Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(67,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.w (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 187.18 | ||
Character | \(\chi\) | \(=\) | 300.187 |
Dual form | 300.2.w.a.223.18 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.210253 | − | 1.39850i | 0.148671 | − | 0.988887i | ||||
\(3\) | 0.453990 | − | 0.891007i | 0.262112 | − | 0.514423i | ||||
\(4\) | −1.91159 | − | 0.588077i | −0.955794 | − | 0.294039i | ||||
\(5\) | −0.590092 | − | 2.15680i | −0.263897 | − | 0.964551i | ||||
\(6\) | −1.15062 | − | 0.822241i | −0.469737 | − | 0.335679i | ||||
\(7\) | 1.77479 | − | 1.77479i | 0.670809 | − | 0.670809i | −0.287094 | − | 0.957903i | \(-0.592689\pi\) |
0.957903 | + | 0.287094i | \(0.0926891\pi\) | |||||||
\(8\) | −1.22434 | + | 2.54970i | −0.432870 | + | 0.901456i | ||||
\(9\) | −0.587785 | − | 0.809017i | −0.195928 | − | 0.269672i | ||||
\(10\) | −3.14035 | + | 0.371768i | −0.993065 | + | 0.117563i | ||||
\(11\) | 0.582275 | − | 0.801432i | 0.175562 | − | 0.241641i | −0.712163 | − | 0.702014i | \(-0.752284\pi\) |
0.887726 | + | 0.460373i | \(0.152284\pi\) | |||||||
\(12\) | −1.39182 | + | 1.43626i | −0.401785 | + | 0.414611i | ||||
\(13\) | −0.710606 | + | 4.48659i | −0.197087 | + | 1.24436i | 0.668544 | + | 0.743673i | \(0.266918\pi\) |
−0.865631 | + | 0.500683i | \(0.833082\pi\) | |||||||
\(14\) | −2.10889 | − | 2.85520i | −0.563624 | − | 0.763084i | ||||
\(15\) | −2.18962 | − | 0.453391i | −0.565357 | − | 0.117065i | ||||
\(16\) | 3.30833 | + | 2.24832i | 0.827083 | + | 0.562080i | ||||
\(17\) | −3.22163 | + | 1.64150i | −0.781361 | + | 0.398123i | −0.798702 | − | 0.601727i | \(-0.794480\pi\) |
0.0173417 | + | 0.999850i | \(0.494480\pi\) | |||||||
\(18\) | −1.25499 | + | 0.651917i | −0.295804 | + | 0.153658i | ||||
\(19\) | 0.911162 | − | 2.80427i | 0.209035 | − | 0.643343i | −0.790489 | − | 0.612477i | \(-0.790173\pi\) |
0.999524 | − | 0.0308666i | \(-0.00982672\pi\) | |||||||
\(20\) | −0.140352 | + | 4.46993i | −0.0313837 | + | 0.999507i | ||||
\(21\) | −0.775613 | − | 2.38709i | −0.169253 | − | 0.520906i | ||||
\(22\) | −0.998375 | − | 0.982813i | −0.212854 | − | 0.209536i | ||||
\(23\) | −1.25105 | − | 7.89882i | −0.260862 | − | 1.64702i | −0.675739 | − | 0.737141i | \(-0.736175\pi\) |
0.414877 | − | 0.909877i | \(-0.363825\pi\) | |||||||
\(24\) | 1.71596 | + | 2.24844i | 0.350270 | + | 0.458960i | ||||
\(25\) | −4.30358 | + | 2.54542i | −0.860716 | + | 0.509085i | ||||
\(26\) | 6.12507 | + | 1.93710i | 1.20123 | + | 0.379896i | ||||
\(27\) | −0.987688 | + | 0.156434i | −0.190081 | + | 0.0301058i | ||||
\(28\) | −4.43639 | + | 2.34896i | −0.838398 | + | 0.443911i | ||||
\(29\) | 0.616890 | − | 0.200440i | 0.114554 | − | 0.0372207i | −0.251179 | − | 0.967941i | \(-0.580818\pi\) |
0.365733 | + | 0.930720i | \(0.380818\pi\) | |||||||
\(30\) | −1.09444 | + | 2.96685i | −0.199817 | + | 0.541670i | ||||
\(31\) | 6.41357 | + | 2.08390i | 1.15191 | + | 0.374279i | 0.821863 | − | 0.569685i | \(-0.192935\pi\) |
0.330048 | + | 0.943964i | \(0.392935\pi\) | |||||||
\(32\) | 3.83986 | − | 4.15397i | 0.678797 | − | 0.734326i | ||||
\(33\) | −0.449734 | − | 0.882653i | −0.0782887 | − | 0.153650i | ||||
\(34\) | 1.61828 | + | 4.85057i | 0.277533 | + | 0.831867i | ||||
\(35\) | −4.87517 | − | 2.78058i | −0.824054 | − | 0.470005i | ||||
\(36\) | 0.647838 | + | 1.89217i | 0.107973 | + | 0.315362i | ||||
\(37\) | 4.16075 | + | 0.658998i | 0.684023 | + | 0.108339i | 0.488768 | − | 0.872414i | \(-0.337447\pi\) |
0.195255 | + | 0.980752i | \(0.437447\pi\) | |||||||
\(38\) | −3.73019 | − | 1.86386i | −0.605116 | − | 0.302359i | ||||
\(39\) | 3.67497 | + | 2.67002i | 0.588466 | + | 0.427546i | ||||
\(40\) | 6.22168 | + | 1.13610i | 0.983734 | + | 0.179633i | ||||
\(41\) | 9.50896 | − | 6.90867i | 1.48505 | − | 1.07895i | 0.509165 | − | 0.860669i | \(-0.329954\pi\) |
0.975885 | − | 0.218283i | \(-0.0700457\pi\) | |||||||
\(42\) | −3.50142 | + | 0.582799i | −0.540280 | + | 0.0899278i | ||||
\(43\) | 1.10111 | + | 1.10111i | 0.167918 | + | 0.167918i | 0.786063 | − | 0.618146i | \(-0.212116\pi\) |
−0.618146 | + | 0.786063i | \(0.712116\pi\) | |||||||
\(44\) | −1.58437 | + | 1.18959i | −0.238853 | + | 0.179337i | ||||
\(45\) | −1.39804 | + | 1.74513i | −0.208408 | + | 0.260149i | ||||
\(46\) | −11.3095 | + | 0.0888373i | −1.66750 | + | 0.0130983i | ||||
\(47\) | 8.43980 | + | 4.30030i | 1.23107 | + | 0.627262i | 0.943778 | − | 0.330580i | \(-0.107244\pi\) |
0.287294 | + | 0.957842i | \(0.407244\pi\) | |||||||
\(48\) | 3.50522 | − | 1.92703i | 0.505935 | − | 0.278143i | ||||
\(49\) | 0.700218i | 0.100031i | ||||||||
\(50\) | 2.65492 | + | 6.55373i | 0.375463 | + | 0.926837i | ||||
\(51\) | 3.61572i | 0.506302i | ||||||||
\(52\) | 3.99684 | − | 8.15861i | 0.554263 | − | 1.13140i | ||||
\(53\) | −5.38846 | − | 2.74556i | −0.740162 | − | 0.377131i | 0.0428967 | − | 0.999080i | \(-0.486341\pi\) |
−0.783058 | + | 0.621948i | \(0.786341\pi\) | |||||||
\(54\) | 0.0111084 | + | 1.41417i | 0.00151167 | + | 0.192444i | ||||
\(55\) | −2.07213 | − | 0.782931i | −0.279405 | − | 0.105570i | ||||
\(56\) | 2.35224 | + | 6.69815i | 0.314332 | + | 0.895078i | ||||
\(57\) | −2.08496 | − | 2.08496i | −0.276160 | − | 0.276160i | ||||
\(58\) | −0.150611 | − | 0.904861i | −0.0197762 | − | 0.118814i | ||||
\(59\) | −5.91350 | + | 4.29641i | −0.769872 | + | 0.559345i | −0.901922 | − | 0.431898i | \(-0.857844\pi\) |
0.132051 | + | 0.991243i | \(0.457844\pi\) | |||||||
\(60\) | 3.91902 | + | 2.15436i | 0.505943 | + | 0.278127i | ||||
\(61\) | 1.00189 | + | 0.727914i | 0.128279 | + | 0.0931999i | 0.650074 | − | 0.759871i | \(-0.274738\pi\) |
−0.521796 | + | 0.853070i | \(0.674738\pi\) | |||||||
\(62\) | 4.26280 | − | 8.53121i | 0.541376 | − | 1.08347i | ||||
\(63\) | −2.47904 | − | 0.392641i | −0.312329 | − | 0.0494681i | ||||
\(64\) | −5.00198 | − | 6.24341i | −0.625247 | − | 0.780427i | ||||
\(65\) | 10.0960 | − | 1.11487i | 1.25225 | − | 0.138282i | ||||
\(66\) | −1.32895 | + | 0.443371i | −0.163582 | + | 0.0545752i | ||||
\(67\) | −2.66543 | − | 5.23120i | −0.325634 | − | 0.639093i | 0.668918 | − | 0.743336i | \(-0.266758\pi\) |
−0.994552 | + | 0.104244i | \(0.966758\pi\) | |||||||
\(68\) | 7.12376 | − | 1.24331i | 0.863883 | − | 0.150773i | ||||
\(69\) | −7.60587 | − | 2.47130i | −0.915639 | − | 0.297509i | ||||
\(70\) | −4.91366 | + | 6.23328i | −0.587295 | + | 0.745019i | ||||
\(71\) | 11.9160 | − | 3.87174i | 1.41417 | − | 0.459491i | 0.500423 | − | 0.865781i | \(-0.333178\pi\) |
0.913744 | + | 0.406291i | \(0.133178\pi\) | |||||||
\(72\) | 2.78240 | − | 0.508165i | 0.327909 | − | 0.0598878i | ||||
\(73\) | −8.37438 | + | 1.32637i | −0.980147 | + | 0.155240i | −0.625893 | − | 0.779909i | \(-0.715265\pi\) |
−0.354254 | + | 0.935149i | \(0.615265\pi\) | |||||||
\(74\) | 1.79642 | − | 5.68024i | 0.208829 | − | 0.660314i | ||||
\(75\) | 0.314203 | + | 4.99012i | 0.0362811 | + | 0.576209i | ||||
\(76\) | −3.39089 | + | 4.82477i | −0.388962 | + | 0.553439i | ||||
\(77\) | −0.388959 | − | 2.45579i | −0.0443260 | − | 0.279864i | ||||
\(78\) | 4.50669 | − | 4.57805i | 0.510283 | − | 0.518363i | ||||
\(79\) | 2.78730 | + | 8.57843i | 0.313596 | + | 0.965149i | 0.976328 | + | 0.216293i | \(0.0693967\pi\) |
−0.662732 | + | 0.748856i | \(0.730603\pi\) | |||||||
\(80\) | 2.89696 | − | 8.46213i | 0.323890 | − | 0.946095i | ||||
\(81\) | −0.309017 | + | 0.951057i | −0.0343352 | + | 0.105673i | ||||
\(82\) | −7.66246 | − | 14.7508i | −0.846177 | − | 1.62896i | ||||
\(83\) | 3.13531 | − | 1.59752i | 0.344145 | − | 0.175351i | −0.273372 | − | 0.961908i | \(-0.588139\pi\) |
0.617516 | + | 0.786558i | \(0.288139\pi\) | |||||||
\(84\) | 0.0788583 | + | 5.01925i | 0.00860414 | + | 0.547646i | ||||
\(85\) | 5.44146 | + | 5.97978i | 0.590209 | + | 0.648598i | ||||
\(86\) | 1.77141 | − | 1.30839i | 0.191016 | − | 0.141087i | ||||
\(87\) | 0.101469 | − | 0.640650i | 0.0108786 | − | 0.0686849i | ||||
\(88\) | 1.33051 | + | 2.46585i | 0.141833 | + | 0.262861i | ||||
\(89\) | 3.29356 | − | 4.53320i | 0.349117 | − | 0.480518i | −0.597960 | − | 0.801526i | \(-0.704022\pi\) |
0.947076 | + | 0.321008i | \(0.104022\pi\) | |||||||
\(90\) | 2.14662 | + | 2.32208i | 0.226273 | + | 0.244768i | ||||
\(91\) | 6.70159 | + | 9.22394i | 0.702517 | + | 0.966932i | ||||
\(92\) | −2.25362 | + | 15.8350i | −0.234956 | + | 1.65091i | ||||
\(93\) | 4.76846 | − | 4.76846i | 0.494467 | − | 0.494467i | ||||
\(94\) | 7.78845 | − | 10.8989i | 0.803317 | − | 1.12413i | ||||
\(95\) | −6.58592 | − | 0.310418i | −0.675701 | − | 0.0318482i | ||||
\(96\) | −1.95796 | − | 5.30720i | −0.199833 | − | 0.541664i | ||||
\(97\) | 3.83895 | − | 7.53437i | 0.389786 | − | 0.764999i | −0.609835 | − | 0.792529i | \(-0.708764\pi\) |
0.999621 | + | 0.0275298i | \(0.00876413\pi\) | |||||||
\(98\) | 0.979253 | + | 0.147223i | 0.0989194 | + | 0.0148718i | ||||
\(99\) | −0.990625 | −0.0995615 | ||||||||
\(100\) | 9.72358 | − | 2.33496i | 0.972358 | − | 0.233496i | ||||
\(101\) | −6.21954 | −0.618867 | −0.309434 | − | 0.950921i | \(-0.600139\pi\) | ||||
−0.309434 | + | 0.950921i | \(0.600139\pi\) | |||||||
\(102\) | 5.05658 | + | 0.760217i | 0.500676 | + | 0.0752727i | ||||
\(103\) | 6.88277 | − | 13.5082i | 0.678180 | − | 1.33100i | −0.253363 | − | 0.967371i | \(-0.581537\pi\) |
0.931543 | − | 0.363632i | \(-0.118463\pi\) | |||||||
\(104\) | −10.5694 | − | 7.30495i | −1.03642 | − | 0.716309i | ||||
\(105\) | −4.69080 | + | 3.08145i | −0.457775 | + | 0.300718i | ||||
\(106\) | −4.97259 | + | 6.95848i | −0.482981 | + | 0.675867i | ||||
\(107\) | −12.1376 | + | 12.1376i | −1.17338 | + | 1.17338i | −0.191983 | + | 0.981398i | \(0.561492\pi\) |
−0.981398 | + | 0.191983i | \(0.938508\pi\) | |||||||
\(108\) | 1.98005 | + | 0.281799i | 0.190530 | + | 0.0271161i | ||||
\(109\) | 9.77725 | + | 13.4572i | 0.936490 | + | 1.28897i | 0.957273 | + | 0.289184i | \(0.0933840\pi\) |
−0.0207832 | + | 0.999784i | \(0.506616\pi\) | |||||||
\(110\) | −1.53060 | + | 2.73325i | −0.145937 | + | 0.260605i | ||||
\(111\) | 2.47611 | − | 3.40808i | 0.235022 | − | 0.323480i | ||||
\(112\) | 9.86191 | − | 1.88130i | 0.931863 | − | 0.177766i | ||||
\(113\) | −1.31076 | + | 8.27580i | −0.123306 | + | 0.778522i | 0.846094 | + | 0.533034i | \(0.178948\pi\) |
−0.969400 | + | 0.245488i | \(0.921052\pi\) | |||||||
\(114\) | −3.35418 | + | 2.47744i | −0.314148 | + | 0.232034i | ||||
\(115\) | −16.2980 | + | 7.35930i | −1.51979 | + | 0.686258i | ||||
\(116\) | −1.29711 | + | 0.0203791i | −0.120434 | + | 0.00189215i | ||||
