Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(31,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.q (of order \(15\), degree \(8\), 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: | \(3.59326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 331.1 | ||
Character | \(\chi\) | \(=\) | 450.331 |
Dual form | 450.2.q.b.121.1 |
$q$-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 \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.978148 | − | 0.207912i | −0.691655 | − | 0.147016i | ||||
\(3\) | −1.72536 | − | 0.152123i | −0.996136 | − | 0.0878284i | ||||
\(4\) | 0.913545 | + | 0.406737i | 0.456773 | + | 0.203368i | ||||
\(5\) | 1.62343 | + | 1.53769i | 0.726020 | + | 0.687674i | ||||
\(6\) | 1.65603 | + | 0.507521i | 0.676070 | + | 0.207195i | ||||
\(7\) | −1.38192 | + | 2.39355i | −0.522315 | + | 0.904677i | 0.477347 | + | 0.878715i | \(0.341598\pi\) |
−0.999663 | + | 0.0259623i | \(0.991735\pi\) | |||||||
\(8\) | −0.809017 | − | 0.587785i | −0.286031 | − | 0.207813i | ||||
\(9\) | 2.95372 | + | 0.524934i | 0.984572 | + | 0.174978i | ||||
\(10\) | −1.26825 | − | 1.84161i | −0.401056 | − | 0.582369i | ||||
\(11\) | −2.02450 | − | 0.430321i | −0.610410 | − | 0.129747i | −0.107673 | − | 0.994186i | \(-0.534340\pi\) |
−0.502737 | + | 0.864440i | \(0.667673\pi\) | |||||||
\(12\) | −1.51432 | − | 0.840738i | −0.437146 | − | 0.242700i | ||||
\(13\) | 0.737149 | − | 0.156686i | 0.204448 | − | 0.0434569i | −0.104549 | − | 0.994520i | \(-0.533340\pi\) |
0.308997 | + | 0.951063i | \(0.400007\pi\) | |||||||
\(14\) | 1.84937 | − | 2.05393i | 0.494264 | − | 0.548936i | ||||
\(15\) | −2.56708 | − | 2.90002i | −0.662817 | − | 0.748781i | ||||
\(16\) | 0.669131 | + | 0.743145i | 0.167283 | + | 0.185786i | ||||
\(17\) | −3.69560 | − | 2.68501i | −0.896315 | − | 0.651211i | 0.0412018 | − | 0.999151i | \(-0.486881\pi\) |
−0.937517 | + | 0.347940i | \(0.886881\pi\) | |||||||
\(18\) | −2.78003 | − | 1.12758i | −0.655260 | − | 0.265772i | ||||
\(19\) | −0.0538055 | − | 0.0390920i | −0.0123438 | − | 0.00896832i | 0.581596 | − | 0.813478i | \(-0.302428\pi\) |
−0.593940 | + | 0.804509i | \(0.702428\pi\) | |||||||
\(20\) | 0.857644 | + | 2.06505i | 0.191775 | + | 0.461760i | ||||
\(21\) | 2.74842 | − | 3.91951i | 0.599753 | − | 0.855307i | ||||
\(22\) | 1.89079 | + | 0.841835i | 0.403118 | + | 0.179480i | ||||
\(23\) | −3.69647 | + | 4.10534i | −0.770767 | + | 0.856023i | −0.992895 | − | 0.118994i | \(-0.962033\pi\) |
0.222128 | + | 0.975017i | \(0.428700\pi\) | |||||||
\(24\) | 1.30643 | + | 1.13721i | 0.266673 | + | 0.232132i | ||||
\(25\) | 0.271050 | + | 4.99265i | 0.0542099 | + | 0.998530i | ||||
\(26\) | −0.753618 | −0.147797 | ||||||||
\(27\) | −5.01636 | − | 1.35503i | −0.965400 | − | 0.260775i | ||||
\(28\) | −2.23599 | + | 1.62454i | −0.422562 | + | 0.307009i | ||||
\(29\) | −0.355748 | − | 3.38471i | −0.0660607 | − | 0.628525i | −0.976594 | − | 0.215090i | \(-0.930996\pi\) |
0.910534 | − | 0.413435i | \(-0.135671\pi\) | |||||||
\(30\) | 1.90803 | + | 3.37037i | 0.348358 | + | 0.615343i | ||||
\(31\) | −0.723621 | + | 6.88479i | −0.129966 | + | 1.23654i | 0.713999 | + | 0.700147i | \(0.246882\pi\) |
−0.843965 | + | 0.536398i | \(0.819785\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 3.42753 | + | 1.05043i | 0.596656 | + | 0.182857i | ||||
\(34\) | 3.05660 | + | 3.39470i | 0.524202 | + | 0.582186i | ||||
\(35\) | −5.92397 | + | 1.76081i | −1.00133 | + | 0.297631i | ||||
\(36\) | 2.48484 | + | 1.68094i | 0.414141 | + | 0.280156i | ||||
\(37\) | −0.533760 | + | 1.64274i | −0.0877496 | + | 0.270065i | −0.985296 | − | 0.170854i | \(-0.945347\pi\) |
0.897547 | + | 0.440919i | \(0.145347\pi\) | |||||||
\(38\) | 0.0445021 | + | 0.0494245i | 0.00721919 | + | 0.00801772i | ||||
\(39\) | −1.29568 | + | 0.158202i | −0.207475 | + | 0.0253325i | ||||
\(40\) | −0.409554 | − | 2.19824i | −0.0647561 | − | 0.347572i | ||||
\(41\) | −5.68847 | + | 1.20912i | −0.888389 | + | 0.188833i | −0.629432 | − | 0.777056i | \(-0.716712\pi\) |
−0.258957 | + | 0.965889i | \(0.583379\pi\) | |||||||
\(42\) | −3.50327 | + | 3.26243i | −0.540566 | + | 0.503404i | ||||
\(43\) | −5.69373 | + | 9.86184i | −0.868286 | + | 1.50392i | −0.00453946 | + | 0.999990i | \(0.501445\pi\) |
−0.863747 | + | 0.503926i | \(0.831888\pi\) | |||||||
\(44\) | −1.67445 | − | 1.21656i | −0.252432 | − | 0.183403i | ||||
\(45\) | 3.98797 | + | 5.39408i | 0.594491 | + | 0.804102i | ||||
\(46\) | 4.46924 | − | 3.24709i | 0.658953 | − | 0.478758i | ||||
\(47\) | −0.660693 | − | 6.28608i | −0.0963720 | − | 0.916919i | −0.930733 | − | 0.365700i | \(-0.880830\pi\) |
0.834361 | − | 0.551219i | \(-0.185837\pi\) | |||||||
\(48\) | −1.04144 | − | 1.38398i | −0.150319 | − | 0.199760i | ||||
\(49\) | −0.319388 | − | 0.553196i | −0.0456269 | − | 0.0790280i | ||||
\(50\) | 0.772903 | − | 4.93990i | 0.109305 | − | 0.698607i | ||||
\(51\) | 5.96778 | + | 5.19479i | 0.835657 | + | 0.727416i | ||||
\(52\) | 0.737149 | + | 0.156686i | 0.102224 | + | 0.0217284i | ||||
\(53\) | −6.08008 | + | 4.41743i | −0.835163 | + | 0.606781i | −0.921015 | − | 0.389527i | \(-0.872639\pi\) |
0.0858526 | + | 0.996308i | \(0.472639\pi\) | |||||||
\(54\) | 4.62502 | + | 2.36838i | 0.629385 | + | 0.322295i | ||||
\(55\) | −2.62494 | − | 3.81164i | −0.353946 | − | 0.513961i | ||||
\(56\) | 2.52489 | − | 1.12415i | 0.337402 | − | 0.150221i | ||||
\(57\) | 0.0868870 | + | 0.0756327i | 0.0115085 | + | 0.0100178i | ||||
\(58\) | −0.355748 | + | 3.38471i | −0.0467119 | + | 0.444434i | ||||
\(59\) | −6.35161 | + | 1.35008i | −0.826910 | + | 0.175765i | −0.601880 | − | 0.798587i | \(-0.705581\pi\) |
−0.225030 | + | 0.974352i | \(0.572248\pi\) | |||||||
\(60\) | −1.16560 | − | 3.69342i | −0.150478 | − | 0.476819i | ||||
\(61\) | 7.30186 | + | 1.55206i | 0.934907 | + | 0.198721i | 0.650087 | − | 0.759860i | \(-0.274733\pi\) |
0.284821 | + | 0.958581i | \(0.408066\pi\) | |||||||
\(62\) | 2.13924 | − | 6.58389i | 0.271683 | − | 0.836155i | ||||
\(63\) | −5.33825 | + | 6.34445i | −0.672556 | + | 0.799326i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | 1.43764 | + | 0.879135i | 0.178318 | + | 0.109043i | ||||
\(66\) | −3.13423 | − | 1.74010i | −0.385797 | − | 0.214191i | ||||
\(67\) | 0.310385 | − | 2.95312i | 0.0379196 | − | 0.360781i | −0.959065 | − | 0.283185i | \(-0.908609\pi\) |
0.996985 | − | 0.0775958i | \(-0.0247244\pi\) | |||||||
\(68\) | −2.28401 | − | 3.95602i | −0.276977 | − | 0.479738i | ||||
\(69\) | 7.00225 | − | 6.52087i | 0.842971 | − | 0.785020i | ||||
\(70\) | 6.16061 | − | 0.490667i | 0.736334 | − | 0.0586460i | ||||
\(71\) | −4.06787 | + | 2.95548i | −0.482767 | + | 0.350751i | −0.802396 | − | 0.596792i | \(-0.796442\pi\) |
0.319629 | + | 0.947543i | \(0.396442\pi\) | |||||||
\(72\) | −2.08106 | − | 2.16083i | −0.245255 | − | 0.254656i | ||||
\(73\) | −0.246066 | − | 0.757312i | −0.0287998 | − | 0.0886367i | 0.935623 | − | 0.353000i | \(-0.114838\pi\) |
−0.964423 | + | 0.264363i | \(0.914838\pi\) | |||||||
\(74\) | 0.863642 | − | 1.49587i | 0.100396 | − | 0.173892i | ||||
\(75\) | 0.291840 | − | 8.65534i | 0.0336988 | − | 0.999432i | ||||
\(76\) | −0.0332536 | − | 0.0575970i | −0.00381445 | − | 0.00660683i | ||||
\(77\) | 3.82769 | − | 4.25108i | 0.436205 | − | 0.484455i | ||||
\(78\) | 1.30026 | + | 0.114643i | 0.147225 | + | 0.0129807i | ||||
\(79\) | −1.45268 | − | 13.8214i | −0.163440 | − | 1.55502i | −0.701840 | − | 0.712335i | \(-0.747638\pi\) |
0.538400 | − | 0.842689i | \(-0.319029\pi\) | |||||||
\(80\) | −0.0564360 | + | 2.23536i | −0.00630974 | + | 0.249920i | ||||
\(81\) | 8.44889 | + | 3.10101i | 0.938765 | + | 0.344557i | ||||
\(82\) | 5.81555 | 0.642220 | ||||||||
\(83\) | 14.3350 | − | 6.38237i | 1.57347 | − | 0.700556i | 0.580001 | − | 0.814616i | \(-0.303052\pi\) |
0.993474 | + | 0.114060i | \(0.0363855\pi\) | |||||||
\(84\) | 4.10501 | − | 2.46277i | 0.447893 | − | 0.268710i | ||||
\(85\) | −1.87085 | − | 10.0416i | −0.202922 | − | 1.08916i | ||||
\(86\) | 7.61970 | − | 8.46254i | 0.821654 | − | 0.912539i | ||||
\(87\) | 0.0988984 | + | 5.89396i | 0.0106030 | + | 0.631898i | ||||
\(88\) | 1.38492 | + | 1.53811i | 0.147633 | + | 0.163963i | ||||
\(89\) | −0.320840 | − | 0.987443i | −0.0340089 | − | 0.104669i | 0.932611 | − | 0.360883i | \(-0.117525\pi\) |
−0.966620 | + | 0.256214i | \(0.917525\pi\) | |||||||
\(90\) | −2.77933 | − | 6.10535i | −0.292967 | − | 0.643561i | ||||
\(91\) | −0.643643 | + | 1.98093i | −0.0674722 | + | 0.207658i | ||||
\(92\) | −5.04668 | + | 2.24693i | −0.526153 | + | 0.234259i | ||||
\(93\) | 2.29584 | − | 11.7686i | 0.238068 | − | 1.22035i | ||||
\(94\) | −0.660693 | + | 6.28608i | −0.0681453 | + | 0.648359i | ||||
\(95\) | −0.0272383 | − | 0.146199i | −0.00279459 | − | 0.0149997i | ||||
\(96\) | 0.730936 | + | 1.57027i | 0.0746009 | + | 0.160265i | ||||
\(97\) | 0.910985 | + | 8.66745i | 0.0924966 | + | 0.880046i | 0.938130 | + | 0.346282i | \(0.112556\pi\) |
−0.845634 | + | 0.533764i | \(0.820777\pi\) | |||||||
\(98\) | 0.197393 | + | 0.607512i | 0.0199397 | + | 0.0613680i | ||||
\(99\) | −5.75391 | − | 2.33378i | −0.578290 | − | 0.234553i | ||||
\(100\) | −1.78308 | + | 4.67126i | −0.178308 | + | 0.467126i | ||||
\(101\) | −4.16666 | + | 7.21686i | −0.414598 | + | 0.718104i | −0.995386 | − | 0.0959502i | \(-0.969411\pi\) |
0.580788 | + | 0.814055i | \(0.302744\pi\) | |||||||
\(102\) | −4.75731 | − | 6.32204i | −0.471044 | − | 0.625976i | ||||
\(103\) | 10.0164 | + | 4.45958i | 0.986944 | + | 0.439416i | 0.835763 | − | 0.549090i | \(-0.185026\pi\) |
0.151181 | + | 0.988506i | \(0.451692\pi\) | |||||||
\(104\) | −0.688464 | − | 0.306524i | −0.0675094 | − | 0.0300571i | ||||
\(105\) | 10.4888 | − | 2.13685i | 1.02360 | − | 0.208535i | ||||
\(106\) | 6.86565 | − | 3.05678i | 0.666851 | − | 0.296901i | ||||
\(107\) | 18.0127 | 1.74136 | 0.870679 | − | 0.491852i | \(-0.163680\pi\) | ||||
0.870679 | + | 0.491852i | \(0.163680\pi\) | |||||||
\(108\) | −4.03154 | − | 3.27822i | −0.387935 | − | 0.315447i | ||||
\(109\) | 4.27404 | − | 13.1541i | 0.409378 | − | 1.25994i | −0.507805 | − | 0.861472i | \(-0.669543\pi\) |
0.917183 | − | 0.398465i | \(-0.130457\pi\) | |||||||
\(110\) | 1.77509 | + | 4.27410i | 0.169248 | + | 0.407520i | ||||
\(111\) | 1.17083 | − | 2.75312i | 0.111130 | − | 0.261315i | ||||
\(112\) | −2.70344 | + | 0.574633i | −0.255451 | + | 0.0542977i | ||||
\(113\) | −9.53418 | + | 2.02655i | −0.896900 | + | 0.190642i | −0.633224 | − | 0.773969i | \(-0.718269\pi\) |
−0.263677 | + | 0.964611i | \(0.584935\pi\) | |||||||
\(114\) | −0.0692633 | − | 0.0920448i | −0.00648711 | − | 0.00862079i | ||||
