Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(22,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(112))
chi = DirichletCharacter(H, H._module([35, 40]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.bj (of order \(112\), degree \(48\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(3072\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{112})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{112}]$ |
Embedding invariants
Embedding label | 22.18 | ||
Character | \(\chi\) | \(=\) | 731.22 |
Dual form | 731.2.bj.a.432.18 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{5}{16}\right)\) | \(e\left(\frac{5}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.44014 | − | 0.0808763i | −1.01833 | − | 0.0571882i | −0.460934 | − | 0.887435i | \(-0.652485\pi\) |
−0.557397 | + | 0.830246i | \(0.688200\pi\) | |||||||
\(3\) | 0.635718 | − | 1.07770i | 0.367032 | − | 0.622210i | −0.619648 | − | 0.784880i | \(-0.712725\pi\) |
0.986681 | + | 0.162670i | \(0.0520105\pi\) | |||||||
\(4\) | 0.0800273 | + | 0.00901691i | 0.0400136 | + | 0.00450845i | ||||
\(5\) | −0.0181415 | − | 0.646587i | −0.00811312 | − | 0.289162i | −0.993152 | − | 0.116830i | \(-0.962727\pi\) |
0.985039 | − | 0.172333i | \(-0.0551304\pi\) | |||||||
\(6\) | −1.00268 | + | 1.50062i | −0.409343 | + | 0.612625i | ||||
\(7\) | 0.663159 | − | 0.131911i | 0.250651 | − | 0.0498575i | −0.0681658 | − | 0.997674i | \(-0.521715\pi\) |
0.318816 | + | 0.947817i | \(0.396715\pi\) | |||||||
\(8\) | 2.72953 | + | 0.463766i | 0.965035 | + | 0.163966i | ||||
\(9\) | 0.693859 | + | 1.25544i | 0.231286 | + | 0.418481i | ||||
\(10\) | −0.0261674 | + | 0.932641i | −0.00827485 | + | 0.294927i | ||||
\(11\) | −5.08446 | + | 1.62056i | −1.53302 | + | 0.488618i | −0.946879 | − | 0.321591i | \(-0.895783\pi\) |
−0.586142 | + | 0.810208i | \(0.699354\pi\) | |||||||
\(12\) | 0.0605923 | − | 0.0805131i | 0.0174915 | − | 0.0232421i | ||||
\(13\) | −0.991095 | + | 1.57732i | −0.274880 | + | 0.437469i | −0.955424 | − | 0.295238i | \(-0.904601\pi\) |
0.680543 | + | 0.732708i | \(0.261744\pi\) | |||||||
\(14\) | −0.965708 | + | 0.136335i | −0.258096 | + | 0.0364371i | ||||
\(15\) | −0.708359 | − | 0.391496i | −0.182898 | − | 0.101084i | ||||
\(16\) | −4.05042 | − | 0.924481i | −1.01260 | − | 0.231120i | ||||
\(17\) | −3.76097 | − | 1.68971i | −0.912168 | − | 0.409816i | ||||
\(18\) | −0.897716 | − | 1.86413i | −0.211594 | − | 0.439379i | ||||
\(19\) | −3.89248 | − | 2.15130i | −0.892995 | − | 0.493541i | −0.0304589 | − | 0.999536i | \(-0.509697\pi\) |
−0.862536 | + | 0.505995i | \(0.831125\pi\) | |||||||
\(20\) | 0.00437840 | − | 0.0519082i | 0.000979041 | − | 0.0116070i | ||||
\(21\) | 0.279423 | − | 0.798544i | 0.0609750 | − | 0.174257i | ||||
\(22\) | 7.45337 | − | 1.92262i | 1.58906 | − | 0.409903i | ||||
\(23\) | −1.40553 | − | 4.40982i | −0.293074 | − | 0.919510i | −0.981046 | − | 0.193773i | \(-0.937927\pi\) |
0.687972 | − | 0.725737i | \(-0.258501\pi\) | |||||||
\(24\) | 2.23501 | − | 2.64679i | 0.456220 | − | 0.540273i | ||||
\(25\) | 4.57439 | − | 0.256892i | 0.914878 | − | 0.0513784i | ||||
\(26\) | 1.55488 | − | 2.19140i | 0.304937 | − | 0.429768i | ||||
\(27\) | 5.54630 | + | 0.155614i | 1.06739 | + | 0.0299480i | ||||
\(28\) | 0.0542603 | − | 0.00457680i | 0.0102542 | − | 0.000864934i | ||||
\(29\) | −5.84508 | + | 7.76675i | −1.08540 | + | 1.44225i | −0.198612 | + | 0.980078i | \(0.563643\pi\) |
−0.886791 | + | 0.462170i | \(0.847071\pi\) | |||||||
\(30\) | 0.988471 | + | 0.621097i | 0.180469 | + | 0.113396i | ||||
\(31\) | −1.69934 | + | 0.239906i | −0.305210 | + | 0.0430885i | −0.290725 | − | 0.956807i | \(-0.593897\pi\) |
−0.0144848 | + | 0.999895i | \(0.504611\pi\) | |||||||
\(32\) | 0.437500 | + | 0.126042i | 0.0773398 | + | 0.0222812i | ||||
\(33\) | −1.48580 | + | 6.50973i | −0.258645 | + | 1.13320i | ||||
\(34\) | 5.27965 | + | 2.73759i | 0.905452 | + | 0.469493i | ||||
\(35\) | −0.0973223 | − | 0.426397i | −0.0164505 | − | 0.0720743i | ||||
\(36\) | 0.0442074 | + | 0.106726i | 0.00736791 | + | 0.0177877i | ||||
\(37\) | −3.88307 | + | 2.59458i | −0.638372 | + | 0.426547i | −0.832190 | − | 0.554491i | \(-0.812913\pi\) |
0.193817 | + | 0.981038i | \(0.437913\pi\) | |||||||
\(38\) | 5.43171 | + | 3.41297i | 0.881139 | + | 0.553657i | ||||
\(39\) | 1.06982 | + | 2.07083i | 0.171308 | + | 0.331599i | ||||
\(40\) | 0.250347 | − | 1.77329i | 0.0395834 | − | 0.280382i | ||||
\(41\) | −0.159039 | + | 0.616542i | −0.0248377 | + | 0.0962877i | −0.979525 | − | 0.201324i | \(-0.935476\pi\) |
0.954687 | + | 0.297611i | \(0.0961900\pi\) | |||||||
\(42\) | −0.466990 | + | 1.12741i | −0.0720581 | + | 0.173964i | ||||
\(43\) | −5.13230 | + | 4.08161i | −0.782668 | + | 0.622440i | ||||
\(44\) | −0.421508 | + | 0.0838431i | −0.0635447 | + | 0.0126398i | ||||
\(45\) | 0.799166 | − | 0.471416i | 0.119133 | − | 0.0702745i | ||||
\(46\) | 1.66751 | + | 6.46441i | 0.245861 | + | 0.953125i | ||||
\(47\) | 0.341045 | − | 3.02685i | 0.0497465 | − | 0.441512i | −0.944008 | − | 0.329923i | \(-0.892977\pi\) |
0.993754 | − | 0.111589i | \(-0.0355941\pi\) | |||||||
\(48\) | −3.57124 | + | 3.77742i | −0.515464 | + | 0.545224i | ||||
\(49\) | −6.04478 | + | 2.50383i | −0.863540 | + | 0.357690i | ||||
\(50\) | −6.60852 | −0.934586 | ||||||||
\(51\) | −4.21192 | + | 2.97901i | −0.589786 | + | 0.417145i | ||||
\(52\) | −0.0935372 | + | 0.117292i | −0.0129713 | + | 0.0162655i | ||||
\(53\) | 1.28666 | − | 0.218612i | 0.176736 | − | 0.0300286i | −0.0784641 | − | 0.996917i | \(-0.525002\pi\) |
0.255200 | + | 0.966888i | \(0.417859\pi\) | |||||||
\(54\) | −7.97484 | − | 0.672670i | −1.08524 | − | 0.0915388i | ||||
\(55\) | 1.14007 | + | 3.25814i | 0.153727 | + | 0.439328i | ||||
\(56\) | 1.87129 | − | 0.0525033i | 0.250062 | − | 0.00701605i | ||||
\(57\) | −4.79297 | + | 2.82730i | −0.634844 | + | 0.374485i | ||||
\(58\) | 9.04585 | − | 10.7124i | 1.18778 | − | 1.40661i | ||||
\(59\) | −6.75464 | + | 9.51978i | −0.879380 | + | 1.23937i | 0.0905273 | + | 0.995894i | \(0.471145\pi\) |
−0.969907 | + | 0.243476i | \(0.921712\pi\) | |||||||
\(60\) | −0.0531580 | − | 0.0377176i | −0.00686266 | − | 0.00486932i | ||||
\(61\) | 0.277339 | + | 0.368518i | 0.0355096 | + | 0.0471839i | 0.816417 | − | 0.577463i | \(-0.195957\pi\) |
−0.780907 | + | 0.624647i | \(0.785243\pi\) | |||||||
\(62\) | 2.46668 | − | 0.208062i | 0.313269 | − | 0.0264239i | ||||
\(63\) | 0.625745 | + | 0.741032i | 0.0788365 | + | 0.0933612i | ||||
\(64\) | 7.22302 | + | 2.52744i | 0.902877 | + | 0.315930i | ||||
\(65\) | 1.03785 | + | 0.612214i | 0.128730 | + | 0.0759358i | ||||
\(66\) | 2.66624 | − | 9.25474i | 0.328192 | − | 1.13918i | ||||
\(67\) | 9.26854 | − | 7.39142i | 1.13233 | − | 0.903005i | 0.136184 | − | 0.990684i | \(-0.456516\pi\) |
0.996149 | + | 0.0876785i | \(0.0279448\pi\) | |||||||
\(68\) | −0.285744 | − | 0.169135i | −0.0346515 | − | 0.0205107i | ||||
\(69\) | −5.64598 | − | 1.28866i | −0.679696 | − | 0.155136i | ||||
\(70\) | 0.105672 | + | 0.621941i | 0.0126302 | + | 0.0743362i | ||||
\(71\) | 1.93589 | + | 0.617025i | 0.229748 | + | 0.0732274i | 0.416336 | − | 0.909211i | \(-0.363314\pi\) |
−0.186587 | + | 0.982438i | \(0.559743\pi\) | |||||||
\(72\) | 1.31168 | + | 3.74856i | 0.154583 | + | 0.441772i | ||||
\(73\) | 0.162638 | + | 5.79666i | 0.0190354 | + | 0.678447i | 0.949805 | + | 0.312842i | \(0.101281\pi\) |
−0.930770 | + | 0.365606i | \(0.880862\pi\) | |||||||
\(74\) | 5.80199 | − | 3.42251i | 0.674467 | − | 0.397858i | ||||
\(75\) | 2.63117 | − | 5.09313i | 0.303821 | − | 0.588103i | ||||
\(76\) | −0.292106 | − | 0.207260i | −0.0335069 | − | 0.0237744i | ||||
\(77\) | −3.15803 | + | 1.74538i | −0.359891 | + | 0.198905i | ||||
\(78\) | −1.37320 | − | 3.06880i | −0.155484 | − | 0.347474i | ||||
\(79\) | −1.49211 | − | 0.996999i | −0.167876 | − | 0.112171i | 0.468794 | − | 0.883308i | \(-0.344689\pi\) |
−0.636670 | + | 0.771136i | \(0.719689\pi\) | |||||||
\(80\) | −0.524277 | + | 2.63572i | −0.0586160 | + | 0.294682i | ||||
\(81\) | 1.40411 | − | 2.23462i | 0.156012 | − | 0.248292i | ||||
\(82\) | 0.278901 | − | 0.875042i | 0.0307995 | − | 0.0966323i | ||||
\(83\) | −5.64379 | + | 6.31540i | −0.619486 | + | 0.693205i | −0.969932 | − | 0.243378i | \(-0.921744\pi\) |
0.350446 | + | 0.936583i | \(0.386030\pi\) | |||||||
\(84\) | 0.0295618 | − | 0.0613858i | 0.00322546 | − | 0.00669774i | ||||
\(85\) | −1.02432 | + | 2.46245i | −0.111103 | + | 0.267090i | ||||
\(86\) | 7.72131 | − | 5.46299i | 0.832610 | − | 0.589090i | ||||
\(87\) | 4.65439 | + | 11.2367i | 0.499003 | + | 1.20470i | ||||
\(88\) | −14.6297 | + | 2.06538i | −1.55954 | + | 0.220170i | ||||
\(89\) | −14.2768 | − | 4.99566i | −1.51334 | − | 0.529539i | −0.559231 | − | 0.829012i | \(-0.688903\pi\) |
−0.954105 | + | 0.299473i | \(0.903189\pi\) | |||||||
\(90\) | −1.18903 | + | 0.614270i | −0.125335 | + | 0.0647497i | ||||
\(91\) | −0.449189 | + | 1.17675i | −0.0470878 | + | 0.123357i | ||||
\(92\) | −0.0727182 | − | 0.365579i | −0.00758140 | − | 0.0381143i | ||||
\(93\) | −0.821753 | + | 1.98389i | −0.0852118 | + | 0.205719i | ||||
\(94\) | −0.735951 | + | 4.33150i | −0.0759076 | + | 0.446760i | ||||
\(95\) | −1.32038 | + | 2.55585i | −0.135469 | + | 0.262225i | ||||
\(96\) | 0.413961 | − | 0.391366i | 0.0422498 | − | 0.0399436i | ||||
\(97\) | 5.63575 | − | 4.75897i | 0.572224 | − | 0.483200i | −0.312116 | − | 0.950044i | \(-0.601038\pi\) |
0.884340 | + | 0.466844i | \(0.154609\pi\) | |||||||
\(98\) | 8.90780 | − | 3.11698i | 0.899824 | − | 0.314862i | ||||
\(99\) | −5.56242 | − | 5.25881i | −0.559044 | − | 0.528530i | ||||
\(100\) | 0.368392 | + | 0.0206885i | 0.0368392 | + | 0.00206885i | ||||
\(101\) | −6.25517 | + | 4.98833i | −0.622413 | + | 0.496358i | −0.883174 | − | 0.469046i | \(-0.844598\pi\) |
0.260761 | + | 0.965403i | \(0.416027\pi\) | |||||||
\(102\) | 6.30667 | − | 3.94953i | 0.624453 | − | 0.391062i | ||||
\(103\) | 0.750470 | − | 3.28802i | 0.0739460 | − | 0.323979i | −0.924403 | − | 0.381417i | \(-0.875436\pi\) |
0.998349 | + | 0.0574385i | \(0.0182933\pi\) | |||||||
\(104\) | −3.43673 | + | 3.84570i | −0.336999 | + | 0.377102i | ||||
\(105\) | −0.521397 | − | 0.166184i | −0.0508832 | − | 0.0162179i | ||||
\(106\) | −1.87064 | + | 0.210771i | −0.181693 | + | 0.0204718i | ||||
\(107\) | −2.25022 | − | 8.72338i | −0.217537 | − | 0.843321i | −0.980442 | − | 0.196810i | \(-0.936942\pi\) |
0.762905 | − | 0.646511i | \(-0.223773\pi\) | |||||||
\(108\) | 0.442452 | + | 0.0624639i | 0.0425750 | + | 0.00601059i | ||||
\(109\) | 5.35385 | + | 2.76587i | 0.512806 | + | 0.264922i | 0.695856 | − | 0.718182i | \(-0.255025\pi\) |
−0.183049 | + | 0.983104i | \(0.558597\pi\) | |||||||
\(110\) | −1.37835 | − | 4.78438i | −0.131421 | − | 0.456172i | ||||
