Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(25,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 20, 24]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.y (of order \(15\), 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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 25.3 | ||
Character | \(\chi\) | \(=\) | 462.25 |
Dual form | 462.2.y.c.37.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.913545 | − | 0.406737i | −0.645974 | − | 0.287606i | ||||
\(3\) | −0.978148 | − | 0.207912i | −0.564734 | − | 0.120038i | ||||
\(4\) | 0.669131 | + | 0.743145i | 0.334565 | + | 0.371572i | ||||
\(5\) | −0.0207786 | + | 0.197695i | −0.00929247 | + | 0.0884120i | −0.998185 | − | 0.0602192i | \(-0.980820\pi\) |
0.988893 | + | 0.148631i | \(0.0474867\pi\) | |||||||
\(6\) | 0.809017 | + | 0.587785i | 0.330280 | + | 0.239962i | ||||
\(7\) | −2.07849 | + | 1.63704i | −0.785594 | + | 0.618743i | ||||
\(8\) | −0.309017 | − | 0.951057i | −0.109254 | − | 0.336249i | ||||
\(9\) | 0.913545 | + | 0.406737i | 0.304515 | + | 0.135579i | ||||
\(10\) | 0.0993921 | − | 0.172152i | 0.0314305 | − | 0.0544393i | ||||
\(11\) | −1.70343 | − | 2.84575i | −0.513605 | − | 0.858027i | ||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | 2.44038 | − | 1.77304i | 0.676840 | − | 0.491753i | −0.195468 | − | 0.980710i | \(-0.562623\pi\) |
0.872308 | + | 0.488957i | \(0.162623\pi\) | |||||||
\(14\) | 2.56464 | − | 0.650113i | 0.685428 | − | 0.173750i | ||||
\(15\) | 0.0614277 | − | 0.189055i | 0.0158606 | − | 0.0488138i | ||||
\(16\) | −0.104528 | + | 0.994522i | −0.0261321 | + | 0.248630i | ||||
\(17\) | 4.83838 | − | 2.15419i | 1.17348 | − | 0.522467i | 0.274984 | − | 0.961449i | \(-0.411327\pi\) |
0.898496 | + | 0.438981i | \(0.144661\pi\) | |||||||
\(18\) | −0.669131 | − | 0.743145i | −0.157716 | − | 0.175161i | ||||
\(19\) | −0.813228 | + | 0.903181i | −0.186567 | + | 0.207204i | −0.829171 | − | 0.558994i | \(-0.811187\pi\) |
0.642604 | + | 0.766198i | \(0.277854\pi\) | |||||||
\(20\) | −0.160820 | + | 0.116842i | −0.0359604 | + | 0.0261268i | ||||
\(21\) | 2.37343 | − | 1.16912i | 0.517924 | − | 0.255124i | ||||
\(22\) | 0.398693 | + | 3.29257i | 0.0850017 | + | 0.701979i | ||||
\(23\) | −0.917325 | − | 1.58885i | −0.191275 | − | 0.331299i | 0.754398 | − | 0.656418i | \(-0.227929\pi\) |
−0.945673 | + | 0.325119i | \(0.894596\pi\) | |||||||
\(24\) | 0.104528 | + | 0.994522i | 0.0213368 | + | 0.203006i | ||||
\(25\) | 4.85209 | + | 1.03134i | 0.970417 | + | 0.206269i | ||||
\(26\) | −2.95056 | + | 0.627161i | −0.578652 | + | 0.122996i | ||||
\(27\) | −0.809017 | − | 0.587785i | −0.155695 | − | 0.113119i | ||||
\(28\) | −2.60734 | − | 0.449223i | −0.492740 | − | 0.0848952i | ||||
\(29\) | 2.77769 | − | 8.54885i | 0.515804 | − | 1.58748i | −0.266010 | − | 0.963970i | \(-0.585705\pi\) |
0.781814 | − | 0.623512i | \(-0.214295\pi\) | |||||||
\(30\) | −0.133013 | + | 0.147725i | −0.0242847 | + | 0.0269708i | ||||
\(31\) | −0.533797 | − | 5.07874i | −0.0958728 | − | 0.912169i | −0.931713 | − | 0.363196i | \(-0.881686\pi\) |
0.835840 | − | 0.548973i | \(-0.184981\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 1.07455 | + | 3.13773i | 0.187054 | + | 0.546209i | ||||
\(34\) | −5.29627 | −0.908303 | ||||||||
\(35\) | −0.280447 | − | 0.444922i | −0.0474041 | − | 0.0752055i | ||||
\(36\) | 0.309017 | + | 0.951057i | 0.0515028 | + | 0.158509i | ||||
\(37\) | −11.3311 | + | 2.40850i | −1.86282 | + | 0.395955i | −0.994910 | − | 0.100765i | \(-0.967871\pi\) |
−0.867911 | + | 0.496720i | \(0.834538\pi\) | |||||||
\(38\) | 1.11028 | − | 0.494327i | 0.180111 | − | 0.0801905i | ||||
\(39\) | −2.75569 | + | 1.22691i | −0.441263 | + | 0.196463i | ||||
\(40\) | 0.194440 | − | 0.0413295i | 0.0307437 | − | 0.00653478i | ||||
\(41\) | −2.45021 | − | 7.54097i | −0.382658 | − | 1.17770i | −0.938165 | − | 0.346189i | \(-0.887476\pi\) |
0.555506 | − | 0.831512i | \(-0.312524\pi\) | |||||||
\(42\) | −2.64376 | + | 0.102689i | −0.407941 | + | 0.0158453i | ||||
\(43\) | 10.2293 | 1.55995 | 0.779977 | − | 0.625808i | \(-0.215231\pi\) | ||||
0.779977 | + | 0.625808i | \(0.215231\pi\) | |||||||
\(44\) | 0.974986 | − | 3.17008i | 0.146985 | − | 0.477907i | ||||
\(45\) | −0.0993921 | + | 0.172152i | −0.0148165 | + | 0.0256629i | ||||
\(46\) | 0.191773 | + | 1.82460i | 0.0282754 | + | 0.269022i | ||||
\(47\) | 8.35194 | − | 9.27577i | 1.21826 | − | 1.35301i | 0.301549 | − | 0.953451i | \(-0.402496\pi\) |
0.916707 | − | 0.399560i | \(-0.130837\pi\) | |||||||
\(48\) | 0.309017 | − | 0.951057i | 0.0446028 | − | 0.137273i | ||||
\(49\) | 1.64021 | − | 6.80512i | 0.234315 | − | 0.972161i | ||||
\(50\) | −4.01312 | − | 2.91570i | −0.567540 | − | 0.412342i | ||||
\(51\) | −5.18053 | + | 1.10116i | −0.725420 | + | 0.154193i | ||||
\(52\) | 2.95056 | + | 0.627161i | 0.409169 | + | 0.0869715i | ||||
\(53\) | 0.712498 | + | 6.77896i | 0.0978691 | + | 0.931162i | 0.927745 | + | 0.373214i | \(0.121744\pi\) |
−0.829876 | + | 0.557948i | \(0.811589\pi\) | |||||||
\(54\) | 0.500000 | + | 0.866025i | 0.0680414 | + | 0.117851i | ||||
\(55\) | 0.597987 | − | 0.277630i | 0.0806325 | − | 0.0374356i | ||||
\(56\) | 2.19920 | + | 1.47088i | 0.293881 | + | 0.196555i | ||||
\(57\) | 0.983238 | − | 0.714365i | 0.130233 | − | 0.0946199i | ||||
\(58\) | −6.01468 | + | 6.67998i | −0.789766 | + | 0.877124i | ||||
\(59\) | −1.36125 | − | 1.51183i | −0.177220 | − | 0.196823i | 0.647990 | − | 0.761649i | \(-0.275610\pi\) |
−0.825210 | + | 0.564826i | \(0.808943\pi\) | |||||||
\(60\) | 0.181598 | − | 0.0808528i | 0.0234442 | − | 0.0104381i | ||||
\(61\) | 0.937704 | − | 8.92166i | 0.120061 | − | 1.14230i | −0.754132 | − | 0.656722i | \(-0.771942\pi\) |
0.874193 | − | 0.485579i | \(-0.161391\pi\) | |||||||
\(62\) | −1.57806 | + | 4.85677i | −0.200414 | + | 0.616811i | ||||
\(63\) | −2.56464 | + | 0.650113i | −0.323114 | + | 0.0819066i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | 0.299814 | + | 0.519293i | 0.0371873 | + | 0.0644103i | ||||
\(66\) | 0.294584 | − | 3.30352i | 0.0362608 | − | 0.406635i | ||||
\(67\) | −7.93430 | + | 13.7426i | −0.969329 | + | 1.67893i | −0.271823 | + | 0.962347i | \(0.587626\pi\) |
−0.697506 | + | 0.716579i | \(0.745707\pi\) | |||||||
\(68\) | 4.83838 | + | 2.15419i | 0.586740 | + | 0.261234i | ||||
\(69\) | 0.566938 | + | 1.74486i | 0.0682513 | + | 0.210056i | ||||
\(70\) | 0.0752347 | + | 0.520524i | 0.00899227 | + | 0.0622146i | ||||
\(71\) | −3.72712 | − | 2.70791i | −0.442328 | − | 0.321370i | 0.344231 | − | 0.938885i | \(-0.388140\pi\) |
−0.786559 | + | 0.617515i | \(0.788140\pi\) | |||||||
\(72\) | 0.104528 | − | 0.994522i | 0.0123188 | − | 0.117206i | ||||
\(73\) | 3.80537 | + | 4.22629i | 0.445385 | + | 0.494650i | 0.923474 | − | 0.383661i | \(-0.125337\pi\) |
−0.478089 | + | 0.878311i | \(0.658670\pi\) | |||||||
\(74\) | 11.3311 | + | 2.40850i | 1.31721 | + | 0.279982i | ||||
\(75\) | −4.53163 | − | 2.01761i | −0.523267 | − | 0.232974i | ||||
\(76\) | −1.21535 | −0.139410 | ||||||||
\(77\) | 8.19917 | + | 3.12627i | 0.934383 | + | 0.356271i | ||||
\(78\) | 3.01648 | 0.341549 | ||||||||
\(79\) | 7.43835 | + | 3.31177i | 0.836880 | + | 0.372603i | 0.780001 | − | 0.625778i | \(-0.215218\pi\) |
0.0568789 | + | 0.998381i | \(0.481885\pi\) | |||||||
\(80\) | −0.194440 | − | 0.0413295i | −0.0217391 | − | 0.00462078i | ||||
\(81\) | 0.669131 | + | 0.743145i | 0.0743478 | + | 0.0825716i | ||||
\(82\) | −0.828811 | + | 7.88561i | −0.0915268 | + | 0.870820i | ||||
\(83\) | −11.6002 | − | 8.42802i | −1.27328 | − | 0.925095i | −0.273956 | − | 0.961742i | \(-0.588332\pi\) |
−0.999328 | + | 0.0366467i | \(0.988332\pi\) | |||||||
\(84\) | 2.45696 | + | 0.981502i | 0.268076 | + | 0.107091i | ||||
\(85\) | 0.325338 | + | 1.00129i | 0.0352878 | + | 0.108605i | ||||
\(86\) | −9.34493 | − | 4.16063i | −1.00769 | − | 0.448652i | ||||
\(87\) | −4.49440 | + | 7.78453i | −0.481850 | + | 0.834589i | ||||
\(88\) | −2.18008 | + | 2.49945i | −0.232397 | + | 0.266442i | ||||
\(89\) | 3.05212 | + | 5.28643i | 0.323524 | + | 0.560360i | 0.981213 | − | 0.192930i | \(-0.0617989\pi\) |
−0.657688 | + | 0.753290i | \(0.728466\pi\) | |||||||
\(90\) | 0.160820 | − | 0.116842i | 0.0169519 | − | 0.0123163i | ||||
\(91\) | −2.16976 | + | 7.68024i | −0.227453 | + | 0.805108i | ||||
\(92\) | 0.566938 | − | 1.74486i | 0.0591074 | − | 0.181914i | ||||
\(93\) | −0.533797 | + | 5.07874i | −0.0553522 | + | 0.526641i | ||||
\(94\) | −11.4027 | + | 5.07680i | −1.17610 | + | 0.523632i | ||||
\(95\) | −0.161657 | − | 0.179538i | −0.0165856 | − | 0.0184202i | ||||
\(96\) | −0.669131 | + | 0.743145i | −0.0682929 | + | 0.0758469i | ||||
\(97\) | 2.40493 | − | 1.74728i | 0.244184 | − | 0.177410i | −0.458962 | − | 0.888456i | \(-0.651778\pi\) |
0.703145 | + | 0.711046i | \(0.251778\pi\) | |||||||
\(98\) | −4.26630 | + | 5.54966i | −0.430961 | + | 0.560600i | ||||
\(99\) | −0.398693 | − | 3.29257i | −0.0400702 | − | 0.330916i | ||||
\(100\) | 2.48024 | + | 4.29591i | 0.248024 | + | 0.429591i | ||||
\(101\) | 1.00058 | + | 9.51991i | 0.0995617 | + | 0.947266i | 0.924278 | + | 0.381720i | \(0.124668\pi\) |
−0.824716 | + | 0.565546i | \(0.808665\pi\) | |||||||
\(102\) | 5.18053 | + | 1.10116i | 0.512949 | + | 0.109031i | ||||
\(103\) | 4.39633 | − | 0.934469i | 0.433183 | − | 0.0920760i | 0.0138412 | − | 0.999904i | \(-0.495594\pi\) |
0.419342 | + | 0.907828i | \(0.362261\pi\) | |||||||
\(104\) | −2.44038 | − | 1.77304i | −0.239299 | − | 0.173861i | ||||
\(105\) | 0.181814 | + | 0.493508i | 0.0177432 | + | 0.0481614i | ||||
\(106\) | 2.10635 | − | 6.48269i | 0.204587 | − | 0.629654i | ||||
\(107\) | −9.16212 | + | 10.1756i | −0.885735 | + | 0.983709i | −0.999952 | − | 0.00974697i | \(-0.996897\pi\) |
0.114217 | + | 0.993456i | \(0.463564\pi\) | |||||||
\(108\) | −0.104528 | − | 0.994522i | −0.0100583 | − | 0.0956979i | ||||
\(109\) | 5.32085 | − | 9.21598i | 0.509645 | − | 0.882731i | −0.490293 | − | 0.871558i | \(-0.663110\pi\) |
0.999938 | − | 0.0111731i | \(-0.00355659\pi\) | |||||||
\(110\) | −0.659210 | + | 0.0104046i | −0.0628532 | + | 0.000992044i | ||||
\(111\) | 11.5842 | 1.09953 | ||||||||
\(112\) | −1.41081 | − | 2.23822i | −0.133309 | − | 0.211492i | ||||
\(113\) | 3.72863 | + | 11.4755i | 0.350760 | + | 1.07953i | 0.958427 | + | 0.285337i | \(0.0921054\pi\) |
−0.607667 | + | 0.794192i | \(0.707895\pi\) | |||||||
\(114\) | −1.18879 | + | 0.252685i | −0.111341 | + | 0.0236662i | ||||
\(115\) | 0.333169 | − | 0.148337i | 0.0310682 | − | 0.0138325i | ||||
