Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(2,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.f (of order \(58\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(504\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 14.3 | ||
Character | \(\chi\) | \(=\) | 177.14 |
Dual form | 177.2.f.a.38.3 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{19}{58}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.60225 | + | 0.964041i | −1.13296 | + | 0.681680i | −0.953293 | − | 0.302047i | \(-0.902330\pi\) |
−0.179668 | + | 0.983727i | \(0.557502\pi\) | |||||||
\(3\) | −1.65741 | + | 0.502995i | −0.956904 | + | 0.290404i | ||||
\(4\) | 0.701009 | − | 1.32224i | 0.350504 | − | 0.661122i | ||||
\(5\) | 0.0291328 | + | 0.267871i | 0.0130286 | + | 0.119796i | 0.998846 | − | 0.0480247i | \(-0.0152926\pi\) |
−0.985818 | + | 0.167820i | \(0.946327\pi\) | |||||||
\(6\) | 2.17067 | − | 2.40373i | 0.886172 | − | 0.981319i | ||||
\(7\) | −3.96067 | + | 1.33451i | −1.49699 | + | 0.504396i | −0.944327 | − | 0.329007i | \(-0.893286\pi\) |
−0.552666 | + | 0.833403i | \(0.686389\pi\) | |||||||
\(8\) | −0.0509641 | − | 0.939978i | −0.0180185 | − | 0.332333i | ||||
\(9\) | 2.49399 | − | 1.66733i | 0.831331 | − | 0.555778i | ||||
\(10\) | −0.304917 | − | 0.401111i | −0.0964232 | − | 0.126843i | ||||
\(11\) | 1.25346 | − | 1.84871i | 0.377932 | − | 0.557408i | −0.590389 | − | 0.807119i | \(-0.701025\pi\) |
0.968320 | + | 0.249712i | \(0.0803358\pi\) | |||||||
\(12\) | −0.496775 | + | 2.54410i | −0.143406 | + | 0.734418i | ||||
\(13\) | 0.0885345 | − | 0.0934648i | 0.0245551 | − | 0.0259225i | −0.713602 | − | 0.700551i | \(-0.752938\pi\) |
0.738157 | + | 0.674629i | \(0.235696\pi\) | |||||||
\(14\) | 5.05946 | − | 5.95646i | 1.35220 | − | 1.59193i | ||||
\(15\) | −0.183023 | − | 0.429318i | −0.0472563 | − | 0.110849i | ||||
\(16\) | 2.66755 | + | 3.93435i | 0.666888 | + | 0.983587i | ||||
\(17\) | 0.877671 | − | 2.60483i | 0.212866 | − | 0.631765i | −0.787023 | − | 0.616923i | \(-0.788379\pi\) |
0.999890 | − | 0.0148418i | \(-0.00472447\pi\) | |||||||
\(18\) | −2.38862 | + | 5.07580i | −0.563002 | + | 1.19638i | ||||
\(19\) | −1.29281 | − | 7.88577i | −0.296590 | − | 1.80912i | −0.542755 | − | 0.839891i | \(-0.682619\pi\) |
0.246165 | − | 0.969228i | \(-0.420830\pi\) | |||||||
\(20\) | 0.374613 | + | 0.149260i | 0.0837661 | + | 0.0333755i | ||||
\(21\) | 5.89319 | − | 4.20402i | 1.28600 | − | 0.917392i | ||||
\(22\) | −0.226117 | + | 4.17048i | −0.0482083 | + | 0.889149i | ||||
\(23\) | −0.724703 | − | 2.61014i | −0.151111 | − | 0.544252i | −0.999880 | − | 0.0154888i | \(-0.995070\pi\) |
0.848769 | − | 0.528764i | \(-0.177344\pi\) | |||||||
\(24\) | 0.557273 | + | 1.53229i | 0.113753 | + | 0.312778i | ||||
\(25\) | 4.81220 | − | 1.05924i | 0.962439 | − | 0.211849i | ||||
\(26\) | −0.0517505 | + | 0.235105i | −0.0101491 | + | 0.0461078i | ||||
\(27\) | −3.29490 | + | 4.01792i | −0.634103 | + | 0.773249i | ||||
\(28\) | −1.01193 | + | 6.17247i | −0.191236 | + | 1.16649i | ||||
\(29\) | −3.17115 | + | 5.27049i | −0.588868 | + | 0.978706i | 0.408942 | + | 0.912560i | \(0.365898\pi\) |
−0.997810 | + | 0.0661454i | \(0.978930\pi\) | |||||||
\(30\) | 0.707129 | + | 0.511433i | 0.129103 | + | 0.0933744i | ||||
\(31\) | −5.97230 | − | 0.979109i | −1.07266 | − | 0.175853i | −0.400526 | − | 0.916285i | \(-0.631173\pi\) |
−0.672131 | + | 0.740432i | \(0.734621\pi\) | |||||||
\(32\) | −6.35825 | − | 2.94164i | −1.12399 | − | 0.520013i | ||||
\(33\) | −1.14760 | + | 3.69455i | −0.199771 | + | 0.643139i | ||||
\(34\) | 1.10492 | + | 5.01970i | 0.189492 | + | 0.860872i | ||||
\(35\) | −0.472861 | − | 1.02207i | −0.0799281 | − | 0.172762i | ||||
\(36\) | −0.456312 | − | 4.46648i | −0.0760520 | − | 0.744413i | ||||
\(37\) | −6.76370 | − | 0.366717i | −1.11195 | − | 0.0602879i | −0.511002 | − | 0.859579i | \(-0.670726\pi\) |
−0.600943 | + | 0.799292i | \(0.705208\pi\) | |||||||
\(38\) | 9.67360 | + | 11.3886i | 1.56927 | + | 1.84748i | ||||
\(39\) | −0.0997254 | + | 0.199442i | −0.0159688 | + | 0.0319362i | ||||
\(40\) | 0.250309 | − | 0.0410360i | 0.0395773 | − | 0.00648836i | ||||
\(41\) | −6.10233 | − | 1.69430i | −0.953024 | − | 0.264606i | −0.243988 | − | 0.969778i | \(-0.578456\pi\) |
−0.709036 | + | 0.705172i | \(0.750870\pi\) | |||||||
\(42\) | −5.38951 | + | 12.4172i | −0.831620 | + | 1.91601i | ||||
\(43\) | −2.60106 | + | 1.76356i | −0.396658 | + | 0.268941i | −0.743167 | − | 0.669106i | \(-0.766677\pi\) |
0.346509 | + | 0.938047i | \(0.387367\pi\) | |||||||
\(44\) | −1.56576 | − | 2.95334i | −0.236047 | − | 0.445233i | ||||
\(45\) | 0.519288 | + | 0.619495i | 0.0774109 | + | 0.0923489i | ||||
\(46\) | 3.67744 | + | 3.48346i | 0.542209 | + | 0.513607i | ||||
\(47\) | −5.39475 | − | 0.586714i | −0.786905 | − | 0.0855811i | −0.294162 | − | 0.955756i | \(-0.595040\pi\) |
−0.492743 | + | 0.870175i | \(0.664006\pi\) | |||||||
\(48\) | −6.40018 | − | 5.17904i | −0.923786 | − | 0.747531i | ||||
\(49\) | 8.33336 | − | 6.33486i | 1.19048 | − | 0.904980i | ||||
\(50\) | −6.68918 | + | 6.33633i | −0.945993 | + | 0.896092i | ||||
\(51\) | −0.144438 | + | 4.75873i | −0.0202254 | + | 0.666356i | ||||
\(52\) | −0.0615197 | − | 0.182584i | −0.00853124 | − | 0.0253198i | ||||
\(53\) | 5.75917 | − | 7.57606i | 0.791083 | − | 1.04065i | −0.206974 | − | 0.978346i | \(-0.566362\pi\) |
0.998057 | − | 0.0623055i | \(-0.0198453\pi\) | |||||||
\(54\) | 1.40581 | − | 9.61412i | 0.191306 | − | 1.30832i | ||||
\(55\) | 0.531734 | + | 0.281907i | 0.0716990 | + | 0.0380124i | ||||
\(56\) | 1.45626 | + | 3.65493i | 0.194601 | + | 0.488411i | ||||
\(57\) | 6.10921 | + | 12.4196i | 0.809184 | + | 1.64502i | ||||
\(58\) | − | 11.5018i | − | 1.51025i | ||||||
\(59\) | 1.76075 | − | 7.47662i | 0.229230 | − | 0.973372i | ||||
\(60\) | −0.695964 | − | 0.0589551i | −0.0898485 | − | 0.00761107i | ||||
\(61\) | −0.611098 | − | 1.01565i | −0.0782431 | − | 0.130041i | 0.815265 | − | 0.579088i | \(-0.196591\pi\) |
−0.893508 | + | 0.449047i | \(0.851764\pi\) | |||||||
\(62\) | 10.5130 | − | 4.18877i | 1.33515 | − | 0.531974i | ||||
\(63\) | −7.65281 | + | 9.93201i | −0.964164 | + | 1.25132i | ||||
\(64\) | 3.57226 | − | 0.388507i | 0.446532 | − | 0.0485633i | ||||
\(65\) | 0.0276158 | + | 0.0209930i | 0.00342532 | + | 0.00260386i | ||||
\(66\) | −1.72296 | − | 7.02592i | −0.212082 | − | 0.864831i | ||||
\(67\) | 6.57251 | − | 0.356351i | 0.802959 | − | 0.0435352i | 0.351910 | − | 0.936034i | \(-0.385532\pi\) |
0.451050 | + | 0.892499i | \(0.351050\pi\) | |||||||
\(68\) | −2.82897 | − | 2.98651i | −0.343063 | − | 0.362167i | ||||
\(69\) | 2.51402 | + | 3.96155i | 0.302652 | + | 0.476914i | ||||
\(70\) | 1.74296 | + | 1.18176i | 0.208324 | + | 0.141247i | ||||
\(71\) | −0.857888 | + | 7.88815i | −0.101813 | + | 0.936151i | 0.826143 | + | 0.563460i | \(0.190530\pi\) |
−0.927956 | + | 0.372691i | \(0.878435\pi\) | |||||||
\(72\) | −1.69436 | − | 2.25932i | −0.199683 | − | 0.266264i | ||||
\(73\) | −3.64114 | − | 3.09281i | −0.426163 | − | 0.361986i | 0.408489 | − | 0.912763i | \(-0.366056\pi\) |
−0.834653 | + | 0.550777i | \(0.814332\pi\) | |||||||
\(74\) | 11.1907 | − | 5.93291i | 1.30089 | − | 0.689687i | ||||
\(75\) | −7.44297 | + | 4.17611i | −0.859440 | + | 0.482216i | ||||
\(76\) | −11.3332 | − | 3.81859i | −1.30000 | − | 0.438022i | ||||
\(77\) | −2.49742 | + | 8.99489i | −0.284607 | + | 1.02506i | ||||
\(78\) | −0.0324850 | − | 0.415694i | −0.00367820 | − | 0.0470681i | ||||
\(79\) | −1.78551 | + | 4.48129i | −0.200886 | + | 0.504185i | −0.994561 | − | 0.104157i | \(-0.966786\pi\) |
0.793675 | + | 0.608342i | \(0.208165\pi\) | |||||||
\(80\) | −0.976186 | + | 0.829180i | −0.109141 | + | 0.0927051i | ||||
\(81\) | 3.43999 | − | 8.31664i | 0.382221 | − | 0.924071i | ||||
\(82\) | 11.4108 | − | 3.16820i | 1.26012 | − | 0.349869i | ||||
\(83\) | 3.74619 | − | 1.73317i | 0.411198 | − | 0.190240i | −0.203374 | − | 0.979101i | \(-0.565191\pi\) |
0.614572 | + | 0.788861i | \(0.289329\pi\) | |||||||
\(84\) | −1.42755 | − | 10.7393i | −0.155759 | − | 1.17175i | ||||
\(85\) | 0.723329 | + | 0.159217i | 0.0784561 | + | 0.0172695i | ||||
\(86\) | 2.46740 | − | 5.33319i | 0.266066 | − | 0.575093i | ||||
\(87\) | 2.60485 | − | 10.3304i | 0.279269 | − | 1.10754i | ||||
\(88\) | −1.80163 | − | 1.08401i | −0.192054 | − | 0.115555i | ||||
\(89\) | 8.05345 | + | 4.84560i | 0.853664 | + | 0.513633i | 0.873868 | − | 0.486163i | \(-0.161604\pi\) |
−0.0202037 | + | 0.999796i | \(0.506431\pi\) | |||||||
\(90\) | −1.42925 | − | 0.491970i | −0.150656 | − | 0.0518582i | ||||
\(91\) | −0.225927 | + | 0.488333i | −0.0236836 | + | 0.0511912i | ||||
\(92\) | −3.95927 | − | 0.871501i | −0.412782 | − | 0.0908602i | ||||
\(93\) | 10.3910 | − | 1.38126i | 1.07750 | − | 0.143230i | ||||
\(94\) | 9.20935 | − | 4.26070i | 0.949872 | − | 0.439457i | ||||
\(95\) | 2.07471 | − | 0.576040i | 0.212861 | − | 0.0591005i | ||||
\(96\) | 12.0178 | + | 1.67732i | 1.22656 | + | 0.171191i | ||||
\(97\) | 7.78525 | − | 6.61285i | 0.790472 | − | 0.671433i | −0.158301 | − | 0.987391i | \(-0.550602\pi\) |
0.948773 | + | 0.315958i | \(0.102326\pi\) | |||||||
\(98\) | −7.24506 | + | 18.1837i | −0.731861 | + | 1.83683i | ||||
\(99\) | 0.0436911 | − | 6.70061i | 0.00439112 | − | 0.673436i | ||||
\(100\) | 1.97281 | − | 7.10543i | 0.197281 | − | 0.710543i | ||||
\(101\) | −13.7948 | − | 4.64799i | −1.37263 | − | 0.462493i | −0.466136 | − | 0.884713i | \(-0.654354\pi\) |
−0.906493 | + | 0.422220i | \(0.861251\pi\) | |||||||
\(102\) | −4.35619 | − | 7.76392i | −0.431327 | − | 0.768742i | ||||
\(103\) | 1.87947 | − | 0.996429i | 0.185189 | − | 0.0981811i | −0.373234 | − | 0.927737i | \(-0.621751\pi\) |
0.558424 | + | 0.829556i | \(0.311406\pi\) | |||||||
\(104\) | −0.0923669 | − | 0.0784572i | −0.00905732 | − | 0.00769336i | ||||
\(105\) | 1.29782 | + | 1.45614i | 0.126654 | + | 0.142105i | ||||
\(106\) | −1.92399 | + | 17.6908i | −0.186875 | + | 1.71828i | ||||
\(107\) | −1.61150 | − | 1.09262i | −0.155789 | − | 0.105628i | 0.480802 | − | 0.876829i | \(-0.340346\pi\) |
−0.636591 | + | 0.771202i | \(0.719656\pi\) | |||||||
\(108\) | 3.00291 | + | 7.17325i | 0.288955 | + | 0.690246i | ||||
\(109\) | −10.1264 | − | 10.6903i | −0.969935 | − | 1.02395i | −0.999703 | − | 0.0243907i | \(-0.992235\pi\) |
0.0297678 | − | 0.999557i | \(-0.490523\pi\) | |||||||
\(110\) | −1.12374 | + | 0.0609274i | −0.107144 | + | 0.00580920i | ||||
\(111\) | 11.3947 | − | 2.79431i | 1.08153 | − | 0.265224i | ||||
\(112\) | −15.8157 | − | 12.0228i | −1.49444 | − | 1.13605i | ||||
