Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(28,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([44]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.g (of order \(27\), degree \(18\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | no (minimal twist has level 81) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 109.1 | ||
Character | \(\chi\) | \(=\) | 729.109 |
Dual form | 729.2.g.b.622.1 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{27}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.82254 | − | 1.93178i | −1.28873 | − | 1.36597i | −0.894569 | − | 0.446930i | \(-0.852517\pi\) |
−0.394159 | − | 0.919042i | \(-0.628964\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.293829 | + | 5.04485i | −0.146914 | + | 2.52242i | ||||
\(5\) | −2.82892 | + | 0.330653i | −1.26513 | + | 0.147872i | −0.722069 | − | 0.691821i | \(-0.756809\pi\) |
−0.543061 | + | 0.839693i | \(0.682735\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.70942 | + | 0.858501i | 0.646099 | + | 0.324483i | 0.741497 | − | 0.670956i | \(-0.234116\pi\) |
−0.0953983 | + | 0.995439i | \(0.530412\pi\) | |||||||
\(8\) | 6.21207 | − | 5.21255i | 2.19630 | − | 1.84291i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 5.79455 | + | 4.86220i | 1.83240 | + | 1.53756i | ||||
\(11\) | 0.733735 | + | 1.70099i | 0.221229 | + | 0.512867i | 0.992296 | − | 0.123887i | \(-0.0395359\pi\) |
−0.771067 | + | 0.636754i | \(0.780277\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.131251 | − | 0.0311070i | −0.0364024 | − | 0.00862753i | 0.212374 | − | 0.977188i | \(-0.431880\pi\) |
−0.248777 | + | 0.968561i | \(0.580029\pi\) | |||||||
\(14\) | −1.45704 | − | 4.86686i | −0.389411 | − | 1.30072i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −11.3528 | − | 1.32695i | −2.83819 | − | 0.331737i | ||||
\(17\) | −0.193799 | + | 1.09909i | −0.0470031 | + | 0.266568i | −0.999248 | − | 0.0387665i | \(-0.987657\pi\) |
0.952245 | + | 0.305334i | \(0.0987683\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.05411 | − | 5.97816i | −0.241830 | − | 1.37148i | −0.827741 | − | 0.561110i | \(-0.810375\pi\) |
0.585912 | − | 0.810375i | \(-0.300737\pi\) | |||||||
\(20\) | −0.836876 | − | 14.3686i | −0.187131 | − | 3.21292i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.94867 | − | 4.51753i | 0.415458 | − | 0.963140i | ||||
\(23\) | −0.416930 | + | 0.209390i | −0.0869360 | + | 0.0436609i | −0.491736 | − | 0.870744i | \(-0.663637\pi\) |
0.404800 | + | 0.914405i | \(0.367341\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.02821 | − | 0.717699i | 0.605642 | − | 0.143540i | ||||
\(26\) | 0.179118 | + | 0.310241i | 0.0351279 | + | 0.0608432i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −4.83328 | + | 8.37149i | −0.913405 | + | 1.58206i | ||||
\(29\) | 0.125753 | − | 0.420043i | 0.0233517 | − | 0.0780001i | −0.945519 | − | 0.325566i | \(-0.894445\pi\) |
0.968871 | + | 0.247565i | \(0.0796305\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.36480 | − | 1.55535i | −0.424730 | − | 0.279350i | 0.319096 | − | 0.947722i | \(-0.396621\pi\) |
−0.743826 | + | 0.668373i | \(0.766991\pi\) | |||||||
\(32\) | 8.44238 | + | 11.3401i | 1.49242 | + | 2.00466i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.47640 | − | 1.62875i | 0.424699 | − | 0.279329i | ||||
\(35\) | −5.11966 | − | 1.86340i | −0.865381 | − | 0.314973i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −7.77306 | + | 2.82916i | −1.27788 | + | 0.465112i | −0.889732 | − | 0.456484i | \(-0.849109\pi\) |
−0.388152 | + | 0.921595i | \(0.626886\pi\) | |||||||
\(38\) | −9.62732 | + | 12.9317i | −1.56176 | + | 2.09780i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −15.8499 | + | 16.7999i | −2.50609 | + | 2.65630i | ||||
\(41\) | 3.81865 | − | 4.04753i | 0.596373 | − | 0.632118i | −0.356931 | − | 0.934131i | \(-0.616177\pi\) |
0.953304 | + | 0.302012i | \(0.0976584\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.47917 | + | 6.01657i | −0.683068 | + | 0.917519i | −0.999517 | − | 0.0310906i | \(-0.990102\pi\) |
0.316449 | + | 0.948610i | \(0.397509\pi\) | |||||||
\(44\) | −8.79682 | + | 3.20178i | −1.32617 | + | 0.482687i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.16437 | + | 0.423795i | 0.171676 | + | 0.0624851i | ||||
\(47\) | −7.12769 | + | 4.68795i | −1.03968 | + | 0.683808i | −0.950028 | − | 0.312165i | \(-0.898946\pi\) |
−0.0896522 | + | 0.995973i | \(0.528576\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.99503 | − | 2.67979i | −0.285004 | − | 0.382827i | ||||
\(50\) | −6.90546 | − | 4.54179i | −0.976579 | − | 0.642306i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.195495 | − | 0.653000i | 0.0271103 | − | 0.0905549i | ||||
\(53\) | 2.94278 | − | 5.09704i | 0.404222 | − | 0.700133i | −0.590009 | − | 0.807397i | \(-0.700876\pi\) |
0.994231 | + | 0.107264i | \(0.0342090\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.63811 | − | 4.56934i | −0.355723 | − | 0.616130i | ||||
\(56\) | 15.0940 | − | 3.57734i | 2.01702 | − | 0.478043i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.04062 | + | 0.522618i | −0.136640 | + | 0.0686231i | ||||
\(59\) | −5.58328 | + | 12.9435i | −0.726881 | + | 1.68510i | 0.00156855 | + | 0.999999i | \(0.499501\pi\) |
−0.728449 | + | 0.685100i | \(0.759759\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.446598 | − | 7.66779i | −0.0571810 | − | 0.981759i | −0.897875 | − | 0.440250i | \(-0.854890\pi\) |
0.840694 | − | 0.541510i | \(-0.182147\pi\) | |||||||
\(62\) | 1.30534 | + | 7.40295i | 0.165778 | + | 0.940175i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 2.55035 | − | 14.4637i | 0.318793 | − | 1.80797i | ||||
\(65\) | 0.381583 | + | 0.0446007i | 0.0473296 | + | 0.00553203i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.24125 | − | 10.8265i | −0.395981 | − | 1.32267i | −0.891085 | − | 0.453836i | \(-0.850055\pi\) |
0.495104 | − | 0.868834i | \(-0.335130\pi\) | |||||||
\(68\) | −5.48779 | − | 1.30063i | −0.665492 | − | 0.157725i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 5.73109 | + | 13.2862i | 0.684996 | + | 1.58800i | ||||
\(71\) | −0.604067 | − | 0.506872i | −0.0716895 | − | 0.0601547i | 0.606239 | − | 0.795283i | \(-0.292678\pi\) |
−0.677928 | + | 0.735128i | \(0.737122\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.76505 | + | 2.32015i | −0.323625 | + | 0.271553i | −0.790096 | − | 0.612983i | \(-0.789969\pi\) |
0.466472 | + | 0.884536i | \(0.345525\pi\) | |||||||
\(74\) | 19.6320 | + | 9.85956i | 2.28217 | + | 1.14615i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 30.4687 | − | 3.56128i | 3.49499 | − | 0.408506i | ||||
\(77\) | −0.206042 | + | 3.53761i | −0.0234807 | + | 0.403148i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.76989 | + | 9.29554i | 0.986690 | + | 1.04583i | 0.998946 | + | 0.0459050i | \(0.0146172\pi\) |
−0.0122562 | + | 0.999925i | \(0.503901\pi\) | |||||||
\(80\) | 32.5547 | 3.63973 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −14.7786 | −1.63202 | ||||||||
\(83\) | −11.4722 | − | 12.1598i | −1.25924 | − | 1.33472i | −0.918940 | − | 0.394398i | \(-0.870953\pi\) |
