Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,3,Mod(44,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.44");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.o (of order \(6\), degree \(2\), 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: | \(2.86104277578\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 44.11 | ||
Character | \(\chi\) | \(=\) | 105.44 |
Dual form | 105.3.o.b.74.11 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0859580 | − | 0.148884i | 0.0429790 | − | 0.0744418i | −0.843736 | − | 0.536759i | \(-0.819648\pi\) |
0.886715 | + | 0.462317i | \(0.152982\pi\) | |||||||
\(3\) | −2.40718 | − | 1.79039i | −0.802392 | − | 0.596797i | ||||
\(4\) | 1.98522 | + | 3.43851i | 0.496306 | + | 0.859627i | ||||
\(5\) | −4.85467 | + | 1.19675i | −0.970933 | + | 0.239350i | ||||
\(6\) | −0.473476 | + | 0.204491i | −0.0789126 | + | 0.0340818i | ||||
\(7\) | −6.99566 | + | 0.246384i | −0.999380 | + | 0.0351977i | ||||
\(8\) | 1.37025 | 0.171281 | ||||||||
\(9\) | 2.58900 | + | 8.61957i | 0.287667 | + | 0.957730i | ||||
\(10\) | −0.239121 | + | 0.825650i | −0.0239121 | + | 0.0825650i | ||||
\(11\) | −10.0440 | + | 5.79890i | −0.913089 | + | 0.527172i | −0.881424 | − | 0.472326i | \(-0.843414\pi\) |
−0.0316655 | + | 0.999499i | \(0.510081\pi\) | |||||||
\(12\) | 1.37749 | − | 11.8314i | 0.114791 | − | 0.985951i | ||||
\(13\) | 7.34521i | 0.565016i | 0.959265 | + | 0.282508i | \(0.0911665\pi\) | ||||
−0.959265 | + | 0.282508i | \(0.908834\pi\) | |||||||
\(14\) | −0.564650 | + | 1.06272i | −0.0403322 | + | 0.0759084i | ||||
\(15\) | 13.8287 | + | 5.81096i | 0.921913 | + | 0.387397i | ||||
\(16\) | −7.82311 | + | 13.5500i | −0.488944 | + | 0.846876i | ||||
\(17\) | −2.30611 | − | 3.99429i | −0.135653 | − | 0.234958i | 0.790194 | − | 0.612857i | \(-0.209980\pi\) |
−0.925847 | + | 0.377899i | \(0.876647\pi\) | |||||||
\(18\) | 1.50586 | + | 0.355461i | 0.0836588 | + | 0.0197478i | ||||
\(19\) | 5.93904 | − | 10.2867i | 0.312581 | − | 0.541406i | −0.666339 | − | 0.745649i | \(-0.732140\pi\) |
0.978920 | + | 0.204242i | \(0.0654730\pi\) | |||||||
\(20\) | −13.7526 | − | 14.3170i | −0.687631 | − | 0.715849i | ||||
\(21\) | 17.2809 | + | 11.9319i | 0.822901 | + | 0.568185i | ||||
\(22\) | 1.99385i | 0.0906293i | ||||||||
\(23\) | −11.8464 | + | 20.5186i | −0.515061 | + | 0.892111i | 0.484786 | + | 0.874633i | \(0.338897\pi\) |
−0.999847 | + | 0.0174789i | \(0.994436\pi\) | |||||||
\(24\) | −3.29843 | − | 2.45328i | −0.137434 | − | 0.102220i | ||||
\(25\) | 22.1356 | − | 11.6196i | 0.885423 | − | 0.464786i | ||||
\(26\) | 1.09358 | + | 0.631380i | 0.0420608 | + | 0.0242838i | ||||
\(27\) | 9.20022 | − | 25.3842i | 0.340749 | − | 0.940154i | ||||
\(28\) | −14.7351 | − | 23.5655i | −0.526255 | − | 0.841625i | ||||
\(29\) | − | 32.7592i | − | 1.12963i | −0.825219 | − | 0.564813i | \(-0.808948\pi\) | ||
0.825219 | − | 0.564813i | \(-0.191052\pi\) | |||||||
\(30\) | 2.05384 | − | 1.55937i | 0.0684614 | − | 0.0519789i | ||||
\(31\) | −23.4865 | − | 40.6798i | −0.757629 | − | 1.31225i | −0.944057 | − | 0.329784i | \(-0.893024\pi\) |
0.186427 | − | 0.982469i | \(-0.440309\pi\) | |||||||
\(32\) | 4.08541 | + | 7.07614i | 0.127669 | + | 0.221129i | ||||
\(33\) | 34.5599 | + | 4.02368i | 1.04727 | + | 0.121930i | ||||
\(34\) | −0.792913 | −0.0233210 | ||||||||
\(35\) | 33.6668 | − | 9.56817i | 0.961907 | − | 0.273376i | ||||
\(36\) | −24.4987 | + | 26.0141i | −0.680520 | + | 0.722613i | ||||
\(37\) | 41.2822 | + | 23.8343i | 1.11573 | + | 0.644170i | 0.940309 | − | 0.340323i | \(-0.110536\pi\) |
0.175426 | + | 0.984493i | \(0.443870\pi\) | |||||||
\(38\) | −1.02102 | − | 1.76845i | −0.0268688 | − | 0.0465382i | ||||
\(39\) | 13.1508 | − | 17.6812i | 0.337200 | − | 0.453365i | ||||
\(40\) | −6.65209 | + | 1.63984i | −0.166302 | + | 0.0409961i | ||||
\(41\) | 70.7266i | 1.72504i | 0.506024 | + | 0.862520i | \(0.331115\pi\) | ||||
−0.506024 | + | 0.862520i | \(0.668885\pi\) | |||||||
\(42\) | 3.26189 | − | 1.54721i | 0.0776641 | − | 0.0368382i | ||||
\(43\) | 14.1244i | 0.328474i | 0.986421 | + | 0.164237i | \(0.0525162\pi\) | ||||
−0.986421 | + | 0.164237i | \(0.947484\pi\) | |||||||
\(44\) | −39.8791 | − | 23.0242i | −0.906343 | − | 0.523277i | ||||
\(45\) | −22.8842 | − | 38.7468i | −0.508538 | − | 0.861039i | ||||
\(46\) | 2.03658 | + | 3.52747i | 0.0442736 | + | 0.0766841i | ||||
\(47\) | −26.1140 | + | 45.2307i | −0.555616 | + | 0.962356i | 0.442239 | + | 0.896897i | \(0.354184\pi\) |
−0.997855 | + | 0.0654585i | \(0.979149\pi\) | |||||||
\(48\) | 43.0914 | − | 18.6109i | 0.897738 | − | 0.387727i | ||||
\(49\) | 48.8786 | − | 3.44723i | 0.997522 | − | 0.0703517i | ||||
\(50\) | 0.172755 | − | 4.29442i | 0.00345509 | − | 0.0858885i | ||||
\(51\) | −1.60014 | + | 13.7438i | −0.0313753 | + | 0.269486i | ||||
\(52\) | −25.2566 | + | 14.5819i | −0.485703 | + | 0.280421i | ||||
\(53\) | −11.5105 | − | 19.9368i | −0.217179 | − | 0.376166i | 0.736765 | − | 0.676149i | \(-0.236352\pi\) |
−0.953945 | + | 0.299983i | \(0.903019\pi\) | |||||||
\(54\) | −2.98845 | − | 3.55173i | −0.0553417 | − | 0.0657728i | ||||
\(55\) | 41.8204 | − | 40.1718i | 0.760370 | − | 0.730397i | ||||
\(56\) | −9.58578 | + | 0.337606i | −0.171175 | + | 0.00602868i | ||||
\(57\) | −32.7136 | + | 14.1288i | −0.573922 | + | 0.247873i | ||||
\(58\) | −4.87730 | − | 2.81591i | −0.0840914 | − | 0.0485502i | ||||
\(59\) | 1.09721 | − | 0.633473i | 0.0185967 | − | 0.0107368i | −0.490673 | − | 0.871344i | \(-0.663249\pi\) |
0.509270 | + | 0.860607i | \(0.329916\pi\) | |||||||
\(60\) | 7.47201 | + | 59.0861i | 0.124534 | + | 0.984768i | ||||
\(61\) | −32.3278 | + | 55.9933i | −0.529963 | + | 0.917923i | 0.469426 | + | 0.882972i | \(0.344461\pi\) |
−0.999389 | + | 0.0349515i | \(0.988872\pi\) | |||||||
\(62\) | −8.07541 | −0.130249 | ||||||||
\(63\) | −20.2355 | − | 59.6617i | −0.321199 | − | 0.947012i | ||||
\(64\) | −61.1802 | −0.955940 | ||||||||
\(65\) | −8.79039 | − | 35.6586i | −0.135237 | − | 0.548593i | ||||
\(66\) | 3.56976 | − | 4.79954i | 0.0540873 | − | 0.0727203i | ||||
\(67\) | 17.1764 | − | 9.91678i | 0.256364 | − | 0.148012i | −0.366311 | − | 0.930493i | \(-0.619379\pi\) |
0.622675 | + | 0.782481i | \(0.286046\pi\) | |||||||
\(68\) | 9.15627 | − | 15.8591i | 0.134651 | − | 0.233222i | ||||
\(69\) | 65.2526 | − | 28.1821i | 0.945690 | − | 0.408437i | ||||
\(70\) | 1.46938 | − | 5.83489i | 0.0209912 | − | 0.0833555i | ||||
\(71\) | 48.1993i | 0.678863i | 0.940631 | + | 0.339432i | \(0.110235\pi\) | ||||
−0.940631 | + | 0.339432i | \(0.889765\pi\) | |||||||
\(72\) | 3.54757 | + | 11.8109i | 0.0492718 | + | 0.164041i | ||||
\(73\) | −107.763 | + | 62.2168i | −1.47620 | + | 0.852285i | −0.999639 | − | 0.0268558i | \(-0.991451\pi\) |
−0.476562 | + | 0.879141i | \(0.658117\pi\) | |||||||
\(74\) | 7.09706 | − | 4.09749i | 0.0959063 | − | 0.0553715i | ||||
\(75\) | −74.0880 | − | 11.6608i | −0.987840 | − | 0.155477i | ||||
\(76\) | 47.1613 | 0.620543 | ||||||||
\(77\) | 68.8356 | − | 43.0418i | 0.893968 | − | 0.558984i | ||||
\(78\) | −1.50203 | − | 3.47778i | −0.0192568 | − | 0.0445869i | ||||
\(79\) | −34.4509 | + | 59.6707i | −0.436087 | + | 0.755325i | −0.997384 | − | 0.0722896i | \(-0.976969\pi\) |
0.561296 | + | 0.827615i | \(0.310303\pi\) | |||||||
\(80\) | 21.7626 | − | 75.1431i | 0.272032 | − | 0.939289i | ||||
\(81\) | −67.5941 | + | 44.6322i | −0.834495 | + | 0.551015i | ||||
\(82\) | 10.5300 | + | 6.07951i | 0.128415 | + | 0.0741404i | ||||
\(83\) | 35.8731 | 0.432206 | 0.216103 | − | 0.976371i | \(-0.430665\pi\) | ||||
0.216103 | + | 0.976371i | \(0.430665\pi\) | |||||||
\(84\) | −6.72137 | + | 83.1080i | −0.0800163 | + | 0.989381i | ||||
\(85\) | 15.9756 | + | 16.6311i | 0.187948 | + | 0.195660i | ||||
\(86\) | 2.10289 | + | 1.21410i | 0.0244522 | + | 0.0141175i | ||||
\(87\) | −58.6517 | + | 78.8571i | −0.674158 | + | 0.906404i | ||||
\(88\) | −13.7627 | + | 7.94592i | −0.156395 | + | 0.0902945i | ||||
\(89\) | 110.539 | + | 63.8196i | 1.24201 | + | 0.717074i | 0.969503 | − | 0.245080i | \(-0.0788143\pi\) |
0.272506 | + | 0.962154i | \(0.412148\pi\) | |||||||
\(90\) | −7.73584 | + | 0.0764914i | −0.0859538 | + | 0.000849904i | ||||
\(91\) | −1.80974 | − | 51.3846i | −0.0198873 | − | 0.564666i | ||||
\(92\) | −94.0709 | −1.02251 | ||||||||
\(93\) | −16.2966 | + | 139.974i | −0.175232 | + | 1.50509i | ||||
\(94\) | 4.48941 | + | 7.77588i | 0.0477597 | + | 0.0827221i | ||||
\(95\) | −16.5214 | + | 57.0462i | −0.173910 | + | 0.600486i | ||||
\(96\) | 2.83474 | − | 24.3480i | 0.0295286 | − | 0.253625i | ||||
\(97\) | − | 26.9526i | − | 0.277862i | −0.990302 | − | 0.138931i | \(-0.955633\pi\) | ||
0.990302 | − | 0.138931i | \(-0.0443666\pi\) | |||||||
\(98\) | 3.68827 | − | 7.57354i | 0.0376354 | − | 0.0772810i | ||||
\(99\) | −75.9879 | − | 71.5615i | −0.767555 | − | 0.722843i | ||||
\(100\) | 83.8983 | + | 53.0457i | 0.838983 | + | 0.530457i | ||||
\(101\) | 15.8571 | − | 9.15508i | 0.157001 | − | 0.0906444i | −0.419441 | − | 0.907782i | \(-0.637774\pi\) |
0.576442 | + | 0.817138i | \(0.304441\pi\) | |||||||
\(102\) | 1.90868 | + | 1.41962i | 0.0187126 | + | 0.0139179i | ||||
\(103\) | −26.9167 | − | 15.5404i | −0.261327 | − | 0.150877i | 0.363613 | − | 0.931550i | \(-0.381543\pi\) |
−0.624940 | + | 0.780673i | \(0.714877\pi\) | |||||||
\(104\) | 10.0648i | 0.0967765i | ||||||||
\(105\) | −98.1726 | − | 37.2443i | −0.934977 | − | 0.354708i | ||||
\(106\) | −3.95768 | −0.0373366 | ||||||||
\(107\) | 91.2333 | − | 158.021i | 0.852648 | − | 1.47683i | −0.0261619 | − | 0.999658i | \(-0.508329\pi\) |
0.878810 | − | 0.477172i | \(-0.158338\pi\) | |||||||
\(108\) | 105.548 | − | 18.7582i | 0.977297 | − | 0.173687i | ||||
\(109\) | 17.0498 | + | 29.5311i | 0.156420 | + | 0.270928i | 0.933575 | − | 0.358381i | \(-0.116671\pi\) |
−0.777155 | + | 0.629309i | \(0.783338\pi\) | |||||||
\(110\) | −2.38614 | − | 9.67945i | −0.0216921 | − | 0.0879950i | ||||
\(111\) | −56.7009 | − | 131.285i | −0.510819 | − | 1.18274i | ||||
\(112\) | 51.3893 | − | 96.7188i | 0.458833 | − | 0.863561i | ||||
\(113\) | 64.0417 | 0.566740 | 0.283370 | − | 0.959011i | \(-0.408547\pi\) | ||||
0.283370 | + | 0.959011i | \(0.408547\pi\) | |||||||
\(114\) | −0.708453 | + | 6.08499i | −0.00621450 | + | 0.0533771i | ||||