\(113\) | −17.0927 | + | 1.85894i | −1.60794 | + | 0.174874i | −0.867568 | − | 0.497319i | \(-0.834318\pi\) |
−0.740376 | + | 0.672193i | \(0.765352\pi\) | |||||||
\(114\) | −21.7615 | − | 14.0098i | −2.03815 | − | 1.31214i | ||||
\(115\) | 0.678070 | − | 0.270168i | 0.0632304 | − | 0.0251933i | ||||
\(116\) | 4.74587 | + | 7.88769i | 0.440643 | + | 0.732354i | ||||
\(117\) | 0.0649673 | − | 0.380717i | 0.00600623 | − | 0.0351973i | ||||
\(118\) | 4.38661 | + | 13.6768i | 0.403820 | + | 1.25905i | ||||
\(119\) | 11.4881i | 1.05312i | ||||||||
\(120\) | −0.394222 | + | 0.193917i | −0.0359874 | + | 0.0177022i | ||||
\(121\) | 2.22494 | + | 5.58418i | 0.202267 | + | 0.507653i | ||||
\(122\) | 1.95826 | + | 1.03821i | 0.177293 | + | 0.0939947i | ||||
\(123\) | 10.9663 | − | 0.261293i | 0.988795 | − | 0.0235600i | ||||
\(124\) | −5.48126 | + | 7.21047i | −0.492231 | + | 0.647519i | ||||
\(125\) | 0.854115 | + | 2.53492i | 0.0763943 | + | 0.226730i | ||||
\(126\) | 2.68684 | − | 23.2912i | 0.239363 | − | 2.07494i | ||||
\(127\) | −3.86797 | + | 3.66394i | −0.343227 | + | 0.325122i | −0.839823 | − | 0.542860i | \(-0.817342\pi\) |
0.496596 | + | 0.867982i | \(0.334583\pi\) | |||||||
\(128\) | 5.80535 | − | 4.41311i | 0.513125 | − | 0.390068i | ||||
\(129\) | 3.42395 | − | 4.23126i | 0.301462 | − | 0.372542i | ||||
\(130\) | −0.0644855 | − | 0.00701322i | −0.00565575 | − | 0.000615100i | ||||
\(131\) | 11.7664 | + | 11.1458i | 1.02804 | + | 0.973809i | 0.999667 | − | 0.0257884i | \(-0.00820962\pi\) |
0.0283703 | + | 0.999597i | \(0.490968\pi\) | |||||||
\(132\) | 4.08062 | + | 4.10731i | 0.355172 | + | 0.357496i | ||||
\(133\) | 15.6440 | + | 29.5077i | 1.35651 | + | 2.55864i | ||||
\(134\) | −10.1873 | + | 6.90713i | −0.880045 | + | 0.596685i | ||||
\(135\) | −1.17227 | − | 0.765555i | −0.100893 | − | 0.0658885i | ||||
\(136\) | −2.49322 | − | 0.692238i | −0.213792 | − | 0.0593589i | ||||
\(137\) | −14.8237 | + | 2.43022i | −1.26648 | + | 0.207628i | −0.757319 | − | 0.653046i | \(-0.773491\pi\) |
−0.509157 | + | 0.860674i | \(0.670043\pi\) | |||||||
\(138\) | −7.84717 | − | 3.92377i | −0.667996 | − | 0.334013i | ||||
\(139\) | −10.8044 | − | 12.7199i | −0.916417 | − | 1.07889i | −0.996623 | − | 0.0821109i | \(-0.973834\pi\) |
0.0802065 | − | 0.996778i | \(-0.474442\pi\) | |||||||
\(140\) | −1.68291 | − | 0.0912447i | −0.142232 | − | 0.00771158i | ||||
\(141\) | 9.23641 | − | 1.74111i | 0.777846 | − | 0.146628i | ||||
\(142\) | −6.22995 | − | 13.4658i | −0.522806 | − | 1.13003i | ||||
\(143\) | −0.0618151 | − | 0.280829i | −0.00516924 | − | 0.0234841i | ||||
\(144\) | 13.2127 | + | 5.36452i | 1.10106 | + | 0.447044i | ||||
\(145\) | −1.50420 | − | 0.695916i | −0.124917 | − | 0.0577927i | ||||
\(146\) | 8.81561 | + | 1.44525i | 0.729585 | + | 0.119609i | ||||
\(147\) | −10.6254 | + | 14.6911i | −0.876365 | + | 1.21170i | ||||
\(148\) | −5.22630 | + | 8.68619i | −0.429600 | + | 0.714000i | ||||
\(149\) | 2.81849 | − | 17.1920i | 0.230900 | − | 1.40843i | −0.575860 | − | 0.817548i | \(-0.695333\pi\) |
0.806760 | − | 0.590879i | \(-0.201219\pi\) | |||||||
\(150\) | 7.89955 | − | 13.8665i | 0.644995 | − | 1.13219i | ||||
\(151\) | −3.44649 | + | 15.6576i | −0.280472 | + | 1.27420i | 0.599963 | + | 0.800028i | \(0.295182\pi\) |
−0.880435 | + | 0.474168i | \(0.842749\pi\) | |||||||
\(152\) | −7.34656 | + | 1.61710i | −0.595885 | + | 0.131164i | ||||
\(153\) | −2.15423 | − | 7.95980i | −0.174159 | − | 0.643512i | ||||
\(154\) | −4.66996 | − | 16.8197i | −0.376316 | − | 1.35537i | ||||
\(155\) | 0.0882856 | − | 1.62833i | 0.00709127 | − | 0.130791i | ||||
\(156\) | 0.193802 | + | 0.271671i | 0.0155166 | + | 0.0217511i | ||||
\(157\) | 21.8661 | + | 8.71227i | 1.74511 | + | 0.695315i | 0.999584 | + | 0.0288367i | \(0.00918029\pi\) |
0.745525 | + | 0.666478i | \(0.232199\pi\) | |||||||
\(158\) | −1.45932 | − | 8.90145i | −0.116097 | − | 0.708161i | ||||
\(159\) | −5.73457 | + | 15.4534i | −0.454781 | + | 1.22554i | ||||
\(160\) | 0.602748 | − | 1.78889i | 0.0476514 | − | 0.141424i | ||||
\(161\) | 6.35356 | + | 9.37080i | 0.500731 | + | 0.738522i | ||||
\(162\) | 2.50586 | + | 16.6416i | 0.196879 | + | 1.30749i | ||||
\(163\) | −1.80672 | + | 2.12703i | −0.141513 | + | 0.166602i | −0.828353 | − | 0.560207i | \(-0.810722\pi\) |
0.686840 | + | 0.726809i | \(0.258997\pi\) | |||||||
\(164\) | −6.51807 | + | 6.88104i | −0.508976 | + | 0.537319i | ||||
\(165\) | −1.02310 | − | 0.199776i | −0.0796480 | − | 0.0155525i | ||||
\(166\) | −4.33148 | + | 6.38845i | −0.336188 | + | 0.495840i | ||||
\(167\) | −4.45028 | − | 5.85424i | −0.344373 | − | 0.453015i | 0.591003 | − | 0.806669i | \(-0.298732\pi\) |
−0.935376 | + | 0.353654i | \(0.884939\pi\) | |||||||
\(168\) | −4.25203 | − | 5.32522i | −0.328051 | − | 0.410850i | ||||
\(169\) | 0.702909 | + | 12.9644i | 0.0540699 | + | 0.997260i | ||||
\(170\) | −1.31245 | + | 0.442214i | −0.100660 | + | 0.0339163i | ||||
\(171\) | −16.3725 | − | 17.5115i | −1.25203 | − | 1.33914i | ||||
\(172\) | 0.508492 | + | 4.67550i | 0.0387721 | + | 0.356504i | ||||
\(173\) | 3.53320 | − | 6.66431i | 0.268624 | − | 0.506678i | −0.712100 | − | 0.702078i | \(-0.752256\pi\) |
0.980724 | + | 0.195400i | \(0.0626005\pi\) | |||||||
\(174\) | 5.78533 | + | 19.0631i | 0.438585 | + | 1.44517i | ||||
\(175\) | −17.6460 | + | 10.6172i | −1.33391 | + | 0.802587i | ||||
\(176\) | 10.6171 | 0.800297 | ||||||||
\(177\) | 0.842429 | + | 13.2774i | 0.0633209 | + | 0.997993i | ||||
\(178\) | −17.5750 | −1.31730 | ||||||||
\(179\) | 12.6128 | − | 7.58887i | 0.942725 | − | 0.567219i | 0.0408262 | − | 0.999166i | \(-0.487001\pi\) |
0.901899 | + | 0.431947i | \(0.142173\pi\) | |||||||
\(180\) | 1.18315 | − | 0.252354i | 0.0881867 | − | 0.0188093i | ||||
\(181\) | −3.33419 | + | 6.28895i | −0.247828 | + | 0.467454i | −0.975950 | − | 0.217994i | \(-0.930049\pi\) |
0.728122 | + | 0.685448i | \(0.240394\pi\) | |||||||
\(182\) | −0.108782 | − | 1.00023i | −0.00806346 | − | 0.0741423i | ||||
\(183\) | 1.52371 | + | 1.37597i | 0.112636 | + | 0.101715i | ||||
\(184\) | −2.41654 | + | 0.814228i | −0.178150 | + | 0.0600257i | ||||
\(185\) | −0.0988123 | − | 1.82249i | −0.00726483 | − | 0.133992i | ||||
\(186\) | −15.3174 | + | 12.2305i | −1.12313 | + | 0.896782i | ||||
\(187\) | −3.71546 | − | 4.88761i | −0.271702 | − | 0.357417i | ||||
\(188\) | −4.55755 | + | 6.72188i | −0.332393 | + | 0.490243i | ||||
\(189\) | 7.68807 | − | 20.3107i | 0.559225 | − | 1.47739i | ||||
\(190\) | −2.76887 | + | 2.92306i | −0.200875 | + | 0.212061i | ||||
\(191\) | 7.37969 | − | 8.68804i | 0.533976 | − | 0.628645i | −0.427341 | − | 0.904091i | \(-0.640550\pi\) |
0.961317 | + | 0.275446i | \(0.0888255\pi\) | |||||||
\(192\) | −5.72527 | + | 2.44074i | −0.413186 | + | 0.176145i | ||||
\(193\) | −0.726788 | − | 1.07193i | −0.0523154 | − | 0.0771594i | 0.800632 | − | 0.599157i | \(-0.204497\pi\) |
−0.852947 | + | 0.521997i | \(0.825187\pi\) | |||||||
\(194\) | −6.09884 | + | 18.1007i | −0.437871 | + | 1.29956i | ||||
\(195\) | −0.0563300 | − | 0.0209033i | −0.00403387 | − | 0.00149692i | ||||
\(196\) | −2.53446 | − | 15.4595i | −0.181033 | − | 1.10425i | ||||
\(197\) | 22.1259 | + | 8.81575i | 1.57640 | + | 0.628096i | 0.984099 | − | 0.177620i | \(-0.0568396\pi\) |
0.592303 | + | 0.805715i | \(0.298219\pi\) | |||||||
\(198\) | 6.38965 | + | 10.7782i | 0.454093 | + | 0.765970i | ||||
\(199\) | 0.585492 | − | 10.7988i | 0.0415044 | − | 0.765504i | −0.901511 | − | 0.432756i | \(-0.857541\pi\) |
0.943016 | − | 0.332748i | \(-0.107976\pi\) | |||||||
\(200\) | −1.24092 | − | 4.46938i | −0.0877460 | − | 0.316033i | ||||
\(201\) | −10.7141 | + | 3.89656i | −0.755712 | + | 0.274842i | ||||
\(202\) | 26.5835 | − | 5.85147i | 1.87041 | − | 0.411708i | ||||
\(203\) | 5.52638 | − | 25.1066i | 0.387876 | − | 1.76214i | ||||
\(204\) | 6.19095 | + | 3.52690i | 0.433453 | + | 0.246932i | ||||
\(205\) | 0.276078 | − | 1.68400i | 0.0192821 | − | 0.117616i | ||||
\(206\) | −2.05077 | + | 3.40841i | −0.142884 | + | 0.237475i | ||||
\(207\) | −6.15939 | − | 5.30135i | −0.428107 | − | 0.368469i | ||||
\(208\) | 0.603893 | + | 0.0990033i | 0.0418725 | + | 0.00686464i | ||||
\(209\) | −16.1990 | − | 7.49445i | −1.12051 | − | 0.518402i | ||||
\(210\) | −3.48321 | − | 1.08195i | −0.240365 | − | 0.0746617i | ||||
\(211\) | 2.76961 | + | 12.5825i | 0.190668 | + | 0.866212i | 0.970666 | + | 0.240431i | \(0.0772887\pi\) |
−0.779999 | + | 0.625781i | \(0.784780\pi\) | |||||||
\(212\) | −5.98016 | − | 12.9259i | −0.410719 | − | 0.887755i | ||||
\(213\) | −2.54583 | − | 13.5054i | −0.174438 | − | 0.925373i | ||||
\(214\) | 3.63535 | + | 0.197103i | 0.248508 | + | 0.0134737i | ||||
\(215\) | −0.548184 | − | 0.645372i | −0.0373858 | − | 0.0440140i | ||||
\(216\) | 3.94468 | + | 2.89236i | 0.268401 | + | 0.196800i | ||||
\(217\) | 24.9609 | − | 4.09214i | 1.69446 | − | 0.277792i | ||||
\(218\) | 26.5309 | + | 7.36628i | 1.79690 | + | 0.498908i | ||||
\(219\) | 7.59052 | + | 3.29457i | 0.512920 | + | 0.222626i | ||||
\(220\) | 0.745500 | − | 0.505462i | 0.0502616 | − | 0.0340782i | ||||
\(221\) | −0.165756 | − | 0.312649i | −0.0111500 | − | 0.0210310i | ||||
\(222\) | −15.5632 | + | 15.4621i | −1.04454 | + | 1.03775i | ||||
\(223\) | 9.54916 | + | 9.04544i | 0.639459 | + | 0.605727i | 0.937147 | − | 0.348936i | \(-0.113457\pi\) |
−0.297688 | + | 0.954663i | \(0.596215\pi\) | |||||||
\(224\) | 29.1086 | + | 3.16575i | 1.94490 | + | 0.211520i | ||||
\(225\) | 10.2355 | − | 10.6653i | 0.682364 | − | 0.711019i | ||||
\(226\) | 25.5946 | − | 19.4565i | 1.70253 | − | 1.29423i | ||||
\(227\) | 0.710376 | − | 0.672904i | 0.0471493 | − | 0.0446622i | −0.663762 | − | 0.747944i | \(-0.731041\pi\) |
0.710911 | + | 0.703282i | \(0.248283\pi\) | |||||||
\(228\) | 20.7044 | + | 0.628424i | 1.37118 | + | 0.0416184i | ||||
\(229\) | −7.16551 | − | 21.2665i | −0.473510 | − | 1.40533i | −0.872609 | − | 0.488420i | \(-0.837573\pi\) |
0.399098 | − | 0.916908i | \(-0.369323\pi\) | |||||||
\(230\) | −0.825984 | + | 1.08656i | −0.0544638 | + | 0.0716459i | ||||
\(231\) | −0.385149 | − | 16.1644i | −0.0253409 | − | 1.06354i | ||||
\(232\) | 5.11576 | + | 2.71221i | 0.335866 | + | 0.178065i | ||||
\(233\) | −3.76721 | − | 9.45499i | −0.246798 | − | 0.619417i | 0.752431 | − | 0.658671i | \(-0.228881\pi\) |
−0.999229 | + | 0.0392542i | \(0.987502\pi\) | |||||||
\(234\) | 0.262933 | + | 0.672635i | 0.0171885 | + | 0.0439715i | ||||
\(235\) | − | 1.46219i | − | 0.0953829i | ||||||
\(236\) | −8.65160 | − | 7.56931i | −0.563171 | − | 0.492720i | ||||
\(237\) | 0.705247 | − | 8.32543i | 0.0458107 | − | 0.540795i | ||||
\(238\) | −11.0750 | − | 18.4069i | −0.717888 | − | 1.19314i | ||||