\(117\) | 4.04741 | − | 2.06226i | 0.374183 | − | 0.190656i | ||||
\(118\) | 4.76518 | + | 9.17334i | 0.438670 | + | 0.844474i | ||||
\(119\) | −2.80440 | + | 8.63106i | −0.257079 | + | 0.791208i | ||||
\(120\) | 3.83686 | − | 5.02778i | 0.350255 | − | 0.458971i | ||||
\(121\) | 3.09594 | + | 9.52831i | 0.281449 | + | 0.866210i | ||||
\(122\) | 1.22864 | − | 1.24809i | 0.111235 | − | 0.112997i | ||||
\(123\) | −1.83869 | − | 11.6090i | −0.165789 | − | 1.04675i | ||||
\(124\) | −11.0346 | − | 7.75522i | −0.990937 | − | 0.696439i | ||||
\(125\) | 8.02948 | + | 7.77994i | 0.718179 | + | 0.695859i | ||||
\(126\) | −1.07033 | + | 3.38437i | −0.0953527 | + | 0.301504i | ||||
\(127\) | −16.4029 | + | 2.59797i | −1.45552 | + | 0.230532i | −0.833523 | − | 0.552484i | \(-0.813680\pi\) |
−0.622001 | + | 0.783017i | \(0.713680\pi\) | |||||||
\(128\) | −9.78308 | + | 5.68255i | −0.864710 | + | 0.502271i | ||||
\(129\) | 1.48099 | − | 0.481202i | 0.130394 | − | 0.0423675i | ||||
\(130\) | 0.563581 | − | 14.3536i | 0.0494293 | − | 1.25890i | ||||
\(131\) | −14.3823 | − | 4.67308i | −1.25658 | − | 0.408289i | −0.396308 | − | 0.918118i | \(-0.629709\pi\) |
−0.860276 | + | 0.509829i | \(0.829709\pi\) | |||||||
\(132\) | 0.340638 | + | 1.95175i | 0.0296487 | + | 0.169878i | ||||
\(133\) | −3.35987 | − | 6.59412i | −0.291338 | − | 0.571783i | ||||
\(134\) | −7.87623 | + | 2.62772i | −0.680403 | + | 0.227000i | ||||
\(135\) | 0.920225 | + | 2.03794i | 0.0792004 | + | 0.175398i | ||||
\(136\) | −0.240970 | − | 10.2240i | −0.0206630 | − | 0.876698i | ||||
\(137\) | −8.05142 | − | 1.27522i | −0.687880 | − | 0.108949i | −0.197296 | − | 0.980344i | \(-0.563216\pi\) |
−0.490583 | + | 0.871394i | \(0.663216\pi\) | |||||||
\(138\) | −5.05526 | + | 10.1172i | −0.430332 | + | 0.861232i | ||||
\(139\) | −1.71761 | − | 1.24792i | −0.145686 | − | 0.105847i | 0.512555 | − | 0.858654i | \(-0.328699\pi\) |
−0.658241 | + | 0.752807i | \(0.728699\pi\) | |||||||
\(140\) | 7.68411 | + | 8.18230i | 0.649426 | + | 0.691531i | ||||
\(141\) | 7.66318 | − | 5.56763i | 0.645356 | − | 0.468879i | ||||
\(142\) | −2.90924 | − | 17.4785i | −0.244138 | − | 1.46676i | ||||
\(143\) | 3.18193 | + | 3.18193i | 0.266086 | + | 0.266086i | ||||
\(144\) | −0.125658 | − | 3.99803i | −0.0104715 | − | 0.333169i | ||||
\(145\) | −0.796330 | − | 1.21223i | −0.0661316 | − | 0.100670i | ||||
\(146\) | 0.0941859 | + | 11.9904i | 0.00779488 | + | 0.992334i | ||||
\(147\) | 0.623899 | + | 0.317892i | 0.0514583 | + | 0.0262193i | ||||
\(148\) | −7.56609 | − | 3.70657i | −0.621929 | − | 0.304678i | ||||
\(149\) | 6.70318i | 0.549146i | 0.961566 | + | 0.274573i | \(0.0885365\pi\) | ||||
−0.961566 | + | 0.274573i | \(0.911463\pi\) | |||||||
\(150\) | 7.04473 | + | 0.609776i | 0.575200 | + | 0.0497880i | ||||
\(151\) | − | 3.66896i | − | 0.298576i | −0.988794 | − | 0.149288i | \(-0.952302\pi\) | ||
0.988794 | − | 0.149288i | \(-0.0476982\pi\) | |||||||
\(152\) | 6.03448 | + | 5.75658i | 0.489461 | + | 0.466920i | ||||
\(153\) | 3.22163 | + | 1.64150i | 0.260454 | + | 0.132708i | ||||
\(154\) | −3.51620 | + | 0.0276201i | −0.283343 | + | 0.00222569i | ||||
\(155\) | 0.709950 | − | 15.0625i | 0.0570245 | − | 1.20985i | ||||
\(156\) | −5.45485 | − | 7.26515i | −0.436737 | − | 0.581677i | ||||
\(157\) | 12.4337 | + | 12.4337i | 0.992319 | + | 0.992319i | 0.999971 | − | 0.00765190i | \(-0.00243570\pi\) |
−0.00765190 | + | 0.999971i | \(0.502436\pi\) | |||||||
\(158\) | 12.5830 | − | 2.09439i | 1.00105 | − | 0.166621i | ||||
\(159\) | −4.89262 | + | 3.55469i | −0.388010 | + | 0.281906i | ||||
\(160\) | −11.2252 | − | 5.83058i | −0.887427 | − | 0.460948i | ||||
\(161\) | −16.2391 | − | 11.7984i | −1.27982 | − | 0.929846i | ||||
\(162\) | 1.26508 | + | 0.632122i | 0.0993939 | + | 0.0496642i | ||||
\(163\) | −9.09281 | − | 1.44016i | −0.712204 | − | 0.112802i | −0.210189 | − | 0.977661i | \(-0.567408\pi\) |
−0.502015 | + | 0.864859i | \(0.667408\pi\) | |||||||
\(164\) | −22.2400 | + | 7.61451i | −1.73666 | + | 0.594594i | ||||
\(165\) | −1.63832 | + | 1.49083i | −0.127543 | + | 0.116061i | ||||
\(166\) | −1.57492 | − | 4.72060i | −0.122237 | − | 0.366390i | ||||
\(167\) | 7.73498 | + | 15.1807i | 0.598550 | + | 1.17472i | 0.969275 | + | 0.245979i | \(0.0791093\pi\) |
−0.370725 | + | 0.928743i | \(0.620891\pi\) | |||||||
\(168\) | 7.03599 | + | 0.945031i | 0.542839 | + | 0.0729108i | ||||
\(169\) | −7.26078 | − | 2.35917i | −0.558521 | − | 0.181475i | ||||
\(170\) | 9.50679 | − | 6.35259i | 0.729137 | − | 0.487222i | ||||
\(171\) | −2.80427 | + | 0.911162i | −0.214448 | + | 0.0696783i | ||||
\(172\) | −1.45733 | − | 2.75240i | −0.111120 | − | 0.209869i | ||||
\(173\) | −14.7932 | + | 2.34301i | −1.12470 | + | 0.178136i | −0.690955 | − | 0.722898i | \(-0.742810\pi\) |
−0.433749 | + | 0.901034i | \(0.642810\pi\) | |||||||
\(174\) | −0.874613 | − | 0.276603i | −0.0663043 | − | 0.0209692i | ||||
\(175\) | −3.12037 | + | 12.1556i | −0.235878 | + | 0.918875i | ||||
\(176\) | 3.72823 | − | 1.34226i | 0.281026 | − | 0.101177i | ||||
\(177\) | 1.14346 | + | 7.21949i | 0.0859474 | + | 0.542650i | ||||
\(178\) | −5.64718 | − | 5.55916i | −0.423274 | − | 0.416676i | ||||
\(179\) | −0.284605 | − | 0.875924i | −0.0212724 | − | 0.0654696i | 0.939857 | − | 0.341569i | \(-0.110958\pi\) |
−0.961129 | + | 0.276099i | \(0.910958\pi\) | |||||||
\(180\) | 3.69875 | − | 2.51381i | 0.275688 | − | 0.187369i | ||||
\(181\) | −3.55067 | + | 10.9278i | −0.263919 | + | 0.812259i | 0.728022 | + | 0.685554i | \(0.240440\pi\) |
−0.991940 | + | 0.126705i | \(0.959560\pi\) | |||||||
\(182\) | 14.3087 | − | 7.43279i | 1.06063 | − | 0.550955i | ||||
\(183\) | 1.10342 | − | 0.562223i | 0.0815675 | − | 0.0415607i | ||||
\(184\) | 21.6714 | + | 6.48105i | 1.59763 | + | 0.477789i | ||||
\(185\) | −1.03390 | − | 9.36278i | −0.0760137 | − | 0.688365i | ||||
\(186\) | −5.66610 | − | 7.67127i | −0.415458 | − | 0.562485i | ||||
\(187\) | −0.560321 | + | 3.53772i | −0.0409747 | + | 0.258704i | ||||
\(188\) | −13.6045 | − | 13.1836i | −0.992211 | − | 0.961516i | ||||
\(189\) | −1.47530 | + | 2.03058i | −0.107313 | + | 0.147703i | ||||
\(190\) | −1.81883 | + | 9.14512i | −0.131952 | + | 0.663457i | ||||
\(191\) | 12.4464 | + | 17.1310i | 0.900587 | + | 1.23955i | 0.970280 | + | 0.241984i | \(0.0777980\pi\) |
−0.0696930 | + | 0.997568i | \(0.522202\pi\) | |||||||
\(192\) | −7.83377 | + | 1.62234i | −0.565354 | + | 0.117083i | ||||
\(193\) | 10.4449 | − | 10.4449i | 0.751839 | − | 0.751839i | −0.222983 | − | 0.974822i | \(-0.571579\pi\) |
0.974822 | + | 0.222983i | \(0.0715794\pi\) | |||||||
\(194\) | −9.72963 | − | 6.95289i | −0.698547 | − | 0.499188i | ||||
\(195\) | 3.59014 | − | 9.50174i | 0.257095 | − | 0.680434i | ||||
\(196\) | 0.411782 | − | 1.33853i | 0.0294130 | − | 0.0956091i | ||||
\(197\) | −9.78412 | + | 19.2024i | −0.697090 | + | 1.36812i | 0.222382 | + | 0.974960i | \(0.428617\pi\) |
−0.919472 | + | 0.393156i | \(0.871383\pi\) | |||||||
\(198\) | −0.208282 | + | 1.38539i | −0.0148020 | + | 0.0984551i | ||||
\(199\) | 10.7861 | 0.764606 | 0.382303 | − | 0.924037i | \(-0.375131\pi\) | ||||
0.382303 | + | 0.924037i | \(0.375131\pi\) | |||||||
\(200\) | −1.22102 | − | 14.0893i | −0.0863393 | − | 0.996266i | ||||
\(201\) | −5.87111 | −0.414116 | ||||||||
\(202\) | −1.30768 | + | 8.69801i | −0.0920080 | + | 0.611990i | ||||
\(203\) | 0.739113 | − | 1.45059i | 0.0518755 | − | 0.101811i | ||||
\(204\) | 2.12632 | − | 6.91177i | 0.148872 | − | 0.483921i | ||||
\(205\) | −20.5118 | − | 16.4322i | −1.43261 | − | 1.14767i | ||||
\(206\) | −17.4441 | − | 12.4657i | −1.21539 | − | 0.868525i | ||||
\(207\) | −5.65493 | + | 5.65493i | −0.393045 | + | 0.393045i | ||||
\(208\) | −12.4382 | + | 13.2454i | −0.862435 | + | 0.918407i | ||||
\(209\) | −1.71688 | − | 2.36309i | −0.118759 | − | 0.163458i | ||||
\(210\) | 3.32314 | + | 7.20795i | 0.229318 | + | 0.497396i | ||||
\(211\) | 13.2828 | − | 18.2822i | 0.914424 | − | 1.25860i | −0.0512093 | − | 0.998688i | \(-0.516308\pi\) |
0.965633 | − | 0.259909i | \(-0.0836925\pi\) | |||||||
\(212\) | 8.68591 | + | 8.41720i | 0.596551 | + | 0.578096i | ||||
\(213\) | 1.96000 | − | 12.3749i | 0.134297 | − | 0.847917i | ||||
\(214\) | 14.4224 | + | 19.5263i | 0.985893 | + | 1.33479i | ||||
\(215\) | 1.72512 | − | 3.02463i | 0.117652 | − | 0.206278i | ||||
\(216\) | 0.810406 | − | 2.70984i | 0.0551412 | − | 0.184381i | ||||
\(217\) | 15.0812 | − | 7.68428i | 1.02378 | − | 0.521643i | ||||
\(218\) | 20.8756 | − | 10.8440i | 1.41387 | − | 0.734450i | ||||
\(219\) | −2.62008 | + | 8.06379i | −0.177049 | + | 0.544900i | ||||
\(220\) | 3.50062 | + | 2.71521i | 0.236012 | + | 0.183059i | ||||
\(221\) | −5.07544 | − | 15.6206i | −0.341411 | − | 1.05076i | ||||
\(222\) | −4.24557 | − | 4.17939i | −0.284944 | − | 0.280503i | ||||
\(223\) | −0.0533298 | − | 0.336711i | −0.00357123 | − | 0.0225478i | 0.985838 | − | 0.167698i | \(-0.0536334\pi\) |
−0.989410 | + | 0.145150i | \(0.953633\pi\) | |||||||
\(224\) | −0.557492 | − | 14.1874i | −0.0372490 | − | 0.947935i | ||||
\(225\) | 4.58887 | + | 1.98551i | 0.305925 | + | 0.132367i | ||||
\(226\) | 11.2981 | + | 3.57310i | 0.751538 | + | 0.237679i | ||||
\(227\) | −14.9903 | + | 2.37422i | −0.994939 | + | 0.157583i | −0.632612 | − | 0.774469i | \(-0.718017\pi\) |
−0.362326 | + | 0.932051i | \(0.618017\pi\) | |||||||
\(228\) | 2.75947 | + | 5.21171i | 0.182750 | + | 0.345154i | ||||
\(229\) | 17.8213 | − | 5.79049i | 1.17766 | − | 0.382646i | 0.346166 | − | 0.938173i | \(-0.387484\pi\) |
0.831498 | + | 0.555527i | \(0.187484\pi\) | |||||||
\(230\) | 6.86526 | + | 24.3400i | 0.452682 | + | 1.60493i | ||||
\(231\) | −2.36471 | − | 0.768341i | −0.155587 | − | 0.0505532i | ||||
\(232\) | −0.244222 | + | 1.81829i | −0.0160340 | + | 0.119377i | ||||
\(233\) | 8.78825 | + | 17.2479i | 0.575737 | + | 1.12995i | 0.976851 | + | 0.213920i | \(0.0686232\pi\) |
−0.401114 | + | 0.916028i | \(0.631377\pi\) | |||||||
\(234\) | −2.03308 | − | 6.09389i | −0.132907 | − | 0.398370i | ||||
\(235\) | 4.29462 | − | 20.7406i | 0.280150 | − | 1.35296i | ||||
\(236\) | 13.8308 | − | 4.73536i | 0.900307 | − | 0.308246i | ||||
\(237\) | 8.90885 | + | 1.41102i | 0.578692 | + | 0.0916558i | ||||
\(238\) | 11.4809 | + | 5.73665i | 0.744195 | + | 0.371852i | ||||
\(239\) | −0.648942 | − | 0.471484i | −0.0419765 | − | 0.0304977i | 0.566599 | − | 0.823994i | \(-0.308259\pi\) |
−0.608576 | + | 0.793496i | \(0.708259\pi\) | |||||||
\(240\) | −6.22462 | − | 6.42294i | −0.401797 | − | 0.414599i | ||||
