Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [98,2,Mod(9,98)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(98, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("98.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 98 = 2 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 98.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.782533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 11.1 | ||
Character | \(\chi\) | \(=\) | 98.11 |
Dual form | 98.2.g.a.9.1 |
$q$-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 \(\left(\mathbb{Z}/98\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.733052 | − | 0.680173i | 0.518346 | − | 0.480955i | ||||
\(3\) | 0.532240 | − | 0.0802223i | 0.307289 | − | 0.0463163i | 0.00641230 | − | 0.999979i | \(-0.497959\pi\) |
0.300877 | + | 0.953663i | \(0.402721\pi\) | |||||||
\(4\) | 0.0747301 | − | 0.997204i | 0.0373650 | − | 0.498602i | ||||
\(5\) | 0.459870 | − | 1.17173i | 0.205660 | − | 0.524013i | −0.790410 | − | 0.612578i | \(-0.790133\pi\) |
0.996070 | + | 0.0885643i | \(0.0282279\pi\) | |||||||
\(6\) | 0.335594 | − | 0.420822i | 0.137006 | − | 0.171800i | ||||
\(7\) | −1.68832 | + | 2.03705i | −0.638124 | + | 0.769934i | ||||
\(8\) | −0.623490 | − | 0.781831i | −0.220437 | − | 0.276419i | ||||
\(9\) | −2.58987 | + | 0.798871i | −0.863292 | + | 0.266290i | ||||
\(10\) | −0.459870 | − | 1.17173i | −0.145424 | − | 0.370533i | ||||
\(11\) | 5.54024 | + | 1.70894i | 1.67044 | + | 0.515264i | 0.978423 | − | 0.206613i | \(-0.0662440\pi\) |
0.692022 | + | 0.721877i | \(0.256720\pi\) | |||||||
\(12\) | −0.0402236 | − | 0.536747i | −0.0116116 | − | 0.154945i | ||||
\(13\) | −0.471031 | − | 2.06372i | −0.130640 | − | 0.572373i | −0.997298 | − | 0.0734688i | \(-0.976593\pi\) |
0.866657 | − | 0.498904i | \(-0.166264\pi\) | |||||||
\(14\) | 0.147925 | + | 2.64161i | 0.0395345 | + | 0.706001i | ||||
\(15\) | 0.150762 | − | 0.660533i | 0.0389267 | − | 0.170549i | ||||
\(16\) | −0.988831 | − | 0.149042i | −0.247208 | − | 0.0372606i | ||||
\(17\) | −6.62937 | + | 4.51983i | −1.60786 | + | 1.09622i | −0.673908 | + | 0.738816i | \(0.735385\pi\) |
−0.933950 | + | 0.357403i | \(0.883662\pi\) | |||||||
\(18\) | −1.35514 | + | 2.34718i | −0.319410 | + | 0.553235i | ||||
\(19\) | −1.31648 | − | 2.28021i | −0.302022 | − | 0.523117i | 0.674572 | − | 0.738209i | \(-0.264328\pi\) |
−0.976594 | + | 0.215092i | \(0.930995\pi\) | |||||||
\(20\) | −1.13409 | − | 0.546148i | −0.253590 | − | 0.122122i | ||||
\(21\) | −0.735172 | + | 1.21964i | −0.160428 | + | 0.266148i | ||||
\(22\) | 5.22365 | − | 2.51558i | 1.11369 | − | 0.536323i | ||||
\(23\) | 1.09005 | + | 0.743183i | 0.227291 | + | 0.154964i | 0.671611 | − | 0.740904i | \(-0.265602\pi\) |
−0.444320 | + | 0.895868i | \(0.646555\pi\) | |||||||
\(24\) | −0.394566 | − | 0.366104i | −0.0805405 | − | 0.0747307i | ||||
\(25\) | 2.50379 | + | 2.32318i | 0.500758 | + | 0.464635i | ||||
\(26\) | −1.74898 | − | 1.19243i | −0.343003 | − | 0.233855i | ||||
\(27\) | −2.76919 | + | 1.33357i | −0.532931 | + | 0.256646i | ||||
\(28\) | 1.90519 | + | 1.83582i | 0.360047 | + | 0.346938i | ||||
\(29\) | −0.191182 | − | 0.0920683i | −0.0355016 | − | 0.0170967i | 0.416049 | − | 0.909342i | \(-0.363415\pi\) |
−0.451550 | + | 0.892246i | \(0.649129\pi\) | |||||||
\(30\) | −0.338760 | − | 0.586749i | −0.0618488 | − | 0.107125i | ||||
\(31\) | 1.96083 | − | 3.39625i | 0.352175 | − | 0.609985i | −0.634455 | − | 0.772960i | \(-0.718776\pi\) |
0.986630 | + | 0.162975i | \(0.0521088\pi\) | |||||||
\(32\) | −0.826239 | + | 0.563320i | −0.146060 | + | 0.0995819i | ||||
\(33\) | 3.08583 | + | 0.465114i | 0.537174 | + | 0.0809660i | ||||
\(34\) | −1.78541 | + | 7.82238i | −0.306195 | + | 1.34153i | ||||
\(35\) | 1.61047 | + | 2.91503i | 0.272219 | + | 0.492730i | ||||
\(36\) | 0.603095 | + | 2.64233i | 0.100516 | + | 0.440389i | ||||
\(37\) | −0.571461 | − | 7.62562i | −0.0939477 | − | 1.25364i | −0.822544 | − | 0.568701i | \(-0.807446\pi\) |
0.728596 | − | 0.684943i | \(-0.240173\pi\) | |||||||
\(38\) | −2.51599 | − | 0.776080i | −0.408147 | − | 0.125897i | ||||
\(39\) | −0.416258 | − | 1.06061i | −0.0666546 | − | 0.169833i | ||||
\(40\) | −1.20282 | + | 0.371021i | −0.190182 | + | 0.0586635i | ||||
\(41\) | −4.18126 | − | 5.24313i | −0.653002 | − | 0.818839i | 0.339559 | − | 0.940585i | \(-0.389722\pi\) |
−0.992561 | + | 0.121746i | \(0.961151\pi\) | |||||||
\(42\) | 0.290648 | + | 1.39410i | 0.0448479 | + | 0.215115i | ||||
\(43\) | 2.28771 | − | 2.86870i | 0.348873 | − | 0.437473i | −0.576173 | − | 0.817328i | \(-0.695455\pi\) |
0.925046 | + | 0.379855i | \(0.124026\pi\) | |||||||
\(44\) | 2.11818 | − | 5.39704i | 0.319328 | − | 0.813634i | ||||
\(45\) | −0.254945 | + | 3.40201i | −0.0380050 | + | 0.507142i | ||||
\(46\) | 1.30456 | − | 0.196630i | 0.192346 | − | 0.0289915i | ||||
\(47\) | 6.31247 | − | 5.85711i | 0.920768 | − | 0.854348i | −0.0689148 | − | 0.997623i | \(-0.521954\pi\) |
0.989683 | + | 0.143275i | \(0.0457632\pi\) | |||||||
\(48\) | −0.538252 | −0.0776899 | ||||||||
\(49\) | −1.29917 | − | 6.87838i | −0.185596 | − | 0.982626i | ||||
\(50\) | 3.41557 | 0.483034 | ||||||||
\(51\) | −3.16582 | + | 2.93745i | −0.443304 | + | 0.411326i | ||||
\(52\) | −2.09315 | + | 0.315492i | −0.290268 | + | 0.0437508i | ||||
\(53\) | −0.378107 | + | 5.04549i | −0.0519370 | + | 0.693051i | 0.909091 | + | 0.416598i | \(0.136778\pi\) |
−0.961028 | + | 0.276452i | \(0.910841\pi\) | |||||||
\(54\) | −1.12290 | + | 2.86111i | −0.152808 | + | 0.389347i | ||||
\(55\) | 4.55020 | − | 5.70577i | 0.613549 | − | 0.769366i | ||||
\(56\) | 2.64528 | + | 0.0498970i | 0.353491 | + | 0.00666776i | ||||
\(57\) | −0.883608 | − | 1.10801i | −0.117037 | − | 0.146759i | ||||
\(58\) | −0.202769 | + | 0.0625458i | −0.0266248 | + | 0.00821267i | ||||
\(59\) | 4.53197 | + | 11.5473i | 0.590013 | + | 1.50333i | 0.844121 | + | 0.536152i | \(0.180123\pi\) |
−0.254108 | + | 0.967176i | \(0.581782\pi\) | |||||||
\(60\) | −0.647420 | − | 0.199702i | −0.0835815 | − | 0.0257815i | ||||
\(61\) | −0.472890 | − | 6.31027i | −0.0605473 | − | 0.807948i | −0.941987 | − | 0.335650i | \(-0.891044\pi\) |
0.881439 | − | 0.472297i | \(-0.156575\pi\) | |||||||
\(62\) | −0.872650 | − | 3.82333i | −0.110827 | − | 0.485564i | ||||
\(63\) | 2.74519 | − | 6.62446i | 0.345861 | − | 0.834603i | ||||
\(64\) | −0.222521 | + | 0.974928i | −0.0278151 | + | 0.121866i | ||||
\(65\) | −2.63474 | − | 0.397122i | −0.326799 | − | 0.0492570i | ||||
\(66\) | 2.57843 | − | 1.75794i | 0.317383 | − | 0.216388i | ||||
\(67\) | 0.838966 | − | 1.45313i | 0.102496 | − | 0.177528i | −0.810216 | − | 0.586131i | \(-0.800650\pi\) |
0.912712 | + | 0.408603i | \(0.133984\pi\) | |||||||
\(68\) | 4.01177 | + | 6.94860i | 0.486499 | + | 0.842641i | ||||
\(69\) | 0.639788 | + | 0.308106i | 0.0770214 | + | 0.0370915i | ||||
\(70\) | 3.16328 | + | 1.04147i | 0.378085 | + | 0.124480i | ||||
\(71\) | −1.73115 | + | 0.833679i | −0.205450 | + | 0.0989395i | −0.533779 | − | 0.845624i | \(-0.679229\pi\) |
0.328329 | + | 0.944563i | \(0.393514\pi\) | |||||||
\(72\) | 2.23934 | + | 1.52676i | 0.263909 | + | 0.179930i | ||||
\(73\) | 0.00982919 | + | 0.00912015i | 0.00115042 | + | 0.00106743i | 0.680748 | − | 0.732518i | \(-0.261655\pi\) |
−0.679597 | + | 0.733585i | \(0.737845\pi\) | |||||||
\(74\) | −5.60565 | − | 5.20128i | −0.651644 | − | 0.604637i | ||||
\(75\) | 1.51899 | + | 1.03563i | 0.175398 | + | 0.119584i | ||||
\(76\) | −2.37222 | + | 1.14240i | −0.272112 | + | 0.131042i | ||||
\(77\) | −12.8349 | + | 8.40053i | −1.46267 | + | 0.957330i | ||||
\(78\) | −1.02653 | − | 0.494353i | −0.116232 | − | 0.0559745i | ||||
\(79\) | 2.39693 | + | 4.15161i | 0.269676 | + | 0.467092i | 0.968778 | − | 0.247930i | \(-0.0797502\pi\) |
−0.699102 | + | 0.715022i | \(0.746417\pi\) | |||||||
\(80\) | −0.629371 | + | 1.09010i | −0.0703658 | + | 0.121877i | ||||
\(81\) | 5.35114 | − | 3.64834i | 0.594571 | − | 0.405371i | ||||
\(82\) | −6.63131 | − | 0.999509i | −0.732306 | − | 0.110377i | ||||
\(83\) | −2.09213 | + | 9.16622i | −0.229641 | + | 1.00612i | 0.720292 | + | 0.693671i | \(0.244008\pi\) |
−0.949933 | + | 0.312453i | \(0.898849\pi\) | |||||||
\(84\) | 1.16129 | + | 0.824261i | 0.126707 | + | 0.0899342i | ||||
\(85\) | 2.24737 | + | 9.84636i | 0.243761 | + | 1.06799i | ||||
\(86\) | −0.274200 | − | 3.65895i | −0.0295678 | − | 0.394555i | ||||
\(87\) | −0.109141 | − | 0.0336654i | −0.0117011 | − | 0.00360931i | ||||
\(88\) | −2.11818 | − | 5.39704i | −0.225799 | − | 0.575326i | ||||
\(89\) | 3.24383 | − | 1.00059i | 0.343845 | − | 0.106062i | −0.118023 | − | 0.993011i | \(-0.537656\pi\) |
0.461868 | + | 0.886949i | \(0.347179\pi\) | |||||||
\(90\) | 2.12707 | + | 2.66726i | 0.224212 | + | 0.281154i | ||||
\(91\) | 4.99916 | + | 2.52470i | 0.524054 | + | 0.264660i | ||||
\(92\) | 0.822565 | − | 1.03146i | 0.0857583 | − | 0.107538i | ||||
\(93\) | 0.771176 | − | 1.96492i | 0.0799672 | − | 0.203753i | ||||
\(94\) | 0.643517 | − | 8.58714i | 0.0663737 | − | 0.885696i | ||||
\(95\) | −3.27720 | + | 0.493959i | −0.336234 | + | 0.0506791i | ||||
\(96\) | −0.394566 | + | 0.366104i | −0.0402703 | + | 0.0373653i | ||||
\(97\) | −7.76637 | −0.788555 | −0.394278 | − | 0.918991i | \(-0.629005\pi\) | ||||
−0.394278 | + | 0.918991i | \(0.629005\pi\) | |||||||
\(98\) | −5.63085 | − | 4.15855i | −0.568802 | − | 0.420077i | ||||
\(99\) | −15.7137 | −1.57929 | ||||||||
\(100\) | 2.50379 | − | 2.32318i | 0.250379 | − | 0.232318i | ||||
\(101\) | 8.37836 | − | 1.26284i | 0.833678 | − | 0.125657i | 0.281687 | − | 0.959506i | \(-0.409106\pi\) |
0.551992 | + | 0.833850i | \(0.313868\pi\) | |||||||
\(102\) | −0.322736 | + | 4.30661i | −0.0319556 | + | 0.426418i | ||||
\(103\) | −5.67654 | + | 14.4636i | −0.559326 | + | 1.42514i | 0.319310 | + | 0.947650i | \(0.396549\pi\) |
−0.878637 | + | 0.477490i | \(0.841547\pi\) | |||||||
\(104\) | −1.31980 | + | 1.65498i | −0.129417 | + | 0.162284i | ||||
\(105\) | 1.09101 | + | 1.42230i | 0.106471 | + | 0.138802i | ||||
\(106\) | 3.15463 | + | 3.95578i | 0.306405 | + | 0.384219i | ||||
\(107\) | −14.4617 | + | 4.46084i | −1.39806 | + | 0.431246i | −0.899998 | − | 0.435894i | \(-0.856432\pi\) |
−0.498066 | + | 0.867139i | \(0.665956\pi\) | |||||||
\(108\) | 1.12290 | + | 2.86111i | 0.108051 | + | 0.275310i | ||||
\(109\) | −9.77856 | − | 3.01629i | −0.936616 | − | 0.288908i | −0.211377 | − | 0.977405i | \(-0.567795\pi\) |
−0.725239 | + | 0.688497i | \(0.758271\pi\) | |||||||
\(110\) | −0.545377 | − | 7.27755i | −0.0519997 | − | 0.693887i | ||||
\(111\) | −0.915899 | − | 4.01282i | −0.0869333 | − | 0.380880i | ||||
\(112\) | 1.97307 | − | 1.76267i | 0.186437 | − | 0.166557i | ||||
\(113\) | −1.76014 | + | 7.71166i | −0.165580 | + | 0.725452i | 0.822149 | + | 0.569273i | \(0.192775\pi\) |