−0.340299 | − | 0.940317i | \(-0.610528\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.184824 | − | 3.17331i | 0.0200470 | − | 0.344194i | ||||
\(86\) | 19.7861 | − | 2.31267i | 2.13359 | − | 0.249381i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 13.4245 | + | 6.74204i | 1.43106 | + | 0.718704i | ||||
\(89\) | −8.34578 | + | 7.00294i | −0.884651 | + | 0.742311i | −0.967130 | − | 0.254282i | \(-0.918161\pi\) |
0.0824788 | + | 0.996593i | \(0.473716\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.197657 | − | 0.165854i | −0.0207201 | − | 0.0173862i | ||||
\(92\) | −0.933836 | − | 2.16488i | −0.0973592 | − | 0.225704i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 22.0466 | + | 5.22513i | 2.27393 | + | 0.538931i | ||||
\(95\) | 4.95869 | + | 16.5632i | 0.508751 | + | 1.69935i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.28615 | − | 0.267213i | −0.232124 | − | 0.0271313i | −0.000764163 | − | 1.00000i | \(-0.500243\pi\) |
−0.231359 | + | 0.972868i | \(0.574317\pi\) | |||||||
\(98\) | −1.54074 | + | 8.73797i | −0.155638 | + | 0.882668i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.73091 | + | 15.4877i | 0.273091 | + | 1.54877i | ||||
\(101\) | −0.500707 | − | 8.59680i | −0.0498222 | − | 0.855414i | −0.926957 | − | 0.375169i | \(-0.877585\pi\) |
0.877134 | − | 0.480245i | \(-0.159452\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.18205 | + | 7.37683i | −0.313537 | + | 0.726861i | −1.00000 | 0.000304198i | \(-0.999903\pi\) | |
0.686463 | + | 0.727165i | \(0.259162\pi\) | |||||||
\(104\) | −0.977487 | + | 0.490912i | −0.0958505 | + | 0.0481379i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −15.2097 | + | 3.60476i | −1.47729 | + | 0.350125i | ||||
\(107\) | −2.09736 | − | 3.63274i | −0.202760 | − | 0.351190i | 0.746657 | − | 0.665209i | \(-0.231658\pi\) |
−0.949417 | + | 0.314019i | \(0.898324\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.69325 | + | 9.86099i | −0.545314 | + | 0.944512i | 0.453273 | + | 0.891372i | \(0.350256\pi\) |
−0.998587 | + | 0.0531401i | \(0.983077\pi\) | |||||||
\(110\) | −4.01889 | + | 13.4240i | −0.383186 | + | 1.27993i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −18.2674 | − | 12.0147i | −1.72611 | − | 1.13528i | ||||
\(113\) | −8.38939 | − | 11.2689i | −0.789207 | − | 1.06009i | −0.996645 | − | 0.0818411i | \(-0.973920\pi\) |
0.207438 | − | 0.978248i | \(-0.433487\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.11023 | − | 0.730207i | 0.103529 | − | 0.0680921i | ||||
\(116\) | 2.08211 | + | 0.757824i | 0.193319 | + | 0.0703622i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 35.1796 | − | 12.8043i | 3.23855 | − | 1.17874i | ||||
\(119\) | −1.27485 | + | 1.71242i | −0.116865 | + | 0.156977i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.19366 | − | 5.50496i | 0.472151 | − | 0.500451i | ||||
\(122\) | −13.9985 | + | 14.8375i | −1.26736 | + | 1.34333i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 8.54136 | − | 11.4730i | 0.767037 | − | 1.03031i | ||||
\(125\) | 5.05280 | − | 1.83907i | 0.451936 | − | 0.164491i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.95520 | + | 2.53149i | 0.617174 | + | 0.224633i | 0.631639 | − | 0.775262i | \(-0.282382\pi\) |
−0.0144652 | + | 0.999895i | \(0.504605\pi\) | |||||||
\(128\) | −8.96524 | + | 5.89653i | −0.792423 | + | 0.521185i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.609291 | − | 0.818420i | −0.0534383 | − | 0.0717801i | ||||
\(131\) | −6.01389 | − | 3.95540i | −0.525436 | − | 0.345584i | 0.258917 | − | 0.965900i | \(-0.416634\pi\) |
−0.784353 | + | 0.620315i | \(0.787005\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.33034 | − | 11.1241i | 0.288777 | − | 0.964584i | ||||
\(134\) | −15.0071 | + | 25.9931i | −1.29642 | + | 2.24546i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.52516 | + | 7.83780i | 0.388029 | + | 0.672086i | ||||
\(137\) | −13.7898 | + | 3.26824i | −1.17814 | + | 0.279225i | −0.772625 | − | 0.634863i | \(-0.781057\pi\) |
−0.405517 | + | 0.914087i | \(0.632909\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 12.2693 | − | 6.16188i | 1.04067 | − | 0.522644i | 0.155462 | − | 0.987842i | \(-0.450313\pi\) |
0.885207 | + | 0.465198i | \(0.154017\pi\) | |||||||
\(140\) | 10.9049 | − | 25.2804i | 0.921632 | − | 2.13658i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.121770 | + | 2.09071i | 0.0102187 | + | 0.175449i | ||||
\(143\) | −0.0433906 | − | 0.246080i | −0.00362851 | − | 0.0205783i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.216855 | + | 1.22985i | −0.0180089 | + | 0.102133i | ||||
\(146\) | 9.52142 | + | 1.11289i | 0.787998 | + | 0.0921038i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −11.9887 | − | 40.0452i | −0.985469 | − | 3.29170i | ||||
\(149\) | −1.99438 | − | 0.472677i | −0.163386 | − | 0.0387232i | 0.148109 | − | 0.988971i | \(-0.452681\pi\) |
−0.311495 | + | 0.950248i | \(0.600830\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.85826 | − | 11.2627i | −0.395360 | − | 0.916547i | −0.993360 | − | 0.115051i | \(-0.963297\pi\) |
0.598000 | − | 0.801496i | \(-0.295962\pi\) | |||||||
\(152\) | −37.7097 | − | 31.6422i | −3.05866 | − | 2.56652i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 7.20939 | − | 6.04940i | 0.580949 | − | 0.487474i | ||||
\(155\) | 7.20410 | + | 3.61803i | 0.578647 | + | 0.290607i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −22.6120 | + | 2.64296i | −1.80463 | + | 0.210931i | −0.950840 | − | 0.309683i | \(-0.899777\pi\) |
−0.853792 | + | 0.520615i | \(0.825703\pi\) | |||||||
\(158\) | 1.97346 | − | 33.8829i | 0.157000 | − | 2.69558i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −27.6324 | − | 29.2887i | −2.18453 | − | 2.31547i | ||||
\(161\) | −0.892470 | −0.0703365 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −11.4061 | −0.893393 | −0.446697 | − | 0.894685i | \(-0.647400\pi\) | ||||
−0.446697 | + | 0.894685i | \(0.647400\pi\) | |||||||
\(164\) | 19.2972 | + | 20.4538i | 1.50685 | + | 1.59717i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.58155 | + | 44.3235i | −0.200367 | + | 3.44017i | ||||
\(167\) | −5.33283 | + | 0.623319i | −0.412667 | + | 0.0482338i | −0.319894 | − | 0.947453i | \(-0.603647\pi\) |
−0.0927732 | + | 0.995687i | \(0.529573\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.6010 | − | 5.82622i | −0.892382 | − | 0.448171i | ||||
\(170\) | −6.46697 | + | 5.42643i | −0.495994 | + | 0.416188i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −29.0366 | − | 24.3646i | −2.21402 | − | 1.85778i | ||||
\(173\) | 1.35044 | + | 3.13068i | 0.102672 | + | 0.238021i | 0.961807 | − | 0.273728i | \(-0.0882569\pi\) |
−0.859135 | + | 0.511749i | \(0.828998\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.79262 | + | 1.37288i | 0.437881 | + | 0.103780i | ||||
\(176\) | −6.07279 | − | 20.2845i | −0.457754 | − | 1.52900i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 28.7386 | + | 3.35906i | 2.15405 | + | 0.251772i | ||||
\(179\) | 1.16699 | − | 6.61830i | 0.0872246 | − | 0.494675i | −0.909630 | − | 0.415420i | \(-0.863635\pi\) |
0.996854 | − | 0.0792553i | \(-0.0252542\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.341126 | + | 1.93462i | 0.0253557 | + | 0.143799i | 0.994857 | − | 0.101285i | \(-0.0322954\pi\) |
