Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(73,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 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("315.73");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bz (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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 73.5 | ||
Character | \(\chi\) | \(=\) | 315.73 |
Dual form | 315.2.bz.d.82.5 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.394487 | + | 0.105703i | 0.278945 | + | 0.0747430i | 0.395579 | − | 0.918432i | \(-0.370544\pi\) |
−0.116634 | + | 0.993175i | \(0.537211\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.58760 | − | 0.916603i | −0.793802 | − | 0.458302i | ||||
\(5\) | 2.18897 | + | 0.456535i | 0.978936 | + | 0.204169i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.605712 | − | 2.57548i | −0.228938 | − | 0.973441i | ||||
\(8\) | −1.10697 | − | 1.10697i | −0.391374 | − | 0.391374i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.815263 | + | 0.411477i | 0.257809 | + | 0.130120i | ||||
\(11\) | 0.463738 | − | 0.803218i | 0.139822 | − | 0.242179i | −0.787607 | − | 0.616178i | \(-0.788680\pi\) |
0.927429 | + | 0.373999i | \(0.122014\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.08169 | − | 4.08169i | 1.13206 | − | 1.13206i | 0.142224 | − | 0.989835i | \(-0.454575\pi\) |
0.989835 | − | 0.142224i | \(-0.0454252\pi\) | |||||||
\(14\) | 0.0332893 | − | 1.08002i | 0.00889694 | − | 0.288648i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.51353 | + | 2.62151i | 0.378382 | + | 0.655378i | ||||
\(17\) | 0.719705 | − | 0.192844i | 0.174554 | − | 0.0467716i | −0.170483 | − | 0.985361i | \(-0.554533\pi\) |
0.345037 | + | 0.938589i | \(0.387866\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.21966 | − | 2.11252i | −0.279810 | − | 0.484644i | 0.691528 | − | 0.722350i | \(-0.256938\pi\) |
−0.971337 | + | 0.237706i | \(0.923605\pi\) | |||||||
\(20\) | −3.05675 | − | 2.73121i | −0.683510 | − | 0.610717i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.267841 | − | 0.267841i | 0.0571039 | − | 0.0571039i | ||||
\(23\) | −1.34176 | + | 5.00751i | −0.279776 | + | 1.04414i | 0.672797 | + | 0.739827i | \(0.265093\pi\) |
−0.952573 | + | 0.304311i | \(0.901574\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.58315 | + | 1.99868i | 0.916630 | + | 0.399736i | ||||
\(26\) | 2.04162 | − | 1.17873i | 0.400395 | − | 0.231168i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.39907 | + | 4.64404i | −0.264398 | + | 0.877642i | ||||
\(29\) | − | 8.08080i | − | 1.50057i | −0.661116 | − | 0.750284i | \(-0.729917\pi\) | ||
0.661116 | − | 0.750284i | \(-0.270083\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.05279 | − | 0.607827i | −0.189086 | − | 0.109169i | 0.402469 | − | 0.915434i | \(-0.368152\pi\) |
−0.591555 | + | 0.806265i | \(0.701486\pi\) | |||||||
\(32\) | 1.13033 | + | 4.21844i | 0.199816 | + | 0.745722i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.304299 | 0.0521868 | ||||||||
\(35\) | −0.150086 | − | 5.91418i | −0.0253692 | − | 0.999678i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.76271 | + | 0.472316i | 0.289787 | + | 0.0776483i | 0.400784 | − | 0.916172i | \(-0.368738\pi\) |
−0.110997 | + | 0.993821i | \(0.535404\pi\) | |||||||
\(38\) | −0.257843 | − | 0.962282i | −0.0418276 | − | 0.156103i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.91775 | − | 2.92850i | −0.303224 | − | 0.463036i | ||||
\(41\) | 6.97323i | 1.08903i | 0.838749 | + | 0.544517i | \(0.183287\pi\) | ||||
−0.838749 | + | 0.544517i | \(0.816713\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.781574 | − | 0.781574i | −0.119189 | − | 0.119189i | 0.644997 | − | 0.764185i | \(-0.276859\pi\) |
−0.764185 | + | 0.644997i | \(0.776859\pi\) | |||||||
\(44\) | −1.47246 | + | 0.850128i | −0.221982 | + | 0.128162i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.05861 | + | 1.83357i | −0.156084 | + | 0.270345i | ||||
\(47\) | −2.70351 | + | 10.0896i | −0.394347 | + | 1.47172i | 0.428542 | + | 0.903522i | \(0.359027\pi\) |
−0.822889 | + | 0.568202i | \(0.807639\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.26622 | + | 3.12000i | −0.895175 | + | 0.445715i | ||||
\(50\) | 1.59673 | + | 1.27291i | 0.225812 | + | 0.180016i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −10.2214 | + | 2.73882i | −1.41745 | + | 0.379806i | ||||
\(53\) | 6.42117 | − | 1.72055i | 0.882016 | − | 0.236335i | 0.210739 | − | 0.977542i | \(-0.432413\pi\) |
0.671277 | + | 0.741207i | \(0.265746\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.38180 | − | 1.54650i | 0.186322 | − | 0.208531i | ||||
\(56\) | −2.18048 | + | 3.52149i | −0.291379 | + | 0.470580i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.854162 | − | 3.18778i | 0.112157 | − | 0.418575i | ||||
\(59\) | −5.91173 | + | 10.2394i | −0.769642 | + | 1.33306i | 0.168115 | + | 0.985767i | \(0.446232\pi\) |
−0.937757 | + | 0.347292i | \(0.887101\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.72841 | + | 2.15260i | −0.477374 | + | 0.275612i | −0.719322 | − | 0.694677i | \(-0.755547\pi\) |
0.241947 | + | 0.970289i | \(0.422214\pi\) | |||||||
\(62\) | −0.351062 | − | 0.351062i | −0.0445849 | − | 0.0445849i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 4.27052i | − | 0.533815i | ||||||
\(65\) | 10.7981 | − | 7.07126i | 1.33934 | − | 0.877081i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.80929 | + | 10.4844i | 0.343210 | + | 1.28088i | 0.894690 | + | 0.446688i | \(0.147397\pi\) |
−0.551480 | + | 0.834188i | \(0.685937\pi\) | |||||||
\(68\) | −1.31937 | − | 0.353523i | −0.159997 | − | 0.0428710i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.565937 | − | 2.34893i | 0.0676424 | − | 0.280751i | ||||
\(71\) | −9.89994 | −1.17491 | −0.587454 | − | 0.809258i | \(-0.699870\pi\) | ||||
−0.587454 | + | 0.809258i | \(0.699870\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.07879 | + | 4.02609i | 0.126262 | + | 0.471218i | 0.999882 | − | 0.0153927i | \(-0.00489983\pi\) |
−0.873619 | + | 0.486610i | \(0.838233\pi\) | |||||||
\(74\) | 0.645441 | + | 0.372646i | 0.0750310 | + | 0.0433192i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.47178i | 0.512949i | ||||||||
\(77\) | −2.34957 | − | 0.707830i | −0.267758 | − | 0.0806648i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.02976 | − | 4.05863i | 0.790910 | − | 0.456632i | −0.0493729 | − | 0.998780i | \(-0.515722\pi\) |
0.840283 | + | 0.542148i | \(0.182389\pi\) | |||||||
\(80\) | 2.11626 | + | 6.42938i | 0.236605 | + | 0.718826i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.737088 | + | 2.75085i | −0.0813978 | + | 0.303781i | ||||
\(83\) | 5.91429 | − | 5.91429i | 0.649177 | − | 0.649177i | −0.303617 | − | 0.952794i | \(-0.598194\pi\) |
0.952794 | + | 0.303617i | \(0.0981943\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.66345 | − | 0.0935594i | 0.180427 | − | 0.0101479i | ||||
\(86\) | −0.225707 | − | 0.390935i | −0.0243386 | − | 0.0421557i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.40248 | + | 0.375795i | −0.149505 | + | 0.0400598i | ||||
\(89\) | −7.78809 | − | 13.4894i | −0.825536 | − | 1.42987i | −0.901509 | − | 0.432761i | \(-0.857540\pi\) |
0.0759727 | − | 0.997110i | \(-0.475794\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −12.9847 | − | 8.04000i | −1.36116 | − | 0.842821i | ||||
\(92\) | 6.72008 | − | 6.72008i | 0.700617 | − | 0.700617i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.13300 | + | 3.69446i | −0.220002 | + | 0.381055i | ||||
\(95\) | −1.70536 | − | 5.18105i | −0.174966 | − | 0.531564i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.89426 | + | 4.89426i | 0.496936 | + | 0.496936i | 0.910483 | − | 0.413547i | \(-0.135710\pi\) |
−0.413547 | + | 0.910483i | \(0.635710\pi\) | |||||||
\(98\) | −2.80174 | + | 0.568446i | −0.283018 | + | 0.0574217i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −5.44423 | − | 7.37404i | −0.544423 | − | 0.737404i | ||||
\(101\) | −7.19322 | − | 4.15301i | −0.715753 | − | 0.413240i | 0.0974348 | − | 0.995242i | \(-0.468936\pi\) |
−0.813187 | + | 0.582002i | \(0.802270\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.53653 | + | 0.679662i | 0.249932 | + | 0.0669691i | 0.381610 | − | 0.924323i | \(-0.375370\pi\) |
