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 | 74.9 | ||
Character | \(\chi\) | \(=\) | 105.74 |
Dual form | 105.3.o.b.44.9 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 | \(-0.180352\pi\) |
−0.886715 | + | 0.462317i | \(0.847018\pi\) | |||||||
\(3\) | 0.346935 | − | 2.97987i | 0.115645 | − | 0.993291i | ||||
\(4\) | 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 | ||||||||
\(9\) | −8.75927 | − | 2.06764i | −0.973252 | − | 0.229738i | ||||
\(10\) | −0.239121 | − | 0.825650i | −0.0239121 | − | 0.0825650i | ||||
\(11\) | 10.0440 | + | 5.79890i | 0.913089 | + | 0.527172i | 0.881424 | − | 0.472326i | \(-0.156586\pi\) |
0.0316655 | + | 0.999499i | \(0.489919\pi\) | |||||||
\(12\) | −9.55756 | − | 7.10865i | −0.796464 | − | 0.592387i | ||||
\(13\) | − | 7.34521i | − | 0.565016i | −0.959265 | − | 0.282508i | \(-0.908834\pi\) | ||
0.959265 | − | 0.282508i | \(-0.0911665\pi\) | |||||||
\(14\) | 0.564650 | + | 1.06272i | 0.0403322 | + | 0.0759084i | ||||
\(15\) | 5.25042 | − | 14.0511i | 0.350028 | − | 0.936739i | ||||
\(16\) | −7.82311 | − | 13.5500i | −0.488944 | − | 0.846876i | ||||
\(17\) | 2.30611 | − | 3.99429i | 0.135653 | − | 0.234958i | −0.790194 | − | 0.612857i | \(-0.790020\pi\) |
0.925847 | + | 0.377899i | \(0.123353\pi\) | |||||||
\(18\) | 0.445091 | + | 1.48184i | 0.0247273 | + | 0.0823246i | ||||
\(19\) | 5.93904 | + | 10.2867i | 0.312581 | + | 0.541406i | 0.978920 | − | 0.204242i | \(-0.0654730\pi\) |
−0.666339 | + | 0.745649i | \(0.732140\pi\) | |||||||
\(20\) | 13.7526 | − | 14.3170i | 0.687631 | − | 0.715849i | ||||
\(21\) | −3.16123 | + | 20.7607i | −0.150535 | + | 0.988605i | ||||
\(22\) | − | 1.99385i | − | 0.0906293i | ||||||
\(23\) | 11.8464 | + | 20.5186i | 0.515061 | + | 0.892111i | 0.999847 | + | 0.0174789i | \(0.00556398\pi\) |
−0.484786 | + | 0.874633i | \(0.661103\pi\) | |||||||
\(24\) | −0.475387 | + | 4.08316i | −0.0198078 | + | 0.170132i | ||||
\(25\) | 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 | \(-0.191052\pi\) | |||||||
\(30\) | −2.54329 | + | 0.426102i | −0.0847764 | + | 0.0142034i | ||||
\(31\) | −23.4865 | + | 40.6798i | −0.757629 | + | 1.31225i | 0.186427 | + | 0.982469i | \(0.440309\pi\) |
−0.944057 | + | 0.329784i | \(0.893024\pi\) | |||||||
\(32\) | −4.08541 | + | 7.07614i | −0.127669 | + | 0.221129i | ||||
\(33\) | 20.7646 | − | 27.9179i | 0.629230 | − | 0.845998i | ||||
\(34\) | −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 | 0.175426 | − | 0.984493i | \(-0.443870\pi\) |
0.940309 | + | 0.340323i | \(0.110536\pi\) | |||||||
\(38\) | 1.02102 | − | 1.76845i | 0.0268688 | − | 0.0465382i | ||||
\(39\) | −21.8878 | − | 2.54831i | −0.561226 | − | 0.0653414i | ||||
\(40\) | −6.65209 | − | 1.63984i | −0.166302 | − | 0.0409961i | ||||
\(41\) | 70.7266i | 1.72504i | 0.506024 | + | 0.862520i | \(0.331115\pi\) | ||||
−0.506024 | + | 0.862520i | \(0.668885\pi\) | |||||||
\(42\) | 3.36266 | − | 1.31389i | 0.0800633 | − | 0.0312831i | ||||
\(43\) | − | 14.1244i | − | 0.328474i | −0.986421 | − | 0.164237i | \(-0.947484\pi\) | ||
0.986421 | − | 0.164237i | \(-0.0525162\pi\) | |||||||
\(44\) | 39.8791 | − | 23.0242i | 0.906343 | − | 0.523277i | ||||
\(45\) | −40.0489 | − | 20.5204i | −0.889975 | − | 0.456009i | ||||
\(46\) | 2.03658 | − | 3.52747i | 0.0442736 | − | 0.0766841i | ||||
\(47\) | 26.1140 | + | 45.2307i | 0.555616 | + | 0.962356i | 0.997855 | + | 0.0654585i | \(0.0208510\pi\) |
−0.442239 | + | 0.896897i | \(0.645816\pi\) | |||||||
\(48\) | −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 | ||||
\(51\) | −11.1024 | − | 8.25766i | −0.217694 | − | 0.161915i | ||||
\(52\) | −25.2566 | − | 14.5819i | −0.485703 | − | 0.280421i | ||||
\(53\) | 11.5105 | − | 19.9368i | 0.217179 | − | 0.376166i | −0.736765 | − | 0.676149i | \(-0.763648\pi\) |
0.953945 | + | 0.299983i | \(0.0969810\pi\) | |||||||
\(54\) | 4.57012 | − | 0.812210i | 0.0846318 | − | 0.0150409i | ||||
\(55\) | 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 | \(-0.336751\pi\) |
−0.509270 | + | 0.860607i | \(0.670084\pi\) | |||||||
\(60\) | −37.8915 | − | 45.9481i | −0.631525 | − | 0.765802i | ||||
\(61\) | −32.3278 | − | 55.9933i | −0.529963 | − | 0.917923i | −0.999389 | − | 0.0349515i | \(-0.988872\pi\) |
0.469426 | − | 0.882972i | \(-0.344461\pi\) | |||||||
\(62\) | 8.07541 | 0.130249 | ||||||||
\(63\) | 60.7675 | + | 16.6227i | 0.964563 | + | 0.263852i | ||||
\(64\) | −61.1802 | −0.955940 | ||||||||
\(65\) | 8.79039 | − | 35.6586i | 0.135237 | − | 0.548593i | ||||
\(66\) | −5.94140 | − | 0.691735i | −0.0900213 | − | 0.0104808i | ||||
\(67\) | 17.1764 | + | 9.91678i | 0.256364 | + | 0.148012i | 0.622675 | − | 0.782481i | \(-0.286046\pi\) |
−0.366311 | + | 0.930493i | \(0.619379\pi\) | |||||||
\(68\) | −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 | \(0.889765\pi\) | |||||||
\(72\) | 12.0024 | + | 2.83318i | 0.166699 | + | 0.0393498i | ||||
\(73\) | −107.763 | − | 62.2168i | −1.47620 | − | 0.852285i | −0.476562 | − | 0.879141i | \(-0.658117\pi\) |
−0.999639 | + | 0.0268558i | \(0.991451\pi\) | |||||||
\(74\) | −7.09706 | − | 4.09749i | −0.0959063 | − | 0.0553715i | ||||
\(75\) | 42.3047 | − | 61.9299i | 0.564062 | − | 0.825732i | ||||
\(76\) | 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 | 0.561296 | − | 0.827615i | \(-0.310303\pi\) |
−0.997384 | + | 0.0722896i | \(0.976969\pi\) | |||||||
\(80\) | −21.7626 | − | 75.1431i | −0.272032 | − | 0.939289i | ||||
\(81\) | 72.4497 | + | 36.2221i | 0.894441 | + | 0.447187i | ||||
\(82\) | 10.5300 | − | 6.07951i | 0.128415 | − | 0.0741404i | ||||
\(83\) | −35.8731 | −0.432206 | −0.216103 | − | 0.976371i | \(-0.569335\pi\) | ||||
−0.216103 | + | 0.976371i | \(0.569335\pi\) | |||||||
\(84\) | 65.1100 | + | 52.0845i | 0.775120 | + | 0.620054i | ||||
\(85\) | 15.9756 | − | 16.6311i | 0.187948 | − | 0.195660i | ||||
\(86\) | −2.10289 | + | 1.21410i | −0.0244522 | + | 0.0141175i | ||||
\(87\) | −97.6181 | − | 11.3653i | −1.12205 | − | 0.130636i | ||||
\(88\) | −13.7627 | − | 7.94592i | −0.156395 | − | 0.0902945i | ||||
\(89\) | −110.539 | + | 63.8196i | −1.24201 | + | 0.717074i | −0.969503 | − | 0.245080i | \(-0.921186\pi\) |
−0.272506 | + | 0.962154i | \(0.587852\pi\) | |||||||
\(90\) | 0.387373 | + | 7.72651i | 0.00430414 | + | 0.0858501i | ||||
\(91\) | −1.80974 | + | 51.3846i | −0.0198873 | + | 0.564666i | ||||
\(92\) | 94.0709 | 1.02251 | ||||||||
\(93\) | 113.072 | + | 84.1000i | 1.21583 | + | 0.904302i | ||||
\(94\) | 4.48941 | − | 7.77588i | 0.0477597 | − | 0.0827221i | ||||
\(95\) | 16.5214 | + | 57.0462i | 0.173910 | + | 0.600486i | ||||
\(96\) | 19.6686 | + | 14.6290i | 0.204881 | + | 0.152385i | ||||
\(97\) | 26.9526i | 0.277862i | 0.990302 | + | 0.138931i | \(0.0443666\pi\) | ||||
−0.990302 | + | 0.138931i | \(0.955633\pi\) | |||||||
\(98\) | −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 | \(-0.362226\pi\) |
−0.576442 | + | 0.817138i | \(0.695559\pi\) | |||||||
\(102\) | −0.275089 | + | 2.36278i | −0.00269695 | + | 0.0231645i | ||||
\(103\) | −26.9167 | + | 15.5404i | −0.261327 | + | 0.150877i | −0.624940 | − | 0.780673i | \(-0.714877\pi\) |
0.363613 | + | 0.931550i | \(0.381543\pi\) | |||||||
\(104\) | 10.0648i | 0.0967765i | ||||||||
\(105\) | −40.1921 | + | 97.0031i | −0.382782 | + | 0.923839i | ||||
\(106\) | −3.95768 | −0.0373366 | ||||||||
\(107\) | −91.2333 | − | 158.021i | −0.852648 | − | 1.47683i | −0.878810 | − | 0.477172i | \(-0.841662\pi\) |
0.0261619 | − | 0.999658i | \(-0.491671\pi\) | |||||||
\(108\) | 69.0191 | + | 82.0282i | 0.639066 | + | 0.759521i | ||||
\(109\) | 17.0498 | − | 29.5311i | 0.156420 | − | 0.270928i | −0.777155 | − | 0.629309i | \(-0.783338\pi\) |
0.933575 | + | 0.358381i | \(0.116671\pi\) | |||||||
\(110\) | 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 | \(-0.591453\pi\) | ||||
−0.283370 | + | 0.959011i | \(0.591453\pi\) | |||||||
\(114\) | −4.91553 | − | 3.65603i | −0.0431187 | − | 0.0320705i | ||||
\(115\) | 32.9547 | + | 113.788i | 0.286563 | + | 0.989461i | ||||
