −21.3875 | + | 9.21075i | −0.777857 | + | 0.334992i | ||||
\(757\) | −6.21211 | − | 6.21211i | −0.225783 | − | 0.225783i | 0.585145 | − | 0.810928i | \(-0.301037\pi\) |
−0.810928 | + | 0.585145i | \(0.801037\pi\) | |||||||
\(758\) | 0.146648 | − | 0.547300i | 0.00532651 | − | 0.0198788i | ||||
\(759\) | 1.25420 | − | 0.555867i | 0.0455245 | − | 0.0201767i | ||||
\(760\) | −1.05340 | − | 6.10979i | −0.0382109 | − | 0.221626i | ||||
\(761\) | − | 30.1204i | − | 1.09186i | −0.837829 | − | 0.545932i | \(-0.816176\pi\) | ||
0.837829 | − | 0.545932i | \(-0.183824\pi\) | |||||||
\(762\) | −0.751135 | − | 4.79490i | −0.0272107 | − | 0.173701i | ||||
\(763\) | 25.0227 | + | 16.5057i | 0.905883 | + | 0.597546i | ||||
\(764\) | −29.1773 | −1.05560 | ||||||||
\(765\) | 0.656852 | + | 1.25705i | 0.0237485 | + | 0.0454486i | ||||
\(766\) | −0.953304 | − | 1.65117i | −0.0344443 | − | 0.0596592i | ||||
\(767\) | −3.41355 | + | 3.41355i | −0.123256 | + | 0.123256i | ||||
\(768\) | 4.39589 | − | 3.54744i | 0.158623 | − | 0.128007i | ||||
\(769\) | −19.5175 | + | 11.2685i | −0.703821 | + | 0.406351i | −0.808769 | − | 0.588127i | \(-0.799866\pi\) |
0.104948 | + | 0.994478i | \(0.466532\pi\) | |||||||
\(770\) | 13.5341 | − | 1.51148i | 0.487735 | − | 0.0544700i | ||||
\(771\) | −16.6956 | + | 7.39959i | −0.601278 | + | 0.266490i | ||||
\(772\) | 7.14787 | − | 26.6762i | 0.257257 | − | 0.960097i | ||||
\(773\) | 2.25769 | − | 8.42582i | 0.0812035 | − | 0.303056i | −0.913365 | − | 0.407142i | \(-0.866525\pi\) |
0.994568 | + | 0.104087i | \(0.0331919\pi\) | |||||||
\(774\) | 2.62640 | − | 2.89717i | 0.0944042 | − | 0.104137i | ||||
\(775\) | −33.6694 | + | 39.5120i | −1.20944 | + | 1.41931i | ||||
\(776\) | 8.47576 | + | 4.89348i | 0.304262 | + | 0.175666i | ||||
\(777\) | −7.86046 | − | 21.0313i | −0.281993 | − | 0.754495i | ||||
\(778\) | −8.79766 | − | 2.35733i | −0.315412 | − | 0.0845143i | ||||
\(779\) | 5.31626 | 0.190475 | ||||||||
\(780\) | −6.81624 | − | 20.1545i | −0.244061 | − | 0.721648i | ||||
\(781\) | 36.1948 | 1.29515 | ||||||||
\(782\) | −0.00576448 | − | 0.0215133i | −0.000206137 | − | 0.000769315i | ||||
\(783\) | 29.8310 | + | 1.71506i | 1.06607 | + | 0.0612911i | ||||
\(784\) | −15.6860 | − | 1.87597i | −0.560214 | − | 0.0669989i | ||||
\(785\) | 36.7094 | − | 6.32915i | 1.31022 | − | 0.225897i | ||||
\(786\) | 0.319989 | − | 0.438866i | 0.0114136 | − | 0.0156538i | ||||
\(787\) | 14.5476 | − | 3.89801i | 0.518565 | − | 0.138949i | 0.00996244 | − | 0.999950i | \(-0.496829\pi\) |
0.508603 | + | 0.861001i | \(0.330162\pi\) | |||||||
\(788\) | 1.04895 | − | 0.281065i | 0.0373672 | − | 0.0100125i | ||||
