Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(79,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.v (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.59326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 79.28 | ||
Character | \(\chi\) | \(=\) | 450.79 |
Dual form | 450.2.v.a.319.28 |
$q$-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 \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.743145 | − | 0.669131i | 0.525483 | − | 0.473147i | ||||
\(3\) | 1.67230 | + | 0.451013i | 0.965503 | + | 0.260393i | ||||
\(4\) | 0.104528 | − | 0.994522i | 0.0522642 | − | 0.497261i | ||||
\(5\) | 2.14390 | − | 0.635362i | 0.958782 | − | 0.284143i | ||||
\(6\) | 1.54455 | − | 0.783819i | 0.630559 | − | 0.319993i | ||||
\(7\) | −2.49058 | − | 1.43794i | −0.941350 | − | 0.543489i | −0.0509670 | − | 0.998700i | \(-0.516230\pi\) |
−0.890383 | + | 0.455211i | \(0.849564\pi\) | |||||||
\(8\) | −0.587785 | − | 0.809017i | −0.207813 | − | 0.286031i | ||||
\(9\) | 2.59317 | + | 1.50846i | 0.864391 | + | 0.502819i | ||||
\(10\) | 1.16809 | − | 1.90672i | 0.369382 | − | 0.602957i | ||||
\(11\) | 3.62627 | + | 4.02738i | 1.09336 | + | 1.21430i | 0.975204 | + | 0.221307i | \(0.0710324\pi\) |
0.118158 | + | 0.992995i | \(0.462301\pi\) | |||||||
\(12\) | 0.623345 | − | 1.61600i | 0.179944 | − | 0.466498i | ||||
\(13\) | −1.92594 | − | 1.73413i | −0.534160 | − | 0.480960i | 0.357344 | − | 0.933973i | \(-0.383682\pi\) |
−0.891504 | + | 0.453013i | \(0.850349\pi\) | |||||||
\(14\) | −2.81303 | + | 0.597928i | −0.751813 | + | 0.159803i | ||||
\(15\) | 3.87180 | − | 0.0955883i | 0.999695 | − | 0.0246808i | ||||
\(16\) | −0.978148 | − | 0.207912i | −0.244537 | − | 0.0519779i | ||||
\(17\) | −1.80748 | − | 2.48778i | −0.438378 | − | 0.603376i | 0.531472 | − | 0.847076i | \(-0.321639\pi\) |
−0.969851 | + | 0.243699i | \(0.921639\pi\) | |||||||
\(18\) | 2.93646 | − | 0.614169i | 0.692130 | − | 0.144761i | ||||
\(19\) | −4.37513 | + | 3.17872i | −1.00372 | + | 0.729247i | −0.962883 | − | 0.269918i | \(-0.913003\pi\) |
−0.0408396 | + | 0.999166i | \(0.513003\pi\) | |||||||
\(20\) | −0.407783 | − | 2.19857i | −0.0911830 | − | 0.491615i | ||||
\(21\) | −3.51647 | − | 3.52794i | −0.767356 | − | 0.769861i | ||||
\(22\) | 5.38969 | + | 0.566479i | 1.14909 | + | 0.120774i | ||||
\(23\) | −1.05825 | − | 4.97867i | −0.220660 | − | 1.03813i | −0.939394 | − | 0.342840i | \(-0.888611\pi\) |
0.718734 | − | 0.695286i | \(-0.244722\pi\) | |||||||
\(24\) | −0.618076 | − | 1.61802i | −0.126164 | − | 0.330277i | ||||
\(25\) | 4.19263 | − | 2.72431i | 0.838526 | − | 0.544862i | ||||
\(26\) | −2.59161 | −0.508256 | ||||||||
\(27\) | 3.65623 | + | 3.69215i | 0.703642 | + | 0.710555i | ||||
\(28\) | −1.69040 | + | 2.32663i | −0.319455 | + | 0.439692i | ||||
\(29\) | −7.34106 | + | 3.26845i | −1.36320 | + | 0.606936i | −0.952417 | − | 0.304797i | \(-0.901411\pi\) |
−0.410783 | + | 0.911733i | \(0.634745\pi\) | |||||||
\(30\) | 2.81335 | − | 2.66178i | 0.513645 | − | 0.485972i | ||||
\(31\) | 9.17749 | + | 4.08608i | 1.64833 | + | 0.733882i | 0.999631 | − | 0.0271667i | \(-0.00864849\pi\) |
0.648695 | + | 0.761049i | \(0.275315\pi\) | |||||||
\(32\) | −0.866025 | + | 0.500000i | −0.153093 | + | 0.0883883i | ||||
\(33\) | 4.24781 | + | 8.37049i | 0.739449 | + | 1.45712i | ||||
\(34\) | −3.00787 | − | 0.639343i | −0.515846 | − | 0.109646i | ||||
\(35\) | −6.25317 | − | 1.50037i | −1.05698 | − | 0.253610i | ||||
\(36\) | 1.77126 | − | 2.42129i | 0.295209 | − | 0.403549i | ||||
\(37\) | −5.78953 | + | 1.88113i | −0.951792 | + | 0.309256i | −0.743444 | − | 0.668799i | \(-0.766809\pi\) |
−0.208349 | + | 0.978055i | \(0.566809\pi\) | |||||||
\(38\) | −1.12438 | + | 5.28978i | −0.182398 | + | 0.858115i | ||||
\(39\) | −2.43864 | − | 3.76860i | −0.390495 | − | 0.603459i | ||||
\(40\) | −1.77417 | − | 1.36100i | −0.280521 | − | 0.215192i | ||||
\(41\) | −1.46891 | + | 1.63139i | −0.229405 | + | 0.254780i | −0.846847 | − | 0.531836i | \(-0.821502\pi\) |
0.617442 | + | 0.786616i | \(0.288169\pi\) | |||||||
\(42\) | −4.97390 | − | 0.268798i | −0.767489 | − | 0.0414765i | ||||
\(43\) | 5.97220 | + | 3.44805i | 0.910752 | + | 0.525823i | 0.880673 | − | 0.473724i | \(-0.157091\pi\) |
0.0300792 | + | 0.999548i | \(0.490424\pi\) | |||||||
\(44\) | 4.38437 | − | 3.18543i | 0.660969 | − | 0.480222i | ||||
\(45\) | 6.51793 | + | 1.58638i | 0.971635 | + | 0.236484i | ||||
\(46\) | −4.11782 | − | 2.99177i | −0.607139 | − | 0.441112i | ||||
\(47\) | −0.616643 | − | 1.38500i | −0.0899467 | − | 0.202024i | 0.862970 | − | 0.505254i | \(-0.168601\pi\) |
−0.952917 | + | 0.303231i | \(0.901935\pi\) | |||||||
\(48\) | −1.54199 | − | 0.788848i | −0.222566 | − | 0.113860i | ||||
\(49\) | 0.635322 | + | 1.10041i | 0.0907603 | + | 0.157201i | ||||
\(50\) | 1.29281 | − | 4.82997i | 0.182831 | − | 0.683061i | ||||
\(51\) | −1.90063 | − | 4.97552i | −0.266141 | − | 0.696712i | ||||
\(52\) | −1.92594 | + | 1.73413i | −0.267080 | + | 0.240480i | ||||
\(53\) | −2.16528 | + | 2.98025i | −0.297424 | + | 0.409369i | −0.931408 | − | 0.363977i | \(-0.881419\pi\) |
0.633984 | + | 0.773346i | \(0.281419\pi\) | |||||||
\(54\) | 5.18764 | + | 0.297307i | 0.705948 | + | 0.0404583i | ||||
\(55\) | 10.3332 | + | 6.33032i | 1.39333 | + | 0.853580i | ||||
\(56\) | 0.300611 | + | 2.86012i | 0.0401708 | + | 0.382199i | ||||
\(57\) | −8.75017 | + | 3.34253i | −1.15899 | + | 0.442728i | ||||
\(58\) | −3.26845 | + | 7.34106i | −0.429169 | + | 0.963928i | ||||
\(59\) | 4.67849 | − | 5.19598i | 0.609087 | − | 0.676459i | −0.357170 | − | 0.934039i | \(-0.616258\pi\) |
0.966257 | + | 0.257580i | \(0.0829250\pi\) | |||||||
\(60\) | 0.309649 | − | 3.86059i | 0.0399755 | − | 0.498399i | ||||
\(61\) | −7.22967 | − | 8.02936i | −0.925665 | − | 1.02805i | −0.999526 | − | 0.0307861i | \(-0.990199\pi\) |
0.0738614 | − | 0.997269i | \(-0.476468\pi\) | |||||||
\(62\) | 9.55433 | − | 3.10439i | 1.21340 | − | 0.394258i | ||||
\(63\) | −4.28944 | − | 7.48575i | −0.540418 | − | 0.943116i | ||||
\(64\) | −0.309017 | + | 0.951057i | −0.0386271 | + | 0.118882i | ||||
\(65\) | −5.23083 | − | 2.49412i | −0.648804 | − | 0.309358i | ||||
\(66\) | 8.75769 | + | 3.37815i | 1.07800 | + | 0.415821i | ||||
\(67\) | −3.06550 | + | 6.88522i | −0.374510 | + | 0.841164i | 0.623717 | + | 0.781650i | \(0.285622\pi\) |
−0.998227 | + | 0.0595138i | \(0.981045\pi\) | |||||||
\(68\) | −2.66309 | + | 1.53753i | −0.322947 | + | 0.186453i | ||||
\(69\) | 0.475736 | − | 8.80312i | 0.0572719 | − | 1.05977i | ||||
\(70\) | −5.65096 | + | 3.06919i | −0.675418 | + | 0.366838i | ||||
\(71\) | −5.18634 | − | 3.76809i | −0.615505 | − | 0.447191i | 0.235844 | − | 0.971791i | \(-0.424215\pi\) |
−0.851349 | + | 0.524600i | \(0.824215\pi\) | |||||||
\(72\) | −0.303861 | − | 2.98457i | −0.0358104 | − | 0.351735i | ||||
\(73\) | 7.65111 | + | 2.48599i | 0.895494 | + | 0.290964i | 0.720376 | − | 0.693584i | \(-0.243969\pi\) |
0.175118 | + | 0.984547i | \(0.443969\pi\) | |||||||
\(74\) | −3.04373 | + | 5.27190i | −0.353827 | + | 0.612846i | ||||
\(75\) | 8.24003 | − | 2.66493i | 0.951477 | − | 0.307720i | ||||
\(76\) | 2.70398 | + | 4.68343i | 0.310167 | + | 0.537226i | ||||
\(77\) | −3.24040 | − | 15.2449i | −0.369277 | − | 1.73731i | ||||
\(78\) | −4.33395 | − | 1.16885i | −0.490723 | − | 0.132346i | ||||
\(79\) | −8.71763 | + | 3.88134i | −0.980810 | + | 0.436685i | −0.833569 | − | 0.552416i | \(-0.813706\pi\) |
−0.147241 | + | 0.989101i | \(0.547039\pi\) | |||||||
\(80\) | −2.22915 | + | 0.175736i | −0.249227 | + | 0.0196478i | ||||
\(81\) | 4.44911 | + | 7.82339i | 0.494345 | + | 0.869266i | ||||
\(82\) | 2.19525i | 0.242425i | ||||||||
\(83\) | −6.87710 | + | 0.722812i | −0.754860 | + | 0.0793390i | −0.474138 | − | 0.880450i | \(-0.657240\pi\) |
−0.280721 | + | 0.959789i | \(0.590574\pi\) | |||||||
\(84\) | −3.87619 | + | 3.12843i | −0.422927 | + | 0.341340i | ||||
\(85\) | −5.45570 | − | 4.18516i | −0.591754 | − | 0.453944i | ||||
\(86\) | 6.74541 | − | 1.43378i | 0.727376 | − | 0.154609i | ||||
\(87\) | −13.7506 | + | 2.15492i | −1.47422 | + | 0.231031i | ||||
\(88\) | 1.12675 | − | 5.30095i | 0.120112 | − | 0.565084i | ||||
\(89\) | −3.98923 | + | 12.2776i | −0.422858 | + | 1.30142i | 0.482173 | + | 0.876076i | \(0.339848\pi\) |
−0.905031 | + | 0.425346i | \(0.860152\pi\) | |||||||
\(90\) | 5.90526 | − | 3.18243i | 0.622469 | − | 0.335458i | ||||
\(91\) | 2.30315 | + | 7.08836i | 0.241435 | + | 0.743062i | ||||
\(92\) | −5.06202 | + | 0.532039i | −0.527752 | + | 0.0554689i | ||||
\(93\) | 13.5046 | + | 10.9723i | 1.40037 | + | 1.13778i | ||||
\(94\) | −1.38500 | − | 0.616643i | −0.142852 | − | 0.0636019i | ||||
\(95\) | −7.36021 | + | 9.59464i | −0.755141 | + | 0.984390i | ||||
\(96\) | −1.67376 | + | 0.445561i | −0.170827 | + | 0.0454749i | ||||
\(97\) | 1.56268 | + | 3.50983i | 0.158666 | + | 0.356369i | 0.975333 | − | 0.220740i | \(-0.0708472\pi\) |
−0.816667 | + | 0.577109i | \(0.804181\pi\) | |||||||
\(98\) | 1.20845 | + | 0.392651i | 0.122072 | + | 0.0396637i | ||||
\(99\) | 3.32842 | + | 15.9138i | 0.334518 | + | 1.59940i | ||||
\(100\) | −2.27113 | − | 4.45443i | −0.227113 | − | 0.445443i | ||||
\(101\) | −0.417803 | + | 0.723656i | −0.0415729 | + | 0.0720064i | −0.886063 | − | 0.463565i | \(-0.846570\pi\) |
0.844490 | + | 0.535571i | \(0.179904\pi\) | |||||||
\(102\) | −4.74171 | − | 2.42576i | −0.469499 | − | 0.240186i | ||||
\(103\) | 13.2624 | + | 1.39393i | 1.30678 | + | 0.137348i | 0.732195 | − | 0.681095i | \(-0.238496\pi\) |
0.574587 | + | 0.818443i | \(0.305163\pi\) | |||||||
\(104\) | −0.270897 | + | 2.57741i | −0.0265636 | + | 0.252736i | ||||
\(105\) | −9.78048 | − | 5.32934i | −0.954477 | − | 0.520090i | ||||
\(106\) | 0.385062 | + | 3.66362i | 0.0374005 | + | 0.355842i | ||||
\(107\) | − | 9.67624i | − | 0.935437i | −0.883877 | − | 0.467719i | \(-0.845076\pi\) | ||
0.883877 | − | 0.467719i | \(-0.154924\pi\) | |||||||
\(108\) | 4.05410 | − | 3.25027i | 0.390106 | − | 0.312757i | ||||
\(109\) | −2.74187 | − | 8.43859i | −0.262623 | − | 0.808271i | −0.992231 | − | 0.124405i | \(-0.960298\pi\) |
0.729608 | − | 0.683865i | \(-0.239702\pi\) | |||||||
\(110\) | 11.9149 | − | 2.20993i | 1.13604 | − | 0.210709i | ||||
\(111\) | −10.5302 | + | 0.534663i | −0.999486 | + | 0.0507480i | ||||
\(112\) | 2.13719 | + | 1.92433i | 0.201945 | + | 0.181833i | ||||
\(113\) | 0.646875 | + | 0.582449i | 0.0608529 | + | 0.0547922i | 0.698996 | − | 0.715126i | \(-0.253631\pi\) |
−0.638143 | + | 0.769918i | \(0.720297\pi\) | |||||||
