Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(131,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bh (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 131.11 | ||
Character | \(\chi\) | \(=\) | 273.131 |
Dual form | 273.2.bh.a.248.11 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00971 | − | 0.582955i | −0.713971 | − | 0.412211i | 0.0985587 | − | 0.995131i | \(-0.468577\pi\) |
−0.812530 | + | 0.582920i | \(0.801910\pi\) | |||||||
\(3\) | 1.67611 | − | 0.436646i | 0.967702 | − | 0.252098i | ||||
\(4\) | −0.320327 | − | 0.554823i | −0.160164 | − | 0.277412i | ||||
\(5\) | −0.156706 | + | 0.271422i | −0.0700809 | + | 0.121384i | −0.898937 | − | 0.438079i | \(-0.855659\pi\) |
0.828856 | + | 0.559462i | \(0.188992\pi\) | |||||||
\(6\) | −1.94692 | − | 0.536211i | −0.794828 | − | 0.218907i | ||||
\(7\) | 2.13875 | + | 1.55748i | 0.808372 | + | 0.588671i | ||||
\(8\) | 3.07876i | 1.08851i | ||||||||
\(9\) | 2.61868 | − | 1.46373i | 0.872893 | − | 0.487911i | ||||
\(10\) | 0.316454 | − | 0.182705i | 0.100071 | − | 0.0577763i | ||||
\(11\) | 3.79522 | − | 2.19117i | 1.14430 | − | 0.660663i | 0.196809 | − | 0.980442i | \(-0.436942\pi\) |
0.947492 | + | 0.319779i | \(0.103609\pi\) | |||||||
\(12\) | −0.779165 | − | 0.790075i | −0.224926 | − | 0.228075i | ||||
\(13\) | − | 1.00000i | − | 0.277350i | ||||||
\(14\) | −1.25157 | − | 2.81939i | −0.334497 | − | 0.753514i | ||||
\(15\) | −0.144140 | + | 0.523358i | −0.0372168 | + | 0.135130i | ||||
\(16\) | 1.15413 | − | 1.99900i | 0.288531 | − | 0.499751i | ||||
\(17\) | −1.80003 | − | 3.11774i | −0.436570 | − | 0.756162i | 0.560852 | − | 0.827916i | \(-0.310474\pi\) |
−0.997422 | + | 0.0717539i | \(0.977140\pi\) | |||||||
\(18\) | −3.49739 | − | 0.0486303i | −0.824343 | − | 0.0114623i | ||||
\(19\) | −1.27605 | − | 0.736727i | −0.292745 | − | 0.169017i | 0.346434 | − | 0.938074i | \(-0.387393\pi\) |
−0.639179 | + | 0.769058i | \(0.720726\pi\) | |||||||
\(20\) | 0.200788 | 0.0448977 | ||||||||
\(21\) | 4.26485 | + | 1.67662i | 0.930666 | + | 0.365870i | ||||
\(22\) | −5.10941 | −1.08933 | ||||||||
\(23\) | −6.20466 | − | 3.58226i | −1.29376 | − | 0.746953i | −0.314442 | − | 0.949277i | \(-0.601817\pi\) |
−0.979319 | + | 0.202323i | \(0.935151\pi\) | |||||||
\(24\) | 1.34433 | + | 5.16034i | 0.274410 | + | 1.05335i | ||||
\(25\) | 2.45089 | + | 4.24506i | 0.490177 | + | 0.849012i | ||||
\(26\) | −0.582955 | + | 1.00971i | −0.114327 | + | 0.198020i | ||||
\(27\) | 3.75006 | − | 3.59681i | 0.721699 | − | 0.692207i | ||||
\(28\) | 0.179024 | − | 1.68553i | 0.0338324 | − | 0.318536i | ||||
\(29\) | 2.70881i | 0.503013i | 0.967856 | + | 0.251507i | \(0.0809261\pi\) | ||||
−0.967856 | + | 0.251507i | \(0.919074\pi\) | |||||||
\(30\) | 0.450633 | − | 0.444411i | 0.0822740 | − | 0.0811380i | ||||
\(31\) | −4.67385 | + | 2.69845i | −0.839449 | + | 0.484656i | −0.857077 | − | 0.515188i | \(-0.827722\pi\) |
0.0176278 | + | 0.999845i | \(0.494389\pi\) | |||||||
\(32\) | 3.00192 | − | 1.73316i | 0.530669 | − | 0.306382i | ||||
\(33\) | 5.40443 | − | 5.32981i | 0.940791 | − | 0.927800i | ||||
\(34\) | 4.19734i | 0.719837i | ||||||||
\(35\) | −0.757889 | + | 0.336439i | −0.128107 | + | 0.0568686i | ||||
\(36\) | −1.65095 | − | 0.984031i | −0.275158 | − | 0.164005i | ||||
\(37\) | −1.07911 | + | 1.86908i | −0.177405 | + | 0.307275i | −0.940991 | − | 0.338431i | \(-0.890104\pi\) |
0.763586 | + | 0.645706i | \(0.223437\pi\) | |||||||
\(38\) | 0.858957 | + | 1.48776i | 0.139341 | + | 0.241346i | ||||
\(39\) | −0.436646 | − | 1.67611i | −0.0699194 | − | 0.268392i | ||||
\(40\) | −0.835645 | − | 0.482460i | −0.132127 | − | 0.0762836i | ||||
\(41\) | 8.78641 | 1.37221 | 0.686104 | − | 0.727504i | \(-0.259320\pi\) | ||||
0.686104 | + | 0.727504i | \(0.259320\pi\) | |||||||
\(42\) | −3.32885 | − | 4.17911i | −0.513653 | − | 0.644851i | ||||
\(43\) | −0.0932870 | −0.0142261 | −0.00711306 | − | 0.999975i | \(-0.502264\pi\) | ||||
−0.00711306 | + | 0.999975i | \(0.502264\pi\) | |||||||
\(44\) | −2.43143 | − | 1.40378i | −0.366551 | − | 0.211628i | ||||
\(45\) | −0.0130724 | + | 0.940143i | −0.00194872 | + | 0.140148i | ||||
\(46\) | 4.17659 | + | 7.23407i | 0.615805 | + | 1.06661i | ||||
\(47\) | 3.56796 | − | 6.17989i | 0.520441 | − | 0.901430i | −0.479277 | − | 0.877664i | \(-0.659101\pi\) |
0.999718 | − | 0.0237662i | \(-0.00756573\pi\) | |||||||
\(48\) | 1.06158 | − | 3.85449i | 0.153226 | − | 0.556348i | ||||
\(49\) | 2.14852 | + | 6.66212i | 0.306932 | + | 0.951732i | ||||
\(50\) | − | 5.71502i | − | 0.808226i | ||||||
\(51\) | −4.37839 | − | 4.43969i | −0.613097 | − | 0.621681i | ||||
\(52\) | −0.554823 | + | 0.320327i | −0.0769402 | + | 0.0444214i | ||||
\(53\) | −9.29072 | + | 5.36400i | −1.27618 | + | 0.736802i | −0.976144 | − | 0.217126i | \(-0.930332\pi\) |
−0.300035 | + | 0.953928i | \(0.596998\pi\) | |||||||
\(54\) | −5.88324 | + | 1.44561i | −0.800608 | + | 0.196723i | ||||
\(55\) | 1.37347i | 0.185199i | ||||||||
\(56\) | −4.79511 | + | 6.58472i | −0.640773 | + | 0.879920i | ||||
\(57\) | −2.46048 | − | 0.677652i | −0.325899 | − | 0.0897572i | ||||
\(58\) | 1.57911 | − | 2.73511i | 0.207348 | − | 0.359137i | ||||
\(59\) | 5.87796 | + | 10.1809i | 0.765245 | + | 1.32544i | 0.940117 | + | 0.340852i | \(0.110715\pi\) |
−0.174872 | + | 0.984591i | \(0.555951\pi\) | |||||||
\(60\) | 0.336543 | − | 0.0876735i | 0.0434475 | − | 0.0113186i | ||||
\(61\) | −5.91478 | − | 3.41490i | −0.757310 | − | 0.437233i | 0.0710192 | − | 0.997475i | \(-0.477375\pi\) |
−0.828329 | + | 0.560242i | \(0.810708\pi\) | |||||||
\(62\) | 6.29230 | 0.799123 | ||||||||
\(63\) | 7.88044 | + | 0.947976i | 0.992842 | + | 0.119434i | ||||
\(64\) | −8.65792 | −1.08224 | ||||||||
\(65\) | 0.271422 | + | 0.156706i | 0.0336658 | + | 0.0194369i | ||||
\(66\) | −8.56393 | + | 2.23101i | −1.05415 | + | 0.274618i | ||||
\(67\) | 5.49567 | + | 9.51877i | 0.671402 | + | 1.16290i | 0.977507 | + | 0.210905i | \(0.0676411\pi\) |
−0.306104 | + | 0.951998i | \(0.599026\pi\) | |||||||
\(68\) | −1.15320 | + | 1.99739i | −0.139846 | + | 0.242220i | ||||
\(69\) | −11.9639 | − | 3.29502i | −1.44028 | − | 0.396674i | ||||
\(70\) | 0.961374 | + | 0.102110i | 0.114906 | + | 0.0122045i | ||||
\(71\) | 8.39369i | 0.996148i | 0.867135 | + | 0.498074i | \(0.165959\pi\) | ||||
−0.867135 | + | 0.498074i | \(0.834041\pi\) | |||||||
\(72\) | 4.50649 | + | 8.06230i | 0.531095 | + | 0.950151i | ||||
\(73\) | −4.82127 | + | 2.78356i | −0.564287 | + | 0.325791i | −0.754864 | − | 0.655881i | \(-0.772297\pi\) |
0.190577 | + | 0.981672i | \(0.438964\pi\) | |||||||
\(74\) | 2.17918 | − | 1.25815i | 0.253324 | − | 0.146257i | ||||
\(75\) | 5.96154 | + | 6.04501i | 0.688380 | + | 0.698018i | ||||
\(76\) | 0.943975i | 0.108281i | ||||||||
\(77\) | 11.5297 | + | 1.22460i | 1.31393 | + | 0.139556i | ||||
\(78\) | −0.536211 | + | 1.94692i | −0.0607139 | + | 0.220446i | ||||
\(79\) | −1.21864 | + | 2.11075i | −0.137108 | + | 0.237478i | −0.926401 | − | 0.376539i | \(-0.877114\pi\) |
0.789293 | + | 0.614017i | \(0.210447\pi\) | |||||||
\(80\) | 0.361716 | + | 0.626510i | 0.0404411 | + | 0.0700460i | ||||
\(81\) | 4.71497 | − | 7.66610i | 0.523886 | − | 0.851789i | ||||
\(82\) | −8.87171 | − | 5.12208i | −0.979716 | − | 0.565639i | ||||
\(83\) | −14.4055 | −1.58121 | −0.790607 | − | 0.612324i | \(-0.790235\pi\) | ||||
−0.790607 | + | 0.612324i | \(0.790235\pi\) | |||||||
\(84\) | −0.435917 | − | 2.90331i | −0.0475625 | − | 0.316777i | ||||
\(85\) | 1.12830 | 0.122381 | ||||||||
\(86\) | 0.0941925 | + | 0.0543821i | 0.0101570 | + | 0.00586417i | ||||
\(87\) | 1.18279 | + | 4.54026i | 0.126809 | + | 0.486767i | ||||
\(88\) | 6.74610 | + | 11.6846i | 0.719137 | + | 1.24558i | ||||
\(89\) | −3.01244 | + | 5.21770i | −0.319318 | + | 0.553075i | −0.980346 | − | 0.197286i | \(-0.936787\pi\) |
0.661028 | + | 0.750361i | \(0.270120\pi\) | |||||||
\(90\) | 0.561260 | − | 0.941648i | 0.0591620 | − | 0.0992585i | ||||
\(91\) | 1.55748 | − | 2.13875i | 0.163268 | − | 0.224202i | ||||
\(92\) | 4.58999i | 0.478539i | ||||||||
\(93\) | −6.65562 | + | 6.56372i | −0.690156 | + | 0.680626i | ||||
\(94\) | −7.20520 | + | 4.15992i | −0.743159 | + | 0.429063i | ||||
\(95\) | 0.399928 | − | 0.230898i | 0.0410317 | − | 0.0236897i | ||||
\(96\) | 4.27476 | − | 4.21574i | 0.436291 | − | 0.430267i | ||||
\(97\) | − | 8.53007i | − | 0.866097i | −0.901371 | − | 0.433049i | \(-0.857438\pi\) | ||
0.901371 | − | 0.433049i | \(-0.142562\pi\) | |||||||
\(98\) | 1.71434 | − | 7.97928i | 0.173174 | − | 0.806029i | ||||
\(99\) | 6.73118 | − | 11.2932i | 0.676509 | − | 1.13501i | ||||
\(100\) | 1.57017 | − | 2.71962i | 0.157017 | − | 0.271962i | ||||
\(101\) | −2.60344 | − | 4.50929i | −0.259052 | − | 0.448691i | 0.706936 | − | 0.707277i | \(-0.250077\pi\) |
−0.965988 | + | 0.258586i | \(0.916743\pi\) | |||||||
\(102\) | 1.83275 | + | 7.03519i | 0.181469 | + | 0.696588i | ||||
\(103\) | −9.62280 | − | 5.55572i | −0.948162 | − | 0.547422i | −0.0556528 | − | 0.998450i | \(-0.517724\pi\) |
−0.892510 | + | 0.451028i | \(0.851057\pi\) | |||||||
\(104\) | 3.07876 | 0.301898 | ||||||||
\(105\) | −1.12340 | + | 0.894837i | −0.109632 | + | 0.0873272i | ||||
\(106\) | 12.5079 | 1.21487 | ||||||||
\(107\) | −7.15876 | − | 4.13311i | −0.692063 | − | 0.399563i | 0.112321 | − | 0.993672i | \(-0.464171\pi\) |
−0.804384 | + | 0.594109i | \(0.797505\pi\) | |||||||
\(108\) | −3.19684 | − | 0.928463i | −0.307616 | − | 0.0893414i | ||||
\(109\) | −7.38720 | − | 12.7950i | −0.707565 | − | 1.22554i | −0.965758 | − | 0.259445i | \(-0.916460\pi\) |
0.258193 | − | 0.966093i | \(-0.416873\pi\) | |||||||
\(110\) | 0.800674 | − | 1.38681i | 0.0763412 | − | 0.132227i | ||||
\(111\) | −0.992586 | + | 3.60397i | −0.0942121 | + | 0.342074i | ||||
\(112\) | 5.58179 | − | 2.47785i | 0.527430 | − | 0.234135i | ||||
\(113\) | 8.77280i | 0.825276i | 0.910895 | + | 0.412638i | \(0.135393\pi\) | ||||
−0.910895 | + | 0.412638i | \(0.864607\pi\) | |||||||
\(114\) | 2.08933 | + | 2.11858i | 0.195683 | + | 0.198423i | ||||
