Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(5,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 25, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.bc (of order \(30\), 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: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 5.14 | ||
Character | \(\chi\) | \(=\) | 231.5 |
Dual form | 231.2.bc.a.185.14 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0516949 | + | 0.243205i | −0.0365538 | + | 0.171972i | −0.992638 | − | 0.121121i | \(-0.961351\pi\) |
0.956084 | + | 0.293093i | \(0.0946845\pi\) | |||||||
\(3\) | −1.39546 | − | 1.02601i | −0.805670 | − | 0.592364i | ||||
\(4\) | 1.77061 | + | 0.788328i | 0.885307 | + | 0.394164i | ||||
\(5\) | 2.20131 | + | 2.44480i | 0.984454 | + | 1.09335i | 0.995628 | + | 0.0934089i | \(0.0297764\pi\) |
−0.0111742 | + | 0.999938i | \(0.503557\pi\) | |||||||
\(6\) | 0.321668 | − | 0.286345i | 0.131321 | − | 0.116900i | ||||
\(7\) | −1.85363 | − | 1.88787i | −0.700605 | − | 0.713549i | ||||
\(8\) | −0.575550 | + | 0.792176i | −0.203488 | + | 0.280077i | ||||
\(9\) | 0.894626 | + | 2.86350i | 0.298209 | + | 0.954501i | ||||
\(10\) | −0.708384 | + | 0.408986i | −0.224011 | + | 0.129333i | ||||
\(11\) | −0.953978 | + | 3.17646i | −0.287635 | + | 0.957740i | ||||
\(12\) | −1.66200 | − | 2.91674i | −0.479777 | − | 0.841991i | ||||
\(13\) | 3.76023 | − | 1.22177i | 1.04290 | − | 0.338859i | 0.263022 | − | 0.964790i | \(-0.415281\pi\) |
0.779879 | + | 0.625931i | \(0.215281\pi\) | |||||||
\(14\) | 0.554964 | − | 0.353219i | 0.148320 | − | 0.0944017i | ||||
\(15\) | −0.563462 | − | 5.67017i | −0.145485 | − | 1.46403i | ||||
\(16\) | 2.43088 | + | 2.69977i | 0.607720 | + | 0.674942i | ||||
\(17\) | 2.09698 | − | 0.445727i | 0.508592 | − | 0.108105i | 0.0535336 | − | 0.998566i | \(-0.482952\pi\) |
0.455059 | + | 0.890461i | \(0.349618\pi\) | |||||||
\(18\) | −0.742667 | + | 0.0695495i | −0.175048 | + | 0.0163930i | ||||
\(19\) | −1.08638 | − | 2.44005i | −0.249232 | − | 0.559785i | 0.744996 | − | 0.667069i | \(-0.232451\pi\) |
−0.994228 | + | 0.107284i | \(0.965785\pi\) | |||||||
\(20\) | 1.97036 | + | 6.06414i | 0.440586 | + | 1.35598i | ||||
\(21\) | 0.649699 | + | 4.53629i | 0.141776 | + | 0.989899i | ||||
\(22\) | −0.723218 | − | 0.396220i | −0.154191 | − | 0.0844743i | ||||
\(23\) | 2.67289 | + | 1.54319i | 0.557336 | + | 0.321778i | 0.752075 | − | 0.659077i | \(-0.229053\pi\) |
−0.194740 | + | 0.980855i | \(0.562386\pi\) | |||||||
\(24\) | 1.61594 | − | 0.514935i | 0.329851 | − | 0.105111i | ||||
\(25\) | −0.608646 | + | 5.79088i | −0.121729 | + | 1.15818i | ||||
\(26\) | 0.102757 | + | 0.977669i | 0.0201523 | + | 0.191737i | ||||
\(27\) | 1.68955 | − | 4.91380i | 0.325154 | − | 0.945661i | ||||
\(28\) | −1.79380 | − | 4.80396i | −0.338996 | − | 0.907864i | ||||
\(29\) | 0.643112 | + | 0.885167i | 0.119423 | + | 0.164371i | 0.864543 | − | 0.502559i | \(-0.167608\pi\) |
−0.745120 | + | 0.666930i | \(0.767608\pi\) | |||||||
\(30\) | 1.40814 | + | 0.156082i | 0.257091 | + | 0.0284965i | ||||
\(31\) | −1.74746 | − | 1.57342i | −0.313852 | − | 0.282594i | 0.497116 | − | 0.867684i | \(-0.334392\pi\) |
−0.810968 | + | 0.585090i | \(0.801059\pi\) | |||||||
\(32\) | −2.47826 | + | 1.43082i | −0.438098 | + | 0.252936i | ||||
\(33\) | 4.59031 | − | 3.45385i | 0.799070 | − | 0.601238i | ||||
\(34\) | 0.533039i | 0.0914154i | ||||||||
\(35\) | 0.535066 | − | 8.68753i | 0.0904426 | − | 1.46846i | ||||
\(36\) | −0.673342 | + | 5.77542i | −0.112224 | + | 0.962570i | ||||
\(37\) | −0.441891 | − | 4.20431i | −0.0726464 | − | 0.691185i | −0.968868 | − | 0.247578i | \(-0.920365\pi\) |
0.896222 | − | 0.443607i | \(-0.146301\pi\) | |||||||
\(38\) | 0.649592 | − | 0.138075i | 0.105378 | − | 0.0223987i | ||||
\(39\) | −6.50081 | − | 2.15308i | −1.04096 | − | 0.344769i | ||||
\(40\) | −3.20367 | + | 0.336719i | −0.506545 | + | 0.0532400i | ||||
\(41\) | −7.00598 | − | 5.09014i | −1.09415 | − | 0.794947i | −0.114055 | − | 0.993474i | \(-0.536384\pi\) |
−0.980095 | + | 0.198528i | \(0.936384\pi\) | |||||||
\(42\) | −1.13684 | − | 0.0764926i | −0.175418 | − | 0.0118031i | ||||
\(43\) | −8.92506 | −1.36106 | −0.680530 | − | 0.732721i | \(-0.738250\pi\) | ||||
−0.680530 | + | 0.732721i | \(0.738250\pi\) | |||||||
\(44\) | −4.19322 | + | 4.87225i | −0.632152 | + | 0.734519i | ||||
\(45\) | −5.03134 | + | 8.49062i | −0.750027 | + | 1.26571i | ||||
\(46\) | −0.513487 | + | 0.570286i | −0.0757096 | + | 0.0840840i | ||||
\(47\) | 4.09647 | − | 1.82387i | 0.597531 | − | 0.266038i | −0.0856048 | − | 0.996329i | \(-0.527282\pi\) |
0.683136 | + | 0.730291i | \(0.260616\pi\) | |||||||
\(48\) | −0.622226 | − | 6.26152i | −0.0898106 | − | 0.903772i | ||||
\(49\) | −0.128128 | + | 6.99883i | −0.0183040 | + | 0.999832i | ||||
\(50\) | −1.37691 | − | 0.447385i | −0.194724 | − | 0.0632698i | ||||
\(51\) | −3.38357 | − | 1.52952i | −0.473795 | − | 0.214175i | ||||
\(52\) | 7.62108 | + | 0.801008i | 1.05685 | + | 0.111080i | ||||
\(53\) | −9.56315 | − | 8.61069i | −1.31360 | − | 1.18277i | −0.969848 | − | 0.243709i | \(-0.921636\pi\) |
−0.343751 | − | 0.939061i | \(-0.611697\pi\) | |||||||
\(54\) | 1.10772 | + | 0.664926i | 0.150742 | + | 0.0904850i | ||||
\(55\) | −9.86581 | + | 4.66008i | −1.33031 | + | 0.628366i | ||||
\(56\) | 2.56238 | − | 0.381835i | 0.342413 | − | 0.0510249i | ||||
\(57\) | −0.987500 | + | 4.51962i | −0.130798 | + | 0.598638i | ||||
\(58\) | −0.248523 | + | 0.110650i | −0.0326327 | + | 0.0145290i | ||||
\(59\) | −12.8524 | − | 5.72224i | −1.67323 | − | 0.744972i | −0.999985 | − | 0.00555697i | \(-0.998231\pi\) |
−0.673250 | − | 0.739415i | \(-0.735102\pi\) | |||||||
\(60\) | 3.47228 | − | 10.4839i | 0.448270 | − | 1.35346i | ||||
\(61\) | 5.34548 | − | 4.81310i | 0.684419 | − | 0.616254i | −0.251755 | − | 0.967791i | \(-0.581008\pi\) |
0.936174 | + | 0.351537i | \(0.114341\pi\) | |||||||
\(62\) | 0.472998 | − | 0.343653i | 0.0600708 | − | 0.0436440i | ||||
\(63\) | 3.74762 | − | 6.99681i | 0.472156 | − | 0.881515i | ||||
\(64\) | 2.02538 | + | 6.23348i | 0.253173 | + | 0.779185i | ||||
\(65\) | 11.2644 | + | 6.50351i | 1.39718 | + | 0.806661i | ||||
\(66\) | 0.602699 | + | 1.29493i | 0.0741871 | + | 0.159395i | ||||
\(67\) | 2.65955 | + | 4.60647i | 0.324915 | + | 0.562770i | 0.981495 | − | 0.191487i | \(-0.0613309\pi\) |
−0.656580 | + | 0.754256i | \(0.727998\pi\) | |||||||
\(68\) | 4.06432 | + | 0.863898i | 0.492871 | + | 0.104763i | ||||
\(69\) | −2.14659 | − | 4.89586i | −0.258419 | − | 0.589393i | ||||
\(70\) | 2.08519 | + | 0.579232i | 0.249228 | + | 0.0692315i | ||||
\(71\) | 7.27819 | + | 2.36483i | 0.863762 | + | 0.280653i | 0.707199 | − | 0.707014i | \(-0.249958\pi\) |
0.156563 | + | 0.987668i | \(0.449958\pi\) | |||||||
\(72\) | −2.78330 | − | 0.939386i | −0.328015 | − | 0.110708i | ||||
\(73\) | 4.52441 | − | 10.1620i | 0.529542 | − | 1.18937i | −0.428708 | − | 0.903443i | \(-0.641031\pi\) |
0.958251 | − | 0.285929i | \(-0.0923021\pi\) | |||||||
\(74\) | 1.04536 | + | 0.109871i | 0.121520 | + | 0.0127723i | ||||
\(75\) | 6.79081 | − | 7.45648i | 0.784136 | − | 0.861000i | ||||
\(76\) | − | 5.17680i | − | 0.593820i | ||||||
\(77\) | 7.76508 | − | 4.08699i | 0.884913 | − | 0.465756i | ||||
\(78\) | 0.859700 | − | 1.46973i | 0.0973418 | − | 0.166414i | ||||
\(79\) | 11.1843 | + | 2.37730i | 1.25834 | + | 0.267468i | 0.788361 | − | 0.615212i | \(-0.210930\pi\) |
0.469975 | + | 0.882680i | \(0.344263\pi\) | |||||||
\(80\) | −1.24927 | + | 11.8860i | −0.139673 | + | 1.32890i | ||||
\(81\) | −7.39929 | + | 5.12353i | −0.822143 | + | 0.569281i | ||||
\(82\) | 1.60012 | − | 1.44076i | 0.176704 | − | 0.159105i | ||||
\(83\) | −2.46977 | + | 7.60116i | −0.271092 | + | 0.834335i | 0.719135 | + | 0.694870i | \(0.244538\pi\) |
−0.990227 | + | 0.139465i | \(0.955462\pi\) | |||||||
\(84\) | −2.42572 | + | 8.54419i | −0.264667 | + | 0.932247i | ||||
\(85\) | 5.70581 | + | 4.14551i | 0.618881 | + | 0.449644i | ||||
\(86\) | 0.461380 | − | 2.17062i | 0.0497519 | − | 0.234064i | ||||
\(87\) | 0.0107487 | − | 1.89505i | 0.00115238 | − | 0.203171i | ||||
\(88\) | −1.96726 | − | 2.58393i | −0.209710 | − | 0.275448i | ||||
\(89\) | −1.32783 | + | 2.29987i | −0.140750 | + | 0.243786i | −0.927779 | − | 0.373130i | \(-0.878285\pi\) |
0.787029 | + | 0.616915i | \(0.211618\pi\) | |||||||
\(90\) | −1.80487 | − | 1.66257i | −0.190250 | − | 0.175250i | ||||
\(91\) | −9.27663 | − | 4.83413i | −0.972455 | − | 0.506754i | ||||
\(92\) | 3.51611 | + | 4.83951i | 0.366580 | + | 0.504554i | ||||
\(93\) | 0.824174 | + | 3.98854i | 0.0854629 | + | 0.413593i | ||||
\(94\) | 0.231807 | + | 1.09057i | 0.0239091 | + | 0.112483i | ||||
\(95\) | 3.57397 | − | 8.02726i | 0.366681 | − | 0.823579i | ||||
\(96\) | 4.92635 | + | 0.546047i | 0.502793 | + | 0.0557307i | ||||
\(97\) | −4.76502 | + | 1.54825i | −0.483814 | + | 0.157201i | −0.540761 | − | 0.841177i | \(-0.681864\pi\) |
0.0569466 | + | 0.998377i | \(0.481864\pi\) | |||||||
\(98\) | −1.69553 | − | 0.392965i | −0.171274 | − | 0.0396955i | ||||
\(99\) | −9.94927 | + | 0.110030i | −0.999939 | + | 0.0110584i | ||||
\(100\) | −5.64279 | + | 9.77360i | −0.564279 | + | 0.977360i | ||||
\(101\) | −3.81392 | + | 4.23579i | −0.379499 | + | 0.421477i | −0.902388 | − | 0.430924i | \(-0.858188\pi\) |
0.522889 | + | 0.852401i | \(0.324854\pi\) | |||||||
\(102\) | 0.546901 | − | 0.743835i | 0.0541512 | − | 0.0736507i | ||||
\(103\) | −2.20045 | + | 0.231276i | −0.216816 | + | 0.0227883i | −0.212314 | − | 0.977202i | \(-0.568100\pi\) |
−0.00450262 | + | 0.999990i | \(0.501433\pi\) | |||||||
\(104\) | −1.19634 | + | 3.68196i | −0.117311 | + | 0.361046i | ||||
\(105\) | −9.66011 | + | 11.5741i | −0.942731 | + | 1.12952i | ||||
\(106\) | 2.58853 | − | 1.88068i | 0.251421 | − | 0.182668i | ||||
\(107\) | 0.150565 | + | 0.338174i | 0.0145556 | + | 0.0326925i | 0.920677 | − | 0.390325i | \(-0.127637\pi\) |
−0.906121 | + | 0.423018i | \(0.860971\pi\) | |||||||
\(108\) | 6.86523 | − | 7.36852i | 0.660607 | − | 0.709036i | ||||
\(109\) | −1.37233 | − | 2.37695i | −0.131446 | − | 0.227670i | 0.792788 | − | 0.609497i | \(-0.208629\pi\) |
−0.924234 | + | 0.381827i | \(0.875295\pi\) | |||||||
\(110\) | −0.623346 | − | 2.64032i | −0.0594337 | − | 0.251745i | ||||
\(111\) | −3.69701 | + | 6.32034i | −0.350904 | + | 0.599900i | ||||
\(112\) | 0.590868 | − | 9.59356i | 0.0558318 | − | 0.906506i | ||||
\(113\) | 5.05195 | − | 6.95341i | 0.475247 | − | 0.654122i | −0.502336 | − | 0.864673i | \(-0.667526\pi\) |
0.977583 | + | 0.210551i | \(0.0675258\pi\) | |||||||
\(114\) | −1.04815 | − | 0.473807i | −0.0981680 | − | 0.0443761i | ||||