−0.987729 | + | 0.156180i | \(0.950082\pi\) | |||||||
\(114\) | −1.40137 | − | 0.211222i | −0.131250 | − | 0.0197828i | ||||
\(115\) | 1.37209 | − | 0.935476i | 0.127948 | − | 0.0872336i | ||||
\(116\) | −0.106098 | + | 0.183767i | −0.00985095 | + | 0.0170623i | ||||
\(117\) | 2.86856 | + | 4.96849i | 0.265198 | + | 0.459337i | ||||
\(118\) | 11.1763 | + | 5.38223i | 1.02886 | + | 0.495475i | ||||
\(119\) | 1.98534 | − | 21.1353i | 0.181996 | − | 1.93747i | ||||
\(120\) | −0.610424 | + | 0.293965i | −0.0557239 | + | 0.0268352i | ||||
\(121\) | 18.6851 | + | 12.7393i | 1.69865 | + | 1.15812i | ||||
\(122\) | −4.63873 | − | 4.30411i | −0.419971 | − | 0.389676i | ||||
\(123\) | −2.64605 | − | 2.45517i | −0.238586 | − | 0.221375i | ||||
\(124\) | −3.24022 | − | 2.20915i | −0.290981 | − | 0.198387i | ||||
\(125\) | 9.54399 | − | 4.59614i | 0.853640 | − | 0.411092i | ||||
\(126\) | −2.49341 | − | 6.72327i | −0.222131 | − | 0.598957i | ||||
\(127\) | −10.7103 | − | 5.15783i | −0.950389 | − | 0.457683i | −0.106567 | − | 0.994306i | \(-0.533986\pi\) |
−0.843823 | + | 0.536622i | \(0.819700\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 0.987479 | − | 1.71036i | 0.0869426 | − | 0.150589i | ||||
\(130\) | −2.20151 | + | 1.50096i | −0.193085 | + | 0.131643i | ||||
\(131\) | 6.52336 | + | 0.983238i | 0.569949 | + | 0.0859059i | 0.427693 | − | 0.903924i | \(-0.359326\pi\) |
0.142256 | + | 0.989830i | \(0.454565\pi\) | |||||||
\(132\) | 0.694418 | − | 3.04244i | 0.0604413 | − | 0.264811i | ||||
\(133\) | 6.86756 | + | 1.16798i | 0.595493 | + | 0.101277i | ||||
\(134\) | −0.373375 | − | 1.63586i | −0.0322547 | − | 0.141317i | ||||
\(135\) | 0.289118 | + | 3.85801i | 0.0248833 | + | 0.332045i | ||||
\(136\) | 7.66709 | + | 2.36498i | 0.657447 | + | 0.202796i | ||||
\(137\) | 4.67202 | + | 11.9041i | 0.399158 | + | 1.01704i | 0.979281 | + | 0.202508i | \(0.0649092\pi\) |
−0.580123 | + | 0.814529i | \(0.696996\pi\) | |||||||
\(138\) | 0.678563 | − | 0.209309i | 0.0577631 | − | 0.0178176i | ||||
\(139\) | 5.88533 | + | 7.37998i | 0.499188 | + | 0.625961i | 0.966046 | − | 0.258371i | \(-0.0831856\pi\) |
−0.466858 | + | 0.884332i | \(0.654614\pi\) | |||||||
\(140\) | 3.02723 | − | 1.38813i | 0.255848 | − | 0.117318i | ||||
\(141\) | 2.88988 | − | 3.62379i | 0.243371 | − | 0.305178i | ||||
\(142\) | −0.701978 | + | 1.78861i | −0.0589087 | + | 0.150097i | ||||
\(143\) | 0.917146 | − | 12.2385i | 0.0766956 | − | 1.02343i | ||||
\(144\) | 2.68001 | − | 0.403947i | 0.223334 | − | 0.0336623i | ||||
\(145\) | −0.195798 | + | 0.181674i | −0.0162601 | + | 0.0150872i | ||||
\(146\) | 0.0134086 | 0.00110970 | ||||||||
\(147\) | −1.24327 | − | 3.55673i | −0.102543 | − | 0.293354i | ||||
\(148\) | −7.64701 | −0.628580 | ||||||||
\(149\) | 0.0236487 | − | 0.0219428i | 0.00193738 | − | 0.00179762i | −0.679203 | − | 0.733950i | \(-0.737675\pi\) |
0.681141 | + | 0.732152i | \(0.261484\pi\) | |||||||
\(150\) | 1.81790 | − | 0.274005i | 0.148431 | − | 0.0223724i | ||||
\(151\) | 1.39613 | − | 18.6301i | 0.113616 | − | 1.51610i | −0.591095 | − | 0.806602i | \(-0.701304\pi\) |
0.704711 | − | 0.709495i | \(-0.251077\pi\) | |||||||
\(152\) | −0.961930 | + | 2.45096i | −0.0780228 | + | 0.198799i | ||||
\(153\) | 13.5585 | − | 17.0018i | 1.09614 | − | 1.37451i | ||||
\(154\) | −3.69481 | + | 14.8880i | −0.297736 | + | 1.19971i | ||||
\(155\) | −3.07776 | − | 3.85939i | −0.247212 | − | 0.309994i | ||||
\(156\) | −1.08875 | + | 0.335834i | −0.0871696 | + | 0.0268883i | ||||
\(157\) | −7.34242 | − | 18.7082i | −0.585989 | − | 1.49307i | −0.849059 | − | 0.528298i | \(-0.822830\pi\) |
0.263071 | − | 0.964777i | \(-0.415265\pi\) | |||||||
\(158\) | 4.58088 | + | 1.41302i | 0.364435 | + | 0.112413i | ||||
\(159\) | 0.203517 | + | 2.71574i | 0.0161399 | + | 0.215372i | ||||
\(160\) | 0.280096 | + | 1.22718i | 0.0221436 | + | 0.0970173i | ||||
\(161\) | −3.35425 | + | 0.965761i | −0.264352 | + | 0.0761126i | ||||
\(162\) | 1.44116 | − | 6.31412i | 0.113228 | − | 0.496084i | ||||
\(163\) | 5.86188 | + | 0.883537i | 0.459138 | + | 0.0692039i | 0.374539 | − | 0.927211i | \(-0.377801\pi\) |
0.0845991 | + | 0.996415i | \(0.473039\pi\) | |||||||
\(164\) | −5.54093 | + | 3.77774i | −0.432674 | + | 0.294992i | ||||
\(165\) | 1.96407 | − | 3.40187i | 0.152903 | − | 0.264835i | ||||
\(166\) | 4.70097 | + | 8.14233i | 0.364866 | + | 0.631967i | ||||
\(167\) | 18.1506 | + | 8.74087i | 1.40454 | + | 0.676389i | 0.974076 | − | 0.226221i | \(-0.0726372\pi\) |
0.430460 | + | 0.902610i | \(0.358351\pi\) | |||||||
\(168\) | 1.41193 | − | 0.185653i | 0.108933 | − | 0.0143235i | ||||
\(169\) | 7.67552 | − | 3.69634i | 0.590425 | − | 0.284334i | ||||
\(170\) | 8.34466 | + | 5.68929i | 0.640006 | + | 0.436349i | ||||
\(171\) | 5.23112 | + | 4.85377i | 0.400034 | + | 0.371177i | ||||
\(172\) | −2.68972 | − | 2.49570i | −0.205089 | − | 0.190295i | ||||
\(173\) | −6.10235 | − | 4.16051i | −0.463953 | − | 0.316318i | 0.308685 | − | 0.951164i | \(-0.400111\pi\) |
−0.772638 | + | 0.634846i | \(0.781063\pi\) | |||||||
\(174\) | −0.102904 | + | 0.0495559i | −0.00780113 | + | 0.00375683i | ||||
\(175\) | −8.95963 | + | 1.17809i | −0.677284 | + | 0.0890556i | ||||
\(176\) | −5.22365 | − | 2.51558i | −0.393748 | − | 0.189619i | ||||
\(177\) | 3.33845 | + | 5.78236i | 0.250933 | + | 0.434629i | ||||
\(178\) | 1.69732 | − | 2.93985i | 0.127220 | − | 0.220351i | ||||
\(179\) | −5.36480 | + | 3.65766i | −0.400984 | + | 0.273386i | −0.746976 | − | 0.664851i | \(-0.768495\pi\) |
0.345992 | + | 0.938238i | \(0.387543\pi\) | |||||||
\(180\) | 3.37344 | + | 0.508465i | 0.251442 | + | 0.0378987i | ||||
\(181\) | −4.39369 | + | 19.2500i | −0.326580 | + | 1.43084i | 0.499022 | + | 0.866589i | \(0.333693\pi\) |
−0.825603 | + | 0.564252i | \(0.809165\pi\) | |||||||
\(182\) | 5.38187 | − | 1.54956i | 0.398931 | − | 0.114861i | ||||
\(183\) | −0.757915 | − | 3.32064i | −0.0560267 | − | 0.245469i | ||||
\(184\) | −0.0985908 | − | 1.31560i | −0.00726821 | − | 0.0969875i | ||||
\(185\) | −9.19797 | − | 2.83720i | −0.676248 | − | 0.208595i | ||||
\(186\) | −0.771176 | − | 1.96492i | −0.0565453 | − | 0.144075i | ||||
\(187\) | −44.4524 | + | 13.7117i | −3.25068 | + | 1.00270i | ||||
\(188\) | −5.36901 | − | 6.73252i | −0.391575 | − | 0.491020i | ||||
\(189\) | 1.95871 | − | 7.89248i | 0.142475 | − | 0.574094i | ||||
\(190\) | −2.06638 | + | 2.59116i | −0.149911 | + | 0.187983i | ||||
\(191\) | 2.49244 | − | 6.35063i | 0.180347 | − | 0.459515i | −0.811901 | − | 0.583796i | \(-0.801567\pi\) |
0.992247 | + | 0.124280i | \(0.0396622\pi\) | |||||||
\(192\) | −0.0402236 | + | 0.536747i | −0.00290289 | + | 0.0387364i | ||||
\(193\) | −14.7436 | + | 2.22223i | −1.06126 | + | 0.159960i | −0.656397 | − | 0.754416i | \(-0.727920\pi\) |
−0.404867 | + | 0.914375i | \(0.632682\pi\) | |||||||
\(194\) | −5.69315 | + | 5.28247i | −0.408745 | + | 0.379259i | ||||
\(195\) | −1.43417 | −0.102703 | ||||||||
\(196\) | −6.95624 | + | 0.781519i | −0.496874 | + | 0.0558228i | ||||
\(197\) | 17.0370 | 1.21383 | 0.606916 | − | 0.794766i | \(-0.292406\pi\) | ||||
0.606916 | + | 0.794766i | \(0.292406\pi\) | |||||||
\(198\) | −11.5190 | + | 10.6881i | −0.818619 | + | 0.759567i | ||||
\(199\) | 10.6786 | − | 1.60954i | 0.756988 | − | 0.114098i | 0.240802 | − | 0.970574i | \(-0.422589\pi\) |
0.516186 | + | 0.856477i | \(0.327351\pi\) | |||||||
\(200\) | 0.255246 | − | 3.40602i | 0.0180486 | − | 0.240842i | ||||
\(201\) | 0.329958 | − | 0.840719i | 0.0232734 | − | 0.0592997i | ||||
\(202\) | 5.28283 | − | 6.62446i | 0.371699 | − | 0.466095i | ||||
\(203\) | 0.510324 | − | 0.234007i | 0.0358177 | − | 0.0164241i | ||||
\(204\) | 2.69266 | + | 3.37649i | 0.188524 | + | 0.236401i | ||||
\(205\) | −8.06636 | + | 2.48814i | −0.563379 | + | 0.173779i | ||||
\(206\) | 5.67654 | + | 14.4636i | 0.395504 | + | 1.00773i | ||||
\(207\) | −3.41680 | − | 1.05394i | −0.237484 | − | 0.0732541i | ||||
\(208\) | 0.158188 | + | 2.11087i | 0.0109684 | + | 0.146363i | ||||
\(209\) | −3.39688 | − | 14.8827i | −0.234967 | − | 1.02946i | ||||
\(210\) | 1.76717 | + | 0.300547i | 0.121947 | + | 0.0207397i | ||||
\(211\) | −1.15716 | + | 5.06984i | −0.0796620 | + | 0.349022i | −0.999013 | − | 0.0444161i | \(-0.985857\pi\) |
0.919351 | + | 0.393438i | \(0.128714\pi\) | |||||||
\(212\) | 5.00312 | + | 0.754099i | 0.343616 | + | 0.0517918i | ||||
\(213\) | −0.854508 | + | 0.582594i | −0.0585500 | + | 0.0399187i | ||||
\(214\) | −7.56702 | + | 13.1065i | −0.517271 | + | 0.895940i | ||||
\(215\) | −2.30929 | − | 3.99981i | −0.157492 | − | 0.272785i | ||||
\(216\) | 2.76919 | + | 1.33357i | 0.188420 | + | 0.0907381i | ||||
\(217\) | 3.60785 | + | 9.72826i | 0.244917 | + | 0.660397i | ||||
\(218\) | −9.21979 | + | 4.44002i | −0.624443 | + | 0.300716i | ||||
\(219\) | 0.00596312 | + | 0.00406559i | 0.000402951 | + | 0.000274727i | ||||
\(220\) | −5.34978 | − | 4.96387i | −0.360682 | − | 0.334664i | ||||
\(221\) | 12.4503 | + | 11.5522i | 0.837497 | + | 0.777084i | ||||
\(222\) | −3.40081 | − | 2.31863i | −0.228247 | − | 0.155616i | ||||
\(223\) | −17.1860 | + | 8.27633i | −1.15086 | + | 0.554224i | −0.909291 | − | 0.416160i | \(-0.863375\pi\) |
−0.241566 | + | 0.970384i | \(0.577661\pi\) | |||||||
\(224\) | 0.247440 | − | 2.63416i | 0.0165327 | − | 0.176002i | ||||
\(225\) | −8.34042 | − | 4.01653i | −0.556028 | − | 0.267769i | ||||
\(226\) | 3.95499 | + | 6.85025i | 0.263082 | + | 0.455672i | ||||
\(227\) | 2.67401 | − | 4.63152i | 0.177480 | − | 0.307405i | −0.763537 | − | 0.645765i | \(-0.776539\pi\) |
0.941017 | + | 0.338360i | \(0.109872\pi\) | |||||||
\(228\) | −1.17094 | + | 0.798336i | −0.0775476 | + | 0.0528711i | ||||
\(229\) | 27.3615 | + | 4.12408i | 1.80810 | + | 0.272527i | 0.964430 | − | 0.264338i | \(-0.0851536\pi\) |
0.843668 | + | 0.536865i | \(0.180392\pi\) | |||||||
\(230\) | 0.369529 | − | 1.61901i | 0.0243660 | − | 0.106754i | ||||
\(231\) | −6.15732 | + | 5.50074i | −0.405122 | + | 0.361922i | ||||
\(232\) | 0.0472180 | + | 0.206876i | 0.00310001 | + | 0.0135821i | ||||
\(233\) | −1.28486 | − | 17.1452i | −0.0841739 | − | 1.12322i | −0.866107 | − | 0.499859i | \(-0.833385\pi\) |
0.781933 | − | 0.623363i | \(-0.214234\pi\) | |||||||
\(234\) | 5.48223 | + | 1.69104i | 0.358385 | + | 0.110547i | ||||
\(235\) | −3.96004 | − | 10.0900i | −0.258325 | − | 0.658200i | ||||
\(236\) | 11.8537 | − | 3.65637i | 0.771608 | − | 0.238010i | ||||
\(237\) | 1.60879 | + | 2.01736i | 0.104502 | + | 0.131042i | ||||
\(238\) | −12.9203 | − | 16.8436i | −0.837497 | − | 1.09181i | ||||
\(239\) | −0.942997 | + | 1.18248i | −0.0609974 | + | 0.0764883i | −0.811394 | − | 0.584499i | \(-0.801291\pi\) |
0.750397 | + | 0.660988i | \(0.229862\pi\) | |||||||