\(116\) | 8.21167 | − | 3.65607i | 0.762435 | − | 0.339458i | ||||
\(117\) | 2.95056 | − | 0.627161i | 0.272779 | − | 0.0579810i | ||||
\(118\) | 0.628653 | + | 1.93479i | 0.0578722 | + | 0.178112i | ||||
\(119\) | −6.53002 | + | 12.3981i | −0.598606 | + | 1.13653i | ||||
\(120\) | −0.198784 | −0.0181464 | ||||||||
\(121\) | −5.19662 | + | 9.69511i | −0.472420 | + | 0.881374i | ||||
\(122\) | −4.48540 | + | 7.76894i | −0.406089 | + | 0.703367i | ||||
\(123\) | 0.828811 | + | 7.88561i | 0.0747313 | + | 0.711021i | ||||
\(124\) | 3.41706 | − | 3.79503i | 0.306861 | − | 0.340804i | ||||
\(125\) | −0.611849 | + | 1.88308i | −0.0547255 | + | 0.168428i | ||||
\(126\) | 2.60734 | + | 0.449223i | 0.232280 | + | 0.0400200i | ||||
\(127\) | −2.08407 | − | 1.51416i | −0.184931 | − | 0.134360i | 0.491468 | − | 0.870896i | \(-0.336460\pi\) |
−0.676399 | + | 0.736535i | \(0.736460\pi\) | |||||||
\(128\) | 0.978148 | − | 0.207912i | 0.0864569 | − | 0.0183770i | ||||
\(129\) | −10.0058 | − | 2.12679i | −0.880959 | − | 0.187254i | ||||
\(130\) | −0.0626781 | − | 0.596343i | −0.00549724 | − | 0.0523027i | ||||
\(131\) | 7.65259 | + | 13.2547i | 0.668610 | + | 1.15807i | 0.978293 | + | 0.207227i | \(0.0664437\pi\) |
−0.309683 | + | 0.950840i | \(0.600223\pi\) | |||||||
\(132\) | −1.61278 | + | 2.89809i | −0.140374 | + | 0.252247i | ||||
\(133\) | 0.211740 | − | 3.20853i | 0.0183602 | − | 0.278215i | ||||
\(134\) | 12.8380 | − | 9.32733i | 1.10903 | − | 0.805758i | ||||
\(135\) | 0.133013 | − | 0.147725i | 0.0114479 | − | 0.0127142i | ||||
\(136\) | −3.54390 | − | 3.93590i | −0.303887 | − | 0.337500i | ||||
\(137\) | 0.0982329 | − | 0.0437361i | 0.00839260 | − | 0.00373663i | −0.402536 | − | 0.915404i | \(-0.631871\pi\) |
0.410929 | + | 0.911668i | \(0.365205\pi\) | |||||||
\(138\) | 0.191773 | − | 1.82460i | 0.0163248 | − | 0.155320i | ||||
\(139\) | 5.76941 | − | 17.7564i | 0.489355 | − | 1.50608i | −0.336218 | − | 0.941784i | \(-0.609148\pi\) |
0.825573 | − | 0.564296i | \(-0.190852\pi\) | |||||||
\(140\) | 0.142986 | − | 0.506123i | 0.0120845 | − | 0.0427752i | ||||
\(141\) | −10.0980 | + | 7.33661i | −0.850403 | + | 0.617854i | ||||
\(142\) | 2.30349 | + | 3.98976i | 0.193305 | + | 0.334813i | ||||
\(143\) | −9.20266 | − | 3.92446i | −0.769565 | − | 0.328180i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | 1.63235 | + | 0.726769i | 0.135559 | + | 0.0603549i | ||||
\(146\) | −1.75739 | − | 5.40869i | −0.145443 | − | 0.447627i | ||||
\(147\) | −3.01923 | + | 6.31540i | −0.249022 | + | 0.520885i | ||||
\(148\) | −9.37185 | − | 6.80905i | −0.770361 | − | 0.559700i | ||||
\(149\) | 2.10494 | − | 20.0271i | 0.172443 | − | 1.64069i | −0.476016 | − | 0.879437i | \(-0.657919\pi\) |
0.648459 | − | 0.761250i | \(-0.275414\pi\) | |||||||
\(150\) | 3.31921 | + | 3.68636i | 0.271013 | + | 0.300990i | ||||
\(151\) | 1.81706 | + | 0.386228i | 0.147870 | + | 0.0314308i | 0.281252 | − | 0.959634i | \(-0.409250\pi\) |
−0.133382 | + | 0.991065i | \(0.542584\pi\) | |||||||
\(152\) | 1.11028 | + | 0.494327i | 0.0900554 | + | 0.0400952i | ||||
\(153\) | 5.29627 | 0.428178 | ||||||||
\(154\) | −6.21875 | − | 6.19089i | −0.501121 | − | 0.498876i | ||||
\(155\) | 1.01513 | 0.0815375 | ||||||||
\(156\) | −2.75569 | − | 1.22691i | −0.220632 | − | 0.0982315i | ||||
\(157\) | 11.0346 | + | 2.34547i | 0.880656 | + | 0.187189i | 0.625982 | − | 0.779838i | \(-0.284698\pi\) |
0.254674 | + | 0.967027i | \(0.418032\pi\) | |||||||
\(158\) | −5.44826 | − | 6.05090i | −0.433440 | − | 0.481384i | ||||
\(159\) | 0.712498 | − | 6.77896i | 0.0565047 | − | 0.537607i | ||||
\(160\) | 0.160820 | + | 0.116842i | 0.0127139 | + | 0.00923720i | ||||
\(161\) | 4.50766 | + | 1.80071i | 0.355253 | + | 0.141916i | ||||
\(162\) | −0.309017 | − | 0.951057i | −0.0242787 | − | 0.0747221i | ||||
\(163\) | −3.80116 | − | 1.69239i | −0.297730 | − | 0.132558i | 0.252435 | − | 0.967614i | \(-0.418769\pi\) |
−0.550165 | + | 0.835056i | \(0.685435\pi\) | |||||||
\(164\) | 3.96452 | − | 6.86675i | 0.309577 | − | 0.536203i | ||||
\(165\) | −0.642642 | + | 0.147235i | −0.0500296 | + | 0.0114622i | ||||
\(166\) | 7.16930 | + | 12.4176i | 0.556446 | + | 0.963792i | ||||
\(167\) | −0.0624349 | + | 0.0453616i | −0.00483136 | + | 0.00351019i | −0.590198 | − | 0.807258i | \(-0.700950\pi\) |
0.585367 | + | 0.810768i | \(0.300950\pi\) | |||||||
\(168\) | −1.84533 | − | 1.89598i | −0.142370 | − | 0.146278i | ||||
\(169\) | −1.20544 | + | 3.70995i | −0.0927259 | + | 0.285381i | ||||
\(170\) | 0.110049 | − | 1.04705i | 0.00844038 | − | 0.0803049i | ||||
\(171\) | −1.11028 | + | 0.494327i | −0.0849050 | + | 0.0378021i | ||||
\(172\) | 6.84474 | + | 7.60185i | 0.521906 | + | 0.579636i | ||||
\(173\) | 2.55232 | − | 2.83464i | 0.194049 | − | 0.215514i | −0.638266 | − | 0.769816i | \(-0.720348\pi\) |
0.832316 | + | 0.554302i | \(0.187015\pi\) | |||||||
\(174\) | 7.27209 | − | 5.28348i | 0.551296 | − | 0.400540i | ||||
\(175\) | −11.7733 | + | 5.79942i | −0.889981 | + | 0.438395i | ||||
\(176\) | 3.00822 | − | 1.39664i | 0.226753 | − | 0.105276i | ||||
\(177\) | 1.01718 | + | 1.76181i | 0.0764560 | + | 0.132426i | ||||
\(178\) | −0.638067 | − | 6.07080i | −0.0478252 | − | 0.455026i | ||||
\(179\) | −3.64272 | − | 0.774283i | −0.272269 | − | 0.0578726i | 0.0697535 | − | 0.997564i | \(-0.477779\pi\) |
−0.342023 | + | 0.939692i | \(0.611112\pi\) | |||||||
\(180\) | −0.194440 | + | 0.0413295i | −0.0144927 | + | 0.00308052i | ||||
\(181\) | −11.4390 | − | 8.31089i | −0.850251 | − | 0.617743i | 0.0749645 | − | 0.997186i | \(-0.476116\pi\) |
−0.925215 | + | 0.379443i | \(0.876116\pi\) | |||||||
\(182\) | 5.10601 | − | 6.13372i | 0.378483 | − | 0.454662i | ||||
\(183\) | −2.77213 | + | 8.53174i | −0.204922 | + | 0.630684i | ||||
\(184\) | −1.22762 | + | 1.36341i | −0.0905013 | + | 0.100512i | ||||
\(185\) | −0.240704 | − | 2.29015i | −0.0176969 | − | 0.168375i | ||||
\(186\) | 2.55336 | − | 4.42254i | 0.187221 | − | 0.324277i | ||||
\(187\) | −14.3722 | − | 10.0993i | −1.05100 | − | 0.738536i | ||||
\(188\) | 12.4818 | 0.910328 | ||||||||
\(189\) | 2.64376 | − | 0.102689i | 0.192305 | − | 0.00746953i | ||||
\(190\) | 0.0746561 | + | 0.229768i | 0.00541612 | + | 0.0166691i | ||||
\(191\) | −18.8290 | + | 4.00222i | −1.36242 | + | 0.289591i | −0.830411 | − | 0.557151i | \(-0.811895\pi\) |
−0.532005 | + | 0.846741i | \(0.678561\pi\) | |||||||
\(192\) | 0.913545 | − | 0.406737i | 0.0659295 | − | 0.0293537i | ||||
\(193\) | −5.85469 | + | 2.60668i | −0.421430 | + | 0.187633i | −0.606484 | − | 0.795096i | \(-0.707421\pi\) |
0.185054 | + | 0.982728i | \(0.440754\pi\) | |||||||
\(194\) | −2.90770 | + | 0.618050i | −0.208760 | + | 0.0443734i | ||||
\(195\) | −0.185295 | − | 0.570280i | −0.0132693 | − | 0.0408386i | ||||
\(196\) | 6.15471 | − | 3.33461i | 0.439622 | − | 0.238186i | ||||
\(197\) | −6.03278 | −0.429818 | −0.214909 | − | 0.976634i | \(-0.568945\pi\) | ||||
−0.214909 | + | 0.976634i | \(0.568945\pi\) | |||||||
\(198\) | −0.974986 | + | 3.17008i | −0.0692892 | + | 0.225288i | ||||
\(199\) | 5.88026 | − | 10.1849i | 0.416841 | − | 0.721989i | −0.578779 | − | 0.815484i | \(-0.696471\pi\) |
0.995620 | + | 0.0934952i | \(0.0298040\pi\) | |||||||
\(200\) | −0.518512 | − | 4.93331i | −0.0366643 | − | 0.348838i | ||||
\(201\) | 10.6182 | − | 11.7927i | 0.748947 | − | 0.831790i | ||||
\(202\) | 2.95802 | − | 9.10384i | 0.208125 | − | 0.640544i | ||||
\(203\) | 8.22141 | + | 22.3159i | 0.577030 | + | 1.56627i | ||||
\(204\) | −4.28477 | − | 3.11307i | −0.299994 | − | 0.217958i | ||||
\(205\) | 1.54173 | − | 0.327704i | 0.107679 | − | 0.0228878i | ||||
\(206\) | −4.39633 | − | 0.934469i | −0.306307 | − | 0.0651076i | ||||
\(207\) | −0.191773 | − | 1.82460i | −0.0133292 | − | 0.126818i | ||||
\(208\) | 1.50824 | + | 2.61234i | 0.104577 | + | 0.181134i | ||||
\(209\) | 3.95551 | + | 0.775735i | 0.273608 | + | 0.0536587i | ||||
\(210\) | 0.0346325 | − | 0.524792i | 0.00238987 | − | 0.0362141i | ||||
\(211\) | 3.66754 | − | 2.66462i | 0.252484 | − | 0.183440i | −0.454343 | − | 0.890827i | \(-0.650126\pi\) |
0.706827 | + | 0.707387i | \(0.250126\pi\) | |||||||
\(212\) | −4.56100 | + | 5.06550i | −0.313251 | + | 0.347900i | ||||
\(213\) | 3.08267 | + | 3.42365i | 0.211221 | + | 0.234585i | ||||
\(214\) | 12.5088 | − | 5.56927i | 0.855083 | − | 0.380707i | ||||
\(215\) | −0.212551 | + | 2.02228i | −0.0144958 | + | 0.137919i | ||||
\(216\) | −0.309017 | + | 0.951057i | −0.0210259 | + | 0.0647112i | ||||
\(217\) | 9.42358 | + | 9.68224i | 0.639715 | + | 0.657273i | ||||
\(218\) | −8.60932 | + | 6.25503i | −0.583096 | + | 0.423644i | ||||
\(219\) | −2.84352 | − | 4.92512i | −0.192147 | − | 0.332809i | ||||
\(220\) | 0.606451 | + | 0.258620i | 0.0408869 | + | 0.0174361i | ||||
\(221\) | 7.98804 | − | 13.8357i | 0.537334 | − | 0.930689i | ||||
\(222\) | −10.5827 | − | 4.71174i | −0.710266 | − | 0.316231i | ||||
\(223\) | 1.13650 | + | 3.49777i | 0.0761054 | + | 0.234228i | 0.981871 | − | 0.189551i | \(-0.0607032\pi\) |
−0.905766 | + | 0.423779i | \(0.860703\pi\) | |||||||
\(224\) | 0.378474 | + | 2.61854i | 0.0252879 | + | 0.174959i | ||||
\(225\) | 4.01312 | + | 2.91570i | 0.267541 | + | 0.194380i | ||||
\(226\) | 1.26125 | − | 12.0000i | 0.0838972 | − | 0.798228i | ||||
\(227\) | −5.35423 | − | 5.94648i | −0.355373 | − | 0.394682i | 0.538778 | − | 0.842448i | \(-0.318886\pi\) |
−0.894151 | + | 0.447766i | \(0.852220\pi\) | |||||||
\(228\) | 1.18879 | + | 0.252685i | 0.0787296 | + | 0.0167345i | ||||
\(229\) | −15.2411 | − | 6.78580i | −1.00716 | − | 0.448418i | −0.164222 | − | 0.986423i | \(-0.552511\pi\) |
−0.842941 | + | 0.538005i | \(0.819178\pi\) | |||||||
\(230\) | −0.364699 | −0.0240476 | ||||||||
\(231\) | −7.37001 | − | 4.76266i | −0.484911 | − | 0.313360i | ||||
\(232\) | −8.98880 | −0.590143 | ||||||||
\(233\) | −6.98064 | − | 3.10798i | −0.457317 | − | 0.203611i | 0.165131 | − | 0.986272i | \(-0.447195\pi\) |
−0.622448 | + | 0.782661i | \(0.713862\pi\) | |||||||
\(234\) | −2.95056 | − | 0.627161i | −0.192884 | − | 0.0409988i | ||||
\(235\) | 1.66023 | + | 1.84388i | 0.108302 | + | 0.120281i | ||||
\(236\) | 0.212649 | − | 2.02322i | 0.0138423 | − | 0.131700i | ||||
\(237\) | −6.58725 | − | 4.78592i | −0.427888 | − | 0.310879i | ||||
\(238\) | 11.0082 | − | 8.67020i | 0.713557 | − | 0.562006i | ||||
\(239\) | −1.36952 | − | 4.21495i | −0.0885869 | − | 0.272643i | 0.896942 | − | 0.442147i | \(-0.145783\pi\) |
−0.985529 | + | 0.169505i | \(0.945783\pi\) | |||||||
\(240\) | 0.181598 | + | 0.0808528i | 0.0117221 | + | 0.00521903i | ||||
