Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [345,2,Mod(16,345)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(345, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("345.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 345 = 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 345.m (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.75483886973\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 151.1 | ||
Character | \(\chi\) | \(=\) | 345.151 |
Dual form | 345.2.m.c.16.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/345\mathbb{Z}\right)^\times\).
\(n\) | \(116\) | \(166\) | \(277\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{11}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.71238 | − | 1.97619i | −1.21084 | − | 1.39738i | −0.893498 | − | 0.449067i | \(-0.851756\pi\) |
−0.317338 | − | 0.948312i | \(-0.602789\pi\) | |||||||
\(3\) | 0.841254 | + | 0.540641i | 0.485698 | + | 0.312139i | ||||
\(4\) | −0.688461 | + | 4.78835i | −0.344230 | + | 2.39417i | ||||
\(5\) | −0.415415 | + | 0.909632i | −0.185779 | + | 0.406800i | ||||
\(6\) | −0.372136 | − | 2.58826i | −0.151924 | − | 1.05665i | ||||
\(7\) | −3.22191 | − | 0.946039i | −1.21777 | − | 0.357569i | −0.391147 | − | 0.920328i | \(-0.627922\pi\) |
−0.826621 | + | 0.562759i | \(0.809740\pi\) | |||||||
\(8\) | 6.24206 | − | 4.01153i | 2.20690 | − | 1.41829i | ||||
\(9\) | 0.415415 | + | 0.909632i | 0.138472 | + | 0.303211i | ||||
\(10\) | 2.50896 | − | 0.736696i | 0.793402 | − | 0.232964i | ||||
\(11\) | 2.97536 | − | 3.43375i | 0.897106 | − | 1.03532i | −0.102072 | − | 0.994777i | \(-0.532547\pi\) |
0.999178 | − | 0.0405385i | \(-0.0129074\pi\) | |||||||
\(12\) | −3.16795 | + | 3.65601i | −0.914508 | + | 1.05540i | ||||
\(13\) | −4.24933 | + | 1.24772i | −1.17855 | + | 0.346055i | −0.811616 | − | 0.584191i | \(-0.801412\pi\) |
−0.366937 | + | 0.930246i | \(0.619594\pi\) | |||||||
\(14\) | 3.64759 | + | 7.98710i | 0.974859 | + | 2.13464i | ||||
\(15\) | −0.841254 | + | 0.540641i | −0.217211 | + | 0.139593i | ||||
\(16\) | −9.33308 | − | 2.74044i | −2.33327 | − | 0.685110i | ||||
\(17\) | −0.923869 | − | 6.42565i | −0.224071 | − | 1.55845i | −0.722409 | − | 0.691466i | \(-0.756965\pi\) |
0.498338 | − | 0.866983i | \(-0.333944\pi\) | |||||||
\(18\) | 1.08626 | − | 2.37858i | 0.256034 | − | 0.560636i | ||||
\(19\) | 1.07871 | − | 7.50260i | 0.247473 | − | 1.72121i | −0.365244 | − | 0.930912i | \(-0.619015\pi\) |
0.612717 | − | 0.790302i | \(-0.290076\pi\) | |||||||
\(20\) | −4.06964 | − | 2.61540i | −0.909999 | − | 0.584821i | ||||
\(21\) | −2.19898 | − | 2.53776i | −0.479856 | − | 0.553784i | ||||
\(22\) | −11.8807 | −2.53298 | ||||||||
\(23\) | −3.08438 | − | 3.67241i | −0.643138 | − | 0.765751i | ||||
\(24\) | 7.41995 | 1.51459 | ||||||||
\(25\) | −0.654861 | − | 0.755750i | −0.130972 | − | 0.151150i | ||||
\(26\) | 9.74221 | + | 6.26094i | 1.91061 | + | 1.22787i | ||||
\(27\) | −0.142315 | + | 0.989821i | −0.0273885 | + | 0.190491i | ||||
\(28\) | 6.74813 | − | 14.7763i | 1.27528 | − | 2.79246i | ||||
\(29\) | 0.103326 | + | 0.718648i | 0.0191872 | + | 0.133450i | 0.997163 | − | 0.0752663i | \(-0.0239807\pi\) |
−0.977976 | + | 0.208716i | \(0.933072\pi\) | |||||||
\(30\) | 2.50896 | + | 0.736696i | 0.458071 | + | 0.134502i | ||||
\(31\) | −2.89757 | + | 1.86215i | −0.520419 | + | 0.334453i | −0.774338 | − | 0.632773i | \(-0.781917\pi\) |
0.253919 | + | 0.967226i | \(0.418280\pi\) | |||||||
\(32\) | 4.40143 | + | 9.63779i | 0.778071 | + | 1.70374i | ||||
\(33\) | 4.35946 | − | 1.28005i | 0.758885 | − | 0.222829i | ||||
\(34\) | −11.1163 | + | 12.8289i | −1.90643 | + | 2.20014i | ||||
\(35\) | 2.19898 | − | 2.53776i | 0.371695 | − | 0.428959i | ||||
\(36\) | −4.64163 | + | 1.36291i | −0.773606 | + | 0.227151i | ||||
\(37\) | 1.61577 | + | 3.53805i | 0.265631 | + | 0.581652i | 0.994704 | − | 0.102785i | \(-0.0327754\pi\) |
−0.729072 | + | 0.684437i | \(0.760048\pi\) | |||||||
\(38\) | −16.6737 | + | 10.7156i | −2.70484 | + | 1.73829i | ||||
\(39\) | −4.24933 | − | 1.24772i | −0.680438 | − | 0.199795i | ||||
\(40\) | 1.05597 | + | 7.34443i | 0.166963 | + | 1.16126i | ||||
\(41\) | 0.199578 | − | 0.437015i | 0.0311689 | − | 0.0682503i | −0.893407 | − | 0.449248i | \(-0.851692\pi\) |
0.924576 | + | 0.380997i | \(0.124419\pi\) | |||||||
\(42\) | −1.24961 | + | 8.69121i | −0.192819 | + | 1.34108i | ||||
\(43\) | 2.82894 | + | 1.81805i | 0.431409 | + | 0.277250i | 0.738271 | − | 0.674504i | \(-0.235643\pi\) |
−0.306862 | + | 0.951754i | \(0.599279\pi\) | |||||||
\(44\) | 14.3936 | + | 16.6111i | 2.16992 | + | 2.50422i | ||||
\(45\) | −1.00000 | −0.149071 | ||||||||
\(46\) | −1.97576 | + | 12.3839i | −0.291310 | + | 1.82591i | ||||
\(47\) | 10.8226 | 1.57864 | 0.789321 | − | 0.613981i | \(-0.210433\pi\) | ||||
0.789321 | + | 0.613981i | \(0.210433\pi\) | |||||||
\(48\) | −6.36989 | − | 7.35125i | −0.919415 | − | 1.06106i | ||||
\(49\) | 3.59696 | + | 2.31162i | 0.513851 | + | 0.330232i | ||||
\(50\) | −0.372136 | + | 2.58826i | −0.0526280 | + | 0.366036i | ||||
\(51\) | 2.69676 | − | 5.90508i | 0.377622 | − | 0.826877i | ||||
\(52\) | −3.04901 | − | 21.2063i | −0.422821 | − | 2.94079i | ||||
\(53\) | −10.9100 | − | 3.20346i | −1.49860 | − | 0.440029i | −0.573326 | − | 0.819327i | \(-0.694347\pi\) |
−0.925274 | + | 0.379298i | \(0.876165\pi\) | |||||||
\(54\) | 2.19978 | − | 1.41371i | 0.299352 | − | 0.192382i | ||||
\(55\) | 1.88744 | + | 4.13292i | 0.254502 | + | 0.557283i | ||||
\(56\) | −23.9064 | + | 7.01956i | −3.19463 | + | 0.938029i | ||||
\(57\) | 4.96368 | − | 5.72839i | 0.657455 | − | 0.758744i | ||||
\(58\) | 1.24325 | − | 1.43479i | 0.163247 | − | 0.188397i | ||||
\(59\) | −5.83162 | + | 1.71232i | −0.759213 | + | 0.222925i | −0.638352 | − | 0.769744i | \(-0.720384\pi\) |
−0.120861 | + | 0.992669i | \(0.538565\pi\) | |||||||
\(60\) | −2.00961 | − | 4.40043i | −0.259439 | − | 0.568093i | ||||
\(61\) | −1.15240 | + | 0.740602i | −0.147550 | + | 0.0948244i | −0.612333 | − | 0.790600i | \(-0.709769\pi\) |
0.464783 | + | 0.885425i | \(0.346132\pi\) | |||||||
\(62\) | 8.64172 | + | 2.53744i | 1.09750 | + | 0.322255i | ||||
\(63\) | −0.477884 | − | 3.32375i | −0.0602077 | − | 0.418754i | ||||
\(64\) | 3.42765 | − | 7.50550i | 0.428456 | − | 0.938188i | ||||
\(65\) | 0.630274 | − | 4.38365i | 0.0781759 | − | 0.543725i | ||||
\(66\) | −9.99470 | − | 6.42320i | −1.23026 | − | 0.790641i | ||||
\(67\) | 5.68458 | + | 6.56035i | 0.694482 | + | 0.801474i | 0.987996 | − | 0.154480i | \(-0.0493703\pi\) |
−0.293514 | + | 0.955955i | \(0.594825\pi\) | |||||||
\(68\) | 31.4043 | 3.80833 | ||||||||
\(69\) | −0.609290 | − | 4.75697i | −0.0733499 | − | 0.572672i | ||||
\(70\) | −8.78059 | −1.04948 | ||||||||
\(71\) | −3.41996 | − | 3.94685i | −0.405875 | − | 0.468405i | 0.515607 | − | 0.856825i | \(-0.327566\pi\) |
−0.921482 | + | 0.388420i | \(0.873021\pi\) | |||||||
\(72\) | 6.24206 | + | 4.01153i | 0.735634 | + | 0.472763i | ||||
\(73\) | 0.691195 | − | 4.80736i | 0.0808982 | − | 0.562659i | −0.908550 | − | 0.417775i | \(-0.862810\pi\) |
0.989449 | − | 0.144884i | \(-0.0462810\pi\) | |||||||
\(74\) | 4.22505 | − | 9.25157i | 0.491152 | − | 1.07547i | ||||
\(75\) | −0.142315 | − | 0.989821i | −0.0164331 | − | 0.114295i | ||||
\(76\) | 35.1824 | + | 10.3305i | 4.03570 | + | 1.18499i | ||||
\(77\) | −12.8348 | + | 8.24844i | −1.46266 | + | 0.939997i | ||||
\(78\) | 4.81075 | + | 10.5341i | 0.544710 | + | 1.19275i | ||||
\(79\) | −4.55729 | + | 1.33814i | −0.512735 | + | 0.150552i | −0.527857 | − | 0.849333i | \(-0.677004\pi\) |
0.0151225 | + | 0.999886i | \(0.495186\pi\) | |||||||
\(80\) | 6.36989 | − | 7.35125i | 0.712176 | − | 0.821894i | ||||
\(81\) | −0.654861 | + | 0.755750i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | −1.20538 | + | 0.353932i | −0.133112 | + | 0.0390852i | ||||
\(83\) | 0.0538928 | + | 0.118009i | 0.00591550 | + | 0.0129531i | 0.912567 | − | 0.408928i | \(-0.134097\pi\) |
−0.906651 | + | 0.421881i | \(0.861370\pi\) | |||||||
\(84\) | 13.6656 | − | 8.78233i | 1.49104 | − | 0.958231i | ||||
\(85\) | 6.22876 | + | 1.82893i | 0.675604 | + | 0.198375i | ||||
\(86\) | −1.25141 | − | 8.70372i | −0.134943 | − | 0.938546i | ||||
\(87\) | −0.301607 | + | 0.660428i | −0.0323357 | + | 0.0708053i | ||||
\(88\) | 4.79780 | − | 33.3695i | 0.511448 | − | 3.55720i | ||||
\(89\) | −1.88276 | − | 1.20997i | −0.199572 | − | 0.128257i | 0.437038 | − | 0.899443i | \(-0.356027\pi\) |
−0.636610 | + | 0.771186i | \(0.719664\pi\) | |||||||
\(90\) | 1.71238 | + | 1.97619i | 0.180501 | + | 0.208309i | ||||
\(91\) | 14.8714 | 1.55894 | ||||||||
\(92\) | 19.7083 | − | 12.2408i | 2.05473 | − | 1.27619i | ||||
\(93\) | −3.44435 | −0.357162 | ||||||||
\(94\) | −18.5325 | − | 21.3876i | −1.91148 | − | 2.20596i | ||||
\(95\) | 6.37649 | + | 4.09792i | 0.654214 | + | 0.420438i | ||||
\(96\) | −1.50786 | + | 10.4874i | −0.153896 | + | 1.07037i | ||||
\(97\) | 2.93361 | − | 6.42370i | 0.297863 | − | 0.652228i | −0.700233 | − | 0.713914i | \(-0.746921\pi\) |
0.998096 | + | 0.0616863i | \(0.0196478\pi\) | |||||||
\(98\) | −1.59115 | − | 11.0667i | −0.160730 | − | 1.11790i | ||||
\(99\) | 4.35946 | + | 1.28005i | 0.438142 | + | 0.128650i | ||||
\(100\) | 4.06964 | − | 2.61540i | 0.406964 | − | 0.261540i | ||||
\(101\) | −3.92121 | − | 8.58626i | −0.390175 | − | 0.854365i | −0.998173 | − | 0.0604259i | \(-0.980754\pi\) |
0.607997 | − | 0.793939i | \(-0.291973\pi\) | |||||||
\(102\) | −16.2875 | + | 4.78243i | −1.61270 | + | 0.473531i | ||||
\(103\) | 9.65374 | − | 11.1410i | 0.951211 | − | 1.09776i | −0.0439041 | − | 0.999036i | \(-0.513980\pi\) |
0.995115 | − | 0.0987204i | \(-0.0314749\pi\) | |||||||
\(104\) | −21.5194 | + | 24.8347i | −2.11015 | + | 2.43524i | ||||
\(105\) | 3.22191 | − | 0.946039i | 0.314426 | − | 0.0923239i | ||||
\(106\) | 12.3514 | + | 27.0458i | 1.19967 | + | 2.62692i | ||||
\(107\) | −9.15159 | + | 5.88137i | −0.884717 | + | 0.568573i | −0.902221 | − | 0.431274i | \(-0.858064\pi\) |
0.0175039 | + | 0.999847i | \(0.494428\pi\) | |||||||
\(108\) | −4.64163 | − | 1.36291i | −0.446641 | − | 0.131146i | ||||
\(109\) | 1.00558 | + | 6.99397i | 0.0963172 | + | 0.669901i | 0.979585 | + | 0.201031i | \(0.0644293\pi\) |
−0.883268 | + | 0.468869i | \(0.844662\pi\) | |||||||
\(110\) | 4.93543 | − | 10.8071i | 0.470575 | − | 1.03041i | ||||
