Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [361,2,Mod(68,361)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(361, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("361.68");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 361 = 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 361.c (of order \(3\), degree \(2\), not 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: | \(2.88259951297\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 19) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 292.3 | ||
Root | \(-0.766044 + 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 361.292 |
Dual form | 361.2.c.i.68.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/361\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.26604 | + | 2.19285i | 0.895229 | + | 1.55058i | 0.833521 | + | 0.552487i | \(0.186321\pi\) |
0.0617072 | + | 0.998094i | \(0.480346\pi\) | |||||||
\(3\) | 0.326352 | + | 0.565258i | 0.188419 | + | 0.326352i | 0.944723 | − | 0.327868i | \(-0.106330\pi\) |
−0.756304 | + | 0.654220i | \(0.772997\pi\) | |||||||
\(4\) | −2.20574 | + | 3.82045i | −1.10287 | + | 1.91022i | ||||
\(5\) | 0.673648 | + | 1.16679i | 0.301265 | + | 0.521806i | 0.976423 | − | 0.215867i | \(-0.0692579\pi\) |
−0.675158 | + | 0.737673i | \(0.735925\pi\) | |||||||
\(6\) | −0.826352 | + | 1.43128i | −0.337357 | + | 0.584319i | ||||
\(7\) | 1.53209 | 0.579075 | 0.289538 | − | 0.957167i | \(-0.406498\pi\) | ||||
0.289538 | + | 0.957167i | \(0.406498\pi\) | |||||||
\(8\) | −6.10607 | −2.15882 | ||||||||
\(9\) | 1.28699 | − | 2.22913i | 0.428996 | − | 0.743043i | ||||
\(10\) | −1.70574 | + | 2.95442i | −0.539401 | + | 0.934271i | ||||
\(11\) | −1.18479 | −0.357228 | −0.178614 | − | 0.983919i | \(-0.557161\pi\) | ||||
−0.178614 | + | 0.983919i | \(0.557161\pi\) | |||||||
\(12\) | −2.87939 | −0.831207 | ||||||||
\(13\) | −1.35844 | + | 2.35289i | −0.376764 | + | 0.652574i | −0.990589 | − | 0.136868i | \(-0.956296\pi\) |
0.613826 | + | 0.789442i | \(0.289630\pi\) | |||||||
\(14\) | 1.93969 | + | 3.35965i | 0.518405 | + | 0.897903i | ||||
\(15\) | −0.439693 | + | 0.761570i | −0.113528 | + | 0.196637i | ||||
\(16\) | −3.31908 | − | 5.74881i | −0.829769 | − | 1.43720i | ||||
\(17\) | −1.93969 | − | 3.35965i | −0.470445 | − | 0.814834i | 0.528984 | − | 0.848632i | \(-0.322573\pi\) |
−0.999429 | + | 0.0337978i | \(0.989240\pi\) | |||||||
\(18\) | 6.51754 | 1.53620 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | −5.94356 | −1.32902 | ||||||||
\(21\) | 0.500000 | + | 0.866025i | 0.109109 | + | 0.188982i | ||||
\(22\) | −1.50000 | − | 2.59808i | −0.319801 | − | 0.553912i | ||||
\(23\) | 2.53209 | − | 4.38571i | 0.527977 | − | 0.914483i | −0.471491 | − | 0.881871i | \(-0.656284\pi\) |
0.999468 | − | 0.0326122i | \(-0.0103826\pi\) | |||||||
\(24\) | −1.99273 | − | 3.45150i | −0.406763 | − | 0.704535i | ||||
\(25\) | 1.59240 | − | 2.75811i | 0.318479 | − | 0.551622i | ||||
\(26\) | −6.87939 | −1.34916 | ||||||||
\(27\) | 3.63816 | 0.700163 | ||||||||
\(28\) | −3.37939 | + | 5.85327i | −0.638644 | + | 1.10616i | ||||
\(29\) | 2.32635 | − | 4.02936i | 0.431993 | − | 0.748233i | −0.565052 | − | 0.825055i | \(-0.691144\pi\) |
0.997045 | + | 0.0768219i | \(0.0244773\pi\) | |||||||
\(30\) | −2.22668 | −0.406535 | ||||||||
\(31\) | −3.83750 | −0.689235 | −0.344617 | − | 0.938743i | \(-0.611991\pi\) | ||||
−0.344617 | + | 0.938743i | \(0.611991\pi\) | |||||||
\(32\) | 2.29813 | − | 3.98048i | 0.406256 | − | 0.703657i | ||||
\(33\) | −0.386659 | − | 0.669713i | −0.0673087 | − | 0.116582i | ||||
\(34\) | 4.91147 | − | 8.50692i | 0.842311 | − | 1.45893i | ||||
\(35\) | 1.03209 | + | 1.78763i | 0.174455 | + | 0.302165i | ||||
\(36\) | 5.67752 | + | 9.83375i | 0.946253 | + | 1.63896i | ||||
\(37\) | −4.10607 | −0.675033 | −0.337517 | − | 0.941320i | \(-0.609587\pi\) | ||||
−0.337517 | + | 0.941320i | \(0.609587\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.77332 | −0.283958 | ||||||||
\(40\) | −4.11334 | − | 7.12452i | −0.650376 | − | 1.12648i | ||||
\(41\) | 4.99273 | + | 8.64766i | 0.779733 | + | 1.35054i | 0.932096 | + | 0.362212i | \(0.117978\pi\) |
−0.152363 | + | 0.988325i | \(0.548688\pi\) | |||||||
\(42\) | −1.26604 | + | 2.19285i | −0.195355 | + | 0.338365i | ||||
\(43\) | 4.35117 | + | 7.53644i | 0.663547 | + | 1.14930i | 0.979677 | + | 0.200581i | \(0.0642829\pi\) |
−0.316130 | + | 0.948716i | \(0.602384\pi\) | |||||||
\(44\) | 2.61334 | − | 4.52644i | 0.393976 | − | 0.682386i | ||||
\(45\) | 3.46791 | 0.516966 | ||||||||
\(46\) | 12.8229 | 1.89064 | ||||||||
\(47\) | −0.286989 | + | 0.497079i | −0.0418616 | + | 0.0725065i | −0.886197 | − | 0.463308i | \(-0.846662\pi\) |
0.844335 | + | 0.535815i | \(0.179996\pi\) | |||||||
\(48\) | 2.16637 | − | 3.75227i | 0.312689 | − | 0.541594i | ||||
\(49\) | −4.65270 | −0.664672 | ||||||||
\(50\) | 8.06418 | 1.14045 | ||||||||
\(51\) | 1.26604 | − | 2.19285i | 0.177282 | − | 0.307061i | ||||
\(52\) | −5.99273 | − | 10.3797i | −0.831042 | − | 1.43941i | ||||
\(53\) | −1.47178 | + | 2.54920i | −0.202165 | + | 0.350160i | −0.949226 | − | 0.314596i | \(-0.898131\pi\) |
0.747061 | + | 0.664756i | \(0.231464\pi\) | |||||||
\(54\) | 4.60607 | + | 7.97794i | 0.626806 | + | 1.08566i | ||||
\(55\) | −0.798133 | − | 1.38241i | −0.107620 | − | 0.186404i | ||||
\(56\) | −9.35504 | −1.25012 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 11.7811 | 1.54693 | ||||||||
\(59\) | 1.96791 | + | 3.40852i | 0.256200 | + | 0.443752i | 0.965221 | − | 0.261436i | \(-0.0841960\pi\) |
−0.709021 | + | 0.705188i | \(0.750863\pi\) | |||||||
\(60\) | −1.93969 | − | 3.35965i | −0.250413 | − | 0.433728i | ||||
\(61\) | 2.25877 | − | 3.91231i | 0.289206 | − | 0.500919i | −0.684414 | − | 0.729093i | \(-0.739942\pi\) |
0.973620 | + | 0.228174i | \(0.0732754\pi\) | |||||||
\(62\) | −4.85844 | − | 8.41507i | −0.617023 | − | 1.06871i | ||||
\(63\) | 1.97178 | − | 3.41523i | 0.248421 | − | 0.430278i | ||||
\(64\) | −1.63816 | −0.204769 | ||||||||
\(65\) | −3.66044 | −0.454022 | ||||||||
\(66\) | 0.979055 | − | 1.69577i | 0.120513 | − | 0.208735i | ||||
\(67\) | 1.94356 | − | 3.36635i | 0.237444 | − | 0.411265i | −0.722536 | − | 0.691333i | \(-0.757024\pi\) |
0.959980 | + | 0.280068i | \(0.0903570\pi\) | |||||||
\(68\) | 17.1138 | 2.07535 | ||||||||
\(69\) | 3.30541 | 0.397924 | ||||||||
\(70\) | −2.61334 | + | 4.52644i | −0.312354 | + | 0.541013i | ||||
\(71\) | 3.46791 | + | 6.00660i | 0.411565 | + | 0.712852i | 0.995061 | − | 0.0992641i | \(-0.0316489\pi\) |
−0.583496 | + | 0.812116i | \(0.698316\pi\) | |||||||
\(72\) | −7.85844 | + | 13.6112i | −0.926126 | + | 1.60410i | ||||
\(73\) | −3.06418 | − | 5.30731i | −0.358635 | − | 0.621174i | 0.629098 | − | 0.777326i | \(-0.283424\pi\) |
−0.987733 | + | 0.156152i | \(0.950091\pi\) | |||||||
\(74\) | −5.19846 | − | 9.00400i | −0.604309 | − | 1.04669i | ||||
\(75\) | 2.07873 | 0.240031 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.81521 | −0.206862 | ||||||||
\(78\) | −2.24510 | − | 3.88863i | −0.254208 | − | 0.440300i | ||||
\(79\) | −4.90420 | − | 8.49432i | −0.551766 | − | 0.955686i | −0.998147 | − | 0.0608434i | \(-0.980621\pi\) |
0.446382 | − | 0.894843i | \(-0.352712\pi\) | |||||||
\(80\) | 4.47178 | − | 7.74535i | 0.499960 | − | 0.865957i | ||||
\(81\) | −2.67365 | − | 4.63089i | −0.297072 | − | 0.514544i | ||||
\(82\) | −12.6420 | + | 21.8966i | −1.39608 | + | 2.41808i | ||||
\(83\) | 12.3182 | 1.35210 | 0.676049 | − | 0.736857i | \(-0.263691\pi\) | ||||
0.676049 | + | 0.736857i | \(0.263691\pi\) | |||||||
\(84\) | −4.41147 | −0.481331 | ||||||||
\(85\) | 2.61334 | − | 4.52644i | 0.283457 | − | 0.490961i | ||||
\(86\) | −11.0175 | + | 19.0829i | −1.18805 | + | 2.05777i | ||||
\(87\) | 3.03684 | 0.325583 | ||||||||
\(88\) | 7.23442 | 0.771192 | ||||||||
\(89\) | 1.21301 | − | 2.10100i | 0.128579 | − | 0.222705i | −0.794547 | − | 0.607202i | \(-0.792292\pi\) |
0.923126 | + | 0.384497i | \(0.125625\pi\) | |||||||
\(90\) | 4.39053 | + | 7.60462i | 0.462802 | + | 0.801597i | ||||
\(91\) | −2.08125 | + | 3.60483i | −0.218174 | + | 0.377889i | ||||
\(92\) | 11.1702 | + | 19.3474i | 1.16458 | + | 2.01711i | ||||
\(93\) | −1.25237 | − | 2.16918i | −0.129865 | − | 0.224933i | ||||
\(94\) | −1.45336 | −0.149903 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.00000 | 0.306186 | ||||||||
\(97\) | −3.68479 | − | 6.38225i | −0.374134 | − | 0.648019i | 0.616063 | − | 0.787697i | \(-0.288727\pi\) |
−0.990197 | + | 0.139678i | \(0.955393\pi\) | |||||||
\(98\) | −5.89053 | − | 10.2027i | −0.595033 | − | 1.03063i | ||||
\(99\) | −1.52481 | + | 2.64106i | −0.153250 | + | 0.265436i | ||||
\(100\) | 7.02481 | + | 12.1673i | 0.702481 | + | 1.21673i | ||||
\(101\) | −1.08512 | + | 1.87949i | −0.107974 | + | 0.187016i | −0.914949 | − | 0.403569i | \(-0.867770\pi\) |
0.806976 | + | 0.590585i | \(0.201103\pi\) | |||||||
\(102\) | 6.41147 | 0.634831 | ||||||||
\(103\) | −12.4757 | −1.22926 | −0.614631 | − | 0.788815i | \(-0.710695\pi\) | ||||
−0.614631 | + | 0.788815i | \(0.710695\pi\) | |||||||
\(104\) | 8.29473 | − | 14.3669i | 0.813365 | − | 1.40879i | ||||
\(105\) | −0.673648 | + | 1.16679i | −0.0657413 | + | 0.113867i | ||||
\(106\) | −7.45336 | −0.723935 | ||||||||
\(107\) | −6.68004 | −0.645784 | −0.322892 | − | 0.946436i | \(-0.604655\pi\) | ||||