\(114\) | −4.26605 | + | 8.33899i | −0.399553 | + | 0.781018i | ||||
\(115\) | −5.43204 | − | 10.0014i | −0.506541 | − | 0.932637i | ||||
\(116\) | 2.48320 | + | 7.64249i | 0.230559 | + | 0.709587i | ||||
\(117\) | −2.37845 | − | 7.40209i | −0.219887 | − | 0.684324i | ||||
\(118\) | − | 6.99189i | − | 0.643655i | ||||||
\(119\) | 0.924398 | + | 8.79506i | 0.0847395 | + | 0.806242i | ||||
\(120\) | −2.35312 | − | 3.07617i | −0.214810 | − | 0.280815i | ||||
\(121\) | −1.92015 | + | 18.2690i | −0.174559 | + | 1.66082i | ||||
\(122\) | −10.7454 | − | 1.12939i | −0.972842 | − | 0.102250i | ||||
\(123\) | −3.19223 | + | 2.06567i | −0.287834 | + | 0.186255i | ||||
\(124\) | 5.02301 | − | 8.70010i | 0.451079 | − | 0.781292i | ||||
\(125\) | 7.25766 | − | 8.50449i | 0.649145 | − | 0.760664i | ||||
\(126\) | −8.19662 | − | 2.69281i | −0.730213 | − | 0.239894i | ||||
\(127\) | 6.25677 | + | 2.03295i | 0.555198 | + | 0.180395i | 0.573159 | − | 0.819444i | \(-0.305718\pi\) |
−0.0179612 | + | 0.999839i | \(0.505718\pi\) | |||||||
\(128\) | 0.406737 | + | 0.913545i | 0.0359508 | + | 0.0807468i | ||||
\(129\) | 8.43220 | + | 8.45972i | 0.742414 | + | 0.744837i | ||||
\(130\) | −5.55616 | + | 1.64661i | −0.487307 | + | 0.144417i | ||||
\(131\) | −3.52578 | − | 1.56978i | −0.308048 | − | 0.137152i | 0.246890 | − | 0.969044i | \(-0.420591\pi\) |
−0.554938 | + | 0.831892i | \(0.687258\pi\) | |||||||
\(132\) | 8.76865 | − | 3.34959i | 0.763213 | − | 0.291544i | ||||
\(133\) | 15.4674 | − | 1.62569i | 1.34119 | − | 0.140965i | ||||
\(134\) | 2.32900 | + | 7.16794i | 0.201195 | + | 0.619216i | ||||
\(135\) | 10.1845 | + | 5.59258i | 0.876538 | + | 0.481332i | ||||
\(136\) | −0.950249 | + | 2.92457i | −0.0814832 | + | 0.250779i | ||||
\(137\) | 4.22346 | − | 19.8698i | 0.360835 | − | 1.69759i | −0.305706 | − | 0.952126i | \(-0.598892\pi\) |
0.666541 | − | 0.745469i | \(-0.267774\pi\) | |||||||
\(138\) | −5.53690 | − | 6.86032i | −0.471332 | − | 0.583989i | ||||
\(139\) | 21.8142 | − | 4.63675i | 1.85026 | − | 0.393284i | 0.857606 | − | 0.514307i | \(-0.171951\pi\) |
0.992650 | + | 0.121023i | \(0.0386174\pi\) | |||||||
\(140\) | −2.14579 | + | 6.06208i | −0.181352 | + | 0.512339i | ||||
\(141\) | −0.406558 | − | 2.59426i | −0.0342383 | − | 0.218476i | ||||
\(142\) | −6.37555 | + | 0.670097i | −0.535024 | + | 0.0562333i | ||||
\(143\) | − | 14.0449i | − | 1.17449i | ||||||
\(144\) | −2.22288 | − | 2.01465i | −0.185240 | − | 0.167887i | ||||
\(145\) | −13.6619 | + | 11.6715i | −1.13456 | + | 0.969263i | ||||
\(146\) | 7.34933 | − | 3.27213i | 0.608235 | − | 0.270804i | ||||
\(147\) | 0.566150 | + | 2.12675i | 0.0466952 | + | 0.175412i | ||||
\(148\) | 1.26566 | + | 5.95444i | 0.104036 | + | 0.489452i | ||||
\(149\) | −1.08674 | − | 1.88229i | −0.0890295 | − | 0.154204i | 0.818072 | − | 0.575116i | \(-0.195043\pi\) |
−0.907101 | + | 0.420913i | \(0.861710\pi\) | |||||||
\(150\) | 4.34035 | − | 7.49409i | 0.354388 | − | 0.611890i | ||||
\(151\) | −0.643836 | + | 1.11516i | −0.0523946 | + | 0.0907502i | −0.891033 | − | 0.453938i | \(-0.850019\pi\) |
0.838639 | + | 0.544688i | \(0.183352\pi\) | |||||||
\(152\) | 5.14327 | + | 1.67115i | 0.417174 | + | 0.135548i | ||||
\(153\) | −0.934394 | − | 9.17777i | −0.0755413 | − | 0.741978i | ||||
\(154\) | −12.6089 | − | 9.16090i | −1.01605 | − | 0.738206i | ||||
\(155\) | 22.2718 | + | 2.92913i | 1.78891 | + | 0.235273i | ||||
\(156\) | −4.00286 | + | 2.03135i | −0.320486 | + | 0.162638i | ||||
\(157\) | −7.04022 | + | 4.06467i | −0.561871 | + | 0.324396i | −0.753896 | − | 0.656994i | \(-0.771828\pi\) |
0.192025 | + | 0.981390i | \(0.438494\pi\) | |||||||
\(158\) | −3.88134 | + | 8.71763i | −0.308783 | + | 0.693537i | ||||
\(159\) | −4.96513 | + | 4.00731i | −0.393761 | + | 0.317800i | ||||
\(160\) | −1.53899 | + | 1.62219i | −0.121668 | + | 0.128245i | ||||
\(161\) | −4.52336 | + | 13.9215i | −0.356491 | + | 1.09717i | ||||
\(162\) | 8.54120 | + | 2.83688i | 0.671060 | + | 0.222886i | ||||
\(163\) | −19.9815 | + | 6.49238i | −1.56507 | + | 0.508523i | −0.958157 | − | 0.286244i | \(-0.907593\pi\) |
−0.606915 | + | 0.794766i | \(0.707593\pi\) | |||||||
\(164\) | 1.46891 | + | 1.63139i | 0.114702 | + | 0.127390i | ||||
\(165\) | 14.4252 | + | 15.2466i | 1.12300 | + | 1.18695i | ||||
\(166\) | −4.62703 | + | 5.13883i | −0.359127 | + | 0.398851i | ||||
\(167\) | −4.34664 | + | 9.76272i | −0.336353 | + | 0.755462i | 0.663619 | + | 0.748070i | \(0.269019\pi\) |
−0.999973 | + | 0.00739156i | \(0.997647\pi\) | |||||||
\(168\) | −0.787240 | + | 4.91856i | −0.0607369 | + | 0.379475i | ||||
\(169\) | −0.656811 | − | 6.24914i | −0.0505239 | − | 0.480703i | ||||
\(170\) | −6.85480 | + | 0.540400i | −0.525739 | + | 0.0414468i | ||||
\(171\) | −16.1404 | + | 1.64327i | −1.23429 | + | 0.125664i | ||||
\(172\) | 4.05343 | − | 5.57907i | 0.309071 | − | 0.425400i | ||||
\(173\) | 3.55845 | − | 3.20404i | 0.270544 | − | 0.243599i | −0.522680 | − | 0.852529i | \(-0.675068\pi\) |
0.793224 | + | 0.608930i | \(0.208401\pi\) | |||||||
\(174\) | −8.77674 | + | 10.8023i | −0.665363 | + | 0.818923i | ||||
\(175\) | −14.3595 | + | 0.756369i | −1.08547 | + | 0.0571761i | ||||
\(176\) | −2.70969 | − | 4.69332i | −0.204251 | − | 0.353772i | ||||
\(177\) | 10.1673 | − | 6.57919i | 0.764220 | − | 0.494522i | ||||
\(178\) | 5.25074 | + | 11.7933i | 0.393559 | + | 0.883949i | ||||
\(179\) | −15.4863 | − | 11.2515i | −1.15750 | − | 0.840973i | −0.168041 | − | 0.985780i | \(-0.553744\pi\) |
−0.989460 | + | 0.144807i | \(0.953744\pi\) | |||||||
\(180\) | 2.25900 | − | 6.31640i | 0.168376 | − | 0.470797i | ||||
\(181\) | −7.80740 | + | 5.67241i | −0.580319 | + | 0.421627i | −0.838839 | − | 0.544379i | \(-0.816765\pi\) |
0.258520 | + | 0.966006i | \(0.416765\pi\) | |||||||
\(182\) | 6.45461 | + | 3.72657i | 0.478447 | + | 0.276232i | ||||
\(183\) | −8.46883 | − | 16.6882i | −0.626034 | − | 1.23363i | ||||
\(184\) | −3.40581 | + | 3.78253i | −0.251080 | + | 0.278852i | ||||
\(185\) | −11.2170 | + | 7.71141i | −0.824688 | + | 0.566954i | ||||
\(186\) | 17.3778 | − | 0.882343i | 1.27420 | − | 0.0646965i | ||||
\(187\) | 3.46484 | − | 16.3008i | 0.253374 | − | 1.19203i | ||||
\(188\) | −1.44187 | + | 0.468493i | −0.105159 | + | 0.0341684i | ||||
\(189\) | −3.79705 | − | 14.4530i | −0.276195 | − | 1.05130i | ||||
\(190\) | 0.950371 | + | 12.0551i | 0.0689471 | + | 0.874572i | ||||
\(191\) | 16.8509 | + | 3.58176i | 1.21928 | + | 0.259167i | 0.772232 | − | 0.635341i | \(-0.219140\pi\) |
0.447053 | + | 0.894508i | \(0.352474\pi\) | |||||||
\(192\) | −0.945708 | + | 1.45108i | −0.0682506 | + | 0.104723i | ||||
\(193\) | 13.4370 | − | 7.75785i | 0.967215 | − | 0.558422i | 0.0688291 | − | 0.997628i | \(-0.478074\pi\) |
0.898386 | + | 0.439206i | \(0.144740\pi\) | |||||||
\(194\) | 3.50983 | + | 1.56268i | 0.251991 | + | 0.112194i | ||||
\(195\) | −7.62263 | − | 6.53010i | −0.545868 | − | 0.467630i | ||||
\(196\) | 1.16079 | − | 0.516818i | 0.0829137 | − | 0.0369155i | ||||
\(197\) | 5.29297 | − | 7.28515i | 0.377108 | − | 0.519045i | −0.577707 | − | 0.816244i | \(-0.696052\pi\) |
0.954816 | + | 0.297199i | \(0.0960525\pi\) | |||||||
\(198\) | 13.1219 | + | 9.59911i | 0.932533 | + | 0.682179i | ||||
\(199\) | 13.4883 | 0.956160 | 0.478080 | − | 0.878316i | \(-0.341333\pi\) | ||||
0.478080 | + | 0.878316i | \(0.341333\pi\) | |||||||
\(200\) | −4.66838 | − | 1.79060i | −0.330104 | − | 0.126615i | ||||
\(201\) | −8.23176 | + | 10.1316i | −0.580624 | + | 0.714626i | ||||
\(202\) | 0.173732 | + | 0.817346i | 0.0122238 | + | 0.0575082i | ||||
\(203\) | 22.9833 | + | 2.41564i | 1.61311 | + | 0.169545i | ||||
\(204\) | −5.14693 | + | 1.37013i | −0.360357 | + | 0.0959284i | ||||
\(205\) | −2.11267 | + | 4.43082i | −0.147555 | + | 0.309462i | ||||
\(206\) | 10.7886 | − | 7.83838i | 0.751678 | − | 0.546126i | ||||
\(207\) | 4.76590 | − | 14.5069i | 0.331253 | − | 1.00830i | ||||
\(208\) | 1.52331 | + | 2.09666i | 0.105623 | + | 0.145377i | ||||
\(209\) | −28.6673 | − | 6.09343i | −1.98296 | − | 0.421491i | ||||
\(210\) | −10.8343 | + | 2.58395i | −0.747640 | + | 0.178310i | ||||
\(211\) | 10.1449 | − | 2.15636i | 0.698402 | − | 0.148450i | 0.154990 | − | 0.987916i | \(-0.450466\pi\) |
0.543412 | + | 0.839466i | \(0.317132\pi\) | |||||||
\(212\) | 2.73759 | + | 2.46494i | 0.188019 | + | 0.169293i | ||||
\(213\) | −6.97365 | − | 8.64049i | −0.477827 | − | 0.592037i | ||||
\(214\) | −6.47467 | − | 7.19084i | −0.442599 | − | 0.491556i | ||||
\(215\) | 14.9946 | + | 3.59778i | 1.02262 | + | 0.245366i | ||||
\(216\) | 0.837934 | − | 5.12814i | 0.0570142 | − | 0.348926i | ||||
\(217\) | −16.9817 | − | 23.3734i | −1.15280 | − | 1.58669i | ||||
\(218\) | −7.68412 | − | 4.43643i | −0.520435 | − | 0.300473i | ||||
\(219\) | 11.6737 | + | 7.60808i | 0.788837 | + | 0.514106i | ||||
\(220\) | 7.37576 | − | 9.61492i | 0.497273 | − | 0.648237i | ||||
\(221\) | −0.833027 | + | 7.92572i | −0.0560355 | + | 0.533142i | ||||
\(222\) | −7.46773 | + | 7.44344i | −0.501201 | + | 0.499571i | ||||
\(223\) | 5.81180 | − | 5.23296i | 0.389187 | − | 0.350425i | −0.451190 | − | 0.892428i | \(-0.649000\pi\) |
0.840377 | + | 0.542003i | \(0.182334\pi\) | |||||||
\(224\) | 2.87587 | 0.192152 | ||||||||
\(225\) | 14.9817 | − | 0.740198i | 0.998782 | − | 0.0493465i | ||||
\(226\) | 0.870457 | 0.0579019 | ||||||||
\(227\) | 10.1504 | − | 9.13942i | 0.673703 | − | 0.606605i | −0.259591 | − | 0.965719i | \(-0.583588\pi\) |
0.933294 | + | 0.359114i | \(0.116921\pi\) | |||||||
\(228\) | 2.40957 | + | 9.05162i | 0.159578 | + | 0.599458i | ||||
\(229\) | 2.29829 | − | 21.8667i | 0.151875 | − | 1.44499i | −0.607489 | − | 0.794328i | \(-0.707823\pi\) |
0.759364 | − | 0.650666i | \(-0.225510\pi\) | |||||||
\(230\) | −10.7290 | − | 3.79775i | −0.707453 | − | 0.250416i | ||||
\(231\) | 1.45672 | − | 26.9555i | 0.0958451 | − | 1.77354i | ||||
\(232\) | 6.95920 | + | 4.01789i | 0.456894 | + | 0.263788i | ||||
\(233\) | −9.08372 | − | 12.5027i | −0.595095 | − | 0.819077i | 0.400154 | − | 0.916448i | \(-0.368957\pi\) |
−0.995248 | + | 0.0973706i | \(0.968957\pi\) | |||||||
\(234\) | −6.72050 | − | 3.90934i | −0.439333 | − | 0.255561i | ||||
\(235\) | −2.20200 | − | 2.57752i | −0.143643 | − | 0.168139i | ||||
\(236\) | −4.67849 | − | 5.19598i | −0.304543 | − | 0.338230i | ||||
\(237\) | −16.3290 | + | 2.55900i | −1.06068 | + | 0.166225i | ||||
\(238\) | 6.57201 | + | 5.91746i | 0.426000 | + | 0.383572i | ||||
\(239\) | 27.9211 | − | 5.93482i | 1.80607 | − | 0.383892i | 0.823134 | − | 0.567847i | \(-0.192224\pi\) |
