Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [170,2,Mod(23,170)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(170, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([12, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("170.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 170 = 2 \cdot 5 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 170.r (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.35745683436\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 37.3 | ||
Character | \(\chi\) | \(=\) | 170.37 |
Dual form | 170.2.r.a.23.3 |
$q$-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 \(\left(\mathbb{Z}/170\mathbb{Z}\right)^\times\).
\(n\) | \(71\) | \(137\) |
\(\chi(n)\) | \(e\left(\frac{1}{16}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.923880 | − | 0.382683i | −0.653281 | − | 0.270598i | ||||
\(3\) | −0.283864 | + | 0.189672i | −0.163889 | + | 0.109507i | −0.634810 | − | 0.772668i | \(-0.718922\pi\) |
0.470921 | + | 0.882175i | \(0.343922\pi\) | |||||||
\(4\) | 0.707107 | + | 0.707107i | 0.353553 | + | 0.353553i | ||||
\(5\) | −1.91626 | + | 1.15236i | −0.856979 | + | 0.515352i | ||||
\(6\) | 0.334840 | − | 0.0666039i | 0.136698 | − | 0.0271909i | ||||
\(7\) | 3.52423 | − | 0.701012i | 1.33203 | − | 0.264958i | 0.522805 | − | 0.852453i | \(-0.324886\pi\) |
0.809228 | + | 0.587495i | \(0.199886\pi\) | |||||||
\(8\) | −0.382683 | − | 0.923880i | −0.135299 | − | 0.326641i | ||||
\(9\) | −1.10345 | + | 2.66396i | −0.367816 | + | 0.887986i | ||||
\(10\) | 2.21139 | − | 0.331322i | 0.699302 | − | 0.104773i | ||||
\(11\) | 0.940564 | + | 4.72854i | 0.283591 | + | 1.42571i | 0.815427 | + | 0.578860i | \(0.196502\pi\) |
−0.531836 | + | 0.846847i | \(0.678498\pi\) | |||||||
\(12\) | −0.334840 | − | 0.0666039i | −0.0966601 | − | 0.0192269i | ||||
\(13\) | 1.94218 | 0.538663 | 0.269331 | − | 0.963048i | \(-0.413197\pi\) | ||||
0.269331 | + | 0.963048i | \(0.413197\pi\) | |||||||
\(14\) | −3.52423 | − | 0.701012i | −0.941889 | − | 0.187353i | ||||
\(15\) | 0.325387 | − | 0.690575i | 0.0840146 | − | 0.178306i | ||||
\(16\) | 1.00000i | 0.250000i | ||||||||
\(17\) | 3.64211 | + | 1.93263i | 0.883340 | + | 0.468732i | ||||
\(18\) | 2.03890 | − | 2.03890i | 0.480574 | − | 0.480574i | ||||
\(19\) | −0.750101 | − | 1.81090i | −0.172085 | − | 0.415450i | 0.814182 | − | 0.580610i | \(-0.197186\pi\) |
−0.986267 | + | 0.165160i | \(0.947186\pi\) | |||||||
\(20\) | −2.16985 | − | 0.540159i | −0.485192 | − | 0.120783i | ||||
\(21\) | −0.867439 | + | 0.867439i | −0.189291 | + | 0.189291i | ||||
\(22\) | 0.940564 | − | 4.72854i | 0.200529 | − | 1.00813i | ||||
\(23\) | −0.870739 | + | 1.30315i | −0.181562 | + | 0.271726i | −0.911075 | − | 0.412240i | \(-0.864746\pi\) |
0.729514 | + | 0.683966i | \(0.239746\pi\) | |||||||
\(24\) | 0.283864 | + | 0.189672i | 0.0579435 | + | 0.0387166i | ||||
\(25\) | 2.34412 | − | 4.41646i | 0.468825 | − | 0.883291i | ||||
\(26\) | −1.79434 | − | 0.743239i | −0.351898 | − | 0.145761i | ||||
\(27\) | −0.391860 | − | 1.97002i | −0.0754136 | − | 0.379130i | ||||
\(28\) | 2.98770 | + | 1.99631i | 0.564621 | + | 0.377268i | ||||
\(29\) | −1.38219 | − | 2.06859i | −0.256666 | − | 0.384127i | 0.680650 | − | 0.732609i | \(-0.261697\pi\) |
−0.937316 | + | 0.348481i | \(0.886697\pi\) | |||||||
\(30\) | −0.564890 | + | 0.513488i | −0.103134 | + | 0.0937496i | ||||
\(31\) | −1.47888 | + | 7.43482i | −0.265614 | + | 1.33533i | 0.585637 | + | 0.810574i | \(0.300845\pi\) |
−0.851251 | + | 0.524759i | \(0.824155\pi\) | |||||||
\(32\) | 0.382683 | − | 0.923880i | 0.0676495 | − | 0.163320i | ||||
\(33\) | −1.16386 | − | 1.16386i | −0.202602 | − | 0.202602i | ||||
\(34\) | −2.62528 | − | 3.17929i | −0.450232 | − | 0.545244i | ||||
\(35\) | −5.94552 | + | 5.40451i | −1.00498 | + | 0.913529i | ||||
\(36\) | −2.66396 | + | 1.10345i | −0.443993 | + | 0.183908i | ||||
\(37\) | −6.22802 | − | 9.32090i | −1.02388 | − | 1.53235i | −0.834928 | − | 0.550360i | \(-0.814491\pi\) |
−0.188953 | − | 0.981986i | \(-0.560509\pi\) | |||||||
\(38\) | 1.96011i | 0.317972i | ||||||||
\(39\) | −0.551314 | + | 0.368376i | −0.0882809 | + | 0.0589874i | ||||
\(40\) | 1.79797 | + | 1.32941i | 0.284283 | + | 0.210198i | ||||
\(41\) | 2.81015 | − | 4.20569i | 0.438872 | − | 0.656819i | −0.544428 | − | 0.838807i | \(-0.683253\pi\) |
0.983301 | + | 0.181989i | \(0.0582534\pi\) | |||||||
\(42\) | 1.13336 | − | 0.469455i | 0.174882 | − | 0.0724384i | ||||
\(43\) | −4.60809 | + | 1.90873i | −0.702728 | + | 0.291079i | −0.705292 | − | 0.708917i | \(-0.749184\pi\) |
0.00256390 | + | 0.999997i | \(0.499184\pi\) | |||||||
\(44\) | −2.67850 | + | 4.00866i | −0.403799 | + | 0.604328i | ||||
\(45\) | −0.955348 | − | 6.37641i | −0.142415 | − | 0.950539i | ||||
\(46\) | 1.30315 | − | 0.870739i | 0.192139 | − | 0.128383i | ||||
\(47\) | − | 5.22662i | − | 0.762380i | −0.924497 | − | 0.381190i | \(-0.875514\pi\) | ||
0.924497 | − | 0.381190i | \(-0.124486\pi\) | |||||||
\(48\) | −0.189672 | − | 0.283864i | −0.0273768 | − | 0.0409722i | ||||
\(49\) | 5.46160 | − | 2.26227i | 0.780229 | − | 0.323181i | ||||
\(50\) | −3.85579 | + | 3.18322i | −0.545291 | + | 0.450175i | ||||
\(51\) | −1.40043 | + | 0.142200i | −0.196099 | + | 0.0199120i | ||||
\(52\) | 1.37333 | + | 1.37333i | 0.190446 | + | 0.190446i | ||||
\(53\) | 2.69959 | − | 6.51739i | 0.370817 | − | 0.895232i | −0.622795 | − | 0.782385i | \(-0.714003\pi\) |
0.993612 | − | 0.112847i | \(-0.0359970\pi\) | |||||||
\(54\) | −0.391860 | + | 1.97002i | −0.0533254 | + | 0.268085i | ||||
\(55\) | −7.25135 | − | 7.97725i | −0.977772 | − | 1.07565i | ||||
\(56\) | −1.99631 | − | 2.98770i | −0.266769 | − | 0.399248i | ||||
\(57\) | 0.556404 | + | 0.371777i | 0.0736975 | + | 0.0492431i | ||||
\(58\) | 0.485359 | + | 2.44007i | 0.0637308 | + | 0.320396i | ||||
\(59\) | −0.333812 | − | 0.138269i | −0.0434586 | − | 0.0180011i | 0.360848 | − | 0.932625i | \(-0.382487\pi\) |
−0.404307 | + | 0.914623i | \(0.632487\pi\) | |||||||
\(60\) | 0.718394 | − | 0.258227i | 0.0927443 | − | 0.0333369i | ||||
\(61\) | 4.07844 | + | 2.72513i | 0.522191 | + | 0.348917i | 0.788564 | − | 0.614953i | \(-0.210825\pi\) |
−0.266373 | + | 0.963870i | \(0.585825\pi\) | |||||||
\(62\) | 4.21149 | − | 6.30293i | 0.534859 | − | 0.800473i | ||||
\(63\) | −2.02133 | + | 10.1619i | −0.254664 | + | 1.28028i | ||||
\(64\) | −0.707107 | + | 0.707107i | −0.0883883 | + | 0.0883883i | ||||
\(65\) | −3.72172 | + | 2.23809i | −0.461622 | + | 0.277601i | ||||
\(66\) | 0.629878 | + | 1.52066i | 0.0775326 | + | 0.187180i | ||||
\(67\) | −8.03403 | + | 8.03403i | −0.981513 | + | 0.981513i | −0.999832 | − | 0.0183194i | \(-0.994168\pi\) |
0.0183194 | + | 0.999832i | \(0.494168\pi\) | |||||||
\(68\) | 1.20878 | + | 3.94193i | 0.146586 | + | 0.478030i | ||||
\(69\) | − | 0.535073i | − | 0.0644152i | ||||||
\(70\) | 7.56116 | − | 2.71786i | 0.903732 | − | 0.324847i | ||||
\(71\) | 7.79122 | + | 1.54977i | 0.924648 | + | 0.183924i | 0.634380 | − | 0.773022i | \(-0.281256\pi\) |
0.290268 | + | 0.956945i | \(0.406256\pi\) | |||||||
\(72\) | 2.88345 | 0.339817 | ||||||||
\(73\) | 16.0658 | + | 3.19568i | 1.88036 | + | 0.374026i | 0.995733 | − | 0.0922798i | \(-0.0294154\pi\) |
0.884624 | + | 0.466306i | \(0.154415\pi\) | |||||||
\(74\) | 2.18699 | + | 10.9947i | 0.254233 | + | 1.27811i | ||||
\(75\) | 0.172265 | + | 1.69829i | 0.0198914 | + | 0.196101i | ||||
\(76\) | 0.750101 | − | 1.81090i | 0.0860425 | − | 0.207725i | ||||
\(77\) | 6.62953 | + | 16.0051i | 0.755505 | + | 1.82395i | ||||
\(78\) | 0.650319 | − | 0.129356i | 0.0736341 | − | 0.0146467i | ||||
\(79\) | 16.8162 | − | 3.34495i | 1.89197 | − | 0.376336i | 0.894476 | − | 0.447116i | \(-0.147549\pi\) |
0.997492 | + | 0.0707807i | \(0.0225490\pi\) | |||||||
\(80\) | −1.15236 | − | 1.91626i | −0.128838 | − | 0.214245i | ||||
\(81\) | −5.63182 | − | 5.63182i | −0.625758 | − | 0.625758i | ||||
\(82\) | −4.20569 | + | 2.81015i | −0.464441 | + | 0.310329i | ||||
\(83\) | −2.74602 | − | 1.13744i | −0.301415 | − | 0.124850i | 0.226850 | − | 0.973930i | \(-0.427157\pi\) |
−0.528265 | + | 0.849080i | \(0.677157\pi\) | |||||||
\(84\) | −1.22674 | −0.133849 | ||||||||
\(85\) | −9.20632 | + | 0.493593i | −0.998566 | + | 0.0535377i | ||||
\(86\) | 4.98776 | 0.537844 | ||||||||
\(87\) | 0.784706 | + | 0.325036i | 0.0841293 | + | 0.0348475i | ||||
\(88\) | 4.00866 | − | 2.67850i | 0.427325 | − | 0.285529i | ||||
\(89\) | −9.67438 | − | 9.67438i | −1.02548 | − | 1.02548i | −0.999667 | − | 0.0258152i | \(-0.991782\pi\) |
−0.0258152 | − | 0.999667i | \(-0.508218\pi\) | |||||||
\(90\) | −1.55752 | + | 6.25663i | −0.164177 | + | 0.659507i | ||||
\(91\) | 6.84467 | − | 1.36149i | 0.717516 | − | 0.142723i | ||||
\(92\) | −1.53717 | + | 0.305763i | −0.160261 | + | 0.0318780i | ||||
\(93\) | −0.990375 | − | 2.39098i | −0.102697 | − | 0.247933i | ||||
\(94\) | −2.00014 | + | 4.82876i | −0.206299 | + | 0.498049i | ||||
\(95\) | 3.52421 | + | 2.60578i | 0.361576 | + | 0.267347i | ||||
\(96\) | 0.0666039 | + | 0.334840i | 0.00679773 | + | 0.0341745i | ||||
\(97\) | 6.26366 | + | 1.24592i | 0.635978 | + | 0.126504i | 0.502541 | − | 0.864553i | \(-0.332399\pi\) |
0.133437 | + | 0.991057i | \(0.457399\pi\) | |||||||
\(98\) | −5.91160 | −0.597161 | ||||||||
\(99\) | −13.6345 | − | 2.71207i | −1.37032 | − | 0.272573i | ||||
\(100\) | 4.78045 | − | 1.46536i | 0.478045 | − | 0.146536i | ||||
\(101\) | − | 3.00567i | − | 0.299075i | −0.988756 | − | 0.149537i | \(-0.952222\pi\) | ||
0.988756 | − | 0.149537i | \(-0.0477784\pi\) | |||||||
\(102\) | 1.34824 | + | 0.404545i | 0.133496 | + | 0.0400559i | ||||
\(103\) | 4.47783 | − | 4.47783i | 0.441213 | − | 0.441213i | −0.451206 | − | 0.892420i | \(-0.649006\pi\) |
0.892420 | + | 0.451206i | \(0.149006\pi\) | |||||||
\(104\) | −0.743239 | − | 1.79434i | −0.0728805 | − | 0.175949i | ||||
\(105\) | 0.662637 | − | 2.66184i | 0.0646668 | − | 0.259769i | ||||
\(106\) | −4.98819 | + | 4.98819i | −0.484496 | + | 0.484496i | ||||
\(107\) | 1.43698 | − | 7.22418i | 0.138918 | − | 0.698388i | −0.847058 | − | 0.531500i | \(-0.821628\pi\) |
0.985976 | − | 0.166887i | \(-0.0533716\pi\) | |||||||
\(108\) | 1.11592 | − | 1.67010i | 0.107380 | − | 0.160705i | ||||
\(109\) | 7.53682 | + | 5.03594i | 0.721896 | + | 0.482356i | 0.861439 | − | 0.507860i | \(-0.169563\pi\) |
−0.139543 | + | 0.990216i | \(0.544563\pi\) | |||||||
\(110\) | 3.64662 | + | 10.1450i | 0.347691 | + | 0.967287i | ||||
