Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [183,2,Mod(11,183)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(183, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("183.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 183 = 3 \cdot 61 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 183.g (of order \(4\), degree \(2\), 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: | \(1.46126235699\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(14\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 11.6 | ||
Character | \(\chi\) | \(=\) | 183.11 |
Dual form | 183.2.g.c.50.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/183\mathbb{Z}\right)^\times\).
\(n\) | \(62\) | \(124\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.379018 | + | 0.379018i | −0.268006 | + | 0.268006i | −0.828296 | − | 0.560290i | \(-0.810690\pi\) |
0.560290 | + | 0.828296i | \(0.310690\pi\) | |||||||
\(3\) | −0.171716 | + | 1.72352i | −0.0991403 | + | 0.995073i | ||||
\(4\) | 1.71269i | 0.856346i | ||||||||
\(5\) | 3.88753 | 1.73856 | 0.869278 | − | 0.494324i | \(-0.164584\pi\) | ||||
0.869278 | + | 0.494324i | \(0.164584\pi\) | |||||||
\(6\) | −0.588160 | − | 0.718327i | −0.240115 | − | 0.293256i | ||||
\(7\) | −0.228336 | − | 0.228336i | −0.0863029 | − | 0.0863029i | 0.662637 | − | 0.748940i | \(-0.269437\pi\) |
−0.748940 | + | 0.662637i | \(0.769437\pi\) | |||||||
\(8\) | −1.40718 | − | 1.40718i | −0.497512 | − | 0.497512i | ||||
\(9\) | −2.94103 | − | 0.591911i | −0.980342 | − | 0.197304i | ||||
\(10\) | −1.47344 | + | 1.47344i | −0.465943 | + | 0.465943i | ||||
\(11\) | −0.950712 | − | 0.950712i | −0.286650 | − | 0.286650i | 0.549104 | − | 0.835754i | \(-0.314969\pi\) |
−0.835754 | + | 0.549104i | \(0.814969\pi\) | |||||||
\(12\) | −2.95185 | − | 0.294097i | −0.852127 | − | 0.0848984i | ||||
\(13\) | 3.36668 | 0.933748 | 0.466874 | − | 0.884324i | \(-0.345380\pi\) | ||||
0.466874 | + | 0.884324i | \(0.345380\pi\) | |||||||
\(14\) | 0.173087 | 0.0462594 | ||||||||
\(15\) | −0.667551 | + | 6.70023i | −0.172361 | + | 1.72999i | ||||
\(16\) | −2.35869 | −0.589673 | ||||||||
\(17\) | −2.30066 | − | 2.30066i | −0.557992 | − | 0.557992i | 0.370744 | − | 0.928735i | \(-0.379103\pi\) |
−0.928735 | + | 0.370744i | \(0.879103\pi\) | |||||||
\(18\) | 1.33905 | − | 0.890356i | 0.315616 | − | 0.209859i | ||||
\(19\) | 2.69380i | 0.617999i | 0.951062 | + | 0.309000i | \(0.0999942\pi\) | ||||
−0.951062 | + | 0.309000i | \(0.900006\pi\) | |||||||
\(20\) | 6.65814i | 1.48880i | ||||||||
\(21\) | 0.432750 | − | 0.354332i | 0.0944338 | − | 0.0773216i | ||||
\(22\) | 0.720673 | 0.153648 | ||||||||
\(23\) | −1.83535 | + | 1.83535i | −0.382697 | + | 0.382697i | −0.872073 | − | 0.489376i | \(-0.837225\pi\) |
0.489376 | + | 0.872073i | \(0.337225\pi\) | |||||||
\(24\) | 2.66693 | − | 2.18366i | 0.544384 | − | 0.445737i | ||||
\(25\) | 10.1129 | 2.02258 | ||||||||
\(26\) | −1.27603 | + | 1.27603i | −0.250250 | + | 0.250250i | ||||
\(27\) | 1.52519 | − | 4.96727i | 0.293523 | − | 0.955952i | ||||
\(28\) | 0.391069 | − | 0.391069i | 0.0739051 | − | 0.0739051i | ||||
\(29\) | −6.51667 | − | 6.51667i | −1.21012 | − | 1.21012i | −0.970988 | − | 0.239127i | \(-0.923139\pi\) |
−0.239127 | − | 0.970988i | \(-0.576861\pi\) | |||||||
\(30\) | −2.28649 | − | 2.79252i | −0.417454 | − | 0.509842i | ||||
\(31\) | 4.27632 | − | 4.27632i | 0.768050 | − | 0.768050i | −0.209713 | − | 0.977763i | \(-0.567253\pi\) |
0.977763 | + | 0.209713i | \(0.0672530\pi\) | |||||||
\(32\) | 3.70834 | − | 3.70834i | 0.655548 | − | 0.655548i | ||||
\(33\) | 1.80182 | − | 1.47532i | 0.313657 | − | 0.256820i | ||||
\(34\) | 1.74398 | 0.299090 | ||||||||
\(35\) | −0.887663 | − | 0.887663i | −0.150042 | − | 0.150042i | ||||
\(36\) | 1.01376 | − | 5.03707i | 0.168960 | − | 0.839512i | ||||
\(37\) | −1.99865 | + | 1.99865i | −0.328576 | + | 0.328576i | −0.852045 | − | 0.523469i | \(-0.824638\pi\) |
0.523469 | + | 0.852045i | \(0.324638\pi\) | |||||||
\(38\) | −1.02100 | − | 1.02100i | −0.165627 | − | 0.165627i | ||||
\(39\) | −0.578112 | + | 5.80253i | −0.0925721 | + | 0.929148i | ||||
\(40\) | −5.47044 | − | 5.47044i | −0.864952 | − | 0.864952i | ||||
\(41\) | 10.7872 | 1.68467 | 0.842337 | − | 0.538951i | \(-0.181179\pi\) | ||||
0.842337 | + | 0.538951i | \(0.181179\pi\) | |||||||
\(42\) | −0.0297218 | + | 0.298318i | −0.00458617 | + | 0.0460315i | ||||
\(43\) | −1.53106 | + | 1.53106i | −0.233485 | + | 0.233485i | −0.814146 | − | 0.580661i | \(-0.802794\pi\) |
0.580661 | + | 0.814146i | \(0.302794\pi\) | |||||||
\(44\) | 1.62828 | − | 1.62828i | 0.245472 | − | 0.245472i | ||||
\(45\) | −11.4333 | − | 2.30107i | −1.70438 | − | 0.343024i | ||||
\(46\) | − | 1.39126i | − | 0.205130i | ||||||
\(47\) | 5.44307i | 0.793954i | 0.917829 | + | 0.396977i | \(0.129941\pi\) | ||||
−0.917829 | + | 0.396977i | \(0.870059\pi\) | |||||||
\(48\) | 0.405026 | − | 4.06525i | 0.0584604 | − | 0.586768i | ||||
\(49\) | − | 6.89573i | − | 0.985104i | ||||||
\(50\) | −3.83296 | + | 3.83296i | −0.542063 | + | 0.542063i | ||||
\(51\) | 4.36029 | − | 3.57017i | 0.610562 | − | 0.499923i | ||||
\(52\) | 5.76608i | 0.799611i | ||||||||
\(53\) | −2.50568 | + | 2.50568i | −0.344181 | + | 0.344181i | −0.857937 | − | 0.513755i | \(-0.828254\pi\) |
0.513755 | + | 0.857937i | \(0.328254\pi\) | |||||||
\(54\) | 1.30461 | + | 2.46076i | 0.177535 | + | 0.334867i | ||||
\(55\) | −3.69592 | − | 3.69592i | −0.498358 | − | 0.498358i | ||||
\(56\) | 0.642618i | 0.0858734i | ||||||||
\(57\) | −4.64281 | − | 0.462568i | −0.614955 | − | 0.0612686i | ||||
\(58\) | 4.93987 | 0.648636 | ||||||||
\(59\) | 7.23074 | + | 7.23074i | 0.941362 | + | 0.941362i | 0.998374 | − | 0.0570111i | \(-0.0181570\pi\) |
−0.0570111 | + | 0.998374i | \(0.518157\pi\) | |||||||
\(60\) | −11.4754 | − | 1.14331i | −1.48147 | − | 0.147601i | ||||
\(61\) | 6.12754 | − | 4.84286i | 0.784551 | − | 0.620064i | ||||
\(62\) | 3.24160i | 0.411684i | ||||||||
\(63\) | 0.536388 | + | 0.806697i | 0.0675785 | + | 0.101634i | ||||
\(64\) | − | 1.90634i | − | 0.238292i | ||||||
\(65\) | 13.0880 | 1.62337 | ||||||||
\(66\) | −0.123751 | + | 1.24209i | −0.0152327 | + | 0.152891i | ||||
\(67\) | −9.57908 | + | 9.57908i | −1.17027 | + | 1.17027i | −0.188126 | + | 0.982145i | \(0.560241\pi\) |
−0.982145 | + | 0.188126i | \(0.939759\pi\) | |||||||
\(68\) | 3.94032 | − | 3.94032i | 0.477834 | − | 0.477834i | ||||
\(69\) | −2.84810 | − | 3.47842i | −0.342871 | − | 0.418752i | ||||
\(70\) | 0.672880 | 0.0804245 | ||||||||
\(71\) | −9.84019 | − | 9.84019i | −1.16782 | − | 1.16782i | −0.982721 | − | 0.185095i | \(-0.940741\pi\) |
−0.185095 | − | 0.982721i | \(-0.559259\pi\) | |||||||
\(72\) | 3.30562 | + | 4.97146i | 0.389571 | + | 0.585893i | ||||
\(73\) | 8.20286 | 0.960072 | 0.480036 | − | 0.877249i | \(-0.340624\pi\) | ||||
0.480036 | + | 0.877249i | \(0.340624\pi\) | |||||||
\(74\) | − | 1.51505i | − | 0.176120i | ||||||
\(75\) | −1.73654 | + | 17.4297i | −0.200519 | + | 2.01261i | ||||
\(76\) | −4.61364 | −0.529221 | ||||||||
\(77\) | 0.434164i | 0.0494775i | ||||||||
\(78\) | −1.98014 | − | 2.41837i | −0.224207 | − | 0.273827i | ||||
\(79\) | 3.23163 | + | 3.23163i | 0.363586 | + | 0.363586i | 0.865131 | − | 0.501545i | \(-0.167235\pi\) |
−0.501545 | + | 0.865131i | \(0.667235\pi\) | |||||||
\(80\) | −9.16949 | −1.02518 | ||||||||
\(81\) | 8.29928 | + | 3.48166i | 0.922142 | + | 0.386851i | ||||
\(82\) | −4.08853 | + | 4.08853i | −0.451503 | + | 0.451503i | ||||
\(83\) | − | 9.58604i | − | 1.05221i | −0.850421 | − | 0.526103i | \(-0.823653\pi\) | ||
0.850421 | − | 0.526103i | \(-0.176347\pi\) | |||||||
\(84\) | 0.606862 | + | 0.741167i | 0.0662140 | + | 0.0808680i | ||||
\(85\) | −8.94388 | − | 8.94388i | −0.970100 | − | 0.970100i | ||||
\(86\) | − | 1.16060i | − | 0.125151i | ||||||
\(87\) | 12.3506 | − | 10.1126i | 1.32412 | − | 1.08418i | ||||
\(88\) | 2.67564i | 0.285224i | ||||||||
\(89\) | 6.10470 | + | 6.10470i | 0.647097 | + | 0.647097i | 0.952290 | − | 0.305193i | \(-0.0987210\pi\) |
−0.305193 | + | 0.952290i | \(0.598721\pi\) | |||||||
\(90\) | 5.20558 | − | 3.46129i | 0.548716 | − | 0.364852i | ||||
\(91\) | −0.768733 | − | 0.768733i | −0.0805851 | − | 0.0805851i | ||||
\(92\) | −3.14339 | − | 3.14339i | −0.327721 | − | 0.327721i | ||||
\(93\) | 6.63600 | + | 8.10463i | 0.688121 | + | 0.840411i | ||||
\(94\) | −2.06302 | − | 2.06302i | −0.212784 | − | 0.212784i | ||||
\(95\) | 10.4722i | 1.07443i | ||||||||
\(96\) | 5.75460 | + | 7.02817i | 0.587327 | + | 0.717309i | ||||
\(97\) | 5.16236i | 0.524158i | 0.965046 | + | 0.262079i | \(0.0844081\pi\) | ||||
−0.965046 | + | 0.262079i | \(0.915592\pi\) | |||||||
\(98\) | 2.61360 | + | 2.61360i | 0.264014 | + | 0.264014i | ||||
\(99\) | 2.23333 | + | 3.35881i | 0.224458 | + | 0.337573i | ||||
\(100\) | 17.3202i | 1.73202i | ||||||||
\(101\) | −10.6879 | + | 10.6879i | −1.06349 | + | 1.06349i | −0.0656458 | + | 0.997843i | \(0.520911\pi\) |
−0.997843 | + | 0.0656458i | \(0.979089\pi\) | |||||||
\(102\) | −0.299470 | + | 3.00578i | −0.0296519 | + | 0.297617i | ||||
\(103\) | −11.1788 | −1.10148 | −0.550738 | − | 0.834678i | \(-0.685653\pi\) | ||||
−0.550738 | + | 0.834678i | \(0.685653\pi\) | |||||||
\(104\) | −4.73750 | − | 4.73750i | −0.464550 | − | 0.464550i | ||||
\(105\) | 1.68233 | − | 1.37748i | 0.164178 | − | 0.134428i | ||||
\(106\) | − | 1.89939i | − | 0.184485i | ||||||
\(107\) | −15.0777 | −1.45761 | −0.728807 | − | 0.684719i | \(-0.759925\pi\) | ||||
−0.728807 | + | 0.684719i | \(0.759925\pi\) | |||||||
\(108\) | 8.50740 | + | 2.61218i | 0.818625 | + | 0.251357i | ||||
\(109\) | − | 3.09193i | − | 0.296154i | −0.988976 | − | 0.148077i | \(-0.952692\pi\) | ||
