Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(36,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(78))
chi = DirichletCharacter(H, H._module([0, 47]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.36");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.bg (of order \(78\), degree \(24\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(1440\) |
Relative dimension: | \(60\) over \(\Q(\zeta_{78})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{78}]$ |
Embedding invariants
Embedding label | 621.35 | ||
Character | \(\chi\) | \(=\) | 845.621 |
Dual form | 845.2.bg.a.381.35 |
$q$-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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{17}{78}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.370506 | + | 0.302509i | 0.261987 | + | 0.213906i | 0.754330 | − | 0.656495i | \(-0.227962\pi\) |
−0.492343 | + | 0.870401i | \(0.663859\pi\) | |||||||
\(3\) | 0.900783 | + | 0.0727188i | 0.520068 | + | 0.0419842i | 0.337714 | − | 0.941249i | \(-0.390346\pi\) |
0.182354 | + | 0.983233i | \(0.441628\pi\) | |||||||
\(4\) | −0.354288 | − | 1.73542i | −0.177144 | − | 0.867709i | ||||
\(5\) | −0.992709 | + | 0.120537i | −0.443953 | + | 0.0539056i | ||||
\(6\) | 0.311748 | + | 0.299438i | 0.127270 | + | 0.122245i | ||||
\(7\) | −1.50574 | − | 2.38113i | −0.569115 | − | 0.899984i | 0.430882 | − | 0.902408i | \(-0.358203\pi\) |
−0.999997 | + | 0.00242454i | \(0.999228\pi\) | |||||||
\(8\) | 0.838283 | − | 1.59721i | 0.296378 | − | 0.564701i | ||||
\(9\) | −2.15503 | − | 0.350226i | −0.718343 | − | 0.116742i | ||||
\(10\) | −0.404268 | − | 0.255644i | −0.127841 | − | 0.0808416i | ||||
\(11\) | −0.0262280 | − | 0.161388i | −0.00790805 | − | 0.0486602i | 0.982796 | − | 0.184693i | \(-0.0591290\pi\) |
−0.990704 | + | 0.136032i | \(0.956565\pi\) | |||||||
\(12\) | −0.192939 | − | 1.58900i | −0.0556968 | − | 0.458705i | ||||
\(13\) | 3.19984 | + | 1.66164i | 0.887475 | + | 0.460856i | ||||
\(14\) | 0.162429 | − | 1.33772i | 0.0434110 | − | 0.357522i | ||||
\(15\) | −0.902981 | + | 0.0363889i | −0.233149 | + | 0.00939557i | ||||
\(16\) | −2.46520 | + | 1.05032i | −0.616300 | + | 0.262581i | ||||
\(17\) | −4.54303 | + | 2.87284i | −1.10185 | + | 0.696766i | −0.956242 | − | 0.292577i | \(-0.905487\pi\) |
−0.145605 | + | 0.989343i | \(0.546513\pi\) | |||||||
\(18\) | −0.692505 | − | 0.781676i | −0.163225 | − | 0.184243i | ||||
\(19\) | −0.812143 | − | 0.468891i | −0.186318 | − | 0.107571i | 0.403940 | − | 0.914786i | \(-0.367641\pi\) |
−0.590258 | + | 0.807215i | \(0.700974\pi\) | |||||||
\(20\) | 0.560887 | + | 1.68006i | 0.125418 | + | 0.375673i | ||||
\(21\) | −1.18319 | − | 2.25438i | −0.258193 | − | 0.491946i | ||||
\(22\) | 0.0391035 | − | 0.0677293i | 0.00833690 | − | 0.0144399i | ||||
\(23\) | −2.99675 | − | 5.19053i | −0.624866 | − | 1.08230i | −0.988567 | − | 0.150784i | \(-0.951820\pi\) |
0.363701 | − | 0.931516i | \(-0.381513\pi\) | |||||||
\(24\) | 0.871259 | − | 1.37779i | 0.177845 | − | 0.281239i | ||||
\(25\) | 0.970942 | − | 0.239316i | 0.194188 | − | 0.0478631i | ||||
\(26\) | 0.682898 | + | 1.58363i | 0.133927 | + | 0.310575i | ||||
\(27\) | −4.54811 | − | 1.12101i | −0.875283 | − | 0.215738i | ||||
\(28\) | −3.59880 | + | 3.45669i | −0.680109 | + | 0.653253i | ||||
\(29\) | −1.78218 | + | 2.18278i | −0.330943 | + | 0.405332i | −0.913094 | − | 0.407749i | \(-0.866314\pi\) |
0.582151 | + | 0.813081i | \(0.302211\pi\) | |||||||
\(30\) | −0.345568 | − | 0.259677i | −0.0630918 | − | 0.0474104i | ||||
\(31\) | 1.11082 | − | 4.50679i | 0.199510 | − | 0.809443i | −0.782814 | − | 0.622255i | \(-0.786217\pi\) |
0.982324 | − | 0.187188i | \(-0.0599373\pi\) | |||||||
\(32\) | −4.69633 | − | 1.36031i | −0.830202 | − | 0.240471i | ||||
\(33\) | −0.0118899 | − | 0.147283i | −0.00206976 | − | 0.0256386i | ||||
\(34\) | −2.55228 | − | 0.309903i | −0.437712 | − | 0.0531479i | ||||
\(35\) | 1.78177 | + | 2.18228i | 0.301175 | + | 0.368872i | ||||
\(36\) | 0.155712 | + | 3.86396i | 0.0259520 | + | 0.643993i | ||||
\(37\) | −10.0083 | + | 2.89893i | −1.64535 | + | 0.476581i | −0.966280 | − | 0.257493i | \(-0.917103\pi\) |
−0.679069 | + | 0.734075i | \(0.737616\pi\) | |||||||
\(38\) | −0.159060 | − | 0.419407i | −0.0258030 | − | 0.0680369i | ||||
\(39\) | 2.76153 | + | 1.72947i | 0.442198 | + | 0.276936i | ||||
\(40\) | −0.639648 | + | 1.68661i | −0.101137 | + | 0.266677i | ||||
\(41\) | 0.110836 | − | 1.37295i | 0.0173097 | − | 0.214420i | −0.982320 | − | 0.187210i | \(-0.940056\pi\) |
0.999630 | − | 0.0272100i | \(-0.00866228\pi\) | |||||||
\(42\) | 0.243591 | − | 1.19319i | 0.0375869 | − | 0.184113i | ||||
\(43\) | 3.32764 | − | 11.4884i | 0.507461 | − | 1.75196i | −0.140296 | − | 0.990110i | \(-0.544805\pi\) |
0.647756 | − | 0.761848i | \(-0.275708\pi\) | |||||||
\(44\) | −0.270783 | + | 0.102694i | −0.0408220 | + | 0.0154818i | ||||
\(45\) | 2.18153 | + | 0.0879127i | 0.325203 | + | 0.0131052i | ||||
\(46\) | 0.459866 | − | 2.82967i | 0.0678035 | − | 0.417212i | ||||
\(47\) | 1.17660 | − | 1.32811i | 0.171625 | − | 0.193725i | −0.656404 | − | 0.754409i | \(-0.727923\pi\) |
0.828030 | + | 0.560684i | \(0.189462\pi\) | |||||||
\(48\) | −2.29699 | + | 0.766848i | −0.331542 | + | 0.110685i | ||||
\(49\) | −0.401703 | + | 0.846571i | −0.0573862 | + | 0.120939i | ||||
\(50\) | 0.432135 | + | 0.205051i | 0.0611131 | + | 0.0289985i | ||||
\(51\) | −4.30120 | + | 2.25744i | −0.602288 | + | 0.316105i | ||||
\(52\) | 1.74998 | − | 6.14175i | 0.242678 | − | 0.851708i | ||||
\(53\) | 9.12504 | + | 4.78919i | 1.25342 | + | 0.657846i | 0.955005 | − | 0.296590i | \(-0.0958496\pi\) |
0.298416 | + | 0.954436i | \(0.403542\pi\) | |||||||
\(54\) | −1.34599 | − | 1.79118i | −0.183166 | − | 0.243749i | ||||
\(55\) | 0.0454899 | + | 0.157049i | 0.00613386 | + | 0.0211765i | ||||
\(56\) | −5.06542 | + | 0.408923i | −0.676895 | + | 0.0546446i | ||||
\(57\) | −0.697468 | − | 0.481427i | −0.0923819 | − | 0.0637666i | ||||
\(58\) | −1.32062 | + | 0.269607i | −0.173406 | + | 0.0354011i | ||||
\(59\) | 2.97010 | − | 6.97109i | 0.386674 | − | 0.907558i | −0.606942 | − | 0.794746i | \(-0.707604\pi\) |
0.993616 | − | 0.112812i | \(-0.0359858\pi\) | |||||||
\(60\) | 0.383065 | + | 1.55416i | 0.0494535 | + | 0.200641i | ||||
\(61\) | 0.291738 | − | 7.23940i | 0.0373532 | − | 0.926910i | −0.866528 | − | 0.499128i | \(-0.833654\pi\) |
0.903882 | − | 0.427783i | \(-0.140705\pi\) | |||||||
\(62\) | 1.77491 | − | 1.33376i | 0.225414 | − | 0.169388i | ||||
\(63\) | 2.41097 | + | 5.65876i | 0.303754 | + | 0.712937i | ||||
\(64\) | 1.71589 | + | 2.48589i | 0.214486 | + | 0.310736i | ||||
\(65\) | −3.37679 | − | 1.26383i | −0.418840 | − | 0.156759i | ||||
\(66\) | 0.0401490 | − | 0.0581659i | 0.00494200 | − | 0.00715972i | ||||
\(67\) | 10.8939 | + | 2.22400i | 1.33090 | + | 0.271705i | 0.812264 | − | 0.583289i | \(-0.198235\pi\) |
0.518636 | + | 0.854995i | \(0.326440\pi\) | |||||||
\(68\) | 6.59512 | + | 6.86625i | 0.799776 | + | 0.832655i | ||||
\(69\) | −2.32198 | − | 4.89346i | −0.279533 | − | 0.589103i | ||||
\(70\) | 1.34755i | 0.161063i | ||||||||
\(71\) | −9.23869 | + | 4.38381i | −1.09643 | + | 0.520263i | −0.888963 | − | 0.457979i | \(-0.848574\pi\) |
−0.207468 | + | 0.978242i | \(0.566522\pi\) | |||||||
\(72\) | −2.36591 | + | 3.14845i | −0.278825 | + | 0.371049i | ||||
\(73\) | 7.33364 | + | 2.78128i | 0.858337 | + | 0.325524i | 0.744213 | − | 0.667942i | \(-0.232825\pi\) |
0.114124 | + | 0.993467i | \(0.463594\pi\) | |||||||
\(74\) | −4.58508 | − | 1.95352i | −0.533004 | − | 0.227092i | ||||
\(75\) | 0.892011 | − | 0.144966i | 0.103001 | − | 0.0167392i | ||||
\(76\) | −0.525989 | + | 1.57553i | −0.0603351 | + | 0.180726i | ||||
\(77\) | −0.344793 | + | 0.305460i | −0.0392928 | + | 0.0348104i | ||||
\(78\) | 0.499983 | + | 1.47616i | 0.0566120 | + | 0.167143i | ||||
\(79\) | 6.82714 | + | 6.04832i | 0.768114 | + | 0.680489i | 0.953236 | − | 0.302226i | \(-0.0977298\pi\) |
−0.185123 | + | 0.982715i | \(0.559268\pi\) | |||||||
\(80\) | 2.32062 | − | 1.33981i | 0.259454 | − | 0.149796i | ||||
\(81\) | 2.19748 | + | 0.733627i | 0.244165 | + | 0.0815142i | ||||
\(82\) | 0.456397 | − | 0.475159i | 0.0504006 | − | 0.0524726i | ||||
\(83\) | −11.6953 | + | 8.07270i | −1.28373 | + | 0.886094i | −0.997402 | − | 0.0720381i | \(-0.977050\pi\) |
−0.286327 | + | 0.958132i | \(0.592434\pi\) | |||||||
\(84\) | −3.49310 | + | 2.85203i | −0.381129 | + | 0.311182i | ||||
\(85\) | 4.16363 | − | 3.39949i | 0.451609 | − | 0.368727i | ||||
\(86\) | 4.70824 | − | 3.24986i | 0.507703 | − | 0.350442i | ||||
\(87\) | −1.76409 | + | 1.83661i | −0.189130 | + | 0.196906i | ||||
\(88\) | −0.279757 | − | 0.0933967i | −0.0298222 | − | 0.00995612i | ||||
\(89\) | 10.3938 | − | 6.00085i | 1.10174 | − | 0.636089i | 0.165061 | − | 0.986283i | \(-0.447218\pi\) |
0.936677 | + | 0.350194i | \(0.113884\pi\) | |||||||
\(90\) | 0.781676 | + | 0.692505i | 0.0823959 | + | 0.0729964i | ||||
\(91\) | −0.861524 | − | 10.1212i | −0.0903122 | − | 1.06099i | ||||
\(92\) | −7.94602 | + | 7.03956i | −0.828430 | + | 0.733925i | ||||
\(93\) | 1.32834 | − | 3.97886i | 0.137742 | − | 0.412589i | ||||
\(94\) | 0.837705 | − | 0.136140i | 0.0864026 | − | 0.0140418i | ||||
\(95\) | 0.862740 | + | 0.367579i | 0.0885153 | + | 0.0377128i | ||||
\(96\) | −4.13146 | − | 1.56686i | −0.421665 | − | 0.159916i | ||||
\(97\) | −4.49160 | + | 5.97723i | −0.456053 | + | 0.606896i | −0.967640 | − | 0.252335i | \(-0.918801\pi\) |
0.511587 | + | 0.859231i | \(0.329058\pi\) | |||||||
\(98\) | −0.404929 | + | 0.192141i | −0.0409040 | + | 0.0194092i | ||||
\(99\) | 0.356981i | 0.0358779i | ||||||||
\(100\) | −0.759306 | − | 1.60020i | −0.0759306 | − | 0.160020i | ||||
\(101\) | −8.43039 | − | 8.77696i | −0.838855 | − | 0.873340i | 0.154552 | − | 0.987985i | \(-0.450607\pi\) |
−0.993407 | + | 0.114644i | \(0.963427\pi\) | |||||||
\(102\) | −2.27652 | − | 0.464754i | −0.225409 | − | 0.0460175i | ||||
\(103\) | 10.2669 | − | 14.8742i | 1.01163 | − | 1.46560i | 0.131242 | − | 0.991350i | \(-0.458104\pi\) |
0.880390 | − | 0.474251i | \(-0.157281\pi\) | |||||||
\(104\) | 5.33636 | − | 3.71790i | 0.523274 | − | 0.364570i | ||||
\(105\) | 1.44630 | + | 2.09533i | 0.141144 | + | 0.204483i | ||||
\(106\) | 1.93211 | + | 4.53483i | 0.187663 | + | 0.440462i | ||||
\(107\) | 9.42087 | − | 7.07932i | 0.910750 | − | 0.684384i | −0.0383819 | − | 0.999263i | \(-0.512220\pi\) |
0.949132 | + | 0.314879i | \(0.101964\pi\) | |||||||
\(108\) | −0.334077 | + | 8.29003i | −0.0321465 | + | 0.797708i | ||||
\(109\) | −0.622366 | − | 2.52504i | −0.0596119 | − | 0.241855i | 0.933576 | − | 0.358380i | \(-0.116671\pi\) |
−0.993188 | + | 0.116525i | \(0.962825\pi\) | |||||||