\(111\) | 0.327642 | + | 5.83420i | 0.0310984 | + | 0.553758i | ||||
\(112\) | −2.80802 | − | 0.0787855i | −0.265333 | − | 0.00744453i | ||||
\(113\) | 4.39699 | + | 4.65085i | 0.413634 | + | 0.437515i | 0.899768 | − | 0.436369i | \(-0.143736\pi\) |
−0.486133 | + | 0.873885i | \(0.661593\pi\) | |||||||
\(114\) | 7.13119 | − | 3.68406i | 0.667897 | − | 0.345044i | ||||
\(115\) | −2.82583 | + | 0.988801i | −0.263510 | + | 0.0922062i | ||||
\(116\) | −0.537798 | + | 0.568847i | −0.0499333 | + | 0.0528161i | ||||
\(117\) | −2.66791 | − | 0.149827i | −0.246649 | − | 0.0138515i | ||||
\(118\) | 10.4975 | − | 13.1635i | 0.966376 | − | 1.21180i | ||||
\(119\) | −2.71701 | − | 0.624437i | −0.249068 | − | 0.0572421i | ||||
\(120\) | −1.75193 | − | 1.39711i | −0.159928 | − | 0.127538i | ||||
\(121\) | 14.2543 | − | 10.1140i | 1.29584 | − | 0.919451i | ||||
\(122\) | −0.369601 | − | 0.553147i | −0.0334621 | − | 0.0500796i | ||||
\(123\) | 0.563343 | + | 0.563343i | 0.0507949 | + | 0.0507949i | ||||
\(124\) | −0.138157 | + | 0.00387630i | −0.0124068 | + | 0.000348102i | ||||
\(125\) | −0.520926 | − | 6.17584i | −0.0465930 | − | 0.552384i | ||||
\(126\) | −0.841227 | − | 1.11779i | −0.0749424 | − | 0.0995811i | ||||
\(127\) | 10.7706 | + | 12.0523i | 0.955733 | + | 1.06947i | 0.997523 | + | 0.0703397i | \(0.0224083\pi\) |
−0.0417898 | + | 0.999126i | \(0.513306\pi\) | |||||||
\(128\) | −11.0390 | − | 4.57250i | −0.975718 | − | 0.404156i | ||||
\(129\) | 1.13605 | + | 8.12583i | 0.100024 | + | 0.715439i | ||||
\(130\) | −1.44514 | − | 0.965609i | −0.126747 | − | 0.0846895i | ||||
\(131\) | 0.625256 | − | 0.830820i | 0.0546289 | − | 0.0725891i | −0.770871 | − | 0.636991i | \(-0.780179\pi\) |
0.825500 | + | 0.564402i | \(0.190893\pi\) | |||||||
\(132\) | −0.177603 | + | 0.507559i | −0.0154583 | + | 0.0441773i | ||||
\(133\) | −2.86511 | − | 0.913193i | −0.248437 | − | 0.0791839i | ||||
\(134\) | −13.9458 | + | 9.89504i | −1.20473 | + | 0.854801i | ||||
\(135\) | − | 3.58899i | − | 0.308891i | ||||||
\(136\) | −9.48204 | − | 6.35633i | −0.813078 | − | 0.545051i | ||||
\(137\) | −7.50030 | + | 1.71189i | −0.640794 | + | 0.146257i | −0.530558 | − | 0.847649i | \(-0.678018\pi\) |
−0.110235 | + | 0.993906i | \(0.535160\pi\) | |||||||
\(138\) | 8.02676 | + | 2.31247i | 0.683283 | + | 0.196850i | ||||
\(139\) | 6.64568 | − | 2.53679i | 0.563679 | − | 0.215168i | −0.0581673 | − | 0.998307i | \(-0.518526\pi\) |
0.621846 | + | 0.783139i | \(0.286383\pi\) | |||||||
\(140\) | −0.00394366 | − | 0.0350009i | −0.000333300 | − | 0.00295812i | ||||
\(141\) | −3.04523 | − | 2.29177i | −0.256455 | − | 0.193002i | ||||
\(142\) | −2.73805 | − | 1.04517i | −0.229772 | − | 0.0877086i | ||||
\(143\) | 2.48304 | − | 9.62593i | 0.207642 | − | 0.804961i | ||||
\(144\) | −1.64979 | − | 5.72653i | −0.137482 | − | 0.477211i | ||||
\(145\) | 5.12792 | + | 3.63845i | 0.425850 | + | 0.302157i | ||||
\(146\) | 0.234591 | − | 8.36113i | 0.0194149 | − | 0.691972i | ||||
\(147\) | −1.14440 | + | 8.10618i | −0.0943887 | + | 0.668587i | ||||
\(148\) | −0.334147 | + | 0.172624i | −0.0274667 | + | 0.0141896i | ||||
\(149\) | −0.530296 | − | 4.70650i | −0.0434435 | − | 0.385572i | −0.996554 | − | 0.0829487i | \(-0.973566\pi\) |
0.953110 | − | 0.302623i | \(-0.0978623\pi\) | |||||||
\(150\) | −4.20116 | + | 7.12200i | −0.343023 | + | 0.581509i | ||||
\(151\) | 8.56709 | + | 7.65602i | 0.697180 | + | 0.623038i | 0.937635 | − | 0.347622i | \(-0.113011\pi\) |
−0.240455 | + | 0.970660i | \(0.577297\pi\) | |||||||
\(152\) | −9.62694 | − | 7.67723i | −0.780848 | − | 0.622705i | ||||
\(153\) | −0.488242 | − | 5.89411i | −0.0394721 | − | 0.476510i | ||||
\(154\) | 4.68916 | − | 2.25818i | 0.377863 | − | 0.181969i | ||||
\(155\) | 0.185949 | + | 1.09442i | 0.0149358 | + | 0.0879057i | ||||
\(156\) | 0.0669421 | + | 0.175370i | 0.00535965 | + | 0.0140408i | ||||
\(157\) | −1.80365 | + | 16.0079i | −0.143947 | + | 1.27757i | 0.689222 | + | 0.724550i | \(0.257952\pi\) |
−0.833170 | + | 0.553017i | \(0.813476\pi\) | |||||||
\(158\) | 2.06821 | + | 1.55649i | 0.164538 | + | 0.123828i | ||||
\(159\) | 0.582353 | − | 1.52560i | 0.0461836 | − | 0.120988i | ||||
\(160\) | 0.0735599 | − | 0.285168i | 0.00581542 | − | 0.0225445i | ||||
\(161\) | −1.51379 | − | 2.73900i | −0.119304 | − | 0.215864i | ||||
\(162\) | −2.20283 | + | 3.10460i | −0.173071 | + | 0.243921i | ||||
\(163\) | 1.82983 | + | 0.945314i | 0.143324 | + | 0.0740427i | 0.529148 | − | 0.848529i | \(-0.322512\pi\) |
−0.385825 | + | 0.922572i | \(0.626083\pi\) | |||||||
\(164\) | −0.0182867 | + | 0.0479062i | −0.00142795 | + | 0.00374084i | ||||
\(165\) | 4.23606 | + | 0.842605i | 0.329777 | + | 0.0655967i | ||||
\(166\) | 8.63859 | − | 8.63859i | 0.670484 | − | 0.670484i | ||||
\(167\) | −12.4799 | − | 11.7987i | −0.965724 | − | 0.913012i | 0.0305259 | − | 0.999534i | \(-0.490282\pi\) |
−0.996250 | + | 0.0865222i | \(0.972425\pi\) | |||||||
\(168\) | 1.13303 | − | 2.05006i | 0.0874152 | − | 0.158166i | ||||
\(169\) | 4.13482 | + | 8.58605i | 0.318063 | + | 0.660466i | ||||
\(170\) | 1.67431 | − | 3.46342i | 0.128414 | − | 0.265632i | ||||
\(171\) | − | 6.37948i | − | 0.487851i | ||||||
\(172\) | −0.447527 | + | 0.280363i | −0.0341236 | + | 0.0213775i | ||||
\(173\) | −3.15325 | − | 4.71918i | −0.239737 | − | 0.358792i | 0.692017 | − | 0.721881i | \(-0.256722\pi\) |
−0.931755 | + | 0.363089i | \(0.881722\pi\) | |||||||
\(174\) | −5.79418 | − | 16.5588i | −0.439255 | − | 1.25532i | ||||
\(175\) | 2.99966 | − | 0.773771i | 0.226753 | − | 0.0584916i | ||||
\(176\) | 22.0923 | − | 1.86347i | 1.66527 | − | 0.140464i | ||||
\(177\) | 5.96541 | + | 13.3314i | 0.448387 | + | 1.00205i | ||||
\(178\) | 20.1565 | + | 8.34908i | 1.51079 | + | 0.625790i | ||||
\(179\) | −5.13973 | − | 2.12895i | −0.384161 | − | 0.159125i | 0.182241 | − | 0.983254i | \(-0.441665\pi\) |
−0.566402 | + | 0.824129i | \(0.691665\pi\) | |||||||
\(180\) | 0.0682058 | − | 0.0305201i | 0.00508376 | − | 0.00227484i | ||||
\(181\) | 24.4820 | − | 7.80312i | 1.81973 | − | 0.580002i | 0.819762 | − | 0.572705i | \(-0.194106\pi\) |
0.999973 | − | 0.00729682i | \(-0.00232267\pi\) | |||||||
\(182\) | 0.742064 | − | 1.65835i | 0.0550054 | − | 0.122925i | ||||
\(183\) | 0.573461 | − | 0.0646136i | 0.0423915 | − | 0.00477637i | ||||
\(184\) | −1.79133 | − | 12.6886i | −0.132058 | − | 0.935413i | ||||
\(185\) | 1.74807 | + | 2.46367i | 0.128521 | + | 0.181133i | ||||
\(186\) | 1.34389 | − | 2.79061i | 0.0985385 | − | 0.204617i | ||||
\(187\) | 21.8608 | + | 2.49639i | 1.59862 | + | 0.182554i | ||||
\(188\) | 0.0545857 | − | 0.239156i | 0.00398107 | − | 0.0174422i | ||||
\(189\) | 3.69861 | − | 0.628419i | 0.269034 | − | 0.0457107i | ||||
\(190\) | 2.10824 | − | 3.57399i | 0.152948 | − | 0.259284i | ||||
\(191\) | 2.61424 | − | 23.2020i | 0.189160 | − | 1.67884i | −0.437245 | − | 0.899342i | \(-0.644046\pi\) |
0.626405 | − | 0.779498i | \(-0.284526\pi\) | |||||||
\(192\) | 7.31563 | − | 6.17750i | 0.527960 | − | 0.445822i | ||||
\(193\) | 3.76862 | − | 26.6944i | 0.271271 | − | 1.92150i | −0.103981 | − | 0.994579i | \(-0.533158\pi\) |
0.375252 | − | 0.926923i | \(-0.377556\pi\) | |||||||
\(194\) | −8.50114 | + | 6.39776i | −0.610346 | + | 0.459333i | ||||
\(195\) | 1.31957 | − | 0.729298i | 0.0944960 | − | 0.0522261i | ||||
\(196\) | −0.506324 | + | 0.145869i | −0.0361660 | + | 0.0104192i | ||||
\(197\) | −11.2286 | + | 8.45043i | −0.800008 | + | 0.602068i | −0.920543 | − | 0.390641i | \(-0.872253\pi\) |
0.120535 | + | 0.992709i | \(0.461539\pi\) | |||||||
\(198\) | 7.58533 | + | 8.02327i | 0.539066 | + | 0.570189i | ||||
\(199\) | −20.8918 | − | 9.34847i | −1.48098 | − | 0.662695i | −0.501668 | − | 0.865060i | \(-0.667280\pi\) |
−0.979310 | + | 0.202365i | \(0.935137\pi\) | |||||||
\(200\) | 12.6051 | + | 1.42025i | 0.891313 | + | 0.100427i | ||||
\(201\) | −2.07354 | − | 14.6876i | −0.146256 | − | 1.03598i | ||||
\(202\) | 9.41174 | − | 6.67798i | 0.662208 | − | 0.469861i | ||||
\(203\) | −2.85170 | + | 5.92162i | −0.200150 | + | 0.415616i | ||||
\(204\) | −0.363930 | + | 0.200424i | −0.0254802 | + | 0.0140325i | ||||
\(205\) | 0.401533 | + | 0.0916474i | 0.0280443 | + | 0.00640093i | ||||
\(206\) | −1.34670 | + | 4.67451i | −0.0938292 | + | 0.325688i | ||||
\(207\) | 4.56103 | − | 4.82436i | 0.317014 | − | 0.335316i | ||||
\(208\) | 5.47255 | − | 5.47255i | 0.379453 | − | 0.379453i | ||||
\(209\) | 23.2774 | + | 4.63017i | 1.61013 | + | 0.320275i | ||||
\(210\) | 0.737443 | + | 0.281497i | 0.0508884 | + | 0.0194251i | ||||
\(211\) | −19.0564 | − | 16.0917i | −1.31190 | − | 1.10780i | −0.986770 | − | 0.162127i | \(-0.948165\pi\) |
−0.325126 | − | 0.945671i | \(-0.605407\pi\) | |||||||
\(212\) | 0.104939 | − | 0.00589324i | 0.00720723 | − | 0.000404749i | ||||
\(213\) | 1.89565 | − | 1.69406i | 0.129888 | − | 0.116075i | ||||
\(214\) | 2.53511 | + | 12.7449i | 0.173296 | + | 0.871220i | ||||
\(215\) | 2.73222 | + | 3.24443i | 0.186336 | + | 0.221268i | ||||
\(216\) | 15.0666 | + | 2.99694i | 1.02515 | + | 0.203916i | ||||
\(217\) | −1.09528 | + | 0.383257i | −0.0743528 | + | 0.0260172i | ||||
\(218\) | −7.48659 | − | 4.41622i | −0.507056 | − | 0.299104i | ||||
\(219\) | 6.35044 | + | 3.50977i | 0.429123 | + | 0.237168i | ||||
\(220\) | 0.0618586 | + | 0.271020i | 0.00417051 | + | 0.0182722i | ||||
\(221\) | 6.39269 | − | 4.25758i | 0.430019 | − | 0.286396i | ||||
\(222\) | − | 8.42855i | − | 0.565687i | ||||||
\(223\) | −4.30675 | − | 6.06980i | −0.288402 | − | 0.406464i | 0.645632 | − | 0.763648i | \(-0.276594\pi\) |
−0.934034 | + | 0.357185i | \(0.883737\pi\) | |||||||
\(224\) | 0.306758 | + | 0.0258747i | 0.0204961 | + | 0.00172883i | ||||
\(225\) | 3.49650 | + | 5.56464i | 0.233100 | + | 0.370976i | ||||
\(226\) | −5.95613 | − | 7.05347i | −0.396196 | − | 0.469190i | ||||
\(227\) | 2.52889 | + | 4.28709i | 0.167848 | + | 0.284544i | 0.933405 | − | 0.358824i | \(-0.116822\pi\) |
−0.765557 | + | 0.643368i | \(0.777536\pi\) | |||||||
\(228\) | −0.409062 | + | 0.183043i | −0.0270908 | + | 0.0121223i | ||||
\(229\) | −6.85625 | − | 7.67215i | −0.453074 | − | 0.506990i | 0.474692 | − | 0.880152i | \(-0.342559\pi\) |
−0.927766 | + | 0.373162i | \(0.878274\pi\) | |||||||
\(230\) | 4.14955 | − | 1.19547i | 0.273613 | − | 0.0788267i | ||||
\(231\) | −0.126622 | + | 4.51298i | −0.00833112 | + | 0.296932i | ||||
\(232\) | −19.5563 | + | 18.4888i | −1.28393 | + | 1.21385i | ||||
\(233\) | −0.666111 | − | 2.58230i | −0.0436384 | − | 0.169172i | 0.942783 | − | 0.333408i | \(-0.108199\pi\) |
−0.986421 | + | 0.164236i | \(0.947484\pi\) | |||||||
\(234\) | 3.83004 | + | 0.431542i | 0.250378 | + | 0.0282108i | ||||
\(235\) | −1.96331 | − | 0.165603i | −0.128072 | − | 0.0108028i | ||||
