Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [912,2,Mod(61,912)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(912, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([0, 27, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("912.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 912 = 2^{4} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 912.cq (of order \(36\), degree \(12\), 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: | \(7.28235666434\) |
Analytic rank: | \(0\) |
Dimension: | \(960\) |
Relative dimension: | \(80\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 709.49 | ||
Character | \(\chi\) | \(=\) | 912.709 |
Dual form | 912.2.cq.a.301.49 |
$q$-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 \(\left(\mathbb{Z}/912\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(799\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.504420 | − | 1.32120i | 0.356679 | − | 0.934227i | ||||
\(3\) | 0.906308 | − | 0.422618i | 0.523257 | − | 0.243999i | ||||
\(4\) | −1.49112 | − | 1.33288i | −0.745560 | − | 0.666439i | ||||
\(5\) | −1.38500 | + | 1.97799i | −0.619392 | + | 0.884584i | −0.999180 | − | 0.0404901i | \(-0.987108\pi\) |
0.379788 | + | 0.925074i | \(0.375997\pi\) | |||||||
\(6\) | −0.101202 | − | 1.41059i | −0.0413153 | − | 0.575870i | ||||
\(7\) | 2.46284 | + | 1.42192i | 0.930867 | + | 0.537437i | 0.887086 | − | 0.461605i | \(-0.152726\pi\) |
0.0437816 | + | 0.999041i | \(0.486059\pi\) | |||||||
\(8\) | −2.51314 | + | 1.29773i | −0.888531 | + | 0.458817i | ||||
\(9\) | 0.642788 | − | 0.766044i | 0.214263 | − | 0.255348i | ||||
\(10\) | 1.91469 | + | 2.82760i | 0.605478 | + | 0.894165i | ||||
\(11\) | −1.43877 | + | 5.36956i | −0.433805 | + | 1.61898i | 0.310104 | + | 0.950703i | \(0.399636\pi\) |
−0.743909 | + | 0.668280i | \(0.767031\pi\) | |||||||
\(12\) | −1.91471 | − | 0.577822i | −0.552730 | − | 0.166803i | ||||
\(13\) | 0.0505500 | − | 0.108405i | 0.0140201 | − | 0.0300661i | −0.899173 | − | 0.437593i | \(-0.855831\pi\) |
0.913193 | + | 0.407527i | \(0.133609\pi\) | |||||||
\(14\) | 3.12095 | − | 2.53665i | 0.834109 | − | 0.677949i | ||||
\(15\) | −0.419305 | + | 2.37799i | −0.108264 | + | 0.613995i | ||||
\(16\) | 0.446877 | + | 3.97496i | 0.111719 | + | 0.993740i | ||||
\(17\) | −3.07985 | + | 2.58430i | −0.746974 | + | 0.626786i | −0.934701 | − | 0.355436i | \(-0.884333\pi\) |
0.187727 | + | 0.982221i | \(0.439888\pi\) | |||||||
\(18\) | −0.687860 | − | 1.23566i | −0.162130 | − | 0.291247i | ||||
\(19\) | −1.54375 | + | 4.07638i | −0.354160 | + | 0.935185i | ||||
\(20\) | 4.70162 | − | 1.10338i | 1.05131 | − | 0.246723i | ||||
\(21\) | 2.83303 | + | 0.247858i | 0.618217 | + | 0.0540870i | ||||
\(22\) | 6.36850 | + | 4.60941i | 1.35777 | + | 0.982730i | ||||
\(23\) | −4.53272 | − | 0.799241i | −0.945138 | − | 0.166653i | −0.320219 | − | 0.947343i | \(-0.603757\pi\) |
−0.624918 | + | 0.780690i | \(0.714868\pi\) | |||||||
\(24\) | −1.72924 | + | 2.23824i | −0.352979 | + | 0.456880i | ||||
\(25\) | −0.284107 | − | 0.780577i | −0.0568213 | − | 0.156115i | ||||
\(26\) | −0.117726 | − | 0.121468i | −0.0230879 | − | 0.0238219i | ||||
\(27\) | 0.258819 | − | 0.965926i | 0.0498097 | − | 0.185893i | ||||
\(28\) | −1.77715 | − | 5.40293i | −0.335849 | − | 1.02106i | ||||
\(29\) | 0.781847 | − | 0.0684028i | 0.145185 | − | 0.0127021i | −0.0143313 | − | 0.999897i | \(-0.504562\pi\) |
0.159517 | + | 0.987195i | \(0.449006\pi\) | |||||||
\(30\) | 2.93029 | + | 1.75349i | 0.534996 | + | 0.320142i | ||||
\(31\) | −0.212869 | + | 0.368700i | −0.0382324 | + | 0.0662205i | −0.884508 | − | 0.466524i | \(-0.845506\pi\) |
0.846276 | + | 0.532745i | \(0.178839\pi\) | |||||||
\(32\) | 5.47712 | + | 1.41464i | 0.968226 | + | 0.250075i | ||||
\(33\) | 0.965306 | + | 5.47452i | 0.168038 | + | 0.952992i | ||||
\(34\) | 1.86083 | + | 5.37267i | 0.319130 | + | 0.921405i | ||||
\(35\) | −6.22359 | + | 2.90211i | −1.05198 | + | 0.490546i | ||||
\(36\) | −1.97952 | + | 0.285507i | −0.329919 | + | 0.0475845i | ||||
\(37\) | 4.65984 | + | 4.65984i | 0.766073 | + | 0.766073i | 0.977413 | − | 0.211339i | \(-0.0677825\pi\) |
−0.211339 | + | 0.977413i | \(0.567783\pi\) | |||||||
\(38\) | 4.60700 | + | 4.09580i | 0.747354 | + | 0.664426i | ||||
\(39\) | − | 0.119612i | − | 0.0191532i | ||||||
\(40\) | 0.913812 | − | 6.76833i | 0.144486 | − | 1.07017i | ||||
\(41\) | 3.33429 | − | 9.16090i | 0.520729 | − | 1.43069i | −0.348982 | − | 0.937130i | \(-0.613472\pi\) |
0.869711 | − | 0.493562i | \(-0.164305\pi\) | |||||||
\(42\) | 1.75650 | − | 3.61796i | 0.271035 | − | 0.558263i | ||||
\(43\) | 6.18629 | − | 8.83494i | 0.943400 | − | 1.34732i | 0.00565758 | − | 0.999984i | \(-0.498199\pi\) |
0.937743 | − | 0.347331i | \(-0.112912\pi\) | |||||||
\(44\) | 9.30234 | − | 6.08895i | 1.40238 | − | 0.917944i | ||||
\(45\) | 0.624965 | + | 2.33240i | 0.0931642 | + | 0.347694i | ||||
\(46\) | −3.34235 | + | 5.58546i | −0.492803 | + | 0.823532i | ||||
\(47\) | −0.984944 | − | 0.826466i | −0.143669 | − | 0.120552i | 0.568121 | − | 0.822945i | \(-0.307671\pi\) |
−0.711790 | + | 0.702393i | \(0.752115\pi\) | |||||||
\(48\) | 2.08490 | + | 3.41368i | 0.300929 | + | 0.492722i | ||||
\(49\) | 0.543733 | + | 0.941773i | 0.0776761 | + | 0.134539i | ||||
\(50\) | −1.17460 | − | 0.0183782i | −0.166114 | − | 0.00259906i | ||||
\(51\) | −1.69912 | + | 3.64378i | −0.237925 | + | 0.510231i | ||||
\(52\) | −0.219867 | + | 0.0942677i | −0.0304900 | + | 0.0130726i | ||||
\(53\) | −8.92980 | + | 6.25271i | −1.22660 | + | 0.858876i | −0.993528 | − | 0.113583i | \(-0.963767\pi\) |
−0.233073 | + | 0.972459i | \(0.574878\pi\) | |||||||
\(54\) | −1.14562 | − | 0.829184i | −0.155900 | − | 0.112838i | ||||
\(55\) | −8.62823 | − | 10.2827i | −1.16343 | − | 1.38652i | ||||
\(56\) | −8.03476 | − | 0.377388i | −1.07369 | − | 0.0504306i | ||||
\(57\) | 0.323643 | + | 4.34687i | 0.0428675 | + | 0.575757i | ||||
\(58\) | 0.304006 | − | 1.06748i | 0.0399180 | − | 0.140167i | ||||
\(59\) | 14.5859 | + | 1.27610i | 1.89892 | + | 0.166134i | 0.975843 | − | 0.218471i | \(-0.0701068\pi\) |
0.923081 | + | 0.384605i | \(0.125662\pi\) | |||||||
\(60\) | 3.79481 | − | 2.98699i | 0.489908 | − | 0.385619i | ||||
\(61\) | 3.14445 | + | 4.49075i | 0.402606 | + | 0.574981i | 0.968349 | − | 0.249601i | \(-0.0802994\pi\) |
−0.565743 | + | 0.824582i | \(0.691410\pi\) | |||||||
\(62\) | 0.379750 | + | 0.467222i | 0.0482283 | + | 0.0593372i | ||||
\(63\) | 2.67234 | − | 0.972653i | 0.336683 | − | 0.122543i | ||||
\(64\) | 4.63178 | − | 6.52277i | 0.578973 | − | 0.815347i | ||||
\(65\) | 0.144412 | + | 0.250128i | 0.0179121 | + | 0.0310246i | ||||
\(66\) | 7.71984 | + | 1.48610i | 0.950247 | + | 0.182927i | ||||
\(67\) | 2.52312 | − | 0.220745i | 0.308249 | − | 0.0269683i | 0.0680180 | − | 0.997684i | \(-0.478332\pi\) |
0.240231 | + | 0.970716i | \(0.422777\pi\) | |||||||
\(68\) | 8.03699 | + | 0.251559i | 0.974628 | + | 0.0305060i | ||||
\(69\) | −4.44582 | + | 1.19125i | −0.535213 | + | 0.143410i | ||||
\(70\) | 0.694948 | + | 9.68647i | 0.0830622 | + | 1.15776i | ||||
\(71\) | 2.40804 | − | 0.424603i | 0.285782 | − | 0.0503911i | −0.0289195 | − | 0.999582i | \(-0.509207\pi\) |
0.314702 | + | 0.949191i | \(0.398096\pi\) | |||||||
\(72\) | −0.621298 | + | 2.75935i | −0.0732206 | + | 0.325192i | ||||
\(73\) | 4.13490 | − | 11.3605i | 0.483954 | − | 1.32965i | −0.422123 | − | 0.906538i | \(-0.638715\pi\) |
0.906077 | − | 0.423113i | \(-0.139063\pi\) | |||||||
\(74\) | 8.50709 | − | 3.80605i | 0.988929 | − | 0.442444i | ||||
\(75\) | −0.587374 | − | 0.587374i | −0.0678241 | − | 0.0678241i | ||||
\(76\) | 7.73522 | − | 4.02074i | 0.887291 | − | 0.461211i | ||||
\(77\) | −11.1786 | + | 11.1786i | −1.27392 | + | 1.27392i | ||||
\(78\) | −0.158030 | − | 0.0603345i | −0.0178934 | − | 0.00683154i | ||||
\(79\) | −10.8797 | − | 3.95989i | −1.22406 | − | 0.445523i | −0.352503 | − | 0.935811i | \(-0.614669\pi\) |
−0.871560 | + | 0.490288i | \(0.836892\pi\) | |||||||
\(80\) | −8.48135 | − | 4.62141i | −0.948244 | − | 0.516689i | ||||
\(81\) | −0.173648 | − | 0.984808i | −0.0192942 | − | 0.109423i | ||||
\(82\) | −10.4215 | − | 9.02620i | −1.15086 | − | 0.996777i | ||||
\(83\) | 0.247875 | + | 0.925082i | 0.0272078 | + | 0.101541i | 0.978195 | − | 0.207691i | \(-0.0665948\pi\) |
−0.950987 | + | 0.309232i | \(0.899928\pi\) | |||||||
\(84\) | −3.89402 | − | 4.14566i | −0.424872 | − | 0.452329i | ||||
\(85\) | −0.846119 | − | 9.67118i | −0.0917745 | − | 1.04899i | ||||
\(86\) | −8.55219 | − | 12.6298i | −0.922207 | − | 1.36191i | ||||
\(87\) | 0.679686 | − | 0.392417i | 0.0728700 | − | 0.0420715i | ||||
\(88\) | −3.35241 | − | 15.3616i | −0.357368 | − | 1.63755i | ||||
\(89\) | 4.98243 | + | 13.6891i | 0.528136 | + | 1.45104i | 0.861262 | + | 0.508161i | \(0.169674\pi\) |
−0.333126 | + | 0.942882i | \(0.608103\pi\) | |||||||
\(90\) | 3.39680 | + | 0.350809i | 0.358055 | + | 0.0369785i | ||||
\(91\) | 0.278640 | − | 0.195106i | 0.0292094 | − | 0.0204527i | ||||
\(92\) | 5.69354 | + | 7.23333i | 0.593593 | + | 0.754126i | ||||
\(93\) | −0.0371055 | + | 0.424118i | −0.00384766 | + | 0.0439790i | ||||
\(94\) | −1.58875 | + | 0.884418i | −0.163867 | + | 0.0912207i | ||||
\(95\) | −5.92494 | − | 8.69931i | −0.607886 | − | 0.892530i | ||||
\(96\) | 5.56180 | − | 1.03263i | 0.567649 | − | 0.105393i | ||||
\(97\) | −4.16989 | + | 3.49895i | −0.423388 | + | 0.355265i | −0.829450 | − | 0.558581i | \(-0.811346\pi\) |
0.406062 | + | 0.913845i | \(0.366902\pi\) | |||||||
\(98\) | 1.51854 | − | 0.243328i | 0.153395 | − | 0.0245799i | ||||
\(99\) | 3.18850 | + | 4.55365i | 0.320456 | + | 0.457659i | ||||
\(100\) | −0.616776 | + | 1.54261i | −0.0616776 | + | 0.154261i | ||||
\(101\) | −3.44804 | − | 1.60785i | −0.343092 | − | 0.159987i | 0.243432 | − | 0.969918i | \(-0.421727\pi\) |
−0.586525 | + | 0.809931i | \(0.699504\pi\) | |||||||
\(102\) | 3.95707 | + | 4.08287i | 0.391809 | + | 0.404264i | ||||
\(103\) | −11.5480 | + | 6.66725i | −1.13786 | + | 0.656943i | −0.945900 | − | 0.324459i | \(-0.894818\pi\) |
−0.191960 | + | 0.981403i | \(0.561484\pi\) | |||||||
\(104\) | 0.0136410 | + | 0.338037i | 0.00133761 | + | 0.0331473i | ||||
\(105\) | −4.41401 | + | 5.26041i | −0.430763 | + | 0.513363i | ||||
\(106\) | 3.75669 | + | 14.9520i | 0.364882 | + | 1.45227i | ||||
\(107\) | 4.38858 | − | 1.17592i | 0.424260 | − | 0.113680i | −0.0403704 | − | 0.999185i | \(-0.512854\pi\) |
0.464631 | + | 0.885505i | \(0.346187\pi\) | |||||||
\(108\) | −1.67339 | + | 1.09534i | −0.161022 | + | 0.105399i | ||||
\(109\) | −1.69053 | − | 1.18372i | −0.161923 | − | 0.113380i | 0.489806 | − | 0.871831i | \(-0.337067\pi\) |