\(115\) | 2.11105 | + | 9.93170i | 0.196856 | + | 0.926136i | ||||
\(116\) | 0.440900 | + | 2.07427i | 0.0409366 | + | 0.192591i | ||||
\(117\) | 6.86255 | + | 9.67440i | 0.634443 | + | 0.894399i | ||||
\(118\) | 2.05608 | − | 2.82995i | 0.189278 | − | 0.260518i | ||||
\(119\) | −4.72850 | − | 3.13262i | −0.433461 | − | 0.287167i | ||||
\(120\) | 4.81608 | + | 2.81710i | 0.439646 | + | 0.257165i | ||||
\(121\) | −9.17985 | − | 6.06056i | −0.834532 | − | 0.550960i | ||||
\(122\) | 0.894237 | + | 1.54886i | 0.0809604 | + | 0.140227i | ||||
\(123\) | 4.55406 | + | 14.2913i | 0.410626 | + | 1.28860i | ||||
\(124\) | −1.85370 | − | 4.16348i | −0.166467 | − | 0.373892i | ||||
\(125\) | −2.18982 | + | 1.59100i | −0.195864 | + | 0.142303i | ||||
\(126\) | 1.50793 | + | 1.27314i | 0.134337 | + | 0.113420i | ||||
\(127\) | 1.68136 | − | 5.17469i | 0.149196 | − | 0.459179i | −0.848330 | − | 0.529467i | \(-0.822392\pi\) |
0.997527 | + | 0.0702881i | \(0.0223919\pi\) | |||||||
\(128\) | −7.31266 | + | 0.768591i | −0.646354 | + | 0.0679345i | ||||
\(129\) | 12.4546 | + | 9.15716i | 1.09656 | + | 0.806243i | ||||
\(130\) | −2.16400 | + | 2.40337i | −0.189795 | + | 0.210789i | ||||
\(131\) | 7.46017 | − | 12.9214i | 0.651798 | − | 1.12895i | −0.330888 | − | 0.943670i | \(-0.607348\pi\) |
0.982686 | − | 0.185278i | \(-0.0593185\pi\) | |||||||
\(132\) | 10.8504 | − | 2.49676i | 0.944409 | − | 0.217315i | ||||
\(133\) | −2.59275 | + | 6.57388i | −0.224820 | + | 0.570028i | ||||
\(134\) | −1.25780 | + | 0.408685i | −0.108658 | + | 0.0353050i | ||||
\(135\) | 15.7325 | − | 6.68616i | 1.35403 | − | 0.575453i | ||||
\(136\) | −0.853822 | + | 1.91772i | −0.0732147 | + | 0.164443i | ||||
\(137\) | −1.87316 | − | 8.81251i | −0.160035 | − | 0.752904i | −0.982822 | − | 0.184555i | \(-0.940916\pi\) |
0.822788 | − | 0.568349i | \(-0.192418\pi\) | |||||||
\(138\) | 1.30167 | − | 0.268971i | 0.110805 | − | 0.0228963i | ||||
\(139\) | 10.2018 | + | 14.0416i | 0.865307 | + | 1.19099i | 0.980278 | + | 0.197624i | \(0.0633224\pi\) |
−0.114971 | + | 0.993369i | \(0.536678\pi\) | |||||||
\(140\) | 7.79602 | − | 14.9605i | 0.658884 | − | 1.26439i | ||||
\(141\) | −7.58776 | − | 1.65786i | −0.639005 | − | 0.139617i | ||||
\(142\) | −0.951384 | + | 1.64785i | −0.0798384 | + | 0.138284i | ||||
\(143\) | 0.293741 | + | 13.1098i | 0.0245638 | + | 1.09630i | ||||
\(144\) | −5.55606 | + | 9.37611i | −0.463005 | + | 0.781343i | ||||
\(145\) | −0.748369 | + | 3.52080i | −0.0621487 | + | 0.292387i | ||||
\(146\) | 2.23756 | + | 1.62569i | 0.185182 | + | 0.134543i | ||||
\(147\) | 7.35963 | − | 9.63513i | 0.607012 | − | 0.794693i | ||||
\(148\) | 2.53196 | − | 7.79257i | 0.208126 | − | 0.640545i | ||||
\(149\) | −12.7368 | + | 11.4683i | −1.04344 | + | 0.939518i | −0.998231 | − | 0.0594591i | \(-0.981062\pi\) |
−0.0452102 | + | 0.998977i | \(0.514396\pi\) | |||||||
\(150\) | 1.46240 | + | 2.03702i | 0.119405 | + | 0.166322i | ||||
\(151\) | 2.03053 | − | 19.3192i | 0.165242 | − | 1.57218i | −0.526591 | − | 0.850119i | \(-0.676530\pi\) |
0.691833 | − | 0.722058i | \(-0.256803\pi\) | |||||||
\(152\) | 2.55821 | + | 0.543765i | 0.207498 | + | 0.0441051i | ||||
\(153\) | 3.15235 | + | 5.60595i | 0.254853 | + | 0.453214i | ||||
\(154\) | 0.592564 | + | 2.09979i | 0.0477501 | + | 0.169206i | ||||
\(155\) | − | 7.73575i | − | 0.621350i | ||||||
\(156\) | −9.81309 | − | 8.93705i | −0.785676 | − | 0.715536i | ||||
\(157\) | 2.17317 | + | 0.228409i | 0.173437 | + | 0.0182290i | 0.190849 | − | 0.981619i | \(-0.438876\pi\) |
−0.0174116 | + | 0.999848i | \(0.505543\pi\) | |||||||
\(158\) | −1.15635 | + | 2.59720i | −0.0919940 | + | 0.206622i | ||||
\(159\) | 4.51038 | + | 21.8277i | 0.357697 | + | 1.73105i | ||||
\(160\) | −8.95348 | − | 2.90916i | −0.707834 | − | 0.229989i | ||||
\(161\) | −2.04119 | − | 7.90658i | −0.160868 | − | 0.623125i | ||||
\(162\) | −0.863564 | − | 2.06441i | −0.0678480 | − | 0.162195i | ||||
\(163\) | 17.6517 | + | 3.75198i | 1.38258 | + | 0.293877i | 0.838385 | − | 0.545078i | \(-0.183500\pi\) |
0.544200 | + | 0.838956i | \(0.316833\pi\) | |||||||
\(164\) | −8.39219 | − | 14.5357i | −0.655320 | − | 1.13505i | ||||
\(165\) | 18.5486 | + | 3.61940i | 1.44401 | + | 0.281770i | ||||
\(166\) | −1.72097 | − | 0.993602i | −0.133573 | − | 0.0771184i | ||||
\(167\) | −1.14146 | − | 3.51307i | −0.0883292 | − | 0.271849i | 0.897129 | − | 0.441769i | \(-0.145649\pi\) |
−0.985458 | + | 0.169920i | \(0.945649\pi\) | |||||||
\(168\) | −3.96747 | − | 2.09618i | −0.306097 | − | 0.161724i | ||||
\(169\) | 2.12940 | − | 1.54710i | 0.163800 | − | 0.119008i | ||||
\(170\) | −1.30317 | + | 1.17338i | −0.0999487 | + | 0.0899942i | ||||
\(171\) | 6.01517 | − | 5.29377i | 0.459992 | − | 0.404825i | ||||
\(172\) | −15.8028 | − | 7.03588i | −1.20496 | − | 0.536481i | ||||
\(173\) | −22.5604 | + | 10.0445i | −1.71524 | + | 0.763672i | −0.717490 | + | 0.696569i | \(0.754709\pi\) |
−0.997746 | + | 0.0671032i | \(0.978624\pi\) | |||||||
\(174\) | 0.460331 | + | 0.100579i | 0.0348976 | + | 0.00762485i | ||||
\(175\) | 12.0606 | − | 9.58509i | 0.911699 | − | 0.724565i | ||||
\(176\) | −10.8947 | + | 5.14609i | −0.821220 | + | 0.387901i | ||||
\(177\) | 12.0639 | + | 21.1718i | 0.906780 | + | 1.59137i | ||||
\(178\) | −0.490699 | − | 0.441827i | −0.0367794 | − | 0.0331164i | ||||
\(179\) | 5.18715 | + | 0.545192i | 0.387706 | + | 0.0407495i | 0.296377 | − | 0.955071i | \(-0.404222\pi\) |
0.0913295 | + | 0.995821i | \(0.470888\pi\) | |||||||
\(180\) | −15.6020 | + | 11.0673i | −1.16290 | + | 0.824906i | ||||
\(181\) | 13.6726 | + | 4.44250i | 1.01628 | + | 0.330209i | 0.769352 | − | 0.638826i | \(-0.220579\pi\) |
0.246926 | + | 0.969034i | \(0.420579\pi\) | |||||||
\(182\) | 1.65524 | − | 2.00623i | 0.122695 | − | 0.148711i | ||||
\(183\) | −12.3977 | + | 1.23200i | −0.916463 | + | 0.0910717i | ||||
\(184\) | −2.76086 | + | 1.22921i | −0.203533 | + | 0.0906189i | ||||
\(185\) | 9.30595 | − | 10.3353i | 0.684187 | − | 0.759867i | ||||
\(186\) | −1.01264 | − | 0.00574365i | −0.0742504 | − | 0.000421145i | ||||
\(187\) | −0.584638 | + | 7.08620i | −0.0427529 | + | 0.518194i | ||||
\(188\) | 8.69107 | 0.633861 | ||||||||
\(189\) | −12.4084 | + | 5.91869i | −0.902580 | + | 0.430522i | ||||
\(190\) | 1.76752 | + | 1.28418i | 0.128229 | + | 0.0931639i | ||||
\(191\) | 15.9561 | − | 1.67705i | 1.15454 | − | 0.121347i | 0.492153 | − | 0.870508i | \(-0.336210\pi\) |
0.662388 | + | 0.749161i | \(0.269543\pi\) | |||||||
\(192\) | 3.56924 | − | 10.7766i | 0.257588 | − | 0.777737i | ||||
\(193\) | −2.09871 | + | 0.446095i | −0.151069 | + | 0.0321106i | −0.282825 | − | 0.959171i | \(-0.591272\pi\) |
0.131757 | + | 0.991282i | \(0.457938\pi\) | |||||||
\(194\) | −0.130215 | − | 1.23891i | −0.00934890 | − | 0.0889489i | ||||
\(195\) | −9.04642 | − | 20.6327i | −0.647827 | − | 1.47754i | ||||
\(196\) | −5.74424 | + | 12.2912i | −0.410303 | + | 0.877944i | ||||
\(197\) | 5.11325i | 0.364304i | 0.983270 | + | 0.182152i | \(0.0583063\pi\) | ||||
−0.983270 | + | 0.182152i | \(0.941694\pi\) | |||||||
\(198\) | 0.487566 | − | 2.42540i | 0.0346498 | − | 0.172366i | ||||
\(199\) | −3.56079 | + | 2.05582i | −0.252418 | + | 0.145733i | −0.620871 | − | 0.783913i | \(-0.713221\pi\) |
0.368453 | + | 0.929646i | \(0.379887\pi\) | |||||||
\(200\) | −4.23709 | − | 3.81509i | −0.299608 | − | 0.269768i | ||||
\(201\) | 1.01497 | − | 9.15686i | 0.0715903 | − | 0.645875i | ||||
\(202\) | −0.833007 | − | 1.14654i | −0.0586101 | − | 0.0806699i | ||||
\(203\) | 0.478994 | − | 2.85488i | 0.0336188 | − | 0.200374i | ||||
\(204\) | −4.78524 | − | 5.37555i | −0.335034 | − | 0.376364i | ||||
\(205\) | −2.97793 | − | 28.3332i | −0.207988 | − | 1.97887i | ||||
\(206\) | 0.0575042 | − | 0.547116i | 0.00400651 | − | 0.0381194i | ||||
\(207\) | −2.02770 | + | 9.03440i | −0.140935 | + | 0.627934i | ||||
\(208\) | 12.4392 | + | 7.18177i | 0.862502 | + | 0.497966i | ||||
\(209\) | 8.78710 | − | 1.12309i | 0.607816 | − | 0.0776859i | ||||
\(210\) | −2.31551 | − | 2.94772i | −0.159786 | − | 0.203412i | ||||
\(211\) | 4.64802 | + | 14.3051i | 0.319983 | + | 0.984807i | 0.973654 | + | 0.228028i | \(0.0732279\pi\) |
−0.653671 | + | 0.756779i | \(0.726772\pi\) | |||||||
\(212\) | −10.1446 | − | 22.7851i | −0.696733 | − | 1.56489i | ||||
\(213\) | −7.73011 | − | 10.7675i | −0.529659 | − | 0.737776i | ||||
\(214\) | −0.0900292 | + | 0.0191363i | −0.00615427 | + | 0.00130813i | ||||
\(215\) | −19.6468 | − | 21.8200i | −1.33990 | − | 1.48811i | ||||
\(216\) | 2.92017 | + | 4.16656i | 0.198693 | + | 0.283498i | ||||
\(217\) | 0.268723 | + | 6.21550i | 0.0182421 | + | 0.421936i | ||||
\(218\) | 0.649029 | − | 0.210882i | 0.0439578 | − | 0.0142828i | ||||
\(219\) | −16.7399 | + | 9.53861i | −1.13118 | + | 0.644559i | ||||
\(220\) | −21.1422 | + | 0.473717i | −1.42541 | + | 0.0319380i | ||||
\(221\) | 7.34056 | − | 4.23807i | 0.493779 | − | 0.285084i | ||||
\(222\) | −1.34602 | − | 1.22586i | −0.0903393 | − | 0.0822744i | ||||
\(223\) | −14.9590 | + | 20.5893i | −1.00173 | + | 1.37876i | −0.0774668 | + | 0.996995i | \(0.524683\pi\) |
−0.924260 | + | 0.381764i | \(0.875317\pi\) | |||||||
\(224\) | 7.29498 | + | 2.02642i | 0.487416 | + | 0.135396i | ||||
\(225\) | −17.1267 | + | 3.43781i | −1.14178 | + | 0.229188i | ||||
\(226\) | 1.42995 | + | 1.58812i | 0.0951187 | + | 0.105640i | ||||
\(227\) | 9.32523 | + | 4.15186i | 0.618937 | + | 0.275569i | 0.692157 | − | 0.721747i | \(-0.256661\pi\) |
−0.0732195 | + | 0.997316i | \(0.523327\pi\) | |||||||
\(228\) | −5.31143 | + | 7.22403i | −0.351758 | + | 0.478423i | ||||
\(229\) | −0.193867 | + | 0.912075i | −0.0128111 | + | 0.0602716i | −0.984089 | − | 0.177677i | \(-0.943142\pi\) |
0.971278 | + | 0.237949i | \(0.0764750\pi\) | |||||||
\(230\) | −2.52457 | −0.166466 | ||||||||
\(231\) | −15.0291 | − | 2.26377i | −0.988845 | − | 0.148945i | ||||
\(232\) | −1.07135 | −0.0703377 | ||||||||
\(233\) | −1.66568 | + | 7.83642i | −0.109122 | + | 0.513381i | 0.889305 | + | 0.457315i | \(0.151189\pi\) |
−0.998427 | + | 0.0560656i | \(0.982144\pi\) | |||||||
\(234\) | −2.70763 | + | 1.16889i | −0.177003 | + | 0.0764129i | ||||
\(235\) | 13.4766 | + | 6.00015i | 0.879114 | + | 0.391407i | ||||
\(236\) | −18.2456 | − | 20.2638i | −1.18769 | − | 1.31906i | ||||
\(237\) | −13.1682 | − | 14.7926i | −0.855365 | − | 0.960884i | ||||
\(238\) | 1.00631 | − | 0.988055i | 0.0652294 | − | 0.0640461i | ||||
\(239\) | 11.3660 | − | 15.6439i | 0.735202 | − | 1.01192i | −0.263678 | − | 0.964611i | \(-0.584936\pi\) |
0.998880 | − | 0.0473083i | \(-0.0150643\pi\) | |||||||
\(240\) | 13.9384 | − | 15.3047i | 0.899722 | − | 0.987916i | ||||
