Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [80,2,Mod(21,80)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(80, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("80.21");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 80 = 2^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 80.l (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: | \(0.638803216170\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} + 4 x^{14} + 7 x^{12} - 8 x^{11} - 28 x^{10} + 28 x^{9} + 17 x^{8} + 56 x^{7} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{5} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 61.2 | ||
Root | \(-0.530822 - 1.31081i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 80.61 |
Dual form | 80.2.l.a.21.2 |
$q$-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 \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(21\) | \(31\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.17275 | − | 0.790349i | −0.829261 | − | 0.558861i | ||||
\(3\) | 1.37027 | + | 1.37027i | 0.791125 | + | 0.791125i | 0.981677 | − | 0.190552i | \(-0.0610278\pi\) |
−0.190552 | + | 0.981677i | \(0.561028\pi\) | |||||||
\(4\) | 0.750696 | + | 1.85377i | 0.375348 | + | 0.926884i | ||||
\(5\) | −0.707107 | + | 0.707107i | −0.316228 | + | 0.316228i | ||||
\(6\) | −0.523995 | − | 2.68998i | −0.213920 | − | 1.09818i | ||||
\(7\) | 2.73482i | 1.03366i | 0.856087 | + | 0.516832i | \(0.172889\pi\) | ||||
−0.856087 | + | 0.516832i | \(0.827111\pi\) | |||||||
\(8\) | 0.584744 | − | 2.76732i | 0.206738 | − | 0.978396i | ||||
\(9\) | 0.755274i | 0.251758i | ||||||||
\(10\) | 1.38812 | − | 0.270400i | 0.438963 | − | 0.0855079i | ||||
\(11\) | 4.12175 | − | 4.12175i | 1.24275 | − | 1.24275i | 0.283900 | − | 0.958854i | \(-0.408371\pi\) |
0.958854 | − | 0.283900i | \(-0.0916285\pi\) | |||||||
\(12\) | −1.51151 | + | 3.56882i | −0.436334 | + | 1.03023i | ||||
\(13\) | −1.37919 | − | 1.37919i | −0.382519 | − | 0.382519i | 0.489490 | − | 0.872009i | \(-0.337183\pi\) |
−0.872009 | + | 0.489490i | \(0.837183\pi\) | |||||||
\(14\) | 2.16146 | − | 3.20726i | 0.577675 | − | 0.857177i | ||||
\(15\) | −1.93785 | −0.500352 | ||||||||
\(16\) | −2.87291 | + | 2.78323i | −0.718228 | + | 0.695808i | ||||
\(17\) | −4.94921 | −1.20036 | −0.600180 | − | 0.799865i | \(-0.704905\pi\) | ||||
−0.600180 | + | 0.799865i | \(0.704905\pi\) | |||||||
\(18\) | 0.596931 | − | 0.885750i | 0.140698 | − | 0.208773i | ||||
\(19\) | −0.292715 | − | 0.292715i | −0.0671535 | − | 0.0671535i | 0.672732 | − | 0.739886i | \(-0.265121\pi\) |
−0.739886 | + | 0.672732i | \(0.765121\pi\) | |||||||
\(20\) | −1.84163 | − | 0.779990i | −0.411802 | − | 0.174411i | ||||
\(21\) | −3.74744 | + | 3.74744i | −0.817757 | + | 0.817757i | ||||
\(22\) | −8.09141 | + | 1.57617i | −1.72510 | + | 0.336040i | ||||
\(23\) | 1.64818i | 0.343670i | 0.985126 | + | 0.171835i | \(0.0549696\pi\) | ||||
−0.985126 | + | 0.171835i | \(0.945030\pi\) | |||||||
\(24\) | 4.59323 | − | 2.99072i | 0.937590 | − | 0.610478i | ||||
\(25\) | − | 1.00000i | − | 0.200000i | ||||||
\(26\) | 0.527407 | + | 2.70749i | 0.103433 | + | 0.530983i | ||||
\(27\) | 3.07588 | − | 3.07588i | 0.591953 | − | 0.591953i | ||||
\(28\) | −5.06972 | + | 2.05302i | −0.958086 | + | 0.387984i | ||||
\(29\) | −5.67267 | − | 5.67267i | −1.05339 | − | 1.05339i | −0.998492 | − | 0.0548963i | \(-0.982517\pi\) |
−0.0548963 | − | 0.998492i | \(-0.517483\pi\) | |||||||
\(30\) | 2.27262 | + | 1.53158i | 0.414922 | + | 0.279627i | ||||
\(31\) | 3.95550 | 0.710430 | 0.355215 | − | 0.934785i | \(-0.384408\pi\) | ||||
0.355215 | + | 0.934785i | \(0.384408\pi\) | |||||||
\(32\) | 5.56894 | − | 0.993438i | 0.984459 | − | 0.175617i | ||||
\(33\) | 11.2958 | 1.96635 | ||||||||
\(34\) | 5.80420 | + | 3.91161i | 0.995413 | + | 0.670835i | ||||
\(35\) | −1.93381 | − | 1.93381i | −0.326873 | − | 0.326873i | ||||
\(36\) | −1.40010 | + | 0.566981i | −0.233351 | + | 0.0944969i | ||||
\(37\) | 2.48772 | − | 2.48772i | 0.408979 | − | 0.408979i | −0.472403 | − | 0.881382i | \(-0.656613\pi\) |
0.881382 | + | 0.472403i | \(0.156613\pi\) | |||||||
\(38\) | 0.111935 | + | 0.574630i | 0.0181583 | + | 0.0932173i | ||||
\(39\) | − | 3.77973i | − | 0.605241i | ||||||
\(40\) | 1.54332 | + | 2.37027i | 0.244020 | + | 0.374772i | ||||
\(41\) | 8.40843i | 1.31318i | 0.754250 | + | 0.656588i | \(0.228001\pi\) | ||||
−0.754250 | + | 0.656588i | \(0.771999\pi\) | |||||||
\(42\) | 7.35660 | − | 1.43303i | 1.13515 | − | 0.221121i | ||||
\(43\) | −3.22713 | + | 3.22713i | −0.492133 | + | 0.492133i | −0.908978 | − | 0.416845i | \(-0.863136\pi\) |
0.416845 | + | 0.908978i | \(0.363136\pi\) | |||||||
\(44\) | 10.7349 | + | 4.54659i | 1.61835 | + | 0.685424i | ||||
\(45\) | −0.534060 | − | 0.534060i | −0.0796129 | − | 0.0796129i | ||||
\(46\) | 1.30264 | − | 1.93291i | 0.192064 | − | 0.284992i | ||||
\(47\) | −5.19809 | −0.758219 | −0.379109 | − | 0.925352i | \(-0.623770\pi\) | ||||
−0.379109 | + | 0.925352i | \(0.623770\pi\) | |||||||
\(48\) | −7.75044 | − | 0.122885i | −1.11868 | − | 0.0177369i | ||||
\(49\) | −0.479225 | −0.0684607 | ||||||||
\(50\) | −0.790349 | + | 1.17275i | −0.111772 | + | 0.165852i | ||||
\(51\) | −6.78176 | − | 6.78176i | −0.949636 | − | 0.949636i | ||||
\(52\) | 1.52135 | − | 3.59205i | 0.210973 | − | 0.498128i | ||||
\(53\) | 7.20537 | − | 7.20537i | 0.989733 | − | 0.989733i | −0.0102143 | − | 0.999948i | \(-0.503251\pi\) |
0.999948 | + | 0.0102143i | \(0.00325138\pi\) | |||||||
\(54\) | −6.03826 | + | 1.17622i | −0.821703 | + | 0.160064i | ||||
\(55\) | 5.82903i | 0.785987i | ||||||||
\(56\) | 7.56812 | + | 1.59917i | 1.01133 | + | 0.213698i | ||||
\(57\) | − | 0.802198i | − | 0.106254i | ||||||
\(58\) | 2.16925 | + | 11.1360i | 0.284836 | + | 1.46223i | ||||
\(59\) | −6.41142 | + | 6.41142i | −0.834695 | + | 0.834695i | −0.988155 | − | 0.153459i | \(-0.950959\pi\) |
0.153459 | + | 0.988155i | \(0.450959\pi\) | |||||||
\(60\) | −1.45474 | − | 3.59233i | −0.187806 | − | 0.463768i | ||||
\(61\) | −3.82618 | − | 3.82618i | −0.489892 | − | 0.489892i | 0.418380 | − | 0.908272i | \(-0.362598\pi\) |
−0.908272 | + | 0.418380i | \(0.862598\pi\) | |||||||
\(62\) | −4.63883 | − | 3.12623i | −0.589132 | − | 0.397032i | ||||
\(63\) | −2.06554 | −0.260233 | ||||||||
\(64\) | −7.31615 | − | 3.23635i | −0.914519 | − | 0.404544i | ||||
\(65\) | 1.95047 | 0.241926 | ||||||||
\(66\) | −13.2472 | − | 8.92764i | −1.63062 | − | 1.09892i | ||||
\(67\) | 5.76044 | + | 5.76044i | 0.703750 | + | 0.703750i | 0.965213 | − | 0.261463i | \(-0.0842050\pi\) |
−0.261463 | + | 0.965213i | \(0.584205\pi\) | |||||||
\(68\) | −3.71535 | − | 9.17470i | −0.450553 | − | 1.11260i | ||||
\(69\) | −2.25846 | + | 2.25846i | −0.271886 | + | 0.271886i | ||||
\(70\) | 0.739494 | + | 3.79626i | 0.0883864 | + | 0.453740i | ||||
\(71\) | 7.92245i | 0.940222i | 0.882607 | + | 0.470111i | \(0.155786\pi\) | ||||
−0.882607 | + | 0.470111i | \(0.844214\pi\) | |||||||
\(72\) | 2.09009 | + | 0.441642i | 0.246319 | + | 0.0520480i | ||||
\(73\) | − | 4.36276i | − | 0.510622i | −0.966859 | − | 0.255311i | \(-0.917822\pi\) | ||
0.966859 | − | 0.255311i | \(-0.0821779\pi\) | |||||||
\(74\) | −4.88365 | + | 0.951312i | −0.567713 | + | 0.110588i | ||||
\(75\) | 1.37027 | − | 1.37027i | 0.158225 | − | 0.158225i | ||||
\(76\) | 0.322886 | − | 0.762367i | 0.0370376 | − | 0.0874495i | ||||
\(77\) | 11.2722 | + | 11.2722i | 1.28459 | + | 1.28459i | ||||
\(78\) | −2.98730 | + | 4.43268i | −0.338246 | + | 0.501902i | ||||
\(79\) | −5.56087 | −0.625647 | −0.312824 | − | 0.949811i | \(-0.601275\pi\) | ||||
−0.312824 | + | 0.949811i | \(0.601275\pi\) | |||||||