\(111\) | −0.553539 | + | 3.84995i | −0.0525396 | + | 0.365421i | ||||
\(112\) | 27.4778 | + | 17.6589i | 2.59641 | + | 1.66861i | ||||
\(113\) | −3.38846 | − | 3.91049i | −0.318759 | − | 0.367868i | 0.573646 | − | 0.819104i | \(-0.305529\pi\) |
−0.892405 | + | 0.451236i | \(0.850983\pi\) | |||||||
\(114\) | −19.8201 | −1.85632 | ||||||||
\(115\) | 4.62184 | − | 1.28008i | 0.430989 | − | 0.119368i | ||||
\(116\) | −3.51228 | −0.326107 | ||||||||
\(117\) | −2.90020 | − | 3.34701i | −0.268124 | − | 0.309431i | ||||
\(118\) | 13.3698 | + | 8.59227i | 1.23079 | + | 0.790983i | ||||
\(119\) | −3.10229 | + | 21.5769i | −0.284386 | + | 1.97795i | ||||
\(120\) | −3.08236 | + | 6.74943i | −0.281380 | + | 0.616135i | ||||
\(121\) | −1.37241 | − | 9.54530i | −0.124764 | − | 0.867754i | ||||
\(122\) | 3.43692 | + | 1.00917i | 0.311164 | + | 0.0913661i | ||||
\(123\) | 0.404164 | − | 0.259740i | 0.0364422 | − | 0.0234200i | ||||
\(124\) | −6.92179 | − | 15.1566i | −0.621595 | − | 1.36110i | ||||
\(125\) | 0.959493 | − | 0.281733i | 0.0858197 | − | 0.0251989i | ||||
\(126\) | −5.75006 | + | 6.63592i | −0.512256 | + | 0.591175i | ||||
\(127\) | −5.38458 | + | 6.21413i | −0.477804 | + | 0.551415i | −0.942566 | − | 0.334021i | \(-0.891594\pi\) |
0.464762 | + | 0.885436i | \(0.346140\pi\) | |||||||
\(128\) | −0.369601 | + | 0.108525i | −0.0326684 | + | 0.00959232i | ||||
\(129\) | 1.39694 | + | 3.05888i | 0.122994 | + | 0.269319i | ||||
\(130\) | −9.74221 | + | 6.26094i | −0.854449 | + | 0.549121i | ||||
\(131\) | 15.6290 | + | 4.58909i | 1.36551 | + | 0.400950i | 0.880703 | − | 0.473670i | \(-0.157071\pi\) |
0.484809 | + | 0.874620i | \(0.338889\pi\) | |||||||
\(132\) | 3.12803 | + | 21.7559i | 0.272260 | + | 1.89361i | ||||
\(133\) | −10.5733 | + | 23.1522i | −0.916818 | + | 2.00755i | ||||
\(134\) | 3.23036 | − | 22.4676i | 0.279061 | − | 1.94091i | ||||
\(135\) | −0.841254 | − | 0.540641i | −0.0724036 | − | 0.0465310i | ||||
\(136\) | −31.5435 | − | 36.4032i | −2.70483 | − | 3.12155i | ||||
\(137\) | −0.756822 | −0.0646596 | −0.0323298 | − | 0.999477i | \(-0.510293\pi\) | ||||
−0.0323298 | + | 0.999477i | \(0.510293\pi\) | |||||||
\(138\) | −8.35736 | + | 9.34982i | −0.711425 | + | 0.795910i | ||||
\(139\) | −18.5056 | −1.56962 | −0.784810 | − | 0.619736i | \(-0.787240\pi\) | ||||
−0.784810 | + | 0.619736i | \(0.787240\pi\) | |||||||
\(140\) | 10.6378 | + | 12.2766i | 0.899054 | + | 1.03756i | ||||
\(141\) | 9.10457 | + | 5.85115i | 0.766743 | + | 0.492756i | ||||
\(142\) | −1.94345 | + | 13.5170i | −0.163091 | + | 1.13432i | ||||
\(143\) | −8.35897 | + | 18.3036i | −0.699012 | + | 1.53062i | ||||
\(144\) | −1.38431 | − | 9.62809i | −0.115359 | − | 0.802341i | ||||
\(145\) | −0.696629 | − | 0.204549i | −0.0578519 | − | 0.0169868i | ||||
\(146\) | −10.6839 | + | 6.86611i | −0.884203 | + | 0.568243i | ||||
\(147\) | 1.77619 | + | 3.88932i | 0.146498 | + | 0.320786i | ||||
\(148\) | −18.0538 | + | 5.30108i | −1.48401 | + | 0.435746i | ||||
\(149\) | 12.7972 | − | 14.7687i | 1.04838 | − | 1.20990i | 0.0712104 | − | 0.997461i | \(-0.477314\pi\) |
0.977174 | − | 0.212439i | \(-0.0681407\pi\) | |||||||
\(150\) | −1.71238 | + | 1.97619i | −0.139815 | + | 0.161356i | ||||
\(151\) | −3.87449 | + | 1.13765i | −0.315302 | + | 0.0925810i | −0.435555 | − | 0.900162i | \(-0.643448\pi\) |
0.120253 | + | 0.992743i | \(0.461630\pi\) | |||||||
\(152\) | −23.3635 | − | 51.1589i | −1.89503 | − | 4.14954i | ||||
\(153\) | 5.46119 | − | 3.50969i | 0.441511 | − | 0.283742i | ||||
\(154\) | 38.2786 | + | 11.2396i | 3.08458 | + | 0.905715i | ||||
\(155\) | −0.490182 | − | 3.40929i | −0.0393723 | − | 0.273841i | ||||
\(156\) | 8.90001 | − | 19.4883i | 0.712571 | − | 1.56031i | ||||
\(157\) | −1.31099 | + | 9.11812i | −0.104628 | + | 0.727705i | 0.868206 | + | 0.496203i | \(0.165273\pi\) |
−0.972835 | + | 0.231502i | \(0.925636\pi\) | |||||||
\(158\) | 10.4482 | + | 6.71467i | 0.831217 | + | 0.534191i | ||||
\(159\) | −7.44614 | − | 8.59330i | −0.590517 | − | 0.681493i | ||||
\(160\) | −10.5953 | −0.837629 | ||||||||
\(161\) | 6.46336 | + | 14.7501i | 0.509384 | + | 1.16247i | ||||
\(162\) | 2.61488 | 0.205444 | ||||||||
\(163\) | 10.4016 | + | 12.0041i | 0.814717 | + | 0.940233i | 0.999091 | − | 0.0426227i | \(-0.0135713\pi\) |
−0.184374 | + | 0.982856i | \(0.559026\pi\) | |||||||
\(164\) | 1.95518 | + | 1.25652i | 0.152674 | + | 0.0981176i | ||||
\(165\) | −0.646608 | + | 4.49726i | −0.0503384 | + | 0.350111i | ||||
\(166\) | 0.140923 | − | 0.308579i | 0.0109378 | − | 0.0239503i | ||||
\(167\) | −0.185381 | − | 1.28935i | −0.0143452 | − | 0.0997732i | 0.981391 | − | 0.192021i | \(-0.0615040\pi\) |
−0.995736 | + | 0.0922474i | \(0.970595\pi\) | |||||||
\(168\) | −23.9064 | − | 7.01956i | −1.84442 | − | 0.541571i | ||||
\(169\) | 5.56375 | − | 3.57561i | 0.427981 | − | 0.275047i | ||||
\(170\) | −7.05170 | − | 15.4411i | −0.540841 | − | 1.18428i | ||||
\(171\) | 7.27271 | − | 2.13546i | 0.556158 | − | 0.163303i | ||||
\(172\) | −10.6531 | + | 12.2943i | −0.812288 | + | 0.937430i | ||||
\(173\) | 8.36790 | − | 9.65708i | 0.636200 | − | 0.734214i | −0.342498 | − | 0.939518i | \(-0.611273\pi\) |
0.978698 | + | 0.205305i | \(0.0658185\pi\) | |||||||
\(174\) | 1.82160 | − | 0.534870i | 0.138095 | − | 0.0405484i | ||||
\(175\) | 1.39494 | + | 3.05448i | 0.105447 | + | 0.230897i | ||||
\(176\) | −37.1793 | + | 23.8937i | −2.80250 | + | 1.80105i | ||||
\(177\) | −5.83162 | − | 1.71232i | −0.438332 | − | 0.128706i | ||||
\(178\) | 0.832854 | + | 5.79263i | 0.0624251 | + | 0.434176i | ||||
\(179\) | 0.0461786 | − | 0.101117i | 0.00345155 | − | 0.00755783i | −0.907898 | − | 0.419190i | \(-0.862314\pi\) |
0.911350 | + | 0.411633i | \(0.135041\pi\) | |||||||
\(180\) | 0.688461 | − | 4.78835i | 0.0513148 | − | 0.356903i | ||||
\(181\) | 3.80972 | + | 2.44836i | 0.283175 | + | 0.181985i | 0.674516 | − | 0.738260i | \(-0.264352\pi\) |
−0.391341 | + | 0.920246i | \(0.627989\pi\) | |||||||
\(182\) | −25.4655 | − | 29.3887i | −1.88763 | − | 2.17844i | ||||
\(183\) | −1.36986 | −0.101263 | ||||||||
\(184\) | −33.9849 | − | 10.5503i | −2.50540 | − | 0.777781i | ||||
\(185\) | −3.88954 | −0.285965 | ||||||||
\(186\) | 5.89804 | + | 6.80670i | 0.432465 | + | 0.499091i | ||||
\(187\) | −24.8129 | − | 15.9463i | −1.81450 | − | 1.16611i | ||||
\(188\) | −7.45095 | + | 51.8225i | −0.543416 | + | 3.77954i | ||||
\(189\) | 1.39494 | − | 3.05448i | 0.101467 | − | 0.222181i | ||||
\(190\) | −2.82070 | − | 19.6184i | −0.204635 | − | 1.42327i | ||||
\(191\) | 11.0462 | + | 3.24347i | 0.799278 | + | 0.234689i | 0.655771 | − | 0.754960i | \(-0.272344\pi\) |
0.143507 | + | 0.989649i | \(0.454162\pi\) | |||||||
\(192\) | 6.94130 | − | 4.46090i | 0.500945 | − | 0.321938i | ||||
\(193\) | 1.81295 | + | 3.96980i | 0.130499 | + | 0.285752i | 0.963590 | − | 0.267382i | \(-0.0861587\pi\) |
−0.833092 | + | 0.553135i | \(0.813431\pi\) | |||||||
\(194\) | −17.7179 | + | 5.20245i | −1.27207 | + | 0.373514i | ||||
\(195\) | 2.90020 | − | 3.34701i | 0.207688 | − | 0.239684i | ||||
\(196\) | −13.5452 | + | 15.6320i | −0.967516 | + | 1.11657i | ||||
\(197\) | 5.55720 | − | 1.63174i | 0.395934 | − | 0.116257i | −0.0777036 | − | 0.996977i | \(-0.524759\pi\) |
0.473638 | + | 0.880720i | \(0.342941\pi\) | |||||||
\(198\) | −4.93543 | − | 10.8071i | −0.350746 | − | 0.768026i | ||||
\(199\) | 11.8347 | − | 7.60572i | 0.838942 | − | 0.539155i | −0.0491660 | − | 0.998791i | \(-0.515656\pi\) |
0.888108 | + | 0.459636i | \(0.152020\pi\) | |||||||
\(200\) | −7.11939 | − | 2.09044i | −0.503417 | − | 0.147817i | ||||
\(201\) | 1.23538 | + | 8.59223i | 0.0871367 | + | 0.606049i | ||||
\(202\) | −10.2535 | + | 22.4520i | −0.721434 | + | 1.57972i | ||||
\(203\) | 0.346962 | − | 2.41317i | 0.0243520 | − | 0.169372i | ||||
\(204\) | 26.4190 | + | 16.9784i | 1.84970 | + | 1.18873i | ||||
\(205\) | 0.314615 | + | 0.363085i | 0.0219737 | + | 0.0253590i | ||||
\(206\) | −38.5477 | −2.68574 | ||||||||
\(207\) | 2.05925 | − | 4.33122i | 0.143127 | − | 0.301041i | ||||
\(208\) | 43.0787 | 2.98697 | ||||||||
\(209\) | −22.5525 | − | 26.0270i | −1.55999 | − | 1.80032i | ||||
\(210\) | −7.38670 | − | 4.74714i | −0.509731 | − | 0.327584i | ||||
\(211\) | 2.90082 | − | 20.1757i | 0.199701 | − | 1.38895i | −0.605452 | − | 0.795882i | \(-0.707007\pi\) |
0.805152 | − | 0.593068i | \(-0.202083\pi\) | |||||||
\(212\) | 22.8504 | − | 50.0353i | 1.56937 | − | 3.43644i | ||||
\(213\) | −0.743229 | − | 5.16927i | −0.0509252 | − | 0.354193i | ||||
\(214\) | 27.2937 | + | 8.01416i | 1.86576 | + | 0.547837i | ||||
\(215\) | −2.82894 | + | 1.81805i | −0.192932 | + | 0.123990i | ||||
\(216\) | 3.08236 | + | 6.74943i | 0.209728 | + | 0.459240i | ||||
\(217\) | 11.0974 | − | 3.25849i | 0.753340 | − | 0.221200i | ||||
\(218\) | 12.0995 | − | 13.9636i | 0.819481 | − | 0.945732i | ||||
\(219\) | 3.18053 | − | 3.67052i | 0.214920 | − | 0.248031i | ||||
\(220\) | −21.0893 | + | 6.19237i | −1.42184 | + | 0.417490i | ||||
\(221\) | 11.9432 | + | 26.1520i | 0.803388 | + | 1.75917i | ||||
\(222\) | 8.55611 | − | 5.49868i | 0.574249 | − | 0.369047i | ||||
\(223\) | 1.44121 | + | 0.423176i | 0.0965102 | + | 0.0283380i | 0.329631 | − | 0.944110i | \(-0.393076\pi\) |
−0.233121 | + | 0.972448i | \(0.574894\pi\) | |||||||
\(224\) | −5.06330 | − | 35.2160i | −0.338306 | − | 2.35297i | ||||
\(225\) | 0.415415 | − | 0.909632i | 0.0276943 | − | 0.0606421i | ||||
\(226\) | −1.92555 | + | 13.3925i | −0.128086 | + | 0.890855i | ||||
\(227\) | 12.6259 | + | 8.11414i | 0.838007 | + | 0.538555i | 0.887813 | − | 0.460204i | \(-0.152224\pi\) |
−0.0498057 | + | 0.998759i | \(0.515860\pi\) | |||||||
\(228\) | 24.0122 | + | 27.7116i | 1.59025 | + | 1.83525i | ||||
\(229\) | 1.31445 | 0.0868616 | 0.0434308 | − | 0.999056i | \(-0.486171\pi\) | ||||
0.0434308 | + | 0.999056i | \(0.486171\pi\) | |||||||
\(230\) | −10.4440 | − | 6.94167i | −0.688659 | − | 0.457720i | ||||
\(231\) | −15.2568 | −1.00382 | ||||||||
\(232\) | 3.52785 | + | 4.07135i | 0.231614 | + | 0.267297i | ||||
\(233\) | −14.0181 | − | 9.00891i | −0.918359 | − | 0.590193i | −0.00617763 | − | 0.999981i | \(-0.501966\pi\) |
−0.912181 | + | 0.409788i | \(0.865603\pi\) | |||||||
\(234\) | −1.64809 | + | 11.4627i | −0.107739 | + | 0.749341i | ||||
\(235\) | −4.49588 | + | 9.84460i | −0.293279 | + | 0.642191i | ||||