\(111\) | 3.53582 | + | 1.46459i | 0.335605 | + | 0.139012i | ||||
\(112\) | 0.701012 | + | 3.52423i | 0.0662394 | + | 0.333008i | ||||
\(113\) | −11.8221 | − | 7.89926i | −1.11213 | − | 0.743099i | −0.143015 | − | 0.989721i | \(-0.545680\pi\) |
−0.969112 | + | 0.246621i | \(0.920680\pi\) | |||||||
\(114\) | −0.371777 | − | 0.556404i | −0.0348201 | − | 0.0521120i | ||||
\(115\) | 0.166861 | − | 3.50059i | 0.0155598 | − | 0.326432i | ||||
\(116\) | 0.485359 | − | 2.44007i | 0.0450645 | − | 0.226554i | ||||
\(117\) | −2.14309 | + | 5.17387i | −0.198129 | + | 0.478325i | ||||
\(118\) | 0.255488 | + | 0.255488i | 0.0235196 | + | 0.0235196i | ||||
\(119\) | 14.1904 | + | 4.25787i | 1.30083 | + | 0.390319i | ||||
\(120\) | −0.762529 | − | 0.0363471i | −0.0696090 | − | 0.00331802i | ||||
\(121\) | −11.3117 | + | 4.68547i | −1.02834 | + | 0.425952i | ||||
\(122\) | −2.72513 | − | 4.07844i | −0.246721 | − | 0.369245i | ||||
\(123\) | 1.72685i | 0.155705i | ||||||||
\(124\) | −6.30293 | + | 4.21149i | −0.566020 | + | 0.378203i | ||||
\(125\) | 0.597397 | + | 11.1644i | 0.0534328 | + | 0.998571i | ||||
\(126\) | 5.75626 | − | 8.61486i | 0.512809 | − | 0.767473i | ||||
\(127\) | −5.23797 | + | 2.16964i | −0.464795 | + | 0.192524i | −0.602776 | − | 0.797911i | \(-0.705939\pi\) |
0.137981 | + | 0.990435i | \(0.455939\pi\) | |||||||
\(128\) | 0.923880 | − | 0.382683i | 0.0816602 | − | 0.0338248i | ||||
\(129\) | 0.946038 | − | 1.41585i | 0.0832940 | − | 0.124658i | ||||
\(130\) | 4.29490 | − | 0.643485i | 0.376688 | − | 0.0564373i | ||||
\(131\) | −7.23020 | + | 4.83107i | −0.631706 | + | 0.422092i | −0.829777 | − | 0.558095i | \(-0.811532\pi\) |
0.198071 | + | 0.980188i | \(0.436532\pi\) | |||||||
\(132\) | − | 1.64595i | − | 0.143262i | ||||||
\(133\) | −3.91299 | − | 5.85621i | −0.339299 | − | 0.507797i | ||||
\(134\) | 10.4970 | − | 4.34798i | 0.906800 | − | 0.375609i | ||||
\(135\) | 3.02108 | + | 3.32350i | 0.260013 | + | 0.286041i | ||||
\(136\) | 0.391746 | − | 4.10445i | 0.0335919 | − | 0.351954i | ||||
\(137\) | −3.97096 | − | 3.97096i | −0.339262 | − | 0.339262i | 0.516827 | − | 0.856090i | \(-0.327113\pi\) |
−0.856090 | + | 0.516827i | \(0.827113\pi\) | |||||||
\(138\) | −0.204763 | + | 0.494343i | −0.0174306 | + | 0.0420812i | ||||
\(139\) | −1.95952 | + | 9.85119i | −0.166205 | + | 0.835567i | 0.804252 | + | 0.594289i | \(0.202566\pi\) |
−0.970456 | + | 0.241278i | \(0.922434\pi\) | |||||||
\(140\) | −8.02569 | − | 0.382556i | −0.678294 | − | 0.0323319i | ||||
\(141\) | 0.991342 | + | 1.48365i | 0.0834861 | + | 0.124946i | ||||
\(142\) | −6.60508 | − | 4.41337i | −0.554286 | − | 0.370362i | ||||
\(143\) | 1.82674 | + | 9.18365i | 0.152760 | + | 0.767975i | ||||
\(144\) | −2.66396 | − | 1.10345i | −0.221996 | − | 0.0919539i | ||||
\(145\) | 5.03239 | + | 2.37118i | 0.417918 | + | 0.196916i | ||||
\(146\) | −13.6199 | − | 9.10053i | −1.12719 | − | 0.753165i | ||||
\(147\) | −1.12126 | + | 1.67809i | −0.0924802 | + | 0.138406i | ||||
\(148\) | 2.18699 | − | 10.9947i | 0.179770 | − | 0.903763i | ||||
\(149\) | 9.70578 | − | 9.70578i | 0.795128 | − | 0.795128i | −0.187194 | − | 0.982323i | \(-0.559939\pi\) |
0.982323 | + | 0.187194i | \(0.0599394\pi\) | |||||||
\(150\) | 0.490754 | − | 1.63494i | 0.0400699 | − | 0.133492i | ||||
\(151\) | −9.32964 | − | 22.5237i | −0.759235 | − | 1.83296i | −0.496327 | − | 0.868136i | \(-0.665318\pi\) |
−0.262909 | − | 0.964821i | \(-0.584682\pi\) | |||||||
\(152\) | −1.38601 | + | 1.38601i | −0.112420 | + | 0.112420i | ||||
\(153\) | −9.16732 | + | 7.56985i | −0.741134 | + | 0.611986i | ||||
\(154\) | − | 17.3238i | − | 1.39599i | ||||||
\(155\) | −5.73368 | − | 15.9513i | −0.460540 | − | 1.28124i | ||||
\(156\) | −0.650319 | − | 0.129356i | −0.0520672 | − | 0.0103568i | ||||
\(157\) | 5.06165 | 0.403964 | 0.201982 | − | 0.979389i | \(-0.435262\pi\) | ||||
0.201982 | + | 0.979389i | \(0.435262\pi\) | |||||||
\(158\) | −16.8162 | − | 3.34495i | −1.33782 | − | 0.266110i | ||||
\(159\) | 0.469848 | + | 2.36209i | 0.0372614 | + | 0.187326i | ||||
\(160\) | 0.331322 | + | 2.21139i | 0.0261933 | + | 0.174825i | ||||
\(161\) | −2.15515 | + | 5.20300i | −0.169850 | + | 0.410054i | ||||
\(162\) | 3.04792 | + | 7.35833i | 0.239467 | + | 0.578125i | ||||
\(163\) | −7.30456 | + | 1.45297i | −0.572137 | + | 0.113805i | −0.472676 | − | 0.881236i | \(-0.656712\pi\) |
−0.0994613 | + | 0.995041i | \(0.531712\pi\) | |||||||
\(164\) | 4.96095 | − | 0.986794i | 0.387385 | − | 0.0770557i | ||||
\(165\) | 3.57146 | + | 0.889076i | 0.278038 | + | 0.0692144i | ||||
\(166\) | 2.10171 | + | 2.10171i | 0.163125 | + | 0.163125i | ||||
\(167\) | −6.38164 | + | 4.26408i | −0.493826 | + | 0.329964i | −0.777422 | − | 0.628980i | \(-0.783473\pi\) |
0.283595 | + | 0.958944i | \(0.408473\pi\) | |||||||
\(168\) | 1.13336 | + | 0.469455i | 0.0874409 | + | 0.0362192i | ||||
\(169\) | −9.22795 | −0.709842 | ||||||||
\(170\) | 8.69442 | + | 3.06709i | 0.666832 | + | 0.235235i | ||||
\(171\) | 5.65187 | 0.432209 | ||||||||
\(172\) | −4.60809 | − | 1.90873i | −0.351364 | − | 0.145540i | ||||
\(173\) | 3.94433 | − | 2.63552i | 0.299882 | − | 0.200375i | −0.396521 | − | 0.918026i | \(-0.629783\pi\) |
0.696403 | + | 0.717651i | \(0.254783\pi\) | |||||||
\(174\) | −0.600588 | − | 0.600588i | −0.0455304 | − | 0.0455304i | ||||
\(175\) | 5.16524 | − | 17.2079i | 0.390455 | − | 1.30079i | ||||
\(176\) | −4.72854 | + | 0.940564i | −0.356427 | + | 0.0708977i | ||||
\(177\) | 0.120983 | − | 0.0240650i | 0.00909363 | − | 0.00180884i | ||||
\(178\) | 5.23574 | + | 12.6402i | 0.392435 | + | 0.947422i | ||||
\(179\) | −2.12374 | + | 5.12717i | −0.158736 | + | 0.383222i | −0.983159 | − | 0.182751i | \(-0.941500\pi\) |
0.824423 | + | 0.565974i | \(0.191500\pi\) | |||||||
\(180\) | 3.83327 | − | 5.18434i | 0.285715 | − | 0.386418i | ||||
\(181\) | 0.457102 | + | 2.29801i | 0.0339761 | + | 0.170809i | 0.994048 | − | 0.108945i | \(-0.0347471\pi\) |
−0.960072 | + | 0.279754i | \(0.909747\pi\) | |||||||
\(182\) | −6.84467 | − | 1.36149i | −0.507361 | − | 0.100920i | ||||
\(183\) | −1.67460 | −0.123790 | ||||||||
\(184\) | 1.53717 | + | 0.305763i | 0.113322 | + | 0.0225411i | ||||
\(185\) | 22.6756 | + | 10.6843i | 1.66714 | + | 0.785529i | ||||
\(186\) | 2.58798i | 0.189760i | ||||||||
\(187\) | −5.71289 | + | 19.0396i | −0.417768 | + | 1.39231i | ||||
\(188\) | 3.69578 | − | 3.69578i | 0.269542 | − | 0.269542i | ||||
\(189\) | −2.76201 | − | 6.66808i | −0.200907 | − | 0.485032i | ||||
\(190\) | −2.25875 | − | 3.75608i | −0.163867 | − | 0.272495i | ||||
\(191\) | 8.70377 | − | 8.70377i | 0.629783 | − | 0.629783i | −0.318231 | − | 0.948013i | \(-0.603089\pi\) |
0.948013 | + | 0.318231i | \(0.103089\pi\) | |||||||
\(192\) | 0.0666039 | − | 0.334840i | 0.00480672 | − | 0.0241650i | ||||
\(193\) | −1.60722 | + | 2.40537i | −0.115690 | + | 0.173142i | −0.884795 | − | 0.465980i | \(-0.845702\pi\) |
0.769106 | + | 0.639122i | \(0.220702\pi\) | |||||||
\(194\) | −5.31007 | − | 3.54808i | −0.381241 | − | 0.254737i | ||||
\(195\) | 0.631959 | − | 1.34122i | 0.0452556 | − | 0.0960466i | ||||
\(196\) | 5.46160 | + | 2.26227i | 0.390114 | + | 0.161591i | ||||
\(197\) | −2.77782 | − | 13.9651i | −0.197912 | − | 0.994969i | −0.944207 | − | 0.329354i | \(-0.893169\pi\) |
0.746295 | − | 0.665615i | \(-0.231831\pi\) | |||||||
\(198\) | 11.5588 | + | 7.72331i | 0.821445 | + | 0.548872i | ||||
\(199\) | 7.74473 | + | 11.5908i | 0.549010 | + | 0.821651i | 0.997391 | − | 0.0721915i | \(-0.0229993\pi\) |
−0.448381 | + | 0.893842i | \(0.647999\pi\) | |||||||
\(200\) | −4.97733 | − | 0.475584i | −0.351950 | − | 0.0336289i | ||||
\(201\) | 0.756742 | − | 3.80440i | 0.0533765 | − | 0.268342i | ||||
\(202\) | −1.15022 | + | 2.77687i | −0.0809291 | + | 0.195380i | ||||
\(203\) | −6.32124 | − | 6.32124i | −0.443664 | − | 0.443664i | ||||
\(204\) | −1.09080 | − | 0.889702i | −0.0763715 | − | 0.0622916i | ||||
\(205\) | −0.538513 | + | 11.2975i | −0.0376114 | + | 0.789053i | ||||
\(206\) | −5.85056 | + | 2.42338i | −0.407628 | + | 0.168845i | ||||
\(207\) | −2.51073 | − | 3.75757i | −0.174508 | − | 0.261169i | ||||
\(208\) | 1.94218i | 0.134666i | ||||||||
\(209\) | 7.85741 | − | 5.25015i | 0.543508 | − | 0.363161i | ||||
\(210\) | −1.63084 | + | 2.20564i | −0.112539 | + | 0.152204i | ||||
\(211\) | 5.28582 | − | 7.91079i | 0.363891 | − | 0.544602i | −0.603671 | − | 0.797233i | \(-0.706296\pi\) |
0.967563 | + | 0.252632i | \(0.0812961\pi\) | |||||||
\(212\) | 6.51739 | − | 2.69959i | 0.447616 | − | 0.185409i | ||||
\(213\) | −2.50559 | + | 1.03785i | −0.171681 | + | 0.0711124i | ||||
\(214\) | −4.09217 | + | 6.12436i | −0.279735 | + | 0.418653i | ||||
\(215\) | 6.63076 | − | 8.96783i | 0.452214 | − | 0.611601i | ||||
\(216\) | −1.67010 | + | 1.11592i | −0.113636 | + | 0.0759290i | ||||
\(217\) | 27.2387i | 1.84908i | ||||||||
\(218\) | −5.03594 | − | 7.53682i | −0.341077 | − | 0.510458i | ||||
\(219\) | −5.16663 | + | 2.14009i | −0.349128 | + | 0.144614i | ||||
\(220\) | 0.513285 | − | 10.7682i | 0.0346056 | − | 0.725995i | ||||
\(221\) | 7.07361 | + | 3.75351i | 0.475823 | + | 0.252489i | ||||
\(222\) | −2.70620 | − | 2.70620i | −0.181628 | − | 0.181628i | ||||
\(223\) | 0.465309 | − | 1.12336i | 0.0311594 | − | 0.0752254i | −0.907534 | − | 0.419979i | \(-0.862037\pi\) |
0.938693 | + | 0.344753i | \(0.112037\pi\) | |||||||
\(224\) | 0.701012 | − | 3.52423i | 0.0468384 | − | 0.235472i | ||||
\(225\) | 9.17863 | + | 11.1180i | 0.611909 | + | 0.741198i | ||||
\(226\) | 7.89926 | + | 11.8221i | 0.525451 | + | 0.786392i | ||||
\(227\) | 14.3089 | + | 9.56087i | 0.949712 | + | 0.634577i | 0.930911 | − | 0.365246i | \(-0.119015\pi\) |
0.0188008 | + | 0.999823i | \(0.494015\pi\) | |||||||
\(228\) | 0.130551 | + | 0.656323i | 0.00864594 | + | 0.0434661i | ||||
\(229\) | −9.76206 | − | 4.04358i | −0.645095 | − | 0.267207i | 0.0360564 | − | 0.999350i | \(-0.488520\pi\) |
−0.681151 | + | 0.732143i | \(0.738520\pi\) | |||||||
\(230\) | −1.49378 | + | 3.17027i | −0.0984967 | + | 0.209041i | ||||
\(231\) | −4.91760 | − | 3.28583i | −0.323554 | − | 0.216192i | ||||
\(232\) | −1.38219 | + | 2.06859i | −0.0907450 | + | 0.135809i | ||||
\(233\) | 2.40007 | − | 12.0660i | 0.157234 | − | 0.790468i | −0.819008 | − | 0.573783i | \(-0.805475\pi\) |
0.976241 | − | 0.216686i | \(-0.0695246\pi\) | |||||||
\(234\) | 3.95991 | − | 3.95991i | 0.258867 | − | 0.258867i | ||||
\(235\) | 6.02295 | + | 10.0156i | 0.392894 | + | 0.653344i | ||||