−0.322892 | + | 0.946436i | \(0.604655\pi\) | |||||||
\(108\) | −8.02481 | + | 13.8994i | −0.772188 | + | 1.33747i | ||||
\(109\) | −4.72668 | − | 8.18685i | −0.452734 | − | 0.784158i | 0.545821 | − | 0.837902i | \(-0.316218\pi\) |
−0.998555 | + | 0.0537437i | \(0.982885\pi\) | |||||||
\(110\) | 2.02094 | − | 3.50038i | 0.192690 | − | 0.333748i | ||||
\(111\) | −1.34002 | − | 2.32099i | −0.127189 | − | 0.220298i | ||||
\(112\) | −5.08512 | − | 8.80769i | −0.480499 | − | 0.832248i | ||||
\(113\) | 1.31046 | 0.123278 | 0.0616388 | − | 0.998099i | \(-0.480367\pi\) | ||||
0.0616388 | + | 0.998099i | \(0.480367\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.82295 | 0.636243 | ||||||||
\(116\) | 10.2626 | + | 17.7754i | 0.952862 | + | 1.65041i | ||||
\(117\) | 3.49660 | + | 6.05628i | 0.323260 | + | 0.559904i | ||||
\(118\) | −4.98293 | + | 8.63068i | −0.458716 | + | 0.794519i | ||||
\(119\) | −2.97178 | − | 5.14728i | −0.272423 | − | 0.471850i | ||||
\(120\) | 2.68479 | − | 4.65020i | 0.245087 | − | 0.424503i | ||||
\(121\) | −9.59627 | −0.872388 | ||||||||
\(122\) | 11.4388 | 1.03562 | ||||||||
\(123\) | −3.25877 | + | 5.64436i | −0.293833 | + | 0.508934i | ||||
\(124\) | 8.46451 | − | 14.6610i | 0.760135 | − | 1.31659i | ||||
\(125\) | 11.0273 | 0.986315 | ||||||||
\(126\) | 9.98545 | 0.889575 | ||||||||
\(127\) | 7.25150 | − | 12.5600i | 0.643466 | − | 1.11452i | −0.341187 | − | 0.939995i | \(-0.610829\pi\) |
0.984653 | − | 0.174521i | \(-0.0558377\pi\) | |||||||
\(128\) | −6.67024 | − | 11.5532i | −0.589572 | − | 1.02117i | ||||
\(129\) | −2.84002 | + | 4.91906i | −0.250050 | + | 0.433099i | ||||
\(130\) | −4.63429 | − | 8.02682i | −0.406454 | − | 0.703998i | ||||
\(131\) | 9.90420 | + | 17.1546i | 0.865334 | + | 1.49880i | 0.866715 | + | 0.498803i | \(0.166227\pi\) |
−0.00138118 | + | 0.999999i | \(0.500440\pi\) | |||||||
\(132\) | 3.41147 | 0.296931 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 9.84255 | 0.850267 | ||||||||
\(135\) | 2.45084 | + | 4.24497i | 0.210934 | + | 0.365349i | ||||
\(136\) | 11.8439 | + | 20.5142i | 1.01561 | + | 1.75908i | ||||
\(137\) | −5.10220 | + | 8.83726i | −0.435910 | + | 0.755018i | −0.997369 | − | 0.0724859i | \(-0.976907\pi\) |
0.561459 | + | 0.827504i | \(0.310240\pi\) | |||||||
\(138\) | 4.18479 | + | 7.24827i | 0.356233 | + | 0.617014i | ||||
\(139\) | 0.830222 | − | 1.43799i | 0.0704185 | − | 0.121968i | −0.828666 | − | 0.559743i | \(-0.810900\pi\) |
0.899085 | + | 0.437775i | \(0.144233\pi\) | |||||||
\(140\) | −9.10607 | −0.769603 | ||||||||
\(141\) | −0.374638 | −0.0315502 | ||||||||
\(142\) | −8.78106 | + | 15.2092i | −0.736890 | + | 1.27633i | ||||
\(143\) | 1.60947 | − | 2.78768i | 0.134591 | − | 0.233118i | ||||
\(144\) | −17.0865 | −1.42387 | ||||||||
\(145\) | 6.26857 | 0.520576 | ||||||||
\(146\) | 7.75877 | − | 13.4386i | 0.642120 | − | 1.11219i | ||||
\(147\) | −1.51842 | − | 2.62998i | −0.125237 | − | 0.216917i | ||||
\(148\) | 9.05690 | − | 15.6870i | 0.744473 | − | 1.28946i | ||||
\(149\) | −5.60354 | − | 9.70562i | −0.459060 | − | 0.795115i | 0.539852 | − | 0.841760i | \(-0.318480\pi\) |
−0.998912 | + | 0.0466451i | \(0.985147\pi\) | |||||||
\(150\) | 2.63176 | + | 4.55834i | 0.214882 | + | 0.372187i | ||||
\(151\) | −11.0419 | −0.898576 | −0.449288 | − | 0.893387i | \(-0.648322\pi\) | ||||
−0.449288 | + | 0.893387i | \(0.648322\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −9.98545 | −0.807276 | ||||||||
\(154\) | −2.29813 | − | 3.98048i | −0.185189 | − | 0.320757i | ||||
\(155\) | −2.58512 | − | 4.47756i | −0.207642 | − | 0.359647i | ||||
\(156\) | 3.91147 | − | 6.77487i | 0.313169 | − | 0.542424i | ||||
\(157\) | −5.49660 | − | 9.52038i | −0.438676 | − | 0.759809i | 0.558912 | − | 0.829227i | \(-0.311219\pi\) |
−0.997588 | + | 0.0694179i | \(0.977886\pi\) | |||||||
\(158\) | 12.4179 | − | 21.5084i | 0.987913 | − | 1.71112i | ||||
\(159\) | −1.92127 | −0.152367 | ||||||||
\(160\) | 6.19253 | 0.489563 | ||||||||
\(161\) | 3.87939 | − | 6.71929i | 0.305738 | − | 0.529554i | ||||
\(162\) | 6.76991 | − | 11.7258i | 0.531895 | − | 0.921269i | ||||
\(163\) | −6.33275 | −0.496019 | −0.248010 | − | 0.968758i | \(-0.579776\pi\) | ||||
−0.248010 | + | 0.968758i | \(0.579776\pi\) | |||||||
\(164\) | −44.0506 | −3.43977 | ||||||||
\(165\) | 0.520945 | − | 0.902302i | 0.0405555 | − | 0.0702441i | ||||
\(166\) | 15.5954 | + | 27.0120i | 1.21044 | + | 2.09654i | ||||
\(167\) | 6.88919 | − | 11.9324i | 0.533101 | − | 0.923358i | −0.466152 | − | 0.884705i | \(-0.654360\pi\) |
0.999253 | − | 0.0386534i | \(-0.0123068\pi\) | |||||||
\(168\) | −3.05303 | − | 5.28801i | −0.235547 | − | 0.407979i | ||||
\(169\) | 2.80928 | + | 4.86581i | 0.216098 | + | 0.374293i | ||||
\(170\) | 13.2344 | 1.01503 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −38.3901 | −2.92722 | ||||||||
\(173\) | −12.6236 | − | 21.8647i | −0.959755 | − | 1.66234i | −0.723091 | − | 0.690753i | \(-0.757279\pi\) |
−0.236665 | − | 0.971591i | \(-0.576054\pi\) | |||||||
\(174\) | 3.84477 | + | 6.65934i | 0.291471 | + | 0.504843i | ||||
\(175\) | 2.43969 | − | 4.22567i | 0.184423 | − | 0.319431i | ||||
\(176\) | 3.93242 | + | 6.81115i | 0.296417 | + | 0.513410i | ||||
\(177\) | −1.28446 | + | 2.22475i | −0.0965461 | + | 0.167223i | ||||
\(178\) | 6.14290 | 0.460430 | ||||||||
\(179\) | 5.83069 | 0.435806 | 0.217903 | − | 0.975970i | \(-0.430078\pi\) | ||||
0.217903 | + | 0.975970i | \(0.430078\pi\) | |||||||
\(180\) | −7.64930 | + | 13.2490i | −0.570145 | + | 0.987520i | ||||
\(181\) | −6.78106 | + | 11.7451i | −0.504032 | + | 0.873009i | 0.495957 | + | 0.868347i | \(0.334817\pi\) |
−0.999989 | + | 0.00466221i | \(0.998516\pi\) | |||||||
\(182\) | −10.5398 | −0.781264 | ||||||||
\(183\) | 2.94862 | 0.217968 | ||||||||
\(184\) | −15.4611 | + | 26.7794i | −1.13981 | + | 1.97420i | ||||
\(185\) | −2.76604 | − | 4.79093i | −0.203364 | − | 0.352236i | ||||
\(186\) | 3.17112 | − | 5.49254i | 0.232518 | − | 0.402733i | ||||
\(187\) | 2.29813 | + | 3.98048i | 0.168056 | + | 0.291082i | ||||
\(188\) | −1.26604 | − | 2.19285i | −0.0923358 | − | 0.159930i | ||||
\(189\) | 5.57398 | 0.405447 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −10.2841 | −0.744128 | −0.372064 | − | 0.928207i | \(-0.621350\pi\) | ||||
−0.372064 | + | 0.928207i | \(0.621350\pi\) | |||||||
\(192\) | −0.534615 | − | 0.925981i | −0.0385825 | − | 0.0668269i | ||||
\(193\) | −6.90033 | − | 11.9517i | −0.496697 | − | 0.860304i | 0.503296 | − | 0.864114i | \(-0.332120\pi\) |
−0.999993 | + | 0.00381024i | \(0.998787\pi\) | |||||||
\(194\) | 9.33022 | − | 16.1604i | 0.669871 | − | 1.16025i | ||||
\(195\) | −1.19459 | − | 2.06910i | −0.0855466 | − | 0.148171i | ||||
\(196\) | 10.2626 | − | 17.7754i | 0.733046 | − | 1.26967i | ||||
\(197\) | −7.94087 | −0.565764 | −0.282882 | − | 0.959155i | \(-0.591290\pi\) | ||||
−0.282882 | + | 0.959155i | \(0.591290\pi\) | |||||||
\(198\) | −7.72193 | −0.548774 | ||||||||
\(199\) | −13.5175 | + | 23.4131i | −0.958233 | + | 1.65971i | −0.231443 | + | 0.972848i | \(0.574345\pi\) |
−0.726790 | + | 0.686860i | \(0.758989\pi\) | |||||||
\(200\) | −9.72328 | + | 16.8412i | −0.687540 | + | 1.19085i | ||||
\(201\) | 2.53714 | 0.178956 | ||||||||
\(202\) | −5.49525 | −0.386645 | ||||||||
\(203\) | 3.56418 | − | 6.17334i | 0.250156 | − | 0.433283i | ||||
\(204\) | 5.58512 | + | 9.67372i | 0.391037 | + | 0.677296i | ||||
\(205\) | −6.72668 | + | 11.6510i | −0.469812 | + | 0.813738i | ||||
\(206\) | −15.7947 | − | 27.3573i | −1.10047 | − | 1.90607i | ||||
\(207\) | −6.51754 | − | 11.2887i | −0.453000 | − | 0.784620i | ||||
\(208\) | 18.0351 | 1.25051 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −3.41147 | −0.235414 | ||||||||
\(211\) | 4.03596 | + | 6.99049i | 0.277847 | + | 0.481245i | 0.970849 | − | 0.239690i | \(-0.0770459\pi\) |
−0.693003 | + | 0.720935i | \(0.743713\pi\) | |||||||
\(212\) | −6.49273 | − | 11.2457i | −0.445922 | − | 0.772360i | ||||
\(213\) | −2.26352 | + | 3.92053i | −0.155094 | + | 0.268630i | ||||
\(214\) | −8.45723 | − | 14.6484i | −0.578125 | − | 1.00134i | ||||
\(215\) | −5.86231 | + | 10.1538i | −0.399806 | + | 0.692485i | ||||
\(216\) | −22.2148 | −1.51153 | ||||||||
\(217\) | −5.87939 | −0.399119 | ||||||||
\(218\) | 11.9684 | − | 20.7298i | 0.810601 | − | 1.40400i | ||||
\(219\) | 2.00000 | − | 3.46410i | 0.135147 | − | 0.234082i | ||||
\(220\) | 7.04189 | 0.474764 | ||||||||
\(221\) | 10.5398 | 0.708986 | ||||||||
\(222\) | 3.39306 | − | 5.87695i | 0.227727 | − | 0.394435i | ||||
\(223\) | 7.73783 | + | 13.4023i | 0.518163 | + | 0.897485i | 0.999777 | + | 0.0211016i | \(0.00671733\pi\) |
−0.481614 | + | 0.876383i | \(0.659949\pi\) | |||||||
\(224\) | 3.52094 | − | 6.09845i | 0.235253 | − | 0.407470i | ||||
\(225\) | −4.09879 | − | 7.09932i | −0.273253 | − | 0.473288i | ||||
\(226\) | 1.65910 | + | 2.87365i | 0.110362 | + | 0.191152i | ||||
\(227\) | 9.87258 | 0.655266 | 0.327633 | − | 0.944805i | \(-0.393749\pi\) | ||||
0.327633 | + | 0.944805i | \(0.393749\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 20.1189 | 1.32949 | 0.664746 | − | 0.747070i | \(-0.268540\pi\) | ||||
0.664746 | + | 0.747070i | \(0.268540\pi\) | |||||||
\(230\) | 8.63816 | + | 14.9617i | 0.569583 | + | 0.986547i | ||||
