Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 6 x^{19} + 21 x^{18} - 47 x^{17} + 44 x^{16} + 232 x^{15} - 1084 x^{14} + 1484 x^{13} + \cdots + 1849 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 271.1 | ||
Root | \(-0.462319 + 3.21550i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.271 |
Dual form | 690.2.m.e.331.1 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{6}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.959493 | + | 0.281733i | 0.678464 | + | 0.199215i | ||||
\(3\) | 0.654861 | − | 0.755750i | 0.378084 | − | 0.436332i | ||||
\(4\) | 0.841254 | + | 0.540641i | 0.420627 | + | 0.270320i | ||||
\(5\) | −0.142315 | + | 0.989821i | −0.0636451 | + | 0.442662i | ||||
\(6\) | 0.841254 | − | 0.540641i | 0.343440 | − | 0.220716i | ||||
\(7\) | −1.63866 | − | 3.58816i | −0.619354 | − | 1.35620i | −0.915988 | − | 0.401206i | \(-0.868591\pi\) |
0.296634 | − | 0.954991i | \(-0.404136\pi\) | |||||||
\(8\) | 0.654861 | + | 0.755750i | 0.231528 | + | 0.267198i | ||||
\(9\) | −0.142315 | − | 0.989821i | −0.0474383 | − | 0.329940i | ||||
\(10\) | −0.415415 | + | 0.909632i | −0.131366 | + | 0.287651i | ||||
\(11\) | 4.05459 | − | 1.19054i | 1.22251 | − | 0.358960i | 0.394089 | − | 0.919072i | \(-0.371060\pi\) |
0.828417 | + | 0.560112i | \(0.189242\pi\) | |||||||
\(12\) | 0.959493 | − | 0.281733i | 0.276982 | − | 0.0813292i | ||||
\(13\) | 0.877087 | − | 1.92055i | 0.243260 | − | 0.532666i | −0.748138 | − | 0.663543i | \(-0.769052\pi\) |
0.991399 | + | 0.130877i | \(0.0417793\pi\) | |||||||
\(14\) | −0.561379 | − | 3.90448i | −0.150035 | − | 1.04352i | ||||
\(15\) | 0.654861 | + | 0.755750i | 0.169084 | + | 0.195134i | ||||
\(16\) | 0.415415 | + | 0.909632i | 0.103854 | + | 0.227408i | ||||
\(17\) | 2.41720 | − | 1.55344i | 0.586257 | − | 0.376764i | −0.213631 | − | 0.976914i | \(-0.568529\pi\) |
0.799887 | + | 0.600150i | \(0.204893\pi\) | |||||||
\(18\) | 0.142315 | − | 0.989821i | 0.0335439 | − | 0.233303i | ||||
\(19\) | −2.20746 | − | 1.41865i | −0.506426 | − | 0.325460i | 0.262356 | − | 0.964971i | \(-0.415501\pi\) |
−0.768782 | + | 0.639511i | \(0.779137\pi\) | |||||||
\(20\) | −0.654861 | + | 0.755750i | −0.146431 | + | 0.168991i | ||||
\(21\) | −3.78484 | − | 1.11133i | −0.825920 | − | 0.242512i | ||||
\(22\) | 4.22577 | 0.900937 | ||||||||
\(23\) | −1.66031 | + | 4.49926i | −0.346199 | + | 0.938161i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | −0.959493 | − | 0.281733i | −0.191899 | − | 0.0563465i | ||||
\(26\) | 1.38264 | − | 1.59565i | 0.271158 | − | 0.312933i | ||||
\(27\) | −0.841254 | − | 0.540641i | −0.161899 | − | 0.104046i | ||||
\(28\) | 0.561379 | − | 3.90448i | 0.106091 | − | 0.737877i | ||||
\(29\) | 8.55007 | − | 5.49480i | 1.58771 | − | 1.02036i | 0.614941 | − | 0.788573i | \(-0.289180\pi\) |
0.972767 | − | 0.231785i | \(-0.0744565\pi\) | |||||||
\(30\) | 0.415415 | + | 0.909632i | 0.0758441 | + | 0.166075i | ||||
\(31\) | 6.42298 | + | 7.41252i | 1.15360 | + | 1.33133i | 0.934640 | + | 0.355594i | \(0.115721\pi\) |
0.218962 | + | 0.975733i | \(0.429733\pi\) | |||||||
\(32\) | 0.142315 | + | 0.989821i | 0.0251579 | + | 0.174977i | ||||
\(33\) | 1.75545 | − | 3.84389i | 0.305584 | − | 0.669136i | ||||
\(34\) | 2.75694 | − | 0.809510i | 0.472811 | − | 0.138830i | ||||
\(35\) | 3.78484 | − | 1.11133i | 0.639755 | − | 0.187849i | ||||
\(36\) | 0.415415 | − | 0.909632i | 0.0692358 | − | 0.151605i | ||||
\(37\) | −0.362134 | − | 2.51870i | −0.0595345 | − | 0.414071i | −0.997694 | − | 0.0678689i | \(-0.978380\pi\) |
0.938160 | − | 0.346203i | \(-0.112529\pi\) | |||||||
\(38\) | −1.71836 | − | 1.98310i | −0.278755 | − | 0.321701i | ||||
\(39\) | −0.877087 | − | 1.92055i | −0.140446 | − | 0.307535i | ||||
\(40\) | −0.841254 | + | 0.540641i | −0.133014 | + | 0.0854828i | ||||
\(41\) | −0.513005 | + | 3.56803i | −0.0801179 | + | 0.557232i | 0.909741 | + | 0.415177i | \(0.136280\pi\) |
−0.989859 | + | 0.142055i | \(0.954629\pi\) | |||||||
\(42\) | −3.31843 | − | 2.13263i | −0.512045 | − | 0.329071i | ||||
\(43\) | −8.19369 | + | 9.45602i | −1.24953 | + | 1.44203i | −0.398278 | + | 0.917265i | \(0.630392\pi\) |
−0.851247 | + | 0.524765i | \(0.824153\pi\) | |||||||
\(44\) | 4.05459 | + | 1.19054i | 0.611253 | + | 0.179480i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | −2.86065 | + | 3.84925i | −0.421779 | + | 0.567541i | ||||
\(47\) | −8.95443 | −1.30614 | −0.653069 | − | 0.757299i | \(-0.726519\pi\) | ||||
−0.653069 | + | 0.757299i | \(0.726519\pi\) | |||||||
\(48\) | 0.959493 | + | 0.281733i | 0.138491 | + | 0.0406646i | ||||
\(49\) | −5.60567 | + | 6.46928i | −0.800809 | + | 0.924183i | ||||
\(50\) | −0.841254 | − | 0.540641i | −0.118971 | − | 0.0764582i | ||||
\(51\) | 0.408917 | − | 2.84408i | 0.0572599 | − | 0.398251i | ||||
\(52\) | 1.77618 | − | 1.14148i | 0.246312 | − | 0.158295i | ||||
\(53\) | −4.05870 | − | 8.88731i | −0.557505 | − | 1.22077i | −0.953188 | − | 0.302379i | \(-0.902219\pi\) |
0.395683 | − | 0.918387i | \(-0.370508\pi\) | |||||||
\(54\) | −0.654861 | − | 0.755750i | −0.0891153 | − | 0.102844i | ||||
\(55\) | 0.601389 | + | 4.18276i | 0.0810913 | + | 0.564003i | ||||
\(56\) | 1.63866 | − | 3.58816i | 0.218975 | − | 0.479488i | ||||
\(57\) | −2.51772 | + | 0.739270i | −0.333480 | + | 0.0979187i | ||||
\(58\) | 9.75179 | − | 2.86339i | 1.28047 | − | 0.375981i | ||||
\(59\) | −2.31958 | + | 5.07918i | −0.301984 | + | 0.661253i | −0.998410 | − | 0.0563762i | \(-0.982045\pi\) |
0.696426 | + | 0.717629i | \(0.254773\pi\) | |||||||
\(60\) | 0.142315 | + | 0.989821i | 0.0183728 | + | 0.127785i | ||||
\(61\) | 0.622802 | + | 0.718752i | 0.0797416 | + | 0.0920267i | 0.794218 | − | 0.607632i | \(-0.207881\pi\) |
−0.714477 | + | 0.699659i | \(0.753335\pi\) | |||||||
\(62\) | 4.07446 | + | 8.92182i | 0.517457 | + | 1.13307i | ||||
\(63\) | −3.31843 | + | 2.13263i | −0.418083 | + | 0.268686i | ||||
\(64\) | −0.142315 | + | 0.989821i | −0.0177894 | + | 0.123728i | ||||
\(65\) | 1.77618 | + | 1.14148i | 0.220308 | + | 0.141584i | ||||
\(66\) | 2.76729 | − | 3.19362i | 0.340630 | − | 0.393108i | ||||
\(67\) | 0.480031 | + | 0.140950i | 0.0586451 | + | 0.0172198i | 0.310924 | − | 0.950435i | \(-0.399362\pi\) |
−0.252278 | + | 0.967655i | \(0.581180\pi\) | |||||||
\(68\) | 2.87333 | 0.348442 | ||||||||
\(69\) | 2.31304 | + | 4.20117i | 0.278458 | + | 0.505761i | ||||
\(70\) | 3.94463 | 0.471473 | ||||||||
\(71\) | −10.2180 | − | 3.00027i | −1.21265 | − | 0.356067i | −0.387975 | − | 0.921670i | \(-0.626825\pi\) |
−0.824678 | + | 0.565603i | \(0.808644\pi\) | |||||||
\(72\) | 0.654861 | − | 0.755750i | 0.0771761 | − | 0.0890659i | ||||
\(73\) | 3.02217 | + | 1.94223i | 0.353718 | + | 0.227321i | 0.705417 | − | 0.708792i | \(-0.250760\pi\) |
−0.351699 | + | 0.936113i | \(0.614396\pi\) | |||||||
\(74\) | 0.362134 | − | 2.51870i | 0.0420972 | − | 0.292793i | ||||
\(75\) | −0.841254 | + | 0.540641i | −0.0971396 | + | 0.0624278i | ||||
\(76\) | −1.09005 | − | 2.38689i | −0.125038 | − | 0.273795i | ||||
\(77\) | −10.9159 | − | 12.5977i | −1.24399 | − | 1.43564i | ||||
\(78\) | −0.300477 | − | 2.08986i | −0.0340223 | − | 0.236630i | ||||
\(79\) | 1.98127 | − | 4.33837i | 0.222910 | − | 0.488104i | −0.764826 | − | 0.644236i | \(-0.777175\pi\) |
0.987736 | + | 0.156132i | \(0.0499026\pi\) | |||||||
\(80\) | −0.959493 | + | 0.281733i | −0.107275 | + | 0.0314987i | ||||
\(81\) | −0.959493 | + | 0.281733i | −0.106610 | + | 0.0313036i | ||||
\(82\) | −1.49745 | + | 3.27897i | −0.165366 | + | 0.362101i | ||||
\(83\) | 2.12692 | + | 14.7930i | 0.233459 | + | 1.62375i | 0.682954 | + | 0.730462i | \(0.260695\pi\) |
−0.449494 | + | 0.893283i | \(0.648396\pi\) | |||||||
\(84\) | −2.58318 | − | 2.98115i | −0.281848 | − | 0.325270i | ||||
\(85\) | 1.19362 | + | 2.61367i | 0.129467 | + | 0.283492i | ||||
\(86\) | −10.5259 | + | 6.76456i | −1.13503 | + | 0.729441i | ||||
\(87\) | 1.44641 | − | 10.0600i | 0.155072 | − | 1.07855i | ||||
\(88\) | 3.55494 | + | 2.28462i | 0.378958 | + | 0.243542i | ||||
\(89\) | 11.7645 | − | 13.5769i | 1.24703 | − | 1.43915i | 0.392499 | − | 0.919752i | \(-0.371611\pi\) |
0.854532 | − | 0.519399i | \(-0.173844\pi\) | |||||||
\(90\) | 0.959493 | + | 0.281733i | 0.101139 | + | 0.0296972i | ||||
\(91\) | −8.32850 | −0.873064 | ||||||||
\(92\) | −3.82923 | + | 2.88739i | −0.399225 | + | 0.301031i | ||||
\(93\) | 9.80817 | 1.01706 | ||||||||
\(94\) | −8.59171 | − | 2.52275i | −0.886167 | − | 0.260202i | ||||
\(95\) | 1.71836 | − | 1.98310i | 0.176300 | − | 0.203461i | ||||
\(96\) | 0.841254 | + | 0.540641i | 0.0858601 | + | 0.0551789i | ||||
\(97\) | −2.06884 | + | 14.3891i | −0.210059 | + | 1.46099i | 0.562894 | + | 0.826529i | \(0.309688\pi\) |
−0.772953 | + | 0.634463i | \(0.781221\pi\) | |||||||
\(98\) | −7.20121 | + | 4.62793i | −0.727432 | + | 0.467492i | ||||
\(99\) | −1.75545 | − | 3.84389i | −0.176429 | − | 0.386326i | ||||
\(100\) | −0.654861 | − | 0.755750i | −0.0654861 | − | 0.0755750i | ||||
\(101\) | 1.29350 | + | 8.99650i | 0.128708 | + | 0.895186i | 0.947195 | + | 0.320660i | \(0.103905\pi\) |
−0.818486 | + | 0.574526i | \(0.805186\pi\) | |||||||
\(102\) | 1.19362 | − | 2.61367i | 0.118186 | − | 0.258792i | ||||
\(103\) | 13.6593 | − | 4.01072i | 1.34589 | − | 0.395188i | 0.472121 | − | 0.881534i | \(-0.343488\pi\) |
0.873767 | + | 0.486345i | \(0.161670\pi\) | |||||||
\(104\) | 2.02583 | − | 0.594837i | 0.198649 | − | 0.0583285i | ||||
\(105\) | 1.63866 | − | 3.58816i | 0.159917 | − | 0.350169i | ||||
\(106\) | −1.39045 | − | 9.67078i | −0.135052 | − | 0.939309i | ||||
\(107\) | −6.91629 | − | 7.98182i | −0.668623 | − | 0.771632i | 0.315537 | − | 0.948913i | \(-0.397815\pi\) |
−0.984160 | + | 0.177281i | \(0.943270\pi\) | |||||||
\(108\) | −0.415415 | − | 0.909632i | −0.0399733 | − | 0.0875294i | ||||
\(109\) | −12.3912 | + | 7.96332i | −1.18686 | + | 0.762748i | −0.976635 | − | 0.214906i | \(-0.931056\pi\) |
−0.210224 | + | 0.977653i | \(0.567419\pi\) | |||||||
\(110\) | −0.601389 | + | 4.18276i | −0.0573402 | + | 0.398810i | ||||
\(111\) | −2.14065 | − | 1.37571i | −0.203182 | − | 0.130577i | ||||
\(112\) | 2.58318 | − | 2.98115i | 0.244088 | − | 0.281692i | ||||
\(113\) | 0.301614 | + | 0.0885619i | 0.0283735 | + | 0.00833121i | 0.295888 | − | 0.955222i | \(-0.404384\pi\) |
−0.267515 | + | 0.963554i | \(0.586202\pi\) | |||||||
\(114\) | −2.62401 | −0.245761 | ||||||||