−0.969502 | + | 0.245084i | \(0.921184\pi\) | |||||||
\(182\) | 0.0398445 | + | 0.684104i | 0.00295347 | + | 0.0507091i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.49855 | + | 3.47402i | −0.110474 | + | 0.256108i | ||||
\(185\) | 21.0539 | − | 10.5736i | 1.54791 | − | 0.777390i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.01173 | + | 0.476790i | −0.147112 | + | 0.0348663i | ||||
\(188\) | −21.5557 | − | 37.3356i | −1.57211 | − | 2.72298i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 22.9590 | − | 39.7661i | 1.66562 | − | 2.88493i | ||||
\(191\) | 1.34728 | − | 4.50022i | 0.0974857 | − | 0.325625i | −0.895310 | − | 0.445443i | \(-0.853046\pi\) |
0.992796 | + | 0.119819i | \(0.0382313\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 5.27148 | + | 3.46710i | 0.379449 | + | 0.249568i | 0.724878 | − | 0.688877i | \(-0.241896\pi\) |
−0.345429 | + | 0.938445i | \(0.612267\pi\) | |||||||
\(194\) | 3.65040 | + | 4.90334i | 0.262083 | + | 0.352039i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 14.1053 | − | 9.27723i | 1.00752 | − | 0.662659i | ||||
\(197\) | 10.1410 | + | 3.69101i | 0.722514 | + | 0.262973i | 0.676992 | − | 0.735990i | \(-0.263283\pi\) |
0.0455211 | + | 0.998963i | \(0.485505\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.20899 | + | 0.804005i | −0.156591 | + | 0.0569944i | −0.419126 | − | 0.907928i | \(-0.637664\pi\) |
0.262535 | + | 0.964922i | \(0.415441\pi\) | |||||||
\(200\) | 15.0704 | − | 20.2431i | 1.06564 | − | 1.43140i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −15.6945 | + | 16.6352i | −1.10426 | + | 1.17045i | ||||
\(203\) | 0.575571 | − | 0.610070i | 0.0403972 | − | 0.0428185i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −9.46431 | + | 12.7128i | −0.661016 | + | 0.887899i | ||||
\(206\) | 20.0498 | − | 7.29753i | 1.39694 | − | 0.508443i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.44878 | + | 0.527313i | 0.100455 | + | 0.0365626i | ||||
\(209\) | 9.39535 | − | 6.17942i | 0.649890 | − | 0.427439i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.60517 | − | 8.87228i | −0.454718 | − | 0.610793i | 0.514351 | − | 0.857580i | \(-0.328033\pi\) |
−0.969070 | + | 0.246787i | \(0.920625\pi\) | |||||||
\(212\) | 24.8491 | + | 16.3435i | 1.70665 | + | 1.12248i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.19512 | + | 10.6724i | −0.218414 | + | 0.729553i | ||||
\(215\) | 10.6818 | − | 18.5014i | 0.728493 | − | 1.26179i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.70715 | − | 4.68893i | −0.183774 | − | 0.318305i | ||||
\(218\) | 29.4254 | − | 6.97394i | 1.99294 | − | 0.472335i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 23.8268 | − | 11.9663i | 1.60640 | − | 0.806765i | ||||
\(221\) | 0.0596256 | − | 0.138228i | 0.00401085 | − | 0.00929820i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.235968 | − | 4.05141i | −0.0158016 | − | 0.271302i | −0.996950 | − | 0.0780456i | \(-0.975132\pi\) |
0.981148 | − | 0.193257i | \(-0.0619050\pi\) | |||||||
\(224\) | 4.69607 | + | 26.6327i | 0.313769 | + | 1.77947i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6.47903 | + | 36.7444i | −0.430979 | + | 2.44420i | ||||
\(227\) | −10.7086 | − | 1.25166i | −0.710756 | − | 0.0830755i | −0.246971 | − | 0.969023i | \(-0.579435\pi\) |
−0.463786 | + | 0.885947i | \(0.653509\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.63605 | + | 5.46478i | 0.108113 | + | 0.361123i | 0.994876 | − | 0.101101i | \(-0.0322366\pi\) |
−0.886763 | + | 0.462224i | \(0.847051\pi\) | |||||||
\(230\) | −3.43402 | − | 0.813878i | −0.226433 | − | 0.0536656i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.40831 | − | 3.26483i | −0.0924602 | − | 0.214347i | ||||
\(233\) | 20.2690 | + | 17.0077i | 1.32787 | + | 1.11421i | 0.984571 | + | 0.174987i | \(0.0559882\pi\) |
0.343297 | + | 0.939227i | \(0.388456\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 18.6135 | − | 15.6186i | 1.21421 | − | 1.01885i | ||||
\(236\) | −63.6574 | − | 31.9700i | −4.14374 | − | 2.08107i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 5.63148 | − | 0.658226i | 0.365035 | − | 0.0426664i | ||||
\(239\) | −0.208731 | + | 3.58378i | −0.0135017 | + | 0.231816i | 0.984806 | + | 0.173659i | \(0.0555592\pi\) |
−0.998307 | + | 0.0581562i | \(0.981478\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.82337 | + | 6.17241i | 0.375116 | + | 0.397600i | 0.887237 | − | 0.461313i | \(-0.152622\pi\) |
−0.512121 | + | 0.858913i | \(0.671140\pi\) | |||||||
\(242\) | −20.1000 | −1.29208 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 38.8140 | 2.48481 | ||||||||
\(245\) | 6.52985 | + | 6.92124i | 0.417177 | + | 0.442182i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.0476098 | + | 0.817429i | −0.00302934 | + | 0.0520118i | ||||
\(248\) | −22.7977 | + | 2.66466i | −1.44765 | + | 0.169206i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −12.7616 | − | 6.40911i | −0.807114 | − | 0.405348i | ||||
\(251\) | 3.14926 | − | 2.64255i | 0.198780 | − | 0.166796i | −0.537965 | − | 0.842967i | \(-0.680807\pi\) |
0.736744 | + | 0.676171i | \(0.236362\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.662087 | − | 0.555557i | −0.0416251 | − | 0.0349276i | ||||
\(254\) | −7.78584 | − | 18.0496i | −0.488527 | − | 1.13253i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.851704 | − | 0.201858i | −0.0532315 | − | 0.0126161i | ||||
\(257\) | −1.65693 | − | 5.53454i | −0.103357 | − | 0.345235i | 0.890631 | − | 0.454726i | \(-0.150263\pi\) |
−0.993988 | + | 0.109492i | \(0.965078\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −15.7162 | − | 1.83696i | −0.976559 | − | 0.114143i | ||||
\(260\) | −0.337124 | + | 1.91192i | −0.0209075 | + | 0.118573i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3.31959 | + | 18.8263i | 0.205085 | + | 1.16309i | ||||
\(263\) | 0.836130 | + | 14.3558i | 0.0515580 | + | 0.885216i | 0.920607 | + | 0.390490i | \(0.127695\pi\) |
−0.869049 | + | 0.494726i | \(0.835268\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.63952 | + | 15.3921i | −0.407863 | + | 0.945532i | ||||
\(266\) | −27.5590 | + | 13.8406i | −1.68975 | + | 0.848624i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 55.5705 | − | 13.1705i | 3.39451 | − | 0.804514i | ||||
\(269\) | −4.14565 | − | 7.18047i | −0.252765 | − | 0.437801i | 0.711521 | − | 0.702664i | \(-0.248006\pi\) |
−0.964286 | + | 0.264863i | \(0.914673\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.28409 | − | 7.42026i | 0.260240 | − | 0.450748i | −0.706066 | − | 0.708146i | \(-0.749532\pi\) |
0.966306 | + | 0.257398i | \(0.0828651\pi\) | |||||||
\(272\) | 3.65858 | − | 12.2205i | 0.221834 | − | 0.740977i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 31.4459 | + | 20.6823i | 1.89972 | + | 1.24946i | ||||
\(275\) | 3.44270 | + | 4.62435i | 0.207603 | + | 0.278859i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −25.6364 | + | 16.8613i | −1.54034 | + | 1.01310i | −0.557171 | + | 0.830398i | \(0.688113\pi\) |
−0.983169 | + | 0.182700i | \(0.941516\pi\) | |||||||