\(231\) | −0.592396 | − | 1.02606i | −0.0389768 | − | 0.0675098i | ||||
\(232\) | −14.2049 | + | 24.6035i | −0.932595 | + | 1.61530i | ||||
\(233\) | −1.76739 | − | 3.06121i | −0.115785 | − | 0.200546i | 0.802308 | − | 0.596910i | \(-0.203605\pi\) |
−0.918093 | + | 0.396364i | \(0.870272\pi\) | |||||||
\(234\) | −8.85369 | + | 15.3350i | −0.578784 | + | 1.00248i | ||||
\(235\) | −0.773318 | −0.0504457 | ||||||||
\(236\) | −17.3628 | −1.13022 | ||||||||
\(237\) | 3.20099 | − | 5.54428i | 0.207927 | − | 0.360139i | ||||
\(238\) | 7.52481 | − | 13.0334i | 0.487761 | − | 0.844827i | ||||
\(239\) | 11.9736 | 0.774507 | 0.387254 | − | 0.921973i | \(-0.373424\pi\) | ||||
0.387254 | + | 0.921973i | \(0.373424\pi\) | |||||||
\(240\) | 5.83750 | 0.376809 | ||||||||
\(241\) | −6.45084 | + | 11.1732i | −0.415535 | + | 0.719728i | −0.995484 | − | 0.0949248i | \(-0.969739\pi\) |
0.579950 | + | 0.814652i | \(0.303072\pi\) | |||||||
\(242\) | −12.1493 | − | 21.0432i | −0.780987 | − | 1.35271i | ||||
\(243\) | 7.20233 | − | 12.4748i | 0.462030 | − | 0.800259i | ||||
\(244\) | 9.96451 | + | 17.2590i | 0.637912 | + | 1.10490i | ||||
\(245\) | −3.13429 | − | 5.42874i | −0.200242 | − | 0.346830i | ||||
\(246\) | −16.5030 | −1.05219 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 23.4320 | 1.48793 | ||||||||
\(249\) | 4.02007 | + | 6.96296i | 0.254761 | + | 0.441260i | ||||
\(250\) | 13.9611 | + | 24.1813i | 0.882978 | + | 1.52936i | ||||
\(251\) | −7.18139 | + | 12.4385i | −0.453285 | + | 0.785113i | −0.998588 | − | 0.0531262i | \(-0.983081\pi\) |
0.545303 | + | 0.838239i | \(0.316415\pi\) | |||||||
\(252\) | 8.69846 | + | 15.0662i | 0.547952 | + | 0.949080i | ||||
\(253\) | −3.00000 | + | 5.19615i | −0.188608 | + | 0.326679i | ||||
\(254\) | 36.7229 | 2.30420 | ||||||||
\(255\) | 3.41147 | 0.213635 | ||||||||
\(256\) | 15.2515 | − | 26.4164i | 0.953219 | − | 1.65102i | ||||
\(257\) | −2.48886 | + | 4.31082i | −0.155251 | + | 0.268902i | −0.933150 | − | 0.359487i | \(-0.882952\pi\) |
0.777900 | + | 0.628388i | \(0.216285\pi\) | |||||||
\(258\) | −14.3824 | −0.895408 | ||||||||
\(259\) | −6.29086 | −0.390895 | ||||||||
\(260\) | 8.07398 | − | 13.9845i | 0.500727 | − | 0.867284i | ||||
\(261\) | −5.98798 | − | 10.3715i | −0.370647 | − | 0.641979i | ||||
\(262\) | −25.0783 | + | 43.4369i | −1.54934 | + | 2.68354i | ||||
\(263\) | 12.0214 | + | 20.8217i | 0.741272 | + | 1.28392i | 0.951916 | + | 0.306358i | \(0.0991105\pi\) |
−0.210644 | + | 0.977563i | \(0.567556\pi\) | |||||||
\(264\) | 2.36097 | + | 4.08931i | 0.145307 | + | 0.251680i | ||||
\(265\) | −3.96585 | −0.243620 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 1.58347 | 0.0969070 | ||||||||
\(268\) | 8.57398 | + | 14.8506i | 0.523739 | + | 0.907143i | ||||
\(269\) | 6.55556 | + | 11.3546i | 0.399700 | + | 0.692300i | 0.993689 | − | 0.112173i | \(-0.0357811\pi\) |
−0.593989 | + | 0.804473i | \(0.702448\pi\) | |||||||
\(270\) | −6.20574 | + | 10.7487i | −0.377669 | + | 0.654142i | ||||
\(271\) | 13.2849 | + | 23.0102i | 0.807002 | + | 1.39777i | 0.914931 | + | 0.403610i | \(0.132245\pi\) |
−0.107929 | + | 0.994159i | \(0.534422\pi\) | |||||||
\(272\) | −12.8760 | + | 22.3019i | −0.780721 | + | 1.35225i | ||||
\(273\) | −2.71688 | −0.164433 | ||||||||
\(274\) | −25.8384 | −1.56096 | ||||||||
\(275\) | −1.88666 | + | 3.26779i | −0.113770 | + | 0.197055i | ||||
\(276\) | −7.29086 | + | 12.6281i | −0.438858 | + | 0.760125i | ||||
\(277\) | −16.5107 | −0.992034 | −0.496017 | − | 0.868313i | \(-0.665205\pi\) | ||||
−0.496017 | + | 0.868313i | \(0.665205\pi\) | |||||||
\(278\) | 4.20439 | 0.252163 | ||||||||
\(279\) | −4.93882 | + | 8.55428i | −0.295679 | + | 0.512131i | ||||
\(280\) | −6.30200 | − | 10.9154i | −0.376617 | − | 0.652319i | ||||
\(281\) | 9.69506 | − | 16.7923i | 0.578359 | − | 1.00175i | −0.417309 | − | 0.908765i | \(-0.637027\pi\) |
0.995668 | − | 0.0929821i | \(-0.0296399\pi\) | |||||||
\(282\) | −0.474308 | − | 0.821525i | −0.0282446 | − | 0.0489211i | ||||
\(283\) | 5.65523 | + | 9.79515i | 0.336169 | + | 0.582261i | 0.983709 | − | 0.179770i | \(-0.0575355\pi\) |
−0.647540 | + | 0.762031i | \(0.724202\pi\) | |||||||
\(284\) | −30.5972 | −1.81561 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 8.15064 | 0.481958 | ||||||||
\(287\) | 7.64930 | + | 13.2490i | 0.451524 | + | 0.782062i | ||||
\(288\) | −5.91534 | − | 10.2457i | −0.348565 | − | 0.603732i | ||||
\(289\) | 0.975185 | − | 1.68907i | 0.0573638 | − | 0.0993571i | ||||
\(290\) | 7.93629 | + | 13.7461i | 0.466035 | + | 0.807196i | ||||
\(291\) | 2.40508 | − | 4.16572i | 0.140988 | − | 0.244199i | ||||
\(292\) | 27.0351 | 1.58211 | ||||||||
\(293\) | 3.89899 | 0.227781 | 0.113891 | − | 0.993493i | \(-0.463669\pi\) | ||||
0.113891 | + | 0.993493i | \(0.463669\pi\) | |||||||
\(294\) | 3.84477 | − | 6.65934i | 0.224232 | − | 0.388380i | ||||
\(295\) | −2.65136 | + | 4.59229i | −0.154368 | + | 0.267373i | ||||
\(296\) | 25.0719 | 1.45728 | ||||||||
\(297\) | −4.31046 | −0.250118 | ||||||||
\(298\) | 14.1887 | − | 24.5755i | 0.821927 | − | 1.42362i | ||||
\(299\) | 6.87939 | + | 11.9154i | 0.397845 | + | 0.689088i | ||||
\(300\) | −4.58512 | + | 7.94166i | −0.264722 | + | 0.458512i | ||||
\(301\) | 6.66637 | + | 11.5465i | 0.384243 | + | 0.665529i | ||||
\(302\) | −13.9795 | − | 24.2132i | −0.804431 | − | 1.39332i | ||||
\(303\) | −1.41653 | −0.0813773 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 6.08647 | 0.348510 | ||||||||
\(306\) | −12.6420 | − | 21.8966i | −0.722697 | − | 1.25175i | ||||
\(307\) | −11.5876 | − | 20.0704i | −0.661342 | − | 1.14548i | −0.980263 | − | 0.197697i | \(-0.936654\pi\) |
0.318921 | − | 0.947781i | \(-0.396679\pi\) | |||||||
\(308\) | 4.00387 | − | 6.93491i | 0.228142 | − | 0.395153i | ||||
\(309\) | −4.07145 | − | 7.05196i | −0.231617 | − | 0.401172i | ||||
\(310\) | 6.54576 | − | 11.3376i | 0.371774 | − | 0.643932i | ||||
\(311\) | −3.46110 | −0.196261 | −0.0981306 | − | 0.995174i | \(-0.531286\pi\) | ||||
−0.0981306 | + | 0.995174i | \(0.531286\pi\) | |||||||
\(312\) | 10.8280 | 0.613015 | ||||||||
\(313\) | 11.4449 | − | 19.8232i | 0.646904 | − | 1.12047i | −0.336954 | − | 0.941521i | \(-0.609397\pi\) |
0.983858 | − | 0.178950i | \(-0.0572701\pi\) | |||||||
\(314\) | 13.9179 | − | 24.1065i | 0.785431 | − | 1.36041i | ||||
\(315\) | 5.31315 | 0.299362 | ||||||||
\(316\) | 43.2695 | 2.43410 | ||||||||
\(317\) | −13.0603 | + | 22.6211i | −0.733540 | + | 1.27053i | 0.221821 | + | 0.975087i | \(0.428800\pi\) |
−0.955361 | + | 0.295441i | \(0.904533\pi\) | |||||||
\(318\) | −2.43242 | − | 4.21307i | −0.136403 | − | 0.236257i | ||||
\(319\) | −2.75624 | + | 4.77396i | −0.154320 | + | 0.267290i | ||||
\(320\) | −1.10354 | − | 1.91139i | −0.0616898 | − | 0.106850i | ||||
\(321\) | −2.18004 | − | 3.77595i | −0.121678 | − | 0.210753i | ||||
\(322\) | 19.6459 | 1.09482 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 23.5895 | 1.31053 | ||||||||
\(325\) | 4.32635 | + | 7.49346i | 0.239983 | + | 0.415662i | ||||
\(326\) | −8.01754 | − | 13.8868i | −0.444051 | − | 0.769118i | ||||
\(327\) | 3.08512 | − | 5.34359i | 0.170608 | − | 0.295501i | ||||
\(328\) | −30.4859 | − | 52.8032i | −1.68330 | − | 2.91557i | ||||
\(329\) | −0.439693 | + | 0.761570i | −0.0242410 | + | 0.0419867i | ||||
\(330\) | 2.63816 | 0.145226 | ||||||||
\(331\) | 19.0446 | 1.04678 | 0.523392 | − | 0.852092i | \(-0.324666\pi\) | ||||
0.523392 | + | 0.852092i | \(0.324666\pi\) | |||||||
\(332\) | −27.1707 | + | 47.0611i | −1.49119 | + | 2.58281i | ||||
\(333\) | −5.28446 | + | 9.15296i | −0.289587 | + | 0.501579i | ||||
\(334\) | 34.8881 | 1.90899 | ||||||||
\(335\) | 5.23711 | 0.286134 | ||||||||
\(336\) | 3.31908 | − | 5.74881i | 0.181071 | − | 0.313623i | ||||
\(337\) | −0.850700 | − | 1.47346i | −0.0463406 | − | 0.0802642i | 0.841925 | − | 0.539595i | \(-0.181423\pi\) |
−0.888265 | + | 0.459331i | \(0.848089\pi\) | |||||||
\(338\) | −7.11334 | + | 12.3207i | −0.386915 | + | 0.670156i | ||||
\(339\) | 0.427671 | + | 0.740748i | 0.0232279 | + | 0.0402319i | ||||
\(340\) | 11.5287 | + | 19.9683i | 0.625231 | + | 1.08293i | ||||
\(341\) | 4.54664 | 0.246214 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.8530 | −0.963970 | ||||||||
\(344\) | −26.5685 | − | 46.0180i | −1.43248 | − | 2.48113i | ||||
\(345\) | 2.22668 | + | 3.85673i | 0.119881 | + | 0.207639i | ||||
\(346\) | 31.9641 | − | 55.3634i | 1.71840 | − | 2.97636i | ||||
\(347\) | 2.45084 | + | 4.24497i | 0.131568 | + | 0.227882i | 0.924281 | − | 0.381713i | \(-0.124666\pi\) |
−0.792713 | + | 0.609595i | \(0.791332\pi\) | |||||||
\(348\) | −6.69846 | + | 11.6021i | −0.359075 | + | 0.621937i | ||||
\(349\) | −28.1293 | −1.50573 | −0.752863 | − | 0.658177i | \(-0.771328\pi\) | ||||
−0.752863 | + | 0.658177i | \(0.771328\pi\) | |||||||
\(350\) | 12.3550 | 0.660405 | ||||||||
\(351\) | −4.94222 | + | 8.56017i | −0.263796 | + | 0.456908i | ||||
\(352\) | −2.72281 | + | 4.71605i | −0.145126 | + | 0.251366i | ||||
\(353\) | −8.31996 | −0.442827 | −0.221413 | − | 0.975180i | \(-0.571067\pi\) | ||||
−0.221413 | + | 0.975180i | \(0.571067\pi\) | |||||||
\(354\) | −6.50475 | −0.345723 | ||||||||
\(355\) | −4.67230 | + | 8.09267i | −0.247980 | + | 0.429514i | ||||
\(356\) | 5.35117 | + | 9.26849i | 0.283611 | + | 0.491229i | ||||