\(116\) | −112.643 | − | 65.0342i | −0.971057 | − | 0.560640i | ||||
\(117\) | −15.1873 | + | 64.3387i | −0.129806 | + | 0.549904i | ||||
\(118\) | 0.217808i | 0.00184583i | ||||||||
\(119\) | −17.1169 | + | 27.3745i | −0.143839 | + | 0.230038i | ||||
\(120\) | −7.19437 | + | 19.2535i | −0.0599530 | + | 0.160445i | ||||
\(121\) | 6.75440 | + | 11.6990i | 0.0558215 | + | 0.0966857i | ||||
\(122\) | −5.55766 | + | 9.62615i | −0.0455546 | + | 0.0789028i | ||||
\(123\) | 210.756 | + | 24.5375i | 1.71347 | + | 0.199492i | ||||
\(124\) | 93.2519 | + | 161.517i | 0.752031 | + | 1.30256i | ||||
\(125\) | 93.5550 | + | 82.9003i | 0.748440 | + | 0.663202i | ||||
\(126\) | −2.74860 | − | 10.4761i | −0.0218143 | − | 0.0831439i | ||||
\(127\) | 131.997i | 1.03934i | 0.854366 | + | 0.519672i | \(0.173946\pi\) | ||||
−0.854366 | + | 0.519672i | \(0.826054\pi\) | |||||||
\(128\) | 21.6006 | + | 37.4133i | 0.168754 | + | 0.292291i | ||||
\(129\) | −42.0889 | − | 4.90025i | −0.326270 | − | 0.0379864i | ||||
\(130\) | −6.06458 | + | 1.75639i | −0.0466506 | + | 0.0135107i | ||||
\(131\) | 69.4990 | − | 40.1253i | 0.530527 | − | 0.306300i | −0.210704 | − | 0.977550i | \(-0.567576\pi\) |
0.741231 | + | 0.671250i | \(0.234242\pi\) | |||||||
\(132\) | −54.7737 | − | 126.822i | −0.414952 | − | 0.960776i | ||||
\(133\) | −39.0131 | − | 73.4257i | −0.293331 | − | 0.552073i | ||||
\(134\) | − | 3.40971i | − | 0.0254456i | ||||||
\(135\) | −75.0425 | + | 112.221i | −0.555870 | + | 0.831269i | ||||
\(136\) | −3.15993 | + | 5.47317i | −0.0232348 | + | 0.0402439i | ||||
\(137\) | −77.7452 | + | 134.659i | −0.567483 | + | 0.982909i | 0.429331 | + | 0.903147i | \(0.358749\pi\) |
−0.996814 | + | 0.0797620i | \(0.974584\pi\) | |||||||
\(138\) | −9.80484 | − | 7.29256i | −0.0710496 | − | 0.0528447i | ||||
\(139\) | −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 | ||||
\(144\) | 40.5081 | + | 134.864i | 0.281306 | + | 0.936553i | ||||
\(145\) | 39.2045 | − | 159.035i | 0.270376 | − | 1.09679i | ||||
\(146\) | 21.3921i | 0.146521i | ||||||||
\(147\) | 27.2300 | − | 144.456i | 0.185238 | − | 0.982694i | ||||
\(148\) | − | 189.265i | − | 1.27882i | ||||||
\(149\) | 81.9236 | − | 47.2986i | 0.549823 | − | 0.317440i | −0.199228 | − | 0.979953i | \(-0.563843\pi\) |
0.749050 | + | 0.662513i | \(0.230510\pi\) | |||||||
\(150\) | −12.8568 | − | 0.975101i | −0.0857118 | − | 0.00650067i | ||||
\(151\) | 14.8293 | − | 25.6851i | 0.0982074 | − | 0.170100i | −0.812735 | − | 0.582633i | \(-0.802022\pi\) |
0.910943 | + | 0.412533i | \(0.135356\pi\) | |||||||
\(152\) | −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 | ||||
\(156\) | −52.2145 | + | 70.2024i | −0.334709 | + | 0.450015i | ||||
\(157\) | 39.7991 | + | 22.9780i | 0.253497 | + | 0.146357i | 0.621365 | − | 0.783522i | \(-0.286579\pi\) |
−0.367867 | + | 0.929878i | \(0.619912\pi\) | |||||||
\(158\) | −5.92266 | + | 10.2583i | −0.0374852 | + | 0.0649262i | ||||
\(159\) | −55.4156 | − | 41.2166i | −0.348526 | − | 0.259224i | ||||
\(160\) | −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 | −0.943994 | − | 0.329962i | \(-0.892964\pi\) |
−0.186242 | + | 0.982504i | \(0.559631\pi\) | |||||||
\(164\) | 243.194 | + | 140.408i | 1.48289 | + | 0.856147i | ||||
\(165\) | 134.216 | − | 110.682i | 0.813430 | − | 0.670802i | ||||
\(166\) | 3.08358 | + | 5.34092i | 0.0185758 | + | 0.0321742i | ||||
\(167\) | 11.5544 | 0.0691879 | 0.0345940 | − | 0.999401i | \(-0.488986\pi\) | ||||
0.0345940 | + | 0.999401i | \(0.488986\pi\) | |||||||
\(168\) | 4.33167 | − | 28.4473i | 0.0257837 | − | 0.169329i | ||||
\(169\) | 115.048 | 0.680756 | ||||||||
\(170\) | −3.84933 | − | 0.948919i | −0.0226431 | − | 0.00558188i | ||||
\(171\) | −30.7524 | − | 102.384i | −0.179839 | − | 0.598737i | ||||
\(172\) | −48.5668 | − | 28.0401i | −0.282365 | − | 0.163024i | ||||
\(173\) | −1.95332 | − | 3.38324i | −0.0112908 | − | 0.0195563i | 0.860325 | − | 0.509746i | \(-0.170261\pi\) |
−0.871616 | + | 0.490190i | \(0.836927\pi\) | |||||||
\(174\) | 6.69895 | + | 15.5107i | 0.0384997 | + | 0.0891418i | ||||
\(175\) | −151.990 | − | 86.7410i | −0.868515 | − | 0.495663i | ||||
\(176\) | − | 181.462i | − | 1.03103i | ||||||
\(177\) | −2.26833 | + | 3.04976i | −0.0128154 | + | 0.0172303i | ||||
\(178\) | 19.0034 | + | 10.9716i | 0.106761 | + | 0.0616382i | ||||
\(179\) | −190.707 | − | 110.105i | −1.06540 | − | 0.615110i | −0.138480 | − | 0.990365i | \(-0.544222\pi\) |
−0.926921 | + | 0.375256i | \(0.877555\pi\) | |||||||
\(180\) | −150.065 | + | 96.9708i | −0.833697 | + | 0.538727i | ||||
\(181\) | 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 | ||||
\(186\) | 2.80164 | − | 24.0637i | 0.0150626 | − | 0.129375i | ||||
\(187\) | 46.3250 | − | 26.7457i | 0.247727 | − | 0.143025i | ||||
\(188\) | 207.368 | 1.10302 | ||||||||
\(189\) | 70.6159 | − | 175.312i | 0.373629 | − | 0.927578i | ||||
\(190\) | 7.07309 | − | 7.36334i | 0.0372268 | − | 0.0387544i | ||||
\(191\) | 205.885 | − | 118.868i | 1.07793 | − | 0.622345i | 0.147594 | − | 0.989048i | \(-0.452847\pi\) |
0.930338 | + | 0.366703i | \(0.119514\pi\) | |||||||
\(192\) | −21.2256 | + | 182.309i | −0.110550 | + | 0.949526i | ||||
\(193\) | −182.727 | − | 105.498i | −0.946773 | − | 0.546620i | −0.0546961 | − | 0.998503i | \(-0.517419\pi\) |
−0.892077 | + | 0.451883i | \(0.850752\pi\) | |||||||
\(194\) | 4.01279 | − | 2.31679i | 0.0206845 | − | 0.0119422i | ||||
\(195\) | −103.208 | − | 38.5654i | −0.529273 | − | 0.197771i | ||||
\(196\) | 108.888 | − | 161.226i | 0.555552 | − | 0.822581i | ||||
\(197\) | 378.734 | 1.92251 | 0.961253 | − | 0.275667i | \(-0.0888987\pi\) | ||||
0.961253 | + | 0.275667i | \(0.0888987\pi\) | |||||||
\(198\) | −4.12256 | + | 17.4646i | −0.0208210 | + | 0.0882052i | ||||
\(199\) | 95.2314 | − | 164.946i | 0.478550 | − | 0.828873i | −0.521148 | − | 0.853467i | \(-0.674496\pi\) |
0.999698 | + | 0.0245938i | \(0.00782923\pi\) | |||||||
\(200\) | −30.3312 | − | 15.9218i | −0.151656 | − | 0.0796089i | ||||
\(201\) | 35.5098 | − | 47.7429i | 0.176666 | − | 0.237527i | ||||
\(202\) | 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 | ||||
\(207\) | −61.3407 | − | 204.222i | −0.296332 | − | 0.986579i | ||||
\(208\) | −99.5278 | + | 57.4624i | −0.478499 | + | 0.276262i | ||||
\(209\) | 137.760i | 0.659137i | ||||||||
\(210\) | 17.8970 | − | 2.35424i | 0.0852238 | − | 0.0112107i | ||||
\(211\) | 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 | ||||
\(213\) | 143.628 | + | 16.7220i | 0.674308 | + | 0.0785072i | ||||
\(214\) | −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 | ||||||||
\(219\) | −222.785 | + | 299.534i | −1.01728 | + | 1.36773i | ||||
\(220\) | 221.154 | − | 64.0495i | 1.00524 | − | 0.291134i | ||||
\(221\) | −29.3389 | − | 16.9388i | −0.132755 | − | 0.0766464i | ||||
\(222\) | −14.6722 | + | 19.7268i | −0.0660911 | + | 0.0888594i | ||||
\(223\) | − | 105.559i | − | 0.473357i | −0.971588 | − | 0.236679i | \(-0.923941\pi\) | ||
0.971588 | − | 0.236679i | \(-0.0760589\pi\) | |||||||
\(224\) | 30.3236 | − | 48.4957i | 0.135373 | − | 0.216499i | ||||
\(225\) | −169.866 | − | 147.548i | −0.754961 | − | 0.655770i | ||||
\(226\) | 5.50489 | + | 9.53475i | 0.0243579 | + | 0.0421892i | ||||
\(227\) | −193.360 | + | 334.909i | −0.851805 | + | 1.47537i | 0.0277721 | + | 0.999614i | \(0.491159\pi\) |
−0.879577 | + | 0.475756i | \(0.842175\pi\) | |||||||
\(228\) | 16.3619 | − | 140.535i | 0.0717628 | − | 0.616380i | ||||
\(229\) | −14.0913 | − | 24.4068i | −0.0615340 | − | 0.106580i | 0.833617 | − | 0.552343i | \(-0.186266\pi\) |
−0.895151 | + | 0.445762i | \(0.852933\pi\) | |||||||
\(230\) | 14.1084 | − | 14.6874i | 0.0613410 | − | 0.0638582i | ||||
\(231\) | −152.141 | + | 190.188i | −0.658617 | + | 0.823327i | ||||
\(232\) | 44.8881i | 0.193483i | ||||||||
\(233\) | −171.016 | − | 296.208i | −0.733974 | − | 1.27128i | −0.955172 | − | 0.296051i | \(-0.904330\pi\) |
0.221199 | − | 0.975229i | \(-0.429003\pi\) | |||||||
