Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(148,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.148");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.f (of order \(3\), degree \(2\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 10.0.991381711347.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 9x^{8} - 8x^{7} + 40x^{6} - 36x^{5} + 90x^{4} - 3x^{3} + 36x^{2} - 9x + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 295.5 | ||
Root | \(1.19343 - 2.06709i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.295 |
Dual form | 441.2.f.f.148.5 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.19343 | − | 2.06709i | 0.843886 | − | 1.46165i | −0.0426999 | − | 0.999088i | \(-0.513596\pi\) |
0.886585 | − | 0.462565i | \(-0.153071\pi\) | |||||||
\(3\) | −1.34857 | − | 1.08690i | −0.778598 | − | 0.627523i | ||||
\(4\) | −1.84857 | − | 3.20182i | −0.924286 | − | 1.60091i | ||||
\(5\) | −1.46043 | − | 2.52954i | −0.653125 | − | 1.13125i | −0.982360 | − | 0.186998i | \(-0.940124\pi\) |
0.329235 | − | 0.944248i | \(-0.393209\pi\) | |||||||
\(6\) | −3.85615 | + | 1.49047i | −1.57427 | + | 0.608483i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −4.05086 | −1.43219 | ||||||||
\(9\) | 0.637290 | + | 2.93153i | 0.212430 | + | 0.977176i | ||||
\(10\) | −6.97172 | −2.20465 | ||||||||
\(11\) | 0.676857 | − | 1.17235i | 0.204080 | − | 0.353477i | −0.745759 | − | 0.666216i | \(-0.767913\pi\) |
0.949839 | + | 0.312738i | \(0.101246\pi\) | |||||||
\(12\) | −0.987132 | + | 6.32710i | −0.284960 | + | 1.82648i | ||||
\(13\) | 0.733001 | + | 1.26960i | 0.203298 | + | 0.352123i | 0.949589 | − | 0.313497i | \(-0.101501\pi\) |
−0.746291 | + | 0.665620i | \(0.768167\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.779867 | + | 4.99862i | −0.201361 | + | 1.29064i | ||||
\(16\) | −1.13729 | + | 1.96984i | −0.284323 | + | 0.492461i | ||||
\(17\) | 3.31027 | 0.802859 | 0.401430 | − | 0.915890i | \(-0.368513\pi\) | ||||
0.401430 | + | 0.915890i | \(0.368513\pi\) | |||||||
\(18\) | 6.82030 | + | 2.18125i | 1.60756 | + | 0.514126i | ||||
\(19\) | −2.20659 | −0.506226 | −0.253113 | − | 0.967437i | \(-0.581454\pi\) | ||||
−0.253113 | + | 0.967437i | \(0.581454\pi\) | |||||||
\(20\) | −5.39943 | + | 9.35209i | −1.20735 | + | 2.09119i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.61557 | − | 2.79825i | −0.344441 | − | 0.596589i | ||||
\(23\) | −1.31415 | − | 2.27617i | −0.274019 | − | 0.474614i | 0.695868 | − | 0.718169i | \(-0.255020\pi\) |
−0.969887 | + | 0.243555i | \(0.921686\pi\) | |||||||
\(24\) | 5.46287 | + | 4.40288i | 1.11510 | + | 0.898735i | ||||
\(25\) | −1.76573 | + | 3.05833i | −0.353146 | + | 0.611666i | ||||
\(26\) | 3.49916 | 0.686241 | ||||||||
\(27\) | 2.32685 | − | 4.64605i | 0.447803 | − | 0.894132i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.521720 | − | 0.903646i | 0.0968810 | − | 0.167803i | −0.813511 | − | 0.581549i | \(-0.802447\pi\) |
0.910392 | + | 0.413747i | \(0.135780\pi\) | |||||||
\(30\) | 9.40187 | + | 7.57758i | 1.71654 | + | 1.38347i | ||||
\(31\) | 1.63729 | + | 2.83587i | 0.294066 | + | 0.509337i | 0.974767 | − | 0.223224i | \(-0.0716581\pi\) |
−0.680701 | + | 0.732561i | \(0.738325\pi\) | |||||||
\(32\) | −1.33629 | − | 2.31453i | −0.236226 | − | 0.409155i | ||||
\(33\) | −2.18702 | + | 0.845323i | −0.380712 | + | 0.147152i | ||||
\(34\) | 3.95060 | − | 6.84263i | 0.677521 | − | 1.17350i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 8.20815 | − | 7.45963i | 1.36803 | − | 1.24327i | ||||
\(37\) | −10.8755 | −1.78791 | −0.893957 | − | 0.448153i | \(-0.852082\pi\) | ||||
−0.893957 | + | 0.448153i | \(0.852082\pi\) | |||||||
\(38\) | −2.63342 | + | 4.56121i | −0.427197 | + | 0.739926i | ||||
\(39\) | 0.391421 | − | 2.50884i | 0.0626775 | − | 0.401736i | ||||
\(40\) | 5.91601 | + | 10.2468i | 0.935403 | + | 1.62017i | ||||
\(41\) | 0.904289 | + | 1.56627i | 0.141226 | + | 0.244611i | 0.927959 | − | 0.372683i | \(-0.121562\pi\) |
−0.786732 | + | 0.617294i | \(0.788229\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.17129 | + | 3.76078i | −0.331118 | + | 0.573514i | −0.982731 | − | 0.185038i | \(-0.940759\pi\) |
0.651613 | + | 0.758551i | \(0.274093\pi\) | |||||||
\(44\) | −5.00488 | −0.754514 | ||||||||
\(45\) | 6.48471 | − | 5.89336i | 0.966684 | − | 0.878530i | ||||
\(46\) | −6.27340 | −0.924962 | ||||||||
\(47\) | 1.98957 | − | 3.44604i | 0.290209 | − | 0.502656i | −0.683650 | − | 0.729810i | \(-0.739609\pi\) |
0.973859 | + | 0.227154i | \(0.0729419\pi\) | |||||||
\(48\) | 3.67474 | − | 1.42035i | 0.530404 | − | 0.205010i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 4.21456 | + | 7.29984i | 0.596029 | + | 1.03235i | ||||
\(51\) | −4.46414 | − | 3.59794i | −0.625105 | − | 0.503813i | ||||
\(52\) | 2.71001 | − | 4.69388i | 0.375811 | − | 0.650924i | ||||
\(53\) | 6.45486 | 0.886644 | 0.443322 | − | 0.896363i | \(-0.353800\pi\) | ||||
0.443322 | + | 0.896363i | \(0.353800\pi\) | |||||||
\(54\) | −6.82685 | − | 10.3546i | −0.929017 | − | 1.40908i | ||||
\(55\) | −3.95402 | −0.533160 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.97574 | + | 2.39834i | 0.394146 | + | 0.317668i | ||||
\(58\) | −1.24528 | − | 2.15688i | −0.163513 | − | 0.283213i | ||||
\(59\) | −6.10700 | − | 10.5776i | −0.795064 | − | 1.37709i | −0.922799 | − | 0.385283i | \(-0.874104\pi\) |
0.127735 | − | 0.991808i | \(-0.459229\pi\) | |||||||
\(60\) | 17.4463 | − | 6.74331i | 2.25231 | − | 0.870558i | ||||
\(61\) | 0.279867 | − | 0.484744i | 0.0358333 | − | 0.0620651i | −0.847553 | − | 0.530711i | \(-0.821925\pi\) |
0.883386 | + | 0.468646i | \(0.155258\pi\) | |||||||
\(62\) | 7.81600 | 0.992632 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −10.9283 | −1.36604 | ||||||||
\(65\) | 2.14100 | − | 3.70832i | 0.265558 | − | 0.459960i | ||||
\(66\) | −0.862710 | + | 5.52960i | −0.106192 | + | 0.680647i | ||||
\(67\) | −6.40588 | − | 11.0953i | −0.782603 | − | 1.35551i | −0.930420 | − | 0.366494i | \(-0.880558\pi\) |
0.147817 | − | 0.989015i | \(-0.452775\pi\) | |||||||
\(68\) | −6.11928 | − | 10.5989i | −0.742072 | − | 1.28531i | ||||
\(69\) | −0.701751 | + | 4.49793i | −0.0844809 | + | 0.541487i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 12.9177 | 1.53305 | 0.766525 | − | 0.642214i | \(-0.221984\pi\) | ||||
0.766525 | + | 0.642214i | \(0.221984\pi\) | |||||||
\(72\) | −2.58157 | − | 11.8752i | −0.304241 | − | 1.39951i | ||||
\(73\) | 10.4554 | 1.22372 | 0.611858 | − | 0.790968i | \(-0.290422\pi\) | ||||
0.611858 | + | 0.790968i | \(0.290422\pi\) | |||||||
\(74\) | −12.9791 | + | 22.4805i | −1.50879 | + | 2.61331i | ||||
\(75\) | 5.70532 | − | 2.20521i | 0.658793 | − | 0.254635i | ||||
\(76\) | 4.07903 | + | 7.06509i | 0.467897 | + | 0.810422i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −4.71886 | − | 3.80324i | −0.534306 | − | 0.430632i | ||||
\(79\) | −0.383838 | + | 0.664827i | −0.0431852 | + | 0.0747989i | −0.886810 | − | 0.462134i | \(-0.847084\pi\) |
0.843625 | + | 0.536933i | \(0.180417\pi\) | |||||||
\(80\) | 6.64375 | 0.742793 | ||||||||
\(81\) | −8.18772 | + | 3.73647i | −0.909747 | + | 0.415163i | ||||
\(82\) | 4.31684 | 0.476715 | ||||||||
\(83\) | 0.983707 | − | 1.70383i | 0.107976 | − | 0.187020i | −0.806974 | − | 0.590587i | \(-0.798896\pi\) |
0.914950 | + | 0.403567i | \(0.132230\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.83443 | − | 8.37348i | −0.524368 | − | 0.908232i | ||||
\(86\) | 5.18258 | + | 8.97649i | 0.558852 | + | 0.967960i | ||||
\(87\) | −1.68575 | + | 0.651573i | −0.180732 | + | 0.0698559i | ||||
\(88\) | −2.74185 | + | 4.74903i | −0.292283 | + | 0.506248i | ||||
\(89\) | 6.40711 | 0.679153 | 0.339576 | − | 0.940579i | \(-0.389716\pi\) | ||||
0.339576 | + | 0.940579i | \(0.389716\pi\) | |||||||
\(90\) | −4.44301 | − | 20.4378i | −0.468335 | − | 2.15433i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −4.85859 | + | 8.41533i | −0.506543 | + | 0.877359i | ||||
\(93\) | 0.874308 | − | 5.60395i | 0.0906615 | − | 0.581102i | ||||
\(94\) | −4.74884 | − | 8.22524i | −0.489806 | − | 0.848369i | ||||
\(95\) | 3.22257 | + | 5.58166i | 0.330629 | + | 0.572666i | ||||
\(96\) | −0.713577 | + | 4.57373i | −0.0728292 | + | 0.466804i | ||||
\(97\) | 4.14143 | − | 7.17316i | 0.420498 | − | 0.728324i | −0.575490 | − | 0.817809i | \(-0.695189\pi\) |
0.995988 | + | 0.0894847i | \(0.0285220\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 3.86814 | + | 1.23710i | 0.388762 | + | 0.124333i | ||||
\(100\) | 13.0563 | 1.30563 | ||||||||
\(101\) | −8.11331 | + | 14.0527i | −0.807305 | + | 1.39829i | 0.107419 | + | 0.994214i | \(0.465741\pi\) |
−0.914724 | + | 0.404079i | \(0.867592\pi\) | |||||||
\(102\) | −12.7649 | + | 4.93387i | −1.26392 | + | 0.488526i | ||||
\(103\) | −1.11342 | − | 1.92849i | −0.109708 | − | 0.190020i | 0.805944 | − | 0.591992i | \(-0.201658\pi\) |
−0.915652 | + | 0.401972i | \(0.868325\pi\) | |||||||
\(104\) | −2.96929 | − | 5.14295i | −0.291162 | − | 0.504308i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.70346 | − | 13.3428i | 0.748226 | − | 1.29597i | ||||
\(107\) | 17.5081 | 1.69257 | 0.846284 | − | 0.532732i | \(-0.178835\pi\) | ||||
0.846284 | + | 0.532732i | \(0.178835\pi\) | |||||||
\(108\) | −19.1772 | + | 1.13839i | −1.84532 | + | 0.109542i | ||||