\(789\) | 0.816718 | + | 1.84275i | 0.0290759 | + | 0.0656037i | ||||
\(790\) | 16.6876 | − | 2.87715i | 0.593718 | − | 0.102364i | ||||
\(791\) | −19.3994 | + | 3.97861i | −0.689763 | + | 0.141463i | ||||
\(792\) | 25.4781 | − | 1.24892i | 0.905323 | − | 0.0443785i | ||||
\(793\) | 4.96485 | + | 18.5291i | 0.176307 | + | 0.657987i | ||||
\(794\) | −13.9726 | −0.495870 | ||||||||
\(795\) | 17.6017 | − | 20.0254i | 0.624269 | − | 0.710228i | ||||
\(796\) | 12.5125 | 0.443495 | ||||||||
\(797\) | 10.3620 | + | 2.77650i | 0.367042 | + | 0.0983486i | 0.437626 | − | 0.899157i | \(-0.355820\pi\) |
−0.0705836 | + | 0.997506i | \(0.522486\pi\) | |||||||
\(798\) | 2.18829 | − | 2.65397i | 0.0774648 | − | 0.0939496i | ||||
\(799\) | −1.76244 | − | 1.01754i | −0.0623505 | − | 0.0359981i | ||||
\(800\) | −2.12345 | − | 26.5974i | −0.0750752 | − | 0.940359i | ||||
\(801\) | −46.8705 | + | 15.0542i | −1.65609 | + | 0.531915i | ||||
\(802\) | 0.891685 | − | 3.32781i | 0.0314865 | − | 0.117509i | ||||
\(803\) | −11.9910 | + | 44.7508i | −0.423151 | + | 1.57922i | ||||
\(804\) | 27.5582 | + | 20.0934i | 0.971902 | + | 0.708640i | ||||
\(805\) | 0.451421 | − | 1.03190i | 0.0159105 | − | 0.0363698i | ||||
\(806\) | 16.1347 | − | 9.31539i | 0.568322 | − | 0.328121i | ||||
\(807\) | 0.682435 | + | 4.35635i | 0.0240228 | + | 0.153351i | ||||
\(808\) | −7.61472 | + | 7.61472i | −0.267885 | + | 0.267885i | ||||
\(809\) | 0.947045 | + | 1.64033i | 0.0332963 | + | 0.0576710i | 0.882193 | − | 0.470887i | \(-0.156066\pi\) |
−0.848897 | + | 0.528558i | \(0.822733\pi\) | |||||||
\(810\) | 2.80775 | − | 10.7753i | 0.0986544 | − | 0.378606i | ||||
\(811\) | 15.0662 | 0.529047 | 0.264523 | − | 0.964379i | \(-0.414785\pi\) | ||||
0.264523 | + | 0.964379i | \(0.414785\pi\) | |||||||
\(812\) | 21.5122 | + | 14.1900i | 0.754929 | + | 0.497972i | ||||
\(813\) | −33.4906 | + | 27.0266i | −1.17457 | + | 0.947864i | ||||
\(814\) | 11.2781i | 0.395299i | ||||||||
\(815\) | 4.49171 | + | 26.0522i | 0.157338 | + | 0.912568i | ||||
\(816\) | −0.0877780 | + | 0.821792i | −0.00307285 | + | 0.0287685i | ||||
\(817\) | 0.827160 | − | 3.08700i | 0.0289387 | − | 0.108001i | ||||
\(818\) | 0.451742 | + | 0.451742i | 0.0157948 | + | 0.0157948i | ||||
\(819\) | 13.1050 | − | 22.1562i | 0.457927 | − | 0.774201i | ||||
\(820\) | 14.7811 | + | 1.34979i | 0.516179 | + | 0.0471366i | ||||
\(821\) | −30.1405 | + | 17.4016i | −1.05191 | + | 0.607320i | −0.923183 | − | 0.384360i | \(-0.874422\pi\) |
−0.128726 | + | 0.991680i | \(0.541089\pi\) | |||||||
\(822\) | −0.0575256 | + | 0.00901154i | −0.00200643 | + | 0.000314313i | ||||
\(823\) | 2.98164 | + | 11.1276i | 0.103933 | + | 0.387885i | 0.998222 | − | 0.0596060i | \(-0.0189844\pi\) |