\(115\) | 32.9547 | − | 113.788i | 0.286563 | − | 0.989461i | ||||
\(116\) | 112.643 | − | 65.0342i | 0.971057 | − | 0.560640i | ||||
\(117\) | −63.3126 | + | 19.0168i | −0.541134 | + | 0.162537i | ||||
\(118\) | − | 0.217808i | − | 0.00184583i | ||||||
\(119\) | 17.1169 | + | 27.3745i | 0.143839 | + | 0.230038i | ||||
\(120\) | 18.9487 | + | 7.96245i | 0.157906 | + | 0.0663537i | ||||
\(121\) | 6.75440 | − | 11.6990i | 0.0558215 | − | 0.0966857i | ||||
\(122\) | 5.55766 | + | 9.62615i | 0.0455546 | + | 0.0789028i | ||||
\(123\) | 126.628 | − | 170.251i | 1.02950 | − | 1.38416i | ||||
\(124\) | 93.2519 | − | 161.517i | 0.752031 | − | 1.30256i | ||||
\(125\) | −93.5550 | + | 82.9003i | −0.748440 | + | 0.663202i | ||||
\(126\) | −10.6221 | − | 2.11567i | −0.0843020 | − | 0.0167910i | ||||
\(127\) | − | 131.997i | − | 1.03934i | −0.854366 | − | 0.519672i | \(-0.826054\pi\) | ||
0.854366 | − | 0.519672i | \(-0.173946\pi\) | |||||||
\(128\) | −21.6006 | + | 37.4133i | −0.168754 | + | 0.292291i | ||||
\(129\) | 25.2882 | − | 33.9999i | 0.196032 | − | 0.263565i | ||||
\(130\) | −6.06458 | − | 1.75639i | −0.0466506 | − | 0.0135107i | ||||
\(131\) | −69.4990 | − | 40.1253i | −0.530527 | − | 0.306300i | 0.210704 | − | 0.977550i | \(-0.432424\pi\) |
−0.741231 | + | 0.671250i | \(0.765758\pi\) | |||||||
\(132\) | 54.7737 | + | 126.822i | 0.414952 | + | 0.960776i | ||||
\(133\) | −39.0131 | + | 73.4257i | −0.293331 | + | 0.552073i | ||||
\(134\) | − | 3.40971i | − | 0.0254456i | ||||||
\(135\) | −14.2855 | + | 134.242i | −0.105818 | + | 0.994385i | ||||
\(136\) | −3.15993 | − | 5.47317i | −0.0232348 | − | 0.0402439i | ||||
\(137\) | 77.7452 | + | 134.659i | 0.567483 | + | 0.982909i | 0.996814 | + | 0.0797620i | \(0.0254160\pi\) |
−0.429331 | + | 0.903147i | \(0.641251\pi\) | |||||||
\(138\) | 1.41313 | − | 12.1375i | 0.0102400 | − | 0.0879530i | ||||
\(139\) | −131.310 | −0.944678 | −0.472339 | − | 0.881417i | \(-0.656590\pi\) | ||||
−0.472339 | + | 0.881417i | \(0.656590\pi\) | |||||||
\(140\) | 99.7362 | + | 96.7684i | 0.712401 | + | 0.691203i | ||||
\(141\) | 143.842 | − | 62.1242i | 1.02015 | − | 0.440597i | ||||
\(142\) | 7.17608 | + | 4.14311i | 0.0505358 | + | 0.0291768i | ||||
\(143\) | −42.5941 | − | 73.7752i | −0.297861 | − | 0.515911i | ||||
\(144\) | −137.049 | − | 32.3508i | −0.951732 | − | 0.224658i | ||||
\(145\) | 39.2045 | + | 159.035i | 0.270376 | + | 1.09679i | ||||
\(146\) | 21.3921i | 0.146521i | ||||||||
\(147\) | −123.831 | − | 79.2137i | −0.842390 | − | 0.538868i | ||||
\(148\) | 189.265i | 1.27882i | ||||||||
\(149\) | −81.9236 | − | 47.2986i | −0.549823 | − | 0.317440i | 0.199228 | − | 0.979953i | \(-0.436157\pi\) |
−0.749050 | + | 0.662513i | \(0.769490\pi\) | |||||||
\(150\) | −8.10455 | + | 10.0281i | −0.0540303 | + | 0.0668543i | ||||
\(151\) | 14.8293 | + | 25.6851i | 0.0982074 | + | 0.170100i | 0.910943 | − | 0.412533i | \(-0.135356\pi\) |
−0.812735 | + | 0.582633i | \(0.802022\pi\) | |||||||
\(152\) | 8.13795 | − | 14.0953i | 0.0535392 | − | 0.0927325i | ||||
\(153\) | 28.4586 | − | 30.2189i | 0.186004 | − | 0.197509i | ||||
\(154\) | −0.491251 | − | 13.9483i | −0.00318994 | − | 0.0905732i | ||||
\(155\) | 162.703 | + | 169.379i | 1.04970 | + | 1.09277i | ||||
\(156\) | 86.9043 | + | 10.1179i | 0.557079 | + | 0.0648586i | ||||
\(157\) | 39.7991 | − | 22.9780i | 0.253497 | − | 0.146357i | −0.367867 | − | 0.929878i | \(-0.619912\pi\) |
0.621365 | + | 0.783522i | \(0.286579\pi\) | |||||||
\(158\) | 5.92266 | + | 10.2583i | 0.0374852 | + | 0.0649262i | ||||
\(159\) | −7.98680 | + | 68.5997i | −0.0502314 | + | 0.431444i | ||||
\(160\) | −28.3017 | − | 29.4631i | −0.176885 | − | 0.184144i | ||||
\(161\) | 77.8180 | − | 146.460i | 0.483341 | − | 0.909688i | ||||
\(162\) | 0.834748 | + | 13.9001i | 0.00515277 | + | 0.0858034i | ||||
\(163\) | −184.229 | − | 106.364i | −1.13024 | − | 0.652542i | −0.186242 | − | 0.982504i | \(-0.559631\pi\) |
−0.943994 | + | 0.329962i | \(0.892964\pi\) | |||||||
\(164\) | −243.194 | + | 140.408i | −1.48289 | + | 0.856147i | ||||
\(165\) | −172.592 | + | 21.8260i | −1.04601 | + | 0.132279i | ||||
\(166\) | 3.08358 | − | 5.34092i | 0.0185758 | − | 0.0321742i | ||||
\(167\) | −11.5544 | −0.0691879 | −0.0345940 | − | 0.999401i | \(-0.511014\pi\) | ||||
−0.0345940 | + | 0.999401i | \(0.511014\pi\) | |||||||
\(168\) | 23.6791 | + | 16.3496i | 0.140947 | + | 0.0973191i | ||||
\(169\) | 115.048 | 0.680756 | ||||||||
\(170\) | 3.84933 | − | 0.948919i | 0.0226431 | − | 0.00558188i | ||||
\(171\) | 104.043 | + | 24.5597i | 0.608441 | + | 0.143624i | ||||
\(172\) | −48.5668 | + | 28.0401i | −0.282365 | + | 0.163024i | ||||
\(173\) | 1.95332 | − | 3.38324i | 0.0112908 | − | 0.0195563i | −0.860325 | − | 0.509746i | \(-0.829739\pi\) |
0.871616 | + | 0.490190i | \(0.163073\pi\) | |||||||
\(174\) | 6.69895 | + | 15.5107i | 0.0384997 | + | 0.0891418i | ||||
\(175\) | −151.990 | + | 86.7410i | −0.868515 | + | 0.495663i | ||||
\(176\) | − | 181.462i | − | 1.03103i | ||||||
\(177\) | −3.77534 | − | 0.439548i | −0.0213296 | − | 0.00248332i | ||||
\(178\) | 19.0034 | − | 10.9716i | 0.106761 | − | 0.0616382i | ||||
\(179\) | 190.707 | − | 110.105i | 1.06540 | − | 0.615110i | 0.138480 | − | 0.990365i | \(-0.455778\pi\) |
0.926921 | + | 0.375256i | \(0.122445\pi\) | |||||||
\(180\) | 87.8007 | − | 155.609i | 0.487782 | − | 0.864492i | ||||
\(181\) | 77.8562 | 0.430145 | 0.215072 | − | 0.976598i | \(-0.431001\pi\) | ||||
0.215072 | + | 0.976598i | \(0.431001\pi\) | |||||||
\(182\) | −7.80589 | − | 4.14748i | −0.0428895 | − | 0.0227883i | ||||
\(183\) | 178.069 | − | 76.9065i | 0.973052 | − | 0.420254i | ||||
\(184\) | −16.2325 | + | 28.1155i | −0.0882200 | + | 0.152802i | ||||
\(185\) | −228.935 | − | 66.3030i | −1.23749 | − | 0.358395i | ||||
\(186\) | 19.4389 | + | 14.4581i | 0.104510 | + | 0.0777319i | ||||
\(187\) | 46.3250 | + | 26.7457i | 0.247727 | + | 0.143025i | ||||
\(188\) | −207.368 | −1.10302 | ||||||||
\(189\) | −58.1074 | + | 179.846i | −0.307446 | + | 0.951565i | ||||
\(190\) | 7.07309 | + | 7.36334i | 0.0372268 | + | 0.0387544i | ||||
\(191\) | −205.885 | − | 118.868i | −1.07793 | − | 0.622345i | −0.147594 | − | 0.989048i | \(-0.547153\pi\) |
−0.930338 | + | 0.366703i | \(0.880486\pi\) | |||||||
\(192\) | 147.271 | + | 109.536i | 0.767039 | + | 0.570502i | ||||
\(193\) | −182.727 | + | 105.498i | −0.946773 | + | 0.546620i | −0.892077 | − | 0.451883i | \(-0.850752\pi\) |
−0.0546961 | + | 0.998503i | \(0.517419\pi\) | |||||||
\(194\) | −4.01279 | − | 2.31679i | −0.0206845 | − | 0.0119422i | ||||
\(195\) | −42.6827 | + | 101.575i | −0.218886 | + | 0.520896i | ||||
\(196\) | 108.888 | + | 161.226i | 0.555552 | + | 0.822581i | ||||
\(197\) | −378.734 | −1.92251 | −0.961253 | − | 0.275667i | \(-0.911101\pi\) | ||||
−0.961253 | + | 0.275667i | \(0.911101\pi\) | |||||||
\(198\) | −17.1861 | + | 5.16207i | −0.0867985 | + | 0.0260711i | ||||
\(199\) | 95.2314 | + | 164.946i | 0.478550 | + | 0.828873i | 0.999698 | − | 0.0245938i | \(-0.00782923\pi\) |
−0.521148 | + | 0.853467i | \(0.674496\pi\) | |||||||
\(200\) | 30.3312 | − | 15.9218i | 0.151656 | − | 0.0796089i | ||||
\(201\) | −59.1015 | − | 6.88096i | −0.294037 | − | 0.0342336i | ||||
\(202\) | − | 3.14781i | − | 0.0155832i | ||||||
\(203\) | 8.07132 | + | 229.172i | 0.0397602 | + | 1.12893i | ||||
\(204\) | −50.4348 | + | 21.7824i | −0.247229 | + | 0.106777i | ||||
\(205\) | −84.6421 | − | 343.354i | −0.412888 | − | 1.67490i | ||||
\(206\) | −4.62741 | + | 2.67164i | −0.0224632 | + | 0.0129691i | ||||
\(207\) | −207.532 | − | 48.9883i | −1.00257 | − | 0.236658i | ||||
\(208\) | −99.5278 | − | 57.4624i | −0.478499 | − | 0.276262i | ||||
\(209\) | 137.760i | 0.659137i | ||||||||
\(210\) | −13.9838 | + | 11.4148i | −0.0665895 | + | 0.0543564i | ||||
\(211\) | 56.9073 | 0.269703 | 0.134851 | − | 0.990866i | \(-0.456944\pi\) | ||||
0.134851 | + | 0.990866i | \(0.456944\pi\) | |||||||
\(212\) | 45.7018 | − | 79.1579i | 0.215575 | − | 0.373386i | ||||
\(213\) | 86.2955 | − | 116.024i | 0.405143 | − | 0.544715i | ||||
\(214\) | −15.6845 | − | 27.1663i | −0.0732919 | − | 0.126945i | ||||
\(215\) | −16.9034 | − | 68.5692i | −0.0786203 | − | 0.318927i | ||||
\(216\) | 12.6066 | − | 34.7826i | 0.0583637 | − | 0.161030i | ||||
\(217\) | 174.327 | + | 278.796i | 0.803348 | + | 1.28477i | ||||
\(218\) | 5.86227 | 0.0268911 | ||||||||
\(219\) | 370.796 | + | 43.1704i | 1.69313 | + | 0.197125i | ||||
\(220\) | 221.154 | + | 64.0495i | 1.00524 | + | 0.291134i | ||||
\(221\) | 29.3389 | − | 16.9388i | 0.132755 | − | 0.0766464i | ||||
\(222\) | −24.4200 | − | 2.84313i | −0.110000 | − | 0.0128069i | ||||
\(223\) | 105.559i | 0.473357i | 0.971588 | + | 0.236679i | \(0.0760589\pi\) | ||||
−0.971588 | + | 0.236679i | \(0.923941\pi\) | |||||||
\(224\) | −30.3236 | − | 48.4957i | −0.135373 | − | 0.216499i | ||||
\(225\) | 157.465 | + | 160.716i | 0.699847 | + | 0.714293i | ||||
\(226\) | 5.50489 | − | 9.53475i | 0.0243579 | − | 0.0421892i | ||||
\(227\) | 193.360 | + | 334.909i | 0.851805 | + | 1.47537i | 0.879577 | + | 0.475756i | \(0.157825\pi\) |
−0.0277721 | + | 0.999614i | \(0.508841\pi\) | |||||||
\(228\) | −113.526 | − | 84.4371i | −0.497919 | − | 0.370338i | ||||
\(229\) | −14.0913 | + | 24.4068i | −0.0615340 | + | 0.106580i | −0.895151 | − | 0.445762i | \(-0.852933\pi\) |
0.833617 | + | 0.552343i | \(0.186266\pi\) | |||||||
\(230\) | −14.1084 | − | 14.6874i | −0.0613410 | − | 0.0638582i | ||||
\(231\) | −242.761 | − | 19.6333i | −1.05091 | − | 0.0849927i | ||||
\(232\) | − | 44.8881i | − | 0.193483i | ||||||
\(233\) | 171.016 | − | 296.208i | 0.733974 | − | 1.27128i | −0.221199 | − | 0.975229i | \(-0.570997\pi\) |
0.955172 | − | 0.296051i | \(-0.0956698\pi\) | |||||||
\(234\) | −2.61094 | + | 11.0609i | −0.0111579 | + | 0.0472686i | ||||
\(235\) | 72.6447 | − | 250.832i | 0.309127 | − | 1.06737i | ||||
\(236\) | 4.35640 | + | 2.51517i | 0.0184593 | + | 0.0106575i | ||||
\(237\) | 189.763 | − | 81.9574i | 0.800689 | − | 0.345812i | ||||
\(238\) | 5.54695 | − | 0.195361i | 0.0233065 | − | 0.000820844i | ||||
\(239\) | 105.588i | 0.441791i | 0.975298 | + | 0.220895i | \(0.0708979\pi\) | ||||
−0.975298 | + | 0.220895i | \(0.929102\pi\) | |||||||
