Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [414,2,Mod(17,414)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(414, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("414.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 414 = 2 \cdot 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 414.j (of order \(22\), degree \(10\), 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: | \(3.30580664368\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 89.4 | ||
Character | \(\chi\) | \(=\) | 414.89 |
Dual form | 414.2.j.a.107.4 |
$q$-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 \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(235\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.989821 | + | 0.142315i | −0.699909 | + | 0.100632i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.959493 | − | 0.281733i | 0.479746 | − | 0.140866i | ||||
\(5\) | 2.09328 | − | 2.41578i | 0.936144 | − | 1.08037i | −0.0604719 | − | 0.998170i | \(-0.519261\pi\) |
0.996616 | − | 0.0821980i | \(-0.0261940\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.761188 | + | 1.18443i | 0.287702 | + | 0.447673i | 0.954779 | − | 0.297315i | \(-0.0960913\pi\) |
−0.667077 | + | 0.744988i | \(0.732455\pi\) | |||||||
\(8\) | −0.909632 | + | 0.415415i | −0.321603 | + | 0.146871i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.72817 | + | 2.68909i | −0.546497 | + | 0.850366i | ||||
\(11\) | 0.611710 | − | 4.25454i | 0.184438 | − | 1.28279i | −0.661677 | − | 0.749789i | \(-0.730155\pi\) |
0.846114 | − | 0.533002i | \(-0.178936\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.51536 | + | 0.973861i | 0.420285 | + | 0.270101i | 0.733644 | − | 0.679534i | \(-0.237818\pi\) |
−0.313359 | + | 0.949635i | \(0.601454\pi\) | |||||||
\(14\) | −0.922002 | − | 1.06405i | −0.246415 | − | 0.284379i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | −1.94380 | − | 0.570751i | −0.471440 | − | 0.138427i | 0.0373782 | − | 0.999301i | \(-0.488099\pi\) |
−0.508818 | + | 0.860874i | \(0.669918\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.0167231 | − | 0.0569538i | −0.00383655 | − | 0.0130661i | 0.957552 | − | 0.288259i | \(-0.0930764\pi\) |
−0.961389 | + | 0.275193i | \(0.911258\pi\) | |||||||
\(20\) | 1.32789 | − | 2.90767i | 0.296924 | − | 0.650174i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.29829i | 0.916398i | ||||||||
\(23\) | −2.58260 | + | 4.04106i | −0.538510 | + | 0.842619i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.742571 | − | 5.16469i | −0.148514 | − | 1.03294i | ||||
\(26\) | −1.63853 | − | 0.748291i | −0.321342 | − | 0.146752i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.06405 | + | 0.922002i | 0.201086 | + | 0.174242i | ||||
\(29\) | 2.29954 | − | 7.83150i | 0.427013 | − | 1.45427i | −0.412512 | − | 0.910952i | \(-0.635348\pi\) |
0.839525 | − | 0.543321i | \(-0.182833\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.82540 | − | 3.99706i | −0.327851 | − | 0.717893i | 0.671890 | − | 0.740651i | \(-0.265483\pi\) |
−0.999741 | + | 0.0227578i | \(0.992755\pi\) | |||||||
\(32\) | −0.755750 | + | 0.654861i | −0.133599 | + | 0.115764i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.00524 | + | 0.288310i | 0.343896 | + | 0.0494447i | ||||
\(35\) | 4.45470 | + | 0.640489i | 0.752982 | + | 0.108262i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.96044 | − | 4.29825i | 0.815491 | − | 0.706627i | −0.143627 | − | 0.989632i | \(-0.545877\pi\) |
0.959119 | + | 0.283005i | \(0.0913312\pi\) | |||||||
\(38\) | 0.0246583 | + | 0.0539941i | 0.00400010 | + | 0.00875900i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.900567 | + | 3.06705i | −0.142392 | + | 0.484943i | ||||
\(41\) | 8.47079 | + | 7.33998i | 1.32292 | + | 1.14631i | 0.978214 | + | 0.207600i | \(0.0665653\pi\) |
0.344701 | + | 0.938712i | \(0.387980\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.53347 | + | 2.98374i | 0.996345 | + | 0.455016i | 0.845750 | − | 0.533580i | \(-0.179154\pi\) |
0.150596 | + | 0.988595i | \(0.451881\pi\) | |||||||
\(44\) | −0.611710 | − | 4.25454i | −0.0922188 | − | 0.641396i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.98121 | − | 4.36747i | 0.292114 | − | 0.643948i | ||||
\(47\) | 0.223550i | 0.0326082i | 0.999867 | + | 0.0163041i | \(0.00518998\pi\) | ||||
−0.999867 | + | 0.0163041i | \(0.994810\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.08443 | − | 4.56427i | 0.297776 | − | 0.652039i | ||||
\(50\) | 1.47002 | + | 5.00645i | 0.207893 | + | 0.708018i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.72834 | + | 0.507487i | 0.239678 | + | 0.0703759i | ||||
\(53\) | 1.93957 | − | 1.24649i | 0.266421 | − | 0.171218i | −0.400609 | − | 0.916249i | \(-0.631202\pi\) |
0.667030 | + | 0.745031i | \(0.267565\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.99753 | − | 10.3837i | −1.21323 | − | 1.40014i | ||||
\(56\) | −1.18443 | − | 0.761188i | −0.158276 | − | 0.101718i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.16159 | + | 8.07905i | −0.152524 | + | 1.06083i | ||||
\(59\) | −6.13821 | + | 9.55124i | −0.799127 | + | 1.24347i | 0.167143 | + | 0.985933i | \(0.446546\pi\) |
−0.966269 | + | 0.257533i | \(0.917090\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.45253 | − | 0.663348i | 0.185977 | − | 0.0849330i | −0.320250 | − | 0.947333i | \(-0.603767\pi\) |
0.506227 | + | 0.862400i | \(0.331040\pi\) | |||||||
\(62\) | 2.37566 | + | 3.69659i | 0.301709 | + | 0.469468i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.654861 | − | 0.755750i | 0.0818576 | − | 0.0944687i | ||||
\(65\) | 5.52470 | − | 1.62220i | 0.685255 | − | 0.201209i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.815293 | − | 0.117221i | 0.0996039 | − | 0.0143209i | −0.0923326 | − | 0.995728i | \(-0.529432\pi\) |
0.191937 | + | 0.981407i | \(0.438523\pi\) | |||||||
\(68\) | −2.02586 | −0.245672 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −4.50051 | −0.537914 | ||||||||
\(71\) | −10.6755 | + | 1.53490i | −1.26694 | + | 0.182159i | −0.742825 | − | 0.669486i | \(-0.766514\pi\) |
−0.524119 | + | 0.851645i | \(0.675605\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −11.1441 | + | 3.27221i | −1.30432 | + | 0.382984i | −0.858811 | − | 0.512293i | \(-0.828796\pi\) |
−0.445512 | + | 0.895276i | \(0.646978\pi\) | |||||||
\(74\) | −4.29825 | + | 4.96044i | −0.499661 | + | 0.576639i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.0320915 | − | 0.0499353i | −0.00368114 | − | 0.00572797i | ||||
\(77\) | 5.50483 | − | 2.51397i | 0.627334 | − | 0.286494i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −8.97046 | + | 13.9583i | −1.00926 | + | 1.57043i | −0.202729 | + | 0.979235i | \(0.564981\pi\) |
−0.806527 | + | 0.591198i | \(0.798655\pi\) | |||||||
\(80\) | 0.454914 | − | 3.16399i | 0.0508609 | − | 0.353745i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −9.42916 | − | 6.05975i | −1.04128 | − | 0.669188i | ||||
\(83\) | −1.33209 | − | 1.53731i | −0.146216 | − | 0.168742i | 0.677917 | − | 0.735138i | \(-0.262883\pi\) |
−0.824133 | + | 0.566396i | \(0.808337\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −5.44772 | + | 3.50104i | −0.590889 | + | 0.379741i | ||||
\(86\) | −6.89160 | − | 2.02356i | −0.743141 | − | 0.218206i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.21097 | + | 4.12418i | 0.129090 | + | 0.439639i | ||||
\(89\) | 2.08277 | − | 4.56064i | 0.220774 | − | 0.483427i | −0.766543 | − | 0.642194i | \(-0.778025\pi\) |
0.987316 | + | 0.158767i | \(0.0507518\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.53613i | 0.265859i | ||||||||
\(92\) | −1.33949 | + | 4.60497i | −0.139652 | + | 0.480101i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.0318145 | − | 0.221275i | −0.00328142 | − | 0.0228228i | ||||
\(95\) | −0.172594 | − | 0.0788209i | −0.0177077 | − | 0.00808686i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −7.36577 | − | 6.38247i | −0.747880 | − | 0.648042i | 0.195141 | − | 0.980775i | \(-0.437484\pi\) |
−0.943021 | + | 0.332733i | \(0.892029\pi\) | |||||||
\(98\) | −1.41365 | + | 4.81446i | −0.142801 | + | 0.486334i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.16755 | − | 4.74628i | −0.216755 | − | 0.474628i | ||||
\(101\) | −13.8249 | + | 11.9793i | −1.37563 | + | 1.19199i | −0.416458 | + | 0.909155i | \(0.636729\pi\) |
−0.959169 | + | 0.282833i | \(0.908726\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 15.8993 | + | 2.28598i | 1.56661 | + | 0.225244i | 0.870308 | − | 0.492508i | \(-0.163920\pi\) |
0.696299 | + | 0.717752i | \(0.254829\pi\) | |||||||
\(104\) | −1.78297 | − | 0.256353i | −0.174835 | − | 0.0251375i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.74244 | + | 1.50983i | −0.169240 | + | 0.146648i | ||||
\(107\) | 2.43155 | + | 5.32435i | 0.235067 | + | 0.514724i | 0.989998 | − | 0.141079i | \(-0.0450573\pi\) |
−0.754932 | + | 0.655803i | \(0.772330\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.59644 | − | 8.84268i | 0.248694 | − | 0.846975i | −0.736632 | − | 0.676294i | \(-0.763585\pi\) |
