Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(3,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(180))
chi = DirichletCharacter(H, H._module([63, 130]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bi (of order \(180\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(2400\) |
Relative dimension: | \(50\) over \(\Q(\zeta_{180})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{180}]$ |
Embedding invariants
Embedding label | 3.17 | ||
Character | \(\chi\) | \(=\) | 950.3 |
Dual form | 950.2.bi.a.317.17 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{7}{20}\right)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.974370 | − | 0.224951i | −0.688984 | − | 0.159064i | ||||
\(3\) | 1.03787 | − | 0.575301i | 0.599215 | − | 0.332150i | −0.155869 | − | 0.987778i | \(-0.549818\pi\) |
0.755085 | + | 0.655627i | \(0.227596\pi\) | |||||||
\(4\) | 0.898794 | + | 0.438371i | 0.449397 | + | 0.219186i | ||||
\(5\) | 0.253929 | + | 2.22160i | 0.113560 | + | 0.993531i | ||||
\(6\) | −1.14069 | + | 0.327086i | −0.465683 | + | 0.133532i | ||||
\(7\) | 4.09315 | + | 1.09676i | 1.54707 | + | 0.414535i | 0.928541 | − | 0.371231i | \(-0.121064\pi\) |
0.618524 | + | 0.785766i | \(0.287731\pi\) | |||||||
\(8\) | −0.777146 | − | 0.629320i | −0.274763 | − | 0.222498i | ||||
\(9\) | −0.843553 | + | 1.34997i | −0.281184 | + | 0.449989i | ||||
\(10\) | 0.252331 | − | 2.22179i | 0.0797942 | − | 0.702590i | ||||
\(11\) | −0.608607 | − | 0.675927i | −0.183502 | − | 0.203800i | 0.644374 | − | 0.764710i | \(-0.277118\pi\) |
−0.827876 | + | 0.560911i | \(0.810451\pi\) | |||||||
\(12\) | 1.18503 | − | 0.0621047i | 0.342088 | − | 0.0179281i | ||||
\(13\) | −1.92694 | − | 2.06639i | −0.534437 | − | 0.573114i | 0.405658 | − | 0.914025i | \(-0.367042\pi\) |
−0.940096 | + | 0.340911i | \(0.889265\pi\) | |||||||
\(14\) | −3.74153 | − | 1.98940i | −0.999965 | − | 0.531691i | ||||
\(15\) | 1.54164 | + | 2.15965i | 0.398049 | + | 0.557620i | ||||
\(16\) | 0.615661 | + | 0.788011i | 0.153915 | + | 0.197003i | ||||
\(17\) | 4.11289 | − | 3.57528i | 0.997523 | − | 0.867134i | 0.00638632 | − | 0.999980i | \(-0.497967\pi\) |
0.991137 | + | 0.132846i | \(0.0424116\pi\) | |||||||
\(18\) | 1.12561 | − | 1.12561i | 0.265309 | − | 0.265309i | ||||
\(19\) | 3.93032 | + | 1.88484i | 0.901677 | + | 0.432411i | ||||
\(20\) | −0.745657 | + | 2.10808i | −0.166734 | + | 0.471381i | ||||
\(21\) | 4.87913 | − | 1.21650i | 1.06471 | − | 0.265463i | ||||
\(22\) | 0.440958 | + | 0.795510i | 0.0940126 | + | 0.169603i | ||||
\(23\) | 2.65217 | + | 3.51955i | 0.553016 | + | 0.733877i | 0.985856 | − | 0.167593i | \(-0.0535996\pi\) |
−0.432840 | + | 0.901471i | \(0.642488\pi\) | |||||||
\(24\) | −1.16863 | − | 0.206060i | −0.238545 | − | 0.0420619i | ||||
\(25\) | −4.87104 | + | 1.12826i | −0.974208 | + | 0.225652i | ||||
\(26\) | 1.41272 | + | 2.44690i | 0.277057 | + | 0.479876i | ||||
\(27\) | −0.285176 | + | 5.44147i | −0.0548821 | + | 1.04721i | ||||
\(28\) | 3.19811 | + | 2.78008i | 0.604386 | + | 0.525385i | ||||
\(29\) | −1.98119 | + | 0.138538i | −0.367898 | + | 0.0257259i | −0.252509 | − | 0.967594i | \(-0.581256\pi\) |
−0.115389 | + | 0.993320i | \(0.536811\pi\) | |||||||
\(30\) | −1.01631 | − | 2.45109i | −0.185552 | − | 0.447506i | ||||
\(31\) | 1.16096 | − | 2.60756i | 0.208514 | − | 0.468331i | −0.778767 | − | 0.627313i | \(-0.784155\pi\) |
0.987281 | + | 0.158982i | \(0.0508213\pi\) | |||||||
\(32\) | −0.422618 | − | 0.906308i | −0.0747091 | − | 0.160214i | ||||
\(33\) | −1.02052 | − | 0.351392i | −0.177649 | − | 0.0611696i | ||||
\(34\) | −4.81174 | + | 2.55845i | −0.825207 | + | 0.438770i | ||||
\(35\) | −1.39719 | + | 9.37185i | −0.236168 | + | 1.58413i | ||||
\(36\) | −1.34997 | + | 0.843553i | −0.224994 | + | 0.140592i | ||||
\(37\) | 1.38038 | − | 2.70914i | 0.226933 | − | 0.445381i | −0.749263 | − | 0.662273i | \(-0.769592\pi\) |
0.976196 | + | 0.216892i | \(0.0695920\pi\) | |||||||
\(38\) | −3.40559 | − | 2.72066i | −0.552459 | − | 0.441349i | ||||
\(39\) | −3.18871 | − | 1.03608i | −0.510603 | − | 0.165905i | ||||
\(40\) | 1.20076 | − | 1.88631i | 0.189857 | − | 0.298252i | ||||
\(41\) | −6.56054 | + | 5.12566i | −1.02458 | + | 0.800494i | −0.980098 | − | 0.198516i | \(-0.936388\pi\) |
−0.0444874 | + | 0.999010i | \(0.514165\pi\) | |||||||
\(42\) | −5.02773 | + | 0.0877594i | −0.775796 | + | 0.0135416i | ||||
\(43\) | 0.503099 | − | 0.352274i | 0.0767219 | − | 0.0537212i | −0.534586 | − | 0.845114i | \(-0.679533\pi\) |
0.611308 | + | 0.791393i | \(0.290644\pi\) | |||||||
\(44\) | −0.250706 | − | 0.874315i | −0.0377953 | − | 0.131808i | ||||
\(45\) | −3.21329 | − | 1.53124i | −0.479009 | − | 0.228264i | ||||
\(46\) | −1.79247 | − | 4.02596i | −0.264285 | − | 0.593595i | ||||
\(47\) | −4.59006 | + | 5.28026i | −0.669529 | + | 0.770205i | −0.983827 | − | 0.179119i | \(-0.942675\pi\) |
0.314299 | + | 0.949324i | \(0.398231\pi\) | |||||||
\(48\) | 1.09232 | + | 0.463663i | 0.157663 | + | 0.0669240i | ||||
\(49\) | 9.48882 | + | 5.47837i | 1.35555 | + | 0.782625i | ||||
\(50\) | 5.00000 | − | 0.00359539i | 0.707107 | − | 0.000508465i | ||||
\(51\) | 2.21179 | − | 6.07684i | 0.309712 | − | 0.850927i | ||||
\(52\) | −0.826077 | − | 2.70198i | −0.114556 | − | 0.374697i | ||||
\(53\) | 2.60705 | + | 7.57142i | 0.358106 | + | 1.04001i | 0.968735 | + | 0.248098i | \(0.0798055\pi\) |
−0.610629 | + | 0.791917i | \(0.709083\pi\) | |||||||
\(54\) | 1.50193 | − | 5.23786i | 0.204387 | − | 0.712782i | ||||
\(55\) | 1.34710 | − | 1.52372i | 0.181643 | − | 0.205458i | ||||
\(56\) | −2.49076 | − | 3.42824i | −0.332842 | − | 0.458118i | ||||
\(57\) | 5.16351 | − | 0.304901i | 0.683924 | − | 0.0403851i | ||||
\(58\) | 1.96158 | + | 0.310683i | 0.257568 | + | 0.0407947i | ||||
\(59\) | −0.516378 | + | 1.27808i | −0.0672267 | + | 0.166392i | −0.957057 | − | 0.289900i | \(-0.906378\pi\) |
0.889830 | + | 0.456291i | \(0.150823\pi\) | |||||||
\(60\) | 0.438885 | + | 2.61689i | 0.0566598 | + | 0.337839i | ||||
\(61\) | 8.96838 | + | 1.26042i | 1.14828 | + | 0.161381i | 0.687536 | − | 0.726150i | \(-0.258692\pi\) |
0.460748 | + | 0.887531i | \(0.347581\pi\) | |||||||
\(62\) | −1.71778 | + | 2.27957i | −0.218158 | + | 0.289505i | ||||
\(63\) | −4.93337 | + | 4.60044i | −0.621546 | + | 0.579601i | ||||
\(64\) | 0.207912 | + | 0.978148i | 0.0259890 | + | 0.122268i | ||||
\(65\) | 4.10140 | − | 4.80561i | 0.508715 | − | 0.596063i | ||||
\(66\) | 0.915316 | + | 0.571953i | 0.112668 | + | 0.0704025i | ||||
\(67\) | −2.24354 | + | 1.34805i | −0.274092 | + | 0.164691i | −0.645458 | − | 0.763795i | \(-0.723334\pi\) |
0.371367 | + | 0.928486i | \(0.378889\pi\) | |||||||
\(68\) | 5.26394 | − | 1.41047i | 0.638347 | − | 0.171045i | ||||
\(69\) | 4.77742 | + | 2.12704i | 0.575133 | + | 0.256066i | ||||
\(70\) | 3.46959 | − | 8.81735i | 0.414695 | − | 1.05388i | ||||
\(71\) | −8.33710 | − | 8.63332i | −0.989432 | − | 1.02459i | −0.999696 | − | 0.0246395i | \(-0.992156\pi\) |
0.0102644 | − | 0.999947i | \(-0.496733\pi\) | |||||||
\(72\) | 1.50513 | − | 0.518256i | 0.177381 | − | 0.0610771i | ||||
\(73\) | 3.75567 | − | 4.02746i | 0.439568 | − | 0.471379i | −0.472552 | − | 0.881303i | \(-0.656667\pi\) |
0.912120 | + | 0.409924i | \(0.134445\pi\) | |||||||
\(74\) | −1.95442 | + | 2.32919i | −0.227197 | + | 0.270763i | ||||
\(75\) | −4.40642 | + | 3.97330i | −0.508810 | + | 0.458798i | ||||
\(76\) | 2.70629 | + | 3.41702i | 0.310433 | + | 0.391959i | ||||
\(77\) | −1.74979 | − | 3.43416i | −0.199407 | − | 0.391359i | ||||
\(78\) | 2.87392 | + | 1.72683i | 0.325408 | + | 0.195525i | ||||
\(79\) | 8.32514 | + | 2.38720i | 0.936652 | + | 0.268581i | 0.709038 | − | 0.705171i | \(-0.249130\pi\) |
0.227614 | + | 0.973751i | \(0.426907\pi\) | |||||||
\(80\) | −1.59431 | + | 1.56785i | −0.178250 | + | 0.175291i | ||||
\(81\) | 0.741047 | + | 1.51937i | 0.0823385 | + | 0.168819i | ||||
\(82\) | 7.54542 | − | 3.51849i | 0.833252 | − | 0.388552i | ||||
\(83\) | 3.62991 | + | 9.45623i | 0.398434 | + | 1.03796i | 0.975254 | + | 0.221085i | \(0.0709600\pi\) |
−0.576820 | + | 0.816871i | \(0.695707\pi\) | |||||||
\(84\) | 4.91861 | + | 1.04548i | 0.536664 | + | 0.114072i | ||||
\(85\) | 8.98724 | + | 8.22935i | 0.974803 | + | 0.892598i | ||||
\(86\) | −0.569449 | + | 0.230072i | −0.0614052 | + | 0.0248093i | ||||
\(87\) | −1.97652 | + | 1.28357i | −0.211905 | + | 0.137613i | ||||
\(88\) | 0.0476021 | + | 0.908303i | 0.00507440 | + | 0.0968254i | ||||
\(89\) | 9.51749 | − | 12.1818i | 1.00885 | − | 1.29127i | 0.0526342 | − | 0.998614i | \(-0.483238\pi\) |
0.956217 | − | 0.292657i | \(-0.0945395\pi\) | |||||||
\(90\) | 2.78648 | + | 2.21483i | 0.293721 | + | 0.233464i | ||||
\(91\) | −5.62093 | − | 10.5714i | −0.589234 | − | 1.10819i | ||||
\(92\) | 0.840887 | + | 4.32599i | 0.0876685 | + | 0.451015i | ||||
\(93\) | −0.295205 | − | 3.37421i | −0.0306113 | − | 0.349889i | ||||
\(94\) | 5.66021 | − | 4.11239i | 0.583807 | − | 0.424160i | ||||
\(95\) | −3.18934 | + | 9.21022i | −0.327219 | + | 0.944949i | ||||
\(96\) | −0.960024 | − | 0.697498i | −0.0979820 | − | 0.0711881i | ||||
\(97\) | −0.187921 | + | 0.312754i | −0.0190805 | + | 0.0317553i | −0.866561 | − | 0.499072i | \(-0.833674\pi\) |
0.847480 | + | 0.530827i | \(0.178119\pi\) | |||||||
\(98\) | −8.01326 | − | 7.47248i | −0.809461 | − | 0.754835i | ||||
\(99\) | 1.42587 | − | 0.251420i | 0.143305 | − | 0.0252686i | ||||
\(100\) | −4.87266 | − | 1.12125i | −0.487266 | − | 0.112125i | ||||
\(101\) | −16.6278 | − | 6.05203i | −1.65453 | − | 0.602200i | −0.665041 | − | 0.746807i | \(-0.731586\pi\) |
−0.989489 | + | 0.144607i | \(0.953808\pi\) | |||||||
\(102\) | −3.52209 | + | 5.42354i | −0.348739 | + | 0.537011i | ||||
\(103\) | 2.66232 | − | 6.93558i | 0.262326 | − | 0.683383i | −0.737640 | − | 0.675194i | \(-0.764060\pi\) |
0.999966 | − | 0.00818925i | \(-0.00260675\pi\) | |||||||
\(104\) | 0.197092 | + | 2.81855i | 0.0193265 | + | 0.276382i | ||||
\(105\) | 3.94154 | + | 10.5306i | 0.384655 | + | 1.02768i | ||||
\(106\) | −0.837032 | − | 7.96383i | −0.0812997 | − | 0.773515i | ||||
\(107\) | 1.10958 | − | 4.14100i | 0.107267 | − | 0.400325i | −0.891326 | − | 0.453364i | \(-0.850224\pi\) |
0.998592 | + | 0.0530383i | \(0.0168905\pi\) | |||||||
\(108\) | −2.64170 | + | 4.76575i | −0.254198 | + | 0.458585i | ||||
\(109\) | 11.8584 | − | 1.66659i | 1.13583 | − | 0.159630i | 0.453901 | − | 0.891052i | \(-0.350032\pi\) |
0.681925 | + | 0.731422i | \(0.261143\pi\) | |||||||
\(110\) | −1.65533 | + | 1.18164i | −0.157830 | + | 0.112665i | ||||
\(111\) | −0.125920 | − | 3.60588i | −0.0119518 | − | 0.342255i | ||||
\(112\) | 1.65574 | + | 3.90068i | 0.156453 | + | 0.368579i | ||||
