Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [112,2,Mod(3,112)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(112, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("112.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 112 = 2^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 112.v (of order \(12\), degree \(4\), 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: | \(0.894324502638\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 19.11 | ||
Character | \(\chi\) | \(=\) | 112.19 |
Dual form | 112.2.v.a.59.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/112\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) | \(85\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.12010 | − | 0.863357i | 0.792027 | − | 0.610486i | ||||
\(3\) | 0.0530773 | − | 0.198087i | 0.0306442 | − | 0.114366i | −0.948910 | − | 0.315548i | \(-0.897812\pi\) |
0.979554 | + | 0.201182i | \(0.0644784\pi\) | |||||||
\(4\) | 0.509229 | − | 1.93409i | 0.254615 | − | 0.967043i | ||||
\(5\) | −1.82029 | + | 0.487744i | −0.814057 | + | 0.218126i | −0.641746 | − | 0.766917i | \(-0.721790\pi\) |
−0.172310 | + | 0.985043i | \(0.555123\pi\) | |||||||
\(6\) | −0.111568 | − | 0.267701i | −0.0455476 | − | 0.109289i | ||||
\(7\) | 1.84933 | − | 1.89208i | 0.698982 | − | 0.715140i | ||||
\(8\) | −1.09942 | − | 2.60601i | −0.388704 | − | 0.921363i | ||||
\(9\) | 2.56165 | + | 1.47897i | 0.853885 | + | 0.492991i | ||||
\(10\) | −1.61780 | + | 2.11788i | −0.511593 | + | 0.669732i | ||||
\(11\) | −1.09116 | + | 4.07225i | −0.328996 | + | 1.22783i | 0.581237 | + | 0.813734i | \(0.302569\pi\) |
−0.910233 | + | 0.414096i | \(0.864098\pi\) | |||||||
\(12\) | −0.356089 | − | 0.203528i | −0.102794 | − | 0.0587534i | ||||
\(13\) | −2.63146 | + | 2.63146i | −0.729835 | + | 0.729835i | −0.970587 | − | 0.240752i | \(-0.922606\pi\) |
0.240752 | + | 0.970587i | \(0.422606\pi\) | |||||||
\(14\) | 0.437886 | − | 3.71595i | 0.117030 | − | 0.993128i | ||||
\(15\) | 0.386464i | 0.0997845i | ||||||||
\(16\) | −3.48137 | − | 1.96979i | −0.870343 | − | 0.492446i | ||||
\(17\) | −5.54801 | + | 3.20315i | −1.34559 | + | 0.776877i | −0.987621 | − | 0.156856i | \(-0.949864\pi\) |
−0.357969 | + | 0.933733i | \(0.616531\pi\) | |||||||
\(18\) | 4.14618 | − | 0.555032i | 0.977264 | − | 0.130822i | ||||
\(19\) | 4.83712 | − | 1.29610i | 1.10971 | − | 0.297346i | 0.342998 | − | 0.939336i | \(-0.388558\pi\) |
0.766713 | + | 0.641990i | \(0.221891\pi\) | |||||||
\(20\) | 0.0163960 | + | 3.76896i | 0.00366625 | + | 0.842766i | ||||
\(21\) | −0.276640 | − | 0.466755i | −0.0603677 | − | 0.101854i | ||||
\(22\) | 2.29361 | + | 5.50337i | 0.488999 | + | 1.17332i | ||||
\(23\) | 2.51654 | − | 4.35877i | 0.524735 | − | 0.908867i | −0.474850 | − | 0.880066i | \(-0.657498\pi\) |
0.999585 | − | 0.0288006i | \(-0.00916880\pi\) | |||||||
\(24\) | −0.574571 | + | 0.0794613i | −0.117284 | + | 0.0162200i | ||||
\(25\) | −1.25458 | + | 0.724332i | −0.250916 | + | 0.144866i | ||||
\(26\) | −0.675597 | + | 5.21937i | −0.132495 | + | 1.02360i | ||||
\(27\) | 0.863961 | − | 0.863961i | 0.166269 | − | 0.166269i | ||||
\(28\) | −2.71771 | − | 4.54027i | −0.513600 | − | 0.858030i | ||||
\(29\) | 0.0380909 | + | 0.0380909i | 0.00707330 | + | 0.00707330i | 0.710635 | − | 0.703561i | \(-0.248408\pi\) |
−0.703561 | + | 0.710635i | \(0.748408\pi\) | |||||||
\(30\) | 0.333656 | + | 0.432876i | 0.0609170 | + | 0.0790320i | ||||
\(31\) | −2.32199 | − | 4.02180i | −0.417041 | − | 0.722337i | 0.578599 | − | 0.815612i | \(-0.303600\pi\) |
−0.995640 | + | 0.0932755i | \(0.970266\pi\) | |||||||
\(32\) | −5.60010 | + | 0.799318i | −0.989967 | + | 0.141301i | ||||
\(33\) | 0.748746 | + | 0.432288i | 0.130340 | + | 0.0752518i | ||||
\(34\) | −3.44885 | + | 8.37775i | −0.591472 | + | 1.43677i | ||||
\(35\) | −2.44346 | + | 4.34613i | −0.413020 | + | 0.734630i | ||||
\(36\) | 4.16493 | − | 4.20132i | 0.694155 | − | 0.700221i | ||||
\(37\) | −0.349719 | − | 1.30517i | −0.0574935 | − | 0.214569i | 0.931203 | − | 0.364502i | \(-0.118761\pi\) |
−0.988696 | + | 0.149933i | \(0.952094\pi\) | |||||||
\(38\) | 4.29904 | − | 5.62792i | 0.697396 | − | 0.912969i | ||||
\(39\) | 0.381587 | + | 0.660929i | 0.0611029 | + | 0.105833i | ||||
\(40\) | 3.27233 | + | 4.20744i | 0.517400 | + | 0.665255i | ||||
\(41\) | 11.2477 | 1.75659 | 0.878295 | − | 0.478120i | \(-0.158681\pi\) | ||||
0.878295 | + | 0.478120i | \(0.158681\pi\) | |||||||
\(42\) | −0.712840 | − | 0.283972i | −0.109994 | − | 0.0438178i | ||||
\(43\) | −3.36902 | − | 3.36902i | −0.513770 | − | 0.513770i | 0.401909 | − | 0.915679i | \(-0.368347\pi\) |
−0.915679 | + | 0.401909i | \(0.868347\pi\) | |||||||
\(44\) | 7.32044 | + | 4.18410i | 1.10360 | + | 0.630777i | ||||
\(45\) | −5.38431 | − | 1.44272i | −0.802645 | − | 0.215068i | ||||
\(46\) | −0.944413 | − | 7.05492i | −0.139246 | − | 1.04019i | ||||
\(47\) | −1.66673 | + | 2.88687i | −0.243118 | + | 0.421093i | −0.961601 | − | 0.274452i | \(-0.911504\pi\) |
0.718483 | + | 0.695545i | \(0.244837\pi\) | |||||||
\(48\) | −0.574971 | + | 0.585064i | −0.0829899 | + | 0.0844467i | ||||
\(49\) | −0.159948 | − | 6.99817i | −0.0228497 | − | 0.999739i | ||||
\(50\) | −0.779892 | + | 1.89447i | −0.110293 | + | 0.267919i | ||||
\(51\) | 0.340029 | + | 1.26900i | 0.0476135 | + | 0.177696i | ||||
\(52\) | 3.74945 | + | 6.42948i | 0.519955 | + | 0.891608i | ||||
\(53\) | −4.28814 | − | 1.14900i | −0.589021 | − | 0.157828i | −0.0480153 | − | 0.998847i | \(-0.515290\pi\) |
−0.541006 | + | 0.841019i | \(0.681956\pi\) | |||||||
\(54\) | 0.221812 | − | 1.71363i | 0.0301848 | − | 0.233195i | ||||
\(55\) | − | 7.94487i | − | 1.07129i | ||||||
\(56\) | −6.96397 | − | 2.73918i | −0.930600 | − | 0.366038i | ||||
\(57\) | − | 1.02696i | − | 0.136025i | ||||||
\(58\) | 0.0755515 | + | 0.00977941i | 0.00992040 | + | 0.00128410i | ||||
\(59\) | −2.75886 | − | 0.739234i | −0.359173 | − | 0.0962400i | 0.0747201 | − | 0.997205i | \(-0.476194\pi\) |
−0.433893 | + | 0.900965i | \(0.642860\pi\) | |||||||
\(60\) | 0.747453 | + | 0.196799i | 0.0964958 | + | 0.0254066i | ||||
\(61\) | −1.44659 | − | 5.39876i | −0.185217 | − | 0.691241i | −0.994584 | − | 0.103937i | \(-0.966856\pi\) |
0.809367 | − | 0.587304i | \(-0.199811\pi\) | |||||||
\(62\) | −6.07310 | − | 2.50010i | −0.771284 | − | 0.317513i | ||||
\(63\) | 7.53568 | − | 2.11175i | 0.949407 | − | 0.266056i | ||||
\(64\) | −5.58255 | + | 5.73020i | −0.697819 | + | 0.716275i | ||||
\(65\) | 3.50653 | − | 6.07348i | 0.434931 | − | 0.753323i | ||||
\(66\) | 1.21189 | − | 0.162230i | 0.149173 | − | 0.0199692i | ||||
\(67\) | 7.68276 | + | 2.05859i | 0.938598 | + | 0.251497i | 0.695517 | − | 0.718509i | \(-0.255175\pi\) |
0.243081 | + | 0.970006i | \(0.421842\pi\) | |||||||
\(68\) | 3.36995 | + | 12.3615i | 0.408666 | + | 1.49905i | ||||
\(69\) | −0.729846 | − | 0.729846i | −0.0878631 | − | 0.0878631i | ||||
\(70\) | 1.01535 | + | 6.97766i | 0.121358 | + | 0.833990i | ||||
\(71\) | −10.1378 | −1.20313 | −0.601566 | − | 0.798823i | \(-0.705456\pi\) | ||||
−0.601566 | + | 0.798823i | \(0.705456\pi\) | |||||||
\(72\) | 1.03788 | − | 8.30170i | 0.122315 | − | 0.978365i | ||||
\(73\) | −1.44429 | − | 2.50159i | −0.169042 | − | 0.292789i | 0.769041 | − | 0.639199i | \(-0.220734\pi\) |
−0.938083 | + | 0.346410i | \(0.887401\pi\) | |||||||
\(74\) | −1.51855 | − | 1.15998i | −0.176527 | − | 0.134845i | ||||
\(75\) | 0.0768912 | + | 0.286962i | 0.00887863 | + | 0.0331355i | ||||
\(76\) | −0.0435697 | − | 10.0154i | −0.00499778 | − | 1.14885i | ||||
\(77\) | 5.68713 | + | 9.59550i | 0.648108 | + | 1.09351i | ||||
\(78\) | 0.998032 | + | 0.410857i | 0.113005 | + | 0.0465204i | ||||
\(79\) | 5.46763 | + | 3.15674i | 0.615156 | + | 0.355161i | 0.774981 | − | 0.631985i | \(-0.217759\pi\) |
−0.159824 | + | 0.987145i | \(0.551093\pi\) | |||||||
\(80\) | 7.29784 | + | 1.88755i | 0.815924 | + | 0.211035i | ||||
\(81\) | 4.31163 | + | 7.46797i | 0.479070 | + | 0.829774i | ||||
\(82\) | 12.5985 | − | 9.71075i | 1.39127 | − | 1.07237i | ||||
\(83\) | −5.36480 | − | 5.36480i | −0.588863 | − | 0.588863i | 0.348460 | − | 0.937323i | \(-0.386705\pi\) |
−0.937323 | + | 0.348460i | \(0.886705\pi\) | |||||||
\(84\) | −1.04362 | + | 0.297359i | −0.113868 | + | 0.0324445i | ||||
\(85\) | 8.53665 | − | 8.53665i | 0.925930 | − | 0.925930i | ||||
\(86\) | −6.68229 | − | 0.864957i | −0.720569 | − | 0.0932707i | ||||
\(87\) | 0.00956708 | − | 0.00552356i | 0.00102570 | − | 0.000592187i | ||||
\(88\) | 11.8120 | − | 1.63356i | 1.25916 | − | 0.174138i | ||||
\(89\) | −0.890135 | + | 1.54176i | −0.0943542 | + | 0.163426i | −0.909339 | − | 0.416056i | \(-0.863412\pi\) |
0.814985 | + | 0.579482i | \(0.196745\pi\) | |||||||
\(90\) | −7.27652 | + | 3.03259i | −0.767013 | + | 0.319663i | ||||
\(91\) | 0.112496 | + | 9.84537i | 0.0117928 | + | 1.03207i | ||||
\(92\) | −7.14874 | − | 7.08682i | −0.745308 | − | 0.738852i | ||||
\(93\) | −0.919912 | + | 0.246490i | −0.0953904 | + | 0.0255598i | ||||
\(94\) | 0.625496 | + | 4.67256i | 0.0645150 | + | 0.481937i | ||||
\(95\) | −8.17277 | + | 4.71855i | −0.838509 | + | 0.484113i | ||||
\(96\) | −0.138903 | + | 1.15173i | −0.0141768 | + | 0.117548i | ||||
\(97\) | 6.40791i | 0.650625i | 0.945607 | + | 0.325312i | \(0.105469\pi\) | ||||
−0.945607 | + | 0.325312i | \(0.894531\pi\) | |||||||
\(98\) | −6.22108 | − | 7.70053i | −0.628424 | − | 0.777871i | ||||
\(99\) | −8.81792 | + | 8.81792i | −0.886234 | + | 0.886234i | ||||
\(100\) | 0.762051 | + | 2.79531i | 0.0762051 | + | 0.279531i | ||||
\(101\) | 0.721748 | − | 2.69360i | 0.0718166 | − | 0.268023i | −0.920676 | − | 0.390328i | \(-0.872362\pi\) |
0.992493 | + | 0.122304i | \(0.0390284\pi\) | |||||||
\(102\) | 1.47647 | + | 1.12784i | 0.146192 | + | 0.111673i | ||||
\(103\) | 4.12660 | + | 2.38249i | 0.406606 | + | 0.234754i | 0.689330 | − | 0.724447i | \(-0.257905\pi\) |
−0.282724 | + | 0.959201i | \(0.591238\pi\) | |||||||
\(104\) | 9.75067 | + | 3.96452i | 0.956132 | + | 0.388753i | ||||
\(105\) | 0.731221 | + | 0.714699i | 0.0713598 | + | 0.0697475i | ||||
\(106\) | −5.79512 | + | 2.41520i | −0.562872 | + | 0.234585i | ||||
\(107\) | −8.62418 | + | 2.31084i | −0.833731 | + | 0.223397i | −0.650341 | − | 0.759643i | \(-0.725374\pi\) |
−0.183390 | + | 0.983040i | \(0.558707\pi\) | |||||||
\(108\) | −1.23102 | − | 2.11093i | −0.118455 | − | 0.203124i | ||||
\(109\) | −2.28592 | + | 8.53116i | −0.218951 | + | 0.817137i | 0.765787 | + | 0.643094i | \(0.222350\pi\) |
−0.984738 | + | 0.174042i | \(0.944317\pi\) | |||||||
\(110\) | −6.85926 | − | 8.89902i | −0.654005 | − | 0.848488i | ||||
\(111\) | −0.277100 | −0.0263011 | ||||||||
\(112\) | −10.1652 | + | 2.94425i | −0.960521 | + | 0.278206i | ||||