\(110\) | −0.0306546 | + | 0.0719489i | −0.00292280 | + | 0.00686006i | ||||
\(111\) | −9.22609 | + | 1.88352i | −0.875701 | + | 0.178776i | ||||
\(112\) | 6.21290 | + | 4.28846i | 0.587064 | + | 0.405221i | ||||
\(113\) | −19.9383 | + | 1.60959i | −1.87564 | + | 0.151417i | −0.965079 | − | 0.261959i | \(-0.915631\pi\) |
−0.910560 | + | 0.413377i | \(0.864349\pi\) | |||||||
\(114\) | −0.112780 | − | 0.389362i | −0.0105628 | − | 0.0364671i | ||||
\(115\) | 3.60055 | + | 4.79146i | 0.335753 | + | 0.446806i | ||||
\(116\) | 4.41944 | + | 2.31950i | 0.410335 | + | 0.215360i | ||||
\(117\) | −6.31379 | − | 4.70155i | −0.583710 | − | 0.434658i | ||||
\(118\) | 3.20926 | − | 1.68435i | 0.295436 | − | 0.155057i | ||||
\(119\) | 13.6812 | + | 6.49182i | 1.25416 | + | 0.595104i | ||||
\(120\) | −0.698833 | + | 1.47276i | −0.0637944 | + | 0.134444i | ||||
\(121\) | 10.4085 | − | 3.47488i | 0.946231 | − | 0.315898i | ||||
\(122\) | 2.29807 | − | 2.59399i | 0.208058 | − | 0.234849i | ||||
\(123\) | 0.199679 | − | 1.22867i | 0.0180045 | − | 0.110786i | ||||
\(124\) | −8.21472 | − | 0.331042i | −0.737703 | − | 0.0297284i | ||||
\(125\) | −0.935016 | + | 0.354605i | −0.0836304 | + | 0.0317168i | ||||
\(126\) | −0.818545 | + | 2.82595i | −0.0729218 | + | 0.251755i | ||||
\(127\) | 0.186210 | − | 0.912116i | 0.0165235 | − | 0.0809372i | −0.970693 | − | 0.240324i | \(-0.922746\pi\) |
0.987216 | + | 0.159386i | \(0.0509516\pi\) | |||||||
\(128\) | −0.903120 | + | 11.1871i | −0.0798253 | + | 0.988813i | ||||
\(129\) | 3.83290 | − | 10.1065i | 0.337468 | − | 0.889831i | ||||
\(130\) | −0.868804 | − | 1.48977i | −0.0761991 | − | 0.130661i | ||||
\(131\) | 1.11614 | + | 2.94301i | 0.0975173 | + | 0.257132i | 0.974894 | − | 0.222671i | \(-0.0714775\pi\) |
−0.877376 | + | 0.479803i | \(0.840708\pi\) | |||||||
\(132\) | −0.251384 | + | 0.0728144i | −0.0218802 | + | 0.00633768i | ||||
\(133\) | 0.106382 | + | 2.63985i | 0.00922451 | + | 0.228904i | ||||
\(134\) | 3.36347 | + | 4.11951i | 0.290560 | + | 0.355871i | ||||
\(135\) | 4.65007 | + | 0.564620i | 0.400214 | + | 0.0485948i | ||||
\(136\) | 0.780195 | + | 9.66445i | 0.0669012 | + | 0.828720i | ||||
\(137\) | 15.0951 | + | 4.37235i | 1.28966 | + | 0.373555i | 0.851033 | − | 0.525113i | \(-0.175977\pi\) |
0.438630 | + | 0.898668i | \(0.355464\pi\) | |||||||
\(138\) | 0.620009 | − | 2.51548i | 0.0527787 | − | 0.214132i | ||||
\(139\) | −15.9242 | − | 11.9663i | −1.35068 | − | 1.01497i | −0.996822 | − | 0.0796668i | \(-0.974614\pi\) |
−0.353855 | − | 0.935300i | \(-0.615129\pi\) | |||||||
\(140\) | 3.15590 | − | 3.86528i | 0.266722 | − | 0.326675i | ||||
\(141\) | 1.15644 | − | 1.11078i | 0.0973901 | − | 0.0935445i | ||||
\(142\) | −4.74913 | − | 1.17056i | −0.398538 | − | 0.0982309i | ||||
\(143\) | 0.184243 | − | 0.559995i | 0.0154072 | − | 0.0468292i | ||||
\(144\) | 5.68043 | − | 1.40010i | 0.473369 | − | 0.116675i | ||||
\(145\) | 1.50609 | − | 2.38168i | 0.125074 | − | 0.197788i | ||||
\(146\) | 1.87580 | + | 3.24897i | 0.155242 | + | 0.268887i | ||||
\(147\) | −0.423409 | + | 0.733366i | −0.0349222 | + | 0.0604870i | ||||
\(148\) | 8.57667 | + | 16.3415i | 0.704998 | + | 1.34326i | ||||
\(149\) | 1.24266 | + | 3.72222i | 0.101803 | + | 0.304936i | 0.987104 | − | 0.160082i | \(-0.0511759\pi\) |
−0.885301 | + | 0.465018i | \(0.846048\pi\) | |||||||
\(150\) | 0.374349 | + | 0.216131i | 0.0305655 | + | 0.0176470i | ||||
\(151\) | −5.76680 | − | 6.50937i | −0.469295 | − | 0.529725i | 0.465435 | − | 0.885082i | \(-0.345898\pi\) |
−0.934731 | + | 0.355357i | \(0.884359\pi\) | |||||||
\(152\) | −1.42973 | + | 0.904103i | −0.115966 | + | 0.0733325i | ||||
\(153\) | 10.7965 | − | 4.59996i | 0.872846 | − | 0.371885i | ||||
\(154\) | −0.220152 | + | 0.00887183i | −0.0177404 | + | 0.000714912i | ||||
\(155\) | −0.559491 | + | 4.60783i | −0.0449394 | + | 0.370109i | ||||
\(156\) | 2.02297 | − | 5.40513i | 0.161967 | − | 0.432757i | ||||
\(157\) | −0.293497 | − | 2.41717i | −0.0234236 | − | 0.192911i | 0.976300 | − | 0.216422i | \(-0.0694386\pi\) |
−0.999724 | + | 0.0235109i | \(0.992516\pi\) | |||||||
\(158\) | 0.699828 | + | 4.30621i | 0.0556753 | + | 0.342584i | ||||
\(159\) | 7.87142 | + | 4.97758i | 0.624244 | + | 0.394748i | ||||
\(160\) | 4.82606 | + | 0.784311i | 0.381533 | + | 0.0620052i | ||||
\(161\) | −7.84702 | + | 14.9512i | −0.618431 | + | 1.17832i | ||||
\(162\) | 0.592252 | + | 0.936571i | 0.0465317 | + | 0.0735840i | ||||
\(163\) | 4.18352 | + | 4.01833i | 0.327679 | + | 0.314740i | 0.838452 | − | 0.544976i | \(-0.183461\pi\) |
−0.510773 | + | 0.859716i | \(0.670641\pi\) | |||||||
\(164\) | −2.42192 | + | 0.294074i | −0.189120 | + | 0.0229633i | ||||
\(165\) | 0.0295561 | + | 0.144776i | 0.00230094 | + | 0.0112708i | ||||
\(166\) | −6.77525 | − | 0.546955i | −0.525862 | − | 0.0424519i | ||||
\(167\) | −2.05507 | − | 1.67792i | −0.159026 | − | 0.129841i | 0.549591 | − | 0.835434i | \(-0.314783\pi\) |
−0.708618 | + | 0.705593i | \(0.750681\pi\) | |||||||
\(168\) | −4.59258 | −0.354325 | ||||||||
\(169\) | 7.47790 | + | 10.6340i | 0.575223 | + | 0.817997i | ||||
\(170\) | 2.57103 | 0.197189 | ||||||||
\(171\) | 1.58597 | + | 1.29491i | 0.121282 | + | 0.0990240i | ||||
\(172\) | −21.1160 | − | 1.70466i | −1.61008 | − | 0.129979i | ||||
\(173\) | 2.47623 | + | 12.1294i | 0.188264 | + | 0.922180i | 0.958647 | + | 0.284598i | \(0.0918601\pi\) |
−0.770383 | + | 0.637582i | \(0.779935\pi\) | |||||||
\(174\) | −1.20920 | + | 0.146823i | −0.0916691 | + | 0.0111306i | ||||
\(175\) | −2.03183 | − | 1.95160i | −0.153592 | − | 0.147527i | ||||
\(176\) | 0.234167 | + | 0.370305i | 0.0176510 | + | 0.0279128i | ||||
\(177\) | 3.18235 | − | 6.06346i | 0.239200 | − | 0.455757i | ||||
\(178\) | 5.66627 | + | 0.920858i | 0.424705 | + | 0.0690213i | ||||
\(179\) | −8.70938 | − | 5.50748i | −0.650970 | − | 0.411648i | 0.167760 | − | 0.985828i | \(-0.446347\pi\) |
−0.818729 | + | 0.574180i | \(0.805321\pi\) | |||||||
\(180\) | −0.620325 | − | 3.81702i | −0.0462363 | − | 0.284504i | ||||
\(181\) | −2.02013 | − | 16.6373i | −0.150155 | − | 1.23664i | −0.851707 | − | 0.524019i | \(-0.824432\pi\) |
0.701552 | − | 0.712618i | \(-0.252491\pi\) | |||||||
\(182\) | 2.74256 | − | 4.01060i | 0.203292 | − | 0.297285i | ||||
\(183\) | 0.789233 | − | 6.49992i | 0.0583418 | − | 0.480488i | ||||
\(184\) | −10.8025 | + | 0.435326i | −0.796372 | + | 0.0320927i | ||||
\(185\) | 9.58587 | − | 4.08416i | 0.704767 | − | 0.300273i | ||||
\(186\) | 1.69580 | − | 1.07236i | 0.124342 | − | 0.0786292i | ||||
\(187\) | 0.582795 | + | 0.657840i | 0.0426182 | + | 0.0481060i | ||||
\(188\) | −2.72169 | − | 1.57137i | −0.198499 | − | 0.114604i | ||||
\(189\) | 4.17899 | + | 12.5176i | 0.303976 | + | 0.910521i | ||||
\(190\) | 0.208455 | + | 0.397177i | 0.0151229 | + | 0.0288142i | ||||
\(191\) | 5.43317 | − | 9.41053i | 0.393131 | − | 0.680922i | −0.599730 | − | 0.800202i | \(-0.704725\pi\) |
0.992861 | + | 0.119280i | \(0.0380587\pi\) | |||||||
\(192\) | 1.36487 | + | 2.36403i | 0.0985011 | + | 0.170609i | ||||
\(193\) | 4.48520 | − | 7.09277i | 0.322852 | − | 0.510549i | −0.644292 | − | 0.764780i | \(-0.722848\pi\) |
0.967144 | + | 0.254231i | \(0.0818222\pi\) | |||||||
\(194\) | −3.47233 | + | 0.855853i | −0.249299 | + | 0.0614467i | ||||
\(195\) | −2.94986 | − | 1.38399i | −0.211244 | − | 0.0991097i | ||||
\(196\) | 1.61147 | + | 0.397193i | 0.115105 | + | 0.0283709i | ||||
\(197\) | −4.42351 | + | 4.24884i | −0.315162 | + | 0.302717i | −0.833567 | − | 0.552418i | \(-0.813705\pi\) |
0.518405 | + | 0.855135i | \(0.326526\pi\) | |||||||
\(198\) | −0.107990 | + | 0.132263i | −0.00767450 | + | 0.00939956i | ||||
\(199\) | −18.0120 | − | 13.5351i | −1.27684 | − | 0.959481i | −0.276839 | − | 0.960916i | \(-0.589287\pi\) |
−0.999999 | + | 0.00143533i | \(0.999543\pi\) | |||||||
\(200\) | 0.431685 | − | 1.75142i | 0.0305248 | − | 0.123844i | ||||
\(201\) | 9.65131 | + | 2.79554i | 0.680751 | + | 0.197182i | ||||
\(202\) | −0.468401 | − | 5.80219i | −0.0329566 | − | 0.408240i | ||||
\(203\) | 7.88099 | + | 0.956926i | 0.553137 | + | 0.0671630i | ||||
\(204\) | 5.44147 | + | 6.66459i | 0.380979 | + | 0.466615i | ||||
\(205\) | 0.0554632 | + | 1.37630i | 0.00387372 | + | 0.0961253i | ||||
\(206\) | 8.30355 | − | 2.40515i | 0.578536 | − | 0.167575i | ||||
\(207\) | 4.64023 | + | 12.2353i | 0.322518 | + | 0.850410i | ||||
\(208\) | −9.63349 | − | 0.735415i | −0.667963 | − | 0.0509918i | ||||
\(209\) | −0.0543723 | + | 0.143368i | −0.00376101 | + | 0.00991696i | ||||
\(210\) | −0.0979921 | + | 1.21385i | −0.00676209 | + | 0.0837636i | ||||
\(211\) | 1.08836 | − | 5.33114i | 0.0749257 | − | 0.367010i | −0.924990 | − | 0.379991i | \(-0.875927\pi\) |
0.999916 | + | 0.0129809i | \(0.00413207\pi\) | |||||||
\(212\) | 5.07835 | − | 17.5325i | 0.348783 | − | 1.20414i | ||||
\(213\) | −8.64084 | + | 3.27704i | −0.592061 | + | 0.224539i | ||||
\(214\) | 5.63205 | + | 0.226964i | 0.384999 | + | 0.0155149i | ||||
\(215\) | −1.91861 | + | 11.8057i | −0.130848 | + | 0.805142i | ||||
\(216\) | −5.60309 | + | 6.32458i | −0.381242 | + | 0.430333i | ||||
\(217\) | −12.4039 | + | 4.14102i | −0.842030 | + | 0.281111i | ||||
\(218\) | 0.533257 | − | 1.12381i | 0.0361167 | − | 0.0761143i | ||||
\(219\) | 6.40377 | + | 3.03863i | 0.432726 | + | 0.205331i | ||||
\(220\) | 0.256430 | − | 0.134585i | 0.0172885 | − | 0.00907371i | ||||
\(221\) | −19.3106 | + | 1.64373i | −1.29897 | + | 0.110569i | ||||
\(222\) | −3.98810 | − | 2.09312i | −0.267664 | − | 0.140481i | ||||
\(223\) | 12.4565 | + | 16.5766i | 0.834149 | + | 1.11005i | 0.992449 | + | 0.122660i | \(0.0391423\pi\) |
−0.158300 | + | 0.987391i | \(0.550601\pi\) | |||||||
\(224\) | 3.83237 | + | 13.2309i | 0.256061 | + | 0.884024i | ||||
\(225\) | −2.17622 | + | 0.175683i | −0.145081 | + | 0.0117122i | ||||
\(226\) | −7.87418 | − | 5.43516i | −0.523783 | − | 0.361541i | ||||
\(227\) | −9.98051 | + | 2.03754i | −0.662430 | + | 0.135236i | −0.519465 | − | 0.854492i | \(-0.673869\pi\) |
−0.142965 | + | 0.989728i | \(0.545664\pi\) | |||||||
\(228\) | −0.588373 | + | 1.38096i | −0.0389660 | + | 0.0914565i | ||||
\(229\) | 1.85181 | + | 7.51308i | 0.122371 | + | 0.496478i | 0.999858 | + | 0.0168771i | \(0.00537241\pi\) |
−0.877487 | + | 0.479601i | \(0.840781\pi\) | |||||||
\(230\) | −0.115434 | + | 2.86447i | −0.00761149 | + | 0.188877i | ||||
\(231\) | −0.332796 | + | 0.250080i | −0.0218964 | + | 0.0164541i | ||||
\(232\) | 1.99239 | + | 4.67632i | 0.130807 | + | 0.307015i | ||||
\(233\) | 15.9882 | + | 23.1629i | 1.04742 | + | 1.51745i | 0.842515 | + | 0.538672i | \(0.181074\pi\) |
0.204907 | + | 0.978781i | \(0.434311\pi\) | |||||||