\(80\) | 0.0634130 | − | 3.99950i | 0.00708979 | − | 0.447157i | ||||
\(81\) | 10.6954 | 1.18838 | ||||||||
\(82\) | 6.64559 | − | 9.86100i | 0.733883 | − | 1.08897i | ||||
\(83\) | −0.516191 | − | 0.516191i | −0.0566594 | − | 0.0566594i | 0.678209 | − | 0.734869i | \(-0.262756\pi\) |
−0.734869 | + | 0.678209i | \(0.762756\pi\) | |||||||
\(84\) | −9.76006 | − | 4.13369i | −1.06491 | − | 0.451023i | ||||
\(85\) | 3.49962 | − | 3.49962i | 0.379587 | − | 0.379587i | ||||
\(86\) | 6.33518 | − | 1.23406i | 0.683140 | − | 0.133073i | ||||
\(87\) | − | 15.5462i | − | 1.66672i | ||||||
\(88\) | −8.99604 | − | 13.8164i | −0.958981 | − | 1.47283i | ||||
\(89\) | 6.42236i | 0.680768i | 0.940286 | + | 0.340384i | \(0.110557\pi\) | ||||
−0.940286 | + | 0.340384i | \(0.889443\pi\) | |||||||
\(90\) | 0.204226 | + | 1.04841i | 0.0215273 | + | 0.110512i | ||||
\(91\) | 3.77184 | − | 3.77184i | 0.395396 | − | 0.395396i | ||||
\(92\) | −3.05535 | + | 1.23729i | −0.318542 | + | 0.128996i | ||||
\(93\) | 5.42011 | + | 5.42011i | 0.562039 | + | 0.562039i | ||||
\(94\) | 6.09607 | + | 4.10830i | 0.628761 | + | 0.423739i | ||||
\(95\) | 0.413962 | 0.0424716 | ||||||||
\(96\) | 8.99222 | + | 6.26967i | 0.917765 | + | 0.639895i | ||||
\(97\) | −9.44534 | −0.959029 | −0.479515 | − | 0.877534i | \(-0.659187\pi\) | ||||
−0.479515 | + | 0.877534i | \(0.659187\pi\) | |||||||
\(98\) | 0.562012 | + | 0.378755i | 0.0567718 | + | 0.0382600i | ||||
\(99\) | 3.11305 | + | 3.11305i | 0.312873 | + | 0.312873i | ||||
\(100\) | 1.85377 | − | 0.750696i | 0.185377 | − | 0.0750696i | ||||
\(101\) | −11.0542 | + | 11.0542i | −1.09993 | + | 1.09993i | −0.105515 | + | 0.994418i | \(0.533649\pi\) |
−0.994418 | + | 0.105515i | \(0.966351\pi\) | |||||||
\(102\) | 2.59336 | + | 13.3133i | 0.256781 | + | 1.31821i | ||||
\(103\) | 5.46824i | 0.538801i | 0.963028 | + | 0.269401i | \(0.0868256\pi\) | ||||
−0.963028 | + | 0.269401i | \(0.913174\pi\) | |||||||
\(104\) | −4.62314 | + | 3.01019i | −0.453336 | + | 0.295174i | ||||
\(105\) | − | 5.29967i | − | 0.517195i | ||||||
\(106\) | −14.1449 | + | 2.75535i | −1.37387 | + | 0.267624i | ||||
\(107\) | 0.293704 | − | 0.293704i | 0.0283934 | − | 0.0283934i | −0.692768 | − | 0.721161i | \(-0.743609\pi\) |
0.721161 | + | 0.692768i | \(0.243609\pi\) | |||||||
\(108\) | 8.01101 | + | 3.39292i | 0.770860 | + | 0.326483i | ||||
\(109\) | 10.4135 | + | 10.4135i | 0.997429 | + | 0.997429i | 0.999997 | − | 0.00256817i | \(-0.000817475\pi\) |
−0.00256817 | + | 0.999997i | \(0.500817\pi\) | |||||||
\(110\) | 4.60697 | − | 6.83601i | 0.439258 | − | 0.651788i | ||||
\(111\) | 6.81770 | 0.647107 | ||||||||
\(112\) | −7.61163 | − | 7.85689i | −0.719231 | − | 0.742406i | ||||
\(113\) | −17.4145 | −1.63822 | −0.819108 | − | 0.573639i | \(-0.805531\pi\) | ||||
−0.819108 | + | 0.573639i | \(0.805531\pi\) | |||||||
\(114\) | −0.634017 | + | 0.940779i | −0.0593811 | + | 0.0881121i | ||||
\(115\) | −1.16544 | − | 1.16544i | −0.108678 | − | 0.108678i | ||||
\(116\) | 6.25736 | − | 14.7743i | 0.580982 | − | 1.37176i | ||||
\(117\) | 1.04167 | − | 1.04167i | 0.0963022 | − | 0.0963022i | ||||
\(118\) | 12.5863 | − | 2.45175i | 1.15866 | − | 0.225701i | ||||
\(119\) | − | 13.5352i | − | 1.24077i | ||||||
\(120\) | −1.13315 | + | 5.36266i | −0.103442 | + | 0.489542i | ||||
\(121\) | − | 22.9776i | − | 2.08888i | ||||||
\(122\) | 1.46314 | + | 7.51117i | 0.132467 | + | 0.680030i | ||||
\(123\) | −11.5218 | + | 11.5218i | −1.03889 | + | 1.03889i | ||||
\(124\) | 2.96938 | + | 7.33259i | 0.266658 | + | 0.658486i | ||||
\(125\) | 0.707107 | + | 0.707107i | 0.0632456 | + | 0.0632456i | ||||
\(126\) | 2.42236 | + | 1.63250i | 0.215801 | + | 0.145434i | ||||
\(127\) | 10.9793 | 0.974254 | 0.487127 | − | 0.873331i | \(-0.338045\pi\) | ||||
0.487127 | + | 0.873331i | \(0.338045\pi\) | |||||||
\(128\) | 6.02218 | + | 9.57775i | 0.532291 | + | 0.846562i | ||||
\(129\) | −8.84407 | −0.778677 | ||||||||
\(130\) | −2.28742 | − | 1.54155i | −0.200620 | − | 0.135203i | ||||
\(131\) | 5.77044 | + | 5.77044i | 0.504166 | + | 0.504166i | 0.912730 | − | 0.408564i | \(-0.133970\pi\) |
−0.408564 | + | 0.912730i | \(0.633970\pi\) | |||||||
\(132\) | 8.47972 | + | 20.9398i | 0.738065 | + | 1.82258i | ||||
\(133\) | 0.800523 | − | 0.800523i | 0.0694142 | − | 0.0694142i | ||||
\(134\) | −2.20281 | − | 11.3083i | −0.190294 | − | 0.976892i | ||||
\(135\) | 4.34995i | 0.374384i | ||||||||
\(136\) | −2.89402 | + | 13.6961i | −0.248160 | + | 1.17443i | ||||
\(137\) | 7.18832i | 0.614139i | 0.951687 | + | 0.307070i | \(0.0993484\pi\) | ||||
−0.951687 | + | 0.307070i | \(0.900652\pi\) | |||||||
\(138\) | 4.43358 | − | 0.863640i | 0.377411 | − | 0.0735180i | ||||
\(139\) | 4.91327 | − | 4.91327i | 0.416738 | − | 0.416738i | −0.467340 | − | 0.884078i | \(-0.654788\pi\) |
0.884078 | + | 0.467340i | \(0.154788\pi\) | |||||||
\(140\) | 2.13313 | − | 5.03653i | 0.180282 | − | 0.425665i | ||||
\(141\) | −7.12278 | − | 7.12278i | −0.599846 | − | 0.599846i | ||||
\(142\) | 6.26150 | − | 9.29107i | 0.525454 | − | 0.779689i | ||||
\(143\) | −11.3694 | −0.950754 | ||||||||
\(144\) | −2.10210 | − | 2.16984i | −0.175175 | − | 0.180820i | ||||
\(145\) | 8.02237 | 0.666221 | ||||||||
\(146\) | −3.44810 | + | 5.11644i | −0.285367 | + | 0.423439i | ||||
\(147\) | −0.656667 | − | 0.656667i | −0.0541609 | − | 0.0541609i | ||||
\(148\) | 6.47918 | + | 2.74414i | 0.532585 | + | 0.225567i | ||||
\(149\) | 9.76620 | − | 9.76620i | 0.800078 | − | 0.800078i | −0.183029 | − | 0.983107i | \(-0.558590\pi\) |
0.983107 | + | 0.183029i | \(0.0585903\pi\) | |||||||
\(150\) | −2.68998 | + | 0.523995i | −0.219636 | + | 0.0427840i | ||||
\(151\) | − | 1.90755i | − | 0.155234i | −0.996983 | − | 0.0776169i | \(-0.975269\pi\) | ||
0.996983 | − | 0.0776169i | \(-0.0247311\pi\) | |||||||
\(152\) | −0.981202 | + | 0.638874i | −0.0795860 | + | 0.0518196i | ||||
\(153\) | − | 3.73801i | − | 0.302201i | ||||||
\(154\) | −4.31053 | − | 22.1285i | −0.347353 | − | 1.78317i | ||||
\(155\) | −2.79696 | + | 2.79696i | −0.224658 | + | 0.224658i | ||||
\(156\) | 7.00674 | − | 2.83742i | 0.560988 | − | 0.227176i | ||||
\(157\) | −4.41296 | − | 4.41296i | −0.352192 | − | 0.352192i | 0.508732 | − | 0.860925i | \(-0.330114\pi\) |
−0.860925 | + | 0.508732i | \(0.830114\pi\) | |||||||
\(158\) | 6.52153 | + | 4.39503i | 0.518825 | + | 0.349650i | ||||
\(159\) | 19.7466 | 1.56601 | ||||||||
\(160\) | −3.23537 | + | 4.64030i | −0.255778 | + | 0.366848i | ||||
\(161\) | −4.50748 | −0.355240 | ||||||||
\(162\) | −12.5430 | − | 8.45309i | −0.985474 | − | 0.664137i | ||||
\(163\) | −3.58912 | − | 3.58912i | −0.281122 | − | 0.281122i | 0.552435 | − | 0.833556i | \(-0.313699\pi\) |
−0.833556 | + | 0.552435i | \(0.813699\pi\) | |||||||
\(164\) | −15.5873 | + | 6.31217i | −1.21716 | + | 0.492898i | ||||
\(165\) | −7.98734 | + | 7.98734i | −0.621814 | + | 0.621814i | ||||
\(166\) | 0.197393 | + | 1.01334i | 0.0153207 | + | 0.0786501i | ||||
\(167\) | − | 17.5993i | − | 1.36188i | −0.732341 | − | 0.680938i | \(-0.761572\pi\) | ||
0.732341 | − | 0.680938i | \(-0.238428\pi\) | |||||||
\(168\) | 8.17907 | + | 12.5617i | 0.631029 | + | 0.969153i | ||||
\(169\) | − | 9.19566i | − | 0.707359i | ||||||
\(170\) | −6.87012 | + | 1.33827i | −0.526914 | + | 0.102640i | ||||
\(171\) | 0.221080 | − | 0.221080i | 0.0169064 | − | 0.0169064i | ||||
\(172\) | −8.40494 | − | 3.55976i | −0.640871 | − | 0.271429i | ||||
\(173\) | −7.32377 | − | 7.32377i | −0.556816 | − | 0.556816i | 0.371584 | − | 0.928400i | \(-0.378815\pi\) |
−0.928400 | + | 0.371584i | \(0.878815\pi\) | |||||||
\(174\) | −12.2869 | + | 18.2318i | −0.931468 | + | 1.38215i | ||||
\(175\) | 2.73482 | 0.206733 | ||||||||