\(115\) | 1.94461 | − | 1.12272i | 0.181336 | − | 0.104694i | ||||
\(116\) | 1.50291 | − | 0.867706i | 0.139542 | − | 0.0805645i | ||||
\(117\) | −1.46373 | − | 2.61868i | −0.135322 | − | 0.242097i | ||||
\(118\) | − | 13.7063i | − | 1.26177i | ||||||
\(119\) | 1.00600 | − | 9.47157i | 0.0922196 | − | 0.868257i | ||||
\(120\) | −1.61130 | − | 0.443774i | −0.147090 | − | 0.0405108i | ||||
\(121\) | 4.10246 | − | 7.10566i | 0.372951 | − | 0.645969i | ||||
\(122\) | 3.98146 | + | 6.89610i | 0.360465 | + | 0.624343i | ||||
\(123\) | 14.7270 | − | 3.83655i | 1.32789 | − | 0.345930i | ||||
\(124\) | 2.99433 | + | 1.72878i | 0.268899 | + | 0.155249i | ||||
\(125\) | −3.10333 | −0.277570 | ||||||||
\(126\) | −7.40431 | − | 5.55112i | −0.659628 | − | 0.494533i | ||||
\(127\) | 14.7711 | 1.31073 | 0.655363 | − | 0.755314i | \(-0.272516\pi\) | ||||
0.655363 | + | 0.755314i | \(0.272516\pi\) | |||||||
\(128\) | 2.73812 | + | 1.58086i | 0.242018 | + | 0.139729i | ||||
\(129\) | −0.156359 | + | 0.0407334i | −0.0137666 | + | 0.00358638i | ||||
\(130\) | −0.182705 | − | 0.316454i | −0.0160243 | − | 0.0277548i | ||||
\(131\) | −0.576985 | + | 0.999368i | −0.0504114 | + | 0.0873152i | −0.890130 | − | 0.455707i | \(-0.849387\pi\) |
0.839719 | + | 0.543022i | \(0.182720\pi\) | |||||||
\(132\) | −4.68829 | − | 1.29122i | −0.408063 | − | 0.112386i | ||||
\(133\) | −1.58171 | − | 3.56309i | −0.137152 | − | 0.308959i | ||||
\(134\) | − | 12.8149i | − | 1.10704i | ||||||
\(135\) | 0.388599 | + | 1.58149i | 0.0334453 | + | 0.136113i | ||||
\(136\) | 9.59878 | − | 5.54186i | 0.823088 | − | 0.475210i | ||||
\(137\) | −6.17328 | + | 3.56415i | −0.527419 | + | 0.304506i | −0.739965 | − | 0.672645i | \(-0.765158\pi\) |
0.212546 | + | 0.977151i | \(0.431825\pi\) | |||||||
\(138\) | 10.1592 | + | 10.3014i | 0.864805 | + | 0.876913i | ||||
\(139\) | − | 7.46359i | − | 0.633054i | −0.948584 | − | 0.316527i | \(-0.897483\pi\) | ||
0.948584 | − | 0.316527i | \(-0.102517\pi\) | |||||||
\(140\) | 0.429437 | + | 0.312724i | 0.0362940 | + | 0.0264300i | ||||
\(141\) | 3.28187 | − | 11.9161i | 0.276383 | − | 1.00352i | ||||
\(142\) | 4.89314 | − | 8.47517i | 0.410623 | − | 0.711220i | ||||
\(143\) | −2.19117 | − | 3.79522i | −0.183235 | − | 0.317372i | ||||
\(144\) | 0.0962775 | − | 6.92408i | 0.00802313 | − | 0.577007i | ||||
\(145\) | −0.735231 | − | 0.424486i | −0.0610576 | − | 0.0352516i | ||||
\(146\) | 6.49076 | 0.537179 | ||||||||
\(147\) | 6.51015 | + | 10.2283i | 0.536948 | + | 0.843615i | ||||
\(148\) | 1.38268 | 0.113656 | ||||||||
\(149\) | 8.14052 | + | 4.69993i | 0.666898 | + | 0.385033i | 0.794900 | − | 0.606740i | \(-0.207523\pi\) |
−0.128003 | + | 0.991774i | \(0.540857\pi\) | |||||||
\(150\) | −2.49544 | − | 9.57900i | −0.203752 | − | 0.782122i | ||||
\(151\) | 8.54017 | + | 14.7920i | 0.694989 | + | 1.20376i | 0.970184 | + | 0.242368i | \(0.0779243\pi\) |
−0.275195 | + | 0.961388i | \(0.588742\pi\) | |||||||
\(152\) | 2.26821 | − | 3.92865i | 0.183976 | − | 0.318656i | ||||
\(153\) | −9.27723 | − | 5.52960i | −0.750019 | − | 0.447041i | ||||
\(154\) | −10.9278 | − | 7.95780i | −0.880585 | − | 0.641258i | ||||
\(155\) | − | 1.69145i | − | 0.135861i | ||||||
\(156\) | −0.790075 | + | 0.779165i | −0.0632566 | + | 0.0623831i | ||||
\(157\) | −1.02128 | + | 0.589637i | −0.0815071 | + | 0.0470582i | −0.540200 | − | 0.841537i | \(-0.681651\pi\) |
0.458693 | + | 0.888595i | \(0.348318\pi\) | |||||||
\(158\) | 2.46095 | − | 1.42083i | 0.195782 | − | 0.113035i | ||||
\(159\) | −13.2301 | + | 13.0474i | −1.04921 | + | 1.03473i | ||||
\(160\) | 1.08638i | 0.0858861i | ||||||||
\(161\) | −7.69093 | − | 17.3252i | −0.606131 | − | 1.36542i | ||||
\(162\) | −9.22973 | + | 4.99190i | −0.725156 | + | 0.392201i | ||||
\(163\) | −0.710931 | + | 1.23137i | −0.0556844 | + | 0.0964483i | −0.892524 | − | 0.451000i | \(-0.851067\pi\) |
0.836839 | + | 0.547448i | \(0.184401\pi\) | |||||||
\(164\) | −2.81453 | − | 4.87491i | −0.219778 | − | 0.380666i | ||||
\(165\) | 0.599723 | + | 2.30209i | 0.0466883 | + | 0.179218i | ||||
\(166\) | 14.5454 | + | 8.39778i | 1.12894 | + | 0.651794i | ||||
\(167\) | −2.74952 | −0.212765 | −0.106382 | − | 0.994325i | \(-0.533927\pi\) | ||||
−0.106382 | + | 0.994325i | \(0.533927\pi\) | |||||||
\(168\) | −5.16193 | + | 13.1305i | −0.398252 | + | 1.01304i | ||||
\(169\) | −1.00000 | −0.0769231 | ||||||||
\(170\) | −1.13925 | − | 0.657746i | −0.0873765 | − | 0.0504468i | ||||
\(171\) | −4.41993 | − | 0.0614580i | −0.338001 | − | 0.00469981i | ||||
\(172\) | 0.0298824 | + | 0.0517578i | 0.00227851 | + | 0.00394649i | ||||
\(173\) | −3.00783 | + | 5.20971i | −0.228681 | + | 0.396087i | −0.957417 | − | 0.288707i | \(-0.906775\pi\) |
0.728737 | + | 0.684794i | \(0.240108\pi\) | |||||||
\(174\) | 1.45249 | − | 5.27385i | 0.110113 | − | 0.399809i | ||||
\(175\) | −1.36975 | + | 12.8963i | −0.103543 | + | 0.974871i | ||||
\(176\) | − | 10.1155i | − | 0.762488i | ||||||
\(177\) | 14.2976 | + | 14.4977i | 1.07467 | + | 1.08972i | ||||
\(178\) | 6.08336 | − | 3.51223i | 0.455967 | − | 0.263253i | ||||
\(179\) | 7.17837 | − | 4.14444i | 0.536537 | − | 0.309770i | −0.207137 | − | 0.978312i | \(-0.566415\pi\) |
0.743674 | + | 0.668542i | \(0.233081\pi\) | |||||||
\(180\) | 0.525801 | − | 0.293901i | 0.0391909 | − | 0.0219061i | ||||
\(181\) | − | 19.8158i | − | 1.47290i | −0.676494 | − | 0.736448i | \(-0.736502\pi\) | ||
0.676494 | − | 0.736448i | \(-0.263498\pi\) | |||||||
\(182\) | −2.81939 | + | 1.25157i | −0.208987 | + | 0.0927729i | ||||
\(183\) | −11.4049 | − | 3.14108i | −0.843076 | − | 0.232195i | ||||
\(184\) | 11.0289 | − | 19.1027i | 0.813064 | − | 1.40827i | ||||
\(185\) | −0.338207 | − | 0.585791i | −0.0248654 | − | 0.0430682i | ||||
\(186\) | 10.5466 | − | 2.74751i | 0.773313 | − | 0.201457i | ||||
\(187\) | −13.6630 | − | 7.88833i | −0.999136 | − | 0.576852i | ||||
\(188\) | −4.57167 | −0.333423 | ||||||||
\(189\) | 13.6224 | − | 1.85205i | 0.990884 | − | 0.134717i | ||||
\(190\) | −0.538413 | −0.0390606 | ||||||||
\(191\) | 16.6994 | + | 9.64142i | 1.20833 | + | 0.697629i | 0.962394 | − | 0.271657i | \(-0.0875718\pi\) |
0.245935 | + | 0.969286i | \(0.420905\pi\) | |||||||
\(192\) | −14.5116 | + | 3.78045i | −1.04728 | + | 0.272830i | ||||
\(193\) | −4.25091 | − | 7.36279i | −0.305987 | − | 0.529985i | 0.671494 | − | 0.741010i | \(-0.265653\pi\) |
−0.977481 | + | 0.211025i | \(0.932320\pi\) | |||||||
\(194\) | −4.97264 | + | 8.61287i | −0.357015 | + | 0.618368i | ||||
\(195\) | 0.523358 | + | 0.144140i | 0.0374784 | + | 0.0103221i | ||||
\(196\) | 3.00807 | − | 3.32611i | 0.214862 | − | 0.237579i | ||||
\(197\) | 2.05950i | 0.146734i | 0.997305 | + | 0.0733668i | \(0.0233744\pi\) | ||||
−0.997305 | + | 0.0733668i | \(0.976626\pi\) | |||||||
\(198\) | −13.3799 | + | 7.47882i | −0.950869 | + | 0.531496i | ||||
\(199\) | −22.0328 | + | 12.7207i | −1.56187 | + | 0.901744i | −0.564798 | + | 0.825229i | \(0.691046\pi\) |
−0.997068 | + | 0.0765144i | \(0.975621\pi\) | |||||||
\(200\) | −13.0695 | + | 7.54570i | −0.924156 | + | 0.533562i | ||||
\(201\) | 13.3677 | + | 13.5548i | 0.942883 | + | 0.956084i | ||||
\(202\) | 6.07075i | 0.427136i | ||||||||
\(203\) | −4.21891 | + | 5.79347i | −0.296110 | + | 0.406622i | ||||
\(204\) | −1.06073 | + | 3.85139i | −0.0742657 | + | 0.269651i | ||||
\(205\) | −1.37688 | + | 2.38483i | −0.0961655 | + | 0.166564i | ||||
\(206\) | 6.47747 | + | 11.2193i | 0.451307 | + | 0.781686i | ||||
\(207\) | −21.4915 | − | 0.298833i | −1.49376 | − | 0.0207704i | ||||
\(208\) | −1.99900 | − | 1.15413i | −0.138606 | − | 0.0800242i | ||||
\(209\) | −6.45717 | −0.446652 | ||||||||
\(210\) | 1.65595 | − | 0.248633i | 0.114272 | − | 0.0171573i | ||||
\(211\) | 24.0274 | 1.65411 | 0.827057 | − | 0.562118i | \(-0.190013\pi\) | ||||
0.827057 | + | 0.562118i | \(0.190013\pi\) | |||||||
\(212\) | 5.95215 | + | 3.43647i | 0.408795 | + | 0.236018i | ||||
\(213\) | 3.66507 | + | 14.0687i | 0.251127 | + | 0.963974i | ||||
\(214\) | 4.81883 | + | 8.34646i | 0.329409 | + | 0.570552i | ||||
\(215\) | 0.0146186 | − | 0.0253201i | 0.000996980 | − | 0.00172682i | ||||
\(216\) | 11.0737 | + | 11.5455i | 0.753472 | + | 0.785575i | ||||
\(217\) | −14.1990 | − | 1.50811i | −0.963891 | − | 0.102377i | ||||
\(218\) | 17.2256i | 1.16667i | ||||||||
\(219\) | −6.86554 | + | 6.77074i | −0.463930 | + | 0.457524i | ||||
\(220\) | 0.762036 | − | 0.439962i | 0.0513765 | − | 0.0296622i | ||||
\(221\) | −3.11774 | + | 1.80003i | −0.209722 | + | 0.121083i | ||||
\(222\) | 3.10318 | − | 3.06033i | 0.208271 | − | 0.205396i | ||||
\(223\) | 27.3470i | 1.83129i | 0.401990 | + | 0.915644i | \(0.368319\pi\) | ||||
−0.401990 | + | 0.915644i | \(0.631681\pi\) | |||||||
\(224\) | 9.11972 | + | 0.968627i | 0.609337 | + | 0.0647191i | ||||
\(225\) | 12.6317 | + | 7.52901i | 0.842115 | + | 0.501934i | ||||
\(226\) | 5.11415 | − | 8.85796i | 0.340188 | − | 0.589223i | ||||
\(227\) | −10.2443 | − | 17.7437i | −0.679941 | − | 1.17769i | −0.974998 | − | 0.222213i | \(-0.928672\pi\) |
0.295057 | − | 0.955480i | \(-0.404661\pi\) | |||||||
\(228\) | 0.412183 | + | 1.58220i | 0.0272975 | + | 0.104784i | ||||
\(229\) | −7.02553 | − | 4.05619i | −0.464260 | − | 0.268041i | 0.249574 | − | 0.968356i | \(-0.419710\pi\) |
−0.713834 | + | 0.700315i | \(0.753043\pi\) | |||||||
\(230\) | −2.61798 | −0.172625 | ||||||||
\(231\) | 19.8598 | − | 2.98185i | 1.30668 | − | 0.196191i | ||||
\(232\) | −8.33979 | −0.547534 | ||||||||
\(233\) | −14.5048 | − | 8.37434i | −0.950240 | − | 0.548621i | −0.0570844 | − | 0.998369i | \(-0.518180\pi\) |
−0.893155 | + | 0.449748i | \(0.851514\pi\) | |||||||
\(234\) | −0.0486303 | + | 3.49739i | −0.00317906 | + | 0.228632i | ||||
\(235\) | 1.11824 | + | 1.93685i | 0.0729459 | + | 0.126346i | ||||
\(236\) | 3.76574 | − | 6.52246i | 0.245129 | − | 0.424576i | ||||
\(237\) | −1.12093 | + | 4.06997i | −0.0728120 | + | 0.264373i | ||||
\(238\) | −6.53726 | + | 8.97706i | −0.423748 | + | 0.581896i | ||||
\(239\) | 9.35739i | 0.605279i | 0.953105 | + | 0.302640i | \(0.0978678\pi\) | ||||
