Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(97,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.s (of order \(22\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 181.4 | ||
Character | \(\chi\) | \(=\) | 966.181 |
Dual form | 966.2.s.a.475.4 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.142315 | − | 0.989821i | −0.100632 | − | 0.699909i | ||||
\(3\) | −0.909632 | − | 0.415415i | −0.525176 | − | 0.239840i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | −0.296662 | + | 0.342366i | −0.132671 | + | 0.153111i | −0.818198 | − | 0.574937i | \(-0.805027\pi\) |
0.685527 | + | 0.728048i | \(0.259572\pi\) | |||||||
\(6\) | −0.281733 | + | 0.959493i | −0.115017 | + | 0.391711i | ||||
\(7\) | 2.35940 | − | 1.19718i | 0.891769 | − | 0.452491i | ||||
\(8\) | 0.415415 | + | 0.909632i | 0.146871 | + | 0.321603i | ||||
\(9\) | 0.654861 | + | 0.755750i | 0.218287 | + | 0.251917i | ||||
\(10\) | 0.381101 | + | 0.244919i | 0.120515 | + | 0.0774501i | ||||
\(11\) | 1.25631 | + | 0.180630i | 0.378791 | + | 0.0544620i | 0.329081 | − | 0.944302i | \(-0.393261\pi\) |
0.0497103 | + | 0.998764i | \(0.484170\pi\) | |||||||
\(12\) | 0.989821 | + | 0.142315i | 0.285737 | + | 0.0410828i | ||||
\(13\) | −2.29449 | + | 3.57030i | −0.636377 | + | 0.990222i | 0.361938 | + | 0.932202i | \(0.382115\pi\) |
−0.998315 | + | 0.0580203i | \(0.981521\pi\) | |||||||
\(14\) | −1.52077 | − | 2.16501i | −0.406443 | − | 0.578623i | ||||
\(15\) | 0.412077 | − | 0.188189i | 0.106398 | − | 0.0485903i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | 0.531866 | + | 0.156170i | 0.128996 | + | 0.0378768i | 0.345594 | − | 0.938384i | \(-0.387678\pi\) |
−0.216597 | + | 0.976261i | \(0.569496\pi\) | |||||||
\(18\) | 0.654861 | − | 0.755750i | 0.154352 | − | 0.178132i | ||||
\(19\) | −1.02004 | + | 0.299510i | −0.234013 | + | 0.0687124i | −0.396636 | − | 0.917976i | \(-0.629823\pi\) |
0.162623 | + | 0.986688i | \(0.448004\pi\) | |||||||
\(20\) | 0.188189 | − | 0.412077i | 0.0420804 | − | 0.0921433i | ||||
\(21\) | −2.64351 | + | 0.108862i | −0.576861 | + | 0.0237556i | ||||
\(22\) | − | 1.26923i | − | 0.270600i | ||||||
\(23\) | 4.66820 | + | 1.09904i | 0.973387 | + | 0.229165i | ||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | 0.682368 | + | 4.74597i | 0.136474 | + | 0.949195i | ||||
\(26\) | 3.86050 | + | 1.76303i | 0.757106 | + | 0.345759i | ||||
\(27\) | −0.281733 | − | 0.959493i | −0.0542195 | − | 0.184655i | ||||
\(28\) | −1.92654 | + | 1.81340i | −0.364082 | + | 0.342701i | ||||
\(29\) | 8.48246 | + | 2.49067i | 1.57515 | + | 0.462507i | 0.948496 | − | 0.316789i | \(-0.102605\pi\) |
0.626657 | + | 0.779295i | \(0.284423\pi\) | |||||||
\(30\) | −0.244919 | − | 0.381101i | −0.0447158 | − | 0.0695792i | ||||
\(31\) | −4.32419 | + | 1.97479i | −0.776647 | + | 0.354683i | −0.763983 | − | 0.645237i | \(-0.776759\pi\) |
−0.0126646 | + | 0.999920i | \(0.504031\pi\) | |||||||
\(32\) | −0.654861 | − | 0.755750i | −0.115764 | − | 0.133599i | ||||
\(33\) | −1.06774 | − | 0.686196i | −0.185870 | − | 0.119451i | ||||
\(34\) | 0.0788880 | − | 0.548678i | 0.0135292 | − | 0.0940975i | ||||
\(35\) | −0.290071 | + | 1.16294i | −0.0490309 | + | 0.196572i | ||||
\(36\) | −0.841254 | − | 0.540641i | −0.140209 | − | 0.0901068i | ||||
\(37\) | 2.91543 | − | 2.52623i | 0.479294 | − | 0.415310i | −0.381418 | − | 0.924403i | \(-0.624564\pi\) |
0.860712 | + | 0.509092i | \(0.170019\pi\) | |||||||
\(38\) | 0.441629 | + | 0.967032i | 0.0716416 | + | 0.156873i | ||||
\(39\) | 3.57030 | − | 2.29449i | 0.571705 | − | 0.367413i | ||||
\(40\) | −0.434665 | − | 0.127629i | −0.0687266 | − | 0.0201799i | ||||
\(41\) | −0.666300 | − | 0.577352i | −0.104059 | − | 0.0901672i | 0.601278 | − | 0.799040i | \(-0.294659\pi\) |
−0.705336 | + | 0.708873i | \(0.749204\pi\) | |||||||
\(42\) | 0.483964 | + | 2.60111i | 0.0746773 | + | 0.401360i | ||||
\(43\) | 5.19926 | + | 2.37442i | 0.792880 | + | 0.362096i | 0.770327 | − | 0.637649i | \(-0.220093\pi\) |
0.0225533 | + | 0.999746i | \(0.492820\pi\) | |||||||
\(44\) | −1.25631 | + | 0.180630i | −0.189396 | + | 0.0272310i | ||||
\(45\) | −0.453015 | −0.0675315 | ||||||||
\(46\) | 0.423498 | − | 4.77710i | 0.0624413 | − | 0.704344i | ||||
\(47\) | − | 8.72627i | − | 1.27286i | −0.771336 | − | 0.636429i | \(-0.780411\pi\) | ||
0.771336 | − | 0.636429i | \(-0.219589\pi\) | |||||||
\(48\) | −0.989821 | + | 0.142315i | −0.142868 | + | 0.0205414i | ||||
\(49\) | 4.13353 | − | 5.64924i | 0.590504 | − | 0.807035i | ||||
\(50\) | 4.60055 | − | 1.35084i | 0.650617 | − | 0.191038i | ||||
\(51\) | −0.418927 | − | 0.363002i | −0.0586615 | − | 0.0508305i | ||||
\(52\) | 1.19568 | − | 4.07211i | 0.165811 | − | 0.564700i | ||||
\(53\) | −2.10325 | − | 3.27272i | −0.288904 | − | 0.449543i | 0.666218 | − | 0.745757i | \(-0.267912\pi\) |
−0.955122 | + | 0.296214i | \(0.904276\pi\) | |||||||
\(54\) | −0.909632 | + | 0.415415i | −0.123785 | + | 0.0565308i | ||||
\(55\) | −0.434540 | + | 0.376531i | −0.0585934 | + | 0.0507715i | ||||
\(56\) | 2.06912 | + | 1.64886i | 0.276498 | + | 0.220338i | ||||
\(57\) | 1.05228 | + | 0.151295i | 0.139378 | + | 0.0200395i | ||||
\(58\) | 1.25814 | − | 8.75058i | 0.165202 | − | 1.14901i | ||||
\(59\) | 7.59001 | − | 11.8103i | 0.988136 | − | 1.53757i | 0.152486 | − | 0.988306i | \(-0.451272\pi\) |
0.835649 | − | 0.549263i | \(-0.185092\pi\) | |||||||
\(60\) | −0.342366 | + | 0.296662i | −0.0441993 | + | 0.0382989i | ||||
\(61\) | 5.89710 | + | 12.9129i | 0.755047 | + | 1.65332i | 0.757079 | + | 0.653324i | \(0.226626\pi\) |
−0.00203172 | + | 0.999998i | \(0.500647\pi\) | |||||||
\(62\) | 2.57009 | + | 3.99913i | 0.326401 | + | 0.507890i | ||||
\(63\) | 2.44984 | + | 0.999130i | 0.308651 | + | 0.125879i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | −0.541661 | − | 1.84473i | −0.0671848 | − | 0.228810i | ||||
\(66\) | −0.527256 | + | 1.15453i | −0.0649007 | + | 0.142113i | ||||
\(67\) | 8.09534 | − | 1.16393i | 0.989003 | − | 0.142197i | 0.371219 | − | 0.928545i | \(-0.378940\pi\) |
0.617784 | + | 0.786348i | \(0.288031\pi\) | |||||||
\(68\) | −0.554320 | −0.0672212 | ||||||||
\(69\) | −3.78979 | − | 2.93896i | −0.456237 | − | 0.353809i | ||||
\(70\) | 1.19238 | + | 0.121615i | 0.142517 | + | 0.0145358i | ||||
\(71\) | −0.744098 | − | 5.17532i | −0.0883082 | − | 0.614197i | −0.985131 | − | 0.171806i | \(-0.945040\pi\) |
0.896823 | − | 0.442391i | \(-0.145869\pi\) | |||||||
\(72\) | −0.415415 | + | 0.909632i | −0.0489571 | + | 0.107201i | ||||
\(73\) | −2.51679 | − | 8.57139i | −0.294568 | − | 1.00321i | −0.965221 | − | 0.261435i | \(-0.915804\pi\) |
0.670653 | − | 0.741771i | \(-0.266014\pi\) | |||||||
\(74\) | −2.91543 | − | 2.52623i | −0.338912 | − | 0.293669i | ||||
\(75\) | 1.35084 | − | 4.60055i | 0.155982 | − | 0.531226i | ||||
\(76\) | 0.894338 | − | 0.574756i | 0.102588 | − | 0.0659291i | ||||
\(77\) | 3.18038 | − | 1.07785i | 0.362438 | − | 0.122832i | ||||
\(78\) | −2.77924 | − | 3.20742i | −0.314687 | − | 0.363168i | ||||
\(79\) | −5.23113 | + | 8.13980i | −0.588549 | + | 0.915799i | 0.411442 | + | 0.911436i | \(0.365025\pi\) |
−0.999990 | + | 0.00436339i | \(0.998611\pi\) | |||||||
\(80\) | −0.0644708 | + | 0.448404i | −0.00720805 | + | 0.0501331i | ||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | −0.476651 | + | 0.741683i | −0.0526373 | + | 0.0819052i | ||||
\(83\) | 9.54566 | + | 11.0163i | 1.04777 | + | 1.20919i | 0.977340 | + | 0.211677i | \(0.0678925\pi\) |
0.0704325 | + | 0.997517i | \(0.477562\pi\) | |||||||
\(84\) | 2.50576 | − | 0.849215i | 0.273401 | − | 0.0926570i | ||||
\(85\) | −0.211252 | + | 0.135763i | −0.0229135 | + | 0.0147256i | ||||
\(86\) | 1.61032 | − | 5.48426i | 0.173646 | − | 0.591383i | ||||
\(87\) | −6.68125 | − | 5.78934i | −0.716305 | − | 0.620682i | ||||
\(88\) | 0.357583 | + | 1.21781i | 0.0381184 | + | 0.129819i | ||||
\(89\) | 2.67504 | − | 5.85751i | 0.283553 | − | 0.620895i | −0.713240 | − | 0.700920i | \(-0.752773\pi\) |
0.996793 | + | 0.0800253i | \(0.0255001\pi\) | |||||||
\(90\) | 0.0644708 | + | 0.448404i | 0.00679582 | + | 0.0472660i | ||||
\(91\) | −1.13934 | + | 11.1707i | −0.119435 | + | 1.17100i | ||||
\(92\) | −4.78874 | + | 0.260665i | −0.499261 | + | 0.0271762i | ||||
\(93\) | 4.75378 | 0.492944 | ||||||||
\(94\) | −8.63745 | + | 1.24188i | −0.890885 | + | 0.128090i | ||||
\(95\) | 0.200065 | − | 0.438080i | 0.0205262 | − | 0.0449461i | ||||
\(96\) | 0.281733 | + | 0.959493i | 0.0287542 | + | 0.0979278i | ||||
\(97\) | −11.2536 | + | 12.9873i | −1.14263 | + | 1.31866i | −0.201937 | + | 0.979398i | \(0.564724\pi\) |
−0.940691 | + | 0.339265i | \(0.889822\pi\) | |||||||
\(98\) | −6.18000 | − | 3.28749i | −0.624275 | − | 0.332086i | ||||
\(99\) | 0.686196 | + | 1.06774i | 0.0689653 | + | 0.107312i | ||||
\(100\) | −1.99182 | − | 4.36148i | −0.199182 | − | 0.436148i | ||||
\(101\) | 4.74677 | − | 4.11310i | 0.472321 | − | 0.409268i | −0.385907 | − | 0.922538i | \(-0.626111\pi\) |
0.858227 | + | 0.513269i | \(0.171566\pi\) | |||||||
\(102\) | −0.299688 | + | 0.466324i | −0.0296735 | + | 0.0461729i | ||||
\(103\) | 0.144154 | − | 1.00261i | 0.0142039 | − | 0.0987904i | −0.981486 | − | 0.191533i | \(-0.938654\pi\) |
0.995690 | + | 0.0927423i | \(0.0295633\pi\) | |||||||
\(104\) | −4.20082 | − | 0.603987i | −0.411925 | − | 0.0592258i | ||||
\(105\) | 0.746958 | − | 0.937344i | 0.0728957 | − | 0.0914754i | ||||
\(106\) | −2.94009 | + | 2.54760i | −0.285567 | + | 0.247445i | ||||
\(107\) | 13.5169 | − | 6.17295i | 1.30673 | − | 0.596761i | 0.364332 | − | 0.931269i | \(-0.381297\pi\) |
0.942393 | + | 0.334508i | \(0.108570\pi\) | |||||||
\(108\) | 0.540641 | + | 0.841254i | 0.0520232 | + | 0.0809497i | ||||
\(109\) | 3.73296 | − | 12.7133i | 0.357552 | − | 1.21771i | −0.562791 | − | 0.826599i | \(-0.690272\pi\) |
0.920343 | − | 0.391112i | \(-0.127910\pi\) | |||||||
\(110\) | 0.434540 | + | 0.376531i | 0.0414318 | + | 0.0359009i | ||||
\(111\) | −3.70140 | + | 1.08683i | −0.351322 | + | 0.103157i | ||||
\(112\) | 1.33761 | − | 2.28272i | 0.126392 | − | 0.215697i | ||||
\(113\) | −15.1781 | + | 2.18228i | −1.42784 | + | 0.205292i | −0.812495 | − | 0.582969i | \(-0.801891\pi\) |
−0.615342 | + | 0.788260i | \(0.710982\pi\) | |||||||
\(114\) | − | 1.06310i | − | 0.0995686i | ||||||
\(115\) | −1.76115 | + | 1.27219i | −0.164228 | + | 0.118632i | ||||
\(116\) | −8.84056 | −0.820826 | ||||||||
\(117\) | −4.20082 | + | 0.603987i | −0.388366 | + | 0.0558386i | ||||