0.982935 | + | 0.183955i | \(0.0588902\pi\) | |||||||
\(240\) | −3.80707 | − | 0.711494i | −0.245745 | − | 0.0459267i | ||||
\(241\) | 8.25753 | + | 1.75519i | 0.531914 | + | 0.113062i | 0.466036 | − | 0.884766i | \(-0.345682\pi\) |
0.0658784 | + | 0.997828i | \(0.479015\pi\) | |||||||
\(242\) | 10.7974 | + | 14.8614i | 0.694085 | + | 0.955326i | ||||
\(243\) | 3.91179 | + | 15.0897i | 0.250941 | + | 0.968002i | ||||
\(244\) | −8.74108 | + | 6.35077i | −0.559591 | + | 0.406566i | ||||
\(245\) | 2.06123 | + | 1.95551i | 0.131687 | + | 0.124933i | ||||
\(246\) | −0.990085 | + | 3.67111i | −0.0631255 | + | 0.234062i | ||||
\(247\) | 13.9385 | + | 1.46500i | 0.886887 | + | 0.0932156i | ||||
\(248\) | −2.08868 | − | 9.82648i | −0.132632 | − | 0.623982i | ||||
\(249\) | −11.8266 | − | 1.89290i | −0.749479 | − | 0.119958i | ||||
\(250\) | −0.297117 | − | 11.1764i | −0.0187913 | − | 0.706857i | ||||
\(251\) | −5.76489 | −0.363877 | −0.181938 | − | 0.983310i | \(-0.558237\pi\) | ||||
−0.181938 | + | 0.983310i | \(0.558237\pi\) | |||||||
\(252\) | −7.89312 | + | 3.48347i | −0.497220 | + | 0.219438i | ||||
\(253\) | 16.2135 | − | 22.3160i | 1.01934 | − | 1.40300i | ||||
\(254\) | 6.00999 | − | 2.67582i | 0.377100 | − | 0.167896i | ||||
\(255\) | −7.23601 | − | 9.45944i | −0.453137 | − | 0.592373i | ||||
\(256\) | 0.913545 | + | 0.406737i | 0.0570966 | + | 0.0254210i | ||||
\(257\) | −2.61907 | + | 1.51212i | −0.163373 | + | 0.0943237i | −0.579457 | − | 0.815002i | \(-0.696736\pi\) |
0.416084 | + | 0.909326i | \(0.363402\pi\) | |||||||
\(258\) | 11.9270 | + | 0.644556i | 0.742543 | + | 0.0401283i | ||||
\(259\) | 17.1242 | + | 3.63986i | 1.06405 | + | 0.226170i | ||||
\(260\) | −3.02723 | + | 4.94146i | −0.187741 | + | 0.306457i | ||||
\(261\) | −23.9670 | − | 2.59802i | −1.48352 | − | 0.160813i | ||||
\(262\) | −3.67055 | + | 1.19263i | −0.226767 | + | 0.0736811i | ||||
\(263\) | 3.52000 | − | 16.5603i | 0.217052 | − | 1.02115i | −0.725791 | − | 0.687915i | \(-0.758526\pi\) |
0.942844 | − | 0.333236i | \(-0.108140\pi\) | |||||||
\(264\) | 4.27507 | − | 8.35660i | 0.263112 | − | 0.514313i | ||||
\(265\) | −2.74861 | + | 7.76511i | −0.168846 | + | 0.477007i | ||||
\(266\) | 10.4067 | − | 11.5578i | 0.638076 | − | 0.708656i | ||||
\(267\) | −12.2085 | + | 18.7326i | −0.747151 | + | 1.14642i | ||||
\(268\) | 6.52707 | + | 3.76841i | 0.398704 | + | 0.230192i | ||||
\(269\) | 0.927129 | − | 0.673599i | 0.0565281 | − | 0.0410700i | −0.559162 | − | 0.829058i | \(-0.688877\pi\) |
0.615690 | + | 0.787988i | \(0.288877\pi\) | |||||||
\(270\) | 11.3107 | − | 2.65863i | 0.688347 | − | 0.161799i | ||||
\(271\) | 4.48685 | + | 3.25989i | 0.272557 | + | 0.198024i | 0.715664 | − | 0.698444i | \(-0.246124\pi\) |
−0.443108 | + | 0.896468i | \(0.646124\pi\) | |||||||
\(272\) | 1.25074 | + | 2.80922i | 0.0758375 | + | 0.170334i | ||||
\(273\) | 0.654610 | + | 12.8926i | 0.0396188 | + | 0.780296i | ||||
\(274\) | −10.1569 | − | 17.5922i | −0.613599 | − | 1.06278i | ||||
\(275\) | 26.1755 | + | 7.00625i | 1.57844 | + | 0.422493i | ||||
\(276\) | −8.70517 | − | 1.39331i | −0.523990 | − | 0.0838672i | ||||
\(277\) | −1.37678 | + | 1.23966i | −0.0827228 | + | 0.0744839i | −0.709455 | − | 0.704751i | \(-0.751059\pi\) |
0.626732 | + | 0.779235i | \(0.284392\pi\) | |||||||
\(278\) | 13.1085 | − | 18.0423i | 0.786196 | − | 1.08211i | ||||
\(279\) | 17.6351 | + | 24.4398i | 1.05579 | + | 1.46317i | ||||
\(280\) | 2.46169 | + | 5.94082i | 0.147114 | + | 0.355032i | ||||
\(281\) | 0.509301 | + | 4.84567i | 0.0303823 | + | 0.289069i | 0.999154 | + | 0.0411156i | \(0.0130912\pi\) |
−0.968772 | + | 0.247953i | \(0.920242\pi\) | |||||||
\(282\) | −2.03803 | − | 1.65587i | −0.121363 | − | 0.0986054i | ||||
\(283\) | 4.49515 | − | 10.0963i | 0.267209 | − | 0.600161i | −0.729250 | − | 0.684248i | \(-0.760131\pi\) |
0.996458 | + | 0.0840871i | \(0.0267974\pi\) | |||||||
\(284\) | −4.28957 | + | 4.76405i | −0.254539 | + | 0.282695i | ||||
\(285\) | −16.6358 | + | 12.7256i | −0.985419 | + | 0.753798i | ||||
\(286\) | −9.39788 | − | 10.4374i | −0.555709 | − | 0.617177i | ||||
\(287\) | 6.00426 | − | 1.95090i | 0.354420 | − | 0.115158i | ||||
\(288\) | −2.99998 | − | 0.00977610i | −0.176776 | − | 0.000576062i | ||||
\(289\) | 2.33121 | − | 7.17472i | 0.137130 | − | 0.422042i | ||||
\(290\) | −2.34300 | + | 17.8152i | −0.137586 | + | 1.04614i | ||||
\(291\) | 1.03029 | + | 6.57428i | 0.0603964 | + | 0.385391i | ||||
\(292\) | 3.27213 | − | 7.34933i | 0.191487 | − | 0.430087i | ||||
\(293\) | −25.7429 | + | 14.8627i | −1.50392 | + | 0.868286i | −0.503926 | + | 0.863747i | \(0.668112\pi\) |
−0.999990 | + | 0.00453922i | \(0.998555\pi\) | |||||||
\(294\) | 1.84381 | + | 1.20166i | 0.107533 | + | 0.0700821i | ||||
\(295\) | 6.72888 | − | 14.1122i | 0.391771 | − | 0.821645i | ||||
\(296\) | 4.92486 | + | 3.57812i | 0.286252 | + | 0.207974i | ||||
\(297\) | −1.61122 | + | 28.1138i | −0.0934923 | + | 1.63133i | ||||
\(298\) | −2.06711 | − | 0.671644i | −0.119744 | − | 0.0389073i | ||||
\(299\) | −6.59552 | + | 11.4238i | −0.381429 | + | 0.660654i | ||||
\(300\) | −1.78901 | − | 8.47345i | −0.103289 | − | 0.489215i | ||||
\(301\) | −9.91616 | − | 17.1753i | −0.571558 | − | 0.989968i | ||||
\(302\) | 0.267722 | + | 1.25953i | 0.0154057 | + | 0.0724780i | ||||
\(303\) | −1.02507 | + | 1.02173i | −0.0588887 | + | 0.0586971i | ||||
\(304\) | 4.94041 | − | 2.19961i | 0.283352 | − | 0.126156i | ||||
\(305\) | −20.6013 | − | 12.6207i | −1.17962 | − | 0.722660i | ||||
\(306\) | −6.83551 | − | 6.19518i | −0.390760 | − | 0.354155i | ||||
\(307\) | 15.7281i | 0.897648i | 0.893620 | + | 0.448824i | \(0.148157\pi\) | ||||
−0.893620 | + | 0.448824i | \(0.851843\pi\) | |||||||
\(308\) | −15.5001 | + | 1.62912i | −0.883198 | + | 0.0928279i | ||||
\(309\) | 21.5500 | + | 8.31259i | 1.22594 | + | 0.472887i | ||||
\(310\) | 18.5111 | − | 12.7260i | 1.05136 | − | 0.722786i | ||||
\(311\) | 19.5972 | − | 4.16551i | 1.11126 | − | 0.236205i | 0.384516 | − | 0.923118i | \(-0.374368\pi\) |
0.726739 | + | 0.686914i | \(0.241035\pi\) | |||||||
\(312\) | −1.61547 | + | 4.18803i | −0.0914579 | + | 0.237100i | ||||
\(313\) | −0.800220 | + | 3.76474i | −0.0452311 | + | 0.212796i | −0.994959 | − | 0.100280i | \(-0.968026\pi\) |
0.949728 | + | 0.313076i | \(0.101359\pi\) | |||||||
\(314\) | −2.51211 | + | 7.73147i | −0.141766 | + | 0.436312i | ||||
\(315\) | −13.9523 | − | 13.3234i | −0.786123 | − | 0.750687i | ||||
\(316\) | 2.94884 | + | 9.07558i | 0.165885 | + | 0.510541i | ||||
\(317\) | 15.7434 | − | 1.65470i | 0.884240 | − | 0.0929374i | 0.348489 | − | 0.937313i | \(-0.386695\pi\) |
0.535752 | + | 0.844376i | \(0.320028\pi\) | |||||||
\(318\) | −1.00840 | + | 6.30033i | −0.0565483 | + | 0.353305i | ||||
\(319\) | −39.7840 | − | 17.7130i | −2.22748 | − | 0.991736i | ||||
\(320\) | −0.0582368 | + | 2.23531i | −0.00325554 | + | 0.124958i | ||||
\(321\) | 4.36411 | − | 16.1816i | 0.243581 | − | 0.903167i | ||||
\(322\) | 5.95377 | + | 13.3724i | 0.331791 | + | 0.745214i | ||||
\(323\) | 15.8159 | + | 5.13890i | 0.880021 | + | 0.285936i | ||||
\(324\) | 8.24559 | − | 3.60697i | 0.458088 | − | 0.200387i | ||||
\(325\) | −12.7991 | − | 2.02369i | −0.709964 | − | 0.112254i | ||||
\(326\) | −10.5049 | + | 18.1950i | −0.581813 | + | 1.00773i | ||||
\(327\) | −0.779305 | − | 15.3485i | −0.0430957 | − | 0.848773i | ||||
\(328\) | 2.18322 | + | 0.229466i | 0.120548 | + | 0.0126701i | ||||
\(329\) | −0.455748 | + | 4.33615i | −0.0251262 | + | 0.239060i | ||||
\(330\) | 20.9220 | + | 1.67811i | 1.15172 | + | 0.0923767i | ||||
\(331\) | −0.749037 | − | 7.12661i | −0.0411708 | − | 0.391714i | −0.995631 | − | 0.0933756i | \(-0.970234\pi\) |
0.954460 | − | 0.298338i | \(-0.0964324\pi\) | |||||||
\(332\) | 6.91498i | 0.379509i | ||||||||
\(333\) | −17.8509 | − | 3.85516i | −0.978221 | − | 0.211261i | ||||
\(334\) | 3.30235 | + | 10.1636i | 0.180697 | + | 0.556127i | ||||
\(335\) | −2.19752 | + | 16.7089i | −0.120063 | + | 0.912907i | ||||
\(336\) | 2.70612 | + | 4.18197i | 0.147631 | + | 0.228145i | ||||
\(337\) | 21.0477 | + | 18.9514i | 1.14654 | + | 1.03235i | 0.999063 | + | 0.0432859i | \(0.0137826\pi\) |
0.147479 | + | 0.989065i | \(0.452884\pi\) | |||||||
\(338\) | −4.66959 | − | 4.20452i | −0.253992 | − | 0.228696i | ||||
\(339\) | 0.819077 | + | 1.26578i | 0.0444862 | + | 0.0687477i | ||||
\(340\) | −4.73251 | + | 4.98835i | −0.256656 | + | 0.270531i | ||||
\(341\) | 16.8239 | + | 51.7785i | 0.911063 | + | 2.80396i | ||||
\(342\) | −10.8951 | + | 12.0212i | −0.589140 | + | 0.650034i | ||||
\(343\) | 16.4769i | 0.889669i | ||||||||
\(344\) | −0.720839 | − | 6.85833i | −0.0388651 | − | 0.369776i | ||||
\(345\) | −4.57324 | − | 19.1753i | −0.246215 | − | 1.03236i | ||||
\(346\) | 0.500521 | − | 4.76214i | 0.0269082 | − | 0.256014i | ||||
\(347\) | −17.2955 | − | 1.81783i | −0.928470 | − | 0.0975861i | −0.371793 | − | 0.928316i | \(-0.621257\pi\) |
−0.556676 | + | 0.830729i | \(0.687924\pi\) | |||||||
\(348\) | 0.705785 | + | 13.9005i | 0.0378340 | + | 0.745144i | ||||
\(349\) | −0.318919 | + | 0.552384i | −0.0170714 | + | 0.0295685i | −0.874435 | − | 0.485143i | \(-0.838768\pi\) |
0.857364 | + | 0.514711i | \(0.172101\pi\) | |||||||
\(350\) | −10.1650 | + | 10.1704i | −0.543345 | + | 0.543633i | ||||
\(351\) | −0.639034 | − | 13.4512i | −0.0341091 | − | 0.717973i | ||||
\(352\) | −5.15414 | − | 1.67468i | −0.274716 | − | 0.0892608i | ||||
\(353\) | −3.70460 | − | 8.32068i | −0.197176 | − | 0.442865i | 0.787715 | − | 0.616040i | \(-0.211264\pi\) |
−0.984891 | + | 0.173175i | \(0.944597\pi\) | |||||||
\(354\) | 3.15343 | − | 11.6925i | 0.167603 | − | 0.621451i | ||||
\(355\) | −13.5131 | − | 4.78322i | −0.717201 | − | 0.253867i | ||||
\(356\) | 11.7933 | + | 5.25074i | 0.625046 | + | 0.278289i | ||||
\(357\) | −2.42082 | + | 15.1249i | −0.128123 | + | 0.800495i | ||||
\(358\) | −19.0373 | + | 2.00090i | −1.00615 | + | 0.105751i | ||||
\(359\) | 5.92845 | + | 18.2459i | 0.312892 | + | 0.962982i | 0.976614 | + | 0.215002i | \(0.0689759\pi\) |
−0.663722 | + | 0.747979i | \(0.731024\pi\) | |||||||
\(360\) | −2.54773 | − | 6.20557i | −0.134277 | − | 0.327062i | ||||
\(361\) | 3.16618 | − | 9.74449i | 0.166641 | − | 0.512868i | ||||
\(362\) | −2.00645 | + | 9.43959i | −0.105456 | + | 0.496134i | ||||
\(363\) | −11.4507 | + | 29.6853i | −0.601003 | + | 1.55807i | ||||
\(364\) | 7.29027 | − | 1.54959i | 0.382114 | − | 0.0812208i | ||||
\(365\) | 17.9827 | + | 0.468506i | 0.941259 | + | 0.0245227i | ||||