\(176\) | −0.369636 | + | 23.3132i | −0.0278624 | + | 1.75730i | ||||
\(177\) | −17.5707 | −1.32070 | ||||||||
\(178\) | 5.07590 | − | 7.53183i | 0.380455 | − | 0.564535i | ||||
\(179\) | 6.42849 | + | 6.42849i | 0.480488 | + | 0.480488i | 0.905287 | − | 0.424800i | \(-0.139655\pi\) |
−0.424800 | + | 0.905287i | \(0.639655\pi\) | |||||||
\(180\) | 0.589106 | − | 1.39094i | 0.0439094 | − | 0.103674i | ||||
\(181\) | −3.67884 | + | 3.67884i | −0.273446 | + | 0.273446i | −0.830486 | − | 0.557040i | \(-0.811937\pi\) |
0.557040 | + | 0.830486i | \(0.311937\pi\) | |||||||
\(182\) | −7.40450 | + | 1.44236i | −0.548858 | + | 0.106915i | ||||
\(183\) | − | 10.4858i | − | 0.775131i | ||||||
\(184\) | 4.56106 | + | 0.963766i | 0.336246 | + | 0.0710498i | ||||
\(185\) | 3.51817i | 0.258661i | ||||||||
\(186\) | −2.07266 | − | 10.6402i | −0.151975 | − | 0.780179i | ||||
\(187\) | −20.3994 | + | 20.3994i | −1.49175 | + | 1.49175i | ||||
\(188\) | −3.90218 | − | 9.63605i | −0.284596 | − | 0.702781i | ||||
\(189\) | 8.41196 | + | 8.41196i | 0.611880 | + | 0.611880i | ||||
\(190\) | −0.485475 | − | 0.327175i | −0.0352201 | − | 0.0237357i | ||||
\(191\) | −5.39093 | −0.390074 | −0.195037 | − | 0.980796i | \(-0.562483\pi\) | ||||
−0.195037 | + | 0.980796i | \(0.562483\pi\) | |||||||
\(192\) | −5.59042 | − | 14.4598i | −0.403454 | − | 1.04354i | ||||
\(193\) | −3.53818 | −0.254684 | −0.127342 | − | 0.991859i | \(-0.540645\pi\) | ||||
−0.127342 | + | 0.991859i | \(0.540645\pi\) | |||||||
\(194\) | 11.0770 | + | 7.46512i | 0.795286 | + | 0.535964i | ||||
\(195\) | 2.67267 | + | 2.67267i | 0.191394 | + | 0.191394i | ||||
\(196\) | −0.359752 | − | 0.888371i | −0.0256966 | − | 0.0634551i | ||||
\(197\) | 10.6900 | − | 10.6900i | 0.761627 | − | 0.761627i | −0.214989 | − | 0.976616i | \(-0.568972\pi\) |
0.976616 | + | 0.214989i | \(0.0689716\pi\) | |||||||
\(198\) | −1.19044 | − | 6.11124i | −0.0846009 | − | 0.434307i | ||||
\(199\) | 15.6543i | 1.10971i | 0.831948 | + | 0.554853i | \(0.187226\pi\) | ||||
−0.831948 | + | 0.554853i | \(0.812774\pi\) | |||||||
\(200\) | −2.76732 | − | 0.584744i | −0.195679 | − | 0.0413476i | ||||
\(201\) | 15.7867i | 1.11351i | ||||||||
\(202\) | 21.7005 | − | 4.22715i | 1.52684 | − | 0.297421i | ||||
\(203\) | 15.5137 | − | 15.5137i | 1.08885 | − | 1.08885i | ||||
\(204\) | 7.48076 | − | 17.6628i | 0.523758 | − | 1.23665i | ||||
\(205\) | −5.94566 | − | 5.94566i | −0.415263 | − | 0.415263i | ||||
\(206\) | 4.32182 | − | 6.41289i | 0.301115 | − | 0.446807i | ||||
\(207\) | −1.24483 | −0.0865218 | ||||||||
\(208\) | 7.80090 | + | 0.123685i | 0.540895 | + | 0.00857603i | ||||
\(209\) | −2.41300 | −0.166911 | ||||||||
\(210\) | −4.18859 | + | 6.21520i | −0.289040 | + | 0.428890i | ||||
\(211\) | −19.9359 | − | 19.9359i | −1.37244 | − | 1.37244i | −0.856809 | − | 0.515634i | \(-0.827556\pi\) |
−0.515634 | − | 0.856809i | \(-0.672444\pi\) | |||||||
\(212\) | 18.7661 | + | 7.94804i | 1.28886 | + | 0.545874i | ||||
\(213\) | −10.8559 | + | 10.8559i | −0.743833 | + | 0.743833i | ||||
\(214\) | −0.576570 | + | 0.112313i | −0.0394135 | + | 0.00767757i | ||||
\(215\) | − | 4.56385i | − | 0.311252i | ||||||
\(216\) | −6.71335 | − | 10.3105i | −0.456785 | − | 0.701544i | ||||
\(217\) | 10.8176i | 0.734345i | ||||||||
\(218\) | −3.98214 | − | 20.4427i | −0.269704 | − | 1.38455i | ||||
\(219\) | 5.97815 | − | 5.97815i | 0.403966 | − | 0.403966i | ||||
\(220\) | −10.8057 | + | 4.37583i | −0.728519 | + | 0.295019i | ||||
\(221\) | 6.82591 | + | 6.82591i | 0.459161 | + | 0.459161i | ||||
\(222\) | −7.99547 | − | 5.38836i | −0.536621 | − | 0.361643i | ||||
\(223\) | 21.2173 | 1.42081 | 0.710406 | − | 0.703792i | \(-0.248511\pi\) | ||||
0.710406 | + | 0.703792i | \(0.248511\pi\) | |||||||
\(224\) | 2.71687 | + | 15.2300i | 0.181529 | + | 1.01760i | ||||
\(225\) | 0.755274 | 0.0503516 | ||||||||
\(226\) | 20.4229 | + | 13.7635i | 1.35851 | + | 0.915536i | ||||
\(227\) | 12.0356 | + | 12.0356i | 0.798832 | + | 0.798832i | 0.982911 | − | 0.184079i | \(-0.0589303\pi\) |
−0.184079 | + | 0.982911i | \(0.558930\pi\) | |||||||
\(228\) | 1.48709 | − | 0.602207i | 0.0984849 | − | 0.0398821i | ||||
\(229\) | 6.70809 | − | 6.70809i | 0.443283 | − | 0.443283i | −0.449831 | − | 0.893114i | \(-0.648516\pi\) |
0.893114 | + | 0.449831i | \(0.148516\pi\) | |||||||
\(230\) | 0.445669 | + | 2.28788i | 0.0293865 | + | 0.150858i | ||||
\(231\) | 30.8920i | 2.03254i | ||||||||
\(232\) | −19.0152 | + | 12.3810i | −1.24841 | + | 0.812856i | ||||
\(233\) | 5.40431i | 0.354048i | 0.984207 | + | 0.177024i | \(0.0566470\pi\) | ||||
−0.984207 | + | 0.177024i | \(0.943353\pi\) | |||||||
\(234\) | −2.04490 | + | 0.398337i | −0.133679 | + | 0.0260401i | ||||
\(235\) | 3.67560 | − | 3.67560i | 0.239770 | − | 0.239770i | ||||
\(236\) | −16.6983 | − | 7.07226i | −1.08697 | − | 0.460365i | ||||
\(237\) | −7.61989 | − | 7.61989i | −0.494965 | − | 0.494965i | ||||
\(238\) | −10.6975 | + | 15.8734i | −0.693418 | + | 1.02892i | ||||
\(239\) | −1.86569 | −0.120681 | −0.0603406 | − | 0.998178i | \(-0.519219\pi\) | ||||
−0.0603406 | + | 0.998178i | \(0.519219\pi\) | |||||||
\(240\) | 5.56728 | − | 5.39349i | 0.359366 | − | 0.348149i | ||||
\(241\) | 16.3740 | 1.05474 | 0.527369 | − | 0.849636i | \(-0.323178\pi\) | ||||
0.527369 | + | 0.849636i | \(0.323178\pi\) | |||||||
\(242\) | −18.1604 | + | 26.9471i | −1.16739 | + | 1.73222i | ||||
\(243\) | 5.42792 | + | 5.42792i | 0.348201 | + | 0.348201i | ||||
\(244\) | 4.22055 | − | 9.96514i | 0.270193 | − | 0.637953i | ||||
\(245\) | 0.338863 | − | 0.338863i | 0.0216492 | − | 0.0216492i | ||||
\(246\) | 22.6185 | − | 4.40597i | 1.44210 | − | 0.280915i | ||||
\(247\) | 0.807421i | 0.0513750i | ||||||||
\(248\) | 2.31296 | − | 10.9462i | 0.146873 | − | 0.695082i | ||||
\(249\) | − | 1.41464i | − | 0.0896493i | ||||||
\(250\) | −0.270400 | − | 1.38812i | −0.0171016 | − | 0.0877926i | ||||
\(251\) | 3.01154 | − | 3.01154i | 0.190087 | − | 0.190087i | −0.605647 | − | 0.795734i | \(-0.707086\pi\) |
0.795734 | + | 0.605647i | \(0.207086\pi\) | |||||||
\(252\) | −1.55059 | − | 3.82903i | −0.0976780 | − | 0.241206i | ||||
\(253\) | 6.79340 | + | 6.79340i | 0.427098 | + | 0.427098i | ||||
\(254\) | −12.8760 | − | 8.67747i | −0.807911 | − | 0.544473i | ||||
\(255\) | 9.59085 | 0.600602 | ||||||||
\(256\) | 0.507240 | − | 15.9920i | 0.0317025 | − | 0.999497i | ||||
\(257\) | 22.7407 | 1.41853 | 0.709263 | − | 0.704944i | \(-0.249028\pi\) | ||||
0.709263 | + | 0.704944i | \(0.249028\pi\) | |||||||
\(258\) | 10.3719 | + | 6.98991i | 0.645727 | + | 0.435173i | ||||
\(259\) | 6.80346 | + | 6.80346i | 0.422747 | + | 0.422747i | ||||
\(260\) | 1.46421 | + | 3.61572i | 0.0908065 | + | 0.224237i | ||||
\(261\) | 4.28442 | − | 4.28442i | 0.265199 | − | 0.265199i | ||||
\(262\) | −2.20663 | − | 11.3280i | −0.136326 | − | 0.699844i | ||||
\(263\) | − | 12.0300i | − | 0.741805i | −0.928672 | − | 0.370902i | \(-0.879048\pi\) | ||
0.928672 | − | 0.370902i | \(-0.120952\pi\) | |||||||
\(264\) | 6.60516 | − | 31.2592i | 0.406519 | − | 1.92387i | ||||
\(265\) | 10.1899i | 0.625962i | ||||||||
\(266\) | −1.57151 | + | 0.306122i | −0.0963554 | + | 0.0187696i | ||||
\(267\) | −8.80035 | + | 8.80035i | −0.538573 | + | 0.538573i | ||||
\(268\) | −6.35419 | + | 15.0029i | −0.388144 | + | 0.916446i | ||||
\(269\) | 4.90068 | + | 4.90068i | 0.298800 | + | 0.298800i | 0.840544 | − | 0.541744i | \(-0.182236\pi\) |
−0.541744 | + | 0.840544i | \(0.682236\pi\) | |||||||
\(270\) | 3.43798 | − | 5.10141i | 0.209229 | − | 0.310462i | ||||
\(271\) | −4.14616 | −0.251862 | −0.125931 | − | 0.992039i | \(-0.540192\pi\) | ||||
−0.125931 | + | 0.992039i | \(0.540192\pi\) | |||||||