\(239\) | −7.90741 | + | 3.15060i | −0.511488 | + | 0.203795i | −0.611580 | − | 0.791183i | \(-0.709466\pi\) |
0.100092 | + | 0.994978i | \(0.468086\pi\) | |||||||
\(240\) | 1.20086 | − | 1.86530i | 0.0775154 | − | 0.120405i | ||||
\(241\) | −9.74198 | + | 1.05950i | −0.627536 | + | 0.0682486i | −0.416361 | − | 0.909200i | \(-0.636695\pi\) |
−0.211175 | + | 0.977448i | \(0.567729\pi\) | |||||||
\(242\) | −8.94829 | − | 6.80231i | −0.575218 | − | 0.437269i | ||||
\(243\) | −1.51823 | + | 15.5143i | −0.0973944 | + | 0.995246i | ||||
\(244\) | −1.77133 | + | 0.0960385i | −0.113398 | + | 0.00614824i | ||||
\(245\) | 1.93970 | + | 2.04772i | 0.123923 | + | 0.130824i | ||||
\(246\) | −17.3188 | + | 10.9906i | −1.10421 | + | 0.700735i | ||||
\(247\) | −0.851499 | − | 0.577331i | −0.0541796 | − | 0.0367347i | ||||
\(248\) | −0.615968 | + | 5.66373i | −0.0391140 | + | 0.359647i | ||||
\(249\) | −5.33718 | + | 4.75688i | −0.338230 | + | 0.301455i | ||||
\(250\) | −3.81227 | − | 3.23817i | −0.241109 | − | 0.204800i | ||||
\(251\) | −23.3214 | + | 12.3642i | −1.47203 | + | 0.780423i | −0.995134 | − | 0.0985341i | \(-0.968585\pi\) |
−0.476901 | + | 0.878957i | \(0.658240\pi\) | |||||||
\(252\) | 7.76784 | + | 17.0813i | 0.489328 | + | 1.07602i | ||||
\(253\) | −5.73379 | − | 1.93194i | −0.360480 | − | 0.121460i | ||||
\(254\) | 2.66527 | − | 9.59942i | 0.167234 | − | 0.602321i | ||||
\(255\) | −1.27894 | + | 0.0999442i | −0.0800901 | + | 0.00625875i | ||||
\(256\) | −7.70724 | + | 19.3437i | −0.481703 | + | 1.20898i | ||||
\(257\) | −22.4783 | + | 19.0932i | −1.40216 | + | 1.19100i | −0.447135 | + | 0.894466i | \(0.647556\pi\) |
−0.955022 | + | 0.296536i | \(0.904168\pi\) | |||||||
\(258\) | −1.40691 | + | 10.0804i | −0.0875904 | + | 0.627575i | ||||
\(259\) | 27.2782 | − | 7.57375i | 1.69498 | − | 0.470610i | ||||
\(260\) | 0.0471168 | − | 0.0217985i | 0.00292206 | − | 0.00135189i | ||||
\(261\) | 0.878855 | + | 18.4319i | 0.0543997 | + | 1.14091i | ||||
\(262\) | −29.5977 | − | 6.51495i | −1.82855 | − | 0.402495i | ||||
\(263\) | −2.77858 | + | 6.00581i | −0.171335 | + | 0.370334i | −0.974153 | − | 0.225890i | \(-0.927471\pi\) |
0.802818 | + | 0.596224i | \(0.203333\pi\) | |||||||
\(264\) | 3.53128 | + | 0.890425i | 0.217335 | + | 0.0548019i | ||||
\(265\) | 2.19719 | + | 1.32201i | 0.134972 | + | 0.0812102i | ||||
\(266\) | −53.5122 | − | 32.1972i | −3.28104 | − | 1.97414i | ||||
\(267\) | −15.7852 | − | 3.98028i | −0.966036 | − | 0.243589i | ||||
\(268\) | 4.13620 | − | 8.94026i | 0.252659 | − | 0.546113i | ||||
\(269\) | −17.2929 | − | 3.80646i | −1.05437 | − | 0.232084i | −0.346224 | − | 0.938152i | \(-0.612536\pi\) |
−0.708144 | + | 0.706068i | \(0.750467\pi\) | |||||||
\(270\) | 2.61630 | + | 0.0964892i | 0.159223 | + | 0.00587214i | ||||
\(271\) | −4.41552 | + | 2.04284i | −0.268224 | + | 0.124093i | −0.549391 | − | 0.835565i | \(-0.685140\pi\) |
0.281168 | + | 0.959659i | \(0.409278\pi\) | |||||||
\(272\) | 12.5896 | − | 3.49547i | 0.763354 | − | 0.211944i | ||||
\(273\) | 0.128824 | − | 0.923007i | 0.00779676 | − | 0.0558629i | ||||
\(274\) | 21.4084 | − | 18.1845i | 1.29333 | − | 1.09857i | ||||
\(275\) | 4.07365 | − | 10.2241i | 0.245650 | − | 0.616535i | ||||
\(276\) | 7.00047 | − | 0.547062i | 0.421379 | − | 0.0329293i | ||||
\(277\) | 3.81435 | − | 13.7380i | 0.229182 | − | 0.825439i | −0.756093 | − | 0.654464i | \(-0.772894\pi\) |
0.985275 | − | 0.170975i | \(-0.0546918\pi\) | |||||||
\(278\) | 29.5738 | + | 9.96459i | 1.77372 | + | 0.597636i | ||||
\(279\) | −16.5274 | + | 7.51593i | −0.989468 | + | 0.449967i | ||||
\(280\) | −0.936627 | + | 0.496568i | −0.0559742 | + | 0.0296756i | ||||
\(281\) | 8.01051 | + | 6.80419i | 0.477867 | + | 0.405904i | 0.853685 | − | 0.520790i | \(-0.174362\pi\) |
−0.375818 | + | 0.926693i | \(0.622638\pi\) | |||||||
\(282\) | −13.1205 | + | 11.6940i | −0.781316 | + | 0.696365i | ||||
\(283\) | 1.42774 | − | 13.1278i | 0.0848702 | − | 0.780368i | −0.871932 | − | 0.489628i | \(-0.837133\pi\) |
0.956802 | − | 0.290741i | \(-0.0939017\pi\) | |||||||
\(284\) | 9.82866 | + | 6.66400i | 0.583224 | + | 0.395436i | ||||
\(285\) | −3.14889 | + | 1.99830i | −0.186524 | + | 0.118369i | ||||
\(286\) | 0.369774 | + | 0.390366i | 0.0218652 | + | 0.0230828i | ||||
\(287\) | 26.4304 | − | 1.43301i | 1.56014 | − | 0.0845882i | ||||
\(288\) | −20.7621 | + | 3.26491i | −1.22342 | + | 0.192386i | ||||
\(289\) | 7.51873 | + | 5.71559i | 0.442278 | + | 0.336211i | ||||
\(290\) | 3.08099 | − | 0.335078i | 0.180922 | − | 0.0196765i | ||||
\(291\) | −9.57709 | + | 14.8761i | −0.561419 | + | 0.872053i | ||||
\(292\) | −6.64192 | + | 2.64638i | −0.388689 | + | 0.154868i | ||||
\(293\) | −3.13749 | − | 5.21455i | −0.183294 | − | 0.304637i | 0.751563 | − | 0.659661i | \(-0.229300\pi\) |
−0.934857 | + | 0.355024i | \(0.884473\pi\) | |||||||
\(294\) | 2.86168 | − | 33.7820i | 0.166896 | − | 1.97021i | ||||
\(295\) | 2.05407 | + | 0.253839i | 0.119592 | + | 0.0147791i | ||||
\(296\) | 6.37642i | 0.370622i | ||||||||
\(297\) | 3.29796 | + | 11.1276i | 0.191367 | + | 0.645689i | ||||
\(298\) | 12.0579 | + | 30.2631i | 0.698496 | + | 1.75309i | ||||
\(299\) | −0.308118 | − | 0.163354i | −0.0178189 | − | 0.00944698i | ||||
\(300\) | 0.304245 | + | 12.7689i | 0.0175656 | + | 0.737213i | ||||
\(301\) | 7.94846 | − | 10.4560i | 0.458141 | − | 0.602675i | ||||
\(302\) | −9.57241 | − | 28.4099i | −0.550830 | − | 1.63481i | ||||
\(303\) | 25.2014 | + | 0.764919i | 1.44778 | + | 0.0439434i | ||||
\(304\) | 27.5767 | − | 26.1221i | 1.58163 | − | 1.49820i | ||||
\(305\) | 0.254262 | − | 0.193285i | 0.0145590 | − | 0.0110674i | ||||
\(306\) | 11.1252 | + | 10.6768i | 0.635984 | + | 0.610353i | ||||
\(307\) | −8.89451 | − | 0.967337i | −0.507637 | − | 0.0552088i | −0.149283 | − | 0.988795i | \(-0.547696\pi\) |
−0.358354 | + | 0.933586i | \(0.616662\pi\) | |||||||
\(308\) | 10.1427 | + | 9.60769i | 0.577935 | + | 0.547449i | ||||
\(309\) | −2.61384 | + | 2.59685i | −0.148696 | + | 0.147730i | ||||
\(310\) | 1.42832 | + | 2.69410i | 0.0811233 | + | 0.153015i | ||||
\(311\) | 11.1699 | − | 7.57336i | 0.633385 | − | 0.429446i | −0.201791 | − | 0.979429i | \(-0.564676\pi\) |
0.835176 | + | 0.549983i | \(0.185366\pi\) | |||||||
\(312\) | 0.192553 | + | 0.0835753i | 0.0109012 | + | 0.00473152i | ||||
\(313\) | −16.0094 | − | 4.44498i | −0.904904 | − | 0.251245i | −0.216252 | − | 0.976338i | \(-0.569383\pi\) |
−0.688652 | + | 0.725092i | \(0.741797\pi\) | |||||||
\(314\) | −43.4340 | + | 7.12064i | −2.45112 | + | 0.401841i | ||||
\(315\) | −2.88345 | − | 1.76062i | −0.162464 | − | 0.0991999i | ||||
\(316\) | 4.67370 | + | 5.50230i | 0.262916 | + | 0.309529i | ||||
\(317\) | 15.9407 | + | 0.864282i | 0.895321 | + | 0.0485429i | 0.496054 | − | 0.868292i | \(-0.334782\pi\) |
0.399267 | + | 0.916835i | \(0.369265\pi\) | |||||||
\(318\) | −5.70956 | − | 30.2886i | −0.320176 | − | 1.69850i | ||||
\(319\) | 5.76872 | + | 12.4689i | 0.322986 | + | 0.698123i | ||||
\(320\) | 0.208140 | + | 0.945588i | 0.0116354 | + | 0.0528600i | ||||
\(321\) | 3.22049 | + | 1.00034i | 0.179750 | + | 0.0558337i | ||||
\(322\) | −19.2138 | − | 8.88926i | −1.07074 | − | 0.495379i | ||||
\(323\) | −21.6758 | − | 3.55356i | −1.20607 | − | 0.197725i | ||||
\(324\) | −8.58516 | − | 10.3785i | −0.476953 | − | 0.576585i | ||||
\(325\) | 0.327044 | − | 0.543551i | 0.0181411 | − | 0.0301508i | ||||
\(326\) | 0.844264 | − | 5.14978i | 0.0467594 | − | 0.285220i | ||||
\(327\) | 22.1608 | + | 12.6247i | 1.22549 | + | 0.698146i | ||||
\(328\) | −1.28161 | + | 5.82241i | −0.0707650 | + | 0.321489i | ||||
\(329\) | 22.1498 | − | 4.87554i | 1.22116 | − | 0.268797i | ||||
\(330\) | 1.83185 | − | 0.666217i | 0.100840 | − | 0.0366741i | ||||
\(331\) | −3.23376 | − | 11.6470i | −0.177744 | − | 0.640175i | −0.997702 | − | 0.0677520i | \(-0.978417\pi\) |
0.819959 | − | 0.572423i | \(-0.193996\pi\) | |||||||
\(332\) | 0.334438 | − | 6.16834i | 0.0183547 | − | 0.338532i | ||||
\(333\) | −17.4801 | + | 10.3628i | −0.957901 | + | 0.567876i | ||||
\(334\) | 12.7742 | + | 5.08970i | 0.698972 | + | 0.278496i | ||||
\(335\) | 0.286932 | + | 1.75021i | 0.0156767 | + | 0.0956239i | ||||
\(336\) | 32.2605 | + | 11.9714i | 1.75995 | + | 0.653095i | ||||
\(337\) | −10.9383 | + | 32.4638i | −0.595849 | + | 1.76842i | 0.0429886 | + | 0.999076i | \(0.486312\pi\) |
−0.638838 | + | 0.769342i | \(0.720584\pi\) | |||||||
\(338\) | −13.6244 | − | 20.0945i | −0.741071 | − | 1.09300i | ||||
\(339\) | 27.3945 | − | 11.6786i | 1.48786 | − | 0.634292i | ||||
\(340\) | 0.717584 | − | 0.844805i | 0.0389164 | − | 0.0458160i | ||||
\(341\) | −9.29611 | + | 9.81379i | −0.503413 | + | 0.531446i | ||||
\(342\) | 43.1146 | + | 12.2740i | 2.33137 | + | 0.663704i | ||||
\(343\) | −8.13363 | + | 11.9962i | −0.439175 | + | 0.647734i | ||||
\(344\) | 1.79027 | + | 2.35506i | 0.0965249 | + | 0.126976i | ||||
\(345\) | −0.987945 | + | 0.788844i | −0.0531892 | + | 0.0424699i | ||||
\(346\) | 0.763614 | + | 14.0840i | 0.0410522 | + | 0.757162i | ||||
\(347\) | 27.6496 | − | 9.31624i | 1.48431 | − | 0.500122i | 0.543602 | − | 0.839343i | \(-0.317060\pi\) |
0.940707 | + | 0.339221i | \(0.110164\pi\) | |||||||
\(348\) | −11.8333 | − | 10.6860i | −0.634332 | − | 0.572828i | ||||
\(349\) | −0.737310 | − | 6.77945i | −0.0394673 | − | 0.362896i | −0.997173 | − | 0.0751449i | \(-0.976058\pi\) |
0.957705 | − | 0.287751i | \(-0.0929075\pi\) | |||||||
\(350\) | 18.0378 | − | 34.0229i | 0.964160 | − | 1.81860i | ||||
\(351\) | 0.0838217 | + | 0.663681i | 0.00447407 | + | 0.0354247i | ||||
\(352\) | −13.4080 | + | 8.06735i | −0.714651 | + | 0.429991i | ||||
\(353\) | 10.4358 | 0.555439 | 0.277720 | − | 0.960662i | \(-0.410421\pi\) | ||||
0.277720 | + | 0.960662i | \(0.410421\pi\) | |||||||
\(354\) | −14.1498 | − | 20.4616i | −0.752052 | − | 1.08752i | ||||
\(355\) | −2.13800 | −0.113473 | ||||||||
\(356\) | 12.0526 | − | 7.25181i | 0.638787 | − | 0.384345i | ||||
\(357\) | −5.77848 | − | 19.0405i | −0.305830 | − | 1.00773i | ||||
\(358\) | −12.8929 | + | 24.3185i | −0.681409 | + | 1.28527i | ||||
\(359\) | 3.52937 | + | 32.4520i | 0.186273 | + | 1.71275i | 0.598042 | + | 0.801465i | \(0.295945\pi\) |
−0.411769 | + | 0.911288i | \(0.635089\pi\) | |||||||
\(360\) | 0.555847 | − | 0.519692i | 0.0292957 | − | 0.0273902i | ||||
\(361\) | −42.5086 | + | 14.3228i | −2.23729 | + | 0.753832i | ||||
\(362\) | −0.720604 | − | 13.2908i | −0.0378741 | − | 0.698547i | ||||
\(363\) | −6.49645 | − | 8.13612i | −0.340975 | − | 0.427036i | ||||
\(364\) | 0.487318 | + | 0.641056i | 0.0255424 | + | 0.0336005i | ||||