\(113\) | 7.63900 | 0.718616 | 0.359308 | − | 0.933219i | \(-0.383013\pi\) | ||||
0.359308 | + | 0.933219i | \(0.383013\pi\) | |||||||
\(114\) | −0.886637 | − | 1.15030i | −0.0830412 | − | 0.107735i | ||||
\(115\) | −2.45485 | + | 9.16164i | −0.228916 | + | 0.854328i | ||||
\(116\) | 0.0930680 | − | 0.0542740i | 0.00864115 | − | 0.00503922i | ||||
\(117\) | −10.6327 | + | 2.84903i | −0.982997 | + | 0.263393i | ||||
\(118\) | −3.72841 | + | 1.55387i | −0.343228 | + | 0.143045i | ||||
\(119\) | −4.19950 | + | 16.4210i | −0.384967 | + | 1.50531i | ||||
\(120\) | 1.00713 | − | 0.424886i | 0.0919377 | − | 0.0387866i | ||||
\(121\) | −5.86634 | − | 3.38693i | −0.533304 | − | 0.307903i | ||||
\(122\) | −6.28138 | − | 4.79820i | −0.568690 | − | 0.434409i | ||||
\(123\) | 0.596996 | − | 2.22802i | 0.0538293 | − | 0.200894i | ||||
\(124\) | −8.96093 | + | 2.44290i | −0.804715 | + | 0.219379i | ||||
\(125\) | 8.59312 | − | 8.59312i | 0.768592 | − | 0.768592i | ||||
\(126\) | 6.61749 | − | 8.87135i | 0.589533 | − | 0.790323i | ||||
\(127\) | 5.41769i | 0.480742i | 0.970681 | + | 0.240371i | \(0.0772692\pi\) | ||||
−0.970681 | + | 0.240371i | \(0.922731\pi\) | |||||||
\(128\) | −1.30578 | + | 11.2381i | −0.115416 | + | 0.993317i | ||||
\(129\) | −0.846177 | + | 0.488541i | −0.0745018 | + | 0.0430136i | ||||
\(130\) | −1.31594 | − | 9.83027i | −0.115415 | − | 0.862171i | ||||
\(131\) | 9.68669 | − | 2.59554i | 0.846330 | − | 0.226773i | 0.190505 | − | 0.981686i | \(-0.438988\pi\) |
0.655825 | + | 0.754913i | \(0.272321\pi\) | |||||||
\(132\) | 1.21737 | − | 1.22800i | 0.105958 | − | 0.106884i | ||||
\(133\) | 6.49310 | − | 11.5491i | 0.563023 | − | 1.00144i | ||||
\(134\) | 10.3827 | − | 4.32715i | 0.896931 | − | 0.373809i | ||||
\(135\) | −1.15126 | + | 1.99405i | −0.0990850 | + | 0.171620i | ||||
\(136\) | 14.4470 | + | 10.9366i | 1.23882 | + | 0.937802i | ||||
\(137\) | −2.01214 | + | 1.16171i | −0.171909 | + | 0.0992518i | −0.583486 | − | 0.812123i | \(-0.698312\pi\) |
0.411577 | + | 0.911375i | \(0.364978\pi\) | |||||||
\(138\) | −1.44762 | − | 0.187380i | −0.123229 | − | 0.0159508i | ||||
\(139\) | 12.3283 | − | 12.3283i | 1.04568 | − | 1.04568i | 0.0467705 | − | 0.998906i | \(-0.485107\pi\) |
0.998906 | − | 0.0467705i | \(-0.0148930\pi\) | |||||||
\(140\) | 7.16151 | + | 6.93904i | 0.605258 | + | 0.586456i | ||||
\(141\) | 0.483386 | + | 0.483386i | 0.0407084 | + | 0.0407084i | ||||
\(142\) | −11.3553 | + | 8.75251i | −0.952913 | + | 0.734494i | ||||
\(143\) | −7.84463 | − | 13.5873i | −0.656001 | − | 1.13623i | ||||
\(144\) | −6.00481 | − | 10.1948i | −0.500401 | − | 0.849563i | ||||
\(145\) | −0.0879149 | − | 0.0507577i | −0.00730094 | − | 0.00421520i | ||||
\(146\) | −3.77752 | − | 1.55508i | −0.312629 | − | 0.128699i | ||||
\(147\) | −1.39474 | − | 0.339761i | −0.115036 | − | 0.0280230i | ||||
\(148\) | −2.70240 | + | 0.0117561i | −0.222136 | + | 0.000966349i | ||||
\(149\) | 6.05953 | + | 22.6145i | 0.496416 | + | 1.85265i | 0.521951 | + | 0.852976i | \(0.325204\pi\) |
−0.0255350 | + | 0.999674i | \(0.508129\pi\) | |||||||
\(150\) | 0.333876 | + | 0.255040i | 0.0272608 | + | 0.0208239i | ||||
\(151\) | 2.33877 | + | 4.05086i | 0.190326 | + | 0.329654i | 0.945358 | − | 0.326033i | \(-0.105712\pi\) |
−0.755032 | + | 0.655688i | \(0.772379\pi\) | |||||||
\(152\) | −8.69568 | − | 11.1806i | −0.705313 | − | 0.906867i | ||||
\(153\) | −18.9495 | −1.53197 | ||||||||
\(154\) | 14.6545 | + | 5.83786i | 1.18089 | + | 0.470428i | ||||
\(155\) | 6.18829 | + | 6.18829i | 0.497056 | + | 0.497056i | ||||
\(156\) | 1.47261 | − | 0.401458i | 0.117903 | − | 0.0321424i | ||||
\(157\) | 17.2260 | + | 4.61570i | 1.37479 | + | 0.368373i | 0.869225 | − | 0.494417i | \(-0.164618\pi\) |
0.505563 | + | 0.862790i | \(0.331285\pi\) | |||||||
\(158\) | 8.84966 | − | 1.18467i | 0.704041 | − | 0.0942471i | ||||
\(159\) | −0.455206 | + | 0.788439i | −0.0361001 | + | 0.0625273i | ||||
\(160\) | 9.80392 | − | 4.18640i | 0.775068 | − | 0.330964i | ||||
\(161\) | −3.59324 | − | 12.8223i | −0.283187 | − | 1.01054i | ||||
\(162\) | 11.2770 | + | 4.64236i | 0.886002 | + | 0.364738i | ||||
\(163\) | −5.72843 | − | 21.3788i | −0.448685 | − | 1.67451i | −0.706019 | − | 0.708193i | \(-0.749511\pi\) |
0.257334 | − | 0.966322i | \(-0.417156\pi\) | |||||||
\(164\) | 5.72764 | − | 21.7539i | 0.447253 | − | 1.69870i | ||||
\(165\) | −1.57378 | − | 0.421692i | −0.122518 | − | 0.0328287i | ||||
\(166\) | −10.6408 | − | 1.37735i | −0.825888 | − | 0.106903i | ||||
\(167\) | 0.304378i | 0.0235535i | 0.999931 | + | 0.0117768i | \(0.00374874\pi\) | ||||
−0.999931 | + | 0.0117768i | \(0.996251\pi\) | |||||||
\(168\) | −0.912225 | + | 1.23409i | −0.0703797 | + | 0.0952118i | ||||
\(169\) | − | 0.849130i | − | 0.0653177i | ||||||
\(170\) | 2.19169 | − | 16.9320i | 0.168095 | − | 1.29863i | ||||
\(171\) | 14.3079 | + | 3.83380i | 1.09415 | + | 0.293178i | ||||
\(172\) | −8.23157 | + | 4.80036i | −0.627651 | + | 0.366024i | ||||
\(173\) | −5.04898 | − | 18.8431i | −0.383867 | − | 1.43261i | −0.839945 | − | 0.542671i | \(-0.817413\pi\) |
0.456078 | − | 0.889940i | \(-0.349254\pi\) | |||||||
\(174\) | 0.00594724 | − | 0.0144467i | 0.000450859 | − | 0.00109520i | ||||
\(175\) | −0.949638 | + | 3.71330i | −0.0717859 | + | 0.280699i | ||||
\(176\) | 11.8202 | − | 12.0277i | 0.890980 | − | 0.906620i | ||||
\(177\) | −0.292865 | + | 0.507258i | −0.0220131 | + | 0.0381278i | ||||
\(178\) | 0.334052 | + | 2.49542i | 0.0250383 | + | 0.187040i | ||||
\(179\) | −9.35570 | − | 2.50685i | −0.699278 | − | 0.187371i | −0.108371 | − | 0.994111i | \(-0.534563\pi\) |
−0.590907 | + | 0.806740i | \(0.701230\pi\) | |||||||
\(180\) | −5.53219 | + | 9.67903i | −0.412345 | + | 0.721432i | ||||
\(181\) | 16.0802 | + | 16.0802i | 1.19523 | + | 1.19523i | 0.975577 | + | 0.219657i | \(0.0704938\pi\) |
0.219657 | + | 0.975577i | \(0.429506\pi\) | |||||||
\(182\) | 8.62607 | + | 10.9306i | 0.639407 | + | 0.810232i | ||||
\(183\) | −1.14621 | −0.0847301 | ||||||||
\(184\) | −14.1257 | − | 1.76599i | −1.04136 | − | 0.130191i | ||||
\(185\) | 1.27318 | + | 2.20521i | 0.0936059 | + | 0.162130i | ||||
\(186\) | −0.817581 | + | 1.07030i | −0.0599479 | + | 0.0784785i | ||||
\(187\) | −6.99027 | − | 26.0880i | −0.511179 | − | 1.90775i | ||||
\(188\) | 4.73470 | + | 4.69368i | 0.345313 | + | 0.342322i | ||||
\(189\) | −0.0369349 | − | 3.23243i | −0.00268662 | − | 0.235125i | ||||
\(190\) | −5.08049 | + | 12.3413i | −0.368578 | + | 0.895328i | ||||
\(191\) | 14.6659 | + | 8.46735i | 1.06119 | + | 0.612676i | 0.925760 | − | 0.378111i | \(-0.123426\pi\) |
0.135426 | + | 0.990787i | \(0.456760\pi\) | |||||||
\(192\) | 0.838772 | + | 1.40997i | 0.0605331 | + | 0.101756i | ||||
\(193\) | −8.83471 | − | 15.3022i | −0.635936 | − | 1.10147i | −0.986316 | − | 0.164866i | \(-0.947281\pi\) |
0.350380 | − | 0.936608i | \(-0.386052\pi\) | |||||||
\(194\) | 5.53232 | + | 7.17748i | 0.397197 | + | 0.515313i | ||||
\(195\) | −1.01696 | − | 1.01696i | −0.0728262 | − | 0.0728262i | ||||
\(196\) | −13.6165 | − | 3.25432i | −0.972608 | − | 0.232452i | ||||
\(197\) | 2.92385 | − | 2.92385i | 0.208315 | − | 0.208315i | −0.595236 | − | 0.803551i | \(-0.702941\pi\) |
0.803551 | + | 0.595236i | \(0.202941\pi\) | |||||||
\(198\) | −2.26390 | + | 17.4899i | −0.160888 | + | 1.24295i | ||||
\(199\) | 3.15128 | − | 1.81939i | 0.223388 | − | 0.128973i | −0.384130 | − | 0.923279i | \(-0.625499\pi\) |
0.607518 | + | 0.794306i | \(0.292165\pi\) | |||||||
\(200\) | 3.26692 | + | 2.47310i | 0.231006 | + | 0.174874i | ||||
\(201\) | 0.815560 | − | 1.41259i | 0.0575252 | − | 0.0996365i | ||||
\(202\) | −1.51711 | − | 3.64022i | −0.106744 | − | 0.256125i | ||||
\(203\) | 0.142514 | − | 0.00162841i | 0.0100025 | − | 0.000114292i | ||||
\(204\) | 2.62752 | − | 0.0114304i | 0.183963 | − | 0.000800287i | ||||
\(205\) | −20.4740 | + | 5.48598i | −1.42996 | + | 0.383158i | ||||
\(206\) | 6.67913 | − | 0.894108i | 0.465357 | − | 0.0622955i | ||||
\(207\) | 12.8930 | − | 7.44378i | 0.896126 | − | 0.517379i | ||||
\(208\) | 14.3445 | − | 3.97767i | 0.994611 | − | 0.275802i | ||||
\(209\) | 21.1122i | 1.46036i | ||||||||
\(210\) | 1.43608 | + | 0.169227i | 0.0990988 | + | 0.0116778i | ||||
\(211\) | 5.47843 | − | 5.47843i | 0.377150 | − | 0.377150i | −0.492923 | − | 0.870073i | \(-0.664071\pi\) |
0.870073 | + | 0.492923i | \(0.164071\pi\) | |||||||
\(212\) | −4.40591 | + | 7.70852i | −0.302599 | + | 0.529423i | ||||
\(213\) | −0.538085 | + | 2.00816i | −0.0368690 | + | 0.137597i | ||||
\(214\) | −7.66482 | + | 10.0341i | −0.523957 | + | 0.685917i | ||||
\(215\) | 7.77579 | + | 4.48936i | 0.530305 | + | 0.306172i | ||||
\(216\) | −3.20134 | − | 1.30163i | −0.217824 | − | 0.0885648i | ||||
\(217\) | −11.9037 | − | 3.04425i | −0.808076 | − | 0.206657i | ||||
\(218\) | 4.80499 | + | 11.5293i | 0.325435 | + | 0.780861i | ||||
\(219\) | −0.572193 | + | 0.153319i | −0.0386652 | + | 0.0103603i | ||||
\(220\) | −15.3661 | − | 4.04576i | −1.03598 | − | 0.272765i | ||||
\(221\) | 6.17041 | − | 23.0283i | 0.415067 | − | 1.54905i | ||||
\(222\) | −0.310378 | + | 0.239236i | −0.0208312 | + | 0.0160565i | ||||
\(223\) | −19.4622 | −1.30328 | −0.651642 | − | 0.758526i | \(-0.725920\pi\) | ||||
−0.651642 | + | 0.758526i | \(0.725920\pi\) | |||||||
\(224\) | −8.84406 | + | 12.0740i | −0.590919 | + | 0.806731i | ||||
\(225\) | −4.28507 | −0.285671 | ||||||||
\(226\) | 8.55641 | − | 6.59518i | 0.569164 | − | 0.438705i | ||||
\(227\) | 3.30490 | − | 12.3341i | 0.219354 | − | 0.818640i | −0.765234 | − | 0.643752i | \(-0.777377\pi\) |
0.984588 | − | 0.174888i | \(-0.0559563\pi\) | |||||||
\(228\) | −1.98624 | − | 0.522960i | −0.131542 | − | 0.0346339i | ||||
\(229\) | −24.6050 | + | 6.59290i | −1.62595 | + | 0.435671i | −0.952741 | − | 0.303785i | \(-0.901750\pi\) |
−0.673205 | + | 0.739456i | \(0.735083\pi\) | |||||||
\(230\) | 5.16010 | + | 12.3813i | 0.340247 | + | 0.816401i | ||||
\(231\) | 2.20260 | − | 0.617243i | 0.144921 | − | 0.0406116i | ||||
\(232\) | 0.0573872 | − | 0.141143i | 0.00376766 | − | 0.00926649i | ||||
\(233\) | 1.00467 | + | 0.580046i | 0.0658181 | + | 0.0380001i | 0.532548 | − | 0.846400i | \(-0.321235\pi\) |
−0.466730 | + | 0.884400i | \(0.654568\pi\) | |||||||
\(234\) | −9.44995 | + | 12.3710i | −0.617763 | + | 0.808720i | ||||
\(235\) | 1.62588 | − | 6.06787i | 0.106061 | − | 0.395824i | ||||
\(236\) | −2.83463 | + | 4.95943i | −0.184519 | + | 0.322831i | ||||
\(237\) | 0.915516 | − | 0.915516i | 0.0594692 | − | 0.0594692i | ||||
\(238\) | 9.47332 | + | 22.0187i | 0.614064 | + | 1.42726i | ||||
\(239\) | − | 16.7833i | − | 1.08562i | −0.839856 | − | 0.542809i | \(-0.817361\pi\) | ||
0.839856 | − | 0.542809i | \(-0.182639\pi\) | |||||||
\(240\) | 0.761250 | − | 1.34542i | 0.0491385 | − | 0.0868467i | ||||