\(236\) | −4.18434 | − | 29.1027i | −0.272377 | − | 1.89443i | ||||
\(237\) | −4.55729 | − | 1.33814i | −0.296028 | − | 0.0869215i | ||||
\(238\) | 47.9524 | − | 30.8171i | 3.10829 | − | 1.99758i | ||||
\(239\) | 11.4371 | + | 25.0437i | 0.739803 | + | 1.61994i | 0.783878 | + | 0.620915i | \(0.213239\pi\) |
−0.0440752 | + | 0.999028i | \(0.514034\pi\) | |||||||
\(240\) | 9.33308 | − | 2.74044i | 0.602448 | − | 0.176895i | ||||
\(241\) | −5.76839 | + | 6.65708i | −0.371575 | + | 0.428820i | −0.910484 | − | 0.413543i | \(-0.864291\pi\) |
0.538910 | + | 0.842364i | \(0.318836\pi\) | |||||||
\(242\) | −16.5133 | + | 19.0573i | −1.06151 | + | 1.22505i | ||||
\(243\) | −0.959493 | + | 0.281733i | −0.0615515 | + | 0.0180732i | ||||
\(244\) | −2.75288 | − | 6.02797i | −0.176235 | − | 0.385901i | ||||
\(245\) | −3.59696 | + | 2.31162i | −0.229801 | + | 0.147684i | ||||
\(246\) | −1.20538 | − | 0.353932i | −0.0768523 | − | 0.0225659i | ||||
\(247\) | 4.77732 | + | 33.2270i | 0.303973 | + | 2.11418i | ||||
\(248\) | −10.6167 | + | 23.2474i | −0.674162 | + | 1.47621i | ||||
\(249\) | −0.0184628 | + | 0.128412i | −0.00117004 | + | 0.00813777i | ||||
\(250\) | −2.19978 | − | 1.41371i | −0.139126 | − | 0.0894109i | ||||
\(251\) | 7.68932 | + | 8.87395i | 0.485345 | + | 0.560119i | 0.944616 | − | 0.328178i | \(-0.106435\pi\) |
−0.459270 | + | 0.888297i | \(0.651889\pi\) | |||||||
\(252\) | 16.2443 | 1.02329 | ||||||||
\(253\) | −21.7873 | − | 0.335763i | −1.36976 | − | 0.0211092i | ||||
\(254\) | 21.5008 | 1.34908 | ||||||||
\(255\) | 4.25118 | + | 4.90612i | 0.266219 | + | 0.307233i | ||||
\(256\) | −13.0352 | − | 8.37724i | −0.814703 | − | 0.523578i | ||||
\(257\) | −1.87292 | + | 13.0265i | −0.116830 | + | 0.812568i | 0.844181 | + | 0.536058i | \(0.180087\pi\) |
−0.961011 | + | 0.276510i | \(0.910822\pi\) | |||||||
\(258\) | 3.65283 | − | 7.99859i | 0.227416 | − | 0.497971i | ||||
\(259\) | −1.85875 | − | 12.9279i | −0.115497 | − | 0.803299i | ||||
\(260\) | 20.5565 | + | 6.03594i | 1.27486 | + | 0.374333i | ||||
\(261\) | −0.610782 | + | 0.392526i | −0.0378065 | + | 0.0242968i | ||||
\(262\) | −17.6939 | − | 38.7442i | −1.09313 | − | 2.39362i | ||||
\(263\) | −20.4860 | + | 6.01522i | −1.26322 | + | 0.370914i | −0.843691 | − | 0.536829i | \(-0.819622\pi\) |
−0.419527 | + | 0.907743i | \(0.637804\pi\) | |||||||
\(264\) | 22.0771 | − | 25.4783i | 1.35875 | − | 1.56808i | ||||
\(265\) | 7.44614 | − | 8.59330i | 0.457413 | − | 0.527882i | ||||
\(266\) | 63.8587 | − | 18.7506i | 3.91543 | − | 1.14967i | ||||
\(267\) | −0.929714 | − | 2.03579i | −0.0568976 | − | 0.124588i | ||||
\(268\) | −35.3269 | + | 22.7032i | −2.15793 | + | 1.38682i | ||||
\(269\) | −13.9019 | − | 4.08195i | −0.847611 | − | 0.248881i | −0.171045 | − | 0.985263i | \(-0.554714\pi\) |
−0.676566 | + | 0.736382i | \(0.736533\pi\) | |||||||
\(270\) | 0.372136 | + | 2.58826i | 0.0226475 | + | 0.157517i | ||||
\(271\) | 10.6768 | − | 23.3790i | 0.648571 | − | 1.42017i | −0.244228 | − | 0.969718i | \(-0.578535\pi\) |
0.892799 | − | 0.450455i | \(-0.148738\pi\) | |||||||
\(272\) | −8.98656 | + | 62.5029i | −0.544890 | + | 3.78979i | ||||
\(273\) | 12.5106 | + | 8.04007i | 0.757176 | + | 0.486607i | ||||
\(274\) | 1.29597 | + | 1.49563i | 0.0782923 | + | 0.0903541i | ||||
\(275\) | −4.54351 | −0.273984 | ||||||||
\(276\) | 23.1975 | + | 0.357495i | 1.39633 | + | 0.0215187i | ||||
\(277\) | −3.56368 | −0.214121 | −0.107060 | − | 0.994253i | \(-0.534144\pi\) | ||||
−0.107060 | + | 0.994253i | \(0.534144\pi\) | |||||||
\(278\) | 31.6886 | + | 36.5706i | 1.90055 | + | 2.19336i | ||||
\(279\) | −2.89757 | − | 1.86215i | −0.173473 | − | 0.111484i | ||||
\(280\) | 3.54587 | − | 24.6621i | 0.211906 | − | 1.47384i | ||||
\(281\) | 1.24465 | − | 2.72541i | 0.0742497 | − | 0.162584i | −0.868867 | − | 0.495045i | \(-0.835152\pi\) |
0.943117 | + | 0.332461i | \(0.107879\pi\) | |||||||
\(282\) | −4.02749 | − | 28.0118i | −0.239833 | − | 1.66808i | ||||
\(283\) | 28.7283 | + | 8.43538i | 1.70772 | + | 0.501431i | 0.982369 | − | 0.186951i | \(-0.0598604\pi\) |
0.725349 | + | 0.688382i | \(0.241679\pi\) | |||||||
\(284\) | 21.2534 | − | 13.6587i | 1.26116 | − | 0.810497i | ||||
\(285\) | 3.14874 | + | 6.89478i | 0.186515 | + | 0.408412i | ||||
\(286\) | 50.4852 | − | 14.8238i | 2.98525 | − | 0.876548i | ||||
\(287\) | −1.05646 | + | 1.21922i | −0.0623607 | + | 0.0719681i | ||||
\(288\) | −6.93842 | + | 8.00737i | −0.408850 | + | 0.471839i | ||||
\(289\) | −24.1240 | + | 7.08346i | −1.41906 | + | 0.416674i | ||||
\(290\) | 0.788666 | + | 1.72694i | 0.0463121 | + | 0.101409i | ||||
\(291\) | 5.94082 | − | 3.81793i | 0.348257 | − | 0.223811i | ||||
\(292\) | 22.5435 | + | 6.61936i | 1.31926 | + | 0.387369i | ||||
\(293\) | −1.25273 | − | 8.71291i | −0.0731851 | − | 0.509013i | −0.993135 | − | 0.116977i | \(-0.962680\pi\) |
0.919950 | − | 0.392037i | \(-0.128229\pi\) | |||||||
\(294\) | 4.64453 | − | 10.1701i | 0.270875 | − | 0.593133i | ||||
\(295\) | 0.864964 | − | 6.01596i | 0.0503601 | − | 0.350262i | ||||
\(296\) | 24.2787 | + | 15.6030i | 1.41117 | + | 0.906906i | ||||
\(297\) | 2.97536 | + | 3.43375i | 0.172648 | + | 0.199247i | ||||
\(298\) | −51.0995 | −2.96011 | ||||||||
\(299\) | 17.6887 | + | 11.7569i | 1.02296 | + | 0.679917i | ||||
\(300\) | 4.83759 | 0.279298 | ||||||||
\(301\) | −7.39464 | − | 8.53387i | −0.426220 | − | 0.491884i | ||||
\(302\) | 8.88283 | + | 5.70865i | 0.511150 | + | 0.328496i | ||||
\(303\) | 1.34335 | − | 9.34319i | 0.0771733 | − | 0.536752i | ||||
\(304\) | −30.6281 | + | 67.0662i | −1.75664 | + | 3.84651i | ||||
\(305\) | −0.194951 | − | 1.35592i | −0.0111629 | − | 0.0776396i | ||||
\(306\) | −16.2875 | − | 4.78243i | −0.931092 | − | 0.273393i | ||||
\(307\) | −7.33231 | + | 4.71219i | −0.418477 | + | 0.268939i | −0.732890 | − | 0.680348i | \(-0.761829\pi\) |
0.314413 | + | 0.949286i | \(0.398192\pi\) | |||||||
\(308\) | −30.6602 | − | 67.1364i | −1.74702 | − | 3.82545i | ||||
\(309\) | 14.1445 | − | 4.15321i | 0.804654 | − | 0.236268i | ||||
\(310\) | −5.89804 | + | 6.80670i | −0.334986 | + | 0.386594i | ||||
\(311\) | 16.4972 | − | 19.0387i | 0.935468 | − | 1.07959i | −0.0612088 | − | 0.998125i | \(-0.519496\pi\) |
0.996676 | − | 0.0814622i | \(-0.0259590\pi\) | |||||||
\(312\) | −31.5299 | + | 9.25800i | −1.78503 | + | 0.524131i | ||||
\(313\) | −2.92536 | − | 6.40564i | −0.165351 | − | 0.362068i | 0.808760 | − | 0.588139i | \(-0.200139\pi\) |
−0.974111 | + | 0.226071i | \(0.927412\pi\) | |||||||
\(314\) | 20.2641 | − | 13.0229i | 1.14357 | − | 0.734926i | ||||
\(315\) | 3.22191 | + | 0.946039i | 0.181534 | + | 0.0533033i | ||||
\(316\) | −3.26997 | − | 22.7431i | −0.183950 | − | 1.27940i | ||||
\(317\) | 3.66526 | − | 8.02580i | 0.205861 | − | 0.450774i | −0.778336 | − | 0.627848i | \(-0.783936\pi\) |
0.984197 | + | 0.177074i | \(0.0566633\pi\) | |||||||
\(318\) | −4.23140 | + | 29.4300i | −0.237285 | + | 1.65035i | ||||
\(319\) | 2.77509 | + | 1.78344i | 0.155375 | + | 0.0998537i | ||||
\(320\) | 5.40335 | + | 6.23580i | 0.302056 | + | 0.348592i | ||||
\(321\) | −10.8785 | −0.607179 | ||||||||
\(322\) | 18.0814 | − | 38.0307i | 1.00764 | − | 2.11937i | ||||
\(323\) | −49.2056 | −2.73787 | ||||||||
\(324\) | −3.16795 | − | 3.65601i | −0.175997 | − | 0.203111i | ||||
\(325\) | 3.72568 | + | 2.39435i | 0.206664 | + | 0.132815i | ||||
\(326\) | 5.91090 | − | 41.1112i | 0.327374 | − | 2.27694i | ||||
\(327\) | −2.93528 | + | 6.42736i | −0.162321 | + | 0.355434i | ||||
\(328\) | −0.507320 | − | 3.52849i | −0.0280121 | − | 0.194828i | ||||
\(329\) | −34.8695 | − | 10.2386i | −1.92242 | − | 0.564474i | ||||
\(330\) | 9.99470 | − | 6.42320i | 0.550190 | − | 0.353586i | ||||
\(331\) | −8.72090 | − | 19.0961i | −0.479344 | − | 1.04962i | −0.982643 | − | 0.185504i | \(-0.940608\pi\) |
0.503300 | − | 0.864112i | \(-0.332119\pi\) | |||||||
\(332\) | −0.602170 | + | 0.176813i | −0.0330484 | + | 0.00970388i | ||||
\(333\) | −2.54711 | + | 2.93952i | −0.139581 | + | 0.161085i | ||||
\(334\) | −2.23057 | + | 2.57421i | −0.122051 | + | 0.140855i | ||||
\(335\) | −8.32896 | + | 2.44560i | −0.455060 | + | 0.133618i | ||||
\(336\) | 13.5687 | + | 29.7112i | 0.740232 | + | 1.62088i | ||||
\(337\) | −4.82059 | + | 3.09801i | −0.262594 | + | 0.168759i | −0.665313 | − | 0.746565i | \(-0.731702\pi\) |
0.402718 | + | 0.915324i | \(0.368065\pi\) | |||||||
\(338\) | −16.5934 | − | 4.87225i | −0.902560 | − | 0.265015i | ||||
\(339\) | −0.736382 | − | 5.12165i | −0.0399948 | − | 0.278170i | ||||
\(340\) | −13.0458 | + | 28.5664i | −0.707509 | + | 1.54923i | ||||
\(341\) | −2.22714 | + | 15.4901i | −0.120607 | + | 0.838837i | ||||
\(342\) | −16.6737 | − | 10.7156i | −0.901613 | − | 0.579431i | ||||
\(343\) | 5.99065 | + | 6.91358i | 0.323465 | + | 0.373298i | ||||
\(344\) | 24.9515 | 1.34530 | ||||||||
\(345\) | 4.58020 | + | 1.42189i | 0.246590 | + | 0.0765518i | ||||
\(346\) | −33.4133 | −1.79631 | ||||||||
\(347\) | −6.48284 | − | 7.48160i | −0.348017 | − | 0.401633i | 0.554572 | − | 0.832135i | \(-0.312882\pi\) |
−0.902589 | + | 0.430502i | \(0.858336\pi\) | |||||||
\(348\) | −2.95471 | − | 1.89888i | −0.158389 | − | 0.101791i | ||||
\(349\) | −0.493785 | + | 3.43435i | −0.0264317 | + | 0.183837i | −0.998760 | − | 0.0497816i | \(-0.984147\pi\) |
0.972328 | + | 0.233618i | \(0.0750566\pi\) | |||||||
\(350\) | 3.64759 | − | 7.98710i | 0.194972 | − | 0.426929i | ||||
\(351\) | −0.630274 | − | 4.38365i | −0.0336415 | − | 0.233982i | ||||
\(352\) | 46.1897 | + | 13.5625i | 2.46192 | + | 0.722884i | ||||
\(353\) | −4.17004 | + | 2.67992i | −0.221949 | + | 0.142638i | −0.646891 | − | 0.762583i | \(-0.723931\pi\) |
0.424942 | + | 0.905221i | \(0.360295\pi\) | |||||||
\(354\) | 6.60209 | + | 14.4566i | 0.350897 | + | 0.768358i | ||||
\(355\) | 5.01089 | − | 1.47133i | 0.265950 | − | 0.0780900i | ||||
\(356\) | 7.08998 | − | 8.18228i | 0.375768 | − | 0.433660i | ||||
\(357\) | −14.2752 | + | 16.4744i | −0.755522 | + | 0.871918i | ||||
\(358\) | −0.278902 | + | 0.0818930i | −0.0147404 | + | 0.00432818i | ||||
\(359\) | −4.04165 | − | 8.84999i | −0.213310 | − | 0.467084i | 0.772486 | − | 0.635032i | \(-0.219013\pi\) |
−0.985796 | + | 0.167948i | \(0.946286\pi\) | |||||||
\(360\) | −6.24206 | + | 4.01153i | −0.328985 | + | 0.211426i | ||||
\(361\) | −36.8950 | − | 10.8333i | −1.94184 | − | 0.570176i | ||||
