Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(11,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.bt (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(184\) |
Relative dimension: | \(92\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.20 | ||
Character | \(\chi\) | \(=\) | 504.11 |
Dual form | 504.2.bt.a.275.20 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.08666 | + | 0.905084i | −0.768382 | + | 0.639991i | ||||
\(3\) | 1.73140 | − | 0.0474789i | 0.999624 | − | 0.0274120i | ||||
\(4\) | 0.361645 | − | 1.96703i | 0.180823 | − | 0.983516i | ||||
\(5\) | 1.91888 | − | 3.32360i | 0.858149 | − | 1.48636i | −0.0155436 | − | 0.999879i | \(-0.504948\pi\) |
0.873693 | − | 0.486478i | \(-0.161719\pi\) | |||||||
\(6\) | −1.83846 | + | 1.61866i | −0.750550 | + | 0.660813i | ||||
\(7\) | 2.42950 | + | 1.04762i | 0.918266 | + | 0.395964i | ||||
\(8\) | 1.38734 | + | 2.46481i | 0.490500 | + | 0.871441i | ||||
\(9\) | 2.99549 | − | 0.164410i | 0.998497 | − | 0.0548033i | ||||
\(10\) | 0.922971 | + | 5.34836i | 0.291869 | + | 1.69130i | ||||
\(11\) | −0.204728 | + | 0.118200i | −0.0617278 | + | 0.0356386i | −0.530546 | − | 0.847656i | \(-0.678013\pi\) |
0.468818 | + | 0.883295i | \(0.344680\pi\) | |||||||
\(12\) | 0.532760 | − | 3.42289i | 0.153795 | − | 0.988103i | ||||
\(13\) | −4.94515 | + | 2.85508i | −1.37154 | + | 0.791857i | −0.991122 | − | 0.132958i | \(-0.957552\pi\) |
−0.380416 | + | 0.924816i | \(0.624219\pi\) | |||||||
\(14\) | −3.58822 | + | 1.06050i | −0.958993 | + | 0.283430i | ||||
\(15\) | 3.16455 | − | 5.84558i | 0.817083 | − | 1.50932i | ||||
\(16\) | −3.73843 | − | 1.42274i | −0.934606 | − | 0.355684i | ||||
\(17\) | 0.276967 | + | 0.159907i | 0.0671743 | + | 0.0387831i | 0.533211 | − | 0.845982i | \(-0.320985\pi\) |
−0.466037 | + | 0.884765i | \(0.654319\pi\) | |||||||
\(18\) | −3.10627 | + | 2.88983i | −0.732154 | + | 0.681139i | ||||
\(19\) | 0.873193 | + | 1.51241i | 0.200324 | + | 0.346972i | 0.948633 | − | 0.316379i | \(-0.102467\pi\) |
−0.748309 | + | 0.663351i | \(0.769134\pi\) | |||||||
\(20\) | −5.84366 | − | 4.97646i | −1.30668 | − | 1.11277i | ||||
\(21\) | 4.25618 | + | 1.69850i | 0.928775 | + | 0.370644i | ||||
\(22\) | 0.115488 | − | 0.313739i | 0.0246222 | − | 0.0668893i | ||||
\(23\) | 3.45503 | − | 5.98428i | 0.720423 | − | 1.24781i | −0.240407 | − | 0.970672i | \(-0.577281\pi\) |
0.960830 | − | 0.277137i | \(-0.0893857\pi\) | |||||||
\(24\) | 2.51907 | + | 4.20170i | 0.514204 | + | 0.857668i | ||||
\(25\) | −4.86420 | − | 8.42504i | −0.972839 | − | 1.68501i | ||||
\(26\) | 2.78959 | − | 7.57827i | 0.547083 | − | 1.48622i | ||||
\(27\) | 5.17859 | − | 0.426882i | 0.996620 | − | 0.0821535i | ||||
\(28\) | 2.93932 | − | 4.40004i | 0.555480 | − | 0.831530i | ||||
\(29\) | −0.683815 | + | 1.18440i | −0.126981 | + | 0.219938i | −0.922506 | − | 0.385984i | \(-0.873862\pi\) |
0.795524 | + | 0.605922i | \(0.207195\pi\) | |||||||
\(30\) | 1.85197 | + | 9.21632i | 0.338121 | + | 1.68266i | ||||
\(31\) | 0.159132i | 0.0285809i | 0.999898 | + | 0.0142905i | \(0.00454895\pi\) | ||||
−0.999898 | + | 0.0142905i | \(0.995451\pi\) | |||||||
\(32\) | 5.35008 | − | 1.83756i | 0.945770 | − | 0.324838i | ||||
\(33\) | −0.348854 | + | 0.214371i | −0.0607277 | + | 0.0373173i | ||||
\(34\) | −0.445697 | + | 0.0769144i | −0.0764364 | + | 0.0131907i | ||||
\(35\) | 8.14380 | − | 6.06443i | 1.37655 | − | 1.02508i | ||||
\(36\) | 0.759906 | − | 5.95168i | 0.126651 | − | 0.991947i | ||||
\(37\) | −8.16057 | + | 4.71151i | −1.34159 | + | 0.774567i | −0.987041 | − | 0.160471i | \(-0.948699\pi\) |
−0.354549 | + | 0.935038i | \(0.615366\pi\) | |||||||
\(38\) | −2.31772 | − | 0.853162i | −0.375984 | − | 0.138401i | ||||
\(39\) | −8.42647 | + | 5.17808i | −1.34932 | + | 0.829156i | ||||
\(40\) | 10.8542 | + | 0.118695i | 1.71620 | + | 0.0187673i | ||||
\(41\) | 3.01422 | − | 1.74026i | 0.470743 | − | 0.271783i | −0.245808 | − | 0.969319i | \(-0.579053\pi\) |
0.716551 | + | 0.697535i | \(0.245720\pi\) | |||||||
\(42\) | −6.16230 | + | 2.00651i | −0.950863 | + | 0.309612i | ||||
\(43\) | −2.46142 | + | 4.26330i | −0.375363 | + | 0.650148i | −0.990381 | − | 0.138365i | \(-0.955815\pi\) |
0.615018 | + | 0.788513i | \(0.289149\pi\) | |||||||
\(44\) | 0.158464 | + | 0.445453i | 0.0238893 | + | 0.0671545i | ||||
\(45\) | 5.20155 | − | 10.2713i | 0.775402 | − | 1.53115i | ||||
\(46\) | 1.66185 | + | 9.62995i | 0.245027 | + | 1.41986i | ||||
\(47\) | −10.7247 | −1.56436 | −0.782180 | − | 0.623052i | \(-0.785892\pi\) | ||||
−0.782180 | + | 0.623052i | \(0.785892\pi\) | |||||||
\(48\) | −6.54026 | − | 2.28583i | −0.944005 | − | 0.329931i | ||||
\(49\) | 4.80498 | + | 5.09040i | 0.686425 | + | 0.727201i | ||||
\(50\) | 12.9111 | + | 4.75261i | 1.82590 | + | 0.672121i | ||||
\(51\) | 0.487132 | + | 0.263713i | 0.0682122 | + | 0.0369271i | ||||
\(52\) | 3.82765 | + | 10.7598i | 0.530799 | + | 1.49211i | ||||
\(53\) | −2.00815 | + | 3.47821i | −0.275840 | + | 0.477769i | −0.970347 | − | 0.241717i | \(-0.922289\pi\) |
0.694507 | + | 0.719486i | \(0.255623\pi\) | |||||||
\(54\) | −5.24098 | + | 5.15093i | −0.713207 | + | 0.700953i | ||||
\(55\) | 0.907244i | 0.122333i | ||||||||
\(56\) | 0.788371 | + | 7.44167i | 0.105351 | + | 0.994435i | ||||
\(57\) | 1.58365 | + | 2.57714i | 0.209760 | + | 0.341350i | ||||
\(58\) | −0.328912 | − | 1.90595i | −0.0431882 | − | 0.250263i | ||||
\(59\) | − | 5.55343i | − | 0.722995i | −0.932373 | − | 0.361497i | \(-0.882266\pi\) | ||
0.932373 | − | 0.361497i | \(-0.117734\pi\) | |||||||
\(60\) | −10.3540 | − | 8.33879i | −1.33670 | − | 1.07653i | ||||
\(61\) | 8.25277i | 1.05666i | 0.849040 | + | 0.528329i | \(0.177181\pi\) | ||||
−0.849040 | + | 0.528329i | \(0.822819\pi\) | |||||||
\(62\) | −0.144028 | − | 0.172922i | −0.0182915 | − | 0.0219611i | ||||
\(63\) | 7.44980 | + | 2.73871i | 0.938586 | + | 0.345045i | ||||
\(64\) | −4.15055 | + | 6.83907i | −0.518819 | + | 0.854884i | ||||
\(65\) | 21.9142i | 2.71813i | ||||||||
\(66\) | 0.185060 | − | 0.548690i | 0.0227794 | − | 0.0675391i | ||||
\(67\) | −1.97666 | −0.241488 | −0.120744 | − | 0.992684i | \(-0.538528\pi\) | ||||
−0.120744 | + | 0.992684i | \(0.538528\pi\) | |||||||
\(68\) | 0.414705 | − | 0.486973i | 0.0502904 | − | 0.0590541i | ||||
\(69\) | 5.69791 | − | 10.5252i | 0.685948 | − | 1.26709i | ||||
\(70\) | −3.36069 | + | 13.9608i | −0.401680 | + | 1.66863i | ||||
\(71\) | 6.20717 | 0.736656 | 0.368328 | − | 0.929696i | \(-0.379930\pi\) | ||||
0.368328 | + | 0.929696i | \(0.379930\pi\) | |||||||
\(72\) | 4.56102 | + | 7.15522i | 0.537521 | + | 0.843250i | ||||
\(73\) | 7.20414 | − | 12.4779i | 0.843181 | − | 1.46043i | −0.0440100 | − | 0.999031i | \(-0.514013\pi\) |
0.887191 | − | 0.461402i | \(-0.152653\pi\) | |||||||
\(74\) | 4.60343 | − | 12.5058i | 0.535138 | − | 1.45377i | ||||
\(75\) | −8.82188 | − | 14.3562i | −1.01866 | − | 1.65771i | ||||
\(76\) | 3.29075 | − | 1.17064i | 0.377475 | − | 0.134282i | ||||
\(77\) | −0.621216 | + | 0.0726892i | −0.0707941 | + | 0.00828370i | ||||
\(78\) | 4.47009 | − | 13.2535i | 0.506137 | − | 1.50066i | ||||
\(79\) | − | 3.71366i | − | 0.417819i | −0.977935 | − | 0.208910i | \(-0.933009\pi\) | ||
0.977935 | − | 0.208910i | \(-0.0669914\pi\) | |||||||
\(80\) | −11.9022 | + | 9.69496i | −1.33071 | + | 1.08393i | ||||
\(81\) | 8.94594 | − | 0.984978i | 0.993993 | − | 0.109442i | ||||
\(82\) | −1.70034 | + | 4.61920i | −0.187771 | + | 0.510105i | ||||
\(83\) | −3.80247 | − | 2.19535i | −0.417375 | − | 0.240971i | 0.276579 | − | 0.960991i | \(-0.410799\pi\) |
−0.693954 | + | 0.720020i | \(0.744133\pi\) | |||||||
\(84\) | 4.88024 | − | 7.75779i | 0.532478 | − | 0.846444i | ||||
\(85\) | 1.06293 | − | 0.613684i | 0.115291 | − | 0.0665634i | ||||
\(86\) | −1.18393 | − | 6.86054i | −0.127667 | − | 0.739791i | ||||
\(87\) | −1.12772 | + | 2.08314i | −0.120905 | + | 0.223336i | ||||
\(88\) | −0.575368 | − | 0.340631i | −0.0613344 | − | 0.0363114i | ||||
\(89\) | 6.03909 | − | 3.48667i | 0.640142 | − | 0.369586i | −0.144527 | − | 0.989501i | \(-0.546166\pi\) |
0.784669 | + | 0.619915i | \(0.212833\pi\) | |||||||
\(90\) | 3.64408 | + | 15.8692i | 0.384119 | + | 1.67276i | ||||
\(91\) | −15.0053 | + | 1.75579i | −1.57298 | + | 0.184056i | ||||
\(92\) | −10.5218 | − | 8.96034i | −1.09697 | − | 0.934180i | ||||
\(93\) | 0.00755541 | + | 0.275521i | 0.000783460 | + | 0.0285702i | ||||
\(94\) | 11.6541 | − | 9.70677i | 1.20203 | − | 1.00118i | ||||
\(95\) | 6.70221 | 0.687632 | ||||||||
\(96\) | 9.17588 | − | 3.43557i | 0.936510 | − | 0.350642i | ||||
\(97\) | −6.61866 | + | 11.4639i | −0.672024 | + | 1.16398i | 0.305306 | + | 0.952254i | \(0.401241\pi\) |
−0.977329 | + | 0.211725i | \(0.932092\pi\) | |||||||
\(98\) | −9.82860 | − | 1.18261i | −0.992839 | − | 0.119462i | ||||
\(99\) | −0.593828 | + | 0.387726i | −0.0596819 | + | 0.0389679i | ||||
\(100\) | −18.3314 | + | 6.52115i | −1.83314 | + | 0.652115i | ||||
\(101\) | −3.11906 | − | 5.40237i | −0.310358 | − | 0.537556i | 0.668082 | − | 0.744088i | \(-0.267116\pi\) |
−0.978440 | + | 0.206532i | \(0.933782\pi\) | |||||||
\(102\) | −0.768028 | + | 0.154331i | −0.0760461 | + | 0.0152810i | ||||
\(103\) | 17.0650 | + | 9.85247i | 1.68146 | + | 0.970793i | 0.960691 | + | 0.277620i | \(0.0895456\pi\) |
0.720771 | + | 0.693173i | \(0.243788\pi\) | |||||||
\(104\) | −13.8979 | − | 8.22786i | −1.36280 | − | 0.806808i | ||||
\(105\) | 13.8122 | − | 10.8866i | 1.34794 | − | 1.06242i | ||||
\(106\) | −0.965908 | − | 5.59716i | −0.0938173 | − | 0.543644i | ||||
\(107\) | −5.69754 | + | 3.28948i | −0.550802 | + | 0.318006i | −0.749446 | − | 0.662066i | \(-0.769680\pi\) |
0.198643 | + | 0.980072i | \(0.436346\pi\) | |||||||
\(108\) | 1.03312 | − | 10.3408i | 0.0994122 | − | 0.995046i | ||||
\(109\) | 9.87250 | + | 5.69989i | 0.945614 | + | 0.545951i | 0.891716 | − | 0.452596i | \(-0.149502\pi\) |
0.0538985 | + | 0.998546i | \(0.482835\pi\) | |||||||
\(110\) | −0.821132 | − | 0.985863i | −0.0782919 | − | 0.0939984i | ||||
\(111\) | −13.9055 | + | 8.54496i | −1.31985 | + | 0.811052i | ||||
\(112\) | −7.59203 | − | 7.37300i | −0.717379 | − | 0.696683i | ||||
\(113\) | −16.1761 | + | 9.33930i | −1.52172 | + | 0.878567i | −0.522052 | + | 0.852914i | \(0.674833\pi\) |
−0.999671 | + | 0.0256537i | \(0.991833\pi\) | |||||||
\(114\) | −4.05341 | − | 1.36712i | −0.379637 | − | 0.128043i | ||||
\(115\) | −13.2596 | − | 22.9662i | −1.23646 | − | 2.14161i | ||||