0.985326 | − | 0.170681i | \(-0.0545968\pi\) | |||||||
\(110\) | 10.3837 | + | 8.99753i | 0.990047 | + | 0.857880i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.28070 | + | 0.584878i | 0.121015 | + | 0.0552658i | ||||
\(113\) | 2.65406 | + | 18.4594i | 0.249673 | + | 1.73652i | 0.600100 | + | 0.799925i | \(0.295128\pi\) |
−0.350427 | + | 0.936590i | \(0.613963\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.35617 | + | 14.6981i | 0.406215 | + | 1.37060i | ||||
\(116\) | − | 8.16213i | − | 0.757834i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.71645 | − | 10.3276i | 0.434184 | − | 0.950731i | ||||
\(119\) | −0.803580 | − | 2.73674i | −0.0736641 | − | 0.250877i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.17247 | − | 2.10603i | −0.652043 | − | 0.191457i | ||||
\(122\) | −1.34334 | + | 0.863313i | −0.121620 | + | 0.0781607i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.87756 | − | 3.32088i | −0.258412 | − | 0.298223i | ||||
\(125\) | −0.585692 | − | 0.376402i | −0.0523859 | − | 0.0336664i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.95141 | + | 13.5723i | −0.173160 | + | 1.20435i | 0.698997 | + | 0.715124i | \(0.253630\pi\) |
−0.872157 | + | 0.489227i | \(0.837279\pi\) | |||||||
\(128\) | −0.540641 | + | 0.841254i | −0.0477863 | + | 0.0743570i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −5.23761 | + | 2.39193i | −0.459368 | + | 0.209787i | ||||
\(131\) | 2.16064 | + | 3.36202i | 0.188776 | + | 0.293741i | 0.922722 | − | 0.385467i | \(-0.125960\pi\) |
−0.733946 | + | 0.679208i | \(0.762323\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.0547284 | − | 0.0631599i | 0.00474555 | − | 0.00547666i | ||||
\(134\) | −0.790312 | + | 0.232057i | −0.0682726 | + | 0.0200466i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.00524 | − | 0.288310i | 0.171948 | − | 0.0247224i | ||||
\(137\) | −12.1475 | −1.03783 | −0.518914 | − | 0.854826i | \(-0.673664\pi\) | ||||
−0.518914 | + | 0.854826i | \(0.673664\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.48973 | −0.211176 | −0.105588 | − | 0.994410i | \(-0.533672\pi\) | ||||
−0.105588 | + | 0.994410i | \(0.533672\pi\) | |||||||
\(140\) | 4.45470 | − | 0.640489i | 0.376491 | − | 0.0541312i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 10.3484 | − | 3.03855i | 0.868415 | − | 0.254990i | ||||
\(143\) | 5.07029 | − | 5.85142i | 0.423999 | − | 0.489321i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −14.1056 | − | 21.9487i | −1.17140 | − | 1.82274i | ||||
\(146\) | 10.5650 | − | 4.82488i | 0.874367 | − | 0.399310i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.54855 | − | 5.52165i | 0.291689 | − | 0.453877i | ||||
\(149\) | 1.13993 | − | 7.92840i | 0.0933869 | − | 0.649520i | −0.888335 | − | 0.459197i | \(-0.848137\pi\) |
0.981721 | − | 0.190323i | \(-0.0609536\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 19.1288 | + | 12.2933i | 1.55668 | + | 1.00042i | 0.983483 | + | 0.181000i | \(0.0579333\pi\) |
0.573197 | + | 0.819418i | \(0.305703\pi\) | |||||||
\(152\) | 0.0388713 | + | 0.0448599i | 0.00315288 | + | 0.00363862i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −5.09103 | + | 3.27180i | −0.410247 | + | 0.263649i | ||||
\(155\) | −13.4771 | − | 3.95722i | −1.08250 | − | 0.317852i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.11443 | + | 17.4182i | 0.408176 | + | 1.39012i | 0.865540 | + | 0.500840i | \(0.166976\pi\) |
−0.457364 | + | 0.889280i | \(0.651206\pi\) | |||||||
\(158\) | 6.89268 | − | 15.0929i | 0.548352 | − | 1.20072i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.19653i | 0.252708i | ||||||||
\(161\) | −6.75220 | + | 0.0170872i | −0.532148 | + | 0.00134666i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.147917 | + | 1.02879i | 0.0115858 | + | 0.0805809i | 0.994794 | − | 0.101906i | \(-0.0324942\pi\) |
−0.983208 | + | 0.182487i | \(0.941585\pi\) | |||||||
\(164\) | 10.1956 | + | 4.65616i | 0.796141 | + | 0.363585i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.53731 | + | 1.33209i | 0.119319 | + | 0.103390i | ||||
\(167\) | 2.09591 | − | 7.13801i | 0.162186 | − | 0.552356i | −0.837793 | − | 0.545987i | \(-0.816155\pi\) |
0.999980 | − | 0.00636857i | \(-0.00202719\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.05249 | − | 8.87372i | −0.311730 | − | 0.682594i | ||||
\(170\) | 4.89402 | − | 4.24070i | 0.375354 | − | 0.325246i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 7.10944 | + | 1.02218i | 0.542090 | + | 0.0779407i | ||||
\(173\) | 15.1180 | + | 2.17365i | 1.14940 | + | 0.165259i | 0.690572 | − | 0.723264i | \(-0.257359\pi\) |
0.458832 | + | 0.888523i | \(0.348268\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.55199 | − | 4.81083i | 0.419691 | − | 0.363664i | ||||
\(176\) | −1.78557 | − | 3.90986i | −0.134593 | − | 0.294717i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.41253 | + | 4.81063i | −0.105873 | + | 0.360572i | ||||
\(179\) | −13.2117 | − | 11.4480i | −0.987489 | − | 0.855665i | 0.00203963 | − | 0.999998i | \(-0.499351\pi\) |
−0.989529 | + | 0.144333i | \(0.953896\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −9.74629 | − | 4.45098i | −0.724436 | − | 0.330839i | 0.0188413 | − | 0.999822i | \(-0.494002\pi\) |
−0.743277 | + | 0.668984i | \(0.766730\pi\) | |||||||
\(182\) | −0.360929 | − | 2.51031i | −0.0267538 | − | 0.186077i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.670503 | − | 4.74873i | 0.0494301 | − | 0.350081i | ||||
\(185\) | − | 20.9808i | − | 1.54254i | ||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.61732 | + | 7.92083i | −0.264525 | + | 0.579228i | ||||
\(188\) | 0.0629814 | + | 0.214495i | 0.00459339 | + | 0.0156437i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.182054 | + | 0.0534560i | 0.0132076 | + | 0.00387811i | ||||
\(191\) | −13.4931 | + | 8.67148i | −0.976325 | + | 0.627446i | −0.928470 | − | 0.371408i | \(-0.878875\pi\) |
−0.0478555 | + | 0.998854i | \(0.515239\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.166139 | + | 0.191734i | 0.0119589 | + | 0.0138014i | 0.761698 | − | 0.647933i | \(-0.224366\pi\) |
−0.749739 | + | 0.661734i | \(0.769821\pi\) | |||||||
\(194\) | 8.19911 | + | 5.26925i | 0.588662 | + | 0.378310i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.714095 | − | 4.96664i | 0.0510068 | − | 0.354760i | ||||
\(197\) | −3.12738 | + | 4.86629i | −0.222816 | + | 0.346709i | −0.934607 | − | 0.355683i | \(-0.884248\pi\) |
0.711790 | + | 0.702392i | \(0.247885\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −5.88139 | + | 2.68594i | −0.416920 | + | 0.190401i | −0.612820 | − | 0.790223i | \(-0.709965\pi\) |
0.195899 | + | 0.980624i | \(0.437237\pi\) | |||||||
\(200\) | 2.82096 | + | 4.38950i | 0.199472 | + | 0.310384i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 11.9793 | − | 13.8249i | 0.842863 | − | 0.972716i | ||||
\(203\) | 11.0263 | − | 3.23760i | 0.773891 | − | 0.227235i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 35.4635 | − | 5.09888i | 2.47688 | − | 0.356121i | ||||
\(206\) | −16.0628 | −1.11915 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.80131 | 0.124898 | ||||||||
\(209\) | −0.252542 | + | 0.0363100i | −0.0174687 | + | 0.00251162i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.31641 | − | 2.14829i | 0.503682 | − | 0.147894i | −0.0200138 | − | 0.999800i | \(-0.506371\pi\) |
0.523696 | + | 0.851905i | \(0.324553\pi\) | |||||||
\(212\) | 1.50983 | − | 1.74244i | 0.103695 | − | 0.119671i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.16453 | − | 4.92411i | −0.216323 | − | 0.336605i | ||||
\(215\) | 20.8844 | − | 9.53761i | 1.42431 | − | 0.650459i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3.34477 | − | 5.20457i | 0.227058 | − | 0.353309i | ||||
\(218\) | −1.31157 | + | 9.12218i | −0.0888308 | + | 0.617832i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −11.5585 | − | 7.42819i | −0.779273 | − | 0.500808i | ||||
\(221\) | −2.38972 | − | 2.75788i | −0.160750 | − | 0.185515i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −13.1618 | + | 8.45854i | −0.881376 | + | 0.566426i | −0.901213 | − | 0.433377i | \(-0.857322\pi\) |
0.0198366 | + | 0.999803i | \(0.493685\pi\) | |||||||
\(224\) | −1.35090 | − | 0.396661i | −0.0902611 | − | 0.0265031i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −5.25410 | − | 17.8938i | −0.349497 | − | 1.19028i | ||||
\(227\) | 3.24522 | − | 7.10604i | 0.215393 | − | 0.471644i | −0.770835 | − | 0.637034i | \(-0.780161\pi\) |
0.986228 | + | 0.165390i | \(0.0528882\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 16.8692i | 1.11475i | 0.830261 | + | 0.557375i | \(0.188191\pi\) | ||||
−0.830261 | + | 0.557375i | \(0.811809\pi\) | |||||||
\(230\) | −6.40359 | − | 13.9285i | −0.422240 | − | 0.918419i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.16159 | + | 8.07905i | 0.0762622 | + | 0.530415i | ||||
\(233\) | 18.7234 | + | 8.55067i | 1.22661 | + | 0.560173i | 0.920096 | − | 0.391694i | \(-0.128111\pi\) |