\(241\) | −24.1160 | + | 13.9234i | −1.55345 | + | 0.896885i | −0.555594 | + | 0.831454i | \(0.687509\pi\) |
−0.997857 | + | 0.0654317i | \(0.979158\pi\) | |||||||
\(242\) | −9.49500 | + | 1.27106i | −0.610362 | + | 0.0817066i | ||||
\(243\) | 5.24874 | − | 1.40639i | 0.336707 | − | 0.0902203i | ||||
\(244\) | −11.1783 | + | 0.0486286i | −0.715618 | + | 0.00311313i | ||||
\(245\) | 3.70447 | + | 12.6607i | 0.236670 | + | 0.808860i | ||||
\(246\) | −1.25488 | − | 3.01101i | −0.0800084 | − | 0.191975i | ||||
\(247\) | −9.31803 | + | 16.1393i | −0.592892 | + | 1.02692i | ||||
\(248\) | −7.92800 | + | 10.4728i | −0.503428 | + | 0.665021i | ||||
\(249\) | −1.34745 | + | 0.777949i | −0.0853910 | + | 0.0493005i | ||||
\(250\) | 2.20619 | − | 17.0440i | 0.139531 | − | 1.07796i | ||||
\(251\) | −6.50977 | + | 6.50977i | −0.410893 | + | 0.410893i | −0.882050 | − | 0.471156i | \(-0.843837\pi\) |
0.471156 | + | 0.882050i | \(0.343837\pi\) | |||||||
\(252\) | −0.246916 | − | 15.6500i | −0.0155543 | − | 0.985859i | ||||
\(253\) | 15.0041 | + | 15.0041i | 0.943299 | + | 0.943299i | ||||
\(254\) | 4.67740 | + | 6.06833i | 0.293486 | + | 0.380761i | ||||
\(255\) | −1.23790 | − | 2.14410i | −0.0775203 | − | 0.134269i | ||||
\(256\) | 8.23989 | + | 13.7151i | 0.514993 | + | 0.857194i | ||||
\(257\) | 7.67788 | + | 4.43283i | 0.478933 | + | 0.276512i | 0.719972 | − | 0.694003i | \(-0.244155\pi\) |
−0.241039 | + | 0.970515i | \(0.577488\pi\) | |||||||
\(258\) | −0.526015 | + | 1.27777i | −0.0327482 | + | 0.0795502i | ||||
\(259\) | −3.11624 | − | 1.75199i | −0.193633 | − | 0.108864i | ||||
\(260\) | −9.96101 | − | 9.87472i | −0.617755 | − | 0.612404i | ||||
\(261\) | 0.0412403 | + | 0.153911i | 0.00255271 | + | 0.00952686i | ||||
\(262\) | 8.60914 | − | 11.2703i | 0.531874 | − | 0.696283i | ||||
\(263\) | 2.87410 | + | 4.97808i | 0.177224 | + | 0.306962i | 0.940929 | − | 0.338604i | \(-0.109955\pi\) |
−0.763704 | + | 0.645566i | \(0.776621\pi\) | |||||||
\(264\) | 0.303361 | − | 2.42650i | 0.0186706 | − | 0.149341i | ||||
\(265\) | 8.36606 | 0.513923 | ||||||||
\(266\) | −2.69814 | − | 18.5420i | −0.165433 | − | 1.13688i | ||||
\(267\) | 0.258157 | + | 0.258157i | 0.0157989 | + | 0.0157989i | ||||
\(268\) | 7.89377 | − | 13.8108i | 0.482189 | − | 0.843630i | ||||
\(269\) | 6.28055 | + | 1.68287i | 0.382932 | + | 0.102606i | 0.445149 | − | 0.895456i | \(-0.353151\pi\) |
−0.0622174 | + | 0.998063i | \(0.519817\pi\) | |||||||
\(270\) | 0.432049 | + | 3.22748i | 0.0262937 | + | 0.196418i | ||||
\(271\) | −12.7068 | + | 22.0089i | −0.771884 | + | 1.33694i | 0.164645 | + | 0.986353i | \(0.447352\pi\) |
−0.936529 | + | 0.350590i | \(0.885981\pi\) | |||||||
\(272\) | 25.6242 | − | 0.222948i | 1.55370 | − | 0.0135182i | ||||
\(273\) | 1.95621 | + | 0.500281i | 0.118395 | + | 0.0302784i | ||||
\(274\) | −1.25082 | + | 3.03843i | −0.0755649 | + | 0.183558i | ||||
\(275\) | −1.58072 | − | 5.89932i | −0.0953210 | − | 0.355743i | ||||
\(276\) | −1.78324 | + | 1.03993i | −0.107339 | + | 0.0625962i | ||||
\(277\) | 8.84136 | + | 2.36904i | 0.531226 | + | 0.142342i | 0.514454 | − | 0.857518i | \(-0.327995\pi\) |
0.0167715 | + | 0.999859i | \(0.494661\pi\) | |||||||
\(278\) | 3.16516 | − | 24.4527i | 0.189834 | − | 1.46657i | ||||
\(279\) | − | 13.7366i | − | 0.822390i | ||||||
\(280\) | 14.0124 | + | 1.58945i | 0.837403 | + | 0.0949877i | ||||
\(281\) | − | 8.40334i | − | 0.501301i | −0.968078 | − | 0.250651i | \(-0.919355\pi\) | ||
0.968078 | − | 0.250651i | \(-0.0806446\pi\) | |||||||
\(282\) | 0.958773 | + | 0.124104i | 0.0570941 | + | 0.00739028i | ||||
\(283\) | 24.1688 | + | 6.47601i | 1.43669 | + | 0.384959i | 0.891372 | − | 0.453272i | \(-0.149744\pi\) |
0.545315 | + | 0.838231i | \(0.316410\pi\) | |||||||
\(284\) | −5.16244 | + | 19.6073i | −0.306335 | + | 1.16348i | ||||
\(285\) | 0.500896 | + | 1.86937i | 0.0296705 | + | 0.110732i | ||||
\(286\) | −20.5174 | − | 8.44635i | −1.21322 | − | 0.499443i | ||||
\(287\) | 20.8007 | − | 21.2815i | 1.22782 | − | 1.25621i | ||||
\(288\) | −15.5277 | − | 6.23481i | −0.914978 | − | 0.367390i | ||||
\(289\) | 12.0203 | − | 20.8198i | 0.707076 | − | 1.22469i | ||||
\(290\) | −0.142295 | + | 0.0190485i | −0.00835586 | + | 0.00111857i | ||||
\(291\) | 1.26933 | + | 0.340115i | 0.0744092 | + | 0.0199379i | ||||
\(292\) | −5.57377 | + | 1.51951i | −0.326180 | + | 0.0889223i | ||||
\(293\) | −15.2554 | − | 15.2554i | −0.891230 | − | 0.891230i | 0.103409 | − | 0.994639i | \(-0.467025\pi\) |
−0.994639 | + | 0.103409i | \(0.967025\pi\) | |||||||
\(294\) | −1.85557 | + | 0.823592i | −0.108219 | + | 0.0480329i | ||||
\(295\) | 5.38247 | 0.313379 | ||||||||
\(296\) | −3.01679 | + | 2.34630i | −0.175348 | + | 0.136376i | ||||
\(297\) | 2.57555 | + | 4.46098i | 0.149449 | + | 0.258853i | ||||
\(298\) | 26.3116 | + | 20.0988i | 1.52419 | + | 1.16429i | ||||
\(299\) | 4.84776 | + | 18.0921i | 0.280353 | + | 1.04629i | ||||
\(300\) | 0.594164 | − | 0.00258477i | 0.0343041 | − | 0.000149232i | ||||
\(301\) | −12.6049 | + | 0.144028i | −0.726533 | + | 0.00830161i | ||||
\(302\) | 6.11698 | + | 2.51816i | 0.351993 | + | 0.144904i | ||||
\(303\) | −0.495259 | − | 0.285938i | −0.0284519 | − | 0.0164267i | ||||
\(304\) | −19.3928 | − | 5.01587i | −1.11226 | − | 0.287680i | ||||
\(305\) | 5.26643 | + | 9.12173i | 0.301555 | + | 0.522308i | ||||
\(306\) | −21.2252 | + | 16.3601i | −1.21336 | + | 0.935247i | ||||
\(307\) | 7.46885 | + | 7.46885i | 0.426270 | + | 0.426270i | 0.887355 | − | 0.461086i | \(-0.152540\pi\) |
−0.461086 | + | 0.887355i | \(0.652540\pi\) | |||||||
\(308\) | 21.4546 | − | 6.11308i | 1.22249 | − | 0.348325i | ||||
\(309\) | 0.690970 | − | 0.690970i | 0.0393079 | − | 0.0393079i | ||||
\(310\) | 12.2742 | + | 1.58877i | 0.697127 | + | 0.0902363i | ||||
\(311\) | 5.22714 | − | 3.01789i | 0.296404 | − | 0.171129i | −0.344423 | − | 0.938815i | \(-0.611925\pi\) |
0.640826 | + | 0.767686i | \(0.278592\pi\) | |||||||
\(312\) | 1.30286 | − | 1.72106i | 0.0737599 | − | 0.0974357i | ||||
\(313\) | −6.15303 | + | 10.6574i | −0.347790 | + | 0.602390i | −0.985857 | − | 0.167591i | \(-0.946401\pi\) |
0.638067 | + | 0.769981i | \(0.279734\pi\) | |||||||
\(314\) | 23.2798 | − | 9.70219i | 1.31376 | − | 0.547527i | ||||
\(315\) | −12.6871 | + | 7.51948i | −0.714838 | + | 0.423675i | ||||
\(316\) | 8.88967 | − | 8.96736i | 0.500083 | − | 0.504453i | ||||
\(317\) | −6.95253 | + | 1.86292i | −0.390493 | + | 0.104632i | −0.448723 | − | 0.893671i | \(-0.648121\pi\) |
0.0582300 | + | 0.998303i | \(0.481454\pi\) | |||||||
\(318\) | 0.170831 | + | 1.27613i | 0.00957971 | + | 0.0715619i | ||||
\(319\) | −0.196679 | + | 0.113553i | −0.0110119 | + | 0.00635773i | ||||
\(320\) | 7.36697 | − | 13.1535i | 0.411826 | − | 0.735300i | ||||
\(321\) | 1.83099i | 0.102196i | ||||||||
\(322\) | −15.0950 | − | 11.2600i | −0.841212 | − | 0.627494i | ||||
\(323\) | −22.6848 | + | 22.6848i | −1.26222 | + | 1.26222i | ||||
\(324\) | 16.6393 | − | 4.53616i | 0.924405 | − | 0.252009i | ||||
\(325\) | 1.39532 | − | 5.20742i | 0.0773986 | − | 0.288856i | ||||
\(326\) | −24.8739 | − | 19.0006i | −1.37764 | − | 1.05235i | ||||
\(327\) | 1.56858 | + | 0.905622i | 0.0867428 | + | 0.0500810i | ||||
\(328\) | −12.3659 | − | 29.3115i | −0.682793 | − | 1.61846i | ||||
\(329\) | 2.37985 | + | 8.49237i | 0.131205 | + | 0.468200i | ||||
\(330\) | −2.12685 | + | 0.886396i | −0.117079 | + | 0.0487945i | ||||
\(331\) | −7.49575 | + | 2.00848i | −0.412004 | + | 0.110396i | −0.458866 | − | 0.888505i | \(-0.651744\pi\) |
0.0468626 | + | 0.998901i | \(0.485078\pi\) | |||||||
\(332\) | −13.1079 | + | 7.64406i | −0.719389 | + | 0.419523i | ||||
\(333\) | 1.03445 | − | 3.86062i | 0.0566875 | − | 0.211561i | ||||
\(334\) | 0.262787 | + | 0.340933i | 0.0143791 | + | 0.0186550i | ||||
\(335\) | −14.9889 | −0.818930 | ||||||||
\(336\) | 0.0436774 | + | 2.16987i | 0.00238280 | + | 0.118376i | ||||
\(337\) | −16.7324 | −0.911474 | −0.455737 | − | 0.890114i | \(-0.650624\pi\) | ||||
−0.455737 | + | 0.890114i | \(0.650624\pi\) | |||||||
\(338\) | −0.733102 | − | 0.951107i | −0.0398755 | − | 0.0517334i | ||||
\(339\) | 0.405457 | − | 1.51319i | 0.0220214 | − | 0.0821850i | ||||
\(340\) | −12.1635 | − | 20.8577i | −0.659659 | − | 1.13117i | ||||
\(341\) | 18.9114 | − | 5.06730i | 1.02411 | − | 0.274410i | ||||
\(342\) | 19.3362 | − | 8.05863i | 1.04558 | − | 0.435761i | ||||
\(343\) | −13.5369 | − | 12.6393i | −0.730925 | − | 0.682458i | ||||
\(344\) | −5.07572 | + | 12.4836i | −0.273664 | + | 0.673073i | ||||
\(345\) | 1.68451 | + | 0.972551i | 0.0906908 | + | 0.0523604i | ||||
\(346\) | −21.9236 | − | 16.7470i | −1.17862 | − | 0.900322i | ||||
\(347\) | 3.09373 | − | 11.5460i | 0.166080 | − | 0.619820i | −0.831820 | − | 0.555046i | \(-0.812701\pi\) |
0.997900 | − | 0.0647741i | \(-0.0206327\pi\) | |||||||
\(348\) | −0.00581119 | − | 0.0213163i | −0.000311513 | − | 0.00114267i | ||||
\(349\) | −6.65802 | + | 6.65802i | −0.356396 | + | 0.356396i | −0.862482 | − | 0.506087i | \(-0.831092\pi\) |
0.506087 | + | 0.862482i | \(0.331092\pi\) | |||||||
\(350\) | 2.14222 | + | 4.97912i | 0.114506 | + | 0.266145i | ||||
\(351\) | 4.54695i | 0.242698i | ||||||||
\(352\) | 2.85556 | − | 23.6772i | 0.152202 | − | 1.26200i | ||||
\(353\) | 12.4963 | − | 7.21473i | 0.665110 | − | 0.384002i | −0.129111 | − | 0.991630i | \(-0.541212\pi\) |
0.794221 | + | 0.607629i | \(0.207879\pi\) | |||||||
\(354\) | 0.109907 | + | 0.821025i | 0.00584150 | + | 0.0436370i | ||||
\(355\) | 18.4536 | − | 4.94464i | 0.979417 | − | 0.262434i | ||||
\(356\) | 2.52861 | + | 2.50671i | 0.134016 | + | 0.132855i | ||||
\(357\) | 3.02989 | + | 1.70345i | 0.160359 | + | 0.0901560i | ||||
\(358\) | −12.6436 | + | 5.26940i | −0.668235 | + | 0.278496i | ||||
\(359\) | 9.25686 | − | 16.0334i | 0.488559 | − | 0.846208i | −0.511355 | − | 0.859370i | \(-0.670856\pi\) |
0.999913 | + | 0.0131614i | \(0.00418952\pi\) | |||||||
\(360\) | 2.15988 | + | 15.6177i | 0.113835 | + | 0.823125i | ||||
\(361\) | 5.26334 | − | 3.03879i | 0.277018 | − | 0.159937i | ||||
\(362\) | 31.8944 | + | 4.12842i | 1.67633 | + | 0.216985i | ||||
\(363\) | −0.982278 | + | 0.982278i | −0.0515562 | + | 0.0515562i | ||||
\(364\) | 19.0991 | + | 4.79597i | 1.00106 | + | 0.251377i | ||||
\(365\) | 3.84917 | + | 3.84917i | 0.201475 | + | 0.201475i | ||||
\(366\) | −1.28386 | + | 0.989586i | −0.0671085 | + | 0.0517265i | ||||
\(367\) | 13.2213 | + | 22.9000i | 0.690149 | + | 1.19537i | 0.971789 | + | 0.235852i | \(0.0757882\pi\) |
−0.281640 | + | 0.959520i | \(0.590878\pi\) | |||||||
\(368\) | −17.3469 | + | 10.2175i | −0.904267 | + | 0.532622i | ||||
\(369\) | 28.8126 | + | 16.6350i | 1.49993 | + | 0.865982i | ||||
\(370\) | 3.32997 | + | 1.37084i | 0.173117 | + | 0.0712665i | ||||