\(240\) | −186.922 | + | 141.919i | −0.778841 | + | 0.591330i | ||||
\(241\) | −9.53578 | − | 16.5165i | −0.0395675 | − | 0.0685330i | 0.845563 | − | 0.533875i | \(-0.179265\pi\) |
−0.885131 | + | 0.465342i | \(0.845931\pi\) | |||||||
\(242\) | −1.16119 | − | 2.01124i | −0.00479830 | − | 0.00831090i | ||||
\(243\) | 242.620 | + | 13.5823i | 0.998437 | + | 0.0558941i | ||||
\(244\) | −256.711 | −1.05210 | ||||||||
\(245\) | −233.164 | + | 75.2306i | −0.951689 | + | 0.307064i | ||||
\(246\) | −14.4629 | − | 33.4873i | −0.0587924 | − | 0.136127i | ||||
\(247\) | 75.5582 | + | 43.6235i | 0.305904 | + | 0.176614i | ||||
\(248\) | −32.1823 | − | 55.7414i | −0.129767 | − | 0.224764i | ||||
\(249\) | −86.3529 | − | 64.2269i | −0.346799 | − | 0.257939i | ||||
\(250\) | 4.30069 | + | 21.0547i | 0.0172028 | + | 0.0842190i | ||||
\(251\) | − | 222.387i | − | 0.886003i | −0.896521 | − | 0.443001i | \(-0.853914\pi\) | ||
0.896521 | − | 0.443001i | \(-0.146086\pi\) | |||||||
\(252\) | 164.975 | − | 188.022i | 0.654664 | − | 0.746118i | ||||
\(253\) | − | 274.784i | − | 1.08610i | ||||||
\(254\) | −19.6521 | − | 11.3462i | −0.0773706 | − | 0.0446699i | ||||
\(255\) | −8.67976 | − | 68.6366i | −0.0340383 | − | 0.269163i | ||||
\(256\) | −118.647 | − | 205.502i | −0.463464 | − | 0.802744i | ||||
\(257\) | −182.147 | + | 315.488i | −0.708743 | + | 1.22758i | 0.256581 | + | 0.966523i | \(0.417404\pi\) |
−0.965324 | + | 0.261056i | \(0.915929\pi\) | |||||||
\(258\) | −2.88831 | − | 6.68756i | −0.0111950 | − | 0.0259208i | ||||
\(259\) | −294.669 | − | 156.565i | −1.13772 | − | 0.604499i | ||||
\(260\) | 105.161 | − | 101.016i | 0.404467 | − | 0.388523i | ||||
\(261\) | 282.370 | − | 84.8136i | 1.08188 | − | 0.324956i | ||||
\(262\) | −11.9480 | + | 6.89817i | −0.0456030 | + | 0.0263289i | ||||
\(263\) | 181.221 | + | 313.884i | 0.689054 | + | 1.19348i | 0.972144 | + | 0.234383i | \(0.0753070\pi\) |
−0.283090 | + | 0.959093i | \(0.591360\pi\) | |||||||
\(264\) | 47.3556 | + | 5.51344i | 0.179377 | + | 0.0208842i | ||||
\(265\) | 79.7390 | + | 83.0112i | 0.300902 | + | 0.313250i | ||||
\(266\) | 7.57840 | + | 12.1199i | 0.0284902 | + | 0.0455636i | ||||
\(267\) | −151.824 | − | 351.533i | −0.568631 | − | 1.31660i | ||||
\(268\) | 68.1978 | + | 39.3740i | 0.254470 | + | 0.146918i | ||||
\(269\) | 274.148 | − | 158.279i | 1.01914 | − | 0.588399i | 0.105283 | − | 0.994442i | \(-0.466425\pi\) |
0.913854 | + | 0.406043i | \(0.133092\pi\) | |||||||
\(270\) | 18.7585 | + | 13.6660i | 0.0694759 | + | 0.0506150i | ||||
\(271\) | 24.8208 | − | 42.9910i | 0.0915898 | − | 0.158638i | −0.816590 | − | 0.577218i | \(-0.804138\pi\) |
0.908180 | + | 0.418579i | \(0.137472\pi\) | |||||||
\(272\) | 72.1637 | 0.265308 | ||||||||
\(273\) | −87.6422 | + | 126.932i | −0.321034 | + | 0.464953i | ||||
\(274\) | 26.7313 | 0.0975594 | ||||||||
\(275\) | −154.948 | + | 245.069i | −0.563448 | + | 0.891162i | ||||
\(276\) | 226.445 | + | 168.424i | 0.820454 | + | 0.610231i | ||||
\(277\) | 95.4077 | − | 55.0836i | 0.344432 | − | 0.198858i | −0.317798 | − | 0.948158i | \(-0.602943\pi\) |
0.662230 | + | 0.749300i | \(0.269610\pi\) | |||||||
\(278\) | −11.2872 | + | 19.5499i | −0.0406013 | + | 0.0703235i | ||||
\(279\) | 289.836 | − | 307.764i | 1.03884 | − | 1.10310i | ||||
\(280\) | 46.1317 | − | 13.1108i | 0.164756 | − | 0.0468241i | ||||
\(281\) | 400.249i | 1.42437i | 0.701990 | + | 0.712187i | \(0.252295\pi\) | ||||
−0.701990 | + | 0.712187i | \(0.747705\pi\) | |||||||
\(282\) | 3.11507 | − | 26.7557i | 0.0110463 | − | 0.0948784i | ||||
\(283\) | 277.081 | − | 159.973i | 0.979086 | − | 0.565276i | 0.0770921 | − | 0.997024i | \(-0.475436\pi\) |
0.901994 | + | 0.431748i | \(0.142103\pi\) | |||||||
\(284\) | −165.734 | + | 95.6863i | −0.583569 | + | 0.336924i | ||||
\(285\) | 141.905 | − | 107.740i | 0.497912 | − | 0.378036i | ||||
\(286\) | −14.6452 | −0.0512071 | ||||||||
\(287\) | −17.4259 | − | 494.779i | −0.0607173 | − | 1.72397i | ||||
\(288\) | −50.4161 | + | 53.5346i | −0.175056 | + | 0.185884i | ||||
\(289\) | 133.864 | − | 231.859i | 0.463196 | − | 0.802280i | ||||
\(290\) | 27.0476 | + | 7.83340i | 0.0932676 | + | 0.0270117i | ||||
\(291\) | −48.2556 | + | 64.8796i | −0.165827 | + | 0.222954i | ||||
\(292\) | −427.866 | − | 247.028i | −1.46529 | − | 0.845988i | ||||
\(293\) | −328.719 | −1.12191 | −0.560954 | − | 0.827847i | \(-0.689566\pi\) | ||||
−0.560954 | + | 0.827847i | \(0.689566\pi\) | |||||||
\(294\) | −22.4379 | + | 11.6274i | −0.0763194 | + | 0.0395490i | ||||
\(295\) | −4.56847 | + | 4.38838i | −0.0154863 | + | 0.0148759i | ||||
\(296\) | 56.5668 | + | 32.6588i | 0.191104 | + | 0.110334i | ||||
\(297\) | 54.7933 | + | 308.309i | 0.184489 | + | 1.03808i | ||||
\(298\) | −14.0840 | + | 8.13138i | −0.0472616 | + | 0.0272865i | ||||
\(299\) | −150.713 | − | 87.0143i | −0.504058 | − | 0.291018i | ||||
\(300\) | −106.985 | − | 277.901i | −0.356618 | − | 0.926337i | ||||
\(301\) | −3.48002 | − | 98.8095i | −0.0115615 | − | 0.328271i | ||||
\(302\) | 5.09879 | 0.0168834 | ||||||||
\(303\) | −54.5619 | − | 6.35244i | −0.180072 | − | 0.0209651i | ||||
\(304\) | 92.9235 | + | 160.948i | 0.305669 | + | 0.529435i | ||||
\(305\) | 89.9305 | − | 310.517i | 0.294854 | − | 1.01809i | ||||
\(306\) | −2.05285 | − | 6.83457i | −0.00670867 | − | 0.0223352i | ||||
\(307\) | 433.637i | 1.41250i | 0.707963 | + | 0.706250i | \(0.249614\pi\) | ||||
−0.707963 | + | 0.706250i | \(0.750386\pi\) | |||||||
\(308\) | 284.653 | + | 151.244i | 0.924199 | + | 0.491052i | ||||
\(309\) | 36.9700 | + | 85.5998i | 0.119644 | + | 0.277022i | ||||
\(310\) | 39.2034 | − | 9.66425i | 0.126463 | − | 0.0311750i | ||||
\(311\) | −310.113 | + | 179.044i | −0.997148 | + | 0.575704i | −0.907403 | − | 0.420261i | \(-0.861939\pi\) |
−0.0897451 | + | 0.995965i | \(0.528605\pi\) | |||||||
\(312\) | 18.0198 | − | 24.2276i | 0.0577559 | − | 0.0776527i | ||||
\(313\) | 193.637 | + | 111.796i | 0.618647 | + | 0.357176i | 0.776342 | − | 0.630312i | \(-0.217073\pi\) |
−0.157695 | + | 0.987488i | \(0.550406\pi\) | |||||||
\(314\) | − | 7.90057i | − | 0.0251610i | ||||||
\(315\) | 169.637 | + | 265.421i | 0.538530 | + | 0.842606i | ||||
\(316\) | −273.571 | −0.865730 | ||||||||
\(317\) | 268.012 | − | 464.210i | 0.845462 | − | 1.46438i | −0.0397565 | − | 0.999209i | \(-0.512658\pi\) |
0.885219 | − | 0.465175i | \(-0.154008\pi\) | |||||||
\(318\) | 9.52683 | + | 7.08579i | 0.0299586 | + | 0.0222824i | ||||
\(319\) | 189.967 | + | 329.033i | 0.595508 | + | 1.03145i | ||||
\(320\) | 297.009 | − | 73.2174i | 0.928154 | − | 0.228804i | ||||
\(321\) | −502.534 | + | 217.041i | −1.56553 | + | 0.676139i | ||||
\(322\) | −15.1164 | − | 24.1752i | −0.0469452 | − | 0.0750782i | ||||
\(323\) | −54.7843 | −0.169611 | ||||||||
\(324\) | −287.658 | − | 143.818i | −0.887832 | − | 0.443883i | ||||
\(325\) | 85.3488 | + | 162.591i | 0.262612 | + | 0.500279i | ||||
\(326\) | −31.6718 | + | 18.2857i | −0.0971528 | + | 0.0560912i | ||||
\(327\) | 11.8304 | − | 101.613i | 0.0361785 | − | 0.310742i | ||||
\(328\) | 96.9129i | 0.295466i | ||||||||
\(329\) | 171.540 | − | 322.853i | 0.521399 | − | 0.981316i | ||||
\(330\) | −11.5862 | + | 27.5723i | −0.0351096 | + | 0.0835523i | ||||
\(331\) | −107.615 | + | 186.394i | −0.325120 | + | 0.563124i | −0.981537 | − | 0.191274i | \(-0.938738\pi\) |
0.656417 | + | 0.754398i | \(0.272071\pi\) | |||||||
\(332\) | 71.2161 | + | 123.350i | 0.214506 | + | 0.371536i | ||||
\(333\) | −98.5617 | + | 417.542i | −0.295981 | + | 1.25388i | ||||
\(334\) | −0.993191 | + | 1.72026i | −0.00297363 | + | 0.00515047i | ||||
\(335\) | −71.5177 | + | 68.6985i | −0.213486 | + | 0.205070i | ||||
\(336\) | −296.868 | + | 140.812i | −0.883535 | + | 0.419085i | ||||
\(337\) | − | 203.340i | − | 0.603381i | −0.953406 | − | 0.301691i | \(-0.902449\pi\) | ||
0.953406 | − | 0.301691i | \(-0.0975510\pi\) | |||||||
\(338\) | 9.88928 | − | 17.1287i | 0.0292582 | − | 0.0506767i | ||||
\(339\) | −154.160 | − | 114.660i | −0.454748 | − | 0.338229i | ||||
\(340\) | −25.4712 | + | 87.9485i | −0.0749154 | + | 0.258672i | ||||
\(341\) | 471.796 | + | 272.392i | 1.38357 | + | 0.798802i | ||||
\(342\) | 12.5999 | − | 13.3792i | 0.0368418 | − | 0.0391206i | ||||
\(343\) | −341.089 | + | 36.1586i | −0.994428 | + | 0.105419i | ||||
\(344\) | 19.3539i | 0.0562613i | ||||||||
\(345\) | −283.053 | + | 214.906i | −0.820443 | + | 0.622916i | ||||
\(346\) | −0.335806 | − | 0.581633i | −0.000970538 | − | 0.00168102i | ||||
\(347\) | −9.76578 | − | 16.9148i | −0.0281435 | − | 0.0487459i | 0.851611 | − | 0.524175i | \(-0.175626\pi\) |
−0.879754 | + | 0.475429i | \(0.842293\pi\) | |||||||
\(348\) | −387.587 | − | 45.1253i | −1.11376 | − | 0.129670i | ||||
\(349\) | −19.4121 | −0.0556219 | −0.0278110 | − | 0.999613i | \(-0.508854\pi\) | ||||
−0.0278110 | + | 0.999613i | \(0.508854\pi\) | |||||||
\(350\) | −0.150457 | + | 30.0849i | −0.000429876 | + | 0.0859569i | ||||
\(351\) | 186.452 | + | 67.5776i | 0.531203 | + | 0.192529i | ||||
\(352\) | −82.0676 | − | 47.3817i | −0.233146 | − | 0.134607i | ||||
\(353\) | −160.280 | − | 277.612i | −0.454050 | − | 0.786437i | 0.544583 | − | 0.838707i | \(-0.316688\pi\) |
−0.998633 | + | 0.0522696i | \(0.983354\pi\) | |||||||
\(354\) | −0.389962 | + | 0.524303i | −0.00110159 | + | 0.00148108i | ||||
\(355\) | −57.6825 | − | 233.991i | −0.162486 | − | 0.659131i | ||||
\(356\) | 506.784i | 1.42355i | ||||||||
\(357\) | 7.80778 | − | 96.5413i | 0.0218705 | − | 0.270424i | ||||
\(358\) | − | 37.8575i | − | 0.105747i | ||||||
\(359\) | −16.9213 | − | 9.76951i | −0.0471345 | − | 0.0272131i | 0.476248 | − | 0.879311i | \(-0.341997\pi\) |
−0.523382 | + | 0.852098i | \(0.675330\pi\) | |||||||
\(360\) | −31.3570 | − | 53.0926i | −0.0871029 | − | 0.147480i | ||||
\(361\) | 109.956 | + | 190.449i | 0.304586 | + | 0.527558i | ||||
\(362\) | 6.69236 | − | 11.5915i | 0.0184872 | − | 0.0320207i | ||||
\(363\) | −37.2048 | + | 16.0685i | −0.102492 | + | 0.0442657i | ||||
\(364\) | 173.094 | − | 108.233i | 0.475532 | − | 0.297343i | ||||
\(365\) | 448.694 | − | 431.007i | 1.22930 | − | 1.18084i | ||||
\(366\) | 3.85629 | − | 33.1222i | 0.0105363 | − | 0.0904979i | ||||