\(234\) | −0.917036 | − | 3.65193i | −0.0599485 | − | 0.238734i | ||||
\(235\) | −1.00794 | + | 1.46025i | −0.0657507 | + | 0.0952563i | ||||
\(236\) | −13.1500 | − | 2.68460i | −0.855994 | − | 0.174752i | ||||
\(237\) | 5.70995 | + | 5.94469i | 0.370901 | + | 0.386149i | ||||
\(238\) | 3.10514 | + | 6.54395i | 0.201277 | + | 0.424181i | ||||
\(239\) | 28.4820i | 1.84235i | 0.389148 | + | 0.921175i | \(0.372770\pi\) | ||||
−0.389148 | + | 0.921175i | \(0.627230\pi\) | |||||||
\(240\) | 2.18781 | − | 1.03813i | 0.141222 | − | 0.0670109i | ||||
\(241\) | −0.933102 | + | 1.24173i | −0.0601064 | + | 0.0799870i | −0.828495 | − | 0.559997i | \(-0.810802\pi\) |
0.768389 | + | 0.639984i | \(0.221059\pi\) | |||||||
\(242\) | 4.90761 | + | 1.86121i | 0.315473 | + | 0.119643i | ||||
\(243\) | 14.8543 | + | 6.32881i | 0.952902 | + | 0.405994i | ||||
\(244\) | −12.6668 | + | 2.05855i | −0.810906 | + | 0.131785i | ||||
\(245\) | 0.296731 | − | 0.888819i | 0.0189575 | − | 0.0567846i | ||||
\(246\) | 0.445667 | − | 0.394827i | 0.0284147 | − | 0.0251732i | ||||
\(247\) | −1.81960 | − | 2.84986i | −0.115778 | − | 0.181333i | ||||
\(248\) | −6.26713 | − | 5.55219i | −0.397963 | − | 0.352564i | ||||
\(249\) | −11.1220 | + | 6.42128i | −0.704828 | + | 0.406932i | ||||
\(250\) | −0.453700 | − | 0.151467i | −0.0286945 | − | 0.00957964i | ||||
\(251\) | −0.943341 | + | 0.982122i | −0.0595431 | + | 0.0619910i | −0.750308 | − | 0.661089i | \(-0.770095\pi\) |
0.690765 | + | 0.723080i | \(0.257274\pi\) | |||||||
\(252\) | 8.96613 | − | 6.18888i | 0.564813 | − | 0.389863i | ||||
\(253\) | −0.759088 | + | 0.619776i | −0.0477234 | + | 0.0389650i | ||||
\(254\) | 0.344915 | − | 0.281615i | 0.0216419 | − | 0.0176701i | ||||
\(255\) | 3.99773 | − | 2.75943i | 0.250348 | − | 0.172803i | ||||
\(256\) | 0.466039 | − | 0.485198i | 0.0291274 | − | 0.0303249i | ||||
\(257\) | 23.6570 | + | 7.89788i | 1.47569 | + | 0.492656i | 0.936843 | − | 0.349750i | \(-0.113734\pi\) |
0.538843 | + | 0.842406i | \(0.318862\pi\) | |||||||
\(258\) | 4.47743 | − | 2.58505i | 0.278753 | − | 0.160938i | ||||
\(259\) | 21.9726 | + | 19.4660i | 1.36531 | + | 1.20956i | ||||
\(260\) | −0.996913 | + | 6.30791i | −0.0618259 | + | 0.391200i | ||||
\(261\) | 4.60513 | − | 4.07978i | 0.285050 | − | 0.252532i | ||||
\(262\) | −0.476751 | + | 1.42804i | −0.0294538 | + | 0.0882249i | ||||
\(263\) | 12.6432 | − | 2.05471i | 0.779611 | − | 0.126699i | 0.242433 | − | 0.970168i | \(-0.422055\pi\) |
0.537178 | + | 0.843469i | \(0.319490\pi\) | |||||||
\(264\) | −0.245209 | − | 0.104474i | −0.0150916 | − | 0.00642991i | ||||
\(265\) | −9.63578 | − | 3.65437i | −0.591921 | − | 0.224486i | ||||
\(266\) | −0.759162 | + | 1.01026i | −0.0465472 | + | 0.0619431i | ||||
\(267\) | 9.79892 | − | 4.64964i | 0.599684 | − | 0.284554i | ||||
\(268\) | − | 19.6934i | − | 1.20297i | ||||||
\(269\) | −11.3194 | − | 23.8551i | −0.690155 | − | 1.45447i | −0.881129 | − | 0.472876i | \(-0.843216\pi\) |
0.190973 | − | 0.981595i | \(-0.438836\pi\) | |||||||
\(270\) | 1.55208 | + | 1.61588i | 0.0944563 | + | 0.0983395i | ||||
\(271\) | −5.10037 | − | 1.04125i | −0.309825 | − | 0.0632513i | 0.0425971 | − | 0.999092i | \(-0.486437\pi\) |
−0.352422 | + | 0.935841i | \(0.614642\pi\) | |||||||
\(272\) | 8.18207 | − | 11.8538i | 0.496111 | − | 0.718741i | ||||
\(273\) | −0.0400428 | − | 9.17969i | −0.00242350 | − | 0.555580i | ||||
\(274\) | 4.27016 | + | 6.18639i | 0.257970 | + | 0.373733i | ||||
\(275\) | −0.0640885 | − | 0.150421i | −0.00386468 | − | 0.00907074i | ||||
\(276\) | −7.66955 | + | 5.76330i | −0.461653 | + | 0.346910i | ||||
\(277\) | 0.611439 | − | 15.1727i | 0.0367378 | − | 0.911639i | −0.870792 | − | 0.491652i | \(-0.836393\pi\) |
0.907530 | − | 0.419988i | \(-0.137966\pi\) | |||||||
\(278\) | −2.28012 | − | 9.25081i | −0.136752 | − | 0.554827i | ||||
\(279\) | −3.97225 | + | 9.32322i | −0.237813 | + | 0.558167i | ||||
\(280\) | 4.97919 | − | 1.01651i | 0.297564 | − | 0.0607481i | ||||
\(281\) | −12.7807 | − | 8.82187i | −0.762432 | − | 0.526269i | 0.122230 | − | 0.992502i | \(-0.460995\pi\) |
−0.884662 | + | 0.466233i | \(0.845611\pi\) | |||||||
\(282\) | 0.764490 | − | 0.0617160i | 0.0455247 | − | 0.00367514i | ||||
\(283\) | 3.19979 | + | 11.0469i | 0.190208 | + | 0.656673i | 0.997761 | + | 0.0668785i | \(0.0213040\pi\) |
−0.807554 | + | 0.589794i | \(0.799209\pi\) | |||||||
\(284\) | 10.8809 | + | 14.4799i | 0.645663 | + | 0.859222i | ||||
\(285\) | 0.750412 | + | 0.393847i | 0.0444506 | + | 0.0233295i | ||||
\(286\) | 0.237667 | − | 0.151747i | 0.0140535 | − | 0.00897297i | ||||
\(287\) | −3.43608 | + | 1.80339i | −0.202825 | + | 0.106451i | ||||
\(288\) | 9.64431 | + | 4.57628i | 0.568296 | + | 0.269660i | ||||
\(289\) | 5.09816 | − | 10.7441i | 0.299892 | − | 0.632008i | ||||
\(290\) | 1.27849 | − | 0.426824i | 0.0750758 | − | 0.0250640i | ||||
\(291\) | −4.48062 | + | 5.05757i | −0.262658 | + | 0.296480i | ||||
\(292\) | 2.22847 | − | 13.7123i | 0.130411 | − | 0.802452i | ||||
\(293\) | 12.6152 | + | 0.508374i | 0.736986 | + | 0.0296995i | 0.405921 | − | 0.913908i | \(-0.366951\pi\) |
0.331065 | + | 0.943608i | \(0.392592\pi\) | |||||||
\(294\) | −0.378725 | + | 0.143632i | −0.0220877 | + | 0.00837677i | ||||
\(295\) | −2.10818 | + | 7.27827i | −0.122743 | + | 0.423757i | ||||
\(296\) | −3.75955 | + | 18.4155i | −0.218519 | + | 1.07038i | ||||
\(297\) | −0.0616288 | + | 0.763410i | −0.00357607 | + | 0.0442975i | ||||
\(298\) | −0.665592 | + | 1.75502i | −0.0385567 | + | 0.101666i | ||||
\(299\) | −0.964322 | − | 21.5884i | −0.0557682 | − | 1.24849i | ||||
\(300\) | −0.567605 | − | 1.49665i | −0.0327707 | − | 0.0864093i | ||||
\(301\) | −32.3659 | + | 9.37488i | −1.86554 | + | 0.540359i | ||||
\(302\) | −0.167492 | − | 4.15627i | −0.00963808 | − | 0.239166i | ||||
\(303\) | −6.95570 | − | 8.51919i | −0.399595 | − | 0.489415i | ||||
\(304\) | 2.49458 | + | 0.302897i | 0.143074 | + | 0.0173723i | ||||
\(305\) | 0.583003 | + | 7.22178i | 0.0333826 | + | 0.413518i | ||||
\(306\) | 5.39170 | + | 1.56172i | 0.308223 | + | 0.0892779i | ||||
\(307\) | 2.30411 | − | 9.34814i | 0.131503 | − | 0.533527i | −0.867825 | − | 0.496869i | \(-0.834483\pi\) |
0.999328 | − | 0.0366574i | \(-0.0116710\pi\) | |||||||
\(308\) | 0.652257 | + | 0.490139i | 0.0371658 | + | 0.0279283i | ||||
\(309\) | 10.3299 | − | 12.6519i | 0.587649 | − | 0.719739i | ||||
\(310\) | −1.60120 | + | 1.53798i | −0.0909422 | + | 0.0873512i | ||||
\(311\) | 12.8202 | + | 3.15990i | 0.726969 | + | 0.179182i | 0.585398 | − | 0.810746i | \(-0.300938\pi\) |
0.141571 | + | 0.989928i | \(0.454785\pi\) | |||||||
\(312\) | 5.07727 | − | 2.96097i | 0.287444 | − | 0.167632i | ||||
\(313\) | −24.7010 | + | 6.08825i | −1.39618 | + | 0.344128i | −0.864423 | − | 0.502766i | \(-0.832316\pi\) |
−0.531761 | + | 0.846894i | \(0.678470\pi\) | |||||||
\(314\) | 0.622472 | − | 0.984361i | 0.0351281 | − | 0.0555507i | ||||
\(315\) | −3.07548 | − | 5.32689i | −0.173284 | − | 0.300136i | ||||
\(316\) | 8.07759 | − | 13.9908i | 0.454400 | − | 0.787044i | ||||
\(317\) | −7.40872 | − | 14.1161i | −0.416115 | − | 0.792842i | 0.583702 | − | 0.811968i | \(-0.301604\pi\) |
−0.999817 | + | 0.0191265i | \(0.993911\pi\) | |||||||
\(318\) | 1.41065 | + | 4.22540i | 0.0791051 | + | 0.236949i | ||||
\(319\) | 0.399017 | + | 0.230372i | 0.0223407 | + | 0.0128984i | ||||
\(320\) | −2.00302 | − | 2.26094i | −0.111972 | − | 0.126390i | ||||
\(321\) | 9.00096 | − | 5.69186i | 0.502385 | − | 0.317689i | ||||
\(322\) | −7.43025 | + | 3.16573i | −0.414072 | + | 0.176419i | ||||
\(323\) | 5.03664 | − | 0.202970i | 0.280246 | − | 0.0112935i | ||||
\(324\) | 0.494608 | − | 4.07347i | 0.0274782 | − | 0.226304i | ||||
\(325\) | 3.50451 | + | 0.847586i | 0.194395 | + | 0.0470156i | ||||
\(326\) | 0.334441 | + | 2.75437i | 0.0185230 | + | 0.152550i | ||||
\(327\) | −0.377000 | − | 2.31977i | −0.0208481 | − | 0.128284i | ||||
\(328\) | −2.09999 | − | 1.32795i | −0.115953 | − | 0.0733240i | ||||
\(329\) | −4.93407 | − | 0.801864i | −0.272024 | − | 0.0442082i | ||||
\(330\) | −0.0328452 | + | 0.0625812i | −0.00180807 | + | 0.00344498i | ||||
\(331\) | 3.16502 | + | 5.00508i | 0.173965 | + | 0.275104i | 0.920905 | − | 0.389788i | \(-0.127452\pi\) |
−0.746939 | + | 0.664892i | \(0.768477\pi\) | |||||||
\(332\) | 18.1530 | + | 17.4362i | 0.996277 | + | 0.956937i | ||||
\(333\) | 22.5834 | − | 2.74212i | 1.23756 | − | 0.150267i | ||||
\(334\) | −0.253833 | − | 1.24336i | −0.0138891 | − | 0.0680334i | ||||
\(335\) | −11.0825 | − | 0.894675i | −0.605504 | − | 0.0488813i | ||||
\(336\) | 5.28463 | + | 4.31477i | 0.288300 | + | 0.235390i | ||||
\(337\) | −27.8831 | −1.51889 | −0.759444 | − | 0.650572i | \(-0.774529\pi\) | ||||
−0.759444 | + | 0.650572i | \(0.774529\pi\) | |||||||
\(338\) | −0.446260 | + | 6.20208i | −0.0242733 | + | 0.337349i | ||||
\(339\) | −18.0772 | −0.981816 | ||||||||
\(340\) | −7.37467 | − | 6.02123i | −0.399948 | − | 0.326547i | ||||
\(341\) | −0.756475 | − | 0.0610690i | −0.0409654 | − | 0.00330707i | ||||
\(342\) | 0.195892 | + | 0.959542i | 0.0105926 | + | 0.0518861i | ||||
\(343\) | −16.9565 | + | 2.05889i | −0.915564 | + | 0.111170i | ||||
\(344\) | −15.5599 | − | 14.9454i | −0.838931 | − | 0.805804i | ||||
\(345\) | 2.89489 | + | 4.57790i | 0.155856 | + | 0.246466i | ||||
\(346\) | −2.75179 | + | 5.24309i | −0.147937 | + | 0.281870i | ||||
\(347\) | 21.0592 | + | 3.42245i | 1.13051 | + | 0.183726i | 0.696760 | − | 0.717305i | \(-0.254624\pi\) |
0.433755 | + | 0.901031i | \(0.357188\pi\) | |||||||
\(348\) | 3.81229 | + | 2.41075i | 0.204360 | + | 0.129230i | ||||
\(349\) | −4.98647 | − | 30.6830i | −0.266919 | − | 1.64242i | −0.681074 | − | 0.732214i | \(-0.738487\pi\) |
0.414155 | − | 0.910206i | \(-0.364077\pi\) | |||||||
\(350\) | −0.162429 | − | 1.33772i | −0.00868220 | − | 0.0715043i | ||||
\(351\) | −12.6905 | − | 11.1444i | −0.677368 | − | 0.594842i | ||||
\(352\) | −0.0963614 | + | 0.793608i | −0.00513608 | + | 0.0422994i | ||||
\(353\) | 26.9670 | − | 1.08673i | 1.43531 | − | 0.0578409i | 0.689636 | − | 0.724156i | \(-0.257770\pi\) |
0.745670 | + | 0.666315i | \(0.232129\pi\) | |||||||
\(354\) | 3.01333 | − | 1.28386i | 0.160157 | − | 0.0682364i | ||||
\(355\) | 8.64292 | − | 5.46545i | 0.458719 | − | 0.290076i | ||||
\(356\) | −14.0964 | − | 15.9115i | −0.747107 | − | 0.843309i | ||||
\(357\) | 11.8517 | + | 6.84261i | 0.627261 | + | 0.362149i | ||||
\(358\) | −1.56082 | − | 4.67522i | −0.0824918 | − | 0.247093i | ||||
\(359\) | −9.88539 | − | 18.8350i | −0.521731 | − | 0.994075i | −0.993659 | − | 0.112438i | \(-0.964134\pi\) |
0.471928 | − | 0.881637i | \(-0.343558\pi\) | |||||||
\(360\) | 1.96916 | − | 3.41068i | 0.103784 | − | 0.179758i | ||||