\(118\) | −12.7703 | − | 5.83198i | −1.17560 | − | 0.536877i | ||||
\(119\) | 1.44185 | − | 0.268271i | 0.132174 | − | 0.0245924i | ||||
\(120\) | 0.342366 | + | 0.296662i | 0.0312536 | + | 0.0270814i | ||||
\(121\) | −9.00874 | − | 2.64520i | −0.818976 | − | 0.240473i | ||||
\(122\) | 11.9422 | − | 7.67477i | 1.08119 | − | 0.694841i | ||||
\(123\) | 0.366247 | + | 0.801969i | 0.0330234 | + | 0.0723111i | ||||
\(124\) | 3.59267 | − | 3.11306i | 0.322631 | − | 0.279561i | ||||
\(125\) | −3.73280 | − | 2.39892i | −0.333871 | − | 0.214566i | ||||
\(126\) | 0.640311 | − | 2.56710i | 0.0570434 | − | 0.228695i | ||||
\(127\) | −2.11766 | + | 14.7287i | −0.187912 | + | 1.30696i | 0.649490 | + | 0.760370i | \(0.274982\pi\) |
−0.837402 | + | 0.546587i | \(0.815927\pi\) | |||||||
\(128\) | 0.841254 | + | 0.540641i | 0.0743570 | + | 0.0477863i | ||||
\(129\) | −3.74304 | − | 4.31970i | −0.329557 | − | 0.380329i | ||||
\(130\) | −1.74886 | + | 0.798680i | −0.153386 | + | 0.0700488i | ||||
\(131\) | 11.5293 | + | 17.9399i | 1.00732 | + | 1.56742i | 0.809449 | + | 0.587191i | \(0.199766\pi\) |
0.197870 | + | 0.980228i | \(0.436598\pi\) | |||||||
\(132\) | 1.21781 | + | 0.357583i | 0.105997 | + | 0.0311236i | ||||
\(133\) | −2.04811 | + | 1.92783i | −0.177594 | + | 0.167164i | ||||
\(134\) | −2.30417 | − | 7.84730i | −0.199050 | − | 0.677903i | ||||
\(135\) | 0.412077 | + | 0.188189i | 0.0354660 | + | 0.0161968i | ||||
\(136\) | 0.0788880 | + | 0.548678i | 0.00676459 | + | 0.0470487i | ||||
\(137\) | 2.02912i | 0.173360i | 0.996236 | + | 0.0866798i | \(0.0276257\pi\) | ||||
−0.996236 | + | 0.0866798i | \(0.972374\pi\) | |||||||
\(138\) | −2.36970 | + | 4.16947i | −0.201723 | + | 0.354929i | ||||
\(139\) | 12.0464i | 1.02176i | 0.859651 | + | 0.510881i | \(0.170681\pi\) | ||||
−0.859651 | + | 0.510881i | \(0.829319\pi\) | |||||||
\(140\) | −0.0493160 | − | 1.19755i | −0.00416796 | − | 0.101212i | ||||
\(141\) | −3.62502 | + | 7.93769i | −0.305282 | + | 0.668475i | ||||
\(142\) | −5.01674 | + | 1.47305i | −0.420996 | + | 0.123615i | ||||
\(143\) | −3.52749 | + | 4.07094i | −0.294984 | + | 0.340429i | ||||
\(144\) | 0.959493 | + | 0.281733i | 0.0799577 | + | 0.0234777i | ||||
\(145\) | −3.36914 | + | 2.16522i | −0.279792 | + | 0.179812i | ||||
\(146\) | −8.12597 | + | 3.71101i | −0.672510 | + | 0.307125i | ||||
\(147\) | −6.10677 | + | 3.42160i | −0.503678 | + | 0.282209i | ||||
\(148\) | −2.08561 | + | 3.24528i | −0.171436 | + | 0.266760i | ||||
\(149\) | −19.7415 | − | 2.83840i | −1.61729 | − | 0.232531i | −0.726572 | − | 0.687091i | \(-0.758887\pi\) |
−0.890716 | + | 0.454560i | \(0.849797\pi\) | |||||||
\(150\) | −4.74597 | − | 0.682368i | −0.387507 | − | 0.0557151i | ||||
\(151\) | 13.2148 | + | 8.49266i | 1.07541 | + | 0.691123i | 0.953492 | − | 0.301418i | \(-0.0974598\pi\) |
0.121916 | + | 0.992540i | \(0.461096\pi\) | |||||||
\(152\) | −0.696184 | − | 0.803439i | −0.0564680 | − | 0.0651675i | ||||
\(153\) | 0.230273 | + | 0.504227i | 0.0186165 | + | 0.0407644i | ||||
\(154\) | −1.51949 | − | 2.99461i | −0.122444 | − | 0.241313i | ||||
\(155\) | 0.606721 | − | 2.06630i | 0.0487330 | − | 0.165969i | ||||
\(156\) | −2.77924 | + | 3.20742i | −0.222518 | + | 0.256799i | ||||
\(157\) | 8.47013 | − | 2.48706i | 0.675990 | − | 0.198489i | 0.0743215 | − | 0.997234i | \(-0.476321\pi\) |
0.601669 | + | 0.798746i | \(0.294503\pi\) | |||||||
\(158\) | 8.80142 | + | 4.01947i | 0.700203 | + | 0.319772i | ||||
\(159\) | 0.553646 | + | 3.85070i | 0.0439070 | + | 0.305380i | ||||
\(160\) | 0.453015 | 0.0358140 | ||||||||
\(161\) | 12.3299 | − | 2.99560i | 0.971732 | − | 0.236086i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −2.44867 | − | 17.0309i | −0.191795 | − | 1.33396i | −0.827255 | − | 0.561827i | \(-0.810099\pi\) |
0.635460 | − | 0.772134i | \(-0.280811\pi\) | |||||||
\(164\) | 0.801969 | + | 0.366247i | 0.0626232 | + | 0.0285991i | ||||
\(165\) | 0.551689 | − | 0.161990i | 0.0429489 | − | 0.0126109i | ||||
\(166\) | 9.54566 | − | 11.0163i | 0.740887 | − | 0.855029i | ||||
\(167\) | 1.56725 | − | 5.33757i | 0.121278 | − | 0.413034i | −0.876366 | − | 0.481646i | \(-0.840039\pi\) |
0.997643 | + | 0.0686125i | \(0.0218572\pi\) | |||||||
\(168\) | −1.19718 | − | 2.35940i | −0.0923643 | − | 0.182032i | ||||
\(169\) | −2.08194 | − | 4.55882i | −0.160149 | − | 0.350678i | ||||
\(170\) | 0.164446 | + | 0.189780i | 0.0126124 | + | 0.0145555i | ||||
\(171\) | −0.894338 | − | 0.574756i | −0.0683918 | − | 0.0439527i | ||||
\(172\) | −5.65761 | − | 0.813441i | −0.431389 | − | 0.0620243i | ||||
\(173\) | −0.710275 | − | 0.102122i | −0.0540012 | − | 0.00776420i | 0.115261 | − | 0.993335i | \(-0.463229\pi\) |
−0.169262 | + | 0.985571i | \(0.554139\pi\) | |||||||
\(174\) | −4.77957 | + | 7.43715i | −0.362338 | + | 0.563809i | ||||
\(175\) | 7.29175 | + | 10.3807i | 0.551205 | + | 0.784709i | ||||
\(176\) | 1.15453 | − | 0.527256i | 0.0870259 | − | 0.0397434i | ||||
\(177\) | −11.8103 | + | 7.59001i | −0.887716 | + | 0.570500i | ||||
\(178\) | −6.17859 | − | 1.81420i | −0.463105 | − | 0.135980i | ||||
\(179\) | −14.6945 | + | 16.9584i | −1.09832 | + | 1.26753i | −0.137454 | + | 0.990508i | \(0.543892\pi\) |
−0.960865 | + | 0.277019i | \(0.910654\pi\) | |||||||
\(180\) | 0.434665 | − | 0.127629i | 0.0323980 | − | 0.00951292i | ||||
\(181\) | −4.50792 | + | 9.87096i | −0.335071 | + | 0.733703i | −0.999912 | − | 0.0132821i | \(-0.995772\pi\) |
0.664841 | + | 0.746985i | \(0.268499\pi\) | |||||||
\(182\) | 11.2191 | − | 0.462011i | 0.831616 | − | 0.0342465i | ||||
\(183\) | − | 14.1957i | − | 1.04938i | ||||||
\(184\) | 0.939521 | + | 4.70290i | 0.0692624 | + | 0.346703i | ||||
\(185\) | 1.74758i | 0.128485i | ||||||||
\(186\) | −0.676533 | − | 4.70539i | −0.0496058 | − | 0.345016i | ||||
\(187\) | 0.639979 | + | 0.292269i | 0.0467999 | + | 0.0213728i | ||||
\(188\) | 2.45847 | + | 8.37280i | 0.179303 | + | 0.610649i | ||||
\(189\) | −1.81340 | − | 1.92654i | −0.131906 | − | 0.140135i | ||||
\(190\) | −0.462093 | − | 0.135683i | −0.0335238 | − | 0.00984347i | ||||
\(191\) | 5.74041 | + | 8.93225i | 0.415361 | + | 0.646315i | 0.984390 | − | 0.176003i | \(-0.0563169\pi\) |
−0.569028 | + | 0.822318i | \(0.692681\pi\) | |||||||
\(192\) | 0.909632 | − | 0.415415i | 0.0656470 | − | 0.0299800i | ||||
\(193\) | −7.31374 | − | 8.44051i | −0.526455 | − | 0.607561i | 0.428780 | − | 0.903409i | \(-0.358943\pi\) |
−0.955235 | + | 0.295848i | \(0.904398\pi\) | |||||||
\(194\) | 14.4567 | + | 9.29075i | 1.03793 | + | 0.667037i | ||||
\(195\) | −0.273615 | + | 1.90304i | −0.0195940 | + | 0.136279i | ||||
\(196\) | −2.37452 | + | 6.58496i | −0.169608 | + | 0.470354i | ||||
\(197\) | 20.6726 | + | 13.2855i | 1.47286 | + | 0.946550i | 0.997779 | + | 0.0666090i | \(0.0212180\pi\) |
0.475082 | + | 0.879941i | \(0.342418\pi\) | |||||||
\(198\) | 0.959218 | − | 0.831167i | 0.0681686 | − | 0.0590685i | ||||
\(199\) | −5.05198 | − | 11.0623i | −0.358125 | − | 0.784185i | −0.999851 | − | 0.0172509i | \(-0.994509\pi\) |
0.641726 | − | 0.766934i | \(-0.278219\pi\) | |||||||
\(200\) | −4.03362 | + | 2.59225i | −0.285220 | + | 0.183300i | ||||
\(201\) | −7.84730 | − | 2.30417i | −0.553506 | − | 0.162524i | ||||
\(202\) | −4.74677 | − | 4.11310i | −0.333981 | − | 0.289396i | ||||
\(203\) | 22.9953 | − | 4.27852i | 1.61395 | − | 0.300293i | ||||
\(204\) | 0.504227 | + | 0.230273i | 0.0353030 | + | 0.0161223i | ||||
\(205\) | 0.395331 | − | 0.0568401i | 0.0276111 | − | 0.00396988i | ||||
\(206\) | −1.01292 | −0.0705737 | ||||||||
\(207\) | 2.22642 | + | 4.24771i | 0.154747 | + | 0.295236i | ||||
\(208\) | 4.24402i | 0.294270i | ||||||||
\(209\) | −1.33558 | + | 0.192028i | −0.0923843 | + | 0.0132829i | ||||
\(210\) | −1.03411 | − | 0.605958i | −0.0713601 | − | 0.0418150i | ||||
\(211\) | −12.0211 | + | 3.52971i | −0.827565 | + | 0.242995i | −0.667971 | − | 0.744188i | \(-0.732837\pi\) |
−0.159595 | + | 0.987183i | \(0.551019\pi\) | |||||||
\(212\) | 2.94009 | + | 2.54760i | 0.201926 | + | 0.174970i | ||||
\(213\) | −1.47305 | + | 5.01674i | −0.100932 | + | 0.343742i | ||||
\(214\) | −8.03377 | − | 12.5008i | −0.549177 | − | 0.854536i | ||||
\(215\) | −2.35535 | + | 1.07565i | −0.160633 | + | 0.0733587i | ||||
\(216\) | 0.755750 | − | 0.654861i | 0.0514222 | − | 0.0445576i | ||||
\(217\) | −7.83831 | + | 9.83614i | −0.532099 | + | 0.667721i | ||||
\(218\) | −13.1151 | − | 1.88567i | −0.888269 | − | 0.127714i | ||||
\(219\) | −1.27133 | + | 8.84232i | −0.0859088 | + | 0.597509i | ||||
\(220\) | 0.310857 | − | 0.483703i | 0.0209580 | − | 0.0326113i | ||||
\(221\) | −1.77794 | + | 1.54059i | −0.119597 | + | 0.103631i | ||||
\(222\) | 1.60253 | + | 3.50906i | 0.107555 | + | 0.235512i | ||||
\(223\) | 1.78563 | + | 2.77849i | 0.119574 | + | 0.186061i | 0.895881 | − | 0.444294i | \(-0.146545\pi\) |
−0.776307 | + | 0.630356i | \(0.782909\pi\) | |||||||
\(224\) | −2.44984 | − | 0.999130i | −0.163687 | − | 0.0667572i | ||||
\(225\) | −3.13991 | + | 3.62365i | −0.209327 | + | 0.241577i | ||||
\(226\) | 4.32014 | + | 14.7130i | 0.287371 | + | 0.978697i | ||||
\(227\) | 6.15857 | − | 13.4854i | 0.408758 | − | 0.895056i | −0.587548 | − | 0.809189i | \(-0.699907\pi\) |
0.996307 | − | 0.0858670i | \(-0.0273660\pi\) | |||||||
\(228\) | −1.05228 | + | 0.151295i | −0.0696890 | + | 0.0100198i | ||||
\(229\) | −19.5216 | −1.29002 | −0.645012 | − | 0.764173i | \(-0.723147\pi\) | ||||
−0.645012 | + | 0.764173i | \(0.723147\pi\) | |||||||
\(230\) | 1.50988 | + | 1.56217i | 0.0995586 | + | 0.103007i | ||||
\(231\) | −3.34073 | − | 0.340733i | −0.219804 | − | 0.0224186i | ||||
\(232\) | 1.25814 | + | 8.75058i | 0.0826011 | + | 0.574504i | ||||
\(233\) | 1.26005 | − | 2.75912i | 0.0825486 | − | 0.180756i | −0.863857 | − | 0.503738i | \(-0.831958\pi\) |
0.946405 | + | 0.322981i | \(0.104685\pi\) | |||||||
\(234\) | 1.19568 | + | 4.07211i | 0.0781640 | + | 0.266202i | ||||
\(235\) | 2.98758 | + | 2.58875i | 0.194888 | + | 0.168872i | ||||
\(236\) | −3.95522 | + | 13.4702i | −0.257463 | + | 0.876838i | ||||
\(237\) | 8.13980 | − | 5.23113i | 0.528737 | − | 0.339799i | ||||
\(238\) | −0.470737 | − | 1.38899i | −0.0305133 | − | 0.0900350i | ||||
\(239\) | 4.76259 | + | 5.49632i | 0.308066 | + | 0.355527i | 0.888579 | − | 0.458724i | \(-0.151693\pi\) |
−0.580513 | + | 0.814251i | \(0.697148\pi\) | |||||||
\(240\) | 0.244919 | − | 0.381101i | 0.0158094 | − | 0.0245999i | ||||