\(115\) | −4.21718 | − | 2.28372i | −0.393254 | − | 0.212958i | ||||
\(116\) | 10.1635 | 0.943656 | ||||||||
\(117\) | −2.02583 | − | 0.594837i | −0.187288 | − | 0.0549927i | ||||
\(118\) | −3.65659 | + | 4.21994i | −0.336617 | + | 0.388477i | ||||
\(119\) | −9.53494 | − | 6.12774i | −0.874067 | − | 0.561729i | ||||
\(120\) | −0.142315 | + | 0.989821i | −0.0129915 | + | 0.0903579i | ||||
\(121\) | 5.76857 | − | 3.70724i | 0.524416 | − | 0.337021i | ||||
\(122\) | 0.395078 | + | 0.865101i | 0.0357687 | + | 0.0783226i | ||||
\(123\) | 2.36059 | + | 2.72426i | 0.212847 | + | 0.245638i | ||||
\(124\) | 1.39585 | + | 9.70834i | 0.125351 | + | 0.871834i | ||||
\(125\) | 0.415415 | − | 0.909632i | 0.0371558 | − | 0.0813600i | ||||
\(126\) | −3.78484 | + | 1.11133i | −0.337181 | + | 0.0990052i | ||||
\(127\) | −6.83559 | + | 2.00711i | −0.606560 | + | 0.178102i | −0.570569 | − | 0.821250i | \(-0.693277\pi\) |
−0.0359916 | + | 0.999352i | \(0.511459\pi\) | |||||||
\(128\) | −0.415415 | + | 0.909632i | −0.0367178 | + | 0.0804009i | ||||
\(129\) | 1.78066 | + | 12.3848i | 0.156778 | + | 1.09042i | ||||
\(130\) | 1.38264 | + | 1.59565i | 0.121266 | + | 0.139948i | ||||
\(131\) | 9.10226 | + | 19.9312i | 0.795268 | + | 1.74139i | 0.660914 | + | 0.750462i | \(0.270169\pi\) |
0.134354 | + | 0.990933i | \(0.457104\pi\) | |||||||
\(132\) | 3.55494 | − | 2.28462i | 0.309418 | − | 0.198851i | ||||
\(133\) | −1.47307 | + | 10.2454i | −0.127731 | + | 0.888389i | ||||
\(134\) | 0.420876 | + | 0.270481i | 0.0363582 | + | 0.0233660i | ||||
\(135\) | 0.654861 | − | 0.755750i | 0.0563614 | − | 0.0650446i | ||||
\(136\) | 2.75694 | + | 0.809510i | 0.236406 | + | 0.0694149i | ||||
\(137\) | 0.664710 | 0.0567900 | 0.0283950 | − | 0.999597i | \(-0.490960\pi\) | ||||
0.0283950 | + | 0.999597i | \(0.490960\pi\) | |||||||
\(138\) | 1.03574 | + | 4.68265i | 0.0881682 | + | 0.398614i | ||||
\(139\) | −5.95709 | −0.505274 | −0.252637 | − | 0.967561i | \(-0.581298\pi\) | ||||
−0.252637 | + | 0.967561i | \(0.581298\pi\) | |||||||
\(140\) | 3.78484 | + | 1.11133i | 0.319878 | + | 0.0939245i | ||||
\(141\) | −5.86390 | + | 6.76730i | −0.493830 | + | 0.569910i | ||||
\(142\) | −8.95882 | − | 5.75748i | −0.751808 | − | 0.483157i | ||||
\(143\) | 1.26975 | − | 8.83127i | 0.106181 | − | 0.738508i | ||||
\(144\) | 0.841254 | − | 0.540641i | 0.0701045 | − | 0.0450534i | ||||
\(145\) | 4.22206 | + | 9.24503i | 0.350623 | + | 0.767758i | ||||
\(146\) | 2.35256 | + | 2.71500i | 0.194699 | + | 0.224695i | ||||
\(147\) | 1.21823 | + | 8.47296i | 0.100478 | + | 0.698838i | ||||
\(148\) | 1.05706 | − | 2.31465i | 0.0868902 | − | 0.190263i | ||||
\(149\) | 7.06196 | − | 2.07358i | 0.578539 | − | 0.169874i | 0.0206452 | − | 0.999787i | \(-0.493428\pi\) |
0.557893 | + | 0.829913i | \(0.311610\pi\) | |||||||
\(150\) | −0.959493 | + | 0.281733i | −0.0783423 | + | 0.0230034i | ||||
\(151\) | −5.93948 | + | 13.0057i | −0.483348 | + | 1.05838i | 0.498181 | + | 0.867073i | \(0.334001\pi\) |
−0.981529 | + | 0.191312i | \(0.938726\pi\) | |||||||
\(152\) | −0.373436 | − | 2.59730i | −0.0302897 | − | 0.210669i | ||||
\(153\) | −1.88163 | − | 2.17152i | −0.152121 | − | 0.175557i | ||||
\(154\) | −6.92459 | − | 15.1627i | −0.557999 | − | 1.22185i | ||||
\(155\) | −8.25116 | + | 5.30270i | −0.662749 | + | 0.425923i | ||||
\(156\) | 0.300477 | − | 2.08986i | 0.0240574 | − | 0.167323i | ||||
\(157\) | −18.3488 | − | 11.7921i | −1.46440 | − | 0.941111i | −0.998413 | − | 0.0563172i | \(-0.982064\pi\) |
−0.465984 | − | 0.884793i | \(-0.654299\pi\) | |||||||
\(158\) | 3.12327 | − | 3.60444i | 0.248474 | − | 0.286754i | ||||
\(159\) | −9.37446 | − | 2.75259i | −0.743443 | − | 0.218295i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | 18.8648 | − | 1.41529i | 1.48675 | − | 0.111540i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 7.88312 | + | 2.31469i | 0.617453 | + | 0.181301i | 0.575477 | − | 0.817818i | \(-0.304816\pi\) |
0.0419764 | + | 0.999119i | \(0.486635\pi\) | |||||||
\(164\) | −2.36059 | + | 2.72426i | −0.184331 | + | 0.212729i | ||||
\(165\) | 3.55494 | + | 2.28462i | 0.276752 | + | 0.177858i | ||||
\(166\) | −2.12692 | + | 14.7930i | −0.165081 | + | 1.14816i | ||||
\(167\) | 4.66082 | − | 2.99533i | 0.360665 | − | 0.231785i | −0.347741 | − | 0.937591i | \(-0.613051\pi\) |
0.708406 | + | 0.705805i | \(0.249415\pi\) | |||||||
\(168\) | −1.63866 | − | 3.58816i | −0.126425 | − | 0.276833i | ||||
\(169\) | 5.59395 | + | 6.45576i | 0.430304 | + | 0.496597i | ||||
\(170\) | 0.408917 | + | 2.84408i | 0.0313625 | + | 0.218131i | ||||
\(171\) | −1.09005 | + | 2.38689i | −0.0833586 | + | 0.182530i | ||||
\(172\) | −12.0053 | + | 3.52507i | −0.915394 | + | 0.268784i | ||||
\(173\) | 0.0473351 | − | 0.0138988i | 0.00359882 | − | 0.00105671i | −0.279933 | − | 0.960020i | \(-0.590312\pi\) |
0.283531 | + | 0.958963i | \(0.408494\pi\) | |||||||
\(174\) | 4.22206 | − | 9.24503i | 0.320074 | − | 0.700864i | ||||
\(175\) | 0.561379 | + | 3.90448i | 0.0424363 | + | 0.295151i | ||||
\(176\) | 2.76729 | + | 3.19362i | 0.208592 | + | 0.240728i | ||||
\(177\) | 2.31958 | + | 5.07918i | 0.174351 | + | 0.381775i | ||||
\(178\) | 15.1130 | − | 9.71253i | 1.13277 | − | 0.727985i | ||||
\(179\) | 1.05143 | − | 7.31283i | 0.0785873 | − | 0.546587i | −0.912051 | − | 0.410076i | \(-0.865502\pi\) |
0.990639 | − | 0.136511i | \(-0.0435888\pi\) | |||||||
\(180\) | 0.841254 | + | 0.540641i | 0.0627033 | + | 0.0402970i | ||||
\(181\) | −6.58854 | + | 7.60358i | −0.489723 | + | 0.565170i | −0.945791 | − | 0.324774i | \(-0.894712\pi\) |
0.456069 | + | 0.889944i | \(0.349257\pi\) | |||||||
\(182\) | −7.99114 | − | 2.34641i | −0.592342 | − | 0.173927i | ||||
\(183\) | 0.951045 | 0.0703033 | ||||||||
\(184\) | −4.48759 | + | 1.69161i | −0.330829 | + | 0.124707i | ||||
\(185\) | 2.54460 | 0.187083 | ||||||||
\(186\) | 9.41087 | + | 2.76328i | 0.690038 | + | 0.202614i | ||||
\(187\) | 7.95133 | − | 9.17633i | 0.581459 | − | 0.671039i | ||||
\(188\) | −7.53294 | − | 4.84113i | −0.549396 | − | 0.353076i | ||||
\(189\) | −0.561379 | + | 3.90448i | −0.0408343 | + | 0.284009i | ||||
\(190\) | 2.20746 | − | 1.41865i | 0.160146 | − | 0.102920i | ||||
\(191\) | −4.47057 | − | 9.78919i | −0.323479 | − | 0.708321i | 0.676115 | − | 0.736796i | \(-0.263662\pi\) |
−0.999595 | + | 0.0284750i | \(0.990935\pi\) | |||||||
\(192\) | 0.654861 | + | 0.755750i | 0.0472605 | + | 0.0545415i | ||||
\(193\) | 1.84276 | + | 12.8167i | 0.132645 | + | 0.922566i | 0.942087 | + | 0.335367i | \(0.108860\pi\) |
−0.809442 | + | 0.587199i | \(0.800231\pi\) | |||||||
\(194\) | −6.03892 | + | 13.2234i | −0.433569 | + | 0.949384i | ||||
\(195\) | 2.02583 | − | 0.594837i | 0.145073 | − | 0.0425971i | ||||
\(196\) | −8.21335 | + | 2.41166i | −0.586668 | + | 0.172261i | ||||
\(197\) | 5.40173 | − | 11.8281i | 0.384857 | − | 0.842719i | −0.613727 | − | 0.789518i | \(-0.710330\pi\) |
0.998584 | − | 0.0532009i | \(-0.0169424\pi\) | |||||||
\(198\) | −0.601389 | − | 4.18276i | −0.0427389 | − | 0.297256i | ||||
\(199\) | −2.01292 | − | 2.32303i | −0.142692 | − | 0.164675i | 0.679905 | − | 0.733300i | \(-0.262021\pi\) |
−0.822597 | + | 0.568625i | \(0.807476\pi\) | |||||||
\(200\) | −0.415415 | − | 0.909632i | −0.0293743 | − | 0.0643207i | ||||
\(201\) | 0.420876 | − | 0.270481i | 0.0296863 | − | 0.0190782i | ||||
\(202\) | −1.29350 | + | 8.99650i | −0.0910105 | + | 0.632992i | ||||
\(203\) | −33.7268 | − | 21.6749i | −2.36716 | − | 1.52128i | ||||
\(204\) | 1.88163 | − | 2.17152i | 0.131740 | − | 0.152037i | ||||
\(205\) | −3.45870 | − | 1.01557i | −0.241566 | − | 0.0709302i | ||||
\(206\) | 14.2359 | 0.991864 | ||||||||
\(207\) | 4.68975 | + | 1.00310i | 0.325960 | + | 0.0697203i | ||||
\(208\) | 2.11135 | 0.146396 | ||||||||
\(209\) | −10.6393 | − | 3.12398i | −0.735937 | − | 0.216090i | ||||
\(210\) | 2.58318 | − | 2.98115i | 0.178256 | − | 0.205719i | ||||
\(211\) | 8.55189 | + | 5.49596i | 0.588736 | + | 0.378358i | 0.800830 | − | 0.598891i | \(-0.204392\pi\) |
−0.212094 | + | 0.977249i | \(0.568028\pi\) | |||||||
\(212\) | 1.39045 | − | 9.67078i | 0.0954964 | − | 0.664192i | ||||
\(213\) | −8.95882 | + | 5.75748i | −0.613848 | + | 0.394496i | ||||
\(214\) | −4.38739 | − | 9.60705i | −0.299916 | − | 0.656724i | ||||
\(215\) | −8.19369 | − | 9.45602i | −0.558805 | − | 0.644895i | ||||
\(216\) | −0.142315 | − | 0.989821i | −0.00968330 | − | 0.0673488i | ||||
\(217\) | 16.0722 | − | 35.1933i | 1.09105 | − | 2.38908i | ||||
\(218\) | −14.1328 | + | 4.14975i | −0.957192 | + | 0.281057i | ||||
\(219\) | 3.44694 | − | 1.01211i | 0.232922 | − | 0.0683922i | ||||
\(220\) | −1.75545 | + | 3.84389i | −0.118352 | + | 0.259155i | ||||
\(221\) | −0.863368 | − | 6.00486i | −0.0580764 | − | 0.403931i | ||||
\(222\) | −1.66636 | − | 1.92308i | −0.111839 | − | 0.129069i | ||||
\(223\) | −0.599509 | − | 1.31274i | −0.0401461 | − | 0.0879077i | 0.888496 | − | 0.458884i | \(-0.151751\pi\) |
−0.928642 | + | 0.370976i | \(0.879023\pi\) | |||||||
\(224\) | 3.31843 | − | 2.13263i | 0.221722 | − | 0.142492i | ||||
\(225\) | −0.142315 | + | 0.989821i | −0.00948766 | + | 0.0659881i | ||||
\(226\) | 0.264446 | + | 0.169949i | 0.0175907 | + | 0.0113048i | ||||
\(227\) | 7.50489 | − | 8.66111i | 0.498117 | − | 0.574858i | −0.449899 | − | 0.893079i | \(-0.648540\pi\) |
0.948016 | + | 0.318221i | \(0.103086\pi\) | |||||||
\(228\) | −2.51772 | − | 0.739270i | −0.166740 | − | 0.0489594i | ||||
\(229\) | −9.49191 | −0.627243 | −0.313622 | − | 0.949548i | \(-0.601542\pi\) | ||||
−0.313622 | + | 0.949548i | \(0.601542\pi\) | |||||||
\(230\) | −3.40295 | − | 3.37933i | −0.224384 | − | 0.222827i | ||||
\(231\) | −16.6691 | −1.09675 | ||||||||
\(232\) | 9.75179 | + | 2.86339i | 0.640237 | + | 0.187990i | ||||
\(233\) | −11.1896 | + | 12.9134i | −0.733052 | + | 0.845987i | −0.992812 | − | 0.119686i | \(-0.961811\pi\) |
0.259760 | + | 0.965673i | \(0.416357\pi\) | |||||||
\(234\) | −1.77618 | − | 1.14148i | −0.116113 | − | 0.0746211i | ||||
\(235\) | 1.27435 | − | 8.86328i | 0.0831293 | − | 0.578177i | ||||
\(236\) | −4.69737 | + | 3.01882i | −0.305773 | + | 0.196508i | ||||
\(237\) | −1.98127 | − | 4.33837i | −0.128697 | − | 0.281807i | ||||
\(238\) | −7.42233 | − | 8.56583i | −0.481118 | − | 0.555240i | ||||
\(239\) | 1.14518 | + | 7.96488i | 0.0740753 | + | 0.515205i | 0.992751 | + | 0.120192i | \(0.0383510\pi\) |