\(240\) | −0.247526 | + | 0.630685i | −0.0159777 | + | 0.0407106i | ||||
\(241\) | −1.30246 | + | 17.3801i | −0.0838987 | + | 1.11955i | 0.783319 | + | 0.621620i | \(0.213525\pi\) |
−0.867217 | + | 0.497930i | \(0.834094\pi\) | |||||||
\(242\) | 22.3621 | − | 3.37055i | 1.43749 | − | 0.216667i | ||||
\(243\) | 9.31467 | − | 8.64275i | 0.597536 | − | 0.554433i | ||||
\(244\) | −6.32797 | −0.405107 | ||||||||
\(245\) | −8.65706 | − | 1.64088i | −0.553079 | − | 0.104832i | ||||
\(246\) | −3.60963 | −0.230142 | ||||||||
\(247\) | −4.08562 | + | 3.79090i | −0.259962 | + | 0.241209i | ||||
\(248\) | −3.87785 | + | 0.584492i | −0.246244 | + | 0.0371153i | ||||
\(249\) | −0.378180 | + | 5.04646i | −0.0239662 | + | 0.319807i | ||||
\(250\) | 3.87007 | − | 9.86077i | 0.244765 | − | 0.623650i | ||||
\(251\) | 6.90307 | − | 8.65617i | 0.435718 | − | 0.546373i | −0.514691 | − | 0.857376i | \(-0.672093\pi\) |
0.950409 | + | 0.311003i | \(0.100665\pi\) | |||||||
\(252\) | −6.40079 | − | 3.23256i | −0.403212 | − | 0.203632i | ||||
\(253\) | 4.76908 | + | 5.98024i | 0.299830 | + | 0.375974i | ||||
\(254\) | −11.3595 | + | 3.50393i | −0.712755 | + | 0.219856i | ||||
\(255\) | 1.98604 | + | 5.06034i | 0.124370 | + | 0.316891i | ||||
\(256\) | 0.955573 | + | 0.294755i | 0.0597233 | + | 0.0184222i | ||||
\(257\) | 0.780496 | + | 10.4150i | 0.0486860 | + | 0.649669i | 0.967157 | + | 0.254181i | \(0.0818057\pi\) |
−0.918471 | + | 0.395489i | \(0.870575\pi\) | |||||||
\(258\) | −0.439469 | − | 1.92544i | −0.0273602 | − | 0.119873i | ||||
\(259\) | 16.4986 | + | 11.7104i | 1.02517 | + | 0.727647i | ||||
\(260\) | −0.592906 | + | 2.59769i | −0.0367705 | + | 0.161102i | ||||
\(261\) | 0.568688 | + | 0.0857159i | 0.0352009 | + | 0.00530568i | ||||
\(262\) | 5.45073 | − | 3.71625i | 0.336747 | − | 0.229590i | ||||
\(263\) | 7.63814 | − | 13.2296i | 0.470988 | − | 0.815775i | −0.528462 | − | 0.848957i | \(-0.677231\pi\) |
0.999449 | + | 0.0331826i | \(0.0105643\pi\) | |||||||
\(264\) | −1.56034 | − | 2.70259i | −0.0960325 | − | 0.166333i | ||||
\(265\) | 5.73807 | + | 2.76331i | 0.352487 | + | 0.169749i | ||||
\(266\) | 5.82870 | − | 3.81494i | 0.357381 | − | 0.233909i | ||||
\(267\) | 1.64623 | − | 0.792781i | 0.100747 | − | 0.0485174i | ||||
\(268\) | −1.38637 | − | 0.945213i | −0.0846862 | − | 0.0577381i | ||||
\(269\) | −7.00276 | − | 6.49761i | −0.426966 | − | 0.396166i | 0.437208 | − | 0.899361i | \(-0.355967\pi\) |
−0.864173 | + | 0.503194i | \(0.832158\pi\) | |||||||
\(270\) | 2.83605 | + | 2.63147i | 0.172597 | + | 0.160146i | ||||
\(271\) | −15.8237 | − | 10.7884i | −0.961221 | − | 0.655350i | −0.0223981 | − | 0.999749i | \(-0.507130\pi\) |
−0.938823 | + | 0.344400i | \(0.888083\pi\) | |||||||
\(272\) | 7.22897 | − | 3.48129i | 0.438321 | − | 0.211084i | ||||
\(273\) | 2.86329 | + | 0.942702i | 0.173294 | + | 0.0570549i | ||||
\(274\) | 11.5217 | + | 5.54855i | 0.696050 | + | 0.335200i | ||||
\(275\) | 9.90143 | + | 17.1498i | 0.597078 | + | 1.03417i | ||||
\(276\) | 0.355055 | − | 0.614974i | 0.0213718 | − | 0.0370171i | ||||
\(277\) | −4.08268 | + | 2.78353i | −0.245305 | + | 0.167246i | −0.679731 | − | 0.733461i | \(-0.737904\pi\) |
0.434426 | + | 0.900707i | \(0.356951\pi\) | |||||||
\(278\) | 9.33391 | + | 1.40686i | 0.559811 | + | 0.0843779i | ||||
\(279\) | −2.36513 | + | 10.3623i | −0.141597 | + | 0.620376i | ||||
\(280\) | 1.27495 | − | 3.07661i | 0.0761929 | − | 0.183862i | ||||
\(281\) | −1.45969 | − | 6.39531i | −0.0870777 | − | 0.381512i | 0.912545 | − | 0.408976i | \(-0.134114\pi\) |
−0.999623 | + | 0.0274638i | \(0.991257\pi\) | |||||||
\(282\) | −0.346374 | − | 4.62204i | −0.0206263 | − | 0.275239i | ||||
\(283\) | −0.0891534 | − | 0.0275002i | −0.00529962 | − | 0.00163472i | 0.292104 | − | 0.956386i | \(-0.405645\pi\) |
−0.297404 | + | 0.954752i | \(0.596121\pi\) | |||||||
\(284\) | 0.701978 | + | 1.78861i | 0.0416548 | + | 0.106135i | ||||
\(285\) | −1.70463 | + | 0.525810i | −0.100974 | + | 0.0311463i | ||||
\(286\) | −7.65195 | − | 9.59525i | −0.452470 | − | 0.567379i | ||||
\(287\) | 17.7398 | + | 0.334620i | 1.04715 | + | 0.0197520i | ||||
\(288\) | 1.68984 | − | 2.11899i | 0.0995745 | − | 0.124862i | ||||
\(289\) | 17.3089 | − | 44.1023i | 1.01817 | − | 2.59425i | ||||
\(290\) | −0.0199604 | + | 0.266353i | −0.00117211 | + | 0.0156408i | ||||
\(291\) | −4.13357 | + | 0.623036i | −0.242314 | + | 0.0365230i | ||||
\(292\) | 0.00982919 | − | 0.00912015i | 0.000575210 | − | 0.000533717i | ||||
\(293\) | −28.4218 | −1.66042 | −0.830211 | − | 0.557450i | \(-0.811780\pi\) | ||||
−0.830211 | + | 0.557450i | \(0.811780\pi\) | |||||||
\(294\) | −3.33057 | − | 1.76163i | −0.194243 | − | 0.102740i | ||||
\(295\) | 15.6144 | 0.909106 | ||||||||
\(296\) | −5.60565 | + | 5.20128i | −0.325822 | + | 0.302319i | ||||
\(297\) | −17.6210 | + | 2.65593i | −1.02247 | + | 0.154113i | ||||
\(298\) | 0.00241084 | − | 0.0321704i | 0.000139656 | − | 0.00186358i | ||||
\(299\) | 1.02028 | − | 2.59962i | 0.0590041 | − | 0.150340i | ||||
\(300\) | 1.14625 | − | 1.43735i | 0.0661785 | − | 0.0829853i | ||||
\(301\) | 1.98131 | + | 9.50347i | 0.114201 | + | 0.547771i | ||||
\(302\) | −11.6483 | − | 14.6064i | −0.670282 | − | 0.840506i | ||||
\(303\) | 4.35799 | − | 1.34426i | 0.250360 | − | 0.0772259i | ||||
\(304\) | 0.961930 | + | 2.45096i | 0.0551705 | + | 0.140572i | ||||
\(305\) | −7.61140 | − | 2.34781i | −0.435828 | − | 0.134435i | ||||
\(306\) | −1.62509 | − | 21.6853i | −0.0929001 | − | 1.23967i | ||||
\(307\) | 1.99247 | + | 8.72957i | 0.113716 | + | 0.498223i | 0.999423 | + | 0.0339773i | \(0.0108174\pi\) |
−0.885706 | + | 0.464246i | \(0.846325\pi\) | |||||||
\(308\) | 7.41789 | + | 13.4268i | 0.422674 | + | 0.765060i | ||||
\(309\) | −1.86098 | + | 8.15349i | −0.105867 | + | 0.463836i | ||||
\(310\) | −4.88122 | − | 0.735725i | −0.277234 | − | 0.0417864i | ||||
\(311\) | −6.57608 | + | 4.48349i | −0.372895 | + | 0.254236i | −0.735238 | − | 0.677809i | \(-0.762929\pi\) |
0.362343 | + | 0.932045i | \(0.381977\pi\) | |||||||
\(312\) | −0.569684 | + | 0.986721i | −0.0322520 | + | 0.0558621i | ||||
\(313\) | −1.99065 | − | 3.44790i | −0.112518 | − | 0.194887i | 0.804267 | − | 0.594268i | \(-0.202558\pi\) |
−0.916785 | + | 0.399381i | \(0.869225\pi\) | |||||||
\(314\) | −18.1072 | − | 8.71995i | −1.02185 | − | 0.492095i | ||||
\(315\) | −6.49965 | − | 6.26301i | −0.366214 | − | 0.352880i | ||||
\(316\) | 4.31912 | − | 2.07998i | 0.242969 | − | 0.117008i | ||||
\(317\) | −2.62705 | − | 1.79109i | −0.147550 | − | 0.100598i | 0.487295 | − | 0.873237i | \(-0.337984\pi\) |
−0.634845 | + | 0.772640i | \(0.718936\pi\) | |||||||
\(318\) | 1.99636 | + | 1.85235i | 0.111950 | + | 0.103875i | ||||
\(319\) | −0.901854 | − | 0.836798i | −0.0504941 | − | 0.0468517i | ||||
\(320\) | 1.04002 | + | 0.709074i | 0.0581390 | + | 0.0396385i | ||||
\(321\) | −7.33923 | + | 3.53438i | −0.409636 | + | 0.197270i | ||||
\(322\) | −1.80196 | + | 2.98942i | −0.100419 | + | 0.166594i | ||||
\(323\) | 19.0336 | + | 9.16611i | 1.05906 | + | 0.510016i | ||||
\(324\) | −3.23825 | − | 5.60881i | −0.179903 | − | 0.311601i | ||||
\(325\) | 3.61503 | − | 6.26141i | 0.200526 | − | 0.347321i | ||||
\(326\) | 4.89802 | − | 3.33942i | 0.271276 | − | 0.184953i | ||||
\(327\) | −5.44651 | − | 0.820930i | −0.301193 | − | 0.0453975i | ||||
\(328\) | −1.49227 | + | 6.53807i | −0.0823970 | + | 0.361005i | ||||
\(329\) | 1.27381 | + | 22.7475i | 0.0702275 | + | 1.25411i | ||||
\(330\) | −0.874093 | − | 3.82965i | −0.0481172 | − | 0.210815i | ||||
\(331\) | −1.21590 | − | 16.2250i | −0.0668318 | − | 0.891808i | −0.925372 | − | 0.379061i | \(-0.876247\pi\) |
0.858540 | − | 0.512747i | \(-0.171372\pi\) | |||||||
\(332\) | 8.98425 | + | 2.77127i | 0.493075 | + | 0.152093i | ||||
\(333\) | 7.57190 | + | 19.2929i | 0.414938 | + | 1.05724i | ||||
\(334\) | 19.2506 | − | 5.93803i | 1.05335 | − | 0.324915i | ||||
\(335\) | −1.31686 | − | 1.65129i | −0.0719479 | − | 0.0902198i | ||||
\(336\) | 0.908739 | − | 1.09645i | 0.0495758 | − | 0.0598161i | ||||
\(337\) | 0.854059 | − | 1.07096i | 0.0465236 | − | 0.0583387i | −0.758025 | − | 0.652225i | \(-0.773836\pi\) |
0.804549 | + | 0.593886i | \(0.202407\pi\) | |||||||
\(338\) | 3.11241 | − | 7.93029i | 0.169293 | − | 0.431351i | ||||
\(339\) | −0.318168 | + | 4.24566i | −0.0172805 | + | 0.230592i | ||||
\(340\) | 9.98677 | − | 1.50526i | 0.541609 | − | 0.0816344i | ||||
\(341\) | 16.6674 | − | 15.4651i | 0.902592 | − | 0.837483i | ||||
\(342\) | 7.13608 | 0.385875 | ||||||||
\(343\) | 16.2051 | + | 8.96640i | 0.874990 | + | 0.484140i | ||||
\(344\) | −3.66921 | −0.197830 | ||||||||
\(345\) | 0.655236 | − | 0.607970i | 0.0352767 | − | 0.0327320i | ||||
\(346\) | −7.30320 | + | 1.10078i | −0.392623 | + | 0.0591783i | ||||
\(347\) | −0.712827 | + | 9.51201i | −0.0382665 | + | 0.510632i | 0.944832 | + | 0.327555i | \(0.106225\pi\) |
−0.983099 | + | 0.183077i | \(0.941394\pi\) | |||||||
\(348\) | −0.0417273 | + | 0.106320i | −0.00223682 | + | 0.00569933i | ||||
\(349\) | −14.8186 | + | 18.5819i | −0.793219 | + | 0.994666i | 0.206649 | + | 0.978415i | \(0.433744\pi\) |
−0.999868 | + | 0.0162504i | \(0.994827\pi\) | |||||||
\(350\) | −5.76656 | + | 6.95770i | −0.308236 | + | 0.371905i | ||||
\(351\) | 4.05650 | + | 5.08668i | 0.216520 | + | 0.271507i | ||||
\(352\) | −5.54024 | + | 1.70894i | −0.295296 | + | 0.0910867i | ||||
\(353\) | −0.773842 | − | 1.97172i | −0.0411875 | − | 0.104944i | 0.908800 | − | 0.417232i | \(-0.137000\pi\) |
−0.949987 | + | 0.312288i | \(0.898905\pi\) | |||||||
\(354\) | 6.38026 | + | 1.96805i | 0.339107 | + | 0.104601i | ||||
\(355\) | 0.180741 | + | 2.41183i | 0.00959275 | + | 0.128006i | ||||
\(356\) | −0.755379 | − | 3.30953i | −0.0400350 | − | 0.175405i | ||||
\(357\) | −0.638840 | − | 11.4083i | −0.0338110 | − | 0.603791i | ||||
\(358\) | −1.44484 | + | 6.33024i | −0.0763620 | + | 0.334564i | ||||
\(359\) | −28.8189 | − | 4.34375i | −1.52100 | − | 0.229254i | −0.665243 | − | 0.746627i | \(-0.731672\pi\) |
−0.855760 | + | 0.517373i | \(0.826910\pi\) | |||||||
\(360\) | 2.81875 | − | 1.92179i | 0.148561 | − | 0.101287i | ||||
\(361\) | 6.03375 | − | 10.4508i | 0.317566 | − | 0.550040i | ||||
\(362\) | 9.87253 | + | 17.0997i | 0.518888 | + | 0.898741i | ||||
\(363\) | 10.9670 | + | 5.28141i | 0.575616 | + | 0.277202i | ||||
\(364\) | 2.89123 | − | 4.79651i | 0.151541 | − | 0.251405i | ||||
\(365\) | 0.0152065 | − | 0.00732306i | 0.000795945 | − | 0.000383307i | ||||
\(366\) | −2.81420 | − | 1.91869i | −0.147101 | − | 0.100292i | ||||
\(367\) | 1.93296 | + | 1.79352i | 0.100899 | + | 0.0936210i | 0.729010 | − | 0.684503i | \(-0.239981\pi\) |
−0.628110 | + | 0.778124i | \(0.716171\pi\) | |||||||
\(368\) | −0.967109 | − | 0.897346i | −0.0504140 | − | 0.0467774i | ||||