\(241\) | 0.855816 | − | 5.95233i | 0.0551280 | − | 0.383423i | −0.943514 | − | 0.331332i | \(-0.892502\pi\) |
0.998642 | − | 0.0520917i | \(-0.0165888\pi\) | |||||||
\(242\) | −1.33620 | + | 9.29350i | −0.0858944 | + | 0.597409i | ||||
\(243\) | 0.540641 | − | 0.841254i | 0.0346821 | − | 0.0539664i | ||||
\(244\) | −9.29620 | − | 10.7284i | −0.595128 | − | 0.686815i | ||||
\(245\) | 0.707848 | + | 3.09110i | 0.0452228 | + | 0.197483i | ||||
\(246\) | 0.741683 | − | 0.476651i | 0.0472880 | − | 0.0303902i | ||||
\(247\) | 1.27113 | − | 4.32907i | 0.0808800 | − | 0.275452i | ||||
\(248\) | −3.59267 | − | 3.11306i | −0.228134 | − | 0.197680i | ||||
\(249\) | −4.10671 | − | 13.9862i | −0.260252 | − | 0.886337i | ||||
\(250\) | −1.84327 | + | 4.03620i | −0.116579 | + | 0.255272i | ||||
\(251\) | 1.78867 | + | 12.4405i | 0.112900 | + | 0.785235i | 0.965074 | + | 0.261977i | \(0.0843745\pi\) |
−0.852174 | + | 0.523258i | \(0.824716\pi\) | |||||||
\(252\) | −2.63210 | − | 0.268457i | −0.165806 | − | 0.0169112i | ||||
\(253\) | 5.66618 | + | 2.22395i | 0.356230 | + | 0.139818i | ||||
\(254\) | 14.8801 | 0.933662 | ||||||||
\(255\) | 0.248559 | − | 0.0357375i | 0.0155654 | − | 0.00223797i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | −4.47382 | − | 15.2364i | −0.279069 | − | 0.950422i | −0.973082 | − | 0.230460i | \(-0.925977\pi\) |
0.694013 | − | 0.719963i | \(-0.255841\pi\) | |||||||
\(258\) | −3.74304 | + | 4.31970i | −0.233032 | + | 0.268933i | ||||
\(259\) | 3.85431 | − | 9.45068i | 0.239495 | − | 0.587237i | ||||
\(260\) | 1.03944 | + | 1.61740i | 0.0644633 | + | 0.100307i | ||||
\(261\) | 3.67250 | + | 8.04166i | 0.227322 | + | 0.497766i | ||||
\(262\) | 16.1165 | − | 13.9651i | 0.995683 | − | 0.862764i | ||||
\(263\) | −10.8802 | + | 16.9299i | −0.670901 | + | 1.04394i | 0.324286 | + | 0.945959i | \(0.394876\pi\) |
−0.995188 | + | 0.0979842i | \(0.968761\pi\) | |||||||
\(264\) | 0.180630 | − | 1.25631i | 0.0111170 | − | 0.0773204i | ||||
\(265\) | 1.74442 | + | 0.250810i | 0.107159 | + | 0.0154072i | ||||
\(266\) | 2.19969 | + | 1.75291i | 0.134871 | + | 0.107478i | ||||
\(267\) | −4.86660 | + | 4.21693i | −0.297831 | + | 0.258072i | ||||
\(268\) | −7.43950 | + | 3.39751i | −0.454440 | + | 0.207536i | ||||
\(269\) | −5.26357 | − | 8.19027i | −0.320925 | − | 0.499370i | 0.642883 | − | 0.765964i | \(-0.277738\pi\) |
−0.963809 | + | 0.266594i | \(0.914102\pi\) | |||||||
\(270\) | 0.127629 | − | 0.434665i | 0.00776726 | − | 0.0264529i | ||||
\(271\) | −9.55148 | − | 8.27640i | −0.580211 | − | 0.502756i | 0.314586 | − | 0.949229i | \(-0.398134\pi\) |
−0.894797 | + | 0.446473i | \(0.852680\pi\) | |||||||
\(272\) | 0.531866 | − | 0.156170i | 0.0322491 | − | 0.00946920i | ||||
\(273\) | 5.67684 | − | 9.68790i | 0.343578 | − | 0.586339i | ||||
\(274\) | 2.00847 | − | 0.288774i | 0.121336 | − | 0.0174455i | ||||
\(275\) | 6.08566i | 0.366979i | ||||||||
\(276\) | 4.46428 | + | 1.75221i | 0.268718 | + | 0.105470i | ||||
\(277\) | −3.42225 | −0.205623 | −0.102811 | − | 0.994701i | \(-0.532784\pi\) | ||||
−0.102811 | + | 0.994701i | \(0.532784\pi\) | |||||||
\(278\) | 11.9238 | − | 1.71438i | 0.715141 | − | 0.102822i | ||||
\(279\) | −4.32419 | − | 1.97479i | −0.258882 | − | 0.118228i | ||||
\(280\) | −1.17834 | + | 0.219243i | −0.0704195 | + | 0.0131023i | ||||
\(281\) | −15.5389 | − | 13.4646i | −0.926975 | − | 0.803228i | 0.0537637 | − | 0.998554i | \(-0.482878\pi\) |
−0.980738 | + | 0.195325i | \(0.937424\pi\) | |||||||
\(282\) | 8.37280 | + | 2.45847i | 0.498593 | + | 0.146400i | ||||
\(283\) | 2.66602 | − | 1.71335i | 0.158478 | − | 0.101848i | −0.458998 | − | 0.888437i | \(-0.651791\pi\) |
0.617476 | + | 0.786589i | \(0.288155\pi\) | |||||||
\(284\) | 2.17201 | + | 4.75604i | 0.128885 | + | 0.282219i | ||||
\(285\) | −0.363970 | + | 0.315382i | −0.0215597 | + | 0.0186816i | ||||
\(286\) | 4.53152 | + | 2.91223i | 0.267954 | + | 0.172204i | ||||
\(287\) | −2.26326 | − | 0.564524i | −0.133596 | − | 0.0333228i | ||||
\(288\) | 0.142315 | − | 0.989821i | 0.00838598 | − | 0.0583258i | ||||
\(289\) | −14.0428 | − | 9.02477i | −0.826048 | − | 0.530869i | ||||
\(290\) | 2.62266 | + | 3.02671i | 0.154008 | + | 0.177734i | ||||
\(291\) | 15.6317 | − | 7.13878i | 0.916349 | − | 0.418483i | ||||
\(292\) | 4.82968 | + | 7.51513i | 0.282636 | + | 0.439790i | ||||
\(293\) | 9.05405 | + | 2.65851i | 0.528943 | + | 0.155312i | 0.535290 | − | 0.844668i | \(-0.320202\pi\) |
−0.00634727 | + | 0.999980i | \(0.502020\pi\) | |||||||
\(294\) | 4.25586 | + | 5.55767i | 0.248207 | + | 0.324130i | ||||
\(295\) | 1.79178 | + | 6.10223i | 0.104321 | + | 0.355285i | ||||
\(296\) | 3.50906 | + | 1.60253i | 0.203960 | + | 0.0931453i | ||||
\(297\) | −0.180630 | − | 1.25631i | −0.0104812 | − | 0.0728984i | ||||
\(298\) | 19.9445i | 1.15535i | ||||||||
\(299\) | −14.6350 | + | 14.1451i | −0.846366 | + | 0.818034i | ||||
\(300\) | 4.79478i | 0.276827i | ||||||||
\(301\) | 15.1097 | − | 0.622230i | 0.870911 | − | 0.0358647i | ||||
\(302\) | 6.52555 | − | 14.2890i | 0.375503 | − | 0.822237i | ||||
\(303\) | −6.02645 | + | 1.76953i | −0.346211 | + | 0.101657i | ||||
\(304\) | −0.696184 | + | 0.803439i | −0.0399289 | + | 0.0460804i | ||||
\(305\) | −6.17037 | − | 1.81178i | −0.353314 | − | 0.103742i | ||||
\(306\) | 0.466324 | − | 0.299688i | 0.0266579 | − | 0.0171320i | ||||
\(307\) | −0.252316 | + | 0.115229i | −0.0144004 | + | 0.00657646i | −0.422602 | − | 0.906315i | \(-0.638883\pi\) |
0.408202 | + | 0.912892i | \(0.366156\pi\) | |||||||
\(308\) | −2.74789 | + | 1.93020i | −0.156575 | + | 0.109984i | ||||
\(309\) | −0.547627 | + | 0.852125i | −0.0311534 | + | 0.0484757i | ||||
\(310\) | −2.13161 | − | 0.306480i | −0.121068 | − | 0.0174069i | ||||
\(311\) | −15.0812 | − | 2.16834i | −0.855174 | − | 0.122955i | −0.299236 | − | 0.954179i | \(-0.596732\pi\) |
−0.555938 | + | 0.831224i | \(0.687641\pi\) | |||||||
\(312\) | 3.57030 | + | 2.29449i | 0.202128 | + | 0.129900i | ||||
\(313\) | 12.9617 | + | 14.9586i | 0.732637 | + | 0.845509i | 0.992766 | − | 0.120065i | \(-0.0383104\pi\) |
−0.260129 | + | 0.965574i | \(0.583765\pi\) | |||||||
\(314\) | −3.66717 | − | 8.02997i | −0.206950 | − | 0.453158i | ||||
\(315\) | −1.06884 | + | 0.542340i | −0.0602225 | + | 0.0305574i | ||||
\(316\) | 2.72599 | − | 9.28386i | 0.153349 | − | 0.522258i | ||||
\(317\) | 1.72545 | − | 1.99127i | 0.0969108 | − | 0.111841i | −0.705222 | − | 0.708986i | \(-0.749153\pi\) |
0.802133 | + | 0.597145i | \(0.203698\pi\) | |||||||
\(318\) | 3.73271 | − | 1.09602i | 0.209320 | − | 0.0614619i | ||||
\(319\) | 10.2067 | + | 4.66124i | 0.571465 | + | 0.260979i | ||||
\(320\) | −0.0644708 | − | 0.448404i | −0.00360403 | − | 0.0250666i | ||||
\(321\) | −14.8597 | −0.829388 | ||||||||
\(322\) | −4.71983 | − | 11.7781i | −0.263026 | − | 0.656367i | ||||
\(323\) | −0.589299 | −0.0327895 | ||||||||
\(324\) | −0.142315 | − | 0.989821i | −0.00790638 | − | 0.0549901i | ||||
\(325\) | −18.5102 | − | 8.45334i | −1.02676 | − | 0.468907i | ||||
\(326\) | −16.5090 | + | 4.84749i | −0.914351 | + | 0.268478i | ||||
\(327\) | −8.67690 | + | 10.0137i | −0.479834 | + | 0.553758i | ||||
\(328\) | 0.248387 | − | 0.845928i | 0.0137149 | − | 0.0467086i | ||||
\(329\) | −10.4469 | − | 20.5888i | −0.575956 | − | 1.13509i | ||||
\(330\) | −0.238855 | − | 0.523020i | −0.0131485 | − | 0.0287913i | ||||
\(331\) | 0.673466 | + | 0.777222i | 0.0370171 | + | 0.0427200i | 0.773956 | − | 0.633239i | \(-0.218275\pi\) |
−0.736939 | + | 0.675959i | \(0.763730\pi\) | |||||||
\(332\) | −12.2626 | − | 7.88072i | −0.673000 | − | 0.432511i | ||||
\(333\) | 3.81840 | + | 0.549003i | 0.209247 | + | 0.0300852i | ||||
\(334\) | −5.50629 | − | 0.791684i | −0.301291 | − | 0.0433190i | ||||
\(335\) | −2.00309 | + | 3.11687i | −0.109440 | + | 0.170293i | ||||
\(336\) | −2.16501 | + | 1.52077i | −0.118111 | + | 0.0829648i | ||||
\(337\) | 0.646710 | − | 0.295343i | 0.0352285 | − | 0.0160883i | −0.397723 | − | 0.917506i | \(-0.630199\pi\) |
0.432951 | + | 0.901417i | \(0.357472\pi\) | |||||||
\(338\) | −4.21612 | + | 2.70954i | −0.229327 | + | 0.147379i | ||||
\(339\) | 14.7130 | + | 4.32014i | 0.799103 | + | 0.234638i | ||||
\(340\) | 0.164446 | − | 0.189780i | 0.00891832 | − | 0.0102923i | ||||
\(341\) | −5.78922 | + | 1.69987i | −0.313504 | + | 0.0920530i | ||||
\(342\) | −0.441629 | + | 0.967032i | −0.0238805 | + | 0.0522911i | ||||
\(343\) | 2.98950 | − | 18.2774i | 0.161418 | − | 0.986886i | ||||
\(344\) | 5.71579i | 0.308175i | ||||||||
\(345\) | 2.13049 | − | 0.425617i | 0.114702 | − | 0.0229145i | ||||
\(346\) | 0.717579i | 0.0385773i | ||||||||
\(347\) | −2.45231 | − | 17.0562i | −0.131647 | − | 0.915625i | −0.943408 | − | 0.331635i | \(-0.892400\pi\) |
0.811761 | − | 0.583990i | \(-0.198509\pi\) | |||||||
\(348\) | 8.04166 | + | 3.67250i | 0.431078 | + | 0.196867i | ||||
\(349\) | 6.12198 | + | 20.8495i | 0.327702 | + | 1.11605i | 0.944386 | + | 0.328840i | \(0.106658\pi\) |
−0.616684 | + | 0.787211i | \(0.711524\pi\) | |||||||
\(350\) | 9.23734 | − | 8.69487i | 0.493757 | − | 0.464760i | ||||
\(351\) | 4.07211 | + | 1.19568i | 0.217353 | + | 0.0638206i | ||||
\(352\) | −0.686196 | − | 1.06774i | −0.0365744 | − | 0.0569108i | ||||
\(353\) | 2.77769 | − | 1.26853i | 0.147841 | − | 0.0675169i | −0.340120 | − | 0.940382i | \(-0.610468\pi\) |
0.487962 | + | 0.872865i | \(0.337741\pi\) | |||||||
\(354\) | 9.19354 | + | 10.6099i | 0.488631 | + | 0.563910i | ||||
\(355\) | 1.99260 | + | 1.28057i | 0.105756 | + | 0.0679653i | ||||
\(356\) | −0.916426 | + | 6.37389i | −0.0485705 | + | 0.337815i | ||||
\(357\) | −1.42299 | − | 0.354937i | −0.0753129 | − | 0.0187853i | ||||
\(358\) | 18.8770 | + | 12.1315i | 0.997680 | + | 0.641170i | ||||
\(359\) | 17.3321 | − | 15.0184i | 0.914754 | − | 0.792639i | −0.0639417 | − | 0.997954i | \(-0.520367\pi\) |
0.978696 | + | 0.205314i | \(0.0658217\pi\) | |||||||
\(360\) | −0.188189 | − | 0.412077i | −0.00991845 | − | 0.0217184i | ||||
\(361\) | −15.0330 | + | 9.66115i | −0.791213 | + | 0.508482i | ||||
\(362\) | 10.4120 | + | 3.05725i | 0.547244 | + | 0.160685i | ||||
\(363\) | 7.09578 | + | 6.14853i | 0.372432 | + | 0.322714i | ||||
\(364\) | −2.05395 | − | 11.0392i | −0.107656 | − | 0.578610i | ||||
\(365\) | 3.68119 | + | 1.68114i | 0.192682 | + | 0.0879950i | ||||
\(366\) | −14.0512 | + | 2.02026i | −0.734468 | + | 0.105601i | ||||
\(367\) | 17.1739 | 0.896469 | 0.448235 | − | 0.893916i | \(-0.352053\pi\) | ||||