\(241\) | −10.2685 | + | 7.46048i | −0.661451 | + | 0.480572i | −0.867152 | − | 0.498043i | \(-0.834052\pi\) |
0.205702 | + | 0.978615i | \(0.434052\pi\) | |||||||
\(242\) | 13.9762 | − | 2.32630i | 0.898427 | − | 0.149540i | ||||
\(243\) | 0.707107 | + | 0.707107i | 0.0453609 | + | 0.0453609i | ||||
\(244\) | −1.48713 | − | 1.98066i | −0.0952035 | − | 0.126799i | ||||
\(245\) | 1.51023 | − | 0.413193i | 0.0964851 | − | 0.0263979i | ||||
\(246\) | −16.6218 | + | 0.130565i | −1.05976 | + | 0.00832455i | ||||
\(247\) | 11.9341 | + | 6.08074i | 0.759350 | + | 0.386908i | ||||
\(248\) | −13.1657 | + | 13.8013i | −0.836024 | + | 0.876384i | ||||
\(249\) | − | 3.51884i | − | 0.222997i | ||||||
\(250\) | 12.5684 | − | 9.59345i | 0.794898 | − | 0.606743i | ||||
\(251\) | − | 5.05741i | − | 0.319221i | −0.987180 | − | 0.159610i | \(-0.948976\pi\) | ||
0.987180 | − | 0.159610i | \(-0.0510238\pi\) | |||||||
\(252\) | 4.50799 | + | 2.20843i | 0.283977 | + | 0.139118i | ||||
\(253\) | −7.05882 | − | 3.59665i | −0.443784 | − | 0.226119i | ||||
\(254\) | 0.184482 | + | 23.4857i | 0.0115754 | + | 1.47362i | ||||
\(255\) | 7.79839 | − | 2.13361i | 0.488354 | − | 0.133612i | ||||
\(256\) | 5.89011 | + | 14.8764i | 0.368132 | + | 0.929774i | ||||
\(257\) | −5.59294 | − | 5.59294i | −0.348878 | − | 0.348878i | 0.510814 | − | 0.859692i | \(-0.329344\pi\) |
−0.859692 | + | 0.510814i | \(0.829344\pi\) | |||||||
\(258\) | −0.361577 | − | 2.17233i | −0.0225108 | − | 0.135244i | ||||
\(259\) | 8.55406 | − | 6.21489i | 0.531523 | − | 0.386174i | ||||
\(260\) | −19.9550 | − | 3.80606i | −1.23756 | − | 0.236042i | ||||
\(261\) | −0.524758 | − | 0.381259i | −0.0324817 | − | 0.0235993i | ||||
\(262\) | −9.55921 | + | 19.1310i | −0.590570 | + | 1.18192i | ||||
\(263\) | −5.26506 | − | 0.833904i | −0.324658 | − | 0.0514207i | −0.00802154 | − | 0.999968i | \(-0.502553\pi\) |
−0.316636 | + | 0.948547i | \(0.602553\pi\) | |||||||
\(264\) | 2.80113 | − | 0.0660203i | 0.172398 | − | 0.00406327i | ||||
\(265\) | −2.74193 | + | 13.2420i | −0.168436 | + | 0.813447i | ||||
\(266\) | −9.92828 | + | 3.31234i | −0.608742 | + | 0.203092i | ||||
\(267\) | −2.54386 | − | 4.99262i | −0.155682 | − | 0.305543i | ||||
\(268\) | 2.01885 | + | 11.5674i | 0.123321 | + | 0.706590i | ||||
\(269\) | 14.5139 | + | 4.71586i | 0.884929 | + | 0.287531i | 0.716002 | − | 0.698098i | \(-0.245970\pi\) |
0.168926 | + | 0.985629i | \(0.445970\pi\) | |||||||
\(270\) | 3.04353 | − | 0.858449i | 0.185223 | − | 0.0522436i | ||||
\(271\) | 15.8393 | − | 5.14649i | 0.962167 | − | 0.312627i | 0.214517 | − | 0.976720i | \(-0.431182\pi\) |
0.747650 | + | 0.664093i | \(0.231182\pi\) | |||||||
\(272\) | −14.3489 | − | 1.81263i | −0.870027 | − | 0.109907i | ||||
\(273\) | 11.2611 | − | 1.78358i | 0.681550 | − | 0.107947i | ||||
\(274\) | −3.47623 | + | 10.9918i | −0.210007 | + | 0.664037i | ||||
\(275\) | −0.465882 | + | 4.93116i | −0.0280938 | + | 0.297360i | ||||
\(276\) | 13.0860 | + | 9.19693i | 0.787682 | + | 0.553590i | ||||
\(277\) | −2.26929 | − | 14.3277i | −0.136349 | − | 0.860871i | −0.957136 | − | 0.289638i | \(-0.906465\pi\) |
0.820788 | − | 0.571233i | \(-0.193535\pi\) | |||||||
\(278\) | −2.10634 | + | 2.13970i | −0.126330 | + | 0.128330i | ||||
\(279\) | −2.08390 | − | 6.41357i | −0.124760 | − | 0.383970i | ||||
\(280\) | 13.0585 | − | 9.02585i | 0.780397 | − | 0.539398i | ||||
\(281\) | 0.523806 | − | 1.61211i | 0.0312476 | − | 0.0961703i | −0.934216 | − | 0.356707i | \(-0.883899\pi\) |
0.965464 | + | 0.260537i | \(0.0838995\pi\) | |||||||
\(282\) | −6.17510 | − | 11.8875i | −0.367722 | − | 0.707893i | ||||
\(283\) | 1.89544 | − | 0.965777i | 0.112672 | − | 0.0574095i | −0.396746 | − | 0.917928i | \(-0.629861\pi\) |
0.509418 | + | 0.860519i | \(0.329861\pi\) | |||||||
\(284\) | −25.0553 | + | 0.393648i | −1.48676 | + | 0.0233587i | ||||
\(285\) | −3.26653 | + | 5.72717i | −0.193493 | + | 0.339248i | ||||
\(286\) | 5.11893 | − | 3.78091i | 0.302689 | − | 0.223570i | ||||
\(287\) | 4.61499 | − | 29.1379i | 0.272414 | − | 1.71996i | ||||
\(288\) | −5.61765 | − | 0.664865i | −0.331023 | − | 0.0391776i | ||||
\(289\) | −2.30797 | + | 3.17665i | −0.135763 | + | 0.186862i | ||||
\(290\) | −1.86273 | + | 0.858790i | −0.109383 | + | 0.0504299i | ||||
\(291\) | −4.97032 | − | 6.84106i | −0.291365 | − | 0.401030i | ||||
\(292\) | 16.7884 | + | 2.38931i | 0.982465 | + | 0.139824i | ||||
\(293\) | 12.5122 | − | 12.5122i | 0.730972 | − | 0.730972i | −0.239840 | − | 0.970812i | \(-0.577095\pi\) |
0.970812 | + | 0.239840i | \(0.0770951\pi\) | |||||||
\(294\) | 0.575748 | − | 0.805683i | 0.0335783 | − | 0.0469884i | ||||
\(295\) | 12.7560 | + | 10.2190i | 0.742683 | + | 0.594971i | ||||
\(296\) | −6.77443 | + | 9.80184i | −0.393756 | + | 0.569720i | ||||
\(297\) | −0.449734 | + | 0.882653i | −0.0260962 | + | 0.0512167i | ||||
\(298\) | 9.37438 | + | 1.40937i | 0.543043 | + | 0.0816424i | ||||
\(299\) | 36.3278 | 2.10089 | ||||||||
\(300\) | 2.33395 | − | 9.72382i | 0.134750 | − | 0.561405i | ||||
\(301\) | 3.90848 | 0.225281 | ||||||||
\(302\) | −5.13104 | − | 0.771412i | −0.295258 | − | 0.0443898i | ||||
\(303\) | −2.82361 | + | 5.54165i | −0.162212 | + | 0.318360i | ||||
\(304\) | 9.31932 | − | 7.22886i | 0.534500 | − | 0.414604i | ||||
\(305\) | 0.978760 | − | 2.59041i | 0.0560436 | − | 0.148326i | ||||
\(306\) | 2.97300 | − | 4.16031i | 0.169955 | − | 0.237829i | ||||
\(307\) | −18.9220 | + | 18.9220i | −1.07994 | + | 1.07994i | −0.0834227 | + | 0.996514i | \(0.526585\pi\) |
−0.996514 | + | 0.0834227i | \(0.973415\pi\) | |||||||
\(308\) | −0.700666 | + | 4.92320i | −0.0399241 | + | 0.280525i | ||||
\(309\) | −8.91119 | − | 12.2652i | −0.506940 | − | 0.697743i | ||||
\(310\) | −20.9156 | − | 4.15980i | −1.18792 | − | 0.236261i | ||||
\(311\) | 1.35781 | − | 1.86887i | 0.0769945 | − | 0.105974i | −0.768783 | − | 0.639510i | \(-0.779137\pi\) |
0.845777 | + | 0.533536i | \(0.179137\pi\) | |||||||
\(312\) | −11.3072 | + | 6.10107i | −0.640143 | + | 0.345405i | ||||
\(313\) | −1.02291 | + | 6.45842i | −0.0578185 | + | 0.365052i | 0.941767 | + | 0.336266i | \(0.109164\pi\) |
−0.999586 | + | 0.0287858i | \(0.990836\pi\) | |||||||
\(314\) | 20.0027 | − | 14.7743i | 1.12882 | − | 0.833761i | ||||
\(315\) | 0.616012 | + | 5.57848i | 0.0347083 | + | 0.314312i | ||||
\(316\) | −0.283391 | − | 18.0376i | −0.0159420 | − | 1.01469i | ||||
\(317\) | −17.7707 | + | 9.05465i | −0.998105 | + | 0.508560i | −0.875150 | − | 0.483853i | \(-0.839237\pi\) |
−0.122955 | + | 0.992412i | \(0.539237\pi\) | |||||||
\(318\) | 3.94254 | + | 7.58970i | 0.221087 | + | 0.425609i | ||||
\(319\) | 0.198560 | − | 0.611106i | 0.0111172 | − | 0.0342154i | ||||
\(320\) | −10.5142 | + | 14.4725i | −0.587760 | + | 0.809035i | ||||
\(321\) | 5.30431 | + | 16.3250i | 0.296057 | + | 0.911171i | ||||
\(322\) | −19.9144 | + | 20.2297i | −1.10979 | + | 1.12736i | ||||
\(323\) | 1.66779 | + | 10.5300i | 0.0927982 | + | 0.585905i | ||||
\(324\) | 1.15001 | − | 1.63630i | 0.0638893 | − | 0.0909056i | ||||
\(325\) | −8.36212 | − | 21.1172i | −0.463847 | − | 1.17137i | ||||
\(326\) | −3.92585 | + | 12.4135i | −0.217433 | + | 0.687518i | ||||
\(327\) | 16.4293 | − | 2.60214i | 0.908540 | − | 0.143899i | ||||
\(328\) | 5.97283 | + | 32.7036i | 0.329795 | + | 1.80575i | ||||
\(329\) | 22.6110 | − | 7.34677i | 1.24659 | − | 0.405041i | ||||
\(330\) | 1.74046 | + | 2.60464i | 0.0958094 | + | 0.143381i | ||||
\(331\) | −29.5081 | − | 9.58775i | −1.62191 | − | 0.526990i | −0.649518 | − | 0.760346i | \(-0.725029\pi\) |
−0.972392 | + | 0.233355i | \(0.925029\pi\) | |||||||
\(332\) | −6.93288 | + | 1.20999i | −0.380491 | + | 0.0664071i | ||||
\(333\) | −1.91249 | − | 3.75347i | −0.104804 | − | 0.205689i | ||||
\(334\) | 22.8565 | − | 7.62554i | 1.25065 | − | 0.417251i | ||||
\(335\) | −9.70981 | + | 8.83569i | −0.530503 | + | 0.482745i | ||||
\(336\) | 2.80096 | − | 9.64112i | 0.152805 | − | 0.525966i | ||||
\(337\) | −19.6994 | − | 3.12009i | −1.07310 | − | 0.169962i | −0.405209 | − | 0.914224i | \(-0.632801\pi\) |
−0.667888 | + | 0.744262i | \(0.732801\pi\) | |||||||
\(338\) | −4.82589 | + | 9.65815i | −0.262494 | + | 0.525334i | ||||
\(339\) | 6.77872 | + | 4.92503i | 0.368169 | + | 0.267491i | ||||
\(340\) | −6.88525 | − | 14.6309i | −0.373405 | − | 0.793470i | ||||
\(341\) | 5.40456 | − | 3.92664i | 0.292673 | − | 0.212640i | ||||
\(342\) | 0.684651 | + | 4.11334i | 0.0370217 | + | 0.222424i | ||||
\(343\) | 13.6663 | + | 13.6663i | 0.737911 | + | 0.737911i | ||||
\(344\) | −4.15564 | + | 1.45937i | −0.224057 | + | 0.0786839i | ||||
\(345\) | −0.841931 | + | 17.8626i | −0.0453280 | + | 0.961692i | ||||
\(346\) | 0.166377 | + | 21.1808i | 0.00894451 | + | 1.13869i | ||||
\(347\) | 3.24564 | + | 1.65374i | 0.174235 | + | 0.0887772i | 0.538933 | − | 0.842349i | \(-0.318828\pi\) |
−0.364698 | + | 0.931126i | \(0.618828\pi\) | |||||||
\(348\) | −0.570719 | + | 1.16499i | −0.0305937 | + | 0.0624499i | ||||
\(349\) | − | 24.4825i | − | 1.31052i | −0.755405 | − | 0.655258i | \(-0.772560\pi\) | ||
0.755405 | − | 0.655258i | \(-0.227440\pi\) | |||||||
\(350\) | 16.3435 | + | 6.91957i | 0.873595 | + | 0.369867i | ||||
\(351\) | − | 4.54251i | − | 0.242461i | ||||||
\(352\) | −1.09328 | − | 5.49614i | −0.0582719 | − | 0.292945i | ||||
\(353\) | 14.7437 | + | 7.51230i | 0.784729 | + | 0.399839i | 0.799966 | − | 0.600045i | \(-0.204851\pi\) |
−0.0152379 | + | 0.999884i | \(0.504851\pi\) | |||||||
\(354\) | 10.3369 | − | 0.0811969i | 0.549397 | − | 0.00431557i | ||||
\(355\) | −15.3821 | − | 23.4157i | −0.816397 | − | 1.24278i | ||||
\(356\) | −8.96180 | + | 6.72874i | −0.474975 | + | 0.356622i | ||||
\(357\) | 6.41716 | + | 6.41716i | 0.339632 | + | 0.339632i | ||||
\(358\) | −1.28482 | + | 0.213853i | −0.0679046 | + | 0.0113025i | ||||
\(359\) | 6.02704 | − | 4.37890i | 0.318095 | − | 0.231109i | −0.417267 | − | 0.908784i | \(-0.637012\pi\) |
0.735362 | + | 0.677674i | \(0.237012\pi\) | |||||||
\(360\) | −2.73789 | − | 5.70123i | −0.144299 | − | 0.300481i | ||||
\(361\) | 8.33761 | + | 6.05763i | 0.438822 | + | 0.318823i | ||||
\(362\) | 14.5360 | + | 7.26321i | 0.763995 | + | 0.381746i | ||||
\(363\) | 9.89532 | + | 1.56726i | 0.519369 | + | 0.0822600i | ||||
\(364\) | −7.38628 | − | 21.5734i | −0.387146 | − | 1.13075i | ||||
\(365\) | 7.80238 | + | 17.2792i | 0.408395 | + | 0.904434i | ||||
\(366\) | −0.554268 | − | 1.66134i | −0.0289721 | − | 0.0868399i | ||||
\(367\) | −12.3376 | − | 24.2139i | −0.644018 | − | 1.26396i | −0.950098 | − | 0.311951i | \(-0.899018\pi\) |
0.306080 | − | 0.952006i | \(-0.400982\pi\) | |||||||
