Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(43,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.u (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 85.3 | ||
Character | \(\chi\) | \(=\) | 378.85 |
Dual form | 378.2.u.e.169.3 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | + | 0.342020i | 0.664463 | + | 0.241845i | ||||
\(3\) | 0.873169 | − | 1.49585i | 0.504125 | − | 0.863631i | ||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | −0.605889 | + | 3.43617i | −0.270962 | + | 1.53670i | 0.480541 | + | 0.876972i | \(0.340440\pi\) |
−0.751503 | + | 0.659729i | \(0.770671\pi\) | |||||||
\(6\) | 1.33212 | − | 1.10700i | 0.543837 | − | 0.451931i | ||||
\(7\) | 0.766044 | − | 0.642788i | 0.289538 | − | 0.242951i | ||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | −1.47515 | − | 2.61227i | −0.491717 | − | 0.870755i | ||||
\(10\) | −1.74459 | + | 3.02172i | −0.551687 | + | 0.955551i | ||||
\(11\) | 0.791459 | + | 4.48859i | 0.238634 | + | 1.35336i | 0.834824 | + | 0.550517i | \(0.185569\pi\) |
−0.596190 | + | 0.802843i | \(0.703320\pi\) | |||||||
\(12\) | 1.63040 | − | 0.584627i | 0.470657 | − | 0.168767i | ||||
\(13\) | 5.50344 | − | 2.00309i | 1.52638 | − | 0.555556i | 0.563647 | − | 0.826016i | \(-0.309398\pi\) |
0.962731 | + | 0.270459i | \(0.0871756\pi\) | |||||||
\(14\) | 0.939693 | − | 0.342020i | 0.251143 | − | 0.0914087i | ||||
\(15\) | 4.61096 | + | 3.90668i | 1.19054 | + | 1.00870i | ||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 0.614096 | − | 1.06365i | 0.148940 | − | 0.257972i | −0.781896 | − | 0.623409i | \(-0.785747\pi\) |
0.930836 | + | 0.365437i | \(0.119080\pi\) | |||||||
\(18\) | −0.492740 | − | 2.95926i | −0.116140 | − | 0.697504i | ||||
\(19\) | −0.418950 | − | 0.725643i | −0.0961138 | − | 0.166474i | 0.813959 | − | 0.580922i | \(-0.197308\pi\) |
−0.910073 | + | 0.414448i | \(0.863975\pi\) | |||||||
\(20\) | −2.67286 | + | 2.24280i | −0.597671 | + | 0.501505i | ||||
\(21\) | −0.292629 | − | 1.70715i | −0.0638569 | − | 0.372531i | ||||
\(22\) | −0.791459 | + | 4.48859i | −0.168740 | + | 0.956970i | ||||
\(23\) | −5.66011 | − | 4.74939i | −1.18021 | − | 0.990317i | −0.999978 | − | 0.00669339i | \(-0.997869\pi\) |
−0.180236 | − | 0.983623i | \(-0.557686\pi\) | |||||||
\(24\) | 1.73203 | + | 0.00826063i | 0.353549 | + | 0.00168619i | ||||
\(25\) | −6.74169 | − | 2.45378i | −1.34834 | − | 0.490755i | ||||
\(26\) | 5.85663 | 1.14858 | ||||||||
\(27\) | −5.19562 | − | 0.0743434i | −0.999898 | − | 0.0143074i | ||||
\(28\) | 1.00000 | 0.188982 | ||||||||
\(29\) | 0.897215 | + | 0.326560i | 0.166609 | + | 0.0606406i | 0.423978 | − | 0.905673i | \(-0.360633\pi\) |
−0.257369 | + | 0.966313i | \(0.582856\pi\) | |||||||
\(30\) | 2.99672 | + | 5.24812i | 0.547124 | + | 0.958171i | ||||
\(31\) | −6.47125 | − | 5.43002i | −1.16227 | − | 0.975261i | −0.162337 | − | 0.986735i | \(-0.551903\pi\) |
−0.999934 | + | 0.0114744i | \(0.996348\pi\) | |||||||
\(32\) | −0.173648 | + | 0.984808i | −0.0306970 | + | 0.174091i | ||||
\(33\) | 7.40534 | + | 2.73539i | 1.28910 | + | 0.476170i | ||||
\(34\) | 0.940850 | − | 0.789467i | 0.161354 | − | 0.135392i | ||||
\(35\) | 1.74459 | + | 3.02172i | 0.294889 | + | 0.510763i | ||||
\(36\) | 0.549101 | − | 2.94932i | 0.0915169 | − | 0.491553i | ||||
\(37\) | −0.215229 | + | 0.372787i | −0.0353834 | + | 0.0612859i | −0.883175 | − | 0.469044i | \(-0.844599\pi\) |
0.847791 | + | 0.530330i | \(0.177932\pi\) | |||||||
\(38\) | −0.145500 | − | 0.825171i | −0.0236032 | − | 0.133860i | ||||
\(39\) | 1.80911 | − | 9.98136i | 0.289689 | − | 1.59830i | ||||
\(40\) | −3.27875 | + | 1.19337i | −0.518417 | + | 0.188688i | ||||
\(41\) | 6.55650 | − | 2.38637i | 1.02395 | − | 0.372689i | 0.225178 | − | 0.974318i | \(-0.427704\pi\) |
0.798776 | + | 0.601629i | \(0.205481\pi\) | |||||||
\(42\) | 0.308899 | − | 1.70428i | 0.0476642 | − | 0.262977i | ||||
\(43\) | 1.23170 | + | 6.98532i | 0.187832 | + | 1.06525i | 0.922262 | + | 0.386566i | \(0.126339\pi\) |
−0.734429 | + | 0.678685i | \(0.762550\pi\) | |||||||
\(44\) | −2.27891 | + | 3.94720i | −0.343559 | + | 0.595062i | ||||
\(45\) | 9.86996 | − | 3.48612i | 1.47133 | − | 0.519680i | ||||
\(46\) | −3.69437 | − | 6.39884i | −0.544705 | − | 0.943457i | ||||
\(47\) | −6.64681 | + | 5.57734i | −0.969537 | + | 0.813538i | −0.982478 | − | 0.186378i | \(-0.940325\pi\) |
0.0129410 | + | 0.999916i | \(0.495881\pi\) | |||||||
\(48\) | 1.62475 | + | 0.600152i | 0.234513 | + | 0.0866245i | ||||
\(49\) | 0.173648 | − | 0.984808i | 0.0248069 | − | 0.140687i | ||||
\(50\) | −5.49588 | − | 4.61159i | −0.777234 | − | 0.652177i | ||||
\(51\) | −1.05485 | − | 1.84734i | −0.147708 | − | 0.258679i | ||||
\(52\) | 5.50344 | + | 2.00309i | 0.763189 | + | 0.277778i | ||||
\(53\) | −7.79142 | −1.07023 | −0.535117 | − | 0.844778i | \(-0.679732\pi\) | ||||
−0.535117 | + | 0.844778i | \(0.679732\pi\) | |||||||
\(54\) | −4.85686 | − | 1.84687i | −0.660935 | − | 0.251327i | ||||
\(55\) | −15.9031 | −2.14437 | ||||||||
\(56\) | 0.939693 | + | 0.342020i | 0.125572 | + | 0.0457044i | ||||
\(57\) | −1.45127 | − | 0.00692158i | −0.192225 | − | 0.000916786i | ||||
\(58\) | 0.731416 | + | 0.613731i | 0.0960397 | + | 0.0805869i | ||||
\(59\) | 1.92214 | − | 10.9010i | 0.250241 | − | 1.41919i | −0.557757 | − | 0.830004i | \(-0.688338\pi\) |
0.807998 | − | 0.589185i | \(-0.200551\pi\) | |||||||
\(60\) | 1.02103 | + | 5.95656i | 0.131815 | + | 0.768988i | ||||
\(61\) | 8.16278 | − | 6.84939i | 1.04514 | − | 0.876974i | 0.0525632 | − | 0.998618i | \(-0.483261\pi\) |
0.992574 | + | 0.121644i | \(0.0388165\pi\) | |||||||
\(62\) | −4.22381 | − | 7.31585i | −0.536424 | − | 0.929114i | ||||
\(63\) | −2.80916 | − | 1.05290i | −0.353921 | − | 0.132653i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 3.54847 | + | 20.1244i | 0.440134 | + | 2.49612i | ||||
\(66\) | 6.02319 | + | 5.10320i | 0.741403 | + | 0.628161i | ||||
\(67\) | −13.7773 | + | 5.01453i | −1.68316 | + | 0.612622i | −0.993738 | − | 0.111734i | \(-0.964360\pi\) |
−0.689426 | + | 0.724356i | \(0.742137\pi\) | |||||||
\(68\) | 1.15412 | − | 0.420066i | 0.139958 | − | 0.0509405i | ||||
\(69\) | −12.0466 | + | 4.31966i | −1.45024 | + | 0.520026i | ||||
\(70\) | 0.605889 | + | 3.43617i | 0.0724176 | + | 0.410701i | ||||
\(71\) | 0.0121983 | − | 0.0211281i | 0.00144767 | − | 0.00250745i | −0.865301 | − | 0.501253i | \(-0.832873\pi\) |
0.866748 | + | 0.498746i | \(0.166206\pi\) | |||||||
\(72\) | 1.52471 | − | 2.58365i | 0.179689 | − | 0.304486i | ||||
\(73\) | 1.20574 | + | 2.08840i | 0.141121 | + | 0.244428i | 0.927919 | − | 0.372782i | \(-0.121596\pi\) |
−0.786798 | + | 0.617210i | \(0.788263\pi\) | |||||||
\(74\) | −0.329750 | + | 0.276693i | −0.0383326 | + | 0.0321649i | ||||
\(75\) | −9.55712 | + | 7.94202i | −1.10356 | + | 0.917065i | ||||
\(76\) | 0.145500 | − | 0.825171i | 0.0166900 | − | 0.0946536i | ||||
\(77\) | 3.49150 | + | 2.92972i | 0.397893 | + | 0.333872i | ||||
\(78\) | 5.11383 | − | 8.76066i | 0.579028 | − | 0.991950i | ||||
\(79\) | −1.95673 | − | 0.712191i | −0.220149 | − | 0.0801278i | 0.229591 | − | 0.973287i | \(-0.426261\pi\) |
−0.449740 | + | 0.893159i | \(0.648483\pi\) | |||||||
\(80\) | −3.48918 | −0.390102 | ||||||||
\(81\) | −4.64786 | + | 7.70697i | −0.516429 | + | 0.856330i | ||||
\(82\) | 6.97728 | 0.770512 | ||||||||
\(83\) | 15.8118 | + | 5.75502i | 1.73557 | + | 0.631695i | 0.999002 | − | 0.0446700i | \(-0.0142236\pi\) |
0.736566 | + | 0.676365i | \(0.236446\pi\) | |||||||
\(84\) | 0.873169 | − | 1.49585i | 0.0952706 | − | 0.163211i | ||||
\(85\) | 3.28279 | + | 2.75459i | 0.356069 | + | 0.298777i | ||||
\(86\) | −1.23170 | + | 6.98532i | −0.132818 | + | 0.753246i | ||||
\(87\) | 1.27191 | − | 1.05696i | 0.136363 | − | 0.113318i | ||||
\(88\) | −3.49150 | + | 2.92972i | −0.372195 | + | 0.312309i | ||||
\(89\) | −3.51410 | − | 6.08660i | −0.372494 | − | 0.645179i | 0.617455 | − | 0.786607i | \(-0.288164\pi\) |
−0.989949 | + | 0.141428i | \(0.954831\pi\) | |||||||
\(90\) | 10.4671 | + | 0.0998439i | 1.10332 | + | 0.0105245i | ||||
\(91\) | 2.92832 | − | 5.07199i | 0.306971 | − | 0.531689i | ||||
\(92\) | −1.28304 | − | 7.27649i | −0.133766 | − | 0.758627i | ||||
\(93\) | −13.7730 | + | 4.93871i | −1.42819 | + | 0.512120i | ||||
\(94\) | −8.15352 | + | 2.96764i | −0.840971 | + | 0.306089i | ||||
\(95\) | 2.74727 | − | 0.999925i | 0.281864 | − | 0.102590i | ||||
\(96\) | 1.32150 | + | 1.11966i | 0.134875 | + | 0.114274i | ||||
\(97\) | −2.34715 | − | 13.3113i | −0.238317 | − | 1.35156i | −0.835515 | − | 0.549468i | \(-0.814831\pi\) |
0.597198 | − | 0.802094i | \(-0.296281\pi\) | |||||||
\(98\) | 0.500000 | − | 0.866025i | 0.0505076 | − | 0.0874818i | ||||
\(99\) | 10.5579 | − | 8.68884i | 1.06110 | − | 0.873261i | ||||
\(100\) | −3.58718 | − | 6.21318i | −0.358718 | − | 0.621318i | ||||
\(101\) | −6.54854 | + | 5.49488i | −0.651604 | + | 0.546761i | −0.907557 | − | 0.419928i | \(-0.862055\pi\) |
0.255953 | + | 0.966689i | \(0.417611\pi\) | |||||||
\(102\) | −0.359405 | − | 2.09671i | −0.0355864 | − | 0.207605i | ||||
\(103\) | 1.56684 | − | 8.88600i | 0.154385 | − | 0.875563i | −0.804960 | − | 0.593329i | \(-0.797813\pi\) |
0.959345 | − | 0.282234i | \(-0.0910756\pi\) | |||||||
\(104\) | 4.48644 | + | 3.76457i | 0.439932 | + | 0.369147i | ||||
\(105\) | 6.04336 | + | 0.0288228i | 0.589772 | + | 0.00281282i | ||||
\(106\) | −7.32154 | − | 2.66482i | −0.711131 | − | 0.258830i | ||||
\(107\) | 2.48999 | 0.240716 | 0.120358 | − | 0.992731i | \(-0.461596\pi\) | ||||
0.120358 | + | 0.992731i | \(0.461596\pi\) | |||||||
\(108\) | −3.93229 | − | 3.39663i | −0.378385 | − | 0.326841i | ||||
\(109\) | −1.02333 | −0.0980171 | −0.0490086 | − | 0.998798i | \(-0.515606\pi\) | ||||
−0.0490086 | + | 0.998798i | \(0.515606\pi\) | |||||||
\(110\) | −14.9440 | − | 5.43917i | −1.42485 | − | 0.518605i | ||||
\(111\) | 0.369704 | + | 0.647457i | 0.0350907 | + | 0.0614539i | ||||
\(112\) | 0.766044 | + | 0.642788i | 0.0723844 | + | 0.0607377i | ||||
\(113\) | −1.28893 | + | 7.30990i | −0.121253 | + | 0.687657i | 0.862211 | + | 0.506550i | \(0.169079\pi\) |
−0.983463 | + | 0.181108i | \(0.942032\pi\) | |||||||
\(114\) | −1.36138 | − | 0.502868i | −0.127505 | − | 0.0470979i | ||||
\(115\) | 19.7491 | − | 16.5715i | 1.84161 | − | 1.54530i | ||||
\(116\) | 0.477398 | + | 0.826878i | 0.0443253 | + | 0.0767737i | ||||