\(115\) | −12.3137 | + | 0.980734i | −1.14826 | + | 0.0914539i | ||||
\(116\) | 1.05169 | − | 3.23678i | 0.0976474 | − | 0.300528i | ||||
\(117\) | 2.25958 | − | 0.0758512i | 0.208898 | − | 0.00701245i | ||||
\(118\) | 6.49351 | 0.597776 | ||||||||
\(119\) | 11.5337 | − | 5.13514i | 1.05729 | − | 0.470738i | ||||
\(120\) | 0.372223 | + | 3.85506i | 0.0339792 | + | 0.351917i | ||||
\(121\) | −6.13557 | − | 2.73173i | −0.557779 | − | 0.248339i | ||||
\(122\) | −6.81960 | − | 3.03628i | −0.617418 | − | 0.274892i | ||||
\(123\) | 9.99857 | − | 1.22082i | 0.901541 | − | 0.110077i | ||||
\(124\) | −3.46136 | + | 5.99525i | −0.310839 | + | 0.538389i | ||||
\(125\) | −7.23709 | + | 8.52200i | −0.647305 | + | 0.762231i | ||||
\(126\) | 6.54068 | − | 5.09593i | 0.582690 | − | 0.453981i | ||||
\(127\) | −4.94644 | − | 15.2236i | −0.438925 | − | 1.35087i | −0.889010 | − | 0.457887i | \(-0.848606\pi\) |
0.450085 | − | 0.892986i | \(-0.351394\pi\) | |||||||
\(128\) | −0.104528 | − | 0.994522i | −0.00923910 | − | 0.0879041i | ||||
\(129\) | 11.3239 | − | 16.1490i | 0.997017 | − | 1.42184i | ||||
\(130\) | −1.22345 | − | 1.15883i | −0.107303 | − | 0.101636i | ||||
\(131\) | −1.77515 | + | 16.8895i | −0.155096 | + | 1.47564i | 0.589308 | + | 0.807909i | \(0.299401\pi\) |
−0.744404 | + | 0.667730i | \(0.767266\pi\) | |||||||
\(132\) | 2.70395 | + | 2.35372i | 0.235349 | + | 0.204865i | ||||
\(133\) | 0.167923 | − | 0.0747643i | 0.0145608 | − | 0.00648289i | ||||
\(134\) | −0.917590 | + | 2.82405i | −0.0792677 | + | 0.243961i | ||||
\(135\) | −6.06011 | − | 9.91338i | −0.521571 | − | 0.853208i | ||||
\(136\) | 1.41159 | + | 4.34444i | 0.121043 | + | 0.372533i | ||||
\(137\) | 0.845829 | + | 0.939388i | 0.0722640 | + | 0.0802573i | 0.778193 | − | 0.628026i | \(-0.216137\pi\) |
−0.705929 | + | 0.708283i | \(0.749470\pi\) | |||||||
\(138\) | −8.20499 | + | 4.92252i | −0.698456 | + | 0.419033i | ||||
\(139\) | −11.2166 | + | 12.4573i | −0.951383 | + | 1.05662i | 0.0469493 | + | 0.998897i | \(0.485050\pi\) |
−0.998333 | + | 0.0577211i | \(0.981617\pi\) | |||||||
\(140\) | −6.12800 | − | 0.800918i | −0.517911 | − | 0.0676899i | ||||
\(141\) | 0.183674 | + | 10.9462i | 0.0154681 | + | 0.921840i | ||||
\(142\) | 4.59345 | − | 2.04514i | 0.385474 | − | 0.171624i | ||||
\(143\) | −1.55978 | −0.130436 | ||||||||
\(144\) | 1.58632 | + | 2.54629i | 0.132193 | + | 0.212191i | ||||
\(145\) | 4.62709 | − | 6.04187i | 0.384259 | − | 0.501750i | ||||
\(146\) | 0.0832345 | + | 0.791923i | 0.00688853 | + | 0.0655400i | ||||
\(147\) | 0.466905 | + | 1.00305i | 0.0385096 | + | 0.0827300i | ||||
\(148\) | −1.15578 | + | 1.28362i | −0.0950044 | + | 0.105513i | ||||
\(149\) | 8.97672 | + | 15.5481i | 0.735402 | + | 1.27375i | 0.954547 | + | 0.298061i | \(0.0963399\pi\) |
−0.219145 | + | 0.975692i | \(0.570327\pi\) | |||||||
\(150\) | −2.08501 | + | 8.40552i | −0.170240 | + | 0.686308i | ||||
\(151\) | −3.44283 | + | 5.96316i | −0.280174 | + | 0.485275i | −0.971427 | − | 0.237337i | \(-0.923725\pi\) |
0.691254 | + | 0.722612i | \(0.257059\pi\) | |||||||
\(152\) | 0.0205519 | + | 0.0632522i | 0.00166698 | + | 0.00513043i | ||||
\(153\) | −9.50631 | − | 9.87071i | −0.768539 | − | 0.798000i | ||||
\(154\) | −4.62789 | + | 3.36236i | −0.372926 | + | 0.270947i | ||||
\(155\) | −11.7614 | + | 10.0643i | −0.944697 | + | 0.808382i | ||||
\(156\) | −1.24801 | − | 0.382477i | −0.0999208 | − | 0.0306226i | ||||
\(157\) | −3.05002 | − | 5.28278i | −0.243418 | − | 0.421612i | 0.718268 | − | 0.695767i | \(-0.244935\pi\) |
−0.961686 | + | 0.274155i | \(0.911602\pi\) | |||||||
\(158\) | −1.45268 | + | 13.8214i | −0.115569 | + | 1.09957i | ||||
\(159\) | 11.1623 | − | 6.69673i | 0.885228 | − | 0.531085i | ||||
\(160\) | 0.519959 | − | 2.17477i | 0.0411064 | − | 0.171931i | ||||
\(161\) | −4.71813 | − | 14.5209i | −0.371841 | − | 1.14441i | ||||
\(162\) | −7.61952 | − | 4.78987i | −0.598646 | − | 0.376328i | ||||
\(163\) | −1.30677 | + | 4.02182i | −0.102354 | + | 0.315014i | −0.989100 | − | 0.147243i | \(-0.952960\pi\) |
0.886746 | + | 0.462257i | \(0.152960\pi\) | |||||||
\(164\) | −5.68847 | − | 1.20912i | −0.444195 | − | 0.0944165i | ||||
\(165\) | 3.94912 | + | 6.97576i | 0.307438 | + | 0.543062i | ||||
\(166\) | −15.3488 | + | 3.26248i | −1.19129 | + | 0.253217i | ||||
\(167\) | 1.63221 | − | 15.5294i | 0.126304 | − | 1.20170i | −0.729344 | − | 0.684147i | \(-0.760175\pi\) |
0.855649 | − | 0.517557i | \(-0.173159\pi\) | |||||||
\(168\) | −4.52734 | + | 1.55547i | −0.349292 | + | 0.120007i | ||||
\(169\) | −11.3573 | + | 5.05657i | −0.873635 | + | 0.388967i | ||||
\(170\) | −0.257801 | + | 10.2111i | −0.0197724 | + | 0.783159i | ||||
\(171\) | −0.138406 | − | 0.143711i | −0.0105841 | − | 0.0109899i | ||||
\(172\) | −9.21265 | + | 6.69339i | −0.702458 | + | 0.510366i | ||||
\(173\) | 23.3676 | + | 4.96694i | 1.77661 | + | 0.377630i | 0.975345 | − | 0.220683i | \(-0.0708288\pi\) |
0.801262 | + | 0.598313i | \(0.204162\pi\) | |||||||
\(174\) | 1.12868 | − | 5.78572i | 0.0855654 | − | 0.438614i | ||||
\(175\) | −12.3247 | − | 6.25065i | −0.931661 | − | 0.472505i | ||||
\(176\) | −1.03486 | − | 1.79244i | −0.0780059 | − | 0.135110i | ||||
\(177\) | 11.1642 | − | 1.36314i | 0.839151 | − | 0.102460i | ||||
\(178\) | 0.108528 | + | 1.03257i | 0.00813449 | + | 0.0773945i | ||||
\(179\) | 14.6530 | − | 10.6460i | 1.09521 | − | 0.795720i | 0.114942 | − | 0.993372i | \(-0.463332\pi\) |
0.980272 | + | 0.197652i | \(0.0633317\pi\) | |||||||
\(180\) | 1.44922 | + | 6.54979i | 0.108019 | + | 0.488193i | ||||
\(181\) | 13.2505 | + | 9.62705i | 0.984902 | + | 0.715573i | 0.958799 | − | 0.284086i | \(-0.0916902\pi\) |
0.0261031 | + | 0.999659i | \(0.491690\pi\) | |||||||
\(182\) | 1.04144 | − | 1.80382i | 0.0771964 | − | 0.133708i | ||||
\(183\) | −12.3622 | − | 3.78864i | −0.913841 | − | 0.280064i | ||||
\(184\) | 5.40357 | − | 1.14856i | 0.398356 | − | 0.0846732i | ||||
\(185\) | −3.39254 | + | 1.84613i | −0.249425 | + | 0.135730i | ||||
\(186\) | −4.69251 | + | 11.0341i | −0.344072 | + | 0.809062i | ||||
\(187\) | 6.32633 | + | 7.02610i | 0.462627 | + | 0.513799i | ||||
\(188\) | 1.95320 | − | 6.01135i | 0.142452 | − | 0.438422i | ||||
\(189\) | 10.1755 | − | 10.1344i | 0.740160 | − | 0.737168i | ||||
\(190\) | −0.00375341 | + | 0.148667i | −0.000272301 | + | 0.0107855i | ||||
\(191\) | 5.43383 | + | 6.03488i | 0.393178 | + | 0.436668i | 0.906937 | − | 0.421266i | \(-0.138414\pi\) |
−0.513759 | + | 0.857935i | \(0.671747\pi\) | |||||||
\(192\) | −0.388487 | − | 1.68792i | −0.0280366 | − | 0.121815i | ||||
\(193\) | 6.55141 | + | 11.3474i | 0.471581 | + | 0.816802i | 0.999471 | − | 0.0325106i | \(-0.0103503\pi\) |
−0.527891 | + | 0.849312i | \(0.677017\pi\) | |||||||
\(194\) | 0.910985 | − | 8.66745i | 0.0654049 | − | 0.622286i | ||||
\(195\) | −2.34671 | − | 1.73552i | −0.168052 | − | 0.124283i | ||||
\(196\) | −0.0667703 | − | 0.635277i | −0.00476931 | − | 0.0453769i | ||||
\(197\) | 9.23625 | − | 6.71053i | 0.658056 | − | 0.478106i | −0.207950 | − | 0.978139i | \(-0.566679\pi\) |
0.866006 | + | 0.500034i | \(0.166679\pi\) | |||||||
\(198\) | 5.14296 | + | 3.47908i | 0.365494 | + | 0.247248i | ||||
\(199\) | 1.07373 | 0.0761150 | 0.0380575 | − | 0.999276i | \(-0.487883\pi\) | ||||
0.0380575 | + | 0.999276i | \(0.487883\pi\) | |||||||
\(200\) | 2.71532 | − | 4.19846i | 0.192002 | − | 0.296876i | ||||
\(201\) | −0.984763 | + | 5.04797i | −0.0694598 | + | 0.356056i | ||||
\(202\) | 5.57607 | − | 6.19286i | 0.392331 | − | 0.435728i | ||||
\(203\) | 8.59309 | + | 3.82589i | 0.603117 | + | 0.268525i | ||||
\(204\) | 3.33893 | + | 7.17299i | 0.233772 | + | 0.502210i | ||||
\(205\) | −11.0941 | − | 6.78415i | −0.774844 | − | 0.473825i | ||||
\(206\) | −8.87030 | − | 6.44465i | −0.618023 | − | 0.449020i | ||||
\(207\) | −13.0734 | + | 10.1856i | −0.908661 | + | 0.707950i | ||||
\(208\) | 0.609689 | + | 0.442965i | 0.0422744 | + | 0.0307141i | ||||
\(209\) | 0.0921072 | + | 0.102295i | 0.00637119 | + | 0.00707592i | ||||
\(210\) | −10.7039 | − | 0.0905954i | −0.738639 | − | 0.00625168i | ||||
\(211\) | 13.2955 | − | 14.7661i | 0.915298 | − | 1.01654i | −0.0844999 | − | 0.996423i | \(-0.526929\pi\) |
0.999798 | − | 0.0201176i | \(-0.00640407\pi\) | |||||||
\(212\) | −7.35116 | + | 1.56254i | −0.504880 | + | 0.107315i | ||||
\(213\) | 7.46812 | − | 4.48044i | 0.511707 | − | 0.306995i | ||||
\(214\) | −17.6191 | − | 3.74506i | −1.20442 | − | 0.256007i | ||||
\(215\) | −24.4078 | + | 7.25483i | −1.66460 | + | 0.494775i | ||||
\(216\) | 3.26186 | + | 4.04478i | 0.221941 | + | 0.275213i | ||||
\(217\) | −15.4791 | − | 11.2462i | −1.05079 | − | 0.763444i | ||||
\(218\) | −6.91554 | + | 11.9781i | −0.468379 | + | 0.811257i | ||||
\(219\) | 0.309346 | + | 1.34407i | 0.0209037 | + | 0.0908236i | ||||
\(220\) | −0.847665 | − | 4.54976i | −0.0571496 | − | 0.306745i | ||||
\(221\) | −3.14491 | − | 1.40021i | −0.211550 | − | 0.0941880i | ||||
\(222\) | −1.71765 | + | 2.44953i | −0.115281 | + | 0.164402i | ||||
\(223\) | 17.4183 | + | 3.70238i | 1.16642 | + | 0.247929i | 0.750121 | − | 0.661300i | \(-0.229995\pi\) |
0.416295 | + | 0.909230i | \(0.363328\pi\) | |||||||
\(224\) | 2.76383 | 0.184666 | ||||||||
\(225\) | −1.82021 | + | 14.8892i | −0.121347 | + | 0.992610i | ||||
\(226\) | 9.74718 | 0.648373 | ||||||||
\(227\) | −2.61855 | − | 0.556590i | −0.173799 | − | 0.0369422i | 0.120190 | − | 0.992751i | \(-0.461650\pi\) |
−0.293989 | + | 0.955809i | \(0.594983\pi\) | |||||||
\(228\) | 0.0486126 | + | 0.104434i | 0.00321945 | + | 0.00691631i | ||||
\(229\) | −24.4433 | − | 10.8829i | −1.61526 | − | 0.719159i | −0.617531 | − | 0.786547i | \(-0.711867\pi\) |
−0.997727 | + | 0.0673878i | \(0.978534\pi\) | |||||||
\(230\) | 12.2485 | + | 1.60086i | 0.807642 | + | 0.105557i | ||||
\(231\) | −7.25081 | + | 6.75235i | −0.477069 | + | 0.444272i | ||||
\(232\) | −1.70168 | + | 2.94739i | −0.111721 | + | 0.193506i | ||||
\(233\) | 2.90506 | + | 2.11065i | 0.190317 | + | 0.138273i | 0.678863 | − | 0.734264i | \(-0.262473\pi\) |
−0.488547 | + | 0.872538i | \(0.662473\pi\) | |||||||
\(234\) | −2.22597 | − | 0.395599i | −0.145516 | − | 0.0258611i | ||||
\(235\) | 8.59342 | − | 11.2209i | 0.560573 | − | 0.731974i | ||||
\(236\) | −6.35161 | − | 1.35008i | −0.413455 | − | 0.0878825i | ||||
\(237\) | 0.403848 | + | 24.0678i | 0.0262328 | + | 1.56337i | ||||
\(238\) | −12.3493 | + | 2.62493i | −0.800489 | + | 0.170149i | ||||
\(239\) | −5.88859 | + | 6.53994i | −0.380901 | + | 0.423034i | −0.902858 | − | 0.429938i | \(-0.858535\pi\) |