\(368\) | 13.6202 | − | 28.9447i | 0.710002 | − | 1.50885i | ||||
\(369\) | −11.1785 | − | 3.63210i | −0.581927 | − | 0.189080i | ||||
\(370\) | −13.3112 | − | 0.522651i | −0.692016 | − | 0.0271713i | ||||
\(371\) | −14.4362 | + | 4.69060i | −0.749490 | + | 0.243524i | ||||
\(372\) | −11.9196 | + | 6.31111i | −0.618000 | + | 0.327216i | ||||
\(373\) | 1.04989 | − | 0.166286i | 0.0543613 | − | 0.00860998i | −0.129195 | − | 0.991619i | \(-0.541239\pi\) |
0.183556 | + | 0.983009i | \(0.441239\pi\) | |||||||
\(374\) | 4.82969 | + | 1.52742i | 0.249737 | + | 0.0789813i | ||||
\(375\) | 10.5773 | − | 3.62230i | 0.546209 | − | 0.187055i | ||||
\(376\) | −21.2977 | + | 16.2540i | −1.09834 | + | 0.838235i | ||||
\(377\) | 0.460925 | + | 2.91016i | 0.0237388 | + | 0.149881i | ||||
\(378\) | 2.52957 | + | 2.49014i | 0.130107 | + | 0.128079i | ||||
\(379\) | 5.91385 | + | 18.2010i | 0.303774 | + | 0.934921i | 0.980132 | + | 0.198347i | \(0.0635574\pi\) |
−0.676358 | + | 0.736573i | \(0.736443\pi\) | |||||||
\(380\) | 12.4070 | + | 4.46642i | 0.636466 | + | 0.229123i | ||||
\(381\) | −5.13196 | + | 15.7946i | −0.262919 | + | 0.809180i | ||||
\(382\) | 26.5745 | − | 13.8044i | 1.35967 | − | 0.706293i | ||||
\(383\) | 18.3322 | − | 9.34072i | 0.936731 | − | 0.477289i | 0.0821581 | − | 0.996619i | \(-0.473819\pi\) |
0.854573 | + | 0.519331i | \(0.173819\pi\) | |||||||
\(384\) | 0.621765 | + | 11.2966i | 0.0317293 | + | 0.576478i | ||||
\(385\) | −5.06714 | + | 2.28805i | −0.258245 | + | 0.116610i | ||||
\(386\) | −12.4111 | − | 16.8032i | −0.631707 | − | 0.855261i | ||||
\(387\) | 0.243600 | − | 1.53803i | 0.0123829 | − | 0.0781826i | ||||
\(388\) | −11.7693 | + | 12.1450i | −0.597494 | + | 0.616569i | ||||
\(389\) | −7.78730 | + | 10.7183i | −0.394832 | + | 0.543439i | −0.959438 | − | 0.281921i | \(-0.909028\pi\) |
0.564606 | + | 0.825361i | \(0.309028\pi\) | |||||||
\(390\) | −12.5333 | − | 7.01857i | −0.634649 | − | 0.355399i | ||||
\(391\) | 16.9964 | + | 23.3935i | 0.859543 | + | 1.18306i | ||||
\(392\) | −1.78535 | − | 0.857306i | −0.0901737 | − | 0.0433005i | ||||
\(393\) | −10.6932 | + | 10.6932i | −0.539398 | + | 0.539398i | ||||
\(394\) | 24.7974 | + | 17.7204i | 1.24927 | + | 0.892742i | ||||
\(395\) | 16.8572 | − | 11.0737i | 0.848178 | − | 0.557180i | ||||
\(396\) | 1.89367 | + | 0.582564i | 0.0951603 | + | 0.0292749i | ||||
\(397\) | 5.75681 | − | 11.2984i | 0.288926 | − | 0.567049i | −0.700230 | − | 0.713917i | \(-0.746919\pi\) |
0.989156 | + | 0.146868i | \(0.0469193\pi\) | |||||||
\(398\) | 2.26781 | − | 15.0843i | 0.113675 | − | 0.756109i | ||||
\(399\) | −7.40076 | −0.370501 | ||||||||
\(400\) | −19.9606 | − | 1.25473i | −0.998030 | − | 0.0627366i | ||||
\(401\) | 15.1445 | 0.756281 | 0.378141 | − | 0.925748i | \(-0.376564\pi\) | ||||
0.378141 | + | 0.925748i | \(0.376564\pi\) | |||||||
\(402\) | −1.23442 | + | 8.21073i | −0.0615673 | + | 0.409514i | ||||
\(403\) | −13.9071 | + | 27.2942i | −0.692762 | + | 1.35962i | ||||
\(404\) | 11.8892 | + | 3.65757i | 0.591510 | + | 0.181971i | ||||
\(405\) | 2.23359 | + | 0.105277i | 0.110988 | + | 0.00523126i | ||||
\(406\) | −1.87325 | − | 1.33864i | −0.0929676 | − | 0.0664355i | ||||
\(407\) | 2.95084 | − | 2.95084i | 0.146268 | − | 0.146268i | ||||
\(408\) | −9.21902 | − | 4.42688i | −0.456409 | − | 0.219163i | ||||
\(409\) | −15.2785 | − | 21.0290i | −0.755471 | − | 1.03982i | −0.997577 | − | 0.0695670i | \(-0.977838\pi\) |
0.242106 | − | 0.970250i | \(-0.422162\pi\) | |||||||
\(410\) | −27.2930 | + | 25.2307i | −1.34791 | + | 1.24606i | ||||
\(411\) | −4.79150 | + | 6.59493i | −0.236347 | + | 0.325304i | ||||
\(412\) | −21.1009 | + | 21.7745i | −1.03957 | + | 1.07275i | ||||
\(413\) | −2.87000 | + | 18.1205i | −0.141223 | + | 0.891650i | ||||
\(414\) | 6.71944 | + | 9.09737i | 0.330242 | + | 0.447111i | ||||
\(415\) | −5.29565 | − | 5.81955i | −0.259953 | − | 0.285671i | ||||
\(416\) | 15.9085 | + | 20.1797i | 0.779981 | + | 0.989391i | ||||
\(417\) | −1.89168 | + | 0.963860i | −0.0926361 | + | 0.0472004i | ||||
\(418\) | −3.66575 | + | 1.90421i | −0.179298 | + | 0.0931380i | ||||
\(419\) | 7.45434 | − | 22.9421i | 0.364168 | − | 1.12079i | −0.586332 | − | 0.810071i | \(-0.699429\pi\) |
0.950500 | − | 0.310724i | \(-0.100571\pi\) | |||||||
\(420\) | 10.7790 | − | 3.13190i | 0.525961 | − | 0.152821i | ||||
\(421\) | −5.40899 | − | 16.6472i | −0.263618 | − | 0.811334i | −0.992009 | − | 0.126171i | \(-0.959731\pi\) |
0.728390 | − | 0.685162i | \(-0.240269\pi\) | |||||||
\(422\) | −22.7748 | − | 22.4198i | −1.10866 | − | 1.09138i | ||||
\(423\) | −1.48178 | − | 9.35560i | −0.0720466 | − | 0.454885i | ||||
\(424\) | 13.5977 | − | 10.3775i | 0.660361 | − | 0.503975i | ||||
\(425\) | 9.68624 | − | 15.2648i | 0.469851 | − | 0.740450i | ||||
\(426\) | −16.8942 | − | 5.34293i | −0.818528 | − | 0.258866i | ||||
\(427\) | 3.07004 | − | 0.486247i | 0.148570 | − | 0.0235311i | ||||
\(428\) | 30.3398 | − | 16.0642i | 1.46653 | − | 0.776491i | ||||
\(429\) | 4.27968 | − | 1.39055i | 0.206625 | − | 0.0671366i | ||||
\(430\) | −3.86722 | − | 3.04851i | −0.186494 | − | 0.147012i | ||||
\(431\) | −34.6020 | − | 11.2429i | −1.66672 | − | 0.541550i | −0.684455 | − | 0.729055i | \(-0.739960\pi\) |
−0.982264 | + | 0.187505i | \(0.939960\pi\) | |||||||
\(432\) | −3.61931 | − | 1.70310i | −0.174134 | − | 0.0819406i | ||||
\(433\) | −16.2768 | − | 31.9450i | −0.782213 | − | 1.53518i | −0.843542 | − | 0.537062i | \(-0.819534\pi\) |
0.0613291 | − | 0.998118i | \(-0.480466\pi\) | |||||||
\(434\) | −7.57556 | − | 22.7067i | −0.363638 | − | 1.08996i | ||||
\(435\) | −1.44163 | + | 0.159194i | −0.0691209 | + | 0.00763278i | ||||
\(436\) | −10.7762 | − | 31.4744i | −0.516085 | − | 1.50735i | ||||
\(437\) | −23.2903 | − | 3.68883i | −1.11413 | − | 0.176460i | ||||
\(438\) | 10.7263 | + | 5.35962i | 0.512523 | + | 0.256092i | ||||
\(439\) | −13.0760 | − | 9.50025i | −0.624082 | − | 0.453422i | 0.230263 | − | 0.973128i | \(-0.426041\pi\) |
−0.854345 | + | 0.519706i | \(0.826041\pi\) | |||||||
\(440\) | 4.53323 | − | 4.32473i | 0.216113 | − | 0.206173i | ||||
\(441\) | 0.566488 | − | 0.411578i | 0.0269756 | − | 0.0195989i | ||||
\(442\) | −22.9125 | + | 3.81371i | −1.08984 | + | 0.181399i | ||||
\(443\) | −3.16889 | − | 3.16889i | −0.150559 | − | 0.150559i | 0.627809 | − | 0.778367i | \(-0.283952\pi\) |
−0.778367 | + | 0.627809i | \(0.783952\pi\) | |||||||
\(444\) | −6.73752 | + | 5.05869i | −0.319748 | + | 0.240075i | ||||
\(445\) | −11.7207 | − | 4.42855i | −0.555615 | − | 0.209934i | ||||
\(446\) | −0.482102 | + | 0.00378696i | −0.0228282 | + | 0.000179318i | ||||
\(447\) | 5.97258 | + | 3.04318i | 0.282493 | + | 0.143938i | ||||
\(448\) | −19.9582 | − | 2.20330i | −0.942938 | − | 0.104096i | ||||
\(449\) | 32.0207i | 1.51115i | 0.655062 | + | 0.755575i | \(0.272642\pi\) | ||||
−0.655062 | + | 0.755575i | \(0.727358\pi\) | |||||||
\(450\) | 3.74155 | − | 6.00006i | 0.176379 | − | 0.282846i | ||||
\(451\) | − | 11.6435i | − | 0.548272i | ||||||
\(452\) | 7.37243 | − | 15.0491i | 0.346770 | − | 0.707849i | ||||
\(453\) | −3.26907 | − | 1.66567i | −0.153594 | − | 0.0782602i | ||||
\(454\) | 0.168594 | + | 21.4630i | 0.00791251 | + | 1.00731i | ||||
\(455\) | 15.9397 | − | 19.8970i | 0.747263 | − | 0.932784i | ||||
\(456\) | 7.86874 | − | 2.76333i | 0.368488 | − | 0.129405i | ||||
\(457\) | 16.1908 | + | 16.1908i | 0.757374 | + | 0.757374i | 0.975844 | − | 0.218469i | \(-0.0701064\pi\) |
−0.218469 | + | 0.975844i | \(0.570106\pi\) | |||||||
\(458\) | −4.35100 | − | 26.1405i | −0.203309 | − | 1.22146i | ||||
\(459\) | 2.92518 | − | 2.12527i | 0.136536 | − | 0.0991990i | ||||
\(460\) | 35.4828 | − | 4.48349i | 1.65439 | − | 0.209044i | ||||
\(461\) | −9.97154 | − | 7.24475i | −0.464421 | − | 0.337421i | 0.330842 | − | 0.943686i | \(-0.392667\pi\) |
−0.795263 | + | 0.606265i | \(0.792667\pi\) | |||||||
\(462\) | −1.57171 | + | 3.14550i | −0.0731226 | + | 0.146342i | ||||
\(463\) | −32.1267 | − | 5.08837i | −1.49306 | − | 0.236477i | −0.644100 | − | 0.764941i | \(-0.722768\pi\) |
−0.848955 | + | 0.528464i | \(0.822768\pi\) | |||||||
\(464\) | 2.49153 | + | 0.723845i | 0.115666 | + | 0.0336037i | ||||
\(465\) | −13.0985 | − | 7.47080i | −0.607427 | − | 0.346450i | ||||
\(466\) | 25.9689 | − | 8.66391i | 1.20299 | − | 0.401348i | ||||
\(467\) | 0.752525 | + | 1.47691i | 0.0348227 | + | 0.0683434i | 0.907762 | − | 0.419485i | \(-0.137789\pi\) |
−0.872940 | + | 0.487828i | \(0.837789\pi\) | |||||||
\(468\) | −8.94974 | + | 1.56200i | −0.413702 | + | 0.0722034i | ||||
\(469\) | −14.0149 | − | 4.55371i | −0.647147 | − | 0.210271i | ||||
\(470\) | −28.1026 | − | 10.3668i | −1.29628 | − | 0.478184i | ||||
\(471\) | 16.7233 | − | 5.43373i | 0.770570 | − | 0.250373i | ||||
\(472\) | −3.71443 | − | 20.3379i | −0.170970 | − | 0.936129i | ||||
\(473\) | 1.52361 | − | 0.241317i | 0.0700558 | − | 0.0110957i | ||||
\(474\) | 3.84643 | − | 12.1623i | 0.176672 | − | 0.558634i | ||||
\(475\) | 3.21679 | + | 14.3877i | 0.147596 | + | 0.660153i | ||||
\(476\) | 10.4366 | − | 14.8498i | 0.478360 | − | 0.680640i | ||||
\(477\) | 0.946054 | + | 5.97315i | 0.0433168 | + | 0.273492i | ||||
\(478\) | −0.795811 | + | 0.808412i | −0.0363995 | + | 0.0369759i | ||||
\(479\) | −0.416357 | − | 1.28141i | −0.0190238 | − | 0.0585493i | 0.941094 | − | 0.338145i | \(-0.109800\pi\) |
−0.960118 | + | 0.279596i | \(0.909800\pi\) | |||||||
\(480\) | −10.2912 | + | 7.35467i | −0.469727 | + | 0.335693i | ||||
\(481\) | −5.91331 | + | 18.1993i | −0.269624 | + | 0.829816i | ||||
\(482\) | 8.27448 | + | 15.9290i | 0.376892 | + | 0.725547i | ||||
\(483\) | −17.8849 | + | 9.11280i | −0.813790 | + | 0.414647i | ||||
\(484\) | −0.314771 | − | 20.0349i | −0.0143078 | − | 0.910675i | ||||
\(485\) | −18.5155 | − | 3.83388i | −0.840744 | − | 0.174088i | ||||
\(486\) | 1.13756 | − | 0.840215i | 0.0516007 | − | 0.0381129i | ||||
\(487\) | 5.18153 | − | 32.7149i | 0.234798 | − | 1.48245i | −0.535373 | − | 0.844616i | \(-0.679829\pi\) |
0.770171 | − | 0.637838i | \(-0.220171\pi\) | |||||||
\(488\) | −3.08262 | + | 1.66330i | −0.139544 | + | 0.0752941i | ||||
\(489\) | −5.41124 | + | 7.44793i | −0.244705 | + | 0.336807i | ||||
\(490\) | −0.260318 | − | 2.19893i | −0.0117600 | − | 0.0993374i | ||||
\(491\) | −1.80230 | − | 2.48065i | −0.0813366 | − | 0.111950i | 0.766410 | − | 0.642352i | \(-0.222041\pi\) |
−0.847747 | + | 0.530402i | \(0.822041\pi\) | |||||||
\(492\) | −3.31218 | + | 23.2729i | −0.149325 | + | 1.04922i | ||||
\(493\) | −1.65837 | + | 1.65837i | −0.0746892 | + | 0.0746892i | ||||