\(366\) | −17.4601 | − | 6.73498i | −0.912656 | − | 0.352043i | ||||
\(367\) | −1.72684 | + | 0.181498i | −0.0901403 | + | 0.00947412i | −0.149491 | − | 0.988763i | \(-0.547764\pi\) |
0.0593509 | + | 0.998237i | \(0.481097\pi\) | |||||||
\(368\) | 5.08990i | 0.265329i | ||||||||
\(369\) | −6.27001 | + | 2.01469i | −0.326404 | + | 0.104880i | ||||
\(370\) | −3.17590 | + | 13.2363i | −0.165107 | + | 0.688123i | ||||
\(371\) | 9.67822 | − | 4.30902i | 0.502468 | − | 0.223713i | ||||
\(372\) | 12.3238 | − | 12.2837i | 0.638961 | − | 0.636882i | ||||
\(373\) | −7.03257 | − | 33.0857i | −0.364133 | − | 1.71311i | −0.654386 | − | 0.756161i | \(-0.727073\pi\) |
0.290253 | − | 0.956950i | \(-0.406260\pi\) | |||||||
\(374\) | −8.33249 | − | 14.4323i | −0.430863 | − | 0.746276i | ||||
\(375\) | 15.9726 | − | 10.9488i | 0.824823 | − | 0.565391i | ||||
\(376\) | −0.758037 | + | 1.31296i | −0.0390928 | + | 0.0677107i | ||||
\(377\) | 19.8064 | + | 6.43547i | 1.02008 | + | 0.331444i | ||||
\(378\) | −12.4927 | − | 8.19996i | −0.642556 | − | 0.421761i | ||||
\(379\) | 3.91256 | + | 2.84264i | 0.200975 | + | 0.146017i | 0.683721 | − | 0.729744i | \(-0.260361\pi\) |
−0.482746 | + | 0.875760i | \(0.660361\pi\) | |||||||
\(380\) | 8.77273 | + | 8.32280i | 0.450032 | + | 0.426951i | ||||
\(381\) | 9.54630 | + | 6.22158i | 0.489072 | + | 0.318741i | ||||
\(382\) | 14.9193 | − | 8.61366i | 0.763337 | − | 0.440713i | ||||
\(383\) | −8.51106 | + | 19.1162i | −0.434895 | + | 0.976790i | 0.554586 | + | 0.832126i | \(0.312877\pi\) |
−0.989481 | + | 0.144664i | \(0.953790\pi\) | |||||||
\(384\) | 0.268165 | + | 1.71117i | 0.0136847 | + | 0.0873226i | ||||
\(385\) | −16.6331 | − | 30.6247i | −0.847701 | − | 1.56078i | ||||
\(386\) | 4.79461 | − | 14.7563i | 0.244039 | − | 0.751076i | ||||
\(387\) | 10.2857 | + | 17.9502i | 0.522852 | + | 0.912461i | ||||
\(388\) | 3.65395 | − | 1.18724i | 0.185501 | − | 0.0602730i | ||||
\(389\) | 7.00011 | + | 7.77441i | 0.354920 | + | 0.394178i | 0.893993 | − | 0.448080i | \(-0.147892\pi\) |
−0.539073 | + | 0.842259i | \(0.681225\pi\) | |||||||
\(390\) | −10.0342 | + | 0.247728i | −0.508102 | + | 0.0125442i | ||||
\(391\) | −10.4731 | + | 11.6316i | −0.529647 | + | 0.588233i | ||||
\(392\) | 0.516818 | − | 1.16079i | 0.0261032 | − | 0.0586288i | ||||
\(393\) | −5.18816 | − | 4.21531i | −0.261708 | − | 0.212634i | ||||
\(394\) | −0.941272 | − | 8.95561i | −0.0474206 | − | 0.451177i | ||||
\(395\) | −16.2237 | + | 13.8601i | −0.816302 | + | 0.697375i | ||||
\(396\) | 16.1745 | − | 1.64674i | 0.812801 | − | 0.0827518i | ||||
\(397\) | −3.25908 | + | 4.48574i | −0.163569 | + | 0.225133i | −0.882932 | − | 0.469501i | \(-0.844434\pi\) |
0.719363 | + | 0.694634i | \(0.244434\pi\) | |||||||
\(398\) | 10.0238 | − | 9.02543i | 0.502446 | − | 0.452404i | ||||
\(399\) | 26.5993 | + | 4.25736i | 1.33163 | + | 0.213134i | ||||
\(400\) | −4.66743 | + | 1.79308i | −0.233371 | + | 0.0896539i | ||||
\(401\) | −6.22244 | − | 10.7776i | −0.310734 | − | 0.538207i | 0.667787 | − | 0.744352i | \(-0.267242\pi\) |
−0.978521 | + | 0.206145i | \(0.933908\pi\) | |||||||
\(402\) | 0.661960 | + | 13.0374i | 0.0330156 | + | 0.650244i | ||||
\(403\) | −10.5895 | − | 23.7845i | −0.527502 | − | 1.18479i | ||||
\(404\) | 0.676019 | + | 0.491157i | 0.0336332 | + | 0.0244360i | ||||
\(405\) | 14.5091 | + | 13.9458i | 0.720965 | + | 0.692972i | ||||
\(406\) | 18.6963 | − | 13.5837i | 0.927882 | − | 0.674146i | ||||
\(407\) | −28.5704 | − | 16.4952i | −1.41618 | − | 0.817634i | ||||
\(408\) | −2.90812 | + | 4.46218i | −0.143973 | + | 0.220911i | ||||
\(409\) | −1.64539 | + | 1.82739i | −0.0813593 | + | 0.0903586i | −0.782450 | − | 0.622714i | \(-0.786030\pi\) |
0.701091 | + | 0.713072i | \(0.252697\pi\) | |||||||
\(410\) | 1.39478 | + | 4.70640i | 0.0688831 | + | 0.232432i | ||||
\(411\) | 16.0245 | − | 31.3235i | 0.790428 | − | 1.54507i | ||||
\(412\) | 2.77260 | − | 13.0440i | 0.136596 | − | 0.642634i | ||||
\(413\) | −19.1236 | + | 6.21364i | −0.941012 | + | 0.305753i | ||||
\(414\) | −6.16526 | − | 13.9697i | −0.303006 | − | 0.686575i | ||||
\(415\) | −14.2846 | + | 5.91909i | −0.701202 | + | 0.290557i | ||||
\(416\) | 2.53498 | + | 0.538826i | 0.124287 | + | 0.0264181i | ||||
\(417\) | 38.5711 | + | 2.08445i | 1.88884 | + | 0.102076i | ||||
\(418\) | −25.3813 | + | 14.6539i | −1.24144 | + | 0.716745i | ||||
\(419\) | −27.3424 | − | 12.1736i | −1.33577 | − | 0.594721i | −0.390374 | − | 0.920656i | \(-0.627654\pi\) |
−0.945392 | + | 0.325935i | \(0.894321\pi\) | |||||||
\(420\) | −6.32248 | + | 9.16984i | −0.308505 | + | 0.447442i | ||||
\(421\) | −13.3022 | + | 5.92250i | −0.648308 | + | 0.288645i | −0.704424 | − | 0.709779i | \(-0.748795\pi\) |
0.0561167 | + | 0.998424i | \(0.482128\pi\) | |||||||
\(422\) | 6.09622 | − | 8.39073i | 0.296759 | − | 0.408454i | ||||
\(423\) | 0.490157 | − | 4.52174i | 0.0238322 | − | 0.219854i | ||||
\(424\) | 3.68380 | 0.178901 | ||||||||
\(425\) | −14.3556 | − | 5.50622i | −0.696348 | − | 0.267091i | ||||
\(426\) | −10.9640 | − | 1.75485i | −0.531210 | − | 0.0850229i | ||||
\(427\) | 6.46035 | + | 30.3936i | 0.312638 | + | 1.47085i | ||||
\(428\) | −9.62323 | − | 1.01144i | −0.465156 | − | 0.0488899i | ||||
\(429\) | 6.33444 | − | 23.4873i | 0.305830 | − | 1.13398i | ||||
\(430\) | 13.5505 | − | 7.35966i | 0.653464 | − | 0.354914i | ||||
\(431\) | −3.61189 | + | 2.62419i | −0.173979 | + | 0.126403i | −0.671367 | − | 0.741125i | \(-0.734292\pi\) |
0.497388 | + | 0.867528i | \(0.334292\pi\) | |||||||
\(432\) | −2.80869 | − | 4.37164i | −0.135133 | − | 0.210331i | ||||
\(433\) | −7.96473 | − | 10.9625i | −0.382761 | − | 0.526825i | 0.573553 | − | 0.819169i | \(-0.305565\pi\) |
−0.956313 | + | 0.292344i | \(0.905565\pi\) | |||||||
\(434\) | −28.2597 | − | 6.00679i | −1.35651 | − | 0.288335i | ||||
\(435\) | −28.1107 | + | 13.3565i | −1.34781 | + | 0.640396i | ||||
\(436\) | −8.67897 | + | 1.84477i | −0.415647 | + | 0.0883485i | ||||
\(437\) | 20.4558 | + | 18.4185i | 0.978532 | + | 0.881074i | ||||
\(438\) | 13.7661 | − | 2.15734i | 0.657768 | − | 0.103082i | ||||
\(439\) | 23.2432 | + | 25.8142i | 1.10934 | + | 1.23205i | 0.970338 | + | 0.241754i | \(0.0777226\pi\) |
0.139001 | + | 0.990292i | \(0.455611\pi\) | |||||||
\(440\) | −0.952379 | − | 12.0806i | −0.0454029 | − | 0.575921i | ||||
\(441\) | −0.0124219 | + | 3.81191i | −0.000591521 | + | 0.181520i | ||||
\(442\) | 4.68428 | + | 6.44736i | 0.222809 | + | 0.306670i | ||||
\(443\) | −24.4672 | − | 14.1261i | −1.16247 | − | 0.671153i | −0.210577 | − | 0.977577i | \(-0.567534\pi\) |
−0.951895 | + | 0.306424i | \(0.900867\pi\) | |||||||
\(444\) | −0.568975 | + | 10.5284i | −0.0270024 | + | 0.499658i | ||||
\(445\) | −0.751804 | + | 28.8566i | −0.0356389 | + | 1.36793i | ||||
\(446\) | 0.817469 | − | 7.77770i | 0.0387083 | − | 0.368285i | ||||
\(447\) | −0.968421 | − | 3.63790i | −0.0458048 | − | 0.172067i | ||||
\(448\) | 2.13719 | − | 1.92433i | 0.100973 | − | 0.0909163i | ||||
\(449\) | −2.40135 | −0.113327 | −0.0566633 | − | 0.998393i | \(-0.518046\pi\) | ||||
−0.0566633 | + | 0.998393i | \(0.518046\pi\) | |||||||
\(450\) | 10.6383 | − | 10.5748i | 0.501494 | − | 0.498501i | ||||
\(451\) | −11.8969 | −0.560202 | ||||||||
\(452\) | 0.646875 | − | 0.582449i | 0.0304265 | − | 0.0273961i | ||||
\(453\) | −1.57964 | + | 1.57450i | −0.0742179 | + | 0.0739764i | ||||
\(454\) | 1.42772 | − | 13.5838i | 0.0670061 | − | 0.637521i | ||||
\(455\) | 9.44139 | + | 13.7334i | 0.442619 | + | 0.643832i | ||||
\(456\) | 7.84738 | + | 5.11435i | 0.367487 | + | 0.239501i | ||||
\(457\) | 8.00239 | + | 4.62018i | 0.374336 | + | 0.216123i | 0.675351 | − | 0.737496i | \(-0.263992\pi\) |
−0.301015 | + | 0.953619i | \(0.597325\pi\) | |||||||
\(458\) | −12.9237 | − | 17.7880i | −0.603887 | − | 0.831179i | ||||
\(459\) | 2.57671 | − | 15.7694i | 0.120270 | − | 0.736053i | ||||
\(460\) | −10.5144 | + | 4.35685i | −0.490238 | + | 0.203139i | ||||
\(461\) | −27.3446 | − | 30.3692i | −1.27356 | − | 1.41444i | −0.865050 | − | 0.501685i | \(-0.832714\pi\) |
−0.408514 | − | 0.912752i | \(-0.633953\pi\) | |||||||
\(462\) | −16.9542 | − | 21.0065i | −0.788779 | − | 0.977313i | ||||
\(463\) | 0.796439 | + | 0.717117i | 0.0370137 | + | 0.0333272i | 0.687430 | − | 0.726251i | \(-0.258739\pi\) |
−0.650416 | + | 0.759578i | \(0.725406\pi\) | |||||||
\(464\) | 7.86019 | − | 1.67073i | 0.364900 | − | 0.0775619i | ||||
\(465\) | 35.9240 | + | 14.9432i | 1.66594 | + | 0.692976i | ||||
\(466\) | −15.1164 | − | 3.21310i | −0.700256 | − | 0.148844i | ||||
\(467\) | −6.83615 | − | 9.40915i | −0.316339 | − | 0.435404i | 0.621006 | − | 0.783806i | \(-0.286724\pi\) |
−0.937345 | + | 0.348402i | \(0.886724\pi\) | |||||||
\(468\) | −7.61016 | + | 1.59169i | −0.351780 | + | 0.0735758i | ||||
\(469\) | 17.5354 | − | 12.7402i | 0.809709 | − | 0.588288i | ||||
\(470\) | −3.36110 | − | 0.442044i | −0.155036 | − | 0.0203900i | ||||
\(471\) | −13.6066 | + | 3.62212i | −0.626958 | + | 0.166899i | ||||
\(472\) | −6.95358 | − | 0.730851i | −0.320065 | − | 0.0336401i | ||||
\(473\) | 7.77020 | + | 36.5559i | 0.357274 | + | 1.68084i | ||||
\(474\) | −10.4225 | + | 12.8280i | −0.478723 | + | 0.589208i | ||||
\(475\) | −9.68349 | + | 25.2464i | −0.444309 | + | 1.15838i | ||||
\(476\) | 8.84351 | 0.405342 | ||||||||
\(477\) | −10.1105 | + | 4.46208i | −0.462930 | + | 0.204305i | ||||
\(478\) | 16.7783 | − | 23.0933i | 0.767421 | − | 1.05626i | ||||
\(479\) | 15.7808 | − | 7.02607i | 0.721044 | − | 0.321029i | −0.0132021 | − | 0.999913i | \(-0.504202\pi\) |
0.734246 | + | 0.678883i | \(0.237536\pi\) | |||||||
\(480\) | −3.30529 | + | 2.01868i | −0.150865 | + | 0.0921399i | ||||
\(481\) | 14.4124 | + | 6.41682i | 0.657149 | + | 0.292582i | ||||
\(482\) | 7.31099 | − | 4.22100i | 0.333007 | − | 0.192261i | ||||
\(483\) | −13.8432 | + | 21.2408i | −0.629887 | + | 0.966489i | ||||
\(484\) | 17.9683 | + | 3.81927i | 0.816739 | + | 0.173603i | ||||
\(485\) | 5.58024 | + | 6.53187i | 0.253386 | + | 0.296597i | ||||
\(486\) | 13.0040 | + | 8.59631i | 0.589873 | + | 0.389936i | ||||
\(487\) | −30.1084 | + | 9.78281i | −1.36434 | + | 0.443301i | −0.897490 | − | 0.441035i | \(-0.854612\pi\) |
−0.466851 | + | 0.884336i | \(0.654612\pi\) | |||||||
\(488\) | −2.24640 | + | 10.5685i | −0.101690 | + | 0.478412i | ||||
\(489\) | −36.3432 | + | 1.84529i | −1.64350 | + | 0.0834471i | ||||
\(490\) | 2.84028 | + | 0.0739982i | 0.128311 | + | 0.00334290i | ||||
\(491\) | −14.9423 | + | 16.5951i | −0.674335 | + | 0.748925i | −0.979073 | − | 0.203511i | \(-0.934765\pi\) |