−0.131678 | + | 0.991293i | \(0.542036\pi\) | |||||||
\(104\) | −9.03664 | −0.886116 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.71494 | 0.263698 | ||||||||
\(107\) | 0.851889 | + | 0.228263i | 0.0823553 | + | 0.0220670i | 0.299761 | − | 0.954014i | \(-0.403093\pi\) |
−0.217406 | + | 0.976081i | \(0.569760\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 10.7021 | + | 6.17883i | 1.02507 | + | 0.591825i | 0.915569 | − | 0.402162i | \(-0.131741\pi\) |
0.109502 | + | 0.993987i | \(0.465074\pi\) | |||||||
\(110\) | 0.708574 | − | 0.464016i | 0.0675599 | − | 0.0442422i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 5.83489 | − | 5.48595i | 0.551345 | − | 0.518374i | ||||
\(113\) | 13.7439 | + | 13.7439i | 1.29291 | + | 1.29291i | 0.932976 | + | 0.359938i | \(0.117202\pi\) |
0.359938 | + | 0.932976i | \(0.382798\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −5.22317 | + | 10.3487i | −0.487063 | + | 0.965022i | ||||
\(116\) | −7.40689 | + | 12.8291i | −0.687713 | + | 1.19115i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −3.41444 | + | 3.41444i | −0.314324 | + | 0.314324i | ||||
\(119\) | −0.932601 | − | 1.73678i | −0.0854914 | − | 0.159210i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.06989 | + | 8.78131i | 0.460899 | + | 0.798301i | ||||
\(122\) | −1.69835 | + | 0.455071i | −0.153761 | + | 0.0412002i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.11427 | + | 1.92998i | 0.100065 | + | 0.173317i | ||||
\(125\) | 9.11990 | + | 6.46741i | 0.815709 | + | 0.578463i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.30227 | − | 9.30227i | 0.825443 | − | 0.825443i | −0.161440 | − | 0.986883i | \(-0.551614\pi\) |
0.986883 | + | 0.161440i | \(0.0516138\pi\) | |||||||
\(128\) | 2.71206 | − | 10.1215i | 0.239715 | − | 0.894627i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 5.00718 | − | 1.64813i | 0.439158 | − | 0.144551i | ||||
\(131\) | 8.95081 | − | 5.16775i | 0.782036 | − | 0.451509i | −0.0551154 | − | 0.998480i | \(-0.517553\pi\) |
0.837151 | + | 0.546971i | \(0.184219\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −4.70198 | + | 4.42079i | −0.407714 | + | 0.383332i | ||||
\(134\) | 4.43292i | 0.382946i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.01017 | − | 0.583220i | −0.0866211 | − | 0.0500107i | ||||
\(137\) | −0.228594 | − | 0.853123i | −0.0195301 | − | 0.0728872i | 0.955473 | − | 0.295078i | \(-0.0953458\pi\) |
−0.975003 | + | 0.222191i | \(0.928679\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −18.6742 | −1.58392 | −0.791961 | − | 0.610572i | \(-0.790940\pi\) | ||||
−0.791961 | + | 0.610572i | \(0.790940\pi\) | |||||||
\(140\) | −5.18268 | + | 9.52694i | −0.438016 | + | 0.805173i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.90540 | − | 1.04645i | −0.327734 | − | 0.0878161i | ||||
\(143\) | −1.38565 | − | 5.17133i | −0.115874 | − | 0.432448i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.68917 | − | 17.6886i | 0.306369 | − | 1.46896i | ||||
\(146\) | 1.70227i | 0.140881i | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.36555 | − | 2.36555i | −0.194447 | − | 0.194447i | ||||
\(149\) | −4.96877 | + | 2.86872i | −0.407057 | + | 0.235015i | −0.689524 | − | 0.724262i | \(-0.742180\pi\) |
0.282467 | + | 0.959277i | \(0.408847\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 9.44257 | − | 16.3550i | 0.768425 | − | 1.33095i | −0.169991 | − | 0.985446i | \(-0.554374\pi\) |
0.938417 | − | 0.345506i | \(-0.112293\pi\) | |||||||
\(152\) | −0.988365 | + | 3.68863i | −0.0801670 | + | 0.299187i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.852055 | − | 0.527585i | −0.0686605 | − | 0.0425140i | ||||
\(155\) | −2.02702 | − | 1.81115i | −0.162814 | − | 0.145475i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.31024 | − | 1.15493i | 0.343995 | − | 0.0921731i | −0.0826855 | − | 0.996576i | \(-0.526350\pi\) |
0.426680 | + | 0.904403i | \(0.359683\pi\) | |||||||
\(158\) | 3.20216 | − | 0.858016i | 0.254750 | − | 0.0682601i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.548385 | + | 9.75006i | 0.0433536 | + | 0.770810i | ||||
\(161\) | 13.7095 | + | 0.422564i | 1.08046 | + | 0.0333027i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.843763 | − | 3.14897i | 0.0660886 | − | 0.246646i | −0.924977 | − | 0.380024i | \(-0.875916\pi\) |
0.991065 | + | 0.133378i | \(0.0425824\pi\) | |||||||
\(164\) | 6.39168 | − | 11.0707i | 0.499107 | − | 0.864478i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.95827 | − | 1.70796i | 0.229606 | − | 0.132563i | ||||
\(167\) | 2.23479 | + | 2.23479i | 0.172933 | + | 0.172933i | 0.788267 | − | 0.615334i | \(-0.210979\pi\) |
−0.615334 | + | 0.788267i | \(0.710979\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 20.3205i | − | 1.56311i | ||||||
\(170\) | 0.666100 | + | 0.138923i | 0.0510875 | + | 0.0106549i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.524436 | + | 1.95722i | 0.0399879 | + | 0.149237i | ||||
\(173\) | −15.4919 | − | 4.15104i | −1.17783 | − | 0.315598i | −0.383763 | − | 0.923432i | \(-0.625372\pi\) |
−0.794064 | + | 0.607834i | \(0.792039\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.37149 | − | 13.0145i | 0.179268 | − | 0.983800i | ||||
\(176\) | 2.80753 | 0.211625 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.64644 | − | 6.14461i | −0.123406 | − | 0.460558i | ||||
\(179\) | 7.94393 | + | 4.58643i | 0.593758 | + | 0.342806i | 0.766582 | − | 0.642147i | \(-0.221956\pi\) |
−0.172824 | + | 0.984953i | \(0.555289\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 5.57424i | − | 0.414330i | −0.978306 | − | 0.207165i | \(-0.933576\pi\) | ||
0.978306 | − | 0.207165i | \(-0.0664237\pi\) | |||||||
\(182\) | −4.27244 | − | 4.54419i | −0.316694 | − | 0.336838i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 7.02846 | − | 4.05788i | 0.518145 | − | 0.299151i | ||||
\(185\) | 3.64288 | + | 1.83862i | 0.267830 | + | 0.135178i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.178859 | − | 0.667509i | 0.0130794 | − | 0.0488131i | ||||
\(188\) | 13.5403 | − | 13.5403i | 0.987527 | − | 0.987527i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.125094 | − | 2.22412i | −0.00907526 | − | 0.161355i | ||||
\(191\) | 0.290017 | + | 0.502325i | 0.0209849 | + | 0.0363469i | 0.876327 | − | 0.481716i | \(-0.159986\pi\) |
−0.855342 | + | 0.518063i | \(0.826653\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.84505 | + | 1.56618i | −0.420736 | + | 0.112736i | −0.462974 | − | 0.886372i | \(-0.653218\pi\) |
0.0422384 | + | 0.999108i | \(0.486551\pi\) | |||||||
\(194\) | 1.41339 | + | 2.44806i | 0.101475 | + | 0.175760i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 12.8081 | + | 0.790313i | 0.914863 | + | 0.0564509i | ||||
\(197\) | 6.05651 | − | 6.05651i | 0.431508 | − | 0.431508i | −0.457633 | − | 0.889141i | \(-0.651303\pi\) |
0.889141 | + | 0.457633i | \(0.151303\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −5.61335 | + | 9.72261i | −0.397920 | + | 0.689218i | −0.993469 | − | 0.114101i | \(-0.963601\pi\) |
0.595549 | + | 0.803319i | \(0.296935\pi\) | |||||||
\(200\) | −2.86094 | − | 7.28590i | −0.202299 | − | 0.515191i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.39865 | − | 2.39865i | −0.168769 | − | 0.168769i | ||||
\(203\) | −20.8120 | + | 4.89464i | −1.46071 | + | 0.343537i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.18352 | + | 15.2642i | −0.222347 | + | 1.06610i | ||||
\(206\) | 0.928789 | + | 0.536237i | 0.0647118 | + | 0.0373614i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 16.8780 | + | 4.52244i | 1.17028 | + | 0.313575i | ||||
\(209\) | −2.26241 | −0.156494 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.46617 | −0.307464 | −0.153732 | − | 0.988113i | \(-0.549129\pi\) | ||||
−0.153732 | + | 0.988113i | \(0.549129\pi\) | |||||||
\(212\) | −11.7713 | − | 3.15412i | −0.808459 | − | 0.216626i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.311932 | + | 0.180094i | 0.0213232 | + | 0.0123110i | ||||
\(215\) | −1.35402 | − | 2.06765i | −0.0923436 | − | 0.141013i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.927761 | + | 3.07960i | −0.0629805 | + | 0.209057i | ||||