\(361\) | −9.06028 | − | 15.6929i | −0.476857 | − | 0.825941i | ||||
\(362\) | 4.28445 | − | 6.77531i | 0.225186 | − | 0.356102i | ||||
\(363\) | 9.62853 | − | 2.37322i | 0.505367 | − | 0.124562i | ||||
\(364\) | −17.2593 | + | 5.08094i | −0.904635 | + | 0.266313i | ||||
\(365\) | −7.61541 | − | 1.87703i | −0.398609 | − | 0.0982483i | ||||
\(366\) | 2.25870 | − | 2.16951i | 0.118064 | − | 0.113402i | ||||
\(367\) | 15.4871 | − | 18.9683i | 0.808421 | − | 0.990136i | −0.191541 | − | 0.981485i | \(-0.561349\pi\) |
0.999963 | − | 0.00865182i | \(-0.00275399\pi\) | |||||||
\(368\) | 12.8393 | + | 9.64813i | 0.669296 | + | 0.502943i | ||||
\(369\) | −0.719700 | + | 2.91994i | −0.0374661 | + | 0.152006i | ||||
\(370\) | 4.78712 | + | 1.38661i | 0.248870 | + | 0.0720862i | ||||
\(371\) | −2.33621 | − | 28.9392i | −0.121290 | − | 1.50245i | ||||
\(372\) | −7.37561 | − | 0.895561i | −0.382407 | − | 0.0464327i | ||||
\(373\) | −13.7993 | − | 16.9011i | −0.714501 | − | 0.875105i | 0.281937 | − | 0.959433i | \(-0.409023\pi\) |
−0.996438 | + | 0.0843283i | \(0.973126\pi\) | |||||||
\(374\) | 0.0169268 | + | 0.420035i | 0.000875265 | + | 0.0217195i | ||||
\(375\) | −0.868034 | + | 0.251429i | −0.0448251 | + | 0.0129837i | ||||
\(376\) | −1.13495 | − | 2.99262i | −0.0585307 | − | 0.154333i | ||||
\(377\) | −9.32970 | + | 4.02319i | −0.480504 | + | 0.207205i | ||||
\(378\) | −2.23834 | + | 5.90202i | −0.115128 | + | 0.303567i | ||||
\(379\) | −2.26042 | + | 28.0003i | −0.116110 | + | 1.43828i | 0.632136 | + | 0.774857i | \(0.282178\pi\) |
−0.748246 | + | 0.663421i | \(0.769104\pi\) | |||||||
\(380\) | 0.332245 | − | 1.62744i | 0.0170438 | − | 0.0834861i | ||||
\(381\) | 0.234063 | − | 0.808078i | 0.0119914 | − | 0.0413991i | ||||
\(382\) | 4.85979 | − | 1.84308i | 0.248649 | − | 0.0943000i | ||||
\(383\) | 0.0528512 | + | 0.00212983i | 0.00270057 | + | 0.000108829i | 0.0416162 | − | 0.999134i | \(-0.486749\pi\) |
−0.0389156 | + | 0.999243i | \(0.512390\pi\) | |||||||
\(384\) | −1.62703 | + | 10.0115i | −0.0830291 | + | 0.510898i | ||||
\(385\) | 0.305460 | − | 0.344793i | 0.0155677 | − | 0.0175723i | ||||
\(386\) | 3.80742 | − | 1.27110i | 0.193793 | − | 0.0646975i | ||||
\(387\) | −11.1947 | + | 23.5923i | −0.569058 | + | 1.19926i | ||||
\(388\) | 11.9643 | + | 5.67714i | 0.607396 | + | 0.288213i | ||||
\(389\) | 27.3653 | − | 14.3624i | 1.38748 | − | 0.728205i | 0.404953 | − | 0.914337i | \(-0.367288\pi\) |
0.982525 | + | 0.186133i | \(0.0595955\pi\) | |||||||
\(390\) | −0.674270 | − | 1.40514i | −0.0341430 | − | 0.0711518i | ||||
\(391\) | 28.5259 | + | 14.9715i | 1.44262 | + | 0.757143i | ||||
\(392\) | 1.01542 | + | 1.35127i | 0.0512862 | + | 0.0682496i | ||||
\(393\) | 0.791385 | + | 2.73218i | 0.0399201 | + | 0.137820i | ||||
\(394\) | −2.92425 | + | 0.236070i | −0.147322 | + | 0.0118930i | ||||
\(395\) | −7.50641 | − | 5.18130i | −0.377689 | − | 0.260700i | ||||
\(396\) | 0.619511 | − | 0.126474i | 0.0311316 | − | 0.00635556i | ||||
\(397\) | −12.1722 | + | 28.5693i | −0.610907 | + | 1.43385i | 0.271069 | + | 0.962560i | \(0.412623\pi\) |
−0.881977 | + | 0.471293i | \(0.843788\pi\) | |||||||
\(398\) | −2.57906 | − | 10.4636i | −0.129276 | − | 0.524495i | ||||
\(399\) | −0.0961391 | + | 2.38567i | −0.00481297 | + | 0.119433i | ||||
\(400\) | −2.14221 | + | 1.60976i | −0.107110 | + | 0.0804882i | ||||
\(401\) | 5.99857 | + | 14.0792i | 0.299554 | + | 0.703080i | 0.999943 | − | 0.0106817i | \(-0.00340017\pi\) |
−0.700389 | + | 0.713762i | \(0.746990\pi\) | |||||||
\(402\) | 2.73020 | + | 3.95537i | 0.136170 | + | 0.197276i | ||||
\(403\) | 11.0431 | − | 12.5752i | 0.550097 | − | 0.626415i | ||||
\(404\) | −12.2449 | + | 17.7398i | −0.609207 | + | 0.882589i | ||||
\(405\) | −2.26989 | − | 0.463401i | −0.112792 | − | 0.0230266i | ||||
\(406\) | 2.63048 | + | 2.73862i | 0.130548 | + | 0.135915i | ||||
\(407\) | 0.730348 | + | 1.53918i | 0.0362020 | + | 0.0762942i | ||||
\(408\) | 8.76231i | 0.433799i | ||||||||
\(409\) | −14.8713 | + | 7.05653i | −0.735339 | + | 0.348923i | −0.759257 | − | 0.650791i | \(-0.774437\pi\) |
0.0239175 | + | 0.999714i | \(0.492386\pi\) | |||||||
\(410\) | −0.395795 | + | 0.526707i | −0.0195469 | + | 0.0260122i | ||||
\(411\) | 13.2795 | + | 5.03624i | 0.655028 | + | 0.248419i | ||||
\(412\) | −29.4505 | − | 12.5477i | −1.45092 | − | 0.618179i | ||||
\(413\) | −21.0713 | + | 3.42442i | −1.03685 | + | 0.168505i | ||||
\(414\) | −1.98205 | + | 5.93695i | −0.0974123 | + | 0.291785i | ||||
\(415\) | 10.6370 | − | 9.42356i | 0.522150 | − | 0.462584i | ||||
\(416\) | −12.7671 | − | 12.1564i | −0.625961 | − | 0.596016i | ||||
\(417\) | −13.4741 | − | 11.9370i | −0.659830 | − | 0.584559i | ||||
\(418\) | −0.0635153 | + | 0.0366706i | −0.00310664 | + | 0.00179362i | ||||
\(419\) | −25.5959 | − | 8.54518i | −1.25044 | − | 0.417459i | −0.387082 | − | 0.922045i | \(-0.626517\pi\) |
−0.863362 | + | 0.504586i | \(0.831645\pi\) | |||||||
\(420\) | 3.12386 | − | 3.25228i | 0.152429 | − | 0.158695i | ||||
\(421\) | −7.03139 | + | 4.85342i | −0.342689 | + | 0.236541i | −0.726961 | − | 0.686679i | \(-0.759068\pi\) |
0.384272 | + | 0.923220i | \(0.374453\pi\) | |||||||
\(422\) | 2.01596 | − | 1.64598i | 0.0981354 | − | 0.0801251i | ||||
\(423\) | −3.00075 | + | 2.45004i | −0.145902 | + | 0.119125i | ||||
\(424\) | 15.2987 | − | 10.5599i | 0.742972 | − | 0.512836i | ||||
\(425\) | −3.72350 | + | 3.87658i | −0.180616 | + | 0.188042i | ||||
\(426\) | −4.19282 | − | 1.39977i | −0.203143 | − | 0.0678190i | ||||
\(427\) | −17.6773 | + | 10.2060i | −0.855463 | + | 0.493902i | ||||
\(428\) | −15.6233 | − | 13.8410i | −0.755180 | − | 0.669031i | ||||
\(429\) | 0.206685 | − | 0.491037i | 0.00997885 | − | 0.0237075i | ||||
\(430\) | −4.28218 | + | 3.79368i | −0.206505 | + | 0.182948i | ||||
\(431\) | 3.76680 | − | 11.2829i | 0.181440 | − | 0.543480i | −0.818058 | − | 0.575135i | \(-0.804949\pi\) |
0.999499 | + | 0.0316547i | \(0.0100777\pi\) | |||||||
\(432\) | 12.3894 | − | 2.01348i | 0.596086 | − | 0.0968734i | ||||
\(433\) | 0.591568 | + | 0.252043i | 0.0284289 | + | 0.0121124i | 0.406134 | − | 0.913813i | \(-0.366877\pi\) |
−0.377705 | + | 0.925926i | \(0.623287\pi\) | |||||||
\(434\) | −5.84841 | − | 2.21801i | −0.280733 | − | 0.106468i | ||||
\(435\) | 1.52985 | − | 2.03586i | 0.0733507 | − | 0.0976120i | ||||
\(436\) | −4.16150 | + | 1.97466i | −0.199300 | + | 0.0945690i | ||||
\(437\) | 5.62060i | 0.268870i | ||||||||
\(438\) | 1.45342 | + | 3.06303i | 0.0694473 | + | 0.146357i | ||||
\(439\) | −0.357722 | − | 0.372428i | −0.0170731 | − | 0.0177750i | 0.712611 | − | 0.701559i | \(-0.247512\pi\) |
−0.729684 | + | 0.683784i | \(0.760333\pi\) | |||||||
\(440\) | 0.288975 | + | 0.0589947i | 0.0137763 | + | 0.00281246i | ||||
\(441\) | 1.16217 | − | 1.68370i | 0.0553416 | − | 0.0801761i | ||||
\(442\) | −7.65193 | − | 5.23261i | −0.363965 | − | 0.248890i | ||||
\(443\) | −19.7180 | − | 28.5664i | −0.936828 | − | 1.35723i | −0.934015 | − | 0.357234i | \(-0.883720\pi\) |
−0.00281345 | − | 0.999996i | \(-0.500896\pi\) | |||||||
\(444\) | 6.53739 | + | 15.3438i | 0.310251 | + | 0.728185i | ||||
\(445\) | −9.59467 | + | 7.20993i | −0.454831 | + | 0.341783i | ||||
\(446\) | −0.399357 | + | 9.90993i | −0.0189101 | + | 0.469249i | ||||
\(447\) | 0.848693 | + | 3.44328i | 0.0401418 | + | 0.162862i | ||||
\(448\) | 3.33556 | − | 7.82885i | 0.157591 | − | 0.369879i | ||||
\(449\) | −15.5276 | + | 3.16999i | −0.732795 | + | 0.149601i | −0.551911 | − | 0.833903i | \(-0.686101\pi\) |
−0.180884 | + | 0.983504i | \(0.557896\pi\) | |||||||
\(450\) | −0.859449 | − | 0.593235i | −0.0405148 | − | 0.0279654i | ||||
\(451\) | −0.224485 | + | 0.0181223i | −0.0105706 | + | 0.000853345i | ||||
\(452\) | 9.85722 | + | 34.0311i | 0.463645 | + | 1.60069i | ||||
\(453\) | −4.72128 | − | 6.28289i | −0.221825 | − | 0.295196i | ||||
\(454\) | −4.31421 | − | 2.26427i | −0.202476 | − | 0.106268i | ||||
\(455\) | 2.07522 | + | 9.94359i | 0.0972879 | + | 0.466163i | ||||
\(456\) | −1.35362 | + | 0.710433i | −0.0633890 | + | 0.0332691i | ||||
\(457\) | −21.8207 | − | 10.3541i | −1.02073 | − | 0.484342i | −0.156627 | − | 0.987658i | \(-0.550062\pi\) |
−0.864103 | + | 0.503316i | \(0.832113\pi\) | |||||||
\(458\) | −1.58667 | + | 3.34383i | −0.0741401 | + | 0.156247i | ||||
\(459\) | 23.8827 | − | 7.97320i | 1.11475 | − | 0.372157i | ||||
\(460\) | 7.03956 | − | 7.94602i | 0.328221 | − | 0.370485i | ||||
\(461\) | 1.10675 | − | 6.81008i | 0.0515463 | − | 0.317177i | −0.948454 | − | 0.316916i | \(-0.897353\pi\) |
1.00000 | 0.000261175i | \(-8.31347e-5\pi\) | ||||||||
\(462\) | −0.198955 | − | 0.00801760i | −0.00925620 | − | 0.000373012i | ||||
\(463\) | 9.79464 | − | 3.71462i | 0.455195 | − | 0.172633i | −0.116341 | − | 0.993209i | \(-0.537117\pi\) |
0.571537 | + | 0.820576i | \(0.306347\pi\) | |||||||
\(464\) | 2.10082 | − | 7.25286i | 0.0975279 | − | 0.336706i | ||||
\(465\) | −0.839056 | + | 4.10997i | −0.0389103 | + | 0.190595i | ||||
\(466\) | −1.08326 | + | 13.4186i | −0.0501810 | + | 0.621604i | ||||
\(467\) | −1.75691 | + | 4.63259i | −0.0813000 | + | 0.214371i | −0.969502 | − | 0.245082i | \(-0.921185\pi\) |
0.888202 | + | 0.459452i | \(0.151954\pi\) | |||||||
\(468\) | −5.92226 | + | 12.6228i | −0.273756 | + | 0.583487i | ||||
\(469\) | −11.1077 | − | 29.2886i | −0.512906 | − | 1.35242i | ||||
\(470\) | −0.815187 | + | 0.236122i | −0.0376018 | + | 0.0108915i | ||||
\(471\) | −0.0886040 | − | 2.19869i | −0.00408266 | − | 0.101310i | ||||
\(472\) | −8.64454 | − | 10.5876i | −0.397897 | − | 0.487335i | ||||
\(473\) | −1.94136 | − | 0.235723i | −0.0892636 | − | 0.0108386i | ||||
\(474\) | 0.317251 | + | 3.92985i | 0.0145718 | + | 0.180504i | ||||
\(475\) | −0.900757 | − | 0.260907i | −0.0413295 | − | 0.0119712i | ||||
\(476\) | 6.41893 | − | 26.0426i | 0.294211 | − | 1.19366i | ||||
\(477\) | −17.9874 | − | 13.5167i | −0.823587 | − | 0.618886i | ||||
\(478\) | −8.61607 | + | 10.5528i | −0.394090 | + | 0.482673i | ||||
\(479\) | −16.7857 | + | 16.1229i | −0.766958 | + | 0.736674i | −0.970161 | − | 0.242463i | \(-0.922045\pi\) |
0.203202 | + | 0.979137i | \(0.434865\pi\) | |||||||
\(480\) | 4.29020 | + | 1.05744i | 0.195820 | + | 0.0482653i | ||||
\(481\) | −36.8418 | − | 7.35405i | −1.67984 | − | 0.335316i | ||||
\(482\) | −0.721355 | + | 0.177798i | −0.0328568 | + | 0.00809848i | ||||
\(483\) | −8.15570 | + | 12.8972i | −0.371097 | + | 0.586843i | ||||
\(484\) | −9.71800 | − | 16.8321i | −0.441727 | − | 0.765094i | ||||
\(485\) | 3.73838 | − | 6.47506i | 0.169751 | − | 0.294017i | ||||
\(486\) | 3.58908 | + | 6.83841i | 0.162804 | + | 0.310197i | ||||