−0.651730 | + | 0.758451i | \(0.725956\pi\) | |||||||
\(110\) | −17.9378 | + | 6.21277i | −1.71030 | + | 0.592364i | ||||
\(111\) | 6.19259 | + | 2.25392i | 0.587774 | + | 0.213932i | ||||
\(112\) | −4.55150 | + | 10.4251i | −0.430076 | + | 0.985082i | ||||
\(113\) | −8.78131 | −0.826077 | −0.413038 | − | 0.910714i | \(-0.635532\pi\) | ||||
−0.413038 | + | 0.910714i | \(0.635532\pi\) | |||||||
\(114\) | 5.90632 | + | 1.76505i | 0.553177 | + | 0.165312i | ||||
\(115\) | 7.85872 | − | 7.85872i | 0.732830 | − | 0.732830i | ||||
\(116\) | −1.25700 | − | 0.940110i | −0.116710 | − | 0.0872870i | ||||
\(117\) | −0.0505500 | − | 0.108405i | −0.00467335 | − | 0.0100220i | ||||
\(118\) | 9.04342 | − | 18.6272i | 0.832514 | − | 1.71477i | ||||
\(119\) | −11.2599 | + | 1.98542i | −1.03219 | + | 0.182003i | ||||
\(120\) | −2.03223 | − | 6.52039i | −0.185516 | − | 0.595227i | ||||
\(121\) | −17.2358 | − | 9.95111i | −1.56689 | − | 0.904646i | ||||
\(122\) | 7.51928 | − | 1.88922i | 0.680764 | − | 0.171042i | ||||
\(123\) | −0.849666 | − | 9.71172i | −0.0766118 | − | 0.875677i | ||||
\(124\) | 0.808845 | − | 0.266048i | 0.0726364 | − | 0.0238918i | ||||
\(125\) | −9.72454 | − | 2.60568i | −0.869789 | − | 0.233059i | ||||
\(126\) | 0.0629185 | − | 4.02131i | 0.00560523 | − | 0.358247i | ||||
\(127\) | 13.2833 | − | 4.83473i | 1.17870 | − | 0.429013i | 0.322959 | − | 0.946413i | \(-0.395322\pi\) |
0.855744 | + | 0.517400i | \(0.173100\pi\) | |||||||
\(128\) | −6.28150 | − | 9.40972i | −0.555211 | − | 0.831709i | ||||
\(129\) | 1.87288 | − | 10.6216i | 0.164898 | − | 0.935181i | ||||
\(130\) | 0.403313 | − | 0.0646263i | 0.0353729 | − | 0.00566811i | ||||
\(131\) | −0.216683 | + | 2.47669i | −0.0189316 | + | 0.216390i | 0.980836 | + | 0.194835i | \(0.0624171\pi\) |
−0.999768 | + | 0.0215547i | \(0.993138\pi\) | |||||||
\(132\) | 5.85748 | − | 9.44980i | 0.509828 | − | 0.822500i | ||||
\(133\) | −9.59830 | + | 7.84439i | −0.832278 | + | 0.680195i | ||||
\(134\) | 0.981068 | − | 3.44489i | 0.0847514 | − | 0.297593i | ||||
\(135\) | 1.55213 | + | 1.84975i | 0.133586 | + | 0.159201i | ||||
\(136\) | 4.38638 | − | 10.4916i | 0.376129 | − | 0.899643i | ||||
\(137\) | 5.50174 | + | 0.970106i | 0.470046 | + | 0.0828818i | 0.403654 | − | 0.914912i | \(-0.367740\pi\) |
0.0663921 | + | 0.997794i | \(0.478851\pi\) | |||||||
\(138\) | −0.668682 | + | 6.47469i | −0.0569220 | + | 0.551162i | ||||
\(139\) | 10.4873 | + | 4.89032i | 0.889523 | + | 0.414791i | 0.812991 | − | 0.582276i | \(-0.197838\pi\) |
0.0765317 | + | 0.997067i | \(0.475615\pi\) | |||||||
\(140\) | 13.1483 | + | 3.96789i | 1.11123 | + | 0.335348i | ||||
\(141\) | −1.24194 | − | 0.332777i | −0.104590 | − | 0.0280249i | ||||
\(142\) | 0.653682 | − | 3.39568i | 0.0548558 | − | 0.284959i | ||||
\(143\) | 0.509357 | + | 0.427401i | 0.0425945 | + | 0.0357411i | ||||
\(144\) | 3.33224 | + | 2.21273i | 0.277687 | + | 0.184394i | ||||
\(145\) | −0.947561 | + | 1.64122i | −0.0786906 | + | 0.136296i | ||||
\(146\) | −12.9238 | − | 11.1935i | −1.06958 | − | 0.926381i | ||||
\(147\) | 0.890800 | + | 0.623745i | 0.0734719 | + | 0.0514456i | ||||
\(148\) | −0.737387 | − | 13.1594i | −0.0606128 | − | 1.08169i | ||||
\(149\) | 0.816251 | + | 1.75046i | 0.0668699 | + | 0.143403i | 0.936902 | − | 0.349592i | \(-0.113680\pi\) |
−0.870032 | + | 0.492995i | \(0.835902\pi\) | |||||||
\(150\) | −1.07232 | + | 0.479753i | −0.0875546 | + | 0.0391717i | ||||
\(151\) | 15.2417i | 1.24035i | 0.784463 | + | 0.620176i | \(0.212939\pi\) | ||||
−0.784463 | + | 0.620176i | \(0.787061\pi\) | |||||||
\(152\) | −1.41039 | − | 12.2479i | −0.114398 | − | 0.993435i | ||||
\(153\) | 4.02046i | 0.325035i | ||||||||
\(154\) | 9.13038 | + | 20.4078i | 0.735747 | + | 1.64451i | ||||
\(155\) | −0.434460 | − | 0.931703i | −0.0348967 | − | 0.0748362i | ||||
\(156\) | −0.159428 | + | 0.178355i | −0.0127644 | + | 0.0142798i | ||||
\(157\) | 0.664175 | + | 0.465060i | 0.0530069 | + | 0.0371158i | 0.599780 | − | 0.800165i | \(-0.295255\pi\) |
−0.546773 | + | 0.837281i | \(0.684144\pi\) | |||||||
\(158\) | −10.7197 | + | 12.3768i | −0.852817 | + | 0.984644i | ||||
\(159\) | −5.45063 | + | 9.44077i | −0.432263 | + | 0.748702i | ||||
\(160\) | −10.3840 | + | 8.87440i | −0.820924 | + | 0.701583i | ||||
\(161\) | −10.0269 | − | 8.41359i | −0.790233 | − | 0.663084i | ||||
\(162\) | −1.38872 | − | 0.267334i | −0.109108 | − | 0.0210037i | ||||
\(163\) | 21.8319 | + | 5.84983i | 1.71000 | + | 0.458194i | 0.975425 | − | 0.220330i | \(-0.0707134\pi\) |
0.734578 | + | 0.678524i | \(0.237380\pi\) | |||||||
\(164\) | −17.1822 | + | 9.21579i | −1.34170 | + | 0.719632i | ||||
\(165\) | −12.1655 | − | 5.67286i | −0.947083 | − | 0.441632i | ||||
\(166\) | 1.34725 | + | 0.139139i | 0.104567 | + | 0.0107993i | ||||
\(167\) | 10.8854 | + | 1.91939i | 0.842336 | + | 0.148527i | 0.578135 | − | 0.815941i | \(-0.303781\pi\) |
0.264201 | + | 0.964468i | \(0.414892\pi\) | |||||||
\(168\) | −7.44145 | + | 3.05361i | −0.574121 | + | 0.235591i | ||||
\(169\) | 8.34704 | + | 9.94762i | 0.642080 | + | 0.765201i | ||||
\(170\) | −13.2043 | − | 3.76045i | −1.01273 | − | 0.288414i | ||||
\(171\) | 2.13039 | + | 3.80282i | 0.162915 | + | 0.290809i | ||||
\(172\) | −21.0004 | + | 4.92839i | −1.60126 | + | 0.375786i | ||||
\(173\) | −1.35778 | + | 15.5195i | −0.103230 | + | 1.17992i | 0.751098 | + | 0.660191i | \(0.229524\pi\) |
−0.854328 | + | 0.519734i | \(0.826031\pi\) | |||||||
\(174\) | −0.175612 | − | 1.09594i | −0.0133131 | − | 0.0830831i | ||||
\(175\) | 0.410210 | − | 2.32642i | 0.0310090 | − | 0.175861i | ||||
\(176\) | −21.9867 | − | 3.31951i | −1.65731 | − | 0.250218i | ||||
\(177\) | 13.7586 | − | 5.00773i | 1.03416 | − | 0.376404i | ||||
\(178\) | 20.5992 | + | 0.322301i | 1.54398 | + | 0.0241575i | ||||
\(179\) | 3.21549 | + | 0.861588i | 0.240337 | + | 0.0643981i | 0.376977 | − | 0.926223i | \(-0.376964\pi\) |
−0.136640 | + | 0.990621i | \(0.543630\pi\) | |||||||
\(180\) | 2.17691 | − | 4.31089i | 0.162257 | − | 0.321315i | ||||
\(181\) | −1.67939 | − | 19.1955i | −0.124828 | − | 1.42679i | −0.757735 | − | 0.652562i | \(-0.773694\pi\) |
0.632907 | − | 0.774228i | \(-0.281862\pi\) | |||||||
\(182\) | −0.117222 | − | 0.466554i | −0.00868904 | − | 0.0345833i | ||||
\(183\) | 4.74771 | + | 2.74109i | 0.350961 | + | 0.202627i | ||||
\(184\) | 12.4286 | − | 3.87365i | 0.916247 | − | 0.285569i | ||||
\(185\) | −15.6710 | + | 2.76322i | −1.15216 | + | 0.203156i | ||||
\(186\) | 0.541627 | + | 0.262958i | 0.0397140 | + | 0.0192810i | ||||
\(187\) | −9.44537 | − | 20.2557i | −0.690714 | − | 1.48124i | ||||
\(188\) | 0.367092 | + | 2.54517i | 0.0267729 | + | 0.185625i | ||||
\(189\) | 2.01090 | − | 2.01090i | 0.146272 | − | 0.146272i | ||||
\(190\) | −14.4821 | + | 3.43990i | −1.05065 | + | 0.249556i | ||||
\(191\) | 11.0289 | 0.798026 | 0.399013 | − | 0.916945i | \(-0.369353\pi\) | ||||
0.399013 | + | 0.916945i | \(0.369353\pi\) | |||||||
\(192\) | 1.44118 | − | 7.86912i | 0.104008 | − | 0.567905i | ||||
\(193\) | 10.6588 | + | 3.87949i | 0.767237 | + | 0.279252i | 0.695840 | − | 0.718196i | \(-0.255032\pi\) |
0.0713970 | + | 0.997448i | \(0.477254\pi\) | |||||||
\(194\) | 2.51943 | + | 7.27419i | 0.180884 | + | 0.522256i | ||||
\(195\) | 0.236590 | + | 0.165662i | 0.0169426 | + | 0.0118633i | ||||
\(196\) | 0.444497 | − | 2.12903i | 0.0317498 | − | 0.152073i | ||||
\(197\) | −23.1323 | + | 6.19829i | −1.64811 | + | 0.441610i | −0.959083 | − | 0.283126i | \(-0.908629\pi\) |
−0.689027 | + | 0.724735i | \(0.741962\pi\) | |||||||
\(198\) | 7.62461 | − | 1.91568i | 0.541857 | − | 0.136141i | ||||
\(199\) | 4.68548 | − | 5.58393i | 0.332145 | − | 0.395834i | −0.573963 | − | 0.818881i | \(-0.694595\pi\) |
0.906108 | + | 0.423046i | \(0.139039\pi\) | |||||||
\(200\) | 1.72698 | + | 1.59301i | 0.122116 | + | 0.112643i | ||||
\(201\) | 2.19344 | − | 1.26638i | 0.154713 | − | 0.0893236i | ||||
\(202\) | −3.86354 | + | 3.74450i | −0.271838 | + | 0.263462i | ||||
\(203\) | 2.02283 | + | 0.943262i | 0.141975 | + | 0.0662040i | ||||
\(204\) | 7.39030 | − | 3.16859i | 0.517424 | − | 0.221846i | ||||
\(205\) | 13.5021 | + | 19.2831i | 0.943031 | + | 1.34679i | ||||
\(206\) | 2.98369 | + | 18.6203i | 0.207884 | + | 1.29734i | ||||
\(207\) | −3.52583 | + | 2.95852i | −0.245062 | + | 0.205632i | ||||
\(208\) | 0.453495 | + | 0.152491i | 0.0314442 | + | 0.0105733i | ||||
\(209\) | −19.6673 | − | 14.1542i | −1.36041 | − | 0.979066i | ||||
\(210\) | 4.72352 | + | 8.48523i | 0.325954 | + | 0.585536i | ||||
\(211\) | 1.39105 | − | 15.8998i | 0.0957641 | − | 1.09459i | −0.784508 | − | 0.620119i | \(-0.787084\pi\) |
0.880272 | − | 0.474470i | \(-0.157360\pi\) | |||||||
\(212\) | 21.6495 | + | 2.57878i | 1.48689 | + | 0.177111i | ||||
\(213\) | 2.00298 | − | 1.40250i | 0.137242 | − | 0.0960980i | ||||
\(214\) | 0.660073 | − | 6.39133i | 0.0451217 | − | 0.436903i | ||||
\(215\) | 8.90738 | + | 24.4728i | 0.607478 | + | 1.66903i | ||||
\(216\) | 0.603063 | + | 2.76339i | 0.0410332 | + | 0.188025i | ||||
\(217\) | −1.04853 | + | 0.605367i | −0.0711786 | + | 0.0410950i | ||||
\(218\) | −2.41666 | + | 1.63643i | −0.163677 | + | 0.110833i | ||||
\(219\) | −1.05368 | − | 12.0436i | −0.0712012 | − | 0.813834i | ||||
\(220\) | −0.839882 | + | 26.8331i | −0.0566248 | + | 1.80909i | ||||
\(221\) | 0.124464 | + | 0.464508i | 0.00837239 | + | 0.0312462i | ||||
\(222\) | 6.10153 | − | 7.04470i | 0.409508 | − | 0.472809i | ||||
\(223\) | 3.14377 | + | 17.8292i | 0.210522 | + | 1.19393i | 0.888510 | + | 0.458857i | \(0.151741\pi\) |
−0.677988 | + | 0.735073i | \(0.737148\pi\) | |||||||
\(224\) | 11.4778 | + | 11.2721i | 0.766891 | + | 0.753147i | ||||
\(225\) | −0.780577 | − | 0.284107i | −0.0520384 | − | 0.0189404i | ||||
\(226\) | −4.42948 | + | 11.6018i | −0.294644 | + | 0.771743i | ||||
\(227\) | −2.67753 | + | 2.67753i | −0.177714 | + | 0.177714i | −0.790358 | − | 0.612645i | \(-0.790106\pi\) |
0.612645 | + | 0.790358i | \(0.290106\pi\) | |||||||
\(228\) | 5.31125 | − | 6.91308i | 0.351746 | − | 0.457830i | ||||
\(229\) | −0.930267 | − | 0.930267i | −0.0614738 | − | 0.0614738i | 0.675702 | − | 0.737175i | \(-0.263841\pi\) |
−0.737175 | + | 0.675702i | \(0.763841\pi\) | |||||||
\(230\) | −6.41882 | − | 14.3470i | −0.423244 | − | 0.946014i | ||||
\(231\) | −5.40695 | + | 14.8555i | −0.355752 | + | 0.977419i | ||||
\(232\) | −1.87613 | + | 1.18653i | −0.123174 | + | 0.0778998i | ||||
\(233\) | 2.58098 | − | 0.455096i | 0.169085 | − | 0.0298143i | −0.0884644 | − | 0.996079i | \(-0.528196\pi\) |
0.257550 | + | 0.966265i | \(0.417085\pi\) | |||||||
\(234\) | −0.168723 | + | 0.0121049i | −0.0110297 | + | 0.000791320i | ||||
\(235\) | 2.99889 | − | 0.803550i | 0.195626 | − | 0.0524178i | ||||