\(371\) | −10.1042 | + | 5.98862i | −0.524584 | + | 0.310914i | ||||
\(372\) | 0.00828598 | + | 1.90471i | 0.000429608 | + | 0.0987545i | ||||
\(373\) | 1.23915 | + | 4.62458i | 0.0641609 | + | 0.239452i | 0.990558 | − | 0.137097i | \(-0.0437773\pi\) |
−0.926397 | + | 0.376549i | \(0.877111\pi\) | |||||||
\(374\) | −30.3531 | − | 23.1860i | −1.56952 | − | 1.19892i | ||||
\(375\) | −1.24609 | − | 2.15829i | −0.0643476 | − | 0.111453i | ||||
\(376\) | 9.35564 | + | 1.16964i | 0.482480 | + | 0.0603195i | ||||
\(377\) | −0.200469 | −0.0103247 | ||||||||
\(378\) | −2.83212 | − | 3.58875i | −0.145668 | − | 0.184585i | ||||
\(379\) | −6.89734 | − | 6.89734i | −0.354293 | − | 0.354293i | 0.507411 | − | 0.861704i | \(-0.330603\pi\) |
−0.861704 | + | 0.507411i | \(0.830603\pi\) | |||||||
\(380\) | 4.96427 | + | 18.2097i | 0.254662 | + | 0.934136i | ||||
\(381\) | 1.07318 | + | 0.287556i | 0.0549804 | + | 0.0147320i | ||||
\(382\) | 23.7375 | − | 3.17765i | 1.21452 | − | 0.162583i | ||||
\(383\) | −7.18887 | + | 12.4515i | −0.367334 | + | 0.636242i | −0.989148 | − | 0.146924i | \(-0.953063\pi\) |
0.621814 | + | 0.783165i | \(0.286396\pi\) | |||||||
\(384\) | 2.15682 | + | 0.855147i | 0.110065 | + | 0.0436390i | ||||
\(385\) | −15.0323 | − | 14.6927i | −0.766119 | − | 0.748809i | ||||
\(386\) | −23.1069 | − | 9.51238i | −1.17611 | − | 0.484167i | ||||
\(387\) | −3.64758 | − | 13.6129i | −0.185417 | − | 0.691985i | ||||
\(388\) | 12.3934 | + | 3.26310i | 0.629182 | + | 0.165659i | ||||
\(389\) | −19.2050 | − | 5.14596i | −0.973731 | − | 0.260910i | −0.263329 | − | 0.964706i | \(-0.584820\pi\) |
−0.710402 | + | 0.703796i | \(0.751487\pi\) | |||||||
\(390\) | −2.01710 | − | 0.261094i | −0.102140 | − | 0.0132210i | ||||
\(391\) | 32.2434i | 1.63062i | ||||||||
\(392\) | −18.0614 | + | 8.11076i | −0.912240 | + | 0.409655i | ||||
\(393\) | − | 2.05657i | − | 0.103740i | ||||||
\(394\) | 0.750665 | − | 5.79931i | 0.0378179 | − | 0.292165i | ||||
\(395\) | −11.4923 | − | 3.07936i | −0.578242 | − | 0.154939i | ||||
\(396\) | 12.5643 | + | 21.5449i | 0.631378 | + | 1.08267i | ||||
\(397\) | 5.88669 | + | 21.9694i | 0.295445 | + | 1.10261i | 0.940864 | + | 0.338786i | \(0.110016\pi\) |
−0.645419 | + | 0.763829i | \(0.723317\pi\) | |||||||
\(398\) | 1.95895 | − | 4.75857i | 0.0981933 | − | 0.238526i | ||||
\(399\) | −1.94310 | − | 1.89920i | −0.0972767 | − | 0.0950788i | ||||
\(400\) | 5.79443 | − | 0.0504156i | 0.289722 | − | 0.00252078i | ||||
\(401\) | 8.54981 | − | 14.8087i | 0.426957 | − | 0.739511i | −0.569644 | − | 0.821892i | \(-0.692919\pi\) |
0.996601 | + | 0.0823803i | \(0.0262522\pi\) | |||||||
\(402\) | −0.306065 | − | 2.28636i | −0.0152652 | − | 0.114033i | ||||
\(403\) | 16.6934 | + | 4.47298i | 0.831558 | + | 0.222815i | ||||
\(404\) | −4.84212 | − | 2.76758i | −0.240904 | − | 0.137692i | ||||
\(405\) | −11.4909 | − | 11.4909i | −0.570986 | − | 0.570986i | ||||
\(406\) | 0.158223 | − | 0.124864i | 0.00785248 | − | 0.00619691i | ||||
\(407\) | 5.69658 | 0.282369 | ||||||||
\(408\) | 2.93320 | − | 2.28129i | 0.145215 | − | 0.112941i | ||||
\(409\) | −1.08695 | − | 1.88266i | −0.0537464 | − | 0.0930915i | 0.837900 | − | 0.545823i | \(-0.183783\pi\) |
−0.891647 | + | 0.452732i | \(0.850450\pi\) | |||||||
\(410\) | −18.1964 | + | 23.8212i | −0.898658 | + | 1.17644i | ||||
\(411\) | 0.123321 | + | 0.460241i | 0.00608298 | + | 0.0227020i | ||||
\(412\) | 6.70933 | − | 6.76796i | 0.330545 | − | 0.333434i | ||||
\(413\) | −6.50073 | + | 3.85290i | −0.319880 | + | 0.189589i | ||||
\(414\) | 8.01476 | − | 19.4690i | 0.393904 | − | 0.956850i | ||||
\(415\) | 12.3821 | + | 7.14882i | 0.607814 | + | 0.350922i | ||||
\(416\) | 12.6330 | − | 16.8398i | 0.619386 | − | 0.825638i | ||||
\(417\) | −1.78773 | − | 3.09644i | −0.0875456 | − | 0.151633i | ||||
\(418\) | 18.2274 | + | 23.6477i | 0.891530 | + | 1.15665i | ||||
\(419\) | 15.8552 | + | 15.8552i | 0.774580 | + | 0.774580i | 0.978903 | − | 0.204324i | \(-0.0654996\pi\) |
−0.204324 | + | 0.978903i | \(0.565500\pi\) | |||||||
\(420\) | 1.75465 | − | 1.05030i | 0.0856180 | − | 0.0512493i | ||||
\(421\) | 4.41508 | − | 4.41508i | 0.215178 | − | 0.215178i | −0.591285 | − | 0.806463i | \(-0.701379\pi\) |
0.806463 | + | 0.591285i | \(0.201379\pi\) | |||||||
\(422\) | 1.40652 | − | 10.8662i | 0.0684685 | − | 0.528958i | ||||
\(423\) | −8.53920 | + | 4.93011i | −0.415190 | + | 0.239710i | ||||
\(424\) | 1.72016 | + | 12.4382i | 0.0835382 | + | 0.604050i | ||||
\(425\) | 4.64028 | − | 8.03720i | 0.225087 | − | 0.389862i | ||||
\(426\) | 1.13105 | + | 2.71389i | 0.0547997 | + | 0.131489i | ||||
\(427\) | −12.8901 | − | 7.24703i | −0.623797 | − | 0.350708i | ||||
\(428\) | 0.0776811 | + | 17.8566i | 0.00375486 | + | 0.863133i | ||||
\(429\) | −3.10784 | + | 0.832743i | −0.150048 | + | 0.0402052i | ||||
\(430\) | 12.5855 | − | 1.68478i | 0.606929 | − | 0.0812471i | ||||
\(431\) | −10.5207 | + | 6.07413i | −0.506764 | + | 0.292580i | −0.731503 | − | 0.681839i | \(-0.761181\pi\) |
0.224738 | + | 0.974419i | \(0.427847\pi\) | |||||||
\(432\) | −4.70959 | + | 1.30595i | −0.226590 | + | 0.0628326i | ||||
\(433\) | 2.59127i | 0.124528i | 0.998060 | + | 0.0622642i | \(0.0198321\pi\) | ||||
−0.998060 | + | 0.0622642i | \(0.980168\pi\) | |||||||
\(434\) | −15.9616 | + | 6.86729i | −0.766179 | + | 0.329640i | ||||
\(435\) | −0.0147207 | + | 0.0147207i | −0.000705805 | + | 0.000705805i | ||||
\(436\) | 15.3359 | + | 8.76547i | 0.734458 | + | 0.419790i | ||||
\(437\) | 6.52338 | − | 24.3456i | 0.312056 | − | 1.16461i | ||||
\(438\) | −0.508542 | + | 0.665738i | −0.0242991 | + | 0.0318102i | ||||
\(439\) | −18.7368 | − | 10.8177i | −0.894256 | − | 0.516299i | −0.0189240 | − | 0.999821i | \(-0.506024\pi\) |
−0.875332 | + | 0.483522i | \(0.839357\pi\) | |||||||
\(440\) | −20.7044 | + | 8.73476i | −0.987043 | + | 0.416413i | ||||
\(441\) | 9.94037 | − | 18.1635i | 0.473351 | − | 0.864927i | ||||
\(442\) | −12.9702 | − | 31.1212i | −0.616929 | − | 1.48028i | ||||
\(443\) | −23.1430 | + | 6.20114i | −1.09956 | + | 0.294625i | −0.762584 | − | 0.646890i | \(-0.776069\pi\) |
−0.336972 | + | 0.941515i | \(0.609403\pi\) | |||||||
\(444\) | −0.141107 | + | 0.535934i | −0.00669665 | + | 0.0254343i | ||||
\(445\) | 0.868317 | − | 3.24060i | 0.0411622 | − | 0.153619i | ||||
\(446\) | −21.7995 | + | 16.8028i | −1.03224 | + | 0.795636i | ||||
\(447\) | 4.80126 | 0.227092 | ||||||||
\(448\) | 0.518019 | + | 21.1597i | 0.0244741 | + | 0.999700i | ||||
\(449\) | 9.41030 | 0.444100 | 0.222050 | − | 0.975035i | \(-0.428725\pi\) | ||||
0.222050 | + | 0.975035i | \(0.428725\pi\) | |||||||
\(450\) | −4.79968 | + | 3.69954i | −0.226259 | + | 0.174398i | ||||
\(451\) | −12.2730 | + | 45.8033i | −0.577911 | + | 2.15679i | ||||
\(452\) | 3.89000 | − | 14.7745i | 0.182970 | − | 0.694933i | ||||
\(453\) | 0.926559 | − | 0.248271i | 0.0435336 | − | 0.0116648i | ||||
\(454\) | −6.94689 | − | 16.6686i | −0.326034 | − | 0.782297i | ||||
\(455\) | −5.00680 | − | 17.8665i | −0.234722 | − | 0.837595i | ||||
\(456\) | −2.67628 | + | 1.12907i | −0.125328 | + | 0.0528734i | ||||
\(457\) | 24.6248 | + | 14.2171i | 1.15190 | + | 0.665049i | 0.949349 | − | 0.314223i | \(-0.101744\pi\) |
0.202549 | + | 0.979272i | \(0.435077\pi\) | |||||||
\(458\) | −21.8680 | + | 28.6276i | −1.02182 | + | 1.33768i | ||||
\(459\) | −2.02587 | + | 7.56066i | −0.0945596 | + | 0.352901i | ||||
\(460\) | 16.4693 | + | 9.41327i | 0.767886 | + | 0.438896i | ||||
\(461\) | −3.31248 | + | 3.31248i | −0.154278 | + | 0.154278i | −0.780025 | − | 0.625748i | \(-0.784794\pi\) |
0.625748 | + | 0.780025i | \(0.284794\pi\) | |||||||
\(462\) | 1.93423 | − | 2.59300i | 0.0899883 | − | 0.120638i | ||||
\(463\) | − | 11.8198i | − | 0.549312i | −0.961543 | − | 0.274656i | \(-0.911436\pi\) | ||
0.961543 | − | 0.274656i | \(-0.0885639\pi\) | |||||||
\(464\) | −0.0575776 | − | 0.207639i | −0.00267298 | − | 0.00963942i | ||||
\(465\) | 1.55428 | − | 0.897363i | 0.0720780 | − | 0.0416142i | ||||
\(466\) | 1.62611 | − | 0.217681i | 0.0753282 | − | 0.0100839i | ||||
\(467\) | −7.19465 | + | 1.92780i | −0.332929 | + | 0.0892079i | −0.421411 | − | 0.906870i | \(-0.638465\pi\) |
0.0884824 | + | 0.996078i | \(0.471798\pi\) | |||||||
\(468\) | 0.0957729 | + | 22.0154i | 0.00442710 | + | 1.01766i | ||||
\(469\) | 18.1030 | − | 10.7294i | 0.835918 | − | 0.495437i | ||||
\(470\) | −3.41759 | − | 8.20031i | −0.157642 | − | 0.378252i | ||||
\(471\) | 1.82862 | − | 3.16727i | 0.0842585 | − | 0.145940i | ||||
\(472\) | 1.10670 | + | 8.00233i | 0.0509398 | + | 0.368337i | ||||
\(473\) | 17.3956 | − | 10.0434i | 0.799851 | − | 0.461794i | ||||
\(474\) | 0.235048 | − | 1.81588i | 0.0107961 | − | 0.0834063i | ||||
\(475\) | −5.12974 | + | 5.12974i | −0.235369 | + | 0.235369i | ||||
\(476\) | 29.6211 | + | 16.4842i | 1.35768 | + | 0.755553i | ||||
\(477\) | −9.28539 | − | 9.28539i | −0.425149 | − | 0.425149i | ||||
\(478\) | −14.4899 | − | 18.7989i | −0.662754 | − | 0.859839i | ||||
\(479\) | −20.1127 | − | 34.8362i | −0.918972 | − | 1.59171i | −0.800980 | − | 0.598691i | \(-0.795688\pi\) |
−0.117992 | − | 0.993015i | \(-0.537646\pi\) | |||||||
\(480\) | −0.308907 | − | 2.16423i | −0.0140996 | − | 0.0987833i | ||||
\(481\) | 4.35477 | + | 2.51423i | 0.198560 | + | 0.114639i | ||||
\(482\) | −14.9914 | + | 36.4163i | −0.682840 | + | 1.65872i | ||||
\(483\) | −2.73066 | + | 0.0312014i | −0.124249 | + | 0.00141971i | ||||
\(484\) | −9.53793 | + | 9.62128i | −0.433542 | + | 0.437331i | ||||
\(485\) | −3.12542 | − | 11.6642i | −0.141918 | − | 0.529646i | ||||
\(486\) | 4.66487 | − | 6.10683i | 0.211603 | − | 0.277011i | ||||
\(487\) | −20.6147 | − | 35.7057i | −0.934142 | − | 1.61798i | −0.776157 | − | 0.630540i | \(-0.782834\pi\) |
−0.157985 | − | 0.987442i | \(-0.550500\pi\) | |||||||
\(488\) | −12.4788 | + | 9.70535i | −0.564889 | + | 0.439340i | ||||
\(489\) | −4.53891 | −0.205257 | ||||||||
\(490\) | 15.0800 | + | 10.9829i | 0.681246 | + | 0.496156i | ||||
\(491\) | 4.78797 | + | 4.78797i | 0.216078 | + | 0.216078i | 0.806843 | − | 0.590765i | \(-0.201174\pi\) |
−0.590765 | + | 0.806843i | \(0.701174\pi\) | |||||||
\(492\) | −4.00517 | − | 2.28921i | −0.180567 | − | 0.103206i | ||||
\(493\) | −0.333339 | − | 0.0893180i | −0.0150129 | − | 0.00402268i | ||||
\(494\) | 3.49689 | + | 26.1224i | 0.157333 | + | 1.17530i | ||||
\(495\) | 11.7502 | − | 20.3520i | 0.528134 | − | 0.914755i | ||||
\(496\) | 0.161617 | + | 18.5752i | 0.00725682 | + | 0.834051i | ||||
\(497\) | −18.7481 | + | 19.1815i | −0.840966 | + | 0.860407i | ||||
\(498\) | −0.837622 | + | 2.03470i | −0.0375347 | + | 0.0911773i | ||||
\(499\) | 8.52472 | + | 31.8147i | 0.381619 | + | 1.42422i | 0.843428 | + | 0.537242i | \(0.180534\pi\) |