0.304737 | + | 0.952436i | \(0.401431\pi\) | |||||||
\(492\) | 1.72068 | + | 3.39066i | 0.0775741 | + | 0.152863i | ||||
\(493\) | 21.4000 | + | 12.3553i | 0.963808 | + | 0.556455i | ||||
\(494\) | 11.3386 | − | 8.23799i | 0.510149 | − | 0.370645i | ||||
\(495\) | 17.2468 | + | 32.0029i | 0.775187 | + | 1.43842i | ||||
\(496\) | −8.12740 | − | 5.90490i | −0.364931 | − | 0.265138i | ||||
\(497\) | 7.49870 | + | 16.8424i | 0.336363 | + | 0.755483i | ||||
\(498\) | −10.0555 | + | 6.50682i | −0.450596 | + | 0.291578i | ||||
\(499\) | 14.8402 | + | 25.7039i | 0.664338 | + | 1.15067i | 0.979464 | + | 0.201617i | \(0.0646196\pi\) |
−0.315127 | + | 0.949050i | \(0.602047\pi\) | |||||||
\(500\) | −7.69927 | − | 8.10687i | −0.344322 | − | 0.362550i | ||||
\(501\) | −11.6720 | + | 14.3658i | −0.521467 | + | 0.641817i | ||||
\(502\) | −4.28415 | + | 3.85747i | −0.191211 | + | 0.172167i | ||||
\(503\) | −21.1585 | + | 29.1222i | −0.943411 | + | 1.29849i | 0.0109814 | + | 0.999940i | \(0.496504\pi\) |
−0.954393 | + | 0.298554i | \(0.903496\pi\) | |||||||
\(504\) | −3.53483 | + | 7.87024i | −0.157454 | + | 0.350569i | ||||
\(505\) | −0.435945 | + | 1.81690i | −0.0193993 | + | 0.0808511i | ||||
\(506\) | −2.88332 | − | 27.4330i | −0.128179 | − | 1.21955i | ||||
\(507\) | 1.72006 | − | 10.7467i | 0.0763905 | − | 0.477276i | ||||
\(508\) | 2.67582 | − | 6.00999i | 0.118720 | − | 0.266650i | ||||
\(509\) | 5.99939 | − | 6.66300i | 0.265918 | − | 0.295332i | −0.595367 | − | 0.803454i | \(-0.702993\pi\) |
0.861285 | + | 0.508122i | \(0.169660\pi\) | |||||||
\(510\) | −11.7070 | − | 2.18789i | −0.518395 | − | 0.0968815i | ||||
\(511\) | −15.4810 | − | 17.1934i | −0.684838 | − | 0.760590i | ||||
\(512\) | 0.951057 | − | 0.309017i | 0.0420312 | − | 0.0136568i | ||||
\(513\) | −27.7328 | − | 4.53151i | −1.22443 | − | 0.200071i | ||||
\(514\) | −0.934544 | + | 2.87623i | −0.0412210 | + | 0.126865i | ||||
\(515\) | 29.3189 | − | 5.43797i | 1.29195 | − | 0.239625i | ||||
\(516\) | 9.29478 | − | 7.50172i | 0.409180 | − | 0.330245i | ||||
\(517\) | 3.34182 | − | 7.50586i | 0.146973 | − | 0.330107i | ||||
\(518\) | 15.1613 | − | 8.75339i | 0.666150 | − | 0.384602i | ||||
\(519\) | 7.39586 | − | 3.75321i | 0.324642 | − | 0.164748i | ||||
\(520\) | 1.05681 | + | 5.69784i | 0.0463444 | + | 0.249867i | ||||
\(521\) | 16.4283 | + | 11.9359i | 0.719737 | + | 0.522919i | 0.886300 | − | 0.463111i | \(-0.153267\pi\) |
−0.166563 | + | 0.986031i | \(0.553267\pi\) | |||||||
\(522\) | −19.5493 | + | 14.1063i | −0.855651 | + | 0.617417i | ||||
\(523\) | −31.0336 | − | 10.0834i | −1.35701 | − | 0.440918i | −0.461964 | − | 0.886899i | \(-0.652855\pi\) |
−0.895042 | + | 0.445981i | \(0.852855\pi\) | |||||||
\(524\) | −1.92972 | + | 3.34237i | −0.0843002 | + | 0.146012i | ||||
\(525\) | −24.3545 | − | 5.21143i | −1.06292 | − | 0.227445i | ||||
\(526\) | −8.46512 | − | 14.6620i | −0.369097 | − | 0.639295i | ||||
\(527\) | −6.42285 | − | 30.2171i | −0.279784 | − | 1.31628i | ||||
\(528\) | −2.41467 | − | 9.07075i | −0.105085 | − | 0.394754i | ||||
\(529\) | −2.65576 | + | 1.18242i | −0.115468 | + | 0.0514095i | ||||
\(530\) | 3.15326 | + | 7.60978i | 0.136969 | + | 0.330548i | ||||
\(531\) | 19.9701 | − | 6.41679i | 0.866626 | − | 0.278465i | ||||
\(532\) | − | 15.5526i | − | 0.674290i | ||||||
\(533\) | 5.65806 | − | 0.594686i | 0.245078 | − | 0.0257587i | ||||
\(534\) | 3.46185 | + | 22.0902i | 0.149809 | + | 0.955935i | ||||
\(535\) | −6.14791 | − | 20.7449i | −0.265797 | − | 0.896880i | ||||
\(536\) | 7.37212 | − | 1.56699i | 0.318427 | − | 0.0676837i | ||||
\(537\) | −20.8232 | − | 25.8003i | −0.898587 | − | 1.11337i | ||||
\(538\) | 0.238266 | − | 1.12095i | 0.0102724 | − | 0.0483277i | ||||
\(539\) | −2.12792 | + | 6.54907i | −0.0916561 | + | 0.282089i | ||||
\(540\) | 6.62651 | − | 9.54408i | 0.285159 | − | 0.410712i | ||||
\(541\) | 8.36244 | + | 25.7369i | 0.359529 | + | 1.10652i | 0.953336 | + | 0.301910i | \(0.0976243\pi\) |
−0.593807 | + | 0.804608i | \(0.702376\pi\) | |||||||
\(542\) | 5.51567 | − | 0.579720i | 0.236918 | − | 0.0249011i | ||||
\(543\) | −15.6146 | + | 5.96473i | −0.670088 | + | 0.255971i | ||||
\(544\) | 2.80922 | + | 1.25074i | 0.120444 | + | 0.0536252i | ||||
\(545\) | −11.2399 | − | 16.3494i | −0.481462 | − | 0.700333i | ||||
\(546\) | 9.11331 | + | 9.14306i | 0.390014 | + | 0.391287i | ||||
\(547\) | 7.62502 | + | 17.1261i | 0.326022 | + | 0.732258i | 0.999979 | − | 0.00651316i | \(-0.00207322\pi\) |
−0.673957 | + | 0.738771i | \(0.735407\pi\) | |||||||
\(548\) | −19.3195 | − | 6.27729i | −0.825289 | − | 0.268153i | ||||
\(549\) | −6.63584 | − | 31.7272i | −0.283211 | − | 1.35408i | ||||
\(550\) | 24.1402 | − | 12.3081i | 1.02934 | − | 0.524821i | ||||
\(551\) | 21.7286 | − | 37.6350i | 0.925669 | − | 1.60331i | ||||
\(552\) | −7.40150 | + | 4.78947i | −0.315029 | + | 0.203853i | ||||
\(553\) | 27.2931 | + | 2.86862i | 1.16062 | + | 0.121986i | ||||
\(554\) | −0.193654 | + | 1.84249i | −0.00822756 | + | 0.0782800i | ||||
\(555\) | −22.2361 | + | 7.83678i | −0.943870 | + | 0.332653i | ||||
\(556\) | −2.33115 | − | 22.1794i | −0.0988626 | − | 0.940615i | ||||
\(557\) | − | 5.36247i | − | 0.227215i | −0.993526 | − | 0.113608i | \(-0.963759\pi\) | ||
0.993526 | − | 0.113608i | \(-0.0362406\pi\) | |||||||
\(558\) | 29.4589 | + | 6.36208i | 1.24709 | + | 0.269328i | ||||
\(559\) | −5.52276 | − | 16.9973i | −0.233588 | − | 0.718909i | ||||
\(560\) | 5.80457 | + | 2.76769i | 0.245288 | + | 0.116956i | ||||
\(561\) | 13.1461 | − | 25.6971i | 0.555030 | − | 1.08493i | ||||
\(562\) | 3.62087 | + | 3.26025i | 0.152737 | + | 0.137525i | ||||
\(563\) | 12.8660 | + | 11.5846i | 0.542237 | + | 0.488232i | 0.894130 | − | 0.447808i | \(-0.147795\pi\) |
−0.351893 | + | 0.936040i | \(0.614462\pi\) | |||||||
\(564\) | −2.62254 | + | 0.133157i | −0.110429 | + | 0.00560693i | ||||
\(565\) | 1.75690 | + | 0.837714i | 0.0739135 | + | 0.0352429i | ||||
\(566\) | −3.41517 | − | 10.5108i | −0.143550 | − | 0.441803i | ||||
\(567\) | 0.168688 | − | 25.8823i | 0.00708423 | − | 1.08695i | ||||
\(568\) | 6.41067i | 0.268986i | ||||||||
\(569\) | 1.03723 | + | 9.86862i | 0.0434831 | + | 0.413714i | 0.994513 | + | 0.104615i | \(0.0333609\pi\) |
−0.951030 | + | 0.309099i | \(0.899972\pi\) | |||||||
\(570\) | −3.84773 | + | 20.5885i | −0.161163 | + | 0.862355i | ||||
\(571\) | −2.67579 | + | 25.4584i | −0.111978 | + | 1.06540i | 0.783834 | + | 0.620970i | \(0.213261\pi\) |
−0.895813 | + | 0.444432i | \(0.853406\pi\) | |||||||
\(572\) | −13.9680 | − | 1.46809i | −0.584030 | − | 0.0613841i | ||||
\(573\) | 26.5643 | + | 13.5897i | 1.10974 | + | 0.567719i | ||||
\(574\) | 3.15663 | − | 5.46744i | 0.131755 | − | 0.228206i | ||||
\(575\) | −18.0003 | − | 17.9907i | −0.750664 | − | 0.750266i | ||||
\(576\) | −2.23596 | + | 2.00012i | −0.0931652 | + | 0.0833382i | ||||
\(577\) | 13.4344 | + | 4.36509i | 0.559280 | + | 0.181721i | 0.574997 | − | 0.818155i | \(-0.305003\pi\) |
−0.0157170 | + | 0.999876i | \(0.505003\pi\) | |||||||
\(578\) | −3.06840 | − | 6.89174i | −0.127629 | − | 0.286659i | ||||
\(579\) | 25.9696 | − | 6.91319i | 1.07926 | − | 0.287302i | ||||
\(580\) | 10.1795 | + | 14.8070i | 0.422680 | + | 0.614828i | ||||
\(581\) | 18.1673 | + | 8.08861i | 0.753707 | + | 0.335572i | ||||
\(582\) | 5.16470 | + | 4.19625i | 0.214084 | + | 0.173940i | ||||
\(583\) | −19.8545 | + | 2.08680i | −0.822291 | + | 0.0864262i | ||||
\(584\) | −2.48599 | − | 7.65111i | −0.102871 | − | 0.316605i | ||||
\(585\) | −9.80216 | − | 14.3582i | −0.405270 | − | 0.593638i | ||||
\(586\) | −9.18563 | + | 28.2705i | −0.379455 | + | 1.16784i | ||||
\(587\) | −7.24858 | + | 34.1019i | −0.299181 | + | 1.40753i | 0.529736 | + | 0.848163i | \(0.322291\pi\) |
−0.828917 | + | 0.559372i | \(0.811042\pi\) | |||||||
\(588\) | 2.17428 | − | 0.340742i | 0.0896659 | − | 0.0140520i | ||||
\(589\) | −53.1412 | + | 11.2955i | −2.18964 | + | 0.465423i | ||||
\(590\) | −4.44238 | − | 14.9899i | −0.182890 | − | 0.617125i | ||||
\(591\) | 12.1371 | − | 9.79575i | 0.499255 | − | 0.402943i | ||||
\(592\) | 6.05412 | − | 0.636314i | 0.248823 | − | 0.0261523i | ||||
\(593\) | − | 5.86221i | − | 0.240732i | −0.992730 | − | 0.120366i | \(-0.961593\pi\) | ||
0.992730 | − | 0.120366i | \(-0.0384068\pi\) | |||||||
\(594\) | 17.6144 | + | 21.9707i | 0.722729 | + | 0.901470i | ||||
\(595\) | 7.56987 | + | 18.2684i | 0.310334 | + | 0.748932i | ||||
\(596\) | −1.98558 | + | 0.884037i | −0.0813325 | + | 0.0362116i | ||||
\(597\) | 22.5565 | + | 6.08340i | 0.923175 | + | 0.248977i | ||||
\(598\) | 2.74257 | + | 12.9028i | 0.112152 | + | 0.527634i | ||||
\(599\) | −1.82372 | − | 3.15878i | −0.0745153 | − | 0.129064i | 0.826360 | − | 0.563142i | \(-0.190408\pi\) |
−0.900875 | + | 0.434078i | \(0.857074\pi\) | |||||||
\(600\) | −6.99934 | − | 5.09992i | −0.285747 | − | 0.208203i | ||||
\(601\) | −18.9635 | + | 32.8458i | −0.773538 | + | 1.33981i | 0.162075 | + | 0.986779i | \(0.448181\pi\) |
−0.935613 | + | 0.353029i | \(0.885152\pi\) | |||||||
\(602\) | −18.8617 | − | 6.12852i | −0.768744 | − | 0.249780i | ||||
\(603\) | −18.3354 | + | 13.2304i | −0.746677 | + | 0.538784i | ||||
\(604\) | 1.04175 | + | 0.756875i | 0.0423882 | + | 0.0307968i | ||||
\(605\) | 7.49084 | + | 40.3870i | 0.304546 | + | 1.64197i | ||||
\(606\) | −0.0781013 | + | 1.44520i | −0.00317265 | + | 0.0587073i | ||||
\(607\) | −24.9637 | + | 14.4128i | −1.01324 | + | 0.584997i | −0.912140 | − | 0.409879i | \(-0.865571\pi\) |
−0.101105 | + | 0.994876i | \(0.532238\pi\) | |||||||
\(608\) | 2.19961 | − | 4.94041i | 0.0892061 | − | 0.200360i | ||||
\(609\) | 37.3455 | + | 14.4055i | 1.51332 | + | 0.583738i | ||||
\(610\) | −23.7546 | + | 4.40592i | −0.961796 | + | 0.178390i | ||||
\(611\) | −1.21415 | + | 3.73677i | −0.0491193 | + | 0.151174i | ||||
\(612\) | −9.22516 | − | 0.0300622i | −0.372905 | − | 0.00121519i | ||||
\(613\) | 24.7519 | − | 8.04239i | 0.999721 | − | 0.324829i | 0.236967 | − | 0.971518i | \(-0.423847\pi\) |
0.762754 | + | 0.646689i | \(0.223847\pi\) | |||||||
\(614\) | 10.5241 | + | 11.6882i | 0.424719 | + | 0.471699i | ||||
\(615\) | −5.53138 | + | 6.45682i | −0.223047 | + | 0.260364i | ||||
\(616\) | −10.4287 | + | 11.5822i | −0.420184 | + | 0.466662i | ||||
\(617\) | 12.8288 | − | 28.8140i | 0.516468 | − | 1.16001i | −0.447572 | − | 0.894248i | \(-0.647711\pi\) |
0.964040 | − | 0.265758i | \(-0.0856223\pi\) | |||||||
\(618\) | 21.5770 | − | 8.24232i | 0.867954 | − | 0.331555i | ||||