\(362\) | −1.68527 | − | 11.7213i | −0.0885756 | − | 0.616057i | ||||
\(363\) | 4.00604 | − | 8.77199i | 0.210262 | − | 0.460410i | ||||
\(364\) | −10.2384 | + | 71.2093i | −0.536636 | + | 3.73238i | ||||
\(365\) | 4.08580 | + | 2.62578i | 0.213861 | + | 0.137440i | ||||
\(366\) | 2.34572 | + | 2.70711i | 0.122613 | + | 0.141503i | ||||
\(367\) | 22.2404 | 1.16094 | 0.580470 | − | 0.814282i | \(-0.302869\pi\) | ||||
0.580470 | + | 0.814282i | \(0.302869\pi\) | |||||||
\(368\) | 18.7227 | + | 42.7275i | 0.975990 | + | 2.22732i | ||||
\(369\) | 0.480431 | 0.0250102 | ||||||||
\(370\) | 6.66037 | + | 7.68648i | 0.346256 | + | 0.399601i | ||||
\(371\) | 32.1204 | + | 20.6425i | 1.66761 | + | 1.07171i | ||||
\(372\) | 2.37130 | − | 16.4927i | 0.122946 | − | 0.855109i | ||||
\(373\) | 3.71722 | − | 8.13958i | 0.192470 | − | 0.421452i | −0.788652 | − | 0.614840i | \(-0.789221\pi\) |
0.981122 | + | 0.193389i | \(0.0619478\pi\) | |||||||
\(374\) | 10.9762 | + | 76.3413i | 0.567567 | + | 3.94752i | ||||
\(375\) | 0.959493 | + | 0.281733i | 0.0495480 | + | 0.0145486i | ||||
\(376\) | 67.5555 | − | 43.4153i | 3.48391 | − | 2.23897i | ||||
\(377\) | −1.33574 | − | 2.92486i | −0.0687940 | − | 0.150638i | ||||
\(378\) | −8.42491 | + | 2.47378i | −0.433331 | + | 0.127237i | ||||
\(379\) | −6.10544 | + | 7.04606i | −0.313615 | + | 0.361932i | −0.890571 | − | 0.454844i | \(-0.849695\pi\) |
0.576956 | + | 0.816775i | \(0.304241\pi\) | |||||||
\(380\) | −24.0122 | + | 27.7116i | −1.23180 | + | 1.42158i | ||||
\(381\) | −7.88941 | + | 2.31654i | −0.404187 | + | 0.118680i | ||||
\(382\) | −12.5057 | − | 27.3836i | −0.639845 | − | 1.40107i | ||||
\(383\) | 29.2354 | − | 18.7884i | 1.49386 | − | 0.960044i | 0.498189 | − | 0.867068i | \(-0.333998\pi\) |
0.995668 | − | 0.0929757i | \(-0.0296379\pi\) | |||||||
\(384\) | −0.369601 | − | 0.108525i | −0.0188611 | − | 0.00553813i | ||||
\(385\) | −2.17127 | − | 15.1015i | −0.110658 | − | 0.769644i | ||||
\(386\) | 4.74064 | − | 10.3805i | 0.241292 | − | 0.528356i | ||||
\(387\) | −0.478571 | + | 3.32854i | −0.0243271 | + | 0.169199i | ||||
\(388\) | 28.7393 | + | 18.4696i | 1.45901 | + | 0.937652i | ||||
\(389\) | −23.0115 | − | 26.5567i | −1.16673 | − | 1.34648i | −0.926741 | − | 0.375701i | \(-0.877402\pi\) |
−0.239988 | − | 0.970776i | \(-0.577143\pi\) | |||||||
\(390\) | −11.5806 | −0.586406 | ||||||||
\(391\) | −20.7481 | + | 23.2120i | −1.04927 | + | 1.17388i | ||||
\(392\) | 31.7256 | 1.60238 | ||||||||
\(393\) | 10.6669 | + | 12.3103i | 0.538074 | + | 0.620970i | ||||
\(394\) | −12.7407 | − | 8.18794i | −0.641866 | − | 0.412502i | ||||
\(395\) | 0.675950 | − | 4.70134i | 0.0340107 | − | 0.236550i | ||||
\(396\) | −9.13066 | + | 19.9934i | −0.458833 | + | 1.00470i | ||||
\(397\) | 4.07797 | + | 28.3629i | 0.204668 | + | 1.42349i | 0.790202 | + | 0.612847i | \(0.209976\pi\) |
−0.585534 | + | 0.810648i | \(0.699115\pi\) | |||||||
\(398\) | −35.2959 | − | 10.3638i | −1.76923 | − | 0.519491i | ||||
\(399\) | −21.4118 | + | 13.7605i | −1.07193 | + | 0.688889i | ||||
\(400\) | 4.04078 | + | 8.84808i | 0.202039 | + | 0.442404i | ||||
\(401\) | −20.3676 | + | 5.98046i | −1.01711 | + | 0.298650i | −0.747458 | − | 0.664309i | \(-0.768726\pi\) |
−0.269649 | + | 0.962959i | \(0.586908\pi\) | |||||||
\(402\) | 14.8645 | − | 17.1545i | 0.741373 | − | 0.855590i | ||||
\(403\) | 9.98930 | − | 11.5283i | 0.497603 | − | 0.574264i | ||||
\(404\) | 43.8136 | − | 12.8648i | 2.17981 | − | 0.640050i | ||||
\(405\) | −0.415415 | − | 0.909632i | −0.0206421 | − | 0.0452000i | ||||
\(406\) | −5.36303 | + | 3.44661i | −0.266163 | + | 0.171052i | ||||
\(407\) | 16.9563 | + | 4.97882i | 0.840493 | + | 0.246791i | ||||
\(408\) | −6.85506 | − | 47.6780i | −0.339376 | − | 2.36041i | ||||
\(409\) | 11.4827 | − | 25.1435i | 0.567781 | − | 1.24327i | −0.380189 | − | 0.924909i | \(-0.624141\pi\) |
0.947970 | − | 0.318358i | \(-0.103132\pi\) | |||||||
\(410\) | 0.178786 | − | 1.24348i | 0.00882959 | − | 0.0614112i | ||||
\(411\) | −0.636679 | − | 0.409169i | −0.0314051 | − | 0.0201828i | ||||
\(412\) | 46.7008 | + | 53.8956i | 2.30078 | + | 2.65525i | ||||
\(413\) | 20.4089 | 1.00426 | ||||||||
\(414\) | −12.0856 | + | 3.34724i | −0.593972 | + | 0.164508i | ||||
\(415\) | −0.129732 | −0.00636831 | ||||||||
\(416\) | −30.7284 | − | 35.4625i | −1.50658 | − | 1.73869i | ||||
\(417\) | −15.5679 | − | 10.0049i | −0.762362 | − | 0.489940i | ||||
\(418\) | −12.8159 | + | 89.1362i | −0.626844 | + | 4.35980i | ||||
\(419\) | 0.351352 | − | 0.769353i | 0.0171646 | − | 0.0375853i | −0.900856 | − | 0.434119i | \(-0.857060\pi\) |
0.918020 | + | 0.396534i | \(0.129787\pi\) | |||||||
\(420\) | 2.31180 | + | 16.0790i | 0.112805 | + | 0.784573i | ||||
\(421\) | 11.3957 | + | 3.34609i | 0.555394 | + | 0.163079i | 0.547372 | − | 0.836889i | \(-0.315628\pi\) |
0.00802228 | + | 0.999968i | \(0.497446\pi\) | |||||||
\(422\) | −44.8383 | + | 28.8158i | −2.18270 | + | 1.40273i | ||||
\(423\) | 4.49588 | + | 9.84460i | 0.218597 | + | 0.478661i | ||||
\(424\) | −80.9515 | + | 23.7695i | −3.93135 | + | 1.15435i | ||||
\(425\) | −4.25118 | + | 4.90612i | −0.206212 | + | 0.237982i | ||||
\(426\) | −8.94279 | + | 10.3205i | −0.433280 | + | 0.500031i | ||||
\(427\) | 4.41357 | − | 1.29594i | 0.213588 | − | 0.0627150i | ||||
\(428\) | −21.8615 | − | 47.8701i | −1.05672 | − | 2.31389i | ||||
\(429\) | −16.9277 | + | 10.8788i | −0.817276 | + | 0.525231i | ||||
\(430\) | 8.43703 | + | 2.47734i | 0.406870 | + | 0.119468i | ||||
\(431\) | −1.09964 | − | 7.64818i | −0.0529679 | − | 0.368400i | −0.999015 | − | 0.0443710i | \(-0.985872\pi\) |
0.946047 | − | 0.324029i | \(-0.105037\pi\) | |||||||
\(432\) | 4.04078 | − | 8.84808i | 0.194412 | − | 0.425703i | ||||
\(433\) | 5.56534 | − | 38.7078i | 0.267453 | − | 1.86018i | −0.204920 | − | 0.978779i | \(-0.565694\pi\) |
0.472374 | − | 0.881398i | \(-0.343397\pi\) | |||||||
\(434\) | −25.4424 | − | 16.3508i | −1.22127 | − | 0.784864i | ||||
\(435\) | −0.475454 | − | 0.548703i | −0.0227963 | − | 0.0263083i | ||||
\(436\) | −34.1819 | −1.63701 | ||||||||
\(437\) | −30.8798 | + | 19.1794i | −1.47718 | + | 0.917474i | ||||
\(438\) | −12.6999 | −0.606827 | ||||||||
\(439\) | 18.9321 | + | 21.8488i | 0.903581 | + | 1.04279i | 0.998879 | + | 0.0473388i | \(0.0150740\pi\) |
−0.0952984 | + | 0.995449i | \(0.530381\pi\) | |||||||
\(440\) | 28.3608 | + | 18.2264i | 1.35205 | + | 0.868910i | ||||
\(441\) | −0.608497 | + | 4.23219i | −0.0289761 | + | 0.201533i | ||||
\(442\) | 31.2301 | − | 68.3843i | 1.48546 | − | 3.25271i | ||||
\(443\) | −1.29179 | − | 8.98459i | −0.0613747 | − | 0.426871i | −0.997223 | − | 0.0744685i | \(-0.976274\pi\) |
0.935849 | − | 0.352402i | \(-0.114635\pi\) | |||||||
\(444\) | −18.0538 | − | 5.30108i | −0.856796 | − | 0.251578i | ||||
\(445\) | 1.88276 | − | 1.20997i | 0.0892512 | − | 0.0573583i | ||||
\(446\) | −1.63162 | − | 3.57274i | −0.0772592 | − | 0.169174i | ||||
\(447\) | 18.7502 | − | 5.50556i | 0.886856 | − | 0.260404i | ||||
\(448\) | −18.1441 | + | 20.9394i | −0.857227 | + | 0.989293i | ||||
\(449\) | −7.38292 | + | 8.52034i | −0.348421 | + | 0.402100i | −0.902727 | − | 0.430213i | \(-0.858438\pi\) |
0.554306 | + | 0.832313i | \(0.312984\pi\) | |||||||
\(450\) | −2.50896 | + | 0.736696i | −0.118273 | + | 0.0347282i | ||||
\(451\) | −0.906785 | − | 1.98558i | −0.0426988 | − | 0.0934974i | ||||
\(452\) | 21.0576 | − | 13.5329i | 0.990466 | − | 0.636534i | ||||
\(453\) | −3.87449 | − | 1.13765i | −0.182040 | − | 0.0534516i | ||||
\(454\) | −5.58516 | − | 38.8456i | −0.262125 | − | 1.82312i | ||||
\(455\) | −6.17779 | + | 13.5275i | −0.289619 | + | 0.634178i | ||||
\(456\) | 8.00398 | − | 55.6689i | 0.374821 | − | 2.60694i | ||||
\(457\) | −11.0119 | − | 7.07692i | −0.515115 | − | 0.331044i | 0.257122 | − | 0.966379i | \(-0.417226\pi\) |
−0.772237 | + | 0.635335i | \(0.780862\pi\) | |||||||
\(458\) | −2.25085 | − | 2.59762i | −0.105175 | − | 0.121379i | ||||
\(459\) | 6.49172 | 0.303008 | ||||||||
\(460\) | 2.94749 | + | 23.0123i | 0.137428 | + | 1.07295i | ||||
\(461\) | 0.794029 | 0.0369816 | 0.0184908 | − | 0.999829i | \(-0.494114\pi\) | ||||
0.0184908 | + | 0.999829i | \(0.494114\pi\) | |||||||
\(462\) | 26.1254 | + | 30.1504i | 1.21547 | + | 1.40272i | ||||
\(463\) | −35.1181 | − | 22.5691i | −1.63208 | − | 1.04887i | −0.947412 | − | 0.320017i | \(-0.896311\pi\) |
−0.684667 | − | 0.728856i | \(-0.740052\pi\) | |||||||
\(464\) | 1.00506 | − | 6.99036i | 0.0466588 | − | 0.324519i | ||||
\(465\) | 1.43083 | − | 3.13309i | 0.0663533 | − | 0.145294i | ||||
\(466\) | 6.20105 | + | 43.1292i | 0.287258 | + | 1.99792i | ||||
\(467\) | 36.9722 | + | 10.8560i | 1.71087 | + | 0.502357i | 0.983039 | − | 0.183398i | \(-0.0587097\pi\) |
0.727832 | + | 0.685755i | \(0.240528\pi\) | |||||||
\(468\) | 18.0233 | − | 11.5829i | 0.833129 | − | 0.535419i | ||||
\(469\) | −12.1089 | − | 26.5147i | −0.559135 | − | 1.22434i | ||||
\(470\) | 27.1535 | − | 7.97299i | 1.25250 | − | 0.367766i | ||||
\(471\) | −6.03250 | + | 6.96188i | −0.277963 | + | 0.320786i | ||||
\(472\) | −29.5323 | + | 34.0821i | −1.35934 | + | 1.56876i | ||||
\(473\) | 14.6598 | − | 4.30452i | 0.674060 | − | 0.197922i | ||||
\(474\) | 5.15939 | + | 11.2975i | 0.236979 | + | 0.518911i | ||||
\(475\) | −6.37649 | + | 4.09792i | −0.292573 | + | 0.188026i | ||||
\(476\) | −101.182 | − | 29.7097i | −4.63767 | − | 1.36174i | ||||
\(477\) | −1.61820 | − | 11.2548i | −0.0740923 | − | 0.515323i | ||||
\(478\) | 29.9066 | − | 65.4863i | 1.36789 | − | 2.99527i | ||||
\(479\) | 0.364903 | − | 2.53796i | 0.0166729 | − | 0.115962i | −0.979785 | − | 0.200052i | \(-0.935889\pi\) |
0.996458 | + | 0.0840893i | \(0.0267981\pi\) | |||||||
\(480\) | −8.91330 | − | 5.72823i | −0.406835 | − | 0.261457i | ||||
\(481\) | −11.2804 | − | 13.0183i | −0.514344 | − | 0.593585i | ||||
\(482\) | 23.0334 | 1.04914 | ||||||||
\(483\) | −2.53720 | + | 15.9030i | −0.115447 | + | 0.723609i | ||||
\(484\) | 46.6511 | 2.12050 | ||||||||
\(485\) | 4.62454 | + | 5.33700i | 0.209990 | + | 0.242341i | ||||
\(486\) | 2.19978 | + | 1.41371i | 0.0997839 | + | 0.0641272i | ||||
\(487\) | 2.55695 | − | 17.7840i | 0.115866 | − | 0.805869i | −0.846163 | − | 0.532924i | \(-0.821093\pi\) |
0.962030 | − | 0.272945i | \(-0.0879977\pi\) | |||||||
\(488\) | −4.22240 | + | 9.24577i | −0.191139 | + | 0.418536i | ||||