\(367\) | −369.737 | + | 213.468i | −1.00746 | + | 0.581656i | −0.910446 | − | 0.413627i | \(-0.864262\pi\) |
−0.0970116 | + | 0.995283i | \(0.530928\pi\) | |||||||
\(368\) | −185.351 | − | 321.038i | −0.503672 | − | 0.872385i | ||||
\(369\) | −609.633 | + | 183.111i | −1.65212 | + | 0.496237i | ||||
\(370\) | −29.5502 | + | 28.3854i | −0.0798654 | + | 0.0767172i | ||||
\(371\) | 85.4357 | + | 136.635i | 0.230285 | + | 0.368288i | ||||
\(372\) | −513.652 | + | 221.843i | −1.38079 | + | 0.596351i | ||||
\(373\) | 194.156 | + | 112.096i | 0.520525 | + | 0.300525i | 0.737149 | − | 0.675730i | \(-0.236171\pi\) |
−0.216625 | + | 0.976255i | \(0.569505\pi\) | |||||||
\(374\) | 7.96400 | − | 4.59802i | 0.0212941 | − | 0.0122942i | ||||
\(375\) | 373.627 | − | 32.0556i | 0.996340 | − | 0.0854816i | ||||
\(376\) | −35.7826 | + | 61.9772i | −0.0951664 | + | 0.164833i | ||||
\(377\) | 240.623 | 0.638258 | ||||||||
\(378\) | 21.7813 | + | 24.1104i | 0.0576225 | + | 0.0637842i | ||||
\(379\) | 441.863 | 1.16586 | 0.582932 | − | 0.812521i | \(-0.301905\pi\) | ||||
0.582932 | + | 0.812521i | \(0.301905\pi\) | |||||||
\(380\) | −228.952 | + | 56.4403i | −0.602506 | + | 0.148527i | ||||
\(381\) | −236.326 | + | 317.739i | −0.620277 | + | 0.833961i | ||||
\(382\) | −35.3949 | + | 20.4353i | −0.0926569 | + | 0.0534955i | ||||
\(383\) | 71.4848 | − | 123.815i | 0.186644 | − | 0.323277i | −0.757485 | − | 0.652853i | \(-0.773572\pi\) |
0.944129 | + | 0.329575i | \(0.106905\pi\) | |||||||
\(384\) | 118.981 | − | 51.3869i | 0.309846 | − | 0.133820i | ||||
\(385\) | −282.663 | + | 291.333i | −0.734191 | + | 0.756708i | ||||
\(386\) | 36.2734i | 0.0939726i | ||||||||
\(387\) | −121.746 | + | 36.5681i | −0.314590 | + | 0.0944912i | ||||
\(388\) | 92.6766 | − | 53.5069i | 0.238857 | − | 0.137904i | ||||
\(389\) | 35.6423 | − | 20.5781i | 0.0916256 | − | 0.0529000i | −0.453487 | − | 0.891263i | \(-0.649820\pi\) |
0.545113 | + | 0.838363i | \(0.316487\pi\) | |||||||
\(390\) | 11.4539 | + | 15.0859i | 0.0293689 | + | 0.0386818i | ||||
\(391\) | 109.276 | 0.279479 | ||||||||
\(392\) | 66.9757 | − | 4.72356i | 0.170856 | − | 0.0120499i | ||||
\(393\) | 95.4565 | + | 221.019i | 0.242892 | + | 0.562389i | ||||
\(394\) | −32.5552 | + | 56.3872i | −0.0826274 | + | 0.143115i | ||||
\(395\) | 95.8367 | − | 330.910i | 0.242624 | − | 0.837748i | ||||
\(396\) | 95.2117 | − | 403.350i | 0.240434 | − | 1.01856i | ||||
\(397\) | 326.923 | + | 188.749i | 0.823484 | + | 0.475439i | 0.851617 | − | 0.524165i | \(-0.175623\pi\) |
−0.0281322 | + | 0.999604i | \(0.508956\pi\) | |||||||
\(398\) | 32.7436 | 0.0822704 | ||||||||
\(399\) | 225.372 | − | 106.900i | 0.564842 | − | 0.267920i | ||||
\(400\) | −15.7225 | + | 390.839i | −0.0393063 | + | 0.977098i | ||||
\(401\) | 81.6070 | + | 47.1158i | 0.203509 | + | 0.117496i | 0.598291 | − | 0.801279i | \(-0.295847\pi\) |
−0.394782 | + | 0.918775i | \(0.629180\pi\) | |||||||
\(402\) | −6.10471 | + | 8.20777i | −0.0151858 | + | 0.0204173i | ||||
\(403\) | 298.802 | − | 172.513i | 0.741444 | − | 0.428073i | ||||
\(404\) | 62.9596 | + | 36.3497i | 0.155841 | + | 0.0899746i | ||||
\(405\) | 274.733 | − | 297.568i | 0.678354 | − | 0.734735i | ||||
\(406\) | 34.8138 | + | 18.4975i | 0.0857482 | + | 0.0455603i | ||||
\(407\) | −552.850 | −1.35835 | ||||||||
\(408\) | −2.19258 | + | 18.8324i | −0.00537398 | + | 0.0461578i | ||||
\(409\) | −264.873 | − | 458.773i | −0.647611 | − | 1.12169i | −0.983692 | − | 0.179862i | \(-0.942435\pi\) |
0.336081 | − | 0.941833i | \(-0.390898\pi\) | |||||||
\(410\) | −58.3954 | − | 16.9122i | −0.142428 | − | 0.0412493i | ||||
\(411\) | 53.9451 | − | 463.341i | 0.131253 | − | 1.12735i | ||||
\(412\) | − | 123.404i | − | 0.299525i | ||||||
\(413\) | −7.51962 | + | 4.70190i | −0.0182073 | + | 0.0113847i | ||||
\(414\) | −25.1325 | + | 26.6871i | −0.0607066 | + | 0.0644616i | ||||
\(415\) | −174.152 | + | 42.9312i | −0.419643 | + | 0.103449i | ||||
\(416\) | −51.9757 | + | 30.0082i | −0.124942 | + | 0.0721351i | ||||
\(417\) | 316.087 | + | 235.097i | 0.758002 | + | 0.563781i | ||||
\(418\) | 20.5101 | + | 11.8415i | 0.0490673 | + | 0.0283290i | ||||
\(419\) | 208.590i | 0.497828i | 0.968526 | + | 0.248914i | \(0.0800736\pi\) | ||||
−0.968526 | + | 0.248914i | \(0.919926\pi\) | |||||||
\(420\) | −66.8295 | − | 411.505i | −0.159118 | − | 0.979775i | ||||
\(421\) | −382.542 | −0.908650 | −0.454325 | − | 0.890836i | \(-0.650120\pi\) | ||||
−0.454325 | + | 0.890836i | \(0.650120\pi\) | |||||||
\(422\) | 4.89164 | − | 8.47256i | 0.0115916 | − | 0.0200772i | ||||
\(423\) | −457.479 | − | 107.989i | −1.08151 | − | 0.255293i | ||||
\(424\) | −15.7722 | − | 27.3183i | −0.0371987 | − | 0.0644300i | ||||
\(425\) | −97.4593 | − | 61.6199i | −0.229316 | − | 0.144988i | ||||
\(426\) | −9.85631 | − | 22.8212i | −0.0231369 | − | 0.0535709i | ||||
\(427\) | 212.358 | − | 399.675i | 0.497326 | − | 0.936008i | ||||
\(428\) | 724.474 | 1.69270 | ||||||||
\(429\) | −29.5548 | + | 253.850i | −0.0688923 | + | 0.591725i | ||||
\(430\) | −11.6618 | − | 3.37744i | −0.0271205 | − | 0.00785450i | ||||
\(431\) | −403.517 | + | 232.971i | −0.936234 | + | 0.540535i | −0.888778 | − | 0.458338i | \(-0.848445\pi\) |
−0.0474561 | + | 0.998873i | \(0.515111\pi\) | |||||||
\(432\) | 271.982 | + | 323.246i | 0.629587 | + | 0.748255i | ||||
\(433\) | − | 769.033i | − | 1.77606i | −0.459788 | − | 0.888029i | \(-0.652074\pi\) | ||
0.459788 | − | 0.888029i | \(-0.347926\pi\) | |||||||
\(434\) | 56.4928 | − | 1.98965i | 0.130168 | − | 0.00458444i | ||||
\(435\) | 190.362 | − | 453.016i | 0.437614 | − | 1.04142i | ||||
\(436\) | −67.6953 | + | 117.252i | −0.155265 | + | 0.268926i | ||||
\(437\) | 140.713 | + | 243.721i | 0.321997 | + | 0.557714i | ||||
\(438\) | 38.3003 | − | 51.4946i | 0.0874435 | − | 0.117568i | ||||
\(439\) | −129.054 | + | 223.528i | −0.293973 | + | 0.509176i | −0.974745 | − | 0.223319i | \(-0.928311\pi\) |
0.680773 | + | 0.732495i | \(0.261644\pi\) | |||||||
\(440\) | 57.3042 | − | 55.0453i | 0.130237 | − | 0.125103i | ||||
\(441\) | 156.261 | + | 412.388i | 0.354332 | + | 0.935120i | ||||
\(442\) | − | 5.82412i | − | 0.0131767i | ||||||
\(443\) | −202.227 | + | 350.267i | −0.456493 | + | 0.790670i | −0.998773 | − | 0.0495286i | \(-0.984228\pi\) |
0.542279 | + | 0.840198i | \(0.317561\pi\) | |||||||
\(444\) | 338.859 | − | 455.595i | 0.763196 | − | 1.02612i | ||||
\(445\) | −613.005 | − | 177.536i | −1.37754 | − | 0.398956i | ||||
\(446\) | 15.7160 | + | 9.07361i | 0.0352376 | + | 0.0203444i | ||||
\(447\) | 112.522 | + | 260.531i | 0.251726 | + | 0.582844i | ||||
\(448\) | 427.996 | − | 15.0738i | 0.955348 | − | 0.0336469i | ||||
\(449\) | 24.0690i | 0.0536058i | 0.999641 | + | 0.0268029i | \(0.00853266\pi\) | ||||
−0.999641 | + | 0.0268029i | \(0.991467\pi\) | |||||||
\(450\) | 37.4634 | − | 9.62921i | 0.0832519 | − | 0.0213982i | ||||
\(451\) | −410.136 | − | 710.377i | −0.909393 | − | 1.57511i | ||||
\(452\) | 127.137 | + | 220.208i | 0.281276 | + | 0.487185i | ||||
\(453\) | 10.2896 | − | 88.3789i | 0.0227144 | − | 0.195097i | ||||
\(454\) | 66.4833 | 0.146439 | ||||||||
\(455\) | 70.2803 | + | 247.289i | 0.154462 | + | 0.543493i | ||||
\(456\) | −44.8257 | + | 19.3599i | −0.0983019 | + | 0.0424559i | ||||
\(457\) | 183.663 | + | 106.038i | 0.401888 | + | 0.232030i | 0.687298 | − | 0.726375i | \(-0.258796\pi\) |
−0.285410 | + | 0.958405i | \(0.592130\pi\) | |||||||
\(458\) | 2.42252 | + | 4.19592i | 0.00528934 | + | 0.00916140i | ||||
\(459\) | −122.609 | + | 21.7902i | −0.267121 | + | 0.0474733i | ||||
\(460\) | 456.683 | − | 112.579i | 0.992789 | − | 0.244738i | ||||
\(461\) | − | 315.604i | − | 0.684608i | −0.939589 | − | 0.342304i | \(-0.888793\pi\) | ||
0.939589 | − | 0.342304i | \(-0.111207\pi\) | |||||||
\(462\) | −23.7903 | + | 34.4555i | −0.0514942 | + | 0.0745790i | ||||
\(463\) | 612.544i | 1.32299i | 0.749950 | + | 0.661495i | \(0.230078\pi\) | ||||
−0.749950 | + | 0.661495i | \(0.769922\pi\) | |||||||
\(464\) | 443.887 | + | 256.278i | 0.956654 | + | 0.552324i | ||||
\(465\) | −88.3989 | − | 699.028i | −0.190105 | − | 1.50329i | ||||
\(466\) | −29.4003 | − | 50.9229i | −0.0630909 | − | 0.109277i | ||||
\(467\) | −201.374 | + | 348.790i | −0.431208 | + | 0.746874i | −0.996978 | − | 0.0776892i | \(-0.975246\pi\) |
0.565770 | + | 0.824563i | \(0.308579\pi\) | |||||||
\(468\) | −191.079 | − | 179.948i | −0.408288 | − | 0.384505i | ||||
\(469\) | −117.717 | + | 73.6064i | −0.250995 | + | 0.156943i | ||||
\(470\) | −31.1004 | − | 32.3766i | −0.0661710 | − | 0.0688864i | ||||
\(471\) | −136.943 | − | 15.9438i | −0.290749 | − | 0.0338509i | ||||
\(472\) | 1.50344 | − | 0.868014i | 0.00318526 | − | 0.00183901i | ||||
\(473\) | −81.9059 | − | 141.865i | −0.173163 | − | 0.299926i | ||||
\(474\) | 4.10956 | − | 35.2975i | 0.00866995 | − | 0.0744673i | ||||
\(475\) | 11.9360 | − | 296.712i | 0.0251285 | − | 0.624657i | ||||
\(476\) | −60.1467 | + | 113.201i | −0.126359 | + | 0.237817i | ||||
\(477\) | 142.046 | − | 150.832i | 0.297790 | − | 0.316210i | ||||
\(478\) | 15.7203 | + | 9.07612i | 0.0328877 | + | 0.0189877i | ||||
\(479\) | 232.441 | − | 134.200i | 0.485263 | − | 0.280167i | −0.237344 | − | 0.971426i | \(-0.576277\pi\) |
0.722607 | + | 0.691259i | \(0.242944\pi\) | |||||||
\(480\) | 15.3767 | + | 121.594i | 0.0320348 | + | 0.253321i | ||||
\(481\) | −175.068 | + | 303.226i | −0.363967 | + | 0.630408i | ||||
\(482\) | −3.27870 | −0.00680229 | ||||||||
\(483\) | −449.542 | + | 213.230i | −0.930728 | + | 0.441470i | ||||
\(484\) | 53.6359 | 0.110818 | ||||||||
\(485\) | 32.2555 | + | 130.846i | 0.0665062 | + | 0.269785i | ||||
\(486\) | 22.8773 | − | 34.9546i | 0.0470726 | − | 0.0719231i | ||||
\(487\) | −60.9309 | + | 35.1785i | −0.125115 | + | 0.0722351i | −0.561251 | − | 0.827645i | \(-0.689680\pi\) |
0.436136 | + | 0.899881i | \(0.356347\pi\) | |||||||
\(488\) | −44.2970 | + | 76.7247i | −0.0907726 | + | 0.157223i | ||||
\(489\) | 253.037 | + | 585.879i | 0.517458 | + | 1.19812i | ||||
\(490\) | −8.84168 | + | 41.1809i | −0.0180442 | + | 0.0840427i | ||||
\(491\) | − | 573.554i | − | 1.16814i | −0.811705 | − | 0.584068i | \(-0.801460\pi\) | ||
0.811705 | − | 0.584068i | \(-0.198540\pi\) | |||||||
\(492\) | 836.796 | + | 97.4250i | 1.70080 | + | 0.198018i | ||||