\(278\) | −34.2646 | − | 12.4713i | −2.05506 | − | 0.747979i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −41.5168 | + | 15.1109i | −2.48110 | + | 0.903048i | ||||
\(281\) | −2.22640 | + | 2.99057i | −0.132816 | + | 0.178403i | −0.863556 | − | 0.504253i | \(-0.831768\pi\) |
0.730740 | + | 0.682656i | \(0.239175\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.88380 | + | 5.17653i | −0.290312 | + | 0.307713i | −0.856071 | − | 0.516858i | \(-0.827102\pi\) |
0.565759 | + | 0.824570i | \(0.308583\pi\) | |||||||
\(284\) | 2.73459 | − | 2.89849i | 0.162268 | − | 0.171994i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.396291 | + | 0.532312i | −0.0234332 | + | 0.0314762i | ||||
\(287\) | 10.0025 | − | 3.64060i | 0.590427 | − | 0.214898i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 14.8043 | + | 5.38834i | 0.870843 | + | 0.316961i | ||||
\(290\) | 2.77102 | − | 1.82253i | 0.162720 | − | 0.107022i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −10.8924 | − | 14.6310i | −0.637427 | − | 0.856214i | ||||
\(293\) | 7.14612 | + | 4.70008i | 0.417481 | + | 0.274581i | 0.740823 | − | 0.671701i | \(-0.234436\pi\) |
−0.323342 | + | 0.946282i | \(0.604806\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 11.5148 | − | 38.4622i | 0.670419 | − | 2.23935i | ||||
\(296\) | −33.5397 | + | 58.0924i | −1.94945 | + | 3.37655i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.72173 | + | 4.71417i | 0.157665 | + | 0.273085i | ||||
\(299\) | 0.0612360 | − | 0.0145132i | 0.00354137 | − | 0.000839320i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −12.8220 | + | 6.43945i | −0.739048 | + | 0.371164i | ||||
\(302\) | −12.9027 | + | 29.9118i | −0.742466 | + | 1.72123i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 4.03436 | + | 69.2674i | 0.231387 | + | 3.97276i | ||||
\(305\) | 3.79876 | + | 21.5439i | 0.217516 | + | 1.23360i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.00083 | − | 11.3473i | 0.114194 | − | 0.647624i | −0.872953 | − | 0.487805i | \(-0.837798\pi\) |
0.987146 | − | 0.159819i | \(-0.0510911\pi\) | |||||||
\(308\) | −17.7862 | − | 2.07890i | −1.01346 | − | 0.118457i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6.14050 | − | 20.5107i | −0.348757 | − | 1.16493i | ||||
\(311\) | 24.9086 | + | 5.90345i | 1.41244 | + | 0.334754i | 0.864865 | − | 0.502005i | \(-0.167404\pi\) |
0.547572 | + | 0.836759i | \(0.315552\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.597467 | + | 1.38508i | 0.0337708 | + | 0.0782896i | 0.934267 | − | 0.356575i | \(-0.116056\pi\) |
−0.900496 | + | 0.434864i | \(0.856796\pi\) | |||||||
\(314\) | 46.3167 | + | 38.8644i | 2.61381 | + | 2.19324i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −49.4714 | + | 41.5115i | −2.78299 | + | 2.33520i | ||||
\(317\) | −6.75232 | − | 3.39114i | −0.379248 | − | 0.190466i | 0.248955 | − | 0.968515i | \(-0.419913\pi\) |
−0.628203 | + | 0.778050i | \(0.716209\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.806758 | − | 0.0942965i | 0.0451698 | − | 0.00527959i | ||||
\(320\) | −2.43224 | + | 41.7600i | −0.135966 | + | 2.33445i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.62656 | + | 1.72405i | 0.0906446 | + | 0.0960776i | ||||
\(323\) | 6.77481 | 0.376961 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.419780 | −0.0232852 | ||||||||
\(326\) | 20.7880 | + | 22.0340i | 1.15134 | + | 1.22035i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.62377 | − | 45.0485i | 0.144874 | − | 2.48739i | ||||
\(329\) | −16.2088 | + | 1.89454i | −0.893620 | + | 0.104449i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 27.0102 | + | 13.5650i | 1.48461 | + | 0.745601i | 0.992188 | − | 0.124753i | \(-0.0398137\pi\) |
0.492427 | + | 0.870354i | \(0.336110\pi\) | |||||||
\(332\) | 64.7154 | − | 54.3027i | 3.55172 | − | 2.98025i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 10.9234 | + | 9.16582i | 0.597701 | + | 0.501531i | ||||
\(335\) | 12.7490 | + | 29.5556i | 0.696554 | + | 1.61479i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 21.9824 | + | 5.20993i | 1.19746 | + | 0.283803i | 0.780520 | − | 0.625131i | \(-0.214955\pi\) |
0.416940 | + | 0.908934i | \(0.363103\pi\) | |||||||
\(338\) | 9.88823 | + | 33.0290i | 0.537849 | + | 1.79654i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 15.9545 | + | 1.86482i | 0.865257 | + | 0.101134i | ||||
\(341\) | 0.910502 | − | 5.16371i | 0.0493064 | − | 0.279631i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.43492 | − | 19.4804i | −0.185468 | − | 1.05184i | ||||
\(344\) | 3.53673 | + | 60.7233i | 0.190688 | + | 3.27398i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.58653 | − | 8.31452i | 0.192813 | − | 0.446991i | ||||
\(347\) | 16.0215 | − | 8.04632i | 0.860082 | − | 0.431949i | 0.0366256 | − | 0.999329i | \(-0.488339\pi\) |
0.823456 | + | 0.567380i | \(0.192043\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −26.1088 | + | 6.18789i | −1.39757 | + | 0.331230i | −0.859269 | − | 0.511523i | \(-0.829081\pi\) |
−0.538300 | + | 0.842753i | \(0.680933\pi\) | |||||||
\(350\) | −7.90517 | − | 13.6921i | −0.422549 | − | 0.731876i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −13.0949 | + | 22.6810i | −0.697960 | + | 1.20890i | ||||
\(353\) | 5.99125 | − | 20.0122i | 0.318882 | − | 1.06514i | −0.636871 | − | 0.770970i | \(-0.719772\pi\) |
0.955753 | − | 0.294170i | \(-0.0950431\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.87645 | + | 1.23416i | 0.0995918 | + | 0.0655025i | ||||
\(356\) | −32.8766 | − | 44.1609i | −1.74245 | − | 2.34052i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −14.9119 | + | 9.80774i | −0.788121 | + | 0.518355i | ||||
\(359\) | 12.6815 | + | 4.61568i | 0.669303 | + | 0.243606i | 0.654248 | − | 0.756280i | \(-0.272985\pi\) |
0.0150553 | + | 0.999887i | \(0.495208\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −16.7731 | + | 6.10492i | −0.882796 | + | 0.321311i | ||||
\(362\) | 3.11554 | − | 4.18490i | 0.163749 | − | 0.219953i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.894785 | − | 0.948416i | 0.0468995 | − | 0.0497105i | ||||
\(365\) | 7.05493 | − | 7.47779i | 0.369272 | − | 0.391405i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −5.89270 | + | 7.91527i | −0.307596 | + | 0.413173i | −0.928862 | − | 0.370427i | \(-0.879211\pi\) |
0.621265 | + | 0.783600i | \(0.286619\pi\) | |||||||
\(368\) | 5.01116 | − | 1.82391i | 0.261225 | − | 0.0950780i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −58.7974 | − | 21.4005i | −3.05673 | − | 1.11256i | ||||
\(371\) | 9.40625 | − | 6.18659i | 0.488348 | − | 0.321192i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 6.44396 | + | 8.65574i | 0.333655 | + | 0.448177i | 0.937013 | − | 0.349293i | \(-0.113578\pi\) |
−0.603358 | + | 0.797471i | \(0.706171\pi\) | |||||||
\(374\) | 4.58751 | + | 3.01725i | 0.237214 | + | 0.156018i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −19.8415 | + | 66.2753i | −1.02325 | + | 3.41789i | ||||
\(377\) | −0.0295714 | + | 0.0512192i | −0.00152301 | + | 0.00263792i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −6.41085 | − | 11.1039i | −0.329303 | − | 0.570370i | 0.653071 | − | 0.757297i | \(-0.273480\pi\) |
