Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(139,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.139");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.w (of order \(10\), degree \(4\), 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: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 139.18 | ||
Character | \(\chi\) | \(=\) | 770.139 |
Dual form | 770.2.w.b.349.18 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | + | 0.587785i | 0.572061 | + | 0.415627i | ||||
\(3\) | 0.463552 | − | 1.42667i | 0.267632 | − | 0.823686i | −0.723444 | − | 0.690383i | \(-0.757442\pi\) |
0.991075 | − | 0.133302i | \(-0.0425582\pi\) | |||||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | 0.665551 | − | 2.13472i | 0.297643 | − | 0.954677i | ||||
\(6\) | 1.21359 | − | 0.881728i | 0.495448 | − | 0.359964i | ||||
\(7\) | 1.05163 | + | 2.42777i | 0.397478 | + | 0.917612i | ||||
\(8\) | −0.309017 | + | 0.951057i | −0.109254 | + | 0.336249i | ||||
\(9\) | 0.606556 | + | 0.440689i | 0.202185 | + | 0.146896i | ||||
\(10\) | 1.79320 | − | 1.33583i | 0.567060 | − | 0.422425i | ||||
\(11\) | 3.30041 | − | 0.327560i | 0.995111 | − | 0.0987632i | ||||
\(12\) | 1.50009 | 0.433037 | ||||||||
\(13\) | −0.191420 | + | 0.263467i | −0.0530904 | + | 0.0730727i | −0.834737 | − | 0.550649i | \(-0.814380\pi\) |
0.781646 | + | 0.623722i | \(0.214380\pi\) | |||||||
\(14\) | −0.576225 | + | 2.58224i | −0.154003 | + | 0.690133i | ||||
\(15\) | −2.73702 | − | 1.93907i | −0.706695 | − | 0.500666i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | −0.316463 | − | 0.435574i | −0.0767536 | − | 0.105642i | 0.768914 | − | 0.639352i | \(-0.220797\pi\) |
−0.845668 | + | 0.533710i | \(0.820797\pi\) | |||||||
\(18\) | 0.231684 | + | 0.713050i | 0.0546084 | + | 0.168067i | ||||
\(19\) | −0.758164 | + | 2.33339i | −0.173935 | + | 0.535316i | −0.999583 | − | 0.0288690i | \(-0.990809\pi\) |
0.825649 | + | 0.564185i | \(0.190809\pi\) | |||||||
\(20\) | 2.23591 | − | 0.0266895i | 0.499964 | − | 0.00596795i | ||||
\(21\) | 3.95110 | − | 0.374922i | 0.862202 | − | 0.0818146i | ||||
\(22\) | 2.86262 | + | 1.67493i | 0.610313 | + | 0.357096i | ||||
\(23\) | − | 4.70703i | − | 0.981484i | −0.871305 | − | 0.490742i | \(-0.836726\pi\) | ||
0.871305 | − | 0.490742i | \(-0.163274\pi\) | |||||||
\(24\) | 1.21359 | + | 0.881728i | 0.247724 | + | 0.179982i | ||||
\(25\) | −4.11408 | − | 2.84153i | −0.822817 | − | 0.568306i | ||||
\(26\) | −0.309724 | + | 0.100636i | −0.0607420 | + | 0.0197363i | ||||
\(27\) | 4.55067 | − | 3.30625i | 0.875777 | − | 0.636289i | ||||
\(28\) | −1.98398 | + | 1.75038i | −0.374937 | + | 0.330791i | ||||
\(29\) | −2.28218 | + | 0.741525i | −0.423790 | + | 0.137698i | −0.513145 | − | 0.858302i | \(-0.671520\pi\) |
0.0893546 | + | 0.996000i | \(0.471520\pi\) | |||||||
\(30\) | −1.07454 | − | 3.17752i | −0.196183 | − | 0.580134i | ||||
\(31\) | −0.248208 | + | 0.341629i | −0.0445795 | + | 0.0613584i | −0.830725 | − | 0.556683i | \(-0.812074\pi\) |
0.786145 | + | 0.618042i | \(0.212074\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 1.06259 | − | 4.86042i | 0.184973 | − | 0.846091i | ||||
\(34\) | − | 0.538400i | − | 0.0923348i | ||||||
\(35\) | 5.88253 | − | 0.629126i | 0.994330 | − | 0.106342i | ||||
\(36\) | −0.231684 | + | 0.713050i | −0.0386140 | + | 0.118842i | ||||
\(37\) | 3.07763 | − | 0.999984i | 0.505960 | − | 0.164396i | −0.0449041 | − | 0.998991i | \(-0.514298\pi\) |
0.550864 | + | 0.834595i | \(0.314298\pi\) | |||||||
\(38\) | −1.98490 | + | 1.44211i | −0.321993 | + | 0.233942i | ||||
\(39\) | 0.287147 | + | 0.395224i | 0.0459803 | + | 0.0632864i | ||||
\(40\) | 1.82458 | + | 1.29264i | 0.288491 | + | 0.204385i | ||||
\(41\) | −1.25713 | + | 3.86905i | −0.196331 | + | 0.604244i | 0.803628 | + | 0.595133i | \(0.202900\pi\) |
−0.999958 | + | 0.00911194i | \(0.997100\pi\) | |||||||
\(42\) | 3.41688 | + | 2.01908i | 0.527237 | + | 0.311551i | ||||
\(43\) | −0.787474 | −0.120089 | −0.0600444 | − | 0.998196i | \(-0.519124\pi\) | ||||
−0.0600444 | + | 0.998196i | \(0.519124\pi\) | |||||||
\(44\) | 1.33141 | + | 3.03765i | 0.200718 | + | 0.457944i | ||||
\(45\) | 1.34444 | − | 1.00153i | 0.200418 | − | 0.149299i | ||||
\(46\) | 2.76672 | − | 3.80807i | 0.407931 | − | 0.561469i | ||||
\(47\) | 1.98291 | − | 6.10277i | 0.289237 | − | 0.890181i | −0.695859 | − | 0.718178i | \(-0.744976\pi\) |
0.985097 | − | 0.172002i | \(-0.0550237\pi\) | |||||||
\(48\) | 0.463552 | + | 1.42667i | 0.0669079 | + | 0.205921i | ||||
\(49\) | −4.78816 | + | 5.10622i | −0.684023 | + | 0.729460i | ||||
\(50\) | −1.65815 | − | 4.71705i | −0.234498 | − | 0.667091i | ||||
\(51\) | −0.768116 | + | 0.249576i | −0.107558 | + | 0.0349476i | ||||
\(52\) | −0.309724 | − | 0.100636i | −0.0429511 | − | 0.0139556i | ||||
\(53\) | 5.90889 | − | 8.13289i | 0.811648 | − | 1.11714i | −0.179419 | − | 0.983773i | \(-0.557422\pi\) |
0.991067 | − | 0.133365i | \(-0.0425783\pi\) | |||||||
\(54\) | 5.62494 | 0.765457 | ||||||||
\(55\) | 1.49734 | − | 7.26347i | 0.201901 | − | 0.979406i | ||||
\(56\) | −2.63392 | + | 0.249934i | −0.351972 | + | 0.0333988i | ||||
\(57\) | 2.97752 | + | 2.16329i | 0.394382 | + | 0.286535i | ||||
\(58\) | −2.28218 | − | 0.741525i | −0.299665 | − | 0.0973670i | ||||
\(59\) | −3.34774 | + | 1.08775i | −0.435839 | + | 0.141613i | −0.518715 | − | 0.854947i | \(-0.673589\pi\) |
0.0828760 | + | 0.996560i | \(0.473589\pi\) | |||||||
\(60\) | 0.998383 | − | 3.20227i | 0.128891 | − | 0.413411i | ||||
\(61\) | −2.60559 | + | 1.89307i | −0.333612 | + | 0.242383i | −0.741962 | − | 0.670442i | \(-0.766104\pi\) |
0.408350 | + | 0.912825i | \(0.366104\pi\) | |||||||
\(62\) | −0.401609 | + | 0.130491i | −0.0510044 | + | 0.0165723i | ||||
\(63\) | −0.432022 | + | 1.93602i | −0.0544296 | + | 0.243916i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | 0.435030 | + | 0.583980i | 0.0539588 | + | 0.0724338i | ||||
\(66\) | 3.71654 | − | 3.30759i | 0.457474 | − | 0.407136i | ||||
\(67\) | 3.10205i | 0.378976i | 0.981883 | + | 0.189488i | \(0.0606828\pi\) | ||||
−0.981883 | + | 0.189488i | \(0.939317\pi\) | |||||||
\(68\) | 0.316463 | − | 0.435574i | 0.0383768 | − | 0.0528212i | ||||
\(69\) | −6.71536 | − | 2.18195i | −0.808435 | − | 0.262676i | ||||
\(70\) | 5.12886 | + | 2.94869i | 0.613016 | + | 0.352436i | ||||
\(71\) | −4.55615 | + | 3.31024i | −0.540716 | + | 0.392853i | −0.824351 | − | 0.566079i | \(-0.808460\pi\) |
0.283635 | + | 0.958932i | \(0.408460\pi\) | |||||||
\(72\) | −0.606556 | + | 0.440689i | −0.0714833 | + | 0.0519357i | ||||
\(73\) | −13.4882 | + | 4.38258i | −1.57867 | + | 0.512942i | −0.961714 | − | 0.274053i | \(-0.911635\pi\) |
−0.616959 | + | 0.786995i | \(0.711635\pi\) | |||||||
\(74\) | 3.07763 | + | 0.999984i | 0.357768 | + | 0.116246i | ||||
\(75\) | −5.96101 | + | 4.55223i | −0.688318 | + | 0.525646i | ||||
\(76\) | −2.45347 | −0.281432 | ||||||||
\(77\) | 4.26604 | + | 7.66817i | 0.486161 | + | 0.873869i | ||||
\(78\) | 0.488523i | 0.0553144i | ||||||||
\(79\) | 0.136261 | − | 0.187547i | 0.0153305 | − | 0.0211007i | −0.801283 | − | 0.598286i | \(-0.795849\pi\) |
0.816613 | + | 0.577185i | \(0.195849\pi\) | |||||||
\(80\) | 0.716317 | + | 2.11823i | 0.0800867 | + | 0.236825i | ||||
\(81\) | −1.91240 | − | 5.88575i | −0.212489 | − | 0.653973i | ||||
\(82\) | −3.29121 | + | 2.39121i | −0.363454 | + | 0.264065i | ||||
\(83\) | −6.56779 | − | 9.03978i | −0.720908 | − | 0.992245i | −0.999493 | − | 0.0318335i | \(-0.989865\pi\) |
0.278585 | − | 0.960412i | \(-0.410135\pi\) | |||||||
\(84\) | 1.57753 | + | 3.64187i | 0.172123 | + | 0.397360i | ||||
\(85\) | −1.14045 | + | 0.385665i | −0.123700 | + | 0.0418312i | ||||
\(86\) | −0.637080 | − | 0.462866i | −0.0686981 | − | 0.0499121i | ||||
\(87\) | 3.59964i | 0.385922i | ||||||||
\(88\) | −0.708354 | + | 3.24010i | −0.0755108 | + | 0.345396i | ||||
\(89\) | 9.96145i | 1.05591i | 0.849272 | + | 0.527956i | \(0.177041\pi\) | ||||
−0.849272 | + | 0.527956i | \(0.822959\pi\) | |||||||
\(90\) | 1.67636 | − | 0.0200103i | 0.176704 | − | 0.00210927i | ||||
\(91\) | −0.840942 | − | 0.187656i | −0.0881546 | − | 0.0196716i | ||||
\(92\) | 4.47665 | − | 1.45455i | 0.466723 | − | 0.151648i | ||||
\(93\) | 0.372333 | + | 0.512472i | 0.0386091 | + | 0.0531409i | ||||
\(94\) | 5.19133 | − | 3.77172i | 0.535444 | − | 0.389023i | ||||
\(95\) | 4.47654 | + | 3.17146i | 0.459283 | + | 0.325385i | ||||
\(96\) | −0.463552 | + | 1.42667i | −0.0473111 | + | 0.145608i | ||||
\(97\) | −9.86605 | − | 7.16810i | −1.00175 | − | 0.727811i | −0.0392836 | − | 0.999228i | \(-0.512508\pi\) |
−0.962462 | + | 0.271418i | \(0.912508\pi\) | |||||||
\(98\) | −6.87507 | + | 1.31661i | −0.694487 | + | 0.132998i | ||||
\(99\) | 2.14624 | + | 1.25577i | 0.215705 | + | 0.126210i | ||||
\(100\) | 1.43114 | − | 4.79081i | 0.143114 | − | 0.479081i | ||||
\(101\) | 13.2251 | + | 9.60858i | 1.31594 | + | 0.956090i | 0.999973 | + | 0.00732117i | \(0.00233042\pi\) |
0.315972 | + | 0.948769i | \(0.397670\pi\) | |||||||
\(102\) | −0.768116 | − | 0.249576i | −0.0760548 | − | 0.0247117i | ||||
\(103\) | 3.86155 | + | 11.8846i | 0.380490 | + | 1.17103i | 0.939699 | + | 0.342002i | \(0.111105\pi\) |
−0.559209 | + | 0.829026i | \(0.688895\pi\) | |||||||
\(104\) | −0.191420 | − | 0.263467i | −0.0187703 | − | 0.0258351i | ||||
\(105\) | 1.82931 | − | 8.68404i | 0.178522 | − | 0.847476i | ||||
\(106\) | 9.56078 | − | 3.10649i | 0.928625 | − | 0.301729i | ||||
\(107\) | −1.00057 | + | 3.07944i | −0.0967288 | + | 0.297701i | −0.987700 | − | 0.156358i | \(-0.950024\pi\) |
0.890972 | + | 0.454059i | \(0.150024\pi\) | |||||||
\(108\) | 4.55067 | + | 3.30625i | 0.437888 | + | 0.318144i | ||||
\(109\) | 18.1305i | 1.73659i | 0.496052 | + | 0.868293i | \(0.334783\pi\) | ||||
−0.496052 | + | 0.868293i | \(0.665217\pi\) | |||||||
\(110\) | 5.48073 | − | 4.99616i | 0.522567 | − | 0.476365i | ||||
\(111\) | − | 4.85430i | − | 0.460750i | ||||||
\(112\) | −2.27779 | − | 1.34598i | −0.215231 | − | 0.127183i | ||||
\(113\) | −7.95856 | − | 2.58589i | −0.748679 | − | 0.243260i | −0.0902662 | − | 0.995918i | \(-0.528772\pi\) |
−0.658413 | + | 0.752657i | \(0.728772\pi\) | |||||||
\(114\) | 1.13731 | + | 3.50028i | 0.106519 | + | 0.327831i | ||||
\(115\) | −10.0482 | − | 3.13277i | −0.937000 | − | 0.292132i | ||||
\(116\) | −1.41046 | − | 1.94134i | −0.130958 | − | 0.180249i | ||||