\(236\) | −0.626395 | + | 0.700936i | −0.0407748 | + | 0.0456271i | ||||
\(237\) | −2.02303 | + | 0.974240i | −0.131410 | + | 0.0632837i | ||||
\(238\) | 3.86236 | + | 1.11902i | 0.250360 | + | 0.0725351i | ||||
\(239\) | −9.84918 | − | 12.3505i | −0.637090 | − | 0.798886i | 0.353545 | − | 0.935417i | \(-0.384976\pi\) |
−0.990636 | + | 0.136531i | \(0.956405\pi\) | |||||||
\(240\) | 2.50722 | + | 2.24059i | 0.161840 | + | 0.144629i | ||||
\(241\) | −4.20755 | − | 11.0226i | −0.271032 | − | 0.710029i | −0.999684 | − | 0.0251442i | \(-0.991995\pi\) |
0.728652 | − | 0.684885i | \(-0.240147\pi\) | |||||||
\(242\) | −21.3461 | + | 13.4126i | −1.37218 | + | 0.862198i | ||||
\(243\) | 6.12432 | + | 11.8548i | 0.392875 | + | 0.760484i | ||||
\(244\) | 0.0188718 | + | 0.0319923i | 0.00120814 | + | 0.00204809i | ||||
\(245\) | 1.72860 | + | 3.86305i | 0.110436 | + | 0.246801i | ||||
\(246\) | −0.765730 | − | 0.856852i | −0.0488212 | − | 0.0546309i | ||||
\(247\) | 7.25109 | − | 4.00754i | 0.461376 | − | 0.254993i | ||||
\(248\) | −4.74965 | − | 0.133262i | −0.301603 | − | 0.00846217i | ||||
\(249\) | 3.21824 | + | 10.0971i | 0.203948 | + | 0.639879i | ||||
\(250\) | 0.250725 | + | 8.93619i | 0.0158573 | + | 0.565174i | ||||
\(251\) | 4.45229 | + | 4.45229i | 0.281026 | + | 0.281026i | 0.833518 | − | 0.552492i | \(-0.186323\pi\) |
−0.552492 | + | 0.833518i | \(0.686323\pi\) | |||||||
\(252\) | 0.0433949 | + | 0.0649450i | 0.00273362 | + | 0.00409115i | ||||
\(253\) | 14.2928 | + | 20.1438i | 0.898578 | + | 1.26643i | ||||
\(254\) | −14.5363 | − | 18.2280i | −0.912091 | − | 1.14373i | ||||
\(255\) | 2.00260 | + | 2.66933i | 0.125408 | + | 0.167160i | ||||
\(256\) | 1.73861 | + | 0.837272i | 0.108663 | + | 0.0523295i | ||||
\(257\) | −0.733825 | + | 0.303960i | −0.0457748 | + | 0.0189605i | −0.405453 | − | 0.914116i | \(-0.632886\pi\) |
0.359679 | + | 0.933076i | \(0.382886\pi\) | |||||||
\(258\) | −0.978883 | − | 11.7942i | −0.0609426 | − | 0.734273i | ||||
\(259\) | −2.23284 | + | 2.23284i | −0.138742 | + | 0.138742i | ||||
\(260\) | 0.0775363 | + | 0.0583521i | 0.00480860 | + | 0.00361884i | ||||
\(261\) | −13.8064 | − | 1.94914i | −0.854593 | − | 0.120648i | ||||
\(262\) | −0.967648 | + | 1.14593i | −0.0597815 | + | 0.0707955i | ||||
\(263\) | 13.2375 | + | 2.24915i | 0.816262 | + | 0.138688i | 0.560610 | − | 0.828080i | \(-0.310567\pi\) |
0.255652 | + | 0.966769i | \(0.417710\pi\) | |||||||
\(264\) | −7.07454 | + | 17.0795i | −0.435408 | + | 1.05117i | ||||
\(265\) | −0.164693 | − | 0.827969i | −0.0101170 | − | 0.0508617i | ||||
\(266\) | 4.05229 | + | 1.54684i | 0.248462 | + | 0.0948429i | ||||
\(267\) | −14.4598 | + | 12.2102i | −0.884927 | + | 0.747254i | ||||
\(268\) | 0.808384 | − | 0.507941i | 0.0493799 | − | 0.0310275i | ||||
\(269\) | 0.312017 | − | 3.69911i | 0.0190240 | − | 0.225539i | −0.980548 | − | 0.196280i | \(-0.937114\pi\) |
0.999572 | − | 0.0292589i | \(-0.00931474\pi\) | |||||||
\(270\) | −0.290264 | + | 5.16863i | −0.0176649 | + | 0.314553i | ||||
\(271\) | −0.932858 | + | 0.212919i | −0.0566671 | + | 0.0129339i | −0.250760 | − | 0.968049i | \(-0.580681\pi\) |
0.194093 | + | 0.980983i | \(0.437824\pi\) | |||||||
\(272\) | 13.6714 | + | 10.3210i | 0.828949 | + | 0.625802i | ||||
\(273\) | 0.982624 | + | 1.23217i | 0.0594711 | + | 0.0745744i | ||||
\(274\) | 10.9399 | − | 1.85876i | 0.660904 | − | 0.112292i | ||||
\(275\) | −22.8420 | + | 8.71923i | −1.37742 | + | 0.525790i | ||||
\(276\) | −0.440213 | − | 0.154037i | −0.0264977 | − | 0.00927194i | ||||
\(277\) | 5.09649 | + | 9.86521i | 0.306218 | + | 0.592743i | 0.990665 | − | 0.136320i | \(-0.0435275\pi\) |
−0.684447 | + | 0.729063i | \(0.739956\pi\) | |||||||
\(278\) | −9.77585 | + | 3.11584i | −0.586316 | + | 0.186876i | ||||
\(279\) | −1.48029 | − | 1.96696i | −0.0886226 | − | 0.117759i | ||||
\(280\) | −0.0678959 | − | 1.20900i | −0.00405756 | − | 0.0722515i | ||||
\(281\) | 5.13382 | + | 9.28895i | 0.306258 | + | 0.554132i | 0.983340 | − | 0.181775i | \(-0.0581843\pi\) |
−0.677082 | + | 0.735908i | \(0.736756\pi\) | |||||||
\(282\) | 4.20020 | + | 3.54675i | 0.250118 | + | 0.211206i | ||||
\(283\) | −16.5170 | − | 2.33182i | −0.981835 | − | 0.138612i | −0.369517 | − | 0.929224i | \(-0.620477\pi\) |
−0.612318 | + | 0.790612i | \(0.709763\pi\) | |||||||
\(284\) | 0.149361 | + | 0.0668346i | 0.00886293 | + | 0.00396591i | ||||
\(285\) | 1.91505 | + | 3.04778i | 0.113438 | + | 0.180535i | ||||
\(286\) | −4.35442 | + | 13.6618i | −0.257482 | + | 0.807841i | ||||
\(287\) | −0.0241396 | + | 0.429845i | −0.00142491 | + | 0.0253729i | ||||
\(288\) | 0.145325 | + | 0.636711i | 0.00856337 | + | 0.0375186i | ||||
\(289\) | 11.2897 | + | 12.7099i | 0.664103 | + | 0.747642i | ||||
\(290\) | −7.09063 | − | 5.65459i | −0.416376 | − | 0.332049i | ||||
\(291\) | −1.54598 | − | 9.09901i | −0.0906272 | − | 0.533393i | ||||
\(292\) | −0.0392524 | + | 0.465357i | −0.00229707 | + | 0.0272330i | ||||
\(293\) | −24.8044 | − | 15.5856i | −1.44909 | − | 0.910521i | −0.999854 | − | 0.0171069i | \(-0.994554\pi\) |
−0.449233 | − | 0.893415i | \(-0.648303\pi\) | |||||||
\(294\) | 2.30369 | − | 11.5815i | 0.134354 | − | 0.675444i | ||||
\(295\) | 6.27790 | + | 4.19476i | 0.365514 | + | 0.244228i | ||||
\(296\) | −11.8022 | + | 5.28116i | −0.685991 | + | 0.306961i | ||||
\(297\) | −28.4521 | + | 8.19691i | −1.65096 | + | 0.475633i | ||||
\(298\) | 0.383053 | + | 6.82090i | 0.0221897 | + | 0.395124i | ||||
\(299\) | 8.34870 | + | 2.15357i | 0.482818 | + | 0.124544i | ||||
\(300\) | 0.256490 | − | 0.383864i | 0.0148084 | − | 0.0221624i | ||||
\(301\) | −2.86512 | + | 3.38376i | −0.165143 | + | 0.195037i | ||||
\(302\) | −11.7186 | − | 11.7186i | −0.674329 | − | 0.674329i | ||||
\(303\) | 1.39939 | + | 9.91237i | 0.0803931 | + | 0.569451i | ||||
\(304\) | 13.7773 | + | 12.3122i | 0.790184 | + | 0.706151i | ||||
\(305\) | 0.233248 | − | 0.186009i | 0.0133557 | − | 0.0106508i | ||||
\(306\) | 0.226442 | + | 8.52780i | 0.0129448 | + | 0.487502i | ||||
\(307\) | −8.97706 | −0.512348 | −0.256174 | − | 0.966631i | \(-0.582462\pi\) | ||||
−0.256174 | + | 0.966631i | \(0.582462\pi\) | |||||||
\(308\) | −0.268467 | + | 0.111203i | −0.0152973 | + | 0.00633636i | ||||
\(309\) | −3.06641 | − | 2.89904i | −0.174442 | − | 0.164920i | ||||
\(310\) | −0.179279 | − | 1.59115i | −0.0101824 | − | 0.0903711i | ||||
\(311\) | 3.10028 | + | 1.38728i | 0.175801 | + | 0.0786657i | 0.494446 | − | 0.869208i | \(-0.335371\pi\) |
−0.318646 | + | 0.947874i | \(0.603228\pi\) | |||||||
\(312\) | 1.95972 | + | 6.14854i | 0.110947 | + | 0.348093i | ||||
\(313\) | −17.0491 | − | 4.39787i | −0.963675 | − | 0.248582i | −0.265181 | − | 0.964199i | \(-0.585432\pi\) |
−0.698494 | + | 0.715616i | \(0.746146\pi\) | |||||||
\(314\) | 3.89217 | − | 22.9076i | 0.219648 | − | 1.29275i | ||||
\(315\) | 0.467790 | − | 0.418042i | 0.0263570 | − | 0.0235540i | ||||
\(316\) | −0.110420 | − | 0.0932414i | −0.00621161 | − | 0.00524524i | ||||
\(317\) | −15.6955 | + | 14.8388i | −0.881548 | + | 0.833431i | −0.986955 | − | 0.160998i | \(-0.948529\pi\) |
0.105406 | + | 0.994429i | \(0.466386\pi\) | |||||||
\(318\) | −0.962053 | + | 2.14998i | −0.0539493 | + | 0.120565i | ||||
\(319\) | 17.1325 | − | 48.9620i | 0.959238 | − | 2.74134i | ||||
\(320\) | 1.50318 | − | 4.71616i | 0.0840300 | − | 0.263641i | ||||
\(321\) | −10.8317 | − | 3.12056i | −0.604566 | − | 0.174172i | ||||
\(322\) | 1.95855 | + | 4.06697i | 0.109146 | + | 0.226643i | ||||
\(323\) | 11.0044 | + | 14.6681i | 0.612301 | + | 0.816156i | ||||
\(324\) | 0.132516 | − | 0.166170i | 0.00736202 | − | 0.00923168i | ||||
\(325\) | −4.12845 | + | 7.46987i | −0.229005 | + | 0.414354i | ||||
\(326\) | −2.55876 | − | 1.50937i | −0.141716 | − | 0.0835964i | ||||
\(327\) | 6.38431 | − | 4.01153i | 0.353053 | − | 0.221838i | ||||
\(328\) | −0.720032 | + | 1.60911i | −0.0397571 | + | 0.0888485i | ||||
\(329\) | −0.173107 | − | 2.05227i | −0.00954371 | − | 0.113146i | ||||
\(330\) | −6.03236 | − | 1.55606i | −0.332071 | − | 0.0856585i | ||||
\(331\) | 30.9007 | + | 5.25024i | 1.69846 | + | 0.288579i | 0.934309 | − | 0.356463i | \(-0.116017\pi\) |
0.764147 | + | 0.645042i | \(0.223160\pi\) | |||||||
\(332\) | −0.508602 | + | 0.454515i | −0.0279132 | + | 0.0249447i | ||||
\(333\) | −5.95166 | − | 3.07470i | −0.326149 | − | 0.168492i | ||||
\(334\) | 17.0185 | + | 18.0011i | 0.931212 | + | 0.984975i | ||||
\(335\) | −4.94734 | − | 5.85883i | −0.270302 | − | 0.320102i | ||||
\(336\) | −1.87002 | + | 2.97612i | −0.102018 | + | 0.162360i | ||||
\(337\) | −22.3146 | + | 14.9101i | −1.21555 | + | 0.812207i | −0.986905 | − | 0.161302i | \(-0.948431\pi\) |
−0.228648 | + | 0.973509i | \(0.573431\pi\) | |||||||
\(338\) | −5.26030 | − | 12.6995i | −0.286123 | − | 0.690761i | ||||
\(339\) | 7.80747 | − | 1.78200i | 0.424044 | − | 0.0967852i | ||||
\(340\) | −0.104177 | + | 0.187827i | −0.00564979 | + | 0.0101863i | ||||
\(341\) | 8.25142 | − | 3.97367i | 0.446839 | − | 0.215186i | ||||
\(342\) | −0.515949 | + | 9.18732i | −0.0278993 | + | 0.496794i | ||||
\(343\) | −7.61376 | + | 5.08735i | −0.411105 | + | 0.274691i | ||||
\(344\) | −15.9017 | + | 8.76070i | −0.857361 | + | 0.472345i | ||||
\(345\) | −0.730803 | + | 3.67399i | −0.0393451 | + | 0.197801i | ||||
\(346\) | 4.15945 | + | 7.05128i | 0.223613 | + | 0.379079i | ||||
\(347\) | 11.5908 | − | 8.72295i | 0.622225 | − | 0.468272i | −0.242749 | − | 0.970089i | \(-0.578049\pi\) |
0.864974 | + | 0.501817i | \(0.167335\pi\) | |||||||
\(348\) | 0.271158 | + | 0.941211i | 0.0145356 | + | 0.0504542i | ||||
\(349\) | −2.36526 | + | 13.9209i | −0.126609 | + | 0.745170i | 0.849450 | + | 0.527668i | \(0.176934\pi\) |
−0.976060 | + | 0.217502i | \(0.930209\pi\) | |||||||
\(350\) | −4.38250 | + | 0.871734i | −0.234255 | + | 0.0465961i | ||||
\(351\) | −5.74236 | + | 8.59405i | −0.306505 | + | 0.458716i | ||||
\(352\) | −2.42871 | + | 0.0681429i | −0.129450 | + | 0.00363203i | ||||
\(353\) | 21.5603 | − | 2.42927i | 1.14754 | − | 0.129297i | 0.482356 | − | 0.875975i | \(-0.339781\pi\) |
0.665185 | + | 0.746679i | \(0.268353\pi\) | |||||||
\(354\) | −7.51281 | − | 19.6815i | −0.399301 | − | 1.04606i | ||||
\(355\) | 0.363840 | − | 1.26292i | 0.0193106 | − | 0.0670287i | ||||
\(356\) | −1.09749 | − | 0.528521i | −0.0581667 | − | 0.0280116i | ||||
\(357\) | −2.40021 | + | 2.53115i | −0.127033 | + | 0.133963i | ||||
\(358\) | 7.22973 | + | 3.48165i | 0.382103 | + | 0.184011i | ||||
\(359\) | −7.05256 | + | 12.7606i | −0.372220 | + | 0.673481i | −0.993960 | − | 0.109743i | \(-0.964997\pi\) |
0.621740 | + | 0.783223i | \(0.286426\pi\) | |||||||
\(360\) | 2.39997 | − | 0.916118i | 0.126490 | − | 0.0482837i | ||||
\(361\) | 0.414690 | + | 0.659975i | 0.0218258 | + | 0.0347355i | ||||