0.448235 | + | 0.893916i | \(0.352053\pi\) | |||||||
\(368\) | 4.52133 | − | 1.59925i | 0.235690 | − | 0.0833667i | ||||
\(369\) | − | 0.881641i | − | 0.0458964i | ||||||
\(370\) | 1.72979 | − | 0.248707i | 0.0899277 | − | 0.0129297i | ||||
\(371\) | −8.88044 | − | 5.20369i | −0.461050 | − | 0.270162i | ||||
\(372\) | −4.56122 | + | 1.33929i | −0.236488 | + | 0.0694392i | ||||
\(373\) | −10.1929 | − | 8.83219i | −0.527768 | − | 0.457314i | 0.349760 | − | 0.936839i | \(-0.386263\pi\) |
−0.877528 | + | 0.479526i | \(0.840809\pi\) | |||||||
\(374\) | 0.198215 | − | 0.675059i | 0.0102495 | − | 0.0349065i | ||||
\(375\) | 2.39892 | + | 3.73280i | 0.123880 | + | 0.192761i | ||||
\(376\) | 7.93769 | − | 3.62502i | 0.409355 | − | 0.186946i | ||||
\(377\) | −28.3554 | + | 24.5701i | −1.46038 | + | 1.26542i | ||||
\(378\) | −1.64886 | + | 2.06912i | −0.0848082 | + | 0.106424i | ||||
\(379\) | −8.33313 | − | 1.19812i | −0.428044 | − | 0.0615434i | −0.0750737 | − | 0.997178i | \(-0.523919\pi\) |
−0.352970 | + | 0.935635i | \(0.614828\pi\) | |||||||
\(380\) | −0.0685390 | + | 0.476700i | −0.00351598 | + | 0.0244542i | ||||
\(381\) | 8.04480 | − | 12.5180i | 0.412148 | − | 0.641314i | ||||
\(382\) | 8.02438 | − | 6.95317i | 0.410563 | − | 0.355755i | ||||
\(383\) | −4.88632 | − | 10.6995i | −0.249679 | − | 0.546721i | 0.742746 | − | 0.669573i | \(-0.233523\pi\) |
−0.992425 | + | 0.122852i | \(0.960796\pi\) | |||||||
\(384\) | −0.540641 | − | 0.841254i | −0.0275895 | − | 0.0429300i | ||||
\(385\) | −0.574479 | + | 1.40861i | −0.0292782 | + | 0.0717894i | ||||
\(386\) | −7.31374 | + | 8.44051i | −0.372260 | + | 0.429611i | ||||
\(387\) | 1.61032 | + | 5.48426i | 0.0818573 | + | 0.278780i | ||||
\(388\) | 7.13878 | − | 15.6317i | 0.362417 | − | 0.793582i | ||||
\(389\) | −24.1657 | + | 3.47450i | −1.22525 | + | 0.176164i | −0.724406 | − | 0.689374i | \(-0.757886\pi\) |
−0.500843 | + | 0.865538i | \(0.666977\pi\) | |||||||
\(390\) | 1.92261 | 0.0973550 | ||||||||
\(391\) | 2.31122 | + | 1.31357i | 0.116884 | + | 0.0664303i | ||||
\(392\) | 6.85586 | + | 1.41321i | 0.346273 | + | 0.0713779i | ||||
\(393\) | −3.03490 | − | 21.1082i | −0.153090 | − | 1.06477i | ||||
\(394\) | 10.2082 | − | 22.3529i | 0.514283 | − | 1.12612i | ||||
\(395\) | −1.23491 | − | 4.20573i | −0.0621353 | − | 0.211613i | ||||
\(396\) | −0.959218 | − | 0.831167i | −0.0482025 | − | 0.0417677i | ||||
\(397\) | 0.506566 | − | 1.72521i | 0.0254238 | − | 0.0865856i | −0.945804 | − | 0.324738i | \(-0.894724\pi\) |
0.971228 | + | 0.238153i | \(0.0765419\pi\) | |||||||
\(398\) | −10.2307 | + | 6.57488i | −0.512820 | + | 0.329569i | ||||
\(399\) | 2.66388 | − | 0.902802i | 0.133361 | − | 0.0451966i | ||||
\(400\) | 3.13991 | + | 3.62365i | 0.156996 | + | 0.181183i | ||||
\(401\) | −4.44905 | + | 6.92286i | −0.222175 | + | 0.345711i | −0.934391 | − | 0.356249i | \(-0.884055\pi\) |
0.712216 | + | 0.701960i | \(0.247692\pi\) | |||||||
\(402\) | −1.16393 | + | 8.09534i | −0.0580518 | + | 0.403759i | ||||
\(403\) | 2.87122 | − | 19.9698i | 0.143026 | − | 0.994765i | ||||
\(404\) | −3.39570 | + | 5.28381i | −0.168942 | + | 0.262879i | ||||
\(405\) | −0.296662 | − | 0.342366i | −0.0147412 | − | 0.0170123i | ||||
\(406\) | −7.50754 | − | 22.1523i | −0.372593 | − | 1.09940i | ||||
\(407\) | 4.11899 | − | 2.64712i | 0.204171 | − | 0.131213i | ||||
\(408\) | 0.156170 | − | 0.531866i | 0.00773157 | − | 0.0263313i | ||||
\(409\) | 25.2968 | + | 21.9198i | 1.25084 | + | 1.08386i | 0.993054 | + | 0.117662i | \(0.0375399\pi\) |
0.257790 | + | 0.966201i | \(0.417006\pi\) | |||||||
\(410\) | −0.112523 | − | 0.383218i | −0.00555712 | − | 0.0189258i | ||||
\(411\) | 0.842927 | − | 1.84575i | 0.0415785 | − | 0.0910443i | ||||
\(412\) | 0.144154 | + | 1.00261i | 0.00710196 | + | 0.0493952i | ||||
\(413\) | 3.76885 | − | 36.9518i | 0.185453 | − | 1.81828i | ||||
\(414\) | 3.88762 | − | 2.80827i | 0.191066 | − | 0.138019i | ||||
\(415\) | −6.60343 | −0.324150 | ||||||||
\(416\) | 4.20082 | − | 0.603987i | 0.205962 | − | 0.0296129i | ||||
\(417\) | 5.00426 | − | 10.9578i | 0.245060 | − | 0.536605i | ||||
\(418\) | 0.380147 | + | 1.29466i | 0.0185936 | + | 0.0633240i | ||||
\(419\) | 6.57181 | − | 7.58428i | 0.321054 | − | 0.370516i | −0.572164 | − | 0.820139i | \(-0.693896\pi\) |
0.893219 | + | 0.449623i | \(0.148442\pi\) | |||||||
\(420\) | −0.452621 | + | 1.10982i | −0.0220857 | + | 0.0541535i | ||||
\(421\) | −17.8263 | − | 27.7383i | −0.868801 | − | 1.35188i | −0.935212 | − | 0.354089i | \(-0.884791\pi\) |
0.0664103 | − | 0.997792i | \(-0.478845\pi\) | |||||||
\(422\) | 5.20456 | + | 11.3964i | 0.253354 | + | 0.554768i | ||||
\(423\) | 6.59488 | − | 5.71449i | 0.320654 | − | 0.277848i | ||||
\(424\) | 2.10325 | − | 3.27272i | 0.102143 | − | 0.158937i | ||||
\(425\) | −0.378250 | + | 2.63079i | −0.0183478 | + | 0.127612i | ||||
\(426\) | 5.17532 | + | 0.744098i | 0.250745 | + | 0.0360517i | ||||
\(427\) | 29.3726 | + | 23.4067i | 1.42144 | + | 1.13273i | ||||
\(428\) | −11.2302 | + | 9.73104i | −0.542833 | + | 0.470368i | ||||
\(429\) | 4.89985 | − | 2.23769i | 0.236567 | − | 0.108036i | ||||
\(430\) | 1.39990 | + | 2.17829i | 0.0675093 | + | 0.105046i | ||||
\(431\) | 1.86565 | − | 6.35384i | 0.0898654 | − | 0.306054i | −0.902279 | − | 0.431153i | \(-0.858107\pi\) |
0.992144 | + | 0.125100i | \(0.0399250\pi\) | |||||||
\(432\) | −0.755750 | − | 0.654861i | −0.0363610 | − | 0.0315070i | ||||
\(433\) | 14.9964 | − | 4.40333i | 0.720680 | − | 0.211611i | 0.0992297 | − | 0.995065i | \(-0.468362\pi\) |
0.621450 | + | 0.783454i | \(0.286544\pi\) | |||||||
\(434\) | 10.8515 | + | 6.35870i | 0.520890 | + | 0.305227i | ||||
\(435\) | 3.96415 | − | 0.569958i | 0.190066 | − | 0.0273274i | ||||
\(436\) | 13.2500i | 0.634560i | ||||||||
\(437\) | −5.09092 | + | 0.277113i | −0.243532 | + | 0.0132561i | ||||
\(438\) | 8.93325 | 0.426847 | ||||||||
\(439\) | −19.8719 | + | 2.85715i | −0.948434 | + | 0.136364i | −0.599136 | − | 0.800647i | \(-0.704489\pi\) |
−0.349298 | + | 0.937012i | \(0.613580\pi\) | |||||||
\(440\) | −0.523020 | − | 0.238855i | −0.0249340 | − | 0.0113870i | ||||
\(441\) | 6.97630 | − | 0.575554i | 0.332205 | − | 0.0274073i | ||||
\(442\) | 1.77794 | + | 1.54059i | 0.0845678 | + | 0.0732784i | ||||
\(443\) | 22.5687 | + | 6.62677i | 1.07227 | + | 0.314848i | 0.769783 | − | 0.638305i | \(-0.220364\pi\) |
0.302489 | + | 0.953153i | \(0.402182\pi\) | |||||||
\(444\) | 3.24528 | − | 2.08561i | 0.154014 | − | 0.0989788i | ||||
\(445\) | 1.21183 | + | 2.65354i | 0.0574464 | + | 0.125790i | ||||
\(446\) | 2.49609 | − | 2.16287i | 0.118193 | − | 0.102415i | ||||
\(447\) | 16.7784 | + | 10.7828i | 0.793591 | + | 0.510010i | ||||
\(448\) | −0.640311 | + | 2.56710i | −0.0302519 | + | 0.121284i | ||||
\(449\) | 2.35522 | − | 16.3809i | 0.111150 | − | 0.773064i | −0.855655 | − | 0.517547i | \(-0.826845\pi\) |
0.966805 | − | 0.255517i | \(-0.0822456\pi\) | |||||||
\(450\) | 4.03362 | + | 2.59225i | 0.190147 | + | 0.122200i | ||||
\(451\) | −0.732791 | − | 0.845685i | −0.0345058 | − | 0.0398218i | ||||
\(452\) | 13.9485 | − | 6.37005i | 0.656081 | − | 0.299622i | ||||
\(453\) | −8.49266 | − | 13.2148i | −0.399020 | − | 0.620887i | ||||
\(454\) | −14.2246 | − | 4.17671i | −0.667592 | − | 0.196023i | ||||
\(455\) | −3.48646 | − | 3.70398i | −0.163448 | − | 0.173645i | ||||
\(456\) | 0.299510 | + | 1.02004i | 0.0140259 | + | 0.0477677i | ||||
\(457\) | 9.86563 | + | 4.50548i | 0.461494 | + | 0.210757i | 0.632574 | − | 0.774500i | \(-0.281998\pi\) |
−0.171080 | + | 0.985257i | \(0.554726\pi\) | |||||||
\(458\) | 2.77821 | + | 19.3229i | 0.129817 | + | 0.902899i | ||||
\(459\) | − | 0.554320i | − | 0.0258734i | ||||||
\(460\) | 1.33139 | − | 1.71683i | 0.0620766 | − | 0.0800477i | ||||
\(461\) | 6.04515i | 0.281551i | 0.990042 | + | 0.140775i | \(0.0449595\pi\) | ||||
−0.990042 | + | 0.140775i | \(0.955040\pi\) | |||||||
\(462\) | 0.138170 | + | 3.35522i | 0.00642826 | + | 0.156099i | ||||
\(463\) | 14.4679 | − | 31.6804i | 0.672382 | − | 1.47231i | −0.198136 | − | 0.980175i | \(-0.563489\pi\) |
0.870518 | − | 0.492137i | \(-0.163784\pi\) | |||||||
\(464\) | 8.48246 | − | 2.49067i | 0.393788 | − | 0.115627i | ||||
\(465\) | −1.41026 | + | 1.62753i | −0.0653995 | + | 0.0754750i | ||||
\(466\) | −2.91036 | − | 0.854560i | −0.134820 | − | 0.0395867i | ||||
\(467\) | −13.8190 | + | 8.88090i | −0.639465 | + | 0.410959i | −0.819803 | − | 0.572645i | \(-0.805917\pi\) |
0.180338 | + | 0.983605i | \(0.442281\pi\) | |||||||
\(468\) | 3.86050 | − | 1.76303i | 0.178452 | − | 0.0814961i | ||||
\(469\) | 17.7067 | − | 12.4377i | 0.817620 | − | 0.574322i | ||||
\(470\) | 2.13723 | − | 3.32559i | 0.0985829 | − | 0.153398i | ||||
\(471\) | −8.73786 | − | 1.25632i | −0.402620 | − | 0.0578880i | ||||
\(472\) | 13.8960 | + | 1.99795i | 0.639616 | + | 0.0919629i | ||||
\(473\) | 6.10298 | + | 3.92215i | 0.280615 | + | 0.180341i | ||||
\(474\) | −6.33630 | − | 7.31248i | −0.291036 | − | 0.335873i | ||||
\(475\) | −2.11751 | − | 4.63670i | −0.0971580 | − | 0.212746i | ||||
\(476\) | −1.30786 | + | 0.663620i | −0.0599458 | + | 0.0304170i | ||||
\(477\) | 1.09602 | − | 3.73271i | 0.0501834 | − | 0.170909i | ||||
\(478\) | 4.76259 | − | 5.49632i | 0.217836 | − | 0.251396i | ||||
\(479\) | −24.9489 | + | 7.32564i | −1.13994 | + | 0.334717i | −0.796608 | − | 0.604496i | \(-0.793374\pi\) |
−0.343334 | + | 0.939213i | \(0.611556\pi\) | |||||||
\(480\) | −0.412077 | − | 0.188189i | −0.0188087 | − | 0.00858963i | ||||
\(481\) | 2.32998 | + | 16.2054i | 0.106238 | + | 0.738901i | ||||
\(482\) | −6.01354 | −0.273909 | ||||||||
\(483\) | −12.4601 | − | 2.39713i | −0.566954 | − | 0.109073i | ||||
\(484\) | 9.38906 | 0.426776 | ||||||||
\(485\) | −1.10791 | − | 7.70569i | −0.0503077 | − | 0.349897i | ||||
\(486\) | −0.909632 | − | 0.415415i | −0.0412617 | − | 0.0188436i | ||||
\(487\) | 19.0013 | − | 5.57930i | 0.861033 | − | 0.252822i | 0.178736 | − | 0.983897i | \(-0.442799\pi\) |
0.682297 | + | 0.731075i | \(0.260981\pi\) | |||||||
\(488\) | −9.29620 | + | 10.7284i | −0.420819 | + | 0.485651i | ||||
\(489\) | −4.84749 | + | 16.5090i | −0.219211 | + | 0.746565i | ||||
\(490\) | 2.95890 | − | 1.14055i | 0.133669 | − | 0.0515249i | ||||
\(491\) | −0.503548 | − | 1.10262i | −0.0227248 | − | 0.0497604i | 0.897929 | − | 0.440140i | \(-0.145071\pi\) |
−0.920654 | + | 0.390379i | \(0.872344\pi\) | |||||||
\(492\) | −0.577352 | − | 0.666300i | −0.0260290 | − | 0.0300391i | ||||