\(365\) | 0.722399 | − | 1.06546i | 0.0378121 | − | 0.0557687i | ||||
\(366\) | −3.76785 | − | 0.735731i | −0.196949 | − | 0.0384573i | ||||
\(367\) | 2.89016 | − | 3.05110i | 0.150865 | − | 0.159266i | −0.646182 | − | 0.763183i | \(-0.723635\pi\) |
0.797047 | + | 0.603917i | \(0.206394\pi\) | |||||||
\(368\) | 8.33603 | − | 9.81393i | 0.434545 | − | 0.511586i | ||||
\(369\) | −18.0441 | + | 5.94905i | −0.939340 | + | 0.309695i | ||||
\(370\) | 1.91527 | + | 2.82482i | 0.0995703 | + | 0.146855i | ||||
\(371\) | −12.6999 | + | 37.6919i | −0.659346 | + | 1.95687i | ||||
\(372\) | 5.45784 | − | 14.7077i | 0.282976 | − | 0.762560i | ||||
\(373\) | −4.10877 | − | 25.0624i | −0.212744 | − | 1.29768i | −0.849900 | − | 0.526945i | \(-0.823337\pi\) |
0.637156 | − | 0.770735i | \(-0.280111\pi\) | |||||||
\(374\) | 10.6650 | + | 4.24930i | 0.551471 | + | 0.219726i | ||||
\(375\) | −2.69067 | − | 3.77178i | −0.138946 | − | 0.194774i | ||||
\(376\) | −0.276560 | + | 5.10085i | −0.0142625 | + | 0.263056i | ||||
\(377\) | 0.211849 | + | 0.763011i | 0.0109108 | + | 0.0392971i | ||||
\(378\) | 7.26216 | + | 39.9544i | 0.373525 | + | 2.05503i | ||||
\(379\) | 21.5640 | − | 4.74660i | 1.10767 | − | 0.243816i | 0.376773 | − | 0.926306i | \(-0.377034\pi\) |
0.730895 | + | 0.682489i | \(0.239103\pi\) | |||||||
\(380\) | 0.692724 | − | 3.14708i | 0.0355360 | − | 0.161442i | ||||
\(381\) | 4.56786 | − | 8.01820i | 0.234018 | − | 0.410785i | ||||
\(382\) | −3.44847 | + | 21.0347i | −0.176439 | + | 1.07623i | ||||
\(383\) | 2.85347 | − | 4.74250i | 0.145805 | − | 0.242330i | −0.775344 | − | 0.631539i | \(-0.782424\pi\) |
0.921150 | + | 0.389208i | \(0.127251\pi\) | |||||||
\(384\) | −7.40205 | + | 10.2344i | −0.377734 | + | 0.522271i | ||||
\(385\) | −2.48223 | − | 0.406941i | −0.126506 | − | 0.0207396i | ||||
\(386\) | 2.19788 | + | 1.01685i | 0.111869 | + | 0.0517562i | ||||
\(387\) | −3.54657 | + | 8.73514i | −0.180282 | + | 0.444032i | ||||
\(388\) | −3.28627 | − | 14.9297i | −0.166835 | − | 0.757938i | ||||
\(389\) | 4.73152 | + | 10.2270i | 0.239898 | + | 0.518530i | 0.989704 | − | 0.143127i | \(-0.0457156\pi\) |
−0.749807 | + | 0.661657i | \(0.769854\pi\) | |||||||
\(390\) | 0.110406 | − | 0.0208121i | 0.00559064 | − | 0.00105386i | ||||
\(391\) | −7.43504 | − | 0.403116i | −0.376006 | − | 0.0203865i | ||||
\(392\) | −6.37933 | − | 7.51033i | −0.322205 | − | 0.379329i | ||||
\(393\) | −25.1080 | − | 12.5546i | −1.26653 | − | 0.633295i | ||||
\(394\) | −43.9499 | + | 7.20522i | −2.21416 | + | 0.362993i | ||||
\(395\) | −1.25243 | − | 0.347735i | −0.0630164 | − | 0.0174964i | ||||
\(396\) | −8.82920 | − | 4.75495i | −0.443684 | − | 0.238945i | ||||
\(397\) | 14.1788 | − | 9.61343i | 0.711611 | − | 0.482484i | −0.150883 | − | 0.988552i | \(-0.548212\pi\) |
0.862494 | + | 0.506067i | \(0.168901\pi\) | |||||||
\(398\) | 9.47235 | + | 17.8667i | 0.474806 | + | 0.895579i | ||||
\(399\) | −40.7707 | − | 41.0374i | −2.04109 | − | 2.05444i | ||||
\(400\) | 17.0042 | + | 16.1073i | 0.850211 | + | 0.805363i | ||||
\(401\) | 7.89518 | + | 0.858653i | 0.394267 | + | 0.0428791i | 0.303105 | − | 0.952957i | \(-0.401977\pi\) |
0.0911613 | + | 0.995836i | \(0.470942\pi\) | |||||||
\(402\) | 13.4102 | − | 16.5721i | 0.668838 | − | 0.826539i | ||||
\(403\) | −0.620267 | + | 0.471515i | −0.0308977 | + | 0.0234878i | ||||
\(404\) | −15.8160 | + | 14.9817i | −0.786877 | + | 0.745369i | ||||
\(405\) | 2.32801 | + | 0.679188i | 0.115680 | + | 0.0337491i | ||||
\(406\) | 15.3492 | + | 45.5547i | 0.761766 | + | 2.26084i | ||||
\(407\) | −9.15597 | + | 12.0445i | −0.453844 | + | 0.597022i | ||||
\(408\) | 4.48047 | − | 0.106756i | 0.221816 | − | 0.00528521i | ||||
\(409\) | −12.2367 | − | 6.48751i | −0.605068 | − | 0.320787i | 0.137557 | − | 0.990494i | \(-0.456075\pi\) |
−0.742626 | + | 0.669707i | \(0.766420\pi\) | |||||||
\(410\) | 1.18110 | + | 2.96434i | 0.0583304 | + | 0.146398i | ||||
\(411\) | 23.3465 | − | 11.4841i | 1.15160 | − | 0.566470i | ||||
\(412\) | − | 3.18362i | − | 0.156845i | ||||||
\(413\) | 3.00385 | + | 31.9621i | 0.147810 | + | 1.57275i | ||||
\(414\) | 14.9796 | + | 2.55619i | 0.736207 | + | 0.125630i | ||||
\(415\) | 0.573404 | + | 0.953005i | 0.0281473 | + | 0.0467812i | ||||
\(416\) | −0.837864 | + | 0.333836i | −0.0410797 | + | 0.0163676i | ||||
\(417\) | 24.3053 | + | 15.6475i | 1.19024 | + | 0.766262i | ||||
\(418\) | 33.1798 | − | 3.60852i | 1.62288 | − | 0.176498i | ||||
\(419\) | 5.07529 | + | 3.85814i | 0.247944 | + | 0.188482i | 0.721763 | − | 0.692140i | \(-0.243332\pi\) |
−0.473819 | + | 0.880622i | \(0.657125\pi\) | |||||||
\(420\) | 2.83516 | − | 0.695266i | 0.138342 | − | 0.0339255i | ||||
\(421\) | −0.000225455 | 0 | 1.22238e-5i | −1.09880e−5 | 0 | 5.95751e-7i | −0.0541444 | − | 0.998533i | \(-0.517243\pi\) |
0.0541334 | + | 0.998534i | \(0.482760\pi\) | |||||||
\(422\) | −16.5676 | − | 17.4902i | −0.806498 | − | 0.851410i | ||||
\(423\) | −14.4327 | + | 7.53159i | −0.701742 | + | 0.366199i | ||||
\(424\) | −7.41484 | − | 5.02739i | −0.360097 | − | 0.244152i | ||||
\(425\) | 1.46437 | − | 13.4646i | 0.0710323 | − | 0.653131i | ||||
\(426\) | 17.0988 | + | 19.1847i | 0.828439 | + | 0.929501i | ||||
\(427\) | 3.77576 | + | 3.20716i | 0.182722 | + | 0.155205i | ||||
\(428\) | −2.57439 | + | 1.36485i | −0.124438 | + | 0.0659727i | ||||
\(429\) | 0.243708 | + | 0.434355i | 0.0117664 | + | 0.0209709i | ||||
\(430\) | 1.50049 | + | 0.505575i | 0.0723601 | + | 0.0243810i | ||||
\(431\) | 8.57173 | − | 30.8726i | 0.412886 | − | 1.48708i | −0.406400 | − | 0.913695i | \(-0.633216\pi\) |
0.819286 | − | 0.573385i | \(-0.194370\pi\) | |||||||
\(432\) | −24.5972 | − | 2.24525i | −1.18343 | − | 0.108025i | ||||
\(433\) | −4.39902 | + | 11.0407i | −0.211403 | + | 0.530583i | −0.995993 | − | 0.0894330i | \(-0.971494\pi\) |
0.784589 | + | 0.620016i | \(0.212874\pi\) | |||||||
\(434\) | −36.0486 | + | 30.6200i | −1.73039 | + | 1.46981i | ||||
\(435\) | 2.84311 | + | 0.396811i | 0.136317 | + | 0.0190257i | ||||
\(436\) | −21.2339 | + | 5.89557i | −1.01692 | + | 0.282347i | ||||
\(437\) | −19.6461 | + | 9.08924i | −0.939799 | + | 0.434798i | ||||
\(438\) | −15.3380 | + | 2.03885i | −0.732878 | + | 0.0974200i | ||||
\(439\) | −5.27968 | − | 1.16214i | −0.251985 | − | 0.0554661i | 0.0871814 | − | 0.996192i | \(-0.472214\pi\) |
−0.339167 | + | 0.940726i | \(0.610145\pi\) | |||||||
\(440\) | 0.237887 | − | 0.514185i | 0.0113408 | − | 0.0245128i | ||||
\(441\) | 10.2210 | − | 29.6936i | 0.486715 | − | 1.41398i | ||||
\(442\) | 0.566989 | + | 0.341146i | 0.0269689 | + | 0.0162267i | ||||
\(443\) | −20.2864 | − | 12.2059i | −0.963836 | − | 0.579921i | −0.0556334 | − | 0.998451i | \(-0.517718\pi\) |
−0.908203 | + | 0.418530i | \(0.862545\pi\) | |||||||
\(444\) | 4.29300 | − | 17.0253i | 0.203737 | − | 0.807987i | ||||
\(445\) | −1.06338 | + | 2.29846i | −0.0504090 | + | 0.108957i | ||||
\(446\) | −24.0203 | − | 5.28727i | −1.13739 | − | 0.250359i | ||||
\(447\) | 3.97613 | + | 29.9119i | 0.188064 | + | 1.41478i | ||||
\(448\) | −13.6301 | + | 6.30595i | −0.643961 | + | 0.297928i | ||||
\(449\) | −5.49601 | + | 1.52596i | −0.259373 | + | 0.0720146i | −0.394781 | − | 0.918775i | \(-0.629179\pi\) |
0.135408 | + | 0.990790i | \(0.456766\pi\) | |||||||
\(450\) | −6.11798 | + | 26.9559i | −0.288404 | + | 1.27071i | ||||
\(451\) | −10.7813 | + | 9.15772i | −0.507671 | + | 0.431220i | ||||
\(452\) | −9.52414 | + | 23.9038i | −0.447978 | + | 1.12434i | ||||
\(453\) | −2.16345 | − | 27.6845i | −0.101648 | − | 1.30073i | ||||
\(454\) | −0.489492 | + | 1.76299i | −0.0229730 | + | 0.0827412i | ||||
\(455\) | −0.137392 | − | 0.0462929i | −0.00644105 | − | 0.00217024i | ||||
\(456\) | 11.3628 | − | 6.37548i | 0.532114 | − | 0.298559i | ||||
\(457\) | 19.7326 | − | 10.4616i | 0.923053 | − | 0.489372i | 0.0621080 | − | 0.998069i | \(-0.480218\pi\) |
0.860945 | + | 0.508698i | \(0.169873\pi\) | |||||||
\(458\) | 31.9827 | + | 27.1663i | 1.49445 | + | 1.26940i | ||||
\(459\) | 7.57417 | + | 12.1091i | 0.353532 | + | 0.565203i | ||||
\(460\) | 0.118106 | − | 1.08596i | 0.00550671 | − | 0.0506333i | ||||
\(461\) | −14.7854 | − | 10.0247i | −0.688623 | − | 0.466898i | 0.166014 | − | 0.986123i | \(-0.446910\pi\) |
−0.854637 | + | 0.519225i | \(0.826221\pi\) | |||||||
\(462\) | 16.2002 | + | 25.5280i | 0.753703 | + | 1.18767i | ||||
\(463\) | 3.90714 | + | 4.12472i | 0.181580 | + | 0.191692i | 0.810431 | − | 0.585834i | \(-0.199233\pi\) |
−0.628851 | + | 0.777526i | \(0.716474\pi\) | |||||||
\(464\) | −29.1952 | + | 1.58292i | −1.35535 | + | 0.0734850i | ||||
\(465\) | 0.672718 | + | 2.74322i | 0.0311966 | + | 0.127214i | ||||
\(466\) | 15.1510 | + | 11.5175i | 0.701857 | + | 0.533538i | ||||
\(467\) | 19.8248 | − | 2.15608i | 0.917384 | − | 0.0997716i | 0.362770 | − | 0.931879i | \(-0.381831\pi\) |
0.554615 | + | 0.832107i | \(0.312866\pi\) | |||||||
\(468\) | −0.457858 | − | 0.352789i | −0.0211645 | − | 0.0163077i | ||||
\(469\) | −25.5560 | + | 10.1824i | −1.18007 | + | 0.470181i | ||||
\(470\) | 1.40961 | + | 2.34280i | 0.0650206 | + | 0.108065i | ||||
\(471\) | −40.6233 | − | 3.44120i | −1.87182 | − | 0.158562i | ||||
\(472\) | −7.11759 | − | 1.27402i | −0.327614 | − | 0.0586417i | ||||
\(473\) | 7.01916i | 0.322741i | ||||||||
\(474\) | 6.89607 | + | 14.0193i | 0.316747 | + | 0.643927i | ||||
\(475\) | −14.5742 | − | 36.5785i | −0.668710 | − | 1.67833i | ||||
\(476\) | 15.1901 | + | 8.05329i | 0.696238 | + | 0.369122i | ||||
\(477\) | 1.73149 | − | 28.4971i | 0.0792797 | − | 1.30479i | ||||
\(478\) | 9.63233 | − | 12.6711i | 0.440572 | − | 0.579563i | ||||
\(479\) | 4.55638 | + | 13.5229i | 0.208186 | + | 0.617875i | 0.999975 | + | 0.00707972i | \(0.00225356\pi\) |
−0.791789 | + | 0.610795i | \(0.790850\pi\) | |||||||
\(480\) | −0.0991940 | + | 3.26810i | −0.00452757 | + | 0.149168i | ||||
\(481\) | −0.633096 | + | 0.599701i | −0.0288667 | + | 0.0273440i | ||||
\(482\) | 14.5877 | − | 11.0893i | 0.664450 | − | 0.505102i | ||||
\(483\) | −15.2439 | − | 12.3354i | −0.693621 | − | 0.561281i | ||||
\(484\) | 8.94335 | + | 0.972648i | 0.406516 | + | 0.0442113i | ||||
\(485\) | 1.99820 | + | 1.89279i | 0.0907335 | + | 0.0859474i | ||||
\(486\) | −12.5239 | − | 26.3215i | −0.568095 | − | 1.19397i | ||||
\(487\) | 3.47967 | + | 6.56335i | 0.157679 | + | 0.297414i | 0.949747 | − | 0.313019i | \(-0.101340\pi\) |
−0.792068 | + | 0.610433i | \(0.790996\pi\) | |||||||
\(488\) | −0.923548 | + | 0.626181i | −0.0418071 | + | 0.0283459i | ||||
\(489\) | 1.92458 | − | 4.43412i | 0.0870324 | − | 0.200518i | ||||
\(490\) | −5.08197 | − | 1.41100i | −0.229580 | − | 0.0637426i | ||||
