Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [125,2,Mod(4,125)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(125, base_ring=CyclotomicField(50))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("125.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 125 = 5^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 125.h (of order \(50\), degree \(20\), 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: | \(0.998130025266\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{50})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{50}]$ |
Embedding invariants
Embedding label | 104.9 | ||
Character | \(\chi\) | \(=\) | 125.104 |
Dual form | 125.2.h.a.119.9 |
$q$-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 \(\left(\mathbb{Z}/125\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{21}{50}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.292102 | + | 1.13766i | 0.206547 | + | 0.804448i | 0.984392 | + | 0.175991i | \(0.0563131\pi\) |
−0.777845 | + | 0.628457i | \(0.783687\pi\) | |||||||
\(3\) | −1.81873 | + | 0.346941i | −1.05004 | + | 0.200307i | −0.683392 | − | 0.730051i | \(-0.739496\pi\) |
−0.366652 | + | 0.930358i | \(0.619496\pi\) | |||||||
\(4\) | 0.543663 | − | 0.298881i | 0.271832 | − | 0.149441i | ||||
\(5\) | −1.30981 | + | 1.81229i | −0.585765 | + | 0.810481i | ||||
\(6\) | −0.925956 | − | 1.96776i | −0.378020 | − | 0.803334i | ||||
\(7\) | −2.46333 | + | 3.39049i | −0.931053 | + | 1.28148i | 0.0283944 | + | 0.999597i | \(0.490961\pi\) |
−0.959447 | + | 0.281888i | \(0.909039\pi\) | |||||||
\(8\) | 2.10692 | + | 2.24364i | 0.744908 | + | 0.793246i | ||||
\(9\) | 0.398083 | − | 0.157612i | 0.132694 | − | 0.0525374i | ||||
\(10\) | −2.44437 | − | 0.960749i | −0.772978 | − | 0.303815i | ||||
\(11\) | 4.17884 | − | 1.07295i | 1.25997 | − | 0.323505i | 0.441086 | − | 0.897465i | \(-0.354593\pi\) |
0.818883 | + | 0.573960i | \(0.194593\pi\) | |||||||
\(12\) | −0.885083 | + | 0.732204i | −0.255501 | + | 0.211369i | ||||
\(13\) | −1.05707 | − | 2.66985i | −0.293178 | − | 0.740482i | −0.999470 | − | 0.0325616i | \(-0.989633\pi\) |
0.706292 | − | 0.707920i | \(-0.250367\pi\) | |||||||
\(14\) | −4.57677 | − | 1.81207i | −1.22319 | − | 0.484297i | ||||
\(15\) | 1.75344 | − | 3.75049i | 0.452735 | − | 0.968373i | ||||
\(16\) | −1.27221 | + | 2.00468i | −0.318053 | + | 0.501171i | ||||
\(17\) | 1.93058 | − | 3.51171i | 0.468234 | − | 0.851714i | −0.531755 | − | 0.846898i | \(-0.678467\pi\) |
0.999988 | − | 0.00481559i | \(-0.00153286\pi\) | |||||||
\(18\) | 0.295590 | + | 0.406845i | 0.0696712 | + | 0.0958942i | ||||
\(19\) | −1.10541 | + | 5.79476i | −0.253598 | + | 1.32941i | 0.596428 | + | 0.802667i | \(0.296586\pi\) |
−0.850026 | + | 0.526741i | \(0.823414\pi\) | |||||||
\(20\) | −0.170437 | + | 1.37675i | −0.0381108 | + | 0.307852i | ||||
\(21\) | 3.30384 | − | 7.02102i | 0.720957 | − | 1.53211i | ||||
\(22\) | 2.44130 | + | 4.44070i | 0.520486 | + | 0.946761i | ||||
\(23\) | 6.70653 | + | 0.421939i | 1.39841 | + | 0.0879803i | 0.744009 | − | 0.668170i | \(-0.232922\pi\) |
0.654399 | + | 0.756150i | \(0.272922\pi\) | |||||||
\(24\) | −4.61033 | − | 3.34960i | −0.941079 | − | 0.683734i | ||||
\(25\) | −1.56879 | − | 4.74752i | −0.313758 | − | 0.949503i | ||||
\(26\) | 2.72861 | − | 1.98245i | 0.535124 | − | 0.388791i | ||||
\(27\) | 4.02056 | − | 2.55153i | 0.773758 | − | 0.491041i | ||||
\(28\) | −0.325870 | + | 2.57953i | −0.0615837 | + | 0.487485i | ||||
\(29\) | −0.601399 | − | 0.0759744i | −0.111677 | − | 0.0141081i | 0.0692960 | − | 0.997596i | \(-0.477925\pi\) |
−0.180973 | + | 0.983488i | \(0.557925\pi\) | |||||||
\(30\) | 4.77897 | + | 0.899290i | 0.872517 | + | 0.164187i | ||||
\(31\) | 2.52023 | + | 1.38551i | 0.452646 | + | 0.248844i | 0.691732 | − | 0.722154i | \(-0.256848\pi\) |
−0.239086 | + | 0.970998i | \(0.576848\pi\) | |||||||
\(32\) | 3.20211 | + | 1.04043i | 0.566058 | + | 0.183924i | ||||
\(33\) | −7.22794 | + | 3.40121i | −1.25822 | + | 0.592075i | ||||
\(34\) | 4.55906 | + | 1.17057i | 0.781872 | + | 0.200751i | ||||
\(35\) | −2.91804 | − | 8.90518i | −0.493240 | − | 1.50525i | ||||
\(36\) | 0.169316 | − | 0.204668i | 0.0282193 | − | 0.0341113i | ||||
\(37\) | 0.0253252 | + | 0.0160719i | 0.00416344 | + | 0.00264220i | 0.537907 | − | 0.843004i | \(-0.319215\pi\) |
−0.533743 | + | 0.845646i | \(0.679215\pi\) | |||||||
\(38\) | −6.91536 | + | 0.435078i | −1.12182 | + | 0.0705789i | ||||
\(39\) | 2.84880 | + | 4.48899i | 0.456173 | + | 0.718814i | ||||
\(40\) | −6.82579 | + | 0.879600i | −1.07925 | + | 0.139077i | ||||
\(41\) | 0.0832323 | + | 1.32294i | 0.0129987 | + | 0.206608i | 0.999165 | + | 0.0408509i | \(0.0130069\pi\) |
−0.986167 | + | 0.165757i | \(0.946993\pi\) | |||||||
\(42\) | 8.95260 | + | 1.70780i | 1.38142 | + | 0.263519i | ||||
\(43\) | −6.36064 | + | 2.06670i | −0.969989 | + | 0.315168i | −0.750811 | − | 0.660517i | \(-0.770337\pi\) |
−0.219177 | + | 0.975685i | \(0.570337\pi\) | |||||||
\(44\) | 1.95120 | − | 1.83230i | 0.294155 | − | 0.276230i | ||||
\(45\) | −0.235775 | + | 0.927884i | −0.0351472 | + | 0.138321i | ||||
\(46\) | 1.47897 | + | 7.75301i | 0.218061 | + | 1.14312i | ||||
\(47\) | −4.69280 | + | 4.99733i | −0.684515 | + | 0.728935i | −0.973573 | − | 0.228377i | \(-0.926658\pi\) |
0.289057 | + | 0.957312i | \(0.406658\pi\) | |||||||
\(48\) | 1.61830 | − | 4.08736i | 0.233582 | − | 0.589960i | ||||
\(49\) | −3.26428 | − | 10.0464i | −0.466326 | − | 1.43520i | ||||
\(50\) | 4.94282 | − | 3.17151i | 0.699020 | − | 0.448519i | ||||
\(51\) | −2.29284 | + | 7.05665i | −0.321062 | + | 0.988128i | ||||
\(52\) | −1.37266 | − | 1.13556i | −0.190353 | − | 0.157474i | ||||
\(53\) | 3.82658 | + | 1.80065i | 0.525621 | + | 0.247338i | 0.670234 | − | 0.742150i | \(-0.266194\pi\) |
−0.144613 | + | 0.989488i | \(0.546194\pi\) | |||||||
\(54\) | 4.07719 | + | 3.82873i | 0.554835 | + | 0.521025i | ||||
\(55\) | −3.52901 | + | 8.97863i | −0.475852 | + | 1.21068i | ||||
\(56\) | −12.7971 | + | 1.61665i | −1.71008 | + | 0.216034i | ||||
\(57\) | − | 10.9226i | − | 1.44674i | ||||||
\(58\) | −0.0892367 | − | 0.706381i | −0.0117173 | − | 0.0927524i | ||||
\(59\) | −3.79114 | − | 4.58270i | −0.493564 | − | 0.596616i | 0.463643 | − | 0.886022i | \(-0.346542\pi\) |
−0.957206 | + | 0.289406i | \(0.906542\pi\) | |||||||
\(60\) | −0.167674 | − | 2.56308i | −0.0216467 | − | 0.330892i | ||||
\(61\) | 0.679080 | − | 10.7937i | 0.0869472 | − | 1.38199i | −0.676655 | − | 0.736300i | \(-0.736571\pi\) |
0.763603 | − | 0.645687i | \(-0.223429\pi\) | |||||||
\(62\) | −0.840074 | + | 3.27187i | −0.106689 | + | 0.415528i | ||||
\(63\) | −0.446229 | + | 1.73795i | −0.0562196 | + | 0.218961i | ||||
\(64\) | −0.546480 | + | 8.68605i | −0.0683100 | + | 1.08576i | ||||
\(65\) | 6.22309 | + | 1.58128i | 0.771880 | + | 0.196134i | ||||
\(66\) | −5.98072 | − | 7.22945i | −0.736176 | − | 0.889884i | ||||
\(67\) | −1.61633 | − | 12.7946i | −0.197466 | − | 1.56311i | −0.709852 | − | 0.704351i | \(-0.751238\pi\) |
0.512386 | − | 0.858755i | \(-0.328762\pi\) | |||||||
\(68\) | − | 2.48620i | − | 0.301496i | ||||||
\(69\) | −12.3438 | + | 1.55938i | −1.48601 | + | 0.187727i | ||||
\(70\) | 9.27871 | − | 5.92097i | 1.10902 | − | 0.707691i | ||||
\(71\) | 8.88891 | + | 8.34724i | 1.05492 | + | 0.990635i | 0.999969 | − | 0.00785387i | \(-0.00249999\pi\) |
0.0549502 | + | 0.998489i | \(0.482500\pi\) | |||||||
\(72\) | 1.19235 | + | 0.561079i | 0.140520 | + | 0.0661237i | ||||
\(73\) | 2.89550 | + | 2.39537i | 0.338893 | + | 0.280357i | 0.791266 | − | 0.611472i | \(-0.209422\pi\) |
−0.452373 | + | 0.891829i | \(0.649422\pi\) | |||||||
\(74\) | −0.0108868 | + | 0.0335061i | −0.00126556 | + | 0.00389501i | ||||
\(75\) | 4.50031 | + | 8.09017i | 0.519651 | + | 0.934173i | ||||
\(76\) | 1.13097 | + | 3.48078i | 0.129732 | + | 0.399273i | ||||
\(77\) | −6.65608 | + | 16.8114i | −0.758531 | + | 1.91583i | ||||
\(78\) | −4.27481 | + | 4.55221i | −0.484027 | + | 0.515436i | ||||
\(79\) | 0.862662 | + | 4.52223i | 0.0970570 | + | 0.508791i | 0.997302 | + | 0.0734072i | \(0.0233873\pi\) |
−0.900245 | + | 0.435384i | \(0.856613\pi\) | |||||||
\(80\) | −1.96671 | − | 4.93137i | −0.219885 | − | 0.551344i | ||||
\(81\) | −7.36341 | + | 6.91470i | −0.818157 | + | 0.768300i | ||||
\(82\) | −1.48074 | + | 0.481123i | −0.163521 | + | 0.0531312i | ||||
\(83\) | 3.02244 | + | 0.576561i | 0.331756 | + | 0.0632858i | 0.350568 | − | 0.936537i | \(-0.385988\pi\) |
−0.0188122 | + | 0.999823i | \(0.505988\pi\) | |||||||
\(84\) | −0.302275 | − | 4.80453i | −0.0329809 | − | 0.524217i | ||||
\(85\) | 3.83554 | + | 8.09844i | 0.416023 | + | 0.878399i | ||||
\(86\) | −4.20916 | − | 6.63257i | −0.453885 | − | 0.715208i | ||||
\(87\) | 1.12014 | − | 0.0704734i | 0.120092 | − | 0.00755554i | ||||
\(88\) | 11.2118 | + | 7.11521i | 1.19518 | + | 0.758484i | ||||
\(89\) | 1.53623 | − | 1.85698i | 0.162840 | − | 0.196839i | −0.682782 | − | 0.730622i | \(-0.739230\pi\) |
0.845621 | + | 0.533783i | \(0.179230\pi\) | |||||||
\(90\) | −1.12449 | + | 0.00280482i | −0.118531 | + | 0.000295654i | ||||
\(91\) | 11.6560 | + | 2.99275i | 1.22188 | + | 0.313726i | ||||
\(92\) | 3.77220 | − | 1.77506i | 0.393279 | − | 0.185063i | ||||
\(93\) | −5.06430 | − | 1.64549i | −0.525143 | − | 0.170629i | ||||
\(94\) | −7.05604 | − | 3.87909i | −0.727775 | − | 0.400098i | ||||
\(95\) | −9.05390 | − | 9.59336i | −0.928910 | − | 0.984258i | ||||
\(96\) | −6.18474 | − | 0.781315i | −0.631228 | − | 0.0797426i | ||||
\(97\) | 0.116535 | − | 0.922473i | 0.0118324 | − | 0.0936629i | −0.985093 | − | 0.172025i | \(-0.944969\pi\) |
0.996925 | + | 0.0783621i | \(0.0249690\pi\) | |||||||
\(98\) | 10.4759 | − | 6.64822i | 1.05823 | − | 0.671572i | ||||
\(99\) | 1.49442 | − | 1.08576i | 0.150195 | − | 0.109123i | ||||
\(100\) | −2.27184 | − | 2.11217i | −0.227184 | − | 0.211217i | ||||
\(101\) | −4.82403 | − | 3.50486i | −0.480009 | − | 0.348747i | 0.321320 | − | 0.946971i | \(-0.395873\pi\) |
−0.801329 | + | 0.598224i | \(0.795873\pi\) | |||||||
\(102\) | −8.69782 | − | 0.547220i | −0.861212 | − | 0.0541829i | ||||
\(103\) | 5.90308 | + | 10.7377i | 0.581648 | + | 1.05801i | 0.989441 | + | 0.144939i | \(0.0462986\pi\) |
−0.407793 | + | 0.913075i | \(0.633701\pi\) | |||||||
\(104\) | 3.76302 | − | 7.99682i | 0.368994 | − | 0.784153i | ||||
\(105\) | 8.39671 | + | 15.1837i | 0.819435 | + | 1.48178i | ||||
\(106\) | −0.930781 | + | 4.87932i | −0.0904054 | + | 0.473922i | ||||
\(107\) | −7.52111 | − | 10.3519i | −0.727093 | − | 1.00076i | −0.999258 | − | 0.0385073i | \(-0.987740\pi\) |
0.272165 | − | 0.962251i | \(-0.412260\pi\) | |||||||
\(108\) | 1.42323 | − | 2.58884i | 0.136950 | − | 0.249112i | ||||