\(113\) | −9.89709 | − | 5.04282i | −0.931039 | − | 0.474388i | −0.0784199 | − | 0.996920i | \(-0.524987\pi\) |
−0.852620 | + | 0.522532i | \(0.824987\pi\) | |||||||
\(114\) | −5.09976 | − | 0.864451i | −0.477636 | − | 0.0809633i | ||||
\(115\) | −7.14558 | + | 6.78579i | −0.666329 | + | 0.632778i | ||||
\(116\) | −1.84141 | − | 0.743980i | −0.170971 | − | 0.0690768i | ||||
\(117\) | 4.41504 | − | 0.858196i | 0.408170 | − | 0.0793402i | ||||
\(118\) | 0.790648 | − | 1.12916i | 0.0727851 | − | 0.103948i | ||||
\(119\) | 20.7559 | − | 10.1233i | 1.90269 | − | 0.928004i | ||||
\(120\) | 0.161036 | − | 2.64855i | 0.0147005 | − | 0.241778i | ||||
\(121\) | 1.06334 | − | 10.1170i | 0.0966672 | − | 0.919727i | ||||
\(122\) | −8.45499 | − | 3.24557i | −0.765479 | − | 0.293840i | ||||
\(123\) | −3.86020 | + | 9.09407i | −0.348063 | + | 0.819984i | ||||
\(124\) | 2.18654 | − | 1.83473i | 0.196357 | − | 0.164763i | ||||
\(125\) | −3.74344 | − | 10.5350i | −0.334823 | − | 0.942281i | ||||
\(126\) | 5.84180 | − | 3.37277i | 0.520429 | − | 0.300470i | ||||
\(127\) | −10.2456 | + | 1.25800i | −0.909151 | + | 0.111630i | −0.562912 | − | 0.826517i | \(-0.690319\pi\) |
−0.346239 | + | 0.938146i | \(0.612541\pi\) | |||||||
\(128\) | 0.0174524 | − | 0.999848i | 0.00154259 | − | 0.0883749i | ||||
\(129\) | 0.319488 | − | 0.655048i | 0.0281294 | − | 0.0576738i | ||||
\(130\) | −5.07731 | + | 3.75983i | −0.445309 | + | 0.329759i | ||||
\(131\) | 6.69848 | + | 0.468403i | 0.585249 | + | 0.0409246i | 0.359312 | − | 0.933217i | \(-0.383011\pi\) |
0.225937 | + | 0.974142i | \(0.427456\pi\) | |||||||
\(132\) | −0.763195 | − | 0.763195i | −0.0664276 | − | 0.0664276i | ||||
\(133\) | 14.0202 | + | 12.0255i | 1.21570 | + | 1.04274i | ||||
\(134\) | 2.48928 | − | 0.808816i | 0.215041 | − | 0.0698711i | ||||
\(135\) | −12.1612 | + | 0.748200i | −1.04667 | + | 0.0643948i | ||||
\(136\) | −5.44632 | + | 0.190190i | −0.467018 | + | 0.0163086i | ||||
\(137\) | −6.73415 | + | 22.0264i | −0.575337 | + | 1.88184i | −0.116832 | + | 0.993152i | \(0.537274\pi\) |
−0.458505 | + | 0.888692i | \(0.651615\pi\) | |||||||
\(138\) | −4.17649 | − | 3.14721i | −0.355527 | − | 0.267909i | ||||
\(139\) | 7.25015 | + | 5.66444i | 0.614950 | + | 0.480452i | 0.874335 | − | 0.485322i | \(-0.161298\pi\) |
−0.259385 | + | 0.965774i | \(0.583520\pi\) | |||||||
\(140\) | −5.36413 | + | 7.81088i | −0.453352 | + | 0.660140i | ||||
\(141\) | −1.72615 | + | 8.12090i | −0.145368 | + | 0.683903i | ||||
\(142\) | 6.18135 | + | 10.2875i | 0.518727 | + | 0.863307i | ||||
\(143\) | −0.223979 | + | 2.56009i | −0.0187301 | + | 0.214086i | ||||
\(144\) | −1.58313 | + | 0.166394i | −0.131928 | + | 0.0138661i | ||||
\(145\) | −0.810859 | − | 4.36624i | −0.0673382 | − | 0.362597i | ||||
\(146\) | −4.56539 | + | 3.07940i | −0.377835 | + | 0.254853i | ||||
\(147\) | 12.9999 | + | 0.226914i | 1.07221 | + | 0.0187155i | ||||
\(148\) | 2.42829 | − | 1.82985i | 0.199604 | − | 0.150412i | ||||
\(149\) | −4.75685 | − | 13.0693i | −0.389696 | − | 1.07068i | −0.967138 | − | 0.254251i | \(-0.918171\pi\) |
0.577442 | − | 0.816432i | \(-0.304051\pi\) | |||||||
\(150\) | 5.18729 | − | 2.88024i | 0.423540 | − | 0.235170i | ||||
\(151\) | − | 11.8488i | − | 0.964242i | −0.876105 | − | 0.482121i | \(-0.839867\pi\) | ||
0.876105 | − | 0.482121i | \(-0.160133\pi\) | |||||||
\(152\) | −1.86826 | − | 3.93822i | −0.151536 | − | 0.319432i | ||||
\(153\) | 1.35707 | + | 8.56821i | 0.109713 | + | 0.692698i | ||||
\(154\) | 0.932428 | + | 3.73976i | 0.0751372 | + | 0.301359i | ||||
\(155\) | 6.08776 | + | 1.91706i | 0.488980 | + | 0.153982i | ||||
\(156\) | −2.41181 | − | 2.32906i | −0.193100 | − | 0.186474i | ||||
\(157\) | 5.31006 | + | 7.58355i | 0.423789 | + | 0.605233i | 0.973100 | − | 0.230385i | \(-0.0739985\pi\) |
−0.549311 | + | 0.835618i | \(0.685110\pi\) | |||||||
\(158\) | −7.57477 | − | 4.19876i | −0.602616 | − | 0.334036i | ||||
\(159\) | 7.06163 | + | 6.35832i | 0.560024 | + | 0.504248i | ||||
\(160\) | 1.90614 | − | 1.16903i | 0.150694 | − | 0.0924198i | ||||
\(161\) | 6.99565 | + | 17.3148i | 0.551334 | + | 1.36460i | ||||
\(162\) | −0.380270 | − | 1.64713i | −0.0298768 | − | 0.129411i | ||||
\(163\) | 1.60386 | + | 2.46973i | 0.125624 | + | 0.193444i | 0.895887 | − | 0.444283i | \(-0.146541\pi\) |
−0.770262 | + | 0.637727i | \(0.779875\pi\) | |||||||
\(164\) | −8.14352 | + | 1.73096i | −0.635902 | + | 0.135165i | ||||
\(165\) | 0.521516 | − | 2.35641i | 0.0405999 | − | 0.183447i | ||||
\(166\) | −1.40968 | − | 10.0304i | −0.109413 | − | 0.778512i | ||||
\(167\) | −0.256932 | − | 14.7196i | −0.0198820 | − | 1.13904i | −0.831733 | − | 0.555175i | \(-0.812651\pi\) |
0.811851 | − | 0.583864i | \(-0.198460\pi\) | |||||||
\(168\) | −4.55736 | − | 2.12513i | −0.351608 | − | 0.163958i | ||||
\(169\) | 0.349963 | − | 5.00470i | 0.0269202 | − | 0.384977i | ||||
\(170\) | −6.90570 | − | 10.0401i | −0.529643 | − | 0.770042i | ||||
\(171\) | −5.85989 | + | 3.71584i | −0.448117 | + | 0.284157i | ||||
\(172\) | 0.606609 | − | 0.0960774i | 0.0462535 | − | 0.00732583i | ||||
\(173\) | −4.90270 | + | 21.2359i | −0.372746 | + | 1.61454i | 0.359258 | + | 0.933238i | \(0.383030\pi\) |
−0.732004 | + | 0.681301i | \(0.761415\pi\) | |||||||
\(174\) | 2.21460 | − | 0.806049i | 0.167889 | − | 0.0611064i | ||||
\(175\) | −21.1753 | − | 0.724214i | −1.60070 | − | 0.0547454i | ||||
\(176\) | 0.157942 | − | 0.895731i | 0.0119053 | − | 0.0675183i | ||||
\(177\) | 0.199348 | + | 1.62356i | 0.0149839 | + | 0.122034i | ||||
\(178\) | −12.0139 | + | 9.72864i | −0.900478 | + | 0.729192i | ||||
\(179\) | 10.7236 | − | 4.77447i | 0.801522 | − | 0.356861i | 0.0352513 | − | 0.999378i | \(-0.488777\pi\) |
0.766271 | + | 0.642518i | \(0.222110\pi\) | |||||||
\(180\) | −2.21683 | − | 2.78489i | −0.165233 | − | 0.207573i | ||||
\(181\) | −23.5232 | − | 5.86500i | −1.74847 | − | 0.435942i | −0.769282 | − | 0.638910i | \(-0.779386\pi\) |
−0.979185 | + | 0.202968i | \(0.934941\pi\) | |||||||
\(182\) | 3.09881 | + | 11.5649i | 0.229699 | + | 0.857249i | ||||
\(183\) | 10.0331 | − | 3.85136i | 0.741672 | − | 0.284701i | ||||
\(184\) | 0.153801 | − | 4.40427i | 0.0113383 | − | 0.324687i | ||||
\(185\) | 6.36916 | + | 2.37872i | 0.468270 | + | 0.174887i | ||||
\(186\) | −0.471393 | + | 3.35414i | −0.0345642 | + | 0.245937i | ||||
\(187\) | −4.91977 | − | 0.604071i | −0.359769 | − | 0.0441741i | ||||
\(188\) | −6.44023 | + | 2.73372i | −0.469702 | + | 0.199377i | ||||
\(189\) | −7.13523 | + | 21.9600i | −0.519012 | + | 1.59735i | ||||
\(190\) | 5.17944 | − | 8.25672i | 0.375756 | − | 0.599005i | ||||
\(191\) | −7.78429 | − | 23.9576i | −0.563252 | − | 1.73351i | −0.673090 | − | 0.739561i | \(-0.735033\pi\) |
0.109838 | − | 0.993949i | \(-0.464967\pi\) | |||||||
\(192\) | 0.778515 | + | 0.895579i | 0.0561845 | + | 0.0646329i | ||||
\(193\) | 10.2583 | − | 21.9991i | 0.738411 | − | 1.58353i | −0.0718210 | − | 0.997418i | \(-0.522881\pi\) |
0.810232 | − | 0.586110i | \(-0.199341\pi\) | |||||||
\(194\) | 0.253459 | − | 0.262465i | 0.0181973 | − | 0.0188439i | ||||
\(195\) | 1.49204 | − | 7.34715i | 0.106847 | − | 0.526140i | ||||
\(196\) | 6.12694 | + | 9.08356i | 0.437638 | + | 0.648825i | ||||
\(197\) | 9.93240 | + | 12.2655i | 0.707654 | + | 0.873880i | 0.996508 | − | 0.0834930i | \(-0.0266076\pi\) |
−0.288854 | + | 0.957373i | \(0.593274\pi\) | |||||||
\(198\) | −1.44588 | − | 0.0757755i | −0.102754 | − | 0.00538513i | ||||
\(199\) | −10.6986 | − | 12.7501i | −0.758403 | − | 0.903830i | 0.239343 | − | 0.970935i | \(-0.423068\pi\) |
−0.997746 | + | 0.0671055i | \(0.978624\pi\) | |||||||
\(200\) | 4.49555 | + | 2.18862i | 0.317883 | + | 0.154759i | ||||
\(201\) | −1.55297 | + | 2.68981i | −0.109538 | + | 0.189725i | ||||
\(202\) | 14.8402 | + | 9.63737i | 1.04416 | + | 0.678083i | ||||
\(203\) | −8.26125 | − | 1.60583i | −0.579826 | − | 0.112707i | ||||
\(204\) | 4.65185 | − | 4.49224i | 0.325695 | − | 0.314520i | ||||
\(205\) | −13.0531 | − | 13.2734i | −0.911668 | − | 0.927053i | ||||
\(206\) | −4.15425 | + | 6.15893i | −0.289440 | + | 0.429113i | ||||
\(207\) | −6.98853 | + | 0.611417i | −0.485736 | + | 0.0424964i | ||||
\(208\) | 0.441995 | − | 2.79065i | 0.0306469 | − | 0.193497i | ||||
\(209\) | −1.11801 | − | 3.80373i | −0.0773343 | − | 0.263110i | ||||
\(210\) | −1.47165 | − | 11.1473i | −0.101554 | − | 0.769239i | ||||
\(211\) | −2.05322 | − | 3.28583i | −0.141349 | − | 0.226206i | 0.769797 | − | 0.638288i | \(-0.220357\pi\) |
−0.911147 | + | 0.412082i | \(0.864802\pi\) | |||||||
\(212\) | −0.975892 | + | 7.94800i | −0.0670246 | + | 0.545871i | ||||
\(213\) | −13.6196 | − | 4.16393i | −0.933200 | − | 0.285308i | ||||
\(214\) | −2.01266 | + | 3.78526i | −0.137583 | + | 0.258755i | ||||
\(215\) | 0.910363 | + | 1.02823i | 0.0620863 | + | 0.0701249i | ||||
\(216\) | 3.64605 | − | 4.04935i | 0.248082 | − | 0.275524i | ||||
\(217\) | 7.61183 | − | 9.39983i | 0.516725 | − | 0.638102i | ||||
\(218\) | −11.9293 | − | 1.04368i | −0.807957 | − | 0.0706871i | ||||
\(219\) | 1.58090 | − | 6.34063i | 0.106827 | − | 0.428460i | ||||
\(220\) | 1.87872 | − | 0.778982i | 0.126663 | − | 0.0525190i | ||||
\(221\) | −15.3132 | − | 1.60949i | −1.03008 | − | 0.108266i | ||||
\(222\) | −0.688453 | + | 3.54178i | −0.0462059 | + | 0.237709i | ||||
\(223\) | −25.1066 | + | 7.67585i | −1.68126 | + | 0.514013i | −0.980018 | − | 0.198910i | \(-0.936260\pi\) |
−0.701243 | + | 0.712923i | \(0.747371\pi\) | |||||||
\(224\) | −0.735841 | − | 4.17316i | −0.0491655 | − | 0.278831i | ||||
\(225\) | 2.58587 | − | 7.52749i | 0.172391 | − | 0.501832i | ||||
\(226\) | 8.50904 | + | 7.13993i | 0.566013 | + | 0.474941i | ||||
\(227\) | 7.20155 | − | 3.66937i | 0.477984 | − | 0.243545i | −0.198362 | − | 0.980129i | \(-0.563562\pi\) |
0.676346 | + | 0.736584i | \(0.263562\pi\) | |||||||
\(228\) | 4.77459 | + | 1.98949i | 0.316205 | + | 0.131757i | ||||
\(229\) | −14.0632 | + | 19.3564i | −0.929324 | + | 1.27910i | 0.0307988 | + | 0.999526i | \(0.490195\pi\) |
−0.960123 | + | 0.279579i | \(0.909805\pi\) | |||||||
\(230\) | 8.48891 | − | 5.00446i | 0.559742 | − | 0.329985i | ||||
\(231\) | −3.79174 | − | 2.55756i | −0.249478 | − | 0.168275i | ||||
\(232\) | 1.62686 | + | 1.13914i | 0.106809 | + | 0.0747882i | ||||
\(233\) | 4.29052 | − | 12.4606i | 0.281082 | − | 0.816320i | −0.712343 | − | 0.701832i | \(-0.752366\pi\) |
0.993425 | − | 0.114489i | \(-0.0365230\pi\) | |||||||
\(234\) | −4.49493 | − | 0.156966i | −0.293843 | − | 0.0102612i | ||||
\(235\) | −12.8962 | − | 8.85648i | −0.841254 | − | 0.577733i | ||||
\(236\) | −1.02439 | + | 0.922365i | −0.0666821 | + | 0.0600409i | ||||