−0.953105 | + | 0.302640i | \(0.902132\pi\) | |||||||
\(240\) | 0.879839 | + | 0.892158i | 0.0567933 | + | 0.0575885i | ||||
\(241\) | 15.3922 | − | 8.88668i | 0.991498 | − | 0.572442i | 0.0857762 | − | 0.996314i | \(-0.472663\pi\) |
0.905722 | + | 0.423873i | \(0.139330\pi\) | |||||||
\(242\) | −8.28456 | + | 4.78309i | −0.532552 | + | 0.307469i | ||||
\(243\) | 4.55543 | − | 14.9080i | 0.292231 | − | 0.956348i | ||||
\(244\) | 4.37554i | 0.280116i | ||||||||
\(245\) | −2.14493 | − | 0.460835i | −0.137035 | − | 0.0294417i | ||||
\(246\) | −17.1065 | − | 4.71137i | −1.09067 | − | 0.300386i | ||||
\(247\) | −0.736727 | + | 1.27605i | −0.0468768 | + | 0.0811930i | ||||
\(248\) | −8.30790 | − | 14.3897i | −0.527552 | − | 0.913747i | ||||
\(249\) | −24.1452 | + | 6.29012i | −1.53014 | + | 0.398620i | ||||
\(250\) | 3.13345 | + | 1.80910i | 0.198177 | + | 0.114417i | ||||
\(251\) | 28.6799 | 1.81026 | 0.905128 | − | 0.425139i | \(-0.139775\pi\) | ||||
0.905128 | + | 0.425139i | \(0.139775\pi\) | |||||||
\(252\) | −1.99836 | − | 4.67592i | −0.125885 | − | 0.294555i | ||||
\(253\) | −31.3974 | −1.97394 | ||||||||
\(254\) | −14.9145 | − | 8.61090i | −0.935820 | − | 0.540296i | ||||
\(255\) | 1.89115 | − | 0.492667i | 0.118428 | − | 0.0308520i | ||||
\(256\) | 6.81478 | + | 11.8035i | 0.425924 | + | 0.737722i | ||||
\(257\) | 7.18769 | − | 12.4494i | 0.448356 | − | 0.776575i | −0.549923 | − | 0.835215i | \(-0.685343\pi\) |
0.998279 | + | 0.0586399i | \(0.0186764\pi\) | |||||||
\(258\) | 0.181623 | + | 0.0500215i | 0.0113073 | + | 0.00311420i | ||||
\(259\) | −5.21901 | + | 2.31680i | −0.324294 | + | 0.143959i | ||||
\(260\) | − | 0.200788i | − | 0.0124524i | ||||||
\(261\) | 3.96498 | + | 7.09351i | 0.245426 | + | 0.439077i | ||||
\(262\) | 1.16517 | − | 0.672713i | 0.0719846 | − | 0.0415603i | ||||
\(263\) | 19.9146 | − | 11.4977i | 1.22799 | − | 0.708978i | 0.261377 | − | 0.965237i | \(-0.415823\pi\) |
0.966608 | + | 0.256259i | \(0.0824901\pi\) | |||||||
\(264\) | 16.4092 | + | 16.6390i | 1.00992 | + | 1.02406i | ||||
\(265\) | − | 3.36228i | − | 0.206543i | ||||||
\(266\) | −0.480053 | + | 4.51975i | −0.0294339 | + | 0.277124i | ||||
\(267\) | −2.77089 | + | 10.0608i | −0.169576 | + | 0.615711i | ||||
\(268\) | 3.52083 | − | 6.09825i | 0.215069 | − | 0.372510i | ||||
\(269\) | −11.7921 | − | 20.4245i | −0.718978 | − | 1.24531i | −0.961405 | − | 0.275137i | \(-0.911277\pi\) |
0.242427 | − | 0.970170i | \(-0.422056\pi\) | |||||||
\(270\) | 0.529566 | − | 1.82338i | 0.0322283 | − | 0.110967i | ||||
\(271\) | −17.5883 | − | 10.1546i | −1.06841 | − | 0.616848i | −0.140664 | − | 0.990057i | \(-0.544924\pi\) |
−0.927747 | + | 0.373210i | \(0.878257\pi\) | |||||||
\(272\) | −8.30983 | −0.503857 | ||||||||
\(273\) | 1.67662 | − | 4.26485i | 0.101474 | − | 0.258120i | ||||
\(274\) | 8.31095 | 0.502083 | ||||||||
\(275\) | 18.6033 | + | 10.7406i | 1.12182 | + | 0.647684i | ||||
\(276\) | 2.00420 | + | 7.69332i | 0.120639 | + | 0.463083i | ||||
\(277\) | −10.2155 | − | 17.6938i | −0.613792 | − | 1.06312i | −0.990595 | − | 0.136826i | \(-0.956310\pi\) |
0.376803 | − | 0.926293i | \(-0.377023\pi\) | |||||||
\(278\) | −4.35094 | + | 7.53604i | −0.260952 | + | 0.451982i | ||||
\(279\) | −8.28952 | + | 13.9077i | −0.496280 | + | 0.832630i | ||||
\(280\) | −1.03582 | − | 2.33336i | −0.0619019 | − | 0.139445i | ||||
\(281\) | − | 5.84642i | − | 0.348768i | −0.984678 | − | 0.174384i | \(-0.944207\pi\) | ||
0.984678 | − | 0.174384i | \(-0.0557935\pi\) | |||||||
\(282\) | −10.2603 | + | 10.1186i | −0.610991 | + | 0.602554i | ||||
\(283\) | 11.2190 | − | 6.47729i | 0.666900 | − | 0.385035i | −0.128001 | − | 0.991774i | \(-0.540856\pi\) |
0.794901 | + | 0.606739i | \(0.207523\pi\) | |||||||
\(284\) | 4.65702 | − | 2.68873i | 0.276343 | − | 0.159547i | ||||
\(285\) | 0.569501 | − | 0.561638i | 0.0337344 | − | 0.0332685i | ||||
\(286\) | 5.10941i | 0.302126i | ||||||||
\(287\) | 18.7920 | + | 13.6846i | 1.10925 | + | 0.807779i | ||||
\(288\) | 5.32418 | − | 8.93260i | 0.313731 | − | 0.526358i | ||||
\(289\) | 2.01981 | − | 3.49842i | 0.118812 | − | 0.205789i | ||||
\(290\) | 0.494912 | + | 0.857213i | 0.0290622 | + | 0.0503373i | ||||
\(291\) | −3.72462 | − | 14.2973i | −0.218341 | − | 0.838124i | ||||
\(292\) | 3.08877 | + | 1.78330i | 0.180757 | + | 0.104360i | ||||
\(293\) | 0.385796 | 0.0225384 | 0.0112692 | − | 0.999937i | \(-0.496413\pi\) | ||||
0.0112692 | + | 0.999937i | \(0.496413\pi\) | |||||||
\(294\) | −0.610710 | − | 14.1227i | −0.0356173 | − | 0.823653i | ||||
\(295\) | −3.68444 | −0.214516 | ||||||||
\(296\) | −5.75446 | − | 3.32234i | −0.334471 | − | 0.193107i | ||||
\(297\) | 6.35106 | − | 21.8677i | 0.368526 | − | 1.26889i | ||||
\(298\) | −5.47970 | − | 9.49111i | −0.317430 | − | 0.549805i | ||||
\(299\) | −3.58226 | + | 6.20466i | −0.207168 | + | 0.358825i | ||||
\(300\) | 1.44427 | − | 5.24399i | 0.0833849 | − | 0.302762i | ||||
\(301\) | −0.199518 | − | 0.145292i | −0.0115000 | − | 0.00837452i | ||||
\(302\) | − | 19.9141i | − | 1.14593i | ||||||
\(303\) | −6.33261 | − | 6.42128i | −0.363799 | − | 0.368893i | ||||
\(304\) | −2.94544 | + | 1.70055i | −0.168933 | + | 0.0975332i | ||||
\(305\) | 1.85376 | − | 1.07027i | 0.106146 | − | 0.0612834i | ||||
\(306\) | 6.14378 | + | 10.9915i | 0.351216 | + | 0.628341i | ||||
\(307\) | 9.66359i | 0.551530i | 0.961225 | + | 0.275765i | \(0.0889312\pi\) | ||||
−0.961225 | + | 0.275765i | \(0.911069\pi\) | |||||||
\(308\) | −3.01385 | − | 6.78924i | −0.171730 | − | 0.386853i | ||||
\(309\) | −18.5547 | − | 5.11024i | −1.05554 | − | 0.290711i | ||||
\(310\) | −0.986039 | + | 1.70787i | −0.0560032 | + | 0.0970005i | ||||
\(311\) | 2.48159 | + | 4.29825i | 0.140718 | + | 0.243731i | 0.927767 | − | 0.373159i | \(-0.121725\pi\) |
−0.787049 | + | 0.616890i | \(0.788392\pi\) | |||||||
\(312\) | 5.16034 | − | 1.34433i | 0.292147 | − | 0.0761078i | ||||
\(313\) | −0.316395 | − | 0.182671i | −0.0178837 | − | 0.0103252i | 0.491031 | − | 0.871142i | \(-0.336620\pi\) |
−0.508915 | + | 0.860817i | \(0.669953\pi\) | |||||||
\(314\) | 1.37493 | 0.0775916 | ||||||||
\(315\) | −1.49221 | + | 1.99037i | −0.0840766 | + | 0.112145i | ||||
\(316\) | 1.56146 | 0.0878390 | ||||||||
\(317\) | 19.6115 | + | 11.3227i | 1.10149 | + | 0.635948i | 0.936613 | − | 0.350366i | \(-0.113943\pi\) |
0.164881 | + | 0.986314i | \(0.447276\pi\) | |||||||
\(318\) | 20.9646 | − | 5.46152i | 1.17563 | − | 0.306267i | ||||
\(319\) | 5.93547 | + | 10.2805i | 0.332322 | + | 0.575599i | ||||
\(320\) | 1.35674 | − | 2.34995i | 0.0758443 | − | 0.131366i | ||||
\(321\) | −13.8036 | − | 3.80170i | −0.770440 | − | 0.212190i | ||||
\(322\) | −2.33421 | + | 21.9768i | −0.130081 | + | 1.22472i | ||||
\(323\) | 5.30451i | 0.295151i | ||||||||
\(324\) | −5.76367 | − | 0.160315i | −0.320204 | − | 0.00890641i | ||||
\(325\) | 4.24506 | − | 2.45089i | 0.235474 | − | 0.135951i | ||||
\(326\) | 1.43567 | − | 0.828882i | 0.0795141 | − | 0.0459075i | ||||
\(327\) | −17.9686 | − | 18.2202i | −0.993668 | − | 1.00758i | ||||
\(328\) | 27.0513i | 1.49366i | ||||||||
\(329\) | 17.2560 | − | 7.66024i | 0.951356 | − | 0.422322i | ||||
\(330\) | 0.736472 | − | 2.67405i | 0.0405414 | − | 0.147202i | ||||
\(331\) | −7.59214 | + | 13.1500i | −0.417302 | + | 0.722788i | −0.995667 | − | 0.0929898i | \(-0.970358\pi\) |
0.578365 | + | 0.815778i | \(0.303691\pi\) | |||||||
\(332\) | 4.61449 | + | 7.99253i | 0.253253 | + | 0.438647i | ||||
\(333\) | −0.0900201 | + | 6.47406i | −0.00493307 | + | 0.354776i | ||||
\(334\) | 2.77621 | + | 1.60285i | 0.151908 | + | 0.0877039i | ||||
\(335\) | −3.44481 | −0.188210 | ||||||||
\(336\) | 8.27375 | − | 6.59041i | 0.451370 | − | 0.359537i | ||||
\(337\) | −8.98426 | −0.489404 | −0.244702 | − | 0.969598i | \(-0.578690\pi\) | ||||
−0.244702 | + | 0.969598i | \(0.578690\pi\) | |||||||
\(338\) | 1.00971 | + | 0.582955i | 0.0549208 | + | 0.0317086i | ||||
\(339\) | 3.83061 | + | 14.7042i | 0.208050 | + | 0.798621i | ||||
\(340\) | −0.361424 | − | 0.626006i | −0.0196010 | − | 0.0339499i | ||||
\(341\) | −11.8255 | + | 20.4824i | −0.640389 | + | 1.10919i | ||||
\(342\) | 4.42701 | + | 2.63868i | 0.239385 | + | 0.142683i | ||||
\(343\) | −5.78095 | + | 17.5949i | −0.312142 | + | 0.950035i | ||||
\(344\) | − | 0.287209i | − | 0.0154853i | ||||||
\(345\) | 2.76915 | − | 2.73091i | 0.149086 | − | 0.147027i | ||||
\(346\) | 6.07405 | − | 3.50685i | 0.326543 | − | 0.188530i | ||||
\(347\) | −28.1613 | + | 16.2590i | −1.51178 | + | 0.872827i | −0.511875 | + | 0.859060i | \(0.671049\pi\) |
−0.999905 | + | 0.0137668i | \(0.995618\pi\) | |||||||
\(348\) | 2.14016 | − | 2.11061i | 0.114725 | − | 0.113141i | ||||
\(349\) | 5.53422i | 0.296240i | 0.988969 | + | 0.148120i | \(0.0473222\pi\) | ||||
−0.988969 | + | 0.148120i | \(0.952678\pi\) | |||||||
\(350\) | 8.90103 | − | 12.2230i | 0.475780 | − | 0.653348i | ||||
\(351\) | −3.59681 | − | 3.75006i | −0.191984 | − | 0.200163i | ||||
\(352\) | 7.59529 | − | 13.1554i | 0.404830 | − | 0.701187i | ||||
\(353\) | 5.17793 | + | 8.96844i | 0.275594 | + | 0.477342i | 0.970285 | − | 0.241966i | \(-0.0777923\pi\) |
−0.694691 | + | 0.719308i | \(0.744459\pi\) | |||||||
\(354\) | −5.98482 | − | 22.9733i | −0.318090 | − | 1.22102i | ||||
\(355\) | −2.27823 | − | 1.31534i | −0.120916 | − | 0.0698109i | ||||
\(356\) | 3.85987 | 0.204573 | ||||||||
\(357\) | −2.44956 | − | 16.3146i | −0.129645 | − | 0.863462i | ||||
\(358\) | −9.66407 | −0.510762 | ||||||||
\(359\) | −12.1819 | − | 7.03320i | −0.642934 | − | 0.371198i | 0.142810 | − | 0.989750i | \(-0.454386\pi\) |
−0.785744 | + | 0.618552i | \(0.787720\pi\) | |||||||
\(360\) | −2.89448 | − | 0.0402470i | −0.152552 | − | 0.00212120i | ||||
\(361\) | −8.41447 | − | 14.5743i | −0.442867 | − | 0.767068i | ||||
\(362\) | −11.5517 | + | 20.0081i | −0.607144 | + | 1.05160i | ||||
\(363\) | 3.77350 | − | 13.7012i | 0.198057 | − | 0.719126i | ||||
\(364\) | −1.68553 | − | 0.179024i | −0.0883459 | − | 0.00938343i | ||||
\(365\) | − | 1.74480i | − | 0.0913270i | ||||||
\(366\) | 9.68452 | + | 9.82012i | 0.506218 | + | 0.513306i | ||||