−0.918675 | + | 0.395013i | \(0.870740\pi\) | |||||||
\(240\) | −0.415415 | + | 0.909632i | −0.0268149 | + | 0.0587165i | ||||
\(241\) | 2.58153 | − | 0.758004i | 0.166291 | − | 0.0488273i | −0.197527 | − | 0.980297i | \(-0.563291\pi\) |
0.363818 | + | 0.931470i | \(0.381473\pi\) | |||||||
\(242\) | 6.57935 | − | 1.93187i | 0.422937 | − | 0.124185i | ||||
\(243\) | −0.415415 | + | 0.909632i | −0.0266489 | + | 0.0583529i | ||||
\(244\) | 0.135348 | + | 0.941365i | 0.00866476 | + | 0.0602647i | ||||
\(245\) | −5.60567 | − | 6.46928i | −0.358133 | − | 0.413307i | ||||
\(246\) | 1.49745 | + | 3.27897i | 0.0954741 | + | 0.209059i | ||||
\(247\) | −4.66073 | + | 2.99527i | −0.296555 | + | 0.190584i | ||||
\(248\) | −1.39585 | + | 9.70834i | −0.0886364 | + | 0.616480i | ||||
\(249\) | 12.5727 | + | 8.07995i | 0.796759 | + | 0.512046i | ||||
\(250\) | 0.654861 | − | 0.755750i | 0.0414170 | − | 0.0477978i | ||||
\(251\) | 19.6013 | + | 5.75545i | 1.23722 | + | 0.363281i | 0.833970 | − | 0.551809i | \(-0.186062\pi\) |
0.403250 | + | 0.915090i | \(0.367880\pi\) | |||||||
\(252\) | −3.94463 | −0.248488 | ||||||||
\(253\) | −1.37536 | + | 20.2193i | −0.0864679 | + | 1.27118i | ||||
\(254\) | −7.12417 | −0.447010 | ||||||||
\(255\) | 2.75694 | + | 0.809510i | 0.172646 | + | 0.0506935i | ||||
\(256\) | −0.654861 | + | 0.755750i | −0.0409288 | + | 0.0472343i | ||||
\(257\) | 18.5448 | + | 11.9180i | 1.15679 | + | 0.743426i | 0.970980 | − | 0.239160i | \(-0.0768719\pi\) |
0.185812 | + | 0.982585i | \(0.440508\pi\) | |||||||
\(258\) | −1.78066 | + | 12.3848i | −0.110859 | + | 0.771041i | ||||
\(259\) | −8.44408 | + | 5.42668i | −0.524690 | + | 0.337197i | ||||
\(260\) | 0.877087 | + | 1.92055i | 0.0543947 | + | 0.119108i | ||||
\(261\) | −6.65567 | − | 7.68105i | −0.411976 | − | 0.475445i | ||||
\(262\) | 3.11830 | + | 21.6882i | 0.192649 | + | 1.33990i | ||||
\(263\) | 10.4078 | − | 22.7900i | 0.641774 | − | 1.40529i | −0.256798 | − | 0.966465i | \(-0.582668\pi\) |
0.898573 | − | 0.438825i | \(-0.144605\pi\) | |||||||
\(264\) | 4.05459 | − | 1.19054i | 0.249543 | − | 0.0732724i | ||||
\(265\) | 9.37446 | − | 2.75259i | 0.575869 | − | 0.169090i | ||||
\(266\) | −4.29986 | + | 9.41538i | −0.263641 | + | 0.577294i | ||||
\(267\) | −2.55666 | − | 17.7820i | −0.156465 | − | 1.08824i | ||||
\(268\) | 0.327625 | + | 0.378099i | 0.0200129 | + | 0.0230961i | ||||
\(269\) | 2.46059 | + | 5.38794i | 0.150025 | + | 0.328509i | 0.969692 | − | 0.244332i | \(-0.0785686\pi\) |
−0.819667 | + | 0.572841i | \(0.805841\pi\) | |||||||
\(270\) | 0.841254 | − | 0.540641i | 0.0511971 | − | 0.0329024i | ||||
\(271\) | −0.411607 | + | 2.86279i | −0.0250033 | + | 0.173902i | −0.998497 | − | 0.0548137i | \(-0.982543\pi\) |
0.973493 | + | 0.228716i | \(0.0734526\pi\) | |||||||
\(272\) | 2.41720 | + | 1.55344i | 0.146564 | + | 0.0941910i | ||||
\(273\) | −5.45401 | + | 6.29426i | −0.330092 | + | 0.380946i | ||||
\(274\) | 0.637785 | + | 0.187270i | 0.0385300 | + | 0.0113134i | ||||
\(275\) | −4.22577 | −0.254823 | ||||||||
\(276\) | −0.325469 | + | 4.78477i | −0.0195909 | + | 0.288010i | ||||
\(277\) | 4.95969 | 0.297999 | 0.148999 | − | 0.988837i | \(-0.452395\pi\) | ||||
0.148999 | + | 0.988837i | \(0.452395\pi\) | |||||||
\(278\) | −5.71579 | − | 1.67831i | −0.342810 | − | 0.100658i | ||||
\(279\) | 6.42298 | − | 7.41252i | 0.384534 | − | 0.443776i | ||||
\(280\) | 3.31843 | + | 2.13263i | 0.198314 | + | 0.127449i | ||||
\(281\) | 2.63918 | − | 18.3559i | 0.157440 | − | 1.09502i | −0.745889 | − | 0.666071i | \(-0.767975\pi\) |
0.903329 | − | 0.428949i | \(-0.141116\pi\) | |||||||
\(282\) | −7.53294 | + | 4.84113i | −0.448580 | + | 0.288285i | ||||
\(283\) | 6.09788 | + | 13.3525i | 0.362482 | + | 0.793724i | 0.999734 | + | 0.0230687i | \(0.00734365\pi\) |
−0.637252 | + | 0.770655i | \(0.719929\pi\) | |||||||
\(284\) | −6.97385 | − | 8.04826i | −0.413822 | − | 0.477576i | ||||
\(285\) | −0.373436 | − | 2.59730i | −0.0221204 | − | 0.153851i | ||||
\(286\) | 3.70637 | − | 8.11581i | 0.219162 | − | 0.479898i | ||||
\(287\) | 13.6433 | − | 4.00603i | 0.805338 | − | 0.236468i | ||||
\(288\) | 0.959493 | − | 0.281733i | 0.0565387 | − | 0.0166013i | ||||
\(289\) | −3.63238 | + | 7.95381i | −0.213670 | + | 0.467871i | ||||
\(290\) | 1.44641 | + | 10.0600i | 0.0849364 | + | 0.590746i | ||||
\(291\) | 9.51976 | + | 10.9864i | 0.558058 | + | 0.644033i | ||||
\(292\) | 1.49236 | + | 3.26781i | 0.0873337 | + | 0.191234i | ||||
\(293\) | 7.89628 | − | 5.07463i | 0.461305 | − | 0.296463i | −0.289270 | − | 0.957247i | \(-0.593413\pi\) |
0.750576 | + | 0.660784i | \(0.229776\pi\) | |||||||
\(294\) | −1.21823 | + | 8.47296i | −0.0710485 | + | 0.494153i | ||||
\(295\) | −4.69737 | − | 3.01882i | −0.273491 | − | 0.175762i | ||||
\(296\) | 1.66636 | − | 1.92308i | 0.0968551 | − | 0.111777i | ||||
\(297\) | −4.05459 | − | 1.19054i | −0.235271 | − | 0.0690819i | ||||
\(298\) | 7.36010 | 0.426359 | ||||||||
\(299\) | 7.18484 | + | 7.13496i | 0.415510 | + | 0.412626i | ||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | 47.3564 | + | 13.9051i | 2.72957 | + | 0.801475i | ||||
\(302\) | −9.36301 | + | 10.8055i | −0.538780 | + | 0.621786i | ||||
\(303\) | 7.64617 | + | 4.91389i | 0.439261 | + | 0.282296i | ||||
\(304\) | 0.373436 | − | 2.59730i | 0.0214180 | − | 0.148966i | ||||
\(305\) | −0.800070 | + | 0.514174i | −0.0458119 | + | 0.0294415i | ||||
\(306\) | −1.19362 | − | 2.61367i | −0.0682349 | − | 0.149414i | ||||
\(307\) | −13.0401 | − | 15.0490i | −0.744235 | − | 0.858893i | 0.249761 | − | 0.968307i | \(-0.419648\pi\) |
−0.993996 | + | 0.109414i | \(0.965102\pi\) | |||||||
\(308\) | −2.37226 | − | 16.4994i | −0.135172 | − | 0.940141i | ||||
\(309\) | 5.91382 | − | 12.9495i | 0.336425 | − | 0.736669i | ||||
\(310\) | −9.41087 | + | 2.76328i | −0.534501 | + | 0.156944i | ||||
\(311\) | −6.52065 | + | 1.91463i | −0.369752 | + | 0.108569i | −0.461329 | − | 0.887229i | \(-0.652627\pi\) |
0.0915774 | + | 0.995798i | \(0.470809\pi\) | |||||||
\(312\) | 0.877087 | − | 1.92055i | 0.0496553 | − | 0.108730i | ||||
\(313\) | −3.00769 | − | 20.9190i | −0.170005 | − | 1.18241i | −0.878869 | − | 0.477064i | \(-0.841701\pi\) |
0.708864 | − | 0.705345i | \(-0.249208\pi\) | |||||||
\(314\) | −14.2834 | − | 16.4839i | −0.806057 | − | 0.930239i | ||||
\(315\) | −1.63866 | − | 3.58816i | −0.0923279 | − | 0.202170i | ||||
\(316\) | 4.01224 | − | 2.57851i | 0.225706 | − | 0.145053i | ||||
\(317\) | 1.16453 | − | 8.09950i | 0.0654067 | − | 0.454913i | −0.930629 | − | 0.365963i | \(-0.880740\pi\) |
0.996036 | − | 0.0889504i | \(-0.0283513\pi\) | |||||||
\(318\) | −8.21924 | − | 5.28218i | −0.460912 | − | 0.296210i | ||||
\(319\) | 28.1253 | − | 32.4583i | 1.57471 | − | 1.81732i | ||||
\(320\) | −0.959493 | − | 0.281733i | −0.0536373 | − | 0.0157493i | ||||
\(321\) | −10.5615 | −0.589484 | ||||||||
\(322\) | 18.4993 | + | 3.95686i | 1.03093 | + | 0.220507i | ||||
\(323\) | −7.53965 | −0.419517 | ||||||||
\(324\) | −0.959493 | − | 0.281733i | −0.0533052 | − | 0.0156518i | ||||
\(325\) | −1.38264 | + | 1.59565i | −0.0766952 | + | 0.0885109i | ||||
\(326\) | 6.91167 | + | 4.44186i | 0.382802 | + | 0.246012i | ||||
\(327\) | −2.09621 | + | 14.5795i | −0.115921 | + | 0.806247i | ||||
\(328\) | −3.03248 | + | 1.94886i | −0.167441 | + | 0.107608i | ||||
\(329\) | 14.6732 | + | 32.1299i | 0.808962 | + | 1.77138i | ||||
\(330\) | 2.76729 | + | 3.19362i | 0.152334 | + | 0.175803i | ||||
\(331\) | −1.64970 | − | 11.4739i | −0.0906756 | − | 0.630663i | −0.983588 | − | 0.180431i | \(-0.942251\pi\) |
0.892912 | − | 0.450231i | \(-0.148658\pi\) | |||||||
\(332\) | −6.20844 | + | 13.5946i | −0.340732 | + | 0.746099i | ||||
\(333\) | −2.44152 | + | 0.716896i | −0.133795 | + | 0.0392857i | ||||
\(334\) | 5.31590 | − | 1.56089i | 0.290873 | − | 0.0854081i | ||||
\(335\) | −0.207831 | + | 0.455086i | −0.0113550 | + | 0.0248640i | ||||
\(336\) | −0.561379 | − | 3.90448i | −0.0306257 | − | 0.213007i | ||||
\(337\) | −1.41401 | − | 1.63185i | −0.0770258 | − | 0.0888926i | 0.715929 | − | 0.698174i | \(-0.246004\pi\) |
−0.792954 | + | 0.609281i | \(0.791458\pi\) | |||||||
\(338\) | 3.54855 | + | 7.77025i | 0.193016 | + | 0.422646i | ||||
\(339\) | 0.264446 | − | 0.169949i | 0.0143627 | − | 0.00923037i | ||||
\(340\) | −0.408917 | + | 2.84408i | −0.0221767 | + | 0.154242i | ||||
\(341\) | 34.8675 | + | 22.4080i | 1.88818 | + | 1.21346i | ||||
\(342\) | −1.71836 | + | 1.98310i | −0.0929185 | + | 0.107234i | ||||
\(343\) | 5.90469 | + | 1.73377i | 0.318823 | + | 0.0936150i | ||||
\(344\) | −12.5121 | −0.674608 | ||||||||
\(345\) | −4.48759 | + | 1.69161i | −0.241604 | + | 0.0910732i | ||||
\(346\) | 0.0493334 | 0.00265218 | ||||||||
\(347\) | 14.9894 | + | 4.40129i | 0.804674 | + | 0.236274i | 0.658104 | − | 0.752927i | \(-0.271359\pi\) |
0.146570 | + | 0.989200i | \(0.453177\pi\) | |||||||
\(348\) | 6.65567 | − | 7.68105i | 0.356781 | − | 0.411748i | ||||
\(349\) | 19.4302 | + | 12.4870i | 1.04007 | + | 0.668415i | 0.945005 | − | 0.327056i | \(-0.106057\pi\) |
0.0950684 | + | 0.995471i | \(0.469693\pi\) | |||||||
\(350\) | −0.561379 | + | 3.90448i | −0.0300070 | + | 0.208703i | ||||
\(351\) | −1.77618 | + | 1.14148i | −0.0948056 | + | 0.0609279i | ||||
\(352\) | 1.75545 | + | 3.84389i | 0.0935657 | + | 0.204880i | ||||
\(353\) | −9.43522 | − | 10.8888i | −0.502186 | − | 0.579554i | 0.446895 | − | 0.894587i | \(-0.352530\pi\) |
−0.949081 | + | 0.315033i | \(0.897984\pi\) | |||||||
\(354\) | 0.794654 | + | 5.52694i | 0.0422354 | + | 0.293754i | ||||
\(355\) | 4.42391 | − | 9.68701i | 0.234797 | − | 0.514133i | ||||
\(356\) | 17.2371 | − | 5.06128i | 0.913567 | − | 0.268247i | ||||
\(357\) | −10.8751 | + | 3.19322i | −0.575571 | + | 0.169003i | ||||
\(358\) | 3.06910 | − | 6.72039i | 0.162207 | − | 0.355184i | ||||
\(359\) | 2.94840 | + | 20.5065i | 0.155610 | + | 1.08229i | 0.906603 | + | 0.421984i | \(0.138666\pi\) |
−0.750993 | + | 0.660310i | \(0.770425\pi\) | |||||||
\(360\) | 0.654861 | + | 0.755750i | 0.0345142 | + | 0.0398315i | ||||
\(361\) | −5.03257 | − | 11.0198i | −0.264872 | − | 0.579989i | ||||
\(362\) | −8.46384 | + | 5.43938i | −0.444849 | + | 0.285887i | ||||
\(363\) | 0.975869 | − | 6.78732i | 0.0512198 | − | 0.356242i | ||||
\(364\) | −7.00638 | − | 4.50273i | −0.367234 | − | 0.236007i | ||||