\(369\) | 15.0175 | + | 10.2388i | 0.781780 | + | 0.533009i | ||||
\(370\) | −8.67237 | + | 4.17639i | −0.450855 | + | 0.217120i | ||||
\(371\) | −9.63956 | − | 9.28860i | −0.500461 | − | 0.482240i | ||||
\(372\) | −1.90180 | − | 0.915858i | −0.0986037 | − | 0.0474850i | ||||
\(373\) | −13.4130 | − | 23.2320i | −0.694500 | − | 1.20291i | −0.970349 | − | 0.241708i | \(-0.922292\pi\) |
0.275849 | − | 0.961201i | \(-0.411041\pi\) | |||||||
\(374\) | −23.2595 | + | 40.2867i | −1.20272 | + | 2.08318i | ||||
\(375\) | 4.71098 | − | 3.21189i | 0.243274 | − | 0.165861i | ||||
\(376\) | −8.51504 | − | 1.28344i | −0.439129 | − | 0.0661881i | ||||
\(377\) | −0.0999508 | + | 0.437913i | −0.00514773 | + | 0.0225537i | ||||
\(378\) | −3.93241 | − | 7.11786i | −0.202262 | − | 0.366103i | ||||
\(379\) | −0.459992 | − | 2.01536i | −0.0236282 | − | 0.103522i | 0.961739 | − | 0.273968i | \(-0.0883363\pi\) |
−0.985367 | + | 0.170446i | \(0.945479\pi\) | |||||||
\(380\) | 0.247672 | + | 3.30495i | 0.0127053 | + | 0.169541i | ||||
\(381\) | −6.11424 | − | 1.88599i | −0.313242 | − | 0.0966224i | ||||
\(382\) | −2.49244 | − | 6.35063i | −0.127524 | − | 0.324926i | ||||
\(383\) | 7.44209 | − | 2.29558i | 0.380273 | − | 0.117299i | −0.0987247 | − | 0.995115i | \(-0.531476\pi\) |
0.478998 | + | 0.877816i | \(0.341000\pi\) | |||||||
\(384\) | 0.335594 | + | 0.420822i | 0.0171257 | + | 0.0214750i | ||||
\(385\) | 3.94078 | + | 18.9022i | 0.200841 | + | 0.963343i | ||||
\(386\) | −9.29629 | + | 11.6572i | −0.473169 | + | 0.593335i | ||||
\(387\) | −3.63317 | + | 9.25717i | −0.184684 | + | 0.470568i | ||||
\(388\) | −0.580382 | + | 7.74465i | −0.0294644 | + | 0.393175i | ||||
\(389\) | −21.5092 | + | 3.24198i | −1.09056 | + | 0.164375i | −0.669612 | − | 0.742711i | \(-0.733540\pi\) |
−0.420945 | + | 0.907086i | \(0.638302\pi\) | |||||||
\(390\) | −1.05132 | + | 0.975483i | −0.0532357 | + | 0.0493955i | ||||
\(391\) | −10.5854 | −0.535327 | ||||||||
\(392\) | −4.56771 | + | 5.30434i | −0.230704 | + | 0.267909i | ||||
\(393\) | 3.55087 | 0.179118 | ||||||||
\(394\) | 12.4890 | − | 11.5881i | 0.629185 | − | 0.583799i | ||||
\(395\) | 5.96684 | − | 0.899356i | 0.300224 | − | 0.0452515i | ||||
\(396\) | −1.17429 | + | 15.6698i | −0.0590103 | + | 0.787437i | ||||
\(397\) | 0.855791 | − | 2.18052i | 0.0429509 | − | 0.109437i | −0.907789 | − | 0.419428i | \(-0.862231\pi\) |
0.950740 | + | 0.309991i | \(0.100326\pi\) | |||||||
\(398\) | 6.73322 | − | 8.44319i | 0.337506 | − | 0.423219i | ||||
\(399\) | 3.74889 | + | 0.0707139i | 0.187679 | + | 0.00354012i | ||||
\(400\) | −2.12957 | − | 2.67040i | −0.106479 | − | 0.133520i | ||||
\(401\) | −26.1849 | + | 8.07698i | −1.30761 | + | 0.403345i | −0.868769 | − | 0.495218i | \(-0.835088\pi\) |
−0.438844 | + | 0.898563i | \(0.644612\pi\) | |||||||
\(402\) | −0.329958 | − | 0.840719i | −0.0164568 | − | 0.0419312i | ||||
\(403\) | −7.93253 | − | 2.44686i | −0.395147 | − | 0.121887i | ||||
\(404\) | −0.633188 | − | 8.44931i | −0.0315023 | − | 0.420369i | ||||
\(405\) | −1.81404 | − | 7.94785i | −0.0901406 | − | 0.394932i | ||||
\(406\) | 0.214928 | − | 0.518648i | 0.0106667 | − | 0.0257400i | ||||
\(407\) | 9.86568 | − | 43.2244i | 0.489023 | − | 2.14255i | ||||
\(408\) | 4.27045 | + | 0.643667i | 0.211419 | + | 0.0318663i | ||||
\(409\) | −2.34543 | + | 1.59909i | −0.115974 | + | 0.0790697i | −0.619918 | − | 0.784667i | \(-0.712834\pi\) |
0.503944 | + | 0.863736i | \(0.331882\pi\) | |||||||
\(410\) | −4.22070 | + | 7.31046i | −0.208445 | + | 0.361038i | ||||
\(411\) | 3.44161 | + | 5.96104i | 0.169762 | + | 0.294037i | ||||
\(412\) | 13.9989 | + | 6.74154i | 0.689679 | + | 0.332132i | ||||
\(413\) | −31.1738 | − | 10.2636i | −1.53396 | − | 0.505038i | ||||
\(414\) | −3.22155 | + | 1.55142i | −0.158331 | + | 0.0762481i | ||||
\(415\) | 9.77823 | + | 6.66668i | 0.479994 | + | 0.327255i | ||||
\(416\) | 1.55172 | + | 1.43978i | 0.0760793 | + | 0.0705913i | ||||
\(417\) | 3.72445 | + | 3.45578i | 0.182387 | + | 0.169230i | ||||
\(418\) | −12.6129 | − | 8.59933i | −0.616917 | − | 0.420607i | ||||
\(419\) | 5.99424 | − | 2.88668i | 0.292838 | − | 0.141023i | −0.281697 | − | 0.959503i | \(-0.590897\pi\) |
0.574535 | + | 0.818480i | \(0.305183\pi\) | |||||||
\(420\) | 1.49985 | − | 0.981667i | 0.0731854 | − | 0.0479005i | ||||
\(421\) | 24.5144 | + | 11.8055i | 1.19476 | + | 0.575367i | 0.922178 | − | 0.386766i | \(-0.126408\pi\) |
0.272583 | + | 0.962132i | \(0.412122\pi\) | |||||||
\(422\) | 2.60011 | + | 4.50352i | 0.126571 | + | 0.219228i | ||||
\(423\) | −11.6694 | + | 20.2120i | −0.567387 | + | 0.982743i | ||||
\(424\) | 4.18047 | − | 2.85019i | 0.203021 | − | 0.138418i | ||||
\(425\) | −27.0989 | − | 4.08450i | −1.31449 | − | 0.198127i | ||||
\(426\) | −0.230134 | + | 1.00828i | −0.0111501 | + | 0.0488516i | ||||
\(427\) | 13.6527 | + | 9.69044i | 0.660703 | + | 0.468953i | ||||
\(428\) | 3.36764 | + | 14.7546i | 0.162781 | + | 0.713191i | ||||
\(429\) | −0.493655 | − | 6.58737i | −0.0238339 | − | 0.318041i | ||||
\(430\) | −4.41339 | − | 1.36135i | −0.212833 | − | 0.0656502i | ||||
\(431\) | 7.97128 | + | 20.3105i | 0.383963 | + | 0.978322i | 0.983971 | + | 0.178328i | \(0.0570689\pi\) |
−0.600008 | + | 0.799994i | \(0.704836\pi\) | |||||||
\(432\) | 2.93702 | − | 0.905951i | 0.141307 | − | 0.0435876i | ||||
\(433\) | −23.3424 | − | 29.2704i | −1.12176 | − | 1.40665i | −0.902345 | − | 0.431014i | \(-0.858156\pi\) |
−0.219417 | − | 0.975631i | \(-0.570416\pi\) | |||||||
\(434\) | 9.26164 | + | 4.67736i | 0.444573 | + | 0.224520i | ||||
\(435\) | −0.0896372 | + | 0.112401i | −0.00429777 | + | 0.00538924i | ||||
\(436\) | −3.73861 | + | 9.52581i | −0.179047 | + | 0.456204i | ||||
\(437\) | 0.259586 | − | 3.46393i | 0.0124177 | − | 0.165702i | ||||
\(438\) | 0.00713658 | − | 0.00107567i | 0.000340999 | − | 5.13973e-5i | ||||
\(439\) | 5.93824 | − | 5.50988i | 0.283417 | − | 0.262972i | −0.525634 | − | 0.850711i | \(-0.676172\pi\) |
0.809051 | + | 0.587738i | \(0.199982\pi\) | |||||||
\(440\) | −7.29796 | −0.347916 | ||||||||
\(441\) | 8.85964 | + | 16.7763i | 0.421887 | + | 0.798870i | ||||
\(442\) | 16.9842 | 0.807856 | ||||||||
\(443\) | 5.65163 | − | 5.24395i | 0.268517 | − | 0.249147i | −0.534409 | − | 0.845226i | \(-0.679466\pi\) |
0.802926 | + | 0.596079i | \(0.203275\pi\) | |||||||
\(444\) | −4.07004 | + | 0.613460i | −0.193156 | + | 0.0291135i | ||||
\(445\) | 0.319320 | − | 4.26103i | 0.0151372 | − | 0.201992i | ||||
\(446\) | −6.96888 | + | 17.7564i | −0.329986 | + | 0.840790i | ||||
\(447\) | 0.0108265 | − | 0.0135760i | 0.000512075 | − | 0.000642122i | ||||
\(448\) | −1.61029 | − | 2.09927i | −0.0760793 | − | 0.0991814i | ||||
\(449\) | 7.02792 | + | 8.81273i | 0.331668 | + | 0.415898i | 0.919503 | − | 0.393082i | \(-0.128591\pi\) |
−0.587835 | + | 0.808980i | \(0.700020\pi\) | |||||||
\(450\) | −8.84590 | + | 2.72860i | −0.417000 | + | 0.128627i | ||||
\(451\) | −14.2050 | − | 36.1937i | −0.668886 | − | 1.70429i | ||||
\(452\) | 7.55856 | + | 2.33151i | 0.355525 | + | 0.109665i | ||||
\(453\) | −0.751471 | − | 10.0277i | −0.0353072 | − | 0.471142i | ||||
\(454\) | −1.19005 | − | 5.21393i | −0.0558516 | − | 0.244702i | ||||
\(455\) | 5.25723 | − | 4.69663i | 0.246463 | − | 0.220181i | ||||
\(456\) | −0.315356 | + | 1.38167i | −0.0147679 | + | 0.0647024i | ||||
\(457\) | 36.4537 | + | 5.49451i | 1.70523 | + | 0.257022i | 0.928104 | − | 0.372321i | \(-0.121438\pi\) |
0.777128 | + | 0.629343i | \(0.216676\pi\) | |||||||
\(458\) | 22.8625 | − | 15.5874i | 1.06829 | − | 0.728350i | ||||
\(459\) | 12.3305 | − | 21.3570i | 0.575537 | − | 0.996860i | ||||
\(460\) | −0.830324 | − | 1.43816i | −0.0387140 | − | 0.0670547i | ||||
\(461\) | 1.36523 | + | 0.657462i | 0.0635853 | + | 0.0306211i | 0.465406 | − | 0.885097i | \(-0.345908\pi\) |
−0.401821 | + | 0.915718i | \(0.631623\pi\) | |||||||
\(462\) | −0.772181 | + | 8.22037i | −0.0359251 | + | 0.382446i | ||||
\(463\) | −2.32835 | + | 1.12127i | −0.108208 | + | 0.0521100i | −0.487205 | − | 0.873288i | \(-0.661983\pi\) |
0.378997 | + | 0.925398i | \(0.376269\pi\) | |||||||
\(464\) | 0.175324 | + | 0.119534i | 0.00813923 | + | 0.00554924i | ||||
\(465\) | −1.94772 | − | 1.80722i | −0.0903233 | − | 0.0838078i | ||||
\(466\) | −12.6036 | − | 11.6944i | −0.583850 | − | 0.541734i | ||||
\(467\) | −0.175721 | − | 0.119805i | −0.00813141 | − | 0.00554390i | 0.559248 | − | 0.829001i | \(-0.311090\pi\) |
−0.567379 | + | 0.823457i | \(0.692043\pi\) | |||||||
\(468\) | 5.16896 | − | 2.48924i | 0.238935 | − | 0.115065i | ||||
\(469\) | 1.54367 | + | 4.16237i | 0.0712800 | + | 0.192200i | ||||
\(470\) | −9.76587 | − | 4.70300i | −0.450466 | − | 0.216933i | ||||
\(471\) | −5.40874 | − | 9.36821i | −0.249221 | − | 0.431664i | ||||
\(472\) | 6.20239 | − | 10.7429i | 0.285488 | − | 0.494480i | ||||
\(473\) | 17.5769 | − | 11.9837i | 0.808187 | − | 0.551013i | ||||
\(474\) | 2.55148 | + | 0.384574i | 0.117194 | + | 0.0176641i | ||||
\(475\) | 2.00115 | − | 8.76760i | 0.0918189 | − | 0.402285i | ||||
\(476\) | −20.9278 | − | 3.55923i | −0.959225 | − | 0.163137i | ||||
\(477\) | −3.05144 | − | 13.3692i | −0.139716 | − | 0.612135i | ||||
\(478\) | 0.113026 | + | 1.50822i | 0.00516967 | + | 0.0689844i | ||||
\(479\) | 12.3735 | + | 3.81671i | 0.565358 | + | 0.174390i | 0.564242 | − | 0.825610i | \(-0.309169\pi\) |
0.00111603 | + | 0.999999i | \(0.499645\pi\) | |||||||
\(480\) | 0.247526 | + | 0.630685i | 0.0112980 | + | 0.0287867i | ||||
\(481\) | −15.4680 | + | 4.77124i | −0.705279 | + | 0.217550i | ||||
\(482\) | 10.8667 | + | 13.6264i | 0.494964 | + | 0.620666i | ||||
\(483\) | −1.70779 | + | 0.783102i | −0.0777072 | + | 0.0356324i | ||||
\(484\) | 14.1000 | − | 17.6809i | 0.640911 | − | 0.803677i | ||||
\(485\) | −3.57152 | + | 9.10009i | −0.162174 | + | 0.413214i | ||||
\(486\) | 0.949573 | − | 12.6712i | 0.0430735 | − | 0.574776i | ||||
\(487\) | 11.4577 | − | 1.72697i | 0.519197 | − | 0.0782564i | 0.115784 | − | 0.993274i | \(-0.463062\pi\) |
0.403413 | + | 0.915018i | \(0.367824\pi\) | |||||||
\(488\) | −4.63873 | + | 4.30411i | −0.209985 | + | 0.194838i | ||||
\(489\) | 3.19081 | 0.144293 | ||||||||
\(490\) | −7.46215 | + | 4.68544i | −0.337106 | + | 0.211667i | ||||
\(491\) | −28.5953 | −1.29049 | −0.645245 | − | 0.763976i | \(-0.723245\pi\) | ||||
−0.645245 | + | 0.763976i | \(0.723245\pi\) | |||||||
\(492\) | −2.64605 | + | 2.45517i | −0.119293 | + | 0.110688i | ||||
\(493\) | 1.68355 | − | 0.253754i | 0.0758232 | − | 0.0114285i | ||||
\(494\) | −0.416504 | + | 5.55786i | −0.0187394 | + | 0.250060i | ||||
\(495\) | −7.22628 | + | 18.4123i | −0.324797 | + | 0.827569i | ||||
\(496\) | −2.44511 | + | 3.06607i | −0.109789 | + | 0.137671i | ||||