−0.982374 | + | 0.186927i | \(0.940147\pi\) | |||||||
\(380\) | −85.0157 | + | 20.1491i | −4.36121 | + | 1.03363i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −11.1489 | + | 5.59918i | −0.570427 | + | 0.286479i | ||||
\(383\) | 5.50565 | − | 12.7635i | 0.281326 | − | 0.652186i | −0.717699 | − | 0.696354i | \(-0.754804\pi\) |
0.999024 | + | 0.0441680i | \(0.0140637\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.586844 | − | 10.0757i | −0.0299084 | − | 0.513507i | ||||
\(386\) | −2.90979 | − | 16.5022i | −0.148104 | − | 0.839942i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 2.01979 | − | 11.4548i | 0.102539 | − | 0.581528i | ||||
\(389\) | 34.5433 | + | 4.03753i | 1.75141 | + | 0.204711i | 0.930488 | − | 0.366324i | \(-0.119384\pi\) |
0.820926 | + | 0.571034i | \(0.193458\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.149338 | − | 0.498823i | −0.00755234 | − | 0.0252266i | ||||
\(392\) | −26.3618 | − | 6.24787i | −1.33147 | − | 0.315565i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −11.3521 | − | 26.3171i | −0.571909 | − | 1.32583i | ||||
\(395\) | −27.8829 | − | 23.3965i | −1.40294 | − | 1.17721i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 11.3325 | − | 9.50911i | 0.568763 | − | 0.477249i | −0.312472 | − | 0.949927i | \(-0.601157\pi\) |
0.881235 | + | 0.472678i | \(0.156713\pi\) | |||||||
\(398\) | 5.57911 | + | 2.80194i | 0.279656 | + | 0.140448i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −35.3309 | + | 4.12958i | −1.76654 | + | 0.206479i | ||||
\(401\) | −1.50994 | + | 25.9247i | −0.0754029 | + | 1.29462i | 0.722305 | + | 0.691574i | \(0.243083\pi\) |
−0.797708 | + | 0.603044i | \(0.793954\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.261999 | + | 0.277703i | 0.0130511 | + | 0.0138334i | ||||
\(404\) | 43.5167 | 2.16504 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.22752 | −0.110550 | ||||||||
\(407\) | −10.5157 | − | 11.1460i | −0.521246 | − | 0.552488i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.20574 | + | 20.7018i | −0.0596200 | + | 1.02364i | 0.827314 | + | 0.561740i | \(0.189868\pi\) |
−0.886934 | + | 0.461896i | \(0.847169\pi\) | |||||||
\(410\) | 41.8073 | − | 4.88657i | 2.06471 | − | 0.241331i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −36.2800 | − | 18.2205i | −1.78739 | − | 0.897660i | ||||
\(413\) | −20.6561 | + | 17.3326i | −1.01642 | + | 0.852880i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 36.4746 | + | 30.6058i | 1.79047 | + | 1.50238i | ||||
\(416\) | −0.755313 | − | 1.75101i | −0.0370323 | − | 0.0858505i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −29.0606 | − | 6.88749i | −1.42140 | − | 0.336878i | ||||
\(419\) | −2.60357 | − | 8.69653i | −0.127193 | − | 0.424853i | 0.870544 | − | 0.492090i | \(-0.163767\pi\) |
−0.997737 | + | 0.0672367i | \(0.978582\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 25.6584 | + | 2.99904i | 1.25051 | + | 0.146164i | 0.715460 | − | 0.698654i | \(-0.246217\pi\) |
0.535054 | + | 0.844818i | \(0.320291\pi\) | |||||||
\(422\) | −5.10110 | + | 28.9298i | −0.248318 | + | 1.40828i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −8.28783 | − | 47.0026i | −0.402492 | − | 2.28265i | ||||
\(425\) | 0.201951 | + | 3.46736i | 0.00979604 | + | 0.168192i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.81938 | − | 13.4908i | 0.281620 | − | 0.652868i | ||||
\(428\) | 18.9429 | − | 9.51347i | 0.915639 | − | 0.459851i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −55.2086 | + | 13.0847i | −2.66240 | + | 0.630999i | ||||
\(431\) | 10.5319 | + | 18.2418i | 0.507305 | + | 0.878678i | 0.999964 | + | 0.00845587i | \(0.00269162\pi\) |
−0.492659 | + | 0.870222i | \(0.663975\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −14.6179 | + | 25.3190i | −0.702493 | + | 1.21675i | 0.265095 | + | 0.964222i | \(0.414597\pi\) |
−0.967589 | + | 0.252532i | \(0.918737\pi\) | |||||||
\(434\) | −4.12407 | + | 13.7754i | −0.197962 | + | 0.661238i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −48.0744 | − | 31.6190i | −2.30235 | − | 1.51428i | ||||
\(437\) | 1.69126 | + | 2.27176i | 0.0809040 | + | 0.108673i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 20.4577 | − | 13.4553i | 0.976394 | − | 0.642185i | 0.0422600 | − | 0.999107i | \(-0.486544\pi\) |
0.934134 | + | 0.356922i | \(0.116174\pi\) | |||||||
\(440\) | −40.2061 | − | 14.6338i | −1.91675 | − | 0.697640i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.375695 | + | 0.136742i | −0.0178700 | + | 0.00650414i | ||||
\(443\) | 12.1100 | − | 16.2665i | 0.575363 | − | 0.772846i | −0.415226 | − | 0.909718i | \(-0.636297\pi\) |
0.990589 | + | 0.136872i | \(0.0437049\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 21.2940 | − | 22.5703i | 1.00943 | − | 1.06993i | ||||
\(446\) | −7.39635 | + | 7.83967i | −0.350227 | + | 0.371219i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 16.7767 | − | 22.5351i | 0.792627 | − | 1.06468i | ||||
\(449\) | −29.1855 | + | 10.6227i | −1.37735 | + | 0.501314i | −0.921374 | − | 0.388678i | \(-0.872932\pi\) |
−0.455976 | + | 0.889992i | \(0.650710\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.68668 | + | 3.52566i | 0.456128 | + | 0.166017i | ||||
\(452\) | 59.3150 | − | 39.0121i | 2.78994 | − | 1.83497i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 17.0989 | + | 22.9679i | 0.802493 | + | 1.07793i | ||||
\(455\) | 0.613995 | + | 0.403831i | 0.0287845 | + | 0.0189319i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.55375 | − | 5.18989i | 0.0726815 | − | 0.242773i | −0.913927 | − | 0.405878i | \(-0.866966\pi\) |
0.986609 | + | 0.163105i | \(0.0521509\pi\) | |||||||
\(458\) | 7.57498 | − | 13.1202i | 0.353956 | − | 0.613069i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 3.35757 | + | 5.81548i | 0.156547 | + | 0.271148i | ||||
\(461\) | 16.3680 | − | 3.87929i | 0.762335 | − | 0.180677i | 0.168982 | − | 0.985619i | \(-0.445952\pi\) |
0.593353 | + | 0.804942i | \(0.297804\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.82307 | − | 2.92446i | 0.270621 | − | 0.135911i | −0.308314 | − | 0.951285i | \(-0.599765\pi\) |
0.578935 | + | 0.815374i | \(0.303468\pi\) | |||||||
\(464\) | −1.98501 | + | 4.60178i | −0.0921520 | + | 0.213632i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.08591 | − | 70.1524i | −0.189276 | − | 3.24975i | ||||
\(467\) | 1.70237 | + | 9.65460i | 0.0787761 | + | 0.446761i | 0.998527 | + | 0.0542586i | \(0.0172795\pi\) |
−0.919751 | + | 0.392503i | \(0.871609\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3.75394 | − | 21.2896i | 0.173341 | − | 0.983064i | ||||
\(470\) | −64.0955 | − | 7.49169i | −2.95651 | − | 0.345566i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 32.7848 | + | 109.509i | 1.50904 | + | 5.04056i | ||||
\(473\) | −13.5207 | − | 3.20445i | −0.621680 | − | 0.147341i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −7.48259 | − | 17.3466i | −0.343325 | − | 0.795916i | ||||
\(476\) | −8.26432 | − | 6.93459i | −0.378795 | − | 0.317846i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 7.30348 | − | 6.12835i | 0.334054 | − | 0.280304i | ||||