\(236\) | −20.0485 | − | 21.3441i | −1.30504 | − | 1.38938i | ||||
\(237\) | −11.5339 | + | 1.00908i | −0.749207 | + | 0.0655471i | ||||
\(238\) | −3.05658 | + | 15.8780i | −0.198129 | + | 1.02922i | ||||
\(239\) | −5.91220 | − | 10.2402i | −0.382429 | − | 0.662386i | 0.608980 | − | 0.793186i | \(-0.291579\pi\) |
−0.991409 | + | 0.130799i | \(0.958246\pi\) | |||||||
\(240\) | −9.63981 | − | 0.604047i | −0.622247 | − | 0.0389911i | ||||
\(241\) | 0.0405347 | − | 0.0147534i | 0.00261107 | − | 0.000950351i | −0.340714 | − | 0.940167i | \(-0.610669\pi\) |
0.343325 | + | 0.939217i | \(0.388447\pi\) | |||||||
\(242\) | −21.8415 | + | 17.7524i | −1.40402 | + | 1.14117i | ||||
\(243\) | −0.573576 | − | 0.819152i | −0.0367949 | − | 0.0525486i | ||||
\(244\) | 1.29685 | − | 10.8874i | 0.0830226 | − | 0.696995i | ||||
\(245\) | −2.61589 | − | 0.228861i | −0.167123 | − | 0.0146214i | ||||
\(246\) | −13.2597 | − | 3.77622i | −0.845407 | − | 0.240763i | ||||
\(247\) | 0.363863 | + | 0.373411i | 0.0231520 | + | 0.0237595i | ||||
\(248\) | 0.0564969 | − | 1.20284i | 0.00358755 | − | 0.0763806i | ||||
\(249\) | 0.615607 | + | 0.733652i | 0.0390125 | + | 0.0464933i | ||||
\(250\) | −8.34788 | + | 11.5337i | −0.527966 | + | 0.729453i | ||||
\(251\) | 19.5255 | − | 13.6719i | 1.23244 | − | 0.862965i | 0.238315 | − | 0.971188i | \(-0.423405\pi\) |
0.994127 | + | 0.108223i | \(0.0345160\pi\) | |||||||
\(252\) | −5.28121 | − | 2.11156i | −0.332685 | − | 0.133016i | ||||
\(253\) | 10.8131 | − | 23.1888i | 0.679815 | − | 1.45787i | ||||
\(254\) | 0.312747 | − | 19.9886i | 0.0196235 | − | 1.25420i | ||||
\(255\) | −4.85406 | − | 8.40748i | −0.303973 | − | 0.526497i | ||||
\(256\) | −15.6006 | + | 3.55264i | −0.975038 | + | 0.222040i | ||||
\(257\) | −5.50487 | − | 4.61913i | −0.343384 | − | 0.288134i | 0.454743 | − | 0.890623i | \(-0.349731\pi\) |
−0.798127 | + | 0.602489i | \(0.794176\pi\) | |||||||
\(258\) | −13.0885 | − | 7.83219i | −0.814855 | − | 0.487611i | ||||
\(259\) | 4.85052 | + | 18.1024i | 0.301397 | + | 1.12483i | ||||
\(260\) | 0.118055 | − | 0.565455i | 0.00732148 | − | 0.0350680i | ||||
\(261\) | 0.450162 | − | 0.642898i | 0.0278643 | − | 0.0397944i | ||||
\(262\) | 3.16290 | + | 1.53558i | 0.195405 | + | 0.0948681i | ||||
\(263\) | 9.64099 | − | 26.4884i | 0.594489 | − | 1.63335i | −0.167587 | − | 0.985857i | \(-0.553597\pi\) |
0.762076 | − | 0.647488i | \(-0.224180\pi\) | |||||||
\(264\) | −9.53042 | − | 12.5056i | −0.586557 | − | 0.769664i | ||||
\(265\) | − | 26.3231i | − | 1.61701i | ||||||
\(266\) | 5.52240 | + | 16.6381i | 0.338600 | + | 1.02015i | ||||
\(267\) | 10.3009 | + | 10.3009i | 0.630404 | + | 0.630404i | ||||
\(268\) | −4.05651 | − | 3.03386i | −0.247790 | − | 0.185322i | ||||
\(269\) | 18.2862 | − | 8.52701i | 1.11493 | − | 0.519901i | 0.224251 | − | 0.974531i | \(-0.428006\pi\) |
0.890680 | + | 0.454631i | \(0.150229\pi\) | |||||||
\(270\) | 3.22681 | − | 1.11761i | 0.196377 | − | 0.0680156i | ||||
\(271\) | −4.07452 | − | 23.1078i | −0.247510 | − | 1.40370i | −0.814591 | − | 0.580036i | \(-0.803039\pi\) |
0.567081 | − | 0.823662i | \(-0.308072\pi\) | |||||||
\(272\) | −11.6488 | − | 11.0874i | −0.706313 | − | 0.672274i | ||||
\(273\) | 0.170078 | − | 0.294585i | 0.0102936 | − | 0.0178291i | ||||
\(274\) | 4.05689 | − | 6.77954i | 0.245086 | − | 0.409567i | ||||
\(275\) | 4.60012 | − | 0.402458i | 0.277397 | − | 0.0242691i | ||||
\(276\) | 8.21704 | + | 4.14942i | 0.494608 | + | 0.249766i | ||||
\(277\) | −7.11564 | + | 26.5559i | −0.427537 | + | 1.59559i | 0.330782 | + | 0.943707i | \(0.392688\pi\) |
−0.758319 | + | 0.651883i | \(0.773979\pi\) | |||||||
\(278\) | 11.7511 | − | 11.3890i | 0.704784 | − | 0.683069i | ||||
\(279\) | 0.145611 | + | 0.400063i | 0.00871750 | + | 0.0239511i | ||||
\(280\) | 11.8746 | − | 15.3700i | 0.709645 | − | 0.918532i | ||||
\(281\) | −7.45389 | − | 1.31432i | −0.444662 | − | 0.0784059i | −0.0531659 | − | 0.998586i | \(-0.516931\pi\) |
−0.391496 | + | 0.920180i | \(0.628042\pi\) | |||||||
\(282\) | −1.06612 | + | 1.47299i | −0.0634868 | + | 0.0877152i | ||||
\(283\) | −24.1489 | − | 2.11275i | −1.43550 | − | 0.125590i | −0.657312 | − | 0.753619i | \(-0.728307\pi\) |
−0.778190 | + | 0.628029i | \(0.783862\pi\) | |||||||
\(284\) | −4.15662 | − | 2.57649i | −0.246650 | − | 0.152887i | ||||
\(285\) | −9.04630 | − | 5.38026i | −0.535857 | − | 0.318699i | ||||
\(286\) | 0.821611 | − | 0.457370i | 0.0485828 | − | 0.0270449i | ||||
\(287\) | 21.2379 | − | 17.8207i | 1.25364 | − | 1.05193i | ||||
\(288\) | 4.60430 | − | 3.28640i | 0.271311 | − | 0.193653i | ||||
\(289\) | −0.145149 | + | 0.823179i | −0.00853816 | + | 0.0484223i | ||||
\(290\) | 1.69041 | + | 2.07978i | 0.0992643 | + | 0.122129i | ||||
\(291\) | −2.30048 | + | 4.93340i | −0.134857 | + | 0.289201i | ||||
\(292\) | −21.3078 | + | 11.4286i | −1.24695 | + | 0.668810i | ||||
\(293\) | −8.71226 | + | 32.5146i | −0.508975 | + | 1.89952i | −0.0785144 | + | 0.996913i | \(0.525018\pi\) |
−0.430461 | + | 0.902609i | \(0.641649\pi\) | |||||||
\(294\) | 1.27343 | − | 0.862292i | 0.0742678 | − | 0.0502899i | ||||
\(295\) | −22.7257 | + | 27.0834i | −1.32314 | + | 1.57686i | ||||
\(296\) | −17.7581 | − | 5.66363i | −1.03217 | − | 0.329192i | ||||
\(297\) | 4.81421 | + | 2.77949i | 0.279349 | + | 0.161282i | ||||
\(298\) | 2.72443 | − | 0.195462i | 0.157822 | − | 0.0113228i | ||||
\(299\) | −0.315771 | + | 0.450968i | −0.0182615 | + | 0.0260801i | ||||
\(300\) | 0.0929477 | + | 1.65874i | 0.00536634 | + | 0.0957675i | ||||
\(301\) | 27.7985 | − | 12.9626i | 1.60228 | − | 0.747154i | ||||
\(302\) | 20.1373 | + | 7.68822i | 1.15877 | + | 0.442407i | ||||
\(303\) | −3.80449 | −0.218562 | ||||||||
\(304\) | −16.8933 | − | 4.31469i | −0.968897 | − | 0.247464i | ||||
\(305\) | −13.2377 | −0.757990 | ||||||||
\(306\) | 5.31182 | + | 2.02800i | 0.303657 | + | 0.115933i | ||||
\(307\) | −1.66024 | + | 0.774184i | −0.0947550 | + | 0.0441850i | −0.469418 | − | 0.882976i | \(-0.655536\pi\) |
0.374663 | + | 0.927161i | \(0.377758\pi\) | |||||||
\(308\) | 31.5682 | − | 1.76893i | 1.79877 | − | 0.100794i | ||||
\(309\) | −7.64835 | + | 10.9230i | −0.435100 | + | 0.621387i | ||||
\(310\) | −1.45011 | + | 0.104037i | −0.0823609 | + | 0.00590892i | ||||
\(311\) | −23.7241 | − | 13.6971i | −1.34527 | − | 0.776691i | −0.357694 | − | 0.933839i | \(-0.616437\pi\) |
−0.987575 | + | 0.157148i | \(0.949770\pi\) | |||||||
\(312\) | 0.155224 | + | 0.300601i | 0.00878781 | + | 0.0170182i | ||||
\(313\) | −5.50793 | + | 6.56409i | −0.311326 | + | 0.371024i | −0.898906 | − | 0.438142i | \(-0.855637\pi\) |
0.587579 | + | 0.809167i | \(0.300081\pi\) | |||||||
\(314\) | 0.949459 | − | 0.642919i | 0.0535811 | − | 0.0362820i | ||||
\(315\) | −1.77730 | + | 6.63299i | −0.100140 | + | 0.373727i | ||||
\(316\) | 10.9449 | + | 20.4060i | 0.615699 | + | 1.14793i | ||||
\(317\) | 4.03378 | − | 8.65046i | 0.226560 | − | 0.485858i | −0.759864 | − | 0.650083i | \(-0.774734\pi\) |
0.986423 | + | 0.164224i | \(0.0525120\pi\) | |||||||
\(318\) | 9.72371 | + | 11.9635i | 0.545278 | + | 0.670879i | ||||
\(319\) | −0.757605 | + | 4.29659i | −0.0424177 | + | 0.240563i | ||||
\(320\) | 6.48694 | + | 18.1957i | 0.362631 | + | 1.01717i | ||||
\(321\) | 3.48044 | − | 2.92044i | 0.194259 | − | 0.163003i | ||||
\(322\) | −16.1738 | + | 9.00355i | −0.901330 | + | 0.501748i | ||||
\(323\) | −5.78009 | − | 16.5442i | −0.321613 | − | 0.920541i | ||||
\(324\) | −1.05370 | + | 1.69992i | −0.0585387 | + | 0.0944399i | ||||
\(325\) | −0.0989799 | − | 0.00865962i | −0.00549042 | − | 0.000480349i | ||||
\(326\) | 18.7412 | − | 25.8934i | 1.03798 | − | 1.43410i | ||||
\(327\) | −2.03240 | − | 0.358367i | −0.112392 | − | 0.0198177i | ||||
\(328\) | 3.50883 | + | 27.3497i | 0.193743 | + | 1.51013i | ||||
\(329\) | −1.25059 | − | 3.43597i | −0.0689473 | − | 0.189431i | ||||
\(330\) | −13.6315 | + | 13.2115i | −0.750389 | + | 0.727269i | ||||
\(331\) | 4.40521 | − | 16.4405i | 0.242132 | − | 0.903649i | −0.732671 | − | 0.680583i | \(-0.761727\pi\) |
0.974803 | − | 0.223066i | \(-0.0716067\pi\) | |||||||
\(332\) | 0.863409 | − | 1.70979i | 0.0473857 | − | 0.0938372i | ||||
\(333\) | 6.56494 | − | 0.574357i | 0.359756 | − | 0.0314746i | ||||
\(334\) | 8.02669 | − | 13.4135i | 0.439201 | − | 0.733956i | ||||
\(335\) | −3.05790 | + | 5.29644i | −0.167071 | + | 0.289376i | ||||
\(336\) | 0.280791 | + | 11.3719i | 0.0153184 | + | 0.620389i | ||||
\(337\) | 4.66368 | + | 26.4491i | 0.254047 | + | 1.44077i | 0.798507 | + | 0.601986i | \(0.205624\pi\) |
−0.544460 | + | 0.838787i | \(0.683265\pi\) | |||||||
\(338\) | 17.3532 | − | 6.01030i | 0.943888 | − | 0.326917i | ||||
\(339\) | −7.95857 | + | 3.71114i | −0.432250 | + | 0.201562i | ||||
\(340\) | −11.6288 | + | 15.5487i | −0.630662 | + | 0.843245i | ||||
\(341\) | −1.67349 | − | 1.67349i | −0.0906244 | − | 0.0906244i | ||||
\(342\) | 6.09889 | − | 0.896436i | 0.329790 | − | 0.0484737i | ||||
\(343\) | − | 16.8143i | − | 0.907889i | ||||||
\(344\) | −4.08166 | + | 30.2316i | −0.220068 | + | 1.62998i | ||||
\(345\) | 3.80118 | − | 10.4437i | 0.204649 | − | 0.562268i | ||||
\(346\) | 19.8194 | + | 9.62224i | 1.06550 | + | 0.517295i | ||||
\(347\) | 9.06896 | − | 12.9518i | 0.486847 | − | 0.695290i | −0.498299 | − | 0.867005i | \(-0.666042\pi\) |
0.985147 | + | 0.171715i | \(0.0549308\pi\) | |||||||
\(348\) | −1.53654 | − | 0.320797i | −0.0823670 | − | 0.0171965i | ||||
\(349\) | −1.08849 | − | 4.06229i | −0.0582653 | − | 0.217449i | 0.930655 | − | 0.365899i | \(-0.119238\pi\) |
−0.988920 | + | 0.148450i | \(0.952572\pi\) | |||||||
\(350\) | −2.86673 | − | 1.71546i | −0.153233 | − | 0.0916952i | ||||
\(351\) | −0.0916278 | − | 0.0768848i | −0.00489073 | − | 0.00410381i | ||||
\(352\) | −15.4763 | + | 27.3744i | −0.824889 | + | 1.45906i | ||||
\(353\) | −0.586997 | − | 1.01671i | −0.0312427 | − | 0.0541139i | 0.849981 | − | 0.526813i | \(-0.176613\pi\) |
−0.881224 | + | 0.472699i | \(0.843280\pi\) | |||||||
\(354\) | 0.323938 | − | 20.7039i | 0.0172171 | − | 1.10040i | ||||
\(355\) | −2.49529 | + | 5.35116i | −0.132436 | + | 0.284010i | ||||
\(356\) | 10.8165 | − | 27.0531i | 0.573274 | − | 1.43381i | ||||
\(357\) | −9.36584 | + | 6.55803i | −0.495693 | + | 0.347088i | ||||
\(358\) | 2.76029 | − | 3.81369i | 0.145886 | − | 0.201560i | ||||
\(359\) | 0.251080 | + | 0.299226i | 0.0132515 | + | 0.0157925i | 0.772629 | − | 0.634857i | \(-0.218941\pi\) |
−0.759378 | + | 0.650650i | \(0.774497\pi\) | |||||||
\(360\) | −4.59746 | − | 5.05062i | −0.242307 | − | 0.266191i | ||||
\(361\) | −14.2337 | − | 12.5858i | −0.749142 | − | 0.662409i | ||||