\(357\) | 1.93969 | − | 3.35965i | 0.102659 | − | 0.177811i | ||||
\(358\) | 7.38191 | + | 12.7858i | 0.390146 | + | 0.675753i | ||||
\(359\) | −12.4645 | − | 21.5892i | −0.657852 | − | 1.13943i | −0.981171 | − | 0.193142i | \(-0.938132\pi\) |
0.323319 | − | 0.946290i | \(-0.395201\pi\) | |||||||
\(360\) | −21.1753 | −1.11604 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | −34.3405 | −1.80490 | ||||||||
\(363\) | −3.13176 | − | 5.42437i | −0.164375 | − | 0.284705i | ||||
\(364\) | −9.18139 | − | 15.9026i | −0.481236 | − | 0.833524i | ||||
\(365\) | 4.12836 | − | 7.15052i | 0.216088 | − | 0.374275i | ||||
\(366\) | 3.73308 | + | 6.46588i | 0.195131 | + | 0.337977i | ||||
\(367\) | 1.29292 | − | 2.23940i | 0.0674898 | − | 0.116896i | −0.830306 | − | 0.557308i | \(-0.811834\pi\) |
0.897796 | + | 0.440412i | \(0.145168\pi\) | |||||||
\(368\) | −33.6168 | −1.75240 | ||||||||
\(369\) | 25.7023 | 1.33801 | ||||||||
\(370\) | 7.00387 | − | 12.1311i | 0.364114 | − | 0.630664i | ||||
\(371\) | −2.25490 | + | 3.90560i | −0.117069 | + | 0.202769i | ||||
\(372\) | 11.0496 | 0.572897 | ||||||||
\(373\) | −23.3833 | −1.21074 | −0.605371 | − | 0.795943i | \(-0.706975\pi\) | ||||
−0.605371 | + | 0.795943i | \(0.706975\pi\) | |||||||
\(374\) | −5.81908 | + | 10.0789i | −0.300897 | + | 0.521170i | ||||
\(375\) | 3.59879 | + | 6.23329i | 0.185841 | + | 0.321886i | ||||
\(376\) | 1.75237 | − | 3.03520i | 0.0903718 | − | 0.156529i | ||||
\(377\) | 6.32042 | + | 10.9473i | 0.325518 | + | 0.563814i | ||||
\(378\) | 7.05690 | + | 12.2229i | 0.362968 | + | 0.628679i | ||||
\(379\) | 25.4388 | 1.30670 | 0.653352 | − | 0.757054i | \(-0.273362\pi\) | ||||
0.653352 | + | 0.757054i | \(0.273362\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 9.46616 | 0.484966 | ||||||||
\(382\) | −13.0201 | − | 22.5514i | −0.666165 | − | 1.15383i | ||||
\(383\) | 13.7404 | + | 23.7990i | 0.702099 | + | 1.21607i | 0.967728 | + | 0.251996i | \(0.0810870\pi\) |
−0.265629 | + | 0.964075i | \(0.585580\pi\) | |||||||
\(384\) | 4.35369 | − | 7.54082i | 0.222173 | − | 0.384816i | ||||
\(385\) | −1.22281 | − | 2.11797i | −0.0623202 | − | 0.107942i | ||||
\(386\) | 17.4722 | − | 30.2628i | 0.889314 | − | 1.54034i | ||||
\(387\) | 22.3996 | 1.13864 | ||||||||
\(388\) | 32.5107 | 1.65048 | ||||||||
\(389\) | 1.67112 | − | 2.89447i | 0.0847292 | − | 0.146755i | −0.820547 | − | 0.571580i | \(-0.806331\pi\) |
0.905276 | + | 0.424824i | \(0.139664\pi\) | |||||||
\(390\) | 3.02481 | − | 5.23913i | 0.153167 | − | 0.265294i | ||||
\(391\) | −19.6459 | −0.993536 | ||||||||
\(392\) | 28.4097 | 1.43491 | ||||||||
\(393\) | −6.46451 | + | 11.1969i | −0.326091 | + | 0.564807i | ||||
\(394\) | −10.0535 | − | 17.4132i | −0.506488 | − | 0.877263i | ||||
\(395\) | 6.60741 | − | 11.4444i | 0.332455 | − | 0.575829i | ||||
\(396\) | −6.72668 | − | 11.6510i | −0.338028 | − | 0.585482i | ||||
\(397\) | 6.56165 | + | 11.3651i | 0.329320 | + | 0.570399i | 0.982377 | − | 0.186910i | \(-0.0598472\pi\) |
−0.653057 | + | 0.757309i | \(0.726514\pi\) | |||||||
\(398\) | −68.4552 | −3.43135 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −21.1411 | −1.05706 | ||||||||
\(401\) | −8.55690 | − | 14.8210i | −0.427311 | − | 0.740125i | 0.569322 | − | 0.822115i | \(-0.307206\pi\) |
−0.996633 | + | 0.0819897i | \(0.973873\pi\) | |||||||
\(402\) | 3.21213 | + | 5.56358i | 0.160207 | + | 0.277486i | ||||
\(403\) | 5.21301 | − | 9.02920i | 0.259679 | − | 0.449776i | ||||
\(404\) | −4.78699 | − | 8.29131i | −0.238162 | − | 0.412508i | ||||
\(405\) | 3.60220 | − | 6.23919i | 0.178995 | − | 0.310028i | ||||
\(406\) | 18.0496 | 0.895788 | ||||||||
\(407\) | 4.86484 | 0.241141 | ||||||||
\(408\) | −7.73055 | + | 13.3897i | −0.382719 | + | 0.662889i | ||||
\(409\) | 4.39899 | − | 7.61927i | 0.217516 | − | 0.376748i | −0.736532 | − | 0.676403i | \(-0.763538\pi\) |
0.954048 | + | 0.299654i | \(0.0968713\pi\) | |||||||
\(410\) | −34.0651 | −1.68236 | ||||||||
\(411\) | −6.66044 | −0.328535 | ||||||||
\(412\) | 27.5180 | − | 47.6626i | 1.35571 | − | 2.34817i | ||||
\(413\) | 3.01501 | + | 5.22216i | 0.148359 | + | 0.256966i | ||||
\(414\) | 16.5030 | − | 28.5840i | 0.811078 | − | 1.40483i | ||||
\(415\) | 8.29813 | + | 14.3728i | 0.407339 | + | 0.705532i | ||||
\(416\) | 6.24376 | + | 10.8145i | 0.306125 | + | 0.530225i | ||||
\(417\) | 1.08378 | 0.0530728 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 6.84018 | 0.334165 | 0.167082 | − | 0.985943i | \(-0.446565\pi\) | ||||
0.167082 | + | 0.985943i | \(0.446565\pi\) | |||||||
\(420\) | −2.97178 | − | 5.14728i | −0.145008 | − | 0.251161i | ||||
\(421\) | 2.41147 | + | 4.17680i | 0.117528 | + | 0.203565i | 0.918787 | − | 0.394752i | \(-0.129170\pi\) |
−0.801259 | + | 0.598317i | \(0.795836\pi\) | |||||||
\(422\) | −10.2194 | + | 17.7005i | −0.497473 | + | 0.861648i | ||||
\(423\) | 0.738703 | + | 1.27947i | 0.0359170 | + | 0.0622100i | ||||
\(424\) | 8.98680 | − | 15.5656i | 0.436437 | − | 0.755932i | ||||
\(425\) | −12.3550 | −0.599307 | ||||||||
\(426\) | −11.4629 | −0.555377 | ||||||||
\(427\) | 3.46064 | − | 5.99400i | 0.167472 | − | 0.290070i | ||||
\(428\) | 14.7344 | − | 25.5208i | 0.712215 | − | 1.23359i | ||||
\(429\) | 2.10101 | 0.101438 | ||||||||
\(430\) | −29.6878 | −1.43167 | ||||||||
\(431\) | −0.651826 | + | 1.12900i | −0.0313974 | + | 0.0543818i | −0.881297 | − | 0.472563i | \(-0.843329\pi\) |
0.849900 | + | 0.526944i | \(0.176662\pi\) | |||||||
\(432\) | −12.0753 | − | 20.9151i | −0.580974 | − | 1.00628i | ||||
\(433\) | −9.91194 | + | 17.1680i | −0.476337 | + | 0.825041i | −0.999632 | − | 0.0271109i | \(-0.991369\pi\) |
0.523295 | + | 0.852152i | \(0.324703\pi\) | |||||||
\(434\) | −7.44356 | − | 12.8926i | −0.357302 | − | 0.618866i | ||||
\(435\) | 2.04576 | + | 3.54336i | 0.0980867 | + | 0.169891i | ||||
\(436\) | 41.7033 | 1.99722 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 10.1284 | 0.483952 | ||||||||
\(439\) | 17.2836 | + | 29.9360i | 0.824901 | + | 1.42877i | 0.901995 | + | 0.431746i | \(0.142102\pi\) |
−0.0770948 | + | 0.997024i | \(0.524564\pi\) | |||||||
\(440\) | 4.87346 | + | 8.44107i | 0.232333 | + | 0.402412i | ||||
\(441\) | −5.98798 | + | 10.3715i | −0.285142 | + | 0.493880i | ||||
\(442\) | 13.3439 | + | 23.1123i | 0.634704 | + | 1.09934i | ||||
\(443\) | −8.50505 | + | 14.7312i | −0.404087 | + | 0.699900i | −0.994215 | − | 0.107410i | \(-0.965744\pi\) |
0.590128 | + | 0.807310i | \(0.299077\pi\) | |||||||
\(444\) | 11.8229 | 0.561092 | ||||||||
\(445\) | 3.26857 | 0.154945 | ||||||||
\(446\) | −19.5929 | + | 33.9358i | −0.927749 | + | 1.60691i | ||||
\(447\) | 3.65745 | − | 6.33489i | 0.172992 | − | 0.299630i | ||||
\(448\) | −2.50980 | −0.118577 | ||||||||
\(449\) | 37.4097 | 1.76547 | 0.882737 | − | 0.469868i | \(-0.155698\pi\) | ||||
0.882737 | + | 0.469868i | \(0.155698\pi\) | |||||||
\(450\) | 10.3785 | − | 17.9761i | 0.489248 | − | 0.847402i | ||||
\(451\) | −5.91534 | − | 10.2457i | −0.278543 | − | 0.482450i | ||||
\(452\) | −2.89053 | + | 5.00654i | −0.135959 | + | 0.235488i | ||||
\(453\) | −3.60354 | − | 6.24152i | −0.169309 | − | 0.293252i | ||||
\(454\) | 12.4991 | + | 21.6491i | 0.586613 | + | 1.01604i | ||||
\(455\) | −5.60813 | −0.262913 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.11112 | 0.426200 | 0.213100 | − | 0.977030i | \(-0.431644\pi\) | ||||
0.213100 | + | 0.977030i | \(0.431644\pi\) | |||||||
\(458\) | 25.4714 | + | 44.1177i | 1.19020 | + | 2.06149i | ||||
\(459\) | −7.05690 | − | 12.2229i | −0.329388 | − | 0.570517i | ||||
\(460\) | −15.0496 | + | 26.0667i | −0.701693 | + | 1.21537i | ||||
\(461\) | 12.2242 | + | 21.1729i | 0.569336 | + | 0.986118i | 0.996632 | + | 0.0820066i | \(0.0261329\pi\) |
−0.427296 | + | 0.904112i | \(0.640534\pi\) | |||||||
\(462\) | 1.50000 | − | 2.59808i | 0.0697863 | − | 0.120873i | ||||
\(463\) | −0.250725 | −0.0116522 | −0.00582609 | − | 0.999983i | \(-0.501855\pi\) | ||||
−0.00582609 | + | 0.999983i | \(0.501855\pi\) | |||||||
\(464\) | −30.8854 | −1.43382 | ||||||||
\(465\) | 1.68732 | − | 2.92252i | 0.0782475 | − | 0.135529i | ||||
\(466\) | 4.47519 | − | 7.75125i | 0.207309 | − | 0.359070i | ||||
\(467\) | 15.3618 | 0.710861 | 0.355431 | − | 0.934703i | \(-0.384334\pi\) | ||||
0.355431 | + | 0.934703i | \(0.384334\pi\) | |||||||
\(468\) | −30.8503 | −1.42606 | ||||||||
\(469\) | 2.97771 | − | 5.15755i | 0.137498 | − | 0.238153i | ||||
\(470\) | −0.979055 | − | 1.69577i | −0.0451605 | − | 0.0782202i | ||||
\(471\) | 3.58765 | − | 6.21399i | 0.165310 | − | 0.286326i | ||||
\(472\) | −12.0162 | − | 20.8127i | −0.553090 | − | 0.957980i | ||||
\(473\) | −5.15523 | − | 8.92912i | −0.237038 | − | 0.410561i | ||||
\(474\) | 16.2104 | 0.744567 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 26.2199 | 1.20179 | ||||||||
\(477\) | 3.78833 | + | 6.56159i | 0.173456 | + | 0.300434i | ||||
\(478\) | 15.1591 | + | 26.2563i | 0.693361 | + | 1.20094i | ||||
\(479\) | 0.359623 | − | 0.622885i | 0.0164316 | − | 0.0284603i | −0.857693 | − | 0.514163i | \(-0.828103\pi\) |
0.874124 | + | 0.485702i | \(0.161436\pi\) | |||||||
\(480\) | 2.02094 | + | 3.50038i | 0.0922431 | + | 0.159770i | ||||
\(481\) | 5.57785 | − | 9.66112i | 0.254328 | − | 0.440509i | ||||
\(482\) | −32.6682 | −1.48800 | ||||||||