0.521957 | + | 0.852972i | \(0.325202\pi\) | |||||||
\(240\) | 0.437422 | − | 3.84820i | 0.0282355 | − | 0.248400i | ||||
\(241\) | 11.8741 | + | 13.1875i | 0.764875 | + | 0.849480i | 0.992241 | − | 0.124329i | \(-0.0396779\pi\) |
−0.227366 | + | 0.973809i | \(0.573011\pi\) | |||||||
\(242\) | 5.43354 | + | 3.94770i | 0.349281 | + | 0.253768i | ||||
\(243\) | −14.1056 | − | 6.63563i | −0.904876 | − | 0.425676i | ||||
\(244\) | 6.03930 | + | 4.38781i | 0.386627 | + | 0.280901i | ||||
\(245\) | 0.332138 | − | 1.38919i | 0.0212195 | − | 0.0887523i | ||||
\(246\) | −10.0339 | − | 0.884680i | −0.639738 | − | 0.0564051i | ||||
\(247\) | −0.0457879 | − | 0.0203861i | −0.00291341 | − | 0.00129713i | ||||
\(248\) | 4.63220 | − | 5.14458i | 0.294145 | − | 0.326681i | ||||
\(249\) | −25.7040 | + | 8.83118i | −1.62892 | + | 0.559653i | ||||
\(250\) | 8.85077 | − | 6.83110i | 0.559772 | − | 0.432037i | ||||
\(251\) | −13.6691 | −0.862785 | −0.431392 | − | 0.902164i | \(-0.641978\pi\) | ||||
−0.431392 | + | 0.902164i | \(0.641978\pi\) | |||||||
\(252\) | −7.45725 | + | 3.62469i | −0.469763 | + | 0.228334i | ||||
\(253\) | 9.25012 | − | 6.72060i | 0.581550 | − | 0.422521i | ||||
\(254\) | 1.67319 | + | 15.9193i | 0.104985 | + | 0.998867i | ||||
\(255\) | 1.70032 | + | 17.6099i | 0.106478 | + | 1.10278i | ||||
\(256\) | −0.104528 | + | 0.994522i | −0.00653303 | + | 0.0621576i | ||||
\(257\) | 6.52925 | + | 11.3090i | 0.407284 | + | 0.705436i | 0.994584 | − | 0.103933i | \(-0.0331427\pi\) |
−0.587301 | + | 0.809369i | \(0.699809\pi\) | |||||||
\(258\) | −14.4341 | + | 13.4418i | −0.898625 | + | 0.836848i | ||||
\(259\) | −3.19438 | − | 3.54772i | −0.198489 | − | 0.220444i | ||||
\(260\) | 0.955777 | + | 1.38787i | 0.0592748 | + | 0.0860722i | ||||
\(261\) | 0.725972 | − | 10.1842i | 0.0449366 | − | 0.630388i | ||||
\(262\) | 5.24788 | − | 16.1513i | 0.324215 | − | 0.997831i | ||||
\(263\) | −11.3654 | − | 12.6225i | −0.700819 | − | 0.778338i | 0.282687 | − | 0.959212i | \(-0.408774\pi\) |
−0.983506 | + | 0.180874i | \(0.942107\pi\) | |||||||
\(264\) | −2.15550 | − | 2.86447i | −0.132662 | − | 0.176296i | ||||
\(265\) | −16.6632 | − | 2.17785i | −1.02361 | − | 0.133784i | ||||
\(266\) | −0.179798 | + | 0.0382173i | −0.0110241 | + | 0.00234325i | ||||
\(267\) | 0.403350 | + | 1.75250i | 0.0246846 | + | 0.107251i | ||||
\(268\) | 1.48469 | − | 2.57156i | 0.0906920 | − | 0.157083i | ||||
\(269\) | 22.4192 | + | 16.2885i | 1.36692 | + | 0.993127i | 0.997970 | + | 0.0636780i | \(0.0202831\pi\) |
0.368951 | + | 0.929449i | \(0.379717\pi\) | |||||||
\(270\) | 3.86657 | + | 10.9567i | 0.235312 | + | 0.666804i | ||||
\(271\) | 3.02279 | − | 2.19619i | 0.183622 | − | 0.133409i | −0.492177 | − | 0.870495i | \(-0.663799\pi\) |
0.675799 | + | 0.737086i | \(0.263799\pi\) | |||||||
\(272\) | −0.477488 | − | 4.54299i | −0.0289519 | − | 0.275459i | ||||
\(273\) | 1.41186 | − | 3.31990i | 0.0854497 | − | 0.200930i | ||||
\(274\) | −0.632036 | − | 1.09472i | −0.0381827 | − | 0.0661343i | ||||
\(275\) | 1.59970 | − | 10.2243i | 0.0964656 | − | 0.616546i | ||||
\(276\) | 9.04915 | − | 3.10904i | 0.544695 | − | 0.187142i | ||||
\(277\) | 22.2786 | + | 4.73545i | 1.33859 | + | 0.284526i | 0.820914 | − | 0.571052i | \(-0.193464\pi\) |
0.517675 | + | 0.855578i | \(0.326798\pi\) | |||||||
\(278\) | 13.5616 | − | 9.85305i | 0.813369 | − | 0.590947i | ||||
\(279\) | −5.75143 | + | 19.9559i | −0.344329 | + | 1.19473i | ||||
\(280\) | 5.82757 | + | 2.05750i | 0.348264 | + | 0.122959i | ||||
\(281\) | −18.3615 | + | 8.17509i | −1.09536 | + | 0.487685i | −0.873218 | − | 0.487330i | \(-0.837971\pi\) |
−0.222140 | + | 0.975015i | \(0.571304\pi\) | |||||||
\(282\) | 2.09619 | − | 10.7452i | 0.124826 | − | 0.639869i | ||||
\(283\) | −2.49307 | + | 23.7200i | −0.148198 | + | 1.41001i | 0.627358 | + | 0.778731i | \(0.284136\pi\) |
−0.775556 | + | 0.631278i | \(0.782531\pi\) | |||||||
\(284\) | −4.91828 | + | 1.04541i | −0.291846 | + | 0.0620339i | ||||
\(285\) | 0.0247556 | + | 0.256389i | 0.00146639 | + | 0.0151872i | ||||
\(286\) | 1.52570 | + | 0.324297i | 0.0902165 | + | 0.0191761i | ||||
\(287\) | 4.96690 | − | 15.2865i | 0.293187 | − | 0.902335i | ||||
\(288\) | −1.02225 | − | 2.82046i | −0.0602368 | − | 0.166197i | ||||
\(289\) | 1.19489 | + | 3.67751i | 0.0702879 | + | 0.216324i | ||||
\(290\) | −5.78215 | + | 4.94781i | −0.339540 | + | 0.290546i | ||||
\(291\) | −0.253255 | − | 15.0930i | −0.0148461 | − | 0.884769i | ||||
\(292\) | 0.0832345 | − | 0.791923i | 0.00487093 | − | 0.0463438i | ||||
\(293\) | 5.30129 | + | 9.18210i | 0.309704 | + | 0.536424i | 0.978298 | − | 0.207205i | \(-0.0664366\pi\) |
−0.668593 | + | 0.743628i | \(0.733103\pi\) | |||||||
\(294\) | −0.248156 | − | 1.07820i | −0.0144728 | − | 0.0628821i | ||||
\(295\) | −12.3874 | − | 7.57503i | −0.721222 | − | 0.441035i | ||||
\(296\) | 1.39740 | − | 1.01527i | 0.0812223 | − | 0.0590115i | ||||
\(297\) | 9.57253 | + | 4.90190i | 0.555455 | + | 0.284437i | ||||
\(298\) | −5.54792 | − | 17.0747i | −0.321382 | − | 0.989113i | ||||
\(299\) | −2.08160 | + | 3.60544i | −0.120382 | + | 0.208508i | ||||
\(300\) | 3.78705 | − | 7.78834i | 0.218646 | − | 0.449660i | ||||
\(301\) | −15.7365 | − | 27.2565i | −0.907039 | − | 1.57104i | ||||
\(302\) | 4.60741 | − | 5.11704i | 0.265126 | − | 0.294453i | ||||
\(303\) | 8.28682 | − | 11.8178i | 0.476066 | − | 0.678916i | ||||
\(304\) | −0.00695190 | − | 0.0661430i | −0.000398719 | − | 0.00379356i | ||||
\(305\) | 9.46748 | + | 13.7476i | 0.542106 | + | 0.787186i | ||||
\(306\) | 7.24634 | + | 11.6315i | 0.414245 | + | 0.664928i | ||||
\(307\) | 29.9210 | 1.70768 | 0.853842 | − | 0.520532i | \(-0.174266\pi\) | ||||
0.853842 | + | 0.520532i | \(0.174266\pi\) | |||||||
\(308\) | 5.22583 | − | 2.32669i | 0.297769 | − | 0.132576i | ||||
\(309\) | −16.6034 | − | 9.21810i | −0.944537 | − | 0.524399i | ||||
\(310\) | 13.5969 | − | 7.39902i | 0.772249 | − | 0.420236i | ||||
\(311\) | 9.11001 | − | 10.1177i | 0.516581 | − | 0.573721i | −0.427257 | − | 0.904130i | \(-0.640520\pi\) |
0.943838 | + | 0.330409i | \(0.107187\pi\) | |||||||
\(312\) | 1.14122 | + | 0.633595i | 0.0646087 | + | 0.0358702i | ||||
\(313\) | −1.65917 | − | 1.84270i | −0.0937820 | − | 0.104156i | 0.694427 | − | 0.719563i | \(-0.255658\pi\) |
−0.788209 | + | 0.615408i | \(0.788991\pi\) | |||||||
\(314\) | 1.88501 | + | 5.80147i | 0.106377 | + | 0.327396i | ||||
\(315\) | −18.4220 | + | 2.09124i | −1.03796 | + | 0.117828i | ||||
\(316\) | 4.29456 | − | 13.2173i | 0.241588 | − | 0.743531i | ||||
\(317\) | −31.9813 | + | 14.2390i | −1.79625 | + | 0.799742i | −0.823710 | + | 0.567012i | \(0.808099\pi\) |
−0.972541 | + | 0.232731i | \(0.925234\pi\) | |||||||
\(318\) | −12.3107 | + | 4.22962i | −0.690350 | + | 0.237185i | ||||
\(319\) | −0.736301 | + | 7.00544i | −0.0412249 | + | 0.392229i | ||||
\(320\) | −0.960758 | + | 2.01914i | −0.0537080 | + | 0.112874i | ||||
\(321\) | −31.0784 | − | 2.74016i | −1.73463 | − | 0.152941i | ||||
\(322\) | 1.59596 | + | 15.1846i | 0.0889395 | + | 0.846203i | ||||
\(323\) | 0.0938813 | + | 0.288937i | 0.00522370 | + | 0.0160769i | ||||
\(324\) | 6.45715 | + | 6.26939i | 0.358730 | + | 0.348299i | ||||
\(325\) | 0.982082 | + | 3.63786i | 0.0544761 | + | 0.201792i | ||||
\(326\) | 2.11440 | − | 3.66225i | 0.117106 | − | 0.202833i | ||||
\(327\) | −9.37529 | + | 22.0454i | −0.518455 | + | 1.21911i | ||||
\(328\) | 5.31277 | + | 2.36540i | 0.293349 | + | 0.130607i | ||||
\(329\) | 15.9591 | + | 7.10543i | 0.879852 | + | 0.391735i | ||||
\(330\) | −2.41248 | − | 7.64439i | −0.132802 | − | 0.420810i | ||||
\(331\) | 15.0391 | − | 6.69584i | 0.826623 | − | 0.368036i | 0.0505832 | − | 0.998720i | \(-0.483892\pi\) |
0.776040 | + | 0.630683i | \(0.217225\pi\) | |||||||
\(332\) | 15.6917 | 0.861191 | ||||||||
\(333\) | −2.43891 | + | 4.57201i | −0.133651 | + | 0.250545i | ||||
\(334\) | −4.82529 | + | 14.8507i | −0.264028 | + | 0.812596i | ||||
\(335\) | 5.04485 | − | 4.31690i | 0.275630 | − | 0.235858i | ||||
\(336\) | 4.75181 | − | 0.580192i | 0.259233 | − | 0.0316521i | ||||
\(337\) | −1.08211 | + | 0.230010i | −0.0589464 | + | 0.0125294i | −0.237290 | − | 0.971439i | \(-0.576259\pi\) |
0.178344 | + | 0.983968i | \(0.442926\pi\) | |||||||
\(338\) | 12.1604 | − | 2.58477i | 0.661438 | − | 0.140593i | ||||
\(339\) | 16.7582 | − | 2.04616i | 0.910178 | − | 0.111132i | ||||
\(340\) | 2.37518 | − | 9.93440i | 0.128812 | − | 0.538768i | ||||
\(341\) | 4.42764 | − | 13.6269i | 0.239770 | − | 0.737937i | ||||
\(342\) | 0.105502 | + | 0.169347i | 0.00570489 | + | 0.00915722i | ||||
\(343\) | −17.5814 | −0.949304 | ||||||||
\(344\) | 10.4030 | − | 4.63170i | 0.560890 | − | 0.249725i | ||||
\(345\) | 21.3947 | + | 0.181080i | 1.15185 | + | 0.00974902i | ||||
\(346\) | −21.8243 | − | 9.71681i | −1.17328 | − | 0.522379i | ||||
\(347\) | 16.6518 | + | 7.41385i | 0.893915 | + | 0.397996i | 0.801689 | − | 0.597742i | \(-0.203935\pi\) |
0.0922258 | + | 0.995738i | \(0.470602\pi\) | |||||||
\(348\) | −2.30694 | + | 5.42462i | −0.123665 | + | 0.290790i | ||||
\(349\) | 7.71031 | − | 13.3547i | 0.412724 | − | 0.714858i | −0.582463 | − | 0.812857i | \(-0.697911\pi\) |
0.995187 | + | 0.0979991i | \(0.0312442\pi\) | |||||||
\(350\) | 10.7558 | + | 8.67651i | 0.574922 | + | 0.463779i | ||||
\(351\) | −3.91012 | − | 0.212864i | −0.208707 | − | 0.0113619i | ||||
\(352\) | 0.639581 | + | 1.96843i | 0.0340898 | + | 0.104918i | ||||
\(353\) | −2.25479 | − | 21.4529i | −0.120010 | − | 1.14182i | −0.874336 | − | 0.485321i | \(-0.838703\pi\) |
0.754326 | − | 0.656500i | \(-0.227964\pi\) | |||||||
\(354\) | −11.2036 | − | 0.987814i | −0.595466 | − | 0.0525017i | ||||
\(355\) | −11.1485 | − | 1.45709i | −0.591700 | − | 0.0773341i | ||||
\(356\) | 0.108528 | − | 1.03257i | 0.00575195 | − | 0.0547262i | ||||
\(357\) | −20.6810 | + | 7.10541i | −1.09455 | + | 0.376058i | ||||
\(358\) | −16.5462 | + | 7.36684i | −0.874494 | + | 0.389350i | ||||
\(359\) | −6.14818 | + | 18.9222i | −0.324489 | + | 0.998674i | 0.647182 | + | 0.762335i | \(0.275947\pi\) |
−0.971671 | + | 0.236338i | \(0.924053\pi\) | |||||||
\(360\) | −0.0557746 | − | 6.70797i | −0.00293958 | − | 0.353541i | ||||
\(361\) | −5.86996 | − | 18.0659i | −0.308945 | − | 0.950835i | ||||
\(362\) | −10.9594 | − | 12.1716i | −0.576012 | − | 0.639726i | ||||
\(363\) | 10.1705 | + | 5.64658i | 0.533813 | + | 0.296369i | ||||
\(364\) | −1.39371 | + | 1.54788i | −0.0730505 | + | 0.0811308i | ||||
\(365\) | 0.765037 | − | 1.60781i | 0.0400439 | − | 0.0841569i | ||||