\(487\) | −2.70562 | − | 8.10431i | −0.122603 | − | 0.367241i | 0.869292 | − | 0.494299i | \(-0.164575\pi\) |
−0.991895 | + | 0.127057i | \(0.959447\pi\) | |||||||
\(488\) | −11.3183 | − | 6.53464i | −0.512356 | − | 0.295809i | ||||
\(489\) | 3.47624 | + | 3.92387i | 0.157201 | + | 0.177443i | ||||
\(490\) | 0.378816 | − | 0.239549i | 0.0171132 | − | 0.0108217i | ||||
\(491\) | 14.1370 | − | 6.02320i | 0.637993 | − | 0.271823i | −0.0486526 | − | 0.998816i | \(-0.515493\pi\) |
0.686646 | + | 0.726992i | \(0.259082\pi\) | |||||||
\(492\) | −2.20301 | + | 0.0887782i | −0.0993193 | + | 0.00400243i | ||||
\(493\) | 1.82575 | − | 15.0364i | 0.0822275 | − | 0.677204i | ||||
\(494\) | 0.187938 | − | 1.60634i | 0.00845573 | − | 0.0722725i | ||||
\(495\) | −0.0430292 | − | 0.354378i | −0.00193402 | − | 0.0159281i | ||||
\(496\) | 1.99518 | + | 12.2769i | 0.0895864 | + | 0.551247i | ||||
\(497\) | 24.3495 | + | 15.3977i | 1.09222 | + | 0.690680i | ||||
\(498\) | −6.06326 | − | 0.985376i | −0.271701 | − | 0.0441557i | ||||
\(499\) | 4.66288 | − | 8.88438i | 0.208739 | − | 0.397719i | −0.758467 | − | 0.651711i | \(-0.774051\pi\) |
0.967206 | + | 0.253992i | \(0.0817437\pi\) | |||||||
\(500\) | 0.946653 | + | 1.49701i | 0.0423356 | + | 0.0669484i | ||||
\(501\) | −1.72916 | − | 1.66088i | −0.0772532 | − | 0.0742027i | ||||
\(502\) | −0.646614 | + | 0.0785132i | −0.0288598 | + | 0.00350421i | ||||
\(503\) | 2.10101 | + | 10.2914i | 0.0936792 | + | 0.458871i | 0.999388 | + | 0.0349714i | \(0.0111340\pi\) |
−0.905709 | + | 0.423900i | \(0.860661\pi\) | |||||||
\(504\) | 11.0593 | + | 0.892801i | 0.492622 | + | 0.0397685i | ||||
\(505\) | 9.42687 | + | 7.69680i | 0.419490 | + | 0.342503i | ||||
\(506\) | −0.468734 | −0.0208378 | ||||||||
\(507\) | 5.96268 | + | 10.1227i | 0.264812 | + | 0.449564i | ||||
\(508\) | −1.64888 | −0.0731570 | ||||||||
\(509\) | −11.2230 | − | 9.16326i | −0.497449 | − | 0.406154i | 0.350230 | − | 0.936664i | \(-0.386103\pi\) |
−0.847679 | + | 0.530509i | \(0.822001\pi\) | |||||||
\(510\) | 2.31594 | + | 0.186962i | 0.102551 | + | 0.00827881i | ||||
\(511\) | −4.41993 | − | 21.6502i | −0.195526 | − | 0.957751i | ||||
\(512\) | 22.6029 | − | 2.74448i | 0.998915 | − | 0.121290i | ||||
\(513\) | 3.16808 | + | 3.04298i | 0.139874 | + | 0.134351i | ||||
\(514\) | 6.37590 | + | 10.0827i | 0.281229 | + | 0.444728i | ||||
\(515\) | −8.39919 | + | 16.0033i | −0.370113 | + | 0.705191i | ||||
\(516\) | −18.8970 | − | 3.07106i | −0.831895 | − | 0.135196i | ||||
\(517\) | −0.245201 | − | 0.155056i | −0.0107839 | − | 0.00681933i | ||||
\(518\) | 2.25233 | + | 13.8592i | 0.0989619 | + | 0.608937i | ||||
\(519\) | 1.34851 | + | 11.1060i | 0.0591932 | + | 0.487500i | ||||
\(520\) | −4.84931 | + | 4.33402i | −0.212656 | + | 0.190059i | ||||
\(521\) | 1.11465 | − | 9.17994i | 0.0488335 | − | 0.402180i | −0.947712 | − | 0.319128i | \(-0.896610\pi\) |
0.996545 | − | 0.0830525i | \(-0.0264669\pi\) | |||||||
\(522\) | 2.94040 | − | 0.118494i | 0.128698 | − | 0.00518634i | ||||
\(523\) | −4.40896 | + | 1.87848i | −0.192790 | + | 0.0821403i | −0.486204 | − | 0.873845i | \(-0.661619\pi\) |
0.293414 | + | 0.955986i | \(0.405209\pi\) | |||||||
\(524\) | 4.71192 | − | 2.97964i | 0.205841 | − | 0.130166i | ||||
\(525\) | −1.68832 | − | 1.90572i | −0.0736842 | − | 0.0831723i | ||||
\(526\) | 5.30594 | + | 3.06339i | 0.231350 | + | 0.133570i | ||||
\(527\) | 7.90077 | + | 23.6657i | 0.344163 | + | 1.03089i | ||||
\(528\) | 0.184005 | + | 0.350593i | 0.00800780 | + | 0.0152576i | ||||
\(529\) | −6.46105 | + | 11.1909i | −0.280915 | + | 0.486559i | ||||
\(530\) | −2.46464 | − | 4.26888i | −0.107057 | − | 0.185428i | ||||
\(531\) | −8.84211 | + | 13.9827i | −0.383715 | + | 0.606797i | ||||
\(532\) | 4.54355 | − | 1.11988i | 0.196988 | − | 0.0485532i | ||||
\(533\) | 2.63602 | − | 4.20906i | 0.114179 | − | 0.182315i | ||||
\(534\) | 5.03712 | + | 1.24154i | 0.217977 | + | 0.0537266i | ||||
\(535\) | −8.49886 | + | 8.16327i | −0.367438 | + | 0.352929i | ||||
\(536\) | 12.6844 | − | 15.5355i | 0.547882 | − | 0.671033i | ||||
\(537\) | −7.44477 | − | 5.59438i | −0.321266 | − | 0.241415i | ||||
\(538\) | 3.02248 | − | 12.2627i | 0.130308 | − | 0.528682i | ||||
\(539\) | 0.147162 | + | 0.0426260i | 0.00633872 | + | 0.00183603i | ||||
\(540\) | −0.667611 | − | 8.26985i | −0.0287294 | − | 0.355878i | ||||
\(541\) | 7.39696 | + | 0.898153i | 0.318020 | + | 0.0386146i | 0.277990 | − | 0.960584i | \(-0.410332\pi\) |
0.0400297 | + | 0.999198i | \(0.487255\pi\) | |||||||
\(542\) | −1.57473 | − | 1.92870i | −0.0676405 | − | 0.0828446i | ||||
\(543\) | −0.609858 | − | 15.1335i | −0.0261715 | − | 0.649439i | ||||
\(544\) | 25.2435 | − | 7.31188i | 1.08231 | − | 0.313494i | ||||
\(545\) | 0.922189 | + | 2.43161i | 0.0395022 | + | 0.104159i | ||||
\(546\) | 2.76210 | − | 3.41324i | 0.118207 | − | 0.146073i | ||||
\(547\) | −14.1764 | + | 37.3801i | −0.606139 | + | 1.59826i | 0.182366 | + | 0.983231i | \(0.441624\pi\) |
−0.788506 | + | 0.615027i | \(0.789145\pi\) | |||||||
\(548\) | 2.23984 | − | 27.7454i | 0.0956813 | − | 1.18523i | ||||
\(549\) | −3.16413 | + | 15.4989i | −0.135042 | + | 0.661479i | ||||
\(550\) | 0.0217586 | − | 0.0751193i | 0.000927789 | − | 0.00320310i | ||||
\(551\) | 2.47087 | − | 0.937079i | 0.105263 | − | 0.0399209i | ||||
\(552\) | −9.76238 | − | 0.393410i | −0.415514 | − | 0.0167447i | ||||
\(553\) | 4.12197 | − | 25.3635i | 0.175284 | − | 1.07857i | ||||
\(554\) | 4.81642 | − | 5.43661i | 0.204630 | − | 0.230980i | ||||
\(555\) | 8.93179 | − | 2.98187i | 0.379133 | − | 0.126573i | ||||
\(556\) | −15.1247 | + | 31.8747i | −0.641432 | + | 1.35179i | ||||
\(557\) | 6.93218 | + | 3.28936i | 0.293726 | + | 0.139375i | 0.569854 | − | 0.821746i | \(-0.307000\pi\) |
−0.276128 | + | 0.961121i | \(0.589051\pi\) | |||||||
\(558\) | −4.29210 | + | 2.25267i | −0.181699 | + | 0.0953631i | ||||
\(559\) | 29.7374 | − | 31.2315i | 1.25776 | − | 1.32095i | ||||
\(560\) | −6.68452 | − | 3.50831i | −0.282473 | − | 0.148253i | ||||
\(561\) | 0.477135 | + | 0.634951i | 0.0201447 | + | 0.0268077i | ||||
\(562\) | −2.06663 | − | 7.13483i | −0.0871755 | − | 0.300965i | ||||
\(563\) | 0.386199 | − | 0.0311772i | 0.0162763 | − | 0.00131396i | −0.0723257 | − | 0.997381i | \(-0.523042\pi\) |
0.0886021 | + | 0.996067i | \(0.471760\pi\) | |||||||
\(564\) | −2.33738 | − | 1.61338i | −0.0984215 | − | 0.0679355i | ||||
\(565\) | 19.5989 | − | 4.00115i | 0.824533 | − | 0.168330i | ||||
\(566\) | −2.15626 | + | 5.06093i | −0.0906343 | + | 0.212727i | ||||
\(567\) | −1.56197 | − | 6.33715i | −0.0655964 | − | 0.266135i | ||||
\(568\) | −0.742746 | + | 18.4310i | −0.0311649 | + | 0.773350i | ||||
\(569\) | −12.0309 | + | 9.04060i | −0.504360 | + | 0.379002i | −0.822251 | − | 0.569125i | \(-0.807282\pi\) |
0.317891 | + | 0.948127i | \(0.397025\pi\) | |||||||
\(570\) | 0.158890 | + | 0.372929i | 0.00665518 | + | 0.0156203i | ||||
\(571\) | 12.5280 | + | 18.1500i | 0.524282 | + | 0.759554i | 0.992259 | − | 0.124187i | \(-0.0396322\pi\) |
−0.467977 | + | 0.883741i | \(0.655017\pi\) | |||||||
\(572\) | −1.03710 | − | 0.121339i | −0.0433634 | − | 0.00507343i | ||||
\(573\) | 5.57843 | − | 8.08176i | 0.233042 | − | 0.337620i | ||||
\(574\) | −1.81863 | − | 0.371276i | −0.0759082 | − | 0.0154968i | ||||
\(575\) | −4.15185 | − | 4.32253i | −0.173144 | − | 0.180262i | ||||
\(576\) | −2.82716 | − | 5.95811i | −0.117798 | − | 0.248255i | ||||
\(577\) | − | 4.84556i | − | 0.201723i | −0.994900 | − | 0.100862i | \(-0.967840\pi\) | ||
0.994900 | − | 0.100862i | \(-0.0321599\pi\) | |||||||
\(578\) | 5.13910 | − | 2.43853i | 0.213758 | − | 0.101430i | ||||
\(579\) | 4.55597 | − | 6.06289i | 0.189340 | − | 0.251965i | ||||
\(580\) | −4.66681 | − | 1.76989i | −0.193779 | − | 0.0734905i | ||||
\(581\) | 36.8323 | + | 15.6928i | 1.52806 | + | 0.651045i | ||||
\(582\) | −3.19006 | + | 0.518434i | −0.132232 | + | 0.0214898i | ||||
\(583\) | 0.533584 | − | 1.59828i | 0.0220988 | − | 0.0661940i | ||||
\(584\) | 10.5900 | − | 9.38189i | 0.438216 | − | 0.388225i | ||||
\(585\) | 6.83446 | + | 3.90623i | 0.282570 | + | 0.161503i | ||||
\(586\) | 4.52021 | + | 4.00456i | 0.186728 | + | 0.165427i | ||||
\(587\) | −11.8839 | + | 6.86118i | −0.490501 | + | 0.283191i | −0.724782 | − | 0.688978i | \(-0.758060\pi\) |
0.234281 | + | 0.972169i | \(0.424726\pi\) | |||||||
\(588\) | 1.42271 | + | 0.474969i | 0.0586714 | + | 0.0195874i | ||||
\(589\) | −3.01534 | + | 3.13930i | −0.124245 | + | 0.129353i | ||||
\(590\) | −2.98283 | + | 2.05890i | −0.122801 | + | 0.0847636i | ||||
\(591\) | −4.29360 | + | 3.50561i | −0.176615 | + | 0.144202i | ||||
\(592\) | 21.6276 | − | 17.6584i | 0.888887 | − | 0.725754i | ||||
\(593\) | −21.3212 | + | 14.7169i | −0.875555 | + | 0.604352i | −0.918805 | − | 0.394712i | \(-0.870844\pi\) |
0.0432498 | + | 0.999064i | \(0.486229\pi\) | |||||||
\(594\) | −0.253772 | + | 0.264205i | −0.0104124 | + | 0.0108405i | ||||
\(595\) | −14.3640 | − | 4.79540i | −0.588866 | − | 0.196592i | ||||
\(596\) | 6.01935 | − | 3.47528i | 0.246562 | − | 0.142353i | ||||
\(597\) | −15.2407 | − | 13.5020i | −0.623759 | − | 0.552602i | ||||
\(598\) | 6.17338 | − | 8.29034i | 0.252448 | − | 0.339017i | ||||
\(599\) | −4.00919 | + | 3.55184i | −0.163811 | + | 0.145124i | −0.741046 | − | 0.671454i | \(-0.765670\pi\) |
0.577235 | + | 0.816578i | \(0.304132\pi\) | |||||||
\(600\) | 0.516216 | − | 1.54626i | 0.0210744 | − | 0.0631256i | ||||
\(601\) | 41.0843 | − | 6.67686i | 1.67587 | − | 0.272355i | 0.753153 | − | 0.657845i | \(-0.228532\pi\) |
0.922712 | + | 0.385490i | \(0.125968\pi\) | |||||||
\(602\) | −14.8277 | − | 6.31751i | −0.604333 | − | 0.257482i | ||||
\(603\) | −22.6977 | − | 8.60812i | −0.924323 | − | 0.350550i | ||||
\(604\) | −9.25337 | + | 12.3140i | −0.376514 | + | 0.501050i | ||||
\(605\) | −9.91380 | + | 4.70416i | −0.403053 | + | 0.191251i | ||||
\(606\) | − | 5.26057i | − | 0.213696i | ||||||
\(607\) | 2.06385 | + | 4.34946i | 0.0837689 | + | 0.176539i | 0.941012 | − | 0.338372i | \(-0.109876\pi\) |
−0.857244 | + | 0.514911i | \(0.827825\pi\) | |||||||
\(608\) | 3.17626 | + | 3.30683i | 0.128814 | + | 0.134110i | ||||
\(609\) | 7.02948 | + | 1.43508i | 0.284849 | + | 0.0581523i | ||||
\(610\) | −1.96865 | + | 2.85208i | −0.0797082 | + | 0.115477i | ||||
\(611\) | 5.97178 | − | 2.29464i | 0.241593 | − | 0.0928314i | ||||
\(612\) | −11.8079 | − | 17.1067i | −0.477307 | − | 0.691499i | ||||
\(613\) | 3.64805 | + | 8.56230i | 0.147344 | + | 0.345828i | 0.977255 | − | 0.212067i | \(-0.0680195\pi\) |
−0.829912 | + | 0.557895i | \(0.811609\pi\) | |||||||
\(614\) | 3.68158 | − | 2.76653i | 0.148577 | − | 0.111648i | ||||
\(615\) | −0.0501228 | + | 1.24379i | −0.00202115 | + | 0.0501543i | ||||