\(491\) | 36.0859 | − | 5.91598i | 1.62853 | − | 0.266984i | 0.722870 | − | 0.690984i | \(-0.242822\pi\) |
0.905663 | + | 0.423999i | \(0.139374\pi\) | |||||||
\(492\) | 7.34196 | − | 14.6832i | 0.331001 | − | 0.661972i | ||||
\(493\) | 10.9455 | + | 12.8861i | 0.492962 | + | 0.580359i | ||||
\(494\) | 1.92088 | + | 0.104147i | 0.0864247 | + | 0.00468581i | ||||
\(495\) | 1.79617 | − | 0.183504i | 0.0807320 | − | 0.00824787i | ||||
\(496\) | −12.0793 | − | 26.1089i | −0.542375 | − | 1.17233i | ||||
\(497\) | −7.12897 | − | 32.3872i | −0.319778 | − | 1.45277i | ||||
\(498\) | 3.96566 | − | 12.7670i | 0.177705 | − | 0.572102i | ||||
\(499\) | 17.9845 | + | 8.32050i | 0.805095 | + | 0.372477i | 0.778875 | − | 0.627179i | \(-0.215791\pi\) |
0.0262204 | + | 0.999656i | \(0.491653\pi\) | |||||||
\(500\) | 3.95052 | + | 0.647656i | 0.176673 | + | 0.0289640i | ||||
\(501\) | 10.3206 | + | 7.46439i | 0.461089 | + | 0.333484i | ||||
\(502\) | 25.4471 | − | 42.2934i | 1.13576 | − | 1.88765i | ||||
\(503\) | 4.46176 | − | 27.2155i | 0.198940 | − | 1.21348i | −0.678793 | − | 0.734330i | \(-0.737497\pi\) |
0.877733 | − | 0.479150i | \(-0.159055\pi\) | |||||||
\(504\) | 9.72590 | + | 6.68730i | 0.433226 | + | 0.297876i | ||||
\(505\) | 0.843185 | − | 3.83063i | 0.0375213 | − | 0.170461i | ||||
\(506\) | 11.0494 | − | 2.43216i | 0.491207 | − | 0.108123i | ||||
\(507\) | −7.68603 | − | 21.1337i | −0.341349 | − | 0.938580i | ||||
\(508\) | 2.13313 | + | 7.68285i | 0.0946425 | + | 0.340871i | ||||
\(509\) | −2.33997 | + | 43.1581i | −0.103717 | + | 1.91295i | 0.234889 | + | 0.972022i | \(0.424527\pi\) |
−0.338606 | + | 0.940928i | \(0.609955\pi\) | |||||||
\(510\) | 1.95282 | − | 1.39308i | 0.0864725 | − | 0.0616867i | ||||
\(511\) | 18.5487 | + | 7.39049i | 0.820548 | + | 0.326936i | ||||
\(512\) | −3.93970 | − | 24.0311i | −0.174112 | − | 1.06203i | ||||
\(513\) | 35.9440 | + | 20.7884i | 1.58697 | + | 0.917830i | ||||
\(514\) | 17.6091 | − | 52.2621i | 0.776706 | − | 2.30518i | ||||
\(515\) | 0.321669 | + | 0.474426i | 0.0141744 | + | 0.0209057i | ||||
\(516\) | −3.19453 | − | 7.49344i | −0.140632 | − | 0.329880i | ||||
\(517\) | −7.84676 | + | 9.23791i | −0.345100 | + | 0.406283i | ||||
\(518\) | −36.4050 | + | 38.4323i | −1.59955 | + | 1.68862i | ||||
\(519\) | −2.50382 | + | 12.8227i | −0.109906 | + | 0.562852i | ||||
\(520\) | 0.0183255 | − | 0.0270281i | 0.000803628 | − | 0.00118526i | ||||
\(521\) | 2.88153 | + | 3.79059i | 0.126242 | + | 0.166069i | 0.854872 | − | 0.518839i | \(-0.173636\pi\) |
−0.728630 | + | 0.684908i | \(0.759843\pi\) | |||||||
\(522\) | −19.1773 | − | 28.6853i | −0.839367 | − | 1.25552i | ||||
\(523\) | −2.00081 | − | 36.9027i | −0.0874891 | − | 1.61364i | −0.632055 | − | 0.774924i | \(-0.717788\pi\) |
0.544565 | − | 0.838718i | \(-0.316695\pi\) | |||||||
\(524\) | 22.9858 | − | 7.74481i | 1.00414 | − | 0.338333i | ||||
\(525\) | 23.9061 | − | 26.4729i | 1.04335 | − | 1.15537i | ||||
\(526\) | −1.33787 | − | 12.3015i | −0.0583337 | − | 0.536370i | ||||
\(527\) | −7.79213 | + | 14.6975i | −0.339430 | + | 0.640234i | ||||
\(528\) | −17.5969 | + | 5.34037i | −0.765807 | + | 0.232410i | ||||
\(529\) | 13.4201 | − | 8.07458i | 0.583481 | − | 0.351069i | ||||
\(530\) | −4.79491 | −0.208278 | ||||||||
\(531\) | −8.07474 | − | 21.5824i | −0.350414 | − | 0.936595i | ||||
\(532\) | 49.9829 | 2.16703 | ||||||||
\(533\) | −0.698625 | + | 0.420349i | −0.0302608 | + | 0.0182073i | ||||
\(534\) | 29.1289 | − | 8.84014i | 1.26053 | − | 0.382550i | ||||
\(535\) | 0.245735 | − | 0.463505i | 0.0106240 | − | 0.0200391i | ||||
\(536\) | −0.669924 | − | 6.15985i | −0.0289363 | − | 0.266065i | ||||
\(537\) | −17.0874 | + | 18.9220i | −0.737374 | + | 0.816545i | ||||
\(538\) | 31.3771 | − | 10.5722i | 1.35276 | − | 0.455799i | ||||
\(539\) | −1.26581 | − | 23.3465i | −0.0545222 | − | 1.00560i | ||||
\(540\) | −1.83403 | + | 1.01337i | −0.0789239 | + | 0.0436085i | ||||
\(541\) | −4.09017 | − | 5.38053i | −0.175850 | − | 0.231327i | 0.699721 | − | 0.714416i | \(-0.253308\pi\) |
−0.875571 | + | 0.483089i | \(0.839515\pi\) | |||||||
\(542\) | 5.10538 | − | 7.52987i | 0.219295 | − | 0.323436i | ||||
\(543\) | 2.36280 | − | 12.1004i | 0.101397 | − | 0.519279i | ||||
\(544\) | −13.2429 | + | 13.9804i | −0.567786 | + | 0.599404i | ||||
\(545\) | 2.56862 | − | 3.02402i | 0.110028 | − | 0.129535i | ||||
\(546\) | 0.683409 | + | 1.60308i | 0.0292472 | + | 0.0686054i | ||||
\(547\) | −9.09300 | − | 13.4112i | −0.388789 | − | 0.573420i | 0.582050 | − | 0.813153i | \(-0.302251\pi\) |
−0.970839 | + | 0.239732i | \(0.922940\pi\) | |||||||
\(548\) | −7.17821 | + | 21.3042i | −0.306638 | + | 0.910069i | ||||
\(549\) | −3.21751 | − | 1.51413i | −0.137320 | − | 0.0646213i | ||||
\(550\) | 3.32944 | + | 20.3087i | 0.141968 | + | 0.865965i | ||||
\(551\) | 45.6615 | + | 18.1932i | 1.94525 | + | 0.775057i | ||||
\(552\) | 3.59564 | − | 2.56502i | 0.153041 | − | 0.109174i | ||||
\(553\) | 1.09151 | − | 20.1317i | 0.0464157 | − | 0.856087i | ||||
\(554\) | 7.13250 | + | 25.6889i | 0.303031 | + | 1.09142i | ||||
\(555\) | 1.08047 | + | 2.97090i | 0.0458636 | + | 0.126108i | ||||
\(556\) | −24.3928 | + | 5.36926i | −1.03449 | + | 0.227707i | ||||
\(557\) | 3.81460 | − | 17.3299i | 0.161630 | − | 0.734291i | −0.824167 | − | 0.566347i | \(-0.808356\pi\) |
0.985797 | − | 0.167944i | \(-0.0537128\pi\) | |||||||
\(558\) | 19.2353 | − | 27.9755i | 0.814294 | − | 1.18430i | ||||
\(559\) | −0.0654526 | + | 0.399243i | −0.00276835 | + | 0.0168862i | ||||
\(560\) | 2.75981 | − | 4.58683i | 0.116623 | − | 0.193829i | ||||
\(561\) | 8.61648 | + | 6.23189i | 0.363788 | + | 0.263111i | ||||
\(562\) | −19.3943 | − | 3.17954i | −0.818101 | − | 0.134121i | ||||
\(563\) | −23.1927 | − | 10.7301i | −0.977457 | − | 0.452220i | −0.134919 | − | 0.990857i | \(-0.543077\pi\) |
−0.842538 | + | 0.538637i | \(0.818939\pi\) | |||||||
\(564\) | 4.17263 | − | 13.4333i | 0.175700 | − | 0.565644i | ||||
\(565\) | −0.995914 | − | 4.52448i | −0.0418984 | − | 0.190346i | ||||
\(566\) | 10.3682 | + | 22.4104i | 0.435807 | + | 0.941981i | ||||
\(567\) | −2.52606 | + | 37.5302i | −0.106085 | + | 1.57612i | ||||
\(568\) | 7.45841 | + | 0.404383i | 0.312948 | + | 0.0169675i | ||||
\(569\) | 5.75458 | + | 6.77481i | 0.241244 | + | 0.284015i | 0.869438 | − | 0.494042i | \(-0.164481\pi\) |
−0.628193 | + | 0.778057i | \(0.716205\pi\) | |||||||
\(570\) | 3.11886 | − | 6.23743i | 0.130635 | − | 0.261257i | ||||
\(571\) | 23.1523 | − | 3.79563i | 0.968894 | − | 0.158842i | 0.343501 | − | 0.939152i | \(-0.388387\pi\) |
0.625393 | + | 0.780310i | \(0.284939\pi\) | |||||||
\(572\) | −0.414657 | − | 0.115129i | −0.0173377 | − | 0.00481378i | ||||
\(573\) | −7.86110 | + | 18.1116i | −0.328402 | + | 0.756621i | ||||
\(574\) | −40.9666 | + | 27.7760i | −1.70991 | + | 1.15935i | ||||
\(575\) | −6.25219 | − | 11.7929i | −0.260734 | − | 0.491797i | ||||
\(576\) | 8.26142 | − | 6.92509i | 0.344226 | − | 0.288545i | ||||
\(577\) | −16.7752 | − | 15.8903i | −0.698360 | − | 0.661522i | 0.253752 | − | 0.967269i | \(-0.418335\pi\) |
−0.952113 | + | 0.305747i | \(0.901094\pi\) | |||||||
\(578\) | −17.5569 | − | 1.90943i | −0.730273 | − | 0.0794219i | ||||
\(579\) | 1.74376 | + | 1.41106i | 0.0724682 | + | 0.0586415i | ||||
\(580\) | −1.97463 | + | 1.50107i | −0.0819919 | + | 0.0623286i | ||||
\(581\) | −12.5245 | + | 11.8638i | −0.519604 | + | 0.492195i | ||||
\(582\) | 1.00368 | − | 33.0679i | 0.0416041 | − | 1.37071i | ||||
\(583\) | −6.78707 | − | 20.1433i | −0.281092 | − | 0.834251i | ||||
\(584\) | −2.72161 | + | 3.58021i | −0.112621 | + | 0.148150i | ||||
\(585\) | 0.103876 | + | 0.00631154i | 0.00429474 | + | 0.000260950i | ||||
\(586\) | 10.0541 | + | 5.33034i | 0.415330 | + | 0.220194i | ||||
\(587\) | −9.87285 | − | 24.7790i | −0.407496 | − | 1.02274i | −0.979312 | − | 0.202356i | \(-0.935140\pi\) |
0.571816 | − | 0.820382i | \(-0.306239\pi\) | |||||||
\(588\) | 11.9767 | + | 24.3479i | 0.493911 | + | 1.00409i | ||||
\(589\) | 48.3620i | 1.99272i | ||||||||
\(590\) | −3.53584 | + | 1.57349i | −0.145568 | + | 0.0647796i | ||||
\(591\) | −41.1058 | − | 3.48207i | −1.69087 | − | 0.143233i | ||||
\(592\) | −16.5997 | − | 27.5890i | −0.682245 | − | 1.13390i | ||||
\(593\) | 9.40180 | − | 3.74602i | 0.386086 | − | 0.153831i | −0.169016 | − | 0.985613i | \(-0.554059\pi\) |
0.555101 | + | 0.831783i | \(0.312680\pi\) | |||||||
\(594\) | −16.0116 | − | 14.6498i | −0.656965 | − | 0.601089i | ||||
\(595\) | −3.07735 | + | 0.334682i | −0.126159 | + | 0.0137206i | ||||
\(596\) | −20.7563 | − | 15.7785i | −0.850210 | − | 0.646313i | ||||
\(597\) | 4.46133 | + | 18.1924i | 0.182590 | + | 0.744567i | ||||
\(598\) | 0.651161 | − | 0.0353049i | 0.0266279 | − | 0.00144373i | ||||
\(599\) | 8.80242 | + | 9.29260i | 0.359657 | + | 0.379685i | 0.880563 | − | 0.473929i | \(-0.157165\pi\) |
−0.520906 | + | 0.853614i | \(0.674406\pi\) | |||||||
\(600\) | 4.30478 | + | 6.78340i | 0.175742 | + | 0.276931i | ||||
\(601\) | −16.7132 | − | 11.3318i | −0.681746 | − | 0.462235i | 0.170513 | − | 0.985355i | \(-0.445458\pi\) |
−0.852259 | + | 0.523120i | \(0.824768\pi\) | |||||||
\(602\) | −2.65538 | + | 24.4158i | −0.108225 | + | 0.995113i | ||||
\(603\) | 15.7976 | − | 11.8473i | 0.643329 | − | 0.482460i | ||||
\(604\) | 18.2871 | + | 15.5332i | 0.744092 | + | 0.632037i | ||||
\(605\) | −1.43102 | + | 0.758681i | −0.0581794 | + | 0.0308448i | ||||
\(606\) | −41.1164 | + | 23.0696i | −1.67024 | + | 0.937139i | ||||
\(607\) | 3.27795 | + | 1.10447i | 0.133048 | + | 0.0448291i | 0.385038 | − | 0.922901i | \(-0.374188\pi\) |
−0.251990 | + | 0.967730i | \(0.581085\pi\) | |||||||
\(608\) | −14.9771 | + | 53.9426i | −0.607401 | + | 2.18766i | ||||
\(609\) | 3.46904 | + | 44.3916i | 0.140573 | + | 1.79884i | ||||
\(610\) | −0.221056 | + | 0.554809i | −0.00895029 | + | 0.0224635i | ||||
\(611\) | −0.532459 | + | 0.452275i | −0.0215410 | + | 0.0182971i | ||||
\(612\) | −12.0349 | − | 2.73148i | −0.486483 | − | 0.110414i | ||||
\(613\) | 11.7307 | − | 3.25701i | 0.473798 | − | 0.131549i | −0.0224174 | − | 0.999749i | \(-0.507136\pi\) |
0.496216 | + | 0.868199i | \(0.334722\pi\) | |||||||
\(614\) | 15.1838 | − | 7.02476i | 0.612767 | − | 0.283496i | ||||
\(615\) | 0.389471 | + | 2.92994i | 0.0157050 | + | 0.118147i | ||||
\(616\) | 8.58228 | + | 1.88910i | 0.345790 | + | 0.0761141i | ||||
\(617\) | 12.4806 | − | 26.9763i | 0.502448 | − | 1.08602i | −0.475984 | − | 0.879454i | \(-0.657908\pi\) |
0.978432 | − | 0.206570i | \(-0.0662301\pi\) | |||||||
\(618\) | 1.68455 | − | 6.68065i | 0.0677625 | − | 0.268735i | ||||