\(236\) | −0.138269 | − | 0.333812i | −0.00900056 | − | 0.0217293i | ||||
\(237\) | −4.13906 | + | 4.13906i | −0.268861 | + | 0.268861i | ||||
\(238\) | −11.4808 | − | 9.36420i | −0.744190 | − | 0.606991i | ||||
\(239\) | 24.2390i | 1.56789i | 0.620830 | + | 0.783945i | \(0.286796\pi\) | ||||
−0.620830 | + | 0.783945i | \(0.713204\pi\) | |||||||
\(240\) | 0.690575 | + | 0.325387i | 0.0445764 | + | 0.0210037i | ||||
\(241\) | −25.0133 | − | 4.97546i | −1.61125 | − | 0.320498i | −0.694358 | − | 0.719630i | \(-0.744311\pi\) |
−0.916893 | + | 0.399133i | \(0.869311\pi\) | |||||||
\(242\) | 12.2437 | 0.787056 | ||||||||
\(243\) | 8.57691 | + | 1.70605i | 0.550209 | + | 0.109443i | ||||
\(244\) | 0.956938 | + | 4.81085i | 0.0612616 | + | 0.307983i | ||||
\(245\) | −7.85891 | + | 10.6288i | −0.502087 | + | 0.679052i | ||||
\(246\) | 0.660837 | − | 1.59540i | 0.0421334 | − | 0.101719i | ||||
\(247\) | −1.45683 | − | 3.51709i | −0.0926957 | − | 0.223787i | ||||
\(248\) | 7.43482 | − | 1.47888i | 0.472111 | − | 0.0939088i | ||||
\(249\) | 0.995237 | − | 0.197965i | 0.0630706 | − | 0.0125455i | ||||
\(250\) | 3.72050 | − | 10.5431i | 0.235305 | − | 0.666807i | ||||
\(251\) | 21.0326 | + | 21.0326i | 1.32757 | + | 1.32757i | 0.907485 | + | 0.420083i | \(0.137999\pi\) |
0.420083 | + | 0.907485i | \(0.362001\pi\) | |||||||
\(252\) | −8.61486 | + | 5.75626i | −0.542685 | + | 0.362611i | ||||
\(253\) | −6.98099 | − | 2.89162i | −0.438891 | − | 0.181795i | ||||
\(254\) | 5.66954 | 0.355738 | ||||||||
\(255\) | 2.51972 | − | 1.88629i | 0.157791 | − | 0.118124i | ||||
\(256\) | −1.00000 | −0.0625000 | ||||||||
\(257\) | −6.85638 | − | 2.84001i | −0.427689 | − | 0.177155i | 0.158447 | − | 0.987368i | \(-0.449351\pi\) |
−0.586136 | + | 0.810213i | \(0.699351\pi\) | |||||||
\(258\) | −1.41585 | + | 0.946038i | −0.0881468 | + | 0.0588978i | ||||
\(259\) | −28.4830 | − | 28.4830i | −1.76985 | − | 1.76985i | ||||
\(260\) | −4.21422 | − | 1.04908i | −0.261355 | − | 0.0650615i | ||||
\(261\) | 7.03580 | − | 1.39951i | 0.435505 | − | 0.0866273i | ||||
\(262\) | 8.52861 | − | 1.69645i | 0.526899 | − | 0.104807i | ||||
\(263\) | −6.46073 | − | 15.5976i | −0.398385 | − | 0.961787i | −0.988049 | − | 0.154139i | \(-0.950740\pi\) |
0.589664 | − | 0.807649i | \(-0.299260\pi\) | |||||||
\(264\) | −0.629878 | + | 1.52066i | −0.0387663 | + | 0.0935901i | ||||
\(265\) | 2.33726 | + | 15.5999i | 0.143577 | + | 0.958296i | ||||
\(266\) | 1.37406 | + | 6.90787i | 0.0842490 | + | 0.423548i | ||||
\(267\) | 4.58116 | + | 0.911250i | 0.280363 | + | 0.0557676i | ||||
\(268\) | −11.3618 | −0.694034 | ||||||||
\(269\) | 23.5534 | + | 4.68505i | 1.43607 | + | 0.285653i | 0.850931 | − | 0.525277i | \(-0.176038\pi\) |
0.585143 | + | 0.810930i | \(0.301038\pi\) | |||||||
\(270\) | −1.51926 | − | 4.22663i | −0.0924594 | − | 0.257225i | ||||
\(271\) | − | 3.09601i | − | 0.188069i | −0.995569 | − | 0.0940346i | \(-0.970024\pi\) | ||
0.995569 | − | 0.0940346i | \(-0.0299764\pi\) | |||||||
\(272\) | −1.93263 | + | 3.64211i | −0.117183 | + | 0.220835i | ||||
\(273\) | −1.68472 | + | 1.68472i | −0.101964 | + | 0.101964i | ||||
\(274\) | 2.14907 | + | 5.18831i | 0.129830 | + | 0.313437i | ||||
\(275\) | 23.0882 | + | 6.93032i | 1.39227 | + | 0.417914i | ||||
\(276\) | 0.378353 | − | 0.378353i | 0.0227742 | − | 0.0227742i | ||||
\(277\) | 2.07129 | − | 10.4131i | 0.124452 | − | 0.625662i | −0.867331 | − | 0.497732i | \(-0.834166\pi\) |
0.991783 | − | 0.127931i | \(-0.0408335\pi\) | |||||||
\(278\) | 5.58025 | − | 8.35143i | 0.334681 | − | 0.500886i | ||||
\(279\) | −18.1742 | − | 12.1436i | −1.08806 | − | 0.727018i | ||||
\(280\) | 7.26837 | + | 3.42473i | 0.434368 | + | 0.204667i | ||||
\(281\) | −16.0958 | − | 6.66711i | −0.960197 | − | 0.397727i | −0.153143 | − | 0.988204i | \(-0.548939\pi\) |
−0.807054 | + | 0.590478i | \(0.798939\pi\) | |||||||
\(282\) | −0.348113 | − | 1.75008i | −0.0207298 | − | 0.104216i | ||||
\(283\) | −2.86083 | − | 1.91155i | −0.170059 | − | 0.113630i | 0.467628 | − | 0.883925i | \(-0.345109\pi\) |
−0.637687 | + | 0.770296i | \(0.720109\pi\) | |||||||
\(284\) | 4.41337 | + | 6.60508i | 0.261885 | + | 0.391939i | ||||
\(285\) | −1.49464 | − | 0.0712442i | −0.0885347 | − | 0.00422014i | ||||
\(286\) | 1.82674 | − | 9.18365i | 0.108018 | − | 0.543041i | ||||
\(287\) | 6.95538 | − | 16.7918i | 0.410563 | − | 0.991186i | ||||
\(288\) | 2.03890 | + | 2.03890i | 0.120144 | + | 0.120144i | ||||
\(289\) | 9.52987 | + | 14.0777i | 0.560580 | + | 0.828100i | ||||
\(290\) | −3.74191 | − | 4.11650i | −0.219733 | − | 0.241729i | ||||
\(291\) | −2.01434 | + | 0.834368i | −0.118083 | + | 0.0489115i | ||||
\(292\) | 9.10053 | + | 13.6199i | 0.532568 | + | 0.797045i | ||||
\(293\) | 3.01986i | 0.176422i | 0.996102 | + | 0.0882111i | \(0.0281150\pi\) | ||||
−0.996102 | + | 0.0882111i | \(0.971885\pi\) | |||||||
\(294\) | 1.67809 | − | 1.12126i | 0.0978681 | − | 0.0653934i | ||||
\(295\) | 0.799007 | − | 0.119711i | 0.0465200 | − | 0.00696987i | ||||
\(296\) | −6.22802 | + | 9.32090i | −0.361997 | + | 0.541766i | ||||
\(297\) | 8.94672 | − | 3.70585i | 0.519141 | − | 0.215035i | ||||
\(298\) | −12.6812 | + | 5.25273i | −0.734603 | + | 0.304282i | ||||
\(299\) | −1.69113 | + | 2.53095i | −0.0978004 | + | 0.146369i | ||||
\(300\) | −1.07906 | + | 1.32268i | −0.0622996 | + | 0.0763650i | ||||
\(301\) | −14.9019 | + | 9.95714i | −0.858932 | + | 0.573920i | ||||
\(302\) | 24.3795i | 1.40288i | ||||||||
\(303\) | 0.570090 | + | 0.853200i | 0.0327508 | + | 0.0490151i | ||||
\(304\) | 1.81090 | − | 0.750101i | 0.103862 | − | 0.0430212i | ||||
\(305\) | −10.9557 | − | 0.522220i | −0.627321 | − | 0.0299022i | ||||
\(306\) | 11.3664 | − | 3.48545i | 0.649771 | − | 0.199250i | ||||
\(307\) | −9.44890 | − | 9.44890i | −0.539277 | − | 0.539277i | 0.384039 | − | 0.923317i | \(-0.374533\pi\) |
−0.923317 | + | 0.384039i | \(0.874533\pi\) | |||||||
\(308\) | −6.62953 | + | 16.0051i | −0.377752 | + | 0.911975i | ||||
\(309\) | −0.421776 | + | 2.12041i | −0.0239940 | + | 0.120626i | ||||
\(310\) | −0.807052 | + | 16.9312i | −0.0458375 | + | 0.961629i | ||||
\(311\) | 13.5248 | + | 20.2414i | 0.766923 | + | 1.14778i | 0.985118 | + | 0.171877i | \(0.0549830\pi\) |
−0.218195 | + | 0.975905i | \(0.570017\pi\) | |||||||
\(312\) | 0.551314 | + | 0.368376i | 0.0312120 | + | 0.0208552i | ||||
\(313\) | 3.69489 | + | 18.5755i | 0.208848 | + | 1.04995i | 0.932881 | + | 0.360184i | \(0.117286\pi\) |
−0.724034 | + | 0.689765i | \(0.757714\pi\) | |||||||
\(314\) | −4.67636 | − | 1.93701i | −0.263902 | − | 0.109312i | ||||
\(315\) | −7.83680 | − | 21.8022i | −0.441554 | − | 1.22842i | ||||
\(316\) | 14.2561 | + | 9.52560i | 0.801966 | + | 0.535857i | ||||
\(317\) | 3.26186 | − | 4.88172i | 0.183204 | − | 0.274185i | −0.728488 | − | 0.685059i | \(-0.759776\pi\) |
0.911692 | + | 0.410874i | \(0.134776\pi\) | |||||||
\(318\) | 0.469848 | − | 2.36209i | 0.0263478 | − | 0.132459i | ||||
\(319\) | 8.48136 | − | 8.48136i | 0.474865 | − | 0.474865i | ||||
\(320\) | 0.540159 | − | 2.16985i | 0.0301958 | − | 0.121298i | ||||
\(321\) | 0.962317 | + | 2.32324i | 0.0537113 | + | 0.129670i | ||||
\(322\) | 3.98221 | − | 3.98221i | 0.221920 | − | 0.221920i | ||||
\(323\) | 0.767864 | − | 8.04517i | 0.0427251 | − | 0.447645i | ||||
\(324\) | − | 7.96460i | − | 0.442478i | ||||||
\(325\) | 4.55270 | − | 8.57753i | 0.252539 | − | 0.475796i | ||||
\(326\) | 7.30456 | + | 1.45297i | 0.404562 | + | 0.0804724i | ||||
\(327\) | −3.09461 | −0.171132 | ||||||||
\(328\) | −4.96095 | − | 0.986794i | −0.273923 | − | 0.0544866i | ||||
\(329\) | −3.66392 | − | 18.4198i | −0.201999 | − | 1.01552i | ||||
\(330\) | −2.95936 | − | 2.18814i | −0.162908 | − | 0.120453i | ||||
\(331\) | 5.88738 | − | 14.2134i | 0.323599 | − | 0.781238i | −0.675440 | − | 0.737415i | \(-0.736046\pi\) |
0.999039 | − | 0.0438231i | \(-0.0139538\pi\) | |||||||
\(332\) | −1.13744 | − | 2.74602i | −0.0624251 | − | 0.150707i | ||||
\(333\) | 31.7028 | − | 6.30607i | 1.73730 | − | 0.345571i | ||||
\(334\) | 7.52766 | − | 1.49734i | 0.411895 | − | 0.0819311i | ||||
\(335\) | 6.13720 | − | 24.6534i | 0.335311 | − | 1.34696i | ||||
\(336\) | −0.867439 | − | 0.867439i | −0.0473227 | − | 0.0473227i | ||||
\(337\) | −2.95615 | + | 1.97524i | −0.161032 | + | 0.107598i | −0.633475 | − | 0.773763i | \(-0.718372\pi\) |
0.472443 | + | 0.881361i | \(0.343372\pi\) | |||||||
\(338\) | 8.52552 | + | 3.53138i | 0.463727 | + | 0.192082i | ||||
\(339\) | 4.85413 | 0.263640 | ||||||||
\(340\) | −6.85888 | − | 6.16083i | −0.371975 | − | 0.334118i | ||||
\(341\) | −36.5468 | −1.97912 | ||||||||
\(342\) | −5.22164 | − | 2.16288i | −0.282354 | − | 0.116955i | ||||
\(343\) | −3.25182 | + | 2.17280i | −0.175582 | + | 0.117320i | ||||
\(344\) | 3.52688 | + | 3.52688i | 0.190157 | + | 0.190157i | ||||
\(345\) | 0.616597 | + | 1.02534i | 0.0331965 | + | 0.0552024i | ||||
\(346\) | −4.65265 | + | 0.925470i | −0.250128 | + | 0.0497536i | ||||
\(347\) | −6.88437 | + | 1.36939i | −0.369573 | + | 0.0735125i | −0.376383 | − | 0.926464i | \(-0.622832\pi\) |
0.00681022 | + | 0.999977i | \(0.497832\pi\) | |||||||
\(348\) | 0.325036 | + | 0.784706i | 0.0174237 | + | 0.0420647i | ||||
\(349\) | −0.541376 | + | 1.30700i | −0.0289792 | + | 0.0699620i | −0.937707 | − | 0.347428i | \(-0.887055\pi\) |
0.908727 | + | 0.417390i | \(0.137055\pi\) | |||||||
\(350\) | −11.3572 | + | 13.9213i | −0.607069 | + | 0.744127i | ||||
\(351\) | −0.761062 | − | 3.82612i | −0.0406225 | − | 0.204223i | ||||
\(352\) | 4.72854 | + | 0.940564i | 0.252032 | + | 0.0501323i | ||||
\(353\) | 15.8188 | 0.841950 | 0.420975 | − | 0.907072i | \(-0.361688\pi\) | ||||
0.420975 | + | 0.907072i | \(0.361688\pi\) | |||||||
\(354\) | −0.120983 | − | 0.0240650i | −0.00643017 | − | 0.00127904i | ||||
\(355\) | −16.7159 | + | 6.00854i | −0.887189 | + | 0.318900i | ||||
\(356\) | − | 13.6816i | − | 0.725125i | ||||||
\(357\) | −4.83574 | + | 1.48286i | −0.255935 | + | 0.0784815i | ||||
\(358\) | 3.92416 | − | 3.92416i | 0.207399 | − | 0.207399i | ||||
\(359\) | 7.61923 | + | 18.3945i | 0.402128 | + | 0.970822i | 0.987149 | + | 0.159804i | \(0.0510863\pi\) |
−0.585021 | + | 0.811018i | \(0.698914\pi\) | |||||||
\(360\) | −5.52544 | + | 3.32277i | −0.291216 | + | 0.175126i | ||||
\(361\) | 10.7183 | − | 10.7183i | 0.564121 | − | 0.564121i | ||||
\(362\) | 0.457102 | − | 2.29801i | 0.0240247 | − | 0.120780i | ||||
\(363\) | 2.32229 | − | 3.47555i | 0.121889 | − | 0.182419i | ||||
