Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(535,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.535");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.e (of order \(2\), degree \(1\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 535.31 | ||
Character | \(\chi\) | \(=\) | 804.535 |
Dual form | 804.2.e.a.535.32 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.36992 | − | 0.351182i | 0.968677 | − | 0.248323i | ||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | 1.75334 | − | 0.962180i | 0.876671 | − | 0.481090i | ||||
\(5\) | − | 3.58679i | − | 1.60406i | −0.597282 | − | 0.802031i | \(-0.703753\pi\) | ||
0.597282 | − | 0.802031i | \(-0.296247\pi\) | |||||||
\(6\) | −1.36992 | + | 0.351182i | −0.559266 | + | 0.143369i | ||||
\(7\) | 4.07396 | 1.53981 | 0.769905 | − | 0.638158i | \(-0.220303\pi\) | ||||
0.769905 | + | 0.638158i | \(0.220303\pi\) | |||||||
\(8\) | 2.06403 | − | 1.93385i | 0.729746 | − | 0.683719i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | −1.25962 | − | 4.91361i | −0.398326 | − | 1.55382i | ||||
\(11\) | −4.30204 | −1.29712 | −0.648558 | − | 0.761166i | \(-0.724627\pi\) | ||||
−0.648558 | + | 0.761166i | \(0.724627\pi\) | |||||||
\(12\) | −1.75334 | + | 0.962180i | −0.506146 | + | 0.277757i | ||||
\(13\) | − | 0.588657i | − | 0.163264i | −0.996663 | − | 0.0816321i | \(-0.973987\pi\) | ||
0.996663 | − | 0.0816321i | \(-0.0260132\pi\) | |||||||
\(14\) | 5.58098 | − | 1.43070i | 1.49158 | − | 0.382371i | ||||
\(15\) | 3.58679i | 0.926106i | ||||||||
\(16\) | 2.14842 | − | 3.37406i | 0.537105 | − | 0.843516i | ||||
\(17\) | 0.330562 | 0.0801732 | 0.0400866 | − | 0.999196i | \(-0.487237\pi\) | ||||
0.0400866 | + | 0.999196i | \(0.487237\pi\) | |||||||
\(18\) | 1.36992 | − | 0.351182i | 0.322892 | − | 0.0827744i | ||||
\(19\) | 5.25211i | 1.20492i | 0.798150 | + | 0.602458i | \(0.205812\pi\) | ||||
−0.798150 | + | 0.602458i | \(0.794188\pi\) | |||||||
\(20\) | −3.45114 | − | 6.28888i | −0.771699 | − | 1.40624i | ||||
\(21\) | −4.07396 | −0.889010 | ||||||||
\(22\) | −5.89344 | + | 1.51080i | −1.25649 | + | 0.322104i | ||||
\(23\) | − | 0.501468i | − | 0.104563i | −0.998632 | − | 0.0522816i | \(-0.983351\pi\) | ||
0.998632 | − | 0.0522816i | \(-0.0166493\pi\) | |||||||
\(24\) | −2.06403 | + | 1.93385i | −0.421319 | + | 0.394745i | ||||
\(25\) | −7.86509 | −1.57302 | ||||||||
\(26\) | −0.206726 | − | 0.806411i | −0.0405423 | − | 0.158150i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 7.14304 | − | 3.91988i | 1.34991 | − | 0.740788i | ||||
\(29\) | −5.91148 | −1.09773 | −0.548867 | − | 0.835910i | \(-0.684941\pi\) | ||||
−0.548867 | + | 0.835910i | \(0.684941\pi\) | |||||||
\(30\) | 1.25962 | + | 4.91361i | 0.229974 | + | 0.897098i | ||||
\(31\) | 5.74994 | 1.03272 | 0.516359 | − | 0.856372i | \(-0.327287\pi\) | ||||
0.516359 | + | 0.856372i | \(0.327287\pi\) | |||||||
\(32\) | 1.75825 | − | 5.37667i | 0.310817 | − | 0.950470i | ||||
\(33\) | 4.30204 | 0.748890 | ||||||||
\(34\) | 0.452843 | − | 0.116088i | 0.0776619 | − | 0.0199089i | ||||
\(35\) | − | 14.6124i | − | 2.46995i | ||||||
\(36\) | 1.75334 | − | 0.962180i | 0.292224 | − | 0.160363i | ||||
\(37\) | −1.03067 | −0.169440 | −0.0847202 | − | 0.996405i | \(-0.527000\pi\) | ||||
−0.0847202 | + | 0.996405i | \(0.527000\pi\) | |||||||
\(38\) | 1.84445 | + | 7.19495i | 0.299209 | + | 1.16718i | ||||
\(39\) | 0.588657i | 0.0942606i | ||||||||
\(40\) | −6.93632 | − | 7.40326i | −1.09673 | − | 1.17056i | ||||
\(41\) | − | 7.04610i | − | 1.10042i | −0.835028 | − | 0.550208i | \(-0.814549\pi\) | ||
0.835028 | − | 0.550208i | \(-0.185451\pi\) | |||||||
\(42\) | −5.58098 | + | 1.43070i | −0.861164 | + | 0.220762i | ||||
\(43\) | 6.86370 | 1.04671 | 0.523353 | − | 0.852116i | \(-0.324681\pi\) | ||||
0.523353 | + | 0.852116i | \(0.324681\pi\) | |||||||
\(44\) | −7.54296 | + | 4.13934i | −1.13714 | + | 0.624029i | ||||
\(45\) | − | 3.58679i | − | 0.534688i | ||||||
\(46\) | −0.176106 | − | 0.686969i | −0.0259655 | − | 0.101288i | ||||
\(47\) | 10.3763i | 1.51353i | 0.653686 | + | 0.756766i | \(0.273222\pi\) | ||||
−0.653686 | + | 0.756766i | \(0.726778\pi\) | |||||||
\(48\) | −2.14842 | + | 3.37406i | −0.310098 | + | 0.487004i | ||||
\(49\) | 9.59712 | 1.37102 | ||||||||
\(50\) | −10.7745 | + | 2.76208i | −1.52375 | + | 0.390617i | ||||
\(51\) | −0.330562 | −0.0462880 | ||||||||
\(52\) | −0.566394 | − | 1.03212i | −0.0785447 | − | 0.143129i | ||||
\(53\) | 8.47969i | 1.16477i | 0.812911 | + | 0.582387i | \(0.197881\pi\) | ||||
−0.812911 | + | 0.582387i | \(0.802119\pi\) | |||||||
\(54\) | −1.36992 | + | 0.351182i | −0.186422 | + | 0.0477898i | ||||
\(55\) | 15.4305i | 2.08065i | ||||||||
\(56\) | 8.40878 | − | 7.87842i | 1.12367 | − | 1.05280i | ||||
\(57\) | − | 5.25211i | − | 0.695659i | ||||||
\(58\) | −8.09823 | + | 2.07601i | −1.06335 | + | 0.272593i | ||||
\(59\) | − | 8.93686i | − | 1.16348i | −0.813375 | − | 0.581740i | \(-0.802372\pi\) | ||
0.813375 | − | 0.581740i | \(-0.197628\pi\) | |||||||
\(60\) | 3.45114 | + | 6.28888i | 0.445540 | + | 0.811891i | ||||
\(61\) | − | 6.57062i | − | 0.841282i | −0.907227 | − | 0.420641i | \(-0.861805\pi\) | ||
0.907227 | − | 0.420641i | \(-0.138195\pi\) | |||||||
\(62\) | 7.87693 | − | 2.01927i | 1.00037 | − | 0.256448i | ||||
\(63\) | 4.07396 | 0.513270 | ||||||||
\(64\) | 0.520460 | − | 7.98305i | 0.0650574 | − | 0.997882i | ||||
\(65\) | −2.11139 | −0.261886 | ||||||||
\(66\) | 5.89344 | − | 1.51080i | 0.725433 | − | 0.185967i | ||||
\(67\) | 4.33838 | − | 6.94107i | 0.530018 | − | 0.847987i | ||||
\(68\) | 0.579589 | − | 0.318061i | 0.0702855 | − | 0.0385705i | ||||
\(69\) | 0.501468i | 0.0603696i | ||||||||
\(70\) | −5.13163 | − | 20.0178i | −0.613347 | − | 2.39259i | ||||
\(71\) | 0.0930167i | 0.0110391i | 0.999985 | + | 0.00551953i | \(0.00175693\pi\) | ||||
−0.999985 | + | 0.00551953i | \(0.998243\pi\) | |||||||
\(72\) | 2.06403 | − | 1.93385i | 0.243249 | − | 0.227906i | ||||
\(73\) | −6.32174 | −0.739903 | −0.369952 | − | 0.929051i | \(-0.620626\pi\) | ||||
−0.369952 | + | 0.929051i | \(0.620626\pi\) | |||||||
\(74\) | −1.41193 | + | 0.361951i | −0.164133 | + | 0.0420760i | ||||
\(75\) | 7.86509 | 0.908182 | ||||||||
\(76\) | 5.05348 | + | 9.20875i | 0.579673 | + | 1.05632i | ||||
\(77\) | −17.5263 | −1.99731 | ||||||||
\(78\) | 0.206726 | + | 0.806411i | 0.0234071 | + | 0.0913081i | ||||
\(79\) | −1.43384 | −0.161319 | −0.0806596 | − | 0.996742i | \(-0.525703\pi\) | ||||
−0.0806596 | + | 0.996742i | \(0.525703\pi\) | |||||||
\(80\) | −12.1021 | − | 7.70594i | −1.35305 | − | 0.861550i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −2.47446 | − | 9.65256i | −0.273259 | − | 1.06595i | ||||
\(83\) | 12.5742i | 1.38020i | 0.723715 | + | 0.690099i | \(0.242433\pi\) | ||||
−0.723715 | + | 0.690099i | \(0.757567\pi\) | |||||||
\(84\) | −7.14304 | + | 3.91988i | −0.779370 | + | 0.427694i | ||||
\(85\) | − | 1.18566i | − | 0.128603i | ||||||
\(86\) | 9.40270 | − | 2.41041i | 1.01392 | − | 0.259921i | ||||
\(87\) | 5.91148 | 0.633777 | ||||||||
\(88\) | −8.87956 | + | 8.31950i | −0.946564 | + | 0.886862i | ||||
\(89\) | 18.3287 | 1.94284 | 0.971420 | − | 0.237368i | \(-0.0762846\pi\) | ||||
0.971420 | + | 0.237368i | \(0.0762846\pi\) | |||||||
\(90\) | −1.25962 | − | 4.91361i | −0.132775 | − | 0.517940i | ||||
\(91\) | − | 2.39816i | − | 0.251396i | ||||||
\(92\) | −0.482502 | − | 0.879244i | −0.0503043 | − | 0.0916676i | ||||
\(93\) | −5.74994 | −0.596241 | ||||||||
\(94\) | 3.64395 | + | 14.2146i | 0.375845 | + | 1.46612i | ||||
\(95\) | 18.8382 | 1.93276 | ||||||||
\(96\) | −1.75825 | + | 5.37667i | −0.179450 | + | 0.548754i | ||||
\(97\) | 6.83533i | 0.694022i | 0.937861 | + | 0.347011i | \(0.112803\pi\) | ||||
−0.937861 | + | 0.347011i | \(0.887197\pi\) | |||||||
\(98\) | 13.1473 | − | 3.37034i | 1.32807 | − | 0.340455i | ||||
\(99\) | −4.30204 | −0.432372 | ||||||||
\(100\) | −13.7902 | + | 7.56763i | −1.37902 | + | 0.756763i | ||||
\(101\) | 6.18058i | 0.614991i | 0.951550 | + | 0.307495i | \(0.0994908\pi\) | ||||
−0.951550 | + | 0.307495i | \(0.900509\pi\) | |||||||
\(102\) | −0.452843 | + | 0.116088i | −0.0448381 | + | 0.0114944i | ||||
\(103\) | 20.2293i | 1.99325i | 0.0820875 | + | 0.996625i | \(0.473841\pi\) | ||||
−0.0820875 | + | 0.996625i | \(0.526159\pi\) | |||||||
\(104\) | −1.13837 | − | 1.21501i | −0.111627 | − | 0.119141i | ||||
\(105\) | 14.6124i | 1.42603i | ||||||||
\(106\) | 2.97791 | + | 11.6165i | 0.289240 | + | 1.12829i | ||||
\(107\) | 5.29024i | 0.511427i | 0.966753 | + | 0.255713i | \(0.0823103\pi\) | ||||
−0.966753 | + | 0.255713i | \(0.917690\pi\) | |||||||
\(108\) | −1.75334 | + | 0.962180i | −0.168715 | + | 0.0925858i | ||||
\(109\) | 6.13549i | 0.587673i | 0.955856 | + | 0.293837i | \(0.0949322\pi\) | ||||
−0.955856 | + | 0.293837i | \(0.905068\pi\) | |||||||
\(110\) | 5.41893 | + | 21.1386i | 0.516675 | + | 2.01548i | ||||
\(111\) | 1.03067 | 0.0978264 | ||||||||
\(112\) | 8.75257 | − | 13.7458i | 0.827040 | − | 1.29885i | ||||
\(113\) | 4.41158i | 0.415007i | 0.978234 | + | 0.207503i | \(0.0665338\pi\) | ||||