\(116\) | 2.08246 | + | 1.77342i | 0.193351 | + | 0.164658i | ||||
\(117\) | −14.3437 | + | 9.36541i | −1.32608 | + | 0.865832i | ||||
\(118\) | 5.02632 | + | 6.03467i | 0.462710 | + | 0.555536i | ||||
\(119\) | 0.505370 | + | 0.678651i | 0.0463272 | + | 0.0622118i | ||||
\(120\) | 18.7985 | − | 0.309836i | 1.71606 | − | 0.0282840i | ||||
\(121\) | −5.47206 | + | 9.47788i | −0.497460 | + | 0.861626i | ||||
\(122\) | −7.46945 | − | 8.96792i | −0.676252 | − | 0.811918i | ||||
\(123\) | 5.13620 | − | 3.15620i | 0.463116 | − | 0.284585i | ||||
\(124\) | 0.313017 | + | 0.0575493i | 0.0281098 | + | 0.00516808i | ||||
\(125\) | −18.1464 | −1.62307 | ||||||||
\(126\) | −10.5741 | + | 3.76666i | −0.942019 | + | 0.335560i | ||||
\(127\) | − | 15.0819i | − | 1.33830i | −0.743127 | − | 0.669150i | \(-0.766658\pi\) | ||
0.743127 | − | 0.669150i | \(-0.233342\pi\) | |||||||
\(128\) | −1.67971 | − | 11.1883i | −0.148467 | − | 0.988917i | ||||
\(129\) | −4.05929 | + | 7.49835i | −0.357400 | + | 0.660193i | ||||
\(130\) | −19.8342 | − | 23.8133i | −1.73958 | − | 2.08856i | ||||
\(131\) | 12.4731 | + | 7.20136i | 1.08978 | + | 0.629186i | 0.933518 | − | 0.358530i | \(-0.116722\pi\) |
0.156263 | + | 0.987715i | \(0.450055\pi\) | |||||||
\(132\) | 0.295514 | + | 0.763733i | 0.0257212 | + | 0.0664744i | ||||
\(133\) | 0.536986 | + | 4.58919i | 0.0465626 | + | 0.397934i | ||||
\(134\) | 2.14796 | − | 1.78905i | 0.185555 | − | 0.154550i | ||||
\(135\) | 8.51830 | − | 18.0307i | 0.733139 | − | 1.55183i | ||||
\(136\) | −0.00989127 | + | 0.904515i | −0.000848169 | + | 0.0775616i | ||||
\(137\) | −3.49623 | + | 2.01855i | −0.298703 | + | 0.172456i | −0.641860 | − | 0.766822i | \(-0.721837\pi\) |
0.343157 | + | 0.939278i | \(0.388504\pi\) | |||||||
\(138\) | 3.33455 | + | 16.5944i | 0.283856 | + | 1.41261i | ||||
\(139\) | −5.48811 | − | 9.50568i | −0.465495 | − | 0.806261i | 0.533729 | − | 0.845656i | \(-0.320790\pi\) |
−0.999224 | + | 0.0393947i | \(0.987457\pi\) | |||||||
\(140\) | −8.98376 | − | 18.2123i | −0.759266 | − | 1.53922i | ||||
\(141\) | −18.5688 | + | 0.509198i | −1.56377 | + | 0.0428822i | ||||
\(142\) | −6.74507 | + | 5.61802i | −0.566034 | + | 0.471453i | ||||
\(143\) | 0.674940 | − | 1.16903i | 0.0564413 | − | 0.0977593i | ||||
\(144\) | −11.4323 | − | 3.64716i | −0.952694 | − | 0.303930i | ||||
\(145\) | 2.62432 | + | 4.54545i | 0.217938 | + | 0.377479i | ||||
\(146\) | 3.46516 | + | 20.0796i | 0.286778 | + | 1.66180i | ||||
\(147\) | 8.56102 | + | 8.58539i | 0.706101 | + | 0.708111i | ||||
\(148\) | 6.31645 | + | 17.7560i | 0.519209 | + | 1.45953i | ||||
\(149\) | −9.50444 | + | 16.4622i | −0.778634 | + | 1.34863i | 0.154094 | + | 0.988056i | \(0.450754\pi\) |
−0.932729 | + | 0.360578i | \(0.882579\pi\) | |||||||
\(150\) | 22.5799 | + | 7.61567i | 1.84364 | + | 0.621817i | ||||
\(151\) | −7.03306 | + | 4.06054i | −0.572343 | + | 0.330442i | −0.758084 | − | 0.652156i | \(-0.773865\pi\) |
0.185742 | + | 0.982599i | \(0.440531\pi\) | |||||||
\(152\) | −2.51639 | + | 4.25049i | −0.204106 | + | 0.344761i | ||||
\(153\) | 0.855942 | + | 0.433463i | 0.0691988 | + | 0.0350434i | ||||
\(154\) | 0.609259 | − | 0.641241i | 0.0490955 | − | 0.0516727i | ||||
\(155\) | 0.528890 | + | 0.305355i | 0.0424815 | + | 0.0245267i | ||||
\(156\) | 7.13805 | + | 18.4478i | 0.571501 | + | 1.47700i | ||||
\(157\) | − | 4.39016i | − | 0.350373i | −0.984535 | − | 0.175186i | \(-0.943947\pi\) | ||
0.984535 | − | 0.175186i | \(-0.0560528\pi\) | |||||||
\(158\) | 3.36117 | + | 4.03547i | 0.267400 | + | 0.321045i | ||||
\(159\) | −3.31176 | + | 6.11752i | −0.262640 | + | 0.485151i | ||||
\(160\) | 4.15884 | − | 21.3076i | 0.328785 | − | 1.68451i | ||||
\(161\) | 14.6633 | − | 10.9193i | 1.15563 | − | 0.860560i | ||||
\(162\) | −8.82968 | + | 9.16716i | −0.693725 | + | 0.720240i | ||||
\(163\) | −5.81426 | − | 10.0706i | −0.455408 | − | 0.788789i | 0.543304 | − | 0.839536i | \(-0.317173\pi\) |
−0.998712 | + | 0.0507469i | \(0.983840\pi\) | |||||||
\(164\) | −2.33307 | − | 6.55843i | −0.182182 | − | 0.512128i | ||||
\(165\) | 0.0430750 | + | 1.57080i | 0.00335338 | + | 0.122287i | ||||
\(166\) | 6.11896 | − | 1.05595i | 0.474923 | − | 0.0819580i | ||||
\(167\) | 1.20742 | + | 2.09132i | 0.0934332 | + | 0.161831i | 0.908954 | − | 0.416897i | \(-0.136882\pi\) |
−0.815520 | + | 0.578728i | \(0.803549\pi\) | |||||||
\(168\) | 1.71831 | + | 12.8471i | 0.132570 | + | 0.991174i | ||||
\(169\) | 9.80299 | − | 16.9793i | 0.754076 | − | 1.30610i | ||||
\(170\) | −0.599606 | + | 1.62891i | −0.0459877 | + | 0.124931i | ||||
\(171\) | 2.86430 | + | 4.38686i | 0.219038 | + | 0.335472i | ||||
\(172\) | 7.49589 | + | 6.38350i | 0.571556 | + | 0.486737i | ||||
\(173\) | 0.0440684 | 0.00335046 | 0.00167523 | − | 0.999999i | \(-0.499467\pi\) | ||||
0.00167523 | + | 0.999999i | \(0.499467\pi\) | |||||||
\(174\) | −0.659970 | − | 3.28434i | −0.0500322 | − | 0.248986i | ||||
\(175\) | −2.99133 | − | 25.5645i | −0.226123 | − | 1.93249i | ||||
\(176\) | 0.933527 | − | 0.150607i | 0.0703673 | − | 0.0113524i | ||||
\(177\) | −0.263671 | − | 9.61521i | −0.0198187 | − | 0.722723i | ||||
\(178\) | −3.40669 | + | 9.25470i | −0.255342 | + | 0.693669i | ||||
\(179\) | −8.13323 | − | 4.69572i | −0.607906 | − | 0.350975i | 0.164239 | − | 0.986420i | \(-0.447483\pi\) |
−0.772145 | + | 0.635446i | \(0.780816\pi\) | |||||||
\(180\) | −18.3228 | − | 13.9462i | −1.36570 | − | 1.03949i | ||||
\(181\) | 1.14072i | 0.0847890i | 0.999101 | + | 0.0423945i | \(0.0134986\pi\) | ||||
−0.999101 | + | 0.0423945i | \(0.986501\pi\) | |||||||
\(182\) | 14.7165 | − | 15.4890i | 1.09086 | − | 1.14812i | ||||
\(183\) | 0.391832 | + | 14.2888i | 0.0289651 | + | 1.05626i | ||||
\(184\) | 19.5434 | + | 0.213716i | 1.44076 | + | 0.0157553i | ||||
\(185\) | 36.1633i | 2.65878i | ||||||||
\(186\) | −0.257580 | − | 0.292558i | −0.0188867 | − | 0.0214514i | ||||
\(187\) | −0.0756038 | −0.00552870 | ||||||||
\(188\) | −3.87855 | + | 21.0959i | −0.282872 | + | 1.53857i | ||||
\(189\) | 13.0286 | + | 4.38809i | 0.947692 | + | 0.319187i | ||||
\(190\) | −7.28300 | + | 6.06606i | −0.528364 | + | 0.440078i | ||||
\(191\) | 9.68337 | 0.700664 | 0.350332 | − | 0.936626i | \(-0.386069\pi\) | ||||
0.350332 | + | 0.936626i | \(0.386069\pi\) | |||||||
\(192\) | −6.86155 | + | 12.0382i | −0.495190 | + | 0.868785i | ||||
\(193\) | −13.0784 | −0.941407 | −0.470703 | − | 0.882292i | \(-0.656000\pi\) | ||||
−0.470703 | + | 0.882292i | \(0.656000\pi\) | |||||||
\(194\) | −3.18354 | − | 18.4477i | −0.228565 | − | 1.32447i | ||||
\(195\) | 1.04046 | + | 37.9423i | 0.0745092 | + | 2.71711i | ||||
\(196\) | 11.7507 | − | 7.61062i | 0.839334 | − | 0.543615i | ||||
\(197\) | −13.1143 | −0.934358 | −0.467179 | − | 0.884163i | \(-0.654730\pi\) | ||||
−0.467179 | + | 0.884163i | \(0.654730\pi\) | |||||||
\(198\) | 0.294363 | − | 0.958789i | 0.0209194 | − | 0.0681382i | ||||
\(199\) | −5.40835 | − | 3.12251i | −0.383388 | − | 0.221349i | 0.295903 | − | 0.955218i | \(-0.404379\pi\) |
−0.679291 | + | 0.733869i | \(0.737713\pi\) | |||||||
\(200\) | 14.0178 | − | 23.6777i | 0.991206 | − | 1.67427i | ||||
\(201\) | −3.42240 | + | 0.0938499i | −0.241397 | + | 0.00661966i | ||||
\(202\) | 8.27894 | + | 3.04751i | 0.582504 | + | 0.214422i | ||||
\(203\) | −2.90214 | + | 2.16113i | −0.203690 | + | 0.151682i | ||||
\(204\) | 0.694900 | − | 0.862834i | 0.0486527 | − | 0.0604105i | ||||
\(205\) | − | 13.3574i | − | 0.932923i | ||||||
\(206\) | −27.4611 | + | 4.73899i | −1.91330 | + | 0.330181i | ||||
\(207\) | 9.36563 | − | 18.4939i | 0.650956 | − | 1.28542i | ||||
\(208\) | 22.5491 | − | 3.63787i | 1.56350 | − | 0.252241i | ||||
\(209\) | −0.357534 | − | 0.206422i | −0.0247312 | − | 0.0142785i | ||||
\(210\) | −5.15586 | + | 24.3312i | −0.355788 | + | 1.67902i | ||||
\(211\) | 0.576033 | + | 0.997718i | 0.0396557 | + | 0.0686857i | 0.885172 | − | 0.465264i | \(-0.154041\pi\) |
−0.845516 | + | 0.533950i | \(0.820707\pi\) | |||||||
\(212\) | 6.11551 | + | 5.20796i | 0.420015 | + | 0.357684i | ||||
\(213\) | 10.7471 | − | 0.294710i | 0.736379 | − | 0.0201932i | ||||
\(214\) | 3.21402 | − | 8.73129i | 0.219706 | − | 0.596859i | ||||
\(215\) | 9.44634 | + | 16.3615i | 0.644235 | + | 1.11585i | ||||
\(216\) | 8.23667 | + | 12.1720i | 0.560434 | + | 0.828199i | ||||
\(217\) | −0.166710 | + | 0.386612i | −0.0113170 | + | 0.0262449i | ||||
\(218\) | −15.8869 | + | 2.74162i | −1.07600 | + | 0.185686i | ||||
\(219\) | 11.8808 | − | 21.9464i | 0.802831 | − | 1.48300i | ||||
\(220\) | 1.78458 | + | 0.328101i | 0.120316 | + | 0.0221206i | ||||
\(221\) | −1.82619 | −0.122843 | ||||||||
\(222\) | 7.37661 | − | 21.8711i | 0.495086 | − | 1.46789i | ||||
\(223\) | 6.36435 | + | 3.67446i | 0.426188 | + | 0.246060i | 0.697722 | − | 0.716369i | \(-0.254197\pi\) |
−0.271533 | + | 0.962429i | \(0.587531\pi\) | |||||||
\(224\) | 14.9231 | + | 1.14050i | 0.997092 | + | 0.0762026i | ||||
\(225\) | −15.9558 | − | 24.4374i | −1.06372 | − | 1.62916i | ||||
\(226\) | 9.12506 | − | 24.7894i | 0.606990 | − | 1.64896i | ||||
\(227\) | 5.87255 | − | 3.39052i | 0.389775 | − | 0.225037i | −0.292288 | − | 0.956330i | \(-0.594416\pi\) |
0.682063 | + | 0.731294i | \(0.261083\pi\) | |||||||
\(228\) | 5.64203 | − | 2.18309i | 0.373653 | − | 0.144579i | ||||
\(229\) | 6.62657 | + | 3.82585i | 0.437896 | + | 0.252819i | 0.702705 | − | 0.711482i | \(-0.251976\pi\) |
−0.264809 | + | 0.964301i | \(0.585309\pi\) | |||||||
\(230\) | 35.1950 | + | 12.9554i | 2.32069 | + | 0.854254i | ||||
\(231\) | −1.07212 | + | 0.155349i | −0.0705405 | + | 0.0102212i | ||||
\(232\) | −3.86801 | − | 0.0422984i | −0.253947 | − | 0.00277702i | ||||
\(233\) | −13.7781 | + | 7.95478i | −0.902633 | + | 0.521135i | −0.878053 | − | 0.478563i | \(-0.841158\pi\) |
−0.0245793 | + | 0.999698i | \(0.507825\pi\) | |||||||
\(234\) | 7.11024 | − | 23.1593i | 0.464811 | − | 1.51397i | ||||
\(235\) | −20.5794 | + | 35.6446i | −1.34245 | + | 2.32520i | ||||
\(236\) | −10.9238 | − | 2.00837i | −0.711077 | − | 0.130734i | ||||
\(237\) | −0.176320 | − | 6.42983i | −0.0114532 | − | 0.417662i | ||||
\(238\) | −1.16340 | − | 0.280058i | −0.0754120 | − | 0.0181535i | ||||
\(239\) | −3.72441 | − | 6.45087i | −0.240912 | − | 0.417272i | 0.720062 | − | 0.693910i | \(-0.244113\pi\) |
−0.960974 | + | 0.276637i | \(0.910780\pi\) | |||||||
\(240\) | −20.1471 | + | 17.3510i | −1.30049 | + | 1.12000i | ||||