\(616\) | 0.198851 | + | 0.806770i | 0.00801193 | + | 0.0325057i | ||||
\(617\) | −2.82137 | + | 6.62200i | −0.113584 | + | 0.266592i | −0.967064 | − | 0.254535i | \(-0.918078\pi\) |
0.853480 | + | 0.521126i | \(0.174488\pi\) | |||||||
\(618\) | 7.65460 | − | 1.56270i | 0.307913 | − | 0.0628609i | ||||
\(619\) | −9.40251 | − | 6.49009i | −0.377919 | − | 0.260859i | 0.363929 | − | 0.931427i | \(-0.381435\pi\) |
−0.741848 | + | 0.670568i | \(0.766050\pi\) | |||||||
\(620\) | 8.19473 | − | 0.661547i | 0.329108 | − | 0.0265684i | ||||
\(621\) | 7.81093 | + | 26.9665i | 0.313442 | + | 1.08213i | ||||
\(622\) | 3.79408 | + | 5.04900i | 0.152129 | + | 0.202446i | ||||
\(623\) | −29.9391 | − | 15.7133i | −1.19949 | − | 0.629539i | ||||
\(624\) | −8.62421 | − | 1.36299i | −0.345245 | − | 0.0545631i | ||||
\(625\) | 0.885456 | − | 0.464723i | 0.0354182 | − | 0.0185889i | ||||
\(626\) | −10.9936 | − | 5.21654i | −0.439394 | − | 0.208495i | ||||
\(627\) | −0.0594032 | + | 0.125190i | −0.00237233 | + | 0.00499959i | ||||
\(628\) | −4.09081 | + | 1.36571i | −0.163241 | + | 0.0544979i | ||||
\(629\) | 37.1397 | − | 41.9221i | 1.48086 | − | 1.67154i | ||||
\(630\) | 0.471947 | − | 2.90401i | 0.0188028 | − | 0.115698i | ||||
\(631\) | 46.3788 | + | 1.86900i | 1.84631 | + | 0.0744037i | 0.938562 | − | 0.345112i | \(-0.112159\pi\) |
0.907748 | + | 0.419516i | \(0.137800\pi\) | |||||||
\(632\) | 15.3835 | − | 5.83421i | 0.611925 | − | 0.232072i | ||||
\(633\) | 1.36805 | − | 4.72305i | 0.0543751 | − | 0.187725i | ||||
\(634\) | 1.52528 | − | 7.47132i | 0.0605767 | − | 0.296724i | ||||
\(635\) | −0.0749087 | + | 0.927911i | −0.00297266 | + | 0.0368230i | ||||
\(636\) | 5.84944 | − | 15.4237i | 0.231945 | − | 0.611590i | ||||
\(637\) | −2.69208 | + | 2.04140i | −0.106664 | + | 0.0808833i | ||||
\(638\) | 0.0781485 | + | 0.206061i | 0.00309393 | + | 0.00815802i | ||||
\(639\) | 21.4450 | − | 6.21161i | 0.848350 | − | 0.245727i | ||||
\(640\) | −0.451926 | − | 11.2144i | −0.0178640 | − | 0.443290i | ||||
\(641\) | −9.21742 | − | 11.2893i | −0.364066 | − | 0.445900i | 0.559793 | − | 0.828632i | \(-0.310881\pi\) |
−0.923859 | + | 0.382732i | \(0.874983\pi\) | |||||||
\(642\) | 5.05675 | + | 0.614001i | 0.199574 | + | 0.0242327i | ||||
\(643\) | 0.265656 | + | 3.29074i | 0.0104764 | + | 0.129774i | 0.999881 | − | 0.0154089i | \(-0.00490500\pi\) |
−0.989405 | + | 0.145183i | \(0.953623\pi\) | |||||||
\(644\) | 28.7268 | + | 8.32081i | 1.13199 | + | 0.327886i | ||||
\(645\) | −2.58675 | + | 10.4949i | −0.101853 | + | 0.413234i | ||||
\(646\) | 1.92751 | + | 1.44843i | 0.0758367 | + | 0.0569876i | ||||
\(647\) | −9.61246 | + | 11.7731i | −0.377905 | + | 0.462849i | −0.928179 | − | 0.372135i | \(-0.878626\pi\) |
0.550274 | + | 0.834984i | \(0.314523\pi\) | |||||||
\(648\) | 3.01387 | − | 2.89486i | 0.118396 | − | 0.113721i | ||||
\(649\) | −1.20295 | − | 0.296500i | −0.0472198 | − | 0.0116386i | ||||
\(650\) | 1.04204 | + | 1.37418i | 0.0408722 | + | 0.0538998i | ||||
\(651\) | −11.4743 | + | 2.82817i | −0.449715 | + | 0.110845i | ||||
\(652\) | 5.49131 | − | 8.68381i | 0.215056 | − | 0.340084i | ||||
\(653\) | 19.7128 | + | 34.1436i | 0.771422 | + | 1.33614i | 0.936783 | + | 0.349910i | \(0.113788\pi\) |
−0.165361 | + | 0.986233i | \(0.552879\pi\) | |||||||
\(654\) | 0.562071 | − | 0.973535i | 0.0219787 | − | 0.0380682i | ||||
\(655\) | −1.46274 | − | 2.78702i | −0.0571539 | − | 0.108898i | ||||
\(656\) | 1.16881 | + | 3.50102i | 0.0456345 | + | 0.136692i | ||||
\(657\) | −14.8301 | − | 8.56217i | −0.578578 | − | 0.334042i | ||||
\(658\) | −1.58553 | − | 1.78969i | −0.0618104 | − | 0.0697696i | ||||
\(659\) | −35.4635 | + | 22.4258i | −1.38146 | + | 0.873584i | −0.998735 | − | 0.0502767i | \(-0.983990\pi\) |
−0.382728 | + | 0.923861i | \(0.625015\pi\) | |||||||
\(660\) | 0.240775 | − | 0.102585i | 0.00937214 | − | 0.00399310i | ||||
\(661\) | −42.7847 | + | 1.72416i | −1.66413 | + | 0.0670622i | −0.854360 | − | 0.519682i | \(-0.826050\pi\) |
−0.809772 | + | 0.586744i | \(0.800409\pi\) | |||||||
\(662\) | −0.341422 | + | 2.81186i | −0.0132697 | + | 0.109286i | ||||
\(663\) | −17.5142 | + | 0.0763987i | −0.680194 | + | 0.00296708i | ||||
\(664\) | 3.08984 | + | 25.4471i | 0.119909 | + | 0.987541i | ||||
\(665\) | −0.423805 | − | 2.60778i | −0.0164345 | − | 0.101125i | ||||
\(666\) | 9.19680 | + | 5.81570i | 0.356369 | + | 0.225354i | ||||
\(667\) | 16.6705 | + | 2.70923i | 0.645486 | + | 0.104902i | ||||
\(668\) | −2.18380 | + | 4.16088i | −0.0844937 | + | 0.160989i | ||||
\(669\) | 10.0152 | + | 15.8377i | 0.387209 | + | 0.612322i | ||||
\(670\) | −3.83550 | − | 3.68405i | −0.148178 | − | 0.142327i | ||||
\(671\) | −1.17600 | + | 0.142792i | −0.0453990 | + | 0.00551244i | ||||
\(672\) | 2.49000 | + | 12.1968i | 0.0960538 | + | 0.470503i | ||||
\(673\) | −13.8348 | − | 1.11686i | −0.533293 | − | 0.0430519i | −0.189113 | − | 0.981955i | \(-0.560561\pi\) |
−0.344180 | + | 0.938904i | \(0.611843\pi\) | |||||||
\(674\) | −10.3309 | − | 8.43488i | −0.397930 | − | 0.324899i | ||||
\(675\) | −4.68422 | −0.180296 | ||||||||
\(676\) | 15.8050 | − | 16.7448i | 0.607886 | − | 0.644030i | ||||
\(677\) | −9.94663 | −0.382280 | −0.191140 | − | 0.981563i | \(-0.561218\pi\) | ||||
−0.191140 | + | 0.981563i | \(0.561218\pi\) | |||||||
\(678\) | −6.69770 | − | 5.46850i | −0.257223 | − | 0.210016i | ||||
\(679\) | 20.9958 | + | 1.69495i | 0.805743 | + | 0.0650463i | ||||
\(680\) | −1.93943 | − | 9.49994i | −0.0743736 | − | 0.364306i | ||||
\(681\) | −9.13844 | + | 1.10961i | −0.350186 | + | 0.0425203i | ||||
\(682\) | −0.261805 | − | 0.251467i | −0.0100250 | − | 0.00962916i | ||||
\(683\) | 14.6019 | + | 23.0911i | 0.558726 | + | 0.883555i | 0.999904 | − | 0.0138647i | \(-0.00441340\pi\) |
−0.441177 | + | 0.897420i | \(0.645439\pi\) | |||||||
\(684\) | 1.68531 | − | 3.21110i | 0.0644396 | − | 0.122779i | ||||
\(685\) | −15.5121 | − | 2.52096i | −0.592686 | − | 0.0963209i | ||||
\(686\) | −6.90531 | − | 4.36666i | −0.263646 | − | 0.166720i | ||||
\(687\) | 1.12174 | + | 6.90232i | 0.0427969 | + | 0.263340i | ||||
\(688\) | 3.86318 | + | 31.8162i | 0.147282 | + | 1.21298i | ||||
\(689\) | 21.2407 | + | 30.4872i | 0.809207 | + | 1.16147i | ||||
\(690\) | −0.312281 | + | 2.57187i | −0.0118884 | + | 0.0979094i | ||||
\(691\) | 45.4696 | − | 1.83236i | 1.72975 | − | 0.0697063i | 0.844708 | − | 0.535227i | \(-0.179774\pi\) |
0.885037 | + | 0.465521i | \(0.154133\pi\) | |||||||
\(692\) | 20.1723 | − | 8.59459i | 0.766834 | − | 0.326717i | ||||
\(693\) | 0.850018 | − | 0.537519i | 0.0322895 | − | 0.0204187i | ||||
\(694\) | 6.76722 | + | 7.63862i | 0.256880 | + | 0.289958i | ||||
\(695\) | 17.2505 | + | 9.95959i | 0.654349 | + | 0.377789i | ||||
\(696\) | 1.45466 | + | 4.35723i | 0.0551387 | + | 0.165161i | ||||
\(697\) | 3.44074 | + | 6.55579i | 0.130328 | + | 0.248318i | ||||
\(698\) | 7.43435 | − | 12.8767i | 0.281394 | − | 0.487389i | ||||
\(699\) | 12.7175 | + | 22.0274i | 0.481021 | + | 0.833154i | ||||
\(700\) | −2.66698 | + | 4.21750i | −0.100802 | + | 0.159406i | ||||
\(701\) | −8.02623 | + | 1.97829i | −0.303147 | + | 0.0747189i | −0.387955 | − | 0.921678i | \(-0.626818\pi\) |
0.0848083 | + | 0.996397i | \(0.472972\pi\) | |||||||
\(702\) | −1.33063 | − | 7.96804i | −0.0502215 | − | 0.300734i | ||||
\(703\) | 9.48743 | + | 2.33844i | 0.357825 | + | 0.0881960i | ||||
\(704\) | 0.356188 | − | 0.342123i | 0.0134243 | − | 0.0128942i | ||||
\(705\) | −1.01412 | + | 1.24207i | −0.0381941 | + | 0.0467792i | ||||
\(706\) | 10.3202 | + | 7.75510i | 0.388405 | + | 0.291867i | ||||
\(707\) | −8.20517 | + | 33.2897i | −0.308587 | + | 1.25199i | ||||
\(708\) | −11.6501 | − | 3.37449i | −0.437838 | − | 0.126821i | ||||
\(709\) | −0.772636 | − | 9.57081i | −0.0290169 | − | 0.359439i | −0.994930 | − | 0.100572i | \(-0.967933\pi\) |
0.965913 | − | 0.258867i | \(-0.0833493\pi\) | |||||||
\(710\) | 4.85560 | + | 0.589577i | 0.182228 | + | 0.0221264i | ||||
\(711\) | −12.5944 | − | 15.4253i | −0.472327 | − | 0.578496i | ||||
\(712\) | −0.871720 | − | 21.6315i | −0.0326691 | − | 0.810675i | ||||
\(713\) | −26.7215 | + | 7.73997i | −1.00073 | + | 0.289864i | ||||
\(714\) | 2.32119 | + | 6.12049i | 0.0868685 | + | 0.229053i | ||||
\(715\) | −0.115400 | + | 0.578120i | −0.00431570 | + | 0.0216205i | ||||
\(716\) | −6.47215 | + | 17.0657i | −0.241876 | + | 0.637774i | ||||
\(717\) | −2.07118 | + | 25.6562i | −0.0773496 | + | 0.958147i | ||||
\(718\) | 2.03517 | − | 9.96891i | 0.0759518 | − | 0.372037i | ||||
\(719\) | 11.9149 | − | 41.1350i | 0.444351 | − | 1.53408i | −0.355966 | − | 0.934499i | \(-0.615848\pi\) |
0.800317 | − | 0.599578i | \(-0.204665\pi\) | |||||||
\(720\) | −5.47025 | + | 2.07459i | −0.203864 | + | 0.0773154i | ||||
\(721\) | −50.8768 | − | 2.05027i | −1.89475 | − | 0.0763559i | ||||
\(722\) | 1.39034 | − | 8.55512i | 0.0517432 | − | 0.318389i | ||||
\(723\) | −0.930820 | + | 1.05068i | −0.0346176 | + | 0.0390751i | ||||
\(724\) | −28.1569 | + | 9.40015i | −1.04644 | + | 0.349354i | ||||
\(725\) | −1.20802 | + | 2.54586i | −0.0448649 | + | 0.0945508i | ||||
\(726\) | 4.28535 | + | 2.03342i | 0.159044 | + | 0.0754674i | ||||
\(727\) | 25.4667 | − | 13.3660i | 0.944509 | − | 0.495717i | 0.0791468 | − | 0.996863i | \(-0.474780\pi\) |
0.865363 | + | 0.501146i | \(0.167088\pi\) | |||||||
\(728\) | −16.8880 | − | 7.10842i | −0.625910 | − | 0.263455i | ||||
\(729\) | 6.76622 | + | 3.55119i | 0.250601 | + | 0.131526i | ||||
\(730\) | −2.25374 | − | 2.99918i | −0.0834146 | − | 0.111005i | ||||
\(731\) | 17.8866 | + | 61.7517i | 0.661560 | + | 2.28397i | ||||
\(732\) | −11.5597 | + | 0.933195i | −0.427259 | + | 0.0344919i | ||||
\(733\) | −31.6470 | − | 21.8444i | −1.16891 | − | 0.806840i | −0.184517 | − | 0.982829i | \(-0.559072\pi\) |
−0.984392 | + | 0.175989i | \(0.943688\pi\) | |||||||
\(734\) | 11.4761 | − | 2.34287i | 0.423592 | − | 0.0864770i | ||||
\(735\) | 0.331924 | − | 0.779055i | 0.0122432 | − | 0.0287359i | ||||
\(736\) | 7.01302 | + | 28.4529i | 0.258503 | + | 1.04879i | ||||
\(737\) | 0.0732013 | − | 1.81647i | 0.00269640 | − | 0.0669105i | ||||
\(738\) | −1.14996 | + | 0.864139i | −0.0423306 | + | 0.0318094i | ||||
\(739\) | −3.96596 | − | 9.30844i | −0.145890 | − | 0.342417i | 0.830963 | − | 0.556328i | \(-0.187790\pi\) |
−0.976853 | + | 0.213911i | \(0.931380\pi\) | |||||||
\(740\) | −10.4839 | − | 15.1885i | −0.385395 | − | 0.558341i | ||||
\(741\) | −1.43182 | − | 2.69943i | −0.0525993 | − | 0.0991660i | ||||
\(742\) | 7.88878 | − | 11.4289i | 0.289606 | − | 0.419567i | ||||
\(743\) | 36.6006 | + | 7.47207i | 1.34275 | + | 0.274124i | 0.817059 | − | 0.576554i | \(-0.195603\pi\) |