\(117\) | −0.232214 | + | 0.0754510i | −0.0214682 | + | 0.00697545i | ||||
\(118\) | −3.34774 | − | 1.08775i | −0.308185 | − | 0.100135i | ||||
\(119\) | 0.724674 | − | 1.22636i | 0.0664308 | − | 0.112420i | ||||
\(120\) | 2.68995 | − | 2.00385i | 0.245558 | − | 0.182926i | ||||
\(121\) | 10.7854 | − | 2.16217i | 0.980492 | − | 0.196561i | ||||
\(122\) | −3.22069 | −0.291587 | ||||||||
\(123\) | 4.93710 | + | 3.58701i | 0.445163 | + | 0.323430i | ||||
\(124\) | −0.401609 | − | 0.130491i | −0.0360655 | − | 0.0117184i | ||||
\(125\) | −8.80402 | + | 6.89125i | −0.787455 | + | 0.616372i | ||||
\(126\) | −1.48748 | + | 1.31234i | −0.132515 | + | 0.116912i | ||||
\(127\) | −9.69463 | + | 7.04356i | −0.860260 | + | 0.625015i | −0.927956 | − | 0.372691i | \(-0.878435\pi\) |
0.0676959 | + | 0.997706i | \(0.478435\pi\) | |||||||
\(128\) | −0.309017 | − | 0.951057i | −0.0273135 | − | 0.0840623i | ||||
\(129\) | −0.365035 | + | 1.12346i | −0.0321395 | + | 0.0989154i | ||||
\(130\) | 0.00869179 | + | 0.728154i | 0.000762320 | + | 0.0638633i | ||||
\(131\) | −10.1962 | −0.890848 | −0.445424 | − | 0.895320i | \(-0.646947\pi\) | ||||
−0.445424 | + | 0.895320i | \(0.646947\pi\) | |||||||
\(132\) | 4.95090 | − | 0.491368i | 0.430920 | − | 0.0427681i | ||||
\(133\) | −6.46224 | + | 0.613204i | −0.560347 | + | 0.0531715i | ||||
\(134\) | −1.82334 | + | 2.50961i | −0.157513 | + | 0.216797i | ||||
\(135\) | −4.02924 | − | 11.9149i | −0.346782 | − | 1.02547i | ||||
\(136\) | 0.512048 | − | 0.166375i | 0.0439078 | − | 0.0142665i | ||||
\(137\) | −5.32725 | − | 7.33233i | −0.455138 | − | 0.626443i | 0.518354 | − | 0.855166i | \(-0.326545\pi\) |
−0.973492 | + | 0.228723i | \(0.926545\pi\) | |||||||
\(138\) | −4.15032 | − | 5.71243i | −0.353299 | − | 0.486274i | ||||
\(139\) | −6.56257 | − | 20.1975i | −0.556630 | − | 1.71313i | −0.691599 | − | 0.722282i | \(-0.743093\pi\) |
0.134969 | − | 0.990850i | \(-0.456907\pi\) | |||||||
\(140\) | 2.41614 | + | 5.40021i | 0.204201 | + | 0.456401i | ||||
\(141\) | −7.78743 | − | 5.65790i | −0.655820 | − | 0.476481i | ||||
\(142\) | −5.63171 | −0.472603 | ||||||||
\(143\) | −0.545464 | + | 0.932252i | −0.0456140 | + | 0.0779588i | ||||
\(144\) | −0.749745 | −0.0624787 | ||||||||
\(145\) | 0.0640447 | + | 5.36534i | 0.00531862 | + | 0.445567i | ||||
\(146\) | −13.4882 | − | 4.38258i | −1.11629 | − | 0.362705i | ||||
\(147\) | 5.06531 | + | 9.19810i | 0.417780 | + | 0.758647i | ||||
\(148\) | 1.90208 | + | 2.61799i | 0.156350 | + | 0.215198i | ||||
\(149\) | 5.72621 | + | 7.88145i | 0.469109 | + | 0.645673i | 0.976367 | − | 0.216121i | \(-0.0693406\pi\) |
−0.507257 | + | 0.861795i | \(0.669341\pi\) | |||||||
\(150\) | −7.49829 | + | 0.179036i | −0.612233 | + | 0.0146182i | ||||
\(151\) | −5.36781 | − | 1.74411i | −0.436826 | − | 0.141933i | 0.0823448 | − | 0.996604i | \(-0.473759\pi\) |
−0.519171 | + | 0.854671i | \(0.673759\pi\) | |||||||
\(152\) | −1.98490 | − | 1.44211i | −0.160996 | − | 0.116971i | ||||
\(153\) | − | 0.403662i | − | 0.0326342i | ||||||
\(154\) | −1.05594 | + | 8.71120i | −0.0850900 | + | 0.701968i | ||||
\(155\) | 0.564088 | + | 0.757226i | 0.0453086 | + | 0.0608219i | ||||
\(156\) | −0.287147 | + | 0.395224i | −0.0229901 | + | 0.0316432i | ||||
\(157\) | −5.92810 | + | 18.2448i | −0.473114 | + | 1.45610i | 0.375370 | + | 0.926875i | \(0.377516\pi\) |
−0.848484 | + | 0.529221i | \(0.822484\pi\) | |||||||
\(158\) | 0.220474 | − | 0.0716365i | 0.0175400 | − | 0.00569909i | ||||
\(159\) | −8.86383 | − | 12.2000i | −0.702948 | − | 0.967525i | ||||
\(160\) | −0.665551 | + | 2.13472i | −0.0526164 | + | 0.168765i | ||||
\(161\) | 11.4276 | − | 4.95004i | 0.900622 | − | 0.390118i | ||||
\(162\) | 1.91240 | − | 5.88575i | 0.150252 | − | 0.462429i | ||||
\(163\) | 6.31611 | − | 8.69338i | 0.494716 | − | 0.680918i | −0.486533 | − | 0.873662i | \(-0.661739\pi\) |
0.981249 | + | 0.192744i | \(0.0617387\pi\) | |||||||
\(164\) | −4.06816 | −0.317670 | ||||||||
\(165\) | −9.66845 | − | 5.50320i | −0.752688 | − | 0.428423i | ||||
\(166\) | − | 11.1738i | − | 0.867254i | ||||||
\(167\) | 4.64921 | − | 6.39909i | 0.359767 | − | 0.495177i | −0.590317 | − | 0.807172i | \(-0.700997\pi\) |
0.950084 | + | 0.311995i | \(0.100997\pi\) | |||||||
\(168\) | −0.864387 | + | 3.87358i | −0.0666889 | + | 0.298853i | ||||
\(169\) | 3.98445 | + | 12.2629i | 0.306496 | + | 0.943298i | ||||
\(170\) | −1.14933 | − | 0.358332i | −0.0881499 | − | 0.0274828i | ||||
\(171\) | −1.48817 | + | 1.08122i | −0.113803 | + | 0.0826827i | ||||
\(172\) | −0.243343 | − | 0.748933i | −0.0185547 | − | 0.0571056i | ||||
\(173\) | 18.8572 | + | 6.12709i | 1.43369 | + | 0.465834i | 0.919924 | − | 0.392097i | \(-0.128250\pi\) |
0.513766 | + | 0.857931i | \(0.328250\pi\) | |||||||
\(174\) | −2.11582 | + | 2.91217i | −0.160400 | + | 0.220771i | ||||
\(175\) | 2.57211 | − | 12.9763i | 0.194433 | − | 0.980916i | ||||
\(176\) | −2.47755 | + | 2.20493i | −0.186753 | + | 0.166203i | ||||
\(177\) | 5.28034i | 0.396895i | ||||||||
\(178\) | −5.85519 | + | 8.05898i | −0.438865 | + | 0.604046i | ||||
\(179\) | −3.44282 | + | 10.5959i | −0.257329 | + | 0.791977i | 0.736033 | + | 0.676946i | \(0.236697\pi\) |
−0.993362 | + | 0.115031i | \(0.963303\pi\) | |||||||
\(180\) | 1.36797 | + | 0.969152i | 0.101962 | + | 0.0722363i | ||||
\(181\) | −10.0233 | − | 13.7959i | −0.745028 | − | 1.02544i | −0.998314 | − | 0.0580511i | \(-0.981511\pi\) |
0.253286 | − | 0.967391i | \(-0.418489\pi\) | |||||||
\(182\) | −0.570035 | − | 0.646110i | −0.0422538 | − | 0.0478928i | ||||
\(183\) | 1.49296 | + | 4.59484i | 0.110362 | + | 0.339661i | ||||
\(184\) | 4.47665 | + | 1.45455i | 0.330023 | + | 0.107231i | ||||
\(185\) | −0.0863676 | − | 7.23544i | −0.00634987 | − | 0.531960i | ||||
\(186\) | 0.633451i | 0.0464469i | ||||||||
\(187\) | −1.18714 | − | 1.33391i | −0.0868119 | − | 0.0975454i | ||||
\(188\) | 6.41683 | 0.467996 | ||||||||
\(189\) | 12.8124 | + | 7.57104i | 0.931968 | + | 0.550712i | ||||
\(190\) | 1.75746 | + | 5.19701i | 0.127500 | + | 0.377030i | ||||
\(191\) | −5.55713 | − | 17.1031i | −0.402100 | − | 1.23754i | −0.923293 | − | 0.384097i | \(-0.874513\pi\) |
0.521193 | − | 0.853439i | \(-0.325487\pi\) | |||||||
\(192\) | −1.21359 | + | 0.881728i | −0.0875836 | + | 0.0636332i | ||||
\(193\) | 9.96613 | − | 7.24082i | 0.717378 | − | 0.521205i | −0.168168 | − | 0.985758i | \(-0.553785\pi\) |
0.885545 | + | 0.464553i | \(0.153785\pi\) | |||||||
\(194\) | −3.76849 | − | 11.5982i | −0.270562 | − | 0.832705i | ||||
\(195\) | 1.03480 | − | 0.349937i | 0.0741038 | − | 0.0250595i | ||||
\(196\) | −6.33593 | − | 2.97590i | −0.452566 | − | 0.212565i | ||||
\(197\) | 0.206405 | 0.0147057 | 0.00735287 | − | 0.999973i | \(-0.497659\pi\) | ||||
0.00735287 | + | 0.999973i | \(0.497659\pi\) | |||||||
\(198\) | 0.998219 | + | 2.27747i | 0.0709403 | + | 0.161852i | ||||
\(199\) | − | 22.2925i | − | 1.58028i | −0.612929 | − | 0.790138i | \(-0.710009\pi\) | ||
0.612929 | − | 0.790138i | \(-0.289991\pi\) | |||||||
\(200\) | 3.97378 | − | 3.03465i | 0.280989 | − | 0.214582i | ||||
\(201\) | 4.42559 | + | 1.43796i | 0.312157 | + | 0.101426i | ||||
\(202\) | 5.05153 | + | 15.5470i | 0.355425 | + | 1.09388i | ||||
\(203\) | −4.20026 | − | 4.76080i | −0.294800 | − | 0.334143i | ||||
\(204\) | −0.474722 | − | 0.653399i | −0.0332372 | − | 0.0457471i | ||||
\(205\) | 7.42267 | + | 5.25868i | 0.518422 | + | 0.367282i | ||||
\(206\) | −3.86155 | + | 11.8846i | −0.269047 | + | 0.828042i | ||||
\(207\) | 2.07434 | − | 2.85508i | 0.144176 | − | 0.198442i | ||||
\(208\) | − | 0.325664i | − | 0.0225807i | ||||||
\(209\) | −1.73793 | + | 7.94948i | −0.120215 | + | 0.549877i | ||||
\(210\) | 6.58429 | − | 5.95030i | 0.454359 | − | 0.410610i | ||||
\(211\) | −2.55703 | + | 3.51945i | −0.176033 | + | 0.242289i | −0.887912 | − | 0.460013i | \(-0.847845\pi\) |
0.711879 | + | 0.702302i | \(0.247845\pi\) | |||||||
\(212\) | 9.56078 | + | 3.10649i | 0.656637 | + | 0.213354i | ||||
\(213\) | 2.61059 | + | 8.03457i | 0.178875 | + | 0.550520i | ||||
\(214\) | −2.61953 | + | 1.90320i | −0.179067 | + | 0.130100i | ||||
\(215\) | −0.524104 | + | 1.68104i | −0.0357436 | + | 0.114646i | ||||
\(216\) | 1.73820 | + | 5.34963i | 0.118270 | + | 0.363996i | ||||
\(217\) | −1.09042 | − | 0.243326i | −0.0740225 | − | 0.0165181i | ||||
\(218\) | −10.6568 | + | 14.6679i | −0.721772 | + | 0.993434i | ||||
\(219\) | 21.2747i | 1.43761i | ||||||||
\(220\) | 7.37067 | − | 0.820481i | 0.496931 | − | 0.0553168i | ||||
\(221\) | 0.175337 | 0.0117945 | ||||||||
\(222\) | 2.85329 | − | 3.92721i | 0.191500 | − | 0.263577i | ||||
\(223\) | 4.73537 | − | 14.5740i | 0.317104 | − | 0.975944i | −0.657776 | − | 0.753213i | \(-0.728503\pi\) |
0.974880 | − | 0.222731i | \(-0.0714972\pi\) | |||||||
\(224\) | −1.05163 | − | 2.42777i | −0.0702648 | − | 0.162212i | ||||
\(225\) | −1.24319 | − | 3.53658i | −0.0828795 | − | 0.235772i | ||||
\(226\) | −4.91866 | − | 6.76996i | −0.327185 | − | 0.450331i | ||||
\(227\) | −21.9096 | + | 7.11887i | −1.45419 | + | 0.472496i | −0.926291 | − | 0.376810i | \(-0.877021\pi\) |
−0.527902 | + | 0.849305i | \(0.677021\pi\) | |||||||
\(228\) | −1.13731 | + | 3.50028i | −0.0753202 | + | 0.231812i | ||||
\(229\) | −9.19600 | + | 12.6572i | −0.607688 | + | 0.836411i | −0.996385 | − | 0.0849545i | \(-0.972926\pi\) |
0.388696 | + | 0.921366i | \(0.372926\pi\) | |||||||
\(230\) | −6.28778 | − | 8.44065i | −0.414604 | − | 0.556560i | ||||
\(231\) | 12.9175 | − | 2.53162i | 0.849906 | − | 0.166568i | ||||
\(232\) | − | 2.39963i | − | 0.157543i | ||||||
\(233\) | 0.682122 | + | 0.495591i | 0.0446873 | + | 0.0324672i | 0.609905 | − | 0.792475i | \(-0.291208\pi\) |
−0.565217 | + | 0.824942i | \(0.691208\pi\) | |||||||
\(234\) | −0.232214 | − | 0.0754510i | −0.0151803 | − | 0.00493239i | ||||
\(235\) | −11.7080 | − | 8.29467i | −0.763746 | − | 0.541084i | ||||
\(236\) | −2.06902 | − | 2.84776i | −0.134682 | − | 0.185373i | ||||
\(237\) | −0.204403 | − | 0.281336i | −0.0132774 | − | 0.0182747i | ||||
\(238\) | 1.30711 | − | 0.566195i | 0.0847275 | − | 0.0367010i | ||||
\(239\) | 7.92025 | + | 2.57344i | 0.512318 | + | 0.166462i | 0.553756 | − | 0.832679i | \(-0.313194\pi\) |
−0.0414381 | + | 0.999141i | \(0.513194\pi\) | |||||||
\(240\) | 3.35405 | − | 0.0400365i | 0.216503 | − | 0.00258434i | ||||