−0.894289 | + | 0.447491i | \(0.852318\pi\) | |||||||
\(824\) | −0.784423 | −0.0273267 | ||||||||
\(825\) | 18.8423 | − | 30.7090i | 0.656003 | − | 1.06915i | ||||
\(826\) | −2.06754 | − | 0.688178i | −0.0719390 | − | 0.0239448i | ||||
\(827\) | −17.6902 | + | 17.6902i | −0.615148 | + | 0.615148i | −0.944283 | − | 0.329135i | \(-0.893243\pi\) |
0.329135 | + | 0.944283i | \(0.393243\pi\) | |||||||
\(828\) | 0.442121 | − | 0.860509i | 0.0153648 | − | 0.0299048i | ||||
\(829\) | −0.668683 | + | 0.386064i | −0.0232243 | + | 0.0134086i | −0.511567 | − | 0.859243i | \(-0.670935\pi\) |
0.488343 | + | 0.872652i | \(0.337602\pi\) | |||||||
\(830\) | −6.23046 | − | 0.568956i | −0.216263 | − | 0.0197487i | ||||
\(831\) | 11.4171 | + | 25.7603i | 0.396055 | + | 0.893614i | ||||
\(832\) | 1.31027 | − | 4.88999i | 0.0454254 | − | 0.169530i | ||||
\(833\) | −1.16339 | + | 0.914846i | −0.0403092 | + | 0.0316975i | ||||
\(834\) | −19.0117 | − | 2.03070i | −0.658323 | − | 0.0703174i | ||||
\(835\) | 45.3610 | + | 16.7055i | 1.56978 | + | 0.578117i | ||||
\(836\) | 8.27905 | − | 4.77991i | 0.286337 | − | 0.165317i | ||||
\(837\) | −53.8593 | − | 3.09650i | −1.86165 | − | 0.107031i | ||||
\(838\) | −0.889242 | − | 3.31870i | −0.0307183 | − | 0.114642i | ||||
\(839\) | 24.1362 | − | 41.8051i | 0.833273 | − | 1.44327i | −0.0621555 | − | 0.998066i | \(-0.519797\pi\) |
0.895429 | − | 0.445205i | \(-0.146869\pi\) | |||||||
\(840\) | 14.7376 | − | 14.8801i | 0.508497 | − | 0.513411i | ||||
\(841\) | −2.03388 | − | 3.52279i | −0.0701339 | − | 0.121475i | ||||
\(842\) | 10.9320 | − | 10.9320i | 0.376742 | − | 0.376742i | ||||
\(843\) | −1.04885 | − | 1.29970i | −0.0361242 | − | 0.0447641i | ||||
\(844\) | 14.4983i | 0.499051i | ||||||||
\(845\) | −4.53394 | − | 3.20044i | −0.155972 | − | 0.110098i | ||||
\(846\) | 4.88589 | + | 15.2120i | 0.167980 | + | 0.522998i | ||||
\(847\) | 7.46986 | + | 14.9234i | 0.256667 | + | 0.512775i | ||||
\(848\) | 15.0066 | − | 4.02100i | 0.515328 | − | 0.138082i | ||||
\(849\) | 3.03346 | − | 28.3998i | 0.104108 | − | 0.974677i | ||||
\(850\) | −0.445213 | − | 0.379380i | −0.0152707 | − | 0.0130126i | ||||
\(851\) | 0.807813 | + | 0.466391i | 0.0276915 | + | 0.0159877i | ||||
\(852\) | 19.8636 | − | 16.0297i | 0.680516 | − | 0.549169i | ||||
\(853\) | −1.15705 | − | 4.31816i | −0.0396166 | − | 0.147851i | 0.943284 | − | 0.331985i | \(-0.107719\pi\) |
−0.982901 | + | 0.184134i | \(0.941052\pi\) | |||||||
\(854\) | −6.47604 | + | 5.74769i | −0.221606 | + | 0.196682i | ||||
\(855\) | −1.98344 | − | 8.88166i | −0.0678323 | − | 0.303746i | ||||
\(856\) | 16.2197 | − | 28.0934i | 0.554380 | − | 0.960214i | ||||