\(237\) | 10.0138 | − | 2.31186i | 0.650465 | − | 0.150172i | ||||
\(238\) | −22.5012 | + | 5.19481i | −1.45853 | + | 0.336729i | ||||
\(239\) | −9.58732 | + | 8.63246i | −0.620152 | + | 0.558387i | −0.918177 | − | 0.396171i | \(-0.870339\pi\) |
0.298025 | + | 0.954558i | \(0.403672\pi\) | |||||||
\(240\) | −0.752703 | + | 2.54444i | −0.0485868 | + | 0.164243i | ||||
\(241\) | 9.09550 | + | 0.317622i | 0.585893 | + | 0.0204598i | 0.326313 | − | 0.945262i | \(-0.394194\pi\) |
0.259580 | + | 0.965722i | \(0.416416\pi\) | |||||||
\(242\) | −3.31191 | + | 9.61850i | −0.212898 | + | 0.618300i | ||||
\(243\) | −11.7473 | − | 8.22557i | −0.753591 | − | 0.527670i | ||||
\(244\) | 7.50819 | + | 5.06434i | 0.480663 | + | 0.324211i | ||||
\(245\) | −9.76129 | + | 22.4715i | −0.623626 | + | 1.43565i | ||||
\(246\) | 5.80699 | − | 7.99263i | 0.370240 | − | 0.509591i | ||||
\(247\) | −3.67868 | − | 11.7535i | −0.234069 | − | 0.747860i | ||||
\(248\) | −2.54322 | + | 1.29584i | −0.161495 | + | 0.0822857i | ||||
\(249\) | 9.20756 | + | 7.72606i | 0.583506 | + | 0.489619i | ||||
\(250\) | 1.27763 | + | 11.1071i | 0.0808045 | + | 0.702475i | ||||
\(251\) | 0.249222 | + | 1.41341i | 0.0157308 | + | 0.0892135i | 0.991662 | − | 0.128863i | \(-0.0411328\pi\) |
−0.975932 | + | 0.218077i | \(0.930022\pi\) | |||||||
\(252\) | −6.45079 | + | 1.97220i | −0.406361 | + | 0.124237i | ||||
\(253\) | 0.764828 | − | 3.93470i | 0.0480843 | − | 0.247372i | ||||
\(254\) | 10.2660 | + | 1.07900i | 0.644146 | + | 0.0677025i | ||||
\(255\) | 14.0620 | + | 3.37063i | 0.880594 | + | 0.211077i | ||||
\(256\) | −0.241922 | + | 0.970296i | −0.0151201 | + | 0.0606435i | ||||
\(257\) | −13.6884 | − | 1.19758i | −0.853859 | − | 0.0747030i | −0.348183 | − | 0.937427i | \(-0.613201\pi\) |
−0.505676 | + | 0.862724i | \(0.668757\pi\) | |||||||
\(258\) | −0.458654 | + | 0.566390i | −0.0285545 | + | 0.0352619i | ||||
\(259\) | 8.62137 | − | 9.57500i | 0.535706 | − | 0.594961i | ||||
\(260\) | 5.79295 | − | 2.52132i | 0.359264 | − | 0.156366i | ||||
\(261\) | 1.48422 | − | 2.79141i | 0.0918707 | − | 0.172784i | ||||
\(262\) | −6.42143 | − | 1.96323i | −0.396717 | − | 0.121289i | ||||
\(263\) | 2.64198 | − | 21.5172i | 0.162911 | − | 1.32681i | −0.656816 | − | 0.754051i | \(-0.728097\pi\) |
0.819727 | − | 0.572755i | \(-0.194125\pi\) | |||||||
\(264\) | 0.571953 | + | 0.915316i | 0.0352013 | + | 0.0563338i | ||||
\(265\) | −16.1587 | + | 7.71443i | −0.992620 | + | 0.473894i | ||||
\(266\) | −10.9557 | − | 14.8712i | −0.671736 | − | 0.911809i | ||||
\(267\) | 2.86970 | − | 18.1186i | 0.175623 | − | 1.10884i | ||||
\(268\) | −2.60742 | + | 0.228120i | −0.159274 | + | 0.0139346i | ||||
\(269\) | 1.09518 | − | 1.62367i | 0.0667741 | − | 0.0989967i | −0.794172 | − | 0.607694i | \(-0.792095\pi\) |
0.860946 | + | 0.508697i | \(0.169873\pi\) | |||||||
\(270\) | 12.0178 | + | 2.00665i | 0.731382 | + | 0.122121i | ||||
\(271\) | 19.9041 | − | 19.2212i | 1.20909 | − | 1.16760i | 0.228080 | − | 0.973642i | \(-0.426755\pi\) |
0.981009 | − | 0.193961i | \(-0.0621336\pi\) | |||||||
\(272\) | 5.34951 | + | 1.03984i | 0.324362 | + | 0.0630495i | ||||
\(273\) | −11.9156 | − | 7.73806i | −0.721163 | − | 0.468329i | ||||
\(274\) | 11.5164 | − | 19.9470i | 0.695732 | − | 1.20504i | ||||
\(275\) | 3.72717 | + | 2.60580i | 0.224757 | + | 0.157136i | ||||
\(276\) | 3.36148 | + | 4.00606i | 0.202337 | + | 0.241136i | ||||
\(277\) | −13.0967 | − | 0.686367i | −0.786902 | − | 0.0412398i | −0.345348 | − | 0.938475i | \(-0.612239\pi\) |
−0.441554 | + | 0.897235i | \(0.645573\pi\) | |||||||
\(278\) | −5.79011 | − | 7.15019i | −0.347268 | − | 0.428840i | ||||
\(279\) | 2.54078 | + | 3.76687i | 0.152113 | + | 0.225516i | ||||
\(280\) | 6.98372 | − | 6.40402i | 0.417357 | − | 0.382713i | ||||
\(281\) | −11.8549 | + | 12.2761i | −0.707206 | + | 0.732333i | −0.972773 | − | 0.231759i | \(-0.925552\pi\) |
0.265567 | + | 0.964092i | \(0.414441\pi\) | |||||||
\(282\) | 3.50871 | − | 7.52446i | 0.208941 | − | 0.448075i | ||||
\(283\) | 1.36678 | + | 1.57230i | 0.0812467 | + | 0.0934636i | 0.793885 | − | 0.608068i | \(-0.208055\pi\) |
−0.712638 | + | 0.701532i | \(0.752500\pi\) | |||||||
\(284\) | −3.70874 | − | 11.4143i | −0.220073 | − | 0.677316i | ||||
\(285\) | 1.98853 | + | 11.3939i | 0.117791 | + | 0.674914i | ||||
\(286\) | 0.794134 | − | 2.44409i | 0.0469581 | − | 0.144522i | ||||
\(287\) | −32.4749 | + | 13.7848i | −1.91693 | + | 0.813689i | ||||
\(288\) | 1.57999 | + | 0.193998i | 0.0931016 | + | 0.0114314i | ||||
\(289\) | 1.76729 | − | 12.5750i | 0.103958 | − | 0.739703i | ||||
\(290\) | −0.192114 | + | 4.43674i | −0.0112813 | + | 0.260534i | ||||
\(291\) | −0.0151106 | + | 0.432710i | −0.000885797 | + | 0.0253659i | ||||
\(292\) | 5.14110 | − | 1.97348i | 0.300860 | − | 0.115489i | ||||
\(293\) | −4.73953 | − | 17.6882i | −0.276887 | − | 1.03335i | −0.954567 | − | 0.297998i | \(-0.903681\pi\) |
0.677680 | − | 0.735357i | \(-0.262985\pi\) | |||||||
\(294\) | −12.6157 | − | 3.14544i | −0.735760 | − | 0.183446i | ||||
\(295\) | −2.97051 | − | 0.822645i | −0.172950 | − | 0.0478962i | ||||
\(296\) | −2.77768 | + | 1.23670i | −0.161449 | + | 0.0718818i | ||||
\(297\) | 3.85160 | − | 3.11896i | 0.223492 | − | 0.180981i | ||||
\(298\) | 1.69497 | + | 13.8044i | 0.0981871 | + | 0.799669i | ||||
\(299\) | 2.16219 | − | 12.2624i | 0.125043 | − | 0.709153i | ||||
\(300\) | −5.70225 | + | 1.63953i | −0.329220 | + | 0.0946584i | ||||
\(301\) | 2.44562 | − | 0.890132i | 0.140963 | − | 0.0513063i | ||||
\(302\) | −2.66540 | + | 11.5451i | −0.153377 | + | 0.664347i | ||||
\(303\) | −20.7393 | + | 3.28478i | −1.19144 | + | 0.188706i | ||||
\(304\) | 0.934474 | + | 4.25755i | 0.0535958 | + | 0.244187i | ||||
\(305\) | −0.522831 | + | 20.2442i | −0.0299372 | + | 1.15918i | ||||
\(306\) | 0.605138 | − | 8.65388i | 0.0345934 | − | 0.494709i | ||||
\(307\) | −1.84055 | − | 0.858260i | −0.105045 | − | 0.0489835i | 0.369385 | − | 0.929276i | \(-0.379568\pi\) |
−0.474431 | + | 0.880293i | \(0.657346\pi\) | |||||||
\(308\) | −0.0672660 | − | 3.85366i | −0.00383283 | − | 0.219583i | ||||
\(309\) | −1.22690 | − | 8.72988i | −0.0697962 | − | 0.496625i | ||||
\(310\) | −5.50048 | − | 3.23737i | −0.312406 | − | 0.183870i | ||||
\(311\) | 3.12836 | − | 0.664954i | 0.177393 | − | 0.0377061i | −0.118359 | − | 0.992971i | \(-0.537763\pi\) |
0.295752 | + | 0.955265i | \(0.404430\pi\) | |||||||
\(312\) | 1.82607 | + | 2.81191i | 0.103381 | + | 0.159193i | ||||
\(313\) | −1.38910 | − | 6.01686i | −0.0785167 | − | 0.340093i | 0.920159 | − | 0.391546i | \(-0.128059\pi\) |
−0.998675 | + | 0.0514523i | \(0.983615\pi\) | |||||||
\(314\) | −3.46804 | − | 8.58369i | −0.195713 | − | 0.484406i | ||||
\(315\) | −11.4731 | − | 9.79181i | −0.646435 | − | 0.551706i | ||||
\(316\) | 6.43611 | + | 5.79510i | 0.362060 | + | 0.326000i | ||||
\(317\) | 10.1090 | + | 5.60349i | 0.567776 | + | 0.314723i | 0.742448 | − | 0.669903i | \(-0.233664\pi\) |
−0.174672 | + | 0.984627i | \(0.555887\pi\) | |||||||
\(318\) | −5.45033 | − | 7.78388i | −0.305639 | − | 0.436498i | ||||
\(319\) | 1.29941 | + | 1.25482i | 0.0727529 | + | 0.0702567i | ||||
\(320\) | −2.12026 | + | 0.710277i | −0.118526 | + | 0.0397057i | ||||
\(321\) | −1.23072 | − | 4.93616i | −0.0686923 | − | 0.275510i | ||||
\(322\) | −2.92136 | − | 18.4447i | −0.162801 | − | 1.02789i | ||||
\(323\) | 22.9038 | − | 6.29987i | 1.27440 | − | 0.350534i | ||||
\(324\) | 1.69046i | 0.0939142i | ||||||||
\(325\) | 11.7176 | + | 7.89139i | 0.649977 | + | 0.437735i | ||||
\(326\) | −1.00719 | − | 2.76722i | −0.0557829 | − | 0.153262i | ||||
\(327\) | 11.3487 | − | 8.55184i | 0.627583 | − | 0.472918i | ||||
\(328\) | 8.32418 | + | 0.145299i | 0.459626 | + | 0.00802280i | ||||
\(329\) | −24.5789 | + | 16.5787i | −1.35508 | + | 0.914014i | ||||
\(330\) | −1.03823 | + | 2.17870i | −0.0571525 | + | 0.119934i | ||||
\(331\) | −5.30946 | + | 0.558047i | −0.291834 | + | 0.0306730i | −0.249314 | − | 0.968423i | \(-0.580205\pi\) |
−0.0425200 | + | 0.999096i | \(0.513539\pi\) | |||||||
\(332\) | −0.882800 | + | 10.0905i | −0.0484500 | + | 0.553786i | ||||
\(333\) | 2.49283 | + | 4.14877i | 0.136606 | + | 0.227351i | ||||
\(334\) | −3.06085 | + | 14.4002i | −0.167482 | + | 0.787942i | ||||
\(335\) | −3.56454 | − | 4.64194i | −0.194751 | − | 0.253616i | ||||
\(336\) | 3.96251 | + | 3.09585i | 0.216173 | + | 0.168893i | ||||
\(337\) | 2.40448 | + | 1.81191i | 0.130980 | + | 0.0987008i | 0.665278 | − | 0.746595i | \(-0.268313\pi\) |
−0.534298 | + | 0.845296i | \(0.679424\pi\) | |||||||
\(338\) | −1.46681 | + | 4.79771i | −0.0797838 | + | 0.260961i | ||||
\(339\) | −13.1730 | + | 0.460013i | −0.715461 | + | 0.0249845i | ||||
\(340\) | 4.47017 | + | 11.3362i | 0.242429 | + | 0.614794i | ||||
\(341\) | −2.46909 | + | 0.802254i | −0.133708 | + | 0.0434445i | ||||
\(342\) | 6.54559 | − | 2.30241i | 0.353945 | − | 0.124500i | ||||
\(343\) | 11.8560 | + | 11.8560i | 0.640162 | + | 0.640162i | ||||
\(344\) | −0.612674 | − | 0.0428424i | −0.0330332 | − | 0.00230990i | ||||
\(345\) | −3.51232 | + | 11.1536i | −0.189097 | + | 0.600492i | ||||
\(346\) | 9.55410 | − | 19.5888i | 0.513631 | − | 1.05310i | ||||
\(347\) | 0.128859 | − | 7.38230i | 0.00691749 | − | 0.396303i | −0.976557 | − | 0.215258i | \(-0.930941\pi\) |
0.983475 | − | 0.181045i | \(-0.0579480\pi\) | |||||||
\(348\) | −2.33916 | + | 0.287213i | −0.125392 | + | 0.0153962i | ||||
\(349\) | −16.9857 | + | 9.80671i | −0.909225 | + | 0.524941i | −0.880182 | − | 0.474637i | \(-0.842579\pi\) |
−0.0290432 | + | 0.999578i | \(0.509246\pi\) | |||||||
\(350\) | 20.4697 | + | 5.46906i | 1.09415 | + | 0.292334i | ||||
\(351\) | 11.7937 | − | 9.89611i | 0.629503 | − | 0.528215i | ||||
\(352\) | −0.355389 | + | 0.837244i | −0.0189423 | + | 0.0446253i | ||||
\(353\) | −5.54282 | − | 2.12769i | −0.295015 | − | 0.113245i | 0.206359 | − | 0.978476i | \(-0.433838\pi\) |
−0.501374 | + | 0.865231i | \(0.667172\pi\) | |||||||
\(354\) | 0.170982 | − | 1.62679i | 0.00908760 | − | 0.0864628i | ||||
\(355\) | 17.0628 | − | 20.7140i | 0.905599 | − | 1.09938i | ||||
\(356\) | 13.8944 | − | 6.77676i | 0.736403 | − | 0.359168i | ||||
\(357\) | 15.7180 | − | 22.4476i | 0.831884 | − | 1.18805i | ||||
\(358\) | −11.5228 | + | 2.23981i | −0.608999 | + | 0.118377i | ||||
\(359\) | 6.44339 | + | 2.60330i | 0.340069 | + | 0.137397i | 0.538288 | − | 0.842761i | \(-0.319071\pi\) |
−0.198219 | + | 0.980158i | \(0.563516\pi\) | |||||||
\(360\) | 1.53355 | + | 3.21219i | 0.0808254 | + | 0.169297i | ||||
\(361\) | 11.8948 | + | 14.8160i | 0.626042 | + | 0.779790i | ||||
\(362\) | 21.6010 | + | 11.0063i | 1.13532 | + | 0.578476i | ||||
\(363\) | −4.71671 | − | 11.1119i | −0.247563 | − | 0.583222i | ||||