\(241\) | 7.55354 | + | 13.0831i | 0.486566 | + | 0.842757i | 0.999881 | − | 0.0154433i | \(-0.00491596\pi\) |
−0.513315 | + | 0.858200i | \(0.671583\pi\) | |||||||
\(242\) | −2.63203 | − | 15.2519i | −0.169193 | − | 0.980428i | ||||
\(243\) | 15.4422 | − | 2.13013i | 0.990620 | − | 0.136648i | ||||
\(244\) | 16.2334 | + | 2.98458i | 1.03924 | + | 0.191068i | ||||
\(245\) | 26.1386 | − | 6.20193i | 1.66994 | − | 0.396227i | ||||
\(246\) | −2.72466 | + | 8.07840i | −0.173718 | + | 0.515060i | ||||
\(247\) | −8.63614 | − | 4.98608i | −0.549504 | − | 0.317256i | ||||
\(248\) | −0.392229 | + | 0.220771i | −0.0249066 | + | 0.0140190i | ||||
\(249\) | −6.68782 | − | 3.62050i | −0.423824 | − | 0.229440i | ||||
\(250\) | 19.7189 | − | 16.4240i | 1.24714 | − | 1.03875i | ||||
\(251\) | − | 7.84121i | − | 0.494933i | −0.968896 | − | 0.247466i | \(-0.920402\pi\) | ||
0.968896 | − | 0.247466i | \(-0.0795980\pi\) | |||||||
\(252\) | 8.08131 | − | 13.6635i | 0.509075 | − | 0.860722i | ||||
\(253\) | 1.63353i | 0.102699i | ||||||||
\(254\) | 13.6504 | + | 16.3888i | 0.856500 | + | 1.02833i | ||||
\(255\) | 1.81122 | − | 1.11300i | 0.113423 | − | 0.0696987i | ||||
\(256\) | 11.9516 | + | 10.6376i | 0.746978 | + | 0.664849i | ||||
\(257\) | −10.4472 | − | 6.03170i | −0.651679 | − | 0.376247i | 0.137420 | − | 0.990513i | \(-0.456119\pi\) |
−0.789099 | + | 0.614266i | \(0.789452\pi\) | |||||||
\(258\) | −2.37559 | − | 11.8221i | −0.147898 | − | 0.736014i | ||||
\(259\) | −24.7620 | + | 2.89743i | −1.53864 | + | 0.180037i | ||||
\(260\) | 43.1060 | + | 7.92519i | 2.67332 | + | 0.491499i | ||||
\(261\) | −1.85364 | + | 3.66029i | −0.114737 | + | 0.226567i | ||||
\(262\) | −20.0718 | + | 3.46382i | −1.24004 | + | 0.213995i | ||||
\(263\) | 9.72751 | + | 16.8485i | 0.599824 | + | 1.03893i | 0.992847 | + | 0.119397i | \(0.0380961\pi\) |
−0.393023 | + | 0.919529i | \(0.628571\pi\) | |||||||
\(264\) | −1.01236 | − | 0.562451i | −0.0623067 | − | 0.0346165i | ||||
\(265\) | 7.70678 | + | 13.3485i | 0.473424 | + | 0.819994i | ||||
\(266\) | −4.73713 | − | 4.50086i | −0.290452 | − | 0.275965i | ||||
\(267\) | 10.2905 | − | 6.32355i | 0.629770 | − | 0.386995i | ||||
\(268\) | −0.714852 | + | 3.88816i | −0.0436665 | + | 0.237507i | ||||
\(269\) | 12.4835 | − | 21.6221i | 0.761135 | − | 1.31832i | −0.181131 | − | 0.983459i | \(-0.557976\pi\) |
0.942266 | − | 0.334865i | \(-0.108691\pi\) | |||||||
\(270\) | 7.06281 | + | 27.3029i | 0.429829 | + | 1.66160i | ||||
\(271\) | −10.3609 | + | 5.98188i | −0.629381 | + | 0.363373i | −0.780512 | − | 0.625140i | \(-0.785042\pi\) |
0.151131 | + | 0.988514i | \(0.451708\pi\) | |||||||
\(272\) | −0.807914 | − | 0.991850i | −0.0489870 | − | 0.0601397i | ||||
\(273\) | −25.8968 | + | 3.75240i | −1.56735 | + | 0.227106i | ||||
\(274\) | 1.97224 | − | 5.35785i | 0.119148 | − | 0.323679i | ||||
\(275\) | 1.99167 | + | 1.14989i | 0.120102 | + | 0.0693412i | ||||
\(276\) | −18.6428 | − | 15.0144i | −1.12217 | − | 0.903759i | ||||
\(277\) | −1.92346 | + | 1.11051i | −0.115570 | + | 0.0667243i | −0.556671 | − | 0.830733i | \(-0.687921\pi\) |
0.441101 | + | 0.897458i | \(0.354588\pi\) | |||||||
\(278\) | 14.5671 | + | 5.36221i | 0.873678 | + | 0.321604i | ||||
\(279\) | 0.0261629 | + | 0.476678i | 0.00156633 | + | 0.0285380i | ||||
\(280\) | 26.2459 | + | 11.6594i | 1.56849 | + | 0.696785i | ||||
\(281\) | 2.44849 | + | 1.41363i | 0.146064 | + | 0.0843303i | 0.571251 | − | 0.820775i | \(-0.306458\pi\) |
−0.425187 | + | 0.905106i | \(0.639792\pi\) | |||||||
\(282\) | 19.7170 | − | 17.3596i | 1.17413 | − | 1.03375i | ||||
\(283\) | 5.29542 | 0.314780 | 0.157390 | − | 0.987537i | \(-0.449692\pi\) | ||||
0.157390 | + | 0.987537i | \(0.449692\pi\) | |||||||
\(284\) | 2.24480 | − | 12.2097i | 0.133204 | − | 0.724513i | ||||
\(285\) | 11.6042 | − | 0.318214i | 0.687374 | − | 0.0188494i | ||||
\(286\) | 0.324643 | + | 1.88121i | 0.0191965 | + | 0.111238i | ||||
\(287\) | 9.14621 | − | 1.07021i | 0.539884 | − | 0.0631723i | ||||
\(288\) | 15.7240 | − | 6.38401i | 0.926546 | − | 0.376182i | ||||
\(289\) | −8.44886 | − | 14.6339i | −0.496992 | − | 0.860815i | ||||
\(290\) | −6.96575 | − | 2.56412i | −0.409043 | − | 0.150570i | ||||
\(291\) | −10.9153 | + | 20.1628i | −0.639864 | + | 1.18196i | ||||
\(292\) | −21.9392 | − | 18.6834i | −1.28389 | − | 1.09336i | ||||
\(293\) | 7.88099 | + | 13.6503i | 0.460412 | + | 0.797457i | 0.998981 | − | 0.0451238i | \(-0.0143682\pi\) |
−0.538569 | + | 0.842581i | \(0.681035\pi\) | |||||||
\(294\) | −17.0734 | − | 1.58093i | −0.995740 | − | 0.0922015i | ||||
\(295\) | −18.4574 | − | 10.6564i | −1.07463 | − | 0.620437i | ||||
\(296\) | −22.9345 | − | 13.5777i | −1.33304 | − | 0.789191i | ||||
\(297\) | −1.00974 | + | 0.699503i | −0.0585913 | + | 0.0405893i | ||||
\(298\) | −4.57159 | − | 26.4911i | −0.264825 | − | 1.53459i | ||||
\(299\) | 39.4576i | 2.28189i | ||||||||
\(300\) | −31.4294 | + | 12.1611i | −1.81458 | + | 0.702120i | ||||
\(301\) | −10.4464 | + | 7.77908i | −0.602118 | + | 0.448378i | ||||
\(302\) | 3.96739 | − | 10.7779i | 0.228298 | − | 0.620200i | ||||
\(303\) | −5.65684 | − | 9.20557i | −0.324977 | − | 0.528846i | ||||
\(304\) | −1.11260 | − | 6.89637i | −0.0638120 | − | 0.395534i | ||||
\(305\) | 27.4289 | + | 15.8361i | 1.57057 | + | 0.906770i | ||||
\(306\) | −1.32244 | + | 0.303673i | −0.0755986 | + | 0.0173599i | ||||
\(307\) | 11.7716 | 0.671842 | 0.335921 | − | 0.941890i | \(-0.390953\pi\) | ||||
0.335921 | + | 0.941890i | \(0.390953\pi\) | |||||||
\(308\) | −0.0816782 | + | 1.24824i | −0.00465404 | + | 0.0711250i | ||||
\(309\) | 30.0141 | + | 16.2483i | 1.70744 | + | 0.924336i | ||||
\(310\) | −0.851094 | + | 0.146874i | −0.0483389 | + | 0.00834189i | ||||
\(311\) | 27.3549 | 1.55115 | 0.775577 | − | 0.631253i | \(-0.217459\pi\) | ||||
0.775577 | + | 0.631253i | \(0.217459\pi\) | |||||||
\(312\) | −24.4534 | − | 13.5859i | −1.38440 | − | 0.769147i | ||||
\(313\) | 13.6665 | 0.772478 | 0.386239 | − | 0.922399i | \(-0.373774\pi\) | ||||
0.386239 | + | 0.922399i | \(0.373774\pi\) | |||||||
\(314\) | 3.97346 | + | 4.77059i | 0.224235 | + | 0.269220i | ||||
\(315\) | 23.3976 | − | 19.5049i | 1.31831 | − | 1.09897i | ||||
\(316\) | −7.30488 | − | 1.34303i | −0.410932 | − | 0.0755512i | ||||
\(317\) | 8.80296 | 0.494423 | 0.247212 | − | 0.968961i | \(-0.420486\pi\) | ||||
0.247212 | + | 0.968961i | \(0.420486\pi\) | |||||||
\(318\) | −1.93812 | − | 9.64506i | −0.108684 | − | 0.540868i | ||||
\(319\) | − | 0.323307i | − | 0.0181017i | ||||||
\(320\) | 14.7659 | + | 26.9181i | 0.825440 | + | 1.50477i | ||||
\(321\) | −9.70855 | + | 5.96592i | −0.541878 | + | 0.332985i | ||||
\(322\) | −6.05108 | + | 25.1370i | −0.337214 | + | 1.40083i | ||||
\(323\) | 0.558518i | 0.0310768i | ||||||||
\(324\) | 1.29778 | − | 17.9532i | 0.0720987 | − | 0.997398i | ||||
\(325\) | 48.1083 | + | 27.7754i | 2.66857 | + | 1.54070i | ||||
\(326\) | 15.4328 | + | 5.68088i | 0.854745 | + | 0.314635i | ||||
\(327\) | 17.3639 | + | 9.40006i | 0.960225 | + | 0.519824i | ||||
\(328\) | 8.47118 | + | 5.01514i | 0.467743 | + | 0.276915i | ||||
\(329\) | −26.0557 | − | 11.2355i | −1.43650 | − | 0.619430i | ||||
\(330\) | −1.46852 | − | 1.66794i | −0.0808392 | − | 0.0918169i | ||||
\(331\) | 23.3501 | 1.28344 | 0.641718 | − | 0.766941i | \(-0.278222\pi\) | ||||
0.641718 | + | 0.766941i | \(0.278222\pi\) | |||||||
\(332\) | −5.69348 | + | 6.68563i | −0.312470 | + | 0.366922i | ||||
\(333\) | −23.6703 | + | 15.4550i | −1.29712 | + | 0.846927i | ||||
\(334\) | −3.20487 | − | 1.17973i | −0.175363 | − | 0.0645517i | ||||
\(335\) | −3.79298 | + | 6.56964i | −0.207233 | + | 0.358938i | ||||
\(336\) | −13.4949 | − | 12.4051i | −0.736207 | − | 0.676756i | ||||
\(337\) | 10.1548 | + | 17.5886i | 0.553168 | + | 0.958114i | 0.998044 | + | 0.0625222i | \(0.0199144\pi\) |
−0.444876 | + | 0.895592i | \(0.646752\pi\) | |||||||
\(338\) | 4.71519 | + | 27.3232i | 0.256473 | + | 1.48619i | ||||
\(339\) | −27.5639 | + | 16.9381i | −1.49707 | + | 0.919951i | ||||
\(340\) | −0.822731 | − | 2.31276i | −0.0446188 | − | 0.125427i | ||||
\(341\) | −0.0188094 | − | 0.0325788i | −0.00101858 | − | 0.00176424i | ||||
\(342\) | −7.08299 | − | 2.17458i | −0.383004 | − | 0.117588i | ||||
\(343\) | 6.34088 | + | 17.4010i | 0.342376 | + | 0.939563i | ||||
\(344\) | −13.9231 | − | 0.152255i | −0.750681 | − | 0.00820902i | ||||
\(345\) | −24.0480 | − | 39.1342i | −1.29470 | − | 2.10691i | ||||
\(346\) | −0.0478873 | + | 0.0398856i | −0.00257444 | + | 0.00214427i | ||||
\(347\) | − | 27.2170i | − | 1.46109i | −0.682867 | − | 0.730543i | \(-0.739267\pi\) | ||
0.682867 | − | 0.730543i | \(-0.260733\pi\) | |||||||
\(348\) | 3.68977 | + | 2.97163i | 0.197792 | + | 0.159296i | ||||
\(349\) | −23.3711 | − | 13.4933i | −1.25103 | − | 0.722282i | −0.279715 | − | 0.960083i | \(-0.590240\pi\) |
−0.971314 | + | 0.237801i | \(0.923573\pi\) | |||||||
\(350\) | 26.3886 | + | 25.0724i | 1.41053 | + | 1.34018i | ||||
\(351\) | −24.3901 | + | 16.8963i | −1.30185 | + | 0.901857i | ||||
\(352\) | −0.878112 | + | 1.00858i | −0.0468035 | + | 0.0537574i | ||||
\(353\) | −0.422450 | + | 0.243901i | −0.0224847 | + | 0.0129816i | −0.511200 | − | 0.859462i | \(-0.670799\pi\) |
0.488716 | + | 0.872443i | \(0.337466\pi\) | |||||||
\(354\) | 8.98909 | + | 10.2098i | 0.477765 | + | 0.542644i | ||||
\(355\) | 11.9108 | − | 20.6301i | 0.632161 | − | 1.09493i | ||||
\(356\) | −4.67438 | − | 13.1400i | −0.247742 | − | 0.696419i | ||||
\(357\) | 0.907219 | + | 1.15102i | 0.0480151 | + | 0.0609185i | ||||
\(358\) | 13.0880 | − | 2.25862i | 0.691725 | − | 0.119372i | ||||
\(359\) | −10.2195 | − | 17.7007i | −0.539364 | − | 0.934206i | −0.998938 | − | 0.0460670i | \(-0.985331\pi\) |
0.459574 | − | 0.888139i | \(-0.348002\pi\) | |||||||
\(360\) | 32.5331 | − | 1.42898i | 1.71464 | − | 0.0753141i | ||||
\(361\) | 7.97507 | − | 13.8132i | 0.419740 | − | 0.727012i | ||||
\(362\) | −1.03245 | − | 1.23957i | −0.0542642 | − | 0.0651503i | ||||
\(363\) | −9.02432 | + | 16.6698i | −0.473654 | + | 0.874938i | ||||
\(364\) | −1.97291 | + | 30.1509i | −0.103409 | + | 1.58034i | ||||
\(365\) | −27.6478 | − | 47.8873i | −1.44715 | − | 2.50654i | ||||
\(366\) | −13.3584 | − | 15.1724i | −0.698254 | − | 0.793075i | ||||
\(367\) | −28.5478 | + | 16.4821i | −1.49018 | + | 0.860358i | −0.999937 | − | 0.0112262i | \(-0.996427\pi\) |