\(241\) | 14.2248 | 0.916298 | 0.458149 | − | 0.888875i | \(-0.348513\pi\) | ||||
0.458149 | + | 0.888875i | \(0.348513\pi\) | |||||||
\(242\) | 9.99647 | + | 4.59027i | 0.642597 | + | 0.295074i | ||||
\(243\) | 7.59131 | 0.486983 | ||||||||
\(244\) | −2.60559 | − | 1.89307i | −0.166806 | − | 0.121192i | ||||
\(245\) | 7.71361 | + | 13.6198i | 0.492804 | + | 0.870140i | ||||
\(246\) | 1.88580 | + | 5.80391i | 0.120234 | + | 0.370044i | ||||
\(247\) | −0.469644 | − | 0.646409i | −0.0298827 | − | 0.0411300i | ||||
\(248\) | −0.248208 | − | 0.341629i | −0.0157612 | − | 0.0216935i | ||||
\(249\) | −15.9413 | + | 5.17963i | −1.01024 | + | 0.328246i | ||||
\(250\) | −11.1732 | + | 0.400266i | −0.706653 | + | 0.0253150i | ||||
\(251\) | −5.64976 | + | 7.77623i | −0.356610 | + | 0.490831i | −0.949200 | − | 0.314673i | \(-0.898105\pi\) |
0.592591 | + | 0.805504i | \(0.298105\pi\) | |||||||
\(252\) | −1.97477 | + | 0.187386i | −0.124399 | + | 0.0118042i | ||||
\(253\) | −1.54184 | − | 15.5351i | −0.0969345 | − | 0.976686i | ||||
\(254\) | −11.9832 | −0.751895 | ||||||||
\(255\) | 0.0215556 | + | 1.80582i | 0.00134987 | + | 0.113085i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 4.72111 | + | 14.5301i | 0.294495 | + | 0.906362i | 0.983391 | + | 0.181502i | \(0.0580957\pi\) |
−0.688896 | + | 0.724860i | \(0.741904\pi\) | |||||||
\(258\) | −0.955674 | + | 0.694338i | −0.0594977 | + | 0.0432276i | ||||
\(259\) | 5.66426 | + | 6.42019i | 0.351960 | + | 0.398931i | ||||
\(260\) | −0.420966 | + | 0.594198i | −0.0261072 | + | 0.0368506i | ||||
\(261\) | −1.71105 | − | 0.555954i | −0.105911 | − | 0.0344127i | ||||
\(262\) | −8.24892 | − | 5.99319i | −0.509620 | − | 0.370260i | ||||
\(263\) | −1.40139 | −0.0864132 | −0.0432066 | − | 0.999066i | \(-0.513757\pi\) | ||||
−0.0432066 | + | 0.999066i | \(0.513757\pi\) | |||||||
\(264\) | 4.29418 | + | 2.51254i | 0.264288 | + | 0.154636i | ||||
\(265\) | −13.4288 | − | 18.0267i | −0.824924 | − | 1.10737i | ||||
\(266\) | −5.58849 | − | 3.30232i | −0.342653 | − | 0.202478i | ||||
\(267\) | 14.2117 | + | 4.61765i | 0.869739 | + | 0.282595i | ||||
\(268\) | −2.95023 | + | 0.958586i | −0.180214 | + | 0.0585550i | ||||
\(269\) | 7.05324 | + | 9.70795i | 0.430043 | + | 0.591904i | 0.967963 | − | 0.251092i | \(-0.0807897\pi\) |
−0.537920 | + | 0.842996i | \(0.680790\pi\) | |||||||
\(270\) | 3.74368 | − | 12.0077i | 0.227833 | − | 0.730764i | ||||
\(271\) | −7.70500 | − | 23.7135i | −0.468045 | − | 1.44050i | −0.855112 | − | 0.518444i | \(-0.826512\pi\) |
0.387066 | − | 0.922052i | \(-0.373488\pi\) | |||||||
\(272\) | 0.512048 | + | 0.166375i | 0.0310475 | + | 0.0100879i | ||||
\(273\) | −0.657542 | + | 1.11275i | −0.0397962 | + | 0.0673470i | ||||
\(274\) | − | 9.06326i | − | 0.547531i | ||||||
\(275\) | −14.5089 | − | 8.03061i | −0.874922 | − | 0.484264i | ||||
\(276\) | − | 7.06095i | − | 0.425019i | ||||||
\(277\) | −6.22158 | − | 4.52024i | −0.373818 | − | 0.271595i | 0.384974 | − | 0.922927i | \(-0.374210\pi\) |
−0.758793 | + | 0.651332i | \(0.774210\pi\) | |||||||
\(278\) | 6.56257 | − | 20.1975i | 0.393597 | − | 1.21137i | ||||
\(279\) | −0.301104 | + | 0.0978346i | −0.0180266 | + | 0.00585721i | ||||
\(280\) | −1.21947 | + | 5.78903i | −0.0728772 | + | 0.345961i | ||||
\(281\) | −7.30485 | − | 10.0543i | −0.435771 | − | 0.599787i | 0.533495 | − | 0.845803i | \(-0.320878\pi\) |
−0.969266 | + | 0.246016i | \(0.920878\pi\) | |||||||
\(282\) | −2.97453 | − | 9.15467i | −0.177131 | − | 0.545153i | ||||
\(283\) | 21.3217 | + | 6.92784i | 1.26744 | + | 0.411817i | 0.864141 | − | 0.503250i | \(-0.167862\pi\) |
0.403302 | + | 0.915067i | \(0.367862\pi\) | |||||||
\(284\) | −4.55615 | − | 3.31024i | −0.270358 | − | 0.196426i | ||||
\(285\) | 6.59972 | − | 4.91639i | 0.390933 | − | 0.291222i | ||||
\(286\) | −0.989253 | + | 0.433592i | −0.0584958 | + | 0.0256388i | ||||
\(287\) | −10.7152 | + | 1.01677i | −0.632499 | + | 0.0600181i | ||||
\(288\) | −0.606556 | − | 0.440689i | −0.0357417 | − | 0.0259678i | ||||
\(289\) | 5.16371 | − | 15.8923i | 0.303748 | − | 0.934840i | ||||
\(290\) | −3.10186 | + | 4.37830i | −0.182147 | + | 0.257103i | ||||
\(291\) | −14.7999 | + | 10.7528i | −0.867586 | + | 0.630338i | ||||
\(292\) | −8.33616 | − | 11.4737i | −0.487837 | − | 0.671450i | ||||
\(293\) | −7.66041 | + | 2.48902i | −0.447526 | + | 0.145410i | −0.524105 | − | 0.851654i | \(-0.675600\pi\) |
0.0765794 | + | 0.997063i | \(0.475600\pi\) | |||||||
\(294\) | −1.30859 | + | 10.4187i | −0.0763184 | + | 0.607633i | ||||
\(295\) | 0.0939476 | + | 7.87046i | 0.00546984 | + | 0.458236i | ||||
\(296\) | 3.23602i | 0.188090i | ||||||||
\(297\) | 13.9361 | − | 12.4026i | 0.808653 | − | 0.719673i | ||||
\(298\) | 9.74201i | 0.564339i | ||||||||
\(299\) | 1.24015 | + | 0.901021i | 0.0717197 | + | 0.0521074i | ||||
\(300\) | −6.17148 | − | 4.26254i | −0.356310 | − | 0.246098i | ||||
\(301\) | −0.828129 | − | 1.91181i | −0.0477326 | − | 0.110195i | ||||
\(302\) | −3.31749 | − | 4.56613i | −0.190900 | − | 0.262751i | ||||
\(303\) | 19.8387 | − | 14.4137i | 1.13971 | − | 0.828045i | ||||
\(304\) | −0.758164 | − | 2.33339i | −0.0434837 | − | 0.133829i | ||||
\(305\) | 2.30703 | + | 6.82215i | 0.132100 | + | 0.390635i | ||||
\(306\) | 0.237267 | − | 0.326570i | 0.0135636 | − | 0.0186687i | ||||
\(307\) | − | 25.7572i | − | 1.47004i | −0.678044 | − | 0.735021i | \(-0.737172\pi\) | ||
0.678044 | − | 0.735021i | \(-0.262828\pi\) | |||||||
\(308\) | −5.97459 | + | 6.42684i | −0.340434 | + | 0.366203i | ||||
\(309\) | 18.7454 | 1.06639 | ||||||||
\(310\) | 0.0112703 | + | 0.944172i | 0.000640112 | + | 0.0536253i | ||||
\(311\) | 24.6295 | + | 8.00260i | 1.39661 | + | 0.453786i | 0.908093 | − | 0.418769i | \(-0.137538\pi\) |
0.488517 | + | 0.872555i | \(0.337538\pi\) | |||||||
\(312\) | −0.464613 | + | 0.150962i | −0.0263035 | + | 0.00854654i | ||||
\(313\) | 0.756757 | − | 0.549816i | 0.0427745 | − | 0.0310775i | −0.566193 | − | 0.824273i | \(-0.691584\pi\) |
0.608967 | + | 0.793196i | \(0.291584\pi\) | |||||||
\(314\) | −15.5200 | + | 11.2759i | −0.875843 | + | 0.636337i | ||||
\(315\) | 3.84534 | + | 2.21077i | 0.216660 | + | 0.124563i | ||||
\(316\) | 0.220474 | + | 0.0716365i | 0.0124027 | + | 0.00402987i | ||||
\(317\) | −11.7119 | + | 16.1200i | −0.657805 | + | 0.905391i | −0.999406 | − | 0.0344544i | \(-0.989031\pi\) |
0.341602 | + | 0.939845i | \(0.389031\pi\) | |||||||
\(318\) | − | 15.0801i | − | 0.845648i | ||||||
\(319\) | −7.28923 | + | 3.19489i | −0.408119 | + | 0.178879i | ||||
\(320\) | −1.79320 | + | 1.33583i | −0.100243 | + | 0.0746750i | ||||
\(321\) | 3.92951 | + | 2.85496i | 0.219324 | + | 0.159348i | ||||
\(322\) | 12.1547 | + | 2.71231i | 0.677354 | + | 0.151151i | ||||
\(323\) | 1.25629 | − | 0.408195i | 0.0699021 | − | 0.0227126i | ||||
\(324\) | 5.00672 | − | 3.63760i | 0.278151 | − | 0.202089i | ||||
\(325\) | 1.53617 | − | 0.540000i | 0.0852114 | − | 0.0299538i | ||||
\(326\) | 10.2197 | − | 3.32057i | 0.566016 | − | 0.183910i | ||||
\(327\) | 25.8661 | + | 8.40442i | 1.43040 | + | 0.464765i | ||||
\(328\) | −3.29121 | − | 2.39121i | −0.181727 | − | 0.132032i | ||||
\(329\) | 16.9014 | − | 1.60378i | 0.931806 | − | 0.0884193i | ||||
\(330\) | −4.58724 | − | 10.1351i | −0.252519 | − | 0.557922i | ||||
\(331\) | −14.4420 | −0.793804 | −0.396902 | − | 0.917861i | \(-0.629915\pi\) | ||||
−0.396902 | + | 0.917861i | \(0.629915\pi\) | |||||||
\(332\) | 6.56779 | − | 9.03978i | 0.360454 | − | 0.496123i | ||||
\(333\) | 2.30744 | + | 0.749733i | 0.126447 | + | 0.0410851i | ||||
\(334\) | 7.52258 | − | 2.44424i | 0.411617 | − | 0.133743i | ||||
\(335\) | 6.62202 | + | 2.06457i | 0.361800 | + | 0.112800i | ||||
\(336\) | −2.97614 | + | 2.62572i | −0.162362 | + | 0.143245i | ||||
\(337\) | −9.72849 | − | 29.9412i | −0.529945 | − | 1.63100i | −0.754326 | − | 0.656500i | \(-0.772036\pi\) |
0.224381 | − | 0.974501i | \(-0.427964\pi\) | |||||||
\(338\) | −3.98445 | + | 12.2629i | −0.216725 | + | 0.667012i | ||||
\(339\) | −7.37841 | + | 10.1555i | −0.400740 | + | 0.551572i | ||||
\(340\) | −0.719208 | − | 0.965458i | −0.0390045 | − | 0.0523593i | ||||
\(341\) | −0.707284 | + | 1.20882i | −0.0383016 | + | 0.0654612i | ||||
\(342\) | −1.83948 | −0.0994674 | ||||||||
\(343\) | −17.4321 | − | 6.25473i | −0.941245 | − | 0.337724i | ||||
\(344\) | 0.243343 | − | 0.748933i | 0.0131202 | − | 0.0403797i | ||||
\(345\) | −9.12728 | + | 12.8832i | −0.491396 | + | 0.693610i | ||||
\(346\) | 11.6544 | + | 16.0409i | 0.626545 | + | 0.862366i | ||||
\(347\) | 4.16413 | − | 3.02541i | 0.223542 | − | 0.162413i | −0.470378 | − | 0.882465i | \(-0.655882\pi\) |
0.693920 | + | 0.720052i | \(0.255882\pi\) | |||||||
\(348\) | −3.42346 | + | 1.11235i | −0.183517 | + | 0.0596282i | ||||
\(349\) | −1.58171 | + | 4.86800i | −0.0846670 | + | 0.260578i | −0.984423 | − | 0.175814i | \(-0.943744\pi\) |
0.899756 | + | 0.436393i | \(0.143744\pi\) | |||||||
\(350\) | 9.70816 | − | 8.98619i | 0.518923 | − | 0.480332i | ||||
\(351\) | 1.83184i | 0.0977762i | ||||||||
\(352\) | −3.30041 | + | 0.327560i | −0.175912 | + | 0.0174590i | ||||
\(353\) | 3.35238 | 0.178429 | 0.0892147 | − | 0.996012i | \(-0.471564\pi\) | ||||
0.0892147 | + | 0.996012i | \(0.471564\pi\) | |||||||
\(354\) | −3.10370 | + | 4.27188i | −0.164960 | + | 0.227048i | ||||
\(355\) | 4.03409 | + | 11.9293i | 0.214107 | + | 0.633139i | ||||
\(356\) | −9.47390 | + | 3.07826i | −0.502116 | + | 0.163147i | ||||
\(357\) | −1.41369 | − | 1.60235i | −0.0748202 | − | 0.0848054i | ||||
\(358\) | −9.01343 | + | 6.54864i | −0.476375 | + | 0.346106i | ||||
\(359\) | −14.6734 | + | 4.76767i | −0.774431 | + | 0.251628i | −0.669461 | − | 0.742847i | \(-0.733475\pi\) |
−0.104971 | + | 0.994475i | \(0.533475\pi\) | |||||||
\(360\) | 0.537055 | + | 1.58813i | 0.0283053 | + | 0.0837018i | ||||
\(361\) | 10.5014 | + | 7.62974i | 0.552707 | + | 0.401565i | ||||
\(362\) | − | 17.0527i | − | 0.896270i | ||||||
\(363\) | 1.91491 | − | 16.3894i | 0.100506 | − | 0.860223i | ||||
\(364\) | −0.0813943 | − | 0.857772i | −0.00426622 | − | 0.0449595i | ||||
\(365\) | 0.378519 | + | 31.7104i | 0.0198126 | + | 1.65980i | ||||
\(366\) | −1.49296 | + | 4.59484i | −0.0780380 | + | 0.240176i | ||||
\(367\) | 3.88417 | + | 11.9542i | 0.202752 | + | 0.624006i | 0.999798 | + | 0.0200878i | \(0.00639458\pi\) |
−0.797046 | + | 0.603918i | \(0.793605\pi\) | |||||||