\(497\) | 1.22448 | − | 4.93396i | 0.0549256 | − | 0.221318i | ||||
\(498\) | 3.15524 | + | 3.95655i | 0.141390 | + | 0.177297i | ||||
\(499\) | 26.1204 | − | 8.05708i | 1.16931 | − | 0.360684i | 0.351509 | − | 0.936185i | \(-0.385669\pi\) |
0.817802 | + | 0.575500i | \(0.195193\pi\) | |||||||
\(500\) | −3.87007 | − | 9.86077i | −0.173075 | − | 0.440987i | ||||
\(501\) | 10.3617 | + | 3.19616i | 0.462926 | + | 0.142794i | ||||
\(502\) | −0.827386 | − | 11.0407i | −0.0369280 | − | 0.492771i | ||||
\(503\) | 8.05847 | + | 35.3065i | 0.359310 | + | 1.57424i | 0.754918 | + | 0.655819i | \(0.227677\pi\) |
−0.395609 | + | 0.918419i | \(0.629466\pi\) | |||||||
\(504\) | −6.89081 | + | 1.98401i | −0.306941 | + | 0.0883748i | ||||
\(505\) | 2.37326 | − | 10.3979i | 0.105609 | − | 0.462701i | ||||
\(506\) | 7.56358 | + | 1.14003i | 0.336242 | + | 0.0506803i | ||||
\(507\) | 3.78869 | − | 2.58309i | 0.168262 | − | 0.114719i | ||||
\(508\) | −5.94379 | + | 10.2950i | −0.263713 | + | 0.456765i | ||||
\(509\) | −13.7595 | − | 23.8321i | −0.609878 | − | 1.05634i | −0.991260 | − | 0.131922i | \(-0.957885\pi\) |
0.381382 | − | 0.924418i | \(-0.375448\pi\) | |||||||
\(510\) | 4.89777 | + | 2.35864i | 0.216877 | + | 0.104442i | ||||
\(511\) | −0.0351730 | + | 0.00462487i | −0.00155596 | + | 0.000204592i | ||||
\(512\) | 0.900969 | − | 0.433884i | 0.0398176 | − | 0.0191751i | ||||
\(513\) | 6.68642 | + | 4.55872i | 0.295213 | + | 0.201273i | ||||
\(514\) | 7.65614 | + | 7.10386i | 0.337698 | + | 0.313338i | ||||
\(515\) | 14.3370 | + | 13.3027i | 0.631762 | + | 0.586189i | ||||
\(516\) | −1.63179 | − | 1.11253i | −0.0718354 | − | 0.0489765i | ||||
\(517\) | 44.9820 | − | 21.6622i | 1.97831 | − | 0.952702i | ||||
\(518\) | 20.0594 | − | 2.63760i | 0.881360 | − | 0.115889i | ||||
\(519\) | −3.58168 | − | 1.72485i | −0.157218 | − | 0.0757123i | ||||
\(520\) | 1.33225 | + | 2.30752i | 0.0584229 | + | 0.101191i | ||||
\(521\) | 3.60290 | − | 6.24041i | 0.157846 | − | 0.273397i | −0.776246 | − | 0.630430i | \(-0.782878\pi\) |
0.934092 | + | 0.357033i | \(0.116212\pi\) | |||||||
\(522\) | 0.475179 | − | 0.323972i | 0.0207980 | − | 0.0141799i | ||||
\(523\) | 26.0640 | + | 3.92851i | 1.13970 | + | 0.171782i | 0.691653 | − | 0.722230i | \(-0.256883\pi\) |
0.448044 | + | 0.894011i | \(0.352121\pi\) | |||||||
\(524\) | 1.46798 | − | 6.43164i | 0.0641290 | − | 0.280968i | ||||
\(525\) | −4.67416 | + | 1.34579i | −0.203997 | + | 0.0587351i | ||||
\(526\) | −3.39929 | − | 14.8933i | −0.148216 | − | 0.649377i | ||||
\(527\) | 2.35143 | + | 31.3776i | 0.102430 | + | 1.36683i | ||||
\(528\) | −2.98204 | − | 0.919838i | −0.129777 | − | 0.0400308i | ||||
\(529\) | −7.76696 | − | 19.7899i | −0.337694 | − | 0.860430i | ||||
\(530\) | 6.08583 | − | 1.87723i | 0.264351 | − | 0.0815416i | ||||
\(531\) | −20.9620 | − | 26.2856i | −0.909675 | − | 1.14070i | ||||
\(532\) | 1.67793 | − | 6.76107i | 0.0727473 | − | 0.293130i | ||||
\(533\) | −8.85085 | + | 11.0986i | −0.383373 | + | 0.480735i | ||||
\(534\) | 0.667541 | − | 1.70087i | 0.0288873 | − | 0.0736037i | ||||
\(535\) | −1.42360 | + | 18.9966i | −0.0615475 | + | 0.821294i | ||||
\(536\) | −1.65919 | + | 0.250083i | −0.0716662 | + | 0.0108019i | ||||
\(537\) | −2.56193 | + | 2.37713i | −0.110556 | + | 0.102581i | ||||
\(538\) | −9.55288 | −0.411854 | ||||||||
\(539\) | 4.55699 | − | 40.3281i | 0.196283 | − | 1.73705i | ||||
\(540\) | 3.86883 | 0.166488 | ||||||||
\(541\) | −23.5474 | + | 21.8488i | −1.01238 | + | 0.939354i | −0.998165 | − | 0.0605448i | \(-0.980716\pi\) |
−0.0142175 | + | 0.999899i | \(0.504526\pi\) | |||||||
\(542\) | −18.9376 | + | 2.85438i | −0.813439 | + | 0.122606i | ||||
\(543\) | −0.794217 | + | 10.5981i | −0.0340831 | + | 0.454808i | ||||
\(544\) | 2.93133 | − | 7.46891i | 0.125680 | − | 0.320227i | ||||
\(545\) | −8.03114 | + | 10.0707i | −0.344016 | + | 0.431383i | ||||
\(546\) | 2.74014 | − | 1.25648i | 0.117267 | − | 0.0537724i | ||||
\(547\) | −7.03522 | − | 8.82189i | −0.300804 | − | 0.377197i | 0.608341 | − | 0.793676i | \(-0.291835\pi\) |
−0.909145 | + | 0.416479i | \(0.863264\pi\) | |||||||
\(548\) | 12.2200 | − | 3.76936i | 0.522011 | − | 0.161019i | ||||
\(549\) | 6.26582 | + | 15.9650i | 0.267418 | + | 0.681371i | ||||
\(550\) | 18.9231 | + | 5.83699i | 0.806882 | + | 0.248890i | ||||
\(551\) | 0.0417520 | + | 0.557142i | 0.00177870 | + | 0.0237350i | ||||
\(552\) | −0.158015 | − | 0.692307i | −0.00672554 | − | 0.0294665i | ||||
\(553\) | −12.5038 | − | 2.12655i | −0.531716 | − | 0.0904300i | ||||
\(554\) | −1.09954 | + | 4.81740i | −0.0467150 | + | 0.204672i | ||||
\(555\) | −5.12313 | − | 0.772188i | −0.217465 | − | 0.0327775i | ||||
\(556\) | 7.79915 | − | 5.31737i | 0.330758 | − | 0.225507i | ||||
\(557\) | −16.3256 | + | 28.2768i | −0.691739 | + | 1.19813i | 0.279529 | + | 0.960137i | \(0.409822\pi\) |
−0.971268 | + | 0.237990i | \(0.923512\pi\) | |||||||
\(558\) | 5.31440 | + | 9.20481i | 0.224977 | + | 0.389671i | ||||
\(559\) | −6.99778 | − | 3.36995i | −0.295975 | − | 0.142534i | ||||
\(560\) | −1.15802 | − | 3.12250i | −0.0489353 | − | 0.131950i | ||||
\(561\) | −22.5593 | + | 10.8640i | −0.952456 | + | 0.458679i | ||||
\(562\) | −5.41994 | − | 3.69525i | −0.228627 | − | 0.155875i | ||||
\(563\) | 22.6438 | + | 21.0104i | 0.954323 | + | 0.885482i | 0.993509 | − | 0.113750i | \(-0.0362862\pi\) |
−0.0391866 | + | 0.999232i | \(0.512477\pi\) | |||||||
\(564\) | −3.39770 | − | 3.15260i | −0.143069 | − | 0.132748i | ||||
\(565\) | 8.22655 | + | 5.60877i | 0.346094 | + | 0.235963i | ||||
\(566\) | −0.0840590 | + | 0.0404807i | −0.00353326 | + | 0.00170153i | ||||
\(567\) | −1.60254 | + | 17.0601i | −0.0673005 | + | 0.716457i | ||||
\(568\) | 1.73115 | + | 0.833679i | 0.0726375 | + | 0.0349804i | ||||
\(569\) | 15.8946 | + | 27.5302i | 0.666335 | + | 1.15413i | 0.978921 | + | 0.204237i | \(0.0654714\pi\) |
−0.312586 | + | 0.949889i | \(0.601195\pi\) | |||||||
\(570\) | −0.891943 | + | 1.54489i | −0.0373594 | + | 0.0647083i | ||||
\(571\) | −27.8813 | + | 19.0091i | −1.16680 | + | 0.795508i | −0.982298 | − | 0.187325i | \(-0.940018\pi\) |
−0.184498 | + | 0.982833i | \(0.559066\pi\) | |||||||
\(572\) | −12.1357 | − | 1.82916i | −0.507419 | − | 0.0764812i | ||||
\(573\) | 0.817113 | − | 3.58001i | 0.0341354 | − | 0.149557i | ||||
\(574\) | 13.2318 | − | 11.8208i | 0.552285 | − | 0.493393i | ||||
\(575\) | 1.00271 | + | 4.39315i | 0.0418158 | + | 0.183207i | ||||
\(576\) | −0.202540 | − | 2.70271i | −0.00843916 | − | 0.112613i | ||||
\(577\) | −31.8083 | − | 9.81155i | −1.32419 | − | 0.408460i | −0.449563 | − | 0.893248i | \(-0.648420\pi\) |
−0.874631 | + | 0.484788i | \(0.838897\pi\) | |||||||
\(578\) | −17.3089 | − | 44.1023i | −0.719955 | − | 1.83441i | ||||
\(579\) | −7.66884 | + | 2.36552i | −0.318706 | + | 0.0983078i | ||||
\(580\) | 0.166534 | + | 0.208827i | 0.00691495 | + | 0.00867107i | ||||
\(581\) | −15.1399 | − | 19.7373i | −0.628109 | − | 0.818840i | ||||
\(582\) | −2.60635 | + | 3.26826i | −0.108037 | + | 0.135474i | ||||
\(583\) | −10.7172 | + | 27.3070i | −0.443862 | + | 1.13094i | ||||
\(584\) | 0.00100202 | − | 0.0133711i | 4.14641e−5 | − | 0.000553300i | ||||
\(585\) | 7.14088 | − | 1.07632i | 0.295239 | − | 0.0445002i | ||||
\(586\) | −20.8347 | + | 19.3318i | −0.860673 | + | 0.798587i | ||||
\(587\) | 39.3166 | 1.62277 | 0.811385 | − | 0.584512i | \(-0.198714\pi\) | ||||
0.811385 | + | 0.584512i | \(0.198714\pi\) | |||||||
\(588\) | −3.63969 | + | 0.974001i | −0.150098 | + | 0.0401671i | ||||
\(589\) | −10.3256 | −0.425458 | ||||||||
\(590\) | 11.4462 | − | 10.6205i | 0.471232 | − | 0.437239i | ||||
\(591\) | 9.06775 | − | 1.36674i | 0.372997 | − | 0.0562203i | ||||
\(592\) | −0.571461 | + | 7.62562i | −0.0234869 | + | 0.313411i | ||||
\(593\) | 2.86551 | − | 7.30121i | 0.117673 | − | 0.299825i | −0.859887 | − | 0.510485i | \(-0.829466\pi\) |
0.977559 | + | 0.210660i | \(0.0675613\pi\) | |||||||
\(594\) | −11.1106 | + | 13.9322i | −0.455873 | + | 0.571647i | ||||
\(595\) | −23.8518 | − | 12.0458i | −0.977830 | − | 0.493828i | ||||
\(596\) | −0.0201142 | − | 0.0252224i | −0.000823908 | − | 0.00103315i | ||||
\(597\) | 5.55447 | − | 1.71333i | 0.227329 | − | 0.0701218i | ||||
\(598\) | −1.02028 | − | 2.59962i | −0.0417222 | − | 0.106306i | ||||
\(599\) | −33.8929 | − | 10.4546i | −1.38482 | − | 0.427162i | −0.489277 | − | 0.872128i | \(-0.662739\pi\) |
−0.895547 | + | 0.444966i | \(0.853216\pi\) | |||||||
\(600\) | −0.137386 | − | 1.83330i | −0.00560878 | − | 0.0748440i | ||||
\(601\) | 0.667468 | + | 2.92437i | 0.0272266 | + | 0.119287i | 0.986715 | − | 0.162460i | \(-0.0519430\pi\) |
−0.959488 | + | 0.281748i | \(0.909086\pi\) | |||||||
\(602\) | 7.91641 | + | 5.61890i | 0.322649 | + | 0.229009i | ||||
\(603\) | −1.01195 | + | 4.43366i | −0.0412099 | + | 0.180552i | ||||
\(604\) | −18.4737 | − | 2.78446i | −0.751683 | − | 0.113298i | ||||
\(605\) | 23.5198 | − | 16.0355i | 0.956215 | − | 0.651936i | ||||
\(606\) | 2.28030 | − | 3.94960i | 0.0926310 | − | 0.160442i | ||||
\(607\) | −2.47279 | − | 4.28299i | −0.100367 | − | 0.173841i | 0.811469 | − | 0.584396i | \(-0.198668\pi\) |
−0.911836 | + | 0.410555i | \(0.865335\pi\) | |||||||
\(608\) | 2.37222 | + | 1.14240i | 0.0962062 | + | 0.0463305i | ||||
\(609\) | 0.252842 | − | 0.165487i | 0.0102457 | − | 0.00670588i | ||||
\(610\) | −7.17647 | + | 3.45600i | −0.290567 | + | 0.139929i | ||||
\(611\) | −15.0608 | − | 10.2683i | −0.609295 | − | 0.415411i | ||||
\(612\) | −15.9410 | − | 14.7911i | −0.644378 | − | 0.597895i | ||||
\(613\) | 1.40571 | + | 1.30430i | 0.0567759 | + | 0.0526804i | 0.708050 | − | 0.706162i | \(-0.249575\pi\) |
−0.651275 | + | 0.758842i | \(0.725765\pi\) | |||||||
\(614\) | 7.39820 | + | 5.04401i | 0.298567 | + | 0.203560i | ||||
\(615\) | −4.09364 | + | 1.97139i | −0.165071 | + | 0.0794942i | ||||
\(616\) | 14.5702 | + | 4.79706i | 0.587051 | + | 0.193279i | ||||
\(617\) | 0.000881429 | 0 | 0.000424474i | 3.54850e−5 | 0 | 1.70887e-5i | 0.433901 | − | 0.900960i | \(-0.357137\pi\) |
−0.433866 | + | 0.900977i | \(0.642851\pi\) | |||||||
\(618\) | 4.18159 | + | 7.24272i | 0.168208 | + | 0.291345i | ||||
\(619\) | 16.5619 | − | 28.6860i | 0.665678 | − | 1.15299i | −0.313423 | − | 0.949614i | \(-0.601476\pi\) |
0.979101 | − | 0.203374i | \(-0.0651909\pi\) | |||||||
\(620\) | −4.07860 | + | 2.78075i | −0.163801 | + | 0.111677i | ||||
\(621\) | −4.00964 | − | 0.604357i | −0.160902 | − | 0.0242520i | ||||
\(622\) | −1.77106 | + | 7.75950i | −0.0710128 | + | 0.311128i | ||||
\(623\) | −3.43836 | + | 8.29717i | −0.137755 | + | 0.332419i | ||||
\(624\) | 0.253533 | + | 1.11080i | 0.0101494 | + | 0.0444676i | ||||
\(625\) | 0.279786 | + | 3.73349i | 0.0111915 | + | 0.149340i | ||||
\(626\) | −3.80441 | − | 1.17351i | −0.152055 | − | 0.0469027i | ||||