−0.490246 | + | 0.871584i | \(0.663093\pi\) | |||||||
\(368\) | −21.4304 | + | 17.4562i | −1.11714 | + | 0.909968i | ||||
\(369\) | 8.74297 | − | 5.70851i | 0.455141 | − | 0.297173i | ||||
\(370\) | −32.7308 | − | 39.2970i | −1.70159 | − | 2.04296i | ||||
\(371\) | −8.52265 | + | 6.34655i | −0.442474 | + | 0.329496i | ||||
\(372\) | 0.544691 | + | 0.0847792i | 0.0282409 | + | 0.00439560i | ||||
\(373\) | −1.02748 | − | 0.593214i | −0.0532007 | − | 0.0307155i | 0.473164 | − | 0.880975i | \(-0.343112\pi\) |
−0.526364 | + | 0.850259i | \(0.676445\pi\) | |||||||
\(374\) | 0.0821554 | − | 0.0684278i | 0.00424815 | − | 0.00353832i | ||||
\(375\) | −31.4187 | + | 0.861573i | −1.62246 | + | 0.0444914i | ||||
\(376\) | −14.8789 | − | 26.4344i | −0.767319 | − | 1.36325i | ||||
\(377\) | − | 7.80940i | − | 0.402204i | ||||||
\(378\) | −18.1292 | + | 7.02364i | −0.932466 | + | 0.361257i | ||||
\(379\) | 10.4884 | 0.538751 | 0.269376 | − | 0.963035i | \(-0.413183\pi\) | ||||
0.269376 | + | 0.963035i | \(0.413183\pi\) | |||||||
\(380\) | 2.42382 | − | 13.1835i | 0.124340 | − | 0.676297i | ||||
\(381\) | −0.716071 | − | 26.1128i | −0.0366854 | − | 1.33780i | ||||
\(382\) | −10.5225 | + | 8.76426i | −0.538378 | + | 0.448419i | ||||
\(383\) | −5.34464 | + | 9.25719i | −0.273098 | + | 0.473020i | −0.969654 | − | 0.244483i | \(-0.921382\pi\) |
0.696555 | + | 0.717503i | \(0.254715\pi\) | |||||||
\(384\) | −3.43946 | − | 19.2917i | −0.175519 | − | 0.984476i | ||||
\(385\) | −0.950449 | + | 2.20415i | −0.0484394 | + | 0.112334i | ||||
\(386\) | 14.2118 | − | 11.8371i | 0.723360 | − | 0.602492i | ||||
\(387\) | −6.67223 | + | 13.1754i | −0.339169 | + | 0.669742i | ||||
\(388\) | 20.1562 | + | 17.1650i | 1.02327 | + | 0.871420i | ||||
\(389\) | −17.4518 | − | 30.2274i | −0.884840 | − | 1.53259i | −0.845897 | − | 0.533347i | \(-0.820934\pi\) |
−0.0389436 | − | 0.999241i | \(-0.512399\pi\) | |||||||
\(390\) | −35.4716 | − | 40.2886i | −1.79617 | − | 2.04009i | ||||
\(391\) | 1.91386 | − | 1.10497i | 0.0967878 | − | 0.0558805i | ||||
\(392\) | −5.88071 | + | 18.9055i | −0.297021 | + | 0.954871i | ||||
\(393\) | 21.9379 | + | 11.8762i | 1.10662 | + | 0.599076i | ||||
\(394\) | 14.2508 | − | 11.8696i | 0.717944 | − | 0.597981i | ||||
\(395\) | −12.3427 | − | 7.12606i | −0.621029 | − | 0.358551i | ||||
\(396\) | 0.547914 | + | 1.30830i | 0.0275337 | + | 0.0657444i | ||||
\(397\) | 6.99124 | − | 4.03640i | 0.350880 | − | 0.202581i | −0.314193 | − | 0.949359i | \(-0.601734\pi\) |
0.665073 | + | 0.746778i | \(0.268400\pi\) | |||||||
\(398\) | 8.70316 | − | 1.50191i | 0.436250 | − | 0.0752841i | ||||
\(399\) | 1.14763 | + | 7.92023i | 0.0574533 | + | 0.396508i | ||||
\(400\) | 6.19783 | + | 38.4168i | 0.309892 | + | 1.92084i | ||||
\(401\) | −16.3128 | − | 9.41823i | −0.814625 | − | 0.470324i | 0.0339346 | − | 0.999424i | \(-0.489196\pi\) |
−0.848559 | + | 0.529100i | \(0.822530\pi\) | |||||||
\(402\) | 3.63403 | − | 3.19954i | 0.181249 | − | 0.159579i | ||||
\(403\) | −0.454335 | − | 0.786931i | −0.0226320 | − | 0.0391998i | ||||
\(404\) | −11.7546 | + | 4.18154i | −0.584814 | + | 0.208040i | ||||
\(405\) | 13.8925 | − | 31.6227i | 0.690324 | − | 1.57135i | ||||
\(406\) | 1.19762 | − | 4.97509i | 0.0594370 | − | 0.246909i | ||||
\(407\) | 1.11380 | − | 1.92915i | 0.0552089 | − | 0.0956247i | ||||
\(408\) | 0.0258197 | + | 1.56655i | 0.00127826 | + | 0.0775557i | ||||
\(409\) | −17.6357 | −0.872027 | −0.436013 | − | 0.899940i | \(-0.643610\pi\) | ||||
−0.436013 | + | 0.899940i | \(0.643610\pi\) | |||||||
\(410\) | 12.0896 | + | 14.5149i | 0.597062 | + | 0.716841i | ||||
\(411\) | −5.95753 | + | 3.66091i | −0.293863 | + | 0.180579i | ||||
\(412\) | 25.5516 | − | 30.0042i | 1.25884 | − | 1.47820i | ||||
\(413\) | 5.81789 | − | 13.4921i | 0.286280 | − | 0.663902i | ||||
\(414\) | 6.56132 | + | 28.5732i | 0.322471 | + | 1.40430i | ||||
\(415\) | −14.5929 | + | 8.42524i | −0.716340 | + | 0.413579i | ||||
\(416\) | −21.2105 | + | 24.3619i | −1.03993 | + | 1.19444i | ||||
\(417\) | −9.95343 | − | 16.1976i | −0.487421 | − | 0.793198i | ||||
\(418\) | 0.575347 | − | 0.0992882i | 0.0281411 | − | 0.00485634i | ||||
\(419\) | −17.3523 | + | 10.0184i | −0.847715 | + | 0.489428i | −0.859879 | − | 0.510498i | \(-0.829461\pi\) |
0.0121643 | + | 0.999926i | \(0.496128\pi\) | |||||||
\(420\) | −16.4192 | − | 31.1062i | −0.801174 | − | 1.51783i | ||||
\(421\) | −2.61797 | − | 1.51149i | −0.127592 | − | 0.0736654i | 0.434845 | − | 0.900505i | \(-0.356803\pi\) |
−0.562438 | + | 0.826840i | \(0.690136\pi\) | |||||||
\(422\) | −1.52897 | − | 0.562819i | −0.0744290 | − | 0.0273976i | ||||
\(423\) | −32.1258 | + | 1.76325i | −1.56201 | + | 0.0857322i | ||||
\(424\) | −11.3591 | − | 0.124217i | −0.551647 | − | 0.00603250i | ||||
\(425\) | − | 3.11127i | − | 0.150919i | ||||||
\(426\) | −11.4117 | + | 10.0473i | −0.552897 | + | 0.486792i | ||||
\(427\) | −8.64578 | + | 20.0501i | −0.418399 | + | 0.970293i | ||||
\(428\) | 4.41002 | + | 12.3969i | 0.213166 | + | 0.599225i | ||||
\(429\) | 1.11309 | − | 2.05611i | 0.0537404 | − | 0.0992697i | ||||
\(430\) | −25.0735 | − | 9.22964i | −1.20915 | − | 0.445093i | ||||
\(431\) | 1.25094 | − | 2.16670i | 0.0602558 | − | 0.104366i | −0.834324 | − | 0.551275i | \(-0.814142\pi\) |
0.894580 | + | 0.446908i | \(0.147475\pi\) | |||||||
\(432\) | −19.9671 | − | 5.77190i | −0.960668 | − | 0.277701i | ||||
\(433\) | 22.3299 | 1.07311 | 0.536554 | − | 0.843866i | \(-0.319726\pi\) | ||||
0.536554 | + | 0.843866i | \(0.319726\pi\) | |||||||
\(434\) | −0.168759 | − | 0.571001i | −0.00810070 | − | 0.0274089i | ||||
\(435\) | 4.75956 | + | 7.74540i | 0.228203 | + | 0.371363i | ||||
\(436\) | 14.7822 | − | 17.3582i | 0.707940 | − | 0.831306i | ||||
\(437\) | 12.0676 | 0.577273 | ||||||||
\(438\) | 6.95293 | + | 34.6013i | 0.332224 | + | 1.65331i | ||||
\(439\) | − | 26.0254i | − | 1.24212i | −0.783761 | − | 0.621062i | \(-0.786701\pi\) | ||
0.783761 | − | 0.621062i | \(-0.213299\pi\) | |||||||
\(440\) | −2.23618 | + | 1.25866i | −0.106606 | + | 0.0600043i | ||||
\(441\) | 15.2302 | + | 14.4583i | 0.725246 | + | 0.688489i | ||||
\(442\) | 1.98444 | − | 1.65285i | 0.0943902 | − | 0.0786183i | ||||
\(443\) | 15.1287i | 0.718785i | 0.933187 | + | 0.359392i | \(0.117016\pi\) | ||||
−0.933187 | + | 0.359392i | \(0.882984\pi\) | |||||||
\(444\) | 11.7793 | + | 30.4428i | 0.559022 | + | 1.44475i | ||||
\(445\) | − | 26.7620i | − | 1.26864i | ||||||
\(446\) | −10.2416 | + | 1.76740i | −0.484952 | + | 0.0836887i | ||||
\(447\) | −15.6744 | + | 28.9539i | −0.741373 | + | 1.36947i | ||||
\(448\) | −17.2485 | + | 12.2673i | −0.814917 | + | 0.579578i | ||||
\(449\) | − | 22.8606i | − | 1.07886i | −0.842031 | − | 0.539429i | \(-0.818640\pi\) | ||
0.842031 | − | 0.539429i | \(-0.181360\pi\) | |||||||
\(450\) | 39.4564 | + | 12.1137i | 1.85999 | + | 0.571046i | ||||
\(451\) | −0.411397 | + | 0.712561i | −0.0193719 | + | 0.0335532i | ||||
\(452\) | 12.5207 | + | 35.1965i | 0.588923 | + | 1.65550i | ||||
\(453\) | −11.9843 | + | 7.36434i | −0.563069 | + | 0.346007i | ||||
\(454\) | −3.31274 | + | 8.99948i | −0.155475 | + | 0.422367i | ||||
\(455\) | −22.9578 | + | 53.2407i | −1.07628 | + | 2.49596i | ||||
\(456\) | −4.15507 | + | 7.47878i | −0.194579 | + | 0.350226i | ||||
\(457\) | 21.2244 | 0.992837 | 0.496419 | − | 0.868083i | \(-0.334648\pi\) | ||||
0.496419 | + | 0.868083i | \(0.334648\pi\) | |||||||
\(458\) | −10.6635 | + | 1.84021i | −0.498274 | + | 0.0859876i | ||||
\(459\) | 1.50256 | + | 0.709859i | 0.0701334 | + | 0.0331334i | ||||
\(460\) | −49.9706 | + | 17.7763i | −2.32989 | + | 0.828826i | ||||
\(461\) | 1.80274 | − | 3.12244i | 0.0839620 | − | 0.145426i | −0.820986 | − | 0.570948i | \(-0.806576\pi\) |
0.904948 | + | 0.425521i | \(0.139909\pi\) | |||||||
\(462\) | 1.02443 | − | 1.13917i | 0.0476606 | − | 0.0529991i | ||||
\(463\) | 27.0323 | − | 15.6071i | 1.25630 | − | 0.725323i | 0.283944 | − | 0.958841i | \(-0.408357\pi\) |
0.972353 | + | 0.233518i | \(0.0750237\pi\) | |||||||
\(464\) | 4.24149 | − | 3.45491i | 0.196906 | − | 0.160390i | ||||
\(465\) | 0.930218 | + | 0.503580i | 0.0431378 | + | 0.0233530i | ||||
\(466\) | 7.77230 | − | 21.1144i | 0.360045 | − | 0.978108i | ||||
\(467\) | 11.3890 | − | 6.57546i | 0.527022 | − | 0.304276i | −0.212781 | − | 0.977100i | \(-0.568252\pi\) |
0.739803 | + | 0.672824i | \(0.234919\pi\) | |||||||
\(468\) | 13.2347 | + | 31.6016i | 0.611774 | + | 1.46078i | ||||
\(469\) | −4.80231 | − | 2.07080i | −0.221750 | − | 0.0956206i | ||||
\(470\) | −9.89861 | − | 57.3596i | −0.456589 | − | 2.64580i | ||||
\(471\) | −0.208440 | − | 7.60112i | −0.00960441 | − | 0.350241i | ||||
\(472\) | 13.6881 | − | 7.70452i | 0.630047 | − | 0.354629i | ||||
\(473\) | − | 1.16376i | − | 0.0535096i | ||||||
\(474\) | 6.01113 | + | 6.82743i | 0.276100 | + | 0.313594i | ||||
\(475\) | 8.49477 | − | 14.7134i | 0.389767 | − | 0.675096i | ||||
\(476\) | 1.51769 | − | 0.748647i | 0.0695633 | − | 0.0343142i | ||||
\(477\) | −5.44353 | + | 10.7491i | −0.249242 | + | 0.492168i | ||||
\(478\) | 9.88574 | + | 3.63898i | 0.452163 | + | 0.166443i | ||||
\(479\) | −9.69940 | − | 16.7999i | −0.443177 | − | 0.767605i | 0.554746 | − | 0.832019i | \(-0.312815\pi\) |
−0.997923 | + | 0.0644147i | \(0.979482\pi\) | |||||||
\(480\) | 6.18895 | − | 37.0894i | 0.282486 | − | 1.69289i | ||||
\(481\) | 26.9035 | − | 46.5982i | 1.22669 | − | 2.12470i | ||||
\(482\) | −20.0494 | − | 7.38026i | −0.913226 | − | 0.336162i | ||||
\(483\) | 24.8696 | − | 19.6018i | 1.13160 | − | 0.891914i | ||||
\(484\) | 16.6643 | + | 14.1913i | 0.757470 | + | 0.645061i | ||||
\(485\) | 25.4008 | + | 43.9955i | 1.15339 | + | 1.99773i | ||||
\(486\) | −14.8525 | + | 16.2912i | −0.673721 | + | 0.738986i | ||||
\(487\) | −5.00945 | − | 2.89221i | −0.227000 | − | 0.131058i | 0.382187 | − | 0.924085i | \(-0.375171\pi\) |
−0.609187 | + | 0.793026i | \(0.708504\pi\) | |||||||
\(488\) | −20.3415 | + | 11.4494i | −0.920815 | + | 0.518291i | ||||
\(489\) | −10.5449 | − | 17.1602i | −0.476859 | − | 0.776009i | ||||
\(490\) | −22.7904 | + | 30.3970i | −1.02957 | + | 1.37320i | ||||
\(491\) | 13.0323 | − | 7.52420i | 0.588140 | − | 0.339563i | −0.176222 | − | 0.984350i | \(-0.556388\pi\) |
0.764362 | + | 0.644788i | \(0.223054\pi\) | |||||||
\(492\) | −4.35087 | − | 11.2445i | −0.196152 | − | 0.506941i | ||||
\(493\) | −0.378788 | + | 0.218693i | −0.0170598 | + | 0.00984946i | ||||