\(241\) | 3.70370 | − | 6.41499i | 0.238576 | − | 0.413226i | −0.721730 | − | 0.692175i | \(-0.756653\pi\) |
0.960306 | + | 0.278949i | \(0.0899860\pi\) | |||||||
\(242\) | 8.69070 | − | 6.74327i | 0.558660 | − | 0.433474i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | 7.25753 | − | 5.27290i | 0.464616 | − | 0.337563i | ||||
\(245\) | 1.31126 | + | 0.465662i | 0.0837733 | + | 0.0297501i | ||||
\(246\) | 2.45021 | − | 7.54097i | 0.156220 | − | 0.480795i | ||||
\(247\) | −0.383209 | + | 3.64599i | −0.0243830 | + | 0.231989i | ||||
\(248\) | −4.66522 | + | 2.07709i | −0.296242 | + | 0.131895i | ||||
\(249\) | 9.59440 | + | 10.6557i | 0.608020 | + | 0.675275i | ||||
\(250\) | 1.32487 | − | 1.47142i | 0.0837921 | − | 0.0930606i | ||||
\(251\) | −13.5473 | + | 9.84267i | −0.855096 | + | 0.621264i | −0.926546 | − | 0.376180i | \(-0.877237\pi\) |
0.0714503 | + | 0.997444i | \(0.477237\pi\) | |||||||
\(252\) | −2.19920 | − | 1.47088i | −0.138537 | − | 0.0926570i | ||||
\(253\) | −2.95888 | + | 5.31699i | −0.186023 | + | 0.334276i | ||||
\(254\) | 1.28802 | + | 2.23092i | 0.0808178 | + | 0.139981i | ||||
\(255\) | −0.110049 | − | 1.04705i | −0.00689154 | − | 0.0655686i | ||||
\(256\) | −0.978148 | − | 0.207912i | −0.0611342 | − | 0.0129945i | ||||
\(257\) | 3.98346 | − | 0.846711i | 0.248481 | − | 0.0528164i | −0.0819870 | − | 0.996633i | \(-0.526127\pi\) |
0.330468 | + | 0.943817i | \(0.392793\pi\) | |||||||
\(258\) | 8.27568 | + | 6.01263i | 0.515221 | + | 0.374330i | ||||
\(259\) | 19.6087 | − | 23.5555i | 1.21843 | − | 1.46367i | ||||
\(260\) | −0.185295 | + | 0.570280i | −0.0114915 | + | 0.0353672i | ||||
\(261\) | 6.01468 | − | 6.67998i | 0.372299 | − | 0.413480i | ||||
\(262\) | −1.59983 | − | 15.2213i | −0.0988377 | − | 0.940377i | ||||
\(263\) | 3.91003 | − | 6.77237i | 0.241103 | − | 0.417602i | −0.719926 | − | 0.694051i | \(-0.755824\pi\) |
0.961029 | + | 0.276449i | \(0.0891576\pi\) | |||||||
\(264\) | 2.65211 | − | 1.99157i | 0.163226 | − | 0.122572i | ||||
\(265\) | −1.35497 | −0.0832353 | ||||||||
\(266\) | −1.49846 | + | 2.84502i | −0.0918766 | + | 0.174439i | ||||
\(267\) | −1.88632 | − | 5.80548i | −0.115441 | − | 0.355290i | ||||
\(268\) | −15.5218 | + | 3.29927i | −0.948146 | + | 0.201535i | ||||
\(269\) | −6.55597 | + | 2.91891i | −0.399725 | + | 0.177969i | −0.596746 | − | 0.802430i | \(-0.703540\pi\) |
0.197021 | + | 0.980399i | \(0.436873\pi\) | |||||||
\(270\) | −0.181598 | + | 0.0808528i | −0.0110517 | + | 0.00492054i | ||||
\(271\) | 23.3986 | − | 4.97352i | 1.42136 | − | 0.302120i | 0.567824 | − | 0.823150i | \(-0.307786\pi\) |
0.853538 | + | 0.521031i | \(0.174452\pi\) | |||||||
\(272\) | 1.63664 | + | 5.03705i | 0.0992357 | + | 0.305416i | ||||
\(273\) | 3.71916 | − | 7.06129i | 0.225094 | − | 0.427368i | ||||
\(274\) | −0.107529 | −0.00649608 | ||||||||
\(275\) | −5.33027 | − | 15.5647i | −0.321427 | − | 0.938585i | ||||
\(276\) | −0.917325 | + | 1.58885i | −0.0552165 | + | 0.0956377i | ||||
\(277\) | −0.677223 | − | 6.44335i | −0.0406904 | − | 0.387143i | −0.995847 | − | 0.0910423i | \(-0.970980\pi\) |
0.955157 | − | 0.296101i | \(-0.0956865\pi\) | |||||||
\(278\) | −12.4928 | + | 13.8747i | −0.749269 | + | 0.832147i | ||||
\(279\) | 1.57806 | − | 4.85677i | 0.0944761 | − | 0.290767i | ||||
\(280\) | −0.336483 | + | 0.404209i | −0.0201087 | + | 0.0241561i | ||||
\(281\) | 10.8720 | + | 7.89900i | 0.648572 | + | 0.471215i | 0.862784 | − | 0.505572i | \(-0.168719\pi\) |
−0.214213 | + | 0.976787i | \(0.568719\pi\) | |||||||
\(282\) | 12.2090 | − | 2.59511i | 0.727037 | − | 0.154536i | ||||
\(283\) | −10.5106 | − | 2.23410i | −0.624790 | − | 0.132803i | −0.115372 | − | 0.993322i | \(-0.536806\pi\) |
−0.509418 | + | 0.860519i | \(0.670139\pi\) | |||||||
\(284\) | −0.481561 | − | 4.58174i | −0.0285754 | − | 0.271876i | ||||
\(285\) | 0.120796 | + | 0.209225i | 0.00715534 | + | 0.0123934i | ||||
\(286\) | 6.81083 | + | 7.32823i | 0.402733 | + | 0.433328i | ||||
\(287\) | 17.4376 | + | 11.6627i | 1.02931 | + | 0.688428i | ||||
\(288\) | 0.809017 | − | 0.587785i | 0.0476718 | − | 0.0346356i | ||||
\(289\) | 7.39422 | − | 8.21211i | 0.434954 | − | 0.483065i | ||||
\(290\) | −1.19562 | − | 1.32787i | −0.0702094 | − | 0.0779754i | ||||
\(291\) | −2.71566 | + | 1.20909i | −0.159195 | + | 0.0708780i | ||||
\(292\) | −0.594457 | + | 5.65588i | −0.0347880 | + | 0.330985i | ||||
\(293\) | −5.84780 | + | 17.9977i | −0.341632 | + | 1.05144i | 0.621730 | + | 0.783231i | \(0.286430\pi\) |
−0.963362 | + | 0.268204i | \(0.913570\pi\) | |||||||
\(294\) | 5.32691 | − | 4.54137i | 0.310672 | − | 0.264858i | ||||
\(295\) | 0.327166 | − | 0.237700i | 0.0190483 | − | 0.0138394i | ||||
\(296\) | 5.79212 | + | 10.0322i | 0.336660 | + | 0.583113i | ||||
\(297\) | −0.294584 | + | 3.30352i | −0.0170935 | + | 0.191689i | ||||
\(298\) | −10.0687 | + | 17.4395i | −0.583266 | + | 1.01025i | ||||
\(299\) | −5.05572 | − | 2.25095i | −0.292380 | − | 0.130176i | ||||
\(300\) | −1.53287 | − | 4.71770i | −0.0885005 | − | 0.272377i | ||||
\(301\) | −21.2615 | + | 16.7458i | −1.22549 | + | 0.965210i | ||||
\(302\) | −1.50287 | − | 1.09190i | −0.0864806 | − | 0.0628318i | ||||
\(303\) | 1.00058 | − | 9.51991i | 0.0574820 | − | 0.546904i | ||||
\(304\) | −0.813228 | − | 0.903181i | −0.0466418 | − | 0.0518010i | ||||
\(305\) | 1.74428 | + | 0.370759i | 0.0998774 | + | 0.0212296i | ||||
\(306\) | −4.83838 | − | 2.15419i | −0.276592 | − | 0.123147i | ||||
\(307\) | 29.8221 | 1.70204 | 0.851020 | − | 0.525134i | \(-0.175985\pi\) | ||||
0.851020 | + | 0.525134i | \(0.175985\pi\) | |||||||
\(308\) | 3.16305 | + | 8.18506i | 0.180231 | + | 0.466387i | ||||
\(309\) | −4.49455 | −0.255686 | ||||||||
\(310\) | −0.927371 | − | 0.412892i | −0.0526711 | − | 0.0234507i | ||||
\(311\) | −14.6680 | − | 3.11778i | −0.831747 | − | 0.176793i | −0.227689 | − | 0.973734i | \(-0.573117\pi\) |
−0.604058 | + | 0.796941i | \(0.706450\pi\) | |||||||
\(312\) | 2.01842 | + | 2.24168i | 0.114270 | + | 0.126910i | ||||
\(313\) | 0.728586 | − | 6.93203i | 0.0411821 | − | 0.391822i | −0.954444 | − | 0.298391i | \(-0.903550\pi\) |
0.995626 | − | 0.0934305i | \(-0.0297833\pi\) | |||||||
\(314\) | −9.12660 | − | 6.63087i | −0.515044 | − | 0.374201i | ||||
\(315\) | −0.0752347 | − | 0.520524i | −0.00423900 | − | 0.0293282i | ||||
\(316\) | 2.51611 | + | 7.74378i | 0.141542 | + | 0.435622i | ||||
\(317\) | 10.0736 | + | 4.48504i | 0.565788 | + | 0.251905i | 0.669638 | − | 0.742688i | \(-0.266449\pi\) |
−0.103850 | + | 0.994593i | \(0.533116\pi\) | |||||||
\(318\) | −3.40815 | + | 5.90309i | −0.191120 | + | 0.331029i | ||||
\(319\) | −29.0595 | + | 6.65779i | −1.62702 | + | 0.372765i | ||||
\(320\) | −0.0993921 | − | 0.172152i | −0.00555619 | − | 0.00962360i | ||||
\(321\) | 11.0775 | − | 8.04829i | 0.618287 | − | 0.449212i | ||||
\(322\) | −3.38554 | − | 3.47846i | −0.188669 | − | 0.193847i | ||||
\(323\) | −1.98909 | + | 6.12178i | −0.110676 | + | 0.340625i | ||||
\(324\) | −0.104528 | + | 0.994522i | −0.00580714 | + | 0.0552512i | ||||
\(325\) | 13.6695 | − | 6.08607i | 0.758250 | − | 0.337595i | ||||
\(326\) | 2.78418 | + | 3.09214i | 0.154201 | + | 0.171258i | ||||
\(327\) | −7.12069 | + | 7.90832i | −0.393775 | + | 0.437331i | ||||
\(328\) | −6.41473 | + | 4.66057i | −0.354194 | + | 0.257337i | ||||
\(329\) | −2.17459 | + | 32.9520i | −0.119889 | + | 1.81670i | ||||
\(330\) | 0.646968 | + | 0.126880i | 0.0356144 | + | 0.00698453i | ||||
\(331\) | 1.80744 | + | 3.13058i | 0.0993459 | + | 0.172072i | 0.911414 | − | 0.411490i | \(-0.134992\pi\) |
−0.812068 | + | 0.583563i | \(0.801658\pi\) | |||||||
\(332\) | −1.49879 | − | 14.2601i | −0.0822569 | − | 0.782622i | ||||
\(333\) | −11.3311 | − | 2.40850i | −0.620940 | − | 0.131985i | ||||
\(334\) | 0.0754873 | − | 0.0160453i | 0.00413048 | − | 0.000877961i | ||||
\(335\) | −2.55198 | − | 1.85412i | −0.139430 | − | 0.101302i | ||||
\(336\) | 0.914629 | + | 2.48263i | 0.0498971 | + | 0.135439i | ||||
\(337\) | 4.70391 | − | 14.4772i | 0.256239 | − | 0.788621i | −0.737345 | − | 0.675517i | \(-0.763921\pi\) |
0.993583 | − | 0.113104i | \(-0.0360794\pi\) | |||||||
\(338\) | 2.61019 | − | 2.89891i | 0.141976 | − | 0.157680i | ||||
\(339\) | −1.26125 | − | 12.0000i | −0.0685018 | − | 0.651751i | ||||
\(340\) | −0.526407 | + | 0.911764i | −0.0285484 | + | 0.0494474i | ||||
\(341\) | −13.5435 | + | 10.1704i | −0.733424 | + | 0.550756i | ||||
\(342\) | 1.21535 | 0.0657186 | ||||||||
\(343\) | 7.73111 | + | 16.8294i | 0.417441 | + | 0.908704i | ||||
\(344\) | −3.16103 | − | 9.72864i | −0.170431 | − | 0.524533i | ||||
\(345\) | −0.356730 | + | 0.0758252i | −0.0192057 | + | 0.00408229i | ||||
\(346\) | −3.48461 | + | 1.55145i | −0.187334 | + | 0.0834064i | ||||
\(347\) | 2.26637 | − | 1.00905i | 0.121665 | − | 0.0541687i | −0.345001 | − | 0.938602i | \(-0.612122\pi\) |
0.466666 | + | 0.884433i | \(0.345455\pi\) | |||||||
\(348\) | −8.79237 | + | 1.86888i | −0.471320 | + | 0.100182i | ||||
\(349\) | −4.67412 | − | 14.3855i | −0.250200 | − | 0.770036i | −0.994738 | − | 0.102456i | \(-0.967330\pi\) |
0.744538 | − | 0.667581i | \(-0.232670\pi\) | |||||||
\(350\) | 13.1143 | − | 0.509387i | 0.700990 | − | 0.0272279i | ||||
\(351\) | −3.01648 | −0.161008 | ||||||||
\(352\) | −3.31621 | + | 0.0523414i | −0.176755 | + | 0.00278981i | ||||
\(353\) | 4.53782 | − | 7.85974i | 0.241524 | − | 0.418332i | −0.719625 | − | 0.694363i | \(-0.755686\pi\) |
0.961149 | + | 0.276032i | \(0.0890194\pi\) | |||||||
\(354\) | −0.212649 | − | 2.02322i | −0.0113022 | − | 0.107533i | ||||
\(355\) | 0.612786 | − | 0.680568i | 0.0325233 | − | 0.0361208i | ||||
\(356\) | −1.88632 | + | 5.80548i | −0.0999745 | + | 0.307690i | ||||
\(357\) | 8.96503 | − | 10.7695i | 0.474480 | − | 0.569981i | ||||
\(358\) | 3.01286 | + | 2.18897i | 0.159234 | + | 0.115691i | ||||
\(359\) | −11.7010 | + | 2.48711i | −0.617553 | + | 0.131265i | −0.506057 | − | 0.862500i | \(-0.668897\pi\) |
−0.111496 | + | 0.993765i | \(0.535564\pi\) | |||||||
\(360\) | 0.194440 | + | 0.0413295i | 0.0102479 | + | 0.00217826i | ||||
\(361\) | 1.83164 | + | 17.4269i | 0.0964023 | + | 0.917207i | ||||
\(362\) | 7.06966 | + | 12.2450i | 0.371573 | + | 0.643584i | ||||
\(363\) | 7.09879 | − | 8.40281i | 0.372590 | − | 0.441033i | ||||
\(364\) | −7.15938 | + | 3.52663i | −0.375254 | + | 0.184846i | ||||
\(365\) | −0.914588 | + | 0.664487i | −0.0478717 | + | 0.0347808i | ||||
\(366\) | 6.00264 | − | 6.66660i | 0.313763 | − | 0.348469i | ||||