\(364\) | −0.417848 | − | 11.9656i | −0.0219012 | − | 0.627168i | ||||
\(365\) | 9.90109 | + | 7.32092i | 0.518247 | + | 0.383194i | ||||
\(366\) | −10.6424 | + | 1.49569i | −0.556285 | + | 0.0781808i | ||||
\(367\) | −6.28058 | + | 11.3305i | −0.327843 | + | 0.591445i | −0.987030 | − | 0.160534i | \(-0.948678\pi\) |
0.659187 | + | 0.751979i | \(0.270901\pi\) | |||||||
\(368\) | −1.14060 | + | 4.25679i | −0.0594581 | + | 0.221901i | ||||
\(369\) | −1.38530 | − | 13.1803i | −0.0721160 | − | 0.686138i | ||||
\(370\) | −5.67082 | − | 3.75051i | −0.294812 | − | 0.194979i | ||||
\(371\) | 2.36704 | + | 33.8503i | 0.122891 | + | 1.75742i | ||||
\(372\) | 1.21383 | − | 3.16213i | 0.0629340 | − | 0.163949i | ||||
\(373\) | −4.41817 | + | 6.80338i | −0.228764 | + | 0.352266i | −0.934349 | − | 0.356360i | \(-0.884018\pi\) |
0.705585 | + | 0.708626i | \(0.250684\pi\) | |||||||
\(374\) | 4.65779 | + | 1.69530i | 0.240848 | + | 0.0876616i | ||||
\(375\) | −9.94602 | − | 8.78039i | −0.513610 | − | 0.453417i | ||||
\(376\) | 6.89012 | − | 1.21491i | 0.355331 | − | 0.0626544i | ||||
\(377\) | 4.10391 | + | 3.82696i | 0.211362 | + | 0.197099i | ||||
\(378\) | 11.8923 | − | 19.7921i | 0.611673 | − | 1.01799i | ||||
\(379\) | −3.53523 | − | 2.56850i | −0.181593 | − | 0.131935i | 0.493275 | − | 0.869873i | \(-0.335799\pi\) |
−0.674868 | + | 0.737938i | \(0.735799\pi\) | |||||||
\(380\) | −6.90405 | + | 6.87998i | −0.354170 | + | 0.352935i | ||||
\(381\) | −9.90989 | + | 7.19996i | −0.507699 | + | 0.368865i | ||||
\(382\) | 2.19550 | + | 25.0946i | 0.112331 | + | 1.28395i | ||||
\(383\) | 0.373011 | + | 1.91897i | 0.0190600 | + | 0.0980550i | 0.989932 | − | 0.141543i | \(-0.0452065\pi\) |
−0.970872 | + | 0.239598i | \(0.922984\pi\) | |||||||
\(384\) | −0.557100 | − | 1.04775i | −0.0284294 | − | 0.0534680i | ||||
\(385\) | 7.18502 | − | 4.75938i | 0.366183 | − | 0.242560i | ||||
\(386\) | −14.9441 | + | 19.1276i | −0.760636 | + | 0.973569i | ||||
\(387\) | 0.0511672 | + | 0.976328i | 0.00260097 | + | 0.0496295i | ||||
\(388\) | −0.306005 | + | 0.198722i | −0.0155350 | + | 0.0100886i | ||||
\(389\) | 11.2058 | − | 4.52743i | 0.568156 | − | 0.229550i | −0.0725127 | − | 0.997367i | \(-0.523102\pi\) |
0.640668 | + | 0.767818i | \(0.278657\pi\) | |||||||
\(390\) | −3.10655 | + | 6.82320i | −0.157306 | + | 0.345506i | ||||
\(391\) | 23.4915 | + | 4.99327i | 1.18802 | + | 0.252521i | ||||
\(392\) | −3.92655 | − | 10.2290i | −0.198321 | − | 0.516643i | ||||
\(393\) | 7.22163 | − | 3.36750i | 0.364283 | − | 0.169868i | ||||
\(394\) | −6.91870 | − | 14.1854i | −0.348559 | − | 0.714652i | ||||
\(395\) | −3.18941 | + | 19.1013i | −0.160477 | + | 0.961093i | ||||
\(396\) | 1.39178 | + | 0.399086i | 0.0699395 | + | 0.0200548i | ||||
\(397\) | 31.3760 | + | 18.8526i | 1.57472 | + | 0.946185i | 0.990945 | + | 0.134267i | \(0.0428681\pi\) |
0.583772 | + | 0.811918i | \(0.301576\pi\) | |||||||
\(398\) | 7.55624 | + | 14.8300i | 0.378760 | + | 0.743359i | ||||
\(399\) | 21.4694 | + | 4.41511i | 1.07482 | + | 0.221032i | ||||
\(400\) | −3.88799 | − | 3.14381i | −0.194400 | − | 0.157190i | ||||
\(401\) | 16.9853 | − | 20.2423i | 0.848206 | − | 1.01085i | −0.151543 | − | 0.988451i | \(-0.548424\pi\) |
0.999749 | − | 0.0224020i | \(-0.00713138\pi\) | |||||||
\(402\) | 2.11824 | − | 2.27153i | 0.105648 | − | 0.113294i | ||||
\(403\) | −7.62533 | + | 2.62561i | −0.379845 | + | 0.130791i | ||||
\(404\) | −12.2920 | − | 12.7287i | −0.611547 | − | 0.633276i | ||||
\(405\) | −3.18727 | + | 2.03212i | −0.158377 | + | 0.100977i | ||||
\(406\) | 7.68829 | + | 3.42305i | 0.381563 | + | 0.169883i | ||||
\(407\) | −2.67129 | + | 0.715770i | −0.132411 | + | 0.0354794i | ||||
\(408\) | −5.54316 | + | 3.33067i | −0.274427 | + | 0.164893i | ||||
\(409\) | 8.16902 | + | 5.10457i | 0.403932 | + | 0.252405i | 0.716638 | − | 0.697445i | \(-0.245680\pi\) |
−0.312706 | + | 0.949850i | \(0.601235\pi\) | |||||||
\(410\) | 9.73268 | + | 15.8695i | 0.480663 | + | 0.783738i | ||||
\(411\) | 5.68265 | + | 26.7347i | 0.280304 | + | 1.31873i | ||||
\(412\) | 5.43324 | − | 5.06658i | 0.267676 | − | 0.249612i | ||||
\(413\) | −3.51535 | + | 4.66503i | −0.172979 | + | 0.229551i | ||||
\(414\) | 6.94695 | + | 0.976330i | 0.341424 | + | 0.0479840i | ||||
\(415\) | −20.0863 | + | 10.4654i | −0.985996 | + | 0.513728i | ||||
\(416\) | −1.05843 | + | 2.61970i | −0.0518936 | + | 0.128441i | ||||
\(417\) | 10.7835 | + | 1.70794i | 0.528070 | + | 0.0836380i | ||||
\(418\) | 0.233701 | + | 3.95774i | 0.0114307 | + | 0.193579i | ||||
\(419\) | −11.0713 | − | 15.2383i | −0.540866 | − | 0.744439i | 0.447871 | − | 0.894098i | \(-0.352182\pi\) |
−0.988738 | + | 0.149659i | \(0.952182\pi\) | |||||||
\(420\) | −1.07367 | + | 11.1927i | −0.0523898 | + | 0.546147i | ||||
\(421\) | −2.23457 | + | 7.79286i | −0.108906 | + | 0.379801i | −0.996770 | − | 0.0803048i | \(-0.974411\pi\) |
0.887864 | + | 0.460105i | \(0.152188\pi\) | |||||||
\(422\) | 1.26144 | + | 3.66349i | 0.0614060 | + | 0.178336i | ||||
\(423\) | −3.25622 | − | 10.6506i | −0.158323 | − | 0.517850i | ||||
\(424\) | 2.73879 | − | 7.52477i | 0.133008 | − | 0.365435i | ||||
\(425\) | −16.0002 | + | 22.0558i | −0.776125 | + | 1.06986i | ||||
\(426\) | 12.3339 | + | 7.12095i | 0.597577 | + | 0.345011i | ||||
\(427\) | 35.3265 | + | 14.9952i | 1.70957 | + | 0.725670i | ||||
\(428\) | 2.81258 | − | 3.23550i | 0.135951 | − | 0.156394i | ||||
\(429\) | 1.24036 | + | 2.78590i | 0.0598853 | + | 0.134505i | ||||
\(430\) | −0.655729 | − | 1.20667i | −0.0316220 | − | 0.0581907i | ||||
\(431\) | 5.71115 | + | 19.9172i | 0.275097 | + | 0.959376i | 0.970569 | + | 0.240823i | \(0.0774173\pi\) |
−0.695472 | + | 0.718553i | \(0.744805\pi\) | |||||||
\(432\) | −4.46351 | + | 3.12538i | −0.214751 | + | 0.150370i | ||||
\(433\) | 23.5160 | − | 0.410473i | 1.13011 | − | 0.0197261i | 0.550655 | − | 0.834733i | \(-0.314378\pi\) |
0.579452 | + | 0.815007i | \(0.303267\pi\) | |||||||
\(434\) | −9.53124 | + | 7.44662i | −0.457514 | + | 0.357449i | ||||
\(435\) | −3.35347 | − | 4.06511i | −0.160787 | − | 0.194907i | ||||
\(436\) | 11.3888 | + | 3.70045i | 0.545425 | + | 0.177219i | ||||
\(437\) | 3.79010 | + | 18.8319i | 0.181305 | + | 0.900850i | ||||
\(438\) | −2.96671 | + | 5.82249i | −0.141755 | + | 0.278210i | ||||
\(439\) | −14.7893 | + | 9.24136i | −0.705853 | + | 0.441066i | −0.834777 | − | 0.550588i | \(-0.814403\pi\) |
0.128924 | + | 0.991655i | \(0.458848\pi\) | |||||||
\(440\) | −2.00580 | + | 0.336397i | −0.0956228 | + | 0.0160371i | ||||
\(441\) | −15.3999 | + | 8.18830i | −0.733331 | + | 0.389919i | ||||
\(442\) | 14.5587 | + | 5.01296i | 0.692487 | + | 0.238442i | ||||
\(443\) | −4.43782 | − | 9.51694i | −0.210847 | − | 0.452164i | 0.772233 | − | 0.635340i | \(-0.219140\pi\) |
−0.983080 | + | 0.183176i | \(0.941362\pi\) | |||||||
\(444\) | 1.46754 | − | 3.29614i | 0.0696462 | − | 0.156428i | ||||
\(445\) | 29.4800 | + | 18.0508i | 1.39748 | + | 0.855688i | ||||
\(446\) | 26.1898 | − | 1.83137i | 1.24012 | − | 0.0867178i | ||||
\(447\) | −12.4558 | − | 10.8277i | −0.589140 | − | 0.512131i | ||||
\(448\) | −0.221776 | + | 4.23173i | −0.0104779 | + | 0.199931i | ||||
\(449\) | 13.9168 | + | 24.1046i | 0.656775 | + | 1.13757i | 0.981446 | + | 0.191740i | \(0.0614131\pi\) |
−0.324671 | + | 0.945827i | \(0.605254\pi\) | |||||||
\(450\) | −4.21291 | + | 6.75286i | −0.198598 | + | 0.318333i | ||||
\(451\) | 7.45737 | + | 1.31493i | 0.351154 | + | 0.0619179i | ||||
\(452\) | −6.68482 | − | 8.87105i | −0.314427 | − | 0.417259i | ||||
\(453\) | −6.81663 | − | 12.2975i | −0.320273 | − | 0.577788i | ||||
\(454\) | −7.84241 | + | 1.95533i | −0.368062 | + | 0.0917683i | ||||
\(455\) | 22.0582 | − | 15.1719i | 1.03410 | − | 0.711268i | ||||
\(456\) | −4.20468 | − | 3.01255i | −0.196902 | − | 0.141076i | ||||
\(457\) | 8.59404 | − | 8.59404i | 0.402012 | − | 0.402012i | −0.476929 | − | 0.878942i | \(-0.658250\pi\) |
0.878942 | + | 0.476929i | \(0.158250\pi\) | |||||||
\(458\) | 18.0570 | − | 15.6967i | 0.843749 | − | 0.733460i | ||||
\(459\) | 18.2819 | + | 23.3998i | 0.853326 | + | 1.09221i | ||||
\(460\) | −9.39710 | + | 2.96661i | −0.438142 | + | 0.138319i | ||||
\(461\) | −13.3251 | − | 7.08507i | −0.620610 | − | 0.329984i | 0.129219 | − | 0.991616i | \(-0.458753\pi\) |
−0.749829 | + | 0.661632i | \(0.769864\pi\) | |||||||
\(462\) | 3.11923 | + | 3.34497i | 0.145120 | + | 0.155622i | ||||
\(463\) | 7.92418 | − | 0.415289i | 0.368268 | − | 0.0193001i | 0.132695 | − | 0.991157i | \(-0.457637\pi\) |
0.235573 | + | 0.971857i | \(0.424303\pi\) | |||||||
\(464\) | −1.32891 | − | 1.47591i | −0.0616932 | − | 0.0685173i | ||||
\(465\) | 7.42119 | − | 1.51264i | 0.344150 | − | 0.0701469i | ||||
\(466\) | −6.98358 | + | 11.1761i | −0.323508 | + | 0.517721i | ||||
\(467\) | −3.00760 | − | 2.43551i | −0.139175 | − | 0.112702i | 0.557205 | − | 0.830375i | \(-0.311874\pi\) |
−0.696380 | + | 0.717673i | \(0.745207\pi\) | |||||||
\(468\) | 4.34442 | + | 1.16408i | 0.200821 | + | 0.0538097i | ||||
\(469\) | −10.6616 | + | 3.05717i | −0.492308 | + | 0.141167i | ||||
\(470\) | 10.5734 | + | 11.5305i | 0.487714 | + | 0.531862i | ||||
\(471\) | 9.87399 | + | 4.81586i | 0.454969 | + | 0.221903i | ||||
\(472\) | 1.20562 | − | 0.668287i | 0.0554933 | − | 0.0307604i | ||||
\(473\) | −0.544301 | − | 0.125662i | −0.0250270 | − | 0.00577793i | ||||
\(474\) | −10.2772 | −0.472047 | ||||||||
\(475\) | −21.2713 | − | 4.74670i | −0.975995 | − | 0.217793i | ||||
\(476\) | 23.0931 | 1.05847 | ||||||||
\(477\) | −12.4204 | − | 2.86746i | −0.568689 | − | 0.131292i | ||||
\(478\) | 11.2835 | − | 6.25453i | 0.516094 | − | 0.286076i | ||||
\(479\) | −10.1620 | − | 4.95632i | −0.464312 | − | 0.226460i | 0.191339 | − | 0.981524i | \(-0.438717\pi\) |
−0.655651 | + | 0.755064i | \(0.727606\pi\) | |||||||
\(480\) | 1.30579 | − | 2.30991i | 0.0596007 | − | 0.105432i | ||||
\(481\) | −8.25806 | + | 2.36796i | −0.376535 | + | 0.107970i | ||||
\(482\) | −8.79093 | − | 2.35552i | −0.400416 | − | 0.107291i | ||||
\(483\) | 17.2218 | + | 13.9460i | 0.783621 | + | 0.634564i | ||||
\(484\) | 5.39072 | − | 8.62696i | 0.245033 | − | 0.392134i | ||||
\(485\) | −0.742534 | − | 0.338070i | −0.0337167 | − | 0.0153510i | ||||
\(486\) | 9.59589 | + | 10.6573i | 0.435279 | + | 0.483426i | ||||
\(487\) | 5.66434 | − | 0.296856i | 0.256676 | − | 0.0134518i | 0.0764360 | − | 0.997074i | \(-0.475646\pi\) |
0.180240 | + | 0.983623i | \(0.442313\pi\) | |||||||
\(488\) | −6.17653 | − | 6.62352i | −0.279598 | − | 0.299833i | ||||
\(489\) | 3.08544 | + | 1.64056i | 0.139529 | + | 0.0741886i | ||||
\(490\) | 14.5661 | − | 19.6998i | 0.658029 | − | 0.889944i | ||||