\(494\) | 13.8973 | − | 2.39828i | 0.625271 | − | 0.107904i | ||||
\(495\) | 0.149160 | + | 2.71764i | 0.00670425 | + | 0.122149i | ||||
\(496\) | 0.226403 | − | 0.594903i | 0.0101658 | − | 0.0267119i | ||||
\(497\) | 15.0804 | + | 6.50277i | 0.676446 | + | 0.291689i | ||||
\(498\) | 10.5442 | − | 2.11880i | 0.472498 | − | 0.0949458i | ||||
\(499\) | −6.16663 | + | 10.6809i | −0.276056 | + | 0.478143i | −0.970401 | − | 0.241499i | \(-0.922361\pi\) |
0.694345 | + | 0.719642i | \(0.255694\pi\) | |||||||
\(500\) | −6.56258 | + | 35.6946i | −0.293487 | + | 1.59631i | ||||
\(501\) | 2.18983 | + | 3.56358i | 0.0978342 | + | 0.159209i | ||||
\(502\) | 7.09696 | + | 8.52071i | 0.316753 | + | 0.380298i | ||||
\(503\) | 37.8747 | 1.68875 | 0.844376 | − | 0.535752i | \(-0.179972\pi\) | ||||
0.844376 | + | 0.535752i | \(0.179972\pi\) | |||||||
\(504\) | 3.58504 | + | 22.1618i | 0.159691 | + | 0.987167i | ||||
\(505\) | −23.9404 | −1.06533 | ||||||||
\(506\) | −1.47849 | − | 1.77509i | −0.0657267 | − | 0.0789124i | ||||
\(507\) | 16.1667 | − | 29.8634i | 0.717990 | − | 1.32628i | ||||
\(508\) | −29.6665 | − | 5.45429i | −1.31624 | − | 0.241995i | ||||
\(509\) | −14.0079 | + | 24.2623i | −0.620887 | + | 1.07541i | 0.368434 | + | 0.929654i | \(0.379894\pi\) |
−0.989321 | + | 0.145754i | \(0.953439\pi\) | |||||||
\(510\) | −0.960819 | + | 2.84876i | −0.0425458 | + | 0.126145i | ||||
\(511\) | 30.5747 | − | 22.7680i | 1.35254 | − | 1.00720i | ||||
\(512\) | −22.6152 | − | 0.742159i | −0.999462 | − | 0.0327991i | ||||
\(513\) | 5.16753 | + | 7.45942i | 0.228152 | + | 0.329342i | ||||
\(514\) | 16.8117 | − | 2.90122i | 0.741534 | − | 0.127967i | ||||
\(515\) | 65.4913 | − | 37.8114i | 2.88589 | − | 1.66617i | ||||
\(516\) | 13.2815 | + | 10.6965i | 0.584684 | + | 0.470887i | ||||
\(517\) | 2.19565 | − | 1.26766i | 0.0965646 | − | 0.0557516i | ||||
\(518\) | 24.2854 | − | 25.5602i | 1.06704 | − | 1.12305i | ||||
\(519\) | 0.0763001 | − | 0.00209232i | 0.00334920 | − | 9.18428e-5i | ||||
\(520\) | −54.0144 | + | 30.4026i | −2.36869 | + | 1.33324i | ||||
\(521\) | −11.6603 | − | 6.73205i | −0.510845 | − | 0.294937i | 0.222336 | − | 0.974970i | \(-0.428632\pi\) |
−0.733181 | + | 0.680034i | \(0.761965\pi\) | |||||||
\(522\) | −1.29861 | − | 5.65518i | −0.0568386 | − | 0.247520i | ||||
\(523\) | 13.6773 | + | 23.6897i | 0.598065 | + | 1.03588i | 0.993107 | + | 0.117215i | \(0.0373968\pi\) |
−0.395042 | + | 0.918663i | \(0.629270\pi\) | |||||||
\(524\) | 18.6761 | − | 21.9307i | 0.815871 | − | 0.958046i | ||||
\(525\) | −6.39296 | − | 44.1203i | −0.279012 | − | 1.92557i | ||||
\(526\) | −25.8198 | − | 9.50437i | −1.12580 | − | 0.414410i | ||||
\(527\) | −0.0254463 | + | 0.0440742i | −0.00110846 | + | 0.00191990i | ||||
\(528\) | 1.60916 | − | 0.305084i | 0.0700296 | − | 0.0132771i | ||||
\(529\) | −12.3744 | − | 21.4332i | −0.538019 | − | 0.931877i | ||||
\(530\) | −20.4562 | − | 7.52999i | −0.888559 | − | 0.327082i | ||||
\(531\) | −0.913039 | − | 16.6352i | −0.0396225 | − | 0.721908i | ||||
\(532\) | 9.22129 | + | 0.603392i | 0.399793 | + | 0.0261604i | ||||
\(533\) | −9.93719 | + | 17.2117i | −0.430428 | + | 0.745522i | ||||
\(534\) | −5.45893 | + | 16.1853i | −0.236231 | + | 0.700408i | ||||
\(535\) | 25.2484i | 1.09159i | ||||||||
\(536\) | −2.74231 | − | 4.87210i | −0.118450 | − | 0.210443i | ||||
\(537\) | −14.3048 | − | 7.74402i | −0.617299 | − | 0.334179i | ||||
\(538\) | 6.00452 | + | 34.7945i | 0.258873 | + | 1.50010i | ||||
\(539\) | −1.58540 | − | 0.474201i | −0.0682879 | − | 0.0204253i | ||||
\(540\) | −32.3863 | − | 23.2765i | −1.39368 | − | 1.00166i | ||||
\(541\) | 14.2361 | − | 8.21922i | 0.612058 | − | 0.353372i | −0.161712 | − | 0.986838i | \(-0.551702\pi\) |
0.773770 | + | 0.633466i | \(0.218368\pi\) | |||||||
\(542\) | 5.84466 | − | 15.8778i | 0.251050 | − | 0.682008i | ||||
\(543\) | 0.0541601 | + | 1.97504i | 0.00232423 | + | 0.0847571i | ||||
\(544\) | 1.77563 | + | 0.346570i | 0.0761296 | + | 0.0148591i | ||||
\(545\) | 37.8883 | − | 21.8748i | 1.62296 | − | 0.937014i | ||||
\(546\) | 24.7447 | − | 27.5164i | 1.05898 | − | 1.17759i | ||||
\(547\) | −4.39298 | + | 7.60886i | −0.187830 | + | 0.325331i | −0.944527 | − | 0.328435i | \(-0.893479\pi\) |
0.756696 | + | 0.653766i | \(0.226812\pi\) | |||||||
\(548\) | 2.70615 | + | 7.60718i | 0.115601 | + | 0.324963i | ||||
\(549\) | 1.35684 | + | 24.7211i | 0.0579084 | + | 1.05507i | ||||
\(550\) | −3.20502 | + | 0.553093i | −0.136662 | + | 0.0235840i | ||||
\(551\) | −2.38841 | −0.101750 | ||||||||
\(552\) | 33.8476 | − | 0.557873i | 1.44065 | − | 0.0237447i | ||||
\(553\) | 3.89051 | − | 9.02234i | 0.165441 | − | 0.383669i | ||||
\(554\) | 1.08504 | − | 2.94764i | 0.0460989 | − | 0.125233i | ||||
\(555\) | 1.71699 | + | 62.6131i | 0.0728823 | + | 2.65778i | ||||
\(556\) | −20.6827 | + | 7.35759i | −0.877143 | + | 0.312031i | ||||
\(557\) | −13.2927 | + | 23.0236i | −0.563228 | + | 0.975540i | 0.433984 | + | 0.900921i | \(0.357107\pi\) |
−0.997212 | + | 0.0746191i | \(0.976226\pi\) | |||||||
\(558\) | −0.459864 | − | 0.494306i | −0.0194676 | − | 0.0209256i | ||||
\(559\) | − | 28.1102i | − | 1.18894i | ||||||
\(560\) | −39.0731 | + | 11.0849i | −1.65114 | + | 0.468424i | ||||
\(561\) | −0.130900 | + | 0.00358959i | −0.00552662 | + | 0.000151552i | ||||
\(562\) | −3.94012 | + | 0.679951i | −0.166204 | + | 0.0286820i | ||||
\(563\) | − | 20.2168i | − | 0.852038i | −0.904714 | − | 0.426019i | \(-0.859916\pi\) | ||
0.904714 | − | 0.426019i | \(-0.140084\pi\) | |||||||
\(564\) | −5.71370 | + | 36.7095i | −0.240590 | + | 1.54575i | ||||
\(565\) | 71.6839i | 3.01577i | ||||||||
\(566\) | −5.75430 | + | 4.79280i | −0.241871 | + | 0.201456i | ||||
\(567\) | 22.7661 | + | 6.97896i | 0.956085 | + | 0.293089i | ||||
\(568\) | 8.61149 | + | 15.2995i | 0.361330 | + | 0.641952i | ||||
\(569\) | − | 20.0794i | − | 0.841773i | −0.907113 | − | 0.420886i | \(-0.861719\pi\) | ||
0.907113 | − | 0.420886i | \(-0.138281\pi\) | |||||||
\(570\) | −12.3218 | + | 10.8486i | −0.516102 | + | 0.454397i | ||||
\(571\) | 38.2763 | 1.60182 | 0.800908 | − | 0.598788i | \(-0.204351\pi\) | ||||
0.800908 | + | 0.598788i | \(0.204351\pi\) | |||||||
\(572\) | −2.05543 | − | 1.75040i | −0.0859419 | − | 0.0731880i | ||||
\(573\) | 16.7658 | − | 0.459756i | 0.700401 | − | 0.0192066i | ||||
\(574\) | −8.97016 | + | 9.44104i | −0.374407 | + | 0.394061i | ||||
\(575\) | −67.2237 | −2.80342 | ||||||||
\(576\) | −11.3085 | + | 21.1688i | −0.471189 | + | 0.882032i | ||||
\(577\) | 13.8651 | − | 24.0150i | 0.577210 | − | 0.999757i | −0.418588 | − | 0.908176i | \(-0.637475\pi\) |
0.995798 | − | 0.0915804i | \(-0.0291919\pi\) | |||||||
\(578\) | 22.4259 | + | 8.25505i | 0.932794 | + | 0.343365i | ||||
\(579\) | −22.6440 | + | 0.620950i | −0.941053 | + | 0.0258058i | ||||
\(580\) | 9.89012 | − | 3.51827i | 0.410665 | − | 0.146088i | ||||
\(581\) | −6.93820 | − | 9.31717i | −0.287845 | − | 0.386541i | ||||
\(582\) | −6.38787 | − | 31.7892i | −0.264786 | − | 1.31771i | ||||
\(583\) | − | 0.949449i | − | 0.0393222i | ||||||
\(584\) | 40.7504 | + | 0.445623i | 1.68626 | + | 0.0184400i | ||||
\(585\) | 3.60292 | + | 65.6439i | 0.148962 | + | 2.71404i | ||||
\(586\) | −20.9186 | − | 7.70020i | −0.864138 | − | 0.318092i | ||||
\(587\) | 3.66211 | + | 2.11432i | 0.151152 | + | 0.0872674i | 0.573668 | − | 0.819088i | \(-0.305520\pi\) |
−0.422517 | + | 0.906355i | \(0.638853\pi\) | |||||||
\(588\) | 19.9838 | − | 13.7349i | 0.824117 | − | 0.566419i | ||||
\(589\) | −0.240673 | + | 0.138953i | −0.00991678 | + | 0.00572545i | ||||
\(590\) | 29.7017 | − | 5.12566i | 1.22280 | − | 0.211020i | ||||
\(591\) | −22.7062 | + | 0.622655i | −0.934007 | + | 0.0256126i | ||||
\(592\) | 37.2109 | − | 6.00328i | 1.52936 | − | 0.246733i | ||||
\(593\) | −19.7684 | + | 11.4133i | −0.811792 | + | 0.468688i | −0.847578 | − | 0.530671i | \(-0.821940\pi\) |
0.0357861 | + | 0.999359i | \(0.488607\pi\) | |||||||
\(594\) | 0.464137 | − | 1.67402i | 0.0190438 | − | 0.0686860i | ||||
\(595\) | 3.22530 | − | 0.377396i | 0.132225 | − | 0.0154717i | ||||
\(596\) | 28.9444 | + | 24.6490i | 1.18561 | + | 1.00966i | ||||
\(597\) | −9.51227 | − | 5.14954i | −0.389311 | − | 0.210756i | ||||
\(598\) | −35.7124 | − | 42.8768i | −1.46039 | − | 1.75336i | ||||
\(599\) | 18.3288 | 0.748893 | 0.374446 | − | 0.927249i | \(-0.377833\pi\) | ||||
0.374446 | + | 0.927249i | \(0.377833\pi\) | |||||||
\(600\) | 23.1462 | − | 41.6612i | 0.944939 | − | 1.70081i | ||||
\(601\) | −2.65539 | + | 4.59927i | −0.108316 | + | 0.187608i | −0.915088 | − | 0.403254i | \(-0.867879\pi\) |
0.806772 | + | 0.590862i | \(0.201212\pi\) | |||||||
\(602\) | 4.31089 | − | 17.9080i | 0.175699 | − | 0.729876i | ||||
\(603\) | −5.92108 | + | 0.324983i | −0.241125 | + | 0.0132343i | ||||
\(604\) | 5.44374 | + | 15.3027i | 0.221502 | + | 0.622659i | ||||
\(605\) | 21.0004 | + | 36.3738i | 0.853789 | + | 1.47881i | ||||
\(606\) | 14.4789 | + | 4.88338i | 0.588163 | + | 0.198374i | ||||
\(607\) | 17.0396 | + | 9.83780i | 0.691615 | + | 0.399304i | 0.804217 | − | 0.594336i | \(-0.202585\pi\) |
−0.112602 | + | 0.993640i | \(0.535918\pi\) | |||||||
\(608\) | 7.45081 | + | 6.48699i | 0.302170 | + | 0.263082i | ||||
\(609\) | −4.92215 | + | 3.87957i | −0.199456 | + | 0.157208i | ||||
\(610\) | −44.1387 | + | 7.61707i | −1.78712 | + | 0.308406i | ||||
\(611\) | 53.0353 | − | 30.6199i | 2.14558 | − | 1.23875i | ||||
\(612\) | 1.16218 | − | 1.52690i | 0.0469785 | − | 0.0617214i | ||||
\(613\) | −25.3690 | − | 14.6468i | −1.02464 | − | 0.591578i | −0.109197 | − | 0.994020i | \(-0.534828\pi\) |
−0.915445 | + | 0.402442i | \(0.868161\pi\) | |||||||
\(614\) | −12.7917 | + | 10.6543i | −0.516231 | + | 0.429973i | ||||
\(615\) | −0.634196 | − | 23.1270i | −0.0255733 | − | 0.932572i | ||||
\(616\) | −1.04101 | − | 1.43033i | −0.0419433 | − | 0.0576298i | ||||
\(617\) | −38.0420 | + | 21.9636i | −1.53151 | + | 0.884220i | −0.532222 | + | 0.846605i | \(0.678643\pi\) |
−0.999292 | + | 0.0376155i | \(0.988024\pi\) | |||||||
\(618\) | −47.3211 | + | 9.50891i | −1.90353 | + | 0.382504i | ||||
\(619\) | 18.8896 | + | 32.7177i | 0.759236 | + | 1.31504i | 0.943241 | + | 0.332110i | \(0.107760\pi\) |
−0.184005 | + | 0.982925i | \(0.558906\pi\) | |||||||
\(620\) | 0.791913 | − | 0.929913i | 0.0318040 | − | 0.0373462i | ||||
\(621\) | 15.3376 | − | 32.4650i | 0.615476 | − | 1.30278i | ||||