\(366\) | 11.3044 | + | 6.27609i | 0.590889 | + | 0.328057i | ||||
\(367\) | 12.7768 | − | 5.68860i | 0.666943 | − | 0.296942i | −0.0451983 | − | 0.998978i | \(-0.514392\pi\) |
0.712142 | + | 0.702036i | \(0.247725\pi\) | |||||||
\(368\) | −5.52428 | −0.287973 | ||||||||
\(369\) | −17.4368 | + | 0.585332i | −0.907725 | + | 0.0304712i | ||||
\(370\) | 3.70224 | − | 1.10043i | 0.192470 | − | 0.0572088i | ||||
\(371\) | −2.17119 | − | 20.6575i | −0.112723 | − | 1.07248i | ||||
\(372\) | 6.88409 | − | 9.81739i | 0.356924 | − | 0.509008i | ||||
\(373\) | 17.0867 | − | 18.9767i | 0.884716 | − | 0.982576i | −0.115227 | − | 0.993339i | \(-0.536759\pi\) |
0.999942 | + | 0.0107631i | \(0.00342607\pi\) | |||||||
\(374\) | −4.72728 | − | 8.18788i | −0.244442 | − | 0.423385i | ||||
\(375\) | 13.7830 | − | 13.6026i | 0.711749 | − | 0.702434i | ||||
\(376\) | −3.16035 | + | 5.47389i | −0.162983 | + | 0.282294i | ||||
\(377\) | −0.792576 | − | 2.43930i | −0.0408197 | − | 0.125630i | ||||
\(378\) | −12.0602 | + | 7.79731i | −0.620311 | + | 0.401050i | ||||
\(379\) | −20.5734 | + | 14.9474i | −1.05678 | + | 0.767798i | −0.973491 | − | 0.228727i | \(-0.926544\pi\) |
−0.0832927 | + | 0.996525i | \(0.526544\pi\) | |||||||
\(380\) | 0.0345811 | − | 0.144638i | 0.00177397 | − | 0.00741979i | ||||
\(381\) | 6.21851 | + | 27.0186i | 0.318584 | + | 1.38420i | ||||
\(382\) | −4.06037 | − | 7.03276i | −0.207746 | − | 0.359827i | ||||
\(383\) | −1.58112 | + | 15.0434i | −0.0807916 | + | 0.768681i | 0.876859 | + | 0.480748i | \(0.159635\pi\) |
−0.957651 | + | 0.287933i | \(0.907032\pi\) | |||||||
\(384\) | 0.0290591 | + | 1.73181i | 0.00148292 | + | 0.0883759i | ||||
\(385\) | 12.7508 | − | 1.01555i | 0.649841 | − | 0.0517571i | ||||
\(386\) | −4.04899 | − | 12.4615i | −0.206088 | − | 0.634275i | ||||
\(387\) | −21.9945 | + | 26.1402i | −1.11804 | + | 1.32878i | ||||
\(388\) | −2.69314 | + | 8.28864i | −0.136724 | + | 0.420792i | ||||
\(389\) | 7.51323 | + | 1.59699i | 0.380936 | + | 0.0809704i | 0.394400 | − | 0.918939i | \(-0.370953\pi\) |
−0.0134640 | + | 0.999909i | \(0.504286\pi\) | |||||||
\(390\) | 1.93460 | + | 2.18550i | 0.0979621 | + | 0.110667i | ||||
\(391\) | 24.6836 | − | 5.24665i | 1.24830 | − | 0.265335i | ||||
\(392\) | −0.0667703 | + | 0.635277i | −0.00337241 | + | 0.0320863i | ||||
\(393\) | 5.63205 | − | 28.8703i | 0.284099 | − | 1.45631i | ||||
\(394\) | −10.4296 | + | 4.64357i | −0.525437 | + | 0.233939i | ||||
\(395\) | 18.8946 | − | 24.6718i | 0.950689 | − | 1.24137i | ||||
\(396\) | −4.30723 | − | 4.47234i | −0.216446 | − | 0.224743i | ||||
\(397\) | −18.0107 | + | 13.0855i | −0.903931 | + | 0.656744i | −0.939473 | − | 0.342624i | \(-0.888684\pi\) |
0.0355417 | + | 0.999368i | \(0.488684\pi\) | |||||||
\(398\) | −1.05027 | − | 0.223242i | −0.0526453 | − | 0.0111901i | ||||
\(399\) | −0.301101 | + | 0.103450i | −0.0150739 | + | 0.00517898i | ||||
\(400\) | −3.52889 | + | 3.54216i | −0.176445 | + | 0.177108i | ||||
\(401\) | 7.27370 | + | 12.5984i | 0.363231 | + | 0.629135i | 0.988491 | − | 0.151282i | \(-0.0483402\pi\) |
−0.625259 | + | 0.780417i | \(0.715007\pi\) | |||||||
\(402\) | 2.01278 | − | 4.73291i | 0.100388 | − | 0.236056i | ||||
\(403\) | 0.545333 | + | 5.18850i | 0.0271650 | + | 0.258458i | ||||
\(404\) | −6.74179 | + | 4.89820i | −0.335417 | + | 0.243694i | ||||
\(405\) | 8.94780 | + | 18.0260i | 0.444620 | + | 0.895719i | ||||
\(406\) | −7.60986 | − | 5.52889i | −0.377671 | − | 0.274394i | ||||
\(407\) | 1.78750 | − | 3.09605i | 0.0886033 | − | 0.153465i | ||||
\(408\) | −1.77461 | − | 7.71045i | −0.0878565 | − | 0.381724i | ||||
\(409\) | 14.4643 | − | 3.07447i | 0.715211 | − | 0.152023i | 0.164087 | − | 0.986446i | \(-0.447532\pi\) |
0.551125 | + | 0.834423i | \(0.314199\pi\) | |||||||
\(410\) | 9.44114 | + | 8.94248i | 0.466265 | + | 0.441638i | ||||
\(411\) | −1.31645 | − | 1.74945i | −0.0649359 | − | 0.0862940i | ||||
\(412\) | 7.33655 | + | 8.14806i | 0.361446 | + | 0.401426i | ||||
\(413\) | 5.54592 | − | 17.0686i | 0.272897 | − | 0.839891i | ||||
\(414\) | 14.9054 | − | 7.24494i | 0.732559 | − | 0.356069i | ||||
\(415\) | 33.0860 | + | 11.6814i | 1.62413 | + | 0.573419i | ||||
\(416\) | −0.504269 | − | 0.560047i | −0.0247238 | − | 0.0274586i | ||||
\(417\) | 21.2478 | − | 19.7871i | 1.04051 | − | 0.968977i | ||||
\(418\) | −0.0688260 | − | 0.119210i | −0.00336639 | − | 0.00583076i | ||||
\(419\) | 2.89966 | − | 27.5884i | 0.141658 | − | 1.34778i | −0.660570 | − | 0.750764i | \(-0.729686\pi\) |
0.802228 | − | 0.597018i | \(-0.203648\pi\) | |||||||
\(420\) | 10.4512 | + | 2.31408i | 0.509964 | + | 0.112916i | ||||
\(421\) | −2.26361 | − | 21.5368i | −0.110322 | − | 1.04964i | −0.899932 | − | 0.436031i | \(-0.856384\pi\) |
0.789610 | − | 0.613609i | \(-0.210283\pi\) | |||||||
\(422\) | −16.0750 | + | 11.6792i | −0.782518 | + | 0.568532i | ||||
\(423\) | 1.34827 | − | 18.9141i | 0.0655553 | − | 0.919636i | ||||
\(424\) | 7.51539 | 0.364979 | ||||||||
\(425\) | 12.4036 | − | 19.1786i | 0.601664 | − | 0.930299i | ||||
\(426\) | −8.23646 | + | 2.82982i | −0.399058 | + | 0.137105i | ||||
\(427\) | −13.8055 | + | 15.3325i | −0.668094 | + | 0.741994i | ||||
\(428\) | 16.4555 | + | 7.32644i | 0.795405 | + | 0.354137i | ||||
\(429\) | 2.69119 | + | 0.237279i | 0.129932 | + | 0.0114560i | ||||
\(430\) | 25.3828 | − | 2.02163i | 1.22407 | − | 0.0974918i | ||||
\(431\) | −16.5013 | − | 11.9889i | −0.794840 | − | 0.577485i | 0.114556 | − | 0.993417i | \(-0.463455\pi\) |
−0.909396 | + | 0.415932i | \(0.863455\pi\) | |||||||
\(432\) | −2.34962 | − | 4.63457i | −0.113046 | − | 0.222981i | ||||
\(433\) | −24.9139 | − | 18.1010i | −1.19729 | − | 0.869879i | −0.203270 | − | 0.979123i | \(-0.565157\pi\) |
−0.994015 | + | 0.109244i | \(0.965157\pi\) | |||||||
\(434\) | 12.8026 | + | 14.2188i | 0.614546 | + | 0.682522i | ||||
\(435\) | −8.90249 | + | 9.72050i | −0.426842 | + | 0.466062i | ||||
\(436\) | 9.25479 | − | 10.2785i | 0.443224 | − | 0.492250i | ||||
\(437\) | 0.359376 | − | 0.0763878i | 0.0171913 | − | 0.00365413i | ||||
\(438\) | −0.0231393 | − | 1.37901i | −0.00110564 | − | 0.0658918i | ||||
\(439\) | 2.04413 | + | 0.434493i | 0.0975610 | + | 0.0207372i | 0.256433 | − | 0.966562i | \(-0.417453\pi\) |
−0.158872 | + | 0.987299i | \(0.550786\pi\) | |||||||
\(440\) | −0.116807 | + | 4.62658i | −0.00556857 | + | 0.220564i | ||||
\(441\) | −0.652990 | − | 1.80164i | −0.0310948 | − | 0.0857925i | ||||
\(442\) | 2.78507 | + | 2.02347i | 0.132472 | + | 0.0962468i | ||||
\(443\) | 12.2352 | − | 21.1920i | 0.581313 | − | 1.00686i | −0.414012 | − | 0.910272i | \(-0.635873\pi\) |
0.995324 | − | 0.0965913i | \(-0.0307940\pi\) | |||||||
\(444\) | 2.18940 | − | 2.03889i | 0.103904 | − | 0.0967612i | ||||
\(445\) | 0.997515 | − | 2.09639i | 0.0472868 | − | 0.0993786i | ||||
\(446\) | −16.2679 | − | 7.24294i | −0.770308 | − | 0.342963i | ||||
\(447\) | −13.1228 | − | 28.1917i | −0.620688 | − | 1.33342i | ||||
\(448\) | −2.70344 | − | 0.574633i | −0.127725 | − | 0.0271489i | ||||
\(449\) | −13.1523 | −0.620697 | −0.310349 | − | 0.950623i | \(-0.600446\pi\) | ||||
−0.310349 | + | 0.950623i | \(0.600446\pi\) | |||||||
\(450\) | 4.87606 | − | 14.1853i | 0.229860 | − | 0.668704i | ||||
\(451\) | 12.0366 | 0.566782 | ||||||||
\(452\) | −9.53418 | − | 2.02655i | −0.448450 | − | 0.0953210i | ||||
\(453\) | 6.84725 | − | 9.76484i | 0.321712 | − | 0.458792i | ||||
\(454\) | 2.44561 | + | 1.08885i | 0.114778 | + | 0.0511025i | ||||
\(455\) | −4.09096 | + | 2.22618i | −0.191787 | + | 0.104365i | ||||
\(456\) | −0.0258372 | − | 0.112259i | −0.00120994 | − | 0.00525701i | ||||
\(457\) | −1.19032 | + | 2.06169i | −0.0556807 | + | 0.0964418i | −0.892522 | − | 0.451003i | \(-0.851066\pi\) |
0.836842 | + | 0.547445i | \(0.184400\pi\) | |||||||
\(458\) | 21.6465 | + | 15.7271i | 1.01147 | + | 0.734878i | ||||
\(459\) | 14.9002 | + | 18.4766i | 0.695482 | + | 0.862416i | ||||
\(460\) | −11.6480 | − | 4.11248i | −0.543091 | − | 0.191745i | ||||
\(461\) | 18.4208 | + | 3.91547i | 0.857943 | + | 0.182361i | 0.615823 | − | 0.787885i | \(-0.288824\pi\) |
0.242120 | + | 0.970246i | \(0.422157\pi\) | |||||||
\(462\) | 8.49626 | − | 5.09726i | 0.395282 | − | 0.237146i | ||||
\(463\) | −32.2995 | + | 6.86547i | −1.50109 | + | 0.319066i | −0.883871 | − | 0.467730i | \(-0.845072\pi\) |
−0.617214 | + | 0.786795i | \(0.711739\pi\) | |||||||
\(464\) | 2.27729 | − | 2.52919i | 0.105721 | − | 0.117415i | ||||
\(465\) | 21.8236 | − | 15.5753i | 1.01205 | − | 0.722287i | ||||
\(466\) | −2.40275 | − | 2.66852i | −0.111305 | − | 0.123617i | ||||
\(467\) | 21.8609 | + | 15.8829i | 1.01160 | + | 0.734972i | 0.964545 | − | 0.263920i | \(-0.0850155\pi\) |
0.0470578 | + | 0.998892i | \(0.485016\pi\) | |||||||
\(468\) | 2.09508 | + | 0.849761i | 0.0968451 | + | 0.0392802i | ||||
\(469\) | 6.63951 | + | 4.82389i | 0.306584 | + | 0.222746i | ||||
\(470\) | −10.7386 | + | 9.18907i | −0.495335 | + | 0.423860i | ||||
\(471\) | 4.45873 | + | 9.57867i | 0.205448 | + | 0.441362i | ||||
\(472\) | 5.93212 | + | 2.64115i | 0.273048 | + | 0.121569i | ||||
\(473\) | 15.7707 | − | 17.5152i | 0.725138 | − | 0.805348i | ||||
\(474\) | 4.60895 | − | 23.6258i | 0.211696 | − | 1.08517i | ||||
\(475\) | 0.180589 | − | 0.279228i | 0.00828597 | − | 0.0128119i | ||||
\(476\) | 12.6252 | 0.578677 | ||||||||
\(477\) | −20.2777 | + | 9.85621i | −0.928451 | + | 0.451285i | ||||
\(478\) | 7.11964 | − | 5.17272i | 0.325645 | − | 0.236595i | ||||
\(479\) | 1.69851 | + | 16.1603i | 0.0776071 | + | 0.738382i | 0.962260 | + | 0.272132i | \(0.0877287\pi\) |
−0.884653 | + | 0.466250i | \(0.845605\pi\) | |||||||
\(480\) | −1.22795 | + | 3.67316i | −0.0560480 | + | 0.167656i | ||||
\(481\) | −0.136066 | + | 1.29458i | −0.00620407 | + | 0.0590278i | ||||
\(482\) | −8.87275 | − | 15.3681i | −0.404143 | − | 0.699996i | ||||
\(483\) | 5.93150 | + | 25.7715i | 0.269893 | + | 1.17264i | ||||
\(484\) | −4.49403 | − | 4.99113i | −0.204274 | − | 0.226869i | ||||
\(485\) | −11.8489 | + | 15.4718i | −0.538030 | + | 0.702538i | ||||
\(486\) | 12.4178 | + | 9.42335i | 0.563281 | + | 0.427452i | ||||
\(487\) | −2.77191 | + | 8.53106i | −0.125607 | + | 0.386579i | −0.994011 | − | 0.109278i | \(-0.965146\pi\) |
0.868404 | + | 0.495857i | \(0.165146\pi\) | |||||||
\(488\) | −4.99505 | − | 5.54757i | −0.226115 | − | 0.251126i | ||||
\(489\) | 2.86646 | − | 6.74029i | 0.129626 | − | 0.304807i | ||||
\(490\) | −0.613709 | + | 1.28978i | −0.0277246 | + | 0.0582664i | ||||
\(491\) | −28.0822 | + | 5.96906i | −1.26733 | + | 0.269380i | −0.792051 | − | 0.610454i | \(-0.790987\pi\) |