−0.978234 | + | 0.207503i | \(0.933466\pi\) | |||||||
\(114\) | −1.84445 | − | 7.19495i | −0.172748 | − | 0.673869i | ||||
\(115\) | −1.79866 | −0.167726 | ||||||||
\(116\) | −10.3648 | + | 5.68791i | −0.962352 | + | 0.528109i | ||||
\(117\) | − | 0.588657i | − | 0.0544214i | ||||||
\(118\) | −3.13847 | − | 12.2428i | −0.288919 | − | 1.12704i | ||||
\(119\) | 1.34670 | 0.123452 | ||||||||
\(120\) | 6.93632 | + | 7.40326i | 0.633196 | + | 0.675822i | ||||
\(121\) | 7.50759 | 0.682508 | ||||||||
\(122\) | −2.30748 | − | 9.00121i | −0.208910 | − | 0.814931i | ||||
\(123\) | 7.04610i | 0.635325i | ||||||||
\(124\) | 10.0816 | − | 5.53247i | 0.905355 | − | 0.496831i | ||||
\(125\) | 10.2765i | 0.919156i | ||||||||
\(126\) | 5.58098 | − | 1.43070i | 0.497193 | − | 0.127457i | ||||
\(127\) | − | 14.7447i | − | 1.30838i | −0.756330 | − | 0.654190i | \(-0.773010\pi\) | ||
0.756330 | − | 0.654190i | \(-0.226990\pi\) | |||||||
\(128\) | −2.09052 | − | 11.1189i | −0.184777 | − | 0.982780i | ||||
\(129\) | −6.86370 | −0.604315 | ||||||||
\(130\) | −2.89243 | + | 0.741483i | −0.253683 | + | 0.0650323i | ||||
\(131\) | 20.6777i | 1.80662i | 0.428993 | + | 0.903308i | \(0.358868\pi\) | ||||
−0.428993 | + | 0.903308i | \(0.641132\pi\) | |||||||
\(132\) | 7.54296 | − | 4.13934i | 0.656530 | − | 0.360283i | ||||
\(133\) | 21.3969i | 1.85534i | ||||||||
\(134\) | 3.50564 | − | 11.0322i | 0.302841 | − | 0.953041i | ||||
\(135\) | 3.58679i | 0.308702i | ||||||||
\(136\) | 0.682292 | − | 0.639258i | 0.0585060 | − | 0.0548159i | ||||
\(137\) | − | 14.5696i | − | 1.24477i | −0.782712 | − | 0.622384i | \(-0.786164\pi\) | ||
0.782712 | − | 0.622384i | \(-0.213836\pi\) | |||||||
\(138\) | 0.176106 | + | 0.686969i | 0.0149912 | + | 0.0584787i | ||||
\(139\) | −17.9896 | −1.52586 | −0.762930 | − | 0.646481i | \(-0.776240\pi\) | ||||
−0.762930 | + | 0.646481i | \(0.776240\pi\) | |||||||
\(140\) | −14.0598 | − | 25.6206i | −1.18827 | − | 2.16534i | ||||
\(141\) | − | 10.3763i | − | 0.873838i | ||||||
\(142\) | 0.0326658 | + | 0.127425i | 0.00274125 | + | 0.0106933i | ||||
\(143\) | 2.53243i | 0.211772i | ||||||||
\(144\) | 2.14842 | − | 3.37406i | 0.179035 | − | 0.281172i | ||||
\(145\) | 21.2033i | 1.76083i | ||||||||
\(146\) | −8.66025 | + | 2.22008i | −0.716727 | + | 0.183735i | ||||
\(147\) | −9.59712 | −0.791557 | ||||||||
\(148\) | −1.80711 | + | 0.991685i | −0.148543 | + | 0.0815160i | ||||
\(149\) | 17.7725 | 1.45598 | 0.727990 | − | 0.685588i | \(-0.240455\pi\) | ||||
0.727990 | + | 0.685588i | \(0.240455\pi\) | |||||||
\(150\) | 10.7745 | − | 2.76208i | 0.879735 | − | 0.225523i | ||||
\(151\) | 2.76841i | 0.225290i | 0.993635 | + | 0.112645i | \(0.0359322\pi\) | ||||
−0.993635 | + | 0.112645i | \(0.964068\pi\) | |||||||
\(152\) | 10.1568 | + | 10.8405i | 0.823824 | + | 0.879283i | ||||
\(153\) | 0.330562 | 0.0267244 | ||||||||
\(154\) | −24.0096 | + | 6.15494i | −1.93475 | + | 0.495979i | ||||
\(155\) | − | 20.6238i | − | 1.65655i | ||||||
\(156\) | 0.566394 | + | 1.03212i | 0.0453478 | + | 0.0826356i | ||||
\(157\) | 7.09583 | 0.566309 | 0.283154 | − | 0.959074i | \(-0.408619\pi\) | ||||
0.283154 | + | 0.959074i | \(0.408619\pi\) | |||||||
\(158\) | −1.96424 | + | 0.503537i | −0.156266 | + | 0.0400593i | ||||
\(159\) | − | 8.47969i | − | 0.672483i | ||||||
\(160\) | −19.2850 | − | 6.30646i | −1.52461 | − | 0.498570i | ||||
\(161\) | − | 2.04296i | − | 0.161008i | ||||||
\(162\) | 1.36992 | − | 0.351182i | 0.107631 | − | 0.0275915i | ||||
\(163\) | − | 4.97600i | − | 0.389751i | −0.980828 | − | 0.194875i | \(-0.937570\pi\) | ||
0.980828 | − | 0.194875i | \(-0.0624302\pi\) | |||||||
\(164\) | −6.77961 | − | 12.3542i | −0.529399 | − | 0.964703i | ||||
\(165\) | − | 15.4305i | − | 1.20127i | ||||||
\(166\) | 4.41583 | + | 17.2256i | 0.342735 | + | 1.33697i | ||||
\(167\) | 5.01857i | 0.388349i | 0.980967 | + | 0.194174i | \(0.0622028\pi\) | ||||
−0.980967 | + | 0.194174i | \(0.937797\pi\) | |||||||
\(168\) | −8.40878 | + | 7.87842i | −0.648751 | + | 0.607833i | ||||
\(169\) | 12.6535 | 0.973345 | ||||||||
\(170\) | −0.416382 | − | 1.62425i | −0.0319351 | − | 0.124575i | ||||
\(171\) | 5.25211i | 0.401639i | ||||||||
\(172\) | 12.0344 | − | 6.60412i | 0.917616 | − | 0.503559i | ||||
\(173\) | −11.2641 | −0.856397 | −0.428199 | − | 0.903685i | \(-0.640852\pi\) | ||||
−0.428199 | + | 0.903685i | \(0.640852\pi\) | |||||||
\(174\) | 8.09823 | − | 2.07601i | 0.613926 | − | 0.157382i | ||||
\(175\) | −32.0420 | −2.42215 | ||||||||
\(176\) | −9.24260 | + | 14.5154i | −0.696687 | + | 1.09414i | ||||
\(177\) | 8.93686i | 0.671736i | ||||||||
\(178\) | 25.1088 | − | 6.43671i | 1.88198 | − | 0.482452i | ||||
\(179\) | −21.4107 | −1.60031 | −0.800156 | − | 0.599792i | \(-0.795250\pi\) | ||||
−0.800156 | + | 0.599792i | \(0.795250\pi\) | |||||||
\(180\) | −3.45114 | − | 6.28888i | −0.257233 | − | 0.468745i | ||||
\(181\) | −5.39768 | −0.401206 | −0.200603 | − | 0.979673i | \(-0.564290\pi\) | ||||
−0.200603 | + | 0.979673i | \(0.564290\pi\) | |||||||
\(182\) | −0.842192 | − | 3.28528i | −0.0624274 | − | 0.243521i | ||||
\(183\) | 6.57062i | 0.485714i | ||||||||
\(184\) | −0.969762 | − | 1.03505i | −0.0714918 | − | 0.0763046i | ||||
\(185\) | 3.69678i | 0.271793i | ||||||||
\(186\) | −7.87693 | + | 2.01927i | −0.577565 | + | 0.148060i | ||||
\(187\) | −1.42209 | −0.103994 | ||||||||
\(188\) | 9.98382 | + | 18.1931i | 0.728145 | + | 1.32687i | ||||
\(189\) | −4.07396 | −0.296337 | ||||||||
\(190\) | 25.8068 | − | 6.61565i | 1.87222 | − | 0.479950i | ||||
\(191\) | −4.14224 | −0.299722 | −0.149861 | − | 0.988707i | \(-0.547883\pi\) | ||||
−0.149861 | + | 0.988707i | \(0.547883\pi\) | |||||||
\(192\) | −0.520460 | + | 7.98305i | −0.0375609 | + | 0.576127i | ||||
\(193\) | 21.8440 | 1.57237 | 0.786183 | − | 0.617994i | \(-0.212054\pi\) | ||||
0.786183 | + | 0.617994i | \(0.212054\pi\) | |||||||
\(194\) | 2.40044 | + | 9.36383i | 0.172342 | + | 0.672284i | ||||
\(195\) | 2.11139 | 0.151200 | ||||||||
\(196\) | 16.8270 | − | 9.23416i | 1.20193 | − | 0.659583i | ||||
\(197\) | − | 25.7830i | − | 1.83696i | −0.395464 | − | 0.918481i | \(-0.629416\pi\) | ||
0.395464 | − | 0.918481i | \(-0.370584\pi\) | |||||||
\(198\) | −5.89344 | + | 1.51080i | −0.418829 | + | 0.107368i | ||||
\(199\) | 9.34594i | 0.662516i | 0.943540 | + | 0.331258i | \(0.107473\pi\) | ||||
−0.943540 | + | 0.331258i | \(0.892527\pi\) | |||||||
\(200\) | −16.2338 | + | 15.2099i | −1.14790 | + | 1.07550i | ||||
\(201\) | −4.33838 | + | 6.94107i | −0.306006 | + | 0.489585i | ||||
\(202\) | 2.17051 | + | 8.46688i | 0.152716 | + | 0.595727i | ||||
\(203\) | −24.0831 | −1.69030 | ||||||||
\(204\) | −0.579589 | + | 0.318061i | −0.0405794 | + | 0.0222687i | ||||
\(205\) | −25.2729 | −1.76514 | ||||||||
\(206\) | 7.10416 | + | 27.7124i | 0.494970 | + | 1.93082i | ||||
\(207\) | − | 0.501468i | − | 0.0348544i | ||||||
\(208\) | −1.98617 | − | 1.26468i | −0.137716 | − | 0.0876900i | ||||
\(209\) | − | 22.5948i | − | 1.56292i | ||||||
\(210\) | 5.13163 | + | 20.0178i | 0.354116 | + | 1.38136i | ||||
\(211\) | − | 3.95038i | − | 0.271955i | −0.990712 | − | 0.135978i | \(-0.956582\pi\) | ||
0.990712 | − | 0.135978i | \(-0.0434175\pi\) | |||||||
\(212\) | 8.15898 | + | 14.8678i | 0.560361 | + | 1.02112i | ||||
\(213\) | − | 0.0930167i | − | 0.00637340i | ||||||
\(214\) | 1.85784 | + | 7.24719i | 0.126999 | + | 0.495408i | ||||
\(215\) | − | 24.6187i | − | 1.67898i | ||||||
\(216\) | −2.06403 | + | 1.93385i | −0.140440 | + | 0.131582i | ||||
\(217\) | 23.4250 | 1.59019 | ||||||||
\(218\) | 2.15467 | + | 8.40511i | 0.145933 | + | 0.569266i | ||||
\(219\) | 6.32174 | 0.427183 | ||||||||
\(220\) | 14.8470 | + | 27.0550i | 1.00098 | + | 1.82405i | ||||
\(221\) | − | 0.194588i | − | 0.0130894i | ||||||
\(222\) | 1.41193 | − | 0.361951i | 0.0947622 | − | 0.0242926i | ||||
\(223\) | 2.38734i | 0.159868i | 0.996800 | + | 0.0799341i | \(0.0254710\pi\) | ||||
−0.996800 | + | 0.0799341i | \(0.974529\pi\) | |||||||
\(224\) | 7.16301 | − | 21.9043i | 0.478599 | − | 1.46354i | ||||
\(225\) | −7.86509 | −0.524339 | ||||||||
\(226\) | 1.54927 | + | 6.04350i | 0.103056 | + | 0.402008i | ||||
\(227\) | − | 6.93501i | − | 0.460293i | −0.973156 | − | 0.230146i | \(-0.926080\pi\) | ||
0.973156 | − | 0.230146i | \(-0.0739205\pi\) | |||||||
\(228\) | −5.05348 | − | 9.20875i | −0.334675 | − | 0.609864i | ||||
\(229\) | 24.0931i | 1.59212i | 0.605219 | + | 0.796059i | \(0.293086\pi\) | ||||
−0.605219 | + | 0.796059i | \(0.706914\pi\) | |||||||
\(230\) | −2.46402 | + | 0.631657i | −0.162472 | + | 0.0416502i | ||||
\(231\) | 17.5263 | 1.15315 | ||||||||
\(232\) | −12.2015 | + | 11.4319i | −0.801067 | + | 0.750541i | ||||
\(233\) | 15.1293i | 0.991152i | 0.868565 | + | 0.495576i | \(0.165043\pi\) | ||||
−0.868565 | + | 0.495576i | \(0.834957\pi\) | |||||||
\(234\) | −0.206726 | − | 0.806411i | −0.0135141 | − | 0.0527168i | ||||
\(235\) | 37.2175 | 2.42780 | ||||||||
\(236\) | −8.59887 | − | 15.6694i | −0.559739 | − | 1.01999i | ||||
\(237\) | 1.43384 | 0.0931376 | ||||||||