\(367\) | 14.4496 | − | 8.34248i | 0.754263 | − | 0.435474i | −0.0729690 | − | 0.997334i | \(-0.523247\pi\) |
0.827232 | + | 0.561860i | \(0.189914\pi\) | |||||||
\(368\) | −14.3219 | + | 8.26876i | −0.746581 | + | 0.431039i | ||||
\(369\) | 23.0088 | − | 12.8610i | 1.19779 | − | 0.669515i | ||||
\(370\) | 0.788637i | 0.0409993i | ||||||||
\(371\) | −28.2249 | − | 2.99783i | −1.46536 | − | 0.155640i | ||||
\(372\) | 5.77368 | + | 1.59015i | 0.299352 | + | 0.0824457i | ||||
\(373\) | −2.42098 | + | 4.19326i | −0.125354 | + | 0.217119i | −0.921871 | − | 0.387497i | \(-0.873340\pi\) |
0.796517 | + | 0.604616i | \(0.206673\pi\) | |||||||
\(374\) | 9.19708 | + | 15.9298i | 0.475570 | + | 0.823711i | ||||
\(375\) | −5.20151 | + | 1.35506i | −0.268605 | + | 0.0699748i | ||||
\(376\) | 19.0264 | + | 10.9849i | 0.981214 | + | 0.566504i | ||||
\(377\) | 2.70881 | 0.139511 | ||||||||
\(378\) | −14.8343 | − | 6.07121i | −0.762994 | − | 0.312269i | ||||
\(379\) | 14.0908 | 0.723798 | 0.361899 | − | 0.932217i | \(-0.382128\pi\) | ||||
0.361899 | + | 0.932217i | \(0.382128\pi\) | |||||||
\(380\) | −0.256216 | − | 0.147926i | −0.0131436 | − | 0.00758845i | ||||
\(381\) | 24.7580 | − | 6.44976i | 1.26839 | − | 0.330431i | ||||
\(382\) | −11.2410 | − | 19.4700i | −0.575141 | − | 0.996173i | ||||
\(383\) | 2.91746 | − | 5.05318i | 0.149075 | − | 0.258206i | −0.781811 | − | 0.623516i | \(-0.785704\pi\) |
0.930886 | + | 0.365310i | \(0.119037\pi\) | |||||||
\(384\) | 5.27966 | + | 1.45410i | 0.269427 | + | 0.0742040i | ||||
\(385\) | −2.13916 | + | 2.93752i | −0.109022 | + | 0.149710i | ||||
\(386\) | 9.91235i | 0.504525i | ||||||||
\(387\) | −0.244289 | + | 0.136547i | −0.0124179 | + | 0.00694108i | ||||
\(388\) | −4.73268 | + | 2.73242i | −0.240266 | + | 0.138717i | ||||
\(389\) | 21.3776 | − | 12.3424i | 1.08389 | − | 0.625783i | 0.151946 | − | 0.988389i | \(-0.451446\pi\) |
0.931943 | + | 0.362605i | \(0.118113\pi\) | |||||||
\(390\) | −0.444411 | − | 0.450633i | −0.0225036 | − | 0.0228187i | ||||
\(391\) | 25.7927i | 1.30439i | ||||||||
\(392\) | −20.5111 | + | 6.61479i | −1.03597 | + | 0.334098i | ||||
\(393\) | −0.530720 | + | 1.92699i | −0.0267713 | + | 0.0972037i | ||||
\(394\) | 1.20060 | − | 2.07950i | 0.0604852 | − | 0.104763i | ||||
\(395\) | −0.381937 | − | 0.661534i | −0.0192173 | − | 0.0332854i | ||||
\(396\) | −8.42189 | − | 0.117104i | −0.423216 | − | 0.00588470i | ||||
\(397\) | −20.6217 | − | 11.9059i | −1.03497 | − | 0.597541i | −0.116567 | − | 0.993183i | \(-0.537189\pi\) |
−0.918405 | + | 0.395642i | \(0.870522\pi\) | |||||||
\(398\) | 29.6623 | 1.48684 | ||||||||
\(399\) | −4.20694 | − | 5.28148i | −0.210610 | − | 0.264405i | ||||
\(400\) | 11.3145 | 0.565726 | ||||||||
\(401\) | −32.4338 | − | 18.7257i | −1.61967 | − | 0.935115i | −0.987006 | − | 0.160685i | \(-0.948630\pi\) |
−0.632660 | − | 0.774429i | \(-0.718037\pi\) | |||||||
\(402\) | −5.59558 | − | 21.4792i | −0.279082 | − | 1.07128i | ||||
\(403\) | 2.69845 | + | 4.67385i | 0.134419 | + | 0.232821i | ||||
\(404\) | −1.66791 | + | 2.88890i | −0.0829814 | + | 0.143728i | ||||
\(405\) | 1.34189 | + | 2.48107i | 0.0666788 | + | 0.123285i | ||||
\(406\) | 7.63720 | − | 3.39028i | 0.379028 | − | 0.168257i | ||||
\(407\) | 9.45810i | 0.468820i | ||||||||
\(408\) | 13.6688 | − | 13.4800i | 0.676705 | − | 0.667361i | ||||
\(409\) | 15.6888 | − | 9.05796i | 0.775763 | − | 0.447887i | −0.0591634 | − | 0.998248i | \(-0.518843\pi\) |
0.834927 | + | 0.550361i | \(0.185510\pi\) | |||||||
\(410\) | 2.78049 | − | 1.60532i | 0.137319 | − | 0.0792810i | ||||
\(411\) | −8.79082 | + | 8.66944i | −0.433619 | + | 0.427632i | ||||
\(412\) | 7.11861i | 0.350708i | ||||||||
\(413\) | −3.28507 | + | 30.9293i | −0.161648 | + | 1.52193i | ||||
\(414\) | 21.5259 | + | 12.8303i | 1.05794 | + | 0.630575i | ||||
\(415\) | 2.25743 | − | 3.90998i | 0.110813 | − | 0.191933i | ||||
\(416\) | −1.73316 | − | 3.00192i | −0.0849751 | − | 0.147181i | ||||
\(417\) | −3.25895 | − | 12.5098i | −0.159591 | − | 0.612607i | ||||
\(418\) | 6.51986 | + | 3.76424i | 0.318897 | + | 0.184115i | ||||
\(419\) | 9.19606 | 0.449257 | 0.224628 | − | 0.974444i | \(-0.427883\pi\) | ||||
0.224628 | + | 0.974444i | \(0.427883\pi\) | |||||||
\(420\) | 0.856332 | + | 0.336647i | 0.0417847 | + | 0.0164267i | ||||
\(421\) | 29.0763 | 1.41709 | 0.708546 | − | 0.705664i | \(-0.249351\pi\) | ||||
0.708546 | + | 0.705664i | \(0.249351\pi\) | |||||||
\(422\) | −24.2606 | − | 14.0069i | −1.18099 | − | 0.681844i | ||||
\(423\) | 0.297641 | − | 21.4057i | 0.0144718 | − | 1.04078i | ||||
\(424\) | −16.5145 | − | 28.6039i | −0.802015 | − | 1.38913i | ||||
\(425\) | 8.82332 | − | 15.2824i | 0.427994 | − | 0.741307i | ||||
\(426\) | 4.50079 | − | 16.3419i | 0.218064 | − | 0.791766i | ||||
\(427\) | −7.33162 | − | 16.5158i | −0.354802 | − | 0.799254i | ||||
\(428\) | 5.29579i | 0.255982i | ||||||||
\(429\) | −5.32981 | − | 5.40443i | −0.257326 | − | 0.260928i | ||||
\(430\) | −0.0295210 | + | 0.0170440i | −0.00142363 | + | 0.000821932i | ||||
\(431\) | 3.61934 | − | 2.08963i | 0.174337 | − | 0.100654i | −0.410292 | − | 0.911954i | \(-0.634573\pi\) |
0.584630 | + | 0.811300i | \(0.301240\pi\) | |||||||
\(432\) | −2.86200 | − | 11.6476i | −0.137698 | − | 0.560393i | ||||
\(433\) | − | 12.6625i | − | 0.608521i | −0.952589 | − | 0.304261i | \(-0.901591\pi\) | ||
0.952589 | − | 0.304261i | \(-0.0984094\pi\) | |||||||
\(434\) | 13.4577 | + | 9.80012i | 0.645989 | + | 0.470421i | ||||
\(435\) | −1.41768 | − | 0.390448i | −0.0679724 | − | 0.0187206i | ||||
\(436\) | −4.73264 | + | 8.19718i | −0.226653 | + | 0.392574i | ||||
\(437\) | 5.27830 | + | 9.14228i | 0.252495 | + | 0.437334i | ||||
\(438\) | 10.8792 | − | 2.83417i | 0.519830 | − | 0.135422i | ||||
\(439\) | 30.0041 | + | 17.3229i | 1.43202 | + | 0.826777i | 0.997275 | − | 0.0737768i | \(-0.0235053\pi\) |
0.434745 | + | 0.900554i | \(0.356839\pi\) | |||||||
\(440\) | −4.22861 | −0.201591 | ||||||||
\(441\) | 15.3779 | + | 14.3011i | 0.732279 | + | 0.681005i | ||||
\(442\) | 4.19734 | 0.199647 | ||||||||
\(443\) | −0.444610 | − | 0.256696i | −0.0211241 | − | 0.0121960i | 0.489401 | − | 0.872059i | \(-0.337216\pi\) |
−0.510525 | + | 0.859863i | \(0.670549\pi\) | |||||||
\(444\) | 2.31752 | − | 0.603742i | 0.109985 | − | 0.0286523i | ||||
\(445\) | −0.944132 | − | 1.63529i | −0.0447562 | − | 0.0775200i | ||||
\(446\) | 15.9420 | − | 27.6124i | 0.754878 | − | 1.30749i | ||||
\(447\) | 15.6966 | + | 4.32307i | 0.742424 | + | 0.204474i | ||||
\(448\) | −18.5171 | − | 13.4845i | −0.874852 | − | 0.637083i | ||||
\(449\) | 12.6244i | 0.595784i | 0.954600 | + | 0.297892i | \(0.0962835\pi\) | ||||
−0.954600 | + | 0.297892i | \(0.903716\pi\) | |||||||
\(450\) | −8.36527 | − | 14.9658i | −0.394343 | − | 0.705496i | ||||
\(451\) | 33.3464 | − | 19.2525i | 1.57022 | − | 0.906566i | ||||
\(452\) | 4.86736 | − | 2.81017i | 0.228941 | − | 0.132179i | ||||
\(453\) | 20.7731 | + | 21.0640i | 0.976007 | + | 0.989672i | ||||
\(454\) | 23.8880i | 1.12112i | ||||||||
\(455\) | 0.336439 | + | 0.757889i | 0.0157725 | + | 0.0355304i | ||||
\(456\) | 2.08633 | − | 7.57525i | 0.0977015 | − | 0.354744i | ||||
\(457\) | −6.58810 | + | 11.4109i | −0.308178 | + | 0.533780i | −0.977964 | − | 0.208774i | \(-0.933053\pi\) |
0.669786 | + | 0.742554i | \(0.266386\pi\) | |||||||
\(458\) | 4.72915 | + | 8.19114i | 0.220979 | + | 0.382747i | ||||
\(459\) | −17.9641 | − | 5.21734i | −0.838493 | − | 0.243525i | ||||
\(460\) | −1.24582 | − | 0.719277i | −0.0580868 | − | 0.0335365i | ||||
\(461\) | −12.6733 | −0.590253 | −0.295127 | − | 0.955458i | \(-0.595362\pi\) | ||||
−0.295127 | + | 0.955458i | \(0.595362\pi\) | |||||||
\(462\) | −21.7909 | − | 8.56657i | −1.01380 | − | 0.398553i | ||||
\(463\) | 8.99871 | 0.418206 | 0.209103 | − | 0.977894i | \(-0.432946\pi\) | ||||
0.209103 | + | 0.977894i | \(0.432946\pi\) | |||||||
\(464\) | 5.41492 | + | 3.12631i | 0.251382 | + | 0.145135i | ||||
\(465\) | −0.738565 | − | 2.83505i | −0.0342501 | − | 0.131472i | ||||
\(466\) | 9.76372 | + | 16.9113i | 0.452296 | + | 0.783399i | ||||
\(467\) | −3.85821 | + | 6.68261i | −0.178537 | + | 0.309234i | −0.941379 | − | 0.337349i | \(-0.890470\pi\) |
0.762843 | + | 0.646584i | \(0.223803\pi\) | |||||||
\(468\) | −0.984031 | + | 1.65095i | −0.0454869 | + | 0.0763151i | ||||
\(469\) | −3.07141 | + | 28.9177i | −0.141825 | + | 1.33529i | ||||
\(470\) | − | 2.60753i | − | 0.120277i | ||||||
\(471\) | −1.45432 | + | 1.43423i | −0.0670113 | + | 0.0660860i | ||||
\(472\) | −31.3447 | + | 18.0968i | −1.44276 | + | 0.832975i | ||||
\(473\) | −0.354044 | + | 0.204408i | −0.0162790 | + | 0.00939867i | ||||
\(474\) | 3.50441 | − | 3.45603i | 0.160963 | − | 0.158741i | ||||
\(475\) | − | 7.22253i | − | 0.331393i | ||||||
\(476\) | −5.57730 | + | 2.47585i | −0.255635 | + | 0.113481i | ||||
\(477\) | −16.4780 | + | 27.6457i | −0.754474 | + | 1.26581i | ||||
\(478\) | 5.45493 | − | 9.44822i | 0.249503 | − | 0.432152i | ||||
\(479\) | −12.2043 | − | 21.1385i | −0.557630 | − | 0.965843i | −0.997694 | − | 0.0678768i | \(-0.978378\pi\) |
0.440064 | − | 0.897966i | \(-0.354956\pi\) | |||||||
\(480\) | 0.474365 | + | 1.82090i | 0.0216517 | + | 0.0831121i | ||||
\(481\) | 1.86908 | + | 1.07911i | 0.0852228 | + | 0.0492034i | ||||
\(482\) | −20.7221 | −0.943868 | ||||||||
\(483\) | −20.4558 | − | 25.6807i | −0.930772 | − | 1.16851i | ||||
\(484\) | −5.25652 | −0.238933 | ||||||||
\(485\) | 2.31525 | + | 1.33671i | 0.105130 | + | 0.0606969i | ||||
\(486\) | −13.2903 | + | 12.3971i | −0.602862 | + | 0.562343i | ||||
\(487\) | 9.61352 | + | 16.6511i | 0.435630 | + | 0.754533i | 0.997347 | − | 0.0727963i | \(-0.0231923\pi\) |
−0.561717 | + | 0.827330i | \(0.689859\pi\) | |||||||
\(488\) | 10.5137 | − | 18.2102i | 0.475932 | − | 0.824338i | ||||
\(489\) | −0.653926 | + | 2.37433i | −0.0295715 | + | 0.107371i | ||||
\(490\) | 1.89711 | + | 1.71571i | 0.0857026 | + | 0.0775078i | ||||
\(491\) | − | 39.7410i | − | 1.79349i | −0.442549 | − | 0.896744i | \(-0.645926\pi\) | ||