0.988976 | − | 0.148077i | \(-0.0473083\pi\) | |||||||
\(110\) | 2.80164 | 0.267126 | ||||||||
\(111\) | −3.10151 | − | 3.78791i | −0.294382 | − | 0.359532i | ||||
\(112\) | 0.538575 | + | 0.538575i | 0.0508905 | + | 0.0508905i | ||||
\(113\) | −14.0725 | −1.32383 | −0.661916 | − | 0.749578i | \(-0.730256\pi\) | ||||
−0.661916 | + | 0.749578i | \(0.730256\pi\) | |||||||
\(114\) | 1.93503 | − | 1.58438i | 0.181232 | − | 0.148391i | ||||
\(115\) | −7.13497 | + | 7.13497i | −0.665340 | + | 0.665340i | ||||
\(116\) | 11.1610 | − | 11.1610i | 1.03628 | − | 1.03628i | ||||
\(117\) | −9.90148 | − | 1.99277i | −0.915393 | − | 0.184232i | ||||
\(118\) | −5.48116 | −0.504582 | ||||||||
\(119\) | 1.05065i | 0.0963126i | ||||||||
\(120\) | 10.3678 | − | 8.48903i | 0.946442 | − | 0.774939i | ||||
\(121\) | − | 9.19229i | − | 0.835663i | ||||||
\(122\) | −0.486917 | + | 4.15797i | −0.0440834 | + | 0.376445i | ||||
\(123\) | −1.85233 | + | 18.5919i | −0.167019 | + | 1.67638i | ||||
\(124\) | 7.32402 | + | 7.32402i | 0.657716 | + | 0.657716i | ||||
\(125\) | 19.8765 | 1.77781 | ||||||||
\(126\) | −0.509053 | − | 0.102452i | −0.0453500 | − | 0.00912715i | ||||
\(127\) | 0.430154i | 0.0381700i | 0.999818 | + | 0.0190850i | \(0.00607531\pi\) | ||||
−0.999818 | + | 0.0190850i | \(0.993925\pi\) | |||||||
\(128\) | 8.13921 | + | 8.13921i | 0.719411 | + | 0.719411i | ||||
\(129\) | −2.37591 | − | 2.90172i | −0.209187 | − | 0.255482i | ||||
\(130\) | −4.96060 | + | 4.96060i | −0.435074 | + | 0.435074i | ||||
\(131\) | − | 12.8299i | − | 1.12095i | −0.828171 | − | 0.560475i | \(-0.810618\pi\) | ||
0.828171 | − | 0.560475i | \(-0.189382\pi\) | |||||||
\(132\) | 2.52676 | + | 3.08596i | 0.219926 | + | 0.268599i | ||||
\(133\) | 0.615091 | − | 0.615091i | 0.0533351 | − | 0.0533351i | ||||
\(134\) | − | 7.26128i | − | 0.627279i | ||||||
\(135\) | 5.92923 | − | 19.3104i | 0.510307 | − | 1.66198i | ||||
\(136\) | 6.47486i | 0.555215i | ||||||||
\(137\) | − | 0.462159i | − | 0.0394849i | −0.999805 | − | 0.0197425i | \(-0.993715\pi\) | ||
0.999805 | − | 0.0197425i | \(-0.00628463\pi\) | |||||||
\(138\) | 2.39786 | + | 0.238902i | 0.204119 | + | 0.0203367i | ||||
\(139\) | −0.344930 | + | 0.344930i | −0.0292566 | + | 0.0292566i | −0.721584 | − | 0.692327i | \(-0.756586\pi\) |
0.692327 | + | 0.721584i | \(0.256586\pi\) | |||||||
\(140\) | 1.52029 | − | 1.52029i | 0.128488 | − | 0.128488i | ||||
\(141\) | −9.38123 | − | 0.934663i | −0.790042 | − | 0.0787128i | ||||
\(142\) | 7.45921 | 0.625963 | ||||||||
\(143\) | −3.20074 | − | 3.20074i | −0.267659 | − | 0.267659i | ||||
\(144\) | 6.93698 | + | 1.39614i | 0.578082 | + | 0.116345i | ||||
\(145\) | −25.3337 | − | 25.3337i | −2.10385 | − | 2.10385i | ||||
\(146\) | −3.10903 | + | 3.10903i | −0.257305 | + | 0.257305i | ||||
\(147\) | 11.8849 | + | 1.18411i | 0.980250 | + | 0.0976635i | ||||
\(148\) | −3.42307 | − | 3.42307i | −0.281374 | − | 0.281374i | ||||
\(149\) | −12.4434 | −1.01941 | −0.509703 | − | 0.860350i | \(-0.670245\pi\) | ||||
−0.509703 | + | 0.860350i | \(0.670245\pi\) | |||||||
\(150\) | −5.94800 | − | 7.26436i | −0.485652 | − | 0.593132i | ||||
\(151\) | 5.70501 | − | 5.70501i | 0.464267 | − | 0.464267i | −0.435784 | − | 0.900051i | \(-0.643529\pi\) |
0.900051 | + | 0.435784i | \(0.143529\pi\) | |||||||
\(152\) | 3.79064 | − | 3.79064i | 0.307462 | − | 0.307462i | ||||
\(153\) | 5.40451 | + | 8.12809i | 0.436929 | + | 0.657117i | ||||
\(154\) | −0.164556 | − | 0.164556i | −0.0132603 | − | 0.0132603i | ||||
\(155\) | 16.6243 | − | 16.6243i | 1.33530 | − | 1.33530i | ||||
\(156\) | −9.93793 | − | 0.990128i | −0.795672 | − | 0.0792737i | ||||
\(157\) | −4.27339 | + | 4.27339i | −0.341054 | + | 0.341054i | −0.856763 | − | 0.515710i | \(-0.827528\pi\) |
0.515710 | + | 0.856763i | \(0.327528\pi\) | |||||||
\(158\) | −2.44969 | −0.194887 | ||||||||
\(159\) | −3.88832 | − | 4.74885i | −0.308364 | − | 0.376608i | ||||
\(160\) | 14.4163 | − | 14.4163i | 1.13971 | − | 1.13971i | ||||
\(161\) | 0.838153 | 0.0660557 | ||||||||
\(162\) | −4.46518 | + | 1.82597i | −0.350818 | + | 0.143461i | ||||
\(163\) | − | 3.14070i | − | 0.245999i | −0.992407 | − | 0.122999i | \(-0.960749\pi\) | ||
0.992407 | − | 0.122999i | \(-0.0392513\pi\) | |||||||
\(164\) | 18.4751i | 1.44266i | ||||||||
\(165\) | 7.00463 | − | 5.73534i | 0.545310 | − | 0.446495i | ||||
\(166\) | 3.63328 | + | 3.63328i | 0.281997 | + | 0.281997i | ||||
\(167\) | 3.30452 | 0.255712 | 0.127856 | − | 0.991793i | \(-0.459190\pi\) | ||||
0.127856 | + | 0.991793i | \(0.459190\pi\) | |||||||
\(168\) | −1.10756 | − | 0.110348i | −0.0854503 | − | 0.00851352i | ||||
\(169\) | −1.66549 | −0.128115 | ||||||||
\(170\) | 6.77978 | 0.519985 | ||||||||
\(171\) | 1.59449 | − | 7.92253i | 0.121934 | − | 0.605851i | ||||
\(172\) | −2.62224 | − | 2.62224i | −0.199944 | − | 0.199944i | ||||
\(173\) | −3.63087 | + | 3.63087i | −0.276050 | + | 0.276050i | −0.831530 | − | 0.555480i | \(-0.812535\pi\) |
0.555480 | + | 0.831530i | \(0.312535\pi\) | |||||||
\(174\) | −0.848254 | + | 8.51395i | −0.0643060 | + | 0.645441i | ||||
\(175\) | −2.30913 | − | 2.30913i | −0.174554 | − | 0.174554i | ||||
\(176\) | 2.24244 | + | 2.24244i | 0.169030 | + | 0.169030i | ||||
\(177\) | −13.7039 | + | 11.2207i | −1.03005 | + | 0.843398i | ||||
\(178\) | −4.62758 | −0.346852 | ||||||||
\(179\) | 10.1631i | 0.759622i | 0.925064 | + | 0.379811i | \(0.124011\pi\) | ||||
−0.925064 | + | 0.379811i | \(0.875989\pi\) | |||||||
\(180\) | 3.94103 | − | 19.5818i | 0.293747 | − | 1.45954i | ||||
\(181\) | 14.4996 | − | 14.4996i | 1.07774 | − | 1.07774i | 0.0810321 | − | 0.996711i | \(-0.474178\pi\) |
0.996711 | − | 0.0810321i | \(-0.0258216\pi\) | |||||||
\(182\) | 0.582727 | 0.0431946 | ||||||||
\(183\) | 7.29456 | + | 11.3925i | 0.539229 | + | 0.842159i | ||||
\(184\) | 5.16532 | 0.380792 | ||||||||
\(185\) | −7.76980 | + | 7.76980i | −0.571247 | + | 0.571247i | ||||
\(186\) | −5.58696 | − | 0.556635i | −0.409656 | − | 0.0408145i | ||||
\(187\) | 4.37453i | 0.319897i | ||||||||
\(188\) | −9.32230 | −0.679899 | ||||||||
\(189\) | −1.48246 | + | 0.785951i | −0.107833 | + | 0.0571695i | ||||
\(190\) | −3.96915 | − | 3.96915i | −0.287953 | − | 0.287953i | ||||
\(191\) | 8.05488 | + | 8.05488i | 0.582831 | + | 0.582831i | 0.935680 | − | 0.352849i | \(-0.114787\pi\) |
−0.352849 | + | 0.935680i | \(0.614787\pi\) | |||||||
\(192\) | 3.28560 | + | 0.327349i | 0.237118 | + | 0.0236243i | ||||
\(193\) | −13.0598 | + | 13.0598i | −0.940063 | + | 0.940063i | −0.998303 | − | 0.0582400i | \(-0.981451\pi\) |
0.0582400 | + | 0.998303i | \(0.481451\pi\) | |||||||
\(194\) | −1.95662 | − | 1.95662i | −0.140477 | − | 0.140477i | ||||
\(195\) | −2.24743 | + | 22.5575i | −0.160942 | + | 1.61538i | ||||
\(196\) | 11.8102 | 0.843589 | ||||||||
\(197\) | 6.77676 | 0.482824 | 0.241412 | − | 0.970423i | \(-0.422389\pi\) | ||||
0.241412 | + | 0.970423i | \(0.422389\pi\) | |||||||
\(198\) | −2.11952 | − | 0.426575i | −0.150628 | − | 0.0303154i | ||||
\(199\) | −12.4743 | −0.884281 | −0.442140 | − | 0.896946i | \(-0.645781\pi\) | ||||
−0.442140 | + | 0.896946i | \(0.645781\pi\) | |||||||
\(200\) | −14.2306 | − | 14.2306i | −1.00626 | − | 1.00626i | ||||
\(201\) | −14.8648 | − | 18.1546i | −1.04848 | − | 1.28053i | ||||
\(202\) | − | 8.10183i | − | 0.570043i | ||||||
\(203\) | 2.97598i | 0.208873i | ||||||||
\(204\) | 6.11459 | + | 7.46782i | 0.428107 | + | 0.522852i | ||||
\(205\) | 41.9355 | 2.92890 | ||||||||
\(206\) | 4.23694 | − | 4.23694i | 0.295202 | − | 0.295202i | ||||
\(207\) | 6.48418 | − | 4.31145i | 0.450681 | − | 0.299666i | ||||
\(208\) | −7.94096 | −0.550606 | ||||||||
\(209\) | 2.56102 | − | 2.56102i | 0.177150 | − | 0.177150i | ||||
\(210\) | −0.115544 | + | 1.15972i | −0.00797331 | + | 0.0800283i | ||||
\(211\) | 8.83428 | − | 8.83428i | 0.608177 | − | 0.608177i | −0.334292 | − | 0.942469i | \(-0.608497\pi\) |
0.942469 | + | 0.334292i | \(0.108497\pi\) | |||||||
\(212\) | −4.29145 | − | 4.29145i | −0.294738 | − | 0.294738i | ||||
\(213\) | 18.6495 | − | 15.2700i | 1.27784 | − | 1.04628i | ||||
\(214\) | 5.71470 | − | 5.71470i | 0.390649 | − | 0.390649i | ||||
\(215\) | −5.95205 | + | 5.95205i | −0.405927 | + | 0.405927i | ||||
\(216\) | −9.13604 | + | 4.84361i | −0.621629 | + | 0.329566i | ||||
\(217\) | −1.95288 | −0.132570 | ||||||||
\(218\) | 1.17190 | + | 1.17190i | 0.0793709 | + | 0.0793709i | ||||
\(219\) | −1.40856 | + | 14.1378i | −0.0951819 | + | 0.955342i | ||||
\(220\) | 6.32997 | − | 6.32997i | 0.426767 | − | 0.426767i | ||||
\(221\) | −7.74557 | − | 7.74557i | −0.521024 | − | 0.521024i | ||||
\(222\) | 2.61121 | + | 0.260158i | 0.175253 | + | 0.0174606i | ||||
\(223\) | −13.8364 | − | 13.8364i | −0.926554 | − | 0.926554i | 0.0709272 | − | 0.997481i | \(-0.477404\pi\) |
−0.997481 | + | 0.0709272i | \(0.977404\pi\) | |||||||
\(224\) | −1.69349 | −0.113151 | ||||||||
\(225\) | −29.7423 | − | 5.98593i | −1.98282 | − | 0.399062i | ||||
\(226\) | 5.33374 | − | 5.33374i | 0.354795 | − | 0.354795i | ||||
\(227\) | 8.99455 | − | 8.99455i | 0.596989 | − | 0.596989i | −0.342521 | − | 0.939510i | \(-0.611281\pi\) |
0.939510 | + | 0.342521i | \(0.111281\pi\) | |||||||
\(228\) | 0.792236 | − | 7.95169i | 0.0524671 | − | 0.526614i | ||||
\(229\) | 18.9706i | 1.25361i | 0.779175 | + | 0.626806i | \(0.215638\pi\) | ||||
−0.779175 | + | 0.626806i | \(0.784362\pi\) | |||||||
\(230\) | − | 5.40856i | − | 0.356630i | ||||||
\(231\) | −0.748289 | − | 0.0745529i | −0.0492338 | − | 0.00490522i | ||||
\(232\) | 18.3402i | 1.20409i | ||||||||
\(233\) | 0.166154 | − | 0.166154i | 0.0108851 | − | 0.0108851i | −0.701643 | − | 0.712528i | \(-0.747550\pi\) |