\(117\) | −13.3510 | − | 11.4216i | −1.23430 | − | 1.05593i | ||||
\(118\) | 5.53458 | − | 9.58618i | 0.509499 | − | 0.882479i | ||||
\(119\) | −0.213273 | − | 1.20953i | −0.0195507 | − | 0.110878i | ||||
\(120\) | −1.07780 | + | 5.94655i | −0.0983896 | + | 0.542843i | ||||
\(121\) | −9.18438 | + | 3.34284i | −0.834943 | + | 0.303895i | ||||
\(122\) | 10.0131 | − | 3.64448i | 0.906546 | − | 0.329956i | ||||
\(123\) | 2.15528 | − | 11.8913i | 0.194335 | − | 1.07220i | ||||
\(124\) | −1.46691 | − | 8.31928i | −0.131733 | − | 0.747093i | ||||
\(125\) | 3.79336 | − | 6.57029i | 0.339288 | − | 0.587665i | ||||
\(126\) | −2.27964 | − | 1.95020i | −0.203086 | − | 0.173737i | ||||
\(127\) | −3.30173 | − | 5.71876i | −0.292981 | − | 0.507458i | 0.681532 | − | 0.731788i | \(-0.261314\pi\) |
−0.974513 | + | 0.224330i | \(0.927981\pi\) | |||||||
\(128\) | −0.766044 | + | 0.642788i | −0.0677094 | + | 0.0568149i | ||||
\(129\) | 11.5245 | + | 4.25692i | 1.01467 | + | 0.374801i | ||||
\(130\) | −3.54847 | + | 20.1244i | −0.311222 | + | 1.76503i | ||||
\(131\) | −7.48189 | − | 6.27805i | −0.653696 | − | 0.548516i | 0.254494 | − | 0.967074i | \(-0.418091\pi\) |
−0.908190 | + | 0.418558i | \(0.862535\pi\) | |||||||
\(132\) | 3.91455 | + | 6.85549i | 0.340717 | + | 0.596694i | ||||
\(133\) | −0.787369 | − | 0.286579i | −0.0682736 | − | 0.0248495i | ||||
\(134\) | −14.6615 | −1.26656 | ||||||||
\(135\) | 3.40343 | − | 17.8080i | 0.292920 | − | 1.53267i | ||||
\(136\) | 1.22819 | 0.105317 | ||||||||
\(137\) | 14.2949 | + | 5.20293i | 1.22130 | + | 0.444516i | 0.870609 | − | 0.491975i | \(-0.163725\pi\) |
0.350690 | + | 0.936492i | \(0.385947\pi\) | |||||||
\(138\) | −12.7975 | − | 0.0610356i | −1.08940 | − | 0.00519570i | ||||
\(139\) | 9.21108 | + | 7.72901i | 0.781274 | + | 0.655566i | 0.943569 | − | 0.331176i | \(-0.107445\pi\) |
−0.162295 | + | 0.986742i | \(0.551890\pi\) | |||||||
\(140\) | −0.605889 | + | 3.43617i | −0.0512070 | + | 0.290409i | ||||
\(141\) | 2.53908 | + | 14.8126i | 0.213829 | + | 1.24745i | ||||
\(142\) | 0.0186889 | − | 0.0156819i | 0.00156834 | − | 0.00131599i | ||||
\(143\) | 13.3468 | + | 23.1173i | 1.11611 | + | 1.93316i | ||||
\(144\) | 2.31642 | − | 1.90635i | 0.193035 | − | 0.158863i | ||||
\(145\) | −1.66573 | + | 2.88512i | −0.138331 | + | 0.239596i | ||||
\(146\) | 0.418748 | + | 2.37484i | 0.0346558 | + | 0.196543i | ||||
\(147\) | −1.32150 | − | 1.11966i | −0.108996 | − | 0.0923477i | ||||
\(148\) | −0.404498 | + | 0.147225i | −0.0332495 | + | 0.0121018i | ||||
\(149\) | 2.58540 | − | 0.941009i | 0.211804 | − | 0.0770904i | −0.233939 | − | 0.972251i | \(-0.575162\pi\) |
0.445743 | + | 0.895161i | \(0.352939\pi\) | |||||||
\(150\) | −11.6971 | + | 4.19432i | −0.955063 | + | 0.342465i | ||||
\(151\) | 0.411684 | + | 2.33477i | 0.0335023 | + | 0.190001i | 0.996966 | − | 0.0778377i | \(-0.0248016\pi\) |
−0.963464 | + | 0.267839i | \(0.913690\pi\) | |||||||
\(152\) | 0.418950 | − | 0.725643i | 0.0339814 | − | 0.0588574i | ||||
\(153\) | −3.68441 | − | 0.0351451i | −0.297867 | − | 0.00284131i | ||||
\(154\) | 2.27891 | + | 3.94720i | 0.183640 | + | 0.318074i | ||||
\(155\) | 22.5793 | − | 18.9463i | 1.81362 | − | 1.52180i | ||||
\(156\) | 7.80176 | − | 6.48329i | 0.624640 | − | 0.519079i | ||||
\(157\) | −1.38428 | + | 7.85064i | −0.110478 | + | 0.626550i | 0.878413 | + | 0.477903i | \(0.158603\pi\) |
−0.988890 | + | 0.148647i | \(0.952508\pi\) | |||||||
\(158\) | −1.59514 | − | 1.33848i | −0.126903 | − | 0.106484i | ||||
\(159\) | −6.80323 | + | 11.6548i | −0.539531 | + | 0.924287i | ||||
\(160\) | −3.27875 | − | 1.19337i | −0.259208 | − | 0.0943441i | ||||
\(161\) | −7.38874 | −0.582315 | ||||||||
\(162\) | −7.00350 | + | 5.65252i | −0.550247 | + | 0.444104i | ||||
\(163\) | 2.89741 | 0.226942 | 0.113471 | − | 0.993541i | \(-0.463803\pi\) | ||||
0.113471 | + | 0.993541i | \(0.463803\pi\) | |||||||
\(164\) | 6.55650 | + | 2.38637i | 0.511977 | + | 0.186344i | ||||
\(165\) | −13.8861 | + | 23.7887i | −1.08103 | + | 1.85194i | ||||
\(166\) | 12.8899 | + | 10.8159i | 1.00045 | + | 0.839476i | ||||
\(167\) | −0.790091 | + | 4.48083i | −0.0611391 | + | 0.346737i | 0.938858 | + | 0.344305i | \(0.111885\pi\) |
−0.999997 | + | 0.00243227i | \(0.999226\pi\) | |||||||
\(168\) | 1.33212 | − | 1.10700i | 0.102775 | − | 0.0854069i | ||||
\(169\) | 16.3169 | − | 13.6915i | 1.25514 | − | 1.05319i | ||||
\(170\) | 2.14269 | + | 3.71125i | 0.164337 | + | 0.284640i | ||||
\(171\) | −1.27756 | + | 2.16484i | −0.0976973 | + | 0.165550i | ||||
\(172\) | −3.54654 | + | 6.14278i | −0.270421 | + | 0.468383i | ||||
\(173\) | 1.59882 | + | 9.06736i | 0.121556 | + | 0.689379i | 0.983294 | + | 0.182025i | \(0.0582652\pi\) |
−0.861738 | + | 0.507354i | \(0.830624\pi\) | |||||||
\(174\) | 1.55670 | − | 0.558200i | 0.118013 | − | 0.0423170i | ||||
\(175\) | −6.74169 | + | 2.45378i | −0.509624 | + | 0.185488i | ||||
\(176\) | −4.28296 | + | 1.55887i | −0.322840 | + | 0.117504i | ||||
\(177\) | −14.6279 | − | 12.3937i | −1.09950 | − | 0.931564i | ||||
\(178\) | −1.22043 | − | 6.92143i | −0.0914754 | − | 0.518783i | ||||
\(179\) | 4.47684 | − | 7.75412i | 0.334615 | − | 0.579570i | −0.648796 | − | 0.760963i | \(-0.724727\pi\) |
0.983411 | + | 0.181392i | \(0.0580604\pi\) | |||||||
\(180\) | 9.80167 | + | 3.67377i | 0.730573 | + | 0.273826i | ||||
\(181\) | 8.20062 | + | 14.2039i | 0.609547 | + | 1.05577i | 0.991315 | + | 0.131508i | \(0.0419820\pi\) |
−0.381768 | + | 0.924258i | \(0.624685\pi\) | |||||||
\(182\) | 4.48644 | − | 3.76457i | 0.332557 | − | 0.279049i | ||||
\(183\) | −3.11818 | − | 18.1910i | −0.230503 | − | 1.34472i | ||||
\(184\) | 1.28304 | − | 7.27649i | 0.0945871 | − | 0.536430i | ||||
\(185\) | −1.15056 | − | 0.965431i | −0.0845905 | − | 0.0709799i | ||||
\(186\) | −14.6315 | − | 0.0697826i | −1.07284 | − | 0.00511671i | ||||
\(187\) | 5.26030 | + | 1.91459i | 0.384671 | + | 0.140009i | ||||
\(188\) | −8.67680 | −0.632820 | ||||||||
\(189\) | −4.02786 | + | 3.28273i | −0.292984 | + | 0.238783i | ||||
\(190\) | 2.92358 | 0.212099 | ||||||||
\(191\) | 1.65647 | + | 0.602906i | 0.119858 | + | 0.0436248i | 0.401253 | − | 0.915967i | \(-0.368575\pi\) |
−0.281395 | + | 0.959592i | \(0.590797\pi\) | |||||||
\(192\) | 0.858862 | + | 1.50411i | 0.0619830 | + | 0.108550i | ||||
\(193\) | 4.80848 | + | 4.03479i | 0.346122 | + | 0.290431i | 0.799231 | − | 0.601025i | \(-0.205241\pi\) |
−0.453109 | + | 0.891455i | \(0.649685\pi\) | |||||||
\(194\) | 2.34715 | − | 13.3113i | 0.168515 | − | 0.955698i | ||||
\(195\) | 33.2015 | + | 12.2640i | 2.37761 | + | 0.878244i | ||||
\(196\) | 0.766044 | − | 0.642788i | 0.0547175 | − | 0.0459134i | ||||
\(197\) | −10.0278 | − | 17.3687i | −0.714455 | − | 1.23747i | −0.963169 | − | 0.268895i | \(-0.913342\pi\) |
0.248715 | − | 0.968577i | \(-0.419992\pi\) | |||||||
\(198\) | 12.8929 | − | 4.55384i | 0.916258 | − | 0.323627i | ||||
\(199\) | −5.22507 | + | 9.05009i | −0.370396 | + | 0.641544i | −0.989626 | − | 0.143665i | \(-0.954111\pi\) |
0.619231 | + | 0.785209i | \(0.287445\pi\) | |||||||
\(200\) | −1.24581 | − | 7.06536i | −0.0880924 | − | 0.499597i | ||||
\(201\) | −4.52892 | + | 24.9873i | −0.319446 | + | 1.76247i | ||||
\(202\) | −8.03298 | + | 2.92376i | −0.565198 | + | 0.205715i | ||||
\(203\) | 0.897215 | − | 0.326560i | 0.0629722 | − | 0.0229200i | ||||
\(204\) | 0.379388 | − | 2.09319i | 0.0265624 | − | 0.146552i | ||||
\(205\) | 4.22746 | + | 23.9751i | 0.295259 | + | 1.67450i | ||||
\(206\) | 4.51154 | − | 7.81422i | 0.314334 | − | 0.544442i | ||||
\(207\) | −4.05717 | + | 21.7918i | −0.281993 | + | 1.51463i | ||||
\(208\) | 2.92832 | + | 5.07199i | 0.203042 | + | 0.351680i | ||||
\(209\) | 2.92553 | − | 2.45481i | 0.202363 | − | 0.169803i | ||||
\(210\) | 5.66905 | + | 2.09404i | 0.391201 | + | 0.144502i | ||||
\(211\) | −3.46152 | + | 19.6313i | −0.238301 | + | 1.35147i | 0.597248 | + | 0.802056i | \(0.296261\pi\) |
−0.835549 | + | 0.549415i | \(0.814850\pi\) | |||||||
\(212\) | −5.96857 | − | 5.00823i | −0.409923 | − | 0.343967i | ||||
\(213\) | −0.0209533 | − | 0.0366953i | −0.00143570 | − | 0.00251432i | ||||
\(214\) | 2.33982 | + | 0.851625i | 0.159947 | + | 0.0582159i | ||||
\(215\) | −24.7490 | −1.68787 | ||||||||
\(216\) | −2.53343 | − | 4.53671i | −0.172378 | − | 0.308684i | ||||
\(217\) | −8.44762 | −0.573462 | ||||||||
\(218\) | −0.961614 | − | 0.349999i | −0.0651287 | − | 0.0237049i | ||||
\(219\) | 4.17674 | + | 0.0199203i | 0.282238 | + | 0.00134609i | ||||
\(220\) | −12.1825 | − | 10.2223i | −0.821341 | − | 0.689187i | ||||
\(221\) | 1.24906 | − | 7.08379i | 0.0840211 | − | 0.476507i | ||||
\(222\) | 0.125964 | + | 0.734857i | 0.00845418 | + | 0.0493204i | ||||
\(223\) | −3.78851 | + | 3.17894i | −0.253698 | + | 0.212878i | −0.760763 | − | 0.649030i | \(-0.775175\pi\) |
0.507065 | + | 0.861908i | \(0.330730\pi\) | |||||||
\(224\) | 0.500000 | + | 0.866025i | 0.0334077 | + | 0.0578638i | ||||
\(225\) | 3.53510 | + | 21.2308i | 0.235673 | + | 1.41539i | ||||
\(226\) | −3.71133 | + | 6.42822i | −0.246874 | + | 0.427599i | ||||
\(227\) | −0.785748 | − | 4.45620i | −0.0521519 | − | 0.295768i | 0.947565 | − | 0.319563i | \(-0.103536\pi\) |
−0.999717 | + | 0.0237950i | \(0.992425\pi\) | |||||||
\(228\) | −1.10729 | − | 0.938161i | −0.0733320 | − | 0.0621312i | ||||
\(229\) | 16.4995 | − | 6.00532i | 1.09032 | − | 0.396843i | 0.266578 | − | 0.963813i | \(-0.414107\pi\) |
0.823738 | + | 0.566971i | \(0.191885\pi\) | |||||||
\(230\) | 24.2259 | − | 8.81750i | 1.59741 | − | 0.581408i | ||||
\(231\) | 7.43110 | − | 2.66463i | 0.488930 | − | 0.175320i | ||||
\(232\) | 0.165799 | + | 0.940291i | 0.0108852 | + | 0.0617331i | ||||
\(233\) | 0.652915 | − | 1.13088i | 0.0427739 | − | 0.0740866i | −0.843846 | − | 0.536586i | \(-0.819714\pi\) |
0.886620 | + | 0.462499i | \(0.153047\pi\) | |||||||
\(234\) | −8.63942 | − | 15.2991i | −0.564776 | − | 1.00013i | ||||
\(235\) | −15.1374 | − | 26.2188i | −0.987458 | − | 1.71033i | ||||
\(236\) | 8.47947 | − | 7.11512i | 0.551966 | − | 0.463155i | ||||
\(237\) | −2.77389 | + | 2.30512i | −0.180183 | + | 0.149733i | ||||
\(238\) | 0.213273 | − | 1.20953i | 0.0138245 | − | 0.0784024i | ||||
\(239\) | 4.82758 | + | 4.05082i | 0.312270 | + | 0.262026i | 0.785429 | − | 0.618951i | \(-0.212442\pi\) |
−0.473160 | + | 0.880977i | \(0.656887\pi\) | |||||||