\(365\) | −2.35256 | + | 2.71500i | −0.123138 | + | 0.142109i | ||||
\(366\) | 0.912521 | + | 0.267940i | 0.0476982 | + | 0.0140055i | ||||
\(367\) | −32.8148 | −1.71292 | −0.856460 | − | 0.516214i | \(-0.827341\pi\) | ||||
−0.856460 | + | 0.516214i | \(0.827341\pi\) | |||||||
\(368\) | −4.78239 | + | 0.358788i | −0.249299 | + | 0.0187031i | ||||
\(369\) | 3.60472 | 0.187654 | ||||||||
\(370\) | 2.44152 | + | 0.716896i | 0.126929 | + | 0.0372697i | ||||
\(371\) | −25.2383 | + | 29.1265i | −1.31031 | + | 1.51217i | ||||
\(372\) | 8.25116 | + | 5.30270i | 0.427803 | + | 0.274932i | ||||
\(373\) | 1.99032 | − | 13.8430i | 0.103055 | − | 0.716761i | −0.871137 | − | 0.491040i | \(-0.836617\pi\) |
0.974192 | − | 0.225722i | \(-0.0724740\pi\) | |||||||
\(374\) | 10.2145 | − | 6.56447i | 0.528180 | − | 0.339441i | ||||
\(375\) | −0.415415 | − | 0.909632i | −0.0214519 | − | 0.0469732i | ||||
\(376\) | −5.86390 | − | 6.76730i | −0.302408 | − | 0.348997i | ||||
\(377\) | −3.05389 | − | 21.2403i | −0.157283 | − | 1.09393i | ||||
\(378\) | −1.63866 | + | 3.58816i | −0.0842835 | + | 0.184555i | ||||
\(379\) | −25.1882 | + | 7.39593i | −1.29383 | + | 0.379903i | −0.854982 | − | 0.518657i | \(-0.826432\pi\) |
−0.438850 | + | 0.898561i | \(0.644614\pi\) | |||||||
\(380\) | 2.51772 | − | 0.739270i | 0.129156 | − | 0.0379238i | ||||
\(381\) | −2.95949 | + | 6.48037i | −0.151619 | + | 0.331999i | ||||
\(382\) | −1.53155 | − | 10.6522i | −0.0783609 | − | 0.545012i | ||||
\(383\) | −20.4493 | − | 23.5997i | −1.04491 | − | 1.20589i | −0.978102 | − | 0.208125i | \(-0.933264\pi\) |
−0.0668081 | − | 0.997766i | \(-0.521282\pi\) | |||||||
\(384\) | 0.415415 | + | 0.909632i | 0.0211991 | + | 0.0464195i | ||||
\(385\) | 14.0229 | − | 9.01199i | 0.714674 | − | 0.459293i | ||||
\(386\) | −1.84276 | + | 12.8167i | −0.0937942 | + | 0.652353i | ||||
\(387\) | 10.5259 | + | 6.76456i | 0.535059 | + | 0.343862i | ||||
\(388\) | −9.51976 | + | 10.9864i | −0.483293 | + | 0.557749i | ||||
\(389\) | −3.67773 | − | 1.07988i | −0.186468 | − | 0.0547521i | 0.187165 | − | 0.982328i | \(-0.440070\pi\) |
−0.373634 | + | 0.927576i | \(0.621888\pi\) | |||||||
\(390\) | 2.11135 | 0.106912 | ||||||||
\(391\) | 2.97603 | + | 13.4548i | 0.150504 | + | 0.680438i | ||||
\(392\) | −8.56009 | −0.432350 | ||||||||
\(393\) | 21.0237 | + | 6.17311i | 1.06051 | + | 0.311392i | ||||
\(394\) | 8.51529 | − | 9.82717i | 0.428994 | − | 0.495085i | ||||
\(395\) | 4.01224 | + | 2.57851i | 0.201878 | + | 0.129739i | ||||
\(396\) | 0.601389 | − | 4.18276i | 0.0302210 | − | 0.210191i | ||||
\(397\) | 31.0531 | − | 19.9566i | 1.55851 | − | 1.00159i | 0.575554 | − | 0.817764i | \(-0.304786\pi\) |
0.982958 | − | 0.183831i | \(-0.0588500\pi\) | |||||||
\(398\) | −1.27691 | − | 2.79604i | −0.0640055 | − | 0.140153i | ||||
\(399\) | 6.77830 | + | 7.82258i | 0.339340 | + | 0.391619i | ||||
\(400\) | −0.142315 | − | 0.989821i | −0.00711574 | − | 0.0494911i | ||||
\(401\) | 8.03120 | − | 17.5859i | 0.401059 | − | 0.878197i | −0.596103 | − | 0.802908i | \(-0.703285\pi\) |
0.997162 | − | 0.0752886i | \(-0.0239878\pi\) | |||||||
\(402\) | 0.480031 | − | 0.140950i | 0.0239418 | − | 0.00702994i | ||||
\(403\) | 19.8697 | − | 5.83426i | 0.989778 | − | 0.290625i | ||||
\(404\) | −3.77571 | + | 8.26766i | −0.187849 | + | 0.411332i | ||||
\(405\) | −0.142315 | − | 0.989821i | −0.00707168 | − | 0.0491846i | ||||
\(406\) | −26.2541 | − | 30.2989i | −1.30297 | − | 1.50371i | ||||
\(407\) | −4.46691 | − | 9.78117i | −0.221416 | − | 0.484834i | ||||
\(408\) | 2.41720 | − | 1.55344i | 0.119669 | − | 0.0769067i | ||||
\(409\) | −0.731145 | + | 5.08522i | −0.0361528 | + | 0.251448i | −0.999881 | − | 0.0154381i | \(-0.995086\pi\) |
0.963728 | + | 0.266886i | \(0.0859948\pi\) | |||||||
\(410\) | −3.03248 | − | 1.94886i | −0.149764 | − | 0.0962472i | ||||
\(411\) | 0.435293 | − | 0.502354i | 0.0214714 | − | 0.0247793i | ||||
\(412\) | 13.6593 | + | 4.01072i | 0.672944 | + | 0.197594i | ||||
\(413\) | 22.0259 | 1.08382 | ||||||||
\(414\) | 4.21718 | + | 2.28372i | 0.207263 | + | 0.112239i | ||||
\(415\) | −14.9451 | −0.733628 | ||||||||
\(416\) | 2.02583 | + | 0.594837i | 0.0993244 | + | 0.0291643i | ||||
\(417\) | −3.90106 | + | 4.50207i | −0.191036 | + | 0.220467i | ||||
\(418\) | −9.32822 | − | 5.99488i | −0.456258 | − | 0.293219i | ||||
\(419\) | −4.04776 | + | 28.1528i | −0.197746 | + | 1.37535i | 0.613058 | + | 0.790038i | \(0.289939\pi\) |
−0.810804 | + | 0.585317i | \(0.800970\pi\) | |||||||
\(420\) | 3.31843 | − | 2.13263i | 0.161923 | − | 0.104062i | ||||
\(421\) | −6.72160 | − | 14.7183i | −0.327591 | − | 0.717324i | 0.672142 | − | 0.740422i | \(-0.265374\pi\) |
−0.999733 | + | 0.0230980i | \(0.992647\pi\) | |||||||
\(422\) | 6.65708 | + | 7.68268i | 0.324062 | + | 0.373987i | ||||
\(423\) | 1.27435 | + | 8.86328i | 0.0619609 | + | 0.430948i | ||||
\(424\) | 4.05870 | − | 8.88731i | 0.197108 | − | 0.431606i | ||||
\(425\) | −2.75694 | + | 0.809510i | −0.133731 | + | 0.0392670i | ||||
\(426\) | −10.2180 | + | 3.00027i | −0.495064 | + | 0.145364i | ||||
\(427\) | 1.55844 | − | 3.41250i | 0.0754181 | − | 0.165143i | ||||
\(428\) | −1.50305 | − | 10.4540i | −0.0726528 | − | 0.505311i | ||||
\(429\) | −5.84272 | − | 6.74286i | −0.282089 | − | 0.325548i | ||||
\(430\) | −5.19772 | − | 11.3814i | −0.250656 | − | 0.548860i | ||||
\(431\) | 12.9932 | − | 8.35025i | 0.625863 | − | 0.402218i | −0.188913 | − | 0.981994i | \(-0.560496\pi\) |
0.814776 | + | 0.579776i | \(0.196860\pi\) | |||||||
\(432\) | 0.142315 | − | 0.989821i | 0.00684713 | − | 0.0476228i | ||||
\(433\) | −9.80247 | − | 6.29967i | −0.471077 | − | 0.302743i | 0.283479 | − | 0.958978i | \(-0.408511\pi\) |
−0.754556 | + | 0.656236i | \(0.772148\pi\) | |||||||
\(434\) | 25.3363 | − | 29.2396i | 1.21618 | − | 1.40355i | ||||
\(435\) | 9.75179 | + | 2.86339i | 0.467563 | + | 0.137289i | ||||
\(436\) | −14.7294 | −0.705411 | ||||||||
\(437\) | 10.0479 | − | 7.57655i | 0.480658 | − | 0.362435i | ||||
\(438\) | 3.59245 | 0.171654 | ||||||||
\(439\) | −32.1036 | − | 9.42646i | −1.53222 | − | 0.449901i | −0.596491 | − | 0.802620i | \(-0.703439\pi\) |
−0.935729 | + | 0.352719i | \(0.885257\pi\) | |||||||
\(440\) | −2.76729 | + | 3.19362i | −0.131925 | + | 0.152250i | ||||
\(441\) | 7.20121 | + | 4.62793i | 0.342915 | + | 0.220378i | ||||
\(442\) | 0.863368 | − | 6.00486i | 0.0410662 | − | 0.285622i | ||||
\(443\) | 3.29968 | − | 2.12058i | 0.156773 | − | 0.100752i | −0.459902 | − | 0.887969i | \(-0.652116\pi\) |
0.616675 | + | 0.787218i | \(0.288479\pi\) | |||||||
\(444\) | −1.05706 | − | 2.31465i | −0.0501661 | − | 0.109848i | ||||
\(445\) | 11.7645 | + | 13.5769i | 0.557689 | + | 0.643608i | ||||
\(446\) | −0.205383 | − | 1.42847i | −0.00972515 | − | 0.0676399i | ||||
\(447\) | 3.05750 | − | 6.69498i | 0.144615 | − | 0.316662i | ||||
\(448\) | 3.78484 | − | 1.11133i | 0.178817 | − | 0.0525054i | ||||
\(449\) | 27.9669 | − | 8.21183i | 1.31984 | − | 0.387540i | 0.455406 | − | 0.890284i | \(-0.349494\pi\) |
0.864436 | + | 0.502744i | \(0.167676\pi\) | |||||||
\(450\) | −0.415415 | + | 0.909632i | −0.0195829 | + | 0.0428805i | ||||
\(451\) | 2.16784 | + | 15.0776i | 0.102080 | + | 0.709979i | ||||
\(452\) | 0.205854 | + | 0.237568i | 0.00968255 | + | 0.0111743i | ||||
\(453\) | 5.93948 | + | 13.0057i | 0.279061 | + | 0.611059i | ||||
\(454\) | 9.64101 | − | 6.19590i | 0.452475 | − | 0.290788i | ||||
\(455\) | 1.18527 | − | 8.24373i | 0.0555663 | − | 0.386472i | ||||
\(456\) | −2.20746 | − | 1.41865i | −0.103374 | − | 0.0664343i | ||||
\(457\) | −2.32594 | + | 2.68427i | −0.108803 | + | 0.125565i | −0.807539 | − | 0.589815i | \(-0.799201\pi\) |
0.698736 | + | 0.715380i | \(0.253746\pi\) | |||||||
\(458\) | −9.10742 | − | 2.67418i | −0.425562 | − | 0.124956i | ||||
\(459\) | −2.87333 | −0.134115 | ||||||||
\(460\) | −2.31304 | − | 4.20117i | −0.107846 | − | 0.195881i | ||||
\(461\) | 8.15995 | 0.380047 | 0.190023 | − | 0.981780i | \(-0.439144\pi\) | ||||
0.190023 | + | 0.981780i | \(0.439144\pi\) | |||||||
\(462\) | −15.9939 | − | 4.69622i | −0.744102 | − | 0.218488i | ||||
\(463\) | 12.6213 | − | 14.5657i | 0.586560 | − | 0.676927i | −0.382442 | − | 0.923980i | \(-0.624917\pi\) |
0.969002 | + | 0.247053i | \(0.0794622\pi\) | |||||||
\(464\) | 8.55007 | + | 5.49480i | 0.396927 | + | 0.255089i | ||||
\(465\) | −1.39585 | + | 9.70834i | −0.0647309 | + | 0.450213i | ||||
\(466\) | −14.3744 | + | 9.23788i | −0.665883 | + | 0.427937i | ||||
\(467\) | 9.67364 | + | 21.1823i | 0.447643 | + | 0.980201i | 0.990132 | + | 0.140138i | \(0.0447546\pi\) |
−0.542489 | + | 0.840063i | \(0.682518\pi\) | |||||||
\(468\) | −1.38264 | − | 1.59565i | −0.0639126 | − | 0.0737591i | ||||
\(469\) | −0.280856 | − | 1.95340i | −0.0129687 | − | 0.0901995i | ||||
\(470\) | 3.71980 | − | 8.14523i | 0.171582 | − | 0.375712i | ||||
\(471\) | −20.9278 | + | 6.14495i | −0.964302 | + | 0.283145i | ||||
\(472\) | −5.35759 | + | 1.57313i | −0.246603 | + | 0.0724092i | ||||
\(473\) | −21.9643 | + | 48.0952i | −1.00992 | + | 2.21142i | ||||
\(474\) | −0.678751 | − | 4.72082i | −0.0311761 | − | 0.216834i | ||||
\(475\) | 1.71836 | + | 1.98310i | 0.0788439 | + | 0.0909907i | ||||
\(476\) | −4.70840 | − | 10.3100i | −0.215809 | − | 0.472556i | ||||
\(477\) | −8.21924 | + | 5.28218i | −0.376333 | + | 0.241855i | ||||
\(478\) | −1.14518 | + | 7.96488i | −0.0523792 | + | 0.364305i | ||||
\(479\) | −0.638272 | − | 0.410193i | −0.0291634 | − | 0.0187422i | 0.525978 | − | 0.850498i | \(-0.323699\pi\) |
−0.555141 | + | 0.831756i | \(0.687336\pi\) | |||||||
\(480\) | −0.654861 | + | 0.755750i | −0.0298902 | + | 0.0344951i | ||||
\(481\) | −5.15492 | − | 1.51362i | −0.235044 | − | 0.0690152i | ||||
\(482\) | 2.69051 | 0.122549 | ||||||||
\(483\) | 11.2842 | − | 15.1838i | 0.513448 | − | 0.690889i | ||||
\(484\) | 6.85711 | 0.311687 | ||||||||
\(485\) | −13.9482 | − | 4.09557i | −0.633356 | − | 0.185970i | ||||
\(486\) | −0.654861 | + | 0.755750i | −0.0297051 | + | 0.0342815i | ||||
\(487\) | −22.0430 | − | 14.1662i | −0.998863 | − | 0.641931i | −0.0643756 | − | 0.997926i | \(-0.520506\pi\) |
−0.934488 | + | 0.355995i | \(0.884142\pi\) | |||||||
\(488\) | −0.135348 | + | 0.941365i | −0.00612691 | + | 0.0426136i | ||||
\(489\) | 6.91167 | − | 4.44186i | 0.312557 | − | 0.200868i | ||||
\(490\) | −3.55599 | − | 7.78653i | −0.160643 | − | 0.351760i | ||||