\(857\) | −40.6371 | + | 40.6371i | −1.38814 | + | 1.38814i | −0.558909 | + | 0.829229i | \(0.688780\pi\) |
−0.829229 | + | 0.558909i | \(0.811220\pi\) | |||||||
\(858\) | −10.0626 | + | 8.12045i | −0.343533 | + | 0.277228i | ||||
\(859\) | 8.25652i | 0.281709i | 0.990030 | + | 0.140854i | \(0.0449849\pi\) | ||||
−0.990030 | + | 0.140854i | \(0.955015\pi\) | |||||||
\(860\) | 3.08358 | − | 8.37296i | 0.105149 | − | 0.285516i | ||||
\(861\) | 10.4266 | + | 14.6212i | 0.355337 | + | 0.498289i | ||||
\(862\) | 7.35296 | − | 1.97022i | 0.250443 | − | 0.0671060i | ||||
\(863\) | −45.1011 | + | 12.0848i | −1.53526 | + | 0.411372i | −0.924731 | − | 0.380622i | \(-0.875710\pi\) |
−0.610529 | + | 0.791994i | \(0.709043\pi\) | |||||||
\(864\) | 20.7003 | − | 18.4495i | 0.704237 | − | 0.627663i | ||||
\(865\) | 17.2046 | − | 46.7162i | 0.584973 | − | 1.58840i | ||||
\(866\) | −14.2548 | + | 8.23003i | −0.484399 | + | 0.279668i | ||||
\(867\) | −18.4429 | − | 22.8540i | −0.626355 | − | 0.776162i | ||||
\(868\) | −38.8398 | − | 25.6198i | −1.31831 | − | 0.869593i | ||||
\(869\) | 28.4703 | + | 49.3120i | 0.965788 | + | 1.67279i | ||||
\(870\) | −11.6734 | + | 3.94795i | −0.395767 | + | 0.133848i | ||||
\(871\) | −37.7016 | −1.27747 | ||||||||
\(872\) | −22.3675 | − | 5.99337i | −0.757461 | − | 0.202961i | ||||
\(873\) | 12.7777 | + | 6.56505i | 0.432460 | + | 0.222193i | ||||
\(874\) | 0.142907i | 0.00483389i | ||||||||
\(875\) | −5.61227 | − | 29.0431i | −0.189729 | − | 0.981836i | ||||
\(876\) | 13.2384 | + | 29.8696i | 0.447283 | + | 1.00920i | ||||
\(877\) | −33.5012 | − | 33.5012i | −1.13125 | − | 1.13125i | −0.989969 | − | 0.141285i | \(-0.954877\pi\) |
−0.141285 | − | 0.989969i | \(-0.545123\pi\) | |||||||
\(878\) | −5.10614 | + | 1.36819i | −0.172324 | + | 0.0461741i | ||||
\(879\) | −6.29553 | + | 8.63434i | −0.212343 | + | 0.291229i | ||||
\(880\) | 19.0609 | − | 8.80024i | 0.642543 | − | 0.296656i | ||||
\(881\) | − | 13.4898i | − | 0.454482i | −0.973839 | − | 0.227241i | \(-0.927029\pi\) | ||
0.973839 | − | 0.227241i | \(-0.0729705\pi\) | |||||||
\(882\) | 11.5910 | + | 0.813274i | 0.390289 | + | 0.0273843i | ||||
\(883\) | 17.5924 | − | 17.5924i | 0.592033 | − | 0.592033i | −0.346147 | − | 0.938180i | \(-0.612510\pi\) |
0.938180 | + | 0.346147i | \(0.112510\pi\) | |||||||
\(884\) | −0.580738 | − | 1.00587i | −0.0195323 | − | 0.0338310i | ||||
\(885\) | −4.79702 | + | 3.19746i | −0.161250 | + | 0.107481i | ||||
\(886\) | −3.92806 | + | 6.80361i | −0.131966 | + | 0.228572i | ||||
\(887\) | 34.2212 | − | 34.2212i | 1.14903 | − | 1.14903i | 0.162291 | − | 0.986743i | \(-0.448112\pi\) |