\(240\) | −3.04664 | + | 5.21930i | −0.196660 | + | 0.336904i | ||||
\(241\) | 22.4922 | + | 8.18649i | 1.44885 | + | 0.527338i | 0.942270 | − | 0.334855i | \(-0.108687\pi\) |
0.506579 | + | 0.862193i | \(0.330910\pi\) | |||||||
\(242\) | −9.77381 | −0.628284 | ||||||||
\(243\) | 7.47012 | + | 13.6820i | 0.479208 | + | 0.877701i | ||||
\(244\) | 10.6558 | 0.682165 | ||||||||
\(245\) | 3.27875 | + | 1.19337i | 0.209472 | + | 0.0762415i | ||||
\(246\) | 6.09235 | − | 10.4370i | 0.388434 | − | 0.665438i | ||||
\(247\) | −3.75919 | − | 3.15434i | −0.239192 | − | 0.200706i | ||||
\(248\) | 1.46691 | − | 8.31928i | 0.0931491 | − | 0.528275i | ||||
\(249\) | 22.4150 | − | 18.6270i | 1.42049 | − | 1.18044i | ||||
\(250\) | 5.81177 | − | 4.87665i | 0.367568 | − | 0.308426i | ||||
\(251\) | −6.86570 | − | 11.8917i | −0.433359 | − | 0.750600i | 0.563801 | − | 0.825911i | \(-0.309339\pi\) |
−0.997160 | + | 0.0753105i | \(0.976005\pi\) | |||||||
\(252\) | −1.47515 | − | 2.61227i | −0.0929257 | − | 0.164557i | ||||
\(253\) | 16.8383 | − | 29.1648i | 1.05862 | − | 1.83358i | ||||
\(254\) | −1.14668 | − | 6.50313i | −0.0719489 | − | 0.408043i | ||||
\(255\) | 6.98689 | − | 2.50535i | 0.437536 | − | 0.156891i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −9.58938 | + | 3.49025i | −0.598169 | + | 0.217716i | −0.623319 | − | 0.781968i | \(-0.714216\pi\) |
0.0251494 | + | 0.999684i | \(0.491994\pi\) | |||||||
\(258\) | 9.37352 | + | 7.94181i | 0.583570 | + | 0.494435i | ||||
\(259\) | 0.0747482 | + | 0.423918i | 0.00464463 | + | 0.0263410i | ||||
\(260\) | −10.2174 | + | 17.6971i | −0.633657 | + | 1.09753i | ||||
\(261\) | −0.470467 | − | 2.82549i | −0.0291211 | − | 0.174893i | ||||
\(262\) | −4.88346 | − | 8.45840i | −0.301701 | − | 0.522561i | ||||
\(263\) | −2.62569 | + | 2.20322i | −0.161907 | + | 0.135856i | −0.720142 | − | 0.693827i | \(-0.755923\pi\) |
0.558235 | + | 0.829683i | \(0.311479\pi\) | |||||||
\(264\) | 1.33375 | + | 7.78091i | 0.0820868 | + | 0.478882i | ||||
\(265\) | 4.72074 | − | 26.7726i | 0.289993 | − | 1.64463i | ||||
\(266\) | −0.641869 | − | 0.538592i | −0.0393555 | − | 0.0330232i | ||||
\(267\) | −12.1731 | − | 0.0580573i | −0.744980 | − | 0.00355305i | ||||
\(268\) | −13.7773 | − | 5.01453i | −0.841582 | − | 0.306311i | ||||
\(269\) | −3.36486 | −0.205159 | −0.102579 | − | 0.994725i | \(-0.532710\pi\) | ||||
−0.102579 | + | 0.994725i | \(0.532710\pi\) | |||||||
\(270\) | 9.28887 | − | 15.5700i | 0.565302 | − | 0.947560i | ||||
\(271\) | 9.07619 | 0.551339 | 0.275670 | − | 0.961252i | \(-0.411100\pi\) | ||||
0.275670 | + | 0.961252i | \(0.411100\pi\) | |||||||
\(272\) | 1.15412 | + | 0.420066i | 0.0699790 | + | 0.0254703i | ||||
\(273\) | −5.03004 | − | 8.80904i | −0.304432 | − | 0.533147i | ||||
\(274\) | 11.6533 | + | 9.77831i | 0.704004 | + | 0.590729i | ||||
\(275\) | 5.67821 | − | 32.2027i | 0.342409 | − | 1.94190i | ||||
\(276\) | −12.0049 | − | 4.43437i | −0.722608 | − | 0.266918i | ||||
\(277\) | −9.56560 | + | 8.02649i | −0.574741 | + | 0.482265i | −0.883215 | − | 0.468968i | \(-0.844626\pi\) |
0.308474 | + | 0.951233i | \(0.400182\pi\) | |||||||
\(278\) | 6.01211 | + | 10.4133i | 0.360582 | + | 0.624547i | ||||
\(279\) | −4.63860 | + | 24.9147i | −0.277706 | + | 1.49161i | ||||
\(280\) | −1.74459 | + | 3.02172i | −0.104259 | + | 0.180582i | ||||
\(281\) | 3.51004 | + | 19.9064i | 0.209391 | + | 1.18752i | 0.890378 | + | 0.455222i | \(0.150440\pi\) |
−0.680987 | + | 0.732296i | \(0.738449\pi\) | |||||||
\(282\) | −2.68026 | + | 14.7877i | −0.159607 | + | 0.880596i | ||||
\(283\) | −7.69188 | + | 2.79961i | −0.457235 | + | 0.166420i | −0.560361 | − | 0.828248i | \(-0.689338\pi\) |
0.103126 | + | 0.994668i | \(0.467115\pi\) | |||||||
\(284\) | 0.0229253 | − | 0.00834414i | 0.00136037 | − | 0.000495134i | ||||
\(285\) | 0.903093 | − | 4.98261i | 0.0534946 | − | 0.295145i | ||||
\(286\) | 4.63528 | + | 26.2880i | 0.274090 | + | 1.55444i | ||||
\(287\) | 3.48864 | − | 6.04250i | 0.205928 | − | 0.356678i | ||||
\(288\) | 2.82874 | − | 0.999124i | 0.166685 | − | 0.0588740i | ||||
\(289\) | 7.74577 | + | 13.4161i | 0.455634 | + | 0.789181i | ||||
\(290\) | −2.55204 | + | 2.14142i | −0.149861 | + | 0.125748i | ||||
\(291\) | −21.9613 | − | 8.11206i | −1.28739 | − | 0.475538i | ||||
\(292\) | −0.418748 | + | 2.37484i | −0.0245054 | + | 0.138977i | ||||
\(293\) | −8.37145 | − | 7.02448i | −0.489065 | − | 0.410375i | 0.364626 | − | 0.931154i | \(-0.381197\pi\) |
−0.853691 | + | 0.520779i | \(0.825641\pi\) | |||||||
\(294\) | −0.858862 | − | 1.50411i | −0.0500898 | − | 0.0877217i | ||||
\(295\) | 36.2931 | + | 13.2096i | 2.11306 | + | 0.769092i | ||||
\(296\) | −0.430458 | −0.0250199 | ||||||||
\(297\) | −3.77842 | − | 23.3798i | −0.219246 | − | 1.35664i | ||||
\(298\) | 2.75133 | 0.159380 | ||||||||
\(299\) | −40.6635 | − | 14.8003i | −2.35163 | − | 0.855923i | ||||
\(300\) | −12.4262 | − | 0.0592647i | −0.717428 | − | 0.00342165i | ||||
\(301\) | 5.43361 | + | 4.55934i | 0.313188 | + | 0.262796i | ||||
\(302\) | −0.411684 | + | 2.33477i | −0.0236897 | + | 0.134351i | ||||
\(303\) | 2.50154 | + | 14.5936i | 0.143710 | + | 0.838381i | ||||
\(304\) | 0.641869 | − | 0.538592i | 0.0368137 | − | 0.0308904i | ||||
\(305\) | 18.5899 | + | 32.1987i | 1.06445 | + | 1.84369i | ||||
\(306\) | −3.45019 | − | 1.29317i | −0.197234 | − | 0.0739255i | ||||
\(307\) | 1.82256 | − | 3.15677i | 0.104019 | − | 0.180166i | −0.809318 | − | 0.587371i | \(-0.800163\pi\) |
0.913337 | + | 0.407205i | \(0.133496\pi\) | |||||||
\(308\) | 0.791459 | + | 4.48859i | 0.0450976 | + | 0.255761i | ||||
\(309\) | −11.9240 | − | 10.1027i | −0.678334 | − | 0.574725i | ||||
\(310\) | 27.6977 | − | 10.0811i | 1.57312 | − | 0.572569i | ||||
\(311\) | −18.8905 | + | 6.87559i | −1.07118 | + | 0.389879i | −0.816619 | − | 0.577177i | \(-0.804154\pi\) |
−0.254564 | + | 0.967056i | \(0.581932\pi\) | |||||||
\(312\) | 9.54867 | − | 3.42395i | 0.540587 | − | 0.193843i | ||||
\(313\) | 5.77083 | + | 32.7280i | 0.326187 | + | 1.84990i | 0.501200 | + | 0.865331i | \(0.332892\pi\) |
−0.175014 | + | 0.984566i | \(0.555997\pi\) | |||||||
\(314\) | −3.98588 | + | 6.90374i | −0.224936 | + | 0.389601i | ||||
\(315\) | 5.32000 | − | 9.01481i | 0.299748 | − | 0.507927i | ||||
\(316\) | −1.04115 | − | 1.80333i | −0.0585695 | − | 0.101445i | ||||
\(317\) | −21.1190 | + | 17.7209i | −1.18616 | + | 0.995307i | −0.186242 | + | 0.982504i | \(0.559631\pi\) |
−0.999918 | + | 0.0128027i | \(0.995925\pi\) | |||||||
\(318\) | −10.3791 | + | 8.62510i | −0.582033 | + | 0.483672i | ||||
\(319\) | −0.755682 | + | 4.28569i | −0.0423101 | + | 0.239952i | ||||
\(320\) | −2.67286 | − | 2.24280i | −0.149418 | − | 0.125376i | ||||
\(321\) | 2.17418 | − | 3.72465i | 0.121351 | − | 0.207890i | ||||
\(322\) | −6.94315 | − | 2.52710i | −0.386926 | − | 0.140830i | ||||
\(323\) | −1.02910 | −0.0572608 | ||||||||
\(324\) | −8.51441 | + | 2.91629i | −0.473023 | + | 0.162016i | ||||
\(325\) | −42.0176 | −2.33072 | ||||||||
\(326\) | 2.72267 | + | 0.990971i | 0.150795 | + | 0.0548848i | ||||
\(327\) | −0.893539 | + | 1.53075i | −0.0494128 | + | 0.0846506i | ||||
\(328\) | 5.34491 | + | 4.48491i | 0.295123 | + | 0.247638i | ||||
\(329\) | −1.50671 | + | 8.54498i | −0.0830676 | + | 0.471100i | ||||
\(330\) | −21.1848 | + | 17.6047i | −1.16619 | + | 0.969107i | ||||
\(331\) | 17.4897 | − | 14.6756i | 0.961320 | − | 0.806644i | −0.0198470 | − | 0.999803i | \(-0.506318\pi\) |
0.981167 | + | 0.193159i | \(0.0618735\pi\) | |||||||
\(332\) | 8.41327 | + | 14.5722i | 0.461738 | + | 0.799754i | ||||
\(333\) | 1.29131 | + | 0.0123177i | 0.0707636 | + | 0.000675005i | ||||
\(334\) | −2.27498 | + | 3.94038i | −0.124481 | + | 0.215608i | ||||
\(335\) | −8.88324 | − | 50.3794i | −0.485343 | − | 2.75252i | ||||
\(336\) | 1.63040 | − | 0.584627i | 0.0889457 | − | 0.0318940i | ||||
\(337\) | 26.1265 | − | 9.50926i | 1.42320 | − | 0.518002i | 0.488225 | − | 0.872718i | \(-0.337644\pi\) |
0.934974 | + | 0.354715i | \(0.115422\pi\) | |||||||
\(338\) | 20.0156 | − | 7.28509i | 1.08871 | − | 0.396256i | ||||
\(339\) | 9.80908 | + | 8.31083i | 0.532756 | + | 0.451383i | ||||
\(340\) | 0.744148 | + | 4.22028i | 0.0403571 | + | 0.228877i | ||||
\(341\) | 19.2514 | − | 33.3444i | 1.04252 | − | 1.80570i | ||||
\(342\) | −1.94093 | + | 1.59734i | −0.104954 | + | 0.0863740i | ||||
\(343\) | −0.500000 | − | 0.866025i | −0.0269975 | − | 0.0467610i | ||||
\(344\) | −5.43361 | + | 4.55934i | −0.292961 | + | 0.245823i | ||||
\(345\) | −7.54416 | − | 44.0115i | −0.406164 | − | 2.36950i | ||||
\(346\) | −1.59882 | + | 9.06736i | −0.0859531 | + | 0.487464i | ||||
\(347\) | 4.50344 | + | 3.77883i | 0.241757 | + | 0.202858i | 0.755613 | − | 0.655018i | \(-0.227339\pi\) |
−0.513856 | + | 0.857876i | \(0.671783\pi\) | |||||||
\(348\) | 1.65374 | + | 0.00788721i | 0.0886496 | + | 0.000422799i | ||||
\(349\) | −11.7340 | − | 4.27083i | −0.628107 | − | 0.228612i | 0.00830009 | − | 0.999966i | \(-0.497358\pi\) |
−0.636407 | + | 0.771353i | \(0.719580\pi\) | |||||||
\(350\) | −7.17436 | −0.383486 | ||||||||
\(351\) | −28.7427 | + | 9.99814i | −1.53417 | + | 0.533661i | ||||
\(352\) | −4.55783 | −0.242933 | ||||||||
\(353\) | 0.0127909 | + | 0.00465551i | 0.000680792 | + | 0.000247788i | 0.342361 | − | 0.939569i | \(-0.388774\pi\) |
−0.341680 | + | 0.939816i | \(0.610996\pi\) | |||||||
\(354\) | −9.50688 | − | 16.6493i | −0.505285 | − | 0.884899i | ||||
\(355\) | 0.0652089 | + | 0.0547168i | 0.00346093 | + | 0.00290407i | ||||
\(356\) | 1.22043 | − | 6.92143i | 0.0646829 | − | 0.366835i | ||||
\(357\) | −1.99551 | − | 0.737102i | −0.105613 | − | 0.0390116i | ||||
\(358\) | 6.85892 | − | 5.75532i | 0.362505 | − | 0.304178i | ||||
\(359\) | −15.9100 | − | 27.5569i | −0.839696 | − | 1.45440i | −0.890149 | − | 0.455670i | \(-0.849400\pi\) |
0.0504524 | − | 0.998726i | \(-0.483934\pi\) | |||||||
\(360\) | 7.95405 | + | 6.80458i | 0.419215 | + | 0.358633i | ||||
\(361\) | 9.14896 | − | 15.8465i | 0.481524 | − | 0.834025i | ||||
\(362\) | 2.84804 | + | 16.1521i | 0.149690 | + | 0.848934i | ||||
\(363\) | −3.01912 | + | 16.6573i | −0.158463 | + | 0.874284i | ||||
\(364\) | 5.50344 | − | 2.00309i | 0.288458 | − | 0.104990i | ||||
\(365\) | −7.90662 | + | 2.87778i | −0.413852 | + | 0.150630i | ||||
\(366\) | 3.29155 | − | 18.1604i | 0.172052 | − | 0.949260i | ||||