\(362\) | −26.2081 | − | 7.46380i | −1.37747 | − | 0.392289i | ||||
\(363\) | −19.8265 | − | 1.73459i | −1.04062 | − | 0.0910425i | ||||
\(364\) | −0.675538 | − | 0.0804668i | −0.0354078 | − | 0.00421760i | ||||
\(365\) | 16.7442 | + | 23.9132i | 0.876431 | + | 1.25167i | ||||
\(366\) | 6.01637 | − | 4.89000i | 0.314481 | − | 0.255604i | ||||
\(367\) | −8.23760 | + | 2.99824i | −0.429999 | + | 0.156507i | −0.547947 | − | 0.836513i | \(-0.684591\pi\) |
0.117948 | + | 0.993020i | \(0.462368\pi\) | |||||||
\(368\) | 1.15138 | − | 18.3745i | 0.0600199 | − | 0.957840i | ||||
\(369\) | −4.87441 | − | 8.44273i | −0.253752 | − | 0.439511i | ||||
\(370\) | −4.25402 | + | 22.0983i | −0.221156 | + | 1.14884i | ||||
\(371\) | −30.8836 | + | 2.70196i | −1.60339 | + | 0.140279i | ||||
\(372\) | 0.620626 | − | 0.582954i | 0.0321780 | − | 0.0302248i | ||||
\(373\) | 14.4599 | − | 3.87451i | 0.748704 | − | 0.200615i | 0.135761 | − | 0.990742i | \(-0.456652\pi\) |
0.612943 | + | 0.790127i | \(0.289985\pi\) | |||||||
\(374\) | −31.5262 | + | 2.26182i | −1.63018 | + | 0.116956i | ||||
\(375\) | −9.91464 | + | 1.74822i | −0.511990 | + | 0.0902776i | ||||
\(376\) | 3.54784 | + | 0.798835i | 0.182966 | + | 0.0411968i | ||||
\(377\) | 0.0321072 | − | 0.0882138i | 0.00165361 | − | 0.00454324i | ||||
\(378\) | −1.64246 | − | 3.67114i | −0.0844789 | − | 0.188823i | ||||
\(379\) | 4.72675 | + | 4.72675i | 0.242797 | + | 0.242797i | 0.818006 | − | 0.575209i | \(-0.195079\pi\) |
−0.575209 | + | 0.818006i | \(0.695079\pi\) | |||||||
\(380\) | −2.76031 | + | 20.8689i | −0.141601 | + | 1.07055i | ||||
\(381\) | 9.99552 | − | 9.99552i | 0.512086 | − | 0.512086i | ||||
\(382\) | 5.56322 | − | 14.5714i | 0.284639 | − | 0.745538i | ||||
\(383\) | 27.0875 | + | 9.85903i | 1.38411 | + | 0.503773i | 0.923420 | − | 0.383791i | \(-0.125382\pi\) |
0.460685 | + | 0.887564i | \(0.347604\pi\) | |||||||
\(384\) | −9.66969 | − | 5.87342i | −0.493454 | − | 0.299727i | ||||
\(385\) | −6.62873 | − | 37.5934i | −0.337832 | − | 1.91594i | ||||
\(386\) | 10.5021 | − | 12.1255i | 0.534542 | − | 0.617171i | ||||
\(387\) | −2.79148 | − | 10.4180i | −0.141899 | − | 0.529575i | ||||
\(388\) | 10.8815 | + | 0.340592i | 0.552423 | + | 0.0172909i | ||||
\(389\) | 2.31489 | + | 26.4594i | 0.117370 | + | 1.34154i | 0.795210 | + | 0.606334i | \(0.207361\pi\) |
−0.677840 | + | 0.735209i | \(0.737084\pi\) | |||||||
\(390\) | 0.338213 | − | 0.229019i | 0.0171261 | − | 0.0115968i | ||||
\(391\) | 16.0256 | − | 9.25239i | 0.810449 | − | 0.467913i | ||||
\(392\) | −2.58865 | − | 1.66119i | −0.130746 | − | 0.0839029i | ||||
\(393\) | 0.850315 | + | 2.33622i | 0.0428927 | + | 0.117847i | ||||
\(394\) | −3.47926 | + | 33.6889i | −0.175283 | + | 1.69722i | ||||
\(395\) | 22.9011 | − | 16.0355i | 1.15228 | − | 0.806833i | ||||
\(396\) | 1.31502 | − | 11.0399i | 0.0660822 | − | 0.554776i | ||||
\(397\) | 0.198757 | − | 2.27181i | 0.00997534 | − | 0.114019i | −0.989574 | − | 0.144022i | \(-0.953996\pi\) |
0.999550 | + | 0.0300036i | \(0.00955187\pi\) | |||||||
\(398\) | −5.01402 | − | 9.00708i | −0.251330 | − | 0.451484i | ||||
\(399\) | −5.38383 | + | 11.1659i | −0.269529 | + | 0.558992i | ||||
\(400\) | 2.97580 | − | 1.47813i | 0.148790 | − | 0.0739067i | ||||
\(401\) | 25.6940 | − | 21.5598i | 1.28310 | − | 1.07665i | 0.290289 | − | 0.956939i | \(-0.406249\pi\) |
0.992809 | − | 0.119708i | \(-0.0381958\pi\) | |||||||
\(402\) | −0.566724 | − | 3.53675i | −0.0282656 | − | 0.176397i | ||||
\(403\) | 0.0292084 | + | 0.0417139i | 0.00145497 | + | 0.00207791i | ||||
\(404\) | 2.99837 | + | 6.99330i | 0.149175 | + | 0.347930i | ||||
\(405\) | 2.18844 | + | 1.02049i | 0.108745 | + | 0.0507084i | ||||
\(406\) | 2.26659 | − | 2.19676i | 0.112489 | − | 0.109023i | ||||
\(407\) | −31.7257 | + | 18.3169i | −1.57259 | + | 0.907933i | ||||
\(408\) | −0.458509 | − | 11.3623i | −0.0226996 | − | 0.562520i | ||||
\(409\) | −6.67483 | + | 7.95475i | −0.330049 | + | 0.393337i | −0.905393 | − | 0.424574i | \(-0.860424\pi\) |
0.575344 | + | 0.817911i | \(0.304868\pi\) | |||||||
\(410\) | 32.2875 | − | 8.11221i | 1.59456 | − | 0.400634i | ||||
\(411\) | 5.39626 | − | 1.44592i | 0.266178 | − | 0.0713221i | ||||
\(412\) | 26.1061 | + | 5.45042i | 1.28615 | + | 0.268523i | ||||
\(413\) | 34.1083 | + | 23.8829i | 1.67836 | + | 1.17520i | ||||
\(414\) | 2.13029 | + | 6.15066i | 0.104698 | + | 0.302288i | ||||
\(415\) | −2.17311 | − | 0.790947i | −0.106674 | − | 0.0388261i | ||||
\(416\) | 0.430222 | − | 0.522236i | 0.0210934 | − | 0.0256047i | ||||
\(417\) | 11.5715 | 0.566658 | ||||||||
\(418\) | −28.6210 | + | 18.8446i | −1.39990 | + | 0.921721i | ||||
\(419\) | 11.5406 | − | 11.5406i | 0.563797 | − | 0.563797i | −0.366587 | − | 0.930384i | \(-0.619474\pi\) |
0.930384 | + | 0.366587i | \(0.119474\pi\) | |||||||
\(420\) | 13.5933 | − | 1.96057i | 0.663285 | − | 0.0956661i | ||||
\(421\) | 6.10504 | + | 13.0923i | 0.297541 | + | 0.638080i | 0.997067 | − | 0.0765275i | \(-0.0243833\pi\) |
−0.699526 | + | 0.714607i | \(0.746606\pi\) | |||||||
\(422\) | −20.3051 | − | 9.85805i | −0.988437 | − | 0.479882i | ||||
\(423\) | −1.26622 | + | 0.223269i | −0.0615657 | + | 0.0108557i | ||||
\(424\) | 14.3275 | − | 27.3024i | 0.695806 | − | 1.32592i | ||||
\(425\) | 2.89225 | + | 1.66984i | 0.140295 | + | 0.0809993i | ||||
\(426\) | −0.842637 | − | 3.35379i | −0.0408259 | − | 0.162491i | ||||
\(427\) | 1.35880 | + | 15.5312i | 0.0657570 | + | 0.751606i | ||||
\(428\) | −8.11125 | − | 4.09601i | −0.392072 | − | 0.197988i | ||||
\(429\) | 0.642261 | + | 0.172093i | 0.0310087 | + | 0.00830875i | ||||
\(430\) | 36.8265 | + | 0.576196i | 1.77593 | + | 0.0277866i | ||||
\(431\) | 36.0433 | − | 13.1187i | 1.73614 | − | 0.631905i | 0.737107 | − | 0.675776i | \(-0.236191\pi\) |
0.999037 | + | 0.0438713i | \(0.0139691\pi\) | |||||||
\(432\) | 3.95518 | + | 0.597145i | 0.190293 | + | 0.0287301i | ||||
\(433\) | 4.81165 | − | 27.2882i | 0.231233 | − | 1.31139i | −0.619169 | − | 0.785257i | \(-0.712531\pi\) |
0.850403 | − | 0.526132i | \(-0.176358\pi\) | |||||||
\(434\) | 0.270911 | + | 1.69067i | 0.0130041 | + | 0.0811547i | ||||
\(435\) | −0.165171 | + | 1.88791i | −0.00791933 | + | 0.0905184i | ||||
\(436\) | 0.943026 | + | 4.01834i | 0.0451628 | + | 0.192443i | ||||
\(437\) | 10.2554 | − | 17.2433i | 0.490581 | − | 0.824857i | ||||
\(438\) | −16.4435 | − | 4.68294i | −0.785701 | − | 0.223759i | ||||
\(439\) | −20.1851 | − | 24.0556i | −0.963380 | − | 1.14811i | −0.988922 | − | 0.148438i | \(-0.952575\pi\) |
0.0255415 | − | 0.999674i | \(-0.491869\pi\) | |||||||
\(440\) | 35.0282 | + | 14.6448i | 1.66990 | + | 0.698165i | ||||
\(441\) | 1.07094 | + | 0.188836i | 0.0509974 | + | 0.00899221i | ||||
\(442\) | 0.676488 | + | 0.0698652i | 0.0321773 | + | 0.00332315i | ||||
\(443\) | −6.25086 | − | 2.91482i | −0.296987 | − | 0.138487i | 0.268413 | − | 0.963304i | \(-0.413501\pi\) |
−0.565401 | + | 0.824816i | \(0.691278\pi\) | |||||||
\(444\) | −6.22969 | − | 11.6148i | −0.295648 | − | 0.551215i | ||||
\(445\) | −33.9776 | − | 9.10427i | −1.61069 | − | 0.431584i | ||||
\(446\) | 25.1416 | + | 4.83987i | 1.19049 | + | 0.229175i | ||||
\(447\) | 1.47955 | + | 1.24149i | 0.0699802 | + | 0.0587204i | ||||
\(448\) | 20.6822 | − | 9.47853i | 0.977144 | − | 0.447818i | ||||
\(449\) | −10.8042 | + | 18.7134i | −0.509880 | + | 0.883139i | 0.490054 | + | 0.871692i | \(0.336977\pi\) |
−0.999934 | + | 0.0114466i | \(0.996356\pi\) | |||||||
\(450\) | −0.769100 | + | 0.887986i | −0.0362557 | + | 0.0418601i | ||||
\(451\) | 44.3927 | + | 31.0841i | 2.09037 | + | 1.46369i | ||||
\(452\) | 13.0940 | + | 11.7044i | 0.615890 | + | 0.550529i | ||||
\(453\) | 6.44142 | + | 13.8137i | 0.302644 | + | 0.649022i | ||||
\(454\) | 2.18694 | + | 4.88814i | 0.102638 | + | 0.229412i | ||||
\(455\) | 0.821370i | 0.0385064i | ||||||||
\(456\) | −6.45443 | − | 10.5043i | −0.302256 | − | 0.491909i | ||||
\(457\) | − | 11.9271i | − | 0.557924i | −0.960302 | − | 0.278962i | \(-0.910010\pi\) | ||
0.960302 | − | 0.278962i | \(-0.0899904\pi\) | |||||||
\(458\) | −1.69831 | + | 0.759819i | −0.0793568 | + | 0.0355040i | ||||
\(459\) | 1.69912 | + | 3.64378i | 0.0793082 | + | 0.170077i | ||||
\(460\) | −22.1930 | + | 1.24359i | −1.03475 | + | 0.0579825i | ||||
\(461\) | −5.55985 | − | 3.89305i | −0.258948 | − | 0.181317i | 0.436892 | − | 0.899514i | \(-0.356079\pi\) |
−0.695840 | + | 0.718196i | \(0.744968\pi\) | |||||||
\(462\) | 16.8996 | + | 14.6371i | 0.786242 | + | 0.680978i | ||||
\(463\) | 12.4744 | − | 21.6063i | 0.579735 | − | 1.00413i | −0.415774 | − | 0.909468i | \(-0.636489\pi\) |
0.995509 | − | 0.0946627i | \(-0.0301773\pi\) | |||||||
\(464\) | 0.621288 | + | 3.07724i | 0.0288426 | + | 0.142857i | ||||
\(465\) | −0.787510 | − | 0.660799i | −0.0365199 | − | 0.0306438i | ||||
\(466\) | 0.700627 | − | 3.63954i | 0.0324559 | − | 0.168598i | ||||
\(467\) | 26.6248 | + | 7.13411i | 1.23205 | + | 0.330127i | 0.815378 | − | 0.578929i | \(-0.196529\pi\) |
0.416673 | + | 0.909056i | \(0.363196\pi\) | |||||||
\(468\) | −0.0691142 | + | 0.229022i | −0.00319481 | + | 0.0105865i | ||||
\(469\) | 6.52794 | + | 3.04403i | 0.301432 | + | 0.140560i | ||||
\(470\) | 0.451054 | − | 4.36745i | 0.0208056 | − | 0.201455i | ||||
\(471\) | 0.798489 | + | 0.140795i | 0.0367924 | + | 0.00648750i | ||||
\(472\) | −38.3125 | + | 15.7216i | −1.76348 | + | 0.723644i | ||||
\(473\) | 38.5391 | + | 45.9291i | 1.77203 | + | 2.11182i | ||||
\(474\) | −4.48473 | + | 15.7475i | −0.205991 | + | 0.723308i | ||||
\(475\) | 3.62051 | + | 0.0468861i | 0.166121 | + | 0.00215128i | ||||
\(476\) | 19.4362 | + | 12.0475i | 0.890855 | + | 0.552198i | ||||
\(477\) | −0.950108 | + | 10.8598i | −0.0435025 | + | 0.497235i | ||||
\(478\) | −16.5116 | + | 2.64580i | −0.755223 | + | 0.121016i | ||||
\(479\) | −2.98677 | + | 16.9388i | −0.136469 | + | 0.773954i | 0.837357 | + | 0.546657i | \(0.184100\pi\) |
−0.973826 | + | 0.227297i | \(0.927011\pi\) | |||||||
\(480\) | −5.66058 | + | 12.4314i | −0.258369 | + | 0.567413i | ||||
\(481\) | 0.740705 | − | 0.269595i | 0.0337732 | − | 0.0122925i | ||||
\(482\) | 0.000954362 | − | 0.0609962i | 4.34700e−5 | − | 0.00277830i | ||||
\(483\) | −12.6432 | − | 3.38774i | −0.575286 | − | 0.154148i | ||||
\(484\) | 12.4371 | + | 37.8115i | 0.565322 | + | 1.71871i | ||||
\(485\) | −1.14558 | − | 13.0941i | −0.0520182 | − | 0.594570i | ||||
\(486\) | −1.37158 | + | 0.344610i | −0.0622163 | + | 0.0156318i | ||||
\(487\) | 3.72495 | + | 2.15060i | 0.168794 | + | 0.0974531i | 0.582017 | − | 0.813177i | \(-0.302264\pi\) |
−0.413223 | + | 0.910630i | \(0.635597\pi\) | |||||||
\(488\) | −13.7302 | − | 7.20523i | −0.621539 | − | 0.326165i | ||||