\(368\) | 2.76672 | + | 3.80807i | 0.144225 | + | 0.198509i | ||||
\(369\) | −2.46757 | + | 1.79279i | −0.128457 | + | 0.0933291i | ||||
\(370\) | 4.18301 | − | 5.90436i | 0.217464 | − | 0.306953i | ||||
\(371\) | 25.9587 | + | 5.79268i | 1.34771 | + | 0.300741i | ||||
\(372\) | −0.372333 | + | 0.512472i | −0.0193046 | + | 0.0265705i | ||||
\(373\) | 37.4219 | 1.93763 | 0.968815 | − | 0.247784i | \(-0.0797024\pi\) | ||||
0.968815 | + | 0.247784i | \(0.0797024\pi\) | |||||||
\(374\) | −0.176358 | − | 1.77694i | −0.00911927 | − | 0.0918833i | ||||
\(375\) | 5.75039 | + | 15.7548i | 0.296949 | + | 0.813576i | ||||
\(376\) | 5.19133 | + | 3.77172i | 0.267722 | + | 0.194512i | ||||
\(377\) | 0.241488 | − | 0.743223i | 0.0124372 | − | 0.0382779i | ||||
\(378\) | 5.91533 | + | 13.6561i | 0.304252 | + | 0.702392i | ||||
\(379\) | 20.3040 | − | 14.7517i | 1.04295 | − | 0.757744i | 0.0720868 | − | 0.997398i | \(-0.477034\pi\) |
0.970858 | + | 0.239654i | \(0.0770341\pi\) | |||||||
\(380\) | −1.63291 | + | 5.23748i | −0.0837664 | + | 0.268677i | ||||
\(381\) | 5.55485 | + | 17.0961i | 0.284583 | + | 0.875858i | ||||
\(382\) | 5.55713 | − | 17.1031i | 0.284327 | − | 0.875070i | ||||
\(383\) | 15.3530 | + | 11.1546i | 0.784501 | + | 0.569974i | 0.906327 | − | 0.422578i | \(-0.138875\pi\) |
−0.121825 | + | 0.992552i | \(0.538875\pi\) | |||||||
\(384\) | −1.50009 | −0.0765509 | ||||||||
\(385\) | 19.2087 | − | 4.00326i | 0.978966 | − | 0.204025i | ||||
\(386\) | 12.3188 | 0.627011 | ||||||||
\(387\) | −0.477647 | − | 0.347031i | −0.0242802 | − | 0.0176406i | ||||
\(388\) | 3.76849 | − | 11.5982i | 0.191316 | − | 0.588811i | ||||
\(389\) | 4.11649 | + | 12.6693i | 0.208714 | + | 0.642357i | 0.999540 | + | 0.0303158i | \(0.00965129\pi\) |
−0.790826 | + | 0.612041i | \(0.790349\pi\) | |||||||
\(390\) | 1.04286 | + | 0.325137i | 0.0528073 | + | 0.0164639i | ||||
\(391\) | −2.05026 | + | 1.48960i | −0.103686 | + | 0.0753325i | ||||
\(392\) | −3.37668 | − | 6.13172i | −0.170548 | − | 0.309699i | ||||
\(393\) | −4.72648 | + | 14.5466i | −0.238419 | + | 0.733779i | ||||
\(394\) | 0.166985 | + | 0.121322i | 0.00841259 | + | 0.00611210i | ||||
\(395\) | −0.309672 | − | 0.415701i | −0.0155813 | − | 0.0209162i | ||||
\(396\) | −0.531085 | + | 2.42925i | −0.0266880 | + | 0.122074i | ||||
\(397\) | −32.5495 | −1.63361 | −0.816805 | − | 0.576914i | \(-0.804257\pi\) | ||||
−0.816805 | + | 0.576914i | \(0.804257\pi\) | |||||||
\(398\) | 13.1032 | − | 18.0350i | 0.656806 | − | 0.904015i | ||||
\(399\) | −2.12075 | + | 9.50371i | −0.106170 | + | 0.475780i | ||||
\(400\) | 4.99858 | − | 0.119350i | 0.249929 | − | 0.00596752i | ||||
\(401\) | 14.7964 | − | 10.7502i | 0.738896 | − | 0.536839i | −0.153469 | − | 0.988153i | \(-0.549045\pi\) |
0.892365 | + | 0.451314i | \(0.149045\pi\) | |||||||
\(402\) | 2.73516 | + | 3.76463i | 0.136418 | + | 0.187763i | ||||
\(403\) | −0.0424960 | − | 0.130789i | −0.00211688 | − | 0.00651508i | ||||
\(404\) | −5.05153 | + | 15.5470i | −0.251323 | + | 0.773493i | ||||
\(405\) | −13.8373 | + | 0.165172i | −0.687579 | + | 0.00820745i | ||||
\(406\) | −0.599747 | − | 6.32042i | −0.0297649 | − | 0.313677i | ||||
\(407\) | 9.82990 | − | 4.30847i | 0.487250 | − | 0.213563i | ||||
\(408\) | − | 0.807645i | − | 0.0399844i | ||||||
\(409\) | 20.7913 | + | 15.1058i | 1.02806 | + | 0.746933i | 0.967920 | − | 0.251257i | \(-0.0808440\pi\) |
0.0601441 | + | 0.998190i | \(0.480844\pi\) | |||||||
\(410\) | 2.91409 | + | 8.61730i | 0.143917 | + | 0.425578i | ||||
\(411\) | −12.9302 | + | 4.20129i | −0.637802 | + | 0.207234i | ||||
\(412\) | −10.1097 | + | 7.34511i | −0.498068 | + | 0.361868i | ||||
\(413\) | −6.16138 | − | 6.98366i | −0.303182 | − | 0.343643i | ||||
\(414\) | 3.35635 | − | 1.09054i | 0.164956 | − | 0.0535973i | ||||
\(415\) | −23.6686 | + | 8.00397i | −1.16185 | + | 0.392900i | ||||
\(416\) | 0.191420 | − | 0.263467i | 0.00938515 | − | 0.0129176i | ||||
\(417\) | −31.8572 | −1.56005 | ||||||||
\(418\) | −6.07860 | + | 5.40974i | −0.297314 | + | 0.264599i | ||||
\(419\) | 0.0761591i | 0.00372062i | 0.999998 | + | 0.00186031i | \(0.000592155\pi\) | ||||
−0.999998 | + | 0.00186031i | \(0.999408\pi\) | |||||||
\(420\) | 8.82430 | − | 0.943743i | 0.430582 | − | 0.0460500i | ||||
\(421\) | −0.783099 | + | 2.41013i | −0.0381659 | + | 0.117463i | −0.968324 | − | 0.249696i | \(-0.919669\pi\) |
0.930158 | + | 0.367159i | \(0.119669\pi\) | |||||||
\(422\) | −4.13736 | + | 1.34431i | −0.201404 | + | 0.0654400i | ||||
\(423\) | 3.89217 | − | 2.82783i | 0.189244 | − | 0.137494i | ||||
\(424\) | 5.90889 | + | 8.13289i | 0.286961 | + | 0.394968i | ||||
\(425\) | 0.0642582 | + | 2.69123i | 0.00311698 | + | 0.130544i | ||||
\(426\) | −2.61059 | + | 8.03457i | −0.126484 | + | 0.389276i | ||||
\(427\) | −7.33606 | − | 4.33498i | −0.355017 | − | 0.209784i | ||||
\(428\) | −3.23791 | −0.156510 | ||||||||
\(429\) | 1.07716 | + | 1.21034i | 0.0520058 | + | 0.0584358i | ||||
\(430\) | −1.41210 | + | 1.05193i | −0.0680975 | + | 0.0507285i | ||||
\(431\) | 10.5070 | − | 14.4616i | 0.506104 | − | 0.696592i | −0.477152 | − | 0.878821i | \(-0.658331\pi\) |
0.983256 | + | 0.182228i | \(0.0583310\pi\) | |||||||
\(432\) | −1.73820 | + | 5.34963i | −0.0836292 | + | 0.257384i | ||||
\(433\) | 0.0743891 | + | 0.228946i | 0.00357491 | + | 0.0110024i | 0.952828 | − | 0.303511i | \(-0.0981588\pi\) |
−0.949253 | + | 0.314513i | \(0.898159\pi\) | |||||||
\(434\) | −0.739144 | − | 0.837787i | −0.0354801 | − | 0.0402151i | ||||
\(435\) | 7.68424 | + | 2.39574i | 0.368431 | + | 0.114867i | ||||
\(436\) | −17.2431 | + | 5.60263i | −0.825796 | + | 0.268317i | ||||
\(437\) | 10.9833 | + | 3.56870i | 0.525404 | + | 0.170714i | ||||
\(438\) | −12.5049 | + | 17.2116i | −0.597510 | + | 0.822401i | ||||
\(439\) | 15.0509 | 0.718341 | 0.359171 | − | 0.933272i | \(-0.383060\pi\) | ||||
0.359171 | + | 0.933272i | \(0.383060\pi\) | |||||||
\(440\) | 6.44527 | + | 3.66859i | 0.307266 | + | 0.174893i | ||||
\(441\) | −5.15455 | + | 0.987121i | −0.245455 | + | 0.0470058i | ||||
\(442\) | 0.141851 | + | 0.103061i | 0.00674715 | + | 0.00490209i | ||||
\(443\) | 20.5775 | + | 6.68605i | 0.977668 | + | 0.317664i | 0.753908 | − | 0.656981i | \(-0.228167\pi\) |
0.223761 | + | 0.974644i | \(0.428167\pi\) | |||||||
\(444\) | 4.61671 | − | 1.50006i | 0.219100 | − | 0.0711898i | ||||
\(445\) | 21.2649 | + | 6.62985i | 1.00805 | + | 0.314285i | ||||
\(446\) | 12.3973 | − | 9.00720i | 0.587031 | − | 0.426503i | ||||
\(447\) | 13.8986 | − | 4.51592i | 0.657381 | − | 0.213596i | ||||
\(448\) | 0.576225 | − | 2.58224i | 0.0272241 | − | 0.121999i | ||||
\(449\) | −28.1981 | − | 20.4871i | −1.33075 | − | 0.966846i | −0.999730 | − | 0.0232212i | \(-0.992608\pi\) |
−0.331018 | − | 0.943624i | \(-0.607392\pi\) | |||||||
\(450\) | 1.07299 | − | 3.59188i | 0.0505811 | − | 0.169323i | ||||
\(451\) | −2.88170 | + | 13.1812i | −0.135694 | + | 0.620681i | ||||
\(452\) | − | 8.36813i | − | 0.393604i | ||||||
\(453\) | −4.97651 | + | 6.84958i | −0.233817 | + | 0.321822i | ||||
\(454\) | −21.9096 | − | 7.11887i | −1.02827 | − | 0.334105i | ||||
\(455\) | −0.960282 | + | 1.67028i | −0.0450187 | + | 0.0783041i | ||||
\(456\) | −2.97752 | + | 2.16329i | −0.139435 | + | 0.101305i | ||||
\(457\) | −31.1079 | + | 22.6012i | −1.45517 | + | 1.05724i | −0.470576 | + | 0.882359i | \(0.655954\pi\) |
−0.984590 | + | 0.174881i | \(0.944046\pi\) | |||||||
\(458\) | −14.8794 | + | 4.83462i | −0.695270 | + | 0.225907i | ||||
\(459\) | −2.88024 | − | 0.935847i | −0.134438 | − | 0.0436816i | ||||
\(460\) | −0.125628 | − | 10.5245i | −0.00585744 | − | 0.490707i | ||||
\(461\) | 21.6531 | 1.00849 | 0.504243 | − | 0.863562i | \(-0.331772\pi\) | ||||
0.504243 | + | 0.863562i | \(0.331772\pi\) | |||||||
\(462\) | 11.9385 | + | 5.54456i | 0.555429 | + | 0.257956i | ||||
\(463\) | − | 11.3856i | − | 0.529136i | −0.964367 | − | 0.264568i | \(-0.914771\pi\) | ||
0.964367 | − | 0.264568i | \(-0.0852293\pi\) | |||||||
\(464\) | 1.41046 | − | 1.94134i | 0.0654792 | − | 0.0901243i | ||||
\(465\) | 1.34179 | − | 0.453751i | 0.0622242 | − | 0.0210422i | ||||
\(466\) | 0.260547 | + | 0.801883i | 0.0120696 | + | 0.0371465i | ||||
\(467\) | 8.29340 | − | 6.02551i | 0.383773 | − | 0.278827i | −0.379126 | − | 0.925345i | \(-0.623775\pi\) |
0.762899 | + | 0.646518i | \(0.223775\pi\) | |||||||
\(468\) | −0.143516 | − | 0.197533i | −0.00663405 | − | 0.00913098i | ||||
\(469\) | −7.53107 | + | 3.26220i | −0.347753 | + | 0.150634i | ||||
\(470\) | −4.59649 | − | 13.5923i | −0.212020 | − | 0.626967i | ||||
\(471\) | 23.2813 | + | 16.9148i | 1.07274 | + | 0.779395i | ||||
\(472\) | − | 3.52003i | − | 0.162022i | ||||||
\(473\) | −2.59899 | + | 0.257945i | −0.119502 | + | 0.0118603i | ||||
\(474\) | − | 0.347751i | − | 0.0159727i | ||||||
\(475\) | 9.74955 | − | 7.44541i | 0.447340 | − | 0.341619i | ||||
\(476\) | 1.39028 | + | 0.310239i | 0.0637232 | + | 0.0142198i | ||||
\(477\) | 7.16815 | − | 2.32907i | 0.328207 | − | 0.106641i | ||||
\(478\) | 4.89498 | + | 6.73736i | 0.223891 | + | 0.308160i | ||||
\(479\) | 23.8610 | − | 17.3360i | 1.09023 | − | 0.792102i | 0.110796 | − | 0.993843i | \(-0.464660\pi\) |
0.979439 | + | 0.201741i | \(0.0646600\pi\) | |||||||
\(480\) | 2.73702 | + | 1.93907i | 0.124927 | + | 0.0885062i | ||||
\(481\) | −0.325658 | + | 1.00227i | −0.0148487 | + | 0.0456997i | ||||
\(482\) | 11.5081 | + | 8.36111i | 0.524179 | + | 0.380838i | ||||
\(483\) | −1.76477 | − | 18.5980i | −0.0802997 | − | 0.846237i | ||||
\(484\) | 5.38922 | + | 9.58939i | 0.244964 | + | 0.435881i | ||||
\(485\) | −21.8683 | + | 16.2905i | −0.992987 | + | 0.739715i | ||||
\(486\) | 6.14150 | + | 4.46206i | 0.278584 | + | 0.202403i | ||||
\(487\) | 17.6380 | + | 5.73095i | 0.799256 | + | 0.259694i | 0.680041 | − | 0.733175i | \(-0.261962\pi\) |
0.119215 | + | 0.992868i | \(0.461962\pi\) | |||||||
\(488\) | −0.995247 | − | 3.06306i | −0.0450527 | − | 0.138658i | ||||
\(489\) | −9.47470 | − | 13.0408i | −0.428461 | − | 0.589726i | ||||
\(490\) | −1.76511 | + | 15.5526i | −0.0797394 | + | 0.702596i | ||||
\(491\) | −0.239562 | + | 0.0778386i | −0.0108113 | + | 0.00351280i | −0.314418 | − | 0.949285i | \(-0.601809\pi\) |
0.303606 | + | 0.952798i | \(0.401809\pi\) | |||||||
\(492\) | −1.88580 | + | 5.80391i | −0.0850186 | + | 0.261660i | ||||