\(218\) | 3.56871 | + | 3.56871i | 0.241703 | + | 0.241703i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −3.61129 | + | 1.18867i | −0.243473 | + | 0.0801401i | ||||
\(221\) | 2.15048 | − | 3.72475i | 0.144657 | − | 0.250554i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.05982 | − | 3.05982i | 0.204900 | − | 0.204900i | −0.597195 | − | 0.802096i | \(-0.703718\pi\) |
0.802096 | + | 0.597195i | \(0.203718\pi\) | |||||||
\(224\) | 10.1799 | − | 5.46630i | 0.680171 | − | 0.365233i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3.96902 | + | 6.87455i | 0.264015 | + | 0.457288i | ||||
\(227\) | −1.41031 | + | 0.377892i | −0.0936057 | + | 0.0250816i | −0.305318 | − | 0.952250i | \(-0.598763\pi\) |
0.211712 | + | 0.977332i | \(0.432096\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.79011 | + | 13.4929i | 0.514785 | + | 0.891633i | 0.999853 | + | 0.0171570i | \(0.00546151\pi\) |
−0.485068 | + | 0.874476i | \(0.661205\pi\) | |||||||
\(230\) | −3.15436 | + | 3.53033i | −0.207992 | + | 0.232783i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −8.94522 | + | 8.94522i | −0.587283 | + | 0.587283i | ||||
\(233\) | −6.02142 | + | 22.4723i | −0.394476 | + | 1.47221i | 0.428194 | + | 0.903687i | \(0.359150\pi\) |
−0.822670 | + | 0.568519i | \(0.807517\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −10.5242 | + | 20.8516i | −0.686520 | + | 1.36021i | ||||
\(236\) | 18.7710 | − | 10.8374i | 1.22189 | − | 0.705456i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.184318 | − | 0.783716i | −0.0119475 | − | 0.0508008i | ||||
\(239\) | − | 1.48712i | − | 0.0961937i | −0.998843 | − | 0.0480968i | \(-0.984684\pi\) | ||
0.998843 | − | 0.0480968i | \(-0.0153156\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.28163 | + | 0.739950i | 0.0825571 | + | 0.0476643i | 0.540710 | − | 0.841209i | \(-0.318156\pi\) |
−0.458153 | + | 0.888873i | \(0.651489\pi\) | |||||||
\(242\) | 1.07180 | + | 4.00002i | 0.0688980 | + | 0.257131i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 7.89232 | 0.505254 | ||||||||
\(245\) | −15.1409 | + | 3.96883i | −0.967320 | + | 0.253560i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −13.6009 | − | 3.64436i | −0.865406 | − | 0.231885i | ||||
\(248\) | 0.492558 | + | 1.83825i | 0.0312775 | + | 0.116729i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.91406 | + | 3.51531i | 0.184302 | + | 0.222328i | ||||
\(251\) | − | 18.3956i | − | 1.16112i | −0.814218 | − | 0.580559i | \(-0.802834\pi\) | ||
0.814218 | − | 0.580559i | \(-0.197166\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.39990 | + | 3.39990i | 0.213750 | + | 0.213750i | ||||
\(254\) | 4.65290 | − | 2.68635i | 0.291949 | − | 0.168557i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −2.13077 | + | 3.69060i | −0.133173 | + | 0.230663i | ||||
\(257\) | −2.53039 | + | 9.44356i | −0.157842 | + | 0.589073i | 0.841004 | + | 0.541030i | \(0.181965\pi\) |
−0.998845 | + | 0.0480436i | \(0.984701\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.148748 | − | 4.82591i | 0.00924276 | − | 0.299868i | ||||
\(260\) | −23.6247 | + | 1.32875i | −1.46514 | + | 0.0824057i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 4.07723 | − | 1.09249i | 0.251892 | − | 0.0674943i | ||||
\(263\) | −10.7348 | + | 2.87639i | −0.661939 | + | 0.177366i | −0.574121 | − | 0.818771i | \(-0.694656\pi\) |
−0.0878181 | + | 0.996137i | \(0.527989\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 14.8412 | − | 0.834733i | 0.911689 | − | 0.0512772i | ||||
\(266\) | −2.32216 | + | 1.24694i | −0.142381 | + | 0.0764546i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.15001 | − | 19.2201i | 0.314587 | − | 1.17406i | ||||
\(269\) | −4.23477 | + | 7.33484i | −0.258199 | + | 0.447213i | −0.965759 | − | 0.259439i | \(-0.916462\pi\) |
0.707561 | + | 0.706652i | \(0.249796\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −20.3136 | + | 11.7281i | −1.23396 | + | 0.712429i | −0.967854 | − | 0.251514i | \(-0.919072\pi\) |
−0.266110 | + | 0.963943i | \(0.585738\pi\) | |||||||
\(272\) | 1.59484 | + | 1.59484i | 0.0967013 | + | 0.0967013i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 0.360709i | − | 0.0217912i | ||||||
\(275\) | 3.73076 | − | 2.75441i | 0.224973 | − | 0.166097i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.89698 | − | 7.07963i | −0.113979 | − | 0.425374i | 0.885230 | − | 0.465154i | \(-0.154001\pi\) |
−0.999208 | + | 0.0397799i | \(0.987334\pi\) | |||||||
\(278\) | −7.36672 | − | 1.97391i | −0.441827 | − | 0.118387i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −6.38069 | + | 6.71297i | −0.381319 | + | 0.401177i | ||||
\(281\) | −16.9863 | −1.01332 | −0.506658 | − | 0.862147i | \(-0.669119\pi\) | ||||
−0.506658 | + | 0.862147i | \(0.669119\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.342140 | − | 1.27688i | −0.0203381 | − | 0.0759029i | 0.955011 | − | 0.296571i | \(-0.0958430\pi\) |
−0.975349 | + | 0.220668i | \(0.929176\pi\) | |||||||
\(284\) | 15.7172 | + | 9.07432i | 0.932643 | + | 0.538462i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | − | 2.18649i | − | 0.129290i | ||||||
\(287\) | 17.9594 | − | 4.22377i | 1.06011 | − | 0.249321i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.2416 | + | 8.22242i | −0.837744 | + | 0.483672i | ||||
\(290\) | 3.32506 | − | 6.58798i | 0.195254 | − | 0.386860i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.97764 | − | 7.38065i | 0.115733 | − | 0.431920i | ||||
\(293\) | −2.80762 | + | 2.80762i | −0.164023 | + | 0.164023i | −0.784346 | − | 0.620323i | \(-0.787001\pi\) |
0.620323 | + | 0.784346i | \(0.287001\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −17.6152 | + | 19.7148i | −1.02560 | + | 1.14784i | ||||
\(296\) | −1.42843 | − | 2.47411i | −0.0830257 | − | 0.143805i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −2.26335 | + | 0.606462i | −0.131112 | + | 0.0351314i | ||||
\(299\) | 14.9625 | + | 25.9158i | 0.865302 | + | 1.49875i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.53952 | + | 2.48634i | −0.0887365 | + | 0.143310i | ||||
\(302\) | 5.45374 | − | 5.45374i | 0.313828 | − | 0.313828i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.69199 | − | 6.39471i | 0.211750 | − | 0.366762i | ||||
\(305\) | −9.14411 | + | 3.00982i | −0.523590 | + | 0.172342i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −9.39163 | − | 9.39163i | −0.536009 | − | 0.536009i | 0.386345 | − | 0.922354i | \(-0.373737\pi\) |
−0.922354 | + | 0.386345i | \(0.873737\pi\) | |||||||
\(308\) | 3.08138 | + | 3.27737i | 0.175578 | + | 0.186746i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.608191 | − | 0.928736i | −0.0345430 | − | 0.0527486i | ||||
\(311\) | −1.04801 | − | 0.605067i | −0.0594270 | − | 0.0343102i | 0.469992 | − | 0.882671i | \(-0.344257\pi\) |
−0.529419 | + | 0.848360i | \(0.677590\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −26.4462 | − | 7.08623i | −1.49483 | − | 0.400538i | −0.583463 | − | 0.812140i | \(-0.698303\pi\) |
−0.911364 | + | 0.411602i | \(0.864969\pi\) | |||||||
\(314\) | 1.82241 | 0.102845 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −14.8806 | −0.837101 | ||||||||
\(317\) | 13.9458 | + | 3.73676i | 0.783273 | + | 0.209877i | 0.628227 | − | 0.778030i | \(-0.283781\pi\) |
0.155046 | + | 0.987907i | \(0.450448\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −6.49065 | − | 3.74738i | −0.363406 | − | 0.209813i | ||||
\(320\) | 1.94964 | − | 9.34802i | 0.108988 | − | 0.522570i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 5.36355 | + | 1.61582i | 0.298899 | + | 0.0900463i | ||||
\(323\) | −1.28518 | − | 1.28518i | −0.0715095 | − | 0.0715095i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 26.8650 | − | 10.5490i | 1.49020 | − | 0.585155i | ||||
\(326\) | 0.665708 | − | 1.15304i | 0.0368702 | − | 0.0638610i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 7.71917 | − | 7.71917i | 0.426220 | − | 0.426220i | ||||
\(329\) | 27.6232 | + | 0.851425i | 1.52292 | + | 0.0469406i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.39956 | + | 5.88820i | 0.186856 | + | 0.323645i | 0.944201 | − | 0.329371i | \(-0.106837\pi\) |
−0.757344 | + | 0.653016i | \(0.773503\pi\) | |||||||