\(479\) | −3.29029 | − | 1.65245i | −0.150337 | − | 0.0755022i | 0.372040 | − | 0.928217i | \(-0.378658\pi\) |
−0.522377 | + | 0.852715i | \(0.674955\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.10823 | − | 0.129533i | 0.0505308 | − | 0.00590621i | ||||
\(482\) | 1.31041 | − | 22.4989i | 0.0596876 | − | 1.02480i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 26.2456 | + | 27.8188i | 1.19298 | + | 1.26449i | ||||
\(485\) | 6.55569 | 0.297678 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 21.6887 | 0.982808 | 0.491404 | − | 0.870932i | \(-0.336484\pi\) | ||||
0.491404 | + | 0.870932i | \(0.336484\pi\) | |||||||
\(488\) | −42.7430 | − | 45.3049i | −1.93489 | − | 2.05086i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.46939 | − | 25.2284i | 0.0663802 | − | 1.13970i | ||||
\(491\) | −13.4650 | + | 1.57383i | −0.607666 | + | 0.0710259i | −0.414361 | − | 0.910113i | \(-0.635995\pi\) |
−0.193305 | + | 0.981139i | \(0.561921\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.437294 | + | 0.219617i | 0.0196947 | + | 0.00989106i | ||||
\(494\) | 1.66586 | − | 1.39782i | 0.0749506 | − | 0.0628910i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 24.7831 | + | 20.7955i | 1.11279 | + | 0.933745i | ||||
\(497\) | −0.597451 | − | 1.38505i | −0.0267993 | − | 0.0621279i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5.14154 | + | 1.21857i | 0.230167 | + | 0.0545506i | 0.344081 | − | 0.938940i | \(-0.388191\pi\) |
−0.113914 | + | 0.993491i | \(0.536339\pi\) | |||||||
\(500\) | 7.79317 | + | 26.0310i | 0.348521 | + | 1.16414i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −10.8445 | − | 1.26754i | −0.484012 | − | 0.0565729i | ||||
\(503\) | 3.77163 | − | 21.3900i | 0.168169 | − | 0.953731i | −0.777568 | − | 0.628798i | \(-0.783547\pi\) |
0.945737 | − | 0.324933i | \(-0.105342\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 4.25901 | + | 24.1541i | 0.189524 | + | 1.07484i | ||||
\(506\) | 0.133466 | + | 2.29153i | 0.00593330 | + | 0.101871i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −14.8146 | + | 34.3441i | −0.657292 | + | 1.52377i | ||||
\(509\) | −18.1154 | + | 9.09792i | −0.802953 | + | 0.403258i | −0.802433 | − | 0.596742i | \(-0.796462\pi\) |
−0.000519625 | 1.00000i | \(0.500165\pi\) | ||||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −6.71847 | + | 1.59231i | −0.297208 | + | 0.0704395i | ||||
\(512\) | 11.8929 | + | 20.5990i | 0.525595 | + | 0.910358i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −7.67167 | + | 13.2877i | −0.338383 | + | 0.586096i | ||||
\(515\) | 6.56259 | − | 21.9206i | 0.289182 | − | 0.965936i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −13.2040 | − | 8.68440i | −0.580711 | − | 0.381940i | ||||
\(518\) | 25.0948 | + | 33.7082i | 1.10260 | + | 1.48105i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.60291 | − | 1.71196i | 0.114145 | − | 0.0750743i | ||||
\(521\) | −14.6420 | − | 5.32927i | −0.641479 | − | 0.233479i | 0.000740713 | − | 1.00000i | \(-0.499764\pi\) |
−0.642220 | + | 0.766520i | \(0.721986\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −12.3756 | + | 4.50436i | −0.541148 | + | 0.196962i | −0.598109 | − | 0.801415i | \(-0.704081\pi\) |
0.0569613 | + | 0.998376i | \(0.481859\pi\) | |||||||
\(524\) | 21.7214 | − | 29.1769i | 0.948905 | − | 1.27460i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 26.2083 | − | 27.7792i | 1.14274 | − | 1.21123i | ||||
\(527\) | 2.16776 | − | 2.29770i | 0.0944293 | − | 0.100089i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −13.6047 | + | 18.2742i | −0.591507 | + | 0.794532i | ||||
\(530\) | 41.8350 | − | 15.2267i | 1.81719 | − | 0.661405i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 55.1410 | + | 20.0697i | 2.39066 | + | 0.870131i | ||||
\(533\) | −0.627108 | + | 0.412455i | −0.0271630 | + | 0.0178654i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 7.13444 | + | 9.58321i | 0.308449 | + | 0.414318i | ||||
\(536\) | −76.5686 | − | 50.3600i | −3.30726 | − | 2.17522i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −6.31547 | + | 21.0951i | −0.272279 | + | 0.909476i | ||||
\(539\) | 3.09447 | − | 5.35978i | 0.133288 | − | 0.230862i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 12.1790 | + | 21.0947i | 0.523618 | + | 0.906933i | 0.999622 | + | 0.0274896i | \(0.00875133\pi\) |
−0.476004 | + | 0.879443i | \(0.657915\pi\) | |||||||
\(542\) | −22.1422 | + | 5.24779i | −0.951088 | + | 0.225412i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −14.0999 | + | 7.08123i | −0.604527 | + | 0.303605i | ||||
\(545\) | 12.8452 | − | 29.7784i | 0.550226 | − | 1.27557i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 0.838665 | + | 14.3993i | 0.0358587 | + | 0.615671i | 0.967591 | + | 0.252524i | \(0.0812606\pi\) |
−0.931732 | + | 0.363147i | \(0.881702\pi\) | |||||||
\(548\) | −12.4359 | − | 70.5278i | −0.531237 | − | 3.01280i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.65876 | − | 15.0786i | 0.113370 | − | 0.642952i | ||||
\(551\) | −2.64364 | − | 0.308998i | −0.112623 | − | 0.0131637i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 7.01116 | + | 23.4189i | 0.298145 | + | 0.995873i | ||||
\(554\) | 79.2955 | + | 18.7934i | 3.36894 | + | 0.798454i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 27.4807 | + | 63.7073i | 1.16544 | + | 2.70179i | ||||
\(557\) | −17.7225 | − | 14.8710i | −0.750928 | − | 0.630103i | 0.184821 | − | 0.982772i | \(-0.440830\pi\) |
−0.935748 | + | 0.352669i | \(0.885274\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.775053 | − | 0.650347i | 0.0327812 | − | 0.0275067i | ||||
\(560\) | 55.6496 | + | 27.9483i | 2.35162 | + | 1.18103i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 9.83481 | − | 1.14952i | 0.414857 | − | 0.0484898i | ||||
\(563\) | 0.0302164 | − | 0.518796i | 0.00127347 | − | 0.0218647i | −0.997612 | − | 0.0690737i | \(-0.977996\pi\) |
0.998885 | + | 0.0472090i | \(0.0150327\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 27.4590 | + | 29.1048i | 1.15521 | + | 1.22445i | ||||
\(566\) | 18.9008 | 0.794460 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −6.39460 | −0.268312 | ||||||||
\(569\) | −2.27935 | − | 2.41597i | −0.0955553 | − | 0.101283i | 0.677831 | − | 0.735218i | \(-0.262920\pi\) |
−0.773386 | + | 0.633935i | \(0.781439\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.38043 | − | 23.7011i | 0.0577693 | − | 0.991861i | −0.837529 | − | 0.546394i | \(-0.816000\pi\) |
0.895298 | − | 0.445468i | \(-0.146963\pi\) | |||||||
\(572\) | 1.25419 | − | 0.146594i | 0.0524402 | − | 0.00612939i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −25.2627 | − | 12.6874i | −1.05444 | − | 0.529562i | ||||
\(575\) | −1.11227 | + | 0.933308i | −0.0463850 | + | 0.0389216i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −30.1749 | − | 25.3198i | −1.25620 | − | 1.05408i | −0.996076 | − | 0.0885007i | \(-0.971792\pi\) |
−0.260123 | − | 0.965576i | \(-0.583763\pi\) | |||||||
\(578\) | −16.5724 | − | 38.4191i | −0.689320 | − | 1.59802i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −6.14068 | − | 1.45537i | −0.254978 | − | 0.0604308i | ||||