\(109\) | 0.151464 | − | 0.238668i | 0.0145076 | − | 0.0228603i | −0.836997 | − | 0.547208i | \(-0.815691\pi\) |
0.851504 | + | 0.524348i | \(0.175691\pi\) | |||||||
\(110\) | −11.2455 | − | 1.39215i | −1.07221 | − | 0.132736i | ||||
\(111\) | −0.0516357 | − | 0.0204440i | −0.00490105 | − | 0.00194046i | ||||
\(112\) | −3.66298 | − | 9.25162i | −0.346119 | − | 0.874196i | ||||
\(113\) | 10.7461 | − | 8.88997i | 1.01091 | − | 0.836298i | 0.0243513 | − | 0.999703i | \(-0.492248\pi\) |
0.986559 | + | 0.163406i | \(0.0522480\pi\) | |||||||
\(114\) | 12.4262 | − | 3.19051i | 1.16382 | − | 0.298819i | ||||
\(115\) | −9.54896 | + | 11.6015i | −0.890445 | + | 1.08185i | ||||
\(116\) | −0.349666 | + | 0.138443i | −0.0324657 | + | 0.0128541i | ||||
\(117\) | −0.841600 | − | 0.896213i | −0.0778060 | − | 0.0828550i | ||||
\(118\) | 4.10616 | − | 5.65164i | 0.378002 | − | 0.520276i | ||||
\(119\) | 7.15075 | + | 15.1961i | 0.655508 | + | 1.39303i | ||||
\(120\) | 12.1091 | − | 3.96791i | 1.10540 | − | 0.362219i | ||||
\(121\) | 6.67216 | − | 3.66805i | 0.606560 | − | 0.333459i | ||||
\(122\) | 12.4779 | − | 2.38029i | 1.12970 | − | 0.215501i | ||||
\(123\) | −0.610359 | − | 2.37719i | −0.0550343 | − | 0.214344i | ||||
\(124\) | 1.78426 | 0.160231 | ||||||||
\(125\) | 10.6587 | + | 3.37525i | 0.953342 | + | 0.301892i | ||||
\(126\) | −2.10754 | −0.187755 | ||||||||
\(127\) | −4.02178 | − | 15.6638i | −0.356875 | − | 1.38994i | −0.853102 | − | 0.521744i | \(-0.825282\pi\) |
0.496227 | − | 0.868193i | \(-0.334718\pi\) | |||||||
\(128\) | −3.42688 | + | 0.653713i | −0.302897 | + | 0.0577806i | ||||
\(129\) | 10.8513 | − | 5.96553i | 0.955401 | − | 0.525236i | ||||
\(130\) | 0.0188112 | + | 7.54167i | 0.00164985 | + | 0.661448i | ||||
\(131\) | −6.71425 | − | 14.2685i | −0.586627 | − | 1.24665i | −0.949195 | − | 0.314688i | \(-0.898100\pi\) |
0.362568 | − | 0.931957i | \(-0.381900\pi\) | |||||||
\(132\) | −2.91301 | + | 4.00941i | −0.253545 | + | 0.348975i | ||||
\(133\) | −16.9241 | − | 18.0223i | −1.46750 | − | 1.56273i | ||||
\(134\) | 14.0838 | − | 5.57616i | 1.21665 | − | 0.481707i | ||||
\(135\) | −0.642074 | + | 10.6284i | −0.0552609 | + | 0.914751i | ||||
\(136\) | 11.9466 | − | 3.06736i | 1.02441 | − | 0.263024i | ||||
\(137\) | −0.756930 | + | 0.626187i | −0.0646689 | + | 0.0534987i | −0.669197 | − | 0.743085i | \(-0.733362\pi\) |
0.604528 | + | 0.796584i | \(0.293362\pi\) | |||||||
\(138\) | −5.37968 | − | 13.5875i | −0.457949 | − | 1.15665i | ||||
\(139\) | 9.11799 | + | 3.61007i | 0.773378 | + | 0.306202i | 0.721466 | − | 0.692450i | \(-0.243469\pi\) |
0.0519118 | + | 0.998652i | \(0.483469\pi\) | |||||||
\(140\) | −4.24803 | − | 3.96927i | −0.359024 | − | 0.335464i | ||||
\(141\) | 6.80116 | − | 10.7169i | 0.572761 | − | 0.902527i | ||||
\(142\) | −6.89987 | + | 12.5508i | −0.579024 | + | 1.05324i | ||||
\(143\) | −7.28192 | − | 10.0227i | −0.608944 | − | 0.838140i | ||||
\(144\) | −0.190483 | + | 0.998546i | −0.0158736 | + | 0.0832121i | ||||
\(145\) | 0.925407 | − | 0.990398i | 0.0768509 | − | 0.0822480i | ||||
\(146\) | −1.87934 | + | 3.99379i | −0.155535 | + | 0.330529i | ||||
\(147\) | 9.42237 | + | 17.1392i | 0.777144 | + | 1.41362i | ||||
\(148\) | 0.0185720 | + | 0.00116845i | 0.00152661 | + | 9.60459e-5i | ||||
\(149\) | 1.86592 | + | 1.35567i | 0.152862 | + | 0.111061i | 0.661587 | − | 0.749868i | \(-0.269883\pi\) |
−0.508725 | + | 0.860929i | \(0.669883\pi\) | |||||||
\(150\) | −7.88933 | + | 7.48299i | −0.644161 | + | 0.610983i | ||||
\(151\) | −6.26338 | + | 4.55061i | −0.509707 | + | 0.370324i | −0.812712 | − | 0.582665i | \(-0.802010\pi\) |
0.303006 | + | 0.952989i | \(0.402010\pi\) | |||||||
\(152\) | −15.3303 | + | 9.72893i | −1.24346 | + | 0.789121i | ||||
\(153\) | 0.215042 | − | 1.70223i | 0.0173851 | − | 0.137617i | ||||
\(154\) | −21.0699 | − | 2.66174i | −1.69786 | − | 0.214490i | ||||
\(155\) | −5.81196 | + | 2.75263i | −0.466828 | + | 0.221096i | ||||
\(156\) | 2.89046 | + | 1.58905i | 0.231422 | + | 0.127226i | ||||
\(157\) | −7.02035 | − | 2.28105i | −0.560285 | − | 0.182048i | 0.0151645 | − | 0.999885i | \(-0.495173\pi\) |
−0.575449 | + | 0.817837i | \(0.695173\pi\) | |||||||
\(158\) | −4.89278 | + | 2.30237i | −0.389249 | + | 0.183167i | ||||
\(159\) | −7.58424 | − | 1.94730i | −0.601469 | − | 0.154431i | ||||
\(160\) | −6.07972 | + | 4.44039i | −0.480644 | + | 0.351043i | ||||
\(161\) | −17.9510 | + | 21.6990i | −1.41474 | + | 1.71012i | ||||
\(162\) | −10.0175 | − | 6.35727i | −0.787046 | − | 0.499474i | ||||
\(163\) | −12.3896 | + | 0.779485i | −0.970426 | + | 0.0610540i | −0.540083 | − | 0.841612i | \(-0.681607\pi\) |
−0.430342 | + | 0.902666i | \(0.641607\pi\) | |||||||
\(164\) | 0.440652 | + | 0.694357i | 0.0344092 | + | 0.0542202i | ||||
\(165\) | 3.30326 | − | 17.5541i | 0.257159 | − | 1.36658i | ||||
\(166\) | 0.226929 | + | 3.60693i | 0.0176131 | + | 0.279952i | ||||
\(167\) | 15.7842 | + | 3.01100i | 1.22142 | + | 0.232998i | 0.757474 | − | 0.652866i | \(-0.226433\pi\) |
0.463945 | + | 0.885864i | \(0.346433\pi\) | |||||||
\(168\) | 22.7136 | − | 7.38008i | 1.75239 | − | 0.569386i | ||||
\(169\) | 3.46590 | − | 3.25470i | 0.266608 | − | 0.250362i | ||||
\(170\) | −8.09291 | + | 6.72911i | −0.620698 | + | 0.516099i | ||||
\(171\) | 0.473280 | + | 2.48102i | 0.0361926 | + | 0.189728i | ||||
\(172\) | −2.84035 | + | 3.02467i | −0.216575 | + | 0.230629i | ||||
\(173\) | 1.15568 | − | 2.91892i | 0.0878648 | − | 0.221921i | −0.879199 | − | 0.476454i | \(-0.841922\pi\) |
0.967064 | + | 0.254533i | \(0.0819218\pi\) | |||||||
\(174\) | 0.407370 | + | 1.25376i | 0.0308827 | + | 0.0950471i | ||||
\(175\) | 19.9608 | + | 6.37576i | 1.50890 | + | 0.481962i | ||||
\(176\) | −3.16546 | + | 9.74227i | −0.238605 | + | 0.734351i | ||||
\(177\) | 8.48498 | + | 7.01939i | 0.637770 | + | 0.527609i | ||||
\(178\) | 2.56135 | + | 1.20528i | 0.191981 | + | 0.0903394i | ||||
\(179\) | 1.16189 | + | 1.09109i | 0.0868440 | + | 0.0815519i | 0.726754 | − | 0.686898i | \(-0.241028\pi\) |
−0.639910 | + | 0.768450i | \(0.721028\pi\) | |||||||
\(180\) | 0.149145 | + | 0.574925i | 0.0111166 | + | 0.0428524i | ||||
\(181\) | 4.82589 | − | 0.609652i | 0.358706 | − | 0.0453151i | 0.0560847 | − | 0.998426i | \(-0.482138\pi\) |
0.302621 | + | 0.953111i | \(0.402138\pi\) | |||||||
\(182\) | 14.1348i | 1.04774i | ||||||||
\(183\) | 2.50970 | + | 19.8664i | 0.185523 | + | 1.46856i | ||||
\(184\) | 13.1834 | + | 15.9360i | 0.971895 | + | 1.17482i | ||||
\(185\) | −0.0622981 | + | 0.0248455i | −0.00458025 | + | 0.00182668i | ||||
\(186\) | 0.392720 | − | 6.24211i | 0.0287956 | − | 0.457694i | ||||
\(187\) | 4.29971 | − | 16.7463i | 0.314426 | − | 1.22461i | ||||
\(188\) | −1.05770 | + | 4.11945i | −0.0771404 | + | 0.300442i | ||||
\(189\) | −1.25307 | + | 19.9169i | −0.0911472 | + | 1.44874i | ||||
\(190\) | 8.26933 | − | 13.1025i | 0.599920 | − | 0.950556i | ||||
\(191\) | 1.56664 | + | 1.89374i | 0.113358 | + | 0.137026i | 0.824140 | − | 0.566386i | \(-0.191659\pi\) |
−0.710782 | + | 0.703412i | \(0.751659\pi\) | |||||||
\(192\) | −2.01965 | − | 15.9872i | −0.145756 | − | 1.15377i | ||||
\(193\) | − | 0.332654i | − | 0.0239449i | −0.999928 | − | 0.0119725i | \(-0.996189\pi\) | ||
0.999928 | − | 0.0119725i | \(-0.00381105\pi\) | |||||||
\(194\) | 1.08350 | − | 0.136878i | 0.0777909 | − | 0.00982728i | ||||
\(195\) | −11.8667 | − | 0.716880i | −0.849795 | − | 0.0513369i | ||||
\(196\) | −4.77736 | − | 4.48624i | −0.341240 | − | 0.320446i | ||||
\(197\) | −13.8135 | − | 6.50016i | −0.984174 | − | 0.463117i | −0.134779 | − | 0.990876i | \(-0.543033\pi\) |
−0.849394 | + | 0.527759i | \(0.823033\pi\) | |||||||
\(198\) | 1.67175 | + | 1.38299i | 0.118806 | + | 0.0982848i | ||||
\(199\) | 1.48770 | − | 4.57867i | 0.105460 | − | 0.324574i | −0.884378 | − | 0.466772i | \(-0.845417\pi\) |
0.989838 | + | 0.142198i | \(0.0454170\pi\) | |||||||
\(200\) | 7.34641 | − | 13.5224i | 0.519469 | − | 0.956179i | ||||
\(201\) | 7.37864 | + | 22.7091i | 0.520449 | + | 1.60178i | ||||
\(202\) | 2.57824 | − | 6.51189i | 0.181404 | − | 0.458175i | ||||
\(203\) | 1.73904 | − | 1.85189i | 0.122057 | − | 0.129977i | ||||
\(204\) | 0.862566 | + | 4.52173i | 0.0603917 | + | 0.316584i | ||||
\(205\) | −2.50657 | − | 1.58196i | −0.175066 | − | 0.110489i | ||||
\(206\) | −10.4915 | + | 9.85220i | −0.730979 | + | 0.686435i | ||||
\(207\) | 2.73626 | − | 0.889064i | 0.190183 | − | 0.0617942i | ||||
\(208\) | 6.69701 | + | 1.27752i | 0.464354 | + | 0.0885802i | ||||
\(209\) | 1.59812 | + | 25.4014i | 0.110544 | + | 1.75705i | ||||
\(210\) | −14.8212 | + | 13.9878i | −1.02276 | + | 0.965251i | ||||
\(211\) | −10.9834 | − | 17.3071i | −0.756129 | − | 1.19147i | −0.976387 | − | 0.216027i | \(-0.930690\pi\) |
0.220258 | − | 0.975442i | \(-0.429310\pi\) | |||||||
\(212\) | 2.61855 | − | 0.164745i | 0.179843 | − | 0.0113148i | ||||
\(213\) | −19.0625 | − | 12.0975i | −1.30614 | − | 0.828904i | ||||
\(214\) | 9.58005 | − | 11.5803i | 0.654879 | − | 0.791612i | ||||
\(215\) | 4.58579 | − | 14.2343i | 0.312748 | − | 0.970772i | ||||
\(216\) | 14.1957 | + | 3.64484i | 0.965895 | + | 0.248000i | ||||
\(217\) | −10.9057 | + | 5.13183i | −0.740327 | + | 0.348371i | ||||
\(218\) | 0.315766 | + | 0.102599i | 0.0213864 | + | 0.00694886i | ||||
\(219\) | −6.09719 | − | 3.35196i | −0.412010 | − | 0.226504i | ||||
\(220\) | 0.764953 | + | 5.93611i | 0.0515731 | + | 0.400212i | ||||
\(221\) | −11.4165 | − | 1.44224i | −0.767955 | − | 0.0970152i | ||||
\(222\) | 0.00817549 | − | 0.0647157i | 0.000548703 | − | 0.00434343i | ||||
\(223\) | −10.2364 | + | 6.49624i | −0.685482 | + | 0.435020i | −0.832435 | − | 0.554123i | \(-0.813054\pi\) |
0.146952 | + | 0.989144i | \(0.453054\pi\) | |||||||
\(224\) | −11.4154 | + | 8.29380i | −0.762726 | + | 0.554153i | ||||
\(225\) | −1.37277 | − | 1.64264i | −0.0915183 | − | 0.109510i | ||||
\(226\) | 13.2527 | + | 9.62867i | 0.881559 | + | 0.640490i | ||||
\(227\) | 22.0743 | + | 1.38880i | 1.46512 | + | 0.0921776i | 0.775204 | − | 0.631711i | \(-0.217647\pi\) |
0.689917 | + | 0.723888i | \(0.257647\pi\) | |||||||
\(228\) | −3.26457 | − | 5.93822i | −0.216201 | − | 0.393268i | ||||
\(229\) | 10.7465 | − | 22.8375i | 0.710149 | − | 1.50914i | −0.144259 | − | 0.989540i | \(-0.546080\pi\) |
0.854408 | − | 0.519603i | \(-0.173920\pi\) | |||||||
\(230\) | −15.9879 | − | 7.47466i | −1.05421 | − | 0.492865i | ||||
\(231\) | 6.27307 | − | 32.8846i | 0.412738 | − | 2.16365i | ||||
\(232\) | −1.09664 | − | 1.50939i | −0.0719979 | − | 0.0990966i | ||||
\(233\) | −0.157801 | + | 0.287038i | −0.0103379 | + | 0.0188045i | −0.881425 | − | 0.472324i | \(-0.843415\pi\) |
0.871087 | + | 0.491128i | \(0.163415\pi\) | |||||||