0.442549 | − | 0.896744i | \(-0.354074\pi\) | |||||||
\(492\) | −6.84607 | − | 6.94192i | −0.308645 | − | 0.312966i | ||||
\(493\) | 8.44536 | − | 4.87593i | 0.380360 | − | 0.219601i | ||||
\(494\) | 1.48776 | − | 0.858957i | 0.0669373 | − | 0.0386463i | ||||
\(495\) | 2.01040 | + | 3.59669i | 0.0903608 | + | 0.161659i | ||||
\(496\) | 12.4574i | 0.559354i | ||||||||
\(497\) | −13.0730 | + | 17.9520i | −0.586404 | + | 0.805258i | ||||
\(498\) | 28.0465 | + | 7.72440i | 1.25679 | + | 0.346139i | ||||
\(499\) | 3.25788 | − | 5.64282i | 0.145843 | − | 0.252607i | −0.783844 | − | 0.620958i | \(-0.786744\pi\) |
0.929687 | + | 0.368350i | \(0.120077\pi\) | |||||||
\(500\) | 0.994081 | + | 1.72180i | 0.0444566 | + | 0.0770012i | ||||
\(501\) | −4.60850 | + | 1.20057i | −0.205893 | + | 0.0536375i | ||||
\(502\) | −28.9583 | − | 16.7191i | −1.29247 | − | 0.746208i | ||||
\(503\) | −5.31561 | −0.237011 | −0.118506 | − | 0.992953i | \(-0.537810\pi\) | ||||
−0.118506 | + | 0.992953i | \(0.537810\pi\) | |||||||
\(504\) | −2.91859 | + | 24.2620i | −0.130005 | + | 1.08072i | ||||
\(505\) | 1.63189 | 0.0726183 | ||||||||
\(506\) | 31.7022 | + | 18.3033i | 1.40933 | + | 0.813679i | ||||
\(507\) | −1.67611 | + | 0.436646i | −0.0744386 | + | 0.0193921i | ||||
\(508\) | −4.73160 | − | 8.19537i | −0.209931 | − | 0.363611i | ||||
\(509\) | 15.2177 | − | 26.3578i | 0.674513 | − | 1.16829i | −0.302099 | − | 0.953277i | \(-0.597687\pi\) |
0.976611 | − | 0.215013i | \(-0.0689795\pi\) | |||||||
\(510\) | −2.19671 | − | 0.605005i | −0.0972719 | − | 0.0267901i | ||||
\(511\) | −14.6468 | − | 1.55568i | −0.647938 | − | 0.0688190i | ||||
\(512\) | − | 22.2143i | − | 0.981741i | ||||||
\(513\) | −7.43512 | + | 1.82694i | −0.328269 | + | 0.0806612i | ||||
\(514\) | −14.5149 | + | 8.38020i | −0.640226 | + | 0.369635i | ||||
\(515\) | 3.01589 | − | 1.74123i | 0.132896 | − | 0.0767276i | ||||
\(516\) | 0.0726860 | + | 0.0737037i | 0.00319982 | + | 0.00324462i | ||||
\(517\) | − | 31.2721i | − | 1.37534i | ||||||
\(518\) | 6.62027 | + | 0.703154i | 0.290878 | + | 0.0308948i | ||||
\(519\) | −2.76664 | + | 10.0454i | −0.121442 | + | 0.440944i | ||||
\(520\) | −0.482460 | + | 0.835645i | −0.0211573 | + | 0.0366454i | ||||
\(521\) | 1.44066 | + | 2.49529i | 0.0631163 | + | 0.109321i | 0.895857 | − | 0.444343i | \(-0.146563\pi\) |
−0.832741 | + | 0.553663i | \(0.813229\pi\) | |||||||
\(522\) | 0.131730 | − | 9.47377i | 0.00576567 | − | 0.414656i | ||||
\(523\) | −6.22337 | − | 3.59306i | −0.272129 | − | 0.157114i | 0.357726 | − | 0.933827i | \(-0.383552\pi\) |
−0.629855 | + | 0.776713i | \(0.716886\pi\) | |||||||
\(524\) | 0.739297 | 0.0322963 | ||||||||
\(525\) | 3.33529 | + | 22.2138i | 0.145564 | + | 0.969488i | ||||
\(526\) | −26.8105 | −1.16899 | ||||||||
\(527\) | 16.8261 | + | 9.71457i | 0.732957 | + | 0.423173i | ||||
\(528\) | −4.41691 | − | 16.9548i | −0.192222 | − | 0.737861i | ||||
\(529\) | 14.1652 | + | 24.5348i | 0.615878 | + | 1.06673i | ||||
\(530\) | −1.96005 | + | 3.39491i | −0.0851393 | + | 0.147466i | ||||
\(531\) | 30.2946 | + | 18.0568i | 1.31468 | + | 0.783599i | ||||
\(532\) | −1.47022 | + | 2.01893i | −0.0637422 | + | 0.0875317i | ||||
\(533\) | − | 8.78641i | − | 0.380582i | ||||||
\(534\) | 8.66278 | − | 8.54316i | 0.374875 | − | 0.369699i | ||||
\(535\) | 2.24363 | − | 1.29536i | 0.0970008 | − | 0.0560034i | ||||
\(536\) | −29.3061 | + | 16.9199i | −1.26583 | + | 0.730827i | ||||
\(537\) | 10.2221 | − | 10.0809i | 0.441115 | − | 0.435024i | ||||
\(538\) | 27.4971i | 1.18548i | ||||||||
\(539\) | 22.7520 | + | 20.5764i | 0.979996 | + | 0.886289i | ||||
\(540\) | 0.752969 | − | 0.722198i | 0.0324026 | − | 0.0310785i | ||||
\(541\) | −13.2598 | + | 22.9667i | −0.570085 | + | 0.987417i | 0.426471 | + | 0.904501i | \(0.359756\pi\) |
−0.996557 | + | 0.0829155i | \(0.973577\pi\) | |||||||
\(542\) | 11.8393 | + | 20.5063i | 0.508543 | + | 0.880822i | ||||
\(543\) | −8.65249 | − | 33.2134i | −0.371314 | − | 1.42532i | ||||
\(544\) | −10.8071 | − | 6.23946i | −0.463349 | − | 0.267515i | ||||
\(545\) | 4.63046 | 0.198347 | ||||||||
\(546\) | −4.17911 | + | 3.32885i | −0.178850 | + | 0.142462i | ||||
\(547\) | 35.1018 | 1.50085 | 0.750423 | − | 0.660958i | \(-0.229850\pi\) | ||||
0.750423 | + | 0.660958i | \(0.229850\pi\) | |||||||
\(548\) | 3.95495 | + | 2.28339i | 0.168947 | + | 0.0975415i | ||||
\(549\) | −20.4874 | − | 0.284872i | −0.874382 | − | 0.0121580i | ||||
\(550\) | −12.5226 | − | 21.6898i | −0.533965 | − | 0.924855i | ||||
\(551\) | 1.99565 | − | 3.45657i | 0.0850177 | − | 0.147255i | ||||
\(552\) | 10.1446 | − | 36.8339i | 0.431782 | − | 1.56776i | ||||
\(553\) | −5.89383 | + | 2.61637i | −0.250631 | + | 0.111259i | ||||
\(554\) | 23.8208i | 1.01205i | ||||||||
\(555\) | −0.822654 | − | 0.834173i | −0.0349197 | − | 0.0354087i | ||||
\(556\) | −4.14098 | + | 2.39079i | −0.175616 | + | 0.101392i | ||||
\(557\) | 34.9076 | − | 20.1539i | 1.47908 | − | 0.853949i | 0.479363 | − | 0.877617i | \(-0.340868\pi\) |
0.999720 | + | 0.0236683i | \(0.00753456\pi\) | |||||||
\(558\) | 16.4775 | − | 9.21025i | 0.697549 | − | 0.389901i | ||||
\(559\) | 0.0932870i | 0.00394562i | ||||||||
\(560\) | −0.202156 | + | 1.90332i | −0.00854263 | + | 0.0804298i | ||||
\(561\) | −26.3451 | − | 7.25580i | −1.11229 | − | 0.306340i | ||||
\(562\) | −3.40820 | + | 5.90318i | −0.143766 | + | 0.249011i | ||||
\(563\) | 3.30993 | + | 5.73296i | 0.139497 | + | 0.241616i | 0.927306 | − | 0.374303i | \(-0.122118\pi\) |
−0.787809 | + | 0.615919i | \(0.788785\pi\) | |||||||
\(564\) | −7.66261 | + | 1.99620i | −0.322654 | + | 0.0840552i | ||||
\(565\) | −2.38113 | − | 1.37475i | −0.100175 | − | 0.0578361i | ||||
\(566\) | −15.1039 | −0.634863 | ||||||||
\(567\) | 22.0239 | − | 9.05242i | 0.924918 | − | 0.380166i | ||||
\(568\) | −25.8422 | −1.08431 | ||||||||
\(569\) | −5.30174 | − | 3.06096i | −0.222261 | − | 0.128322i | 0.384736 | − | 0.923027i | \(-0.374293\pi\) |
−0.606997 | + | 0.794704i | \(0.707626\pi\) | |||||||
\(570\) | −0.902439 | + | 0.235096i | −0.0377990 | + | 0.00984709i | ||||
\(571\) | 14.4677 | + | 25.0587i | 0.605453 | + | 1.04867i | 0.991980 | + | 0.126397i | \(0.0403412\pi\) |
−0.386527 | + | 0.922278i | \(0.626325\pi\) | |||||||
\(572\) | −1.40378 | + | 2.43143i | −0.0586952 | + | 0.101663i | ||||
\(573\) | 32.2000 | + | 8.86833i | 1.34517 | + | 0.370480i | ||||
\(574\) | −10.9968 | − | 24.7724i | −0.459000 | − | 1.03398i | ||||
\(575\) | − | 35.1189i | − | 1.46456i | ||||||
\(576\) | −22.6723 | + | 12.6729i | −0.944680 | + | 0.528036i | ||||
\(577\) | −9.95700 | + | 5.74868i | −0.414515 | + | 0.239321i | −0.692728 | − | 0.721199i | \(-0.743591\pi\) |
0.278213 | + | 0.960520i | \(0.410258\pi\) | |||||||
\(578\) | −4.07884 | + | 2.35492i | −0.169657 | + | 0.0979516i | ||||
\(579\) | −10.3399 | − | 10.4847i | −0.429712 | − | 0.435729i | ||||
\(580\) | 0.543898i | 0.0225841i | ||||||||
\(581\) | −30.8099 | − | 22.4363i | −1.27821 | − | 0.930815i | ||||
\(582\) | −4.57391 | + | 16.6074i | −0.189595 | + | 0.688399i | ||||
\(583\) | −23.5069 | + | 40.7151i | −0.973555 | + | 1.68625i | ||||
\(584\) | −8.56993 | − | 14.8436i | −0.354626 | − | 0.614231i | ||||
\(585\) | 0.940143 | + | 0.0130724i | 0.0388701 | + | 0.000540479i | ||||
\(586\) | −0.389541 | − | 0.224902i | −0.0160918 | − | 0.00929060i | ||||
\(587\) | −27.8836 | −1.15088 | −0.575440 | − | 0.817844i | \(-0.695169\pi\) | ||||
−0.575440 | + | 0.817844i | \(0.695169\pi\) | |||||||
\(588\) | 3.58952 | − | 6.88839i | 0.148029 | − | 0.284072i | ||||
\(589\) | 7.95208 | 0.327660 | ||||||||
\(590\) | 3.72020 | + | 2.14786i | 0.153158 | + | 0.0884260i | ||||
\(591\) | 0.899275 | + | 3.45195i | 0.0369912 | + | 0.141994i | ||||
\(592\) | 2.49087 | + | 4.31431i | 0.102374 | + | 0.177317i | ||||
\(593\) | −3.09759 | + | 5.36518i | −0.127203 | + | 0.220322i | −0.922592 | − | 0.385778i | \(-0.873933\pi\) |
0.795389 | + | 0.606099i | \(0.207267\pi\) | |||||||
\(594\) | −19.1606 | + | 18.3776i | −0.786169 | + | 0.754042i | ||||
\(595\) | 2.41315 | + | 1.75730i | 0.0989294 | + | 0.0720422i | ||||
\(596\) | − | 6.02207i | − | 0.246674i | ||||||
\(597\) | −31.3750 | + | 30.9418i | −1.28409 | + | 1.26636i | ||||
\(598\) | 7.23407 | − | 4.17659i | 0.295823 | − | 0.170794i | ||||
\(599\) | 4.45091 | − | 2.56973i | 0.181859 | − | 0.104996i | −0.406307 | − | 0.913737i | \(-0.633184\pi\) |
0.588166 | + | 0.808740i | \(0.299850\pi\) | |||||||
\(600\) | −18.6112 | + | 18.3542i | −0.759798 | + | 0.749306i | ||||
\(601\) | − | 15.5050i | − | 0.632462i | −0.948682 | − | 0.316231i | \(-0.897582\pi\) | ||
0.948682 | − | 0.316231i | \(-0.102418\pi\) | |||||||
\(602\) | 0.116756 | + | 0.263013i | 0.00475860 | + | 0.0107196i | ||||
\(603\) | 28.3243 | + | 16.8824i | 1.15346 | + | 0.687506i | ||||
\(604\) | 5.47130 | − | 9.47658i | 0.222624 | − | 0.385596i | ||||
\(605\) | 1.28576 | + | 2.22699i | 0.0522734 | + | 0.0905402i | ||||
\(606\) | 2.65077 | + | 10.1752i | 0.107680 | + | 0.413341i | ||||
\(607\) | −13.1742 | − | 7.60612i | −0.534724 | − | 0.308723i | 0.208214 | − | 0.978083i | \(-0.433235\pi\) |
−0.742938 | + | 0.669360i | \(0.766568\pi\) | |||||||
\(608\) | −5.10746 | −0.207135 | ||||||||
\(609\) | −4.54166 | + | 11.5527i | −0.184037 | + | 0.468138i | ||||
\(610\) | −2.49567 | −0.101047 | ||||||||
\(611\) | −6.17989 | − | 3.56796i | −0.250012 | − | 0.144344i | ||||
\(612\) | −0.0962000 | + | 6.91851i | −0.00388865 | + | 0.279664i | ||||
\(613\) | 2.10189 | + | 3.64057i | 0.0848944 | + | 0.147041i | 0.905346 | − | 0.424674i | \(-0.139611\pi\) |
−0.820452 | + | 0.571716i | \(0.806278\pi\) | |||||||
\(614\) | 5.63343 | − | 9.75740i | 0.227347 | − | 0.393776i | ||||
\(615\) | −1.26648 | + | 4.59844i | −0.0510692 | + | 0.185427i | ||||
\(616\) | −3.77026 | + | 35.4973i | −0.151908 | + | 1.43023i | ||||
\(617\) | 38.2386i | 1.53943i | 0.638389 | + | 0.769714i | \(0.279601\pi\) | ||||
−0.638389 | + | 0.769714i | \(0.720399\pi\) | |||||||
\(618\) | 15.7558 | + | 15.9764i | 0.633792 | + | 0.642666i | ||||