\(367\) | 9.26633 | + | 10.2913i | 0.483699 | + | 0.537202i | 0.934755 | − | 0.355294i | \(-0.115619\pi\) |
−0.451056 | + | 0.892496i | \(0.648953\pi\) | |||||||
\(368\) | 1.67604 | − | 0.746219i | 0.0873694 | − | 0.0388994i | ||||
\(369\) | 0.828811 | − | 7.88561i | 0.0431462 | − | 0.410508i | ||||
\(370\) | −0.711593 | + | 2.19006i | −0.0369940 | + | 0.113856i | ||||
\(371\) | −12.5783 | − | 12.9236i | −0.653035 | − | 0.670959i | ||||
\(372\) | −4.13142 | + | 3.00165i | −0.214204 | + | 0.155628i | ||||
\(373\) | 11.4181 | + | 19.7767i | 0.591204 | + | 1.02400i | 0.994071 | + | 0.108737i | \(0.0346807\pi\) |
−0.402866 | + | 0.915259i | \(0.631986\pi\) | |||||||
\(374\) | 9.02185 | + | 15.0719i | 0.466509 | + | 0.779348i | ||||
\(375\) | 0.989993 | − | 1.71472i | 0.0511230 | − | 0.0885477i | ||||
\(376\) | −11.4027 | − | 5.07680i | −0.588048 | − | 0.261816i | ||||
\(377\) | −8.37884 | − | 25.7874i | −0.431532 | − | 1.32812i | ||||
\(378\) | −2.45696 | − | 0.981502i | −0.126372 | − | 0.0504830i | ||||
\(379\) | −10.5515 | − | 7.66615i | −0.541996 | − | 0.393783i | 0.282829 | − | 0.959170i | \(-0.408727\pi\) |
−0.824826 | + | 0.565387i | \(0.808727\pi\) | |||||||
\(380\) | 0.0252533 | − | 0.240269i | 0.00129547 | − | 0.0123255i | ||||
\(381\) | 1.72371 | + | 1.91438i | 0.0883084 | + | 0.0980765i | ||||
\(382\) | 18.8290 | + | 4.00222i | 0.963374 | + | 0.204771i | ||||
\(383\) | 12.6789 | + | 5.64500i | 0.647860 | + | 0.288446i | 0.704238 | − | 0.709963i | \(-0.251289\pi\) |
−0.0563782 | + | 0.998409i | \(0.517955\pi\) | |||||||
\(384\) | −1.00000 | −0.0510310 | ||||||||
\(385\) | −0.788415 | + | 1.55598i | −0.0401814 | + | 0.0793000i | ||||
\(386\) | 6.40876 | 0.326197 | ||||||||
\(387\) | 9.34493 | + | 4.16063i | 0.475030 | + | 0.211497i | ||||
\(388\) | 2.90770 | + | 0.618050i | 0.147616 | + | 0.0313767i | ||||
\(389\) | −9.71598 | − | 10.7907i | −0.492620 | − | 0.547110i | 0.444655 | − | 0.895702i | \(-0.353326\pi\) |
−0.937274 | + | 0.348592i | \(0.886660\pi\) | |||||||
\(390\) | −0.0626781 | + | 0.596343i | −0.00317383 | + | 0.0301970i | ||||
\(391\) | −7.86106 | − | 5.71139i | −0.397551 | − | 0.288837i | ||||
\(392\) | −6.97891 | + | 0.542970i | −0.352488 | + | 0.0274241i | ||||
\(393\) | −4.72956 | − | 14.5561i | −0.238575 | − | 0.734258i | ||||
\(394\) | 5.51122 | + | 2.45375i | 0.277651 | + | 0.123618i | ||||
\(395\) | −0.809279 | + | 1.40171i | −0.0407193 | + | 0.0705278i | ||||
\(396\) | 2.18008 | − | 2.49945i | 0.109553 | − | 0.125602i | ||||
\(397\) | −16.7364 | − | 28.9882i | −0.839974 | − | 1.45488i | −0.889915 | − | 0.456126i | \(-0.849237\pi\) |
0.0499407 | − | 0.998752i | \(-0.484097\pi\) | |||||||
\(398\) | −9.51446 | + | 6.91266i | −0.476917 | + | 0.346500i | ||||
\(399\) | −0.874205 | + | 3.09440i | −0.0437650 | + | 0.154914i | ||||
\(400\) | −1.53287 | + | 4.71770i | −0.0766437 | + | 0.235885i | ||||
\(401\) | −3.94313 | + | 37.5164i | −0.196911 | + | 1.87348i | 0.235600 | + | 0.971850i | \(0.424294\pi\) |
−0.432511 | + | 0.901629i | \(0.642372\pi\) | |||||||
\(402\) | −14.4967 | + | 6.45434i | −0.723029 | + | 0.321913i | ||||
\(403\) | −10.3075 | − | 11.4476i | −0.513452 | − | 0.570246i | ||||
\(404\) | −6.40515 | + | 7.11364i | −0.318668 | + | 0.353917i | ||||
\(405\) | −0.160820 | + | 0.116842i | −0.00799120 | + | 0.00580594i | ||||
\(406\) | 1.56604 | − | 23.7305i | 0.0777213 | − | 1.17773i | ||||
\(407\) | 26.1558 | + | 28.1428i | 1.29649 | + | 1.39499i | ||||
\(408\) | 2.64814 | + | 4.58671i | 0.131102 | + | 0.227076i | ||||
\(409\) | 3.84562 | + | 36.5886i | 0.190154 | + | 1.80919i | 0.508332 | + | 0.861161i | \(0.330262\pi\) |
−0.318178 | + | 0.948031i | \(0.603071\pi\) | |||||||
\(410\) | −1.54173 | − | 0.327704i | −0.0761404 | − | 0.0161841i | ||||
\(411\) | −0.105180 | + | 0.0223566i | −0.00518812 | + | 0.00110277i | ||||
\(412\) | 3.63617 | + | 2.64183i | 0.179141 | + | 0.130154i | ||||
\(413\) | 5.30427 | + | 0.913883i | 0.261006 | + | 0.0449692i | ||||
\(414\) | −0.566938 | + | 1.74486i | −0.0278635 | + | 0.0857550i | ||||
\(415\) | 1.90721 | − | 2.11818i | 0.0936215 | − | 0.103977i | ||||
\(416\) | −0.315308 | − | 2.99995i | −0.0154592 | − | 0.147085i | ||||
\(417\) | −9.33510 | + | 16.1689i | −0.457142 | + | 0.791793i | ||||
\(418\) | −3.29802 | − | 2.31752i | −0.161311 | − | 0.113354i | ||||
\(419\) | −3.14325 | −0.153558 | −0.0767790 | − | 0.997048i | \(-0.524464\pi\) | ||||
−0.0767790 | + | 0.997048i | \(0.524464\pi\) | |||||||
\(420\) | −0.245090 | + | 0.465335i | −0.0119592 | + | 0.0227060i | ||||
\(421\) | 10.1649 | + | 31.2844i | 0.495408 | + | 1.52471i | 0.816319 | + | 0.577601i | \(0.196011\pi\) |
−0.320911 | + | 0.947109i | \(0.603989\pi\) | |||||||
\(422\) | −4.43426 | + | 0.942531i | −0.215856 | + | 0.0458817i | ||||
\(423\) | 11.4027 | − | 5.07680i | 0.554417 | − | 0.246842i | ||||
\(424\) | 6.22700 | − | 2.77244i | 0.302410 | − | 0.134642i | ||||
\(425\) | 25.6980 | − | 5.46227i | 1.24653 | − | 0.264959i | ||||
\(426\) | −1.42364 | − | 4.38150i | −0.0689753 | − | 0.212284i | ||||
\(427\) | 12.6561 | + | 20.0786i | 0.612471 | + | 0.971671i | ||||
\(428\) | −13.6926 | −0.661855 | ||||||||
\(429\) | 8.18562 | + | 5.75204i | 0.395206 | + | 0.277711i | ||||
\(430\) | 1.01671 | − | 1.76100i | 0.0490302 | − | 0.0849228i | ||||
\(431\) | 0.955162 | + | 9.08776i | 0.0460085 | + | 0.437742i | 0.993143 | + | 0.116905i | \(0.0372974\pi\) |
−0.947135 | + | 0.320837i | \(0.896036\pi\) | |||||||
\(432\) | 0.669131 | − | 0.743145i | 0.0321936 | − | 0.0357546i | ||||
\(433\) | −7.54891 | + | 23.2332i | −0.362778 | + | 1.11651i | 0.588584 | + | 0.808436i | \(0.299686\pi\) |
−0.951361 | + | 0.308078i | \(0.900314\pi\) | |||||||
\(434\) | −4.67075 | − | 12.6781i | −0.224203 | − | 0.608568i | ||||
\(435\) | −1.44558 | − | 1.05027i | −0.0693101 | − | 0.0503567i | ||||
\(436\) | 10.4092 | − | 2.21253i | 0.498508 | − | 0.105961i | ||||
\(437\) | 2.18102 | + | 0.463589i | 0.104332 | + | 0.0221765i | ||||
\(438\) | 0.594457 | + | 5.65588i | 0.0284043 | + | 0.270248i | ||||
\(439\) | 2.79719 | + | 4.84488i | 0.133503 | + | 0.231233i | 0.925024 | − | 0.379908i | \(-0.124044\pi\) |
−0.791522 | + | 0.611141i | \(0.790711\pi\) | |||||||
\(440\) | −0.448830 | − | 0.482927i | −0.0213971 | − | 0.0230226i | ||||
\(441\) | 4.26630 | − | 5.54966i | 0.203157 | − | 0.264269i | ||||
\(442\) | −12.9249 | + | 9.39050i | −0.614776 | + | 0.446661i | ||||
\(443\) | 20.8157 | − | 23.1181i | 0.988982 | − | 1.09838i | −0.00616516 | − | 0.999981i | \(-0.501962\pi\) |
0.995147 | − | 0.0983951i | \(-0.0313709\pi\) | |||||||
\(444\) | 7.75137 | + | 8.60877i | 0.367864 | + | 0.408554i | ||||
\(445\) | −1.10852 | + | 0.493545i | −0.0525489 | + | 0.0233963i | ||||
\(446\) | 0.384432 | − | 3.65763i | 0.0182034 | − | 0.173194i | ||||
\(447\) | −6.22281 | + | 19.1519i | −0.294329 | + | 0.905851i | ||||
\(448\) | 0.719303 | − | 2.54610i | 0.0339839 | − | 0.120292i | ||||
\(449\) | −6.82734 | + | 4.96035i | −0.322202 | + | 0.234094i | −0.737115 | − | 0.675768i | \(-0.763812\pi\) |
0.414912 | + | 0.909861i | \(0.363812\pi\) | |||||||
\(450\) | −2.48024 | − | 4.29591i | −0.116920 | − | 0.202511i | ||||
\(451\) | −17.2860 | + | 19.8182i | −0.813964 | + | 0.933204i | ||||
\(452\) | −6.03305 | + | 10.4496i | −0.283771 | + | 0.491506i | ||||
\(453\) | −1.69705 | − | 0.755575i | −0.0797343 | − | 0.0355000i | ||||
\(454\) | 2.47268 | + | 7.61014i | 0.116049 | + | 0.357162i | ||||
\(455\) | −1.47326 | − | 0.588536i | −0.0690675 | − | 0.0275910i | ||||
\(456\) | −0.983238 | − | 0.714365i | −0.0460444 | − | 0.0334532i | ||||
\(457\) | −1.61559 | + | 15.3713i | −0.0755742 | + | 0.719040i | 0.889477 | + | 0.456980i | \(0.151069\pi\) |
−0.965051 | + | 0.262061i | \(0.915598\pi\) | |||||||
\(458\) | 11.1635 | + | 12.3983i | 0.521634 | + | 0.579333i | ||||
\(459\) | −5.18053 | − | 1.10116i | −0.241807 | − | 0.0513976i | ||||
\(460\) | 0.333169 | + | 0.148337i | 0.0155341 | + | 0.00691623i | ||||
\(461\) | −11.5956 | −0.540061 | −0.270031 | − | 0.962852i | \(-0.587034\pi\) | ||||
−0.270031 | + | 0.962852i | \(0.587034\pi\) | |||||||
\(462\) | 4.79570 | + | 7.34856i | 0.223116 | + | 0.341886i | ||||
\(463\) | 6.42606 | 0.298644 | 0.149322 | − | 0.988789i | \(-0.452291\pi\) | ||||
0.149322 | + | 0.988789i | \(0.452291\pi\) | |||||||
\(464\) | 8.21167 | + | 3.65607i | 0.381217 | + | 0.169729i | ||||
\(465\) | −0.992951 | − | 0.211058i | −0.0460470 | − | 0.00978759i | ||||
\(466\) | 5.11300 | + | 5.67856i | 0.236855 | + | 0.263054i | ||||
\(467\) | −1.79713 | + | 17.0986i | −0.0831615 | + | 0.791228i | 0.870868 | + | 0.491516i | \(0.163557\pi\) |
−0.954030 | + | 0.299712i | \(0.903109\pi\) | |||||||
\(468\) | 2.44038 | + | 1.77304i | 0.112807 | + | 0.0819588i | ||||
\(469\) | −6.00586 | − | 41.5526i | −0.277325 | − | 1.91872i | ||||
\(470\) | −0.766727 | − | 2.35974i | −0.0353665 | − | 0.108847i | ||||
\(471\) | −10.3058 | − | 4.58844i | −0.474866 | − | 0.211424i | ||||
\(472\) | −1.01718 | + | 1.76181i | −0.0468196 | + | 0.0810939i | ||||
\(473\) | −17.4249 | − | 29.1101i | −0.801200 | − | 1.33848i | ||||
\(474\) | 4.07115 | + | 7.05143i | 0.186994 | + | 0.323883i | ||||
\(475\) | −4.87734 | + | 3.54359i | −0.223788 | + | 0.162591i | ||||
\(476\) | −13.5830 | + | 3.44318i | −0.622576 | + | 0.157818i | ||||
\(477\) | −2.10635 | + | 6.48269i | −0.0964433 | + | 0.296822i | ||||
\(478\) | −0.463256 | + | 4.40758i | −0.0211888 | + | 0.201598i | ||||
\(479\) | 24.3574 | − | 10.8446i | 1.11292 | − | 0.495503i | 0.233886 | − | 0.972264i | \(-0.424856\pi\) |
0.879033 | + | 0.476761i | \(0.158189\pi\) | |||||||
\(480\) | −0.133013 | − | 0.147725i | −0.00607116 | − | 0.00674271i | ||||
\(481\) | −23.3818 | + | 25.9681i | −1.06612 | + | 1.18405i | ||||
\(482\) | −5.99271 | + | 4.35396i | −0.272961 | + | 0.198317i | ||||
\(483\) | −4.03477 | − | 2.69856i | −0.183588 | − | 0.122789i | ||||
\(484\) | −10.6821 | + | 2.62545i | −0.485549 | + | 0.119339i | ||||
\(485\) | 0.295458 | + | 0.511749i | 0.0134161 | + | 0.0232373i | ||||
\(486\) | 0.104528 | + | 0.994522i | 0.00474151 | + | 0.0451124i | ||||
\(487\) | −0.112841 | − | 0.0239851i | −0.00511331 | − | 0.00108687i | 0.205354 | − | 0.978688i | \(-0.434165\pi\) |
−0.210468 | + | 0.977601i | \(0.567499\pi\) | |||||||
\(488\) | −8.77477 | + | 1.86513i | −0.397215 | + | 0.0844307i | ||||
\(489\) | 3.36623 | + | 2.44571i | 0.152226 | + | 0.110599i | ||||
\(490\) | −1.00849 | − | 0.958741i | −0.0455591 | − | 0.0433115i | ||||
\(491\) | 0.0245808 | − | 0.0756520i | 0.00110932 | − | 0.00341413i | −0.950500 | − | 0.310724i | \(-0.899429\pi\) |