\(483\) | 5.06418 | 0.230428 | ||||||||
\(484\) | 21.1668 | − | 36.6620i | 0.962129 | − | 1.66646i | ||||
\(485\) | 4.96451 | − | 8.59878i | 0.225427 | − | 0.390450i | ||||
\(486\) | 36.4739 | 1.65449 | ||||||||
\(487\) | 11.7469 | 0.532303 | 0.266152 | − | 0.963931i | \(-0.414248\pi\) | ||||
0.266152 | + | 0.963931i | \(0.414248\pi\) | |||||||
\(488\) | −13.7922 | + | 23.8888i | −0.624344 | + | 1.08140i | ||||
\(489\) | −2.06670 | − | 3.57964i | −0.0934596 | − | 0.161877i | ||||
\(490\) | 7.93629 | − | 13.7461i | 0.358525 | − | 0.620984i | ||||
\(491\) | −0.0444153 | − | 0.0769295i | −0.00200443 | − | 0.00347178i | 0.865021 | − | 0.501735i | \(-0.167305\pi\) |
−0.867026 | + | 0.498263i | \(0.833971\pi\) | |||||||
\(492\) | −14.3760 | − | 24.8999i | −0.648119 | − | 1.12258i | ||||
\(493\) | −18.0496 | −0.812914 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −4.10876 | −0.184675 | ||||||||
\(496\) | 12.7369 | + | 22.0610i | 0.571906 | + | 0.990570i | ||||
\(497\) | 5.31315 | + | 9.20264i | 0.238327 | + | 0.412795i | ||||
\(498\) | −10.1792 | + | 17.6308i | −0.456139 | + | 0.790057i | ||||
\(499\) | −7.34524 | − | 12.7223i | −0.328818 | − | 0.569529i | 0.653460 | − | 0.756961i | \(-0.273317\pi\) |
−0.982278 | + | 0.187432i | \(0.939984\pi\) | |||||||
\(500\) | −24.3234 | + | 42.1294i | −1.08778 | + | 1.88408i | ||||
\(501\) | 8.99319 | 0.401786 | ||||||||
\(502\) | −36.3678 | −1.62318 | ||||||||
\(503\) | 2.45202 | − | 4.24702i | 0.109330 | − | 0.189365i | −0.806169 | − | 0.591685i | \(-0.798463\pi\) |
0.915499 | + | 0.402320i | \(0.131796\pi\) | |||||||
\(504\) | −12.0398 | + | 20.8536i | −0.536297 | + | 0.928893i | ||||
\(505\) | −2.92396 | −0.130115 | ||||||||
\(506\) | −15.1925 | −0.675390 | ||||||||
\(507\) | −1.83363 | + | 3.17593i | −0.0814342 | + | 0.141048i | ||||
\(508\) | 31.9898 | + | 55.4079i | 1.41932 | + | 2.45833i | ||||
\(509\) | −3.20692 | + | 5.55455i | −0.142144 | + | 0.246201i | −0.928304 | − | 0.371823i | \(-0.878733\pi\) |
0.786160 | + | 0.618023i | \(0.212066\pi\) | |||||||
\(510\) | 4.31908 | + | 7.48086i | 0.191252 | + | 0.331258i | ||||
\(511\) | −4.69459 | − | 8.13127i | −0.207677 | − | 0.359706i | ||||
\(512\) | 50.5553 | 2.23425 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −12.6040 | −0.555939 | ||||||||
\(515\) | −8.40420 | − | 14.5565i | −0.370333 | − | 0.641436i | ||||
\(516\) | −12.5287 | − | 21.7003i | −0.551545 | − | 0.955303i | ||||
\(517\) | 0.340022 | − | 0.588936i | 0.0149542 | − | 0.0259014i | ||||
\(518\) | −7.96451 | − | 13.7949i | −0.349940 | − | 0.606115i | ||||
\(519\) | 8.23947 | − | 14.2712i | 0.361673 | − | 0.626436i | ||||
\(520\) | 22.3509 | 0.980153 | ||||||||
\(521\) | −35.8135 | −1.56902 | −0.784508 | − | 0.620119i | \(-0.787084\pi\) | ||||
−0.784508 | + | 0.620119i | \(0.787084\pi\) | |||||||
\(522\) | 15.1621 | − | 26.2615i | 0.663627 | − | 1.14944i | ||||
\(523\) | −19.3862 | + | 33.5780i | −0.847701 | + | 1.46826i | 0.0355529 | + | 0.999368i | \(0.488681\pi\) |
−0.883254 | + | 0.468894i | \(0.844653\pi\) | |||||||
\(524\) | −87.3842 | −3.81740 | ||||||||
\(525\) | 3.18479 | 0.138996 | ||||||||
\(526\) | −30.4393 | + | 52.7224i | −1.32722 | + | 2.29881i | ||||
\(527\) | 7.44356 | + | 12.8926i | 0.324247 | + | 0.561612i | ||||
\(528\) | −2.56670 | + | 4.44566i | −0.111701 | + | 0.193473i | ||||
\(529\) | −1.32295 | − | 2.29141i | −0.0575195 | − | 0.0996267i | ||||
\(530\) | −5.02094 | − | 8.69653i | −0.218096 | − | 0.377753i | ||||
\(531\) | 10.1307 | 0.439636 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −27.1293 | −1.17510 | ||||||||
\(534\) | 2.00475 | + | 3.47232i | 0.0867539 | + | 0.150262i | ||||
\(535\) | −4.50000 | − | 7.79423i | −0.194552 | − | 0.336974i | ||||
\(536\) | −11.8675 | + | 20.5552i | −0.512599 | + | 0.887848i | ||||
\(537\) | 1.90286 | + | 3.29584i | 0.0821143 | + | 0.142226i | ||||
\(538\) | −16.5993 | + | 28.7508i | −0.715645 | + | 1.23953i | ||||
\(539\) | 5.51249 | 0.237440 | ||||||||
\(540\) | −21.6236 | −0.930532 | ||||||||
\(541\) | −4.74510 | + | 8.21875i | −0.204008 | + | 0.353352i | −0.949816 | − | 0.312809i | \(-0.898730\pi\) |
0.745808 | + | 0.666161i | \(0.232063\pi\) | |||||||
\(542\) | −33.6386 | + | 58.2638i | −1.44490 | + | 2.50264i | ||||
\(543\) | −8.85204 | −0.379878 | ||||||||
\(544\) | −17.8307 | −0.764484 | ||||||||
\(545\) | 6.36824 | − | 11.0301i | 0.272785 | − | 0.472478i | ||||
\(546\) | −3.43969 | − | 5.95772i | −0.147205 | − | 0.254967i | ||||
\(547\) | −7.10607 | + | 12.3081i | −0.303833 | + | 0.526255i | −0.977001 | − | 0.213235i | \(-0.931600\pi\) |
0.673167 | + | 0.739490i | \(0.264933\pi\) | |||||||
\(548\) | −22.5082 | − | 38.9854i | −0.961503 | − | 1.66537i | ||||
\(549\) | −5.81403 | − | 10.0702i | −0.248137 | − | 0.429785i | ||||
\(550\) | −9.55438 | −0.407400 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −20.1830 | −0.859047 | ||||||||
\(553\) | −7.51367 | − | 13.0141i | −0.319514 | − | 0.553414i | ||||
\(554\) | −20.9033 | − | 36.2056i | −0.888097 | − | 1.53823i | ||||
\(555\) | 1.80541 | − | 3.12706i | 0.0766353 | − | 0.132736i | ||||
\(556\) | 3.66250 | + | 6.34364i | 0.155325 | + | 0.269030i | ||||
\(557\) | −11.2699 | + | 19.5201i | −0.477522 | + | 0.827092i | −0.999668 | − | 0.0257641i | \(-0.991798\pi\) |
0.522146 | + | 0.852856i | \(0.325131\pi\) | |||||||
\(558\) | −25.0110 | −1.05880 | ||||||||
\(559\) | −23.6432 | −1.00000 | ||||||||
\(560\) | 6.85117 | − | 11.8666i | 0.289515 | − | 0.501454i | ||||
\(561\) | −1.50000 | + | 2.59808i | −0.0633300 | + | 0.109691i | ||||
\(562\) | 49.0975 | 2.07105 | ||||||||
\(563\) | −42.9718 | −1.81105 | −0.905524 | − | 0.424296i | \(-0.860522\pi\) | ||||
−0.905524 | + | 0.424296i | \(0.860522\pi\) | |||||||
\(564\) | 0.826352 | − | 1.43128i | 0.0347957 | − | 0.0602679i | ||||
\(565\) | 0.882789 | + | 1.52904i | 0.0371392 | + | 0.0643270i | ||||
\(566\) | −14.3195 | + | 24.8022i | −0.601895 | + | 1.04251i | ||||
\(567\) | −4.09627 | − | 7.09494i | −0.172027 | − | 0.297960i | ||||
\(568\) | −21.1753 | − | 36.6767i | −0.888496 | − | 1.53892i | ||||
\(569\) | 7.42696 | 0.311354 | 0.155677 | − | 0.987808i | \(-0.450244\pi\) | ||||
0.155677 | + | 0.987808i | \(0.450244\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.04458 | 0.169260 | 0.0846301 | − | 0.996412i | \(-0.473029\pi\) | ||||
0.0846301 | + | 0.996412i | \(0.473029\pi\) | |||||||
\(572\) | 7.10014 | + | 12.2978i | 0.296872 | + | 0.514197i | ||||
\(573\) | −3.35622 | − | 5.81314i | −0.140208 | − | 0.242847i | ||||
\(574\) | −19.3687 | + | 33.5476i | −0.808434 | + | 1.40025i | ||||
\(575\) | −8.06418 | − | 13.9676i | −0.336299 | − | 0.582488i | ||||
\(576\) | −2.10829 | + | 3.65166i | −0.0878453 | + | 0.152153i | ||||
\(577\) | 3.23442 | 0.134651 | 0.0673254 | − | 0.997731i | \(-0.478553\pi\) | ||||
0.0673254 | + | 0.997731i | \(0.478553\pi\) | |||||||
\(578\) | 4.93851 | 0.205415 | ||||||||
\(579\) | 4.50387 | − | 7.80093i | 0.187174 | − | 0.324196i | ||||
\(580\) | −13.8268 | + | 23.9488i | −0.574127 | + | 0.994418i | ||||
\(581\) | 18.8726 | 0.782966 | ||||||||
\(582\) | 12.1797 | 0.504866 | ||||||||
\(583\) | 1.74376 | − | 3.02027i | 0.0722190 | − | 0.125087i | ||||
\(584\) | 18.7101 | + | 32.4068i | 0.774228 | + | 1.34100i | ||||
\(585\) | −4.71095 | + | 8.15961i | −0.194774 | + | 0.337358i | ||||
\(586\) | 4.93629 | + | 8.54990i | 0.203916 | + | 0.353193i | ||||
\(587\) | 20.4042 | + | 35.3411i | 0.842171 | + | 1.45868i | 0.888055 | + | 0.459737i | \(0.152056\pi\) |
−0.0458837 | + | 0.998947i | \(0.514610\pi\) | |||||||
\(588\) | 13.3969 | 0.552480 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −13.4270 | −0.552779 | ||||||||
\(591\) | −2.59152 | − | 4.48864i | −0.106601 | − | 0.184638i | ||||
\(592\) | 13.6284 | + | 23.6050i | 0.560122 | + | 0.970160i | ||||
\(593\) | 5.53209 | − | 9.58186i | 0.227176 | − | 0.393480i | −0.729794 | − | 0.683667i | \(-0.760384\pi\) |
0.956970 | + | 0.290187i | \(0.0937175\pi\) | |||||||
\(594\) | −5.45723 | − | 9.45221i | −0.223913 | − | 0.387829i | ||||
\(595\) | 4.00387 | − | 6.93491i | 0.164143 | − | 0.284303i | ||||
\(596\) | 49.4397 | 2.02513 | ||||||||
\(597\) | −17.6459 | −0.722198 | ||||||||
\(598\) | −17.4192 | + | 30.1710i | −0.712325 | + | 1.23378i | ||||
\(599\) | 22.2788 | − | 38.5881i | 0.910289 | − | 1.57667i | 0.0966322 | − | 0.995320i | \(-0.469193\pi\) |
0.813656 | − | 0.581346i | \(-0.197474\pi\) | |||||||
\(600\) | −12.6928 | −0.518183 | ||||||||
\(601\) | −4.99907 | −0.203916 | −0.101958 | − | 0.994789i | \(-0.532511\pi\) | ||||
−0.101958 | + | 0.994789i | \(0.532511\pi\) | |||||||
\(602\) | −16.8799 | + | 29.2368i | −0.687971 | + | 1.19160i | ||||
\(603\) | −5.00269 | − | 8.66491i | −0.203725 | − | 0.352862i | ||||
\(604\) | 24.3555 | − | 42.1850i | 0.991011 | − | 1.71648i | ||||
\(605\) | −6.46451 | − | 11.1969i | −0.262820 | − | 0.455217i | ||||
\(606\) | −1.79339 | − | 3.10623i | −0.0728513 | − | 0.126182i | ||||
\(607\) | −31.1881 | −1.26589 | −0.632943 | − | 0.774199i | \(-0.718153\pi\) | ||||
−0.632943 | + | 0.774199i | \(0.718153\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 4.65270 | 0.188537 | ||||||||
\(610\) | 7.70574 | + | 13.3467i | 0.311996 | + | 0.540393i | ||||
\(611\) | −0.779715 | − | 1.35051i | −0.0315439 | − | 0.0546356i | ||||