\(234\) | 0.773754 | − | 1.21924i | 0.0505819 | − | 0.0797043i | ||||
\(235\) | −2.90992 | − | 15.0503i | −0.189822 | − | 0.981771i | ||||
\(236\) | −3.43078 | − | 1.35834i | −0.223325 | − | 0.0884206i | ||||
\(237\) | −3.13790 | − | 7.92543i | −0.203828 | − | 0.514812i | ||||
\(238\) | −15.1993 | + | 12.5739i | −0.985223 | + | 0.815047i | ||||
\(239\) | −14.1833 | + | 3.64165i | −0.917441 | + | 0.235559i | −0.677752 | − | 0.735291i | \(-0.737046\pi\) |
−0.239689 | + | 0.970850i | \(0.577046\pi\) | |||||||
\(240\) | 5.28781 | + | 8.28650i | 0.341327 | + | 0.534891i | ||||
\(241\) | −15.0561 | + | 5.96114i | −0.969850 | + | 0.383991i | −0.799017 | − | 0.601309i | \(-0.794646\pi\) |
−0.170834 | + | 0.985300i | \(0.554646\pi\) | |||||||
\(242\) | 6.12195 | + | 6.51922i | 0.393534 | + | 0.419071i | ||||
\(243\) | 2.59623 | − | 3.57340i | 0.166548 | − | 0.229234i | ||||
\(244\) | −2.85683 | − | 6.07108i | −0.182890 | − | 0.388661i | ||||
\(245\) | 22.4826 | + | 7.24310i | 1.43636 | + | 0.462745i | ||||
\(246\) | 2.52615 | − | 1.38876i | 0.161062 | − | 0.0885444i | ||||
\(247\) | 16.6396 | − | 3.17417i | 1.05875 | − | 0.201968i | ||||
\(248\) | 2.20133 | + | 8.57362i | 0.139785 | + | 0.544426i | ||||
\(249\) | −5.69704 | −0.361035 | ||||||||
\(250\) | −0.726472 | + | 13.1119i | −0.0459461 | + | 0.829269i | ||||
\(251\) | −6.28616 | −0.396779 | −0.198390 | − | 0.980123i | \(-0.563571\pi\) | ||||
−0.198390 | + | 0.980123i | \(0.563571\pi\) | |||||||
\(252\) | 0.276842 | + | 1.07823i | 0.0174394 | + | 0.0679220i | ||||
\(253\) | 28.4783 | − | 5.43252i | 1.79041 | − | 0.341539i | ||||
\(254\) | 16.6453 | − | 9.15085i | 1.04442 | − | 0.574175i | ||||
\(255\) | −9.78549 | − | 13.3982i | −0.612791 | − | 0.839026i | ||||
\(256\) | 5.66660 | + | 12.0421i | 0.354162 | + | 0.752633i | ||||
\(257\) | −8.43041 | + | 11.6035i | −0.525875 | + | 0.723804i | −0.986495 | − | 0.163793i | \(-0.947627\pi\) |
0.460620 | + | 0.887597i | \(0.347627\pi\) | |||||||
\(258\) | 9.95643 | + | 10.6025i | 0.619860 | + | 0.660084i | ||||
\(259\) | −0.116876 | + | 0.0462745i | −0.00726232 | + | 0.00287535i | ||||
\(260\) | 3.85588 | − | 1.00028i | 0.239132 | − | 0.0620348i | ||||
\(261\) | −0.251381 | + | 0.0645437i | −0.0155601 | + | 0.00399516i | ||||
\(262\) | 14.2715 | − | 11.8064i | 0.881695 | − | 0.729402i | ||||
\(263\) | 5.73994 | + | 14.4974i | 0.353940 | + | 0.893950i | 0.992260 | + | 0.124179i | \(0.0396296\pi\) |
−0.638320 | + | 0.769771i | \(0.720370\pi\) | |||||||
\(264\) | −22.8598 | − | 9.05083i | −1.40692 | − | 0.557040i | ||||
\(265\) | −8.27540 | + | 4.57636i | −0.508354 | + | 0.281123i | ||||
\(266\) | 15.5597 | − | 24.5182i | 0.954028 | − | 1.50331i | ||||
\(267\) | −2.14972 | + | 3.91032i | −0.131561 | + | 0.239308i | ||||
\(268\) | −4.70280 | − | 6.47285i | −0.287269 | − | 0.395392i | ||||
\(269\) | 1.87273 | − | 9.81719i | 0.114182 | − | 0.598565i | −0.878493 | − | 0.477755i | \(-0.841451\pi\) |
0.992676 | − | 0.120810i | \(-0.0385492\pi\) | |||||||
\(270\) | −12.2791 | + | 2.37412i | −0.747283 | + | 0.144485i | ||||
\(271\) | 8.09173 | − | 17.1958i | 0.491538 | − | 1.04457i | −0.493102 | − | 0.869972i | \(-0.664137\pi\) |
0.984640 | − | 0.174599i | \(-0.0558630\pi\) | |||||||
\(272\) | 4.58376 | + | 8.33782i | 0.277931 | + | 0.505555i | ||||
\(273\) | −22.2374 | − | 1.39906i | −1.34587 | − | 0.0846750i | ||||
\(274\) | −0.933489 | − | 0.678219i | −0.0563941 | − | 0.0409727i | ||||
\(275\) | −11.6495 | − | 18.1559i | −0.702494 | − | 1.09484i | ||||
\(276\) | −6.24478 | + | 4.53710i | −0.375891 | + | 0.273101i | ||||
\(277\) | −11.1195 | + | 7.05667i | −0.668108 | + | 0.423994i | −0.826159 | − | 0.563436i | \(-0.809479\pi\) |
0.158051 | + | 0.987431i | \(0.449479\pi\) | |||||||
\(278\) | −1.44365 | + | 11.4277i | −0.0865846 | + | 0.685388i | ||||
\(279\) | 1.22163 | + | 0.154328i | 0.0731371 | + | 0.00923937i | ||||
\(280\) | 13.8319 | − | 25.3095i | 0.826616 | − | 1.51253i | ||||
\(281\) | 0.688148 | + | 0.378313i | 0.0410515 | + | 0.0225682i | 0.502147 | − | 0.864782i | \(-0.332544\pi\) |
−0.461096 | + | 0.887350i | \(0.652544\pi\) | |||||||
\(282\) | 14.1789 | + | 4.60699i | 0.844339 | + | 0.274342i | ||||
\(283\) | −9.30279 | + | 4.37756i | −0.552994 | + | 0.260219i | −0.681910 | − | 0.731437i | \(-0.738850\pi\) |
0.128916 | + | 0.991656i | \(0.458850\pi\) | |||||||
\(284\) | 7.32741 | + | 1.88136i | 0.434802 | + | 0.111638i | ||||
\(285\) | 19.7949 | + | 14.3066i | 1.17255 | + | 0.847447i | ||||
\(286\) | 9.27538 | − | 11.2120i | 0.548464 | − | 0.662980i | ||||
\(287\) | −4.69044 | − | 2.97664i | −0.276868 | − | 0.175706i | ||||
\(288\) | 1.43869 | − | 0.0905147i | 0.0847756 | − | 0.00533363i | ||||
\(289\) | 0.504098 | + | 0.794331i | 0.0296528 | + | 0.0467254i | ||||
\(290\) | 1.39705 | + | 0.763503i | 0.0820376 | + | 0.0448345i | ||||
\(291\) | 0.108097 | + | 1.71816i | 0.00633679 | + | 0.100720i | ||||
\(292\) | 2.29011 | + | 0.436862i | 0.134019 | + | 0.0255654i | ||||
\(293\) | 7.78550 | − | 2.52966i | 0.454834 | − | 0.147784i | −0.0726356 | − | 0.997359i | \(-0.523141\pi\) |
0.527469 | + | 0.849574i | \(0.323141\pi\) | |||||||
\(294\) | −16.7463 | + | 15.7259i | −0.976666 | + | 0.917151i | ||||
\(295\) | 13.2708 | − | 0.868168i | 0.772658 | − | 0.0505467i | ||||
\(296\) | 0.0172987 | + | 0.0906827i | 0.00100546 | + | 0.00527083i | ||||
\(297\) | 14.0637 | − | 14.9763i | 0.816056 | − | 0.869012i | ||||
\(298\) | −0.997256 | + | 2.51878i | −0.0577695 | + | 0.145909i | ||||
\(299\) | −5.96274 | − | 18.3514i | −0.344834 | − | 1.06129i | ||||
\(300\) | 4.86466 | + | 3.05327i | 0.280861 | + | 0.176281i | ||||
\(301\) | 8.66127 | − | 26.6566i | 0.499227 | − | 1.53646i | ||||
\(302\) | −7.00660 | − | 5.79636i | −0.403185 | − | 0.333543i | ||||
\(303\) | 9.98959 | + | 4.70074i | 0.573887 | + | 0.270051i | ||||
\(304\) | −10.2103 | − | 9.58814i | −0.585603 | − | 0.549918i | ||||
\(305\) | 18.6718 | + | 15.3683i | 1.06914 | + | 0.879989i | ||||
\(306\) | 1.99938 | − | 0.252580i | 0.114297 | − | 0.0144391i | ||||
\(307\) | 9.55170i | 0.545144i | 0.962135 | + | 0.272572i | \(0.0878743\pi\) | ||||
−0.962135 | + | 0.272572i | \(0.912126\pi\) | |||||||
\(308\) | 1.40593 | + | 11.1291i | 0.0801104 | + | 0.634139i | ||||
\(309\) | −14.4615 | − | 17.4809i | −0.822683 | − | 0.994453i | ||||
\(310\) | −4.82924 | − | 5.80799i | −0.274282 | − | 0.329872i | ||||
\(311\) | −1.92568 | + | 30.6078i | −0.109195 | + | 1.73561i | 0.438327 | + | 0.898815i | \(0.355571\pi\) |
−0.547522 | + | 0.836791i | \(0.684429\pi\) | |||||||
\(312\) | −4.06949 | + | 15.8496i | −0.230389 | + | 0.897308i | ||||
\(313\) | 0.843290 | − | 3.28440i | 0.0476655 | − | 0.185645i | −0.940292 | − | 0.340368i | \(-0.889448\pi\) |
0.987958 | + | 0.154723i | \(0.0494484\pi\) | |||||||
\(314\) | 0.544406 | − | 8.65308i | 0.0307226 | − | 0.488322i | ||||
\(315\) | −2.56519 | − | 3.08508i | −0.144532 | − | 0.173825i | ||||
\(316\) | 1.82061 | + | 2.20074i | 0.102417 | + | 0.123801i | ||||
\(317\) | 3.74193 | + | 29.6205i | 0.210168 | + | 1.66365i | 0.645786 | + | 0.763519i | \(0.276530\pi\) |
−0.435618 | + | 0.900132i | \(0.643470\pi\) | |||||||
\(318\) | − | 9.19710i | − | 0.515748i | ||||||
\(319\) | −2.59467 | + | 0.327783i | −0.145274 | + | 0.0183523i | ||||
\(320\) | −15.0258 | − | 12.3675i | −0.839970 | − | 0.691362i | ||||
\(321\) | 17.2704 | + | 16.2180i | 0.963939 | + | 0.905199i | ||||
\(322\) | −29.9297 | − | 14.0838i | −1.66792 | − | 0.784861i | ||||
\(323\) | 18.2154 | + | 15.0691i | 1.01353 | + | 0.838467i | ||||
\(324\) | −1.93654 | + | 5.96006i | −0.107586 | + | 0.331114i | ||||
\(325\) | −11.0168 | + | 9.20686i | −0.611103 | + | 0.510705i | ||||
\(326\) | −4.50580 | − | 13.8674i | −0.249553 | − | 0.768047i | ||||
\(327\) | −0.192667 | + | 0.486622i | −0.0106545 | + | 0.0269103i | ||||
\(328\) | −2.79283 | + | 2.97407i | −0.154209 | + | 0.164215i | ||||
\(329\) | −5.38344 | − | 28.2210i | −0.296799 | − | 1.55587i | ||||
\(330\) | 20.9355 | − | 1.36958i | 1.15246 | − | 0.0753931i | ||||
\(331\) | 6.78679 | − | 6.37322i | 0.373036 | − | 0.350304i | −0.475242 | − | 0.879855i | \(-0.657640\pi\) |
0.848278 | + | 0.529551i | \(0.177640\pi\) | |||||||
\(332\) | 1.81551 | − | 0.589896i | 0.0996393 | − | 0.0323748i | ||||
\(333\) | 0.0126147 | + | 0.00240637i | 0.000691279 | + | 0.000131868i | ||||
\(334\) | 1.18510 | + | 18.8366i | 0.0648457 | + | 1.03069i | ||||
\(335\) | 25.3046 | + | 13.8292i | 1.38254 | + | 0.755571i | ||||
\(336\) | 9.87173 | + | 15.5554i | 0.538547 | + | 0.848615i | ||||
\(337\) | 12.3018 | − | 0.773963i | 0.670121 | − | 0.0421604i | 0.275914 | − | 0.961182i | \(-0.411019\pi\) |
0.394207 | + | 0.919022i | \(0.371019\pi\) | |||||||
\(338\) | 4.71514 | + | 2.99232i | 0.256470 | + | 0.162761i | ||||
\(339\) | −16.4600 | + | 19.8967i | −0.893985 | + | 1.08064i | ||||
\(340\) | 4.50572 | + | 3.25645i | 0.244357 | + | 0.176606i | ||||
\(341\) | 12.0182 | + | 3.08575i | 0.650822 | + | 0.167103i | ||||
\(342\) | −2.68431 | + | 1.26314i | −0.145151 | + | 0.0683029i | ||||
\(343\) | 14.2030 | + | 4.61483i | 0.766889 | + | 0.249177i | ||||
\(344\) | −18.0383 | − | 9.91662i | −0.972558 | − | 0.534668i | ||||
\(345\) | 13.3419 | − | 24.4129i | 0.718306 | − | 1.31435i | ||||
\(346\) | 3.65831 | + | 0.462153i | 0.196672 | + | 0.0248455i | ||||
\(347\) | 1.89365 | − | 14.9898i | 0.101656 | − | 0.804693i | −0.856039 | − | 0.516910i | \(-0.827082\pi\) |
0.957696 | − | 0.287782i | \(-0.0929180\pi\) | |||||||
\(348\) | 0.587917 | − | 0.373103i | 0.0315157 | − | 0.0200004i | ||||
\(349\) | −27.7971 | + | 20.1957i | −1.48794 | + | 1.08105i | −0.513055 | + | 0.858356i | \(0.671486\pi\) |
−0.974888 | + | 0.222697i | \(0.928514\pi\) | |||||||
\(350\) | −1.42286 | + | 24.5711i | −0.0760549 | + | 1.31338i | ||||
\(351\) | −11.0622 | − | 8.03715i | −0.590456 | − | 0.428991i | ||||
\(352\) | 14.4974 | + | 0.912102i | 0.772716 | + | 0.0486152i | ||||
\(353\) | −2.86039 | − | 5.20302i | −0.152243 | − | 0.276929i | 0.789177 | − | 0.614166i | \(-0.210508\pi\) |
−0.941420 | + | 0.337237i | \(0.890508\pi\) | |||||||
\(354\) | −5.50721 | + | 11.7034i | −0.292705 | + | 0.622029i | ||||
\(355\) | −26.7704 | + | 5.17597i | −1.42083 | + | 0.274712i | ||||
\(356\) | 0.280173 | − | 1.46872i | 0.0148492 | − | 0.0778420i | ||||
\(357\) | −18.2774 | − | 25.1567i | −0.967345 | − | 1.33144i | ||||
\(358\) | −0.901900 | + | 1.64055i | −0.0476669 | + | 0.0867058i | ||||
\(359\) | 4.36629 | − | 6.88017i | 0.230444 | − | 0.363122i | −0.709354 | − | 0.704853i | \(-0.751013\pi\) |
0.939798 | + | 0.341731i | \(0.111013\pi\) | |||||||
\(360\) | −2.57859 | + | 1.42598i | −0.135904 | + | 0.0751558i | ||||