\(491\) | −20.3392 | − | 26.0330i | −0.917895 | − | 1.17485i | −0.984201 | − | 0.177052i | \(-0.943344\pi\) |
0.0663066 | − | 0.997799i | \(-0.478878\pi\) | |||||||
\(492\) | −7.45610 | + | 6.48149i | −0.336147 | + | 0.292208i | ||||
\(493\) | −7.65311 | + | 7.65311i | −0.344679 | + | 0.344679i | ||||
\(494\) | 0.940427 | + | 12.2798i | 0.0423118 | + | 0.552495i | ||||
\(495\) | 0.920624 | + | 3.10388i | 0.0413790 | + | 0.139509i | ||||
\(496\) | 2.76954 | − | 0.690524i | 0.124356 | − | 0.0310054i | ||||
\(497\) | −24.6564 | − | 44.4812i | −1.10599 | − | 1.99526i | ||||
\(498\) | −7.23359 | − | 9.59929i | −0.324145 | − | 0.430155i | ||||
\(499\) | −32.3763 | − | 5.70881i | −1.44936 | − | 0.255561i | −0.607097 | − | 0.794628i | \(-0.707666\pi\) |
−0.842263 | + | 0.539066i | \(0.818777\pi\) | |||||||
\(500\) | 1.25367 | − | 11.1098i | 0.0560657 | − | 0.496847i | ||||
\(501\) | −8.73489 | − | 15.1293i | −0.390246 | − | 0.675926i | ||||
\(502\) | 0.0751132 | − | 1.43325i | 0.00335247 | − | 0.0639689i | ||||
\(503\) | 24.7523 | + | 21.5169i | 1.10365 | + | 0.959390i | 0.999382 | − | 0.0351594i | \(-0.0111939\pi\) |
0.104270 | + | 0.994549i | \(0.466749\pi\) | |||||||
\(504\) | 6.72910 | − | 0.470545i | 0.299738 | − | 0.0209597i | ||||
\(505\) | 9.22293 | − | 38.4772i | 0.410415 | − | 1.71221i | ||||
\(506\) | −1.63034 | + | 3.66180i | −0.0724775 | + | 0.162787i | ||||
\(507\) | −2.51600 | − | 5.39557i | −0.111739 | − | 0.239626i | ||||
\(508\) | −9.76017 | − | 3.36069i | −0.433037 | − | 0.149107i | ||||
\(509\) | 36.4010 | − | 19.3547i | 1.61344 | − | 0.857884i | 0.615902 | − | 0.787823i | \(-0.288792\pi\) |
0.997543 | − | 0.0700609i | \(-0.0223194\pi\) | |||||||
\(510\) | −12.9433 | − | 6.44749i | −0.573140 | − | 0.285500i | ||||
\(511\) | 19.7897 | − | 12.3659i | 0.875443 | − | 0.547037i | ||||
\(512\) | 0.453990 | − | 0.891007i | 0.0200637 | − | 0.0393773i | ||||
\(513\) | −11.3771 | + | 20.8492i | −0.502312 | + | 0.920515i | ||||
\(514\) | 13.0682 | + | 4.24611i | 0.576412 | + | 0.187288i | ||||
\(515\) | 16.0842 | + | 4.15348i | 0.708752 | + | 0.183024i | ||||
\(516\) | 0.574308 | − | 0.448699i | 0.0252825 | − | 0.0197529i | ||||
\(517\) | 6.36261 | − | 0.111060i | 0.279827 | − | 0.00488440i | ||||
\(518\) | −10.5543 | + | 7.39020i | −0.463730 | + | 0.324707i | ||||
\(519\) | 7.12869 | + | 24.8607i | 0.312915 | + | 1.09126i | ||||
\(520\) | −6.21165 | + | 1.15357i | −0.272399 | + | 0.0505875i | ||||
\(521\) | −5.79236 | − | 13.0099i | −0.253768 | − | 0.569972i | 0.741072 | − | 0.671425i | \(-0.234318\pi\) |
−0.994840 | + | 0.101453i | \(0.967651\pi\) | |||||||
\(522\) | −2.07411 | + | 2.38599i | −0.0907812 | + | 0.104432i | ||||
\(523\) | −29.4506 | − | 12.5010i | −1.28779 | − | 0.546632i | −0.364663 | − | 0.931140i | \(-0.618816\pi\) |
−0.923122 | + | 0.384507i | \(0.874371\pi\) | |||||||
\(524\) | 5.81522 | + | 3.35742i | 0.254039 | + | 0.146669i | ||||
\(525\) | −22.3939 | + | 11.4306i | −0.977350 | + | 0.498870i | ||||
\(526\) | −7.41458 | + | 20.3714i | −0.323291 | + | 0.888234i | ||||
\(527\) | −4.54785 | − | 14.8754i | −0.198108 | − | 0.647981i | ||||
\(528\) | −0.351392 | − | 1.02052i | −0.0152924 | − | 0.0444123i | ||||
\(529\) | 0.986432 | − | 3.44010i | 0.0428884 | − | 0.149569i | ||||
\(530\) | 17.4799 | − | 3.88180i | 0.759279 | − | 0.168615i | ||||
\(531\) | −1.28977 | − | 1.77522i | −0.0559714 | − | 0.0770380i | ||||
\(532\) | 7.32961 | + | 16.9545i | 0.317779 | + | 0.735071i | ||||
\(533\) | 23.2334 | + | 3.67981i | 1.00635 | + | 0.159390i | ||||
\(534\) | −6.87195 | + | 17.0087i | −0.297378 | + | 0.736037i | ||||
\(535\) | 9.48141 | + | 1.41352i | 0.409917 | + | 0.0611118i | ||||
\(536\) | 2.59191 | + | 0.364269i | 0.111954 | + | 0.0157340i | ||||
\(537\) | 8.38299 | − | 11.1246i | 0.361753 | − | 0.480062i | ||||
\(538\) | −1.43235 | + | 1.33569i | −0.0617532 | + | 0.0575857i | ||||
\(539\) | −2.07199 | − | 9.74793i | −0.0892468 | − | 0.419873i | ||||
\(540\) | −11.2584 | − | 4.65864i | −0.484485 | − | 0.200476i | ||||
\(541\) | −11.5606 | − | 7.22384i | −0.497027 | − | 0.310577i | 0.258142 | − | 0.966107i | \(-0.416890\pi\) |
−0.755169 | + | 0.655530i | \(0.772445\pi\) | |||||||
\(542\) | −23.7178 | + | 14.2511i | −1.01877 | + | 0.612137i | ||||
\(543\) | −27.7882 | + | 7.44583i | −1.19251 | + | 0.319531i | ||||
\(544\) | −4.97849 | − | 2.21657i | −0.213451 | − | 0.0950345i | ||||
\(545\) | 6.71367 | + | 25.9214i | 0.287582 | + | 1.11035i | ||||
\(546\) | 9.86948 | + | 10.2202i | 0.422375 | + | 0.437382i | ||||
\(547\) | 0.393762 | − | 0.135583i | 0.0168360 | − | 0.00579711i | −0.317137 | − | 0.948380i | \(-0.602722\pi\) |
0.333973 | + | 0.942583i | \(0.391610\pi\) | |||||||
\(548\) | −15.7084 | + | 16.8452i | −0.671028 | + | 0.719589i | ||||
\(549\) | −9.26683 | + | 11.0438i | −0.395499 | + | 0.471337i | ||||
\(550\) | −3.04547 | − | 3.37744i | −0.129859 | − | 0.144015i | ||||
\(551\) | −8.04783 | − | 3.18972i | −0.342849 | − | 0.135887i | ||||
\(552\) | −2.37416 | − | 4.65955i | −0.101051 | − | 0.198324i | ||||
\(553\) | 31.4579 | + | 18.9018i | 1.33773 | + | 0.803787i | ||||
\(554\) | 12.6066 | + | 3.61488i | 0.535603 | + | 0.153582i | ||||
\(555\) | 7.97885 | − | 1.19538i | 0.338683 | − | 0.0507411i | ||||
\(556\) | 4.03327 | + | 8.26942i | 0.171049 | + | 0.350702i | ||||
\(557\) | −13.4173 | + | 6.25660i | −0.568510 | + | 0.265101i | −0.685549 | − | 0.728027i | \(-0.740438\pi\) |
0.117038 | + | 0.993127i | \(0.462660\pi\) | |||||||
\(558\) | −1.62830 | − | 4.24187i | −0.0689316 | − | 0.179573i | ||||
\(559\) | −1.69738 | − | 0.360789i | −0.0717914 | − | 0.0152597i | ||||
\(560\) | −8.24531 | + | 4.66889i | −0.348428 | + | 0.197297i | ||||
\(561\) | −5.45361 | + | 2.20340i | −0.230251 | + | 0.0930276i | ||||
\(562\) | 14.3126 | − | 9.29472i | 0.603741 | − | 0.392074i | ||||
\(563\) | −0.584851 | − | 11.1596i | −0.0246485 | − | 0.470322i | −0.982871 | − | 0.184297i | \(-0.940999\pi\) |
0.958222 | − | 0.286025i | \(-0.0923341\pi\) | |||||||
\(564\) | −5.11142 | + | 6.54232i | −0.215230 | + | 0.275481i | ||||
\(565\) | 8.68998 | − | 23.2679i | 0.365590 | − | 0.978888i | ||||
\(566\) | −0.978059 | − | 1.83946i | −0.0411109 | − | 0.0773184i | ||||
\(567\) | 1.36684 | + | 7.03176i | 0.0574017 | + | 0.295306i | ||||
\(568\) | 1.04602 | + | 11.9561i | 0.0438900 | + | 0.501665i | ||||
\(569\) | −37.9597 | + | 27.5793i | −1.59135 | + | 1.15619i | −0.689373 | + | 0.724406i | \(0.742114\pi\) |
−0.901979 | + | 0.431779i | \(0.857886\pi\) | |||||||
\(570\) | 0.625492 | − | 11.5492i | 0.0261990 | − | 0.483741i | ||||
\(571\) | −19.2991 | − | 14.0216i | −0.807642 | − | 0.586786i | 0.105504 | − | 0.994419i | \(-0.466354\pi\) |
−0.913146 | + | 0.407633i | \(0.866354\pi\) | |||||||
\(572\) | −1.32358 | + | 2.20281i | −0.0553417 | + | 0.0921041i | ||||
\(573\) | −21.8619 | − | 20.3866i | −0.913295 | − | 0.851661i | ||||
\(574\) | 34.7435 | − | 6.12621i | 1.45016 | − | 0.255703i | ||||
\(575\) | −16.8898 | − | 14.1515i | −0.704354 | − | 0.590160i | ||||
\(576\) | −1.49585 | − | 0.544445i | −0.0623271 | − | 0.0226852i | ||||
\(577\) | 20.0571 | − | 30.8853i | 0.834990 | − | 1.28577i | −0.121083 | − | 0.992642i | \(-0.538637\pi\) |
0.956073 | − | 0.293129i | \(-0.0946967\pi\) | |||||||
\(578\) | −4.55075 | + | 11.8551i | −0.189286 | + | 0.493107i | ||||
\(579\) | −2.00926 | − | 28.7338i | −0.0835022 | − | 1.19414i | ||||
\(580\) | 1.18524 | − | 4.27981i | 0.0492144 | − | 0.177709i | ||||
\(581\) | 4.48657 | + | 42.6869i | 0.186134 | + | 1.77095i | ||||
\(582\) | 0.112062 | − | 0.418220i | 0.00464511 | − | 0.0173358i | ||||
\(583\) | 3.53106 | − | 6.37020i | 0.146241 | − | 0.263827i | ||||
\(584\) | −5.45327 | + | 0.766407i | −0.225658 | + | 0.0317141i | ||||
\(585\) | 3.02768 | + | 9.59054i | 0.125179 | + | 0.396520i | ||||
\(586\) | 0.639085 | + | 18.3010i | 0.0264004 | + | 0.756007i | ||||
\(587\) | −13.8231 | − | 32.5653i | −0.570542 | − | 1.34411i | −0.914293 | − | 0.405053i | \(-0.867253\pi\) |
0.343751 | − | 0.939061i | \(-0.388302\pi\) | |||||||
\(588\) | 11.5848 | + | 5.90273i | 0.477747 | + | 0.243424i | ||||
\(589\) | 9.47775 | − | 8.06031i | 0.390524 | − | 0.332119i | ||||
\(590\) | 2.70932 | + | 1.46978i | 0.111541 | + | 0.0605099i | ||||
\(591\) | 17.3649 | + | 7.01588i | 0.714297 | + | 0.288595i | ||||
\(592\) | 2.98468 | − | 0.580163i | 0.122670 | − | 0.0238446i | ||||
\(593\) | −4.72883 | + | 6.75347i | −0.194190 | + | 0.277332i | −0.904425 | − | 0.426633i | \(-0.859700\pi\) |
0.710235 | + | 0.703964i | \(0.248589\pi\) | |||||||
\(594\) | −4.45449 | + | 2.17260i | −0.182770 | + | 0.0891430i | ||||
\(595\) | 27.7605 | + | 43.5408i | 1.13807 | + | 1.78500i | ||||
\(596\) | 1.45379 | − | 13.8319i | 0.0595497 | − | 0.566577i | ||||
\(597\) | −18.4389 | − | 7.07803i | −0.754654 | − | 0.289685i | ||||
\(598\) | −4.86521 | + | 11.4617i | −0.198953 | + | 0.468705i | ||||
\(599\) | 18.7638 | − | 15.7447i | 0.766669 | − | 0.643311i | −0.173185 | − | 0.984889i | \(-0.555406\pi\) |
0.939853 | + | 0.341578i | \(0.110961\pi\) | |||||||
\(600\) | 5.92492 | − | 0.314784i | 0.241884 | − | 0.0128510i | ||||
\(601\) | 10.6196 | − | 6.13124i | 0.433184 | − | 0.250099i | −0.267518 | − | 0.963553i | \(-0.586204\pi\) |
0.700702 | + | 0.713454i | \(0.252870\pi\) | |||||||
\(602\) | −2.58317 | + | 0.317174i | −0.105282 | + | 0.0129270i | ||||
\(603\) | 0.0727152 | − | 4.16585i | 0.00296119 | − | 0.169647i | ||||
\(604\) | 5.19417 | − | 10.6496i | 0.211348 | − | 0.433327i | ||||
\(605\) | 22.7460 | − | 0.206680i | 0.924755 | − | 0.00840272i | ||||
\(606\) | 20.9467 | + | 1.46473i | 0.850900 | + | 0.0595007i | ||||
\(607\) | 33.3066 | + | 33.3066i | 1.35187 | + | 1.35187i | 0.883565 | + | 0.468308i | \(0.155136\pi\) |
0.468308 | + | 0.883565i | \(0.344864\pi\) | |||||||
\(608\) | 0.0472171 | − | 4.35864i | 0.00191491 | − | 0.176766i | ||||
\(609\) | −9.49795 | + | 3.08607i | −0.384876 | + | 0.125054i | ||||
\(610\) | 5.06339 | − | 19.6078i | 0.205011 | − | 0.793895i | ||||
\(611\) | 19.7559 | − | 0.689889i | 0.799236 | − | 0.0279099i | ||||
\(612\) | −2.53633 | + | 8.29595i | −0.102525 | + | 0.335344i | ||||
\(613\) | 10.2406 | + | 7.71683i | 0.413613 | + | 0.311680i | 0.788094 | − | 0.615555i | \(-0.211068\pi\) |
−0.374481 | + | 0.927235i | \(0.622179\pi\) | |||||||
\(614\) | 1.60031 | + | 1.25030i | 0.0645831 | + | 0.0504578i | ||||
\(615\) | −21.1836 | − | 6.26659i | −0.854206 | − | 0.252693i | ||||
\(616\) | −0.801344 | + | 3.77003i | −0.0322871 | + | 0.151899i | ||||
\(617\) | 16.9455 | + | 28.2021i | 0.682202 | + | 1.13537i | 0.983337 | + | 0.181793i | \(0.0581901\pi\) |
−0.301135 | + | 0.953582i | \(0.597365\pi\) | |||||||