\(241\) | −6.83704 | + | 3.94737i | −0.440412 | + | 0.254272i | −0.703773 | − | 0.710425i | \(-0.748503\pi\) |
0.263360 | + | 0.964698i | \(0.415169\pi\) | |||||||
\(242\) | 1.94851 | − | 1.91929i | 0.125255 | − | 0.123377i | ||||
\(243\) | 15.5822 | + | 0.442021i | 0.999598 | + | 0.0283557i | ||||
\(244\) | 13.2591 | − | 4.30814i | 0.848826 | − | 0.275800i | ||||
\(245\) | −17.3928 | + | 15.0933i | −1.11118 | + | 0.964276i | ||||
\(246\) | −3.71114 | + | 0.368787i | −0.236613 | + | 0.0235130i | ||||
\(247\) | −7.06622 | − | 7.84783i | −0.449613 | − | 0.499346i | ||||
\(248\) | 2.25217 | − | 0.478714i | 0.143013 | − | 0.0303984i | ||||
\(249\) | 11.2453 | − | 8.07313i | 0.712641 | − | 0.511614i | ||||
\(250\) | −0.273737 | − | 0.614824i | −0.0173127 | − | 0.0388849i | ||||
\(251\) | 7.54534 | + | 23.2222i | 0.476258 | + | 1.46577i | 0.844254 | + | 0.535943i | \(0.180044\pi\) |
−0.367996 | + | 0.929827i | \(0.619956\pi\) | |||||||
\(252\) | 12.1514 | − | 9.43429i | 0.765465 | − | 0.594304i | ||||
\(253\) | −7.45177 | + | 7.01816i | −0.468489 | + | 0.441228i | ||||
\(254\) | 1.17159 | + | 0.676420i | 0.0735123 | + | 0.0424424i | ||||
\(255\) | −3.70892 | − | 11.6391i | −0.232261 | − | 0.728868i | ||||
\(256\) | −1.17911 | + | 11.2185i | −0.0736947 | + | 0.701158i | ||||
\(257\) | −0.353859 | − | 3.36674i | −0.0220731 | − | 0.210012i | −0.999999 | − | 0.00106166i | \(-0.999662\pi\) |
0.977926 | − | 0.208950i | \(-0.0670046\pi\) | |||||||
\(258\) | −2.87091 | + | 2.55564i | −0.178735 | + | 0.159107i | ||||
\(259\) | −7.11811 | + | 8.62747i | −0.442298 | + | 0.536085i | ||||
\(260\) | 14.8180 | + | 20.3953i | 0.918975 | + | 1.26486i | ||||
\(261\) | −1.95933 | + | 2.63345i | −0.121280 | + | 0.163006i | ||||
\(262\) | 2.75690 | + | 2.48233i | 0.170322 | + | 0.153359i | ||||
\(263\) | −24.1616 | + | 13.9497i | −1.48987 | + | 0.860177i | −0.999933 | − | 0.0115808i | \(-0.996314\pi\) |
−0.489937 | + | 0.871758i | \(0.662980\pi\) | |||||||
\(264\) | 0.0941048 | + | 5.62420i | 0.00579175 | + | 0.346145i | ||||
\(265\) | − | 42.3347i | − | 2.60060i | ||||||
\(266\) | −1.46477 | − | 0.970408i | −0.0898109 | − | 0.0594995i | ||||
\(267\) | 4.21262 | − | 1.84702i | 0.257808 | − | 0.113036i | ||||
\(268\) | 1.07762 | + | 10.2529i | 0.0658262 | + | 0.626294i | ||||
\(269\) | 5.43425 | − | 1.15509i | 0.331332 | − | 0.0704268i | −0.0392420 | − | 0.999230i | \(-0.512494\pi\) |
0.370574 | + | 0.928803i | \(0.379161\pi\) | |||||||
\(270\) | 0.812822 | + | 4.17186i | 0.0494668 | + | 0.253891i | ||||
\(271\) | −15.2132 | + | 1.59897i | −0.924134 | + | 0.0971304i | −0.554628 | − | 0.832098i | \(-0.687140\pi\) |
−0.369505 | + | 0.929229i | \(0.620473\pi\) | |||||||
\(272\) | 6.30087 | + | 4.57785i | 0.382046 | + | 0.277573i | ||||
\(273\) | 7.98533 | + | 16.2637i | 0.483294 | + | 0.984324i | ||||
\(274\) | 2.24008 | 0.135328 | ||||||||
\(275\) | −17.8139 | − | 7.45771i | −1.07422 | − | 0.449717i | ||||
\(276\) | 0.0587665 | − | 10.3609i | 0.00353733 | − | 0.623653i | ||||
\(277\) | 6.19807 | − | 6.88366i | 0.372406 | − | 0.413599i | −0.527588 | − | 0.849500i | \(-0.676904\pi\) |
0.899994 | + | 0.435901i | \(0.143570\pi\) | |||||||
\(278\) | −3.94237 | + | 1.75526i | −0.236448 | + | 0.105273i | ||||
\(279\) | 2.94216 | − | 6.41146i | 0.176143 | − | 0.383844i | ||||
\(280\) | 6.57410 | + | 5.42397i | 0.392878 | + | 0.324144i | ||||
\(281\) | 22.3445 | + | 7.26018i | 1.33296 | + | 0.433106i | 0.886927 | − | 0.461909i | \(-0.152835\pi\) |
0.446036 | + | 0.895015i | \(0.352835\pi\) | |||||||
\(282\) | 0.795450 | − | 1.75968i | 0.0473684 | − | 0.104787i | ||||
\(283\) | −10.2459 | − | 1.07689i | −0.609056 | − | 0.0640144i | −0.205021 | − | 0.978758i | \(-0.565726\pi\) |
−0.404035 | + | 0.914743i | \(0.632393\pi\) | |||||||
\(284\) | 11.0226 | + | 9.92480i | 0.654072 | + | 0.588929i | ||||
\(285\) | −13.2233 | + | 7.53482i | −0.783283 | + | 0.446324i | ||||
\(286\) | −3.20356 | − | 0.606270i | −0.189430 | − | 0.0358495i | ||||
\(287\) | 3.37694 | + | 22.6616i | 0.199334 | + | 1.33767i | ||||
\(288\) | −6.31428 | − | 5.81645i | −0.372073 | − | 0.342737i | ||||
\(289\) | −11.3316 | + | 5.04516i | −0.666566 | + | 0.296774i | ||||
\(290\) | −0.817591 | − | 0.364015i | −0.0480106 | − | 0.0213757i | ||||
\(291\) | 8.23791 | + | 2.72841i | 0.482915 | + | 0.159942i | ||||
\(292\) | 16.0220 | − | 14.4263i | 0.937616 | − | 0.844233i | ||||
\(293\) | −10.7055 | + | 7.77798i | −0.625421 | + | 0.454395i | −0.854811 | − | 0.518940i | \(-0.826327\pi\) |
0.229390 | + | 0.973335i | \(0.426327\pi\) | |||||||
\(294\) | 1.96286 | + | 2.28799i | 0.114476 | + | 0.133438i | ||||
\(295\) | −14.3022 | − | 44.0178i | −0.832709 | − | 2.56282i | ||||
\(296\) | 3.58489 | + | 2.06974i | 0.208367 | + | 0.120301i | ||||
\(297\) | 13.9967 | + | 10.0545i | 0.812172 | + | 0.583419i | ||||
\(298\) | −2.13072 | − | 3.69052i | −0.123429 | − | 0.213786i | ||||
\(299\) | 11.9361 | + | 2.53710i | 0.690283 | + | 0.146724i | ||||
\(300\) | 17.9021 | − | 7.84915i | 1.03358 | − | 0.453171i | ||||
\(301\) | 16.5437 | + | 16.8494i | 0.953565 | + | 0.971182i | ||||
\(302\) | 4.59357 | + | 1.49254i | 0.264330 | + | 0.0858862i | ||||
\(303\) | 9.66812 | − | 1.99778i | 0.555419 | − | 0.114769i | ||||
\(304\) | 3.94670 | − | 8.86443i | 0.226359 | − | 0.508410i | ||||
\(305\) | 23.5341 | + | 2.47353i | 1.34756 | + | 0.141634i | ||||
\(306\) | −1.52636 | + | 0.476870i | −0.0872561 | + | 0.0272609i | ||||
\(307\) | − | 19.1660i | − | 1.09386i | −0.837178 | − | 0.546930i | \(-0.815796\pi\) | ||
0.837178 | − | 0.546930i | \(-0.184204\pi\) | |||||||
\(308\) | 16.9709 | − | 1.11505i | 0.967004 | − | 0.0635362i | ||||
\(309\) | 3.30793 | + | 1.93493i | 0.188182 | + | 0.110074i | ||||
\(310\) | 1.88138 | + | 0.399899i | 0.106855 | + | 0.0227127i | ||||
\(311\) | 0.188000 | − | 1.78870i | 0.0106605 | − | 0.101428i | −0.987898 | − | 0.155106i | \(-0.950428\pi\) |
0.998558 | + | 0.0536786i | \(0.0170946\pi\) | |||||||
\(312\) | 5.44716 | − | 3.91058i | 0.308385 | − | 0.221393i | ||||
\(313\) | −2.55832 | + | 2.30352i | −0.144605 | + | 0.130203i | −0.738259 | − | 0.674518i | \(-0.764352\pi\) |
0.593654 | + | 0.804721i | \(0.297685\pi\) | |||||||
\(314\) | −0.167892 | + | 0.516718i | −0.00947469 | + | 0.0291601i | ||||
\(315\) | 25.3554 | − | 6.23993i | 1.42862 | − | 0.351580i | ||||
\(316\) | 17.9290 | + | 13.0262i | 1.00859 | + | 0.732782i | ||||
\(317\) | 0.453022 | − | 2.13130i | 0.0254442 | − | 0.119706i | −0.963593 | − | 0.267375i | \(-0.913844\pi\) |
0.989037 | + | 0.147669i | \(0.0471771\pi\) | |||||||
\(318\) | −5.54179 | − | 0.0314328i | −0.310768 | − | 0.00176266i | ||||
\(319\) | −3.42522 | + | 1.19839i | −0.191775 | + | 0.0670970i | ||||
\(320\) | −10.7811 | + | 18.6734i | −0.602683 | + | 1.04388i | ||||
\(321\) | 0.136861 | − | 0.626389i | 0.00763883 | − | 0.0349616i | ||||
\(322\) | 2.02844 | − | 0.0876981i | 0.113041 | − | 0.00488723i | ||||
\(323\) | −3.36571 | − | 4.63250i | −0.187273 | − | 0.257759i | ||||
\(324\) | −17.1403 | + | 3.23873i | −0.952239 | + | 0.179929i | ||||
\(325\) | 4.78649 | + | 22.5187i | 0.265507 | + | 1.24911i | ||||
\(326\) | −1.82500 | + | 4.09902i | −0.101078 | + | 0.227024i | ||||
\(327\) | −0.523725 | + | 4.72496i | −0.0289621 | + | 0.261291i | ||||
\(328\) | 8.06458 | − | 2.62034i | 0.445292 | − | 0.144684i | ||||
\(329\) | −11.0366 | − | 4.35284i | −0.608465 | − | 0.239980i | ||||
\(330\) | −1.83913 | + | 4.32402i | −0.101241 | + | 0.238030i | ||||
\(331\) | 0.773139 | − | 1.33912i | 0.0424956 | − | 0.0736045i | −0.843995 | − | 0.536351i | \(-0.819802\pi\) |
0.886491 | + | 0.462746i | \(0.153136\pi\) | |||||||
\(332\) | −10.3652 | + | 11.5117i | −0.568865 | + | 0.631788i | ||||
\(333\) | 11.6437 | − | 5.02664i | 0.638073 | − | 0.275458i | ||||
\(334\) | 0.913405 | − | 0.0960027i | 0.0499793 | − | 0.00525303i | ||||
\(335\) | −5.40741 | + | 16.6423i | −0.295438 | + | 0.909266i | ||||
\(336\) | −10.6676 | + | 12.7812i | −0.581964 | + | 0.697272i | ||||
\(337\) | −19.1289 | + | 13.8980i | −1.04202 | + | 0.757071i | −0.970678 | − | 0.240382i | \(-0.922727\pi\) |
−0.0713397 | + | 0.997452i | \(0.522727\pi\) | |||||||
\(338\) | 0.266184 | + | 0.597859i | 0.0144785 | + | 0.0325192i | ||||
\(339\) | −14.1840 | + | 4.51989i | −0.770371 | + | 0.245487i | ||||
\(340\) | 6.83476 | + | 11.8381i | 0.370667 | + | 0.642014i | ||||
\(341\) | 6.66494 | − | 4.04973i | 0.360927 | − | 0.219305i | ||||
\(342\) | 0.976521 | + | 1.73658i | 0.0528042 | + | 0.0939037i | ||||
\(343\) | 13.4504 | − | 12.7313i | 0.726253 | − | 0.687427i | ||||
\(344\) | 5.13682 | − | 7.07022i | 0.276959 | − | 0.381201i | ||||
\(345\) | 7.24409 | − | 16.0253i | 0.390009 | − | 0.862771i | ||||
\(346\) | −1.27663 | − | 6.00606i | −0.0686320 | − | 0.322888i | ||||
\(347\) | −2.65999 | − | 12.5143i | −0.142796 | − | 0.671802i | −0.990062 | − | 0.140633i | \(-0.955086\pi\) |
0.847266 | − | 0.531169i | \(-0.178247\pi\) | |||||||
\(348\) | 1.51296 | − | 3.34693i | 0.0811029 | − | 0.179415i | ||||
\(349\) | −12.9935 | + | 17.8840i | −0.695524 | + | 0.957307i | 0.304464 | + | 0.952524i | \(0.401523\pi\) |
−0.999989 | + | 0.00478345i | \(0.998477\pi\) | |||||||
\(350\) | 1.70767 | + | 3.42872i | 0.0912789 | + | 0.183273i | ||||
\(351\) | 0.349557 | − | 20.5413i | 0.0186580 | − | 1.09641i | ||||
\(352\) | −2.18075 | − | 9.23707i | −0.116235 | − | 0.492338i | ||||
\(353\) | −16.3390 | − | 28.3000i | −0.869639 | − | 1.50626i | −0.862366 | − | 0.506285i | \(-0.831018\pi\) |
−0.00727273 | − | 0.999974i | \(-0.502315\pi\) | |||||||
\(354\) | −5.77273 | + | 1.83954i | −0.306817 | + | 0.0977705i | ||||
\(355\) | 10.2400 | + | 22.9994i | 0.543483 | + | 1.22068i | ||||
\(356\) | −4.16413 | + | 3.02542i | −0.220698 | + | 0.160347i | ||||
\(357\) | 3.38435 | + | 9.22291i | 0.179119 | + | 0.488128i | ||||
\(358\) | −0.400743 | + | 1.23336i | −0.0211799 | + | 0.0651851i | ||||
\(359\) | −18.5037 | + | 1.94482i | −0.976589 | + | 0.102644i | −0.579356 | − | 0.815074i | \(-0.696696\pi\) |
−0.397232 | + | 0.917718i | \(0.630029\pi\) | |||||||
\(360\) | −3.83029 | − | 8.87248i | −0.201874 | − | 0.467621i | ||||
\(361\) | 7.93988 | − | 8.81813i | 0.417888 | − | 0.464112i | ||||
\(362\) | −1.78725 | + | 3.09560i | −0.0939356 | + | 0.162701i | ||||
\(363\) | 6.59197 | + | 17.8758i | 0.345989 | + | 0.938239i | ||||
\(364\) | −12.6144 | − | 15.8724i | −0.661177 | − | 0.831940i | ||||
\(365\) | 34.8036 | − | 11.3084i | 1.82171 | − | 0.591908i | ||||
\(366\) | 0.341269 | − | 3.07887i | 0.0178384 | − | 0.160935i | ||||
\(367\) | 5.36742 | − | 12.0554i | 0.280177 | − | 0.629288i | −0.717562 | − | 0.696495i | \(-0.754742\pi\) |