\(493\) | 4.12256 | + | 2.64941i | 0.185671 | + | 0.119323i | ||||
\(494\) | −4.46590 | − | 0.642100i | −0.200931 | − | 0.0288894i | ||||
\(495\) | −0.569127 | − | 0.0818281i | −0.0255804 | − | 0.00367790i | ||||
\(496\) | −2.57009 | + | 3.99913i | −0.115400 | + | 0.179566i | ||||
\(497\) | −7.95140 | − | 11.3198i | −0.356669 | − | 0.507763i | ||||
\(498\) | −13.2594 | + | 6.05535i | −0.594166 | + | 0.271347i | ||||
\(499\) | −19.6650 | + | 12.6379i | −0.880327 | + | 0.565752i | −0.900895 | − | 0.434037i | \(-0.857089\pi\) |
0.0205681 | + | 0.999788i | \(0.493453\pi\) | |||||||
\(500\) | 4.25745 | + | 1.25010i | 0.190399 | + | 0.0559061i | ||||
\(501\) | −3.64293 | + | 4.20417i | −0.162754 | + | 0.187828i | ||||
\(502\) | 12.0593 | − | 3.54093i | 0.538232 | − | 0.158039i | ||||
\(503\) | 0.620290 | − | 1.35824i | 0.0276573 | − | 0.0605611i | −0.895299 | − | 0.445465i | \(-0.853038\pi\) |
0.922957 | + | 0.384904i | \(0.125766\pi\) | |||||||
\(504\) | 0.108862 | + | 2.64351i | 0.00484908 | + | 0.117751i | ||||
\(505\) | 2.84533i | 0.126616i | ||||||||
\(506\) | 1.39493 | − | 5.92501i | 0.0620122 | − | 0.263399i | ||||
\(507\) | 5.01171i | 0.222578i | ||||||||
\(508\) | −2.11766 | − | 14.7287i | −0.0939560 | − | 0.653479i | ||||
\(509\) | −13.7559 | − | 6.28209i | −0.609717 | − | 0.278449i | 0.0865314 | − | 0.996249i | \(-0.472422\pi\) |
−0.696249 | + | 0.717801i | \(0.745149\pi\) | |||||||
\(510\) | −0.0707474 | − | 0.240944i | −0.00313275 | − | 0.0106692i | ||||
\(511\) | −16.1996 | − | 17.2103i | −0.716628 | − | 0.761339i | ||||
\(512\) | −0.959493 | − | 0.281733i | −0.0424040 | − | 0.0124509i | ||||
\(513\) | 0.574756 | + | 0.894338i | 0.0253761 | + | 0.0394860i | ||||
\(514\) | −14.4447 | + | 6.59665i | −0.637126 | + | 0.290966i | ||||
\(515\) | 0.300496 | + | 0.346790i | 0.0132414 | + | 0.0152814i | ||||
\(516\) | 4.80842 | + | 3.09019i | 0.211679 | + | 0.136038i | ||||
\(517\) | 1.57623 | − | 10.9629i | 0.0693223 | − | 0.482147i | ||||
\(518\) | −9.90301 | − | 2.47011i | −0.435113 | − | 0.108530i | ||||
\(519\) | 0.603666 | + | 0.387952i | 0.0264980 | + | 0.0170292i | ||||
\(520\) | 1.45301 | − | 1.25904i | 0.0637187 | − | 0.0552125i | ||||
\(521\) | −6.26485 | − | 13.7181i | −0.274468 | − | 0.601001i | 0.721329 | − | 0.692593i | \(-0.243532\pi\) |
−0.995797 | + | 0.0915917i | \(0.970805\pi\) | |||||||
\(522\) | 7.43715 | − | 4.77957i | 0.325515 | − | 0.209196i | ||||
\(523\) | −32.5362 | − | 9.55348i | −1.42271 | − | 0.417744i | −0.522288 | − | 0.852769i | \(-0.674921\pi\) |
−0.900419 | + | 0.435025i | \(0.856740\pi\) | |||||||
\(524\) | −16.1165 | − | 13.9651i | −0.704054 | − | 0.610066i | ||||
\(525\) | −2.32050 | − | 12.4717i | −0.101275 | − | 0.544312i | ||||
\(526\) | 18.3060 | + | 8.36007i | 0.798180 | + | 0.364516i | ||||
\(527\) | −2.60829 | + | 0.375016i | −0.113619 | + | 0.0163359i | ||||
\(528\) | −1.26923 | −0.0552360 | ||||||||
\(529\) | 20.5842 | + | 10.2611i | 0.894966 | + | 0.446134i | ||||
\(530\) | − | 1.76236i | − | 0.0765521i | ||||||
\(531\) | 13.8960 | − | 1.99795i | 0.603036 | − | 0.0867035i | ||||
\(532\) | 1.42202 | − | 2.42676i | 0.0616522 | − | 0.105213i | ||||
\(533\) | 3.59014 | − | 1.05416i | 0.155506 | − | 0.0456607i | ||||
\(534\) | 4.86660 | + | 4.21693i | 0.210598 | + | 0.182484i | ||||
\(535\) | −1.89653 | + | 6.45900i | −0.0819943 | + | 0.279247i | ||||
\(536\) | 4.42168 | + | 6.88027i | 0.190987 | + | 0.297182i | ||||
\(537\) | 20.4113 | − | 9.32155i | 0.880814 | − | 0.402254i | ||||
\(538\) | −7.35782 | + | 6.37559i | −0.317218 | + | 0.274871i | ||||
\(539\) | 6.21341 | − | 6.35055i | 0.267630 | − | 0.273538i | ||||
\(540\) | −0.448404 | − | 0.0644708i | −0.0192962 | − | 0.00277438i | ||||
\(541\) | −0.586210 | + | 4.07718i | −0.0252032 | + | 0.175292i | −0.998535 | − | 0.0541099i | \(-0.982768\pi\) |
0.973332 | + | 0.229402i | \(0.0736769\pi\) | |||||||
\(542\) | −6.83284 | + | 10.6321i | −0.293496 | + | 0.456688i | ||||
\(543\) | 8.20109 | − | 7.10629i | 0.351943 | − | 0.304960i | ||||
\(544\) | −0.230273 | − | 0.504227i | −0.00987287 | − | 0.0216186i | ||||
\(545\) | 3.24517 | + | 5.04958i | 0.139008 | + | 0.216300i | ||||
\(546\) | −10.3972 | − | 4.24033i | −0.444959 | − | 0.181469i | ||||
\(547\) | 19.3512 | − | 22.3325i | 0.827399 | − | 0.954869i | −0.172145 | − | 0.985072i | \(-0.555070\pi\) |
0.999544 | + | 0.0302026i | \(0.00961526\pi\) | |||||||
\(548\) | −0.571670 | − | 1.94693i | −0.0244205 | − | 0.0831686i | ||||
\(549\) | −5.89710 | + | 12.9129i | −0.251682 | + | 0.551107i | ||||
\(550\) | 6.02372 | − | 0.866080i | 0.256852 | − | 0.0369298i | ||||
\(551\) | −9.39842 | −0.400386 | ||||||||
\(552\) | 1.09904 | − | 4.66820i | 0.0467782 | − | 0.198692i | ||||
\(553\) | −2.59754 | + | 25.4676i | −0.110459 | + | 1.08299i | ||||
\(554\) | 0.487037 | + | 3.38742i | 0.0206922 | + | 0.143917i | ||||
\(555\) | 0.725972 | − | 1.58966i | 0.0308158 | − | 0.0674772i | ||||
\(556\) | −3.39386 | − | 11.5584i | −0.143932 | − | 0.490187i | ||||
\(557\) | 13.3158 | + | 11.5382i | 0.564207 | + | 0.488888i | 0.889631 | − | 0.456680i | \(-0.150962\pi\) |
−0.325424 | + | 0.945568i | \(0.605507\pi\) | |||||||
\(558\) | −1.33929 | + | 4.56122i | −0.0566968 | + | 0.193092i | ||||
\(559\) | −20.4071 | + | 13.1148i | −0.863127 | + | 0.554698i | ||||
\(560\) | 0.384707 | + | 1.13515i | 0.0162569 | + | 0.0479687i | ||||
\(561\) | −0.460733 | − | 0.531714i | −0.0194521 | − | 0.0224490i | ||||
\(562\) | −11.1161 | + | 17.2970i | −0.468904 | + | 0.729629i | ||||
\(563\) | 0.755485 | − | 5.25451i | 0.0318399 | − | 0.221451i | −0.967689 | − | 0.252147i | \(-0.918863\pi\) |
0.999529 | + | 0.0306960i | \(0.00977236\pi\) | |||||||
\(564\) | 1.24188 | − | 8.63745i | 0.0522925 | − | 0.363702i | ||||
\(565\) | 3.75563 | − | 5.84387i | 0.158000 | − | 0.245853i | ||||
\(566\) | −2.07532 | − | 2.39505i | −0.0872322 | − | 0.100671i | ||||
\(567\) | 0.849215 | + | 2.50576i | 0.0356637 | + | 0.105232i | ||||
\(568\) | 4.39852 | − | 2.82676i | 0.184558 | − | 0.118608i | ||||
\(569\) | 6.25165 | − | 21.2912i | 0.262083 | − | 0.892572i | −0.718344 | − | 0.695688i | \(-0.755100\pi\) |
0.980427 | − | 0.196884i | \(-0.0630823\pi\) | |||||||
\(570\) | 0.363970 | + | 0.315382i | 0.0152450 | + | 0.0132099i | ||||
\(571\) | −9.33889 | − | 31.8053i | −0.390820 | − | 1.33101i | −0.886589 | − | 0.462557i | \(-0.846932\pi\) |
0.495769 | − | 0.868454i | \(-0.334886\pi\) | |||||||
\(572\) | 2.23769 | − | 4.89985i | 0.0935623 | − | 0.204873i | ||||
\(573\) | −1.51107 | − | 10.5097i | −0.0631258 | − | 0.439049i | ||||
\(574\) | −0.236683 | + | 2.32056i | −0.00987895 | + | 0.0968584i | ||||
\(575\) | −2.03058 | + | 22.9051i | −0.0846809 | + | 0.955209i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −13.9305 | + | 2.00291i | −0.579935 | + | 0.0833821i | −0.426039 | − | 0.904705i | \(-0.640091\pi\) |
−0.153897 | + | 0.988087i | \(0.549182\pi\) | |||||||
\(578\) | −6.93441 | + | 15.1842i | −0.288433 | + | 0.631581i | ||||
\(579\) | 3.14650 | + | 10.7160i | 0.130764 | + | 0.445342i | ||||
\(580\) | 2.62266 | − | 3.02671i | 0.108900 | − | 0.125677i | ||||
\(581\) | 35.7105 | + | 14.5639i | 1.48152 | + | 0.604214i | ||||
\(582\) | −9.29075 | − | 14.4567i | −0.385114 | − | 0.599249i | ||||
\(583\) | −2.05118 | − | 4.49146i | −0.0849512 | − | 0.186017i | ||||
\(584\) | 6.75130 | − | 5.85004i | 0.279371 | − | 0.242076i | ||||
\(585\) | 1.03944 | − | 1.61740i | 0.0429755 | − | 0.0668712i | ||||
\(586\) | 1.34292 | − | 9.34023i | 0.0554756 | − | 0.385841i | ||||
\(587\) | −7.69186 | − | 1.10592i | −0.317477 | − | 0.0456463i | −0.0182658 | − | 0.999833i | \(-0.505814\pi\) |
−0.299211 | + | 0.954187i | \(0.596724\pi\) | |||||||
\(588\) | 4.89543 | − | 5.00348i | 0.201884 | − | 0.206340i | ||||
\(589\) | 3.81937 | − | 3.30950i | 0.157374 | − | 0.136366i | ||||
\(590\) | 5.78512 | − | 2.64198i | 0.238170 | − | 0.108768i | ||||
\(591\) | −13.2855 | − | 20.6726i | −0.546491 | − | 0.850357i | ||||
\(592\) | 1.08683 | − | 3.70140i | 0.0446684 | − | 0.152127i | ||||
\(593\) | −8.25187 | − | 7.15029i | −0.338864 | − | 0.293627i | 0.468760 | − | 0.883326i | \(-0.344701\pi\) |
−0.807623 | + | 0.589699i | \(0.799247\pi\) | |||||||
\(594\) | −1.21781 | + | 0.357583i | −0.0499675 | + | 0.0146718i | ||||
\(595\) | −0.335894 | + | 0.573226i | −0.0137703 | + | 0.0235000i | ||||
\(596\) | 19.7415 | − | 2.83840i | 0.808644 | − | 0.116265i | ||||
\(597\) | 12.1613i | 0.497728i | ||||||||
\(598\) | 16.0839 | + | 12.4730i | 0.657721 | + | 0.510060i | ||||
\(599\) | −2.23046 | −0.0911343 | −0.0455671 | − | 0.998961i | \(-0.514509\pi\) | ||||
−0.0455671 | + | 0.998961i | \(0.514509\pi\) | |||||||
\(600\) | 4.74597 | − | 0.682368i | 0.193754 | − | 0.0278576i | ||||
\(601\) | 27.5089 | + | 12.5629i | 1.12211 | + | 0.512451i | 0.888039 | − | 0.459768i | \(-0.152067\pi\) |
0.234073 | + | 0.972219i | \(0.424795\pi\) | |||||||
\(602\) | −2.76624 | − | 14.8674i | −0.112743 | − | 0.605950i | ||||
\(603\) | 6.18096 | + | 5.35584i | 0.251708 | + | 0.218106i | ||||
\(604\) | −15.0722 | − | 4.42560i | −0.613279 | − | 0.180075i | ||||
\(605\) | 3.57818 | − | 2.29956i | 0.145474 | − | 0.0934902i | ||||
\(606\) | 2.60917 | + | 5.71328i | 0.105990 | + | 0.232086i | ||||
\(607\) | 8.94337 | − | 7.74948i | 0.363000 | − | 0.314542i | −0.454195 | − | 0.890902i | \(-0.650073\pi\) |
0.817195 | + | 0.576361i | \(0.195528\pi\) | |||||||
\(608\) | 0.894338 | + | 0.574756i | 0.0362702 | + | 0.0233094i | ||||
\(609\) | −22.6946 | − | 5.66071i | −0.919632 | − | 0.229384i | ||||
\(610\) | −0.915208 | + | 6.36541i | −0.0370557 | + | 0.257728i | ||||
\(611\) | 31.1554 | + | 20.0223i | 1.26041 | + | 0.810018i | ||||
\(612\) | −0.363002 | − | 0.418927i | −0.0146735 | − | 0.0169341i | ||||
\(613\) | 34.7353 | − | 15.8631i | 1.40295 | − | 0.640704i | 0.437003 | − | 0.899460i | \(-0.356040\pi\) |
0.965943 | + | 0.258756i | \(0.0833126\pi\) | |||||||
\(614\) | 0.149964 | + | 0.233349i | 0.00605207 | + | 0.00941720i | ||||
\(615\) | −0.383218 | − | 0.112523i | −0.0154529 | − | 0.00453737i | ||||
\(616\) | 2.30162 | + | 2.44522i | 0.0927350 | + | 0.0985207i | ||||
\(617\) | −5.82770 | − | 19.8473i | −0.234615 | − | 0.799024i | −0.989670 | − | 0.143363i | \(-0.954208\pi\) |
0.755056 | − | 0.655661i | \(-0.227610\pi\) | |||||||
\(618\) | 0.921387 | + | 0.420783i | 0.0370636 | + | 0.0169264i | ||||
\(619\) | −5.84403 | − | 40.6461i | −0.234891 | − | 1.63371i | −0.676461 | − | 0.736478i | \(-0.736487\pi\) |