\(619\) | −11.9160 | + | 6.87970i | −0.478944 | + | 0.276519i | −0.719976 | − | 0.693999i | \(-0.755847\pi\) |
0.241032 | + | 0.970517i | \(0.422514\pi\) | |||||||
\(620\) | −0.938456 | + | 0.541818i | −0.0376893 | + | 0.0217599i | ||||
\(621\) | −36.1526 | + | 8.88330i | −1.45075 | + | 0.356475i | ||||
\(622\) | − | 5.78663i | − | 0.232023i | ||||||
\(623\) | −14.5693 | + | 6.46755i | −0.583707 | + | 0.259117i | ||||
\(624\) | −3.85449 | − | 1.06158i | −0.154303 | − | 0.0424973i | ||||
\(625\) | −11.7681 | + | 20.3830i | −0.470725 | + | 0.815320i | ||||
\(626\) | 0.212978 | + | 0.368888i | 0.00851230 | + | 0.0147437i | ||||
\(627\) | −10.8229 | + | 2.81950i | −0.432226 | + | 0.112600i | ||||
\(628\) | 0.654289 | + | 0.377754i | 0.0261090 | + | 0.0150740i | ||||
\(629\) | 7.76974 | 0.309800 | ||||||||
\(630\) | 2.66699 | − | 1.13980i | 0.106256 | − | 0.0454108i | ||||
\(631\) | 12.6357 | 0.503018 | 0.251509 | − | 0.967855i | \(-0.419073\pi\) | ||||
0.251509 | + | 0.967855i | \(0.419073\pi\) | |||||||
\(632\) | −6.49851 | − | 3.75192i | −0.258497 | − | 0.149243i | ||||
\(633\) | 40.2725 | − | 10.4915i | 1.60069 | − | 0.416998i | ||||
\(634\) | −13.2013 | − | 22.8653i | −0.524290 | − | 0.908096i | ||||
\(635\) | −2.31472 | + | 4.00921i | −0.0918568 | + | 0.159101i | ||||
\(636\) | 11.4770 | + | 3.16092i | 0.455091 | + | 0.125339i | ||||
\(637\) | 6.66212 | − | 2.14852i | 0.263963 | − | 0.0851276i | ||||
\(638\) | − | 13.8404i | − | 0.547948i | ||||||
\(639\) | 12.2861 | + | 21.9804i | 0.486031 | + | 0.869531i | ||||
\(640\) | −0.858158 | + | 0.495458i | −0.0339217 | + | 0.0195847i | ||||
\(641\) | −22.0064 | + | 12.7054i | −0.869200 | + | 0.501833i | −0.867082 | − | 0.498165i | \(-0.834007\pi\) |
−0.00211773 | + | 0.999998i | \(0.500674\pi\) | |||||||
\(642\) | 11.7213 | + | 11.8855i | 0.462604 | + | 0.469081i | ||||
\(643\) | − | 9.47369i | − | 0.373606i | −0.982397 | − | 0.186803i | \(-0.940187\pi\) | ||
0.982397 | − | 0.186803i | \(-0.0598126\pi\) | |||||||
\(644\) | −7.14881 | + | 9.81685i | −0.281702 | + | 0.386838i | ||||
\(645\) | 0.0134464 | − | 0.0488225i | 0.000529452 | − | 0.00192238i | ||||
\(646\) | 3.09229 | − | 5.35600i | 0.121664 | − | 0.210729i | ||||
\(647\) | 4.60156 | + | 7.97014i | 0.180906 | + | 0.313338i | 0.942189 | − | 0.335081i | \(-0.108764\pi\) |
−0.761283 | + | 0.648419i | \(0.775430\pi\) | |||||||
\(648\) | 23.6021 | + | 14.5163i | 0.927178 | + | 0.570254i | ||||
\(649\) | 44.6163 | + | 25.7592i | 1.75134 | + | 1.01114i | ||||
\(650\) | −5.71502 | −0.224162 | ||||||||
\(651\) | −24.4576 | + | 3.67218i | −0.958568 | + | 0.143924i | ||||
\(652\) | 0.910923 | 0.0356745 | ||||||||
\(653\) | 8.12600 | + | 4.69155i | 0.317995 | + | 0.183595i | 0.650499 | − | 0.759507i | \(-0.274560\pi\) |
−0.332503 | + | 0.943102i | \(0.607893\pi\) | |||||||
\(654\) | 7.52150 | + | 28.8720i | 0.294114 | + | 1.12898i | ||||
\(655\) | −0.180834 | − | 0.313213i | −0.00706576 | − | 0.0122383i | ||||
\(656\) | 10.1406 | − | 17.5641i | 0.395925 | − | 0.685762i | ||||
\(657\) | −8.55098 | + | 14.3463i | −0.333605 | + | 0.559703i | ||||
\(658\) | −21.8891 | − | 2.32489i | −0.853327 | − | 0.0906338i | ||||
\(659\) | − | 45.8744i | − | 1.78701i | −0.449052 | − | 0.893506i | \(-0.648238\pi\) | ||
0.449052 | − | 0.893506i | \(-0.351762\pi\) | |||||||
\(660\) | 1.08515 | − | 1.07016i | 0.0422393 | − | 0.0416561i | ||||
\(661\) | 11.2386 | − | 6.48858i | 0.437129 | − | 0.252377i | −0.265250 | − | 0.964180i | \(-0.585454\pi\) |
0.702379 | + | 0.711803i | \(0.252121\pi\) | |||||||
\(662\) | 15.3317 | − | 8.85175i | 0.595883 | − | 0.344033i | ||||
\(663\) | −4.43969 | + | 4.37839i | −0.172423 | + | 0.170042i | ||||
\(664\) | − | 44.3513i | − | 1.72116i | ||||||
\(665\) | 1.21497 | + | 0.129044i | 0.0471143 | + | 0.00500413i | ||||
\(666\) | 3.86498 | − | 6.48443i | 0.149765 | − | 0.251267i | ||||
\(667\) | 9.70367 | − | 16.8072i | 0.375728 | − | 0.650779i | ||||
\(668\) | 0.880748 | + | 1.52550i | 0.0340772 | + | 0.0590234i | ||||
\(669\) | 11.9410 | + | 45.8365i | 0.461664 | + | 1.77214i | ||||
\(670\) | 3.47825 | + | 2.00817i | 0.134376 | + | 0.0775822i | ||||
\(671\) | −29.9305 | −1.15545 | ||||||||
\(672\) | 15.7086 | − | 2.35857i | 0.605972 | − | 0.0909837i | ||||
\(673\) | −24.6608 | −0.950604 | −0.475302 | − | 0.879823i | \(-0.657661\pi\) | ||||
−0.475302 | + | 0.879823i | \(0.657661\pi\) | |||||||
\(674\) | 9.07147 | + | 5.23741i | 0.349420 | + | 0.201738i | ||||
\(675\) | 24.4597 | + | 7.10385i | 0.941453 | + | 0.273427i | ||||
\(676\) | 0.320327 | + | 0.554823i | 0.0123203 | + | 0.0213394i | ||||
\(677\) | 2.56926 | − | 4.45009i | 0.0987447 | − | 0.171031i | −0.812421 | − | 0.583072i | \(-0.801851\pi\) |
0.911165 | + | 0.412041i | \(0.135184\pi\) | |||||||
\(678\) | 4.70407 | − | 17.0800i | 0.180659 | − | 0.655953i | ||||
\(679\) | 13.2854 | − | 18.2437i | 0.509847 | − | 0.700129i | ||||
\(680\) | 3.47376i | 0.133213i | ||||||||
\(681\) | −24.9184 | − | 25.2673i | −0.954874 | − | 0.968244i | ||||
\(682\) | 23.8807 | − | 13.7875i | 0.914438 | − | 0.527951i | ||||
\(683\) | 22.3794 | − | 12.9208i | 0.856325 | − | 0.494399i | −0.00645490 | − | 0.999979i | \(-0.502055\pi\) |
0.862780 | + | 0.505580i | \(0.168721\pi\) | |||||||
\(684\) | 1.38173 | + | 2.47197i | 0.0528317 | + | 0.0945181i | ||||
\(685\) | − | 2.23409i | − | 0.0853601i | ||||||
\(686\) | 16.0941 | − | 14.3957i | 0.614476 | − | 0.549629i | ||||
\(687\) | −13.5467 | − | 3.73095i | −0.516838 | − | 0.142345i | ||||
\(688\) | −0.107665 | + | 0.186481i | −0.00410469 | + | 0.00710952i | ||||
\(689\) | 5.36400 | + | 9.29072i | 0.204352 | + | 0.353948i | ||||
\(690\) | −4.38802 | + | 1.14313i | −0.167049 | + | 0.0435183i | ||||
\(691\) | 17.8058 | + | 10.2802i | 0.677365 | + | 0.391077i | 0.798861 | − | 0.601515i | \(-0.205436\pi\) |
−0.121497 | + | 0.992592i | \(0.538769\pi\) | |||||||
\(692\) | 3.85396 | 0.146505 | ||||||||
\(693\) | 31.9852 | − | 13.6696i | 1.21502 | − | 0.519266i | ||||
\(694\) | 37.9130 | 1.43916 | ||||||||
\(695\) | 2.02578 | + | 1.16959i | 0.0768424 | + | 0.0443650i | ||||
\(696\) | −13.9784 | + | 3.64154i | −0.529850 | + | 0.138032i | ||||
\(697\) | −15.8158 | − | 27.3937i | −0.599065 | − | 1.03761i | ||||
\(698\) | 3.22620 | − | 5.58794i | 0.122113 | − | 0.211507i | ||||
\(699\) | −27.9682 | − | 7.70284i | −1.05785 | − | 0.291348i | ||||
\(700\) | 7.59396 | − | 3.37108i | 0.287025 | − | 0.127415i | ||||
\(701\) | 8.86469i | 0.334815i | 0.985888 | + | 0.167407i | \(0.0535395\pi\) | ||||
−0.985888 | + | 0.167407i | \(0.946460\pi\) | |||||||
\(702\) | 1.44561 | + | 5.88324i | 0.0545611 | + | 0.222049i | ||||
\(703\) | 2.75400 | − | 1.59002i | 0.103869 | − | 0.0599689i | ||||
\(704\) | −32.8587 | + | 18.9710i | −1.23841 | + | 0.714995i | ||||
\(705\) | 2.72001 | + | 2.75809i | 0.102441 | + | 0.103876i | ||||
\(706\) | − | 12.0740i | − | 0.454411i | ||||||
\(707\) | 1.45501 | − | 13.6991i | 0.0547212 | − | 0.515206i | ||||
\(708\) | 3.46379 | − | 12.5766i | 0.130177 | − | 0.472659i | ||||
\(709\) | 12.6055 | − | 21.8334i | 0.473410 | − | 0.819970i | −0.526127 | − | 0.850406i | \(-0.676356\pi\) |
0.999537 | + | 0.0304361i | \(0.00968962\pi\) | |||||||
\(710\) | 1.53357 | + | 2.65621i | 0.0575537 | + | 0.0996859i | ||||
\(711\) | −0.101660 | + | 7.31116i | −0.00381253 | + | 0.274190i | ||||
\(712\) | −16.0641 | − | 9.27459i | −0.602026 | − | 0.347580i | ||||
\(713\) | 38.6662 | 1.44806 | ||||||||
\(714\) | −7.03736 | + | 17.9010i | −0.263366 | + | 0.669928i | ||||
\(715\) | 1.37347 | 0.0513650 | ||||||||
\(716\) | −4.59886 | − | 2.65515i | −0.171867 | − | 0.0992277i | ||||
\(717\) | 4.08587 | + | 15.6840i | 0.152590 | + | 0.585730i | ||||
\(718\) | 8.20008 | + | 14.2030i | 0.306024 | + | 0.530050i | ||||
\(719\) | −16.8123 | + | 29.1197i | −0.626991 | + | 1.08598i | 0.361161 | + | 0.932503i | \(0.382380\pi\) |
−0.988152 | + | 0.153477i | \(0.950953\pi\) | |||||||
\(720\) | 1.86426 | + | 1.11117i | 0.0694770 | + | 0.0414110i | ||||
\(721\) | −11.9279 | − | 26.8696i | −0.444217 | − | 1.00068i | ||||
\(722\) | 19.6210i | 0.730219i | ||||||||
\(723\) | 21.9186 | − | 21.6160i | 0.815163 | − | 0.803907i | ||||
\(724\) | −10.9943 | + | 6.34754i | −0.408599 | + | 0.235905i | ||||
\(725\) | −11.4991 | + | 6.63899i | −0.427064 | + | 0.246566i | ||||
\(726\) | −11.7973 | + | 11.6344i | −0.437839 | + | 0.431793i | ||||
\(727\) | 20.8434i | 0.773041i | 0.922281 | + | 0.386520i | \(0.126323\pi\) | ||||
−0.922281 | + | 0.386520i | \(0.873677\pi\) | |||||||
\(728\) | 6.58472 | + | 4.79511i | 0.244046 | + | 0.177719i | ||||
\(729\) | 1.12588 | − | 26.9765i | 0.0416994 | − | 0.999130i | ||||
\(730\) | −1.01714 | + | 1.76174i | −0.0376460 | + | 0.0652048i | ||||
\(731\) | 0.167919 | + | 0.290844i | 0.00621071 | + | 0.0107573i | ||||
\(732\) | 1.91056 | + | 7.33389i | 0.0706165 | + | 0.271068i | ||||
\(733\) | 13.6131 | + | 7.85954i | 0.502812 | + | 0.290299i | 0.729874 | − | 0.683582i | \(-0.239579\pi\) |
−0.227062 | + | 0.973880i | \(0.572912\pi\) | |||||||
\(734\) | −19.4532 | −0.718029 | ||||||||
\(735\) | −3.79636 | + | 0.164166i | −0.140031 | + | 0.00605537i | ||||
\(736\) | −24.8345 | −0.915412 | ||||||||
\(737\) | 41.7145 | + | 24.0839i | 1.53657 | + | 0.887141i | ||||
\(738\) | −30.7295 | − | 0.427286i | −1.13117 | − | 0.0157286i | ||||
\(739\) | −10.6249 | − | 18.4029i | −0.390844 | − | 0.676961i | 0.601717 | − | 0.798709i | \(-0.294483\pi\) |
−0.992561 | + | 0.121748i | \(0.961150\pi\) | |||||||
\(740\) | −0.216674 | + | 0.375290i | −0.00796509 | + | 0.0137959i | ||||
\(741\) | −0.677652 | + | 2.46048i | −0.0248942 | + | 0.0903881i | ||||
\(742\) | 26.7512 | + | 19.4807i | 0.982069 | + | 0.715161i | ||||
\(743\) | 18.1749i | 0.666772i | 0.942790 | + | 0.333386i | \(0.108191\pi\) | ||||
−0.942790 | + | 0.333386i | \(0.891809\pi\) | |||||||
\(744\) | −20.2081 | − | 20.4911i | −0.740867 | − | 0.751240i | ||||
\(745\) | −2.55133 | + | 1.47301i | −0.0934735 | + | 0.0539670i | ||||
\(746\) | 4.88897 | − | 2.82265i | 0.178998 | − | 0.103344i | ||||
\(747\) | −37.7235 | + | 21.0859i | −1.38023 | + | 0.771491i | ||||