\(234\) | 10.8844 | − | 3.26929i | 0.0465147 | − | 0.0139713i | ||||
\(235\) | 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 | \(0.929102\pi\) | |||||||
\(240\) | −231.467 | + | 38.7799i | −0.964446 | + | 0.161583i | ||||
\(241\) | −9.53578 | + | 16.5165i | −0.0395675 | + | 0.0685330i | −0.885131 | − | 0.465342i | \(-0.845931\pi\) |
0.845563 | + | 0.533875i | \(0.179265\pi\) | |||||||
\(242\) | 1.16119 | − | 2.01124i | 0.00479830 | − | 0.00831090i | ||||
\(243\) | 133.073 | − | 203.324i | 0.547624 | − | 0.836725i | ||||
\(244\) | −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 | ||||
\(249\) | −12.4456 | + | 106.897i | −0.0499825 | + | 0.429306i | ||||
\(250\) | 4.30069 | − | 21.0547i | 0.0172028 | − | 0.0842190i | ||||
\(251\) | − | 222.387i | − | 0.886003i | −0.896521 | − | 0.443001i | \(-0.853914\pi\) | ||
0.896521 | − | 0.443001i | \(-0.146086\pi\) | |||||||
\(252\) | 177.794 | − | 175.950i | 0.705532 | − | 0.698213i | ||||
\(253\) | 274.784i | 1.08610i | ||||||||
\(254\) | 19.6521 | − | 11.3462i | 0.0773706 | − | 0.0446699i | ||||
\(255\) | −44.0162 | − | 53.3750i | −0.172612 | − | 0.209314i | ||||
\(256\) | −118.647 | + | 205.502i | −0.463464 | + | 0.802744i | ||||
\(257\) | 182.147 | + | 315.488i | 0.708743 | + | 1.22758i | 0.965324 | + | 0.261056i | \(0.0840707\pi\) |
−0.256581 | + | 0.966523i | \(0.582596\pi\) | |||||||
\(258\) | 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 | ||||
\(261\) | −67.7343 | + | 286.946i | −0.259519 | + | 1.09941i | ||||
\(262\) | −11.9480 | − | 6.89817i | −0.0456030 | − | 0.0263289i | ||||
\(263\) | −181.221 | + | 313.884i | −0.689054 | + | 1.19348i | 0.283090 | + | 0.959093i | \(0.408640\pi\) |
−0.972144 | + | 0.234383i | \(0.924693\pi\) | |||||||
\(264\) | −28.4526 | + | 38.2545i | −0.107775 | + | 0.144903i | ||||
\(265\) | 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 | \(-0.533575\pi\) |
−0.913854 | + | 0.406043i | \(0.866908\pi\) | |||||||
\(270\) | 23.1584 | + | 1.52628i | 0.0857719 | + | 0.00565288i | ||||
\(271\) | 24.8208 | + | 42.9910i | 0.0915898 | + | 0.158638i | 0.908180 | − | 0.418579i | \(-0.137472\pi\) |
−0.816590 | + | 0.577218i | \(0.804138\pi\) | |||||||
\(272\) | −72.1637 | −0.265308 | ||||||||
\(273\) | 152.492 | + | 23.2199i | 0.558578 | + | 0.0850547i | ||||
\(274\) | 26.7313 | 0.0975594 | ||||||||
\(275\) | 154.948 | + | 245.069i | 0.563448 | + | 0.891162i | ||||
\(276\) | 32.6365 | − | 280.319i | 0.118248 | − | 1.01565i | ||||
\(277\) | 95.4077 | + | 55.0836i | 0.344432 | + | 0.198858i | 0.662230 | − | 0.749300i | \(-0.269610\pi\) |
−0.317798 | + | 0.948158i | \(0.602943\pi\) | |||||||
\(278\) | 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 | \(0.747705\pi\) | |||||||
\(282\) | −21.6136 | − | 16.0756i | −0.0766440 | − | 0.0570056i | ||||
\(283\) | 277.081 | + | 159.973i | 0.979086 | + | 0.565276i | 0.901994 | − | 0.431748i | \(-0.142103\pi\) |
0.0770921 | + | 0.997024i | \(0.475436\pi\) | |||||||
\(284\) | 165.734 | + | 95.6863i | 0.583569 | + | 0.336924i | ||||
\(285\) | 175.722 | − | 29.4404i | 0.616569 | − | 0.103300i | ||||
\(286\) | −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 | ||||
\(291\) | 80.3152 | + | 9.35080i | 0.275997 | + | 0.0321333i | ||||
\(292\) | −427.866 | + | 247.028i | −1.46529 | + | 0.845988i | ||||
\(293\) | 328.719 | 1.12191 | 0.560954 | − | 0.827847i | \(-0.310434\pi\) | ||||
0.560954 | + | 0.827847i | \(0.310434\pi\) | |||||||
\(294\) | −23.8478 | + | 8.36304i | −0.0811148 | + | 0.0284457i | ||||
\(295\) | −4.56847 | − | 4.38838i | −0.0154863 | − | 0.0148759i | ||||
\(296\) | −56.5668 | + | 32.6588i | −0.191104 | + | 0.110334i | ||||
\(297\) | −239.607 | + | 201.607i | −0.806758 | + | 0.678812i | ||||
\(298\) | −14.0840 | − | 8.13138i | −0.0472616 | − | 0.0272865i | ||||
\(299\) | 150.713 | − | 87.0143i | 0.504058 | − | 0.291018i | ||||
\(300\) | −128.962 | − | 268.410i | −0.429874 | − | 0.894698i | ||||
\(301\) | −3.48002 | + | 98.8095i | −0.0115615 | + | 0.328271i | ||||
\(302\) | −5.09879 | −0.0168834 | ||||||||
\(303\) | −32.7823 | + | 44.0758i | −0.108193 | + | 0.145465i | ||||
\(304\) | 92.9235 | − | 160.948i | 0.305669 | − | 0.529435i | ||||
\(305\) | −89.9305 | − | 310.517i | −0.294854 | − | 1.01809i | ||||
\(306\) | 6.94534 | + | 1.63946i | 0.0226972 | + | 0.00535772i | ||||
\(307\) | − | 433.637i | − | 1.41250i | −0.707963 | − | 0.706250i | \(-0.750386\pi\) | ||
0.707963 | − | 0.706250i | \(-0.249614\pi\) | |||||||
\(308\) | −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 | \(-0.138061\pi\) |
0.0897451 | + | 0.995965i | \(0.471395\pi\) | |||||||
\(312\) | 29.9917 | + | 3.49182i | 0.0961272 | + | 0.0111917i | ||||
\(313\) | 193.637 | − | 111.796i | 0.618647 | − | 0.357176i | −0.157695 | − | 0.987488i | \(-0.550406\pi\) |
0.776342 | + | 0.630312i | \(0.217073\pi\) | |||||||
\(314\) | − | 7.90057i | − | 0.0251610i | ||||||
\(315\) | 275.113 | + | 153.421i | 0.873373 | + | 0.487051i | ||||
\(316\) | −273.571 | −0.865730 | ||||||||
\(317\) | −268.012 | − | 464.210i | −0.845462 | − | 1.46438i | −0.885219 | − | 0.465175i | \(-0.845992\pi\) |
0.0397565 | − | 0.999209i | \(-0.487342\pi\) | |||||||
\(318\) | −1.37306 | + | 11.7934i | −0.00431779 | + | 0.0370861i | ||||
\(319\) | 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 | ||||||||
\(324\) | 268.379 | − | 177.210i | 0.828330 | − | 0.546944i | ||||
\(325\) | 85.3488 | − | 162.591i | 0.262612 | − | 0.500279i | ||||
\(326\) | 31.6718 | + | 18.2857i | 0.0971528 | + | 0.0560912i | ||||
\(327\) | −82.0838 | − | 61.0516i | −0.251021 | − | 0.186702i | ||||
\(328\) | − | 96.9129i | − | 0.295466i | ||||||
\(329\) | −171.540 | − | 322.853i | −0.521399 | − | 0.981316i | ||||
\(330\) | −28.0157 | − | 10.4685i | −0.0848961 | − | 0.0317228i | ||||
\(331\) | −107.615 | − | 186.394i | −0.325120 | − | 0.563124i | 0.656417 | − | 0.754398i | \(-0.272071\pi\) |
−0.981537 | + | 0.191274i | \(0.938738\pi\) | |||||||
\(332\) | −71.2161 | + | 123.350i | −0.214506 | + | 0.371536i | ||||
\(333\) | −410.883 | + | 123.414i | −1.23388 | + | 0.370613i | ||||
\(334\) | −0.993191 | − | 1.72026i | −0.00297363 | − | 0.00515047i | ||||
\(335\) | 71.5177 | + | 68.6985i | 0.213486 | + | 0.205070i | ||||
\(336\) | 306.038 | − | 119.578i | 0.910829 | − | 0.355888i | ||||
\(337\) | 203.340i | 0.603381i | 0.953406 | + | 0.301691i | \(0.0975510\pi\) | ||||
−0.953406 | + | 0.301691i | \(0.902449\pi\) | |||||||
\(338\) | −9.88928 | − | 17.1287i | −0.0292582 | − | 0.0506767i | ||||
\(339\) | −22.2183 | + | 190.836i | −0.0655407 | + | 0.562938i | ||||
\(340\) | −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 | ||||||||
\(345\) | 350.507 | − | 58.7238i | 1.01596 | − | 0.170214i | ||||
\(346\) | −0.335806 | + | 0.581633i | −0.000970538 | + | 0.00168102i | ||||
\(347\) | 9.76578 | − | 16.9148i | 0.0281435 | − | 0.0487459i | −0.851611 | − | 0.524175i | \(-0.824374\pi\) |
0.879754 | + | 0.475429i | \(0.157707\pi\) | |||||||
\(348\) | −232.873 | + | 313.098i | −0.669176 | + | 0.899706i | ||||
\(349\) | −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 | \(-0.683312\pi\) |
0.998633 | + | 0.0522696i | \(0.0166455\pi\) | |||||||
\(354\) | 0.649040 | + | 0.0755653i | 0.00183345 | + | 0.000213461i | ||||
\(355\) | −57.6825 | + | 233.991i | −0.162486 | + | 0.659131i | ||||
\(356\) | 506.784i | 1.42355i | ||||||||
\(357\) | 75.6342 | + | 60.5033i | 0.211860 | + | 0.169477i | ||||
\(358\) | 37.8575i | 0.105747i | ||||||||
\(359\) | 16.9213 | − | 9.76951i | 0.0471345 | − | 0.0272131i | −0.476248 | − | 0.879311i | \(-0.658003\pi\) |
0.523382 | + | 0.852098i | \(0.324670\pi\) | |||||||
\(360\) | 54.8768 | + | 28.1180i | 0.152436 | + | 0.0781055i | ||||
\(361\) | 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 | ||||
\(366\) | 26.7565 | + | 19.9008i | 0.0731053 | + | 0.0543737i | ||||
\(367\) | −369.737 | − | 213.468i | −1.00746 | − | 0.581656i | −0.0970116 | − | 0.995283i | \(-0.530928\pi\) |
−0.910446 | + | 0.413627i | \(0.864262\pi\) | |||||||
\(368\) | 185.351 | − | 321.038i | 0.503672 | − | 0.872385i | ||||