0.997739 | + | 0.0672066i | \(0.0214086\pi\) | |||||||
\(368\) | 2.33121 | + | 10.9675i | 0.121523 | + | 0.571720i | ||||
\(369\) | 8.30790 | − | 24.6154i | 0.432492 | − | 1.28143i | ||||
\(370\) | 2.03253 | + | 2.79754i | 0.105666 | + | 0.145437i | ||||
\(371\) | 1.47061 | + | 34.0150i | 0.0763505 | + | 1.76597i | ||||
\(372\) | −1.68499 | + | 7.71189i | −0.0873624 | + | 0.399843i | ||||
\(373\) | −4.57581 | + | 7.92554i | −0.236927 | + | 0.410369i | −0.959831 | − | 0.280579i | \(-0.909473\pi\) |
0.722904 | + | 0.690948i | \(0.242807\pi\) | |||||||
\(374\) | −1.69318 | − | 0.508507i | −0.0875522 | − | 0.0262943i | ||||
\(375\) | 4.68819 | + | 0.0265912i | 0.242097 | + | 0.00137316i | ||||
\(376\) | −0.912899 | + | 4.29485i | −0.0470792 | + | 0.221490i | ||||
\(377\) | 3.49972 | + | 2.54270i | 0.180245 | + | 0.130956i | ||||
\(378\) | −0.798006 | − | 3.32376i | −0.0410450 | − | 0.170956i | ||||
\(379\) | 6.71797 | − | 20.6758i | 0.345079 | − | 1.06204i | −0.616463 | − | 0.787384i | \(-0.711435\pi\) |
0.961542 | − | 0.274659i | \(-0.0885651\pi\) | |||||||
\(380\) | 12.6562 | − | 11.3957i | 0.649251 | − | 0.584588i | ||||
\(381\) | −7.65552 | + | 5.49599i | −0.392204 | + | 0.281568i | ||||
\(382\) | −0.416980 | + | 3.96730i | −0.0213345 | + | 0.202985i | ||||
\(383\) | −14.6521 | − | 3.11441i | −0.748689 | − | 0.159139i | −0.182261 | − | 0.983250i | \(-0.558342\pi\) |
−0.566428 | + | 0.824111i | \(0.691675\pi\) | |||||||
\(384\) | 10.9931 | + | 6.43029i | 0.560990 | + | 0.328144i | ||||
\(385\) | 27.0852 | + | 9.98733i | 1.38039 | + | 0.509001i | ||||
\(386\) | − | 0.533479i | − | 0.0271534i | ||||||
\(387\) | −7.98459 | − | 25.5569i | −0.405880 | − | 1.29913i | ||||
\(388\) | −9.65753 | − | 1.01505i | −0.490287 | − | 0.0515312i | ||||
\(389\) | −6.92357 | + | 15.5506i | −0.351039 | + | 0.788446i | 0.648588 | + | 0.761139i | \(0.275360\pi\) |
−0.999627 | + | 0.0273065i | \(0.991307\pi\) | |||||||
\(390\) | 5.48565 | − | 1.13353i | 0.277777 | − | 0.0573985i | ||||
\(391\) | 6.29283 | + | 2.04467i | 0.318242 | + | 0.103403i | ||||
\(392\) | −5.47056 | − | 4.12967i | −0.276305 | − | 0.208580i | ||||
\(393\) | −23.6678 | + | 10.3771i | −1.19388 | + | 0.523457i | ||||
\(394\) | −1.24357 | − | 0.264329i | −0.0626501 | − | 0.0133167i | ||||
\(395\) | 18.8081 | + | 32.5766i | 0.946339 | + | 1.63911i | ||||
\(396\) | −17.7031 | − | 7.64847i | −0.889612 | − | 0.384350i | ||||
\(397\) | −3.28111 | − | 1.89435i | −0.164674 | − | 0.0950747i | 0.415398 | − | 0.909640i | \(-0.363642\pi\) |
−0.580072 | + | 0.814565i | \(0.696976\pi\) | |||||||
\(398\) | −0.315912 | − | 0.972279i | −0.0158353 | − | 0.0487359i | ||||
\(399\) | 10.3629 | − | 6.51342i | 0.518795 | − | 0.326079i | ||||
\(400\) | −17.1136 | + | 12.4337i | −0.855678 | + | 0.621687i | ||||
\(401\) | 25.9554 | − | 23.3703i | 1.29615 | − | 1.16706i | 0.320617 | − | 0.947209i | \(-0.396110\pi\) |
0.975534 | − | 0.219850i | \(-0.0705567\pi\) | |||||||
\(402\) | 2.17453 | + | 0.720209i | 0.108456 | + | 0.0359207i | ||||
\(403\) | −8.49320 | − | 3.78142i | −0.423077 | − | 0.188366i | ||||
\(404\) | −10.0922 | + | 4.49333i | −0.502105 | + | 0.223551i | ||||
\(405\) | −28.8141 | − | 6.81131i | −1.43178 | − | 0.338457i | ||||
\(406\) | 0.669562 | + | 0.264077i | 0.0332298 | + | 0.0131059i | ||||
\(407\) | 13.7764 | + | 2.60717i | 0.682871 | + | 0.129233i | ||||
\(408\) | 3.15906 | − | 1.80007i | 0.156397 | − | 0.0891169i | ||||
\(409\) | 1.46541 | + | 1.31946i | 0.0724600 | + | 0.0652433i | 0.704565 | − | 0.709640i | \(-0.251142\pi\) |
−0.632105 | + | 0.774883i | \(0.717809\pi\) | |||||||
\(410\) | 7.04472 | + | 0.740430i | 0.347914 | + | 0.0365672i | ||||
\(411\) | −6.42776 | + | 14.2194i | −0.317058 | + | 0.701391i | ||||
\(412\) | −4.07846 | − | 1.32517i | −0.200931 | − | 0.0652866i | ||||
\(413\) | 13.0206 | + | 34.8705i | 0.640703 | + | 1.71587i | ||||
\(414\) | −2.09239 | − | 0.960180i | −0.102836 | − | 0.0471903i | ||||
\(415\) | −24.0200 | + | 10.6944i | −1.17910 | + | 0.524967i | ||||
\(416\) | −7.57069 | + | 8.40810i | −0.371183 | + | 0.412241i | ||||
\(417\) | 0.170508 | − | 30.0616i | 0.00834982 | − | 1.47212i | ||||
\(418\) | −0.181106 | + | 2.19513i | −0.00885820 | + | 0.107367i | ||||
\(419\) | −32.8236 | −1.60354 | −0.801769 | − | 0.597634i | \(-0.796108\pi\) | ||||
−0.801769 | + | 0.597634i | \(0.796108\pi\) | |||||||
\(420\) | −26.2286 | + | 12.8780i | −1.27982 | + | 0.628381i | ||||
\(421\) | 5.78485 | + | 4.20294i | 0.281936 | + | 0.204839i | 0.719762 | − | 0.694221i | \(-0.244251\pi\) |
−0.437825 | + | 0.899060i | \(0.644251\pi\) | |||||||
\(422\) | −3.71937 | + | 0.390921i | −0.181056 | + | 0.0190298i | ||||
\(423\) | 8.88745 | + | 10.0986i | 0.432123 | + | 0.491009i | ||||
\(424\) | 12.3253 | − | 2.61981i | 0.598567 | − | 0.127229i | ||||
\(425\) | 1.30483 | + | 12.4146i | 0.0632937 | + | 0.602199i | ||||
\(426\) | 3.01832 | − | 1.32338i | 0.146238 | − | 0.0641180i | ||||
\(427\) | −18.9951 | − | 1.16991i | −0.919235 | − | 0.0566158i | ||||
\(428\) | 0.717470i | 0.0346802i | ||||||||
\(429\) | 13.0408 | − | 18.5956i | 0.629616 | − | 0.897804i | ||||
\(430\) | 6.32237 | − | 3.65022i | 0.304892 | − | 0.176029i | ||||
\(431\) | −1.63153 | − | 1.46903i | −0.0785878 | − | 0.0707608i | 0.628901 | − | 0.777486i | \(-0.283505\pi\) |
−0.707488 | + | 0.706725i | \(0.750172\pi\) | |||||||
\(432\) | 17.3732 | − | 7.38346i | 0.835869 | − | 0.355237i | ||||
\(433\) | 8.23372 | + | 11.3327i | 0.395687 | + | 0.544617i | 0.959655 | − | 0.281180i | \(-0.0907258\pi\) |
−0.563968 | + | 0.825797i | \(0.690726\pi\) | |||||||
\(434\) | −1.52554 | − | 0.255955i | −0.0732281 | − | 0.0122862i | ||||
\(435\) | 4.65668 | − | 4.14531i | 0.223271 | − | 0.198752i | ||||
\(436\) | −0.556055 | − | 5.29051i | −0.0266302 | − | 0.253369i | ||||
\(437\) | 0.861693 | − | 8.19846i | 0.0412203 | − | 0.392185i | ||||
\(438\) | −1.45447 | − | 4.56433i | −0.0694974 | − | 0.218092i | ||||
\(439\) | −12.4554 | − | 7.19115i | −0.594466 | − | 0.343215i | 0.172395 | − | 0.985028i | \(-0.444849\pi\) |
−0.766861 | + | 0.641813i | \(0.778183\pi\) | |||||||
\(440\) | 1.98666 | − | 10.4976i | 0.0947101 | − | 0.500452i | ||||
\(441\) | −20.1558 | + | 5.89444i | −0.959799 | + | 0.280688i | ||||
\(442\) | 0.651253 | + | 2.00435i | 0.0309769 | + | 0.0953372i | ||||
\(443\) | 3.09053 | + | 6.94144i | 0.146835 | + | 0.329798i | 0.971957 | − | 0.235157i | \(-0.0755604\pi\) |
−0.825122 | + | 0.564955i | \(0.808894\pi\) | |||||||
\(444\) | −11.5285 | + | 8.27643i | −0.547117 | + | 0.392782i | ||||
\(445\) | −8.54568 | + | 1.81644i | −0.405104 | + | 0.0861075i | ||||
\(446\) | −4.23412 | − | 4.70246i | −0.200491 | − | 0.222668i | ||||
\(447\) | 29.5403 | − | 2.93551i | 1.39721 | − | 0.138845i | ||||
\(448\) | 8.01372 | − | 15.3782i | 0.378613 | − | 0.726553i | ||||
\(449\) | −11.5562 | + | 3.75484i | −0.545371 | + | 0.177202i | −0.568728 | − | 0.822525i | \(-0.692564\pi\) |
0.0233573 | + | 0.999727i | \(0.492564\pi\) | |||||||
\(450\) | 0.0492685 | − | 4.34303i | 0.00232254 | − | 0.204732i | ||||
\(451\) | 22.8522 | − | 17.3984i | 1.07607 | − | 0.819257i | ||||
\(452\) | 14.4266 | − | 8.32921i | 0.678571 | − | 0.391773i | ||||
\(453\) | −22.6552 | + | 24.8759i | −1.06443 | + | 1.16877i | ||||
\(454\) | −1.49182 | + | 2.05332i | −0.0700147 | + | 0.0963669i | ||||
\(455\) | −8.60222 | − | 33.3209i | −0.403278 | − | 1.56211i | ||||
\(456\) | −3.01198 | − | 3.38354i | −0.141049 | − | 0.158449i | ||||
\(457\) | 19.7688 | + | 21.9555i | 0.924746 | + | 1.02703i | 0.999555 | + | 0.0298365i | \(0.00949865\pi\) |
−0.0748089 | + | 0.997198i | \(0.523835\pi\) | |||||||
\(458\) | −0.211800 | − | 0.0942992i | −0.00989674 | − | 0.00440631i | ||||
\(459\) | 1.35274 | − | 11.0572i | 0.0631407 | − | 0.516107i | ||||
\(460\) | −4.09159 | + | 19.2494i | −0.190771 | + | 0.897509i | ||||
\(461\) | 14.7329 | 0.686180 | 0.343090 | − | 0.939303i | \(-0.388526\pi\) | ||||
0.343090 | + | 0.939303i | \(0.388526\pi\) | |||||||
\(462\) | 1.32749 | − | 3.53815i | 0.0617605 | − | 0.164609i | ||||
\(463\) | 39.9889 | 1.85844 | 0.929221 | − | 0.369525i | \(-0.120480\pi\) | ||||
0.929221 | + | 0.369525i | \(0.120480\pi\) | |||||||
\(464\) | −0.826417 | + | 3.88799i | −0.0383655 | + | 0.180495i | ||||
\(465\) | −7.93692 | + | 10.7949i | −0.368066 | + | 0.500603i | ||||
\(466\) | −1.81975 | − | 0.810206i | −0.0842984 | − | 0.0375321i | ||||
\(467\) | 0.276387 | + | 0.306959i | 0.0127897 | + | 0.0142043i | 0.749506 | − | 0.661998i | \(-0.230291\pi\) |
−0.736716 | + | 0.676202i | \(0.763625\pi\) | |||||||
\(468\) | 4.52433 | + | 22.5396i | 0.209137 | + | 1.04189i | ||||
\(469\) | 3.76662 | − | 13.5596i | 0.173926 | − | 0.626123i | ||||
\(470\) | −2.15594 | + | 2.96739i | −0.0994460 | + | 0.136876i | ||||
\(471\) | −2.79822 | − | 2.54842i | −0.128935 | − | 0.117425i | ||||
\(472\) | 11.9302 | − | 6.88790i | 0.549132 | − | 0.317041i | ||||
\(473\) | 8.51431 | − | 28.3501i | 0.391489 | − | 1.30354i | ||||
\(474\) | 4.27837 | − | 2.43787i | 0.196512 | − | 0.111975i | ||||
\(475\) | 14.7912 | − | 4.80596i | 0.678668 | − | 0.220513i | ||||
\(476\) | −5.90281 | − | 9.27427i | −0.270555 | − | 0.425085i | ||||
\(477\) | 16.1013 | − | 35.0874i | 0.737228 | − | 1.60654i | ||||
\(478\) | 3.21712 | + | 3.57297i | 0.147147 | + | 0.163424i | ||||
\(479\) | 7.10632 | − | 1.51050i | 0.324696 | − | 0.0690163i | −0.0426799 | − | 0.999089i | \(-0.513590\pi\) |
0.367376 | + | 0.930072i | \(0.380256\pi\) | |||||||
\(480\) | 9.50942 | + | 13.2459i | 0.434044 | + | 0.604591i | ||||
\(481\) | −6.79833 | − | 15.2693i | −0.309977 | − | 0.696220i | ||||
\(482\) | −0.606581 | − | 1.86686i | −0.0276290 | − | 0.0850333i | ||||
\(483\) | −5.26379 | + | 13.1276i | −0.239511 | + | 0.597326i | ||||
\(484\) | −11.4763 | − | 17.9676i | −0.521649 | − | 0.816711i | ||||
\(485\) | −14.2744 | − | 8.24133i | −0.648167 | − | 0.374220i | ||||
\(486\) | −0.913022 | + | 3.76682i | −0.0414155 | + | 0.170867i | ||||
\(487\) | −0.715429 | + | 6.80685i | −0.0324192 | + | 0.308448i | 0.966282 | + | 0.257488i | \(0.0828947\pi\) |
−0.998701 | + | 0.0509599i | \(0.983772\pi\) | |||||||
\(488\) | 0.736228 | + | 7.00474i | 0.0333275 | + | 0.317090i | ||||
\(489\) | −20.7827 | − | 23.3464i | −0.939825 | − | 1.05576i | ||||
\(490\) | −2.77166 | − | 5.01026i | −0.125211 | − | 0.226341i | ||||
\(491\) | 0.108603 | + | 0.149479i | 0.00490119 | + | 0.00674591i | 0.811461 | − | 0.584407i | \(-0.198673\pi\) |
−0.806559 | + | 0.591153i | \(0.798673\pi\) | |||||||
\(492\) | −3.20272 | + | 28.8944i | −0.144390 | + | 1.30266i | ||||
\(493\) | 1.74314 | + | 1.56953i | 0.0785069 | + | 0.0706879i | ||||