\(494\) | 11.0131 | − | 15.4113i | 0.495502 | − | 0.693389i | ||||
\(495\) | 0.584560 | + | 2.13658i | 0.0262740 | + | 0.0960321i | ||||
\(496\) | 16.5329 | + | 21.3140i | 0.742351 | + | 0.957026i | ||||
\(497\) | 14.2769 | − | 28.0199i | 0.640405 | − | 1.25687i | ||||
\(498\) | −4.92109 | − | 0.739847i | −0.220519 | − | 0.0331533i | ||||
\(499\) | −38.2306 | −1.71144 | −0.855718 | − | 0.517443i | \(-0.826884\pi\) | ||||
−0.855718 | + | 0.517443i | \(0.826884\pi\) | |||||||
\(500\) | −10.7739 | − | 19.5940i | −0.481821 | − | 0.876269i | ||||
\(501\) | 17.0378 | 0.761191 | ||||||||
\(502\) | −7.07277 | − | 1.06334i | −0.315673 | − | 0.0474590i | ||||
\(503\) | −14.4347 | + | 28.3298i | −0.643613 | + | 1.26316i | 0.306682 | + | 0.951812i | \(0.400781\pi\) |
−0.950295 | + | 0.311350i | \(0.899219\pi\) | |||||||
\(504\) | 4.03630 | − | 5.84008i | 0.179791 | − | 0.260138i | ||||
\(505\) | 3.67010 | + | 13.4143i | 0.163317 | + | 0.596929i | ||||
\(506\) | −6.51404 | + | 9.11554i | −0.289585 | + | 0.405235i | ||||
\(507\) | −5.39836 | + | 5.39836i | −0.239750 | + | 0.239750i | ||||
\(508\) | 32.8834 | + | 4.67994i | 1.45897 | + | 0.207639i | ||||
\(509\) | 0.131687 | + | 0.181251i | 0.00583691 | + | 0.00803381i | 0.811925 | − | 0.583761i | \(-0.198420\pi\) |
−0.806089 | + | 0.591795i | \(0.798420\pi\) | |||||||
\(510\) | −1.34421 | − | 11.3546i | −0.0595226 | − | 0.502791i | ||||
\(511\) | −12.5088 | + | 17.2168i | −0.553355 | + | 0.761628i | ||||
\(512\) | 22.0430 | − | 5.10949i | 0.974171 | − | 0.225810i | ||||
\(513\) | −0.461260 | + | 2.91228i | −0.0203651 | + | 0.128580i | ||||
\(514\) | −8.99764 | + | 6.64577i | −0.396869 | + | 0.293133i | ||||
\(515\) | −33.1960 | − | 6.87369i | −1.46279 | − | 0.302891i | ||||
\(516\) | −3.11402 | + | 0.0489249i | −0.137087 | + | 0.00215380i | ||||
\(517\) | 8.36068 | − | 4.25998i | 0.367702 | − | 0.187354i | ||||
\(518\) | −6.89298 | − | 13.2695i | −0.302860 | − | 0.583029i | ||||
\(519\) | −4.62833 | + | 14.2445i | −0.203161 | + | 0.625265i | ||||
\(520\) | −9.51837 | + | 27.1068i | −0.417408 | + | 1.18871i | ||||
\(521\) | −2.36876 | − | 7.29029i | −0.103777 | − | 0.319393i | 0.885664 | − | 0.464326i | \(-0.153703\pi\) |
−0.989441 | + | 0.144933i | \(0.953703\pi\) | |||||||
\(522\) | −0.643521 | + | 0.653711i | −0.0281662 | + | 0.0286122i | ||||
\(523\) | 2.40963 | + | 15.2138i | 0.105366 | + | 0.665253i | 0.982676 | + | 0.185330i | \(0.0593353\pi\) |
−0.877311 | + | 0.479923i | \(0.840665\pi\) | |||||||
\(524\) | 24.7448 | + | 17.3909i | 1.08098 | + | 0.759724i | ||||
\(525\) | 9.41407 | + | 8.29878i | 0.410864 | + | 0.362189i | ||||
\(526\) | −2.27321 | + | 7.18784i | −0.0991166 | + | 0.313405i | ||||
\(527\) | −24.0829 | + | 3.81435i | −1.04907 | + | 0.166156i | ||||
\(528\) | 0.496618 | − | 3.93125i | 0.0216125 | − | 0.171086i | ||||
\(529\) | −38.9519 | + | 12.6563i | −1.69356 | + | 0.550272i | ||||
\(530\) | 17.9423 | + | 6.61875i | 0.779366 | + | 0.287500i | ||||
\(531\) | 6.95173 | + | 2.25875i | 0.301679 | + | 0.0980216i | ||||
\(532\) | 2.54484 | + | 14.5811i | 0.110333 | + | 0.632171i | ||||
\(533\) | 24.2392 | + | 47.5721i | 1.04992 | + | 2.06058i | ||||
\(534\) | −7.51701 | + | 2.50787i | −0.325293 | + | 0.108526i | ||||
\(535\) | 33.3406 | + | 19.0160i | 1.44144 | + | 0.822134i | ||||
\(536\) | 16.6014 | − | 0.391281i | 0.717071 | − | 0.0169008i | ||||
\(537\) | −0.909662 | − | 0.144076i | −0.0392548 | − | 0.00621735i | ||||
\(538\) | 9.64671 | − | 19.3061i | 0.415899 | − | 0.832347i | ||||
\(539\) | 0.561177 | + | 0.407719i | 0.0241716 | + | 0.0175617i | ||||
\(540\) | −0.560627 | − | 4.43686i | −0.0241256 | − | 0.190932i | ||||
\(541\) | −0.252310 | + | 0.183314i | −0.0108476 | + | 0.00788127i | −0.593196 | − | 0.805058i | \(-0.702134\pi\) |
0.582348 | + | 0.812939i | \(0.302134\pi\) | |||||||
\(542\) | −3.86709 | − | 23.2332i | −0.166106 | − | 0.997953i | ||||
\(543\) | 8.12480 | + | 8.12480i | 0.348668 | + | 0.348668i | ||||
\(544\) | −5.55184 | + | 19.6857i | −0.238033 | + | 0.844018i | ||||
\(545\) | 23.2551 | − | 29.0286i | 0.996138 | − | 1.24345i | ||||
\(546\) | −0.126652 | − | 16.1235i | −0.00542020 | − | 0.690024i | ||||
\(547\) | 34.1386 | + | 17.3945i | 1.45966 | + | 0.743735i | 0.990258 | − | 0.139248i | \(-0.0444684\pi\) |
0.469405 | + | 0.882983i | \(0.344468\pi\) | |||||||
\(548\) | 14.6411 | + | 7.17255i | 0.625436 | + | 0.306396i | ||||
\(549\) | − | 1.23840i | − | 0.0528537i | ||||||
\(550\) | 6.79826 | + | 1.68833i | 0.289879 | + | 0.0719905i | ||||
\(551\) | − | 1.91256i | − | 0.0814777i | ||||||
\(552\) | 15.6132 | − | 16.3670i | 0.664544 | − | 0.696626i | ||||
\(553\) | 20.1718 | + | 10.2781i | 0.857794 | + | 0.437068i | ||||
\(554\) | −20.5144 | + | 0.161143i | −0.871575 | + | 0.00684630i | ||||
\(555\) | −8.81168 | − | 3.32940i | −0.374035 | − | 0.141325i | ||||
\(556\) | 2.54949 | + | 3.39559i | 0.108123 | + | 0.144005i | ||||
\(557\) | 10.7978 | + | 10.7978i | 0.457518 | + | 0.457518i | 0.897840 | − | 0.440322i | \(-0.145136\pi\) |
−0.440322 | + | 0.897840i | \(0.645136\pi\) | |||||||
\(558\) | −9.40750 | + | 1.56585i | −0.398251 | + | 0.0662876i | ||||
\(559\) | −5.72268 | + | 4.15777i | −0.242044 | + | 0.175855i | ||||
\(560\) | −9.87702 | − | 20.1600i | −0.417380 | − | 0.851917i | ||||
\(561\) | 2.89776 | + | 2.10534i | 0.122343 | + | 0.0888876i | ||||
\(562\) | −2.14440 | − | 1.07149i | −0.0904559 | − | 0.0451982i | ||||
\(563\) | 19.0254 | + | 3.01333i | 0.801826 | + | 0.126997i | 0.543881 | − | 0.839163i | \(-0.316954\pi\) |
0.257946 | + | 0.966159i | \(0.416954\pi\) | |||||||
\(564\) | −17.9230 | + | 6.13646i | −0.754696 | + | 0.258392i | ||||
\(565\) | 18.6227 | − | 2.05644i | 0.783464 | − | 0.0865151i | ||||
\(566\) | −0.952112 | − | 2.85383i | −0.0400203 | − | 0.119955i | ||||
\(567\) | 1.13949 | + | 2.23637i | 0.0478540 | + | 0.0939187i | ||||
\(568\) | −4.71745 | + | 35.1225i | −0.197940 | + | 1.47371i | ||||
\(569\) | 15.7909 | + | 5.13076i | 0.661987 | + | 0.215093i | 0.620692 | − | 0.784054i | \(-0.286852\pi\) |
0.0412948 | + | 0.999147i | \(0.486852\pi\) | |||||||
\(570\) | 7.32263 | + | 5.77239i | 0.306711 | + | 0.241779i | ||||
\(571\) | −18.7027 | + | 6.07687i | −0.782683 | + | 0.254309i | −0.672985 | − | 0.739656i | \(-0.734988\pi\) |
−0.109698 | + | 0.993965i | \(0.534988\pi\) | |||||||
\(572\) | −4.21131 | − | 7.95375i | −0.176084 | − | 0.332563i | ||||
\(573\) | 20.9143 | − | 3.31250i | 0.873708 | − | 0.138382i | ||||
\(574\) | −39.7789 | − | 12.5804i | −1.66034 | − | 0.525095i | ||||
\(575\) | 25.4898 | + | 30.8088i | 1.06300 | + | 1.28481i | ||||
\(576\) | −2.11094 | + | 7.71647i | −0.0879559 | + | 0.321520i | ||||
\(577\) | 1.60647 | + | 10.1429i | 0.0668783 | + | 0.422253i | 0.998299 | + | 0.0583078i | \(0.0185705\pi\) |
−0.931420 | + | 0.363945i | \(0.881430\pi\) | |||||||
\(578\) | 3.95728 | + | 3.89559i | 0.164601 | + | 0.162035i | ||||
\(579\) | −4.56458 | − | 14.0483i | −0.189698 | − | 0.583829i | ||||
\(580\) | 0.809370 | + | 2.78559i | 0.0336072 | + | 0.115665i | ||||
\(581\) | 2.72926 | − | 8.39979i | 0.113229 | − | 0.348482i | ||||
\(582\) | −10.6122 | + | 5.51262i | −0.439891 | + | 0.228506i | ||||
\(583\) | −5.33794 | + | 2.71982i | −0.221075 | + | 0.112643i | ||||
\(584\) | 6.87125 | − | 22.9761i | 0.284334 | − | 0.950759i | ||||
\(585\) | −6.83623 | − | 7.51253i | −0.282643 | − | 0.310605i | ||||
\(586\) | −14.8676 | − | 20.1290i | −0.614174 | − | 0.831523i | ||||
\(587\) | 0.441412 | − | 2.78696i | 0.0182190 | − | 0.115030i | −0.976903 | − | 0.213684i | \(-0.931454\pi\) |
0.995122 | + | 0.0986539i | \(0.0314537\pi\) | |||||||
\(588\) | −1.00569 | − | 0.974579i | −0.0414740 | − | 0.0401910i | ||||
\(589\) | 11.6876 | − | 16.0866i | 0.481579 | − | 0.662837i | ||||
\(590\) | 16.9732 | − | 15.6907i | 0.698775 | − | 0.645974i | ||||
\(591\) | 12.6676 | + | 17.4354i | 0.521075 | + | 0.717198i | ||||
\(592\) | 12.2835 | + | 11.5349i | 0.504849 | + | 0.474081i | ||||
\(593\) | −25.1359 | + | 25.1359i | −1.03221 | + | 1.03221i | −0.0327451 | + | 0.999464i | \(0.510425\pi\) |
−0.999464 | + | 0.0327451i | \(0.989575\pi\) | |||||||
\(594\) | 1.13983 | + | 0.814532i | 0.0467678 | + | 0.0334207i | ||||
\(595\) | 20.2703 | + | 0.955414i | 0.831003 | + | 0.0391682i | ||||
\(596\) | 3.94199 | − | 12.8137i | 0.161470 | − | 0.524870i | ||||
\(597\) | 4.89679 | − | 9.61048i | 0.200412 | − | 0.393331i | ||||
\(598\) | 7.63803 | − | 50.8043i | 0.312342 | − | 2.07754i | ||||
\(599\) | −37.4833 | −1.53153 | −0.765763 | − | 0.643123i | \(-0.777638\pi\) | ||||
−0.765763 | + | 0.643123i | \(0.777638\pi\) | |||||||
\(600\) | −13.1080 | − | 5.30848i | −0.535132 | − | 0.216718i | ||||
\(601\) | 6.04452 | 0.246561 | 0.123280 | − | 0.992372i | \(-0.460659\pi\) | ||||
0.123280 | + | 0.992372i | \(0.460659\pi\) | |||||||
\(602\) | 0.821771 | − | 5.46600i | 0.0334929 | − | 0.222778i | ||||
\(603\) | −2.66543 | + | 5.23120i | −0.108545 | + | 0.213031i | ||||
\(604\) | −2.15763 | + | 7.01355i | −0.0877929 | + | 0.285377i | ||||
\(605\) | 18.7238 | − | 12.2999i | 0.761230 | − | 0.500062i | ||||
\(606\) | 7.15631 | + | 5.11396i | 0.290705 | + | 0.207741i | ||||
\(607\) | 15.4953 | − | 15.4953i | 0.628933 | − | 0.628933i | −0.318866 | − | 0.947800i | \(-0.603302\pi\) |
0.947800 | + | 0.318866i | \(0.103302\pi\) | |||||||
\(608\) | −8.15013 | − | 14.5529i | −0.330531 | − | 0.590200i | ||||
\(609\) | −0.956935 | − | 1.31711i | −0.0387770 | − | 0.0533719i | ||||
\(610\) | −3.41689 | − | 1.91343i | −0.138346 | − | 0.0774727i | ||||
\(611\) | −25.2910 | + | 34.8101i | −1.02317 | + | 1.40827i | ||||
\(612\) | −5.19310 | − | 5.03244i | −0.209919 | − | 0.203425i | ||||
\(613\) | −1.58245 | + | 9.99119i | −0.0639145 | + | 0.403540i | 0.934902 | + | 0.354906i | \(0.115487\pi\) |
−0.998817 | + | 0.0486348i | \(0.984513\pi\) | |||||||
\(614\) | 22.4840 | + | 30.4408i | 0.907379 | + | 1.22849i | ||||
\(615\) | −23.9533 | + | 10.8161i | −0.965892 | + | 0.436146i | ||||
\(616\) | 6.73776 | + | 2.01500i | 0.271472 | + | 0.0811866i | ||||
\(617\) | 4.47285 | − | 2.27903i | 0.180070 | − | 0.0917504i | −0.361632 | − | 0.932321i | \(-0.617780\pi\) |
0.541702 | + | 0.840571i | \(0.317780\pi\) | |||||||
\(618\) | −19.0264 | + | 9.88347i | −0.765356 | + | 0.397571i | ||||
\(619\) | 6.25004 | − | 19.2356i | 0.251210 | − | 0.773146i | −0.743342 | − | 0.668911i | \(-0.766761\pi\) |
0.994553 | − | 0.104235i | \(-0.0332393\pi\) | |||||||
\(620\) | −10.2150 | + | 28.3758i | −0.410246 | + | 1.13960i | ||||
\(621\) | 2.47130 | + | 7.60587i | 0.0991697 | + | 0.305213i | ||||