\(627\) | −3.00188 | − | 7.64867i | −0.119884 | − | 0.305458i | ||||
\(628\) | −19.2046 | + | 5.92382i | −0.766345 | + | 0.236386i | ||||
\(629\) | 38.2549 | + | 47.9702i | 1.52532 | + | 1.91270i | ||||
\(630\) | −9.02450 | − | 0.170226i | −0.359545 | − | 0.00678196i | ||||
\(631\) | −28.5556 | + | 35.8076i | −1.13678 | + | 1.42548i | −0.247044 | + | 0.969004i | \(0.579459\pi\) |
−0.889737 | + | 0.456474i | \(0.849112\pi\) | |||||||
\(632\) | 1.75139 | − | 4.46248i | 0.0696667 | − | 0.177508i | ||||
\(633\) | −0.209171 | + | 2.79120i | −0.00831382 | + | 0.110940i | ||||
\(634\) | −3.14402 | + | 0.473885i | −0.124865 | + | 0.0188204i | ||||
\(635\) | −10.9689 | + | 10.1777i | −0.435289 | + | 0.403890i | ||||
\(636\) | 2.72336 | 0.107988 | ||||||||
\(637\) | −13.5831 | + | 5.92106i | −0.538182 | + | 0.234601i | ||||
\(638\) | −1.23027 | −0.0487070 | ||||||||
\(639\) | 3.81746 | − | 3.54209i | 0.151017 | − | 0.140123i | ||||
\(640\) | 1.24468 | − | 0.187606i | 0.0492004 | − | 0.00741577i | ||||
\(641\) | 2.81529 | − | 37.5675i | 0.111197 | − | 1.48383i | −0.610720 | − | 0.791847i | \(-0.709120\pi\) |
0.721917 | − | 0.691979i | \(-0.243261\pi\) | |||||||
\(642\) | −2.97604 | + | 7.58283i | −0.117455 | + | 0.299270i | ||||
\(643\) | −1.49348 | + | 1.87277i | −0.0588971 | + | 0.0738547i | −0.810407 | − | 0.585867i | \(-0.800754\pi\) |
0.751510 | + | 0.659721i | \(0.229326\pi\) | |||||||
\(644\) | 0.712397 | + | 3.41705i | 0.0280724 | + | 0.134650i | ||||
\(645\) | −1.54997 | − | 1.94360i | −0.0610301 | − | 0.0765293i | ||||
\(646\) | 20.1872 | − | 6.22691i | 0.794253 | − | 0.244995i | ||||
\(647\) | −8.60623 | − | 21.9283i | −0.338346 | − | 0.862091i | −0.994234 | − | 0.107233i | \(-0.965801\pi\) |
0.655888 | − | 0.754858i | \(-0.272294\pi\) | |||||||
\(648\) | −6.18877 | − | 1.90898i | −0.243118 | − | 0.0749919i | ||||
\(649\) | 5.37464 | + | 71.7196i | 0.210973 | + | 2.81524i | ||||
\(650\) | −1.60884 | − | 7.04878i | −0.0631038 | − | 0.276476i | ||||
\(651\) | 2.70067 | + | 4.88834i | 0.105847 | + | 0.191589i | ||||
\(652\) | 1.31913 | − | 5.77947i | 0.0516609 | − | 0.226341i | ||||
\(653\) | 0.782592 | + | 0.117957i | 0.0306252 | + | 0.00461601i | 0.164337 | − | 0.986404i | \(-0.447452\pi\) |
−0.133712 | + | 0.991020i | \(0.542690\pi\) | |||||||
\(654\) | −4.55095 | + | 3.10279i | −0.177956 | + | 0.121329i | ||||
\(655\) | 4.15199 | − | 7.19145i | 0.162232 | − | 0.280993i | ||||
\(656\) | 3.35311 | + | 5.80775i | 0.130917 | + | 0.226755i | ||||
\(657\) | −0.0327422 | − | 0.0157678i | −0.00127739 | − | 0.000615161i | ||||
\(658\) | 16.4060 | + | 15.8087i | 0.639572 | + | 0.616287i | ||||
\(659\) | −12.9955 | + | 6.25828i | −0.506231 | + | 0.243788i | −0.669525 | − | 0.742789i | \(-0.733502\pi\) |
0.163294 | + | 0.986577i | \(0.447788\pi\) | |||||||
\(660\) | −3.24558 | − | 2.21280i | −0.126334 | − | 0.0861331i | ||||
\(661\) | 29.2447 | + | 27.1351i | 1.13749 | + | 1.05543i | 0.997870 | + | 0.0652286i | \(0.0207777\pi\) |
0.139617 | + | 0.990206i | \(0.455413\pi\) | |||||||
\(662\) | −11.9271 | − | 11.0668i | −0.463561 | − | 0.430122i | ||||
\(663\) | 7.55329 | + | 5.14974i | 0.293345 | + | 0.199999i | ||||
\(664\) | 8.47086 | − | 4.07935i | 0.328733 | − | 0.158310i | ||||
\(665\) | 4.52674 | − | 7.50980i | 0.175539 | − | 0.291218i | ||||
\(666\) | 18.6731 | + | 8.99249i | 0.723568 | + | 0.348452i | ||||
\(667\) | −0.139974 | − | 0.242442i | −0.00541982 | − | 0.00938740i | ||||
\(668\) | 10.0728 | − | 17.4466i | 0.389729 | − | 0.675031i | ||||
\(669\) | −8.48311 | + | 5.78369i | −0.327976 | + | 0.223610i | ||||
\(670\) | −2.08849 | − | 0.314790i | −0.0806856 | − | 0.0121614i | ||||
\(671\) | 8.16394 | − | 35.7685i | 0.315165 | − | 1.38083i | ||||
\(672\) | −0.0796207 | − | 1.42185i | −0.00307143 | − | 0.0548492i | ||||
\(673\) | −3.65318 | − | 16.0056i | −0.140820 | − | 0.616971i | −0.995246 | − | 0.0973977i | \(-0.968948\pi\) |
0.854426 | − | 0.519573i | \(-0.173909\pi\) | |||||||
\(674\) | −0.102366 | − | 1.36597i | −0.00394298 | − | 0.0526153i | ||||
\(675\) | −10.0316 | − | 3.09434i | −0.386116 | − | 0.119101i | ||||
\(676\) | −3.11241 | − | 7.93029i | −0.119708 | − | 0.305011i | ||||
\(677\) | 0.261999 | − | 0.0808160i | 0.0100694 | − | 0.00310601i | −0.289716 | − | 0.957113i | \(-0.593561\pi\) |
0.299786 | + | 0.954007i | \(0.403085\pi\) | |||||||
\(678\) | 2.65455 | + | 3.32870i | 0.101947 | + | 0.127838i | ||||
\(679\) | 13.1121 | − | 15.8205i | 0.503196 | − | 0.607136i | ||||
\(680\) | 6.29698 | − | 7.89617i | 0.241478 | − | 0.302804i | ||||
\(681\) | 1.05166 | − | 2.67959i | 0.0402998 | − | 0.102682i | ||||
\(682\) | 1.69914 | − | 22.6735i | 0.0650635 | − | 0.868212i | ||||
\(683\) | −12.9981 | + | 1.95914i | −0.497357 | + | 0.0749646i | −0.392931 | − | 0.919568i | \(-0.628539\pi\) |
−0.104427 | + | 0.994533i | \(0.533301\pi\) | |||||||
\(684\) | 5.23112 | − | 4.85377i | 0.200017 | − | 0.185589i | ||||
\(685\) | 16.0969 | 0.615032 | ||||||||
\(686\) | 17.9778 | − | 4.44940i | 0.686397 | − | 0.169879i | ||||
\(687\) | 14.8937 | 0.568231 | ||||||||
\(688\) | −2.68972 | + | 2.49570i | −0.102545 | + | 0.0951475i | ||||
\(689\) | 10.5906 | − | 1.59627i | 0.403469 | − | 0.0608131i | ||||
\(690\) | 0.0667972 | − | 0.891347i | 0.00254293 | − | 0.0339330i | ||||
\(691\) | 9.82197 | − | 25.0260i | 0.373645 | − | 0.952032i | −0.613136 | − | 0.789977i | \(-0.710092\pi\) |
0.986782 | − | 0.162055i | \(-0.0518123\pi\) | |||||||
\(692\) | −4.60491 | + | 5.77437i | −0.175052 | + | 0.219509i | ||||
\(693\) | 26.5298 | − | 32.0097i | 1.00778 | − | 1.21595i | ||||
\(694\) | 5.94727 | + | 7.45764i | 0.225755 | + | 0.283088i | ||||
\(695\) | 11.3538 | − | 3.50219i | 0.430675 | − | 0.132846i | ||||
\(696\) | 0.0417273 | + | 0.106320i | 0.00158167 | + | 0.00403003i | ||||
\(697\) | 51.4171 | + | 15.8601i | 1.94756 | + | 0.600743i | ||||
\(698\) | 1.77612 | + | 23.7007i | 0.0672271 | + | 0.897084i | ||||
\(699\) | −2.05928 | − | 9.02231i | −0.0778892 | − | 0.341255i | ||||
\(700\) | 0.505247 | + | 9.02261i | 0.0190965 | + | 0.341023i | ||||
\(701\) | −0.0135589 | + | 0.0594053i | −0.000512111 | + | 0.00224371i | −0.975183 | − | 0.221399i | \(-0.928938\pi\) |
0.974671 | + | 0.223643i | \(0.0717949\pi\) | |||||||
\(702\) | 6.43345 | + | 0.969686i | 0.242815 | + | 0.0365984i | ||||
\(703\) | −16.6357 | + | 11.3421i | −0.627429 | + | 0.427774i | ||||
\(704\) | −2.89891 | + | 5.02106i | −0.109257 | + | 0.189238i | ||||
\(705\) | −2.91714 | − | 5.05263i | −0.109866 | − | 0.190293i | ||||
\(706\) | −1.90837 | − | 0.919025i | −0.0718226 | − | 0.0345880i | ||||
\(707\) | −11.5729 | + | 19.1992i | −0.435242 | + | 0.722062i | ||||
\(708\) | 6.01567 | − | 2.89700i | 0.226083 | − | 0.108876i | ||||
\(709\) | −12.2651 | − | 8.36222i | −0.460627 | − | 0.314050i | 0.310679 | − | 0.950515i | \(-0.399444\pi\) |
−0.771306 | + | 0.636465i | \(0.780396\pi\) | |||||||
\(710\) | 1.77295 | + | 1.64506i | 0.0665377 | + | 0.0617379i | ||||
\(711\) | −9.52434 | − | 8.83730i | −0.357191 | − | 0.331425i | ||||
\(712\) | −2.80479 | − | 1.91227i | −0.105114 | − | 0.0716654i | ||||
\(713\) | 4.66144 | − | 2.24483i | 0.174572 | − | 0.0840696i | ||||
\(714\) | −8.22792 | − | 7.92836i | −0.307922 | − | 0.296711i | ||||
\(715\) | −13.9184 | − | 6.70275i | −0.520519 | − | 0.250669i | ||||
\(716\) | 3.24652 | + | 5.62314i | 0.121328 | + | 0.210146i | ||||
\(717\) | −0.407039 | + | 0.705013i | −0.0152012 | + | 0.0263292i | ||||
\(718\) | −24.0802 | + | 16.4176i | −0.898667 | + | 0.612701i | ||||
\(719\) | −1.75064 | − | 0.263866i | −0.0652878 | − | 0.00984056i | 0.116317 | − | 0.993212i | \(-0.462891\pi\) |
−0.181605 | + | 0.983372i | \(0.558129\pi\) | |||||||
\(720\) | 0.759141 | − | 3.32601i | 0.0282915 | − | 0.123953i | ||||
\(721\) | −19.8793 | − | 35.9826i | −0.740345 | − | 1.34006i | ||||
\(722\) | −2.68527 | − | 11.7649i | −0.0999354 | − | 0.437846i | ||||
\(723\) | 0.701050 | + | 9.35486i | 0.0260723 | + | 0.347911i | ||||
\(724\) | 18.8678 | + | 5.81996i | 0.701217 | + | 0.216297i | ||||
\(725\) | −0.264788 | − | 0.674669i | −0.00983398 | − | 0.0250566i | ||||
\(726\) | 11.6316 | − | 3.58788i | 0.431690 | − | 0.133159i | ||||
\(727\) | −4.07292 | − | 5.10728i | −0.151056 | − | 0.189418i | 0.700546 | − | 0.713607i | \(-0.252940\pi\) |
−0.851602 | + | 0.524189i | \(0.824369\pi\) | |||||||
\(728\) | −1.14304 | − | 5.48262i | −0.0423637 | − | 0.203200i | ||||
\(729\) | −7.84980 | + | 9.84334i | −0.290733 | + | 0.364568i | ||||
\(730\) | 0.00616620 | − | 0.0157112i | 0.000228221 | − | 0.000581499i | ||||
\(731\) | −2.20006 | + | 29.3577i | −0.0813721 | + | 1.08584i | ||||
\(732\) | −3.36800 | + | 0.507644i | −0.124485 | + | 0.0187631i | ||||
\(733\) | 15.0267 | − | 13.9428i | 0.555026 | − | 0.514988i | −0.352036 | − | 0.935986i | \(-0.614511\pi\) |
0.907062 | + | 0.420998i | \(0.138320\pi\) | |||||||
\(734\) | 2.63686 | 0.0973283 | ||||||||
\(735\) | −4.73927 | − | 0.178854i | −0.174810 | − | 0.00659712i | ||||
\(736\) | −1.31929 | −0.0486297 | ||||||||
\(737\) | 7.13139 | − | 6.61696i | 0.262688 | − | 0.243739i | ||||
\(738\) | 17.9727 | − | 2.70895i | 0.661586 | − | 0.0997180i | ||||
\(739\) | 2.28923 | − | 30.5477i | 0.0842108 | − | 1.12371i | −0.781746 | − | 0.623597i | \(-0.785671\pi\) |
0.865957 | − | 0.500118i | \(-0.166710\pi\) | |||||||
\(740\) | −3.51663 | + | 8.96022i | −0.129274 | + | 0.329384i | ||||
\(741\) | −1.87042 | + | 2.34543i | −0.0687114 | + | 0.0861614i | ||||
\(742\) | −13.3842 | − | 0.252460i | −0.491348 | − | 0.00926812i | ||||
\(743\) | −7.12890 | − | 8.93936i | −0.261534 | − | 0.327953i | 0.633675 | − | 0.773599i | \(-0.281546\pi\) |
−0.895209 | + | 0.445646i | \(0.852974\pi\) | |||||||
\(744\) | −2.01706 | + | 0.622180i | −0.0739490 | + | 0.0228102i | ||||
\(745\) | −0.0148357 | − | 0.0378007i | −0.000543537 | − | 0.00138491i | ||||
\(746\) | −25.6342 | − | 7.90711i | −0.938536 | − | 0.289500i | ||||
\(747\) | −1.90427 | − | 25.4107i | −0.0696736 | − | 0.929729i | ||||
\(748\) | 10.3515 | + | 45.3528i | 0.378487 | + | 1.65826i | ||||
\(749\) | 15.3289 | − | 36.9905i | 0.560107 | − | 1.35160i | ||||
\(750\) | 1.26875 | − | 5.55876i | 0.0463282 | − | 0.202977i | ||||
\(751\) | 0.380245 | + | 0.0573126i | 0.0138753 | + | 0.00209137i | 0.155976 | − | 0.987761i | \(-0.450148\pi\) |
−0.142101 | + | 0.989852i | \(0.545386\pi\) | |||||||
\(752\) | −7.11492 | + | 4.85087i | −0.259454 | + | 0.176893i | ||||
\(753\) | 2.97967 | − | 5.16094i | 0.108585 | − | 0.188075i | ||||
\(754\) | 0.224587 | + | 0.388997i | 0.00817899 | + | 0.0141664i | ||||
\(755\) | −21.1874 | − | 10.2033i | −0.771089 | − | 0.371337i | ||||
\(756\) | −7.72404 | − | 2.54304i | −0.280921 | − | 0.0924896i | ||||
\(757\) | 9.19718 | − | 4.42913i | 0.334277 | − | 0.160979i | −0.259214 | − | 0.965820i | \(-0.583463\pi\) |