\(618\) | −0.768336 | + | 8.78213i | −0.0309070 | + | 0.353269i | ||||
\(619\) | 24.7355 | − | 2.59980i | 0.994203 | − | 0.104495i | 0.406568 | − | 0.913621i | \(-0.366726\pi\) |
0.587636 | + | 0.809126i | \(0.300059\pi\) | |||||||
\(620\) | 4.63126 | + | 4.39174i | 0.185996 | + | 0.176376i | ||||
\(621\) | −19.9079 | + | 13.4280i | −0.798876 | + | 0.538849i | ||||
\(622\) | −3.19777 | − | 0.0558172i | −0.128219 | − | 0.00223807i | ||||
\(623\) | 52.3170 | − | 39.4237i | 2.09604 | − | 1.57948i | ||||
\(624\) | −1.14673 | − | 3.15061i | −0.0459059 | − | 0.126125i | ||||
\(625\) | 22.4541 | − | 10.9916i | 0.898163 | − | 0.439663i | ||||
\(626\) | 6.17513i | 0.246808i | ||||||||
\(627\) | −3.34864 | − | 3.30459i | −0.133732 | − | 0.131973i | ||||
\(628\) | 1.44824 | + | 9.14383i | 0.0577911 | + | 0.364878i | ||||
\(629\) | −4.00861 | − | 16.0777i | −0.159834 | − | 0.641058i | ||||
\(630\) | 8.97635 | + | 12.1217i | 0.357626 | + | 0.482941i | ||||
\(631\) | −31.4078 | − | 30.3301i | −1.25032 | − | 1.20742i | −0.968793 | − | 0.247872i | \(-0.920269\pi\) |
−0.281531 | − | 0.959552i | \(-0.590842\pi\) | |||||||
\(632\) | −4.96754 | − | 7.09438i | −0.197598 | − | 0.282199i | ||||
\(633\) | −4.02132 | − | 2.22905i | −0.159833 | − | 0.0885969i | ||||
\(634\) | −8.58936 | − | 7.73390i | −0.341127 | − | 0.307152i | ||||
\(635\) | −5.39644 | − | 22.4422i | −0.214151 | − | 0.890593i | ||||
\(636\) | 3.55965 | + | 8.81044i | 0.141149 | + | 0.349357i | ||||
\(637\) | −6.96394 | − | 30.1641i | −0.275921 | − | 1.19515i | ||||
\(638\) | −0.983831 | − | 1.51497i | −0.0389502 | − | 0.0599781i | ||||
\(639\) | 18.6875 | − | 3.97215i | 0.739265 | − | 0.157136i | ||||
\(640\) | 2.22570 | − | 0.215118i | 0.0879784 | − | 0.00850328i | ||||
\(641\) | −4.48368 | − | 31.9030i | −0.177095 | − | 1.26009i | −0.852531 | − | 0.522676i | \(-0.824934\pi\) |
0.675437 | − | 0.737418i | \(-0.263955\pi\) | |||||||
\(642\) | 0.0887853 | + | 5.08650i | 0.00350407 | + | 0.200748i | ||||
\(643\) | 1.55402 | + | 0.724653i | 0.0612847 | + | 0.0285775i | 0.453019 | − | 0.891501i | \(-0.350347\pi\) |
−0.391734 | + | 0.920078i | \(0.628125\pi\) | |||||||
\(644\) | −1.30268 | + | 18.6292i | −0.0513327 | + | 0.734092i | ||||
\(645\) | 1.53638 | + | 0.543441i | 0.0604951 | + | 0.0213980i | ||||
\(646\) | −23.7339 | + | 0.986174i | −0.933799 | + | 0.0388005i | ||||
\(647\) | −7.04429 | + | 1.11571i | −0.276940 | + | 0.0438629i | −0.293359 | − | 0.956002i | \(-0.594773\pi\) |
0.0164197 | + | 0.999865i | \(0.494773\pi\) | |||||||
\(648\) | 0.380270 | − | 1.64713i | 0.0149384 | − | 0.0647053i | ||||
\(649\) | 1.17816 | − | 0.428815i | 0.0462468 | − | 0.0168325i | ||||
\(650\) | −9.64213 | − | 10.3250i | −0.378196 | − | 0.404981i | ||||
\(651\) | 2.49237 | − | 14.1349i | 0.0976835 | − | 0.553991i | ||||
\(652\) | 0.358883 | + | 2.92287i | 0.0140549 | + | 0.114468i | ||||
\(653\) | 10.7735 | − | 8.72422i | 0.421600 | − | 0.341405i | −0.394927 | − | 0.918713i | \(-0.629230\pi\) |
0.816527 | + | 0.577308i | \(0.195897\pi\) | |||||||
\(654\) | −12.9816 | + | 5.77976i | −0.507619 | + | 0.226007i | ||||
\(655\) | 0.660331 | + | 15.0003i | 0.0258013 | + | 0.586110i | ||||
\(656\) | −8.07815 | − | 2.01411i | −0.315399 | − | 0.0786377i | ||||
\(657\) | 2.26883 | + | 8.46740i | 0.0885156 | + | 0.330345i | ||||
\(658\) | 27.6784 | − | 10.6247i | 1.07902 | − | 0.414195i | ||||
\(659\) | −1.26800 | + | 36.3107i | −0.0493942 | + | 1.41446i | 0.681422 | + | 0.731891i | \(0.261362\pi\) |
−0.730816 | + | 0.682574i | \(0.760860\pi\) | |||||||
\(660\) | 1.50172 | − | 1.88931i | 0.0584543 | − | 0.0735414i | ||||
\(661\) | −2.19438 | + | 15.6138i | −0.0853513 | + | 0.607306i | 0.899888 | + | 0.436122i | \(0.143648\pi\) |
−0.985239 | + | 0.171184i | \(0.945241\pi\) | |||||||
\(662\) | 5.29892 | + | 0.650625i | 0.205948 | + | 0.0252873i | ||||
\(663\) | −16.8191 | + | 7.13929i | −0.653200 | + | 0.277267i | ||||
\(664\) | 3.13003 | − | 9.63325i | 0.121469 | − | 0.373843i | ||||
\(665\) | −23.1558 | + | 34.2009i | −0.897943 | + | 1.32625i | ||||
\(666\) | −1.49567 | − | 4.60320i | −0.0579561 | − | 0.178370i | ||||
\(667\) | −5.74205 | − | 6.60548i | −0.222333 | − | 0.255765i | ||||
\(668\) | 6.22173 | − | 13.3426i | 0.240726 | − | 0.516239i | ||||
\(669\) | −21.6415 | + | 22.4104i | −0.836707 | + | 0.866436i | ||||
\(670\) | 2.42897 | + | 5.32481i | 0.0938392 | + | 0.205715i | ||||
\(671\) | −4.60627 | − | 6.82907i | −0.177823 | − | 0.263633i | ||||
\(672\) | −3.16453 | − | 3.90788i | −0.122075 | − | 0.150750i | ||||
\(673\) | 6.73401 | + | 0.352914i | 0.259577 | + | 0.0136038i | 0.181681 | − | 0.983358i | \(-0.441846\pi\) |
0.0778964 | + | 0.996961i | \(0.475180\pi\) | |||||||
\(674\) | −1.93526 | − | 2.30636i | −0.0745436 | − | 0.0888376i | ||||
\(675\) | −4.75029 | − | 26.8274i | −0.182839 | − | 1.03259i | ||||
\(676\) | 2.50846 | − | 4.34478i | 0.0964793 | − | 0.167107i | ||||
\(677\) | 12.4172 | + | 8.06382i | 0.477232 | + | 0.309918i | 0.760746 | − | 0.649050i | \(-0.224833\pi\) |
−0.283514 | + | 0.958968i | \(0.591500\pi\) | |||||||
\(678\) | 12.9389 | + | 2.51507i | 0.496915 | + | 0.0965906i | ||||
\(679\) | −1.11221 | + | 1.07404i | −0.0426825 | + | 0.0412180i | ||||
\(680\) | −1.80550 | − | 12.0513i | −0.0692379 | − | 0.462145i | ||||
\(681\) | 5.36329 | − | 7.95140i | 0.205522 | − | 0.304698i | ||||
\(682\) | 2.58627 | − | 0.226269i | 0.0990334 | − | 0.00866430i | ||||
\(683\) | −2.51710 | + | 15.8923i | −0.0963141 | + | 0.608103i | 0.891567 | + | 0.452889i | \(0.149607\pi\) |
−0.987881 | + | 0.155214i | \(0.950393\pi\) | |||||||
\(684\) | −6.89576 | + | 0.770965i | −0.263666 | + | 0.0294786i | ||||
\(685\) | −50.6439 | − | 9.36747i | −1.93501 | − | 0.357912i | ||||
\(686\) | −8.88509 | − | 14.2191i | −0.339234 | − | 0.542889i | ||||
\(687\) | −3.46007 | + | 28.1800i | −0.132010 | + | 1.07513i | ||||
\(688\) | 0.587334 | + | 0.179566i | 0.0223919 | + | 0.00684589i | ||||
\(689\) | 10.6219 | − | 19.9769i | 0.404662 | − | 0.761058i | ||||
\(690\) | 5.93133 | − | 10.0777i | 0.225802 | − | 0.383651i | ||||
\(691\) | 10.8844 | − | 12.0883i | 0.414060 | − | 0.459861i | −0.499650 | − | 0.866228i | \(-0.666538\pi\) |
0.913710 | + | 0.406367i | \(0.133205\pi\) | |||||||
\(692\) | −13.7157 | + | 16.9375i | −0.521394 | + | 0.643869i | ||||
\(693\) | 6.11205 | + | 0.534735i | 0.232178 | + | 0.0203129i | ||||
\(694\) | −1.78621 | + | 7.16410i | −0.0678037 | + | 0.271946i | ||||
\(695\) | −10.7431 | + | 17.5453i | −0.407510 | + | 0.665532i | ||||
\(696\) | 2.34382 | + | 0.246345i | 0.0888423 | + | 0.00933770i | ||||
\(697\) | −8.65713 | + | 44.5371i | −0.327912 | + | 1.68696i | ||||
\(698\) | 18.7564 | − | 5.73441i | 0.709941 | − | 0.217051i | ||||
\(699\) | −2.71558 | − | 15.4008i | −0.102713 | − | 0.582513i | ||||
\(700\) | −18.7148 | − | 9.93357i | −0.707352 | − | 0.375454i | ||||
\(701\) | 19.6872 | + | 16.5195i | 0.743576 | + | 0.623935i | 0.933796 | − | 0.357807i | \(-0.116475\pi\) |
−0.190219 | + | 0.981742i | \(0.560920\pi\) | |||||||
\(702\) | −13.7176 | + | 6.98947i | −0.517737 | + | 0.263800i | ||||
\(703\) | 10.5316 | − | 8.04601i | 0.397207 | − | 0.303461i | ||||
\(704\) | 0.534620 | − | 0.735841i | 0.0201492 | − | 0.0277330i | ||||
\(705\) | −18.4797 | − | 1.77269i | −0.695987 | − | 0.0667633i | ||||
\(706\) | 4.92213 | + | 3.32002i | 0.185247 | + | 0.124951i | ||||
\(707\) | −61.4226 | − | 43.0085i | −2.31003 | − | 1.61750i | ||||
\(708\) | −0.532547 | + | 1.54663i | −0.0200144 | + | 0.0581259i | ||||
\(709\) | −18.3304 | − | 0.640113i | −0.688414 | − | 0.0240400i | −0.311443 | − | 0.950265i | \(-0.600812\pi\) |
−0.376971 | + | 0.926225i | \(0.623035\pi\) | |||||||
\(710\) | −21.2851 | + | 16.3448i | −0.798816 | + | 0.613409i | ||||
\(711\) | −10.2453 | + | 9.22494i | −0.384230 | + | 0.345962i | ||||
\(712\) | −15.0627 | + | 3.47751i | −0.564500 | + | 0.130325i | ||||
\(713\) | 12.2565 | − | 2.82963i | 0.459009 | − | 0.105971i | ||||
\(714\) | −20.3647 | + | 18.3365i | −0.762132 | + | 0.686226i | ||||
\(715\) | −5.74438 | + | 0.152489i | −0.214828 | + | 0.00570275i | ||||
\(716\) | 11.7313 | + | 0.409667i | 0.438420 | + | 0.0153100i | ||||
\(717\) | −4.98413 | + | 14.4750i | −0.186136 | + | 0.540578i | ||||
\(718\) | −5.69263 | − | 3.98602i | −0.212447 | − | 0.148757i | ||||
\(719\) | 40.3550 | + | 27.2198i | 1.50499 | + | 1.01513i | 0.987176 | + | 0.159634i | \(0.0510314\pi\) |
0.517813 | + | 0.855494i | \(0.326746\pi\) | |||||||
\(720\) | −0.771664 | − | 3.47484i | −0.0287582 | − | 0.129500i | ||||
\(721\) | 18.5039 | − | 25.4685i | 0.689122 | − | 0.948495i | ||||
\(722\) | −8.25705 | − | 17.1120i | −0.307296 | − | 0.636843i | ||||
\(723\) | 9.62269 | − | 4.90300i | 0.357872 | − | 0.182345i | ||||
\(724\) | −18.5715 | − | 15.5833i | −0.690204 | − | 0.579150i | ||||
\(725\) | 9.49415 | − | 2.91012i | 0.352604 | − | 0.108079i | ||||
\(726\) | 2.09619 | + | 11.8881i | 0.0777971 | + | 0.441209i | ||||
\(727\) | −43.7808 | + | 13.3851i | −1.62374 | + | 0.496427i | −0.966373 | − | 0.257145i | \(-0.917218\pi\) |
−0.657366 | + | 0.753572i | \(0.728329\pi\) | |||||||
\(728\) | −2.28453 | + | 11.7529i | −0.0846705 | + | 0.435592i | ||||
\(729\) | −21.9680 | − | 2.30893i | −0.813629 | − | 0.0855158i | ||||
\(730\) | −8.00048 | − | 9.36054i | −0.296111 | − | 0.346449i | ||||
\(731\) | 0.809714 | − | 3.24758i | 0.0299483 | − | 0.120116i | ||||
\(732\) | 10.7061 | + | 0.936659i | 0.395707 | + | 0.0346199i | ||||
\(733\) | 10.0893 | − | 12.4593i | 0.372657 | − | 0.460194i | −0.555973 | − | 0.831201i | \(-0.687654\pi\) |
0.928630 | + | 0.371007i | \(0.120987\pi\) | |||||||
\(734\) | 8.66840 | − | 9.62724i | 0.319957 | − | 0.355348i | ||||
\(735\) | 2.79694 | + | 28.9382i | 0.103167 | + | 1.06740i | ||||
\(736\) | 2.06894 | − | 3.89111i | 0.0762622 | − | 0.143428i | ||||
\(737\) | 2.27662 | + | 0.696032i | 0.0838603 | + | 0.0256387i | ||||
\(738\) | −1.61512 | + | 13.1541i | −0.0594534 | + | 0.484209i | ||||
\(739\) | 10.7202 | + | 17.1559i | 0.394348 | + | 0.631089i | 0.984332 | − | 0.176326i | \(-0.0564213\pi\) |
−0.589983 | + | 0.807415i | \(0.700866\pi\) | |||||||
\(740\) | 4.68180 | + | 4.93004i | 0.172106 | + | 0.181232i | ||||
\(741\) | −10.5798 | − | 10.0823i | −0.388660 | − | 0.370383i | ||||
\(742\) | 5.30828 | − | 33.5151i | 0.194873 | − | 1.23038i | ||||
\(743\) | −34.9190 | + | 3.05501i | −1.28105 | + | 0.112078i | −0.707278 | − | 0.706935i | \(-0.750077\pi\) |
−0.573775 | + | 0.819013i | \(0.694522\pi\) | |||||||
\(744\) | −1.89404 | + | 2.80803i | −0.0694389 | + | 0.102947i | ||||
\(745\) | 27.8270 | − | 13.8865i | 1.01950 | − | 0.508763i | ||||
\(746\) | 5.83536 | − | 5.63514i | 0.213648 | − | 0.206317i | ||||