\(109\) | 15.5983 | 1.49405 | 0.747025 | − | 0.664796i | \(-0.231482\pi\) | ||||
0.747025 | + | 0.664796i | \(0.231482\pi\) | |||||||
\(110\) | −4.71886 | + | 8.17331i | −0.449926 | + | 0.779295i | ||||
\(111\) | 14.6663 | + | 11.8205i | 1.39207 | + | 1.12196i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.844555 | − | 1.46281i | −0.0794491 | − | 0.137610i | 0.823563 | − | 0.567224i | \(-0.191983\pi\) |
−0.903012 | + | 0.429615i | \(0.858649\pi\) | |||||||
\(114\) | 8.50894 | − | 3.28886i | 0.796935 | − | 0.308030i | ||||
\(115\) | −3.83845 | + | 6.64839i | −0.357937 | + | 0.619966i | ||||
\(116\) | −3.85775 | −0.358183 | ||||||||
\(117\) | −3.25472 | + | 2.95792i | −0.300899 | + | 0.273459i | ||||
\(118\) | −29.1532 | −2.68377 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 3.15913 | − | 20.2487i | 0.288388 | − | 1.84844i | ||||
\(121\) | 4.58373 | + | 7.93925i | 0.416703 | + | 0.721750i | ||||
\(122\) | −0.668005 | − | 1.15702i | −0.0604784 | − | 0.104752i | ||||
\(123\) | 0.482888 | − | 3.09511i | 0.0435405 | − | 0.279076i | ||||
\(124\) | 6.05330 | − | 10.4846i | 0.543602 | − | 0.941546i | ||||
\(125\) | −4.28942 | −0.383657 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.96918 | −0.352208 | −0.176104 | − | 0.984372i | \(-0.556350\pi\) | ||||
−0.176104 | + | 0.984372i | \(0.556350\pi\) | |||||||
\(128\) | −10.3696 | + | 17.9607i | −0.916552 | + | 1.58751i | ||||
\(129\) | 7.01573 | − | 2.71171i | 0.617701 | − | 0.238752i | ||||
\(130\) | −5.11028 | − | 8.85127i | −0.448202 | − | 0.776308i | ||||
\(131\) | 2.66432 | + | 4.61473i | 0.232782 | + | 0.403191i | 0.958626 | − | 0.284669i | \(-0.0918837\pi\) |
−0.725844 | + | 0.687860i | \(0.758550\pi\) | |||||||
\(132\) | 6.74944 | + | 5.43981i | 0.587463 | + | 0.473475i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −30.5800 | −2.64171 | ||||||||
\(135\) | −15.1506 | + | 0.899369i | −1.30396 | + | 0.0774054i | ||||
\(136\) | −13.4095 | −1.14985 | ||||||||
\(137\) | 3.74772 | − | 6.49124i | 0.320189 | − | 0.554584i | −0.660338 | − | 0.750969i | \(-0.729587\pi\) |
0.980527 | + | 0.196385i | \(0.0629202\pi\) | |||||||
\(138\) | 8.46013 | + | 6.81856i | 0.720174 | + | 0.580435i | ||||
\(139\) | −7.03285 | − | 12.1812i | −0.596518 | − | 1.03320i | −0.993331 | − | 0.115300i | \(-0.963217\pi\) |
0.396812 | − | 0.917900i | \(-0.370116\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −6.42858 | + | 2.48476i | −0.541384 | + | 0.209255i | ||||
\(142\) | 15.4164 | − | 26.7021i | 1.29372 | − | 2.24079i | ||||
\(143\) | 1.98455 | 0.165956 | ||||||||
\(144\) | −6.49944 | − | 2.07864i | −0.541620 | − | 0.173220i | ||||
\(145\) | −3.04775 | −0.253102 | ||||||||
\(146\) | 12.4779 | − | 21.6123i | 1.03268 | − | 1.78865i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 20.1041 | + | 34.8212i | 1.65254 | + | 2.86229i | ||||
\(149\) | −1.08986 | − | 1.88769i | −0.0892846 | − | 0.154645i | 0.817924 | − | 0.575326i | \(-0.195125\pi\) |
−0.907209 | + | 0.420680i | \(0.861791\pi\) | |||||||
\(150\) | 2.25056 | − | 14.4252i | 0.183758 | − | 1.17781i | ||||
\(151\) | −7.01387 | + | 12.1484i | −0.570781 | + | 0.988621i | 0.425705 | + | 0.904862i | \(0.360026\pi\) |
−0.996486 | + | 0.0837595i | \(0.973307\pi\) | |||||||
\(152\) | 8.93857 | 0.725014 | ||||||||
\(153\) | 2.10961 | + | 9.70416i | 0.170552 | + | 0.784535i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 4.78231 | − | 8.28320i | 0.384124 | − | 0.665322i | ||||
\(156\) | −8.75643 | + | 3.38451i | −0.701075 | + | 0.270978i | ||||
\(157\) | 1.48312 | + | 2.56883i | 0.118365 | + | 0.205015i | 0.919120 | − | 0.393978i | \(-0.128901\pi\) |
−0.800755 | + | 0.598993i | \(0.795568\pi\) | |||||||
\(158\) | 0.916172 | + | 1.58686i | 0.0728867 | + | 0.126243i | ||||
\(159\) | −8.70484 | − | 7.01580i | −0.690339 | − | 0.556389i | ||||
\(160\) | −3.90314 | + | 6.76043i | −0.308570 | + | 0.534459i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −2.04789 | + | 21.3840i | −0.160898 | + | 1.68008i | ||||
\(163\) | 0.388555 | 0.0304340 | 0.0152170 | − | 0.999884i | \(-0.495156\pi\) | ||||
0.0152170 | + | 0.999884i | \(0.495156\pi\) | |||||||
\(164\) | 3.34329 | − | 5.79074i | 0.261067 | − | 0.452181i | ||||
\(165\) | 5.33228 | + | 4.29763i | 0.415117 | + | 0.334570i | ||||
\(166\) | −2.34798 | − | 4.06682i | −0.182239 | − | 0.315646i | ||||
\(167\) | −3.64889 | − | 6.32006i | −0.282360 | − | 0.489061i | 0.689606 | − | 0.724185i | \(-0.257784\pi\) |
−0.971965 | + | 0.235124i | \(0.924450\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.42542 | − | 9.39710i | 0.417340 | − | 0.722854i | ||||
\(170\) | −23.0783 | −1.77003 | ||||||||
\(171\) | −1.40624 | − | 6.46867i | −0.107538 | − | 0.494672i | ||||
\(172\) | 16.0551 | 1.22419 | ||||||||
\(173\) | −2.02754 | + | 3.51181i | −0.154151 | + | 0.266998i | −0.932750 | − | 0.360525i | \(-0.882598\pi\) |
0.778598 | + | 0.627522i | \(0.215931\pi\) | |||||||
\(174\) | −0.664975 | + | 4.26221i | −0.0504116 | + | 0.323117i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 1.53957 | + | 2.66661i | 0.116049 | + | 0.201003i | ||||
\(177\) | −3.26112 | + | 20.9024i | −0.245121 | + | 1.57112i | ||||
\(178\) | 7.64647 | − | 13.2441i | 0.573127 | − | 0.992685i | ||||
\(179\) | −10.5849 | −0.791149 | −0.395575 | − | 0.918434i | \(-0.629455\pi\) | ||||
−0.395575 | + | 0.918434i | \(0.629455\pi\) | |||||||
\(180\) | −30.8569 | − | 9.86859i | −2.29994 | − | 0.735561i | ||||
\(181\) | 19.6312 | 1.45917 | 0.729586 | − | 0.683889i | \(-0.239713\pi\) | ||||
0.729586 | + | 0.683889i | \(0.239713\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.904289 | + | 0.349524i | −0.0668470 | + | 0.0258375i | ||||
\(184\) | 5.32343 | + | 9.22045i | 0.392448 | + | 0.679740i | ||||
\(185\) | 15.8829 | + | 27.5099i | 1.16773 | + | 2.02257i | ||||
\(186\) | −10.5404 | − | 8.49522i | −0.772862 | − | 0.622899i | ||||
\(187\) | 2.24058 | − | 3.88081i | 0.163848 | − | 0.283793i | ||||
\(188\) | −14.7115 | −1.07294 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 15.3837 | 1.11605 | ||||||||
\(191\) | −4.14357 | + | 7.17688i | −0.299818 | + | 0.519301i | −0.976094 | − | 0.217348i | \(-0.930259\pi\) |
0.676276 | + | 0.736648i | \(0.263593\pi\) | |||||||
\(192\) | 14.7376 | + | 11.8780i | 1.06359 | + | 0.857218i | ||||
\(193\) | 9.39242 | + | 16.2682i | 0.676082 | + | 1.17101i | 0.976152 | + | 0.217090i | \(0.0696566\pi\) |
−0.300070 | + | 0.953917i | \(0.597010\pi\) | |||||||
\(194\) | −9.88504 | − | 17.1214i | −0.709705 | − | 1.22924i | ||||
\(195\) | −6.91787 | + | 2.67388i | −0.495399 | + | 0.191480i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.99634 | 0.427222 | 0.213611 | − | 0.976919i | \(-0.431478\pi\) | ||||
0.213611 | + | 0.976919i | \(0.431478\pi\) | |||||||
\(198\) | 7.17356 | − | 6.51939i | 0.509803 | − | 0.463313i | ||||
\(199\) | 14.4087 | 1.02140 | 0.510702 | − | 0.859758i | \(-0.329385\pi\) | ||||
0.510702 | + | 0.859758i | \(0.329385\pi\) | |||||||
\(200\) | 7.15272 | − | 12.3889i | 0.505773 | − | 0.876025i | ||||
\(201\) | −3.42072 | + | 21.9254i | −0.241279 | + | 1.54650i | ||||
\(202\) | 19.3654 | + | 33.5419i | 1.36255 | + | 2.36000i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −3.26768 | + | 20.9444i | −0.228783 | + | 1.46640i | ||||
\(205\) | 2.64131 | − | 4.57488i | 0.184477 | − | 0.319523i | ||||
\(206\) | −5.31515 | −0.370324 | ||||||||
\(207\) | 5.83517 | − | 5.30304i | 0.405572 | − | 0.368587i | ||||
\(208\) | −3.33454 | −0.231209 | ||||||||
\(209\) | −1.49354 | + | 2.58690i | −0.103311 | + | 0.178939i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.92418 | − | 11.9930i | −0.476680 | − | 0.825634i | 0.522963 | − | 0.852356i | \(-0.324827\pi\) |
−0.999643 | + | 0.0267212i | \(0.991493\pi\) | |||||||
\(212\) | −11.9323 | − | 20.6673i | −0.819512 | − | 1.41944i | ||||
\(213\) | −17.4205 | − | 14.0403i | −1.19363 | − | 0.962024i | ||||
\(214\) | 20.8947 | − | 36.1907i | 1.42833 | − | 2.47395i | ||||
\(215\) | 12.6841 | 0.865047 | ||||||||
\(216\) | −9.42574 | + | 18.8205i | −0.641341 | + | 1.28057i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 18.6156 | − | 32.2431i | 1.26081 | − | 2.18378i | ||||
\(219\) | −14.0999 | − | 11.3640i | −0.952783 | − | 0.767910i | ||||
\(220\) | 7.30929 | + | 12.6601i | 0.492792 | + | 0.853541i | ||||
\(221\) | 2.42644 | + | 4.20271i | 0.163220 | + | 0.282705i | ||||
\(222\) | 41.9374 | − | 16.2096i | 2.81466 | − | 1.08791i | ||||
\(223\) | −2.33756 | + | 4.04878i | −0.156535 | + | 0.271126i | −0.933617 | − | 0.358273i | \(-0.883366\pi\) |
0.777082 | + | 0.629399i | \(0.216699\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −10.0909 | − | 3.22724i | −0.672725 | − | 0.215149i | ||||
\(226\) | −4.03169 | −0.268184 | ||||||||
\(227\) | 9.85631 | − | 17.0716i | 0.654187 | − | 1.13308i | −0.327910 | − | 0.944709i | \(-0.606344\pi\) |
0.982097 | − | 0.188376i | \(-0.0603222\pi\) | |||||||
\(228\) | 2.17819 | − | 13.9613i | 0.144254 | − | 0.924609i | ||||
\(229\) | 14.0364 | + | 24.3118i | 0.927552 | + | 1.60657i | 0.787404 | + | 0.616437i | \(0.211425\pi\) |
0.140148 | + | 0.990131i | \(0.455242\pi\) | |||||||
\(230\) | 9.16188 | + | 15.8688i | 0.604116 | + | 1.04636i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.11342 | + | 3.66054i | −0.138753 | + | 0.240326i | ||||