\(489\) | 2.26049 | + | 15.7220i | 0.102223 | + | 0.710974i | ||||
\(490\) | 10.7276 | + | 3.14990i | 0.484623 | + | 0.142298i | ||||
\(491\) | −12.5103 | + | 8.03986i | −0.564580 | + | 0.362834i | −0.791584 | − | 0.611060i | \(-0.790743\pi\) |
0.227004 | + | 0.973894i | \(0.427107\pi\) | |||||||
\(492\) | 0.965477 | + | 2.11410i | 0.0435271 | + | 0.0953110i | ||||
\(493\) | 4.52232 | − | 1.32787i | 0.203675 | − | 0.0598044i | ||||
\(494\) | 57.4823 | − | 66.3381i | 2.58625 | − | 2.98469i | ||||
\(495\) | −2.97536 | + | 3.43375i | −0.133733 | + | 0.154336i | ||||
\(496\) | 32.1464 | − | 9.43902i | 1.44341 | − | 0.423825i | ||||
\(497\) | 7.28495 | + | 15.9518i | 0.326775 | + | 0.715537i | ||||
\(498\) | 0.285382 | − | 0.183404i | 0.0127883 | − | 0.00821853i | ||||
\(499\) | 35.3172 | + | 10.3701i | 1.58101 | + | 0.464228i | 0.950183 | − | 0.311693i | \(-0.100896\pi\) |
0.630831 | + | 0.775920i | \(0.282714\pi\) | |||||||
\(500\) | 0.688461 | + | 4.78835i | 0.0307889 | + | 0.214142i | ||||
\(501\) | 0.541125 | − | 1.18490i | 0.0241757 | − | 0.0529373i | ||||
\(502\) | 4.36959 | − | 30.3912i | 0.195024 | − | 1.35642i | ||||
\(503\) | −1.60313 | − | 1.03027i | −0.0714802 | − | 0.0459375i | 0.504413 | − | 0.863463i | \(-0.331709\pi\) |
−0.575893 | + | 0.817525i | \(0.695345\pi\) | |||||||
\(504\) | −16.3163 | − | 18.8300i | −0.726786 | − | 0.838756i | ||||
\(505\) | 9.43927 | 0.420042 | ||||||||
\(506\) | 36.6446 | + | 43.6309i | 1.62905 | + | 1.93963i | ||||
\(507\) | 6.61365 | 0.293722 | ||||||||
\(508\) | −26.0484 | − | 30.0614i | −1.15571 | − | 1.33376i | ||||
\(509\) | 1.09149 | + | 0.701457i | 0.0483793 | + | 0.0310915i | 0.564607 | − | 0.825360i | \(-0.309028\pi\) |
−0.516228 | + | 0.856451i | \(0.672664\pi\) | |||||||
\(510\) | 2.41580 | − | 16.8023i | 0.106974 | − | 0.744018i | ||||
\(511\) | −6.77492 | + | 14.8350i | −0.299705 | + | 0.656262i | ||||
\(512\) | 5.87590 | + | 40.8678i | 0.259680 | + | 1.80612i | ||||
\(513\) | 7.27271 | + | 2.13546i | 0.321098 | + | 0.0942829i | ||||
\(514\) | 28.9499 | − | 18.6050i | 1.27693 | − | 0.820631i | ||||
\(515\) | 6.12391 | + | 13.4095i | 0.269852 | + | 0.590893i | ||||
\(516\) | −15.6087 | + | 4.58313i | −0.687135 | + | 0.201761i | ||||
\(517\) | 32.2012 | − | 37.1622i | 1.41621 | − | 1.63439i | ||||
\(518\) | −22.3651 | + | 25.8107i | −0.982665 | + | 1.13406i | ||||
\(519\) | 12.2605 | − | 3.60002i | 0.538178 | − | 0.158023i | ||||
\(520\) | −13.6509 | − | 29.8914i | −0.598633 | − | 1.31082i | ||||
\(521\) | −14.1235 | + | 9.07665i | −0.618763 | + | 0.397655i | −0.812134 | − | 0.583471i | \(-0.801694\pi\) |
0.193371 | + | 0.981126i | \(0.438058\pi\) | |||||||
\(522\) | 1.82160 | + | 0.534870i | 0.0797293 | + | 0.0234106i | ||||
\(523\) | 1.25097 | + | 8.70067i | 0.0547010 | + | 0.380454i | 0.998721 | + | 0.0505649i | \(0.0161022\pi\) |
−0.944020 | + | 0.329889i | \(0.892989\pi\) | |||||||
\(524\) | −32.7341 | + | 71.6777i | −1.43000 | + | 3.13125i | ||||
\(525\) | −0.477884 | + | 3.32375i | −0.0208566 | + | 0.145060i | ||||
\(526\) | 46.9670 | + | 30.1839i | 2.04786 | + | 1.31608i | ||||
\(527\) | 14.6425 | + | 16.8984i | 0.637838 | + | 0.736105i | ||||
\(528\) | −44.1951 | −1.92335 | ||||||||
\(529\) | −3.97321 | + | 22.6542i | −0.172748 | + | 0.984966i | ||||
\(530\) | −29.7326 | −1.29150 | ||||||||
\(531\) | −3.98013 | − | 4.59331i | −0.172723 | − | 0.199333i | ||||
\(532\) | −103.582 | − | 66.5679i | −4.49083 | − | 2.88608i | ||||
\(533\) | −0.302803 | + | 2.10604i | −0.0131159 | + | 0.0912228i | ||||
\(534\) | −2.43109 | + | 5.32334i | −0.105204 | + | 0.230364i | ||||
\(535\) | −1.54817 | − | 10.7678i | −0.0669334 | − | 0.465532i | ||||
\(536\) | 61.8005 | + | 18.1463i | 2.66938 | + | 0.783799i | ||||
\(537\) | 0.0935158 | − | 0.0600990i | 0.00403551 | − | 0.00259346i | ||||
\(538\) | 15.7385 | + | 34.4626i | 0.678537 | + | 1.48579i | ||||
\(539\) | 18.6398 | − | 5.47314i | 0.802873 | − | 0.235745i | ||||
\(540\) | 3.16795 | − | 3.65601i | 0.136327 | − | 0.157329i | ||||
\(541\) | −1.24363 | + | 1.43522i | −0.0534677 | + | 0.0617050i | −0.781853 | − | 0.623462i | \(-0.785725\pi\) |
0.728386 | + | 0.685167i | \(0.240271\pi\) | |||||||
\(542\) | −64.4842 | + | 18.9343i | −2.76983 | + | 0.813297i | ||||
\(543\) | 1.88126 | + | 4.11938i | 0.0807326 | + | 0.176780i | ||||
\(544\) | 57.8627 | − | 37.1861i | 2.48084 | − | 1.59434i | ||||
\(545\) | −6.77967 | − | 1.99069i | −0.290409 | − | 0.0852718i | ||||
\(546\) | −5.53417 | − | 38.4910i | −0.236841 | − | 1.64726i | ||||
\(547\) | 9.17260 | − | 20.0852i | 0.392192 | − | 0.858781i | −0.605811 | − | 0.795609i | \(-0.707151\pi\) |
0.998003 | − | 0.0631718i | \(-0.0201216\pi\) | |||||||
\(548\) | 0.521042 | − | 3.62393i | 0.0222578 | − | 0.154807i | ||||
\(549\) | −1.15240 | − | 0.740602i | −0.0491832 | − | 0.0316081i | ||||
\(550\) | 7.78022 | + | 8.97885i | 0.331750 | + | 0.382859i | ||||
\(551\) | 5.50319 | 0.234444 | ||||||||
\(552\) | −22.8859 | − | 27.2491i | −0.974091 | − | 1.15980i | ||||
\(553\) | 15.9491 | 0.678225 | ||||||||
\(554\) | 6.10238 | + | 7.04252i | 0.259265 | + | 0.299208i | ||||
\(555\) | −3.27209 | − | 2.10284i | −0.138892 | − | 0.0892607i | ||||
\(556\) | 12.7403 | − | 88.6111i | 0.540311 | − | 3.75795i | ||||
\(557\) | 14.1141 | − | 30.9056i | 0.598034 | − | 1.30951i | −0.332429 | − | 0.943128i | \(-0.607868\pi\) |
0.930464 | − | 0.366385i | \(-0.119405\pi\) | |||||||
\(558\) | 1.28177 | + | 8.91488i | 0.0542615 | + | 0.377397i | ||||
\(559\) | −14.2895 | − | 4.19578i | −0.604382 | − | 0.177463i | ||||
\(560\) | −27.4778 | + | 17.6589i | −1.16115 | + | 0.746225i | ||||
\(561\) | −12.2527 | − | 26.8298i | −0.517311 | − | 1.13275i | ||||
\(562\) | −7.51725 | + | 2.20726i | −0.317096 | + | 0.0931077i | ||||
\(563\) | −17.7579 | + | 20.4937i | −0.748407 | + | 0.863708i | −0.994413 | − | 0.105560i | \(-0.966336\pi\) |
0.246006 | + | 0.969268i | \(0.420882\pi\) | |||||||
\(564\) | −34.2855 | + | 39.5676i | −1.44368 | + | 1.66610i | ||||
\(565\) | 4.96472 | − | 1.45777i | 0.208867 | − | 0.0613290i | ||||
\(566\) | −32.5238 | − | 71.2172i | −1.36708 | − | 2.99348i | ||||
\(567\) | 2.82487 | − | 1.81544i | 0.118633 | − | 0.0762411i | ||||
\(568\) | −37.1805 | − | 10.9172i | −1.56006 | − | 0.458075i | ||||
\(569\) | 5.10942 | + | 35.5368i | 0.214198 | + | 1.48978i | 0.758931 | + | 0.651171i | \(0.225722\pi\) |
−0.544733 | + | 0.838609i | \(0.683369\pi\) | |||||||
\(570\) | 8.23358 | − | 18.0290i | 0.344867 | − | 0.755152i | ||||
\(571\) | 5.04869 | − | 35.1144i | 0.211281 | − | 1.46949i | −0.557606 | − | 0.830106i | \(-0.688280\pi\) |
0.768887 | − | 0.639385i | \(-0.220811\pi\) | |||||||
\(572\) | −81.8891 | − | 52.6269i | −3.42396 | − | 2.20044i | ||||
\(573\) | 7.53914 | + | 8.70063i | 0.314952 | + | 0.363474i | ||||
\(574\) | 4.21846 | 0.176075 | ||||||||
\(575\) | −0.755584 | + | 4.73594i | −0.0315100 | + | 0.197502i | ||||
\(576\) | 8.25114 | 0.343798 | ||||||||
\(577\) | 29.1366 | + | 33.6254i | 1.21297 | + | 1.39984i | 0.891560 | + | 0.452903i | \(0.149612\pi\) |
0.321411 | + | 0.946940i | \(0.395843\pi\) | |||||||
\(578\) | 55.3078 | + | 35.5442i | 2.30050 | + | 1.47844i | ||||
\(579\) | −0.621088 | + | 4.31976i | −0.0258115 | + | 0.179523i | ||||
\(580\) | 1.45905 | − | 3.19488i | 0.0605838 | − | 0.132660i | ||||
\(581\) | −0.0619970 | − | 0.431199i | −0.00257207 | − | 0.0178891i | ||||
\(582\) | −17.7179 | − | 5.20245i | −0.734432 | − | 0.215649i | ||||
\(583\) | −43.4610 | + | 27.9307i | −1.79997 | + | 1.15677i | ||||
\(584\) | −14.9704 | − | 32.7806i | −0.619480 | − | 1.35647i | ||||
\(585\) | 4.24933 | − | 1.24772i | 0.175688 | − | 0.0515868i | ||||
\(586\) | −15.0732 | + | 17.3954i | −0.622670 | + | 0.718599i | ||||
\(587\) | 29.7011 | − | 34.2769i | 1.22590 | − | 1.41476i | 0.346922 | − | 0.937894i | \(-0.387227\pi\) |
0.878975 | − | 0.476867i | \(-0.158228\pi\) | |||||||
\(588\) | −19.8463 | + | 5.82739i | −0.818447 | + | 0.240318i | ||||
\(589\) | 10.8454 | + | 23.7480i | 0.446875 | + | 0.978520i | ||||
\(590\) | −13.3698 | + | 8.59227i | −0.550428 | + | 0.353738i | ||||
\(591\) | 5.55720 | + | 1.63174i | 0.228593 | + | 0.0671209i | ||||
\(592\) | −5.38433 | − | 37.4488i | −0.221294 | − | 1.53914i | ||||
\(593\) | 1.53648 | − | 3.36443i | 0.0630958 | − | 0.138161i | −0.875457 | − | 0.483296i | \(-0.839440\pi\) |
0.938553 | + | 0.345135i | \(0.112167\pi\) | |||||||
\(594\) | 1.69080 | − | 11.7598i | 0.0693745 | − | 0.482510i | ||||
\(595\) | −18.3383 | − | 11.7853i | −0.751797 | − | 0.483150i | ||||
\(596\) | 61.9074 | + | 71.4450i | 2.53583 | + | 2.92650i | ||||
\(597\) | 14.0680 | 0.575764 | ||||||||
\(598\) | −7.05593 | − | 55.0885i | −0.288539 | − | 2.25274i | ||||
\(599\) | −15.2093 | −0.621433 | −0.310717 | − | 0.950503i | \(-0.600569\pi\) | ||||
−0.310717 | + | 0.950503i | \(0.600569\pi\) | |||||||
\(600\) | −4.85904 | − | 5.60763i | −0.198369 | − | 0.228930i | ||||
\(601\) | 15.5364 | + | 9.98462i | 0.633742 | + | 0.407281i | 0.817693 | − | 0.575654i | \(-0.195253\pi\) |
−0.183952 | + | 0.982935i | \(0.558889\pi\) | |||||||
\(602\) | −4.20213 | + | 29.2265i | −0.171266 | + | 1.19118i | ||||
\(603\) | −3.60605 | + | 7.89614i | −0.146850 | + | 0.321556i | ||||
\(604\) | −2.78005 | − | 19.3357i | −0.113119 | − | 0.786757i | ||||
\(605\) | 9.25283 | + | 2.71687i | 0.376181 | + | 0.110457i | ||||
\(606\) | −20.7643 | + | 13.3444i | −0.843491 | + | 0.542079i | ||||
\(607\) | 13.4419 | + | 29.4338i | 0.545592 | + | 1.19468i | 0.958810 | + | 0.284047i | \(0.0916773\pi\) |
−0.413218 | + | 0.910632i | \(0.635595\pi\) | |||||||
\(608\) | 77.0563 | − | 22.6258i | 3.12505 | − | 0.917597i | ||||
\(609\) | 1.59654 | − | 1.84251i | 0.0646952 | − | 0.0746622i | ||||
\(610\) | −2.34572 | + | 2.70711i | −0.0949756 | + | 0.109608i | ||||
\(611\) | −45.9890 | + | 13.5036i | −1.86051 | + | 0.546296i | ||||
\(612\) | 13.0458 | + | 28.5664i | 0.527346 | + | 1.15473i | ||||
\(613\) | 26.3364 | − | 16.9254i | 1.06372 | − | 0.683609i | 0.112976 | − | 0.993598i | \(-0.463962\pi\) |
0.950740 | + | 0.309989i | \(0.100325\pi\) | |||||||
\(614\) | 21.8679 | + | 6.42099i | 0.882516 | + | 0.259130i | ||||
\(615\) | 0.0683724 | + | 0.475541i | 0.00275704 | + | 0.0191757i | ||||
\(616\) | −47.0269 | + | 102.975i | −1.89477 | + | 4.14896i | ||||
\(617\) | −2.12999 | + | 14.8144i | −0.0857503 | + | 0.596407i | 0.900958 | + | 0.433906i | \(0.142865\pi\) |