\(367\) | 6.51601 | + | 36.9541i | 0.340133 | + | 1.92899i | 0.369052 | + | 0.929409i | \(0.379682\pi\) |
−0.0289189 | + | 0.999582i | \(0.509206\pi\) | |||||||
\(368\) | 3.69437 | − | 6.39884i | 0.192582 | − | 0.333563i | ||||
\(369\) | −15.9057 | − | 13.6071i | −0.828016 | − | 0.708356i | ||||
\(370\) | −0.750972 | − | 1.30072i | −0.0390412 | − | 0.0676213i | ||||
\(371\) | −5.96857 | + | 5.00823i | −0.309873 | + | 0.260014i | ||||
\(372\) | −13.7253 | − | 5.06985i | −0.711623 | − | 0.262860i | ||||
\(373\) | −0.946384 | + | 5.36721i | −0.0490019 | + | 0.277904i | −0.999457 | − | 0.0329592i | \(-0.989507\pi\) |
0.950455 | + | 0.310863i | \(0.100618\pi\) | |||||||
\(374\) | 4.28823 | + | 3.59825i | 0.221739 | + | 0.186061i | ||||
\(375\) | −6.51594 | − | 11.4113i | −0.336482 | − | 0.589276i | ||||
\(376\) | −8.15352 | − | 2.96764i | −0.420486 | − | 0.153044i | ||||
\(377\) | 5.59189 | 0.287997 | ||||||||
\(378\) | −4.90771 | + | 1.70715i | −0.252426 | + | 0.0878062i | ||||
\(379\) | −17.4571 | −0.896712 | −0.448356 | − | 0.893855i | \(-0.647990\pi\) | ||||
−0.448356 | + | 0.893855i | \(0.647990\pi\) | |||||||
\(380\) | 2.74727 | + | 0.999925i | 0.140932 | + | 0.0512950i | ||||
\(381\) | −11.4374 | − | 0.0545486i | −0.585955 | − | 0.00279461i | ||||
\(382\) | 1.35037 | + | 1.13309i | 0.0690908 | + | 0.0579741i | ||||
\(383\) | 4.08862 | − | 23.1877i | 0.208919 | − | 1.18484i | −0.682234 | − | 0.731134i | \(-0.738992\pi\) |
0.891153 | − | 0.453703i | \(-0.149897\pi\) | |||||||
\(384\) | 0.292629 | + | 1.70715i | 0.0149332 | + | 0.0871177i | ||||
\(385\) | −12.1825 | + | 10.2223i | −0.620876 | + | 0.520977i | ||||
\(386\) | 3.13851 | + | 5.43606i | 0.159746 | + | 0.276688i | ||||
\(387\) | 16.4306 | − | 13.5219i | 0.835212 | − | 0.687358i | ||||
\(388\) | 6.75834 | − | 11.7058i | 0.343103 | − | 0.594271i | ||||
\(389\) | 1.51951 | + | 8.61757i | 0.0770422 | + | 0.436928i | 0.998792 | + | 0.0491424i | \(0.0156488\pi\) |
−0.921750 | + | 0.387786i | \(0.873240\pi\) | |||||||
\(390\) | 27.0047 | + | 22.8800i | 1.36744 | + | 1.15857i | ||||
\(391\) | −8.52752 | + | 3.10376i | −0.431255 | + | 0.156964i | ||||
\(392\) | 0.939693 | − | 0.342020i | 0.0474616 | − | 0.0172746i | ||||
\(393\) | −15.9240 | + | 5.71000i | −0.803259 | + | 0.288032i | ||||
\(394\) | −3.48264 | − | 19.7510i | −0.175453 | − | 0.995041i | ||||
\(395\) | 3.63277 | − | 6.29214i | 0.182785 | − | 0.316592i | ||||
\(396\) | 13.6729 | + | 0.130424i | 0.687087 | + | 0.00655404i | ||||
\(397\) | −7.51055 | − | 13.0087i | −0.376944 | − | 0.652886i | 0.613672 | − | 0.789561i | \(-0.289692\pi\) |
−0.990616 | + | 0.136675i | \(0.956358\pi\) | |||||||
\(398\) | −8.00527 | + | 6.71722i | −0.401268 | + | 0.336704i | ||||
\(399\) | −1.11619 | + | 0.927556i | −0.0558792 | + | 0.0464359i | ||||
\(400\) | 1.24581 | − | 7.06536i | 0.0622907 | − | 0.353268i | ||||
\(401\) | 26.7772 | + | 22.4688i | 1.33719 | + | 1.12204i | 0.982338 | + | 0.187115i | \(0.0599136\pi\) |
0.354853 | + | 0.934922i | \(0.384531\pi\) | |||||||
\(402\) | −12.8020 | + | 21.9314i | −0.638504 | + | 1.09384i | ||||
\(403\) | −46.4909 | − | 16.9213i | −2.31588 | − | 0.842911i | ||||
\(404\) | −8.54851 | −0.425304 | ||||||||
\(405\) | −23.6664 | − | 20.6404i | −1.17599 | − | 1.02563i | ||||
\(406\) | 0.954796 | 0.0473857 | ||||||||
\(407\) | −1.84363 | − | 0.671028i | −0.0913855 | − | 0.0332616i | ||||
\(408\) | 1.07242 | − | 1.83719i | 0.0530927 | − | 0.0909547i | ||||
\(409\) | −12.9586 | − | 10.8736i | −0.640762 | − | 0.537663i | 0.263490 | − | 0.964662i | \(-0.415126\pi\) |
−0.904252 | + | 0.426999i | \(0.859571\pi\) | |||||||
\(410\) | −4.22746 | + | 23.9751i | −0.208779 | + | 1.18405i | ||||
\(411\) | 20.2647 | − | 16.8401i | 0.999585 | − | 0.830660i | ||||
\(412\) | 6.91208 | − | 5.79992i | 0.340534 | − | 0.285742i | ||||
\(413\) | −5.53458 | − | 9.58618i | −0.272339 | − | 0.471705i | ||||
\(414\) | −11.2657 | + | 19.0899i | −0.553680 | + | 0.938219i | ||||
\(415\) | −29.3554 | + | 50.8450i | −1.44100 | + | 2.49588i | ||||
\(416\) | 1.01699 | + | 5.76766i | 0.0498622 | + | 0.282783i | ||||
\(417\) | 19.6043 | − | 7.02968i | 0.960027 | − | 0.344245i | ||||
\(418\) | 3.58869 | − | 1.30618i | 0.175529 | − | 0.0638872i | ||||
\(419\) | −29.3761 | + | 10.6920i | −1.43512 | + | 0.522340i | −0.938394 | − | 0.345568i | \(-0.887686\pi\) |
−0.496725 | + | 0.867908i | \(0.665464\pi\) | |||||||
\(420\) | 4.61096 | + | 3.90668i | 0.224992 | + | 0.190626i | ||||
\(421\) | −1.81909 | − | 10.3166i | −0.0886571 | − | 0.502799i | −0.996507 | − | 0.0835049i | \(-0.973389\pi\) |
0.907850 | − | 0.419295i | \(-0.137723\pi\) | |||||||
\(422\) | −9.96705 | + | 17.2634i | −0.485189 | + | 0.840371i | ||||
\(423\) | 24.3745 | + | 9.13583i | 1.18513 | + | 0.444199i | ||||
\(424\) | −3.89571 | − | 6.74757i | −0.189192 | − | 0.327691i | ||||
\(425\) | −6.74999 | + | 5.66392i | −0.327423 | + | 0.274740i | ||||
\(426\) | −0.00713916 | − | 0.0416488i | −0.000345894 | − | 0.00201789i | ||||
\(427\) | 1.85035 | − | 10.4939i | 0.0895448 | − | 0.507834i | ||||
\(428\) | 1.90744 | + | 1.60053i | 0.0921996 | + | 0.0773646i | ||||
\(429\) | 46.2340 | + | 0.220505i | 2.23220 | + | 0.0106461i | ||||
\(430\) | −23.2565 | − | 8.46466i | −1.12153 | − | 0.408202i | ||||
\(431\) | 27.4019 | 1.31990 | 0.659950 | − | 0.751309i | \(-0.270577\pi\) | ||||
0.659950 | + | 0.751309i | \(0.270577\pi\) | |||||||
\(432\) | −0.828996 | − | 5.12960i | −0.0398851 | − | 0.246798i | ||||
\(433\) | −10.5172 | −0.505424 | −0.252712 | − | 0.967541i | \(-0.581323\pi\) | ||||
−0.252712 | + | 0.967541i | \(0.581323\pi\) | |||||||
\(434\) | −7.93816 | − | 2.88926i | −0.381044 | − | 0.138689i | ||||
\(435\) | 2.86126 | + | 5.01088i | 0.137187 | + | 0.240253i | ||||
\(436\) | −0.783915 | − | 0.657783i | −0.0375427 | − | 0.0315021i | ||||
\(437\) | −1.07506 | + | 6.09698i | −0.0514272 | + | 0.291658i | ||||
\(438\) | 3.91804 | + | 1.44725i | 0.187211 | + | 0.0691523i | ||||
\(439\) | −3.60794 | + | 3.02742i | −0.172198 | + | 0.144491i | −0.724814 | − | 0.688945i | \(-0.758074\pi\) |
0.552616 | + | 0.833436i | \(0.313630\pi\) | |||||||
\(440\) | −7.95154 | − | 13.7725i | −0.379075 | − | 0.656577i | ||||
\(441\) | −2.82874 | + | 0.999124i | −0.134702 | + | 0.0475773i | ||||
\(442\) | 3.59654 | − | 6.22938i | 0.171070 | − | 0.296302i | ||||
\(443\) | 3.71847 | + | 21.0885i | 0.176670 | + | 1.00195i | 0.936199 | + | 0.351472i | \(0.114319\pi\) |
−0.759529 | + | 0.650474i | \(0.774570\pi\) | |||||||
\(444\) | −0.132968 | + | 0.733622i | −0.00631039 | + | 0.0348162i | ||||
\(445\) | 23.0437 | − | 8.38724i | 1.09238 | − | 0.397593i | ||||
\(446\) | −4.64730 | + | 1.69148i | −0.220056 | + | 0.0800938i | ||||
\(447\) | 0.849882 | − | 4.68904i | 0.0401980 | − | 0.221784i | ||||
\(448\) | 0.173648 | + | 0.984808i | 0.00820411 | + | 0.0465278i | ||||
\(449\) | −18.0411 | + | 31.2481i | −0.851411 | + | 1.47469i | 0.0285244 | + | 0.999593i | \(0.490919\pi\) |
−0.879935 | + | 0.475094i | \(0.842414\pi\) | |||||||
\(450\) | −3.93945 | + | 21.1595i | −0.185707 | + | 0.997467i | ||||
\(451\) | 15.9006 | + | 27.5407i | 0.748732 | + | 1.29684i | ||||
\(452\) | −5.68609 | + | 4.77120i | −0.267451 | + | 0.224418i | ||||
\(453\) | 3.85195 | + | 1.42284i | 0.180980 | + | 0.0668506i | ||||
\(454\) | 0.785748 | − | 4.45620i | 0.0368770 | − | 0.209140i | ||||
\(455\) | 15.6540 | + | 13.1353i | 0.733870 | + | 0.615790i | ||||
\(456\) | −0.719641 | − | 1.26030i | −0.0337003 | − | 0.0590188i | ||||
\(457\) | −29.7643 | − | 10.8333i | −1.39231 | − | 0.506761i | −0.466427 | − | 0.884560i | \(-0.654459\pi\) |
−0.925888 | + | 0.377799i | \(0.876681\pi\) | |||||||
\(458\) | 17.5584 | 0.820449 | ||||||||
\(459\) | −3.26969 | + | 5.48064i | −0.152616 | + | 0.255815i | ||||
\(460\) | 25.7806 | 1.20203 | ||||||||
\(461\) | −6.97397 | − | 2.53832i | −0.324810 | − | 0.118221i | 0.174468 | − | 0.984663i | \(-0.444179\pi\) |
−0.499279 | + | 0.866442i | \(0.666402\pi\) | |||||||
\(462\) | 7.89430 | + | 0.0376505i | 0.367276 | + | 0.00175166i | ||||
\(463\) | −19.1851 | − | 16.0982i | −0.891607 | − | 0.748147i | 0.0769251 | − | 0.997037i | \(-0.475490\pi\) |
−0.968532 | + | 0.248890i | \(0.919934\pi\) | |||||||
\(464\) | −0.165799 | + | 0.940291i | −0.00769701 | + | 0.0436519i | ||||
\(465\) | −8.62531 | − | 50.3187i | −0.399989 | − | 2.33347i | ||||
\(466\) | 1.00032 | − | 0.839372i | 0.0463391 | − | 0.0388831i | ||||
\(467\) | −16.7076 | − | 28.9384i | −0.773136 | − | 1.33911i | −0.935836 | − | 0.352436i | \(-0.885354\pi\) |
0.162700 | − | 0.986676i | \(-0.447980\pi\) | |||||||
\(468\) | −2.88580 | − | 17.3313i | −0.133396 | − | 0.801139i | ||||
\(469\) | −7.33075 | + | 12.6972i | −0.338502 | + | 0.586303i | ||||
\(470\) | −5.25718 | − | 29.8149i | −0.242496 | − | 1.37526i | ||||
\(471\) | 10.5347 | + | 8.92562i | 0.485413 | + | 0.411271i | ||||
\(472\) | 10.4016 | − | 3.78588i | 0.478773 | − | 0.174259i | ||||
\(473\) | −30.3794 | + | 11.0572i | −1.39684 | + | 0.508410i | ||||
\(474\) | −3.39500 | + | 1.21737i | −0.155937 | + | 0.0559158i | ||||
\(475\) | 1.04387 | + | 5.92007i | 0.0478960 | + | 0.271632i | ||||
\(476\) | 0.614096 | − | 1.06365i | 0.0281470 | − | 0.0487521i | ||||
\(477\) | 11.4935 | + | 20.3533i | 0.526252 | + | 0.931912i | ||||
\(478\) | 3.15098 | + | 5.45765i | 0.144122 | + | 0.249627i | ||||
\(479\) | 12.4361 | − | 10.4351i | 0.568219 | − | 0.476792i | −0.312836 | − | 0.949807i | \(-0.601279\pi\) |
0.881054 | + | 0.473015i | \(0.156834\pi\) | |||||||
\(480\) | −4.64801 | + | 3.86252i | −0.212152 | + | 0.176299i | ||||
\(481\) | −0.437773 | + | 2.48273i | −0.0199607 | + | 0.113203i | ||||
\(482\) | 18.3358 | + | 15.3856i | 0.835173 | + | 0.700793i | ||||
\(483\) | −6.45162 | + | 11.0525i | −0.293559 | + | 0.502905i | ||||
\(484\) | −9.18438 | − | 3.34284i | −0.417472 | − | 0.151947i | ||||
\(485\) | 47.1621 | 2.14152 | ||||||||
\(486\) | 2.34009 | + | 15.4118i | 0.106149 | + | 0.699094i | ||||
\(487\) | 5.01634 | 0.227312 | 0.113656 | − | 0.993520i | \(-0.463744\pi\) | ||||
0.113656 | + | 0.993520i | \(0.463744\pi\) | |||||||
\(488\) | 10.0131 | + | 3.64448i | 0.453273 | + | 0.164978i | ||||
\(489\) | 2.52993 | − | 4.33409i | 0.114407 | − | 0.195994i | ||||
\(490\) | 2.67286 | + | 2.24280i | 0.120748 | + | 0.101319i | ||||
\(491\) | 5.09109 | − | 28.8730i | 0.229758 | − | 1.30302i | −0.623620 | − | 0.781728i | \(-0.714339\pi\) |