\(272\) | 14.2187 | − | 13.7748i | 0.862133 | − | 0.835221i | ||||
\(273\) | 10.3369 | 0.625615 | ||||||||
\(274\) | 5.68128 | − | 8.43011i | 0.343219 | − | 0.509282i | ||||
\(275\) | −4.12175 | − | 4.12175i | −0.248551 | − | 0.248551i | ||||
\(276\) | −5.88207 | − | 2.49124i | −0.354059 | − | 0.149955i | ||||
\(277\) | −10.4815 | + | 10.4815i | −0.629775 | + | 0.629775i | −0.948011 | − | 0.318236i | \(-0.896909\pi\) |
0.318236 | + | 0.948011i | \(0.396909\pi\) | |||||||
\(278\) | −9.64525 | + | 1.87885i | −0.578483 | + | 0.112686i | ||||
\(279\) | 2.98749i | 0.178856i | ||||||||
\(280\) | −6.48225 | + | 4.22069i | −0.387389 | + | 0.252234i | ||||
\(281\) | 3.51927i | 0.209942i | 0.994475 | + | 0.104971i | \(0.0334750\pi\) | ||||
−0.994475 | + | 0.104971i | \(0.966525\pi\) | |||||||
\(282\) | 2.72377 | + | 13.9827i | 0.162198 | + | 0.832660i | ||||
\(283\) | −2.88462 | + | 2.88462i | −0.171473 | + | 0.171473i | −0.787626 | − | 0.616153i | \(-0.788690\pi\) |
0.616153 | + | 0.787626i | \(0.288690\pi\) | |||||||
\(284\) | −14.6864 | + | 5.94735i | −0.871477 | + | 0.352910i | ||||
\(285\) | 0.567240 | + | 0.567240i | 0.0336004 | + | 0.0336004i | ||||
\(286\) | 13.3334 | + | 8.98577i | 0.788423 | + | 0.531340i | ||||
\(287\) | −22.9955 | −1.35738 | ||||||||
\(288\) | 0.750318 | + | 4.20608i | 0.0442129 | + | 0.247845i | ||||
\(289\) | 7.49472 | 0.440866 | ||||||||
\(290\) | −9.40825 | − | 6.34047i | −0.552471 | − | 0.372325i | ||||
\(291\) | −12.9427 | − | 12.9427i | −0.758712 | − | 0.758712i | ||||
\(292\) | 8.08754 | − | 3.27511i | 0.473288 | − | 0.191661i | ||||
\(293\) | 3.92351 | − | 3.92351i | 0.229214 | − | 0.229214i | −0.583150 | − | 0.812364i | \(-0.698180\pi\) |
0.812364 | + | 0.583150i | \(0.198180\pi\) | |||||||
\(294\) | 0.251111 | + | 1.28910i | 0.0146451 | + | 0.0751820i | ||||
\(295\) | − | 9.06711i | − | 0.527908i | ||||||
\(296\) | −5.42965 | − | 8.33901i | −0.315592 | − | 0.484695i | ||||
\(297\) | − | 25.3560i | − | 1.47130i | ||||||
\(298\) | −19.1720 | + | 3.73462i | −1.11061 | + | 0.216341i | ||||
\(299\) | 2.27316 | − | 2.27316i | 0.131460 | − | 0.131460i | ||||
\(300\) | 3.56882 | + | 1.51151i | 0.206046 | + | 0.0872668i | ||||
\(301\) | −8.82561 | − | 8.82561i | −0.508700 | − | 0.508700i | ||||
\(302\) | −1.50763 | + | 2.23708i | −0.0867542 | + | 0.128729i | ||||
\(303\) | −30.2944 | −1.74037 | ||||||||
\(304\) | 1.65564 | + | 0.0262506i | 0.0949575 | + | 0.00150557i | ||||
\(305\) | 5.41103 | 0.309835 | ||||||||
\(306\) | −2.95434 | + | 4.38377i | −0.168888 | + | 0.250603i | ||||
\(307\) | −0.196482 | − | 0.196482i | −0.0112138 | − | 0.0112138i | 0.701478 | − | 0.712691i | \(-0.252524\pi\) |
−0.712691 | + | 0.701478i | \(0.752524\pi\) | |||||||
\(308\) | −12.4341 | + | 29.3581i | −0.708498 | + | 1.67283i | ||||
\(309\) | −7.49296 | + | 7.49296i | −0.426259 | + | 0.426259i | ||||
\(310\) | 5.49072 | − | 1.06957i | 0.311852 | − | 0.0607473i | ||||
\(311\) | − | 2.52927i | − | 0.143422i | −0.997425 | − | 0.0717110i | \(-0.977154\pi\) | ||
0.997425 | − | 0.0717110i | \(-0.0228459\pi\) | |||||||
\(312\) | −10.4597 | − | 2.21017i | −0.592165 | − | 0.125126i | ||||
\(313\) | 3.84874i | 0.217543i | 0.994067 | + | 0.108772i | \(0.0346917\pi\) | ||||
−0.994067 | + | 0.108772i | \(0.965308\pi\) | |||||||
\(314\) | 1.68753 | + | 8.66308i | 0.0952327 | + | 0.488886i | ||||
\(315\) | 1.46056 | − | 1.46056i | 0.0822930 | − | 0.0822930i | ||||
\(316\) | −4.17453 | − | 10.3086i | −0.234835 | − | 0.579902i | ||||
\(317\) | −6.78901 | − | 6.78901i | −0.381309 | − | 0.381309i | 0.490265 | − | 0.871574i | \(-0.336900\pi\) |
−0.871574 | + | 0.490265i | \(0.836900\pi\) | |||||||
\(318\) | −23.1579 | − | 15.6067i | −1.29863 | − | 0.875180i | ||||
\(319\) | −46.7627 | −2.61821 | ||||||||
\(320\) | 7.46174 | − | 2.88485i | 0.417124 | − | 0.161268i | ||||
\(321\) | 0.804906 | 0.0449255 | ||||||||
\(322\) | 5.28616 | + | 3.56249i | 0.294586 | + | 0.198530i | ||||
\(323\) | 1.44871 | + | 1.44871i | 0.0806085 | + | 0.0806085i | ||||
\(324\) | 8.02898 | + | 19.8268i | 0.446054 | + | 1.10149i | ||||
\(325\) | −1.37919 | + | 1.37919i | −0.0765038 | + | 0.0765038i | ||||
\(326\) | 1.37249 | + | 7.04581i | 0.0760152 | + | 0.390231i | ||||
\(327\) | 28.5385i | 1.57818i | ||||||||
\(328\) | 23.2688 | + | 4.91678i | 1.28481 | + | 0.271484i | ||||
\(329\) | − | 14.2158i | − | 0.783743i | ||||||
\(330\) | 15.6800 | − | 3.05438i | 0.863154 | − | 0.168138i | ||||
\(331\) | 1.79195 | − | 1.79195i | 0.0984944 | − | 0.0984944i | −0.656143 | − | 0.754637i | \(-0.727813\pi\) |
0.754637 | + | 0.656143i | \(0.227813\pi\) | |||||||
\(332\) | 0.569396 | − | 1.34440i | 0.0312497 | − | 0.0737836i | ||||
\(333\) | 1.87891 | + | 1.87891i | 0.102964 | + | 0.102964i | ||||
\(334\) | −13.9096 | + | 20.6396i | −0.761100 | + | 1.12935i | ||||
\(335\) | −8.14650 | −0.445091 | ||||||||
\(336\) | 0.336068 | − | 21.1960i | 0.0183340 | − | 1.15634i | ||||
\(337\) | 16.1071 | 0.877411 | 0.438706 | − | 0.898631i | \(-0.355437\pi\) | ||||
0.438706 | + | 0.898631i | \(0.355437\pi\) | |||||||
\(338\) | −7.26779 | + | 10.7842i | −0.395315 | + | 0.586585i | ||||
\(339\) | −23.8625 | − | 23.8625i | −1.29603 | − | 1.29603i | ||||
\(340\) | 9.11464 | + | 3.86034i | 0.494311 | + | 0.209356i | ||||
\(341\) | 16.3036 | − | 16.3036i | 0.882889 | − | 0.882889i | ||||
\(342\) | −0.434003 | + | 0.0845418i | −0.0234682 | + | 0.00457150i | ||||
\(343\) | 17.8331i | 0.962898i | ||||||||
\(344\) | 7.04347 | + | 10.8176i | 0.379758 | + | 0.583243i | ||||
\(345\) | − | 3.19394i | − | 0.171956i | ||||||
\(346\) | 2.80063 | + | 14.3773i | 0.150563 | + | 0.772929i | ||||
\(347\) | 12.6577 | − | 12.6577i | 0.679502 | − | 0.679502i | −0.280385 | − | 0.959888i | \(-0.590462\pi\) |
0.959888 | + | 0.280385i | \(0.0904622\pi\) | |||||||
\(348\) | 28.8190 | − | 11.6704i | 1.54486 | − | 0.625601i | ||||
\(349\) | −16.3020 | − | 16.3020i | −0.872627 | − | 0.872627i | 0.120131 | − | 0.992758i | \(-0.461669\pi\) |
−0.992758 | + | 0.120131i | \(0.961669\pi\) | |||||||
\(350\) | −3.20726 | − | 2.16146i | −0.171435 | − | 0.115535i | ||||
\(351\) | −8.48445 | −0.452866 | ||||||||
\(352\) | 18.8591 | − | 27.0485i | 1.00519 | − | 1.44169i | ||||
\(353\) | −13.2637 | −0.705954 | −0.352977 | − | 0.935632i | \(-0.614831\pi\) | ||||
−0.352977 | + | 0.935632i | \(0.614831\pi\) | |||||||
\(354\) | 20.6061 | + | 13.8870i | 1.09520 | + | 0.738087i | ||||
\(355\) | −5.60202 | − | 5.60202i | −0.297324 | − | 0.297324i | ||||
\(356\) | −11.9056 | + | 4.82124i | −0.630993 | + | 0.255525i | ||||
\(357\) | 18.5469 | − | 18.5469i | 0.981604 | − | 0.981604i | ||||
\(358\) | −2.45827 | − | 12.6198i | −0.129924 | − | 0.666976i | ||||
\(359\) | 13.3561i | 0.704906i | 0.935830 | + | 0.352453i | \(0.114652\pi\) | ||||
−0.935830 | + | 0.352453i | \(0.885348\pi\) | |||||||
\(360\) | −1.79020 | + | 1.16563i | −0.0943520 | + | 0.0614339i | ||||
\(361\) | − | 18.8286i | − | 0.990981i | ||||||
\(362\) | 7.22194 | − | 1.40680i | 0.379577 | − | 0.0739398i | ||||
\(363\) | 31.4855 | − | 31.4855i | 1.65256 | − | 1.65256i | ||||
\(364\) | 9.82361 | + | 4.16061i | 0.514897 | + | 0.218075i | ||||
\(365\) | 3.08494 | + | 3.08494i | 0.161473 | + | 0.161473i | ||||
\(366\) | −8.28743 | + | 12.2972i | −0.433191 | + | 0.642786i | ||||
\(367\) | 11.8938 | 0.620852 | 0.310426 | − | 0.950598i | \(-0.399528\pi\) | ||||
0.310426 | + | 0.950598i | \(0.399528\pi\) | |||||||
\(368\) | −4.58728 | − | 4.73509i | −0.239129 | − | 0.246834i | ||||
\(369\) | −6.35067 | −0.330603 | ||||||||
\(370\) | 2.78058 | − | 4.12594i | 0.144556 | − | 0.214498i | ||||
\(371\) | 19.7054 | + | 19.7054i | 1.02305 | + | 1.02305i | ||||