\(622\) | −29.7254 | + | 24.7585i | −1.19188 | + | 0.992725i | ||||
\(623\) | 18.3247 | − | 2.14419i | 0.734164 | − | 0.0859053i | ||||
\(624\) | 38.8688 | − | 7.36922i | 1.55600 | − | 0.295005i | ||||
\(625\) | −10.4998 | + | 18.1862i | −0.419993 | + | 0.727450i | ||||
\(626\) | −14.8508 | + | 12.3694i | −0.593558 | + | 0.494379i | ||||
\(627\) | −0.628835 | − | 0.340424i | −0.0251133 | − | 0.0135952i | ||||
\(628\) | −8.63558 | − | 1.58768i | −0.344597 | − | 0.0633554i | ||||
\(629\) | −3.01361 | −0.120160 | ||||||||
\(630\) | −7.77164 | + | 42.3719i | −0.309630 | + | 1.68814i | ||||
\(631\) | − | 1.78237i | − | 0.0709548i | −0.999370 | − | 0.0354774i | \(-0.988705\pi\) | ||
0.999370 | − | 0.0354774i | \(-0.0112952\pi\) | |||||||
\(632\) | 9.15345 | − | 5.15212i | 0.364105 | − | 0.204940i | ||||
\(633\) | 1.04471 | + | 1.70010i | 0.0415236 | + | 0.0675729i | ||||
\(634\) | −9.56579 | + | 7.96742i | −0.379906 | + | 0.316427i | ||||
\(635\) | −50.1261 | − | 28.9403i | −1.98919 | − | 1.14846i | ||||
\(636\) | 10.8357 | + | 8.72671i | 0.429662 | + | 0.346037i | ||||
\(637\) | −38.2948 | − | 11.4542i | −1.51730 | − | 0.453832i | ||||
\(638\) | 0.292620 | + | 0.351324i | 0.0115849 | + | 0.0139090i | ||||
\(639\) | 18.5935 | − | 1.02052i | 0.735549 | − | 0.0403712i | ||||
\(640\) | −40.4086 | − | 15.8864i | −1.59729 | − | 0.627963i | ||||
\(641\) | 2.86297 | − | 1.65293i | 0.113080 | − | 0.0652870i | −0.442393 | − | 0.896821i | \(-0.645870\pi\) |
0.555473 | + | 0.831534i | \(0.312537\pi\) | |||||||
\(642\) | 5.15020 | − | 15.2700i | 0.203262 | − | 0.602657i | ||||
\(643\) | −17.5136 | − | 30.3345i | −0.690671 | − | 1.19628i | −0.971618 | − | 0.236554i | \(-0.923982\pi\) |
0.280948 | − | 0.959723i | \(-0.409351\pi\) | |||||||
\(644\) | −16.1757 | − | 32.7920i | −0.637410 | − | 1.29219i | ||||
\(645\) | 17.1322 | + | 27.8799i | 0.674580 | + | 1.09777i | ||||
\(646\) | −0.505506 | − | 0.606917i | −0.0198889 | − | 0.0238788i | ||||
\(647\) | 20.8211 | − | 36.0631i | 0.818560 | − | 1.41779i | −0.0881823 | − | 0.996104i | \(-0.528106\pi\) |
0.906743 | − | 0.421684i | \(-0.138561\pi\) | |||||||
\(648\) | 14.8389 | + | 20.6835i | 0.582926 | + | 0.812525i | ||||
\(649\) | 0.656414 | + | 1.13694i | 0.0257665 | + | 0.0446289i | ||||
\(650\) | −77.4163 | + | 13.3598i | −3.03652 | + | 0.524015i | ||||
\(651\) | −0.270286 | + | 0.677294i | −0.0105933 | + | 0.0265453i | ||||
\(652\) | −21.9119 | + | 7.79484i | −0.858135 | + | 0.305270i | ||||
\(653\) | 1.62942 | − | 2.82223i | 0.0637639 | − | 0.110442i | −0.832381 | − | 0.554204i | \(-0.813023\pi\) |
0.896145 | + | 0.443761i | \(0.146356\pi\) | |||||||
\(654\) | −27.3764 | + | 5.50113i | −1.07050 | + | 0.215111i | ||||
\(655\) | 47.8688 | − | 27.6371i | 1.87039 | − | 1.07987i | ||||
\(656\) | −13.7444 | + | 2.21740i | −0.536628 | + | 0.0865748i | ||||
\(657\) | 19.5285 | − | 38.5620i | 0.761878 | − | 1.50445i | ||||
\(658\) | 38.4827 | − | 11.3736i | 1.50021 | − | 0.443387i | ||||
\(659\) | 9.45660 | + | 5.45977i | 0.368377 | + | 0.212682i | 0.672749 | − | 0.739871i | \(-0.265113\pi\) |
−0.304372 | + | 0.952553i | \(0.598447\pi\) | |||||||
\(660\) | 3.10540 | + | 0.483344i | 0.120877 | + | 0.0188141i | ||||
\(661\) | − | 15.7893i | − | 0.614131i | −0.951688 | − | 0.307066i | \(-0.900653\pi\) | ||
0.951688 | − | 0.307066i | \(-0.0993471\pi\) | |||||||
\(662\) | −25.3735 | + | 21.1338i | −0.986169 | + | 0.821387i | ||||
\(663\) | −3.16186 | + | 0.0867055i | −0.122797 | + | 0.00336736i | ||||
\(664\) | 0.135797 | − | 12.4181i | 0.00526994 | − | 0.481914i | ||||
\(665\) | 16.2830 | + | 7.02138i | 0.631429 | + | 0.272278i | ||||
\(666\) | 11.7334 | − | 38.2178i | 0.454662 | − | 1.48091i | ||||
\(667\) | 4.72520 | + | 8.18429i | 0.182961 | + | 0.316897i | ||||
\(668\) | 4.55035 | − | 1.61872i | 0.176058 | − | 0.0626303i | ||||
\(669\) | 11.1937 | + | 6.05979i | 0.432773 | + | 0.234285i | ||||
\(670\) | −1.82440 | − | 10.5719i | −0.0704829 | − | 0.408428i | ||||
\(671\) | −0.975475 | − | 1.68957i | −0.0376578 | − | 0.0652252i | ||||
\(672\) | 25.8920 | + | 1.26612i | 0.998807 | + | 0.0488417i | ||||
\(673\) | −18.3765 | + | 31.8290i | −0.708361 | + | 1.22692i | 0.257104 | + | 0.966384i | \(0.417232\pi\) |
−0.965465 | + | 0.260533i | \(0.916102\pi\) | |||||||
\(674\) | −26.9540 | − | 9.92186i | −1.03823 | − | 0.382176i | ||||
\(675\) | −28.7862 | − | 41.5533i | −1.10798 | − | 1.59939i | ||||
\(676\) | −29.8536 | − | 25.4233i | −1.14821 | − | 0.977818i | ||||
\(677\) | 21.4545 | 0.824563 | 0.412282 | − | 0.911056i | \(-0.364732\pi\) | ||||
0.412282 | + | 0.911056i | \(0.364732\pi\) | |||||||
\(678\) | 14.6222 | − | 43.3536i | 0.561560 | − | 1.66498i | ||||
\(679\) | −28.0899 | + | 20.9176i | −1.07799 | + | 0.802745i | ||||
\(680\) | 2.98726 | + | 1.76853i | 0.114556 | + | 0.0678201i | ||||
\(681\) | 10.0068 | − | 6.14917i | 0.383460 | − | 0.235637i | ||||
\(682\) | 0.0499258 | + | 0.0183779i | 0.00191176 | + | 0.000703725i | ||||
\(683\) | −25.8228 | − | 14.9088i | −0.988081 | − | 0.570469i | −0.0833808 | − | 0.996518i | \(-0.526572\pi\) |
−0.904700 | + | 0.426049i | \(0.859905\pi\) | |||||||
\(684\) | 9.66496 | − | 4.04768i | 0.369549 | − | 0.154767i | ||||
\(685\) | 15.4934i | 0.591972i | ||||||||
\(686\) | −22.6397 | − | 13.1698i | −0.864387 | − | 0.502826i | ||||
\(687\) | 11.6549 | + | 6.30945i | 0.444662 | + | 0.240721i | ||||
\(688\) | 15.2674 | − | 12.4361i | 0.582064 | − | 0.474122i | ||||
\(689\) | − | 22.9337i | − | 0.873704i | ||||||
\(690\) | 61.5517 | + | 20.7600i | 2.34323 | + | 0.790318i | ||||
\(691\) | −29.2526 | −1.11282 | −0.556411 | − | 0.830907i | \(-0.687822\pi\) | ||||
−0.556411 | + | 0.830907i | \(0.687822\pi\) | |||||||
\(692\) | 0.0159372 | − | 0.0866840i | 0.000605840 | − | 0.00329523i | ||||
\(693\) | −1.84890 | + | 0.319874i | −0.0702338 | + | 0.0121510i | ||||
\(694\) | 24.6337 | + | 29.5755i | 0.935081 | + | 1.12267i | ||||
\(695\) | −42.1241 | −1.59786 | ||||||||
\(696\) | −6.69908 | + | 0.110414i | −0.253928 | + | 0.00418522i | ||||
\(697\) | 1.11312 | 0.0421624 | ||||||||
\(698\) | 37.6090 | − | 6.49023i | 1.42352 | − | 0.245659i | ||||
\(699\) | −23.4777 | + | 14.4271i | −0.888008 | + | 0.545682i | ||||
\(700\) | −51.3680 | − | 3.36125i | −1.94153 | − | 0.127043i | ||||
\(701\) | −8.05137 | −0.304096 | −0.152048 | − | 0.988373i | \(-0.548587\pi\) | ||||
−0.152048 | + | 0.988373i | \(0.548587\pi\) | |||||||
\(702\) | 11.2111 | − | 40.4356i | 0.423136 | − | 1.52614i | ||||
\(703\) | −14.2515 | − | 8.22811i | −0.537506 | − | 0.310329i | ||||
\(704\) | 0.0413571 | − | 1.89074i | 0.00155871 | − | 0.0712601i | ||||
\(705\) | −33.9389 | + | 62.6922i | −1.27821 | + | 2.36112i | ||||
\(706\) | 0.238306 | − | 0.647390i | 0.00896878 | − | 0.0243648i | ||||
\(707\) | −1.91812 | − | 16.3927i | −0.0721385 | − | 0.616510i | ||||
\(708\) | −19.0088 | − | 2.95865i | −0.714393 | − | 0.111193i | ||||
\(709\) | − | 7.81703i | − | 0.293575i | −0.989168 | − | 0.146787i | \(-0.953107\pi\) | ||
0.989168 | − | 0.146787i | \(-0.0468933\pi\) | |||||||
\(710\) | 5.72904 | + | 33.1982i | 0.215007 | + | 1.24591i | ||||
\(711\) | −0.610562 | − | 11.1242i | −0.0228979 | − | 0.417191i | ||||
\(712\) | 16.9723 | + | 10.0480i | 0.636063 | + | 0.376564i | ||||
\(713\) | 0.952291 | + | 0.549805i | 0.0356636 | + | 0.0205904i | ||||
\(714\) | −2.02761 | − | 0.429656i | −0.0758813 | − | 0.0160795i | ||||
\(715\) | −2.59026 | − | 4.48646i | −0.0968701 | − | 0.167784i | ||||
\(716\) | −12.1780 | + | 14.3001i | −0.455112 | + | 0.534421i | ||||
\(717\) | −6.75473 | − | 10.9922i | −0.252260 | − | 0.410512i | ||||
\(718\) | 27.1257 | + | 9.98507i | 1.01232 | + | 0.372639i | ||||
\(719\) | −10.7577 | − | 18.6329i | −0.401194 | − | 0.694889i | 0.592676 | − | 0.805441i | \(-0.298071\pi\) |
−0.993870 | + | 0.110552i | \(0.964738\pi\) | |||||||
\(720\) | −34.0590 | + | 30.9980i | −1.26930 | + | 1.15523i | ||||
\(721\) | 31.1378 | + | 41.8143i | 1.15963 | + | 1.55724i | ||||
\(722\) | 3.83597 | + | 22.2283i | 0.142760 | + | 0.827253i | ||||
\(723\) | 13.6994 | + | 22.2935i | 0.509485 | + | 0.829103i | ||||
\(724\) | 2.24383 | + | 0.412536i | 0.0833913 | + | 0.0153318i | ||||
\(725\) | 13.3048 | 0.494130 | ||||||||
\(726\) | −5.28124 | − | 26.2821i | −0.196005 | − | 0.975421i | ||||
\(727\) | 35.6872 | + | 20.6040i | 1.32357 | + | 0.764161i | 0.984296 | − | 0.176528i | \(-0.0564867\pi\) |
0.339270 | + | 0.940689i | \(0.389820\pi\) | |||||||
\(728\) | −25.1452 | − | 34.5493i | −0.931943 | − | 1.28048i | ||||
\(729\) | 26.6355 | − | 4.42129i | 0.986502 | − | 0.163752i | ||||
\(730\) | 73.3857 | + | 27.0135i | 2.71613 | + | 0.999816i | ||||
\(731\) | −1.36346 | + | 0.787196i | −0.0504295 | + | 0.0291155i | ||||
\(732\) | 28.2483 | + | 4.39675i | 1.04409 | + | 0.162508i | ||||
\(733\) | 8.70457 | + | 5.02559i | 0.321511 | + | 0.185624i | 0.652066 | − | 0.758162i | \(-0.273903\pi\) |
−0.330555 | + | 0.943787i | \(0.607236\pi\) | |||||||
\(734\) | 16.1040 | − | 43.7485i | 0.594409 | − | 1.61479i | ||||
\(735\) | 44.9619 | − | 11.9791i | 1.65845 | − | 0.441854i | ||||
\(736\) | 7.48818 | − | 38.3652i | 0.276018 | − | 1.41416i | ||||
\(737\) | 0.404679 | − | 0.233641i | 0.0149065 | − | 0.00860629i | ||||
\(738\) | −4.33392 | + | 14.1163i | −0.159534 | + | 0.519629i | ||||
\(739\) | −11.1383 | + | 19.2921i | −0.409728 | + | 0.709670i | −0.994859 | − | 0.101269i | \(-0.967710\pi\) |
0.585131 | + | 0.810939i | \(0.301043\pi\) | |||||||
\(740\) | 71.1343 | + | 13.0783i | 2.61495 | + | 0.480767i | ||||
\(741\) | −15.1893 | − | 8.22286i | −0.557994 | − | 0.302074i | ||||
\(742\) | 3.51703 | − | 14.6102i | 0.129114 | − | 0.536358i | ||||
\(743\) | −13.2692 | − | 22.9829i | −0.486799 | − | 0.843160i | 0.513086 | − | 0.858337i | \(-0.328502\pi\) |
−0.999885 | + | 0.0151769i | \(0.995169\pi\) | |||||||
\(744\) | −0.668624 | + | 0.400865i | −0.0245130 | + | 0.0146964i | ||||
\(745\) | 36.4758 | + | 63.1779i | 1.33637 | + | 2.31466i | ||||
\(746\) | 1.65342 | − | 0.285333i | 0.0605361 | − | 0.0104468i | ||||
\(747\) | −11.7512 | − | 5.95100i | −0.429954 | − | 0.217736i | ||||
\(748\) | −0.0273418 | + | 0.148715i | −0.000999714 | + | 0.00543756i | ||||
\(749\) | −17.2883 | + | 2.02293i | −0.631702 | + | 0.0739161i | ||||
\(750\) | 33.3616 | − | 29.3728i | 1.21819 | − | 1.07254i | ||||
\(751\) | 18.5195 | + | 10.6922i | 0.675785 | + | 0.390165i | 0.798265 | − | 0.602306i | \(-0.205751\pi\) |