−0.986708 | + | 0.162501i | \(0.948044\pi\) | |||||||
\(618\) | −32.4284 | − | 20.8404i | −1.30446 | − | 0.838326i | ||||
\(619\) | −10.4119 | − | 12.0159i | −0.418488 | − | 0.482961i | 0.506887 | − | 0.862012i | \(-0.330796\pi\) |
−0.925376 | + | 0.379051i | \(0.876251\pi\) | |||||||
\(620\) | 16.6623 | 0.669176 | ||||||||
\(621\) | 4.07398 | − | 2.53035i | 0.163483 | − | 0.101539i | ||||
\(622\) | −65.8736 | −2.64129 | ||||||||
\(623\) | 4.92140 | + | 5.67959i | 0.197172 | + | 0.227548i | ||||
\(624\) | 36.2401 | + | 23.2901i | 1.45076 | + | 0.932350i | ||||
\(625\) | −0.142315 | + | 0.989821i | −0.00569259 | + | 0.0395929i | ||||
\(626\) | −7.64946 | + | 16.7500i | −0.305734 | + | 0.669464i | ||||
\(627\) | −4.90113 | − | 34.0881i | −0.195732 | − | 1.36135i | ||||
\(628\) | −42.7582 | − | 12.5549i | −1.70624 | − | 0.500996i | ||||
\(629\) | 21.2415 | − | 13.6511i | 0.846954 | − | 0.544304i | ||||
\(630\) | −3.64759 | − | 7.98710i | −0.145323 | − | 0.318214i | ||||
\(631\) | 9.95478 | − | 2.92299i | 0.396294 | − | 0.116362i | −0.0775127 | − | 0.996991i | \(-0.524698\pi\) |
0.473806 | + | 0.880629i | \(0.342880\pi\) | |||||||
\(632\) | −23.0789 | + | 26.6344i | −0.918028 | + | 1.05946i | ||||
\(633\) | 13.3481 | − | 15.4045i | 0.530540 | − | 0.612276i | ||||
\(634\) | −22.1368 | + | 6.49996i | −0.879166 | + | 0.258147i | ||||
\(635\) | −3.41574 | − | 7.47943i | −0.135550 | − | 0.296812i | ||||
\(636\) | 46.2741 | − | 29.7386i | 1.83489 | − | 1.17921i | ||||
\(637\) | −18.1689 | − | 5.33488i | −0.719879 | − | 0.211376i | ||||
\(638\) | −1.22759 | − | 8.53806i | −0.0486007 | − | 0.338025i | ||||
\(639\) | 2.16948 | − | 4.75049i | 0.0858231 | − | 0.187926i | ||||
\(640\) | 0.0548203 | − | 0.381284i | 0.00216696 | − | 0.0150716i | ||||
\(641\) | −23.6870 | − | 15.2227i | −0.935581 | − | 0.601261i | −0.0184423 | − | 0.999830i | \(-0.505871\pi\) |
−0.917138 | + | 0.398569i | \(0.869507\pi\) | |||||||
\(642\) | 18.6282 | + | 21.4980i | 0.735195 | + | 0.848460i | ||||
\(643\) | −4.58049 | −0.180637 | −0.0903184 | − | 0.995913i | \(-0.528788\pi\) | ||||
−0.0903184 | + | 0.995913i | \(0.528788\pi\) | |||||||
\(644\) | −75.0786 | + | 20.7939i | −2.95851 | + | 0.819396i | ||||
\(645\) | −3.36276 | −0.132409 | ||||||||
\(646\) | 84.2588 | + | 97.2398i | 3.31512 | + | 3.82585i | ||||
\(647\) | −28.8202 | − | 18.5216i | −1.13304 | − | 0.728159i | −0.166846 | − | 0.985983i | \(-0.553358\pi\) |
−0.966192 | + | 0.257823i | \(0.916995\pi\) | |||||||
\(648\) | −1.05597 | + | 7.34443i | −0.0414824 | + | 0.288516i | ||||
\(649\) | −11.4715 | + | 25.1191i | −0.450297 | + | 0.986012i | ||||
\(650\) | −1.64809 | − | 11.4627i | −0.0646434 | − | 0.449605i | ||||
\(651\) | 11.0974 | + | 3.25849i | 0.434941 | + | 0.127710i | ||||
\(652\) | −64.6409 | + | 41.5422i | −2.53153 | + | 1.62692i | ||||
\(653\) | −11.3567 | − | 24.8677i | −0.444422 | − | 0.973148i | −0.990765 | − | 0.135587i | \(-0.956708\pi\) |
0.546344 | − | 0.837561i | \(-0.316019\pi\) | |||||||
\(654\) | 17.7280 | − | 5.20541i | 0.693220 | − | 0.203548i | ||||
\(655\) | −10.6669 | + | 12.3103i | −0.416790 | + | 0.481002i | ||||
\(656\) | −3.06029 | + | 3.53177i | −0.119484 | + | 0.137892i | ||||
\(657\) | 4.66006 | − | 1.36832i | 0.181806 | − | 0.0533832i | ||||
\(658\) | 39.4765 | + | 86.4414i | 1.53895 | + | 3.36984i | ||||
\(659\) | 20.2184 | − | 12.9936i | 0.787598 | − | 0.506158i | −0.0839493 | − | 0.996470i | \(-0.526753\pi\) |
0.871547 | + | 0.490312i | \(0.163117\pi\) | |||||||
\(660\) | −21.0893 | − | 6.19237i | −0.820900 | − | 0.241038i | ||||
\(661\) | −0.806668 | − | 5.61050i | −0.0313757 | − | 0.218223i | 0.968101 | − | 0.250559i | \(-0.0806144\pi\) |
−0.999477 | + | 0.0323360i | \(0.989705\pi\) | |||||||
\(662\) | −22.8041 | + | 49.9340i | −0.886306 | + | 1.94074i | ||||
\(663\) | −4.09156 | + | 28.4575i | −0.158903 | + | 1.10520i | ||||
\(664\) | 0.809798 | + | 0.520425i | 0.0314262 | + | 0.0201964i | ||||
\(665\) | −16.6677 | − | 19.2356i | −0.646346 | − | 0.745923i | ||||
\(666\) | 10.1707 | 0.394106 | ||||||||
\(667\) | 2.32048 | − | 2.59604i | 0.0898492 | − | 0.100519i | ||||
\(668\) | 6.30150 | 0.243812 | ||||||||
\(669\) | 0.983633 | + | 1.13517i | 0.0380294 | + | 0.0438883i | ||||
\(670\) | 19.0953 | + | 12.2718i | 0.737718 | + | 0.474102i | ||||
\(671\) | −0.885763 | + | 6.16062i | −0.0341945 | + | 0.237828i | ||||
\(672\) | 14.7797 | − | 32.3631i | 0.570140 | − | 1.24843i | ||||
\(673\) | 7.20771 | + | 50.1307i | 0.277837 | + | 1.93240i | 0.353875 | + | 0.935293i | \(0.384864\pi\) |
−0.0760377 | + | 0.997105i | \(0.524227\pi\) | |||||||
\(674\) | 14.3770 | + | 4.22145i | 0.553780 | + | 0.162604i | ||||
\(675\) | 0.841254 | − | 0.540641i | 0.0323799 | − | 0.0208093i | ||||
\(676\) | 13.2908 | + | 29.1029i | 0.511186 | + | 1.11934i | ||||
\(677\) | −13.8716 | + | 4.07306i | −0.533128 | + | 0.156541i | −0.537206 | − | 0.843451i | \(-0.680520\pi\) |
0.00407769 | + | 0.999992i | \(0.498702\pi\) | |||||||
\(678\) | −8.86040 | + | 10.2254i | −0.340282 | + | 0.392706i | ||||
\(679\) | −15.5289 | + | 17.9213i | −0.595944 | + | 0.687756i | ||||
\(680\) | 46.2171 | − | 13.5706i | 1.77235 | − | 0.520408i | ||||
\(681\) | 6.23471 | + | 13.6521i | 0.238914 | + | 0.523150i | ||||
\(682\) | 34.4252 | − | 22.1237i | 1.31821 | − | 0.847162i | ||||
\(683\) | 8.33337 | + | 2.44690i | 0.318867 | + | 0.0936279i | 0.437250 | − | 0.899340i | \(-0.355953\pi\) |
−0.118382 | + | 0.992968i | \(0.537771\pi\) | |||||||
\(684\) | 5.21836 | + | 36.2945i | 0.199529 | + | 1.38775i | ||||
\(685\) | 0.314395 | − | 0.688429i | 0.0120124 | − | 0.0263035i | ||||
\(686\) | 3.40429 | − | 23.6774i | 0.129977 | − | 0.904006i | ||||
\(687\) | 1.10579 | + | 0.710648i | 0.0421885 | + | 0.0271129i | ||||
\(688\) | −21.4204 | − | 24.7205i | −0.816647 | − | 0.942460i | ||||
\(689\) | 50.3572 | 1.91845 | ||||||||
\(690\) | −5.03312 | − | 11.4862i | −0.191608 | − | 0.437271i | ||||
\(691\) | 44.7625 | 1.70284 | 0.851422 | − | 0.524481i | \(-0.175741\pi\) | ||||
0.851422 | + | 0.524481i | \(0.175741\pi\) | |||||||
\(692\) | 40.4805 | + | 46.7170i | 1.53884 | + | 1.77591i | ||||
\(693\) | −12.8348 | − | 8.24844i | −0.487555 | − | 0.313332i | ||||
\(694\) | −3.68399 | + | 25.6227i | −0.139842 | + | 0.972624i | ||||
\(695\) | 7.68749 | − | 16.8332i | 0.291603 | − | 0.638521i | ||||
\(696\) | 0.766674 | + | 5.33234i | 0.0290607 | + | 0.202122i | ||||
\(697\) | −2.99249 | − | 0.878674i | −0.113349 | − | 0.0332822i | ||||
\(698\) | 7.63249 | − | 4.90510i | 0.288894 | − | 0.185661i | ||||
\(699\) | −6.92222 | − | 15.1576i | −0.261822 | − | 0.573311i | ||||
\(700\) | −15.5863 | + | 4.57655i | −0.589106 | + | 0.172977i | ||||
\(701\) | 9.51336 | − | 10.9790i | 0.359315 | − | 0.414671i | −0.547095 | − | 0.837070i | \(-0.684266\pi\) |
0.906410 | + | 0.422399i | \(0.138812\pi\) | |||||||
\(702\) | −7.58367 | + | 8.75203i | −0.286227 | + | 0.330324i | ||||
\(703\) | 28.2875 | − | 8.30596i | 1.06688 | − | 0.313265i | ||||
\(704\) | −15.5735 | − | 34.1013i | −0.586950 | − | 1.28524i | ||||
\(705\) | −9.10457 | + | 5.85115i | −0.342898 | + | 0.220367i | ||||
\(706\) | 12.4368 | + | 3.65176i | 0.468063 | + | 0.137436i | ||||
\(707\) | 4.51087 | + | 31.3738i | 0.169649 | + | 1.17993i | ||||
\(708\) | 12.2140 | − | 26.7450i | 0.459031 | − | 1.00514i | ||||
\(709\) | −0.430639 | + | 2.99516i | −0.0161730 | + | 0.112486i | −0.996309 | − | 0.0858422i | \(-0.972642\pi\) |
0.980136 | + | 0.198328i | \(0.0635510\pi\) | |||||||
\(710\) | −11.4882 | − | 7.38300i | −0.431144 | − | 0.277079i | ||||
\(711\) | −3.11038 | − | 3.58957i | −0.116648 | − | 0.134619i | ||||
\(712\) | −16.6061 | −0.622341 | ||||||||
\(713\) | 15.7758 | + | 4.89747i | 0.590808 | + | 0.183412i | ||||
\(714\) | 57.0011 | 2.13321 | ||||||||
\(715\) | −13.1771 | − | 15.2072i | −0.492795 | − | 0.568716i | ||||
\(716\) | 0.452391 | + | 0.290734i | 0.0169067 | + | 0.0108652i | ||||
\(717\) | −3.91817 | + | 27.2515i | −0.146327 | + | 1.01772i | ||||
\(718\) | −10.5684 | + | 23.1416i | −0.394410 | + | 0.863638i | ||||
\(719\) | −4.54982 | − | 31.6447i | −0.169680 | − | 1.18015i | −0.879547 | − | 0.475813i | \(-0.842154\pi\) |
0.709867 | − | 0.704336i | \(-0.248755\pi\) | |||||||
\(720\) | 9.33308 | + | 2.74044i | 0.347823 | + | 0.102130i | ||||
\(721\) | −41.6433 | + | 26.7625i | −1.55088 | + | 0.996689i | ||||
\(722\) | 41.7695 | + | 91.4624i | 1.55450 | + | 3.40388i | ||||
\(723\) | −8.45177 | + | 2.48166i | −0.314325 | + | 0.0922941i | ||||
\(724\) | −14.3465 | + | 16.5567i | −0.533182 | + | 0.615325i | ||||
\(725\) | 0.475454 | − | 0.548703i | 0.0176579 | − | 0.0203783i | ||||
\(726\) | −24.1950 | + | 7.10430i | −0.897961 | + | 0.263665i | ||||
\(727\) | −6.88509 | − | 15.0762i | −0.255354 | − | 0.559147i | 0.737926 | − | 0.674881i | \(-0.235805\pi\) |
−0.993280 | + | 0.115734i | \(0.963078\pi\) | |||||||
\(728\) | 92.8280 | − | 59.6570i | 3.44044 | − | 2.21103i | ||||
\(729\) | −0.959493 | − | 0.281733i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | −1.80739 | − | 12.5707i | −0.0668945 | − | 0.465261i | ||||
\(731\) | 9.06857 | − | 19.8574i | 0.335413 | − | 0.734452i | ||||
\(732\) | 0.943095 | − | 6.55937i | 0.0348578 | − | 0.242441i | ||||
\(733\) | −5.08804 | − | 3.26989i | −0.187931 | − | 0.120776i | 0.443292 | − | 0.896377i | \(-0.353810\pi\) |
−0.631223 | + | 0.775601i | \(0.717447\pi\) | |||||||
\(734\) | −38.0841 | − | 43.9514i | −1.40571 | − | 1.62227i | ||||
\(735\) | −4.27571 | −0.157712 | ||||||||
\(736\) | 21.8182 | − | 45.8905i | 0.804231 | − | 1.69155i | ||||
\(737\) | 39.4403 | 1.45280 | ||||||||
\(738\) | −0.822681 | − | 0.949424i | −0.0302833 | − | 0.0349488i | ||||
\(739\) | −37.5059 | − | 24.1036i | −1.37968 | − | 0.886665i | −0.380406 | − | 0.924820i | \(-0.624216\pi\) |
−0.999272 | + | 0.0381548i | \(0.987852\pi\) | |||||||
\(740\) | 2.67780 | − | 18.6245i | 0.0984377 | − | 0.684649i | ||||
\(741\) | −13.9449 | + | 30.5351i | −0.512280 | + | 1.12174i | ||||
\(742\) | −14.2087 | − | 98.8240i | −0.521619 | − | 3.62794i | ||||
\(743\) | −41.6727 | − | 12.2362i | −1.52882 | − | 0.448903i | −0.594134 | − | 0.804366i | \(-0.702505\pi\) |
−0.934691 | + | 0.355462i | \(0.884323\pi\) | |||||||
\(744\) | −21.4998 | + | 13.8171i | −0.788222 | + | 0.506559i | ||||
\(745\) | 8.11796 | + | 17.7759i | 0.297419 | + | 0.651257i | ||||