\(372\) | −5.97877 | + | 14.1165i | −0.309985 | + | 0.731905i | ||||
\(373\) | −19.0494 | + | 19.0494i | −0.986342 | + | 0.986342i | −0.999908 | − | 0.0135655i | \(-0.995682\pi\) |
0.0135655 | + | 0.999908i | \(0.495682\pi\) | |||||||
\(374\) | 40.0461 | − | 7.80080i | 2.07074 | − | 0.403370i | ||||
\(375\) | 1.93785i | 0.100070i | ||||||||
\(376\) | −3.03955 | + | 14.3848i | −0.156753 | + | 0.741839i | ||||
\(377\) | 15.6474i | 0.805882i | ||||||||
\(378\) | −3.21676 | − | 16.5135i | −0.165452 | − | 0.849365i | ||||
\(379\) | −4.64554 | + | 4.64554i | −0.238625 | + | 0.238625i | −0.816281 | − | 0.577655i | \(-0.803968\pi\) |
0.577655 | + | 0.816281i | \(0.303968\pi\) | |||||||
\(380\) | 0.310760 | + | 0.767390i | 0.0159416 | + | 0.0393663i | ||||
\(381\) | 15.0446 | + | 15.0446i | 0.770757 | + | 0.770757i | ||||
\(382\) | 6.32222 | + | 4.26072i | 0.323473 | + | 0.217997i | ||||
\(383\) | 38.5131 | 1.96793 | 0.983964 | − | 0.178366i | \(-0.0570811\pi\) | ||||
0.983964 | + | 0.178366i | \(0.0570811\pi\) | |||||||
\(384\) | −4.87208 | + | 21.3761i | −0.248628 | + | 1.09084i | ||||
\(385\) | −15.9413 | −0.812446 | ||||||||
\(386\) | 4.14941 | + | 2.79640i | 0.211200 | + | 0.142333i | ||||
\(387\) | −2.43737 | − | 2.43737i | −0.123898 | − | 0.123898i | ||||
\(388\) | −7.09058 | − | 17.5095i | −0.359970 | − | 0.888909i | ||||
\(389\) | −0.903192 | + | 0.903192i | −0.0457937 | + | 0.0457937i | −0.729633 | − | 0.683839i | \(-0.760309\pi\) |
0.683839 | + | 0.729633i | \(0.260309\pi\) | |||||||
\(390\) | −1.02204 | − | 5.24672i | −0.0517529 | − | 0.265678i | ||||
\(391\) | − | 8.15722i | − | 0.412528i | ||||||
\(392\) | −0.280224 | + | 1.32617i | −0.0141534 | + | 0.0669817i | ||||
\(393\) | 15.8141i | 0.797716i | ||||||||
\(394\) | −20.9855 | + | 4.08787i | −1.05723 | + | 0.205944i | ||||
\(395\) | 3.93213 | − | 3.93213i | 0.197847 | − | 0.197847i | ||||
\(396\) | −3.43392 | + | 8.10783i | −0.172561 | + | 0.407434i | ||||
\(397\) | 4.44748 | + | 4.44748i | 0.223212 | + | 0.223212i | 0.809850 | − | 0.586637i | \(-0.199549\pi\) |
−0.586637 | + | 0.809850i | \(0.699549\pi\) | |||||||
\(398\) | 12.3724 | − | 18.3587i | 0.620172 | − | 0.920237i | ||||
\(399\) | 2.19386 | 0.109831 | ||||||||
\(400\) | 2.78323 | + | 2.87291i | 0.139162 | + | 0.143646i | ||||
\(401\) | 27.3379 | 1.36519 | 0.682596 | − | 0.730796i | \(-0.260851\pi\) | ||||
0.682596 | + | 0.730796i | \(0.260851\pi\) | |||||||
\(402\) | 12.4770 | − | 18.5139i | 0.622297 | − | 0.923390i | ||||
\(403\) | −5.45540 | − | 5.45540i | −0.271753 | − | 0.271753i | ||||
\(404\) | −28.7902 | − | 12.1936i | −1.43237 | − | 0.606652i | ||||
\(405\) | −7.56278 | + | 7.56278i | −0.375797 | + | 0.375797i | ||||
\(406\) | −30.4550 | + | 5.93249i | −1.51146 | + | 0.294425i | ||||
\(407\) | − | 20.5075i | − | 1.01652i | ||||||
\(408\) | −22.7329 | + | 14.8017i | −1.12545 | + | 0.732794i | ||||
\(409\) | 38.6889i | 1.91304i | 0.291661 | + | 0.956522i | \(0.405792\pi\) | ||||
−0.291661 | + | 0.956522i | \(0.594208\pi\) | |||||||
\(410\) | 2.27364 | + | 11.6719i | 0.112287 | + | 0.576435i | ||||
\(411\) | −9.84993 | + | 9.84993i | −0.485861 | + | 0.485861i | ||||
\(412\) | −10.1368 | + | 4.10498i | −0.499406 | + | 0.202238i | ||||
\(413\) | −17.5341 | − | 17.5341i | −0.862794 | − | 0.862794i | ||||
\(414\) | 1.45988 | + | 0.983852i | 0.0717492 | + | 0.0483537i | ||||
\(415\) | 0.730005 | 0.0358345 | ||||||||
\(416\) | −9.05077 | − | 6.31049i | −0.443751 | − | 0.309397i | ||||
\(417\) | 13.4650 | 0.659384 | ||||||||
\(418\) | 2.82985 | + | 1.90711i | 0.138413 | + | 0.0932799i | ||||
\(419\) | 7.41439 | + | 7.41439i | 0.362217 | + | 0.362217i | 0.864628 | − | 0.502412i | \(-0.167554\pi\) |
−0.502412 | + | 0.864628i | \(0.667554\pi\) | |||||||
\(420\) | 9.82437 | − | 3.97844i | 0.479380 | − | 0.194128i | ||||
\(421\) | −10.3279 | + | 10.3279i | −0.503351 | + | 0.503351i | −0.912478 | − | 0.409127i | \(-0.865833\pi\) |
0.409127 | + | 0.912478i | \(0.365833\pi\) | |||||||
\(422\) | 7.62354 | + | 39.1362i | 0.371108 | + | 1.90512i | ||||
\(423\) | − | 3.92598i | − | 0.190888i | ||||||
\(424\) | −15.7263 | − | 24.1529i | −0.763736 | − | 1.17297i | ||||
\(425\) | 4.94921i | 0.240072i | ||||||||
\(426\) | 21.3112 | − | 4.15132i | 1.03253 | − | 0.201132i | ||||
\(427\) | 10.4639 | − | 10.4639i | 0.506383 | − | 0.506383i | ||||
\(428\) | 0.764940 | + | 0.323976i | 0.0369748 | + | 0.0156600i | ||||
\(429\) | −15.5791 | − | 15.5791i | −0.752165 | − | 0.752165i | ||||
\(430\) | −3.60704 | + | 5.35227i | −0.173947 | + | 0.258109i | ||||
\(431\) | −14.8644 | −0.715991 | −0.357995 | − | 0.933723i | \(-0.616540\pi\) | ||||
−0.357995 | + | 0.933723i | \(0.616540\pi\) | |||||||
\(432\) | −0.275843 | + | 17.3976i | −0.0132715 | + | 0.837043i | ||||
\(433\) | −4.96284 | −0.238499 | −0.119249 | − | 0.992864i | \(-0.538049\pi\) | ||||
−0.119249 | + | 0.992864i | \(0.538049\pi\) | |||||||
\(434\) | 8.54967 | − | 12.6863i | 0.410397 | − | 0.608964i | ||||
\(435\) | 10.9928 | + | 10.9928i | 0.527064 | + | 0.527064i | ||||
\(436\) | −11.4868 | + | 27.1215i | −0.550118 | + | 1.29888i | ||||
\(437\) | 0.482449 | − | 0.482449i | 0.0230787 | − | 0.0230787i | ||||
\(438\) | −11.7357 | + | 2.28606i | −0.560755 | + | 0.109232i | ||||
\(439\) | − | 13.7348i | − | 0.655527i | −0.944760 | − | 0.327763i | \(-0.893705\pi\) | ||
0.944760 | − | 0.327763i | \(-0.106295\pi\) | |||||||
\(440\) | 16.1308 | + | 3.40849i | 0.769007 | + | 0.162494i | ||||
\(441\) | − | 0.361946i | − | 0.0172355i | ||||||
\(442\) | −2.61025 | − | 13.4000i | −0.124157 | − | 0.637371i | ||||
\(443\) | −7.62584 | + | 7.62584i | −0.362315 | + | 0.362315i | −0.864664 | − | 0.502350i | \(-0.832469\pi\) |
0.502350 | + | 0.864664i | \(0.332469\pi\) | |||||||
\(444\) | 5.11802 | + | 12.6384i | 0.242890 | + | 0.599793i | ||||
\(445\) | −4.54129 | − | 4.54129i | −0.215278 | − | 0.215278i | ||||
\(446\) | −24.8826 | − | 16.7690i | −1.17822 | − | 0.794037i | ||||
\(447\) | 26.7646 | 1.26592 | ||||||||
\(448\) | 8.85083 | − | 20.0083i | 0.418162 | − | 0.945305i | ||||
\(449\) | −15.8544 | −0.748215 | −0.374108 | − | 0.927385i | \(-0.622051\pi\) | ||||
−0.374108 | + | 0.927385i | \(0.622051\pi\) | |||||||
\(450\) | −0.885750 | − | 0.596931i | −0.0417546 | − | 0.0281396i | ||||
\(451\) | 34.6574 | + | 34.6574i | 1.63195 | + | 1.63195i | ||||
\(452\) | −13.0730 | − | 32.2824i | −0.614901 | − | 1.51844i | ||||
\(453\) | 2.61385 | − | 2.61385i | 0.122809 | − | 0.122809i | ||||
\(454\) | −4.60246 | − | 23.6271i | −0.216004 | − | 1.10888i | ||||
\(455\) | 5.33418i | 0.250070i | ||||||||
\(456\) | −2.21994 | − | 0.469080i | −0.103958 | − | 0.0219667i | ||||
\(457\) | − | 14.1978i | − | 0.664144i | −0.943254 | − | 0.332072i | \(-0.892252\pi\) | ||
0.943254 | − | 0.332072i | \(-0.107748\pi\) | |||||||
\(458\) | −13.1687 | + | 2.56519i | −0.615331 | + | 0.119864i | ||||
\(459\) | −15.2232 | + | 15.2232i | −0.710557 | + | 0.710557i | ||||
\(460\) | 1.28557 | − | 3.03535i | 0.0599399 | − | 0.141524i | ||||
\(461\) | −22.8952 | − | 22.8952i | −1.06634 | − | 1.06634i | −0.997638 | − | 0.0686980i | \(-0.978116\pi\) |
−0.0686980 | − | 0.997638i | \(-0.521884\pi\) | |||||||
\(462\) | 24.4155 | − | 36.2286i | 1.13591 | − | 1.68551i | ||||
\(463\) | 25.0175 | 1.16266 | 0.581330 | − | 0.813668i | \(-0.302533\pi\) | ||||
0.581330 | + | 0.813668i | \(0.302533\pi\) | |||||||
\(464\) | 32.0854 | + | 0.508722i | 1.48953 | + | 0.0236168i | ||||
\(465\) | −7.66519 | −0.355465 | ||||||||
\(466\) | 4.27129 | − | 6.33792i | 0.197864 | − | 0.293598i | ||||
\(467\) | −23.5446 | − | 23.5446i | −1.08951 | − | 1.08951i | −0.995578 | − | 0.0939334i | \(-0.970056\pi\) |