\(233\) | 13.8023 | 0.904216 | 0.452108 | − | 0.891963i | \(-0.350672\pi\) | ||||
0.452108 | + | 0.891963i | \(0.350672\pi\) | |||||||
\(234\) | 2.22998 | + | 10.2579i | 0.145778 | + | 0.670579i | ||||
\(235\) | −11.6225 | −0.758171 | ||||||||
\(236\) | −22.5785 | + | 39.1070i | −1.46973 | + | 2.54565i | ||||
\(237\) | 1.24024 | − | 0.479373i | 0.0805619 | − | 0.0311386i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 5.53069 | + | 9.57944i | 0.357751 | + | 0.619642i | 0.987585 | − | 0.157087i | \(-0.0502104\pi\) |
−0.629834 | + | 0.776730i | \(0.716877\pi\) | |||||||
\(240\) | −8.95957 | − | 7.22110i | −0.578338 | − | 0.466120i | ||||
\(241\) | −11.5849 | + | 20.0656i | −0.746247 | + | 1.29254i | 0.203362 | + | 0.979104i | \(0.434813\pi\) |
−0.949610 | + | 0.313435i | \(0.898520\pi\) | |||||||
\(242\) | 21.8815 | 1.40660 | ||||||||
\(243\) | 15.1029 | + | 3.86035i | 0.968852 | + | 0.247642i | ||||
\(244\) | −2.06942 | −0.132481 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −5.82157 | − | 4.69198i | −0.371169 | − | 0.299150i | ||||
\(247\) | −1.61743 | − | 2.80147i | −0.102915 | − | 0.178253i | ||||
\(248\) | −6.63243 | − | 11.4877i | −0.421160 | − | 0.729470i | ||||
\(249\) | −3.17850 | + | 1.22854i | −0.201429 | + | 0.0778559i | ||||
\(250\) | −5.11914 | + | 8.86660i | −0.323763 | + | 0.560773i | ||||
\(251\) | 7.78402 | 0.491323 | 0.245662 | − | 0.969356i | \(-0.420995\pi\) | ||||
0.245662 | + | 0.969356i | \(0.420995\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.55796 | −0.223687 | ||||||||
\(254\) | −4.73696 | + | 8.20466i | −0.297223 | + | 0.514806i | ||||
\(255\) | −2.58157 | + | 16.5468i | −0.161664 | + | 1.03620i | ||||
\(256\) | 13.8226 | + | 23.9414i | 0.863912 | + | 1.49634i | ||||
\(257\) | 5.18798 | + | 8.98585i | 0.323618 | + | 0.560522i | 0.981232 | − | 0.192833i | \(-0.0617676\pi\) |
−0.657614 | + | 0.753355i | \(0.728434\pi\) | |||||||
\(258\) | 2.76748 | − | 17.7384i | 0.172296 | − | 1.10434i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −15.8312 | −0.981807 | ||||||||
\(261\) | 2.98155 | + | 0.953553i | 0.184553 | + | 0.0590235i | ||||
\(262\) | 12.7187 | 0.785767 | ||||||||
\(263\) | 9.56654 | − | 16.5697i | 0.589898 | − | 1.02173i | −0.404347 | − | 0.914605i | \(-0.632501\pi\) |
0.994245 | − | 0.107128i | \(-0.0341653\pi\) | |||||||
\(264\) | 8.85931 | − | 3.42428i | 0.545253 | − | 0.210750i | ||||
\(265\) | −9.42689 | − | 16.3279i | −0.579090 | − | 1.00301i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −8.64045 | − | 6.96390i | −0.528787 | − | 0.426184i | ||||
\(268\) | −23.6835 | + | 41.0210i | −1.44670 | + | 2.50576i | ||||
\(269\) | −8.83681 | −0.538790 | −0.269395 | − | 0.963030i | \(-0.586824\pi\) | ||||
−0.269395 | + | 0.963030i | \(0.586824\pi\) | |||||||
\(270\) | −16.2222 | + | 32.3910i | −0.987249 | + | 1.97125i | ||||
\(271\) | −18.3391 | −1.11402 | −0.557010 | − | 0.830506i | \(-0.688052\pi\) | ||||
−0.557010 | + | 0.830506i | \(0.688052\pi\) | |||||||
\(272\) | −3.76474 | + | 6.52073i | −0.228271 | + | 0.395377i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −8.94531 | − | 15.4937i | −0.540406 | − | 0.936010i | ||||
\(275\) | 2.39029 | + | 4.14011i | 0.144140 | + | 0.249658i | ||||
\(276\) | 15.6988 | − | 6.06786i | 0.944956 | − | 0.365242i | ||||
\(277\) | −2.55241 | + | 4.42091i | −0.153360 | + | 0.265627i | −0.932460 | − | 0.361272i | \(-0.882343\pi\) |
0.779101 | + | 0.626899i | \(0.215676\pi\) | |||||||
\(278\) | −33.5730 | −2.01357 | ||||||||
\(279\) | −7.27001 | + | 6.60704i | −0.435244 | + | 0.395553i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.853180 | + | 1.47775i | −0.0508964 | + | 0.0881552i | −0.890351 | − | 0.455274i | \(-0.849541\pi\) |
0.839455 | + | 0.543430i | \(0.182875\pi\) | |||||||
\(282\) | −2.53587 | + | 16.2538i | −0.151009 | + | 0.967903i | ||||
\(283\) | −6.24415 | − | 10.8152i | −0.371176 | − | 0.642896i | 0.618571 | − | 0.785729i | \(-0.287712\pi\) |
−0.989747 | + | 0.142833i | \(0.954379\pi\) | |||||||
\(284\) | −23.8793 | − | 41.3602i | −1.41698 | − | 2.45428i | ||||
\(285\) | 1.72084 | − | 11.0299i | 0.101934 | − | 0.653354i | ||||
\(286\) | 2.36843 | − | 4.10224i | 0.140048 | − | 0.242571i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 5.93351 | − | 5.39242i | 0.349635 | − | 0.317751i | ||||
\(289\) | −6.04208 | −0.355417 | ||||||||
\(290\) | −3.63729 | + | 6.29997i | −0.213589 | + | 0.369947i | ||||
\(291\) | −13.3815 | + | 5.17220i | −0.784439 | + | 0.303200i | ||||
\(292\) | −19.3276 | − | 33.4764i | −1.13106 | − | 1.95906i | ||||
\(293\) | 2.60202 | + | 4.50684i | 0.152012 | + | 0.263292i | 0.931967 | − | 0.362543i | \(-0.118091\pi\) |
−0.779955 | + | 0.625835i | \(0.784758\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −17.8377 | + | 30.8959i | −1.03855 | + | 1.79883i | ||||
\(296\) | 44.0549 | 2.56064 | ||||||||
\(297\) | −3.87186 | − | 5.87260i | −0.224668 | − | 0.340763i | ||||
\(298\) | −5.20269 | −0.301384 | ||||||||
\(299\) | 1.92654 | − | 3.33687i | 0.111415 | − | 0.192976i | ||||
\(300\) | −17.6074 | − | 14.1909i | −1.01656 | − | 0.819313i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 16.7412 | + | 28.9966i | 0.963347 | + | 1.66857i | ||||
\(303\) | 26.2153 | − | 10.1327i | 1.50603 | − | 0.582106i | ||||
\(304\) | 2.50953 | − | 4.34663i | 0.143931 | − | 0.249297i | ||||
\(305\) | −1.63491 | −0.0936145 | ||||||||
\(306\) | 22.5770 | + | 7.22054i | 1.29064 | + | 0.412771i | ||||
\(307\) | −5.00136 | −0.285442 | −0.142721 | − | 0.989763i | \(-0.545585\pi\) | ||||
−0.142721 | + | 0.989763i | \(0.545585\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −0.594560 | + | 3.81088i | −0.0338234 | + | 0.216793i | ||||
\(310\) | −11.4147 | − | 19.7709i | −0.648313 | − | 1.12291i | ||||
\(311\) | −16.1984 | − | 28.0565i | −0.918528 | − | 1.59094i | −0.801652 | − | 0.597791i | \(-0.796045\pi\) |
−0.116876 | − | 0.993146i | \(-0.537288\pi\) | |||||||
\(312\) | −1.58559 | + | 10.1630i | −0.0897663 | + | 0.575364i | ||||
\(313\) | 0.759535 | − | 1.31555i | 0.0429315 | − | 0.0743595i | −0.843761 | − | 0.536719i | \(-0.819664\pi\) |
0.886693 | + | 0.462359i | \(0.152997\pi\) | |||||||
\(314\) | 7.08000 | 0.399548 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.83821 | 0.159662 | ||||||||
\(317\) | 10.7544 | − | 18.6272i | 0.604029 | − | 1.04621i | −0.388175 | − | 0.921586i | \(-0.626894\pi\) |
0.992204 | − | 0.124623i | \(-0.0397723\pi\) | |||||||
\(318\) | −24.8909 | + | 9.62079i | −1.39581 | + | 0.539507i | ||||
\(319\) | −0.706261 | − | 1.22328i | −0.0395430 | − | 0.0684905i | ||||
\(320\) | 15.9600 | + | 27.6436i | 0.892193 | + | 1.54532i | ||||
\(321\) | −23.6109 | − | 19.0295i | −1.31783 | − | 1.06213i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −7.30441 | −0.406428 | ||||||||
\(324\) | 27.0991 | + | 19.3085i | 1.50551 | + | 1.07269i | ||||
\(325\) | −5.17713 | −0.287175 | ||||||||
\(326\) | 0.463715 | − | 0.803178i | 0.0256828 | − | 0.0444839i | ||||
\(327\) | −21.0355 | − | 16.9539i | −1.16326 | − | 0.937550i | ||||
\(328\) | −3.66315 | − | 6.34476i | −0.202263 | − | 0.350330i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 15.2473 | − | 5.89336i | 0.839337 | − | 0.324419i | ||||
\(331\) | −9.73902 | + | 16.8685i | −0.535305 | + | 0.927175i | 0.463844 | + | 0.885917i | \(0.346470\pi\) |
−0.999149 | + | 0.0412580i | \(0.986863\pi\) | |||||||
\(332\) | −7.27381 | −0.399202 | ||||||||
\(333\) | −6.93082 | − | 31.8817i | −0.379807 | − | 1.74711i | ||||
\(334\) | −17.4188 | −0.953116 | ||||||||
\(335\) | −18.7107 | + | 32.4079i | −1.02228 | + | 1.77063i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 4.84742 | + | 8.39598i | 0.264056 | + | 0.457358i | 0.967316 | − | 0.253575i | \(-0.0816063\pi\) |
−0.703260 | + | 0.710933i | \(0.748273\pi\) | |||||||
\(338\) | −12.9498 | − | 22.4296i | −0.704374 | − | 1.22001i | ||||
\(339\) | −0.450990 | + | 2.89066i | −0.0244944 | + | 0.156999i | ||||
\(340\) | −17.8736 | + | 30.9580i | −0.969332 | + | 1.67893i | ||||
\(341\) | 4.43285 | 0.240052 | ||||||||
\(342\) | −15.0496 | − | 4.81312i | −0.813788 | − | 0.260264i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 8.79558 | − | 15.2344i | 0.474226 | − | 0.821383i | ||||
\(345\) | 12.4026 | − | 4.79381i | 0.667732 | − | 0.258090i | ||||
\(346\) | 4.83948 | + | 8.38222i | 0.260172 | + | 0.450631i | ||||
\(347\) | −1.01302 | − | 1.75460i | −0.0543817 | − | 0.0941919i | 0.837553 | − | 0.546356i | \(-0.183985\pi\) |
−0.891935 | + | 0.452164i | \(0.850652\pi\) | |||||||
\(348\) | 5.20245 | + | 4.19299i | 0.278881 | + | 0.224768i | ||||
\(349\) | −8.14577 | + | 14.1089i | −0.436033 | + | 0.755231i | −0.997379 | − | 0.0723497i | \(-0.976950\pi\) |
0.561346 | + | 0.827581i | \(0.310284\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 7.60419 | − | 0.451400i | 0.405882 | − | 0.0240939i | ||||
\(352\) | −3.61792 | −0.192836 | ||||||||
\(353\) | 8.53072 | − | 14.7756i | 0.454045 | − | 0.786428i | −0.544588 | − | 0.838704i | \(-0.683314\pi\) |
0.998633 | + | 0.0522753i | \(0.0166473\pi\) | |||||||
\(354\) | 39.3152 | + | 31.6867i | 2.08958 | + | 1.68413i | ||||
\(355\) | −18.8655 | − | 32.6759i | −1.00127 | − | 1.73426i | ||||
\(356\) | −11.8440 | − | 20.5144i | −0.627731 | − | 1.08726i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −12.6323 | + | 21.8798i | −0.667639 | + | 1.15639i | ||||