\(364\) | 5.80263 | + | 3.87719i | 0.304140 | + | 0.203220i | ||||
\(365\) | −34.4688 | + | 12.3898i | −1.80418 | + | 0.648513i | ||||
\(366\) | 1.54713 | + | 0.640843i | 0.0808698 | + | 0.0334974i | ||||
\(367\) | −5.99119 | − | 30.1198i | −0.312738 | − | 1.57224i | −0.742846 | − | 0.669462i | \(-0.766525\pi\) |
0.430109 | − | 0.902777i | \(-0.358475\pi\) | |||||||
\(368\) | −1.30315 | − | 0.870739i | −0.0679315 | − | 0.0453904i | ||||
\(369\) | 8.10292 | + | 12.1269i | 0.421821 | + | 0.631300i | ||||
\(370\) | −16.8608 | − | 18.5486i | −0.876550 | − | 0.964297i | ||||
\(371\) | 4.94520 | − | 24.8612i | 0.256742 | − | 1.29073i | ||||
\(372\) | 0.990375 | − | 2.39098i | 0.0513486 | − | 0.123966i | ||||
\(373\) | 16.7824 | + | 16.7824i | 0.868959 | + | 0.868959i | 0.992357 | − | 0.123399i | \(-0.0393794\pi\) |
−0.123399 | + | 0.992357i | \(0.539379\pi\) | |||||||
\(374\) | 12.5642 | − | 15.4041i | 0.649677 | − | 0.796525i | ||||
\(375\) | −2.28715 | − | 3.05585i | −0.118108 | − | 0.157804i | ||||
\(376\) | −4.82876 | + | 2.00014i | −0.249025 | + | 0.103149i | ||||
\(377\) | −2.68445 | − | 4.01756i | −0.138256 | − | 0.206915i | ||||
\(378\) | 7.21748i | 0.371227i | ||||||||
\(379\) | −21.7735 | + | 14.5486i | −1.11843 | + | 0.747310i | −0.970359 | − | 0.241667i | \(-0.922306\pi\) |
−0.148070 | + | 0.988977i | \(0.547306\pi\) | |||||||
\(380\) | 0.649426 | + | 4.33455i | 0.0333149 | + | 0.222358i | ||||
\(381\) | 1.07535 | − | 1.60938i | 0.0550919 | − | 0.0824509i | ||||
\(382\) | −11.3720 | + | 4.71045i | −0.581843 | + | 0.241007i | ||||
\(383\) | −6.51188 | + | 2.69731i | −0.332742 | + | 0.137826i | −0.542798 | − | 0.839863i | \(-0.682635\pi\) |
0.210057 | + | 0.977689i | \(0.432635\pi\) | |||||||
\(384\) | −0.189672 | + | 0.283864i | −0.00967915 | + | 0.0144859i | ||||
\(385\) | −31.1476 | − | 23.0303i | −1.58743 | − | 1.17374i | ||||
\(386\) | 2.40537 | − | 1.60722i | 0.122430 | − | 0.0818051i | ||||
\(387\) | − | 14.3819i | − | 0.731075i | ||||||
\(388\) | 3.54808 | + | 5.31007i | 0.180126 | + | 0.269578i | ||||
\(389\) | −29.0794 | + | 12.0451i | −1.47438 | + | 0.610710i | −0.967854 | − | 0.251512i | \(-0.919072\pi\) |
−0.506530 | + | 0.862222i | \(0.669072\pi\) | |||||||
\(390\) | −1.09712 | + | 0.997284i | −0.0555547 | + | 0.0504994i | ||||
\(391\) | −5.68984 | + | 3.06340i | −0.287747 | + | 0.154923i | ||||
\(392\) | −4.18013 | − | 4.18013i | −0.211128 | − | 0.211128i | ||||
\(393\) | 1.13608 | − | 2.74273i | 0.0573075 | − | 0.138353i | ||||
\(394\) | −2.77782 | + | 13.9651i | −0.139945 | + | 0.703549i | ||||
\(395\) | −28.3696 | + | 25.7881i | −1.42743 | + | 1.29754i | ||||
\(396\) | −7.72331 | − | 11.5588i | −0.388111 | − | 0.580849i | ||||
\(397\) | −21.7885 | − | 14.5586i | −1.09353 | − | 0.730675i | −0.128213 | − | 0.991747i | \(-0.540924\pi\) |
−0.965319 | + | 0.261072i | \(0.915924\pi\) | |||||||
\(398\) | −2.71959 | − | 13.6723i | −0.136321 | − | 0.685330i | ||||
\(399\) | 2.22151 | + | 0.920182i | 0.111215 | + | 0.0460667i | ||||
\(400\) | 4.41646 | + | 2.34412i | 0.220823 | + | 0.117206i | ||||
\(401\) | 14.0433 | + | 9.38346i | 0.701291 | + | 0.468587i | 0.854396 | − | 0.519622i | \(-0.173927\pi\) |
−0.153105 | + | 0.988210i | \(0.548927\pi\) | |||||||
\(402\) | −2.15502 | + | 3.22521i | −0.107483 | + | 0.160859i | ||||
\(403\) | −2.87224 | + | 14.4397i | −0.143076 | + | 0.719294i | ||||
\(404\) | 2.12533 | − | 2.12533i | 0.105739 | − | 0.105739i | ||||
\(405\) | 17.2819 | + | 4.30215i | 0.858747 | + | 0.213776i | ||||
\(406\) | 3.42103 | + | 8.25910i | 0.169783 | + | 0.409892i | ||||
\(407\) | 38.2163 | − | 38.2163i | 1.89431 | − | 1.89431i | ||||
\(408\) | 0.667297 | + | 1.23941i | 0.0330361 | + | 0.0613599i | ||||
\(409\) | − | 14.1837i | − | 0.701338i | −0.936500 | − | 0.350669i | \(-0.885954\pi\) | ||
0.936500 | − | 0.350669i | \(-0.114046\pi\) | |||||||
\(410\) | 4.82090 | − | 10.2315i | 0.238087 | − | 0.505296i | ||||
\(411\) | 1.88039 | + | 0.374033i | 0.0927530 | + | 0.0184497i | ||||
\(412\) | 6.33260 | 0.311985 | ||||||||
\(413\) | −1.27336 | − | 0.253286i | −0.0626578 | − | 0.0124634i | ||||
\(414\) | 0.881650 | + | 4.43236i | 0.0433307 | + | 0.217838i | ||||
\(415\) | 6.57284 | − | 0.984778i | 0.322648 | − | 0.0483408i | ||||
\(416\) | 0.743239 | − | 1.79434i | 0.0364403 | − | 0.0879746i | ||||
\(417\) | −1.31225 | − | 3.16806i | −0.0642614 | − | 0.155141i | ||||
\(418\) | −9.26844 | + | 1.84361i | −0.453334 | + | 0.0901738i | ||||
\(419\) | −7.69999 | + | 1.53162i | −0.376169 | + | 0.0748247i | −0.379554 | − | 0.925170i | \(-0.623923\pi\) |
0.00338495 | + | 0.999994i | \(0.498923\pi\) | |||||||
\(420\) | 2.35076 | − | 1.41365i | 0.114705 | − | 0.0689792i | ||||
\(421\) | −8.33374 | − | 8.33374i | −0.406162 | − | 0.406162i | 0.474236 | − | 0.880398i | \(-0.342724\pi\) |
−0.880398 | + | 0.474236i | \(0.842724\pi\) | |||||||
\(422\) | −7.91079 | + | 5.28582i | −0.385091 | + | 0.257310i | ||||
\(423\) | 13.9235 | + | 5.76729i | 0.676983 | + | 0.280415i | ||||
\(424\) | −7.05437 | −0.342590 | ||||||||
\(425\) | 17.0729 | − | 11.5549i | 0.828159 | − | 0.560493i | ||||
\(426\) | 2.71204 | 0.131399 | ||||||||
\(427\) | 16.2837 | + | 6.74493i | 0.788024 | + | 0.326410i | ||||
\(428\) | 6.12436 | − | 4.09217i | 0.296032 | − | 0.197802i | ||||
\(429\) | −2.26043 | − | 2.26043i | −0.109134 | − | 0.109134i | ||||
\(430\) | −9.55787 | + | 5.74771i | −0.460921 | + | 0.277179i | ||||
\(431\) | −12.7486 | + | 2.53586i | −0.614080 | + | 0.122148i | −0.492324 | − | 0.870412i | \(-0.663852\pi\) |
−0.121756 | + | 0.992560i | \(0.538852\pi\) | |||||||
\(432\) | 1.97002 | − | 0.391860i | 0.0947824 | − | 0.0188534i | ||||
\(433\) | 9.02722 | + | 21.7936i | 0.433820 | + | 1.04733i | 0.978045 | + | 0.208395i | \(0.0668240\pi\) |
−0.544224 | + | 0.838940i | \(0.683176\pi\) | |||||||
\(434\) | 10.4238 | − | 25.1653i | 0.500358 | − | 1.20797i | ||||
\(435\) | −1.87826 | + | 0.281411i | −0.0900557 | + | 0.0134926i | ||||
\(436\) | 1.76839 | + | 8.89028i | 0.0846904 | + | 0.425767i | ||||
\(437\) | 3.01303 | + | 0.599328i | 0.144133 | + | 0.0286697i | ||||
\(438\) | 5.59231 | 0.267211 | ||||||||
\(439\) | 19.3108 | + | 3.84115i | 0.921652 | + | 0.183328i | 0.633041 | − | 0.774118i | \(-0.281806\pi\) |
0.288611 | + | 0.957446i | \(0.406806\pi\) | |||||||
\(440\) | −4.59504 | + | 9.75214i | −0.219060 | + | 0.464915i | ||||
\(441\) | 17.0458i | 0.811703i | ||||||||
\(442\) | −5.09876 | − | 6.17475i | −0.242523 | − | 0.293703i | ||||
\(443\) | −15.3000 | + | 15.3000i | −0.726923 | + | 0.726923i | −0.970006 | − | 0.243083i | \(-0.921841\pi\) |
0.243083 | + | 0.970006i | \(0.421841\pi\) | |||||||
\(444\) | 1.46459 | + | 3.53582i | 0.0695062 | + | 0.167803i | ||||
\(445\) | 29.6870 | + | 7.39026i | 1.40730 | + | 0.350332i | ||||
\(446\) | −0.859779 | + | 0.859779i | −0.0407117 | + | 0.0407117i | ||||
\(447\) | −0.914208 | + | 4.59603i | −0.0432406 | + | 0.217385i | ||||
\(448\) | −1.99631 | + | 2.98770i | −0.0943170 | + | 0.141155i | ||||
\(449\) | −28.1837 | − | 18.8317i | −1.33007 | − | 0.888725i | −0.331568 | − | 0.943431i | \(-0.607578\pi\) |
−0.998502 | + | 0.0547067i | \(0.982578\pi\) | |||||||
\(450\) | −4.22528 | − | 13.7842i | −0.199182 | − | 0.649792i | ||||
\(451\) | 22.5299 | + | 9.33219i | 1.06089 | + | 0.439436i | ||||
\(452\) | −2.77385 | − | 13.9451i | −0.130471 | − | 0.655922i | ||||
\(453\) | 6.92047 | + | 4.62411i | 0.325152 | + | 0.217260i | ||||
\(454\) | −9.56087 | − | 14.3089i | −0.448714 | − | 0.671548i | ||||
\(455\) | −11.5473 | + | 10.4965i | −0.541344 | + | 0.492084i | ||||
\(456\) | 0.130551 | − | 0.656323i | 0.00611360 | − | 0.0307352i | ||||
\(457\) | −2.66599 | + | 6.43627i | −0.124710 | + | 0.301076i | −0.973888 | − | 0.227031i | \(-0.927098\pi\) |
0.849178 | + | 0.528107i | \(0.177098\pi\) | |||||||
\(458\) | 7.47155 | + | 7.47155i | 0.349123 | + | 0.349123i | ||||
\(459\) | 2.38012 | − | 7.93233i | 0.111094 | − | 0.370249i | ||||
\(460\) | 2.59328 | − | 2.35730i | 0.120912 | − | 0.109910i | ||||
\(461\) | −8.56017 | + | 3.54574i | −0.398687 | + | 0.165142i | −0.573013 | − | 0.819547i | \(-0.694225\pi\) |
0.174326 | + | 0.984688i | \(0.444225\pi\) | |||||||
\(462\) | 3.28583 | + | 4.91760i | 0.152871 | + | 0.228787i | ||||
\(463\) | 3.97411i | 0.184692i | 0.995727 | + | 0.0923462i | \(0.0294366\pi\) | ||||
−0.995727 | + | 0.0923462i | \(0.970563\pi\) | |||||||
\(464\) | 2.06859 | − | 1.38219i | 0.0960318 | − | 0.0641664i | ||||
\(465\) | 4.65309 | + | 3.44047i | 0.215782 | + | 0.159548i | ||||
\(466\) | −6.83483 | + | 10.2290i | −0.316617 | + | 0.473851i | ||||
\(467\) | 17.8234 | − | 7.38269i | 0.824768 | − | 0.341630i | 0.0699388 | − | 0.997551i | \(-0.477720\pi\) |
0.754829 | + | 0.655921i | \(0.227720\pi\) | |||||||
\(468\) | −5.17387 | + | 2.14309i | −0.239162 | + | 0.0990643i | ||||
\(469\) | −22.6818 | + | 33.9457i | −1.04735 | + | 1.56747i | ||||
\(470\) | −1.73169 | − | 11.5581i | −0.0798769 | − | 0.533134i | ||||
\(471\) | −1.43682 | + | 0.960053i | −0.0662052 | + | 0.0442369i | ||||
\(472\) | 0.361315i | 0.0166309i | ||||||||
\(473\) | −13.3597 | − | 19.9943i | −0.614281 | − | 0.919337i | ||||
\(474\) | 5.40795 | − | 2.24005i | 0.248395 | − | 0.102889i | ||||
\(475\) | −9.75611 | − | 0.932197i | −0.447641 | − | 0.0427721i | ||||
\(476\) | 7.02336 | + | 13.0449i | 0.321915 | + | 0.597912i | ||||
\(477\) | 14.3832 | + | 14.3832i | 0.658561 | + | 0.658561i | ||||
\(478\) | 9.27587 | − | 22.3939i | 0.424268 | − | 1.02427i | ||||
\(479\) | −0.484550 | + | 2.43600i | −0.0221396 | + | 0.111304i | −0.990275 | − | 0.139124i | \(-0.955571\pi\) |
0.968135 | + | 0.250428i | \(0.0805713\pi\) | |||||||
\(480\) | −0.513488 | − | 0.564890i | −0.0234374 | − | 0.0257836i | ||||
\(481\) | −12.0959 | − | 18.1028i | −0.551526 | − | 0.825418i | ||||
\(482\) | 21.2053 | + | 14.1689i | 0.965874 | + | 0.645377i | ||||
\(483\) | −0.375093 | − | 1.88572i | −0.0170673 | − | 0.0858031i | ||||
\(484\) | −11.3117 | − | 4.68547i | −0.514169 | − | 0.212976i | ||||
\(485\) | −13.4386 | + | 4.83049i | −0.610214 | + | 0.219341i | ||||
\(486\) | −7.27116 | − | 4.85843i | −0.329826 | − | 0.220383i | ||||
\(487\) | −20.4787 | + | 30.6486i | −0.927979 | + | 1.38882i | −0.00667389 | + | 0.999978i | \(0.502124\pi\) |
−0.921305 | + | 0.388841i | \(0.872876\pi\) | |||||||
\(488\) | 0.956938 | − | 4.81085i | 0.0433185 | − | 0.217777i | ||||
\(489\) | 1.79791 | − | 1.79791i | 0.0813045 | − | 0.0813045i | ||||
\(490\) | 11.3282 | − | 6.81230i | 0.511755 | − | 0.307748i | ||||
