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 | 292.1 | ||
Root | \(-0.766044 - 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 361.292 |
Dual form | 361.2.c.h.68.1 |
$q$-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 | \(-0.813679\pi\) |
−0.0617072 | − | 0.998094i | \(-0.519654\pi\) | |||||||
\(3\) | −0.326352 | − | 0.565258i | −0.188419 | − | 0.326352i | 0.756304 | − | 0.654220i | \(-0.227003\pi\) |
−0.944723 | + | 0.327868i | \(0.893670\pi\) | |||||||
\(4\) | −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 | −0.613826 | − | 0.789442i | \(-0.710370\pi\) |
0.990589 | + | 0.136868i | \(0.0437036\pi\) | |||||||
\(14\) | −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 | −0.997045 | − | 0.0768219i | \(-0.975523\pi\) |
0.565052 | + | 0.825055i | \(0.308856\pi\) | |||||||
\(30\) | −2.22668 | −0.406535 | ||||||||
\(31\) | 3.83750 | 0.689235 | 0.344617 | − | 0.938743i | \(-0.388009\pi\) | ||||
0.344617 | + | 0.938743i | \(0.388009\pi\) | |||||||
\(32\) | −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 | \(-0.390413\pi\) | ||||
0.337517 | + | 0.941320i | \(0.390413\pi\) | |||||||
\(38\) | 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 | \(-0.882022\pi\) |
0.152363 | − | 0.988325i | \(-0.451312\pi\) | |||||||
\(42\) | −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 | −0.747061 | − | 0.664756i | \(-0.768536\pi\) |
0.949226 | + | 0.314596i | \(0.101869\pi\) | |||||||
\(54\) | 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 | 0.709021 | − | 0.705188i | \(-0.249137\pi\) |
−0.965221 | + | 0.261436i | \(0.915804\pi\) | |||||||
\(60\) | 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 | −0.959980 | − | 0.280068i | \(-0.909643\pi\) |
0.722536 | + | 0.691333i | \(0.242976\pi\) | |||||||
\(68\) | 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 | 0.583496 | − | 0.812116i | \(-0.301684\pi\) |
−0.995061 | + | 0.0992641i | \(0.968351\pi\) | |||||||
\(72\) | 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 | \(0.0193790\pi\) |
−0.446382 | + | 0.894843i | \(0.647288\pi\) | |||||||
\(80\) | 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 | −0.923126 | − | 0.384497i | \(-0.874375\pi\) |
0.794547 | + | 0.607202i | \(0.207708\pi\) | |||||||
\(90\) | −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 | 0.990197 | − | 0.139678i | \(-0.0446067\pi\) |
−0.616063 | + | 0.787697i | \(0.711273\pi\) | |||||||
\(98\) | 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 | \(-0.289305\pi\) | ||||
0.614631 | + | 0.788815i | \(0.289305\pi\) | |||||||
\(104\) | 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 | \(-0.395345\pi\) | ||||
0.322892 | + | 0.946436i | \(0.395345\pi\) | |||||||
\(108\) | 8.02481 | − | 13.8994i | 0.772188 | − | 1.33747i | ||||
\(109\) | 4.72668 | + | 8.18685i | 0.452734 | + | 0.784158i | 0.998555 | − | 0.0537437i | \(-0.0171154\pi\) |
−0.545821 | + | 0.837902i | \(0.683782\pi\) | |||||||
\(110\) | −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 | \(-0.519633\pi\) | ||||
−0.0616388 | + | 0.998099i | \(0.519633\pi\) | |||||||
\(114\) | 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 | \(0.389171\pi\) |
−0.984653 | + | 0.174521i | \(0.944162\pi\) | |||||||
\(128\) | 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 | \(-0.351678\pi\) | ||||
0.449288 | + | 0.893387i | \(0.351678\pi\) | |||||||
\(152\) | 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 | \(0.345640\pi\) |
−0.999253 | + | 0.0386534i | \(0.987693\pi\) | |||||||
\(168\) | −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 | \(0.242721\pi\) |
0.236665 | + | 0.971591i | \(0.423946\pi\) | |||||||
\(174\) | −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 | \(-0.569922\pi\) | ||||
−0.217903 | + | 0.975970i | \(0.569922\pi\) | |||||||
\(180\) | −7.64930 | + | 13.2490i | −0.570145 | + | 0.987520i | ||||
\(181\) | 6.78106 | − | 11.7451i | 0.504032 | − | 0.873009i | −0.495957 | − | 0.868347i | \(-0.665183\pi\) |
0.999989 | − | 0.00466221i | \(-0.00148403\pi\) | |||||||
\(182\) | −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 | 0.999993 | − | 0.00381024i | \(-0.00121284\pi\) |
−0.503296 | + | 0.864114i | \(0.667880\pi\) | |||||||
\(194\) | 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 | 0.693003 | − | 0.720935i | \(-0.256287\pi\) |
−0.970849 | + | 0.239690i | \(0.922954\pi\) | |||||||
\(212\) | 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 | \(-0.993283\pi\) |
0.481614 | − | 0.876383i | \(-0.340051\pi\) | |||||||