0.306512 | + | 0.951867i | \(0.400838\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.540048 | + | 0.467954i | 0.0352288 | + | 0.0305260i | ||||
\(236\) | −3.19867 | + | 10.8937i | −0.208216 | + | 0.709118i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 1.18488 | + | 2.59453i | 0.0768044 | + | 0.168178i | ||||
\(239\) | 3.92058 | − | 3.39720i | 0.253601 | − | 0.219747i | −0.518777 | − | 0.854910i | \(-0.673612\pi\) |
0.772378 | + | 0.635163i | \(0.219067\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 12.3414 | + | 1.77442i | 0.794978 | + | 0.114301i | 0.527824 | − | 0.849353i | \(-0.323008\pi\) |
0.267153 | + | 0.963654i | \(0.413917\pi\) | |||||||
\(242\) | 7.39918 | + | 1.06384i | 0.475637 | + | 0.0683863i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 1.20681 | − | 1.04570i | 0.0772578 | − | 0.0669443i | ||||
\(245\) | −6.66296 | − | 14.5898i | −0.425681 | − | 0.932111i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.0301235 | − | 0.102591i | 0.00191671 | − | 0.00652773i | ||||
\(248\) | 3.32088 | + | 2.87756i | 0.210876 | + | 0.182725i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.633298 | + | 0.289218i | 0.0400533 | + | 0.0182917i | ||||
\(251\) | 1.82978 | + | 12.7264i | 0.115495 | + | 0.803284i | 0.962419 | + | 0.271570i | \(0.0875427\pi\) |
−0.846924 | + | 0.531714i | \(0.821548\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 15.6130 | + | 13.4597i | 0.981583 | + | 0.846207i | ||||
\(254\) | − | 13.7119i | − | 0.860362i | ||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | 3.30430 | + | 11.2534i | 0.206117 | + | 0.701969i | 0.996051 | + | 0.0887779i | \(0.0282961\pi\) |
−0.789935 | + | 0.613191i | \(0.789886\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 8.86680 | + | 2.60353i | 0.550956 | + | 0.161775i | ||||
\(260\) | 4.84389 | − | 3.11298i | 0.300405 | − | 0.193059i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −2.61711 | − | 3.02031i | −0.161686 | − | 0.186595i | ||||
\(263\) | −12.6567 | − | 8.13394i | −0.780443 | − | 0.501560i | 0.0887378 | − | 0.996055i | \(-0.471717\pi\) |
−0.869180 | + | 0.494495i | \(0.835353\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.04884 | − | 7.29482i | 0.0644295 | − | 0.448117i | ||||
\(266\) | −0.0451827 | + | 0.0703057i | −0.00277033 | + | 0.00431072i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.749243 | − | 0.342168i | 0.0457673 | − | 0.0209012i | ||||
\(269\) | −6.94788 | − | 10.8111i | −0.423619 | − | 0.659165i | 0.562195 | − | 0.827005i | \(-0.309957\pi\) |
−0.985814 | + | 0.167840i | \(0.946321\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.5309 | − | 13.3073i | 0.700450 | − | 0.808362i | −0.288363 | − | 0.957521i | \(-0.593111\pi\) |
0.988813 | + | 0.149159i | \(0.0476566\pi\) | |||||||
\(272\) | −1.94380 | + | 0.570751i | −0.117860 | + | 0.0346068i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 12.0238 | − | 1.72877i | 0.726386 | − | 0.104439i | ||||
\(275\) | −22.4276 | −1.35244 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.3655 | −0.682885 | −0.341442 | − | 0.939903i | \(-0.610915\pi\) | ||||
−0.341442 | + | 0.939903i | \(0.610915\pi\) | |||||||
\(278\) | 2.46439 | − | 0.354325i | 0.147804 | − | 0.0212510i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −4.31821 | + | 1.26794i | −0.258062 | + | 0.0757739i | ||||
\(281\) | 13.5937 | − | 15.6880i | 0.810933 | − | 0.935866i | −0.187995 | − | 0.982170i | \(-0.560199\pi\) |
0.998927 | + | 0.0463039i | \(0.0147443\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.62562 | + | 4.08554i | 0.156077 | + | 0.242860i | 0.910482 | − | 0.413549i | \(-0.135711\pi\) |
−0.754405 | + | 0.656409i | \(0.772075\pi\) | |||||||
\(284\) | −9.81060 | + | 4.48035i | −0.582152 | + | 0.265860i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4.18594 | + | 6.51344i | −0.247520 | + | 0.385148i | ||||
\(287\) | −2.24584 | + | 15.6202i | −0.132568 | + | 0.922030i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −10.8487 | − | 6.97205i | −0.638160 | − | 0.410120i | ||||
\(290\) | 17.0856 | + | 19.7179i | 1.00330 | + | 1.15787i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −9.77083 | + | 6.27933i | −0.571795 | + | 0.367470i | ||||
\(293\) | 22.1230 | + | 6.49589i | 1.29244 | + | 0.379494i | 0.854472 | − | 0.519497i | \(-0.173881\pi\) |
0.437966 | + | 0.898991i | \(0.355699\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 10.2247 | + | 34.8220i | 0.595303 | + | 2.02741i | ||||
\(296\) | −2.72662 | + | 5.97046i | −0.158482 | + | 0.347026i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 8.00993i | 0.464003i | ||||||||
\(299\) | −7.84900 | + | 3.60855i | −0.453919 | + | 0.208688i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.43917 | + | 10.0096i | 0.0829523 | + | 0.576946i | ||||
\(302\) | −20.6836 | − | 9.44589i | −1.19021 | − | 0.543550i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.0448599 | − | 0.0388713i | −0.00257289 | − | 0.00222942i | ||||
\(305\) | 1.43805 | − | 4.89756i | 0.0823427 | − | 0.280434i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −11.8942 | − | 26.0448i | −0.678841 | − | 1.48645i | −0.863867 | − | 0.503720i | \(-0.831964\pi\) |
0.185026 | − | 0.982734i | \(-0.440763\pi\) | |||||||
\(308\) | 4.57358 | − | 3.96303i | 0.260604 | − | 0.225815i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 13.9031 | + | 1.99896i | 0.789641 | + | 0.113533i | ||||
\(311\) | −22.8758 | − | 3.28905i | −1.29717 | − | 0.186505i | −0.541079 | − | 0.840972i | \(-0.681984\pi\) |
−0.756090 | + | 0.654467i | \(0.772893\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −9.41020 | + | 8.15399i | −0.531896 | + | 0.460891i | −0.878922 | − | 0.476965i | \(-0.841737\pi\) |
0.347026 | + | 0.937855i | \(0.387191\pi\) | |||||||
\(314\) | −7.54124 | − | 16.5130i | −0.425577 | − | 0.931883i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.67458 | + | 15.9202i | −0.262966 | + | 0.895580i | ||||
\(317\) | −12.0880 | − | 10.4743i | −0.678928 | − | 0.588295i | 0.245617 | − | 0.969367i | \(-0.421009\pi\) |
−0.924545 | + | 0.381072i | \(0.875555\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −31.9128 | − | 14.5741i | −1.78677 | − | 0.815991i | ||||
\(320\) | −0.454914 | − | 3.16399i | −0.0254304 | − | 0.176873i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 6.68104 | − | 0.977852i | 0.372320 | − | 0.0544936i | ||||
\(323\) | 0.120251i | 0.00669096i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.90443 | − | 8.54952i | 0.216579 | − | 0.474242i | ||||
\(326\) | −0.292824 | − | 0.997266i | −0.0162180 | − | 0.0552334i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −10.7544 | − | 3.15779i | −0.593815 | − | 0.174360i | ||||
\(329\) | −0.264780 | + | 0.170164i | −0.0145978 | + | 0.00938144i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −11.3271 | − | 13.0722i | −0.622595 | − | 0.718513i | 0.353602 | − | 0.935396i | \(-0.384957\pi\) |
−0.976198 | + | 0.216883i | \(0.930411\pi\) | |||||||
\(332\) | −1.71124 | − | 1.09975i | −0.0939166 | − | 0.0603565i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.05873 | + | 7.36364i | −0.0579312 | + | 0.402920i | ||||
\(335\) | 1.42346 | − | 2.21494i | 0.0777718 | − | 0.121015i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −22.9693 | + | 10.4897i | −1.25122 | + | 0.571412i | −0.927174 | − | 0.374631i | \(-0.877770\pi\) |
−0.324043 | + | 0.946042i | \(0.605042\pi\) | |||||||
\(338\) | 5.27410 | + | 8.20667i | 0.286873 | + | 0.446384i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −4.24070 | + | 4.89402i | −0.229984 | + | 0.265416i | ||||
\(341\) | −18.1222 | + | 5.32117i | −0.981375 | + | 0.288158i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 16.7480 | − | 2.40799i | 0.904305 | − | 0.130019i | ||||
\(344\) | −7.18255 | −0.387257 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −15.2735 | −0.821109 | ||||||||
\(347\) | −14.1623 | + | 2.03623i | −0.760270 | + | 0.109310i | −0.511536 | − | 0.859262i | \(-0.670923\pi\) |
−0.248734 | + | 0.968572i | \(0.580014\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −21.2707 | + | 6.24564i | −1.13859 | + | 0.334322i | −0.796080 | − | 0.605191i | \(-0.793097\pi\) |
−0.342514 | + | 0.939513i | \(0.611279\pi\) | |||||||
\(350\) | −4.81083 | + | 5.55199i | −0.257149 | + | 0.296766i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2.32383 | + | 3.61595i | 0.123861 | + | 0.192731i | ||||
\(353\) | 31.5609 | − | 14.4134i | 1.67982 | − | 0.767148i | 0.680409 | − | 0.732833i | \(-0.261802\pi\) |
0.999411 | − | 0.0343149i | \(-0.0109249\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −18.6388 | + | 29.0025i | −0.989243 | + | 1.53929i | ||||
\(356\) | 0.713527 | − | 4.96269i | 0.0378168 | − | 0.263022i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 14.7065 | + | 9.45126i | 0.777260 | + | 0.499515i | ||||
\(359\) | 24.7144 | + | 28.5219i | 1.30438 | + | 1.50533i | 0.720401 | + | 0.693558i | \(0.243958\pi\) |
0.583974 | + | 0.811772i | \(0.301497\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 15.9809 | − | 10.2703i | 0.841098 | − | 0.540541i | ||||