\(359\) | −2.96726 | −0.156606 | −0.0783030 | − | 0.996930i | \(-0.524950\pi\) | ||||
−0.0783030 | + | 0.996930i | \(0.524950\pi\) | |||||||
\(360\) | −26.2686 | + | 23.8731i | −1.38448 | + | 1.25823i | ||||
\(361\) | −14.1310 | −0.743736 | ||||||||
\(362\) | 23.4285 | − | 40.5794i | 1.23137 | − | 2.13280i | ||||
\(363\) | 2.44770 | − | 15.6887i | 0.128471 | − | 0.823444i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −15.2695 | − | 26.4475i | −0.799240 | − | 1.38432i | ||||
\(366\) | −0.356713 | + | 2.28638i | −0.0186457 | + | 0.119511i | ||||
\(367\) | −5.07874 | + | 8.79664i | −0.265108 | + | 0.459181i | −0.967592 | − | 0.252519i | \(-0.918741\pi\) |
0.702484 | + | 0.711700i | \(0.252074\pi\) | |||||||
\(368\) | 5.97827 | 0.311639 | ||||||||
\(369\) | −4.01528 | + | 3.64912i | −0.209027 | + | 0.189966i | ||||
\(370\) | 75.8207 | 3.94173 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −19.5591 | + | 7.55992i | −1.01409 | + | 0.391964i | ||||
\(373\) | 12.7423 | + | 22.0703i | 0.659771 | + | 1.14276i | 0.980675 | + | 0.195645i | \(0.0626799\pi\) |
−0.320904 | + | 0.947112i | \(0.603987\pi\) | |||||||
\(374\) | −5.34798 | − | 9.26297i | −0.276537 | − | 0.478977i | ||||
\(375\) | 5.78458 | + | 4.66217i | 0.298715 | + | 0.240754i | ||||
\(376\) | −8.05947 | + | 13.9594i | −0.415635 | + | 0.719902i | ||||
\(377\) | 1.52969 | 0.0787829 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9.85497 | 0.506216 | 0.253108 | − | 0.967438i | \(-0.418547\pi\) | ||||
0.253108 | + | 0.967438i | \(0.418547\pi\) | |||||||
\(380\) | 11.9143 | − | 20.6362i | 0.611191 | − | 1.05861i | ||||
\(381\) | 5.35273 | + | 4.31411i | 0.274229 | + | 0.221019i | ||||
\(382\) | 9.89016 | + | 17.1303i | 0.506025 | + | 0.876460i | ||||
\(383\) | −13.6563 | − | 23.6535i | −0.697806 | − | 1.20864i | −0.969225 | − | 0.246175i | \(-0.920826\pi\) |
0.271419 | − | 0.962461i | \(-0.412507\pi\) | |||||||
\(384\) | 33.5056 | − | 12.9505i | 1.70983 | − | 0.660878i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 44.8370 | 2.28214 | ||||||||
\(387\) | −12.4086 | − | 3.96848i | −0.630763 | − | 0.201729i | ||||
\(388\) | −30.6229 | −1.55464 | ||||||||
\(389\) | −2.09223 | + | 3.62385i | −0.106080 | + | 0.183736i | −0.914179 | − | 0.405311i | \(-0.867163\pi\) |
0.808099 | + | 0.589047i | \(0.200497\pi\) | |||||||
\(390\) | −2.72888 | + | 17.4909i | −0.138182 | + | 0.885689i | ||||
\(391\) | −4.35019 | − | 7.53475i | −0.219999 | − | 0.381049i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 1.42274 | − | 9.11914i | 0.0717676 | − | 0.460000i | ||||
\(394\) | 7.15624 | − | 12.3950i | 0.360526 | − | 0.624450i | ||||
\(395\) | 2.24228 | 0.112821 | ||||||||
\(396\) | −3.18956 | − | 14.6719i | −0.160281 | − | 0.737293i | ||||
\(397\) | 30.6709 | 1.53933 | 0.769664 | − | 0.638450i | \(-0.220424\pi\) | ||||
0.769664 | + | 0.638450i | \(0.220424\pi\) | |||||||
\(398\) | 17.1958 | − | 29.7840i | 0.861948 | − | 1.49294i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.01629 | − | 6.95642i | −0.200815 | − | 0.347821i | ||||
\(401\) | 3.42402 | + | 5.93057i | 0.170987 | + | 0.296158i | 0.938765 | − | 0.344557i | \(-0.111971\pi\) |
−0.767778 | + | 0.640716i | \(0.778638\pi\) | |||||||
\(402\) | 41.2393 | + | 33.2375i | 2.05683 | + | 1.65773i | ||||
\(403\) | −2.40027 | + | 4.15739i | −0.119566 | + | 0.207095i | ||||
\(404\) | 59.9922 | 2.98472 | ||||||||
\(405\) | 21.4092 | + | 15.2543i | 1.06383 | + | 0.757994i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −7.36113 | + | 12.7499i | −0.364878 | + | 0.631987i | ||||
\(408\) | 18.0836 | + | 14.5748i | 0.895272 | + | 0.721558i | ||||
\(409\) | −9.13490 | − | 15.8221i | −0.451692 | − | 0.782353i | 0.546799 | − | 0.837264i | \(-0.315846\pi\) |
−0.998491 | + | 0.0549104i | \(0.982513\pi\) | |||||||
\(410\) | −6.30445 | − | 10.9196i | −0.311355 | − | 0.539282i | ||||
\(411\) | −12.1094 | + | 4.68050i | −0.597313 | + | 0.230872i | ||||
\(412\) | −4.11646 | + | 7.12991i | −0.202803 | + | 0.351265i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −3.99798 | − | 18.3906i | −0.196490 | − | 0.903851i | ||||
\(415\) | −5.74655 | −0.282087 | ||||||||
\(416\) | 1.95901 | − | 3.39311i | 0.0960485 | − | 0.166361i | ||||
\(417\) | −3.75552 | + | 24.0713i | −0.183909 | + | 1.17878i | ||||
\(418\) | 3.56490 | + | 6.17458i | 0.174365 | + | 0.302009i | ||||
\(419\) | −11.2310 | − | 19.4526i | −0.548669 | − | 0.950322i | −0.998366 | − | 0.0571410i | \(-0.981802\pi\) |
0.449698 | − | 0.893181i | \(-0.351532\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.4177 | − | 18.0440i | 0.507728 | − | 0.879411i | −0.492232 | − | 0.870464i | \(-0.663819\pi\) |
0.999960 | − | 0.00894684i | \(-0.00284791\pi\) | |||||||
\(422\) | −33.0542 | −1.60905 | ||||||||
\(423\) | 11.3701 | + | 3.63636i | 0.552833 | + | 0.176806i | ||||
\(424\) | −26.1477 | −1.26985 | ||||||||
\(425\) | −5.84505 | + | 10.1239i | −0.283526 | + | 0.491082i | ||||
\(426\) | −49.8127 | + | 19.2535i | −2.41343 | + | 0.932834i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −32.3649 | − | 56.0577i | −1.56442 | − | 2.70965i | ||||
\(429\) | −2.67631 | − | 2.15701i | −0.129213 | − | 0.104141i | ||||
\(430\) | 15.1376 | − | 26.2191i | 0.730001 | − | 1.26440i | ||||
\(431\) | 20.2427 | 0.975055 | 0.487527 | − | 0.873108i | \(-0.337899\pi\) | ||||
0.487527 | + | 0.873108i | \(0.337899\pi\) | |||||||
\(432\) | 6.50569 | + | 9.86744i | 0.313005 | + | 0.474748i | ||||
\(433\) | 21.6764 | 1.04170 | 0.520851 | − | 0.853648i | \(-0.325615\pi\) | ||||
0.520851 | + | 0.853648i | \(0.325615\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 4.11011 | + | 3.31260i | 0.197065 | + | 0.158827i | ||||
\(436\) | −28.8346 | − | 49.9431i | −1.38093 | − | 2.39184i | ||||
\(437\) | 2.89978 | + | 5.02257i | 0.138715 | + | 0.240262i | ||||
\(438\) | −40.3178 | + | 15.5835i | −1.92646 | + | 0.744610i | ||||
\(439\) | −17.7390 | + | 30.7249i | −0.846639 | + | 1.46642i | 0.0375520 | + | 0.999295i | \(0.488044\pi\) |
−0.884191 | + | 0.467126i | \(0.845289\pi\) | |||||||
\(440\) | 16.0172 | 0.763589 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 11.5832 | 0.550955 | ||||||||
\(443\) | 9.60313 | − | 16.6331i | 0.456258 | − | 0.790263i | −0.542501 | − | 0.840055i | \(-0.682523\pi\) |
0.998760 | + | 0.0497923i | \(0.0158559\pi\) | |||||||
\(444\) | 10.7355 | − | 68.8101i | 0.509485 | − | 3.26558i | ||||
\(445\) | −9.35716 | − | 16.2071i | −0.443572 | − | 0.768289i | ||||
\(446\) | 5.57946 | + | 9.66391i | 0.264195 | + | 0.457599i | ||||
\(447\) | −0.581980 | + | 3.73025i | −0.0275267 | + | 0.176435i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −29.6082 | −1.39730 | −0.698648 | − | 0.715465i | \(-0.746215\pi\) | ||||
−0.698648 | + | 0.715465i | \(0.746215\pi\) | |||||||
\(450\) | −18.7138 | + | 17.0072i | −0.882176 | + | 0.801728i | ||||
\(451\) | 2.44830 | 0.115286 | ||||||||
\(452\) | −3.12244 | + | 5.40823i | −0.146867 | + | 0.254382i | ||||
\(453\) | 22.6628 | − | 8.75958i | 1.06479 | − | 0.411561i | ||||
\(454\) | −23.5257 | − | 40.7478i | −1.10412 | − | 1.91239i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −12.0543 | − | 9.71534i | −0.564494 | − | 0.454963i | ||||
\(457\) | 4.78098 | − | 8.28090i | 0.223645 | − | 0.387364i | −0.732267 | − | 0.681017i | \(-0.761538\pi\) |
0.955912 | + | 0.293653i | \(0.0948711\pi\) | |||||||
\(458\) | 67.0062 | 3.13099 | ||||||||
\(459\) | 7.70252 | − | 15.3797i | 0.359523 | − | 0.717863i | ||||
\(460\) | 28.3826 | 1.32335 | ||||||||
\(461\) | −10.9187 | + | 18.9118i | −0.508536 | + | 0.880809i | 0.491416 | + | 0.870925i | \(0.336480\pi\) |
−0.999951 | + | 0.00988416i | \(0.996854\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.0744 | + | 22.6456i | 0.607621 | + | 1.05243i | 0.991631 | + | 0.129102i | \(0.0412094\pi\) |
−0.384010 | + | 0.923329i | \(0.625457\pi\) | |||||||
\(464\) | 1.18670 | + | 2.05542i | 0.0550909 | + | 0.0954203i | ||||
\(465\) | −15.4523 | + | 5.97259i | −0.716583 | + | 0.276972i | ||||
\(466\) | 16.4721 | − | 28.5305i | 0.763054 | − | 1.32165i | ||||
\(467\) | −34.9527 | −1.61742 | −0.808709 | − | 0.588209i | \(-0.799833\pi\) | ||||
−0.808709 | + | 0.588209i | \(0.799833\pi\) | |||||||
\(468\) | 15.4873 | + | 4.95311i | 0.715901 | + | 0.228958i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −13.8707 | + | 24.0248i | −0.639809 | + | 1.10818i | ||||
\(471\) | 0.791979 | − | 5.07625i | 0.0364925 | − | 0.233901i | ||||
\(472\) | 24.7386 | + | 42.8485i | 1.13869 | + | 1.97226i | ||||
\(473\) | 2.93930 | + | 5.09102i | 0.135149 | + | 0.234086i | ||||
\(474\) | 0.489233 | − | 3.13578i | 0.0224712 | − | 0.144031i | ||||
\(475\) | 3.89623 | − | 6.74848i | 0.178771 | − | 0.309641i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 4.11362 | + | 18.9226i | 0.188350 | + | 0.866407i | ||||
\(478\) | 26.4021 | 1.20760 | ||||||||
\(479\) | −14.9054 | + | 25.8170i | −0.681047 | + | 1.17961i | 0.293615 | + | 0.955924i | \(0.405142\pi\) |
−0.974662 | + | 0.223684i | \(0.928192\pi\) | |||||||
\(480\) | 12.6116 | − | 4.87460i | 0.575638 | − | 0.222494i | ||||
\(481\) | −7.97172 | − | 13.8074i | −0.363479 | − | 0.629565i | ||||
\(482\) | 27.6516 | + | 47.8939i | 1.25949 | + | 2.18151i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 16.9467 | − | 29.3525i | 0.770304 | − | 1.33421i | ||||