0.951610 | + | 0.307309i | \(0.0994287\pi\) | |||||||
\(492\) | −5.30557 | + | 5.89243i | −0.239193 | + | 0.265651i | ||||
\(493\) | −4.97630 | − | 47.3463i | −0.224121 | − | 2.13237i | ||||
\(494\) | 1.83304 | − | 3.17491i | 0.0824722 | − | 0.142846i | ||||
\(495\) | 0.659210 | − | 0.0104046i | 0.0296293 | − | 0.000467654i | ||||
\(496\) | 5.10671 | 0.229298 | ||||||||
\(497\) | 12.1797 | − | 0.473086i | 0.546336 | − | 0.0212208i | ||||
\(498\) | −4.43087 | − | 13.6368i | −0.198552 | − | 0.611081i | ||||
\(499\) | 43.2919 | − | 9.20197i | 1.93801 | − | 0.411937i | 0.940646 | − | 0.339390i | \(-0.110221\pi\) |
0.997365 | − | 0.0725464i | \(-0.0231125\pi\) | |||||||
\(500\) | −1.80881 | + | 0.805333i | −0.0808923 | + | 0.0360156i | ||||
\(501\) | 0.0705018 | − | 0.0313894i | 0.00314979 | − | 0.00140238i | ||||
\(502\) | 16.3794 | − | 3.48155i | 0.731049 | − | 0.155389i | ||||
\(503\) | 7.12513 | + | 21.9289i | 0.317694 | + | 0.977761i | 0.974631 | + | 0.223816i | \(0.0718515\pi\) |
−0.656937 | + | 0.753945i | \(0.728148\pi\) | |||||||
\(504\) | 1.41081 | + | 2.23822i | 0.0628425 | + | 0.0996981i | ||||
\(505\) | −1.90283 | −0.0846748 | ||||||||
\(506\) | 4.86568 | − | 3.65382i | 0.216306 | − | 0.162432i | ||||
\(507\) | 1.95044 | − | 3.37826i | 0.0866219 | − | 0.150034i | ||||
\(508\) | −0.269270 | − | 2.56194i | −0.0119469 | − | 0.113668i | ||||
\(509\) | 26.8858 | − | 29.8597i | 1.19169 | − | 1.32351i | 0.257697 | − | 0.966226i | \(-0.417036\pi\) |
0.933996 | − | 0.357284i | \(-0.116297\pi\) | |||||||
\(510\) | −0.325338 | + | 1.00129i | −0.0144062 | + | 0.0443377i | ||||
\(511\) | −14.8280 | − | 2.55475i | −0.655953 | − | 0.113015i | ||||
\(512\) | 0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | ||||
\(513\) | 1.18879 | − | 0.252685i | 0.0524864 | − | 0.0111563i | ||||
\(514\) | −3.98346 | − | 0.846711i | −0.175703 | − | 0.0373468i | ||||
\(515\) | 0.0933904 | + | 0.888551i | 0.00411527 | + | 0.0391542i | ||||
\(516\) | −5.11465 | − | 8.85883i | −0.225160 | − | 0.389988i | ||||
\(517\) | −40.6235 | − | 7.96689i | −1.78662 | − | 0.350383i | ||||
\(518\) | −27.4943 | + | 13.5434i | −1.20803 | + | 0.595064i | ||||
\(519\) | −3.08590 | + | 2.24204i | −0.135456 | + | 0.0984146i | ||||
\(520\) | 0.401229 | − | 0.445610i | 0.0175951 | − | 0.0195413i | ||||
\(521\) | 0.0616627 | + | 0.0684833i | 0.00270149 | + | 0.00300031i | 0.744494 | − | 0.667629i | \(-0.232691\pi\) |
−0.741793 | + | 0.670629i | \(0.766024\pi\) | |||||||
\(522\) | −8.21167 | + | 3.65607i | −0.359415 | + | 0.160022i | ||||
\(523\) | −1.84598 | + | 17.5633i | −0.0807189 | + | 0.767989i | 0.877040 | + | 0.480417i | \(0.159515\pi\) |
−0.957759 | + | 0.287572i | \(0.907152\pi\) | |||||||
\(524\) | −4.72956 | + | 14.5561i | −0.206612 | + | 0.635886i | ||||
\(525\) | 12.7218 | − | 3.22488i | 0.555226 | − | 0.140745i | ||||
\(526\) | −6.32656 | + | 4.59651i | −0.275851 | + | 0.200417i | ||||
\(527\) | −13.5233 | − | 23.4230i | −0.589083 | − | 1.02032i | ||||
\(528\) | −3.23286 | + | 0.740677i | −0.140692 | + | 0.0322338i | ||||
\(529\) | 9.81703 | − | 17.0036i | 0.426827 | − | 0.739287i | ||||
\(530\) | 1.23783 | + | 0.551117i | 0.0537679 | + | 0.0239390i | ||||
\(531\) | −0.628653 | − | 1.93479i | −0.0272812 | − | 0.0839629i | ||||
\(532\) | 2.52609 | − | 1.98957i | 0.109520 | − | 0.0862590i | ||||
\(533\) | −19.3499 | − | 14.0585i | −0.838136 | − | 0.608942i | ||||
\(534\) | −0.638067 | + | 6.07080i | −0.0276119 | + | 0.262709i | ||||
\(535\) | −1.82128 | − | 2.02274i | −0.0787410 | − | 0.0874507i | ||||
\(536\) | 15.5218 | + | 3.29927i | 0.670441 | + | 0.142507i | ||||
\(537\) | 3.40213 | + | 1.51473i | 0.146813 | + | 0.0653653i | ||||
\(538\) | 7.17640 | 0.309397 | ||||||||
\(539\) | −22.1597 | + | 6.92446i | −0.954485 | + | 0.298258i | ||||
\(540\) | 0.198784 | 0.00855431 | ||||||||
\(541\) | 1.43484 | + | 0.638830i | 0.0616884 | + | 0.0274655i | 0.437349 | − | 0.899292i | \(-0.355917\pi\) |
−0.375661 | + | 0.926757i | \(0.622584\pi\) | |||||||
\(542\) | −23.3986 | − | 4.97352i | −1.00505 | − | 0.213631i | ||||
\(543\) | 9.46105 | + | 10.5076i | 0.406013 | + | 0.450923i | ||||
\(544\) | 0.553611 | − | 5.26726i | 0.0237359 | − | 0.225832i | ||||
\(545\) | 1.71140 | + | 1.24340i | 0.0733081 | + | 0.0532615i | ||||
\(546\) | −6.26970 | + | 4.93809i | −0.268318 | + | 0.211331i | ||||
\(547\) | 4.61840 | + | 14.2140i | 0.197469 | + | 0.607746i | 0.999939 | + | 0.0110540i | \(0.00351868\pi\) |
−0.802470 | + | 0.596692i | \(0.796481\pi\) | |||||||
\(548\) | 0.0982329 | + | 0.0437361i | 0.00419630 | + | 0.00186831i | ||||
\(549\) | 4.48540 | − | 7.76894i | 0.191432 | − | 0.331570i | ||||
\(550\) | −1.46128 | + | 16.3870i | −0.0623091 | + | 0.698746i | ||||
\(551\) | 5.46227 | + | 9.46092i | 0.232700 | + | 0.403049i | ||||
\(552\) | 1.48426 | − | 1.07838i | 0.0631744 | − | 0.0458989i | ||||
\(553\) | −20.8820 | + | 5.29341i | −0.887993 | + | 0.225099i | ||||
\(554\) | −2.00207 | + | 6.16174i | −0.0850599 | + | 0.261787i | ||||
\(555\) | −0.240704 | + | 2.29015i | −0.0102173 | + | 0.0972114i | ||||
\(556\) | 17.0561 | − | 7.59386i | 0.723339 | − | 0.322051i | ||||
\(557\) | −11.4680 | − | 12.7365i | −0.485914 | − | 0.539662i | 0.449470 | − | 0.893295i | \(-0.351613\pi\) |
−0.935384 | + | 0.353633i | \(0.884946\pi\) | |||||||
\(558\) | −3.41706 | + | 3.79503i | −0.144656 | + | 0.160656i | ||||
\(559\) | 24.9634 | − | 18.1370i | 1.05584 | − | 0.767112i | ||||
\(560\) | 0.471799 | − | 0.232403i | 0.0199372 | − | 0.00982083i | ||||
\(561\) | 11.9583 | + | 12.8668i | 0.504881 | + | 0.543236i | ||||
\(562\) | −6.71929 | − | 11.6382i | −0.283436 | − | 0.490926i | ||||
\(563\) | −3.11673 | − | 29.6537i | −0.131355 | − | 1.24976i | −0.839370 | − | 0.543560i | \(-0.817076\pi\) |
0.708016 | − | 0.706197i | \(-0.249591\pi\) | |||||||
\(564\) | −12.2090 | − | 2.59511i | −0.514093 | − | 0.109274i | ||||
\(565\) | −2.34614 | + | 0.498687i | −0.0987027 | + | 0.0209799i | ||||
\(566\) | 8.69321 | + | 6.31599i | 0.365403 | + | 0.265481i | ||||
\(567\) | −2.60734 | − | 0.449223i | −0.109498 | − | 0.0188656i | ||||
\(568\) | −1.42364 | + | 4.38150i | −0.0597344 | + | 0.183844i | ||||
\(569\) | 16.2160 | − | 18.0097i | 0.679811 | − | 0.755007i | −0.300216 | − | 0.953871i | \(-0.597059\pi\) |
0.980027 | + | 0.198865i | \(0.0637254\pi\) | |||||||
\(570\) | −0.0252533 | − | 0.240269i | −0.00105774 | − | 0.0100638i | ||||
\(571\) | −10.3686 | + | 17.9589i | −0.433912 | + | 0.751557i | −0.997206 | − | 0.0746992i | \(-0.976200\pi\) |
0.563294 | + | 0.826256i | \(0.309534\pi\) | |||||||
\(572\) | −3.24134 | − | 9.46489i | −0.135527 | − | 0.395747i | ||||
\(573\) | 19.2496 | 0.804164 | ||||||||
\(574\) | −11.1864 | − | 17.7469i | −0.466910 | − | 0.740742i | ||||
\(575\) | −2.81229 | − | 8.65533i | −0.117280 | − | 0.360952i | ||||
\(576\) | −0.978148 | + | 0.207912i | −0.0407562 | + | 0.00866299i | ||||
\(577\) | −12.5963 | + | 5.60822i | −0.524390 | + | 0.233473i | −0.651819 | − | 0.758374i | \(-0.725994\pi\) |
0.127430 | + | 0.991848i | \(0.459327\pi\) | |||||||
\(578\) | −10.0951 | + | 4.49464i | −0.419902 | + | 0.186952i | ||||
\(579\) | 6.26871 | − | 1.33246i | 0.260519 | − | 0.0553750i | ||||
\(580\) | 0.552161 | + | 1.69938i | 0.0229272 | + | 0.0705628i | ||||
\(581\) | 37.9078 | − | 1.47242i | 1.57268 | − | 0.0610861i | ||||
\(582\) | 2.97266 | 0.123221 | ||||||||
\(583\) | 18.0776 | − | 13.5751i | 0.748696 | − | 0.562224i | ||||
\(584\) | 2.84352 | − | 4.92512i | 0.117666 | − | 0.203803i | ||||
\(585\) | 0.0626781 | + | 0.596343i | 0.00259142 | + | 0.0246557i | ||||
\(586\) | 12.6625 | − | 14.0632i | 0.523085 | − | 0.580945i | ||||
\(587\) | 6.60838 | − | 20.3385i | 0.272757 | − | 0.839459i | −0.717047 | − | 0.697025i | \(-0.754507\pi\) |
0.989804 | − | 0.142435i | \(-0.0454931\pi\) | |||||||
\(588\) | −6.71351 | + | 1.98210i | −0.276861 | + | 0.0817405i | ||||
\(589\) | 5.02112 | + | 3.64806i | 0.206892 | + | 0.150316i | ||||
\(590\) | −0.395562 | + | 0.0840793i | −0.0162850 | + | 0.00346149i | ||||
\(591\) | 5.90095 | + | 1.25428i | 0.242732 | + | 0.0515944i | ||||
\(592\) | −1.21088 | − | 11.5208i | −0.0497670 | − | 0.473501i | ||||
\(593\) | −9.66820 | − | 16.7458i | −0.397026 | − | 0.687668i | 0.596332 | − | 0.802738i | \(-0.296624\pi\) |
−0.993357 | + | 0.115070i | \(0.963291\pi\) | |||||||
\(594\) | 1.61278 | − | 2.89809i | 0.0661730 | − | 0.118910i | ||||
\(595\) | −2.31535 | − | 1.54857i | −0.0949203 | − | 0.0634851i | ||||
\(596\) | 16.2915 | − | 11.8365i | 0.667327 | − | 0.484842i | ||||
\(597\) | −7.86933 | + | 8.73977i | −0.322070 | + | 0.357695i | ||||
\(598\) | 3.70309 | + | 4.11269i | 0.151430 | + | 0.168181i | ||||
\(599\) | 21.1973 | − | 9.43766i | 0.866100 | − | 0.385613i | 0.0749153 | − | 0.997190i | \(-0.476131\pi\) |
0.791185 | + | 0.611577i | \(0.209465\pi\) | |||||||
\(600\) | −0.518512 | + | 4.93331i | −0.0211682 | + | 0.201402i | ||||
\(601\) | 2.44973 | − | 7.53949i | 0.0999266 | − | 0.307542i | −0.888580 | − | 0.458722i | \(-0.848307\pi\) |
0.988506 | + | 0.151180i | \(0.0483073\pi\) | |||||||
\(602\) | 26.2344 | − | 6.65020i | 1.06924 | − | 0.271042i | ||||
\(603\) | −12.8380 | + | 9.32733i | −0.522802 | + | 0.379838i | ||||
\(604\) | 0.928826 | + | 1.60877i | 0.0377934 | + | 0.0654601i | ||||
\(605\) | −1.80870 | − | 1.22880i | −0.0735340 | − | 0.0499577i | ||||
\(606\) | −4.78617 | + | 8.28989i | −0.194425 | + | 0.336754i | ||||
\(607\) | −22.2189 | − | 9.89247i | −0.901836 | − | 0.401523i | −0.0971814 | − | 0.995267i | \(-0.530983\pi\) |
−0.804654 | + | 0.593744i | \(0.797649\pi\) | |||||||
\(608\) | 0.375564 | + | 1.15587i | 0.0152311 | + | 0.0468766i | ||||
\(609\) | −3.40203 | − | 23.5375i | −0.137857 | − | 0.953789i | ||||
\(610\) | −1.44268 | − | 1.04817i | −0.0584125 | − | 0.0424391i | ||||
\(611\) | 3.93560 | − | 37.4447i | 0.159217 | − | 1.51485i | ||||
\(612\) | 3.54390 | + | 3.93590i | 0.143254 | + | 0.159099i | ||||
\(613\) | −30.6201 | − | 6.50851i | −1.23673 | − | 0.262876i | −0.457273 | − | 0.889326i | \(-0.651174\pi\) |
−0.779461 | + | 0.626450i | \(0.784507\pi\) | |||||||
\(614\) | −27.2439 | − | 12.1298i | −1.09947 | − | 0.489517i | ||||
\(615\) | −1.57617 | −0.0635572 | ||||||||
\(616\) | 0.439574 | − | 8.76395i | 0.0177109 | − | 0.353110i | ||||
\(617\) | 48.1719 | 1.93933 | 0.969664 | − | 0.244442i | \(-0.0786047\pi\) | ||||
0.969664 | + | 0.244442i | \(0.0786047\pi\) | |||||||
\(618\) | 4.10597 | + | 1.82810i | 0.165167 | + | 0.0735369i | ||||
\(619\) | 41.8668 | + | 8.89905i | 1.68277 | + | 0.357683i | 0.947416 | − | 0.320004i | \(-0.103684\pi\) |