\(361\) | −14.6915 | − | 5.81678i | −0.773237 | − | 0.306146i | ||||
\(362\) | 2.10323 | + | 5.31215i | 0.110543 | + | 0.279201i | ||||
\(363\) | −10.8623 | + | 8.98605i | −0.570121 | + | 0.471645i | ||||
\(364\) | 7.23141 | − | 1.85671i | 0.379029 | − | 0.0973181i | ||||
\(365\) | −8.13366 | + | 2.11001i | −0.425735 | + | 0.110443i | ||||
\(366\) | −21.8681 | + | 8.65819i | −1.14306 | + | 0.452571i | ||||
\(367\) | 4.48819 | + | 4.77944i | 0.234282 | + | 0.249485i | 0.835357 | − | 0.549708i | \(-0.185261\pi\) |
−0.601075 | + | 0.799192i | \(0.705261\pi\) | |||||||
\(368\) | −9.37797 | + | 12.9077i | −0.488860 | + | 0.672858i | ||||
\(369\) | 0.241645 | + | 0.513521i | 0.0125795 | + | 0.0267328i | ||||
\(370\) | −0.0464632 | − | 0.0636167i | −0.00241550 | − | 0.00330728i | ||||
\(371\) | −15.5312 | + | 8.53837i | −0.806341 | + | 0.443290i | ||||
\(372\) | −3.24508 | + | 0.619032i | −0.168250 | + | 0.0320953i | ||||
\(373\) | −0.688846 | − | 2.68288i | −0.0356671 | − | 0.138914i | 0.948256 | − | 0.317507i | \(-0.102846\pi\) |
−0.983923 | + | 0.178593i | \(0.942846\pi\) | |||||||
\(374\) | 20.3076 | 1.05008 | ||||||||
\(375\) | −20.5563 | − | 2.44073i | −1.06152 | − | 0.126039i | ||||
\(376\) | −21.0995 | −1.08813 | ||||||||
\(377\) | 0.432879 | + | 1.68595i | 0.0222944 | + | 0.0868310i | ||||
\(378\) | −23.0248 | + | 4.39221i | −1.18427 | + | 0.225911i | ||||
\(379\) | −30.0173 | + | 16.5021i | −1.54188 | + | 0.847657i | −0.541909 | + | 0.840437i | \(0.682298\pi\) |
−0.999974 | + | 0.00722050i | \(0.997702\pi\) | |||||||
\(380\) | −7.78955 | − | 2.50951i | −0.399595 | − | 0.128735i | ||||
\(381\) | 12.7490 | + | 27.0929i | 0.653149 | + | 1.38801i | ||||
\(382\) | −1.69682 | + | 2.33547i | −0.0868167 | + | 0.119493i | ||||
\(383\) | −10.4936 | − | 11.1746i | −0.536199 | − | 0.570994i | 0.402636 | − | 0.915360i | \(-0.368094\pi\) |
−0.938836 | + | 0.344366i | \(0.888094\pi\) | |||||||
\(384\) | 6.00578 | − | 2.37786i | 0.306481 | − | 0.121344i | ||||
\(385\) | −21.7488 | − | 34.0825i | −1.10842 | − | 1.73700i | ||||
\(386\) | 0.378447 | − | 0.0971687i | 0.0192625 | − | 0.00494576i | ||||
\(387\) | −2.20633 | + | 1.82523i | −0.112154 | + | 0.0927817i | ||||
\(388\) | −0.212354 | − | 0.536345i | −0.0107806 | − | 0.0272288i | ||||
\(389\) | 8.57826 | + | 3.39637i | 0.434935 | + | 0.172203i | 0.575381 | − | 0.817885i | \(-0.304854\pi\) |
−0.140446 | + | 0.990088i | \(0.544854\pi\) | |||||||
\(390\) | −2.65073 | − | 13.7097i | −0.134225 | − | 0.694219i | ||||
\(391\) | 14.4292 | − | 22.7368i | 0.729716 | − | 1.14985i | ||||
\(392\) | 15.6630 | − | 28.4909i | 0.791100 | − | 1.43901i | ||||
\(393\) | 17.1617 | + | 23.6211i | 0.865696 | + | 1.19153i | ||||
\(394\) | 3.36002 | − | 17.6138i | 0.169275 | − | 0.887372i | ||||
\(395\) | −9.32552 | − | 4.35988i | −0.469218 | − | 0.219369i | ||||
\(396\) | 0.487947 | − | 1.03694i | 0.0245203 | − | 0.0521082i | ||||
\(397\) | 15.1641 | + | 27.5834i | 0.761064 | + | 1.38437i | 0.917927 | + | 0.396750i | \(0.129862\pi\) |
−0.156862 | + | 0.987620i | \(0.550138\pi\) | |||||||
\(398\) | 5.64354 | + | 0.355062i | 0.282885 | + | 0.0177976i | ||||
\(399\) | 37.0330 | + | 26.9060i | 1.85397 | + | 1.34699i | ||||
\(400\) | 11.5131 | + | 2.89492i | 0.575654 | + | 0.144746i | ||||
\(401\) | 30.2876 | − | 22.0052i | 1.51249 | − | 1.09889i | 0.547434 | − | 0.836849i | \(-0.315605\pi\) |
0.965057 | − | 0.262040i | \(-0.0843951\pi\) | |||||||
\(402\) | −23.6800 | + | 15.0278i | −1.18105 | + | 0.749517i | ||||
\(403\) | 1.03504 | − | 8.19319i | 0.0515590 | − | 0.408132i | ||||
\(404\) | −3.67019 | − | 0.463652i | −0.182599 | − | 0.0230676i | ||||
\(405\) | −2.88677 | − | 22.4016i | −0.143445 | − | 1.11314i | ||||
\(406\) | 2.61480 | + | 1.43750i | 0.129770 | + | 0.0713418i | ||||
\(407\) | 0.123074 | + | 0.0399893i | 0.00610057 | + | 0.00198219i | ||||
\(408\) | −20.6634 | + | 9.72346i | −1.02299 | + | 0.481383i | ||||
\(409\) | −23.8269 | − | 6.11771i | −1.17817 | − | 0.302501i | −0.391675 | − | 0.920104i | \(-0.628104\pi\) |
−0.786490 | + | 0.617602i | \(0.788104\pi\) | |||||||
\(410\) | 1.06756 | − | 3.31372i | 0.0527231 | − | 0.163653i | ||||
\(411\) | 1.15940 | − | 1.40148i | 0.0571890 | − | 0.0691297i | ||||
\(412\) | 6.41858 | + | 4.07335i | 0.316221 | + | 0.200680i | ||||
\(413\) | 24.8764 | − | 1.56509i | 1.22409 | − | 0.0770131i | ||||
\(414\) | 1.81072 | + | 2.85324i | 0.0889920 | + | 0.140229i | ||||
\(415\) | −5.00372 | + | 4.72235i | −0.245623 | + | 0.231811i | ||||
\(416\) | −0.607060 | − | 9.64894i | −0.0297636 | − | 0.473078i | ||||
\(417\) | −17.8357 | − | 3.40233i | −0.873416 | − | 0.166613i | ||||
\(418\) | −28.4314 | + | 9.23792i | −1.39063 | + | 0.451842i | ||||
\(419\) | 24.4048 | − | 22.9176i | 1.19225 | − | 1.11960i | 0.202135 | − | 0.979358i | \(-0.435212\pi\) |
0.990117 | − | 0.140242i | \(-0.0447879\pi\) | |||||||
\(420\) | 9.10312 | + | 5.74522i | 0.444187 | + | 0.280338i | ||||
\(421\) | 7.18989 | + | 37.6907i | 0.350414 | + | 1.83693i | 0.523498 | + | 0.852027i | \(0.324627\pi\) |
−0.173085 | + | 0.984907i | \(0.555373\pi\) | |||||||
\(422\) | 16.4813 | − | 17.5508i | 0.802298 | − | 0.854361i | ||||
\(423\) | −1.08048 | + | 2.72899i | −0.0525350 | + | 0.132688i | ||||
\(424\) | 4.02227 | + | 12.3793i | 0.195339 | + | 0.601191i | ||||
\(425\) | −19.7006 | − | 3.65632i | −0.955617 | − | 0.177358i | ||||
\(426\) | 8.19460 | − | 25.2204i | 0.397030 | − | 1.22193i | ||||
\(427\) | 34.9230 | + | 28.8908i | 1.69004 | + | 1.39812i | ||||
\(428\) | −7.18295 | − | 3.38004i | −0.347201 | − | 0.163380i | ||||
\(429\) | 16.7211 | + | 15.7022i | 0.807304 | + | 0.758109i | ||||
\(430\) | 17.5333 | + | 1.05920i | 0.845533 | + | 0.0510794i | ||||
\(431\) | −11.6224 | + | 1.46826i | −0.559833 | + | 0.0707234i | −0.400158 | − | 0.916446i | \(-0.631045\pi\) |
−0.159675 | + | 0.987170i | \(0.551045\pi\) | |||||||
\(432\) | 11.3060i | 0.543962i | ||||||||
\(433\) | −1.59145 | − | 12.5976i | −0.0764803 | − | 0.605404i | −0.983049 | − | 0.183345i | \(-0.941308\pi\) |
0.906568 | − | 0.422059i | \(-0.138692\pi\) | |||||||
\(434\) | −9.02386 | − | 10.9080i | −0.433159 | − | 0.523600i | ||||
\(435\) | −1.33946 | + | 2.12233i | −0.0642220 | + | 0.101758i | ||||
\(436\) | 0.0110116 | − | 0.175025i | 0.000527361 | − | 0.00838217i | ||||
\(437\) | −9.85849 | + | 38.3963i | −0.471595 | + | 1.83674i | ||||
\(438\) | 2.03239 | − | 7.91565i | 0.0971116 | − | 0.378225i | ||||
\(439\) | 0.295159 | − | 4.69143i | 0.0140872 | − | 0.223910i | −0.984684 | − | 0.174349i | \(-0.944218\pi\) |
0.998771 | − | 0.0495606i | \(-0.0157821\pi\) | |||||||
\(440\) | −27.5802 | + | 10.9994i | −1.31483 | + | 0.524376i | ||||
\(441\) | −2.88289 | − | 3.48482i | −0.137281 | − | 0.165944i | ||||
\(442\) | −1.69400 | − | 13.4094i | −0.0805751 | − | 0.637818i | ||||
\(443\) | 0.650810i | 0.0309209i | 0.999880 | + | 0.0154605i | \(0.00492141\pi\) | ||||
−0.999880 | + | 0.0154605i | \(0.995079\pi\) | |||||||
\(444\) | −0.0341828 | + | 0.00431829i | −0.00162224 | + | 0.000204937i | ||||
\(445\) | 1.35322 | + | 5.21638i | 0.0641486 | + | 0.247280i | ||||
\(446\) | −10.3806 | − | 9.74803i | −0.491536 | − | 0.461583i | ||||
\(447\) | −3.86395 | − | 1.81824i | −0.182758 | − | 0.0859996i | ||||
\(448\) | −28.1038 | − | 23.2495i | −1.32778 | − | 1.09843i | ||||
\(449\) | 1.72315 | − | 5.30330i | 0.0813203 | − | 0.250278i | −0.902128 | − | 0.431469i | \(-0.857995\pi\) |
0.983448 | + | 0.181191i | \(0.0579953\pi\) | |||||||
\(450\) | 1.46778 | − | 2.04157i | 0.0691920 | − | 0.0962406i | ||||
\(451\) | 1.76726 | + | 5.43905i | 0.0832168 | + | 0.256115i | ||||
\(452\) | 3.18523 | − | 8.04497i | 0.149820 | − | 0.378403i | ||||
\(453\) | 9.81261 | − | 10.4494i | 0.461036 | − | 0.490954i | ||||
\(454\) | 4.86796 | + | 25.5187i | 0.228465 | + | 1.19765i | ||||
\(455\) | −20.6909 | + | 17.2041i | −0.970004 | + | 0.806541i | ||||
\(456\) | 24.5064 | − | 23.0130i | 1.14762 | − | 1.07768i | ||||
\(457\) | 37.3366 | − | 12.1314i | 1.74653 | − | 0.567483i | 0.750863 | − | 0.660457i | \(-0.229638\pi\) |
0.995668 | + | 0.0929748i | \(0.0296376\pi\) | |||||||
\(458\) | 29.1204 | + | 5.55501i | 1.36071 | + | 0.259569i | ||||
\(459\) | −1.19821 | − | 19.0450i | −0.0559275 | − | 0.888942i | ||||
\(460\) | −1.72394 | + | 9.16132i | −0.0803793 | + | 0.427149i | ||||
\(461\) | −9.30153 | − | 14.6569i | −0.433215 | − | 0.682638i | 0.555656 | − | 0.831412i | \(-0.312467\pi\) |
−0.988871 | + | 0.148774i | \(0.952467\pi\) | |||||||
\(462\) | 39.2439 | − | 2.46902i | 1.82579 | − | 0.114869i | ||||
\(463\) | −24.7433 | − | 15.7026i | −1.14992 | − | 0.729761i | −0.182566 | − | 0.983194i | \(-0.558440\pi\) |
−0.967353 | + | 0.253433i | \(0.918440\pi\) | |||||||
\(464\) | 0.917411 | − | 1.10896i | 0.0425897 | − | 0.0514821i | ||||
\(465\) | 9.61538 | − | 7.02270i | 0.445903 | − | 0.325670i | ||||
\(466\) | −0.372646 | − | 0.0956794i | −0.0172625 | − | 0.00443226i | ||||
\(467\) | −27.9505 | + | 13.1525i | −1.29339 | + | 0.608625i | −0.944492 | − | 0.328535i | \(-0.893445\pi\) |
−0.348902 | + | 0.937159i | \(0.613445\pi\) | |||||||
\(468\) | −0.725409 | − | 0.235700i | −0.0335320 | − | 0.0108952i | ||||
\(469\) | 47.3614 | + | 26.0372i | 2.18695 | + | 1.20228i | ||||
\(470\) | 16.2721 | − | 7.70671i | 0.750577 | − | 0.355484i | ||||
\(471\) | 13.5595 | + | 1.71297i | 0.624789 | + | 0.0789293i | ||||
\(472\) | 2.29431 | − | 18.1613i | 0.105604 | − | 0.835942i | ||||
\(473\) | −24.3627 | + | 15.4610i | −1.12020 | + | 0.710899i | ||||
\(474\) | 8.09987 | − | 5.88490i | 0.372039 | − | 0.270302i | ||||
\(475\) | 29.2448 | − | 3.84280i | 1.34185 | − | 0.176320i | ||||
\(476\) | 8.42944 | + | 6.12434i | 0.386363 | + | 0.280709i | ||||
\(477\) | 1.80710 | + | 0.113693i | 0.0827414 | + | 0.00520565i | ||||
\(478\) | −8.28593 | − | 15.0721i | −0.378990 | − | 0.689380i | ||||
\(479\) | −12.7539 | + | 27.1035i | −0.582742 | + | 1.23839i | 0.368410 | + | 0.929664i | \(0.379902\pi\) |
−0.951151 | + | 0.308725i | \(0.900098\pi\) | |||||||
\(480\) | 9.51682 | − | 10.1852i | 0.434381 | − | 0.464887i | ||||
\(481\) | 0.0161390 | − | 0.0846034i | 0.000735874 | − | 0.00385758i | ||||
\(482\) | −11.1797 | − | 15.3875i | −0.509221 | − | 0.700882i | ||||
\(483\) | 25.1197 | − | 45.6926i | 1.14299 | − | 2.07909i | ||||
\(484\) | 2.53110 | − | 3.98837i | 0.115050 | − | 0.181290i | ||||
\(485\) | 1.51915 | + | 1.41946i | 0.0689810 | + | 0.0644544i | ||||
\(486\) | 4.82369 | + | 1.90983i | 0.218807 | + | 0.0866317i | ||||
\(487\) | −6.16305 | − | 15.5661i | −0.279275 | − | 0.705367i | −0.999927 | − | 0.0120707i | \(-0.996158\pi\) |
0.720653 | − | 0.693296i | \(-0.243842\pi\) | |||||||
\(488\) | 25.6478 | − | 21.2177i | 1.16102 | − | 0.960482i | ||||