0.986743 | − | 0.162291i | \(-0.0518884\pi\) | |||||||
\(888\) | 10.8924 | + | 13.4975i | 0.365524 | + | 0.452947i | ||||
\(889\) | 4.23152 | − | 12.7130i | 0.141921 | − | 0.426382i | ||||
\(890\) | 15.6021 | − | 12.9910i | 0.522985 | − | 0.435461i | ||||
\(891\) | 37.2627 | − | 3.66201i | 1.24835 | − | 0.122682i | ||||
\(892\) | 0.502846 | − | 1.87665i | 0.0168365 | − | 0.0628347i | ||||
\(893\) | 9.23330 | + | 9.23330i | 0.308981 | + | 0.308981i | ||||
\(894\) | −11.1256 | − | 8.11195i | −0.372094 | − | 0.271304i | ||||
\(895\) | −21.8112 | − | 47.2421i | −0.729068 | − | 1.57913i | ||||
\(896\) | 29.9004 | − | 6.13225i | 0.998901 | − | 0.204864i | ||||
\(897\) | 0.165513 | + | 1.05656i | 0.00552632 | + | 0.0352775i | ||||
\(898\) | 11.1914 | + | 2.99874i | 0.373463 | + | 0.100069i | ||||
\(899\) | 29.8516 | + | 51.7045i | 0.995607 | + | 1.72444i | ||||
\(900\) | −3.25965 | − | 25.1978i | −0.108655 | − | 0.839926i | ||||
\(901\) | 0.727740 | − | 1.26048i | 0.0242445 | − | 0.0419928i | ||||
\(902\) | −2.33472 | − | 8.71328i | −0.0777375 | − | 0.290120i | ||||
\(903\) | 10.1124 | − | 3.77951i | 0.336519 | − | 0.125774i | ||||
\(904\) | 13.2484 | − | 7.64896i | 0.440635 | − | 0.254401i | ||||
\(905\) | −41.6890 | − | 3.80697i | −1.38579 | − | 0.126548i | ||||
\(906\) | −8.85536 | − | 6.45669i | −0.294200 | − | 0.214509i | ||||
\(907\) | 29.7693 | + | 29.7693i | 0.988473 | + | 0.988473i | 0.999934 | − | 0.0114611i | \(-0.00364826\pi\) |
−0.0114611 | + | 0.999934i | \(0.503648\pi\) | |||||||
\(908\) | 6.50356 | − | 1.74262i | 0.215828 | − | 0.0578310i | ||||
\(909\) | −10.6164 | + | 11.7109i | −0.352125 | + | 0.388427i | ||||
\(910\) | −1.59256 | + | 10.4961i | −0.0527930 | + | 0.347942i | ||||
\(911\) | 30.5194 | + | 17.6204i | 1.01115 | + | 0.583790i | 0.911529 | − | 0.411235i | \(-0.134902\pi\) |
0.0996247 | + | 0.995025i | \(0.468236\pi\) | |||||||
\(912\) | 1.90876 | − | 4.94747i | 0.0632052 | − | 0.163827i | ||||
\(913\) | −5.44486 | − | 20.3205i | −0.180199 | − | 0.672511i | ||||
\(914\) | −9.78365 | + | 16.9458i | −0.323614 | + | 0.560517i | ||||
\(915\) | 1.47252 | + | 22.8606i | 0.0486800 | + | 0.755749i | ||||
\(916\) | 9.45617 | − | 16.3786i | 0.312441 | − | 0.541163i | ||||
\(917\) | 1.34085 | − | 0.671155i | 0.0442787 | − | 0.0221635i | ||||
\(918\) | 0.0348907 | − | 0.606875i | 0.00115157 | − | 0.0200299i | ||||
\(919\) | 20.1847 | + | 11.6536i | 0.665832 | + | 0.384418i | 0.794495 | − | 0.607270i | \(-0.207735\pi\) |
−0.128664 | + | 0.991688i | \(0.541069\pi\) | |||||||
\(920\) | −0.0791254 | + | 0.866479i | −0.00260869 | + | 0.0285670i | ||||
\(921\) | −8.80315 | − | 19.8624i | −0.290074 | − | 0.654490i | ||||