−0.475281 | + | 0.879834i | \(0.657654\pi\) | |||||||
\(492\) | 9.63070 | + | 2.95151i | 0.434186 | + | 0.133064i | ||||
\(493\) | −7.77329 | + | 13.4637i | −0.350091 | + | 0.606376i | ||||
\(494\) | 0.0405488 | + | 0.0294604i | 0.00182438 | + | 0.00132549i | ||||
\(495\) | −5.75246 | − | 12.6364i | −0.258554 | − | 0.567965i | ||||
\(496\) | −5.60059 | + | 4.06907i | −0.251474 | + | 0.182707i | ||||
\(497\) | −1.45263 | − | 13.8209i | −0.0651594 | − | 0.619951i | ||||
\(498\) | 26.9784 | − | 3.29404i | 1.20893 | − | 0.147609i | ||||
\(499\) | 2.74633 | + | 4.75678i | 0.122942 | + | 0.212943i | 0.920927 | − | 0.389736i | \(-0.127434\pi\) |
−0.797984 | + | 0.602678i | \(0.794100\pi\) | |||||||
\(500\) | −10.0776 | + | 4.84165i | −0.450685 | + | 0.216525i | ||||
\(501\) | −5.17853 | + | 26.5455i | −0.231360 | + | 1.18597i | ||||
\(502\) | 13.3704 | + | 2.84196i | 0.596749 | + | 0.126843i | ||||
\(503\) | −15.0901 | + | 10.9636i | −0.672835 | + | 0.488843i | −0.870973 | − | 0.491331i | \(-0.836511\pi\) |
0.198138 | + | 0.980174i | \(0.436511\pi\) | |||||||
\(504\) | 8.04791 | − | 1.99503i | 0.358482 | − | 0.0888657i | ||||
\(505\) | −17.8615 | + | 5.30906i | −0.794828 | + | 0.236250i | ||||
\(506\) | −10.4453 | + | 4.65053i | −0.464349 | + | 0.206741i | ||||
\(507\) | 20.3645 | − | 6.99670i | 0.904421 | − | 0.310734i | ||||
\(508\) | 1.67319 | − | 15.9193i | 0.0742357 | − | 0.706305i | ||||
\(509\) | −33.1861 | + | 7.05392i | −1.47095 | + | 0.312659i | −0.872544 | − | 0.488536i | \(-0.837531\pi\) |
−0.598403 | + | 0.801195i | \(0.704198\pi\) | |||||||
\(510\) | 1.99815 | − | 17.5786i | 0.0884795 | − | 0.778396i | ||||
\(511\) | 2.15271 | + | 0.457572i | 0.0952301 | + | 0.0202418i | ||||
\(512\) | 0.309017 | − | 0.951057i | 0.0136568 | − | 0.0420312i | ||||
\(513\) | 0.216937 | + | 0.269008i | 0.00957802 | + | 0.0118770i | ||||
\(514\) | −4.03530 | − | 12.4194i | −0.177990 | − | 0.547795i | ||||
\(515\) | 9.40347 | + | 22.6419i | 0.414366 | + | 0.997720i | ||||
\(516\) | 16.9133 | − | 10.1470i | 0.744568 | − | 0.446698i | ||||
\(517\) | −1.36746 | + | 13.0105i | −0.0601407 | + | 0.572200i | ||||
\(518\) | 2.38696 | + | 4.13434i | 0.104877 | + | 0.181652i | ||||
\(519\) | −39.5619 | − | 12.1245i | −1.73658 | − | 0.532207i | ||||
\(520\) | −0.646336 | − | 1.55626i | −0.0283437 | − | 0.0682466i | ||||
\(521\) | −23.3645 | + | 16.9753i | −1.02362 | + | 0.743701i | −0.967021 | − | 0.254696i | \(-0.918025\pi\) |
−0.0565960 | + | 0.998397i | \(0.518025\pi\) | |||||||
\(522\) | −2.82753 | + | 9.81074i | −0.123758 | + | 0.429404i | ||||
\(523\) | 5.06625 | + | 15.5923i | 0.221532 | + | 0.681804i | 0.998625 | + | 0.0524191i | \(0.0166932\pi\) |
−0.777094 | + | 0.629385i | \(0.783307\pi\) | |||||||
\(524\) | −8.49124 | + | 14.7073i | −0.370942 | + | 0.642490i | ||||
\(525\) | 20.3137 | + | 12.6595i | 0.886562 | + | 0.552505i | ||||
\(526\) | 8.49264 | + | 14.7097i | 0.370297 | + | 0.641373i | ||||
\(527\) | 21.1600 | − | 23.5005i | 0.921742 | − | 1.02370i | ||||
\(528\) | 1.51284 | + | 3.25002i | 0.0658379 | + | 0.141439i | ||||
\(529\) | −0.785815 | − | 7.47653i | −0.0341659 | − | 0.325067i | ||||
\(530\) | 15.8463 | + | 5.59473i | 0.688318 | + | 0.243020i | ||||
\(531\) | −19.4696 | + | 0.653569i | −0.844907 | + | 0.0283625i | ||||
\(532\) | 0.183815 | 0.00796939 | ||||||||
\(533\) | −4.00380 | + | 1.78261i | −0.173424 | + | 0.0772132i | ||||
\(534\) | −0.0301709 | − | 1.79806i | −0.00130562 | − | 0.0778098i | ||||
\(535\) | 29.2424 | + | 27.6979i | 1.26426 | + | 1.19749i | ||||
\(536\) | −1.98691 | + | 2.20668i | −0.0858213 | + | 0.0953142i | ||||
\(537\) | −26.9011 | + | 16.1391i | −1.16087 | + | 0.696454i | ||||
\(538\) | −18.5427 | − | 20.5938i | −0.799433 | − | 0.887860i | ||||
\(539\) | 0.408549 | + | 1.25739i | 0.0175975 | + | 0.0541594i | ||||
\(540\) | −1.50405 | − | 11.5212i | −0.0647240 | − | 0.495793i | ||||
\(541\) | −2.45867 | + | 7.56701i | −0.105707 | + | 0.325331i | −0.989896 | − | 0.141798i | \(-0.954712\pi\) |
0.884189 | + | 0.467129i | \(0.154712\pi\) | |||||||
\(542\) | −3.41335 | + | 1.51972i | −0.146616 | + | 0.0652777i | ||||
\(543\) | −21.3974 | − | 18.6258i | −0.918248 | − | 0.799310i | ||||
\(544\) | −0.477488 | + | 4.54299i | −0.0204721 | + | 0.194779i | ||||
\(545\) | 27.1655 | − | 14.7827i | 1.16364 | − | 0.633221i | ||||
\(546\) | −2.07125 | + | 2.95381i | −0.0886415 | + | 0.126411i | ||||
\(547\) | −3.38757 | − | 32.2306i | −0.144842 | − | 1.37808i | −0.789566 | − | 0.613666i | \(-0.789694\pi\) |
0.644724 | − | 0.764416i | \(-0.276972\pi\) | |||||||
\(548\) | 0.390620 | + | 1.20220i | 0.0166864 | + | 0.0513556i | ||||
\(549\) | 20.7529 | + | 8.41733i | 0.885712 | + | 0.359243i | ||||
\(550\) | −3.69049 | + | 9.66824i | −0.157363 | + | 0.412255i | ||||
\(551\) | −0.113174 | + | 0.196023i | −0.00482137 | + | 0.00835086i | ||||
\(552\) | −9.49781 | + | 1.15967i | −0.404253 | + | 0.0493590i | ||||
\(553\) | 35.0896 | + | 15.6229i | 1.49216 | + | 0.664353i | ||||
\(554\) | −20.8072 | − | 9.26394i | −0.884012 | − | 0.393587i | ||||
\(555\) | 6.13419 | − | 2.66914i | 0.260382 | − | 0.113299i | ||||
\(556\) | −15.3138 | + | 6.81813i | −0.649449 | + | 0.289153i | ||||
\(557\) | −39.2468 | −1.66294 | −0.831470 | − | 0.555569i | \(-0.812500\pi\) | ||||
−0.831470 | + | 0.555569i | \(0.812500\pi\) | |||||||
\(558\) | 9.77481 | − | 18.3240i | 0.413801 | − | 0.775717i | ||||
\(559\) | −2.65192 | + | 8.16177i | −0.112164 | + | 0.345206i | ||||
\(560\) | −5.27245 | − | 3.22416i | −0.222802 | − | 0.136246i | ||||
\(561\) | −9.84635 | − | 13.0849i | −0.415713 | − | 0.552446i | ||||
\(562\) | 19.6600 | − | 4.17886i | 0.829307 | − | 0.176275i | ||||
\(563\) | −23.1371 | + | 4.91795i | −0.975114 | + | 0.207267i | −0.667800 | − | 0.744341i | \(-0.732764\pi\) |
−0.307314 | + | 0.951608i | \(0.599430\pi\) | |||||||
\(564\) | −4.28444 | + | 10.0746i | −0.180408 | + | 0.424217i | ||||
\(565\) | −18.5943 | − | 11.3706i | −0.782267 | − | 0.478365i | ||||
\(566\) | 7.37026 | − | 22.6833i | 0.309795 | − | 0.953452i | ||||
\(567\) | −19.0981 | + | 15.9375i | −0.802044 | + | 0.669312i | ||||
\(568\) | 5.02816 | 0.210977 | ||||||||
\(569\) | 4.10453 | − | 1.82745i | 0.172071 | − | 0.0766109i | −0.318893 | − | 0.947791i | \(-0.603311\pi\) |
0.490964 | + | 0.871180i | \(0.336645\pi\) | |||||||
\(570\) | 0.0290917 | − | 0.255933i | 0.00121852 | − | 0.0107199i | ||||
\(571\) | −1.90197 | − | 0.846811i | −0.0795949 | − | 0.0354379i | 0.366553 | − | 0.930397i | \(-0.380538\pi\) |
−0.446148 | + | 0.894959i | \(0.647204\pi\) | |||||||
\(572\) | −1.42493 | − | 0.634421i | −0.0595795 | − | 0.0265265i | ||||
\(573\) | −8.45725 | − | 11.2389i | −0.353307 | − | 0.469513i | ||||
\(574\) | −8.03661 | + | 13.9198i | −0.335441 | + | 0.581002i | ||||
\(575\) | −21.4985 | − | 17.3424i | −0.896548 | − | 0.723228i | ||||
\(576\) | 0.413507 | + | 2.97137i | 0.0172295 | + | 0.123807i | ||||
\(577\) | 5.77193 | + | 17.7642i | 0.240289 | + | 0.739532i | 0.996376 | + | 0.0850612i | \(0.0271086\pi\) |
−0.756087 | + | 0.654471i | \(0.772891\pi\) | |||||||
\(578\) | −0.404186 | − | 3.84558i | −0.0168119 | − | 0.159955i | ||||
\(579\) | −9.57732 | − | 20.5749i | −0.398020 | − | 0.855064i | ||||
\(580\) | 6.68451 | − | 3.63752i | 0.277559 | − | 0.151040i | ||||
\(581\) | −4.53331 | + | 43.1315i | −0.188073 | + | 1.78940i | ||||
\(582\) | −2.89030 | + | 14.8159i | −0.119807 | + | 0.614137i | ||||
\(583\) | 14.2100 | − | 6.32671i | 0.588519 | − | 0.262026i | ||||
\(584\) | −0.246066 | + | 0.757312i | −0.0101823 | + | 0.0313378i | ||||
\(585\) | 3.78491 | + | 3.35138i | 0.156487 | + | 0.138563i | ||||
\(586\) | −3.27637 | − | 10.0836i | −0.135346 | − | 0.416552i | ||||
\(587\) | 5.23045 | + | 5.80901i | 0.215884 | + | 0.239763i | 0.841354 | − | 0.540485i | \(-0.181759\pi\) |
−0.625470 | + | 0.780248i | \(0.715093\pi\) | |||||||
\(588\) | 0.0185622 | + | 1.10624i | 0.000765494 | + | 0.0456204i | ||||
\(589\) | 0.308075 | − | 0.342152i | 0.0126940 | − | 0.0140981i | ||||
\(590\) | 10.5418 | + | 9.98498i | 0.433998 | + | 0.411075i | ||||
\(591\) | −16.9567 | + | 10.1730i | −0.697504 | + | 0.418462i | ||||
\(592\) | −1.57795 | + | 0.702549i | −0.0648534 | + | 0.0288746i | ||||
\(593\) | −28.0328 | −1.15117 | −0.575585 | − | 0.817742i | \(-0.695226\pi\) | ||||
−0.575585 | + | 0.817742i | \(0.695226\pi\) | |||||||
\(594\) | −8.34419 | − | 6.78502i | −0.342366 | − | 0.278393i | ||||
\(595\) | 26.6204 | + | 9.39869i | 1.09133 | + | 0.385309i | ||||
\(596\) | 1.87665 | + | 17.8551i | 0.0768704 | + | 0.731373i | ||||
\(597\) | −1.85258 | − | 0.163340i | −0.0758209 | − | 0.00668506i | ||||
\(598\) | 2.78572 | − | 3.09386i | 0.113917 | − | 0.126517i | ||||
\(599\) | −18.1642 | − | 31.4612i | −0.742167 | − | 1.28547i | −0.951507 | − | 0.307628i | \(-0.900465\pi\) |
0.209339 | − | 0.977843i | \(-0.432869\pi\) | |||||||
\(600\) | −5.32358 | + | 6.83077i | −0.217334 | + | 0.278865i | ||||
\(601\) | −7.22866 | + | 12.5204i | −0.294863 | + | 0.510718i | −0.974953 | − | 0.222411i | \(-0.928607\pi\) |
0.680090 | + | 0.733129i | \(0.261941\pi\) | |||||||
\(602\) | 9.72571 | + | 29.9327i | 0.396390 | + | 1.21996i | ||||
\(603\) | 2.46698 | − | 8.55974i | 0.100463 | − | 0.348580i | ||||
\(604\) | −5.57062 | + | 4.04729i | −0.226665 | + | 0.164682i | ||||
\(605\) | −5.76013 | − | 13.8694i | −0.234183 | − | 0.563870i | ||||
\(606\) | −10.5628 | + | 9.83664i | −0.429084 | + | 0.399586i | ||||
\(607\) | 11.7111 | + | 20.2843i | 0.475341 | + | 0.823314i | 0.999601 | − | 0.0282440i | \(-0.00899154\pi\) |
−0.524261 | + | 0.851558i | \(0.675658\pi\) | |||||||
\(608\) | −0.00695190 | + | 0.0661430i | −0.000281937 | + | 0.00268245i | ||||
\(609\) | −14.2441 | − | 7.90824i | −0.577202 | − | 0.320458i | ||||
\(610\) | −6.40230 | − | 15.4156i | −0.259222 | − | 0.624159i | ||||
\(611\) | −1.47197 | − | 4.53026i | −0.0595495 | − | 0.183275i | ||||
\(612\) | −4.66966 | − | 12.8839i | −0.188760 | − | 0.520801i | ||||
\(613\) | −3.60885 | + | 11.1069i | −0.145760 | + | 0.448603i | −0.997108 | − | 0.0759984i | \(-0.975786\pi\) |
0.851348 | + | 0.524601i | \(0.175786\pi\) | |||||||
\(614\) | −29.2672 | − | 6.22093i | −1.18113 | − | 0.251056i | ||||
\(615\) | 18.1092 | + | 13.3927i | 0.730234 | + | 0.540048i | ||||
\(616\) | −5.59538 | + | 1.18934i | −0.225444 | + | 0.0479197i | ||||
\(617\) | −0.524675 | + | 4.99195i | −0.0211226 | + | 0.200968i | −0.999994 | − | 0.00350946i | \(-0.998883\pi\) |
0.978871 | + | 0.204478i | \(0.0655496\pi\) | |||||||
\(618\) | 14.3241 | + | 12.4687i | 0.576198 | + | 0.501565i | ||||