−0.461809 | + | 0.886979i | \(0.652799\pi\) | |||||||
\(500\) | −12.2440 | − | 20.9957i | −0.547566 | − | 0.938955i | ||||
\(501\) | 0.0602935 | + | 0.0161556i | 0.00269371 | + | 0.000721778i | ||||
\(502\) | −1.67131 | + | 12.9118i | −0.0745943 | + | 0.576283i | ||||
\(503\) | − | 10.1678i | − | 0.453360i | −0.973969 | − | 0.226680i | \(-0.927213\pi\) | ||
0.973969 | − | 0.226680i | \(-0.0727872\pi\) | |||||||
\(504\) | −13.7881 | − | 17.3163i | −0.614172 | − | 0.771331i | ||||
\(505\) | 5.25515i | 0.233851i | ||||||||
\(506\) | 29.7599 | + | 3.85213i | 1.32299 | + | 0.171248i | ||||
\(507\) | −0.168202 | − | 0.0450695i | −0.00747010 | − | 0.00200161i | ||||
\(508\) | 10.4783 | + | 2.75885i | 0.464898 | + | 0.122404i | ||||
\(509\) | −6.77435 | − | 25.2822i | −0.300268 | − | 1.12061i | −0.936943 | − | 0.349483i | \(-0.886357\pi\) |
0.636675 | − | 0.771132i | \(-0.280309\pi\) | |||||||
\(510\) | −3.23769 | − | 1.33285i | −0.143367 | − | 0.0590197i | ||||
\(511\) | −7.40420 | − | 1.89355i | −0.327542 | − | 0.0837656i | ||||
\(512\) | 21.0705 | + | 8.24827i | 0.931193 | + | 0.364525i | ||||
\(513\) | 3.05930 | − | 5.29886i | 0.135071 | − | 0.233950i | ||||
\(514\) | 12.4271 | − | 1.66356i | 0.548135 | − | 0.0733766i | ||||
\(515\) | −8.67364 | − | 2.32410i | −0.382206 | − | 0.102412i | ||||
\(516\) | 0.513981 | + | 1.88536i | 0.0226268 | + | 0.0829983i | ||||
\(517\) | −9.93739 | − | 9.93739i | −0.437046 | − | 0.437046i | ||||
\(518\) | −5.00308 | + | 0.728022i | −0.219823 | + | 0.0319875i | ||||
\(519\) | −4.00055 | −0.175605 | ||||||||
\(520\) | −19.6827 | − | 2.46072i | −0.863143 | − | 0.107910i | ||||
\(521\) | 11.2818 | + | 19.5406i | 0.494264 | + | 0.856090i | 0.999978 | − | 0.00661081i | \(-0.00210430\pi\) |
−0.505714 | + | 0.862701i | \(0.668771\pi\) | |||||||
\(522\) | 0.179073 | + | 0.136790i | 0.00783783 | + | 0.00598714i | ||||
\(523\) | −2.14641 | − | 8.01049i | −0.0938558 | − | 0.350274i | 0.902988 | − | 0.429666i | \(-0.141369\pi\) |
−0.996843 | + | 0.0793919i | \(0.974702\pi\) | |||||||
\(524\) | −0.0872515 | − | 20.0566i | −0.00381160 | − | 0.876177i | ||||
\(525\) | 0.685152 | + | 0.385203i | 0.0299025 | + | 0.0168116i | ||||
\(526\) | 7.51713 | + | 3.09456i | 0.327762 | + | 0.134929i | ||||
\(527\) | 25.7648 | + | 14.8753i | 1.12233 | + | 0.647980i | ||||
\(528\) | −1.75515 | − | 2.97982i | −0.0763829 | − | 0.129680i | ||||
\(529\) | −1.16594 | − | 2.01946i | −0.0506930 | − | 0.0878028i | ||||
\(530\) | 9.37079 | − | 7.22289i | 0.407041 | − | 0.313743i | ||||
\(531\) | −5.97393 | − | 5.97393i | −0.259247 | − | 0.259247i | ||||
\(532\) | −19.0306 | − | 18.4394i | −0.825079 | − | 0.799448i | ||||
\(533\) | −29.5977 | + | 29.5977i | −1.28202 | + | 1.28202i | ||||
\(534\) | 0.512042 | + | 0.0662789i | 0.0221582 | + | 0.00286817i | ||||
\(535\) | 14.5714 | − | 8.41278i | 0.629975 | − | 0.363716i | ||||
\(536\) | −3.08189 | − | 22.2846i | −0.133117 | − | 0.962547i | ||||
\(537\) | −0.993151 | + | 1.72019i | −0.0428576 | + | 0.0742316i | ||||
\(538\) | 8.48774 | − | 3.53738i | 0.365932 | − | 0.152507i | ||||
\(539\) | 28.6729 | + | 6.98476i | 1.23503 | + | 0.300855i | ||||
\(540\) | 3.27040 | + | 3.24207i | 0.140736 | + | 0.139516i | ||||
\(541\) | 9.32094 | − | 2.49754i | 0.400738 | − | 0.107378i | −0.0528201 | − | 0.998604i | \(-0.516821\pi\) |
0.453558 | + | 0.891227i | \(0.350154\pi\) | |||||||
\(542\) | 4.76865 | + | 35.6226i | 0.204831 | + | 1.53012i | ||||
\(543\) | 4.03878 | − | 2.33179i | 0.173321 | − | 0.100067i | ||||
\(544\) | 28.5091 | − | 22.3726i | 1.22232 | − | 0.959215i | ||||
\(545\) | − | 16.6441i | − | 0.712954i | ||||||
\(546\) | 2.62307 | − | 1.12855i | 0.112257 | − | 0.0482973i | ||||
\(547\) | 29.7649 | − | 29.7649i | 1.27265 | − | 1.27265i | 0.327965 | − | 0.944690i | \(-0.393637\pi\) |
0.944690 | − | 0.327965i | \(-0.106363\pi\) | |||||||
\(548\) | 1.22221 | + | 4.48324i | 0.0522101 | + | 0.191514i | ||||
\(549\) | 4.27894 | − | 15.9692i | 0.182621 | − | 0.681551i | ||||
\(550\) | −6.86378 | − | 5.24308i | −0.292673 | − | 0.223566i | ||||
\(551\) | 0.233620 | + | 0.134880i | 0.00995254 | + | 0.00574610i | ||||
\(552\) | −1.09958 | + | 2.70439i | −0.0468011 | + | 0.115107i | ||||
\(553\) | 16.0843 | − | 4.50735i | 0.683972 | − | 0.191672i | ||||
\(554\) | 11.9485 | − | 4.97970i | 0.507643 | − | 0.211567i | ||||
\(555\) | 0.504401 | − | 0.135154i | 0.0214106 | − | 0.00573696i | ||||
\(556\) | −17.5661 | − | 30.1220i | −0.744969 | − | 1.27746i | ||||
\(557\) | −10.3052 | + | 38.4597i | −0.436647 | + | 1.62959i | 0.300447 | + | 0.953798i | \(0.402864\pi\) |
−0.737094 | + | 0.675790i | \(0.763803\pi\) | |||||||
\(558\) | −11.8596 | − | 15.3863i | −0.502057 | − | 0.651355i | ||||
\(559\) | 17.7308 | 0.749935 | ||||||||
\(560\) | 17.0675 | − | 10.3174i | 0.721235 | − | 0.435990i | ||||
\(561\) | −5.53873 | −0.233845 | ||||||||
\(562\) | −7.25509 | − | 9.41255i | −0.306037 | − | 0.397044i | ||||
\(563\) | −0.548530 | + | 2.04714i | −0.0231178 | + | 0.0862768i | −0.976521 | − | 0.215422i | \(-0.930887\pi\) |
0.953403 | + | 0.301699i | \(0.0975538\pi\) | |||||||
\(564\) | 1.18106 | − | 0.688755i | 0.0497318 | − | 0.0290018i | ||||
\(565\) | −13.9052 | + | 3.72588i | −0.584994 | + | 0.156749i | ||||
\(566\) | 32.6625 | − | 13.6126i | 1.37291 | − | 0.572178i | ||||
\(567\) | 22.1036 | + | 5.65278i | 0.928266 | + | 0.237395i | ||||
\(568\) | 11.1457 | + | 26.4191i | 0.467662 | + | 1.10852i | ||||
\(569\) | −33.5719 | − | 19.3827i | −1.40741 | − | 0.812567i | −0.412270 | − | 0.911062i | \(-0.635264\pi\) |
−0.995138 | + | 0.0984951i | \(0.968597\pi\) | |||||||
\(570\) | 2.17499 | + | 1.66142i | 0.0911001 | + | 0.0695893i | ||||
\(571\) | 0.0502427 | − | 0.187508i | 0.00210259 | − | 0.00784698i | −0.964867 | − | 0.262740i | \(-0.915374\pi\) |
0.966969 | + | 0.254893i | \(0.0820404\pi\) | |||||||
\(572\) | −30.2737 | + | 8.25313i | −1.26581 | + | 0.345081i | ||||
\(573\) | 2.45570 | − | 2.45570i | 0.102588 | − | 0.102588i | ||||
\(574\) | 4.92519 | − | 41.7957i | 0.205574 | − | 1.74452i | ||||
\(575\) | 7.29124i | 0.304066i | ||||||||
\(576\) | −22.7754 | + | 6.42235i | −0.948973 | + | 0.267598i | ||||
\(577\) | −11.9483 | + | 6.89836i | −0.497415 | + | 0.287182i | −0.727645 | − | 0.685954i | \(-0.759385\pi\) |
0.230231 | + | 0.973136i | \(0.426052\pi\) | |||||||
\(578\) | −4.51100 | − | 33.6979i | −0.187633 | − | 1.40165i | ||||
\(579\) | −3.50008 | + | 0.937845i | −0.145459 | + | 0.0389755i | ||||
\(580\) | −0.142939 | + | 0.144188i | −0.00593520 | + | 0.00598707i | ||||
\(581\) | −20.0719 | + | 0.229348i | −0.832724 | + | 0.00951498i | ||||
\(582\) | 1.71541 | − | 0.714920i | 0.0711059 | − | 0.0296344i | ||||
\(583\) | 9.35806 | − | 16.2086i | 0.387571 | − | 0.671293i | ||||
\(584\) | −4.93128 | + | 6.51414i | −0.204058 | + | 0.269557i | ||||
\(585\) | 17.9650 | − | 10.3721i | 0.742762 | − | 0.428834i | ||||
\(586\) | −30.2584 | − | 3.91665i | −1.24996 | − | 0.161795i | ||||
\(587\) | −6.91792 | + | 6.91792i | −0.285533 | + | 0.285533i | −0.835311 | − | 0.549778i | \(-0.814712\pi\) |
0.549778 | + | 0.835311i | \(0.314712\pi\) | |||||||
\(588\) | −1.36737 | + | 2.52453i | −0.0563893 | + | 0.104110i | ||||
\(589\) | −16.4444 | − | 16.4444i | −0.677579 | − | 0.677579i | ||||
\(590\) | 6.02888 | − | 4.64699i | 0.248205 | − | 0.191314i | ||||
\(591\) | −0.423987 | − | 0.734366i | −0.0174405 | − | 0.0302078i | ||||
\(592\) | −1.35340 | + | 5.23265i | −0.0556245 | + | 0.215061i | ||||
\(593\) | 2.83209 | + | 1.63511i | 0.116300 | + | 0.0671458i | 0.557022 | − | 0.830498i | \(-0.311944\pi\) |
−0.440722 | + | 0.897644i | \(0.645277\pi\) | |||||||
\(594\) | 6.73629 | + | 2.77311i | 0.276393 | + | 0.113782i | ||||
\(595\) | −0.364947 | − | 31.9391i | −0.0149614 | − | 1.30938i | ||||
\(596\) | 46.8240 | − | 0.203697i | 1.91799 | − | 0.00834374i | ||||
\(597\) | −0.193137 | − | 0.720796i | −0.00790456 | − | 0.0295002i | ||||
\(598\) | 21.0499 | + | 16.0795i | 0.860794 | + | 0.657541i | ||||
\(599\) | 4.92332 | + | 8.52744i | 0.201161 | + | 0.348422i | 0.948903 | − | 0.315568i | \(-0.102195\pi\) |
−0.747741 | + | 0.663990i | \(0.768862\pi\) | |||||||
\(600\) | 0.663289 | − | 0.515871i | 0.0270786 | − | 0.0210603i | ||||
\(601\) | 15.8611 | 0.646986 | 0.323493 | − | 0.946230i | \(-0.395143\pi\) | ||||
0.323493 | + | 0.946230i | \(0.395143\pi\) | |||||||
\(602\) | −13.9943 | + | 11.0438i | −0.570366 | + | 0.450113i | ||||
\(603\) | 16.6360 | + | 16.6360i | 0.677470 | + | 0.677470i | ||||
\(604\) | 9.02568 | − | 2.46056i | 0.367250 | − | 0.100119i | ||||
\(605\) | 12.3304 | + | 3.30392i | 0.501301 | + | 0.134323i | ||||
\(606\) | −0.801605 | + | 0.107308i | −0.0325630 | + | 0.00435907i | ||||
\(607\) | −22.0856 | + | 38.2533i | −0.896425 | + | 1.55265i | −0.0643943 | + | 0.997925i | \(0.520512\pi\) |
−0.832031 | + | 0.554729i | \(0.812822\pi\) | |||||||
\(608\) | −26.0523 | + | 11.1247i | −1.05656 | + | 0.451166i | ||||
\(609\) | 0.00724168 | − | 0.0283166i | 0.000293448 | − | 0.00114745i | ||||
\(610\) | 13.7742 | + | 5.67040i | 0.557702 | + | 0.229588i | ||||
\(611\) | −3.21073 | − | 11.9826i | −0.129892 | − | 0.484764i | ||||
\(612\) | −9.64962 | + | 36.6499i | −0.390063 | + | 1.48148i | ||||
\(613\) | 25.9269 | + | 6.94710i | 1.04718 | + | 0.280591i | 0.741085 | − | 0.671411i | \(-0.234311\pi\) |
0.306093 | + | 0.952002i | \(0.400978\pi\) | |||||||
\(614\) | 14.8141 | + | 1.91754i | 0.597849 | + | 0.0773857i | ||||
\(615\) | 4.34681i | 0.175280i | ||||||||
\(616\) | 18.7534 | − | 25.3702i | 0.755596 | − | 1.02219i | ||||
\(617\) | 26.5771i | 1.06995i | 0.844867 | + | 0.534977i | \(0.179680\pi\) | ||||
−0.844867 | + | 0.534977i | \(0.820320\pi\) | |||||||
\(618\) | 0.177399 | − | 1.37051i | 0.00713603 | − | 0.0551299i | ||||
\(619\) | −34.5211 | − | 9.24990i | −1.38752 | − | 0.371785i | −0.513673 | − | 0.857986i | \(-0.671716\pi\) |
−0.873847 | + | 0.486201i | \(0.838382\pi\) | |||||||
\(620\) | 15.1199 | − | 8.81742i | 0.607231 | − | 0.354116i | ||||
\(621\) | −1.59162 | − | 5.94000i | −0.0638694 | − | 0.238364i | ||||
\(622\) | 3.24938 | − | 7.89321i | 0.130288 | − | 0.316489i | ||||
\(623\) | 1.27098 | + | 4.53543i | 0.0509208 | + | 0.181708i | ||||
\(624\) | −0.0265596 | − | 3.05258i | −0.00106323 | − | 0.122201i | ||||
\(625\) | −7.82903 | + | 13.5603i | −0.313161 | + | 0.542411i | ||||
\(626\) | 2.30913 | + | 17.2495i | 0.0922912 | + | 0.689430i | ||||
\(627\) | 4.18206 | + | 1.12058i | 0.167015 | + | 0.0447516i | ||||
\(628\) | 17.6992 | − | 30.9662i | 0.706274 | − | 1.23569i | ||||
\(629\) | 6.12090 | + | 6.12090i | 0.244056 | + | 0.244056i | ||||
\(630\) | −7.71878 | + | 19.3760i | −0.307524 | + | 0.771960i | ||||
\(631\) | 30.1246 | 1.19924 | 0.599622 | − | 0.800284i | \(-0.295318\pi\) | ||||