\(489\) | 22.2628 | − | 5.71613i | 1.00676 | − | 0.258492i | ||||
\(490\) | −1.67298 | + | 27.6933i | −0.0755775 | + | 1.25106i | ||||
\(491\) | −39.3455 | + | 15.5780i | −1.77564 | + | 0.703025i | −0.778481 | + | 0.627668i | \(0.784010\pi\) |
−0.997157 | + | 0.0753571i | \(0.975990\pi\) | |||||||
\(492\) | −1.04233 | − | 1.10997i | −0.0469918 | − | 0.0500412i | ||||
\(493\) | −1.42785 | + | 1.96526i | −0.0643070 | + | 0.0885110i | ||||
\(494\) | 8.47159 | + | 18.0030i | 0.381155 | + | 0.809995i | ||||
\(495\) | 0.0103026 | + | 4.13046i | 0.000463068 | + | 0.185650i | ||||
\(496\) | −5.98375 | + | 3.28960i | −0.268679 | + | 0.147707i | ||||
\(497\) | −50.1976 | + | 9.57570i | −2.25167 | + | 0.429529i | ||||
\(498\) | −1.66412 | − | 6.48130i | −0.0745708 | − | 0.290434i | ||||
\(499\) | −7.04602 | −0.315423 | −0.157712 | − | 0.987485i | \(-0.550412\pi\) | ||||
−0.157712 | + | 0.987485i | \(0.550412\pi\) | |||||||
\(500\) | 6.80354 | − | 1.35068i | 0.304264 | − | 0.0604044i | ||||
\(501\) | −29.7519 | −1.32922 | ||||||||
\(502\) | −1.83620 | − | 7.15152i | −0.0819536 | − | 0.319188i | ||||
\(503\) | −11.7346 | + | 2.23849i | −0.523219 | + | 0.0998094i | −0.442223 | − | 0.896905i | \(-0.645810\pi\) |
−0.0809961 | + | 0.996714i | \(0.525810\pi\) | |||||||
\(504\) | −4.83949 | + | 2.66053i | −0.215568 | + | 0.118510i | ||||
\(505\) | 12.6704 | − | 4.15183i | 0.563825 | − | 0.184754i | ||||
\(506\) | 14.4989 | + | 30.8118i | 0.644555 | + | 1.36975i | ||||
\(507\) | −5.17436 | + | 7.12189i | −0.229801 | + | 0.316294i | ||||
\(508\) | −6.86811 | − | 7.31380i | −0.304723 | − | 0.324497i | ||||
\(509\) | 31.2031 | − | 12.3542i | 1.38305 | − | 0.547589i | 0.445453 | − | 0.895306i | \(-0.353043\pi\) |
0.937600 | + | 0.347716i | \(0.113043\pi\) | |||||||
\(510\) | 12.3842 | − | 15.0462i | 0.548383 | − | 0.666257i | ||||
\(511\) | −15.2541 | + | 3.91658i | −0.674800 | + | 0.173259i | ||||
\(512\) | −17.4208 | + | 14.4117i | −0.769898 | + | 0.636915i | ||||
\(513\) | 10.3411 | + | 26.1187i | 0.456571 | + | 1.15317i | ||||
\(514\) | −15.6634 | − | 6.20156i | −0.690881 | − | 0.273539i | ||||
\(515\) | −27.1917 | − | 3.36622i | −1.19821 | − | 0.148334i | ||||
\(516\) | 4.11645 | − | 6.48649i | 0.181217 | − | 0.285552i | ||||
\(517\) | −14.2486 | + | 25.9182i | −0.626654 | + | 1.13988i | ||||
\(518\) | −0.0867843 | − | 0.119448i | −0.00381308 | − | 0.00524826i | ||||
\(519\) | −1.08918 | + | 5.70968i | −0.0478096 | + | 0.250627i | ||||
\(520\) | 9.56371 | + | 17.2940i | 0.419397 | + | 0.758393i | ||||
\(521\) | −5.96452 | + | 12.6753i | −0.261310 | + | 0.555313i | −0.991828 | − | 0.127581i | \(-0.959279\pi\) |
0.730518 | + | 0.682894i | \(0.239279\pi\) | |||||||
\(522\) | −0.146858 | − | 0.267133i | −0.00642779 | − | 0.0116921i | ||||
\(523\) | 43.4241 | + | 2.73202i | 1.89880 | + | 0.119463i | 0.968763 | − | 0.247990i | \(-0.0797700\pi\) |
0.930042 | + | 0.367453i | \(0.119770\pi\) | |||||||
\(524\) | −7.91488 | − | 5.75050i | −0.345763 | − | 0.251212i | ||||
\(525\) | −38.5154 | − | 4.67055i | −1.68095 | − | 0.203839i | ||||
\(526\) | −14.8165 | + | 10.7648i | −0.646031 | + | 0.469369i | ||||
\(527\) | 9.73098 | − | 6.17547i | 0.423888 | − | 0.269008i | ||||
\(528\) | 2.37711 | − | 18.8168i | 0.103451 | − | 0.818896i | ||||
\(529\) | 21.9808 | + | 2.77683i | 0.955689 | + | 0.120732i | ||||
\(530\) | −7.62360 | − | 8.07784i | −0.331148 | − | 0.350879i | ||||
\(531\) | −2.23147 | − | 1.22676i | −0.0968377 | − | 0.0532370i | ||||
\(532\) | −14.5875 | − | 4.73977i | −0.632449 | − | 0.205495i | ||||
\(533\) | 3.44406 | − | 1.62065i | 0.149179 | − | 0.0701983i | ||||
\(534\) | −5.07656 | − | 1.30344i | −0.219684 | − | 0.0564053i | ||||
\(535\) | 28.6119 | − | 0.0713669i | 1.23700 | − | 0.00308546i | ||||
\(536\) | 25.3009 | − | 30.5836i | 1.09283 | − | 1.32101i | ||||
\(537\) | −2.49172 | − | 1.58129i | −0.107525 | − | 0.0682377i | ||||
\(538\) | 11.7157 | − | 0.737088i | 0.505098 | − | 0.0317781i | ||||
\(539\) | −24.4202 | − | 38.4801i | −1.05185 | − | 1.65745i | ||||
\(540\) | 2.82757 | + | 5.97020i | 0.121679 | + | 0.256916i | ||||
\(541\) | 2.38981 | + | 37.9849i | 0.102746 | + | 1.63310i | 0.625224 | + | 0.780445i | \(0.285007\pi\) |
−0.522479 | + | 0.852652i | \(0.674993\pi\) | |||||||
\(542\) | 21.9266 | + | 4.18273i | 0.941829 | + | 0.179663i | ||||
\(543\) | −8.56549 | + | 2.78309i | −0.367580 | + | 0.119434i | ||||
\(544\) | 9.83560 | − | 9.23624i | 0.421698 | − | 0.396001i | ||||
\(545\) | 0.234147 | + | 0.587106i | 0.0100298 | + | 0.0251489i | ||||
\(546\) | −4.90393 | − | 25.7073i | −0.209869 | − | 1.10017i | ||||
\(547\) | −17.6460 | + | 18.7911i | −0.754488 | + | 0.803448i | −0.985531 | − | 0.169495i | \(-0.945786\pi\) |
0.231043 | + | 0.972944i | \(0.425786\pi\) | |||||||
\(548\) | −0.224359 | + | 0.566667i | −0.00958416 | + | 0.0242068i | ||||
\(549\) | −1.43088 | − | 4.40380i | −0.0610686 | − | 0.187950i | ||||
\(550\) | 17.2524 | − | 18.5566i | 0.735646 | − | 0.791257i | ||||
\(551\) | 1.10504 | − | 3.40098i | 0.0470765 | − | 0.144887i | ||||
\(552\) | −29.5060 | − | 24.4094i | −1.25586 | − | 1.03894i | ||||
\(553\) | −17.4576 | − | 8.21492i | −0.742373 | − | 0.349334i | ||||
\(554\) | −11.2761 | − | 10.5890i | −0.479077 | − | 0.449884i | ||||
\(555\) | 0.104684 | − | 0.0668011i | 0.00444357 | − | 0.00283555i | ||||
\(556\) | 6.03610 | − | 0.762537i | 0.255988 | − | 0.0323388i | ||||
\(557\) | − | 26.2392i | − | 1.11179i | −0.831253 | − | 0.555894i | \(-0.812376\pi\) | ||
0.831253 | − | 0.555894i | \(-0.187624\pi\) | |||||||
\(558\) | 0.181268 | + | 1.43488i | 0.00767368 | + | 0.0607434i | ||||
\(559\) | 12.2414 | + | 14.7973i | 0.517755 | + | 0.625859i | ||||
\(560\) | 21.5644 | + | 5.47950i | 0.911263 | + | 0.231551i | ||||
\(561\) | −2.01004 | + | 31.9487i | −0.0848641 | + | 1.34888i | ||||
\(562\) | −0.229382 | + | 0.893385i | −0.00967591 | + | 0.0376852i | ||||
\(563\) | 7.98040 | − | 31.0816i | 0.336334 | − | 1.30993i | −0.545396 | − | 0.838178i | \(-0.683621\pi\) |
0.881730 | − | 0.471755i | \(-0.156379\pi\) | |||||||
\(564\) | 0.494455 | − | 7.85914i | 0.0208203 | − | 0.330929i | ||||
\(565\) | 2.03580 | + | 31.1193i | 0.0856467 | + | 1.30920i | ||||
\(566\) | −7.69754 | − | 9.30473i | −0.323552 | − | 0.391107i | ||||
\(567\) | −5.30568 | − | 41.9988i | −0.222818 | − | 1.76378i | ||||
\(568\) | 37.5305i | 1.57474i | ||||||||
\(569\) | −7.07257 | + | 0.893474i | −0.296498 | + | 0.0374564i | −0.272175 | − | 0.962248i | \(-0.587743\pi\) |
−0.0243227 | + | 0.999704i | \(0.507743\pi\) | |||||||
\(570\) | −10.4939 | + | 26.6989i | −0.439540 | + | 1.11829i | ||||
\(571\) | −19.6719 | − | 18.4731i | −0.823243 | − | 0.773077i | 0.153350 | − | 0.988172i | \(-0.450994\pi\) |
−0.976593 | + | 0.215095i | \(0.930994\pi\) | |||||||
\(572\) | −6.95451 | − | 3.27254i | −0.290783 | − | 0.136832i | ||||
\(573\) | −3.50631 | − | 2.90067i | −0.146478 | − | 0.121177i | ||||
\(574\) | 2.01633 | − | 6.20562i | 0.0841598 | − | 0.259017i | ||||
\(575\) | −8.51796 | − | 32.5013i | −0.355223 | − | 1.35540i | ||||
\(576\) | 1.15148 | + | 3.54390i | 0.0479784 | + | 0.147662i | ||||
\(577\) | 11.6417 | − | 29.4035i | 0.484650 | − | 1.22408i | −0.457595 | − | 0.889160i | \(-0.651289\pi\) |
0.942245 | − | 0.334924i | \(-0.108711\pi\) | |||||||
\(578\) | −0.756432 | + | 0.805518i | −0.0314634 | + | 0.0335052i | ||||
\(579\) | 0.115411 | + | 0.605007i | 0.00479633 | + | 0.0251432i | ||||
\(580\) | 0.207099 | − | 0.815030i | 0.00859930 | − | 0.0338423i | ||||
\(581\) | −9.40011 | + | 8.82729i | −0.389982 | + | 0.366218i | ||||
\(582\) | −1.92311 | + | 0.624856i | −0.0797154 | + | 0.0259011i | ||||
\(583\) | 17.9227 | + | 3.41893i | 0.742282 | + | 0.141598i | ||||
\(584\) | 0.726243 | + | 11.5433i | 0.0300522 | + | 0.477665i | ||||
\(585\) | 2.72654 | − | 0.351353i | 0.112728 | − | 0.0145267i | ||||
\(586\) | 5.15206 | + | 8.11834i | 0.212829 | + | 0.335366i | ||||
\(587\) | 15.0295 | − | 0.945576i | 0.620334 | − | 0.0390281i | 0.250486 | − | 0.968120i | \(-0.419410\pi\) |
0.369848 | + | 0.929092i | \(0.379410\pi\) | |||||||
\(588\) | 10.2452 | + | 6.50180i | 0.422505 | + | 0.268130i | ||||
\(589\) | −10.8145 | + | 13.0725i | −0.445606 | + | 0.538645i | ||||
\(590\) | 4.86412 | + | 14.8441i | 0.200253 | + | 0.611123i | ||||
\(591\) | 27.3783 | + | 7.02955i | 1.12619 | + | 0.289157i | ||||
\(592\) | −0.0644380 | + | 0.0303222i | −0.00264838 | + | 0.00124623i | ||||
\(593\) | −23.2363 | − | 7.54993i | −0.954200 | − | 0.310039i | −0.209779 | − | 0.977749i | \(-0.567275\pi\) |
−0.744421 | + | 0.667710i | \(0.767275\pi\) | |||||||
\(594\) | 21.1460 | + | 11.6251i | 0.867629 | + | 0.476983i | ||||
\(595\) | −36.9059 | − | 6.94482i | −1.51299 | − | 0.284710i | ||||
\(596\) | 1.41962 | + | 0.179339i | 0.0581498 | + | 0.00734603i | ||||
\(597\) | −1.11720 | + | 8.84352i | −0.0457238 | + | 0.361941i | ||||
\(598\) | 19.1360 | − | 12.1441i | 0.782528 | − | 0.496607i | ||||
\(599\) | 23.7091 | − | 17.2257i | 0.968727 | − | 0.703821i | 0.0135659 | − | 0.999908i | \(-0.495682\pi\) |
0.955161 | + | 0.296087i | \(0.0956817\pi\) | |||||||
\(600\) | −8.66965 | + | 27.1424i | −0.353937 | + | 1.10808i | ||||
\(601\) | 7.65177 | + | 5.55934i | 0.312122 | + | 0.226770i | 0.732807 | − | 0.680437i | \(-0.238210\pi\) |
−0.420684 | + | 0.907207i | \(0.638210\pi\) | |||||||
\(602\) | 32.8562 | + | 2.06714i | 1.33912 | + | 0.0842502i | ||||
\(603\) | −2.66001 | − | 4.83855i | −0.108324 | − | 0.197041i | ||||
\(604\) | −2.04508 | + | 4.34601i | −0.0832130 | + | 0.176837i | ||||
\(605\) | −2.09170 | + | 16.8963i | −0.0850397 | + | 0.686934i | ||||
\(606\) | −2.42988 | + | 12.7379i | −0.0987070 | + | 0.517440i | ||||
\(607\) | 14.0688 | + | 19.3641i | 0.571036 | + | 0.785964i | 0.992677 | − | 0.120799i | \(-0.0385457\pi\) |
−0.421641 | + | 0.906763i | \(0.638546\pi\) | |||||||
\(608\) | −9.56867 | + | 17.4053i | −0.388061 | + | 0.705880i | ||||
\(609\) | −2.52035 | + | 3.97143i | −0.102130 | + | 0.160930i | ||||
\(610\) | −12.0299 | + | 25.7313i | −0.487077 | + | 1.04183i | ||||
\(611\) | 18.3027 | + | 7.24655i | 0.740448 | + | 0.293164i | ||||
\(612\) | −0.391855 | − | 0.989714i | −0.0158398 | − | 0.0400068i | ||||
\(613\) | −31.3595 | + | 25.9428i | −1.26660 | + | 1.04782i | −0.270218 | + | 0.962799i | \(0.587096\pi\) |
−0.996379 | + | 0.0850216i | \(0.972904\pi\) | |||||||
\(614\) | −10.8666 | + | 2.79007i | −0.438540 | + | 0.112598i | ||||
\(615\) | 5.10762 | + | 2.00753i | 0.205959 | + | 0.0809513i | ||||
\(616\) | −51.7424 | + | 20.4863i | −2.08476 | + | 0.825416i | ||||
\(617\) | −2.33924 | − | 2.49104i | −0.0941744 | − | 0.100286i | 0.680155 | − | 0.733068i | \(-0.261913\pi\) |
−0.774329 | + | 0.632783i | \(0.781913\pi\) | |||||||