\(362\) | −35.8885 | + | 9.25755i | −1.88626 | + | 0.486566i | ||||
\(363\) | −1.83809 | − | 21.7915i | −0.0964746 | − | 1.14376i | ||||
\(364\) | −0.0465580 | + | 0.0901217i | −0.00244030 | + | 0.00472366i | ||||
\(365\) | 3.74509 | − | 0.210320i | 0.196027 | − | 0.0110086i | ||||
\(366\) | −0.831088 | + | 0.0466729i | −0.0434417 | + | 0.00243963i | ||||
\(367\) | −9.98230 | + | 19.3226i | −0.521072 | + | 1.00863i | 0.470902 | + | 0.882186i | \(0.343929\pi\) |
−0.991973 | + | 0.126447i | \(0.959643\pi\) | |||||||
\(368\) | 1.61621 | + | 19.1610i | 0.0842508 | + | 0.998835i | ||||
\(369\) | −0.884385 | + | 0.228129i | −0.0460392 | + | 0.0118759i | ||||
\(370\) | −2.31820 | − | 3.68940i | −0.120518 | − | 0.191803i | ||||
\(371\) | 0.824421 | − | 0.314698i | 0.0428018 | − | 0.0163383i | ||||
\(372\) | −0.0836512 | + | 0.151355i | −0.00433711 | + | 0.00784741i | ||||
\(373\) | 22.6598 | + | 10.9124i | 1.17328 | + | 0.565021i | 0.915946 | − | 0.401302i | \(-0.131442\pi\) |
0.257332 | + | 0.966323i | \(0.417157\pi\) | |||||||
\(374\) | −31.2806 | − | 5.36316i | −1.61748 | − | 0.277322i | ||||
\(375\) | −6.98686 | − | 3.36470i | −0.360800 | − | 0.173752i | ||||
\(376\) | 2.33464 | − | 8.10373i | 0.120400 | − | 0.417918i | ||||
\(377\) | −6.45761 | − | 16.9171i | −0.332584 | − | 0.871276i | ||||
\(378\) | −5.37732 | + | 0.605879i | −0.276580 | + | 0.0311630i | ||||
\(379\) | 31.6332 | − | 0.887542i | 1.62489 | − | 0.0455900i | 0.796105 | − | 0.605159i | \(-0.206890\pi\) |
0.828784 | + | 0.559569i | \(0.189033\pi\) | |||||||
\(380\) | −0.128713 | + | 0.192632i | −0.00660282 | + | 0.00988182i | ||||
\(381\) | 19.8358 | − | 3.94558i | 1.01622 | − | 0.202138i | ||||
\(382\) | −5.64136 | + | 33.2027i | −0.288637 | + | 1.69880i | ||||
\(383\) | 3.83492 | + | 13.3113i | 0.195955 | + | 0.680176i | 0.996700 | + | 0.0811706i | \(0.0258659\pi\) |
−0.800745 | + | 0.599006i | \(0.795563\pi\) | |||||||
\(384\) | −11.9455 | + | 8.98989i | −0.609590 | + | 0.458763i | ||||
\(385\) | 1.18583 | + | 2.01028i | 0.0604357 | + | 0.102453i | ||||
\(386\) | −7.58626 | + | 38.1387i | −0.386131 | + | 1.94121i | ||||
\(387\) | −8.68532 | − | 3.61125i | −0.441500 | − | 0.183570i | ||||
\(388\) | 0.493925 | − | 0.330030i | 0.0250752 | − | 0.0167547i | ||||
\(389\) | −0.260341 | + | 4.63580i | −0.0131998 | + | 0.235045i | 0.984886 | + | 0.173203i | \(0.0554117\pi\) |
−0.998086 | + | 0.0618416i | \(0.980303\pi\) | |||||||
\(390\) | −1.95934 | + | 0.943567i | −0.0992149 | + | 0.0477794i | ||||
\(391\) | −2.16515 | + | 18.9601i | −0.109496 | + | 0.958854i | ||||
\(392\) | −17.6606 | + | 4.03092i | −0.891995 | + | 0.203592i | ||||
\(393\) | −0.497887 | − | 1.20201i | −0.0251151 | − | 0.0606332i | ||||
\(394\) | 16.8542 | − | 11.2616i | 0.849104 | − | 0.567353i | ||||
\(395\) | −0.617578 | + | 0.982869i | −0.0310737 | + | 0.0494535i | ||||
\(396\) | −0.397727 | − | 0.471004i | −0.0199865 | − | 0.0236688i | ||||
\(397\) | −15.6281 | − | 16.5304i | −0.784352 | − | 0.829637i | 0.204449 | − | 0.978877i | \(-0.434460\pi\) |
−0.988801 | + | 0.149241i | \(0.952317\pi\) | |||||||
\(398\) | 29.3309 | + | 15.1527i | 1.47023 | + | 0.759537i | ||||
\(399\) | −2.80555 | + | 2.50719i | −0.140453 | + | 0.125517i | ||||
\(400\) | −18.7657 | − | 3.18842i | −0.938284 | − | 0.159421i | ||||
\(401\) | −21.6709 | − | 5.59006i | −1.08219 | − | 0.279154i | −0.333957 | − | 0.942588i | \(-0.608384\pi\) |
−0.748234 | + | 0.663434i | \(0.769098\pi\) | |||||||
\(402\) | 1.79830 | + | 21.3198i | 0.0896912 | + | 1.06333i | ||||
\(403\) | 1.30579 | − | 2.91816i | 0.0650463 | − | 0.145364i | ||||
\(404\) | −0.545564 | + | 0.342800i | −0.0271428 | + | 0.0170550i | ||||
\(405\) | −1.47035 | − | 0.867338i | −0.0730623 | − | 0.0430984i | ||||
\(406\) | 4.58576 | − | 8.29730i | 0.227587 | − | 0.411788i | ||||
\(407\) | 15.5386 | − | 19.4848i | 0.770220 | − | 0.965825i | ||||
\(408\) | −12.8781 | + | 6.17795i | −0.637562 | + | 0.305854i | ||||
\(409\) | −8.80220 | − | 18.2780i | −0.435241 | − | 0.903787i | −0.997067 | − | 0.0765315i | \(-0.975615\pi\) |
0.561826 | − | 0.827255i | \(-0.310099\pi\) | |||||||
\(410\) | −0.570851 | − | 0.164459i | −0.0281923 | − | 0.00812206i | ||||
\(411\) | −2.92317 | + | 9.17134i | −0.144189 | + | 0.452389i | ||||
\(412\) | 0.0897059 | − | 0.256365i | 0.00441949 | − | 0.0126302i | ||||
\(413\) | −3.22364 | + | 7.20414i | −0.158625 | + | 0.354492i | ||||
\(414\) | −6.95868 | + | 6.57886i | −0.342001 | + | 0.323333i | ||||
\(415\) | 4.18584 | + | 3.53463i | 0.205475 | + | 0.173508i | ||||
\(416\) | −0.632411 | + | 0.565157i | −0.0310065 | + | 0.0277091i | ||||
\(417\) | 1.49089 | − | 8.77472i | 0.0730090 | − | 0.429700i | ||||
\(418\) | −33.1482 | − | 8.55067i | −1.62133 | − | 0.418227i | ||||
\(419\) | 1.60806 | + | 5.04524i | 0.0785589 | + | 0.246476i | 0.984051 | − | 0.177888i | \(-0.0569264\pi\) |
−0.905492 | + | 0.424364i | \(0.860498\pi\) | |||||||
\(420\) | −0.0402275 | − | 0.0180007i | −0.00196290 | − | 0.000878343i | ||||
\(421\) | −2.51726 | − | 22.3413i | −0.122684 | − | 1.08885i | −0.892646 | − | 0.450759i | \(-0.851153\pi\) |
0.769962 | − | 0.638090i | \(-0.220275\pi\) | |||||||
\(422\) | 26.1424 | + | 24.7154i | 1.27259 | + | 1.20313i | ||||
\(423\) | 4.03668 | − | 1.67205i | 0.196270 | − | 0.0812978i | ||||
\(424\) | 3.61335 | 0.175480 | ||||||||
\(425\) | −17.6382 | − | 6.76324i | −0.855578 | − | 0.328065i | ||||
\(426\) | −2.86701 | + | 2.28636i | −0.138907 | + | 0.110775i | ||||
\(427\) | 0.232531 | + | 0.207802i | 0.0112530 | + | 0.0100563i | ||||
\(428\) | −0.101421 | − | 0.718399i | −0.00490237 | − | 0.0347251i | ||||
\(429\) | −8.79535 | − | 8.79535i | −0.424643 | − | 0.424643i | ||||
\(430\) | −3.67238 | − | 4.89339i | −0.177098 | − | 0.235980i | ||||
\(431\) | 14.5672 | − | 21.8013i | 0.701675 | − | 1.05013i | −0.293870 | − | 0.955845i | \(-0.594943\pi\) |
0.995545 | − | 0.0942858i | \(-0.0300568\pi\) | |||||||
\(432\) | −22.3210 | − | 5.75775i | −1.07392 | − | 0.277020i | ||||
\(433\) | 2.14218 | + | 38.1450i | 0.102947 | + | 1.83313i | 0.447404 | + | 0.894332i | \(0.352349\pi\) |
−0.344457 | + | 0.938802i | \(0.611937\pi\) | |||||||
\(434\) | 1.60836 | − | 0.463359i | 0.0772035 | − | 0.0222420i | ||||
\(435\) | 7.18106 | − | 3.21332i | 0.344306 | − | 0.154067i | ||||
\(436\) | 0.403515 | + | 0.269620i | 0.0193249 | + | 0.0129125i | ||||
\(437\) | −4.01581 | + | 20.1888i | −0.192102 | + | 0.965762i | ||||
\(438\) | −8.86165 | − | 5.56814i | −0.423426 | − | 0.266056i | ||||
\(439\) | 0.00180515 | − | 0.0214010i | 8.61551e−5 | − | 0.00102141i | −0.996418 | − | 0.0845612i | \(-0.973051\pi\) |
0.996504 | + | 0.0835398i | \(0.0266226\pi\) | |||||||
\(440\) | 1.60085 | + | 9.42193i | 0.0763175 | + | 0.449173i | ||||
\(441\) | −7.33764 | − | 5.85157i | −0.349411 | − | 0.278646i | ||||
\(442\) | −9.55068 | + | 5.61447i | −0.454280 | + | 0.267053i | ||||
\(443\) | 0.463269 | + | 2.02971i | 0.0220106 | + | 0.0964346i | 0.984740 | − | 0.174031i | \(-0.0556794\pi\) |
−0.962730 | + | 0.270466i | \(0.912822\pi\) | |||||||
\(444\) | −0.0263862 | + | 0.469850i | −0.00125223 | + | 0.0222981i | ||||
\(445\) | −2.97113 | + | 9.32181i | −0.140845 | + | 0.441896i | ||||
\(446\) | 5.71141 | + | 9.08965i | 0.270443 | + | 0.430408i | ||||
\(447\) | −5.40931 | − | 2.42051i | −0.255852 | − | 0.114486i | ||||
\(448\) | 5.12341 | + | 0.723305i | 0.242058 | + | 0.0341729i | ||||
\(449\) | −6.83543 | − | 5.77201i | −0.322584 | − | 0.272398i | 0.469340 | − | 0.883017i | \(-0.344492\pi\) |
−0.791924 | + | 0.610620i | \(0.790920\pi\) | |||||||
\(450\) | −4.58538 | − | 8.29662i | −0.216157 | − | 0.391107i | ||||
\(451\) | −0.190519 | − | 3.39251i | −0.00897121 | − | 0.159747i | ||||
\(452\) | 0.309943 | + | 0.411842i | 0.0145785 | + | 0.0193714i | ||||
\(453\) | 13.6971 | − | 4.36567i | 0.643548 | − | 0.205117i | ||||
\(454\) | −3.29522 | − | 6.37853i | −0.154653 | − | 0.299359i | ||||
\(455\) | 0.769019 | + | 0.269092i | 0.0360522 | + | 0.0126152i | ||||
\(456\) | −14.3938 | + | 5.49439i | −0.674050 | + | 0.257298i | ||||
\(457\) | 1.79251 | − | 0.304560i | 0.0838502 | − | 0.0142467i | −0.125430 | − | 0.992103i | \(-0.540031\pi\) |
0.209280 | + | 0.977856i | \(0.432888\pi\) | |||||||
\(458\) | 9.25344 | + | 11.6035i | 0.432385 | + | 0.542194i | ||||
\(459\) | −20.5965 | − | 9.95691i | −0.961363 | − | 0.464749i | ||||
\(460\) | −0.235059 | + | 0.0536508i | −0.0109597 | + | 0.00250148i | ||||
\(461\) | −2.33776 | + | 41.6277i | −0.108880 | + | 1.93879i | 0.184569 | + | 0.982820i | \(0.440911\pi\) |
−0.293449 | + | 0.955975i | \(0.594803\pi\) | |||||||
\(462\) | 0.547347 | − | 6.48907i | 0.0254649 | − | 0.301899i | ||||
\(463\) | 31.2812 | − | 19.6553i | 1.45376 | − | 0.913458i | 0.454012 | − | 0.890996i | \(-0.349992\pi\) |
0.999748 | − | 0.0224623i | \(-0.00715057\pi\) | |||||||
\(464\) | 30.8552 | − | 26.0549i | 1.43242 | − | 1.20957i | ||||
\(465\) | 1.29766 | + | 0.495344i | 0.0601777 | + | 0.0229710i | ||||
\(466\) | 0.750444 | + | 3.77274i | 0.0347637 | + | 0.174769i | ||||
\(467\) | 6.47834 | − | 15.6401i | 0.299782 | − | 0.723738i | −0.700170 | − | 0.713976i | \(-0.746893\pi\) |
0.999952 | − | 0.00976184i | \(-0.00310734\pi\) | |||||||
\(468\) | −0.212155 | − | 0.0360466i | −0.00980687 | − | 0.00166625i | ||||
\(469\) | 5.17151 | − | 6.12430i | 0.238798 | − | 0.282794i | ||||
\(470\) | 2.81404 | + | 0.397277i | 0.129802 | + | 0.0183250i | ||||
\(471\) | 16.1051 | + | 12.1203i | 0.742082 | + | 0.558474i | ||||
\(472\) | −22.8520 | + | 22.8520i | −1.05185 | + | 1.05185i | ||||
\(473\) | 19.4804 | − | 29.0700i | 0.895711 | − | 1.33664i | ||||
\(474\) | 2.99223 | − | 1.23942i | 0.137438 | − | 0.0569286i | ||||
\(475\) | −18.3583 | − | 8.84092i | −0.842339 | − | 0.405649i | ||||
\(476\) | −0.211804 | − | 0.0744711i | −0.00970804 | − | 0.00341338i | ||||
\(477\) | 1.16721 | + | 1.46364i | 0.0534430 | + | 0.0670154i | ||||
\(478\) | 13.1853 | + | 18.5829i | 0.603081 | + | 0.849964i | ||||
\(479\) | −12.7502 | − | 19.0820i | −0.582571 | − | 0.871880i | 0.416738 | − | 0.909026i | \(-0.363173\pi\) |
−0.999310 | + | 0.0371467i | \(0.988173\pi\) | |||||||
\(480\) | −0.260562 | − | 0.260562i | −0.0118930 | − | 0.0118930i | ||||
\(481\) | −0.243995 | − | 8.69631i | −0.0111252 | − | 0.396518i | ||||
\(482\) | 5.16798 | + | 16.2144i | 0.235395 | + | 0.738544i | ||||
\(483\) | −3.91417 | − | 0.109821i | −0.178101 | − | 0.00499703i | ||||
\(484\) | 1.23193 | − | 0.680863i | 0.0559968 | − | 0.0309483i | ||||
\(485\) | −3.17933 | − | 3.55767i | −0.144366 | − | 0.161545i | ||||
\(486\) | −7.86109 | − | 17.5678i | −0.356586 | − | 0.796892i | ||||
\(487\) | 0.0115062 | + | 0.0195058i | 0.000521395 | + | 0.000883893i | 0.861573 | − | 0.507633i | \(-0.169480\pi\) |
−0.861052 | + | 0.508517i | \(0.830194\pi\) | |||||||