\(612\) | 22.0253 | − | 38.1489i | 0.890319 | − | 1.54208i | ||||
\(613\) | −8.18479 | − | 14.1765i | −0.330581 | − | 0.572582i | 0.652045 | − | 0.758180i | \(-0.273911\pi\) |
−0.982626 | + | 0.185598i | \(0.940578\pi\) | |||||||
\(614\) | 29.3410 | − | 50.8200i | 1.18410 | − | 2.05093i | ||||
\(615\) | −8.78106 | −0.354086 | ||||||||
\(616\) | 11.0838 | 0.446578 | ||||||||
\(617\) | −8.02915 | + | 13.9069i | −0.323241 | + | 0.559871i | −0.981155 | − | 0.193223i | \(-0.938106\pi\) |
0.657913 | + | 0.753094i | \(0.271439\pi\) | |||||||
\(618\) | 10.3093 | − | 17.8562i | 0.414700 | − | 0.718281i | ||||
\(619\) | 23.8425 | 0.958313 | 0.479156 | − | 0.877730i | \(-0.340943\pi\) | ||||
0.479156 | + | 0.877730i | \(0.340943\pi\) | |||||||
\(620\) | 22.8084 | 0.916007 | ||||||||
\(621\) | 9.21213 | − | 15.9559i | 0.369670 | − | 0.640288i | ||||
\(622\) | −4.38191 | − | 7.58969i | −0.175699 | − | 0.304319i | ||||
\(623\) | 1.85844 | − | 3.21891i | 0.0744569 | − | 0.128963i | ||||
\(624\) | 5.88578 | + | 10.1945i | 0.235620 | + | 0.408106i | ||||
\(625\) | −0.533433 | − | 0.923933i | −0.0213373 | − | 0.0369573i | ||||
\(626\) | 57.9590 | 2.31651 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 48.4962 | 1.93521 | ||||||||
\(629\) | 7.96451 | + | 13.7949i | 0.317566 | + | 0.550040i | ||||
\(630\) | 6.72668 | + | 11.6510i | 0.267997 | + | 0.464185i | ||||
\(631\) | −10.7365 | + | 18.5961i | −0.427413 | + | 0.740300i | −0.996642 | − | 0.0818782i | \(-0.973908\pi\) |
0.569230 | + | 0.822179i | \(0.307241\pi\) | |||||||
\(632\) | 29.9454 | + | 51.8669i | 1.19116 | + | 2.06315i | ||||
\(633\) | −2.63429 | + | 4.56272i | −0.104703 | + | 0.181352i | ||||
\(634\) | −66.1397 | −2.62674 | ||||||||
\(635\) | 19.5398 | 0.775414 | ||||||||
\(636\) | 4.23783 | − | 7.34013i | 0.168041 | − | 0.291055i | ||||
\(637\) | 6.32042 | − | 10.9473i | 0.250424 | − | 0.433748i | ||||
\(638\) | −13.9581 | −0.552607 | ||||||||
\(639\) | 17.8527 | 0.706240 | ||||||||
\(640\) | 8.98680 | − | 15.5656i | 0.355234 | − | 0.615284i | ||||
\(641\) | −6.37686 | − | 11.0450i | −0.251871 | − | 0.436253i | 0.712170 | − | 0.702007i | \(-0.247712\pi\) |
−0.964041 | + | 0.265754i | \(0.914379\pi\) | |||||||
\(642\) | 5.52007 | − | 9.56104i | 0.217860 | − | 0.377344i | ||||
\(643\) | −14.3041 | − | 24.7754i | −0.564097 | − | 0.977045i | −0.997133 | − | 0.0756683i | \(-0.975891\pi\) |
0.433036 | − | 0.901377i | \(-0.357442\pi\) | |||||||
\(644\) | 17.1138 | + | 29.6420i | 0.674378 | + | 1.16806i | ||||
\(645\) | −7.65270 | −0.301325 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 16.7128 | 0.657046 | 0.328523 | − | 0.944496i | \(-0.393449\pi\) | ||||
0.328523 | + | 0.944496i | \(0.393449\pi\) | |||||||
\(648\) | 16.3255 | + | 28.2766i | 0.641325 | + | 1.11081i | ||||
\(649\) | −2.33157 | − | 4.03839i | −0.0915220 | − | 0.158521i | ||||
\(650\) | −10.9547 | + | 18.9741i | −0.429679 | + | 0.744226i | ||||
\(651\) | −1.91875 | − | 3.32337i | −0.0752017 | − | 0.130253i | ||||
\(652\) | 13.9684 | − | 24.1939i | 0.547044 | − | 0.947508i | ||||
\(653\) | 27.0000 | 1.05659 | 0.528296 | − | 0.849060i | \(-0.322831\pi\) | ||||
0.528296 | + | 0.849060i | \(0.322831\pi\) | |||||||
\(654\) | 15.6236 | 0.610931 | ||||||||
\(655\) | −13.3439 | + | 23.1123i | −0.521389 | + | 0.903072i | ||||
\(656\) | 33.1425 | − | 57.4045i | 1.29400 | − | 2.24127i | ||||
\(657\) | −15.7743 | −0.615412 | ||||||||
\(658\) | −2.22668 | −0.0868051 | ||||||||
\(659\) | 21.9504 | − | 38.0193i | 0.855067 | − | 1.48102i | −0.0215154 | − | 0.999769i | \(-0.506849\pi\) |
0.876583 | − | 0.481251i | \(-0.159818\pi\) | |||||||
\(660\) | 2.29813 | + | 3.98048i | 0.0894547 | + | 0.154940i | ||||
\(661\) | 5.37804 | − | 9.31504i | 0.209182 | − | 0.362313i | −0.742275 | − | 0.670095i | \(-0.766253\pi\) |
0.951457 | + | 0.307782i | \(0.0995867\pi\) | |||||||
\(662\) | 24.1113 | + | 41.7620i | 0.937112 | + | 1.62312i | ||||
\(663\) | 3.43969 | + | 5.95772i | 0.133587 | + | 0.231379i | ||||
\(664\) | −75.2158 | −2.91894 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −26.7615 | −1.03699 | ||||||||
\(667\) | −11.7811 | − | 20.4054i | −0.456164 | − | 0.790100i | ||||
\(668\) | 30.3915 | + | 52.6396i | 1.17588 | + | 2.03669i | ||||
\(669\) | −5.05051 | + | 8.74774i | −0.195264 | + | 0.338207i | ||||
\(670\) | 6.63041 | + | 11.4842i | 0.256155 | + | 0.443674i | ||||
\(671\) | −2.67617 | + | 4.63527i | −0.103313 | + | 0.178943i | ||||
\(672\) | 4.59627 | 0.177305 | ||||||||
\(673\) | 4.65776 | 0.179543 | 0.0897717 | − | 0.995962i | \(-0.471386\pi\) | ||||
0.0897717 | + | 0.995962i | \(0.471386\pi\) | |||||||
\(674\) | 2.15405 | − | 3.73092i | 0.0829708 | − | 0.143710i | ||||
\(675\) | 5.79339 | − | 10.0344i | 0.222988 | − | 0.386226i | ||||
\(676\) | −24.7861 | −0.953312 | ||||||||
\(677\) | 3.26857 | 0.125621 | 0.0628107 | − | 0.998025i | \(-0.479994\pi\) | ||||
0.0628107 | + | 0.998025i | \(0.479994\pi\) | |||||||
\(678\) | −1.08290 | + | 1.87564i | −0.0415886 | + | 0.0720335i | ||||
\(679\) | −5.64543 | − | 9.77817i | −0.216652 | − | 0.375252i | ||||
\(680\) | −15.9572 | + | 27.6387i | −0.611932 | + | 1.05990i | ||||
\(681\) | 3.22193 | + | 5.58055i | 0.123465 | + | 0.213847i | ||||
\(682\) | 5.75624 | + | 9.97011i | 0.220418 | + | 0.381775i | ||||
\(683\) | 6.21894 | 0.237961 | 0.118981 | − | 0.992897i | \(-0.462037\pi\) | ||||
0.118981 | + | 0.992897i | \(0.462037\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −13.7483 | −0.525297 | ||||||||
\(686\) | −22.6027 | − | 39.1490i | −0.862974 | − | 1.49471i | ||||
\(687\) | 6.56583 | + | 11.3723i | 0.250502 | + | 0.433882i | ||||
\(688\) | 28.8837 | − | 50.0281i | 1.10118 | − | 1.90730i | ||||
\(689\) | −3.99866 | − | 6.92588i | −0.152337 | − | 0.263855i | ||||
\(690\) | −5.63816 | + | 9.76557i | −0.214641 | + | 0.371769i | ||||
\(691\) | 22.2175 | 0.845194 | 0.422597 | − | 0.906318i | \(-0.361119\pi\) | ||||
0.422597 | + | 0.906318i | \(0.361119\pi\) | |||||||
\(692\) | 111.377 | 4.23393 | ||||||||
\(693\) | −2.33615 | + | 4.04633i | −0.0887431 | + | 0.153708i | ||||
\(694\) | −6.20574 | + | 10.7487i | −0.235567 | + | 0.408013i | ||||
\(695\) | 2.23711 | 0.0848584 | ||||||||
\(696\) | −18.5431 | −0.702875 | ||||||||
\(697\) | 19.3687 | − | 33.5476i | 0.733642 | − | 1.27071i | ||||
\(698\) | −35.6129 | − | 61.6834i | −1.34797 | − | 2.33475i | ||||
\(699\) | 1.15358 | − | 1.99806i | 0.0436324 | − | 0.0755736i | ||||
\(700\) | 10.7626 | + | 18.6414i | 0.406790 | + | 0.704580i | ||||
\(701\) | 13.8862 | + | 24.0517i | 0.524476 | + | 0.908420i | 0.999594 | + | 0.0284974i | \(0.00907222\pi\) |
−0.475117 | + | 0.879922i | \(0.657594\pi\) | |||||||
\(702\) | −25.0283 | −0.944631 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 1.94087 | 0.0731495 | ||||||||
\(705\) | −0.252374 | − | 0.437124i | −0.00950495 | − | 0.0164631i | ||||
\(706\) | −10.5334 | − | 18.2444i | −0.396431 | − | 0.686639i | ||||
\(707\) | −1.66250 | + | 2.87954i | −0.0625249 | + | 0.108296i | ||||
\(708\) | −5.66637 | − | 9.81445i | −0.212955 | − | 0.368850i | ||||
\(709\) | 3.05391 | − | 5.28953i | 0.114692 | − | 0.198652i | −0.802965 | − | 0.596027i | \(-0.796745\pi\) |
0.917657 | + | 0.397374i | \(0.130079\pi\) | |||||||
\(710\) | −23.6614 | −0.887996 | ||||||||
\(711\) | −25.2466 | −0.946822 | ||||||||
\(712\) | −7.40673 | + | 12.8288i | −0.277579 | + | 0.480781i | ||||
\(713\) | −9.71688 | + | 16.8301i | −0.363900 | + | 0.630293i | ||||
\(714\) | 9.82295 | 0.367615 | ||||||||
\(715\) | 4.33687 | 0.162190 | ||||||||
\(716\) | −12.8610 | + | 22.2758i | −0.480637 | + | 0.832488i | ||||
\(717\) | 3.90760 | + | 6.76817i | 0.145932 | + | 0.252762i | ||||
\(718\) | 31.5612 | − | 54.6657i | 1.17786 | − | 2.04010i | ||||
\(719\) | −19.3619 | − | 33.5358i | −0.722077 | − | 1.25067i | −0.960166 | − | 0.279431i | \(-0.909854\pi\) |
0.238089 | − | 0.971243i | \(-0.423479\pi\) | |||||||
\(720\) | −11.5103 | − | 19.9364i | −0.428962 | − | 0.742985i | ||||
\(721\) | −19.1138 | −0.711835 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −8.42097 | −0.313179 | ||||||||
\(724\) | −29.9145 | − | 51.8134i | −1.11176 | − | 1.92563i | ||||
\(725\) | −7.40895 | − | 12.8327i | −0.275161 | − | 0.476594i | ||||
\(726\) | 7.92989 | − | 13.7350i | 0.294306 | − | 0.509753i | ||||
\(727\) | 5.53895 | + | 9.59375i | 0.205428 | + | 0.355812i | 0.950269 | − | 0.311430i | \(-0.100808\pi\) |
−0.744841 | + | 0.667242i | \(0.767475\pi\) | |||||||
\(728\) | 12.7083 | − | 22.0114i | 0.471000 | − | 0.815795i | ||||
\(729\) | −6.63991 | −0.245923 | ||||||||
\(730\) | 20.9067 | 0.773793 | ||||||||
\(731\) | 16.8799 | − | 29.2368i | 0.624324 | − | 1.08136i | ||||
\(732\) | −6.50387 | + | 11.2650i | −0.240390 | + | 0.416368i | ||||
\(733\) | −15.8075 | −0.583862 | −0.291931 | − | 0.956439i | \(-0.594298\pi\) | ||||
−0.291931 | + | 0.956439i | \(0.594298\pi\) | |||||||
\(734\) | 6.54757 | 0.241675 | ||||||||
\(735\) | 2.04576 | − | 3.54336i | 0.0754590 | − | 0.130699i | ||||
\(736\) | −11.6382 | − | 20.1579i | −0.428988 | − | 0.743029i | ||||
\(737\) | −2.30272 | + | 3.98843i | −0.0848217 | + | 0.146916i | ||||
\(738\) | 32.5403 | + | 56.3614i | 1.19782 | + | 2.07469i | ||||
\(739\) | −0.774663 | − | 1.34175i | −0.0284964 | − | 0.0493573i | 0.851425 | − | 0.524476i | \(-0.175739\pi\) |
−0.879922 | + | 0.475118i | \(0.842405\pi\) | |||||||