0.441570 | − | 0.897227i | \(-0.354422\pi\) | |||||||
\(620\) | 2.15353i | 0.0864880i | ||||||||
\(621\) | −0.260665 | − | 4.78874i | −0.0104601 | − | 0.192166i | ||||
\(622\) | 15.2362i | 0.610918i | ||||||||
\(623\) | −0.701007 | − | 17.0227i | −0.0280852 | − | 0.682000i | ||||
\(624\) | 1.76303 | − | 3.86050i | 0.0705777 | − | 0.154544i | ||||
\(625\) | −21.0741 | + | 6.18791i | −0.842963 | + | 0.247516i | ||||
\(626\) | 12.9617 | − | 14.9586i | 0.518053 | − | 0.597865i | ||||
\(627\) | 1.29466 | + | 0.380147i | 0.0517038 | + | 0.0151816i | ||||
\(628\) | −7.42635 | + | 4.77262i | −0.296344 | + | 0.190448i | ||||
\(629\) | 1.94514 | − | 0.888316i | 0.0775578 | − | 0.0354195i | ||||
\(630\) | 0.688932 | + | 0.980782i | 0.0274477 | + | 0.0390753i | ||||
\(631\) | −19.3273 | + | 30.0738i | −0.769407 | + | 1.19722i | 0.206374 | + | 0.978473i | \(0.433834\pi\) |
−0.975781 | + | 0.218748i | \(0.929803\pi\) | |||||||
\(632\) | −9.57732 | − | 1.37701i | −0.380965 | − | 0.0547745i | ||||
\(633\) | 12.4011 | + | 1.78300i | 0.492898 | + | 0.0708680i | ||||
\(634\) | −2.21656 | − | 1.42450i | −0.0880309 | − | 0.0565740i | ||||
\(635\) | −4.41436 | − | 5.09445i | −0.175179 | − | 0.202167i | ||||
\(636\) | −1.61609 | − | 3.53873i | −0.0640820 | − | 0.140320i | ||||
\(637\) | 10.6851 | + | 27.7201i | 0.423360 | + | 1.09831i | ||||
\(638\) | 3.16123 | − | 10.7662i | 0.125154 | − | 0.426237i | ||||
\(639\) | 3.42396 | − | 3.95146i | 0.135450 | − | 0.156317i | ||||
\(640\) | −0.434665 | + | 0.127629i | −0.0171816 | + | 0.00504499i | ||||
\(641\) | −26.2645 | − | 11.9946i | −1.03739 | − | 0.473759i | −0.177434 | − | 0.984133i | \(-0.556780\pi\) |
−0.859953 | + | 0.510374i | \(0.829507\pi\) | |||||||
\(642\) | 2.11476 | + | 14.7085i | 0.0834628 | + | 0.580497i | ||||
\(643\) | 26.0200 | 1.02613 | 0.513065 | − | 0.858350i | \(-0.328510\pi\) | ||||
0.513065 | + | 0.858350i | \(0.328510\pi\) | |||||||
\(644\) | −10.9865 | + | 6.34799i | −0.432928 | + | 0.250146i | ||||
\(645\) | 2.58934 | 0.101955 | ||||||||
\(646\) | 0.0838660 | + | 0.583301i | 0.00329966 | + | 0.0229497i | ||||
\(647\) | 36.1860 | + | 16.5256i | 1.42262 | + | 0.649688i | 0.970241 | − | 0.242139i | \(-0.0778492\pi\) |
0.452376 | + | 0.891827i | \(0.350576\pi\) | |||||||
\(648\) | −0.959493 | + | 0.281733i | −0.0376924 | + | 0.0110675i | ||||
\(649\) | 11.6687 | − | 13.4664i | 0.458036 | − | 0.528602i | ||||
\(650\) | −5.73301 | + | 19.5249i | −0.224867 | + | 0.765828i | ||||
\(651\) | 11.2161 | − | 5.69112i | 0.439592 | − | 0.223052i | ||||
\(652\) | 7.14763 | + | 15.6511i | 0.279923 | + | 0.612946i | ||||
\(653\) | 9.07561 | + | 10.4738i | 0.355156 | + | 0.409872i | 0.905011 | − | 0.425388i | \(-0.139862\pi\) |
−0.549855 | + | 0.835260i | \(0.685317\pi\) | |||||||
\(654\) | 11.1466 | + | 7.16349i | 0.435867 | + | 0.280115i | ||||
\(655\) | −9.56233 | − | 1.37485i | −0.373631 | − | 0.0537200i | ||||
\(656\) | −0.872667 | − | 0.125471i | −0.0340719 | − | 0.00489880i | ||||
\(657\) | 4.82968 | − | 7.51513i | 0.188424 | − | 0.293193i | ||||
\(658\) | −18.8924 | + | 13.2707i | −0.736504 | + | 0.517344i | ||||
\(659\) | −0.993414 | + | 0.453677i | −0.0386979 | + | 0.0176727i | −0.434670 | − | 0.900590i | \(-0.643135\pi\) |
0.395972 | + | 0.918263i | \(0.370408\pi\) | |||||||
\(660\) | −0.483703 | + | 0.310857i | −0.0188281 | + | 0.0121001i | ||||
\(661\) | 32.2923 | + | 9.48189i | 1.25603 | + | 0.368803i | 0.841014 | − | 0.541013i | \(-0.181959\pi\) |
0.415012 | + | 0.909816i | \(0.363777\pi\) | |||||||
\(662\) | 0.673466 | − | 0.777222i | 0.0261750 | − | 0.0302076i | ||||
\(663\) | 2.25725 | − | 0.662789i | 0.0876644 | − | 0.0257406i | ||||
\(664\) | −6.05535 | + | 13.2594i | −0.234993 | + | 0.514563i | ||||
\(665\) | −0.0524279 | − | 1.27312i | −0.00203307 | − | 0.0493694i | ||||
\(666\) | − | 3.85767i | − | 0.149482i | ||||||
\(667\) | 36.8605 | + | 20.9495i | 1.42724 | + | 0.811169i | ||||
\(668\) | 5.56291i | 0.215235i | ||||||||
\(669\) | −0.470037 | − | 3.26918i | −0.0181727 | − | 0.126394i | ||||
\(670\) | 3.37021 | + | 1.53912i | 0.130203 | + | 0.0594615i | ||||
\(671\) | 5.07613 | + | 17.2877i | 0.195962 | + | 0.667385i | ||||
\(672\) | 1.81340 | + | 1.92654i | 0.0699536 | + | 0.0743180i | ||||
\(673\) | 4.79489 | + | 1.40791i | 0.184830 | + | 0.0542709i | 0.372838 | − | 0.927897i | \(-0.378385\pi\) |
−0.188008 | + | 0.982168i | \(0.560203\pi\) | |||||||
\(674\) | −0.384373 | − | 0.598096i | −0.0148055 | − | 0.0230378i | ||||
\(675\) | 4.36148 | − | 1.99182i | 0.167874 | − | 0.0766653i | ||||
\(676\) | 3.28197 | + | 3.78760i | 0.126230 | + | 0.145677i | ||||
\(677\) | −24.5257 | − | 15.7617i | −0.942597 | − | 0.605771i | −0.0234673 | − | 0.999725i | \(-0.507471\pi\) |
−0.919130 | + | 0.393954i | \(0.871107\pi\) | |||||||
\(678\) | 2.18228 | − | 15.1781i | 0.0838101 | − | 0.582912i | ||||
\(679\) | −11.0036 | + | 44.1148i | −0.422278 | + | 1.69297i | ||||
\(680\) | −0.211252 | − | 0.135763i | −0.00810114 | − | 0.00520628i | ||||
\(681\) | −11.2041 | + | 9.70837i | −0.429340 | + | 0.372026i | ||||
\(682\) | 2.50646 | + | 5.48838i | 0.0959772 | + | 0.210161i | ||||
\(683\) | −37.4094 | + | 24.0416i | −1.43143 | + | 0.919925i | −0.431590 | + | 0.902070i | \(0.642047\pi\) |
−0.999841 | + | 0.0178550i | \(0.994316\pi\) | |||||||
\(684\) | 1.02004 | + | 0.299510i | 0.0390022 | + | 0.0114521i | ||||
\(685\) | −0.694702 | − | 0.601963i | −0.0265432 | − | 0.0229998i | ||||
\(686\) | −18.5168 | − | 0.357925i | −0.706975 | − | 0.0136656i | ||||
\(687\) | 17.7575 | + | 8.10956i | 0.677490 | + | 0.309399i | ||||
\(688\) | 5.65761 | − | 0.813441i | 0.215694 | − | 0.0310122i | ||||
\(689\) | 16.5105 | 0.628999 | ||||||||
\(690\) | −0.724485 | − | 2.04823i | −0.0275807 | − | 0.0779748i | ||||
\(691\) | − | 17.8319i | − | 0.678356i | −0.940722 | − | 0.339178i | \(-0.889851\pi\) | ||
0.940722 | − | 0.339178i | \(-0.110149\pi\) | |||||||
\(692\) | 0.710275 | − | 0.102122i | 0.0270006 | − | 0.00388210i | ||||
\(693\) | 2.89729 | + | 1.69773i | 0.110059 | + | 0.0644914i | ||||
\(694\) | −16.5336 | + | 4.85470i | −0.627607 | + | 0.184282i | ||||
\(695\) | −4.12428 | − | 3.57371i | −0.156443 | − | 0.135559i | ||||
\(696\) | 2.49067 | − | 8.48246i | 0.0944088 | − | 0.321527i | ||||
\(697\) | −0.264217 | − | 0.411130i | −0.0100079 | − | 0.0155727i | ||||
\(698\) | 19.7661 | − | 9.02687i | 0.748157 | − | 0.341672i | ||||
\(699\) | −2.29236 | + | 1.98634i | −0.0867051 | + | 0.0751304i | ||||
\(700\) | −9.92098 | − | 7.90591i | −0.374978 | − | 0.298815i | ||||
\(701\) | −20.8441 | − | 2.99693i | −0.787270 | − | 0.113192i | −0.263058 | − | 0.964780i | \(-0.584731\pi\) |
−0.524212 | + | 0.851588i | \(0.675640\pi\) | |||||||
\(702\) | 0.603987 | − | 4.20082i | 0.0227960 | − | 0.158550i | ||||
\(703\) | −2.21722 | + | 3.45006i | −0.0836240 | + | 0.130121i | ||||
\(704\) | −0.959218 | + | 0.831167i | −0.0361519 | + | 0.0313258i | ||||
\(705\) | −1.64219 | − | 3.59590i | −0.0618485 | − | 0.135429i | ||||
\(706\) | −1.65092 | − | 2.56888i | −0.0621332 | − | 0.0966812i | ||||
\(707\) | 6.27541 | − | 15.3872i | 0.236011 | − | 0.578694i | ||||
\(708\) | 9.19354 | − | 10.6099i | 0.345514 | − | 0.398745i | ||||
\(709\) | −4.91958 | − | 16.7546i | −0.184759 | − | 0.629230i | −0.998825 | − | 0.0484587i | \(-0.984569\pi\) |
0.814066 | − | 0.580772i | \(-0.197249\pi\) | |||||||
\(710\) | 0.983955 | − | 2.15456i | 0.0369272 | − | 0.0808592i | ||||
\(711\) | −9.57732 | + | 1.37701i | −0.359177 | + | 0.0516419i | ||||
\(712\) | 6.43943 | 0.241328 | ||||||||
\(713\) | −22.3566 | + | 4.46627i | −0.837260 | + | 0.167263i | ||||
\(714\) | −0.148811 | + | 1.45902i | −0.00556912 | + | 0.0546026i | ||||
\(715\) | −0.347280 | − | 2.41539i | −0.0129875 | − | 0.0903303i | ||||
\(716\) | 9.32155 | − | 20.4113i | 0.348363 | − | 0.762808i | ||||
\(717\) | −2.04895 | − | 6.97808i | −0.0765194 | − | 0.260601i | ||||
\(718\) | −17.3321 | − | 15.0184i | −0.646829 | − | 0.560481i | ||||
\(719\) | 0.120786 | − | 0.411360i | 0.00450456 | − | 0.0153411i | −0.957210 | − | 0.289394i | \(-0.906546\pi\) |
0.961715 | + | 0.274053i | \(0.0883644\pi\) | |||||||
\(720\) | −0.381101 | + | 0.244919i | −0.0142028 | + | 0.00912758i | ||||
\(721\) | −0.860189 | − | 2.53814i | −0.0320351 | − | 0.0945253i | ||||
\(722\) | 11.7022 | + | 13.5051i | 0.435512 | + | 0.502608i | ||||
\(723\) | −3.25117 | + | 5.05891i | −0.120912 | + | 0.188143i | ||||
\(724\) | 1.54434 | − | 10.7411i | 0.0573951 | − | 0.399192i | ||||
\(725\) | −6.03252 | + | 41.9571i | −0.224042 | + | 1.55825i | ||||
\(726\) | 5.07611 | − | 7.89858i | 0.188392 | − | 0.293144i | ||||
\(727\) | 24.8795 | + | 28.7125i | 0.922729 | + | 1.06489i | 0.997706 | + | 0.0677010i | \(0.0215664\pi\) |
−0.0749764 | + | 0.997185i | \(0.523888\pi\) | |||||||
\(728\) | −10.6345 | + | 3.60409i | −0.394141 | + | 0.133576i | ||||
\(729\) | −0.841254 | + | 0.540641i | −0.0311575 | + | 0.0200237i | ||||
\(730\) | 1.14014 | − | 3.88297i | 0.0421986 | − | 0.143715i | ||||
\(731\) | 2.39450 | + | 2.07484i | 0.0885637 | + | 0.0767409i | ||||
\(732\) | 3.99939 | + | 13.6207i | 0.147822 | + | 0.503434i | ||||
\(733\) | −16.3608 | + | 35.8251i | −0.604299 | + | 1.32323i | 0.322107 | + | 0.946703i | \(0.395609\pi\) |
−0.926406 | + | 0.376526i | \(0.877118\pi\) | |||||||
\(734\) | −2.44410 | − | 16.9991i | −0.0902133 | − | 0.627447i | ||||
\(735\) | 0.640206 | − | 3.10581i | 0.0236144 | − | 0.114560i | ||||
\(736\) | −2.22642 | − | 4.24771i | −0.0820671 | − | 0.156573i | ||||
\(737\) | 10.3805 | 0.382370 | ||||||||
\(738\) | −0.872667 | + | 0.125471i | −0.0321233 | + | 0.00461863i | ||||
\(739\) | 1.83604 | − | 4.02036i | 0.0675398 | − | 0.147892i | −0.872852 | − | 0.487986i | \(-0.837732\pi\) |
0.940391 | + | 0.340094i | \(0.110459\pi\) | |||||||
\(740\) | −0.492351 | − | 1.67679i | −0.0180992 | − | 0.0616401i | ||||
\(741\) | −2.95462 | + | 3.40981i | −0.108541 | + | 0.125263i | ||||
\(742\) | −3.88691 | + | 9.53061i | −0.142693 | + | 0.349880i | ||||
\(743\) | −4.13936 | − | 6.44097i | −0.151858 | − | 0.236296i | 0.756987 | − | 0.653430i | \(-0.226671\pi\) |
−0.908845 | + | 0.417134i | \(0.863034\pi\) | |||||||
\(744\) | 1.97479 | + | 4.32419i | 0.0723993 | + | 0.158532i | ||||
\(745\) | 6.82833 | − | 5.91678i | 0.250171 | − | 0.216774i | ||||
\(746\) | −7.29170 | + | 11.3461i | −0.266968 | + | 0.415410i | ||||
\(747\) | −2.07447 | + | 14.4283i | −0.0759009 | + | 0.527902i | ||||