\(747\) | −15.8276 | − | 3.07658i | −0.579102 | − | 0.112566i | ||||
\(748\) | −4.15705 | − | 2.69962i | −0.151997 | − | 0.0987078i | ||||
\(749\) | 9.08333 | − | 15.7328i | 0.331898 | − | 0.574864i | ||||
\(750\) | 7.71595 | + | 10.7927i | 0.281747 | + | 0.394094i | ||||
\(751\) | −8.47865 | − | 10.1045i | −0.309390 | − | 0.368717i | 0.588834 | − | 0.808254i | \(-0.299587\pi\) |
−0.898225 | + | 0.439537i | \(0.855143\pi\) | |||||||
\(752\) | −6.98682 | − | 0.366164i | −0.254783 | − | 0.0133526i | ||||
\(753\) | 1.07180 | + | 1.32356i | 0.0390584 | + | 0.0482331i | ||||
\(754\) | −3.13785 | − | 4.65206i | −0.114274 | − | 0.169418i | ||||
\(755\) | 26.3233 | − | 3.00875i | 0.958004 | − | 0.109500i | ||||
\(756\) | −16.0397 | + | 16.6096i | −0.583360 | + | 0.604086i | ||||
\(757\) | 2.85388 | − | 6.12017i | 0.103726 | − | 0.222441i | −0.847594 | − | 0.530645i | \(-0.821950\pi\) |
0.951321 | + | 0.308203i | \(0.0997277\pi\) | |||||||
\(758\) | 2.86684 | + | 3.29792i | 0.104128 | + | 0.119786i | ||||
\(759\) | −1.46985 | − | 4.52372i | −0.0533520 | − | 0.164201i | ||||
\(760\) | 8.27476 | − | 5.15057i | 0.300157 | − | 0.186831i | ||||
\(761\) | 12.0059 | − | 36.9503i | 0.435213 | − | 1.33945i | −0.457655 | − | 0.889130i | \(-0.651311\pi\) |
0.892868 | − | 0.450318i | \(-0.148689\pi\) | |||||||
\(762\) | 11.2755 | − | 4.78618i | 0.408470 | − | 0.173385i | ||||
\(763\) | 50.3659 | + | 6.18416i | 1.82337 | + | 0.223882i | ||||
\(764\) | 3.50584 | − | 24.9453i | 0.126837 | − | 0.902491i | ||||
\(765\) | −18.6906 | + | 5.19059i | −0.675758 | + | 0.187666i | ||||
\(766\) | 0.0682247 | − | 1.95370i | 0.00246506 | − | 0.0705900i | ||||
\(767\) | 3.63604 | − | 1.39575i | 0.131290 | − | 0.0503975i | ||||
\(768\) | 0.307129 | + | 1.14622i | 0.0110826 | + | 0.0413607i | ||||
\(769\) | −12.5986 | − | 3.14119i | −0.454317 | − | 0.113274i | 0.00804002 | − | 0.999968i | \(-0.497441\pi\) |
−0.462357 | + | 0.886694i | \(0.652996\pi\) | |||||||
\(770\) | −8.07150 | + | 3.02112i | −0.290877 | + | 0.108874i | ||||
\(771\) | −14.8958 | + | 6.63202i | −0.536458 | + | 0.238847i | ||||
\(772\) | 18.8639 | − | 15.2757i | 0.678926 | − | 0.549783i | ||||
\(773\) | −0.873511 | − | 7.11418i | −0.0314180 | − | 0.255879i | −0.999975 | − | 0.00708691i | \(-0.997744\pi\) |
0.968557 | − | 0.248792i | \(-0.0800336\pi\) | |||||||
\(774\) | 0.169770 | − | 0.962815i | 0.00610227 | − | 0.0346077i | ||||
\(775\) | −2.71308 | + | 14.0114i | −0.0974567 | + | 0.503303i | ||||
\(776\) | 0.342865 | − | 0.124793i | 0.0123081 | − | 0.00447979i | ||||
\(777\) | 3.43936 | − | 14.8975i | 0.123386 | − | 0.534445i | ||||
\(778\) | −11.9370 | + | 1.89064i | −0.427963 | + | 0.0677827i | ||||
\(779\) | −35.4460 | + | 7.77992i | −1.26999 | + | 0.278745i | ||||
\(780\) | 4.56182 | − | 5.94950i | 0.163339 | − | 0.213026i | ||||
\(781\) | −0.761473 | + | 10.8896i | −0.0272477 | + | 0.389660i | ||||
\(782\) | −21.7662 | − | 10.1497i | −0.778357 | − | 0.362954i | ||||
\(783\) | −0.188866 | − | 10.8201i | −0.00674951 | − | 0.386679i | ||||
\(784\) | 1.52488 | + | 10.8501i | 0.0544602 | + | 0.387504i | ||||
\(785\) | −15.4993 | + | 13.7225i | −0.553192 | + | 0.489778i | ||||
\(786\) | −7.79407 | + | 1.65668i | −0.278005 | + | 0.0590918i | ||||
\(787\) | −0.471089 | − | 0.725414i | −0.0167925 | − | 0.0258582i | 0.830175 | − | 0.557503i | \(-0.188241\pi\) |
−0.846967 | + | 0.531645i | \(0.821574\pi\) | |||||||
\(788\) | 3.55034 | + | 15.3782i | 0.126476 | + | 0.547827i | ||||
\(789\) | −9.63683 | − | 23.8520i | −0.343080 | − | 0.849154i | ||||
\(790\) | 7.40453 | − | 17.8943i | 0.263441 | − | 0.636651i | ||||
\(791\) | −34.9795 | − | 31.4957i | −1.24373 | − | 1.11986i | ||||
\(792\) | −1.26633 | − | 0.701940i | −0.0449972 | − | 0.0249423i | ||||
\(793\) | −14.6770 | − | 20.9609i | −0.521196 | − | 0.744345i | ||||
\(794\) | −26.3309 | − | 25.4275i | −0.934450 | − | 0.902388i | ||||
\(795\) | −12.3325 | + | 17.3027i | −0.437389 | + | 0.613664i | ||||
\(796\) | −4.02656 | − | 16.1497i | −0.142718 | − | 0.572409i | ||||
\(797\) | 7.28743 | + | 46.0110i | 0.258134 | + | 1.62979i | 0.687164 | + | 0.726503i | \(0.258856\pi\) |
−0.429030 | + | 0.903290i | \(0.641144\pi\) | |||||||
\(798\) | −19.9260 | − | 9.13152i | −0.705372 | − | 0.323252i | ||||
\(799\) | 38.1279i | 1.34887i | ||||||||
\(800\) | 3.08114 | + | 3.93784i | 0.108935 | + | 0.139224i | ||||
\(801\) | 8.41656 | + | 23.1243i | 0.297384 | + | 0.817057i | ||||
\(802\) | −21.1035 | + | 15.9026i | −0.745191 | + | 0.561542i | ||||
\(803\) | −5.00800 | − | 0.0874149i | −0.176728 | − | 0.00308480i | ||||
\(804\) | −2.57493 | + | 1.73681i | −0.0908109 | + | 0.0612527i | ||||
\(805\) | −36.6903 | + | 19.9383i | −1.29316 | + | 0.702733i | ||||
\(806\) | 8.02053 | − | 0.842992i | 0.282511 | − | 0.0296931i | ||||
\(807\) | 0.202555 | − | 2.31521i | 0.00713028 | − | 0.0814994i | ||||
\(808\) | 9.11358 | + | 15.1675i | 0.320615 | + | 0.533592i | ||||
\(809\) | −2.72177 | + | 12.8049i | −0.0956922 | + | 0.450196i | 0.904049 | + | 0.427430i | \(0.140581\pi\) |
−0.999741 | + | 0.0227667i | \(0.992752\pi\) | |||||||
\(810\) | 3.56270 | − | 1.26306i | 0.125181 | − | 0.0443795i | ||||
\(811\) | −40.8470 | − | 31.9132i | −1.43433 | − | 1.12062i | −0.972294 | − | 0.233763i | \(-0.924896\pi\) |
−0.462038 | − | 0.886860i | \(-0.652882\pi\) | |||||||
\(812\) | −6.72122 | − | 5.06480i | −0.235869 | − | 0.177740i | ||||
\(813\) | 9.59994 | − | 31.4000i | 0.336684 | − | 1.10125i | ||||
\(814\) | 2.76384 | − | 0.0965154i | 0.0968725 | − | 0.00338286i | ||||
\(815\) | −5.07949 | + | 4.19028i | −0.177927 | + | 0.146779i | ||||
\(816\) | 6.15033 | − | 1.99836i | 0.215304 | − | 0.0699567i | ||||
\(817\) | 2.64132 | − | 0.436289i | 0.0924079 | − | 0.0152638i | ||||
\(818\) | −6.81137 | − | 6.81137i | −0.238154 | − | 0.238154i | ||||
\(819\) | 19.0126 | + | 1.32949i | 0.664355 | + | 0.0464562i | ||||
\(820\) | −5.91338 | − | 17.6521i | −0.206504 | − | 0.616439i | ||||
\(821\) | −19.7693 | + | 40.5332i | −0.689955 | + | 1.41462i | 0.209591 | + | 0.977789i | \(0.432787\pi\) |
−0.899545 | + | 0.436828i | \(0.856102\pi\) | |||||||
\(822\) | 0.477009 | − | 27.3279i | 0.0166376 | − | 0.953168i | ||||
\(823\) | −6.97844 | + | 0.856845i | −0.243253 | + | 0.0298677i | −0.242577 | − | 0.970132i | \(-0.577993\pi\) |
−0.000675652 | 1.00000i | \(0.500215\pi\) | ||||||||
\(824\) | −6.43372 | + | 3.71451i | −0.224129 | + | 0.129401i | ||||
\(825\) | 5.36744 | + | 0.560239i | 0.186870 | + | 0.0195050i | ||||
\(826\) | 4.47466 | − | 3.75468i | 0.155693 | − | 0.130642i | ||||
\(827\) | −9.91301 | + | 23.3536i | −0.344709 | + | 0.812084i | 0.653756 | + | 0.756705i | \(0.273192\pi\) |
−0.998465 | + | 0.0553788i | \(0.982363\pi\) | |||||||
\(828\) | −6.54927 | − | 2.51403i | −0.227603 | − | 0.0873686i | ||||
\(829\) | −2.09397 | + | 19.9228i | −0.0727265 | + | 0.691947i | 0.896040 | + | 0.443973i | \(0.146431\pi\) |
−0.968767 | + | 0.247974i | \(0.920235\pi\) | |||||||
\(830\) | 21.9257 | − | 5.67877i | 0.761051 | − | 0.197113i | ||||
\(831\) | −13.9875 | + | 6.82217i | −0.485222 | + | 0.236658i | ||||
\(832\) | 1.62060 | − | 2.31446i | 0.0561843 | − | 0.0802395i | ||||
\(833\) | 58.6132 | − | 11.3933i | 2.03083 | − | 0.394753i | ||||
\(834\) | −10.1229 | − | 4.08992i | −0.350528 | − | 0.141622i | ||||
\(835\) | 32.6359 | − | 4.30854i | 1.12941 | − | 0.149103i | ||||
\(836\) | 0.662586 | − | 3.90887i | 0.0229160 | − | 0.135191i | ||||
\(837\) | 13.8579 | + | 7.06094i | 0.478998 | + | 0.244062i | ||||
\(838\) | 7.35964 | + | 17.3382i | 0.254234 | + | 0.598939i | ||||
\(839\) | 0.747557 | + | 21.4072i | 0.0258085 | + | 0.739060i | 0.941467 | + | 0.337104i | \(0.109447\pi\) |
−0.915659 | + | 0.401956i | \(0.868330\pi\) | |||||||
\(840\) | 3.56396 | − | 10.6643i | 0.122968 | − | 0.367953i | ||||
\(841\) | −24.8118 | + | 3.48708i | −0.855581 | + | 0.120244i | ||||
\(842\) | 3.93031 | − | 7.09046i | 0.135447 | − | 0.244353i | ||||
\(843\) | −5.24141 | + | 19.5612i | −0.180524 | + | 0.673724i | ||||
\(844\) | −0.405004 | − | 3.85336i | −0.0139408 | − | 0.132638i | ||||
\(845\) | 11.2073 | − | 0.493360i | 0.385544 | − | 0.0169721i | ||||
\(846\) | 0.776895 | + | 11.1101i | 0.0267102 | + | 0.381974i | ||||
\(847\) | 15.4483 | − | 40.2441i | 0.530809 | − | 1.38281i | ||||
\(848\) | −4.36130 | + | 6.71582i | −0.149768 | + | 0.230622i | ||||
\(849\) | 2.32309 | + | 0.845536i | 0.0797282 | + | 0.0290187i | ||||
\(850\) | 20.5516 | − | 17.8912i | 0.704914 | − | 0.613663i | ||||
\(851\) | 13.1960 | − | 2.32681i | 0.452352 | − | 0.0797619i | ||||
\(852\) | −10.4159 | − | 9.71296i | −0.356842 | − | 0.332760i | ||||
\(853\) | −8.35273 | + | 13.9013i | −0.285992 | + | 0.475971i | −0.966464 | − | 0.256804i | \(-0.917331\pi\) |
0.680472 | + | 0.732774i | \(0.261775\pi\) | |||||||
\(854\) | −31.0479 | − | 22.5576i | −1.06244 | − | 0.771907i | ||||
\(855\) | −9.74312 | − | 12.0748i | −0.333208 | − | 0.412949i | ||||
\(856\) | −3.46832 | + | 2.51988i | −0.118545 | + | 0.0861277i | ||||
\(857\) | −1.62613 | − | 18.5867i | −0.0555474 | − | 0.634910i | −0.972033 | − | 0.234843i | \(-0.924542\pi\) |
0.916486 | − | 0.400067i | \(-0.131013\pi\) | |||||||
\(858\) | −0.581881 | − | 2.99352i | −0.0198651 | − | 0.102197i | ||||
\(859\) | 6.97076 | + | 13.1101i | 0.237839 | + | 0.447311i | 0.973071 | − | 0.230505i | \(-0.0740378\pi\) |
−0.735232 | + | 0.677816i | \(0.762927\pi\) | |||||||
\(860\) | 0.367481 | + | 1.32325i | 0.0125310 | + | 0.0451224i | ||||
\(861\) | −25.7744 | + | 32.9897i | −0.878388 | + | 1.12429i | ||||
\(862\) | −1.08439 | − | 20.6914i | −0.0369345 | − | 0.704752i | ||||
\(863\) | 17.7436 | − | 11.5229i | 0.604001 | − | 0.392243i | −0.206102 | − | 0.978531i | \(-0.566078\pi\) |
0.810103 | + | 0.586288i | \(0.199411\pi\) | |||||||
\(864\) | 5.05217 | − | 2.04121i | 0.171878 | − | 0.0694433i | ||||
\(865\) | −48.4228 | − | 5.49944i | −1.64642 | − | 0.186987i | ||||
\(866\) | −23.0056 | − | 4.89000i | −0.781763 | − | 0.166169i | ||||
\(867\) | −5.40017 | − | 14.0679i | −0.183399 | − | 0.477771i | ||||
\(868\) | 10.9621 | − | 5.11170i | 0.372077 | − | 0.173503i | ||||
\(869\) | −3.45317 | − | 7.08005i | −0.117141 | − | 0.240174i | ||||
\(870\) | 2.35307 | + | 4.71529i | 0.0797766 | + | 0.159863i | ||||
\(871\) | 7.10877 | + | 2.03841i | 0.240871 | + | 0.0690687i | ||||
\(872\) | −10.2645 | − | 6.16754i | −0.347600 | − | 0.208859i | ||||
\(873\) | −0.263686 | − | 0.517512i | −0.00892440 | − | 0.0175151i | ||||
\(874\) | 0.543284 | − | 19.2018i | 0.0183769 | − | 0.649510i | ||||
\(875\) | −3.76811 | − | 47.2271i | −0.127385 | − | 1.59657i | ||||
\(876\) | 4.20045 | − | 5.00590i | 0.141920 | − | 0.169134i | ||||