\(224\) | −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 | \(-0.606251\pi\) | ||||
−0.327633 | + | 0.944805i | \(0.606251\pi\) | |||||||
\(228\) | 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 | −0.579950 | − | 0.814652i | \(-0.696928\pi\) |
0.995484 | + | 0.0949248i | \(0.0302611\pi\) | |||||||
\(242\) | 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 | −0.777900 | − | 0.628388i | \(-0.783715\pi\) |
0.933150 | + | 0.359487i | \(0.117048\pi\) | |||||||
\(258\) | −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 | 0.593989 | − | 0.804473i | \(-0.297552\pi\) |
−0.993689 | + | 0.112173i | \(0.964219\pi\) | |||||||
\(270\) | −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 | \(0.362973\pi\) |
−0.995668 | + | 0.0929821i | \(0.970360\pi\) | |||||||
\(282\) | −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 | \(-0.536331\pi\) | ||||
−0.113891 | + | 0.993493i | \(0.536331\pi\) | |||||||
\(294\) | 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 | \(0.0633461\pi\) |
−0.318921 | + | 0.947781i | \(0.603321\pi\) | |||||||
\(308\) | 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 | \(-0.571200\pi\) |
0.955361 | − | 0.295441i | \(-0.0954666\pi\) | |||||||
\(318\) | 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 | \(-0.675334\pi\) | ||||
−0.523392 | + | 0.852092i | \(0.675334\pi\) | |||||||
\(332\) | −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 | 0.888265 | − | 0.459331i | \(-0.151911\pi\) |
−0.841925 | + | 0.539595i | \(0.818577\pi\) | |||||||
\(338\) | 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 | \(-0.293025\pi\) | ||||
0.605371 | + | 0.795943i | \(0.293025\pi\) | |||||||
\(374\) | 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 | \(-0.726638\pi\) | ||||
−0.653352 | + | 0.757054i | \(0.726638\pi\) | |||||||
\(380\) | 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 | \(-0.918913\pi\) |
0.265629 | − | 0.964075i | \(-0.414420\pi\) | |||||||
\(384\) | 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 | 0.996633 | − | 0.0819897i | \(-0.0261275\pi\) |
−0.569322 | + | 0.822115i | \(0.692794\pi\) | |||||||
\(402\) | −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 | −0.954048 | − | 0.299654i | \(-0.903129\pi\) |
0.736532 | + | 0.676403i | \(0.236462\pi\) | |||||||
\(410\) | −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 | 0.801259 | − | 0.598317i | \(-0.204164\pi\) |
−0.918787 | + | 0.394752i | \(0.870830\pi\) | |||||||
\(422\) | −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 | −0.849900 | − | 0.526944i | \(-0.823338\pi\) |
0.881297 | + | 0.472563i | \(0.156671\pi\) | |||||||
\(432\) | 12.0753 | + | 20.9151i | 0.580974 | + | 1.00628i | ||||
\(433\) | 9.91194 | − | 17.1680i | 0.476337 | − | 0.825041i | −0.523295 | − | 0.852152i | \(-0.675297\pi\) |
0.999632 | + | 0.0271109i | \(0.00863073\pi\) | |||||||
\(434\) | −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 | \(-0.857898\pi\) |
0.0770948 | − | 0.997024i | \(-0.475436\pi\) | |||||||
\(440\) | −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 | \(-0.844302\pi\) | ||||
−0.882737 | + | 0.469868i | \(0.844302\pi\) | |||||||
\(450\) | −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 | \(-0.585752\pi\) | ||||
−0.266152 | + | 0.963931i | \(0.585752\pi\) | |||||||
\(488\) | 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 | −0.786160 | − | 0.618023i | \(-0.787934\pi\) |
0.928304 | + | 0.371823i | \(0.121267\pi\) | |||||||
\(510\) | 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 | \(-0.212916\pi\) | ||||
0.784508 | + | 0.620119i | \(0.212916\pi\) | |||||||
\(522\) | 15.1621 | − | 26.2615i | 0.663627 | − | 1.14944i | ||||
\(523\) | 19.3862 | − | 33.5780i | 0.847701 | − | 1.46826i | −0.0355529 | − | 0.999368i | \(-0.511319\pi\) |
0.883254 | − | 0.468894i | \(-0.155347\pi\) | |||||||
\(524\) | −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 | −0.673167 | − | 0.739490i | \(-0.735067\pi\) |
0.977001 | + | 0.213235i | \(0.0684000\pi\) | |||||||
\(548\) | −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 | \(-0.139478\pi\) | ||||
0.905524 | + | 0.424296i | \(0.139478\pi\) | |||||||
\(564\) | −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 | \(-0.549756\pi\) | ||||
−0.155677 | + | 0.987808i | \(0.549756\pi\) | |||||||
\(570\) | 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 | \(0.530807\pi\) |
−0.813656 | + | 0.581346i | \(0.802526\pi\) | |||||||
\(600\) | −12.6928 | −0.518183 | ||||||||