\(238\) | 1.84486 | − | 0.472936i | 0.119585 | − | 0.0306559i | ||||
\(239\) | −11.1501 | −0.721237 | −0.360619 | − | 0.932713i | \(-0.617434\pi\) | ||||
−0.360619 | + | 0.932713i | \(0.617434\pi\) | |||||||
\(240\) | 12.1021 | + | 7.70594i | 0.781185 | + | 0.497416i | ||||
\(241\) | −26.2380 | −1.69014 | −0.845068 | − | 0.534659i | \(-0.820440\pi\) | ||||
−0.845068 | + | 0.534659i | \(0.820440\pi\) | |||||||
\(242\) | 10.2848 | − | 2.63653i | 0.661130 | − | 0.169483i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | −6.32212 | − | 11.5206i | −0.404732 | − | 0.737528i | ||||
\(245\) | − | 34.4229i | − | 2.19920i | ||||||
\(246\) | 2.47446 | + | 9.65256i | 0.157766 | + | 0.615425i | ||||
\(247\) | 3.09169 | 0.196720 | ||||||||
\(248\) | 11.8681 | − | 11.1195i | 0.753622 | − | 0.706089i | ||||
\(249\) | − | 12.5742i | − | 0.796858i | ||||||
\(250\) | 3.60891 | + | 14.0779i | 0.228248 | + | 0.890365i | ||||
\(251\) | 23.7883 | 1.50150 | 0.750752 | − | 0.660584i | \(-0.229691\pi\) | ||||
0.750752 | + | 0.660584i | \(0.229691\pi\) | |||||||
\(252\) | 7.14304 | − | 3.91988i | 0.449969 | − | 0.246929i | ||||
\(253\) | 2.15734i | 0.135631i | ||||||||
\(254\) | −5.17807 | − | 20.1990i | −0.324901 | − | 1.26740i | ||||
\(255\) | 1.18566i | 0.0742489i | ||||||||
\(256\) | −6.76859 | − | 14.4978i | −0.423037 | − | 0.906112i | ||||
\(257\) | 12.6784 | 0.790858 | 0.395429 | − | 0.918497i | \(-0.370596\pi\) | ||||
0.395429 | + | 0.918497i | \(0.370596\pi\) | |||||||
\(258\) | −9.40270 | + | 2.41041i | −0.585387 | + | 0.150066i | ||||
\(259\) | −4.19889 | −0.260906 | ||||||||
\(260\) | −3.70199 | + | 2.03154i | −0.229588 | + | 0.125991i | ||||
\(261\) | −5.91148 | −0.365911 | ||||||||
\(262\) | 7.26162 | + | 28.3267i | 0.448624 | + | 1.75003i | ||||
\(263\) | − | 3.60969i | − | 0.222583i | −0.993788 | − | 0.111292i | \(-0.964501\pi\) | ||
0.993788 | − | 0.111292i | \(-0.0354988\pi\) | |||||||
\(264\) | 8.87956 | − | 8.31950i | 0.546499 | − | 0.512030i | ||||
\(265\) | 30.4149 | 1.86837 | ||||||||
\(266\) | 7.51420 | + | 29.3119i | 0.460725 | + | 1.79723i | ||||
\(267\) | −18.3287 | −1.12170 | ||||||||
\(268\) | 0.928110 | − | 16.3444i | 0.0566934 | − | 0.998392i | ||||
\(269\) | 30.3436 | 1.85008 | 0.925041 | − | 0.379866i | \(-0.124030\pi\) | ||||
0.925041 | + | 0.379866i | \(0.124030\pi\) | |||||||
\(270\) | 1.25962 | + | 4.91361i | 0.0766579 | + | 0.299033i | ||||
\(271\) | −22.2235 | −1.34998 | −0.674990 | − | 0.737827i | \(-0.735852\pi\) | ||||
−0.674990 | + | 0.737827i | \(0.735852\pi\) | |||||||
\(272\) | 0.710187 | − | 1.11534i | 0.0430614 | − | 0.0676273i | ||||
\(273\) | 2.39816i | 0.145143i | ||||||||
\(274\) | −5.11659 | − | 19.9592i | −0.309105 | − | 1.20578i | ||||
\(275\) | 33.8360 | 2.04039 | ||||||||
\(276\) | 0.482502 | + | 0.879244i | 0.0290432 | + | 0.0529243i | ||||
\(277\) | −3.09791 | −0.186135 | −0.0930677 | − | 0.995660i | \(-0.529667\pi\) | ||||
−0.0930677 | + | 0.995660i | \(0.529667\pi\) | |||||||
\(278\) | −24.6443 | + | 6.31764i | −1.47807 | + | 0.378907i | ||||
\(279\) | 5.74994 | 0.344240 | ||||||||
\(280\) | −28.2582 | − | 30.1606i | −1.68875 | − | 1.80244i | ||||
\(281\) | − | 24.6045i | − | 1.46778i | −0.679267 | − | 0.733892i | \(-0.737702\pi\) | ||
0.679267 | − | 0.733892i | \(-0.262298\pi\) | |||||||
\(282\) | −3.64395 | − | 14.2146i | −0.216994 | − | 0.846467i | ||||
\(283\) | − | 29.8385i | − | 1.77372i | −0.462042 | − | 0.886858i | \(-0.652883\pi\) | ||
0.462042 | − | 0.886858i | \(-0.347117\pi\) | |||||||
\(284\) | 0.0894988 | + | 0.163090i | 0.00531078 | + | 0.00967762i | ||||
\(285\) | −18.8382 | −1.11588 | ||||||||
\(286\) | 0.889344 | + | 3.46922i | 0.0525880 | + | 0.205139i | ||||
\(287\) | − | 28.7055i | − | 1.69443i | ||||||
\(288\) | 1.75825 | − | 5.37667i | 0.103606 | − | 0.316823i | ||||
\(289\) | −16.8907 | −0.993572 | ||||||||
\(290\) | 7.44620 | + | 29.0467i | 0.437256 | + | 1.70568i | ||||
\(291\) | − | 6.83533i | − | 0.400694i | ||||||
\(292\) | −11.0842 | + | 6.08265i | −0.648652 | + | 0.355960i | ||||
\(293\) | 20.9178 | 1.22203 | 0.611016 | − | 0.791618i | \(-0.290761\pi\) | ||||
0.611016 | + | 0.791618i | \(0.290761\pi\) | |||||||
\(294\) | −13.1473 | + | 3.37034i | −0.766764 | + | 0.196562i | ||||
\(295\) | −32.0547 | −1.86630 | ||||||||
\(296\) | −2.12733 | + | 1.99315i | −0.123648 | + | 0.115850i | ||||
\(297\) | 4.30204 | 0.249630 | ||||||||
\(298\) | 24.3468 | − | 6.24138i | 1.41037 | − | 0.361553i | ||||
\(299\) | −0.295193 | −0.0170714 | ||||||||
\(300\) | 13.7902 | − | 7.56763i | 0.796177 | − | 0.436917i | ||||
\(301\) | 27.9624 | 1.61173 | ||||||||
\(302\) | 0.972214 | + | 3.79248i | 0.0559446 | + | 0.218233i | ||||
\(303\) | − | 6.18058i | − | 0.355065i | ||||||
\(304\) | 17.7209 | + | 11.2837i | 1.01637 | + | 0.647167i | ||||
\(305\) | −23.5675 | −1.34947 | ||||||||
\(306\) | 0.452843 | − | 0.116088i | 0.0258873 | − | 0.00663629i | ||||
\(307\) | 11.5339i | 0.658273i | 0.944282 | + | 0.329136i | \(0.106758\pi\) | ||||
−0.944282 | + | 0.329136i | \(0.893242\pi\) | |||||||
\(308\) | −30.7297 | + | 16.8635i | −1.75099 | + | 0.960887i | ||||
\(309\) | − | 20.2293i | − | 1.15080i | ||||||
\(310\) | −7.24272 | − | 28.2529i | −0.411359 | − | 1.60466i | ||||
\(311\) | 12.2954 | 0.697207 | 0.348603 | − | 0.937270i | \(-0.386656\pi\) | ||||
0.348603 | + | 0.937270i | \(0.386656\pi\) | |||||||
\(312\) | 1.13837 | + | 1.21501i | 0.0644477 | + | 0.0687863i | ||||
\(313\) | − | 5.39606i | − | 0.305004i | −0.988303 | − | 0.152502i | \(-0.951267\pi\) | ||
0.988303 | − | 0.152502i | \(-0.0487330\pi\) | |||||||
\(314\) | 9.72069 | − | 2.49193i | 0.548570 | − | 0.140628i | ||||
\(315\) | − | 14.6124i | − | 0.823318i | ||||||
\(316\) | −2.51400 | + | 1.37961i | −0.141424 | + | 0.0776090i | ||||
\(317\) | −16.1308 | −0.905995 | −0.452997 | − | 0.891512i | \(-0.649645\pi\) | ||||
−0.452997 | + | 0.891512i | \(0.649645\pi\) | |||||||
\(318\) | −2.97791 | − | 11.6165i | −0.166993 | − | 0.651419i | ||||
\(319\) | 25.4315 | 1.42389 | ||||||||
\(320\) | −28.6336 | − | 1.86678i | −1.60066 | − | 0.104356i | ||||
\(321\) | − | 5.29024i | − | 0.295272i | ||||||
\(322\) | −0.717450 | − | 2.79868i | −0.0399819 | − | 0.155964i | ||||
\(323\) | 1.73615i | 0.0966020i | ||||||||
\(324\) | 1.75334 | − | 0.962180i | 0.0974079 | − | 0.0534544i | ||||
\(325\) | 4.62984i | 0.256817i | ||||||||
\(326\) | −1.74748 | − | 6.81671i | −0.0967841 | − | 0.377543i | ||||
\(327\) | − | 6.13549i | − | 0.339293i | ||||||
\(328\) | −13.6261 | − | 14.5434i | −0.752375 | − | 0.803023i | ||||
\(329\) | 42.2724i | 2.33055i | ||||||||
\(330\) | −5.41893 | − | 21.1386i | −0.298302 | − | 1.16364i | ||||
\(331\) | 12.6337 | 0.694410 | 0.347205 | − | 0.937789i | \(-0.387131\pi\) | ||||
0.347205 | + | 0.937789i | \(0.387131\pi\) | |||||||
\(332\) | 12.0986 | + | 22.0469i | 0.663999 | + | 1.20998i | ||||
\(333\) | −1.03067 | −0.0564801 | ||||||||
\(334\) | 1.76243 | + | 6.87503i | 0.0964360 | + | 0.376185i | ||||
\(335\) | −24.8962 | − | 15.5609i | −1.36022 | − | 0.850182i | ||||
\(336\) | −8.75257 | + | 13.7458i | −0.477492 | + | 0.749894i | ||||
\(337\) | 16.8432i | 0.917508i | 0.888563 | + | 0.458754i | \(0.151704\pi\) | ||||
−0.888563 | + | 0.458754i | \(0.848296\pi\) | |||||||
\(338\) | 17.3342 | − | 4.44368i | 0.942857 | − | 0.241704i | ||||
\(339\) | − | 4.41158i | − | 0.239604i | ||||||
\(340\) | −1.14082 | − | 2.07887i | −0.0618695 | − | 0.112742i | ||||
\(341\) | −24.7365 | −1.33956 | ||||||||
\(342\) | 1.84445 | + | 7.19495i | 0.0997363 | + | 0.389058i | ||||
\(343\) | 10.5806 | 0.571297 | ||||||||
\(344\) | 14.1669 | − | 13.2734i | 0.763828 | − | 0.715652i | ||||
\(345\) | 1.79866 | 0.0968366 | ||||||||
\(346\) | −15.4309 | + | 3.95576i | −0.829572 | + | 0.212663i | ||||
\(347\) | 3.44586 | 0.184984 | 0.0924918 | − | 0.995713i | \(-0.470517\pi\) | ||||
0.0924918 | + | 0.995713i | \(0.470517\pi\) | |||||||
\(348\) | 10.3648 | − | 5.68791i | 0.555614 | − | 0.304904i | ||||
\(349\) | −4.46833 | −0.239184 | −0.119592 | − | 0.992823i | \(-0.538159\pi\) | ||||
−0.119592 | + | 0.992823i | \(0.538159\pi\) | |||||||
\(350\) | −43.8949 | + | 11.2526i | −2.34628 | + | 0.601476i | ||||
\(351\) | 0.588657i | 0.0314202i | ||||||||
\(352\) | −7.56405 | + | 23.1307i | −0.403165 | + | 1.23287i | ||||
\(353\) | 4.56092i | 0.242753i | 0.992607 | + | 0.121377i | \(0.0387309\pi\) | ||||
−0.992607 | + | 0.121377i | \(0.961269\pi\) | |||||||
\(354\) | 3.13847 | + | 12.2428i | 0.166808 | + | 0.650695i | ||||
\(355\) | 0.333632 | 0.0177073 | ||||||||
\(356\) | 32.1365 | − | 17.6355i | 1.70323 | − | 0.934681i | ||||
\(357\) | −1.34670 | −0.0712748 | ||||||||
\(358\) | −29.3309 | + | 7.51906i | −1.55019 | + | 0.397395i | ||||
\(359\) | − | 20.7570i | − | 1.09551i | −0.836638 | − | 0.547756i | \(-0.815482\pi\) | ||
0.836638 | − | 0.547756i | \(-0.184518\pi\) | |||||||
\(360\) | −6.93632 | − | 7.40326i | −0.365576 | − | 0.390186i | ||||
\(361\) | −8.58466 | −0.451824 | ||||||||
\(362\) | −7.39437 | + | 1.89557i | −0.388639 | + | 0.0996288i | ||||
\(363\) | −7.50759 | −0.394046 | ||||||||