\(746\) | −22.4507 | + | 6.59212i | −0.821978 | + | 0.241355i | ||||
\(747\) | −0.0849567 | + | 0.0980452i | −0.00310840 | + | 0.00358729i | ||||
\(748\) | 93.4392 | − | 107.835i | 3.41648 | − | 3.94282i | ||||
\(749\) | 35.0496 | − | 10.2915i | 1.28069 | − | 0.376043i | ||||
\(750\) | −1.08626 | − | 2.37858i | −0.0396646 | − | 0.0868534i | ||||
\(751\) | −17.2615 | + | 11.0933i | −0.629881 | + | 0.404800i | −0.816266 | − | 0.577677i | \(-0.803959\pi\) |
0.186384 | + | 0.982477i | \(0.440323\pi\) | |||||||
\(752\) | −101.008 | − | 29.6587i | −3.68340 | − | 1.08154i | ||||
\(753\) | 1.67105 | + | 11.6224i | 0.0608964 | + | 0.423544i | ||||
\(754\) | −3.49279 | + | 7.64814i | −0.127200 | + | 0.278529i | ||||
\(755\) | 0.574676 | − | 3.99696i | 0.0209146 | − | 0.145464i | ||||
\(756\) | 13.6656 | + | 8.78233i | 0.497012 | + | 0.319410i | ||||
\(757\) | −13.0239 | − | 15.0304i | −0.473363 | − | 0.546290i | 0.467981 | − | 0.883738i | \(-0.344981\pi\) |
−0.941344 | + | 0.337449i | \(0.890436\pi\) | |||||||
\(758\) | 24.3792 | 0.885493 | ||||||||
\(759\) | −18.1471 | − | 12.0616i | −0.658699 | − | 0.437807i | ||||
\(760\) | 56.2414 | 2.04009 | ||||||||
\(761\) | −10.8312 | − | 12.4999i | −0.392631 | − | 0.453120i | 0.524676 | − | 0.851302i | \(-0.324187\pi\) |
−0.917306 | + | 0.398182i | \(0.869641\pi\) | |||||||
\(762\) | 18.0876 | + | 11.6242i | 0.655245 | + | 0.421100i | ||||
\(763\) | 3.37667 | − | 23.4853i | 0.122244 | − | 0.850224i | ||||
\(764\) | −23.1358 | + | 50.6603i | −0.837023 | + | 1.83282i | ||||
\(765\) | 0.923869 | + | 6.42565i | 0.0334025 | + | 0.232320i | ||||
\(766\) | −87.1917 | − | 25.6018i | −3.15036 | − | 0.925030i | ||||
\(767\) | 22.6440 | − | 14.5524i | 0.817629 | − | 0.525458i | ||||
\(768\) | −6.43686 | − | 14.0948i | −0.232270 | − | 0.508601i | ||||
\(769\) | 19.3738 | − | 5.68867i | 0.698638 | − | 0.205139i | 0.0869209 | − | 0.996215i | \(-0.472297\pi\) |
0.611717 | + | 0.791077i | \(0.290479\pi\) | |||||||
\(770\) | −26.1254 | + | 30.1504i | −0.941495 | + | 1.08654i | ||||
\(771\) | −8.61823 | + | 9.94597i | −0.310378 | + | 0.358195i | ||||
\(772\) | −20.2569 | + | 5.94797i | −0.729063 | + | 0.214072i | ||||
\(773\) | 21.1971 | + | 46.4152i | 0.762407 | + | 1.66944i | 0.742693 | + | 0.669632i | \(0.233548\pi\) |
0.0197132 | + | 0.999806i | \(0.493725\pi\) | |||||||
\(774\) | 7.39733 | − | 4.75397i | 0.265891 | − | 0.170878i | ||||
\(775\) | 3.30483 | + | 0.970385i | 0.118713 | + | 0.0348573i | ||||
\(776\) | −7.45712 | − | 51.8654i | −0.267695 | − | 1.86186i | ||||
\(777\) | 5.42566 | − | 11.8805i | 0.194644 | − | 0.426212i | ||||
\(778\) | −13.0767 | + | 90.9503i | −0.468822 | + | 3.26073i | ||||
\(779\) | −3.06346 | − | 1.96877i | −0.109760 | − | 0.0705384i | ||||
\(780\) | 14.0300 | + | 16.1915i | 0.502354 | + | 0.579747i | ||||
\(781\) | −23.7281 | −0.849060 | ||||||||
\(782\) | 81.3999 | + | 1.25445i | 2.91086 | + | 0.0448590i | ||||
\(783\) | −0.726038 | −0.0259465 | ||||||||
\(784\) | −27.2358 | − | 31.4318i | −0.972708 | − | 1.12256i | ||||
\(785\) | −7.74953 | − | 4.98032i | −0.276592 | − | 0.177755i | ||||
\(786\) | 6.06165 | − | 42.1597i | 0.216212 | − | 1.50379i | ||||
\(787\) | −7.95983 | + | 17.4296i | −0.283737 | + | 0.621298i | −0.996812 | − | 0.0797906i | \(-0.974575\pi\) |
0.713074 | + | 0.701088i | \(0.247302\pi\) | |||||||
\(788\) | 3.98743 | + | 27.7332i | 0.142046 | + | 0.987955i | ||||
\(789\) | −20.4860 | − | 6.01522i | −0.729319 | − | 0.214147i | ||||
\(790\) | −10.4482 | + | 6.71467i | −0.371731 | + | 0.238897i | ||||
\(791\) | 7.21784 | + | 15.8049i | 0.256637 | + | 0.561956i | ||||
\(792\) | 32.3470 | − | 9.49794i | 1.14940 | − | 0.337495i | ||||
\(793\) | 3.97287 | − | 4.58494i | 0.141081 | − | 0.162816i | ||||
\(794\) | 49.0676 | − | 56.6270i | 1.74134 | − | 2.00962i | ||||
\(795\) | 10.9100 | − | 3.20346i | 0.386937 | − | 0.113615i | ||||
\(796\) | 28.2711 | + | 61.9051i | 1.00204 | + | 2.19417i | ||||
\(797\) | 20.9816 | − | 13.4841i | 0.743207 | − | 0.477630i | −0.113433 | − | 0.993546i | \(-0.536185\pi\) |
0.856639 | + | 0.515916i | \(0.172548\pi\) | |||||||
\(798\) | 63.8587 | + | 18.7506i | 2.26057 | + | 0.663764i | ||||
\(799\) | −9.99868 | − | 69.5424i | −0.353728 | − | 2.46023i | ||||
\(800\) | 4.40143 | − | 9.63779i | 0.155614 | − | 0.340747i | ||||
\(801\) | 0.318506 | − | 2.21526i | 0.0112539 | − | 0.0782723i | ||||
\(802\) | 46.6956 | + | 30.0094i | 1.64888 | + | 1.05967i | ||||
\(803\) | −14.4507 | − | 16.6771i | −0.509956 | − | 0.588520i | ||||
\(804\) | −41.9931 | −1.48098 | ||||||||
\(805\) | −16.1022 | − | 0.248150i | −0.567527 | − | 0.00874612i | ||||
\(806\) | −39.8876 | −1.40498 | ||||||||
\(807\) | −9.48811 | − | 10.9499i | −0.333997 | − | 0.385454i | ||||
\(808\) | −58.9205 | − | 37.8659i | −2.07282 | − | 1.33212i | ||||
\(809\) | −4.53881 | + | 31.5681i | −0.159576 | + | 1.10988i | 0.739840 | + | 0.672783i | \(0.234901\pi\) |
−0.899416 | + | 0.437094i | \(0.856008\pi\) | |||||||
\(810\) | −1.08626 | + | 2.37858i | −0.0381673 | + | 0.0835747i | ||||
\(811\) | −5.13286 | − | 35.6998i | −0.180239 | − | 1.25359i | −0.856197 | − | 0.516650i | \(-0.827179\pi\) |
0.675957 | − | 0.736941i | \(-0.263730\pi\) | |||||||
\(812\) | 11.3162 | + | 3.32275i | 0.397122 | + | 0.116606i | ||||
\(813\) | 21.6216 | − | 13.8953i | 0.758301 | − | 0.487331i | ||||
\(814\) | −19.1965 | − | 42.0346i | −0.672838 | − | 1.47331i | ||||
\(815\) | −15.2403 | + | 4.47495i | −0.533844 | + | 0.156751i | ||||
\(816\) | −41.3516 | + | 47.7223i | −1.44759 | + | 1.67061i | ||||
\(817\) | 16.6917 | − | 19.2632i | 0.583968 | − | 0.673935i | ||||
\(818\) | −69.3511 | + | 20.3633i | −2.42481 | + | 0.711987i | ||||
\(819\) | 6.17779 | + | 13.5275i | 0.215870 | + | 0.472688i | ||||
\(820\) | −1.95518 | + | 1.25652i | −0.0682778 | + | 0.0438795i | ||||
\(821\) | 23.0051 | + | 6.75490i | 0.802883 | + | 0.235748i | 0.657330 | − | 0.753603i | \(-0.271686\pi\) |
0.145553 | + | 0.989350i | \(0.453504\pi\) | |||||||
\(822\) | 0.281641 | + | 1.95885i | 0.00982335 | + | 0.0683229i | ||||
\(823\) | −20.8794 | + | 45.7196i | −0.727812 | + | 1.59369i | 0.0748107 | + | 0.997198i | \(0.476165\pi\) |
−0.802622 | + | 0.596488i | \(0.796563\pi\) | |||||||
\(824\) | 15.5667 | − | 108.269i | 0.542293 | − | 3.77173i | ||||
\(825\) | −3.82224 | − | 2.45641i | −0.133073 | − | 0.0855211i | ||||
\(826\) | −34.9478 | − | 40.3319i | −1.21599 | − | 1.40333i | ||||
\(827\) | 22.6627 | 0.788061 | 0.394030 | − | 0.919097i | \(-0.371080\pi\) | ||||
0.394030 | + | 0.919097i | \(0.371080\pi\) | |||||||
\(828\) | 19.3217 | + | 12.8423i | 0.671476 | + | 0.446300i | ||||
\(829\) | 0.357249 | 0.0124078 | 0.00620388 | − | 0.999981i | \(-0.498025\pi\) | ||||
0.00620388 | + | 0.999981i | \(0.498025\pi\) | |||||||
\(830\) | 0.222151 | + | 0.256376i | 0.00771099 | + | 0.00889895i | ||||
\(831\) | −2.99796 | − | 1.92667i | −0.103998 | − | 0.0668355i | ||||
\(832\) | −5.20048 | + | 36.1701i | −0.180294 | + | 1.25397i | ||||
\(833\) | 11.5306 | − | 25.2484i | 0.399510 | − | 0.874806i | ||||
\(834\) | 6.88658 | + | 47.8972i | 0.238463 | + | 1.65855i | ||||
\(835\) | 1.24985 | + | 0.366988i | 0.0432527 | + | 0.0127002i | ||||
\(836\) | 140.153 | − | 90.0707i | 4.84729 | − | 3.11516i | ||||
\(837\) | −1.43083 | − | 3.13309i | −0.0494568 | − | 0.108295i | ||||
\(838\) | −2.12204 | + | 0.623086i | −0.0733046 | + | 0.0215242i | ||||
\(839\) | 2.46412 | − | 2.84375i | 0.0850709 | − | 0.0981771i | −0.711618 | − | 0.702566i | \(-0.752037\pi\) |
0.796689 | + | 0.604389i | \(0.206583\pi\) | |||||||
\(840\) | 16.3163 | − | 18.8300i | 0.562966 | − | 0.649698i | ||||
\(841\) | 27.3195 | − | 8.02173i | 0.942052 | − | 0.276612i | ||||
\(842\) | −12.9013 | − | 28.2500i | −0.444609 | − | 0.973558i | ||||
\(843\) | 2.52053 | − | 1.61985i | 0.0868118 | − | 0.0557905i | ||||
\(844\) | 94.6110 | + | 27.7803i | 3.25665 | + | 0.956238i | ||||
\(845\) | 0.941220 | + | 6.54633i | 0.0323790 | + | 0.225201i | ||||
\(846\) | 11.7562 | − | 25.7424i | 0.404186 | − | 0.885043i | ||||
\(847\) | −4.60845 | + | 32.0525i | −0.158348 | + | 1.10134i | ||||
\(848\) | 93.0448 | + | 59.7963i | 3.19517 | + | 2.05341i | ||||
\(849\) | 19.6072 | + | 22.6280i | 0.672919 | + | 0.776590i | ||||
\(850\) | 16.9751 | 0.582240 | ||||||||
\(851\) | 8.00951 | − | 16.8465i | 0.274563 | − | 0.577490i | ||||
\(852\) | 25.2640 | 0.865530 | ||||||||
\(853\) | −30.1104 | − | 34.7493i | −1.03096 | − | 1.18979i | −0.981588 | − | 0.191012i | \(-0.938823\pi\) |
−0.0493728 | − | 0.998780i | \(-0.515722\pi\) | |||||||
\(854\) | −10.1187 | − | 6.50292i | −0.346256 | − | 0.222525i | ||||
\(855\) | −1.07871 | + | 7.50260i | −0.0368911 | + | 0.256583i | ||||
\(856\) | −33.5315 | + | 73.4237i | −1.14608 | + | 2.50957i | ||||
\(857\) | −6.34036 | − | 44.0982i | −0.216583 | − | 1.50636i | −0.750524 | − | 0.660843i | \(-0.770199\pi\) |
0.533942 | − | 0.845521i | \(-0.320710\pi\) | |||||||
\(858\) | 50.4852 | + | 14.8238i | 1.72353 | + | 0.506075i | ||||
\(859\) | 10.1776 | − | 6.54075i | 0.347255 | − | 0.223167i | −0.355373 | − | 0.934725i | \(-0.615646\pi\) |
0.702628 | + | 0.711557i | \(0.252010\pi\) | |||||||
\(860\) | −6.75783 | − | 14.7976i | −0.230440 | − | 0.504594i | ||||
\(861\) | −1.54791 | + | 0.454506i | −0.0527525 | + | 0.0154895i | ||||
\(862\) | −13.2313 | + | 15.2697i | −0.450659 | + | 0.520088i | ||||
\(863\) | −16.1653 | + | 18.6557i | −0.550273 | + | 0.635049i | −0.960947 | − | 0.276733i | \(-0.910748\pi\) |
0.410674 | + | 0.911782i | \(0.365294\pi\) | |||||||
\(864\) | −10.1661 | + | 2.98503i | −0.345857 | + | 0.101553i | ||||
\(865\) | 5.30823 | + | 11.6234i | 0.180485 | + | 0.395208i | ||||
\(866\) | −86.0240 | + | 55.2843i | −2.92322 | + | 1.87864i | ||||
\(867\) | −24.1240 | − | 7.08346i | −0.819295 | − | 0.240567i | ||||
\(868\) | 7.96266 | + | 55.3815i | 0.270270 | + | 1.87977i | ||||
\(869\) | −8.96474 | + | 19.6300i | −0.304108 | + | 0.665904i | ||||
\(870\) | −0.270185 | + | 1.87918i | −0.00916013 | + | 0.0637101i | ||||
\(871\) | −32.3411 | − | 20.7844i | −1.09584 | − | 0.704252i | ||||
\(872\) | 34.3334 | + | 39.6229i | 1.16268 | + | 1.34180i | ||||
\(873\) | 7.06187 | 0.239008 | ||||||||
\(874\) | 90.7801 | + | 28.1820i | 3.07068 | + | 0.953270i | ||||
\(875\) | −3.35793 | −0.113519 | ||||||||
\(876\) | 15.3861 | + | 17.7565i | 0.519848 | + | 0.599936i | ||||