0.735351 | + | 0.677687i | \(0.237017\pi\) | |||||||
\(620\) | 0.679257 | + | 0.754391i | 0.0272796 | + | 0.0302971i | ||||
\(621\) | −0.191773 | + | 1.82460i | −0.00769559 | + | 0.0732186i | ||||
\(622\) | 12.1318 | + | 8.81426i | 0.486440 | + | 0.353420i | ||||
\(623\) | −14.9979 | − | 5.99133i | −0.600878 | − | 0.240037i | ||||
\(624\) | −0.932142 | − | 2.86884i | −0.0373156 | − | 0.114845i | ||||
\(625\) | 22.2986 | + | 9.92797i | 0.891943 | + | 0.397119i | ||||
\(626\) | −3.48511 | + | 6.03638i | −0.139293 | + | 0.241262i | ||||
\(627\) | −3.70779 | − | 1.58118i | −0.148075 | − | 0.0631463i | ||||
\(628\) | 5.64055 | + | 9.76972i | 0.225083 | + | 0.389854i | ||||
\(629\) | −49.6359 | + | 36.0626i | −1.97911 | + | 1.43791i | ||||
\(630\) | −0.142986 | + | 0.506123i | −0.00569670 | + | 0.0201644i | ||||
\(631\) | 11.9327 | − | 36.7250i | 0.475032 | − | 1.46200i | −0.370882 | − | 0.928680i | \(-0.620945\pi\) |
0.845914 | − | 0.533319i | \(-0.179055\pi\) | |||||||
\(632\) | 0.851101 | − | 8.09769i | 0.0338550 | − | 0.322109i | ||||
\(633\) | −4.14140 | + | 1.84387i | −0.164606 | + | 0.0732872i | ||||
\(634\) | −7.37843 | − | 8.19458i | −0.293035 | − | 0.325448i | ||||
\(635\) | 0.342647 | − | 0.380548i | 0.0135975 | − | 0.0151016i | ||||
\(636\) | 5.51450 | − | 4.00652i | 0.218664 | − | 0.158869i | ||||
\(637\) | −8.06303 | − | 19.5152i | −0.319469 | − | 0.773222i | ||||
\(638\) | 29.2552 | + | 5.73738i | 1.15822 | + | 0.227145i | ||||
\(639\) | −2.30349 | − | 3.98976i | −0.0911247 | − | 0.157833i | ||||
\(640\) | 0.0207786 | + | 0.197695i | 0.000821346 | + | 0.00781459i | ||||
\(641\) | −6.39685 | − | 1.35969i | −0.252660 | − | 0.0537046i | 0.0798403 | − | 0.996808i | \(-0.474559\pi\) |
−0.332500 | + | 0.943103i | \(0.607892\pi\) | |||||||
\(642\) | −13.3934 | + | 2.84685i | −0.528594 | + | 0.112356i | ||||
\(643\) | 35.2374 | + | 25.6015i | 1.38963 | + | 1.00962i | 0.995906 | + | 0.0903935i | \(0.0288125\pi\) |
0.393721 | + | 0.919230i | \(0.371188\pi\) | |||||||
\(644\) | 1.67802 | + | 4.55476i | 0.0661234 | + | 0.179483i | ||||
\(645\) | 0.628362 | − | 1.93390i | 0.0247417 | − | 0.0761472i | ||||
\(646\) | 4.30707 | − | 4.78349i | 0.169460 | − | 0.188204i | ||||
\(647\) | 0.893653 | + | 8.50254i | 0.0351331 | + | 0.334269i | 0.997944 | + | 0.0640928i | \(0.0204154\pi\) |
−0.962811 | + | 0.270176i | \(0.912918\pi\) | |||||||
\(648\) | 0.500000 | − | 0.866025i | 0.0196419 | − | 0.0340207i | ||||
\(649\) | −1.98348 | + | 6.44909i | −0.0778582 | + | 0.253149i | ||||
\(650\) | −14.9632 | −0.586904 | ||||||||
\(651\) | −7.20460 | − | 11.4299i | −0.282371 | − | 0.447974i | ||||
\(652\) | −1.28579 | − | 3.95724i | −0.0503552 | − | 0.154978i | ||||
\(653\) | −12.8800 | + | 2.73772i | −0.504032 | + | 0.107135i | −0.452908 | − | 0.891557i | \(-0.649614\pi\) |
−0.0511235 | + | 0.998692i | \(0.516280\pi\) | |||||||
\(654\) | 9.72168 | − | 4.32837i | 0.380148 | − | 0.169253i | ||||
\(655\) | −2.77940 | + | 1.23747i | −0.108600 | + | 0.0483518i | ||||
\(656\) | 7.75578 | − | 1.64854i | 0.302812 | − | 0.0643647i | ||||
\(657\) | 1.75739 | + | 5.40869i | 0.0685623 | + | 0.211013i | ||||
\(658\) | 15.3894 | − | 29.2187i | 0.599941 | − | 1.13906i | ||||
\(659\) | −34.8138 | −1.35615 | −0.678076 | − | 0.734992i | \(-0.737186\pi\) | ||||
−0.678076 | + | 0.734992i | \(0.737186\pi\) | |||||||
\(660\) | −0.539428 | − | 0.379057i | −0.0209972 | − | 0.0147548i | ||||
\(661\) | −22.9262 | + | 39.7093i | −0.891726 | + | 1.54451i | −0.0539208 | + | 0.998545i | \(0.517172\pi\) |
−0.837805 | + | 0.545969i | \(0.816161\pi\) | |||||||
\(662\) | −0.377858 | − | 3.59508i | −0.0146859 | − | 0.139727i | ||||
\(663\) | −10.6901 | + | 11.8725i | −0.415168 | + | 0.461091i | ||||
\(664\) | −4.43087 | + | 13.6368i | −0.171951 | + | 0.529211i | ||||
\(665\) | 0.629912 | + | 0.108529i | 0.0244269 | + | 0.00420857i | ||||
\(666\) | 9.37185 | + | 6.80905i | 0.363152 | + | 0.263845i | ||||
\(667\) | −16.1309 | + | 3.42873i | −0.624592 | + | 0.132761i | ||||
\(668\) | −0.0754873 | − | 0.0160453i | −0.00292069 | − | 0.000620812i | ||||
\(669\) | −0.384432 | − | 3.65763i | −0.0148630 | − | 0.141412i | ||||
\(670\) | 1.57721 | + | 2.73181i | 0.0609330 | + | 0.105539i | ||||
\(671\) | −26.9861 | + | 12.5290i | −1.04179 | + | 0.483676i | ||||
\(672\) | 0.174221 | − | 2.64001i | 0.00672074 | − | 0.101841i | ||||
\(673\) | 16.7084 | − | 12.1393i | 0.644061 | − | 0.467938i | −0.217182 | − | 0.976131i | \(-0.569687\pi\) |
0.861243 | + | 0.508194i | \(0.169687\pi\) | |||||||
\(674\) | −10.1856 | + | 11.3123i | −0.392336 | + | 0.435733i | ||||
\(675\) | −3.31921 | − | 3.68636i | −0.127757 | − | 0.141888i | ||||
\(676\) | −3.56363 | + | 1.58663i | −0.137063 | + | 0.0610242i | ||||
\(677\) | −3.71547 | + | 35.3503i | −0.142797 | + | 1.35862i | 0.654969 | + | 0.755656i | \(0.272682\pi\) |
−0.797766 | + | 0.602967i | \(0.793985\pi\) | |||||||
\(678\) | −3.72863 | + | 11.4755i | −0.143197 | + | 0.440716i | ||||
\(679\) | −2.13824 | + | 7.56867i | −0.0820581 | + | 0.290459i | ||||
\(680\) | 0.851745 | − | 0.618829i | 0.0326629 | − | 0.0237310i | ||||
\(681\) | 4.00089 | + | 6.92974i | 0.153314 | + | 0.265548i | ||||
\(682\) | 16.5093 | − | 3.78243i | 0.632174 | − | 0.144837i | ||||
\(683\) | 5.17401 | − | 8.96164i | 0.197978 | − | 0.342908i | −0.749895 | − | 0.661557i | \(-0.769896\pi\) |
0.947873 | + | 0.318649i | \(0.103229\pi\) | |||||||
\(684\) | −1.11028 | − | 0.494327i | −0.0424525 | − | 0.0189011i | ||||
\(685\) | 0.00660527 | + | 0.0203289i | 0.000252375 | + | 0.000776729i | ||||
\(686\) | −0.217569 | − | 18.5190i | −0.00830681 | − | 0.707058i | ||||
\(687\) | 13.4972 | + | 9.80632i | 0.514952 | + | 0.374135i | ||||
\(688\) | −1.06925 | + | 10.1733i | −0.0407649 | + | 0.387852i | ||||
\(689\) | 13.7581 | + | 15.2800i | 0.524143 | + | 0.582120i | ||||
\(690\) | 0.356730 | + | 0.0758252i | 0.0135805 | + | 0.00288662i | ||||
\(691\) | −9.36219 | − | 4.16831i | −0.356154 | − | 0.158570i | 0.220857 | − | 0.975306i | \(-0.429115\pi\) |
−0.577011 | + | 0.816736i | \(0.695781\pi\) | |||||||
\(692\) | 3.81438 | 0.145001 | ||||||||
\(693\) | 6.21875 | + | 6.19089i | 0.236231 | + | 0.235173i | ||||
\(694\) | −2.48085 | −0.0941716 | ||||||||
\(695\) | 3.39048 | + | 1.50954i | 0.128608 | + | 0.0572601i | ||||
\(696\) | 8.79237 | + | 1.86888i | 0.333274 | + | 0.0708396i | ||||
\(697\) | −28.0997 | − | 31.2079i | −1.06435 | − | 1.18208i | ||||
\(698\) | −1.58107 | + | 15.0429i | −0.0598445 | + | 0.569383i | ||||
\(699\) | 6.18191 | + | 4.49142i | 0.233821 | + | 0.169881i | ||||
\(700\) | −12.1877 | − | 4.86873i | −0.460652 | − | 0.184021i | ||||
\(701\) | 4.53177 | + | 13.9473i | 0.171162 | + | 0.526784i | 0.999437 | − | 0.0335380i | \(-0.0106775\pi\) |
−0.828275 | + | 0.560322i | \(0.810677\pi\) | |||||||
\(702\) | 2.75569 | + | 1.22691i | 0.104007 | + | 0.0463068i | ||||
\(703\) | 7.03945 | − | 12.1927i | 0.265498 | − | 0.459856i | ||||
\(704\) | 3.05080 | + | 1.30101i | 0.114981 | + | 0.0490336i | ||||
\(705\) | −1.24059 | − | 2.14877i | −0.0467233 | − | 0.0809272i | ||||
\(706\) | −7.34235 | + | 5.33453i | −0.276333 | + | 0.200768i | ||||
\(707\) | −17.6642 | − | 18.1490i | −0.664329 | − | 0.682563i | ||||
\(708\) | −0.628653 | + | 1.93479i | −0.0236262 | + | 0.0727140i | ||||
\(709\) | 1.17894 | − | 11.2169i | 0.0442761 | − | 0.421259i | −0.949823 | − | 0.312787i | \(-0.898738\pi\) |
0.994099 | − | 0.108472i | \(-0.0345958\pi\) | |||||||
\(710\) | −0.836620 | + | 0.372487i | −0.0313978 | + | 0.0139792i | ||||
\(711\) | 5.44826 | + | 6.05090i | 0.204326 | + | 0.226927i | ||||
\(712\) | 4.08454 | − | 4.53634i | 0.153074 | − | 0.170006i | ||||
\(713\) | −7.57970 | + | 5.50698i | −0.283862 | + | 0.206238i | ||||
\(714\) | −12.5703 | + | 6.19200i | −0.470432 | + | 0.231730i | ||||
\(715\) | 0.967065 | − | 1.73778i | 0.0361662 | − | 0.0649892i | ||||
\(716\) | −1.86205 | − | 3.22516i | −0.0695880 | − | 0.120530i | ||||
\(717\) | 0.463256 | + | 4.40758i | 0.0173006 | + | 0.164604i | ||||
\(718\) | 11.7010 | + | 2.48711i | 0.436676 | + | 0.0928183i | ||||
\(719\) | 46.1752 | − | 9.81483i | 1.72204 | − | 0.366031i | 0.762368 | − | 0.647144i | \(-0.224037\pi\) |
0.959675 | + | 0.281112i | \(0.0907034\pi\) | |||||||
\(720\) | −0.160820 | − | 0.116842i | −0.00599340 | − | 0.00435446i | ||||
\(721\) | −7.60795 | + | 9.13925i | −0.283335 | + | 0.340363i | ||||
\(722\) | 5.41488 | − | 16.6653i | 0.201521 | − | 0.620218i | ||||
\(723\) | −4.95652 | + | 5.50477i | −0.184335 | + | 0.204725i | ||||
\(724\) | −1.47796 | − | 14.0619i | −0.0549280 | − | 0.522605i | ||||
\(725\) | 22.2944 | − | 38.6150i | 0.827993 | − | 1.43413i | ||||
\(726\) | −9.90280 | + | 4.78901i | −0.367527 | + | 0.177737i | ||||
\(727\) | −15.1418 | −0.561579 | −0.280789 | − | 0.959769i | \(-0.590596\pi\) | ||||
−0.280789 | + | 0.959769i | \(0.590596\pi\) | |||||||
\(728\) | 7.97483 | − | 0.309759i | 0.295567 | − | 0.0114804i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | 1.10579 | − | 0.235043i | 0.0409271 | − | 0.00869932i | ||||
\(731\) | 49.4933 | − | 22.0358i | 1.83058 | − | 0.815025i | ||||
\(732\) | −8.19523 | + | 3.64875i | −0.302905 | + | 0.134862i | ||||
\(733\) | −46.8357 | + | 9.95523i | −1.72992 | + | 0.367705i | −0.962043 | − | 0.272898i | \(-0.912018\pi\) |
−0.767873 | + | 0.640603i | \(0.778685\pi\) | |||||||
\(734\) | −4.27937 | − | 13.1705i | −0.157954 | − | 0.486133i | ||||
\(735\) | −1.18579 | − | 0.728112i | −0.0437385 | − | 0.0268568i | ||||
\(736\) | −1.83465 | −0.0676261 | ||||||||
\(737\) | 52.6236 | − | 0.830585i | 1.93842 | − | 0.0305950i | ||||
\(738\) | −3.96452 | + | 6.86675i | −0.145936 | + | 0.252769i | ||||
\(739\) | 0.322939 | + | 3.07256i | 0.0118795 | + | 0.113026i | 0.998855 | − | 0.0478466i | \(-0.0152359\pi\) |
−0.986975 | + | 0.160873i | \(0.948569\pi\) | |||||||
\(740\) | 1.54085 | − | 1.71129i | 0.0566428 | − | 0.0629082i | ||||
\(741\) | 1.13288 | − | 3.48664i | 0.0416173 | − | 0.128085i | ||||
\(742\) | 6.23439 | + | 16.9224i | 0.228872 | + | 0.621239i | ||||
\(743\) | 22.4187 | + | 16.2882i | 0.822463 | + | 0.597555i | 0.917417 | − | 0.397927i | \(-0.130270\pi\) |
−0.0949537 | + | 0.995482i | \(0.530270\pi\) | |||||||
\(744\) | 4.99512 | − | 1.06175i | 0.183130 | − | 0.0389255i | ||||
\(745\) | 3.91553 | + | 0.832272i | 0.143454 | + | 0.0304921i | ||||
\(746\) | −2.38702 | − | 22.7110i | −0.0873951 | − | 0.831509i | ||||
\(747\) | −7.16930 | − | 12.4176i | −0.262311 | − | 0.454336i | ||||