\(369\) | 146.237 | − | 619.514i | 0.396308 | − | 1.67890i | ||||
\(370\) | −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 | −0.216625 | − | 0.976255i | \(-0.569505\pi\) |
0.737149 | + | 0.675730i | \(0.236171\pi\) | |||||||
\(374\) | −7.96400 | − | 4.59802i | −0.0212941 | − | 0.0122942i | ||||
\(375\) | 279.490 | − | 250.021i | 0.745306 | − | 0.666723i | ||||
\(376\) | −35.7826 | − | 61.9772i | −0.0951664 | − | 0.164833i | ||||
\(377\) | −240.623 | −0.638258 | ||||||||
\(378\) | −32.1711 | + | 4.55595i | −0.0851088 | + | 0.0120528i | ||||
\(379\) | 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 | ||||
\(381\) | 393.333 | + | 45.7943i | 1.03237 | + | 0.120195i | ||||
\(382\) | −35.3949 | − | 20.4353i | −0.0926569 | − | 0.0534955i | ||||
\(383\) | −71.4848 | − | 123.815i | −0.186644 | − | 0.323277i | 0.757485 | − | 0.652853i | \(-0.226428\pi\) |
−0.944129 | + | 0.329575i | \(0.893095\pi\) | |||||||
\(384\) | 118.981 | − | 51.3869i | 0.309846 | − | 0.133820i | ||||
\(385\) | −282.663 | − | 291.333i | −0.734191 | − | 0.756708i | ||||
\(386\) | 36.2734i | 0.0939726i | ||||||||
\(387\) | −29.2042 | + | 123.719i | −0.0754631 | + | 0.319688i | ||||
\(388\) | 92.6766 | + | 53.5069i | 0.238857 | + | 0.137904i | ||||
\(389\) | −35.6423 | − | 20.5781i | −0.0916256 | − | 0.0529000i | 0.453487 | − | 0.891263i | \(-0.350180\pi\) |
−0.545113 | + | 0.838363i | \(0.683513\pi\) | |||||||
\(390\) | 3.12981 | + | 18.6810i | 0.00802516 | + | 0.0479001i | ||||
\(391\) | 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 | ||||
\(396\) | −396.918 | + | 119.219i | −1.00232 | + | 0.301059i | ||||
\(397\) | 326.923 | − | 188.749i | 0.823484 | − | 0.475439i | −0.0281322 | − | 0.999604i | \(-0.508956\pi\) |
0.851617 | + | 0.524165i | \(0.175623\pi\) | |||||||
\(398\) | −32.7436 | −0.0822704 | ||||||||
\(399\) | −232.334 | + | 90.7799i | −0.582291 | + | 0.227519i | ||||
\(400\) | −15.7225 | − | 390.839i | −0.0393063 | − | 0.977098i | ||||
\(401\) | −81.6070 | + | 47.1158i | −0.203509 | + | 0.117496i | −0.598291 | − | 0.801279i | \(-0.704153\pi\) |
0.394782 | + | 0.918775i | \(0.370820\pi\) | |||||||
\(402\) | −10.1605 | − | 1.18295i | −0.0252748 | − | 0.00294265i | ||||
\(403\) | 298.802 | + | 172.513i | 0.741444 | + | 0.428073i | ||||
\(404\) | −62.9596 | + | 36.3497i | −0.155841 | + | 0.0899746i | ||||
\(405\) | 308.370 | + | 262.551i | 0.761408 | + | 0.648273i | ||||
\(406\) | 34.8138 | − | 18.4975i | 0.0857482 | − | 0.0455603i | ||||
\(407\) | 552.850 | 1.35835 | ||||||||
\(408\) | 15.2130 | + | 11.3150i | 0.0372869 | + | 0.0277329i | ||||
\(409\) | −264.873 | + | 458.773i | −0.647611 | + | 1.12169i | 0.336081 | + | 0.941833i | \(0.390898\pi\) |
−0.983692 | + | 0.179862i | \(0.942435\pi\) | |||||||
\(410\) | 58.3954 | − | 16.9122i | 0.142428 | − | 0.0412493i | ||||
\(411\) | 374.293 | + | 278.388i | 0.910688 | + | 0.677344i | ||||
\(412\) | 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 | ||||
\(417\) | −45.5561 | + | 391.288i | −0.109247 | + | 0.938339i | ||||
\(418\) | 20.5101 | − | 11.8415i | 0.0490673 | − | 0.0283290i | ||||
\(419\) | 208.590i | 0.497828i | 0.968526 | + | 0.248914i | \(0.0800736\pi\) | ||||
−0.968526 | + | 0.248914i | \(0.919926\pi\) | |||||||
\(420\) | 253.755 | + | 330.773i | 0.604179 | + | 0.787556i | ||||
\(421\) | −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 | ||||
\(423\) | −135.218 | − | 450.183i | −0.319665 | − | 1.06426i | ||||
\(424\) | −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 | ||||||||
\(429\) | −205.063 | − | 152.520i | −0.478003 | − | 0.355525i | ||||
\(430\) | −11.6618 | + | 3.37744i | −0.0271205 | + | 0.00785450i | ||||
\(431\) | 403.517 | + | 232.971i | 0.936234 | + | 0.540535i | 0.888778 | − | 0.458338i | \(-0.151555\pi\) |
0.0474561 | + | 0.998873i | \(0.484889\pi\) | |||||||
\(432\) | 415.930 | − | 73.9200i | 0.962801 | − | 0.171111i | ||||
\(433\) | 769.033i | 1.77606i | 0.459788 | + | 0.888029i | \(0.347926\pi\) | ||||
−0.459788 | + | 0.888029i | \(0.652074\pi\) | |||||||
\(434\) | −56.4928 | − | 1.98965i | −0.130168 | − | 0.00458444i | ||||
\(435\) | −460.302 | − | 171.999i | −1.05817 | − | 0.395401i | ||||
\(436\) | −67.6953 | − | 117.252i | −0.155265 | − | 0.268926i | ||||
\(437\) | −140.713 | + | 243.721i | −0.321997 | + | 0.557714i | ||||
\(438\) | 63.7458 | + | 7.42168i | 0.145538 | + | 0.0169445i | ||||
\(439\) | −129.054 | − | 223.528i | −0.293973 | − | 0.509176i | 0.680773 | − | 0.732495i | \(-0.261644\pi\) |
−0.974745 | + | 0.223319i | \(0.928311\pi\) | |||||||
\(440\) | −57.3042 | − | 55.0453i | −0.130237 | − | 0.125103i | ||||
\(441\) | −421.013 | − | 131.259i | −0.954678 | − | 0.297639i | ||||
\(442\) | 5.82412i | 0.0131767i | ||||||||
\(443\) | 202.227 | + | 350.267i | 0.456493 | + | 0.790670i | 0.998773 | − | 0.0495286i | \(-0.0157719\pi\) |
−0.542279 | + | 0.840198i | \(0.682439\pi\) | |||||||
\(444\) | −563.987 | − | 65.6628i | −1.27024 | − | 0.147889i | ||||
\(445\) | −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 | \(0.991467\pi\) | |||||||
\(450\) | −7.36614 | + | 37.9732i | −0.0163692 | + | 0.0843850i | ||||
\(451\) | −410.136 | + | 710.377i | −0.909393 | + | 1.57511i | ||||
\(452\) | −127.137 | + | 220.208i | −0.281276 | + | 0.487185i | ||||
\(453\) | −71.3936 | − | 53.1005i | −0.157602 | − | 0.117220i | ||||
\(454\) | 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 | −0.285410 | − | 0.958405i | \(-0.592130\pi\) |
0.687298 | + | 0.726375i | \(0.258796\pi\) | |||||||
\(458\) | −2.42252 | + | 4.19592i | −0.00528934 | + | 0.00916140i | ||||
\(459\) | 80.1751 | + | 95.2870i | 0.174674 | + | 0.207597i | ||||
\(460\) | 456.683 | + | 112.579i | 0.992789 | + | 0.244738i | ||||
\(461\) | − | 315.604i | − | 0.684608i | −0.939589 | − | 0.342304i | \(-0.888793\pi\) | ||
0.939589 | − | 0.342304i | \(-0.111207\pi\) | |||||||
\(462\) | 41.3936 | + | 6.30301i | 0.0895966 | + | 0.0136429i | ||||
\(463\) | − | 612.544i | − | 1.32299i | −0.749950 | − | 0.661495i | \(-0.769922\pi\) | ||
0.749950 | − | 0.661495i | \(-0.230078\pi\) | |||||||
\(464\) | −443.887 | + | 256.278i | −0.956654 | + | 0.552324i | ||||
\(465\) | 448.282 | + | 543.597i | 0.964047 | + | 1.16903i | ||||
\(466\) | −29.4003 | + | 50.9229i | −0.0630909 | + | 0.109277i | ||||
\(467\) | 201.374 | + | 348.790i | 0.431208 | + | 0.746874i | 0.996978 | − | 0.0776892i | \(-0.0247542\pi\) |
−0.565770 | + | 0.824563i | \(0.691421\pi\) | |||||||
\(468\) | 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 | ||||
\(471\) | 82.2792 | − | 110.624i | 0.174690 | − | 0.234871i | ||||
\(472\) | 1.50344 | + | 0.868014i | 0.00318526 | + | 0.00183901i | ||||
\(473\) | 81.9059 | − | 141.865i | 0.173163 | − | 0.299926i | ||||
\(474\) | 28.5138 | + | 21.2077i | 0.0601556 | + | 0.0447421i | ||||
\(475\) | 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 | \(-0.423723\pi\) |
−0.722607 | + | 0.691259i | \(0.757056\pi\) | |||||||
\(480\) | 77.9773 | + | 94.5571i | 0.162453 | + | 0.196994i | ||||
\(481\) | −175.068 | − | 303.226i | −0.363967 | − | 0.630408i | ||||
\(482\) | 3.27870 | 0.00680229 | ||||||||
\(483\) | −463.429 | + | 181.076i | −0.959480 | + | 0.374898i | ||||
\(484\) | 53.6359 | 0.110818 | ||||||||
\(485\) | −32.2555 | + | 130.846i | −0.0665062 | + | 0.269785i | ||||
\(486\) | −41.7103 | − | 2.33501i | −0.0858236 | − | 0.00480454i | ||||
\(487\) | −60.9309 | − | 35.1785i | −0.125115 | − | 0.0722351i | 0.436136 | − | 0.899881i | \(-0.356347\pi\) |
−0.561251 | + | 0.827645i | \(0.689680\pi\) | |||||||
\(488\) | 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 | \(-0.198540\pi\) | |||||||
\(492\) | 502.770 | − | 675.974i | 1.02189 | − | 1.37393i | ||||
\(493\) | −130.850 | − | 75.5461i | −0.265415 | − | 0.153238i | ||||
\(494\) | −12.9897 | − | 7.49958i | −0.0262948 | − | 0.0151813i | ||||
\(495\) | −283.255 | − | 438.346i | −0.572232 | − | 0.885547i | ||||
\(496\) | 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 | 0.845669 | − | 0.533708i | \(-0.179202\pi\) |