\(748\) | −0.696397 | − | 0.100127i | −0.0254628 | − | 0.00366100i | ||||
\(749\) | 24.5016 | − | 30.7466i | 0.895268 | − | 1.12345i | ||||
\(750\) | 3.35340 | − | 2.90574i | 0.122449 | − | 0.106103i | ||||
\(751\) | 12.7150 | − | 5.80673i | 0.463976 | − | 0.211891i | −0.169690 | − | 0.985497i | \(-0.554277\pi\) |
0.633666 | + | 0.773607i | \(0.281549\pi\) | |||||||
\(752\) | −4.71778 | − | 7.34101i | −0.172040 | − | 0.267699i | ||||
\(753\) | 3.54093 | − | 12.0593i | 0.129038 | − | 0.439465i | ||||
\(754\) | 28.3554 | + | 24.5701i | 1.03264 | + | 0.894789i | ||||
\(755\) | −6.82794 | + | 2.00486i | −0.248494 | + | 0.0729644i | ||||
\(756\) | 2.28272 | + | 1.33761i | 0.0830216 | + | 0.0486484i | ||||
\(757\) | 11.1114 | − | 1.59757i | 0.403849 | − | 0.0580647i | 0.0626025 | − | 0.998039i | \(-0.480060\pi\) |
0.341247 | + | 0.939974i | \(0.389151\pi\) | |||||||
\(758\) | 8.41882i | 0.305785i | ||||||||
\(759\) | −4.23028 | − | 4.37679i | −0.153549 | − | 0.158867i | ||||
\(760\) | 0.481602 | 0.0174695 | ||||||||
\(761\) | −21.9657 | + | 3.15819i | −0.796256 | + | 0.114484i | −0.528423 | − | 0.848981i | \(-0.677217\pi\) |
−0.267833 | + | 0.963465i | \(0.586307\pi\) | |||||||
\(762\) | −13.5354 | − | 6.18142i | −0.490337 | − | 0.223929i | ||||
\(763\) | −6.41253 | − | 34.4647i | −0.232149 | − | 1.24771i | ||||
\(764\) | −8.02438 | − | 6.95317i | −0.290312 | − | 0.251557i | ||||
\(765\) | −0.240944 | − | 0.0707474i | −0.00871133 | − | 0.00255788i | ||||
\(766\) | −9.89524 | + | 6.35928i | −0.357530 | + | 0.229770i | ||||
\(767\) | 24.7510 | + | 54.1972i | 0.893708 | + | 1.95695i | ||||
\(768\) | −0.755750 | + | 0.654861i | −0.0272708 | + | 0.0236303i | ||||
\(769\) | 7.94531 | + | 5.10614i | 0.286515 | + | 0.184132i | 0.676002 | − | 0.736900i | \(-0.263711\pi\) |
−0.389487 | + | 0.921032i | \(0.627348\pi\) | |||||||
\(770\) | 1.47603 | + | 0.368166i | 0.0531924 | + | 0.0132678i | ||||
\(771\) | −2.25991 | + | 15.7180i | −0.0813888 | + | 0.566071i | ||||
\(772\) | 9.39545 | + | 6.03809i | 0.338150 | + | 0.217316i | ||||
\(773\) | 0.472249 | + | 0.545005i | 0.0169856 | + | 0.0196025i | 0.764179 | − | 0.645004i | \(-0.223144\pi\) |
−0.747193 | + | 0.664607i | \(0.768599\pi\) | |||||||
\(774\) | 5.19926 | − | 2.37442i | 0.186884 | − | 0.0853469i | ||||
\(775\) | −12.3230 | − | 19.1749i | −0.442655 | − | 0.688784i | ||||
\(776\) | −16.4886 | − | 4.84149i | −0.591906 | − | 0.173799i | ||||
\(777\) | −7.43196 | + | 6.99551i | −0.266620 | + | 0.250962i | ||||
\(778\) | 6.87827 | + | 23.4253i | 0.246598 | + | 0.839836i | ||||
\(779\) | 0.852574 | + | 0.389358i | 0.0305466 | + | 0.0139502i | ||||
\(780\) | −0.273615 | − | 1.90304i | −0.00979700 | − | 0.0681397i | ||||
\(781\) | − | 6.63620i | − | 0.237462i | ||||||
\(782\) | 0.971283 | − | 2.47464i | 0.0347330 | − | 0.0884929i | ||||
\(783\) | − | 8.84056i | − | 0.315936i | ||||||
\(784\) | 0.423135 | − | 6.98720i | 0.0151120 | − | 0.249543i | ||||
\(785\) | −1.66128 | + | 3.63770i | −0.0592937 | + | 0.129835i | ||||
\(786\) | −20.4614 | + | 6.00801i | −0.729834 | + | 0.214299i | ||||
\(787\) | −13.0971 | + | 15.1148i | −0.466861 | + | 0.538786i | −0.939536 | − | 0.342451i | \(-0.888743\pi\) |
0.472675 | + | 0.881237i | \(0.343288\pi\) | |||||||
\(788\) | −23.5782 | − | 6.92317i | −0.839937 | − | 0.246628i | ||||
\(789\) | 16.9299 | − | 10.8802i | 0.602721 | − | 0.387345i | ||||
\(790\) | −3.98718 | + | 1.82088i | −0.141857 | + | 0.0647841i | ||||
\(791\) | −33.1986 | + | 23.3198i | −1.18041 | + | 0.829156i | ||||
\(792\) | −0.686196 | + | 1.06774i | −0.0243829 | + | 0.0379406i | ||||
\(793\) | −59.6336 | − | 8.57402i | −2.11765 | − | 0.304472i | ||||
\(794\) | −1.77974 | − | 0.255888i | −0.0631606 | − | 0.00908112i | ||||
\(795\) | −1.48259 | − | 0.952805i | −0.0525822 | − | 0.0337925i | ||||
\(796\) | 7.96395 | + | 9.19088i | 0.282275 | + | 0.325762i | ||||
\(797\) | 1.04313 | + | 2.28414i | 0.0369496 | + | 0.0809084i | 0.927207 | − | 0.374550i | \(-0.122203\pi\) |
−0.890257 | + | 0.455458i | \(0.849475\pi\) | |||||||
\(798\) | −1.27272 | − | 2.50828i | −0.0450539 | − | 0.0887922i | ||||
\(799\) | 1.36278 | − | 4.64121i | 0.0482117 | − | 0.164194i | ||||
\(800\) | 3.13991 | − | 3.62365i | 0.111013 | − | 0.128115i | ||||
\(801\) | 6.17859 | − | 1.81420i | 0.218310 | − | 0.0641015i | ||||
\(802\) | 7.48556 | + | 3.41854i | 0.264324 | + | 0.120713i | ||||
\(803\) | −1.61361 | − | 11.2229i | −0.0569431 | − | 0.396048i | ||||
\(804\) | 8.17859 | 0.288437 | ||||||||
\(805\) | −2.63222 | + | 5.11002i | −0.0927736 | + | 0.180105i | ||||
\(806\) | −20.1751 | −0.710639 | ||||||||
\(807\) | 1.38555 | + | 9.63670i | 0.0487736 | + | 0.339228i | ||||
\(808\) | 5.71328 | + | 2.60917i | 0.200993 | + | 0.0917902i | ||||
\(809\) | −49.2801 | + | 14.4699i | −1.73259 | + | 0.508736i | −0.987418 | − | 0.158132i | \(-0.949453\pi\) |
−0.745176 | + | 0.666867i | \(0.767635\pi\) | |||||||
\(810\) | −0.296662 | + | 0.342366i | −0.0104236 | + | 0.0120295i | ||||
\(811\) | 12.2025 | − | 41.5578i | 0.428487 | − | 1.45929i | −0.408848 | − | 0.912602i | \(-0.634069\pi\) |
0.837335 | − | 0.546690i | \(-0.184112\pi\) | |||||||
\(812\) | −20.8584 | + | 10.5837i | −0.731987 | + | 0.371416i | ||||
\(813\) | 5.25019 | + | 11.4963i | 0.184132 | + | 0.403193i | ||||
\(814\) | −3.20637 | − | 3.70034i | −0.112383 | − | 0.129697i | ||||
\(815\) | 6.55722 | + | 4.21407i | 0.229689 | + | 0.147612i | ||||
\(816\) | −0.548678 | − | 0.0788880i | −0.0192076 | − | 0.00276163i | ||||
\(817\) | −6.01461 | − | 0.864771i | −0.210425 | − | 0.0302545i | ||||
\(818\) | 18.0965 | − | 28.1588i | 0.632731 | − | 0.984549i | ||||
\(819\) | −9.18834 | + | 6.45418i | −0.321067 | + | 0.225527i | ||||
\(820\) | −0.363304 | + | 0.165915i | −0.0126871 | + | 0.00579402i | ||||
\(821\) | −3.66119 | + | 2.35290i | −0.127776 | + | 0.0821169i | −0.602968 | − | 0.797766i | \(-0.706015\pi\) |
0.475191 | + | 0.879882i | \(0.342379\pi\) | |||||||
\(822\) | −1.94693 | − | 0.571670i | −0.0679069 | − | 0.0199393i | ||||
\(823\) | −16.7330 | + | 19.3109i | −0.583275 | + | 0.673135i | −0.968305 | − | 0.249769i | \(-0.919645\pi\) |
0.385031 | + | 0.922904i | \(0.374191\pi\) | |||||||
\(824\) | 0.971892 | − | 0.285373i | 0.0338575 | − | 0.00994145i | ||||
\(825\) | 2.52808 | − | 5.53571i | 0.0880163 | − | 0.192729i | ||||
\(826\) | −37.1120 | + | 1.52830i | −1.29129 | + | 0.0531763i | ||||
\(827\) | 19.4831i | 0.677495i | 0.940877 | + | 0.338747i | \(0.110003\pi\) | ||||
−0.940877 | + | 0.338747i | \(0.889997\pi\) | |||||||
\(828\) | −3.33296 | − | 3.44839i | −0.115828 | − | 0.119840i | ||||
\(829\) | 23.3810i | 0.812055i | 0.913861 | + | 0.406027i | \(0.133086\pi\) | ||||
−0.913861 | + | 0.406027i | \(0.866914\pi\) | |||||||
\(830\) | 0.939767 | + | 6.53622i | 0.0326198 | + | 0.226876i | ||||
\(831\) | 3.11299 | + | 1.42165i | 0.107988 | + | 0.0493166i | ||||
\(832\) | −1.19568 | − | 4.07211i | −0.0414527 | − | 0.141175i | ||||
\(833\) | 3.08073 | − | 2.35911i | 0.106741 | − | 0.0817382i | ||||
\(834\) | −11.5584 | − | 3.39386i | −0.400236 | − | 0.117520i | ||||
\(835\) | 1.36246 | + | 2.12003i | 0.0471499 | + | 0.0733666i | ||||
\(836\) | 1.22738 | − | 0.560527i | 0.0424499 | − | 0.0193862i | ||||
\(837\) | 3.11306 | + | 3.59267i | 0.107603 | + | 0.124181i | ||||
\(838\) | −8.44235 | − | 5.42557i | −0.291636 | − | 0.187423i | ||||
\(839\) | 2.52903 | − | 17.5898i | 0.0873118 | − | 0.607267i | −0.898445 | − | 0.439087i | \(-0.855302\pi\) |
0.985756 | − | 0.168180i | \(-0.0537889\pi\) | |||||||
\(840\) | 1.16294 | + | 0.290071i | 0.0401251 | + | 0.0100084i | ||||
\(841\) | 41.3523 | + | 26.5755i | 1.42594 | + | 0.916396i | ||||
\(842\) | −24.9190 | + | 21.5924i | −0.858766 | + | 0.744125i | ||||
\(843\) | 8.54133 | + | 18.7029i | 0.294179 | + | 0.644162i | ||||
\(844\) | 10.5397 | − | 6.77346i | 0.362792 | − | 0.233152i | ||||
\(845\) | 2.17842 | + | 0.639641i | 0.0749398 | + | 0.0220043i | ||||
\(846\) | −6.59488 | − | 5.71449i | −0.226736 | − | 0.196468i | ||||
\(847\) | −24.4220 | + | 4.54397i | −0.839150 | + | 0.156133i | ||||
\(848\) | −3.53873 | − | 1.61609i | −0.121521 | − | 0.0554966i | ||||
\(849\) | −3.13684 | + | 0.451010i | −0.107656 | + | 0.0154786i | ||||
\(850\) | 2.65784 | 0.0911632 | ||||||||
\(851\) | 16.3862 | − | 8.58880i | 0.561713 | − | 0.294420i | ||||
\(852\) | − | 5.22853i | − | 0.179127i | ||||||
\(853\) | −53.2849 | + | 7.66122i | −1.82444 | + | 0.262315i | −0.967459 | − | 0.253030i | \(-0.918573\pi\) |
−0.856983 | + | 0.515345i | \(0.827664\pi\) | |||||||
\(854\) | 18.9883 | − | 32.4048i | 0.649766 | − | 1.10887i | ||||
\(855\) | 0.462093 | − | 0.135683i | 0.0158033 | − | 0.00464025i | ||||
\(856\) | 11.2302 | + | 9.73104i | 0.383841 | + | 0.332600i | ||||
\(857\) | −6.04889 | + | 20.6006i | −0.206626 | + | 0.703705i | 0.789338 | + | 0.613958i | \(0.210424\pi\) |
−0.995965 | + | 0.0897462i | \(0.971394\pi\) | |||||||
\(858\) | −2.91223 | − | 4.53152i | −0.0994219 | − | 0.154704i | ||||
\(859\) | 36.4351 | − | 16.6394i | 1.24315 | − | 0.567728i | 0.318275 | − | 0.947998i | \(-0.396896\pi\) |
0.924875 | + | 0.380271i | \(0.124169\pi\) | |||||||
\(860\) | 1.95689 | − | 1.69566i | 0.0667294 | − | 0.0578214i | ||||
\(861\) | 1.82422 | + | 1.45370i | 0.0621693 | + | 0.0495420i | ||||
\(862\) | −6.55467 | − | 0.942420i | −0.223253 | − | 0.0320990i | ||||
\(863\) | 3.75287 | − | 26.1018i | 0.127749 | − | 0.888515i | −0.820649 | − | 0.571433i | \(-0.806388\pi\) |
0.948398 | − | 0.317082i | \(-0.102703\pi\) | |||||||
\(864\) | −0.540641 | + | 0.841254i | −0.0183930 | + | 0.0286200i | ||||
\(865\) | 0.245675 | − | 0.212878i | 0.00835319 | − | 0.00723808i | ||||
\(866\) | −6.49272 | − | 14.2171i | −0.220632 | − | 0.483116i | ||||
\(867\) | 9.02477 | + | 14.0428i | 0.306497 | + | 0.476919i | ||||
\(868\) | 4.74964 | − | 11.6460i | 0.161213 | − | 0.395292i | ||||
\(869\) | −8.04221 | + | 9.28120i | −0.272813 | + | 0.314843i | ||||
\(870\) | −1.12831 | − | 3.84268i | −0.0382534 | − | 0.130279i | ||||
\(871\) | −14.4191 | + | 31.5734i | −0.488572 | + | 1.06982i | ||||
\(872\) | 13.1151 | − | 1.88567i | 0.444134 | − | 0.0638569i | ||||
\(873\) | −17.1847 | −0.581614 | ||||||||
\(874\) | 0.998806 | + | 4.99967i | 0.0337851 | + | 0.169116i | ||||
\(875\) | −11.6791 | − | 1.19119i | −0.394825 | − | 0.0402697i | ||||
\(876\) | −1.27133 | − | 8.84232i | −0.0429544 | − | 0.298754i | ||||
\(877\) | −3.84605 | + | 8.42168i | −0.129872 | + | 0.284380i | −0.963386 | − | 0.268118i | \(-0.913598\pi\) |