\(364\) | −2.30747 | − | 4.20480i | −0.120944 | − | 0.220392i | ||||
\(365\) | 22.6748i | 1.18685i | ||||||||
\(366\) | 2.30748 | + | 9.00121i | 0.120614 | + | 0.470501i | ||||
\(367\) | −5.26708 | −0.274939 | −0.137470 | − | 0.990506i | \(-0.543897\pi\) | ||||
−0.137470 | + | 0.990506i | \(0.543897\pi\) | |||||||
\(368\) | −1.69198 | − | 1.07736i | −0.0882007 | − | 0.0561614i | ||||
\(369\) | − | 7.04610i | − | 0.366805i | ||||||
\(370\) | 1.29824 | + | 5.06428i | 0.0674925 | + | 0.263280i | ||||
\(371\) | 34.5459i | 1.79353i | ||||||||
\(372\) | −10.0816 | + | 5.53247i | −0.522707 | + | 0.286845i | ||||
\(373\) | − | 14.5957i | − | 0.755736i | −0.925860 | − | 0.377868i | \(-0.876657\pi\) | ||
0.925860 | − | 0.377868i | \(-0.123343\pi\) | |||||||
\(374\) | −1.94815 | + | 0.499414i | −0.100736 | + | 0.0258241i | ||||
\(375\) | − | 10.2765i | − | 0.530675i | ||||||
\(376\) | 20.0661 | + | 21.4169i | 1.03483 | + | 1.10449i | ||||
\(377\) | 3.47984i | 0.179221i | ||||||||
\(378\) | −5.58098 | + | 1.43070i | −0.287055 | + | 0.0735873i | ||||
\(379\) | −26.2477 | −1.34825 | −0.674127 | − | 0.738615i | \(-0.735480\pi\) | ||||
−0.674127 | + | 0.738615i | \(0.735480\pi\) | |||||||
\(380\) | 33.0299 | − | 18.1258i | 1.69440 | − | 0.929833i | ||||
\(381\) | 14.7447i | 0.755393i | ||||||||
\(382\) | −5.67452 | + | 1.45468i | −0.290334 | + | 0.0744279i | ||||
\(383\) | −21.4139 | −1.09420 | −0.547098 | − | 0.837068i | \(-0.684268\pi\) | ||||
−0.547098 | + | 0.837068i | \(0.684268\pi\) | |||||||
\(384\) | 2.09052 | + | 11.1189i | 0.106681 | + | 0.567409i | ||||
\(385\) | 62.8634i | 3.20381i | ||||||||
\(386\) | 29.9245 | − | 7.67122i | 1.52312 | − | 0.390455i | ||||
\(387\) | 6.86370 | 0.348902 | ||||||||
\(388\) | 6.57681 | + | 11.9847i | 0.333887 | + | 0.608429i | ||||
\(389\) | 3.91720 | 0.198610 | 0.0993050 | − | 0.995057i | \(-0.468338\pi\) | ||||
0.0993050 | + | 0.995057i | \(0.468338\pi\) | |||||||
\(390\) | 2.89243 | − | 0.741483i | 0.146464 | − | 0.0375464i | ||||
\(391\) | − | 0.165766i | − | 0.00838317i | ||||||
\(392\) | 19.8088 | − | 18.5594i | 1.00049 | − | 0.937390i | ||||
\(393\) | − | 20.6777i | − | 1.04305i | ||||||
\(394\) | −9.05453 | − | 35.3206i | −0.456160 | − | 1.77942i | ||||
\(395\) | 5.14287i | 0.258766i | ||||||||
\(396\) | −7.54296 | + | 4.13934i | −0.379048 | + | 0.208010i | ||||
\(397\) | −8.71504 | −0.437396 | −0.218698 | − | 0.975793i | \(-0.570181\pi\) | ||||
−0.218698 | + | 0.975793i | \(0.570181\pi\) | |||||||
\(398\) | 3.28213 | + | 12.8032i | 0.164518 | + | 0.641764i | ||||
\(399\) | − | 21.3969i | − | 1.07118i | ||||||
\(400\) | −16.8975 | + | 26.5373i | −0.844875 | + | 1.32686i | ||||
\(401\) | − | 16.8353i | − | 0.840713i | −0.907359 | − | 0.420357i | \(-0.861905\pi\) | ||
0.907359 | − | 0.420357i | \(-0.138095\pi\) | |||||||
\(402\) | −3.50564 | + | 11.0322i | −0.174846 | + | 0.550238i | ||||
\(403\) | − | 3.38474i | − | 0.168606i | ||||||
\(404\) | 5.94683 | + | 10.8367i | 0.295866 | + | 0.539145i | ||||
\(405\) | − | 3.58679i | − | 0.178229i | ||||||
\(406\) | −32.9919 | + | 8.45756i | −1.63736 | + | 0.419741i | ||||
\(407\) | 4.43397 | 0.219784 | ||||||||
\(408\) | −0.682292 | + | 0.639258i | −0.0337785 | + | 0.0316480i | ||||
\(409\) | − | 14.1575i | − | 0.700045i | −0.936741 | − | 0.350022i | \(-0.886174\pi\) | ||
0.936741 | − | 0.350022i | \(-0.113826\pi\) | |||||||
\(410\) | −34.6218 | + | 8.87539i | −1.70985 | + | 0.438324i | ||||
\(411\) | 14.5696i | 0.718667i | ||||||||
\(412\) | 19.4642 | + | 35.4689i | 0.958933 | + | 1.74743i | ||||
\(413\) | − | 36.4084i | − | 1.79154i | ||||||
\(414\) | −0.176106 | − | 0.686969i | −0.00865516 | − | 0.0337627i | ||||
\(415\) | 45.1011 | 2.21392 | ||||||||
\(416\) | −3.16502 | − | 1.03500i | −0.155178 | − | 0.0507452i | ||||
\(417\) | 17.9896 | 0.880956 | ||||||||
\(418\) | −7.93489 | − | 30.9530i | −0.388108 | − | 1.51396i | ||||
\(419\) | 24.7345i | 1.20836i | 0.796848 | + | 0.604179i | \(0.206499\pi\) | ||||
−0.796848 | + | 0.604179i | \(0.793501\pi\) | |||||||
\(420\) | 14.0598 | + | 25.6206i | 0.686048 | + | 1.25016i | ||||
\(421\) | 0.0863411 | 0.00420801 | 0.00210400 | − | 0.999998i | \(-0.499330\pi\) | ||||
0.00210400 | + | 0.999998i | \(0.499330\pi\) | |||||||
\(422\) | −1.38730 | − | 5.41169i | −0.0675328 | − | 0.263437i | ||||
\(423\) | 10.3763i | 0.504511i | ||||||||
\(424\) | 16.3984 | + | 17.5023i | 0.796378 | + | 0.849989i | ||||
\(425\) | −2.59990 | −0.126114 | ||||||||
\(426\) | −0.0326658 | − | 0.127425i | −0.00158266 | − | 0.00617377i | ||||
\(427\) | − | 26.7684i | − | 1.29542i | ||||||
\(428\) | 5.09016 | + | 9.27560i | 0.246042 | + | 0.448353i | ||||
\(429\) | − | 2.53243i | − | 0.122267i | ||||||
\(430\) | −8.64564 | − | 33.7255i | −0.416930 | − | 1.62639i | ||||
\(431\) | 13.3565i | 0.643360i | 0.946848 | + | 0.321680i | \(0.104248\pi\) | ||||
−0.946848 | + | 0.321680i | \(0.895752\pi\) | |||||||
\(432\) | −2.14842 | + | 3.37406i | −0.103366 | + | 0.162335i | ||||
\(433\) | − | 1.00574i | − | 0.0483328i | −0.999708 | − | 0.0241664i | \(-0.992307\pi\) | ||
0.999708 | − | 0.0241664i | \(-0.00769316\pi\) | |||||||
\(434\) | 32.0903 | − | 8.22643i | 1.54038 | − | 0.394881i | ||||
\(435\) | − | 21.2033i | − | 1.01662i | ||||||
\(436\) | 5.90345 | + | 10.7576i | 0.282724 | + | 0.515196i | ||||
\(437\) | 2.63376 | 0.125990 | ||||||||
\(438\) | 8.66025 | − | 2.22008i | 0.413803 | − | 0.106080i | ||||
\(439\) | 25.7975i | 1.23125i | 0.788040 | + | 0.615624i | \(0.211096\pi\) | ||||
−0.788040 | + | 0.615624i | \(0.788904\pi\) | |||||||
\(440\) | 29.8403 | + | 31.8491i | 1.42258 | + | 1.51835i | ||||
\(441\) | 9.59712 | 0.457006 | ||||||||
\(442\) | −0.0683358 | − | 0.266569i | −0.00325040 | − | 0.0126794i | ||||
\(443\) | 6.93125 | 0.329314 | 0.164657 | − | 0.986351i | \(-0.447348\pi\) | ||||
0.164657 | + | 0.986351i | \(0.447348\pi\) | |||||||
\(444\) | 1.80711 | − | 0.991685i | 0.0857616 | − | 0.0470633i | ||||
\(445\) | − | 65.7413i | − | 3.11644i | ||||||
\(446\) | 0.838391 | + | 3.27046i | 0.0396990 | + | 0.154861i | ||||
\(447\) | −17.7725 | −0.840610 | ||||||||
\(448\) | 2.12033 | − | 32.5226i | 0.100176 | − | 1.53655i | ||||
\(449\) | −28.0410 | −1.32333 | −0.661667 | − | 0.749798i | \(-0.730151\pi\) | ||||
−0.661667 | + | 0.749798i | \(0.730151\pi\) | |||||||
\(450\) | −10.7745 | + | 2.76208i | −0.507915 | + | 0.130206i | ||||
\(451\) | 30.3126i | 1.42737i | ||||||||
\(452\) | 4.24474 | + | 7.73501i | 0.199656 | + | 0.363824i | ||||
\(453\) | − | 2.76841i | − | 0.130071i | ||||||
\(454\) | −2.43545 | − | 9.50038i | −0.114301 | − | 0.445875i | ||||
\(455\) | −8.60172 | −0.403255 | ||||||||
\(456\) | −10.1568 | − | 10.8405i | −0.475635 | − | 0.507654i | ||||
\(457\) | −17.7010 | −0.828016 | −0.414008 | − | 0.910273i | \(-0.635871\pi\) | ||||
−0.414008 | + | 0.910273i | \(0.635871\pi\) | |||||||
\(458\) | 8.46107 | + | 33.0056i | 0.395360 | + | 1.54225i | ||||
\(459\) | −0.330562 | −0.0154293 | ||||||||
\(460\) | −3.15367 | + | 1.73064i | −0.147041 | + | 0.0806913i | ||||
\(461\) | −25.5414 | −1.18958 | −0.594790 | − | 0.803881i | \(-0.702765\pi\) | ||||
−0.594790 | + | 0.803881i | \(0.702765\pi\) | |||||||
\(462\) | 24.0096 | − | 6.15494i | 1.11703 | − | 0.286354i | ||||
\(463\) | −29.6295 | −1.37700 | −0.688499 | − | 0.725237i | \(-0.741730\pi\) | ||||
−0.688499 | + | 0.725237i | \(0.741730\pi\) | |||||||
\(464\) | −12.7003 | + | 19.9457i | −0.589598 | + | 0.925956i | ||||
\(465\) | 20.6238i | 0.956407i | ||||||||
\(466\) | 5.31313 | + | 20.7258i | 0.246126 | + | 0.960106i | ||||
\(467\) | 1.83988i | 0.0851395i | 0.999093 | + | 0.0425698i | \(0.0135545\pi\) | ||||
−0.999093 | + | 0.0425698i | \(0.986446\pi\) | |||||||
\(468\) | −0.566394 | − | 1.03212i | −0.0261816 | − | 0.0477097i | ||||
\(469\) | 17.6744 | − | 28.2776i | 0.816127 | − | 1.30574i | ||||
\(470\) | 50.9848 | − | 13.0701i | 2.35176 | − | 0.602879i | ||||
\(471\) | −7.09583 | −0.326959 | ||||||||
\(472\) | −17.2825 | − | 18.4460i | −0.795493 | − | 0.849045i | ||||
\(473\) | −29.5280 | −1.35770 | ||||||||
\(474\) | 1.96424 | − | 0.503537i | 0.0902203 | − | 0.0231282i | ||||
\(475\) | − | 41.3083i | − | 1.89536i | ||||||
\(476\) | 2.36122 | − | 1.29577i | 0.108226 | − | 0.0593913i | ||||
\(477\) | 8.47969i | 0.388258i | ||||||||
\(478\) | −15.2746 | + | 3.91570i | −0.698646 | + | 0.179100i | ||||
\(479\) | − | 29.7336i | − | 1.35856i | −0.733879 | − | 0.679281i | \(-0.762292\pi\) | ||
0.733879 | − | 0.679281i | \(-0.237708\pi\) | |||||||
\(480\) | 19.2850 | + | 6.30646i | 0.880236 | + | 0.287849i | ||||
\(481\) | 0.606709i | 0.0276635i | ||||||||
\(482\) | −35.9438 | + | 9.21430i | −1.63720 | + | 0.419700i | ||||
\(483\) | 2.04296i | 0.0929578i | ||||||||
\(484\) | 13.1634 | − | 7.22365i | 0.598335 | − | 0.328348i | ||||
\(485\) | 24.5169 | 1.11326 | ||||||||
\(486\) | −1.36992 | + | 0.351182i | −0.0621407 | + | 0.0159299i | ||||
\(487\) | −32.6107 | −1.47773 | −0.738867 | − | 0.673852i | \(-0.764639\pi\) | ||||
−0.738867 | + | 0.673852i | \(0.764639\pi\) | |||||||
\(488\) | −12.7066 | − | 13.5620i | −0.575200 | − | 0.613922i | ||||