\(740\) | 24.4047 | 0.897133 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −11.4192 | −0.419213 | ||||||||
\(743\) | −19.0817 | − | 33.0505i | −0.700040 | − | 1.21251i | −0.968452 | − | 0.249201i | \(-0.919832\pi\) |
0.268411 | − | 0.963304i | \(-0.413501\pi\) | |||||||
\(744\) | 7.64708 | + | 13.2451i | 0.280356 | + | 0.485590i | ||||
\(745\) | 7.54963 | − | 13.0763i | 0.276597 | − | 0.479080i | ||||
\(746\) | −29.6043 | − | 51.2762i | −1.08389 | − | 1.87735i | ||||
\(747\) | 15.8534 | − | 27.4589i | 0.580045 | − | 1.00467i | ||||
\(748\) | −20.2763 | −0.741375 | ||||||||
\(749\) | −10.2344 | −0.373958 | ||||||||
\(750\) | −9.11246 | + | 15.7832i | −0.332740 | + | 0.576323i | ||||
\(751\) | 12.6741 | − | 21.9522i | 0.462485 | − | 0.801048i | −0.536599 | − | 0.843837i | \(-0.680291\pi\) |
0.999084 | + | 0.0427898i | \(0.0136246\pi\) | |||||||
\(752\) | 3.81016 | 0.138942 | ||||||||
\(753\) | −9.37464 | −0.341631 | ||||||||
\(754\) | −16.0039 | + | 27.7195i | −0.582827 | + | 1.00949i | ||||
\(755\) | −7.43835 | − | 12.8836i | −0.270709 | − | 0.468882i | ||||
\(756\) | −12.2947 | + | 21.2951i | −0.447155 | + | 0.774495i | ||||
\(757\) | −21.1853 | − | 36.6939i | −0.769991 | − | 1.33366i | −0.937567 | − | 0.347805i | \(-0.886927\pi\) |
0.167576 | − | 0.985859i | \(-0.446406\pi\) | |||||||
\(758\) | 32.2067 | + | 55.7836i | 1.16980 | + | 2.02615i | ||||
\(759\) | −3.91622 | −0.142150 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −2.85710 | −0.103570 | −0.0517848 | − | 0.998658i | \(-0.516491\pi\) | ||||
−0.0517848 | + | 0.998658i | \(0.516491\pi\) | |||||||
\(762\) | 11.9846 | + | 20.7579i | 0.434155 | + | 0.751979i | ||||
\(763\) | −7.24170 | − | 12.5430i | −0.262167 | − | 0.454087i | ||||
\(764\) | 22.6839 | − | 39.2897i | 0.820675 | − | 1.42145i | ||||
\(765\) | −6.72668 | − | 11.6510i | −0.243204 | − | 0.421241i | ||||
\(766\) | −34.7918 | + | 60.2612i | −1.25708 | + | 2.17732i | ||||
\(767\) | −10.6932 | −0.386108 | ||||||||
\(768\) | 19.9094 | 0.718419 | ||||||||
\(769\) | −9.56031 | + | 16.5589i | −0.344754 | + | 0.597131i | −0.985309 | − | 0.170781i | \(-0.945371\pi\) |
0.640555 | + | 0.767912i | \(0.278704\pi\) | |||||||
\(770\) | 3.09627 | − | 5.36289i | 0.111582 | − | 0.193265i | ||||
\(771\) | −3.24897 | −0.117009 | ||||||||
\(772\) | 60.8813 | 2.19116 | ||||||||
\(773\) | −1.25743 | + | 2.17793i | −0.0452265 | + | 0.0783346i | −0.887752 | − | 0.460321i | \(-0.847734\pi\) |
0.842526 | + | 0.538656i | \(0.181068\pi\) | |||||||
\(774\) | 28.3589 | + | 49.1191i | 1.01934 | + | 1.76555i | ||||
\(775\) | −6.11081 | + | 10.5842i | −0.219507 | + | 0.380197i | ||||
\(776\) | 22.4996 | + | 38.9704i | 0.807688 | + | 1.39896i | ||||
\(777\) | −2.05303 | − | 3.55596i | −0.0736522 | − | 0.127569i | ||||
\(778\) | 8.46286 | 0.303408 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 10.5398 | 0.377386 | ||||||||
\(781\) | −4.10876 | − | 7.11657i | −0.147023 | − | 0.254651i | ||||
\(782\) | −24.8726 | − | 43.0806i | −0.889442 | − | 1.54056i | ||||
\(783\) | 8.46363 | − | 14.6594i | 0.302465 | − | 0.523886i | ||||
\(784\) | 15.4427 | + | 26.7475i | 0.551524 | + | 0.955268i | ||||
\(785\) | 7.40554 | − | 12.8268i | 0.264315 | − | 0.457807i | ||||
\(786\) | −32.7374 | −1.16770 | ||||||||
\(787\) | 2.72605 | 0.0971733 | 0.0485866 | − | 0.998819i | \(-0.484528\pi\) | ||||
0.0485866 | + | 0.998819i | \(0.484528\pi\) | |||||||
\(788\) | 17.5155 | − | 30.3377i | 0.623963 | − | 1.08074i | ||||
\(789\) | −7.84642 | + | 13.5904i | −0.279340 | + | 0.483831i | ||||
\(790\) | 33.4611 | 1.19049 | ||||||||
\(791\) | 2.00774 | 0.0713870 | ||||||||
\(792\) | 9.31062 | − | 16.1265i | 0.330839 | − | 0.573029i | ||||
\(793\) | 6.13681 | + | 10.6293i | 0.217925 | + | 0.377456i | ||||
\(794\) | −16.6147 | + | 28.7775i | −0.589633 | + | 1.02127i | ||||
\(795\) | −1.29426 | − | 2.24173i | −0.0459028 | − | 0.0795059i | ||||
\(796\) | −59.6323 | − | 103.286i | −2.11361 | − | 3.66088i | ||||
\(797\) | 22.0327 | 0.780439 | 0.390219 | − | 0.920722i | \(-0.372399\pi\) | ||||
0.390219 | + | 0.920722i | \(0.372399\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.22668 | 0.0787743 | ||||||||
\(800\) | −7.31908 | − | 12.6770i | −0.258768 | − | 0.448200i | ||||
\(801\) | −3.12226 | − | 5.40792i | −0.110320 | − | 0.191079i | ||||
\(802\) | 21.6668 | − | 37.5281i | 0.765083 | − | 1.32516i | ||||
\(803\) | 3.63041 | + | 6.28806i | 0.128115 | + | 0.221901i | ||||
\(804\) | −5.59627 | + | 9.69302i | −0.197365 | + | 0.341846i | ||||
\(805\) | 10.4534 | 0.368433 | ||||||||
\(806\) | 26.3996 | 0.929887 | ||||||||
\(807\) | −4.27884 | + | 7.41116i | −0.150622 | + | 0.260885i | ||||
\(808\) | 6.62583 | − | 11.4763i | 0.233096 | − | 0.403734i | ||||
\(809\) | 54.7205 | 1.92387 | 0.961935 | − | 0.273278i | \(-0.0881077\pi\) | ||||
0.961935 | + | 0.273278i | \(0.0881077\pi\) | |||||||
\(810\) | 18.2422 | 0.640964 | ||||||||
\(811\) | 1.15523 | − | 2.00092i | 0.0405656 | − | 0.0702617i | −0.845030 | − | 0.534719i | \(-0.820417\pi\) |
0.885595 | + | 0.464458i | \(0.153751\pi\) | |||||||
\(812\) | 15.7233 | + | 27.2335i | 0.551779 | + | 0.955709i | ||||
\(813\) | −8.67112 | + | 15.0188i | −0.304110 | + | 0.526733i | ||||
\(814\) | 6.15910 | + | 10.6679i | 0.215876 | + | 0.373909i | ||||
\(815\) | −4.26604 | − | 7.38901i | −0.149433 | − | 0.258826i | ||||
\(816\) | −16.8084 | −0.588412 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 22.2772 | 0.778906 | ||||||||
\(819\) | 5.35710 | + | 9.27876i | 0.187192 | + | 0.324226i | ||||
\(820\) | −29.6746 | − | 51.3979i | −1.03628 | − | 1.79489i | ||||
\(821\) | −0.555560 | + | 0.962258i | −0.0193892 | + | 0.0335830i | −0.875557 | − | 0.483114i | \(-0.839505\pi\) |
0.856168 | + | 0.516698i | \(0.172839\pi\) | |||||||
\(822\) | −8.43242 | − | 14.6054i | −0.294114 | − | 0.509421i | ||||
\(823\) | −10.3238 | + | 17.8814i | −0.359866 | + | 0.623306i | −0.987938 | − | 0.154849i | \(-0.950511\pi\) |
0.628072 | + | 0.778155i | \(0.283844\pi\) | |||||||
\(824\) | 76.1772 | 2.65376 | ||||||||
\(825\) | −2.46286 | −0.0857457 | ||||||||
\(826\) | −7.63429 | + | 13.2230i | −0.265631 | + | 0.460086i | ||||
\(827\) | −18.1527 | + | 31.4414i | −0.631231 | + | 1.09332i | 0.356069 | + | 0.934460i | \(0.384117\pi\) |
−0.987300 | + | 0.158865i | \(0.949217\pi\) | |||||||
\(828\) | 57.5039 | 1.99840 | ||||||||
\(829\) | −7.14971 | −0.248320 | −0.124160 | − | 0.992262i | \(-0.539624\pi\) | ||||
−0.124160 | + | 0.992262i | \(0.539624\pi\) | |||||||
\(830\) | −21.0116 | + | 36.3932i | −0.729324 | + | 1.26323i | ||||
\(831\) | −5.38831 | − | 9.33282i | −0.186918 | − | 0.323752i | ||||
\(832\) | 2.22534 | − | 3.85440i | 0.0771497 | − | 0.133627i | ||||
\(833\) | 9.02481 | + | 15.6314i | 0.312691 | + | 0.541597i | ||||
\(834\) | 1.37211 | + | 2.37657i | 0.0475123 | + | 0.0822938i | ||||
\(835\) | 18.5635 | 0.642418 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −13.9614 | −0.482577 | ||||||||
\(838\) | 8.65998 | + | 14.9995i | 0.299154 | + | 0.518150i | ||||
\(839\) | 17.3033 | + | 29.9703i | 0.597378 | + | 1.03469i | 0.993207 | + | 0.116365i | \(0.0371241\pi\) |
−0.395829 | + | 0.918324i | \(0.629543\pi\) | |||||||
\(840\) | 4.11334 | − | 7.12452i | 0.141924 | − | 0.245819i | ||||
\(841\) | 3.67617 | + | 6.36732i | 0.126765 | + | 0.219563i | ||||
\(842\) | −6.10607 | + | 10.5760i | −0.210429 | + | 0.364474i | ||||
\(843\) | 12.6560 | 0.435896 | ||||||||
\(844\) | −35.6091 | −1.22571 | ||||||||
\(845\) | −3.78493 | + | 6.55569i | −0.130206 | + | 0.225523i | ||||
\(846\) | −1.87046 | + | 3.23974i | −0.0643078 | + | 0.111384i | ||||
\(847\) | −14.7023 | −0.505178 | ||||||||
\(848\) | 19.5398 | 0.671001 | ||||||||
\(849\) | −3.69119 | + | 6.39333i | −0.126681 | + | 0.219418i | ||||
\(850\) | −15.6420 | − | 27.0928i | −0.536517 | − | 0.929275i | ||||
\(851\) | −10.3969 | + | 18.0080i | −0.356402 | + | 0.617306i | ||||
\(852\) | −9.98545 | − | 17.2953i | −0.342096 | − | 0.592528i | ||||
\(853\) | −16.6254 | − | 28.7961i | −0.569243 | − | 0.985959i | −0.996641 | − | 0.0818948i | \(-0.973903\pi\) |
0.427397 | − | 0.904064i | \(-0.359430\pi\) | |||||||
\(854\) | 17.5253 | 0.599703 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 40.7888 | 1.39413 | ||||||||
\(857\) | 1.94310 | + | 3.36554i | 0.0663749 | + | 0.114965i | 0.897303 | − | 0.441415i | \(-0.145523\pi\) |
−0.830928 | + | 0.556380i | \(0.812190\pi\) | |||||||
\(858\) | 2.65998 | + | 4.60722i | 0.0908101 | + | 0.157288i | ||||
\(859\) | −0.828878 | + | 1.43566i | −0.0282810 | + | 0.0489840i | −0.879819 | − | 0.475308i | \(-0.842337\pi\) |
0.851539 | + | 0.524292i | \(0.175670\pi\) | |||||||
\(860\) | −25.8614 | − | 44.7933i | −0.881868 | − | 1.52744i | ||||
\(861\) | −4.99273 | + | 8.64766i | −0.170152 | + | 0.294711i | ||||
\(862\) | −3.30096 | −0.112431 | ||||||||
\(863\) | −52.7187 | −1.79457 | −0.897284 | − | 0.441455i | \(-0.854463\pi\) | ||||
−0.897284 | + | 0.441455i | \(0.854463\pi\) | |||||||
\(864\) | 8.36097 | − | 14.4816i | 0.284446 | − | 0.492675i | ||||
\(865\) | 17.0077 | − | 29.4583i | 0.578281 | − | 1.00161i | ||||
\(866\) | −50.1958 | −1.70572 | ||||||||
\(867\) | 1.27301 | 0.0432338 | ||||||||
\(868\) | 12.9684 | − | 22.4619i | 0.440175 | − | 0.762406i | ||||
\(869\) | 5.81046 | + | 10.0640i | 0.197106 | + | 0.341398i | ||||