\(619\) | 0.232630 | − | 0.103574i | 0.00935020 | − | 0.00416298i | −0.402056 | − | 0.915615i | \(-0.631704\pi\) |
0.411406 | + | 0.911452i | \(0.365038\pi\) | |||||||
\(620\) | −14.8381 | + | 4.41039i | −0.595911 | + | 0.177125i | ||||
\(621\) | 24.1057 | − | 15.5851i | 0.967328 | − | 0.625408i | ||||
\(622\) | −11.0145 | + | 8.00252i | −0.441642 | + | 0.320872i | ||||
\(623\) | 2.80687 | + | 0.596618i | 0.112455 | + | 0.0239030i | ||||
\(624\) | −0.984547 | − | 0.857022i | −0.0394134 | − | 0.0343083i | ||||
\(625\) | −24.8531 | + | 2.70651i | −0.994123 | + | 0.108260i | ||||
\(626\) | 1.23980 | + | 2.14739i | 0.0495523 | + | 0.0858271i | ||||
\(627\) | −0.143356 | − | 0.190508i | −0.00572510 | − | 0.00760815i | ||||
\(628\) | −0.637627 | − | 6.06661i | −0.0254441 | − | 0.242084i | ||||
\(629\) | 6.38335 | − | 4.63778i | 0.254521 | − | 0.184920i | ||||
\(630\) | 18.4543 | + | 1.78462i | 0.735236 | + | 0.0711010i | ||||
\(631\) | −15.5311 | − | 11.2840i | −0.618282 | − | 0.449208i | 0.234039 | − | 0.972227i | \(-0.424806\pi\) |
−0.852321 | + | 0.523019i | \(0.824806\pi\) | |||||||
\(632\) | −6.94874 | + | 12.0356i | −0.276406 | + | 0.478750i | ||||
\(633\) | −25.1857 | + | 23.4543i | −1.00104 | + | 0.932224i | ||||
\(634\) | 34.2429 | − | 7.27856i | 1.35996 | − | 0.289069i | ||||
\(635\) | 15.3789 | − | 32.3204i | 0.610291 | − | 1.28260i | ||||
\(636\) | 12.9211 | − | 1.57765i | 0.512354 | − | 0.0625580i | ||||
\(637\) | −0.322115 | − | 0.357745i | −0.0127627 | − | 0.0141744i | ||||
\(638\) | 2.17672 | − | 6.69927i | 0.0861773 | − | 0.265226i | ||||
\(639\) | −13.5668 | + | 6.59428i | −0.536693 | + | 0.260866i | ||||
\(640\) | 1.35957 | − | 1.77527i | 0.0537416 | − | 0.0701736i | ||||
\(641\) | 5.79918 | + | 6.44064i | 0.229054 | + | 0.254390i | 0.846706 | − | 0.532062i | \(-0.178583\pi\) |
−0.617652 | + | 0.786452i | \(0.711916\pi\) | |||||||
\(642\) | 29.8296 | + | 9.14185i | 1.17728 | + | 0.360800i | ||||
\(643\) | 15.6629 | + | 27.1289i | 0.617683 | + | 1.06986i | 0.989907 | + | 0.141715i | \(0.0452617\pi\) |
−0.372225 | + | 0.928143i | \(0.621405\pi\) | |||||||
\(644\) | 1.59596 | − | 15.1846i | 0.0628897 | − | 0.598356i | ||||
\(645\) | 43.2158 | − | 8.80419i | 1.70162 | − | 0.346665i | ||||
\(646\) | −0.0317564 | − | 0.302142i | −0.00124944 | − | 0.0118876i | ||||
\(647\) | 12.2140 | − | 8.87401i | 0.480183 | − | 0.348873i | −0.321213 | − | 0.947007i | \(-0.604091\pi\) |
0.801397 | + | 0.598133i | \(0.204091\pi\) | |||||||
\(648\) | −5.01257 | − | 7.47490i | −0.196912 | − | 0.293642i | ||||
\(649\) | 13.4398 | 0.527559 | ||||||||
\(650\) | −0.204268 | − | 3.76255i | −0.00801204 | − | 0.147579i | ||||
\(651\) | 24.9962 | + | 21.7585i | 0.979678 | + | 0.852783i | ||||
\(652\) | −2.82962 | + | 3.14261i | −0.110816 | + | 0.123074i | ||||
\(653\) | 15.3366 | + | 6.82831i | 0.600169 | + | 0.267212i | 0.684251 | − | 0.729246i | \(-0.260129\pi\) |
−0.0840822 | + | 0.996459i | \(0.526796\pi\) | |||||||
\(654\) | 13.7539 | − | 19.6144i | 0.537821 | − | 0.766985i | ||||
\(655\) | −28.8525 | + | 24.6892i | −1.12736 | + | 0.964688i | ||||
\(656\) | −4.70488 | − | 3.41829i | −0.183695 | − | 0.133462i | ||||
\(657\) | −0.329269 | − | 2.36605i | −0.0128460 | − | 0.0923086i | ||||
\(658\) | −14.1330 | − | 10.2682i | −0.550962 | − | 0.400298i | ||||
\(659\) | 28.3496 | + | 31.4855i | 1.10434 | + | 1.22650i | 0.971921 | + | 0.235306i | \(0.0756092\pi\) |
0.132423 | + | 0.991193i | \(0.457724\pi\) | |||||||
\(660\) | 0.770401 | + | 7.97892i | 0.0299878 | + | 0.310579i | ||||
\(661\) | 13.6355 | − | 15.1438i | 0.530359 | − | 0.589024i | −0.417116 | − | 0.908853i | \(-0.636959\pi\) |
0.947475 | + | 0.319830i | \(0.103626\pi\) | |||||||
\(662\) | −16.1026 | + | 3.42271i | −0.625845 | + | 0.133028i | ||||
\(663\) | 5.21310 | + | 2.89427i | 0.202460 | + | 0.112404i | ||||
\(664\) | −15.3488 | − | 3.26248i | −0.595647 | − | 0.126609i | ||||
\(665\) | 0.387576 | + | 0.136839i | 0.0150295 | + | 0.00530638i | ||||
\(666\) | 3.33619 | − | 3.96503i | 0.129275 | − | 0.153642i | ||||
\(667\) | 15.2104 | + | 11.0510i | 0.588950 | + | 0.427897i | ||||
\(668\) | 7.80749 | − | 13.5230i | 0.302081 | − | 0.523219i | ||||
\(669\) | −29.4896 | − | 9.03765i | −1.14013 | − | 0.349416i | ||||
\(670\) | −5.83215 | + | 3.17369i | −0.225315 | + | 0.122610i | ||||
\(671\) | −14.1147 | − | 6.28428i | −0.544893 | − | 0.242602i | ||||
\(672\) | −4.76860 | − | 0.420443i | −0.183953 | − | 0.0162190i | ||||
\(673\) | −34.3204 | − | 7.29504i | −1.32296 | − | 0.281203i | −0.508316 | − | 0.861170i | \(-0.669732\pi\) |
−0.814640 | + | 0.579967i | \(0.803065\pi\) | |||||||
\(674\) | 1.10629 | 0.0426126 | ||||||||
\(675\) | 5.40549 | − | 25.4122i | 0.208058 | − | 0.978117i | ||||
\(676\) | −12.4321 | −0.478156 | ||||||||
\(677\) | −3.87181 | − | 0.822978i | −0.148806 | − | 0.0316296i | 0.132906 | − | 0.991129i | \(-0.457569\pi\) |
−0.281712 | + | 0.959499i | \(0.590902\pi\) | |||||||
\(678\) | −16.8174 | − | 1.48277i | −0.645867 | − | 0.0569455i | ||||
\(679\) | −22.0049 | − | 9.79720i | −0.844470 | − | 0.375982i | ||||
\(680\) | −4.38876 | + | 9.22348i | −0.168301 | + | 0.353704i | ||||
\(681\) | 4.43327 | + | 1.35866i | 0.169883 | + | 0.0520639i | ||||
\(682\) | −7.16407 | + | 12.4085i | −0.274326 | + | 0.475147i | ||||
\(683\) | 24.7679 | + | 17.9949i | 0.947716 | + | 0.688556i | 0.950266 | − | 0.311440i | \(-0.100811\pi\) |
−0.00254923 | + | 0.999997i | \(0.500811\pi\) | |||||||
\(684\) | −0.0679872 | − | 0.187581i | −0.00259956 | − | 0.00717235i | ||||
\(685\) | −0.0713392 | + | 2.82565i | −0.00272573 | + | 0.107963i | ||||
\(686\) | 17.1972 | + | 3.65537i | 0.656591 | + | 0.139563i | ||||
\(687\) | 40.5179 | + | 22.4952i | 1.54585 | + | 0.858245i | ||||
\(688\) | −11.1386 | + | 2.36759i | −0.424656 | + | 0.0902634i | ||||
\(689\) | −3.78977 | + | 4.20897i | −0.144379 | + | 0.160349i | ||||
\(690\) | −20.8895 | − | 4.62533i | −0.795250 | − | 0.176083i | ||||
\(691\) | 12.4225 | + | 13.7966i | 0.472574 | + | 0.524847i | 0.931556 | − | 0.363599i | \(-0.118452\pi\) |
−0.458981 | + | 0.888446i | \(0.651786\pi\) | |||||||
\(692\) | 19.3272 | + | 14.0420i | 0.734708 | + | 0.533797i | ||||
\(693\) | 13.5374 | − | 10.5472i | 0.514245 | − | 0.400655i | ||||
\(694\) | −14.7465 | − | 10.7139i | −0.559769 | − | 0.406696i | ||||
\(695\) | −37.3649 | + | 2.97596i | −1.41733 | + | 0.112885i | ||||
\(696\) | 3.38437 | − | 4.82644i | 0.128284 | − | 0.182946i | ||||
\(697\) | 24.2688 | + | 10.8052i | 0.919247 | + | 0.409275i | ||||
\(698\) | −10.3184 | + | 11.4598i | −0.390558 | + | 0.433758i | ||||
\(699\) | −4.69119 | − | 4.08355i | −0.177437 | − | 0.154454i | ||||
\(700\) | −8.71682 | − | 10.7232i | −0.329465 | − | 0.405298i | ||||
\(701\) | −24.9923 | −0.943945 | −0.471973 | − | 0.881613i | \(-0.656458\pi\) | ||||
−0.471973 | + | 0.881613i | \(0.656458\pi\) | |||||||
\(702\) | 3.78042 | + | 1.02117i | 0.142683 | + | 0.0385417i | ||||
\(703\) | 0.0929374 | − | 0.0675230i | 0.00350520 | − | 0.00254668i | ||||
\(704\) | −0.216346 | − | 2.05839i | −0.00815383 | − | 0.0775785i | ||||
\(705\) | −16.5337 | + | 18.0529i | −0.622695 | + | 0.679911i | ||||
\(706\) | −2.25479 | + | 21.4529i | −0.0848600 | + | 0.807389i | ||||
\(707\) | −11.5159 | − | 19.9462i | −0.433102 | − | 0.750154i | ||||
\(708\) | 10.7534 | + | 3.29559i | 0.404139 | + | 0.123856i | ||||
\(709\) | −8.43683 | − | 9.37005i | −0.316852 | − | 0.351899i | 0.563589 | − | 0.826055i | \(-0.309420\pi\) |
−0.880441 | + | 0.474156i | \(0.842753\pi\) | |||||||
\(710\) | 10.6019 | + | 3.74315i | 0.397883 | + | 0.140478i | ||||
\(711\) | 2.96448 | − | 41.5869i | 0.111177 | − | 1.55963i | ||||
\(712\) | −0.320840 | + | 0.987443i | −0.0120240 | + | 0.0370060i | ||||
\(713\) | −25.5896 | − | 28.4201i | −0.958338 | − | 1.06434i | ||||
\(714\) | 21.7063 | − | 2.65033i | 0.812339 | − | 0.0991860i | ||||
\(715\) | −2.53220 | − | 2.39846i | −0.0946989 | − | 0.0896972i | ||||
\(716\) | 17.7163 | − | 3.76571i | 0.662088 | − | 0.140731i | ||||
\(717\) | 11.1548 | − | 10.3879i | 0.416584 | − | 0.387945i | ||||
\(718\) | 9.94797 | − | 17.2304i | 0.371255 | − | 0.643033i | ||||
\(719\) | 19.7551 | + | 14.3529i | 0.736739 | + | 0.535272i | 0.891688 | − | 0.452650i | \(-0.149521\pi\) |
−0.154949 | + | 0.987922i | \(0.549521\pi\) | |||||||
\(720\) | −1.34011 | + | 6.57298i | −0.0499430 | + | 0.244961i | ||||
\(721\) | −24.5160 | + | 17.8119i | −0.913025 | + | 0.663352i | ||||
\(722\) | 1.98558 | + | 18.8915i | 0.0738956 | + | 0.703069i | ||||
\(723\) | −18.4809 | − | 24.5594i | −0.687311 | − | 0.913375i | ||||
\(724\) | 8.18926 | + | 14.1842i | 0.304351 | + | 0.527152i | ||||
\(725\) | 16.8022 | − | 2.69355i | 0.624020 | − | 0.100036i | ||||
\(726\) | −8.77426 | − | 7.63775i | −0.325643 | − | 0.283464i | ||||
\(727\) | −16.5821 | − | 3.52463i | −0.614995 | − | 0.130721i | −0.110127 | − | 0.993918i | \(-0.535126\pi\) |
−0.504868 | + | 0.863196i | \(0.668459\pi\) | |||||||
\(728\) | 1.68508 | − | 1.22428i | 0.0624532 | − | 0.0453749i | ||||
\(729\) | 23.3278 | + | 13.5946i | 0.863993 | + | 0.503505i | ||||
\(730\) | −1.08260 | + | 1.41362i | −0.0400689 | + | 0.0523204i | ||||
\(731\) | 47.5209 | − | 21.1577i | 1.75762 | − | 0.782545i | ||||
\(732\) | −9.75246 | − | 8.48926i | −0.360461 | − | 0.313772i | ||||
\(733\) | 3.05862 | − | 29.1008i | 0.112973 | − | 1.07486i | −0.780318 | − | 0.625383i | \(-0.784943\pi\) |
0.893291 | − | 0.449480i | \(-0.148391\pi\) | |||||||
\(734\) | −13.6803 | + | 2.90784i | −0.504950 | + | 0.107330i | ||||
\(735\) | −0.784385 | + | 2.34633i | −0.0289325 | + | 0.0865457i | ||||
\(736\) | 5.40357 | + | 1.14856i | 0.199178 | + | 0.0423366i | ||||
\(737\) | −1.89916 | + | 5.84502i | −0.0699566 | + | 0.215304i | ||||
\(738\) | 17.1775 | + | 3.05278i | 0.632312 | + | 0.112374i | ||||
\(739\) | −6.87844 | − | 21.1697i | −0.253028 | − | 0.778739i | −0.994212 | − | 0.107437i | \(-0.965736\pi\) |
0.741184 | − | 0.671302i | \(-0.234264\pi\) | |||||||
\(740\) | −3.85013 | + | 0.306647i | −0.141534 | + | 0.0112726i | ||||
\(741\) | 0.0758993 | + | 0.0421387i | 0.00278823 | + | 0.00154800i | ||||
\(742\) | −2.17119 | + | 20.6575i | −0.0797069 | + | 0.758360i | ||||
\(743\) | −13.7385 | − | 23.7958i | −0.504017 | − | 0.872984i | −0.999989 | − | 0.00464517i | \(-0.998521\pi\) |
0.495972 | − | 0.868339i | \(-0.334812\pi\) | |||||||
\(744\) | −8.77481 | + | 8.17157i | −0.321700 | + | 0.299584i | ||||
\(745\) | −9.33506 | + | 39.0447i | −0.342010 | + | 1.43049i | ||||
\(746\) | −20.6588 | + | 15.0095i | −0.756372 | + | 0.549536i | ||||
\(747\) | 45.6920 | − | 11.3268i | 1.67178 | − | 0.414425i | ||||