0.525687 | + | 0.850678i | \(0.323808\pi\) | |||||||
\(744\) | −5.24157 | − | 5.45706i | −0.192165 | − | 0.200065i | ||||
\(745\) | −1.68226 | − | 3.54530i | −0.0616334 | − | 0.129890i | ||||
\(746\) | − | 10.4364i | − | 0.382102i | ||||||
\(747\) | 28.0310 | − | 13.3009i | 1.02560 | − | 0.486654i | ||||
\(748\) | 0.935150 | − | 1.24446i | 0.0341925 | − | 0.0455019i | ||||
\(749\) | −31.0422 | − | 11.7727i | −1.13426 | − | 0.430167i | ||||
\(750\) | −0.397671 | − | 0.169432i | −0.0145209 | − | 0.00618678i | ||||
\(751\) | 18.0190 | − | 2.92838i | 0.657524 | − | 0.106858i | 0.177510 | − | 0.984119i | \(-0.443196\pi\) |
0.480014 | + | 0.877261i | \(0.340632\pi\) | |||||||
\(752\) | −1.50562 | + | 4.50987i | −0.0549042 | + | 0.164458i | ||||
\(753\) | −0.921164 | + | 0.816080i | −0.0335691 | + | 0.0297396i | ||||
\(754\) | −4.67376 | − | 1.33170i | −0.170208 | − | 0.0484977i | ||||
\(755\) | 6.50937 | + | 5.76680i | 0.236900 | + | 0.209875i | ||||
\(756\) | 20.2427 | − | 11.6871i | 0.736220 | − | 0.425057i | ||||
\(757\) | −26.2995 | − | 8.78006i | −0.955871 | − | 0.319117i | −0.204404 | − | 0.978887i | \(-0.565526\pi\) |
−0.751468 | + | 0.659770i | \(0.770654\pi\) | |||||||
\(758\) | −9.30784 | + | 9.69049i | −0.338076 | + | 0.351974i | ||||
\(759\) | −0.728843 | + | 0.503084i | −0.0264553 | + | 0.0182608i | ||||
\(760\) | 1.31032 | − | 1.06985i | 0.0475304 | − | 0.0388074i | ||||
\(761\) | 18.4783 | − | 15.0870i | 0.669836 | − | 0.546904i | −0.235355 | − | 0.971910i | \(-0.575625\pi\) |
0.905191 | + | 0.425005i | \(0.139728\pi\) | |||||||
\(762\) | 0.331173 | − | 0.228592i | 0.0119971 | − | 0.00828101i | ||||
\(763\) | −5.07534 | + | 5.28399i | −0.183740 | + | 0.191293i | ||||
\(764\) | −18.2561 | − | 6.09479i | −0.660483 | − | 0.220502i | ||||
\(765\) | −10.1633 | + | 5.86780i | −0.367456 | + | 0.212151i | ||||
\(766\) | 0.0189374 | + | 0.0167771i | 0.000684236 | + | 0.000606180i | ||||
\(767\) | 21.0873 | − | 17.3711i | 0.761418 | − | 0.627234i | ||||
\(768\) | 0.455083 | − | 0.403169i | 0.0164214 | − | 0.0145481i | ||||
\(769\) | −5.79965 | + | 17.3721i | −0.209141 | + | 0.626453i | 0.790757 | + | 0.612131i | \(0.209687\pi\) |
−0.999897 | + | 0.0143225i | \(0.995441\pi\) | |||||||
\(770\) | 0.217478 | − | 0.0353436i | 0.00783735 | − | 0.00127369i | ||||
\(771\) | 20.7355 | + | 8.83459i | 0.746772 | + | 0.318170i | ||||
\(772\) | −13.8980 | − | 5.27081i | −0.500199 | − | 0.189701i | ||||
\(773\) | −13.3755 | + | 17.7996i | −0.481084 | + | 0.640207i | −0.973101 | − | 0.230379i | \(-0.926003\pi\) |
0.492017 | + | 0.870586i | \(0.336260\pi\) | |||||||
\(774\) | −11.2846 | + | 5.35460i | −0.405616 | + | 0.192467i | ||||
\(775\) | − | 4.64167i | − | 0.166734i | ||||||
\(776\) | 5.78169 | + | 12.1847i | 0.207551 | + | 0.437404i | ||||
\(777\) | 18.3770 | + | 19.1325i | 0.659270 | + | 0.686373i | ||||
\(778\) | 14.4838 | + | 2.95689i | 0.519269 | + | 0.106010i | ||||
\(779\) | −0.733781 | + | 1.06307i | −0.0262904 | + | 0.0380883i | ||||
\(780\) | −1.35671 | + | 5.60957i | −0.0485779 | + | 0.200855i | ||||
\(781\) | 0.949806 | + | 1.37603i | 0.0339867 | + | 0.0492383i | ||||
\(782\) | 6.03999 | + | 14.1764i | 0.215990 | + | 0.506946i | ||||
\(783\) | 10.5525 | − | 7.92967i | 0.377115 | − | 0.283383i | ||||
\(784\) | 0.101105 | − | 2.50889i | 0.00361088 | − | 0.0896030i | ||||
\(785\) | 0.582714 | + | 2.36417i | 0.0207980 | + | 0.0843807i | ||||
\(786\) | −0.533295 | + | 1.25169i | −0.0190220 | + | 0.0446463i | ||||
\(787\) | −4.55246 | + | 0.929392i | −0.162278 | + | 0.0331293i | −0.280478 | − | 0.959861i | \(-0.590493\pi\) |
0.118200 | + | 0.992990i | \(0.462288\pi\) | |||||||
\(788\) | 8.94071 | + | 6.17133i | 0.318500 | + | 0.219844i | ||||
\(789\) | 11.5382 | − | 0.931457i | 0.410770 | − | 0.0331608i | ||||
\(790\) | −1.21378 | − | 4.19046i | −0.0431844 | − | 0.149090i | ||||
\(791\) | 33.8545 | + | 45.0522i | 1.20373 | + | 1.60187i | ||||
\(792\) | 0.570175 | + | 0.299251i | 0.0202603 | + | 0.0106334i | ||||
\(793\) | 12.9628 | − | 22.6801i | 0.460323 | − | 0.805395i | ||||
\(794\) | −13.1524 | + | 6.90289i | −0.466760 | + | 0.244974i | ||||
\(795\) | −8.41401 | − | 3.99250i | −0.298414 | − | 0.141599i | ||||
\(796\) | −17.1077 | + | 36.0537i | −0.606366 | + | 1.27789i | ||||
\(797\) | −10.6062 | + | 3.54088i | −0.375692 | + | 0.125424i | −0.498242 | − | 0.867038i | \(-0.666021\pi\) |
0.122550 | + | 0.992462i | \(0.460893\pi\) | |||||||
\(798\) | −0.757306 | + | 0.854821i | −0.0268083 | + | 0.0302603i | ||||
\(799\) | −1.52990 | + | 9.41385i | −0.0541239 | + | 0.333038i | ||||
\(800\) | −4.88541 | − | 0.196875i | −0.172725 | − | 0.00696059i | ||||
\(801\) | −24.5005 | + | 9.29183i | −0.865684 | + | 0.328311i | ||||
\(802\) | −2.03657 | + | 7.03104i | −0.0719136 | + | 0.248275i | ||||
\(803\) | 0.256517 | − | 1.25651i | 0.00905230 | − | 0.0443411i | ||||
\(804\) | 1.43208 | − | 17.7395i | 0.0505056 | − | 0.625624i | ||||
\(805\) | 5.98763 | − | 15.7881i | 0.211036 | − | 0.556457i | ||||
\(806\) | 7.89565 | − | 1.31854i | 0.278113 | − | 0.0464438i | ||||
\(807\) | −8.46160 | − | 22.3114i | −0.297863 | − | 0.785399i | ||||
\(808\) | −21.0857 | + | 6.10756i | −0.741794 | + | 0.214863i | ||||
\(809\) | −1.54930 | − | 38.4455i | −0.0544705 | − | 1.35167i | −0.763187 | − | 0.646178i | \(-0.776366\pi\) |
0.708716 | − | 0.705494i | \(-0.249275\pi\) | |||||||
\(810\) | −0.700825 | − | 0.858355i | −0.0246245 | − | 0.0301595i | ||||
\(811\) | 27.2443 | + | 3.30806i | 0.956678 | + | 0.116162i | 0.583960 | − | 0.811783i | \(-0.301503\pi\) |
0.372718 | + | 0.927944i | \(0.378426\pi\) | |||||||
\(812\) | −1.13148 | − | 14.0158i | −0.0397070 | − | 0.491860i | ||||
\(813\) | −4.51861 | − | 1.30883i | −0.158475 | − | 0.0459027i | ||||
\(814\) | −0.195016 | + | 0.791211i | −0.00683531 | + | 0.0277319i | ||||
\(815\) | −4.63738 | − | 3.48476i | −0.162440 | − | 0.122066i | ||||
\(816\) | 8.23226 | − | 10.0827i | 0.288187 | − | 0.352965i | ||||
\(817\) | −8.08931 | + | 7.76988i | −0.283009 | + | 0.271834i | ||||
\(818\) | −7.64458 | − | 1.88422i | −0.267286 | − | 0.0658802i | ||||
\(819\) | −1.68811 | + | 22.1133i | −0.0589874 | + | 0.772700i | ||||
\(820\) | 2.36881 | − | 0.583860i | 0.0827226 | − | 0.0203893i | ||||
\(821\) | −12.8483 | + | 20.3180i | −0.448410 | + | 0.709104i | −0.991433 | − | 0.130614i | \(-0.958305\pi\) |
0.543023 | + | 0.839718i | \(0.317280\pi\) | |||||||
\(822\) | 3.39662 | + | 5.88312i | 0.118471 | + | 0.205197i | ||||
\(823\) | 12.9337 | − | 22.4018i | 0.450841 | − | 0.780879i | −0.547598 | − | 0.836742i | \(-0.684458\pi\) |
0.998438 | + | 0.0558627i | \(0.0177909\pi\) | |||||||
\(824\) | −15.1507 | − | 28.8673i | −0.527801 | − | 1.00564i | ||||
\(825\) | −0.0467914 | − | 0.140157i | −0.00162907 | − | 0.00487965i | ||||
\(826\) | −8.84296 | − | 5.10548i | −0.307686 | − | 0.177643i | ||||
\(827\) | 31.4943 | + | 35.5498i | 1.09517 | + | 1.23619i | 0.969755 | + | 0.244081i | \(0.0784864\pi\) |
0.125411 | + | 0.992105i | \(0.459975\pi\) | |||||||
\(828\) | 19.5893 | − | 12.3875i | 0.680777 | − | 0.430497i | ||||
\(829\) | 21.3100 | − | 9.07934i | 0.740126 | − | 0.315338i | 0.0112063 | − | 0.999937i | \(-0.496433\pi\) |
0.728920 | + | 0.684599i | \(0.240023\pi\) | |||||||
\(830\) | 6.79178 | − | 0.273699i | 0.235746 | − | 0.00950025i | ||||
\(831\) | 1.65411 | − | 13.6229i | 0.0573806 | − | 0.472572i | ||||
\(832\) | 1.35990 | + | 10.8056i | 0.0471459 | + | 0.374618i | ||||
\(833\) | −0.607113 | − | 5.00003i | −0.0210352 | − | 0.173241i | ||||
\(834\) | −1.38119 | − | 8.49878i | −0.0478266 | − | 0.294289i | ||||
\(835\) | 2.24234 | + | 1.41797i | 0.0775994 | + | 0.0490709i | ||||
\(836\) | 0.268067 | + | 0.0435651i | 0.00927128 | + | 0.00150673i | ||||
\(837\) | −10.1043 | + | 19.2521i | −0.349255 | + | 0.665450i | ||||
\(838\) | −6.89846 | − | 10.9090i | −0.238303 | − | 0.376847i | ||||
\(839\) | 8.92314 | + | 8.57079i | 0.308061 | + | 0.295897i | 0.830771 | − | 0.556614i | \(-0.187900\pi\) |
−0.522710 | + | 0.852510i | \(0.675079\pi\) | |||||||
\(840\) | 4.55909 | − | 0.553574i | 0.157304 | − | 0.0191001i | ||||
\(841\) | 4.21240 | + | 20.6337i | 0.145255 | + | 0.711507i | ||||
\(842\) | −4.07338 | − | 0.328837i | −0.140378 | − | 0.0113325i | ||||
\(843\) | −10.8711 | − | 8.87599i | −0.374421 | − | 0.305705i | ||||
\(844\) | −9.63734 | −0.331731 | ||||||||
\(845\) | −8.70516 | − | 9.65506i | −0.299467 | − | 0.332144i | ||||
\(846\) | −1.85296 | −0.0637060 | ||||||||
\(847\) | −23.9467 | − | 19.5519i | −0.822818 | − | 0.671810i | ||||
\(848\) | −27.5252 | − | 2.22207i | −0.945221 | − | 0.0763061i | ||||
\(849\) | 2.07899 | + | 10.1836i | 0.0713509 | + | 0.349500i | ||||
\(850\) | −2.55228 | + | 0.309903i | −0.0875425 | + | 0.0106296i | ||||
\(851\) | 45.0393 | + | 43.2608i | 1.54393 | + | 1.48296i | ||||
\(852\) | 8.74838 | + | 13.8345i | 0.299715 | + | 0.473961i | ||||
\(853\) | 19.6609 | − | 37.4607i | 0.673176 | − | 1.28263i | −0.273943 | − | 0.961746i | \(-0.588328\pi\) |
0.947119 | − | 0.320884i | \(-0.103980\pi\) | |||||||
\(854\) | −9.63693 | − | 1.56615i | −0.329769 | − | 0.0535927i | ||||
\(855\) | −1.73049 | − | 1.09430i | −0.0591816 | − | 0.0374242i | ||||
\(856\) | −3.40985 | − | 20.9816i | −0.116546 | − | 0.717137i | ||||
\(857\) | 4.20181 | + | 34.6051i | 0.143531 | + | 1.18209i | 0.869349 | + | 0.494199i | \(0.164539\pi\) |
−0.725818 | + | 0.687887i | \(0.758538\pi\) | |||||||
\(858\) | 0.225121 | − | 0.119408i | 0.00768551 | − | 0.00407652i | ||||
\(859\) | −3.65434 | + | 30.0962i | −0.124684 | + | 1.02687i | 0.787279 | + | 0.616597i | \(0.211489\pi\) |
−0.911964 | + | 0.410271i | \(0.865434\pi\) | |||||||
\(860\) | 21.1676 | − | 0.853023i | 0.721808 | − | 0.0290879i | ||||
\(861\) | −3.22630 | + | 1.37460i | −0.109952 | + | 0.0468462i | ||||
\(862\) | 4.80881 | − | 3.04091i | 0.163789 | − | 0.103574i | ||||
\(863\) | −12.5435 | − | 14.1586i | −0.426984 | − | 0.481965i | 0.495166 | − | 0.868799i | \(-0.335107\pi\) |
−0.922150 | + | 0.386833i | \(0.873569\pi\) | |||||||
\(864\) | 19.8345 | + | 11.4515i | 0.674783 | + | 0.389586i | ||||
\(865\) | −3.92021 | − | 11.7425i | −0.133291 | − | 0.399256i | ||||
\(866\) | 0.142934 | + | 0.272338i | 0.00485710 | + | 0.00925443i | ||||
\(867\) | 5.37364 | − | 9.30741i | 0.182498 | − | 0.316096i | ||||
\(868\) | 11.5810 | + | 20.0588i | 0.393083 | + | 0.680840i | ||||
\(869\) | 0.797061 | − | 1.26045i | 0.0270385 | − | 0.0427579i | ||||
\(870\) | 1.18268 | − | 0.291506i | 0.0400968 | − | 0.00988297i | ||||
\(871\) | 31.1632 | + | 25.2182i | 1.05592 | + | 0.854486i | ||||
\(872\) | −4.55475 | − | 1.12265i | −0.154243 | − | 0.0380176i | ||||
\(873\) | 11.7729 | − | 11.3080i | 0.398453 | − | 0.382719i | ||||