\(748\) | −2.11159 | − | 17.4384i | −0.0772073 | − | 0.637610i | ||||
\(749\) | 2.38554 | − | 36.1485i | 0.0871657 | − | 1.32084i | ||||
\(750\) | −1.60184 | + | 1.16381i | −0.0584910 | + | 0.0424962i | ||||
\(751\) | −19.4020 | + | 21.5481i | −0.707988 | + | 0.786300i | −0.984626 | − | 0.174674i | \(-0.944113\pi\) |
0.276639 | + | 0.960974i | \(0.410780\pi\) | |||||||
\(752\) | 8.35194 | + | 9.27577i | 0.304564 | + | 0.338253i | ||||
\(753\) | 15.2976 | − | 6.81095i | 0.557477 | − | 0.248205i | ||||
\(754\) | −2.83424 | + | 26.9660i | −0.103217 | + | 0.982042i | ||||
\(755\) | −0.114111 | + | 0.351198i | −0.00415293 | + | 0.0127814i | ||||
\(756\) | 1.84533 | + | 1.89598i | 0.0671141 | + | 0.0689562i | ||||
\(757\) | −23.3657 | + | 16.9762i | −0.849242 | + | 0.617010i | −0.924937 | − | 0.380121i | \(-0.875882\pi\) |
0.0756951 | + | 0.997131i | \(0.475882\pi\) | |||||||
\(758\) | 6.52121 | + | 11.2951i | 0.236861 | + | 0.410256i | ||||
\(759\) | 3.99969 | − | 4.58561i | 0.145179 | − | 0.166447i | ||||
\(760\) | −0.120796 | + | 0.209225i | −0.00438174 | + | 0.00758939i | ||||
\(761\) | 11.2325 | + | 5.00105i | 0.407179 | + | 0.181288i | 0.600097 | − | 0.799927i | \(-0.295129\pi\) |
−0.192918 | + | 0.981215i | \(0.561795\pi\) | |||||||
\(762\) | −0.796042 | − | 2.44997i | −0.0288376 | − | 0.0887529i | ||||
\(763\) | 4.02761 | + | 27.8657i | 0.145809 | + | 1.00881i | ||||
\(764\) | −15.5733 | − | 11.3146i | −0.563421 | − | 0.409349i | ||||
\(765\) | −0.110049 | + | 1.04705i | −0.00397883 | + | 0.0378561i | ||||
\(766\) | −9.28670 | − | 10.3139i | −0.335542 | − | 0.372657i | ||||
\(767\) | −6.00251 | − | 1.27587i | −0.216738 | − | 0.0460691i | ||||
\(768\) | 0.913545 | + | 0.406737i | 0.0329647 | + | 0.0146768i | ||||
\(769\) | 37.1716 | 1.34044 | 0.670222 | − | 0.742161i | \(-0.266199\pi\) | ||||
0.670222 | + | 0.742161i | \(0.266199\pi\) | |||||||
\(770\) | 1.35313 | − | 1.10078i | 0.0487633 | − | 0.0396693i | ||||
\(771\) | −4.07245 | −0.146666 | ||||||||
\(772\) | −5.85469 | − | 2.60668i | −0.210715 | − | 0.0938163i | ||||
\(773\) | 38.7542 | + | 8.23746i | 1.39389 | + | 0.296281i | 0.842828 | − | 0.538183i | \(-0.180889\pi\) |
0.551063 | + | 0.834464i | \(0.314222\pi\) | |||||||
\(774\) | −6.84474 | − | 7.60185i | −0.246029 | − | 0.273243i | ||||
\(775\) | 2.64789 | − | 25.1930i | 0.0951151 | − | 0.904960i | ||||
\(776\) | −2.40493 | − | 1.74728i | −0.0863319 | − | 0.0627238i | ||||
\(777\) | −24.0777 | + | 18.9639i | −0.863782 | + | 0.680325i | ||||
\(778\) | 4.48702 | + | 13.8096i | 0.160867 | + | 0.495099i | ||||
\(779\) | 8.80344 | + | 3.91954i | 0.315416 | + | 0.140432i | ||||
\(780\) | 0.299814 | − | 0.519293i | 0.0107351 | − | 0.0185937i | ||||
\(781\) | −1.35714 | + | 15.2192i | −0.0485624 | + | 0.544587i | ||||
\(782\) | 4.85840 | + | 8.41500i | 0.173736 | + | 0.300920i | ||||
\(783\) | −7.27209 | + | 5.28348i | −0.259883 | + | 0.188816i | ||||
\(784\) | 6.59640 | + | 2.34255i | 0.235586 | + | 0.0836625i | ||||
\(785\) | −0.692972 | + | 2.13275i | −0.0247332 | + | 0.0761211i | ||||
\(786\) | −1.59983 | + | 15.2213i | −0.0570639 | + | 0.542927i | ||||
\(787\) | −14.9678 | + | 6.66407i | −0.533543 | + | 0.237549i | −0.655780 | − | 0.754952i | \(-0.727660\pi\) |
0.122237 | + | 0.992501i | \(0.460993\pi\) | |||||||
\(788\) | −4.03672 | − | 4.48323i | −0.143802 | − | 0.159708i | ||||
\(789\) | −5.23264 | + | 5.81143i | −0.186287 | + | 0.206893i | ||||
\(790\) | 1.30944 | − | 0.951365i | 0.0465878 | − | 0.0338480i | ||||
\(791\) | −26.5358 | − | 17.7478i | −0.943505 | − | 0.631041i | ||||
\(792\) | −3.00822 | + | 1.39664i | −0.106892 | + | 0.0496275i | ||||
\(793\) | −13.5301 | − | 23.4348i | −0.480468 | − | 0.832195i | ||||
\(794\) | 3.49885 | + | 33.2894i | 0.124170 | + | 1.18140i | ||||
\(795\) | 1.32536 | + | 0.281715i | 0.0470058 | + | 0.00999139i | ||||
\(796\) | 11.5035 | − | 2.44515i | 0.407732 | − | 0.0866660i | ||||
\(797\) | −14.4178 | − | 10.4752i | −0.510706 | − | 0.371050i | 0.302385 | − | 0.953186i | \(-0.402217\pi\) |
−0.813091 | + | 0.582136i | \(0.802217\pi\) | |||||||
\(798\) | 2.05723 | − | 2.47130i | 0.0728252 | − | 0.0874831i | ||||
\(799\) | 20.4282 | − | 62.8714i | 0.722696 | − | 2.22423i | ||||
\(800\) | 3.31921 | − | 3.68636i | 0.117352 | − | 0.130332i | ||||
\(801\) | 0.638067 | + | 6.07080i | 0.0225450 | + | 0.214501i | ||||
\(802\) | 18.8615 | − | 32.6691i | 0.666023 | − | 1.15359i | ||||
\(803\) | 5.54478 | − | 18.0284i | 0.195671 | − | 0.636207i | ||||
\(804\) | 15.8686 | 0.559642 | ||||||||
\(805\) | −0.449655 | + | 0.853726i | −0.0158483 | + | 0.0300899i | ||||
\(806\) | 4.76018 | + | 14.6503i | 0.167670 | + | 0.516036i | ||||
\(807\) | 7.01958 | − | 1.49206i | 0.247101 | − | 0.0525229i | ||||
\(808\) | 8.74477 | − | 3.89342i | 0.307640 | − | 0.136970i | ||||
\(809\) | −13.5235 | + | 6.02103i | −0.475459 | + | 0.211688i | −0.630453 | − | 0.776227i | \(-0.717131\pi\) |
0.154994 | + | 0.987915i | \(0.450464\pi\) | |||||||
\(810\) | 0.194440 | − | 0.0413295i | 0.00683193 | − | 0.00145217i | ||||
\(811\) | 13.7265 | + | 42.2459i | 0.482004 | + | 1.48345i | 0.836274 | + | 0.548312i | \(0.184729\pi\) |
−0.354270 | + | 0.935143i | \(0.615271\pi\) | |||||||
\(812\) | −11.0827 | + | 21.0419i | −0.388927 | + | 0.738427i | ||||
\(813\) | −23.9213 | −0.838957 | ||||||||
\(814\) | −12.4478 | − | 36.3482i | −0.436295 | − | 1.27400i | ||||
\(815\) | 0.413559 | − | 0.716306i | 0.0144864 | − | 0.0250911i | ||||
\(816\) | −0.553611 | − | 5.26726i | −0.0193803 | − | 0.184391i | ||||
\(817\) | −8.31875 | + | 9.23891i | −0.291036 | + | 0.323228i | ||||
\(818\) | 11.3688 | − | 34.9895i | 0.397501 | − | 1.22338i | ||||
\(819\) | −5.10601 | + | 6.13372i | −0.178418 | + | 0.214330i | ||||
\(820\) | 1.27515 | + | 0.926448i | 0.0445301 | + | 0.0323530i | ||||
\(821\) | −31.4139 | + | 6.67724i | −1.09635 | + | 0.233037i | −0.720371 | − | 0.693589i | \(-0.756028\pi\) |
−0.375983 | + | 0.926627i | \(0.622695\pi\) | |||||||
\(822\) | 0.105180 | + | 0.0223566i | 0.00366856 | + | 0.000779776i | ||||
\(823\) | 1.06123 | + | 10.0970i | 0.0369923 | + | 0.351958i | 0.997325 | + | 0.0730999i | \(0.0232892\pi\) |
−0.960332 | + | 0.278858i | \(0.910044\pi\) | |||||||
\(824\) | −2.24727 | − | 3.89239i | −0.0782875 | − | 0.135598i | ||||
\(825\) | 1.97771 | + | 16.3328i | 0.0688551 | + | 0.568634i | ||||
\(826\) | −4.47398 | − | 2.99231i | −0.155670 | − | 0.104116i | ||||
\(827\) | 7.29128 | − | 5.29742i | 0.253542 | − | 0.184209i | −0.453753 | − | 0.891128i | \(-0.649915\pi\) |
0.707295 | + | 0.706918i | \(0.249915\pi\) | |||||||
\(828\) | 1.22762 | − | 1.36341i | 0.0426627 | − | 0.0473818i | ||||
\(829\) | 4.18750 | + | 4.65069i | 0.145438 | + | 0.161525i | 0.811462 | − | 0.584405i | \(-0.198672\pi\) |
−0.666024 | + | 0.745930i | \(0.732005\pi\) | |||||||
\(830\) | −2.60387 | + | 1.15932i | −0.0903815 | + | 0.0402405i | ||||
\(831\) | −0.677223 | + | 6.44335i | −0.0234926 | + | 0.223517i | ||||
\(832\) | −0.932142 | + | 2.86884i | −0.0323162 | + | 0.0994591i | ||||
\(833\) | −6.72356 | − | 36.4591i | −0.232958 | − | 1.26323i | ||||
\(834\) | 15.1045 | − | 10.9741i | 0.523027 | − | 0.380001i | ||||
\(835\) | −0.00767046 | − | 0.0132856i | −0.000265447 | − | 0.000459768i | ||||
\(836\) | 2.07027 | + | 3.45858i | 0.0716017 | + | 0.119618i | ||||
\(837\) | −2.55336 | + | 4.42254i | −0.0882569 | + | 0.152865i | ||||
\(838\) | 2.87150 | + | 1.27848i | 0.0991945 | + | 0.0441642i | ||||
\(839\) | 13.7893 | + | 42.4390i | 0.476059 | + | 1.46516i | 0.844524 | + | 0.535517i | \(0.179883\pi\) |
−0.368466 | + | 0.929641i | \(0.620117\pi\) | |||||||
\(840\) | 0.413170 | − | 0.325417i | 0.0142557 | − | 0.0112280i | ||||
\(841\) | −41.9058 | − | 30.4464i | −1.44503 | − | 1.04987i | ||||
\(842\) | 3.43840 | − | 32.7142i | 0.118495 | − | 1.12741i | ||||
\(843\) | −8.99217 | − | 9.98681i | −0.309707 | − | 0.343964i | ||||
\(844\) | 4.43426 | + | 0.942531i | 0.152633 | + | 0.0324432i | ||||
\(845\) | −0.708392 | − | 0.315397i | −0.0243694 | − | 0.0108500i | ||||
\(846\) | −12.4818 | −0.429133 | ||||||||
\(847\) | −5.07017 | − | 28.6582i | −0.174213 | − | 0.984708i | ||||
\(848\) | −6.81630 | −0.234073 | ||||||||
\(849\) | 9.81641 | + | 4.37055i | 0.336898 | + | 0.149997i | ||||
\(850\) | −25.6980 | − | 5.46227i | −0.881433 | − | 0.187354i | ||||
\(851\) | 14.2210 | + | 15.7941i | 0.487491 | + | 0.541414i | ||||
\(852\) | −0.481561 | + | 4.58174i | −0.0164980 | + | 0.156968i | ||||
\(853\) | 19.1546 | + | 13.9166i | 0.655839 | + | 0.476495i | 0.865255 | − | 0.501331i | \(-0.167156\pi\) |
−0.209416 | + | 0.977827i | \(0.567156\pi\) | |||||||
\(854\) | −3.39522 | − | 23.4904i | −0.116182 | − | 0.803825i | ||||
\(855\) | −0.0746561 | − | 0.229768i | −0.00255318 | − | 0.00785789i | ||||
\(856\) | 12.5088 | + | 5.56927i | 0.427542 | + | 0.190354i | ||||
\(857\) | −20.5063 | + | 35.5180i | −0.700483 | + | 1.21327i | 0.267814 | + | 0.963471i | \(0.413699\pi\) |
−0.968297 | + | 0.249802i | \(0.919635\pi\) | |||||||
\(858\) | −5.13837 | − | 8.58414i | −0.175421 | − | 0.293058i | ||||
\(859\) | 11.4255 | + | 19.7895i | 0.389832 | + | 0.675209i | 0.992427 | − | 0.122839i | \(-0.0391997\pi\) |
−0.602595 | + | 0.798047i | \(0.705866\pi\) | |||||||
\(860\) | −1.64507 | + | 1.19522i | −0.0560965 | + | 0.0407565i | ||||
\(861\) | −14.6317 | − | 15.0333i | −0.498648 | − | 0.512334i | ||||
\(862\) | 2.82374 | − | 8.69058i | 0.0961770 | − | 0.296002i | ||||
\(863\) | 1.16594 | − | 11.0932i | 0.0396892 | − | 0.377617i | −0.956590 | − | 0.291436i | \(-0.905867\pi\) |
0.996279 | − | 0.0861813i | \(-0.0274664\pi\) | |||||||
\(864\) | −0.913545 | + | 0.406737i | −0.0310794 | + | 0.0138375i | ||||
\(865\) | 0.507361 | + | 0.563481i | 0.0172508 | + | 0.0191589i | ||||
\(866\) | 16.3461 | − | 18.1541i | 0.555461 | − | 0.616902i | ||||
\(867\) | −8.94003 | + | 6.49531i | −0.303619 | + | 0.220592i | ||||
\(868\) | −0.889699 | + | 13.4818i | −0.0301984 | + | 0.457601i | ||||
\(869\) | −3.24628 | − | 26.8091i | −0.110122 | − | 0.909436i | ||||
\(870\) | 0.893415 | + | 1.54744i | 0.0302896 | + | 0.0524631i | ||||
\(871\) | 5.00349 | + | 47.6050i | 0.169537 | + | 1.61303i | ||||
\(872\) | −10.4092 | − | 2.21253i | −0.352498 | − | 0.0749258i | ||||
\(873\) | 2.90770 | − | 0.618050i | 0.0984106 | − | 0.0209178i | ||||
\(874\) | −1.80390 | − | 1.31061i | −0.0610178 | − | 0.0443320i | ||||
\(875\) | −1.81095 | − | 4.91557i | −0.0612214 | − | 0.166177i | ||||
\(876\) | 1.75739 | − | 5.40869i | 0.0593767 | − | 0.182743i | ||||
\(877\) | 14.1692 | − | 15.7365i | 0.478460 | − | 0.531384i | −0.454796 | − | 0.890596i | \(-0.650288\pi\) |