\(619\) | 3.38981 | + | 32.2519i | 0.136248 | + | 1.29631i | 0.822423 | + | 0.568876i | \(0.192622\pi\) |
−0.686175 | + | 0.727436i | \(0.740712\pi\) | |||||||
\(620\) | 5.24112 | − | 21.8436i | 0.210488 | − | 0.877260i | ||||
\(621\) | 14.5128 | − | 22.1104i | 0.582379 | − | 0.887260i | ||||
\(622\) | 11.7763 | − | 16.2087i | 0.472186 | − | 0.649908i | ||||
\(623\) | 27.5899 | − | 24.8421i | 1.10537 | − | 0.995276i | ||||
\(624\) | 1.60181 | + | 4.19327i | 0.0641238 | + | 0.167865i | ||||
\(625\) | 10.1563 | − | 22.8440i | 0.406252 | − | 0.913761i | ||||
\(626\) | 1.92442 | + | 3.33320i | 0.0769154 | + | 0.133221i | ||||
\(627\) | −45.1921 | − | 23.1194i | −1.80480 | − | 0.923299i | ||||
\(628\) | 3.30650 | + | 7.42653i | 0.131944 | + | 0.296351i | ||||
\(629\) | 15.1443 | + | 11.0030i | 0.603843 | + | 0.438718i | ||||
\(630\) | −19.2837 | − | 0.565287i | −0.768279 | − | 0.0225216i | ||||
\(631\) | −2.41301 | + | 1.75315i | −0.0960604 | + | 0.0697919i | −0.634779 | − | 0.772694i | \(-0.718909\pi\) |
0.538718 | + | 0.842486i | \(0.318909\pi\) | |||||||
\(632\) | 8.26416 | + | 4.77132i | 0.328731 | + | 0.189793i | ||||
\(633\) | 17.9378 | + | 0.969391i | 0.712964 | + | 0.0385298i | ||||
\(634\) | 10.5924 | − | 11.7641i | 0.420680 | − | 0.467212i | ||||
\(635\) | 14.7056 | + | 0.383125i | 0.583572 | + | 0.0152039i | ||||
\(636\) | 3.46636 | + | 5.35681i | 0.137450 | + | 0.212411i | ||||
\(637\) | 0.684656 | − | 3.22105i | 0.0271271 | − | 0.127623i | ||||
\(638\) | −41.4176 | + | 13.4574i | −1.63974 | + | 0.532783i | ||||
\(639\) | −7.76506 | − | 17.5947i | −0.307181 | − | 0.696036i | ||||
\(640\) | 1.45244 | + | 1.70013i | 0.0574126 | + | 0.0672034i | ||||
\(641\) | −25.7608 | − | 5.47562i | −1.01749 | − | 0.216274i | −0.331168 | − | 0.943572i | \(-0.607443\pi\) |
−0.686322 | + | 0.727298i | \(0.740776\pi\) | |||||||
\(642\) | −7.58442 | − | 14.9454i | −0.299333 | − | 0.589848i | ||||
\(643\) | −18.4457 | + | 10.6496i | −0.727427 | + | 0.419980i | −0.817480 | − | 0.575957i | \(-0.804630\pi\) |
0.0900530 | + | 0.995937i | \(0.471296\pi\) | |||||||
\(644\) | 13.3724 | + | 5.95377i | 0.526946 | + | 0.234612i | ||||
\(645\) | 23.4528 | + | 12.7793i | 0.923453 | + | 0.503185i | ||||
\(646\) | 15.1921 | − | 6.76396i | 0.597726 | − | 0.266125i | ||||
\(647\) | 11.3783 | − | 15.6609i | 0.447329 | − | 0.615695i | −0.524492 | − | 0.851415i | \(-0.675745\pi\) |
0.971821 | + | 0.235720i | \(0.0757448\pi\) | |||||||
\(648\) | 3.71414 | − | 8.19788i | 0.145905 | − | 0.322043i | ||||
\(649\) | 37.8917 | 1.48738 | ||||||||
\(650\) | −10.8657 | + | 7.06034i | −0.426186 | + | 0.276929i | ||||
\(651\) | −17.8569 | − | 46.7462i | −0.699866 | − | 1.83213i | ||||
\(652\) | 4.36818 | + | 20.5507i | 0.171071 | + | 0.804827i | ||||
\(653\) | −4.49474 | − | 0.472416i | −0.175893 | − | 0.0184871i | 0.0161726 | − | 0.999869i | \(-0.494852\pi\) |
−0.192065 | + | 0.981382i | \(0.561519\pi\) | |||||||
\(654\) | −10.8493 | − | 10.8847i | −0.424240 | − | 0.425625i | ||||
\(655\) | −8.55629 | − | 1.12530i | −0.334322 | − | 0.0439692i | ||||
\(656\) | 1.77599 | − | 1.29033i | 0.0693409 | − | 0.0503791i | ||||
\(657\) | 16.0906 | + | 17.9880i | 0.627755 | + | 0.701778i | ||||
\(658\) | 2.56277 | + | 3.52735i | 0.0999070 | + | 0.137510i | ||||
\(659\) | −19.2704 | − | 4.09604i | −0.750667 | − | 0.159559i | −0.183337 | − | 0.983050i | \(-0.558690\pi\) |
−0.567329 | + | 0.823491i | \(0.692023\pi\) | |||||||
\(660\) | 16.6709 | − | 12.7525i | 0.648915 | − | 0.496389i | ||||
\(661\) | 29.2108 | − | 6.20894i | 1.13617 | − | 0.241500i | 0.398830 | − | 0.917025i | \(-0.369416\pi\) |
0.737337 | + | 0.675525i | \(0.236083\pi\) | |||||||
\(662\) | −5.32528 | − | 4.79490i | −0.206973 | − | 0.186359i | ||||
\(663\) | −4.96768 | + | 12.8785i | −0.192929 | + | 0.500159i | ||||
\(664\) | 4.62703 | + | 5.13883i | 0.179563 | + | 0.199425i | ||||
\(665\) | 32.1277 | − | 13.3127i | 1.24586 | − | 0.516245i | ||||
\(666\) | −15.8454 | + | 9.07961i | −0.613996 | + | 0.351828i | ||||
\(667\) | 24.0412 | + | 33.0899i | 0.930880 | + | 1.28125i | ||||
\(668\) | 9.25489 | + | 5.34331i | 0.358083 | + | 0.206739i | ||||
\(669\) | 12.0792 | − | 6.12989i | 0.467009 | − | 0.236995i | ||||
\(670\) | 9.54739 | + | 13.8876i | 0.368848 | + | 0.536525i | ||||
\(671\) | 6.12057 | − | 58.2333i | 0.236282 | − | 2.24807i | ||||
\(672\) | 4.80932 | + | 1.29706i | 0.185524 | + | 0.0500350i | ||||
\(673\) | −21.2905 | + | 19.1701i | −0.820689 | + | 0.738952i | −0.968218 | − | 0.250106i | \(-0.919535\pi\) |
0.147529 | + | 0.989058i | \(0.452868\pi\) | |||||||
\(674\) | 28.3225 | 1.09094 | ||||||||
\(675\) | 25.3878 | + | 5.51912i | 0.977176 | + | 0.212431i | ||||
\(676\) | −6.28356 | −0.241675 | ||||||||
\(677\) | −16.1418 | + | 14.5342i | −0.620380 | + | 0.558593i | −0.918244 | − | 0.396016i | \(-0.870393\pi\) |
0.297864 | + | 0.954608i | \(0.403726\pi\) | |||||||
\(678\) | 1.45566 | + | 0.392587i | 0.0559045 | + | 0.0150772i | ||||
\(679\) | 1.15494 | − | 10.9885i | 0.0443226 | − | 0.421702i | ||||
\(680\) | −0.179082 | + | 6.87373i | −0.00686749 | + | 0.263596i | ||||
\(681\) | 21.0964 | − | 10.7059i | 0.808417 | − | 0.410251i | ||||
\(682\) | 47.1492 | + | 27.2216i | 1.80543 | + | 1.04237i | ||||
\(683\) | −19.9764 | − | 27.4952i | −0.764377 | − | 1.05207i | −0.996837 | − | 0.0794686i | \(-0.974678\pi\) |
0.232461 | − | 0.972606i | \(-0.425322\pi\) | |||||||
\(684\) | −0.0528687 | + | 16.2238i | −0.00202149 | + | 0.620332i | ||||
\(685\) | −3.56985 | − | 45.2824i | −0.136397 | − | 1.73015i | ||||
\(686\) | 11.0252 | + | 12.2447i | 0.420944 | + | 0.467506i | ||||
\(687\) | 13.7056 | − | 35.5312i | 0.522901 | − | 1.35560i | ||||
\(688\) | −5.12481 | − | 4.61440i | −0.195381 | − | 0.175922i | ||||
\(689\) | 9.33834 | − | 1.98493i | 0.355762 | − | 0.0756196i | ||||
\(690\) | −16.2294 | − | 11.1899i | −0.617841 | − | 0.425993i | ||||
\(691\) | 9.82009 | + | 2.08733i | 0.373574 | + | 0.0794056i | 0.390873 | − | 0.920445i | \(-0.372173\pi\) |
−0.0172987 | + | 0.999850i | \(0.505507\pi\) | |||||||
\(692\) | −2.81453 | − | 3.87387i | −0.106992 | − | 0.147262i | ||||
\(693\) | 14.5933 | − | 44.4206i | 0.554355 | − | 1.68740i | ||||
\(694\) | −14.0694 | + | 10.2220i | −0.534067 | + | 0.388023i | ||||
\(695\) | 43.8215 | − | 23.8007i | 1.66224 | − | 0.902810i | ||||
\(696\) | 9.82574 | + | 9.85781i | 0.372444 | + | 0.373659i | ||||
\(697\) | 6.71356 | + | 0.705624i | 0.254294 | + | 0.0267274i | ||||
\(698\) | 0.132614 | + | 0.623900i | 0.00501952 | + | 0.0236150i | ||||
\(699\) | −9.55184 | − | 25.0051i | −0.361284 | − | 0.945780i | ||||
\(700\) | −0.748746 | + | 14.3599i | −0.0283000 | + | 0.542752i | ||||
\(701\) | −36.4671 | −1.37734 | −0.688672 | − | 0.725073i | \(-0.741806\pi\) | ||||
−0.688672 | + | 0.725073i | \(0.741806\pi\) | |||||||
\(702\) | −9.47552 | − | 9.56861i | −0.357631 | − | 0.361144i | ||||
\(703\) | 19.3503 | − | 26.6334i | 0.729811 | − | 1.00450i | ||||
\(704\) | −4.95085 | + | 2.20426i | −0.186592 | + | 0.0830762i | ||||
\(705\) | −2.51991 | − | 5.30352i | −0.0949054 | − | 0.199742i | ||||
\(706\) | −8.32068 | − | 3.70460i | −0.313153 | − | 0.139425i | ||||
\(707\) | 2.08114 | − | 1.20155i | 0.0782694 | − | 0.0451888i | ||||
\(708\) | −5.48037 | − | 10.7993i | −0.205965 | − | 0.405863i | ||||
\(709\) | −31.5987 | − | 6.71650i | −1.18671 | − | 0.252244i | −0.428067 | − | 0.903747i | \(-0.640805\pi\) |
−0.758646 | + | 0.651503i | \(0.774139\pi\) | |||||||
\(710\) | −13.2428 | + | 5.48740i | −0.496993 | + | 0.205939i | ||||
\(711\) | −28.4612 | − | 3.08519i | −1.06738 | − | 0.115704i | ||||
\(712\) | 12.2776 | − | 3.98923i | 0.460122 | − | 0.149503i | ||||
\(713\) | 10.6312 | − | 50.0158i | 0.398141 | − | 1.87311i | ||||
\(714\) | 8.32152 | + | 12.8598i | 0.311425 | + | 0.481267i | ||||
\(715\) | −8.92361 | − | 30.1109i | −0.333724 | − | 1.12608i | ||||
\(716\) | −12.8086 | + | 14.2254i | −0.478679 | + | 0.531627i | ||||
\(717\) | 49.3692 | + | 2.66800i | 1.84373 | + | 0.0996382i | ||||
\(718\) | 16.6146 | + | 9.59244i | 0.620051 | + | 0.357987i | ||||
\(719\) | 11.8733 | − | 8.62649i | 0.442801 | − | 0.321714i | −0.343946 | − | 0.938989i | \(-0.611764\pi\) |
0.786747 | + | 0.617276i | \(0.211764\pi\) | |||||||
\(720\) | −6.04567 | − | 2.90687i | −0.225309 | − | 0.108333i | ||||
\(721\) | −31.0267 | − | 22.5422i | −1.15549 | − | 0.839515i | ||||
\(722\) | −4.16741 | − | 9.36015i | −0.155095 | − | 0.348349i | ||||
\(723\) | 13.0175 | + | 6.65946i | 0.484124 | + | 0.247668i | ||||
\(724\) | 4.82524 | + | 8.35756i | 0.179329 | + | 0.310606i | ||||
\(725\) | −21.8741 | + | 33.7027i | −0.812383 | + | 1.25169i | ||||
\(726\) | 11.3539 | + | 29.7225i | 0.421381 | + | 1.10310i | ||||
\(727\) | −7.97634 | + | 7.18193i | −0.295826 | + | 0.266363i | −0.803656 | − | 0.595095i | \(-0.797115\pi\) |
0.507830 | + | 0.861458i | \(0.330448\pi\) | |||||||
\(728\) | 4.38085 | − | 6.02972i | 0.162365 | − | 0.223476i | ||||
\(729\) | −0.263951 | + | 26.9987i | −0.00977596 | + | 0.999952i | ||||
\(730\) | 13.6773 | − | 11.6846i | 0.506218 | − | 0.432467i | ||||
\(731\) | −2.21663 | − | 21.0898i | −0.0819851 | − | 0.780036i | ||||
\(732\) | −17.4820 | + | 6.67805i | −0.646153 | + | 0.246828i | ||||
\(733\) | −3.87847 | + | 8.71118i | −0.143254 | + | 0.321755i | −0.970896 | − | 0.239503i | \(-0.923016\pi\) |
0.827641 | + | 0.561258i | \(0.189682\pi\) | |||||||
\(734\) | −1.16185 | + | 1.29036i | −0.0428845 | + | 0.0476281i | ||||
\(735\) | 2.56503 | + | 4.19984i | 0.0946125 | + | 0.154914i | ||||
\(736\) | 3.40581 | + | 3.78253i | 0.125540 | + | 0.139426i | ||||
\(737\) | −38.8458 | + | 12.6218i | −1.43090 | + | 0.464928i | ||||
\(738\) | −3.31144 | + | 5.69266i | −0.121896 | + | 0.209550i | ||||
\(739\) | −3.95998 | + | 12.1876i | −0.145670 | + | 0.448327i | −0.997097 | − | 0.0761474i | \(-0.975738\pi\) |
0.851426 | + | 0.524474i | \(0.175738\pi\) | |||||||
\(740\) | 6.49667 | + | 11.9616i | 0.238822 | + | 0.439717i | ||||
\(741\) | 22.6487 | + | 8.73638i | 0.832020 | + | 0.320939i | ||||
\(742\) | 4.30902 | − | 9.67822i | 0.158189 | − | 0.355299i | ||||
\(743\) | 19.5590 | − | 11.2924i | 0.717550 | − | 0.414278i | −0.0963000 | − | 0.995352i | \(-0.530701\pi\) |
0.813850 | + | 0.581074i | \(0.197367\pi\) | |||||||
\(744\) | 0.938967 | − | 17.3749i | 0.0344242 | − | 0.636993i | ||||
\(745\) | −3.52581 | − | 3.34498i | −0.129176 | − | 0.122551i | ||||
\(746\) | −27.3648 | − | 19.8817i | −1.00190 | − | 0.727922i | ||||
\(747\) | −18.9239 | − | 8.49944i | −0.692388 | − | 0.310978i | ||||