\(493\) | −130.850 | + | 75.5461i | −0.265415 | + | 0.153238i | ||||
\(494\) | 12.9897 | − | 7.49958i | 0.0262948 | − | 0.0151813i | ||||
\(495\) | 454.537 | + | 256.469i | 0.918257 | + | 0.518119i | ||||
\(496\) | 734.950 | 1.48175 | ||||||||
\(497\) | −11.8755 | − | 337.186i | −0.0238944 | − | 0.678443i | ||||
\(498\) | −16.9851 | + | 7.33572i | −0.0341065 | + | 0.0147304i | ||||
\(499\) | −19.6456 | + | 34.0272i | −0.0393700 | + | 0.0681909i | −0.885039 | − | 0.465517i | \(-0.845868\pi\) |
0.845669 | + | 0.533708i | \(0.179202\pi\) | |||||||
\(500\) | −470.781 | − | 157.114i | −0.941561 | − | 0.314228i | ||||
\(501\) | 27.8135 | + | 20.6869i | 0.0555159 | + | 0.0412911i | ||||
\(502\) | −33.1097 | − | 19.1159i | −0.0659556 | − | 0.0380795i | ||||
\(503\) | 377.200 | 0.749901 | 0.374951 | − | 0.927045i | \(-0.377660\pi\) | ||||
0.374951 | + | 0.927045i | \(0.377660\pi\) | |||||||
\(504\) | −27.7276 | − | 81.7513i | −0.0550152 | − | 0.162205i | ||||
\(505\) | −66.0244 | + | 63.4218i | −0.130741 | + | 0.125588i | ||||
\(506\) | −40.9108 | − | 23.6199i | −0.0808515 | − | 0.0466796i | ||||
\(507\) | −276.940 | − | 205.981i | −0.546234 | − | 0.406273i | ||||
\(508\) | 453.871 | − | 262.043i | 0.893447 | − | 0.515832i | ||||
\(509\) | −581.066 | − | 335.479i | −1.14158 | − | 0.659094i | −0.194762 | − | 0.980851i | \(-0.562393\pi\) |
−0.946822 | + | 0.321757i | \(0.895727\pi\) | |||||||
\(510\) | −10.9649 | − | 4.60758i | −0.0214999 | − | 0.00903448i | ||||
\(511\) | 738.542 | − | 461.799i | 1.44529 | − | 0.903716i | ||||
\(512\) | −213.599 | −0.417186 | ||||||||
\(513\) | −206.479 | − | 245.398i | −0.402494 | − | 0.478358i | ||||
\(514\) | 31.3140 | + | 54.2374i | 0.0609221 | + | 0.105520i | ||||
\(515\) | 149.270 | + | 43.2307i | 0.289844 | + | 0.0839432i | ||||
\(516\) | 167.112 | + | 19.4562i | 0.323860 | + | 0.0377058i | ||||
\(517\) | − | 605.729i | − | 1.17162i | ||||||
\(518\) | −48.6391 | + | 30.4133i | −0.0938979 | + | 0.0587129i | ||||
\(519\) | −10.7593 | + | 4.64686i | −0.0207308 | + | 0.00895350i | ||||
\(520\) | −12.0450 | − | 48.8610i | −0.0231635 | − | 0.0939635i | ||||
\(521\) | 663.160 | − | 382.876i | 1.27286 | − | 0.734886i | 0.297335 | − | 0.954773i | \(-0.403902\pi\) |
0.975525 | + | 0.219887i | \(0.0705689\pi\) | |||||||
\(522\) | 11.6446 | − | 49.3307i | 0.0223077 | − | 0.0945032i | ||||
\(523\) | 169.809 | + | 98.0393i | 0.324683 | + | 0.187456i | 0.653478 | − | 0.756946i | \(-0.273309\pi\) |
−0.328795 | + | 0.944401i | \(0.606643\pi\) | |||||||
\(524\) | − | 318.630i | − | 0.608073i | ||||||
\(525\) | 521.167 | + | 63.3208i | 0.992700 | + | 0.120611i | ||||
\(526\) | 62.3096 | 0.118459 | ||||||||
\(527\) | −108.325 | + | 187.624i | −0.205550 | + | 0.356023i | ||||
\(528\) | −324.887 | + | 436.810i | −0.615316 | + | 0.827292i | ||||
\(529\) | −16.1743 | − | 28.0146i | −0.0305752 | − | 0.0529577i | ||||
\(530\) | 19.2132 | − | 4.73635i | 0.0362513 | − | 0.00893651i | ||||
\(531\) | 8.30094 | + | 7.81740i | 0.0156327 | + | 0.0147220i | ||||
\(532\) | −329.924 | + | 11.6198i | −0.620159 | + | 0.0218417i | ||||
\(533\) | −519.502 | −0.974676 | ||||||||
\(534\) | −65.3879 | − | 7.61287i | −0.122449 | − | 0.0142563i | ||||
\(535\) | −253.796 | + | 876.322i | −0.474385 | + | 1.63798i | ||||
\(536\) | 23.5359 | − | 13.5884i | 0.0439102 | − | 0.0253516i | ||||
\(537\) | −656.195 | − | 76.3983i | −1.22197 | − | 0.142269i | ||||
\(538\) | − | 54.4215i | − | 0.101155i | ||||||
\(539\) | −470.946 | + | 318.066i | −0.873740 | + | 0.590104i | ||||
\(540\) | −489.952 | + | 217.380i | −0.907318 | + | 0.402555i | ||||
\(541\) | −422.140 | + | 731.167i | −0.780295 | + | 1.35151i | 0.151475 | + | 0.988461i | \(0.451598\pi\) |
−0.931770 | + | 0.363050i | \(0.881736\pi\) | |||||||
\(542\) | −4.26710 | − | 7.39083i | −0.00787288 | − | 0.0136362i | ||||
\(543\) | −187.414 | − | 139.393i | −0.345145 | − | 0.256709i | ||||
\(544\) | 18.8428 | − | 32.6367i | 0.0346375 | − | 0.0599938i | ||||
\(545\) | −118.113 | − | 122.959i | −0.216720 | − | 0.225614i | ||||
\(546\) | 11.3646 | + | 23.9593i | 0.0208142 | + | 0.0438815i | ||||
\(547\) | 160.122i | 0.292727i | 0.989231 | + | 0.146363i | \(0.0467569\pi\) | ||||
−0.989231 | + | 0.146363i | \(0.953243\pi\) | |||||||
\(548\) | −308.683 | + | 534.654i | −0.563290 | + | 0.975647i | ||||
\(549\) | −566.335 | − | 133.685i | −1.03158 | − | 0.243506i | ||||
\(550\) | 23.1678 | + | 44.1349i | 0.0421232 | + | 0.0802453i | ||||
\(551\) | −336.985 | − | 194.558i | −0.611587 | − | 0.353100i | ||||
\(552\) | 89.4122 | − | 38.6165i | 0.161979 | − | 0.0699574i | ||||
\(553\) | 226.305 | − | 425.924i | 0.409231 | − | 0.770206i | ||||
\(554\) | − | 18.9395i | − | 0.0341868i | ||||||
\(555\) | 432.379 | + | 569.486i | 0.779061 | + | 1.02610i | ||||
\(556\) | −260.680 | − | 451.511i | −0.468849 | − | 0.812070i | ||||
\(557\) | −142.397 | − | 246.638i | −0.255649 | − | 0.442797i | 0.709422 | − | 0.704784i | \(-0.248956\pi\) |
−0.965072 | + | 0.261986i | \(0.915623\pi\) | |||||||
\(558\) | −20.9073 | − | 69.6066i | −0.0374682 | − | 0.124743i | ||||
\(559\) | −103.747 | −0.185593 | ||||||||
\(560\) | −133.730 | + | 531.038i | −0.238803 | + | 0.948282i | ||||
\(561\) | −63.6271 | − | 147.322i | −0.113417 | − | 0.262605i | ||||
\(562\) | 59.5905 | + | 34.4046i | 0.106033 | + | 0.0612181i | ||||
\(563\) | 90.7228 | + | 157.136i | 0.161142 | + | 0.279106i | 0.935278 | − | 0.353913i | \(-0.115149\pi\) |
−0.774137 | + | 0.633018i | \(0.781816\pi\) | |||||||
\(564\) | 499.172 | + | 371.270i | 0.885057 | + | 0.658280i | ||||
\(565\) | −310.901 | + | 76.6419i | −0.550267 | + | 0.135649i | ||||
\(566\) | − | 55.0038i | − | 0.0971799i | ||||||
\(567\) | 461.869 | − | 328.886i | 0.814584 | − | 0.580046i | ||||
\(568\) | 66.0449i | 0.116276i | ||||||||
\(569\) | −350.000 | − | 202.073i | −0.615115 | − | 0.355137i | 0.159850 | − | 0.987141i | \(-0.448899\pi\) |
−0.774965 | + | 0.632005i | \(0.782232\pi\) | |||||||
\(570\) | −3.84292 | − | 30.3885i | −0.00674196 | − | 0.0533131i | ||||
\(571\) | 369.018 | + | 639.158i | 0.646267 | + | 1.11937i | 0.984007 | + | 0.178127i | \(0.0570039\pi\) |
−0.337741 | + | 0.941239i | \(0.609663\pi\) | |||||||
\(572\) | 169.118 | − | 292.920i | 0.295660 | − | 0.512099i | ||||
\(573\) | 282.782 | + | 654.751i | 0.493511 | + | 1.14267i | ||||
\(574\) | −75.1624 | − | 39.9358i | −0.130945 | − | 0.0695746i | ||||
\(575\) | −23.8084 | + | 591.841i | −0.0414059 | + | 1.02929i | ||||
\(576\) | −158.396 | − | 527.347i | −0.274992 | − | 0.915533i | ||||
\(577\) | −569.531 | + | 328.819i | −0.987056 | + | 0.569877i | −0.904393 | − | 0.426701i | \(-0.859676\pi\) |
−0.0826627 | + | 0.996578i | \(0.526342\pi\) | |||||||
\(578\) | −23.0133 | − | 39.8602i | −0.0398154 | − | 0.0689623i | ||||
\(579\) | 628.739 | + | 73.2017i | 1.08590 | + | 0.126428i | ||||
\(580\) | −469.013 | + | 450.525i | −0.808642 | + | 0.776767i | ||||
\(581\) | −250.956 | + | 8.83855i | −0.431938 | + | 0.0152126i | ||||
\(582\) | 5.51155 | + | 12.7614i | 0.00947002 | + | 0.0219268i | ||||
\(583\) | 231.223 | + | 133.496i | 0.396608 | + | 0.228982i | ||||
\(584\) | −147.661 | + | 85.2524i | −0.252845 | + | 0.145980i | ||||
\(585\) | 284.603 | − | 168.090i | 0.486501 | − | 0.287333i | ||||
\(586\) | −28.2560 | + | 48.9409i | −0.0482185 | + | 0.0835168i | ||||
\(587\) | 339.097 | 0.577679 | 0.288839 | − | 0.957378i | \(-0.406731\pi\) | ||||
0.288839 | + | 0.957378i | \(0.406731\pi\) | |||||||
\(588\) | 26.5440 | − | 583.051i | 0.0451428 | − | 0.991584i | ||||
\(589\) | −557.949 | −0.947283 | ||||||||
\(590\) | 0.260662 | + | 1.05739i | 0.000441800 | + | 0.00179218i | ||||
\(591\) | 911.679 | + | 678.081i | 1.54260 | + | 1.14735i | ||||
\(592\) | −645.910 | + | 372.916i | −1.09106 | + | 0.629926i | ||||
\(593\) | 163.991 | − | 284.041i | 0.276545 | − | 0.478990i | −0.693979 | − | 0.719995i | \(-0.744144\pi\) |
0.970524 | + | 0.241006i | \(0.0774772\pi\) | |||||||
\(594\) | 50.6121 | + | 18.3438i | 0.0852056 | + | 0.0308818i | ||||
\(595\) | −115.857 | − | 112.410i | −0.194718 | − | 0.188924i | ||||
\(596\) | − | 375.593i | − | 0.630190i | ||||||
\(597\) | 66.0783 | − | 567.555i | 0.110684 | − | 0.950678i | ||||
\(598\) | −25.9100 | + | 14.9591i | −0.0433278 | + | 0.0250153i | ||||
\(599\) | −726.655 | + | 419.534i | −1.21311 | + | 0.700391i | −0.963436 | − | 0.267938i | \(-0.913658\pi\) |
−0.249677 | + | 0.968329i | \(0.580324\pi\) | |||||||
\(600\) | −101.519 | − | 15.9781i | −0.169198 | − | 0.0266302i | ||||
\(601\) | 347.260 | 0.577804 | 0.288902 | − | 0.957359i | \(-0.406710\pi\) | ||||
0.288902 | + | 0.957359i | \(0.406710\pi\) | |||||||
\(602\) | −15.0102 | − | 7.97534i | −0.0249340 | − | 0.0132481i | ||||
\(603\) | 129.948 | + | 122.378i | 0.215503 | + | 0.202949i | ||||
\(604\) | −58.8790 | + | 101.981i | −0.0974818 | + | 0.168843i | ||||
\(605\) | −18.7896 | + | 64.8779i | −0.0310572 | + | 0.107236i | ||||
\(606\) | −5.63581 | + | 7.57733i | −0.00930001 | + | 0.0125038i | ||||
\(607\) | −277.758 | − | 160.363i | −0.457591 | − | 0.264190i | 0.253440 | − | 0.967351i | \(-0.418438\pi\) |
−0.711031 | + | 0.703161i | \(0.751771\pi\) | |||||||
\(608\) | 97.0537 | 0.159628 | ||||||||
\(609\) | 390.878 | − | 566.109i | 0.641837 | − | 0.929571i | ||||
\(610\) | −38.5007 | − | 40.0806i | −0.0631159 | − | 0.0657059i | ||||
\(611\) | −332.229 | − | 191.813i | −0.543747 | − | 0.313932i | ||||
\(612\) | 160.405 | + | 37.8638i | 0.262099 | + | 0.0618690i | ||||
\(613\) | 220.529 | − | 127.323i | 0.359754 | − | 0.207704i | −0.309219 | − | 0.950991i | \(-0.600068\pi\) |
0.668973 | + | 0.743287i | \(0.266734\pi\) | |||||||
\(614\) | 64.5615 | + | 37.2746i | 0.105149 | + | 0.0607078i | ||||
\(615\) | −410.989 | + | 978.056i | −0.668275 | + | 1.59034i | ||||
\(616\) | 94.3217 | − | 58.9779i | 0.153120 | − | 0.0957433i | ||||
\(617\) | −126.508 | −0.205037 | −0.102519 | − | 0.994731i | \(-0.532690\pi\) | ||||
−0.102519 | + | 0.994731i | \(0.532690\pi\) | |||||||
\(618\) | 15.9223 | + | 1.85377i | 0.0257642 | + | 0.00299963i | ||||
\(619\) | 183.100 | + | 317.138i | 0.295799 | + | 0.512339i | 0.975170 | − | 0.221456i | \(-0.0710808\pi\) |
−0.679372 | + | 0.733794i | \(0.737748\pi\) | |||||||
\(620\) | −259.411 | + | 895.710i | −0.418405 | + | 1.44469i | ||||