0.593491 | + | 0.804841i | \(0.297749\pi\) | |||||||
\(758\) | −1.70799 | − | 1.16449i | −0.0620370 | − | 0.0422961i | ||||
\(759\) | 3.01804 | + | 2.80033i | 0.109548 | + | 0.101646i | ||||
\(760\) | 2.42950 | + | 2.25424i | 0.0881271 | + | 0.0817700i | ||||
\(761\) | 32.5759 | + | 22.2099i | 1.18088 | + | 0.805108i | 0.984494 | − | 0.175419i | \(-0.0561281\pi\) |
0.196383 | + | 0.980527i | \(0.437080\pi\) | |||||||
\(762\) | −5.76486 | + | 2.77621i | −0.208839 | + | 0.100571i | ||||
\(763\) | 22.6536 | − | 14.8270i | 0.820117 | − | 0.536774i | ||||
\(764\) | −6.14661 | − | 2.96005i | −0.222377 | − | 0.107091i | ||||
\(765\) | −13.6864 | − | 23.7055i | −0.494832 | − | 0.857073i | ||||
\(766\) | 3.89405 | − | 6.74469i | 0.140698 | − | 0.243696i | ||||
\(767\) | 21.6957 | − | 14.7919i | 0.783385 | − | 0.534103i | ||||
\(768\) | 0.532240 | + | 0.0802223i | 0.0192056 | + | 0.00289477i | ||||
\(769\) | 2.91218 | − | 12.7591i | 0.105016 | − | 0.460105i | −0.894889 | − | 0.446289i | \(-0.852745\pi\) |
0.999905 | − | 0.0138152i | \(-0.00439765\pi\) | |||||||
\(770\) | 15.7455 | + | 11.1758i | 0.567429 | + | 0.402750i | ||||
\(771\) | 1.25092 | + | 5.48066i | 0.0450510 | + | 0.197381i | ||||
\(772\) | 1.11423 | + | 14.8684i | 0.0401021 | + | 0.535125i | ||||
\(773\) | 41.8364 | + | 12.9048i | 1.50475 | + | 0.464154i | 0.934092 | − | 0.357033i | \(-0.116212\pi\) |
0.570659 | + | 0.821187i | \(0.306688\pi\) | |||||||
\(774\) | 3.63317 | + | 9.25717i | 0.130592 | + | 0.332742i | ||||
\(775\) | 12.7996 | − | 3.94815i | 0.459775 | − | 0.141822i | ||||
\(776\) | 4.84225 | + | 6.07199i | 0.173827 | + | 0.217972i | ||||
\(777\) | 9.72065 | + | 4.90917i | 0.348726 | + | 0.176115i | ||||
\(778\) | −13.5622 | + | 17.0065i | −0.486229 | + | 0.609712i | ||||
\(779\) | −6.45091 | + | 16.4366i | −0.231128 | + | 0.588904i | ||||
\(780\) | −0.107176 | + | 1.43016i | −0.00383750 | + | 0.0512079i | ||||
\(781\) | −11.0157 | + | 1.66035i | −0.394173 | + | 0.0594120i | ||||
\(782\) | −7.75965 | + | 7.19990i | −0.277484 | + | 0.257468i | ||||
\(783\) | 0.652199 | 0.0233077 | ||||||||
\(784\) | 0.259494 | + | 6.99519i | 0.00926763 | + | 0.249828i | ||||
\(785\) | −25.2975 | −0.902906 | ||||||||
\(786\) | 2.60297 | − | 2.41520i | 0.0928449 | − | 0.0861475i | ||||
\(787\) | −10.8983 | + | 1.64265i | −0.388481 | + | 0.0585542i | −0.340379 | − | 0.940288i | \(-0.610555\pi\) |
−0.0481023 | + | 0.998842i | \(0.515317\pi\) | |||||||
\(788\) | 1.27317 | − | 16.9893i | 0.0453549 | − | 0.605219i | ||||
\(789\) | 3.00401 | − | 7.65409i | 0.106946 | − | 0.272493i | ||||
\(790\) | 3.76228 | − | 4.71775i | 0.133856 | − | 0.167850i | ||||
\(791\) | −12.7374 | − | 16.6052i | −0.452890 | − | 0.590414i | ||||
\(792\) | 9.79736 | + | 12.2855i | 0.348134 | + | 0.436546i | ||||
\(793\) | −12.7999 | + | 3.94824i | −0.454538 | + | 0.140206i | ||||
\(794\) | −0.855791 | − | 2.18052i | −0.0303709 | − | 0.0773837i | ||||
\(795\) | 3.27571 | + | 1.01042i | 0.116177 | + | 0.0358360i | ||||
\(796\) | −0.807029 | − | 10.7691i | −0.0286044 | − | 0.381699i | ||||
\(797\) | −5.94304 | − | 26.0382i | −0.210513 | − | 0.922319i | −0.964219 | − | 0.265107i | \(-0.914593\pi\) |
0.753706 | − | 0.657212i | \(-0.228264\pi\) | |||||||
\(798\) | 2.79623 | − | 2.49805i | 0.0989853 | − | 0.0884301i | ||||
\(799\) | −15.3745 | + | 67.3602i | −0.543912 | + | 2.38303i | ||||
\(800\) | −3.37742 | − | 0.509064i | −0.119410 | − | 0.0179981i | ||||
\(801\) | −7.60177 | + | 5.18280i | −0.268595 | + | 0.183125i | ||||
\(802\) | −13.7012 | + | 23.7311i | −0.483805 | + | 0.837975i | ||||
\(803\) | 0.0388703 | + | 0.0673253i | 0.00137170 | + | 0.00237586i | ||||
\(804\) | −0.813710 | − | 0.391862i | −0.0286973 | − | 0.0138199i | ||||
\(805\) | −0.410910 | + | 4.37440i | −0.0144827 | + | 0.154177i | ||||
\(806\) | −7.47924 | + | 3.60181i | −0.263445 | + | 0.126868i | ||||
\(807\) | −4.24840 | − | 2.89651i | −0.149551 | − | 0.101962i | ||||
\(808\) | −6.21115 | − | 5.76310i | −0.218507 | − | 0.202745i | ||||
\(809\) | −19.7453 | − | 18.3210i | −0.694208 | − | 0.644131i | 0.251986 | − | 0.967731i | \(-0.418916\pi\) |
−0.946194 | + | 0.323600i | \(0.895107\pi\) | |||||||
\(810\) | −6.73570 | − | 4.59232i | −0.236668 | − | 0.161358i | ||||
\(811\) | −43.4695 | + | 20.9338i | −1.52642 | + | 0.735085i | −0.993791 | − | 0.111264i | \(-0.964510\pi\) |
−0.532629 | + | 0.846349i | \(0.678796\pi\) | |||||||
\(812\) | −0.195216 | − | 0.526384i | −0.00685075 | − | 0.0184725i | ||||
\(813\) | −9.28747 | − | 4.47261i | −0.325726 | − | 0.156861i | ||||
\(814\) | −22.1680 | − | 38.3961i | −0.776987 | − | 1.34578i | ||||
\(815\) | 3.73097 | − | 6.46223i | 0.130690 | − | 0.226362i | ||||
\(816\) | 3.56827 | − | 2.43280i | 0.124914 | − | 0.0851652i | ||||
\(817\) | −9.55299 | − | 1.43988i | −0.334217 | − | 0.0503751i | ||||
\(818\) | −0.631666 | + | 2.76751i | −0.0220857 | + | 0.0967637i | ||||
\(819\) | −14.9641 | − | 2.54497i | −0.522888 | − | 0.0889286i | ||||
\(820\) | 1.87839 | + | 8.22975i | 0.0655961 | + | 0.287395i | ||||
\(821\) | 1.76506 | + | 23.5531i | 0.0616010 | + | 0.822008i | 0.939366 | + | 0.342916i | \(0.111415\pi\) |
−0.877765 | + | 0.479091i | \(0.840966\pi\) | |||||||
\(822\) | 6.57742 | + | 2.02886i | 0.229414 | + | 0.0707648i | ||||
\(823\) | 16.7546 | + | 42.6899i | 0.584027 | + | 1.48808i | 0.851417 | + | 0.524489i | \(0.175744\pi\) |
−0.267390 | + | 0.963588i | \(0.586161\pi\) | |||||||
\(824\) | 14.8474 | − | 4.57980i | 0.517232 | − | 0.159545i | ||||
\(825\) | 6.64573 | + | 8.33348i | 0.231375 | + | 0.290134i | ||||
\(826\) | −29.8331 | + | 13.6798i | −1.03802 | + | 0.475983i | ||||
\(827\) | 24.9152 | − | 31.2427i | 0.866387 | − | 1.08641i | −0.129111 | − | 0.991630i | \(-0.541212\pi\) |
0.995498 | − | 0.0947845i | \(-0.0302162\pi\) | |||||||
\(828\) | −1.30633 | + | 3.32848i | −0.0453982 | + | 0.115673i | ||||
\(829\) | −0.0732625 | + | 0.977620i | −0.00254451 | + | 0.0339541i | −0.998332 | − | 0.0577422i | \(-0.981610\pi\) |
0.995787 | + | 0.0916963i | \(0.0292289\pi\) | |||||||
\(830\) | 11.7024 | − | 1.76386i | 0.406198 | − | 0.0612244i | ||||
\(831\) | −1.94967 | + | 1.80903i | −0.0676332 | + | 0.0627544i | ||||
\(832\) | 2.11679 | 0.0733866 | ||||||||
\(833\) | 39.7018 | + | 39.7273i | 1.37559 | + | 1.37647i | ||||
\(834\) | 5.08074 | 0.175932 | ||||||||
\(835\) | 18.5889 | − | 17.2479i | 0.643294 | − | 0.596889i | ||||
\(836\) | −15.0949 | + | 2.27520i | −0.522070 | + | 0.0786893i | ||||
\(837\) | −0.900758 | + | 12.0198i | −0.0311348 | + | 0.415464i | ||||
\(838\) | 2.43065 | − | 6.19321i | 0.0839655 | − | 0.213941i | ||||
\(839\) | −12.3430 | + | 15.4777i | −0.426128 | + | 0.534348i | −0.947828 | − | 0.318781i | \(-0.896727\pi\) |
0.521700 | + | 0.853129i | \(0.325298\pi\) | |||||||
\(840\) | 0.431767 | − | 1.73977i | 0.0148974 | − | 0.0600279i | ||||
\(841\) | −18.0531 | − | 22.6379i | −0.622522 | − | 0.780618i | ||||
\(842\) | 26.0002 | − | 8.01999i | 0.896025 | − | 0.276387i | ||||
\(843\) | −1.28995 | − | 3.28674i | −0.0444283 | − | 0.113201i | ||||
\(844\) | 4.96919 | + | 1.53279i | 0.171046 | + | 0.0527608i | ||||
\(845\) | −0.801365 | − | 10.6935i | −0.0275678 | − | 0.367867i | ||||
\(846\) | 5.19338 | + | 22.7537i | 0.178552 | + | 0.782288i | ||||
\(847\) | −57.4971 | + | 16.5546i | −1.97562 | + | 0.568824i | ||||
\(848\) | 1.12587 | − | 4.93278i | 0.0386627 | − | 0.169392i | ||||
\(849\) | −0.0496571 | − | 0.00748461i | −0.00170423 | − | 0.000256871i | ||||
\(850\) | −22.6431 | + | 15.4378i | −0.776651 | + | 0.529511i | ||||
\(851\) | 5.04431 | − | 8.73701i | 0.172917 | − | 0.299501i | ||||
\(852\) | 0.517107 | + | 0.895656i | 0.0177158 | + | 0.0306847i | ||||
\(853\) | −17.8523 | − | 8.59722i | −0.611251 | − | 0.294363i | 0.102532 | − | 0.994730i | \(-0.467306\pi\) |
−0.713783 | + | 0.700367i | \(0.753020\pi\) | |||||||
\(854\) | 16.5993 | − | 2.18264i | 0.568018 | − | 0.0746883i | ||||
\(855\) | 8.09294 | − | 3.89735i | 0.276773 | − | 0.133287i | ||||
\(856\) | 12.5043 | + | 8.52531i | 0.427389 | + | 0.291389i | ||||
\(857\) | −11.8336 | − | 10.9800i | −0.404228 | − | 0.375069i | 0.451695 | − | 0.892173i | \(-0.350820\pi\) |
−0.855923 | + | 0.517104i | \(0.827010\pi\) | |||||||
\(858\) | −4.84243 | − | 4.49312i | −0.165318 | − | 0.153392i | ||||
\(859\) | −3.05596 | − | 2.08352i | −0.104268 | − | 0.0710888i | 0.510063 | − | 0.860137i | \(-0.329622\pi\) |
−0.614332 | + | 0.789048i | \(0.710574\pi\) | |||||||
\(860\) | −4.16120 | + | 2.00393i | −0.141896 | + | 0.0683334i | ||||
\(861\) | 9.46868 | − | 1.24503i | 0.322692 | − | 0.0424305i | ||||
\(862\) | 19.6580 | + | 9.46680i | 0.669555 | + | 0.322440i | ||||
\(863\) | −13.8882 | − | 24.0550i | −0.472759 | − | 0.818843i | 0.526755 | − | 0.850017i | \(-0.323409\pi\) |
−0.999514 | + | 0.0311744i | \(0.990075\pi\) | |||||||
\(864\) | 1.53679 | − | 2.66179i | 0.0522825 | − | 0.0905559i | ||||
\(865\) | −7.68128 | + | 5.23701i | −0.261171 | + | 0.178064i | ||||
\(866\) | −37.0201 | − | 5.57988i | −1.25799 | − | 0.189612i | ||||
\(867\) | 5.67449 | − | 24.8616i | 0.192716 | − | 0.844343i | ||||
\(868\) | 9.97067 | − | 2.87077i | 0.338427 | − | 0.0974403i | ||||
\(869\) | 6.18473 | + | 27.0971i | 0.209803 | + | 0.919206i | ||||
\(870\) | 0.0107437 | + | 0.143365i | 0.000364246 | + | 0.00486053i | ||||
\(871\) | −3.39404 | − | 1.04692i | −0.115003 | − | 0.0354736i | ||||
\(872\) | 3.73861 | + | 9.52581i | 0.126605 | + | 0.322585i | ||||
\(873\) | 20.1139 | − | 6.20432i | 0.680753 | − | 0.209985i | ||||
\(874\) | −2.16578 | − | 2.71581i | −0.0732587 | − | 0.0918635i | ||||
\(875\) | −6.75069 | + | 27.2014i | −0.228215 | + | 0.919574i | ||||
\(876\) | 0.00449985 | − | 0.00564263i | 0.000152036 | − | 0.000190647i | ||||
\(877\) | −18.2217 | + | 46.4280i | −0.615302 | + | 1.56776i | 0.194400 | + | 0.980922i | \(0.437724\pi\) |
−0.809702 | + | 0.586841i | \(0.800371\pi\) | |||||||
\(878\) | 0.605367 | − | 8.07806i | 0.0204301 | − | 0.272621i | ||||
\(879\) | −15.1272 | + | 2.28006i | −0.510229 | + | 0.0769046i | ||||
\(880\) | −5.34978 | + | 4.96387i | −0.180341 | + | 0.167332i | ||||
\(881\) | 7.77055 | 0.261797 | 0.130898 | − | 0.991396i | \(-0.458214\pi\) | ||||
0.130898 | + | 0.991396i | \(0.458214\pi\) | |||||||
\(882\) | 17.9053 | + | 6.27180i | 0.602904 | + | 0.211182i | ||||
\(883\) | 34.7830 | 1.17054 | 0.585271 | − | 0.810838i | \(-0.300988\pi\) | ||||
0.585271 | + | 0.810838i | \(0.300988\pi\) | |||||||
\(884\) | 12.4503 | − | 11.5522i | 0.418749 | − | 0.388542i | ||||
\(885\) | 8.31061 | − | 1.25262i | 0.279358 | − | 0.0421065i | ||||
\(886\) | 0.576149 | − | 7.68817i | 0.0193561 | − | 0.258289i | ||||
\(887\) | −5.65347 | + | 14.4048i | −0.189825 | + | 0.483666i | −0.993824 | − | 0.110964i | \(-0.964606\pi\) |