0.853378 | − | 0.521293i | \(-0.174550\pi\) | |||||||
\(492\) | 9.29460 | − | 7.72385i | 0.419033 | − | 0.348218i | ||||
\(493\) | 0.898320 | − | 0.753780i | 0.0404583 | − | 0.0339485i | ||||
\(494\) | −2.45364 | − | 4.24983i | −0.110394 | − | 0.191209i | ||||
\(495\) | 23.4594 | + | 41.5431i | 1.05442 | + | 1.86722i | ||||
\(496\) | 4.22381 | − | 7.31585i | 0.189655 | − | 0.328491i | ||||
\(497\) | −0.00423643 | − | 0.0240260i | −0.000190030 | − | 0.00107771i | ||||
\(498\) | 27.4340 | − | 9.83725i | 1.22935 | − | 0.440818i | ||||
\(499\) | −12.8185 | + | 4.66554i | −0.573833 | + | 0.208858i | −0.612604 | − | 0.790390i | \(-0.709878\pi\) |
0.0387710 | + | 0.999248i | \(0.487656\pi\) | |||||||
\(500\) | 7.12919 | − | 2.59481i | 0.318827 | − | 0.116043i | ||||
\(501\) | 6.01278 | + | 5.09438i | 0.268631 | + | 0.227600i | ||||
\(502\) | −2.38443 | − | 13.5228i | −0.106422 | − | 0.603552i | ||||
\(503\) | −17.1288 | + | 29.6679i | −0.763734 | + | 1.32283i | 0.177180 | + | 0.984179i | \(0.443303\pi\) |
−0.940913 | + | 0.338647i | \(0.890031\pi\) | |||||||
\(504\) | −0.492740 | − | 2.95926i | −0.0219484 | − | 0.131816i | ||||
\(505\) | −14.9136 | − | 25.8312i | −0.663648 | − | 1.14947i | ||||
\(506\) | 25.7978 | − | 21.6469i | 1.14685 | − | 0.962323i | ||||
\(507\) | −6.23304 | − | 36.3626i | −0.276819 | − | 1.61492i | ||||
\(508\) | 1.14668 | − | 6.50313i | 0.0508756 | − | 0.288530i | ||||
\(509\) | 8.68647 | + | 7.28881i | 0.385021 | + | 0.323071i | 0.814670 | − | 0.579925i | \(-0.196918\pi\) |
−0.429649 | + | 0.902996i | \(0.641363\pi\) | |||||||
\(510\) | 7.42241 | + | 0.0353999i | 0.328670 | + | 0.00156753i | ||||
\(511\) | 2.26604 | + | 0.824772i | 0.100244 | + | 0.0364858i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 2.12276 | + | 3.80131i | 0.0937221 | + | 0.167832i | ||||
\(514\) | −10.2048 | −0.450115 | ||||||||
\(515\) | 29.5845 | + | 10.7679i | 1.30365 | + | 0.474489i | ||||
\(516\) | 6.09197 | + | 10.6688i | 0.268184 | + | 0.469667i | ||||
\(517\) | −30.2950 | − | 25.4206i | −1.33237 | − | 1.11799i | ||||
\(518\) | −0.0747482 | + | 0.423918i | −0.00328425 | + | 0.0186259i | ||||
\(519\) | 14.9595 | + | 5.52574i | 0.656648 | + | 0.242553i | ||||
\(520\) | −15.6540 | + | 13.1353i | −0.686473 | + | 0.576019i | ||||
\(521\) | 7.80766 | + | 13.5233i | 0.342060 | + | 0.592465i | 0.984815 | − | 0.173607i | \(-0.0555422\pi\) |
−0.642755 | + | 0.766071i | \(0.722209\pi\) | |||||||
\(522\) | 0.524280 | − | 2.81600i | 0.0229471 | − | 0.123253i | ||||
\(523\) | 10.3068 | − | 17.8520i | 0.450687 | − | 0.780612i | −0.547742 | − | 0.836647i | \(-0.684512\pi\) |
0.998429 | + | 0.0560349i | \(0.0178458\pi\) | |||||||
\(524\) | −1.69601 | − | 9.61853i | −0.0740904 | − | 0.420188i | ||||
\(525\) | −2.21615 | + | 12.2271i | −0.0967209 | + | 0.533636i | ||||
\(526\) | −3.22089 | + | 1.17231i | −0.140437 | + | 0.0511151i | ||||
\(527\) | −9.74959 | + | 3.54856i | −0.424699 | + | 0.154578i | ||||
\(528\) | −1.40791 | + | 7.76783i | −0.0612714 | + | 0.338052i | ||||
\(529\) | 5.48616 | + | 31.1135i | 0.238529 | + | 1.35276i | ||||
\(530\) | 13.5928 | − | 23.5435i | 0.590435 | − | 1.02266i | ||||
\(531\) | −31.3117 | + | 11.0595i | −1.35881 | + | 0.479940i | ||||
\(532\) | −0.418950 | − | 0.725643i | −0.0181638 | − | 0.0314606i | ||||
\(533\) | 31.3032 | − | 26.2665i | 1.35589 | − | 1.13773i | ||||
\(534\) | −11.4191 | − | 4.21799i | −0.494152 | − | 0.182530i | ||||
\(535\) | −1.50866 | + | 8.55601i | −0.0652249 | + | 0.369909i | ||||
\(536\) | −11.2314 | − | 9.42423i | −0.485121 | − | 0.407065i | ||||
\(537\) | −7.68998 | − | 13.4674i | −0.331847 | − | 0.581159i | ||||
\(538\) | −3.16193 | − | 1.15085i | −0.136320 | − | 0.0496166i | ||||
\(539\) | 4.55783 | 0.196320 | ||||||||
\(540\) | 14.0539 | − | 11.4540i | 0.604785 | − | 0.492903i | ||||
\(541\) | 21.5756 | 0.927606 | 0.463803 | − | 0.885938i | \(-0.346485\pi\) | ||||
0.463803 | + | 0.885938i | \(0.346485\pi\) | |||||||
\(542\) | 8.52882 | + | 3.10424i | 0.366344 | + | 0.133338i | ||||
\(543\) | 28.4074 | + | 0.135484i | 1.21908 | + | 0.00581419i | ||||
\(544\) | 0.940850 | + | 0.789467i | 0.0403386 | + | 0.0338481i | ||||
\(545\) | 0.620024 | − | 3.51633i | 0.0265589 | − | 0.150623i | ||||
\(546\) | −1.71382 | − | 9.99817i | −0.0733447 | − | 0.427882i | ||||
\(547\) | 11.9267 | − | 10.0077i | 0.509951 | − | 0.427900i | −0.351161 | − | 0.936315i | \(-0.614213\pi\) |
0.861112 | + | 0.508415i | \(0.169769\pi\) | |||||||
\(548\) | 7.60618 | + | 13.1743i | 0.324920 | + | 0.562777i | ||||
\(549\) | −29.9337 | − | 11.2195i | −1.27754 | − | 0.478836i | ||||
\(550\) | 16.3498 | − | 28.3186i | 0.697156 | − | 1.20751i | ||||
\(551\) | −0.138923 | − | 0.787870i | −0.00591831 | − | 0.0335644i | ||||
\(552\) | −9.76425 | − | 8.27285i | −0.415594 | − | 0.352116i | ||||
\(553\) | −1.95673 | + | 0.712191i | −0.0832086 | + | 0.0302855i | ||||
\(554\) | −11.7339 | + | 4.27081i | −0.498528 | + | 0.181449i | ||||
\(555\) | −2.44877 | + | 0.878077i | −0.103945 | + | 0.0372723i | ||||
\(556\) | 2.08798 | + | 11.8415i | 0.0885502 | + | 0.502193i | ||||
\(557\) | 17.5941 | − | 30.4738i | 0.745484 | − | 1.29122i | −0.204484 | − | 0.978870i | \(-0.565552\pi\) |
0.949968 | − | 0.312346i | \(-0.101115\pi\) | |||||||
\(558\) | −12.8802 | + | 21.8257i | −0.545262 | + | 0.923955i | ||||
\(559\) | 20.7708 | + | 35.9760i | 0.878510 | + | 1.52162i | ||||
\(560\) | −2.67286 | + | 2.24280i | −0.112949 | + | 0.0947756i | ||||
\(561\) | 7.45708 | − | 6.19687i | 0.314838 | − | 0.261632i | ||||
\(562\) | −3.51004 | + | 19.9064i | −0.148062 | + | 0.839702i | ||||
\(563\) | 13.6284 | + | 11.4356i | 0.574369 | + | 0.481953i | 0.883093 | − | 0.469199i | \(-0.155457\pi\) |
−0.308723 | + | 0.951152i | \(0.599902\pi\) | |||||||
\(564\) | −7.57631 | + | 12.9792i | −0.319020 | + | 0.546523i | ||||
\(565\) | −24.3371 | − | 8.85798i | −1.02387 | − | 0.372658i | ||||
\(566\) | −8.18552 | −0.344063 | ||||||||
\(567\) | 1.39347 | + | 8.89147i | 0.0585204 | + | 0.373407i | ||||
\(568\) | 0.0243966 | 0.00102366 | ||||||||
\(569\) | −8.69197 | − | 3.16362i | −0.364386 | − | 0.132626i | 0.153337 | − | 0.988174i | \(-0.450998\pi\) |
−0.517723 | + | 0.855548i | \(0.673220\pi\) | |||||||
\(570\) | 2.55278 | − | 4.37325i | 0.106924 | − | 0.183175i | ||||
\(571\) | 25.2211 | + | 21.1630i | 1.05547 | + | 0.885646i | 0.993658 | − | 0.112442i | \(-0.0358672\pi\) |
0.0618132 | + | 0.998088i | \(0.480312\pi\) | |||||||
\(572\) | −4.63528 | + | 26.2880i | −0.193811 | + | 1.09916i | ||||
\(573\) | 2.34824 | − | 1.95140i | 0.0980991 | − | 0.0815208i | ||||
\(574\) | 5.34491 | − | 4.48491i | 0.223092 | − | 0.187197i | ||||
\(575\) | 26.5047 | + | 45.9076i | 1.10532 | + | 1.91448i | ||||
\(576\) | 2.99986 | + | 0.0286153i | 0.124994 | + | 0.00119230i | ||||
\(577\) | −0.102627 | + | 0.177755i | −0.00427242 | + | 0.00740005i | −0.868154 | − | 0.496295i | \(-0.834693\pi\) |
0.863881 | + | 0.503695i | \(0.168027\pi\) | |||||||
\(578\) | 2.69008 | + | 15.2562i | 0.111893 | + | 0.634574i | ||||
\(579\) | 10.2341 | − | 3.66972i | 0.425313 | − | 0.152508i | ||||
\(580\) | −3.13054 | + | 1.13942i | −0.129989 | + | 0.0473120i | ||||
\(581\) | 15.8118 | − | 5.75502i | 0.655983 | − | 0.238758i | ||||
\(582\) | −17.8623 | − | 15.1340i | −0.740418 | − | 0.627326i | ||||
\(583\) | −6.16659 | − | 34.9725i | −0.255394 | − | 1.44841i | ||||
\(584\) | −1.20574 | + | 2.08840i | −0.0498937 | + | 0.0864185i | ||||
\(585\) | 47.3357 | − | 38.9560i | 1.95709 | − | 1.61063i | ||||
\(586\) | −5.46408 | − | 9.46406i | −0.225719 | − | 0.390957i | ||||
\(587\) | −12.6791 | + | 10.6390i | −0.523322 | + | 0.439119i | −0.865788 | − | 0.500411i | \(-0.833182\pi\) |
0.342466 | + | 0.939530i | \(0.388738\pi\) | |||||||
\(588\) | −0.292629 | − | 1.70715i | −0.0120678 | − | 0.0704018i | ||||
\(589\) | −1.22913 | + | 6.97073i | −0.0506453 | + | 0.287224i | ||||
\(590\) | 29.5864 | + | 24.8259i | 1.21805 | + | 1.02207i | ||||
\(591\) | −34.7371 | − | 0.165673i | −1.42889 | − | 0.00681486i | ||||
\(592\) | −0.404498 | − | 0.147225i | −0.0166248 | − | 0.00605092i | ||||
\(593\) | −15.3451 | −0.630147 | −0.315074 | − | 0.949067i | \(-0.602029\pi\) | ||||
−0.315074 | + | 0.949067i | \(0.602029\pi\) | |||||||
\(594\) | 4.44582 | − | 23.2622i | 0.182414 | − | 0.954458i | ||||
\(595\) | 4.28538 | 0.175683 | ||||||||
\(596\) | 2.58540 | + | 0.941009i | 0.105902 | + | 0.0385452i | ||||
\(597\) | 8.97523 | + | 15.7182i | 0.367332 | + | 0.643303i | ||||
\(598\) | −33.1492 | − | 27.8155i | −1.35557 | − | 1.13746i | ||||
\(599\) | −0.816771 | + | 4.63214i | −0.0333724 | + | 0.189264i | −0.996937 | − | 0.0782126i | \(-0.975079\pi\) |
0.963564 | + | 0.267477i | \(0.0861898\pi\) | |||||||
\(600\) | −11.6565 | − | 4.30571i | −0.475877 | − | 0.175780i | ||||
\(601\) | 6.76569 | − | 5.67709i | 0.275978 | − | 0.231573i | −0.494284 | − | 0.869300i | \(-0.664570\pi\) |
0.770262 | + | 0.637727i | \(0.220125\pi\) | |||||||
\(602\) | 3.54654 | + | 6.14278i | 0.144546 | + | 0.250361i | ||||
\(603\) | 33.4229 | + | 28.5928i | 1.36108 | + | 1.16439i | ||||
\(604\) | −1.18540 | + | 2.05317i | −0.0482331 | + | 0.0835421i | ||||
\(605\) | −5.92185 | − | 33.5845i | −0.240757 | − | 1.36540i | ||||
\(606\) | −2.64063 | + | 14.5691i | −0.107268 | + | 0.591829i | ||||
\(607\) | 19.4386 | − | 7.07507i | 0.788988 | − | 0.287168i | 0.0840729 | − | 0.996460i | \(-0.473207\pi\) |
0.704915 | + | 0.709291i | \(0.250985\pi\) | |||||||
\(608\) | 0.787369 | − | 0.286579i | 0.0319320 | − | 0.0116223i | ||||
\(609\) | 0.294936 | − | 1.62724i | 0.0119514 | − | 0.0659392i | ||||
\(610\) | 6.45621 | + | 36.6150i | 0.261404 | + | 1.48250i | ||||
\(611\) | −25.4084 | + | 44.0087i | −1.02791 | + | 1.78040i | ||||
\(612\) | −2.79983 | − | 2.39521i | −0.113176 | − | 0.0968208i | ||||
\(613\) | 6.82664 | + | 11.8241i | 0.275726 | + | 0.477571i | 0.970318 | − | 0.241833i | \(-0.0777486\pi\) |
−0.694592 | + | 0.719404i | \(0.744415\pi\) | |||||||
\(614\) | 2.79232 | − | 2.34304i | 0.112689 | − | 0.0945573i | ||||
\(615\) | 39.5545 | + | 14.6107i | 1.59499 | + | 0.589160i | ||||
\(616\) | −0.791459 | + | 4.48859i | −0.0318888 | + | 0.180850i | ||||
\(617\) | −32.6841 | − | 27.4252i | −1.31581 | − | 1.10410i | −0.987175 | − | 0.159641i | \(-0.948966\pi\) |
−0.328637 | − | 0.944456i | \(-0.606589\pi\) | |||||||