\(621\) | 411.857 | + | 489.486i | 0.663216 | + | 0.788222i | ||||
\(622\) | 61.5610i | 0.0989727i | ||||||||
\(623\) | −789.016 | − | 419.225i | −1.26648 | − | 0.672914i | ||||
\(624\) | 136.701 | + | 316.516i | 0.219072 | + | 0.507237i | ||||
\(625\) | 354.968 | − | 514.415i | 0.567948 | − | 0.823064i | ||||
\(626\) | 33.2892 | − | 19.2195i | 0.0531777 | − | 0.0307021i | ||||
\(627\) | 246.643 | − | 331.612i | 0.393371 | − | 0.528886i | ||||
\(628\) | 158.020 | + | 91.2329i | 0.251624 | + | 0.145275i | ||||
\(629\) | − | 219.858i | − | 0.349535i | ||||||
\(630\) | 54.0985 | − | 2.44109i | 0.0858706 | − | 0.00387475i | ||||
\(631\) | 66.0739 | 0.104713 | 0.0523565 | − | 0.998628i | \(-0.483327\pi\) | ||||
0.0523565 | + | 0.998628i | \(0.483327\pi\) | |||||||
\(632\) | −47.2062 | + | 81.7636i | −0.0746934 | + | 0.129373i | ||||
\(633\) | −136.986 | − | 101.886i | −0.216408 | − | 0.160958i | ||||
\(634\) | −46.0755 | − | 79.8050i | −0.0726742 | − | 0.125875i | ||||
\(635\) | 157.967 | + | 640.800i | 0.248767 | + | 1.00913i | ||||
\(636\) | −251.736 | + | 108.723i | −0.395811 | + | 0.170948i | ||||
\(637\) | 25.3207 | + | 359.024i | 0.0397499 | + | 0.563617i | ||||
\(638\) | 65.3167 | 0.102377 | ||||||||
\(639\) | −415.457 | + | 124.788i | −0.650168 | + | 0.195287i | ||||
\(640\) | 60.0892 | − | 207.479i | 0.0938893 | − | 0.324187i | ||||
\(641\) | 803.605 | − | 463.961i | 1.25367 | − | 0.723809i | 0.281837 | − | 0.959462i | \(-0.409056\pi\) |
0.971837 | + | 0.235654i | \(0.0757231\pi\) | |||||||
\(642\) | −10.8830 | + | 93.4754i | −0.0169517 | + | 0.145600i | ||||
\(643\) | 455.224i | 0.707968i | 0.935251 | + | 0.353984i | \(0.115173\pi\) | ||||
−0.935251 | + | 0.353984i | \(0.884827\pi\) | |||||||
\(644\) | 658.089 | − | 23.1775i | 1.02188 | − | 0.0359900i | ||||
\(645\) | −82.0763 | + | 195.322i | −0.127250 | + | 0.302825i | ||||
\(646\) | −4.70914 | + | 8.15648i | −0.00728970 | + | 0.0126261i | ||||
\(647\) | 321.902 | + | 557.551i | 0.497530 | + | 0.861747i | 0.999996 | − | 0.00284968i | \(-0.000907083\pi\) |
−0.502466 | + | 0.864597i | \(0.667574\pi\) | |||||||
\(648\) | −92.6206 | + | 61.1571i | −0.142933 | + | 0.0943783i | ||||
\(649\) | −7.34689 | + | 12.7252i | −0.0113203 | + | 0.0196074i | ||||
\(650\) | 31.5435 | + | 1.26892i | 0.0485284 | + | 0.00195218i | ||||
\(651\) | 79.5183 | − | 983.223i | 0.122148 | − | 1.51033i | ||||
\(652\) | − | 844.628i | − | 1.29544i | ||||||
\(653\) | −285.108 | + | 493.822i | −0.436613 | + | 0.756236i | −0.997426 | − | 0.0717069i | \(-0.977155\pi\) |
0.560813 | + | 0.827943i | \(0.310489\pi\) | |||||||
\(654\) | −14.1115 | − | 10.4958i | −0.0215772 | − | 0.0160485i | ||||
\(655\) | 385.414 | + | 111.622i | 0.588419 | + | 0.170415i | ||||
\(656\) | −958.347 | − | 553.302i | −1.46089 | − | 0.843448i | ||||
\(657\) | −815.280 | − | 767.789i | −1.24091 | − | 1.16863i | ||||
\(658\) | −33.3222 | − | 53.2913i | −0.0506417 | − | 0.0809899i | ||||
\(659\) | 629.009i | 0.954491i | 0.878770 | + | 0.477245i | \(0.158365\pi\) | ||||
−0.878770 | + | 0.477245i | \(0.841635\pi\) | |||||||
\(660\) | −417.683 | − | 550.130i | −0.632853 | − | 0.833531i | ||||
\(661\) | −199.704 | − | 345.897i | −0.302124 | − | 0.523294i | 0.674493 | − | 0.738281i | \(-0.264362\pi\) |
−0.976617 | + | 0.214987i | \(0.931029\pi\) | |||||||
\(662\) | 18.5007 | + | 32.0441i | 0.0279466 | + | 0.0484050i | ||||
\(663\) | −100.951 | − | 11.7534i | −0.152264 | − | 0.0177275i | ||||
\(664\) | 49.1550 | 0.0740286 | ||||||||
\(665\) | 101.523 | − | 403.146i | 0.152666 | − | 0.606235i | ||||
\(666\) | 53.6930 | + | 50.5653i | 0.0806201 | + | 0.0759238i | ||||
\(667\) | 672.171 | + | 388.078i | 1.00775 | + | 0.581826i | ||||
\(668\) | −22.9380 | − | 39.7298i | −0.0343384 | − | 0.0594758i | ||||
\(669\) | 188.991 | − | 254.098i | 0.282498 | − | 0.379818i | ||||
\(670\) | 4.08057 | + | 16.5530i | 0.00609040 | + | 0.0247059i | ||||
\(671\) | − | 749.861i | − | 1.11753i | ||||||
\(672\) | −13.8320 | + | 171.029i | −0.0205833 | + | 0.254507i | ||||
\(673\) | − | 1005.37i | − | 1.49387i | −0.664900 | − | 0.746933i | \(-0.731526\pi\) | ||
0.664900 | − | 0.746933i | \(-0.268474\pi\) | |||||||
\(674\) | −30.2739 | − | 17.4787i | −0.0449168 | − | 0.0259327i | ||||
\(675\) | −91.3030 | − | 668.797i | −0.135264 | − | 0.990810i | ||||
\(676\) | 228.396 | + | 395.593i | 0.337863 | + | 0.585196i | ||||
\(677\) | 134.300 | − | 232.614i | 0.198375 | − | 0.343595i | −0.749627 | − | 0.661861i | \(-0.769767\pi\) |
0.948002 | + | 0.318266i | \(0.103100\pi\) | |||||||
\(678\) | −30.3222 | + | 13.0959i | −0.0447230 | + | 0.0193155i | ||||
\(679\) | 6.64067 | + | 188.551i | 0.00978008 | + | 0.277689i | ||||
\(680\) | 21.8904 | + | 22.7887i | 0.0321918 | + | 0.0335129i | ||||
\(681\) | 134.167 | − | 1152.37i | 0.197014 | − | 1.69218i | ||||
\(682\) | 81.1093 | − | 46.8285i | 0.118929 | − | 0.0686634i | ||||
\(683\) | 158.562 | + | 274.638i | 0.232156 | + | 0.402105i | 0.958442 | − | 0.285287i | \(-0.0920888\pi\) |
−0.726287 | + | 0.687392i | \(0.758755\pi\) | |||||||
\(684\) | 122.101 | + | 406.510i | 0.178510 | + | 0.594313i | ||||
\(685\) | −538.580 | − | 560.681i | −0.786247 | − | 0.818512i | ||||
\(686\) | −23.9359 | + | 53.8906i | −0.0348920 | + | 0.0785578i | ||||
\(687\) | 77.6180 | − | 33.5226i | 0.112981 | − | 0.0487957i | ||||
\(688\) | −191.386 | − | 110.497i | −0.278177 | − | 0.160606i | ||||
\(689\) | 146.440 | − | 84.5471i | 0.212540 | − | 0.122710i | ||||
\(690\) | 7.66533 | + | 60.6148i | 0.0111092 | + | 0.0878475i | ||||
\(691\) | 449.553 | − | 778.648i | 0.650583 | − | 1.12684i | −0.332399 | − | 0.943139i | \(-0.607858\pi\) |
0.982982 | − | 0.183704i | \(-0.0588087\pi\) | |||||||
\(692\) | 15.5111 | 0.0224148 | ||||||||
\(693\) | 549.217 | + | 481.898i | 0.792522 | + | 0.695379i | ||||
\(694\) | −3.35779 | −0.00483831 | ||||||||
\(695\) | 637.467 | − | 157.146i | 0.917219 | − | 0.226109i | ||||
\(696\) | −80.3673 | + | 108.054i | −0.115470 | + | 0.155250i | ||||
\(697\) | 282.503 | − | 163.103i | 0.405313 | − | 0.234007i | ||||
\(698\) | −1.66862 | + | 2.89014i | −0.00239057 | + | 0.00414060i | ||||
\(699\) | −941.994 | + | 406.840i | −1.34763 | + | 0.582032i | ||||
\(700\) | −599.994 | − | 350.419i | −0.857134 | − | 0.500598i | ||||
\(701\) | 430.110i | 0.613566i | 0.951779 | + | 0.306783i | \(0.0992526\pi\) | ||||
−0.951779 | + | 0.306783i | \(0.900747\pi\) | |||||||
\(702\) | 26.0882 | − | 21.9508i | 0.0371627 | − | 0.0312690i | ||||
\(703\) | 490.353 | − | 283.106i | 0.697515 | − | 0.402711i | ||||
\(704\) | 614.492 | − | 354.777i | 0.872859 | − | 0.503945i | ||||
\(705\) | −623.956 | + | 473.735i | −0.885044 | + | 0.671964i | ||||
\(706\) | −55.1092 | −0.0780584 | ||||||||
\(707\) | −108.675 | + | 67.9528i | −0.153713 | + | 0.0961143i | ||||
\(708\) | −5.98349 | − | 13.8541i | −0.00845126 | − | 0.0195680i | ||||
\(709\) | 354.562 | − | 614.119i | 0.500087 | − | 0.866176i | −0.499913 | − | 0.866076i | \(-0.666635\pi\) |
1.00000 | 0.000100361i | \(-3.19460e-5\pi\) | ||||||||
\(710\) | −39.7958 | − | 11.5255i | −0.0560504 | − | 0.0162330i | ||||
\(711\) | −603.529 | − | 142.464i | −0.848846 | − | 0.200372i | ||||
\(712\) | 151.465 | + | 87.4486i | 0.212732 | + | 0.122821i | ||||
\(713\) | 1112.92 | 1.56090 | ||||||||
\(714\) | −13.7023 | − | 9.46094i | −0.0191908 | − | 0.0132506i | ||||
\(715\) | 295.071 | + | 307.180i | 0.412687 | + | 0.429622i | ||||
\(716\) | 757.191 | + | 437.164i | 1.05753 | + | 0.610565i | ||||
\(717\) | 189.044 | − | 254.169i | 0.263659 | − | 0.354489i | ||||
\(718\) | −2.90904 | + | 1.67953i | −0.00405159 | + | 0.00233918i | ||||
\(719\) | 740.112 | + | 427.304i | 1.02936 | + | 0.594303i | 0.916802 | − | 0.399342i | \(-0.130761\pi\) |
0.112561 | + | 0.993645i | \(0.464095\pi\) | |||||||
\(720\) | 704.045 | − | 6.96155i | 0.977840 | − | 0.00966882i | ||||
\(721\) | 192.129 | + | 102.083i | 0.266476 | + | 0.141586i | ||||
\(722\) | 37.8062 | 0.0523632 | ||||||||
\(723\) | −6.61659 | + | 56.8308i | −0.00915158 | + | 0.0786041i | ||||
\(724\) | 154.562 | + | 267.709i | 0.213483 | + | 0.369764i | ||||
\(725\) | −380.650 | − | 725.143i | −0.525035 | − | 1.00020i | ||||
\(726\) | −0.805715 | + | 6.92039i | −0.00110980 | + | 0.00953222i | ||||
\(727\) | 1136.87i | 1.56378i | 0.623413 | + | 0.781892i | \(0.285745\pi\) | ||||
−0.623413 | + | 0.781892i | \(0.714255\pi\) | |||||||
\(728\) | −2.47979 | − | 70.4096i | −0.00340631 | − | 0.0967165i | ||||
\(729\) | −559.712 | − | 467.080i | −0.767781 | − | 0.640713i | ||||
\(730\) | −25.6010 | − | 103.852i | −0.0350699 | − | 0.142263i | ||||
\(731\) | 56.4170 | − | 32.5724i | 0.0771778 | − | 0.0445586i | ||||
\(732\) | 617.949 | + | 459.613i | 0.844193 | + | 0.627887i | ||||
\(733\) | 158.068 | + | 91.2606i | 0.215645 | + | 0.124503i | 0.603932 | − | 0.797036i | \(-0.293600\pi\) |
−0.388287 | + | 0.921539i | \(0.626933\pi\) | |||||||
\(734\) | 73.3970i | 0.0999960i | ||||||||
\(735\) | 695.959 | + | 236.361i | 0.946883 | + | 0.321579i | ||||
\(736\) | −193.590 | −0.263029 | ||||||||
\(737\) | −115.013 | + | 199.208i | −0.156055 | + | 0.270296i | ||||
\(738\) | −25.1406 | + | 106.504i | −0.0340658 | + | 0.144315i | ||||
\(739\) | −692.467 | − | 1199.39i | −0.937032 | − | 1.62299i | −0.770969 | − | 0.636872i | \(-0.780228\pi\) |
−0.166063 | − | 0.986115i | \(-0.553105\pi\) | |||||||
\(740\) | −226.503 | − | 918.820i | −0.306086 | − | 1.24165i | ||||
\(741\) | −103.779 | − | 240.288i | −0.140052 | − | 0.324276i | ||||
\(742\) | 27.6866 | − | 0.975107i | 0.0373135 | − | 0.00131416i | ||||
\(743\) | −82.8544 | −0.111513 | −0.0557566 | − | 0.998444i | \(-0.517757\pi\) | ||||
−0.0557566 | + | 0.998444i | \(0.517757\pi\) | |||||||
\(744\) | −22.3303 | + | 191.798i | −0.0300139 | + | 0.257793i | ||||
\(745\) | 454.316 | + | 131.577i | 0.609821 | + | 0.176613i | ||||
\(746\) | 33.3785 | − | 19.2711i | 0.0447432 | − | 0.0258325i | ||||
\(747\) | 92.8756 | + | 309.211i | 0.124331 | + | 0.413937i | ||||
\(748\) | 212.385i | 0.283937i | ||||||||
\(749\) | −599.304 | + | 1127.94i | −0.800139 | + | 1.50593i | ||||
\(750\) | 27.3437 | − | 58.3824i | 0.0364583 | − | 0.0778432i | ||||
\(751\) | −193.183 | + | 334.603i | −0.257234 | + | 0.445543i | −0.965500 | − | 0.260403i | \(-0.916145\pi\) |