\(488\) | 0.586098 | + | 1.13450i | 0.0265314 | + | 0.0513565i | ||||
\(489\) | 2.18202 | − | 1.37106i | 0.0986745 | − | 0.0620013i | ||||
\(490\) | −2.17700 | − | 5.70312i | −0.0983467 | − | 0.257641i | ||||
\(491\) | 3.98985 | + | 3.56555i | 0.180059 | + | 0.160911i | 0.751501 | − | 0.659732i | \(-0.229330\pi\) |
−0.571442 | + | 0.820643i | \(0.693616\pi\) | |||||||
\(492\) | 0.0400032 | + | 0.0501624i | 0.00180348 | + | 0.00226150i | ||||
\(493\) | 35.1067 | − | 19.3340i | 1.58113 | − | 0.870758i | ||||
\(494\) | −10.7667 | + | 5.18496i | −0.484416 | + | 0.233282i | ||||
\(495\) | −3.29936 | + | 3.69199i | −0.148295 | + | 0.165943i | ||||
\(496\) | 7.10481 | + | 0.599284i | 0.319015 | + | 0.0269086i | ||||
\(497\) | 1.36520 | + | 0.153821i | 0.0612375 | + | 0.00689981i | ||||
\(498\) | −3.81809 | − | 14.8015i | −0.171093 | − | 0.663271i | ||||
\(499\) | −5.68355 | + | 5.37332i | −0.254430 | + | 0.240543i | −0.803602 | − | 0.595167i | \(-0.797086\pi\) |
0.549172 | + | 0.835709i | \(0.314943\pi\) | |||||||
\(500\) | 0.0139987 | − | 0.498933i | 0.000626041 | − | 0.0223130i | ||||
\(501\) | −20.6492 | + | 5.94892i | −0.922537 | + | 0.265778i | ||||
\(502\) | −6.05182 | − | 6.77199i | −0.270106 | − | 0.302249i | ||||
\(503\) | 5.17357 | − | 2.31502i | 0.230678 | − | 0.103222i | −0.289831 | − | 0.957078i | \(-0.593599\pi\) |
0.520509 | + | 0.853856i | \(0.325742\pi\) | |||||||
\(504\) | 1.36433 | + | 2.31287i | 0.0607719 | + | 0.103023i | ||||
\(505\) | 3.33887 | + | 3.95402i | 0.148578 | + | 0.175951i | ||||
\(506\) | −18.9544 | − | 30.1657i | −0.842624 | − | 1.34103i | ||||
\(507\) | 11.8818 | + | 1.00221i | 0.527688 | + | 0.0445099i | ||||
\(508\) | 0.753265 | + | 1.06163i | 0.0334207 | + | 0.0471021i | ||||
\(509\) | 40.3224i | 1.78726i | 0.448805 | + | 0.893630i | \(0.351850\pi\) | ||||
−0.448805 | + | 0.893630i | \(0.648150\pi\) | |||||||
\(510\) | −2.66813 | − | 4.00616i | −0.118147 | − | 0.177396i | ||||
\(511\) | 0.872495 | + | 3.82265i | 0.0385969 | + | 0.169104i | ||||
\(512\) | 18.4791 | + | 10.2130i | 0.816669 | + | 0.451357i | ||||
\(513\) | −21.2541 | − | 12.5375i | −0.938390 | − | 0.553542i | ||||
\(514\) | 1.08139 | − | 0.378395i | 0.0476981 | − | 0.0166903i | ||||
\(515\) | −2.13961 | − | 0.425594i | −0.0942824 | − | 0.0187539i | ||||
\(516\) | 0.0176453 | + | 0.660531i | 0.000776792 | + | 0.0290783i | ||||
\(517\) | 3.17118 | + | 15.9426i | 0.139468 | + | 0.701154i | ||||
\(518\) | 3.39618 | − | 3.03501i | 0.149219 | − | 0.133351i | ||||
\(519\) | −7.09044 | + | 0.398190i | −0.311236 | + | 0.0174786i | ||||
\(520\) | 2.54893 | + | 2.15238i | 0.111778 | + | 0.0943880i | ||||
\(521\) | 33.8907 | + | 12.9368i | 1.48478 | + | 0.566769i | 0.958888 | − | 0.283784i | \(-0.0915898\pi\) |
0.525889 | + | 0.850553i | \(0.323733\pi\) | |||||||
\(522\) | 19.7254 | + | 3.92363i | 0.863358 | + | 0.171733i | ||||
\(523\) | −2.86653 | + | 2.86653i | −0.125345 | + | 0.125345i | −0.766996 | − | 0.641652i | \(-0.778250\pi\) |
0.641652 | + | 0.766996i | \(0.278250\pi\) | |||||||
\(524\) | 0.0575290 | − | 0.0608504i | 0.00251317 | − | 0.00265826i | ||||
\(525\) | 1.07305 | − | 3.72463i | 0.0468317 | − | 0.162556i | ||||
\(526\) | −18.8820 | − | 4.30969i | −0.823293 | − | 0.187911i | ||||
\(527\) | 6.79652 | + | 1.96911i | 0.296061 | + | 0.0857758i | ||||
\(528\) | 12.0363 | − | 24.9935i | 0.523811 | − | 1.08770i | ||||
\(529\) | 1.28696 | − | 0.913143i | 0.0559546 | − | 0.0397019i | ||||
\(530\) | 0.170218 | + | 1.20571i | 0.00739378 | + | 0.0523726i | ||||
\(531\) | −16.6383 | − | 1.87469i | −0.722042 | − | 0.0813545i | ||||
\(532\) | −0.221053 | − | 0.0989148i | −0.00958385 | − | 0.00428850i | ||||
\(533\) | −0.814861 | − | 0.861906i | −0.0352955 | − | 0.0373333i | ||||
\(534\) | 21.8116 | − | 16.4149i | 0.943882 | − | 0.710344i | ||||
\(535\) | −5.59960 | + | 1.61322i | −0.242092 | + | 0.0697455i | ||||
\(536\) | 28.7267 | − | 15.8767i | 1.24080 | − | 0.685767i | ||||
\(537\) | −5.56178 | + | 4.18567i | −0.240009 | + | 0.180625i | ||||
\(538\) | −0.748517 | + | 5.30199i | −0.0322709 | + | 0.228585i | ||||
\(539\) | 26.6768 | − | 22.5265i | 1.14905 | − | 0.970287i | ||||
\(540\) | 0.0323616 | − | 0.287217i | 0.00139262 | − | 0.0123599i | ||||
\(541\) | 3.78490 | − | 6.41633i | 0.162725 | − | 0.275860i | −0.768834 | − | 0.639448i | \(-0.779163\pi\) |
0.931560 | + | 0.363589i | \(0.118449\pi\) | |||||||
\(542\) | 1.36066 | − | 0.231186i | 0.0584455 | − | 0.00993029i | ||||
\(543\) | 7.15426 | − | 31.3449i | 0.307019 | − | 1.34514i | ||||
\(544\) | −1.43245 | − | 1.21329i | −0.0614157 | − | 0.0520192i | ||||
\(545\) | 1.69125 | − | 3.51191i | 0.0724450 | − | 0.150434i | ||||
\(546\) | −1.31546 | − | 1.85397i | −0.0562964 | − | 0.0793424i | ||||
\(547\) | 5.04731 | + | 35.7518i | 0.215808 | + | 1.52864i | 0.737409 | + | 0.675447i | \(0.236049\pi\) |
−0.521601 | + | 0.853189i | \(0.674665\pi\) | |||||||
\(548\) | −0.615664 | + | 0.0693687i | −0.0262999 | + | 0.00296328i | ||||
\(549\) | −0.270220 | + | 0.603883i | −0.0115327 | + | 0.0257731i | ||||
\(550\) | 33.6007 | − | 10.7095i | 1.43274 | − | 0.456655i | ||||
\(551\) | 39.4604 | − | 17.6574i | 1.68107 | − | 0.752230i | ||||
\(552\) | −14.8132 | − | 6.13584i | −0.630493 | − | 0.261159i | ||||
\(553\) | −1.12102 | − | 0.464343i | −0.0476708 | − | 0.0197459i | ||||
\(554\) | −6.54178 | − | 14.6194i | −0.277933 | − | 0.621120i | ||||
\(555\) | 3.76638 | − | 0.317690i | 0.159874 | − | 0.0134852i | ||||
\(556\) | 0.554710 | − | 0.143089i | 0.0235249 | − | 0.00606832i | ||||
\(557\) | 10.6561 | + | 30.4533i | 0.451512 | + | 1.29035i | 0.914716 | + | 0.404096i | \(0.132414\pi\) |
−0.463204 | + | 0.886252i | \(0.653300\pi\) | |||||||
\(558\) | 1.97274 | + | 2.95241i | 0.0835127 | + | 0.124986i | ||||
\(559\) | −1.35141 | − | 12.1405i | −0.0571584 | − | 0.513490i | ||||
\(560\) | 1.81706i | 0.0767847i | ||||||||
\(561\) | 16.5876 | − | 21.9723i | 0.700331 | − | 0.927672i | ||||
\(562\) | −6.64215 | − | 13.7926i | −0.280182 | − | 0.581804i | ||||
\(563\) | 12.0132 | − | 21.7363i | 0.506298 | − | 0.916077i | −0.492650 | − | 0.870227i | \(-0.663972\pi\) |
0.998948 | − | 0.0458499i | \(-0.0145996\pi\) | |||||||
\(564\) | −0.223037 | − | 0.210863i | −0.00939154 | − | 0.00887892i | ||||
\(565\) | 2.92741 | − | 2.92741i | 0.123157 | − | 0.123157i | ||||
\(566\) | 23.5982 | + | 4.69397i | 0.991906 | + | 0.197302i | ||||
\(567\) | 0.636376 | − | 1.66713i | 0.0267253 | − | 0.0700128i | ||||
\(568\) | 4.99793 | + | 2.58199i | 0.209708 | + | 0.108338i | ||||
\(569\) | −4.59767 | + | 6.47981i | −0.192744 | + | 0.271648i | −0.900543 | − | 0.434766i | \(-0.856831\pi\) |
0.707799 | + | 0.706414i | \(0.249688\pi\) | |||||||
\(570\) | −2.51144 | − | 4.54410i | −0.105192 | − | 0.190331i | ||||
\(571\) | 4.32062 | − | 16.7497i | 0.180812 | − | 0.700952i | −0.812244 | − | 0.583317i | \(-0.801754\pi\) |
0.993057 | − | 0.117635i | \(-0.0375312\pi\) | |||||||
\(572\) | 0.285507 | − | 0.747948i | 0.0119376 | − | 0.0312733i | ||||
\(573\) | −23.3429 | − | 17.5673i | −0.975163 | − | 0.733886i | ||||
\(574\) | 0.0695285 | − | 0.617082i | 0.00290206 | − | 0.0257565i | ||||
\(575\) | −7.56231 | − | 19.8111i | −0.315370 | − | 0.826182i | ||||
\(576\) | 1.83869 | + | 10.8218i | 0.0766123 | + | 0.450907i | ||||
\(577\) | −33.0527 | + | 15.9173i | −1.37600 | + | 0.662647i | −0.968143 | − | 0.250399i | \(-0.919438\pi\) |
−0.407857 | + | 0.913046i | \(0.633724\pi\) | |||||||
\(578\) | −15.2308 | − | 19.2171i | −0.633519 | − | 0.799325i | ||||
\(579\) | −26.3727 | − | 21.0315i | −1.09601 | − | 0.874041i | ||||
\(580\) | 0.377566 | + | 0.337413i | 0.0156776 | + | 0.0140103i | ||||
\(581\) | −2.90966 | + | 4.93259i | −0.120713 | + | 0.204638i | ||||
\(582\) | 1.49053 | + | 13.2288i | 0.0617846 | + | 0.548353i | ||||
\(583\) | −6.18767 | + | 3.19663i | −0.256267 | + | 0.132391i | ||||
\(584\) | −2.24436 | + | 15.8976i | −0.0928725 | + | 0.657846i | ||||
\(585\) | −0.0484762 | + | 1.72776i | −0.00200424 | + | 0.0714340i | ||||
\(586\) | 34.4612 | + | 24.4515i | 1.42358 | + | 1.01008i | ||||
\(587\) | 7.57861 | + | 26.3059i | 0.312803 | + | 1.08576i | 0.949271 | + | 0.314459i | \(0.101823\pi\) |
−0.636468 | + | 0.771303i | \(0.719605\pi\) | |||||||
\(588\) | −0.164676 | + | 0.638397i | −0.00679113 | + | 0.0263270i | ||||
\(589\) | 7.13074 | + | 2.72195i | 0.293817 | + | 0.112156i | ||||
\(590\) | −8.70178 | − | 6.54876i | −0.358247 | − | 0.269608i | ||||
\(591\) | 1.96876 | + | 17.4732i | 0.0809838 | + | 0.718751i | ||||
\(592\) | 18.1267 | − | 6.91932i | 0.745002 | − | 0.284382i | ||||
\(593\) | 22.7904 | + | 6.56581i | 0.935890 | + | 0.269625i | 0.709737 | − | 0.704466i | \(-0.248814\pi\) |
0.226153 | + | 0.974092i | \(0.427385\pi\) | |||||||
\(594\) | 41.6378 | − | 9.50356i | 1.70842 | − | 0.389936i | ||||
\(595\) | −0.354462 | + | 1.76811i | −0.0145315 | + | 0.0724855i | ||||
\(596\) | − | 0.381430i | − | 0.0156240i | ||||||
\(597\) | −23.3561 | + | 16.5721i | −0.955903 | + | 0.678249i | ||||
\(598\) | −11.8491 | − | 3.77665i | −0.484545 | − | 0.154439i | ||||
\(599\) | −8.23545 | + | 23.5356i | −0.336491 | + | 0.961637i | 0.643991 | + | 0.765033i | \(0.277277\pi\) |
−0.980483 | + | 0.196605i | \(0.937008\pi\) | |||||||
\(600\) | 9.54388 | − | 12.6816i | 0.389627 | − | 0.517724i | ||||
\(601\) | −7.01664 | − | 4.68837i | −0.286215 | − | 0.191243i | 0.404172 | − | 0.914683i | \(-0.367560\pi\) |
−0.690387 | + | 0.723440i | \(0.742560\pi\) | |||||||
\(602\) | 4.39983 | − | 4.64136i | 0.179324 | − | 0.189168i | ||||
\(603\) | 15.7106 | + | 6.50753i | 0.639784 | + | 0.265007i | ||||
\(604\) | 0.616567 | + | 0.689939i | 0.0250878 | + | 0.0280732i | ||||
\(605\) | −6.79815 | − | 9.03316i | −0.276384 | − | 0.367250i | ||||
\(606\) | −1.21364 | − | 14.3883i | −0.0493008 | − | 0.584486i | ||||
\(607\) | −7.23527 | + | 0.203002i | −0.293671 | + | 0.00823960i | −0.174577 | − | 0.984643i | \(-0.555856\pi\) |
−0.119093 | + | 0.992883i | \(0.537999\pi\) | |||||||
\(608\) | −1.43180 | − | 1.43180i | −0.0580674 | − | 0.0580674i | ||||
\(609\) | 4.56884 | + | 6.83776i | 0.185139 | + | 0.277080i | ||||
\(610\) | −0.350952 | + | 0.249014i | −0.0142096 | + | 0.0100823i | ||||
\(611\) | 4.43630 | + | 3.53783i | 0.179474 | + | 0.143125i | ||||
\(612\) | 0.0140739 | − | 0.476092i | 0.000568904 | − | 0.0192449i | ||||
\(613\) | −29.7462 | + | 37.3005i | −1.20144 | + | 1.50655i | −0.391353 | + | 0.920241i | \(0.627993\pi\) |
−0.810084 | + | 0.586314i | \(0.800579\pi\) | |||||||
\(614\) | 12.9282 | + | 0.726032i | 0.521740 | + | 0.0293003i | ||||
\(615\) | 0.354030 | − | 0.374470i | 0.0142759 | − | 0.0151001i | ||||
\(616\) | −9.42940 | + | 3.29949i | −0.379921 | + | 0.132940i | ||||
\(617\) | 1.18524 | − | 0.612312i | 0.0477161 | − | 0.0246507i | −0.434958 | − | 0.900451i | \(-0.643237\pi\) |