0.712528 | + | 0.701643i | \(0.247550\pi\) | |||||||
\(234\) | 4.50813 | − | 2.99754i | 0.294706 | − | 0.195955i | ||||
\(235\) | 21.1601i | 1.38033i | ||||||||
\(236\) | −12.3840 | + | 12.3840i | −0.806132 | + | 0.806132i | ||||
\(237\) | −6.12469 | + | 5.01484i | −0.397841 | + | 0.325749i | ||||
\(238\) | −0.398214 | − | 0.398214i | −0.0258124 | − | 0.0258124i | ||||
\(239\) | − | 1.79216i | − | 0.115925i | −0.998319 | − | 0.0579625i | \(-0.981540\pi\) | ||
0.998319 | − | 0.0579625i | \(-0.0184604\pi\) | |||||||
\(240\) | 1.57455 | − | 15.8038i | 0.101637 | − | 1.02013i | ||||
\(241\) | −12.9491 | −0.834128 | −0.417064 | − | 0.908877i | \(-0.636941\pi\) | ||||
−0.417064 | + | 0.908877i | \(0.636941\pi\) | |||||||
\(242\) | 3.48404 | + | 3.48404i | 0.223963 | + | 0.223963i | ||||
\(243\) | −7.42581 | + | 13.7061i | −0.476366 | + | 0.879247i | ||||
\(244\) | 8.29432 | + | 10.4946i | 0.530989 | + | 0.671847i | ||||
\(245\) | − | 26.8073i | − | 1.71266i | ||||||
\(246\) | −6.34459 | − | 7.74873i | −0.404516 | − | 0.494041i | ||||
\(247\) | 9.06914i | 0.577055i | ||||||||
\(248\) | −12.0351 | −0.764228 | ||||||||
\(249\) | 16.5217 | + | 1.64608i | 1.04702 | + | 0.104316i | ||||
\(250\) | −7.53354 | + | 7.53354i | −0.476463 | + | 0.476463i | ||||
\(251\) | −8.92464 | + | 8.92464i | −0.563319 | + | 0.563319i | −0.930249 | − | 0.366930i | \(-0.880409\pi\) |
0.366930 | + | 0.930249i | \(0.380409\pi\) | |||||||
\(252\) | −1.38162 | + | 0.918666i | −0.0870341 | + | 0.0578705i | ||||
\(253\) | 3.48978 | 0.219400 | ||||||||
\(254\) | −0.163036 | − | 0.163036i | −0.0102298 | − | 0.0102298i | ||||
\(255\) | 16.9507 | − | 13.8791i | 1.06150 | − | 0.869145i | ||||
\(256\) | −2.35714 | −0.147321 | ||||||||
\(257\) | 18.9171i | 1.18002i | 0.807397 | + | 0.590009i | \(0.200876\pi\) | ||||
−0.807397 | + | 0.590009i | \(0.799124\pi\) | |||||||
\(258\) | 2.00031 | + | 0.199294i | 0.124534 | + | 0.0124075i | ||||
\(259\) | 0.912726 | 0.0567141 | ||||||||
\(260\) | 22.4158i | 1.39017i | ||||||||
\(261\) | 15.3084 | + | 23.0230i | 0.947567 | + | 1.42509i | ||||
\(262\) | 4.86275 | + | 4.86275i | 0.300421 | + | 0.300421i | ||||
\(263\) | 25.4939 | 1.57202 | 0.786010 | − | 0.618213i | \(-0.212143\pi\) | ||||
0.786010 | + | 0.618213i | \(0.212143\pi\) | |||||||
\(264\) | −4.61151 | − | 0.459450i | −0.283819 | − | 0.0282772i | ||||
\(265\) | −9.74090 | + | 9.74090i | −0.598379 | + | 0.598379i | ||||
\(266\) | 0.466260i | 0.0285883i | ||||||||
\(267\) | −11.5698 | + | 9.47329i | −0.708063 | + | 0.579756i | ||||
\(268\) | −16.4060 | − | 16.4060i | −1.00216 | − | 1.00216i | ||||
\(269\) | 11.5495i | 0.704185i | 0.935965 | + | 0.352092i | \(0.114530\pi\) | ||||
−0.935965 | + | 0.352092i | \(0.885470\pi\) | |||||||
\(270\) | 5.07171 | + | 9.56627i | 0.308654 | + | 0.582185i | ||||
\(271\) | − | 24.2364i | − | 1.47226i | −0.676841 | − | 0.736129i | \(-0.736652\pi\) | ||
0.676841 | − | 0.736129i | \(-0.263348\pi\) | |||||||
\(272\) | 5.42655 | + | 5.42655i | 0.329033 | + | 0.329033i | ||||
\(273\) | 1.45693 | − | 1.19292i | 0.0881774 | − | 0.0721989i | ||||
\(274\) | 0.175167 | + | 0.175167i | 0.0105822 | + | 0.0105822i | ||||
\(275\) | −9.61444 | − | 9.61444i | −0.579773 | − | 0.579773i | ||||
\(276\) | 5.95745 | − | 4.87791i | 0.358597 | − | 0.293616i | ||||
\(277\) | 12.5831 | + | 12.5831i | 0.756045 | + | 0.756045i | 0.975600 | − | 0.219555i | \(-0.0704606\pi\) |
−0.219555 | + | 0.975600i | \(0.570461\pi\) | |||||||
\(278\) | − | 0.261469i | − | 0.0156819i | ||||||
\(279\) | −15.1080 | + | 10.0456i | −0.904491 | + | 0.601413i | ||||
\(280\) | 2.49819i | 0.149296i | ||||||||
\(281\) | 1.81831 | + | 1.81831i | 0.108471 | + | 0.108471i | 0.759259 | − | 0.650788i | \(-0.225561\pi\) |
−0.650788 | + | 0.759259i | \(0.725561\pi\) | |||||||
\(282\) | 3.90991 | − | 3.20140i | 0.232832 | − | 0.190641i | ||||
\(283\) | 10.3536i | 0.615456i | 0.951474 | + | 0.307728i | \(0.0995687\pi\) | ||||
−0.951474 | + | 0.307728i | \(0.900431\pi\) | |||||||
\(284\) | 16.8532 | − | 16.8532i | 1.00005 | − | 1.00005i | ||||
\(285\) | −18.0490 | − | 1.79825i | −1.06913 | − | 0.106519i | ||||
\(286\) | 2.42627 | 0.143469 | ||||||||
\(287\) | −2.46310 | − | 2.46310i | −0.145392 | − | 0.145392i | ||||
\(288\) | −13.1013 | + | 8.71131i | −0.772003 | + | 0.513319i | ||||
\(289\) | − | 6.41394i | − | 0.377290i | ||||||
\(290\) | 19.2039 | 1.12769 | ||||||||
\(291\) | −8.89741 | − | 0.886459i | −0.521575 | − | 0.0519652i | ||||
\(292\) | 14.0490i | 0.822154i | ||||||||
\(293\) | −12.6037 | −0.736317 | −0.368158 | − | 0.929763i | \(-0.620012\pi\) | ||||
−0.368158 | + | 0.929763i | \(0.620012\pi\) | |||||||
\(294\) | −4.95339 | + | 4.05579i | −0.288887 | + | 0.236539i | ||||
\(295\) | 28.1097 | + | 28.1097i | 1.63661 | + | 1.63661i | ||||
\(296\) | 5.62490 | 0.326941 | ||||||||
\(297\) | −6.17246 | + | 3.27243i | −0.358163 | + | 0.189886i | ||||
\(298\) | 4.71629 | − | 4.71629i | 0.273207 | − | 0.273207i | ||||
\(299\) | −6.17903 | + | 6.17903i | −0.357342 | + | 0.357342i | ||||
\(300\) | −29.8517 | − | 2.97416i | −1.72349 | − | 0.171713i | ||||
\(301\) | 0.699194 | 0.0403008 | ||||||||
\(302\) | 4.32460i | 0.248853i | ||||||||
\(303\) | −16.5855 | − | 20.2561i | −0.952815 | − | 1.16368i | ||||
\(304\) | − | 6.35384i | − | 0.364418i | ||||||
\(305\) | 23.8210 | − | 18.8268i | 1.36399 | − | 1.07802i | ||||
\(306\) | −5.12909 | − | 1.03228i | −0.293211 | − | 0.0590116i | ||||
\(307\) | 15.8851 | + | 15.8851i | 0.906612 | + | 0.906612i | 0.995997 | − | 0.0893848i | \(-0.0284901\pi\) |
−0.0893848 | + | 0.995997i | \(0.528490\pi\) | |||||||
\(308\) | −0.743588 | −0.0423699 | ||||||||
\(309\) | 1.91957 | − | 19.2668i | 0.109201 | − | 1.09605i | ||||
\(310\) | 12.6018i | 0.715735i | ||||||||
\(311\) | 0.902006 | + | 0.902006i | 0.0511481 | + | 0.0511481i | 0.732218 | − | 0.681070i | \(-0.238485\pi\) |
−0.681070 | + | 0.732218i | \(0.738485\pi\) | |||||||
\(312\) | 8.97868 | − | 7.35167i | 0.508318 | − | 0.416206i | ||||
\(313\) | 2.71714 | − | 2.71714i | 0.153582 | − | 0.153582i | −0.626134 | − | 0.779716i | \(-0.715364\pi\) |
0.779716 | + | 0.626134i | \(0.215364\pi\) | |||||||
\(314\) | − | 3.23938i | − | 0.182809i | ||||||
\(315\) | 2.08522 | + | 3.13606i | 0.117489 | + | 0.176697i | ||||
\(316\) | −5.53478 | + | 5.53478i | −0.311356 | + | 0.311356i | ||||
\(317\) | − | 14.7244i | − | 0.827007i | −0.910502 | − | 0.413504i | \(-0.864305\pi\) | ||
0.910502 | − | 0.413504i | \(-0.135695\pi\) | |||||||
\(318\) | 3.27364 | + | 0.326156i | 0.183576 | + | 0.0182899i | ||||
\(319\) | 12.3910i | 0.693760i | ||||||||
\(320\) | − | 7.41094i | − | 0.414284i | ||||||
\(321\) | 2.58908 | − | 25.9866i | 0.144508 | − | 1.45043i | ||||
\(322\) | −0.317675 | + | 0.317675i | −0.0177033 | + | 0.0177033i | ||||
\(323\) | 6.19751 | − | 6.19751i | 0.344838 | − | 0.344838i | ||||
\(324\) | −5.96300 | + | 14.2141i | −0.331278 | + | 0.789673i | ||||
\(325\) | 34.0468 | 1.88858 | ||||||||
\(326\) | 1.19038 | + | 1.19038i | 0.0659291 | + | 0.0659291i | ||||
\(327\) | 5.32900 | + | 0.530935i | 0.294695 | + | 0.0293608i | ||||
\(328\) | −15.1795 | − | 15.1795i | −0.838145 | − | 0.838145i | ||||
\(329\) | 1.24285 | − | 1.24285i | 0.0685205 | − | 0.0685205i | ||||
\(330\) | −0.481086 | + | 4.82867i | −0.0264829 | + | 0.265810i | ||||
\(331\) | 13.1942 | + | 13.1942i | 0.725219 | + | 0.725219i | 0.969663 | − | 0.244444i | \(-0.0786056\pi\) |
−0.244444 | + | 0.969663i | \(0.578606\pi\) | |||||||
\(332\) | 16.4179 | 0.901051 | ||||||||
\(333\) | 7.06110 | − | 4.69506i | 0.386946 | − | 0.257287i | ||||
\(334\) | −1.25247 | + | 1.25247i | −0.0685323 | + | 0.0685323i | ||||
\(335\) | −37.2389 | + | 37.2389i | −2.03458 | + | 2.03458i | ||||
\(336\) | −1.02072 | + | 0.835761i | −0.0556851 | + | 0.0455945i | ||||
\(337\) | −0.580590 | − | 0.580590i | −0.0316268 | − | 0.0316268i | 0.691117 | − | 0.722743i | \(-0.257119\pi\) |
−0.722743 | + | 0.691117i | \(0.757119\pi\) | |||||||
\(338\) | 0.631252 | − | 0.631252i | 0.0343356 | − | 0.0343356i | ||||
\(339\) | 2.41648 | − | 24.2543i | 0.131245 | − | 1.31731i | ||||
\(340\) | 15.3181 | − | 15.3181i | 0.830741 | − | 0.830741i | ||||
\(341\) | −8.13110 | −0.440324 | ||||||||
\(342\) | 2.39844 | + | 3.60712i | 0.129693 | + | 0.195051i | ||||
\(343\) | −3.17289 | + | 3.17289i | −0.171320 | + | 0.171320i | ||||
\(344\) | 4.30895 | 0.232323 | ||||||||
\(345\) | −11.0721 | − | 13.5224i | −0.596100 | − | 0.728024i | ||||
\(346\) | − | 2.75233i | − | 0.147966i | ||||||
\(347\) | − | 3.59100i | − | 0.192775i | −0.995344 | − | 0.0963874i | \(-0.969271\pi\) | ||
0.995344 | − | 0.0963874i | \(-0.0307288\pi\) | |||||||
\(348\) | 17.3197 | + | 21.1528i | 0.928435 | + | 1.13391i | ||||
\(349\) | −9.97403 | − | 9.97403i | −0.533897 | − | 0.533897i | 0.387832 | − | 0.921730i | \(-0.373224\pi\) |
−0.921730 | + | 0.387832i | \(0.873224\pi\) | |||||||
\(350\) | 1.75041 | 0.0935631 | ||||||||
\(351\) | 5.13483 | − | 16.7232i | 0.274077 | − | 0.892618i | ||||
\(352\) | −7.05112 | −0.375826 | ||||||||
\(353\) | −21.1480 | −1.12559 | −0.562797 | − | 0.826595i | \(-0.690275\pi\) | ||||
−0.562797 | + | 0.826595i | \(0.690275\pi\) | |||||||
\(354\) | 0.941203 | − | 9.44687i | 0.0500244 | − | 0.502096i | ||||
\(355\) | −38.2540 | − | 38.2540i | −2.03031 | − | 2.03031i | ||||
\(356\) | −10.4555 | + | 10.4555i | −0.554139 | + | 0.554139i | ||||
\(357\) | −1.81081 | − | 0.180413i | −0.0958381 | − | 0.00954846i | ||||
\(358\) | −3.85198 | − | 3.85198i | −0.203583 | − | 0.203583i | ||||
\(359\) | 5.63174 | + | 5.63174i | 0.297232 | + | 0.297232i | 0.839929 | − | 0.542697i | \(-0.182597\pi\) |
−0.542697 | + | 0.839929i | \(0.682597\pi\) | |||||||