\(870\) | −5.18004 | + | 8.97210i | −0.175620 | + | 0.304183i | ||||
\(871\) | 5.28043 | + | 9.14597i | 0.178921 | + | 0.309899i | ||||
\(872\) | 28.8614 | + | 49.9895i | 0.977371 | + | 1.69286i | ||||
\(873\) | −18.9691 | −0.642008 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 16.8949 | 0.571151 | ||||||||
\(876\) | 8.82295 | + | 15.2818i | 0.298100 | + | 0.516324i | ||||
\(877\) | 10.5949 | + | 18.3509i | 0.357765 | + | 0.619667i | 0.987587 | − | 0.157072i | \(-0.0502055\pi\) |
−0.629822 | + | 0.776739i | \(0.716872\pi\) | |||||||
\(878\) | −43.7636 | + | 75.8007i | −1.47695 | + | 2.55815i | ||||
\(879\) | 1.27244 | + | 2.20393i | 0.0429184 | + | 0.0743368i | ||||
\(880\) | −5.29813 | + | 9.17664i | −0.178600 | + | 0.309344i | ||||
\(881\) | 32.1010 | 1.08151 | 0.540755 | − | 0.841180i | \(-0.318138\pi\) | ||||
0.540755 | + | 0.841180i | \(0.318138\pi\) | |||||||
\(882\) | −30.3242 | −1.02107 | ||||||||
\(883\) | 23.6484 | − | 40.9603i | 0.795833 | − | 1.37842i | −0.126476 | − | 0.991970i | \(-0.540367\pi\) |
0.922309 | − | 0.386453i | \(-0.126300\pi\) | |||||||
\(884\) | −23.2481 | + | 40.2669i | −0.781918 | + | 1.35432i | ||||
\(885\) | −3.46110 | −0.116344 | ||||||||
\(886\) | −43.0711 | −1.44700 | ||||||||
\(887\) | −5.28153 | + | 9.14787i | −0.177336 | + | 0.307155i | −0.940967 | − | 0.338497i | \(-0.890081\pi\) |
0.763631 | + | 0.645653i | \(0.223415\pi\) | |||||||
\(888\) | 8.18227 | + | 14.1721i | 0.274579 | + | 0.475585i | ||||
\(889\) | 11.1099 | − | 19.2430i | 0.372615 | − | 0.645389i | ||||
\(890\) | 4.13816 | + | 7.16750i | 0.138711 | + | 0.240255i | ||||
\(891\) | 3.16772 | + | 5.48665i | 0.106123 | + | 0.183810i | ||||
\(892\) | −68.2704 | −2.28586 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 18.5220 | 0.619468 | ||||||||
\(895\) | 3.92783 | + | 6.80321i | 0.131293 | + | 0.227406i | ||||
\(896\) | −10.2194 | − | 17.7005i | −0.341406 | − | 0.591333i | ||||
\(897\) | −4.49020 | + | 7.77725i | −0.149923 | + | 0.259675i | ||||
\(898\) | 47.3624 | + | 82.0340i | 1.58050 | + | 2.73751i | ||||
\(899\) | −8.92737 | + | 15.4627i | −0.297744 | + | 0.515708i | ||||
\(900\) | 36.1634 | 1.20545 | ||||||||
\(901\) | 11.4192 | 0.380429 | ||||||||
\(902\) | 14.9782 | − | 25.9430i | 0.498719 | − | 0.863806i | ||||
\(903\) | −4.35117 | + | 7.53644i | −0.144798 | + | 0.250797i | ||||
\(904\) | −8.00175 | −0.266134 | ||||||||
\(905\) | −18.2722 | −0.607388 | ||||||||
\(906\) | 9.12449 | − | 15.8041i | 0.303141 | − | 0.525055i | ||||
\(907\) | −21.4602 | − | 37.1702i | −0.712575 | − | 1.23422i | −0.963887 | − | 0.266310i | \(-0.914195\pi\) |
0.251312 | − | 0.967906i | \(-0.419138\pi\) | |||||||
\(908\) | −21.7763 | + | 37.7177i | −0.722672 | + | 1.25171i | ||||
\(909\) | 2.79308 | + | 4.83776i | 0.0926406 | + | 0.160458i | ||||
\(910\) | −7.10014 | − | 12.2978i | −0.235367 | − | 0.407668i | ||||
\(911\) | −55.1411 | −1.82691 | −0.913454 | − | 0.406942i | \(-0.866595\pi\) | ||||
−0.913454 | + | 0.406942i | \(0.866595\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −14.5945 | −0.483008 | ||||||||
\(914\) | 11.5351 | + | 19.9793i | 0.381547 | + | 0.660858i | ||||
\(915\) | 1.98633 | + | 3.44042i | 0.0656660 | + | 0.113737i | ||||
\(916\) | −44.3769 | + | 76.8631i | −1.46625 | + | 2.53963i | ||||
\(917\) | 15.1741 | + | 26.2823i | 0.501093 | + | 0.867919i | ||||
\(918\) | 17.8687 | − | 30.9495i | 0.589755 | − | 1.02149i | ||||
\(919\) | −24.5577 | −0.810083 | −0.405041 | − | 0.914298i | \(-0.632743\pi\) | ||||
−0.405041 | + | 0.914298i | \(0.632743\pi\) | |||||||
\(920\) | −41.6614 | −1.37353 | ||||||||
\(921\) | 7.56330 | − | 13.1000i | 0.249219 | − | 0.431660i | ||||
\(922\) | −30.9526 | + | 53.6116i | −1.01937 | + | 1.76560i | ||||
\(923\) | −18.8438 | −0.620251 | ||||||||
\(924\) | 5.22668 | 0.171945 | ||||||||
\(925\) | −6.53849 | + | 11.3250i | −0.214984 | + | 0.372363i | ||||
\(926\) | −0.317429 | − | 0.549803i | −0.0104314 | − | 0.0180677i | ||||
\(927\) | −16.0560 | + | 27.8099i | −0.527349 | + | 0.913395i | ||||
\(928\) | −10.6925 | − | 18.5200i | −0.351000 | − | 0.607949i | ||||
\(929\) | 11.1386 | + | 19.2927i | 0.365446 | + | 0.632972i | 0.988848 | − | 0.148930i | \(-0.0475830\pi\) |
−0.623401 | + | 0.781902i | \(0.714250\pi\) | |||||||
\(930\) | 8.54488 | 0.280198 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 15.5936 | 0.510785 | ||||||||
\(933\) | −1.12954 | − | 1.95642i | −0.0369794 | − | 0.0640502i | ||||
\(934\) | 19.4488 | + | 33.6863i | 0.636383 | + | 1.10225i | ||||
\(935\) | −3.09627 | + | 5.36289i | −0.101259 | + | 0.175385i | ||||
\(936\) | −21.3505 | − | 36.9801i | −0.697861 | − | 1.20873i | ||||
\(937\) | 4.77584 | − | 8.27201i | 0.156020 | − | 0.270235i | −0.777410 | − | 0.628994i | \(-0.783467\pi\) |
0.933430 | + | 0.358760i | \(0.116800\pi\) | |||||||
\(938\) | 15.0797 | 0.492368 | ||||||||
\(939\) | 14.9403 | 0.487557 | ||||||||
\(940\) | 1.70574 | − | 2.95442i | 0.0556350 | − | 0.0963627i | ||||
\(941\) | 27.8628 | − | 48.2597i | 0.908301 | − | 1.57322i | 0.0918762 | − | 0.995770i | \(-0.470714\pi\) |
0.816424 | − | 0.577452i | \(-0.195953\pi\) | |||||||
\(942\) | 18.1685 | 0.591961 | ||||||||
\(943\) | 50.5681 | 1.64672 | ||||||||
\(944\) | 13.0633 | − | 22.6263i | 0.425174 | − | 0.736423i | ||||
\(945\) | 3.75490 | + | 6.50368i | 0.122147 | + | 0.211565i | ||||
\(946\) | 13.0535 | − | 22.6093i | 0.424406 | − | 0.735093i | ||||
\(947\) | 13.5214 | + | 23.4198i | 0.439387 | + | 0.761040i | 0.997642 | − | 0.0686288i | \(-0.0218624\pi\) |
−0.558255 | + | 0.829669i | \(0.688529\pi\) | |||||||
\(948\) | 14.1211 | + | 24.4584i | 0.458631 | + | 0.794373i | ||||
\(949\) | 16.6500 | 0.540482 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −17.0490 | −0.552852 | ||||||||
\(952\) | 18.1459 | + | 31.4296i | 0.588112 | + | 1.01864i | ||||
\(953\) | −11.5655 | − | 20.0321i | −0.374644 | − | 0.648902i | 0.615630 | − | 0.788036i | \(-0.288902\pi\) |
−0.990274 | + | 0.139133i | \(0.955568\pi\) | |||||||
\(954\) | −9.59240 | + | 16.6145i | −0.310565 | + | 0.537915i | ||||
\(955\) | −6.92783 | − | 11.9994i | −0.224179 | − | 0.388290i | ||||
\(956\) | −26.4106 | + | 45.7445i | −0.854180 | + | 1.47948i | ||||
\(957\) | −3.59802 | −0.116308 | ||||||||
\(958\) | 1.82119 | 0.0588401 | ||||||||
\(959\) | −7.81702 | + | 13.5395i | −0.252425 | + | 0.437212i | ||||
\(960\) | 0.720285 | − | 1.24757i | 0.0232471 | − | 0.0402652i | ||||
\(961\) | −16.2736 | −0.524956 | ||||||||
\(962\) | 28.2472 | 0.910727 | ||||||||
\(963\) | −8.59714 | + | 14.8907i | −0.277039 | + | 0.479846i | ||||
\(964\) | −28.4577 | − | 49.2902i | −0.916561 | − | 1.58753i | ||||
\(965\) | 9.29679 | − | 16.1025i | 0.299274 | − | 0.518358i | ||||
\(966\) | 6.41147 | + | 11.1050i | 0.206286 | + | 0.357297i | ||||
\(967\) | −19.5175 | − | 33.8054i | −0.627642 | − | 1.08711i | −0.988024 | − | 0.154303i | \(-0.950687\pi\) |
0.360382 | − | 0.932805i | \(-0.382646\pi\) | |||||||
\(968\) | 58.5954 | 1.88333 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 25.1411 | 0.807234 | ||||||||
\(971\) | 20.6013 | + | 35.6825i | 0.661128 | + | 1.14511i | 0.980320 | + | 0.197417i | \(0.0632552\pi\) |
−0.319192 | + | 0.947690i | \(0.603411\pi\) | |||||||
\(972\) | 31.7729 | + | 55.0323i | 1.01912 | + | 1.76516i | ||||
\(973\) | 1.27197 | − | 2.20312i | 0.0407776 | − | 0.0706289i | ||||
\(974\) | 14.8721 | + | 25.7593i | 0.476533 | + | 0.825380i | ||||
\(975\) | −2.82383 | + | 4.89101i | −0.0904348 | + | 0.156638i | ||||
\(976\) | −29.9881 | −0.959897 | ||||||||
\(977\) | 22.4938 | 0.719641 | 0.359821 | − | 0.933022i | \(-0.382838\pi\) | ||||
0.359821 | + | 0.933022i | \(0.382838\pi\) | |||||||
\(978\) | 5.23308 | − | 9.06396i | 0.167335 | − | 0.289833i | ||||
\(979\) | −1.43717 | + | 2.48925i | −0.0459320 | + | 0.0795566i | ||||
\(980\) | 27.6536 | 0.883363 | ||||||||
\(981\) | −24.3327 | −0.776885 | ||||||||
\(982\) | 0.112463 | − | 0.194792i | 0.00358885 | − | 0.00621608i | ||||
\(983\) | 22.2731 | + | 38.5781i | 0.710401 | + | 1.23045i | 0.964707 | + | 0.263326i | \(0.0848196\pi\) |
−0.254306 | + | 0.967124i | \(0.581847\pi\) | |||||||
\(984\) | 19.8983 | − | 34.4648i | 0.634334 | − | 1.09870i | ||||
\(985\) | −5.34936 | − | 9.26536i | −0.170445 | − | 0.295219i | ||||
\(986\) | −22.8516 | − | 39.5802i | −0.727744 | − | 1.26049i | ||||
\(987\) | −0.573978 | −0.0182699 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 44.0702 | 1.40135 | ||||||||
\(990\) | −5.20187 | − | 9.00990i | −0.165326 | − | 0.286353i | ||||
\(991\) | 22.6648 | + | 39.2566i | 0.719971 | + | 1.24703i | 0.961011 | + | 0.276510i | \(0.0891780\pi\) |
−0.241040 | + | 0.970515i | \(0.577489\pi\) | |||||||
\(992\) | −8.81908 | + | 15.2751i | −0.280006 | + | 0.484985i | ||||
\(993\) | 6.21523 | + | 10.7651i | 0.197234 | + | 0.341620i | ||||
\(994\) | −13.4534 | + | 23.3019i | −0.426715 | + | 0.739092i | ||||
\(995\) | −36.4243 | −1.15473 | ||||||||
\(996\) | −35.4688 | −1.12387 | ||||||||
\(997\) | 5.24557 | − | 9.08559i | 0.166129 | − | 0.287743i | −0.770927 | − | 0.636924i | \(-0.780207\pi\) |
0.937056 | + | 0.349180i | \(0.113540\pi\) | |||||||
\(998\) | 18.5988 | − | 32.2141i | 0.588735 | − | 1.01972i | ||||
\(999\) | −14.9385 | −0.472634 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))