\(362\) | 10.2805 | + | 3.01863i | 0.540332 | + | 0.158656i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.714510 | + | 2.43340i | 0.0374505 | + | 0.127545i | ||||
\(365\) | −15.4229 | + | 33.7714i | −0.807271 | + | 1.76768i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 35.0108i | − | 1.82755i | −0.406220 | − | 0.913775i | \(-0.633153\pi\) | ||
0.406220 | − | 0.913775i | \(-0.366847\pi\) | |||||||
\(368\) | 0.0121363 | + | 4.79582i | 0.000632649 | + | 0.249999i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.98587 | + | 20.7672i | 0.155228 | + | 1.07964i | ||||
\(371\) | 2.95276 | + | 1.34848i | 0.153299 | + | 0.0700095i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 21.4255 | + | 18.5653i | 1.10937 | + | 0.961273i | 0.999466 | − | 0.0326696i | \(-0.0104009\pi\) |
0.109902 | + | 0.993942i | \(0.464946\pi\) | |||||||
\(374\) | 2.45325 | − | 8.35500i | 0.126855 | − | 0.432027i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.0928662 | − | 0.203349i | −0.00478921 | − | 0.0104869i | ||||
\(377\) | 11.1114 | − | 9.62810i | 0.572267 | − | 0.495872i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −32.4797 | − | 4.66987i | −1.66837 | − | 0.239875i | −0.757578 | − | 0.652745i | \(-0.773618\pi\) |
−0.910790 | + | 0.412869i | \(0.864527\pi\) | |||||||
\(380\) | −0.187809 | − | 0.0270028i | −0.00963440 | − | 0.00138522i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 12.1217 | − | 10.5035i | 0.620198 | − | 0.537405i | ||||
\(383\) | 13.7459 | + | 30.0992i | 0.702381 | + | 1.53800i | 0.837061 | + | 0.547110i | \(0.184272\pi\) |
−0.134680 | + | 0.990889i | \(0.543001\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 5.44997 | − | 18.5609i | 0.277756 | − | 0.945951i | ||||
\(386\) | −0.191734 | − | 0.166139i | −0.00975903 | − | 0.00845625i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −8.86555 | − | 4.04876i | −0.450080 | − | 0.205545i | ||||
\(389\) | 3.24429 | + | 22.5645i | 0.164492 | + | 1.14407i | 0.890036 | + | 0.455891i | \(0.150679\pi\) |
−0.725544 | + | 0.688176i | \(0.758412\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 7.32650 | − | 6.38098i | 0.370517 | − | 0.322700i | ||||
\(392\) | 5.01772i | 0.253433i | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 2.40300 | − | 5.26183i | 0.121061 | − | 0.265087i | ||||
\(395\) | 14.9424 | + | 50.8893i | 0.751836 | + | 2.56052i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −8.48991 | − | 2.49286i | −0.426096 | − | 0.125113i | 0.0616515 | − | 0.998098i | \(-0.480363\pi\) |
−0.487748 | + | 0.872985i | \(0.662181\pi\) | |||||||
\(398\) | 5.43927 | − | 3.49561i | 0.272646 | − | 0.175219i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.41693 | − | 3.94335i | −0.170847 | − | 0.197168i | ||||
\(401\) | −3.83342 | − | 2.46359i | −0.191432 | − | 0.123026i | 0.441414 | − | 0.897304i | \(-0.354477\pi\) |
−0.632846 | + | 0.774278i | \(0.718113\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.12645 | − | 7.83466i | 0.0561126 | − | 0.390272i | ||||
\(404\) | −9.88991 | + | 15.3890i | −0.492042 | + | 0.765632i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −10.4533 | + | 4.77385i | −0.518787 | + | 0.236922i | ||||
\(407\) | −15.2527 | − | 23.7337i | −0.756048 | − | 1.17643i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 24.2597 | − | 27.9972i | 1.19957 | − | 1.38437i | 0.296411 | − | 0.955061i | \(-0.404210\pi\) |
0.903156 | − | 0.429313i | \(-0.141244\pi\) | |||||||
\(410\) | −34.3769 | + | 10.0940i | −1.69775 | + | 0.498505i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 15.8993 | − | 2.28598i | 0.783304 | − | 0.112622i | ||||
\(413\) | −15.9851 | −0.786576 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −6.50224 | −0.319183 | ||||||||
\(416\) | −1.78297 | + | 0.256353i | −0.0874175 | + | 0.0125687i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.244804 | − | 0.0718808i | 0.0119737 | − | 0.00351581i | ||||
\(419\) | 13.7628 | − | 15.8831i | 0.672356 | − | 0.775940i | −0.312387 | − | 0.949955i | \(-0.601129\pi\) |
0.984743 | + | 0.174015i | \(0.0556741\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.17175 | − | 11.1595i | −0.349530 | − | 0.543879i | 0.621323 | − | 0.783554i | \(-0.286595\pi\) |
−0.970853 | + | 0.239675i | \(0.922959\pi\) | |||||||
\(422\) | −6.93620 | + | 3.16766i | −0.337649 | + | 0.154199i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.24649 | + | 1.93957i | −0.0605348 | + | 0.0941939i | ||||
\(425\) | −1.50434 | + | 10.4629i | −0.0729714 | + | 0.507527i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.89134 | + | 1.21549i | 0.0915283 | + | 0.0588217i | ||||
\(428\) | 3.83310 | + | 4.42363i | 0.185280 | + | 0.213824i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −19.3145 | + | 12.4127i | −0.931429 | + | 0.598593i | ||||
\(431\) | −4.14925 | − | 1.21833i | −0.199862 | − | 0.0586849i | 0.180269 | − | 0.983617i | \(-0.442303\pi\) |
−0.380132 | + | 0.924932i | \(0.624121\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1.92680 | − | 6.56206i | −0.0925959 | − | 0.315353i | 0.900151 | − | 0.435579i | \(-0.143456\pi\) |
−0.992747 | + | 0.120226i | \(0.961638\pi\) | |||||||
\(434\) | −2.57004 | + | 5.62760i | −0.123366 | + | 0.270134i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | − | 9.21599i | − | 0.441366i | ||||||
\(437\) | 0.273343 | + | 0.0795099i | 0.0130758 | + | 0.00380347i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.650721 | + | 4.52587i | 0.0310572 | + | 0.216008i | 0.999440 | − | 0.0334612i | \(-0.0106530\pi\) |
−0.968383 | + | 0.249469i | \(0.919744\pi\) | |||||||
\(440\) | 12.4980 | + | 5.70764i | 0.595818 | + | 0.272101i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.75788 | + | 2.38972i | 0.131179 | + | 0.113667i | ||||
\(443\) | −2.05792 | + | 7.00865i | −0.0977749 | + | 0.332991i | −0.993825 | − | 0.110963i | \(-0.964606\pi\) |
0.896050 | + | 0.443954i | \(0.146425\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.65765 | − | 14.5782i | −0.315603 | − | 0.691074i | ||||
\(446\) | 11.8240 | − | 10.2456i | 0.559883 | − | 0.485141i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.39361 | + | 0.200370i | 0.0658417 | + | 0.00946660i | ||||
\(449\) | 12.2372 | + | 1.75944i | 0.577507 | + | 0.0830330i | 0.424878 | − | 0.905251i | \(-0.360317\pi\) |
0.152629 | + | 0.988284i | \(0.451226\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 36.4099 | − | 31.5493i | 1.71447 | − | 1.48560i | ||||
\(452\) | 7.74717 | + | 16.9639i | 0.364396 | + | 0.797917i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2.20089 | + | 7.49555i | −0.103293 | + | 0.351784i | ||||
\(455\) | 6.12672 | + | 5.30883i | 0.287225 | + | 0.248882i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −24.2784 | − | 11.0876i | −1.13570 | − | 0.518655i | −0.243319 | − | 0.969946i | \(-0.578236\pi\) |
−0.892377 | + | 0.451292i | \(0.850963\pi\) | |||||||
\(458\) | −2.40074 | − | 16.6975i | −0.112179 | − | 0.780224i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 8.32064 | + | 12.8754i | 0.387952 | + | 0.600319i | ||||
\(461\) | 14.4388i | 0.672482i | 0.941776 | + | 0.336241i | \(0.109156\pi\) | ||||
−0.941776 | + | 0.336241i | \(0.890844\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.27802 | + | 4.98817i | −0.105869 | + | 0.231820i | −0.955151 | − | 0.296119i | \(-0.904308\pi\) |
0.849283 | + | 0.527939i | \(0.177035\pi\) | |||||||
\(464\) | −2.29954 | − | 7.83150i | −0.106753 | − | 0.363568i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −19.7497 | − | 5.79902i | −0.914885 | − | 0.268635i | ||||
\(467\) | 20.0609 | − | 12.8923i | 0.928306 | − | 0.596586i | 0.0132500 | − | 0.999912i | \(-0.495782\pi\) |
0.915056 | + | 0.403326i | \(0.132146\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.759432 | + | 0.876431i | 0.0350673 | + | 0.0404698i | ||||
\(470\) | −0.601148 | − | 0.386334i | −0.0277289 | − | 0.0178203i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.61578 | − | 11.2380i | 0.0743725 | − | 0.517272i | ||||
\(473\) | 16.6910 | − | 25.9717i | 0.767454 | − | 1.19418i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.281731 | + | 0.128662i | −0.0129267 | + | 0.00590342i | ||||
\(476\) | −1.54206 | − | 2.39949i | −0.0706802 | − | 0.109981i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −3.39720 | + | 3.92058i | −0.155384 | + | 0.179323i | ||||
\(479\) | 2.69705 | − | 0.791926i | 0.123231 | − | 0.0361840i | −0.219535 | − | 0.975605i | \(-0.570454\pi\) |
0.342767 | + | 0.939421i | \(0.388636\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 11.7027 | − | 1.68260i | 0.533599 | − | 0.0767199i | ||||
\(482\) | −12.4683 | −0.567915 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −7.47527 | −0.339785 | ||||||||
\(485\) | −30.8373 | + | 4.43373i | −1.40025 | + | 0.201325i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 2.89310 | − | 0.849491i | 0.131099 | − | 0.0384941i | −0.215525 | − | 0.976498i | \(-0.569146\pi\) |
0.346624 | + | 0.938004i | \(0.387328\pi\) | |||||||