\(618\) | 15.6631 | − | 21.5584i | 0.630063 | − | 0.867208i | ||||
\(619\) | −6.92172 | − | 14.7094i | −0.278207 | − | 0.591221i | 0.716073 | − | 0.698026i | \(-0.245938\pi\) |
−0.994280 | + | 0.106805i | \(0.965938\pi\) | |||||||
\(620\) | −2.33704 | + | 3.23359i | −0.0938577 | + | 0.129864i | ||||
\(621\) | 28.0406 | − | 15.4154i | 1.12523 | − | 0.618601i | ||||
\(622\) | −35.3838 | + | 6.74981i | −1.41876 | + | 0.270643i | ||||
\(623\) | 2.51183 | + | 9.78291i | 0.100634 | + | 0.391944i | ||||
\(624\) | −12.6233 | −0.505335 | ||||||||
\(625\) | −20.0778 | + | 14.8957i | −0.803112 | + | 0.595828i | ||||
\(626\) | 3.98286 | 0.159187 | ||||||||
\(627\) | −11.7194 | − | 45.6439i | −0.468026 | − | 1.82284i | ||||
\(628\) | −4.49847 | + | 0.858129i | −0.179509 | + | 0.0342431i | ||||
\(629\) | 0.105332 | − | 0.0579067i | 0.00419986 | − | 0.00230889i | ||||
\(630\) | 2.76048 | − | 3.81947i | 0.109980 | − | 0.152171i | ||||
\(631\) | −20.6803 | − | 43.9479i | −0.823270 | − | 1.74954i | −0.642915 | − | 0.765937i | \(-0.722275\pi\) |
−0.180355 | − | 0.983602i | \(-0.557725\pi\) | |||||||
\(632\) | −8.32870 | + | 11.4635i | −0.331298 | + | 0.455992i | ||||
\(633\) | 25.9804 | + | 27.6663i | 1.03263 | + | 1.09964i | ||||
\(634\) | −32.6050 | + | 12.9092i | −1.29491 | + | 0.512692i | ||||
\(635\) | 33.6551 | + | 13.2280i | 1.33556 | + | 0.524937i | ||||
\(636\) | −4.70528 | + | 1.20811i | −0.186577 | + | 0.0479047i | ||||
\(637\) | −23.3718 | + | 19.3349i | −0.926026 | + | 0.766075i | ||||
\(638\) | −1.13081 | − | 2.85611i | −0.0447694 | − | 0.113075i | ||||
\(639\) | 4.85415 | + | 1.92189i | 0.192027 | + | 0.0760289i | ||||
\(640\) | 3.30386 | − | 7.06675i | 0.130596 | − | 0.279338i | ||||
\(641\) | −3.88435 | + | 6.12075i | −0.153423 | + | 0.241755i | −0.912342 | − | 0.409430i | \(-0.865728\pi\) |
0.758919 | + | 0.651185i | \(0.225728\pi\) | |||||||
\(642\) | −13.4058 | + | 24.3851i | −0.529087 | + | 0.962405i | ||||
\(643\) | 15.7879 | + | 21.7302i | 0.622614 | + | 0.856955i | 0.997540 | − | 0.0700996i | \(-0.0223317\pi\) |
−0.374926 | + | 0.927055i | \(0.622332\pi\) | |||||||
\(644\) | −3.27386 | + | 17.1622i | −0.129008 | + | 0.676285i | ||||
\(645\) | −3.40184 | + | 27.4794i | −0.133947 | + | 1.08200i | ||||
\(646\) | −11.8228 | + | 25.1247i | −0.465161 | + | 0.988517i | ||||
\(647\) | −5.97764 | − | 10.8733i | −0.235005 | − | 0.427473i | 0.732339 | − | 0.680941i | \(-0.238429\pi\) |
−0.967344 | + | 0.253468i | \(0.918429\pi\) | |||||||
\(648\) | −31.0282 | − | 1.95213i | −1.21890 | − | 0.0766869i | ||||
\(649\) | −20.7595 | − | 15.0827i | −0.814883 | − | 0.592047i | ||||
\(650\) | −13.6923 | − | 9.84407i | −0.537057 | − | 0.386116i | ||||
\(651\) | 18.0541 | − | 13.1171i | 0.707595 | − | 0.514098i | ||||
\(652\) | −6.50278 | + | 4.12679i | −0.254668 | + | 0.161618i | ||||
\(653\) | 3.00472 | − | 23.7848i | 0.117584 | − | 0.930772i | −0.817397 | − | 0.576075i | \(-0.804584\pi\) |
0.934981 | − | 0.354698i | \(-0.115416\pi\) | |||||||
\(654\) | −0.609890 | − | 0.0770470i | −0.0238486 | − | 0.00301278i | ||||
\(655\) | 34.6531 | + | 6.52089i | 1.35401 | + | 0.254792i | ||||
\(656\) | −2.75796 | − | 1.51620i | −0.107680 | − | 0.0591978i | ||||
\(657\) | 1.53019 | + | 0.497189i | 0.0596984 | + | 0.0193972i | ||||
\(658\) | 30.5334 | − | 14.3679i | 1.19032 | − | 0.560120i | ||||
\(659\) | −5.77285 | − | 1.48222i | −0.224878 | − | 0.0577390i | 0.134569 | − | 0.990904i | \(-0.457035\pi\) |
−0.359448 | + | 0.933165i | \(0.617035\pi\) | |||||||
\(660\) | −3.45073 | − | 10.5308i | −0.134319 | − | 0.409910i | ||||
\(661\) | −5.19478 | + | 6.27941i | −0.202054 | + | 0.244241i | −0.861801 | − | 0.507247i | \(-0.830663\pi\) |
0.659747 | + | 0.751488i | \(0.270663\pi\) | |||||||
\(662\) | 9.23301 | + | 5.85944i | 0.358851 | + | 0.227734i | ||||
\(663\) | 21.2638 | − | 1.33781i | 0.825819 | − | 0.0519562i | ||||
\(664\) | 5.07444 | + | 7.99604i | 0.196926 | + | 0.310306i | ||||
\(665\) | 54.8290 | − | 7.06549i | 2.12618 | − | 0.273988i | ||||
\(666\) | 0.000947124 | 0.0150541i | 3.67003e−5 | 0.000583335i | ||||||
\(667\) | −4.00124 | − | 0.763278i | −0.154929 | − | 0.0295542i | ||||
\(668\) | 9.48123 | − | 3.08064i | 0.366840 | − | 0.119193i | ||||
\(669\) | 16.3635 | − | 15.3663i | 0.632649 | − | 0.594097i | ||||
\(670\) | −8.34146 | + | 32.8276i | −0.322259 | + | 1.26824i | ||||
\(671\) | −8.74324 | − | 45.8336i | −0.337529 | − | 1.76939i | ||||
\(672\) | 17.8841 | − | 19.0447i | 0.689895 | − | 0.734664i | ||||
\(673\) | −0.0269045 | + | 0.0679530i | −0.00103709 | + | 0.00261940i | −0.930294 | − | 0.366814i | \(-0.880448\pi\) |
0.929257 | + | 0.369434i | \(0.120448\pi\) | |||||||
\(674\) | 4.47388 | + | 13.7692i | 0.172327 | + | 0.530369i | ||||
\(675\) | −18.4208 | − | 15.0849i | −0.709018 | − | 0.580617i | ||||
\(676\) | 0.911515 | − | 2.80536i | 0.0350583 | − | 0.107898i | ||||
\(677\) | 1.72419 | + | 1.42637i | 0.0662658 | + | 0.0548199i | 0.669967 | − | 0.742391i | \(-0.266308\pi\) |
−0.603701 | + | 0.797210i | \(0.706308\pi\) | |||||||
\(678\) | −27.4437 | − | 12.9140i | −1.05397 | − | 0.495961i | ||||
\(679\) | 2.84057 | + | 2.66747i | 0.109011 | + | 0.102368i | ||||
\(680\) | −10.0888 | + | 25.6683i | −0.386888 | + | 0.984335i | ||||
\(681\) | −40.6290 | + | 5.13264i | −1.55691 | + | 0.196683i | ||||
\(682\) | 14.5740i | 0.558067i | ||||||||
\(683\) | 3.86144 | + | 30.5665i | 0.147754 | + | 1.16959i | 0.875316 | + | 0.483551i | \(0.160653\pi\) |
−0.727562 | + | 0.686042i | \(0.759347\pi\) | |||||||
\(684\) | 0.998835 | + | 1.20738i | 0.0381914 | + | 0.0461655i | ||||
\(685\) | −0.143397 | − | 2.19196i | −0.00547890 | − | 0.0837506i | ||||
\(686\) | −1.10140 | + | 17.5062i | −0.0420515 | + | 0.668390i | ||||
\(687\) | −11.6217 | + | 45.2636i | −0.443396 | + | 1.72691i | ||||
\(688\) | 3.94900 | − | 15.3803i | 0.150554 | − | 0.586370i | ||||
\(689\) | 0.762512 | − | 12.1198i | 0.0290494 | − | 0.461727i | ||||
\(690\) | 31.6709 | + | 8.04755i | 1.20569 | + | 0.306365i | ||||
\(691\) | −9.77263 | − | 11.8131i | −0.371769 | − | 0.449391i | 0.551139 | − | 0.834414i | \(-0.314194\pi\) |
−0.922907 | + | 0.385023i | \(0.874194\pi\) | |||||||
\(692\) | −0.244109 | − | 1.93232i | −0.00927962 | − | 0.0734558i | ||||
\(693\) | 7.74139i | 0.294071i | ||||||||
\(694\) | 17.6064 | − | 2.22421i | 0.668330 | − | 0.0844298i | ||||
\(695\) | −18.4853 | + | 11.7959i | −0.701189 | + | 0.447445i | ||||
\(696\) | 2.51816 | + | 2.36471i | 0.0954507 | + | 0.0896342i | ||||
\(697\) | 4.80646 | + | 2.26175i | 0.182058 | + | 0.0856698i | ||||
\(698\) | −31.0955 | − | 25.7244i | −1.17698 | − | 0.973684i | ||||
\(699\) | 0.187411 | − | 0.576793i | 0.00708855 | − | 0.0218163i | ||||
\(700\) | 12.7576 | − | 2.49966i | 0.482191 | − | 0.0944783i | ||||
\(701\) | −0.682588 | − | 2.10079i | −0.0257810 | − | 0.0793458i | 0.937338 | − | 0.348421i | \(-0.113282\pi\) |
−0.963119 | + | 0.269075i | \(0.913282\pi\) | |||||||
\(702\) | 5.91227 | − | 14.9327i | 0.223144 | − | 0.563598i | ||||
\(703\) | −0.121127 | + | 0.128987i | −0.00456840 | + | 0.00486485i | ||||
\(704\) | 7.03600 | + | 36.8840i | 0.265179 | + | 1.39012i | ||||
\(705\) | 10.5139 | + | 26.3628i | 0.395977 | + | 0.992881i | ||||
\(706\) | 5.08376 | − | 4.77396i | 0.191330 | − | 0.179671i | ||||
\(707\) | 23.7664 | − | 7.72217i | 0.893827 | − | 0.290422i | ||||
\(708\) | 6.71094 | + | 1.28018i | 0.252212 | + | 0.0481121i | ||||
\(709\) | −2.24150 | − | 35.6277i | −0.0841814 | − | 1.33803i | −0.782685 | − | 0.622419i | \(-0.786150\pi\) |
0.698503 | − | 0.715607i | \(-0.253850\pi\) | |||||||
\(710\) | −13.7082 | − | 28.9438i | −0.514459 | − | 1.08624i | ||||
\(711\) | 1.05617 | + | 1.66426i | 0.0396095 | + | 0.0624145i | ||||
\(712\) | 7.40309 | − | 0.465763i | 0.277442 | − | 0.0174552i | ||||
\(713\) | 16.3174 | + | 10.3553i | 0.611090 | + | 0.387809i | ||||
\(714\) | 23.2810 | − | 28.1419i | 0.871269 | − | 1.05318i | ||||
\(715\) | 27.7020 | − | 0.0690972i | 1.03599 | − | 0.00258409i | ||||
\(716\) | 0.957786 | + | 0.245918i | 0.0357941 | + | 0.00919037i | ||||
\(717\) | 24.5322 | − | 11.5440i | 0.916170 | − | 0.431117i | ||||
\(718\) | 9.10271 | + | 2.95765i | 0.339710 | + | 0.110379i | ||||
\(719\) | −10.6800 | − | 5.87137i | −0.398296 | − | 0.218965i | 0.270000 | − | 0.962860i | \(-0.412976\pi\) |
−0.668296 | + | 0.743895i | \(0.732976\pi\) | |||||||
\(720\) | −1.56016 | − | 1.65312i | −0.0581436 | − | 0.0616080i | ||||
\(721\) | −50.9472 | − | 6.43613i | −1.89737 | − | 0.239694i | ||||
\(722\) | 2.32611 | − | 18.4131i | 0.0865688 | − | 0.685263i | ||||
\(723\) | 25.3149 | − | 16.0653i | 0.941470 | − | 0.597475i | ||||
\(724\) | 2.44145 | − | 1.77382i | 0.0907357 | − | 0.0659233i | ||||
\(725\) | 0.582778 | + | 2.97434i | 0.0216438 | + | 0.110464i | ||||
\(726\) | −13.3960 | − | 9.73274i | −0.497171 | − | 0.361216i | ||||
\(727\) | 1.52158 | + | 0.0957296i | 0.0564322 | + | 0.00355042i | 0.0909815 | − | 0.995853i | \(-0.471000\pi\) |
−0.0345493 | + | 0.999403i | \(0.511000\pi\) | |||||||
\(728\) | 17.8436 | + | 32.4573i | 0.661327 | + | 1.20295i | ||||
\(729\) | 9.42048 | − | 20.0195i | 0.348907 | − | 0.741465i | ||||
\(730\) | −4.77633 | − | 8.63702i | −0.176780 | − | 0.319670i | ||||
\(731\) | −5.02207 | + | 26.3266i | −0.185748 | + | 0.973725i | ||||
\(732\) | 7.30212 | + | 10.0505i | 0.269894 | + | 0.371477i | ||||
\(733\) | 16.2151 | − | 29.4952i | 0.598919 | − | 1.08943i | −0.386980 | − | 0.922088i | \(-0.626482\pi\) |
0.985899 | − | 0.167342i | \(-0.0535183\pi\) | |||||||
\(734\) | −4.12637 | + | 6.50212i | −0.152307 | + | 0.239998i | ||||
\(735\) | −43.4028 | − | 5.37309i | −1.60093 | − | 0.198189i | ||||
\(736\) | 21.0360 | + | 8.32876i | 0.775399 | + | 0.307002i | ||||
\(737\) | −20.4823 | − | 51.7323i | −0.754474 | − | 1.90558i | ||||
\(738\) | −0.513628 | + | 0.424910i | −0.0189069 | + | 0.0156412i | ||||
\(739\) | −16.4745 | + | 4.22994i | −0.606026 | + | 0.155601i | −0.539220 | − | 0.842165i | \(-0.681281\pi\) |
−0.0668058 | + | 0.997766i | \(0.521281\pi\) | |||||||
\(740\) | −0.0264433 | + | 0.0321273i | −0.000972077 | + | 0.00118102i | ||||
\(741\) | −29.1617 | + | 11.5459i | −1.07128 | + | 0.424150i | ||||
\(742\) | −14.2505 | − | 15.1752i | −0.523151 | − | 0.557100i | ||||
\(743\) | −19.3130 | + | 26.5821i | −0.708526 | + | 0.975202i | 0.291302 | + | 0.956631i | \(0.405912\pi\) |
−0.999828 | + | 0.0185708i | \(0.994088\pi\) | |||||||
\(744\) | −6.97817 | − | 14.8294i | −0.255832 | − | 0.543671i | ||||
\(745\) | −4.90087 | + | 1.60592i | −0.179554 | + | 0.0588362i | ||||
\(746\) | 2.85099 | − | 1.56735i | 0.104382 | − | 0.0573846i | ||||
\(747\) | 1.29406 | − | 0.246854i | 0.0473470 | − | 0.00903192i | ||||