\(489\) | 4.97600i | 0.225023i | ||||||||
\(490\) | −12.0887 | − | 47.1565i | −0.546112 | − | 2.13031i | ||||
\(491\) | 39.1050i | 1.76478i | 0.470516 | + | 0.882391i | \(0.344068\pi\) | ||||
−0.470516 | + | 0.882391i | \(0.655932\pi\) | |||||||
\(492\) | 6.77961 | + | 12.3542i | 0.305649 | + | 0.556971i | ||||
\(493\) | −1.95411 | −0.0880088 | ||||||||
\(494\) | 4.23536 | − | 1.08575i | 0.190558 | − | 0.0488501i | ||||
\(495\) | 15.4305i | 0.693551i | ||||||||
\(496\) | 12.3533 | − | 19.4006i | 0.554678 | − | 0.871114i | ||||
\(497\) | 0.378946i | 0.0169981i | ||||||||
\(498\) | −4.41583 | − | 17.2256i | −0.197878 | − | 0.771898i | ||||
\(499\) | −17.5274 | −0.784634 | −0.392317 | − | 0.919830i | \(-0.628326\pi\) | ||||
−0.392317 | + | 0.919830i | \(0.628326\pi\) | |||||||
\(500\) | 9.88782 | + | 18.0182i | 0.442197 | + | 0.805798i | ||||
\(501\) | − | 5.01857i | − | 0.224213i | ||||||
\(502\) | 32.5880 | − | 8.35402i | 1.45447 | − | 0.372858i | ||||
\(503\) | 22.9024 | 1.02117 | 0.510583 | − | 0.859828i | \(-0.329430\pi\) | ||||
0.510583 | + | 0.859828i | \(0.329430\pi\) | |||||||
\(504\) | 8.40878 | − | 7.87842i | 0.374557 | − | 0.350933i | ||||
\(505\) | 22.1685 | 0.986483 | ||||||||
\(506\) | 0.757618 | + | 2.95537i | 0.0336802 | + | 0.131382i | ||||
\(507\) | −12.6535 | −0.561961 | ||||||||
\(508\) | −14.1870 | − | 25.8525i | −0.629448 | − | 1.14702i | ||||
\(509\) | −29.2971 | −1.29857 | −0.649286 | − | 0.760545i | \(-0.724932\pi\) | ||||
−0.649286 | + | 0.760545i | \(0.724932\pi\) | |||||||
\(510\) | 0.416382 | + | 1.62425i | 0.0184377 | + | 0.0719232i | ||||
\(511\) | −25.7545 | −1.13931 | ||||||||
\(512\) | −14.3638 | − | 17.4838i | −0.634795 | − | 0.772681i | ||||
\(513\) | − | 5.25211i | − | 0.231886i | ||||||
\(514\) | 17.3684 | − | 4.45243i | 0.766086 | − | 0.196388i | ||||
\(515\) | 72.5583 | 3.19730 | ||||||||
\(516\) | −12.0344 | + | 6.60412i | −0.529786 | + | 0.290730i | ||||
\(517\) | − | 44.6391i | − | 1.96323i | ||||||
\(518\) | −5.75212 | + | 1.47457i | −0.252734 | + | 0.0647890i | ||||
\(519\) | 11.2641 | 0.494441 | ||||||||
\(520\) | −4.35798 | + | 4.08311i | −0.191110 | + | 0.179056i | ||||
\(521\) | 38.8819i | 1.70345i | 0.523990 | + | 0.851724i | \(0.324443\pi\) | ||||
−0.523990 | + | 0.851724i | \(0.675557\pi\) | |||||||
\(522\) | −8.09823 | + | 2.07601i | −0.354450 | + | 0.0908643i | ||||
\(523\) | 27.8489i | 1.21775i | 0.793268 | + | 0.608873i | \(0.208378\pi\) | ||||
−0.793268 | + | 0.608873i | \(0.791622\pi\) | |||||||
\(524\) | 19.8956 | + | 36.2550i | 0.869144 | + | 1.58381i | ||||
\(525\) | 32.0420 | 1.39843 | ||||||||
\(526\) | −1.26766 | − | 4.94498i | −0.0552726 | − | 0.215611i | ||||
\(527\) | 1.90071 | 0.0827964 | ||||||||
\(528\) | 9.24260 | − | 14.5154i | 0.402232 | − | 0.631700i | ||||
\(529\) | 22.7485 | 0.989067 | ||||||||
\(530\) | 41.6659 | − | 10.6812i | 1.80985 | − | 0.463960i | ||||
\(531\) | − | 8.93686i | − | 0.387827i | ||||||
\(532\) | 20.5876 | + | 37.5160i | 0.892587 | + | 1.62653i | ||||
\(533\) | −4.14774 | −0.179658 | ||||||||
\(534\) | −25.1088 | + | 6.43671i | −1.08656 | + | 0.278544i | ||||
\(535\) | 18.9750 | 0.820361 | ||||||||
\(536\) | −4.46842 | − | 22.7164i | −0.193006 | − | 0.981198i | ||||
\(537\) | 21.4107 | 0.923940 | ||||||||
\(538\) | 41.5682 | − | 10.6561i | 1.79213 | − | 0.459418i | ||||
\(539\) | −41.2873 | −1.77837 | ||||||||
\(540\) | 3.45114 | + | 6.28888i | 0.148513 | + | 0.270630i | ||||
\(541\) | − | 3.23277i | − | 0.138987i | −0.997582 | − | 0.0694937i | \(-0.977862\pi\) | ||
0.997582 | − | 0.0694937i | \(-0.0221384\pi\) | |||||||
\(542\) | −30.4443 | + | 7.80449i | −1.30770 | + | 0.335231i | ||||
\(543\) | 5.39768 | 0.231636 | ||||||||
\(544\) | 0.581210 | − | 1.77733i | 0.0249192 | − | 0.0762022i | ||||
\(545\) | 22.0067 | 0.942665 | ||||||||
\(546\) | 0.842192 | + | 3.28528i | 0.0360425 | + | 0.140597i | ||||
\(547\) | 1.84336 | 0.0788163 | 0.0394082 | − | 0.999223i | \(-0.487453\pi\) | ||||
0.0394082 | + | 0.999223i | \(0.487453\pi\) | |||||||
\(548\) | −14.0186 | − | 25.5456i | −0.598845 | − | 1.09125i | ||||
\(549\) | − | 6.57062i | − | 0.280427i | ||||||
\(550\) | 46.3524 | − | 11.8826i | 1.97647 | − | 0.506675i | ||||
\(551\) | − | 31.0477i | − | 1.32268i | ||||||
\(552\) | 0.969762 | + | 1.03505i | 0.0412758 | + | 0.0440545i | ||||
\(553\) | −5.84138 | −0.248401 | ||||||||
\(554\) | −4.24388 | + | 1.08793i | −0.180305 | + | 0.0462217i | ||||
\(555\) | − | 3.69678i | − | 0.156920i | ||||||
\(556\) | −31.5420 | + | 17.3093i | −1.33768 | + | 0.734076i | ||||
\(557\) | −6.80158 | −0.288192 | −0.144096 | − | 0.989564i | \(-0.546027\pi\) | ||||
−0.144096 | + | 0.989564i | \(0.546027\pi\) | |||||||
\(558\) | 7.87693 | − | 2.01927i | 0.333457 | − | 0.0854827i | ||||
\(559\) | − | 4.04037i | − | 0.170889i | ||||||
\(560\) | −49.3033 | − | 31.3937i | −2.08344 | − | 1.32662i | ||||
\(561\) | 1.42209 | 0.0600409 | ||||||||
\(562\) | −8.64067 | − | 33.7062i | −0.364485 | − | 1.42181i | ||||
\(563\) | −26.6033 | −1.12119 | −0.560597 | − | 0.828089i | \(-0.689428\pi\) | ||||
−0.560597 | + | 0.828089i | \(0.689428\pi\) | |||||||
\(564\) | −9.98382 | − | 18.1931i | −0.420395 | − | 0.766069i | ||||
\(565\) | 15.8234 | 0.665697 | ||||||||
\(566\) | −10.4788 | − | 40.8763i | −0.440455 | − | 1.71816i | ||||
\(567\) | 4.07396 | 0.171090 | ||||||||
\(568\) | 0.179880 | + | 0.191990i | 0.00754761 | + | 0.00805570i | ||||
\(569\) | −20.2191 | −0.847629 | −0.423814 | − | 0.905749i | \(-0.639309\pi\) | ||||
−0.423814 | + | 0.905749i | \(0.639309\pi\) | |||||||
\(570\) | −25.8068 | + | 6.61565i | −1.08093 | + | 0.277099i | ||||
\(571\) | − | 5.10883i | − | 0.213798i | −0.994270 | − | 0.106899i | \(-0.965908\pi\) | ||
0.994270 | − | 0.106899i | \(-0.0340921\pi\) | |||||||
\(572\) | 2.43665 | + | 4.44022i | 0.101882 | + | 0.185655i | ||||
\(573\) | 4.14224 | 0.173045 | ||||||||
\(574\) | −10.0809 | − | 39.3241i | −0.420767 | − | 1.64136i | ||||
\(575\) | 3.94409i | 0.164480i | ||||||||
\(576\) | 0.520460 | − | 7.98305i | 0.0216858 | − | 0.332627i | ||||
\(577\) | − | 41.9636i | − | 1.74697i | −0.486852 | − | 0.873485i | \(-0.661855\pi\) | ||
0.486852 | − | 0.873485i | \(-0.338145\pi\) | |||||||
\(578\) | −23.1389 | + | 5.93172i | −0.962451 | + | 0.246727i | ||||
\(579\) | −21.8440 | −0.907806 | ||||||||
\(580\) | 20.4014 | + | 37.1766i | 0.847120 | + | 1.54367i | ||||
\(581\) | 51.2267i | 2.12524i | ||||||||
\(582\) | −2.40044 | − | 9.36383i | −0.0995016 | − | 0.388143i | ||||
\(583\) | − | 36.4800i | − | 1.51085i | ||||||
\(584\) | −13.0483 | + | 12.2253i | −0.539941 | + | 0.505886i | ||||
\(585\) | −2.11139 | −0.0872953 | ||||||||
\(586\) | 28.6557 | − | 7.34596i | 1.18375 | − | 0.303459i | ||||
\(587\) | −4.63536 | −0.191322 | −0.0956608 | − | 0.995414i | \(-0.530496\pi\) | ||||
−0.0956608 | + | 0.995414i | \(0.530496\pi\) | |||||||
\(588\) | −16.8270 | + | 9.23416i | −0.693936 | + | 0.380810i | ||||
\(589\) | 30.1993i | 1.24434i | ||||||||
\(590\) | −43.9122 | + | 11.2570i | −1.80784 | + | 0.463444i | ||||
\(591\) | 25.7830i | 1.06057i | ||||||||
\(592\) | −2.21430 | + | 3.47753i | −0.0910072 | + | 0.142926i | ||||
\(593\) | 19.5812i | 0.804105i | 0.915617 | + | 0.402053i | \(0.131703\pi\) | ||||
−0.915617 | + | 0.402053i | \(0.868297\pi\) | |||||||
\(594\) | 5.89344 | − | 1.51080i | 0.241811 | − | 0.0619889i | ||||
\(595\) | − | 4.83032i | − | 0.198024i | ||||||
\(596\) | 31.1613 | − | 17.1003i | 1.27642 | − | 0.700457i | ||||
\(597\) | − | 9.34594i | − | 0.382504i | ||||||
\(598\) | −0.404389 | + | 0.103666i | −0.0165367 | + | 0.00423923i | ||||
\(599\) | −13.4500 | −0.549553 | −0.274776 | − | 0.961508i | \(-0.588604\pi\) | ||||
−0.274776 | + | 0.961508i | \(0.588604\pi\) | |||||||
\(600\) | 16.2338 | − | 15.2099i | 0.662742 | − | 0.620941i | ||||
\(601\) | −14.6596 | −0.597978 | −0.298989 | − | 0.954257i | \(-0.596649\pi\) | ||||
−0.298989 | + | 0.954257i | \(0.596649\pi\) | |||||||
\(602\) | 38.3062 | − | 9.81990i | 1.56124 | − | 0.400229i | ||||
\(603\) | 4.33838 | − | 6.94107i | 0.176673 | − | 0.282662i | ||||
\(604\) | 2.66370 | + | 4.85396i | 0.108385 | + | 0.197505i | ||||
\(605\) | − | 26.9282i | − | 1.09479i | ||||||
\(606\) | −2.17051 | − | 8.46688i | −0.0881709 | − | 0.343943i | ||||
\(607\) | − | 25.3724i | − | 1.02983i | −0.857241 | − | 0.514916i | \(-0.827823\pi\) | ||
0.857241 | − | 0.514916i | \(-0.172177\pi\) | |||||||
\(608\) | 28.2389 | + | 9.23450i | 1.14524 | + | 0.374508i | ||||
\(609\) | 24.0831 | 0.975897 | ||||||||
\(610\) | −32.2855 | + | 8.27647i | −1.30720 | + | 0.335104i | ||||
\(611\) | 6.10806 | 0.247106 | ||||||||
\(612\) | 0.579589 | − | 0.318061i | 0.0234285 | − | 0.0128568i | ||||
\(613\) | 25.1012 | 1.01383 | 0.506914 | − | 0.861997i | \(-0.330786\pi\) | ||||
0.506914 | + | 0.861997i | \(0.330786\pi\) | |||||||
\(614\) | 4.05049 | + | 15.8004i | 0.163464 | + | 0.637654i | ||||
\(615\) | 25.2729 | 1.01910 | ||||||||
\(616\) | −36.1749 | + | 33.8933i | −1.45753 | + | 1.36560i | ||||
\(617\) | −44.8891 | −1.80717 | −0.903583 | − | 0.428413i | \(-0.859073\pi\) | ||||