\(922\) | 9.22755 | + | 9.22755i | 0.303893 | + | 0.303893i | ||||
\(923\) | −7.30283 | + | 27.2545i | −0.240376 | + | 0.897094i | ||||
\(924\) | 29.3835 | + | 13.3950i | 0.966646 | + | 0.440664i | ||||
\(925\) | 24.4197 | − | 1.94959i | 0.802916 | − | 0.0641022i | ||||
\(926\) | 13.3661 | + | 7.71692i | 0.439237 | + | 0.253594i | ||||
\(927\) | −1.15002 | + | 0.0563732i | −0.0377715 | + | 0.00185154i | ||||
\(928\) | −29.6411 | − | 7.94231i | −0.973017 | − | 0.260719i | ||||
\(929\) | −1.27297 | − | 2.20486i | −0.0417649 | − | 0.0723390i | 0.844387 | − | 0.535733i | \(-0.179965\pi\) |
−0.886152 | + | 0.463394i | \(0.846631\pi\) | |||||||
\(930\) | 21.0762 | − | 7.12795i | 0.691115 | − | 0.233735i | ||||
\(931\) | 8.72967 | − | 3.73795i | 0.286103 | − | 0.122506i | ||||
\(932\) | 12.0715 | + | 3.23456i | 0.395416 | + | 0.105951i | ||||
\(933\) | 23.2684 | + | 28.8336i | 0.761774 | + | 0.943969i | ||||
\(934\) | 12.8932i | 0.421879i | ||||||||
\(935\) | 0.679719 | − | 1.84566i | 0.0222292 | − | 0.0603597i | ||||
\(936\) | −4.20014 | + | 19.4369i | −0.137286 | + | 0.635314i | ||||
\(937\) | −7.94948 | − | 7.94948i | −0.259698 | − | 0.259698i | 0.565233 | − | 0.824931i | \(-0.308786\pi\) |
−0.824931 | + | 0.565233i | \(0.808786\pi\) | |||||||
\(938\) | −7.61731 | − | 15.2180i | −0.248714 | − | 0.496886i | ||||
\(939\) | −7.08807 | − | 5.16810i | −0.231310 | − | 0.168655i | ||||
\(940\) | 23.3276 | + | 28.0162i | 0.760861 | + | 0.913787i | ||||
\(941\) | 5.81204 | + | 3.35558i | 0.189467 | + | 0.109389i | 0.591733 | − | 0.806134i | \(-0.298444\pi\) |
−0.402266 | + | 0.915523i | \(0.631777\pi\) | |||||||
\(942\) | −14.8954 | − | 5.74669i | −0.485317 | − | 0.187237i | ||||
\(943\) | −0.720650 | − | 0.193098i | −0.0234676 | − | 0.00628812i | ||||
\(944\) | −3.35932 | −0.109337 | ||||||||
\(945\) | 20.5370 | − | 22.8743i | 0.668068 | − | 0.744101i | ||||
\(946\) | −5.42281 | −0.176311 | ||||||||
\(947\) | 28.1396 | + | 7.53997i | 0.914413 | + | 0.245016i | 0.685196 | − | 0.728359i | \(-0.259717\pi\) |
0.229217 | + | 0.973375i | \(0.426383\pi\) | |||||||
\(948\) | 37.4634 | + | 14.4535i | 1.21675 | + | 0.469429i | ||||
\(949\) | −31.2779 | − | 18.0583i | −1.01532 | − | 0.586197i | ||||
\(950\) | 2.12928 | + | 3.09065i | 0.0690830 | + | 0.100274i | ||||
\(951\) | −20.9256 | − | 15.2575i | −0.678560 | − | 0.494757i | ||||
\(952\) | 0.629533 | − | 0.954377i | 0.0204033 | − | 0.0309315i | ||||
\(953\) | −18.6315 | − | 18.6315i | −0.603535 | − | 0.603535i | 0.337714 | − | 0.941249i | \(-0.390346\pi\) |
−0.941249 | + | 0.337714i | \(0.890346\pi\) | |||||||
\(954\) | −10.8795 | + | 3.49436i | −0.352237 | + | 0.113134i | ||||
\(955\) | 34.9700 | − | 16.1453i | 1.13160 | − | 0.522451i | ||||