\(581\) | −9.17155 | − | 30.6351i | −0.380500 | − | 1.27096i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 10.8292 | + | 1.26576i | 0.448501 | + | 0.0524223i | ||||
\(584\) | −5.08279 | + | 28.8259i | −0.210327 | + | 1.19282i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −3.94457 | − | 22.3708i | −0.162949 | − | 0.924128i | ||||
\(587\) | 0.576562 | + | 9.89918i | 0.0237972 | + | 0.408583i | 0.989080 | + | 0.147377i | \(0.0470831\pi\) |
−0.965283 | + | 0.261206i | \(0.915880\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −6.80539 | + | 15.7767i | −0.280411 | + | 0.650066i | ||||
\(590\) | −95.2865 | + | 47.8547i | −3.92288 | + | 1.97015i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 91.9998 | − | 21.8044i | 3.78117 | − | 0.896153i | ||||
\(593\) | −5.22061 | − | 9.04237i | −0.214385 | − | 0.371326i | 0.738697 | − | 0.674037i | \(-0.235441\pi\) |
−0.953082 | + | 0.302712i | \(0.902108\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.04023 | − | 5.26583i | 0.124637 | − | 0.215878i | ||||
\(596\) | 2.97059 | − | 9.92247i | 0.121680 | − | 0.406440i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.139641 | − | 0.0918434i | −0.00571035 | − | 0.00375575i | ||||
\(599\) | 27.1659 | + | 36.4901i | 1.10997 | + | 1.49095i | 0.851078 | + | 0.525039i | \(0.175949\pi\) |
0.258890 | + | 0.965907i | \(0.416643\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 7.83707 | − | 5.15452i | 0.319681 | − | 0.210257i | −0.379518 | − | 0.925184i | \(-0.623910\pi\) |
0.699199 | + | 0.714927i | \(0.253540\pi\) | |||||||
\(602\) | 35.8082 | + | 13.0331i | 1.45943 | + | 0.531190i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 58.2462 | − | 21.1999i | 2.37000 | − | 0.862611i | ||||
\(605\) | −12.8722 | + | 17.2904i | −0.523329 | + | 0.702953i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −21.8779 | + | 23.1892i | −0.887997 | + | 0.941221i | −0.998613 | − | 0.0526417i | \(-0.983236\pi\) |
0.110617 | + | 0.993863i | \(0.464717\pi\) | |||||||
\(608\) | 58.8937 | − | 62.4237i | 2.38845 | − | 2.53161i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 34.6945 | − | 46.6028i | 1.40474 | − | 1.88689i | ||||
\(611\) | 1.08134 | − | 0.393577i | 0.0437465 | − | 0.0159224i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −23.7444 | − | 8.64224i | −0.959025 | − | 0.349057i | −0.185374 | − | 0.982668i | \(-0.559350\pi\) |
−0.773652 | + | 0.633611i | \(0.781572\pi\) | |||||||
\(614\) | −25.5670 | + | 16.8157i | −1.03180 | + | 0.678626i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 17.1600 | + | 23.0499i | 0.691397 | + | 0.928707i | ||||
\(617\) | −6.63890 | − | 4.36647i | −0.267272 | − | 0.175788i | 0.408798 | − | 0.912625i | \(-0.365948\pi\) |
−0.676070 | + | 0.736837i | \(0.736318\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 10.2509 | − | 34.2405i | 0.412019 | − | 1.37624i | −0.460500 | − | 0.887660i | \(-0.652330\pi\) |
0.872519 | − | 0.488580i | \(-0.162485\pi\) | |||||||
\(620\) | −20.3692 | + | 35.2805i | −0.818047 | + | 1.41690i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −33.9927 | − | 58.8771i | −1.36298 | − | 2.36076i | ||||
\(623\) | −20.2785 | + | 4.80608i | −0.812439 | + | 0.192552i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −27.5912 | + | 13.8568i | −1.10365 | + | 0.554273i | ||||
\(626\) | 1.58677 | − | 3.67854i | 0.0634200 | − | 0.147024i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −6.68928 | − | 114.851i | −0.266931 | − | 4.58304i | ||||
\(629\) | −1.60309 | − | 9.09157i | −0.0639193 | − | 0.362504i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −3.64311 | + | 20.6611i | −0.145030 | + | 0.822506i | 0.822313 | + | 0.569035i | \(0.192683\pi\) |
−0.967343 | + | 0.253471i | \(0.918428\pi\) | |||||||
\(632\) | 102.933 | + | 12.0311i | 4.09444 | + | 0.478572i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 5.75542 | + | 19.2245i | 0.228577 | + | 0.763501i | ||||
\(635\) | −20.5127 | − | 4.86160i | −0.814022 | − | 0.192927i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.178489 | + | 0.413784i | 0.00707199 | + | 0.0163947i | ||||
\(638\) | −1.65251 | − | 1.38662i | −0.0654233 | − | 0.0548967i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 23.4122 | − | 19.6452i | 0.925449 | − | 0.776544i | ||||
\(641\) | 4.26195 | + | 2.14043i | 0.168337 | + | 0.0845420i | 0.530973 | − | 0.847389i | \(-0.321827\pi\) |
−0.362636 | + | 0.931931i | \(0.618123\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 8.05217 | − | 0.941164i | 0.317547 | − | 0.0371159i | 0.0441733 | − | 0.999024i | \(-0.485935\pi\) |
0.273373 | + | 0.961908i | \(0.411861\pi\) | |||||||
\(644\) | 0.262233 | − | 4.50237i | 0.0103334 | − | 0.177418i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −12.3473 | − | 13.0874i | −0.485800 | − | 0.514918i | ||||
\(647\) | −10.4984 | −0.412736 | −0.206368 | − | 0.978474i | \(-0.566164\pi\) | ||||
−0.206368 | + | 0.978474i | \(0.566164\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −26.1134 | −1.02504 | ||||||||
\(650\) | 0.765065 | + | 0.810922i | 0.0300083 | + | 0.0318070i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3.35144 | − | 57.5420i | 0.131252 | − | 2.25352i | ||||
\(653\) | −46.4167 | + | 5.42533i | −1.81642 | + | 0.212310i | −0.955209 | − | 0.295931i | \(-0.904370\pi\) |
−0.861215 | + | 0.508240i | \(0.830296\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 18.3206 | + | 9.20097i | 0.715847 | + | 0.359512i | ||||
\(656\) | −48.7230 | + | 40.8835i | −1.90231 | + | 1.59623i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 33.2010 | + | 27.8589i | 1.29431 | + | 1.08605i | ||||
\(659\) | −6.00323 | − | 13.9170i | −0.233852 | − | 0.542131i | 0.760368 | − | 0.649493i | \(-0.225019\pi\) |
−0.994220 | + | 0.107362i | \(0.965760\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −46.7631 | − | 11.0831i | −1.81888 | − | 0.431081i | −0.827426 | − | 0.561575i | \(-0.810196\pi\) |
−0.991449 | + | 0.130494i | \(0.958344\pi\) | |||||||
\(662\) | −23.0225 | − | 76.9004i | −0.894794 | − | 2.98882i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −134.650 | − | 15.7383i | −5.22543 | − | 0.610765i | ||||
\(665\) | −5.74304 | + | 32.5704i | −0.222706 | + | 1.26303i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.0355229 | + | 0.201460i | 0.00137545 | + | 0.00780057i | ||||
\(668\) | −1.57761 | − | 27.0865i | −0.0610395 | − | 1.04801i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 33.8592 | − | 78.4944i | 1.30809 | − | 3.03250i | ||||
\(671\) | 12.7151 | − | 6.38578i | 0.490862 | − | 0.246520i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −25.8107 | + | 6.11725i | −0.994930 | + | 0.235803i | −0.695664 | − | 0.718367i | \(-0.744890\pi\) |
−0.299266 | + | 0.954170i | \(0.596742\pi\) | |||||||
\(674\) | −29.9994 | − | 51.9604i | −1.15553 | − | 2.00144i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 32.8011 | − | 56.8132i | 1.26158 | − | 2.18512i | ||||
\(677\) | −13.5662 | + | 45.3143i | −0.521392 | + | 1.74157i | 0.138649 | + | 0.990342i | \(0.455724\pi\) |
−0.660041 | + | 0.751230i | \(0.729461\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −3.67858 | − | 2.41944i | −0.141171 | − | 0.0928496i | ||||