\(748\) | −2.66756 | − | 10.3894i | −0.0975355 | − | 0.379876i | ||||
\(749\) | 53.6251 | 1.95942 | ||||||||
\(750\) | −3.22780 | − | 24.0991i | −0.117863 | − | 0.879973i | ||||
\(751\) | 23.9734 | 0.874801 | 0.437401 | − | 0.899267i | \(-0.355899\pi\) | ||||
0.437401 | + | 0.899267i | \(0.355899\pi\) | |||||||
\(752\) | −4.04782 | − | 15.7652i | −0.147609 | − | 0.574899i | ||||
\(753\) | 11.4328 | − | 2.18093i | 0.416636 | − | 0.0794775i | ||||
\(754\) | −1.79160 | + | 0.984940i | −0.0652462 | + | 0.0358694i | ||||
\(755\) | −0.0431802 | − | 17.3115i | −0.00157149 | − | 0.630030i | ||||
\(756\) | 5.27156 | + | 11.2026i | 0.191725 | + | 0.407436i | ||||
\(757\) | 7.79679 | − | 10.7314i | 0.283379 | − | 0.390038i | −0.643470 | − | 0.765471i | \(-0.722506\pi\) |
0.926850 | + | 0.375433i | \(0.122506\pi\) | |||||||
\(758\) | −27.5419 | − | 29.3292i | −1.00037 | − | 1.06528i | ||||
\(759\) | −49.9095 | + | 19.7606i | −1.81160 | + | 0.717263i | ||||
\(760\) | 2.44822 | − | 40.5261i | 0.0888062 | − | 1.47004i | ||||
\(761\) | 49.0814 | − | 12.6020i | 1.77920 | − | 0.456820i | 0.791235 | − | 0.611512i | \(-0.209438\pi\) |
0.987963 | + | 0.154691i | \(0.0494383\pi\) | |||||||
\(762\) | −27.0986 | + | 22.4179i | −0.981677 | + | 0.812114i | ||||
\(763\) | 0.436097 | + | 1.10146i | 0.0157878 | + | 0.0398754i | ||||
\(764\) | 1.41773 | + | 0.561318i | 0.0512916 | + | 0.0203078i | ||||
\(765\) | 2.80327 | + | 2.61932i | 0.101353 | + | 0.0947018i | ||||
\(766\) | 9.64768 | − | 15.2023i | 0.348585 | − | 0.549282i | ||||
\(767\) | −8.22761 | + | 14.9660i | −0.297082 | + | 0.540390i | ||||
\(768\) | −14.4839 | − | 19.9354i | −0.522644 | − | 0.719357i | ||||
\(769\) | 4.27577 | − | 22.4144i | 0.154188 | − | 0.808284i | −0.818203 | − | 0.574929i | \(-0.805030\pi\) |
0.972392 | − | 0.233355i | \(-0.0749703\pi\) | |||||||
\(770\) | 32.4214 | − | 34.6983i | 1.16839 | − | 1.25044i | ||||
\(771\) | 11.3069 | − | 24.0284i | 0.407209 | − | 0.865363i | ||||
\(772\) | −0.0994240 | − | 0.180852i | −0.00357835 | − | 0.00650899i | ||||
\(773\) | −28.5591 | − | 1.79678i | −1.02720 | − | 0.0646258i | −0.459761 | − | 0.888043i | \(-0.652065\pi\) |
−0.567437 | + | 0.823417i | \(0.692065\pi\) | |||||||
\(774\) | −2.72097 | − | 1.97690i | −0.0978031 | − | 0.0710581i | ||||
\(775\) | 2.62401 | − | 14.1384i | 0.0942572 | − | 0.507865i | ||||
\(776\) | 2.31523 | − | 1.68211i | 0.0831118 | − | 0.0603843i | ||||
\(777\) | 0.196511 | − | 0.124710i | 0.00704980 | − | 0.00447394i | ||||
\(778\) | −1.35820 | + | 10.7512i | −0.0486937 | + | 0.385451i | ||||
\(779\) | −7.75811 | − | 0.980078i | −0.277963 | − | 0.0351149i | ||||
\(780\) | −6.66578 | + | 3.15701i | −0.238673 | + | 0.113039i | ||||
\(781\) | 46.1015 | + | 25.3445i | 1.64964 | + | 0.906898i | ||||
\(782\) | 30.0815 | + | 9.77409i | 1.07571 | + | 0.349521i | ||||
\(783\) | −2.61181 | + | 1.22903i | −0.0933386 | + | 0.0439218i | ||||
\(784\) | 24.2927 | + | 6.23732i | 0.867598 | + | 0.222761i | ||||
\(785\) | 13.3293 | − | 9.73516i | 0.475742 | − | 0.347463i | ||||
\(786\) | −21.8599 | + | 26.4240i | −0.779715 | + | 0.942514i | ||||
\(787\) | −12.0838 | − | 7.66864i | −0.430742 | − | 0.273357i | 0.302730 | − | 0.953076i | \(-0.402102\pi\) |
−0.733473 | + | 0.679719i | \(0.762102\pi\) | |||||||
\(788\) | −9.45269 | + | 0.594713i | −0.336738 | + | 0.0211858i | ||||
\(789\) | −15.4692 | − | 24.3755i | −0.550717 | − | 0.867791i | ||||
\(790\) | 2.23606 | − | 11.8828i | 0.0795556 | − | 0.422771i | ||||
\(791\) | 3.67004 | + | 58.3336i | 0.130492 | + | 2.07410i | ||||
\(792\) | 5.58466 | + | 1.06533i | 0.198442 | + | 0.0378549i | ||||
\(793\) | −29.5352 | + | 9.59658i | −1.04883 | + | 0.340785i | ||||
\(794\) | −26.9511 | + | 25.3088i | −0.956459 | + | 0.898175i | ||||
\(795\) | 13.4630 | − | 11.1942i | 0.477483 | − | 0.397019i | ||||
\(796\) | −0.559672 | − | 2.93390i | −0.0198371 | − | 0.103989i | ||||
\(797\) | 22.3011 | − | 23.7482i | 0.789944 | − | 0.841205i | −0.200417 | − | 0.979711i | \(-0.564230\pi\) |
0.990362 | + | 0.138505i | \(0.0442298\pi\) | |||||||
\(798\) | −19.7926 | + | 49.9903i | −0.700649 | + | 1.76964i | ||||
\(799\) | 8.48933 | + | 26.1275i | 0.300331 | + | 0.924323i | ||||
\(800\) | −0.0839802 | − | 16.8343i | −0.00296915 | − | 0.595182i | ||||
\(801\) | 0.318863 | − | 0.981359i | 0.0112665 | − | 0.0346746i | ||||
\(802\) | 33.8816 | + | 28.0293i | 1.19640 | + | 0.989748i | ||||
\(803\) | 14.6700 | + | 6.90316i | 0.517692 | + | 0.243607i | ||||
\(804\) | 10.7988 | + | 10.1408i | 0.380845 | + | 0.357638i | ||||
\(805\) | −15.8125 | − | 60.9541i | −0.557318 | − | 2.14835i | ||||
\(806\) | 9.62341 | − | 1.21572i | 0.338970 | − | 0.0428219i | ||||
\(807\) | 18.5046i | 0.651391i | ||||||||
\(808\) | −2.30018 | − | 18.2078i | −0.0809202 | − | 0.640549i | ||||
\(809\) | −3.19679 | − | 3.86425i | −0.112393 | − | 0.135860i | 0.711316 | − | 0.702872i | \(-0.248099\pi\) |
−0.823710 | + | 0.567012i | \(0.808099\pi\) | |||||||
\(810\) | 24.6422 | − | 9.82771i | 0.865839 | − | 0.345310i | ||||
\(811\) | 0.878695 | − | 13.9665i | 0.0308552 | − | 0.490429i | −0.952006 | − | 0.306080i | \(-0.900982\pi\) |
0.982861 | − | 0.184349i | \(-0.0590175\pi\) | |||||||
\(812\) | 0.391956 | − | 1.52657i | 0.0137550 | − | 0.0535721i | ||||
\(813\) | −8.75075 | + | 34.0819i | −0.306902 | + | 1.19530i | ||||
\(814\) | −0.00954402 | + | 0.151698i | −0.000334518 | + | 0.00531701i | ||||
\(815\) | 14.8153 | − | 23.4745i | 0.518959 | − | 0.822274i | ||||
\(816\) | −11.2294 | − | 13.5740i | −0.393106 | − | 0.475184i | ||||
\(817\) | −4.94490 | − | 39.1429i | −0.173000 | − | 1.36944i | ||||
\(818\) | − | 28.8940i | − | 1.01025i | ||||||
\(819\) | 5.11175 | − | 0.645764i | 0.178619 | − | 0.0225648i | ||||
\(820\) | −1.83555 | − | 0.110887i | −0.0641001 | − | 0.00387234i | ||||
\(821\) | 4.38256 | + | 4.11550i | 0.152952 | + | 0.143632i | 0.757246 | − | 0.653130i | \(-0.226545\pi\) |
−0.604293 | + | 0.796762i | \(0.706545\pi\) | |||||||
\(822\) | 1.93307 | + | 0.909632i | 0.0674235 | + | 0.0317271i | ||||
\(823\) | 38.3408 | + | 31.7183i | 1.33648 | + | 1.10563i | 0.985579 | + | 0.169215i | \(0.0541231\pi\) |
0.350896 | + | 0.936414i | \(0.385877\pi\) | |||||||
\(824\) | −11.6541 | + | 35.8678i | −0.405991 | + | 1.24951i | ||||
\(825\) | 27.4864 | + | 28.9790i | 0.956954 | + | 1.00892i | ||||
\(826\) | 9.04699 | + | 27.8438i | 0.314785 | + | 0.968809i | ||||
\(827\) | 2.08223 | − | 5.25912i | 0.0724063 | − | 0.182878i | −0.889066 | − | 0.457779i | \(-0.848645\pi\) |
0.961472 | + | 0.274901i | \(0.0886452\pi\) | |||||||
\(828\) | 1.22188 | − | 1.30117i | 0.0424632 | − | 0.0452187i | ||||
\(829\) | −4.49764 | − | 23.5774i | −0.156209 | − | 0.818879i | −0.970992 | − | 0.239112i | \(-0.923144\pi\) |
0.814783 | − | 0.579767i | \(-0.196856\pi\) | |||||||
\(830\) | −6.83403 | − | 4.31314i | −0.237213 | − | 0.149711i | ||||
\(831\) | 17.7752 | − | 16.6920i | 0.616615 | − | 0.579040i | ||||
\(832\) | 23.7681 | − | 7.72271i | 0.824010 | − | 0.267737i | ||||
\(833\) | −41.5820 | − | 7.93220i | −1.44073 | − | 0.274834i | ||||
\(834\) | −1.33912 | − | 21.2848i | −0.0463701 | − | 0.737031i | ||||
\(835\) | −26.1311 | + | 24.6617i | −0.904305 | + | 0.853454i | ||||
\(836\) | 8.46086 | + | 13.3322i | 0.292625 | + | 0.461103i | ||||
\(837\) | 13.6679 | − | 0.859910i | 0.472431 | − | 0.0297228i | ||||
\(838\) | 33.2012 | + | 21.0701i | 1.14692 | + | 0.727855i | ||||
\(839\) | 17.4019 | − | 21.0353i | 0.600782 | − | 0.726220i | −0.379198 | − | 0.925315i | \(-0.623800\pi\) |
0.979980 | + | 0.199095i | \(0.0638002\pi\) | |||||||
\(840\) | −16.3756 | + | 50.8301i | −0.565013 | + | 1.75380i | ||||
\(841\) | −27.7330 | − | 7.12062i | −0.956310 | − | 0.245539i | ||||
\(842\) | −40.7791 | + | 19.1892i | −1.40534 | + | 0.661303i | ||||
\(843\) | −1.38281 | − | 0.449302i | −0.0476264 | − | 0.0154748i | ||||
\(844\) | −11.1440 | − | 6.12649i | −0.383594 | − | 0.210882i | ||||
\(845\) | 1.35878 | + | 10.5443i | 0.0467434 | + | 0.362734i | ||||
\(846\) | −3.42028 | − | 0.432082i | −0.117592 | − | 0.0148553i | ||||
\(847\) | −3.99928 | + | 31.6575i | −0.137417 | + | 1.08777i | ||||
\(848\) | −8.47795 | + | 5.38027i | −0.291134 | + | 0.184759i | ||||
\(849\) | 15.4005 | − | 11.1891i | 0.528544 | − | 0.384010i | ||||
\(850\) | −1.59491 | − | 23.4806i | −0.0547049 | − | 0.805377i | ||||
\(851\) | 0.163063 | + | 0.118472i | 0.00558972 | + | 0.00406117i | ||||
\(852\) | −13.9793 | − | 0.879503i | −0.478923 | − | 0.0301313i | ||||
\(853\) | −8.50453 | − | 15.4697i | −0.291189 | − | 0.529672i | 0.689735 | − | 0.724062i | \(-0.257727\pi\) |
−0.980924 | + | 0.194390i | \(0.937727\pi\) | |||||||
\(854\) | −22.6669 | + | 48.1696i | −0.775645 | + | 1.64833i | ||||
\(855\) | −5.11623 | − | 2.39195i | −0.174971 | − | 0.0818029i | ||||
\(856\) | 7.37962 | − | 38.6853i | 0.252230 | − | 1.32224i | ||||
\(857\) | 8.16423 | + | 11.2371i | 0.278885 | + | 0.383852i | 0.925364 | − | 0.379080i | \(-0.123759\pi\) |
−0.646479 | + | 0.762932i | \(0.723759\pi\) | |||||||
\(858\) | −12.9795 | + | 23.6096i | −0.443113 | + | 0.806019i | ||||
\(859\) | −23.9127 | + | 37.6805i | −0.815892 | + | 1.28564i | 0.139477 | + | 0.990225i | \(0.455458\pi\) |
−0.955369 | + | 0.295415i | \(0.904542\pi\) | |||||||
\(860\) | −1.76125 | − | 9.10928i | −0.0600580 | − | 0.310624i | ||||
\(861\) | 9.56337 | + | 3.78640i | 0.325919 | + | 0.129040i | ||||
\(862\) | −5.06531 | − | 12.7935i | −0.172525 | − | 0.435749i | ||||
\(863\) | 16.4419 | − | 13.6019i | 0.559690 | − | 0.463016i | −0.314052 | − | 0.949406i | \(-0.601687\pi\) |
0.873742 | + | 0.486390i | \(0.161687\pi\) | |||||||
\(864\) | 15.5290 | − | 3.98716i | 0.528306 | − | 0.135646i | ||||
\(865\) | 3.77620 | + | 5.91766i | 0.128395 | + | 0.201206i | ||||
\(866\) | 13.8670 | − | 5.49033i | 0.471219 | − | 0.186569i | ||||
\(867\) | −1.19240 | − | 1.26978i | −0.0404962 | − | 0.0431241i | ||||
\(868\) | −4.39522 | + | 6.04950i | −0.149183 | + | 0.205333i | ||||
\(869\) | 8.45704 | + | 17.9721i | 0.286885 | + | 0.609662i | ||||
\(870\) | −2.80575 | − | 0.903912i | −0.0951238 | − | 0.0306455i | ||||
\(871\) | −32.4510 | + | 17.8401i | −1.09956 | + | 0.604488i | ||||
\(872\) | 0.854607 | − | 0.163025i | 0.0289406 | − | 0.00552072i | ||||
\(873\) | −0.0990022 | − | 0.385588i | −0.00335072 | − | 0.0130502i | ||||
\(874\) | −46.5616 | −1.57497 | ||||||||
\(875\) | −37.6997 | + | 27.8238i | −1.27448 | + | 0.940616i | ||||
\(876\) | −4.31666 | −0.145846 | ||||||||
\(877\) | 5.96671 | + | 23.2388i | 0.201482 | + | 0.784719i | 0.986296 | + | 0.164988i | \(0.0527584\pi\) |
−0.784814 | + | 0.619731i | \(0.787242\pi\) | |||||||
\(878\) | 5.42347 | − | 1.03458i | 0.183033 | − | 0.0349155i | ||||