\(493\) | 1.04522 | + | 0.759393i | 0.0470741 | + | 0.0342014i | ||||
\(494\) | − | 0.799005i | − | 0.0359490i | ||||||
\(495\) | 4.10915 | − | 3.74584i | 0.184693 | − | 0.168363i | ||||
\(496\) | − | 0.422276i | − | 0.0189608i | ||||||
\(497\) | −12.8279 | − | 7.58017i | −0.575409 | − | 0.340017i | ||||
\(498\) | −15.9413 | − | 5.17963i | −0.714345 | − | 0.232105i | ||||
\(499\) | −6.64170 | − | 20.4410i | −0.297323 | − | 0.915067i | −0.982431 | − | 0.186625i | \(-0.940245\pi\) |
0.685108 | − | 0.728441i | \(-0.259755\pi\) | |||||||
\(500\) | −9.27456 | − | 6.24360i | −0.414771 | − | 0.279222i | ||||
\(501\) | −6.97421 | − | 9.59918i | −0.311585 | − | 0.428860i | ||||
\(502\) | −9.14150 | + | 2.97025i | −0.408005 | + | 0.132569i | ||||
\(503\) | 34.9094 | + | 11.3427i | 1.55653 | + | 0.505748i | 0.955879 | − | 0.293762i | \(-0.0949073\pi\) |
0.600653 | + | 0.799510i | \(0.294907\pi\) | |||||||
\(504\) | −1.70776 | − | 1.00914i | −0.0760698 | − | 0.0449507i | ||||
\(505\) | 29.3136 | − | 21.8369i | 1.30444 | − | 0.971729i | ||||
\(506\) | 7.88395 | − | 13.4745i | 0.350484 | − | 0.599013i | ||||
\(507\) | 19.3420 | 0.859009 | ||||||||
\(508\) | −9.69463 | − | 7.04356i | −0.430130 | − | 0.312508i | ||||
\(509\) | 13.7937 | + | 4.48183i | 0.611394 | + | 0.198654i | 0.598315 | − | 0.801261i | \(-0.295837\pi\) |
0.0130782 | + | 0.999914i | \(0.495837\pi\) | |||||||
\(510\) | −1.04400 | + | 1.47361i | −0.0462289 | + | 0.0652525i | ||||
\(511\) | −24.8244 | − | 28.1374i | −1.09817 | − | 1.24473i | ||||
\(512\) | 0.809017 | − | 0.587785i | 0.0357538 | − | 0.0259767i | ||||
\(513\) | 4.26462 | + | 13.1252i | 0.188288 | + | 0.579490i | ||||
\(514\) | −4.72111 | + | 14.5301i | −0.208239 | + | 0.640895i | ||||
\(515\) | 27.9405 | − | 0.333518i | 1.23120 | − | 0.0146966i | ||||
\(516\) | −1.18128 | −0.0520029 | ||||||||
\(517\) | 4.54539 | − | 20.7912i | 0.199906 | − | 0.914394i | ||||
\(518\) | 0.808789 | + | 8.52341i | 0.0355361 | + | 0.374497i | ||||
\(519\) | 17.4826 | − | 24.0628i | 0.767402 | − | 1.05624i | ||||
\(520\) | −0.689830 | + | 0.233278i | −0.0302510 | + | 0.0102299i | ||||
\(521\) | −29.1844 | + | 9.48260i | −1.27859 | + | 0.415440i | −0.868085 | − | 0.496416i | \(-0.834649\pi\) |
−0.410509 | + | 0.911856i | \(0.634649\pi\) | |||||||
\(522\) | −1.05749 | − | 1.45551i | −0.0462850 | − | 0.0637058i | ||||
\(523\) | −23.6685 | − | 32.5769i | −1.03495 | − | 1.42449i | −0.901165 | − | 0.433477i | \(-0.857287\pi\) |
−0.133786 | − | 0.991010i | \(-0.542713\pi\) | |||||||
\(524\) | −3.15081 | − | 9.69718i | −0.137644 | − | 0.423623i | ||||
\(525\) | −17.3205 | − | 9.68473i | −0.755930 | − | 0.422676i | ||||
\(526\) | −1.13375 | − | 0.823714i | −0.0494336 | − | 0.0359156i | ||||
\(527\) | 0.227353 | 0.00990367 | ||||||||
\(528\) | 1.99723 | + | 4.55674i | 0.0869183 | + | 0.198307i | ||||
\(529\) | 0.843844 | 0.0366889 | ||||||||
\(530\) | −0.268304 | − | 22.4771i | −0.0116544 | − | 0.976345i | ||||
\(531\) | −2.50995 | − | 0.815533i | −0.108923 | − | 0.0353911i | ||||
\(532\) | −2.58013 | − | 5.95646i | −0.111863 | − | 0.258246i | ||||
\(533\) | −0.778729 | − | 1.07183i | −0.0337305 | − | 0.0464260i | ||||
\(534\) | 8.78329 | + | 12.0892i | 0.380090 | + | 0.523149i | ||||
\(535\) | 5.90782 | + | 4.18546i | 0.255417 | + | 0.180953i | ||||
\(536\) | −2.95023 | − | 0.958586i | −0.127430 | − | 0.0414046i | ||||
\(537\) | 13.5209 | + | 9.82352i | 0.583471 | + | 0.423916i | ||||
\(538\) | 11.9997i | 0.517343i | ||||||||
\(539\) | −14.1303 | + | 18.4210i | −0.608635 | + | 0.793450i | ||||
\(540\) | 10.0866 | − | 7.51394i | 0.434060 | − | 0.323348i | ||||
\(541\) | −24.4152 | + | 33.6046i | −1.04969 | + | 1.44478i | −0.160615 | + | 0.987017i | \(0.551348\pi\) |
−0.889076 | + | 0.457759i | \(0.848652\pi\) | |||||||
\(542\) | 7.70500 | − | 23.7135i | 0.330958 | − | 1.01858i | ||||
\(543\) | −24.3285 | + | 7.90481i | −1.04404 | + | 0.339228i | ||||
\(544\) | 0.316463 | + | 0.435574i | 0.0135683 | + | 0.0186751i | ||||
\(545\) | 38.7036 | + | 12.0668i | 1.65788 | + | 0.516883i | ||||
\(546\) | −1.18602 | + | 0.513744i | −0.0507571 | + | 0.0219862i | ||||
\(547\) | 2.75033 | − | 8.46466i | 0.117596 | − | 0.361923i | −0.874884 | − | 0.484333i | \(-0.839062\pi\) |
0.992480 | + | 0.122410i | \(0.0390623\pi\) | |||||||
\(548\) | 5.32725 | − | 7.33233i | 0.227569 | − | 0.313222i | ||||
\(549\) | −2.41469 | −0.103057 | ||||||||
\(550\) | −7.01770 | − | 15.0250i | −0.299236 | − | 0.640670i | ||||
\(551\) | − | 5.88741i | − | 0.250812i | ||||||
\(552\) | 4.15032 | − | 5.71243i | 0.176649 | − | 0.243137i | ||||
\(553\) | 0.598616 | + | 0.133581i | 0.0254558 | + | 0.00568043i | ||||
\(554\) | −2.37643 | − | 7.31391i | −0.100965 | − | 0.310738i | ||||
\(555\) | −10.3626 | − | 3.23078i | −0.439867 | − | 0.137139i | ||||
\(556\) | 17.1810 | − | 12.4828i | 0.728638 | − | 0.529387i | ||||
\(557\) | −5.59276 | − | 17.2127i | −0.236973 | − | 0.729327i | −0.996854 | − | 0.0792649i | \(-0.974743\pi\) |
0.759881 | − | 0.650062i | \(-0.225257\pi\) | |||||||
\(558\) | −0.301104 | − | 0.0978346i | −0.0127468 | − | 0.00414167i | ||||
\(559\) | 0.150739 | − | 0.207474i | 0.00637556 | − | 0.00877521i | ||||
\(560\) | −4.38928 | + | 3.96664i | −0.185481 | + | 0.167621i | ||||
\(561\) | −2.45335 | + | 1.07531i | −0.103580 | + | 0.0453995i | ||||
\(562\) | − | 12.4278i | − | 0.524233i | ||||||
\(563\) | −5.96933 | + | 8.21608i | −0.251577 | + | 0.346267i | −0.916063 | − | 0.401035i | \(-0.868651\pi\) |
0.664486 | + | 0.747301i | \(0.268651\pi\) | |||||||
\(564\) | 2.97453 | − | 9.15467i | 0.125250 | − | 0.385481i | ||||
\(565\) | −10.8170 | + | 15.2683i | −0.455074 | + | 0.642342i | ||||
\(566\) | 13.1775 | + | 18.1373i | 0.553893 | + | 0.762368i | ||||
\(567\) | 12.2781 | − | 10.8325i | 0.515634 | − | 0.454922i | ||||
\(568\) | −1.74030 | − | 5.35608i | −0.0730212 | − | 0.224736i | ||||
\(569\) | −27.2023 | − | 8.83856i | −1.14038 | − | 0.370532i | −0.322868 | − | 0.946444i | \(-0.604647\pi\) |
−0.817511 | + | 0.575912i | \(0.804647\pi\) | |||||||
\(570\) | 8.22907 | − | 0.0982282i | 0.344678 | − | 0.00411433i | ||||
\(571\) | − | 8.74654i | − | 0.366031i | −0.983110 | − | 0.183016i | \(-0.941414\pi\) | ||
0.983110 | − | 0.183016i | \(-0.0585859\pi\) | |||||||
\(572\) | −1.05518 | − | 0.230685i | −0.0441194 | − | 0.00964543i | ||||
\(573\) | −26.9764 | −1.12696 | ||||||||
\(574\) | −9.26643 | − | 5.47566i | −0.386773 | − | 0.228550i | ||||
\(575\) | −13.3752 | + | 19.3651i | −0.557784 | + | 0.807582i | ||||
\(576\) | −0.231684 | − | 0.713050i | −0.00965349 | − | 0.0297104i | ||||
\(577\) | −13.4356 | + | 9.76153i | −0.559331 | + | 0.406378i | −0.831214 | − | 0.555952i | \(-0.812354\pi\) |
0.271883 | + | 0.962330i | \(0.412354\pi\) | |||||||
\(578\) | 13.5188 | − | 9.82197i | 0.562307 | − | 0.408540i | ||||
\(579\) | −5.71041 | − | 17.5748i | −0.237316 | − | 0.730385i | ||||
\(580\) | −5.08295 | + | 1.71889i | −0.211058 | + | 0.0713731i | ||||
\(581\) | 15.0397 | − | 25.4516i | 0.623951 | − | 1.05591i | ||||
\(582\) | −18.2937 | −0.758298 | ||||||||
\(583\) | 16.8377 | − | 28.7774i | 0.697348 | − | 1.19184i | ||||
\(584\) | − | 14.1823i | − | 0.586869i | ||||||
\(585\) | 0.00651662 | + | 0.545930i | 0.000269429 | + | 0.0225714i | ||||
\(586\) | −7.66041 | − | 2.48902i | −0.316448 | − | 0.102820i | ||||
\(587\) | −3.69244 | − | 11.3642i | −0.152403 | − | 0.469049i | 0.845485 | − | 0.533999i | \(-0.179311\pi\) |
−0.997889 | + | 0.0649498i | \(0.979311\pi\) | |||||||
\(588\) | −7.18265 | + | 7.65977i | −0.296207 | + | 0.315884i | ||||
\(589\) | −0.608970 | − | 0.838176i | −0.0250922 | − | 0.0345364i | ||||
\(590\) | −4.55013 | + | 6.42255i | −0.187326 | + | 0.264412i | ||||
\(591\) | 0.0956794 | − | 0.294471i | 0.00393572 | − | 0.0121129i | ||||
\(592\) | −1.90208 | + | 2.61799i | −0.0781751 | + | 0.107599i | ||||
\(593\) | 27.5376i | 1.13083i | 0.824805 | + | 0.565417i | \(0.191285\pi\) | ||||
−0.824805 | + | 0.565417i | \(0.808715\pi\) | |||||||
\(594\) | 18.5646 | − | 1.84251i | 0.761715 | − | 0.0755989i | ||||
\(595\) | −2.13564 | − | 2.36319i | −0.0875526 | − | 0.0968812i | ||||
\(596\) | −5.72621 | + | 7.88145i | −0.234555 | + | 0.322837i | ||||
\(597\) | −31.8040 | − | 10.3337i | −1.30165 | − | 0.422932i | ||||
\(598\) | 0.473695 | + | 1.45788i | 0.0193708 | + | 0.0596173i | ||||
\(599\) | 22.5834 | − | 16.4078i | 0.922731 | − | 0.670404i | −0.0214710 | − | 0.999769i | \(-0.506835\pi\) |
0.944202 | + | 0.329366i | \(0.106835\pi\) | |||||||
\(600\) | −2.48737 | − | 7.07597i | −0.101547 | − | 0.288875i | ||||
\(601\) | −5.00782 | − | 15.4125i | −0.204273 | − | 0.628689i | −0.999742 | − | 0.0226947i | \(-0.992775\pi\) |
0.795469 | − | 0.605994i | \(-0.207225\pi\) | |||||||
\(602\) | 0.453762 | − | 2.03345i | 0.0184940 | − | 0.0828771i | ||||
\(603\) | −1.36704 | + | 1.88157i | −0.0556701 | + | 0.0766234i | ||||
\(604\) | − | 5.64405i | − | 0.229653i | ||||||
\(605\) | 2.56261 | − | 24.4629i | 0.104185 | − | 0.994558i | ||||
\(606\) | 24.5220 | 0.996140 | ||||||||
\(607\) | −5.97460 | + | 8.22333i | −0.242501 | + | 0.333775i | −0.912867 | − | 0.408256i | \(-0.866137\pi\) |
0.670366 | + | 0.742031i | \(0.266137\pi\) | |||||||
\(608\) | 0.758164 | − | 2.33339i | 0.0307476 | − | 0.0946314i | ||||
\(609\) | −8.73911 | + | 3.78548i | −0.354127 | + | 0.153395i | ||||
\(610\) | −2.14353 | + | 6.87528i | −0.0867890 | + | 0.278372i | ||||
\(611\) | 1.22831 | + | 1.69063i | 0.0496922 | + | 0.0683954i | ||||
\(612\) | 0.383906 | − | 0.124738i | 0.0155185 | − | 0.00504225i | ||||
\(613\) | 3.52773 | − | 10.8572i | 0.142484 | − | 0.438520i | −0.854195 | − | 0.519953i | \(-0.825950\pi\) |
0.996679 | + | 0.0814326i | \(0.0259495\pi\) | |||||||
\(614\) | 15.1397 | − | 20.8380i | 0.610989 | − | 0.840955i | ||||
\(615\) | 10.9432 | − | 8.15200i | 0.441271 | − | 0.328720i | ||||
\(616\) | −8.61115 | + | 1.68765i | −0.346953 | + | 0.0679974i | ||||
\(617\) | − | 22.6358i | − | 0.911285i | −0.890163 | − | 0.455642i | \(-0.849410\pi\) | ||
0.890163 | − | 0.455642i | \(-0.150590\pi\) | |||||||
\(618\) | 15.1654 | + | 11.0183i | 0.610041 | + | 0.443221i | ||||
\(619\) | −23.5446 | − | 7.65009i | −0.946336 | − | 0.307483i | −0.205110 | − | 0.978739i | \(-0.565755\pi\) |
−0.741226 | + | 0.671256i | \(0.765755\pi\) | |||||||
\(620\) | −0.545852 | + | 0.770475i | −0.0219220 | + | 0.0309430i | ||||