\(489\) | 22.2586 | − | 3.92480i | 1.00657 | − | 0.177485i | ||||
\(490\) | −1.62188 | + | 3.34066i | −0.0732690 | + | 0.150916i | ||||
\(491\) | 5.34730 | + | 11.4673i | 0.241320 | + | 0.517513i | 0.989245 | − | 0.146271i | \(-0.0467272\pi\) |
−0.747924 | + | 0.663784i | \(0.768949\pi\) | |||||||
\(492\) | −11.6776 | + | 15.6138i | −0.526466 | + | 0.703926i | ||||
\(493\) | −2.23120 | + | 2.23120i | −0.100488 | + | 0.100488i | ||||
\(494\) | 0.676889 | − | 0.292378i | 0.0304547 | − | 0.0131547i | ||||
\(495\) | −13.4231 | −0.603325 | ||||||||
\(496\) | −1.56069 | − | 0.681382i | −0.0700772 | − | 0.0305950i | ||||
\(497\) | 6.53439 | + | 2.37832i | 0.293107 | + | 0.106682i | ||||
\(498\) | 1.27982 | − | 0.443269i | 0.0573503 | − | 0.0198634i | ||||
\(499\) | 29.8044 | + | 20.8693i | 1.33423 | + | 0.934237i | 0.999966 | − | 0.00824294i | \(-0.00262384\pi\) |
0.334263 | + | 0.942480i | \(0.391513\pi\) | |||||||
\(500\) | 11.0274 | + | 16.8470i | 0.493160 | + | 0.753421i | ||||
\(501\) | 10.6767 | − | 2.86080i | 0.476998 | − | 0.127811i | ||||
\(502\) | −8.21423 | − | 32.6935i | −0.366619 | − | 1.45918i | ||||
\(503\) | 20.0420 | − | 23.8852i | 0.893630 | − | 1.06499i | −0.103889 | − | 0.994589i | \(-0.533129\pi\) |
0.997519 | − | 0.0703979i | \(-0.0224269\pi\) | |||||||
\(504\) | −5.45374 | + | 5.91240i | −0.242929 | + | 0.263359i | ||||
\(505\) | 7.95584 | − | 4.59331i | 0.354030 | − | 0.204399i | ||||
\(506\) | −25.1826 | − | 25.9831i | −1.11950 | − | 1.15509i | ||||
\(507\) | 11.7690 | + | 5.48799i | 0.522681 | + | 0.243730i | ||||
\(508\) | −26.2511 | − | 10.4959i | −1.16470 | − | 0.465678i | ||||
\(509\) | −7.94711 | − | 11.3497i | −0.352249 | − | 0.503064i | 0.603453 | − | 0.797398i | \(-0.293791\pi\) |
−0.955703 | + | 0.294334i | \(0.904902\pi\) | |||||||
\(510\) | −13.5564 | + | 2.17226i | −0.600289 | + | 0.0961894i | ||||
\(511\) | 26.3374 | − | 22.0997i | 1.16510 | − | 0.977635i | ||||
\(512\) | −3.17553 | + | 22.4035i | −0.140340 | + | 0.990103i | ||||
\(513\) | 3.53793 | + | 2.54619i | 0.156203 | + | 0.112417i | ||||
\(514\) | −8.87955 | + | 4.94303i | −0.391660 | + | 0.218028i | ||||
\(515\) | 2.80629 | − | 32.0760i | 0.123660 | − | 1.41344i | ||||
\(516\) | −16.9500 | + | 13.3418i | −0.746181 | + | 0.587339i | ||||
\(517\) | 5.85486 | − | 4.09962i | 0.257497 | − | 0.180301i | ||||
\(518\) | 26.3635 | + | 2.72273i | 1.15835 | + | 0.119630i | ||||
\(519\) | 5.32825 | + | 14.6393i | 0.233884 | + | 0.642592i | ||||
\(520\) | −0.687527 | − | 0.441201i | −0.0301501 | − | 0.0193479i | ||||
\(521\) | −19.7236 | + | 11.3874i | −0.864106 | + | 0.498892i | −0.865385 | − | 0.501107i | \(-0.832926\pi\) |
0.00127881 | + | 0.999999i | \(0.499593\pi\) | |||||||
\(522\) | −0.622324 | − | 0.919044i | −0.0272384 | − | 0.0402255i | ||||
\(523\) | 1.54971 | + | 17.7133i | 0.0677643 | + | 0.774549i | 0.951718 | + | 0.306974i | \(0.0993166\pi\) |
−0.883953 | + | 0.467575i | \(0.845128\pi\) | |||||||
\(524\) | 3.62423 | − | 3.40424i | 0.158325 | − | 0.148715i | ||||
\(525\) | −0.611410 | − | 2.28181i | −0.0266841 | − | 0.0995864i | ||||
\(526\) | −30.1333 | − | 26.0989i | −1.31387 | − | 1.13797i | ||||
\(527\) | −0.297227 | − | 1.68566i | −0.0129474 | − | 0.0734285i | ||||
\(528\) | −21.3296 | + | 6.28349i | −0.928253 | + | 0.273454i | ||||
\(529\) | −1.70615 | − | 0.620986i | −0.0741803 | − | 0.0269994i | ||||
\(530\) | −34.7779 | − | 13.2779i | −1.51066 | − | 0.576755i | ||||
\(531\) | 10.3532 | − | 10.3532i | 0.449291 | − | 0.449291i | ||||
\(532\) | 24.7678 | + | 1.09643i | 1.07382 | + | 0.0475362i | ||||
\(533\) | −0.824537 | − | 0.824537i | −0.0357147 | − | 0.0357147i | ||||
\(534\) | 18.8055 | − | 8.41351i | 0.813792 | − | 0.364088i | ||||
\(535\) | −3.75225 | + | 10.3092i | −0.162224 | + | 0.445706i | ||||
\(536\) | −6.05450 | + | 3.82910i | −0.261515 | + | 0.165392i | ||||
\(537\) | 3.27835 | − | 0.578061i | 0.141471 | − | 0.0249452i | ||||
\(538\) | −2.04190 | − | 28.4609i | −0.0880328 | − | 1.22704i | ||||
\(539\) | −5.83921 | + | 1.56461i | −0.251513 | + | 0.0673926i | ||||
\(540\) | 0.151086 | − | 4.82699i | 0.00650169 | − | 0.207721i | ||||
\(541\) | 13.0131 | − | 1.13850i | 0.559479 | − | 0.0489480i | 0.196090 | − | 0.980586i | \(-0.437175\pi\) |
0.363388 | + | 0.931638i | \(0.381620\pi\) | |||||||
\(542\) | −32.5852 | − | 6.27279i | −1.39965 | − | 0.269439i | ||||
\(543\) | −9.63441 | − | 16.6873i | −0.413452 | − | 0.716120i | ||||
\(544\) | −20.5246 | + | 9.79765i | −0.879984 | + | 0.420071i | ||||
\(545\) | 4.68277 | − | 1.70439i | 0.200588 | − | 0.0730080i | ||||
\(546\) | −0.303413 | − | 0.373302i | −0.0129849 | − | 0.0159758i | ||||
\(547\) | 15.7402 | + | 22.4793i | 0.673001 | + | 0.961145i | 0.999871 | + | 0.0160757i | \(0.00511727\pi\) |
−0.326870 | + | 0.945069i | \(0.605994\pi\) | |||||||
\(548\) | −6.91073 | − | 8.77969i | −0.295212 | − | 0.375050i | ||||
\(549\) | 5.46133 | + | 0.477804i | 0.233084 | + | 0.0203922i | ||||
\(550\) | 1.78867 | − | 6.28067i | 0.0762690 | − | 0.267808i | ||||
\(551\) | −0.928138 | + | 3.29270i | −0.0395400 | + | 0.140274i | ||||
\(552\) | 9.62705 | − | 8.76327i | 0.409754 | − | 0.372989i | ||||
\(553\) | −21.1644 | − | 25.2227i | −0.900001 | − | 1.07258i | ||||
\(554\) | 31.4963 | + | 22.7965i | 1.33815 | + | 0.968531i | ||||
\(555\) | −13.0350 | + | 9.12719i | −0.553304 | + | 0.387427i | ||||
\(556\) | −9.11966 | − | 21.2704i | −0.386760 | − | 0.902064i | ||||
\(557\) | −3.60265 | + | 7.72591i | −0.152649 | + | 0.327357i | −0.967730 | − | 0.251990i | \(-0.918915\pi\) |
0.815081 | + | 0.579348i | \(0.196693\pi\) | |||||||
\(558\) | 0.602011 | + | 0.00941922i | 0.0254852 | + | 0.000398747i | ||||
\(559\) | −0.645033 | − | 1.11723i | −0.0272820 | − | 0.0472538i | ||||
\(560\) | −14.3169 | − | 23.4416i | −0.605002 | − | 0.990590i | ||||
\(561\) | −17.1208 | − | 14.3661i | −0.722842 | − | 0.606537i | ||||
\(562\) | −5.49637 | + | 9.18508i | −0.231851 | + | 0.387449i | ||||
\(563\) | −0.895528 | − | 3.34216i | −0.0377420 | − | 0.140855i | 0.944484 | − | 0.328558i | \(-0.106563\pi\) |
−0.982226 | + | 0.187703i | \(0.939896\pi\) | |||||||
\(564\) | 1.40833 | + | 2.15157i | 0.0593015 | + | 0.0905973i | ||||
\(565\) | 12.1621 | − | 17.3693i | 0.511665 | − | 0.730734i | ||||
\(566\) | −14.9726 | + | 30.8397i | −0.629343 | + | 1.29629i | ||||
\(567\) | 0.972653 | − | 2.67234i | 0.0408476 | − | 0.112228i | ||||
\(568\) | −5.50074 | + | 4.19208i | −0.230806 | + | 0.175896i | ||||
\(569\) | 15.0490i | 0.630886i | 0.948944 | + | 0.315443i | \(0.102153\pi\) | ||||
−0.948944 | + | 0.315443i | \(0.897847\pi\) | |||||||
\(570\) | −11.6715 | + | 9.23803i | −0.488866 | + | 0.386938i | ||||
\(571\) | −0.151460 | − | 0.151460i | −0.00633842 | − | 0.00633842i | 0.703930 | − | 0.710269i | \(-0.251427\pi\) |
−0.710269 | + | 0.703930i | \(0.751427\pi\) | |||||||
\(572\) | −0.189839 | − | 1.31622i | −0.00793756 | − | 0.0550337i | ||||
\(573\) | 9.99561 | − | 4.66103i | 0.417573 | − | 0.194717i | ||||
\(574\) | −12.8319 | − | 37.0486i | −0.535591 | − | 1.54638i | ||||
\(575\) | 0.663908 | + | 3.76521i | 0.0276869 | + | 0.157020i | ||||
\(576\) | −2.01948 | − | 7.74091i | −0.0841450 | − | 0.322538i | ||||
\(577\) | 13.2549 | − | 22.9582i | 0.551810 | − | 0.955763i | −0.446334 | − | 0.894867i | \(-0.647271\pi\) |
0.998144 | − | 0.0608968i | \(-0.0193960\pi\) | |||||||
\(578\) | 1.01437 | + | 0.606998i | 0.0421920 | + | 0.0252478i | ||||
\(579\) | 11.2997 | − | 0.988595i | 0.469599 | − | 0.0410846i | ||||
\(580\) | 3.60048 | − | 1.18428i | 0.149502 | − | 0.0491745i | ||||
\(581\) | −0.704918 | + | 2.63079i | −0.0292449 | + | 0.109144i | ||||
\(582\) | 5.35758 | + | 5.52790i | 0.222079 | + | 0.229139i | ||||
\(583\) | −20.7264 | − | 56.9453i | −0.858399 | − | 2.35843i | ||||
\(584\) | 4.35134 | + | 33.9167i | 0.180060 | + | 1.40348i | ||||
\(585\) | 0.284436 | + | 0.0501537i | 0.0117600 | + | 0.00207360i | ||||
\(586\) | 38.5635 | + | 27.9116i | 1.59304 | + | 1.15302i | ||||
\(587\) | −40.3175 | − | 3.52733i | −1.66408 | − | 0.145588i | −0.784113 | − | 0.620618i | \(-0.786882\pi\) |
−0.879970 | + | 0.475030i | \(0.842437\pi\) | |||||||
\(588\) | −0.496914 | − | 2.11741i | −0.0204924 | − | 0.0873203i | ||||
\(589\) | −1.17434 | − | 1.43691i | −0.0483880 | − | 0.0592070i | ||||
\(590\) | 24.3192 | + | 43.6865i | 1.00120 | + | 1.79854i | ||||
\(591\) | −18.3455 | + | 15.3937i | −0.754633 | + | 0.633212i | ||||
\(592\) | −16.4403 | + | 20.6051i | −0.675692 | + | 0.846863i | ||||
\(593\) | −1.39161 | + | 7.89221i | −0.0571465 | + | 0.324094i | −0.999957 | − | 0.00923419i | \(-0.997061\pi\) |
0.942811 | + | 0.333328i | \(0.108172\pi\) | |||||||
\(594\) | 6.10064 | − | 4.95849i | 0.250312 | − | 0.203449i | ||||
\(595\) | 11.6678 | − | 25.0217i | 0.478334 | − | 1.02579i | ||||
\(596\) | 1.11601 | − | 3.69810i | 0.0457137 | − | 0.151480i | ||||
\(597\) | 1.88661 | − | 7.04093i | 0.0772139 | − | 0.288166i | ||||
\(598\) | 0.436535 | + | 0.644673i | 0.0178513 | + | 0.0263626i | ||||
\(599\) | 11.3790 | − | 13.5609i | 0.464932 | − | 0.554084i | −0.481727 | − | 0.876321i | \(-0.659990\pi\) |
0.946659 | + | 0.322237i | \(0.104435\pi\) | |||||||
\(600\) | 2.23841 | + | 0.713902i | 0.0913827 | + | 0.0291449i | ||||
\(601\) | −4.31919 | − | 2.49368i | −0.176183 | − | 0.101720i | 0.409315 | − | 0.912393i | \(-0.365768\pi\) |
−0.585498 | + | 0.810674i | \(0.699101\pi\) | |||||||
\(602\) | −3.10407 | − | 43.2659i | −0.126513 | − | 1.76338i | ||||
\(603\) | 1.45273 | − | 2.07472i | 0.0591598 | − | 0.0844890i | ||||
\(604\) | 20.3153 | − | 22.7272i | 0.826618 | − | 0.924756i | ||||
\(605\) | 43.5549 | − | 20.3100i | 1.77076 | − | 0.825717i | ||||
\(606\) | −1.91906 | + | 5.02647i | −0.0779565 | + | 0.204187i | ||||
\(607\) | −11.5688 | −0.469563 | −0.234781 | − | 0.972048i | \(-0.575437\pi\) | ||||
−0.234781 | + | 0.972048i | \(0.575437\pi\) | |||||||
\(608\) | −14.2219 | + | 20.1429i | −0.576773 | + | 0.816904i | ||||
\(609\) | 2.23195 | 0.0904431 | ||||||||
\(610\) | −6.67738 | + | 17.4896i | −0.270359 | + | 0.708134i | ||||
\(611\) | −0.139382 | + | 0.0649948i | −0.00563879 | + | 0.00262941i | ||||
\(612\) | 5.35878 | − | 5.99499i | 0.216616 | − | 0.242333i | ||||
\(613\) | 19.2981 | − | 27.5605i | 0.779441 | − | 1.11316i | −0.211304 | − | 0.977420i | \(-0.567771\pi\) |
0.990745 | − | 0.135737i | \(-0.0433403\pi\) | |||||||
\(614\) | 0.185388 | + | 2.58402i | 0.00748167 | + | 0.104283i | ||||
\(615\) | 20.3865 | + | 11.7701i | 0.822062 | + | 0.474618i | ||||
\(616\) | 13.5866 | − | 42.6001i | 0.547418 | − | 1.71641i | ||||
\(617\) | 21.9481 | − | 26.1568i | 0.883598 | − | 1.05303i | −0.114623 | − | 0.993409i | \(-0.536566\pi\) |
0.998221 | − | 0.0596225i | \(-0.0189897\pi\) | |||||||