\(874\) | −1.70028 | + | 2.08247i | −0.0575129 | + | 0.0704405i | ||||
\(875\) | 2.25225 | + | 1.69246i | 0.0761400 | + | 0.0572155i | ||||
\(876\) | 3.00451 | − | 12.1898i | 0.101513 | − | 0.411854i | ||||
\(877\) | 48.2736 | + | 13.9826i | 1.63009 | + | 0.472160i | 0.962254 | − | 0.272153i | \(-0.0877357\pi\) |
0.667831 | + | 0.744313i | \(0.267223\pi\) | |||||||
\(878\) | −0.0198754 | − | 0.246201i | −0.000670762 | − | 0.00830887i | ||||
\(879\) | 11.3266 | + | 1.37529i | 0.382036 | + | 0.0463875i | ||||
\(880\) | −0.277094 | − | 0.339379i | −0.00934085 | − | 0.0114405i | ||||
\(881\) | 0.833132 | + | 20.6740i | 0.0280689 | + | 0.696524i | 0.950567 | + | 0.310521i | \(0.100503\pi\) |
−0.922498 | + | 0.386003i | \(0.873855\pi\) | |||||||
\(882\) | 0.939926 | − | 0.272253i | 0.0316489 | − | 0.00916723i | ||||
\(883\) | −9.20875 | − | 24.2815i | −0.309899 | − | 0.817137i | −0.995977 | − | 0.0896087i | \(-0.971438\pi\) |
0.686078 | − | 0.727528i | \(-0.259331\pi\) | |||||||
\(884\) | 9.69406 | + | 32.9296i | 0.326047 | + | 1.10754i | ||||
\(885\) | −2.42828 | + | 6.40284i | −0.0816256 | + | 0.215229i | ||||
\(886\) | 1.33596 | − | 16.5489i | 0.0448826 | − | 0.555970i | ||||
\(887\) | 2.52498 | − | 12.3682i | 0.0847806 | − | 0.415283i | −0.915145 | − | 0.403124i | \(-0.867924\pi\) |
0.999926 | − | 0.0121592i | \(-0.00387049\pi\) | |||||||
\(888\) | −4.72569 | + | 16.3150i | −0.158584 | + | 0.547494i | ||||
\(889\) | −2.45225 | + | 0.930017i | −0.0822460 | + | 0.0311918i | ||||
\(890\) | −5.73595 | − | 0.231151i | −0.192270 | − | 0.00774820i | ||||
\(891\) | 0.0607627 | − | 0.373888i | 0.00203563 | − | 0.0125257i | ||||
\(892\) | 24.3541 | − | 27.4901i | 0.815437 | − | 0.920438i | ||||
\(893\) | −1.57831 | + | 0.526917i | −0.0528161 | + | 0.0176326i | ||||
\(894\) | −0.727177 | + | 1.53249i | −0.0243205 | + | 0.0512543i | ||||
\(895\) | 9.30973 | + | 4.41752i | 0.311190 | + | 0.147662i | ||||
\(896\) | 27.9979 | − | 14.6945i | 0.935346 | − | 0.490907i | ||||
\(897\) | 0.701234 | − | 19.5166i | 0.0234135 | − | 0.651639i | ||||
\(898\) | −6.71204 | − | 3.52275i | −0.223984 | − | 0.117556i | ||||
\(899\) | 7.85764 | + | 10.4566i | 0.262067 | + | 0.348748i | ||||
\(900\) | 1.07589 | + | 3.71441i | 0.0358631 | + | 0.123814i | ||||
\(901\) | −55.2139 | + | 4.45733i | −1.83944 | + | 0.148495i | ||||
\(902\) | −0.0886552 | − | 0.0611943i | −0.00295189 | − | 0.00203755i | ||||
\(903\) | −29.8364 | + | 6.09114i | −0.992892 | + | 0.202700i | ||||
\(904\) | −14.1431 | + | 33.1951i | −0.470392 | + | 1.10405i | ||||
\(905\) | 4.01080 | + | 16.2724i | 0.133323 | + | 0.540914i | ||||
\(906\) | 0.151365 | − | 3.75608i | 0.00502876 | − | 0.124787i | ||||
\(907\) | −35.2176 | + | 26.4643i | −1.16938 | + | 0.878732i | −0.994384 | − | 0.105837i | \(-0.966248\pi\) |
−0.174997 | + | 0.984569i | \(0.555992\pi\) | |||||||
\(908\) | 7.07195 | + | 16.5985i | 0.234691 | + | 0.550840i | ||||
\(909\) | 15.0938 | + | 21.8671i | 0.500630 | + | 0.725287i | ||||
\(910\) | −2.23914 | + | 4.31193i | −0.0742269 | + | 0.142939i | ||||
\(911\) | 10.6917 | − | 15.4896i | 0.354233 | − | 0.513195i | −0.604843 | − | 0.796345i | \(-0.706764\pi\) |
0.959076 | + | 0.283150i | \(0.0913795\pi\) | |||||||
\(912\) | 2.22505 | + | 0.454248i | 0.0736788 | + | 0.0150416i | ||||
\(913\) | 1.60958 | + | 1.67575i | 0.0532693 | + | 0.0554592i | ||||
\(914\) | −4.95251 | − | 10.4372i | −0.163815 | − | 0.345232i | ||||
\(915\) | 6.54766i | 0.216459i | ||||||||
\(916\) | 12.3823 | − | 5.87545i | 0.409121 | − | 0.194130i | ||||
\(917\) | 5.32709 | − | 7.08907i | 0.175916 | − | 0.234102i | ||||
\(918\) | 11.2606 | + | 4.27060i | 0.371656 | + | 0.140951i | ||||
\(919\) | −28.5095 | − | 12.1468i | −0.940443 | − | 0.400685i | −0.133323 | − | 0.991073i | \(-0.542565\pi\) |
−0.807120 | + | 0.590387i | \(0.798975\pi\) | |||||||
\(920\) | 10.6713 | − | 1.73425i | 0.351822 | − | 0.0571766i | ||||
\(921\) | 2.75529 | − | 8.25310i | 0.0907899 | − | 0.271949i | ||||
\(922\) | 2.47016 | − | 2.18837i | 0.0813505 | − | 0.0720703i | ||||
\(923\) | −36.8466 | − | 1.32391i | −1.21282 | − | 0.0435769i | ||||
\(924\) | 0.551900 | + | 0.488940i | 0.0181562 | + | 0.0160850i | ||||
\(925\) | −9.02369 | + | 5.20983i | −0.296697 | + | 0.171298i | ||||
\(926\) | 4.75268 | + | 1.58668i | 0.156183 | + | 0.0521414i | ||||
\(927\) | −27.3349 | + | 28.4586i | −0.897795 | + | 0.934704i | ||||
\(928\) | 11.3390 | − | 7.82674i | 0.372220 | − | 0.256925i | ||||
\(929\) | 1.77135 | − | 1.44626i | 0.0581162 | − | 0.0474504i | −0.602942 | − | 0.797785i | \(-0.706005\pi\) |
0.661058 | + | 0.750335i | \(0.270108\pi\) | |||||||
\(930\) | −1.55418 | + | 1.26895i | −0.0509635 | + | 0.0416104i | ||||
\(931\) | 0.723190 | − | 0.499182i | 0.0237016 | − | 0.0163600i | ||||
\(932\) | 34.5329 | − | 35.9526i | 1.13116 | − | 1.17767i | ||||
\(933\) | 11.3185 | + | 3.77866i | 0.370550 | + | 0.123708i | ||||
\(934\) | −2.05234 | + | 1.18492i | −0.0671547 | + | 0.0387718i | ||||
\(935\) | −0.657840 | − | 0.582795i | −0.0215137 | − | 0.0190594i | ||||
\(936\) | −12.8021 | + | 6.14324i | −0.418450 | + | 0.200798i | ||||
\(937\) | −23.7681 | + | 21.0567i | −0.776470 | + | 0.687893i | −0.955185 | − | 0.296008i | \(-0.904344\pi\) |
0.178715 | + | 0.983901i | \(0.442806\pi\) | |||||||
\(938\) | 4.74459 | − | 14.2118i | 0.154916 | − | 0.464031i | ||||
\(939\) | −22.6930 | + | 3.68797i | −0.740558 | + | 0.120352i | ||||
\(940\) | 2.89125 | + | 1.23185i | 0.0943021 | + | 0.0401784i | ||||
\(941\) | −11.9933 | − | 4.54846i | −0.390971 | − | 0.148276i | 0.151283 | − | 0.988491i | \(-0.451660\pi\) |
−0.542254 | + | 0.840215i | \(0.682429\pi\) | |||||||
\(942\) | 0.632294 | − | 0.841430i | 0.0206012 | − | 0.0274153i | ||||
\(943\) | −7.45851 | + | 3.53911i | −0.242882 | + | 0.115249i | ||||
\(944\) | 20.3047i | 0.660861i | ||||||||
\(945\) | −5.65735 | − | 11.9226i | −0.184033 | − | 0.387842i | ||||
\(946\) | −0.647976 | − | 0.674614i | −0.0210675 | − | 0.0219336i | ||||
\(947\) | 13.9580 | + | 2.84954i | 0.453573 | + | 0.0925975i | 0.421380 | − | 0.906884i | \(-0.361546\pi\) |
0.0321927 | + | 0.999482i | \(0.489751\pi\) | |||||||
\(948\) | 8.29355 | − | 12.0153i | 0.269362 | − | 0.390238i | ||||
\(949\) | 18.8449 | + | 21.0855i | 0.611733 | + | 0.684465i | ||||
\(950\) | −0.254809 | − | 0.369155i | −0.00826710 | − | 0.0119770i | ||||
\(951\) | −5.64715 | − | 13.2543i | −0.183121 | − | 0.429802i | ||||
\(952\) | 21.8376 | − | 16.4099i | 0.707760 | − | 0.531847i | ||||
\(953\) | −0.222649 | + | 5.52498i | −0.00721232 | + | 0.178972i | 0.991568 | + | 0.129590i | \(0.0413661\pi\) |
−0.998780 | + | 0.0493818i | \(0.984275\pi\) | |||||||
\(954\) | −2.57554 | − | 10.4494i | −0.0833861 | − | 0.338311i | ||||
\(955\) | −4.25924 | + | 9.99681i | −0.137826 | + | 0.323489i | ||||
\(956\) | 49.4283 | − | 10.0909i | 1.59862 | − | 0.326362i | ||||
\(957\) | 0.342675 | + | 0.236532i | 0.0110771 | + | 0.00764598i | ||||
\(958\) | −11.0965 | + | 0.895804i | −0.358512 | + | 0.0289421i | ||||
\(959\) | −12.3181 | − | 42.5271i | −0.397773 | − | 1.37327i | ||||
\(960\) | −1.63987 | − | 2.18227i | −0.0529266 | − | 0.0704325i | ||||
\(961\) | 8.37191 | + | 4.39392i | 0.270062 | + | 0.141739i | ||||
\(962\) | −11.4254 | − | 13.8697i | −0.368371 | − | 0.447177i | ||||
\(963\) | −22.7816 | + | 11.9567i | −0.734127 | + | 0.385300i | ||||
\(964\) | 2.48551 | + | 1.17939i | 0.0800530 | + | 0.0379856i | ||||
\(965\) | −3.59756 | + | 7.58169i | −0.115809 | + | 0.244063i | ||||
\(966\) | −6.92325 | + | 2.31132i | −0.222752 | + | 0.0743656i | ||||
\(967\) | 18.9330 | − | 21.3709i | 0.608843 | − | 0.687242i | −0.360554 | − | 0.932738i | \(-0.617412\pi\) |
0.969398 | + | 0.245496i | \(0.0789509\pi\) | |||||||
\(968\) | 3.17517 | − | 19.5376i | 0.102054 | − | 0.627963i | ||||
\(969\) | 4.55168 | + | 0.183426i | 0.146221 | + | 0.00589251i | ||||
\(970\) | 3.34385 | − | 1.26816i | 0.107365 | − | 0.0407180i | ||||
\(971\) | −3.27222 | + | 11.2970i | −0.105011 | + | 0.362538i | −0.995764 | − | 0.0919489i | \(-0.970690\pi\) |
0.890753 | + | 0.454487i | \(0.150178\pi\) | |||||||
\(972\) | 5.72045 | − | 28.0206i | 0.183483 | − | 0.898761i | ||||
\(973\) | −4.51561 | + | 55.9358i | −0.144764 | + | 1.79322i | ||||
\(974\) | 1.44918 | − | 3.82117i | 0.0464347 | − | 0.122438i | ||||
\(975\) | 3.09517 | + | 1.01834i | 0.0991248 | + | 0.0326128i | ||||
\(976\) | 6.88452 | + | 18.1530i | 0.220368 | + | 0.581063i | ||||
\(977\) | 33.6109 | − | 9.73552i | 1.07531 | − | 0.311467i | 0.307107 | − | 0.951675i | \(-0.400639\pi\) |
0.768202 | + | 0.640208i | \(0.221152\pi\) | |||||||
\(978\) | 0.100965 | + | 2.50541i | 0.00322849 | + | 0.0801142i | ||||
\(979\) | −1.24107 | − | 1.52004i | −0.0396648 | − | 0.0485806i | ||||
\(980\) | −1.64760 | − | 0.200055i | −0.0526307 | − | 0.00639052i | ||||
\(981\) | 0.456882 | + | 5.65950i | 0.0145871 | + | 0.180694i | ||||
\(982\) | 7.05991 | + | 2.04493i | 0.225291 | + | 0.0652563i | ||||
\(983\) | 8.96850 | − | 36.3866i | 0.286051 | − | 1.16055i | −0.635439 | − | 0.772151i | \(-0.719181\pi\) |
0.921490 | − | 0.388402i | \(-0.126973\pi\) | |||||||
\(984\) | −1.79507 | − | 1.34891i | −0.0572247 | − | 0.0430016i | ||||
\(985\) | 3.87912 | − | 4.75106i | 0.123599 | − | 0.151381i | ||||
\(986\) | 5.22509 | − | 5.01876i | 0.166401 | − | 0.159830i | ||||
\(987\) | −4.38622 | − | 1.08110i | −0.139615 | − | 0.0344120i | ||||
\(988\) | −4.30105 | + | 4.16743i | −0.136835 | + | 0.132584i | ||||
\(989\) | −69.6027 | + | 17.1555i | −2.21324 | + | 0.545514i | ||||
\(990\) | 0.0912598 | − | 0.144316i | 0.00290043 | − | 0.00458666i | ||||
\(991\) | −9.09294 | − | 15.7494i | −0.288847 | − | 0.500297i | 0.684688 | − | 0.728836i | \(-0.259939\pi\) |
−0.973535 | + | 0.228539i | \(0.926605\pi\) | |||||||
\(992\) | −11.3474 | + | 19.6543i | −0.360281 | + | 0.624025i | ||||
\(993\) | 2.48704 | + | 4.73865i | 0.0789237 | + | 0.150377i | ||||
\(994\) | 4.36370 | + | 13.0709i | 0.138408 | + | 0.414583i | ||||
\(995\) | 19.5122 | + | 11.2654i | 0.618577 | + | 0.357136i | ||||
\(996\) | 15.0840 | + | 17.0263i | 0.477955 | + | 0.539500i | ||||
\(997\) | 35.0048 | − | 22.1357i | 1.10861 | − | 0.701045i | 0.150837 | − | 0.988559i | \(-0.451803\pi\) |
0.957776 | + | 0.287514i | \(0.0928288\pi\) | |||||||
\(998\) | 4.41523 | − | 1.88115i | 0.139762 | − | 0.0595469i | ||||
\(999\) | 48.7684 | − | 1.96530i | 1.54296 | − | 0.0621793i |
(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 | 845.2.bg.a.621.35 | yes | 1440 | |
169.43 | even | 78 | inner | 845.2.bg.a.381.35 | ✓ | 1440 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
845.2.bg.a.381.35 | ✓ | 1440 | 169.43 | even | 78 | inner | |
845.2.bg.a.621.35 | yes | 1440 | 1.1 | even | 1 | trivial |