−0.885039 | + | 0.465517i | \(0.845868\pi\) | |||||||
\(500\) | 470.781 | − | 157.114i | 0.941561 | − | 0.314228i | ||||
\(501\) | 4.00862 | − | 34.4306i | 0.00800124 | − | 0.0687237i | ||||
\(502\) | −33.1097 | + | 19.1159i | −0.0659556 | + | 0.0380795i | ||||
\(503\) | −377.200 | −0.749901 | −0.374951 | − | 0.927045i | \(-0.622340\pi\) | ||||
−0.374951 | + | 0.927045i | \(0.622340\pi\) | |||||||
\(504\) | −83.2664 | − | 22.7772i | −0.165211 | − | 0.0451928i | ||||
\(505\) | −66.0244 | − | 63.4218i | −0.130741 | − | 0.125588i | ||||
\(506\) | 40.9108 | − | 23.6199i | 0.0808515 | − | 0.0466796i | ||||
\(507\) | 39.9141 | − | 342.828i | 0.0787261 | − | 0.676189i | ||||
\(508\) | 453.871 | + | 262.043i | 0.893447 | + | 0.515832i | ||||
\(509\) | 581.066 | − | 335.479i | 1.14158 | − | 0.659094i | 0.194762 | − | 0.980851i | \(-0.437607\pi\) |
0.946822 | + | 0.321757i | \(0.104273\pi\) | |||||||
\(510\) | −4.16312 | + | 11.1413i | −0.00816299 | + | 0.0218457i | ||||
\(511\) | 738.542 | + | 461.799i | 1.44529 | + | 0.903716i | ||||
\(512\) | 213.599 | 0.417186 | ||||||||
\(513\) | −315.760 | + | 56.1176i | −0.615517 | + | 0.109391i | ||||
\(514\) | 31.3140 | − | 54.2374i | 0.0609221 | − | 0.105520i | ||||
\(515\) | −149.270 | + | 43.2307i | −0.289844 | + | 0.0839432i | ||||
\(516\) | −100.405 | + | 134.995i | −0.194584 | + | 0.261618i | ||||
\(517\) | 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 | \(-0.596098\pi\) |
−0.975525 | + | 0.219887i | \(0.929431\pi\) | |||||||
\(522\) | 48.5439 | − | 14.5808i | 0.0929960 | − | 0.0279326i | ||||
\(523\) | 169.809 | − | 98.0393i | 0.324683 | − | 0.187456i | −0.328795 | − | 0.944401i | \(-0.606643\pi\) |
0.653478 | + | 0.756946i | \(0.273309\pi\) | |||||||
\(524\) | − | 318.630i | − | 0.608073i | ||||||
\(525\) | −311.208 | + | 422.818i | −0.592777 | + | 0.805367i | ||||
\(526\) | 62.3096 | 0.118459 | ||||||||
\(527\) | 108.325 | + | 187.624i | 0.205550 | + | 0.356023i | ||||
\(528\) | −540.732 | − | 62.9554i | −1.02411 | − | 0.119234i | ||||
\(529\) | −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 | ||||||||
\(534\) | 39.2869 | − | 52.8212i | 0.0735710 | − | 0.0989161i | ||||
\(535\) | −253.796 | − | 876.322i | −0.474385 | − | 1.63798i | ||||
\(536\) | −23.5359 | − | 13.5884i | −0.0439102 | − | 0.0253516i | ||||
\(537\) | −394.261 | + | 530.083i | −0.734191 | + | 0.987118i | ||||
\(538\) | 54.4215i | 0.101155i | ||||||||
\(539\) | 470.946 | + | 318.066i | 0.873740 | + | 0.590104i | ||||
\(540\) | 236.898 | + | 480.818i | 0.438699 | + | 0.890404i | ||||
\(541\) | −422.140 | − | 731.167i | −0.780295 | − | 1.35151i | −0.931770 | − | 0.363050i | \(-0.881736\pi\) |
0.151475 | − | 0.988461i | \(-0.451598\pi\) | |||||||
\(542\) | 4.26710 | − | 7.39083i | 0.00787288 | − | 0.0136362i | ||||
\(543\) | 27.0111 | − | 232.001i | 0.0497441 | − | 0.427259i | ||||
\(544\) | 18.8428 | + | 32.6367i | 0.0346375 | + | 0.0599938i | ||||
\(545\) | 118.113 | − | 122.959i | 0.216720 | − | 0.225614i | ||||
\(546\) | −9.65082 | − | 24.6995i | −0.0176755 | − | 0.0452371i | ||||
\(547\) | − | 160.122i | − | 0.292727i | −0.989231 | − | 0.146363i | \(-0.953243\pi\) | ||
0.989231 | − | 0.146363i | \(-0.0467569\pi\) | |||||||
\(548\) | 308.683 | + | 534.654i | 0.563290 | + | 0.975647i | ||||
\(549\) | 167.393 | + | 557.303i | 0.304906 | + | 1.01512i | ||||
\(550\) | 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 | ||||||
\(555\) | −118.149 | − | 705.200i | −0.212881 | − | 1.27063i | ||||
\(556\) | −260.680 | + | 451.511i | −0.468849 | + | 0.812070i | ||||
\(557\) | 142.397 | − | 246.638i | 0.255649 | − | 0.442797i | −0.709422 | − | 0.704784i | \(-0.751044\pi\) |
0.965072 | + | 0.261986i | \(0.0843775\pi\) | |||||||
\(558\) | −70.7347 | − | 16.6971i | −0.126765 | − | 0.0299231i | ||||
\(559\) | −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 | \(-0.884851\pi\) |
0.774137 | + | 0.633018i | \(0.218184\pi\) | |||||||
\(564\) | 71.9433 | − | 617.931i | 0.127559 | − | 1.09562i | ||||
\(565\) | −310.901 | − | 76.6419i | −0.550267 | − | 0.135649i | ||||
\(566\) | − | 55.0038i | − | 0.0971799i | ||||||
\(567\) | −497.909 | − | 271.248i | −0.878146 | − | 0.478392i | ||||
\(568\) | − | 66.0449i | − | 0.116276i | ||||||
\(569\) | 350.000 | − | 202.073i | 0.615115 | − | 0.355137i | −0.159850 | − | 0.987141i | \(-0.551101\pi\) |
0.774965 | + | 0.632005i | \(0.217768\pi\) | |||||||
\(570\) | −19.4879 | − | 23.6315i | −0.0341893 | − | 0.0414588i | ||||
\(571\) | 369.018 | − | 639.158i | 0.646267 | − | 1.11937i | −0.337741 | − | 0.941239i | \(-0.609663\pi\) |
0.984007 | − | 0.178127i | \(-0.0570039\pi\) | |||||||
\(572\) | −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 | ||||
\(576\) | 535.894 | + | 126.499i | 0.930371 | + | 0.219616i | ||||
\(577\) | −569.531 | − | 328.819i | −0.987056 | − | 0.569877i | −0.0826627 | − | 0.996578i | \(-0.526342\pi\) |
−0.904393 | + | 0.426701i | \(0.859676\pi\) | |||||||
\(578\) | 23.0133 | − | 39.8602i | 0.0398154 | − | 0.0689623i | ||||
\(579\) | −377.764 | + | 507.903i | −0.652442 | + | 0.877207i | ||||
\(580\) | −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 | ||||
\(585\) | −150.727 | + | 294.168i | −0.257652 | + | 0.502851i | ||||
\(586\) | −28.2560 | − | 48.9409i | −0.0482185 | − | 0.0835168i | ||||
\(587\) | −339.097 | −0.577679 | −0.288839 | − | 0.957378i | \(-0.593269\pi\) | ||||
−0.288839 | + | 0.957378i | \(0.593269\pi\) | |||||||
\(588\) | −442.655 | − | 380.408i | −0.752815 | − | 0.646952i | ||||
\(589\) | −557.949 | −0.947283 | ||||||||
\(590\) | −0.260662 | + | 1.05739i | −0.000441800 | + | 0.00179218i | ||||
\(591\) | 131.396 | − | 1128.58i | 0.222328 | − | 1.90961i | ||||
\(592\) | −645.910 | − | 372.916i | −1.09106 | − | 0.629926i | ||||
\(593\) | −163.991 | − | 284.041i | −0.276545 | − | 0.478990i | 0.693979 | − | 0.719995i | \(-0.255856\pi\) |
−0.970524 | + | 0.241006i | \(0.922523\pi\) | |||||||
\(594\) | 50.6121 | + | 18.3438i | 0.0852056 | + | 0.0308818i | ||||
\(595\) | −115.857 | + | 112.410i | −0.194718 | + | 0.188924i | ||||
\(596\) | − | 375.593i | − | 0.630190i | ||||||
\(597\) | −458.478 | − | 341.003i | −0.767970 | − | 0.571194i | ||||
\(598\) | −25.9100 | − | 14.9591i | −0.0433278 | − | 0.0250153i | ||||
\(599\) | 726.655 | + | 419.534i | 1.21311 | + | 0.700391i | 0.963436 | − | 0.267938i | \(-0.0863422\pi\) |
0.249677 | + | 0.968329i | \(0.419676\pi\) | |||||||
\(600\) | −57.9678 | + | 84.8592i | −0.0966130 | + | 0.141432i | ||||
\(601\) | 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 | ||||
\(606\) | 9.38007 | + | 1.09209i | 0.0154787 | + | 0.00180212i | ||||
\(607\) | −277.758 | + | 160.363i | −0.457591 | + | 0.264190i | −0.711031 | − | 0.703161i | \(-0.751771\pi\) |
0.253440 | + | 0.967351i | \(0.418438\pi\) | |||||||
\(608\) | −97.0537 | −0.159628 | ||||||||
\(609\) | 680.103 | + | 103.559i | 1.11675 | + | 0.170048i | ||||
\(610\) | −38.5007 | + | 40.0806i | −0.0631159 | + | 0.0657059i | ||||
\(611\) | 332.229 | − | 191.813i | 0.543747 | − | 0.313932i | ||||
\(612\) | 47.4112 | + | 157.846i | 0.0774693 | + | 0.257919i | ||||
\(613\) | 220.529 | + | 127.323i | 0.359754 | + | 0.207704i | 0.668973 | − | 0.743287i | \(-0.266734\pi\) |
−0.309219 | + | 0.950991i | \(0.600068\pi\) | |||||||
\(614\) | −64.5615 | + | 37.2746i | −0.105149 | + | 0.0607078i | ||||
\(615\) | 993.786 | + | 371.344i | 1.61591 | + | 0.603812i | ||||
\(616\) | 94.3217 | + | 58.9779i | 0.153120 | + | 0.0957433i | ||||
\(617\) | 126.508 | 0.205037 | 0.102519 | − | 0.994731i | \(-0.467310\pi\) | ||||
0.102519 | + | 0.994731i | \(0.467310\pi\) | |||||||
\(618\) | 9.56655 | − | 12.8622i | 0.0154798 | − | 0.0208126i | ||||
\(619\) | 183.100 | − | 317.138i | 0.295799 | − | 0.512339i | −0.679372 | − | 0.733794i | \(-0.737748\pi\) |
0.975170 | + | 0.221456i | \(0.0710808\pi\) | |||||||
\(620\) | 259.411 | + | 895.710i | 0.418405 | + | 1.44469i | ||||
\(621\) | −629.836 | + | 111.936i | −1.01423 | + | 0.180251i | ||||