\(494\) | 2.27392 | − | 1.31285i | 0.102309 | − | 0.0590679i | ||||
\(495\) | −22.1704 | − | 24.0817i | −0.996484 | − | 1.08239i | ||||
\(496\) | − | 8.54251i | − | 0.383570i | ||||||
\(497\) | −9.02656 | − | 18.1238i | −0.404897 | − | 0.812964i | ||||
\(498\) | 1.38211 | + | 3.15226i | 0.0619336 | + | 0.141256i | ||||
\(499\) | 2.32161 | + | 22.0886i | 0.103930 | + | 0.988823i | 0.914885 | + | 0.403715i | \(0.132281\pi\) |
−0.810955 | + | 0.585108i | \(0.801052\pi\) | |||||||
\(500\) | −5.13156 | + | 1.09075i | −0.229491 | + | 0.0487797i | ||||
\(501\) | −2.01155 | + | 6.07350i | −0.0898696 | + | 0.271344i | ||||
\(502\) | −6.03781 | + | 0.634600i | −0.269481 | + | 0.0283236i | ||||
\(503\) | 3.91583 | + | 2.84502i | 0.174598 | + | 0.126853i | 0.671652 | − | 0.740867i | \(-0.265585\pi\) |
−0.497054 | + | 0.867720i | \(0.665585\pi\) | |||||||
\(504\) | 3.38576 | + | 6.99579i | 0.150814 | + | 0.311617i | ||||
\(505\) | −18.7513 | −0.834420 | ||||||||
\(506\) | −1.32164 | − | 2.17511i | −0.0587539 | − | 0.0966956i | ||||
\(507\) | −4.55883 | − | 0.0258575i | −0.202465 | − | 0.00114837i | ||||
\(508\) | 7.05639 | − | 7.83691i | 0.313076 | − | 0.347707i | ||||
\(509\) | −17.9428 | + | 7.98864i | −0.795300 | + | 0.354090i | −0.763833 | − | 0.645414i | \(-0.776685\pi\) |
−0.0314674 | + | 0.999505i | \(0.510018\pi\) | |||||||
\(510\) | 3.02242 | − | 0.300347i | 0.133835 | − | 0.0132996i | ||||
\(511\) | −27.5711 | + | 10.2950i | −1.21968 | + | 0.455426i | ||||
\(512\) | −16.6536 | − | 5.41107i | −0.735991 | − | 0.239138i | ||||
\(513\) | −13.8254 | + | 1.21566i | −0.610406 | + | 0.0536727i | ||||
\(514\) | 0.837103 | + | 0.0879831i | 0.0369230 | + | 0.00388077i | ||||
\(515\) | −5.40928 | − | 4.87054i | −0.238361 | − | 0.214621i | ||||
\(516\) | 14.8334 | + | 26.0321i | 0.653004 | + | 1.14600i | ||||
\(517\) | 1.88550 | + | 14.7522i | 0.0829243 | + | 0.648802i | ||||
\(518\) | −1.73028 | − | 2.17716i | −0.0760240 | − | 0.0956588i | ||||
\(519\) | 41.7879 | + | 9.13033i | 1.83429 | + | 0.400777i | ||||
\(520\) | −11.6352 | + | 5.18031i | −0.510235 | + | 0.227171i | ||||
\(521\) | 15.8428 | + | 7.05369i | 0.694088 | + | 0.309028i | 0.723289 | − | 0.690546i | \(-0.242630\pi\) |
−0.0292009 | + | 0.999574i | \(0.509296\pi\) | |||||||
\(522\) | −0.539181 | − | 0.612656i | −0.0235993 | − | 0.0268152i | ||||
\(523\) | −27.2843 | + | 24.5669i | −1.19306 | + | 1.07423i | −0.197478 | + | 0.980307i | \(0.563275\pi\) |
−0.995579 | + | 0.0939261i | \(0.970058\pi\) | |||||||
\(524\) | 23.3954 | − | 16.9978i | 1.02203 | − | 0.742550i | ||||
\(525\) | −26.6645 | + | 1.00134i | −1.16374 | + | 0.0437018i | ||||
\(526\) | −2.14362 | − | 6.59737i | −0.0934661 | − | 0.287659i | ||||
\(527\) | −4.36570 | − | 2.52054i | −0.190173 | − | 0.109796i | ||||
\(528\) | 20.4831 | + | 3.99687i | 0.891411 | + | 0.173942i | ||||
\(529\) | −6.73712 | − | 11.6690i | −0.292918 | − | 0.507349i | ||||
\(530\) | 10.2960 | + | 2.18849i | 0.447231 | + | 0.0950619i | ||||
\(531\) | 4.88758 | − | 41.9220i | 0.212103 | − | 1.81926i | ||||
\(532\) | −9.77314 | + | 9.59586i | −0.423720 | + | 0.416033i | ||||
\(533\) | −32.5631 | − | 10.5804i | −1.41047 | − | 0.458288i | ||||
\(534\) | 0.231434 | + | 1.12001i | 0.0100151 | + | 0.0484677i | ||||
\(535\) | −0.495328 | + | 1.11252i | −0.0214149 | + | 0.0480986i | ||||
\(536\) | −5.17984 | − | 0.544423i | −0.223735 | − | 0.0235155i | ||||
\(537\) | −6.67910 | − | 6.08284i | −0.288225 | − | 0.262494i | ||||
\(538\) | 1.38135i | 0.0595543i | ||||||||
\(539\) | −22.1093 | − | 7.08372i | −0.952315 | − | 0.305118i | ||||
\(540\) | 33.1270 | + | 0.563733i | 1.42556 | + | 0.0242592i | ||||
\(541\) | −40.5446 | − | 8.61802i | −1.74315 | − | 0.370518i | −0.777200 | − | 0.629254i | \(-0.783361\pi\) |
−0.965948 | + | 0.258736i | \(0.916694\pi\) | |||||||
\(542\) | 0.397565 | − | 3.78258i | 0.0170769 | − | 0.162476i | ||||
\(543\) | −14.5216 | − | 20.2275i | −0.623181 | − | 0.868046i | ||||
\(544\) | −4.55910 | + | 4.10503i | −0.195470 | + | 0.176002i | ||||
\(545\) | 2.79023 | − | 8.58746i | 0.119521 | − | 0.367846i | ||||
\(546\) | −4.36822 | + | 1.10133i | −0.186943 | + | 0.0471324i | ||||
\(547\) | −12.2945 | − | 8.93246i | −0.525674 | − | 0.381924i | 0.293063 | − | 0.956093i | \(-0.405325\pi\) |
−0.818737 | + | 0.574169i | \(0.805325\pi\) | |||||||
\(548\) | 3.63051 | − | 17.0802i | 0.155088 | − | 0.729631i | ||||
\(549\) | 18.5645 | + | 11.0009i | 0.792314 | + | 0.469506i | ||||
\(550\) | 2.73464 | − | 3.94691i | 0.116606 | − | 0.168297i | ||||
\(551\) | 1.46119 | − | 2.53085i | 0.0622486 | − | 0.107818i | ||||
\(552\) | 5.11386 | + | 1.11734i | 0.217660 | + | 0.0475570i | ||||
\(553\) | −16.2435 | − | 25.5212i | −0.690746 | − | 1.08527i | ||||
\(554\) | 1.35373 | + | 1.86325i | 0.0575146 | + | 0.0791621i | ||||
\(555\) | −23.5902 | + | 4.87457i | −1.00135 | + | 0.206914i | ||||
\(556\) | 6.99409 | + | 32.9046i | 0.296616 | + | 1.39547i | ||||
\(557\) | −6.71815 | + | 15.0892i | −0.284657 | + | 0.639350i | −0.998117 | − | 0.0613462i | \(-0.980461\pi\) |
0.713459 | + | 0.700697i | \(0.247127\pi\) | |||||||
\(558\) | 1.40721 | + | 1.04699i | 0.0595719 | + | 0.0443226i | ||||
\(559\) | −33.5603 | + | 10.9044i | −1.41945 | + | 0.461207i | ||||
\(560\) | 24.7550 | − | 19.6738i | 1.04609 | − | 0.831369i | ||||
\(561\) | 8.08631 | − | 9.28867i | 0.341404 | − | 0.392168i | ||||
\(562\) | −2.92081 | + | 5.05900i | −0.123207 | + | 0.213401i | ||||
\(563\) | −5.52138 | + | 6.13211i | −0.232698 | + | 0.258438i | −0.848173 | − | 0.529719i | \(-0.822297\pi\) |
0.615475 | + | 0.788156i | \(0.288964\pi\) | |||||||
\(564\) | −12.1281 | − | 8.91708i | −0.510683 | − | 0.375477i | ||||
\(565\) | 28.1206 | − | 2.95559i | 1.18304 | − | 0.124343i | ||||
\(566\) | 0.791566 | − | 2.43619i | 0.0332720 | − | 0.102401i | ||||
\(567\) | 23.3881 | + | 4.47180i | 0.982208 | + | 0.187798i | ||||
\(568\) | −6.06232 | + | 4.40454i | −0.254369 | + | 0.184810i | ||||
\(569\) | 8.08276 | + | 18.1542i | 0.338847 | + | 0.761062i | 0.999942 | + | 0.0107604i | \(0.00342519\pi\) |
−0.661095 | + | 0.750302i | \(0.729908\pi\) | |||||||
\(570\) | −1.14893 | − | 3.60550i | −0.0481234 | − | 0.151018i | ||||
\(571\) | 3.54746 | + | 6.14438i | 0.148457 | + | 0.257134i | 0.930657 | − | 0.365892i | \(-0.119236\pi\) |
−0.782201 | + | 0.623027i | \(0.785903\pi\) | |||||||
\(572\) | −9.81472 | + | 23.4439i | −0.410374 | + | 0.980241i | ||||
\(573\) | −23.9868 | − | 14.0308i | −1.00206 | − | 0.586143i | ||||
\(574\) | −5.68600 | − | 0.350201i | −0.237329 | − | 0.0146171i | ||||
\(575\) | −10.5633 | + | 14.5391i | −0.440519 | + | 0.606323i | ||||
\(576\) | −16.0376 | + | 11.3763i | −0.668235 | + | 0.474013i | ||||
\(577\) | −6.12074 | − | 28.7958i | −0.254810 | − | 1.19879i | −0.900387 | − | 0.435091i | \(-0.856716\pi\) |
0.645577 | − | 0.763695i | \(-0.276617\pi\) | |||||||
\(578\) | −0.641224 | − | 3.01672i | −0.0266714 | − | 0.125479i | ||||
\(579\) | 3.38637 | + | 1.53078i | 0.140733 | + | 0.0636171i | ||||
\(580\) | −4.10062 | + | 5.64402i | −0.170269 | + | 0.234355i | ||||
\(581\) | 18.9280 | − | 9.42711i | 0.785268 | − | 0.391103i | ||||
\(582\) | −1.08942 | + | 1.86246i | −0.0451580 | + | 0.0772014i | ||||
\(583\) | 36.4746 | − | 22.1626i | 1.51062 | − | 0.917880i | ||||
\(584\) | 5.44607 | + | 9.43287i | 0.225360 | + | 0.390335i | ||||
\(585\) | −8.54538 | + | 38.0739i | −0.353308 | + | 1.57416i | ||||
\(586\) | −1.33823 | − | 3.00571i | −0.0552817 | − | 0.124165i | ||||
\(587\) | −10.3566 | + | 7.52448i | −0.427461 | + | 0.310569i | −0.780633 | − | 0.624990i | \(-0.785103\pi\) |
0.353172 | + | 0.935558i | \(0.385103\pi\) | |||||||
\(588\) | 20.6267 | − | 11.2583i | 0.850632 | − | 0.464285i | ||||
\(589\) | −1.94081 | + | 5.97320i | −0.0799697 | + | 0.246121i | ||||
\(590\) | 11.4447 | − | 1.20289i | 0.471172 | − | 0.0495221i | ||||
\(591\) | 5.24622 | − | 7.13534i | 0.215801 | − | 0.293509i | ||||
\(592\) | 10.2765 | − | 11.4132i | 0.422361 | − | 0.469079i | ||||
\(593\) | 15.4270 | − | 26.7203i | 0.633510 | − | 1.09727i | −0.353319 | − | 0.935503i | \(-0.614947\pi\) |
0.986829 | − | 0.161768i | \(-0.0517197\pi\) | |||||||
\(594\) | −3.16886 | + | 2.88431i | −0.130020 | + | 0.118345i | ||||
\(595\) | −2.75024 | − | 18.4561i | −0.112749 | − | 0.756625i | ||||
\(596\) | −31.5928 | + | 10.2651i | −1.29409 | + | 0.420475i | ||||
\(597\) | 7.07823 | + | 0.784567i | 0.289693 | + | 0.0321102i | ||||
\(598\) | −1.23407 | + | 2.77177i | −0.0504650 | + | 0.113346i | ||||
\(599\) | 8.98917 | + | 42.2907i | 0.367288 | + | 1.72795i | 0.642248 | + | 0.766497i | \(0.278002\pi\) |
−0.274960 | + | 0.961456i | \(0.588665\pi\) | |||||||
\(600\) | 1.99839 | + | 9.67110i | 0.0815840 | + | 0.394821i | ||||
\(601\) | 16.3042 | + | 22.4408i | 0.665062 | + | 0.915380i | 0.999636 | − | 0.0269901i | \(-0.00859225\pi\) |
−0.334574 | + | 0.942370i | \(0.608592\pi\) | |||||||
\(602\) | −4.95309 | + | 3.15250i | −0.201873 | + | 0.128486i | ||||
\(603\) | −10.8113 | + | 11.7367i | −0.440272 | + | 0.477955i | ||||
\(604\) | 18.8252 | − | 32.6062i | 0.765986 | − | 1.32673i | ||||
\(605\) | −5.39083 | − | 35.7840i | −0.219168 | − | 1.45483i | ||||
\(606\) | −0.0139225 | + | 2.45462i | −0.000565561 | + | 0.0997119i | ||||
\(607\) | 3.85016 | − | 18.1136i | 0.156273 | − | 0.735208i | −0.828307 | − | 0.560275i | \(-0.810696\pi\) |
0.984580 | − | 0.174934i | \(-0.0559711\pi\) | |||||||
\(608\) | 6.18360 | + | 4.49265i | 0.250778 | + | 0.182201i | ||||
\(609\) | −3.59754 | + | 3.49243i | −0.145780 | + | 0.141520i | ||||
\(610\) | −1.81817 | + | 5.59575i | −0.0736155 | + | 0.226565i | ||||
\(611\) | 13.1753 | − | 11.8631i | 0.533017 | − | 0.479930i | ||||
\(612\) | 1.16227 | + | 12.4111i | 0.0469822 | + | 0.501687i | ||||
\(613\) | −4.47928 | + | 42.6175i | −0.180916 | + | 1.72130i | 0.407892 | + | 0.913030i | \(0.366264\pi\) |
−0.588808 | + | 0.808273i | \(0.700403\pi\) | |||||||
\(614\) | 4.66127 | + | 0.990783i | 0.188113 | + | 0.0399848i | ||||
\(615\) | −24.9144 | + | 42.5932i | −1.00464 | + | 1.71752i | ||||
\(616\) | −1.23157 | + | 8.50358i | −0.0496215 | + | 0.342619i | ||||
\(617\) | − | 20.7303i | − | 0.834570i | −0.908776 | − | 0.417285i | \(-0.862982\pi\) | ||
0.908776 | − | 0.417285i | \(-0.137018\pi\) | |||||||
\(618\) | −0.641589 | + | 0.704480i | −0.0258085 | + | 0.0283383i | ||||
\(619\) | 8.21208 | + | 0.863124i | 0.330071 | + | 0.0346919i | 0.268115 | − | 0.963387i | \(-0.413599\pi\) |
0.0619564 | + | 0.998079i | \(0.480266\pi\) | |||||||
\(620\) | 6.09831 | − | 13.6970i | 0.244914 | − | 0.550086i | ||||
\(621\) | 12.0989 | − | 10.5267i | 0.485513 | − | 0.422423i | ||||