\(485\) | −24.1931 | −1.09855 | ||||||||
\(486\) | 26.0040 | − | 26.6120i | 1.17957 | − | 1.20714i | ||||
\(487\) | 22.4506 | 1.01733 | 0.508667 | − | 0.860964i | \(-0.330139\pi\) | ||||
0.508667 | + | 0.860964i | \(0.330139\pi\) | |||||||
\(488\) | −1.13370 | + | 1.96363i | −0.0513202 | + | 0.0888892i | ||||
\(489\) | −0.523994 | − | 0.422321i | −0.0236958 | − | 0.0190980i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 17.5222 | + | 30.3494i | 0.790767 | + | 1.36965i | 0.925493 | + | 0.378765i | \(0.123651\pi\) |
−0.134726 | + | 0.990883i | \(0.543016\pi\) | |||||||
\(492\) | −10.8026 | + | 4.17541i | −0.487020 | + | 0.188242i | ||||
\(493\) | 1.72704 | − | 2.99132i | 0.0777819 | − | 0.134722i | ||||
\(494\) | −7.72119 | −0.347393 | ||||||||
\(495\) | −2.51986 | − | 11.5913i | −0.113259 | − | 0.520991i | ||||
\(496\) | −7.44830 | −0.334438 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −1.25381 | + | 8.03642i | −0.0561848 | + | 0.360121i | ||||
\(499\) | 4.46760 | + | 7.73811i | 0.199997 | + | 0.346405i | 0.948527 | − | 0.316696i | \(-0.102573\pi\) |
−0.748530 | + | 0.663101i | \(0.769240\pi\) | |||||||
\(500\) | 7.92929 | + | 13.7339i | 0.354609 | + | 0.614200i | ||||
\(501\) | −1.94850 | + | 12.4890i | −0.0870524 | + | 0.557969i | ||||
\(502\) | 9.28972 | − | 16.0903i | 0.414621 | − | 0.718144i | ||||
\(503\) | 12.6403 | 0.563603 | 0.281802 | − | 0.959473i | \(-0.409068\pi\) | ||||
0.281802 | + | 0.959473i | \(0.409068\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 47.3958 | 2.10909 | ||||||||
\(506\) | −4.24620 | + | 7.35463i | −0.188766 | + | 0.326953i | ||||
\(507\) | −17.5303 | + | 6.77577i | −0.778547 | + | 0.300922i | ||||
\(508\) | 7.33732 | + | 12.7086i | 0.325541 | + | 0.563854i | ||||
\(509\) | −14.0555 | − | 24.3449i | −0.623000 | − | 1.07907i | −0.988924 | − | 0.148423i | \(-0.952580\pi\) |
0.365924 | − | 0.930645i | \(-0.380753\pi\) | |||||||
\(510\) | 31.1228 | + | 25.0839i | 1.37814 | + | 1.11073i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 24.5070 | 1.08307 | ||||||||
\(513\) | −5.13440 | + | 10.2519i | −0.226689 | + | 0.452633i | ||||
\(514\) | 24.7661 | 1.09238 | ||||||||
\(515\) | −3.25214 | + | 5.63287i | −0.143306 | + | 0.248214i | ||||
\(516\) | −21.6515 | − | 17.4503i | −0.953153 | − | 0.768208i | ||||
\(517\) | −2.69331 | − | 4.66495i | −0.118452 | − | 0.205164i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 6.55127 | − | 2.53218i | 0.287569 | − | 0.111150i | ||||
\(520\) | −8.67288 | + | 15.0219i | −0.380331 | + | 0.658753i | ||||
\(521\) | 8.47536 | 0.371312 | 0.185656 | − | 0.982615i | \(-0.440559\pi\) | ||||
0.185656 | + | 0.982615i | \(0.440559\pi\) | |||||||
\(522\) | 5.52937 | − | 5.02513i | 0.242014 | − | 0.219944i | ||||
\(523\) | 33.4473 | 1.46255 | 0.731273 | − | 0.682085i | \(-0.238926\pi\) | ||||
0.731273 | + | 0.682085i | \(0.238926\pi\) | |||||||
\(524\) | 9.85035 | − | 17.0613i | 0.430315 | − | 0.745327i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −22.8341 | − | 39.5498i | −0.995613 | − | 1.72445i | ||||
\(527\) | 5.41988 | + | 9.38751i | 0.236094 | + | 0.408926i | ||||
\(528\) | 0.822124 | − | 5.26947i | 0.0357784 | − | 0.229324i | ||||
\(529\) | 8.04603 | − | 13.9361i | 0.349827 | − | 0.605919i | ||||
\(530\) | −45.0015 | −1.95474 | ||||||||
\(531\) | 27.1167 | − | 24.6439i | 1.17677 | − | 1.06945i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −1.32569 | + | 2.29616i | −0.0574220 | + | 0.0994579i | ||||
\(534\) | −24.7068 | + | 9.54962i | −1.06917 | + | 0.413253i | ||||
\(535\) | −25.5693 | − | 44.2874i | −1.10546 | − | 1.91471i | ||||
\(536\) | 25.9493 | + | 44.9456i | 1.12084 | + | 1.94135i | ||||
\(537\) | 14.2744 | + | 11.5047i | 0.615987 | + | 0.496464i | ||||
\(538\) | −10.5461 | + | 18.2665i | −0.454677 | + | 0.787523i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 30.8866 | + | 46.8469i | 1.32915 | + | 2.01597i | ||||
\(541\) | 18.2586 | 0.784998 | 0.392499 | − | 0.919752i | \(-0.371611\pi\) | ||||
0.392499 | + | 0.919752i | \(0.371611\pi\) | |||||||
\(542\) | −21.8865 | + | 37.9085i | −0.940106 | + | 1.62831i | ||||
\(543\) | −26.4740 | − | 21.3371i | −1.13611 | − | 0.915664i | ||||
\(544\) | −4.42350 | − | 7.66173i | −0.189656 | − | 0.328494i | ||||
\(545\) | −22.7803 | − | 39.4567i | −0.975802 | − | 1.69014i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.88599 | + | 4.99869i | −0.123396 | + | 0.213728i | −0.921105 | − | 0.389315i | \(-0.872712\pi\) |
0.797709 | + | 0.603043i | \(0.206045\pi\) | |||||||
\(548\) | −27.7117 | −1.18378 | ||||||||
\(549\) | 1.59940 | + | 0.511515i | 0.0682606 | + | 0.0218309i | ||||
\(550\) | 11.4106 | 0.486551 | ||||||||
\(551\) | −1.15122 | + | 1.99397i | −0.0490437 | + | 0.0849461i | ||||
\(552\) | 2.84269 | − | 18.2205i | 0.120993 | − | 0.775515i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 6.09227 | + | 10.5521i | 0.258836 | + | 0.448317i | ||||
\(555\) | 8.48141 | − | 54.3622i | 0.360016 | − | 2.30755i | ||||
\(556\) | −26.0014 | + | 45.0358i | −1.10271 | + | 1.90994i | ||||
\(557\) | −33.3821 | −1.41445 | −0.707223 | − | 0.706991i | \(-0.750052\pi\) | ||||
−0.707223 | + | 0.706991i | \(0.750052\pi\) | |||||||
\(558\) | 4.98106 | + | 22.9128i | 0.210865 | + | 0.969977i | ||||
\(559\) | −6.36623 | −0.269263 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −7.23964 | + | 2.79825i | −0.305658 | + | 0.118142i | ||||
\(562\) | 2.03643 | + | 3.52720i | 0.0859015 | + | 0.148786i | ||||
\(563\) | 1.09566 | + | 1.89773i | 0.0461764 | + | 0.0799799i | 0.888190 | − | 0.459477i | \(-0.151963\pi\) |
−0.842013 | + | 0.539457i | \(0.818630\pi\) | |||||||
\(564\) | 19.8394 | + | 15.9899i | 0.835392 | + | 0.673296i | ||||
\(565\) | −2.46683 | + | 4.27268i | −0.103780 | + | 0.179753i | ||||
\(566\) | −29.8079 | −1.25292 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −52.3278 | −2.19563 | ||||||||
\(569\) | −9.49302 | + | 16.4424i | −0.397968 | + | 0.689301i | −0.993475 | − | 0.114049i | \(-0.963618\pi\) |
0.595507 | + | 0.803350i | \(0.296951\pi\) | |||||||
\(570\) | −20.7460 | − | 16.7206i | −0.868956 | − | 0.700348i | ||||
\(571\) | 10.8690 | + | 18.8257i | 0.454854 | + | 0.787831i | 0.998680 | − | 0.0513674i | \(-0.0163580\pi\) |
−0.543825 | + | 0.839198i | \(0.683025\pi\) | |||||||
\(572\) | −3.66858 | − | 6.35417i | −0.153391 | − | 0.265681i | ||||
\(573\) | 13.3885 | − | 5.17488i | 0.559311 | − | 0.216184i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 9.28172 | 0.387074 | ||||||||
\(576\) | −6.96449 | − | 32.0366i | −0.290187 | − | 1.33486i | ||||
\(577\) | −30.9032 | −1.28652 | −0.643258 | − | 0.765649i | \(-0.722418\pi\) | ||||
−0.643258 | + | 0.765649i | \(0.722418\pi\) | |||||||
\(578\) | −7.21083 | + | 12.4895i | −0.299931 | + | 0.519496i | ||||
\(579\) | 5.01553 | − | 32.1474i | 0.208438 | − | 1.33600i | ||||
\(580\) | 5.63398 | + | 9.75835i | 0.233938 | + | 0.405193i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −5.27858 | + | 33.8335i | −0.218804 | + | 1.40244i | ||||
\(583\) | 4.36902 | − | 7.56737i | 0.180946 | − | 0.313408i | ||||
\(584\) | −42.3535 | −1.75260 | ||||||||
\(585\) | 12.2355 | + | 3.91312i | 0.505875 | + | 0.161788i | ||||
\(586\) | 12.4214 | 0.513122 | ||||||||
\(587\) | 9.18332 | − | 15.9060i | 0.379036 | − | 0.656510i | −0.611886 | − | 0.790946i | \(-0.709589\pi\) |
0.990922 | + | 0.134436i | \(0.0429222\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.61282 | − | 6.25759i | −0.148864 | − | 0.257840i | ||||
\(590\) | 42.5763 | + | 73.7444i | 1.75284 | + | 3.03601i | ||||
\(591\) | −8.08650 | − | 6.51743i | −0.332634 | − | 0.268091i | ||||
\(592\) | 12.3685 | − | 21.4230i | 0.508344 | − | 0.880478i | ||||
\(593\) | 27.7550 | 1.13976 | 0.569880 | − | 0.821728i | \(-0.306990\pi\) | ||||
0.569880 | + | 0.821728i | \(0.306990\pi\) | |||||||
\(594\) | −16.7600 | + | 0.994906i | −0.687671 | + | 0.0408215i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −4.02936 | + | 6.97905i | −0.165049 | + | 0.285873i | ||||
\(597\) | −19.4311 | − | 15.6608i | −0.795264 | − | 0.640955i | ||||
\(598\) | −4.59841 | − | 7.96468i | −0.188043 | − | 0.325700i | ||||
\(599\) | −0.201412 | − | 0.348855i | −0.00822945 | − | 0.0142538i | 0.861881 | − | 0.507110i | \(-0.169286\pi\) |
−0.870111 | + | 0.492856i | \(0.835953\pi\) | |||||||
\(600\) | −23.1114 | + | 8.93298i | −0.943520 | + | 0.364687i | ||||
\(601\) | −12.3733 | + | 21.4312i | −0.504717 | + | 0.874196i | 0.495268 | + | 0.868740i | \(0.335070\pi\) |
−0.999985 | + | 0.00545577i | \(0.998263\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 28.4438 | − | 25.8500i | 1.15832 | − | 1.05269i | ||||
\(604\) | 51.8626 | 2.11026 | ||||||||
\(605\) | 13.3885 | − | 23.1895i | 0.544318 | − | 0.942787i | ||||
\(606\) | 10.3411 | − | 66.2819i | 0.420077 | − | 2.69252i | ||||
\(607\) | 12.0348 | + | 20.8449i | 0.488479 | + | 0.846070i | 0.999912 | − | 0.0132531i | \(-0.00421872\pi\) |
−0.511434 | + | 0.859323i | \(0.670885\pi\) | |||||||
\(608\) | 2.94865 | + | 5.10721i | 0.119584 | + | 0.207125i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.95115 | + | 3.37950i | −0.0789999 | + | 0.136832i | ||||
\(611\) | 5.83343 | 0.235995 | ||||||||
\(612\) | 27.1712 | − | 24.6934i | 1.09833 | − | 0.998172i | ||||
\(613\) | −20.3815 | −0.823200 | −0.411600 | − | 0.911365i | \(-0.635030\pi\) | ||||