0.599622 | + | 0.800284i | \(0.295318\pi\) | |||||||
\(632\) | 2.21526 | − | 17.7193i | 0.0881182 | − | 0.704834i | ||||
\(633\) | −0.794426 | − | 1.37599i | −0.0315756 | − | 0.0546905i | ||||
\(634\) | −6.17913 | + | 8.08917i | −0.245405 | + | 0.321262i | ||||
\(635\) | −2.64245 | − | 9.86175i | −0.104862 | − | 0.391352i | ||||
\(636\) | 1.29310 | + | 1.28190i | 0.0512749 | + | 0.0508307i | ||||
\(637\) | 18.8363 | + | 17.9945i | 0.746321 | + | 0.712968i | ||||
\(638\) | −0.122263 | + | 0.296994i | −0.00484043 | + | 0.0117581i | ||||
\(639\) | −25.9694 | − | 14.9935i | −1.02734 | − | 0.593132i | ||||
\(640\) | −3.10442 | − | 21.0935i | −0.122713 | − | 0.833792i | ||||
\(641\) | 9.49750 | + | 16.4501i | 0.375129 | + | 0.649742i | 0.990346 | − | 0.138616i | \(-0.0442652\pi\) |
−0.615218 | + | 0.788357i | \(0.710932\pi\) | |||||||
\(642\) | 1.58080 | + | 2.05089i | 0.0623892 | + | 0.0809420i | ||||
\(643\) | 10.7261 | + | 10.7261i | 0.422996 | + | 0.422996i | 0.886234 | − | 0.463238i | \(-0.153312\pi\) |
−0.463238 | + | 0.886234i | \(0.653312\pi\) | |||||||
\(644\) | −26.6292 | + | 0.420139i | −1.04934 | + | 0.0165558i | ||||
\(645\) | 1.30200 | − | 1.30200i | 0.0512663 | − | 0.0512663i | ||||
\(646\) | −5.82406 | + | 44.9942i | −0.229145 | + | 1.77027i | ||||
\(647\) | −14.9430 | + | 8.62736i | −0.587471 | + | 0.339177i | −0.764097 | − | 0.645101i | \(-0.776815\pi\) |
0.176626 | + | 0.984278i | \(0.443482\pi\) | |||||||
\(648\) | 14.7213 | − | 19.4466i | 0.578307 | − | 0.763934i | ||||
\(649\) | 6.02069 | − | 10.4281i | 0.236333 | − | 0.409341i | ||||
\(650\) | −2.93297 | − | 7.03747i | −0.115040 | − | 0.276032i | ||||
\(651\) | −1.23484 | + | 2.19639i | −0.0483973 | + | 0.0860833i | ||||
\(652\) | −44.2655 | + | 0.192566i | −1.73357 | + | 0.00754148i | ||||
\(653\) | −23.8690 | + | 6.39567i | −0.934065 | + | 0.250282i | −0.693587 | − | 0.720372i | \(-0.743971\pi\) |
−0.240478 | + | 0.970655i | \(0.577304\pi\) | |||||||
\(654\) | 2.53884 | − | 0.339864i | 0.0992764 | − | 0.0132897i | ||||
\(655\) | −16.3666 | + | 9.44925i | −0.639495 | + | 0.369213i | ||||
\(656\) | −39.1573 | − | 22.1555i | −1.52884 | − | 0.865026i | ||||
\(657\) | − | 8.54429i | − | 0.333344i | ||||||
\(658\) | 9.99761 | + | 7.45761i | 0.389747 | + | 0.290728i | ||||
\(659\) | 30.2881 | − | 30.2881i | 1.17986 | − | 1.17986i | 0.200079 | − | 0.979780i | \(-0.435880\pi\) |
0.979780 | − | 0.200079i | \(-0.0641198\pi\) | |||||||
\(660\) | −1.61700 | + | 2.82908i | −0.0629417 | + | 0.110122i | ||||
\(661\) | −7.57588 | + | 28.2736i | −0.294668 | + | 1.09971i | 0.646813 | + | 0.762648i | \(0.276101\pi\) |
−0.941481 | + | 0.337066i | \(0.890565\pi\) | |||||||
\(662\) | −6.66192 | + | 8.72120i | −0.258923 | + | 0.338959i | ||||
\(663\) | −4.23410 | − | 2.44456i | −0.164439 | − | 0.0949388i | ||||
\(664\) | −8.08253 | + | 19.8789i | −0.313663 | + | 0.771450i | ||||
\(665\) | −6.18628 | + | 24.1897i | −0.239894 | + | 0.938037i | ||||
\(666\) | −2.17441 | − | 5.21736i | −0.0842567 | − | 0.202169i | ||||
\(667\) | 0.261887 | − | 0.0701723i | 0.0101403 | − | 0.00271708i | ||||
\(668\) | 0.588694 | + | 0.154998i | 0.0227772 | + | 0.00599707i | ||||
\(669\) | −1.03300 | + | 3.85521i | −0.0399381 | + | 0.149051i | ||||
\(670\) | −16.7890 | + | 12.9408i | −0.648615 | + | 0.499945i | ||||
\(671\) | 23.5636 | 0.909662 | ||||||||
\(672\) | 1.92230 | + | 2.39275i | 0.0741541 | + | 0.0923024i | ||||
\(673\) | −15.2355 | −0.587285 | −0.293643 | − | 0.955915i | \(-0.594868\pi\) | ||||
−0.293643 | + | 0.955915i | \(0.594868\pi\) | |||||||
\(674\) | −18.7419 | + | 14.4461i | −0.721913 | + | 0.556442i | ||||
\(675\) | −0.458113 | + | 1.70970i | −0.0176328 | + | 0.0658065i | ||||
\(676\) | −1.64229 | − | 0.432402i | −0.0631650 | − | 0.0166308i | ||||
\(677\) | 14.6120 | − | 3.91529i | 0.561587 | − | 0.150477i | 0.0331514 | − | 0.999450i | \(-0.489446\pi\) |
0.528435 | + | 0.848974i | \(0.322779\pi\) | |||||||
\(678\) | −0.852270 | − | 2.04497i | −0.0327312 | − | 0.0785366i | ||||
\(679\) | 12.1243 | + | 11.8504i | 0.465288 | + | 0.454775i | ||||
\(680\) | −31.6320 | − | 12.8612i | −1.21303 | − | 0.493205i | ||||
\(681\) | −2.26780 | − | 1.30932i | −0.0869024 | − | 0.0501731i | ||||
\(682\) | 16.8077 | − | 22.0032i | 0.643601 | − | 0.842546i | ||||
\(683\) | 1.13536 | − | 4.23720i | 0.0434432 | − | 0.162132i | −0.940796 | − | 0.338972i | \(-0.889921\pi\) |
0.984240 | + | 0.176840i | \(0.0565875\pi\) | |||||||
\(684\) | 14.7009 | − | 25.7205i | 0.562103 | − | 0.983447i | ||||
\(685\) | 3.09606 | − | 3.09606i | 0.118294 | − | 0.118294i | ||||
\(686\) | −26.0749 | − | 2.47004i | −0.995543 | − | 0.0943067i | ||||
\(687\) | 5.22387i | 0.199303i | ||||||||
\(688\) | 5.09256 | + | 18.3650i | 0.194152 | + | 0.700160i | ||||
\(689\) | 14.3076 | − | 8.26050i | 0.545076 | − | 0.314700i | ||||
\(690\) | 2.72647 | − | 0.364981i | 0.103795 | − | 0.0138946i | ||||
\(691\) | −43.1477 | + | 11.5614i | −1.64142 | + | 0.439816i | −0.957192 | − | 0.289455i | \(-0.906526\pi\) |
−0.684225 | + | 0.729271i | \(0.739859\pi\) | |||||||
\(692\) | −39.0152 | + | 0.169726i | −1.48313 | + | 0.00645202i | ||||
\(693\) | 0.376971 | + | 32.9915i | 0.0143200 | + | 1.25324i | ||||
\(694\) | −6.50302 | − | 15.6036i | −0.246851 | − | 0.592304i | ||||
\(695\) | −16.4280 | + | 28.4542i | −0.623151 | + | 1.07933i | ||||
\(696\) | −0.0249127 | − | 0.0188592i | −0.000944312 | − | 0.000714855i | ||||
\(697\) | −62.4022 | + | 36.0279i | −2.36365 | + | 1.36465i | ||||
\(698\) | −1.70937 | + | 13.2059i | −0.0647007 | + | 0.499849i | ||||
\(699\) | 0.168225 | − | 0.168225i | 0.00636285 | − | 0.00636285i | ||||
\(700\) | 6.69825 | + | 3.72760i | 0.253170 | + | 0.140890i | ||||
\(701\) | −14.3674 | − | 14.3674i | −0.542648 | − | 0.542648i | 0.381656 | − | 0.924304i | \(-0.375354\pi\) |
−0.924304 | + | 0.381656i | \(0.875354\pi\) | |||||||
\(702\) | 3.92564 | + | 5.09302i | 0.148164 | + | 0.192224i | ||||
\(703\) | −3.38327 | − | 5.85999i | −0.127602 | − | 0.221014i | ||||
\(704\) | −17.2434 | − | 28.9861i | −0.649884 | − | 1.09245i | ||||
\(705\) | −1.11567 | − | 0.644132i | −0.0420185 | − | 0.0242594i | ||||
\(706\) | 7.76815 | − | 18.8700i | 0.292358 | − | 0.710180i | ||||
\(707\) | −3.76176 | − | 6.34697i | −0.141476 | − | 0.238702i | ||||
\(708\) | 0.831944 | + | 0.824737i | 0.0312664 | + | 0.0309955i | ||||
\(709\) | 6.31364 | + | 23.5628i | 0.237114 | + | 0.884921i | 0.977185 | + | 0.212392i | \(0.0681253\pi\) |
−0.740071 | + | 0.672529i | \(0.765208\pi\) | |||||||
\(710\) | 16.4008 | − | 21.4705i | 0.615513 | − | 0.805775i | ||||
\(711\) | 9.33745 | + | 16.1729i | 0.350182 | + | 0.606533i | ||||
\(712\) | 4.99647 | + | 0.624657i | 0.187251 | + | 0.0234100i | ||||
\(713\) | −23.3735 | −0.875344 | ||||||||
\(714\) | 4.86445 | − | 0.707849i | 0.182047 | − | 0.0264906i | ||||
\(715\) | 20.9066 | + | 20.9066i | 0.781862 | + | 0.781862i | ||||
\(716\) | −9.61266 | + | 16.8182i | −0.359242 | + | 0.628524i | ||||
\(717\) | −3.32455 | − | 0.890810i | −0.124158 | − | 0.0332679i | ||||
\(718\) | −3.47394 | − | 25.9509i | −0.129646 | − | 0.968478i | ||||
\(719\) | 12.8743 | − | 22.2990i | 0.480131 | − | 0.831612i | −0.519609 | − | 0.854404i | \(-0.673922\pi\) |
0.999740 | + | 0.0227924i | \(0.00725569\pi\) | |||||||
\(720\) | 15.9029 | + | 15.6286i | 0.592667 | + | 0.582442i | ||||
\(721\) | 12.1393 | − | 3.40185i | 0.452092 | − | 0.126691i | ||||
\(722\) | 3.27189 | − | 7.94789i | 0.121767 | − | 0.295790i | ||||
\(723\) | 1.47803 | + | 5.51610i | 0.0549687 | + | 0.205146i | ||||
\(724\) | 39.2891 | − | 22.9120i | 1.46017 | − | 0.851518i | ||||
\(725\) | −0.0753785 | − | 0.0201976i | −0.00279949 | − | 0.000750120i | ||||
\(726\) | −0.252189 | + | 1.94830i | −0.00935960 | + | 0.0723083i | ||||
\(727\) | 22.1198i | 0.820379i | 0.912000 | + | 0.410189i | \(0.134537\pi\) | ||||
−0.912000 | + | 0.410189i | \(0.865463\pi\) | |||||||
\(728\) | 25.5334 | − | 11.1174i | 0.946331 | − | 0.412037i | ||||
\(729\) | 24.7554i | 0.916868i | ||||||||
\(730\) | 7.63464 | + | 0.988230i | 0.282571 | + | 0.0365760i | ||||
\(731\) | 29.4828 | + | 7.89989i | 1.09046 | + | 0.292188i | ||||
\(732\) | −0.583682 | + | 2.21686i | −0.0215735 | + | 0.0819376i | ||||
\(733\) | 3.93153 | + | 14.6727i | 0.145215 | + | 0.541948i | 0.999746 | + | 0.0225480i | \(0.00717786\pi\) |
−0.854531 | + | 0.519400i | \(0.826155\pi\) | |||||||
\(734\) | 34.5801 | + | 14.2355i | 1.27637 | + | 0.525442i | ||||
\(735\) | 2.70454 | − | 0.0618140i | 0.0997584 | − | 0.00228004i | ||||
\(736\) | −10.6088 | + | 26.4211i | −0.391046 | + | 0.973894i | ||||
\(737\) | −16.7662 | + | 29.0399i | −0.617591 | + | 1.06970i | ||||
\(738\) | 46.6348 | − | 6.24282i | 1.71665 | − | 0.229801i | ||||
\(739\) | −13.0301 | − | 3.49139i | −0.479318 | − | 0.128433i | 0.0110668 | − | 0.999939i | \(-0.496477\pi\) |
−0.490385 | + | 0.871506i | \(0.663144\pi\) | |||||||
\(740\) | 4.91340 | − | 1.33948i | 0.180620 | − | 0.0492402i | ||||
\(741\) | 2.70241 | + | 2.70241i | 0.0992756 | + | 0.0992756i | ||||
\(742\) | −6.14735 | + | 15.4314i | −0.225676 | + | 0.566503i | ||||
\(743\) | 3.36537 | 0.123463 | 0.0617317 | − | 0.998093i | \(-0.480338\pi\) | ||||
0.0617317 | + | 0.998093i | \(0.480338\pi\) | |||||||
\(744\) | 1.65372 | + | 2.12630i | 0.0606285 | + | 0.0779540i | ||||
\(745\) | −22.0602 | − | 38.2093i | −0.808221 | − | 1.39988i | ||||
\(746\) | 5.38064 | + | 4.11014i | 0.196999 | + | 0.150483i | ||||
\(747\) | −5.80837 | − | 21.6771i | −0.212517 | − | 0.793125i | ||||
\(748\) | −54.0161 | + | 0.234984i | −1.97503 | + | 0.00859188i | ||||
\(749\) | −11.5767 | + | 20.5912i | −0.423002 | + | 0.752385i | ||||
\(750\) | −3.25911 | − | 1.34167i | −0.119006 | − | 0.0489908i | ||||
\(751\) | −45.7638 | − | 26.4217i | −1.66994 | − | 0.964143i | −0.967664 | − | 0.252243i | \(-0.918832\pi\) |
−0.702281 | − | 0.711900i | \(-0.747835\pi\) | |||||||
\(752\) | 11.4890 | − | 6.76715i | 0.418962 | − | 0.246773i | ||||
\(753\) | 0.943981 | + | 1.63502i | 0.0344006 | + | 0.0595836i | ||||
\(754\) | −0.224545 | + | 0.173076i | −0.00817743 | + | 0.00630307i | ||||
\(755\) | −6.23301 | − | 6.23301i | −0.226842 | − | 0.226842i | ||||
\(756\) | −6.27061 | − | 1.57461i | −0.228060 | − | 0.0572682i | ||||
\(757\) | 16.0570 | − | 16.0570i | 0.583603 | − | 0.583603i | −0.352289 | − | 0.935891i | \(-0.614596\pi\) |
0.935891 | + | 0.352289i | \(0.114596\pi\) | |||||||
\(758\) | −13.6806 | − | 1.77082i | −0.496900 | − | 0.0643189i | ||||
\(759\) | 3.76849 | − | 2.17574i | 0.136788 | − | 0.0789744i | ||||
\(760\) | 21.2819 | + | 16.1106i | 0.771976 | + | 0.584394i | ||||
\(761\) | 14.6707 | − | 25.4105i | 0.531814 | − | 0.921129i | −0.467496 | − | 0.883995i | \(-0.654844\pi\) |
0.999310 | − | 0.0371337i | \(-0.0118227\pi\) | |||||||