\(601\) | 4.99907 | 0.203916 | 0.101958 | − | 0.994789i | \(-0.467489\pi\) | ||||
0.101958 | + | 0.994789i | \(0.467489\pi\) | |||||||
\(602\) | 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 | \(-0.281847\pi\) | ||||
0.632943 | + | 0.774199i | \(0.281847\pi\) | |||||||
\(608\) | 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 | 0.964041 | − | 0.265754i | \(-0.0856209\pi\) |
−0.712170 | + | 0.702007i | \(0.752288\pi\) | |||||||
\(642\) | −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 | \(0.493151\pi\) |
−0.876583 | + | 0.481251i | \(0.840182\pi\) | |||||||
\(660\) | −2.29813 | − | 3.98048i | −0.0894547 | − | 0.154940i | ||||
\(661\) | −5.37804 | + | 9.31504i | −0.209182 | + | 0.362313i | −0.951457 | − | 0.307782i | \(-0.900413\pi\) |
0.742275 | + | 0.670095i | \(0.233747\pi\) | |||||||
\(662\) | 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 | \(-0.528614\pi\) | ||||
−0.0897717 | + | 0.995962i | \(0.528614\pi\) | |||||||
\(674\) | 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 | \(-0.520006\pi\) | ||||
−0.0628107 | + | 0.998025i | \(0.520006\pi\) | |||||||
\(678\) | 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 | \(-0.537963\pi\) | ||||
−0.118981 | + | 0.992897i | \(0.537963\pi\) | |||||||
\(684\) | 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 | \(0.0801680\pi\) |
−0.268411 | + | 0.963304i | \(0.586499\pi\) | |||||||
\(744\) | −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 | −0.999084 | − | 0.0427898i | \(-0.986375\pi\) |
0.536599 | + | 0.843837i | \(0.319709\pi\) | |||||||
\(752\) | 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 | −0.842526 | − | 0.538656i | \(-0.818932\pi\) |
0.887752 | + | 0.460321i | \(0.152266\pi\) | |||||||
\(774\) | −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 | \(-0.515472\pi\) | ||||
−0.0485866 | + | 0.998819i | \(0.515472\pi\) | |||||||
\(788\) | 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 | \(-0.627601\pi\) | ||||
−0.390219 | + | 0.920722i | \(0.627601\pi\) | |||||||
\(798\) | 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 | −0.885595 | − | 0.464458i | \(-0.846249\pi\) |
0.845030 | + | 0.534719i | \(0.179583\pi\) | |||||||
\(812\) | −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 | \(-0.615883\pi\) |
0.987300 | − | 0.158865i | \(-0.0507835\pi\) | |||||||
\(828\) | 57.5039 | 1.99840 | ||||||||
\(829\) | 7.14971 | 0.248320 | 0.124160 | − | 0.992262i | \(-0.460376\pi\) | ||||
0.124160 | + | 0.992262i | \(0.460376\pi\) | |||||||
\(830\) | 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 | \(-0.962876\pi\) |
0.395829 | − | 0.918324i | \(-0.370457\pi\) | |||||||
\(840\) | 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 | 0.830928 | − | 0.556380i | \(-0.187810\pi\) |
−0.897303 | + | 0.441415i | \(0.854477\pi\) | |||||||
\(858\) | −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 | \(-0.145537\pi\) | ||||
0.897284 | + | 0.441455i | \(0.145537\pi\) | |||||||
\(864\) | 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 | 0.629822 | − | 0.776739i | \(-0.283128\pi\) |
−0.987587 | + | 0.157072i | \(0.949794\pi\) | |||||||
\(878\) | −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 | −0.763631 | − | 0.645653i | \(-0.776585\pi\) |
0.940967 | + | 0.338497i | \(0.109919\pi\) | |||||||
\(888\) | −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 | \(0.0858046\pi\) |
−0.251312 | + | 0.967906i | \(0.580862\pi\) | |||||||
\(908\) | 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 | \(-0.133405\pi\) | ||||
0.913454 | + | 0.406942i | \(0.133405\pi\) | |||||||
\(912\) | 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 | \(0.529286\pi\) |
−0.816424 | + | 0.577452i | \(0.804047\pi\) | |||||||
\(942\) | 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 | 0.990274 | − | 0.139133i | \(-0.0444316\pi\) |
−0.615630 | + | 0.788036i | \(0.711098\pi\) | |||||||
\(954\) | −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 | \(-0.936745\pi\) |
0.319192 | − | 0.947690i | \(-0.396589\pi\) | |||||||
\(972\) | −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 | \(-0.617162\pi\) | ||||
−0.359821 | + | 0.933022i | \(0.617162\pi\) | |||||||
\(978\) | 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 | \(-0.915180\pi\) |
0.254306 | − | 0.967124i | \(-0.418153\pi\) | |||||||
\(984\) | −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 | \(-0.910822\pi\) |
0.241040 | − | 0.970515i | \(-0.422511\pi\) | |||||||
\(992\) | −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 \(a_p\))