\(748\) | −15.8493 | − | 5.14976i | −0.579509 | − | 0.188294i | ||||
\(749\) | −13.9138 | + | 24.0994i | −0.508400 | + | 0.880574i | ||||
\(750\) | 4.54383 | − | 18.8243i | 0.165917 | − | 0.687366i | ||||
\(751\) | 3.56824 | + | 6.18037i | 0.130207 | + | 0.225525i | 0.923756 | − | 0.382981i | \(-0.125103\pi\) |
−0.793549 | + | 0.608506i | \(0.791769\pi\) | |||||||
\(752\) | 0.315210 | + | 1.48295i | 0.0114945 | + | 0.0540774i | ||||
\(753\) | −9.64063 | − | 2.60004i | −0.351324 | − | 0.0947508i | ||||
\(754\) | 19.0252 | − | 8.47055i | 0.692855 | − | 0.308479i | ||||
\(755\) | −0.671793 | + | 2.79986i | −0.0244491 | + | 0.101897i | ||||
\(756\) | −14.7707 | + | 2.26550i | −0.537207 | + | 0.0823955i | ||||
\(757\) | − | 12.7143i | − | 0.462110i | −0.972941 | − | 0.231055i | \(-0.925782\pi\) | ||
0.972941 | − | 0.231055i | \(-0.0742177\pi\) | |||||||
\(758\) | 4.80970 | − | 0.505520i | 0.174696 | − | 0.0183613i | ||||
\(759\) | 37.1787 | − | 30.0065i | 1.34950 | − | 1.08917i | ||||
\(760\) | 12.0885 | + | 0.314942i | 0.438494 | + | 0.0114241i | ||||
\(761\) | 4.24844 | − | 0.903034i | 0.154006 | − | 0.0327350i | −0.130264 | − | 0.991479i | \(-0.541582\pi\) |
0.284269 | + | 0.958744i | \(0.408249\pi\) | |||||||
\(762\) | 11.2573 | − | 1.76419i | 0.407810 | − | 0.0639098i | ||||
\(763\) | −5.30533 | + | 24.9596i | −0.192066 | + | 0.903599i | ||||
\(764\) | 5.32353 | − | 16.3841i | 0.192599 | − | 0.592758i | ||||
\(765\) | −7.83445 | − | 19.0826i | −0.283255 | − | 0.689931i | ||||
\(766\) | 6.46625 | + | 19.9011i | 0.233635 | + | 0.719055i | ||||
\(767\) | −18.0210 | + | 1.89408i | −0.650700 | + | 0.0683913i | ||||
\(768\) | 1.34428 | + | 1.09221i | 0.0485075 | + | 0.0394116i | ||||
\(769\) | 38.1723 | + | 16.9954i | 1.37653 | + | 0.612871i | 0.955720 | − | 0.294278i | \(-0.0950793\pi\) |
0.420810 | + | 0.907149i | \(0.361746\pi\) | |||||||
\(770\) | −32.8527 | − | 11.6288i | −1.18393 | − | 0.419075i | ||||
\(771\) | −5.06187 | + | 1.34749i | −0.182299 | + | 0.0485286i | ||||
\(772\) | −6.31080 | − | 14.1743i | −0.227131 | − | 0.510144i | ||||
\(773\) | 47.0703 | + | 15.2941i | 1.69300 | + | 0.550089i | 0.987362 | − | 0.158482i | \(-0.0506600\pi\) |
0.705639 | + | 0.708571i | \(0.250660\pi\) | |||||||
\(774\) | 19.6548 | + | 6.45712i | 0.706478 | + | 0.232097i | ||||
\(775\) | 49.6096 | − | 7.87088i | 1.78203 | − | 0.282730i | ||||
\(776\) | 1.92099 | − | 3.32726i | 0.0689597 | − | 0.119442i | ||||
\(777\) | 26.9952 | + | 13.8102i | 0.968447 | + | 0.495438i | ||||
\(778\) | 10.4042 | + | 1.09352i | 0.373008 | + | 0.0392048i | ||||
\(779\) | 1.24094 | − | 11.8068i | 0.0444613 | − | 0.423021i | ||||
\(780\) | −7.29110 | + | 6.89829i | −0.261063 | + | 0.246998i | ||||
\(781\) | −3.63151 | − | 34.5515i | −0.129946 | − | 1.23635i | ||||
\(782\) | 15.6518i | 0.559707i | ||||||||
\(783\) | −38.9082 | − | 15.1541i | −1.39047 | − | 0.541563i | ||||
\(784\) | −0.392651 | − | 1.20845i | −0.0140232 | − | 0.0431591i | ||||
\(785\) | −12.5110 | + | 13.1874i | −0.446537 | + | 0.470677i | ||||
\(786\) | −6.67615 | + | 0.338975i | −0.238130 | + | 0.0120909i | ||||
\(787\) | −1.37265 | − | 1.23594i | −0.0489297 | − | 0.0440565i | 0.644303 | − | 0.764770i | \(-0.277148\pi\) |
−0.693233 | + | 0.720714i | \(0.743814\pi\) | |||||||
\(788\) | −6.69197 | − | 6.02548i | −0.238392 | − | 0.214649i | ||||
\(789\) | 13.3554 | − | 26.1062i | 0.475465 | − | 0.929405i | ||||
\(790\) | −2.78236 | + | 21.1558i | −0.0989918 | + | 0.752689i | ||||
\(791\) | −0.773569 | − | 2.38080i | −0.0275050 | − | 0.0846515i | ||||
\(792\) | 10.9181 | − | 12.0466i | 0.387959 | − | 0.428059i | ||||
\(793\) | 28.0012i | 0.994353i | ||||||||
\(794\) | 0.579577 | + | 5.51431i | 0.0205684 | + | 0.195695i | ||||
\(795\) | −8.09867 | + | 11.7459i | −0.287230 | + | 0.416585i | ||||
\(796\) | 1.40991 | − | 13.4144i | 0.0499730 | − | 0.475461i | ||||
\(797\) | −19.0097 | − | 1.99800i | −0.673358 | − | 0.0707728i | −0.238322 | − | 0.971186i | \(-0.576597\pi\) |
−0.435035 | + | 0.900413i | \(0.643264\pi\) | |||||||
\(798\) | 22.6159 | − | 14.6346i | 0.800593 | − | 0.518059i | ||||
\(799\) | −2.33102 | + | 4.03744i | −0.0824655 | + | 0.142834i | ||||
\(800\) | −2.26877 | + | 4.45563i | −0.0802131 | + | 0.157530i | ||||
\(801\) | −28.8650 | + | 25.8204i | −1.01990 | + | 0.912317i | ||||
\(802\) | −11.8358 | − | 3.84568i | −0.417936 | − | 0.135796i | ||||
\(803\) | 17.7329 | + | 39.8288i | 0.625782 | + | 1.40553i | ||||
\(804\) | 9.21562 | + | 9.24570i | 0.325010 | + | 0.326071i | ||||
\(805\) | −0.852465 | + | 32.7203i | −0.0300454 | + | 1.15324i | ||||
\(806\) | −23.7845 | − | 10.5895i | −0.837772 | − | 0.373000i | ||||
\(807\) | 1.85424 | − | 0.708312i | 0.0652723 | − | 0.0249338i | ||||
\(808\) | 0.831028 | − | 0.0873446i | 0.0292355 | − | 0.00307277i | ||||
\(809\) | −9.19000 | − | 28.2839i | −0.323103 | − | 0.994410i | −0.972289 | − | 0.233780i | \(-0.924890\pi\) |
0.649186 | − | 0.760630i | \(-0.275110\pi\) | |||||||
\(810\) | 20.1139 | + | 0.655235i | 0.706732 | + | 0.0230226i | ||||
\(811\) | 7.07259 | − | 21.7672i | 0.248352 | − | 0.764350i | −0.746715 | − | 0.665144i | \(-0.768370\pi\) |
0.995067 | − | 0.0992053i | \(-0.0316301\pi\) | |||||||
\(812\) | 4.80482 | − | 22.6049i | 0.168616 | − | 0.793277i | ||||
\(813\) | 6.03310 | + | 7.47513i | 0.211590 | + | 0.262164i | ||||
\(814\) | −32.2694 | + | 6.85907i | −1.13104 | + | 0.240410i | ||||
\(815\) | −38.7134 | + | 26.6145i | −1.35607 | + | 0.932266i | ||||
\(816\) | 0.824625 | + | 5.26195i | 0.0288677 | + | 0.184205i | ||||
\(817\) | −37.0895 | + | 3.89827i | −1.29760 | + | 0.136383i | ||||
\(818\) | 2.45900i | 0.0859768i | ||||||||
\(819\) | −4.72003 | + | 21.8555i | −0.164931 | + | 0.763695i | ||||
\(820\) | 4.18571 | + | 2.56425i | 0.146171 | + | 0.0895473i | ||||
\(821\) | −11.7051 | + | 5.21145i | −0.408511 | + | 0.181881i | −0.600695 | − | 0.799478i | \(-0.705109\pi\) |
0.192184 | + | 0.981359i | \(0.438443\pi\) | |||||||
\(822\) | −9.05101 | − | 34.0003i | −0.315690 | − | 1.18590i | ||||
\(823\) | −2.81749 | − | 13.2553i | −0.0982116 | − | 0.462049i | −0.999580 | − | 0.0289953i | \(-0.990769\pi\) |
0.901368 | − | 0.433054i | \(-0.142564\pi\) | |||||||
\(824\) | −6.66772 | − | 11.5488i | −0.232281 | − | 0.402323i | ||||
\(825\) | 40.6133 | + | 23.5220i | 1.41397 | + | 0.818932i | ||||
\(826\) | −10.0539 | + | 17.4138i | −0.349819 | + | 0.605905i | ||||
\(827\) | 2.07784 | + | 0.675133i | 0.0722537 | + | 0.0234767i | 0.344921 | − | 0.938632i | \(-0.387906\pi\) |
−0.272667 | + | 0.962108i | \(0.587906\pi\) | |||||||
\(828\) | −13.9293 | − | 6.25617i | −0.484075 | − | 0.217417i | ||||
\(829\) | 18.2553 | + | 13.2633i | 0.634034 | + | 0.460652i | 0.857795 | − | 0.513991i | \(-0.171834\pi\) |
−0.223762 | + | 0.974644i | \(0.571834\pi\) | |||||||
\(830\) | −6.65487 | + | 13.9570i | −0.230994 | + | 0.484454i | ||||
\(831\) | −2.86149 | + | 1.45214i | −0.0992641 | + | 0.0503740i | ||||
\(832\) | 2.24440 | − | 1.29580i | 0.0778106 | − | 0.0449239i | ||||
\(833\) | 1.58925 | − | 3.56951i | 0.0550642 | − | 0.123676i | ||||
\(834\) | 30.0587 | − | 24.2601i | 1.04085 | − | 0.840057i | ||||
\(835\) | −3.11591 | + | 23.6920i | −0.107831 | + | 0.819896i | ||||
\(836\) | −9.05659 | + | 27.8733i | −0.313229 | + | 0.964019i | ||||
\(837\) | 18.4686 | + | 48.8243i | 0.638368 | + | 1.68762i | ||||
\(838\) | −28.4652 | + | 9.24889i | −0.983312 | + | 0.319498i | ||||
\(839\) | −0.491680 | − | 0.546067i | −0.0169747 | − | 0.0188523i | 0.734598 | − | 0.678503i | \(-0.237371\pi\) |
−0.751572 | + | 0.659651i | \(0.770704\pi\) | |||||||
\(840\) | 1.43730 | + | 11.0451i | 0.0495915 | + | 0.381092i | ||||
\(841\) | 23.8036 | − | 26.4366i | 0.820814 | − | 0.911606i | ||||
\(842\) | −5.92250 | + | 13.3022i | −0.204103 | + | 0.458423i | ||||
\(843\) | −1.33376 | + | 8.33312i | −0.0459371 | + | 0.287008i | ||||
\(844\) | −1.08412 | − | 10.3147i | −0.0373169 | − | 0.355046i | ||||
\(845\) | −5.37860 | − | 12.9802i | −0.185030 | − | 0.446533i | ||||
\(846\) | −2.66137 | − | 3.68828i | −0.0914999 | − | 0.126806i | ||||
\(847\) | 31.0520 | − | 42.7394i | 1.06696 | − | 1.46854i | ||||
\(848\) | 2.73759 | − | 2.46494i | 0.0940094 | − | 0.0846464i | ||||
\(849\) | 12.0708 | − | 14.8566i | 0.414268 | − | 0.509878i | ||||
\(850\) | −14.3527 | + | 5.51384i | −0.492292 | + | 0.189123i | ||||
\(851\) | 15.4923 | + | 26.8335i | 0.531069 | + | 0.919839i | ||||
\(852\) | −9.32210 | + | 6.03227i | −0.319370 | + | 0.206662i | ||||
\(853\) | −0.438189 | − | 0.984189i | −0.0150033 | − | 0.0336980i | 0.905888 | − | 0.423516i | \(-0.139204\pi\) |
−0.920892 | + | 0.389818i | \(0.872538\pi\) | |||||||
\(854\) | 25.1382 | + | 18.2640i | 0.860213 | + | 0.624981i | ||||
\(855\) | −33.5594 | + | 13.7780i | −1.14771 | + | 0.471198i | ||||
\(856\) | −7.82824 | + | 5.68755i | −0.267564 | + | 0.194396i | ||||
\(857\) | 30.1523 | + | 17.4085i | 1.02998 | + | 0.594662i | 0.916980 | − | 0.398933i | \(-0.130619\pi\) |
0.113004 | + | 0.993595i | \(0.463953\pi\) | |||||||
\(858\) | −11.0087 | − | 21.6930i | −0.375830 | − | 0.740588i | ||||
\(859\) | −16.2501 | + | 18.0475i | −0.554445 | + | 0.615774i | −0.953588 | − | 0.301115i | \(-0.902641\pi\) |
0.399143 | + | 0.916889i | \(0.369308\pi\) | |||||||
\(860\) | 5.14543 | − | 14.5364i | 0.175458 | − | 0.495686i | ||||
\(861\) | 10.9208 | − | 0.554494i | 0.372180 | − | 0.0188971i | ||||
\(862\) | −0.928230 | + | 4.36698i | −0.0316157 | + | 0.148740i | ||||
\(863\) | −7.81081 | + | 2.53789i | −0.265883 | + | 0.0863906i | −0.438925 | − | 0.898524i | \(-0.644640\pi\) |
0.173042 | + | 0.984915i | \(0.444640\pi\) | |||||||
\(864\) | −5.01246 | − | 1.36938i | −0.170527 | − | 0.0465873i | ||||
\(865\) | 5.59324 | − | 9.13006i | 0.190176 | − | 0.310431i | ||||
\(866\) | −13.2543 | − | 2.81729i | −0.450400 | − | 0.0957354i | ||||
\(867\) | 7.13437 | − | 10.9469i | 0.242296 | − | 0.371775i | ||||
\(868\) | −25.0204 | + | 14.4455i | −0.849247 | + | 0.490313i | ||||
\(869\) | −47.2441 | − | 21.0344i | −1.60265 | − | 0.713545i | ||||
\(870\) | −11.9531 | + | 28.7356i | −0.405247 | + | 0.974227i | ||||
\(871\) | 17.8438 | − | 7.94458i | 0.604615 | − | 0.269192i | ||||
\(872\) | −5.21534 | + | 7.17830i | −0.176614 | + | 0.243088i | ||||
\(873\) | −1.24214 | + | 11.4588i | −0.0420400 | + | 0.387823i | ||||
\(874\) | 27.5259 | 0.931079 | ||||||||
\(875\) | −30.3047 | + | 10.7450i | −1.02449 | + | 0.363249i | ||||
\(876\) | 8.78664 | − | 10.8145i | 0.296873 | − | 0.365389i | ||||