\(488\) | −1.04570 | + | 1.20681i | −0.0473368 | + | 0.0546295i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 8.67149 | + | 13.4931i | 0.391738 | + | 0.609556i | ||||
\(491\) | 11.2077 | − | 5.11839i | 0.505797 | − | 0.230990i | −0.146139 | − | 0.989264i | \(-0.546685\pi\) |
0.651935 | + | 0.758274i | \(0.273957\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −8.93967 | + | 13.9104i | −0.402622 | + | 0.626493i | ||||
\(494\) | −0.0152167 | + | 0.105834i | −0.000684630 | + | 0.00476170i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −3.69659 | − | 2.37566i | −0.165982 | − | 0.106670i | ||||
\(497\) | −9.94401 | − | 11.4760i | −0.446050 | − | 0.514769i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5.68259 | − | 3.65198i | 0.254388 | − | 0.163485i | −0.407232 | − | 0.913325i | \(-0.633506\pi\) |
0.661619 | + | 0.749840i | \(0.269869\pi\) | |||||||
\(500\) | −0.668012 | − | 0.196146i | −0.0298744 | − | 0.00877192i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −3.62231 | − | 12.3365i | −0.161672 | − | 0.550603i | ||||
\(503\) | 7.64114 | − | 16.7318i | 0.340702 | − | 0.746032i | −0.659281 | − | 0.751896i | \(-0.729139\pi\) |
0.999983 | + | 0.00586407i | \(0.00186660\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 58.4739i | 2.60206i | ||||||||
\(506\) | −17.3696 | − | 11.1008i | −0.772174 | − | 0.493490i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.95141 | + | 13.5723i | 0.0865798 | + | 0.602176i | ||||
\(509\) | 21.4168 | + | 9.78073i | 0.949283 | + | 0.433523i | 0.829020 | − | 0.559219i | \(-0.188899\pi\) |
0.120263 | + | 0.992742i | \(0.461626\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −12.3585 | − | 10.7087i | −0.546708 | − | 0.473725i | ||||
\(512\) | −0.281733 | + | 0.959493i | −0.0124509 | + | 0.0424040i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.87220 | − | 10.6686i | −0.214903 | − | 0.470573i | ||||
\(515\) | 38.8042 | − | 33.6240i | 1.70992 | − | 1.48165i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.951103 | + | 0.136748i | 0.0418295 | + | 0.00601417i | ||||
\(518\) | −9.14707 | − | 1.31515i | −0.401899 | − | 0.0577844i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −4.35156 | + | 3.77065i | −0.190829 | + | 0.165354i | ||||
\(521\) | −2.64240 | − | 5.78605i | −0.115766 | − | 0.253492i | 0.842876 | − | 0.538108i | \(-0.180861\pi\) |
−0.958641 | + | 0.284617i | \(0.908134\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −8.71575 | + | 29.6831i | −0.381113 | + | 1.29795i | 0.516166 | + | 0.856489i | \(0.327359\pi\) |
−0.897279 | + | 0.441464i | \(0.854459\pi\) | |||||||
\(524\) | 3.02031 | + | 2.61711i | 0.131943 | + | 0.114329i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 13.6854 | + | 6.24992i | 0.596712 | + | 0.272509i | ||||
\(527\) | 1.26688 | + | 8.81132i | 0.0551860 | + | 0.383827i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.66031 | − | 20.8729i | −0.420013 | − | 0.907518i | ||||
\(530\) | 7.36983i | 0.320125i | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.0347173 | − | 0.0760203i | 0.00150519 | − | 0.00329590i | ||||
\(533\) | 5.68815 | + | 19.3721i | 0.246381 | + | 0.839098i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 17.9523 | + | 5.27128i | 0.776148 | + | 0.227898i | ||||
\(536\) | −0.692921 | + | 0.445313i | −0.0299296 | + | 0.0192346i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 8.41574 | + | 9.71228i | 0.362828 | + | 0.418726i | ||||
\(539\) | −18.1438 | − | 11.6603i | −0.781509 | − | 0.502245i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −0.426802 | + | 2.96847i | −0.0183496 | + | 0.127624i | −0.996937 | − | 0.0782065i | \(-0.975081\pi\) |
0.978588 | + | 0.205831i | \(0.0659897\pi\) | |||||||
\(542\) | −9.51966 | + | 14.8129i | −0.408905 | + | 0.636268i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.84279 | − | 0.841572i | 0.0790088 | − | 0.0360821i | ||||
\(545\) | −15.9268 | − | 24.7826i | −0.682231 | − | 1.06157i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 26.5853 | − | 30.6811i | 1.13671 | − | 1.31183i | 0.192942 | − | 0.981210i | \(-0.438197\pi\) |
0.943764 | − | 0.330619i | \(-0.107258\pi\) | |||||||
\(548\) | −11.6554 | + | 3.42234i | −0.497895 | + | 0.146195i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 22.1993 | − | 3.19178i | 0.946583 | − | 0.136098i | ||||
\(551\) | −0.484489 | −0.0206399 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −23.3609 | −0.993405 | ||||||||
\(554\) | 11.2498 | − | 1.61747i | 0.477957 | − | 0.0687199i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2.38888 | + | 0.701437i | −0.101311 | + | 0.0297476i | ||||
\(557\) | −1.97378 | + | 2.27786i | −0.0836317 | + | 0.0965161i | −0.796023 | − | 0.605266i | \(-0.793067\pi\) |
0.712391 | + | 0.701782i | \(0.247612\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 6.99480 | + | 10.8841i | 0.295849 | + | 0.460350i | ||||
\(560\) | 4.09381 | − | 1.86958i | 0.172995 | − | 0.0790042i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −11.2227 | + | 17.4629i | −0.473402 | + | 0.736627i | ||||
\(563\) | 3.67659 | − | 25.5712i | 0.154950 | − | 1.07770i | −0.752819 | − | 0.658228i | \(-0.771306\pi\) |
0.907769 | − | 0.419471i | \(-0.137784\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 50.1495 | + | 32.2291i | 2.10981 | + | 1.35589i | ||||
\(566\) | −3.18032 | − | 3.67029i | −0.133679 | − | 0.154274i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 9.07312 | − | 5.83094i | 0.380700 | − | 0.244661i | ||||
\(569\) | −19.6468 | − | 5.76881i | −0.823635 | − | 0.241841i | −0.157355 | − | 0.987542i | \(-0.550297\pi\) |
−0.666281 | + | 0.745701i | \(0.732115\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.81675 | − | 6.18727i | −0.0760285 | − | 0.258929i | 0.912704 | − | 0.408621i | \(-0.133990\pi\) |
−0.988733 | + | 0.149691i | \(0.952172\pi\) | |||||||
\(572\) | 3.21637 | − | 7.04287i | 0.134483 | − | 0.294477i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | − | 15.7808i | − | 0.658678i | ||||||
\(575\) | 22.7886 | + | 10.3376i | 0.950350 | + | 0.431107i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 4.97047 | + | 34.5704i | 0.206923 | + | 1.43918i | 0.783119 | + | 0.621872i | \(0.213628\pi\) |
−0.576195 | + | 0.817312i | \(0.695463\pi\) | |||||||
\(578\) | 11.7305 | + | 5.35715i | 0.487925 | + | 0.222828i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −19.7179 | − | 17.0856i | −0.818740 | − | 0.709442i | ||||
\(581\) | 0.806872 | − | 2.74795i | 0.0334747 | − | 0.114004i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.11677 | − | 9.01447i | −0.170499 | − | 0.373341i | ||||
\(584\) | 8.77774 | − | 7.60595i | 0.363225 | − | 0.314737i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −22.8223 | − | 3.28135i | −0.942779 | − | 0.135551i | ||||
\(587\) | −22.7888 | − | 3.27654i | −0.940596 | − | 0.135237i | −0.345073 | − | 0.938576i | \(-0.612146\pi\) |
−0.595523 | + | 0.803339i | \(0.703055\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.197121 | + | 0.170806i | −0.00812224 | + | 0.00703796i | ||||
\(590\) | −15.0763 | − | 33.0124i | −0.620680 | − | 1.35910i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.84918 | − | 6.29773i | 0.0760009 | − | 0.258835i | ||||
\(593\) | −2.05705 | − | 1.78245i | −0.0844730 | − | 0.0731963i | 0.611601 | − | 0.791167i | \(-0.290526\pi\) |
−0.696074 | + | 0.717970i | \(0.745071\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −8.29348 | − | 3.78751i | −0.340000 | − | 0.155273i | ||||
\(596\) | −1.13993 | − | 7.92840i | −0.0466934 | − | 0.324760i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 7.25556 | − | 4.68885i | 0.296702 | − | 0.191741i | ||||
\(599\) | − | 36.6970i | − | 1.49940i | −0.661777 | − | 0.749700i | \(-0.730198\pi\) | ||
0.661777 | − | 0.749700i | \(-0.269802\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 14.5841 | − | 31.9347i | 0.594898 | − | 1.30264i | −0.337539 | − | 0.941311i | \(-0.609595\pi\) |
0.932437 | − | 0.361333i | \(-0.117678\pi\) | |||||||
\(602\) | −2.84904 | − | 9.70294i | −0.116118 | − | 0.395462i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 21.8174 | + | 6.40616i | 0.887737 | + | 0.260663i | ||||
\(605\) | −20.1017 | + | 12.9186i | −0.817250 | + | 0.525215i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −19.8048 | − | 22.8559i | −0.803850 | − | 0.927693i | 0.194736 | − | 0.980856i | \(-0.437615\pi\) |
−0.998586 | + | 0.0531631i | \(0.983070\pi\) | |||||||
\(608\) | 0.0499353 | + | 0.0320915i | 0.00202514 | + | 0.00130148i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.726421 | + | 5.05237i | −0.0294119 | + | 0.204564i | ||||
\(611\) | −0.217707 | + | 0.338759i | −0.00880749 | + | 0.0137047i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −29.5388 | + | 13.4899i | −1.19306 | + | 0.544852i | −0.910144 | − | 0.414293i | \(-0.864029\pi\) |
−0.282916 | + | 0.959145i | \(0.591302\pi\) | |||||||
\(614\) | 15.4797 | + | 24.0869i | 0.624711 | + | 0.972070i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.96303 | + | 4.57358i | −0.159675 | + | 0.184275i | ||||