\(618\) | −7.74958 | − | 13.5717i | −0.311734 | − | 0.545935i | ||||
\(619\) | −12.5311 | − | 4.56096i | −0.503669 | − | 0.183321i | 0.0776745 | − | 0.996979i | \(-0.475251\pi\) |
−0.581343 | + | 0.813658i | \(0.697473\pi\) | |||||||
\(620\) | 29.4752 | 1.18375 | ||||||||
\(621\) | 29.0547 | + | 25.0968i | 1.16592 | + | 1.00710i | ||||
\(622\) | −20.1029 | −0.806052 | ||||||||
\(623\) | −6.60435 | − | 2.40379i | −0.264598 | − | 0.0963057i | ||||
\(624\) | 10.1439 | + | 0.0483795i | 0.406080 | + | 0.00193673i | ||||
\(625\) | −7.20111 | − | 6.04244i | −0.288044 | − | 0.241698i | ||||
\(626\) | −5.77083 | + | 32.7280i | −0.230649 | + | 1.30807i | ||||
\(627\) | −1.11755 | − | 6.51963i | −0.0446307 | − | 0.260369i | ||||
\(628\) | −6.10672 | + | 5.12414i | −0.243685 | + | 0.204476i | ||||
\(629\) | 0.264342 | + | 0.457855i | 0.0105400 | + | 0.0182559i | ||||
\(630\) | 8.08241 | − | 6.65161i | 0.322011 | − | 0.265006i | ||||
\(631\) | −13.4869 | + | 23.3600i | −0.536904 | + | 0.929945i | 0.462164 | + | 0.886794i | \(0.347073\pi\) |
−0.999069 | + | 0.0431512i | \(0.986260\pi\) | |||||||
\(632\) | −0.361589 | − | 2.05067i | −0.0143832 | − | 0.0815714i | ||||
\(633\) | 26.3430 | + | 22.3193i | 1.04704 | + | 0.887114i | ||||
\(634\) | −25.9063 | + | 9.42911i | −1.02887 | + | 0.374478i | ||||
\(635\) | 21.6511 | − | 7.88035i | 0.859197 | − | 0.312722i | ||||
\(636\) | −12.7031 | + | 4.55508i | −0.503713 | + | 0.180621i | ||||
\(637\) | −1.01699 | − | 5.76766i | −0.0402948 | − | 0.228523i | ||||
\(638\) | −2.17590 | + | 3.76877i | −0.0861447 | + | 0.149207i | ||||
\(639\) | −0.0731866 | 0.000698118i | −0.00289522 | 2.76171e-5i | ||||||
\(640\) | −1.74459 | − | 3.02172i | −0.0689609 | − | 0.119444i | ||||
\(641\) | 10.3416 | − | 8.67764i | 0.408469 | − | 0.342746i | −0.415287 | − | 0.909690i | \(-0.636319\pi\) |
0.823756 | + | 0.566944i | \(0.191874\pi\) | |||||||
\(642\) | 3.31697 | − | 2.75641i | 0.130910 | − | 0.108787i | ||||
\(643\) | 5.47398 | − | 31.0445i | 0.215873 | − | 1.22427i | −0.663513 | − | 0.748164i | \(-0.730935\pi\) |
0.879386 | − | 0.476110i | \(-0.157953\pi\) | |||||||
\(644\) | −5.66011 | − | 4.74939i | −0.223039 | − | 0.187152i | ||||
\(645\) | −21.6101 | + | 37.0209i | −0.850896 | + | 1.45769i | ||||
\(646\) | −0.967040 | − | 0.351974i | −0.0380477 | − | 0.0138482i | ||||
\(647\) | −44.3345 | −1.74297 | −0.871484 | − | 0.490423i | \(-0.836842\pi\) | ||||
−0.871484 | + | 0.490423i | \(0.836842\pi\) | |||||||
\(648\) | −8.99836 | − | 0.171684i | −0.353489 | − | 0.00674439i | ||||
\(649\) | 50.4514 | 1.98039 | ||||||||
\(650\) | −39.4836 | − | 14.3709i | −1.54868 | − | 0.563672i | ||||
\(651\) | −7.37620 | + | 12.6364i | −0.289096 | + | 0.495259i | ||||
\(652\) | 2.21954 | + | 1.86242i | 0.0869240 | + | 0.0729379i | ||||
\(653\) | −5.23455 | + | 29.6866i | −0.204844 | + | 1.16173i | 0.692842 | + | 0.721089i | \(0.256358\pi\) |
−0.897686 | + | 0.440637i | \(0.854753\pi\) | |||||||
\(654\) | −1.36320 | + | 1.13283i | −0.0533053 | + | 0.0442970i | ||||
\(655\) | 26.1056 | − | 21.9052i | 1.02003 | − | 0.855908i | ||||
\(656\) | 3.48864 | + | 6.04250i | 0.136209 | + | 0.235920i | ||||
\(657\) | 3.67680 | − | 6.23040i | 0.143446 | − | 0.243071i | ||||
\(658\) | −4.33840 | + | 7.51433i | −0.169128 | + | 0.292939i | ||||
\(659\) | 0.176928 | + | 1.00341i | 0.00689212 | + | 0.0390871i | 0.988060 | − | 0.154070i | \(-0.0492383\pi\) |
−0.981168 | + | 0.193158i | \(0.938127\pi\) | |||||||
\(660\) | −25.9284 | + | 9.29737i | −1.00926 | + | 0.361900i | ||||
\(661\) | 38.7460 | − | 14.1024i | 1.50704 | − | 0.548519i | 0.549170 | − | 0.835711i | \(-0.314944\pi\) |
0.957873 | + | 0.287192i | \(0.0927217\pi\) | |||||||
\(662\) | 21.4543 | − | 7.80872i | 0.833844 | − | 0.303495i | ||||
\(663\) | −9.50567 | − | 8.05377i | −0.369169 | − | 0.312782i | ||||
\(664\) | 2.92190 | + | 16.5709i | 0.113392 | + | 0.643076i | ||||
\(665\) | 1.46179 | − | 2.53190i | 0.0566859 | − | 0.0981828i | ||||
\(666\) | 1.20923 | + | 0.453231i | 0.0468566 | + | 0.0175623i | ||||
\(667\) | −3.52737 | − | 6.10959i | −0.136580 | − | 0.236564i | ||||
\(668\) | −3.48547 | + | 2.92465i | −0.134857 | + | 0.113158i | ||||
\(669\) | 1.44721 | + | 8.44281i | 0.0559524 | + | 0.326418i | ||||
\(670\) | 8.88324 | − | 50.3794i | 0.343190 | − | 1.94632i | ||||
\(671\) | 37.2046 | + | 31.2183i | 1.43627 | + | 1.20517i | ||||
\(672\) | 1.73203 | + | 0.00826063i | 0.0668146 | + | 0.000318661i | ||||
\(673\) | −3.71215 | − | 1.35111i | −0.143093 | − | 0.0520816i | 0.269481 | − | 0.963006i | \(-0.413148\pi\) |
−0.412574 | + | 0.910924i | \(0.635370\pi\) | |||||||
\(674\) | 27.8032 | 1.07094 | ||||||||
\(675\) | 34.8448 | + | 13.2501i | 1.34118 | + | 0.509996i | ||||
\(676\) | 21.3002 | 0.819237 | ||||||||
\(677\) | 21.7634 | + | 7.92124i | 0.836436 | + | 0.304438i | 0.724498 | − | 0.689277i | \(-0.242072\pi\) |
0.111939 | + | 0.993715i | \(0.464294\pi\) | |||||||
\(678\) | 6.37504 | + | 11.1645i | 0.244832 | + | 0.428771i | ||||
\(679\) | −10.3544 | − | 8.68836i | −0.397365 | − | 0.333429i | ||||
\(680\) | −0.744148 | + | 4.22028i | −0.0285368 | + | 0.161840i | ||||
\(681\) | −7.35191 | − | 2.71565i | −0.281726 | − | 0.104064i | ||||
\(682\) | 29.4949 | − | 24.7491i | 1.12942 | − | 0.947693i | ||||
\(683\) | 6.84387 | + | 11.8539i | 0.261873 | + | 0.453578i | 0.966740 | − | 0.255762i | \(-0.0823264\pi\) |
−0.704866 | + | 0.709340i | \(0.748993\pi\) | |||||||
\(684\) | −2.37020 | + | 0.837167i | −0.0906269 | + | 0.0320099i | ||||
\(685\) | −26.5393 | + | 45.9674i | −1.01401 | + | 1.75632i | ||||
\(686\) | −0.173648 | − | 0.984808i | −0.00662992 | − | 0.0376001i | ||||
\(687\) | 5.42377 | − | 29.9244i | 0.206930 | − | 1.14169i | ||||
\(688\) | −6.66531 | + | 2.42597i | −0.254113 | + | 0.0924894i | ||||
\(689\) | −42.8796 | + | 15.6069i | −1.63358 | + | 0.594575i | ||||
\(690\) | 7.96362 | − | 43.9375i | 0.303170 | − | 1.67267i | ||||
\(691\) | 0.0991261 | + | 0.562172i | 0.00377093 | + | 0.0213860i | 0.986635 | − | 0.162945i | \(-0.0520993\pi\) |
−0.982864 | + | 0.184331i | \(0.940988\pi\) | |||||||
\(692\) | −4.60362 | + | 7.97370i | −0.175003 | + | 0.303115i | ||||
\(693\) | 2.50271 | − | 13.4425i | 0.0950701 | − | 0.510638i | ||||
\(694\) | 2.93941 | + | 5.09121i | 0.111578 | + | 0.193260i | ||||
\(695\) | −32.1391 | + | 26.9679i | −1.21911 | + | 1.02295i | ||||
\(696\) | 1.55131 | + | 0.573023i | 0.0588021 | + | 0.0217204i | ||||
\(697\) | 1.48807 | − | 8.43925i | 0.0563646 | − | 0.319660i | ||||
\(698\) | −9.56565 | − | 8.02654i | −0.362065 | − | 0.303809i | ||||
\(699\) | −1.12153 | − | 1.96412i | −0.0424201 | − | 0.0742897i | ||||
\(700\) | −6.74169 | − | 2.45378i | −0.254812 | − | 0.0927440i | ||||
\(701\) | −7.18650 | −0.271430 | −0.135715 | − | 0.990748i | \(-0.543333\pi\) | ||||
−0.135715 | + | 0.990748i | \(0.543333\pi\) | |||||||
\(702\) | −30.4288 | − | 0.435402i | −1.14846 | − | 0.0164332i | ||||
\(703\) | 0.360681 | 0.0136033 | ||||||||
\(704\) | −4.28296 | − | 1.55887i | −0.161420 | − | 0.0587521i | ||||
\(705\) | −52.4370 | − | 0.250089i | −1.97489 | − | 0.00941891i | ||||
\(706\) | 0.0104273 | + | 0.00874950i | 0.000392435 | + | 0.000329292i | ||||
\(707\) | −1.48443 | + | 8.41864i | −0.0558279 | + | 0.316616i | ||||
\(708\) | −3.23916 | − | 18.8967i | −0.121735 | − | 0.710183i | ||||
\(709\) | −17.6393 | + | 14.8011i | −0.662458 | + | 0.555868i | −0.910822 | − | 0.412799i | \(-0.864551\pi\) |
0.248365 | + | 0.968667i | \(0.420107\pi\) | |||||||
\(710\) | 0.0425621 | + | 0.0737197i | 0.00159733 | + | 0.00276665i | ||||
\(711\) | 1.02604 | + | 6.16209i | 0.0384794 | + | 0.231096i | ||||
\(712\) | 3.51410 | − | 6.08660i | 0.131697 | − | 0.228105i | ||||
\(713\) | 10.8386 | + | 61.4690i | 0.405910 | + | 2.30203i | ||||
\(714\) | −1.62306 | − | 1.37515i | −0.0607415 | − | 0.0514638i | ||||
\(715\) | −87.5216 | + | 31.8552i | −3.27312 | + | 1.19132i | ||||
\(716\) | 8.41371 | − | 3.06234i | 0.314435 | − | 0.114445i | ||||
\(717\) | 10.2747 | − | 3.68429i | 0.383716 | − | 0.137592i | ||||
\(718\) | −5.52548 | − | 31.3365i | −0.206209 | − | 1.16947i | ||||
\(719\) | 11.3764 | − | 19.7046i | 0.424270 | − | 0.734857i | −0.572082 | − | 0.820196i | \(-0.693864\pi\) |
0.996352 | + | 0.0853396i | \(0.0271975\pi\) | |||||||
\(720\) | 5.14706 | + | 9.11466i | 0.191820 | + | 0.339683i | ||||
\(721\) | −4.51154 | − | 7.81422i | −0.168019 | − | 0.291017i | ||||
\(722\) | 14.0170 | − | 11.7617i | 0.521660 | − | 0.437724i | ||||
\(723\) | 31.8853 | − | 26.4968i | 1.18583 | − | 0.985427i | ||||
\(724\) | −2.84804 | + | 16.1521i | −0.105847 | + | 0.600287i | ||||
\(725\) | −5.24744 | − | 4.40313i | −0.194885 | − | 0.163528i | ||||
\(726\) | −8.53419 | + | 14.6202i | −0.316734 | + | 0.542606i | ||||
\(727\) | −37.4420 | − | 13.6278i | −1.38865 | − | 0.505427i | −0.463860 | − | 0.885909i | \(-0.653536\pi\) |
−0.924788 | + | 0.380482i | \(0.875758\pi\) | |||||||
\(728\) | 5.85663 | 0.217061 | ||||||||
\(729\) | 26.9889 | + | 0.772520i | 0.999591 | + | 0.0286118i | ||||
\(730\) | −8.41405 | −0.311418 | ||||||||
\(731\) | 8.18628 | + | 2.97956i | 0.302781 | + | 0.110203i | ||||
\(732\) | 9.30428 | − | 15.9394i | 0.343896 | − | 0.589139i | ||||
\(733\) | 3.13291 | + | 2.62883i | 0.115717 | + | 0.0970979i | 0.698810 | − | 0.715307i | \(-0.253713\pi\) |
−0.583093 | + | 0.812405i | \(0.698158\pi\) | |||||||
\(734\) | −6.51601 | + | 36.9541i | −0.240510 | + | 1.36400i | ||||
\(735\) | 4.64801 | − | 3.86252i | 0.171445 | − | 0.142471i | ||||
\(736\) | 5.66011 | − | 4.74939i | 0.208634 | − | 0.175065i | ||||
\(737\) | −33.4123 | − | 57.8718i | −1.23076 | − | 2.13173i | ||||
\(738\) | −10.2925 | − | 18.2265i | −0.378874 | − | 0.670927i | ||||
\(739\) | −11.4550 | + | 19.8407i | −0.421380 | + | 0.729852i | −0.996075 | − | 0.0885160i | \(-0.971788\pi\) |
0.574694 | + | 0.818368i | \(0.305121\pi\) | |||||||
\(740\) | −0.260810 | − | 1.47913i | −0.00958756 | − | 0.0543737i | ||||
\(741\) | −8.00084 | + | 2.86893i | −0.293918 | + | 0.105393i | ||||
\(742\) | −7.32154 | + | 2.66482i | −0.268782 | + | 0.0978287i | ||||
\(743\) | −22.3169 | + | 8.12269i | −0.818728 | + | 0.297993i | −0.717224 | − | 0.696843i | \(-0.754588\pi\) |
−0.101504 | + | 0.994835i | \(0.532365\pi\) | |||||||
\(744\) | −11.1636 | − | 9.45843i | −0.409276 | − | 0.346763i | ||||
\(745\) | 1.66700 | + | 9.45402i | 0.0610741 | + | 0.346368i | ||||