\(491\) | −23.1736 | − | 26.7438i | −1.04581 | − | 1.20693i | −0.977864 | − | 0.209241i | \(-0.932901\pi\) |
−0.0679464 | − | 0.997689i | \(-0.521645\pi\) | |||||||
\(492\) | 0.513005 | + | 3.56803i | 0.0231280 | + | 0.160859i | ||||
\(493\) | 12.1314 | − | 26.5640i | 0.546370 | − | 1.19638i | ||||
\(494\) | −5.31580 | + | 1.56086i | −0.239169 | + | 0.0702264i | ||||
\(495\) | 4.05459 | − | 1.19054i | 0.182240 | − | 0.0535106i | ||||
\(496\) | −4.07446 | + | 8.92182i | −0.182949 | + | 0.400602i | ||||
\(497\) | 5.97833 | + | 41.5802i | 0.268165 | + | 1.86513i | ||||
\(498\) | 9.78699 | + | 11.2948i | 0.438565 | + | 0.506131i | ||||
\(499\) | −4.62321 | − | 10.1234i | −0.206963 | − | 0.453187i | 0.777476 | − | 0.628913i | \(-0.216500\pi\) |
−0.984439 | + | 0.175726i | \(0.943773\pi\) | |||||||
\(500\) | 0.841254 | − | 0.540641i | 0.0376220 | − | 0.0241782i | ||||
\(501\) | 0.788471 | − | 5.48393i | 0.0352263 | − | 0.245004i | ||||
\(502\) | 17.1858 | + | 11.0446i | 0.767039 | + | 0.492946i | ||||
\(503\) | −6.03847 | + | 6.96877i | −0.269242 | + | 0.310722i | −0.874229 | − | 0.485513i | \(-0.838633\pi\) |
0.604987 | + | 0.796235i | \(0.293178\pi\) | |||||||
\(504\) | −3.78484 | − | 1.11133i | −0.168590 | − | 0.0495026i | ||||
\(505\) | −9.08902 | −0.404456 | ||||||||
\(506\) | −7.01609 | + | 19.0128i | −0.311903 | + | 0.845224i | ||||
\(507\) | 8.54219 | 0.379372 | ||||||||
\(508\) | −6.83559 | − | 2.00711i | −0.303280 | − | 0.0890511i | ||||
\(509\) | 17.7472 | − | 20.4813i | 0.786630 | − | 0.907819i | −0.210940 | − | 0.977499i | \(-0.567652\pi\) |
0.997569 | + | 0.0696800i | \(0.0221978\pi\) | |||||||
\(510\) | 2.41720 | + | 1.55344i | 0.107035 | + | 0.0687874i | ||||
\(511\) | 2.01673 | − | 14.0267i | 0.0892148 | − | 0.620503i | ||||
\(512\) | −0.841254 | + | 0.540641i | −0.0371785 | + | 0.0238932i | ||||
\(513\) | 1.09005 | + | 2.38689i | 0.0481271 | + | 0.105384i | ||||
\(514\) | 14.4359 | + | 16.6599i | 0.636741 | + | 0.734838i | ||||
\(515\) | 2.02598 | + | 14.0910i | 0.0892755 | + | 0.620925i | ||||
\(516\) | −5.19772 | + | 11.3814i | −0.228817 | + | 0.501039i | ||||
\(517\) | −36.3066 | + | 10.6606i | −1.59676 | + | 0.468851i | ||||
\(518\) | −9.63091 | + | 2.82789i | −0.423158 | + | 0.124250i | ||||
\(519\) | 0.0204938 | − | 0.0448753i | 0.000899580 | − | 0.00196981i | ||||
\(520\) | 0.300477 | + | 2.08986i | 0.0131768 | + | 0.0916465i | ||||
\(521\) | −7.08823 | − | 8.18026i | −0.310541 | − | 0.358384i | 0.578928 | − | 0.815379i | \(-0.303471\pi\) |
−0.889469 | + | 0.456995i | \(0.848926\pi\) | |||||||
\(522\) | −4.22206 | − | 9.24503i | −0.184795 | − | 0.404644i | ||||
\(523\) | 30.8308 | − | 19.8138i | 1.34814 | − | 0.866396i | 0.350600 | − | 0.936525i | \(-0.385978\pi\) |
0.997538 | + | 0.0701297i | \(0.0223413\pi\) | |||||||
\(524\) | −3.11830 | + | 21.6882i | −0.136223 | + | 0.947455i | ||||
\(525\) | 3.31843 | + | 2.13263i | 0.144828 | + | 0.0930755i | ||||
\(526\) | 16.4069 | − | 18.9346i | 0.715376 | − | 0.825587i | ||||
\(527\) | 27.0405 | + | 7.93981i | 1.17790 | + | 0.345864i | ||||
\(528\) | 4.22577 | 0.183903 | ||||||||
\(529\) | −17.4867 | − | 14.9404i | −0.760293 | − | 0.649581i | ||||
\(530\) | 9.77023 | 0.424391 | ||||||||
\(531\) | 5.35759 | + | 1.57313i | 0.232500 | + | 0.0682681i | ||||
\(532\) | −6.77830 | + | 7.82258i | −0.293877 | + | 0.339152i | ||||
\(533\) | 6.40263 | + | 4.11472i | 0.277329 | + | 0.178228i | ||||
\(534\) | 2.55666 | − | 17.7820i | 0.110638 | − | 0.769502i | ||||
\(535\) | 8.88487 | − | 5.70996i | 0.384126 | − | 0.246863i | ||||
\(536\) | 0.207831 | + | 0.455086i | 0.00897692 | + | 0.0196567i | ||||
\(537\) | −4.83813 | − | 5.58350i | −0.208781 | − | 0.240946i | ||||
\(538\) | 0.842961 | + | 5.86292i | 0.0363426 | + | 0.252769i | ||||
\(539\) | −15.0268 | + | 32.9041i | −0.647250 | + | 1.41728i | ||||
\(540\) | 0.959493 | − | 0.281733i | 0.0412900 | − | 0.0121238i | ||||
\(541\) | 29.7206 | − | 8.72674i | 1.27779 | − | 0.375192i | 0.428701 | − | 0.903447i | \(-0.358972\pi\) |
0.849086 | + | 0.528255i | \(0.177153\pi\) | |||||||
\(542\) | −1.20147 | + | 2.63086i | −0.0516077 | + | 0.113005i | ||||
\(543\) | 1.43183 | + | 9.95858i | 0.0614456 | + | 0.427363i | ||||
\(544\) | 1.88163 | + | 2.17152i | 0.0806742 | + | 0.0931030i | ||||
\(545\) | −6.11882 | − | 13.3983i | −0.262101 | − | 0.573922i | ||||
\(546\) | −7.00638 | + | 4.50273i | −0.299845 | + | 0.192699i | ||||
\(547\) | −0.726474 | + | 5.05274i | −0.0310618 | + | 0.216039i | −0.999441 | − | 0.0334451i | \(-0.989352\pi\) |
0.968379 | + | 0.249485i | \(0.0802612\pi\) | |||||||
\(548\) | 0.559190 | + | 0.359369i | 0.0238874 | + | 0.0153515i | ||||
\(549\) | 0.622802 | − | 0.718752i | 0.0265805 | − | 0.0306756i | ||||
\(550\) | −4.05459 | − | 1.19054i | −0.172888 | − | 0.0507646i | ||||
\(551\) | −26.6691 | −1.13614 | ||||||||
\(552\) | −1.66031 | + | 4.49926i | −0.0706676 | + | 0.191501i | ||||
\(553\) | −18.8134 | −0.800026 | ||||||||
\(554\) | 4.75879 | + | 1.39731i | 0.202181 | + | 0.0593658i | ||||
\(555\) | 1.66636 | − | 1.92308i | 0.0707330 | − | 0.0816302i | ||||
\(556\) | −5.01142 | − | 3.22065i | −0.212532 | − | 0.136586i | ||||
\(557\) | −4.71905 | + | 32.8217i | −0.199952 | + | 1.39070i | 0.604464 | + | 0.796633i | \(0.293388\pi\) |
−0.804416 | + | 0.594067i | \(0.797522\pi\) | |||||||
\(558\) | 8.25116 | − | 5.30270i | 0.349299 | − | 0.224481i | ||||
\(559\) | 10.9742 | + | 24.0302i | 0.464160 | + | 1.01637i | ||||
\(560\) | 2.58318 | + | 2.98115i | 0.109159 | + | 0.125977i | ||||
\(561\) | −1.72799 | − | 12.0184i | −0.0729558 | − | 0.507419i | ||||
\(562\) | 7.70372 | − | 16.8688i | 0.324962 | − | 0.711567i | ||||
\(563\) | −2.67583 | + | 0.785694i | −0.112773 | + | 0.0331130i | −0.337632 | − | 0.941278i | \(-0.609626\pi\) |
0.224859 | + | 0.974391i | \(0.427808\pi\) | |||||||
\(564\) | −8.59171 | + | 2.52275i | −0.361776 | + | 0.106227i | ||||
\(565\) | −0.130585 | + | 0.285941i | −0.00549374 | + | 0.0120296i | ||||
\(566\) | 2.08904 | + | 14.5296i | 0.0878090 | + | 0.610725i | ||||
\(567\) | 2.58318 | + | 2.98115i | 0.108483 | + | 0.125197i | ||||
\(568\) | −4.42391 | − | 9.68701i | −0.185623 | − | 0.406458i | ||||
\(569\) | −5.30618 | + | 3.41007i | −0.222446 | + | 0.142958i | −0.647118 | − | 0.762390i | \(-0.724026\pi\) |
0.424672 | + | 0.905347i | \(0.360390\pi\) | |||||||
\(570\) | 0.373436 | − | 2.59730i | 0.0156415 | − | 0.108789i | ||||
\(571\) | −25.9411 | − | 16.6714i | −1.08560 | − | 0.697675i | −0.129758 | − | 0.991546i | \(-0.541420\pi\) |
−0.955845 | + | 0.293871i | \(0.905056\pi\) | |||||||
\(572\) | 5.84272 | − | 6.74286i | 0.244297 | − | 0.281933i | ||||
\(573\) | −10.3258 | − | 3.03192i | −0.431366 | − | 0.126660i | ||||
\(574\) | 14.2193 | 0.593501 | ||||||||
\(575\) | 2.86065 | − | 3.84925i | 0.119297 | − | 0.160525i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −1.05384 | − | 0.309436i | −0.0438720 | − | 0.0128820i | 0.259723 | − | 0.965683i | \(-0.416369\pi\) |
−0.303595 | + | 0.952801i | \(0.598187\pi\) | |||||||
\(578\) | −5.72609 | + | 6.60826i | −0.238174 | + | 0.274867i | ||||
\(579\) | 10.8930 | + | 7.00049i | 0.452696 | + | 0.290930i | ||||
\(580\) | −1.44641 | + | 10.0600i | −0.0600591 | + | 0.417720i | ||||
\(581\) | 49.5944 | − | 31.8724i | 2.05752 | − | 1.32229i | ||||
\(582\) | 6.03892 | + | 13.2234i | 0.250321 | + | 0.548127i | ||||
\(583\) | −27.0370 | − | 31.2024i | −1.11976 | − | 1.29227i | ||||
\(584\) | 0.511260 | + | 3.55589i | 0.0211561 | + | 0.147144i | ||||
\(585\) | 0.877087 | − | 1.92055i | 0.0362631 | − | 0.0794051i | ||||
\(586\) | 9.00611 | − | 2.64443i | 0.372039 | − | 0.109240i | ||||
\(587\) | −38.8782 | + | 11.4157i | −1.60468 | + | 0.471175i | −0.956843 | − | 0.290607i | \(-0.906143\pi\) |
−0.647833 | + | 0.761782i | \(0.724325\pi\) | |||||||
\(588\) | −3.55599 | + | 7.78653i | −0.146647 | + | 0.321111i | ||||
\(589\) | −3.66272 | − | 25.4748i | −0.150920 | − | 1.04967i | ||||
\(590\) | −3.65659 | − | 4.21994i | −0.150540 | − | 0.173732i | ||||
\(591\) | −5.40173 | − | 11.8281i | −0.222197 | − | 0.486544i | ||||
\(592\) | 2.14065 | − | 1.37571i | 0.0879803 | − | 0.0565415i | ||||
\(593\) | −2.45787 | + | 17.0949i | −0.100933 | + | 0.702003i | 0.875031 | + | 0.484068i | \(0.160841\pi\) |
−0.975963 | + | 0.217935i | \(0.930068\pi\) | |||||||
\(594\) | −3.55494 | − | 2.28462i | −0.145861 | − | 0.0937392i | ||||
\(595\) | 7.42233 | − | 8.56583i | 0.304286 | − | 0.351165i | ||||
\(596\) | 7.06196 | + | 2.07358i | 0.289269 | + | 0.0849371i | ||||
\(597\) | −3.07381 | −0.125803 | ||||||||
\(598\) | 4.88365 | + | 8.87015i | 0.199707 | + | 0.362727i | ||||
\(599\) | −27.4057 | −1.11977 | −0.559883 | − | 0.828571i | \(-0.689154\pi\) | ||||
−0.559883 | + | 0.828571i | \(0.689154\pi\) | |||||||
\(600\) | −0.959493 | − | 0.281733i | −0.0391711 | − | 0.0115017i | ||||
\(601\) | −11.1111 | + | 12.8229i | −0.453230 | + | 0.523056i | −0.935671 | − | 0.352873i | \(-0.885205\pi\) |
0.482441 | + | 0.875928i | \(0.339750\pi\) | |||||||
\(602\) | 41.5206 | + | 26.6837i | 1.69225 | + | 1.08754i | ||||
\(603\) | 0.0711997 | − | 0.495204i | 0.00289947 | − | 0.0201663i | ||||
\(604\) | −12.0280 | + | 7.72992i | −0.489412 | + | 0.314526i | ||||
\(605\) | 2.84855 | + | 6.23745i | 0.115810 | + | 0.253588i | ||||
\(606\) | 5.95204 | + | 6.86902i | 0.241785 | + | 0.279035i | ||||
\(607\) | −4.08614 | − | 28.4198i | −0.165851 | − | 1.15352i | −0.887347 | − | 0.461103i | \(-0.847454\pi\) |
0.721495 | − | 0.692419i | \(-0.243455\pi\) | |||||||
\(608\) | 1.09005 | − | 2.38689i | 0.0442076 | − | 0.0968010i | ||||
\(609\) | −38.4672 | + | 11.2950i | −1.55877 | + | 0.457696i | ||||
\(610\) | −0.912521 | + | 0.267940i | −0.0369469 | + | 0.0108486i | ||||
\(611\) | −7.85382 | + | 17.1975i | −0.317731 | + | 0.695735i | ||||
\(612\) | −0.408917 | − | 2.84408i | −0.0165295 | − | 0.114965i | ||||
\(613\) | 6.14933 | + | 7.09670i | 0.248369 | + | 0.286633i | 0.866221 | − | 0.499661i | \(-0.166542\pi\) |
−0.617852 | + | 0.786295i | \(0.711997\pi\) | |||||||
\(614\) | −8.27204 | − | 18.1132i | −0.333832 | − | 0.730991i | ||||
\(615\) | −3.03248 | + | 1.94886i | −0.122281 | + | 0.0785855i | ||||
\(616\) | 2.37226 | − | 16.4994i | 0.0955810 | − | 0.664780i | ||||
\(617\) | −1.36275 | − | 0.875785i | −0.0548622 | − | 0.0352578i | 0.512922 | − | 0.858435i | \(-0.328563\pi\) |