\(360\) | 12.8507 | + | 19.3267i | 0.677291 | + | 1.01861i | ||||
\(361\) | 11.7435 | 0.618077 | ||||||||
\(362\) | 10.9912i | 0.577683i | ||||||||
\(363\) | 15.8431 | + | 1.57846i | 0.831546 | + | 0.0828479i | ||||
\(364\) | 1.31660 | − | 1.31660i | 0.0690087 | − | 0.0690087i | ||||
\(365\) | 31.8889 | 1.66914 | ||||||||
\(366\) | −7.08273 | − | 1.55320i | −0.370220 | − | 0.0811871i | ||||
\(367\) | 19.6698 | 1.02676 | 0.513378 | − | 0.858163i | \(-0.328394\pi\) | ||||
0.513378 | + | 0.858163i | \(0.328394\pi\) | |||||||
\(368\) | 4.32903 | − | 4.32903i | 0.225666 | − | 0.225666i | ||||
\(369\) | −31.7254 | − | 6.38506i | −1.65156 | − | 0.332393i | ||||
\(370\) | − | 5.88978i | − | 0.306195i | ||||||
\(371\) | 1.14427 | 0.0594077 | ||||||||
\(372\) | −13.8807 | + | 11.3654i | −0.719682 | + | 0.589270i | ||||
\(373\) | 2.48660 | + | 2.48660i | 0.128751 | + | 0.128751i | 0.768546 | − | 0.639795i | \(-0.220981\pi\) |
−0.639795 | + | 0.768546i | \(0.720981\pi\) | |||||||
\(374\) | −1.65802 | − | 1.65802i | −0.0857344 | − | 0.0857344i | ||||
\(375\) | −3.41311 | + | 34.2575i | −0.176252 | + | 1.76905i | ||||
\(376\) | 7.65936 | − | 7.65936i | 0.395001 | − | 0.395001i | ||||
\(377\) | −21.9395 | − | 21.9395i | −1.12994 | − | 1.12994i | ||||
\(378\) | 0.263990 | − | 0.859769i | 0.0135782 | − | 0.0442217i | ||||
\(379\) | −38.0836 | −1.95622 | −0.978111 | − | 0.208084i | \(-0.933277\pi\) | ||||
−0.978111 | + | 0.208084i | \(0.933277\pi\) | |||||||
\(380\) | −17.9357 | −0.920080 | ||||||||
\(381\) | −0.741378 | − | 0.0738643i | −0.0379819 | − | 0.00378419i | ||||
\(382\) | −6.10589 | −0.312404 | ||||||||
\(383\) | 23.4766 | + | 23.4766i | 1.19960 | + | 1.19960i | 0.974286 | + | 0.225313i | \(0.0723405\pi\) |
0.225313 | + | 0.974286i | \(0.427660\pi\) | |||||||
\(384\) | −15.4257 | + | 12.6304i | −0.787190 | + | 0.644544i | ||||
\(385\) | 1.68782i | 0.0860194i | ||||||||
\(386\) | − | 9.89976i | − | 0.503885i | ||||||
\(387\) | 5.40915 | − | 3.59664i | 0.274963 | − | 0.182828i | ||||
\(388\) | −8.84152 | −0.448860 | ||||||||
\(389\) | −12.6680 | + | 12.6680i | −0.642293 | + | 0.642293i | −0.951119 | − | 0.308826i | \(-0.900064\pi\) |
0.308826 | + | 0.951119i | \(0.400064\pi\) | |||||||
\(390\) | −7.69787 | − | 9.40150i | −0.389797 | − | 0.476064i | ||||
\(391\) | 8.44503 | 0.427083 | ||||||||
\(392\) | −9.70350 | + | 9.70350i | −0.490101 | + | 0.490101i | ||||
\(393\) | 22.1125 | + | 2.20309i | 1.11543 | + | 0.111131i | ||||
\(394\) | −2.56851 | + | 2.56851i | −0.129400 | + | 0.129400i | ||||
\(395\) | 12.5630 | + | 12.5630i | 0.632115 | + | 0.632115i | ||||
\(396\) | −5.75260 | + | 3.82501i | −0.289079 | + | 0.192214i | ||||
\(397\) | 2.91137 | − | 2.91137i | 0.146118 | − | 0.146118i | −0.630264 | − | 0.776381i | \(-0.717053\pi\) |
0.776381 | + | 0.630264i | \(0.217053\pi\) | |||||||
\(398\) | 4.72798 | − | 4.72798i | 0.236992 | − | 0.236992i | ||||
\(399\) | 0.954499 | + | 1.16574i | 0.0477847 | + | 0.0583600i | ||||
\(400\) | −23.8532 | −1.19266 | ||||||||
\(401\) | −8.27382 | − | 8.27382i | −0.413175 | − | 0.413175i | 0.469668 | − | 0.882843i | \(-0.344374\pi\) |
−0.882843 | + | 0.469668i | \(0.844374\pi\) | |||||||
\(402\) | 12.5149 | + | 1.24688i | 0.624189 | + | 0.0621887i | ||||
\(403\) | 14.3970 | − | 14.3970i | 0.717165 | − | 0.717165i | ||||
\(404\) | −18.3051 | − | 18.3051i | −0.910714 | − | 0.910714i | ||||
\(405\) | 32.2637 | + | 13.5350i | 1.60320 | + | 0.672561i | ||||
\(406\) | −1.12795 | − | 1.12795i | −0.0559792 | − | 0.0559792i | ||||
\(407\) | 3.80028 | 0.188373 | ||||||||
\(408\) | −11.1595 | − | 1.11184i | −0.552480 | − | 0.0550442i | ||||
\(409\) | 24.9791 | − | 24.9791i | 1.23514 | − | 1.23514i | 0.273173 | − | 0.961965i | \(-0.411927\pi\) |
0.961965 | − | 0.273173i | \(-0.0880731\pi\) | |||||||
\(410\) | −15.8943 | + | 15.8943i | −0.784963 | + | 0.784963i | ||||
\(411\) | 0.796540 | + | 0.0793602i | 0.0392904 | + | 0.00391455i | ||||
\(412\) | − | 19.1457i | − | 0.943243i | ||||||
\(413\) | − | 3.30208i | − | 0.162485i | ||||||
\(414\) | −0.823503 | + | 4.09173i | −0.0404729 | + | 0.201098i | ||||
\(415\) | − | 37.2660i | − | 1.82932i | ||||||
\(416\) | 12.4848 | − | 12.4848i | 0.612116 | − | 0.612116i | ||||
\(417\) | −0.535263 | − | 0.653723i | −0.0262119 | − | 0.0320129i | ||||
\(418\) | 1.94135i | 0.0949544i | ||||||||
\(419\) | 24.1113 | − | 24.1113i | 1.17792 | − | 1.17792i | 0.197642 | − | 0.980274i | \(-0.436672\pi\) |
0.980274 | − | 0.197642i | \(-0.0633284\pi\) | |||||||
\(420\) | 2.35919 | + | 2.88131i | 0.115117 | + | 0.140593i | ||||
\(421\) | 0.977872 | + | 0.977872i | 0.0476586 | + | 0.0476586i | 0.730534 | − | 0.682876i | \(-0.239271\pi\) |
−0.682876 | + | 0.730534i | \(0.739271\pi\) | |||||||
\(422\) | 6.69670i | 0.325990i | ||||||||
\(423\) | 3.22182 | − | 16.0082i | 0.156650 | − | 0.778347i | ||||
\(424\) | 7.05186 | 0.342469 | ||||||||
\(425\) | −23.2663 | − | 23.2663i | −1.12858 | − | 1.12858i | ||||
\(426\) | −1.28087 | + | 12.8561i | −0.0620582 | + | 0.622879i | ||||
\(427\) | −2.50494 | − | 0.293339i | −0.121222 | − | 0.0141957i | ||||
\(428\) | − | 25.8234i | − | 1.24822i | ||||||
\(429\) | 6.06615 | − | 4.96691i | 0.292876 | − | 0.239805i | ||||
\(430\) | − | 4.51187i | − | 0.217581i | ||||||
\(431\) | −23.8570 | −1.14915 | −0.574577 | − | 0.818451i | \(-0.694833\pi\) | ||||
−0.574577 | + | 0.818451i | \(0.694833\pi\) | |||||||
\(432\) | −3.59746 | + | 11.7163i | −0.173083 | + | 0.563699i | ||||
\(433\) | −18.2235 | + | 18.2235i | −0.875764 | + | 0.875764i | −0.993093 | − | 0.117329i | \(-0.962567\pi\) |
0.117329 | + | 0.993093i | \(0.462567\pi\) | |||||||
\(434\) | 0.740174 | − | 0.740174i | 0.0355295 | − | 0.0355295i | ||||
\(435\) | 48.0134 | − | 39.3129i | 2.30206 | − | 1.88491i | ||||
\(436\) | 5.29553 | 0.253610 | ||||||||
\(437\) | −4.94406 | − | 4.94406i | −0.236506 | − | 0.236506i | ||||
\(438\) | −4.82460 | − | 5.89234i | −0.230528 | − | 0.281547i | ||||
\(439\) | −31.3820 | −1.49778 | −0.748891 | − | 0.662693i | \(-0.769413\pi\) | ||||
−0.748891 | + | 0.662693i | \(0.769413\pi\) | |||||||
\(440\) | 10.4016i | 0.495878i | ||||||||
\(441\) | −4.08166 | + | 20.2805i | −0.194365 | + | 0.965739i | ||||
\(442\) | 5.87142 | 0.279275 | ||||||||
\(443\) | 2.61292i | 0.124143i | 0.998072 | + | 0.0620717i | \(0.0197707\pi\) | ||||
−0.998072 | + | 0.0620717i | \(0.980229\pi\) | |||||||
\(444\) | 6.48751 | − | 5.31192i | 0.307884 | − | 0.252093i | ||||
\(445\) | 23.7322 | + | 23.7322i | 1.12501 | + | 1.12501i | ||||
\(446\) | 10.4885 | 0.496644 | ||||||||
\(447\) | 2.13674 | − | 21.4465i | 0.101064 | − | 1.01438i | ||||
\(448\) | −0.435285 | + | 0.435285i | −0.0205653 | + | 0.0205653i | ||||
\(449\) | 22.8855i | 1.08003i | 0.841654 | + | 0.540017i | \(0.181582\pi\) | ||||
−0.841654 | + | 0.540017i | \(0.818418\pi\) | |||||||
\(450\) | 13.5416 | − | 9.00407i | 0.638358 | − | 0.424456i | ||||
\(451\) | −10.2555 | − | 10.2555i | −0.482913 | − | 0.482913i | ||||
\(452\) | − | 24.1019i | − | 1.13366i | ||||||
\(453\) | 8.85304 | + | 10.8123i | 0.415952 | + | 0.508007i | ||||
\(454\) | 6.81819i | 0.319993i | ||||||||
\(455\) | −2.98847 | − | 2.98847i | −0.140102 | − | 0.140102i | ||||
\(456\) | 5.88233 | + | 7.18416i | 0.275465 | + | 0.336429i | ||||
\(457\) | 20.1414 | + | 20.1414i | 0.942177 | + | 0.942177i | 0.998417 | − | 0.0562400i | \(-0.0179112\pi\) |
−0.0562400 | + | 0.998417i | \(0.517911\pi\) | |||||||
\(458\) | −7.19019 | − | 7.19019i | −0.335975 | − | 0.335975i | ||||
\(459\) | −14.9369 | + | 7.91905i | −0.697197 | + | 0.369630i | ||||
\(460\) | −12.2200 | − | 12.2200i | −0.569761 | − | 0.569761i | ||||
\(461\) | 11.2000i | 0.521635i | 0.965388 | + | 0.260818i | \(0.0839921\pi\) | ||||
−0.965388 | + | 0.260818i | \(0.916008\pi\) | |||||||
\(462\) | 0.311871 | − | 0.255358i | 0.0145096 | − | 0.0118803i | ||||
\(463\) | − | 6.02852i | − | 0.280169i | −0.990140 | − | 0.140085i | \(-0.955263\pi\) | ||
0.990140 | − | 0.140085i | \(-0.0447375\pi\) | |||||||
\(464\) | 15.3708 | + | 15.3708i | 0.713573 | + | 0.713573i | ||||
\(465\) | 25.7976 | + | 31.5070i | 1.19634 | + | 1.46110i | ||||
\(466\) | 0.125950i | 0.00583454i | ||||||||
\(467\) | 21.1380 | − | 21.1380i | 0.978148 | − | 0.978148i | −0.0216185 | − | 0.999766i | \(-0.506882\pi\) |
0.999766 | + | 0.0216185i | \(0.00688192\pi\) | |||||||
\(468\) | 3.41301 | − | 16.9582i | 0.157766 | − | 0.783892i | ||||
\(469\) | 4.37450 | 0.201995 | ||||||||
\(470\) | −8.02005 | − | 8.02005i | −0.369938 | − | 0.369938i | ||||
\(471\) | −6.63145 | − | 8.09907i | −0.305561 | − | 0.373186i | ||||
\(472\) | − | 20.3498i | − | 0.936678i | ||||||
\(473\) | 2.91120 | 0.133857 | ||||||||
\(474\) | 0.420651 | − | 4.22208i | 0.0193211 | − | 0.193926i | ||||
\(475\) | 27.2420i | 1.24995i | ||||||||
\(476\) | −1.79943 | −0.0824769 | ||||||||
\(477\) | 8.85241 | − | 5.88613i | 0.405324 | − | 0.269507i | ||||
\(478\) | 0.679259 | + | 0.679259i | 0.0310686 | + | 0.0310686i | ||||
\(479\) | 15.8644 | 0.724865 | 0.362432 | − | 0.932010i | \(-0.381946\pi\) | ||||
0.362432 | + | 0.932010i | \(0.381946\pi\) | |||||||
\(480\) | 22.3712 | + | 27.3222i | 1.02110 | + | 1.24708i | ||||
\(481\) | −6.72880 | + | 6.72880i | −0.306807 | + | 0.306807i | ||||
\(482\) | 4.90795 | − | 4.90795i | 0.223551 | − | 0.223551i | ||||
\(483\) | −0.143924 | + | 1.44457i | −0.00654878 | + | 0.0657303i | ||||
\(484\) | 15.7436 | 0.715616 | ||||||||
\(485\) | 20.0688i | 0.911278i | ||||||||
\(486\) | −2.38034 | − | 8.00937i | −0.107974 | − | 0.363312i | ||||
\(487\) | − | 20.4618i | − | 0.927214i | −0.886041 | − | 0.463607i | \(-0.846555\pi\) | ||
0.886041 | − | 0.463607i | \(-0.153445\pi\) | |||||||