\(622\) | −2.32812 | − | 2.29183i | −0.0933492 | − | 0.0918941i | ||||
\(623\) | −2.20010 | − | 13.8909i | −0.0881452 | − | 0.556527i | ||||
\(624\) | 6.15495 | + | 17.0958i | 0.246395 | + | 0.684381i | ||||
\(625\) | 12.0416 | − | 21.9089i | 0.481666 | − | 0.876355i | ||||
\(626\) | 8.81702 | + | 2.78845i | 0.352399 | + | 0.111449i | ||||
\(627\) | −2.88498 | + | 0.456936i | −0.115215 | + | 0.0182482i | ||||
\(628\) | −16.4562 | − | 31.0801i | −0.656672 | − | 1.24023i | ||||
\(629\) | −14.4862 | + | 4.70684i | −0.577601 | + | 0.187674i | ||||
\(630\) | 7.93101 | + | 0.311403i | 0.315979 | + | 0.0124066i | ||||
\(631\) | −29.5030 | − | 9.58611i | −1.17450 | − | 0.381617i | −0.344177 | − | 0.938905i | \(-0.611842\pi\) |
−0.830319 | + | 0.557288i | \(0.811842\pi\) | |||||||
\(632\) | −25.2851 | − | 3.39614i | −1.00579 | − | 0.135091i | ||||
\(633\) | −10.2593 | − | 20.1350i | −0.407770 | − | 0.800293i | ||||
\(634\) | 8.92654 | + | 26.7561i | 0.354518 | + | 1.06262i | ||||
\(635\) | 15.2825 | + | 33.8448i | 0.606469 | + | 1.34309i | ||||
\(636\) | 11.4431 | − | 3.91787i | 0.453748 | − | 0.155354i | ||||
\(637\) | −3.14159 | − | 0.497579i | −0.124474 | − | 0.0197148i | ||||
\(638\) | −0.812882 | − | 0.406173i | −0.0321823 | − | 0.0160805i | ||||
\(639\) | −10.1363 | − | 7.36448i | −0.400987 | − | 0.291334i | ||||
\(640\) | 18.0291 | + | 17.7469i | 0.712661 | + | 0.701509i | ||||
\(641\) | 7.01361 | − | 5.09569i | 0.277021 | − | 0.201267i | −0.440596 | − | 0.897705i | \(-0.645233\pi\) |
0.717617 | + | 0.696438i | \(0.245233\pi\) | |||||||
\(642\) | 23.9457 | − | 3.98568i | 0.945060 | − | 0.157302i | ||||
\(643\) | 19.1482 | + | 19.1482i | 0.755130 | + | 0.755130i | 0.975432 | − | 0.220302i | \(-0.0707043\pi\) |
−0.220302 | + | 0.975432i | \(0.570704\pi\) | |||||||
\(644\) | 24.1041 | + | 32.1036i | 0.949836 | + | 1.26506i | ||||
\(645\) | −1.91178 | − | 2.91024i | −0.0752762 | − | 0.114591i | ||||
\(646\) | 15.0768 | − | 0.118430i | 0.593190 | − | 0.00465956i | ||||
\(647\) | 40.2378 | + | 20.5022i | 1.58191 | + | 0.806023i | 0.999974 | − | 0.00721134i | \(-0.00229546\pi\) |
0.581936 | + | 0.813235i | \(0.302295\pi\) | |||||||
\(648\) | −2.04657 | − | 1.95232i | −0.0803969 | − | 0.0766944i | ||||
\(649\) | 7.24095i | 0.284232i | ||||||||
\(650\) | −31.2905 | + | 7.25443i | −1.22731 | + | 0.284542i | ||||
\(651\) | − | 16.9261i | − | 0.663385i | ||||||
\(652\) | 16.5348 | + | 8.10026i | 0.647552 | + | 0.317231i | ||||
\(653\) | −15.4764 | − | 7.88563i | −0.605639 | − | 0.308588i | 0.124147 | − | 0.992264i | \(-0.460380\pi\) |
−0.729786 | + | 0.683675i | \(0.760380\pi\) | |||||||
\(654\) | −0.184778 | − | 23.5234i | −0.00722540 | − | 0.919836i | ||||
\(655\) | −1.59204 | + | 33.7772i | −0.0622063 | + | 1.31979i | ||||
\(656\) | 46.9917 | − | 1.47695i | 1.83472 | − | 0.0576653i | ||||
\(657\) | 5.99540 | + | 5.99540i | 0.233903 | + | 0.233903i | ||||
\(658\) | −5.52039 | − | 33.1662i | −0.215207 | − | 1.29295i | ||||
\(659\) | −6.41486 | + | 4.66067i | −0.249888 | + | 0.181554i | −0.705677 | − | 0.708534i | \(-0.749357\pi\) |
0.455789 | + | 0.890088i | \(0.349357\pi\) | |||||||
\(660\) | 4.00852 | − | 1.88640i | 0.156031 | − | 0.0734280i | ||||
\(661\) | 37.5286 | + | 27.2661i | 1.45969 | + | 1.06053i | 0.983443 | + | 0.181217i | \(0.0580037\pi\) |
0.476248 | + | 0.879311i | \(0.341996\pi\) | |||||||
\(662\) | −19.6126 | + | 39.2511i | −0.762266 | + | 1.52554i | ||||
\(663\) | −16.2223 | − | 2.56935i | −0.630020 | − | 0.0997854i | ||||
\(664\) | 0.234513 | + | 9.95002i | 0.00910089 | + | 0.386136i | ||||
\(665\) | −12.2396 | + | 11.1377i | −0.474630 | + | 0.431902i | ||||
\(666\) | −5.65132 | + | 1.88543i | −0.218984 | + | 0.0730589i | ||||
\(667\) | −2.35500 | − | 4.62194i | −0.0911858 | − | 0.178962i | ||||
\(668\) | −5.85863 | − | 33.5681i | −0.226677 | − | 1.29879i | ||||
\(669\) | −0.324223 | − | 0.105346i | −0.0125352 | − | 0.00407293i | ||||
\(670\) | 10.3152 | + | 15.4369i | 0.398510 | + | 0.596378i | ||||
\(671\) | 1.16675 | − | 0.379099i | 0.0450418 | − | 0.0146350i | ||||
\(672\) | −12.8942 | − | 5.94421i | −0.497403 | − | 0.229303i | ||||
\(673\) | 21.4521 | − | 3.39769i | 0.826919 | − | 0.130971i | 0.271391 | − | 0.962469i | \(-0.412516\pi\) |
0.555528 | + | 0.831498i | \(0.312516\pi\) | |||||||
\(674\) | −8.50530 | + | 26.8936i | −0.327612 | + | 1.03590i | ||||
\(675\) | 3.85241 | − | 3.18731i | 0.148279 | − | 0.122680i | ||||
\(676\) | 12.4922 | + | 8.77965i | 0.480471 | + | 0.337679i | ||||
\(677\) | 0.733481 | + | 4.63102i | 0.0281900 | + | 0.177984i | 0.997766 | − | 0.0668060i | \(-0.0212808\pi\) |
−0.969576 | + | 0.244790i | \(0.921281\pi\) | |||||||
\(678\) | 8.31288 | − | 8.44451i | 0.319254 | − | 0.324310i | ||||
\(679\) | −6.55860 | − | 20.1853i | −0.251696 | − | 0.774640i | ||||
\(680\) | −21.9089 | + | 6.55281i | −0.840167 | + | 0.251289i | ||||
\(681\) | −4.68999 | + | 14.4343i | −0.179721 | + | 0.553123i | ||||
\(682\) | −4.35507 | − | 8.38385i | −0.166764 | − | 0.321034i | ||||
\(683\) | 26.7626 | − | 13.6362i | 1.02404 | − | 0.521775i | 0.140476 | − | 0.990084i | \(-0.455137\pi\) |
0.883565 | + | 0.468309i | \(0.155137\pi\) | |||||||
\(684\) | 5.89644 | − | 0.0926398i | 0.225456 | − | 0.00354217i | ||||
\(685\) | 2.00069 | + | 18.1178i | 0.0764423 | + | 0.692246i | ||||
\(686\) | 21.9857 | − | 16.2389i | 0.839416 | − | 0.620004i | ||||
\(687\) | 2.93133 | − | 18.5077i | 0.111837 | − | 0.706113i | ||||
\(688\) | 1.16719 | + | 6.11848i | 0.0444986 | + | 0.233265i | ||||
\(689\) | 16.1472 | − | 22.2248i | 0.615161 | − | 0.846697i | ||||
\(690\) | 24.8038 | + | 4.93311i | 0.944265 | + | 0.187800i | ||||
\(691\) | 3.45831 | + | 4.75996i | 0.131560 | + | 0.181077i | 0.869715 | − | 0.493554i | \(-0.164303\pi\) |
−0.738155 | + | 0.674632i | \(0.764303\pi\) | |||||||
\(692\) | 29.6563 | + | 4.22066i | 1.12736 | + | 0.160445i | ||||
\(693\) | −1.75815 | + | 1.75815i | −0.0667867 | + | 0.0667867i | ||||
\(694\) | 2.99515 | − | 4.19131i | 0.113694 | − | 0.159100i | ||||
\(695\) | −1.67796 | + | 4.44093i | −0.0636487 | + | 0.168454i | ||||
\(696\) | 1.50924 | + | 1.04309i | 0.0572074 | + | 0.0395383i | ||||
\(697\) | −19.2938 | + | 37.8662i | −0.730804 | + | 1.43428i | ||||
\(698\) | −34.2386 | − | 5.14752i | −1.29595 | − | 0.194836i | ||||
\(699\) | 19.3578 | 0.732179 | ||||||||
\(700\) | 13.1133 | − | 21.4014i | 0.495635 | − | 0.808897i | ||||
\(701\) | −32.3819 | −1.22305 | −0.611524 | − | 0.791226i | \(-0.709443\pi\) | ||||
−0.611524 | + | 0.791226i | \(0.709443\pi\) | |||||||
\(702\) | −6.35269 | − | 0.955078i | −0.239767 | − | 0.0360471i | ||||
\(703\) | 5.63913 | − | 11.0674i | 0.212684 | − | 0.417415i | ||||
\(704\) | −7.91620 | + | 0.373364i | −0.298353 | + | 0.0140717i | ||||
\(705\) | −16.5302 | − | 13.2425i | −0.622565 | − | 0.498743i | ||||
\(706\) | 13.6058 | − | 19.0395i | 0.512062 | − | 0.716563i | ||||
\(707\) | −11.0384 | + | 11.0384i | −0.415142 | + | 0.415142i | ||||
\(708\) | 2.05980 | − | 14.4731i | 0.0774121 | − | 0.543933i | ||||
\(709\) | 16.8589 | + | 23.2043i | 0.633149 | + | 0.871454i | 0.998227 | − | 0.0595224i | \(-0.0189578\pi\) |
−0.365078 | + | 0.930977i | \(0.618958\pi\) | |||||||
\(710\) | −35.9809 | + | 16.5886i | −1.35034 | + | 0.622558i | ||||
\(711\) | 5.30176 | − | 7.29725i | 0.198832 | − | 0.273668i | ||||
\(712\) | 7.52587 | + | 13.9478i | 0.282044 | + | 0.522716i | ||||
\(713\) | 8.43662 | − | 53.2667i | 0.315954 | − | 1.99485i | ||||
\(714\) | 10.3236 | − | 7.62515i | 0.386351 | − | 0.285364i | ||||
\(715\) | 4.98515 | − | 8.74042i | 0.186434 | − | 0.326873i | ||||
\(716\) | 0.0289364 | + | 1.84177i | 0.00108140 | + | 0.0688303i | ||||
\(717\) | −0.714708 | + | 0.364162i | −0.0266913 | + | 0.0135999i | ||||
\(718\) | −4.85667 | − | 9.34947i | −0.181249 | − | 0.348919i | ||||
\(719\) | 3.24857 | − | 9.99806i | 0.121151 | − | 0.372865i | −0.872029 | − | 0.489454i | \(-0.837196\pi\) |
0.993180 | + | 0.116589i | \(0.0371961\pi\) | |||||||
\(720\) | −8.54880 | + | 2.63022i | −0.318595 | + | 0.0980227i | ||||
\(721\) | −11.7588 | − | 36.1898i | −0.437920 | − | 1.34778i | ||||
\(722\) | 10.2246 | − | 10.3865i | 0.380520 | − | 0.386545i | ||||
\(723\) | 1.98555 | + | 12.5363i | 0.0738434 | + | 0.466229i | ||||
\(724\) | 13.2138 | − | 18.8014i | 0.491087 | − | 0.698749i | ||||
\(725\) | −2.14463 | + | 2.43285i | −0.0796496 | + | 0.0903539i | ||||
\(726\) | 4.27234 | − | 13.5090i | 0.158561 | − | 0.501368i | ||||
\(727\) | 19.0292 | − | 3.01393i | 0.705755 | − | 0.111781i | 0.206768 | − | 0.978390i | \(-0.433706\pi\) |
0.498987 | + | 0.866609i | \(0.333706\pi\) | |||||||
\(728\) | −31.7234 | + | 5.79381i | −1.17575 | + | 0.214733i | ||||
\(729\) | 0.951057 | − | 0.309017i | 0.0352243 | − | 0.0114451i | ||||
\(730\) | 25.8054 | − | 7.27860i | 0.955100 | − | 0.269393i | ||||
\(731\) | −5.35484 | − | 1.73989i | −0.198056 | − | 0.0643523i | ||||
\(732\) | −2.43992 | + | 0.425839i | −0.0901821 | + | 0.0157395i | ||||
\(733\) | −16.7661 | − | 32.9054i | −0.619271 | − | 1.21539i | −0.961250 | − | 0.275680i | \(-0.911097\pi\) |
0.341979 | − | 0.939708i | \(-0.388903\pi\) | |||||||
\(734\) | −36.4571 | + | 12.1631i | −1.34566 | + | 0.448946i | ||||
\(735\) | 0.317473 | − | 1.53321i | 0.0117102 | − | 0.0565533i | ||||
\(736\) | −37.6153 | − | 25.1335i | −1.38652 | − | 0.926434i | ||||
\(737\) | −5.74446 | − | 0.909833i | −0.211600 | − | 0.0335141i | ||||
\(738\) | −7.42979 | + | 14.8694i | −0.273494 | + | 0.547349i | ||||
\(739\) | −0.146989 | − | 0.106794i | −0.00540707 | − | 0.00392846i | 0.585078 | − | 0.810977i | \(-0.301064\pi\) |
−0.590486 | + | 0.807048i | \(0.701064\pi\) | |||||||
\(740\) | −3.52965 | + | 18.5058i | −0.129752 | + | 0.680286i | ||||
\(741\) | 10.8360 | − | 7.87278i | 0.398069 | − | 0.289214i | ||||
\(742\) | 3.52454 | + | 21.1752i | 0.129390 | + | 0.777366i | ||||
\(743\) | −14.3370 | − | 14.3370i | −0.525973 | − | 0.525973i | 0.393396 | − | 0.919369i | \(-0.371300\pi\) |
−0.919369 | + | 0.393396i | \(0.871300\pi\) | |||||||
\(744\) | 6.31994 | + | 17.9964i | 0.231700 | + | 0.659780i | ||||
\(745\) | 14.4574 | − | 3.95550i | 0.529679 | − | 0.144918i | ||||
\(746\) | −0.0118080 | − | 1.50323i | −0.000432322 | − | 0.0550372i | ||||
\(747\) | −3.13531 | − | 1.59752i | −0.114715 | − | 0.0584502i | ||||
\(748\) | 3.15156 | − | 6.43316i | 0.115232 | − | 0.235220i | ||||
\(749\) | 43.0833i | 1.57423i | ||||||||
\(750\) | −2.84187 | − | 15.5539i | −0.103771 | − | 0.567948i | ||||
\(751\) | 12.5620i | 0.458394i | 0.973380 | + | 0.229197i | \(0.0736101\pi\) | ||||