\(621\) | −15.5626 | − | 21.4201i | −0.624508 | − | 0.859561i | ||||
\(622\) | 15.2219 | + | 20.9511i | 0.610341 | + | 0.840062i | ||||
\(623\) | −24.1841 | + | 10.4757i | −0.968917 | + | 0.419701i | ||||
\(624\) | −0.464613 | − | 0.150962i | −0.0185994 | − | 0.00604331i | ||||
\(625\) | 8.85139 | + | 23.3806i | 0.354056 | + | 0.935224i | ||||
\(626\) | 0.935404 | 0.0373862 | ||||||||
\(627\) | 10.5356 | + | 6.16443i | 0.420753 | + | 0.246184i | ||||
\(628\) | −19.1837 | −0.765515 | ||||||||
\(629\) | −1.40953 | − | 1.02408i | −0.0562015 | − | 0.0408328i | ||||
\(630\) | 1.81149 | + | 4.04878i | 0.0721714 | + | 0.161307i | ||||
\(631\) | 9.51865 | + | 29.2954i | 0.378932 | + | 1.16623i | 0.940788 | + | 0.338996i | \(0.110087\pi\) |
−0.561856 | + | 0.827235i | \(0.689913\pi\) | |||||||
\(632\) | 0.136261 | + | 0.187547i | 0.00542016 | + | 0.00746021i | ||||
\(633\) | 3.83576 | + | 5.27948i | 0.152458 | + | 0.209840i | ||||
\(634\) | −18.9502 | + | 6.15730i | −0.752609 | + | 0.244538i | ||||
\(635\) | 8.58379 | + | 25.3832i | 0.340637 | + | 1.00730i | ||||
\(636\) | 8.86383 | − | 12.2000i | 0.351474 | − | 0.483762i | ||||
\(637\) | −0.428772 | − | 2.23896i | −0.0169886 | − | 0.0887108i | ||||
\(638\) | −7.77502 | − | 1.69978i | −0.307816 | − | 0.0672951i | ||||
\(639\) | −4.22235 | −0.167033 | ||||||||
\(640\) | −2.23591 | + | 0.0266895i | −0.0883821 | + | 0.00105499i | ||||
\(641\) | 5.84241 | − | 17.9811i | 0.230761 | − | 0.710210i | −0.766894 | − | 0.641774i | \(-0.778199\pi\) |
0.997655 | − | 0.0684367i | \(-0.0218011\pi\) | |||||||
\(642\) | 1.50094 | + | 4.61942i | 0.0592374 | + | 0.182314i | ||||
\(643\) | −23.5788 | + | 17.1310i | −0.929856 | + | 0.675580i | −0.945958 | − | 0.324290i | \(-0.894874\pi\) |
0.0161016 | + | 0.999870i | \(0.494874\pi\) | |||||||
\(644\) | 8.23909 | + | 9.33865i | 0.324666 | + | 0.367994i | ||||
\(645\) | 2.15533 | + | 1.52697i | 0.0848661 | + | 0.0601244i | ||||
\(646\) | 1.25629 | + | 0.408195i | 0.0494283 | + | 0.0160602i | ||||
\(647\) | 4.93972 | + | 3.58891i | 0.194200 | + | 0.141095i | 0.680636 | − | 0.732621i | \(-0.261703\pi\) |
−0.486436 | + | 0.873716i | \(0.661703\pi\) | |||||||
\(648\) | 6.18865 | 0.243113 | ||||||||
\(649\) | −10.6926 | + | 4.68660i | −0.419722 | + | 0.183965i | ||||
\(650\) | 1.56019 | + | 0.466069i | 0.0611958 | + | 0.0182807i | ||||
\(651\) | −0.852611 | + | 1.44287i | −0.0334165 | + | 0.0565505i | ||||
\(652\) | 10.2197 | + | 3.32057i | 0.400233 | + | 0.130044i | ||||
\(653\) | 34.6497 | − | 11.2584i | 1.35595 | − | 0.440574i | 0.461259 | − | 0.887265i | \(-0.347398\pi\) |
0.894688 | + | 0.446691i | \(0.147398\pi\) | |||||||
\(654\) | 15.9862 | + | 22.0031i | 0.625108 | + | 0.860388i | ||||
\(655\) | −6.78610 | + | 21.7661i | −0.265155 | + | 0.850472i | ||||
\(656\) | −1.25713 | − | 3.86905i | −0.0490827 | − | 0.151061i | ||||
\(657\) | −10.1127 | − | 3.28582i | −0.394534 | − | 0.128192i | ||||
\(658\) | 14.6162 | + | 8.63692i | 0.569799 | + | 0.336702i | ||||
\(659\) | − | 22.5251i | − | 0.877454i | −0.898620 | − | 0.438727i | \(-0.855430\pi\) | ||
0.898620 | − | 0.438727i | \(-0.144570\pi\) | |||||||
\(660\) | 2.24614 | − | 10.8958i | 0.0874307 | − | 0.424119i | ||||
\(661\) | 15.4324i | 0.600250i | 0.953900 | + | 0.300125i | \(0.0970283\pi\) | ||||
−0.953900 | + | 0.300125i | \(0.902972\pi\) | |||||||
\(662\) | −11.6838 | − | 8.48879i | −0.454105 | − | 0.329926i | ||||
\(663\) | 0.0812778 | − | 0.250147i | 0.00315657 | − | 0.00971492i | ||||
\(664\) | 10.6269 | − | 3.45289i | 0.412404 | − | 0.133998i | ||||
\(665\) | −2.99193 | + | 14.2032i | −0.116022 | + | 0.550777i | ||||
\(666\) | 1.42608 | + | 1.96283i | 0.0552593 | + | 0.0760580i | ||||
\(667\) | 3.49038 | + | 10.7423i | 0.135148 | + | 0.415943i | ||||
\(668\) | 7.52258 | + | 2.44424i | 0.291057 | + | 0.0945703i | ||||
\(669\) | −18.5971 | − | 13.5116i | −0.719004 | − | 0.522387i | ||||
\(670\) | 4.14380 | + | 5.56260i | 0.160089 | + | 0.214902i | ||||
\(671\) | −7.97942 | + | 7.10140i | −0.308042 | + | 0.274147i | ||||
\(672\) | −3.95110 | + | 0.374922i | −0.152417 | + | 0.0144629i | ||||
\(673\) | 2.86608 | + | 2.08233i | 0.110479 | + | 0.0802678i | 0.641653 | − | 0.766995i | \(-0.278249\pi\) |
−0.531174 | + | 0.847263i | \(0.678249\pi\) | |||||||
\(674\) | 9.72849 | − | 29.9412i | 0.374727 | − | 1.15329i | ||||
\(675\) | −28.1167 | + | 0.671339i | −1.08221 | + | 0.0258398i | ||||
\(676\) | −10.4314 | + | 7.57887i | −0.401208 | + | 0.291495i | ||||
\(677\) | −6.39270 | − | 8.79880i | −0.245692 | − | 0.338165i | 0.668305 | − | 0.743887i | \(-0.267020\pi\) |
−0.913997 | + | 0.405722i | \(0.867020\pi\) | |||||||
\(678\) | −11.9385 | + | 3.87906i | −0.458496 | + | 0.148974i | ||||
\(679\) | 7.02712 | − | 31.4907i | 0.269676 | − | 1.20850i | ||||
\(680\) | −0.0143696 | − | 1.20381i | −0.000551049 | − | 0.0461641i | ||||
\(681\) | 34.5577i | 1.32425i | ||||||||
\(682\) | −1.28273 | + | 0.562224i | −0.0491183 | + | 0.0215287i | ||||
\(683\) | 2.39383i | 0.0915974i | 0.998951 | + | 0.0457987i | \(0.0145833\pi\) | ||||
−0.998951 | + | 0.0457987i | \(0.985417\pi\) | |||||||
\(684\) | −1.48817 | − | 1.08122i | −0.0569015 | − | 0.0413413i | ||||
\(685\) | −19.1980 | + | 6.49217i | −0.733520 | + | 0.248053i | ||||
\(686\) | −10.4264 | − | 15.3065i | −0.398083 | − | 0.584406i | ||||
\(687\) | 13.7948 | + | 18.9869i | 0.526304 | + | 0.724395i | ||||
\(688\) | 0.637080 | − | 0.462866i | 0.0242884 | − | 0.0176466i | ||||
\(689\) | 1.01167 | + | 3.11360i | 0.0385415 | + | 0.118619i | ||||
\(690\) | −14.9567 | + | 5.05788i | −0.569392 | + | 0.192550i | ||||
\(691\) | −22.4766 | + | 30.9364i | −0.855049 | + | 1.17687i | 0.127678 | + | 0.991816i | \(0.459248\pi\) |
−0.982727 | + | 0.185059i | \(0.940752\pi\) | |||||||
\(692\) | 19.8277i | 0.753735i | ||||||||
\(693\) | −0.791685 | + | 6.53118i | −0.0300736 | + | 0.248099i | ||||
\(694\) | 5.14714 | 0.195383 | ||||||||
\(695\) | −47.4838 | + | 0.566802i | −1.80116 | + | 0.0215000i | ||||
\(696\) | −3.42346 | − | 1.11235i | −0.129766 | − | 0.0421635i | ||||
\(697\) | 2.08310 | − | 0.676839i | 0.0789029 | − | 0.0256371i | ||||
\(698\) | −4.14097 | + | 3.00859i | −0.156738 | + | 0.113877i | ||||
\(699\) | 1.02324 | − | 0.743428i | 0.0387025 | − | 0.0281190i | ||||
\(700\) | 13.1360 | − | 1.56367i | 0.496495 | − | 0.0591012i | ||||
\(701\) | −10.0187 | − | 3.25527i | −0.378401 | − | 0.122950i | 0.113640 | − | 0.993522i | \(-0.463749\pi\) |
−0.492041 | + | 0.870572i | \(0.663749\pi\) | |||||||
\(702\) | −1.07673 | + | 1.48199i | −0.0406384 | + | 0.0559340i | ||||
\(703\) | 7.93947i | 0.299443i | ||||||||
\(704\) | −2.86262 | − | 1.67493i | −0.107889 | − | 0.0631263i | ||||
\(705\) | −17.2610 | + | 12.8584i | −0.650086 | + | 0.484275i | ||||
\(706\) | 2.71214 | + | 1.97048i | 0.102073 | + | 0.0741601i | ||||
\(707\) | −9.41961 | + | 42.2121i | −0.354261 | + | 1.58755i | ||||
\(708\) | −5.02190 | + | 1.63171i | −0.188735 | + | 0.0613236i | ||||
\(709\) | 39.3761 | − | 28.6084i | 1.47880 | − | 1.07441i | 0.500861 | − | 0.865528i | \(-0.333017\pi\) |
0.977940 | − | 0.208884i | \(-0.0669832\pi\) | |||||||
\(710\) | −3.74819 | + | 12.0221i | −0.140667 | + | 0.451183i | ||||
\(711\) | 0.165300 | − | 0.0537091i | 0.00619922 | − | 0.00201425i | ||||
\(712\) | −9.47390 | − | 3.07826i | −0.355049 | − | 0.115363i | ||||
\(713\) | 1.60806 | + | 1.16832i | 0.0602222 | + | 0.0437540i | ||||
\(714\) | −0.201858 | − | 2.12727i | −0.00755433 | − | 0.0796112i | ||||
\(715\) | 1.62707 | + | 1.78488i | 0.0608488 | + | 0.0667505i | ||||
\(716\) | −11.1412 | −0.416367 | ||||||||
\(717\) | 7.34289 | − | 10.1066i | 0.274225 | − | 0.377439i | ||||
\(718\) | −14.6734 | − | 4.76767i | −0.547606 | − | 0.177928i | ||||
\(719\) | −20.8648 | + | 6.77937i | −0.778124 | + | 0.252828i | −0.671039 | − | 0.741422i | \(-0.734152\pi\) |
−0.107085 | + | 0.994250i | \(0.534152\pi\) | |||||||
\(720\) | −0.498993 | + | 1.60050i | −0.0185964 | + | 0.0596470i | ||||
\(721\) | −24.7923 | + | 21.8732i | −0.923313 | + | 0.814600i | ||||
\(722\) | 4.01119 | + | 12.3452i | 0.149281 | + | 0.459440i | ||||
\(723\) | 6.59392 | − | 20.2940i | 0.245230 | − | 0.754741i | ||||
\(724\) | 10.0233 | − | 13.7959i | 0.372514 | − | 0.512721i | ||||
\(725\) | 11.4961 | + | 3.43419i | 0.426956 | + | 0.127543i | ||||
\(726\) | 11.1827 | − | 12.1338i | 0.415028 | − | 0.450327i | ||||
\(727\) | −19.2838 | −0.715197 | −0.357599 | − | 0.933875i | \(-0.616404\pi\) | ||||
−0.357599 | + | 0.933875i | \(0.616404\pi\) | |||||||
\(728\) | 0.438336 | − | 0.741794i | 0.0162458 | − | 0.0274927i | ||||
\(729\) | 9.25616 | − | 28.4875i | 0.342821 | − | 1.05509i | ||||
\(730\) | −18.3327 | + | 25.8767i | −0.678522 | + | 0.957740i | ||||
\(731\) | 0.249207 | + | 0.343004i | 0.00921724 | + | 0.0126864i | ||||
\(732\) | −3.90861 | + | 2.83977i | −0.144466 | + | 0.104961i | ||||
\(733\) | −20.2610 | + | 6.58320i | −0.748357 | + | 0.243156i | −0.658274 | − | 0.752778i | \(-0.728713\pi\) |
−0.0900830 | + | 0.995934i | \(0.528713\pi\) | |||||||
\(734\) | −3.88417 | + | 11.9542i | −0.143367 | + | 0.441239i | ||||
\(735\) | 23.0066 | − | 4.69123i | 0.848612 | − | 0.173039i | ||||
\(736\) | 4.70703i | 0.173504i | ||||||||
\(737\) | 1.01611 | + | 10.2380i | 0.0374289 | + | 0.377123i | ||||
\(738\) | −3.05008 | −0.112275 | ||||||||
\(739\) | 29.1699 | − | 40.1489i | 1.07303 | − | 1.47690i | 0.206062 | − | 0.978539i | \(-0.433935\pi\) |
0.866969 | − | 0.498362i | \(-0.166065\pi\) | |||||||
\(740\) | 6.85462 | − | 2.31801i | 0.251981 | − | 0.0852119i | ||||
\(741\) | −1.13991 | + | 0.370380i | −0.0418758 | + | 0.0136063i | ||||
\(742\) | 17.5962 | + | 19.9445i | 0.645977 | + | 0.732187i | ||||
\(743\) | −36.3102 | + | 26.3809i | −1.33209 | + | 0.967822i | −0.332397 | + | 0.943140i | \(0.607857\pi\) |
−0.999695 | + | 0.0246822i | \(0.992143\pi\) | |||||||
\(744\) | −0.602447 | + | 0.195747i | −0.0220868 | + | 0.00717643i | ||||
\(745\) | 20.6358 | − | 6.97837i | 0.756037 | − | 0.255668i | ||||
\(746\) | 30.2749 | + | 21.9960i | 1.10844 | + | 0.805331i | ||||
\(747\) | − | 8.37749i | − | 0.306516i | ||||||
\(748\) | 0.901782 | − | 1.54123i | 0.0329724 | − | 0.0563531i | ||||
\(749\) | −8.52840 | + | 0.809263i | −0.311621 | + | 0.0295698i | ||||
\(750\) | −4.60830 | + | 16.1259i | −0.168271 | + | 0.588836i | ||||
\(751\) | −1.54932 | + | 4.76832i | −0.0565355 | + | 0.173998i | −0.975337 | − | 0.220722i | \(-0.929159\pi\) |