0.804000 | + | 0.594630i | \(0.202701\pi\) | |||||||
\(888\) | −2.56629 | + | 3.21803i | −0.0861191 | + | 0.107990i | ||||
\(889\) | 28.5892 | − | 13.1095i | 0.958852 | − | 0.439678i | ||||
\(890\) | −2.66416 | − | 3.34075i | −0.0893028 | − | 0.111982i | ||||
\(891\) | 35.8814 | − | 11.0679i | 1.20207 | − | 0.370790i | ||||
\(892\) | 6.96888 | + | 17.7564i | 0.233335 | + | 0.594528i | ||||
\(893\) | −21.6657 | − | 6.68299i | −0.725016 | − | 0.223638i | ||||
\(894\) | −0.00129764 | − | 0.0173158i | −4.33995e−5 | − | 0.000579126i | ||||
\(895\) | 1.81868 | + | 7.96814i | 0.0607916 | + | 0.266346i | ||||
\(896\) | −2.60830 | − | 0.443598i | −0.0871371 | − | 0.0148196i | ||||
\(897\) | 0.334484 | − | 1.46547i | 0.0111681 | − | 0.0489306i | ||||
\(898\) | 11.1460 | + | 1.67999i | 0.371947 | + | 0.0560620i | ||||
\(899\) | −0.687562 | + | 0.468772i | −0.0229315 | + | 0.0156344i | ||||
\(900\) | −4.62858 | + | 8.01694i | −0.154286 | + | 0.267231i | ||||
\(901\) | −20.2981 | − | 35.1574i | −0.676228 | − | 1.17126i | ||||
\(902\) | −35.0309 | − | 16.8700i | −1.16640 | − | 0.561710i | ||||
\(903\) | 1.81692 | + | 4.89918i | 0.0604635 | + | 0.163035i | ||||
\(904\) | 7.12665 | − | 3.43201i | 0.237029 | − | 0.114147i | ||||
\(905\) | 20.5353 | + | 14.0007i | 0.682616 | + | 0.465399i | ||||
\(906\) | −7.37143 | − | 6.83968i | −0.244899 | − | 0.227233i | ||||
\(907\) | 28.0399 | + | 26.0172i | 0.931049 | + | 0.863887i | 0.990938 | − | 0.134318i | \(-0.0428844\pi\) |
−0.0598897 | + | 0.998205i | \(0.519075\pi\) | |||||||
\(908\) | −4.41874 | − | 3.01265i | −0.146641 | − | 0.0999782i | ||||
\(909\) | −20.6901 | + | 9.96381i | −0.686246 | + | 0.330479i | ||||
\(910\) | 0.659302 | − | 7.01870i | 0.0218556 | − | 0.232667i | ||||
\(911\) | 7.93065 | + | 3.81920i | 0.262754 | + | 0.126536i | 0.560623 | − | 0.828071i | \(-0.310562\pi\) |
−0.297869 | + | 0.954607i | \(0.596276\pi\) | |||||||
\(912\) | 0.708599 | + | 1.22733i | 0.0234640 | + | 0.0406409i | ||||
\(913\) | −27.2554 | + | 47.2077i | −0.902022 | + | 1.56235i | ||||
\(914\) | 30.4597 | − | 20.7670i | 1.00752 | − | 0.686913i | ||||
\(915\) | −4.23944 | − | 0.638992i | −0.140151 | − | 0.0211244i | ||||
\(916\) | 6.15728 | − | 26.9768i | 0.203442 | − | 0.891338i | ||||
\(917\) | −13.0164 | + | 11.6284i | −0.429840 | + | 0.384004i | ||||
\(918\) | −5.48758 | − | 24.0426i | −0.181117 | − | 0.793525i | ||||
\(919\) | 1.57030 | + | 20.9542i | 0.0517994 | + | 0.691215i | 0.961299 | + | 0.275509i | \(0.0888463\pi\) |
−0.909499 | + | 0.415706i | \(0.863535\pi\) | |||||||
\(920\) | −1.58687 | − | 0.489484i | −0.0523175 | − | 0.0161378i | ||||
\(921\) | 1.76078 | + | 4.48639i | 0.0580196 | + | 0.147831i | ||||
\(922\) | 1.44798 | − | 0.446641i | 0.0476865 | − | 0.0147093i | ||||
\(923\) | 2.53591 | + | 3.17993i | 0.0834704 | + | 0.104669i | ||||
\(924\) | 5.02522 | + | 6.55117i | 0.165318 | + | 0.215518i | ||||
\(925\) | 16.2849 | − | 20.4206i | 0.535443 | − | 0.671424i | ||||
\(926\) | −0.944141 | + | 2.40563i | −0.0310264 | + | 0.0790540i | ||||
\(927\) | 3.14699 | − | 41.9937i | 0.103361 | − | 1.37926i | ||||
\(928\) | 0.209826 | − | 0.0316262i | 0.00688787 | − | 0.00103818i | ||||
\(929\) | −26.3088 | + | 24.4110i | −0.863164 | + | 0.800899i | −0.981378 | − | 0.192089i | \(-0.938474\pi\) |
0.118213 | + | 0.992988i | \(0.462283\pi\) | |||||||
\(930\) | −2.65700 | −0.0871264 | ||||||||
\(931\) | −13.9738 | + | 12.0177i | −0.457974 | + | 0.393863i | ||||
\(932\) | −17.1933 | −0.563186 | ||||||||
\(933\) | −3.14037 | + | 2.91384i | −0.102811 | + | 0.0953949i | ||||
\(934\) | −0.210301 | + | 0.0316977i | −0.00688125 | + | 0.00103718i | ||||
\(935\) | −4.37586 | + | 58.3918i | −0.143106 | + | 1.90962i | ||||
\(936\) | 2.09600 | − | 5.34053i | 0.0685100 | − | 0.174561i | ||||
\(937\) | 11.4477 | − | 14.3550i | 0.373980 | − | 0.468956i | −0.558852 | − | 0.829267i | \(-0.688758\pi\) |
0.932832 | + | 0.360311i | \(0.117329\pi\) | |||||||
\(938\) | 3.96272 | + | 2.00127i | 0.129387 | + | 0.0653438i | ||||
\(939\) | −1.33610 | − | 1.67542i | −0.0436019 | − | 0.0546751i | ||||
\(940\) | −10.3577 | + | 3.19494i | −0.337832 | + | 0.104207i | ||||
\(941\) | 5.71121 | + | 14.5519i | 0.186180 | + | 0.474379i | 0.993238 | − | 0.116093i | \(-0.0370369\pi\) |
−0.807058 | + | 0.590472i | \(0.798942\pi\) | |||||||
\(942\) | −10.3369 | − | 3.18851i | −0.336794 | − | 0.103887i | ||||
\(943\) | −0.661171 | − | 8.82271i | −0.0215307 | − | 0.287307i | ||||
\(944\) | −2.76032 | − | 12.0938i | −0.0898409 | − | 0.393619i | ||||
\(945\) | −8.34710 | − | 5.92460i | −0.271531 | − | 0.192727i | ||||
\(946\) | 4.73378 | − | 20.7400i | 0.153908 | − | 0.674317i | ||||
\(947\) | −30.0112 | − | 4.52346i | −0.975233 | − | 0.146993i | −0.357956 | − | 0.933738i | \(-0.616526\pi\) |
−0.617277 | + | 0.786746i | \(0.711764\pi\) | |||||||
\(948\) | 2.13195 | − | 1.45354i | 0.0692424 | − | 0.0472087i | ||||
\(949\) | 0.0141916 | − | 0.0245806i | 0.000460679 | − | 0.000797919i | ||||
\(950\) | −4.49654 | − | 7.78823i | −0.145887 | − | 0.252684i | ||||
\(951\) | −1.54191 | − | 0.742544i | −0.0499998 | − | 0.0240786i | ||||
\(952\) | −17.7621 | + | 11.6254i | −0.575672 | + | 0.376782i | ||||
\(953\) | −3.29398 | + | 1.58630i | −0.106702 | + | 0.0513852i | −0.486474 | − | 0.873695i | \(-0.661717\pi\) |
0.379771 | + | 0.925080i | \(0.376003\pi\) | |||||||
\(954\) | −11.3303 | − | 7.72484i | −0.366831 | − | 0.250101i | ||||
\(955\) | −6.29502 | − | 5.84093i | −0.203702 | − | 0.189008i | ||||
\(956\) | 1.10870 | + | 1.02873i | 0.0358581 | + | 0.0332714i | ||||
\(957\) | −0.547132 | − | 0.373029i | −0.0176863 | − | 0.0120583i | ||||
\(958\) | 11.6664 | − | 5.61825i | 0.376925 | − | 0.181517i | ||||
\(959\) | −32.1372 | − | 10.5808i | −1.03776 | − | 0.341670i | ||||
\(960\) | 0.610424 | + | 0.293965i | 0.0197014 | + | 0.00948767i | ||||
\(961\) | 7.81031 | + | 13.5279i | 0.251945 | + | 0.436382i | ||||
\(962\) | −8.09356 | + | 14.0185i | −0.260947 | + | 0.451973i | ||||
\(963\) | 33.8903 | − | 23.1060i | 1.09210 | − | 0.744581i | ||||
\(964\) | 17.2342 | + | 2.59763i | 0.555075 | + | 0.0836641i | ||||
\(965\) | −4.17626 | + | 18.2974i | −0.134439 | + | 0.589014i | ||||
\(966\) | −0.719255 | + | 1.73565i | −0.0231417 | + | 0.0558436i | ||||
\(967\) | −5.29017 | − | 23.1777i | −0.170120 | − | 0.745346i | −0.985948 | − | 0.167051i | \(-0.946575\pi\) |
0.815828 | − | 0.578295i | \(-0.196282\pi\) | |||||||
\(968\) | −1.69000 | − | 22.5515i | −0.0543186 | − | 0.724832i | ||||
\(969\) | 10.8658 | + | 3.35165i | 0.349059 | + | 0.107670i | ||||
\(970\) | 3.57152 | + | 9.10009i | 0.114675 | + | 0.292186i | ||||
\(971\) | 37.6408 | − | 11.6106i | 1.20795 | − | 0.372603i | 0.375562 | − | 0.926797i | \(-0.377450\pi\) |
0.832387 | + | 0.554194i | \(0.186973\pi\) | |||||||
\(972\) | −7.92250 | − | 9.93450i | −0.254114 | − | 0.318649i | ||||
\(973\) | −24.9697 | − | 0.470995i | −0.800492 | − | 0.0150994i | ||||
\(974\) | 7.22444 | − | 9.05916i | 0.231486 | − | 0.290274i | ||||
\(975\) | 1.42176 | − | 3.62258i | 0.0455327 | − | 0.116015i | ||||
\(976\) | −0.472890 | + | 6.31027i | −0.0151368 | + | 0.201987i | ||||
\(977\) | 52.3766 | − | 7.89451i | 1.67568 | − | 0.252568i | 0.758680 | − | 0.651463i | \(-0.225844\pi\) |
0.916996 | + | 0.398895i | \(0.130606\pi\) | |||||||
\(978\) | 2.33903 | − | 2.17030i | 0.0747939 | − | 0.0693986i | ||||
\(979\) | 19.6815 | 0.629024 | ||||||||
\(980\) | −2.28324 | + | 8.51023i | −0.0729353 | + | 0.271849i | ||||
\(981\) | 27.7349 | 0.885506 | ||||||||
\(982\) | −20.9619 | + | 19.4498i | −0.668920 | + | 0.620667i | ||||
\(983\) | −49.7486 | + | 7.49839i | −1.58673 | + | 0.239161i | −0.882327 | − | 0.470637i | \(-0.844024\pi\) |
−0.704405 | + | 0.709798i | \(0.748786\pi\) | |||||||
\(984\) | −0.269748 | + | 3.59954i | −0.00859925 | + | 0.114749i | ||||
\(985\) | 7.83478 | − | 19.9627i | 0.249637 | − | 0.636065i | ||||
\(986\) | 1.06153 | − | 1.33112i | 0.0338060 | − | 0.0423914i | ||||
\(987\) | 2.50283 | + | 12.0049i | 0.0796659 | + | 0.382121i | ||||
\(988\) | 3.47498 | + | 4.35749i | 0.110554 | + | 0.138630i | ||||
\(989\) | 4.62569 | − | 1.42684i | 0.147088 | − | 0.0453708i | ||||
\(990\) | 7.22628 | + | 18.4123i | 0.229666 | + | 0.585180i | ||||
\(991\) | 15.0814 | + | 4.65199i | 0.479075 | + | 0.147775i | 0.524882 | − | 0.851175i | \(-0.324110\pi\) |
−0.0458063 | + | 0.998950i | \(0.514586\pi\) | |||||||
\(992\) | 0.293066 | + | 3.91069i | 0.00930484 | + | 0.124165i | ||||
\(993\) | −1.94876 | − | 8.53807i | −0.0618420 | − | 0.270947i | ||||
\(994\) | −2.45834 | − | 4.44971i | −0.0779737 | − | 0.141136i | ||||
\(995\) | 3.02483 | − | 13.2526i | 0.0958936 | − | 0.420137i | ||||
\(996\) | 5.00409 | + | 0.754245i | 0.158561 | + | 0.0238992i | ||||
\(997\) | −0.862522 | + | 0.588058i | −0.0273164 | + | 0.0186240i | −0.576901 | − | 0.816814i | \(-0.695738\pi\) |
0.549585 | + | 0.835438i | \(0.314786\pi\) | |||||||
\(998\) | 13.6674 | − | 23.6727i | 0.432634 | − | 0.749345i | ||||
\(999\) | 11.7518 | + | 20.3547i | 0.371811 | + | 0.643995i |
(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 | 98.2.g.a.11.1 | yes | 24 | |
3.2 | odd | 2 | 882.2.z.d.109.1 | 24 | |||
4.3 | odd | 2 | 784.2.bg.a.305.2 | 24 | |||
7.2 | even | 3 | 686.2.g.a.471.2 | 24 | |||
7.3 | odd | 6 | 686.2.e.e.589.2 | 24 | |||
7.4 | even | 3 | 686.2.e.f.589.3 | 24 | |||
7.5 | odd | 6 | 686.2.g.c.471.1 | 24 | |||
7.6 | odd | 2 | 686.2.g.b.655.2 | 24 | |||
49.3 | odd | 42 | 4802.2.a.k.1.6 | 12 | |||
49.9 | even | 21 | inner | 98.2.g.a.9.1 | ✓ | 24 | |
49.15 | even | 7 | 686.2.g.a.67.2 | 24 | |||
49.24 | odd | 42 | 686.2.e.e.99.2 | 24 | |||
49.25 | even | 21 | 686.2.e.f.99.3 | 24 | |||
49.34 | odd | 14 | 686.2.g.c.67.1 | 24 | |||
49.40 | odd | 42 | 686.2.g.b.177.2 | 24 | |||
49.46 | even | 21 | 4802.2.a.i.1.7 | 12 | |||
147.107 | odd | 42 | 882.2.z.d.793.1 | 24 | |||
196.107 | odd | 42 | 784.2.bg.a.401.2 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
98.2.g.a.9.1 | ✓ | 24 | 49.9 | even | 21 | inner | |
98.2.g.a.11.1 | yes | 24 | 1.1 | even | 1 | trivial | |
686.2.e.e.99.2 | 24 | 49.24 | odd | 42 | |||
686.2.e.e.589.2 | 24 | 7.3 | odd | 6 | |||
686.2.e.f.99.3 | 24 | 49.25 | even | 21 | |||
686.2.e.f.589.3 | 24 | 7.4 | even | 3 | |||
686.2.g.a.67.2 | 24 | 49.15 | even | 7 | |||
686.2.g.a.471.2 | 24 | 7.2 | even | 3 | |||
686.2.g.b.177.2 | 24 | 49.40 | odd | 42 | |||
686.2.g.b.655.2 | 24 | 7.6 | odd | 2 | |||
686.2.g.c.67.1 | 24 | 49.34 | odd | 14 | |||
686.2.g.c.471.1 | 24 | 7.5 | odd | 6 | |||
784.2.bg.a.305.2 | 24 | 4.3 | odd | 2 | |||
784.2.bg.a.401.2 | 24 | 196.107 | odd | 42 | |||
882.2.z.d.109.1 | 24 | 3.2 | odd | 2 | |||
882.2.z.d.793.1 | 24 | 147.107 | odd | 42 | |||
4802.2.a.i.1.7 | 12 | 49.46 | even | 21 | |||
4802.2.a.k.1.6 | 12 | 49.3 | odd | 42 |