−0.122480 | + | 0.992471i | \(0.539085\pi\) | |||||||
\(752\) | 40.0935 | + | 15.2584i | 1.46206 | + | 0.556418i | ||||
\(753\) | −0.372292 | − | 13.5763i | −0.0135671 | − | 0.494747i | ||||
\(754\) | 7.06816 | + | 8.48613i | 0.257407 | + | 0.309047i | ||||
\(755\) | 31.1668i | 1.13427i | ||||||||
\(756\) | 13.3433 | − | 24.0407i | 0.485289 | − | 0.874354i | ||||
\(757\) | − | 14.5812i | − | 0.529964i | −0.964253 | − | 0.264982i | \(-0.914634\pi\) | ||
0.964253 | − | 0.264982i | \(-0.0853660\pi\) | |||||||
\(758\) | −11.3973 | + | 9.49286i | −0.413967 | + | 0.344796i | ||||
\(759\) | 0.0775584 | + | 2.82830i | 0.00281519 | + | 0.102661i | ||||
\(760\) | 9.29827 | + | 16.5197i | 0.337284 | + | 0.599231i | ||||
\(761\) | 21.6831 | + | 12.5187i | 0.786012 | + | 0.453804i | 0.838557 | − | 0.544814i | \(-0.183400\pi\) |
−0.0525447 | + | 0.998619i | \(0.516733\pi\) | |||||||
\(762\) | 24.4124 | + | 27.7275i | 0.884367 | + | 1.00446i | ||||
\(763\) | 18.0139 | + | 24.1906i | 0.652149 | + | 0.875757i | ||||
\(764\) | 3.50195 | − | 19.0475i | 0.126696 | − | 0.689114i | ||||
\(765\) | 3.08311 | − | 2.01304i | 0.111470 | − | 0.0727817i | ||||
\(766\) | −2.57074 | − | 14.8967i | −0.0928848 | − | 0.538241i | ||||
\(767\) | 15.8555 | + | 27.4625i | 0.572509 | + | 0.991614i | ||||
\(768\) | 21.1981 | + | 17.8505i | 0.764922 | + | 0.644123i | ||||
\(769\) | −19.4327 | − | 33.6585i | −0.700763 | − | 1.21376i | −0.968199 | − | 0.250181i | \(-0.919510\pi\) |
0.267436 | − | 0.963576i | \(-0.413824\pi\) | |||||||
\(770\) | −0.962132 | − | 3.25539i | −0.0346728 | − | 0.117316i | ||||
\(771\) | −18.3747 | − | 9.94727i | −0.661748 | − | 0.358242i | ||||
\(772\) | −4.72976 | + | 25.7257i | −0.170228 | + | 0.925888i | ||||
\(773\) | 10.0724 | − | 17.4459i | 0.362279 | − | 0.627485i | −0.626057 | − | 0.779777i | \(-0.715332\pi\) |
0.988335 | + | 0.152292i | \(0.0486655\pi\) | |||||||
\(774\) | −4.67440 | − | 20.3560i | −0.168018 | − | 0.731683i | ||||
\(775\) | 1.34069 | − | 0.774049i | 0.0481591 | − | 0.0278047i | ||||
\(776\) | −37.4386 | − | 0.409407i | −1.34397 | − | 0.0146969i | ||||
\(777\) | −42.7354 | + | 6.19228i | −1.53312 | + | 0.222147i | ||||
\(778\) | 46.3224 | + | 17.0514i | 1.66074 | + | 0.611324i | ||||
\(779\) | 5.26400 | + | 3.03917i | 0.188602 | + | 0.108890i | ||||
\(780\) | 75.0100 | + | 11.6750i | 2.68579 | + | 0.418033i | ||||
\(781\) | −1.27078 | + | 0.733687i | −0.0454722 | + | 0.0262534i | ||||
\(782\) | −1.07962 | + | 2.93292i | −0.0386071 | + | 0.104881i | ||||
\(783\) | −3.03560 | + | 6.42544i | −0.108483 | + | 0.229627i | ||||
\(784\) | −10.7207 | − | 25.8663i | −0.382884 | − | 0.923797i | ||||
\(785\) | −14.5911 | − | 8.42418i | −0.520779 | − | 0.300672i | ||||
\(786\) | −34.5879 | + | 6.95024i | −1.23371 | + | 0.247907i | ||||
\(787\) | 10.3254 | 0.368061 | 0.184030 | − | 0.982921i | \(-0.441085\pi\) | ||||
0.184030 | + | 0.982921i | \(0.441085\pi\) | |||||||
\(788\) | −4.74274 | + | 25.7963i | −0.168953 | + | 0.918956i | ||||
\(789\) | 17.6422 | + | 28.7097i | 0.628078 | + | 1.02209i | ||||
\(790\) | 19.8620 | − | 3.42760i | 0.706657 | − | 0.121949i | ||||
\(791\) | −49.0840 | + | 5.74338i | −1.74523 | + | 0.204211i | ||||
\(792\) | −1.77951 | − | 0.925762i | −0.0632322 | − | 0.0328955i | ||||
\(793\) | −23.5623 | − | 40.8111i | −0.836723 | − | 1.44925i | ||||
\(794\) | −3.94380 | + | 10.7138i | −0.139960 | + | 0.380220i | ||||
\(795\) | 13.9773 | + | 22.7457i | 0.495723 | + | 0.806708i | ||||
\(796\) | −8.09799 | + | 9.50915i | −0.287026 | + | 0.337043i | ||||
\(797\) | −7.12181 | − | 12.3353i | −0.252268 | − | 0.436940i | 0.711882 | − | 0.702299i | \(-0.247843\pi\) |
−0.964150 | + | 0.265359i | \(0.914510\pi\) | |||||||
\(798\) | −8.41556 | − | 7.56788i | −0.297907 | − | 0.267900i | ||||
\(799\) | −2.97039 | − | 1.71496i | −0.105085 | − | 0.0606707i | ||||
\(800\) | −41.5054 | − | 36.1363i | −1.46744 | − | 1.27761i | ||||
\(801\) | 17.5168 | − | 11.4372i | 0.618926 | − | 0.404113i | ||||
\(802\) | 26.2508 | − | 4.53012i | 0.926946 | − | 0.159964i | ||||
\(803\) | 3.40611i | 0.120199i | ||||||||
\(804\) | −1.05309 | + | 6.76590i | −0.0371396 | + | 0.238615i | ||||
\(805\) | −8.15422 | − | 69.6876i | −0.287398 | − | 2.45616i | ||||
\(806\) | 1.20594 | + | 0.443912i | 0.0424776 | + | 0.0156362i | ||||
\(807\) | 20.5874 | − | 38.0292i | 0.724711 | − | 1.33869i | ||||
\(808\) | 8.98859 | − | 15.1828i | 0.316217 | − | 0.534130i | ||||
\(809\) | −12.8628 | − | 7.42634i | −0.452232 | − | 0.261096i | 0.256540 | − | 0.966534i | \(-0.417417\pi\) |
−0.708772 | + | 0.705437i | \(0.750751\pi\) | |||||||
\(810\) | 13.5249 | + | 46.9370i | 0.475215 | + | 1.64920i | ||||
\(811\) | −0.570088 | −0.0200185 | −0.0100093 | − | 0.999950i | \(-0.503186\pi\) | ||||
−0.0100093 | + | 0.999950i | \(0.503186\pi\) | |||||||
\(812\) | 3.20147 | + | 6.49016i | 0.112349 | + | 0.227760i | ||||
\(813\) | −17.6549 | + | 10.8490i | −0.619184 | + | 0.380489i | ||||
\(814\) | 0.535731 | + | 3.10441i | 0.0187774 | + | 0.108810i | ||||
\(815\) | −44.6274 | −1.56323 | ||||||||
\(816\) | −1.44591 | − | 1.67893i | −0.0506171 | − | 0.0587743i | ||||
\(817\) | −8.59718 | −0.300777 | ||||||||
\(818\) | 19.1639 | − | 15.9617i | 0.670050 | − | 0.558089i | ||||
\(819\) | −44.6596 | + | 7.72647i | −1.56053 | + | 0.269985i | ||||
\(820\) | −26.2745 | − | 4.83065i | −0.917544 | − | 0.168694i | ||||
\(821\) | −38.1291 | −1.33071 | −0.665357 | − | 0.746526i | \(-0.731721\pi\) | ||||
−0.665357 | + | 0.746526i | \(0.731721\pi\) | |||||||
\(822\) | 3.16036 | − | 9.37021i | 0.110230 | − | 0.326824i | ||||
\(823\) | 33.4902i | 1.16740i | 0.811971 | + | 0.583698i | \(0.198395\pi\) | ||||
−0.811971 | + | 0.583698i | \(0.801605\pi\) | |||||||
\(824\) | −0.609439 | + | 55.7307i | −0.0212308 | + | 1.94147i | ||||
\(825\) | 3.50298 | + | 1.89636i | 0.121958 | + | 0.0660229i | ||||
\(826\) | 5.88941 | + | 19.9269i | 0.204919 | + | 0.693347i | ||||
\(827\) | − | 5.15036i | − | 0.179096i | −0.995983 | − | 0.0895478i | \(-0.971458\pi\) | ||
0.995983 | − | 0.0895478i | \(-0.0285422\pi\) | |||||||
\(828\) | −32.9911 | − | 25.1107i | −1.14652 | − | 0.872658i | ||||
\(829\) | 10.0357 | + | 5.79409i | 0.348553 | + | 0.201237i | 0.664048 | − | 0.747690i | \(-0.268837\pi\) |
−0.315495 | + | 0.948927i | \(0.602171\pi\) | |||||||
\(830\) | 8.23197 | − | 22.3632i | 0.285736 | − | 0.776238i | ||||
\(831\) | −3.27756 | + | 2.01407i | −0.113697 | + | 0.0698672i | ||||
\(832\) | 0.998970 | − | 45.6704i | 0.0346331 | − | 1.58334i | ||||
\(833\) | 0.516828 | + | 2.17822i | 0.0179070 | + | 0.0754709i | ||||
\(834\) | 25.4761 | + | 8.59250i | 0.882166 | + | 0.297534i | ||||
\(835\) | 9.26760 | 0.320719 | ||||||||
\(836\) | −0.535340 | + | 0.628629i | −0.0185151 | + | 0.0217416i | ||||
\(837\) | 0.0679306 | + | 0.824078i | 0.00234802 | + | 0.0284843i | ||||
\(838\) | 9.78853 | − | 26.5918i | 0.338139 | − | 0.918598i | ||||
\(839\) | 25.8837 | − | 44.8318i | 0.893603 | − | 1.54777i | 0.0580786 | − | 0.998312i | \(-0.481503\pi\) |
0.835524 | − | 0.549454i | \(-0.185164\pi\) | |||||||
\(840\) | 45.9957 | + | 18.9410i | 1.58700 | + | 0.653528i | ||||
\(841\) | 13.5648 | + | 23.4949i | 0.467751 | + | 0.810169i | ||||
\(842\) | 4.21286 | − | 0.727018i | 0.145185 | − | 0.0250547i | ||||
\(843\) | 4.30643 | + | 2.33131i | 0.148321 | + | 0.0802947i | ||||
\(844\) | 2.17086 | − | 0.772254i | 0.0747241 | − | 0.0265821i | ||||
\(845\) | −37.6215 | − | 65.1624i | −1.29422 | − | 2.24165i | ||||
\(846\) | 33.3138 | − | 30.9926i | 1.14535 | − | 1.06555i | ||||
\(847\) | −23.2236 | + | 17.2939i | −0.797973 | + | 0.594225i | ||||
\(848\) | 12.4559 | − | 10.1460i | 0.427737 | − | 0.348414i | ||||
\(849\) | 9.16849 | − | 0.251421i | 0.314662 | − | 0.00862874i | ||||
\(850\) | 2.81596 | + | 3.38089i | 0.0965867 | + | 0.115963i | ||||
\(851\) | 65.1136i | 2.23206i | ||||||||
\(852\) | 3.30694 | − | 21.2465i | 0.113294 | − | 0.727892i | ||||
\(853\) | 40.4250 | + | 23.3394i | 1.38413 | + | 0.799125i | 0.992645 | − | 0.121061i | \(-0.0386298\pi\) |
0.391480 | + | 0.920186i | \(0.371963\pi\) | |||||||
\(854\) | −8.75205 | − | 29.6128i | −0.299489 | − | 1.01333i | ||||
\(855\) | 20.0764 | − | 1.10191i | 0.686599 | − | 0.0376845i | ||||
\(856\) | −16.0124 | − | 9.47971i | −0.547292 | − | 0.324010i | ||||
\(857\) | −1.34503 | + | 0.776554i | −0.0459454 | + | 0.0265266i | −0.522797 | − | 0.852457i | \(-0.675111\pi\) |
0.476851 | + | 0.878984i | \(0.341778\pi\) | |||||||
\(858\) | 0.651405 | + | 3.24172i | 0.0222386 | + | 0.110670i | ||||
\(859\) | 13.9278 | − | 24.1237i | 0.475211 | − | 0.823089i | −0.524386 | − | 0.851481i | \(-0.675705\pi\) |
0.999597 | + | 0.0283915i | \(0.00903851\pi\) | |||||||
\(860\) | 35.5999 | − | 12.6642i | 1.21395 | − | 0.431844i | ||||
\(861\) | 15.7849 | − | 2.28721i | 0.537949 | − | 0.0779479i | ||||
\(862\) | 0.601697 | + | 3.48666i | 0.0204939 | + | 0.118756i | ||||
\(863\) | 16.4289 | + | 28.4556i | 0.559245 | + | 0.968641i | 0.997560 | + | 0.0698196i | \(0.0222424\pi\) |
−0.438314 | + | 0.898822i | \(0.644424\pi\) | |||||||
\(864\) | 26.9214 | − | 11.7998i | 0.915886 | − | 0.401439i | ||||
\(865\) | 0.0845620 | − | 0.146466i | 0.00287520 | − | 0.00497998i | ||||
\(866\) | −24.2650 | + | 20.2105i | −0.824558 | + | 0.686780i | ||||
\(867\) | −15.3232 | − | 24.9359i | −0.520402 | − | 0.846868i | ||||
\(868\) | 0.700187 | + | 0.467740i | 0.0237659 | + | 0.0158761i | ||||
\(869\) | 0.438953 | + | 0.760290i | 0.0148905 | + | 0.0257911i | ||||
\(870\) | −12.1822 | − | 4.10879i | −0.413017 | − | 0.139301i | ||||
\(871\) | 9.77490 | − | 5.64354i | 0.331210 | − | 0.191224i | ||||
\(872\) | −0.352575 | + | 32.2415i | −0.0119397 | + | 1.09184i | ||||
\(873\) | −17.9414 | + | 35.4281i | −0.607224 | + | 1.19906i | ||||
\(874\) | −13.1134 | + | 10.9222i | −0.443566 | + | 0.369450i | ||||
\(875\) | −44.0868 | − | 19.0106i | −1.49041 | − | 0.642676i | ||||
\(876\) | −38.8725 | − | 31.3067i | −1.31338 | − | 1.05776i | ||||
\(877\) | −47.4930 | − | 27.4201i | −1.60373 | − | 0.925912i | −0.990733 | − | 0.135823i | \(-0.956632\pi\) |
−0.612993 | − | 0.790089i | \(-0.710035\pi\) | |||||||
\(878\) | 23.5552 | + | 28.2807i | 0.794948 | + | 0.954426i | ||||
\(879\) | 14.2932 | + | 23.2599i | 0.482099 | + | 0.784537i | ||||
\(880\) | 1.29077 | − | 3.39167i | 0.0435118 | − | 0.114333i | ||||
\(881\) | 5.51256i | 0.185723i | 0.995679 | + | 0.0928614i | \(0.0296014\pi\) | ||||