−0.973380 | + | 0.229197i | \(0.926390\pi\) | |||||||
\(752\) | 18.2532 | + | 33.2022i | 0.665626 | + | 1.21076i | ||||
\(753\) | −4.50618 | − | 2.29601i | −0.164214 | − | 0.0836714i | ||||
\(754\) | 4.16677 | − | 0.0327303i | 0.151745 | − | 0.00119197i | ||||
\(755\) | −7.91323 | + | 2.16503i | −0.287992 | + | 0.0787934i | ||||
\(756\) | 4.01431 | − | 3.01404i | 0.145999 | − | 0.109620i | ||||
\(757\) | −30.6304 | − | 30.6304i | −1.11328 | − | 1.11328i | −0.992704 | − | 0.120579i | \(-0.961525\pi\) |
−0.120579 | − | 0.992704i | \(-0.538475\pi\) | |||||||
\(758\) | 26.6974 | − | 4.44369i | 0.969693 | − | 0.161402i | ||||
\(759\) | −6.40928 | + | 4.65661i | −0.232642 | + | 0.169024i | ||||
\(760\) | 8.85489 | − | 16.4121i | 0.321201 | − | 0.595329i | ||||
\(761\) | −26.3840 | − | 19.1691i | −0.956420 | − | 0.694880i | −0.00410353 | − | 0.999992i | \(-0.501306\pi\) |
−0.952317 | + | 0.305112i | \(0.901306\pi\) | |||||||
\(762\) | 21.0096 | + | 10.4979i | 0.761099 | + | 0.380299i | ||||
\(763\) | 41.2364 | + | 6.53120i | 1.49286 | + | 0.236445i | ||||
\(764\) | −13.7180 | − | 40.0667i | −0.496300 | − | 1.44956i | ||||
\(765\) | 1.63934 | − | 7.91706i | 0.0592703 | − | 0.286242i | ||||
\(766\) | −9.20856 | − | 27.6014i | −0.332719 | − | 0.997280i | ||||
\(767\) | −15.0740 | − | 29.5845i | −0.544292 | − | 1.06823i | ||||
\(768\) | 15.9290 | + | 1.50561i | 0.574788 | + | 0.0543291i | ||||
\(769\) | 12.4755 | + | 4.05354i | 0.449879 | + | 0.146175i | 0.525189 | − | 0.850986i | \(-0.323995\pi\) |
−0.0753100 | + | 0.997160i | \(0.523995\pi\) | |||||||
\(770\) | 2.13445 | + | 7.56744i | 0.0769203 | + | 0.272712i | ||||
\(771\) | −7.52249 | + | 2.44420i | −0.270916 | + | 0.0880259i | ||||
\(772\) | −26.1087 | + | 13.8239i | −0.939673 | + | 0.497533i | ||||
\(773\) | −45.2454 | + | 7.16616i | −1.62736 | + | 0.257749i | −0.902355 | − | 0.430993i | \(-0.858163\pi\) |
−0.725007 | + | 0.688742i | \(0.758163\pi\) | |||||||
\(774\) | −2.09972 | − | 0.664051i | −0.0754727 | − | 0.0238688i | ||||
\(775\) | −32.9057 | + | 7.35704i | −1.18201 | + | 0.264273i | ||||
\(776\) | 14.5102 | + | 19.0128i | 0.520886 | + | 0.682521i | ||||
\(777\) | −1.65404 | − | 10.4432i | −0.0593385 | − | 0.374648i | ||||
\(778\) | 13.3522 | + | 13.1441i | 0.478700 | + | 0.471238i | ||||
\(779\) | −10.7095 | − | 32.9606i | −0.383709 | − | 1.18094i | ||||
\(780\) | −12.4506 | + | 16.0521i | −0.445803 | + | 0.574758i | ||||
\(781\) | 3.83544 | − | 11.8043i | 0.137243 | − | 0.422390i | ||||
\(782\) | 36.2893 | − | 18.8508i | 1.29770 | − | 0.674104i | ||||
\(783\) | −0.577939 | + | 0.294475i | −0.0206539 | + | 0.0105237i | ||||
\(784\) | −1.57431 | + | 2.31655i | −0.0562255 | + | 0.0827340i | ||||
\(785\) | 19.4800 | − | 34.1541i | 0.695272 | − | 1.21901i | ||||
\(786\) | 12.7061 | + | 17.2026i | 0.453211 | + | 0.613597i | ||||
\(787\) | 1.69779 | − | 10.7194i | 0.0605197 | − | 0.382107i | −0.938774 | − | 0.344533i | \(-0.888037\pi\) |
0.999294 | − | 0.0375734i | \(-0.0119628\pi\) | |||||||
\(788\) | 29.9957 | − | 30.9533i | 1.06855 | − | 1.10266i | ||||
\(789\) | −3.13330 | + | 4.31262i | −0.111548 | + | 0.153533i | ||||
\(790\) | −11.9423 | − | 25.9030i | −0.424887 | − | 0.921589i | ||||
\(791\) | 12.3615 | + | 17.0142i | 0.439525 | + | 0.604954i | ||||
\(792\) | 1.21286 | − | 2.52580i | 0.0430972 | − | 0.0897504i | ||||
\(793\) | −3.97780 | + | 3.97780i | −0.141256 | + | 0.141256i | ||||
\(794\) | −14.5904 | − | 10.4264i | −0.517792 | − | 0.370019i | ||||
\(795\) | 10.5539 | + | 8.45480i | 0.374307 | + | 0.299861i | ||||
\(796\) | −20.6186 | − | 6.34306i | −0.730806 | − | 0.224824i | ||||
\(797\) | 13.5415 | − | 26.5768i | 0.479666 | − | 0.941397i | −0.516696 | − | 0.856169i | \(-0.672838\pi\) |
0.996361 | − | 0.0852282i | \(-0.0271619\pi\) | |||||||
\(798\) | −1.55603 | + | 10.3499i | −0.0550830 | + | 0.366384i | ||||
\(799\) | −34.2489 | −1.21164 | ||||||||
\(800\) | −5.95152 | + | 27.6510i | −0.210418 | + | 0.977612i | ||||
\(801\) | −5.60334 | −0.197984 | ||||||||
\(802\) | 3.18418 | − | 21.1796i | 0.112437 | − | 0.747876i | ||||
\(803\) | −3.81319 | + | 7.48381i | −0.134565 | + | 0.264098i | ||||
\(804\) | 11.2231 | + | 3.45267i | 0.395810 | + | 0.121766i | ||||
\(805\) | −15.8643 | + | 41.9867i | −0.559142 | + | 1.47984i | ||||
\(806\) | 35.2469 | + | 25.1877i | 1.24152 | + | 0.887200i | ||||
\(807\) | 10.7910 | − | 10.7910i | 0.379862 | − | 0.379862i | ||||
\(808\) | 7.61484 | − | 15.8580i | 0.267889 | − | 0.557882i | ||||
\(809\) | 4.38125 | + | 6.03028i | 0.154037 | + | 0.212013i | 0.879060 | − | 0.476711i | \(-0.158171\pi\) |
−0.725023 | + | 0.688724i | \(0.758171\pi\) | |||||||
\(810\) | 0.616849 | − | 3.10153i | 0.0216739 | − | 0.108977i | ||||
\(811\) | −0.930193 | + | 1.28030i | −0.0326635 | + | 0.0449575i | −0.825036 | − | 0.565080i | \(-0.808845\pi\) |
0.792373 | + | 0.610037i | \(0.208845\pi\) | |||||||
\(812\) | −2.26594 | + | 2.33828i | −0.0795188 | + | 0.0820574i | ||||
\(813\) | 2.60532 | − | 16.4493i | 0.0913726 | − | 0.576904i | ||||
\(814\) | −3.50632 | − | 4.74717i | −0.122896 | − | 0.166388i | ||||
\(815\) | 2.25946 | + | 20.4612i | 0.0791454 | + | 0.716725i | ||||
\(816\) | −8.12930 | + | 11.9620i | −0.284583 | + | 0.418754i | ||||
\(817\) | 4.09110 | − | 2.08452i | 0.143129 | − | 0.0729281i | ||||
\(818\) | −32.6213 | + | 16.9455i | −1.14058 | + | 0.592484i | ||||
\(819\) | 3.52323 | − | 10.8434i | 0.123112 | − | 0.378899i | ||||
\(820\) | 29.5467 | + | 43.4741i | 1.03181 | + | 1.51818i | ||||
\(821\) | 9.93549 | + | 30.5783i | 0.346751 | + | 1.06719i | 0.960640 | + | 0.277798i | \(0.0896044\pi\) |
−0.613888 | + | 0.789393i | \(0.710396\pi\) | |||||||
\(822\) | 8.21556 | + | 8.08750i | 0.286551 | + | 0.282084i | ||||
\(823\) | −4.78704 | − | 30.2242i | −0.166866 | − | 1.05355i | −0.918919 | − | 0.394447i | \(-0.870936\pi\) |
0.752053 | − | 0.659103i | \(-0.229064\pi\) | |||||||
\(824\) | 26.0151 | + | 34.0877i | 0.906277 | + | 1.18750i | ||||
\(825\) | 4.18219 | + | 2.65381i | 0.145605 | + | 0.0923937i | ||||
\(826\) | 24.7380 | + | 7.82357i | 0.860745 | + | 0.272217i | ||||
\(827\) | 50.7210 | − | 8.03342i | 1.76374 | − | 0.279349i | 0.811425 | − | 0.584457i | \(-0.198692\pi\) |
0.952318 | + | 0.305107i | \(0.0986923\pi\) | |||||||
\(828\) | 14.1354 | − | 7.48436i | 0.491240 | − | 0.260099i | ||||
\(829\) | −25.8242 | + | 8.39079i | −0.896912 | + | 0.291424i | −0.720962 | − | 0.692975i | \(-0.756300\pi\) |
−0.175950 | + | 0.984399i | \(0.556300\pi\) | |||||||
\(830\) | −9.25205 | + | 6.18237i | −0.321144 | + | 0.214593i | ||||
\(831\) | −13.7964 | − | 4.48271i | −0.478590 | − | 0.155503i | ||||
\(832\) | 31.5661 | − | 18.0052i | 1.09436 | − | 0.624218i | ||||
\(833\) | −1.14941 | − | 2.25584i | −0.0398247 | − | 0.0781604i | ||||
\(834\) | 0.950223 | + | 2.84817i | 0.0329035 | + | 0.0986239i | ||||
\(835\) | 28.1775 | − | 25.6408i | 0.975123 | − | 0.887338i | ||||
\(836\) | 1.89230 | + | 5.52691i | 0.0654464 | + | 0.191152i | ||||
\(837\) | −6.66060 | − | 1.05494i | −0.230224 | − | 0.0364639i | ||||
\(838\) | −30.5171 | − | 15.2485i | −1.05420 | − | 0.526751i | ||||
\(839\) | −12.9256 | − | 9.39100i | −0.446241 | − | 0.324213i | 0.341869 | − | 0.939748i | \(-0.388940\pi\) |
−0.788110 | + | 0.615535i | \(0.788940\pi\) | |||||||
\(840\) | −2.11364 | − | 15.7329i | −0.0729275 | − | 0.542836i | ||||
\(841\) | −23.1211 | + | 16.7985i | −0.797280 | + | 0.579258i | ||||
\(842\) | −24.4183 | + | 4.06434i | −0.841509 | + | 0.140066i | ||||
\(843\) | −1.19860 | − | 1.19860i | −0.0412819 | − | 0.0412819i | ||||
\(844\) | −36.1425 | + | 27.1367i | −1.24408 | + | 0.934083i | ||||
\(845\) | −0.803731 | + | 17.0522i | −0.0276492 | + | 0.586613i | ||||
\(846\) | −13.3953 | + | 0.105221i | −0.460541 | + | 0.00361759i | ||||
\(847\) | 22.4054 | + | 11.4161i | 0.769860 | + | 0.392263i | ||||
\(848\) | −11.6539 | − | 21.1982i | −0.400197 | − | 0.727949i | ||||
\(849\) | − | 2.12731i | − | 0.0730089i | ||||||
\(850\) | −19.3112 | − | 16.7556i | −0.662367 | − | 0.574714i | ||||
\(851\) | − | 33.6895i | − | 1.15486i | ||||||
\(852\) | −11.0241 | + | 22.5032i | −0.377680 | + | 0.770945i | ||||
\(853\) | 45.1378 | + | 22.9989i | 1.54549 | + | 0.787466i | 0.998757 | − | 0.0498414i | \(-0.0158716\pi\) |
0.546732 | + | 0.837308i | \(0.315872\pi\) | |||||||
\(854\) | −0.0345285 | − | 4.39568i | −0.00118154 | − | 0.150417i | ||||
\(855\) | 3.61997 | + | 5.51058i | 0.123800 | + | 0.188458i | ||||
\(856\) | −16.0867 | − | 45.8077i | −0.549831 | − | 1.56567i | ||||
\(857\) | −33.6931 | − | 33.6931i | −1.15093 | − | 1.15093i | −0.986366 | − | 0.164569i | \(-0.947377\pi\) |
−0.164569 | − | 0.986366i | \(-0.552623\pi\) | |||||||
\(858\) | −1.04487 | − | 6.27749i | −0.0356712 | − | 0.214310i | ||||
\(859\) | 28.7062 | − | 20.8562i | 0.979441 | − | 0.711606i | 0.0218576 | − | 0.999761i | \(-0.493042\pi\) |
0.957584 | + | 0.288155i | \(0.0930420\pi\) | |||||||
\(860\) | −5.07643 | + | 4.76734i | −0.173105 | + | 0.162565i | ||||
\(861\) | −23.8669 | − | 17.3403i | −0.813382 | − | 0.590956i | ||||
\(862\) | −22.9983 | + | 46.0269i | −0.783325 | + | 1.56768i | ||||
\(863\) | −31.6541 | − | 5.01352i | −1.07752 | − | 0.170662i | −0.407647 | − | 0.913140i | \(-0.633651\pi\) |
−0.669871 | + | 0.742477i | \(0.733651\pi\) | |||||||
\(864\) | −3.14276 | + | 4.70352i | −0.106919 | + | 0.160017i | ||||
\(865\) | 13.7827 | + | 30.5233i | 0.468627 | + | 1.03782i | ||||
\(866\) | −48.0973 | + | 16.0465i | −1.63441 | + | 0.545283i | ||||
\(867\) | 1.78262 | + | 3.49859i | 0.0605409 | + | 0.118818i | ||||
\(868\) | −33.3481 | + | 5.82023i | −1.13191 | + | 0.197552i | ||||
\(869\) | 8.49801 | + | 2.76117i | 0.288275 | + | 0.0936663i | ||||
\(870\) | −0.0804750 | + | 2.04959i | −0.00272836 | + | 0.0694876i | ||||
\(871\) | 25.3643 | − | 8.24136i | 0.859437 | − | 0.279248i | ||||
\(872\) | −46.2826 | + | 8.45284i | −1.56733 | + | 0.286249i | ||||
\(873\) | −8.35191 | + | 1.32281i | −0.282669 | + | 0.0447704i | ||||
\(874\) | −10.0557 | + | 31.7959i | −0.340138 | + | 1.07551i | ||||
\(875\) | 28.0584 | − | 0.442893i | 0.948549 | − | 0.0149725i | ||||
\(876\) | 9.75065 | − | 13.8738i | 0.329444 | − | 0.468753i | ||||
\(877\) | 3.21039 | + | 20.2696i | 0.108407 | + | 0.684457i | 0.980707 | + | 0.195485i | \(0.0626280\pi\) |
−0.872299 | + | 0.488972i | \(0.837372\pi\) | |||||||
\(878\) | −16.0353 | + | 16.2892i | −0.541166 | + | 0.549735i | ||||
\(879\) | −5.46804 | − | 16.8289i | −0.184432 | − | 0.567625i | ||||
\(880\) | −5.09500 | − | 7.24900i | −0.171752 | − | 0.244364i | ||||