−0.903583 | + | 0.428413i | \(0.859073\pi\) | |||||||
\(618\) | −7.10416 | − | 27.7124i | −0.285771 | − | 1.11476i | ||||
\(619\) | − | 24.7139i | − | 0.993337i | −0.867940 | − | 0.496669i | \(-0.834556\pi\) | ||
0.867940 | − | 0.496669i | \(-0.165444\pi\) | |||||||
\(620\) | −19.8438 | − | 36.1606i | −0.796948 | − | 1.45225i | ||||
\(621\) | 0.501468i | 0.0201232i | ||||||||
\(622\) | 16.8436 | − | 4.31791i | 0.675368 | − | 0.173133i | ||||
\(623\) | 74.6704 | 2.99161 | ||||||||
\(624\) | 1.98617 | + | 1.26468i | 0.0795103 | + | 0.0506278i | ||||
\(625\) | −2.46584 | −0.0986335 | ||||||||
\(626\) | −1.89500 | − | 7.39216i | −0.0757394 | − | 0.295450i | ||||
\(627\) | 22.5948i | 0.902350i | ||||||||
\(628\) | 12.4414 | − | 6.82746i | 0.496467 | − | 0.272446i | ||||
\(629\) | −0.340699 | −0.0135846 | ||||||||
\(630\) | −5.13163 | − | 20.0178i | −0.204449 | − | 0.797529i | ||||
\(631\) | −12.7802 | −0.508770 | −0.254385 | − | 0.967103i | \(-0.581873\pi\) | ||||
−0.254385 | + | 0.967103i | \(0.581873\pi\) | |||||||
\(632\) | −2.95948 | + | 2.77282i | −0.117722 | + | 0.110297i | ||||
\(633\) | 3.95038i | 0.157013i | ||||||||
\(634\) | −22.0978 | + | 5.66484i | −0.877617 | + | 0.224980i | ||||
\(635\) | −52.8862 | −2.09872 | ||||||||
\(636\) | −8.15898 | − | 14.8678i | −0.323525 | − | 0.589546i | ||||
\(637\) | − | 5.64942i | − | 0.223838i | ||||||
\(638\) | 34.8390 | − | 8.93107i | 1.37929 | − | 0.353584i | ||||
\(639\) | 0.0930167i | 0.00367968i | ||||||||
\(640\) | −39.8812 | + | 7.49826i | −1.57644 | + | 0.296395i | ||||
\(641\) | 37.4738i | 1.48012i | 0.672538 | + | 0.740062i | \(0.265204\pi\) | ||||
−0.672538 | + | 0.740062i | \(0.734796\pi\) | |||||||
\(642\) | −1.85784 | − | 7.24719i | −0.0733230 | − | 0.286024i | ||||
\(643\) | − | 39.8345i | − | 1.57092i | −0.618914 | − | 0.785459i | \(-0.712427\pi\) | ||
0.618914 | − | 0.785459i | \(-0.287573\pi\) | |||||||
\(644\) | −1.96569 | − | 3.58200i | −0.0774591 | − | 0.141151i | ||||
\(645\) | 24.6187i | 0.969360i | ||||||||
\(646\) | 0.609705 | + | 2.37838i | 0.0239885 | + | 0.0935762i | ||||
\(647\) | −15.4857 | −0.608807 | −0.304403 | − | 0.952543i | \(-0.598457\pi\) | ||||
−0.304403 | + | 0.952543i | \(0.598457\pi\) | |||||||
\(648\) | 2.06403 | − | 1.93385i | 0.0810829 | − | 0.0759687i | ||||
\(649\) | 38.4468i | 1.50917i | ||||||||
\(650\) | 1.62592 | + | 6.34249i | 0.0637737 | + | 0.248773i | ||||
\(651\) | −23.4250 | −0.918098 | ||||||||
\(652\) | −4.78781 | − | 8.72464i | −0.187505 | − | 0.341683i | ||||
\(653\) | − | 12.2344i | − | 0.478770i | −0.970925 | − | 0.239385i | \(-0.923054\pi\) | ||
0.970925 | − | 0.239385i | \(-0.0769457\pi\) | |||||||
\(654\) | −2.15467 | − | 8.40511i | −0.0842544 | − | 0.328666i | ||||
\(655\) | 74.1665 | 2.89792 | ||||||||
\(656\) | −23.7740 | − | 15.1380i | −0.928218 | − | 0.591038i | ||||
\(657\) | −6.32174 | −0.246634 | ||||||||
\(658\) | 14.8453 | + | 57.9097i | 0.578730 | + | 2.25755i | ||||
\(659\) | − | 27.8274i | − | 1.08400i | −0.840377 | − | 0.542002i | \(-0.817667\pi\) | ||
0.840377 | − | 0.542002i | \(-0.182333\pi\) | |||||||
\(660\) | −14.8470 | − | 27.0550i | −0.577917 | − | 1.05312i | ||||
\(661\) | 6.59513i | 0.256521i | 0.991741 | + | 0.128260i | \(0.0409393\pi\) | ||||
−0.991741 | + | 0.128260i | \(0.959061\pi\) | |||||||
\(662\) | 17.3071 | − | 4.43672i | 0.672659 | − | 0.172438i | ||||
\(663\) | 0.194588i | 0.00755717i | ||||||||
\(664\) | 24.3166 | + | 25.9536i | 0.943667 | + | 1.00719i | ||||
\(665\) | 76.7462 | 2.97609 | ||||||||
\(666\) | −1.41193 | + | 0.361951i | −0.0547110 | + | 0.0140253i | ||||
\(667\) | 2.96442i | 0.114783i | ||||||||
\(668\) | 4.82877 | + | 8.79928i | 0.186831 | + | 0.340454i | ||||
\(669\) | − | 2.38734i | − | 0.0922999i | ||||||
\(670\) | −39.5704 | − | 12.5740i | −1.52874 | − | 0.485777i | ||||
\(671\) | 28.2671i | 1.09124i | ||||||||
\(672\) | −7.16301 | + | 21.9043i | −0.276319 | + | 0.844977i | ||||
\(673\) | 18.4436i | 0.710947i | 0.934686 | + | 0.355474i | \(0.115680\pi\) | ||||
−0.934686 | + | 0.355474i | \(0.884320\pi\) | |||||||
\(674\) | 5.91503 | + | 23.0738i | 0.227839 | + | 0.888770i | ||||
\(675\) | 7.86509 | 0.302727 | ||||||||
\(676\) | 22.1859 | − | 12.1749i | 0.853303 | − | 0.468266i | ||||
\(677\) | 1.22827i | 0.0472061i | 0.999721 | + | 0.0236030i | \(0.00751378\pi\) | ||||
−0.999721 | + | 0.0236030i | \(0.992486\pi\) | |||||||
\(678\) | −1.54927 | − | 6.04350i | −0.0594993 | − | 0.232099i | ||||
\(679\) | 27.8468i | 1.06866i | ||||||||
\(680\) | −2.29289 | − | 2.44724i | −0.0879282 | − | 0.0938473i | ||||
\(681\) | 6.93501i | 0.265750i | ||||||||
\(682\) | −33.8869 | + | 8.68701i | −1.29760 | + | 0.332643i | ||||
\(683\) | −10.5079 | −0.402072 | −0.201036 | − | 0.979584i | \(-0.564431\pi\) | ||||
−0.201036 | + | 0.979584i | \(0.564431\pi\) | |||||||
\(684\) | 5.05348 | + | 9.20875i | 0.193224 | + | 0.352105i | ||||
\(685\) | −52.2583 | −1.99669 | ||||||||
\(686\) | 14.4945 | − | 3.71571i | 0.553402 | − | 0.141866i | ||||
\(687\) | − | 24.0931i | − | 0.919210i | ||||||
\(688\) | 14.7461 | − | 23.1586i | 0.562190 | − | 0.882912i | ||||
\(689\) | 4.99163 | 0.190166 | ||||||||
\(690\) | 2.46402 | − | 0.631657i | 0.0938035 | − | 0.0240468i | ||||
\(691\) | 17.2718i | 0.657048i | 0.944496 | + | 0.328524i | \(0.106551\pi\) | ||||
−0.944496 | + | 0.328524i | \(0.893449\pi\) | |||||||
\(692\) | −19.7499 | + | 10.8381i | −0.750779 | + | 0.412004i | ||||
\(693\) | −17.5263 | −0.665771 | ||||||||
\(694\) | 4.72054 | − | 1.21012i | 0.179189 | − | 0.0459357i | ||||
\(695\) | 64.5251i | 2.44758i | ||||||||
\(696\) | 12.2015 | − | 11.4319i | 0.462496 | − | 0.433325i | ||||
\(697\) | − | 2.32918i | − | 0.0882238i | ||||||
\(698\) | −6.12124 | + | 1.56920i | −0.231692 | + | 0.0593950i | ||||
\(699\) | − | 15.1293i | − | 0.572242i | ||||||
\(700\) | −56.1806 | + | 30.8302i | −2.12343 | + | 1.16527i | ||||
\(701\) | 3.01308i | 0.113803i | 0.998380 | + | 0.0569013i | \(0.0181220\pi\) | ||||
−0.998380 | + | 0.0569013i | \(0.981878\pi\) | |||||||
\(702\) | 0.206726 | + | 0.806411i | 0.00780236 | + | 0.0304360i | ||||
\(703\) | − | 5.41317i | − | 0.204161i | ||||||
\(704\) | −2.23904 | + | 34.3434i | −0.0843870 | + | 1.29437i | ||||
\(705\) | −37.2175 | −1.40169 | ||||||||
\(706\) | 1.60171 | + | 6.24808i | 0.0602813 | + | 0.235150i | ||||
\(707\) | 25.1794i | 0.946969i | ||||||||
\(708\) | 8.59887 | + | 15.6694i | 0.323165 | + | 0.588891i | ||||
\(709\) | 18.5087 | 0.695110 | 0.347555 | − | 0.937660i | \(-0.387012\pi\) | ||||
0.347555 | + | 0.937660i | \(0.387012\pi\) | |||||||
\(710\) | 0.457048 | − | 0.117165i | 0.0171527 | − | 0.00439714i | ||||
\(711\) | −1.43384 | −0.0537730 | ||||||||
\(712\) | 37.8311 | − | 35.4450i | 1.41778 | − | 1.32836i | ||||
\(713\) | − | 2.88341i | − | 0.107984i | ||||||
\(714\) | −1.84486 | + | 0.472936i | −0.0690423 | + | 0.0176992i | ||||
\(715\) | 9.08330 | 0.339696 | ||||||||
\(716\) | −37.5403 | + | 20.6010i | −1.40295 | + | 0.769894i | ||||
\(717\) | 11.1501 | 0.416407 | ||||||||
\(718\) | −7.28949 | − | 28.4354i | −0.272041 | − | 1.06120i | ||||
\(719\) | 43.2229i | 1.61194i | 0.591955 | + | 0.805971i | \(0.298356\pi\) | ||||
−0.591955 | + | 0.805971i | \(0.701644\pi\) | |||||||
\(720\) | −12.1021 | − | 7.70594i | −0.451017 | − | 0.287183i | ||||
\(721\) | 82.4132i | 3.06923i | ||||||||
\(722\) | −11.7603 | + | 3.01478i | −0.437672 | + | 0.112198i | ||||
\(723\) | 26.2380 | 0.975801 | ||||||||
\(724\) | −9.46398 | + | 5.19354i | −0.351726 | + | 0.193016i | ||||
\(725\) | 46.4943 | 1.72676 | ||||||||
\(726\) | −10.2848 | + | 2.63653i | −0.381704 | + | 0.0978508i | ||||
\(727\) | −17.3390 | −0.643068 | −0.321534 | − | 0.946898i | \(-0.604199\pi\) | ||||
−0.321534 | + | 0.946898i | \(0.604199\pi\) | |||||||
\(728\) | −4.63769 | − | 4.94989i | −0.171884 | − | 0.183455i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 7.96297 | + | 31.0625i | 0.294723 | + | 1.14968i | ||||
\(731\) | 2.26888 | 0.0839177 | ||||||||
\(732\) | 6.32212 | + | 11.5206i | 0.233672 | + | 0.425812i | ||||
\(733\) | − | 29.9866i | − | 1.10758i | −0.832656 | − | 0.553790i | \(-0.813181\pi\) | ||
0.832656 | − | 0.553790i | \(-0.186819\pi\) | |||||||
\(734\) | −7.21546 | + | 1.84970i | −0.266327 | + | 0.0682738i | ||||
\(735\) | 34.4229i | 1.26971i | ||||||||
\(736\) | −2.69623 | − | 0.881703i | −0.0993842 | − | 0.0325000i | ||||
\(737\) | −18.6639 | + | 29.8608i | −0.687494 | + | 1.09994i | ||||
\(738\) | −2.47446 | − | 9.65256i | −0.0910862 | − | 0.355316i | ||||
\(739\) | 44.1171 | 1.62287 | 0.811436 | − | 0.584441i | \(-0.198686\pi\) | ||||
0.811436 | + | 0.584441i | \(0.198686\pi\) | |||||||
\(740\) | 3.55697 | + | 6.48173i | 0.130757 | + | 0.238273i | ||||
\(741\) | −3.09169 | −0.113576 | ||||||||
\(742\) | 12.1319 | + | 47.3250i | 0.445376 | + | 1.73735i | ||||
\(743\) | − | 4.71118i | − | 0.172836i | −0.996259 | − | 0.0864182i | \(-0.972458\pi\) | ||
0.996259 | − | 0.0864182i | \(-0.0275421\pi\) | |||||||
\(744\) | −11.8681 | + | 11.1195i | −0.435104 | + | 0.407661i | ||||
\(745\) | − | 63.7463i | − | 2.33548i | ||||||