\(748\) | 2.92162 | + | 8.99181i | 0.106825 | + | 0.328773i | ||||
\(749\) | −24.8921 | + | 43.1144i | −0.909538 | + | 1.57537i | ||||
\(750\) | −16.3099 | + | 10.4397i | −0.595554 | + | 0.381203i | ||||
\(751\) | −2.34086 | − | 4.05449i | −0.0854191 | − | 0.147950i | 0.820151 | − | 0.572148i | \(-0.193890\pi\) |
−0.905570 | + | 0.424197i | \(0.860556\pi\) | |||||||
\(752\) | 4.22938 | − | 4.69720i | 0.154229 | − | 0.171289i | ||||
\(753\) | 23.5840 | + | 2.07938i | 0.859450 | + | 0.0757770i | ||||
\(754\) | 0.268098 | + | 2.55078i | 0.00976354 | + | 0.0928939i | ||||
\(755\) | −14.7587 | + | 4.38678i | −0.537122 | + | 0.159651i | ||||
\(756\) | 13.4178 | − | 5.11946i | 0.488002 | − | 0.186193i | ||||
\(757\) | −31.5537 | −1.14684 | −0.573420 | − | 0.819262i | \(-0.694384\pi\) | ||||
−0.573420 | + | 0.819262i | \(0.694384\pi\) | |||||||
\(758\) | 23.2315 | − | 10.3433i | 0.843808 | − | 0.375687i | ||||
\(759\) | −16.9821 | + | 10.1883i | −0.616412 | + | 0.369811i | ||||
\(760\) | −0.0638974 | + | 0.134288i | −0.00231780 | + | 0.00487113i | ||||
\(761\) | −1.81116 | + | 2.01149i | −0.0656544 | + | 0.0729166i | −0.775077 | − | 0.631867i | \(-0.782289\pi\) |
0.709423 | + | 0.704783i | \(0.248956\pi\) | |||||||
\(762\) | −0.465149 | − | 27.7210i | −0.0168506 | − | 1.00423i | ||||
\(763\) | 25.5787 | + | 28.4080i | 0.926012 | + | 1.02844i | ||||
\(764\) | 2.50944 | + | 7.72327i | 0.0907885 | + | 0.279418i | ||||
\(765\) | −0.254779 | − | 30.6421i | −0.00921156 | − | 1.10787i | ||||
\(766\) | 4.67427 | − | 14.3859i | 0.168888 | − | 0.519784i | ||||
\(767\) | −4.47055 | + | 1.99042i | −0.161422 | + | 0.0718698i | ||||
\(768\) | 0.331639 | − | 1.70000i | 0.0119670 | − | 0.0613436i | ||||
\(769\) | 2.09828 | − | 19.9638i | 0.0756659 | − | 0.719913i | −0.889262 | − | 0.457398i | \(-0.848781\pi\) |
0.964928 | − | 0.262515i | \(-0.0845519\pi\) | |||||||
\(770\) | −12.6833 | − | 1.65768i | −0.457075 | − | 0.0597388i | ||||
\(771\) | −9.54494 | − | 20.5053i | −0.343752 | − | 0.738481i | ||||
\(772\) | 1.36962 | + | 13.0310i | 0.0492936 | + | 0.468997i | ||||
\(773\) | −4.80576 | − | 14.7906i | −0.172851 | − | 0.531981i | 0.826678 | − | 0.562676i | \(-0.190228\pi\) |
−0.999529 | + | 0.0306945i | \(0.990228\pi\) | |||||||
\(774\) | 26.9487 | − | 20.9961i | 0.968652 | − | 0.754689i | ||||
\(775\) | −34.5695 | − | 1.74666i | −1.24177 | − | 0.0627420i | ||||
\(776\) | 4.35759 | − | 7.54758i | 0.156429 | − | 0.270942i | ||||
\(777\) | 4.97175 | + | 6.60702i | 0.178361 | + | 0.237025i | ||||
\(778\) | −7.01701 | − | 3.12418i | −0.251572 | − | 0.112007i | ||||
\(779\) | 0.353338 | + | 0.157316i | 0.0126596 | + | 0.00563644i | ||||
\(780\) | −1.43793 | − | 2.53997i | −0.0514861 | − | 0.0909456i | ||||
\(781\) | 9.50720 | − | 4.23288i | 0.340194 | − | 0.151464i | ||||
\(782\) | −25.2350 | −0.902402 | ||||||||
\(783\) | −2.80182 | + | 17.4610i | −0.100129 | + | 0.624005i | ||||
\(784\) | 0.197393 | − | 0.607512i | 0.00704974 | − | 0.0216969i | ||||
\(785\) | 3.17177 | − | 13.2662i | 0.113205 | − | 0.473491i | ||||
\(786\) | −11.5115 | + | 27.0685i | −0.410600 | + | 0.965500i | ||||
\(787\) | 25.1375 | − | 5.34315i | 0.896057 | − | 0.190463i | 0.263209 | − | 0.964739i | \(-0.415219\pi\) |
0.632848 | + | 0.774276i | \(0.281886\pi\) | |||||||
\(788\) | 11.1672 | − | 2.37365i | 0.397814 | − | 0.0845579i | ||||
\(789\) | 17.6891 | + | 23.5073i | 0.629750 | + | 0.836882i | ||||
\(790\) | −23.6112 | + | 20.2042i | −0.840050 | + | 0.718834i | ||||
\(791\) | 8.32479 | − | 25.6211i | 0.295995 | − | 0.910980i | ||||
\(792\) | 3.28325 | + | 5.27013i | 0.116665 | + | 0.187266i | ||||
\(793\) | 5.62575 | 0.199776 | ||||||||
\(794\) | 20.3378 | − | 9.05495i | 0.721760 | − | 0.321348i | ||||
\(795\) | 28.4187 | + | 6.29242i | 1.00791 | + | 0.223169i | ||||
\(796\) | 0.980906 | + | 0.436727i | 0.0347673 | + | 0.0154794i | ||||
\(797\) | −14.2286 | − | 6.33497i | −0.504002 | − | 0.224396i | 0.138954 | − | 0.990299i | \(-0.455626\pi\) |
−0.642957 | + | 0.765903i | \(0.722292\pi\) | |||||||
\(798\) | 0.316030 | − | 0.0385870i | 0.0111873 | − | 0.00136597i | ||||
\(799\) | −14.4365 | + | 25.0048i | −0.510728 | + | 0.884607i | ||||
\(800\) | 4.18824 | − | 2.73106i | 0.148076 | − | 0.0965575i | ||||
\(801\) | −0.429327 | − | 3.08505i | −0.0151695 | − | 0.109005i | ||||
\(802\) | −4.49539 | − | 13.8354i | −0.158738 | − | 0.488545i | ||||
\(803\) | 0.172273 | + | 1.63907i | 0.00607937 | + | 0.0578414i | ||||
\(804\) | −2.95282 | + | 4.21101i | −0.104138 | + | 0.148511i | ||||
\(805\) | 14.6690 | − | 30.8287i | 0.517016 | − | 1.08657i | ||||
\(806\) | 0.545333 | − | 5.18850i | 0.0192085 | − | 0.182757i | ||||
\(807\) | −36.2032 | − | 31.5139i | −1.27441 | − | 1.10934i | ||||
\(808\) | 7.61286 | − | 3.38946i | 0.267819 | − | 0.119241i | ||||
\(809\) | 6.56420 | − | 20.2025i | 0.230785 | − | 0.710283i | −0.766868 | − | 0.641805i | \(-0.778186\pi\) |
0.997653 | − | 0.0684777i | \(-0.0218142\pi\) | |||||||
\(810\) | −5.00445 | − | 19.4924i | −0.175838 | − | 0.684895i | ||||
\(811\) | 3.74381 | + | 11.5223i | 0.131463 | + | 0.404601i | 0.995023 | − | 0.0996444i | \(-0.0317705\pi\) |
−0.863560 | + | 0.504246i | \(0.831771\pi\) | |||||||
\(812\) | 6.29405 | + | 6.99025i | 0.220878 | + | 0.245310i | ||||
\(813\) | −5.54949 | + | 3.32937i | −0.194629 | + | 0.116766i | ||||
\(814\) | −2.39215 | + | 2.65675i | −0.0838447 | + | 0.0931190i | ||||
\(815\) | −8.30575 | + | 4.51975i | −0.290938 | + | 0.158320i | ||||
\(816\) | 0.132742 | + | 7.91092i | 0.00464691 | + | 0.276938i | ||||
\(817\) | 0.691873 | − | 0.308042i | 0.0242056 | − | 0.0107770i | ||||
\(818\) | −14.7874 | −0.517029 | ||||||||
\(819\) | −2.94100 | + | 5.51324i | −0.102767 | + | 0.192648i | ||||
\(820\) | −7.37558 | − | 10.7100i | −0.257566 | − | 0.374009i | ||||
\(821\) | 1.79247 | + | 17.0542i | 0.0625575 | + | 0.595195i | 0.980231 | + | 0.197859i | \(0.0633987\pi\) |
−0.917673 | + | 0.397336i | \(0.869935\pi\) | |||||||
\(822\) | 0.923956 | + | 1.98493i | 0.0322267 | + | 0.0692323i | ||||
\(823\) | −13.6414 | + | 15.1503i | −0.475508 | + | 0.528105i | −0.932405 | − | 0.361414i | \(-0.882294\pi\) |
0.456897 | + | 0.889519i | \(0.348961\pi\) | |||||||
\(824\) | −5.48215 | − | 9.49536i | −0.190980 | − | 0.330787i | ||||
\(825\) | −4.31540 | + | 17.3971i | −0.150243 | + | 0.605691i | ||||
\(826\) | −8.97349 | + | 15.5425i | −0.312228 | + | 0.540794i | ||||
\(827\) | 7.90828 | + | 24.3392i | 0.274998 | + | 0.846357i | 0.989220 | + | 0.146437i | \(0.0467807\pi\) |
−0.714222 | + | 0.699919i | \(0.753219\pi\) | |||||||
\(828\) | −16.0860 | + | 3.98762i | −0.559026 | + | 0.138579i | ||||
\(829\) | −2.53900 | + | 1.84469i | −0.0881831 | + | 0.0640688i | −0.631003 | − | 0.775780i | \(-0.717357\pi\) |
0.542820 | + | 0.839849i | \(0.317357\pi\) | |||||||
\(830\) | −29.9343 | − | 18.3051i | −1.03903 | − | 0.635381i | ||||
\(831\) | −37.7181 | − | 11.5594i | −1.30843 | − | 0.400992i | ||||
\(832\) | 0.376809 | + | 0.652652i | 0.0130635 | + | 0.0226266i | ||||
\(833\) | −0.305008 | + | 2.90195i | −0.0105679 | + | 0.100547i | ||||
\(834\) | −24.8974 | + | 14.9370i | −0.862127 | + | 0.517226i | ||||
\(835\) | 26.5292 | − | 22.7011i | 0.918080 | − | 0.785605i | ||||
\(836\) | 0.0425368 | + | 0.130915i | 0.00147117 | + | 0.00452779i | ||||
\(837\) | 12.9590 | − | 33.5561i | 0.447929 | − | 1.15987i | ||||
\(838\) | −8.57225 | + | 26.3827i | −0.296123 | + | 0.911374i | ||||
\(839\) | −4.10140 | − | 0.871778i | −0.141596 | − | 0.0300971i | 0.136568 | − | 0.990631i | \(-0.456393\pi\) |
−0.278164 | + | 0.960534i | \(0.589726\pi\) | |||||||
\(840\) | −9.74165 | − | 4.43643i | −0.336119 | − | 0.153071i | ||||
\(841\) | 17.0366 | − | 3.62123i | 0.587468 | − | 0.124870i | ||||
\(842\) | −2.26361 | + | 21.5368i | −0.0780092 | + | 0.742208i | ||||
\(843\) | 32.9239 | − | 11.3117i | 1.13396 | − | 0.389597i | ||||
\(844\) | 18.1519 | − | 8.08176i | 0.624815 | − | 0.278186i | ||||
\(845\) | −26.2131 | − | 9.25488i | −0.901759 | − | 0.318378i | ||||
\(846\) | −5.25128 | + | 18.2205i | −0.180543 | + | 0.626433i | ||||
\(847\) | 15.0174 | − | 10.9108i | 0.516004 | − | 0.374899i | ||||
\(848\) | −7.35116 | − | 1.56254i | −0.252440 | − | 0.0536577i | ||||
\(849\) | 7.90981 | − | 40.5463i | 0.271464 | − | 1.39154i | ||||
\(850\) | −16.1200 | + | 16.1807i | −0.552913 | + | 0.554992i | ||||
\(851\) | −4.77100 | − | 8.26362i | −0.163548 | − | 0.283273i | ||||
\(852\) | 8.64483 | − | 1.05553i | 0.296167 | − | 0.0361617i | ||||
\(853\) | 0.422046 | + | 4.01550i | 0.0144506 | + | 0.137488i | 0.999368 | − | 0.0355345i | \(-0.0113134\pi\) |
−0.984918 | + | 0.173022i | \(0.944647\pi\) | |||||||
\(854\) | 16.6916 | − | 12.1272i | 0.571176 | − | 0.414983i | ||||
\(855\) | −0.00370942 | − | 0.446129i | −0.000126859 | − | 0.0152573i | ||||
\(856\) | −14.5726 | − | 10.5876i | −0.498082 | − | 0.361878i | ||||
\(857\) | 12.8987 | − | 22.3413i | 0.440612 | − | 0.763163i | −0.557123 | − | 0.830430i | \(-0.688095\pi\) |
0.997735 | + | 0.0672672i | \(0.0214280\pi\) | |||||||
\(858\) | −2.58304 | − | 0.791623i | −0.0881837 | − | 0.0270256i | ||||
\(859\) | 43.4966 | − | 9.24548i | 1.48408 | − | 0.315452i | 0.606581 | − | 0.795022i | \(-0.292541\pi\) |
0.877504 | + | 0.479570i | \(0.159207\pi\) | |||||||
\(860\) | −25.2484 | − | 3.29992i | −0.860964 | − | 0.112526i | ||||
\(861\) | −10.8951 | + | 25.6192i | −0.371304 | + | 0.873098i | ||||
\(862\) | 13.6481 | + | 15.1577i | 0.464855 | + | 0.516274i | ||||
\(863\) | 9.43350 | − | 29.0333i | 0.321120 | − | 0.988306i | −0.652042 | − | 0.758183i | \(-0.726087\pi\) |
0.973162 | − | 0.230122i | \(-0.0739127\pi\) | |||||||
\(864\) | 1.33469 | + | 5.02181i | 0.0454072 | + | 0.170846i | ||||
\(865\) | 30.2981 | + | 43.9955i | 1.03017 | + | 1.49589i | ||||
\(866\) | 20.6061 | + | 22.8853i | 0.700222 | + | 0.777676i | ||||
\(867\) | −1.50219 | − | 6.52679i | −0.0510169 | − | 0.221661i | ||||
\(868\) | −9.56661 | − | 16.5699i | −0.324712 | − | 0.562418i | ||||
\(869\) | −3.00666 | + | 28.6065i | −0.101994 | + | 0.970408i | ||||
\(870\) | 10.7290 | − | 7.65715i | 0.363746 | − | 0.259602i | ||||
\(871\) | −0.233912 | − | 2.22552i | −0.00792580 | − | 0.0754089i | ||||
\(872\) | −11.1896 | + | 8.12970i | −0.378927 | + | 0.275306i | ||||
\(873\) | −1.85904 | + | 26.0794i | −0.0629191 | + | 0.882654i | ||||
\(874\) | −0.367405 | −0.0124277 | ||||||||
\(875\) | −10.3968 | − | 29.0990i | −0.351475 | − | 0.983727i | ||||
\(876\) | −0.264079 | + | 1.35369i | −0.00892241 | + | 0.0457369i | ||||
\(877\) | −33.2444 | + | 36.9217i | −1.12258 | + | 1.24676i | −0.156738 | + | 0.987640i | \(0.550098\pi\) |