\(748\) | 10.1074i | 0.369563i | ||||||||
\(749\) | −8.87358 | − | 19.9893i | −0.324233 | − | 0.730393i | ||||
\(750\) | 6.04194 | + | 1.66404i | 0.220621 | + | 0.0607620i | ||||
\(751\) | 20.6232 | − | 35.7204i | 0.752551 | − | 1.30346i | −0.194032 | − | 0.980995i | \(-0.562157\pi\) |
0.946583 | − | 0.322461i | \(-0.104510\pi\) | |||||||
\(752\) | −8.23576 | − | 14.2647i | −0.300327 | − | 0.520182i | ||||
\(753\) | 48.0705 | − | 12.5229i | 1.75179 | − | 0.456362i | ||||
\(754\) | −2.73511 | − | 1.57911i | −0.0996067 | − | 0.0575079i | ||||
\(755\) | −5.35317 | −0.194822 | ||||||||
\(756\) | −5.39119 | − | 6.96477i | −0.196076 | − | 0.253306i | ||||
\(757\) | 0.0326836 | 0.00118790 | 0.000593952 | − | 1.00000i | \(-0.499811\pi\) | ||||
0.000593952 | 1.00000i | \(0.499811\pi\) | ||||||||
\(758\) | −14.2276 | − | 8.21433i | −0.516771 | − | 0.298358i | ||||
\(759\) | −52.6254 | + | 13.7095i | −1.91018 | + | 0.497625i | ||||
\(760\) | 0.710882 | + | 1.23128i | 0.0257864 | + | 0.0446633i | ||||
\(761\) | −14.9592 | + | 25.9101i | −0.542272 | + | 0.939242i | 0.456502 | + | 0.889723i | \(0.349102\pi\) |
−0.998773 | + | 0.0495194i | \(0.984231\pi\) | |||||||
\(762\) | −28.7583 | − | 7.92043i | −1.04180 | − | 0.286927i | ||||
\(763\) | 4.12855 | − | 38.8707i | 0.149464 | − | 1.40721i | ||||
\(764\) | − | 12.3537i | − | 0.446939i | ||||||
\(765\) | 2.95465 | − | 1.65153i | 0.106826 | − | 0.0597110i | ||||
\(766\) | −5.89155 | + | 3.40149i | −0.212870 | + | 0.122901i | ||||
\(767\) | 10.1809 | − | 5.87796i | 0.367612 | − | 0.212241i | ||||
\(768\) | 16.5763 | + | 16.8084i | 0.598145 | + | 0.606520i | ||||
\(769\) | − | 16.4361i | − | 0.592701i | −0.955079 | − | 0.296350i | \(-0.904230\pi\) | ||
0.955079 | − | 0.296350i | \(-0.0957696\pi\) | |||||||
\(770\) | 3.87237 | − | 1.71901i | 0.139550 | − | 0.0619487i | ||||
\(771\) | 6.61135 | − | 24.0051i | 0.238102 | − | 0.864523i | ||||
\(772\) | −2.72337 | + | 4.71701i | −0.0980161 | + | 0.169769i | ||||
\(773\) | −10.1274 | − | 17.5411i | −0.364256 | − | 0.630910i | 0.624401 | − | 0.781104i | \(-0.285343\pi\) |
−0.988656 | + | 0.150195i | \(0.952010\pi\) | |||||||
\(774\) | 0.326261 | + | 0.00453657i | 0.0117272 | + | 0.000163064i | ||||
\(775\) | −22.9102 | − | 13.2272i | −0.822958 | − | 0.475135i | ||||
\(776\) | 26.2621 | 0.942753 | ||||||||
\(777\) | −7.73601 | + | 6.16208i | −0.277528 | + | 0.221063i | ||||
\(778\) | −28.7802 | −1.03182 | ||||||||
\(779\) | −11.2119 | − | 6.47319i | −0.401707 | − | 0.231926i | ||||
\(780\) | −0.0876735 | − | 0.336543i | −0.00313922 | − | 0.0120502i | ||||
\(781\) | 18.3920 | + | 31.8559i | 0.658118 | + | 1.13989i | ||||
\(782\) | 15.0360 | − | 26.0430i | 0.537685 | − | 0.931297i | ||||
\(783\) | 9.74308 | + | 10.1582i | 0.348189 | + | 0.363024i | ||||
\(784\) | 15.7973 | + | 3.39402i | 0.564188 | + | 0.121215i | ||||
\(785\) | − | 0.369598i | − | 0.0131915i | ||||||
\(786\) | 1.65922 | − | 1.63631i | 0.0591824 | − | 0.0583652i | ||||
\(787\) | 39.7428 | − | 22.9455i | 1.41668 | − | 0.817919i | 0.420672 | − | 0.907213i | \(-0.361794\pi\) |
0.996005 | + | 0.0892939i | \(0.0284610\pi\) | |||||||
\(788\) | 1.14266 | − | 0.659716i | 0.0407056 | − | 0.0235014i | ||||
\(789\) | 28.3586 | − | 27.9670i | 1.00959 | − | 0.995651i | ||||
\(790\) | 0.890607i | 0.0316864i | ||||||||
\(791\) | −13.6635 | + | 18.7629i | −0.485816 | + | 0.667130i | ||||
\(792\) | 34.7690 | + | 20.7237i | 1.23546 | + | 0.736385i | ||||
\(793\) | −3.41490 | + | 5.91478i | −0.121267 | + | 0.210040i | ||||
\(794\) | 13.8812 | + | 24.0430i | 0.492627 | + | 0.853254i | ||||
\(795\) | −1.46812 | − | 5.63554i | −0.0520690 | − | 0.199872i | ||||
\(796\) | 14.1154 | + | 8.14956i | 0.500309 | + | 0.288853i | ||||
\(797\) | −45.2786 | −1.60385 | −0.801925 | − | 0.597424i | \(-0.796191\pi\) | ||||
−0.801925 | + | 0.597424i | \(0.796191\pi\) | |||||||
\(798\) | 1.16891 | + | 7.78520i | 0.0413790 | + | 0.275593i | ||||
\(799\) | −25.6897 | −0.908837 | ||||||||
\(800\) | 14.7147 | + | 8.49555i | 0.520244 | + | 0.300363i | ||||
\(801\) | −0.251299 | + | 18.0729i | −0.00887920 | + | 0.638574i | ||||
\(802\) | 21.8324 | + | 37.8149i | 0.770930 | + | 1.33529i | ||||
\(803\) | −12.1985 | + | 21.1285i | −0.430476 | + | 0.745607i | ||||
\(804\) | 3.23851 | − | 11.7587i | 0.114213 | − | 0.414697i | ||||
\(805\) | 5.90765 | + | 0.627466i | 0.208217 | + | 0.0221153i | ||||
\(806\) | − | 6.29230i | − | 0.221637i | ||||||
\(807\) | −28.6832 | − | 29.0848i | −1.00970 | − | 1.02383i | ||||
\(808\) | 13.8830 | − | 8.01538i | 0.488404 | − | 0.281980i | ||||
\(809\) | 1.37425 | − | 0.793423i | 0.0483160 | − | 0.0278953i | −0.475647 | − | 0.879636i | \(-0.657786\pi\) |
0.523963 | + | 0.851741i | \(0.324453\pi\) | |||||||
\(810\) | 0.0914388 | − | 3.28741i | 0.00321283 | − | 0.115508i | ||||
\(811\) | − | 45.2802i | − | 1.59000i | −0.606608 | − | 0.795001i | \(-0.707470\pi\) | ||
0.606608 | − | 0.795001i | \(-0.292530\pi\) | |||||||
\(812\) | 4.56579 | + | 0.484943i | 0.160228 | + | 0.0170182i | ||||
\(813\) | −33.9138 | − | 9.34035i | −1.18941 | − | 0.327580i | ||||
\(814\) | 5.51364 | − | 9.54991i | 0.193253 | − | 0.334724i | ||||
\(815\) | −0.222814 | − | 0.385925i | −0.00780483 | − | 0.0135184i | ||||
\(816\) | −13.9282 | + | 3.62845i | −0.487583 | + | 0.127021i | ||||
\(817\) | 0.119039 | + | 0.0687270i | 0.00416463 | + | 0.00240445i | ||||
\(818\) | −21.1215 | −0.738496 | ||||||||
\(819\) | 0.947976 | − | 7.88044i | 0.0331249 | − | 0.275365i | ||||
\(820\) | 1.76421 | 0.0616089 | ||||||||
\(821\) | 22.7379 | + | 13.1277i | 0.793557 | + | 0.458160i | 0.841213 | − | 0.540704i | \(-0.181842\pi\) |
−0.0476564 | + | 0.998864i | \(0.515175\pi\) | |||||||
\(822\) | 13.9300 | − | 3.62894i | 0.485866 | − | 0.126574i | ||||
\(823\) | −14.5102 | − | 25.1324i | −0.505793 | − | 0.876060i | −0.999978 | − | 0.00670252i | \(-0.997867\pi\) |
0.494184 | − | 0.869357i | \(-0.335467\pi\) | |||||||
\(824\) | 17.1048 | − | 29.6263i | 0.595873 | − | 1.03208i | ||||
\(825\) | 35.8710 | + | 9.87939i | 1.24887 | + | 0.343956i | ||||
\(826\) | 21.3473 | − | 29.3145i | 0.742768 | − | 1.01998i | ||||
\(827\) | − | 17.2597i | − | 0.600178i | −0.953911 | − | 0.300089i | \(-0.902984\pi\) | ||
0.953911 | − | 0.300089i | \(-0.0970164\pi\) | |||||||
\(828\) | 6.71852 | + | 12.0197i | 0.233485 | + | 0.417714i | ||||
\(829\) | −41.6188 | + | 24.0286i | −1.44548 | + | 0.834548i | −0.998207 | − | 0.0598500i | \(-0.980938\pi\) |
−0.447272 | + | 0.894398i | \(0.647604\pi\) | |||||||
\(830\) | −4.55868 | + | 2.63196i | −0.158234 | + | 0.0913566i | ||||
\(831\) | −24.8483 | − | 25.1962i | −0.861978 | − | 0.874047i | ||||
\(832\) | 8.65792i | 0.300159i | ||||||||
\(833\) | 16.9033 | − | 18.6905i | 0.585666 | − | 0.647588i | ||||
\(834\) | −4.00206 | + | 14.5310i | −0.138580 | + | 0.503169i | ||||
\(835\) | 0.430866 | − | 0.746282i | 0.0149107 | − | 0.0258261i | ||||
\(836\) | 2.06841 | + | 3.58259i | 0.0715375 | + | 0.123907i | ||||
\(837\) | −7.82141 | + | 26.9303i | −0.270347 | + | 0.930848i | ||||
\(838\) | −9.28533 | − | 5.36089i | −0.320756 | − | 0.185189i | ||||
\(839\) | 35.4103 | 1.22250 | 0.611249 | − | 0.791438i | \(-0.290667\pi\) | ||||
0.611249 | + | 0.791438i | \(0.290667\pi\) | |||||||
\(840\) | −2.75499 | − | 3.45868i | −0.0950563 | − | 0.119336i | ||||
\(841\) | 21.6623 | 0.746977 | ||||||||
\(842\) | −29.3586 | − | 16.9502i | −1.01176 | − | 0.584141i | ||||
\(843\) | −2.55282 | − | 9.79924i | −0.0879238 | − | 0.337504i | ||||
\(844\) | −7.69663 | − | 13.3310i | −0.264929 | − | 0.458871i | ||||
\(845\) | 0.156706 | − | 0.271422i | 0.00539084 | − | 0.00933720i | ||||
\(846\) | −12.7791 | + | 21.4400i | −0.439354 | + | 0.737122i | ||||
\(847\) | 19.8411 | − | 8.80776i | 0.681747 | − | 0.302638i | ||||
\(848\) | 24.7629i | 0.850362i | ||||||||
\(849\) | 15.9760 | − | 15.7554i | 0.548294 | − | 0.540723i | ||||
\(850\) | −17.8179 | + | 10.2872i | −0.611150 | + | 0.352848i | ||||
\(851\) | 13.3911 | − | 7.73134i | 0.459040 | − | 0.265027i | ||||
\(852\) | 6.63164 | − | 6.54007i | 0.227196 | − | 0.224059i | ||||
\(853\) | − | 33.9380i | − | 1.16201i | −0.813898 | − | 0.581007i | \(-0.802659\pi\) | ||
0.813898 | − | 0.581007i | \(-0.197341\pi\) | |||||||
\(854\) | −2.22516 | + | 20.9501i | −0.0761433 | + | 0.716897i | ||||
\(855\) | 0.709309 | − | 1.19004i | 0.0242579 | − | 0.0406984i | ||||
\(856\) | 12.7249 | − | 22.0401i | 0.434927 | − | 0.753316i | ||||
\(857\) | −13.1055 | − | 22.6993i | −0.447674 | − | 0.775394i | 0.550560 | − | 0.834796i | \(-0.314414\pi\) |
−0.998234 | + | 0.0594012i | \(0.981081\pi\) | |||||||
\(858\) | 2.23101 | + | 8.56393i | 0.0761653 | + | 0.292368i | ||||
\(859\) | 13.1127 | + | 7.57061i | 0.447399 | + | 0.258306i | 0.706731 | − | 0.707482i | \(-0.250169\pi\) |
−0.259332 | + | 0.965788i | \(0.583502\pi\) | |||||||
\(860\) | −0.0187309 | −0.000638720 | ||||||||
\(861\) | 37.4727 | + | 14.7315i | 1.27707 | + | 0.502049i | ||||
\(862\) | −4.87263 | −0.165963 | ||||||||
\(863\) | 3.93062 | + | 2.26934i | 0.133800 | + | 0.0772493i | 0.565406 | − | 0.824813i | \(-0.308720\pi\) |
−0.431606 | + | 0.902062i | \(0.642053\pi\) | |||||||
\(864\) | 5.02353 | − | 17.2968i | 0.170904 | − | 0.588449i | ||||
\(865\) | −0.942687 | − | 1.63278i | −0.0320523 | − | 0.0555162i | ||||
\(866\) | −7.38167 | + | 12.7854i | −0.250839 | + | 0.434467i | ||||
\(867\) | 1.85785 | − | 6.74567i | 0.0630960 | − | 0.229095i | ||||
\(868\) | 3.71159 | + | 8.36103i | 0.125980 | + | 0.283792i | ||||
\(869\) | 10.6810i | 0.362329i | ||||||||
\(870\) | 1.20383 | + | 1.22068i | 0.0408135 | + | 0.0413849i | ||||
\(871\) | 9.51877 | − | 5.49567i | 0.322531 | − | 0.186214i | ||||
\(872\) | 39.3928 | − | 22.7434i | 1.33401 | − | 0.770190i | ||||
\(873\) | −12.4857 | − | 22.3375i | −0.422578 | − | 0.756010i | ||||
\(874\) | − | 12.3080i | − | 0.416325i | ||||||
\(875\) | −6.63725 | − | 4.83336i | −0.224380 | − | 0.163398i | ||||
\(876\) | 5.95579 | + | 1.64031i | 0.201227 | + | 0.0554209i | ||||
\(877\) | −2.43008 | + | 4.20903i | −0.0820581 | + | 0.142129i | −0.904134 | − | 0.427249i | \(-0.859483\pi\) |