\(491\) | 6.37547 | + | 15.3918i | 0.287721 | + | 0.694620i | 0.999973 | − | 0.00730348i | \(-0.00232479\pi\) |
−0.712252 | + | 0.701924i | \(0.752325\pi\) | |||||||
\(492\) | −1.22107 | + | 1.22107i | −0.0550500 | + | 0.0550500i | ||||
\(493\) | −1.03625 | − | 10.2053i | −0.0466703 | − | 0.459622i | ||||
\(494\) | 3.80688i | 0.171279i | ||||||||
\(495\) | 29.2525 | − | 10.5148i | 1.31480 | − | 0.472606i | ||||
\(496\) | −7.43482 | − | 1.47888i | −0.333833 | − | 0.0664035i | ||||
\(497\) | 28.5444 | 1.28039 | ||||||||
\(498\) | −0.995237 | − | 0.197965i | −0.0445976 | − | 0.00887102i | ||||
\(499\) | −2.15278 | − | 10.8228i | −0.0963718 | − | 0.484494i | −0.998584 | − | 0.0532010i | \(-0.983058\pi\) |
0.902212 | − | 0.431293i | \(-0.141942\pi\) | |||||||
\(500\) | −7.47198 | + | 8.31682i | −0.334157 | + | 0.371940i | ||||
\(501\) | 1.00274 | − | 2.42084i | 0.0447993 | − | 0.108155i | ||||
\(502\) | −11.3828 | − | 27.4805i | −0.508039 | − | 1.22651i | ||||
\(503\) | 19.9882 | − | 3.97591i | 0.891231 | − | 0.177277i | 0.271824 | − | 0.962347i | \(-0.412373\pi\) |
0.619407 | + | 0.785070i | \(0.287373\pi\) | |||||||
\(504\) | 10.1619 | − | 2.02133i | 0.452648 | − | 0.0900372i | ||||
\(505\) | 3.46361 | + | 5.75964i | 0.154129 | + | 0.256301i | ||||
\(506\) | 5.34302 | + | 5.34302i | 0.237526 | + | 0.237526i | ||||
\(507\) | 2.61948 | − | 1.75028i | 0.116335 | − | 0.0777328i | ||||
\(508\) | −5.23797 | − | 2.16964i | −0.232397 | − | 0.0962621i | ||||
\(509\) | 4.17100 | 0.184876 | 0.0924382 | − | 0.995718i | \(-0.470534\pi\) | ||||
0.0924382 | + | 0.995718i | \(0.470534\pi\) | |||||||
\(510\) | −3.04977 | + | 0.778452i | −0.135046 | + | 0.0344704i | ||||
\(511\) | 58.8596 | 2.60380 | ||||||||
\(512\) | 0.923880 | + | 0.382683i | 0.0408301 | + | 0.0169124i | ||||
\(513\) | −3.27357 | + | 2.18733i | −0.144532 | + | 0.0965731i | ||||
\(514\) | 5.24765 | + | 5.24765i | 0.231464 | + | 0.231464i | ||||
\(515\) | −3.42061 | + | 13.7408i | −0.150730 | + | 0.605491i | ||||
\(516\) | 1.67010 | − | 0.332205i | 0.0735223 | − | 0.0146245i | ||||
\(517\) | 24.7143 | − | 4.91597i | 1.08693 | − | 0.216204i | ||||
\(518\) | 15.4149 | + | 37.2149i | 0.677292 | + | 1.63513i | ||||
\(519\) | −0.619770 | + | 1.49626i | −0.0272049 | + | 0.0656783i | ||||
\(520\) | 3.49197 | + | 2.58194i | 0.153133 | + | 0.113226i | ||||
\(521\) | 6.75071 | + | 33.9381i | 0.295754 | + | 1.48686i | 0.787607 | + | 0.616178i | \(0.211320\pi\) |
−0.491853 | + | 0.870678i | \(0.663680\pi\) | |||||||
\(522\) | −7.03580 | − | 1.39951i | −0.307949 | − | 0.0612548i | ||||
\(523\) | −9.83988 | −0.430268 | −0.215134 | − | 0.976585i | \(-0.569019\pi\) | ||||
−0.215134 | + | 0.976585i | \(0.569019\pi\) | |||||||
\(524\) | −8.52861 | − | 1.69645i | −0.372574 | − | 0.0741096i | ||||
\(525\) | 1.79762 | + | 5.86439i | 0.0784546 | + | 0.255943i | ||||
\(526\) | 16.8827i | 0.736120i | ||||||||
\(527\) | −19.7550 | + | 24.2203i | −0.860541 | + | 1.05505i | ||||
\(528\) | 1.16386 | − | 1.16386i | 0.0506506 | − | 0.0506506i | ||||
\(529\) | 7.86170 | + | 18.9798i | 0.341813 | + | 0.825210i | ||||
\(530\) | 3.81048 | − | 15.3069i | 0.165517 | − | 0.664889i | ||||
\(531\) | 0.736687 | − | 0.736687i | 0.0319695 | − | 0.0319695i | ||||
\(532\) | 1.37406 | − | 6.90787i | 0.0595731 | − | 0.299494i | ||||
\(533\) | 5.45781 | − | 8.16819i | 0.236404 | − | 0.353804i | ||||
\(534\) | −3.88372 | − | 2.59502i | −0.168065 | − | 0.112298i | ||||
\(535\) | 5.57124 | + | 15.4993i | 0.240866 | + | 0.670095i | ||||
\(536\) | 10.4970 | + | 4.34798i | 0.453400 | + | 0.187804i | ||||
\(537\) | −0.369625 | − | 1.85823i | −0.0159505 | − | 0.0801886i | ||||
\(538\) | −19.9676 | − | 13.3419i | −0.860863 | − | 0.575210i | ||||
\(539\) | 15.8342 | + | 23.6976i | 0.682028 | + | 1.02073i | ||||
\(540\) | −0.213846 | + | 4.48630i | −0.00920246 | + | 0.193059i | ||||
\(541\) | 2.36486 | − | 11.8890i | 0.101673 | − | 0.511147i | −0.896065 | − | 0.443924i | \(-0.853586\pi\) |
0.997738 | − | 0.0672231i | \(-0.0214139\pi\) | |||||||
\(542\) | −1.18479 | + | 2.86034i | −0.0508912 | + | 0.122862i | ||||
\(543\) | −0.565622 | − | 0.565622i | −0.0242731 | − | 0.0242731i | ||||
\(544\) | 3.17929 | − | 2.62528i | 0.136311 | − | 0.112558i | ||||
\(545\) | −20.2457 | − | 0.965044i | −0.867233 | − | 0.0413379i | ||||
\(546\) | 2.20119 | − | 0.911763i | 0.0942023 | − | 0.0390199i | ||||
\(547\) | 1.86734 | + | 2.79467i | 0.0798416 | + | 0.119491i | 0.869241 | − | 0.494388i | \(-0.164608\pi\) |
−0.789399 | + | 0.613880i | \(0.789608\pi\) | |||||||
\(548\) | − | 5.61579i | − | 0.239895i | ||||||
\(549\) | −11.7600 | + | 7.85776i | −0.501903 | + | 0.335361i | ||||
\(550\) | −18.6786 | − | 15.2382i | −0.796457 | − | 0.649761i | ||||
\(551\) | −2.70923 | + | 4.05466i | −0.115417 | + | 0.172734i | ||||
\(552\) | −0.494343 | + | 0.204763i | −0.0210406 | + | 0.00871531i | ||||
\(553\) | 56.9192 | − | 23.5767i | 2.42045 | − | 1.00258i | ||||
\(554\) | −5.89855 | + | 8.82780i | −0.250605 | + | 0.375057i | ||||
\(555\) | −8.46330 | + | 1.26802i | −0.359247 | + | 0.0538243i | ||||
\(556\) | −8.35143 | + | 5.58025i | −0.354180 | + | 0.236655i | ||||
\(557\) | 8.39356i | 0.355647i | 0.984062 | + | 0.177823i | \(0.0569055\pi\) | ||||
−0.984062 | + | 0.177823i | \(0.943094\pi\) | |||||||
\(558\) | 12.1436 | + | 18.1742i | 0.514079 | + | 0.769374i | ||||
\(559\) | −8.94973 | + | 3.70710i | −0.378533 | + | 0.156794i | ||||
\(560\) | −5.40451 | − | 5.94552i | −0.228382 | − | 0.251244i | ||||
\(561\) | −1.98959 | − | 6.48823i | −0.0840007 | − | 0.273933i | ||||
\(562\) | 12.3192 | + | 12.3192i | 0.519655 | + | 0.519655i | ||||
\(563\) | −14.0372 | + | 33.8887i | −0.591596 | + | 1.42824i | 0.290365 | + | 0.956916i | \(0.406223\pi\) |
−0.881961 | + | 0.471323i | \(0.843777\pi\) | |||||||
\(564\) | −0.348113 | + | 1.75008i | −0.0146582 | + | 0.0736918i | ||||
\(565\) | 31.7570 | + | 1.51374i | 1.33603 | + | 0.0636837i | ||||
\(566\) | 1.91155 | + | 2.86083i | 0.0803483 | + | 0.120250i | ||||
\(567\) | −23.7958 | − | 15.8998i | −0.999329 | − | 0.667731i | ||||
\(568\) | −1.54977 | − | 7.79122i | −0.0650269 | − | 0.326912i | ||||
\(569\) | 11.3582 | + | 4.70471i | 0.476159 | + | 0.197232i | 0.607838 | − | 0.794061i | \(-0.292037\pi\) |
−0.131679 | + | 0.991292i | \(0.542037\pi\) | |||||||
\(570\) | 1.35360 | + | 0.637794i | 0.0566961 | + | 0.0267143i | ||||
\(571\) | −27.6155 | − | 18.4521i | −1.15567 | − | 0.772195i | −0.178352 | − | 0.983967i | \(-0.557077\pi\) |
−0.977319 | + | 0.211772i | \(0.932077\pi\) | |||||||
\(572\) | −5.20212 | + | 7.78552i | −0.217512 | + | 0.325529i | ||||
\(573\) | −0.819827 | + | 4.12155i | −0.0342488 | + | 0.172180i | ||||
\(574\) | −12.8519 | + | 12.8519i | −0.536426 | + | 0.536426i | ||||
\(575\) | 3.71419 | + | 6.90033i | 0.154893 | + | 0.287764i | ||||
\(576\) | −1.10345 | − | 2.66396i | −0.0459770 | − | 0.110998i | ||||
\(577\) | 5.54163 | − | 5.54163i | 0.230701 | − | 0.230701i | −0.582284 | − | 0.812985i | \(-0.697841\pi\) |
0.812985 | + | 0.582284i | \(0.197841\pi\) | |||||||
\(578\) | −3.41715 | − | 16.6530i | −0.142135 | − | 0.692674i | ||||
\(579\) | − | 0.987641i | − | 0.0410450i | ||||||
\(580\) | 1.88176 | + | 5.23512i | 0.0781360 | + | 0.217376i | ||||
\(581\) | −10.4750 | − | 2.08360i | −0.434575 | − | 0.0864423i | ||||
\(582\) | 2.18031 | 0.0903767 | ||||||||
\(583\) | 33.3568 | + | 6.63509i | 1.38150 | + | 0.274797i | ||||
\(584\) | −3.19568 | − | 16.0658i | −0.132238 | − | 0.664806i | ||||
\(585\) | −1.85545 | − | 12.3841i | −0.0767136 | − | 0.512020i | ||||
\(586\) | 1.15565 | − | 2.78999i | 0.0477395 | − | 0.115253i | ||||
\(587\) | −8.91145 | − | 21.5141i | −0.367815 | − | 0.887984i | −0.994108 | − | 0.108396i | \(-0.965429\pi\) |
0.626293 | − | 0.779588i | \(-0.284571\pi\) | |||||||
\(588\) | −1.97944 | + | 0.393735i | −0.0816308 | + | 0.0162374i | ||||
\(589\) | 14.5730 | − | 2.89876i | 0.600472 | − | 0.119441i | ||||
\(590\) | −0.783998 | − | 0.195168i | −0.0322767 | − | 0.00803493i | ||||
\(591\) | 3.43730 | + | 3.43730i | 0.141392 | + | 0.141392i | ||||
\(592\) | 9.32090 | − | 6.22802i | 0.383086 | − | 0.255970i | ||||
\(593\) | −42.3333 | − | 17.5350i | −1.73842 | − | 0.720077i | −0.998898 | − | 0.0469434i | \(-0.985052\pi\) |
−0.739521 | − | 0.673133i | \(-0.764948\pi\) | |||||||
\(594\) | −9.68386 | −0.397334 | ||||||||
\(595\) | −32.0992 | + | 8.19328i | −1.31594 | + | 0.335892i | ||||
\(596\) | 13.7260 | 0.562241 | ||||||||
\(597\) | −4.39690 | − | 1.82126i | −0.179953 | − | 0.0745391i | ||||
\(598\) | 2.53095 | − | 1.69113i | 0.103498 | − | 0.0691553i | ||||
\(599\) | 10.6077 | + | 10.6077i | 0.433419 | + | 0.433419i | 0.889790 | − | 0.456371i | \(-0.150851\pi\) |
−0.456371 | + | 0.889790i | \(0.650851\pi\) | |||||||
\(600\) | 1.50309 | − | 0.809058i | 0.0613634 | − | 0.0330297i | ||||
\(601\) | 14.2317 | − | 2.83086i | 0.580523 | − | 0.115473i | 0.103910 | − | 0.994587i | \(-0.466864\pi\) |
0.476613 | + | 0.879113i | \(0.341864\pi\) | |||||||
\(602\) | 17.5780 | − | 3.49648i | 0.716426 | − | 0.142506i | ||||
\(603\) | −12.5372 | − | 30.2674i | −0.510553 | − | 1.23258i | ||||
\(604\) | 9.32964 | − | 22.5237i | 0.379618 | − | 0.916478i | ||||
\(605\) | 16.2769 | − | 22.0138i | 0.661749 | − | 0.894988i | ||||
\(606\) | −0.200189 | − | 1.00642i | −0.00813212 | − | 0.0408829i | ||||
\(607\) | −37.2562 | − | 7.41071i | −1.51218 | − | 0.300792i | −0.631827 | − | 0.775109i | \(-0.717695\pi\) |
−0.880354 | + | 0.474318i | \(0.842695\pi\) | |||||||
\(608\) | −1.96011 | −0.0794929 | ||||||||
\(609\) | 2.99334 | + | 0.595412i | 0.121296 | + | 0.0241273i | ||||
\(610\) | 9.92190 | + | 4.67503i | 0.401726 | + | 0.189287i | ||||
\(611\) | − | 10.1510i | − | 0.410666i | ||||||
\(612\) | −11.8350 | − | 1.12958i | −0.478400 | − | 0.0456605i | ||||
\(613\) | −5.34975 | + | 5.34975i | −0.216075 | + | 0.216075i | −0.806842 | − | 0.590767i | \(-0.798825\pi\) |
0.590767 | + | 0.806842i | \(0.298825\pi\) | |||||||
\(614\) | 5.11371 | + | 12.3456i | 0.206372 | + | 0.498227i | ||||
\(615\) | −1.98996 | − | 3.30910i | −0.0802428 | − | 0.133436i | ||||
\(616\) | 12.2498 | − | 12.2498i | 0.493557 | − | 0.493557i | ||||
\(617\) | 0.811211 | − | 4.07823i | 0.0326581 | − | 0.164184i | −0.961015 | − | 0.276498i | \(-0.910826\pi\) |
0.993673 | + | 0.112314i | \(0.0358262\pi\) | |||||||
\(618\) | 1.20112 | − | 1.79760i | 0.0483160 | − | 0.0723100i | ||||
\(619\) | −15.1530 | − | 10.1249i | −0.609052 | − | 0.406956i | 0.212441 | − | 0.977174i | \(-0.431859\pi\) |