−0.0939334 | − | 0.995578i | \(-0.529944\pi\) | |||||||
\(468\) | 2.71299 | + | 1.14903i | 0.125408 | + | 0.0531142i | ||||
\(469\) | −15.7538 | + | 15.7538i | −0.727441 | + | 0.727441i | ||||
\(470\) | −7.21558 | + | 1.40556i | −0.332830 | + | 0.0648337i | ||||
\(471\) | − | 12.0939i | − | 0.557256i | ||||||
\(472\) | 13.9934 | + | 21.4915i | 0.644100 | + | 0.989226i | ||||
\(473\) | 26.6028i | 1.22320i | ||||||||
\(474\) | 2.91387 | + | 14.9586i | 0.133838 | + | 0.687072i | ||||
\(475\) | −0.292715 | + | 0.292715i | −0.0134307 | + | 0.0134307i | ||||
\(476\) | 25.0911 | − | 10.1608i | 1.15005 | − | 0.465720i | ||||
\(477\) | 5.44203 | + | 5.44203i | 0.249173 | + | 0.249173i | ||||
\(478\) | 2.18799 | + | 1.47454i | 0.100076 | + | 0.0674441i | ||||
\(479\) | 39.3416 | 1.79756 | 0.898781 | − | 0.438398i | \(-0.144454\pi\) | ||||
0.898781 | + | 0.438398i | \(0.144454\pi\) | |||||||
\(480\) | −10.7918 | + | 1.92514i | −0.492575 | + | 0.0878701i | ||||
\(481\) | −6.86209 | −0.312884 | ||||||||
\(482\) | −19.2026 | − | 12.9411i | −0.874654 | − | 0.589453i | ||||
\(483\) | −6.17647 | − | 6.17647i | −0.281039 | − | 0.281039i | ||||
\(484\) | 42.5952 | − | 17.2492i | 1.93615 | − | 0.784055i | ||||
\(485\) | 6.67886 | − | 6.67886i | 0.303272 | − | 0.303272i | ||||
\(486\) | −2.07565 | − | 10.6556i | −0.0941535 | − | 0.483346i | ||||
\(487\) | 25.6970i | 1.16444i | 0.813030 | + | 0.582222i | \(0.197816\pi\) | ||||
−0.813030 | + | 0.582222i | \(0.802184\pi\) | |||||||
\(488\) | −12.8256 | + | 8.35093i | −0.580588 | + | 0.378029i | ||||
\(489\) | − | 9.83612i | − | 0.444805i | ||||||
\(490\) | −0.665222 | + | 0.129582i | −0.0300517 | + | 0.00585393i | ||||
\(491\) | −29.0344 | + | 29.0344i | −1.31030 | + | 1.31030i | −0.389113 | + | 0.921190i | \(0.627219\pi\) |
−0.921190 | + | 0.389113i | \(0.872781\pi\) | |||||||
\(492\) | −30.0081 | − | 12.7094i | −1.35287 | − | 0.572983i | ||||
\(493\) | 28.0753 | + | 28.0753i | 1.26445 | + | 1.26445i | ||||
\(494\) | 0.638145 | − | 0.946905i | 0.0287115 | − | 0.0426033i | ||||
\(495\) | −4.40252 | −0.197879 | ||||||||
\(496\) | −11.3638 | + | 11.0091i | −0.510250 | + | 0.494323i | ||||
\(497\) | −21.6665 | −0.971873 | ||||||||
\(498\) | −1.11806 | + | 1.65902i | −0.0501015 | + | 0.0743427i | ||||
\(499\) | −7.89904 | − | 7.89904i | −0.353610 | − | 0.353610i | 0.507841 | − | 0.861451i | \(-0.330444\pi\) |
−0.861451 | + | 0.507841i | \(0.830444\pi\) | |||||||
\(500\) | −0.779990 | + | 1.84163i | −0.0348822 | + | 0.0823604i | ||||
\(501\) | 24.1158 | − | 24.1158i | 1.07741 | − | 1.07741i | ||||
\(502\) | −5.91197 | + | 1.15162i | −0.263864 | + | 0.0513995i | ||||
\(503\) | 9.53668i | 0.425220i | 0.977137 | + | 0.212610i | \(0.0681963\pi\) | ||||
−0.977137 | + | 0.212610i | \(0.931804\pi\) | |||||||
\(504\) | −1.20781 | + | 5.71601i | −0.0538002 | + | 0.254611i | ||||
\(505\) | − | 15.6330i | − | 0.695658i | ||||||
\(506\) | −2.59782 | − | 13.3361i | −0.115487 | − | 0.592864i | ||||
\(507\) | 12.6005 | − | 12.6005i | 0.559609 | − | 0.559609i | ||||
\(508\) | 8.24211 | + | 20.3531i | 0.365684 | + | 0.903021i | ||||
\(509\) | −4.24956 | − | 4.24956i | −0.188358 | − | 0.188358i | 0.606628 | − | 0.794986i | \(-0.292522\pi\) |
−0.794986 | + | 0.606628i | \(0.792522\pi\) | |||||||
\(510\) | −11.2477 | − | 7.58012i | −0.498056 | − | 0.335653i | ||||
\(511\) | 11.9313 | 0.527812 | ||||||||
\(512\) | −13.2341 | + | 18.3537i | −0.584870 | + | 0.811127i | ||||
\(513\) | −1.80071 | −0.0795035 | ||||||||
\(514\) | −26.6692 | − | 17.9731i | −1.17633 | − | 0.792759i | ||||
\(515\) | −3.86663 | − | 3.86663i | −0.170384 | − | 0.170384i | ||||
\(516\) | −6.63921 | − | 16.3949i | −0.292275 | − | 0.721743i | ||||
\(517\) | −21.4252 | + | 21.4252i | −0.942280 | + | 0.942280i | ||||
\(518\) | −2.60166 | − | 13.3559i | −0.114311 | − | 0.586824i | ||||
\(519\) | − | 20.0711i | − | 0.881022i | ||||||
\(520\) | 1.14053 | − | 5.39758i | 0.0500154 | − | 0.236700i | ||||
\(521\) | − | 9.71766i | − | 0.425739i | −0.977081 | − | 0.212869i | \(-0.931719\pi\) | ||
0.977081 | − | 0.212869i | \(-0.0682809\pi\) | |||||||
\(522\) | −8.41076 | + | 1.63838i | −0.368129 | + | 0.0717098i | ||||
\(523\) | −4.62580 | + | 4.62580i | −0.202272 | + | 0.202272i | −0.800973 | − | 0.598701i | \(-0.795684\pi\) |
0.598701 | + | 0.800973i | \(0.295684\pi\) | |||||||
\(524\) | −6.36521 | + | 15.0289i | −0.278066 | + | 0.656541i | ||||
\(525\) | 3.74744 | + | 3.74744i | 0.163551 | + | 0.163551i | ||||
\(526\) | −9.50794 | + | 14.1083i | −0.414566 | + | 0.615150i | ||||
\(527\) | −19.5766 | −0.852772 | ||||||||
\(528\) | −32.4519 | + | 31.4389i | −1.41229 | + | 1.36820i | ||||
\(529\) | 20.2835 | 0.881891 | ||||||||
\(530\) | 8.05360 | − | 11.9503i | 0.349826 | − | 0.519086i | ||||
\(531\) | −4.84238 | − | 4.84238i | −0.210141 | − | 0.210141i | ||||
\(532\) | 2.08493 | + | 0.883035i | 0.0903933 | + | 0.0382844i | ||||
\(533\) | 11.5968 | − | 11.5968i | 0.502314 | − | 0.502314i | ||||
\(534\) | 17.2760 | − | 3.36528i | 0.747605 | − | 0.145630i | ||||
\(535\) | 0.415360i | 0.0179576i | ||||||||
\(536\) | 19.3094 | − | 12.5726i | 0.834039 | − | 0.543055i | ||||
\(537\) | 17.6175i | 0.760252i | ||||||||
\(538\) | −1.87403 | − | 9.62053i | −0.0807953 | − | 0.414771i | ||||
\(539\) | −1.97524 | + | 1.97524i | −0.0850798 | + | 0.0850798i | ||||
\(540\) | −8.06379 | + | 3.26549i | −0.347010 | + | 0.140524i | ||||
\(541\) | 24.0206 | + | 24.0206i | 1.03272 | + | 1.03272i | 0.999446 | + | 0.0332788i | \(0.0105949\pi\) |
0.0332788 | + | 0.999446i | \(0.489405\pi\) | |||||||
\(542\) | 4.86242 | + | 3.27692i | 0.208859 | + | 0.140756i | ||||
\(543\) | −10.0820 | −0.432660 | ||||||||
\(544\) | −27.5619 | + | 4.91674i | −1.18171 | + | 0.210803i | ||||
\(545\) | −14.7269 | −0.630829 | ||||||||
\(546\) | −12.1226 | − | 8.16973i | −0.518798 | − | 0.349632i | ||||
\(547\) | 4.63900 | + | 4.63900i | 0.198349 | + | 0.198349i | 0.799292 | − | 0.600943i | \(-0.205208\pi\) |
−0.600943 | + | 0.799292i | \(0.705208\pi\) | |||||||
\(548\) | −13.3255 | + | 5.39624i | −0.569236 | + | 0.230516i | ||||
\(549\) | 2.88981 | − | 2.88981i | 0.123334 | − | 0.123334i | ||||
\(550\) | 1.57617 | + | 8.09141i | 0.0672081 | + | 0.345019i | ||||
\(551\) | 3.32096i | 0.141477i | ||||||||
\(552\) | 4.92926 | + | 7.57050i | 0.209803 | + | 0.322222i | ||||
\(553\) | − | 15.2080i | − | 0.646709i | ||||||
\(554\) | 20.5763 | − | 4.00818i | 0.874205 | − | 0.170291i | ||||
\(555\) | −4.82084 | + | 4.82084i | −0.204633 | + | 0.204633i | ||||
\(556\) | 12.7964 | + | 5.41969i | 0.542690 | + | 0.229846i | ||||
\(557\) | 13.6258 | + | 13.6258i | 0.577345 | + | 0.577345i | 0.934171 | − | 0.356826i | \(-0.116141\pi\) |
−0.356826 | + | 0.934171i | \(0.616141\pi\) | |||||||
\(558\) | 2.36116 | − | 3.50359i | 0.0999559 | − | 0.148319i | ||||
\(559\) | 8.90166 | 0.376500 | ||||||||
\(560\) | 10.9379 | + | 0.173423i | 0.462210 | + | 0.00732846i | ||||
\(561\) | −55.9054 | −2.36033 | ||||||||
\(562\) | 2.78145 | − | 4.12723i | 0.117328 | − | 0.174097i | ||||
\(563\) | 28.0885 | + | 28.0885i | 1.18379 | + | 1.18379i | 0.978755 | + | 0.205035i | \(0.0657308\pi\) |
0.205035 | + | 0.978755i | \(0.434269\pi\) | |||||||
\(564\) | 7.85694 | − | 18.5510i | 0.330837 | − | 0.781139i | ||||
\(565\) | 12.3139 | − | 12.3139i | 0.518050 | − | 0.518050i | ||||
\(566\) | 5.66280 | − | 1.10309i | 0.238025 | − | 0.0463662i | ||||
\(567\) | 29.2499i | 1.22838i | ||||||||
\(568\) | 21.9240 | + | 4.63261i | 0.919910 | + | 0.194380i | ||||
\(569\) | − | 42.3770i | − | 1.77654i | −0.459326 | − | 0.888268i | \(-0.651909\pi\) | ||
0.459326 | − | 0.888268i | \(-0.348091\pi\) | |||||||
\(570\) | −0.216914 | − | 1.11355i | −0.00908553 | − | 0.0466414i | ||||