\(762\) | 1.45032 | − | 0.604443i | 0.0525397 | − | 0.0218966i | ||||
\(763\) | 11.9142 | + | 20.1021i | 0.431324 | + | 0.727744i | ||||
\(764\) | 23.8449 | − | 24.0532i | 0.862677 | − | 0.870216i | ||||
\(765\) | 34.4934 | − | 9.24249i | 1.24711 | − | 0.334163i | ||||
\(766\) | 2.69786 | + | 20.1534i | 0.0974776 | + | 0.728173i | ||||
\(767\) | 9.20508 | − | 5.31455i | 0.332376 | − | 0.191897i | ||||
\(768\) | 3.15414 | − | 0.904256i | 0.113815 | − | 0.0326295i | ||||
\(769\) | − | 38.0004i | − | 1.37033i | −0.728388 | − | 0.685165i | \(-0.759730\pi\) | ||
0.728388 | − | 0.685165i | \(-0.240270\pi\) | |||||||
\(770\) | −29.5227 | − | 3.47895i | −1.06392 | − | 0.125373i | ||||
\(771\) | 1.28561 | − | 1.28561i | 0.0463000 | − | 0.0463000i | ||||
\(772\) | −34.0946 | + | 9.29477i | −1.22709 | + | 0.334526i | ||||
\(773\) | −0.283872 | + | 1.05943i | −0.0102102 | + | 0.0381049i | −0.970843 | − | 0.239716i | \(-0.922946\pi\) |
0.960633 | + | 0.277821i | \(0.0896123\pi\) | |||||||
\(774\) | −15.8385 | − | 12.0986i | −0.569302 | − | 0.434876i | ||||
\(775\) | 5.82623 | + | 3.36378i | 0.209285 | + | 0.120830i | ||||
\(776\) | 16.6991 | − | 7.04499i | 0.599462 | − | 0.252900i | ||||
\(777\) | −0.512449 | + | 0.524295i | −0.0183840 | + | 0.0188090i | ||||
\(778\) | −25.9542 | + | 10.8168i | −0.930503 | + | 0.387800i | ||||
\(779\) | 54.4063 | − | 14.5781i | 1.94931 | − | 0.522315i | ||||
\(780\) | −2.48476 | + | 1.44902i | −0.0889686 | + | 0.0518834i | ||||
\(781\) | 11.0619 | − | 41.2835i | 0.395826 | − | 1.47724i | ||||
\(782\) | 27.8375 | + | 36.1157i | 0.995468 | + | 1.29149i | ||||
\(783\) | 0.0658181 | 0.00235215 | ||||||||
\(784\) | −13.2281 | + | 24.6783i | −0.472431 | + | 0.881368i | ||||
\(785\) | −33.6076 | −1.19951 | ||||||||
\(786\) | −1.77556 | − | 2.30356i | −0.0633320 | − | 0.0821652i | ||||
\(787\) | 11.7363 | − | 43.8003i | 0.418352 | − | 1.56131i | −0.359673 | − | 0.933078i | \(-0.617112\pi\) |
0.778025 | − | 0.628233i | \(-0.216222\pi\) | |||||||
\(788\) | −4.16606 | − | 7.14388i | −0.148410 | − | 0.254490i | ||||
\(789\) | 1.13864 | − | 0.305099i | 0.0405368 | − | 0.0108618i | ||||
\(790\) | −15.5311 | + | 6.47281i | −0.552572 | + | 0.230292i | ||||
\(791\) | 14.1270 | − | 14.4536i | 0.502300 | − | 0.513911i | ||||
\(792\) | 32.6742 | + | 13.2850i | 1.16103 | + | 0.472060i | ||||
\(793\) | 18.0133 | + | 10.4000i | 0.639670 | + | 0.369313i | ||||
\(794\) | 25.5611 | + | 19.5256i | 0.907131 | + | 0.692936i | ||||
\(795\) | 0.444048 | − | 1.65721i | 0.0157488 | − | 0.0587751i | ||||
\(796\) | −1.91414 | − | 7.02133i | −0.0678447 | − | 0.248864i | ||||
\(797\) | 30.1973 | − | 30.1973i | 1.06964 | − | 1.06964i | 0.0722560 | − | 0.997386i | \(-0.476980\pi\) |
0.997386 | − | 0.0722560i | \(-0.0230199\pi\) | |||||||
\(798\) | −3.81615 | − | 0.449693i | −0.135090 | − | 0.0159190i | ||||
\(799\) | − | 21.3552i | − | 0.755492i | ||||||
\(800\) | 6.44680 | − | 5.05914i | 0.227929 | − | 0.178867i | ||||
\(801\) | −4.56044 | + | 2.63297i | −0.161135 | + | 0.0930315i | ||||
\(802\) | −3.20859 | − | 23.9687i | −0.113299 | − | 0.846364i | ||||
\(803\) | 11.7631 | − | 3.15190i | 0.415110 | − | 0.111228i | ||||
\(804\) | −2.31677 | − | 2.29670i | −0.0817060 | − | 0.0809982i | ||||
\(805\) | 12.7947 | + | 21.5877i | 0.450955 | + | 0.760866i | ||||
\(806\) | 22.5600 | − | 9.40220i | 0.794642 | − | 0.331178i | ||||
\(807\) | 0.666710 | − | 1.15477i | 0.0234693 | − | 0.0406500i | ||||
\(808\) | −7.81305 | + | 1.08052i | −0.274862 | + | 0.0380125i | ||||
\(809\) | 3.60521 | − | 2.08147i | 0.126753 | − | 0.0731806i | −0.435283 | − | 0.900294i | \(-0.643352\pi\) |
0.562036 | + | 0.827113i | \(0.310018\pi\) | |||||||
\(810\) | −22.7916 | − | 2.95015i | −0.800815 | − | 0.103658i | ||||
\(811\) | 12.2223 | − | 12.2223i | 0.429182 | − | 0.429182i | −0.459168 | − | 0.888350i | \(-0.651852\pi\) |
0.888350 | + | 0.459168i | \(0.151852\pi\) | |||||||
\(812\) | 0.0694227 | − | 0.276463i | 0.00243626 | − | 0.00970195i | ||||
\(813\) | 3.68523 | + | 3.68523i | 0.129247 | + | 0.129247i | ||||
\(814\) | 6.38072 | − | 4.91818i | 0.223644 | − | 0.172382i | ||||
\(815\) | 20.8547 | + | 36.1215i | 0.730510 | + | 1.26528i | ||||
\(816\) | 1.31590 | − | 5.08766i | 0.0460657 | − | 0.178104i | ||||
\(817\) | −20.6629 | − | 11.9297i | −0.722904 | − | 0.417369i | ||||
\(818\) | −2.84290 | − | 1.17033i | −0.0993996 | − | 0.0409196i | ||||
\(819\) | −14.2728 | + | 25.3868i | −0.498734 | + | 0.887087i | ||||
\(820\) | 0.184416 | + | 42.3920i | 0.00644010 | + | 1.48039i | ||||
\(821\) | −5.07820 | − | 18.9521i | −0.177230 | − | 0.661433i | −0.996161 | − | 0.0875401i | \(-0.972099\pi\) |
0.818931 | − | 0.573892i | \(-0.194567\pi\) | |||||||
\(822\) | 0.535483 | + | 0.409043i | 0.0186771 | + | 0.0142670i | ||||
\(823\) | −2.27906 | − | 3.94745i | −0.0794431 | − | 0.137599i | 0.823567 | − | 0.567219i | \(-0.191981\pi\) |
−0.903010 | + | 0.429620i | \(0.858648\pi\) | |||||||
\(824\) | 1.67193 | − | 13.3733i | 0.0582443 | − | 0.465882i | ||||
\(825\) | −1.25248 | −0.0436058 | ||||||||
\(826\) | −3.95502 | + | 9.92807i | −0.137613 | + | 0.345442i | ||||
\(827\) | −36.4309 | − | 36.4309i | −1.26683 | − | 1.26683i | −0.947718 | − | 0.319110i | \(-0.896616\pi\) |
−0.319110 | − | 0.947718i | \(-0.603384\pi\) | |||||||
\(828\) | −7.83141 | − | 28.7268i | −0.272160 | − | 0.998324i | ||||
\(829\) | −18.3008 | − | 4.90369i | −0.635614 | − | 0.170312i | −0.0733979 | − | 0.997303i | \(-0.523384\pi\) |
−0.562216 | + | 0.826991i | \(0.690051\pi\) | |||||||
\(830\) | 20.0411 | − | 2.68283i | 0.695638 | − | 0.0931223i | ||||
\(831\) | 0.938551 | − | 1.62562i | 0.0325580 | − | 0.0563921i | ||||
\(832\) | −0.388529 | − | 29.7690i | −0.0134698 | − | 1.03205i | ||||
\(833\) | 23.3036 | + | 38.3136i | 0.807421 | + | 1.32749i | ||||
\(834\) | −4.67576 | − | 1.92486i | −0.161908 | − | 0.0666525i | ||||
\(835\) | −0.148459 | − | 0.554056i | −0.00513763 | − | 0.0191739i | ||||
\(836\) | 40.8328 | + | 10.7510i | 1.41223 | + | 0.371830i | ||||
\(837\) | −5.48078 | − | 1.46857i | −0.189444 | − | 0.0507613i | ||||
\(838\) | 31.4481 | + | 4.07066i | 1.08636 | + | 0.140618i | ||||
\(839\) | − | 2.08923i | − | 0.0721282i | −0.999349 | − | 0.0360641i | \(-0.988518\pi\) | ||
0.999349 | − | 0.0360641i | \(-0.0114820\pi\) | |||||||
\(840\) | 1.05859 | − | 2.69132i | 0.0365249 | − | 0.0928594i | ||||
\(841\) | − | 28.9971i | − | 0.999900i | ||||||
\(842\) | 1.13352 | − | 8.75711i | 0.0390638 | − | 0.301790i | ||||
\(843\) | −1.66459 | − | 0.446027i | −0.0573317 | − | 0.0153620i | ||||
\(844\) | −7.80597 | − | 13.3855i | −0.268693 | − | 0.460749i | ||||
\(845\) | 0.414158 | + | 1.54566i | 0.0142475 | + | 0.0531723i | ||||
\(846\) | −5.30827 | + | 12.8946i | −0.182502 | + | 0.443324i | ||||
\(847\) | −17.2572 | + | 4.83604i | −0.592963 | + | 0.166168i | ||||
\(848\) | 12.6653 | + | 12.4468i | 0.434929 | + | 0.427425i | ||||
\(849\) | 2.56563 | − | 4.44380i | 0.0880522 | − | 0.152511i | ||||
\(850\) | −1.74142 | − | 13.0087i | −0.0597301 | − | 0.446193i | ||||
\(851\) | −6.56902 | − | 1.76016i | −0.225183 | − | 0.0603377i | ||||
\(852\) | 3.60995 | + | 2.06332i | 0.123675 | + | 0.0706881i | ||||
\(853\) | −21.1594 | − | 21.1594i | −0.724483 | − | 0.724483i | 0.245032 | − | 0.969515i | \(-0.421202\pi\) |
−0.969515 | + | 0.245032i | \(0.921202\pi\) | |||||||
\(854\) | −20.6950 | + | 3.01142i | −0.708167 | + | 0.103049i | ||||
\(855\) | −27.9144 | −0.954653 | ||||||||
\(856\) | 15.5037 | + | 19.9341i | 0.529904 | + | 0.681333i | ||||
\(857\) | −16.2012 | − | 28.0613i | −0.553422 | − | 0.958556i | −0.998024 | − | 0.0628275i | \(-0.979988\pi\) |
0.444602 | − | 0.895728i | \(-0.353345\pi\) | |||||||
\(858\) | −2.76212 | + | 3.61593i | −0.0942973 | + | 0.123446i | ||||
\(859\) | −4.82768 | − | 18.0172i | −0.164718 | − | 0.614737i | −0.998076 | − | 0.0620031i | \(-0.980251\pi\) |
0.833358 | − | 0.552734i | \(-0.186416\pi\) | |||||||
\(860\) | 12.6425 | − | 12.7529i | 0.431104 | − | 0.434871i | ||||
\(861\) | −3.11155 | − | 5.24991i | −0.106041 | − | 0.178916i | ||||
\(862\) | −6.54005 | + | 15.8867i | −0.222755 | + | 0.541104i | ||||
\(863\) | 29.8328 | + | 17.2240i | 1.01552 | + | 0.586312i | 0.912804 | − | 0.408399i | \(-0.133913\pi\) |
0.102718 | + | 0.994711i | \(0.467246\pi\) | |||||||
\(864\) | −4.14769 | + | 5.52884i | −0.141107 | + | 0.188095i | ||||
\(865\) | 18.3812 | + | 31.8371i | 0.624979 | + | 1.08250i | ||||
\(866\) | 2.23719 | + | 2.90247i | 0.0760228 | + | 0.0986298i | ||||
\(867\) | −3.48612 | − | 3.48612i | −0.118395 | − | 0.118395i | ||||
\(868\) | −11.9496 | + | 21.4725i | −0.405594 | + | 0.728826i | ||||
\(869\) | −18.8211 | + | 18.8211i | −0.638461 | + | 0.638461i | ||||
\(870\) | −0.00377938 | + | 0.0291979i | −0.000128133 | + | 0.000989901i | ||||
\(871\) | −25.6339 | + | 14.7998i | −0.868573 | + | 0.501471i | ||||
\(872\) | 24.7454 | − | 3.42221i | 0.837986 | − | 0.115891i | ||||
\(873\) | −9.47712 | + | 16.4149i | −0.320752 | + | 0.555559i | ||||
\(874\) | −13.7121 | − | 32.9014i | −0.463820 | − | 1.11291i | ||||
\(875\) | −0.367361 | − | 32.1504i | −0.0124191 | − | 1.08688i | ||||
\(876\) | 0.00515395 | + | 1.18474i | 0.000174136 | + | 0.0400288i | ||||
\(877\) | 48.3882 | − | 12.9656i | 1.63395 | − | 0.437817i | 0.678896 | − | 0.734234i | \(-0.262459\pi\) |
0.955058 | + | 0.296418i | \(0.0957920\pi\) | |||||||
\(878\) | −30.3265 | + | 4.05968i | −1.02347 | + | 0.137008i | ||||
\(879\) | −3.83162 | + | 2.21218i | −0.129237 | + | 0.0746151i | ||||
\(880\) | −15.6497 | + | 27.6590i | −0.527551 | + | 0.932386i | ||||
\(881\) | − | 41.5279i | − | 1.39911i | −0.714578 | − | 0.699556i | \(-0.753381\pi\) | ||
0.714578 | − | 0.699556i | \(-0.246619\pi\) | |||||||
\(882\) | −4.54738 | − | 28.9269i | −0.153118 | − | 0.974020i | ||||
\(883\) | −19.0558 | + | 19.0558i | −0.641278 | + | 0.641278i | −0.950870 | − | 0.309591i | \(-0.899808\pi\) |
0.309591 | + | 0.950870i | \(0.399808\pi\) | |||||||
\(884\) | −41.3965 | − | 23.6608i | −1.39232 | − | 0.795798i | ||||
\(885\) | 0.285687 | − | 1.06620i | 0.00960326 | − | 0.0358398i | ||||
\(886\) | −20.5685 | + | 26.9265i | −0.691014 | + | 0.904614i | ||||
\(887\) | −38.2027 | − | 22.0563i | −1.28272 | − | 0.740579i | −0.305375 | − | 0.952232i | \(-0.598782\pi\) |
−0.977345 | + | 0.211653i | \(0.932115\pi\) | |||||||
\(888\) | 0.304649 | + | 0.722124i | 0.0102234 | + | 0.0242329i | ||||
\(889\) | 10.2507 | + | 10.0191i | 0.343798 | + | 0.336030i | ||||
\(890\) | −1.82520 | − | 4.37945i | −0.0611808 | − | 0.146800i | ||||
\(891\) | −35.1161 | + | 9.40934i | −1.17643 | + | 0.315225i | ||||
\(892\) | −9.91071 | + | 37.6415i | −0.331835 | + | 1.26033i | ||||
\(893\) | −4.32051 | + | 16.1244i | −0.144580 | + | 0.539582i | ||||