−0.821493 | + | 0.570218i | \(0.806859\pi\) | |||||||
\(620\) | 7.22492 | − | 15.3336i | 0.290160 | − | 0.615811i | ||||
\(621\) | 2.90844 | + | 1.20471i | 0.116712 | + | 0.0483435i | ||||
\(622\) | −4.74929 | − | 23.8763i | −0.190429 | − | 0.957352i | ||||
\(623\) | −40.8766 | − | 27.3128i | −1.63768 | − | 1.09427i | ||||
\(624\) | −0.368376 | − | 0.551314i | −0.0147468 | − | 0.0220702i | ||||
\(625\) | −14.0102 | − | 20.7054i | −0.560406 | − | 0.828218i | ||||
\(626\) | 3.69489 | − | 18.5755i | 0.147678 | − | 0.742426i | ||||
\(627\) | −1.23463 | + | 2.98066i | −0.0493063 | + | 0.119036i | ||||
\(628\) | 3.57913 | + | 3.57913i | 0.142823 | + | 0.142823i | ||||
\(629\) | −4.66926 | − | 45.9842i | −0.186176 | − | 1.83351i | ||||
\(630\) | −1.10308 | + | 23.1416i | −0.0439478 | + | 0.921985i | ||||
\(631\) | −37.0346 | + | 15.3402i | −1.47433 | + | 0.610685i | −0.967841 | − | 0.251564i | \(-0.919055\pi\) |
−0.506484 | + | 0.862249i | \(0.669055\pi\) | |||||||
\(632\) | −9.52560 | − | 14.2561i | −0.378908 | − | 0.567076i | ||||
\(633\) | 3.24816i | 0.129103i | ||||||||
\(634\) | −4.88172 | + | 3.26186i | −0.193878 | + | 0.129545i | ||||
\(635\) | 7.53712 | − | 10.1936i | 0.299101 | − | 0.404522i | ||||
\(636\) | −1.33802 | + | 2.00248i | −0.0530557 | + | 0.0794035i | ||||
\(637\) | 10.6074 | − | 4.39373i | 0.420280 | − | 0.174086i | ||||
\(638\) | −11.0814 | + | 4.59008i | −0.438718 | + | 0.181723i | ||||
\(639\) | −12.7257 | + | 19.0454i | −0.503422 | + | 0.753424i | ||||
\(640\) | −1.32941 | + | 1.79797i | −0.0525494 | + | 0.0710708i | ||||
\(641\) | −21.2435 | + | 14.1944i | −0.839067 | + | 0.560646i | −0.899197 | − | 0.437544i | \(-0.855848\pi\) |
0.0601302 | + | 0.998191i | \(0.480848\pi\) | |||||||
\(642\) | − | 2.51465i | − | 0.0992455i | ||||||
\(643\) | 9.80374 | + | 14.6723i | 0.386622 | + | 0.578621i | 0.972824 | − | 0.231544i | \(-0.0743777\pi\) |
−0.586203 | + | 0.810165i | \(0.699378\pi\) | |||||||
\(644\) | −5.20300 | + | 2.15515i | −0.205027 | + | 0.0849250i | ||||
\(645\) | −0.181291 | + | 3.80331i | −0.00713831 | + | 0.149755i | ||||
\(646\) | −3.78817 | + | 7.13892i | −0.149043 | + | 0.280877i | ||||
\(647\) | 22.3536 | + | 22.3536i | 0.878812 | + | 0.878812i | 0.993412 | − | 0.114600i | \(-0.0365585\pi\) |
−0.114600 | + | 0.993412i | \(0.536558\pi\) | |||||||
\(648\) | −3.04792 | + | 7.35833i | −0.119734 | + | 0.289062i | ||||
\(649\) | 0.339840 | − | 1.70849i | 0.0133399 | − | 0.0670642i | ||||
\(650\) | −7.48863 | + | 6.18236i | −0.293728 | + | 0.242492i | ||||
\(651\) | −5.16641 | − | 7.73208i | −0.202488 | − | 0.303044i | ||||
\(652\) | −6.19251 | − | 4.13770i | −0.242517 | − | 0.162045i | ||||
\(653\) | 4.36284 | + | 21.9335i | 0.170731 | + | 0.858323i | 0.967273 | + | 0.253739i | \(0.0816604\pi\) |
−0.796542 | + | 0.604584i | \(0.793340\pi\) | |||||||
\(654\) | 2.85904 | + | 1.18426i | 0.111797 | + | 0.0463080i | ||||
\(655\) | 8.28783 | − | 17.5894i | 0.323832 | − | 0.687275i | ||||
\(656\) | 4.20569 | + | 2.81015i | 0.164205 | + | 0.109718i | ||||
\(657\) | −26.2409 | + | 39.2723i | −1.02375 | + | 1.53216i | ||||
\(658\) | −3.66392 | + | 18.4198i | −0.142835 | + | 0.718078i | ||||
\(659\) | 25.0220 | − | 25.0220i | 0.974721 | − | 0.974721i | −0.0249676 | − | 0.999688i | \(-0.507948\pi\) |
0.999688 | + | 0.0249676i | \(0.00794825\pi\) | |||||||
\(660\) | 1.89673 | + | 3.15407i | 0.0738301 | + | 0.122772i | ||||
\(661\) | −4.80255 | − | 11.5944i | −0.186797 | − | 0.450969i | 0.802542 | − | 0.596595i | \(-0.203480\pi\) |
−0.989340 | + | 0.145626i | \(0.953480\pi\) | |||||||
\(662\) | −10.8785 | + | 10.8785i | −0.422803 | + | 0.422803i | ||||
\(663\) | −2.71988 | + | 0.276178i | −0.105631 | + | 0.0107259i | ||||
\(664\) | 2.97227i | 0.115347i | ||||||||
\(665\) | 14.2468 | + | 6.71285i | 0.552467 | + | 0.260313i | ||||
\(666\) | −31.7028 | − | 6.30607i | −1.22846 | − | 0.244355i | ||||
\(667\) | 3.89921 | 0.150978 | ||||||||
\(668\) | −7.52766 | − | 1.49734i | −0.291254 | − | 0.0579340i | ||||
\(669\) | 0.0809844 | + | 0.407136i | 0.00313104 | + | 0.0157408i | ||||
\(670\) | −15.1045 | + | 20.4282i | −0.583537 | + | 0.789209i | ||||
\(671\) | −9.04983 | + | 21.8482i | −0.349365 | + | 0.843441i | ||||
\(672\) | 0.469455 | + | 1.13336i | 0.0181096 | + | 0.0437204i | ||||
\(673\) | −15.5611 | + | 3.09529i | −0.599836 | + | 0.119315i | −0.485663 | − | 0.874146i | \(-0.661422\pi\) |
−0.114173 | + | 0.993461i | \(0.536422\pi\) | |||||||
\(674\) | 3.48702 | − | 0.693610i | 0.134315 | − | 0.0267169i | ||||
\(675\) | −9.61905 | − | 2.88733i | −0.370238 | − | 0.111133i | ||||
\(676\) | −6.52515 | − | 6.52515i | −0.250967 | − | 0.250967i | ||||
\(677\) | 21.5432 | − | 14.3947i | 0.827972 | − | 0.553233i | −0.0678245 | − | 0.997697i | \(-0.521606\pi\) |
0.895797 | + | 0.444464i | \(0.146606\pi\) | |||||||
\(678\) | −4.48463 | − | 1.85759i | −0.172231 | − | 0.0713405i | ||||
\(679\) | 22.9480 | 0.880662 | ||||||||
\(680\) | 3.97913 | + | 8.31664i | 0.152593 | + | 0.318929i | ||||
\(681\) | −5.87520 | −0.225138 | ||||||||
\(682\) | 33.7648 | + | 13.9858i | 1.29292 | + | 0.535546i | ||||
\(683\) | 2.25612 | − | 1.50749i | 0.0863282 | − | 0.0576827i | −0.511657 | − | 0.859190i | \(-0.670968\pi\) |
0.597985 | + | 0.801507i | \(0.295968\pi\) | |||||||
\(684\) | 3.99647 | + | 3.99647i | 0.152809 | + | 0.152809i | ||||
\(685\) | 12.1854 | + | 3.03342i | 0.465580 | + | 0.115901i | ||||
\(686\) | 3.83579 | − | 0.762985i | 0.146451 | − | 0.0291309i | ||||
\(687\) | 3.53805 | − | 0.703762i | 0.134985 | − | 0.0268502i | ||||
\(688\) | −1.90873 | − | 4.60809i | −0.0727698 | − | 0.175682i | ||||
\(689\) | 5.24308 | − | 12.6579i | 0.199745 | − | 0.482228i | ||||
\(690\) | −0.177281 | − | 1.18325i | −0.00674898 | − | 0.0450456i | ||||
\(691\) | 2.82377 | + | 14.1960i | 0.107421 | + | 0.540042i | 0.996594 | + | 0.0824701i | \(0.0262809\pi\) |
−0.889172 | + | 0.457572i | \(0.848719\pi\) | |||||||
\(692\) | 4.65265 | + | 0.925470i | 0.176867 | + | 0.0351811i | ||||
\(693\) | −49.9522 | −1.89753 | ||||||||
\(694\) | 6.88437 | + | 1.36939i | 0.261327 | + | 0.0519812i | ||||
\(695\) | −7.59717 | − | 21.1355i | −0.288177 | − | 0.801717i | ||||
\(696\) | − | 0.849360i | − | 0.0321949i | ||||||
\(697\) | 18.3629 | − | 9.88658i | 0.695545 | − | 0.374481i | ||||
\(698\) | 1.00033 | − | 1.00033i | 0.0378632 | − | 0.0378632i | ||||
\(699\) | 1.60728 | + | 3.88032i | 0.0607930 | + | 0.146767i | ||||
\(700\) | 15.8202 | − | 8.51542i | 0.597946 | − | 0.321852i | ||||
\(701\) | 33.9947 | − | 33.9947i | 1.28396 | − | 1.28396i | 0.345566 | − | 0.938394i | \(-0.387687\pi\) |
0.938394 | − | 0.345566i | \(-0.112313\pi\) | |||||||
\(702\) | −0.761062 | + | 3.82612i | −0.0287244 | + | 0.144407i | ||||
\(703\) | −12.2076 | + | 18.2700i | −0.460418 | + | 0.689065i | ||||
\(704\) | −4.00866 | − | 2.67850i | −0.151082 | − | 0.100950i | ||||
\(705\) | −3.60937 | − | 1.70068i | −0.135937 | − | 0.0640511i | ||||
\(706\) | −14.6147 | − | 6.05360i | −0.550031 | − | 0.227830i | ||||
\(707\) | −2.10701 | − | 10.5926i | −0.0792422 | − | 0.398377i | ||||
\(708\) | 0.102564 | + | 0.0685313i | 0.00385460 | + | 0.00257556i | ||||
\(709\) | −21.5761 | − | 32.2910i | −0.810309 | − | 1.21271i | −0.974078 | − | 0.226214i | \(-0.927365\pi\) |
0.163769 | − | 0.986499i | \(-0.447635\pi\) | |||||||
\(710\) | 17.7429 | + | 0.845740i | 0.665878 | + | 0.0317401i | ||||
\(711\) | −9.64497 | + | 48.4885i | −0.361715 | + | 1.81846i | ||||
\(712\) | −5.23574 | + | 12.6402i | −0.196217 | + | 0.473711i | ||||
\(713\) | −8.40098 | − | 8.40098i | −0.314619 | − | 0.314619i | ||||
\(714\) | 5.03511 | + | 0.480571i | 0.188434 | + | 0.0179849i | ||||
\(715\) | −14.0834 | − | 15.4932i | −0.526690 | − | 0.579414i | ||||
\(716\) | −5.12717 | + | 2.12374i | −0.191611 | + | 0.0793680i | ||||
\(717\) | −4.59746 | − | 6.88058i | −0.171695 | − | 0.256960i | ||||
\(718\) | − | 19.9100i | − | 0.743035i | ||||||
\(719\) | −6.40695 | + | 4.28098i | −0.238939 | + | 0.159654i | −0.669275 | − | 0.743015i | \(-0.733395\pi\) |
0.430336 | + | 0.902669i | \(0.358395\pi\) | |||||||
\(720\) | 6.37641 | − | 0.955348i | 0.237635 | − | 0.0356037i | ||||
\(721\) | 12.6419 | − | 18.9199i | 0.470808 | − | 0.704613i | ||||
\(722\) | −14.0041 | + | 5.80071i | −0.521180 | + | 0.215880i | ||||
\(723\) | 8.04409 | − | 3.33197i | 0.299163 | − | 0.123917i | ||||
\(724\) | −1.30172 | + | 1.94815i | −0.0483779 | + | 0.0724026i | ||||
\(725\) | −12.3758 | + | 1.25534i | −0.459627 | + | 0.0466220i | ||||
\(726\) | −3.47555 | + | 2.32229i | −0.128990 | + | 0.0861883i | ||||
\(727\) | 9.16941i | 0.340075i | 0.985438 | + | 0.170037i | \(0.0543888\pi\) | ||||
−0.985438 | + | 0.170037i | \(0.945611\pi\) | |||||||
\(728\) | −3.87719 | − | 5.80263i | −0.143698 | − | 0.215060i | ||||
\(729\) | 19.3167 | − | 8.00125i | 0.715434 | − | 0.296342i | ||||
\(730\) | 36.5864 | + | 1.74395i | 1.35412 | + | 0.0645463i | ||||
\(731\) | −20.4720 | − | 1.95393i | −0.757186 | − | 0.0722689i | ||||
\(732\) | −1.18412 | − | 1.18412i | −0.0437664 | − | 0.0437664i | ||||
\(733\) | 20.3250 | − | 49.0690i | 0.750722 | − | 1.81240i | 0.195496 | − | 0.980705i | \(-0.437368\pi\) |
0.555227 | − | 0.831699i | \(-0.312632\pi\) | |||||||
\(734\) | −5.99119 | + | 30.1198i | −0.221139 | + | 1.11174i | ||||
\(735\) | 0.214869 | − | 4.50776i | 0.00792557 | − | 0.166271i | ||||
\(736\) | 0.870739 | + | 1.30315i | 0.0320958 | + | 0.0480348i | ||||
\(737\) | −45.5457 | − | 30.4327i | −1.67770 | − | 1.12100i | ||||
\(738\) | −2.84537 | − | 14.3046i | −0.104739 | − | 0.526561i | ||||
\(739\) | 0.826766 | + | 0.342458i | 0.0304131 | + | 0.0125975i | 0.397838 | − | 0.917456i | \(-0.369761\pi\) |
−0.367425 | + | 0.930053i | \(0.619761\pi\) | |||||||
\(740\) | 8.47908 | + | 23.5890i | 0.311697 | + | 0.867150i | ||||
\(741\) | 1.08063 | + | 0.722057i | 0.0396981 | + | 0.0265254i | ||||
\(742\) | −14.0827 | + | 21.0763i | −0.516993 | + | 0.773735i | ||||
\(743\) | 6.89251 | − | 34.6510i | 0.252862 | − | 1.27122i | −0.620522 | − | 0.784189i | \(-0.713079\pi\) |
0.873384 | − | 0.487033i | \(-0.161921\pi\) | |||||||
\(744\) | −1.82998 | + | 1.82998i | −0.0670901 | + | 0.0670901i | ||||
\(745\) | −7.41425 | + | 29.7834i | −0.271637 | + | 1.09118i | ||||
\(746\) | −9.08256 | − | 21.9272i | −0.332536 | − | 0.802813i | ||||
\(747\) | 6.06018 | − | 6.06018i | 0.221730 | − | 0.221730i | ||||
\(748\) | −17.5026 | + | 9.42341i | −0.639960 | + | 0.344554i | ||||