\(746\) | −2.72500 | + | 4.71984i | −0.0997695 | + | 0.172806i | ||||
\(747\) | −8.29112 | − | 49.7941i | −0.303356 | − | 1.82187i | ||||
\(748\) | 2.79895 | + | 4.84792i | 0.102340 | + | 0.177257i | ||||
\(749\) | 1.90744 | − | 1.60053i | 0.0696963 | − | 0.0584822i | ||||
\(750\) | −2.22009 | − | 12.9517i | −0.0810664 | − | 0.472929i | ||||
\(751\) | 4.93248 | − | 27.9735i | 0.179989 | − | 1.02077i | −0.752238 | − | 0.658892i | \(-0.771026\pi\) |
0.932227 | − | 0.361875i | \(-0.117863\pi\) | |||||||
\(752\) | −6.64681 | − | 5.57734i | −0.242384 | − | 0.203385i | ||||
\(753\) | −23.7832 | − | 0.113430i | −0.866709 | − | 0.00413362i | ||||
\(754\) | 5.25466 | + | 1.91254i | 0.191363 | + | 0.0696506i | ||||
\(755\) | −8.27211 | −0.301053 | ||||||||
\(756\) | −5.19562 | − | 0.0743434i | −0.188963 | − | 0.00270384i | ||||
\(757\) | 13.3407 | 0.484876 | 0.242438 | − | 0.970167i | \(-0.422053\pi\) | ||||
0.242438 | + | 0.970167i | \(0.422053\pi\) | |||||||
\(758\) | −16.4043 | − | 5.97069i | −0.595832 | − | 0.216865i | ||||
\(759\) | −28.9236 | − | 50.6535i | −1.04986 | − | 1.83860i | ||||
\(760\) | 2.23960 | + | 1.87924i | 0.0812387 | + | 0.0681673i | ||||
\(761\) | −0.590272 | + | 3.34760i | −0.0213973 | + | 0.121350i | −0.993636 | − | 0.112643i | \(-0.964068\pi\) |
0.972238 | + | 0.233993i | \(0.0751794\pi\) | |||||||
\(762\) | −10.7290 | − | 3.96307i | −0.388669 | − | 0.143567i | ||||
\(763\) | −0.783915 | + | 0.657783i | −0.0283796 | + | 0.0238133i | ||||
\(764\) | 0.881390 | + | 1.52661i | 0.0318876 | + | 0.0552309i | ||||
\(765\) | 2.35311 | − | 12.6390i | 0.0850768 | − | 0.456962i | ||||
\(766\) | 11.7727 | − | 20.3909i | 0.425365 | − | 0.736754i | ||||
\(767\) | −11.2573 | − | 63.8432i | −0.406476 | − | 2.30524i | ||||
\(768\) | −0.308899 | + | 1.70428i | −0.0111464 | + | 0.0614980i | ||||
\(769\) | 33.2723 | − | 12.1101i | 1.19983 | − | 0.436703i | 0.336666 | − | 0.941624i | \(-0.390701\pi\) |
0.863165 | + | 0.504921i | \(0.168478\pi\) | |||||||
\(770\) | −14.9440 | + | 5.43917i | −0.538544 | + | 0.196014i | ||||
\(771\) | −3.15226 | + | 17.3919i | −0.113526 | + | 0.626353i | ||||
\(772\) | 1.08999 | + | 6.18166i | 0.0392297 | + | 0.222483i | ||||
\(773\) | −7.38369 | + | 12.7889i | −0.265573 | + | 0.459986i | −0.967714 | − | 0.252052i | \(-0.918894\pi\) |
0.702141 | + | 0.712038i | \(0.252228\pi\) | |||||||
\(774\) | 20.0644 | − | 7.08686i | 0.721202 | − | 0.254732i | ||||
\(775\) | 30.3031 | + | 52.4865i | 1.08852 | + | 1.88537i | ||||
\(776\) | 10.3544 | − | 8.68836i | 0.371701 | − | 0.311894i | ||||
\(777\) | 0.699387 | + | 0.258340i | 0.0250904 | + | 0.00926790i | ||||
\(778\) | −1.51951 | + | 8.61757i | −0.0544771 | + | 0.308955i | ||||
\(779\) | −4.47850 | − | 3.75791i | −0.160459 | − | 0.134641i | ||||
\(780\) | 17.5507 | + | 30.7363i | 0.628416 | + | 1.10054i | ||||
\(781\) | 0.104490 | + | 0.0380312i | 0.00373894 | + | 0.00136086i | ||||
\(782\) | −9.07480 | −0.324514 | ||||||||
\(783\) | −4.63731 | − | 1.76338i | −0.165724 | − | 0.0630181i | ||||
\(784\) | 1.00000 | 0.0357143 | ||||||||
\(785\) | −26.1374 | − | 9.51324i | −0.932885 | − | 0.339542i | ||||
\(786\) | −16.9166 | − | 0.0806808i | −0.603395 | − | 0.00287779i | ||||
\(787\) | 21.5566 | + | 18.0881i | 0.768409 | + | 0.644772i | 0.940301 | − | 0.340344i | \(-0.110544\pi\) |
−0.171892 | + | 0.985116i | \(0.554988\pi\) | |||||||
\(788\) | 3.48264 | − | 19.7510i | 0.124064 | − | 0.703601i | ||||
\(789\) | 1.00301 | + | 5.85143i | 0.0357083 | + | 0.208317i | ||||
\(790\) | 5.56573 | − | 4.67020i | 0.198020 | − | 0.166158i | ||||
\(791\) | 3.71133 | + | 6.42822i | 0.131960 | + | 0.228561i | ||||
\(792\) | 12.8037 | + | 4.79895i | 0.454959 | + | 0.170523i | ||||
\(793\) | 31.2034 | − | 54.0459i | 1.10807 | − | 1.91923i | ||||
\(794\) | −2.60839 | − | 14.7929i | −0.0925682 | − | 0.524981i | ||||
\(795\) | −35.9259 | − | 30.4386i | −1.27416 | − | 1.07955i | ||||
\(796\) | −9.81992 | + | 3.57416i | −0.348058 | + | 0.126683i | ||||
\(797\) | −5.70104 | + | 2.07501i | −0.201941 | + | 0.0735006i | −0.441011 | − | 0.897502i | \(-0.645380\pi\) |
0.239069 | + | 0.971002i | \(0.423158\pi\) | |||||||
\(798\) | −1.36612 | + | 0.489859i | −0.0483599 | + | 0.0173408i | ||||
\(799\) | 1.85053 | + | 10.4949i | 0.0654670 | + | 0.371282i | ||||
\(800\) | 3.58718 | − | 6.21318i | 0.126826 | − | 0.219669i | ||||
\(801\) | −10.7160 | + | 18.1584i | −0.378631 | + | 0.641596i | ||||
\(802\) | 17.4776 | + | 30.2721i | 0.617155 | + | 1.06894i | ||||
\(803\) | −8.41966 | + | 7.06493i | −0.297123 | + | 0.249316i | ||||
\(804\) | −19.5309 | + | 16.2303i | −0.688802 | + | 0.572398i | ||||
\(805\) | 4.47676 | − | 25.3890i | 0.157785 | − | 0.894844i | ||||
\(806\) | −37.8997 | − | 31.8017i | −1.33496 | − | 1.12017i | ||||
\(807\) | −2.93809 | + | 5.03333i | −0.103426 | + | 0.177182i | ||||
\(808\) | −8.03298 | − | 2.92376i | −0.282599 | − | 0.102858i | ||||
\(809\) | 18.9454 | 0.666086 | 0.333043 | − | 0.942912i | \(-0.391925\pi\) | ||||
0.333043 | + | 0.942912i | \(0.391925\pi\) | |||||||
\(810\) | −15.1797 | − | 27.4900i | −0.533359 | − | 0.965901i | ||||
\(811\) | 53.4126 | 1.87557 | 0.937785 | − | 0.347217i | \(-0.112873\pi\) | ||||
0.937785 | + | 0.347217i | \(0.112873\pi\) | |||||||
\(812\) | 0.897215 | + | 0.326560i | 0.0314861 | + | 0.0114600i | ||||
\(813\) | 7.92505 | − | 13.5766i | 0.277944 | − | 0.476153i | ||||
\(814\) | −1.50294 | − | 1.26112i | −0.0526781 | − | 0.0442022i | ||||
\(815\) | −1.75551 | + | 9.95598i | −0.0614927 | + | 0.348743i | ||||
\(816\) | 1.63610 | − | 1.35961i | 0.0572750 | − | 0.0475958i | ||||
\(817\) | 4.55283 | − | 3.82028i | 0.159283 | − | 0.133655i | ||||
\(818\) | −8.45814 | − | 14.6499i | −0.295732 | − | 0.512223i | ||||
\(819\) | −17.5691 | − | 0.167589i | −0.613914 | − | 0.00585605i | ||||
\(820\) | −12.1725 | + | 21.0834i | −0.425082 | + | 0.736263i | ||||
\(821\) | −7.56323 | − | 42.8932i | −0.263959 | − | 1.49698i | −0.771984 | − | 0.635642i | \(-0.780736\pi\) |
0.508025 | − | 0.861342i | \(-0.330376\pi\) | |||||||
\(822\) | 24.8022 | − | 8.89355i | 0.865078 | − | 0.310198i | ||||
\(823\) | −29.9706 | + | 10.9084i | −1.04471 | + | 0.380243i | −0.806663 | − | 0.591012i | \(-0.798729\pi\) |
−0.238045 | + | 0.971254i | \(0.576507\pi\) | |||||||
\(824\) | 8.47892 | − | 3.08607i | 0.295377 | − | 0.107509i | ||||
\(825\) | −43.2125 | − | 36.6122i | −1.50447 | − | 1.27467i | ||||
\(826\) | −1.92214 | − | 10.9010i | −0.0668798 | − | 0.379294i | ||||
\(827\) | 17.9460 | − | 31.0835i | 0.624045 | − | 1.08088i | −0.364680 | − | 0.931133i | \(-0.618821\pi\) |
0.988725 | − | 0.149745i | \(-0.0478452\pi\) | |||||||
\(828\) | −17.1154 | + | 14.0856i | −0.594803 | + | 0.489507i | ||||
\(829\) | −28.2608 | − | 48.9491i | −0.981537 | − | 1.70007i | −0.656415 | − | 0.754400i | \(-0.727928\pi\) |
−0.325122 | − | 0.945672i | \(-0.605405\pi\) | |||||||
\(830\) | −44.9751 | + | 37.7386i | −1.56111 | + | 1.30992i | ||||
\(831\) | 3.65406 | + | 21.3172i | 0.126758 | + | 0.739486i | ||||
\(832\) | −1.01699 | + | 5.76766i | −0.0352579 | + | 0.199958i | ||||
\(833\) | −0.940850 | − | 0.789467i | −0.0325985 | − | 0.0273534i | ||||
\(834\) | 20.8263 | + | 0.0993275i | 0.721156 | + | 0.00343943i | ||||
\(835\) | −14.9182 | − | 5.42977i | −0.516265 | − | 0.187905i | ||||
\(836\) | 3.81901 | 0.132083 | ||||||||
\(837\) | 33.2185 | + | 28.6934i | 1.14820 | + | 0.991790i | ||||
\(838\) | −31.2614 | −1.07991 | ||||||||
\(839\) | −5.29894 | − | 1.92866i | −0.182940 | − | 0.0665847i | 0.248926 | − | 0.968523i | \(-0.419922\pi\) |
−0.431866 | + | 0.901938i | \(0.642145\pi\) | |||||||
\(840\) | 2.99672 | + | 5.24812i | 0.103397 | + | 0.181077i | ||||
\(841\) | −21.5169 | − | 18.0549i | −0.741963 | − | 0.622581i | ||||
\(842\) | 1.81909 | − | 10.3166i | 0.0626900 | − | 0.355533i | ||||
\(843\) | 32.8419 | + | 12.1312i | 1.13114 | + | 0.417820i | ||||
\(844\) | −15.2704 | + | 12.8134i | −0.525629 | + | 0.441055i | ||||
\(845\) | 37.1600 | + | 64.3631i | 1.27834 | + | 2.21416i | ||||
\(846\) | 19.7799 | + | 16.9215i | 0.680048 | + | 0.581771i | ||||
\(847\) | −4.88691 | + | 8.46437i | −0.167916 | + | 0.290839i | ||||
\(848\) | −1.35297 | − | 7.67305i | −0.0464610 | − | 0.263494i | ||||
\(849\) | −2.52850 | + | 13.9505i | −0.0867780 | + | 0.478778i | ||||
\(850\) | −8.28009 | + | 3.01371i | −0.284005 | + | 0.103369i | ||||
\(851\) | 2.98873 | − | 1.08781i | 0.102452 | − | 0.0372896i | ||||
\(852\) | 0.00753610 | − | 0.0415788i | 0.000258183 | − | 0.00142447i | ||||
\(853\) | −3.33935 | − | 18.9384i | −0.114337 | − | 0.648439i | −0.987076 | − | 0.160252i | \(-0.948769\pi\) |
0.872739 | − | 0.488187i | \(-0.162342\pi\) | |||||||
\(854\) | 5.32788 | − | 9.22815i | 0.182316 | − | 0.315781i | ||||
\(855\) | −6.66470 | − | 5.70156i | −0.227928 | − | 0.194989i | ||||
\(856\) | 1.24499 | + | 2.15639i | 0.0425530 | + | 0.0737039i | ||||
\(857\) | 29.3114 | − | 24.5952i | 1.00126 | − | 0.840155i | 0.0141000 | − | 0.999901i | \(-0.495512\pi\) |
0.987158 | + | 0.159745i | \(0.0510673\pi\) | |||||||
\(858\) | 43.3704 | + | 16.0202i | 1.48064 | + | 0.546920i | ||||
\(859\) | −2.86287 | + | 16.2361i | −0.0976799 | + | 0.553970i | 0.896213 | + | 0.443623i | \(0.146307\pi\) |
−0.993893 | + | 0.110347i | \(0.964804\pi\) | |||||||
\(860\) | −18.9588 | − | 15.9084i | −0.646491 | − | 0.542470i | ||||
\(861\) | −5.99252 | − | 10.4946i | −0.204225 | − | 0.357656i | ||||
\(862\) | 25.7493 | + | 9.37199i | 0.877025 | + | 0.319211i | ||||
\(863\) | 47.7136 | 1.62419 | 0.812094 | − | 0.583526i | \(-0.198327\pi\) | ||||
0.812094 | + | 0.583526i | \(0.198327\pi\) | |||||||
\(864\) | 0.975424 | − | 5.10378i | 0.0331846 | − | 0.173634i | ||||
\(865\) | −32.1257 | −1.09231 | ||||||||
\(866\) | −9.88294 | − | 3.59709i | −0.335836 | − | 0.122234i | ||||
\(867\) | 26.8318 | + | 0.127970i | 0.911257 | + | 0.00434608i | ||||
\(868\) | −6.47125 | − | 5.43002i | −0.219649 | − | 0.184307i | ||||
\(869\) | 1.64806 | − | 9.34662i | 0.0559066 | − | 0.317062i | ||||
\(870\) | 0.974880 | + | 5.68730i | 0.0330515 | + | 0.192817i | ||||
\(871\) | −65.7779 | + | 55.1942i | −2.22880 | + | 1.87019i | ||||
\(872\) | −0.511664 | − | 0.886229i | −0.0173271 | − | 0.0300115i | ||||
\(873\) | −31.3103 | + | 25.7676i | −1.05969 | + | 0.872101i | ||||
\(874\) | −3.09552 | + | 5.36159i | −0.104707 | + | 0.181359i | ||||