\(619\) | 0.777755 | + | 0.467960i | 0.0312606 | + | 0.0188089i | 0.531098 | − | 0.847310i | \(-0.321779\pi\) |
−0.499838 | + | 0.866119i | \(0.666607\pi\) | |||||||
\(620\) | −2.09116 | − | 1.25821i | −0.0839831 | − | 0.0505310i | ||||
\(621\) | 12.8752 | + | 5.68835i | 0.516662 | + | 0.228266i | ||||
\(622\) | −10.5959 | + | 22.9026i | −0.424856 | + | 0.918311i | ||||
\(623\) | −38.3636 | − | 8.44446i | −1.53700 | − | 0.338320i | ||||
\(624\) | −1.05069 | + | 0.139667i | −0.0420615 | + | 0.00559115i | ||||
\(625\) | 21.7058 | − | 10.0422i | 0.868231 | − | 0.401686i | ||||
\(626\) | 29.9362 | − | 8.31173i | 1.19649 | − | 0.332204i | ||||
\(627\) | 30.6180 | + | 4.27334i | 1.22276 | + | 0.170661i | ||||
\(628\) | 26.8481 | − | 22.8050i | 1.07136 | − | 0.910018i | ||||
\(629\) | −6.89154 | + | 17.2965i | −0.274784 | + | 0.689655i | ||||
\(630\) | 6.31732 | + | 0.0411919i | 0.251688 | + | 0.00164112i | ||||
\(631\) | 3.19996 | − | 11.5252i | 0.127388 | − | 0.458811i | −0.872149 | − | 0.489241i | \(-0.837274\pi\) |
0.999537 | + | 0.0304300i | \(0.00968766\pi\) | |||||||
\(632\) | 4.30331 | + | 1.44996i | 0.171177 | + | 0.0576761i | ||||
\(633\) | −10.9193 | − | 19.4611i | −0.434002 | − | 0.773511i | ||||
\(634\) | −26.3742 | + | 13.9827i | −1.04745 | + | 0.555325i | ||||
\(635\) | −1.09415 | − | 0.929378i | −0.0434200 | − | 0.0368813i | ||||
\(636\) | 16.4132 | + | 18.4155i | 0.650827 | + | 0.730222i | ||||
\(637\) | 0.145704 | − | 1.33973i | 0.00577302 | − | 0.0530820i | ||||
\(638\) | −21.2634 | − | 14.4170i | −0.841827 | − | 0.570773i | ||||
\(639\) | 11.0126 | + | 21.1034i | 0.435652 | + | 0.834836i | ||||
\(640\) | 1.35127 | + | 1.42652i | 0.0534137 | + | 0.0563882i | ||||
\(641\) | −19.5210 | + | 1.05840i | −0.771033 | + | 0.0418042i | −0.435458 | − | 0.900209i | \(-0.643413\pi\) |
−0.335575 | + | 0.942013i | \(0.608931\pi\) | |||||||
\(642\) | −6.12440 | + | 1.50188i | −0.241711 | + | 0.0592747i | ||||
\(643\) | 26.4157 | + | 20.0807i | 1.04173 | + | 0.791906i | 0.978532 | − | 0.206095i | \(-0.0660756\pi\) |
0.0632021 | + | 0.998001i | \(0.479869\pi\) | |||||||
\(644\) | 16.8444 | − | 1.83194i | 0.663761 | − | 0.0721884i | ||||
\(645\) | 1.23318 | + | 0.793910i | 0.0485565 | + | 0.0312602i | ||||
\(646\) | 38.1557 | − | 15.2026i | 1.50122 | − | 0.598140i | ||||
\(647\) | 15.1072 | + | 25.1083i | 0.593925 | + | 0.987110i | 0.997396 | + | 0.0721182i | \(0.0229759\pi\) |
−0.403471 | + | 0.914992i | \(0.632197\pi\) | |||||||
\(648\) | −7.99278 | − | 2.80966i | −0.313986 | − | 0.110374i | ||||
\(649\) | −11.6151 | − | 12.6267i | −0.455932 | − | 0.495643i | ||||
\(650\) | 1.18619i | 0.0465261i | ||||||||
\(651\) | −39.3121 | + | 19.3376i | −1.54076 | + | 0.757899i | ||||
\(652\) | 1.54593 | + | 3.87999i | 0.0605432 | + | 0.151952i | ||||
\(653\) | 23.8463 | + | 12.6425i | 0.933177 | + | 0.494739i | 0.864351 | − | 0.502890i | \(-0.167730\pi\) |
0.0688261 | + | 0.997629i | \(0.478075\pi\) | |||||||
\(654\) | −47.6778 | + | 1.13602i | −1.86435 | + | 0.0444218i | ||||
\(655\) | −2.64284 | + | 3.47660i | −0.103264 | + | 0.135842i | ||||
\(656\) | −9.61232 | − | 28.5283i | −0.375298 | − | 1.11384i | ||||
\(657\) | −14.2377 | − | 1.64245i | −0.555466 | − | 0.0640780i | ||||
\(658\) | −30.7893 | + | 29.1651i | −1.20029 | + | 1.13698i | ||||
\(659\) | −0.518624 | + | 0.394248i | −0.0202027 | + | 0.0153577i | −0.615227 | − | 0.788350i | \(-0.710936\pi\) |
0.595024 | + | 0.803708i | \(0.297142\pi\) | |||||||
\(660\) | −0.981352 | + | 1.21274i | −0.0381991 | + | 0.0472058i | ||||
\(661\) | 23.2908 | + | 2.53303i | 0.905907 | + | 0.0985233i | 0.549198 | − | 0.835692i | \(-0.314933\pi\) |
0.356709 | + | 0.934216i | \(0.383899\pi\) | |||||||
\(662\) | 16.4094 | + | 15.5438i | 0.637771 | + | 0.604129i | ||||
\(663\) | 0.431986 | + | 0.434812i | 0.0167769 | + | 0.0168867i | ||||
\(664\) | −1.82006 | − | 3.43301i | −0.0706322 | − | 0.133226i | ||||
\(665\) | −7.44851 | + | 5.05022i | −0.288841 | + | 0.195839i | ||||
\(666\) | 18.0173 | − | 33.4552i | 0.698155 | − | 1.29636i | ||||
\(667\) | 16.0549 | + | 4.45761i | 0.621647 | + | 0.172600i | ||||
\(668\) | −10.8604 | + | 1.78048i | −0.420202 | + | 0.0688887i | ||||
\(669\) | −20.3766 | − | 10.1888i | −0.787807 | − | 0.393921i | ||||
\(670\) | −2.14701 | − | 2.52765i | −0.0829461 | − | 0.0976516i | ||||
\(671\) | −2.64364 | − | 0.143334i | −0.102056 | − | 0.00553334i | ||||
\(672\) | −49.8371 | + | 9.39454i | −1.92251 | + | 0.362402i | ||||
\(673\) | −5.30756 | − | 11.4721i | −0.204591 | − | 0.442217i | 0.777934 | − | 0.628346i | \(-0.216268\pi\) |
−0.982525 | + | 0.186129i | \(0.940406\pi\) | |||||||
\(674\) | −13.7705 | − | 62.5601i | −0.530421 | − | 2.40973i | ||||
\(675\) | −11.5997 | + | 22.8251i | −0.446474 | + | 0.878539i | ||||
\(676\) | 17.6348 | + | 8.15873i | 0.678262 | + | 0.313797i | ||||
\(677\) | −1.11038 | − | 0.182037i | −0.0426753 | − | 0.00699625i | 0.140407 | − | 0.990094i | \(-0.455159\pi\) |
−0.183082 | + | 0.983098i | \(0.558607\pi\) | |||||||
\(678\) | −32.6341 | + | 45.1213i | −1.25331 | + | 1.73287i | ||||
\(679\) | −22.0099 | + | 36.5808i | −0.844663 | + | 1.40384i | ||||
\(680\) | 0.112797 | − | 0.688028i | 0.00432555 | − | 0.0263847i | ||||
\(681\) | −0.838914 | + | 1.47259i | −0.0321473 | + | 0.0564298i | ||||
\(682\) | 5.43379 | − | 24.6860i | 0.208071 | − | 0.945275i | ||||
\(683\) | −18.1446 | + | 3.99392i | −0.694282 | + | 0.152823i | −0.548073 | − | 0.836431i | \(-0.684638\pi\) |
−0.146209 | + | 0.989254i | \(0.546707\pi\) | |||||||
\(684\) | −34.6317 | + | 9.37266i | −1.32418 | + | 0.358373i | ||||
\(685\) | −1.08284 | − | 3.90005i | −0.0413733 | − | 0.149013i | ||||
\(686\) | 1.46726 | − | 27.0621i | 0.0560203 | − | 1.03323i | ||||
\(687\) | 22.5731 | + | 31.6430i | 0.861217 | + | 1.20725i | ||||
\(688\) | −13.8769 | − | 5.52907i | −0.529053 | − | 0.210794i | ||||
\(689\) | −0.198209 | − | 1.20902i | −0.00755117 | − | 0.0460601i | ||||
\(690\) | 0.822455 | − | 2.21634i | 0.0313103 | − | 0.0843748i | ||||
\(691\) | 7.98566 | − | 23.7006i | 0.303789 | − | 0.901613i | −0.681664 | − | 0.731665i | \(-0.738743\pi\) |
0.985453 | − | 0.169948i | \(-0.0543600\pi\) | |||||||
\(692\) | −6.33504 | − | 9.34349i | −0.240822 | − | 0.355186i | ||||
\(693\) | 8.76895 | + | 26.5972i | 0.333105 | + | 1.01034i | ||||
\(694\) | −35.3203 | + | 41.5823i | −1.34074 | + | 1.57844i | ||||
\(695\) | 3.09254 | − | 3.26475i | 0.117307 | − | 0.123839i | ||||
\(696\) | −9.84312 | − | 1.92202i | −0.373103 | − | 0.0728541i | ||||
\(697\) | −9.76922 | + | 14.4085i | −0.370035 | + | 0.545762i | ||||
\(698\) | 7.71702 | + | 10.1516i | 0.292094 | + | 0.384243i | ||||
\(699\) | 10.9996 | + | 13.7759i | 0.416044 | + | 0.521051i | ||||
\(700\) | 1.66857 | + | 30.7750i | 0.0630661 | + | 1.16319i | ||||
\(701\) | −23.8370 | + | 8.03163i | −0.900312 | + | 0.303350i | −0.731133 | − | 0.682235i | \(-0.761008\pi\) |
−0.169179 | + | 0.985585i | \(0.554112\pi\) | |||||||
\(702\) | −0.774119 | − | 0.982575i | −0.0292172 | − | 0.0370849i | ||||
\(703\) | 5.85231 | + | 53.8111i | 0.220724 | + | 2.02952i | ||||
\(704\) | 3.75944 | − | 7.09106i | 0.141689 | − | 0.267254i | ||||
\(705\) | 0.735476 | + | 2.42345i | 0.0276996 | + | 0.0912723i | ||||
\(706\) | −16.7207 | + | 10.0605i | −0.629291 | + | 0.378632i | ||||
\(707\) | 60.8393 | 2.28810 | ||||||||
\(708\) | 18.1465 | + | 8.19370i | 0.681989 | + | 0.307938i | ||||
\(709\) | −36.6564 | −1.37666 | −0.688330 | − | 0.725398i | \(-0.741656\pi\) | ||||
−0.688330 | + | 0.725398i | \(0.741656\pi\) | |||||||
\(710\) | 3.42561 | − | 2.06112i | 0.128561 | − | 0.0773525i | ||||
\(711\) | 3.01877 | + | 14.1533i | 0.113213 | + | 0.530792i | ||||
\(712\) | 4.14432 | − | 7.81702i | 0.155315 | − | 0.292955i | ||||
\(713\) | 1.77253 | + | 16.2981i | 0.0663817 | + | 0.610369i | ||||
\(714\) | 27.6144 | + | 24.9370i | 1.03344 | + | 0.933242i | ||||
\(715\) | 0.0734252 | − | 0.0247398i | 0.00274595 | − | 0.000925217i | ||||
\(716\) | −1.19265 | − | 21.9971i | −0.0445713 | − | 0.822069i | ||||
\(717\) | 11.5211 | − | 9.19921i | 0.430262 | − | 0.343551i | ||||
\(718\) | −36.9400 | − | 48.5938i | −1.37859 | − | 1.81350i | ||||
\(719\) | 5.40102 | − | 7.96591i | 0.201424 | − | 0.297078i | −0.713539 | − | 0.700615i | \(-0.752909\pi\) |
0.914963 | + | 0.403537i | \(0.132219\pi\) | |||||||
\(720\) | −1.05208 | + | 3.69560i | −0.0392087 | + | 0.137727i | ||||
\(721\) | −6.11420 | + | 6.45469i | −0.227705 | + | 0.240385i | ||||
\(722\) | 54.3015 | − | 63.9287i | 2.02089 | − | 2.37918i | ||||
\(723\) | 15.6135 | − | 6.65620i | 0.580672 | − | 0.247547i | ||||
\(724\) | 5.97822 | + | 8.81722i | 0.222179 | + | 0.327689i | ||||
\(725\) | −9.67745 | + | 28.7217i | −0.359412 | + | 1.06670i | ||||
\(726\) | 18.2525 | + | 6.77325i | 0.677413 | + | 0.251379i | ||||
\(727\) | 4.60242 | + | 28.0735i | 0.170694 | + | 1.04119i | 0.923683 | + | 0.383156i | \(0.125163\pi\) |
−0.752989 | + | 0.658033i | \(0.771389\pi\) | |||||||
\(728\) | 0.470537 | + | 0.187479i | 0.0174393 | + | 0.00694843i | ||||
\(729\) | −5.28732 | − | 26.4772i | −0.195827 | − | 0.980639i | ||||
\(730\) | −0.130317 | + | 2.40355i | −0.00482324 | + | 0.0889595i | ||||
\(731\) | 2.31091 | + | 8.32315i | 0.0854721 | + | 0.307843i | ||||
\(732\) | 2.88750 | − | 1.05014i | 0.106725 | − | 0.0388144i | ||||
\(733\) | −50.1214 | + | 11.0326i | −1.85128 | + | 0.407497i | −0.994187 | − | 0.107670i | \(-0.965661\pi\) |
−0.857090 | + | 0.515167i | \(0.827730\pi\) | |||||||
\(734\) | −1.68936 | + | 7.67485i | −0.0623555 | + | 0.283284i | ||||
\(735\) | −4.24487 | − | 2.41824i | −0.156574 | − | 0.0891981i | ||||
\(736\) | −3.07026 | + | 18.7277i | −0.113171 | + | 0.690314i | ||||
\(737\) | 7.57957 | − | 12.5973i | 0.279197 | − | 0.464029i | ||||
\(738\) | 23.1761 | − | 26.9272i | 0.853123 | − | 0.991202i | ||||
\(739\) | −7.70379 | − | 1.26297i | −0.283389 | − | 0.0464592i | 0.0184113 | − | 0.999830i | \(-0.494139\pi\) |
−0.301800 | + | 0.953371i | \(0.597587\pi\) | |||||||
\(740\) | −2.47904 | − | 1.14692i | −0.0911312 | − | 0.0421618i | ||||
\(741\) | 1.70168 | + | 0.528572i | 0.0625126 | + | 0.0194176i | ||||
\(742\) | −15.9882 | − | 72.6351i | −0.586945 | − | 2.66652i | ||||
\(743\) | −16.2787 | − | 35.1859i | −0.597208 | − | 1.29084i | −0.936666 | − | 0.350224i | \(-0.886106\pi\) |
0.339458 | − | 0.940621i | \(-0.389756\pi\) | |||||||
\(744\) | −1.82792 | − | 9.69693i | −0.0670148 | − | 0.355507i | ||||
\(745\) | 4.68737 | + | 0.254142i | 0.171732 | + | 0.00931103i | ||||
\(746\) | 30.7444 | + | 36.1951i | 1.12563 | + | 1.32520i | ||||
\(747\) | 6.45318 | − | 10.5687i | 0.236110 | − | 0.386687i | ||||