\(877\) | 20.8903 | + | 13.4254i | 0.705416 | + | 0.453343i | 0.843536 | − | 0.537072i | \(-0.180470\pi\) |
−0.138120 | + | 0.990415i | \(0.544106\pi\) | |||||||
\(878\) | 10.7585 | − | 74.8270i | 0.363082 | − | 2.52529i | ||||
\(879\) | 3.65669 | − | 8.00704i | 0.123337 | − | 0.270071i | ||||
\(880\) | −6.28962 | − | 43.7453i | −0.212023 | − | 1.47465i | ||||
\(881\) | 37.6745 | + | 11.0622i | 1.26928 | + | 0.372696i | 0.845942 | − | 0.533274i | \(-0.179039\pi\) |
0.423342 | + | 0.905970i | \(0.360857\pi\) | |||||||
\(882\) | 9.40560 | − | 6.04462i | 0.316703 | − | 0.203533i | ||||
\(883\) | 5.02867 | + | 11.0113i | 0.169228 | + | 0.370558i | 0.975177 | − | 0.221427i | \(-0.0710716\pi\) |
−0.805949 | + | 0.591985i | \(0.798344\pi\) | |||||||
\(884\) | −133.447 | + | 39.1837i | −4.48832 | + | 1.31789i | ||||
\(885\) | 3.98013 | − | 4.59331i | 0.133790 | − | 0.154402i | ||||
\(886\) | −15.5433 | + | 17.9379i | −0.522186 | + | 0.602634i | ||||
\(887\) | −18.9571 | + | 5.56632i | −0.636518 | + | 0.186899i | −0.584042 | − | 0.811724i | \(-0.698530\pi\) |
−0.0524763 | + | 0.998622i | \(0.516711\pi\) | |||||||
\(888\) | 11.9890 | + | 26.2522i | 0.402323 | + | 0.880965i | ||||
\(889\) | 23.2274 | − | 14.9274i | 0.779024 | − | 0.500648i | ||||
\(890\) | −5.61514 | − | 1.64875i | −0.188220 | − | 0.0552664i | ||||
\(891\) | 0.646608 | + | 4.49726i | 0.0216622 | + | 0.150664i | ||||
\(892\) | −3.01853 | + | 6.60966i | −0.101068 | + | 0.221308i | ||||
\(893\) | 11.6745 | − | 81.1978i | 0.390672 | − | 2.71718i | ||||
\(894\) | −42.9876 | − | 27.6265i | −1.43772 | − | 0.923967i | ||||
\(895\) | 0.0727959 | + | 0.0840110i | 0.00243330 | + | 0.00280818i | ||||
\(896\) | 1.29349 | 0.0432125 | ||||||||
\(897\) | 8.52443 | + | 19.4537i | 0.284622 | + | 0.649541i | ||||
\(898\) | 29.4802 | 0.983767 | ||||||||
\(899\) | −1.63763 | − | 1.88992i | −0.0546180 | − | 0.0630325i | ||||
\(900\) | 4.06964 | + | 2.61540i | 0.135655 | + | 0.0871799i | ||||
\(901\) | −10.5049 | + | 73.0632i | −0.349969 | + | 2.43409i | ||||
\(902\) | −2.37113 | + | 5.19205i | −0.0789501 | + | 0.172877i | ||||
\(903\) | −1.60701 | − | 11.1770i | −0.0534779 | − | 0.371947i | ||||
\(904\) | −36.8380 | − | 10.8166i | −1.22521 | − | 0.359755i | ||||
\(905\) | −3.80972 | + | 2.44836i | −0.126639 | + | 0.0813863i | ||||
\(906\) | 4.38639 | + | 9.60485i | 0.145728 | + | 0.319100i | ||||
\(907\) | 18.3791 | − | 5.39660i | 0.610269 | − | 0.179191i | 0.0380278 | − | 0.999277i | \(-0.487892\pi\) |
0.572241 | + | 0.820086i | \(0.306074\pi\) | |||||||
\(908\) | −47.5458 | + | 54.8707i | −1.57786 | + | 1.82095i | ||||
\(909\) | 6.18141 | − | 7.13372i | 0.205024 | − | 0.236611i | ||||
\(910\) | 37.3116 | − | 10.9557i | 1.23687 | − | 0.363178i | ||||
\(911\) | 7.36503 | + | 16.1272i | 0.244014 | + | 0.534317i | 0.991522 | − | 0.129936i | \(-0.0414771\pi\) |
−0.747508 | + | 0.664253i | \(0.768750\pi\) | |||||||
\(912\) | −62.0247 | + | 39.8609i | −2.05384 | + | 1.31993i | ||||
\(913\) | 0.565564 | + | 0.166064i | 0.0187174 | + | 0.00549593i | ||||
\(914\) | 4.87121 | + | 33.8800i | 0.161125 | + | 1.12065i | ||||
\(915\) | 0.569061 | − | 1.24607i | 0.0188126 | − | 0.0411938i | ||||
\(916\) | −0.904950 | + | 6.29407i | −0.0299004 | + | 0.207962i | ||||
\(917\) | −46.0138 | − | 29.5713i | −1.51951 | − | 0.976530i | ||||
\(918\) | −11.1163 | − | 12.8289i | −0.366893 | − | 0.423417i | ||||
\(919\) | 9.04286 | 0.298296 | 0.149148 | − | 0.988815i | \(-0.452347\pi\) | ||||
0.149148 | + | 0.988815i | \(0.452347\pi\) | |||||||
\(920\) | 23.7147 | − | 26.5310i | 0.781852 | − | 0.874700i | ||||
\(921\) | −8.71593 | −0.287200 | ||||||||
\(922\) | −1.35968 | − | 1.56916i | −0.0447787 | − | 0.0516774i | ||||
\(923\) | 19.4571 | + | 12.5043i | 0.640439 | + | 0.411585i | ||||
\(924\) | 10.5037 | − | 73.0548i | 0.345546 | − | 2.40333i | ||||
\(925\) | 1.61577 | − | 3.53805i | 0.0531263 | − | 0.116330i | ||||
\(926\) | 15.5348 | + | 108.047i | 0.510506 | + | 3.55065i | ||||
\(927\) | 14.1445 | + | 4.15321i | 0.464567 | + | 0.136409i | ||||
\(928\) | −6.47140 | + | 4.15892i | −0.212434 | + | 0.136523i | ||||
\(929\) | 0.713917 | + | 1.56326i | 0.0234229 | + | 0.0512889i | 0.920982 | − | 0.389605i | \(-0.127389\pi\) |
−0.897559 | + | 0.440894i | \(0.854661\pi\) | |||||||
\(930\) | −8.64172 | + | 2.53744i | −0.283373 | + | 0.0832059i | ||||
\(931\) | 21.2233 | − | 24.4929i | 0.695564 | − | 0.802724i | ||||
\(932\) | 52.7887 | − | 60.9215i | 1.72915 | − | 1.99555i | ||||
\(933\) | 24.1714 | − | 7.09736i | 0.791336 | − | 0.232357i | ||||
\(934\) | −41.8570 | − | 91.6539i | −1.36960 | − | 2.99901i | ||||
\(935\) | 24.8129 | − | 15.9463i | 0.811470 | − | 0.521500i | ||||
\(936\) | −31.5299 | − | 9.25800i | −1.03059 | − | 0.302607i | ||||
\(937\) | 6.23427 | + | 43.3603i | 0.203665 | + | 1.41652i | 0.793291 | + | 0.608843i | \(0.208366\pi\) |
−0.589626 | + | 0.807676i | \(0.700725\pi\) | |||||||
\(938\) | −31.6632 | + | 69.3327i | −1.03384 | + | 2.26379i | ||||
\(939\) | 1.00218 | − | 6.97034i | 0.0327050 | − | 0.227468i | ||||
\(940\) | −44.0442 | − | 28.3055i | −1.43656 | − | 0.923223i | ||||
\(941\) | −27.9470 | − | 32.2526i | −0.911048 | − | 1.05141i | −0.998473 | − | 0.0552340i | \(-0.982410\pi\) |
0.0874258 | − | 0.996171i | \(-0.472136\pi\) | |||||||
\(942\) | 24.0879 | 0.784828 | ||||||||
\(943\) | −2.22047 | + | 0.614988i | −0.0723086 | + | 0.0200268i | ||||
\(944\) | 59.1195 | 1.92418 | ||||||||
\(945\) | 2.19898 | + | 2.53776i | 0.0715328 | + | 0.0825532i | ||||
\(946\) | −33.6098 | − | 21.5997i | −1.09275 | − | 0.702267i | ||||
\(947\) | −0.866591 | + | 6.02727i | −0.0281604 | + | 0.195860i | −0.999045 | − | 0.0436866i | \(-0.986090\pi\) |
0.970885 | + | 0.239547i | \(0.0769988\pi\) | |||||||
\(948\) | 9.54499 | − | 20.9006i | 0.310007 | − | 0.678821i | ||||
\(949\) | 3.06111 | + | 21.2905i | 0.0993680 | + | 0.691119i | ||||
\(950\) | 19.0173 | + | 5.58397i | 0.617002 | + | 0.181168i | ||||
\(951\) | 7.42248 | − | 4.77014i | 0.240691 | − | 0.154682i | ||||
\(952\) | 67.1917 | + | 147.129i | 2.17769 | + | 4.76848i | ||||
\(953\) | −48.0173 | + | 14.0991i | −1.55543 | + | 0.456716i | −0.942719 | − | 0.333589i | \(-0.891740\pi\) |
−0.612714 | + | 0.790305i | \(0.709922\pi\) | |||||||
\(954\) | −19.4707 | + | 22.4704i | −0.630389 | + | 0.727507i | ||||
\(955\) | −7.53914 | + | 8.70063i | −0.243961 | + | 0.281546i | ||||
\(956\) | −127.792 | + | 37.5231i | −4.13309 | + | 1.21358i | ||||
\(957\) | 1.37035 | + | 3.00066i | 0.0442973 | + | 0.0969975i | ||||
\(958\) | −5.64035 | + | 3.62483i | −0.182231 | + | 0.117113i | ||||
\(959\) | 2.43841 | + | 0.715983i | 0.0787405 | + | 0.0231203i | ||||
\(960\) | 1.17426 | + | 8.16716i | 0.0378991 | + | 0.263594i | ||||
\(961\) | −7.94958 | + | 17.4071i | −0.256438 | + | 0.561521i | ||||
\(962\) | −6.41031 | + | 44.5847i | −0.206677 | + | 1.43747i | ||||
\(963\) | −9.15159 | − | 5.88137i | −0.294906 | − | 0.189524i | ||||
\(964\) | −27.9051 | − | 32.2042i | −0.898763 | − | 1.03723i | ||||
\(965\) | −4.36418 | −0.140488 | ||||||||
\(966\) | 35.7720 | − | 22.2179i | 1.15094 | − | 0.714850i | ||||
\(967\) | −38.7437 | −1.24591 | −0.622956 | − | 0.782257i | \(-0.714068\pi\) | ||||
−0.622956 | + | 0.782257i | \(0.714068\pi\) | |||||||
\(968\) | −46.8579 | − | 54.0769i | −1.50607 | − | 1.73810i | ||||
\(969\) | −41.3944 | − | 26.6026i | −1.32978 | − | 0.854598i | ||||
\(970\) | 2.62798 | − | 18.2780i | 0.0843792 | − | 0.586870i | ||||
\(971\) | −10.6638 | + | 23.3505i | −0.342218 | + | 0.749354i | −0.999993 | − | 0.00386144i | \(-0.998771\pi\) |
0.657774 | + | 0.753215i | \(0.271498\pi\) | |||||||
\(972\) | −0.688461 | − | 4.78835i | −0.0220824 | − | 0.153586i | ||||
\(973\) | 59.6233 | + | 17.5070i | 1.91143 | + | 0.561248i | ||||
\(974\) | −39.5230 | + | 25.3999i | −1.26640 | + | 0.813866i | ||||
\(975\) | 1.83976 | + | 4.02851i | 0.0589195 | + | 0.129016i | ||||
\(976\) | 12.7850 | − | 3.75402i | 0.409238 | − | 0.120163i | ||||
\(977\) | 32.4951 | − | 37.5014i | 1.03961 | − | 1.19977i | 0.0601397 | − | 0.998190i | \(-0.480845\pi\) |
0.979471 | − | 0.201585i | \(-0.0646092\pi\) | |||||||
\(978\) | 27.1989 | − | 31.3893i | 0.869726 | − | 1.00372i | ||||
\(979\) | −9.75664 | + | 2.86481i | −0.311824 | + | 0.0915597i | ||||
\(980\) | −8.59250 | − | 18.8149i | −0.274477 | − | 0.601022i | ||||
\(981\) | −5.94420 | + | 3.82011i | −0.189784 | + | 0.121967i | ||||
\(982\) | 37.3107 | + | 10.9554i | 1.19063 | + | 0.349601i | ||||
\(983\) | 1.48433 | + | 10.3237i | 0.0473427 | + | 0.329276i | 0.999705 | + | 0.0243054i | \(0.00773742\pi\) |
−0.952362 | + | 0.304970i | \(0.901353\pi\) | |||||||
\(984\) | 1.48086 | − | 3.24263i | 0.0472081 | − | 0.103371i | ||||
\(985\) | −0.824260 | + | 5.73286i | −0.0262631 | + | 0.182664i | ||||
\(986\) | −10.3681 | − | 6.66316i | −0.330187 | − | 0.212198i | ||||
\(987\) | −23.7987 | − | 27.4652i | −0.757521 | − | 0.874226i | ||||
\(988\) | −162.391 | −5.16636 | ||||||||
\(989\) | −2.04890 | − | 15.9966i | −0.0651511 | − | 0.508661i | ||||
\(990\) | 11.8807 | 0.377594 | ||||||||
\(991\) | 9.78359 | + | 11.2909i | 0.310786 | + | 0.358666i | 0.889557 | − | 0.456824i | \(-0.151013\pi\) |
−0.578771 | + | 0.815490i | \(0.696468\pi\) | |||||||
\(992\) | −30.7005 | − | 19.7300i | −0.974742 | − | 0.626429i | ||||
\(993\) | 2.98765 | − | 20.7795i | 0.0948101 | − | 0.659418i | ||||
\(994\) | 19.0493 | − | 41.7121i | 0.604206 | − | 1.32303i | ||||
\(995\) | 2.00208 | + | 13.9248i | 0.0634702 | + | 0.441445i | ||||
\(996\) | −0.602170 | − | 0.176813i | −0.0190805 | − | 0.00560254i | ||||
\(997\) | −26.6800 | + | 17.1462i | −0.844964 | + | 0.543025i | −0.890000 | − | 0.455960i | \(-0.849296\pi\) |
0.0450363 | + | 0.998985i | \(0.485660\pi\) | |||||||
\(998\) | −39.9832 | − | 87.5511i | −1.26565 | − | 2.77138i | ||||
\(999\) | −3.73199 | + | 1.09581i | −0.118075 | + | 0.0346699i |
(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 | 345.2.m.c.151.1 | yes | 50 | |
23.4 | even | 11 | 7935.2.a.bv.1.23 | 25 | |||
23.16 | even | 11 | inner | 345.2.m.c.16.1 | ✓ | 50 | |
23.19 | odd | 22 | 7935.2.a.bw.1.23 | 25 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
345.2.m.c.16.1 | ✓ | 50 | 23.16 | even | 11 | inner | |
345.2.m.c.151.1 | yes | 50 | 1.1 | even | 1 | trivial | |
7935.2.a.bv.1.23 | 25 | 23.4 | even | 11 | |||
7935.2.a.bw.1.23 | 25 | 23.19 | odd | 22 |