0.918801 | + | 0.394721i | \(0.129159\pi\) | |||||||
\(752\) | 1.98291 | + | 6.10277i | 0.0723093 | + | 0.222545i | ||||
\(753\) | 8.47512 | + | 11.6650i | 0.308851 | + | 0.425096i | ||||
\(754\) | 0.632223 | − | 0.459337i | 0.0230242 | − | 0.0167281i | ||||
\(755\) | −7.29573 | + | 10.2980i | −0.265519 | + | 0.374782i | ||||
\(756\) | −3.24123 | + | 14.5249i | −0.117882 | + | 0.528267i | ||||
\(757\) | −24.1802 | + | 33.2812i | −0.878843 | + | 1.20962i | 0.0978964 | + | 0.995197i | \(0.468789\pi\) |
−0.976740 | + | 0.214428i | \(0.931211\pi\) | |||||||
\(758\) | 25.0971 | 0.911567 | ||||||||
\(759\) | −22.8782 | − | 5.00165i | −0.830425 | − | 0.181549i | ||||
\(760\) | −4.39956 | + | 3.27741i | −0.159589 | + | 0.118884i | ||||
\(761\) | −36.0123 | − | 26.1645i | −1.30544 | − | 0.948461i | −0.305452 | − | 0.952208i | \(-0.598807\pi\) |
−0.999993 | + | 0.00374636i | \(0.998807\pi\) | |||||||
\(762\) | −5.55485 | + | 17.0961i | −0.201231 | + | 0.619325i | ||||
\(763\) | −44.0167 | + | 19.0665i | −1.59351 | + | 0.690254i | ||||
\(764\) | 14.5488 | − | 10.5703i | 0.526355 | − | 0.382420i | ||||
\(765\) | −0.861707 | − | 0.268658i | −0.0311551 | − | 0.00971334i | ||||
\(766\) | 5.86432 | + | 18.0485i | 0.211887 | + | 0.652120i | ||||
\(767\) | 0.354240 | − | 1.09024i | 0.0127909 | − | 0.0393662i | ||||
\(768\) | −1.21359 | − | 0.881728i | −0.0437918 | − | 0.0318166i | ||||
\(769\) | 19.1126 | 0.689217 | 0.344609 | − | 0.938746i | \(-0.388012\pi\) | ||||
0.344609 | + | 0.938746i | \(0.388012\pi\) | |||||||
\(770\) | 17.8932 | + | 8.05188i | 0.644827 | + | 0.290170i | ||||
\(771\) | 22.9181 | 0.825374 | ||||||||
\(772\) | 9.96613 | + | 7.24082i | 0.358689 | + | 0.260603i | ||||
\(773\) | 13.2208 | − | 40.6895i | 0.475520 | − | 1.46350i | −0.369736 | − | 0.929137i | \(-0.620552\pi\) |
0.845256 | − | 0.534362i | \(-0.179448\pi\) | |||||||
\(774\) | −0.182445 | − | 0.561508i | −0.00655785 | − | 0.0201830i | ||||
\(775\) | 1.99190 | − | 0.700199i | 0.0715511 | − | 0.0251519i | ||||
\(776\) | 9.86605 | − | 7.16810i | 0.354170 | − | 0.257320i | ||||
\(777\) | 11.7851 | − | 5.10491i | 0.422789 | − | 0.183138i | ||||
\(778\) | −4.11649 | + | 12.6693i | −0.147583 | + | 0.454215i | ||||
\(779\) | −8.07489 | − | 5.86675i | −0.289313 | − | 0.210198i | ||||
\(780\) | 0.652582 | + | 0.876020i | 0.0233662 | + | 0.0313665i | ||||
\(781\) | −13.9529 | + | 12.4176i | −0.499273 | + | 0.444335i | ||||
\(782\) | −2.53426 | −0.0906251 | ||||||||
\(783\) | −7.93377 | + | 10.9199i | −0.283530 | + | 0.390245i | ||||
\(784\) | 0.872342 | − | 6.94543i | 0.0311551 | − | 0.248051i | ||||
\(785\) | 35.0022 | + | 24.7977i | 1.24928 | + | 0.885068i | ||||
\(786\) | −12.3741 | + | 8.99029i | −0.441369 | + | 0.320673i | ||||
\(787\) | 4.14868 | + | 5.71017i | 0.147885 | + | 0.203546i | 0.876532 | − | 0.481343i | \(-0.159851\pi\) |
−0.728648 | + | 0.684889i | \(0.759851\pi\) | |||||||
\(788\) | 0.0637826 | + | 0.196303i | 0.00227216 | + | 0.00699300i | ||||
\(789\) | −0.649615 | + | 1.99931i | −0.0231269 | + | 0.0711773i | ||||
\(790\) | −0.00618717 | − | 0.518330i | −0.000220130 | − | 0.0184413i | ||||
\(791\) | −2.09148 | − | 22.0410i | −0.0743643 | − | 0.783687i | ||||
\(792\) | −1.85753 | + | 1.65314i | −0.0660045 | + | 0.0587417i | ||||
\(793\) | − | 1.04886i | − | 0.0372461i | ||||||
\(794\) | −26.3331 | − | 19.1321i | −0.934525 | − | 0.678972i | ||||
\(795\) | −31.9430 | + | 10.8021i | −1.13290 | + | 0.383111i | ||||
\(796\) | 21.2015 | − | 6.88878i | 0.751466 | − | 0.244166i | ||||
\(797\) | −4.11659 | + | 2.99088i | −0.145817 | + | 0.105942i | −0.658302 | − | 0.752754i | \(-0.728725\pi\) |
0.512485 | + | 0.858696i | \(0.328725\pi\) | |||||||
\(798\) | −7.30186 | + | 6.44212i | −0.258483 | + | 0.228049i | ||||
\(799\) | −3.28573 | + | 1.06760i | −0.116241 | + | 0.0377689i | ||||
\(800\) | 4.11408 | + | 2.84153i | 0.145455 | + | 0.100463i | ||||
\(801\) | −4.38990 | + | 6.04218i | −0.155109 | + | 0.213490i | ||||
\(802\) | 18.2893 | 0.645819 | ||||||||
\(803\) | −43.0810 | + | 18.8825i | −1.52030 | + | 0.666349i | ||||
\(804\) | 4.65334i | 0.164111i | ||||||||
\(805\) | −2.96132 | − | 27.6893i | −0.104373 | − | 0.975919i | ||||
\(806\) | 0.0424960 | − | 0.130789i | 0.00149686 | − | 0.00460686i | ||||
\(807\) | 17.1195 | − | 5.56247i | 0.602636 | − | 0.195808i | ||||
\(808\) | −13.2251 | + | 9.60858i | −0.465257 | + | 0.338029i | ||||
\(809\) | 8.93070 | + | 12.2921i | 0.313987 | + | 0.432166i | 0.936619 | − | 0.350349i | \(-0.113937\pi\) |
−0.622633 | + | 0.782514i | \(0.713937\pi\) | |||||||
\(810\) | −11.2917 | − | 7.99971i | −0.396748 | − | 0.281081i | ||||
\(811\) | 5.34308 | − | 16.4443i | 0.187621 | − | 0.577438i | −0.812363 | − | 0.583152i | \(-0.801819\pi\) |
0.999984 | + | 0.00571471i | \(0.00181906\pi\) | |||||||
\(812\) | 3.22984 | − | 5.46585i | 0.113345 | − | 0.191814i | ||||
\(813\) | −37.4030 | −1.31178 | ||||||||
\(814\) | 10.4850 | + | 2.29225i | 0.367499 | + | 0.0803432i | ||||
\(815\) | −14.3543 | − | 19.2690i | −0.502808 | − | 0.674965i | ||||
\(816\) | 0.474722 | − | 0.653399i | 0.0166186 | − | 0.0228735i | ||||
\(817\) | 0.597034 | − | 1.83748i | 0.0208876 | − | 0.0642854i | ||||
\(818\) | 7.94158 | + | 24.4417i | 0.277671 | + | 0.854583i | ||||
\(819\) | −0.427381 | − | 0.484417i | −0.0149339 | − | 0.0169269i | ||||
\(820\) | −2.70757 | + | 8.68440i | −0.0945524 | + | 0.303272i | ||||
\(821\) | 48.4617 | − | 15.7462i | 1.69132 | − | 0.549545i | 0.704271 | − | 0.709932i | \(-0.251274\pi\) |
0.987054 | + | 0.160387i | \(0.0512741\pi\) | |||||||
\(822\) | −12.9302 | − | 4.20129i | −0.450994 | − | 0.146537i | ||||
\(823\) | 26.8446 | − | 36.9484i | 0.935743 | − | 1.28794i | −0.0218344 | − | 0.999762i | \(-0.506951\pi\) |
0.957577 | − | 0.288178i | \(-0.0930493\pi\) | |||||||
\(824\) | −12.4962 | −0.435327 | ||||||||
\(825\) | −18.1826 | + | 16.9768i | −0.633038 | + | 0.591056i | ||||
\(826\) | −0.879772 | − | 9.27147i | −0.0306112 | − | 0.322596i | ||||
\(827\) | 34.3516 | + | 24.9579i | 1.19452 | + | 0.867872i | 0.993735 | − | 0.111763i | \(-0.0356496\pi\) |
0.200788 | + | 0.979635i | \(0.435650\pi\) | |||||||
\(828\) | 3.35635 | + | 1.09054i | 0.116641 | + | 0.0378990i | ||||
\(829\) | −39.6396 | + | 12.8797i | −1.37674 | + | 0.447331i | −0.901597 | − | 0.432577i | \(-0.857604\pi\) |
−0.475145 | + | 0.879908i | \(0.657604\pi\) | |||||||
\(830\) | −23.8529 | − | 7.43672i | −0.827948 | − | 0.258132i | ||||
\(831\) | −9.33290 | + | 6.78075i | −0.323755 | + | 0.235222i | ||||
\(832\) | 0.309724 | − | 0.100636i | 0.0107378 | − | 0.00348891i | ||||
\(833\) | 3.73942 | + | 0.469669i | 0.129563 | + | 0.0162731i | ||||
\(834\) | −25.7730 | − | 18.7252i | −0.892447 | − | 0.648400i | ||||
\(835\) | −10.5660 | − | 14.1837i | −0.365652 | − | 0.490847i | ||||
\(836\) | −8.09745 | + | 0.803659i | −0.280056 | + | 0.0277951i | ||||
\(837\) | 2.37528i | 0.0821016i | ||||||||
\(838\) | −0.0447652 | + | 0.0616140i | −0.00154639 | + | 0.00212842i | ||||
\(839\) | 39.9478 | + | 12.9798i | 1.37915 | + | 0.448113i | 0.902390 | − | 0.430920i | \(-0.141811\pi\) |
0.476761 | + | 0.879033i | \(0.341811\pi\) | |||||||
\(840\) | 7.69373 | + | 4.42329i | 0.265459 | + | 0.152618i | ||||
\(841\) | −18.8030 | + | 13.6612i | −0.648380 | + | 0.471075i | ||||
\(842\) | −2.05018 | + | 1.48954i | −0.0706539 | + | 0.0513330i | ||||
\(843\) | −17.7302 | + | 5.76091i | −0.610662 | + | 0.198416i | ||||
\(844\) | −4.13736 | − | 1.34431i | −0.142414 | − | 0.0462731i | ||||
\(845\) | 28.8297 | − | 0.344132i | 0.991771 | − | 0.0118385i | ||||
\(846\) | 4.81099 | 0.165405 | ||||||||
\(847\) | 16.5915 | + | 23.9107i | 0.570090 | + | 0.821582i | ||||
\(848\) | 10.0528i | 0.345215i | ||||||||
\(849\) | 19.7674 | − | 27.2075i | 0.678416 | − | 0.933760i | ||||
\(850\) | −1.52988 | + | 2.21502i | −0.0524744 | + | 0.0759746i | ||||
\(851\) | −4.70696 | − | 14.4865i | −0.161352 | − | 0.496592i | ||||
\(852\) | −6.83462 | + | 4.96564i | −0.234150 | + | 0.170120i | ||||
\(853\) | 4.59884 | + | 6.32976i | 0.157461 | + | 0.216727i | 0.880457 | − | 0.474125i | \(-0.157236\pi\) |
−0.722996 | + | 0.690852i | \(0.757236\pi\) | |||||||
\(854\) | −3.38696 | − | 7.81910i | −0.115899 | − | 0.267564i | ||||
\(855\) | 1.31765 | + | 3.89643i | 0.0450626 | + | 0.133255i | ||||
\(856\) | −2.61953 | − | 1.90320i | −0.0895336 | − | 0.0650500i | ||||
\(857\) | 7.83870i | 0.267765i | 0.990997 | + | 0.133882i | \(0.0427445\pi\) | ||||
−0.990997 | + | 0.133882i | \(0.957256\pi\) | |||||||
\(858\) | 0.160021 | + | 1.61233i | 0.00546302 | + | 0.0550439i | ||||
\(859\) | 39.2036i | 1.33761i | 0.743438 | + | 0.668805i | \(0.233194\pi\) | ||||
−0.743438 | + | 0.668805i | \(0.766806\pi\) | |||||||
\(860\) | −1.76072 | + | 0.0210173i | −0.0600401 | + | 0.000716683i | ||||
\(861\) | −3.51647 | + | 15.7584i | −0.119841 | + | 0.537043i | ||||
\(862\) | 17.0007 | − | 5.52385i | 0.579045 | − | 0.188143i | ||||
\(863\) | −11.4844 | − | 15.8070i | −0.390935 | − | 0.538075i | 0.567505 | − | 0.823370i | \(-0.307909\pi\) |
−0.958440 | + | 0.285294i | \(0.907909\pi\) | |||||||
\(864\) | −4.55067 | + | 3.30625i | −0.154817 | + | 0.112481i | ||||
\(865\) | 25.6301 | − | 36.1771i | 0.871449 | − | 1.23006i | ||||
\(866\) | −0.0743891 | + | 0.228946i | −0.00252784 | + | 0.00777991i | ||||
\(867\) | −20.2793 | − | 14.7338i | −0.688722 | − | 0.500386i | ||||
\(868\) | −0.105541 | − | 1.11224i | −0.00358230 | − | 0.0377520i | ||||
\(869\) | 0.388283 | − | 0.663615i | 0.0131716 | − | 0.0225116i | ||||
\(870\) | 4.80850 | + | 6.45488i | 0.163023 | + | 0.218841i | ||||
\(871\) | −0.817289 | − | 0.593795i | −0.0276928 | − | 0.0201200i | ||||
\(872\) | −17.2431 | − | 5.60263i | −0.583926 | − | 0.189729i | ||||
\(873\) | −2.82541 | − | 8.69572i | −0.0956256 | − | 0.294305i | ||||
\(874\) | 6.78807 | + | 9.34298i | 0.229610 | + | 0.316031i | ||||
\(875\) | −25.9889 | − | 14.1271i | −0.878586 | − | 0.477584i | ||||
\(876\) | −20.2334 | + | 6.57424i | −0.683624 | + | 0.222123i | ||||
\(877\) | 6.70334 | − | 20.6308i | 0.226356 | − | 0.696651i | −0.771795 | − | 0.635871i | \(-0.780641\pi\) |
0.998151 | − | 0.0607804i | \(-0.0193589\pi\) | |||||||
\(878\) | 12.1765 | + | 8.84671i | 0.410935 | + | 0.298562i | ||||
\(879\) | 12.0826i | 0.407537i | ||||||||
\(880\) | 3.05799 | + | 6.75638i | 0.103085 | + | 0.227758i | ||||