\(879\) | −13.2821 | + | 7.30188i | −0.447993 | + | 0.246286i | ||||
\(880\) | −13.5097 | − | 18.4973i | −0.455411 | − | 0.623542i | ||||
\(881\) | −11.3400 | − | 24.0988i | −0.382056 | − | 0.811910i | −0.999677 | − | 0.0254337i | \(-0.991903\pi\) |
0.617621 | − | 0.786476i | \(-0.288097\pi\) | |||||||
\(882\) | 3.12245 | − | 4.29768i | 0.105138 | − | 0.144710i | ||||
\(883\) | −20.2226 | − | 21.5349i | −0.680545 | − | 0.724707i | 0.292258 | − | 0.956339i | \(-0.405593\pi\) |
−0.972803 | + | 0.231633i | \(0.925593\pi\) | |||||||
\(884\) | −6.63777 | + | 2.62808i | −0.223252 | + | 0.0883919i | ||||
\(885\) | −23.8349 | + | 6.18317i | −0.801201 | + | 0.207845i | ||||
\(886\) | −0.740402 | + | 0.190103i | −0.0248743 | + | 0.00638663i | ||||
\(887\) | −9.92013 | + | 8.20664i | −0.333085 | + | 0.275552i | −0.788899 | − | 0.614523i | \(-0.789348\pi\) |
0.455813 | + | 0.890075i | \(0.349348\pi\) | |||||||
\(888\) | −0.0629232 | − | 0.158926i | −0.00211156 | − | 0.00533320i | ||||
\(889\) | 63.0149 | + | 24.9494i | 2.11345 | + | 0.836775i | ||||
\(890\) | −5.53919 | + | 3.06321i | −0.185674 | + | 0.102679i | ||||
\(891\) | −23.3515 | + | 36.7960i | −0.782303 | + | 1.23271i | ||||
\(892\) | −3.62357 | + | 6.59125i | −0.121326 | + | 0.220691i | ||||
\(893\) | −23.7708 | − | 32.7177i | −0.795460 | − | 1.09486i | ||||
\(894\) | 0.939870 | − | 4.92697i | 0.0314340 | − | 0.164783i | ||||
\(895\) | −3.49923 | + | 0.676565i | −0.116966 | + | 0.0226151i | ||||
\(896\) | 6.22516 | − | 13.2291i | 0.207968 | − | 0.441954i | ||||
\(897\) | 17.2115 | + | 31.3076i | 0.574674 | + | 1.04533i | ||||
\(898\) | 6.53669 | + | 0.411254i | 0.218132 | + | 0.0137237i | ||||
\(899\) | −1.41040 | − | 1.02471i | −0.0470394 | − | 0.0341761i | ||||
\(900\) | −1.23728 | − | 0.482749i | −0.0412428 | − | 0.0160916i | ||||
\(901\) | 13.7109 | − | 9.96153i | 0.456775 | − | 0.331867i | ||||
\(902\) | −5.67158 | + | 3.59930i | −0.188843 | + | 0.119843i | ||||
\(903\) | −6.50422 | + | 51.4862i | −0.216447 | + | 1.71335i | ||||
\(904\) | 42.5871 | + | 5.38000i | 1.41643 | + | 0.178936i | ||||
\(905\) | −5.21614 | + | 9.54445i | −0.173390 | + | 0.317268i | ||||
\(906\) | 14.7541 | + | 8.11114i | 0.490173 | + | 0.269475i | ||||
\(907\) | 37.7097 | + | 12.2526i | 1.25213 | + | 0.406841i | 0.858683 | − | 0.512506i | \(-0.171283\pi\) |
0.393446 | + | 0.919348i | \(0.371283\pi\) | |||||||
\(908\) | 12.4161 | − | 5.84256i | 0.412042 | − | 0.193892i | ||||
\(909\) | −2.47277 | − | 0.634900i | −0.0820167 | − | 0.0210583i | ||||
\(910\) | −25.6163 | − | 18.5139i | −0.849172 | − | 0.613729i | ||||
\(911\) | 5.08613 | − | 6.14808i | 0.168511 | − | 0.203695i | −0.679497 | − | 0.733678i | \(-0.737802\pi\) |
0.848008 | + | 0.529984i | \(0.177802\pi\) | |||||||
\(912\) | 21.8964 | + | 13.8959i | 0.725061 | + | 0.460138i | ||||
\(913\) | 13.2489 | − | 0.833552i | 0.438476 | − | 0.0275865i | ||||
\(914\) | 24.7075 | + | 38.9328i | 0.817252 | + | 1.28778i | ||||
\(915\) | −39.2908 | − | 21.4729i | −1.29892 | − | 0.709871i | ||||
\(916\) | −0.983220 | − | 15.6278i | −0.0324865 | − | 0.516358i | ||||
\(917\) | 64.9167 | + | 12.3835i | 2.14374 | + | 0.408940i | ||||
\(918\) | 21.3167 | − | 6.92622i | 0.703556 | − | 0.228599i | ||||
\(919\) | −15.5418 | + | 14.5947i | −0.512676 | + | 0.481435i | −0.897165 | − | 0.441695i | \(-0.854377\pi\) |
0.384489 | + | 0.923129i | \(0.374377\pi\) | |||||||
\(920\) | −46.1485 | + | 3.01900i | −1.52147 | + | 0.0995334i | ||||
\(921\) | −3.31388 | − | 17.3720i | −0.109196 | − | 0.572426i | ||||
\(922\) | 13.9576 | − | 14.8633i | 0.459668 | − | 0.489496i | ||||
\(923\) | 12.8897 | − | 32.5556i | 0.424269 | − | 1.07158i | ||||
\(924\) | −6.41816 | − | 19.7531i | −0.211142 | − | 0.649828i | ||||
\(925\) | 0.0365715 | − | 0.145445i | 0.00120247 | − | 0.00478221i | ||||
\(926\) | 10.6367 | − | 32.7363i | 0.349542 | − | 1.07578i | ||||
\(927\) | 4.04230 | + | 3.34408i | 0.132767 | + | 0.109834i | ||||
\(928\) | −1.84670 | − | 0.868991i | −0.0606209 | − | 0.0285260i | ||||
\(929\) | −21.4040 | − | 20.0997i | −0.702242 | − | 0.659449i | 0.248784 | − | 0.968559i | \(-0.419969\pi\) |
−0.951026 | + | 0.309110i | \(0.899969\pi\) | |||||||
\(930\) | 10.7981 | + | 8.88771i | 0.354084 | + | 0.291439i | ||||
\(931\) | 61.8249 | − | 7.81030i | 2.02623 | − | 0.255972i | ||||
\(932\) | 0.203216i | 0.00665656i | ||||||||
\(933\) | −7.11681 | − | 56.3354i | −0.232994 | − | 1.84434i | ||||
\(934\) | −23.1275 | − | 27.9563i | −0.756754 | − | 0.914758i | ||||
\(935\) | 24.7173 | + | 29.7268i | 0.808342 | + | 0.972170i | ||||
\(936\) | 0.237597 | − | 3.77650i | 0.00776610 | − | 0.123439i | ||||
\(937\) | −7.16178 | + | 27.8933i | −0.233965 | + | 0.911234i | 0.737749 | + | 0.675075i | \(0.235889\pi\) |
−0.971714 | + | 0.236159i | \(0.924111\pi\) | |||||||
\(938\) | −15.7871 | + | 61.4868i | −0.515468 | + | 2.00761i | ||||
\(939\) | −0.394224 | + | 6.26600i | −0.0128650 | + | 0.204483i | ||||
\(940\) | −6.08026 | − | 7.31256i | −0.198316 | − | 0.238509i | ||||
\(941\) | −11.5042 | − | 13.9062i | −0.375026 | − | 0.453328i | 0.548907 | − | 0.835883i | \(-0.315044\pi\) |
−0.923933 | + | 0.382555i | \(0.875044\pi\) | |||||||
\(942\) | 2.01198 | + | 15.9265i | 0.0655540 | + | 0.518913i | ||||
\(943\) | 8.90745i | 0.290066i | ||||||||
\(944\) | 14.0100 | − | 1.76987i | 0.455986 | − | 0.0576044i | ||||
\(945\) | −34.4540 | − | 28.3584i | −1.12079 | − | 0.922497i | ||||
\(946\) | −24.7058 | − | 23.2003i | −0.803255 | − | 0.754306i | ||||
\(947\) | 11.0677 | + | 5.20808i | 0.359653 | + | 0.169240i | 0.597112 | − | 0.802158i | \(-0.296315\pi\) |
−0.237459 | + | 0.971397i | \(0.576315\pi\) | |||||||
\(948\) | −4.07472 | − | 3.37090i | −0.132341 | − | 0.109482i | ||||
\(949\) | 3.33452 | − | 10.2626i | 0.108243 | − | 0.333138i | ||||
\(950\) | 12.9143 | + | 32.1482i | 0.418994 | + | 1.04303i | ||||
\(951\) | −17.0821 | − | 52.5734i | −0.553926 | − | 1.70481i | ||||
\(952\) | −19.0286 | + | 48.0607i | −0.616719 | + | 1.55765i | ||||
\(953\) | −5.73043 | + | 6.10228i | −0.185627 | + | 0.197672i | −0.815051 | − | 0.579390i | \(-0.803291\pi\) |
0.629424 | + | 0.777062i | \(0.283291\pi\) | |||||||
\(954\) | 0.398513 | + | 2.08908i | 0.0129023 | + | 0.0676364i | ||||
\(955\) | −5.48401 | + | 0.358760i | −0.177458 | + | 0.0116092i | ||||
\(956\) | −6.62252 | + | 6.21896i | −0.214187 | + | 0.201135i | ||||
\(957\) | 4.60529 | − | 1.49635i | 0.148868 | − | 0.0483701i | ||||
\(958\) | −34.5600 | − | 6.59267i | −1.11658 | − | 0.213000i | ||||
\(959\) | −0.258508 | − | 4.10887i | −0.00834766 | − | 0.132682i | ||||
\(960\) | 31.6187 | + | 17.2800i | 1.02049 | + | 0.557709i | ||||
\(961\) | −12.1787 | − | 19.1906i | −0.392862 | − | 0.619051i | ||||
\(962\) | 0.100964 | − | 0.00635213i | 0.00325522 | − | 0.000204801i | ||||
\(963\) | −4.62561 | − | 2.93550i | −0.149058 | − | 0.0945953i | ||||
\(964\) | −6.40379 | + | 7.74085i | −0.206252 | + | 0.249316i | ||||
\(965\) | 0.602865 | + | 0.435714i | 0.0194069 | + | 0.0140261i | ||||
\(966\) | 59.3203 | + | 15.2309i | 1.90860 | + | 0.490045i | ||||
\(967\) | −45.0734 | + | 21.2099i | −1.44946 | + | 0.682066i | −0.979652 | − | 0.200701i | \(-0.935678\pi\) |
−0.469811 | + | 0.882767i | \(0.655678\pi\) | |||||||
\(968\) | 22.2875 | + | 7.24164i | 0.716347 | + | 0.232755i | ||||
\(969\) | −38.3570 | − | 21.0869i | −1.23220 | − | 0.677410i | ||||
\(970\) | −1.17112 | + | 2.14290i | −0.0376024 | + | 0.0688045i | ||||
\(971\) | 21.5104 | + | 2.71739i | 0.690300 | + | 0.0872052i | 0.462654 | − | 0.886539i | \(-0.346897\pi\) |
0.227646 | + | 0.973744i | \(0.426897\pi\) | |||||||
\(972\) | 0.343451 | − | 2.71869i | 0.0110162 | − | 0.0872021i | ||||
\(973\) | −34.7006 | + | 22.0216i | −1.11245 | + | 0.705982i | ||||
\(974\) | 15.9087 | − | 11.5584i | 0.509748 | − | 0.370354i | ||||
\(975\) | 16.8424 | − | 20.5670i | 0.539388 | − | 0.658671i | ||||
\(976\) | 20.7739 | + | 15.0931i | 0.664957 | + | 0.483120i | ||||
\(977\) | −55.3264 | − | 3.48084i | −1.77005 | − | 0.111362i | −0.856003 | − | 0.516971i | \(-0.827059\pi\) |
−0.914047 | + | 0.405609i | \(0.867059\pi\) | |||||||
\(978\) | 13.0060 | + | 23.6579i | 0.415887 | + | 0.756496i | ||||
\(979\) | 4.42721 | − | 9.40831i | 0.141494 | − | 0.300691i | ||||
\(980\) | 14.3878 | − | 2.78183i | 0.459602 | − | 0.0888624i | ||||
\(981\) | 0.0226780 | − | 0.118882i | 0.000724053 | − | 0.00379562i | ||||
\(982\) | −29.2154 | − | 40.2115i | −0.932300 | − | 1.28320i | ||||
\(983\) | 1.04143 | − | 1.89435i | 0.0332164 | − | 0.0604204i | −0.859178 | − | 0.511678i | \(-0.829024\pi\) |
0.892394 | + | 0.451257i | \(0.149024\pi\) | |||||||
\(984\) | 4.04759 | − | 6.37798i | 0.129032 | − | 0.203322i | ||||
\(985\) | 29.8733 | − | 16.5202i | 0.951842 | − | 0.526376i | ||||
\(986\) | −2.65288 | − | 1.05035i | −0.0844850 | − | 0.0334500i | ||||
\(987\) | 19.5821 | + | 49.4586i | 0.623304 | + | 1.57429i | ||||
\(988\) | 8.09764 | − | 6.69895i | 0.257620 | − | 0.213122i | ||||
\(989\) | −43.5298 | + | 11.1766i | −1.38417 | + | 0.355394i | ||||
\(990\) | −4.69605 | + | 1.21823i | −0.149250 | + | 0.0387180i | ||||
\(991\) | 47.9707 | − | 18.9929i | 1.52384 | − | 0.603330i | 0.550936 | − | 0.834547i | \(-0.314271\pi\) |
0.972902 | + | 0.231217i | \(0.0742708\pi\) | |||||||
\(992\) | 6.62852 | + | 7.05866i | 0.210456 | + | 0.224113i | ||||
\(993\) | −10.1322 | + | 13.9458i | −0.321536 | + | 0.442557i | ||||
\(994\) | −25.5567 | − | 54.3108i | −0.810610 | − | 1.72263i | ||||
\(995\) | 6.34928 | + | 8.69335i | 0.201286 | + | 0.275598i | ||||
\(996\) | −3.09727 | + | 1.70274i | −0.0981408 | + | 0.0539534i | ||||
\(997\) | −16.3502 | + | 3.11896i | −0.517816 | + | 0.0987786i | −0.439663 | − | 0.898163i | \(-0.644902\pi\) |
−0.0781525 | + | 0.996941i | \(0.524902\pi\) | |||||||
\(998\) | −2.05816 | − | 8.01599i | −0.0651498 | − | 0.253742i | ||||
\(999\) | 0.142829 | 0.00451892 |
(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 | 125.2.h.a.104.9 | ✓ | 240 | |
5.2 | odd | 4 | 625.2.g.b.351.8 | 480 | |||
5.3 | odd | 4 | 625.2.g.b.351.17 | 480 | |||
5.4 | even | 2 | 625.2.h.a.274.4 | 240 | |||
125.6 | even | 25 | 625.2.h.a.349.4 | 240 | |||
125.33 | odd | 100 | 625.2.g.b.276.17 | 480 | |||
125.92 | odd | 100 | 625.2.g.b.276.8 | 480 | |||
125.119 | even | 50 | inner | 125.2.h.a.119.9 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
125.2.h.a.104.9 | ✓ | 240 | 1.1 | even | 1 | trivial | |
125.2.h.a.119.9 | yes | 240 | 125.119 | even | 50 | inner | |
625.2.g.b.276.8 | 480 | 125.92 | odd | 100 | |||
625.2.g.b.276.17 | 480 | 125.33 | odd | 100 | |||
625.2.g.b.351.8 | 480 | 5.2 | odd | 4 | |||
625.2.g.b.351.17 | 480 | 5.3 | odd | 4 | |||
625.2.h.a.274.4 | 240 | 5.4 | even | 2 | |||
625.2.h.a.349.4 | 240 | 125.6 | even | 25 |