\(956\) | 10.8336i | 0.350383i | ||||||||
\(957\) | −26.0223 | − | 32.2462i | −0.841183 | − | 1.04237i | ||||
\(958\) | −18.0859 | − | 4.84611i | −0.584330 | − | 0.156571i | ||||
\(959\) | −0.152521 | − | 0.0507665i | −0.00492517 | − | 0.00163934i | ||||
\(960\) | 2.68002 | − | 5.41915i | 0.0864971 | − | 0.174902i | ||||
\(961\) | −38.3965 | − | 66.5047i | −1.23860 | − | 2.14531i | ||||
\(962\) | −8.49240 | − | 2.27553i | −0.273806 | − | 0.0733661i | ||||
\(963\) | 21.7603 | − | 42.3525i | 0.701215 | − | 1.36479i | ||||
\(964\) | −6.31623 | − | 3.64667i | −0.203432 | − | 0.117451i | ||||
\(965\) | 6.19437 | + | 35.9277i | 0.199404 | + | 1.15655i | ||||
\(966\) | −0.393033 | + | 0.280278i | −0.0126456 | + | 0.00901779i | ||||
\(967\) | 9.33914 | − | 34.8541i | 0.300327 | − | 1.12083i | −0.636568 | − | 0.771221i | \(-0.719646\pi\) |
0.936894 | − | 0.349613i | \(-0.113687\pi\) | |||||||
\(968\) | −9.11594 | − | 9.11594i | −0.292997 | − | 0.292997i | ||||
\(969\) | −0.201300 | − | 0.454192i | −0.00646669 | − | 0.0145907i | ||||
\(970\) | −5.89998 | − | 0.538777i | −0.189437 | − | 0.0172991i | ||||
\(971\) | 8.40225 | + | 4.85104i | 0.269641 | + | 0.155677i | 0.628725 | − | 0.777628i | \(-0.283577\pi\) |
−0.359083 | + | 0.933305i | \(0.616911\pi\) | |||||||
\(972\) | 18.8279 | − | 18.5124i | 0.603905 | − | 0.593785i | ||||
\(973\) | −44.0620 | − | 29.0645i | −1.41256 | − | 0.931765i | ||||
\(974\) | 7.95680 | − | 13.7816i | 0.254952 | − | 0.441590i | ||||
\(975\) | 19.3221 | + | 20.3842i | 0.618802 | + | 0.652815i | ||||
\(976\) | −6.67436 | + | 11.5603i | −0.213641 | + | 0.370037i | ||||
\(977\) | 2.19544 | + | 8.19348i | 0.0702383 | + | 0.262133i | 0.992111 | − | 0.125359i | \(-0.0400082\pi\) |
−0.921873 | + | 0.387492i | \(0.873342\pi\) | |||||||
\(978\) | 4.07835 | − | 10.5710i | 0.130411 | − | 0.338024i | ||||
\(979\) | 59.1219 | + | 34.1340i | 1.88954 | + | 1.09093i | ||||
\(980\) | 25.2207 | − | 8.17640i | 0.805645 | − | 0.261186i | ||||
\(981\) | −33.2230 | − | 7.17921i | −1.06073 | − | 0.229214i | ||||
\(982\) | −8.35926 | + | 2.23986i | −0.266755 | + | 0.0714767i | ||||
\(983\) | 23.4655 | + | 23.4655i | 0.748434 | + | 0.748434i | 0.974185 | − | 0.225751i | \(-0.0724835\pi\) |
−0.225751 | + | 0.974185i | \(0.572483\pi\) | |||||||
\(984\) | −11.2094 | − | 8.17307i | −0.357342 | − | 0.260548i | ||||
\(985\) | −1.10167 | + | 0.917305i | −0.0351023 | + | 0.0292278i | ||||
\(986\) | −0.582595 | + | 0.336362i | −0.0185536 | + | 0.0107119i | ||||
\(987\) | −7.28520 | + | 43.5031i | −0.231891 | + | 1.38472i | ||||
\(988\) | 1.92884 | + | 7.19851i | 0.0613644 | + | 0.229015i | ||||