\(571\) | 7.99217 | − | 7.99217i | 0.334462 | − | 0.334462i | −0.519816 | − | 0.854278i | \(-0.674000\pi\) |
0.854278 | + | 0.519816i | \(0.174000\pi\) | |||||||
\(572\) | −8.53493 | − | 21.0762i | −0.356863 | − | 0.881239i | ||||
\(573\) | −7.38702 | − | 7.38702i | −0.308597 | − | 0.308597i | ||||
\(574\) | 26.9680 | + | 18.1745i | 1.12562 | + | 0.758588i | ||||
\(575\) | 1.64818 | 0.0687341 | ||||||||
\(576\) | 2.44433 | − | 5.52570i | 0.101847 | − | 0.230238i | ||||
\(577\) | −20.4651 | −0.851972 | −0.425986 | − | 0.904730i | \(-0.640073\pi\) | ||||
−0.425986 | + | 0.904730i | \(0.640073\pi\) | |||||||
\(578\) | −8.78945 | − | 5.92345i | −0.365593 | − | 0.246383i | ||||
\(579\) | −4.84826 | − | 4.84826i | −0.201487 | − | 0.201487i | ||||
\(580\) | 6.02236 | + | 14.8716i | 0.250065 | + | 0.617510i | ||||
\(581\) | 1.41169 | − | 1.41169i | 0.0585667 | − | 0.0585667i | ||||
\(582\) | 4.94931 | + | 25.4078i | 0.205156 | + | 1.05319i | ||||
\(583\) | − | 59.3974i | − | 2.45999i | ||||||
\(584\) | −12.0732 | − | 2.55110i | −0.499591 | − | 0.105565i | ||||
\(585\) | 1.47314i | 0.0609069i | ||||||||
\(586\) | −7.70224 | + | 1.50036i | −0.318177 | + | 0.0619793i | ||||
\(587\) | 0.429976 | − | 0.429976i | 0.0177470 | − | 0.0177470i | −0.698178 | − | 0.715925i | \(-0.746005\pi\) |
0.715925 | + | 0.698178i | \(0.246005\pi\) | |||||||
\(588\) | 0.724351 | − | 1.71026i | 0.0298717 | − | 0.0705301i | ||||
\(589\) | −1.15784 | − | 1.15784i | −0.0477079 | − | 0.0477079i | ||||
\(590\) | −7.16619 | + | 10.6335i | −0.295027 | + | 0.437773i | ||||
\(591\) | 29.2962 | 1.20509 | ||||||||
\(592\) | −0.223098 | + | 14.0709i | −0.00916926 | + | 0.578311i | ||||
\(593\) | 37.9620 | 1.55891 | 0.779455 | − | 0.626458i | \(-0.215496\pi\) | ||||
0.779455 | + | 0.626458i | \(0.215496\pi\) | |||||||
\(594\) | −20.0401 | + | 29.7363i | −0.822255 | + | 1.22010i | ||||
\(595\) | 9.57083 | + | 9.57083i | 0.392366 | + | 0.392366i | ||||
\(596\) | 25.4357 | + | 10.7728i | 1.04189 | + | 0.441272i | ||||
\(597\) | −21.4507 | + | 21.4507i | −0.877917 | + | 0.877917i | ||||
\(598\) | −4.46245 | + | 0.869264i | −0.182483 | + | 0.0355468i | ||||
\(599\) | 13.7108i | 0.560207i | 0.959970 | + | 0.280104i | \(0.0903688\pi\) | ||||
−0.959970 | + | 0.280104i | \(0.909631\pi\) | |||||||
\(600\) | −2.99072 | − | 4.59323i | −0.122096 | − | 0.187518i | ||||
\(601\) | 2.84070i | 0.115875i | 0.998320 | + | 0.0579373i | \(0.0184523\pi\) | ||||
−0.998320 | + | 0.0579373i | \(0.981548\pi\) | |||||||
\(602\) | 3.37494 | + | 17.3256i | 0.137552 | + | 0.706138i | ||||
\(603\) | −4.35072 | + | 4.35072i | −0.177175 | + | 0.177175i | ||||
\(604\) | 3.53615 | − | 1.43199i | 0.143884 | − | 0.0582667i | ||||
\(605\) | 16.2476 | + | 16.2476i | 0.660561 | + | 0.660561i | ||||
\(606\) | 35.5278 | + | 23.9432i | 1.44322 | + | 0.972625i | ||||
\(607\) | −42.8562 | −1.73948 | −0.869740 | − | 0.493510i | \(-0.835713\pi\) | ||||
−0.869740 | + | 0.493510i | \(0.835713\pi\) | |||||||
\(608\) | −1.92091 | − | 1.33932i | −0.0779032 | − | 0.0543166i | ||||
\(609\) | 42.5159 | 1.72283 | ||||||||
\(610\) | −6.34580 | − | 4.27661i | −0.256934 | − | 0.173155i | ||||
\(611\) | 7.16916 | + | 7.16916i | 0.290033 | + | 0.290033i | ||||
\(612\) | 6.92941 | − | 2.80611i | 0.280105 | − | 0.113430i | ||||
\(613\) | 5.48393 | − | 5.48393i | 0.221494 | − | 0.221494i | −0.587633 | − | 0.809127i | \(-0.699940\pi\) |
0.809127 | + | 0.587633i | \(0.199940\pi\) | |||||||
\(614\) | 0.0751353 | + | 0.385714i | 0.00303221 | + | 0.0155661i | ||||
\(615\) | − | 16.2943i | − | 0.657049i | ||||||
\(616\) | 37.7853 | − | 24.6025i | 1.52241 | − | 0.991264i | ||||
\(617\) | − | 22.2539i | − | 0.895908i | −0.894057 | − | 0.447954i | \(-0.852153\pi\) | ||
0.894057 | − | 0.447954i | \(-0.147847\pi\) | |||||||
\(618\) | 14.7094 | − | 2.86533i | 0.591700 | − | 0.115260i | ||||
\(619\) | 10.0974 | − | 10.0974i | 0.405849 | − | 0.405849i | −0.474439 | − | 0.880288i | \(-0.657349\pi\) |
0.880288 | + | 0.474439i | \(0.157349\pi\) | |||||||
\(620\) | −7.28459 | − | 3.08525i | −0.292556 | − | 0.123907i | ||||
\(621\) | 5.06962 | + | 5.06962i | 0.203437 | + | 0.203437i | ||||
\(622\) | −1.99901 | + | 2.96621i | −0.0801530 | + | 0.118934i | ||||
\(623\) | −17.5640 | −0.703685 | ||||||||
\(624\) | 10.5199 | + | 10.8588i | 0.421131 | + | 0.434701i | ||||
\(625\) | −1.00000 | −0.0400000 | ||||||||
\(626\) | 3.04185 | − | 4.51361i | 0.121577 | − | 0.180400i | ||||
\(627\) | −3.30646 | − | 3.30646i | −0.132047 | − | 0.132047i | ||||
\(628\) | 4.86781 | − | 11.4934i | 0.194247 | − | 0.458636i | ||||
\(629\) | −12.3123 | + | 12.3123i | −0.490922 | + | 0.490922i | ||||
\(630\) | −2.86722 | + | 0.558521i | −0.114233 | + | 0.0222520i | ||||
\(631\) | − | 49.5996i | − | 1.97453i | −0.159086 | − | 0.987265i | \(-0.550855\pi\) | ||
0.159086 | − | 0.987265i | \(-0.449145\pi\) | |||||||
\(632\) | −3.25169 | + | 15.3887i | −0.129345 | + | 0.612131i | ||||
\(633\) | − | 54.6351i | − | 2.17155i | ||||||
\(634\) | 2.59614 | + | 13.3275i | 0.103106 | + | 0.529303i | ||||
\(635\) | −7.76353 | + | 7.76353i | −0.308086 | + | 0.308086i | ||||
\(636\) | 14.8237 | + | 36.6056i | 0.587797 | + | 1.45151i | ||||
\(637\) | 0.660942 | + | 0.660942i | 0.0261875 | + | 0.0261875i | ||||
\(638\) | 54.8410 | + | 36.9588i | 2.17118 | + | 1.46321i | ||||
\(639\) | −5.98362 | −0.236709 | ||||||||
\(640\) | −11.0308 | − | 2.51417i | −0.436031 | − | 0.0993811i | ||||
\(641\) | −42.5379 | −1.68015 | −0.840074 | − | 0.542472i | \(-0.817488\pi\) | ||||
−0.840074 | + | 0.542472i | \(0.817488\pi\) | |||||||
\(642\) | −0.943955 | − | 0.636157i | −0.0372549 | − | 0.0251071i | ||||
\(643\) | −29.3128 | − | 29.3128i | −1.15598 | − | 1.15598i | −0.985331 | − | 0.170653i | \(-0.945412\pi\) |
−0.170653 | − | 0.985331i | \(-0.554588\pi\) | |||||||
\(644\) | −3.38375 | − | 8.35583i | −0.133338 | − | 0.329266i | ||||
\(645\) | 6.25370 | − | 6.25370i | 0.246239 | − | 0.246239i | ||||
\(646\) | −0.553992 | − | 2.84397i | −0.0217965 | − | 0.111894i | ||||
\(647\) | − | 4.35345i | − | 0.171152i | −0.996332 | − | 0.0855759i | \(-0.972727\pi\) | ||
0.996332 | − | 0.0855759i | \(-0.0272730\pi\) | |||||||
\(648\) | 6.25406 | − | 29.5976i | 0.245683 | − | 1.16270i | ||||
\(649\) | 52.8525i | 2.07464i | ||||||||
\(650\) | 2.70749 | − | 0.527407i | 0.106197 | − | 0.0206866i | ||||
\(651\) | −14.8230 | + | 14.8230i | −0.580959 | + | 0.580959i | ||||
\(652\) | 3.95906 | − | 9.34774i | 0.155049 | − | 0.366086i | ||||
\(653\) | −12.3460 | − | 12.3460i | −0.483137 | − | 0.483137i | 0.422995 | − | 0.906132i | \(-0.360979\pi\) |
−0.906132 | + | 0.422995i | \(0.860979\pi\) | |||||||
\(654\) | 22.5554 | − | 33.4686i | 0.881985 | − | 1.30872i | ||||
\(655\) | −8.16063 | −0.318862 | ||||||||
\(656\) | −23.4026 | − | 24.1567i | −0.913718 | − | 0.943159i | ||||
\(657\) | 3.29508 | 0.128553 | ||||||||
\(658\) | −11.2355 | + | 16.6716i | −0.438004 | + | 0.649928i | ||||
\(659\) | 19.5367 | + | 19.5367i | 0.761040 | + | 0.761040i | 0.976510 | − | 0.215470i | \(-0.0691284\pi\) |
−0.215470 | + | 0.976510i | \(0.569128\pi\) | |||||||
\(660\) | −20.8028 | − | 8.81062i | −0.809746 | − | 0.342953i | ||||
\(661\) | 26.4901 | − | 26.4901i | 1.03035 | − | 1.03035i | 0.0308210 | − | 0.999525i | \(-0.490188\pi\) |
0.999525 | − | 0.0308210i | \(-0.00981219\pi\) | |||||||
\(662\) | −3.51778 | + | 0.685247i | −0.136722 | + | 0.0266329i | ||||
\(663\) | 18.7067i | 0.726507i | ||||||||
\(664\) | −1.73031 | + | 1.12663i | −0.0671490 | + | 0.0437217i | ||||
\(665\) | 1.13211i | 0.0439014i | ||||||||
\(666\) | −0.718502 | − | 3.68850i | −0.0278414 | − | 0.142926i | ||||