\(622\) | − | 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 | ||||
\(627\) | 410.506 | + | 47.7936i | 0.654714 | + | 0.0762259i | ||||
\(628\) | 158.020 | − | 91.2329i | 0.251624 | − | 0.145275i | ||||
\(629\) | − | 219.858i | − | 0.349535i | ||||||
\(630\) | −0.806242 | − | 54.1475i | −0.00127975 | − | 0.0859484i | ||||
\(631\) | 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 | ||||
\(633\) | 19.7431 | − | 169.576i | 0.0311898 | − | 0.267893i | ||||
\(634\) | −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 | ||||||||
\(639\) | 99.6590 | − | 422.191i | 0.155961 | − | 0.660705i | ||||
\(640\) | 60.0892 | + | 207.479i | 0.0938893 | + | 0.324187i | ||||
\(641\) | −803.605 | − | 463.961i | −1.25367 | − | 0.723809i | −0.281837 | − | 0.959462i | \(-0.590944\pi\) |
−0.971837 | + | 0.235654i | \(0.924277\pi\) | |||||||
\(642\) | 75.5106 | + | 56.1626i | 0.117618 | + | 0.0874807i | ||||
\(643\) | − | 455.224i | − | 0.707968i | −0.935251 | − | 0.353984i | \(-0.884827\pi\) | ||
0.935251 | − | 0.353984i | \(-0.115173\pi\) | |||||||
\(644\) | −658.089 | − | 23.1775i | −1.02188 | − | 0.0359900i | ||||
\(645\) | −198.463 | − | 74.1590i | −0.307695 | − | 0.114975i | ||||
\(646\) | −4.70914 | − | 8.15648i | −0.00728970 | − | 0.0126261i | ||||
\(647\) | −321.902 | + | 557.551i | −0.497530 | + | 0.861747i | −0.999996 | − | 0.00284968i | \(-0.999093\pi\) |
0.502466 | + | 0.864597i | \(0.332426\pi\) | |||||||
\(648\) | −99.2739 | − | 49.6332i | −0.153201 | − | 0.0765945i | ||||
\(649\) | −7.34689 | − | 12.7252i | −0.0113203 | − | 0.0196074i | ||||
\(650\) | −31.5435 | + | 1.26892i | −0.0485284 | + | 0.00195218i | ||||
\(651\) | −770.295 | − | 616.195i | −1.18325 | − | 0.946536i | ||||
\(652\) | 844.628i | 1.29544i | ||||||||
\(653\) | 285.108 | + | 493.822i | 0.436613 | + | 0.756236i | 0.997426 | − | 0.0717069i | \(-0.0228446\pi\) |
−0.560813 | + | 0.827943i | \(0.689511\pi\) | |||||||
\(654\) | −2.03383 | + | 17.4688i | −0.00310983 | + | 0.0267107i | ||||
\(655\) | 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 | \(0.841635\pi\) | |||||||
\(660\) | −114.133 | − | 681.231i | −0.172929 | − | 1.03217i | ||||
\(661\) | −199.704 | + | 345.897i | −0.302124 | + | 0.523294i | −0.976617 | − | 0.214987i | \(-0.931029\pi\) |
0.674493 | + | 0.738281i | \(0.264362\pi\) | |||||||
\(662\) | −18.5007 | + | 32.0441i | −0.0279466 | + | 0.0484050i | ||||
\(663\) | −60.6543 | + | 81.5496i | −0.0914846 | + | 0.123001i | ||||
\(664\) | 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 | ||||
\(669\) | −314.551 | − | 36.6220i | −0.470181 | − | 0.0547414i | ||||
\(670\) | 4.08057 | − | 16.5530i | 0.00609040 | − | 0.0247059i | ||||
\(671\) | − | 749.861i | − | 1.11753i | ||||||
\(672\) | −133.991 | − | 107.185i | −0.199391 | − | 0.159502i | ||||
\(673\) | 1005.37i | 1.49387i | 0.664900 | + | 0.746933i | \(0.268474\pi\) | ||||
−0.664900 | + | 0.746933i | \(0.731526\pi\) | |||||||
\(674\) | 30.2739 | − | 17.4787i | 0.0449168 | − | 0.0259327i | ||||
\(675\) | −498.607 | + | 454.990i | −0.738677 | + | 0.674059i | ||||
\(676\) | 228.396 | − | 395.593i | 0.337863 | − | 0.585196i | ||||
\(677\) | −134.300 | − | 232.614i | −0.198375 | − | 0.343595i | 0.749627 | − | 0.661861i | \(-0.230233\pi\) |
−0.948002 | + | 0.318266i | \(0.896900\pi\) | |||||||
\(678\) | 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 | ||||
\(681\) | 930.903 | + | 692.379i | 1.36696 | + | 1.01671i | ||||
\(682\) | 81.1093 | + | 46.8285i | 0.118929 | + | 0.0686634i | ||||
\(683\) | −158.562 | + | 274.638i | −0.232156 | + | 0.402105i | −0.958442 | − | 0.285287i | \(-0.907911\pi\) |
0.726287 | + | 0.687392i | \(0.241245\pi\) | |||||||
\(684\) | −413.098 | − | 97.5128i | −0.603945 | − | 0.142563i | ||||
\(685\) | −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 | ||||
\(690\) | −38.8718 | − | 47.1369i | −0.0563360 | − | 0.0683144i | ||||
\(691\) | 449.553 | + | 778.648i | 0.650583 | + | 1.12684i | 0.982982 | + | 0.183704i | \(0.0588087\pi\) |
−0.332399 | + | 0.943139i | \(0.607858\pi\) | |||||||
\(692\) | −15.5111 | −0.0224148 | ||||||||
\(693\) | 513.954 | + | 519.342i | 0.741637 | + | 0.749412i | ||||
\(694\) | −3.35779 | −0.00483831 | ||||||||
\(695\) | −637.467 | − | 157.146i | −0.917219 | − | 0.226109i | ||||
\(696\) | 133.761 | + | 15.5733i | 0.192185 | + | 0.0223754i | ||||
\(697\) | 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 | \(0.900747\pi\) | |||||||
\(702\) | −5.96586 | − | 33.5685i | −0.00849838 | − | 0.0478184i | ||||
\(703\) | 490.353 | + | 283.106i | 0.697515 | + | 0.402711i | ||||
\(704\) | −614.492 | − | 354.777i | −0.872859 | − | 0.503945i | ||||
\(705\) | 772.650 | − | 129.450i | 1.09596 | − | 0.183616i | ||||
\(706\) | −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 | 1.00000 | 0.000100361i | \(3.19460e-5\pi\) | |
−0.499913 | + | 0.866076i | \(0.666635\pi\) | |||||||
\(710\) | 39.7958 | − | 11.5255i | 0.0560504 | − | 0.0162330i | ||||
\(711\) | 178.387 | + | 593.904i | 0.250896 | + | 0.835308i | ||||
\(712\) | 151.465 | − | 87.4486i | 0.212732 | − | 0.122821i | ||||
\(713\) | −1112.92 | −1.56090 | ||||||||
\(714\) | 2.50658 | − | 16.4614i | 0.00351062 | − | 0.0230552i | ||||
\(715\) | 295.071 | − | 307.180i | 0.412687 | − | 0.429622i | ||||
\(716\) | −757.191 | + | 437.164i | −1.05753 | + | 0.610565i | ||||
\(717\) | 314.639 | + | 36.6322i | 0.438826 | + | 0.0510909i | ||||
\(718\) | −2.90904 | − | 1.67953i | −0.00405159 | − | 0.00233918i | ||||
\(719\) | −740.112 | + | 427.304i | −1.02936 | + | 0.594303i | −0.916802 | − | 0.399342i | \(-0.869239\pi\) |
−0.112561 | + | 0.993645i | \(0.535905\pi\) | |||||||
\(720\) | 35.2551 | + | 703.196i | 0.0489654 | + | 0.976662i | ||||
\(721\) | 192.129 | − | 102.083i | 0.266476 | − | 0.141586i | ||||
\(722\) | −37.8062 | −0.0523632 | ||||||||
\(723\) | 45.9086 | + | 34.1455i | 0.0634974 | + | 0.0472276i | ||||
\(724\) | 154.562 | − | 267.709i | 0.213483 | − | 0.369764i | ||||
\(725\) | 380.650 | − | 725.143i | 0.525035 | − | 1.00020i | ||||
\(726\) | −5.59038 | − | 4.15796i | −0.00770024 | − | 0.00572722i | ||||
\(727\) | − | 1136.87i | − | 1.56378i | −0.623413 | − | 0.781892i | \(-0.714255\pi\) | ||
0.623413 | − | 0.781892i | \(-0.285745\pi\) | |||||||
\(728\) | 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 | ||||
\(732\) | −89.0622 | + | 764.967i | −0.121670 | + | 1.04504i | ||||
\(733\) | 158.068 | − | 91.2606i | 0.215645 | − | 0.124503i | −0.388287 | − | 0.921539i | \(-0.626933\pi\) |
0.603932 | + | 0.797036i | \(0.293600\pi\) | |||||||
\(734\) | 73.3970i | 0.0999960i | ||||||||
\(735\) | 305.070 | − | 668.698i | 0.415062 | − | 0.909793i | ||||
\(736\) | −193.590 | −0.263029 | ||||||||
\(737\) | 115.013 | + | 199.208i | 0.156055 | + | 0.270296i | ||||
\(738\) | −104.806 | + | 31.4798i | −0.142013 | + | 0.0426555i | ||||
\(739\) | −692.467 | + | 1199.39i | −0.937032 | + | 1.62299i | −0.166063 | + | 0.986115i | \(0.553105\pi\) |
−0.770969 | + | 0.636872i | \(0.780228\pi\) | |||||||
\(740\) | 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 | \(-0.482243\pi\) | ||||
0.0557566 | + | 0.998444i | \(0.482243\pi\) | |||||||
\(744\) | −154.937 | − | 115.238i | −0.208249 | − | 0.154889i | ||||
\(745\) | 454.316 | − | 131.577i | 0.609821 | − | 0.176613i | ||||
\(746\) | −33.3785 | − | 19.2711i | −0.0447432 | − | 0.0258325i | ||||
\(747\) | 314.222 | + | 74.1729i | 0.420646 | + | 0.0992943i | ||||
\(748\) | − | 212.385i | − | 0.283937i | ||||||
\(749\) | 599.304 | + | 1127.94i | 0.800139 | + | 1.50593i | ||||
\(750\) | −61.2484 | − | 20.1201i | −0.0816645 | − | 0.0268268i | ||||
\(751\) | −193.183 | − | 334.603i | −0.257234 | − | 0.445543i | 0.708266 | − | 0.705946i | \(-0.249478\pi\) |
−0.965500 | + | 0.260403i | \(0.916145\pi\) | |||||||
\(752\) | 408.585 | − | 707.689i | 0.543331 | − | 0.941076i | ||||
\(753\) | −662.684 | − | 77.1538i | −0.880058 | − | 0.102462i | ||||
\(754\) | 20.6835 | + | 35.8248i | 0.0274317 | + | 0.0475130i | ||||
\(755\) | 102.730 | − | 106.946i | 0.136066 | − | 0.141650i | ||||