\(488\) | −15.4373 | − | 1.80777i | −0.698813 | − | 0.0818339i | ||||
\(489\) | 5.41306 | + | 0.539309i | 0.244787 | + | 0.0243884i | ||||
\(490\) | 10.1605 | + | 10.1605i | 0.459002 | + | 0.459002i | ||||
\(491\) | 22.7740 | 1.02778 | 0.513889 | − | 0.857857i | \(-0.328204\pi\) | ||||
0.513889 | + | 0.857857i | \(0.328204\pi\) | |||||||
\(492\) | −31.8422 | − | 3.17247i | −1.43556 | − | 0.143026i | ||||
\(493\) | 29.9853i | 1.35047i | ||||||||
\(494\) | −3.43736 | − | 3.43736i | −0.154654 | − | 0.154654i | ||||
\(495\) | 8.68215 | + | 13.0575i | 0.390233 | + | 0.586889i | ||||
\(496\) | −10.0865 | + | 10.0865i | −0.452899 | + | 0.452899i | ||||
\(497\) | 4.49374i | 0.201572i | ||||||||
\(498\) | −6.88592 | + | 5.63813i | −0.308565 | + | 0.252651i | ||||
\(499\) | 8.99824 | − | 8.99824i | 0.402817 | − | 0.402817i | −0.476408 | − | 0.879224i | \(-0.658061\pi\) |
0.879224 | + | 0.476408i | \(0.158061\pi\) | |||||||
\(500\) | 34.0423i | 1.52242i | ||||||||
\(501\) | −0.567440 | + | 5.69541i | −0.0253513 | + | 0.254452i | ||||
\(502\) | − | 6.76520i | − | 0.301945i | ||||||
\(503\) | − | 21.8416i | − | 0.973871i | −0.873438 | − | 0.486935i | \(-0.838115\pi\) | ||
0.873438 | − | 0.486935i | \(-0.161885\pi\) | |||||||
\(504\) | 0.380373 | − | 1.88996i | 0.0169431 | − | 0.0841853i | ||||
\(505\) | −41.5496 | + | 41.5496i | −1.84893 | + | 1.84893i | ||||
\(506\) | −1.32269 | + | 1.32269i | −0.0588006 | + | 0.0588006i | ||||
\(507\) | 0.285992 | − | 2.87051i | 0.0127014 | − | 0.127484i | ||||
\(508\) | −0.736721 | −0.0326867 | ||||||||
\(509\) | 13.7283 | + | 13.7283i | 0.608496 | + | 0.608496i | 0.942553 | − | 0.334057i | \(-0.108418\pi\) |
−0.334057 | + | 0.942553i | \(0.608418\pi\) | |||||||
\(510\) | −1.16420 | + | 11.6851i | −0.0515515 | + | 0.517423i | ||||
\(511\) | −1.87301 | − | 1.87301i | −0.0828570 | − | 0.0828570i | ||||
\(512\) | −15.3850 | + | 15.3850i | −0.679928 | + | 0.679928i | ||||
\(513\) | 13.3808 | + | 4.10855i | 0.590778 | + | 0.181397i | ||||
\(514\) | −7.16993 | − | 7.16993i | −0.316252 | − | 0.316252i | ||||
\(515\) | −43.4577 | −1.91498 | ||||||||
\(516\) | 4.96975 | − | 4.06919i | 0.218781 | − | 0.179136i | ||||
\(517\) | 5.17480 | − | 5.17480i | 0.227587 | − | 0.227587i | ||||
\(518\) | −0.345939 | + | 0.345939i | −0.0151997 | + | 0.0151997i | ||||
\(519\) | −5.63439 | − | 6.88135i | −0.247322 | − | 0.302058i | ||||
\(520\) | −18.4172 | − | 18.4172i | −0.807647 | − | 0.807647i | ||||
\(521\) | −27.2772 | + | 27.2772i | −1.19503 | + | 1.19503i | −0.219398 | + | 0.975635i | \(0.570409\pi\) |
−0.975635 | + | 0.219398i | \(0.929591\pi\) | |||||||
\(522\) | −14.5283 | − | 2.92396i | −0.635886 | − | 0.127978i | ||||
\(523\) | −5.14902 | + | 5.14902i | −0.225151 | + | 0.225151i | −0.810663 | − | 0.585512i | \(-0.800893\pi\) |
0.585512 | + | 0.810663i | \(0.300893\pi\) | |||||||
\(524\) | 21.9736 | 0.959921 | ||||||||
\(525\) | 4.37635 | − | 3.58332i | 0.191000 | − | 0.156389i | ||||
\(526\) | −9.66264 | + | 9.66264i | −0.421311 | + | 0.421311i | ||||
\(527\) | −19.6767 | −0.857131 | ||||||||
\(528\) | −4.24995 | + | 3.47982i | −0.184955 | + | 0.151440i | ||||
\(529\) | 16.2630i | 0.707086i | ||||||||
\(530\) | − | 7.38395i | − | 0.320738i | ||||||
\(531\) | −16.9859 | − | 25.5458i | −0.737123 | − | 1.10859i | ||||
\(532\) | 1.05346 | + | 1.05346i | 0.0456733 | + | 0.0456733i | ||||
\(533\) | 36.3169 | 1.57306 | ||||||||
\(534\) | 0.794630 | − | 7.97572i | 0.0343870 | − | 0.345143i | ||||
\(535\) | −58.6149 | −2.53414 | ||||||||
\(536\) | 26.9589 | 1.16445 | ||||||||
\(537\) | −17.5162 | − | 1.74516i | −0.755880 | − | 0.0753092i | ||||
\(538\) | −4.37746 | − | 4.37746i | −0.188726 | − | 0.188726i | ||||
\(539\) | −6.55585 | + | 6.55585i | −0.282380 | + | 0.282380i | ||||
\(540\) | 33.0728 | + | 10.1549i | 1.42323 | + | 0.436999i | ||||
\(541\) | 12.5752 | + | 12.5752i | 0.540652 | + | 0.540652i | 0.923720 | − | 0.383068i | \(-0.125133\pi\) |
−0.383068 | + | 0.923720i | \(0.625133\pi\) | |||||||
\(542\) | 9.18603 | + | 9.18603i | 0.394574 | + | 0.394574i | ||||
\(543\) | 22.5004 | + | 27.4801i | 0.965586 | + | 1.17928i | ||||
\(544\) | −17.0632 | −0.731580 | ||||||||
\(545\) | − | 12.0200i | − | 0.514880i | ||||||
\(546\) | −0.100064 | + | 1.00434i | −0.00428233 | + | 0.0429818i | ||||
\(547\) | −23.8927 | + | 23.8927i | −1.02158 | + | 1.02158i | −0.0218175 | + | 0.999762i | \(0.506945\pi\) |
−0.999762 | + | 0.0218175i | \(0.993055\pi\) | |||||||
\(548\) | 0.791536 | 0.0338128 | ||||||||
\(549\) | −20.8878 | + | 10.6160i | −0.891470 | + | 0.453081i | ||||
\(550\) | 7.28808 | 0.310765 | ||||||||
\(551\) | 17.5546 | − | 17.5546i | 0.747850 | − | 0.747850i | ||||
\(552\) | −0.886968 | + | 8.90252i | −0.0377519 | + | 0.378916i | ||||
\(553\) | − | 1.47579i | − | 0.0627571i | ||||||
\(554\) | −9.53843 | −0.405249 | ||||||||
\(555\) | −12.0572 | − | 14.7256i | −0.511799 | − | 0.625067i | ||||
\(556\) | −0.590758 | − | 0.590758i | −0.0250537 | − | 0.0250537i | ||||
\(557\) | 26.1935 | + | 26.1935i | 1.10986 | + | 1.10986i | 0.993169 | + | 0.116687i | \(0.0372276\pi\) |
0.116687 | + | 0.993169i | \(0.462772\pi\) | |||||||
\(558\) | 1.91874 | − | 9.53364i | 0.0812268 | − | 0.403591i | ||||
\(559\) | −5.15459 | + | 5.15459i | −0.218016 | + | 0.218016i | ||||
\(560\) | 2.09372 | + | 2.09372i | 0.0884760 | + | 0.0884760i | ||||
\(561\) | −7.53958 | − | 0.751177i | −0.318321 | − | 0.0317147i | ||||
\(562\) | −1.37834 | −0.0581419 | ||||||||
\(563\) | 12.0910 | 0.509577 | 0.254788 | − | 0.966997i | \(-0.417994\pi\) | ||||
0.254788 | + | 0.966997i | \(0.417994\pi\) | |||||||
\(564\) | 1.60079 | − | 16.0672i | 0.0674054 | − | 0.676549i | ||||
\(565\) | −54.7074 | −2.30156 | ||||||||
\(566\) | −3.92419 | − | 3.92419i | −0.164946 | − | 0.164946i | ||||
\(567\) | −1.10004 | − | 2.69001i | −0.0461972 | − | 0.112970i | ||||
\(568\) | 27.6937i | 1.16200i | ||||||||
\(569\) | − | 9.51598i | − | 0.398931i | −0.979905 | − | 0.199465i | \(-0.936079\pi\) | ||
0.979905 | − | 0.199465i | \(-0.0639205\pi\) | |||||||
\(570\) | 7.52247 | − | 6.15934i | 0.315082 | − | 0.257986i | ||||
\(571\) | −2.45458 | −0.102721 | −0.0513605 | − | 0.998680i | \(-0.516356\pi\) | ||||
−0.0513605 | + | 0.998680i | \(0.516356\pi\) | |||||||
\(572\) | 5.48188 | − | 5.48188i | 0.229209 | − | 0.229209i | ||||
\(573\) | −15.2659 | + | 12.4996i | −0.637742 | + | 0.522177i | ||||
\(574\) | 1.86712 | 0.0779320 | ||||||||
\(575\) | −18.5607 | + | 18.5607i | −0.774034 | + | 0.774034i | ||||
\(576\) | −1.12838 | + | 5.60659i | −0.0470159 | + | 0.233608i | ||||
\(577\) | 12.8136 | − | 12.8136i | 0.533437 | − | 0.533437i | −0.388157 | − | 0.921593i | \(-0.626888\pi\) |
0.921593 | + | 0.388157i | \(0.126888\pi\) | |||||||
\(578\) | 2.43100 | + | 2.43100i | 0.101116 | + | 0.101116i | ||||
\(579\) | −20.2662 | − | 24.7513i | −0.842233 | − | 1.02863i | ||||
\(580\) | 43.3889 | − | 43.3889i | 1.80163 | − | 1.80163i | ||||
\(581\) | −2.18884 | + | 2.18884i | −0.0908083 | + | 0.0908083i | ||||
\(582\) | 3.70826 | − | 3.03629i | 0.153712 | − | 0.125858i | ||||
\(583\) | 4.76436 | 0.197320 | ||||||||
\(584\) | −11.5429 | − | 11.5429i | −0.477647 | − | 0.477647i | ||||
\(585\) | −38.4923 | − | 7.74697i | −1.59146 | − | 0.320298i | ||||
\(586\) | 4.77703 | − | 4.77703i | 0.197337 | − | 0.197337i | ||||
\(587\) | 4.00230 | + | 4.00230i | 0.165193 | + | 0.165193i | 0.784863 | − | 0.619670i | \(-0.212734\pi\) |
−0.619670 | + | 0.784863i | \(0.712734\pi\) | |||||||
\(588\) | −2.02801 | + | 20.3552i | −0.0836337 | + | 0.839433i | ||||
\(589\) | 11.5195 | + | 11.5195i | 0.474654 | + | 0.474654i | ||||
\(590\) | −21.3082 | −0.877243 | ||||||||
\(591\) | −1.16368 | + | 11.6799i | −0.0478673 | + | 0.480446i | ||||
\(592\) | 4.71420 | − | 4.71420i | 0.193752 | − | 0.193752i | ||||
\(593\) | 1.69866 | − | 1.69866i | 0.0697557 | − | 0.0697557i | −0.671368 | − | 0.741124i | \(-0.734293\pi\) |
0.741124 | + | 0.671368i | \(0.234293\pi\) | |||||||
\(594\) | 1.09916 | − | 3.57978i | 0.0450993 | − | 0.146880i | ||||
\(595\) | 4.08442i | 0.167445i | ||||||||
\(596\) | − | 21.3118i | − | 0.872965i | ||||||
\(597\) | 2.14204 | − | 21.4997i | 0.0876679 | − | 0.879924i | ||||
\(598\) | − | 4.68392i | − | 0.191540i | ||||||
\(599\) | 24.0705 | − | 24.0705i | 0.983496 | − | 0.983496i | −0.0163702 | − | 0.999866i | \(-0.505211\pi\) |
0.999866 | + | 0.0163702i | \(0.00521101\pi\) | |||||||
\(600\) | 26.9703 | − | 22.0831i | 1.10106 | − | 0.901538i | ||||
\(601\) | 20.9490i | 0.854526i | 0.904127 | + | 0.427263i | \(0.140522\pi\) | ||||
−0.904127 | + | 0.427263i | \(0.859478\pi\) | |||||||
\(602\) | −0.265007 | + | 0.265007i | −0.0108009 | + | 0.0108009i | ||||
\(603\) | 33.8423 | − | 22.5024i | 1.37816 | − | 0.916367i | ||||
\(604\) | 9.77092 | + | 9.77092i | 0.397573 | + | 0.397573i | ||||
\(605\) | − | 35.7353i | − | 1.45285i | ||||||
\(606\) | 13.9636 | + | 1.39121i | 0.567234 | + | 0.0565142i | ||||
\(607\) | −3.77538 | −0.153238 | −0.0766189 | − | 0.997060i | \(-0.524412\pi\) | ||||
−0.0766189 | + | 0.997060i | \(0.524412\pi\) | |||||||
\(608\) | 9.98951 | + | 9.98951i | 0.405128 | + | 0.405128i | ||||
\(609\) | −5.12915 | − | 0.511024i | −0.207844 | − | 0.0207077i | ||||
\(610\) | −1.89290 | + | 16.1642i | −0.0766414 | + | 0.654471i | ||||
\(611\) | 18.3251i | 0.741353i | ||||||||
\(612\) | −13.9209 | + | 9.25626i | −0.562719 | + | 0.374162i | ||||
\(613\) | 4.36007i | 0.176101i | 0.996116 | + | 0.0880507i | \(0.0280638\pi\) | ||||
−0.996116 | + | 0.0880507i | \(0.971936\pi\) | |||||||
\(614\) | −12.0415 | −0.485955 | ||||||||
\(615\) | −7.20100 | + | 72.2766i | −0.290372 | + | 2.91447i | ||||