\(332\) | −14.8106 | + | 3.96849i | −0.812837 | + | 0.217799i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.645374 | + | 1.11782i | 0.0353133 | + | 0.0611644i | ||||
\(335\) | 1.36294 | + | 24.2326i | 0.0744655 | + | 1.32397i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.49179 | − | 3.49179i | 0.190210 | − | 0.190210i | −0.605577 | − | 0.795787i | \(-0.707058\pi\) |
0.795787 | + | 0.605577i | \(0.207058\pi\) | |||||||
\(338\) | 2.14792 | − | 8.01616i | 0.116832 | − | 0.436022i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.72666 | − | 1.37619i | −0.147874 | − | 0.0746343i | ||||
\(341\) | −0.976434 | + | 0.563745i | −0.0528769 | + | 0.0305285i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 11.8310 | + | 14.2487i | 0.638817 | + | 0.769359i | ||||
\(344\) | 1.73036i | 0.0932948i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −5.67258 | − | 3.27507i | −0.304960 | − | 0.176069i | ||||
\(347\) | −3.21794 | − | 12.0095i | −0.172748 | − | 0.644704i | −0.996924 | − | 0.0783710i | \(-0.975028\pi\) |
0.824176 | − | 0.566333i | \(-0.191639\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.973873 | 0.0521302 | 0.0260651 | − | 0.999660i | \(-0.491702\pi\) | ||||
0.0260651 | + | 0.999660i | \(0.491702\pi\) | |||||||
\(350\) | 2.31119 | − | 4.88337i | 0.123538 | − | 0.261027i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 3.91250 | + | 1.04835i | 0.208537 | + | 0.0558774i | ||||
\(353\) | −0.562056 | − | 2.09762i | −0.0299152 | − | 0.111645i | 0.949354 | − | 0.314209i | \(-0.101739\pi\) |
−0.979269 | + | 0.202564i | \(0.935073\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −21.6706 | − | 4.51967i | −1.15016 | − | 0.239879i | ||||
\(356\) | 28.5544i | 1.51338i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.64899 | + | 2.64899i | 0.140003 | + | 0.140003i | ||||
\(359\) | −17.9132 | + | 10.3422i | −0.945422 | + | 0.545840i | −0.891656 | − | 0.452714i | \(-0.850456\pi\) |
−0.0537661 | + | 0.998554i | \(0.517123\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.52485 | − | 11.3014i | 0.343413 | − | 0.594809i | ||||
\(362\) | 0.589212 | − | 2.19897i | 0.0309683 | − | 0.115575i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 13.2450 | + | 24.6661i | 0.694227 | + | 1.29286i | ||||
\(365\) | 0.523379 | + | 9.30547i | 0.0273949 | + | 0.487071i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −6.63239 | + | 1.77714i | −0.346208 | + | 0.0927662i | −0.427733 | − | 0.903905i | \(-0.640688\pi\) |
0.0815249 | + | 0.996671i | \(0.474021\pi\) | |||||||
\(368\) | −15.1580 | + | 4.06158i | −0.790167 | + | 0.211725i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.24272 | + | 1.11038i | 0.0646061 | + | 0.0577257i | ||||
\(371\) | −8.32063 | − | 15.4955i | −0.431985 | − | 0.804484i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.61420 | + | 24.6845i | −0.342470 | + | 1.27812i | 0.553070 | + | 0.833135i | \(0.313456\pi\) |
−0.895540 | + | 0.444981i | \(0.853210\pi\) | |||||||
\(374\) | 0.141115 | − | 0.244418i | 0.00729688 | − | 0.0126386i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 14.1616 | − | 8.17623i | 0.730331 | − | 0.421657i | ||||
\(377\) | −32.9834 | − | 32.9834i | −1.69873 | − | 1.69873i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 36.6543i | 1.88281i | 0.337284 | + | 0.941403i | \(0.390492\pi\) | ||||
−0.337284 | + | 0.941403i | \(0.609508\pi\) | |||||||
\(380\) | −2.04153 | + | 9.78859i | −0.104728 | + | 0.502144i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.0613112 | + | 0.228816i | 0.00313695 | + | 0.0117073i | ||||
\(383\) | −13.9820 | − | 3.74645i | −0.714445 | − | 0.191435i | −0.116753 | − | 0.993161i | \(-0.537249\pi\) |
−0.597692 | + | 0.801726i | \(0.703915\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −4.81997 | − | 2.62208i | −0.245649 | − | 0.133633i | ||||
\(386\) | −2.47135 | −0.125788 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.28405 | − | 12.2562i | −0.166722 | − | 0.622216i | ||||
\(389\) | 2.22749 | + | 1.28604i | 0.112938 | + | 0.0652050i | 0.555405 | − | 0.831580i | \(-0.312563\pi\) |
−0.442467 | + | 0.896785i | \(0.645897\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.86268i | 0.195344i | ||||||||
\(392\) | 10.3903 | + | 3.48278i | 0.524789 | + | 0.175907i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 3.02941 | − | 1.74903i | 0.152619 | − | 0.0881148i | ||||
\(395\) | 17.2408 | − | 5.67488i | 0.867480 | − | 0.285534i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.30188 | + | 8.59074i | −0.115528 | + | 0.431157i | −0.999326 | − | 0.0367123i | \(-0.988311\pi\) |
0.883798 | + | 0.467869i | \(0.154978\pi\) | |||||||
\(398\) | −3.24210 | + | 3.24210i | −0.162512 | + | 0.162512i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.69718 | + | 15.0398i | 0.0848588 | + | 0.751992i | ||||
\(401\) | −15.9532 | − | 27.6318i | −0.796665 | − | 1.37986i | −0.921776 | − | 0.387722i | \(-0.873262\pi\) |
0.125111 | − | 0.992143i | \(-0.460071\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.77811 | + | 1.81619i | −0.337642 | + | 0.0904709i | ||||
\(404\) | 7.61333 | + | 13.1867i | 0.378777 | + | 0.656061i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −8.72744 | − | 0.269004i | −0.433136 | − | 0.0133505i | ||||
\(407\) | 1.19681 | − | 1.19681i | 0.0593235 | − | 0.0593235i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 16.4328 | − | 28.4625i | 0.812550 | − | 1.40738i | −0.0985239 | − | 0.995135i | \(-0.531412\pi\) |
0.911074 | − | 0.412243i | \(-0.135255\pi\) | |||||||
\(410\) | −2.86932 | + | 5.68501i | −0.141706 | + | 0.280763i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −3.40403 | − | 3.40403i | −0.167705 | − | 0.167705i | ||||
\(413\) | 29.9523 | + | 9.02342i | 1.47385 | + | 0.444013i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 15.6463 | − | 10.2461i | 0.768045 | − | 0.502961i | ||||
\(416\) | 21.8320 | + | 12.6047i | 1.07040 | + | 0.617998i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.892494 | − | 0.239143i | −0.0436533 | − | 0.0116969i | ||||
\(419\) | −12.2544 | −0.598669 | −0.299334 | − | 0.954148i | \(-0.596765\pi\) | ||||
−0.299334 | + | 0.954148i | \(0.596765\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 34.4993 | 1.68140 | 0.840698 | − | 0.541505i | \(-0.182145\pi\) | ||||
0.840698 | + | 0.541505i | \(0.182145\pi\) | |||||||
\(422\) | −1.76185 | − | 0.472085i | −0.0857654 | − | 0.0229808i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −9.01266 | − | 5.20346i | −0.437693 | − | 0.252702i | ||||
\(425\) | 3.68395 | + | 0.554625i | 0.178698 | + | 0.0269032i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 7.80233 | + | 8.29861i | 0.377581 | + | 0.401598i | ||||
\(428\) | −1.14324 | − | 1.14324i | −0.0552604 | − | 0.0552604i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.315589 | − | 0.958788i | −0.0152190 | − | 0.0462369i | ||||
\(431\) | 8.92167 | − | 15.4528i | 0.429742 | − | 0.744334i | −0.567109 | − | 0.823643i | \(-0.691938\pi\) |
0.996850 | + | 0.0793088i | \(0.0252713\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.49490 | + | 2.49490i | −0.119897 | + | 0.119897i | −0.764510 | − | 0.644612i | \(-0.777019\pi\) |
0.644612 | + | 0.764510i | \(0.277019\pi\) | |||||||
\(434\) | −0.691512 | + | 1.11680i | −0.0331936 | + | 0.0536080i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −11.3271 | − | 19.6191i | −0.542469 | − | 0.939583i | ||||
\(437\) | 12.2149 | − | 3.27298i | 0.584319 | − | 0.156568i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.77922 | + | 3.08171i | 0.0849177 | + | 0.147082i | 0.905356 | − | 0.424653i | \(-0.139604\pi\) |
−0.820438 | + | 0.571735i | \(0.806271\pi\) | |||||||
\(440\) | −3.24156 | + | 0.182319i | −0.154535 | + | 0.00869171i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.24205 | − | 1.24205i | 0.0590785 | − | 0.0590785i | ||||
\(443\) | 1.21891 | − | 4.54905i | 0.0579124 | − | 0.216132i | −0.930905 | − | 0.365260i | \(-0.880980\pi\) |
0.988818 | + | 0.149128i | \(0.0476467\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −10.8895 | − | 33.0833i | −0.516212 | − | 1.56830i | ||||
\(446\) | 1.53049 | − | 0.883629i | 0.0724708 | − | 0.0418410i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −10.9986 | + | 2.58671i | −0.519637 | + | 0.122210i | ||||