0.708266 | + | 0.705946i | \(0.249478\pi\) | |||||||
\(752\) | −408.585 | − | 707.689i | −0.543331 | − | 0.941076i | ||||
\(753\) | −398.159 | + | 535.324i | −0.528764 | + | 0.710922i | ||||
\(754\) | 20.6835 | − | 35.8248i | 0.0274317 | − | 0.0475130i | ||||
\(755\) | −102.730 | − | 106.946i | −0.136066 | − | 0.141650i | ||||
\(756\) | −733.757 | + | 157.232i | −0.970578 | + | 0.207978i | ||||
\(757\) | 1387.66i | 1.83311i | 0.399908 | + | 0.916555i | \(0.369042\pi\) | ||||
−0.399908 | + | 0.916555i | \(0.630958\pi\) | |||||||
\(758\) | 37.9816 | − | 65.7861i | 0.0501077 | − | 0.0867891i | ||||
\(759\) | −491.971 | + | 661.454i | −0.648183 | + | 0.871481i | ||||
\(760\) | −22.6384 | + | 78.1673i | −0.0297874 | + | 0.102852i | ||||
\(761\) | 500.579 | + | 289.009i | 0.657791 | + | 0.379776i | 0.791435 | − | 0.611254i | \(-0.209334\pi\) |
−0.133644 | + | 0.991029i | \(0.542668\pi\) | |||||||
\(762\) | 26.9921 | + | 62.4972i | 0.0354227 | + | 0.0820173i | ||||
\(763\) | −126.551 | − | 202.389i | −0.165859 | − | 0.265254i | ||||
\(764\) | − | 943.916i | − | 1.23549i | ||||||
\(765\) | −101.993 | + | 180.761i | −0.133324 | + | 0.236288i | ||||
\(766\) | −12.2894 | − | 21.2858i | −0.0160436 | − | 0.0277883i | ||||
\(767\) | 4.65299 | + | 8.05922i | 0.00606649 | + | 0.0105075i | ||||
\(768\) | −82.3255 | + | 707.105i | −0.107195 | + | 0.920709i | ||||
\(769\) | 622.200 | 0.809103 | 0.404551 | − | 0.914515i | \(-0.367428\pi\) | ||||
0.404551 | + | 0.914515i | \(0.367428\pi\) | |||||||
\(770\) | 19.0775 | + | 67.1263i | 0.0247759 | + | 0.0871770i | ||||
\(771\) | 1003.31 | − | 433.321i | 1.30131 | − | 0.562024i | ||||
\(772\) | −725.508 | − | 418.872i | −0.939778 | − | 0.542581i | ||||
\(773\) | 511.015 | + | 885.105i | 0.661081 | + | 1.14503i | 0.980332 | + | 0.197355i | \(0.0632353\pi\) |
−0.319251 | + | 0.947670i | \(0.603431\pi\) | |||||||
\(774\) | −5.02067 | + | 21.2693i | −0.00648666 | + | 0.0274798i | ||||
\(775\) | −992.573 | − | 627.566i | −1.28074 | − | 0.809763i | ||||
\(776\) | − | 36.9317i | − | 0.0475924i | ||||||
\(777\) | 429.006 | + | 904.452i | 0.552132 | + | 1.16403i | ||||
\(778\) | − | 7.07541i | − | 0.00909436i | ||||||
\(779\) | 727.545 | + | 420.048i | 0.933947 | + | 0.539215i | ||||
\(780\) | −434.000 | + | 54.8835i | −0.556410 | + | 0.0703635i | ||||
\(781\) | −279.503 | − | 484.113i | −0.357878 | − | 0.619863i | ||||
\(782\) | 9.39316 | − | 16.2694i | 0.0120117 | − | 0.0208049i | ||||
\(783\) | −831.564 | − | 301.391i | −1.06202 | − | 0.384919i | ||||
\(784\) | −335.672 | + | 689.274i | −0.428153 | + | 0.879176i | ||||
\(785\) | −165.712 | + | 159.180i | −0.211098 | + | 0.202777i | ||||
\(786\) | 41.1113 | + | 4.78644i | 0.0523045 | + | 0.00608961i | ||||
\(787\) | 1151.46 | − | 664.796i | 1.46310 | − | 0.844722i | 0.463947 | − | 0.885863i | \(-0.346433\pi\) |
0.999153 | + | 0.0411411i | \(0.0130993\pi\) | |||||||
\(788\) | −751.871 | − | 1302.28i | −0.954151 | − | 1.65264i | ||||
\(789\) | 125.744 | − | 1080.03i | 0.159371 | − | 1.36886i | ||||
\(790\) | −41.0292 | − | 42.7129i | −0.0519357 | − | 0.0540670i | ||||
\(791\) | −448.014 | + | 15.7788i | −0.566389 | + | 0.0199479i | ||||
\(792\) | −104.122 | − | 98.0569i | −0.131467 | − | 0.123809i | ||||
\(793\) | −411.283 | − | 237.454i | −0.518642 | − | 0.299438i | ||||
\(794\) | 56.2033 | − | 32.4490i | 0.0707850 | − | 0.0408678i | ||||
\(795\) | −43.3234 | − | 342.587i | −0.0544949 | − | 0.430927i | ||||
\(796\) | −378.111 | + | 654.908i | −0.475014 | + | 0.822748i | ||||
\(797\) | −133.172 | −0.167092 | −0.0835458 | − | 0.996504i | \(-0.526624\pi\) | ||||
−0.0835458 | + | 0.996504i | \(0.526624\pi\) | |||||||
\(798\) | 3.45685 | − | 42.7431i | 0.00433190 | − | 0.0535628i | ||||
\(799\) | 240.886 | 0.301485 | ||||||||
\(800\) | 172.655 | + | 109.163i | 0.215819 | + | 0.136454i | ||||
\(801\) | −263.912 | + | 1118.03i | −0.329479 | + | 1.39579i | ||||
\(802\) | 14.0295 | − | 8.09996i | 0.0174932 | − | 0.0100997i | ||||
\(803\) | 721.578 | − | 1249.81i | 0.898602 | − | 1.55643i | ||||
\(804\) | −93.6694 | − | 216.881i | −0.116504 | − | 0.269753i | ||||
\(805\) | −202.505 | + | 804.142i | −0.251558 | + | 0.998934i | ||||
\(806\) | − | 59.3156i | − | 0.0735926i | ||||||
\(807\) | −943.305 | − | 109.825i | −1.16890 | − | 0.136091i | ||||
\(808\) | 21.7281 | − | 12.5447i | 0.0268912 | − | 0.0155256i | ||||
\(809\) | −347.381 | + | 200.561i | −0.429396 | + | 0.247912i | −0.699089 | − | 0.715034i | \(-0.746411\pi\) |
0.269693 | + | 0.962946i | \(0.413078\pi\) | |||||||
\(810\) | −20.6874 | − | 66.4816i | −0.0255400 | − | 0.0820760i | ||||
\(811\) | −393.851 | −0.485636 | −0.242818 | − | 0.970072i | \(-0.578072\pi\) | ||||
−0.242818 | + | 0.970072i | \(0.578072\pi\) | |||||||
\(812\) | −771.986 | + | 482.711i | −0.950722 | + | 0.594472i | ||||
\(813\) | −136.719 | + | 59.0479i | −0.168166 | + | 0.0726296i | ||||
\(814\) | −47.5219 | + | 82.3103i | −0.0583807 | + | 0.101118i | ||||
\(815\) | 1021.66 | + | 295.888i | 1.25357 | + | 0.363053i | ||||
\(816\) | −173.711 | − | 129.201i | −0.212881 | − | 0.158335i | ||||
\(817\) | 145.294 | + | 83.8854i | 0.177838 | + | 0.102675i | ||||
\(818\) | −91.0717 | −0.111335 | ||||||||
\(819\) | 438.228 | − | 148.634i | 0.535077 | − | 0.181483i | ||||
\(820\) | 1012.59 | − | 972.677i | 1.23487 | − | 1.18619i | ||||
\(821\) | 1249.35 | + | 721.310i | 1.52174 | + | 0.878575i | 0.999670 | + | 0.0256698i | \(0.00817183\pi\) |
0.522066 | + | 0.852905i | \(0.325161\pi\) | |||||||
\(822\) | −64.3469 | − | 47.8594i | −0.0782809 | − | 0.0582231i | ||||
\(823\) | −819.737 | + | 473.275i | −0.996035 | + | 0.575061i | −0.907073 | − | 0.420974i | \(-0.861688\pi\) |
−0.0889621 | + | 0.996035i | \(0.528355\pi\) | |||||||
\(824\) | −36.8825 | − | 21.2941i | −0.0447603 | − | 0.0258424i | ||||
\(825\) | 811.758 | − | 312.508i | 0.983949 | − | 0.378797i | ||||
\(826\) | 0.0536644 | + | 1.52371i | 6.49690e−5 | + | 0.00184469i | ||||
\(827\) | 1302.22 | 1.57463 | 0.787313 | − | 0.616554i | \(-0.211472\pi\) | ||||
0.787313 | + | 0.616554i | \(0.211472\pi\) | |||||||
\(828\) | −243.550 | − | 810.851i | −0.294142 | − | 0.979289i | ||||
\(829\) | 431.724 | + | 747.768i | 0.520777 | + | 0.902012i | 0.999708 | + | 0.0241599i | \(0.00769107\pi\) |
−0.478931 | + | 0.877853i | \(0.658976\pi\) | |||||||
\(830\) | −8.57801 | + | 29.6186i | −0.0103349 | + | 0.0356851i | ||||
\(831\) | −328.284 | − | 38.2209i | −0.395047 | − | 0.0459939i | ||||
\(832\) | − | 449.381i | − | 0.540122i | ||||||
\(833\) | −126.489 | − | 187.286i | −0.151847 | − | 0.224833i | ||||
\(834\) | 62.1722 | − | 26.8517i | 0.0745470 | − | 0.0321963i | ||||
\(835\) | 56.0927 | − | 13.8277i | 0.0671769 | − | 0.0165601i | ||||
\(836\) | −473.687 | + | 273.483i | −0.566611 | + | 0.327133i | ||||
\(837\) | −1248.70 | + | 221.922i | −1.49188 | + | 0.265140i | ||||
\(838\) | 31.0556 | + | 17.9300i | 0.0370592 | + | 0.0213961i | ||||
\(839\) | − | 1072.55i | − | 1.27836i | −0.769057 | − | 0.639181i | \(-0.779274\pi\) | ||
0.769057 | − | 0.639181i | \(-0.220726\pi\) | |||||||
\(840\) | −134.521 | − | 51.0339i | −0.160144 | − | 0.0607547i | ||||
\(841\) | −232.163 | −0.276056 | ||||||||
\(842\) | −32.8825 | + | 56.9542i | −0.0390529 | + | 0.0676415i | ||||
\(843\) | 716.602 | − | 963.470i | 0.850062 | − | 1.14291i | ||||
\(844\) | 112.974 | + | 195.676i | 0.133855 | + | 0.231844i | ||||
\(845\) | −558.519 | + | 137.684i | −0.660969 | + | 0.162939i | ||||
\(846\) | −55.4017 | + | 58.8286i | −0.0654866 | + | 0.0695373i | ||||
\(847\) | −44.3691 | + | 83.5062i | −0.0523838 | + | 0.0985905i | ||||
\(848\) | 360.192 | 0.424754 | ||||||||
\(849\) | −953.398 | − | 111.001i | −1.12297 | − | 0.130743i | ||||
\(850\) | −17.5516 | + | 9.21337i | −0.0206489 | + | 0.0108393i | ||||
\(851\) | −978.090 | + | 564.701i | −1.14934 | + | 0.663573i | ||||
\(852\) | 570.266 | + | 66.3939i | 0.669326 | + | 0.0779271i | ||||
\(853\) | 328.468i | 0.385074i | 0.981290 | + | 0.192537i | \(0.0616715\pi\) | ||||
−0.981290 | + | 0.192537i | \(0.938328\pi\) | |||||||
\(854\) | −41.2512 | − | 65.9720i | −0.0483035 | − | 0.0772505i | ||||
\(855\) | −534.488 | + | 5.28498i | −0.625132 | + | 0.00618126i | ||||
\(856\) | 125.012 | − | 216.527i | 0.146042 | − | 0.252953i | ||||
\(857\) | −404.874 | − | 701.262i | −0.472431 | − | 0.818275i | 0.527071 | − | 0.849821i | \(-0.323290\pi\) |
−0.999502 | + | 0.0315461i | \(0.989957\pi\) | |||||||
\(858\) | 35.2536 | + | 26.2207i | 0.0410882 | + | 0.0305602i | ||||
\(859\) | 288.964 | − | 500.501i | 0.336396 | − | 0.582655i | −0.647356 | − | 0.762188i | \(-0.724125\pi\) |
0.983752 | + | 0.179533i | \(0.0574585\pi\) | |||||||
\(860\) | 202.219 | − | 194.247i | 0.235138 | − | 0.225869i | ||||
\(861\) | −843.901 | + | 1222.22i | −0.980141 | + | 1.41954i | ||||
\(862\) | 80.1027i | 0.0929266i | ||||||||
\(863\) | 270.895 | − | 469.205i | 0.313900 | − | 0.543690i | −0.665303 | − | 0.746573i | \(-0.731698\pi\) |
0.979203 | + | 0.202883i | \(0.0650311\pi\) | |||||||
\(864\) | 217.208 | − | 38.6027i | 0.251399 | − | 0.0446791i | ||||
\(865\) | −5.43380 | + | 18.7621i | −0.00628185 | + | 0.0216903i | ||||
\(866\) | −114.496 | − | 66.1045i | −0.132213 | − | 0.0763332i | ||||
\(867\) | −737.352 | + | 318.457i | −0.850463 | + | 0.367309i | ||||
\(868\) | −612.564 | + | 1152.89i | −0.705718 | + | 1.32822i | ||||
\(869\) | − | 799.109i | − | 0.919573i | ||||||
\(870\) | −51.0836 | − | 67.2822i | −0.0587167 | − | 0.0773358i | ||||
\(871\) | 72.8409 | + | 126.164i | 0.0836290 | + | 0.144850i | ||||
\(872\) | 23.3624 | + | 40.4649i | 0.0267918 | + | 0.0464047i | ||||
\(873\) | 232.320 | − | 69.7803i | 0.266117 | − | 0.0799316i | ||||
\(874\) | 48.3814 | 0.0553563 | ||||||||
\(875\) | 634.054 | − | 602.993i | 0.724633 | − | 0.689135i | ||||
\(876\) | 587.671 | + | 1360.69i | 0.670858 | + | 1.55330i | ||||
\(877\) | −1078.25 | − | 622.527i | −1.22947 | − | 0.709837i | −0.262554 | − | 0.964917i | \(-0.584565\pi\) |
−0.966920 | + | 0.255080i | \(0.917898\pi\) | |||||||
\(878\) | 22.1864 | + | 38.4281i | 0.0252693 | + | 0.0437677i | ||||
\(879\) | 791.285 | + | 588.536i | 0.900211 | + | 0.669551i | ||||
\(880\) | 217.164 | + | 880.935i | 0.246777 | + | 1.00106i | ||||
\(881\) | 1358.85i | 1.54239i | 0.636596 | + | 0.771197i | \(0.280342\pi\) | ||||