\(875\) | −1.31742 | − | 7.47146i | −0.0445369 | − | 0.252582i | ||||
\(876\) | 3.18677 | + | 2.70002i | 0.107671 | + | 0.0912252i | ||||
\(877\) | 5.40825 | − | 1.96844i | 0.182624 | − | 0.0664696i | −0.249090 | − | 0.968480i | \(-0.580131\pi\) |
0.431713 | + | 0.902011i | \(0.357909\pi\) | |||||||
\(878\) | −4.42580 | + | 1.61086i | −0.149363 | + | 0.0543638i | ||||
\(879\) | −17.8173 | + | 6.38890i | −0.600962 | + | 0.215492i | ||||
\(880\) | −2.76154 | − | 15.6615i | −0.0930915 | − | 0.527948i | ||||
\(881\) | 21.4627 | − | 37.1745i | 0.723097 | − | 1.25244i | −0.236656 | − | 0.971594i | \(-0.576051\pi\) |
0.959753 | − | 0.280847i | \(-0.0906153\pi\) | |||||||
\(882\) | −2.99986 | − | 0.0286153i | −0.101011 | − | 0.000963528i | ||||
\(883\) | −11.0225 | − | 19.0915i | −0.370936 | − | 0.642480i | 0.618774 | − | 0.785569i | \(-0.287630\pi\) |
−0.989710 | + | 0.143089i | \(0.954296\pi\) | |||||||
\(884\) | 5.51021 | − | 4.62362i | 0.185329 | − | 0.155509i | ||||
\(885\) | 51.4496 | − | 42.7549i | 1.72946 | − | 1.43719i | ||||
\(886\) | −3.71847 | + | 21.0885i | −0.124925 | + | 0.708483i | ||||
\(887\) | 5.77474 | + | 4.84558i | 0.193897 | + | 0.162699i | 0.734567 | − | 0.678536i | \(-0.237385\pi\) |
−0.540671 | + | 0.841234i | \(0.681830\pi\) | |||||||
\(888\) | −0.375863 | + | 0.643902i | −0.0126131 | + | 0.0216079i | ||||
\(889\) | −6.20521 | − | 2.25851i | −0.208116 | − | 0.0757481i | ||||
\(890\) | 24.5226 | 0.822001 | ||||||||
\(891\) | −38.2720 | − | 14.7626i | −1.28216 | − | 0.494565i | ||||
\(892\) | −4.94555 | −0.165589 | ||||||||
\(893\) | 6.83184 | + | 2.48659i | 0.228619 | + | 0.0832104i | ||||
\(894\) | 2.40237 | − | 4.11558i | 0.0803474 | − | 0.137645i | ||||
\(895\) | 23.9320 | + | 20.0813i | 0.799958 | + | 0.671245i | ||||
\(896\) | −0.173648 | + | 0.984808i | −0.00580118 | + | 0.0329001i | ||||
\(897\) | −57.6452 | + | 47.9034i | −1.92472 | + | 1.59945i | ||||
\(898\) | −27.6405 | + | 23.1932i | −0.922376 | + | 0.773966i | ||||
\(899\) | −4.03288 | − | 6.98515i | −0.134504 | − | 0.232968i | ||||
\(900\) | −10.9388 | + | 18.5360i | −0.364628 | + | 0.617868i | ||||
\(901\) | −4.78468 | + | 8.28731i | −0.159401 | + | 0.276090i | ||||
\(902\) | 5.52223 | + | 31.3181i | 0.183870 | + | 1.04278i | ||||
\(903\) | 11.5646 | − | 4.14680i | 0.384845 | − | 0.137997i | ||||
\(904\) | −6.97502 | + | 2.53870i | −0.231986 | + | 0.0844360i | ||||
\(905\) | −53.7756 | + | 19.5727i | −1.78756 | + | 0.650619i | ||||
\(906\) | 3.13301 | + | 2.65447i | 0.104087 | + | 0.0881889i | ||||
\(907\) | 3.26033 | + | 18.4902i | 0.108257 | + | 0.613958i | 0.989869 | + | 0.141983i | \(0.0453478\pi\) |
−0.881612 | + | 0.471975i | \(0.843541\pi\) | |||||||
\(908\) | 2.26247 | − | 3.91871i | 0.0750827 | − | 0.130047i | ||||
\(909\) | 24.0142 | + | 9.00076i | 0.796500 | + | 0.298536i | ||||
\(910\) | 10.2174 | + | 17.6971i | 0.338704 | + | 0.586653i | ||||
\(911\) | 1.53361 | − | 1.28685i | 0.0508107 | − | 0.0426353i | −0.617029 | − | 0.786941i | \(-0.711664\pi\) |
0.667839 | + | 0.744305i | \(0.267219\pi\) | |||||||
\(912\) | −0.245194 | − | 1.43042i | −0.00811918 | − | 0.0473661i | ||||
\(913\) | −13.3175 | + | 75.5274i | −0.440745 | + | 2.49959i | ||||
\(914\) | −24.2641 | − | 20.3600i | −0.802584 | − | 0.673448i | ||||
\(915\) | 64.3966 | + | 0.307129i | 2.12889 | + | 0.0101534i | ||||
\(916\) | 16.4995 | + | 6.00532i | 0.545158 | + | 0.198421i | ||||
\(917\) | −9.76691 | −0.322532 | ||||||||
\(918\) | −4.94699 | + | 4.03182i | −0.163275 | + | 0.133070i | ||||
\(919\) | 35.0413 | 1.15591 | 0.577953 | − | 0.816070i | \(-0.303852\pi\) | ||||
0.577953 | + | 0.816070i | \(0.303852\pi\) | |||||||
\(920\) | 24.2259 | + | 8.81750i | 0.798703 | + | 0.290704i | ||||
\(921\) | −3.13065 | − | 5.48267i | −0.103159 | − | 0.180660i | ||||
\(922\) | −5.68523 | − | 4.77048i | −0.187233 | − | 0.157107i | ||||
\(923\) | 0.0248112 | − | 0.140712i | 0.000816672 | − | 0.00463158i | ||||
\(924\) | 7.40534 | + | 2.73539i | 0.243618 | + | 0.0899877i | ||||
\(925\) | 2.36574 | − | 1.98509i | 0.0777852 | − | 0.0652695i | ||||
\(926\) | −12.5222 | − | 21.6890i | −0.411504 | − | 0.712746i | ||||
\(927\) | −25.5239 | + | 9.01518i | −0.838315 | + | 0.296097i | ||||
\(928\) | −0.477398 | + | 0.826878i | −0.0156714 | + | 0.0271436i | ||||
\(929\) | 3.54406 | + | 20.0994i | 0.116277 | + | 0.659439i | 0.986110 | + | 0.166093i | \(0.0531153\pi\) |
−0.869833 | + | 0.493346i | \(0.835774\pi\) | |||||||
\(930\) | 9.10488 | − | 50.2341i | 0.298561 | − | 1.64724i | ||||
\(931\) | −0.787369 | + | 0.286579i | −0.0258050 | + | 0.00939224i | ||||
\(932\) | 1.22708 | − | 0.446620i | 0.0401943 | − | 0.0146295i | ||||
\(933\) | −6.20976 | + | 34.2610i | −0.203298 | + | 1.12165i | ||||
\(934\) | −5.80249 | − | 32.9076i | −0.189863 | − | 1.07677i | ||||
\(935\) | −9.76602 | + | 16.9152i | −0.319383 | + | 0.553187i | ||||
\(936\) | 3.21589 | − | 17.2731i | 0.105115 | − | 0.564589i | ||||
\(937\) | 14.7025 | + | 25.4654i | 0.480309 | + | 0.831919i | 0.999745 | − | 0.0225901i | \(-0.00719126\pi\) |
−0.519436 | + | 0.854509i | \(0.673858\pi\) | |||||||
\(938\) | −11.2314 | + | 9.42423i | −0.366717 | + | 0.307712i | ||||
\(939\) | 53.9952 | + | 19.9448i | 1.76207 | + | 0.650874i | ||||
\(940\) | 5.25718 | − | 29.8149i | 0.171470 | − | 0.972456i | ||||
\(941\) | −18.8660 | − | 15.8304i | −0.615014 | − | 0.516058i | 0.281218 | − | 0.959644i | \(-0.409262\pi\) |
−0.896232 | + | 0.443586i | \(0.853706\pi\) | |||||||
\(942\) | 6.84663 | + | 11.9904i | 0.223075 | + | 0.390669i | ||||
\(943\) | −48.4443 | − | 17.6323i | −1.57756 | − | 0.574186i | ||||
\(944\) | 11.0692 | 0.360271 | ||||||||
\(945\) | −8.83958 | − | 15.8294i | −0.287551 | − | 0.514930i | ||||
\(946\) | −32.3290 | −1.05111 | ||||||||
\(947\) | 44.9500 | + | 16.3604i | 1.46068 | + | 0.531643i | 0.945552 | − | 0.325471i | \(-0.105523\pi\) |
0.515126 | + | 0.857115i | \(0.327745\pi\) | |||||||
\(948\) | −3.60662 | − | 0.0172012i | −0.117138 | − | 0.000558668i | ||||
\(949\) | 10.8189 | + | 9.07816i | 0.351197 | + | 0.294690i | ||||
\(950\) | −1.04387 | + | 5.92007i | −0.0338676 | + | 0.192073i | ||||
\(951\) | 8.06745 | + | 47.0643i | 0.261605 | + | 1.52616i | ||||
\(952\) | 0.940850 | − | 0.789467i | 0.0304931 | − | 0.0255868i | ||||
\(953\) | −2.66478 | − | 4.61554i | −0.0863209 | − | 0.149512i | 0.819632 | − | 0.572890i | \(-0.194178\pi\) |
−0.905953 | + | 0.423378i | \(0.860844\pi\) | |||||||
\(954\) | 3.83915 | + | 23.0568i | 0.124297 | + | 0.746492i | ||||
\(955\) | −3.07532 | + | 5.32662i | −0.0995152 | + | 0.172365i | ||||
\(956\) | 1.09432 | + | 6.20621i | 0.0353929 | + | 0.200723i | ||||
\(957\) | 5.75092 | + | 4.87252i | 0.185901 | + | 0.157506i | ||||
\(958\) | 15.2551 | − | 5.55240i | 0.492870 | − | 0.179390i | ||||
\(959\) | 14.2949 | − | 5.20293i | 0.461607 | − | 0.168011i | ||||
\(960\) | −5.68876 | + | 2.03987i | −0.183604 | + | 0.0658364i | ||||
\(961\) | 7.00883 | + | 39.7490i | 0.226091 | + | 1.28223i | ||||
\(962\) | −1.26052 | + | 2.18328i | −0.0406407 | + | 0.0703918i | ||||
\(963\) | −3.67310 | − | 6.50450i | −0.118364 | − | 0.209605i | ||||
\(964\) | 11.9678 | + | 20.7289i | 0.385458 | + | 0.667633i | ||||
\(965\) | −16.7776 | + | 14.0781i | −0.540091 | + | 0.453190i | ||||
\(966\) | −9.84271 | + | 8.17934i | −0.316684 | + | 0.263166i | ||||
\(967\) | 5.08495 | − | 28.8382i | 0.163521 | − | 0.927374i | −0.787055 | − | 0.616883i | \(-0.788395\pi\) |
0.950576 | − | 0.310491i | \(-0.100494\pi\) | |||||||
\(968\) | −7.48717 | − | 6.28248i | −0.240647 | − | 0.201927i | ||||
\(969\) | −0.898581 | + | 1.53939i | −0.0288666 | + | 0.0494522i | ||||
\(970\) | 44.3179 | + | 16.1304i | 1.42296 | + | 0.517916i | ||||
\(971\) | 25.3779 | 0.814414 | 0.407207 | − | 0.913336i | \(-0.366503\pi\) | ||||
0.407207 | + | 0.913336i | \(0.366503\pi\) | |||||||
\(972\) | −3.07219 | + | 15.2827i | −0.0985404 | + | 0.490194i | ||||
\(973\) | 12.0242 | 0.385479 | ||||||||
\(974\) | 4.71382 | + | 1.71569i | 0.151040 | + | 0.0549742i | ||||
\(975\) | −36.6885 | + | 62.8521i | −1.17497 | + | 2.01288i | ||||
\(976\) | 8.16278 | + | 6.84939i | 0.261284 | + | 0.219244i | ||||
\(977\) | 5.36097 | − | 30.4036i | 0.171513 | − | 0.972696i | −0.770580 | − | 0.637343i | \(-0.780033\pi\) |
0.942093 | − | 0.335353i | \(-0.108856\pi\) | |||||||
\(978\) | 3.85970 | − | 3.20743i | 0.123420 | − | 0.102562i | ||||
\(979\) | 24.5390 | − | 20.5906i | 0.784269 | − | 0.658080i | ||||
\(980\) | 1.74459 | + | 3.02172i | 0.0557288 | + | 0.0965252i | ||||
\(981\) | 1.50956 | + | 2.67321i | 0.0481967 | + | 0.0853489i | ||||
\(982\) | 14.6592 | − | 25.3905i | 0.467794 | − | 0.810243i | ||||
\(983\) | −0.159466 | − | 0.904379i | −0.00508619 | − | 0.0288452i | 0.982159 | − | 0.188052i | \(-0.0602174\pi\) |
−0.987245 | + | 0.159207i | \(0.949106\pi\) | |||||||
\(984\) | 11.3758 | − | 4.07911i | 0.362647 | − | 0.130037i | ||||
\(985\) | 65.7577 | − | 23.9338i | 2.09521 | − | 0.762596i | ||||
\(986\) | 1.10195 | − | 0.401078i | 0.0350933 | − | 0.0127729i | ||||
\(987\) | 11.4664 | + | 9.71503i | 0.364980 | + | 0.309233i | ||||
\(988\) | −0.852140 | − | 4.83273i | −0.0271102 | − | 0.153749i | ||||
\(989\) | 26.2045 | − | 45.3875i | 0.833253 | − | 1.44324i | ||||
\(990\) | 7.83609 | + | 47.0613i | 0.249047 | + | 1.49571i | ||||
\(991\) | −3.22919 | − | 5.59313i | −0.102579 | − | 0.177672i | 0.810168 | − | 0.586198i | \(-0.199376\pi\) |
−0.912746 | + | 0.408527i | \(0.866043\pi\) | |||||||
\(992\) | 6.47125 | − | 5.43002i | 0.205462 | − | 0.172403i | ||||
\(993\) | −6.68106 | − | 38.9763i | −0.212017 | − | 1.23687i | ||||
\(994\) | 0.00423643 | − | 0.0240260i | 0.000134371 | − | 0.000762059i | ||||
\(995\) | −27.9318 | − | 23.4376i | −0.885498 | − | 0.743021i | ||||
\(996\) | 29.1441 | + | 0.138998i | 0.923466 | + | 0.00440431i | ||||
\(997\) | 33.8987 | + | 12.3381i | 1.07358 | + | 0.390752i | 0.817515 | − | 0.575907i | \(-0.195351\pi\) |
0.256067 | + | 0.966659i | \(0.417573\pi\) | |||||||
\(998\) | −13.6411 | −0.431802 | ||||||||
\(999\) | 1.14596 | − | 1.92086i | 0.0362566 | − | 0.0607734i |
(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 | 378.2.u.e.85.3 | ✓ | 36 | |
27.7 | even | 9 | inner | 378.2.u.e.169.3 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.u.e.85.3 | ✓ | 36 | 1.1 | even | 1 | trivial | |
378.2.u.e.169.3 | yes | 36 | 27.7 | even | 9 | inner |