\(449\) | − | 34.4214i | − | 1.62444i | −0.583348 | − | 0.812222i | \(-0.698258\pi\) | ||
0.583348 | − | 0.812222i | \(-0.301742\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5.60102 | + | 3.23375i | 0.263742 | + | 0.152271i | ||||
\(452\) | −9.22214 | − | 34.4175i | −0.433773 | − | 1.61886i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −0.596294 | −0.0279855 | ||||||||
\(455\) | −24.7525 | − | 23.5272i | −1.16041 | − | 1.10297i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.18187 | + | 0.316680i | 0.0552853 | + | 0.0148137i | 0.286356 | − | 0.958123i | \(-0.407556\pi\) |
−0.231070 | + | 0.972937i | \(0.574223\pi\) | |||||||
\(458\) | 1.64687 | + | 6.14620i | 0.0769532 | + | 0.287193i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 17.7780 | − | 11.6421i | 0.828903 | − | 0.542815i | ||||
\(461\) | 15.0355i | 0.700272i | 0.936699 | + | 0.350136i | \(0.113865\pi\) | ||||
−0.936699 | + | 0.350136i | \(0.886135\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 25.5793 | + | 25.5793i | 1.18877 | + | 1.18877i | 0.977407 | + | 0.211366i | \(0.0677913\pi\) |
0.211366 | + | 0.977407i | \(0.432209\pi\) | |||||||
\(464\) | 21.1839 | − | 12.2305i | 0.983438 | − | 0.567788i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.75075 | + | 8.22854i | −0.220074 | + | 0.381180i | ||||
\(467\) | 2.92500 | − | 10.9162i | 0.135353 | − | 0.505144i | −0.864643 | − | 0.502386i | \(-0.832456\pi\) |
0.999996 | − | 0.00275754i | \(-0.000877754\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 25.3008 | − | 13.5858i | 1.16828 | − | 0.627335i | ||||
\(470\) | −6.35572 | + | 7.11327i | −0.293167 | + | 0.328111i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 17.8789 | − | 4.79063i | 0.822942 | − | 0.220507i | ||||
\(473\) | −0.990220 | + | 0.265329i | −0.0455303 | + | 0.0121998i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.36765 | − | 12.1197i | −0.0627522 | − | 0.556090i | ||||
\(476\) | −0.111336 | + | 3.61214i | −0.00510309 | + | 0.165562i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.157192 | − | 0.586649i | 0.00718981 | − | 0.0268327i | ||||
\(479\) | −7.26651 | + | 12.5860i | −0.332015 | + | 0.575067i | −0.982907 | − | 0.184104i | \(-0.941062\pi\) |
0.650892 | + | 0.759171i | \(0.274395\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 9.12268 | − | 5.26698i | 0.415959 | − | 0.240154i | ||||
\(482\) | 0.427372 | + | 0.427372i | 0.0194663 | + | 0.0194663i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | − | 18.5883i | − | 0.844924i | ||||||
\(485\) | 8.47896 | + | 12.9478i | 0.385010 | + | 0.587928i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −9.99761 | − | 37.3116i | −0.453035 | − | 1.69075i | −0.693802 | − | 0.720166i | \(-0.744066\pi\) |
0.240767 | − | 0.970583i | \(-0.422601\pi\) | |||||||
\(488\) | 6.51012 | + | 1.74438i | 0.294699 | + | 0.0789644i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −6.39243 | − | 0.0347821i | −0.288781 | − | 0.00157130i | ||||
\(491\) | 25.2637 | 1.14014 | 0.570068 | − | 0.821598i | \(-0.306917\pi\) | ||||
0.570068 | + | 0.821598i | \(0.306917\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.55834 | − | 5.81579i | −0.0701840 | − | 0.261930i | ||||
\(494\) | −4.98018 | − | 2.87531i | −0.224069 | − | 0.129366i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 3.67985i | − | 0.165230i | ||||||
\(497\) | 5.99652 | + | 25.4971i | 0.268981 | + | 1.14370i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.71355 | − | 1.56667i | 0.121475 | − | 0.0701339i | −0.438031 | − | 0.898960i | \(-0.644324\pi\) |
0.559506 | + | 0.828826i | \(0.310991\pi\) | |||||||
\(500\) | −8.55073 | − | 18.6270i | −0.382400 | − | 0.833026i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 1.94446 | − | 7.25682i | 0.0867854 | − | 0.323888i | ||||
\(503\) | 23.8589 | − | 23.8589i | 1.06382 | − | 1.06382i | 0.0659958 | − | 0.997820i | \(-0.478978\pi\) |
0.997820 | − | 0.0659958i | \(-0.0210224\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −13.8497 | − | 12.3748i | −0.616305 | − | 0.550670i | ||||
\(506\) | 0.981839 | + | 1.70059i | 0.0436480 | + | 0.0756006i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −23.2948 | + | 6.24182i | −1.03354 | + | 0.276936i | ||||
\(509\) | 0.244582 | + | 0.423629i | 0.0108409 | + | 0.0187770i | 0.871395 | − | 0.490582i | \(-0.163216\pi\) |
−0.860554 | + | 0.509359i | \(0.829882\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 9.71568 | − | 5.21705i | 0.429796 | − | 0.230789i | ||||
\(512\) | −16.0496 | + | 16.0496i | −0.709301 | + | 0.709301i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −1.99642 | + | 3.45790i | −0.0880582 | + | 0.152521i | ||||
\(515\) | 5.24210 | + | 2.64577i | 0.230995 | + | 0.116587i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.85045 | + | 6.85045i | 0.301282 | + | 0.301282i | ||||
\(518\) | 0.568791 | − | 1.88804i | 0.0249912 | − | 0.0829557i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −19.7809 | − | 4.12554i | −0.867450 | − | 0.180917i | ||||
\(521\) | 7.19061 | + | 4.15150i | 0.315026 | + | 0.181881i | 0.649173 | − | 0.760640i | \(-0.275115\pi\) |
−0.334147 | + | 0.942521i | \(0.608448\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −15.8284 | − | 4.24121i | −0.692128 | − | 0.185455i | −0.104426 | − | 0.994533i | \(-0.533301\pi\) |
−0.587702 | + | 0.809078i | \(0.699967\pi\) | |||||||
\(524\) | −18.9471 | −0.827709 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.53880 | −0.197901 | ||||||||
\(527\) | −0.874911 | − | 0.234432i | −0.0381117 | − | 0.0102120i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.35624 | − | 1.93773i | −0.145924 | − | 0.0842490i | ||||
\(530\) | 5.94291 | + | 1.23946i | 0.258144 | + | 0.0538389i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 11.5170 | − | 2.70861i | 0.499325 | − | 0.117433i | ||||
\(533\) | 28.4626 | + | 28.4626i | 1.23285 | + | 1.23285i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.76055 | + | 0.888578i | 0.0761151 | + | 0.0384166i | ||||
\(536\) | 8.49616 | − | 14.7158i | 0.366978 | − | 0.635625i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −2.44588 | + | 2.44588i | −0.105449 | + | 0.105449i | ||||
\(539\) | −0.399844 | + | 6.48001i | −0.0172225 | + | 0.279114i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −10.9266 | − | 18.9255i | −0.469772 | − | 0.813670i | 0.529630 | − | 0.848229i | \(-0.322331\pi\) |
−0.999403 | + | 0.0345590i | \(0.988997\pi\) | |||||||
\(542\) | −9.25315 | + | 2.47937i | −0.397457 | + | 0.106498i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.62700 | + | 2.81806i | 0.0697573 | + | 0.120823i | ||||
\(545\) | 20.6056 | + | 18.4111i | 0.882646 | + | 0.788646i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −5.48357 | + | 5.48357i | −0.234460 | + | 0.234460i | −0.814552 | − | 0.580091i | \(-0.803017\pi\) |
0.580091 | + | 0.814552i | \(0.303017\pi\) | |||||||
\(548\) | −0.419059 | + | 1.56395i | −0.0179013 | + | 0.0668087i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.76288 | − | 0.692228i | 0.0751697 | − | 0.0295167i | ||||
\(551\) | −17.0708 | + | 9.85585i | −0.727242 | + | 0.419873i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −14.7110 | − | 15.6467i | −0.625573 | − | 0.665364i | ||||
\(554\) | − | 2.99334i | − | 0.127175i | ||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 29.6472 | + | 17.1168i | 1.25732 | + | 0.725914i | ||||
\(557\) | 6.84583 | + | 25.5490i | 0.290067 | + | 1.08254i | 0.945057 | + | 0.326907i | \(0.106006\pi\) |
−0.654990 | + | 0.755638i | \(0.727327\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −6.38029 | −0.269858 | ||||||||
\(560\) | 15.2769 | − | 9.34473i | 0.645567 | − | 0.394887i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −6.70087 | − | 1.79549i | −0.282659 | − | 0.0757383i | ||||
\(563\) | −11.0066 | − | 41.0771i | −0.463872 | − | 1.73119i | −0.660602 | − | 0.750736i | \(-0.729699\pi\) |
0.196730 | − | 0.980458i | \(-0.436968\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 23.8103 | + | 36.3594i | 1.00171 | + | 1.52965i | ||||
\(566\) | − | 0.539880i | − | 0.0226929i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 10.9590 | + | 10.9590i | 0.459828 | + | 0.459828i | ||||