\(748\) | −9.06718 | + | 1.48649i | −0.331529 | + | 0.0543514i | ||||
\(749\) | 7.84072 | + | 2.17697i | 0.286494 | + | 0.0795446i | ||||
\(750\) | 7.94727 | + | 3.44941i | 0.290193 | + | 0.125955i | ||||
\(751\) | 34.8800 | − | 23.6493i | 1.27279 | − | 0.862974i | 0.277578 | − | 0.960703i | \(-0.410468\pi\) |
0.995213 | + | 0.0977296i | \(0.0311580\pi\) | |||||||
\(752\) | −12.0824 | − | 22.7899i | −0.440601 | − | 0.831062i | ||||
\(753\) | 32.4339 | − | 32.2231i | 1.18196 | − | 1.17428i | ||||
\(754\) | −1.07501 | − | 1.01830i | −0.0391495 | − | 0.0370844i | ||||
\(755\) | −4.29462 | − | 0.467068i | −0.156297 | − | 0.0169984i | ||||
\(756\) | −21.4663 | − | 24.4035i | −0.780721 | − | 0.887546i | ||||
\(757\) | −17.6835 | + | 13.4426i | −0.642718 | + | 0.488581i | −0.875036 | − | 0.484059i | \(-0.839162\pi\) |
0.232318 | + | 0.972640i | \(0.425369\pi\) | |||||||
\(758\) | −29.9750 | + | 28.3938i | −1.08874 | + | 1.03131i | ||||
\(759\) | 10.4750 | + | 0.317938i | 0.380217 | + | 0.0115404i | ||||
\(760\) | −0.647201 | − | 1.92082i | −0.0234764 | − | 0.0696756i | ||||
\(761\) | 7.43391 | − | 9.77915i | 0.269479 | − | 0.354494i | −0.641371 | − | 0.767231i | \(-0.721634\pi\) |
0.910850 | + | 0.412737i | \(0.135427\pi\) | |||||||
\(762\) | 0.411034 | + | 17.2508i | 0.0148902 | + | 0.624929i | ||||
\(763\) | 54.3737 | + | 28.8271i | 1.96846 | + | 1.04361i | ||||
\(764\) | −6.31448 | − | 15.8481i | −0.228450 | − | 0.573365i | ||||
\(765\) | 2.06945 | − | 0.808947i | 0.0748209 | − | 0.0292475i | ||||
\(766\) | 10.3495i | 0.373944i | ||||||||
\(767\) | −0.542913 | − | 0.826506i | −0.0196035 | − | 0.0298434i | ||||
\(768\) | 3.04423 | − | 35.9371i | 0.109849 | − | 1.29677i | ||||
\(769\) | 20.2284 | + | 33.6199i | 0.729456 | + | 1.21236i | 0.970324 | + | 0.241807i | \(0.0777401\pi\) |
−0.240869 | + | 0.970558i | \(0.577432\pi\) | |||||||
\(770\) | 4.36946 | − | 1.74095i | 0.157464 | − | 0.0627395i | ||||
\(771\) | 27.6518 | − | 42.9517i | 0.995857 | − | 1.54687i | ||||
\(772\) | −1.92684 | + | 0.209557i | −0.0693485 | + | 0.00754210i | ||||
\(773\) | −17.9727 | − | 13.6625i | −0.646435 | − | 0.491407i | 0.229834 | − | 0.973230i | \(-0.426182\pi\) |
−0.876269 | + | 0.481823i | \(0.839975\pi\) | |||||||
\(774\) | −2.73855 | − | 17.4149i | −0.0984351 | − | 0.625966i | ||||
\(775\) | −29.7770 | + | 1.61446i | −1.06962 | + | 0.0579932i | ||||
\(776\) | −6.61270 | − | 6.98094i | −0.237382 | − | 0.250601i | ||||
\(777\) | −41.4015 | + | 26.2736i | −1.48527 | + | 0.942559i | ||||
\(778\) | −17.4403 | − | 11.8248i | −0.625266 | − | 0.423941i | ||||
\(779\) | −5.47176 | + | 50.3120i | −0.196046 | + | 1.80261i | ||||
\(780\) | −0.0671270 | + | 0.0598285i | −0.00240353 | + | 0.00214220i | ||||
\(781\) | 13.5076 | + | 11.4734i | 0.483339 | + | 0.410552i | ||||
\(782\) | 12.3014 | − | 6.52179i | 0.439897 | − | 0.233219i | ||||
\(783\) | −10.7278 | − | 30.1071i | −0.383380 | − | 1.07594i | ||||
\(784\) | 47.1532 | + | 15.8878i | 1.68404 | + | 0.567420i | ||||
\(785\) | −1.69675 | + | 6.11113i | −0.0605595 | + | 0.218116i | ||||
\(786\) | 52.3324 | − | 4.08959i | 1.86664 | − | 0.145871i | ||||
\(787\) | 0.849461 | − | 2.13199i | 0.0302800 | − | 0.0759971i | −0.913059 | − | 0.407827i | \(-0.866287\pi\) |
0.943339 | + | 0.331830i | \(0.107666\pi\) | |||||||
\(788\) | 27.1670 | − | 23.0758i | 0.967784 | − | 0.822043i | ||||
\(789\) | 1.58435 | − | 11.3517i | 0.0564043 | − | 0.404131i | ||||
\(790\) | 2.34193 | − | 0.650234i | 0.0833221 | − | 0.0231343i | ||||
\(791\) | 65.2177 | − | 30.1729i | 2.31887 | − | 1.07283i | ||||
\(792\) | −6.30065 | + | 0.300422i | −0.223884 | + | 0.0106750i | ||||
\(793\) | −0.149031 | − | 0.0328042i | −0.00529225 | − | 0.00116491i | ||||
\(794\) | −13.4501 | + | 29.0720i | −0.477328 | + | 1.03173i | ||||
\(795\) | −4.30660 | − | 1.08592i | −0.152739 | − | 0.0385138i | ||||
\(796\) | −13.8682 | − | 8.34419i | −0.491544 | − | 0.295752i | ||||
\(797\) | 13.9363 | + | 8.38517i | 0.493648 | + | 0.297018i | 0.740525 | − | 0.672029i | \(-0.234577\pi\) |
−0.246877 | + | 0.969047i | \(0.579404\pi\) | |||||||
\(798\) | 104.886 | + | 26.4475i | 3.71294 | + | 0.936231i | ||||
\(799\) | −6.26311 | + | 13.5375i | −0.221573 | + | 0.478922i | ||||
\(800\) | −33.7131 | − | 7.42080i | −1.19194 | − | 0.262365i | ||||
\(801\) | 28.1645 | − | 1.34291i | 0.995143 | − | 0.0474495i | ||||
\(802\) | −13.4778 | + | 6.23550i | −0.475918 | + | 0.220183i | ||||
\(803\) | −10.2817 | + | 2.85471i | −0.362834 | + | 0.100740i | ||||
\(804\) | −2.35846 | + | 16.8981i | −0.0831766 | + | 0.595951i | ||||
\(805\) | −2.32507 | + | 1.97493i | −0.0819480 | + | 0.0696073i | ||||
\(806\) | 0.539262 | − | 1.35345i | 0.0189947 | − | 0.0476731i | ||||
\(807\) | 30.5760 | − | 2.38941i | 1.07633 | − | 0.0841111i | ||||
\(808\) | −3.66598 | + | 13.2036i | −0.128969 | + | 0.464503i | ||||
\(809\) | −27.5115 | − | 9.26969i | −0.967252 | − | 0.325905i | −0.209035 | − | 0.977908i | \(-0.567032\pi\) |
−0.758216 | + | 0.652003i | \(0.773929\pi\) | |||||||
\(810\) | −4.38481 | + | 1.15607i | −0.154067 | + | 0.0406200i | ||||
\(811\) | 4.62923 | − | 2.45426i | 0.162554 | − | 0.0861808i | −0.385145 | − | 0.922856i | \(-0.625849\pi\) |
0.547699 | + | 0.836675i | \(0.315504\pi\) | |||||||
\(812\) | −29.3230 | − | 24.9072i | −1.02904 | − | 0.874070i | ||||
\(813\) | 6.29077 | − | 5.60680i | 0.220627 | − | 0.196639i | ||||
\(814\) | 3.05877 | − | 28.1250i | 0.107210 | − | 0.985779i | ||||
\(815\) | −0.622405 | − | 0.422001i | −0.0218019 | − | 0.0147821i | ||||
\(816\) | −19.1078 | + | 12.1259i | −0.668907 | + | 0.424491i | ||||
\(817\) | 17.2697 | + | 18.2314i | 0.604190 | + | 0.637836i | ||||
\(818\) | 25.8605 | − | 1.40212i | 0.904193 | − | 0.0490239i | ||||
\(819\) | 0.250755 | + | 1.59459i | 0.00876209 | + | 0.0557196i | ||||
\(820\) | −2.03312 | − | 1.54554i | −0.0709998 | − | 0.0539726i | ||||
\(821\) | −32.6426 | + | 3.55010i | −1.13924 | + | 0.123899i | −0.658229 | − | 0.752818i | \(-0.728694\pi\) |
−0.481006 | + | 0.876717i | \(0.659729\pi\) | |||||||
\(822\) | −26.3358 | + | 40.9074i | −0.918566 | + | 1.42681i | ||||
\(823\) | 31.4666 | − | 12.5374i | 1.09686 | − | 0.437028i | 0.249675 | − | 0.968330i | \(-0.419676\pi\) |
0.847183 | + | 0.531302i | \(0.178297\pi\) | |||||||
\(824\) | −1.03241 | − | 1.71587i | −0.0359656 | − | 0.0597753i | ||||
\(825\) | −1.60902 | + | 18.9945i | −0.0560190 | + | 0.661303i | ||||
\(826\) | −35.6257 | − | 48.3155i | −1.23958 | − | 1.68111i | ||||
\(827\) | 23.2805i | 0.809542i | 0.914418 | + | 0.404771i | \(0.132649\pi\) | ||||
−0.914418 | + | 0.404771i | \(0.867351\pi\) | |||||||
\(828\) | −11.3275 | + | 4.42791i | −0.393656 | + | 0.153880i | ||||
\(829\) | −9.12582 | − | 22.9041i | −0.316953 | − | 0.795492i | −0.997998 | − | 0.0632499i | \(-0.979853\pi\) |
0.681045 | − | 0.732242i | \(-0.261526\pi\) | |||||||
\(830\) | −1.83747 | − | 0.974166i | −0.0637796 | − | 0.0338138i | ||||
\(831\) | 0.588244 | + | 24.6881i | 0.0204060 | + | 0.856421i | ||||
\(832\) | 0.279957 | − | 0.368277i | 0.00970575 | − | 0.0127677i | ||||
\(833\) | −9.18730 | − | 27.2669i | −0.318321 | − | 0.944743i | ||||
\(834\) | −54.0280 | − | 1.63987i | −1.87084 | − | 0.0567840i | ||||
\(835\) | 1.43854 | − | 1.36265i | 0.0497826 | − | 0.0471566i | ||||
\(836\) | −21.2651 | + | 16.1653i | −0.735470 | + | 0.559089i | ||||
\(837\) | 23.6121 | − | 20.7701i | 0.816153 | − | 0.717921i | ||||
\(838\) | −11.8513 | − | 1.28891i | −0.409396 | − | 0.0445245i | ||||
\(839\) | −5.87964 | − | 5.56949i | −0.202988 | − | 0.192280i | 0.579452 | − | 0.815006i | \(-0.303267\pi\) |
−0.782440 | + | 0.622726i | \(0.786025\pi\) | |||||||
\(840\) | 1.30260 | − | 1.29413i | 0.0449440 | − | 0.0446519i | ||||
\(841\) | −4.13804 | − | 7.80518i | −0.142691 | − | 0.269144i | ||||
\(842\) | 0.000349450 | 0 | 0.000236933i | 1.20429e−5 | 0 | 8.16526e-6i | ||||
\(843\) | −16.6991 | − | 7.24805i | −0.575149 | − | 0.249636i | ||||
\(844\) | 18.5786 | + | 5.15832i | 0.639501 | + | 0.177557i | ||||
\(845\) | −3.45231 | + | 0.565978i | −0.118763 | + | 0.0194702i | ||||
\(846\) | 15.8640 | − | 25.9812i | 0.545416 | − | 0.893252i | ||||
\(847\) | −16.2644 | − | 19.1479i | −0.558851 | − | 0.657930i | ||||
\(848\) | 45.1697 | + | 2.44903i | 1.55114 | + | 0.0841001i | ||||
\(849\) | 4.23689 | + | 22.4763i | 0.145410 | + | 0.771384i | ||||
\(850\) | 10.6342 | + | 22.9854i | 0.364749 | + | 0.788393i | ||||
\(851\) | 3.94449 | + | 17.9200i | 0.135215 | + | 0.614289i | ||||
\(852\) | −19.6420 | − | 6.10118i | −0.672925 | − | 0.209023i | ||||
\(853\) | −38.3599 | − | 17.7472i | −1.31342 | − | 0.607652i | −0.366888 | − | 0.930265i | \(-0.619577\pi\) |
−0.946531 | + | 0.322613i | \(0.895439\pi\) | |||||||
\(854\) | −9.14153 | − | 1.49868i | −0.312817 | − | 0.0512837i | ||||
\(855\) | 4.21385 | − | 4.89587i | 0.144111 | − | 0.167435i | ||||
\(856\) | −0.944912 | + | 1.57046i | −0.0322964 | + | 0.0536771i | ||||
\(857\) | −0.0287685 | + | 0.175480i | −0.000982714 | + | 0.00599429i | −0.987313 | − | 0.158784i | \(-0.949243\pi\) |
0.986331 | + | 0.164778i | \(0.0526909\pi\) | |||||||
\(858\) | −0.809218 | − | 0.461000i | −0.0276262 | − | 0.0157383i | ||||
\(859\) | 0.739526 | − | 3.35970i | 0.0252323 | − | 0.114632i | −0.962321 | − | 0.271916i | \(-0.912343\pi\) |
0.987553 | + | 0.157284i | \(0.0502739\pi\) | |||||||
\(860\) | −1.23762 | + | 0.272421i | −0.0422025 | + | 0.00928947i | ||||
\(861\) | −43.0851 | + | 15.6694i | −1.46834 | + | 0.534013i | ||||
\(862\) | 16.0284 | + | 57.7291i | 0.545929 | + | 1.96626i | ||||
\(863\) | −0.310811 | + | 5.73257i | −0.0105801 | + | 0.195139i | 0.988465 | + | 0.151449i | \(0.0483941\pi\) |
−0.999045 | + | 0.0436897i | \(0.986089\pi\) | |||||||
\(864\) | 32.7690 | − | 15.8545i | 1.11482 | − | 0.539382i | ||||
\(865\) | 1.88811 | + | 0.752292i | 0.0641977 | + | 0.0255787i | ||||
\(866\) | −3.59537 | − | 21.9308i | −0.122176 | − | 0.745239i | ||||
\(867\) | −15.3365 | − | 5.69117i | −0.520855 | − | 0.193282i | ||||
\(868\) | 12.0870 | − | 35.8731i | 0.410261 | − | 1.21761i | ||||
\(869\) | 6.04656 | + | 8.91800i | 0.205115 | + | 0.302523i | ||||
\(870\) | −4.93791 | + | 2.10508i | −0.167411 | + | 0.0713691i | ||||
\(871\) | 0.548588 | − | 0.645847i | 0.0185882 | − | 0.0218837i | ||||
\(872\) | −9.53259 | + | 10.0634i | −0.322814 | + | 0.340791i | ||||
\(873\) | 8.39051 | − | 29.4730i | 0.283976 | − | 0.997510i | ||||
\(874\) | 22.7155 | − | 33.5029i | 0.768363 | − | 1.13325i | ||||
\(875\) | −6.76573 | − | 8.90017i | −0.228724 | − | 0.300881i | ||||
\(876\) | 9.67724 | − | 7.72699i | 0.326964 | − | 0.261071i | ||||