\(622\) | 0.425303 | + | 0.138189i | 0.0170531 | + | 0.00554088i | ||||
\(623\) | 6.80317 | − | 1.75633i | 0.272563 | − | 0.0703658i | ||||
\(624\) | −9.98987 | − | 22.7845i | −0.399915 | − | 0.912112i | ||||
\(625\) | 19.7675 | + | 4.20172i | 0.790701 | + | 0.168069i | ||||
\(626\) | −0.427977 | − | 0.741278i | −0.0171054 | − | 0.0296274i | ||||
\(627\) | −13.4144 | − | 7.44838i | −0.535718 | − | 0.297460i | ||||
\(628\) | 3.66778 | + | 2.11759i | 0.146360 | + | 0.0845011i | ||||
\(629\) | −2.80061 | − | 8.61940i | −0.111668 | − | 0.343678i | ||||
\(630\) | 0.206838 | + | 6.48915i | 0.00824060 | + | 0.258534i | ||||
\(631\) | −8.81884 | + | 6.40726i | −0.351072 | + | 0.255069i | −0.749319 | − | 0.662210i | \(-0.769619\pi\) |
0.398246 | + | 0.917278i | \(0.369619\pi\) | |||||||
\(632\) | −8.32039 | + | 7.49171i | −0.330967 | + | 0.298004i | ||||
\(633\) | 8.19102 | − | 24.7312i | 0.325564 | − | 0.982976i | ||||
\(634\) | 0.494925 | + | 0.220355i | 0.0196560 | + | 0.00875140i | ||||
\(635\) | 16.3522 | − | 7.28048i | 0.648919 | − | 0.288917i | ||||
\(636\) | −9.22127 | + | 42.2042i | −0.365647 | + | 1.67350i | ||||
\(637\) | 8.06919 | + | 26.4738i | 0.319713 | + | 1.04893i | ||||
\(638\) | −0.114389 | − | 0.894982i | −0.00452870 | − | 0.0354327i | ||||
\(639\) | −0.260428 | + | 22.9568i | −0.0103024 | + | 0.908155i | ||||
\(640\) | −17.9764 | − | 16.1861i | −0.710581 | − | 0.639810i | ||||
\(641\) | 3.08690 | + | 0.324446i | 0.121925 | + | 0.0128148i | 0.165294 | − | 0.986244i | \(-0.447143\pi\) |
−0.0433694 | + | 0.999059i | \(0.513809\pi\) | |||||||
\(642\) | 0.145266 | + | 0.0656664i | 0.00573320 | + | 0.00259165i | ||||
\(643\) | −15.2123 | − | 4.94278i | −0.599915 | − | 0.194924i | −0.00671245 | − | 0.999977i | \(-0.502137\pi\) |
−0.593202 | + | 0.805053i | \(0.702137\pi\) | |||||||
\(644\) | 2.61882 | − | 15.6086i | 0.103196 | − | 0.615066i | ||||
\(645\) | 5.02893 | + | 50.6066i | 0.198014 | + | 1.99263i | ||||
\(646\) | 1.30064 | − | 0.579082i | 0.0511729 | − | 0.0227837i | ||||
\(647\) | −2.11259 | + | 2.34627i | −0.0830547 | + | 0.0922416i | −0.783240 | − | 0.621720i | \(-0.786434\pi\) |
0.700185 | + | 0.713962i | \(0.253101\pi\) | |||||||
\(648\) | 0.199921 | − | 8.81039i | 0.00785362 | − | 0.346105i | ||||
\(649\) | 30.4374 | − | 35.3662i | 1.19477 | − | 1.38824i | ||||
\(650\) | −5.72410 | −0.224518 | ||||||||
\(651\) | 6.00215 | − | 8.94921i | 0.235243 | − | 0.350747i | ||||
\(652\) | 28.2965 | + | 20.5586i | 1.10818 | + | 0.805137i | ||||
\(653\) | 14.8405 | − | 1.55980i | 0.580752 | − | 0.0610395i | 0.190402 | − | 0.981706i | \(-0.439021\pi\) |
0.390350 | + | 0.920667i | \(0.372354\pi\) | |||||||
\(654\) | −1.12206 | − | 0.371629i | −0.0438761 | − | 0.0145318i | ||||
\(655\) | 48.0123 | − | 10.2053i | 1.87600 | − | 0.398755i | ||||
\(656\) | −3.28851 | − | 31.2880i | −0.128395 | − | 1.22159i | ||||
\(657\) | 33.1466 | + | 3.86448i | 1.29317 | + | 0.150768i | ||||
\(658\) | 1.62917 | − | 2.45913i | 0.0635116 | − | 0.0958669i | ||||
\(659\) | 1.21731i | 0.0474196i | 0.999719 | + | 0.0237098i | \(0.00754777\pi\) | ||||
−0.999719 | + | 0.0237098i | \(0.992452\pi\) | |||||||
\(660\) | 29.9892 | + | 21.0310i | 1.16733 | + | 0.818630i | ||||
\(661\) | 14.8939 | − | 8.59902i | 0.579307 | − | 0.334463i | −0.181551 | − | 0.983382i | \(-0.558112\pi\) |
0.760858 | + | 0.648918i | \(0.224778\pi\) | |||||||
\(662\) | 0.285713 | + | 0.257257i | 0.0111046 | + | 0.00999858i | ||||
\(663\) | −14.5917 | − | 1.61738i | −0.566697 | − | 0.0628139i | ||||
\(664\) | −4.59998 | − | 6.33134i | −0.178514 | − | 0.245703i | ||||
\(665\) | −21.7792 | + | 8.13236i | −0.844563 | + | 0.315359i | ||||
\(666\) | 0.620586 | + | 3.09167i | 0.0240472 | + | 0.119800i | ||||
\(667\) | 0.352982 | + | 3.35840i | 0.0136675 | + | 0.130038i | ||||
\(668\) | 0.748356 | − | 7.12013i | 0.0289548 | − | 0.275486i | ||||
\(669\) | 41.9994 | − | 13.3835i | 1.62379 | − | 0.517437i | ||||
\(670\) | −3.76796 | − | 2.17543i | −0.145569 | − | 0.0840443i | ||||
\(671\) | 10.1892 | + | 21.5713i | 0.393348 | + | 0.832752i | ||||
\(672\) | −8.10074 | − | 10.3125i | −0.312493 | − | 0.397813i | ||||
\(673\) | 8.70541 | + | 26.7925i | 0.335569 | + | 1.03277i | 0.966441 | + | 0.256888i | \(0.0826971\pi\) |
−0.630873 | + | 0.775886i | \(0.717303\pi\) | |||||||
\(674\) | −2.39119 | − | 5.37071i | −0.0921053 | − | 0.206872i | ||||
\(675\) | 27.4269 | + | 12.7748i | 1.05566 | + | 0.491700i | ||||
\(676\) | 4.98997 | − | 1.06065i | 0.191922 | − | 0.0407943i | ||||
\(677\) | 29.6851 | + | 32.9687i | 1.14089 | + | 1.26709i | 0.958886 | + | 0.283792i | \(0.0915924\pi\) |
0.182006 | + | 0.983297i | \(0.441741\pi\) | |||||||
\(678\) | −0.366020 | − | 3.68329i | −0.0140569 | − | 0.141456i | ||||
\(679\) | 11.7555 | + | 6.12587i | 0.451133 | + | 0.235089i | ||||
\(680\) | −6.56795 | + | 2.13406i | −0.251869 | + | 0.0818373i | ||||
\(681\) | −8.75317 | − | 15.3615i | −0.335422 | − | 0.588654i | ||||
\(682\) | 0.640372 | + | 1.83030i | 0.0245211 | + | 0.0700858i | ||||
\(683\) | 16.2632 | − | 9.38955i | 0.622293 | − | 0.359281i | −0.155468 | − | 0.987841i | \(-0.549689\pi\) |
0.777761 | + | 0.628560i | \(0.216355\pi\) | |||||||
\(684\) | 14.8238 | − | 4.63130i | 0.566802 | − | 0.177082i | ||||
\(685\) | 17.4214 | − | 23.9785i | 0.665638 | − | 0.916172i | ||||
\(686\) | 2.40101 | + | 3.92935i | 0.0916710 | + | 0.150023i | ||||
\(687\) | 1.20633 | − | 1.07386i | 0.0460243 | − | 0.0409702i | ||||
\(688\) | −21.6958 | − | 24.0956i | −0.827143 | − | 0.918635i | ||||
\(689\) | −46.4800 | − | 20.6942i | −1.77075 | − | 0.788387i | ||||
\(690\) | 3.52295 | + | 2.59023i | 0.134116 | + | 0.0986083i | ||||
\(691\) | 3.16094 | − | 14.8710i | 0.120248 | − | 0.565721i | −0.876232 | − | 0.481889i | \(-0.839951\pi\) |
0.996480 | − | 0.0838318i | \(-0.0267159\pi\) | |||||||
\(692\) | −47.8642 | −1.81952 | ||||||||
\(693\) | 18.6500 | + | 18.5790i | 0.708453 | + | 0.705758i | ||||
\(694\) | 3.18105 | 0.120751 | ||||||||
\(695\) | −11.8715 | + | 55.8512i | −0.450313 | + | 2.11856i | ||||
\(696\) | 1.49503 | + | 1.09921i | 0.0566690 | + | 0.0416655i | ||||
\(697\) | −16.9602 | − | 7.55117i | −0.642414 | − | 0.286021i | ||||
\(698\) | −3.67778 | − | 4.08459i | −0.139206 | − | 0.154604i | ||||
\(699\) | 10.3646 | − | 9.22642i | 0.392025 | − | 0.348975i | ||||
\(700\) | 28.9110 | − | 7.46375i | 1.09273 | − | 0.282103i | ||||
\(701\) | 7.81838 | − | 10.7611i | 0.295296 | − | 0.406440i | −0.635429 | − | 0.772159i | \(-0.719177\pi\) |
0.930725 | + | 0.365719i | \(0.119177\pi\) | |||||||
\(702\) | 4.97768 | + | 1.14689i | 0.187870 | + | 0.0432867i | ||||
\(703\) | −9.77865 | + | 5.64571i | −0.368809 | + | 0.212932i | ||||
\(704\) | −21.7326 | + | 0.486945i | −0.819078 | + | 0.0183524i | ||||
\(705\) | −12.6498 | − | 22.2000i | −0.476420 | − | 0.836100i | ||||
\(706\) | 7.72737 | − | 2.51077i | 0.290823 | − | 0.0944942i | ||||
\(707\) | 15.0662 | − | 0.651377i | 0.566624 | − | 0.0244976i | ||||
\(708\) | 4.67027 | + | 46.9973i | 0.175519 | + | 1.76627i | ||||
\(709\) | 19.9216 | + | 22.1251i | 0.748170 | + | 0.830927i | 0.990246 | − | 0.139330i | \(-0.0444949\pi\) |
−0.242076 | + | 0.970257i | \(0.577828\pi\) | |||||||
\(710\) | −6.12294 | + | 1.30147i | −0.229790 | + | 0.0488433i | ||||
\(711\) | 3.19839 | + | 34.1532i | 0.119949 | + | 1.28084i | ||||
\(712\) | −1.05767 | − | 2.37557i | −0.0396379 | − | 0.0890281i | ||||
\(713\) | −2.24267 | − | 6.90223i | −0.0839886 | − | 0.258490i | ||||
\(714\) | −2.41802 | + | 0.346315i | −0.0904920 | + | 0.0129605i | ||||
\(715\) | −31.4042 | + | 29.5768i | −1.17445 | + | 1.10611i | ||||
\(716\) | 8.75466 | + | 5.05450i | 0.327177 | + | 0.188896i | ||||
\(717\) | −31.9115 | + | 10.1689i | −1.19176 | + | 0.379765i | ||||
\(718\) | 0.483557 | − | 4.60074i | 0.0180462 | − | 0.171698i | ||||
\(719\) | −0.685480 | − | 6.52190i | −0.0255641 | − | 0.243226i | −0.999840 | − | 0.0178690i | \(-0.994312\pi\) |
0.974276 | − | 0.225357i | \(-0.0723548\pi\) | |||||||
\(720\) | −35.1533 | + | 7.05626i | −1.31009 | + | 0.262971i | ||||
\(721\) | 4.51543 | + | 3.72546i | 0.168163 | + | 0.138743i | ||||
\(722\) | 1.73417 | + | 2.38687i | 0.0645389 | + | 0.0888302i | ||||
\(723\) | 13.5908 | + | 1.50644i | 0.505449 | + | 0.0560251i | ||||
\(724\) | 20.7068 | + | 18.6445i | 0.769562 | + | 0.692917i | ||||
\(725\) | −5.51732 | + | 3.18543i | −0.204908 | + | 0.118304i | ||||
\(726\) | −4.68827 | + | 0.679112i | −0.173998 | + | 0.0252042i | ||||
\(727\) | − | 22.8823i | − | 0.848658i | −0.905508 | − | 0.424329i | \(-0.860510\pi\) | ||
0.905508 | − | 0.424329i | \(-0.139490\pi\) | |||||||
\(728\) | 9.16864 | − | 4.56644i | 0.339813 | − | 0.169244i | ||||
\(729\) | −21.2908 | − | 16.6042i | −0.788549 | − | 0.614972i | ||||
\(730\) | 0.951090 | + | 9.04902i | 0.0352014 | + | 0.334919i | ||||
\(731\) | −18.7157 | + | 3.97814i | −0.692224 | + | 0.147137i | ||||
\(732\) | −22.9227 | − | 7.59205i | −0.847248 | − | 0.280610i | ||||
\(733\) | −2.94401 | + | 0.309428i | −0.108739 | + | 0.0114290i | −0.158742 | − | 0.987320i | \(-0.550744\pi\) |
0.0500024 | + | 0.998749i | \(0.484077\pi\) | |||||||
\(734\) | 2.65448 | + | 1.92859i | 0.0979785 | + | 0.0711856i | ||||
\(735\) | 39.7567 | − | 3.21706i | 1.46645 | − | 0.118663i | ||||
\(736\) | −8.83214 | −0.325557 | ||||||||
\(737\) | −17.1694 | + | 4.05348i | −0.632444 | + | 0.149312i | ||||
\(738\) | 5.55713 | + | 3.29302i | 0.204561 | + | 0.121218i | ||||
\(739\) | −24.9996 | + | 27.7649i | −0.919627 | + | 1.02135i | 0.0800715 | + | 0.996789i | \(0.474485\pi\) |
−0.999698 | + | 0.0245600i | \(0.992182\pi\) | |||||||
\(740\) | 24.6249 | − | 10.9637i | 0.905228 | − | 0.403034i | ||||
\(741\) | 1.80872 | + | 18.2013i | 0.0664450 | + | 0.668642i | ||||
\(742\) | −8.34866 | − | 1.40074i | −0.306489 | − | 0.0514229i | ||||
\(743\) | −28.0626 | − | 9.11808i | −1.02952 | − | 0.334510i | −0.254917 | − | 0.966963i | \(-0.582048\pi\) |
−0.774599 | + | 0.632453i | \(0.782048\pi\) | |||||||
\(744\) | −3.63398 | − | 1.64271i | −0.133228 | − | 0.0602248i | ||||
\(745\) | −56.0753 | − | 5.89375i | −2.05444 | − | 0.215930i | ||||
\(746\) | −1.69099 | − | 1.52257i | −0.0619115 | − | 0.0557454i | ||||
\(747\) | −23.9754 | − | 0.271984i | −0.877216 | − | 0.00995137i | ||||
\(748\) | −6.62142 | + | 12.0860i | −0.242103 | + | 0.441909i | ||||
\(749\) | 0.359338 | − | 0.911096i | 0.0131299 | − | 0.0332907i | ||||
\(750\) | −0.248823 | + | 1.13882i | −0.00908572 | + | 0.0415838i | ||||
\(751\) | −14.2401 | + | 6.34010i | −0.519628 | + | 0.231353i | −0.649755 | − | 0.760144i | \(-0.725128\pi\) |
0.130126 | + | 0.991497i | \(0.458462\pi\) | |||||||