\(881\) | −10.4735 | + | 32.2341i | −0.352861 | + | 1.08599i | 0.604379 | + | 0.796697i | \(0.293421\pi\) |
−0.957239 | + | 0.289297i | \(0.906579\pi\) | |||||||
\(882\) | −0.456484 | − | 0.878767i | −0.0153706 | − | 0.0295896i | ||||
\(883\) | −18.4629 | + | 9.40734i | −0.621327 | + | 0.316582i | −0.736165 | − | 0.676802i | \(-0.763365\pi\) |
0.114838 | + | 0.993384i | \(0.463365\pi\) | |||||||
\(884\) | 0.516031 | + | 32.8449i | 0.0173560 | + | 1.10469i | ||||
\(885\) | 14.8963 | − | 6.72637i | 0.500732 | − | 0.226105i | ||||
\(886\) | −5.09795 | + | 3.76541i | −0.171269 | + | 0.126502i | ||||
\(887\) | 4.49497 | − | 28.3801i | 0.150926 | − | 0.952911i | −0.789706 | − | 0.613485i | \(-0.789767\pi\) |
0.940633 | − | 0.339426i | \(-0.110233\pi\) | |||||||
\(888\) | 5.65798 | + | 10.4860i | 0.189869 | + | 0.351887i | ||||
\(889\) | −24.5009 | + | 33.7227i | −0.821735 | + | 1.13102i | ||||
\(890\) | −8.65764 | + | 15.4603i | −0.290205 | + | 0.518229i | ||||
\(891\) | 0.582275 | + | 0.801432i | 0.0195069 | + | 0.0268490i | ||||
\(892\) | −0.0960675 | + | 0.675014i | −0.00321658 | + | 0.0226012i | ||||
\(893\) | 19.7492 | − | 19.7492i | 0.660882 | − | 0.660882i | ||||
\(894\) | 5.51163 | − | 7.71280i | 0.184337 | − | 0.257955i | ||||
\(895\) | −1.72125 | + | 1.13071i | −0.0575351 | + | 0.0377955i | ||||
\(896\) | −7.27759 | + | 27.4483i | −0.243127 | + | 0.916983i | ||||
\(897\) | 16.4925 | − | 32.3683i | 0.550667 | − | 1.08075i | ||||
\(898\) | 44.7808 | + | 6.73245i | 1.49436 | + | 0.224665i | ||||
\(899\) | 4.37416 | 0.145886 | ||||||||
\(900\) | −7.60440 | − | 6.49408i | −0.253480 | − | 0.216469i | ||||
\(901\) | 21.8665 | 0.728478 | ||||||||
\(902\) | −16.2834 | − | 2.44809i | −0.542179 | − | 0.0815125i | ||||
\(903\) | 1.77441 | − | 3.48248i | 0.0590488 | − | 0.115890i | ||||
\(904\) | −19.4960 | − | 13.4744i | −0.648428 | − | 0.448153i | ||||
\(905\) | 25.6644 | + | 1.20965i | 0.853112 | + | 0.0402103i | ||||
\(906\) | −3.01677 | + | 4.22157i | −0.100226 | + | 0.140252i | ||||
\(907\) | −1.04173 | + | 1.04173i | −0.0345900 | + | 0.0345900i | −0.724190 | − | 0.689600i | \(-0.757786\pi\) |
0.689600 | + | 0.724190i | \(0.257786\pi\) | |||||||
\(908\) | 30.0514 | + | 4.27689i | 0.997291 | + | 0.141934i | ||||
\(909\) | 3.65575 | + | 5.03171i | 0.121254 | + | 0.166891i | ||||
\(910\) | −24.4745 | − | 26.4750i | −0.811321 | − | 0.877637i | ||||
\(911\) | 1.07000 | − | 1.47273i | 0.0354508 | − | 0.0487938i | −0.790924 | − | 0.611915i | \(-0.790400\pi\) |
0.826374 | + | 0.563121i | \(0.190400\pi\) | |||||||
\(912\) | −2.21008 | − | 11.5854i | −0.0731831 | − | 0.383631i | ||||
\(913\) | 0.545307 | − | 3.44293i | 0.0180470 | − | 0.113944i | ||||
\(914\) | 26.0470 | − | 19.2386i | 0.861557 | − | 0.636357i | ||||
\(915\) | −1.86372 | − | 2.04810i | −0.0616128 | − | 0.0677082i | ||||
\(916\) | −37.4722 | + | 0.588731i | −1.23812 | + | 0.0194522i | ||||
\(917\) | −33.8193 | + | 17.2318i | −1.11681 | + | 0.569044i | ||||
\(918\) | −2.35715 | − | 4.53770i | −0.0777976 | − | 0.149766i | ||||
\(919\) | −11.4266 | + | 35.1676i | −0.376930 | + | 1.16007i | 0.565237 | + | 0.824929i | \(0.308785\pi\) |
−0.942167 | + | 0.335144i | \(0.891215\pi\) | |||||||
\(920\) | 1.19022 | − | 50.5652i | 0.0392404 | − | 1.66709i | ||||
\(921\) | 8.26923 | + | 25.4501i | 0.272480 | + | 0.838608i | ||||
\(922\) | −12.2283 | + | 12.4219i | −0.402718 | + | 0.409095i | ||||
\(923\) | 8.90332 | + | 56.2134i | 0.293056 | + | 1.85029i | ||||
\(924\) | 4.06851 | + | 2.85938i | 0.133844 | + | 0.0940668i | ||||
\(925\) | −19.5836 | + | 7.75482i | −0.643903 | + | 0.254977i | ||||
\(926\) | −13.8708 | + | 43.8593i | −0.455824 | + | 1.44131i | ||||
\(927\) | −14.9740 | + | 2.37164i | −0.491809 | + | 0.0778950i | ||||
\(928\) | 1.53615 | − | 3.33220i | 0.0504265 | − | 0.109385i | ||||
\(929\) | −36.8445 | + | 11.9715i | −1.20883 | + | 0.392772i | −0.843002 | − | 0.537911i | \(-0.819214\pi\) |
−0.365827 | + | 0.930683i | \(0.619214\pi\) | |||||||
\(930\) | −13.2019 | + | 16.7474i | −0.432907 | + | 0.549169i | ||||
\(931\) | 1.96360 | + | 0.638012i | 0.0643544 | + | 0.0209100i | ||||
\(932\) | −6.65641 | − | 38.1391i | −0.218038 | − | 1.24929i | ||||
\(933\) | −1.04874 | − | 2.05827i | −0.0343342 | − | 0.0673847i | ||||
\(934\) | 2.22368 | − | 0.741878i | 0.0727610 | − | 0.0242750i | ||||
\(935\) | 7.96081 | − | 0.879084i | 0.260346 | − | 0.0287491i | ||||
\(936\) | 0.302736 | + | 12.8446i | 0.00989525 | + | 0.419839i | ||||
\(937\) | 14.1890 | + | 2.24732i | 0.463536 | + | 0.0734168i | 0.383834 | − | 0.923402i | \(-0.374603\pi\) |
0.0797013 | + | 0.996819i | \(0.474603\pi\) | |||||||
\(938\) | −9.31503 | + | 18.6423i | −0.304146 | + | 0.608694i | ||||
\(939\) | 5.29010 | + | 3.84349i | 0.172636 | + | 0.125427i | ||||
\(940\) | −20.4066 | + | 37.1218i | −0.665589 | + | 1.21078i | ||||
\(941\) | 28.0766 | − | 20.3988i | 0.915270 | − | 0.664982i | −0.0270725 | − | 0.999633i | \(-0.508618\pi\) |
0.942342 | + | 0.334651i | \(0.108618\pi\) | |||||||
\(942\) | −4.08293 | − | 24.5300i | −0.133029 | − | 0.799229i | ||||
\(943\) | −66.4665 | − | 66.4665i | −2.16445 | − | 2.16445i | ||||
\(944\) | −29.2235 | + | 0.918497i | −0.951144 | + | 0.0298945i | ||||
\(945\) | 5.25013 | + | 1.98371i | 0.170787 | + | 0.0645300i | ||||
\(946\) | −0.0171359 | − | 2.18150i | −0.000557137 | − | 0.0709268i | ||||
\(947\) | 2.50903 | + | 1.27841i | 0.0815325 | + | 0.0415429i | 0.494281 | − | 0.869302i | \(-0.335431\pi\) |
−0.412749 | + | 0.910845i | \(0.635431\pi\) | |||||||
\(948\) | −16.2003 | − | 7.93638i | −0.526160 | − | 0.257762i | ||||
\(949\) | − | 38.5149i | − | 1.25025i | ||||||
\(950\) | 20.7975 | − | 1.47361i | 0.674760 | − | 0.0478103i | ||||
\(951\) | 19.9446i | 0.646747i | ||||||||
\(952\) | −18.5731 | − | 17.7178i | −0.601958 | − | 0.574236i | ||||
\(953\) | −25.2286 | − | 12.8546i | −0.817234 | − | 0.416401i | −0.00518178 | − | 0.999987i | \(-0.501649\pi\) |
−0.812052 | + | 0.583585i | \(0.801649\pi\) | |||||||
\(954\) | 8.55234 | − | 0.0671795i | 0.276892 | − | 0.00217502i | ||||
\(955\) | 29.6036 | − | 36.9532i | 0.957948 | − | 1.19578i | ||||
\(956\) | 0.963240 | + | 1.28291i | 0.0311534 | + | 0.0414923i | ||||
\(957\) | −0.454355 | − | 0.454355i | −0.0146872 | − | 0.0146872i | ||||
\(958\) | −1.87960 | + | 0.312852i | −0.0607270 | + | 0.0101078i | ||||
\(959\) | −16.5529 | + | 12.0264i | −0.534520 | + | 0.388351i | ||||
\(960\) | 8.12172 | + | 15.9386i | 0.262127 | + | 0.514415i | ||||
\(961\) | 11.7117 | + | 8.50908i | 0.377798 | + | 0.274486i | ||||
\(962\) | 24.2083 | + | 12.0962i | 0.780508 | + | 0.389997i | ||||
\(963\) | 16.9538 | + | 2.68521i | 0.546327 | + | 0.0865297i | ||||
\(964\) | 24.0164 | − | 8.22271i | 0.773517 | − | 0.264836i | ||||
\(965\) | −28.6910 | − | 16.3641i | −0.923596 | − | 0.526779i | ||||
\(966\) | 8.98387 | + | 26.9279i | 0.289051 | + | 0.866392i | ||||
\(967\) | 11.2935 | + | 22.1648i | 0.363175 | + | 0.712771i | 0.998216 | − | 0.0597073i | \(-0.0190167\pi\) |
−0.635041 | + | 0.772479i | \(0.719017\pi\) | |||||||
\(968\) | −28.0849 | − | 3.77219i | −0.902682 | − | 0.121243i | ||||
\(969\) | 10.1395 | + | 3.29451i | 0.325726 | + | 0.105835i | ||||
\(970\) | −9.25461 | + | 25.0877i | −0.297148 | + | 0.805519i | ||||
\(971\) | 13.7509 | − | 4.46795i | 0.441289 | − | 0.143383i | −0.0799415 | − | 0.996800i | \(-0.525473\pi\) |
0.521230 | + | 0.853416i | \(0.325473\pi\) | |||||||
\(972\) | −0.935863 | − | 1.76753i | −0.0300178 | − | 0.0566935i | ||||
\(973\) | −5.26320 | + | 0.833609i | −0.168730 | + | 0.0267243i | ||||
\(974\) | −44.6622 | − | 14.1248i | −1.43107 | − | 0.452587i | ||||
\(975\) | −22.6119 | − | 2.13631i | −0.724160 | − | 0.0684165i | ||||
\(976\) | 1.67799 | + | 4.66075i | 0.0537112 | + | 0.149187i | ||||
\(977\) | 0.0404109 | + | 0.255144i | 0.00129286 | + | 0.00816278i | 0.988326 | − | 0.152352i | \(-0.0486847\pi\) |
−0.987033 | + | 0.160515i | \(0.948685\pi\) | |||||||
\(978\) | 9.27818 | + | 9.13355i | 0.296683 | + | 0.292059i | ||||
\(979\) | −1.71529 | − | 5.27913i | −0.0548211 | − | 0.168722i | ||||
\(980\) | −3.12993 | − | 0.0982772i | −0.0999819 | − | 0.00313935i | ||||
\(981\) | 5.14020 | − | 15.8199i | 0.164114 | − | 0.505091i | ||||
\(982\) | −3.84812 | + | 1.99894i | −0.122799 | + | 0.0637889i | ||||
\(983\) | 10.9161 | − | 5.56205i | 0.348171 | − | 0.177402i | −0.271156 | − | 0.962536i | \(-0.587406\pi\) |
0.619326 | + | 0.785134i | \(0.287406\pi\) | |||||||
\(984\) | 31.8507 | + | 9.52529i | 1.01536 | + | 0.303655i | ||||
\(985\) | 47.1893 | + | 9.77120i | 1.50358 | + | 0.311336i | ||||
\(986\) | 1.97055 | + | 2.66790i | 0.0627550 | + | 0.0849633i | ||||
\(987\) | 3.71918 | − | 23.4820i | 0.118383 | − | 0.747439i | ||||
\(988\) | −19.2372 | − | 18.6420i | −0.612016 | − | 0.593083i | ||||
\(989\) | 7.31992 | − | 10.0750i | 0.232760 | − | 0.320367i | ||||
\(990\) | 3.11091 | − | 0.368282i | 0.0988711 | − | 0.0117048i | ||||
\(991\) | −9.47852 | − | 13.0461i | −0.301095 | − | 0.414422i | 0.631483 | − | 0.775390i | \(-0.282447\pi\) |
−0.932578 | + | 0.360968i | \(0.882447\pi\) | |||||||
\(992\) | 33.2836 | − | 18.6399i | 1.05676 | − | 0.591819i | ||||
\(993\) | −21.9391 | + | 21.9391i | −0.696217 | + | 0.696217i | ||||
\(994\) | −36.1840 | − | 25.8574i | −1.14769 | − | 0.820148i | ||||
\(995\) | −6.36479 | − | 23.2635i | −0.201778 | − | 0.737502i | ||||
\(996\) | −2.06935 | + | 6.72657i | −0.0655698 | + | 0.213139i | ||||
\(997\) | 15.2660 | − | 29.9612i | 0.483479 | − | 0.948881i | −0.512448 | − | 0.858718i | \(-0.671261\pi\) |
0.995927 | − | 0.0901629i | \(-0.0287388\pi\) | |||||||
\(998\) | −8.03810 | + | 53.4653i | −0.254442 | + | 1.69242i | ||||
\(999\) | −4.21261 | −0.133281 |
(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 | 300.2.w.a.187.18 | yes | 240 | |
3.2 | odd | 2 | 900.2.bj.f.487.13 | 240 | |||
4.3 | odd | 2 | inner | 300.2.w.a.187.11 | ✓ | 240 | |
12.11 | even | 2 | 900.2.bj.f.487.20 | 240 | |||
25.23 | odd | 20 | inner | 300.2.w.a.223.11 | yes | 240 | |
75.23 | even | 20 | 900.2.bj.f.523.20 | 240 | |||
100.23 | even | 20 | inner | 300.2.w.a.223.18 | yes | 240 | |
300.23 | odd | 20 | 900.2.bj.f.523.13 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.187.11 | ✓ | 240 | 4.3 | odd | 2 | inner | |
300.2.w.a.187.18 | yes | 240 | 1.1 | even | 1 | trivial | |
300.2.w.a.223.11 | yes | 240 | 25.23 | odd | 20 | inner | |
300.2.w.a.223.18 | yes | 240 | 100.23 | even | 20 | inner | |
900.2.bj.f.487.13 | 240 | 3.2 | odd | 2 | |||
900.2.bj.f.487.20 | 240 | 12.11 | even | 2 | |||
900.2.bj.f.523.13 | 240 | 300.23 | odd | 20 | |||
900.2.bj.f.523.20 | 240 | 75.23 | even | 20 |