\(667\) | 9.34961 | − | 9.34961i | 0.362018 | − | 0.362018i | ||||
\(668\) | 32.6250 | − | 13.2117i | 1.26230 | − | 0.511177i | ||||
\(669\) | 29.0734 | + | 29.0734i | 1.12404 | + | 1.12404i | ||||
\(670\) | 9.55382 | + | 6.43858i | 0.369096 | + | 0.248744i | ||||
\(671\) | −31.5411 | −1.21763 | ||||||||
\(672\) | −17.1464 | + | 24.5921i | −0.661436 | + | 0.948660i | ||||
\(673\) | −11.5260 | −0.444295 | −0.222148 | − | 0.975013i | \(-0.571307\pi\) | ||||
−0.222148 | + | 0.975013i | \(0.571307\pi\) | |||||||
\(674\) | −18.8897 | − | 12.7303i | −0.727603 | − | 0.490351i | ||||
\(675\) | −3.07588 | − | 3.07588i | −0.118391 | − | 0.118391i | ||||
\(676\) | 17.0466 | − | 6.90315i | 0.655639 | − | 0.265506i | ||||
\(677\) | −15.8009 | + | 15.8009i | −0.607278 | + | 0.607278i | −0.942234 | − | 0.334956i | \(-0.891279\pi\) |
0.334956 | + | 0.942234i | \(0.391279\pi\) | |||||||
\(678\) | 9.12510 | + | 46.8446i | 0.350447 | + | 1.79905i | ||||
\(679\) | − | 25.8313i | − | 0.991314i | ||||||
\(680\) | −7.63820 | − | 11.7310i | −0.292912 | − | 0.449862i | ||||
\(681\) | 32.9841i | 1.26395i | ||||||||
\(682\) | −32.0056 | + | 6.23454i | −1.22556 | + | 0.238733i | ||||
\(683\) | −25.1439 | + | 25.1439i | −0.962105 | + | 0.962105i | −0.999308 | − | 0.0372032i | \(-0.988155\pi\) |
0.0372032 | + | 0.999308i | \(0.488155\pi\) | |||||||
\(684\) | 0.575796 | + | 0.243868i | 0.0220161 | + | 0.00932452i | ||||
\(685\) | −5.08291 | − | 5.08291i | −0.194208 | − | 0.194208i | ||||
\(686\) | 14.0944 | − | 20.9138i | 0.538127 | − | 0.798494i | ||||
\(687\) | 18.3838 | 0.701385 | ||||||||
\(688\) | 0.289407 | − | 18.2531i | 0.0110336 | − | 0.695893i | ||||
\(689\) | −19.8752 | −0.757183 | ||||||||
\(690\) | −2.52433 | + | 3.74570i | −0.0960995 | + | 0.142596i | ||||
\(691\) | −27.2647 | − | 27.2647i | −1.03720 | − | 1.03720i | −0.999281 | − | 0.0379162i | \(-0.987928\pi\) |
−0.0379162 | − | 0.999281i | \(-0.512072\pi\) | |||||||
\(692\) | 8.07865 | − | 19.0745i | 0.307104 | − | 0.725103i | ||||
\(693\) | −8.51363 | + | 8.51363i | −0.323406 | + | 0.323406i | ||||
\(694\) | −24.8484 | + | 4.84035i | −0.943232 | + | 0.183737i | ||||
\(695\) | 6.94841i | 0.263568i | ||||||||
\(696\) | −43.0213 | − | 9.09053i | −1.63072 | − | 0.344576i | ||||
\(697\) | − | 41.6151i | − | 1.57628i | ||||||
\(698\) | 6.23394 | + | 32.0025i | 0.235958 | + | 1.21131i | ||||
\(699\) | −7.40536 | + | 7.40536i | −0.280096 | + | 0.280096i | ||||
\(700\) | 2.05302 | + | 5.06972i | 0.0775967 | + | 0.191617i | ||||
\(701\) | 12.5566 | + | 12.5566i | 0.474257 | + | 0.474257i | 0.903289 | − | 0.429032i | \(-0.141145\pi\) |
−0.429032 | + | 0.903289i | \(0.641145\pi\) | |||||||
\(702\) | 9.95016 | + | 6.70568i | 0.375544 | + | 0.253090i | ||||
\(703\) | −1.45639 | −0.0549288 | ||||||||
\(704\) | −43.4948 | + | 16.8159i | −1.63927 | + | 0.633773i | ||||
\(705\) | 10.0731 | 0.379376 | ||||||||
\(706\) | 15.5550 | + | 10.4829i | 0.585420 | + | 0.394531i | ||||
\(707\) | −30.2312 | − | 30.2312i | −1.13696 | − | 1.13696i | ||||
\(708\) | −13.1903 | − | 32.5721i | −0.495721 | − | 1.22413i | ||||
\(709\) | 18.0518 | − | 18.0518i | 0.677950 | − | 0.677950i | −0.281586 | − | 0.959536i | \(-0.590860\pi\) |
0.959536 | + | 0.281586i | \(0.0908604\pi\) | |||||||
\(710\) | 2.14223 | + | 10.9973i | 0.0803964 | + | 0.412723i | ||||
\(711\) | − | 4.19999i | − | 0.157512i | ||||||
\(712\) | 17.7727 | + | 3.75543i | 0.666061 | + | 0.140741i | ||||
\(713\) | 6.51940i | 0.244154i | ||||||||
\(714\) | −36.4094 | + | 7.09237i | −1.36259 | + | 0.265425i | ||||
\(715\) | 8.03935 | − | 8.03935i | 0.300655 | − | 0.300655i | ||||
\(716\) | −7.09109 | + | 16.7428i | −0.265006 | + | 0.625707i | ||||
\(717\) | −2.55649 | − | 2.55649i | −0.0954739 | − | 0.0954739i | ||||
\(718\) | 10.5560 | − | 15.6633i | 0.393945 | − | 0.584551i | ||||
\(719\) | −1.68053 | −0.0626731 | −0.0313366 | − | 0.999509i | \(-0.509976\pi\) | ||||
−0.0313366 | + | 0.999509i | \(0.509976\pi\) | |||||||
\(720\) | 3.02072 | + | 0.0478942i | 0.112576 | + | 0.00178491i | ||||
\(721\) | −14.9546 | −0.556939 | ||||||||
\(722\) | −14.8812 | + | 22.0813i | −0.553821 | + | 0.821782i | ||||
\(723\) | 22.4367 | + | 22.4367i | 0.834431 | + | 0.834431i | ||||
\(724\) | −9.58141 | − | 4.05803i | −0.356090 | − | 0.150815i | ||||
\(725\) | −5.67267 | + | 5.67267i | −0.210678 | + | 0.210678i | ||||
\(726\) | −61.8093 | + | 12.0402i | −2.29396 | + | 0.446852i | ||||
\(727\) | 15.5235i | 0.575735i | 0.957670 | + | 0.287867i | \(0.0929462\pi\) | ||||
−0.957670 | + | 0.287867i | \(0.907054\pi\) | |||||||
\(728\) | −8.23233 | − | 12.6434i | −0.305110 | − | 0.468597i | ||||
\(729\) | − | 17.2107i | − | 0.637435i | ||||||
\(730\) | −1.17969 | − | 6.05604i | −0.0436622 | − | 0.224144i | ||||
\(731\) | 15.9718 | − | 15.9718i | 0.590737 | − | 0.590737i | ||||
\(732\) | 19.4382 | − | 7.87163i | 0.718457 | − | 0.290944i | ||||
\(733\) | −8.79758 | − | 8.79758i | −0.324946 | − | 0.324946i | 0.525715 | − | 0.850661i | \(-0.323798\pi\) |
−0.850661 | + | 0.525715i | \(0.823798\pi\) | |||||||
\(734\) | −13.9485 | − | 9.40027i | −0.514849 | − | 0.346970i | ||||
\(735\) | 0.928667 | 0.0342544 | ||||||||
\(736\) | 1.63737 | + | 9.17864i | 0.0603542 | + | 0.338329i | ||||
\(737\) | 47.4862 | 1.74918 | ||||||||
\(738\) | 7.44776 | + | 5.01925i | 0.274156 | + | 0.184761i | ||||
\(739\) | −6.44190 | − | 6.44190i | −0.236969 | − | 0.236969i | 0.578625 | − | 0.815594i | \(-0.303590\pi\) |
−0.815594 | + | 0.578625i | \(0.803590\pi\) | |||||||
\(740\) | −6.52187 | + | 2.64108i | −0.239749 | + | 0.0970879i | ||||
\(741\) | −1.10638 | + | 1.10638i | −0.0406440 | + | 0.0406440i | ||||
\(742\) | −7.53539 | − | 38.6836i | −0.276633 | − | 1.42012i | ||||
\(743\) | 34.8920i | 1.28006i | 0.768348 | + | 0.640032i | \(0.221079\pi\) | ||||
−0.768348 | + | 0.640032i | \(0.778921\pi\) | |||||||
\(744\) | 18.1686 | − | 11.8298i | 0.666092 | − | 0.433702i | ||||
\(745\) | 13.8115i | 0.506014i | ||||||||
\(746\) | 37.3960 | − | 7.28456i | 1.36916 | − | 0.266707i | ||||
\(747\) | 0.389866 | − | 0.389866i | 0.0142645 | − | 0.0142645i | ||||
\(748\) | −53.1296 | − | 22.5020i | −1.94261 | − | 0.822756i | ||||
\(749\) | 0.803225 | + | 0.803225i | 0.0293492 | + | 0.0293492i | ||||
\(750\) | 1.53158 | − | 2.27262i | 0.0559254 | − | 0.0829844i | ||||
\(751\) | 17.4058 | 0.635148 | 0.317574 | − | 0.948234i | \(-0.397132\pi\) | ||||
0.317574 | + | 0.948234i | \(0.397132\pi\) | |||||||
\(752\) | 14.9336 | − | 14.4675i | 0.544574 | − | 0.527575i | ||||
\(753\) | 8.25325 | 0.300765 | ||||||||
\(754\) | 12.3669 | − | 18.3505i | 0.450376 | − | 0.668286i | ||||
\(755\) | 1.34884 | + | 1.34884i | 0.0490893 | + | 0.0490893i | ||||
\(756\) | −9.27900 | + | 21.9087i | −0.337474 | + | 0.796810i | ||||
\(757\) | 20.6521 | − | 20.6521i | 0.750614 | − | 0.750614i | −0.223980 | − | 0.974594i | \(-0.571905\pi\) |
0.974594 | + | 0.223980i | \(0.0719050\pi\) | |||||||
\(758\) | 9.11967 | − | 1.77647i | 0.331241 | − | 0.0645242i | ||||
\(759\) | 18.6176i | 0.675776i | ||||||||
\(760\) | 0.242062 | − | 1.14557i | 0.00878051 | − | 0.0415541i | ||||
\(761\) | 8.36636i | 0.303280i | 0.988436 | + | 0.151640i | \(0.0484555\pi\) | ||||
−0.988436 | + | 0.151640i | \(0.951545\pi\) | |||||||
\(762\) | −5.75309 | − | 29.5340i | −0.208413 | − | 1.06991i | ||||
\(763\) | −28.4789 | + | 28.4789i | −1.03101 | + | 1.03101i | ||||
\(764\) | −4.04695 | − | 9.99353i | −0.146413 | − | 0.361553i | ||||
\(765\) | 2.64318 | + | 2.64318i | 0.0955642 | + | 0.0955642i | ||||
\(766\) | −45.1663 | − | 30.4388i | −1.63193 | − | 1.09980i | ||||
\(767\) | 17.6851 | 0.638574 | ||||||||
\(768\) | 22.6083 | − | 21.2182i | 0.815808 | − | 0.765647i |