\(569\) | −17.6275 | + | 10.1772i | −0.738982 | + | 0.426651i | −0.821699 | − | 0.569922i | \(-0.806974\pi\) |
0.0827171 | + | 0.996573i | \(0.473640\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 5.57836 | − | 9.66200i | 0.233447 | − | 0.404342i | −0.725373 | − | 0.688356i | \(-0.758333\pi\) |
0.958820 | + | 0.284014i | \(0.0916661\pi\) | |||||||
\(572\) | −2.54019 | + | 9.48011i | −0.106211 | + | 0.396383i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 7.53123 | + | 0.232134i | 0.314348 | + | 0.00968907i | ||||
\(575\) | −16.1579 | + | 20.2684i | −0.673830 | + | 0.845252i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −17.1708 | + | 4.60090i | −0.714830 | + | 0.191538i | −0.597864 | − | 0.801598i | \(-0.703984\pi\) |
−0.116966 | + | 0.993136i | \(0.537317\pi\) | |||||||
\(578\) | −6.48728 | + | 1.73826i | −0.269835 | + | 0.0723022i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −22.0704 | + | 24.7010i | −0.916423 | + | 1.02565i | ||||
\(581\) | −18.8145 | − | 11.6498i | −0.780557 | − | 0.483315i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.59577 | − | 5.95548i | 0.0660899 | − | 0.246651i | ||||
\(584\) | 3.26258 | − | 5.65095i | 0.135006 | − | 0.233838i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.40434 | + | 0.810798i | −0.0580129 | + | 0.0334938i | ||||
\(587\) | −19.9795 | − | 19.9795i | −0.824644 | − | 0.824644i | 0.162126 | − | 0.986770i | \(-0.448165\pi\) |
−0.986770 | + | 0.162126i | \(0.948165\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.96537i | 0.122186i | ||||||||
\(590\) | −9.03290 | + | 5.91528i | −0.371879 | + | 0.243528i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.42973 | + | 5.33582i | 0.0587615 | + | 0.219301i | ||||
\(593\) | −22.5538 | − | 6.04327i | −0.926172 | − | 0.248167i | −0.235951 | − | 0.971765i | \(-0.575820\pi\) |
−0.690222 | + | 0.723598i | \(0.742487\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.24853 | − | 4.22752i | −0.0511849 | − | 0.173311i | ||||
\(596\) | 10.5179 | 0.430830 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 3.16314 | + | 11.8050i | 0.129351 | + | 0.482743i | ||||
\(599\) | −12.7696 | − | 7.37252i | −0.521751 | − | 0.301233i | 0.215900 | − | 0.976416i | \(-0.430732\pi\) |
−0.737651 | + | 0.675182i | \(0.764065\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 31.4686i | 1.28363i | 0.766859 | + | 0.641815i | \(0.221818\pi\) | ||||
−0.766859 | + | 0.641815i | \(0.778182\pi\) | |||||||
\(602\) | −0.870134 | + | 0.818098i | −0.0354640 | + | 0.0333432i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −29.9821 | + | 17.3102i | −1.21995 | + | 0.704341i | ||||
\(605\) | 7.08885 | + | 21.5366i | 0.288203 | + | 0.875587i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −5.58329 | + | 20.8371i | −0.226619 | + | 0.845753i | 0.755131 | + | 0.655574i | \(0.227573\pi\) |
−0.981750 | + | 0.190178i | \(0.939093\pi\) | |||||||
\(608\) | 7.53291 | − | 7.53291i | 0.305500 | − | 0.305500i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −3.92538 | + | 0.220780i | −0.158934 | + | 0.00893912i | ||||
\(611\) | 30.1479 | + | 52.2177i | 1.21965 | + | 2.11250i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 28.7726 | − | 7.70959i | 1.16211 | − | 0.311388i | 0.374304 | − | 0.927306i | \(-0.377882\pi\) |
0.787810 | + | 0.615918i | \(0.211215\pi\) | |||||||
\(614\) | −2.71216 | − | 4.69760i | −0.109454 | − | 0.189580i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.81736 | + | 3.38445i | 0.0732233 | + | 0.136363i | ||||
\(617\) | 12.6484 | − | 12.6484i | 0.509204 | − | 0.509204i | −0.405078 | − | 0.914282i | \(-0.632756\pi\) |
0.914282 | + | 0.405078i | \(0.132756\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.98720 | − | 17.2983i | 0.401419 | − | 0.695279i | −0.592478 | − | 0.805587i | \(-0.701850\pi\) |
0.993897 | + | 0.110308i | \(0.0351837\pi\) | |||||||
\(620\) | 1.55800 | + | 4.73336i | 0.0625709 | + | 0.190096i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −0.349468 | − | 0.349468i | −0.0140124 | − | 0.0140124i | ||||
\(623\) | −30.0243 | + | 28.2288i | −1.20290 | + | 1.13096i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 17.0106 | + | 18.3205i | 0.680422 | + | 0.732820i | ||||
\(626\) | −9.68366 | − | 5.59086i | −0.387037 | − | 0.223456i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −7.90156 | − | 2.11722i | −0.315307 | − | 0.0844861i | ||||
\(629\) | 1.35971 | 0.0542153 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −33.1850 | −1.32107 | −0.660536 | − | 0.750794i | \(-0.729671\pi\) | ||||
−0.660536 | + | 0.750794i | \(0.729671\pi\) | |||||||
\(632\) | −12.2745 | − | 3.28895i | −0.488255 | − | 0.130828i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 5.10645 | + | 2.94821i | 0.202803 | + | 0.117088i | ||||
\(635\) | 24.6092 | − | 16.1155i | 0.976585 | − | 0.639526i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −12.8419 | + | 38.3117i | −0.508815 | + | 1.51797i | ||||
\(638\) | −2.16437 | − | 2.16437i | −0.0856883 | − | 0.0856883i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 10.5575 | − | 20.9176i | 0.417320 | − | 0.826840i | ||||
\(641\) | 5.49850 | − | 9.52368i | 0.217178 | − | 0.376163i | −0.736766 | − | 0.676147i | \(-0.763648\pi\) |
0.953944 | + | 0.299985i | \(0.0969816\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 12.1848 | − | 12.1848i | 0.480522 | − | 0.480522i | −0.424777 | − | 0.905298i | \(-0.639647\pi\) |
0.905298 | + | 0.424777i | \(0.139647\pi\) | |||||||
\(644\) | −21.3779 | − | 13.2370i | −0.842407 | − | 0.521611i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.371141 | − | 0.642836i | −0.0146024 | − | 0.0252920i | ||||
\(647\) | 32.4815 | − | 8.70340i | 1.27698 | − | 0.342166i | 0.444280 | − | 0.895888i | \(-0.353460\pi\) |
0.832702 | + | 0.553722i | \(0.186793\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5.48299 | + | 9.49682i | 0.215226 | + | 0.372783i | ||||
\(650\) | 11.7130 | − | 1.32176i | 0.459421 | − | 0.0518435i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −4.22591 | + | 4.22591i | −0.165500 | + | 0.165500i | ||||
\(653\) | 12.7016 | − | 47.4030i | 0.497052 | − | 1.85502i | −0.0211667 | − | 0.999776i | \(-0.506738\pi\) |
0.518219 | − | 0.855248i | \(-0.326595\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 21.9523 | − | 7.22568i | 0.857747 | − | 0.282331i | ||||
\(656\) | −18.2804 | + | 10.5542i | −0.713729 | + | 0.412072i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 10.8070 | + | 3.25572i | 0.421301 | + | 0.126921i | ||||
\(659\) | 8.69642i | 0.338764i | 0.985550 | + | 0.169382i | \(0.0541772\pi\) | ||||
−0.985550 | + | 0.169382i | \(0.945823\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −31.2860 | − | 18.0630i | −1.21689 | − | 0.702569i | −0.252635 | − | 0.967562i | \(-0.581297\pi\) |
−0.964250 | + | 0.264993i | \(0.914630\pi\) | |||||||
\(662\) | 0.718684 | + | 2.68216i | 0.0279324 | + | 0.104245i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −13.0939 | −0.508142 | ||||||||
\(665\) | −12.3107 | + | 7.53035i | −0.477390 | + | 0.292015i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 40.4647 | + | 10.8425i | 1.56680 | + | 0.419823i | ||||
\(668\) | −1.49954 | − | 5.59638i | −0.0580191 | − | 0.216530i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −2.02378 | + | 9.70352i | −0.0781856 | + | 0.374880i | ||||
\(671\) | 3.99297i | 0.154147i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −17.0769 | − | 17.0769i | −0.658268 | − | 0.658268i | 0.296702 | − | 0.954970i | \(-0.404113\pi\) |
−0.954970 | + | 0.296702i | \(0.904113\pi\) | |||||||
\(674\) | 1.74656 | − | 1.00838i | 0.0672750 | − | 0.0388412i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −18.6258 | + | 32.2608i | −0.716377 | + | 1.24080i | ||||
\(677\) | 0.600353 | − | 2.24055i | 0.0230734 | − | 0.0861113i | −0.953429 | − | 0.301617i | \(-0.902473\pi\) |
0.976502 | + | 0.215506i | \(0.0691401\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 9.64056 | − | 15.5696i | 0.369971 | − | 0.597506i | ||||
\(680\) | −1.94496 | − | 1.73783i | −0.0745858 | − | 0.0666426i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.444780 | + | 0.119179i | −0.0170315 | + | 0.00456358i | ||||