\(746\) | −5.12574 | − | 19.9949i | −0.187667 | − | 0.732064i | ||||
\(747\) | 12.5742i | 0.460066i | ||||||||
\(748\) | −2.49342 | + | 1.36831i | −0.0911684 | + | 0.0500304i | ||||
\(749\) | 21.5522i | 0.787501i | ||||||||
\(750\) | −3.60891 | − | 14.0779i | −0.131779 | − | 0.514053i | ||||
\(751\) | 6.08768i | 0.222143i | 0.993812 | + | 0.111071i | \(0.0354282\pi\) | ||||
−0.993812 | + | 0.111071i | \(0.964572\pi\) | |||||||
\(752\) | 35.0101 | + | 22.2925i | 1.27669 | + | 0.812925i | ||||
\(753\) | −23.7883 | −0.866894 | ||||||||
\(754\) | 1.22206 | + | 4.76708i | 0.0445046 | + | 0.173607i | ||||
\(755\) | 9.92970 | 0.361379 | ||||||||
\(756\) | −7.14304 | + | 3.91988i | −0.259790 | + | 0.142565i | ||||
\(757\) | − | 51.7396i | − | 1.88051i | −0.340474 | − | 0.940254i | \(-0.610588\pi\) | ||
0.340474 | − | 0.940254i | \(-0.389412\pi\) | |||||||
\(758\) | −35.9572 | + | 9.21773i | −1.30602 | + | 0.334803i | ||||
\(759\) | − | 2.15734i | − | 0.0783063i | ||||||
\(760\) | 38.8827 | − | 36.4303i | 1.41042 | − | 1.32147i | ||||
\(761\) | 34.7942 | 1.26129 | 0.630645 | − | 0.776071i | \(-0.282790\pi\) | ||||
0.630645 | + | 0.776071i | \(0.282790\pi\) | |||||||
\(762\) | 5.17807 | + | 20.1990i | 0.187582 | + | 0.731732i | ||||
\(763\) | 24.9957i | 0.904906i | ||||||||
\(764\) | −7.26276 | + | 3.98558i | −0.262758 | + | 0.144193i | ||||
\(765\) | − | 1.18566i | − | 0.0428676i | ||||||
\(766\) | −29.3352 | + | 7.52016i | −1.05992 | + | 0.271714i | ||||
\(767\) | −5.26075 | −0.189955 | ||||||||
\(768\) | 6.76859 | + | 14.4978i | 0.244240 | + | 0.523144i | ||||
\(769\) | 13.9823i | 0.504215i | 0.967699 | + | 0.252107i | \(0.0811236\pi\) | ||||
−0.967699 | + | 0.252107i | \(0.918876\pi\) | |||||||
\(770\) | 22.0765 | + | 86.1176i | 0.795581 | + | 3.10346i | ||||
\(771\) | −12.6784 | −0.456602 | ||||||||
\(772\) | 38.3000 | − | 21.0179i | 1.37845 | − | 0.756450i | ||||
\(773\) | −30.5293 | −1.09806 | −0.549032 | − | 0.835802i | \(-0.685003\pi\) | ||||
−0.549032 | + | 0.835802i | \(0.685003\pi\) | |||||||
\(774\) | 9.40270 | − | 2.41041i | 0.337973 | − | 0.0866404i | ||||
\(775\) | −45.2237 | −1.62448 | ||||||||
\(776\) | 13.2185 | + | 14.1083i | 0.474516 | + | 0.506460i | ||||
\(777\) | 4.19889 | 0.150634 | ||||||||
\(778\) | 5.36624 | − | 1.37565i | 0.192389 | − | 0.0493195i | ||||
\(779\) | 37.0069 | 1.32591 | ||||||||
\(780\) | 3.70199 | − | 2.03154i | 0.132553 | − | 0.0727408i | ||||
\(781\) | − | 0.400162i | − | 0.0143189i | ||||||
\(782\) | −0.0582142 | − | 0.227086i | −0.00208173 | − | 0.00812058i | ||||
\(783\) | 5.91148 | 0.211259 | ||||||||
\(784\) | 20.6186 | − | 32.3813i | 0.736380 | − | 1.15647i | ||||
\(785\) | − | 25.4513i | − | 0.908395i | ||||||
\(786\) | −7.26162 | − | 28.3267i | −0.259013 | − | 1.01038i | ||||
\(787\) | 33.9549 | 1.21036 | 0.605181 | − | 0.796088i | \(-0.293101\pi\) | ||||
0.605181 | + | 0.796088i | \(0.293101\pi\) | |||||||
\(788\) | −24.8079 | − | 45.2064i | −0.883744 | − | 1.61041i | ||||
\(789\) | 3.60969i | 0.128509i | ||||||||
\(790\) | 1.80608 | + | 7.04531i | 0.0642576 | + | 0.250661i | ||||
\(791\) | 17.9726i | 0.639032i | ||||||||
\(792\) | −8.87956 | + | 8.31950i | −0.315521 | + | 0.295621i | ||||
\(793\) | −3.86784 | −0.137351 | ||||||||
\(794\) | −11.9389 | + | 3.06057i | −0.423695 | + | 0.108615i | ||||
\(795\) | −30.4149 | −1.07870 | ||||||||
\(796\) | 8.99248 | + | 16.3866i | 0.318730 | + | 0.580809i | ||||
\(797\) | 32.1827 | 1.13997 | 0.569984 | − | 0.821656i | \(-0.306949\pi\) | ||||
0.569984 | + | 0.821656i | \(0.306949\pi\) | |||||||
\(798\) | −7.51420 | − | 29.3119i | −0.266000 | − | 1.03763i | ||||
\(799\) | 3.43000i | 0.121345i | ||||||||
\(800\) | −13.8288 | + | 42.2880i | −0.488920 | + | 1.49511i | ||||
\(801\) | 18.3287 | 0.647613 | ||||||||
\(802\) | −5.91224 | − | 23.0629i | −0.208769 | − | 0.814380i | ||||
\(803\) | 27.1964 | 0.959740 | ||||||||
\(804\) | −0.928110 | + | 16.3444i | −0.0327319 | + | 0.576422i | ||||
\(805\) | −7.32767 | −0.258266 | ||||||||
\(806\) | −1.18866 | − | 4.63681i | −0.0418688 | − | 0.163325i | ||||
\(807\) | −30.3436 | −1.06815 | ||||||||
\(808\) | 11.9523 | + | 12.7569i | 0.420481 | + | 0.448787i | ||||
\(809\) | − | 12.0201i | − | 0.422603i | −0.977421 | − | 0.211301i | \(-0.932230\pi\) | ||
0.977421 | − | 0.211301i | \(-0.0677701\pi\) | |||||||
\(810\) | −1.25962 | − | 4.91361i | −0.0442584 | − | 0.172647i | ||||
\(811\) | 35.4343 | 1.24427 | 0.622134 | − | 0.782911i | \(-0.286266\pi\) | ||||
0.622134 | + | 0.782911i | \(0.286266\pi\) | |||||||
\(812\) | −42.2259 | + | 23.1723i | −1.48184 | + | 0.813188i | ||||
\(813\) | 22.2235 | 0.779412 | ||||||||
\(814\) | 6.07417 | − | 1.55713i | 0.212899 | − | 0.0545774i | ||||
\(815\) | −17.8479 | −0.625184 | ||||||||
\(816\) | −0.710187 | + | 1.11534i | −0.0248615 | + | 0.0390447i | ||||
\(817\) | 36.0489i | 1.26119i | ||||||||
\(818\) | −4.97187 | − | 19.3946i | −0.173837 | − | 0.678117i | ||||
\(819\) | − | 2.39816i | − | 0.0837986i | ||||||
\(820\) | −44.3120 | + | 24.3171i | −1.54744 | + | 0.849189i | ||||
\(821\) | 28.5475 | 0.996315 | 0.498158 | − | 0.867087i | \(-0.334010\pi\) | ||||
0.498158 | + | 0.867087i | \(0.334010\pi\) | |||||||
\(822\) | 5.11659 | + | 19.9592i | 0.178462 | + | 0.696156i | ||||
\(823\) | − | 15.3351i | − | 0.534547i | −0.963621 | − | 0.267274i | \(-0.913877\pi\) | ||
0.963621 | − | 0.267274i | \(-0.0861227\pi\) | |||||||
\(824\) | 39.1204 | + | 41.7539i | 1.36282 | + | 1.45457i | ||||
\(825\) | −33.8360 | −1.17802 | ||||||||
\(826\) | −12.7860 | − | 49.8765i | −0.444881 | − | 1.73542i | ||||
\(827\) | − | 1.55290i | − | 0.0539996i | −0.999635 | − | 0.0269998i | \(-0.991405\pi\) | ||
0.999635 | − | 0.0269998i | \(-0.00859535\pi\) | |||||||
\(828\) | −0.482502 | − | 0.879244i | −0.0167681 | − | 0.0305559i | ||||
\(829\) | −30.2144 | −1.04939 | −0.524694 | − | 0.851291i | \(-0.675820\pi\) | ||||
−0.524694 | + | 0.851291i | \(0.675820\pi\) | |||||||
\(830\) | 61.7847 | − | 15.8387i | 2.14458 | − | 0.549769i | ||||
\(831\) | 3.09791 | 0.107465 | ||||||||
\(832\) | −4.69928 | − | 0.306372i | −0.162918 | − | 0.0106215i | ||||
\(833\) | 3.17245 | 0.109919 | ||||||||
\(834\) | 24.6443 | − | 6.31764i | 0.853362 | − | 0.218762i | ||||
\(835\) | 18.0006 | 0.622936 | ||||||||
\(836\) | −21.7403 | − | 39.6164i | −0.751903 | − | 1.37016i | ||||
\(837\) | −5.74994 | −0.198747 | ||||||||
\(838\) | 8.68630 | + | 33.8842i | 0.300063 | + | 1.17051i | ||||
\(839\) | − | 34.8729i | − | 1.20395i | −0.798516 | − | 0.601973i | \(-0.794381\pi\) | ||
0.798516 | − | 0.601973i | \(-0.205619\pi\) | |||||||
\(840\) | 28.2582 | + | 30.1606i | 0.975002 | + | 1.04064i | ||||
\(841\) | 5.94559 | 0.205021 | ||||||||
\(842\) | 0.118280 | − | 0.0303214i | 0.00407620 | − | 0.00104495i | ||||
\(843\) | 24.6045i | 0.847425i | ||||||||
\(844\) | −3.80098 | − | 6.92637i | −0.130835 | − | 0.238415i | ||||
\(845\) | − | 45.3854i | − | 1.56131i | ||||||
\(846\) | 3.64395 | + | 14.2146i | 0.125282 | + | 0.488708i | ||||
\(847\) | 30.5856 | 1.05093 | ||||||||
\(848\) | 28.6110 | + | 18.2179i | 0.982505 | + | 0.625606i | ||||
\(849\) | 29.8385i | 1.02406i | ||||||||
\(850\) | −3.56165 | + | 0.913039i | −0.122164 | + | 0.0313170i | ||||
\(851\) | 0.516845i | 0.0177172i | ||||||||
\(852\) | −0.0894988 | − | 0.163090i | −0.00306618 | − | 0.00558738i | ||||
\(853\) | −41.3510 | −1.41583 | −0.707915 | − | 0.706298i | \(-0.750364\pi\) | ||||
−0.707915 | + | 0.706298i | \(0.750364\pi\) | |||||||
\(854\) | −9.40059 | − | 36.6705i | −0.321682 | − | 1.25484i | ||||
\(855\) | 18.8382 | 0.644254 | ||||||||
\(856\) | 10.2305 | + | 10.9192i | 0.349672 | + | 0.373211i | ||||
\(857\) | 4.29679i | 0.146776i | 0.997303 | + | 0.0733878i | \(0.0233811\pi\) | ||||
−0.997303 | + | 0.0733878i | \(0.976619\pi\) | |||||||
\(858\) | −0.889344 | − | 3.46922i | −0.0303617 | − | 0.118437i | ||||
\(859\) | 22.0910i | 0.753737i | 0.926267 | + | 0.376868i | \(0.122999\pi\) | ||||
−0.926267 | + | 0.376868i | \(0.877001\pi\) | |||||||
\(860\) | −23.6876 | − | 43.1650i | −0.807741 | − | 1.47191i | ||||
\(861\) | 28.7055i | 0.978281i | ||||||||
\(862\) | 4.69056 | + | 18.2973i | 0.159761 | + | 0.623208i | ||||
\(863\) | 33.9503i | 1.15568i | 0.816150 | + | 0.577840i | \(0.196104\pi\) | ||||
−0.816150 | + | 0.577840i | \(0.803896\pi\) | |||||||
\(864\) | −1.75825 | + | 5.37667i | −0.0598167 | + | 0.182918i | ||||
\(865\) | 40.4022i | 1.37371i | ||||||||
\(866\) | −0.353198 | − | 1.37778i | −0.0120022 | − | 0.0468189i | ||||
\(867\) | 16.8907 | 0.573639 | ||||||||
\(868\) | 41.0720 | − | 22.5391i | 1.39408 | − | 0.765025i | ||||
\(869\) | 6.16842 | 0.209249 | ||||||||
\(870\) | −7.44620 | − | 29.0467i | −0.252450 | − | 0.984775i | ||||
\(871\) | −4.08591 | − | 2.55382i | −0.138446 | − | 0.0865329i | ||||
\(872\) | 11.8651 | + | 12.6639i | 0.401803 | + | 0.428852i | ||||
\(873\) | 6.83533i | 0.231341i | ||||||||
\(874\) | 3.60804 | − | 0.924930i | 0.122044 | − | 0.0312862i | ||||
\(875\) | 41.8659i | 1.41533i | ||||||||
\(876\) | 11.0842 | − | 6.08265i | 0.374499 | − | 0.205514i | ||||