\(680\) | −15.3929 | − | 20.6762i | −0.590290 | − | 0.792897i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −11.6346 | + | 7.65217i | −0.445510 | + | 0.293017i | ||||
\(683\) | −14.6776 | − | 5.34220i | −0.561622 | − | 0.204414i | 0.0455809 | − | 0.998961i | \(-0.485486\pi\) |
−0.607203 | + | 0.794547i | \(0.707708\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 37.9295 | − | 13.8052i | 1.44921 | − | 0.527470i | ||||
\(686\) | −31.3715 | + | 42.1392i | −1.19777 | + | 1.60888i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 58.8346 | − | 62.3611i | 2.24305 | − | 2.37749i | ||||
\(689\) | −0.544796 | + | 0.577450i | −0.0207551 | + | 0.0219991i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.91734 | − | 5.26190i | 0.149023 | − | 0.200172i | −0.721343 | − | 0.692578i | \(-0.756475\pi\) |
0.870366 | + | 0.492406i | \(0.163882\pi\) | |||||||
\(692\) | −16.1906 | + | 5.89289i | −0.615474 | + | 0.224014i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −44.7436 | − | 16.2853i | −1.69844 | − | 0.618182i | ||||
\(695\) | −32.6714 | + | 21.4883i | −1.23930 | + | 0.815098i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 3.70854 | + | 4.98144i | 0.140471 | + | 0.188685i | ||||
\(698\) | 59.5378 | + | 39.1586i | 2.25354 | + | 1.48218i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −8.62799 | + | 28.8195i | −0.326107 | + | 1.08927i | ||||
\(701\) | −11.9474 | + | 20.6936i | −0.451249 | + | 0.781586i | −0.998464 | − | 0.0554061i | \(-0.982355\pi\) |
0.547215 | + | 0.836992i | \(0.315688\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 25.1069 | + | 43.4864i | 0.946924 | + | 1.64012i | ||||
\(704\) | 26.4739 | − | 6.27444i | 0.997774 | − | 0.236477i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −49.5783 | + | 24.8992i | −1.86590 | + | 0.937092i | ||||
\(707\) | 6.52445 | − | 15.1254i | 0.245377 | − | 0.568848i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.69978 | + | 46.3535i | 0.101393 | + | 1.74084i | 0.539558 | + | 0.841948i | \(0.318591\pi\) |
−0.438165 | + | 0.898894i | \(0.644372\pi\) | |||||||
\(710\) | −1.03578 | − | 5.87419i | −0.0388721 | − | 0.220455i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −15.3414 | + | 87.0056i | −0.574945 | + | 3.26067i | ||||
\(713\) | 1.31163 | + | 0.153308i | 0.0491210 | + | 0.00574142i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.204116 | + | 0.681794i | 0.00763349 | + | 0.0254976i | ||||
\(716\) | 33.0454 | + | 7.83191i | 1.23497 | + | 0.292692i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −14.1960 | − | 32.9100i | −0.529790 | − | 1.22819i | ||||
\(719\) | −3.57771 | − | 3.00206i | −0.133426 | − | 0.111958i | 0.573632 | − | 0.819113i | \(-0.305534\pi\) |
−0.707059 | + | 0.707155i | \(0.749978\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −11.7725 | + | 9.87828i | −0.438430 | + | 0.367886i | ||||
\(722\) | 42.3630 | + | 21.2755i | 1.57659 | + | 0.791791i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −9.86011 | + | 1.15248i | −0.366448 | + | 0.0428316i | ||||
\(725\) | 0.0793410 | − | 1.36223i | 0.00294665 | − | 0.0505920i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 23.7620 | + | 25.1863i | 0.881285 | + | 0.934107i | 0.998256 | − | 0.0590282i | \(-0.0188002\pi\) |
−0.116972 | + | 0.993135i | \(0.537319\pi\) | |||||||
\(728\) | −2.09238 | −0.0775488 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −27.3033 | −1.01054 | ||||||||
\(731\) | −5.74469 | − | 6.08901i | −0.212475 | − | 0.225210i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.61871 | − | 44.9615i | 0.0967242 | − | 1.66069i | −0.505846 | − | 0.862624i | \(-0.668820\pi\) |
0.602570 | − | 0.798066i | \(-0.294143\pi\) | |||||||
\(734\) | 26.0302 | − | 3.04249i | 0.960791 | − | 0.112300i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −5.89439 | − | 2.96027i | −0.217270 | − | 0.109117i | ||||
\(737\) | 16.0376 | − | 13.4571i | 0.590752 | − | 0.495699i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −38.9851 | − | 32.7123i | −1.43409 | − | 1.20334i | −0.943246 | − | 0.332094i | \(-0.892245\pi\) |
−0.490842 | − | 0.871249i | \(-0.663311\pi\) | |||||||
\(740\) | 47.1562 | + | 109.320i | 1.73350 | + | 4.01870i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −29.0943 | − | 6.89549i | −1.06809 | − | 0.253141i | ||||
\(743\) | 5.23961 | + | 17.5015i | 0.192222 | + | 0.642068i | 0.998708 | + | 0.0508142i | \(0.0161816\pi\) |
−0.806486 | + | 0.591254i | \(0.798633\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 5.79823 | + | 0.677716i | 0.212431 | + | 0.0248296i | ||||
\(746\) | 4.97660 | − | 28.2237i | 0.182206 | − | 1.03334i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −1.81423 | − | 10.2890i | −0.0663347 | − | 0.376203i | ||||
\(749\) | −0.466556 | − | 8.01045i | −0.0170476 | − | 0.292696i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 8.78368 | − | 20.3629i | 0.320521 | − | 0.743051i | −0.679436 | − | 0.733735i | \(-0.737775\pi\) |
0.999957 | − | 0.00931599i | \(-0.00296541\pi\) | |||||||
\(752\) | 87.1395 | − | 43.7631i | 3.17765 | − | 1.59588i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.152839 | − | 0.0362235i | 0.00556607 | − | 0.00131918i | ||||
\(755\) | 17.4677 | + | 30.2549i | 0.635713 | + | 1.10109i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1.95553 | + | 3.38708i | −0.0710750 | + | 0.123106i | −0.899373 | − | 0.437183i | \(-0.855976\pi\) |
0.828298 | + | 0.560288i | \(0.189310\pi\) | |||||||
\(758\) | −9.76627 | + | 32.6216i | −0.354727 | + | 1.18487i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 117.140 | + | 77.0443i | 4.24912 | + | 2.79469i | ||||
\(761\) | −1.87452 | − | 2.51792i | −0.0679514 | − | 0.0912745i | 0.766848 | − | 0.641829i | \(-0.221824\pi\) |
−0.834800 | + | 0.550554i | \(0.814417\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −18.1978 | + | 11.9689i | −0.658805 | + | 0.433303i | ||||
\(764\) | 22.3071 | + | 8.11911i | 0.807042 | + | 0.293739i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −34.6905 | + | 12.6263i | −1.25342 | + | 0.456207i | ||||
\(767\) | 1.13544 | − | 1.52516i | 0.0409985 | − | 0.0550705i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 14.2206 | − | 15.0729i | 0.512808 | − | 0.543544i | −0.418290 | − | 0.908313i | \(-0.637371\pi\) |
0.931098 | + | 0.364769i | \(0.118852\pi\) | |||||||
\(770\) | −18.3945 | + | 19.4970i | −0.662892 | + | 0.702624i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −19.0399 | + | 25.5751i | −0.685262 | + | 0.920467i | ||||
\(773\) | −18.6463 | + | 6.78668i | −0.670659 | + | 0.244100i | −0.654832 | − | 0.755775i | \(-0.727260\pi\) |
−0.0158274 | + | 0.999875i | \(0.505038\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −8.27738 | − | 3.01272i | −0.297332 | − | 0.108220i | ||||
\(776\) | −15.5946 | + | 10.2567i | −0.559814 | + | 0.368195i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −55.1568 | − | 74.0884i | −1.97747 | − | 2.65620i | ||||
\(779\) | −28.2221 | − | 18.5620i | −1.01116 | − | 0.665051i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.418959 | − | 1.39942i | 0.0149915 | − | 0.0500752i | ||||
\(782\) | −0.691441 | + | 1.19761i | −0.0247259 | + | 0.0428264i | ||||
\(783\) | 0 |