−0.567784 | + | 0.823177i | \(0.692199\pi\) | |||||||
\(618\) | 9.32255 | − | 10.7588i | 0.375008 | − | 0.432782i | ||||
\(619\) | 39.7969 | + | 11.6854i | 1.59957 | + | 0.469677i | 0.955428 | − | 0.295226i | \(-0.0953949\pi\) |
0.644146 | + | 0.764903i | \(0.277213\pi\) | |||||||
\(620\) | −9.80817 | −0.393906 | ||||||||
\(621\) | 3.82923 | − | 2.88739i | 0.153662 | − | 0.115867i | ||||
\(622\) | −6.79593 | −0.272492 | ||||||||
\(623\) | −67.9941 | − | 19.9649i | −2.72413 | − | 0.799876i | ||||
\(624\) | 1.38264 | − | 1.59565i | 0.0553500 | − | 0.0638773i | ||||
\(625\) | 0.841254 | + | 0.540641i | 0.0336501 | + | 0.0216256i | ||||
\(626\) | 3.00769 | − | 20.9190i | 0.120212 | − | 0.836090i | ||||
\(627\) | −9.32822 | + | 5.99488i | −0.372533 | + | 0.239412i | ||||
\(628\) | −9.06074 | − | 19.8403i | −0.361563 | − | 0.791713i | ||||
\(629\) | −4.78799 | − | 5.52564i | −0.190910 | − | 0.220322i | ||||
\(630\) | −0.561379 | − | 3.90448i | −0.0223659 | − | 0.155558i | ||||
\(631\) | −3.89199 | + | 8.52228i | −0.154938 | + | 0.339267i | −0.971144 | − | 0.238494i | \(-0.923346\pi\) |
0.816206 | + | 0.577761i | \(0.196073\pi\) | |||||||
\(632\) | 4.57617 | − | 1.34369i | 0.182030 | − | 0.0534489i | ||||
\(633\) | 9.75387 | − | 2.86399i | 0.387681 | − | 0.113834i | ||||
\(634\) | 3.39925 | − | 7.44333i | 0.135002 | − | 0.295612i | ||||
\(635\) | −1.01387 | − | 7.05165i | −0.0402344 | − | 0.279836i | ||||
\(636\) | −6.39814 | − | 7.38384i | −0.253703 | − | 0.292788i | ||||
\(637\) | 7.50795 | + | 16.4401i | 0.297476 | + | 0.651381i | ||||
\(638\) | 36.1306 | − | 23.2197i | 1.43042 | − | 0.919278i | ||||
\(639\) | −1.51556 | + | 10.5410i | −0.0599548 | + | 0.416995i | ||||
\(640\) | −0.841254 | − | 0.540641i | −0.0332535 | − | 0.0213707i | ||||
\(641\) | 4.58130 | − | 5.28710i | 0.180950 | − | 0.208828i | −0.658027 | − | 0.752995i | \(-0.728609\pi\) |
0.838977 | + | 0.544167i | \(0.183154\pi\) | |||||||
\(642\) | −10.1337 | − | 2.97551i | −0.399943 | − | 0.117434i | ||||
\(643\) | 33.4391 | 1.31871 | 0.659356 | − | 0.751831i | \(-0.270829\pi\) | ||||
0.659356 | + | 0.751831i | \(0.270829\pi\) | |||||||
\(644\) | 16.6352 | + | 9.00844i | 0.655519 | + | 0.354982i | ||||
\(645\) | −12.5121 | −0.492664 | ||||||||
\(646\) | −7.23424 | − | 2.12417i | −0.284627 | − | 0.0835742i | ||||
\(647\) | −16.4231 | + | 18.9533i | −0.645660 | + | 0.745131i | −0.980365 | − | 0.197192i | \(-0.936818\pi\) |
0.334705 | + | 0.942323i | \(0.391363\pi\) | |||||||
\(648\) | −0.841254 | − | 0.540641i | −0.0330476 | − | 0.0212384i | ||||
\(649\) | −3.35802 | + | 23.3556i | −0.131814 | + | 0.916786i | ||||
\(650\) | −1.77618 | + | 1.14148i | −0.0696676 | + | 0.0447727i | ||||
\(651\) | −16.0722 | − | 35.1933i | −0.629920 | − | 1.37933i | ||||
\(652\) | 5.38028 | + | 6.20918i | 0.210708 | + | 0.243170i | ||||
\(653\) | 1.36594 | + | 9.50034i | 0.0534535 | + | 0.371777i | 0.998937 | + | 0.0461059i | \(0.0146812\pi\) |
−0.945483 | + | 0.325671i | \(0.894410\pi\) | |||||||
\(654\) | −6.11882 | + | 13.3983i | −0.239265 | + | 0.523917i | ||||
\(655\) | −21.0237 | + | 6.17311i | −0.821464 | + | 0.241203i | ||||
\(656\) | −3.45870 | + | 1.01557i | −0.135040 | + | 0.0396512i | ||||
\(657\) | 1.49236 | − | 3.26781i | 0.0582225 | − | 0.127489i | ||||
\(658\) | 5.02683 | + | 34.9624i | 0.195966 | + | 1.36297i | ||||
\(659\) | −17.8394 | − | 20.5878i | −0.694926 | − | 0.801987i | 0.293132 | − | 0.956072i | \(-0.405303\pi\) |
−0.988058 | + | 0.154085i | \(0.950757\pi\) | |||||||
\(660\) | 1.75545 | + | 3.84389i | 0.0683307 | + | 0.149623i | ||||
\(661\) | −10.4618 | + | 6.72341i | −0.406918 | + | 0.261510i | −0.728050 | − | 0.685524i | \(-0.759573\pi\) |
0.321132 | + | 0.947035i | \(0.395937\pi\) | |||||||
\(662\) | 1.64970 | − | 11.4739i | 0.0641174 | − | 0.445946i | ||||
\(663\) | −5.10356 | − | 3.27986i | −0.198206 | − | 0.127379i | ||||
\(664\) | −9.78699 | + | 11.2948i | −0.379809 | + | 0.438323i | ||||
\(665\) | −9.93148 | − | 2.91615i | −0.385126 | − | 0.113083i | ||||
\(666\) | −2.54460 | −0.0986012 | ||||||||
\(667\) | 10.5267 | + | 47.5921i | 0.407597 | + | 1.84277i | ||||
\(668\) | 5.54033 | 0.214362 | ||||||||
\(669\) | −1.38470 | − | 0.406584i | −0.0535356 | − | 0.0157195i | ||||
\(670\) | −0.327625 | + | 0.378099i | −0.0126572 | + | 0.0146072i | ||||
\(671\) | 3.38091 | + | 2.17278i | 0.130519 | + | 0.0838792i | ||||
\(672\) | 0.561379 | − | 3.90448i | 0.0216557 | − | 0.150618i | ||||
\(673\) | −32.7270 | + | 21.0324i | −1.26153 | + | 0.810738i | −0.988493 | − | 0.151264i | \(-0.951666\pi\) |
−0.273040 | + | 0.962003i | \(0.588029\pi\) | |||||||
\(674\) | −0.896984 | − | 1.96412i | −0.0345505 | − | 0.0756551i | ||||
\(675\) | 0.654861 | + | 0.755750i | 0.0252056 | + | 0.0290888i | ||||
\(676\) | 1.21568 | + | 8.45524i | 0.0467569 | + | 0.325202i | ||||
\(677\) | −3.46922 | + | 7.59654i | −0.133333 | + | 0.291959i | −0.964509 | − | 0.264051i | \(-0.914941\pi\) |
0.831176 | + | 0.556010i | \(0.187668\pi\) | |||||||
\(678\) | 0.301614 | − | 0.0885619i | 0.0115834 | − | 0.00340120i | ||||
\(679\) | 55.0205 | − | 16.1555i | 2.11149 | − | 0.619991i | ||||
\(680\) | −1.19362 | + | 2.61367i | −0.0457734 | + | 0.100230i | ||||
\(681\) | −1.63097 | − | 11.3436i | −0.0624989 | − | 0.434689i | ||||
\(682\) | 27.1420 | + | 31.3236i | 1.03932 | + | 1.19944i | ||||
\(683\) | 17.9151 | + | 39.2287i | 0.685504 | + | 1.50104i | 0.856705 | + | 0.515807i | \(0.172508\pi\) |
−0.171201 | + | 0.985236i | \(0.554765\pi\) | |||||||
\(684\) | −2.20746 | + | 1.41865i | −0.0844044 | + | 0.0542434i | ||||
\(685\) | −0.0945981 | + | 0.657944i | −0.00361441 | + | 0.0251388i | ||||
\(686\) | 5.17705 | + | 3.32709i | 0.197661 | + | 0.127029i | ||||
\(687\) | −6.21588 | + | 7.17351i | −0.237151 | + | 0.273686i | ||||
\(688\) | −12.0053 | − | 3.52507i | −0.457697 | − | 0.134392i | ||||
\(689\) | −20.6284 | −0.785879 | ||||||||
\(690\) | −4.78239 | + | 0.358788i | −0.182063 | + | 0.0136588i | ||||
\(691\) | 3.11978 | 0.118682 | 0.0593411 | − | 0.998238i | \(-0.481100\pi\) | ||||
0.0593411 | + | 0.998238i | \(0.481100\pi\) | |||||||
\(692\) | 0.0473351 | + | 0.0138988i | 0.00179941 | + | 0.000528354i | ||||
\(693\) | −10.9159 | + | 12.5977i | −0.414662 | + | 0.478545i | ||||
\(694\) | 13.1423 | + | 8.44601i | 0.498873 | + | 0.320606i | ||||
\(695\) | 0.847782 | − | 5.89646i | 0.0321582 | − | 0.223665i | ||||
\(696\) | 8.55007 | − | 5.49480i | 0.324090 | − | 0.208280i | ||||
\(697\) | 4.30267 | + | 9.42154i | 0.162975 | + | 0.356866i | ||||
\(698\) | 15.1251 | + | 17.4553i | 0.572494 | + | 0.660693i | ||||
\(699\) | 2.43172 | + | 16.9130i | 0.0919762 | + | 0.639708i | ||||
\(700\) | −1.63866 | + | 3.58816i | −0.0619354 | + | 0.135620i | ||||
\(701\) | −22.3386 | + | 6.55920i | −0.843717 | + | 0.247738i | −0.674900 | − | 0.737910i | \(-0.735813\pi\) |
−0.168818 | + | 0.985647i | \(0.553995\pi\) | |||||||
\(702\) | −2.02583 | + | 0.594837i | −0.0764599 | + | 0.0224507i | ||||
\(703\) | −2.77375 | + | 6.07367i | −0.104614 | + | 0.229073i | ||||
\(704\) | 0.601389 | + | 4.18276i | 0.0226657 | + | 0.157644i | ||||
\(705\) | −5.86390 | − | 6.76730i | −0.220847 | − | 0.254871i | ||||
\(706\) | −5.98529 | − | 13.1060i | −0.225259 | − | 0.493249i | ||||
\(707\) | 30.1613 | − | 19.3835i | 1.13433 | − | 0.728991i | ||||
\(708\) | −0.794654 | + | 5.52694i | −0.0298649 | + | 0.207715i | ||||
\(709\) | −17.8295 | − | 11.4583i | −0.669601 | − | 0.430326i | 0.161181 | − | 0.986925i | \(-0.448470\pi\) |
−0.830782 | + | 0.556599i | \(0.812106\pi\) | |||||||
\(710\) | 6.97385 | − | 8.04826i | 0.261724 | − | 0.302046i | ||||
\(711\) | −4.57617 | − | 1.34369i | −0.171620 | − | 0.0503921i | ||||
\(712\) | 17.9648 | 0.673261 | ||||||||
\(713\) | −44.0150 | + | 16.5916i | −1.64838 | + | 0.621360i | ||||
\(714\) | −11.3342 | −0.424172 | ||||||||
\(715\) | 8.56068 | + | 2.51364i | 0.320151 | + | 0.0940049i | ||||
\(716\) | 4.83813 | − | 5.58350i | 0.180809 | − | 0.208665i | ||||
\(717\) | 6.76939 | + | 4.35042i | 0.252807 | + | 0.162469i | ||||
\(718\) | −2.94840 | + | 20.5065i | −0.110033 | + | 0.765297i | ||||
\(719\) | 17.3411 | − | 11.1444i | 0.646712 | − | 0.415617i | −0.175751 | − | 0.984435i | \(-0.556235\pi\) |
0.822464 | + | 0.568818i | \(0.192599\pi\) | |||||||
\(720\) | 0.415415 | + | 0.909632i | 0.0154816 | + | 0.0339000i | ||||
\(721\) | −36.7740 | − | 42.4395i | −1.36954 | − | 1.58053i | ||||
\(722\) | −1.72408 | − | 11.9912i | −0.0641636 | − | 0.446268i | ||||
\(723\) | 1.11768 | − | 2.44737i | 0.0415669 | − | 0.0910188i | ||||
\(724\) | −9.65344 | + | 2.83451i | −0.358767 | + | 0.105344i | ||||
\(725\) | −9.75179 | + | 2.86339i | −0.362173 | + | 0.106343i | ||||
\(726\) | 2.84855 | − | 6.23745i | 0.105720 | − | 0.231494i | ||||
\(727\) | 6.36307 | + | 44.2561i | 0.235993 | + | 1.64137i | 0.671371 | + | 0.741121i | \(0.265706\pi\) |
−0.435378 | + | 0.900248i | \(0.643385\pi\) | |||||||
\(728\) | −5.45401 | − | 6.29426i | −0.202139 | − | 0.233281i | ||||
\(729\) | 0.415415 | + | 0.909632i | 0.0153857 | + | 0.0336901i | ||||
\(730\) | −3.02217 | + | 1.94223i | −0.111855 | + | 0.0718851i | ||||
\(731\) | −5.11642 | + | 35.5855i | −0.189237 | + | 1.31618i | ||||
\(732\) | 0.800070 | + | 0.514174i | 0.0295714 | + | 0.0190044i | ||||
\(733\) | −19.7627 | + | 22.8074i | −0.729952 | + | 0.842410i | −0.992466 | − | 0.122518i | \(-0.960903\pi\) |
0.262514 | + | 0.964928i | \(0.415448\pi\) | |||||||
\(734\) | −31.4856 | − | 9.24500i | −1.16215 | − | 0.341239i | ||||
\(735\) | −8.56009 | −0.315744 | ||||||||
\(736\) | −4.68975 | − | 1.00310i | −0.172867 | − | 0.0369748i | ||||
\(737\) | 2.11414 | 0.0778753 | ||||||||
\(738\) | 3.45870 | + | 1.01557i | 0.127316 | + | 0.0373835i | ||||
\(739\) | −9.10480 | + | 10.5075i | −0.334926 | + | 0.386525i | −0.898084 | − | 0.439824i | \(-0.855041\pi\) |
0.563158 | + | 0.826349i | \(0.309586\pi\) | |||||||
\(740\) | 2.14065 | + | 1.37571i | 0.0786920 | + | 0.0505723i | ||||
\(741\) | −0.788455 | + | 5.48383i | −0.0289646 | + | 0.201453i | ||||
\(742\) | −32.4218 | + | 20.8362i | −1.19024 | + | 0.764923i | ||||
\(743\) | −6.61739 | − | 14.4901i | −0.242769 | − | 0.531589i | 0.748549 | − | 0.663080i | \(-0.230751\pi\) |
−0.991317 | + | 0.131491i | \(0.958024\pi\) | |||||||
\(744\) | 6.42298 | + | 7.41252i | 0.235478 | + | 0.271756i | ||||
\(745\) | 1.04745 | + | 7.28518i | 0.0383757 | + | 0.266909i | ||||