−0.995679 | + | 0.0928614i | \(0.970399\pi\) | |||||||
\(882\) | −29.6359 | − | 1.92659i | −0.997894 | − | 0.0648717i | ||||
\(883\) | −36.5642 | −1.23048 | −0.615242 | − | 0.788338i | \(-0.710942\pi\) | ||||
−0.615242 | + | 0.788338i | \(0.710942\pi\) | |||||||
\(884\) | −0.660433 | + | 3.59217i | −0.0222128 | + | 0.120818i | ||||
\(885\) | −32.4630 | − | 17.5741i | −1.09123 | − | 0.590746i | ||||
\(886\) | −13.6927 | − | 16.4397i | −0.460016 | − | 0.552301i | ||||
\(887\) | 15.8417 | − | 27.4386i | 0.531912 | − | 0.921298i | −0.467394 | − | 0.884049i | \(-0.654807\pi\) |
0.999306 | − | 0.0372493i | \(-0.0118596\pi\) | |||||||
\(888\) | −40.3534 | − | 22.4196i | −1.35417 | − | 0.752353i | ||||
\(889\) | 15.8001 | − | 36.6415i | 0.529919 | − | 1.22892i | ||||
\(890\) | 24.2219 | + | 29.0811i | 0.811918 | + | 0.974801i | ||||
\(891\) | −1.71506 | + | 1.25906i | −0.0574567 | + | 0.0421801i | ||||
\(892\) | 9.52942 | − | 11.1900i | 0.319068 | − | 0.374670i | ||||
\(893\) | −9.36475 | − | 16.2202i | −0.313379 | − | 0.542789i | ||||
\(894\) | −9.17302 | − | 45.6496i | −0.306792 | − | 1.52675i | ||||
\(895\) | −31.2134 | + | 18.0210i | −1.04335 | + | 0.602377i | ||||
\(896\) | 7.64027 | − | 28.9418i | 0.255243 | − | 0.966877i | ||||
\(897\) | 1.87340 | + | 68.3168i | 0.0625511 | + | 2.28103i | ||||
\(898\) | 20.6907 | + | 24.8416i | 0.690459 | + | 0.828975i | ||||
\(899\) | −0.188476 | − | 0.108817i | −0.00628604 | − | 0.00362924i | ||||
\(900\) | −53.8395 | + | 22.5479i | −1.79465 | + | 0.751597i | ||||
\(901\) | −1.11238 | + | 0.642232i | −0.0370587 | + | 0.0213959i | ||||
\(902\) | −0.197880 | − | 1.14666i | −0.00658869 | − | 0.0381796i | ||||
\(903\) | −17.7175 | + | 13.9647i | −0.589601 | + | 0.464715i | ||||
\(904\) | −45.4614 | − | 26.9142i | −1.51203 | − | 0.895154i | ||||
\(905\) | 3.79129 | + | 2.18890i | 0.126027 | + | 0.0727616i | ||||
\(906\) | 6.35742 | − | 18.8493i | 0.211211 | − | 0.626225i | ||||
\(907\) | −25.4983 | − | 44.1644i | −0.846658 | − | 1.46645i | −0.884174 | − | 0.467159i | \(-0.845278\pi\) |
0.0375157 | − | 0.999296i | \(-0.488056\pi\) | |||||||
\(908\) | −4.54548 | − | 12.7777i | −0.150847 | − | 0.424041i | ||||
\(909\) | −10.2313 | − | 15.6699i | −0.339351 | − | 0.519739i | ||||
\(910\) | −23.2400 | − | 78.6332i | −0.770400 | − | 2.60666i | ||||
\(911\) | 2.93546 | − | 5.08436i | 0.0972560 | − | 0.168452i | −0.813292 | − | 0.581856i | \(-0.802327\pi\) |
0.910548 | + | 0.413404i | \(0.135660\pi\) | |||||||
\(912\) | −2.25379 | − | 11.8876i | −0.0746304 | − | 0.393636i | ||||
\(913\) | 1.03796 | 0.0343515 | ||||||||
\(914\) | −23.0637 | + | 19.2099i | −0.762879 | + | 0.635407i | ||||
\(915\) | 48.2422 | + | 26.1163i | 1.59484 | + | 0.863377i | ||||
\(916\) | 9.92204 | − | 11.6511i | 0.327833 | − | 0.384962i | ||||
\(917\) | 22.7592 | + | 30.5628i | 0.751575 | + | 1.00927i | ||||
\(918\) | −2.27525 | + | 0.588568i | −0.0750943 | + | 0.0194256i | ||||
\(919\) | −24.0872 | + | 13.9068i | −0.794565 | + | 0.458742i | −0.841567 | − | 0.540152i | \(-0.818367\pi\) |
0.0470022 | + | 0.998895i | \(0.485033\pi\) | |||||||
\(920\) | 38.2118 | − | 64.5444i | 1.25981 | − | 2.12796i | ||||
\(921\) | 20.3814 | − | 0.558904i | 0.671589 | − | 0.0184165i | ||||
\(922\) | 0.867109 | + | 5.02465i | 0.0285567 | + | 0.165478i | ||||
\(923\) | −30.6954 | + | 17.7220i | −1.01035 | + | 0.583327i | ||||
\(924\) | −0.0821525 | + | 2.16508i | −0.00270262 | + | 0.0712259i | ||||
\(925\) | 79.3892 | + | 45.8354i | 2.61030 | + | 1.50706i | ||||
\(926\) | −15.2491 | + | 41.4260i | −0.501116 | + | 1.36134i | ||||
\(927\) | 52.7378 | + | 26.7073i | 1.73214 | + | 0.877184i | ||||
\(928\) | −1.48205 | + | 7.59320i | −0.0486507 | + | 0.249259i | ||||
\(929\) | − | 4.11284i | − | 0.134938i | −0.997721 | − | 0.0674690i | \(-0.978508\pi\) | ||
0.997721 | − | 0.0674690i | \(-0.0214924\pi\) | |||||||
\(930\) | −1.46661 | + | 0.294707i | −0.0480921 | + | 0.00966382i | ||||
\(931\) | −3.50313 | + | 11.7120i | −0.114810 | + | 0.383846i | ||||
\(932\) | 10.6645 | + | 29.9787i | 0.349328 | + | 0.981986i | ||||
\(933\) | 47.3623 | − | 1.29878i | 1.55057 | − | 0.0425202i | ||||
\(934\) | −6.42462 | + | 17.4533i | −0.210220 | + | 0.571090i | ||||
\(935\) | −0.145075 | + | 0.251276i | −0.00474445 | + | 0.00821762i | ||||
\(936\) | −42.9836 | − | 22.3615i | −1.40496 | − | 0.730909i | ||||
\(937\) | −37.4587 | −1.22372 | −0.611862 | − | 0.790965i | \(-0.709579\pi\) | ||||
−0.611862 | + | 0.790965i | \(0.709579\pi\) | |||||||
\(938\) | 7.09271 | − | 2.09625i | 0.231585 | − | 0.0684450i | ||||
\(939\) | 23.6622 | − | 0.648872i | 0.772187 | − | 0.0211751i | ||||
\(940\) | 62.6716 | + | 53.3711i | 2.04412 | + | 1.74077i | ||||
\(941\) | 24.7884 | 0.808077 | 0.404039 | − | 0.914742i | \(-0.367606\pi\) | ||||
0.404039 | + | 0.914742i | \(0.367606\pi\) | |||||||
\(942\) | 7.10616 | + | 8.07115i | 0.231531 | + | 0.262972i | ||||
\(943\) | − | 24.0506i | − | 0.783196i | ||||||
\(944\) | −7.90106 | + | 20.7611i | −0.257158 | + | 0.675715i | ||||
\(945\) | 39.5846 | − | 34.8816i | 1.28769 | − | 1.13470i | ||||
\(946\) | 1.05330 | + | 1.26460i | 0.0342457 | + | 0.0411158i | ||||
\(947\) | − | 25.9467i | − | 0.843154i | −0.906793 | − | 0.421577i | \(-0.861477\pi\) | ||
0.906793 | − | 0.421577i | \(-0.138523\pi\) | |||||||
\(948\) | −12.7114 | − | 1.97849i | −0.412848 | − | 0.0642584i | ||||
\(949\) | 82.2737i | 2.67072i | ||||||||
\(950\) | 4.08594 | + | 23.6769i | 0.132565 | + | 0.768179i | ||||
\(951\) | 15.2414 | − | 0.417955i | 0.494238 | − | 0.0135531i | ||||
\(952\) | −0.971621 | + | 2.18716i | −0.0314904 | + | 0.0708863i | ||||
\(953\) | 4.17710i | 0.135309i | 0.997709 | + | 0.0676547i | \(0.0215516\pi\) | ||||
−0.997709 | + | 0.0676547i | \(0.978448\pi\) | |||||||
\(954\) | −3.81360 | − | 16.6074i | −0.123470 | − | 0.537686i | ||||
\(955\) | 18.5812 | − | 32.1836i | 0.601274 | − | 1.04144i | ||||
\(956\) | −14.0360 | + | 4.99311i | −0.453956 | + | 0.161489i | ||||
\(957\) | −0.0153503 | − | 0.559774i | −0.000496204 | − | 0.0180949i | ||||
\(958\) | 25.7452 | + | 9.47690i | 0.831789 | + | 0.306185i | ||||
\(959\) | −10.6088 | + | 1.24134i | −0.342575 | + | 0.0400851i | ||||
\(960\) | 26.8437 | + | 45.9050i | 0.866378 | + | 1.48158i | ||||
\(961\) | 30.9747 | 0.999183 | ||||||||
\(962\) | 12.9404 | + | 74.9862i | 0.417217 | + | 2.41765i | ||||
\(963\) | −16.5261 | + | 10.7903i | −0.532547 | + | 0.347714i | ||||
\(964\) | 28.4666 | − | 10.1266i | 0.916847 | − | 0.326156i | ||||
\(965\) | −25.0959 | + | 43.4675i | −0.807867 | + | 1.39927i | ||||
\(966\) | −9.28336 | + | 43.8095i | −0.298687 | + | 1.40955i | ||||
\(967\) | −21.8350 | + | 12.6065i | −0.702167 | + | 0.405396i | −0.808154 | − | 0.588971i | \(-0.799533\pi\) |
0.105987 | + | 0.994368i | \(0.466200\pi\) | |||||||
\(968\) | −30.9528 | − | 0.338482i | −0.994860 | − | 0.0108792i | ||||
\(969\) | 0.0265178 | + | 0.967018i | 0.000851876 | + | 0.0310651i | ||||
\(970\) | −67.4217 | − | 24.8182i | −2.16478 | − | 0.796863i | ||||
\(971\) | 41.2776 | − | 23.8316i | 1.32466 | − | 0.764794i | 0.340193 | − | 0.940355i | \(-0.389507\pi\) |
0.984468 | + | 0.175562i | \(0.0561741\pi\) | |||||||
\(972\) | 1.39457 | − | 31.1457i | 0.0447310 | − | 0.998999i | ||||
\(973\) | −3.37501 | − | 28.8435i | −0.108198 | − | 0.924682i | ||||
\(974\) | 8.06124 | − | 1.39114i | 0.258299 | − | 0.0445749i | ||||
\(975\) | 84.6135 | + | 45.8061i | 2.70980 | + | 1.46697i | ||||
\(976\) | 11.7415 | − | 30.8523i | 0.375836 | − | 0.987559i | ||||
\(977\) | − | 15.8150i | − | 0.505967i | −0.967471 | − | 0.252983i | \(-0.918588\pi\) | ||
0.967471 | − | 0.252983i | \(-0.0814118\pi\) | |||||||
\(978\) | 26.9901 | + | 9.10314i | 0.863049 | + | 0.291086i | ||||
\(979\) | −0.824247 | + | 1.42764i | −0.0263430 | + | 0.0456275i | ||||
\(980\) | −2.74648 | − | 53.6584i | −0.0877330 | − | 1.71405i | ||||
\(981\) | 30.5101 | + | 15.4508i | 0.974113 | + | 0.493307i | ||||
\(982\) | −7.35160 | + | 19.9716i | −0.234599 | + | 0.637318i | ||||
\(983\) | −3.62360 | − | 6.27626i | −0.115575 | − | 0.200182i | 0.802435 | − | 0.596740i | \(-0.203538\pi\) |
−0.918009 | + | 0.396559i | \(0.870204\pi\) | |||||||
\(984\) | 14.9051 | + | 8.28101i | 0.475158 | + | 0.263989i | ||||
\(985\) | −25.1648 | + | 43.5868i | −0.801818 | + | 1.38879i | ||||
\(986\) | 0.213677 | − | 0.580480i | 0.00680485 | − | 0.0184862i | ||||
\(987\) | −45.6463 | − | 18.2160i | −1.45294 | − | 0.579820i | ||||
\(988\) | −12.9310 | + | 15.1844i | −0.411390 | + | 0.483079i | ||||
\(989\) | 17.0086 | + | 29.4597i | 0.540840 | + | 0.936763i | ||||
\(990\) | −2.62178 | − | 2.81814i | −0.0833257 | − | 0.0895664i | ||||
\(991\) | −9.19546 | − | 5.30900i | −0.292104 | − | 0.168646i | 0.346787 | − | 0.937944i | \(-0.387273\pi\) |
−0.638890 | + | 0.769298i | \(0.720606\pi\) | |||||||
\(992\) | 0.292415 | + | 0.851368i | 0.00928418 | + | 0.0270310i | ||||
\(993\) | 40.4283 | − | 1.10864i | 1.28295 | − | 0.0351815i | ||||
\(994\) | −22.2727 | + | 6.58271i | −0.706448 | + | 0.208791i | ||||
\(995\) | −20.7559 | + | 11.9835i | −0.658008 | + | 0.379901i | ||||
\(996\) | −9.54026 | + | 11.8458i | −0.302295 | + | 0.375349i | ||||
\(997\) | 4.09717 | − | 2.36550i | 0.129759 | − | 0.0749163i | −0.433716 | − | 0.901050i | \(-0.642798\pi\) |
0.563474 | + | 0.826134i | \(0.309464\pi\) | |||||||
\(998\) | −2.96612 | − | 17.1878i | −0.0938908 | − | 0.544070i | ||||
\(999\) | −40.2490 | + | 27.8826i | −1.27342 | + | 0.882165i |
(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 | 504.2.bt.a.11.20 | ✓ | 184 | |
7.2 | even | 3 | 504.2.cy.a.443.82 | yes | 184 | ||
8.3 | odd | 2 | inner | 504.2.bt.a.11.73 | yes | 184 | |
9.5 | odd | 6 | 504.2.cy.a.347.52 | yes | 184 | ||
56.51 | odd | 6 | 504.2.cy.a.443.52 | yes | 184 | ||
63.23 | odd | 6 | inner | 504.2.bt.a.275.73 | yes | 184 | |
72.59 | even | 6 | 504.2.cy.a.347.82 | yes | 184 | ||
504.275 | even | 6 | inner | 504.2.bt.a.275.20 | yes | 184 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.bt.a.11.20 | ✓ | 184 | 1.1 | even | 1 | trivial | |
504.2.bt.a.11.73 | yes | 184 | 8.3 | odd | 2 | inner | |
504.2.bt.a.275.20 | yes | 184 | 504.275 | even | 6 | inner | |
504.2.bt.a.275.73 | yes | 184 | 63.23 | odd | 6 | inner | |
504.2.cy.a.347.52 | yes | 184 | 9.5 | odd | 6 | ||
504.2.cy.a.347.82 | yes | 184 | 72.59 | even | 6 | ||
504.2.cy.a.443.52 | yes | 184 | 56.51 | odd | 6 | ||
504.2.cy.a.443.82 | yes | 184 | 7.2 | even | 3 |