\(618\) | 10.5734 | + | 15.6148i | 0.425325 | + | 0.628117i | ||||
\(619\) | −1.65039 | + | 6.15932i | −0.0663346 | + | 0.247564i | −0.991129 | − | 0.132903i | \(-0.957570\pi\) |
0.924794 | + | 0.380467i | \(0.124237\pi\) | |||||||
\(620\) | −0.594013 | + | 1.96836i | −0.0238562 | + | 0.0790514i | ||||
\(621\) | −1.94516 | + | 4.17141i | −0.0780567 | + | 0.167393i | ||||
\(622\) | −30.0635 | + | 24.4351i | −1.20544 | + | 0.979757i | ||||
\(623\) | −7.19392 | + | 40.7988i | −0.288219 | + | 1.63457i | ||||
\(624\) | 0.475451 | − | 0.0534517i | 0.0190333 | − | 0.00213978i | ||||
\(625\) | 21.8042 | − | 18.2959i | 0.872167 | − | 0.731835i | ||||
\(626\) | 5.89414 | + | 10.5881i | 0.235577 | + | 0.423186i | ||||
\(627\) | −23.8064 | − | 4.51632i | −0.950736 | − | 0.180364i | ||||
\(628\) | −0.370496 | − | 1.57872i | −0.0147844 | − | 0.0629979i | ||||
\(629\) | −26.3941 | − | 2.30918i | −1.05240 | − | 0.0920732i | ||||
\(630\) | 7.86697 | + | 5.69398i | 0.313428 | + | 0.226854i | ||||
\(631\) | −9.45873 | − | 1.66783i | −0.376546 | − | 0.0663952i | −0.0178277 | − | 0.999841i | \(-0.505675\pi\) |
−0.358718 | + | 0.933446i | \(0.616786\pi\) | |||||||
\(632\) | 32.4812 | − | 4.16717i | 1.29203 | − | 0.165761i | ||||
\(633\) | −5.45883 | − | 14.9980i | −0.216969 | − | 0.596117i | ||||
\(634\) | −9.39424 | − | 9.69288i | −0.373093 | − | 0.384954i | ||||
\(635\) | −8.83438 | + | 32.9703i | −0.350582 | + | 1.30839i | ||||
\(636\) | 20.7109 | − | 6.81230i | 0.821242 | − | 0.270125i | ||||
\(637\) | 0.129579 | − | 0.0113367i | 0.00513409 | − | 0.000449175i | ||||
\(638\) | 5.29449 | + | 3.16823i | 0.209611 | + | 0.125432i | ||||
\(639\) | 1.22260 | − | 2.11760i | 0.0483651 | − | 0.0837709i | ||||
\(640\) | 27.3122 | + | 0.607752i | 1.07961 | + | 0.0240235i | ||||
\(641\) | 2.31098 | + | 13.1062i | 0.0912781 | + | 0.517664i | 0.995824 | + | 0.0912887i | \(0.0290986\pi\) |
−0.904546 | + | 0.426375i | \(0.859790\pi\) | |||||||
\(642\) | −2.10287 | − | 6.07148i | −0.0829935 | − | 0.239622i | ||||
\(643\) | −44.1371 | + | 20.5815i | −1.74060 | + | 0.811653i | −0.752353 | + | 0.658760i | \(0.771081\pi\) |
−0.988243 | + | 0.152893i | \(0.951141\pi\) | |||||||
\(644\) | 3.73707 | + | 25.9103i | 0.147261 | + | 1.02101i | ||||
\(645\) | 18.4155 | + | 18.4155i | 0.725109 | + | 0.725109i | ||||
\(646\) | −24.7737 | − | 0.708580i | −0.974707 | − | 0.0278787i | ||||
\(647\) | 10.2982i | 0.404865i | 0.979296 | + | 0.202433i | \(0.0648847\pi\) | ||||
−0.979296 | + | 0.202433i | \(0.935115\pi\) | |||||||
\(648\) | 1.71442 | + | 2.24961i | 0.0673487 | + | 0.0883732i | ||||
\(649\) | −27.8379 | + | 76.4839i | −1.09273 | + | 3.00226i | ||||
\(650\) | −0.0613686 | + | 0.126404i | −0.00240707 | + | 0.00495797i | ||||
\(651\) | −0.694449 | + | 0.991775i | −0.0272176 | + | 0.0388707i | ||||
\(652\) | −24.7568 | − | 37.8220i | −0.969552 | − | 1.48122i | ||||
\(653\) | −3.61084 | − | 13.4758i | −0.141303 | − | 0.527350i | −0.999892 | − | 0.0146857i | \(-0.995325\pi\) |
0.858589 | − | 0.512664i | \(-0.171341\pi\) | |||||||
\(654\) | −1.49866 | + | 2.50443i | −0.0586022 | + | 0.0979311i | ||||
\(655\) | −4.59877 | − | 3.85882i | −0.179689 | − | 0.150777i | ||||
\(656\) | 37.9042 | + | 9.15988i | 1.47991 | + | 0.357633i | ||||
\(657\) | −6.04482 | − | 10.4699i | −0.235831 | − | 0.408471i | ||||
\(658\) | −5.17042 | − | 0.0808976i | −0.201564 | − | 0.00315372i | ||||
\(659\) | 16.7812 | − | 35.9873i | 0.653702 | − | 1.40187i | −0.247680 | − | 0.968842i | \(-0.579668\pi\) |
0.901381 | − | 0.433026i | \(-0.142554\pi\) | |||||||
\(660\) | 10.5790 | + | 24.6740i | 0.411786 | + | 0.960435i | ||||
\(661\) | 9.07129 | − | 6.35178i | 0.352832 | − | 0.247056i | −0.383701 | − | 0.923458i | \(-0.625351\pi\) |
0.736533 | + | 0.676402i | \(0.236462\pi\) | |||||||
\(662\) | −19.4990 | − | 14.1130i | −0.757850 | − | 0.548519i | ||||
\(663\) | 0.309113 | + | 0.368386i | 0.0120049 | + | 0.0143069i | ||||
\(664\) | −1.82345 | − | 2.00319i | −0.0707637 | − | 0.0777388i | ||||
\(665\) | −2.22245 | − | 29.8498i | −0.0861827 | − | 1.15753i | ||||
\(666\) | 2.55265 | − | 8.96329i | 0.0989131 | − | 0.347320i | ||||
\(667\) | −3.59857 | − | 0.314834i | −0.139337 | − | 0.0121904i | ||||
\(668\) | −13.6731 | − | 17.3709i | −0.529028 | − | 0.672100i | ||||
\(669\) | 10.3842 | + | 14.8301i | 0.401475 | + | 0.573365i | ||||
\(670\) | 5.45517 | + | 6.71172i | 0.210752 | + | 0.259296i | ||||
\(671\) | −28.6375 | + | 10.4232i | −1.10554 | + | 0.402383i | ||||
\(672\) | 15.1662 | + | 5.36525i | 0.585048 | + | 0.206969i | ||||
\(673\) | −0.717654 | − | 1.24301i | −0.0276635 | − | 0.0479147i | 0.851862 | − | 0.523766i | \(-0.175473\pi\) |
−0.879526 | + | 0.475851i | \(0.842140\pi\) | |||||||
\(674\) | 37.2969 | + | 7.17981i | 1.43662 | + | 0.276556i | ||||
\(675\) | −0.827511 | + | 0.0723979i | −0.0318509 | + | 0.00278660i | ||||
\(676\) | 0.812511 | − | 25.9587i | 0.0312504 | − | 0.998411i | ||||
\(677\) | 9.07523 | − | 2.43170i | 0.348789 | − | 0.0934578i | −0.0801711 | − | 0.996781i | \(-0.525547\pi\) |
0.428960 | + | 0.903323i | \(0.358880\pi\) | |||||||
\(678\) | 0.888682 | + | 12.3868i | 0.0341296 | + | 0.475713i | ||||
\(679\) | −15.2450 | + | 2.68811i | −0.585050 | + | 0.103160i | ||||
\(680\) | 14.6770 | + | 23.2070i | 0.562838 | + | 0.889949i | ||||
\(681\) | −1.29509 | + | 3.55823i | −0.0496280 | + | 0.136352i | ||||
\(682\) | −3.05515 | + | 1.36686i | −0.116988 | + | 0.0523399i | ||||
\(683\) | −0.149598 | − | 0.149598i | −0.00572422 | − | 0.00572422i | 0.704239 | − | 0.709963i | \(-0.251288\pi\) |
−0.709963 | + | 0.704239i | \(0.751288\pi\) | |||||||
\(684\) | 1.89204 | − | 8.51001i | 0.0723438 | − | 0.325388i | ||||
\(685\) | −9.53879 | + | 9.53879i | −0.364458 | + | 0.364458i | ||||
\(686\) | −22.2150 | − | 8.48150i | −0.848175 | − | 0.323825i | ||||
\(687\) | −1.23626 | − | 0.449960i | −0.0471661 | − | 0.0171671i | ||||
\(688\) | 37.8830 | + | 20.6421i | 1.44428 | + | 0.786973i | ||||
\(689\) | 0.226423 | + | 1.28411i | 0.00862603 | + | 0.0489206i | ||||
\(690\) | −11.8807 | − | 10.2901i | −0.452292 | − | 0.391738i | ||||
\(691\) | 11.9792 | + | 44.7069i | 0.455709 | + | 1.70073i | 0.685994 | + | 0.727607i | \(0.259367\pi\) |
−0.230285 | + | 0.973123i | \(0.573966\pi\) | |||||||
\(692\) | 22.7102 | − | 21.3317i | 0.863311 | − | 0.810908i | ||||
\(693\) | 1.37783 | + | 15.7487i | 0.0523396 | + | 0.598244i | ||||
\(694\) | −12.5373 | − | 18.5150i | −0.475910 | − | 0.702821i | ||||
\(695\) | −24.1980 | + | 13.9707i | −0.917881 | + | 0.529939i | ||||
\(696\) | −1.19890 | + | 1.86825i | −0.0454441 | + | 0.0708159i | ||||
\(697\) | 13.4054 | + | 36.8310i | 0.507766 | + | 1.39508i | ||||
\(698\) | −5.91613 | − | 0.610996i | −0.223929 | − | 0.0231266i | ||||
\(699\) | 2.14683 | − | 1.50323i | 0.0812005 | − | 0.0568572i | ||||
\(700\) | −3.71250 | + | 2.92221i | −0.140319 | + | 0.110449i | ||||
\(701\) | −3.54721 | + | 40.5448i | −0.133976 | + | 1.53136i | 0.570304 | + | 0.821434i | \(0.306825\pi\) |
−0.704280 | + | 0.709922i | \(0.748730\pi\) | |||||||
\(702\) | −0.147799 | + | 0.0822760i | −0.00557831 | + | 0.00310531i | ||||
\(703\) | −26.1889 | + | 11.8017i | −0.987733 | + | 0.445108i | ||||
\(704\) | 28.3603 | + | 34.2554i | 1.06887 | + | 1.29105i | ||||
\(705\) | 2.37832 | − | 1.99565i | 0.0895728 | − | 0.0751605i | ||||
\(706\) | −1.63936 | + | 0.262690i | −0.0616983 | + | 0.00988645i | ||||
\(707\) | −6.20574 | − | 8.86272i | −0.233391 | − | 0.333317i | ||||
\(708\) | −27.1905 | − | 10.8714i | −1.02188 | − | 0.408574i | ||||
\(709\) | 7.77462 | + | 3.62537i | 0.291982 | + | 0.136153i | 0.563090 | − | 0.826395i | \(-0.309612\pi\) |
−0.271108 | + | 0.962549i | \(0.587390\pi\) | |||||||
\(710\) | 5.81126 | + | 5.99600i | 0.218093 | + | 0.225026i | ||||
\(711\) | −10.0268 | + | 5.78897i | −0.376034 | + | 0.217103i | ||||
\(712\) | −30.2864 | − | 27.9369i | −1.13503 | − | 1.04698i | ||||
\(713\) | 1.25956 | − | 1.50108i | 0.0471708 | − | 0.0562159i | ||||
\(714\) | 3.94013 | + | 15.6821i | 0.147456 | + | 0.586889i | ||||
\(715\) | −1.55085 | + | 0.415550i | −0.0579987 | + | 0.0155407i | ||||
\(716\) | −3.64629 | − | 5.57059i | −0.136268 | − | 0.208183i | ||||
\(717\) | −9.68599 | − | 6.78220i | −0.361730 | − | 0.253286i | ||||
\(718\) | 0.521986 | − | 0.180791i | 0.0194803 | − | 0.00674705i | ||||
\(719\) | −21.5079 | − | 7.82822i | −0.802108 | − | 0.291943i | −0.0917480 | − | 0.995782i | \(-0.529245\pi\) |
−0.710360 | + | 0.703839i | \(0.751468\pi\) | |||||||
\(720\) | −8.99191 | + | 3.52651i | −0.335109 | + | 0.131425i | ||||
\(721\) | −37.9213 | −1.41226 | ||||||||
\(722\) | −23.8081 | + | 12.4570i | −0.886044 | + | 0.463601i | ||||
\(723\) | 0.0305018 | − | 0.0305018i | 0.00113438 | − | 0.00113438i | ||||
\(724\) | −23.0811 | + | 30.8612i | −0.857801 | + | 1.14695i | ||||
\(725\) | −0.275522 | − | 0.590858i | −0.0102326 | − | 0.0219439i | ||||
\(726\) | −12.2926 | + | 25.3197i | −0.456222 | + | 0.939703i | ||||
\(727\) | −31.1297 | + | 5.48900i | −1.15453 | + | 0.203576i | −0.717955 | − | 0.696090i | \(-0.754922\pi\) |
−0.436580 | + | 0.899665i | \(0.643810\pi\) | |||||||
\(728\) | −0.447068 | + | 0.851930i | −0.0165694 | + | 0.0315746i | ||||
\(729\) | −0.866025 | − | 0.500000i | −0.0320750 | − | 0.0185185i | ||||
\(730\) | 40.0401 | − | 10.0601i | 1.48195 | − | 0.372340i | ||||
\(731\) | 3.77930 | + | 43.1976i | 0.139782 | + | 1.59772i | ||||
\(732\) | −3.42587 | − | 10.4154i | −0.126624 | − | 0.384965i | ||||
\(733\) | −21.2272 | − | 5.68782i | −0.784045 | − | 0.210084i | −0.155478 | − | 0.987839i | \(-0.549692\pi\) |
−0.628568 | + | 0.777755i | \(0.716358\pi\) | |||||||
\(734\) | −0.193949 | + | 12.3959i | −0.00715878 | + | 0.457540i | ||||
\(735\) | −2.46752 | + | 0.898104i | −0.0910159 | + | 0.0331271i | ||||
\(736\) | −23.6956 | − | 10.7897i | −0.873432 | − | 0.397714i | ||||
\(737\) | −2.44489 | + | 13.8657i | −0.0900587 | + | 0.510748i | ||||
\(738\) | −13.6133 | + | 2.18137i | −0.501111 | + | 0.0802973i | ||||
\(739\) | −2.52089 | + | 28.8139i | −0.0927325 | + | 1.05994i | 0.797160 | + | 0.603768i | \(0.206335\pi\) |
−0.889893 | + | 0.456170i | \(0.849221\pi\) | |||||||
\(740\) | 27.0504 | + | 16.7672i | 0.994392 | + | 0.616376i | ||||
\(741\) | 0.487582 | + | 0.184650i | 0.0179118 | + | 0.00678328i | ||||
\(742\) | −12.0085 | + | 42.1662i | −0.440845 | + | 1.54797i | ||||
\(743\) | 1.26762 | + | 1.51069i | 0.0465045 | + | 0.0554219i | 0.788795 | − | 0.614656i | \(-0.210705\pi\) |
−0.742291 | + | 0.670078i | \(0.766261\pi\) | |||||||
\(744\) | −0.457140 | − | 1.11402i | −0.0167596 | − | 0.0408421i | ||||
\(745\) | −4.59289 | − | 0.809850i | −0.168270 | − | 0.0296706i | ||||