\(894\) | 5.37787 | − | 4.14520i | 0.179863 | − | 0.138636i | ||||
\(895\) | 18.2528 | 0.610122 | ||||||||
\(896\) | 18.8486 | + | 23.2536i | 0.629687 | + | 0.776849i | ||||
\(897\) | 3.84112 | 0.128251 | ||||||||
\(898\) | 10.5404 | − | 8.12445i | 0.351739 | − | 0.271116i | ||||
\(899\) | 0.0647474 | − | 0.241640i | 0.00215945 | − | 0.00805916i | ||||
\(900\) | −2.18208 | + | 8.28768i | −0.0727360 | + | 0.276256i | ||||
\(901\) | 27.4711 | − | 7.36085i | 0.915194 | − | 0.245225i | ||||
\(902\) | 25.7977 | + | 61.9001i | 0.858970 | + | 2.06105i | ||||
\(903\) | −0.640503 | + | 2.50451i | −0.0213146 | + | 0.0833449i | ||||
\(904\) | −8.39847 | − | 19.9073i | −0.279329 | − | 0.662106i | ||||
\(905\) | −37.1137 | − | 21.4276i | −1.23370 | − | 0.712277i | ||||
\(906\) | 0.823489 | − | 1.07804i | 0.0273586 | − | 0.0358154i | ||||
\(907\) | −6.90744 | + | 25.7789i | −0.229358 | + | 0.855975i | 0.751254 | + | 0.660013i | \(0.229449\pi\) |
−0.980612 | + | 0.195962i | \(0.937217\pi\) | |||||||
\(908\) | −22.1722 | − | 12.6728i | −0.735809 | − | 0.420562i | ||||
\(909\) | 5.83263 | − | 5.83263i | 0.193456 | − | 0.193456i | ||||
\(910\) | −21.0333 | − | 15.6896i | −0.697246 | − | 0.520104i | ||||
\(911\) | 12.2217i | 0.404921i | 0.979290 | + | 0.202461i | \(0.0648939\pi\) | ||||
−0.979290 | + | 0.202461i | \(0.935106\pi\) | |||||||
\(912\) | −2.02290 | + | 3.57525i | −0.0669849 | + | 0.118388i | ||||
\(913\) | 27.7006 | − | 15.9930i | 0.916758 | − | 0.529290i | ||||
\(914\) | 39.8566 | − | 5.33544i | 1.31834 | − | 0.176481i | ||||
\(915\) | 2.08642 | − | 0.559056i | 0.0689751 | − | 0.0184818i | ||||
\(916\) | 0.221626 | + | 50.9455i | 0.00732274 | + | 1.68329i | ||||
\(917\) | 13.0029 | − | 23.1280i | 0.429394 | − | 0.763754i | ||||
\(918\) | 4.25838 | + | 10.2177i | 0.140547 | + | 0.337235i | ||||
\(919\) | −21.4822 | + | 37.2082i | −0.708632 | + | 1.22739i | 0.256733 | + | 0.966482i | \(0.417354\pi\) |
−0.965365 | + | 0.260904i | \(0.915979\pi\) | |||||||
\(920\) | 26.5742 | − | 3.67513i | 0.876126 | − | 0.121165i | ||||
\(921\) | 1.87591 | − | 1.08306i | 0.0618133 | − | 0.0356879i | ||||
\(922\) | −0.850443 | + | 6.57015i | −0.0280078 | + | 0.216376i | ||||
\(923\) | 26.6771 | − | 26.6771i | 0.878087 | − | 0.878087i | ||||
\(924\) | −0.0721711 | − | 4.57434i | −0.00237426 | − | 0.150485i | ||||
\(925\) | 1.38413 | + | 1.38413i | 0.0455098 | + | 0.0455098i | ||||
\(926\) | −10.2047 | − | 13.2393i | −0.335347 | − | 0.435070i | ||||
\(927\) | 7.04728 | + | 12.2063i | 0.231463 | + | 0.400906i | ||||
\(928\) | −0.243759 | − | 0.182866i | −0.00800179 | − | 0.00600287i | ||||
\(929\) | −4.52009 | − | 2.60967i | −0.148299 | − | 0.0856206i | 0.424014 | − | 0.905655i | \(-0.360621\pi\) |
−0.572314 | + | 0.820035i | \(0.693954\pi\) | |||||||
\(930\) | 0.966196 | − | 2.34703i | 0.0316828 | − | 0.0769622i | ||||
\(931\) | −9.84403 | − | 33.6437i | −0.322625 | − | 1.10263i | ||||
\(932\) | 1.63347 | − | 1.64774i | 0.0535059 | − | 0.0539735i | ||||
\(933\) | −0.320363 | − | 1.19561i | −0.0104882 | − | 0.0391425i | ||||
\(934\) | −6.39431 | + | 8.37087i | −0.209228 | + | 0.273903i | ||||
\(935\) | 25.4486 | + | 44.0782i | 0.832258 | + | 1.44151i | ||||
\(936\) | 19.1144 | + | 24.5767i | 0.624775 | + | 0.803315i | ||||
\(937\) | 14.3484 | 0.468741 | 0.234371 | − | 0.972147i | \(-0.424697\pi\) | ||||
0.234371 | + | 0.972147i | \(0.424697\pi\) | |||||||
\(938\) | 11.0138 | − | 27.6473i | 0.359613 | − | 0.902716i | ||||
\(939\) | 1.78450 | + | 1.78450i | 0.0582350 | + | 0.0582350i | ||||
\(940\) | −10.9078 | − | 6.23453i | −0.355774 | − | 0.203348i | ||||
\(941\) | 8.19041 | + | 2.19461i | 0.267000 | + | 0.0715424i | 0.389835 | − | 0.920885i | \(-0.372532\pi\) |
−0.122835 | + | 0.992427i | \(0.539199\pi\) | |||||||
\(942\) | −0.686250 | − | 5.12640i | −0.0223592 | − | 0.167027i | ||||
\(943\) | 28.3052 | − | 49.0260i | 0.921743 | − | 1.59651i | ||||
\(944\) | 8.14848 | + | 8.00790i | 0.265210 | + | 0.260635i | ||||
\(945\) | 1.64383 | + | 5.86594i | 0.0534739 | + | 0.190819i | ||||
\(946\) | 10.8137 | − | 26.2682i | 0.351585 | − | 0.854051i | ||||
\(947\) | 9.79481 | + | 36.5547i | 0.318289 | + | 1.18787i | 0.920889 | + | 0.389826i | \(0.127465\pi\) |
−0.602600 | + | 0.798043i | \(0.705869\pi\) | |||||||
\(948\) | −1.30448 | − | 2.23689i | −0.0423675 | − | 0.0726509i | ||||
\(949\) | 10.3834 | + | 2.78223i | 0.337060 | + | 0.0903151i | ||||
\(950\) | −1.31700 | + | 10.1746i | −0.0427292 | + | 0.330108i | ||||
\(951\) | 1.47609i | 0.0478654i | ||||||||
\(952\) | 47.4102 | − | 7.10963i | 1.53657 | − | 0.230425i | ||||
\(953\) | − | 11.7422i | − | 0.380366i | −0.981749 | − | 0.190183i | \(-0.939092\pi\) | ||
0.981749 | − | 0.190183i | \(-0.0609081\pi\) | |||||||
\(954\) | −18.4171 | − | 2.38392i | −0.596276 | − | 0.0771822i | ||||
\(955\) | −30.8260 | − | 8.25980i | −0.997506 | − | 0.267281i | ||||
\(956\) | −32.4602 | − | 8.54652i | −1.04984 | − | 0.276414i | ||||
\(957\) | 0.0120541 | + | 0.0449866i | 0.000389655 | + | 0.00145421i | ||||
\(958\) | −52.6042 | − | 21.6554i | −1.69956 | − | 0.699655i | ||||
\(959\) | −1.52307 | + | 5.95553i | −0.0491824 | + | 0.192314i | ||||
\(960\) | −2.21451 | − | 2.15745i | −0.0714731 | − | 0.0696314i | ||||
\(961\) | 4.71675 | − | 8.16965i | 0.152153 | − | 0.263537i | ||||
\(962\) | 7.04844 | − | 0.943546i | 0.227251 | − | 0.0304211i | ||||
\(963\) | −25.5098 | − | 6.83534i | −0.822043 | − | 0.220266i | ||||
\(964\) | 14.6485 | + | 53.7327i | 0.471795 | + | 1.73061i | ||||
\(965\) | 23.5452 | + | 23.5452i | 0.757948 | + | 0.757948i | ||||
\(966\) | −3.03166 | + | 2.39248i | −0.0975420 | + | 0.0769768i | ||||
\(967\) | 1.75678 | 0.0564941 | 0.0282471 | − | 0.999601i | \(-0.491007\pi\) | ||||
0.0282471 | + | 0.999601i | \(0.491007\pi\) | |||||||
\(968\) | −2.37680 | + | 19.0114i | −0.0763932 | + | 0.611049i | ||||
\(969\) | 3.28952 | + | 5.69761i | 0.105675 | + | 0.183034i | ||||
\(970\) | −13.5712 | − | 10.3667i | −0.435744 | − | 0.332855i | ||||
\(971\) | 13.9288 | + | 51.9831i | 0.446997 | + | 1.66822i | 0.710608 | + | 0.703588i | \(0.248420\pi\) |
−0.263611 | + | 0.964629i | \(0.584913\pi\) | |||||||
\(972\) | −0.0472773 | − | 10.8677i | −0.00151642 | − | 0.348581i | ||||
\(973\) | −0.527044 | − | 46.1254i | −0.0168963 | − | 1.47871i | ||||
\(974\) | −53.9173 | − | 22.1960i | −1.72762 | − | 0.711205i | ||||
\(975\) | −0.957463 | − | 0.552792i | −0.0306634 | − | 0.0177035i | ||||
\(976\) | −5.59827 | + | 21.6446i | −0.179196 | + | 0.692826i | ||||
\(977\) | −10.4704 | − | 18.1353i | −0.334979 | − | 0.580200i | 0.648502 | − | 0.761213i | \(-0.275396\pi\) |
−0.983481 | + | 0.181013i | \(0.942062\pi\) | |||||||
\(978\) | −5.08402 | + | 3.91870i | −0.162569 | + | 0.125306i | ||||
\(979\) | −5.30716 | − | 5.30716i | −0.169618 | − | 0.169618i | ||||
\(980\) | 26.3732 | − | 0.717579i | 0.842462 | − | 0.0229222i | ||||
\(981\) | −18.4731 | + | 18.4731i | −0.589800 | + | 0.589800i | ||||
\(982\) | 9.49672 | + | 1.22926i | 0.303052 | + | 0.0392272i | ||||
\(983\) | −32.9818 | + | 19.0420i | −1.05195 | + | 0.607346i | −0.923196 | − | 0.384330i | \(-0.874433\pi\) |
−0.128759 | + | 0.991676i | \(0.541099\pi\) | |||||||
\(984\) | −6.46258 | + | 0.893754i | −0.206020 | + | 0.0284918i | ||||
\(985\) | −3.89615 | + | 6.74833i | −0.124142 | + | 0.215020i | ||||
\(986\) | −0.450485 | + | 0.187746i | −0.0143464 | + | 0.00597906i | ||||
\(987\) | 1.80855 | − | 0.0206650i | 0.0575667 | − | 0.000657776i | ||||
\(988\) | 26.4698 | + | 26.2405i | 0.842116 | + | 0.834821i | ||||
\(989\) | −23.1630 | + | 6.20652i | −0.736542 | + | 0.197356i | ||||
\(990\) | −4.40966 | − | 32.9409i | −0.140148 | − | 1.04693i | ||||
\(991\) | −15.0146 | + | 8.66867i | −0.476954 | + | 0.275369i | −0.719146 | − | 0.694859i | \(-0.755467\pi\) |
0.242192 | + | 0.970228i | \(0.422133\pi\) | |||||||
\(992\) | 16.2181 | + | 20.6665i | 0.514924 | + | 0.656161i | ||||
\(993\) | 1.59142i | 0.0505021i | ||||||||
\(994\) | −4.43918 | + | 37.6714i | −0.140802 | + | 1.19486i | ||||
\(995\) | −4.84883 | + | 4.84883i | −0.153718 | + | 0.153718i | ||||
\(996\) | 0.818460 | + | 3.00223i | 0.0259339 | + | 0.0951293i | ||||
\(997\) | 1.58580 | − | 5.91830i | 0.0502229 | − | 0.187434i | −0.936257 | − | 0.351315i | \(-0.885735\pi\) |
0.986480 | + | 0.163881i | \(0.0524012\pi\) | |||||||
\(998\) | 37.0160 | + | 28.2756i | 1.17172 | + | 0.895050i | ||||
\(999\) | −1.42976 | − | 0.825472i | −0.0452356 | − | 0.0261168i |
(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 | 112.2.v.a.19.11 | yes | 56 | |
4.3 | odd | 2 | 448.2.z.a.47.6 | 56 | |||
7.2 | even | 3 | 784.2.j.a.195.4 | 56 | |||
7.3 | odd | 6 | inner | 112.2.v.a.3.9 | ✓ | 56 | |
7.4 | even | 3 | 784.2.w.f.227.9 | 56 | |||
7.5 | odd | 6 | 784.2.j.a.195.3 | 56 | |||
7.6 | odd | 2 | 784.2.w.f.19.11 | 56 | |||
8.3 | odd | 2 | 896.2.z.a.607.9 | 56 | |||
8.5 | even | 2 | 896.2.z.b.607.6 | 56 | |||
16.3 | odd | 4 | 896.2.z.b.159.6 | 56 | |||
16.5 | even | 4 | 448.2.z.a.271.6 | 56 | |||
16.11 | odd | 4 | inner | 112.2.v.a.75.9 | yes | 56 | |
16.13 | even | 4 | 896.2.z.a.159.9 | 56 | |||
28.3 | even | 6 | 448.2.z.a.367.6 | 56 | |||
56.3 | even | 6 | 896.2.z.a.479.9 | 56 | |||
56.45 | odd | 6 | 896.2.z.b.479.6 | 56 | |||
112.3 | even | 12 | 896.2.z.b.31.6 | 56 | |||
112.11 | odd | 12 | 784.2.w.f.619.11 | 56 | |||
112.27 | even | 4 | 784.2.w.f.411.9 | 56 | |||
112.45 | odd | 12 | 896.2.z.a.31.9 | 56 | |||
112.59 | even | 12 | inner | 112.2.v.a.59.11 | yes | 56 | |
112.75 | even | 12 | 784.2.j.a.587.4 | 56 | |||
112.101 | odd | 12 | 448.2.z.a.143.6 | 56 | |||
112.107 | odd | 12 | 784.2.j.a.587.3 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
112.2.v.a.3.9 | ✓ | 56 | 7.3 | odd | 6 | inner | |
112.2.v.a.19.11 | yes | 56 | 1.1 | even | 1 | trivial | |
112.2.v.a.59.11 | yes | 56 | 112.59 | even | 12 | inner | |
112.2.v.a.75.9 | yes | 56 | 16.11 | odd | 4 | inner | |
448.2.z.a.47.6 | 56 | 4.3 | odd | 2 | |||
448.2.z.a.143.6 | 56 | 112.101 | odd | 12 | |||
448.2.z.a.271.6 | 56 | 16.5 | even | 4 | |||
448.2.z.a.367.6 | 56 | 28.3 | even | 6 | |||
784.2.j.a.195.3 | 56 | 7.5 | odd | 6 | |||
784.2.j.a.195.4 | 56 | 7.2 | even | 3 | |||
784.2.j.a.587.3 | 56 | 112.107 | odd | 12 | |||
784.2.j.a.587.4 | 56 | 112.75 | even | 12 | |||
784.2.w.f.19.11 | 56 | 7.6 | odd | 2 | |||
784.2.w.f.227.9 | 56 | 7.4 | even | 3 | |||
784.2.w.f.411.9 | 56 | 112.27 | even | 4 | |||
784.2.w.f.619.11 | 56 | 112.11 | odd | 12 | |||
896.2.z.a.31.9 | 56 | 112.45 | odd | 12 | |||
896.2.z.a.159.9 | 56 | 16.13 | even | 4 | |||
896.2.z.a.479.9 | 56 | 56.3 | even | 6 | |||
896.2.z.a.607.9 | 56 | 8.3 | odd | 2 | |||
896.2.z.b.31.6 | 56 | 112.3 | even | 12 | |||
896.2.z.b.159.6 | 56 | 16.3 | odd | 4 | |||
896.2.z.b.479.6 | 56 | 56.45 | odd | 6 | |||
896.2.z.b.607.6 | 56 | 8.5 | even | 2 |