\(752\) | 14.8820 | + | 6.62591i | 0.542692 | + | 0.241622i | ||||
\(753\) | 13.2968 | − | 40.1472i | 0.484564 | − | 1.46305i | ||||
\(754\) | −0.799316 | + | 0.719707i | −0.0291094 | + | 0.0262102i | ||||
\(755\) | 51.7014 | − | 37.5633i | 1.88161 | − | 1.36707i | ||||
\(756\) | −26.6364 | + | 0.697812i | −0.968757 | + | 0.0253792i | ||||
\(757\) | 0.474368 | + | 1.45995i | 0.0172412 | + | 0.0530629i | 0.959307 | − | 0.282365i | \(-0.0911190\pi\) |
−0.942066 | + | 0.335428i | \(0.891119\pi\) | |||||||
\(758\) | 4.68118 | + | 2.70268i | 0.170028 | + | 0.0981657i | ||||
\(759\) | 17.5993 | − | 2.14802i | 0.638815 | − | 0.0779680i | ||||
\(760\) | 4.30201 | + | 7.45130i | 0.156050 | + | 0.270287i | ||||
\(761\) | 23.1045 | + | 4.91102i | 0.837538 | + | 0.178024i | 0.606663 | − | 0.794959i | \(-0.292508\pi\) |
0.230875 | + | 0.972983i | \(0.425841\pi\) | |||||||
\(762\) | −0.940904 | − | 2.14598i | −0.0340853 | − | 0.0777406i | ||||
\(763\) | −1.94358 | + | 6.99676i | −0.0703624 | + | 0.253300i | ||||
\(764\) | 29.5741 | + | 9.60921i | 1.06995 | + | 0.347649i | ||||
\(765\) | −6.76611 | + | 20.0473i | −0.244629 | + | 0.724810i | ||||
\(766\) | 1.51488 | − | 3.40248i | 0.0547349 | − | 0.122937i | ||||
\(767\) | −55.3191 | − | 5.81428i | −1.99746 | − | 0.209941i | ||||
\(768\) | 13.1557 | − | 14.4452i | 0.474715 | − | 0.521248i | ||||
\(769\) | − | 15.9733i | − | 0.576013i | −0.957629 | − | 0.288006i | \(-0.907008\pi\) | ||
0.957629 | − | 0.288006i | \(-0.0929924\pi\) | |||||||
\(770\) | −3.82914 | + | 6.07097i | −0.137993 | + | 0.218783i | ||||
\(771\) | −2.96050 | + | 5.06122i | −0.106620 | + | 0.182275i | ||||
\(772\) | −4.06768 | − | 0.864612i | −0.146399 | − | 0.0311181i | ||||
\(773\) | 1.88853 | − | 17.9681i | 0.0679255 | − | 0.646268i | −0.906600 | − | 0.421991i | \(-0.861331\pi\) |
0.974525 | − | 0.224277i | \(-0.0720021\pi\) | |||||||
\(774\) | 6.62835 | − | 0.620733i | 0.238251 | − | 0.0223118i | ||||
\(775\) | 10.1750 | − | 9.16165i | 0.365499 | − | 0.329096i | ||||
\(776\) | 1.51602 | − | 4.66583i | 0.0544219 | − | 0.167493i | ||||
\(777\) | 18.7849 | − | 4.73608i | 0.673903 | − | 0.169906i | ||||
\(778\) | −3.42407 | − | 2.48773i | −0.122759 | − | 0.0891896i | ||||
\(779\) | −4.80903 | + | 22.6247i | −0.172302 | + | 0.810615i | ||||
\(780\) | 0.247661 | − | 43.6642i | 0.00886769 | − | 1.56343i | ||||
\(781\) | −14.4550 | + | 20.8629i | −0.517242 | + | 0.746534i | ||||
\(782\) | −0.822581 | + | 1.42475i | −0.0294154 | + | 0.0509491i | ||||
\(783\) | 5.43610 | − | 1.66459i | 0.194270 | − | 0.0594874i | ||||
\(784\) | −19.2067 | + | 16.6674i | −0.685952 | + | 0.595264i | ||||
\(785\) | 4.22539 | + | 5.81575i | 0.150811 | + | 0.207573i | ||||
\(786\) | −1.30027 | − | 6.29259i | −0.0463791 | − | 0.224449i | ||||
\(787\) | 0.354649 | + | 1.66849i | 0.0126419 | + | 0.0594753i | 0.984016 | − | 0.178078i | \(-0.0569879\pi\) |
−0.971375 | + | 0.237553i | \(0.923655\pi\) | |||||||
\(788\) | −4.03092 | + | 9.05359i | −0.143596 | + | 0.322521i | ||||
\(789\) | 48.0291 | + | 5.32366i | 1.70988 | + | 0.189527i | ||||
\(790\) | −8.89509 | + | 2.89019i | −0.316473 | + | 0.102828i | ||||
\(791\) | −22.4916 | + | 3.35160i | −0.799709 | + | 0.119169i | ||||
\(792\) | 5.63914 | − | 7.94490i | 0.200378 | − | 0.282310i | ||||
\(793\) | 14.2198 | − | 24.6293i | 0.504958 | − | 0.874613i | ||||
\(794\) | 0.630333 | − | 0.700055i | 0.0223697 | − | 0.0248440i | ||||
\(795\) | −43.4356 | + | 59.0765i | −1.54050 | + | 2.09523i | ||||
\(796\) | −7.92545 | + | 0.832998i | −0.280910 | + | 0.0295248i | ||||
\(797\) | −3.43584 | + | 10.5744i | −0.121704 | + | 0.374565i | −0.993286 | − | 0.115684i | \(-0.963094\pi\) |
0.871582 | + | 0.490249i | \(0.163094\pi\) | |||||||
\(798\) | 1.04839 | + | 2.85703i | 0.0371125 | + | 0.101138i | ||||
\(799\) | 7.77727 | − | 5.65052i | 0.275140 | − | 0.199901i | ||||
\(800\) | −6.77734 | − | 15.2222i | −0.239615 | − | 0.538185i | ||||
\(801\) | −7.77360 | − | 1.74472i | −0.274666 | − | 0.0616467i | ||||
\(802\) | 4.34203 | + | 7.52062i | 0.153322 | + | 0.265562i | ||||
\(803\) | 27.9630 | + | 24.0660i | 0.986794 | + | 0.849269i | ||||
\(804\) | 9.01573 | − | 15.4131i | 0.317960 | − | 0.543580i | ||||
\(805\) | 14.8367 | − | 22.3951i | 0.522925 | − | 0.789323i | ||||
\(806\) | 1.35872 | − | 1.87011i | 0.0478587 | − | 0.0658719i | ||||
\(807\) | −8.76841 | − | 3.96369i | −0.308663 | − | 0.139529i | ||||
\(808\) | −1.16039 | − | 5.45921i | −0.0408224 | − | 0.192054i | ||||
\(809\) | −9.00759 | − | 42.3774i | −0.316690 | − | 1.48991i | −0.792234 | − | 0.610217i | \(-0.791082\pi\) |
0.475545 | − | 0.879692i | \(-0.342251\pi\) | |||||||
\(810\) | 3.14609 | − | 6.65563i | 0.110542 | − | 0.233855i | ||||
\(811\) | 12.2973 | − | 16.9257i | 0.431815 | − | 0.594342i | −0.536554 | − | 0.843866i | \(-0.680274\pi\) |
0.968369 | + | 0.249524i | \(0.0802741\pi\) | |||||||
\(812\) | 3.09870 | − | 4.67729i | 0.108743 | − | 0.164141i | ||||
\(813\) | 22.8699 | + | 13.3775i | 0.802083 | + | 0.469169i | ||||
\(814\) | −1.34625 | + | 3.21572i | −0.0471860 | + | 0.112711i | ||||
\(815\) | 29.6839 | + | 51.4140i | 1.03978 | + | 1.80095i | ||||
\(816\) | −4.09572 | − | 12.8529i | −0.143379 | − | 0.449943i | ||||
\(817\) | 9.69599 | + | 21.7776i | 0.339220 | + | 0.761900i | ||||
\(818\) | −0.396655 | + | 0.288187i | −0.0138687 | + | 0.0100762i | ||||
\(819\) | 5.54342 | − | 30.8884i | 0.193703 | − | 1.07933i | ||||
\(820\) | 17.0631 | − | 52.5147i | 0.595868 | − | 1.83389i | ||||
\(821\) | 27.5056 | − | 2.89095i | 0.959952 | − | 0.100895i | 0.388427 | − | 0.921480i | \(-0.373019\pi\) |
0.571525 | + | 0.820585i | \(0.306352\pi\) | |||||||
\(822\) | −3.12595 | − | 2.29834i | −0.109030 | − | 0.0801637i | ||||
\(823\) | 8.40419 | − | 9.33380i | 0.292952 | − | 0.325356i | −0.578645 | − | 0.815580i | \(-0.696418\pi\) |
0.871597 | + | 0.490224i | \(0.163085\pi\) | |||||||
\(824\) | 1.08326 | − | 1.87625i | 0.0377370 | − | 0.0653624i | ||||
\(825\) | 17.2069 | + | 28.6841i | 0.599069 | + | 0.998652i | ||||
\(826\) | −9.15380 | + | 1.36406i | −0.318501 | + | 0.0474617i | ||||
\(827\) | −29.2848 | + | 9.51521i | −1.01833 | + | 0.330876i | −0.770168 | − | 0.637841i | \(-0.779828\pi\) |
−0.248165 | + | 0.968718i | \(0.579828\pi\) | |||||||
\(828\) | −10.7123 | + | 14.3979i | −0.372280 | + | 0.500363i | ||||
\(829\) | −9.96578 | + | 22.3835i | −0.346126 | + | 0.777412i | 0.653661 | + | 0.756787i | \(0.273232\pi\) |
−0.999787 | + | 0.0206244i | \(0.993435\pi\) | |||||||
\(830\) | −1.35922 | − | 6.39464i | −0.0471793 | − | 0.221961i | ||||
\(831\) | −15.7118 | + | 3.24662i | −0.545038 | + | 0.112624i | ||||
\(832\) | 15.2318 | + | 20.9648i | 0.528068 | + | 0.726823i | ||||
\(833\) | 2.85088 | + | 14.7335i | 0.0987772 | + | 0.510486i | ||||
\(834\) | 7.30233 | + | 1.59550i | 0.252859 | + | 0.0552477i | ||||
\(835\) | 6.07602 | − | 10.5240i | 0.210269 | − | 0.364197i | ||||
\(836\) | 16.4439 | + | 4.93856i | 0.568725 | + | 0.170804i | ||||
\(837\) | −10.6839 | + | 5.92828i | −0.369289 | + | 0.204911i | ||||
\(838\) | 1.69681 | − | 7.98288i | 0.0586154 | − | 0.275764i | ||||
\(839\) | −23.8380 | − | 17.3193i | −0.822978 | − | 0.597929i | 0.0945858 | − | 0.995517i | \(-0.469847\pi\) |
−0.917564 | + | 0.397588i | \(0.869847\pi\) | |||||||
\(840\) | −3.60888 | − | 14.3140i | −0.124518 | − | 0.493880i | ||||
\(841\) | 8.59156 | − | 26.4421i | 0.296261 | − | 0.911797i | ||||
\(842\) | −1.32122 | + | 1.18964i | −0.0455324 | + | 0.0409976i | ||||
\(843\) | −23.7320 | − | 33.0569i | −0.817372 | − | 1.13854i | ||||
\(844\) | −3.04729 | + | 28.9931i | −0.104892 | + | 0.997983i | ||||
\(845\) | 8.46980 | + | 1.80031i | 0.291370 | + | 0.0619326i | ||||
\(846\) | −2.91546 | + | 1.63943i | −0.100236 | + | 0.0563648i | ||||
\(847\) | 5.57447 | + | 28.5644i | 0.191541 | + | 0.981485i | ||||
\(848\) | − | 46.7498i | − | 1.60540i | ||||||
\(849\) | 13.1929 | + | 12.0151i | 0.452778 | + | 0.412358i | ||||
\(850\) | −3.08676 | − | 0.324432i | −0.105875 | − | 0.0111279i | ||||
\(851\) | 5.30694 | − | 11.9196i | 0.181919 | − | 0.408598i | ||||
\(852\) | −5.19873 | − | 25.1589i | −0.178106 | − | 0.861931i | ||||
\(853\) | −34.7868 | − | 11.3029i | −1.19108 | − | 0.387004i | −0.354606 | − | 0.935016i | \(-0.615385\pi\) |
−0.836471 | + | 0.548012i | \(0.815385\pi\) | |||||||
\(854\) | 1.26648 | − | 4.55922i | 0.0433379 | − | 0.156013i | ||||
\(855\) | 26.1834 | + | 3.05266i | 0.895455 | + | 0.104399i | ||||
\(856\) | −0.354551 | − | 0.0753621i | −0.0121183 | − | 0.00257582i | ||||
\(857\) | −8.44434 | − | 14.6260i | −0.288453 | − | 0.499615i | 0.684988 | − | 0.728555i | \(-0.259808\pi\) |
−0.973441 | + | 0.228939i | \(0.926474\pi\) | |||||||
\(858\) | 3.84840 | + | 4.13289i | 0.131382 | + | 0.141095i | ||||
\(859\) | 22.8020 | + | 13.1647i | 0.777994 | + | 0.449175i | 0.835719 | − | 0.549157i | \(-0.185051\pi\) |
−0.0577249 | + | 0.998333i | \(0.518385\pi\) | |||||||
\(860\) | −17.5856 | − | 54.1229i | −0.599663 | − | 1.84557i | ||||
\(861\) | 18.5386 | − | 35.0882i | 0.631793 | − | 1.19580i | ||||
\(862\) | 0.441618 | − | 0.320854i | 0.0150416 | − | 0.0109283i | ||||
\(863\) | 12.3714 | − | 11.1393i | 0.421128 | − | 0.379185i | −0.431145 | − | 0.902283i | \(-0.641890\pi\) |
0.852273 | + | 0.523098i | \(0.175224\pi\) | |||||||
\(864\) | 2.84363 | + | 14.5951i | 0.0967423 | + | 0.496536i | ||||
\(865\) | −74.2192 | − | 33.0445i | −2.52353 | − | 1.12355i | ||||
\(866\) | −3.18183 | + | 1.41664i | −0.108123 | + | 0.0481394i | ||||
\(867\) | 20.9892 | + | 4.58597i | 0.712831 | + | 0.155748i | ||||
\(868\) | −4.42405 | + | 11.2171i | −0.150162 | + | 0.380733i | ||||
\(869\) | −18.2210 | + | 33.2587i | −0.618106 | + | 1.12823i | ||||
\(870\) | 0.767436 | + | 1.34682i | 0.0260185 | + | 0.0456615i | ||||
\(871\) | 15.6286 | + | 14.0720i | 0.529554 | + | 0.476813i | ||||
\(872\) | 2.67281 | + | 0.280923i | 0.0905127 | + | 0.00951327i | ||||
\(873\) | −8.69632 | − | 12.2595i | −0.294326 | − | 0.414922i | ||||
\(874\) | 1.94936 | + | 0.633387i | 0.0659382 | + | 0.0214246i | ||||
\(875\) | 7.06272 | + | 1.18499i | 0.238764 | + | 0.0400599i | ||||
\(876\) | −37.1595 | + | 3.69265i | −1.25550 | + | 0.124763i | ||||
\(877\) | 22.1573 | − | 9.86508i | 0.748200 | − | 0.333120i | 0.00303073 | − | 0.999995i | \(-0.499035\pi\) |
0.745169 | + | 0.666875i | \(0.232369\pi\) | |||||||
\(878\) | 2.39281 | − | 2.65749i | 0.0807535 | − | 0.0896858i | ||||
\(879\) | 22.9193 | + | 0.129997i | 0.773050 | + | 0.00438470i | ||||
\(880\) | −36.5637 | − | 15.3073i | −1.23256 | − | 0.516008i | ||||
\(881\) | 4.26603 | 0.143726 | 0.0718631 | − | 0.997415i | \(-0.477106\pi\) | ||||