\(749\) | − | 26.4670i | − | 0.967082i | ||||||
\(750\) | 0.943623 | + | 3.69849i | 0.0344562 | + | 0.135050i | ||||
\(751\) | −0.624091 | − | 0.124139i | −0.0227734 | − | 0.00452991i | 0.183690 | − | 0.982984i | \(-0.441196\pi\) |
−0.206464 | + | 0.978454i | \(0.566196\pi\) | |||||||
\(752\) | 5.22662 | 0.190595 | ||||||||
\(753\) | −9.95971 | − | 1.98111i | −0.362952 | − | 0.0721957i | ||||
\(754\) | 0.942653 | + | 4.73904i | 0.0343294 | + | 0.172586i | ||||
\(755\) | 43.8335 | + | 32.4103i | 1.59527 | + | 1.17953i | ||||
\(756\) | 2.76201 | − | 6.66808i | 0.100453 | − | 0.242516i | ||||
\(757\) | 10.7817 | + | 26.0293i | 0.391868 | + | 0.946052i | 0.989533 | + | 0.144307i | \(0.0460952\pi\) |
−0.597665 | + | 0.801746i | \(0.703905\pi\) | |||||||
\(758\) | 25.6836 | − | 5.10878i | 0.932870 | − | 0.185559i | ||||
\(759\) | 2.53011 | − | 0.503270i | 0.0918372 | − | 0.0182676i | ||||
\(760\) | 1.05877 | − | 4.25313i | 0.0384057 | − | 0.154277i | ||||
\(761\) | 25.9017 | + | 25.9017i | 0.938936 | + | 0.938936i | 0.998240 | − | 0.0593040i | \(-0.0188881\pi\) |
−0.0593040 | + | 0.998240i | \(0.518888\pi\) | |||||||
\(762\) | −1.60938 | + | 1.07535i | −0.0583016 | + | 0.0389559i | ||||
\(763\) | 30.0917 | + | 12.4644i | 1.08939 | + | 0.451241i | ||||
\(764\) | 12.3090 | 0.445324 | ||||||||
\(765\) | 8.84378 | − | 25.0699i | 0.319747 | − | 0.906404i | ||||
\(766\) | 7.04841 | 0.254669 | ||||||||
\(767\) | −0.648321 | − | 0.268543i | −0.0234095 | − | 0.00969654i | ||||
\(768\) | 0.283864 | − | 0.189672i | 0.0102431 | − | 0.00684419i | ||||
\(769\) | −15.4402 | − | 15.4402i | −0.556788 | − | 0.556788i | 0.371604 | − | 0.928392i | \(-0.378808\pi\) |
−0.928392 | + | 0.371604i | \(0.878808\pi\) | |||||||
\(770\) | 19.9633 | + | 33.1969i | 0.719426 | + | 1.19633i | ||||
\(771\) | 2.48495 | − | 0.494287i | 0.0894932 | − | 0.0178013i | ||||
\(772\) | −2.83733 | + | 0.564379i | −0.102118 | + | 0.0203125i | ||||
\(773\) | −12.1023 | − | 29.2176i | −0.435290 | − | 1.05088i | −0.977556 | − | 0.210676i | \(-0.932434\pi\) |
0.542266 | − | 0.840207i | \(-0.317566\pi\) | |||||||
\(774\) | −5.50373 | + | 13.2872i | −0.197828 | + | 0.477598i | ||||
\(775\) | 29.3689 | + | 23.9595i | 1.05496 | + | 0.860652i | ||||
\(776\) | −1.24592 | − | 6.26366i | −0.0447259 | − | 0.224852i | ||||
\(777\) | 13.4877 | + | 2.68288i | 0.483870 | + | 0.0962477i | ||||
\(778\) | 31.4753 | 1.12845 | ||||||||
\(779\) | −9.72400 | − | 1.93422i | −0.348398 | − | 0.0693008i | ||||
\(780\) | 1.39525 | − | 0.501522i | 0.0499579 | − | 0.0179574i | ||||
\(781\) | 38.2987i | 1.37044i | ||||||||
\(782\) | 6.42904 | − | 0.652808i | 0.229902 | − | 0.0233444i | ||||
\(783\) | −3.53353 | + | 3.53353i | −0.126278 | + | 0.126278i | ||||
\(784\) | 2.26227 | + | 5.46160i | 0.0807953 | + | 0.195057i | ||||
\(785\) | −9.69946 | + | 5.83286i | −0.346188 | + | 0.208184i | ||||
\(786\) | −2.09920 | + | 2.09920i | −0.0748759 | + | 0.0748759i | ||||
\(787\) | −5.00006 | + | 25.1370i | −0.178233 | + | 0.896038i | 0.783362 | + | 0.621566i | \(0.213503\pi\) |
−0.961595 | + | 0.274472i | \(0.911497\pi\) | |||||||
\(788\) | 7.91057 | − | 11.8390i | 0.281802 | − | 0.421747i | ||||
\(789\) | 4.79239 | + | 3.20217i | 0.170614 | + | 0.114000i | ||||
\(790\) | 36.0788 | − | 12.9685i | 1.28363 | − | 0.461399i | ||||
\(791\) | −47.2011 | − | 19.5514i | −1.67828 | − | 0.695166i | ||||
\(792\) | 2.71207 | + | 13.6345i | 0.0963691 | + | 0.484480i | ||||
\(793\) | 7.92105 | + | 5.29268i | 0.281285 | + | 0.187948i | ||||
\(794\) | 14.5586 | + | 21.7885i | 0.516665 | + | 0.773244i | ||||
\(795\) | −3.62233 | − | 3.98494i | −0.128471 | − | 0.141331i | ||||
\(796\) | −2.71959 | + | 13.6723i | −0.0963933 | + | 0.484602i | ||||
\(797\) | −17.8516 | + | 43.0976i | −0.632337 | + | 1.52660i | 0.204341 | + | 0.978900i | \(0.434495\pi\) |
−0.836678 | + | 0.547696i | \(0.815505\pi\) | |||||||
\(798\) | −1.70027 | − | 1.70027i | −0.0601890 | − | 0.0601890i | ||||
\(799\) | 10.1011 | − | 19.0359i | 0.357352 | − | 0.673441i | ||||
\(800\) | −3.18322 | − | 3.85579i | −0.112544 | − | 0.136323i | ||||
\(801\) | 36.4473 | − | 15.0970i | 1.28780 | − | 0.533425i | ||||
\(802\) | −9.38346 | − | 14.0433i | −0.331341 | − | 0.495887i | ||||
\(803\) | 78.9734i | 2.78691i | ||||||||
\(804\) | 3.22521 | − | 2.15502i | 0.113745 | − | 0.0760017i | ||||
\(805\) | −1.86590 | − | 12.4538i | −0.0657643 | − | 0.438940i | ||||
\(806\) | 8.17945 | − | 12.2414i | 0.288109 | − | 0.431185i | ||||
\(807\) | −7.57457 | + | 3.13749i | −0.266638 | + | 0.110445i | ||||
\(808\) | −2.77687 | + | 1.15022i | −0.0976900 | + | 0.0404645i | ||||
\(809\) | −17.4188 | + | 26.0690i | −0.612411 | + | 0.916537i | −0.999986 | − | 0.00530074i | \(-0.998313\pi\) |
0.387575 | + | 0.921838i | \(0.373313\pi\) | |||||||
\(810\) | −14.3201 | − | 10.5882i | −0.503156 | − | 0.372031i | ||||
\(811\) | 43.3535 | − | 28.9679i | 1.52235 | − | 1.01720i | 0.537602 | − | 0.843199i | \(-0.319330\pi\) |
0.984745 | − | 0.174001i | \(-0.0556696\pi\) | |||||||
\(812\) | − | 8.93959i | − | 0.313718i | ||||||
\(813\) | 0.587226 | + | 0.878846i | 0.0205949 | + | 0.0308225i | ||||
\(814\) | −49.9321 | + | 20.6825i | −1.75012 | + | 0.724923i | ||||
\(815\) | 12.3231 | − | 11.2018i | 0.431660 | − | 0.392381i | ||||
\(816\) | −0.142200 | − | 1.40043i | −0.00497801 | − | 0.0490248i | ||||
\(817\) | 6.91307 | + | 6.91307i | 0.241858 | + | 0.241858i | ||||
\(818\) | −5.42786 | + | 13.1040i | −0.189781 | + | 0.458171i | ||||
\(819\) | −3.92578 | + | 19.7362i | −0.137178 | + | 0.689640i | ||||
\(820\) | −8.36934 | + | 7.60777i | −0.292270 | + | 0.265675i | ||||
\(821\) | −18.5846 | − | 27.8138i | −0.648607 | − | 0.970708i | −0.999413 | − | 0.0342603i | \(-0.989092\pi\) |
0.350806 | − | 0.936448i | \(-0.385908\pi\) | |||||||
\(822\) | −1.59412 | − | 1.06516i | −0.0556013 | − | 0.0371516i | ||||
\(823\) | −3.12617 | − | 15.7163i | −0.108972 | − | 0.547837i | −0.996244 | − | 0.0865913i | \(-0.972403\pi\) |
0.887272 | − | 0.461246i | \(-0.152597\pi\) | |||||||
\(824\) | −5.85056 | − | 2.42338i | −0.203814 | − | 0.0844225i | ||||
\(825\) | −7.86839 | + | 2.41191i | −0.273942 | + | 0.0839719i | ||||
\(826\) | 1.07950 | + | 0.721298i | 0.0375606 | + | 0.0250972i | ||||
\(827\) | −10.4147 | + | 15.5868i | −0.362156 | + | 0.542005i | −0.967144 | − | 0.254230i | \(-0.918178\pi\) |
0.604988 | + | 0.796235i | \(0.293178\pi\) | |||||||
\(828\) | 0.881650 | − | 4.43236i | 0.0306395 | − | 0.154035i | ||||
\(829\) | 33.9039 | − | 33.9039i | 1.17753 | − | 1.17753i | 0.197158 | − | 0.980372i | \(-0.436829\pi\) |
0.980372 | − | 0.197158i | \(-0.0631713\pi\) | |||||||
\(830\) | −6.44937 | − | 1.60550i | −0.223861 | − | 0.0557277i | ||||
\(831\) | 1.38711 | + | 3.34877i | 0.0481182 | + | 0.116168i | ||||
\(832\) | −1.37333 | + | 1.37333i | −0.0476115 | + | 0.0476115i | ||||
\(833\) | 24.2639 | + | 2.31584i | 0.840693 | + | 0.0802392i | ||||
\(834\) | 3.42909i | 0.118740i | ||||||||
\(835\) | 7.31514 | − | 15.5251i | 0.253151 | − | 0.537267i | ||||
\(836\) | 9.26844 | + | 1.84361i | 0.320556 | + | 0.0637625i | ||||
\(837\) | 15.2262 | 0.526295 | ||||||||
\(838\) | 7.69999 | + | 1.53162i | 0.265992 | + | 0.0529090i | ||||
\(839\) | 2.83103 | + | 14.2325i | 0.0977380 | + | 0.491362i | 0.998385 | + | 0.0568105i | \(0.0180931\pi\) |
−0.900647 | + | 0.434551i | \(0.856907\pi\) | |||||||
\(840\) | −2.71280 | + | 0.406447i | −0.0936006 | + | 0.0140237i | ||||
\(841\) | 8.72920 | − | 21.0742i | 0.301007 | − | 0.726695i | ||||
\(842\) | 4.51019 | + | 10.8886i | 0.155431 | + | 0.375245i | ||||
\(843\) | 5.83359 | − | 1.16037i | 0.200920 | − | 0.0399654i | ||||
\(844\) | 9.33142 | − | 1.85613i | 0.321201 | − | 0.0638908i | ||||
\(845\) | 17.6832 | − | 10.6339i | 0.608320 | − | 0.365819i | ||||
\(846\) | −10.6566 | − | 10.6566i | −0.366380 | − | 0.366380i | ||||
\(847\) | −36.5805 | + | 24.4423i | −1.25692 | + | 0.839848i | ||||
\(848\) | 6.51739 | + | 2.69959i | 0.223808 | + | 0.0927043i | ||||
\(849\) | 1.17465 | 0.0403140 | ||||||||
\(850\) | −20.1952 | + | 4.14178i | −0.692689 | + | 0.142062i | ||||
\(851\) | 17.5695 | 0.602276 | ||||||||
\(852\) | −2.50559 | − | 1.03785i | −0.0858403 | − | 0.0355562i | ||||
\(853\) | −23.2745 | + | 15.5515i | −0.796903 | + | 0.532474i | −0.886075 | − | 0.463543i | \(-0.846578\pi\) |
0.0891716 | + | 0.996016i | \(0.471578\pi\) | |||||||
\(854\) | −12.4630 | − | 12.4630i | −0.426475 | − | 0.426475i | ||||
\(855\) | −10.8305 | + | 6.51299i | −0.370394 | + | 0.222740i | ||||
\(856\) | −7.22418 | + | 1.43698i | −0.246917 | + | 0.0491149i | ||||
\(857\) | −39.8460 | + | 7.92585i | −1.36111 | + | 0.270742i | −0.821037 | − | 0.570875i | \(-0.806604\pi\) |
−0.540075 | + | 0.841617i | \(0.681604\pi\) | |||||||
\(858\) | 1.22333 | + | 2.95339i | 0.0417639 | + | 0.100827i | ||||
\(859\) | 17.9558 | − | 43.3492i | 0.612645 | − | 1.47906i | −0.247438 | − | 0.968904i | \(-0.579589\pi\) |
0.860083 | − | 0.510153i | \(-0.170411\pi\) | |||||||
\(860\) | 11.0299 | − | 1.65255i | 0.376115 | − | 0.0563516i | ||||
\(861\) | 1.21054 | + | 6.08582i | 0.0412552 | + | 0.207404i | ||||
\(862\) | 12.7486 | + | 2.53586i | 0.434220 | + | 0.0863717i | ||||
\(863\) | −24.4153 | −0.831108 | −0.415554 | − | 0.909569i | \(-0.636412\pi\) | ||||
−0.415554 | + | 0.909569i | \(0.636412\pi\) | |||||||
\(864\) | −1.97002 | − | 0.391860i | −0.0670213 | − | 0.0133314i | ||||
\(865\) | −4.52130 | + | 9.59563i | −0.153729 | + | 0.326261i | ||||
\(866\) | − | 23.5893i | − | 0.801595i | ||||||
\(867\) | −5.37533 | − | 2.18860i | −0.182556 | − | 0.0743289i | ||||
\(868\) | −19.2607 | + | 19.2607i | −0.653750 | + | 0.653750i | ||||
\(869\) | 31.6334 | + | 76.3698i | 1.07309 | + | 2.59067i | ||||
\(870\) | 1.84298 | + | 0.458790i | 0.0624828 | + | 0.0155544i | ||||
\(871\) | −15.6035 | + | 15.6035i | −0.528704 | + | 0.528704i | ||||
\(872\) | 1.76839 | − | 8.89028i | 0.0598852 | − | 0.301063i | ||||
\(873\) | −10.2307 | + | 15.3113i | −0.346256 | + | 0.518209i | ||||
\(874\) | −2.55432 | − | 1.70674i | −0.0864011 | − | 0.0577314i | ||||
\(875\) | 9.93172 | + | 38.9270i | 0.335753 | + | 1.31597i | ||||
\(876\) | −5.16663 | − | 2.14009i | −0.174564 | − | 0.0723068i | ||||
\(877\) | 6.53853 | + | 32.8714i | 0.220790 | + | 1.10999i | 0.919049 | + | 0.394143i | \(0.128959\pi\) |
−0.698259 | + | 0.715846i | \(0.746041\pi\) | |||||||
\(878\) | −16.3709 | − | 10.9387i | −0.552490 | − | 0.369162i | ||||
\(879\) | −0.572783 | − | 0.857230i | −0.0193195 | − | 0.0289137i | ||||