−0.636596 | + | 0.771197i | \(0.719658\pi\) | |||||||
\(882\) | 74.8296 | + | 12.1834i | 0.0848408 | + | 0.0138134i | ||||
\(883\) | 130.644i | 0.147954i | 0.997260 | + | 0.0739771i | \(0.0235692\pi\) | ||||
−0.997260 | + | 0.0739771i | \(0.976431\pi\) | |||||||
\(884\) | 116.489 | + | 67.2548i | 0.131775 | + | 0.0760800i | ||||
\(885\) | 18.8540 | − | 2.38428i | 0.0213040 | − | 0.00269410i | ||||
\(886\) | 34.7660 | + | 60.2164i | 0.0392392 | + | 0.0679644i | ||||
\(887\) | 131.126 | − | 227.117i | 0.147831 | − | 0.256050i | −0.782595 | − | 0.622532i | \(-0.786104\pi\) |
0.930425 | + | 0.366481i | \(0.119438\pi\) | |||||||
\(888\) | −77.6941 | − | 179.892i | −0.0874934 | − | 0.202581i | ||||
\(889\) | 32.5218 | + | 923.404i | 0.0365825 | + | 1.03870i | ||||
\(890\) | −79.1248 | + | 76.0058i | −0.0889042 | + | 0.0853997i | ||||
\(891\) | 420.097 | − | 840.256i | 0.471489 | − | 0.943049i | ||||
\(892\) | −362.964 | + | 209.557i | −0.406910 | + | 0.234930i | ||||
\(893\) | 310.184 | + | 537.254i | 0.347350 | + | 0.601629i | ||||
\(894\) | 48.4610 | + | 5.64213i | 0.0542069 | + | 0.00631110i | ||||
\(895\) | −794.050 | + | 762.750i | −0.887207 | + | 0.852234i | ||||
\(896\) | 141.892 | − | 267.053i | 0.158362 | − | 0.298050i | ||||
\(897\) | 207.004 | + | 479.294i | 0.230773 | + | 0.534330i | ||||
\(898\) | 3.58348 | + | 2.06892i | 0.00399051 | + | 0.00230392i | ||||
\(899\) | −1332.64 | + | 769.398i | −1.48236 | + | 0.855838i | ||||
\(900\) | −240.019 | + | 860.503i | −0.266688 | + | 0.956114i | ||||
\(901\) | −53.0889 | + | 91.9527i | −0.0589222 | + | 0.102056i | ||||
\(902\) | −141.018 | −0.156339 | ||||||||
\(903\) | −168.531 | + | 244.083i | −0.186634 | + | 0.270302i | ||||
\(904\) | 87.7529 | 0.0970718 | ||||||||
\(905\) | −377.966 | + | 93.1744i | −0.417642 | + | 0.102955i | ||||
\(906\) | −12.2737 | − | 9.12883i | −0.0135471 | − | 0.0100760i | ||||
\(907\) | 605.517 | − | 349.595i | 0.667604 | − | 0.385441i | −0.127564 | − | 0.991830i | \(-0.540716\pi\) |
0.795168 | + | 0.606389i | \(0.207383\pi\) | |||||||
\(908\) | −767.724 | + | 1329.74i | −0.845512 | + | 1.46447i | ||||
\(909\) | 119.967 | + | 112.979i | 0.131977 | + | 0.124289i | ||||
\(910\) | 42.8585 | + | 10.7929i | 0.0470972 | + | 0.0118604i | ||||
\(911\) | 932.168i | 1.02324i | 0.859213 | + | 0.511618i | \(0.170954\pi\) | ||||
−0.859213 | + | 0.511618i | \(0.829046\pi\) | |||||||
\(912\) | 64.4769 | − | 553.800i | 0.0706983 | − | 0.607237i | ||||
\(913\) | −360.309 | + | 208.024i | −0.394643 | + | 0.227847i | ||||
\(914\) | 31.5746 | − | 18.2296i | 0.0345455 | − | 0.0199448i | ||||
\(915\) | −772.426 | + | 586.459i | −0.844181 | + | 0.640939i | ||||
\(916\) | −111.897 | −0.122159 | ||||||||
\(917\) | 496.078 | + | 263.579i | 0.540979 | + | 0.287437i | ||||
\(918\) | −7.29497 | + | 20.1274i | −0.00794659 | + | 0.0219253i | ||||
\(919\) | 421.415 | − | 729.912i | 0.458558 | − | 0.794246i | −0.540327 | − | 0.841455i | \(-0.681699\pi\) |
0.998885 | + | 0.0472093i | \(0.0150328\pi\) | |||||||
\(920\) | 45.1561 | − | 155.918i | 0.0490827 | − | 0.169476i | ||||
\(921\) | 776.380 | − | 1043.84i | 0.842975 | − | 1.13338i | ||||
\(922\) | −46.9883 | − | 27.1287i | −0.0509634 | − | 0.0294237i | ||||
\(923\) | −354.034 | −0.383569 | ||||||||
\(924\) | −414.425 | − | 873.712i | −0.448512 | − | 0.945576i | ||||
\(925\) | 1190.75 | + | 47.9011i | 1.28730 | + | 0.0517850i | ||||
\(926\) | 91.1978 | + | 52.6531i | 0.0984857 | + | 0.0568608i | ||||
\(927\) | 64.2639 | − | 272.245i | 0.0693246 | − | 0.293684i | ||||
\(928\) | 231.808 | − | 133.835i | 0.249793 | − | 0.144218i | ||||
\(929\) | 498.241 | + | 287.660i | 0.536320 | + | 0.309645i | 0.743586 | − | 0.668640i | \(-0.233123\pi\) |
−0.207266 | + | 0.978285i | \(0.566457\pi\) | |||||||
\(930\) | −111.672 | − | 46.9259i | −0.120078 | − | 0.0504579i | ||||
\(931\) | 254.831 | − | 523.274i | 0.273718 | − | 0.562056i | ||||
\(932\) | 1358.02 | 1.45710 | ||||||||
\(933\) | 1067.06 | + | 124.233i | 1.14368 | + | 0.133155i | ||||
\(934\) | 34.6194 | + | 59.9626i | 0.0370658 | + | 0.0641998i | ||||
\(935\) | −256.900 | − | 74.4022i | −0.274760 | − | 0.0795746i | ||||
\(936\) | −86.7539 | + | 26.0577i | −0.0926858 | + | 0.0278394i | ||||
\(937\) | 23.2884i | 0.0248542i | 0.999923 | + | 0.0124271i | \(0.00395577\pi\) | ||||
−0.999923 | + | 0.0124271i | \(0.996044\pi\) | |||||||
\(938\) | 0.840096 | + | 23.8532i | 0.000895625 | + | 0.0254298i | ||||
\(939\) | −265.959 | − | 615.798i | −0.283236 | − | 0.655802i | ||||
\(940\) | 1006.70 | − | 248.168i | 1.07096 | − | 0.264008i | ||||
\(941\) | 338.756 | − | 195.581i | 0.359996 | − | 0.207844i | −0.309083 | − | 0.951035i | \(-0.600022\pi\) |
0.669079 | + | 0.743191i | \(0.266689\pi\) | |||||||
\(942\) | −14.1451 | + | 19.0181i | −0.0150160 | + | 0.0201890i | ||||
\(943\) | −1451.21 | − | 837.855i | −1.53893 | − | 0.888500i | ||||
\(944\) | 19.8229i | 0.0209988i | ||||||||
\(945\) | 66.8613 | − | 942.632i | 0.0707527 | − | 0.997494i | ||||
\(946\) | −28.1619 | −0.0297694 | ||||||||
\(947\) | −343.972 | + | 595.777i | −0.363223 | + | 0.629120i | −0.988489 | − | 0.151291i | \(-0.951657\pi\) |
0.625267 | + | 0.780411i | \(0.284990\pi\) | |||||||
\(948\) | 658.533 | + | 489.798i | 0.694655 | + | 0.516665i | ||||
\(949\) | −456.996 | − | 791.540i | −0.481555 | − | 0.834078i | ||||
\(950\) | −43.1496 | − | 27.2818i | −0.0454206 | − | 0.0287177i | ||||
\(951\) | −1476.27 | + | 637.590i | −1.55233 | + | 0.670441i | ||||
\(952\) | 23.4543 | + | 37.5099i | 0.0246369 | + | 0.0394011i | ||||
\(953\) | −650.515 | −0.682597 | −0.341299 | − | 0.939955i | \(-0.610867\pi\) | ||||
−0.341299 | + | 0.939955i | \(0.610867\pi\) | |||||||
\(954\) | −10.2464 | − | 34.1135i | −0.0107405 | − | 0.0357584i | ||||
\(955\) | 1141.76 | + | 330.671i | 1.19556 | + | 0.346252i | ||||
\(956\) | −363.065 | + | 209.616i | −0.379775 | + | 0.219263i | ||||
\(957\) | 131.813 | − | 1132.15i | 0.137735 | − | 1.18302i | ||||
\(958\) | − | 46.1422i | − | 0.0481651i | ||||||
\(959\) | −577.057 | − | 922.871i | −0.601727 | − | 0.962326i | ||||
\(960\) | −846.042 | − | 355.515i | −0.881293 | − | 0.370329i | ||||
\(961\) | −622.732 | + | 1078.60i | −0.648004 | + | 1.12238i | ||||
\(962\) | 30.0970 | + | 52.1295i | 0.0312858 | + | 0.0541886i | ||||
\(963\) | 1598.28 | + | 377.276i | 1.65968 | + | 0.391772i | ||||
\(964\) | 37.8613 | − | 65.5777i | 0.0392752 | − | 0.0680266i | ||||
\(965\) | 760.825 | − | 730.835i | 0.788420 | − | 0.757342i | ||||
\(966\) | −6.89526 | + | 85.2582i | −0.00713795 | + | 0.0882590i | ||||
\(967\) | − | 1283.37i | − | 1.32717i | −0.748100 | − | 0.663586i | \(-0.769034\pi\) | ||
0.748100 | − | 0.663586i | \(-0.230966\pi\) | |||||||
\(968\) | 9.25519 | − | 16.0305i | 0.00956115 | − | 0.0165604i | ||||
\(969\) | 131.875 | + | 98.0852i | 0.136094 | + | 0.101223i | ||||
\(970\) | 22.2534 | + | 6.44492i | 0.0229416 | + | 0.00664425i | ||||
\(971\) | 197.998 | + | 114.314i | 0.203912 | + | 0.117728i | 0.598479 | − | 0.801139i | \(-0.295772\pi\) |
−0.394567 | + | 0.918867i | \(0.629105\pi\) | |||||||
\(972\) | 434.952 | + | 861.215i | 0.447482 | + | 0.886023i | ||||
\(973\) | 918.602 | − | 32.3527i | 0.944092 | − | 0.0332504i | ||||
\(974\) | 12.0955i | 0.0124184i | ||||||||
\(975\) | 85.6509 | − | 544.192i | 0.0878471 | − | 0.558146i | ||||
\(976\) | −505.807 | − | 876.084i | −0.518245 | − | 0.897627i | ||||
\(977\) | −757.438 | − | 1311.92i | −0.775270 | − | 1.34281i | −0.934643 | − | 0.355588i | \(-0.884281\pi\) |
0.159373 | − | 0.987218i | \(-0.449053\pi\) | |||||||
\(978\) | 108.978 | + | 12.6879i | 0.111430 | + | 0.0129733i | ||||
\(979\) | −1480.33 | −1.51209 | ||||||||
\(980\) | −721.563 | − | 652.386i | −0.736289 | − | 0.665700i | ||||
\(981\) | −210.404 | + | 223.418i | −0.214479 | + | 0.227745i | ||||
\(982\) | −85.3928 | − | 49.3016i | −0.0869581 | − | 0.0502053i | ||||
\(983\) | −10.5805 | − | 18.3259i | −0.0107635 | − | 0.0186429i | 0.860594 | − | 0.509292i | \(-0.170093\pi\) |
−0.871357 | + | 0.490650i | \(0.836760\pi\) | |||||||
\(984\) | 173.512 | − | 233.286i | 0.176333 | − | 0.237080i | ||||
\(985\) | 1838.63 | − | 453.250i | 1.86663 | − | 0.460152i | ||||
\(986\) | 25.9752i | 0.0263440i | ||||||||
\(987\) | −990.961 | + | 470.040i | −1.00401 | + | 0.476231i | ||||
\(988\) | 346.410i | 0.350617i | ||||||||
\(989\) | −289.812 | − | 167.323i | −0.293036 | − | 0.169184i | ||||
\(990\) | 77.2551 | − | 45.6276i | 0.0780354 | − | 0.0460885i | ||||
\(991\) | 439.883 | + | 761.900i | 0.443878 | + | 0.768819i | 0.997973 | − | 0.0636342i | \(-0.0202691\pi\) |
−0.554095 | + | 0.832453i | \(0.686936\pi\) | |||||||
\(992\) | 191.904 | − | 332.387i | 0.193452 | − | 0.335068i | ||||
\(993\) | 592.766 | − | 256.011i | 0.596944 | − | 0.257816i | ||||
\(994\) | −51.2222 | − | 27.2157i | −0.0515314 | − | 0.0273800i | ||||
\(995\) | −659.716 | − | 686.788i | −0.663031 | − | 0.690239i | ||||
\(996\) | 49.4148 | − | 424.430i | 0.0496132 | − | 0.426134i | ||||
\(997\) | 1155.75 | − | 667.271i | 1.15922 | − | 0.669279i | 0.208107 | − | 0.978106i | \(-0.433270\pi\) |
0.951118 | + | 0.308827i | \(0.0999366\pi\) | |||||||
\(998\) | 3.37740 | + | 5.84982i | 0.00338417 | + | 0.00586155i | ||||
\(999\) | 984.818 | − | 828.633i | 0.985804 | − | 0.829463i |
(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 | 105.3.o.b.44.11 | yes | 40 | |
3.2 | odd | 2 | inner | 105.3.o.b.44.9 | ✓ | 40 | |
5.4 | even | 2 | inner | 105.3.o.b.44.10 | yes | 40 | |
7.4 | even | 3 | inner | 105.3.o.b.74.12 | yes | 40 | |
15.14 | odd | 2 | inner | 105.3.o.b.44.12 | yes | 40 | |
21.11 | odd | 6 | inner | 105.3.o.b.74.10 | yes | 40 | |
35.4 | even | 6 | inner | 105.3.o.b.74.9 | yes | 40 | |
105.74 | odd | 6 | inner | 105.3.o.b.74.11 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.o.b.44.9 | ✓ | 40 | 3.2 | odd | 2 | inner | |
105.3.o.b.44.10 | yes | 40 | 5.4 | even | 2 | inner | |
105.3.o.b.44.11 | yes | 40 | 1.1 | even | 1 | trivial | |
105.3.o.b.44.12 | yes | 40 | 15.14 | odd | 2 | inner | |
105.3.o.b.74.9 | yes | 40 | 35.4 | even | 6 | inner | |
105.3.o.b.74.10 | yes | 40 | 21.11 | odd | 6 | inner | |
105.3.o.b.74.11 | yes | 40 | 105.74 | odd | 6 | inner | |
105.3.o.b.74.12 | yes | 40 | 7.4 | even | 3 | inner |