\(616\) | 0.610944 | − | 0.610944i | 0.0246156 | − | 0.0246156i | ||||
\(617\) | −3.36494 | + | 3.36494i | −0.135467 | + | 0.135467i | −0.771589 | − | 0.636122i | \(-0.780538\pi\) |
0.636122 | + | 0.771589i | \(0.280538\pi\) | |||||||
\(618\) | 6.57490 | + | 8.03000i | 0.264481 | + | 0.323014i | ||||
\(619\) | −12.3604 | −0.496807 | −0.248403 | − | 0.968657i | \(-0.579906\pi\) | ||||
−0.248403 | + | 0.968657i | \(0.579906\pi\) | |||||||
\(620\) | 28.4723 | + | 28.4723i | 1.14348 | + | 1.14348i | ||||
\(621\) | 6.31742 | + | 11.9159i | 0.253509 | + | 0.478170i | ||||
\(622\) | −0.683752 | −0.0274160 | ||||||||
\(623\) | − | 2.78785i | − | 0.111693i | ||||||
\(624\) | 1.36359 | − | 13.6864i | 0.0545873 | − | 0.547894i | ||||
\(625\) | 26.7060 | 1.06824 | ||||||||
\(626\) | 2.05968i | 0.0823215i | ||||||||
\(627\) | 3.97420 | + | 4.85374i | 0.158714 | + | 0.193840i | ||||
\(628\) | −7.31900 | − | 7.31900i | −0.292060 | − | 0.292060i | ||||
\(629\) | 9.19641 | 0.366685 | ||||||||
\(630\) | −1.97896 | − | 0.398285i | −0.0788436 | − | 0.0158681i | ||||
\(631\) | 12.8741 | − | 12.8741i | 0.512511 | − | 0.512511i | −0.402784 | − | 0.915295i | \(-0.631958\pi\) |
0.915295 | + | 0.402784i | \(0.131958\pi\) | |||||||
\(632\) | − | 9.09493i | − | 0.361777i | ||||||
\(633\) | 13.7091 | + | 16.7430i | 0.544886 | + | 0.665476i | ||||
\(634\) | 5.58083 | + | 5.58083i | 0.221643 | + | 0.221643i | ||||
\(635\) | 1.67224i | 0.0663607i | ||||||||
\(636\) | 8.13331 | − | 6.65949i | 0.322507 | − | 0.264066i | ||||
\(637\) | − | 23.2157i | − | 0.919838i | ||||||
\(638\) | −4.69639 | − | 4.69639i | −0.185932 | − | 0.185932i | ||||
\(639\) | 23.1157 | + | 34.7648i | 0.914445 | + | 1.37527i | ||||
\(640\) | 31.6414 | + | 31.6414i | 1.25074 | + | 1.25074i | ||||
\(641\) | 13.9186 | + | 13.9186i | 0.549753 | + | 0.549753i | 0.926369 | − | 0.376616i | \(-0.122912\pi\) |
−0.376616 | + | 0.926369i | \(0.622912\pi\) | |||||||
\(642\) | 8.86809 | + | 10.8307i | 0.349996 | + | 0.427454i | ||||
\(643\) | −15.1468 | − | 15.1468i | −0.597331 | − | 0.597331i | 0.342270 | − | 0.939602i | \(-0.388804\pi\) |
−0.939602 | + | 0.342270i | \(0.888804\pi\) | |||||||
\(644\) | 1.43550i | 0.0565665i | ||||||||
\(645\) | −9.23640 | − | 11.2805i | −0.363683 | − | 0.444170i | ||||
\(646\) | 4.69793i | 0.184838i | ||||||||
\(647\) | −28.5633 | − | 28.5633i | −1.12294 | − | 1.12294i | −0.991297 | − | 0.131642i | \(-0.957975\pi\) |
−0.131642 | − | 0.991297i | \(-0.542025\pi\) | |||||||
\(648\) | −6.77925 | − | 16.5778i | −0.266314 | − | 0.651239i | ||||
\(649\) | − | 13.7487i | − | 0.539684i | ||||||
\(650\) | −12.9043 | + | 12.9043i | −0.506150 | + | 0.506150i | ||||
\(651\) | 0.335340 | − | 3.36582i | 0.0131430 | − | 0.131917i | ||||
\(652\) | 5.37905 | 0.210660 | ||||||||
\(653\) | 5.18939 | + | 5.18939i | 0.203076 | + | 0.203076i | 0.801317 | − | 0.598240i | \(-0.204133\pi\) |
−0.598240 | + | 0.801317i | \(0.704133\pi\) | |||||||
\(654\) | −2.22102 | + | 1.81855i | −0.0868488 | + | 0.0711110i | ||||
\(655\) | − | 49.8765i | − | 1.94884i | ||||||
\(656\) | −25.4437 | −0.993408 | ||||||||
\(657\) | −24.1248 | − | 4.85537i | −0.941199 | − | 0.189426i | ||||
\(658\) | 0.942124i | 0.0367278i | ||||||||
\(659\) | −31.2346 | −1.21673 | −0.608363 | − | 0.793659i | \(-0.708174\pi\) | ||||
−0.608363 | + | 0.793659i | \(0.708174\pi\) | |||||||
\(660\) | 9.82286 | + | 11.9968i | 0.382354 | + | 0.466974i | ||||
\(661\) | 30.6030 | + | 30.6030i | 1.19032 | + | 1.19032i | 0.976978 | + | 0.213340i | \(0.0684342\pi\) |
0.213340 | + | 0.976978i | \(0.431566\pi\) | |||||||
\(662\) | −10.0017 | −0.388726 | ||||||||
\(663\) | 14.6797 | − | 12.0196i | 0.570111 | − | 0.466802i | ||||
\(664\) | −13.4892 | + | 13.4892i | −0.523484 | + | 0.523484i | ||||
\(665\) | 2.39118 | − | 2.39118i | 0.0927261 | − | 0.0927261i | ||||
\(666\) | −0.896773 | + | 4.45579i | −0.0347492 | + | 0.172658i | ||||
\(667\) | 23.9207 | 0.926214 | ||||||||
\(668\) | 5.65963i | 0.218978i | ||||||||
\(669\) | 26.2232 | − | 21.4714i | 1.01385 | − | 0.830131i | ||||
\(670\) | − | 28.2284i | − | 1.09056i | ||||||
\(671\) | −10.4297 | − | 1.22136i | −0.402634 | − | 0.0471501i | ||||
\(672\) | 0.290800 | − | 2.91877i | 0.0112179 | − | 0.112594i | ||||
\(673\) | −33.7239 | − | 33.7239i | −1.29996 | − | 1.29996i | −0.928415 | − | 0.371546i | \(-0.878828\pi\) |
−0.371546 | − | 0.928415i | \(-0.621172\pi\) | |||||||
\(674\) | 0.440108 | 0.0169523 | ||||||||
\(675\) | 15.4241 | − | 50.2334i | 0.593673 | − | 1.93349i | ||||
\(676\) | − | 2.85248i | − | 0.109711i | ||||||
\(677\) | 15.7045 | + | 15.7045i | 0.603572 | + | 0.603572i | 0.941259 | − | 0.337687i | \(-0.109644\pi\) |
−0.337687 | + | 0.941259i | \(0.609644\pi\) | |||||||
\(678\) | 8.27690 | + | 10.1087i | 0.317873 | + | 0.388221i | ||||
\(679\) | 1.17875 | − | 1.17875i | 0.0452363 | − | 0.0452363i | ||||
\(680\) | 25.1712i | 0.965272i | ||||||||
\(681\) | 13.9578 | + | 17.0468i | 0.534863 | + | 0.653234i | ||||
\(682\) | 3.08183 | − | 3.08183i | 0.118009 | − | 0.118009i | ||||
\(683\) | − | 9.98741i | − | 0.382158i | −0.981575 | − | 0.191079i | \(-0.938801\pi\) | ||
0.981575 | − | 0.191079i | \(-0.0611986\pi\) | |||||||
\(684\) | 13.5688 | + | 2.73087i | 0.518818 | + | 0.104417i | ||||
\(685\) | − | 1.79666i | − | 0.0686468i | ||||||
\(686\) | − | 2.40517i | − | 0.0918297i | ||||||
\(687\) | −32.6961 | − | 3.25756i | −1.24744 | − | 0.124283i | ||||
\(688\) | 3.61131 | − | 3.61131i | 0.137680 | − | 0.137680i | ||||
\(689\) | −8.43581 | + | 8.43581i | −0.321379 | + | 0.321379i | ||||
\(690\) | 9.32175 | + | 0.928737i | 0.354873 | + | 0.0353564i | ||||
\(691\) | 26.8789 | 1.02252 | 0.511261 | − | 0.859426i | \(-0.329179\pi\) | ||||
0.511261 | + | 0.859426i | \(0.329179\pi\) | |||||||
\(692\) | −6.21856 | − | 6.21856i | −0.236394 | − | 0.236394i | ||||
\(693\) | 0.256986 | − | 1.27689i | 0.00976210 | − | 0.0485049i | ||||
\(694\) | 1.36105 | + | 1.36105i | 0.0516648 | + | 0.0516648i | ||||
\(695\) | −1.34092 | + | 1.34092i | −0.0508642 | + | 0.0508642i | ||||
\(696\) | −31.6097 | − | 3.14931i | −1.19816 | − | 0.119374i | ||||
\(697\) | −24.8176 | − | 24.8176i | −0.940035 | − | 0.940035i | ||||
\(698\) | 7.56067 | 0.286175 | ||||||||
\(699\) | 0.257837 | + | 0.314900i | 0.00975231 | + | 0.0119106i | ||||
\(700\) | 3.95483 | − | 3.95483i | 0.149479 | − | 0.149479i | ||||
\(701\) | 18.0264 | − | 18.0264i | 0.680848 | − | 0.680848i | −0.279344 | − | 0.960191i | \(-0.590117\pi\) |
0.960191 | + | 0.279344i | \(0.0901168\pi\) | |||||||
\(702\) | 4.39220 | + | 8.28458i | 0.165773 | + | 0.312681i | ||||
\(703\) | −5.38395 | − | 5.38395i | −0.203060 | − | 0.203060i | ||||
\(704\) | −1.81238 | + | 1.81238i | −0.0683065 | + | 0.0683065i | ||||
\(705\) | −36.4698 | − | 3.63353i | −1.37353 | − | 0.136847i | ||||
\(706\) | 8.01546 | − | 8.01546i | 0.301666 | − | 0.301666i | ||||
\(707\) | 4.88088 | 0.183564 | ||||||||
\(708\) | −19.2176 | − | 23.4706i | −0.722240 | − | 0.882080i | ||||
\(709\) | 8.18965 | − | 8.18965i | 0.307569 | − | 0.307569i | −0.536397 | − | 0.843966i | \(-0.680215\pi\) |
0.843966 | + | 0.536397i | \(0.180215\pi\) | |||||||
\(710\) | 28.9979 | 1.08827 | ||||||||
\(711\) | −7.59146 | − | 11.4171i | −0.284702 | − | 0.428176i | ||||
\(712\) | − | 17.1808i | − | 0.643877i | ||||||
\(713\) | 15.6971i | 0.587860i | ||||||||
\(714\) | 0.754708 | − | 0.617948i | 0.0282442 | − | 0.0231261i | ||||
\(715\) | −12.4430 | − | 12.4430i | −0.465341 | − | 0.465341i | ||||
\(716\) | −17.4062 | −0.650499 | ||||||||
\(717\) | 3.08882 | + | 0.307742i | 0.115354 | + | 0.0114928i | ||||
\(718\) | −4.26906 | −0.159320 | ||||||||
\(719\) | −1.19907 | −0.0447178 | −0.0223589 | − | 0.999750i | \(-0.507118\pi\) | ||||
−0.0223589 | + | 0.999750i | \(0.507118\pi\) | |||||||
\(720\) | 26.9677 | + | 5.42753i | 1.00503 | + | 0.202272i | ||||
\(721\) | 2.55251 | + | 2.55251i | 0.0950605 | + | 0.0950605i | ||||
\(722\) | −4.45098 | + | 4.45098i | −0.165648 | + | 0.165648i | ||||
\(723\) | 2.22358 | − | 22.3181i | 0.0826957 | − | 0.830018i | ||||
\(724\) | 24.8333 | + | 24.8333i | 0.922921 | + | 0.922921i | ||||
\(725\) | −65.9023 | − | 65.9023i | −2.44755 | − | 2.44755i | ||||
\(726\) | −6.60307 | + | 5.40654i | −0.245063 | + | 0.200656i | ||||
\(727\) | 14.8888 | 0.552196 | 0.276098 | − | 0.961129i | \(-0.410959\pi\) | ||||
0.276098 | + | 0.961129i | \(0.410959\pi\) | |||||||
\(728\) | 2.16349i | 0.0801841i | ||||||||
\(729\) | −22.3476 | − | 15.1521i | −0.827688 | − | 0.561188i | ||||
\(730\) | −12.0864 | + | 12.0864i | −0.447339 | + | 0.447339i | ||||
\(731\) | 7.04491 | 0.260565 | ||||||||
\(732\) | −19.5119 | + | 12.4933i | −0.721179 | + | 0.461766i | ||||
\(733\) | 23.0730 | 0.852222 | 0.426111 | − | 0.904671i | \(-0.359883\pi\) | ||||
0.426111 | + | 0.904671i | \(0.359883\pi\) | |||||||
\(734\) | −7.45520 | + | 7.45520i | −0.275177 | + | 0.275177i | ||||
\(735\) | 46.2029 | + | 4.60325i | 1.70422 | + | 0.169793i | ||||
\(736\) | 13.6122i | 0.501752i | ||||||||
\(737\) | 18.2139 | 0.670917 | ||||||||
\(738\) | 14.4445 | − | 9.60444i | 0.531711 | − | 0.353544i | ||||
\(739\) | −18.9078 | − | 18.9078i | −0.695534 | − | 0.695534i | 0.267910 | − | 0.963444i | \(-0.413667\pi\) |
−0.963444 | + | 0.267910i | \(0.913667\pi\) | |||||||
\(740\) | −13.3073 | − | 13.3073i | −0.489185 | − | 0.489185i | ||||
\(741\) | −15.6308 | − | 1.55732i | −0.574213 | − | 0.0572095i | ||||
\(742\) | −0.433700 | + | 0.433700i | −0.0159216 | + | 0.0159216i | ||||
\(743\) | 4.86743 | + | 4.86743i | 0.178569 | + | 0.178569i | 0.790732 | − | 0.612163i | \(-0.209700\pi\) |
−0.612163 | + | 0.790732i | \(0.709700\pi\) | |||||||
\(744\) | 2.06661 | − | 20.7427i | 0.0757658 | − | 0.760463i | ||||