\(880\) | 7.97725 | − | 7.25135i | 0.268913 | − | 0.244443i | ||||
\(881\) | 6.19893 | − | 31.1641i | 0.208847 | − | 1.04995i | −0.724035 | − | 0.689764i | \(-0.757714\pi\) |
0.932882 | − | 0.360182i | \(-0.117286\pi\) | |||||||
\(882\) | 6.52313 | − | 15.7482i | 0.219645 | − | 0.530271i | ||||
\(883\) | −21.7415 | − | 21.7415i | −0.731658 | − | 0.731658i | 0.239290 | − | 0.970948i | \(-0.423085\pi\) |
−0.970948 | + | 0.239290i | \(0.923085\pi\) | |||||||
\(884\) | 2.34766 | + | 7.65593i | 0.0789605 | + | 0.257497i | ||||
\(885\) | −0.204103 | + | 0.185531i | −0.00686086 | + | 0.00623655i | ||||
\(886\) | 19.9904 | − | 8.28028i | 0.671589 | − | 0.278181i | ||||
\(887\) | 7.81041 | + | 11.6891i | 0.262248 | + | 0.392482i | 0.939104 | − | 0.343634i | \(-0.111658\pi\) |
−0.676856 | + | 0.736116i | \(0.736658\pi\) | |||||||
\(888\) | − | 3.82715i | − | 0.128431i | ||||||
\(889\) | −16.9388 | + | 11.3182i | −0.568111 | + | 0.379599i | ||||
\(890\) | −24.5991 | − | 18.1884i | −0.824564 | − | 0.609678i | ||||
\(891\) | 21.3332 | − | 31.9274i | 0.714688 | − | 1.06961i | ||||
\(892\) | 1.12336 | − | 0.465309i | 0.0376127 | − | 0.0155797i | ||||
\(893\) | −9.46490 | + | 3.92049i | −0.316731 | + | 0.131194i | ||||
\(894\) | 2.60344 | − | 3.89633i | 0.0870722 | − | 0.130313i | ||||
\(895\) | −1.83870 | − | 12.2723i | −0.0614611 | − | 0.410218i | ||||
\(896\) | 2.98770 | − | 1.99631i | 0.0998119 | − | 0.0666922i | ||||
\(897\) | − | 1.03921i | − | 0.0346981i | ||||||
\(898\) | 18.8317 | + | 28.1837i | 0.628423 | + | 0.940502i | ||||
\(899\) | 17.4237 | − | 7.21712i | 0.581111 | − | 0.240704i | ||||
\(900\) | −1.37132 | + | 14.3519i | −0.0457107 | + | 0.478395i | ||||
\(901\) | 22.4279 | − | 18.5197i | 0.747182 | − | 0.616981i | ||||
\(902\) | −17.2436 | − | 17.2436i | −0.574150 | − | 0.574150i | ||||
\(903\) | 2.34153 | − | 5.65295i | 0.0779212 | − | 0.188118i | ||||
\(904\) | −2.77385 | + | 13.9451i | −0.0922569 | + | 0.463807i | ||||
\(905\) | −3.52406 | − | 3.87684i | −0.117144 | − | 0.128870i | ||||
\(906\) | −4.62411 | − | 6.92047i | −0.153626 | − | 0.229917i | ||||
\(907\) | 38.7100 | + | 25.8652i | 1.28534 | + | 0.858839i | 0.995173 | − | 0.0981359i | \(-0.0312880\pi\) |
0.290170 | + | 0.956975i | \(0.406288\pi\) | |||||||
\(908\) | 3.35733 | + | 16.8784i | 0.111417 | + | 0.560131i | ||||
\(909\) | 8.00696 | + | 3.31659i | 0.265574 | + | 0.110004i | ||||
\(910\) | 14.6851 | − | 5.27856i | 0.486807 | − | 0.174983i | ||||
\(911\) | −26.9087 | − | 17.9798i | −0.891524 | − | 0.595697i | 0.0232204 | − | 0.999730i | \(-0.492608\pi\) |
−0.914744 | + | 0.404033i | \(0.867608\pi\) | |||||||
\(912\) | −0.371777 | + | 0.556404i | −0.0123108 | + | 0.0184244i | ||||
\(913\) | 2.79561 | − | 14.0545i | 0.0925213 | − | 0.465136i | ||||
\(914\) | 4.92611 | − | 4.92611i | 0.162941 | − | 0.162941i | ||||
\(915\) | 3.20898 | − | 1.92975i | 0.106086 | − | 0.0637955i | ||||
\(916\) | −4.04358 | − | 9.76206i | −0.133604 | − | 0.322547i | ||||
\(917\) | −22.0942 | + | 22.0942i | −0.729616 | + | 0.729616i | ||||
\(918\) | −5.23451 | + | 6.41768i | −0.172765 | + | 0.211815i | ||||
\(919\) | 4.92062i | 0.162316i | 0.996701 | + | 0.0811581i | \(0.0258619\pi\) | ||||
−0.996701 | + | 0.0811581i | \(0.974138\pi\) | |||||||
\(920\) | −3.29798 | + | 1.18546i | −0.108731 | + | 0.0390834i | ||||
\(921\) | 4.47439 | + | 0.890012i | 0.147436 | + | 0.0293269i | ||||
\(922\) | 9.26546 | 0.305142 | ||||||||
\(923\) | 15.1319 | + | 3.00993i | 0.498073 | + | 0.0990729i | ||||
\(924\) | −1.15383 | − | 5.80070i | −0.0379583 | − | 0.190829i | ||||
\(925\) | −55.7646 | + | 5.65645i | −1.83353 | + | 0.185983i | ||||
\(926\) | 1.52082 | − | 3.67159i | 0.0499774 | − | 0.120656i | ||||
\(927\) | 6.98769 | + | 16.8698i | 0.229506 | + | 0.554076i | ||||
\(928\) | −2.44007 | + | 0.485359i | −0.0800991 | + | 0.0159327i | ||||
\(929\) | 36.2635 | − | 7.21326i | 1.18977 | − | 0.236659i | 0.439776 | − | 0.898108i | \(-0.355058\pi\) |
0.749991 | + | 0.661448i | \(0.230058\pi\) | |||||||
\(930\) | −2.98228 | − | 4.95924i | −0.0977930 | − | 0.162620i | ||||
\(931\) | −8.19351 | − | 8.19351i | −0.268531 | − | 0.268531i | ||||
\(932\) | 10.2290 | − | 6.83483i | 0.335063 | − | 0.223882i | ||||
\(933\) | −7.67843 | − | 3.18051i | −0.251380 | − | 0.104125i | ||||
\(934\) | −19.2919 | −0.631250 | ||||||||
\(935\) | −10.9931 | − | 43.0682i | −0.359513 | − | 1.40848i | ||||
\(936\) | 5.60016 | 0.183047 | ||||||||
\(937\) | −15.5299 | − | 6.43270i | −0.507340 | − | 0.210147i | 0.114306 | − | 0.993446i | \(-0.463536\pi\) |
−0.621646 | + | 0.783299i | \(0.713536\pi\) | |||||||
\(938\) | 33.9457 | − | 22.6818i | 1.10837 | − | 0.740587i | ||||
\(939\) | −4.57209 | − | 4.57209i | −0.149205 | − | 0.149205i | ||||
\(940\) | −2.82321 | + | 11.3409i | −0.0920828 | + | 0.369901i | ||||
\(941\) | −3.21281 | + | 0.639067i | −0.104735 | + | 0.0208330i | −0.247179 | − | 0.968970i | \(-0.579504\pi\) |
0.142445 | + | 0.989803i | \(0.454504\pi\) | |||||||
\(942\) | 1.69485 | − | 0.337126i | 0.0552211 | − | 0.0109842i | ||||
\(943\) | 3.03375 | + | 7.32411i | 0.0987924 | + | 0.238506i | ||||
\(944\) | 0.138269 | − | 0.333812i | 0.00450028 | − | 0.0108646i | ||||
\(945\) | 12.9768 | + | 9.59496i | 0.422135 | + | 0.312124i | ||||
\(946\) | 4.69131 | + | 23.5848i | 0.152528 | + | 0.766809i | ||||
\(947\) | −25.7442 | − | 5.12084i | −0.836574 | − | 0.166405i | −0.241829 | − | 0.970319i | \(-0.577747\pi\) |
−0.594746 | + | 0.803914i | \(0.702747\pi\) | |||||||
\(948\) | −5.85352 | −0.190114 | ||||||||
\(949\) | 31.2026 | + | 6.20658i | 1.01288 | + | 0.201474i | ||||
\(950\) | 8.65673 | + | 4.59474i | 0.280861 | + | 0.149073i | ||||
\(951\) | 2.00443i | 0.0649981i | ||||||||
\(952\) | −1.49667 | − | 14.7396i | −0.0485074 | − | 0.477715i | ||||
\(953\) | 6.27140 | − | 6.27140i | 0.203151 | − | 0.203151i | −0.598198 | − | 0.801348i | \(-0.704116\pi\) |
0.801348 | + | 0.598198i | \(0.204116\pi\) | |||||||
\(954\) | −7.78412 | − | 18.7925i | −0.252020 | − | 0.608431i | ||||
\(955\) | −6.64882 | + | 26.7086i | −0.215151 | + | 0.864270i | ||||
\(956\) | −17.1396 | + | 17.1396i | −0.554333 | + | 0.554333i | ||||
\(957\) | −0.798877 | + | 4.01623i | −0.0258240 | + | 0.129826i | ||||
\(958\) | 1.37988 | − | 2.06514i | 0.0445819 | − | 0.0667216i | ||||
\(959\) | −16.7783 | − | 11.2109i | −0.541799 | − | 0.362018i | ||||
\(960\) | 0.258227 | + | 0.718394i | 0.00833423 | + | 0.0231861i | ||||
\(961\) | −24.4492 | − | 10.1272i | −0.788682 | − | 0.326683i | ||||
\(962\) | 4.24752 | + | 21.3537i | 0.136946 | + | 0.688472i | ||||
\(963\) | 17.6593 | + | 11.7995i | 0.569062 | + | 0.380235i | ||||
\(964\) | −14.1689 | − | 21.2053i | −0.456350 | − | 0.682976i | ||||
\(965\) | 0.307993 | − | 6.46141i | 0.00991464 | − | 0.208000i | ||||
\(966\) | −0.375093 | + | 1.88572i | −0.0120684 | + | 0.0606720i | ||||
\(967\) | 5.40483 | − | 13.0484i | 0.173807 | − | 0.419608i | −0.812838 | − | 0.582490i | \(-0.802079\pi\) |
0.986646 | + | 0.162881i | \(0.0520787\pi\) | |||||||
\(968\) | 8.65762 | + | 8.65762i | 0.278266 | + | 0.278266i | ||||
\(969\) | 1.30797 | + | 2.42938i | 0.0420182 | + | 0.0780428i | ||||
\(970\) | 14.2642 | + | 0.679923i | 0.457995 | + | 0.0218310i | ||||
\(971\) | −1.56138 | + | 0.646745i | −0.0501071 | + | 0.0207550i | −0.407596 | − | 0.913162i | \(-0.633633\pi\) |
0.357489 | + | 0.933917i | \(0.383633\pi\) | |||||||
\(972\) | 4.85843 | + | 7.27116i | 0.155834 | + | 0.233222i | ||||
\(973\) | 36.0915i | 1.15704i | ||||||||
\(974\) | 30.6486 | − | 20.4787i | 0.982043 | − | 0.656180i | ||||
\(975\) | 0.334569 | + | 3.29837i | 0.0107148 | + | 0.105632i | ||||
\(976\) | −2.72513 | + | 4.07844i | −0.0872292 | + | 0.130548i | ||||
\(977\) | 2.65820 | − | 1.10106i | 0.0850435 | − | 0.0352262i | −0.339756 | − | 0.940514i | \(-0.610345\pi\) |
0.424800 | + | 0.905287i | \(0.360345\pi\) | |||||||
\(978\) | −2.34909 | + | 0.973024i | −0.0751156 | + | 0.0311139i | ||||
\(979\) | 36.6463 | − | 54.8450i | 1.17122 | − | 1.75285i | ||||
\(980\) | −13.0728 | + | 1.95864i | −0.417596 | + | 0.0625664i | ||||
\(981\) | −21.7320 | + | 14.5209i | −0.693850 | + | 0.463615i | ||||
\(982\) | − | 16.6599i | − | 0.531639i | ||||||
\(983\) | −25.3995 | − | 38.0131i | −0.810120 | − | 1.21243i | −0.974134 | − | 0.225972i | \(-0.927444\pi\) |
0.164014 | − | 0.986458i | \(-0.447556\pi\) | |||||||
\(984\) | 1.59540 | − | 0.660837i | 0.0508596 | − | 0.0210667i | ||||
\(985\) | 21.4158 | + | 23.5597i | 0.682365 | + | 0.750673i | ||||
\(986\) | −2.94802 | + | 9.82500i | −0.0938841 | + | 0.312892i | ||||
\(987\) | 4.53377 | + | 4.53377i | 0.144312 | + | 0.144312i | ||||
\(988\) | 1.45683 | − | 3.51709i | 0.0463479 | − | 0.111894i | ||||
\(989\) | 1.52507 | − | 7.66706i | 0.0484945 | − | 0.243798i | ||||
\(990\) | −31.0497 | − | 1.48003i | −0.986823 | − | 0.0470384i | ||||
\(991\) | −6.63121 | − | 9.92431i | −0.210647 | − | 0.315256i | 0.711068 | − | 0.703123i | \(-0.248212\pi\) |
−0.921715 | + | 0.387867i | \(0.873212\pi\) | |||||||
\(992\) | 6.30293 | + | 4.21149i | 0.200118 | + | 0.133715i | ||||
\(993\) | 1.02466 | + | 5.15134i | 0.0325167 | + | 0.163473i | ||||
\(994\) | −26.3716 | − | 10.9235i | −0.836457 | − | 0.346472i | ||||
\(995\) | −28.1978 | − | 13.2863i | −0.893929 | − | 0.421204i | ||||
\(996\) | 0.843721 | + | 0.563756i | 0.0267343 | + | 0.0178633i | ||||
\(997\) | 24.8887 | − | 37.2486i | 0.788234 | − | 1.17968i | −0.191914 | − | 0.981412i | \(-0.561470\pi\) |
0.980149 | − | 0.198264i | \(-0.0635305\pi\) | |||||||
\(998\) | −2.15278 | + | 10.8228i | −0.0681452 | + | 0.342589i | ||||
\(999\) | −15.9218 | + | 15.9218i | −0.503743 | + | 0.503743i |
(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 | 170.2.r.a.37.3 | yes | 32 | |
5.2 | odd | 4 | 850.2.s.c.343.2 | 32 | |||
5.3 | odd | 4 | 170.2.o.a.3.3 | ✓ | 32 | ||
5.4 | even | 2 | 850.2.v.c.207.2 | 32 | |||
17.6 | odd | 16 | 170.2.o.a.57.3 | yes | 32 | ||
85.23 | even | 16 | inner | 170.2.r.a.23.3 | yes | 32 | |
85.57 | even | 16 | 850.2.v.c.193.2 | 32 | |||
85.74 | odd | 16 | 850.2.s.c.57.2 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
170.2.o.a.3.3 | ✓ | 32 | 5.3 | odd | 4 | ||
170.2.o.a.57.3 | yes | 32 | 17.6 | odd | 16 | ||
170.2.r.a.23.3 | yes | 32 | 85.23 | even | 16 | inner | |
170.2.r.a.37.3 | yes | 32 | 1.1 | even | 1 | trivial | |
850.2.s.c.57.2 | 32 | 85.74 | odd | 16 | |||
850.2.s.c.343.2 | 32 | 5.2 | odd | 4 | |||
850.2.v.c.193.2 | 32 | 85.57 | even | 16 | |||
850.2.v.c.207.2 | 32 | 5.4 | even | 2 |