0.482674 | + | 0.875800i | \(0.339665\pi\) | |||||||
\(618\) | 4.18159 | + | 4.42301i | 0.168208 | + | 0.177920i | ||||
\(619\) | 24.7648 | + | 0.694833i | 0.995382 | + | 0.0279277i | 0.522014 | − | 0.852937i | \(-0.325181\pi\) |
0.473368 | + | 0.880865i | \(0.343038\pi\) | |||||||
\(620\) | 0.00501273 | + | 0.0892599i | 0.000201316 | + | 0.00358476i | ||||
\(621\) | −7.10929 | − | 24.6769i | −0.285286 | − | 0.990249i | ||||
\(622\) | −4.35262 | − | 2.24862i | −0.174524 | − | 0.0901614i | ||||
\(623\) | −10.1268 | − | 1.42966i | −0.405720 | − | 0.0572781i | ||||
\(624\) | −2.41876 | − | 9.37676i | −0.0968279 | − | 0.375371i | ||||
\(625\) | 18.7802 | − | 2.11602i | 0.751207 | − | 0.0846407i | ||||
\(626\) | 24.1974 | + | 7.71241i | 0.967123 | + | 0.308250i | ||||
\(627\) | 19.7878 | − | 22.1426i | 0.790249 | − | 0.884289i | ||||
\(628\) | −0.288683 | + | 1.26480i | −0.0115197 | + | 0.0504711i | ||||
\(629\) | 18.9882 | − | 3.19687i | 0.757109 | − | 0.127468i | ||||
\(630\) | −0.707490 | + | 0.564205i | −0.0281871 | + | 0.0224785i | ||||
\(631\) | −44.1761 | − | 2.48088i | −1.75862 | − | 0.0987622i | −0.852753 | − | 0.522315i | \(-0.825069\pi\) |
−0.905872 | + | 0.423552i | \(0.860783\pi\) | |||||||
\(632\) | −3.61040 | − | 3.41333i | −0.143614 | − | 0.135775i | ||||
\(633\) | −29.4565 | + | 10.3073i | −1.17079 | + | 0.409677i | ||||
\(634\) | 23.8038 | − | 20.1005i | 0.945370 | − | 0.798294i | ||||
\(635\) | 7.59745 | − | 7.18275i | 0.301495 | − | 0.285039i | ||||
\(636\) | 0.0603604 | − | 0.116839i | 0.00239345 | − | 0.00463296i | ||||
\(637\) | 2.04161 | − | 12.0161i | 0.0808916 | − | 0.476094i | ||||
\(638\) | −28.6331 | + | 69.1263i | −1.13359 | + | 2.73674i | ||||
\(639\) | 0.568598 | + | 2.85854i | 0.0224934 | + | 0.113082i | ||||
\(640\) | −2.75625 | + | 7.22062i | −0.108951 | + | 0.285420i | ||||
\(641\) | 36.3902 | − | 18.7996i | 1.43733 | − | 0.742541i | 0.448807 | − | 0.893629i | \(-0.351849\pi\) |
0.988520 | + | 0.151088i | \(0.0482777\pi\) | |||||||
\(642\) | 15.3467 | + | 5.37005i | 0.605687 | + | 0.211939i | ||||
\(643\) | −31.0115 | + | 4.37810i | −1.22297 | + | 0.172655i | −0.721437 | − | 0.692480i | \(-0.756518\pi\) |
−0.501538 | + | 0.865136i | \(0.667232\pi\) | |||||||
\(644\) | −0.0964475 | − | 0.232845i | −0.00380056 | − | 0.00917537i | ||||
\(645\) | 5.23344 | − | 0.881971i | 0.206067 | − | 0.0347276i | ||||
\(646\) | −14.6615 | − | 22.0141i | −0.576850 | − | 0.866133i | ||||
\(647\) | 12.6313 | − | 26.2291i | 0.496587 | − | 1.03117i | −0.490568 | − | 0.871403i | \(-0.663211\pi\) |
0.987154 | − | 0.159770i | \(-0.0510751\pi\) | |||||||
\(648\) | 4.86890 | − | 5.44830i | 0.191268 | − | 0.214029i | ||||
\(649\) | 18.9163 | − | 59.3492i | 0.742529 | − | 2.32966i | ||||
\(650\) | 6.54967 | − | 10.4237i | 0.256899 | − | 0.408853i | ||||
\(651\) | −0.283257 | + | 1.42403i | −0.0111017 | + | 0.0558122i | ||||
\(652\) | 0.137913 | + | 0.0921504i | 0.00540108 | + | 0.00360889i | ||||
\(653\) | −9.76816 | − | 21.8297i | −0.382257 | − | 0.854262i | −0.997809 | − | 0.0661647i | \(-0.978924\pi\) |
0.615551 | − | 0.788097i | \(-0.288933\pi\) | |||||||
\(654\) | −9.51872 | + | 5.26081i | −0.372211 | + | 0.205714i | ||||
\(655\) | −0.548541 | − | 0.389210i | −0.0214333 | − | 0.0152077i | ||||
\(656\) | 1.21416 | − | 2.35023i | 0.0474048 | − | 0.0917609i | ||||
\(657\) | −7.16453 | + | 4.22625i | −0.279515 | + | 0.164882i | ||||
\(658\) | 0.0833176 | + | 2.96955i | 0.00324806 | + | 0.115765i | ||||
\(659\) | 13.8884 | + | 39.6907i | 0.541015 | + | 1.54613i | 0.812065 | + | 0.583567i | \(0.198343\pi\) |
−0.271050 | + | 0.962565i | \(0.587371\pi\) | |||||||
\(660\) | 0.331403 | + | 0.105628i | 0.0128998 | + | 0.00411155i | ||||
\(661\) | −4.40134 | − | 25.9044i | −0.171192 | − | 1.00757i | −0.933030 | − | 0.359798i | \(-0.882846\pi\) |
0.761838 | − | 0.647767i | \(-0.224297\pi\) | |||||||
\(662\) | −44.0766 | − | 10.0602i | −1.71309 | − | 0.391001i | ||||
\(663\) | −0.524436 | − | 9.59601i | −0.0203674 | − | 0.372678i | ||||
\(664\) | −18.3338 | + | 14.6207i | −0.711488 | + | 0.567392i | ||||
\(665\) | −0.538481 | + | 1.86911i | −0.0208814 | + | 0.0724810i | ||||
\(666\) | 8.32253 | + | 4.90933i | 0.322491 | + | 0.190233i | ||||
\(667\) | 42.4654 | + | 14.8593i | 1.64427 | + | 0.575354i | ||||
\(668\) | −0.892345 | − | 1.05675i | −0.0345259 | − | 0.0408868i | ||||
\(669\) | −9.27930 | + | 0.782700i | −0.358758 | + | 0.0302609i | ||||
\(670\) | 6.65100 | + | 8.83763i | 0.256951 | + | 0.341428i | ||||
\(671\) | −2.00732 | − | 1.42427i | −0.0774918 | − | 0.0549834i | ||||
\(672\) | 0.222897 | − | 0.314144i | 0.00859844 | − | 0.0121184i | ||||
\(673\) | −7.18007 | + | 8.50291i | −0.276771 | + | 0.327763i | −0.884640 | − | 0.466274i | \(-0.845596\pi\) |
0.607869 | + | 0.794037i | \(0.292025\pi\) | |||||||
\(674\) | 33.3419 | − | 19.6679i | 1.28428 | − | 0.757579i | ||||
\(675\) | 25.4109 | − | 0.712961i | 0.978066 | − | 0.0274419i | ||||
\(676\) | 0.253479 | + | 0.724402i | 0.00974920 | + | 0.0278616i | ||||
\(677\) | −27.0164 | − | 2.27880i | −1.03832 | − | 0.0875816i | −0.447420 | − | 0.894324i | \(-0.647657\pi\) |
−0.590903 | + | 0.806742i | \(0.701229\pi\) | |||||||
\(678\) | −11.3879 | + | 1.93489i | −0.437351 | + | 0.0743090i | ||||
\(679\) | 3.10964 | − | 3.89937i | 0.119337 | − | 0.149644i | ||||
\(680\) | −3.93790 | + | 6.24628i | −0.151012 | + | 0.239534i | ||||
\(681\) | 6.22786 | 0.238652 | ||||||||
\(682\) | −12.2045 | + | 5.05529i | −0.467336 | + | 0.193577i | ||||
\(683\) | 31.6019 | − | 33.4264i | 1.20921 | − | 1.27903i | 0.259560 | − | 0.965727i | \(-0.416422\pi\) |
0.949654 | − | 0.313301i | \(-0.101435\pi\) | |||||||
\(684\) | 0.0575232 | − | 0.510533i | 0.00219945 | − | 0.0195207i | ||||
\(685\) | 1.24295 | + | 4.81854i | 0.0474909 | + | 0.184107i | ||||
\(686\) | 11.3763 | − | 6.71071i | 0.434349 | − | 0.256216i | ||||
\(687\) | −12.6269 | + | 2.51165i | −0.481747 | + | 0.0958254i | ||||
\(688\) | 24.5613 | − | 11.7875i | 0.936391 | − | 0.449395i | ||||
\(689\) | −0.930378 | + | 2.24613i | −0.0354446 | + | 0.0855708i | ||||
\(690\) | 1.34959 | − | 5.23195i | 0.0513782 | − | 0.199177i | ||||
\(691\) | 6.66105 | − | 47.1824i | 0.253398 | − | 1.79490i | −0.291676 | − | 0.956517i | \(-0.594213\pi\) |
0.545075 | − | 0.838387i | \(-0.316501\pi\) | |||||||
\(692\) | −0.209794 | − | 0.406096i | −0.00797517 | − | 0.0154374i | ||||
\(693\) | −4.38246 | − | 2.75368i | −0.166476 | − | 0.104604i | ||||
\(694\) | −17.3978 | + | 11.6248i | −0.660410 | + | 0.441272i | ||||
\(695\) | −1.76082 | − | 4.25099i | −0.0667916 | − | 0.161249i | ||||
\(696\) | 7.49311 | + | 32.8295i | 0.284026 | + | 1.24440i | ||||
\(697\) | 1.63992 | − | 2.05007i | 0.0621163 | − | 0.0776518i | ||||
\(698\) | 4.53217 | − | 19.8567i | 0.171545 | − | 0.751589i | ||||
\(699\) | −3.20640 | − | 0.923748i | −0.121277 | − | 0.0349394i | ||||
\(700\) | 0.247032 | − | 0.0348751i | 0.00933692 | − | 0.00131815i | ||||
\(701\) | 15.7172 | + | 9.87579i | 0.593631 | + | 0.373003i | 0.795088 | − | 0.606494i | \(-0.207425\pi\) |
−0.201457 | + | 0.979497i | \(0.564567\pi\) | |||||||
\(702\) | 8.96484 | − | 11.9122i | 0.338356 | − | 0.449596i | ||||
\(703\) | 20.6965 | − | 1.74573i | 0.780582 | − | 0.0658413i | ||||
\(704\) | −40.8210 | − | 1.14533i | −1.53850 | − | 0.0431661i | ||||
\(705\) | −1.42658 | + | 2.01058i | −0.0537283 | + | 0.0757229i | ||||
\(706\) | −31.2463 | + | 1.75475i | −1.17597 | + | 0.0660410i | ||||
\(707\) | −3.49016 | + | 4.13318i | −0.131261 | + | 0.155444i | ||||
\(708\) | 0.357187 | + | 1.12066i | 0.0134239 | + | 0.0421171i | ||||
\(709\) | 1.64844 | − | 0.425219i | 0.0619084 | − | 0.0159694i | −0.218695 | − | 0.975793i | \(-0.570180\pi\) |
0.280603 | + | 0.959824i | \(0.409466\pi\) | |||||||
\(710\) | −0.626120 | + | 1.78935i | −0.0234979 | + | 0.0671530i | ||||
\(711\) | 0.216359 | − | 2.56504i | 0.00811409 | − | 0.0961966i | ||||
\(712\) | −36.6521 | − | 20.2569i | −1.37359 | − | 0.759159i | ||||
\(713\) | 3.44642 | + | 7.15656i | 0.129069 | + | 0.268015i | ||||
\(714\) | 3.66134 | − | 3.45109i | 0.137022 | − | 0.129154i | ||||
\(715\) | −6.26905 | − | 1.43087i | −0.234449 | − | 0.0535115i | ||||
\(716\) | −0.392122 | − | 0.216718i | −0.0146543 | − | 0.00809914i | ||||
\(717\) | −19.5714 | + | 2.76302i | −0.730907 | + | 0.103187i | ||||
\(718\) | 11.1887 | − | 17.8067i | 0.417558 | − | 0.664539i | ||||
\(719\) | −23.9130 | + | 31.7747i | −0.891803 | + | 1.18500i | 0.0901609 | + | 0.995927i | \(0.471262\pi\) |
−0.981963 | + | 0.189071i | \(0.939452\pi\) | |||||||
\(720\) | −3.67277 | + | 1.17062i | −0.136876 | + | 0.0436263i | ||||
\(721\) | 0.0639560 | − | 2.27948i | 0.00238184 | − | 0.0848922i | ||||
\(722\) | −0.543833 | − | 0.983992i | −0.0202394 | − | 0.0366204i | ||||
\(723\) | −14.5539 | − | 2.47280i | −0.541264 | − | 0.0919645i | ||||
\(724\) | 2.02959 | − | 0.403711i | 0.0754291 | − | 0.0150038i | ||||
\(725\) | −24.7424 | + | 37.0297i | −0.918911 | + | 1.37525i | ||||
\(726\) | 0.884684 | + | 31.5313i | 0.0328337 | + | 1.17024i | ||||
\(727\) | −0.926319 | − | 0.104371i | −0.0343553 | − | 0.00387091i | 0.0947701 | − | 0.995499i | \(-0.469788\pi\) |
−0.129125 | + | 0.991628i | \(0.541217\pi\) | |||||||
\(728\) | −1.77181 | + | 3.00365i | −0.0656677 | + | 0.111323i | ||||
\(729\) | 24.5742 | + | 1.38006i | 0.910155 | + | 0.0511132i | ||||
\(730\) | −5.41045 | −0.200250 | ||||||||
\(731\) | 26.1991 | − | 6.67869i | 0.969010 | − | 0.247020i | ||||
\(732\) | 0.0464752 | 0.00171777 | ||||||||
\(733\) | −39.7514 | − | 2.23239i | −1.46825 | − | 0.0824553i | −0.696124 | − | 0.717922i | \(-0.745094\pi\) |
−0.772129 | + | 0.635466i | \(0.780808\pi\) | |||||||
\(734\) | 15.9386 | − | 27.0199i | 0.588305 | − | 0.997321i | ||||
\(735\) | 5.26211 | + | 0.592898i | 0.194096 | + | 0.0218694i | ||||
\(736\) | −0.0591013 | − | 2.10645i | −0.00217850 | − | 0.0776447i | ||||
\(737\) | −35.1472 | + | 52.6016i | −1.29467 | + | 1.93760i | ||||
\(738\) | 1.29208 | − | 0.257012i | 0.0475623 | − | 0.00946073i | ||||
\(739\) | 18.0755 | + | 3.07116i | 0.664919 | + | 0.112974i | 0.490154 | − | 0.871636i | \(-0.336941\pi\) |
0.174765 | + | 0.984610i | \(0.444083\pi\) | |||||||
\(740\) | 0.117678 | + | 0.212923i | 0.00432595 | + | 0.00782721i | ||||
\(741\) | 0.290734 | − | 10.3622i | 0.0106804 | − | 0.380663i | ||||
\(742\) | −1.21273 | + | 0.386532i | −0.0445207 | + | 0.0141900i | ||||
\(743\) | 15.4793 | − | 20.5683i | 0.567879 | − | 0.754579i | −0.420383 | − | 0.907347i | \(-0.638104\pi\) |
0.988262 | + | 0.152767i | \(0.0488186\pi\) | |||||||
\(744\) | −3.16306 | + | 5.03398i | −0.115963 | + | 0.184555i | ||||
\(745\) | −3.03354 | + | 0.428265i | −0.111140 | + | 0.0156904i | ||||
\(746\) | −31.7506 | − | 17.5479i | −1.16247 | − | 0.642475i | ||||