\(617\) | −2.66921 | + | 0.783751i | −0.107458 | + | 0.0315526i | −0.335020 | − | 0.942211i | \(-0.608743\pi\) |
0.227561 | + | 0.973764i | \(0.426925\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −5.77427 | + | 0.830215i | −0.232088 | + | 0.0333692i | −0.257377 | − | 0.966311i | \(-0.582858\pi\) |
0.0252896 | + | 0.999680i | \(0.491949\pi\) | |||||||
\(620\) | −14.0460 | −0.564102 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 23.1111 | 0.926669 | ||||||||
\(623\) | 6.98715 | − | 1.00460i | 0.279934 | − | 0.0402484i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 22.8969 | − | 6.72314i | 0.915876 | − | 0.268926i | ||||
\(626\) | 8.15399 | − | 9.41020i | 0.325899 | − | 0.376107i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 9.81452 | + | 15.2717i | 0.391642 | + | 0.609407i | ||||
\(629\) | −12.0953 | + | 5.52375i | −0.482272 | + | 0.220246i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 13.8896 | − | 21.6126i | 0.552936 | − | 0.860386i | −0.446471 | − | 0.894798i | \(-0.647320\pi\) |
0.999408 | + | 0.0344123i | \(0.0109559\pi\) | |||||||
\(632\) | 2.36133 | − | 16.4234i | 0.0939285 | − | 0.653287i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 13.4556 | + | 8.64738i | 0.534390 | + | 0.343431i | ||||
\(635\) | 28.7029 | + | 33.1249i | 1.13904 | + | 1.31452i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 7.60363 | − | 4.88656i | 0.301267 | − | 0.193613i | ||||
\(638\) | 33.6620 | + | 9.88407i | 1.33269 | + | 0.391314i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.900567 | + | 3.06705i | 0.0355980 | + | 0.121236i | ||||
\(641\) | −0.377769 | + | 0.827199i | −0.0149210 | + | 0.0326724i | −0.916946 | − | 0.399012i | \(-0.869353\pi\) |
0.902025 | + | 0.431684i | \(0.142081\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 22.8166i | 0.899800i | 0.893079 | + | 0.449900i | \(0.148540\pi\) | ||||
−0.893079 | + | 0.449900i | \(0.851460\pi\) | |||||||
\(644\) | −6.47388 | + | 1.91871i | −0.255107 | + | 0.0756078i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.0171136 | − | 0.119027i | −0.000673324 | − | 0.00468307i | ||||
\(647\) | −18.2807 | − | 8.34851i | −0.718688 | − | 0.328214i | 0.0222821 | − | 0.999752i | \(-0.492907\pi\) |
−0.740970 | + | 0.671538i | \(0.765634\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 36.8813 | + | 31.9578i | 1.44772 | + | 1.25445i | ||||
\(650\) | −2.64797 | + | 9.01816i | −0.103862 | + | 0.353721i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.431769 | + | 0.945442i | 0.0169094 | + | 0.0370264i | ||||
\(653\) | −16.8177 | + | 14.5726i | −0.658127 | + | 0.570270i | −0.918589 | − | 0.395214i | \(-0.870670\pi\) |
0.260462 | + | 0.965484i | \(0.416125\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 12.6447 | + | 1.81803i | 0.494069 | + | 0.0710365i | ||||
\(656\) | 11.0944 | + | 1.59513i | 0.433163 | + | 0.0622794i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.237868 | − | 0.206114i | 0.00927307 | − | 0.00803516i | ||||
\(659\) | −13.8092 | − | 30.2379i | −0.537930 | − | 1.17790i | −0.962194 | − | 0.272363i | \(-0.912195\pi\) |
0.424265 | − | 0.905538i | \(-0.360533\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.64227 | − | 8.99874i | 0.102772 | − | 0.350010i | −0.892012 | − | 0.452012i | \(-0.850706\pi\) |
0.994784 | + | 0.102002i | \(0.0325247\pi\) | |||||||
\(662\) | 13.0722 | + | 11.3271i | 0.508066 | + | 0.440241i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.85033 | + | 0.845019i | 0.0718069 | + | 0.0327931i | ||||
\(665\) | −0.0380183 | − | 0.264423i | −0.00147429 | − | 0.0102539i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 25.7088 | + | 29.5182i | 0.995447 | + | 1.14295i | ||||
\(668\) | − | 7.43936i | − | 0.287837i | ||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.09375 | + | 2.39498i | −0.0422552 | + | 0.0925260i | ||||
\(671\) | −1.93371 | − | 6.58562i | −0.0746501 | − | 0.254235i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −15.6942 | − | 4.60824i | −0.604968 | − | 0.177635i | −0.0351176 | − | 0.999383i | \(-0.511181\pi\) |
−0.569850 | + | 0.821749i | \(0.692999\pi\) | |||||||
\(674\) | 21.2427 | − | 13.6518i | 0.818237 | − | 0.525849i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −6.38835 | − | 7.37255i | −0.245706 | − | 0.283560i | ||||
\(677\) | −6.76875 | − | 4.35001i | −0.260144 | − | 0.167185i | 0.404067 | − | 0.914729i | \(-0.367596\pi\) |
−0.664211 | + | 0.747545i | \(0.731233\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.95287 | − | 13.5825i | 0.0749443 | − | 0.521249i | ||||
\(680\) | 3.50104 | − | 5.44772i | 0.134259 | − | 0.208911i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 17.1805 | − | 7.84607i | 0.657876 | − | 0.300442i | ||||
\(683\) | −7.15286 | − | 11.1301i | −0.273696 | − | 0.425880i | 0.677009 | − | 0.735974i | \(-0.263276\pi\) |
−0.950706 | + | 0.310094i | \(0.899639\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −25.4281 | + | 29.3456i | −0.971557 | + | 1.12124i | ||||
\(686\) | −16.2348 | + | 4.76696i | −0.619847 | + | 0.182004i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 7.10944 | − | 1.02218i | 0.271045 | − | 0.0389704i | ||||
\(689\) | 4.15305 | 0.158219 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −43.2933 | −1.64695 | −0.823477 | − | 0.567350i | \(-0.807969\pi\) | ||||
−0.823477 | + | 0.567350i | \(0.807969\pi\) | |||||||
\(692\) | 15.1180 | − | 2.17365i | 0.574702 | − | 0.0826297i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 13.7283 | − | 4.03100i | 0.521120 | − | 0.153015i | ||||
\(695\) | −5.21170 | + | 6.01463i | −0.197691 | + | 0.228148i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −12.2762 | − | 19.1021i | −0.464994 | − | 0.723546i | ||||
\(698\) | 20.1653 | − | 9.20921i | 0.763270 | − | 0.348574i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 3.97173 | − | 6.18013i | 0.150117 | − | 0.233587i | ||||
\(701\) | −3.42315 | + | 23.8086i | −0.129291 | + | 0.899237i | 0.817165 | + | 0.576404i | \(0.195544\pi\) |
−0.946456 | + | 0.322833i | \(0.895365\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.327755 | − | 0.210636i | −0.0123615 | − | 0.00794427i | ||||
\(704\) | −2.81478 | − | 3.24843i | −0.106086 | − | 0.122430i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −29.1885 | + | 18.7583i | −1.09852 | + | 0.705977i | ||||
\(707\) | −24.7120 | − | 7.25611i | −0.929392 | − | 0.272894i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.7576 | + | 43.4485i | 0.479123 | + | 1.63174i | 0.744517 | + | 0.667604i | \(0.232680\pi\) |
−0.265393 | + | 0.964140i | \(0.585502\pi\) | |||||||
\(710\) | 14.3216 | − | 31.3599i | 0.537479 | − | 1.17691i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 5.01372i | 0.187897i | ||||||||
\(713\) | 20.8666 | + | 2.94629i | 0.781461 | + | 0.110339i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.52219 | − | 24.4974i | −0.131722 | − | 0.916149i | ||||
\(716\) | −15.9018 | − | 7.26212i | −0.594279 | − | 0.271398i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −28.5219 | − | 24.7144i | −1.06443 | − | 0.922333i | ||||
\(719\) | 3.28461 | − | 11.1864i | 0.122495 | − | 0.417181i | −0.875297 | − | 0.483585i | \(-0.839334\pi\) |
0.997793 | + | 0.0664040i | \(0.0211526\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 9.39479 | + | 20.5717i | 0.349880 | + | 0.766131i | ||||
\(722\) | −14.3566 | + | 12.4400i | −0.534297 | + | 0.462971i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −10.6055 | − | 1.52484i | −0.394150 | − | 0.0566701i | ||||
\(725\) | −42.1549 | − | 6.06096i | −1.56559 | − | 0.225098i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −18.2994 | + | 15.8565i | −0.678687 | + | 0.588086i | −0.924477 | − | 0.381238i | \(-0.875498\pi\) |
0.245790 | + | 0.969323i | \(0.420953\pi\) | |||||||
\(728\) | −1.05355 | − | 2.30694i | −0.0390470 | − | 0.0855010i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 10.4597 | − | 35.6226i | 0.387132 | − | 1.31845i | ||||
\(731\) | −10.9968 | − | 9.52877i | −0.406731 | − | 0.352434i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 18.2074 | + | 8.31506i | 0.672507 | + | 0.307124i | 0.722244 | − | 0.691639i | \(-0.243111\pi\) |
−0.0497364 | + | 0.998762i | \(0.515838\pi\) | |||||||
\(734\) | 4.98256 | + | 34.6545i | 0.183910 | + | 1.27912i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.694529 | − | 4.74527i | −0.0256007 | − | 0.174913i | ||||
\(737\) | − | 3.54040i | − | 0.130412i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −0.965761 | + | 2.11472i | −0.0355261 | + | 0.0777913i | −0.926563 | − | 0.376139i | \(-0.877251\pi\) |
0.891037 | + | 0.453931i | \(0.149979\pi\) | |||||||
\(740\) | −5.91096 | − | 20.1309i | −0.217291 | − | 0.740026i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −3.11461 | − | 0.914532i | −0.114341 | − | 0.0335735i | ||||
\(743\) | 15.3104 | − | 9.83940i | 0.561684 | − | 0.360973i | −0.228782 | − | 0.973478i | \(-0.573474\pi\) |
0.790467 | + | 0.612505i | \(0.209838\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −16.7670 | − | 19.3502i | −0.614297 | − | 0.708936i | ||||