\(745\) | −48.3743 | −1.77230 | ||||||||
\(746\) | −1.88493 | −0.0690122 | ||||||||
\(747\) | −5.67409 | + | 28.1928i | −0.207604 | + | 1.03152i | ||||
\(748\) | −7.49222 | −0.273943 | ||||||||
\(749\) | 3.44278 | + | 3.44278i | 0.125796 | + | 0.125796i | ||||
\(750\) | −11.6906 | − | 14.2778i | −0.426879 | − | 0.521352i | ||||
\(751\) | 18.4292i | 0.672493i | 0.941774 | + | 0.336246i | \(0.109157\pi\) | ||||
−0.941774 | + | 0.336246i | \(0.890843\pi\) | |||||||
\(752\) | − | 12.8385i | − | 0.468173i | ||||||
\(753\) | −13.8493 | − | 16.9143i | −0.504696 | − | 0.616391i | ||||
\(754\) | 16.6309 | 0.605663 | ||||||||
\(755\) | 22.1784 | − | 22.1784i | 0.807154 | − | 0.807154i | ||||
\(756\) | −1.34609 | − | 2.53900i | −0.0489569 | − | 0.0923426i | ||||
\(757\) | −14.4546 | −0.525360 | −0.262680 | − | 0.964883i | \(-0.584606\pi\) | ||||
−0.262680 | + | 0.964883i | \(0.584606\pi\) | |||||||
\(758\) | 14.4343 | − | 14.4343i | 0.524279 | − | 0.524279i | ||||
\(759\) | −0.599251 | + | 6.01469i | −0.0217514 | + | 0.218320i | ||||
\(760\) | 14.7362 | − | 14.7362i | 0.534540 | − | 0.534540i | ||||
\(761\) | −8.43043 | − | 8.43043i | −0.305603 | − | 0.305603i | 0.537598 | − | 0.843201i | \(-0.319332\pi\) |
−0.843201 | + | 0.537598i | \(0.819332\pi\) | |||||||
\(762\) | 0.308991 | − | 0.252999i | 0.0111936 | − | 0.00916520i | ||||
\(763\) | −0.706000 | + | 0.706000i | −0.0255589 | + | 0.0255589i | ||||
\(764\) | −13.7955 | + | 13.7955i | −0.499105 | + | 0.499105i | ||||
\(765\) | 21.0102 | + | 31.5982i | 0.759626 | + | 1.14243i | ||||
\(766\) | −17.7961 | −0.643000 | ||||||||
\(767\) | 24.3436 | + | 24.3436i | 0.878995 | + | 0.878995i | ||||
\(768\) | 0.404758 | − | 4.06257i | 0.0146055 | − | 0.146595i | ||||
\(769\) | 0.360722 | − | 0.360722i | 0.0130080 | − | 0.0130080i | −0.700573 | − | 0.713581i | \(-0.747072\pi\) |
0.713581 | + | 0.700573i | \(0.247072\pi\) | |||||||
\(770\) | −0.639715 | − | 0.639715i | −0.0230537 | − | 0.0230537i | ||||
\(771\) | −32.6040 | − | 3.24838i | −1.17420 | − | 0.116987i | ||||
\(772\) | −22.3673 | − | 22.3673i | −0.805018 | − | 0.805018i | ||||
\(773\) | −4.42826 | −0.159273 | −0.0796367 | − | 0.996824i | \(-0.525376\pi\) | ||||
−0.0796367 | + | 0.996824i | \(0.525376\pi\) | |||||||
\(774\) | −0.686972 | + | 3.41336i | −0.0246927 | + | 0.122691i | ||||
\(775\) | 43.2459 | − | 43.2459i | 1.55344 | − | 1.55344i | ||||
\(776\) | 7.26434 | − | 7.26434i | 0.260775 | − | 0.260775i | ||||
\(777\) | −0.156730 | + | 1.57310i | −0.00562265 | + | 0.0564347i | ||||
\(778\) | − | 9.60278i | − | 0.344276i | ||||||
\(779\) | 29.0585i | 1.04113i | ||||||||
\(780\) | −38.6340 | − | 3.84915i | −1.38332 | − | 0.137822i | ||||
\(781\) | 18.7104i | 0.669510i | ||||||||
\(782\) | −3.20081 | + | 3.20081i | −0.114461 | + | 0.114461i | ||||
\(783\) | −42.3092 | + | 22.4309i | −1.51201 | + | 0.801615i | ||||
\(784\) | 16.2649i | 0.580889i | ||||||||
\(785\) | −16.6129 | + | 16.6129i | −0.592941 | + | 0.592941i | ||||
\(786\) | −9.21604 | + | 7.54602i | −0.328725 | + | 0.269158i | ||||
\(787\) | 27.0687 | + | 27.0687i | 0.964896 | + | 0.964896i | 0.999404 | − | 0.0345086i | \(-0.0109866\pi\) |
−0.0345086 | + | 0.999404i | \(0.510987\pi\) | |||||||
\(788\) | 11.6065i | 0.413464i | ||||||||
\(789\) | −4.37771 | + | 43.9392i | −0.155851 | + | 1.56428i | ||||
\(790\) | −9.52323 | −0.338821 | ||||||||
\(791\) | 3.21326 | + | 3.21326i | 0.114251 | + | 0.114251i | ||||
\(792\) | 1.58374 | − | 7.86912i | 0.0562758 | − | 0.279617i | ||||
\(793\) | 20.6294 | − | 16.3043i | 0.732573 | − | 0.578984i | ||||
\(794\) | 2.20692i | 0.0783208i | ||||||||
\(795\) | −15.1159 | − | 18.4613i | −0.536107 | − | 0.654754i | ||||
\(796\) | − | 21.3646i | − | 0.757250i | ||||||
\(797\) | 26.9903 | 0.956046 | 0.478023 | − | 0.878347i | \(-0.341354\pi\) | ||||
0.478023 | + | 0.878347i | \(0.341354\pi\) | |||||||
\(798\) | −0.803608 | − | 0.0800644i | −0.0284474 | − | 0.00283425i | ||||
\(799\) | 12.5227 | − | 12.5227i | 0.443020 | − | 0.443020i | ||||
\(800\) | 37.5020 | − | 37.5020i | 1.32590 | − | 1.32590i | ||||
\(801\) | −14.3407 | − | 21.5675i | −0.506702 | − | 0.762052i | ||||
\(802\) | 6.27185 | 0.221467 | ||||||||
\(803\) | −7.79856 | − | 7.79856i | −0.275205 | − | 0.275205i | ||||
\(804\) | 31.0932 | − | 25.4589i | 1.09657 | − | 0.897865i | ||||
\(805\) | 3.25834 | 0.114841 | ||||||||
\(806\) | 10.9134i | 0.384409i | ||||||||
\(807\) | −19.9057 | − | 1.98323i | −0.700715 | − | 0.0698131i | ||||
\(808\) | 30.0796 | 1.05820 | ||||||||
\(809\) | − | 18.8298i | − | 0.662020i | −0.943627 | − | 0.331010i | \(-0.892611\pi\) | ||
0.943627 | − | 0.331010i | \(-0.107389\pi\) | |||||||
\(810\) | −17.3585 | + | 7.09849i | −0.609917 | + | 0.249416i | ||||
\(811\) | 13.1716 | + | 13.1716i | 0.462519 | + | 0.462519i | 0.899480 | − | 0.436961i | \(-0.143945\pi\) |
−0.436961 | + | 0.899480i | \(0.643945\pi\) | |||||||
\(812\) | −5.09694 | −0.178867 | ||||||||
\(813\) | 41.7719 | + | 4.16178i | 1.46500 | + | 0.145960i | ||||
\(814\) | −1.44037 | + | 1.44037i | −0.0504850 | + | 0.0504850i | ||||
\(815\) | − | 12.2096i | − | 0.427683i | ||||||
\(816\) | −10.2846 | + | 8.42093i | −0.360032 | + | 0.294791i | ||||
\(817\) | −4.12437 | − | 4.12437i | −0.144293 | − | 0.144293i | ||||
\(818\) | 18.9351i | 0.662049i | ||||||||
\(819\) | 1.80584 | + | 2.71589i | 0.0631013 | + | 0.0949008i | ||||
\(820\) | 71.8225i | 2.50815i | ||||||||
\(821\) | 4.23406 | + | 4.23406i | 0.147770 | + | 0.147770i | 0.777121 | − | 0.629351i | \(-0.216679\pi\) |
−0.629351 | + | 0.777121i | \(0.716679\pi\) | |||||||
\(822\) | −0.331982 | + | 0.271824i | −0.0115792 | + | 0.00948094i | ||||
\(823\) | 20.8878 | + | 20.8878i | 0.728104 | + | 0.728104i | 0.970242 | − | 0.242138i | \(-0.0778486\pi\) |
−0.242138 | + | 0.970242i | \(0.577849\pi\) | |||||||
\(824\) | 15.7305 | + | 15.7305i | 0.547997 | + | 0.547997i | ||||
\(825\) | 18.2216 | − | 14.9197i | 0.634395 | − | 0.519437i | ||||
\(826\) | 1.25155 | + | 1.25155i | 0.0435468 | + | 0.0435468i | ||||
\(827\) | 44.3435i | 1.54197i | 0.636851 | + | 0.770987i | \(0.280236\pi\) | ||||
−0.636851 | + | 0.770987i | \(0.719764\pi\) | |||||||
\(828\) | 7.38418 | + | 11.1054i | 0.256618 | + | 0.385939i | ||||
\(829\) | 10.5530i | 0.366519i | 0.983065 | + | 0.183260i | \(0.0586649\pi\) | ||||
−0.983065 | + | 0.183260i | \(0.941335\pi\) | |||||||
\(830\) | 14.1245 | + | 14.1245i | 0.490268 | + | 0.490268i | ||||
\(831\) | −23.8479 | + | 19.5265i | −0.827275 | + | 0.677366i | ||||
\(832\) | − | 6.41802i | − | 0.222505i | ||||||
\(833\) | −15.8647 | + | 15.8647i | −0.549680 | + | 0.549680i | ||||
\(834\) | 0.450646 | + | 0.0448984i | 0.0156046 | + | 0.00155471i | ||||
\(835\) | 12.8464 | 0.444569 | ||||||||
\(836\) | 4.38624 | + | 4.38624i | 0.151701 | + | 0.151701i | ||||
\(837\) | −14.7194 | − | 27.7639i | −0.508778 | − | 0.959659i | ||||
\(838\) | 18.2773i | 0.631377i | ||||||||
\(839\) | 10.2756 | 0.354752 | 0.177376 | − | 0.984143i | \(-0.443239\pi\) | ||||
0.177376 | + | 0.984143i | \(0.443239\pi\) | |||||||
\(840\) | −4.30568 | − | 0.428980i | −0.148560 | − | 0.0148012i | ||||
\(841\) | 55.9340i | 1.92876i | ||||||||
\(842\) | −0.741261 | −0.0255456 | ||||||||
\(843\) | −3.44613 | + | 2.82166i | −0.118691 | + | 0.0971831i | ||||
\(844\) | 15.1304 | + | 15.1304i | 0.520810 | + | 0.520810i | ||||
\(845\) | −6.47466 | −0.222735 | ||||||||
\(846\) | 4.84628 | + | 7.28853i | 0.166618 | + | 0.250585i | ||||
\(847\) | −2.09893 | + | 2.09893i | −0.0721201 | + | 0.0721201i | ||||
\(848\) | 5.91013 | − | 5.91013i | 0.202955 | − | 0.202955i | ||||
\(849\) | −17.8446 | − | 1.77788i | −0.612424 | − | 0.0610165i | ||||
\(850\) | 17.6367 | 0.604933 | ||||||||
\(851\) | − | 7.33643i | − | 0.251490i | ||||||
\(852\) | 26.1528 | + | 31.9408i | 0.895981 | + | 1.09427i | ||||
\(853\) | − | 3.75849i | − | 0.128688i | −0.997928 | − | 0.0643441i | \(-0.979504\pi\) | ||
0.997928 | − | 0.0643441i | \(-0.0204955\pi\) | |||||||
\(854\) | 1.06060 | − | 0.838235i | 0.0362928 | − | 0.0286838i | ||||
\(855\) | 6.19862 | − | 30.7991i | 0.211988 | − | 1.05331i | ||||
\(856\) | 21.2169 | + | 21.2169i | 0.725180 | + | 0.725180i | ||||
\(857\) | −46.8168 | −1.59923 | −0.799616 | − | 0.600512i | \(-0.794964\pi\) | ||||
−0.799616 | + | 0.600512i | \(0.794964\pi\) | |||||||
\(858\) | −0.416630 | + | 4.18173i | −0.0142235 | + | 0.142762i | ||||
\(859\) | 7.32739i | 0.250007i | 0.992156 | + | 0.125004i | \(0.0398943\pi\) | ||||
−0.992156 | + | 0.125004i | \(0.960106\pi\) | |||||||
\(860\) | −10.1940 | − | 10.1940i | −0.347613 | − | 0.347613i | ||||
\(861\) | 4.66815 | − | 3.82225i | 0.159090 | − | 0.130262i | ||||
\(862\) | 9.04224 | − | 9.04224i | 0.307980 | − | 0.307980i | ||||
\(863\) | − | 20.2845i | − | 0.690493i | −0.938512 | − | 0.345246i | \(-0.887795\pi\) | ||
0.938512 | − | 0.345246i | \(-0.112205\pi\) | |||||||
\(864\) | −12.7644 | − | 24.0762i | −0.434254 | − | 0.819091i | ||||
\(865\) | −14.1151 | + | 14.1151i | −0.479929 | + | 0.479929i | ||||
\(866\) | − | 13.8140i | − | 0.469420i | ||||||
\(867\) | 11.0545 | + | 1.10138i | 0.375432 | + | 0.0374047i | ||||
\(868\) | − | 3.34467i | − | 0.113526i | ||||||
\(869\) | − | 6.14469i | − | 0.208444i | ||||||
\(870\) | −3.29761 | + | 33.0982i | −0.111800 | + | 1.12213i | ||||
\(871\) | −32.2497 | + | 32.2497i | −1.09274 | + | 1.09274i | ||||
\(872\) | −4.35089 | + | 4.35089i | −0.147340 | + | 0.147340i | ||||
\(873\) | 3.05566 | − | 15.1826i | 0.103418 | − | 0.513854i | ||||
\(874\) | 3.74777 | 0.126770 | ||||||||
\(875\) | −4.53851 | − | 4.53851i | −0.153430 | − | 0.153430i | ||||
\(876\) | −24.2136 | − | 2.41243i | −0.818103 | − | 0.0815086i | ||||