−0.411600 | + | 0.911365i | \(0.635030\pi\) | |||||||
\(614\) | −5.96879 | + | 10.3382i | −0.240881 | + | 0.417218i | ||||
\(615\) | −8.53443 | + | 3.29871i | −0.344142 | + | 0.133017i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −20.9315 | − | 36.2544i | −0.842669 | − | 1.45955i | −0.887630 | − | 0.460558i | \(-0.847650\pi\) |
0.0449604 | − | 0.998989i | \(-0.485684\pi\) | |||||||
\(618\) | 7.16786 | + | 5.77705i | 0.288334 | + | 0.232387i | ||||
\(619\) | 7.41095 | − | 12.8361i | 0.297871 | − | 0.515928i | −0.677777 | − | 0.735267i | \(-0.737057\pi\) |
0.975649 | + | 0.219339i | \(0.0703900\pi\) | |||||||
\(620\) | −35.3617 | −1.42016 | ||||||||
\(621\) | −13.6330 | + | 0.809283i | −0.547075 | + | 0.0324754i | ||||
\(622\) | −77.3270 | −3.10053 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 4.49687 | + | 3.62432i | 0.180019 | + | 0.145089i | ||||
\(625\) | 15.0930 | + | 26.1419i | 0.603722 | + | 1.04568i | ||||
\(626\) | −1.81291 | − | 3.14005i | −0.0724585 | − | 0.125502i | ||||
\(627\) | 4.82585 | − | 1.86528i | 0.192726 | − | 0.0744920i | ||||
\(628\) | 5.48329 | − | 9.49734i | 0.218807 | − | 0.378985i | ||||
\(629\) | −36.0007 | −1.43544 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −21.0294 | −0.837169 | −0.418585 | − | 0.908178i | \(-0.637474\pi\) | ||||
−0.418585 | + | 0.908178i | \(0.637474\pi\) | |||||||
\(632\) | 1.55487 | − | 2.69312i | 0.0618496 | − | 0.107127i | ||||
\(633\) | −3.69749 | + | 23.6994i | −0.146962 | + | 0.941965i | ||||
\(634\) | −25.6694 | − | 44.4607i | −1.01946 | − | 1.76576i | ||||
\(635\) | 5.79673 | + | 10.0402i | 0.230036 | + | 0.398434i | ||||
\(636\) | −6.37180 | + | 40.8406i | −0.252658 | + | 1.61943i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −3.37150 | −0.133479 | ||||||||
\(639\) | 8.23233 | + | 37.8686i | 0.325666 | + | 1.49806i | ||||
\(640\) | 60.5764 | 2.39449 | ||||||||
\(641\) | −5.96592 | + | 10.3333i | −0.235640 | + | 0.408140i | −0.959458 | − | 0.281850i | \(-0.909052\pi\) |
0.723819 | + | 0.689990i | \(0.242385\pi\) | |||||||
\(642\) | −67.5138 | + | 26.0953i | −2.66456 | + | 1.02990i | ||||
\(643\) | 19.9678 | + | 34.5852i | 0.787452 | + | 1.36391i | 0.927524 | + | 0.373765i | \(0.121933\pi\) |
−0.140072 | + | 0.990141i | \(0.544733\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −17.1054 | − | 13.7863i | −0.673524 | − | 0.542837i | ||||
\(646\) | −8.71733 | + | 15.0989i | −0.342979 | + | 0.594057i | ||||
\(647\) | 0.988954 | 0.0388798 | 0.0194399 | − | 0.999811i | \(-0.493812\pi\) | ||||
0.0194399 | + | 0.999811i | \(0.493812\pi\) | |||||||
\(648\) | 33.1673 | − | 15.1359i | 1.30293 | − | 0.594595i | ||||
\(649\) | −16.5343 | −0.649027 | ||||||||
\(650\) | −6.17856 | + | 10.7016i | −0.242343 | + | 0.419751i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.718272 | − | 1.24408i | −0.0281297 | − | 0.0487221i | ||||
\(653\) | −11.3573 | − | 19.6715i | −0.444447 | − | 0.769804i | 0.553567 | − | 0.832805i | \(-0.313266\pi\) |
−0.998014 | + | 0.0630004i | \(0.979933\pi\) | |||||||
\(654\) | −60.1496 | + | 23.2489i | −2.35203 | + | 0.909103i | ||||
\(655\) | 7.78211 | − | 13.4790i | 0.304072 | − | 0.526668i | ||||
\(656\) | −4.11376 | −0.160615 | ||||||||
\(657\) | 6.66315 | + | 30.6504i | 0.259954 | + | 1.19579i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −19.1943 | + | 33.2454i | −0.747702 | + | 1.29506i | 0.201220 | + | 0.979546i | \(0.435509\pi\) |
−0.948922 | + | 0.315512i | \(0.897824\pi\) | |||||||
\(660\) | 3.90314 | − | 25.0175i | 0.151929 | − | 0.973804i | ||||
\(661\) | 16.9629 | + | 29.3806i | 0.659780 | + | 1.14277i | 0.980672 | + | 0.195657i | \(0.0626839\pi\) |
−0.320892 | + | 0.947116i | \(0.603983\pi\) | |||||||
\(662\) | 23.2458 | + | 40.2628i | 0.903472 | + | 1.56486i | ||||
\(663\) | 1.29571 | − | 8.30495i | 0.0503212 | − | 0.322538i | ||||
\(664\) | −3.98486 | + | 6.90198i | −0.154642 | + | 0.267849i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −74.1738 | − | 23.7221i | −2.87418 | − | 0.919213i | ||||
\(667\) | −2.74247 | −0.106189 | ||||||||
\(668\) | −13.4905 | + | 23.3662i | −0.521962 | + | 0.904064i | ||||
\(669\) | 7.55300 | − | 2.91937i | 0.292016 | − | 0.112869i | ||||
\(670\) | 44.6601 | + | 77.3535i | 1.72537 | + | 2.98843i | ||||
\(671\) | −0.378860 | − | 0.656205i | −0.0146257 | − | 0.0253325i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −16.1030 | + | 27.8912i | −0.620725 | + | 1.07513i | 0.368626 | + | 0.929578i | \(0.379828\pi\) |
−0.989351 | + | 0.145549i | \(0.953505\pi\) | |||||||
\(674\) | 23.1403 | 0.891332 | ||||||||
\(675\) | 10.1006 | + | 15.3199i | 0.388771 | + | 0.589665i | ||||
\(676\) | −40.1171 | −1.54297 | ||||||||
\(677\) | −18.9842 | + | 32.8816i | −0.729622 | + | 1.26374i | 0.227421 | + | 0.973797i | \(0.426971\pi\) |
−0.957043 | + | 0.289946i | \(0.906363\pi\) | |||||||
\(678\) | 5.43702 | + | 4.38204i | 0.208807 | + | 0.168291i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 19.5836 | + | 33.9198i | 0.750997 | + | 1.30076i | ||||
\(681\) | −31.8471 | + | 12.3095i | −1.22038 | + | 0.471700i | ||||
\(682\) | 5.29031 | − | 9.16309i | 0.202577 | − | 0.350873i | ||||
\(683\) | −15.1871 | −0.581120 | −0.290560 | − | 0.956857i | \(-0.593842\pi\) | ||||
−0.290560 | + | 0.956857i | \(0.593842\pi\) | |||||||
\(684\) | −18.1120 | + | 16.4603i | −0.692529 | + | 0.629376i | ||||
\(685\) | −21.8932 | −0.836495 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 7.49540 | − | 48.0424i | 0.285967 | − | 1.83293i | ||||
\(688\) | −4.93877 | − | 8.55420i | −0.188289 | − | 0.326126i | ||||
\(689\) | 4.73142 | + | 8.19507i | 0.180253 | + | 0.312207i | ||||
\(690\) | 4.89241 | − | 31.3583i | 0.186251 | − | 1.19379i | ||||
\(691\) | 1.34574 | − | 2.33089i | 0.0511943 | − | 0.0886711i | −0.839293 | − | 0.543680i | \(-0.817031\pi\) |
0.890487 | + | 0.455009i | \(0.150364\pi\) | |||||||
\(692\) | 14.9922 | 0.569919 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −4.83589 | −0.183568 | ||||||||
\(695\) | −20.5420 | + | 35.5798i | −0.779203 | + | 1.34962i | ||||
\(696\) | 6.82874 | − | 2.63943i | 0.258843 | − | 0.100047i | ||||
\(697\) | 2.99344 | + | 5.18480i | 0.113385 | + | 0.196388i | ||||
\(698\) | 19.4429 | + | 33.6761i | 0.735924 | + | 1.27466i | ||||
\(699\) | −18.6133 | − | 15.0017i | −0.704021 | − | 0.567416i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −11.8515 | −0.447625 | −0.223813 | − | 0.974632i | \(-0.571850\pi\) | ||||
−0.223813 | + | 0.974632i | \(0.571850\pi\) | |||||||
\(702\) | 8.14202 | − | 16.2573i | 0.307301 | − | 0.613590i | ||||
\(703\) | 23.9976 | 0.905088 | ||||||||
\(704\) | −7.39689 | + | 12.8118i | −0.278781 | + | 0.482862i | ||||
\(705\) | 15.6738 | + | 12.6326i | 0.590310 | + | 0.475769i | ||||
\(706\) | −20.3617 | − | 35.2675i | −0.766323 | − | 1.32731i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 72.9542 | − | 28.1981i | 2.74179 | − | 1.05975i | ||||
\(709\) | 20.5167 | − | 35.5359i | 0.770520 | − | 1.33458i | −0.166759 | − | 0.985998i | \(-0.553330\pi\) |
0.937278 | − | 0.348582i | \(-0.113337\pi\) | |||||||
\(710\) | −90.0587 | −3.37984 | ||||||||
\(711\) | −2.19358 | − | 0.701545i | −0.0822656 | − | 0.0263100i | ||||
\(712\) | −25.9543 | −0.972679 | ||||||||
\(713\) | 4.30328 | − | 7.45351i | 0.161159 | − | 0.279136i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.89830 | − | 5.02001i | −0.108390 | − | 0.187738i | ||||
\(716\) | 19.5669 | + | 33.8908i | 0.731248 | + | 1.26656i | ||||
\(717\) | 2.95337 | − | 18.9299i | 0.110296 | − | 0.706949i | ||||
\(718\) | −3.54123 | + | 6.13359i | −0.132158 | + | 0.228904i | ||||
\(719\) | 20.9109 | 0.779845 | 0.389923 | − | 0.920848i | \(-0.372502\pi\) | ||||
0.389923 | + | 0.920848i | \(0.372502\pi\) | |||||||
\(720\) | 4.23400 | + | 19.4763i | 0.157792 | + | 0.725840i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −16.8644 | + | 29.2100i | −0.627628 | + | 1.08708i | ||||
\(723\) | 37.4323 | − | 14.4683i | 1.39212 | − | 0.538081i | ||||
\(724\) | −36.2896 | − | 62.8554i | −1.34869 | − | 2.33600i | ||||
\(725\) | 1.84243 | + | 3.19119i | 0.0684263 | + | 0.118518i | ||||
\(726\) | −29.5088 | − | 23.7831i | −1.09517 | − | 0.882672i | ||||
\(727\) | −1.32165 | + | 2.28917i | −0.0490173 | + | 0.0849005i | −0.889493 | − | 0.456949i | \(-0.848942\pi\) |
0.840476 | + | 0.541849i | \(0.182276\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −16.1715 | − | 21.6213i | −0.598945 | − | 0.800790i | ||||
\(730\) | −72.8924 | −2.69787 | ||||||||
\(731\) | −7.18756 | + | 12.4492i | −0.265841 | + | 0.460451i | ||||
\(732\) | 2.79075 | + | 2.24925i | 0.103149 | + | 0.0831347i | ||||
\(733\) | 7.07446 | + | 12.2533i | 0.261301 | + | 0.452587i | 0.966588 | − | 0.256335i | \(-0.0825151\pi\) |
−0.705287 | + | 0.708922i | \(0.749182\pi\) | |||||||
\(734\) | 12.1223 | + | 20.9964i | 0.447442 | + | 0.774992i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.51218 | + | 6.08327i | −0.129461 | + | 0.224232i | ||||
\(737\) | −17.3435 | −0.638855 | ||||||||
\(738\) | 2.75108 | + | 12.6549i | 0.101269 | + | 0.465835i | ||||
\(739\) | 15.7181 | 0.578200 | 0.289100 | − | 0.957299i | \(-0.406644\pi\) | ||||
0.289100 | + | 0.957299i | \(0.406644\pi\) | |||||||
\(740\) | 58.7212 | − | 101.708i | 2.15864 | − | 3.73887i | ||||