\(747\) | −11.8446 | − | 2.70346i | −0.433372 | − | 0.0989143i | ||||
\(748\) | 1.72695 | + | 0.396896i | 0.0631434 | + | 0.0145119i | ||||
\(749\) | −2.64296 | − | 5.48816i | −0.0965717 | − | 0.200533i | ||||
\(750\) | 9.78991 | + | 5.41069i | 0.357477 | + | 0.197571i | ||||
\(751\) | 0.391911 | − | 4.64630i | 0.0143010 | − | 0.169546i | −0.985698 | − | 0.168519i | \(-0.946102\pi\) |
0.999999 | − | 0.00102717i | \(-0.000326958\pi\) | |||||||
\(752\) | −4.17964 | + | 11.9447i | −0.152416 | + | 0.435580i | ||||
\(753\) | 7.62863 | − | 1.96783i | 0.278003 | − | 0.0717115i | ||||
\(754\) | 7.93164 | + | 24.8852i | 0.288853 | + | 0.906267i | ||||
\(755\) | 4.79486 | − | 5.67826i | 0.174503 | − | 0.206653i | ||||
\(756\) | 0.301656 | − | 0.0169406i | 0.0109711 | − | 0.000616125i | ||||
\(757\) | −9.75114 | + | 13.7429i | −0.354411 | + | 0.499496i | −0.953585 | − | 0.301123i | \(-0.902639\pi\) |
0.599174 | + | 0.800619i | \(0.295496\pi\) | |||||||
\(758\) | −45.6279 | − | 1.28020i | −1.65728 | − | 0.0464988i | ||||
\(759\) | 30.7951 | − | 2.59753i | 1.11779 | − | 0.0942845i | ||||
\(760\) | −4.78935 | + | 6.36393i | −0.173728 | + | 0.230844i | ||||
\(761\) | −16.7574 | − | 10.5294i | −0.607454 | − | 0.381689i | 0.192898 | − | 0.981219i | \(-0.438211\pi\) |
−0.800352 | + | 0.599530i | \(0.795354\pi\) | |||||||
\(762\) | −28.8853 | + | 4.07793i | −1.04640 | + | 0.147728i | ||||
\(763\) | 3.91530 | + | 1.12798i | 0.141744 | + | 0.0408356i | ||||
\(764\) | 0.418421 | − | 1.83322i | 0.0151380 | − | 0.0663237i | ||||
\(765\) | −3.80219 | + | 0.422619i | −0.137469 | + | 0.0152798i | ||||
\(766\) | −4.44624 | − | 19.4803i | −0.160649 | − | 0.703850i | ||||
\(767\) | −8.32123 | − | 20.0892i | −0.300462 | − | 0.725380i | ||||
\(768\) | 2.00760 | − | 1.34143i | 0.0724429 | − | 0.0484048i | ||||
\(769\) | 5.23335 | + | 3.28833i | 0.188720 | + | 0.118580i | 0.623078 | − | 0.782160i | \(-0.285882\pi\) |
−0.434358 | + | 0.900740i | \(0.643025\pi\) | |||||||
\(770\) | −1.54518 | − | 2.99098i | −0.0556844 | − | 0.107788i | ||||
\(771\) | −0.138928 | + | 0.984076i | −0.00500339 | + | 0.0354406i | ||||
\(772\) | 0.542293 | − | 2.10230i | 0.0195175 | − | 0.0756633i | ||||
\(773\) | −17.3712 | + | 41.9378i | −0.624799 | + | 1.50840i | 0.221208 | + | 0.975227i | \(0.429000\pi\) |
−0.846007 | + | 0.533172i | \(0.821000\pi\) | |||||||
\(774\) | 12.2160 | + | 5.90312i | 0.439094 | + | 0.212183i | ||||
\(775\) | −7.71180 | + | 1.53397i | −0.277016 | + | 0.0551019i | ||||
\(776\) | 17.5900 | − | 10.3761i | 0.631444 | − | 0.372479i | ||||
\(777\) | 0.986872 | + | 3.82579i | 0.0354038 | + | 0.137249i | ||||
\(778\) | 0.749854 | − | 6.65513i | 0.0268836 | − | 0.238598i | ||||
\(779\) | 1.94542 | − | 2.05774i | 0.0697019 | − | 0.0737261i | ||||
\(780\) | 0.112177 | − | 0.0464653i | 0.00401659 | − | 0.00166373i | ||||
\(781\) | −10.8429 | −0.387989 | ||||||||
\(782\) | 4.65154 | − | 27.1300i | 0.166339 | − | 0.970168i | ||||
\(783\) | −33.6272 | + | 42.1671i | −1.20174 | + | 1.50693i | ||||
\(784\) | 26.7986 | − | 4.55327i | 0.957093 | − | 0.162617i | ||||
\(785\) | 10.3832 | + | 0.875813i | 0.370592 | + | 0.0312591i | ||||
\(786\) | 0.619812 | + | 1.77132i | 0.0221079 | + | 0.0631809i | ||||
\(787\) | 23.1268 | − | 0.648876i | 0.824382 | − | 0.0231299i | 0.386640 | − | 0.922231i | \(-0.373636\pi\) |
0.437742 | + | 0.899101i | \(0.355778\pi\) | |||||||
\(788\) | −0.974795 | + | 0.575017i | −0.0347256 | + | 0.0204841i | ||||
\(789\) | 10.8393 | − | 12.8363i | 0.385888 | − | 0.456983i | ||||
\(790\) | 0.968887 | − | 1.36552i | 0.0344714 | − | 0.0485829i | ||||
\(791\) | 3.52940 | + | 2.50425i | 0.125491 | + | 0.0890407i | ||||
\(792\) | −12.7439 | − | 16.9337i | −0.452836 | − | 0.601714i | ||||
\(793\) | −0.856139 | + | 0.0722145i | −0.0304024 | + | 0.00256441i | ||||
\(794\) | 21.1697 | + | 25.0700i | 0.751284 | + | 0.889700i | ||||
\(795\) | −0.997000 | − | 0.348865i | −0.0353599 | − | 0.0123730i | ||||
\(796\) | −1.58762 | − | 0.936512i | −0.0562716 | − | 0.0331938i | ||||
\(797\) | 5.49912 | − | 19.0879i | 0.194789 | − | 0.676127i | −0.802092 | − | 0.597201i | \(-0.796280\pi\) |
0.996880 | − | 0.0789259i | \(-0.0251491\pi\) | |||||||
\(798\) | 4.24315 | − | 3.38380i | 0.150206 | − | 0.119785i | ||||
\(799\) | −6.39717 | + | 10.8076i | −0.226316 | + | 0.382346i | ||||
\(800\) | 2.03367 | + | 0.464173i | 0.0719012 | + | 0.0164110i | ||||
\(801\) | −3.63430 | − | 21.3900i | −0.128412 | − | 0.755778i | ||||
\(802\) | 30.7569 | + | 9.80310i | 1.08606 | + | 0.346160i | ||||
\(803\) | −10.2208 | − | 29.2093i | −0.360683 | − | 1.03077i | ||||
\(804\) | −0.0335033 | − | 1.19410i | −0.00118157 | − | 0.0421127i | ||||
\(805\) | −1.74354 | + | 1.02849i | −0.0614518 | + | 0.0362495i | ||||
\(806\) | −2.11653 | + | 4.09695i | −0.0745517 | + | 0.144309i | ||||
\(807\) | −3.78818 | − | 2.68786i | −0.133350 | − | 0.0946170i | ||||
\(808\) | −19.3871 | + | 10.7149i | −0.682036 | + | 0.376948i | ||||
\(809\) | 3.75348 | + | 8.38821i | 0.131965 | + | 0.294914i | 0.966777 | − | 0.255622i | \(-0.0822804\pi\) |
−0.834811 | + | 0.550536i | \(0.814423\pi\) | |||||||
\(810\) | 2.04736 | + | 1.36800i | 0.0719369 | + | 0.0480667i | ||||
\(811\) | 0.347169 | − | 1.74534i | 0.0121907 | − | 0.0612870i | −0.974211 | − | 0.225639i | \(-0.927553\pi\) |
0.986402 | + | 0.164352i | \(0.0525532\pi\) | |||||||
\(812\) | −0.281609 | + | 0.448177i | −0.00988252 | + | 0.0157279i | ||||
\(813\) | −0.363573 | + | 1.14070i | −0.0127511 | + | 0.0400060i | ||||
\(814\) | −23.9536 | + | 26.8041i | −0.839572 | + | 0.939482i | ||||
\(815\) | 0.578032 | − | 1.20030i | 0.0202476 | − | 0.0420445i | ||||
\(816\) | 19.8141 | − | 8.17239i | 0.693631 | − | 0.286091i | ||||
\(817\) | 28.7581 | − | 4.84648i | 1.00612 | − | 0.169557i | ||||
\(818\) | 11.1981 | + | 27.0346i | 0.391533 | + | 0.945244i | ||||
\(819\) | −1.78902 | + | 0.252567i | −0.0625133 | + | 0.00882541i | ||||
\(820\) | 0.0313073 | + | 0.0109549i | 0.00109330 | + | 0.000382561i | ||||
\(821\) | 13.9517 | − | 7.20760i | 0.486916 | − | 0.251547i | −0.197955 | − | 0.980211i | \(-0.563430\pi\) |
0.684871 | + | 0.728664i | \(0.259859\pi\) | |||||||
\(822\) | 4.95151 | − | 12.9716i | 0.172704 | − | 0.452435i | ||||
\(823\) | −1.49694 | − | 7.52563i | −0.0521801 | − | 0.262327i | 0.945885 | − | 0.324501i | \(-0.105197\pi\) |
−0.998065 | + | 0.0621744i | \(0.980197\pi\) | |||||||
\(824\) | 3.57330 | − | 8.62672i | 0.124482 | − | 0.300526i | ||||
\(825\) | −5.12435 | + | 30.1597i | −0.178407 | + | 1.05003i | ||||
\(826\) | 5.22513 | − | 10.1142i | 0.181806 | − | 0.351919i | ||||
\(827\) | −23.8880 | + | 22.5841i | −0.830666 | + | 0.785326i | −0.979053 | − | 0.203604i | \(-0.934735\pi\) |
0.148387 | + | 0.988929i | \(0.452592\pi\) | |||||||
\(828\) | 0.408508 | − | 0.344954i | 0.0141966 | − | 0.0119880i | ||||
\(829\) | −41.4566 | + | 14.5063i | −1.43985 | + | 0.503824i | −0.933523 | − | 0.358518i | \(-0.883282\pi\) |
−0.506325 | + | 0.862343i | \(0.668996\pi\) | |||||||
\(830\) | −5.74231 | − | 5.42888i | −0.199319 | − | 0.188439i | ||||
\(831\) | 13.8717 | + | 0.779016i | 0.481203 | + | 0.0270238i | ||||
\(832\) | −11.1453 | + | 8.88806i | −0.386393 | + | 0.308138i | ||||
\(833\) | 26.9650 | + | 0.797120i | 0.934280 | + | 0.0276186i | ||||
\(834\) | −2.85675 | + | 12.5162i | −0.0989210 | + | 0.433401i | ||||
\(835\) | −7.40249 | + | 8.28339i | −0.256174 | + | 0.286659i | ||||
\(836\) | 1.82108 | + | 0.580430i | 0.0629834 | + | 0.0200746i | ||||
\(837\) | −9.46236 | + | 1.06615i | −0.327067 | + | 0.0368516i | ||||
\(838\) | −1.90779 | − | 7.39588i | −0.0659034 | − | 0.255487i | ||||
\(839\) | −49.5115 | − | 6.98986i | −1.70933 | − | 0.241317i | −0.784073 | − | 0.620668i | \(-0.786861\pi\) |
−0.925253 | + | 0.379352i | \(0.876147\pi\) | |||||||
\(840\) | −1.34610 | − | 0.695411i | −0.0464448 | − | 0.0239940i | ||||
\(841\) | −18.1292 | − | 62.9278i | −0.625145 | − | 2.16993i | ||||
\(842\) | 1.81832 | + | 32.3781i | 0.0626633 | + | 1.11582i | ||||
\(843\) | 13.2744 | + | 0.372443i | 0.457193 | + | 0.0128276i | ||||
\(844\) | −1.37993 | − | 1.45960i | −0.0474993 | − | 0.0502416i | ||||
\(845\) | 5.47662 | − | 2.82929i | 0.188401 | − | 0.0973304i | ||||
\(846\) | −5.94860 | + | 2.08151i | −0.204517 | + | 0.0715636i | ||||
\(847\) | 8.11873 | − | 8.58746i | 0.278963 | − | 0.295069i | ||||
\(848\) | −5.41360 | − | 0.304021i | −0.185904 | − | 0.0104401i | ||||
\(849\) | −13.0132 | + | 16.3180i | −0.446611 | + | 0.560033i | ||||
\(850\) | 24.8544 | + | 11.1665i | 0.852500 | + | 0.383008i | ||||
\(851\) | 16.8994 | + | 13.4768i | 0.579305 | + | 0.461980i | ||||
\(852\) | 0.166979 | − | 0.118478i | 0.00572061 | − | 0.00405899i | ||||
\(853\) | 18.6660 | + | 27.9356i | 0.639112 | + | 0.956498i | 0.999717 | + | 0.0237798i | \(0.00757007\pi\) |
−0.360606 | + | 0.932718i | \(0.617430\pi\) | |||||||
\(854\) | −0.318070 | − | 0.318070i | −0.0108841 | − | 0.0108841i | ||||
\(855\) | −4.12489 | + | 0.115733i | −0.141068 | + | 0.00395799i | ||||
\(856\) | −2.09644 | − | 24.8543i | −0.0716547 | − | 0.849503i | ||||
\(857\) | 10.9477 | + | 14.5470i | 0.373968 | + | 0.496916i | 0.946383 | − | 0.323048i | \(-0.104708\pi\) |
−0.572415 | + | 0.819964i | \(0.693993\pi\) | |||||||
\(858\) | 11.9552 | + | 13.3778i | 0.408143 | + | 0.456712i | ||||
\(859\) | 15.5282 | + | 6.43197i | 0.529814 | + | 0.219456i | 0.631522 | − | 0.775358i | \(-0.282431\pi\) |
−0.101708 | + | 0.994814i | \(0.532431\pi\) | |||||||
\(860\) | 0.189398 | + | 0.284279i | 0.00645841 | + | 0.00969384i | ||||
\(861\) | 0.447897 | + | 0.299275i | 0.0152643 | + | 0.0101993i | ||||
\(862\) | −22.7419 | + | 30.2187i | −0.774592 | + | 1.02925i | ||||
\(863\) | 13.3057 | − | 38.0256i | 0.452932 | − | 1.29441i | −0.460588 | − | 0.887614i | \(-0.652361\pi\) |
0.913521 | − | 0.406793i | \(-0.133353\pi\) | |||||||
\(864\) | 2.40689 | + | 0.767145i | 0.0818841 | + | 0.0260988i | ||||
\(865\) | −2.99415 | + | 2.12447i | −0.101804 | + | 0.0722340i | ||||
\(866\) | − | 55.1073i | − | 1.87262i | ||||||
\(867\) | 20.8746 | − | 4.08702i | 0.708937 | − | 0.138803i | ||||
\(868\) | −0.0911084 | + | 0.0207949i | −0.00309242 | + | 0.000705825i | ||||
\(869\) | 9.20229 | + | 2.65113i | 0.312166 | + | 0.0899336i | ||||
\(870\) | −10.6016 | + | 4.04684i | −0.359428 | + | 0.137201i | ||||
\(871\) | 2.47261 | + | 21.9450i | 0.0837812 | + | 0.743579i | ||||
\(872\) | 13.3308 | + | 10.0325i | 0.451438 | + | 0.339742i | ||||
\(873\) | 9.88503 | + | 3.77332i | 0.334558 | + | 0.127707i | ||||
\(874\) | 7.41611 | − | 28.7499i | 0.250854 | − | 0.972479i | ||||
\(875\) | −1.16012 | − | 4.02685i | −0.0392191 | − | 0.136132i | ||||
\(876\) | 0.476561 | + | 0.338138i | 0.0161015 | + | 0.0114246i | ||||