\(746\) | 5.80971 | − | 12.7215i | 0.212709 | − | 0.465767i | ||||
\(747\) | 14.3398 | − | 4.21053i | 0.524664 | − | 0.154055i | ||||
\(748\) | 11.6502 | − | 3.42080i | 0.425973 | − | 0.125077i | ||||
\(749\) | −17.3066 | + | 37.8962i | −0.632370 | + | 1.38470i | ||||
\(750\) | −0.142315 | − | 0.989821i | −0.00519660 | − | 0.0361432i | ||||
\(751\) | 23.7331 | + | 27.3894i | 0.866032 | + | 0.999454i | 0.999964 | + | 0.00846392i | \(0.00269418\pi\) |
−0.133932 | + | 0.990991i | \(0.542760\pi\) | |||||||
\(752\) | −3.71980 | − | 8.14523i | −0.135647 | − | 0.297026i | ||||
\(753\) | 17.1858 | − | 11.0446i | 0.626284 | − | 0.402489i | ||||
\(754\) | 3.05389 | − | 21.2403i | 0.111216 | − | 0.773525i | ||||
\(755\) | −12.0280 | − | 7.72992i | −0.437744 | − | 0.281321i | ||||
\(756\) | −2.58318 | + | 2.98115i | −0.0939494 | + | 0.108423i | ||||
\(757\) | −42.1763 | − | 12.3841i | −1.53292 | − | 0.450107i | −0.596981 | − | 0.802256i | \(-0.703633\pi\) |
−0.935944 | + | 0.352148i | \(0.885451\pi\) | |||||||
\(758\) | −26.2516 | −0.953501 | ||||||||
\(759\) | 14.3801 | + | 14.2803i | 0.521964 | + | 0.518341i | ||||
\(760\) | 2.62401 | 0.0951830 | ||||||||
\(761\) | −3.09147 | − | 0.907739i | −0.112066 | − | 0.0329055i | 0.225219 | − | 0.974308i | \(-0.427690\pi\) |
−0.337285 | + | 0.941403i | \(0.609508\pi\) | |||||||
\(762\) | −4.66534 | + | 5.38408i | −0.169007 | + | 0.195045i | ||||
\(763\) | 48.8785 | + | 31.4123i | 1.76952 | + | 1.13720i | ||||
\(764\) | 1.53155 | − | 10.6522i | 0.0554095 | − | 0.385382i | ||||
\(765\) | 2.41720 | − | 1.55344i | 0.0873940 | − | 0.0561647i | ||||
\(766\) | −12.9721 | − | 28.4050i | −0.468703 | − | 1.02632i | ||||
\(767\) | 7.72036 | + | 8.90977i | 0.278766 | + | 0.321713i | ||||
\(768\) | 0.142315 | + | 0.989821i | 0.00513534 | + | 0.0357171i | ||||
\(769\) | −13.7934 | + | 30.2033i | −0.497402 | + | 1.08916i | 0.479903 | + | 0.877322i | \(0.340672\pi\) |
−0.977305 | + | 0.211837i | \(0.932055\pi\) | |||||||
\(770\) | 15.9939 | − | 4.69622i | 0.576379 | − | 0.169240i | ||||
\(771\) | 21.1513 | − | 6.21058i | 0.761745 | − | 0.223669i | ||||
\(772\) | −5.37900 | + | 11.7784i | −0.193594 | + | 0.423913i | ||||
\(773\) | −1.51647 | − | 10.5473i | −0.0545437 | − | 0.379360i | −0.998749 | − | 0.0500025i | \(-0.984077\pi\) |
0.944205 | − | 0.329357i | \(-0.106832\pi\) | |||||||
\(774\) | 8.19369 | + | 9.45602i | 0.294516 | + | 0.339890i | ||||
\(775\) | −4.07446 | − | 8.92182i | −0.146359 | − | 0.320481i | ||||
\(776\) | −12.2294 | + | 7.85934i | −0.439009 | + | 0.282134i | ||||
\(777\) | −1.42848 | + | 9.93533i | −0.0512466 | + | 0.356428i | ||||
\(778\) | −3.22452 | − | 2.07227i | −0.115605 | − | 0.0742946i | ||||
\(779\) | 6.19421 | − | 7.14850i | 0.221931 | − | 0.256122i | ||||
\(780\) | 2.02583 | + | 0.594837i | 0.0725363 | + | 0.0212986i | ||||
\(781\) | −45.0018 | −1.61029 | ||||||||
\(782\) | −0.935179 | + | 13.7482i | −0.0334419 | + | 0.491636i | ||||
\(783\) | −10.1635 | −0.363213 | ||||||||
\(784\) | −8.21335 | − | 2.41166i | −0.293334 | − | 0.0861306i | ||||
\(785\) | 14.2834 | − | 16.4839i | 0.509795 | − | 0.588335i | ||||
\(786\) | 18.4329 | + | 11.8461i | 0.657480 | + | 0.422537i | ||||
\(787\) | −1.19424 | + | 8.30609i | −0.0425699 | + | 0.296080i | 0.957403 | + | 0.288754i | \(0.0932410\pi\) |
−0.999973 | + | 0.00732590i | \(0.997668\pi\) | |||||||
\(788\) | 10.9390 | − | 7.03006i | 0.389685 | − | 0.250436i | ||||
\(789\) | −10.4078 | − | 22.7900i | −0.370529 | − | 0.811344i | ||||
\(790\) | 3.12327 | + | 3.60444i | 0.111121 | + | 0.128240i | ||||
\(791\) | −0.176468 | − | 1.22736i | −0.00627448 | − | 0.0436400i | ||||
\(792\) | 1.75545 | − | 3.84389i | 0.0623771 | − | 0.136587i | ||||
\(793\) | 1.92665 | − | 0.565716i | 0.0684175 | − | 0.0200892i | ||||
\(794\) | 35.4177 | − | 10.3996i | 1.25693 | − | 0.369067i | ||||
\(795\) | 4.05870 | − | 8.88731i | 0.143947 | − | 0.315200i | ||||
\(796\) | −0.437449 | − | 3.04252i | −0.0155050 | − | 0.107839i | ||||
\(797\) | 18.8111 | + | 21.7092i | 0.666324 | + | 0.768979i | 0.983796 | − | 0.179289i | \(-0.0573797\pi\) |
−0.317473 | + | 0.948267i | \(0.602834\pi\) | |||||||
\(798\) | 4.29986 | + | 9.41538i | 0.152213 | + | 0.333301i | ||||
\(799\) | −21.6446 | + | 13.9102i | −0.765732 | + | 0.492106i | ||||
\(800\) | 0.142315 | − | 0.989821i | 0.00503159 | − | 0.0349955i | ||||
\(801\) | −15.1130 | − | 9.71253i | −0.533991 | − | 0.343175i | ||||
\(802\) | 12.6604 | − | 14.6109i | 0.447054 | − | 0.515928i | ||||
\(803\) | 14.5659 | + | 4.27695i | 0.514021 | + | 0.150930i | ||||
\(804\) | 0.500297 | 0.0176441 | ||||||||
\(805\) | −1.28385 | + | 18.8742i | −0.0452499 | + | 0.665227i | ||||
\(806\) | 20.7085 | 0.729426 | ||||||||
\(807\) | 5.68328 | + | 1.66876i | 0.200061 | + | 0.0587432i | ||||
\(808\) | −5.95204 | + | 6.86902i | −0.209392 | + | 0.241651i | ||||
\(809\) | −11.5071 | − | 7.39517i | −0.404569 | − | 0.260000i | 0.322494 | − | 0.946571i | \(-0.395479\pi\) |
−0.727063 | + | 0.686571i | \(0.759115\pi\) | |||||||
\(810\) | 0.142315 | − | 0.989821i | 0.00500043 | − | 0.0347788i | ||||
\(811\) | −25.5337 | + | 16.4095i | −0.896608 | + | 0.576215i | −0.905782 | − | 0.423743i | \(-0.860716\pi\) |
0.00917467 | + | 0.999958i | \(0.497080\pi\) | |||||||
\(812\) | −16.6545 | − | 36.4682i | −0.584457 | − | 1.27978i | ||||
\(813\) | 1.89400 | + | 2.18580i | 0.0664256 | + | 0.0766593i | ||||
\(814\) | −1.53030 | − | 10.6434i | −0.0536368 | − | 0.373052i | ||||
\(815\) | −3.41302 | + | 7.47346i | −0.119553 | + | 0.261784i | ||||
\(816\) | 2.75694 | − | 0.809510i | 0.0965121 | − | 0.0283385i | ||||
\(817\) | 31.5020 | − | 9.24982i | 1.10212 | − | 0.323610i | ||||
\(818\) | −2.13420 | + | 4.67325i | −0.0746206 | + | 0.163396i | ||||
\(819\) | 1.18527 | + | 8.24373i | 0.0414167 | + | 0.288059i | ||||
\(820\) | −2.36059 | − | 2.72426i | −0.0824353 | − | 0.0951354i | ||||
\(821\) | 0.623806 | + | 1.36594i | 0.0217710 | + | 0.0476718i | 0.920205 | − | 0.391436i | \(-0.128022\pi\) |
−0.898434 | + | 0.439108i | \(0.855294\pi\) | |||||||
\(822\) | 0.559190 | − | 0.359369i | 0.0195040 | − | 0.0125344i | ||||
\(823\) | 5.86736 | − | 40.8084i | 0.204523 | − | 1.42249i | −0.586125 | − | 0.810221i | \(-0.699347\pi\) |
0.790648 | − | 0.612271i | \(-0.209744\pi\) | |||||||
\(824\) | 11.9760 | + | 7.69652i | 0.417205 | + | 0.268121i | ||||
\(825\) | −2.76729 | + | 3.19362i | −0.0963447 | + | 0.111188i | ||||
\(826\) | 21.1337 | + | 6.20542i | 0.735336 | + | 0.215914i | ||||
\(827\) | 14.7465 | 0.512787 | 0.256393 | − | 0.966572i | \(-0.417466\pi\) | ||||
0.256393 | + | 0.966572i | \(0.417466\pi\) | |||||||
\(828\) | 3.40295 | + | 3.37933i | 0.118261 | + | 0.117440i | ||||
\(829\) | −30.0860 | −1.04493 | −0.522466 | − | 0.852660i | \(-0.674988\pi\) | ||||
−0.522466 | + | 0.852660i | \(0.674988\pi\) | |||||||
\(830\) | −14.3398 | − | 4.21053i | −0.497740 | − | 0.146150i | ||||
\(831\) | 3.24791 | − | 3.74828i | 0.112669 | − | 0.130026i | ||||
\(832\) | 1.77618 | + | 1.14148i | 0.0615781 | + | 0.0395738i | ||||
\(833\) | −3.50037 | + | 24.3456i | −0.121281 | + | 0.843525i | ||||
\(834\) | −5.01142 | + | 3.22065i | −0.173531 | + | 0.111522i | ||||
\(835\) | 2.30153 | + | 5.03966i | 0.0796479 | + | 0.174405i | ||||
\(836\) | −7.26140 | − | 8.38011i | −0.251141 | − | 0.289832i | ||||
\(837\) | −1.39585 | − | 9.70834i | −0.0482476 | − | 0.335569i | ||||
\(838\) | −11.8154 | + | 25.8720i | −0.408155 | + | 0.893735i | ||||
\(839\) | −0.0671767 | + | 0.0197249i | −0.00231920 | + | 0.000680978i | −0.282892 | − | 0.959152i | \(-0.591294\pi\) |
0.280573 | + | 0.959833i | \(0.409476\pi\) | |||||||
\(840\) | 3.78484 | − | 1.11133i | 0.130589 | − | 0.0383445i | ||||
\(841\) | 30.8639 | − | 67.5824i | 1.06427 | − | 2.33043i | ||||
\(842\) | −2.30272 | − | 16.0158i | −0.0793569 | − | 0.551939i | ||||
\(843\) | −12.1442 | − | 14.0151i | −0.418267 | − | 0.482706i | ||||
\(844\) | 4.22296 | + | 9.24700i | 0.145360 | + | 0.318295i | ||||
\(845\) | −7.18615 | + | 4.61826i | −0.247211 | + | 0.158873i | ||||
\(846\) | −1.27435 | + | 8.86328i | −0.0438130 | + | 0.304726i | ||||
\(847\) | −22.7549 | − | 14.6237i | −0.781867 | − | 0.502475i | ||||
\(848\) | 6.39814 | − | 7.38384i | 0.219713 | − | 0.253562i | ||||
\(849\) | 14.0844 | + | 4.13556i | 0.483376 | + | 0.141932i | ||||
\(850\) | −2.87333 | −0.0985543 | ||||||||
\(851\) | 11.9335 | + | 2.55249i | 0.409077 | + | 0.0874982i | ||||
\(852\) | −10.6494 | −0.364841 | ||||||||
\(853\) | 4.44074 | + | 1.30392i | 0.152048 | + | 0.0446454i | 0.356871 | − | 0.934154i | \(-0.383844\pi\) |
−0.204823 | + | 0.978799i | \(0.565662\pi\) | |||||||
\(854\) | 2.45672 | − | 2.83521i | 0.0840673 | − | 0.0970188i | ||||
\(855\) | −2.20746 | − | 1.41865i | −0.0754936 | − | 0.0485168i | ||||
\(856\) | 1.50305 | − | 10.4540i | 0.0513733 | − | 0.357309i | ||||
\(857\) | −11.9413 | + | 7.67420i | −0.407907 | + | 0.262146i | −0.728465 | − | 0.685083i | \(-0.759766\pi\) |
0.320558 | + | 0.947229i | \(0.396130\pi\) | |||||||
\(858\) | −3.70637 | − | 8.11581i | −0.126533 | − | 0.277069i | ||||
\(859\) | −24.6993 | − | 28.5045i | −0.842730 | − | 0.972563i | 0.157157 | − | 0.987574i | \(-0.449767\pi\) |
−0.999887 | + | 0.0150110i | \(0.995222\pi\) | |||||||
\(860\) | −1.78066 | − | 12.3848i | −0.0607199 | − | 0.422316i | ||||
\(861\) | 5.90690 | − | 12.9343i | 0.201306 | − | 0.440800i | ||||
\(862\) | 14.8195 | − | 4.35139i | 0.504753 | − | 0.148209i | ||||
\(863\) | −12.3481 | + | 3.62572i | −0.420333 | + | 0.123421i | −0.485057 | − | 0.874482i | \(-0.661201\pi\) |
0.0647245 | + | 0.997903i | \(0.479383\pi\) | |||||||
\(864\) | 0.415415 | − | 0.909632i | 0.0141327 | − | 0.0309463i | ||||
\(865\) | 0.00702088 | + | 0.0488313i | 0.000238717 | + | 0.00166031i | ||||
\(866\) | −7.63058 | − | 8.80616i | −0.259298 | − | 0.299246i | ||||
\(867\) | 3.63238 | + | 7.95381i | 0.123362 | + | 0.270125i | ||||
\(868\) | 32.5477 | − | 20.9172i | 1.10474 | − | 0.709975i | ||||
\(869\) | 2.86825 | − | 19.9491i | 0.0972986 | − | 0.676726i | ||||
\(870\) | 8.55007 | + | 5.49480i | 0.289874 | + | 0.186291i | ||||
\(871\) | 0.691731 | − | 0.798300i | 0.0234384 | − | 0.0270494i | ||||
\(872\) | −14.1328 | − | 4.14975i | −0.478596 | − | 0.140528i | ||||
\(873\) | 14.5371 | 0.492005 | ||||||||
\(874\) | 11.7755 | − | 4.43881i | 0.398312 | − | 0.150145i | ||||