\(746\) | 2.17487 | − | 21.0587i | 0.0796275 | − | 0.771015i | ||||
\(747\) | 0.867985 | + | 0.404748i | 0.0317579 | + | 0.0148089i | ||||
\(748\) | −12.9141 | + | 42.7932i | −0.472187 | + | 1.56467i | ||||
\(749\) | 12.4805 | + | 3.34413i | 0.456026 | + | 0.122192i | ||||
\(750\) | −2.69141 | + | 13.9810i | −0.0982763 | + | 0.510515i | ||||
\(751\) | 21.3737 | + | 17.9347i | 0.779937 | + | 0.654445i | 0.943233 | − | 0.332132i | \(-0.107768\pi\) |
−0.163296 | + | 0.986577i | \(0.552213\pi\) | |||||||
\(752\) | 2.84502 | − | 4.28444i | 0.103747 | − | 0.156237i | ||||
\(753\) | 11.9181 | − | 20.6428i | 0.434321 | − | 0.752267i | ||||
\(754\) | −0.100352 | − | 0.0869168i | −0.00365461 | − | 0.00316532i | ||||
\(755\) | −30.1479 | − | 21.1098i | −1.09719 | − | 0.768264i | ||||
\(756\) | −5.67879 | + | 0.318211i | −0.206535 | + | 0.0115732i | ||||
\(757\) | 4.96781 | + | 10.6535i | 0.180558 | + | 0.387208i | 0.975667 | − | 0.219259i | \(-0.0703640\pi\) |
−0.795109 | + | 0.606467i | \(0.792586\pi\) | |||||||
\(758\) | 8.62924 | − | 3.86070i | 0.313428 | − | 0.140227i | ||||
\(759\) | − | 25.5860i | − | 0.928713i | ||||||
\(760\) | 26.1796 | + | 14.1736i | 0.949633 | + | 0.514132i | ||||
\(761\) | − | 40.2886i | − | 1.46046i | −0.683202 | − | 0.730230i | \(-0.739413\pi\) | ||
0.683202 | − | 0.730230i | \(-0.260587\pi\) | |||||||
\(762\) | −8.16410 | − | 18.2480i | −0.295754 | − | 0.661055i | ||||
\(763\) | −2.48035 | − | 5.31912i | −0.0897946 | − | 0.192565i | ||||
\(764\) | −16.4455 | − | 14.7002i | −0.594976 | − | 0.531835i | ||||
\(765\) | −7.95243 | − | 5.56835i | −0.287521 | − | 0.201324i | ||||
\(766\) | 26.6892 | − | 30.8148i | 0.964320 | − | 1.11338i | ||||
\(767\) | 0.875654 | − | 1.51668i | 0.0316180 | − | 0.0547641i | ||||
\(768\) | −12.6375 | + | 9.81288i | −0.456018 | + | 0.354092i | ||||
\(769\) | 11.8057 | + | 9.90617i | 0.425725 | + | 0.357226i | 0.830336 | − | 0.557263i | \(-0.188149\pi\) |
−0.404611 | + | 0.914489i | \(0.632593\pi\) | |||||||
\(770\) | −53.0120 | − | 10.2050i | −1.91042 | − | 0.367764i | ||||
\(771\) | −6.94124 | − | 1.85990i | −0.249982 | − | 0.0669826i | ||||
\(772\) | −10.7227 | − | 19.9917i | −0.385917 | − | 0.719515i | ||||
\(773\) | −41.6231 | − | 19.4092i | −1.49708 | − | 0.698099i | −0.510273 | − | 0.860012i | \(-0.670456\pi\) |
−0.986805 | + | 0.161914i | \(0.948233\pi\) | |||||||
\(774\) | −15.1723 | − | 1.56693i | −0.545355 | − | 0.0563223i | ||||
\(775\) | 0.348276 | + | 0.0614105i | 0.0125105 | + | 0.00220593i | ||||
\(776\) | 5.93883 | − | 14.2048i | 0.213192 | − | 0.509921i | ||||
\(777\) | 12.0465 | + | 14.3564i | 0.432165 | + | 0.515034i | ||||
\(778\) | 36.1257 | + | 10.2882i | 1.29517 | + | 0.368850i | ||||
\(779\) | 32.1960 | + | 27.7339i | 1.15354 | + | 0.993671i | ||||
\(780\) | −0.131977 | − | 0.562368i | −0.00472554 | − | 0.0201360i | ||||
\(781\) | −1.18469 | + | 13.5410i | −0.0423914 | + | 0.484536i | ||||
\(782\) | −4.14058 | − | 25.8401i | −0.148067 | − | 0.924039i | ||||
\(783\) | 0.136285 | − | 0.772910i | 0.00487043 | − | 0.0276216i | ||||
\(784\) | −3.50053 | + | 2.58217i | −0.125019 | + | 0.0922205i | ||||
\(785\) | −1.83977 | + | 0.669620i | −0.0656641 | + | 0.0238998i | ||||
\(786\) | 3.51552 | + | 0.0550047i | 0.125395 | + | 0.00196195i | ||||
\(787\) | −22.8992 | − | 6.13583i | −0.816270 | − | 0.218719i | −0.173555 | − | 0.984824i | \(-0.555525\pi\) |
−0.642715 | + | 0.766105i | \(0.722192\pi\) | |||||||
\(788\) | 42.7546 | + | 21.5902i | 1.52307 | + | 0.769118i | ||||
\(789\) | −2.45678 | − | 28.0811i | −0.0874636 | − | 0.999714i | ||||
\(790\) | −9.63427 | − | 38.3454i | −0.342772 | − | 1.36427i | ||||
\(791\) | −21.6270 | − | 12.4864i | −0.768968 | − | 0.443964i | ||||
\(792\) | −13.9226 | − | 7.30616i | −0.494717 | − | 0.259613i | ||||
\(793\) | 0.645771 | − | 0.113867i | 0.0229320 | − | 0.00404353i | ||||
\(794\) | −2.90124 | − | 1.40854i | −0.102961 | − | 0.0499873i | ||||
\(795\) | −11.1246 | − | 23.8568i | −0.394549 | − | 0.846113i | ||||
\(796\) | −14.4293 | + | 2.08115i | −0.511433 | + | 0.0737644i | ||||
\(797\) | −29.2443 | + | 29.2443i | −1.03589 | + | 1.03589i | −0.0365556 | + | 0.999332i | \(0.511639\pi\) |
−0.999332 | + | 0.0365556i | \(0.988361\pi\) | |||||||
\(798\) | 12.0366 | + | 12.7454i | 0.426090 | + | 0.451182i | ||||
\(799\) | 5.16932 | 0.182877 | ||||||||
\(800\) | −0.451852 | − | 4.67722i | −0.0159754 | − | 0.165365i | ||||
\(801\) | 13.6891 | + | 4.98243i | 0.483681 | + | 0.176045i | ||||
\(802\) | −15.5242 | − | 44.8221i | −0.548178 | − | 1.58272i | ||||
\(803\) | 55.0520 | + | 38.5478i | 1.94274 | + | 1.36032i | ||||
\(804\) | −4.95861 | − | 1.03525i | −0.174877 | − | 0.0365106i | ||||
\(805\) | 30.5293 | − | 8.18030i | 1.07602 | − | 0.288318i | ||||
\(806\) | 0.0698455 | − | 0.0175486i | 0.00246020 | − | 0.000618125i | ||||
\(807\) | 12.9693 | − | 15.4562i | 0.456540 | − | 0.544084i | ||||
\(808\) | 10.7520 | − | 0.433878i | 0.378253 | − | 0.0152638i | ||||
\(809\) | −3.15621 | + | 1.82224i | −0.110967 | + | 0.0640666i | −0.554456 | − | 0.832213i | \(-0.687074\pi\) |
0.443490 | + | 0.896280i | \(0.353740\pi\) | |||||||
\(810\) | 2.45216 | − | 2.37661i | 0.0861601 | − | 0.0835055i | ||||
\(811\) | −1.47033 | − | 0.685628i | −0.0516304 | − | 0.0240757i | 0.396632 | − | 0.917978i | \(-0.370179\pi\) |
−0.448262 | + | 0.893902i | \(0.647957\pi\) | |||||||
\(812\) | −1.75903 | − | 4.10270i | −0.0617299 | − | 0.143977i | ||||
\(813\) | −13.4585 | − | 19.2208i | −0.472012 | − | 0.674102i | ||||
\(814\) | 8.19706 | + | 51.1553i | 0.287307 | + | 1.79299i | ||||
\(815\) | −41.8081 | + | 35.0812i | −1.46447 | + | 1.22884i | ||||
\(816\) | −15.2432 | − | 5.12562i | −0.533617 | − | 0.179432i | ||||
\(817\) | 26.4645 | + | 38.8565i | 0.925875 | + | 1.35942i | ||||
\(818\) | 7.14287 | + | 12.8313i | 0.249744 | + | 0.448636i | ||||
\(819\) | 0.0296466 | − | 0.338863i | 0.00103594 | − | 0.0118408i | ||||
\(820\) | 5.56863 | − | 46.7501i | 0.194465 | − | 1.63258i | ||||
\(821\) | −11.9532 | + | 8.36973i | −0.417170 | + | 0.292106i | −0.763255 | − | 0.646098i | \(-0.776400\pi\) |
0.346085 | + | 0.938203i | \(0.387511\pi\) | |||||||
\(822\) | 0.811635 | − | 7.85887i | 0.0283090 | − | 0.274110i | ||||
\(823\) | −0.0929106 | − | 0.255270i | −0.00323866 | − | 0.00889814i | 0.938063 | − | 0.346465i | \(-0.112618\pi\) |
−0.941301 | + | 0.337567i | \(0.890396\pi\) | |||||||
\(824\) | 20.3695 | − | 31.7420i | 0.709606 | − | 1.10578i | ||||
\(825\) | 3.99904 | − | 2.30884i | 0.139229 | − | 0.0803836i | ||||
\(826\) | 48.7589 | − | 33.0168i | 1.69654 | − | 1.14880i | ||||
\(827\) | −3.52972 | − | 40.3448i | −0.122740 | − | 1.40293i | −0.768726 | − | 0.639578i | \(-0.779109\pi\) |
0.645986 | − | 0.763349i | \(-0.276446\pi\) | |||||||
\(828\) | 9.20079 | + | 0.287986i | 0.319749 | + | 0.0100082i | ||||
\(829\) | 2.75495 | + | 10.2816i | 0.0956833 | + | 0.357095i | 0.997122 | − | 0.0758115i | \(-0.0241547\pi\) |
−0.901439 | + | 0.432906i | \(0.857488\pi\) | |||||||
\(830\) | −2.14116 | + | 2.47213i | −0.0743206 | + | 0.0858090i | ||||
\(831\) | 4.77406 | + | 27.0750i | 0.165610 | + | 0.939223i | ||||
\(832\) | −0.472964 | − | 0.831834i | −0.0163971 | − | 0.0288387i | ||||
\(833\) | −4.10845 | − | 1.49535i | −0.142349 | − | 0.0518109i | ||||
\(834\) | 5.83689 | − | 15.2882i | 0.202115 | − | 0.529387i | ||||
\(835\) | −18.8728 | + | 18.8728i | −0.653120 | + | 0.653120i | ||||
\(836\) | 10.4604 | + | 47.3196i | 0.361781 | + | 1.63658i | ||||
\(837\) | 0.301042 | + | 0.301042i | 0.0104055 | + | 0.0104055i | ||||
\(838\) | −9.42611 | − | 21.0688i | −0.325620 | − | 0.727809i | ||||
\(839\) | −12.9598 | + | 35.6067i | −0.447421 | + | 1.22928i | 0.487092 | + | 0.873351i | \(0.338058\pi\) |
−0.934513 | + | 0.355929i | \(0.884165\pi\) | |||||||
\(840\) | 4.26644 | − | 18.9484i | 0.147206 | − | 0.653781i | ||||
\(841\) | −27.9528 | + | 4.92884i | −0.963890 | + | 0.169960i | ||||
\(842\) | 20.3770 | − | 1.46193i | 0.702238 | − | 0.0503815i | ||||
\(843\) | −7.31098 | + | 1.95897i | −0.251803 | + | 0.0674705i | ||||
\(844\) | −23.2667 | + | 21.8544i | −0.800874 | + | 0.752260i | ||||
\(845\) | −31.2370 | + | 2.73288i | −1.07458 | + | 0.0940139i | ||||
\(846\) | −0.343725 | + | 1.78555i | −0.0118175 | + | 0.0613883i | ||||
\(847\) | −28.2994 | − | 49.0161i | −0.972380 | − | 1.68421i | ||||
\(848\) | −28.8448 | − | 32.7014i | −0.990534 | − | 1.12297i | ||||
\(849\) | −22.7792 | + | 8.29095i | −0.781780 | + | 0.284545i | ||||
\(850\) | 3.66510 | − | 2.97893i | 0.125712 | − | 0.102177i | ||||
\(851\) | −17.3974 | − | 24.8461i | −0.596376 | − | 0.851714i | ||||
\(852\) | −4.85605 | − | 0.578429i | −0.166366 | − | 0.0198166i | ||||
\(853\) | −28.0433 | − | 2.45347i | −0.960183 | − | 0.0840051i | −0.403724 | − | 0.914881i | \(-0.632285\pi\) |
−0.556458 | + | 0.830876i | \(0.687840\pi\) | |||||||
\(854\) | 21.2051 | + | 6.03900i | 0.725625 | + | 0.206650i | ||||
\(855\) | −10.4725 | − | 1.05304i | −0.358153 | − | 0.0360132i | ||||
\(856\) | −9.50311 | + | 8.65045i | −0.324810 | + | 0.295666i | ||||
\(857\) | 11.1053 | + | 13.2348i | 0.379350 | + | 0.452092i | 0.921609 | − | 0.388120i | \(-0.126875\pi\) |
−0.542259 | + | 0.840211i | \(0.682431\pi\) | |||||||
\(858\) | 0.551339 | − | 0.761746i | 0.0188224 | − | 0.0260056i | ||||
\(859\) | −25.1190 | + | 17.5885i | −0.857049 | + | 0.600112i | −0.917356 | − | 0.398068i | \(-0.869681\pi\) |
0.0603073 | + | 0.998180i | \(0.480792\pi\) | |||||||
\(860\) | 19.3373 | − | 48.3643i | 0.659396 | − | 1.64921i | ||||
\(861\) | 11.7167 | − | 25.1266i | 0.399305 | − | 0.856313i | ||||
\(862\) | 0.848615 | − | 54.2376i | 0.0289039 | − | 1.84734i | ||||
\(863\) | −22.8370 | − | 39.5548i | −0.777380 | − | 1.34646i | −0.933447 | − | 0.358715i | \(-0.883215\pi\) |
0.156067 | − | 0.987746i | \(-0.450118\pi\) | |||||||
\(864\) | 2.78402 | − | 4.92435i | 0.0947142 | − | 0.167530i | ||||
\(865\) | −28.8168 | − | 24.1802i | −0.979802 | − | 0.822151i | ||||
\(866\) | −33.6260 | − | 20.1219i | −1.14266 | − | 0.683770i | ||||
\(867\) | 0.216341 | + | 0.807396i | 0.00734733 | + | 0.0274206i | ||||
\(868\) | 2.37036 | + | 0.494882i | 0.0804552 | + | 0.0167974i | ||||
\(869\) | 36.9163 | − | 52.7219i | 1.25230 | − | 1.78847i | ||||
\(870\) | 2.41098 | + | 1.17052i | 0.0817400 | + | 0.0396845i | ||||
\(871\) | 0.103614 | − | 0.284678i | 0.00351083 | − | 0.00964593i | ||||
\(872\) | 5.78469 | + | 0.781008i | 0.195894 | + | 0.0264483i | ||||
\(873\) | 5.44340i | 0.184231i | ||||||||
\(874\) | −17.6087 | − | 22.2472i | −0.595623 | − | 0.752524i | ||||
\(875\) | −20.2449 | − | 20.2449i | −0.684404 | − | 0.684404i | ||||
\(876\) | −14.4815 | + | 19.3629i | −0.489285 | + | 0.654213i | ||||