0.822076 | + | 0.569378i | \(0.192816\pi\) | |||||||
\(878\) | −20.1969 | − | 34.9821i | −0.681613 | − | 1.18059i | ||||
\(879\) | 0.646636 | − | 0.168456i | 0.0218105 | − | 0.00568189i | ||||
\(880\) | 2.74558 | + | 1.58516i | 0.0925536 | + | 0.0534358i | ||||
\(881\) | 4.86189 | 0.163801 | 0.0819007 | − | 0.996640i | \(-0.473901\pi\) | ||||
0.0819007 | + | 0.996640i | \(0.473901\pi\) | |||||||
\(882\) | −7.19024 | − | 23.4045i | −0.242108 | − | 0.788071i | ||||
\(883\) | 12.3266 | 0.414823 | 0.207412 | − | 0.978254i | \(-0.433496\pi\) | ||||
0.207412 | + | 0.978254i | \(0.433496\pi\) | |||||||
\(884\) | 1.99739 | + | 1.15320i | 0.0671796 | + | 0.0387862i | ||||
\(885\) | −6.17552 | + | 1.60880i | −0.207588 | + | 0.0540791i | ||||
\(886\) | 0.299284 | + | 0.518376i | 0.0100547 | + | 0.0174152i | ||||
\(887\) | −17.2540 | + | 29.8847i | −0.579331 | + | 1.00343i | 0.416225 | + | 0.909262i | \(0.363353\pi\) |
−0.995556 | + | 0.0941692i | \(0.969981\pi\) | |||||||
\(888\) | −11.0958 | − | 3.05594i | −0.372350 | − | 0.102551i | ||||
\(889\) | 31.5918 | + | 23.0057i | 1.05955 | + | 0.771587i | ||||
\(890\) | 2.20155i | 0.0737960i | ||||||||
\(891\) | 1.09662 | − | 39.4258i | 0.0367383 | − | 1.32081i | ||||
\(892\) | 15.1727 | − | 8.75999i | 0.508021 | − | 0.293306i | ||||
\(893\) | −9.10578 | + | 5.25723i | −0.304713 | + | 0.175926i | ||||
\(894\) | −13.3288 | − | 13.5154i | −0.445783 | − | 0.452024i | ||||
\(895\) | 2.59783i | 0.0868357i | ||||||||
\(896\) | 3.39402 | + | 7.64562i | 0.113386 | + | 0.255422i | ||||
\(897\) | −3.29502 | + | 11.9639i | −0.110017 | + | 0.399462i | ||||
\(898\) | 7.35947 | − | 12.7470i | 0.245589 | − | 0.425372i | ||||
\(899\) | −7.30959 | − | 12.6606i | −0.243789 | − | 0.422254i | ||||
\(900\) | 0.130984 | − | 9.42013i | 0.00436614 | − | 0.314004i | ||||
\(901\) | 33.4471 | + | 19.3107i | 1.11428 | + | 0.643332i | ||||
\(902\) | −44.8934 | −1.49479 | ||||||||
\(903\) | −0.397855 | − | 0.156407i | −0.0132398 | − | 0.00520491i | ||||
\(904\) | −27.0094 | −0.898319 | ||||||||
\(905\) | 5.37844 | + | 3.10525i | 0.178786 | + | 0.103222i | ||||
\(906\) | −8.69543 | − | 33.3783i | −0.288886 | − | 1.10892i | ||||
\(907\) | −11.2691 | − | 19.5187i | −0.374185 | − | 0.648107i | 0.616020 | − | 0.787731i | \(-0.288744\pi\) |
−0.990205 | + | 0.139623i | \(0.955411\pi\) | |||||||
\(908\) | −6.56309 | + | 11.3676i | −0.217804 | + | 0.377247i | ||||
\(909\) | −13.4180 | − | 7.99765i | −0.445046 | − | 0.265265i | ||||
\(910\) | 0.102110 | − | 0.961374i | 0.00338491 | − | 0.0318692i | ||||
\(911\) | 51.1795i | 1.69565i | 0.530274 | + | 0.847826i | \(0.322089\pi\) | ||||
−0.530274 | + | 0.847826i | \(0.677911\pi\) | |||||||
\(912\) | −4.19434 | + | 4.13642i | −0.138888 | + | 0.136971i | ||||
\(913\) | −54.6722 | + | 31.5650i | −1.80938 | + | 1.04465i | ||||
\(914\) | 13.3041 | − | 7.68113i | 0.440061 | − | 0.254069i | ||||
\(915\) | 2.63977 | − | 2.60332i | 0.0872682 | − | 0.0860632i | ||||
\(916\) | 5.19724i | 0.171722i | ||||||||
\(917\) | −2.79052 | + | 1.23876i | −0.0921512 | + | 0.0409074i | ||||
\(918\) | 15.0970 | + | 15.7403i | 0.498276 | + | 0.519506i | ||||
\(919\) | −6.23594 | + | 10.8010i | −0.205705 | + | 0.356291i | −0.950357 | − | 0.311162i | \(-0.899282\pi\) |
0.744652 | + | 0.667453i | \(0.232615\pi\) | |||||||
\(920\) | 3.45659 | + | 5.98700i | 0.113961 | + | 0.197385i | ||||
\(921\) | 4.21957 | + | 16.1972i | 0.139040 | + | 0.533717i | ||||
\(922\) | 12.7963 | + | 7.38795i | 0.421424 | + | 0.243309i | ||||
\(923\) | 8.39369 | 0.276282 | ||||||||
\(924\) | −8.01604 | − | 10.0635i | −0.263708 | − | 0.331065i | ||||
\(925\) | −10.5792 | −0.347840 | ||||||||
\(926\) | −9.08607 | − | 5.24584i | −0.298587 | − | 0.172389i | ||||
\(927\) | −33.3311 | − | 0.463460i | −1.09474 | − | 0.0152220i | ||||
\(928\) | 4.69480 | + | 8.13163i | 0.154114 | + | 0.266934i | ||||
\(929\) | 16.9998 | − | 29.4446i | 0.557747 | − | 0.966046i | −0.439937 | − | 0.898028i | \(-0.644999\pi\) |
0.997684 | − | 0.0680172i | \(-0.0216673\pi\) | |||||||
\(930\) | −0.906973 | + | 3.29312i | −0.0297408 | + | 0.107986i | ||||
\(931\) | 2.16654 | − | 10.0841i | 0.0710056 | − | 0.330492i | ||||
\(932\) | 10.7301i | 0.351477i | ||||||||
\(933\) | 6.03624 | + | 6.12075i | 0.197618 | + | 0.200384i | ||||
\(934\) | 7.79132 | − | 4.49832i | 0.254940 | − | 0.147190i | ||||
\(935\) | 4.28213 | − | 2.47229i | 0.140041 | − | 0.0808526i | ||||
\(936\) | 8.06230 | − | 4.50649i | 0.263525 | − | 0.147299i | ||||
\(937\) | 26.0163i | 0.849916i | 0.905213 | + | 0.424958i | \(0.139711\pi\) | ||||
−0.905213 | + | 0.424958i | \(0.860289\pi\) | |||||||
\(938\) | 19.9589 | − | 27.4079i | 0.651682 | − | 0.894899i | ||||
\(939\) | −0.610075 | − | 0.168023i | −0.0199091 | − | 0.00548324i | ||||
\(940\) | 0.716406 | − | 1.24085i | 0.0233666 | − | 0.0404721i | ||||
\(941\) | −8.18824 | − | 14.1824i | −0.266929 | − | 0.462334i | 0.701138 | − | 0.713025i | \(-0.252676\pi\) |
−0.968067 | + | 0.250691i | \(0.919342\pi\) | |||||||
\(942\) | 2.30453 | − | 0.600357i | 0.0750855 | − | 0.0195607i | ||||
\(943\) | −54.5167 | − | 31.4752i | −1.77531 | − | 1.02497i | ||||
\(944\) | 27.1356 | 0.883189 | ||||||||
\(945\) | −1.63202 | + | 3.98765i | −0.0530896 | + | 0.129718i | ||||
\(946\) | 0.476642 | 0.0154970 | ||||||||
\(947\) | 29.4546 | + | 17.0056i | 0.957144 | + | 0.552608i | 0.895293 | − | 0.445478i | \(-0.146966\pi\) |
0.0618514 | + | 0.998085i | \(0.480300\pi\) | |||||||
\(948\) | 2.61718 | − | 0.681806i | 0.0850020 | − | 0.0221440i | ||||
\(949\) | 2.78356 | + | 4.82127i | 0.0903583 | + | 0.156505i | ||||
\(950\) | −4.21041 | + | 7.29265i | −0.136604 | + | 0.236605i | ||||
\(951\) | 37.8151 | + | 10.4148i | 1.22624 | + | 0.337724i | ||||
\(952\) | 29.1607 | + | 3.09723i | 0.945105 | + | 0.100382i | ||||
\(953\) | − | 58.0935i | − | 1.88183i | −0.338637 | − | 0.940917i | \(-0.609966\pi\) | ||
0.338637 | − | 0.940917i | \(-0.390034\pi\) | |||||||
\(954\) | 32.7541 | − | 18.3082i | 1.06045 | − | 0.592750i | ||||
\(955\) | −5.23379 | + | 3.02173i | −0.169361 | + | 0.0977809i | ||||
\(956\) | 5.19170 | − | 2.99743i | 0.167912 | − | 0.0969438i | ||||
\(957\) | 14.4374 | + | 14.6396i | 0.466696 | + | 0.473230i | ||||
\(958\) | 28.4583i | 0.919445i | ||||||||
\(959\) | −18.7542 | − | 1.99193i | −0.605605 | − | 0.0643227i | ||||
\(960\) | 1.24795 | − | 4.53119i | 0.0402775 | − | 0.146243i | ||||
\(961\) | −0.936722 | + | 1.62245i | −0.0302168 | + | 0.0523371i | ||||
\(962\) | −1.25815 | − | 2.17918i | −0.0405644 | − | 0.0702596i | ||||
\(963\) | −24.7963 | − | 0.344785i | −0.799048 | − | 0.0111106i | ||||
\(964\) | −9.86108 | − | 5.69330i | −0.317604 | − | 0.183369i | ||||
\(965\) | 2.66456 | 0.0857754 | ||||||||
\(966\) | 5.68371 | + | 37.8548i | 0.182870 | + | 1.21796i | ||||
\(967\) | 12.6722 | 0.407512 | 0.203756 | − | 0.979022i | \(-0.434685\pi\) | ||||
0.203756 | + | 0.979022i | \(0.434685\pi\) | |||||||
\(968\) | 21.8767 | + | 12.6305i | 0.703143 | + | 0.405960i | ||||
\(969\) | 2.31619 | + | 8.89093i | 0.0744069 | + | 0.285618i | ||||
\(970\) | −1.55848 | − | 2.69937i | −0.0500399 | − | 0.0866716i | ||||
\(971\) | −21.2318 | + | 36.7746i | −0.681361 | + | 1.18015i | 0.293205 | + | 0.956050i | \(0.405278\pi\) |
−0.974566 | + | 0.224102i | \(0.928055\pi\) | |||||||
\(972\) | −9.73053 | + | 2.24798i | −0.312107 | + | 0.0721039i | ||||
\(973\) | 11.6244 | − | 15.9628i | 0.372661 | − | 0.511743i | ||||
\(974\) | − | 22.4170i | − | 0.718286i | ||||||
\(975\) | 6.04501 | − | 5.96154i | 0.193595 | − | 0.190922i | ||||
\(976\) | −13.6528 | + | 7.88245i | −0.437015 | + | 0.252311i | ||||
\(977\) | −18.2758 | + | 10.5515i | −0.584693 | + | 0.337573i | −0.762996 | − | 0.646403i | \(-0.776273\pi\) |
0.178303 | + | 0.983976i | \(0.442939\pi\) | |||||||
\(978\) | 2.04440 | − | 2.01617i | 0.0653728 | − | 0.0644701i | ||||
\(979\) | 26.4031i | 0.843846i | ||||||||
\(980\) | 0.431398 | + | 1.33768i | 0.0137805 | + | 0.0427305i | ||||
\(981\) | −38.0732 | − | 22.6931i | −1.21558 | − | 0.724536i | ||||
\(982\) | −23.1672 | + | 40.1268i | −0.739296 | + | 1.28050i | ||||
\(983\) | 15.3208 | + | 26.5365i | 0.488659 | + | 0.846382i | 0.999915 | − | 0.0130463i | \(-0.00415289\pi\) |
−0.511256 | + | 0.859429i | \(0.670820\pi\) | |||||||
\(984\) | 11.8118 | + | 45.3409i | 0.376548 | + | 1.44542i | ||||
\(985\) | −0.558995 | − | 0.322736i | −0.0178111 | − | 0.0102832i | ||||
\(986\) | −11.3698 | −0.362088 | ||||||||
\(987\) | 25.5782 | − | 20.3742i | 0.814163 | − | 0.648517i | ||||
\(988\) | 0.943975 | 0.0300318 | ||||||||
\(989\) | 0.578814 | + | 0.334178i | 0.0184052 | + | 0.0106263i | ||||
\(990\) | 0.0667925 | − | 4.80358i | 0.00212280 | − | 0.152668i | ||||
\(991\) | 0.387809 | + | 0.671705i | 0.0123192 | + | 0.0213374i | 0.872119 | − | 0.489293i | \(-0.162745\pi\) |
−0.859800 | + | 0.510631i | \(0.829412\pi\) | |||||||
\(992\) | −9.35369 | + | 16.2011i | −0.296980 | + | 0.514384i | ||||
\(993\) | −6.98337 | + | 25.3559i | −0.221611 | + | 0.804644i | ||||
\(994\) | 23.6651 | − | 10.5053i | 0.750612 | − | 0.333209i | ||||
\(995\) | − | 7.97360i | − | 0.252780i | ||||||
\(996\) | 11.2243 | + | 11.3815i | 0.355655 | + | 0.360635i | ||||
\(997\) | 27.0422 | − | 15.6128i | 0.856436 | − | 0.494464i | −0.00638097 | − | 0.999980i | \(-0.502031\pi\) |
0.862817 | + | 0.505516i | \(0.168698\pi\) | |||||||
\(998\) | −6.57902 | + | 3.79840i | −0.208255 | + | 0.120236i | ||||
\(999\) | 2.67599 | + | 10.8905i | 0.0846646 | + | 0.344561i |
(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 | 273.2.bh.a.131.11 | ✓ | 64 | |
3.2 | odd | 2 | inner | 273.2.bh.a.131.22 | yes | 64 | |
7.3 | odd | 6 | inner | 273.2.bh.a.248.22 | yes | 64 | |
21.17 | even | 6 | inner | 273.2.bh.a.248.11 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bh.a.131.11 | ✓ | 64 | 1.1 | even | 1 | trivial | |
273.2.bh.a.131.22 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.bh.a.248.11 | yes | 64 | 21.17 | even | 6 | inner | |
273.2.bh.a.248.22 | yes | 64 | 7.3 | odd | 6 | inner |