\(683\) | −15.1994 | + | 4.07266i | −0.581588 | + | 0.155836i | −0.537606 | − | 0.843196i | \(-0.680671\pi\) |
−0.0439822 | + | 0.999032i | \(0.514004\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.110903 | − | 1.97182i | −0.00423740 | − | 0.0753393i | ||||
\(686\) | 3.16107 | + | 6.87152i | 0.120690 | + | 0.262356i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.865969 | − | 3.23184i | 0.0330147 | − | 0.123213i | ||||
\(689\) | 19.1865 | − | 33.2320i | 0.730948 | − | 1.26604i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 11.8944 | − | 6.86721i | 0.452483 | − | 0.261241i | −0.256395 | − | 0.966572i | \(-0.582535\pi\) |
0.708878 | + | 0.705331i | \(0.249202\pi\) | |||||||
\(692\) | 20.7901 | + | 20.7901i | 0.790322 | + | 0.790322i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 5.07775i | − | 0.192749i | ||||||
\(695\) | −40.8771 | − | 8.52541i | −1.55056 | − | 0.323387i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.34475 | + | 5.01866i | 0.0509359 | + | 0.190095i | ||||
\(698\) | 0.384181 | + | 0.102941i | 0.0145415 | + | 0.00389637i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −15.6941 | + | 18.4881i | −0.593181 | + | 0.698784i | ||||
\(701\) | −50.1869 | −1.89553 | −0.947766 | − | 0.318966i | \(-0.896664\pi\) | ||||
−0.947766 | + | 0.318966i | \(0.896664\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.15213 | − | 4.29981i | −0.0434535 | − | 0.162171i | ||||
\(704\) | −3.43016 | − | 1.98040i | −0.129279 | − | 0.0746392i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | − | 0.886896i | − | 0.0333788i | ||||||
\(707\) | −6.33898 | + | 21.0416i | −0.238402 | + | 0.791349i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −22.2408 | + | 12.8408i | −0.835272 | + | 0.482245i | −0.855654 | − | 0.517547i | \(-0.826845\pi\) |
0.0203820 | + | 0.999792i | \(0.493512\pi\) | |||||||
\(710\) | −8.07106 | − | 4.07360i | −0.302901 | − | 0.152879i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −6.31116 | + | 23.5536i | −0.236521 | + | 0.882707i | ||||
\(713\) | 4.45628 | − | 4.45628i | 0.166889 | − | 0.166889i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.672257 | − | 11.9525i | −0.0251410 | − | 0.446997i | ||||
\(716\) | −8.40788 | − | 14.5629i | −0.314217 | − | 0.544240i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −8.15972 | + | 2.18639i | −0.304518 | + | 0.0815954i | ||||
\(719\) | 20.2778 | + | 35.1222i | 0.756235 | + | 1.30984i | 0.944758 | + | 0.327769i | \(0.106297\pi\) |
−0.188522 | + | 0.982069i | \(0.560370\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.214048 | − | 6.94448i | 0.00797158 | − | 0.258626i | ||||
\(722\) | 3.76856 | − | 3.76856i | 0.140251 | − | 0.140251i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −5.10937 | + | 8.84968i | −0.189888 | + | 0.328896i | ||||
\(725\) | 16.1509 | − | 37.0355i | 0.599831 | − | 1.37547i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −19.3599 | − | 19.3599i | −0.718020 | − | 0.718020i | 0.250180 | − | 0.968199i | \(-0.419510\pi\) |
−0.968199 | + | 0.250180i | \(0.919510\pi\) | |||||||
\(728\) | 5.47361 | + | 23.2737i | 0.202865 | + | 0.862581i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.777146 | + | 3.72621i | −0.0287635 | + | 0.137913i | ||||
\(731\) | −0.713225 | − | 0.411780i | −0.0263796 | − | 0.0152302i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 16.4569 | + | 4.40962i | 0.607851 | + | 0.162873i | 0.549599 | − | 0.835429i | \(-0.314781\pi\) |
0.0582520 | + | 0.998302i | \(0.481447\pi\) | |||||||
\(734\) | −2.80424 | −0.103507 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −22.6405 | −0.834540 | ||||||||
\(737\) | 9.72405 | + | 2.60555i | 0.358190 | + | 0.0959767i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.49335 | + | 0.862189i | 0.0549339 | + | 0.0317161i | 0.527215 | − | 0.849732i | \(-0.323236\pi\) |
−0.472281 | + | 0.881448i | \(0.656569\pi\) | |||||||
\(740\) | −4.09816 | − | 6.25808i | −0.150651 | − | 0.230052i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.64447 | − | 6.99228i | −0.0603705 | − | 0.256695i | ||||
\(743\) | 23.6008 | + | 23.6008i | 0.865830 | + | 0.865830i | 0.992008 | − | 0.126178i | \(-0.0402710\pi\) |
−0.126178 | + | 0.992008i | \(0.540271\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −12.1861 | + | 4.01111i | −0.446465 | + | 0.146956i | ||||
\(746\) | −5.21844 | + | 9.03859i | −0.191060 | + | 0.330926i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.895797 | + | 0.895797i | −0.0327536 | + | 0.0327536i | ||||
\(749\) | 0.0718877 | − | 2.33229i | 0.00262672 | − | 0.0852200i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.70285 | + | 6.41353i | 0.135119 | + | 0.234033i | 0.925643 | − | 0.378398i | \(-0.123525\pi\) |
−0.790524 | + | 0.612431i | \(0.790192\pi\) | |||||||
\(752\) | −30.5419 | + | 8.18368i | −1.11375 | + | 0.298428i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −9.52510 | − | 16.4980i | −0.346884 | − | 0.600820i | ||||
\(755\) | 28.1361 | − | 31.4897i | 1.02398 | − | 1.14603i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 13.1631 | − | 13.1631i | 0.478421 | − | 0.478421i | −0.426205 | − | 0.904626i | \(-0.640150\pi\) |
0.904626 | + | 0.426205i | \(0.140150\pi\) | |||||||
\(758\) | −3.87446 | + | 14.4597i | −0.140727 | + | 0.525199i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.84749 | + | 7.62306i | −0.139563 | + | 0.276517i | ||||
\(761\) | −28.4617 | + | 16.4324i | −1.03174 | + | 0.595674i | −0.917482 | − | 0.397778i | \(-0.869782\pi\) |
−0.114255 | + | 0.993451i | \(0.536448\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 9.43111 | − | 31.3055i | 0.341429 | − | 1.13334i | ||||
\(764\) | − | 1.06332i | − | 0.0384697i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −5.11970 | − | 2.95586i | −0.184982 | − | 0.106799i | ||||
\(767\) | 17.6643 | + | 65.9241i | 0.637821 | + | 2.38038i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −14.4951 | −0.522707 | −0.261353 | − | 0.965243i | \(-0.584169\pi\) | ||||
−0.261353 | + | 0.965243i | \(0.584169\pi\) | |||||||
\(770\) | −1.62426 | − | 1.54386i | −0.0585342 | − | 0.0556368i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 10.7152 | + | 2.87112i | 0.385648 | + | 0.103334i | ||||
\(773\) | 7.39923 | + | 27.6143i | 0.266132 | + | 0.993218i | 0.961554 | + | 0.274616i | \(0.0885509\pi\) |
−0.695422 | + | 0.718602i | \(0.744782\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.61023 | − | 4.88994i | −0.129683 | − | 0.175652i | ||||
\(776\) | − | 10.8356i | − | 0.388976i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0.742780 | + | 0.742780i | 0.0266300 | + | 0.0266300i | ||||
\(779\) | 14.7311 | − | 8.50498i | 0.527795 | − | 0.304722i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −4.59098 | + | 7.95181i | −0.164278 | + | 0.284538i | ||||
\(782\) | −0.408295 | + | 1.52378i | −0.0146006 | + | 0.0544902i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −17.6632 | − | 11.7048i | −0.630830 | − | 0.418027i | ||||
\(785\) | 9.96223 | − | 0.560318i | 0.355567 | − | 0.0199986i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 10.2518 | − | 2.74696i | 0.365437 | − | 0.0979185i | −0.0714277 | − | 0.997446i | \(-0.522756\pi\) |
0.436865 | + | 0.899527i | \(0.356089\pi\) | |||||||
\(788\) | −15.1668 | + | 4.06392i | −0.540293 | + | 0.144771i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 7.40114 | − | 0.416271i | 0.263321 | − | 0.0148103i | ||||
\(791\) | 27.0723 | − | 43.7219i | 0.962579 | − | 1.55457i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −6.43199 | + | 24.0045i | −0.228407 | + | 0.852425i | ||||
\(794\) | −1.81613 | + | 3.14562i | −0.0644519 | + | 0.111634i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 17.8236 | − | 10.2904i | 0.631739 | − | 0.364735i | ||||
\(797\) | 8.79395 | + | 8.79395i | 0.311498 | + | 0.311498i | 0.845490 | − | 0.533992i | \(-0.179309\pi\) |
−0.533992 | + | 0.845490i | \(0.679309\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 7.78291i | 0.275340i | ||||||||
\(800\) | −3.25085 | + | 21.5929i | −0.114935 | + | 0.763425i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −3.37259 | − | 12.5867i | −0.119090 | − | 0.444451i | ||||