0.0718631 | + | 0.997415i | \(0.477106\pi\) | |||||||
\(882\) | −0.391608 | − | 5.20671i | −0.0131861 | − | 0.175319i | ||||
\(883\) | −12.2278 | − | 8.88403i | −0.411499 | − | 0.298971i | 0.362710 | − | 0.931902i | \(-0.381852\pi\) |
−0.774208 | + | 0.632931i | \(0.781852\pi\) | |||||||
\(884\) | 16.3383 | − | 1.71722i | 0.549516 | − | 0.0577565i | ||||
\(885\) | −25.2043 | + | 76.0993i | −0.847232 | + | 2.55805i | ||||
\(886\) | −1.84796 | + | 0.392796i | −0.0620834 | + | 0.0131962i | ||||
\(887\) | 0.771676 | + | 7.34200i | 0.0259103 | + | 0.246520i | 0.999809 | + | 0.0195376i | \(0.00621941\pi\) |
−0.973899 | + | 0.226983i | \(0.927114\pi\) | |||||||
\(888\) | −2.87901 | − | 6.56635i | −0.0966134 | − | 0.220352i | ||||
\(889\) | −12.8858 | + | 6.41775i | −0.432174 | + | 0.215244i | ||||
\(890\) | − | 2.17226i | − | 0.0728142i | ||||||
\(891\) | −9.21595 | − | 28.3913i | −0.308746 | − | 0.951145i | ||||
\(892\) | −42.7177 | + | 24.6631i | −1.43029 | + | 0.825780i | ||||
\(893\) | −8.90063 | − | 8.01416i | −0.297848 | − | 0.268184i | ||||
\(894\) | −0.813150 | + | 7.33610i | −0.0271958 | + | 0.245356i | ||||
\(895\) | 10.0856 | + | 13.8817i | 0.337125 | + | 0.464013i | ||||
\(896\) | 15.0060 | + | 12.3807i | 0.501314 | + | 0.413610i | ||||
\(897\) | −14.0533 | − | 15.7869i | −0.469226 | − | 0.527110i | ||||
\(898\) | −0.315800 | − | 3.00464i | −0.0105384 | − | 0.100266i | ||||
\(899\) | 0.268927 | − | 2.55867i | 0.00896923 | − | 0.0853365i | ||||
\(900\) | −33.0349 | − | 7.41442i | −1.10116 | − | 0.247147i | ||||
\(901\) | −23.8917 | − | 13.7939i | −0.795949 | − | 0.459542i | ||||
\(902\) | 3.05003 | + | 6.45719i | 0.101555 | + | 0.215001i | ||||
\(903\) | −5.79860 | − | 40.4866i | −0.192965 | − | 1.34731i | ||||
\(904\) | 2.60068 | + | 8.00407i | 0.0864973 | + | 0.266211i | ||||
\(905\) | 19.2366 | + | 43.2061i | 0.639446 | + | 1.43622i | ||||
\(906\) | −4.87880 | − | 6.79582i | −0.162087 | − | 0.225776i | ||||
\(907\) | −33.7241 | + | 7.16827i | −1.11979 | + | 0.238019i | −0.730377 | − | 0.683045i | \(-0.760655\pi\) |
−0.389413 | + | 0.921063i | \(0.627322\pi\) | |||||||
\(908\) | 13.2384 | + | 14.7027i | 0.439330 | + | 0.487926i | ||||
\(909\) | −15.5412 | − | 7.13172i | −0.515470 | − | 0.236544i | ||||
\(910\) | 8.54850 | − | 0.369588i | 0.283380 | − | 0.0122517i | ||||
\(911\) | −30.2461 | + | 9.82756i | −1.00210 | + | 0.325601i | −0.763704 | − | 0.645567i | \(-0.776621\pi\) |
−0.238395 | + | 0.971168i | \(0.576621\pi\) | |||||||
\(912\) | −14.6024 | + | 8.32064i | −0.483534 | + | 0.275524i | ||||
\(913\) | −21.7887 | − | 15.0965i | −0.721101 | − | 0.499620i | ||||
\(914\) | −6.36164 | + | 3.67289i | −0.210424 | + | 0.121489i | ||||
\(915\) | −30.3031 | − | 27.5978i | −1.00179 | − | 0.912356i | ||||
\(916\) | −1.06228 | + | 1.46210i | −0.0350987 | + | 0.0483092i | ||||
\(917\) | −38.2223 | + | 9.86761i | −1.26221 | + | 0.325857i | ||||
\(918\) | 2.61925 | + | 0.900596i | 0.0864480 | + | 0.0297241i | ||||
\(919\) | 23.7149 | + | 26.3381i | 0.782283 | + | 0.868813i | 0.994097 | − | 0.108497i | \(-0.0346038\pi\) |
−0.211814 | + | 0.977310i | \(0.567937\pi\) | |||||||
\(920\) | −9.08268 | − | 4.04387i | −0.299447 | − | 0.133322i | ||||
\(921\) | −19.6644 | + | 26.7454i | −0.647964 | + | 0.881290i | ||||
\(922\) | −0.761616 | + | 3.58312i | −0.0250825 | + | 0.118004i | ||||
\(923\) | 30.2570 | 0.995921 | ||||||||
\(924\) | −24.8262 | − | 15.8562i | −0.816723 | − | 0.521630i | ||||
\(925\) | 24.6156 | 0.809357 | ||||||||
\(926\) | −2.06722 | + | 9.72552i | −0.0679331 | + | 0.319600i | ||||
\(927\) | −2.63084 | − | 6.09408i | −0.0864080 | − | 0.200156i | ||||
\(928\) | −2.86031 | − | 1.27349i | −0.0938944 | − | 0.0418045i | ||||
\(929\) | 15.3659 | + | 17.0655i | 0.504138 | + | 0.559902i | 0.940467 | − | 0.339885i | \(-0.110388\pi\) |
−0.436329 | + | 0.899787i | \(0.643721\pi\) | |||||||
\(930\) | −2.21509 | − | 2.48834i | −0.0726356 | − | 0.0815960i | ||||
\(931\) | 17.2167 | − | 7.29073i | 0.564253 | − | 0.238944i | ||||
\(932\) | −9.12695 | + | 12.5622i | −0.298963 | + | 0.411488i | ||||
\(933\) | −2.09756 | + | 2.30317i | −0.0686711 | + | 0.0754025i | ||||
\(934\) | −0.0889418 | + | 0.0513505i | −0.00291026 | + | 0.00168024i | ||||
\(935\) | −18.6113 | + | 14.1696i | −0.608654 | + | 0.463394i | ||||
\(936\) | −11.6136 | − | 0.131748i | −0.379602 | − | 0.00430630i | ||||
\(937\) | 19.4909 | − | 6.33298i | 0.636740 | − | 0.206889i | 0.0271818 | − | 0.999631i | \(-0.491347\pi\) |
0.609559 | + | 0.792741i | \(0.291347\pi\) | |||||||
\(938\) | 3.10304 | + | 1.61702i | 0.101318 | + | 0.0527977i | ||||
\(939\) | 5.93346 | − | 0.589626i | 0.193631 | − | 0.0192417i | ||||
\(940\) | 19.1317 | + | 21.2479i | 0.624007 | + | 0.693030i | ||||
\(941\) | −2.93042 | + | 0.622880i | −0.0955289 | + | 0.0203053i | −0.255428 | − | 0.966828i | \(-0.582216\pi\) |
0.159899 | + | 0.987133i | \(0.448883\pi\) | |||||||
\(942\) | 0.764442 | − | 0.548802i | 0.0249069 | − | 0.0178809i | ||||
\(943\) | −10.8711 | − | 24.4170i | −0.354013 | − | 0.795125i | ||||
\(944\) | −15.7938 | − | 48.6084i | −0.514046 | − | 1.58207i | ||||
\(945\) | −41.7847 | − | 17.3072i | −1.35926 | − | 0.563004i | ||||
\(946\) | 6.45476 | + | 3.53628i | 0.209862 | + | 0.114975i | ||||
\(947\) | 0.0104516 | + | 0.00603425i | 0.000339632 | + | 0.000196087i | 0.500170 | − | 0.865927i | \(-0.333271\pi\) |
−0.499830 | + | 0.866123i | \(0.666604\pi\) | |||||||
\(948\) | −11.6543 | − | 36.5729i | −0.378515 | − | 1.18783i | ||||
\(949\) | 4.59718 | − | 43.7393i | 0.149231 | − | 1.41984i | ||||
\(950\) | 0.404205 | + | 3.84575i | 0.0131141 | + | 0.124773i | ||||
\(951\) | −2.81890 | + | 2.50934i | −0.0914091 | + | 0.0813711i | ||||
\(952\) | 5.20307 | − | 1.94282i | 0.168633 | − | 0.0629673i | ||||
\(953\) | 2.85355 | + | 3.92757i | 0.0924355 | + | 0.127227i | 0.852730 | − | 0.522352i | \(-0.174945\pi\) |
−0.760294 | + | 0.649579i | \(0.774945\pi\) | |||||||
\(954\) | 7.70110 | + | 5.72977i | 0.249332 | + | 0.185508i | ||||
\(955\) | 39.2242 | + | 35.3177i | 1.26927 | + | 1.14285i | ||||
\(956\) | 32.4572 | − | 18.7392i | 1.04974 | − | 0.606069i | ||||
\(957\) | 6.00931 | + | 1.84198i | 0.194254 | + | 0.0595428i | ||||
\(958\) | 1.80638i | 0.0583615i | ||||||||
\(959\) | −13.1648 | + | 19.8714i | −0.425112 | + | 0.641681i | ||||
\(960\) | 34.2037 | − | 14.9966i | 1.10392 | − | 0.484013i | ||||
\(961\) | −2.66242 | − | 25.3312i | −0.0858845 | − | 0.817136i | ||||
\(962\) | 4.06502 | − | 0.864046i | 0.131061 | − | 0.0278580i | ||||
\(963\) | −0.833663 | + | 0.733682i | −0.0268644 | + | 0.0236426i | ||||
\(964\) | −15.2176 | + | 1.59943i | −0.490125 | + | 0.0515142i | ||||
\(965\) | −5.71052 | − | 4.14893i | −0.183828 | − | 0.133559i | ||||
\(966\) | −2.92059 | − | 1.95881i | −0.0939685 | − | 0.0630237i | ||||
\(967\) | 26.6391 | 0.856655 | 0.428327 | − | 0.903624i | \(-0.359103\pi\) | ||||
0.428327 | + | 0.903624i | \(0.359103\pi\) | |||||||
\(968\) | 10.0845 | − | 3.78391i | 0.324128 | − | 0.121619i | ||||
\(969\) | −0.0562528 | + | 9.91771i | −0.00180710 | + | 0.318603i | ||||
\(970\) | 2.74225 | − | 3.04558i | 0.0880484 | − | 0.0977876i | ||||
\(971\) | 35.6655 | − | 15.8793i | 1.14456 | − | 0.509592i | 0.255242 | − | 0.966877i | \(-0.417845\pi\) |
0.889320 | + | 0.457285i | \(0.151178\pi\) | |||||||
\(972\) | 27.2416 | + | 13.0665i | 0.873774 | + | 0.419109i | ||||
\(973\) | 7.59838 | − | 45.2876i | 0.243593 | − | 1.45185i | ||||
\(974\) | −1.61848 | − | 0.525876i | −0.0518594 | − | 0.0168501i | ||||
\(975\) | 16.4249 | − | 36.3349i | 0.526018 | − | 1.16365i | ||||
\(976\) | 25.9885 | + | 2.73150i | 0.831871 | + | 0.0874331i | ||||
\(977\) | 2.09478 | + | 1.88615i | 0.0670180 | + | 0.0603433i | 0.701959 | − | 0.712217i | \(-0.252309\pi\) |
−0.634941 | + | 0.772561i | \(0.718976\pi\) | |||||||
\(978\) | 6.75234 | − | 3.84757i | 0.215916 | − | 0.123032i | ||||
\(979\) | −6.03873 | − | 6.41183i | −0.192999 | − | 0.204923i | ||||
\(980\) | −42.6944 | + | 13.0132i | −1.36382 | + | 0.415692i | ||||
\(981\) | 5.57867 | − | 6.05615i | 0.178113 | − | 0.193358i | ||||
\(982\) | −0.0419684 | + | 0.0186856i | −0.00133927 | + | 0.000596280i | ||||
\(983\) | 21.4396 | + | 9.54551i | 0.683816 | + | 0.304454i | 0.719084 | − | 0.694924i | \(-0.244562\pi\) |
−0.0352679 | + | 0.999378i | \(0.511228\pi\) | |||||||
\(984\) | −13.9423 | − | 4.61772i | −0.444464 | − | 0.147207i | ||||
\(985\) | −12.5009 | + | 11.2558i | −0.398310 | + | 0.358640i | ||||
\(986\) | −0.471828 | + | 0.342803i | −0.0150261 | + | 0.0109171i | ||||
\(987\) | 10.9350 | + | 17.3978i | 0.348066 | + | 0.553778i | ||||
\(988\) | −6.32488 | − | 19.4660i | −0.201221 | − | 0.619295i | ||||
\(989\) | −23.8557 | − | 13.7731i | −0.758567 | − | 0.437959i | ||||
\(990\) | 7.00290 | − | 4.14705i | 0.222567 | − | 0.131802i | ||||
\(991\) | 21.6414 | + | 37.4841i | 0.687463 | + | 1.19072i | 0.972656 | + | 0.232250i | \(0.0746088\pi\) |
−0.285193 | + | 0.958470i | \(0.592058\pi\) | |||||||
\(992\) | 6.58193 | + | 1.39903i | 0.208976 | + | 0.0444193i | ||||
\(993\) | −2.45283 | + | 1.07544i | −0.0778381 | + | 0.0341281i | ||||
\(994\) | 4.87444 | − | 1.25840i | 0.154608 | − | 0.0399140i | ||||
\(995\) | −12.8645 | − | 4.17991i | −0.407831 | − | 0.132512i | ||||
\(996\) | 26.2754 | − | 5.42942i | 0.832566 | − | 0.172038i | ||||
\(997\) | −14.3922 | + | 32.3255i | −0.455807 | + | 1.02376i | 0.528764 | + | 0.848769i | \(0.322656\pi\) |
−0.984570 | + | 0.174989i | \(0.944011\pi\) | |||||||
\(998\) | −5.49209 | − | 0.577242i | −0.173849 | − | 0.0182723i | ||||
\(999\) | −21.4057 | − | 4.93204i | −0.677248 | − | 0.156043i |
(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 | 231.2.bc.a.5.14 | ✓ | 224 | |
3.2 | odd | 2 | inner | 231.2.bc.a.5.15 | yes | 224 | |
7.3 | odd | 6 | inner | 231.2.bc.a.38.14 | yes | 224 | |
11.9 | even | 5 | inner | 231.2.bc.a.152.15 | yes | 224 | |
21.17 | even | 6 | inner | 231.2.bc.a.38.15 | yes | 224 | |
33.20 | odd | 10 | inner | 231.2.bc.a.152.14 | yes | 224 | |
77.31 | odd | 30 | inner | 231.2.bc.a.185.15 | yes | 224 | |
231.185 | even | 30 | inner | 231.2.bc.a.185.14 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.bc.a.5.14 | ✓ | 224 | 1.1 | even | 1 | trivial | |
231.2.bc.a.5.15 | yes | 224 | 3.2 | odd | 2 | inner | |
231.2.bc.a.38.14 | yes | 224 | 7.3 | odd | 6 | inner | |
231.2.bc.a.38.15 | yes | 224 | 21.17 | even | 6 | inner | |
231.2.bc.a.152.14 | yes | 224 | 33.20 | odd | 10 | inner | |
231.2.bc.a.152.15 | yes | 224 | 11.9 | even | 5 | inner | |
231.2.bc.a.185.14 | yes | 224 | 231.185 | even | 30 | inner | |
231.2.bc.a.185.15 | yes | 224 | 77.31 | odd | 30 | inner |