0.933256 | + | 0.359212i | \(0.116954\pi\) | |||||||
\(878\) | −0.584772 | − | 5.56374i | −0.0197351 | − | 0.187767i | ||||
\(879\) | 9.46194 | − | 16.3886i | 0.319143 | − | 0.552772i | ||||
\(880\) | 0.213603 | + | 0.623731i | 0.00720054 | + | 0.0210260i | ||||
\(881\) | −1.19162 | −0.0401466 | −0.0200733 | − | 0.999799i | \(-0.506390\pi\) | ||||
−0.0200733 | + | 0.999799i | \(0.506390\pi\) | |||||||
\(882\) | −6.15471 | + | 3.33461i | −0.207240 | + | 0.112282i | ||||
\(883\) | 9.39002 | + | 28.8995i | 0.315999 | + | 0.972546i | 0.975341 | + | 0.220703i | \(0.0708350\pi\) |
−0.659342 | + | 0.751843i | \(0.729165\pi\) | |||||||
\(884\) | 15.6270 | − | 3.32161i | 0.525591 | − | 0.111718i | ||||
\(885\) | −0.369437 | + | 0.164484i | −0.0124185 | + | 0.00552907i | ||||
\(886\) | −28.4191 | + | 12.6530i | −0.954757 | + | 0.425085i | ||||
\(887\) | −33.4948 | + | 7.11953i | −1.12464 | + | 0.239051i | −0.732443 | − | 0.680829i | \(-0.761620\pi\) |
−0.392202 | + | 0.919879i | \(0.628287\pi\) | |||||||
\(888\) | −3.57973 | − | 11.0173i | −0.120128 | − | 0.369715i | ||||
\(889\) | 6.81045 | − | 0.264532i | 0.228415 | − | 0.00887211i | ||||
\(890\) | 1.21343 | 0.0406742 | ||||||||
\(891\) | 0.974986 | − | 3.17008i | 0.0326633 | − | 0.106202i | ||||
\(892\) | −1.83889 | + | 3.18505i | −0.0615705 | + | 0.106643i | ||||
\(893\) | 1.58567 | + | 15.0866i | 0.0530624 | + | 0.504855i | ||||
\(894\) | 13.4746 | − | 14.9650i | 0.450657 | − | 0.500506i | ||||
\(895\) | 0.228763 | − | 0.704059i | 0.00764669 | − | 0.0235341i | ||||
\(896\) | −1.69271 | + | 2.03341i | −0.0565494 | + | 0.0679314i | ||||
\(897\) | 4.47724 | + | 3.25291i | 0.149491 | + | 0.108611i | ||||
\(898\) | 8.25464 | − | 1.75458i | 0.275461 | − | 0.0585511i | ||||
\(899\) | −44.9001 | − | 9.54382i | −1.49750 | − | 0.318304i | ||||
\(900\) | 0.518512 | + | 4.93331i | 0.0172837 | + | 0.164444i | ||||
\(901\) | 18.0505 | + | 31.2644i | 0.601349 | + | 1.04157i | ||||
\(902\) | 23.8523 | − | 11.0740i | 0.794195 | − | 0.368725i | ||||
\(903\) | 24.2785 | − | 11.9593i | 0.807937 | − | 0.397981i | ||||
\(904\) | 9.76168 | − | 7.09228i | 0.324669 | − | 0.235886i | ||||
\(905\) | 1.88071 | − | 2.08874i | 0.0625168 | − | 0.0694320i | ||||
\(906\) | 1.24301 | + | 1.38050i | 0.0412963 | + | 0.0458642i | ||||
\(907\) | 4.14736 | − | 1.84652i | 0.137711 | − | 0.0613128i | −0.336724 | − | 0.941603i | \(-0.609319\pi\) |
0.474435 | + | 0.880290i | \(0.342652\pi\) | |||||||
\(908\) | 0.836413 | − | 7.95794i | 0.0277574 | − | 0.264094i | ||||
\(909\) | −2.95802 | + | 9.10384i | −0.0981112 | + | 0.301955i | ||||
\(910\) | 1.10651 | + | 1.13688i | 0.0366805 | + | 0.0376873i | ||||
\(911\) | −3.89712 | + | 2.83142i | −0.129117 | + | 0.0938093i | −0.650469 | − | 0.759532i | \(-0.725428\pi\) |
0.521352 | + | 0.853342i | \(0.325428\pi\) | |||||||
\(912\) | 0.607675 | + | 1.05252i | 0.0201221 | + | 0.0348525i | ||||
\(913\) | −4.22392 | + | 47.3678i | −0.139791 | + | 1.56765i | ||||
\(914\) | 7.72800 | − | 13.3853i | 0.255619 | − | 0.442746i | ||||
\(915\) | −1.62908 | − | 0.725314i | −0.0538558 | − | 0.0239781i | ||||
\(916\) | −5.15549 | − | 15.8670i | −0.170342 | − | 0.524259i | ||||
\(917\) | −37.6042 | − | 15.0221i | −1.24180 | − | 0.496072i | ||||
\(918\) | 4.28477 | + | 3.11307i | 0.141419 | + | 0.102747i | ||||
\(919\) | 3.33336 | − | 31.7148i | 0.109958 | − | 1.04618i | −0.790866 | − | 0.611990i | \(-0.790369\pi\) |
0.900823 | − | 0.434186i | \(-0.142964\pi\) | |||||||
\(920\) | −0.244031 | − | 0.271024i | −0.00804548 | − | 0.00893541i | ||||
\(921\) | −29.1705 | − | 6.20037i | −0.961199 | − | 0.204309i | ||||
\(922\) | 10.5931 | + | 4.71636i | 0.348866 | + | 0.155325i | ||||
\(923\) | −13.8968 | −0.457420 | ||||||||
\(924\) | −1.39216 | − | 8.66383i | −0.0457987 | − | 0.285019i | ||||
\(925\) | −57.4635 | −1.88939 | ||||||||
\(926\) | −5.87050 | − | 2.61371i | −0.192916 | − | 0.0858919i | ||||
\(927\) | 4.39633 | + | 0.934469i | 0.144394 | + | 0.0306920i | ||||
\(928\) | −6.01468 | − | 6.67998i | −0.197442 | − | 0.219281i | ||||
\(929\) | −2.21983 | + | 21.1203i | −0.0728302 | + | 0.692933i | 0.895805 | + | 0.444447i | \(0.146600\pi\) |
−0.968635 | + | 0.248486i | \(0.920067\pi\) | |||||||
\(930\) | 0.821261 | + | 0.596681i | 0.0269302 | + | 0.0195659i | ||||
\(931\) | 4.81240 | + | 7.01552i | 0.157720 | + | 0.229924i | ||||
\(932\) | −2.36128 | − | 7.26727i | −0.0773463 | − | 0.238047i | ||||
\(933\) | 13.6993 | + | 6.09931i | 0.448494 | + | 0.199682i | ||||
\(934\) | 8.59639 | − | 14.8894i | 0.281282 | − | 0.487195i | ||||
\(935\) | 2.29522 | − | 2.63146i | 0.0750618 | − | 0.0860578i | ||||
\(936\) | −1.50824 | − | 2.61234i | −0.0492983 | − | 0.0853872i | ||||
\(937\) | −14.1346 | + | 10.2694i | −0.461758 | + | 0.335487i | −0.794220 | − | 0.607630i | \(-0.792120\pi\) |
0.332463 | + | 0.943116i | \(0.392120\pi\) | |||||||
\(938\) | −11.4143 | + | 40.4030i | −0.372691 | + | 1.31920i | ||||
\(939\) | −2.15391 | + | 6.62907i | −0.0702904 | + | 0.216331i | ||||
\(940\) | −0.259354 | + | 2.46759i | −0.00845919 | + | 0.0804839i | ||||
\(941\) | −43.6821 | + | 19.4485i | −1.42400 | + | 0.634004i | −0.966840 | − | 0.255383i | \(-0.917798\pi\) |
−0.457156 | + | 0.889387i | \(0.651132\pi\) | |||||||
\(942\) | 7.54853 | + | 8.38349i | 0.245944 | + | 0.273149i | ||||
\(943\) | −9.73385 | + | 10.8105i | −0.316978 | + | 0.352040i | ||||
\(944\) | 1.64583 | − | 1.19577i | 0.0535673 | − | 0.0389189i | ||||
\(945\) | −0.0346325 | + | 0.524792i | −0.00112659 | + | 0.0170715i | ||||
\(946\) | 4.07835 | + | 33.6807i | 0.132599 | + | 1.09506i | ||||
\(947\) | −2.00809 | − | 3.47811i | −0.0652541 | − | 0.113023i | 0.831553 | − | 0.555446i | \(-0.187452\pi\) |
−0.896807 | + | 0.442423i | \(0.854119\pi\) | |||||||
\(948\) | −0.851101 | − | 8.09769i | −0.0276425 | − | 0.263001i | ||||
\(949\) | 16.7799 | + | 3.56668i | 0.544700 | + | 0.115779i | ||||
\(950\) | 5.89698 | − | 1.25344i | 0.191323 | − | 0.0406670i | ||||
\(951\) | −8.92094 | − | 6.48144i | −0.289281 | − | 0.210175i | ||||
\(952\) | 13.8092 | + | 2.37921i | 0.447557 | + | 0.0771106i | ||||
\(953\) | −3.30817 | + | 10.1815i | −0.107162 | + | 0.329811i | −0.990232 | − | 0.139431i | \(-0.955473\pi\) |
0.883070 | + | 0.469242i | \(0.155473\pi\) | |||||||
\(954\) | 4.56100 | − | 5.06550i | 0.147668 | − | 0.164002i | ||||
\(955\) | −0.399980 | − | 3.80556i | −0.0129431 | − | 0.123145i | ||||
\(956\) | 2.21593 | − | 3.83811i | 0.0716683 | − | 0.124133i | ||||
\(957\) | 29.8088 | − | 0.470486i | 0.963580 | − | 0.0152087i | ||||
\(958\) | −26.6625 | −0.861427 | ||||||||
\(959\) | −0.132578 | + | 0.251716i | −0.00428117 | + | 0.00812833i | ||||
\(960\) | 0.0614277 | + | 0.189055i | 0.00198257 | + | 0.00610172i | ||||
\(961\) | 4.81392 | − | 1.02323i | 0.155288 | − | 0.0330074i | ||||
\(962\) | 31.9226 | − | 14.2128i | 1.02922 | − | 0.458240i | ||||
\(963\) | −12.5088 | + | 5.56927i | −0.403090 | + | 0.179467i | ||||
\(964\) | 7.24553 | − | 1.54008i | 0.233363 | − | 0.0496028i | ||||
\(965\) | −0.393675 | − | 1.21161i | −0.0126728 | − | 0.0390030i | ||||
\(966\) | 2.58834 | + | 4.10634i | 0.0832785 | + | 0.132119i | ||||
\(967\) | −16.7236 | −0.537796 | −0.268898 | − | 0.963169i | \(-0.586659\pi\) | ||||
−0.268898 | + | 0.963169i | \(0.586659\pi\) | |||||||
\(968\) | 10.8264 | + | 1.94633i | 0.347975 | + | 0.0625573i | ||||
\(969\) | 3.21841 | − | 5.57445i | 0.103390 | − | 0.179077i | ||||
\(970\) | −0.0617676 | − | 0.587680i | −0.00198324 | − | 0.0188693i | ||||
\(971\) | 8.34642 | − | 9.26964i | 0.267849 | − | 0.297477i | −0.594183 | − | 0.804330i | \(-0.702525\pi\) |
0.862033 | + | 0.506853i | \(0.169191\pi\) | |||||||
\(972\) | 0.309017 | − | 0.951057i | 0.00991172 | − | 0.0305052i | ||||
\(973\) | 17.0763 | + | 46.3512i | 0.547442 | + | 1.48595i | ||||
\(974\) | 0.0933297 | + | 0.0678080i | 0.00299048 | + | 0.00217271i | ||||
\(975\) | −14.6362 | + | 3.11102i | −0.468734 | + | 0.0996324i | ||||
\(976\) | 8.77477 | + | 1.86513i | 0.280873 | + | 0.0597015i | ||||
\(977\) | 1.75733 | + | 16.7199i | 0.0562219 | + | 0.534916i | 0.985994 | + | 0.166780i | \(0.0533371\pi\) |
−0.929772 | + | 0.368136i | \(0.879996\pi\) | |||||||
\(978\) | −2.08044 | − | 3.60344i | −0.0665253 | − | 0.115225i | ||||
\(979\) | 9.84478 | − | 17.6907i | 0.314641 | − | 0.565396i | ||||
\(980\) | 0.531349 | + | 1.28604i | 0.0169733 | + | 0.0410812i | ||||
\(981\) | 8.60932 | − | 6.25503i | 0.274874 | − | 0.199708i | ||||
\(982\) | −0.0532261 | + | 0.0591136i | −0.00169851 | + | 0.00188639i | ||||
\(983\) | 27.3160 | + | 30.3375i | 0.871244 | + | 0.967615i | 0.999710 | − | 0.0240991i | \(-0.00767172\pi\) |
−0.128465 | + | 0.991714i | \(0.541005\pi\) | |||||||
\(984\) | 7.24354 | − | 3.22503i | 0.230916 | − | 0.102810i | ||||
\(985\) | 0.125353 | − | 1.19265i | 0.00399407 | − | 0.0380010i | ||||
\(986\) | −14.7114 | + | 45.2770i | −0.468507 | + | 1.44191i | ||||
\(987\) | 8.97818 | − | 31.7798i | 0.285779 | − | 1.01156i | ||||
\(988\) | −2.96592 | + | 2.15486i | −0.0943583 | + | 0.0685553i | ||||
\(989\) | −9.38359 | − | 16.2529i | −0.298381 | − | 0.516811i | ||||
\(990\) | −0.606451 | − | 0.258620i | −0.0192743 | − | 0.00821948i | ||||
\(991\) | −4.13214 | + | 7.15707i | −0.131262 | + | 0.227352i | −0.924163 | − | 0.381998i | \(-0.875236\pi\) |
0.792902 | + | 0.609350i | \(0.208569\pi\) | |||||||
\(992\) | −4.66522 | − | 2.07709i | −0.148121 | − | 0.0659476i | ||||
\(993\) | −1.11706 | − | 3.43795i | −0.0354488 | − | 0.109100i | ||||
\(994\) | −11.3192 | − | 4.52176i | −0.359022 | − | 0.143422i | ||||
\(995\) | 1.89132 | + | 1.37413i | 0.0599590 | + | 0.0435628i | ||||
\(996\) | −1.49879 | + | 14.2601i | −0.0474911 | + | 0.451847i | ||||
\(997\) | 22.8771 | + | 25.4076i | 0.724524 | + | 0.804666i | 0.987076 | − | 0.160252i | \(-0.0512308\pi\) |
−0.262552 | + | 0.964918i | \(0.584564\pi\) | |||||||
\(998\) | −43.2919 | − | 9.20197i | −1.37038 | − | 0.291283i | ||||
\(999\) | 10.5827 | + | 4.71174i | 0.334823 | + | 0.149073i |
(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 | 462.2.y.c.25.3 | ✓ | 40 | |
7.2 | even | 3 | inner | 462.2.y.c.289.3 | yes | 40 | |
11.4 | even | 5 | inner | 462.2.y.c.235.3 | yes | 40 | |
77.37 | even | 15 | inner | 462.2.y.c.37.3 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.y.c.25.3 | ✓ | 40 | 1.1 | even | 1 | trivial | |
462.2.y.c.37.3 | yes | 40 | 77.37 | even | 15 | inner | |
462.2.y.c.235.3 | yes | 40 | 11.4 | even | 5 | inner | |
462.2.y.c.289.3 | yes | 40 | 7.2 | even | 3 | inner |