\(746\) | −23.8495 | − | 15.3271i | −0.873192 | − | 0.561166i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −1.23924 | + | 8.61909i | −0.0453111 | + | 0.315145i | ||||
\(749\) | −4.45546 | + | 6.93283i | −0.162799 | + | 0.253320i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 5.26722 | − | 2.40546i | 0.192203 | − | 0.0877764i | −0.316988 | − | 0.948429i | \(-0.602672\pi\) |
0.509192 | + | 0.860653i | \(0.329944\pi\) | |||||||
\(752\) | 0.120860 | + | 0.188063i | 0.00440733 | + | 0.00685794i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −9.62810 | + | 11.1114i | −0.350635 | + | 0.404654i | ||||
\(755\) | 69.7399 | − | 20.4775i | 2.53810 | − | 0.745252i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.87780 | − | 0.269987i | 0.0682499 | − | 0.00981286i | −0.108105 | − | 0.994139i | \(-0.534478\pi\) |
0.176355 | + | 0.984327i | \(0.443569\pi\) | |||||||
\(758\) | 32.8137 | 1.19185 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.189740 | 0.00688260 | ||||||||
\(761\) | −0.928675 | + | 0.133523i | −0.0336644 | + | 0.00484022i | −0.159126 | − | 0.987258i | \(-0.550868\pi\) |
0.125462 | + | 0.992098i | \(0.459959\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 12.4499 | − | 3.65563i | 0.450717 | − | 0.132343i | ||||
\(764\) | −10.5035 | + | 12.1217i | −0.380003 | + | 0.438546i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −17.8895 | − | 27.8366i | −0.646375 | − | 1.00578i | ||||
\(767\) | −18.6032 | + | 8.49578i | −0.671722 | + | 0.306765i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −0.500315 | + | 0.778505i | −0.0180418 | + | 0.0280736i | −0.850157 | − | 0.526529i | \(-0.823493\pi\) |
0.832116 | + | 0.554602i | \(0.187130\pi\) | |||||||
\(770\) | −2.75301 | + | 19.1476i | −0.0992115 | + | 0.690031i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.213427 | + | 0.137161i | 0.00768140 | + | 0.00493654i | ||||
\(773\) | −23.5336 | − | 27.1592i | −0.846444 | − | 0.976849i | 0.153492 | − | 0.988150i | \(-0.450948\pi\) |
−0.999936 | + | 0.0113013i | \(0.996403\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −19.2881 | + | 12.3957i | −0.692849 | + | 0.445267i | ||||
\(776\) | 9.35151 | + | 2.74585i | 0.335700 | + | 0.0985703i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −6.42253 | − | 21.8731i | −0.230259 | − | 0.784190i | ||||
\(779\) | 0.276381 | − | 0.605191i | 0.00990239 | − | 0.0216832i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 46.3580i | 1.65882i | ||||||||
\(782\) | −6.34382 | + | 7.35870i | −0.226854 | + | 0.263147i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.714095 | − | 4.96664i | −0.0255034 | − | 0.177380i | ||||
\(785\) | 52.7843 | + | 24.1058i | 1.88395 | + | 0.860372i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −9.58029 | − | 8.30137i | −0.341500 | − | 0.295912i | 0.467177 | − | 0.884164i | \(-0.345271\pi\) |
−0.808678 | + | 0.588252i | \(0.799816\pi\) | |||||||
\(788\) | −1.62970 | + | 5.55026i | −0.0580557 | + | 0.197720i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −22.0327 | − | 48.2448i | −0.783887 | − | 1.71647i | ||||
\(791\) | −19.8437 | + | 17.1946i | −0.705560 | + | 0.611371i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 2.84711 | + | 0.409353i | 0.101104 | + | 0.0145365i | ||||
\(794\) | 8.75826 | + | 1.25925i | 0.310819 | + | 0.0446891i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −4.88643 | + | 4.23412i | −0.173195 | + | 0.150074i | ||||
\(797\) | 1.30941 | + | 2.86721i | 0.0463817 | + | 0.101562i | 0.931404 | − | 0.363986i | \(-0.118585\pi\) |
−0.885023 | + | 0.465548i | \(0.845857\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.127592 | − | 0.434537i | 0.00451386 | − | 0.0153728i | ||||
\(800\) | 3.94335 | + | 3.41693i | 0.139419 | + | 0.120807i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 4.14501 | + | 1.89296i | 0.146365 | + | 0.0668428i | ||||
\(803\) | 7.10477 | + | 49.4148i | 0.250722 | + | 1.74381i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −14.0930 | + | 16.3476i | −0.496713 | + | 0.576176i | ||||
\(806\) | 7.91522i | 0.278802i | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 7.59916 | − | 16.6398i | 0.267338 | − | 0.585388i | ||||
\(809\) | −14.1074 | − | 48.0456i | −0.495991 | − | 1.68919i | −0.703281 | − | 0.710912i | \(-0.748282\pi\) |
0.207289 | − | 0.978280i | \(-0.433536\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 39.9506 | + | 11.7306i | 1.40286 | + | 0.411915i | 0.893663 | − | 0.448738i | \(-0.148126\pi\) |
0.509192 | + | 0.860653i | \(0.329944\pi\) | |||||||
\(812\) | 9.66748 | − | 6.21291i | 0.339262 | − | 0.218030i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 18.4751 | + | 21.3214i | 0.647552 | + | 0.747314i | ||||
\(815\) | 2.79495 | + | 1.79621i | 0.0979030 | + | 0.0629184i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.0606749 | − | 0.422003i | 0.00212275 | − | 0.0147640i | ||||
\(818\) | −20.0284 | + | 31.1648i | −0.700276 | + | 1.08965i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 32.5905 | − | 14.8836i | 1.13811 | − | 0.519757i | ||||
\(821\) | −11.7498 | − | 18.2830i | −0.410071 | − | 0.638083i | 0.573373 | − | 0.819294i | \(-0.305634\pi\) |
−0.983444 | + | 0.181212i | \(0.941998\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 23.9420 | − | 27.6306i | 0.834566 | − | 0.963141i | −0.165166 | − | 0.986266i | \(-0.552816\pi\) |
0.999733 | + | 0.0231248i | \(0.00736150\pi\) | |||||||
\(824\) | −15.4122 | + | 4.52542i | −0.536908 | + | 0.157650i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 15.8224 | − | 2.27492i | 0.550532 | − | 0.0791546i | ||||
\(827\) | 52.6442 | 1.83062 | 0.915309 | − | 0.402752i | \(-0.131946\pi\) | ||||
0.915309 | + | 0.402752i | \(0.131946\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 29.7388 | 1.03287 | 0.516436 | − | 0.856326i | \(-0.327258\pi\) | ||||
0.516436 | + | 0.856326i | \(0.327258\pi\) | |||||||
\(830\) | 6.43606 | − | 0.925366i | 0.223399 | − | 0.0321199i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.72834 | − | 0.507487i | 0.0599195 | − | 0.0175940i | ||||
\(833\) | −6.65678 | + | 7.68234i | −0.230644 | + | 0.266177i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −12.8565 | − | 20.0051i | −0.444918 | − | 0.692306i | ||||
\(836\) | −0.232082 | + | 0.105988i | −0.00802673 | + | 0.00366568i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −11.3623 | + | 17.6801i | −0.392504 | + | 0.610748i | ||||
\(839\) | −6.76805 | + | 47.0728i | −0.233659 | + | 1.62513i | 0.448398 | + | 0.893834i | \(0.351995\pi\) |
−0.682057 | + | 0.731299i | \(0.738914\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −31.6482 | − | 20.3391i | −1.09132 | − | 0.701347i | ||||
\(842\) | 8.68691 | + | 10.0252i | 0.299371 | + | 0.345492i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 6.41480 | − | 4.12254i | 0.220806 | − | 0.141904i | ||||
\(845\) | −29.9199 | − | 8.78528i | −1.02928 | − | 0.302223i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.96515 | − | 10.0984i | −0.101884 | − | 0.346984i | ||||
\(848\) | 0.957770 | − | 2.09722i | 0.0328899 | − | 0.0720189i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | − | 10.5705i | − | 0.362566i | ||||||
\(851\) | 4.55861 | + | 31.1461i | 0.156267 | + | 1.06767i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2.03530 | + | 14.1559i | 0.0696875 | + | 0.484687i | 0.994540 | + | 0.104360i | \(0.0332795\pi\) |
−0.924852 | + | 0.380327i | \(0.875811\pi\) | |||||||
\(854\) | −2.04507 | − | 0.933952i | −0.0699808 | − | 0.0319592i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −4.42363 | − | 3.83310i | −0.151196 | − | 0.131013i | ||||
\(857\) | −3.86923 | + | 13.1774i | −0.132170 | + | 0.450131i | −0.998808 | − | 0.0488067i | \(-0.984458\pi\) |
0.866638 | + | 0.498938i | \(0.166276\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 0.767765 | + | 1.68117i | 0.0261958 | + | 0.0573608i | 0.922278 | − | 0.386528i | \(-0.126326\pi\) |
−0.896082 | + | 0.443889i | \(0.853598\pi\) | |||||||
\(860\) | 17.3514 | − | 15.0351i | 0.591679 | − | 0.512692i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 4.28041 | + | 0.615429i | 0.145791 | + | 0.0209616i | ||||
\(863\) | 33.1533 | + | 4.76673i | 1.12855 | + | 0.162261i | 0.681200 | − | 0.732097i | \(-0.261458\pi\) |
0.447351 | + | 0.894358i | \(0.352367\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 36.8974 | − | 31.9718i | 1.25455 | − | 1.08707i | ||||
\(866\) | 2.84106 | + | 6.22106i | 0.0965432 | + | 0.211400i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.74299 | − | 5.93608i | 0.0591609 | − | 0.201484i | ||||
\(869\) | 53.8988 | + | 46.7036i | 1.82839 | + | 1.58431i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.34962 | + | 0.616350i | 0.0457301 | + | 0.0208842i | ||||
\(872\) | 1.31157 | + | 9.12218i | 0.0444154 | + | 0.308916i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.281876 | − | 0.0397998i | −0.00953460 | − | 0.00134625i | ||||
\(875\) | − | 0.980225i | − | 0.0331376i | ||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 2.60842 | − | 5.71164i | 0.0880800 | − | 0.192868i | −0.860466 | − | 0.509508i | \(-0.829827\pi\) |