\(877\) | 17.4213 | − | 18.6820i | 0.588275 | − | 0.630848i | −0.365700 | − | 0.930733i | \(-0.619170\pi\) |
0.953975 | + | 0.299885i | \(0.0969483\pi\) | |||||||
\(878\) | 16.4891 | − | 5.67764i | 0.556479 | − | 0.191611i | ||||
\(879\) | −15.0951 | − | 15.6314i | −0.509144 | − | 0.527234i | ||||
\(880\) | 2.03006 | + | 0.123431i | 0.0684335 | + | 0.00416087i | ||||
\(881\) | 46.0416 | + | 20.4990i | 1.55118 | + | 0.690630i | 0.990514 | − | 0.137411i | \(-0.0438780\pi\) |
0.560667 | + | 0.828041i | \(0.310545\pi\) | |||||||
\(882\) | 16.8472 | − | 4.51420i | 0.567275 | − | 0.152001i | ||||
\(883\) | −16.6691 | + | 10.0158i | −0.560960 | + | 0.337059i | −0.767165 | − | 0.641450i | \(-0.778333\pi\) |
0.206205 | + | 0.978509i | \(0.433889\pi\) | |||||||
\(884\) | −13.0579 | − | 8.15948i | −0.439184 | − | 0.274433i | ||||
\(885\) | −3.55628 | + | 0.855139i | −0.119543 | + | 0.0287452i | ||||
\(886\) | 2.18324 | + | 10.2713i | 0.0733472 | + | 0.345072i | ||||
\(887\) | 2.16151 | − | 2.01564i | 0.0725765 | − | 0.0676787i | −0.644870 | − | 0.764292i | \(-0.723089\pi\) |
0.717447 | + | 0.696614i | \(0.245311\pi\) | |||||||
\(888\) | −2.17139 | + | 2.88154i | −0.0728672 | + | 0.0966980i | ||||
\(889\) | −43.3165 | − | 6.08774i | −1.45279 | − | 0.204176i | ||||
\(890\) | −24.6638 | − | 24.2197i | −0.826734 | − | 0.811845i | ||||
\(891\) | 0.575977 | − | 1.42559i | 0.0192960 | − | 0.0477592i | ||||
\(892\) | −25.9305 | − | 4.10699i | −0.868218 | − | 0.137512i | ||||
\(893\) | −27.9928 | + | 12.1016i | −0.936743 | + | 0.404964i | ||||
\(894\) | 9.70087 | + | 13.3521i | 0.324446 | + | 0.446561i | ||||
\(895\) | 13.3300 | + | 22.6113i | 0.445573 | + | 0.755812i | ||||
\(896\) | 1.16802 | − | 4.07339i | 0.0390210 | − | 0.136082i | ||||
\(897\) | −4.81050 | − | 13.9707i | −0.160618 | − | 0.466468i | ||||
\(898\) | −8.13776 | − | 26.6174i | −0.271561 | − | 0.888235i | ||||
\(899\) | −1.93883 | + | 5.32690i | −0.0646638 | + | 0.177662i | ||||
\(900\) | 5.62400 | − | 5.63209i | 0.187467 | − | 0.187736i | ||||
\(901\) | 37.7925 | + | 21.8195i | 1.25905 | + | 0.726913i | ||||
\(902\) | −6.97044 | − | 2.95878i | −0.232090 | − | 0.0985164i | ||||
\(903\) | 2.02614 | − | 2.33081i | 0.0674258 | − | 0.0775645i | ||||
\(904\) | 4.51793 | + | 10.1474i | 0.150264 | + | 0.337499i | ||||
\(905\) | 7.05647 | − | 53.7486i | 0.234565 | − | 1.78666i | ||||
\(906\) | 3.87558 | + | 13.5158i | 0.128758 | + | 0.449031i | ||||
\(907\) | 46.1157 | − | 32.2906i | 1.53125 | − | 1.07219i | 0.561682 | − | 0.827353i | \(-0.310154\pi\) |
0.969564 | − | 0.244837i | \(-0.0787346\pi\) | |||||||
\(908\) | 8.08126 | − | 0.141059i | 0.268186 | − | 0.00468121i | ||||
\(909\) | 22.1965 | − | 17.3418i | 0.736211 | − | 0.575191i | ||||
\(910\) | −24.9058 | + | 9.82100i | −0.825619 | + | 0.325563i | ||||
\(911\) | −25.8266 | − | 8.39156i | −0.855672 | − | 0.278025i | −0.151852 | − | 0.988403i | \(-0.548524\pi\) |
−0.703820 | + | 0.710379i | \(0.748524\pi\) | |||||||
\(912\) | 3.41924 | + | 3.88119i | 0.113222 | + | 0.128519i | ||||
\(913\) | 4.18253 | − | 8.20868i | 0.138422 | − | 0.271668i | ||||
\(914\) | −10.3070 | + | 6.44054i | −0.340926 | + | 0.213034i | ||||
\(915\) | 11.1039 | + | 21.3117i | 0.367084 | + | 0.704543i | ||||
\(916\) | −21.1252 | + | 11.2325i | −0.697997 | + | 0.371131i | ||||
\(917\) | 26.9042 | + | 9.26384i | 0.888453 | + | 0.305919i | ||||
\(918\) | −12.5495 | − | 26.9126i | −0.414197 | − | 0.888247i | ||||
\(919\) | −22.4958 | + | 50.5264i | −0.742068 | + | 1.66671i | 0.00324366 | + | 0.999995i | \(0.498968\pi\) |
−0.745311 | + | 0.666717i | \(0.767699\pi\) | |||||||
\(920\) | 9.82360 | − | 0.776688i | 0.323874 | − | 0.0256066i | ||||
\(921\) | −2.40401 | + | 0.168105i | −0.0792147 | + | 0.00553923i | ||||
\(922\) | 11.3898 | + | 9.90096i | 0.375102 | + | 0.326071i | ||||
\(923\) | −1.77472 | + | 33.8636i | −0.0584155 | + | 1.11463i | ||||
\(924\) | −2.28683 | − | 3.96091i | −0.0752313 | − | 0.130304i | ||||
\(925\) | −3.66726 | + | 14.7538i | −0.120579 | + | 0.485101i | ||||
\(926\) | −7.81451 | − | 1.37791i | −0.256801 | − | 0.0452809i | ||||
\(927\) | 7.11700 | + | 9.44457i | 0.233753 | + | 0.310200i | ||||
\(928\) | 0.962846 | + | 1.73702i | 0.0316070 | + | 0.0570205i | ||||
\(929\) | 28.0288 | − | 6.98837i | 0.919595 | − | 0.229281i | 0.246763 | − | 0.969076i | \(-0.420633\pi\) |
0.672832 | + | 0.739795i | \(0.265078\pi\) | |||||||
\(930\) | −7.57126 | − | 0.195536i | −0.248271 | − | 0.00641189i | ||||
\(931\) | 26.9682 | + | 39.4166i | 0.883849 | + | 1.29183i | ||||
\(932\) | 9.31866 | − | 9.31866i | 0.305243 | − | 0.305243i | ||||
\(933\) | 2.86429 | − | 2.48989i | 0.0937726 | − | 0.0815153i | ||||
\(934\) | 2.38265 | + | 3.04965i | 0.0779627 | + | 0.0997877i | ||||
\(935\) | 0.0927361 | − | 11.0832i | 0.00303280 | − | 0.362458i | ||||
\(936\) | −3.97121 | − | 2.11153i | −0.129803 | − | 0.0690175i | ||||
\(937\) | −30.3012 | − | 32.4940i | −0.989896 | − | 1.06153i | −0.998103 | − | 0.0615668i | \(-0.980390\pi\) |
0.00820735 | − | 0.999966i | \(-0.497387\pi\) | |||||||
\(938\) | 11.0761 | − | 0.580472i | 0.361646 | − | 0.0189531i | ||||
\(939\) | −4.90322 | − | 5.44558i | −0.160011 | − | 0.177710i | ||||
\(940\) | −7.70859 | − | 13.6135i | −0.251426 | − | 0.444022i | ||||
\(941\) | −3.48312 | + | 5.57415i | −0.113546 | + | 0.181712i | −0.899940 | − | 0.436013i | \(-0.856390\pi\) |
0.786394 | + | 0.617725i | \(0.211946\pi\) | |||||||
\(942\) | −8.53758 | − | 6.91360i | −0.278169 | − | 0.225257i | ||||
\(943\) | −35.4397 | − | 9.49605i | −1.15408 | − | 0.309234i | ||||
\(944\) | −1.32505 | + | 0.379953i | −0.0431269 | + | 0.0123664i | ||||
\(945\) | −50.5982 | − | 10.2754i | −1.64596 | − | 0.334258i | ||||
\(946\) | 0.502083 | + | 0.244882i | 0.0163241 | + | 0.00796180i | ||||
\(947\) | 44.7273 | − | 24.7927i | 1.45344 | − | 0.805656i | 0.456961 | − | 0.889486i | \(-0.348938\pi\) |
0.996480 | + | 0.0838307i | \(0.0267155\pi\) | |||||||
\(948\) | 10.0138 | + | 2.31186i | 0.325233 | + | 0.0750859i | ||||
\(949\) | −15.5593 | −0.505075 | ||||||||
\(950\) | 19.6584 | + | 9.41004i | 0.637801 | + | 0.305302i | ||||
\(951\) | 13.7155 | 0.444756 | ||||||||
\(952\) | −22.5012 | − | 5.19481i | −0.729267 | − | 0.168365i | ||||
\(953\) | 22.0691 | − | 12.2331i | 0.714889 | − | 0.396270i | −0.0850291 | − | 0.996378i | \(-0.527098\pi\) |
0.799918 | + | 0.600109i | \(0.204876\pi\) | |||||||
\(954\) | 11.4570 | + | 5.58794i | 0.370933 | + | 0.180916i | ||||
\(955\) | 51.2476 | − | 23.3771i | 1.65833 | − | 0.756466i | ||||
\(956\) | −12.4012 | + | 3.55600i | −0.401085 | + | 0.115009i | ||||
\(957\) | 2.07052 | + | 0.554795i | 0.0669305 | + | 0.0179340i | ||||
\(958\) | 8.78658 | + | 7.11523i | 0.283881 | + | 0.229883i | ||||
\(959\) | −51.7215 | + | 82.7717i | −1.67017 | + | 2.67284i | ||||
\(960\) | −1.79193 | + | 1.95697i | −0.0578344 | + | 0.0631608i | ||||
\(961\) | 15.2915 | + | 16.9830i | 0.493275 | + | 0.547837i | ||||
\(962\) | 8.57908 | − | 0.449611i | 0.276601 | − | 0.0144960i | ||||
\(963\) | 4.65422 | + | 4.99104i | 0.149980 | + | 0.160834i | ||||
\(964\) | 8.03574 | + | 4.27268i | 0.258814 | + | 0.137614i | ||||
\(965\) | 51.4781 | + | 17.2037i | 1.65714 | + | 0.553808i | ||||
\(966\) | −13.6433 | − | 17.4626i | −0.438965 | − | 0.561850i | ||||
\(967\) | −8.34754 | + | 7.25641i | −0.268439 | + | 0.233350i | −0.779820 | − | 0.626004i | \(-0.784690\pi\) |
0.511381 | + | 0.859354i | \(0.329134\pi\) | |||||||
\(968\) | −7.19320 | + | 7.19320i | −0.231198 | + | 0.231198i | ||||
\(969\) | 20.1469 | − | 19.7150i | 0.647211 | − | 0.633338i | ||||
\(970\) | 0.647453 | + | 0.496439i | 0.0207885 | + | 0.0159397i | ||||
\(971\) | 1.47073 | − | 0.366694i | 0.0471980 | − | 0.0117678i | −0.218251 | − | 0.975893i | \(-0.570035\pi\) |
0.265449 | + | 0.964125i | \(0.414480\pi\) | |||||||
\(972\) | −6.95258 | − | 12.5428i | −0.223004 | − | 0.402310i | ||||
\(973\) | 23.4635 | + | 31.1371i | 0.752204 | + | 0.998208i | ||||
\(974\) | −5.58594 | − | 0.984953i | −0.178985 | − | 0.0315599i | ||||
\(975\) | 16.7013 | + | 1.44908i | 0.534870 | + | 0.0464076i | ||||
\(976\) | 4.52826 | + | 7.84317i | 0.144946 | + | 0.251054i | ||||
\(977\) | 0.692479 | − | 13.2133i | 0.0221544 | − | 0.422731i | −0.964928 | − | 0.262516i | \(-0.915448\pi\) |
0.987082 | − | 0.160215i | \(-0.0512188\pi\) | |||||||
\(978\) | −2.63732 | − | 2.29258i | −0.0843321 | − | 0.0733088i | ||||
\(979\) | −14.0264 | + | 0.980824i | −0.448287 | + | 0.0313473i | ||||
\(980\) | −18.6242 | + | 15.9182i | −0.594930 | + | 0.508488i | ||||
\(981\) | −7.75333 | + | 17.4143i | −0.247545 | + | 0.555994i | ||||
\(982\) | 13.9618 | + | 29.9411i | 0.445537 | + | 0.955458i | ||||
\(983\) | −9.22685 | − | 3.17706i | −0.294291 | − | 0.101333i | 0.174456 | − | 0.984665i | \(-0.444183\pi\) |
−0.468747 | + | 0.883332i | \(0.655294\pi\) | |||||||
\(984\) | 8.72302 | − | 4.63811i | 0.278080 | − | 0.147858i | ||||
\(985\) | −24.7269 | + | 25.1804i | −0.787865 | + | 0.802315i | ||||
\(986\) | 9.17854 | − | 5.73539i | 0.292304 | − | 0.182652i | ||||
\(987\) | −15.9720 | + | 31.3469i | −0.508395 | + | 0.997782i | ||||
\(988\) | 1.84604 | − | 12.1766i | 0.0587302 | − | 0.387391i | ||||
\(989\) | 2.57415 | + | 0.836392i | 0.0818532 | + | 0.0265957i | ||||
\(990\) | −0.198808 | − | 3.23142i | −0.00631854 | − | 0.102701i | ||||
\(991\) | −31.9467 | + | 24.9595i | −1.01482 | + | 0.792864i | −0.978452 | − | 0.206475i | \(-0.933801\pi\) |
−0.0363674 | + | 0.999338i | \(0.511579\pi\) | |||||||
\(992\) | −2.85389 | + | 0.0498149i | −0.0906111 | + | 0.00158162i | ||||
\(993\) | −5.18949 | + | 3.63372i | −0.164684 | + | 0.115313i | ||||
\(994\) | 14.0183 | + | 48.8877i | 0.444634 | + | 1.55062i | ||||
\(995\) | 25.6089 | − | 27.0056i | 0.811858 | − | 0.856136i | ||||
\(996\) | 4.88882 | + | 10.9805i | 0.154908 | + | 0.347929i | ||||
\(997\) | −34.1715 | + | 39.3098i | −1.08222 | + | 1.24495i | −0.114368 | + | 0.993438i | \(0.536484\pi\) |
−0.967853 | + | 0.251515i | \(0.919071\pi\) | |||||||
\(998\) | 30.2623 | + | 12.8456i | 0.957935 | + | 0.406619i | ||||
\(999\) | 14.3481 | + | 8.28387i | 0.453953 | + | 0.262090i |
(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 | 950.2.bi.a.3.17 | ✓ | 2400 | |
19.13 | odd | 18 | inner | 950.2.bi.a.203.34 | yes | 2400 | |
25.17 | odd | 20 | inner | 950.2.bi.a.117.34 | yes | 2400 | |
475.317 | even | 180 | inner | 950.2.bi.a.317.17 | yes | 2400 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.bi.a.3.17 | ✓ | 2400 | 1.1 | even | 1 | trivial | |
950.2.bi.a.117.34 | yes | 2400 | 25.17 | odd | 20 | inner | |
950.2.bi.a.203.34 | yes | 2400 | 19.13 | odd | 18 | inner | |
950.2.bi.a.317.17 | yes | 2400 | 475.317 | even | 180 | inner |