\(756\) | −462.624 | − | 590.847i | −0.611937 | − | 0.781544i | ||||
\(757\) | − | 1387.66i | − | 1.83311i | −0.399908 | − | 0.916555i | \(-0.630958\pi\) | ||
0.399908 | − | 0.916555i | \(-0.369042\pi\) | |||||||
\(758\) | −37.9816 | − | 65.7861i | −0.0501077 | − | 0.0867891i | ||||
\(759\) | 818.821 | + | 95.3323i | 1.07882 | + | 0.125602i | ||||
\(760\) | −22.6384 | − | 78.1673i | −0.0297874 | − | 0.102852i | ||||
\(761\) | −500.579 | + | 289.009i | −0.657791 | + | 0.379776i | −0.791435 | − | 0.611254i | \(-0.790666\pi\) |
0.133644 | + | 0.991029i | \(0.457332\pi\) | |||||||
\(762\) | −26.9921 | − | 62.4972i | −0.0354227 | − | 0.0820173i | ||||
\(763\) | −126.551 | + | 202.389i | −0.165859 | + | 0.265254i | ||||
\(764\) | − | 943.916i | − | 1.23549i | ||||||
\(765\) | −174.321 | + | 112.645i | −0.227871 | + | 0.147248i | ||||
\(766\) | −12.2894 | + | 21.2858i | −0.0160436 | + | 0.0277883i | ||||
\(767\) | −4.65299 | + | 8.05922i | −0.00606649 | + | 0.0105075i | ||||
\(768\) | 571.208 | + | 424.848i | 0.743760 | + | 0.553188i | ||||
\(769\) | 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 | 0.319251 | + | 0.947670i | \(0.396569\pi\) |
−0.980332 | + | 0.197355i | \(0.936765\pi\) | |||||||
\(774\) | 20.9301 | − | 6.28664i | 0.0270415 | − | 0.00812227i | ||||
\(775\) | −992.573 | + | 627.566i | −1.28074 | + | 0.809763i | ||||
\(776\) | − | 36.9317i | − | 0.0475924i | ||||||
\(777\) | 364.314 | + | 932.393i | 0.468872 | + | 1.19999i | ||||
\(778\) | 7.07541i | 0.00909436i | ||||||||
\(779\) | −727.545 | + | 420.048i | −0.933947 | + | 0.539215i | ||||
\(780\) | −337.499 | + | 278.321i | −0.432691 | + | 0.356822i | ||||
\(781\) | −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 | ||||
\(786\) | −24.7008 | + | 33.2102i | −0.0314260 | + | 0.0422522i | ||||
\(787\) | 1151.46 | + | 664.796i | 1.46310 | + | 0.844722i | 0.999153 | − | 0.0411411i | \(-0.0130993\pi\) |
0.463947 | + | 0.885863i | \(0.346433\pi\) | |||||||
\(788\) | 751.871 | − | 1302.28i | 0.954151 | − | 1.65264i | ||||
\(789\) | 872.463 | + | 648.913i | 1.10578 | + | 0.822450i | ||||
\(790\) | −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 | ||||
\(795\) | −219.699 | − | 266.412i | −0.276350 | − | 0.335109i | ||||
\(796\) | −378.111 | − | 654.908i | −0.475014 | − | 0.822748i | ||||
\(797\) | 133.172 | 0.167092 | 0.0835458 | − | 0.996504i | \(-0.473376\pi\) | ||||
0.0835458 | + | 0.996504i | \(0.473376\pi\) | |||||||
\(798\) | 33.4866 | + | 26.7875i | 0.0419632 | + | 0.0335683i | ||||
\(799\) | 240.886 | 0.301485 | ||||||||
\(800\) | −172.655 | + | 109.163i | −0.215819 | + | 0.136454i | ||||
\(801\) | 1100.20 | − | 330.458i | 1.37353 | − | 0.412557i | ||||
\(802\) | 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 | ||||||
\(807\) | −566.764 | + | 762.013i | −0.702310 | + | 0.944254i | ||||
\(808\) | 21.7281 | + | 12.5447i | 0.0268912 | + | 0.0155256i | ||||
\(809\) | 347.381 | + | 200.561i | 0.429396 | + | 0.247912i | 0.699089 | − | 0.715034i | \(-0.253589\pi\) |
−0.269693 | + | 0.962946i | \(0.586922\pi\) | |||||||
\(810\) | 12.5826 | − | 68.4796i | 0.0155341 | − | 0.0845427i | ||||
\(811\) | −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 | ||||
\(816\) | −25.0361 | + | 215.038i | −0.0306815 | + | 0.263528i | ||||
\(817\) | 145.294 | − | 83.8854i | 0.177838 | − | 0.102675i | ||||
\(818\) | 91.0717 | 0.111335 | ||||||||
\(819\) | 122.097 | − | 446.350i | 0.149081 | − | 0.544994i | ||||
\(820\) | 1012.59 | + | 972.677i | 1.23487 | + | 1.18619i | ||||
\(821\) | −1249.35 | + | 721.310i | −1.52174 | + | 0.878575i | −0.522066 | + | 0.852905i | \(0.674839\pi\) |
−0.999670 | + | 0.0256698i | \(0.991828\pi\) | |||||||
\(822\) | 9.27402 | − | 79.6557i | 0.0112823 | − | 0.0969048i | ||||
\(823\) | −819.737 | − | 473.275i | −0.996035 | − | 0.575061i | −0.0889621 | − | 0.996035i | \(-0.528355\pi\) |
−0.907073 | + | 0.420974i | \(0.861688\pi\) | |||||||
\(824\) | 36.8825 | − | 21.2941i | 0.0447603 | − | 0.0258424i | ||||
\(825\) | 784.033 | − | 376.703i | 0.950343 | − | 0.456609i | ||||
\(826\) | 0.0536644 | − | 1.52371i | 6.49690e−5 | − | 0.00184469i | ||||
\(827\) | −1302.22 | −1.57463 | −0.787313 | − | 0.616554i | \(-0.788528\pi\) | ||||
−0.787313 | + | 0.616554i | \(0.788528\pi\) | |||||||
\(828\) | −823.993 | − | 194.505i | −0.995161 | − | 0.234910i | ||||
\(829\) | 431.724 | − | 747.768i | 0.520777 | − | 0.902012i | −0.478931 | − | 0.877853i | \(-0.658976\pi\) |
0.999708 | − | 0.0241599i | \(-0.00769107\pi\) | |||||||
\(830\) | 8.57801 | + | 29.6186i | 0.0103349 | + | 0.0356851i | ||||
\(831\) | 197.242 | − | 265.192i | 0.237356 | − | 0.319124i | ||||
\(832\) | 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 | ||||
\(837\) | −816.543 | − | 970.449i | −0.975559 | − | 1.15944i | ||||
\(838\) | 31.0556 | − | 17.9300i | 0.0370592 | − | 0.0213961i | ||||
\(839\) | − | 1072.55i | − | 1.27836i | −0.769057 | − | 0.639181i | \(-0.779274\pi\) | ||
0.769057 | − | 0.639181i | \(-0.220726\pi\) | |||||||
\(840\) | 55.0731 | − | 132.918i | 0.0655632 | − | 0.158236i | ||||
\(841\) | −232.163 | −0.276056 | ||||||||
\(842\) | 32.8825 | + | 56.9542i | 0.0390529 | + | 0.0676415i | ||||
\(843\) | 1192.69 | + | 138.860i | 1.41482 | + | 0.164722i | ||||
\(844\) | 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 | ||||||||
\(849\) | 572.828 | − | 770.167i | 0.674710 | − | 0.907146i | ||||
\(850\) | −17.5516 | − | 9.21337i | −0.0206489 | − | 0.0108393i | ||||
\(851\) | 978.090 | + | 564.701i | 1.14934 | + | 0.663573i | ||||
\(852\) | 342.632 | − | 460.668i | 0.402150 | − | 0.540690i | ||||
\(853\) | − | 328.468i | − | 0.385074i | −0.981290 | − | 0.192537i | \(-0.938328\pi\) | ||
0.981290 | − | 0.192537i | \(-0.0616715\pi\) | |||||||
\(854\) | 41.2512 | − | 65.9720i | 0.0483035 | − | 0.0772505i | ||||
\(855\) | −26.7645 | − | 533.843i | −0.0313035 | − | 0.624378i | ||||
\(856\) | 125.012 | + | 216.527i | 0.146042 | + | 0.252953i | ||||
\(857\) | 404.874 | − | 701.262i | 0.472431 | − | 0.818275i | −0.527071 | − | 0.849821i | \(-0.676710\pi\) |
0.999502 | + | 0.0315461i | \(0.0100431\pi\) | |||||||
\(858\) | −5.08094 | + | 43.6409i | −0.00592184 | + | 0.0508635i | ||||
\(859\) | 288.964 | + | 500.501i | 0.336396 | + | 0.582655i | 0.983752 | − | 0.179533i | \(-0.0574585\pi\) |
−0.647356 | + | 0.762188i | \(0.724125\pi\) | |||||||
\(860\) | −202.219 | − | 194.247i | −0.235138 | − | 0.225869i | ||||
\(861\) | −1468.33 | − | 223.583i | −1.70538 | − | 0.259679i | ||||
\(862\) | − | 80.1027i | − | 0.0929266i | ||||||
\(863\) | −270.895 | − | 469.205i | −0.313900 | − | 0.543690i | 0.665303 | − | 0.746573i | \(-0.268302\pi\) |
−0.979203 | + | 0.202883i | \(0.934969\pi\) | |||||||
\(864\) | −142.035 | − | 168.807i | −0.164393 | − | 0.195378i | ||||
\(865\) | −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 | ||||||
\(870\) | 13.9588 | + | 83.3161i | 0.0160445 | + | 0.0957656i | ||||
\(871\) | 72.8409 | − | 126.164i | 0.0836290 | − | 0.144850i | ||||
\(872\) | −23.3624 | + | 40.4649i | −0.0267918 | + | 0.0464047i | ||||
\(873\) | 55.7283 | − | 236.085i | 0.0638355 | − | 0.270429i | ||||
\(874\) | 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 | −0.966920 | − | 0.255080i | \(-0.917898\pi\) |
−0.262554 | + | 0.964917i | \(0.584565\pi\) | |||||||
\(878\) | −22.1864 | + | 38.4281i | −0.0252693 | + | 0.0437677i | ||||
\(879\) | 114.044 | − | 979.541i | 0.129743 | − | 1.11438i | ||||
\(880\) | 217.164 | − | 880.935i | 0.246777 | − | 1.00106i | ||||
\(881\) | 1358.85i | 1.54239i | 0.636596 | + | 0.771197i | \(0.280342\pi\) | ||||
−0.636596 | + | 0.771197i | \(0.719658\pi\) | |||||||
\(882\) | 16.6472 | + | 73.9647i | 0.0188743 | + | 0.0838602i | ||||
\(883\) | − | 130.644i | − | 0.147954i | −0.997260 | − | 0.0739771i | \(-0.976431\pi\) | ||
0.997260 | − | 0.0739771i | \(-0.0235692\pi\) | |||||||
\(884\) | −116.489 | + | 67.2548i | −0.131775 | + | 0.0760800i | ||||
\(885\) | −14.6618 | + | 12.0910i | −0.0165670 | + | 0.0136621i | ||||