\(989\) | −0.224252 | + | 0.388417i | −0.00713081 | + | 0.0123509i | ||||
\(990\) | −13.6858 | + | 7.15134i | −0.434965 | + | 0.227285i | ||||
\(991\) | −17.2466 | − | 29.8720i | −0.547856 | − | 0.948915i | −0.998421 | − | 0.0561710i | \(-0.982111\pi\) |
0.450565 | − | 0.892744i | \(-0.351223\pi\) | |||||||
\(992\) | 53.5165 | + | 14.3397i | 1.69915 | + | 0.455286i | ||||
\(993\) | −0.472665 | − | 3.01728i | −0.0149996 | − | 0.0957505i | ||||
\(994\) | −12.4766 | + | 2.55882i | −0.395734 | + | 0.0811608i | ||||
\(995\) | −14.9967 | + | 6.92385i | −0.475429 | + | 0.219501i | ||||
\(996\) | −11.9875 | − | 8.74045i | −0.379840 | − | 0.276952i | ||||
\(997\) | 9.33933 | + | 9.33933i | 0.295780 | + | 0.295780i | 0.839358 | − | 0.543579i | \(-0.182931\pi\) |
−0.543579 | + | 0.839358i | \(0.682931\pi\) | |||||||
\(998\) | −3.11587 | + | 11.6286i | −0.0986312 | + | 0.368096i | ||||
\(999\) | 16.9389 | + | 19.0054i | 0.535924 | + | 0.601306i |
(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 | 315.2.bx.a.2.20 | yes | 176 | |
3.2 | odd | 2 | 945.2.ca.a.737.25 | 176 | |||
5.3 | odd | 4 | inner | 315.2.bx.a.128.20 | yes | 176 | |
7.4 | even | 3 | 315.2.bv.a.137.25 | yes | 176 | ||
9.4 | even | 3 | 945.2.by.a.422.25 | 176 | |||
9.5 | odd | 6 | 315.2.bv.a.212.20 | yes | 176 | ||
15.8 | even | 4 | 945.2.ca.a.548.25 | 176 | |||
21.11 | odd | 6 | 945.2.by.a.872.20 | 176 | |||
35.18 | odd | 12 | 315.2.bv.a.263.20 | yes | 176 | ||
45.13 | odd | 12 | 945.2.by.a.233.20 | 176 | |||
45.23 | even | 12 | 315.2.bv.a.23.25 | ✓ | 176 | ||
63.4 | even | 3 | 945.2.ca.a.557.25 | 176 | |||
63.32 | odd | 6 | inner | 315.2.bx.a.32.20 | yes | 176 | |
105.53 | even | 12 | 945.2.by.a.683.25 | 176 | |||
315.158 | even | 12 | inner | 315.2.bx.a.158.20 | yes | 176 | |
315.193 | odd | 12 | 945.2.ca.a.368.25 | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bv.a.23.25 | ✓ | 176 | 45.23 | even | 12 | ||
315.2.bv.a.137.25 | yes | 176 | 7.4 | even | 3 | ||
315.2.bv.a.212.20 | yes | 176 | 9.5 | odd | 6 | ||
315.2.bv.a.263.20 | yes | 176 | 35.18 | odd | 12 | ||
315.2.bx.a.2.20 | yes | 176 | 1.1 | even | 1 | trivial | |
315.2.bx.a.32.20 | yes | 176 | 63.32 | odd | 6 | inner | |
315.2.bx.a.128.20 | yes | 176 | 5.3 | odd | 4 | inner | |
315.2.bx.a.158.20 | yes | 176 | 315.158 | even | 12 | inner | |
945.2.by.a.233.20 | 176 | 45.13 | odd | 12 | |||
945.2.by.a.422.25 | 176 | 9.4 | even | 3 | |||
945.2.by.a.683.25 | 176 | 105.53 | even | 12 | |||
945.2.by.a.872.20 | 176 | 21.11 | odd | 6 | |||
945.2.ca.a.368.25 | 176 | 315.193 | odd | 12 | |||
945.2.ca.a.548.25 | 176 | 15.8 | even | 4 | |||
945.2.ca.a.557.25 | 176 | 63.4 | even | 3 | |||
945.2.ca.a.737.25 | 176 | 3.2 | odd | 2 |