\(741\) | −0.863704 | + | 5.53598i | −0.0317289 | + | 0.203369i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 10.5496 | + | 18.2724i | 0.387026 | + | 0.670348i | 0.992048 | − | 0.125861i | \(-0.0401692\pi\) |
−0.605022 | + | 0.796208i | \(0.706836\pi\) | |||||||
\(744\) | −3.54170 | + | 22.7008i | −0.129845 | + | 0.832252i | ||||
\(745\) | −3.18333 | + | 5.51368i | −0.116628 | + | 0.202006i | ||||
\(746\) | 60.8283 | 2.22708 | ||||||||
\(747\) | 5.62174 | + | 1.79793i | 0.205689 | + | 0.0657828i | ||||
\(748\) | −16.5675 | −0.605768 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 16.5406 | − | 6.39325i | 0.603979 | − | 0.233449i | ||||
\(751\) | −6.51848 | − | 11.2903i | −0.237863 | − | 0.411990i | 0.722238 | − | 0.691644i | \(-0.243113\pi\) |
−0.960101 | + | 0.279654i | \(0.909780\pi\) | |||||||
\(752\) | 4.52544 | + | 7.83829i | 0.165026 | + | 0.285833i | ||||
\(753\) | −10.4973 | − | 8.46047i | −0.382543 | − | 0.308317i | ||||
\(754\) | 1.82558 | − | 3.16200i | 0.0664838 | − | 0.115153i | ||||
\(755\) | 40.9732 | 1.49117 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −12.6856 | −0.461065 | −0.230532 | − | 0.973065i | \(-0.574047\pi\) | ||||
−0.230532 | + | 0.973065i | \(0.574047\pi\) | |||||||
\(758\) | 11.7613 | − | 20.3711i | 0.427188 | − | 0.739912i | ||||
\(759\) | 4.79817 | + | 3.86716i | 0.174162 | + | 0.140369i | ||||
\(760\) | −13.0542 | − | 22.6105i | −0.473525 | − | 0.820169i | ||||
\(761\) | −3.02038 | − | 5.23146i | −0.109489 | − | 0.189640i | 0.806074 | − | 0.591814i | \(-0.201588\pi\) |
−0.915563 | + | 0.402174i | \(0.868255\pi\) | |||||||
\(762\) | 15.3058 | − | 5.91596i | 0.554470 | − | 0.214313i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 30.6388 | 1.10847 | ||||||||
\(765\) | 21.4662 | − | 19.5086i | 0.776111 | − | 0.705336i | ||||
\(766\) | −65.1918 | −2.35547 | ||||||||
\(767\) | 8.95288 | − | 15.5068i | 0.323270 | − | 0.559920i | ||||
\(768\) | 7.38122 | − | 47.3105i | 0.266347 | − | 1.70717i | ||||
\(769\) | −0.108129 | − | 0.187285i | −0.00389924 | − | 0.00675368i | 0.864069 | − | 0.503373i | \(-0.167908\pi\) |
−0.867968 | + | 0.496619i | \(0.834575\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 2.77037 | − | 17.7569i | 0.0997724 | − | 0.639499i | ||||
\(772\) | 34.7251 | − | 60.1457i | 1.24979 | − | 2.16469i | ||||
\(773\) | 37.6264 | 1.35333 | 0.676663 | − | 0.736293i | \(-0.263425\pi\) | ||||
0.676663 | + | 0.736293i | \(0.263425\pi\) | |||||||
\(774\) | −23.0120 | + | 20.9135i | −0.827150 | + | 0.751721i | ||||
\(775\) | −11.5640 | −0.415393 | ||||||||
\(776\) | −16.7763 | + | 29.0575i | −0.602235 | + | 1.04310i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 4.99388 | + | 8.64965i | 0.179039 | + | 0.310105i | ||||
\(779\) | −1.99539 | − | 3.45612i | −0.0714923 | − | 0.123828i | ||||
\(780\) | 21.3495 | + | 17.2069i | 0.764433 | + | 0.616106i | ||||
\(781\) | 8.74345 | − | 15.1441i | 0.312865 | − | 0.541898i | ||||
\(782\) | −20.7667 | −0.742614 | ||||||||
\(783\) | −2.98442 | − | 4.52659i | −0.106654 | − | 0.161767i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 4.33198 | − | 7.50321i | 0.154615 | − | 0.267801i | ||||
\(786\) | −17.1521 | − | 13.8240i | −0.611796 | − | 0.493086i | ||||
\(787\) | 15.4067 | + | 26.6853i | 0.549191 | + | 0.951226i | 0.998330 | + | 0.0577648i | \(0.0183973\pi\) |
−0.449139 | + | 0.893462i | \(0.648269\pi\) | |||||||
\(788\) | −11.0847 | − | 19.1992i | −0.394875 | − | 0.683943i | ||||
\(789\) | −30.9108 | + | 11.9476i | −1.10045 | + | 0.425345i | ||||
\(790\) | 2.67601 | − | 4.63499i | 0.0952083 | − | 0.164906i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −15.6693 | − | 5.01131i | −0.556783 | − | 0.178069i | ||||
\(793\) | 0.820571 | 0.0291393 | ||||||||
\(794\) | 36.6037 | − | 63.3994i | 1.29902 | − | 2.24996i | ||||
\(795\) | −5.03393 | + | 32.2654i | −0.178535 | + | 1.14434i | ||||
\(796\) | −26.6355 | − | 46.1340i | −0.944070 | − | 1.63518i | ||||
\(797\) | 17.9792 | + | 31.1408i | 0.636855 | + | 1.10306i | 0.986119 | + | 0.166040i | \(0.0530981\pi\) |
−0.349264 | + | 0.937024i | \(0.613569\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.58602 | − | 11.4073i | 0.232997 | − | 0.403562i | ||||
\(800\) | 9.43814 | 0.333689 | ||||||||
\(801\) | 4.08319 | + | 18.7826i | 0.144272 | + | 0.663652i | ||||
\(802\) | 16.3454 | 0.577174 | ||||||||
\(803\) | 7.07684 | − | 12.2574i | 0.249736 | − | 0.432556i | ||||
\(804\) | 76.5246 | − | 29.5781i | 2.69882 | − | 1.04314i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 5.72914 | + | 9.92315i | 0.201800 | + | 0.349528i | ||||
\(807\) | 11.9171 | + | 9.60474i | 0.419501 | + | 0.338103i | ||||
\(808\) | 32.8659 | − | 56.9254i | 1.15622 | − | 2.00263i | ||||
\(809\) | 38.9636 | 1.36989 | 0.684943 | − | 0.728596i | \(-0.259827\pi\) | ||||
0.684943 | + | 0.728596i | \(0.259827\pi\) | |||||||
\(810\) | 57.0825 | − | 26.0496i | 2.00568 | − | 0.915291i | ||||
\(811\) | 28.2811 | 0.993082 | 0.496541 | − | 0.868013i | \(-0.334603\pi\) | ||||
0.496541 | + | 0.868013i | \(0.334603\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 24.7316 | + | 19.9328i | 0.867374 | + | 0.699073i | ||||
\(814\) | 17.5701 | + | 30.4322i | 0.615830 | + | 1.06665i | ||||
\(815\) | −0.567459 | − | 0.982867i | −0.0198772 | − | 0.0344283i | ||||
\(816\) | 12.1644 | − | 4.70176i | 0.425840 | − | 0.164595i | ||||
\(817\) | 4.79113 | − | 8.29849i | 0.167621 | − | 0.290327i | ||||
\(818\) | −43.6076 | −1.52471 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −19.5306 | −0.682037 | ||||||||
\(821\) | −20.7917 | + | 36.0123i | −0.725635 | + | 1.25684i | 0.233077 | + | 0.972458i | \(0.425121\pi\) |
−0.958712 | + | 0.284378i | \(0.908213\pi\) | |||||||
\(822\) | −4.77677 | + | 30.6171i | −0.166609 | + | 1.06789i | ||||
\(823\) | −4.22999 | − | 7.32656i | −0.147448 | − | 0.255388i | 0.782835 | − | 0.622229i | \(-0.213773\pi\) |
−0.930284 | + | 0.366841i | \(0.880439\pi\) | |||||||
\(824\) | 4.51029 | + | 7.81205i | 0.157123 | + | 0.272146i | ||||
\(825\) | 1.27641 | − | 8.18125i | 0.0444389 | − | 0.284834i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 44.2823 | 1.53985 | 0.769923 | − | 0.638137i | \(-0.220294\pi\) | ||||
0.769923 | + | 0.638137i | \(0.220294\pi\) | |||||||
\(828\) | −27.7661 | − | 8.88010i | −0.964939 | − | 0.308605i | ||||
\(829\) | −16.6327 | −0.577679 | −0.288839 | − | 0.957378i | \(-0.593269\pi\) | ||||
−0.288839 | + | 0.957378i | \(0.593269\pi\) | |||||||
\(830\) | −6.85813 | + | 11.8786i | −0.238049 | + | 0.412314i | ||||
\(831\) | 8.24720 | − | 3.18769i | 0.286092 | − | 0.110580i | ||||
\(832\) | −8.01045 | − | 13.8745i | −0.277712 | − | 0.481012i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 45.2755 | + | 36.4905i | 1.56776 | + | 1.26356i | ||||
\(835\) | −10.6579 | + | 18.4601i | −0.368832 | + | 0.638836i | ||||
\(836\) | 11.0437 | 0.381954 | ||||||||
\(837\) | 16.9853 | − | 1.00828i | 0.587099 | − | 0.0348513i | ||||
\(838\) | −53.6137 | −1.85205 | ||||||||
\(839\) | −14.8006 | + | 25.6354i | −0.510974 | + | 0.885033i | 0.488945 | + | 0.872314i | \(0.337382\pi\) |
−0.999919 | + | 0.0127182i | \(0.995952\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 13.9556 | + | 24.1718i | 0.481228 | + | 0.833512i | ||||
\(842\) | −24.8657 | − | 43.0687i | −0.856929 | − | 1.48424i | ||||
\(843\) | 2.75674 | − | 1.06553i | 0.0949473 | − | 0.0366988i | ||||
\(844\) | −25.5997 | + | 44.3400i | −0.881178 | + | 1.52624i | ||||
\(845\) | −31.6938 | −1.09030 | ||||||||
\(846\) | 21.0861 | − | 19.1632i | 0.724956 | − | 0.658846i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −7.34105 | + | 12.7151i | −0.252093 | + | 0.436638i | ||||
\(849\) | −3.33436 | + | 21.3718i | −0.114435 | + | 0.733479i | ||||
\(850\) | 13.9514 | + | 24.1645i | 0.478528 | + | 0.828834i | ||||
\(851\) | 14.2920 | + | 24.7544i | 0.489922 | + | 0.848570i | ||||
\(852\) | −12.7515 | + | 81.7316i | −0.436859 | + | 2.80008i | ||||
\(853\) | 15.0619 | − | 26.0880i | 0.515710 | − | 0.893236i | −0.484124 | − | 0.875000i | \(-0.660861\pi\) |
0.999834 | − | 0.0182366i | \(-0.00580520\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −14.3091 | + | 13.0042i | −0.489360 | + | 0.444734i | ||||
\(856\) | −70.9227 | −2.42409 | ||||||||
\(857\) | 18.5447 | − | 32.1204i | 0.633475 | − | 1.09721i | −0.353361 | − | 0.935487i | \(-0.614961\pi\) |
0.986836 | − | 0.161724i | \(-0.0517053\pi\) | |||||||
\(858\) | −7.65273 | + | 2.95792i | −0.261260 | + | 0.100982i | ||||
\(859\) | −1.89166 | − | 3.27646i | −0.0645427 | − | 0.111791i | 0.831948 | − | 0.554853i | \(-0.187226\pi\) |
−0.896491 | + | 0.443062i | \(0.853892\pi\) | |||||||
\(860\) | −23.4474 | − | 40.6121i | −0.799551 | − | 1.38486i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 24.1583 | − | 41.8434i | 0.822835 | − | 1.42519i | ||||
\(863\) | −0.427118 | −0.0145393 | −0.00726963 | − | 0.999974i | \(-0.502314\pi\) | ||||
−0.00726963 | + | 0.999974i | \(0.502314\pi\) | |||||||
\(864\) | −13.8628 | + | 0.822922i | −0.471621 | + | 0.0279964i | ||||
\(865\) | 11.8444 | 0.402720 | ||||||||
\(866\) | 25.8694 | − | 44.8071i | 0.879077 | − | 1.52261i | ||||
\(867\) | 8.14818 | + | 6.56715i | 0.276727 | + | 0.223032i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0.519608 | + | 0.899987i | 0.0176265 | + | 0.0305300i | ||||