\(875\) | −3.94463 | −0.133353 | ||||||||
\(876\) | 3.44694 | + | 1.01211i | 0.116461 | + | 0.0341961i | ||||
\(877\) | −12.0345 | + | 13.8885i | −0.406376 | + | 0.468982i | −0.921638 | − | 0.388050i | \(-0.873149\pi\) |
0.515263 | + | 0.857032i | \(0.327694\pi\) | |||||||
\(878\) | −28.1474 | − | 18.0893i | −0.949929 | − | 0.610483i | ||||
\(879\) | 1.33581 | − | 9.29078i | 0.0450558 | − | 0.313370i | ||||
\(880\) | −3.55494 | + | 2.28462i | −0.119837 | + | 0.0770146i | ||||
\(881\) | −10.2551 | − | 22.4555i | −0.345503 | − | 0.756546i | −1.00000 | 0.000481287i | \(-0.999847\pi\) | |
0.654497 | − | 0.756065i | \(-0.272880\pi\) | |||||||
\(882\) | 5.60567 | + | 6.46928i | 0.188753 | + | 0.217832i | ||||
\(883\) | −2.42141 | − | 16.8413i | −0.0814870 | − | 0.566755i | −0.989134 | − | 0.147020i | \(-0.953032\pi\) |
0.907647 | − | 0.419735i | \(-0.137877\pi\) | |||||||
\(884\) | 2.52016 | − | 5.51838i | 0.0847622 | − | 0.185603i | ||||
\(885\) | −5.35759 | + | 1.57313i | −0.180094 | + | 0.0528802i | ||||
\(886\) | 3.76346 | − | 1.10505i | 0.126436 | − | 0.0371249i | ||||
\(887\) | 0.769090 | − | 1.68407i | 0.0258235 | − | 0.0565456i | −0.896281 | − | 0.443487i | \(-0.853741\pi\) |
0.922104 | + | 0.386941i | \(0.126468\pi\) | |||||||
\(888\) | −0.362134 | − | 2.51870i | −0.0121524 | − | 0.0845220i | ||||
\(889\) | 18.4030 | + | 21.2382i | 0.617217 | + | 0.712307i | ||||
\(890\) | 7.46287 | + | 16.3414i | 0.250156 | + | 0.547765i | ||||
\(891\) | −3.55494 | + | 2.28462i | −0.119095 | + | 0.0765377i | ||||
\(892\) | 0.205383 | − | 1.42847i | 0.00687672 | − | 0.0478287i | ||||
\(893\) | 19.7665 | + | 12.7032i | 0.661462 | + | 0.425096i | ||||
\(894\) | 4.81984 | − | 5.56239i | 0.161200 | − | 0.186034i | ||||
\(895\) | 7.08876 | + | 2.08145i | 0.236951 | + | 0.0695752i | ||||
\(896\) | 3.94463 | 0.131781 | ||||||||
\(897\) | 10.0973 | − | 0.757529i | 0.337140 | − | 0.0252931i | ||||
\(898\) | 29.1476 | 0.972669 | ||||||||
\(899\) | 95.6472 | + | 28.0846i | 3.19001 | + | 0.936673i | ||||
\(900\) | −0.654861 | + | 0.755750i | −0.0218287 | + | 0.0251917i | ||||
\(901\) | −23.6166 | − | 15.1774i | −0.786782 | − | 0.505634i | ||||
\(902\) | −2.16784 | + | 15.0776i | −0.0721811 | + | 0.502031i | ||||
\(903\) | 41.5206 | − | 26.6837i | 1.38172 | − | 0.887976i | ||||
\(904\) | 0.130585 | + | 0.285941i | 0.00434318 | + | 0.00951024i | ||||
\(905\) | −6.58854 | − | 7.60358i | −0.219011 | − | 0.252752i | ||||
\(906\) | 2.03478 | + | 14.1522i | 0.0676009 | + | 0.470175i | ||||
\(907\) | 1.83929 | − | 4.02748i | 0.0610726 | − | 0.133730i | −0.876635 | − | 0.481156i | \(-0.840217\pi\) |
0.937707 | + | 0.347426i | \(0.112944\pi\) | |||||||
\(908\) | 10.9961 | − | 3.22874i | 0.364917 | − | 0.107149i | ||||
\(909\) | 8.72085 | − | 2.56067i | 0.289252 | − | 0.0849321i | ||||
\(910\) | 3.45978 | − | 7.57587i | 0.114691 | − | 0.251138i | ||||
\(911\) | −2.91605 | − | 20.2816i | −0.0966131 | − | 0.671959i | −0.979362 | − | 0.202114i | \(-0.935219\pi\) |
0.882749 | − | 0.469845i | \(-0.155690\pi\) | |||||||
\(912\) | −1.71836 | − | 1.98310i | −0.0569007 | − | 0.0656669i | ||||
\(913\) | 26.2354 | + | 57.4475i | 0.868265 | + | 1.90124i | ||||
\(914\) | −2.98797 | + | 1.92025i | −0.0988332 | + | 0.0635162i | ||||
\(915\) | −0.135348 | + | 0.941365i | −0.00447446 | + | 0.0311206i | ||||
\(916\) | −7.98510 | − | 5.13171i | −0.263835 | − | 0.169557i | ||||
\(917\) | 56.6008 | − | 65.3207i | 1.86912 | − | 2.15708i | ||||
\(918\) | −2.75694 | − | 0.809510i | −0.0909925 | − | 0.0267178i | ||||
\(919\) | −2.51361 | −0.0829162 | −0.0414581 | − | 0.999140i | \(-0.513200\pi\) | ||||
−0.0414581 | + | 0.999140i | \(0.513200\pi\) | |||||||
\(920\) | −1.03574 | − | 4.68265i | −0.0341474 | − | 0.154382i | ||||
\(921\) | −19.9127 | −0.656146 | ||||||||
\(922\) | 7.82942 | + | 2.29892i | 0.257848 | + | 0.0757110i | ||||
\(923\) | −14.7243 | + | 16.9927i | −0.484655 | + | 0.559322i | ||||
\(924\) | −14.0229 | − | 9.01199i | −0.461320 | − | 0.296473i | ||||
\(925\) | −0.362134 | + | 2.51870i | −0.0119069 | + | 0.0828143i | ||||
\(926\) | 16.2137 | − | 10.4199i | 0.532814 | − | 0.342419i | ||||
\(927\) | −5.91382 | − | 12.9495i | −0.194235 | − | 0.425316i | ||||
\(928\) | 6.65567 | + | 7.68105i | 0.218483 | + | 0.252143i | ||||
\(929\) | −5.72370 | − | 39.8092i | −0.187788 | − | 1.30610i | −0.837718 | − | 0.546103i | \(-0.816111\pi\) |
0.649930 | − | 0.759994i | \(-0.274798\pi\) | |||||||
\(930\) | −4.07446 | + | 8.92182i | −0.133607 | + | 0.292558i | ||||
\(931\) | 21.5519 | − | 6.32822i | 0.706336 | − | 0.207399i | ||||
\(932\) | −16.3948 | + | 4.81394i | −0.537029 | + | 0.157686i | ||||
\(933\) | −2.82313 | + | 6.18179i | −0.0924251 | + | 0.202383i | ||||
\(934\) | 3.31404 | + | 23.0497i | 0.108439 | + | 0.754208i | ||||
\(935\) | 7.95133 | + | 9.17633i | 0.260036 | + | 0.300098i | ||||
\(936\) | −0.877087 | − | 1.92055i | −0.0286685 | − | 0.0627753i | ||||
\(937\) | −4.09235 | + | 2.62999i | −0.133691 | + | 0.0859181i | −0.605777 | − | 0.795635i | \(-0.707138\pi\) |
0.472086 | + | 0.881553i | \(0.343501\pi\) | |||||||
\(938\) | 0.280856 | − | 1.95340i | 0.00917028 | − | 0.0637807i | ||||
\(939\) | −17.7791 | − | 11.4259i | −0.580199 | − | 0.372872i | ||||
\(940\) | 5.86390 | − | 6.76730i | 0.191259 | − | 0.220725i | ||||
\(941\) | −7.80322 | − | 2.29123i | −0.254378 | − | 0.0746921i | 0.152057 | − | 0.988372i | \(-0.451410\pi\) |
−0.406435 | + | 0.913680i | \(0.633228\pi\) | |||||||
\(942\) | −21.8113 | −0.710651 | ||||||||
\(943\) | −15.2017 | − | 8.23218i | −0.495037 | − | 0.268077i | ||||
\(944\) | −5.58377 | −0.181736 | ||||||||
\(945\) | −3.78484 | − | 1.11133i | −0.123121 | − | 0.0361516i | ||||
\(946\) | −34.6246 | + | 39.9589i | −1.12574 | + | 1.29918i | ||||
\(947\) | −23.7596 | − | 15.2693i | −0.772082 | − | 0.496187i | 0.0943152 | − | 0.995542i | \(-0.469934\pi\) |
−0.866397 | + | 0.499355i | \(0.833570\pi\) | |||||||
\(948\) | 0.678751 | − | 4.72082i | 0.0220448 | − | 0.153325i | ||||
\(949\) | 6.38086 | − | 4.10073i | 0.207131 | − | 0.133115i | ||||
\(950\) | 1.09005 | + | 2.38689i | 0.0353660 | + | 0.0774408i | ||||
\(951\) | −5.35859 | − | 6.18414i | −0.173764 | − | 0.200535i | ||||
\(952\) | −1.61303 | − | 11.2188i | −0.0522785 | − | 0.363605i | ||||
\(953\) | 3.78253 | − | 8.28259i | 0.122528 | − | 0.268299i | −0.838422 | − | 0.545022i | \(-0.816521\pi\) |
0.960950 | + | 0.276723i | \(0.0892485\pi\) | |||||||
\(954\) | −9.37446 | + | 2.75259i | −0.303509 | + | 0.0891184i | ||||
\(955\) | 10.3258 | − | 3.03192i | 0.334134 | − | 0.0981107i | ||||
\(956\) | −3.34276 | + | 7.31961i | −0.108112 | + | 0.236733i | ||||
\(957\) | −6.11221 | − | 42.5114i | −0.197580 | − | 1.37420i | ||||
\(958\) | −0.496853 | − | 0.573399i | −0.0160526 | − | 0.0185257i | ||||
\(959\) | −1.08923 | − | 2.38509i | −0.0351731 | − | 0.0770185i | ||||
\(960\) | −0.841254 | + | 0.540641i | −0.0271513 | + | 0.0174491i | ||||
\(961\) | −9.27895 | + | 64.5365i | −0.299321 | + | 2.08182i | ||||
\(962\) | −4.51967 | − | 2.90462i | −0.145720 | − | 0.0936486i | ||||
\(963\) | −6.91629 | + | 7.98182i | −0.222874 | + | 0.257211i | ||||
\(964\) | 2.58153 | + | 0.758004i | 0.0831453 | + | 0.0244137i | ||||
\(965\) | −12.9485 | −0.416827 | ||||||||
\(966\) | 15.1049 | − | 11.3897i | 0.485992 | − | 0.366457i | ||||
\(967\) | −15.7185 | −0.505473 | −0.252736 | − | 0.967535i | \(-0.581331\pi\) | ||||
−0.252736 | + | 0.967535i | \(0.581331\pi\) | |||||||
\(968\) | 6.57935 | + | 1.93187i | 0.211468 | + | 0.0620927i | ||||
\(969\) | −4.93742 | + | 5.69809i | −0.158613 | + | 0.183049i | ||||
\(970\) | −12.2294 | − | 7.85934i | −0.392661 | − | 0.252348i | ||||
\(971\) | −2.11519 | + | 14.7115i | −0.0678798 | + | 0.472114i | 0.927322 | + | 0.374266i | \(0.122105\pi\) |
−0.995201 | + | 0.0978487i | \(0.968804\pi\) | |||||||
\(972\) | −0.841254 | + | 0.540641i | −0.0269832 | + | 0.0173411i | ||||
\(973\) | 9.76163 | + | 21.3750i | 0.312944 | + | 0.685251i | ||||
\(974\) | −17.1590 | − | 19.8026i | −0.549811 | − | 0.634515i | ||||
\(975\) | 0.300477 | + | 2.08986i | 0.00962296 | + | 0.0669291i | ||||
\(976\) | −0.395078 | + | 0.865101i | −0.0126462 | + | 0.0276912i | ||||
\(977\) | 10.5872 | − | 3.10868i | 0.338714 | − | 0.0994555i | −0.107952 | − | 0.994156i | \(-0.534429\pi\) |
0.446666 | + | 0.894701i | \(0.352611\pi\) | |||||||
\(978\) | 7.88312 | − | 2.31469i | 0.252074 | − | 0.0740157i | ||||
\(979\) | 31.5363 | − | 69.0549i | 1.00791 | − | 2.20701i | ||||
\(980\) | −1.21823 | − | 8.47296i | −0.0389149 | − | 0.270659i | ||||
\(981\) | 9.64571 | + | 11.1317i | 0.307964 | + | 0.355409i | ||||
\(982\) | −14.7003 | − | 32.1892i | −0.469106 | − | 1.02720i | ||||
\(983\) | −4.52572 | + | 2.90850i | −0.144348 | + | 0.0927669i | −0.610821 | − | 0.791768i | \(-0.709161\pi\) |
0.466473 | + | 0.884535i | \(0.345524\pi\) | |||||||
\(984\) | −0.513005 | + | 3.56803i | −0.0163540 | + | 0.113744i | ||||
\(985\) | 10.9390 | + | 7.03006i | 0.348545 | + | 0.223996i | ||||
\(986\) | 19.1239 | − | 22.0702i | 0.609030 | − | 0.702858i | ||||
\(987\) | 33.8911 | + | 9.95132i | 1.07877 | + | 0.316754i | ||||
\(988\) | −5.54022 | −0.176258 | ||||||||
\(989\) | −28.9410 | − | 52.5655i | −0.920271 | − | 1.67149i | ||||
\(990\) | 4.22577 | 0.134304 | ||||||||
\(991\) | −25.1963 | − | 7.39831i | −0.800388 | − | 0.235015i | −0.144137 | − | 0.989558i | \(-0.546041\pi\) |
−0.656251 | + | 0.754543i | \(0.727859\pi\) | |||||||
\(992\) | −6.42298 | + | 7.41252i | −0.203930 | + | 0.235348i | ||||
\(993\) | −9.75172 | − | 6.26705i | −0.309462 | − | 0.198879i | ||||
\(994\) | −5.97833 | + | 41.5802i | −0.189621 | + | 1.31884i | ||||
\(995\) | 2.58585 | − | 1.66183i | 0.0819771 | − | 0.0526835i | ||||
\(996\) | 6.20844 | + | 13.5946i | 0.196722 | + | 0.430761i | ||||
\(997\) | −0.452426 | − | 0.522128i | −0.0143285 | − | 0.0165360i | 0.748540 | − | 0.663090i | \(-0.230755\pi\) |
−0.762869 | + | 0.646554i | \(0.776210\pi\) | |||||||
\(998\) | −1.58384 | − | 11.0159i | −0.0501357 | − | 0.348701i | ||||
\(999\) | −1.05706 | + | 2.31465i | −0.0334440 | + | 0.0732322i |
(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 | 690.2.m.e.271.1 | ✓ | 20 | |
23.9 | even | 11 | inner | 690.2.m.e.331.1 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.e.271.1 | ✓ | 20 | 1.1 | even | 1 | trivial | |
690.2.m.e.331.1 | yes | 20 | 23.9 | even | 11 | inner |