\(877\) | −7.12361 | + | 3.32180i | −0.240547 | + | 0.112169i | −0.539154 | − | 0.842207i | \(-0.681256\pi\) |
0.298607 | + | 0.954376i | \(0.403478\pi\) | |||||||
\(878\) | −41.9639 | + | 14.5343i | −1.41621 | + | 0.490508i | ||||
\(879\) | 5.84527 | + | 33.1502i | 0.197156 | + | 1.11813i | ||||
\(880\) | 37.0176 | − | 38.8920i | 1.24786 | − | 1.31105i | ||||
\(881\) | 22.1905 | − | 38.4350i | 0.747616 | − | 1.29491i | −0.201346 | − | 0.979520i | \(-0.564532\pi\) |
0.948962 | − | 0.315389i | \(-0.102135\pi\) | |||||||
\(882\) | 0.789697 | − | 1.31968i | 0.0265905 | − | 0.0444358i | ||||
\(883\) | −39.4333 | + | 3.44996i | −1.32703 | + | 0.116101i | −0.728527 | − | 0.685017i | \(-0.759795\pi\) |
−0.598507 | + | 0.801117i | \(0.704239\pi\) | |||||||
\(884\) | 0.433540 | − | 0.858533i | 0.0145815 | − | 0.0288756i | ||||
\(885\) | −9.15051 | + | 34.1502i | −0.307591 | + | 1.14794i | ||||
\(886\) | −7.00411 | + | 6.78831i | −0.235308 | + | 0.228058i | ||||
\(887\) | 3.59291 | + | 9.87144i | 0.120638 | + | 0.331450i | 0.985282 | − | 0.170934i | \(-0.0546785\pi\) |
−0.864644 | + | 0.502384i | \(0.832456\pi\) | |||||||
\(888\) | −18.4878 | + | 2.37190i | −0.620411 | + | 0.0795957i | ||||
\(889\) | 39.5893 | + | 6.98067i | 1.32778 | + | 0.234124i | ||||
\(890\) | −29.1675 | + | 40.2987i | −0.977697 | + | 1.35082i | ||||
\(891\) | 5.53782 | + | 0.484497i | 0.185524 | + | 0.0162313i | ||||
\(892\) | 19.0764 | − | 30.7757i | 0.638724 | − | 1.03045i | ||||
\(893\) | 4.88949 | − | 2.73915i | 0.163621 | − | 0.0916621i | ||||
\(894\) | 2.38657 | − | 1.32854i | 0.0798187 | − | 0.0444331i | ||||
\(895\) | −6.15768 | + | 5.16690i | −0.205828 | + | 0.172711i | ||||
\(896\) | −2.09045 | − | 32.1065i | −0.0698370 | − | 1.07260i | ||||
\(897\) | −0.0955985 | + | 0.542166i | −0.00319194 | + | 0.0181024i | ||||
\(898\) | 19.2742 | + | 23.7138i | 0.643188 | + | 0.791341i | ||||
\(899\) | −0.141211 | + | 0.302828i | −0.00470965 | + | 0.0100999i | ||||
\(900\) | 0.785254 | + | 1.46405i | 0.0261751 | + | 0.0488017i | ||||
\(901\) | 11.3436 | − | 42.3347i | 0.377909 | − | 1.41037i | ||||
\(902\) | 63.4608 | − | 42.9720i | 2.11301 | − | 1.43081i | ||||
\(903\) | 19.7157 | − | 23.4963i | 0.656098 | − | 0.781907i | ||||
\(904\) | 22.0687 | − | 11.3958i | 0.733994 | − | 0.379018i | ||||
\(905\) | 40.2944 | + | 23.2640i | 1.33943 | + | 0.773322i | ||||
\(906\) | 21.4997 | − | 1.54248i | 0.714281 | − | 0.0512455i | ||||
\(907\) | 25.4914 | − | 36.4055i | 0.846428 | − | 1.20882i | −0.129683 | − | 0.991555i | \(-0.541396\pi\) |
0.976112 | − | 0.217269i | \(-0.0697150\pi\) | |||||||
\(908\) | 7.56133 | − | 0.423699i | 0.250931 | − | 0.0140610i | ||||
\(909\) | −3.44804 | + | 1.60785i | −0.114364 | + | 0.0533289i | ||||
\(910\) | 1.08519 | + | 0.414316i | 0.0359737 | + | 0.0137344i | ||||
\(911\) | 28.8499 | 0.955841 | 0.477920 | − | 0.878403i | \(-0.341391\pi\) | ||||
0.477920 | + | 0.878403i | \(0.341391\pi\) | |||||||
\(912\) | −17.1340 | + | 3.22898i | −0.567363 | + | 0.106922i | ||||
\(913\) | −5.32391 | −0.176196 | ||||||||
\(914\) | −15.7580 | − | 6.01625i | −0.521228 | − | 0.199000i | ||||
\(915\) | −11.9974 | + | 5.59450i | −0.396623 | + | 0.184949i | ||||
\(916\) | 0.147208 | + | 2.62707i | 0.00486389 | + | 0.0868008i | ||||
\(917\) | −4.05532 | + | 5.79160i | −0.133919 | + | 0.191256i | ||||
\(918\) | 5.67122 | − | 0.406877i | 0.187178 | − | 0.0134289i | ||||
\(919\) | 20.5149 | + | 11.8443i | 0.676724 | + | 0.390707i | 0.798620 | − | 0.601836i | \(-0.205564\pi\) |
−0.121896 | + | 0.992543i | \(0.538897\pi\) | |||||||
\(920\) | −9.55159 | + | 29.9486i | −0.314907 | + | 0.987377i | ||||
\(921\) | −1.17751 | + | 1.40330i | −0.0388002 | + | 0.0462402i | ||||
\(922\) | −7.94799 | + | 5.38192i | −0.261753 | + | 0.177244i | ||||
\(923\) | 0.0756976 | − | 0.282507i | 0.00249162 | − | 0.00929884i | ||||
\(924\) | 27.8630 | − | 14.9445i | 0.916624 | − | 0.491638i | ||||
\(925\) | 2.31347 | − | 4.96126i | 0.0760665 | − | 0.163125i | ||||
\(926\) | −22.2538 | − | 27.3798i | −0.731306 | − | 0.899756i | ||||
\(927\) | −2.31551 | + | 13.1319i | −0.0760514 | + | 0.431309i | ||||
\(928\) | 4.37903 | + | 0.731381i | 0.143749 | + | 0.0240088i | ||||
\(929\) | 32.5237 | − | 27.2906i | 1.06707 | − | 0.895376i | 0.0722842 | − | 0.997384i | \(-0.476971\pi\) |
0.994784 | + | 0.102008i | \(0.0325267\pi\) | |||||||
\(930\) | −1.27028 | + | 0.707134i | −0.0416542 | + | 0.0231878i | ||||
\(931\) | −4.67841 | + | 0.762602i | −0.153329 | + | 0.0249933i | ||||
\(932\) | −4.45513 | − | 2.76152i | −0.145933 | − | 0.0904567i | ||||
\(933\) | −27.2900 | − | 2.38756i | −0.893433 | − | 0.0781653i | ||||
\(934\) | 22.8557 | − | 31.5781i | 0.747861 | − | 1.03327i | ||||
\(935\) | 53.1474 | + | 9.37131i | 1.73810 | + | 0.306475i | ||||
\(936\) | 0.267720 | + | 0.206837i | 0.00875070 | + | 0.00676067i | ||||
\(937\) | 0.985089 | + | 2.70651i | 0.0321815 | + | 0.0884178i | 0.954743 | − | 0.297433i | \(-0.0961303\pi\) |
−0.922561 | + | 0.385850i | \(0.873908\pi\) | |||||||
\(938\) | 7.31459 | − | 7.08922i | 0.238830 | − | 0.231471i | ||||
\(939\) | −2.21777 | + | 8.27684i | −0.0723743 | + | 0.270104i | ||||
\(940\) | −5.54274 | − | 2.79896i | −0.180784 | − | 0.0912921i | ||||
\(941\) | −43.5536 | + | 3.81045i | −1.41981 | + | 0.124217i | −0.771048 | − | 0.636777i | \(-0.780267\pi\) |
−0.648759 | + | 0.760994i | \(0.724712\pi\) | |||||||
\(942\) | 0.588793 | − | 0.983941i | 0.0191839 | − | 0.0320585i | ||||
\(943\) | −22.4352 | + | 38.8589i | −0.730590 | + | 1.26542i | ||||
\(944\) | 1.44566 | + | 58.5487i | 0.0470522 | + | 1.90560i | ||||
\(945\) | 1.19244 | + | 6.76265i | 0.0387900 | + | 0.219989i | ||||
\(946\) | 80.1212 | − | 27.7501i | 2.60497 | − | 0.902234i | ||||
\(947\) | 35.8361 | − | 16.7107i | 1.16452 | − | 0.543024i | 0.258395 | − | 0.966039i | \(-0.416806\pi\) |
0.906122 | + | 0.423016i | \(0.139029\pi\) | |||||||
\(948\) | 18.5434 | + | 13.8686i | 0.602262 | + | 0.450431i | ||||
\(949\) | −1.02252 | − | 1.02252i | −0.0331924 | − | 0.0331924i | ||||
\(950\) | 1.88821 | − | 4.75976i | 0.0612615 | − | 0.154427i | ||||
\(951\) | − | 9.54473i | − | 0.309509i | ||||||
\(952\) | 25.7212 | − | 19.6020i | 0.833627 | − | 0.635303i | ||||
\(953\) | 18.9178 | − | 51.9762i | 0.612808 | − | 1.68368i | −0.111127 | − | 0.993806i | \(-0.535446\pi\) |
0.723934 | − | 0.689869i | \(-0.242332\pi\) | |||||||
\(954\) | 13.8687 | + | 6.73318i | 0.449014 | + | 0.217995i | ||||
\(955\) | −15.2751 | + | 21.8151i | −0.494291 | + | 0.705921i | ||||
\(956\) | −4.83317 | + | 23.1497i | −0.156316 | + | 0.748714i | ||||
\(957\) | 1.12919 | + | 4.21421i | 0.0365017 | + | 0.136226i | ||||
\(958\) | 20.8729 | + | 12.4904i | 0.674373 | + | 0.403546i | ||||
\(959\) | 12.1705 | + | 10.2123i | 0.393007 | + | 0.329772i | ||||
\(960\) | 13.5690 | + | 13.7494i | 0.437937 | + | 0.443759i | ||||
\(961\) | 15.4094 | + | 26.6898i | 0.497077 | + | 0.860962i | ||||
\(962\) | 0.0174394 | − | 1.11461i | 0.000562269 | − | 0.0359363i | ||||
\(963\) | 1.92012 | − | 4.11771i | 0.0618750 | − | 0.132691i | ||||
\(964\) | −0.0801066 | − | 0.0320286i | −0.00258006 | − | 0.00103157i | ||||
\(965\) | −22.4361 | + | 15.7099i | −0.722242 | + | 0.505719i | ||||
\(966\) | −10.8534 | + | 14.9953i | −0.349201 | + | 0.482467i | ||||
\(967\) | 3.44400 | + | 4.10440i | 0.110752 | + | 0.131989i | 0.818572 | − | 0.574404i | \(-0.194766\pi\) |
−0.707821 | + | 0.706392i | \(0.750322\pi\) | |||||||
\(968\) | 56.2300 | + | 2.64109i | 1.80730 | + | 0.0848878i | ||||
\(969\) | −12.2304 | − | 12.5513i | −0.392897 | − | 0.403207i | ||||
\(970\) | −17.8777 | − | 5.09137i | −0.574017 | − | 0.163474i | ||||
\(971\) | −18.3846 | − | 1.60844i | −0.589990 | − | 0.0516174i | −0.211748 | − | 0.977324i | \(-0.567916\pi\) |
−0.378242 | + | 0.925707i | \(0.623471\pi\) | |||||||
\(972\) | −0.236558 | + | 1.98596i | −0.00758759 | + | 0.0636997i | ||||
\(973\) | 18.8750 | + | 26.9563i | 0.605104 | + | 0.864178i | ||||
\(974\) | 4.72031 | − | 3.83658i | 0.151248 | − | 0.122932i | ||||
\(975\) | −0.0933660 | + | 0.0339824i | −0.00299010 | + | 0.00108831i | ||||
\(976\) | −16.4453 | + | 14.5059i | −0.526403 | + | 0.464322i | ||||
\(977\) | −21.5100 | − | 37.2564i | −0.688166 | − | 1.19194i | −0.972431 | − | 0.233192i | \(-0.925083\pi\) |
0.284265 | − | 0.958746i | \(-0.408250\pi\) | |||||||
\(978\) | 6.04228 | − | 31.3878i | 0.193211 | − | 1.00367i | ||||
\(979\) | −80.6731 | + | 7.05798i | −2.57832 | + | 0.225574i | ||||
\(980\) | 3.59556 | + | 3.82792i | 0.114856 | + | 0.122278i | ||||
\(981\) | −1.99343 | + | 0.534139i | −0.0636454 | + | 0.0170537i | ||||
\(982\) | 17.8479 | − | 1.28048i | 0.569548 | − | 0.0408618i | ||||
\(983\) | −3.01097 | + | 0.530916i | −0.0960351 | + | 0.0169336i | −0.221459 | − | 0.975170i | \(-0.571082\pi\) |
0.125424 | + | 0.992103i | \(0.459971\pi\) | |||||||
\(984\) | 14.7385 | + | 23.3043i | 0.469848 | + | 0.742915i | ||||
\(985\) | 19.7782 | − | 54.3401i | 0.630186 | − | 1.73142i | ||||
\(986\) | 1.82239 | + | 4.07332i | 0.0580368 | + | 0.129721i | ||||
\(987\) | −2.58552 | − | 2.58552i | −0.0822982 | − | 0.0822982i | ||||
\(988\) | −0.0448527 | − | 1.04178i | −0.00142695 | − | 0.0331436i | ||||
\(989\) | −35.1020 | + | 35.1020i | −1.11618 | + | 1.11618i | ||||
\(990\) | −6.77091 | + | 17.7346i | −0.215194 | + | 0.563643i | ||||
\(991\) | −37.3486 | − | 13.5938i | −1.18642 | − | 0.431820i | −0.327953 | − | 0.944694i | \(-0.606359\pi\) |
−0.858464 | + | 0.512874i | \(0.828581\pi\) | |||||||
\(992\) | −1.68749 | + | 1.71828i | −0.0535777 | + | 0.0545555i | ||||
\(993\) | −2.95556 | − | 16.7618i | −0.0937920 | − | 0.531921i | ||||
\(994\) | 6.43831 | − | 7.43353i | 0.204211 | − | 0.235777i | ||||
\(995\) | 4.55556 | + | 17.0016i | 0.144421 | + | 0.538986i | ||||
\(996\) | 0.0599239 | − | 1.91449i | 0.00189876 | − | 0.0606630i | ||||
\(997\) | 3.16681 | + | 36.1968i | 0.100294 | + | 1.14636i | 0.864927 | + | 0.501898i | \(0.167365\pi\) |
−0.764633 | + | 0.644466i | \(0.777080\pi\) | |||||||
\(998\) | 42.6064 | − | 28.8506i | 1.34868 | − | 0.913250i | ||||
\(999\) | 5.70712 | − | 3.29501i | 0.180565 | − | 0.104249i |
(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 | 912.2.cq.a.709.49 | yes | 960 | |
16.13 | even | 4 | inner | 912.2.cq.a.253.76 | ✓ | 960 | |
19.16 | even | 9 | inner | 912.2.cq.a.757.76 | yes | 960 | |
304.301 | even | 36 | inner | 912.2.cq.a.301.49 | yes | 960 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
912.2.cq.a.253.76 | ✓ | 960 | 16.13 | even | 4 | inner | |
912.2.cq.a.301.49 | yes | 960 | 304.301 | even | 36 | inner | |
912.2.cq.a.709.49 | yes | 960 | 1.1 | even | 1 | trivial | |
912.2.cq.a.757.76 | yes | 960 | 19.16 | even | 9 | inner |