\(877\) | −26.0498 | − | 26.0498i | −0.879638 | − | 0.879638i | 0.113859 | − | 0.993497i | \(-0.463679\pi\) |
−0.993497 | + | 0.113859i | \(0.963679\pi\) | |||||||
\(878\) | 11.8943 | − | 11.8943i | 0.401414 | − | 0.401414i | ||||
\(879\) | 2.16426 | − | 21.7227i | 0.0729987 | − | 0.732689i | ||||
\(880\) | 8.71754 | + | 8.71754i | 0.293868 | + | 0.293868i | ||||
\(881\) | 44.5509 | 1.50096 | 0.750480 | − | 0.660894i | \(-0.229823\pi\) | ||||
0.750480 | + | 0.660894i | \(0.229823\pi\) | |||||||
\(882\) | −6.13965 | − | 9.23369i | −0.206733 | − | 0.310915i | ||||
\(883\) | 0.737635 | − | 0.737635i | 0.0248234 | − | 0.0248234i | −0.694586 | − | 0.719410i | \(-0.744412\pi\) |
0.719410 | + | 0.694586i | \(0.244412\pi\) | |||||||
\(884\) | 13.2658 | − | 13.2658i | 0.446176 | − | 0.446176i | ||||
\(885\) | −53.2745 | + | 43.6207i | −1.79080 | + | 1.46629i | ||||
\(886\) | −0.990341 | − | 0.990341i | −0.0332712 | − | 0.0332712i | ||||
\(887\) | −8.49605 | + | 8.49605i | −0.285269 | + | 0.285269i | −0.835206 | − | 0.549937i | \(-0.814652\pi\) |
0.549937 | + | 0.835206i | \(0.314652\pi\) | |||||||
\(888\) | −0.965885 | + | 9.69461i | −0.0324130 | + | 0.325330i | ||||
\(889\) | 0.0982196 | − | 0.0982196i | 0.00329418 | − | 0.00329418i | ||||
\(890\) | −17.9899 | −0.603021 | ||||||||
\(891\) | −4.58018 | − | 11.2003i | −0.153442 | − | 0.375223i | ||||
\(892\) | 23.6975 | − | 23.6975i | 0.793451 | − | 0.793451i | ||||
\(893\) | −14.6625 | −0.490663 | ||||||||
\(894\) | 7.31874 | + | 8.93847i | 0.244775 | + | 0.298947i | ||||
\(895\) | 39.5092i | 1.32065i | ||||||||
\(896\) | − | 3.71695i | − | 0.124175i | ||||||
\(897\) | −9.58862 | − | 11.7107i | −0.320155 | − | 0.391009i | ||||
\(898\) | −8.67402 | − | 8.67402i | −0.289456 | − | 0.289456i | ||||
\(899\) | −55.7347 | −1.85886 | ||||||||
\(900\) | 10.2521 | − | 50.9393i | 0.341735 | − | 1.69798i | ||||
\(901\) | 11.5294 | 0.384101 | ||||||||
\(902\) | 7.77404 | 0.258847 | ||||||||
\(903\) | −0.120063 | + | 1.20507i | −0.00399544 | + | 0.0401023i | ||||
\(904\) | 19.8025 | + | 19.8025i | 0.658622 | + | 0.658622i | ||||
\(905\) | 56.3674 | − | 56.3674i | 1.87372 | − | 1.87372i | ||||
\(906\) | −7.45352 | − | 0.742603i | −0.247627 | − | 0.0246713i | ||||
\(907\) | −22.4435 | − | 22.4435i | −0.745224 | − | 0.745224i | 0.228354 | − | 0.973578i | \(-0.426666\pi\) |
−0.973578 | + | 0.228354i | \(0.926666\pi\) | |||||||
\(908\) | 15.4049 | + | 15.4049i | 0.511229 | + | 0.511229i | ||||
\(909\) | 37.7598 | − | 25.1072i | 1.25241 | − | 0.832753i | ||||
\(910\) | 2.26537 | 0.0750962 | ||||||||
\(911\) | 3.13828i | 0.103976i | 0.998648 | + | 0.0519880i | \(0.0165557\pi\) | ||||
−0.998648 | + | 0.0519880i | \(0.983444\pi\) | |||||||
\(912\) | 10.9510 | + | 1.09106i | 0.362622 | + | 0.0361285i | ||||
\(913\) | −9.11357 | + | 9.11357i | −0.301615 | + | 0.301615i | ||||
\(914\) | −15.2679 | −0.505018 | ||||||||
\(915\) | 28.3578 | + | 44.2887i | 0.937480 | + | 1.46414i | ||||
\(916\) | −32.4908 | −1.07353 | ||||||||
\(917\) | −2.92952 | + | 2.92952i | −0.0967413 | + | 0.0967413i | ||||
\(918\) | 2.65990 | − | 8.66283i | 0.0877899 | − | 0.285916i | ||||
\(919\) | − | 42.0399i | − | 1.38677i | −0.720568 | − | 0.693384i | \(-0.756119\pi\) | ||
0.720568 | − | 0.693384i | \(-0.243881\pi\) | |||||||
\(920\) | 20.0803 | 0.662029 | ||||||||
\(921\) | −30.1060 | + | 24.6506i | −0.992028 | + | 0.812264i | ||||
\(922\) | −4.24499 | − | 4.24499i | −0.139801 | − | 0.139801i | ||||
\(923\) | −33.1287 | − | 33.1287i | −1.09045 | − | 1.09045i | ||||
\(924\) | 0.127686 | − | 1.28159i | 0.00420056 | − | 0.0421611i | ||||
\(925\) | −20.2121 | + | 20.2121i | −0.664569 | + | 0.664569i | ||||
\(926\) | 2.28492 | + | 2.28492i | 0.0750870 | + | 0.0750870i | ||||
\(927\) | 32.8770 | + | 6.61683i | 1.07982 | + | 0.217325i | ||||
\(928\) | −48.3320 | −1.58658 | ||||||||
\(929\) | 36.2070 | 1.18791 | 0.593956 | − | 0.804498i | \(-0.297565\pi\) | ||||
0.593956 | + | 0.804498i | \(0.297565\pi\) | |||||||
\(930\) | −21.7195 | − | 2.16394i | −0.712209 | − | 0.0709582i | ||||
\(931\) | 18.5757 | 0.608793 | ||||||||
\(932\) | 0.284570 | + | 0.284570i | 0.00932139 | + | 0.00932139i | ||||
\(933\) | −1.70951 | + | 1.39973i | −0.0559669 | + | 0.0458252i | ||||
\(934\) | 16.0233i | 0.524299i | ||||||||
\(935\) | 17.0061i | 0.556159i | ||||||||
\(936\) | 11.1289 | + | 16.7373i | 0.363761 | + | 0.547076i | ||||
\(937\) | 19.4969 | 0.636937 | 0.318469 | − | 0.947933i | \(-0.396831\pi\) | ||||
0.318469 | + | 0.947933i | \(0.396831\pi\) | |||||||
\(938\) | −1.65801 | + | 1.65801i | −0.0541360 | + | 0.0541360i | ||||
\(939\) | 4.21645 | + | 5.14961i | 0.137599 | + | 0.168051i | ||||
\(940\) | −36.2407 | −1.18204 | ||||||||
\(941\) | −3.64304 | + | 3.64304i | −0.118760 | + | 0.118760i | −0.763989 | − | 0.645229i | \(-0.776762\pi\) |
0.645229 | + | 0.763989i | \(0.276762\pi\) | |||||||
\(942\) | 5.58313 | + | 0.556254i | 0.181908 | + | 0.0181237i | ||||
\(943\) | −19.7982 | + | 19.7982i | −0.644720 | + | 0.644720i | ||||
\(944\) | −17.0551 | − | 17.0551i | −0.555096 | − | 0.555096i | ||||
\(945\) | −5.76312 | + | 3.05541i | −0.187474 | + | 0.0993924i | ||||
\(946\) | −1.10340 | + | 1.10340i | −0.0358745 | + | 0.0358745i | ||||
\(947\) | 6.73212 | − | 6.73212i | 0.218765 | − | 0.218765i | −0.589213 | − | 0.807978i | \(-0.700562\pi\) |
0.807978 | + | 0.589213i | \(0.200562\pi\) | |||||||
\(948\) | −8.58888 | − | 10.4897i | −0.278954 | − | 0.340690i | ||||
\(949\) | 27.6164 | 0.896465 | ||||||||
\(950\) | −10.3252 | − | 10.3252i | −0.334994 | − | 0.334994i | ||||
\(951\) | 25.3778 | + | 2.52842i | 0.822933 | + | 0.0819898i | ||||
\(952\) | 1.47844 | − | 1.47844i | 0.0479166 | − | 0.0479166i | ||||
\(953\) | 5.66135 | + | 5.66135i | 0.183389 | + | 0.183389i | 0.792831 | − | 0.609442i | \(-0.208606\pi\) |
−0.609442 | + | 0.792831i | \(0.708606\pi\) | |||||||
\(954\) | −1.12427 | + | 5.58617i | −0.0363997 | + | 0.180859i | ||||
\(955\) | 31.3136 | + | 31.3136i | 1.01328 | + | 1.01328i | ||||
\(956\) | 3.06941 | 0.0992719 | ||||||||
\(957\) | −21.3560 | − | 2.12773i | −0.690342 | − | 0.0687796i | ||||
\(958\) | −6.01290 | + | 6.01290i | −0.194268 | + | 0.194268i | ||||
\(959\) | −0.105528 | + | 0.105528i | −0.00340766 | + | 0.00340766i | ||||
\(960\) | 12.7729 | + | 1.27258i | 0.412243 | + | 0.0410722i | ||||
\(961\) | − | 5.57383i | − | 0.179801i | ||||||
\(962\) | − | 5.10067i | − | 0.164452i | ||||||
\(963\) | 44.3438 | + | 8.92465i | 1.42896 | + | 0.287593i | ||||
\(964\) | − | 22.1779i | − | 0.714302i | ||||||
\(965\) | −50.7702 | + | 50.7702i | −1.63435 | + | 1.63435i | ||||
\(966\) | −0.492968 | − | 0.602068i | −0.0158610 | − | 0.0193712i | ||||
\(967\) | − | 37.0666i | − | 1.19198i | −0.802992 | − | 0.595990i | \(-0.796760\pi\) | ||
0.802992 | − | 0.595990i | \(-0.203240\pi\) | |||||||
\(968\) | −12.9352 | + | 12.9352i | −0.415752 | + | 0.415752i | ||||
\(969\) | 9.61730 | + | 11.7457i | 0.308952 | + | 0.377327i | ||||
\(970\) | −7.60643 | − | 7.60643i | −0.244228 | − | 0.244228i | ||||
\(971\) | 30.2488i | 0.970730i | 0.874312 | + | 0.485365i | \(0.161313\pi\) | ||||
−0.874312 | + | 0.485365i | \(0.838687\pi\) | |||||||
\(972\) | −23.4743 | − | 12.7181i | −0.752939 | − | 0.407934i | ||||
\(973\) | 0.157520 | 0.00504985 | ||||||||
\(974\) | 7.75539 | + | 7.75539i | 0.248499 | + | 0.248499i | ||||
\(975\) | −5.84638 | + | 58.6803i | −0.187234 | + | 1.87927i | ||||
\(976\) | −14.4530 | + | 11.4228i | −0.462629 | + | 0.365636i | ||||
\(977\) | 28.8106i | 0.921734i | 0.887469 | + | 0.460867i | \(0.152461\pi\) | ||||
−0.887469 | + | 0.460867i | \(0.847539\pi\) | |||||||
\(978\) | −2.25605 | + | 1.84724i | −0.0721406 | + | 0.0590681i | ||||
\(979\) | − | 11.6076i | − | 0.370981i | ||||||
\(980\) | 45.9127 | 1.46663 | ||||||||
\(981\) | −1.83015 | + | 9.09346i | −0.0584322 | + | 0.290332i | ||||
\(982\) | −8.63177 | + | 8.63177i | −0.275451 | + | 0.275451i | ||||
\(983\) | −37.4871 | + | 37.4871i | −1.19565 | + | 1.19565i | −0.220198 | + | 0.975455i | \(0.570670\pi\) |
−0.975455 | + | 0.220198i | \(0.929330\pi\) | |||||||
\(984\) | 28.7686 | − | 23.5555i | 0.917110 | − | 0.750922i | ||||
\(985\) | 26.3449 | 0.839417 | ||||||||
\(986\) | −11.3649 | − | 11.3649i | −0.361934 | − | 0.361934i | ||||
\(987\) | 1.92866 | + | 2.35549i | 0.0613898 | + | 0.0749761i | ||||
\(988\) | −15.5326 | −0.494159 | ||||||||
\(989\) | − | 5.62007i | − | 0.178708i | ||||||
\(990\) | −8.23970 | − | 1.65832i | −0.261875 | − | 0.0527049i | ||||
\(991\) | 50.8031 | 1.61381 | 0.806907 | − | 0.590678i | \(-0.201140\pi\) | ||||
0.806907 | + | 0.590678i | \(0.201140\pi\) | |||||||
\(992\) | − | 31.7161i | − | 1.00699i | ||||||
\(993\) | −25.0061 | + | 20.4748i | −0.793545 | + | 0.649748i | ||||
\(994\) | −1.70321 | − | 1.70321i | −0.0540224 | − | 0.0540224i | ||||
\(995\) | −48.4942 | −1.53737 | ||||||||
\(996\) | −2.81922 | + | 28.2966i | −0.0893305 | + | 0.896612i | ||||
\(997\) | −10.7738 | + | 10.7738i | −0.341209 | + | 0.341209i | −0.856822 | − | 0.515613i | \(-0.827564\pi\) |
0.515613 | + | 0.856822i | \(0.327564\pi\) | |||||||
\(998\) | 6.82099i | 0.215915i | ||||||||
\(999\) | 6.87951 | + | 12.9761i | 0.217658 | + | 0.410547i |
(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 | 183.2.g.c.11.6 | ✓ | 28 | |
3.2 | odd | 2 | inner | 183.2.g.c.11.9 | yes | 28 | |
61.50 | odd | 4 | inner | 183.2.g.c.50.9 | yes | 28 | |
183.50 | even | 4 | inner | 183.2.g.c.50.6 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
183.2.g.c.11.6 | ✓ | 28 | 1.1 | even | 1 | trivial | |
183.2.g.c.11.9 | yes | 28 | 3.2 | odd | 2 | inner | |
183.2.g.c.50.6 | yes | 28 | 183.50 | even | 4 | inner | |
183.2.g.c.50.9 | yes | 28 | 61.50 | odd | 4 | inner |