\(870\) | 11.7526 | − | 4.54259i | 0.398450 | − | 0.154008i | ||||
\(871\) | 9.39105 | − | 16.2658i | 0.318203 | − | 0.551145i | ||||
\(872\) | −63.1866 | −2.13977 | ||||||||
\(873\) | 23.6676 | + | 7.56932i | 0.801027 | + | 0.256183i | ||||
\(874\) | 13.8428 | 0.468240 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −10.3209 | + | 66.1525i | −0.348710 | + | 2.23509i | ||||
\(877\) | −5.63038 | − | 9.75210i | −0.190124 | − | 0.329305i | 0.755167 | − | 0.655532i | \(-0.227556\pi\) |
−0.945291 | + | 0.326228i | \(0.894222\pi\) | |||||||
\(878\) | 42.3408 | + | 73.3364i | 1.42893 | + | 2.47498i | ||||
\(879\) | 1.38947 | − | 8.90594i | 0.0468658 | − | 0.300390i | ||||
\(880\) | 4.49687 | − | 7.78881i | 0.151589 | − | 0.262561i | ||||
\(881\) | 35.4810 | 1.19538 | 0.597692 | − | 0.801726i | \(-0.296084\pi\) | ||||
0.597692 | + | 0.801726i | \(0.296084\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −5.30092 | −0.178390 | −0.0891952 | − | 0.996014i | \(-0.528429\pi\) | ||||
−0.0891952 | + | 0.996014i | \(0.528429\pi\) | |||||||
\(884\) | 8.97088 | − | 15.5380i | 0.301723 | − | 0.522600i | ||||
\(885\) | 57.6362 | − | 22.2774i | 1.93742 | − | 0.748847i | ||||
\(886\) | −22.9214 | − | 39.7010i | −0.770060 | − | 1.33378i | ||||
\(887\) | 28.7832 | + | 49.8540i | 0.966446 | + | 1.67393i | 0.705679 | + | 0.708532i | \(0.250642\pi\) |
0.260767 | + | 0.965402i | \(0.416025\pi\) | |||||||
\(888\) | −59.4112 | − | 47.8834i | −1.99371 | − | 1.60686i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −44.6686 | −1.49730 | ||||||||
\(891\) | −1.16146 | + | 12.1279i | −0.0389105 | + | 0.406301i | ||||
\(892\) | 17.2846 | 0.578732 | ||||||||
\(893\) | −4.39016 | + | 7.60398i | −0.146911 | + | 0.254458i | ||||
\(894\) | 7.01620 | + | 5.65481i | 0.234657 | + | 0.189125i | ||||
\(895\) | 15.4585 | + | 26.7749i | 0.516720 | + | 0.894985i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −6.22494 | + | 2.40605i | −0.207845 | + | 0.0803356i | ||||
\(898\) | −35.3354 | + | 61.2027i | −1.17916 | + | 2.04236i | ||||
\(899\) | 3.41683 | 0.113958 | ||||||||
\(900\) | 8.32066 | + | 38.2749i | 0.277355 | + | 1.27583i | ||||
\(901\) | 21.3674 | 0.711850 | ||||||||
\(902\) | 2.92188 | − | 5.06085i | 0.0972881 | − | 0.168508i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 3.42117 | + | 5.92565i | 0.113787 | + | 0.197084i | ||||
\(905\) | −28.6700 | − | 49.6579i | −0.953023 | − | 1.65068i | ||||
\(906\) | 8.93975 | − | 57.3000i | 0.297003 | − | 1.90367i | ||||
\(907\) | −10.4486 | + | 18.0975i | −0.346939 | + | 0.600917i | −0.985704 | − | 0.168485i | \(-0.946112\pi\) |
0.638765 | + | 0.769402i | \(0.279446\pi\) | |||||||
\(908\) | −72.8804 | −2.41862 | ||||||||
\(909\) | −46.3664 | − | 14.8288i | −1.53787 | − | 0.491840i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 11.3819 | − | 19.7141i | 0.377101 | − | 0.653157i | −0.613539 | − | 0.789665i | \(-0.710254\pi\) |
0.990639 | + | 0.136508i | \(0.0435878\pi\) | |||||||
\(912\) | −8.10864 | + | 3.13413i | −0.268504 | + | 0.103782i | ||||
\(913\) | −1.33166 | − | 2.30650i | −0.0440715 | − | 0.0763340i | ||||
\(914\) | −11.4116 | − | 19.7654i | −0.377461 | − | 0.653782i | ||||
\(915\) | 2.20479 | + | 1.77698i | 0.0728881 | + | 0.0587452i | ||||
\(916\) | 51.8946 | − | 89.8841i | 1.71465 | − | 2.96986i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −22.5987 | − | 34.2764i | −0.745870 | − | 1.13129i | ||||
\(919\) | −37.3030 | −1.23051 | −0.615257 | − | 0.788327i | \(-0.710948\pi\) | ||||
−0.615257 | + | 0.788327i | \(0.710948\pi\) | |||||||
\(920\) | 15.5490 | − | 26.9317i | 0.512636 | − | 0.887911i | ||||
\(921\) | 6.74469 | + | 5.43598i | 0.222245 | + | 0.179122i | ||||
\(922\) | 26.0616 | + | 45.1399i | 0.858292 | + | 1.48660i | ||||
\(923\) | 9.46870 | + | 16.4003i | 0.311666 | + | 0.539822i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 19.2031 | − | 33.2607i | 0.631394 | − | 1.09361i | ||||
\(926\) | 62.4140 | 2.05105 | ||||||||
\(927\) | 4.94386 | − | 4.49302i | 0.162378 | − | 0.147570i | ||||
\(928\) | −2.78869 | −0.0915432 | ||||||||
\(929\) | 2.83363 | − | 4.90799i | 0.0929683 | − | 0.161026i | −0.815791 | − | 0.578347i | \(-0.803698\pi\) |
0.908759 | + | 0.417322i | \(0.137031\pi\) | |||||||
\(930\) | −6.09544 | + | 39.0692i | −0.199877 | + | 1.28113i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −25.5145 | − | 44.1923i | −0.835754 | − | 1.44757i | ||||
\(933\) | −8.64991 | + | 55.4423i | −0.283185 | + | 1.81510i | ||||
\(934\) | −41.7138 | + | 72.2503i | −1.36492 | + | 2.36410i | ||||
\(935\) | −13.0889 | −0.428052 | ||||||||
\(936\) | 13.1844 | − | 11.9821i | 0.430946 | − | 0.391647i | ||||
\(937\) | 7.64754 | 0.249834 | 0.124917 | − | 0.992167i | \(-0.460134\pi\) | ||||
0.124917 | + | 0.992167i | \(0.460134\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −2.45416 | + | 0.948578i | −0.0800886 | + | 0.0309557i | ||||
\(940\) | 21.4851 | + | 37.2133i | 0.700766 | + | 1.21376i | ||||
\(941\) | 10.2276 | + | 17.7147i | 0.333410 | + | 0.577483i | 0.983178 | − | 0.182650i | \(-0.0584674\pi\) |
−0.649768 | + | 0.760132i | \(0.725134\pi\) | |||||||
\(942\) | −9.54789 | − | 7.69527i | −0.311087 | − | 0.250725i | ||||
\(943\) | 2.37674 | − | 4.11663i | 0.0773973 | − | 0.134056i | ||||
\(944\) | 27.7817 | 0.904219 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 14.0315 | 0.456202 | ||||||||
\(947\) | 2.38343 | − | 4.12823i | 0.0774512 | − | 0.134149i | −0.824698 | − | 0.565573i | \(-0.808655\pi\) |
0.902150 | + | 0.431423i | \(0.141988\pi\) | |||||||
\(948\) | −3.82753 | − | 3.08485i | −0.124312 | − | 0.100191i | ||||
\(949\) | 7.66385 | + | 13.2742i | 0.248779 | + | 0.430898i | ||||
\(950\) | −9.29980 | − | 16.1077i | −0.301725 | − | 0.522604i | ||||
\(951\) | −34.7491 | + | 13.4311i | −1.12682 | + | 0.435534i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −48.9412 | −1.58536 | −0.792680 | − | 0.609638i | \(-0.791315\pi\) | ||||
−0.792680 | + | 0.609638i | \(0.791315\pi\) | |||||||
\(954\) | 44.0241 | + | 14.0797i | 1.42533 | + | 0.455846i | ||||
\(955\) | 24.2056 | 0.783276 | ||||||||
\(956\) | 20.4478 | − | 35.4166i | 0.661328 | − | 1.14545i | ||||
\(957\) | −0.377141 | + | 2.41732i | −0.0121912 | + | 0.0781407i | ||||
\(958\) | 35.5773 | + | 61.6217i | 1.14945 | + | 1.99091i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 8.52261 | − | 54.6263i | 0.275066 | − | 1.76306i | ||||
\(961\) | 10.1386 | − | 17.5605i | 0.327050 | − | 0.566468i | ||||
\(962\) | −38.0549 | −1.22694 | ||||||||
\(963\) | 11.1577 | + | 51.3254i | 0.359552 | + | 1.65394i | ||||
\(964\) | 85.6619 | 2.75898 | ||||||||
\(965\) | 27.4340 | − | 47.5171i | 0.883132 | − | 1.52963i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −2.95856 | − | 5.12438i | −0.0951409 | − | 0.164789i | 0.814526 | − | 0.580126i | \(-0.196997\pi\) |
−0.909667 | + | 0.415337i | \(0.863664\pi\) | |||||||
\(968\) | −18.5680 | − | 32.1608i | −0.596799 | − | 1.03369i | ||||
\(969\) | 9.85052 | + | 7.93917i | 0.316444 | + | 0.255043i | ||||
\(970\) | −28.8729 | + | 50.0093i | −0.927052 | + | 1.60570i | ||||
\(971\) | 28.9775 | 0.929933 | 0.464966 | − | 0.885328i | \(-0.346066\pi\) | ||||
0.464966 | + | 0.885328i | \(0.346066\pi\) | |||||||
\(972\) | −15.5587 | − | 55.4929i | −0.499044 | − | 1.77994i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 26.7933 | − | 46.4074i | 0.858513 | − | 1.48699i | ||||
\(975\) | 6.98173 | + | 5.62703i | 0.223594 | + | 0.180209i | ||||
\(976\) | 0.636580 | + | 1.10259i | 0.0203764 | + | 0.0352930i | ||||
\(977\) | −11.4228 | − | 19.7848i | −0.365447 | − | 0.632972i | 0.623401 | − | 0.781902i | \(-0.285750\pi\) |
−0.988848 | + | 0.148930i | \(0.952417\pi\) | |||||||
\(978\) | −1.49833 | + | 0.579130i | −0.0479112 | + | 0.0185185i | ||||
\(979\) | 4.33670 | − | 7.51139i | 0.138602 | − | 0.240065i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 9.94067 | + | 45.7270i | 0.317381 | + | 1.45995i | ||||
\(982\) | 83.6465 | 2.66927 | ||||||||
\(983\) | −15.6351 | + | 27.0809i | −0.498684 | + | 0.863745i | −0.999999 | − | 0.00151933i | \(-0.999516\pi\) |
0.501315 | + | 0.865265i | \(0.332850\pi\) | |||||||
\(984\) | −1.95611 | + | 12.5378i | −0.0623585 | + | 0.399692i | ||||
\(985\) | −8.75726 | − | 15.1680i | −0.279029 | − | 0.483293i | ||||
\(986\) | −4.12221 | − | 7.13988i | −0.131278 | − | 0.227380i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −5.97988 | + | 10.3574i | −0.190245 | + | 0.329514i | ||||
\(989\) | 11.4136 | 0.362930 | ||||||||
\(990\) | −26.9676 | − | 8.62471i | −0.857086 | − | 0.274111i | ||||
\(991\) | −7.01463 | −0.222827 | −0.111414 | − | 0.993774i | \(-0.535538\pi\) | ||||
−0.111414 | + | 0.993774i | \(0.535538\pi\) | |||||||
\(992\) | 4.37581 | − | 7.57912i | 0.138932 | − | 0.240637i | ||||
\(993\) | 31.4681 | − | 12.1630i | 0.998611 | − | 0.385981i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −21.0429 | − | 36.4474i | −0.667105 | − | 1.15546i | ||||
\(996\) | 9.80926 | + | 7.90592i | 0.310818 | + | 0.250509i | ||||
\(997\) | −10.6439 | + | 18.4358i | −0.337095 | + | 0.583866i | −0.983885 | − | 0.178802i | \(-0.942778\pi\) |
0.646790 | + | 0.762668i | \(0.276111\pi\) | |||||||
\(998\) | 21.3271 | 0.675099 | ||||||||
\(999\) | −25.3056 | + | 50.5279i | −0.800633 | + | 1.59863i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))