\(877\) | 0.974001 | + | 17.9644i | 0.0328897 | + | 0.606614i | 0.967798 | + | 0.251726i | \(0.0809983\pi\) |
−0.934909 | + | 0.354888i | \(0.884519\pi\) | |||||||
\(878\) | 9.57971 | − | 3.22778i | 0.323300 | − | 0.108932i | ||||
\(879\) | 7.82299 | + | 7.06448i | 0.263863 | + | 0.238279i | ||||
\(880\) | 0.309307 | + | 2.84403i | 0.0104267 | + | 0.0958722i | ||||
\(881\) | 25.1458 | − | 47.4301i | 0.847185 | − | 1.59796i | 0.0464667 | − | 0.998920i | \(-0.485204\pi\) |
0.800718 | − | 0.599041i | \(-0.204451\pi\) | |||||||
\(882\) | 12.2492 | + | 57.4300i | 0.412454 | + | 1.93377i | ||||
\(883\) | 11.1564 | − | 6.71258i | 0.375442 | − | 0.225896i | −0.315308 | − | 0.948989i | \(-0.602108\pi\) |
0.690751 | + | 0.723093i | \(0.257280\pi\) | |||||||
\(884\) | −0.529594 | −0.0178122 | ||||||||
\(885\) | −3.53210 | + | 0.612471i | −0.118730 | + | 0.0205880i | ||||
\(886\) | 44.2709 | 1.48731 | ||||||||
\(887\) | −20.8054 | + | 12.5182i | −0.698577 | + | 0.420320i | −0.820063 | − | 0.572273i | \(-0.806062\pi\) |
0.121486 | + | 0.992593i | \(0.461234\pi\) | |||||||
\(888\) | −3.20731 | − | 10.5683i | −0.107630 | − | 0.354650i | ||||
\(889\) | 10.4302 | − | 19.6735i | 0.349818 | − | 0.659827i | ||||
\(890\) | −0.512008 | − | 4.70784i | −0.0171626 | − | 0.157807i | ||||
\(891\) | −11.0632 | − | 16.7841i | −0.370631 | − | 0.562289i | ||||
\(892\) | 18.6543 | − | 6.28537i | 0.624593 | − | 0.210450i | ||||
\(893\) | 2.34767 | + | 43.3002i | 0.0785618 | + | 1.44899i | ||||
\(894\) | −35.2070 | − | 44.0931i | −1.17750 | − | 1.47469i | ||||
\(895\) | 2.40029 | + | 3.15752i | 0.0802328 | + | 0.105544i | ||||
\(896\) | −17.1038 | + | 25.2262i | −0.571396 | + | 0.842747i | ||||
\(897\) | 0.592842 | + | 0.115762i | 0.0197944 | + | 0.00386517i | ||||
\(898\) | 7.33489 | − | 7.74335i | 0.244769 | − | 0.258399i | ||||
\(899\) | 24.0994 | − | 28.3721i | 0.803761 | − | 0.946261i | ||||
\(900\) | −6.92696 | − | 21.0102i | −0.230899 | − | 0.700341i | ||||
\(901\) | −14.6797 | − | 21.6510i | −0.489052 | − | 0.721298i | ||||
\(902\) | 8.44590 | − | 25.0665i | 0.281218 | − | 0.834625i | ||||
\(903\) | −7.91450 | + | 21.3279i | −0.263378 | + | 0.709748i | ||||
\(904\) | 2.61848 | + | 15.9720i | 0.0870892 | + | 0.531221i | ||||
\(905\) | −1.78176 | − | 0.709920i | −0.0592279 | − | 0.0235985i | ||||
\(906\) | 30.1554 | + | 42.2719i | 1.00185 | + | 1.40439i | ||||
\(907\) | −1.08948 | + | 20.0943i | −0.0361756 | + | 0.667220i | 0.923068 | + | 0.384638i | \(0.125674\pi\) |
−0.959243 | + | 0.282582i | \(0.908809\pi\) | |||||||
\(908\) | −0.391762 | − | 1.41100i | −0.0130011 | − | 0.0468257i | ||||
\(909\) | −42.1538 | + | 11.4084i | −1.39815 | + | 0.378393i | ||||
\(910\) | 0.264765 | − | 0.0582792i | 0.00877687 | − | 0.00193194i | ||||
\(911\) | 0.414012 | − | 1.88088i | 0.0137168 | − | 0.0623162i | −0.969265 | − | 0.246019i | \(-0.920877\pi\) |
0.982982 | + | 0.183703i | \(0.0588084\pi\) | |||||||
\(912\) | −32.5666 | + | 57.1658i | −1.07839 | + | 1.89295i | ||||
\(913\) | 1.49155 | − | 9.09808i | 0.0493632 | − | 0.301102i | ||||
\(914\) | −21.5312 | + | 35.7851i | −0.712188 | + | 1.18367i | ||||
\(915\) | −0.324193 | + | 0.448243i | −0.0107175 | + | 0.0148185i | ||||
\(916\) | −33.1425 | − | 5.43344i | −1.09506 | − | 0.179526i | ||||
\(917\) | −61.4770 | − | 28.4423i | −2.03015 | − | 0.939248i | ||||
\(918\) | −23.8093 | − | 12.0999i | −0.785825 | − | 0.399357i | ||||
\(919\) | −1.08665 | − | 4.93669i | −0.0358452 | − | 0.162846i | 0.955298 | − | 0.295645i | \(-0.0955346\pi\) |
−0.991143 | + | 0.132799i | \(0.957604\pi\) | |||||||
\(920\) | −0.288509 | − | 0.623602i | −0.00951187 | − | 0.0205596i | ||||
\(921\) | 15.2284 | − | 2.87063i | 0.501793 | − | 0.0945904i | ||||
\(922\) | 33.3541 | + | 1.80841i | 1.09846 | + | 0.0595567i | ||||
\(923\) | 0.661311 | + | 0.778556i | 0.0217673 | + | 0.0256265i | ||||
\(924\) | −21.6432 | − | 10.8221i | −0.712010 | − | 0.356021i | ||||
\(925\) | −32.9367 | + | 5.39970i | −1.08295 | + | 0.177541i | ||||
\(926\) | −10.2366 | − | 2.84218i | −0.336396 | − | 0.0933999i | ||||
\(927\) | 3.02599 | − | 5.61878i | 0.0993865 | − | 0.184545i | ||||
\(928\) | 35.6668 | − | 24.1827i | 1.17082 | − | 0.793836i | ||||
\(929\) | −21.8881 | − | 41.2853i | −0.718124 | − | 1.35453i | −0.926432 | − | 0.376463i | \(-0.877140\pi\) |
0.208308 | − | 0.978063i | \(-0.433204\pi\) | |||||||
\(930\) | −3.72243 | − | 3.74679i | −0.122063 | − | 0.122862i | ||||
\(931\) | −60.7286 | − | 57.5252i | −1.99030 | − | 1.88531i | ||||
\(932\) | −15.1426 | − | 1.64686i | −0.496014 | − | 0.0539447i | ||||
\(933\) | −14.7036 | + | 18.1705i | −0.481376 | + | 0.594876i | ||||
\(934\) | −29.6858 | + | 22.5665i | −0.971348 | + | 0.738400i | ||||
\(935\) | 1.20101 | − | 1.13766i | 0.0392772 | − | 0.0372053i | ||||
\(936\) | −0.361177 | − | 0.0416649i | −0.0118054 | − | 0.00136186i | ||||
\(937\) | −0.290777 | − | 0.862996i | −0.00949928 | − | 0.0281928i | 0.942799 | − | 0.333363i | \(-0.108183\pi\) |
−0.952298 | + | 0.305170i | \(0.901287\pi\) | |||||||
\(938\) | 31.1308 | − | 40.9518i | 1.01646 | − | 1.33712i | ||||
\(939\) | 28.7698 | − | 0.685500i | 0.938869 | − | 0.0223704i | ||||
\(940\) | −1.93337 | − | 1.02501i | −0.0630597 | − | 0.0334321i | ||||
\(941\) | 5.92777 | + | 14.8776i | 0.193240 | + | 0.484996i | 0.993388 | − | 0.114807i | \(-0.0366250\pi\) |
−0.800148 | + | 0.599803i | \(0.795246\pi\) | |||||||
\(942\) | 68.4061 | − | 33.6489i | 2.22879 | − | 1.09634i | ||||
\(943\) | 17.1558i | 0.558671i | ||||||||
\(944\) | 34.1125 | − | 13.0169i | 1.11027 | − | 0.423663i | ||||
\(945\) | 5.66463 | + | 1.46771i | 0.184271 | + | 0.0477445i | ||||
\(946\) | −6.76676 | − | 11.2464i | −0.220006 | − | 0.365653i | ||||
\(947\) | −19.4589 | + | 7.75314i | −0.632330 | + | 0.251943i | −0.664207 | − | 0.747548i | \(-0.731231\pi\) |
0.0318772 | + | 0.999492i | \(0.489851\pi\) | |||||||
\(948\) | −10.5139 | − | 6.76871i | −0.341474 | − | 0.219837i | ||||
\(949\) | −0.611435 | + | 0.0664976i | −0.0198480 | + | 0.00215860i | ||||
\(950\) | 58.6146 | + | 44.5577i | 1.90171 | + | 1.44564i | ||||
\(951\) | −26.8550 | + | 6.58565i | −0.870834 | + | 0.213554i | ||||
\(952\) | 10.7986 | − | 0.585483i | 0.349985 | − | 0.0189756i | ||||
\(953\) | 6.76893 | + | 7.14587i | 0.219267 | + | 0.231478i | 0.826344 | − | 0.563165i | \(-0.190417\pi\) |
−0.607077 | + | 0.794643i | \(0.707658\pi\) | |||||||
\(954\) | 24.6981 | + | 47.3287i | 0.799630 | + | 1.53232i | ||||
\(955\) | 2.54227 | + | 1.72370i | 0.0822659 | + | 0.0557777i | ||||
\(956\) | −1.37731 | + | 12.6641i | −0.0445452 | + | 0.409587i | ||||
\(957\) | −15.8329 | − | 17.7644i | −0.511805 | − | 0.574240i | ||||
\(958\) | −20.3370 | − | 17.2744i | −0.657060 | − | 0.558112i | ||||
\(959\) | 55.4687 | − | 29.4077i | 1.79118 | − | 0.949623i | ||||
\(960\) | −0.820598 | − | 1.46253i | −0.0264847 | − | 0.0472030i | ||||
\(961\) | 5.33246 | + | 1.79671i | 0.172015 | + | 0.0579585i | ||||
\(962\) | 0.436242 | − | 1.57120i | 0.0140650 | − | 0.0506575i | ||||
\(963\) | −5.84083 | − | 0.0380850i | −0.188218 | − | 0.00122727i | ||||
\(964\) | −5.42829 | + | 13.6240i | −0.174834 | + | 0.438799i | ||||
\(965\) | 0.265967 | − | 0.225914i | 0.00856177 | − | 0.00727243i | ||||
\(966\) | 36.3164 | + | 5.06866i | 1.16846 | + | 0.163081i | ||||
\(967\) | 24.6112 | − | 6.83327i | 0.791443 | − | 0.219743i | 0.151796 | − | 0.988412i | \(-0.451494\pi\) |
0.639647 | + | 0.768669i | \(0.279080\pi\) | |||||||
\(968\) | 5.13562 | − | 2.37599i | 0.165065 | − | 0.0763672i | ||||
\(969\) | 37.7130 | − | 5.01311i | 1.21152 | − | 0.161044i | ||||
\(970\) | −5.02634 | − | 1.10638i | −0.161386 | − | 0.0355238i | ||||
\(971\) | 1.79271 | − | 3.87488i | 0.0575309 | − | 0.124351i | −0.876678 | − | 0.481078i | \(-0.840245\pi\) |
0.934209 | + | 0.356727i | \(0.116107\pi\) | |||||||
\(972\) | 19.4494 | + | 12.8832i | 0.623841 | + | 0.413228i | ||||
\(973\) | 59.7675 | + | 35.9609i | 1.91606 | + | 1.15285i | ||||
\(974\) | −11.9026 | − | 7.16158i | −0.381385 | − | 0.229472i | ||||
\(975\) | −0.268641 | + | 1.06539i | −0.00860339 | + | 0.0341196i | ||||
\(976\) | 2.36580 | − | 5.11358i | 0.0757273 | − | 0.163682i | ||||
\(977\) | 13.7930 | + | 3.03606i | 0.441276 | + | 0.0971321i | 0.430050 | − | 0.902805i | \(-0.358496\pi\) |
0.0112253 | + | 0.999937i | \(0.496427\pi\) | |||||||
\(978\) | 1.19103 | + | 8.95994i | 0.0380848 | + | 0.286507i | ||||
\(979\) | 19.0528 | − | 8.81476i | 0.608930 | − | 0.281721i | ||||
\(980\) | 4.06733 | − | 1.12929i | 0.129926 | − | 0.0360738i | ||||
\(981\) | −43.0795 | − | 9.77746i | −1.37542 | − | 0.312170i | ||||
\(982\) | −52.1153 | + | 44.2671i | −1.66307 | + | 1.41262i | ||||
\(983\) | −12.4300 | + | 31.1969i | −0.396455 | + | 0.995028i | 0.586296 | + | 0.810097i | \(0.300586\pi\) |
−0.982751 | + | 0.184931i | \(0.940794\pi\) | |||||||
\(984\) | −0.804497 | − | 10.2947i | −0.0256464 | − | 0.328184i | ||||
\(985\) | −1.71690 | + | 6.18371i | −0.0547050 | + | 0.197029i | ||||
\(986\) | −29.9602 | − | 10.0948i | −0.954126 | − | 0.321482i | ||||
\(987\) | −34.2589 | + | 19.2220i | −1.09047 | + | 0.611843i | ||||
\(988\) | −1.36028 | + | 0.721175i | −0.0432763 | + | 0.0229436i | ||||
\(989\) | 6.48814 | + | 5.51108i | 0.206311 | + | 0.175242i | ||||
\(990\) | −2.70101 | + | 2.02560i | −0.0858438 | + | 0.0643779i | ||||
\(991\) | 5.99647 | − | 55.1367i | 0.190484 | − | 1.75147i | −0.375284 | − | 0.926910i | \(-0.622455\pi\) |
0.565769 | − | 0.824564i | \(-0.308580\pi\) | |||||||
\(992\) | 35.0932 | + | 23.7938i | 1.11421 | + | 0.755453i | ||||
\(993\) | 11.2180 | + | 17.6772i | 0.355993 | + | 0.560968i | ||||
\(994\) | 42.6450 | + | 45.0198i | 1.35262 | + | 1.42794i | ||||
\(995\) | 2.90974 | − | 0.157761i | 0.0922449 | − | 0.00500137i | ||||
\(996\) | 2.54835 | + | 10.3917i | 0.0807474 | + | 0.329273i | ||||
\(997\) | 36.8818 | + | 28.0369i | 1.16806 | + | 0.887936i | 0.995282 | − | 0.0970248i | \(-0.0309326\pi\) |
0.172778 | + | 0.984961i | \(0.444726\pi\) | |||||||
\(998\) | −36.8369 | + | 4.00625i | −1.16605 | + | 0.126816i | ||||
\(999\) | 23.7591 | − | 25.9677i | 0.751706 | − | 0.821582i |
(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 | 177.2.f.a.14.3 | ✓ | 504 | |
3.2 | odd | 2 | inner | 177.2.f.a.14.16 | yes | 504 | |
59.38 | odd | 58 | inner | 177.2.f.a.38.16 | yes | 504 | |
177.38 | even | 58 | inner | 177.2.f.a.38.3 | yes | 504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.f.a.14.3 | ✓ | 504 | 1.1 | even | 1 | trivial | |
177.2.f.a.14.16 | yes | 504 | 3.2 | odd | 2 | inner | |
177.2.f.a.38.3 | yes | 504 | 177.38 | even | 58 | inner | |
177.2.f.a.38.16 | yes | 504 | 59.38 | odd | 58 | inner |