\(877\) | −22.8342 | −0.771056 | −0.385528 | − | 0.922696i | \(-0.625981\pi\) | ||||
−0.385528 | + | 0.922696i | \(0.625981\pi\) | |||||||
\(878\) | 9.05962 | + | 35.3404i | 0.305747 | + | 1.19268i | ||||
\(879\) | −20.9178 | −0.705540 | ||||||||
\(880\) | 52.0636 | + | 33.1513i | 1.75506 | + | 1.11753i | ||||
\(881\) | 28.1854 | 0.949589 | 0.474794 | − | 0.880097i | \(-0.342522\pi\) | ||||
0.474794 | + | 0.880097i | \(0.342522\pi\) | |||||||
\(882\) | 13.1473 | − | 3.37034i | 0.442691 | − | 0.113485i | ||||
\(883\) | −13.3791 | −0.450244 | −0.225122 | − | 0.974331i | \(-0.572278\pi\) | ||||
−0.225122 | + | 0.974331i | \(0.572278\pi\) | |||||||
\(884\) | −0.187229 | − | 0.341179i | −0.00629718 | − | 0.0114751i | ||||
\(885\) | 32.0547 | 1.07751 | ||||||||
\(886\) | 9.49524 | − | 2.43413i | 0.318999 | − | 0.0817762i | ||||
\(887\) | − | 7.84788i | − | 0.263506i | −0.991283 | − | 0.131753i | \(-0.957939\pi\) | ||
0.991283 | − | 0.131753i | \(-0.0420606\pi\) | |||||||
\(888\) | 2.12733 | − | 1.99315i | 0.0713884 | − | 0.0668857i | ||||
\(889\) | − | 60.0692i | − | 2.01466i | ||||||
\(890\) | −23.0872 | − | 90.0601i | −0.773884 | − | 3.01882i | ||||
\(891\) | −4.30204 | −0.144124 | ||||||||
\(892\) | 2.29705 | + | 4.18583i | 0.0769110 | + | 0.140152i | ||||
\(893\) | −54.4972 | −1.82368 | ||||||||
\(894\) | −24.3468 | + | 6.24138i | −0.814280 | + | 0.208743i | ||||
\(895\) | 76.7958i | 2.56700i | ||||||||
\(896\) | −8.51668 | − | 45.2979i | −0.284522 | − | 1.51330i | ||||
\(897\) | 0.295193 | 0.00985619 | ||||||||
\(898\) | −38.4138 | + | 9.84748i | −1.28188 | + | 0.328615i | ||||
\(899\) | −33.9906 | −1.13365 | ||||||||
\(900\) | −13.7902 | + | 7.56763i | −0.459673 | + | 0.252254i | ||||
\(901\) | 2.80307i | 0.0933837i | ||||||||
\(902\) | 10.6452 | + | 41.5258i | 0.354448 | + | 1.38266i | ||||
\(903\) | −27.9624 | −0.930531 | ||||||||
\(904\) | 8.53133 | + | 9.10565i | 0.283748 | + | 0.302849i | ||||
\(905\) | 19.3604i | 0.643560i | ||||||||
\(906\) | −0.972214 | − | 3.79248i | −0.0322996 | − | 0.125997i | ||||
\(907\) | − | 47.9436i | − | 1.59194i | −0.605335 | − | 0.795971i | \(-0.706961\pi\) | ||
0.605335 | − | 0.795971i | \(-0.293039\pi\) | |||||||
\(908\) | −6.67272 | − | 12.1594i | −0.221442 | − | 0.403525i | ||||
\(909\) | 6.18058i | 0.204997i | ||||||||
\(910\) | −11.7836 | + | 3.02077i | −0.390624 | + | 0.100138i | ||||
\(911\) | 8.66214i | 0.286989i | 0.989651 | + | 0.143495i | \(0.0458340\pi\) | ||||
−0.989651 | + | 0.143495i | \(0.954166\pi\) | |||||||
\(912\) | −17.7209 | − | 11.2837i | −0.586799 | − | 0.373642i | ||||
\(913\) | − | 54.0948i | − | 1.79028i | ||||||
\(914\) | −24.2488 | + | 6.21626i | −0.802080 | + | 0.205616i | ||||
\(915\) | 23.5675 | 0.779116 | ||||||||
\(916\) | 23.1819 | + | 42.2435i | 0.765952 | + | 1.39576i | ||||
\(917\) | 84.2399i | 2.78185i | ||||||||
\(918\) | −0.452843 | + | 0.116088i | −0.0149460 | + | 0.00383146i | ||||
\(919\) | 17.1301 | 0.565068 | 0.282534 | − | 0.959257i | \(-0.408825\pi\) | ||||
0.282534 | + | 0.959257i | \(0.408825\pi\) | |||||||
\(920\) | −3.71249 | + | 3.47834i | −0.122397 | + | 0.114677i | ||||
\(921\) | − | 11.5339i | − | 0.380054i | ||||||
\(922\) | −34.9896 | + | 8.96967i | −1.15232 | + | 0.295401i | ||||
\(923\) | 0.0547550 | 0.00180228 | ||||||||
\(924\) | 30.7297 | − | 16.8635i | 1.01093 | − | 0.554768i | ||||
\(925\) | 8.10627 | 0.266533 | ||||||||
\(926\) | −40.5899 | + | 10.4053i | −1.33387 | + | 0.341941i | ||||
\(927\) | 20.2293i | 0.664417i | ||||||||
\(928\) | −10.3938 | + | 31.7841i | −0.341194 | + | 1.04336i | ||||
\(929\) | − | 30.7136i | − | 1.00768i | −0.863797 | − | 0.503840i | \(-0.831920\pi\) | ||
0.863797 | − | 0.503840i | \(-0.168080\pi\) | |||||||
\(930\) | 7.24272 | + | 28.2529i | 0.237498 | + | 0.926450i | ||||
\(931\) | 50.4052i | 1.65196i | ||||||||
\(932\) | 14.5571 | + | 26.5268i | 0.476833 | + | 0.868914i | ||||
\(933\) | −12.2954 | −0.402532 | ||||||||
\(934\) | 0.646133 | + | 2.52048i | 0.0211421 | + | 0.0824727i | ||||
\(935\) | 5.10076i | 0.166813i | ||||||||
\(936\) | −1.13837 | − | 1.21501i | −0.0372089 | − | 0.0397138i | ||||
\(937\) | − | 46.1729i | − | 1.50840i | −0.656644 | − | 0.754201i | \(-0.728025\pi\) | ||
0.656644 | − | 0.754201i | \(-0.271975\pi\) | |||||||
\(938\) | 14.2818 | − | 44.9449i | 0.466318 | − | 1.46750i | ||||
\(939\) | 5.39606i | 0.176094i | ||||||||
\(940\) | 65.2550 | − | 35.8099i | 2.12838 | − | 1.16799i | ||||
\(941\) | 20.1335i | 0.656334i | 0.944620 | + | 0.328167i | \(0.106431\pi\) | ||||
−0.944620 | + | 0.328167i | \(0.893569\pi\) | |||||||
\(942\) | −9.72069 | + | 2.49193i | −0.316717 | + | 0.0811914i | ||||
\(943\) | −3.53339 | −0.115063 | ||||||||
\(944\) | −30.1535 | − | 19.2001i | −0.981414 | − | 0.624911i | ||||
\(945\) | 14.6124i | 0.475343i | ||||||||
\(946\) | −40.4508 | + | 10.3697i | −1.31517 | + | 0.337148i | ||||
\(947\) | 18.1280i | 0.589080i | 0.955639 | + | 0.294540i | \(0.0951664\pi\) | ||||
−0.955639 | + | 0.294540i | \(0.904834\pi\) | |||||||
\(948\) | 2.51400 | − | 1.37961i | 0.0816511 | − | 0.0448076i | ||||
\(949\) | 3.72134i | 0.120800i | ||||||||
\(950\) | −14.5067 | − | 56.5889i | −0.470661 | − | 1.83599i | ||||
\(951\) | 16.1308 | 0.523076 | ||||||||
\(952\) | 2.77963 | − | 2.60431i | 0.0900882 | − | 0.0844061i | ||||
\(953\) | 4.71685 | 0.152794 | 0.0763968 | − | 0.997077i | \(-0.475658\pi\) | ||||
0.0763968 | + | 0.997077i | \(0.475658\pi\) | |||||||
\(954\) | 2.97791 | + | 11.6165i | 0.0964135 | + | 0.376097i | ||||
\(955\) | 14.8574i | 0.480773i | ||||||||
\(956\) | −19.5499 | + | 10.7284i | −0.632288 | + | 0.346980i | ||||
\(957\) | −25.4315 | −0.822082 | ||||||||
\(958\) | −10.4419 | − | 40.7325i | −0.337362 | − | 1.31601i | ||||
\(959\) | − | 59.3561i | − | 1.91671i | ||||||
\(960\) | 28.6336 | + | 1.86678i | 0.924144 | + | 0.0602501i | ||||
\(961\) | 2.06176 | 0.0665084 | ||||||||
\(962\) | 0.213065 | + | 0.831140i | 0.00686949 | + | 0.0267970i | ||||
\(963\) | 5.29024i | 0.170476i | ||||||||
\(964\) | −46.0041 | + | 25.2456i | −1.48169 | + | 0.813108i | ||||
\(965\) | − | 78.3499i | − | 2.52217i | ||||||
\(966\) | 0.717450 | + | 2.79868i | 0.0230836 | + | 0.0900461i | ||||
\(967\) | − | 9.62227i | − | 0.309431i | −0.987959 | − | 0.154716i | \(-0.950554\pi\) | ||
0.987959 | − | 0.154716i | \(-0.0494462\pi\) | |||||||
\(968\) | 15.4959 | − | 14.5185i | 0.498057 | − | 0.466644i | ||||
\(969\) | − | 1.73615i | − | 0.0557732i | ||||||
\(970\) | 33.5861 | − | 8.60989i | 1.07838 | − | 0.276447i | ||||
\(971\) | 24.1231i | 0.774147i | 0.922049 | + | 0.387074i | \(0.126514\pi\) | ||||
−0.922049 | + | 0.387074i | \(0.873486\pi\) | |||||||
\(972\) | −1.75334 | + | 0.962180i | −0.0562385 | + | 0.0308619i | ||||
\(973\) | −73.2890 | −2.34954 | ||||||||
\(974\) | −44.6740 | + | 11.4523i | −1.43145 | + | 0.366955i | ||||
\(975\) | − | 4.62984i | − | 0.148274i | ||||||
\(976\) | −22.1697 | − | 14.1165i | −0.709635 | − | 0.451857i | ||||
\(977\) | −30.7927 | −0.985145 | −0.492572 | − | 0.870272i | \(-0.663943\pi\) | ||||
−0.492572 | + | 0.870272i | \(0.663943\pi\) | |||||||
\(978\) | 1.74748 | + | 6.81671i | 0.0558783 | + | 0.217974i | ||||
\(979\) | −78.8509 | −2.52009 | ||||||||
\(980\) | −33.1210 | − | 60.3551i | −1.05801 | − | 1.92797i | ||||
\(981\) | 6.13549i | 0.195891i | ||||||||
\(982\) | 13.7330 | + | 53.5705i | 0.438236 | + | 1.70950i | ||||
\(983\) | −31.9008 | −1.01748 | −0.508739 | − | 0.860921i | \(-0.669888\pi\) | ||||
−0.508739 | + | 0.860921i | \(0.669888\pi\) | |||||||
\(984\) | 13.6261 | + | 14.5434i | 0.434384 | + | 0.463626i | ||||
\(985\) | −92.4783 | −2.94660 | ||||||||
\(986\) | −2.67697 | + | 0.686249i | −0.0852522 | + | 0.0218546i | ||||
\(987\) | − | 42.2724i | − | 1.34555i | ||||||
\(988\) | 5.42080 | − | 2.97477i | 0.172459 | − | 0.0946399i | ||||
\(989\) | − | 3.44193i | − | 0.109447i | ||||||
\(990\) | 5.41893 | + | 21.1386i | 0.172225 | + | 0.671828i | ||||
\(991\) | −3.91707 | −0.124430 | −0.0622149 | − | 0.998063i | \(-0.519816\pi\) | ||||
−0.0622149 | + | 0.998063i | \(0.519816\pi\) | |||||||
\(992\) | 10.1098 | − | 30.9155i | 0.320986 | − | 0.981568i | ||||
\(993\) | −12.6337 | −0.400918 | ||||||||
\(994\) | 0.133079 | + | 0.519125i | 0.00422101 | + | 0.0164656i | ||||
\(995\) | 33.5220 | 1.06272 | ||||||||
\(996\) | −12.0986 | − | 22.0469i | −0.383360 | − | 0.698582i | ||||
\(997\) | 48.2558 | 1.52828 | 0.764139 | − | 0.645052i | \(-0.223164\pi\) | ||||
0.764139 | + | 0.645052i | \(0.223164\pi\) | |||||||
\(998\) | −24.0111 | + | 6.15531i | −0.760057 | + | 0.194843i | ||||
\(999\) | 1.03067 | 0.0326088 |
(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 | 804.2.e.a.535.31 | ✓ | 34 | |
4.3 | odd | 2 | 804.2.e.b.535.3 | yes | 34 | ||
67.66 | odd | 2 | 804.2.e.b.535.4 | yes | 34 | ||
268.267 | even | 2 | inner | 804.2.e.a.535.32 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.e.a.535.31 | ✓ | 34 | 1.1 | even | 1 | trivial | |
804.2.e.a.535.32 | yes | 34 | 268.267 | even | 2 | inner | |
804.2.e.b.535.3 | yes | 34 | 4.3 | odd | 2 | ||
804.2.e.b.535.4 | yes | 34 | 67.66 | odd | 2 |