\(881\) | 20.0203i | 0.674503i | 0.941415 | + | 0.337251i | \(0.109497\pi\) | ||||
−0.941415 | + | 0.337251i | \(0.890503\pi\) | |||||||
\(882\) | −4.75033 | − | 2.23117i | −0.159952 | − | 0.0751273i | ||||
\(883\) | −26.8896 | − | 8.73697i | −0.904908 | − | 0.294023i | −0.180647 | − | 0.983548i | \(-0.557819\pi\) |
−0.724261 | + | 0.689525i | \(0.757819\pi\) | |||||||
\(884\) | 0.0541822 | + | 0.166756i | 0.00182234 | + | 0.00560860i | ||||
\(885\) | 11.2721 | + | 3.51433i | 0.378906 | + | 0.118133i | ||||
\(886\) | 12.7176 | + | 17.5043i | 0.427257 | + | 0.588068i | ||||
\(887\) | −3.39804 | + | 1.10409i | −0.114095 | + | 0.0370717i | −0.365508 | − | 0.930808i | \(-0.619105\pi\) |
0.251413 | + | 0.967880i | \(0.419105\pi\) | |||||||
\(888\) | 4.61671 | + | 1.50006i | 0.154927 | + | 0.0503388i | ||||
\(889\) | −27.2953 | − | 16.1292i | −0.915455 | − | 0.540955i | ||||
\(890\) | 13.3068 | + | 17.8629i | 0.446044 | + | 0.598765i | ||||
\(891\) | −8.23964 | − | 18.7990i | −0.276038 | − | 0.629789i | ||||
\(892\) | 15.3240 | 0.513084 | ||||||||
\(893\) | 12.7368 | + | 9.25380i | 0.426219 | + | 0.309666i | ||||
\(894\) | 13.8986 | + | 4.51592i | 0.464838 | + | 0.151035i | ||||
\(895\) | 20.3280 | + | 14.4016i | 0.679490 | + | 0.481392i | ||||
\(896\) | 1.98398 | − | 1.75038i | 0.0662801 | − | 0.0584761i | ||||
\(897\) | 1.86033 | − | 1.35161i | 0.0621146 | − | 0.0451289i | ||||
\(898\) | −10.7707 | − | 33.1488i | −0.359423 | − | 1.10619i | ||||
\(899\) | 0.313129 | − | 0.963711i | 0.0104434 | − | 0.0321415i | ||||
\(900\) | 2.97932 | − | 2.27521i | 0.0993107 | − | 0.0758403i | ||||
\(901\) | −5.41242 | −0.180314 | ||||||||
\(902\) | −10.0791 | + | 8.97003i | −0.335597 | + | 0.298669i | ||||
\(903\) | −3.11139 | + | 0.295241i | −0.103541 | + | 0.00982501i | ||||
\(904\) | 4.91866 | − | 6.76996i | 0.163592 | − | 0.225166i | ||||
\(905\) | −36.1215 | + | 12.2151i | −1.20072 | + | 0.406045i | ||||
\(906\) | −8.05217 | + | 2.61631i | −0.267515 | + | 0.0869210i | ||||
\(907\) | 29.8232 | + | 41.0481i | 0.990263 | + | 1.36298i | 0.931113 | + | 0.364732i | \(0.118839\pi\) |
0.0591508 | + | 0.998249i | \(0.481161\pi\) | |||||||
\(908\) | −13.5409 | − | 18.6374i | −0.449370 | − | 0.618505i | ||||
\(909\) | 3.78736 | + | 11.6563i | 0.125619 | + | 0.386615i | ||||
\(910\) | −1.75865 | + | 0.786848i | −0.0582988 | + | 0.0260838i | ||||
\(911\) | −6.36351 | − | 4.62336i | −0.210832 | − | 0.153179i | 0.477358 | − | 0.878709i | \(-0.341595\pi\) |
−0.688190 | + | 0.725530i | \(0.741595\pi\) | |||||||
\(912\) | −3.68041 | −0.121871 | ||||||||
\(913\) | −24.6375 | − | 27.6836i | −0.815381 | − | 0.916195i | ||||
\(914\) | −38.4515 | −1.27186 | ||||||||
\(915\) | 10.8024 | − | 0.128945i | 0.357115 | − | 0.00426279i | ||||
\(916\) | −14.8794 | − | 4.83462i | −0.491630 | − | 0.159740i | ||||
\(917\) | −10.7226 | − | 24.7541i | −0.354092 | − | 0.817453i | ||||
\(918\) | −1.78009 | − | 2.45008i | −0.0587516 | − | 0.0808646i | ||||
\(919\) | −5.87938 | − | 8.09228i | −0.193943 | − | 0.266940i | 0.700960 | − | 0.713201i | \(-0.252755\pi\) |
−0.894903 | + | 0.446261i | \(0.852755\pi\) | |||||||
\(920\) | 6.08451 | − | 8.58834i | 0.200600 | − | 0.283149i | ||||
\(921\) | −36.7470 | − | 11.9398i | −1.21085 | − | 0.393430i | ||||
\(922\) | 17.5177 | + | 12.7274i | 0.576916 | + | 0.419154i | ||||
\(923\) | − | 1.83404i | − | 0.0603683i | ||||||
\(924\) | 6.39943 | + | 11.5029i | 0.210526 | + | 0.378418i | ||||
\(925\) | −15.5031 | − | 4.63118i | −0.509740 | − | 0.152272i | ||||
\(926\) | 6.69231 | − | 9.21118i | 0.219923 | − | 0.302698i | ||||
\(927\) | −2.89518 | + | 8.91044i | −0.0950901 | + | 0.292657i | ||||
\(928\) | 2.28218 | − | 0.741525i | 0.0749162 | − | 0.0243417i | ||||
\(929\) | −14.4883 | − | 19.9414i | −0.475345 | − | 0.654256i | 0.502257 | − | 0.864718i | \(-0.332503\pi\) |
−0.977602 | + | 0.210462i | \(0.932503\pi\) | |||||||
\(930\) | 1.35224 | + | 0.421593i | 0.0443418 | + | 0.0138246i | ||||
\(931\) | −8.28459 | − | 15.0440i | −0.271516 | − | 0.493047i | ||||
\(932\) | −0.260547 | + | 0.801883i | −0.00853452 | + | 0.0262665i | ||||
\(933\) | 22.8341 | − | 31.4284i | 0.747554 | − | 1.02892i | ||||
\(934\) | 10.2512 | 0.335430 | ||||||||
\(935\) | −3.63763 | + | 1.64642i | −0.118963 | + | 0.0538437i | ||||
\(936\) | − | 0.244165i | − | 0.00798077i | ||||||
\(937\) | 5.55066 | − | 7.63983i | 0.181332 | − | 0.249582i | −0.708668 | − | 0.705542i | \(-0.750704\pi\) |
0.890001 | + | 0.455959i | \(0.150704\pi\) | |||||||
\(938\) | −8.01024 | − | 1.78748i | −0.261544 | − | 0.0583633i | ||||
\(939\) | −0.433608 | − | 1.33451i | −0.0141503 | − | 0.0435500i | ||||
\(940\) | 4.27073 | − | 13.6982i | 0.139296 | − | 0.446785i | ||||
\(941\) | 29.7671 | − | 21.6271i | 0.970380 | − | 0.705022i | 0.0148418 | − | 0.999890i | \(-0.495276\pi\) |
0.955538 | + | 0.294868i | \(0.0952755\pi\) | |||||||
\(942\) | 8.89266 | + | 27.3688i | 0.289738 | + | 0.891723i | ||||
\(943\) | 18.2118 | + | 5.91736i | 0.593056 | + | 0.192696i | ||||
\(944\) | 2.06902 | − | 2.84776i | 0.0673408 | − | 0.0926867i | ||||
\(945\) | 24.6894 | − | 22.3121i | 0.803147 | − | 0.725813i | ||||
\(946\) | −2.25424 | − | 1.31896i | −0.0732917 | − | 0.0428832i | ||||
\(947\) | − | 36.4830i | − | 1.18554i | −0.805372 | − | 0.592770i | \(-0.798034\pi\) | ||
0.805372 | − | 0.592770i | \(-0.201966\pi\) | |||||||
\(948\) | 0.204403 | − | 0.281336i | 0.00663869 | − | 0.00913737i | ||||
\(949\) | 1.42725 | − | 4.39261i | 0.0463304 | − | 0.142590i | ||||
\(950\) | 12.2638 | − | 0.292823i | 0.397892 | − | 0.00950042i | ||||
\(951\) | 17.5688 | + | 24.1814i | 0.569708 | + | 0.784136i | ||||
\(952\) | 0.942404 | + | 1.06817i | 0.0305435 | + | 0.0346197i | ||||
\(953\) | 0.742332 | + | 2.28466i | 0.0240465 | + | 0.0740075i | 0.962360 | − | 0.271779i | \(-0.0876121\pi\) |
−0.938313 | + | 0.345787i | \(0.887612\pi\) | |||||||
\(954\) | 7.16815 | + | 2.32907i | 0.232077 | + | 0.0754065i | ||||
\(955\) | −40.2089 | + | 0.479963i | −1.30113 | + | 0.0155312i | ||||
\(956\) | 8.32784i | 0.269342i | ||||||||
\(957\) | 1.17910 | + | 11.8803i | 0.0381149 | + | 0.384035i | ||||
\(958\) | 29.4938 | 0.952900 | ||||||||
\(959\) | 12.1990 | − | 20.6442i | 0.393925 | − | 0.666637i | ||||
\(960\) | 1.07454 | + | 3.17752i | 0.0346805 | + | 0.102554i | ||||
\(961\) | 9.52442 | + | 29.3132i | 0.307239 | + | 0.945586i | ||||
\(962\) | −0.852585 | + | 0.619439i | −0.0274884 | + | 0.0199715i | ||||
\(963\) | −1.96398 | + | 1.42691i | −0.0632883 | + | 0.0459816i | ||||
\(964\) | 4.39569 | + | 13.5286i | 0.141576 | + | 0.435725i | ||||
\(965\) | −8.82417 | − | 26.0941i | −0.284060 | − | 0.839997i | ||||
\(966\) | 9.50389 | − | 16.0834i | 0.305783 | − | 0.517474i | ||||
\(967\) | −5.56857 | −0.179073 | −0.0895366 | − | 0.995984i | \(-0.528539\pi\) | ||||
−0.0895366 | + | 0.995984i | \(0.528539\pi\) | |||||||
\(968\) | −1.27653 | + | 10.9257i | −0.0410293 | + | 0.351165i | ||||
\(969\) | − | 1.98153i | − | 0.0636560i | ||||||
\(970\) | −27.2671 | + | 0.325481i | −0.875495 | + | 0.0104506i | ||||
\(971\) | 55.5827 | + | 18.0599i | 1.78373 | + | 0.579570i | 0.999180 | − | 0.0404922i | \(-0.0128926\pi\) |
0.784553 | + | 0.620062i | \(0.212893\pi\) | |||||||
\(972\) | 2.34584 | + | 7.21976i | 0.0752430 | + | 0.231574i | ||||
\(973\) | 42.1336 | − | 37.1727i | 1.35074 | − | 1.19170i | ||||
\(974\) | 10.9009 | + | 15.0038i | 0.349288 | + | 0.480753i | ||||
\(975\) | −0.0583054 | − | 2.44192i | −0.00186727 | − | 0.0782040i | ||||
\(976\) | 0.995247 | − | 3.06306i | 0.0318571 | − | 0.0980460i | ||||
\(977\) | 1.27013 | − | 1.74818i | 0.0406351 | − | 0.0559294i | −0.788216 | − | 0.615399i | \(-0.788995\pi\) |
0.828851 | + | 0.559469i | \(0.188995\pi\) | |||||||
\(978\) | − | 16.1193i | − | 0.515439i | ||||||
\(979\) | 3.26298 | + | 32.8769i | 0.104285 | + | 1.05075i | ||||
\(980\) | −10.5696 | + | 11.5448i | −0.337634 | + | 0.368786i | ||||
\(981\) | −7.98991 | + | 10.9972i | −0.255098 | + | 0.351112i | ||||
\(982\) | −0.239562 | − | 0.0778386i | −0.00764474 | − | 0.00248393i | ||||
\(983\) | −12.6820 | − | 39.0311i | −0.404492 | − | 1.24490i | −0.921318 | − | 0.388809i | \(-0.872887\pi\) |
0.516826 | − | 0.856090i | \(-0.327113\pi\) | |||||||
\(984\) | −4.93710 | + | 3.58701i | −0.157389 | + | 0.114350i | ||||
\(985\) | 0.137373 | − | 0.440617i | 0.00437707 | − | 0.0140392i | ||||
\(986\) | 0.399237 | + | 1.22872i | 0.0127143 | + | 0.0391306i | ||||
\(987\) | 5.54662 | − | 24.8561i | 0.176551 | − | 0.791179i | ||||
\(988\) | 0.469644 | − | 0.646409i | 0.0149414 | − | 0.0205650i | ||||
\(989\) | 3.70667i | 0.117865i | ||||||||
\(990\) | 5.52612 | − | 0.615152i | 0.175632 | − | 0.0195508i | ||||
\(991\) | −38.7228 | −1.23007 | −0.615035 | − | 0.788499i | \(-0.710858\pi\) | ||||
−0.615035 | + | 0.788499i | \(0.710858\pi\) | |||||||
\(992\) | 0.248208 | − | 0.341629i | 0.00788061 | − | 0.0108467i | ||||
\(993\) | −6.69461 | + | 20.6039i | −0.212447 | + | 0.653845i | ||||
\(994\) | −5.92246 | − | 13.6725i | −0.187849 | − | 0.433666i | ||||
\(995\) | −47.5884 | − | 14.8368i | −1.50865 | − | 0.470359i | ||||
\(996\) | −9.85224 | − | 13.5604i | −0.312180 | − | 0.429679i | ||||
\(997\) | 24.4555 | − | 7.94609i | 0.774515 | − | 0.251655i | 0.105018 | − | 0.994470i | \(-0.466510\pi\) |
0.669496 | + | 0.742815i | \(0.266510\pi\) | |||||||
\(998\) | 6.64170 | − | 20.4410i | 0.210239 | − | 0.647050i | ||||
\(999\) | 10.6991 | − | 14.7260i | 0.338504 | − | 0.465911i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 770.2.w.b.139.18 | yes | 96 | |
5.4 | even | 2 | 770.2.w.a.139.7 | ✓ | 96 | ||
7.6 | odd | 2 | inner | 770.2.w.b.139.7 | yes | 96 | |
11.8 | odd | 10 | 770.2.w.a.349.18 | yes | 96 | ||
35.34 | odd | 2 | 770.2.w.a.139.18 | yes | 96 | ||
55.19 | odd | 10 | inner | 770.2.w.b.349.7 | yes | 96 | |
77.41 | even | 10 | 770.2.w.a.349.7 | yes | 96 | ||
385.349 | even | 10 | inner | 770.2.w.b.349.18 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.w.a.139.7 | ✓ | 96 | 5.4 | even | 2 | ||
770.2.w.a.139.18 | yes | 96 | 35.34 | odd | 2 | ||
770.2.w.a.349.7 | yes | 96 | 77.41 | even | 10 | ||
770.2.w.a.349.18 | yes | 96 | 11.8 | odd | 10 | ||
770.2.w.b.139.7 | yes | 96 | 7.6 | odd | 2 | inner | |
770.2.w.b.139.18 | yes | 96 | 1.1 | even | 1 | trivial | |
770.2.w.b.349.7 | yes | 96 | 55.19 | odd | 10 | inner | |
770.2.w.b.349.18 | yes | 96 | 385.349 | even | 10 | inner |