\(877\) | 0.0524109 | − | 1.86799i | 0.00176979 | − | 0.0630777i | −0.998224 | − | 0.0595711i | \(-0.981027\pi\) |
0.999994 | − | 0.00350655i | \(-0.00111617\pi\) | |||||||
\(878\) | −0.00433049 | + | 0.0306743i | −0.000146147 | + | 0.00103521i | ||||
\(879\) | −32.5652 | + | 16.8236i | −1.09840 | + | 0.567445i | ||||
\(880\) | −1.60568 | − | 14.2508i | −0.0541275 | − | 0.480395i | ||||
\(881\) | −5.28282 | + | 8.95568i | −0.177983 | + | 0.301724i | −0.936989 | − | 0.349359i | \(-0.886399\pi\) |
0.759006 | + | 0.651083i | \(0.225685\pi\) | |||||||
\(882\) | 10.0939 | + | 9.02050i | 0.339881 | + | 0.303736i | ||||
\(883\) | 17.9542 | + | 14.3180i | 0.604205 | + | 0.481838i | 0.877166 | − | 0.480188i | \(-0.159431\pi\) |
−0.272960 | + | 0.962025i | \(0.588003\pi\) | |||||||
\(884\) | 0.549980 | − | 0.283080i | 0.0184978 | − | 0.00952101i | ||||
\(885\) | 8.51167 | − | 4.09900i | 0.286117 | − | 0.137787i | ||||
\(886\) | −0.503014 | − | 2.96053i | −0.0168991 | − | 0.0994610i | ||||
\(887\) | 1.00632 | + | 2.63628i | 0.0337890 | + | 0.0885176i | 0.950094 | − | 0.311962i | \(-0.100986\pi\) |
−0.916306 | + | 0.400480i | \(0.868843\pi\) | |||||||
\(888\) | −1.81140 | + | 16.0766i | −0.0607865 | + | 0.539495i | ||||
\(889\) | 8.73242 | + | 6.57182i | 0.292876 | + | 0.220412i | ||||
\(890\) | 5.03274 | − | 13.1844i | 0.168698 | − | 0.441941i | ||||
\(891\) | −3.51777 | + | 13.6373i | −0.117850 | + | 0.456866i | ||||
\(892\) | −0.289927 | − | 0.524583i | −0.00970747 | − | 0.0175643i | ||||
\(893\) | −7.83917 | + | 11.0483i | −0.262328 | + | 0.369716i | ||||
\(894\) | 7.59439 | + | 3.92335i | 0.253994 | + | 0.131217i | ||||
\(895\) | −1.28331 | + | 3.36190i | −0.0428962 | + | 0.112376i | ||||
\(896\) | −7.92377 | − | 1.57614i | −0.264715 | − | 0.0526550i | ||||
\(897\) | 7.62832 | − | 7.62832i | 0.254702 | − | 0.254702i | ||||
\(898\) | 9.37713 | + | 8.86530i | 0.312919 | + | 0.295839i | ||||
\(899\) | 8.06946 | − | 14.6006i | 0.269132 | − | 0.486957i | ||||
\(900\) | 0.229639 | + | 0.476851i | 0.00765464 | + | 0.0158950i | ||||
\(901\) | −5.20846 | − | 1.35189i | −0.173519 | − | 0.0450379i | ||||
\(902\) | 4.90109i | 0.163188i | ||||||||
\(903\) | 1.82527 | + | 5.23886i | 0.0607410 | + | 0.174338i | ||||
\(904\) | 9.84482 | + | 14.7338i | 0.327434 | + | 0.490040i | ||||
\(905\) | −5.48954 | − | 15.6882i | −0.182478 | − | 0.521493i | ||||
\(906\) | −20.0788 | + | 5.17939i | −0.667074 | + | 0.172074i | ||||
\(907\) | −5.75014 | + | 0.485019i | −0.190930 | + | 0.0161048i | −0.179129 | − | 0.983826i | \(-0.557328\pi\) |
−0.0118013 | + | 0.999930i | \(0.503757\pi\) | |||||||
\(908\) | 0.163724 | + | 0.365887i | 0.00543337 | + | 0.0121424i | ||||
\(909\) | −10.6028 | − | 4.39182i | −0.351672 | − | 0.145667i | ||||
\(910\) | −1.08573 | − | 0.449724i | −0.0359916 | − | 0.0149082i | ||||
\(911\) | −14.6114 | + | 6.53817i | −0.484097 | + | 0.216619i | −0.635870 | − | 0.771796i | \(-0.719359\pi\) |
0.151774 | + | 0.988415i | \(0.451502\pi\) | |||||||
\(912\) | 22.0273 | − | 7.02074i | 0.729397 | − | 0.232480i | ||||
\(913\) | 18.4611 | − | 41.2565i | 0.610973 | − | 1.36539i | ||||
\(914\) | −2.60609 | + | 0.293636i | −0.0862019 | + | 0.00971262i | ||||
\(915\) | −0.0521817 | − | 0.369620i | −0.00172507 | − | 0.0122193i | ||||
\(916\) | −0.479508 | − | 0.675804i | −0.0158434 | − | 0.0223292i | ||||
\(917\) | 0.305051 | − | 0.633444i | 0.0100737 | − | 0.0209182i | ||||
\(918\) | 28.8565 | + | 16.0051i | 0.952406 | + | 0.528246i | ||||
\(919\) | −3.71057 | + | 16.2571i | −0.122400 | + | 0.536271i | 0.876130 | + | 0.482075i | \(0.160117\pi\) |
−0.998530 | + | 0.0541962i | \(0.982740\pi\) | |||||||
\(920\) | −8.17176 | + | 1.38844i | −0.269415 | + | 0.0457755i | ||||
\(921\) | −5.70689 | + | 9.67457i | −0.188048 | + | 0.318788i | ||||
\(922\) | 6.73339 | − | 59.7605i | 0.221752 | − | 1.96811i | ||||
\(923\) | −2.89190 | + | 2.44199i | −0.0951880 | + | 0.0803791i | ||||
\(924\) | −0.0508264 | + | 0.360020i | −0.00167207 | + | 0.0118438i | ||||
\(925\) | −17.0961 | + | 12.8662i | −0.562117 | + | 0.423037i | ||||
\(926\) | −46.6388 | + | 25.7764i | −1.53265 | + | 0.847064i | ||||
\(927\) | 4.64865 | − | 1.33925i | 0.152682 | − | 0.0439868i | ||||
\(928\) | −3.53615 | + | 2.66123i | −0.116080 | + | 0.0873591i | ||||
\(929\) | −14.7935 | − | 15.6476i | −0.485359 | − | 0.513381i | 0.437133 | − | 0.899397i | \(-0.355994\pi\) |
−0.922492 | + | 0.386016i | \(0.873851\pi\) | |||||||
\(930\) | −1.82875 | − | 0.818313i | −0.0599671 | − | 0.0268335i | ||||
\(931\) | 28.9156 | + | 3.25801i | 0.947671 | + | 0.106777i | ||||
\(932\) | −0.0300227 | − | 0.212661i | −0.000983426 | − | 0.00696593i | ||||
\(933\) | 3.46598 | − | 2.45924i | 0.113471 | − | 0.0805120i | ||||
\(934\) | −10.5946 | + | 21.9999i | −0.346666 | + | 0.719860i | ||||
\(935\) | 1.21755 | − | 14.1802i | 0.0398180 | − | 0.463741i | ||||
\(936\) | −7.21267 | − | 1.64624i | −0.235753 | − | 0.0538092i | ||||
\(937\) | 1.55419 | − | 5.39471i | 0.0507732 | − | 0.176238i | −0.931482 | − | 0.363788i | \(-0.881483\pi\) |
0.982255 | + | 0.187550i | \(0.0600547\pi\) | |||||||
\(938\) | −7.94299 | + | 8.40158i | −0.259348 | + | 0.274321i | ||||
\(939\) | −15.5780 | + | 15.5780i | −0.508370 | + | 0.508370i | ||||
\(940\) | −0.155625 | − | 0.0309558i | −0.00507594 | − | 0.00100967i | ||||
\(941\) | 36.2317 | + | 13.8304i | 1.18112 | + | 0.450858i | 0.866895 | − | 0.498491i | \(-0.166112\pi\) |
0.314226 | + | 0.949348i | \(0.398255\pi\) | |||||||
\(942\) | −22.2132 | − | 18.7574i | −0.723746 | − | 0.611149i | ||||
\(943\) | 2.94237 | − | 0.165240i | 0.0958168 | − | 0.00538096i | ||||
\(944\) | 36.1600 | − | 32.3145i | 1.17691 | − | 1.05175i | ||||
\(945\) | −0.473425 | − | 2.38007i | −0.0154005 | − | 0.0774237i | ||||
\(946\) | −30.4055 | + | 40.2892i | −0.988570 | + | 1.30992i | ||||
\(947\) | 39.4873 | + | 7.85452i | 1.28317 | + | 0.255238i | 0.789142 | − | 0.614211i | \(-0.210526\pi\) |
0.494024 | + | 0.869448i | \(0.335526\pi\) | |||||||
\(948\) | −0.170682 | + | 0.0597243i | −0.00554350 | + | 0.00193975i | ||||
\(949\) | −9.30436 | − | 5.48850i | −0.302032 | − | 0.178164i | ||||
\(950\) | 25.7235 | + | 14.2169i | 0.834581 | + | 0.461256i | ||||
\(951\) | 6.01384 | + | 26.3484i | 0.195012 | + | 0.854404i | ||||
\(952\) | −7.12657 | − | 2.96448i | −0.230974 | − | 0.0960793i | ||||
\(953\) | 34.6944i | 1.12386i | 0.827184 | + | 0.561931i | \(0.189941\pi\) | ||||
−0.827184 | + | 0.561931i | \(0.810059\pi\) | |||||||
\(954\) | −1.56257 | − | 2.20224i | −0.0505901 | − | 0.0713001i | ||||
\(955\) | −15.0496 | − | 1.26942i | −0.486992 | − | 0.0410773i | ||||
\(956\) | −0.676840 | − | 1.07718i | −0.0218906 | − | 0.0348386i | ||||
\(957\) | −41.8748 | − | 49.5898i | −1.35362 | − | 1.60301i | ||||
\(958\) | 16.8187 | + | 28.5119i | 0.543389 | + | 0.921178i | ||||
\(959\) | −4.74807 | + | 2.12463i | −0.153323 | + | 0.0686078i | ||||
\(960\) | −4.12700 | − | 4.61812i | −0.133198 | − | 0.149049i | ||||
\(961\) | −26.9582 | + | 7.76654i | −0.869621 | + | 0.250533i | ||||
\(962\) | −0.351940 | + | 12.5436i | −0.0113470 | + | 0.404422i | ||||
\(963\) | 9.39038 | − | 8.87783i | 0.302601 | − | 0.286084i | ||||
\(964\) | −0.237329 | − | 0.920049i | −0.00764385 | − | 0.0296328i | ||||
\(965\) | −17.3286 | − | 1.95246i | −0.557827 | − | 0.0628520i | ||||
\(966\) | 5.62806 | + | 0.474721i | 0.181080 | + | 0.0152739i | ||||
\(967\) | −8.79452 | + | 9.84108i | −0.282813 | + | 0.316468i | −0.870066 | − | 0.492936i | \(-0.835924\pi\) |
0.587253 | + | 0.809404i | \(0.300209\pi\) | |||||||
\(968\) | 43.5980 | − | 20.9957i | 1.40129 | − | 0.674828i | ||||
\(969\) | 22.8035 | − | 2.53464i | 0.732555 | − | 0.0814244i | ||||
\(970\) | 4.29093 | + | 5.38066i | 0.137774 | + | 0.172763i | ||||
\(971\) | −0.125181 | − | 0.111869i | −0.00401726 | − | 0.00359005i | 0.664336 | − | 0.747434i | \(-0.268715\pi\) |
−0.668353 | + | 0.743844i | \(0.733000\pi\) | |||||||
\(972\) | 0.383219 | + | 1.00393i | 0.0122918 | + | 0.0322010i | ||||
\(973\) | 4.07251 | − | 2.55893i | 0.130559 | − | 0.0820355i | ||||
\(974\) | −0.0149929 | − | 0.0290216i | −0.000480404 | − | 0.000929912i | ||||
\(975\) | 5.42574 | + | 9.19796i | 0.173763 | + | 0.294571i | ||||
\(976\) | −0.782648 | − | 1.74905i | −0.0250520 | − | 0.0559856i | ||||
\(977\) | 27.5885 | + | 30.8716i | 0.882636 | + | 0.987670i | 0.999985 | − | 0.00542103i | \(-0.00172558\pi\) |
−0.117350 | + | 0.993091i | \(0.537440\pi\) | |||||||
\(978\) | −3.25330 | + | 1.79803i | −0.104029 | + | 0.0574948i | ||||
\(979\) | 80.6854 | + | 2.26381i | 2.57872 | + | 0.0723518i | ||||
\(980\) | 0.103503 | + | 0.324736i | 0.00330627 | + | 0.0103733i | ||||
\(981\) | 0.242431 | + | 8.64058i | 0.00774024 | + | 0.275873i | ||||
\(982\) | −5.45756 | − | 5.45756i | −0.174158 | − | 0.174158i | ||||
\(983\) | 12.5232 | + | 18.7423i | 0.399429 | + | 0.597788i | 0.975604 | − | 0.219539i | \(-0.0704553\pi\) |
−0.576175 | + | 0.817327i | \(0.695455\pi\) | |||||||
\(984\) | 1.27640 | + | 1.79892i | 0.0406902 | + | 0.0573475i | ||||
\(985\) | 5.66764 | + | 7.10699i | 0.180586 | + | 0.226448i | ||||
\(986\) | −52.1221 | + | 25.0043i | −1.65991 | + | 0.796298i | ||||
\(987\) | −2.32178 | − | 1.11811i | −0.0739031 | − | 0.0355899i | ||||
\(988\) | 0.616421 | − | 0.255330i | 0.0196110 | − | 0.00812312i | ||||
\(989\) | 25.2128 | + | 16.8956i | 0.801719 | + | 0.537250i | ||||
\(990\) | 5.05013 | − | 5.05013i | 0.160504 | − | 0.160504i | ||||
\(991\) | −14.2235 | − | 10.7043i | −0.451825 | − | 0.340033i | 0.350869 | − | 0.936425i | \(-0.385886\pi\) |
−0.802694 | + | 0.596391i | \(0.796601\pi\) | |||||||
\(992\) | −0.773698 | − | 0.109228i | −0.0245649 | − | 0.00346799i | ||||
\(993\) | 25.3023 | − | 29.9640i | 0.802945 | − | 0.950878i | ||||
\(994\) | −1.95363 | − | 0.331935i | −0.0619654 | − | 0.0105283i | ||||
\(995\) | −5.66559 | + | 13.6779i | −0.179611 | + | 0.433620i | ||||
\(996\) | 0.166502 | + | 0.837064i | 0.00527583 | + | 0.0265234i | ||||
\(997\) | −21.5376 | − | 8.22133i | −0.682102 | − | 0.260372i | −0.00904130 | − | 0.999959i | \(-0.502878\pi\) |
−0.673061 | + | 0.739587i | \(0.735021\pi\) | |||||||
\(998\) | 8.61966 | − | 7.27865i | 0.272850 | − | 0.230402i | ||||
\(999\) | −21.9404 | + | 13.7861i | −0.694164 | + | 0.436172i |
(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 | 731.2.bj.a.22.18 | ✓ | 3072 | |
17.7 | odd | 16 | inner | 731.2.bj.a.194.47 | yes | 3072 | |
43.2 | odd | 14 | inner | 731.2.bj.a.260.47 | yes | 3072 | |
731.432 | even | 112 | inner | 731.2.bj.a.432.18 | yes | 3072 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.bj.a.22.18 | ✓ | 3072 | 1.1 | even | 1 | trivial | |
731.2.bj.a.194.47 | yes | 3072 | 17.7 | odd | 16 | inner | |
731.2.bj.a.260.47 | yes | 3072 | 43.2 | odd | 14 | inner | |
731.2.bj.a.432.18 | yes | 3072 | 731.432 | even | 112 | inner |