0.833514 | + | 0.552498i | \(0.186325\pi\) | |||||||
\(878\) | 5.65613 | + | 19.2630i | 0.190885 | + | 0.650095i | ||||
\(879\) | −7.13147 | − | 6.17945i | −0.240538 | − | 0.208428i | ||||
\(880\) | −0.161990 | + | 0.551689i | −0.00546070 | + | 0.0185974i | ||||
\(881\) | 7.09441 | − | 4.55930i | 0.239017 | − | 0.153607i | −0.415649 | − | 0.909525i | \(-0.636446\pi\) |
0.654666 | + | 0.755918i | \(0.272809\pi\) | |||||||
\(882\) | −1.56253 | − | 6.82338i | −0.0526130 | − | 0.229755i | ||||
\(883\) | −5.63124 | − | 6.49880i | −0.189506 | − | 0.218702i | 0.653043 | − | 0.757320i | \(-0.273492\pi\) |
−0.842550 | + | 0.538618i | \(0.818946\pi\) | |||||||
\(884\) | 1.27188 | − | 1.97909i | 0.0427780 | − | 0.0665639i | ||||
\(885\) | 0.905100 | − | 6.29511i | 0.0304246 | − | 0.211608i | ||||
\(886\) | 3.34746 | − | 23.2821i | 0.112460 | − | 0.782177i | ||||
\(887\) | 9.12412 | − | 14.1974i | 0.306358 | − | 0.476702i | −0.653602 | − | 0.756838i | \(-0.726743\pi\) |
0.959960 | + | 0.280136i | \(0.0903795\pi\) | |||||||
\(888\) | −2.52623 | − | 2.91543i | −0.0847749 | − | 0.0978354i | ||||
\(889\) | 12.6364 | + | 37.2860i | 0.423812 | + | 1.25053i | ||||
\(890\) | 2.45407 | − | 1.57714i | 0.0822607 | − | 0.0528657i | ||||
\(891\) | −0.357583 | + | 1.21781i | −0.0119795 | + | 0.0407983i | ||||
\(892\) | −2.49609 | − | 2.16287i | −0.0835751 | − | 0.0724183i | ||||
\(893\) | 2.61361 | + | 8.90114i | 0.0874611 | + | 0.297865i | ||||
\(894\) | 8.28525 | − | 18.1422i | 0.277100 | − | 0.606765i | ||||
\(895\) | −1.44667 | − | 10.0618i | −0.0483568 | − | 0.336329i | ||||
\(896\) | 2.63210 | + | 0.268457i | 0.0879322 | + | 0.00896853i | ||||
\(897\) | 19.1886 | − | 6.78725i | 0.640689 | − | 0.226620i | ||||
\(898\) | −16.5494 | −0.552260 | ||||||||
\(899\) | −41.5983 | + | 5.98093i | −1.38738 | + | 0.199475i | ||||
\(900\) | 1.99182 | − | 4.36148i | 0.0663941 | − | 0.145383i | ||||
\(901\) | −0.607547 | − | 2.06912i | −0.0202403 | − | 0.0689322i | ||||
\(902\) | −0.732791 | + | 0.845685i | −0.0243993 | + | 0.0281582i | ||||
\(903\) | −14.0028 | − | 5.71081i | −0.465984 | − | 0.190044i | ||||
\(904\) | −8.29029 | − | 12.8999i | −0.275731 | − | 0.429046i | ||||
\(905\) | −2.04216 | − | 4.47170i | −0.0678836 | − | 0.148644i | ||||
\(906\) | −11.8717 | + | 10.2869i | −0.394411 | + | 0.341759i | ||||
\(907\) | −14.5249 | + | 22.6011i | −0.482290 | + | 0.750458i | −0.994080 | − | 0.108653i | \(-0.965346\pi\) |
0.511790 | + | 0.859111i | \(0.328983\pi\) | |||||||
\(908\) | −2.10983 | + | 14.6742i | −0.0700172 | + | 0.486980i | ||||
\(909\) | 6.21694 | + | 0.893861i | 0.206203 | + | 0.0296475i | ||||
\(910\) | −3.17011 | + | 3.97811i | −0.105088 | + | 0.131873i | ||||
\(911\) | −10.0787 | + | 8.73322i | −0.333921 | + | 0.289345i | −0.805641 | − | 0.592404i | \(-0.798179\pi\) |
0.471720 | + | 0.881749i | \(0.343633\pi\) | |||||||
\(912\) | 0.967032 | − | 0.441629i | 0.0320216 | − | 0.0146238i | ||||
\(913\) | 10.0024 | + | 15.5641i | 0.331032 | + | 0.515096i | ||||
\(914\) | 3.05560 | − | 10.4064i | 0.101070 | − | 0.344213i | ||||
\(915\) | 4.86012 | + | 4.21132i | 0.160671 | + | 0.139222i | ||||
\(916\) | 18.7308 | − | 5.49987i | 0.618884 | − | 0.181721i | ||||
\(917\) | 48.6795 | + | 28.5248i | 1.60754 | + | 0.941973i | ||||
\(918\) | −0.548678 | + | 0.0788880i | −0.0181091 | + | 0.00260369i | ||||
\(919\) | − | 31.5169i | − | 1.03965i | −0.854274 | − | 0.519823i | \(-0.825998\pi\) | ||
0.854274 | − | 0.519823i | \(-0.174002\pi\) | |||||||
\(920\) | −1.88883 | − | 1.07351i | −0.0622730 | − | 0.0353927i | ||||
\(921\) | 0.277383 | 0.00914007 | ||||||||
\(922\) | 5.98362 | − | 0.860315i | 0.197060 | − | 0.0283330i | ||||
\(923\) | 20.1847 | + | 9.21806i | 0.664389 | + | 0.303416i | ||||
\(924\) | 3.30140 | − | 0.614261i | 0.108608 | − | 0.0202077i | ||||
\(925\) | 13.9788 | + | 12.1127i | 0.459621 | + | 0.398264i | ||||
\(926\) | −33.4169 | − | 9.81209i | −1.09815 | − | 0.322445i | ||||
\(927\) | 0.852125 | − | 0.547627i | 0.0279875 | − | 0.0179864i | ||||
\(928\) | −3.67250 | − | 8.04166i | −0.120556 | − | 0.263980i | ||||
\(929\) | −18.1265 | + | 15.7067i | −0.594710 | + | 0.515319i | −0.899397 | − | 0.437133i | \(-0.855994\pi\) |
0.304686 | + | 0.952453i | \(0.401448\pi\) | |||||||
\(930\) | 1.81167 | + | 1.16429i | 0.0594069 | + | 0.0381785i | ||||
\(931\) | −2.52435 | + | 7.00048i | −0.0827324 | + | 0.229432i | ||||
\(932\) | −0.431674 | + | 3.00236i | −0.0141399 | + | 0.0983454i | ||||
\(933\) | 12.8175 | + | 8.23733i | 0.419627 | + | 0.269678i | ||||
\(934\) | 10.7572 | + | 12.4144i | 0.351985 | + | 0.406212i | ||||
\(935\) | −0.289920 | + | 0.132402i | −0.00948141 | + | 0.00433001i | ||||
\(936\) | −2.29449 | − | 3.57030i | −0.0749978 | − | 0.116699i | ||||
\(937\) | −48.3176 | − | 14.1873i | −1.57847 | − | 0.463479i | −0.629014 | − | 0.777394i | \(-0.716541\pi\) |
−0.949451 | + | 0.313914i | \(0.898360\pi\) | |||||||
\(938\) | −14.8311 | − | 15.7564i | −0.484252 | − | 0.514465i | ||||
\(939\) | −5.57634 | − | 18.9913i | −0.181977 | − | 0.619757i | ||||
\(940\) | −3.59590 | − | 1.64219i | −0.117285 | − | 0.0535624i | ||||
\(941\) | 5.46882 | + | 38.0365i | 0.178278 | + | 1.23995i | 0.860745 | + | 0.509037i | \(0.169998\pi\) |
−0.682466 | + | 0.730917i | \(0.739093\pi\) | |||||||
\(942\) | 8.82772i | 0.287623i | ||||||||
\(943\) | −2.47589 | − | 3.42748i | −0.0806260 | − | 0.111614i | ||||
\(944\) | − | 14.0389i | − | 0.456928i | ||||||
\(945\) | 1.19755 | − | 0.0493160i | 0.0389563 | − | 0.00160425i | ||||
\(946\) | 3.01368 | − | 6.59904i | 0.0979833 | − | 0.214553i | ||||
\(947\) | −12.3582 | + | 3.62870i | −0.401588 | + | 0.117917i | −0.476288 | − | 0.879289i | \(-0.658018\pi\) |
0.0747004 | + | 0.997206i | \(0.476200\pi\) | |||||||
\(948\) | −6.33630 | + | 7.31248i | −0.205794 | + | 0.237498i | ||||
\(949\) | 36.3772 | + | 10.6813i | 1.18085 | + | 0.346730i | ||||
\(950\) | −4.28815 | + | 2.75583i | −0.139126 | + | 0.0894109i | ||||
\(951\) | −2.39673 | + | 1.09455i | −0.0777192 | + | 0.0354932i | ||||
\(952\) | 0.842993 | + | 1.20011i | 0.0273216 | + | 0.0388957i | ||||
\(953\) | −10.4923 | + | 16.3264i | −0.339879 | + | 0.528863i | −0.968553 | − | 0.248807i | \(-0.919962\pi\) |
0.628674 | + | 0.777669i | \(0.283598\pi\) | |||||||
\(954\) | −3.85070 | − | 0.553646i | −0.124671 | − | 0.0179250i | ||||
\(955\) | −4.76106 | − | 0.684537i | −0.154064 | − | 0.0221511i | ||||
\(956\) | −6.11816 | − | 3.93190i | −0.197876 | − | 0.127167i | ||||
\(957\) | −7.34798 | − | 8.48003i | −0.237527 | − | 0.274120i | ||||
\(958\) | 10.8017 | + | 23.6524i | 0.348986 | + | 0.764173i | ||||
\(959\) | 2.42922 | + | 4.78751i | 0.0784436 | + | 0.154597i | ||||
\(960\) | −0.127629 | + | 0.434665i | −0.00411921 | + | 0.0140288i | ||||
\(961\) | −5.50188 | + | 6.34951i | −0.177480 | + | 0.204823i | ||||
\(962\) | 15.7088 | − | 4.61253i | 0.506473 | − | 0.148714i | ||||
\(963\) | 13.5169 | + | 6.17295i | 0.435575 | + | 0.198920i | ||||
\(964\) | 0.855816 | + | 5.95233i | 0.0275640 | + | 0.191712i | ||||
\(965\) | 5.05945 | 0.162870 | ||||||||
\(966\) | −0.599478 | + | 12.6744i | −0.0192879 | + | 0.407792i | ||||
\(967\) | −36.1884 | −1.16374 | −0.581870 | − | 0.813282i | \(-0.697679\pi\) | ||||
−0.581870 | + | 0.813282i | \(0.697679\pi\) | |||||||
\(968\) | −1.33620 | − | 9.29350i | −0.0429472 | − | 0.298704i | ||||
\(969\) | 0.536045 | + | 0.244804i | 0.0172202 | + | 0.00786422i | ||||
\(970\) | −7.46959 | + | 2.19327i | −0.239834 | + | 0.0704216i | ||||
\(971\) | −3.92094 | + | 4.52501i | −0.125829 | + | 0.145214i | −0.815168 | − | 0.579224i | \(-0.803356\pi\) |
0.689339 | + | 0.724439i | \(0.257901\pi\) | |||||||
\(972\) | −0.281733 | + | 0.959493i | −0.00903658 | + | 0.0307758i | ||||
\(973\) | 14.4217 | + | 28.4223i | 0.462338 | + | 0.911176i | ||||
\(974\) | −8.22668 | − | 18.0139i | −0.263600 | − | 0.577203i | ||||
\(975\) | 13.3258 | + | 15.3789i | 0.426769 | + | 0.492517i | ||||
\(976\) | 11.9422 | + | 7.67477i | 0.382260 | + | 0.245663i | ||||
\(977\) | −44.3495 | − | 6.37650i | −1.41887 | − | 0.204002i | −0.610190 | − | 0.792255i | \(-0.708907\pi\) |
−0.808677 | + | 0.588253i | \(0.799816\pi\) | |||||||
\(978\) | 17.0309 | + | 2.44867i | 0.544587 | + | 0.0782998i | ||||
\(979\) | 4.41871 | − | 6.87565i | 0.141223 | − | 0.219747i | ||||
\(980\) | −1.55004 | − | 2.76646i | −0.0495141 | − | 0.0883713i | ||||
\(981\) | 12.0526 | − | 5.50425i | 0.384811 | − | 0.175737i | ||||
\(982\) | −1.01973 | + | 0.655342i | −0.0325410 | + | 0.0209128i | ||||
\(983\) | 20.3751 | + | 5.98266i | 0.649863 | + | 0.190817i | 0.590017 | − | 0.807391i | \(-0.299121\pi\) |
0.0598460 | + | 0.998208i | \(0.480939\pi\) | |||||||
\(984\) | −0.577352 | + | 0.666300i | −0.0184053 | + | 0.0212409i | ||||
\(985\) | −10.6813 | + | 3.13630i | −0.340333 | + | 0.0999309i | ||||
\(986\) | 2.03574 | − | 4.45765i | 0.0648312 | − | 0.141961i | ||||
\(987\) | 0.949956 | + | 23.0680i | 0.0302374 | + | 0.734262i | ||||
\(988\) | 4.51183i | 0.143540i | ||||||||
\(989\) | 21.6616 | + | 16.7985i | 0.688800 | + | 0.534161i | ||||
\(990\) | 0.574979i | 0.0182740i | ||||||||
\(991\) | −3.04011 | − | 21.1445i | −0.0965724 | − | 0.671676i | −0.979393 | − | 0.201965i | \(-0.935267\pi\) |
0.882820 | − | 0.469711i | \(-0.155642\pi\) | |||||||
\(992\) | 4.32419 | + | 1.97479i | 0.137293 | + | 0.0626997i | ||||
\(993\) | −0.289737 | − | 0.986754i | −0.00919453 | − | 0.0313137i | ||||
\(994\) | −10.0730 | + | 9.48144i | −0.319496 | + | 0.300733i | ||||
\(995\) | 5.28608 | + | 1.55213i | 0.167580 | + | 0.0492060i | ||||
\(996\) | 7.88072 | + | 12.2626i | 0.249710 | + | 0.388557i | ||||
\(997\) | 23.8413 | − | 10.8880i | 0.755062 | − | 0.344825i | −0.000415695 | − | 1.00000i | \(-0.500132\pi\) |
0.755477 | + | 0.655175i | \(0.227405\pi\) | |||||||
\(998\) | 15.3079 | + | 17.6663i | 0.484564 | + | 0.559217i | ||||
\(999\) | −3.24528 | − | 2.08561i | −0.102676 | − | 0.0659858i |
(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 | 966.2.s.a.181.4 | ✓ | 160 | |
7.6 | odd | 2 | inner | 966.2.s.a.181.13 | yes | 160 | |
23.15 | odd | 22 | inner | 966.2.s.a.475.13 | yes | 160 | |
161.153 | even | 22 | inner | 966.2.s.a.475.4 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.s.a.181.4 | ✓ | 160 | 1.1 | even | 1 | trivial | |
966.2.s.a.181.13 | yes | 160 | 7.6 | odd | 2 | inner | |
966.2.s.a.475.4 | yes | 160 | 161.153 | even | 22 | inner | |
966.2.s.a.475.13 | yes | 160 | 23.15 | odd | 22 | inner |