0.948546 | + | 0.316640i | \(0.102555\pi\) | |||||||
\(878\) | −1.28820 | − | 4.38719i | −0.0434745 | − | 0.148061i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −13.1831 | − | 3.87089i | −0.444401 | − | 0.130488i | ||||
\(881\) | −27.6270 | + | 17.7548i | −0.930776 | + | 0.598174i | −0.915765 | − | 0.401714i | \(-0.868415\pi\) |
−0.0150110 | + | 0.999887i | \(0.504778\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −5.04941 | − | 5.82733i | −0.169926 | − | 0.196105i | 0.664399 | − | 0.747378i | \(-0.268688\pi\) |
−0.834325 | + | 0.551273i | \(0.814142\pi\) | |||||||
\(884\) | −3.06990 | − | 1.97291i | −0.103252 | − | 0.0663560i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 1.03954 | − | 7.23018i | 0.0349241 | − | 0.242903i | ||||
\(887\) | 5.59634 | − | 8.70807i | 0.187907 | − | 0.292388i | −0.734500 | − | 0.678609i | \(-0.762583\pi\) |
0.922407 | + | 0.386220i | \(0.126220\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −17.5609 | + | 8.01980i | −0.588974 | + | 0.268975i | ||||
\(890\) | 8.66458 | + | 13.4824i | 0.290437 | + | 0.451929i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −10.2456 | + | 11.8240i | −0.343047 | + | 0.395897i | ||||
\(893\) | 0.0127320 | − | 0.00373846i | 0.000426061 | − | 0.000125103i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −55.3117 | + | 7.95262i | −1.84886 | + | 0.265827i | ||||
\(896\) | −1.40794 | −0.0470358 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −12.3630 | −0.412558 | ||||||||
\(899\) | −35.5005 | + | 5.10421i | −1.18401 | + | 0.170235i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.48157 | + | 1.31591i | −0.149303 | + | 0.0438392i | ||||
\(902\) | −31.5493 | + | 36.4099i | −1.05048 | + | 1.21232i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −10.0825 | − | 15.6887i | −0.335340 | − | 0.521800i | ||||
\(905\) | −31.1543 | + | 14.2277i | −1.03560 | + | 0.472944i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 17.5520 | − | 27.3114i | 0.582805 | − | 0.906862i | −0.417194 | − | 0.908818i | \(-0.636986\pi\) |
0.999998 | + | 0.00195613i | \(0.000622656\pi\) | |||||||
\(908\) | 1.11176 | − | 7.73248i | 0.0368951 | − | 0.256611i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −6.81988 | − | 4.38287i | −0.226077 | − | 0.145291i | ||||
\(911\) | −18.0337 | − | 20.8121i | −0.597485 | − | 0.689534i | 0.373785 | − | 0.927515i | \(-0.378060\pi\) |
−0.971270 | + | 0.237981i | \(0.923514\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −7.35541 | + | 4.72703i | −0.243428 | + | 0.156442i | ||||
\(914\) | 25.6092 | + | 7.51954i | 0.847077 | + | 0.248724i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.75261 | + | 16.1859i | 0.157031 | + | 0.534797i | ||||
\(917\) | −2.33743 | + | 5.11825i | −0.0771887 | + | 0.169020i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 12.7876i | 0.421826i | 0.977505 | + | 0.210913i | \(0.0676436\pi\) | ||||
−0.977505 | + | 0.210913i | \(0.932356\pi\) | |||||||
\(920\) | −10.0683 | − | 11.5602i | −0.331942 | − | 0.381129i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −2.05486 | − | 14.2918i | −0.0676731 | − | 0.470676i | ||||
\(923\) | −17.6719 | − | 8.07049i | −0.581678 | − | 0.265644i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −25.8826 | − | 22.4274i | −0.851015 | − | 0.737408i | ||||
\(926\) | 1.54494 | − | 5.26159i | 0.0507700 | − | 0.172907i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 3.39067 | + | 7.42453i | 0.111304 | + | 0.243722i | ||||
\(929\) | −7.63753 | + | 6.61796i | −0.250579 | + | 0.217128i | −0.771089 | − | 0.636728i | \(-0.780288\pi\) |
0.520509 | + | 0.853856i | \(0.325742\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.294811 | − | 0.0423874i | −0.00966204 | − | 0.00138919i | ||||
\(932\) | 20.3739 | + | 2.92933i | 0.667370 | + | 0.0959533i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −18.0219 | + | 15.6161i | −0.589695 | + | 0.510974i | ||||
\(935\) | 11.5629 | + | 25.3192i | 0.378146 | + | 0.828025i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.85425 | + | 23.3434i | −0.223918 | + | 0.762596i | 0.768517 | + | 0.639829i | \(0.220995\pi\) |
−0.992436 | + | 0.122767i | \(0.960823\pi\) | |||||||
\(938\) | −0.876431 | − | 0.759432i | −0.0286165 | − | 0.0247963i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.650010 | + | 0.296850i | 0.0212010 | + | 0.00968217i | ||||
\(941\) | 6.14561 | + | 42.7436i | 0.200341 | + | 1.39340i | 0.803274 | + | 0.595610i | \(0.203090\pi\) |
−0.602933 | + | 0.797792i | \(0.706001\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −51.5380 | + | 15.2747i | −1.67831 | + | 0.497412i | ||||
\(944\) | 11.3536i | 0.369528i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −12.8250 | + | 28.0827i | −0.416975 | + | 0.913049i | ||||
\(947\) | −10.0096 | − | 34.0897i | −0.325270 | − | 1.10777i | −0.946114 | − | 0.323833i | \(-0.895028\pi\) |
0.620845 | − | 0.783934i | \(-0.286790\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −20.0740 | − | 5.89427i | −0.651631 | − | 0.191336i | ||||
\(950\) | 0.260552 | − | 0.167447i | 0.00845344 | − | 0.00543270i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.86785 | + | 2.15561i | 0.0605373 | + | 0.0698637i | ||||
\(953\) | 2.88855 | + | 1.85636i | 0.0935694 | + | 0.0601334i | 0.586589 | − | 0.809885i | \(-0.300470\pi\) |
−0.493019 | + | 0.870018i | \(0.664107\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −7.29648 | + | 50.7481i | −0.236108 | + | 1.64217i | ||||
\(956\) | 2.80467 | − | 4.36415i | 0.0907094 | − | 0.141147i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −2.55690 | + | 1.16770i | −0.0826096 | + | 0.0377265i | ||||
\(959\) | −9.24651 | − | 14.3878i | −0.298585 | − | 0.464608i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 7.65627 | − | 8.83581i | 0.246977 | − | 0.285026i | ||||
\(962\) | −11.3442 | + | 3.33095i | −0.365750 | + | 0.107394i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 12.3414 | − | 1.77442i | 0.397489 | − | 0.0571503i | ||||
\(965\) | 0.810963 | 0.0261058 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −48.3925 | −1.55620 | −0.778099 | − | 0.628141i | \(-0.783816\pi\) | ||||
−0.778099 | + | 0.628141i | \(0.783816\pi\) | |||||||
\(968\) | 7.39918 | − | 1.06384i | 0.237819 | − | 0.0341932i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 29.8924 | − | 8.77720i | 0.959787 | − | 0.281819i | ||||
\(971\) | −37.5348 | + | 43.3174i | −1.20455 | + | 1.39012i | −0.305547 | + | 0.952177i | \(0.598839\pi\) |
−0.899001 | + | 0.437946i | \(0.855706\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −1.89515 | − | 2.94891i | −0.0607557 | − | 0.0945378i | ||||
\(974\) | −2.74276 | + | 1.25258i | −0.0878836 | + | 0.0401351i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.863313 | − | 1.34334i | 0.0276340 | − | 0.0429993i | ||||
\(977\) | 4.26489 | − | 29.6630i | 0.136446 | − | 0.949003i | −0.800451 | − | 0.599398i | \(-0.795407\pi\) |
0.936897 | − | 0.349605i | \(-0.113684\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −18.1294 | − | 11.6510i | −0.579417 | − | 0.372368i | ||||
\(980\) | −10.5035 | − | 12.1217i | −0.335522 | − | 0.387213i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −10.3652 | + | 6.66131i | −0.330767 | + | 0.212571i | ||||
\(983\) | −11.2540 | − | 3.30447i | −0.358947 | − | 0.105396i | 0.0972867 | − | 0.995256i | \(-0.468984\pi\) |
−0.456233 | + | 0.889860i | \(0.650802\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 5.20939 | + | 17.7416i | 0.165985 | + | 0.565293i | ||||
\(986\) | 6.86902 | − | 15.0411i | 0.218754 | − | 0.479005i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | − | 0.106922i | − | 0.00340166i | ||||||
\(989\) | −28.9308 | + | 18.6963i | −0.919947 | + | 0.594509i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −2.08049 | − | 14.4701i | −0.0660890 | − | 0.459659i | −0.995814 | − | 0.0914042i | \(-0.970864\pi\) |
0.929725 | − | 0.368255i | \(-0.120045\pi\) | |||||||
\(992\) | 3.99706 | + | 1.82540i | 0.126907 | + | 0.0579564i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 11.4760 | + | 9.94401i | 0.363997 | + | 0.315405i | ||||
\(995\) | −5.82277 | + | 19.8305i | −0.184594 | + | 0.628670i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 14.5982 | + | 31.9656i | 0.462330 | + | 1.01236i | 0.986950 | + | 0.161025i | \(0.0514800\pi\) |
−0.524620 | + | 0.851336i | \(0.675793\pi\) | |||||||
\(998\) | −5.10502 | + | 4.42353i | −0.161597 | + | 0.140024i | ||||
\(999\) | 0 | 0 |
(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 | 414.2.j.a.89.4 | ✓ | 80 | |
3.2 | odd | 2 | inner | 414.2.j.a.89.5 | yes | 80 | |
23.15 | odd | 22 | inner | 414.2.j.a.107.5 | yes | 80 | |
69.38 | even | 22 | inner | 414.2.j.a.107.4 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
414.2.j.a.89.4 | ✓ | 80 | 1.1 | even | 1 | trivial | |
414.2.j.a.89.5 | yes | 80 | 3.2 | odd | 2 | inner | |
414.2.j.a.107.4 | yes | 80 | 69.38 | even | 22 | inner | |
414.2.j.a.107.5 | yes | 80 | 23.15 | odd | 22 | inner |