\(877\) | −0.290661 | − | 1.36745i | −0.00981494 | − | 0.0461757i | 0.972968 | − | 0.230942i | \(-0.0741806\pi\) |
−0.982783 | + | 0.184766i | \(0.940847\pi\) | |||||||
\(878\) | 34.5462 | + | 3.63095i | 1.16588 | + | 0.122539i | ||||
\(879\) | −49.7531 | + | 13.2445i | −1.67813 | + | 0.446724i | ||||
\(880\) | −8.79127 | − | 8.34038i | −0.296354 | − | 0.281154i | ||||
\(881\) | −4.21476 | + | 3.06220i | −0.141999 | + | 0.103168i | −0.656517 | − | 0.754311i | \(-0.727971\pi\) |
0.514518 | + | 0.857480i | \(0.327971\pi\) | |||||||
\(882\) | 2.54144 | + | 2.84111i | 0.0855746 | + | 0.0956653i | ||||
\(883\) | 9.29931 | + | 12.7994i | 0.312947 | + | 0.430734i | 0.936297 | − | 0.351208i | \(-0.114229\pi\) |
−0.623351 | + | 0.781942i | \(0.714229\pi\) | |||||||
\(884\) | 7.79523 | + | 1.65693i | 0.262182 | + | 0.0557285i | ||||
\(885\) | 17.6175 | − | 20.5650i | 0.592206 | − | 0.691286i | ||||
\(886\) | −27.6349 | + | 5.87398i | −0.928413 | + | 0.197340i | ||||
\(887\) | 14.5363 | + | 13.0885i | 0.488080 | + | 0.439469i | 0.876063 | − | 0.482197i | \(-0.160161\pi\) |
−0.387982 | + | 0.921667i | \(0.626828\pi\) | |||||||
\(888\) | 6.62207 | + | 8.20487i | 0.222222 | + | 0.275338i | ||||
\(889\) | −12.6597 | − | 14.0600i | −0.424593 | − | 0.471559i | ||||
\(890\) | 18.7501 | + | 21.9477i | 0.628505 | + | 0.735687i | ||||
\(891\) | −15.3741 | + | 46.2880i | −0.515053 | + | 1.55071i | ||||
\(892\) | −4.59680 | − | 6.32695i | −0.153912 | − | 0.211842i | ||||
\(893\) | 7.10042 | + | 4.09943i | 0.237607 | + | 0.137182i | ||||
\(894\) | −3.15391 | − | 2.05548i | −0.105482 | − | 0.0687457i | ||||
\(895\) | −40.3499 | − | 14.2826i | −1.34875 | − | 0.477415i | ||||
\(896\) | 0.300611 | − | 2.86012i | 0.0100427 | − | 0.0955499i | ||||
\(897\) | −16.1820 | + | 16.1293i | −0.540300 | + | 0.538542i | ||||
\(898\) | −1.78455 | + | 1.60681i | −0.0595511 | + | 0.0536201i | ||||
\(899\) | −80.7276 | −2.69242 | ||||||||
\(900\) | 0.829873 | − | 14.9770i | 0.0276624 | − | 0.499234i | ||||
\(901\) | 11.3279 | 0.377388 | ||||||||
\(902\) | −8.84111 | + | 7.96057i | −0.294377 | + | 0.265058i | ||||
\(903\) | −8.83651 | − | 33.1946i | −0.294061 | − | 1.10465i | ||||
\(904\) | 0.0909875 | − | 0.865688i | 0.00302620 | − | 0.0287924i | ||||
\(905\) | −13.1343 | + | 17.1216i | −0.436598 | + | 0.569141i | ||||
\(906\) | −0.120354 | + | 2.22706i | −0.00399851 | + | 0.0739893i | ||||
\(907\) | −41.5349 | − | 23.9802i | −1.37914 | − | 0.796249i | −0.387087 | − | 0.922043i | \(-0.626519\pi\) |
−0.992056 | + | 0.125794i | \(0.959852\pi\) | |||||||
\(908\) | −8.02835 | − | 11.0501i | −0.266430 | − | 0.366710i | ||||
\(909\) | −2.17504 | + | 1.24633i | −0.0721415 | + | 0.0413381i | ||||
\(910\) | 16.2058 | + | 3.88839i | 0.537216 | + | 0.128899i | ||||
\(911\) | 0.0133692 | + | 0.0148480i | 0.000442941 | + | 0.000491936i | 0.743366 | − | 0.668885i | \(-0.233228\pi\) |
−0.742923 | + | 0.669377i | \(0.766561\pi\) | |||||||
\(912\) | 9.25390 | − | 1.45022i | 0.306427 | − | 0.0480217i | ||||
\(913\) | −27.8493 | − | 25.0756i | −0.921677 | − | 0.829882i | ||||
\(914\) | 9.03844 | − | 1.92118i | 0.298965 | − | 0.0635470i | ||||
\(915\) | −28.7594 | − | 30.3970i | −0.950756 | − | 1.00490i | ||||
\(916\) | −21.5067 | − | 4.57139i | −0.710601 | − | 0.151043i | ||||
\(917\) | 6.52398 | + | 8.97949i | 0.215441 | + | 0.296529i | ||||
\(918\) | −8.63692 | − | 13.4431i | −0.285061 | − | 0.443688i | ||||
\(919\) | −45.1311 | + | 32.7897i | −1.48874 | + | 1.08163i | −0.514132 | + | 0.857711i | \(0.671886\pi\) |
−0.974607 | + | 0.223921i | \(0.928114\pi\) | |||||||
\(920\) | −4.89844 | + | 10.2733i | −0.161497 | + | 0.338701i | ||||
\(921\) | −7.09356 | + | 26.3020i | −0.233741 | + | 0.866682i | ||||
\(922\) | −40.6420 | − | 4.27164i | −1.33847 | − | 0.140679i | ||||
\(923\) | 3.45423 | + | 16.2509i | 0.113697 | + | 0.534904i | ||||
\(924\) | −26.6555 | − | 4.26635i | −0.876902 | − | 0.140353i | ||||
\(925\) | −19.1486 | + | 23.6593i | −0.629601 | + | 0.777914i | ||||
\(926\) | 1.07171 | 0.0352187 | ||||||||
\(927\) | 32.2890 | + | 23.6205i | 1.06051 | + | 0.775799i | ||||
\(928\) | 4.72332 | − | 6.50109i | 0.155051 | − | 0.213409i | ||||
\(929\) | −9.24461 | + | 4.11596i | −0.303306 | + | 0.135040i | −0.552746 | − | 0.833350i | \(-0.686420\pi\) |
0.249440 | + | 0.968390i | \(0.419753\pi\) | |||||||
\(930\) | 36.6957 | − | 12.9329i | 1.20330 | − | 0.424085i | ||||
\(931\) | −6.27751 | − | 2.79493i | −0.205737 | − | 0.0916000i | ||||
\(932\) | −13.3837 | + | 7.72708i | −0.438397 | + | 0.253109i | ||||
\(933\) | 34.6511 | + | 1.87261i | 1.13443 | + | 0.0613064i | ||||
\(934\) | −11.3762 | − | 2.41809i | −0.372241 | − | 0.0791222i | ||||
\(935\) | −2.92863 | − | 37.1487i | −0.0957765 | − | 1.21489i | ||||
\(936\) | −4.59040 | + | 6.27504i | −0.150042 | + | 0.205106i | ||||
\(937\) | −11.6733 | + | 3.79290i | −0.381351 | + | 0.123909i | −0.493418 | − | 0.869792i | \(-0.664253\pi\) |
0.112067 | + | 0.993701i | \(0.464253\pi\) | |||||||
\(938\) | 4.50647 | − | 21.2013i | 0.147141 | − | 0.692246i | ||||
\(939\) | −3.03616 | + | 5.93487i | −0.0990812 | + | 0.193677i | ||||
\(940\) | −2.79357 | + | 1.92051i | −0.0911162 | + | 0.0626403i | ||||
\(941\) | 35.2376 | − | 39.1353i | 1.14871 | − | 1.27577i | 0.193090 | − | 0.981181i | \(-0.438149\pi\) |
0.955623 | − | 0.294593i | \(-0.0951842\pi\) | |||||||
\(942\) | −7.68799 | + | 11.7963i | −0.250488 | + | 0.384346i | ||||
\(943\) | 9.67661 | + | 5.58680i | 0.315114 | + | 0.181931i | ||||
\(944\) | −5.65655 | + | 4.10973i | −0.184105 | + | 0.133760i | ||||
\(945\) | −17.3234 | − | 28.5734i | −0.563531 | − | 0.929491i | ||||
\(946\) | 30.2351 | + | 21.9671i | 0.983027 | + | 0.714211i | ||||
\(947\) | 9.44335 | + | 21.2101i | 0.306868 | + | 0.689236i | 0.999486 | − | 0.0320683i | \(-0.0102094\pi\) |
−0.692618 | + | 0.721305i | \(0.743543\pi\) | |||||||
\(948\) | 0.838131 | + | 16.5071i | 0.0272212 | + | 0.536124i | ||||
\(949\) | −10.4246 | − | 18.0559i | −0.338395 | − | 0.586118i | ||||
\(950\) | 9.69689 | + | 25.2412i | 0.314609 | + | 0.818934i | ||||
\(951\) | 27.0741 | + | 4.33334i | 0.877936 | + | 0.140518i | ||||
\(952\) | 6.57201 | − | 5.91746i | 0.213000 | − | 0.191786i | ||||
\(953\) | 3.48893 | − | 4.80210i | 0.113018 | − | 0.155555i | −0.748761 | − | 0.662840i | \(-0.769351\pi\) |
0.861778 | + | 0.507285i | \(0.169351\pi\) | |||||||
\(954\) | −4.52788 | + | 10.0812i | −0.146596 | + | 0.326392i | ||||
\(955\) | 38.4023 | − | 3.02745i | 1.24267 | − | 0.0979661i | ||||
\(956\) | −2.98376 | − | 28.3885i | −0.0965016 | − | 0.918151i | ||||
\(957\) | −58.5420 | − | 47.5645i | −1.89239 | − | 1.53754i | ||||
\(958\) | 7.02607 | − | 15.7808i | 0.227002 | − | 0.509855i | ||||
\(959\) | −39.0904 | + | 43.4143i | −1.26230 | + | 1.40192i | ||||
\(960\) | −1.10554 | + | 3.71184i | −0.0356813 | + | 0.119799i | ||||
\(961\) | 46.7872 | + | 51.9625i | 1.50926 | + | 1.67621i | ||||
\(962\) | 15.0042 | − | 4.87516i | 0.483755 | − | 0.157181i | ||||
\(963\) | 14.5962 | − | 25.0922i | 0.470356 | − | 0.808584i | ||||
\(964\) | 2.60872 | − | 8.02883i | 0.0840214 | − | 0.258591i | ||||
\(965\) | 23.8785 | − | 25.1694i | 0.768677 | − | 0.810232i | ||||
\(966\) | 3.92537 | + | 25.0479i | 0.126297 | + | 0.805902i | ||||
\(967\) | 3.80062 | − | 8.53634i | 0.122220 | − | 0.274510i | −0.842066 | − | 0.539375i | \(-0.818661\pi\) |
0.964286 | + | 0.264865i | \(0.0853273\pi\) | |||||||
\(968\) | 15.9086 | − | 9.18484i | 0.511322 | − | 0.295212i | ||||
\(969\) | 24.1312 | + | 15.7270i | 0.775207 | + | 0.505223i | ||||
\(970\) | 8.51760 | + | 1.12021i | 0.273484 | + | 0.0359679i | ||||
\(971\) | 45.3059 | + | 32.9167i | 1.45394 | + | 1.05635i | 0.984891 | + | 0.173173i | \(0.0554020\pi\) |
0.469046 | + | 0.883174i | \(0.344598\pi\) | |||||||
\(972\) | 15.4159 | − | 2.31306i | 0.494465 | − | 0.0741914i | ||||
\(973\) | −60.9973 | − | 19.8192i | −1.95548 | − | 0.635375i | ||||
\(974\) | −15.8289 | + | 27.4165i | −0.507191 | + | 0.878481i | ||||
\(975\) | −20.4911 | − | 9.15675i | −0.656242 | − | 0.293251i | ||||
\(976\) | 5.40229 | + | 9.35704i | 0.172923 | + | 0.299511i | ||||
\(977\) | 1.24237 | + | 5.84491i | 0.0397471 | + | 0.186995i | 0.993542 | − | 0.113462i | \(-0.0361940\pi\) |
−0.953795 | + | 0.300457i | \(0.902861\pi\) | |||||||
\(978\) | −25.7735 | + | 25.6897i | −0.824147 | + | 0.821465i | ||||
\(979\) | −63.9126 | + | 28.4557i | −2.04266 | + | 0.909449i | ||||
\(980\) | 2.16026 | − | 1.84553i | 0.0690069 | − | 0.0589533i | ||||
\(981\) | 5.61913 | − | 26.0187i | 0.179405 | − | 0.830714i | ||||
\(982\) | 22.3309i | 0.712607i | ||||||||
\(983\) | 0.525759 | − | 0.0552595i | 0.0167691 | − | 0.00176250i | −0.0961402 | − | 0.995368i | \(-0.530650\pi\) |
0.112909 | + | 0.993605i | \(0.463983\pi\) | |||||||
\(984\) | 3.54751 | + | 1.36840i | 0.113090 | + | 0.0436229i | ||||
\(985\) | 6.71890 | − | 18.9816i | 0.214082 | − | 0.604804i | ||||
\(986\) | 24.1706 | − | 5.13763i | 0.769750 | − | 0.163615i | ||||
\(987\) | −2.71781 | + | 7.04580i | −0.0865088 | + | 0.224270i | ||||
\(988\) | 2.91395 | − | 13.7090i | 0.0927050 | − | 0.436143i | ||||
\(989\) | 10.8466 | − | 33.3826i | 0.344903 | − | 1.06150i | ||||
\(990\) | 34.2310 | + | 12.2424i | 1.08793 | + | 0.389088i | ||||
\(991\) | 1.36669 | + | 4.20623i | 0.0434142 | + | 0.133615i | 0.970414 | − | 0.241446i | \(-0.0776217\pi\) |
−0.927000 | + | 0.375061i | \(0.877622\pi\) | |||||||
\(992\) | −9.99098 | + | 1.05009i | −0.317214 | + | 0.0333405i | ||||
\(993\) | 1.96158 | − | 12.2557i | 0.0622489 | − | 0.388922i | ||||
\(994\) | 16.8424 | + | 7.49870i | 0.534207 | + | 0.237844i | ||||
\(995\) | 28.9176 | − | 8.56995i | 0.916749 | − | 0.271686i | ||||
\(996\) | −3.11875 | + | 11.5639i | −0.0988213 | + | 0.366417i | ||||
\(997\) | −15.3957 | − | 34.5792i | −0.487585 | − | 1.09513i | −0.975049 | − | 0.221991i | \(-0.928744\pi\) |
0.487463 | − | 0.873143i | \(-0.337922\pi\) | |||||||
\(998\) | 28.2277 | + | 9.17174i | 0.893532 | + | 0.290326i | ||||
\(999\) | −28.1133 | − | 14.4980i | −0.889464 | − | 0.458695i |
(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 | 450.2.v.a.79.28 | ✓ | 240 | |
9.4 | even | 3 | inner | 450.2.v.a.229.20 | yes | 240 | |
25.19 | even | 10 | inner | 450.2.v.a.169.20 | yes | 240 | |
225.94 | even | 30 | inner | 450.2.v.a.319.28 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
450.2.v.a.79.28 | ✓ | 240 | 1.1 | even | 1 | trivial | |
450.2.v.a.169.20 | yes | 240 | 25.19 | even | 10 | inner | |
450.2.v.a.229.20 | yes | 240 | 9.4 | even | 3 | inner | |
450.2.v.a.319.28 | yes | 240 | 225.94 | even | 30 | inner |