\(886\) | 34.7660 | − | 60.2164i | 0.0392392 | − | 0.0679644i | ||||
\(887\) | −131.126 | − | 227.117i | −0.147831 | − | 0.256050i | 0.782595 | − | 0.622532i | \(-0.213896\pi\) |
−0.930425 | + | 0.366481i | \(0.880562\pi\) | |||||||
\(888\) | 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 | ||||
\(891\) | 517.635 | + | 783.943i | 0.580960 | + | 0.879846i | ||||
\(892\) | −362.964 | − | 209.557i | −0.406910 | − | 0.234930i | ||||
\(893\) | −310.184 | + | 537.254i | −0.347350 | + | 0.601629i | ||||
\(894\) | −29.1167 | + | 39.1474i | −0.0325690 | + | 0.0437890i | ||||
\(895\) | −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 | ||||
\(900\) | −844.568 | + | 291.170i | −0.938408 | + | 0.323522i | ||||
\(901\) | −53.0889 | − | 91.9527i | −0.0589222 | − | 0.102056i | ||||
\(902\) | 141.018 | 0.156339 | ||||||||
\(903\) | 293.232 | + | 44.6505i | 0.324731 | + | 0.0494468i | ||||
\(904\) | 87.7529 | 0.0970718 | ||||||||
\(905\) | 377.966 | + | 93.1744i | 0.417642 | + | 0.102955i | ||||
\(906\) | −1.76895 | + | 15.1937i | −0.00195248 | + | 0.0167701i | ||||
\(907\) | 605.517 | + | 349.595i | 0.667604 | + | 0.385441i | 0.795168 | − | 0.606389i | \(-0.207383\pi\) |
−0.127564 | + | 0.991830i | \(0.540716\pi\) | |||||||
\(908\) | 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 | \(0.829046\pi\) | |||||||
\(912\) | −447.367 | − | 332.739i | −0.490534 | − | 0.364845i | ||||
\(913\) | −360.309 | − | 208.024i | −0.394643 | − | 0.227847i | ||||
\(914\) | −31.5746 | − | 18.2296i | −0.0345455 | − | 0.0199448i | ||||
\(915\) | −956.502 | + | 160.252i | −1.04536 | + | 0.175139i | ||||
\(916\) | −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 | 0.998885 | − | 0.0472093i | \(-0.0150328\pi\) |
−0.540327 | + | 0.841455i | \(0.681699\pi\) | |||||||
\(920\) | −45.1561 | − | 155.918i | −0.0490827 | − | 0.169476i | ||||
\(921\) | −1292.18 | − | 150.444i | −1.40302 | − | 0.163349i | ||||
\(922\) | −46.9883 | + | 27.1287i | −0.0509634 | + | 0.0294237i | ||||
\(923\) | 354.034 | 0.383569 | ||||||||
\(924\) | 351.931 | + | 900.702i | 0.380878 | + | 0.974786i | ||||
\(925\) | 1190.75 | − | 47.9011i | 1.28730 | − | 0.0517850i | ||||
\(926\) | −91.1978 | + | 52.6531i | −0.0984857 | + | 0.0568608i | ||||
\(927\) | 267.903 | − | 80.4681i | 0.289000 | − | 0.0868049i | ||||
\(928\) | 231.808 | + | 133.835i | 0.249793 | + | 0.144218i | ||||
\(929\) | −498.241 | + | 287.660i | −0.536320 | + | 0.309645i | −0.743586 | − | 0.668640i | \(-0.766877\pi\) |
0.207266 | + | 0.978285i | \(0.433543\pi\) | |||||||
\(930\) | 42.3993 | − | 113.468i | 0.0455906 | − | 0.122009i | ||||
\(931\) | 254.831 | + | 523.274i | 0.273718 | + | 0.562056i | ||||
\(932\) | −1358.02 | −1.45710 | ||||||||
\(933\) | 641.117 | − | 861.981i | 0.687157 | − | 0.923881i | ||||
\(934\) | 34.6194 | − | 59.9626i | 0.0370658 | − | 0.0641998i | ||||
\(935\) | 256.900 | − | 74.4022i | 0.274760 | − | 0.0795746i | ||||
\(936\) | 20.8103 | − | 88.1599i | 0.0222333 | − | 0.0941879i | ||||
\(937\) | − | 23.2884i | − | 0.0248542i | −0.999923 | − | 0.0124271i | \(-0.996044\pi\) | ||
0.999923 | − | 0.0124271i | \(-0.00395577\pi\) | |||||||
\(938\) | −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 | \(-0.399978\pi\) |
−0.669079 | + | 0.743191i | \(0.733311\pi\) | |||||||
\(942\) | −23.5427 | − | 2.74099i | −0.0249922 | − | 0.00290975i | ||||
\(943\) | −1451.21 | + | 837.855i | −1.53893 | + | 0.888500i | ||||
\(944\) | 19.8229i | 0.0209988i | ||||||||
\(945\) | 552.621 | − | 766.573i | 0.584785 | − | 0.811189i | ||||
\(946\) | −28.1619 | −0.0297694 | ||||||||
\(947\) | 343.972 | + | 595.777i | 0.363223 | + | 0.629120i | 0.988489 | − | 0.151291i | \(-0.0483431\pi\) |
−0.625267 | + | 0.780411i | \(0.715010\pi\) | |||||||
\(948\) | −94.9113 | + | 815.206i | −0.100117 | + | 0.859922i | ||||
\(949\) | −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 | \(-0.389133\pi\) | ||||
0.341299 | + | 0.939955i | \(0.389133\pi\) | |||||||
\(954\) | 34.6664 | + | 8.18307i | 0.0363379 | + | 0.00857764i | ||||
\(955\) | 1141.76 | − | 330.671i | 1.19556 | − | 0.346252i | ||||
\(956\) | 363.065 | + | 209.616i | 0.379775 | + | 0.219263i | ||||
\(957\) | −914.569 | − | 680.230i | −0.955662 | − | 0.710795i | ||||
\(958\) | 46.1422i | 0.0481651i | ||||||||
\(959\) | 577.057 | − | 922.871i | 0.601727 | − | 0.962326i | ||||
\(960\) | −321.221 | + | 859.648i | −0.334606 | + | 0.895467i | ||||
\(961\) | −622.732 | − | 1078.60i | −0.648004 | − | 1.12238i | ||||
\(962\) | −30.0970 | + | 52.1295i | −0.0312858 | + | 0.0541886i | ||||
\(963\) | 472.407 | + | 1572.79i | 0.490557 | + | 1.63321i | ||||
\(964\) | 37.8613 | + | 65.5777i | 0.0392752 | + | 0.0680266i | ||||
\(965\) | −760.825 | − | 730.835i | −0.788420 | − | 0.757342i | ||||
\(966\) | 66.7946 | + | 53.4321i | 0.0691455 | + | 0.0553127i | ||||
\(967\) | 1283.37i | 1.32717i | 0.748100 | + | 0.663586i | \(0.230966\pi\) | ||||
−0.748100 | + | 0.663586i | \(0.769034\pi\) | |||||||
\(968\) | −9.25519 | − | 16.0305i | −0.00956115 | − | 0.0165604i | ||||
\(969\) | 19.0066 | − | 163.250i | 0.0196146 | − | 0.168473i | ||||
\(970\) | 22.2534 | − | 6.44492i | 0.0229416 | − | 0.00664425i | ||||
\(971\) | −197.998 | + | 114.314i | −0.203912 | + | 0.117728i | −0.598479 | − | 0.801139i | \(-0.704228\pi\) |
0.394567 | + | 0.918867i | \(0.370895\pi\) | |||||||
\(972\) | −434.952 | − | 861.215i | −0.447482 | − | 0.886023i | ||||
\(973\) | 918.602 | + | 32.3527i | 0.944092 | + | 0.0332504i | ||||
\(974\) | 12.0955i | 0.0124184i | ||||||||
\(975\) | −454.889 | − | 310.737i | −0.466552 | − | 0.318705i | ||||
\(976\) | −505.807 | + | 876.084i | −0.518245 | + | 0.897627i | ||||
\(977\) | 757.438 | − | 1311.92i | 0.775270 | − | 1.34281i | −0.159373 | − | 0.987218i | \(-0.550947\pi\) |
0.934643 | − | 0.355588i | \(-0.115719\pi\) | |||||||
\(978\) | 65.4772 | − | 88.0340i | 0.0669501 | − | 0.0900143i | ||||
\(979\) | −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 | \(-0.829907\pi\) |
0.871357 | + | 0.490650i | \(0.163240\pi\) | |||||||
\(984\) | −288.788 | − | 33.6225i | −0.293484 | − | 0.0341692i | ||||
\(985\) | 1838.63 | + | 453.250i | 1.86663 | + | 0.460152i | ||||
\(986\) | 25.9752i | 0.0263440i | ||||||||
\(987\) | −1021.57 | + | 399.159i | −1.03503 | + | 0.404417i | ||||
\(988\) | − | 346.410i | − | 0.350617i | ||||||
\(989\) | 289.812 | − | 167.323i | 0.293036 | − | 0.169184i | ||||
\(990\) | −40.9145 | + | 79.8513i | −0.0413278 | + | 0.0806579i | ||||
\(991\) | 439.883 | − | 761.900i | 0.443878 | − | 0.768819i | −0.554095 | − | 0.832453i | \(-0.686936\pi\) |
0.997973 | + | 0.0636342i | \(0.0202691\pi\) | |||||||
\(992\) | −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 | ||||
\(996\) | 342.860 | + | 255.009i | 0.344237 | + | 0.256033i | ||||
\(997\) | 1155.75 | + | 667.271i | 1.15922 | + | 0.669279i | 0.951118 | − | 0.308827i | \(-0.0999366\pi\) |
0.208107 | + | 0.978106i | \(0.433270\pi\) | |||||||
\(998\) | −3.37740 | + | 5.84982i | −0.00338417 | + | 0.00586155i | ||||
\(999\) | 225.208 | + | 1267.19i | 0.225434 | + | 1.26846i |
(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.74.9 | yes | 40 | |
3.2 | odd | 2 | inner | 105.3.o.b.74.11 | yes | 40 | |
5.4 | even | 2 | inner | 105.3.o.b.74.12 | yes | 40 | |
7.2 | even | 3 | inner | 105.3.o.b.44.10 | yes | 40 | |
15.14 | odd | 2 | inner | 105.3.o.b.74.10 | yes | 40 | |
21.2 | odd | 6 | inner | 105.3.o.b.44.12 | yes | 40 | |
35.9 | even | 6 | inner | 105.3.o.b.44.11 | yes | 40 | |
105.44 | odd | 6 | inner | 105.3.o.b.44.9 | ✓ | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.o.b.44.9 | ✓ | 40 | 105.44 | odd | 6 | inner | |
105.3.o.b.44.10 | yes | 40 | 7.2 | even | 3 | inner | |
105.3.o.b.44.11 | yes | 40 | 35.9 | even | 6 | inner | |
105.3.o.b.44.12 | yes | 40 | 21.2 | odd | 6 | inner | |
105.3.o.b.74.9 | yes | 40 | 1.1 | even | 1 | trivial | |
105.3.o.b.74.10 | yes | 40 | 15.14 | odd | 2 | inner | |
105.3.o.b.74.11 | yes | 40 | 3.2 | odd | 2 | inner | |
105.3.o.b.74.12 | yes | 40 | 5.4 | even | 2 | inner |