−0.965846 | + | 0.259116i | \(0.916569\pi\) | |||||||
\(878\) | −1.90913 | − | 0.849997i | −0.0644299 | − | 0.0286860i | ||||
\(879\) | −7.74980 | − | 16.6488i | −0.261394 | − | 0.561552i | ||||
\(880\) | 1.07617 | − | 4.50119i | 0.0362779 | − | 0.151735i | ||||
\(881\) | 30.5661 | + | 22.2076i | 1.02980 | + | 0.748192i | 0.968268 | − | 0.249913i | \(-0.0804020\pi\) |
0.0615302 | + | 0.998105i | \(0.480402\pi\) | |||||||
\(882\) | 0.264138 | + | 1.89804i | 0.00889400 | + | 0.0639102i | ||||
\(883\) | 2.60162 | + | 1.89019i | 0.0875515 | + | 0.0636099i | 0.630700 | − | 0.776027i | \(-0.282768\pi\) |
−0.543148 | + | 0.839637i | \(0.682768\pi\) | |||||||
\(884\) | −2.30351 | − | 2.55830i | −0.0774753 | − | 0.0860451i | ||||
\(885\) | 20.2203 | + | 14.9540i | 0.679700 | + | 0.502675i | ||||
\(886\) | −16.3739 | + | 18.1851i | −0.550092 | + | 0.610939i | ||||
\(887\) | 0.288538 | − | 0.0613307i | 0.00968816 | − | 0.00205928i | −0.203065 | − | 0.979165i | \(-0.565090\pi\) |
0.212753 | + | 0.977106i | \(0.431757\pi\) | |||||||
\(888\) | −2.56546 | + | 1.53913i | −0.0860913 | + | 0.0516498i | ||||
\(889\) | 43.2739 | + | 9.19816i | 1.45136 | + | 0.308496i | ||||
\(890\) | −1.41158 | + | 1.84319i | −0.0473163 | + | 0.0617838i | ||||
\(891\) | −15.7703 | − | 9.91373i | −0.528327 | − | 0.332123i | ||||
\(892\) | 14.4065 | + | 10.4670i | 0.482366 | + | 0.350459i | ||||
\(893\) | −0.210186 | + | 0.364054i | −0.00703362 | + | 0.0121826i | ||||
\(894\) | 6.97468 | + | 30.3040i | 0.233268 | + | 1.01352i | ||||
\(895\) | 40.1583 | + | 5.24861i | 1.34234 | + | 0.175442i | ||||
\(896\) | 2.52489 | + | 1.12415i | 0.0843506 | + | 0.0375553i | ||||
\(897\) | 4.13997 | − | 5.90401i | 0.138230 | − | 0.197129i | ||||
\(898\) | 12.8649 | + | 2.73453i | 0.429308 | + | 0.0912523i | ||||
\(899\) | 23.5605 | 0.785785 | ||||||||
\(900\) | −7.71881 | + | 12.8616i | −0.257294 | + | 0.428719i | ||||
\(901\) | 34.3304 | 1.14371 | ||||||||
\(902\) | −11.7736 | − | 2.50255i | −0.392017 | − | 0.0833259i | ||||
\(903\) | 23.0048 | + | 49.4211i | 0.765552 | + | 1.64463i | ||||
\(904\) | 8.90449 | + | 3.96454i | 0.296159 | + | 0.131859i | ||||
\(905\) | 6.70788 | + | 36.0039i | 0.222978 | + | 1.19681i | ||||
\(906\) | −8.72784 | + | 8.12783i | −0.289963 | + | 0.270029i | ||||
\(907\) | −7.84758 | + | 13.5924i | −0.260575 | + | 0.451329i | −0.966395 | − | 0.257063i | \(-0.917245\pi\) |
0.705820 | + | 0.708391i | \(0.250579\pi\) | |||||||
\(908\) | −2.16578 | − | 1.57353i | −0.0718739 | − | 0.0522195i | ||||
\(909\) | −16.0955 | + | 19.1293i | −0.533854 | + | 0.634480i | ||||
\(910\) | 4.46441 | − | 1.32698i | 0.147994 | − | 0.0439888i | ||||
\(911\) | 12.7587 | + | 2.71195i | 0.422715 | + | 0.0898509i | 0.414357 | − | 0.910114i | \(-0.364006\pi\) |
0.00835761 | + | 0.999965i | \(0.497340\pi\) | |||||||
\(912\) | 0.00193264 | + | 0.115178i | 6.39961e−5 | + | 0.00381392i | ||||
\(913\) | −31.7678 | + | 6.75245i | −1.05136 | + | 0.223473i | ||||
\(914\) | 1.59296 | − | 1.76916i | 0.0526903 | − | 0.0585185i | ||||
\(915\) | −14.2435 | − | 25.1598i | −0.470874 | − | 0.831756i | ||||
\(916\) | −17.9036 | − | 19.8840i | −0.591551 | − | 0.656984i | ||||
\(917\) | −37.9726 | − | 27.5887i | −1.25397 | − | 0.911060i | ||||
\(918\) | −10.7331 | − | 21.1708i | −0.354245 | − | 0.698741i | ||||
\(919\) | −0.432552 | − | 0.314268i | −0.0142686 | − | 0.0103667i | 0.580628 | − | 0.814169i | \(-0.302807\pi\) |
−0.594897 | + | 0.803802i | \(0.702807\pi\) | |||||||
\(920\) | 10.5384 | + | 6.44437i | 0.347442 | + | 0.212465i | ||||
\(921\) | −51.6245 | − | 4.55169i | −1.70108 | − | 0.149983i | ||||
\(922\) | −17.2042 | − | 7.65981i | −0.566590 | − | 0.252262i | ||||
\(923\) | −2.53554 | + | 2.81601i | −0.0834584 | + | 0.0926900i | ||||
\(924\) | −9.37037 | + | 3.21940i | −0.308263 | + | 0.105911i | ||||
\(925\) | −8.34632 | − | 2.21961i | −0.274425 | − | 0.0729803i | ||||
\(926\) | 33.0211 | 1.08514 | ||||||||
\(927\) | 27.2446 | + | 18.4303i | 0.894830 | + | 0.605330i | ||||
\(928\) | −2.75337 | + | 2.00044i | −0.0903839 | + | 0.0656677i | ||||
\(929\) | 0.773100 | + | 7.35555i | 0.0253646 | + | 0.241328i | 0.999857 | + | 0.0169077i | \(0.00538214\pi\) |
−0.974492 | + | 0.224420i | \(0.927951\pi\) | |||||||
\(930\) | −24.5850 | + | 10.6976i | −0.806174 | + | 0.350786i | ||||
\(931\) | −0.00444071 | + | 0.0422505i | −0.000145538 | + | 0.00138471i | ||||
\(932\) | 1.79543 | + | 3.10977i | 0.0588111 | + | 0.101864i | ||||
\(933\) | −17.2572 | + | 16.0708i | −0.564974 | + | 0.526134i | ||||
\(934\) | −18.0810 | − | 20.0809i | −0.591627 | − | 0.657068i | ||||
\(935\) | −0.533577 | + | 21.1343i | −0.0174498 | + | 0.691165i | ||||
\(936\) | −1.87262 | − | 1.26678i | −0.0612086 | − | 0.0414061i | ||||
\(937\) | 4.20251 | − | 12.9340i | 0.137290 | − | 0.422535i | −0.858649 | − | 0.512564i | \(-0.828696\pi\) |
0.995939 | + | 0.0900285i | \(0.0286958\pi\) | |||||||
\(938\) | −5.49148 | − | 6.09890i | −0.179303 | − | 0.199136i | ||||
\(939\) | 2.58235 | + | 3.43171i | 0.0842718 | + | 0.111990i | ||||
\(940\) | 12.4144 | − | 6.75559i | 0.404915 | − | 0.220343i | ||||
\(941\) | −19.6400 | + | 4.17461i | −0.640245 | + | 0.136088i | −0.516584 | − | 0.856236i | \(-0.672797\pi\) |
−0.123661 | + | 0.992325i | \(0.539463\pi\) | |||||||
\(942\) | −2.36978 | − | 10.2964i | −0.0772117 | − | 0.335474i | ||||
\(943\) | 16.0634 | − | 27.8226i | 0.523095 | − | 0.906028i | ||||
\(944\) | −5.25336 | − | 3.81679i | −0.170982 | − | 0.124226i | ||||
\(945\) | 32.1027 | − | 0.805708i | 1.04430 | − | 0.0262097i | ||||
\(946\) | −19.0677 | + | 13.8535i | −0.619944 | + | 0.450416i | ||||
\(947\) | 4.04148 | + | 38.4521i | 0.131331 | + | 1.24953i | 0.839451 | + | 0.543435i | \(0.182877\pi\) |
−0.708120 | + | 0.706092i | \(0.750457\pi\) | |||||||
\(948\) | −9.42031 | + | 22.1513i | −0.305957 | + | 0.719439i | ||||
\(949\) | −0.300047 | − | 0.519697i | −0.00973995 | − | 0.0168701i | ||||
\(950\) | −0.234697 | + | 0.235580i | −0.00761458 | + | 0.00764321i | ||||
\(951\) | 57.3453 | − | 19.7023i | 1.85955 | − | 0.638890i | ||||
\(952\) | −12.3493 | − | 2.62493i | −0.400244 | − | 0.0850746i | ||||
\(953\) | −39.5104 | + | 28.7060i | −1.27987 | + | 0.929879i | −0.999549 | − | 0.0300274i | \(-0.990441\pi\) |
−0.280320 | + | 0.959907i | \(0.590441\pi\) | |||||||
\(954\) | 21.8838 | − | 5.42486i | 0.708514 | − | 0.175636i | ||||
\(955\) | −0.458302 | + | 18.1527i | −0.0148303 | + | 0.587408i | ||||
\(956\) | −8.03953 | + | 3.57943i | −0.260017 | + | 0.115767i | ||||
\(957\) | 2.33607 | − | 11.9749i | 0.0755145 | − | 0.387093i | ||||
\(958\) | 1.69851 | − | 16.1603i | 0.0548765 | − | 0.522115i | ||||
\(959\) | −3.41734 | + | 0.726378i | −0.110352 | + | 0.0234560i | ||||
\(960\) | 1.96481 | − | 3.33759i | 0.0634140 | − | 0.107720i | ||||
\(961\) | −16.5541 | − | 3.51869i | −0.534004 | − | 0.113506i | ||||
\(962\) | 0.402251 | − | 1.23800i | 0.0129691 | − | 0.0399148i | ||||
\(963\) | 53.2045 | + | 9.45550i | 1.71449 | + | 0.304699i | ||||
\(964\) | 5.48366 | + | 16.8770i | 0.176617 | + | 0.543571i | ||||
\(965\) | −6.81293 | + | 28.4957i | −0.219316 | + | 0.917308i | ||||
\(966\) | −0.443680 | − | 26.4416i | −0.0142752 | − | 0.850744i | ||||
\(967\) | 3.53597 | − | 33.6425i | 0.113709 | − | 1.08187i | −0.777689 | − | 0.628649i | \(-0.783608\pi\) |
0.891398 | − | 0.453221i | \(-0.149725\pi\) | |||||||
\(968\) | 3.35811 | + | 5.81642i | 0.107934 | + | 0.186947i | ||||
\(969\) | −0.118025 | − | 0.512801i | −0.00379150 | − | 0.0164735i | ||||
\(970\) | 14.8067 | − | 12.6702i | 0.475415 | − | 0.406815i | ||||
\(971\) | 49.9298 | − | 36.2761i | 1.60232 | − | 1.16416i | 0.719455 | − | 0.694539i | \(-0.244392\pi\) |
0.882870 | − | 0.469618i | \(-0.155608\pi\) | |||||||
\(972\) | −10.1872 | − | 11.7992i | −0.326754 | − | 0.378460i | ||||
\(973\) | −14.3168 | − | 44.0626i | −0.458976 | − | 1.41258i | ||||
\(974\) | 4.48504 | − | 7.76832i | 0.143710 | − | 0.248913i | ||||
\(975\) | −1.14104 | − | 6.42600i | −0.0365425 | − | 0.205797i | ||||
\(976\) | 3.73249 | + | 6.46487i | 0.119474 | + | 0.206935i | ||||
\(977\) | 18.6875 | − | 20.7546i | 0.597867 | − | 0.663999i | −0.365928 | − | 0.930643i | \(-0.619248\pi\) |
0.963795 | + | 0.266644i | \(0.0859149\pi\) | |||||||
\(978\) | −4.20521 | + | 5.99703i | −0.134468 | + | 0.191764i | ||||
\(979\) | 0.224623 | + | 2.13714i | 0.00717897 | + | 0.0683034i | ||||
\(980\) | 0.868459 | − | 1.13400i | 0.0277419 | − | 0.0362243i | ||||
\(981\) | 19.5293 | − | 36.6100i | 0.623524 | − | 1.16887i | ||||
\(982\) | 28.7096 | 0.916160 | ||||||||
\(983\) | 6.15520 | − | 2.74047i | 0.196321 | − | 0.0874075i | −0.306222 | − | 0.951960i | \(-0.599065\pi\) |
0.502542 | + | 0.864553i | \(0.332398\pi\) | |||||||
\(984\) | −8.80659 | − | 4.88935i | −0.280744 | − | 0.155867i | ||||
\(985\) | 25.3131 | + | 3.30837i | 0.806542 | + | 0.105414i | ||||
\(986\) | 10.4027 | − | 11.5534i | 0.331289 | − | 0.367934i | ||||
\(987\) | −26.4542 | − | 14.6872i | −0.842046 | − | 0.467497i | ||||
\(988\) | −0.0335375 | − | 0.0372472i | −0.00106697 | − | 0.00118499i | ||||
\(989\) | −19.4395 | − | 59.8287i | −0.618141 | − | 1.90244i | ||||
\(990\) | 2.99950 | + | 13.5563i | 0.0953302 | + | 0.430847i | ||||
\(991\) | −12.6586 | + | 38.9590i | −0.402112 | + | 1.23757i | 0.521170 | + | 0.853453i | \(0.325496\pi\) |
−0.923283 | + | 0.384121i | \(0.874504\pi\) | |||||||
\(992\) | 6.32421 | − | 2.81572i | 0.200794 | − | 0.0893992i | ||||
\(993\) | −26.9664 | + | 9.26492i | −0.855753 | + | 0.294013i | ||||
\(994\) | −1.45263 | + | 13.8209i | −0.0460747 | + | 0.438371i | ||||
\(995\) | 1.74313 | + | 1.65107i | 0.0552610 | + | 0.0523423i | ||||
\(996\) | −27.0737 | − | 2.38706i | −0.857863 | − | 0.0756370i | ||||
\(997\) | −5.72449 | − | 54.4649i | −0.181297 | − | 1.72492i | −0.585861 | − | 0.810412i | \(-0.699243\pi\) |
0.404564 | − | 0.914510i | \(-0.367423\pi\) | |||||||
\(998\) | −1.69732 | − | 5.22382i | −0.0537278 | − | 0.165357i | ||||
\(999\) | 4.90350 | − | 7.51734i | 0.155140 | − | 0.237838i |
(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 | 450.2.q.b.331.1 | yes | 112 | |
9.4 | even | 3 | inner | 450.2.q.b.31.6 | ✓ | 112 | |
25.21 | even | 5 | inner | 450.2.q.b.421.6 | yes | 112 | |
225.121 | even | 15 | inner | 450.2.q.b.121.1 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
450.2.q.b.31.6 | ✓ | 112 | 9.4 | even | 3 | inner | |
450.2.q.b.121.1 | yes | 112 | 225.121 | even | 15 | inner | |
450.2.q.b.331.1 | yes | 112 | 1.1 | even | 1 | trivial | |
450.2.q.b.421.6 | yes | 112 | 25.21 | even | 5 | inner |