\(803\) | 3.73410 | + | 1.00055i | 0.131773 | + | 0.0353086i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 29.8167 | + | 7.18383i | 1.05090 | + | 0.253197i | ||||
\(806\) | −2.86586 | −0.100946 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 3.36543 | + | 12.5600i | 0.118396 | + | 0.441858i | ||||
\(809\) | −41.4536 | − | 23.9333i | −1.45743 | − | 0.841449i | −0.458547 | − | 0.888670i | \(-0.651630\pi\) |
−0.998884 | + | 0.0472214i | \(0.984963\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 20.2287i | 0.710327i | 0.934804 | + | 0.355163i | \(0.115575\pi\) | ||||
−0.934804 | + | 0.355163i | \(0.884425\pi\) | |||||||
\(812\) | 37.5276 | + | 11.3056i | 1.31696 | + | 0.396748i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.598631 | − | 0.345620i | 0.0209820 | − | 0.0121140i | ||||
\(815\) | 3.28458 | − | 6.50778i | 0.115054 | − | 0.227957i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.697832 | + | 2.60434i | −0.0244140 | + | 0.0911144i | ||||
\(818\) | 9.49109 | − | 9.49109i | 0.331848 | − | 0.331848i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 19.0454 | − | 21.3154i | 0.665092 | − | 0.744366i | ||||
\(821\) | 7.84950 | + | 13.5957i | 0.273949 | + | 0.474494i | 0.969870 | − | 0.243625i | \(-0.0783366\pi\) |
−0.695920 | + | 0.718119i | \(0.745003\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 8.46662 | − | 2.26862i | 0.295128 | − | 0.0790793i | −0.108217 | − | 0.994127i | \(-0.534514\pi\) |
0.403345 | + | 0.915048i | \(0.367847\pi\) | |||||||
\(824\) | −2.05551 | − | 3.56024i | −0.0716069 | − | 0.124027i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 10.8620 | + | 6.72566i | 0.377937 | + | 0.234016i | ||||
\(827\) | −12.7483 | + | 12.7483i | −0.443302 | + | 0.443302i | −0.893120 | − | 0.449818i | \(-0.851489\pi\) |
0.449818 | + | 0.893120i | \(0.351489\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −26.2262 | + | 45.4252i | −0.910875 | + | 1.57768i | −0.0980444 | + | 0.995182i | \(0.531259\pi\) |
−0.812831 | + | 0.582500i | \(0.802075\pi\) | |||||||
\(830\) | 7.25529 | − | 2.38811i | 0.251835 | − | 0.0828925i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −17.4309 | − | 17.4309i | −0.604309 | − | 0.604309i | ||||
\(833\) | −3.90816 | + | 3.45389i | −0.135410 | + | 0.119670i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.87162 | + | 5.91214i | 0.133983 | + | 0.204598i | ||||
\(836\) | 3.59182 | + | 2.07374i | 0.124226 | + | 0.0717217i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −4.83422 | − | 1.29533i | −0.166995 | − | 0.0447463i | ||||
\(839\) | 1.48091 | 0.0511267 | 0.0255633 | − | 0.999673i | \(-0.491862\pi\) | ||||
0.0255633 | + | 0.999673i | \(0.491862\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −36.2994 | −1.25170 | ||||||||
\(842\) | 13.6096 | + | 3.64667i | 0.469016 | + | 0.125673i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 7.09050 | + | 4.09370i | 0.244065 | + | 0.140911i | ||||
\(845\) | 9.27700 | − | 44.4808i | 0.319138 | − | 1.53019i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 19.5452 | − | 18.3764i | 0.671582 | − | 0.631420i | ||||
\(848\) | 14.2291 | + | 14.2291i | 0.488628 | + | 0.488628i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 1.39465 | + | 0.608196i | 0.0478360 | + | 0.0208609i | ||||
\(851\) | −4.73025 | + | 8.19304i | −0.162151 | + | 0.280854i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 35.7294 | − | 35.7294i | 1.22335 | − | 1.22335i | 0.256918 | − | 0.966433i | \(-0.417293\pi\) |
0.966433 | − | 0.256918i | \(-0.0827070\pi\) | |||||||
\(854\) | 2.20074 | + | 4.09842i | 0.0753077 | + | 0.140245i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −0.690337 | − | 1.19570i | −0.0235952 | − | 0.0408681i | ||||
\(857\) | −43.0261 | + | 11.5288i | −1.46974 | + | 0.393816i | −0.902843 | − | 0.429971i | \(-0.858524\pi\) |
−0.566899 | + | 0.823787i | \(0.691857\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −12.6056 | − | 21.8335i | −0.430096 | − | 0.744948i | 0.566785 | − | 0.823866i | \(-0.308187\pi\) |
−0.996881 | + | 0.0789174i | \(0.974854\pi\) | |||||||
\(860\) | 0.254433 | + | 4.52372i | 0.00867609 | + | 0.154258i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 5.15289 | − | 5.15289i | 0.175508 | − | 0.175508i | ||||
\(863\) | 6.17854 | − | 23.0586i | 0.210320 | − | 0.784924i | −0.777442 | − | 0.628955i | \(-0.783483\pi\) |
0.987762 | − | 0.155970i | \(-0.0498502\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −32.0161 | − | 16.1591i | −1.08858 | − | 0.549425i | ||||
\(866\) | −1.24792 | + | 0.720489i | −0.0424062 | + | 0.0244832i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 4.29569 | − | 4.03880i | 0.145805 | − | 0.137086i | ||||
\(869\) | − | 7.52857i | − | 0.255389i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 54.2609 | + | 31.3275i | 1.83856 | + | 1.06149i | ||||
\(872\) | −5.00708 | − | 18.6867i | −0.169561 | − | 0.632810i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 5.16460 | 0.174695 | ||||||||
\(875\) | 11.1327 | − | 27.4055i | 0.376353 | − | 0.926476i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −46.3608 | − | 12.4223i | −1.56549 | − | 0.419472i | −0.631095 | − | 0.775706i | \(-0.717394\pi\) |
−0.934397 | + | 0.356234i | \(0.884061\pi\) | |||||||
\(878\) | 0.376137 | + | 1.40376i | 0.0126940 | + | 0.0473747i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 6.14558 | + | 1.28173i | 0.207167 | + | 0.0432072i | ||||
\(881\) | − | 17.3873i | − | 0.585793i | −0.956144 | − | 0.292896i | \(-0.905381\pi\) | ||
0.956144 | − | 0.292896i | \(-0.0946191\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 11.2463 | + | 11.2463i | 0.378469 | + | 0.378469i | 0.870550 | − | 0.492080i | \(-0.163763\pi\) |
−0.492080 | + | 0.870550i | \(0.663763\pi\) | |||||||
\(884\) | −6.82823 | + | 3.94228i | −0.229658 | + | 0.132593i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.961693 | − | 1.66570i | 0.0323087 | − | 0.0559603i | ||||
\(887\) | 5.00349 | − | 18.6733i | 0.168001 | − | 0.626987i | −0.829638 | − | 0.558302i | \(-0.811453\pi\) |
0.997638 | − | 0.0686850i | \(-0.0218803\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −29.5923 | − | 18.3233i | −0.992495 | − | 0.614545i | ||||
\(890\) | −0.798781 | − | 14.2020i | −0.0267752 | − | 0.476052i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −7.66241 | + | 2.05314i | −0.256556 | + | 0.0687441i | ||||
\(893\) | 24.6119 | − | 6.59473i | 0.823605 | − | 0.220684i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 15.2951 | + | 13.6662i | 0.511260 | + | 0.456812i | ||||
\(896\) | −27.7106 | − | 0.854119i | −0.925746 | − | 0.0285341i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 3.63843 | − | 13.5788i | 0.121416 | − | 0.453130i | ||||
\(899\) | −4.91173 | + | 8.50736i | −0.163815 | + | 0.283736i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 4.28955 | − | 2.47657i | 0.142906 | − | 0.0825066i | ||||
\(902\) | 1.86772 | + | 1.86772i | 0.0621882 | + | 0.0621882i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | − | 30.4282i | − | 1.01203i | ||||||
\(905\) | 2.54483 | − | 12.2018i | 0.0845932 | − | 0.405602i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 11.4540 | + | 42.7470i | 0.380325 | + | 1.41939i | 0.845406 | + | 0.534123i | \(0.179358\pi\) |
−0.465082 | + | 0.885268i | \(0.653975\pi\) | |||||||
\(908\) | 2.58539 | + | 0.692754i | 0.0857993 | + | 0.0229898i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −7.27765 | − | 11.8976i | −0.241252 | − | 0.394402i | ||||
\(911\) | 16.2351 | 0.537894 | 0.268947 | − | 0.963155i | \(-0.413324\pi\) | ||||
0.268947 | + | 0.963155i | \(0.413324\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −2.00778 | − | 7.49314i | −0.0664479 | − | 0.247987i | ||||
\(914\) | 0.432757 | + | 0.249852i | 0.0143143 | + | 0.00826438i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | − | 28.5618i | − | 0.943707i | ||||||
\(917\) | −18.7311 | − | 19.9225i | −0.618555 | − | 0.657899i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 37.3664 | − | 21.5735i | 1.23260 | − | 0.711644i | 0.265032 | − | 0.964240i | \(-0.414618\pi\) |
0.967572 | + | 0.252596i | \(0.0812842\pi\) | |||||||
\(920\) | 17.2376 | − | 5.67384i | 0.568308 | − | 0.187061i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1.58929 | + | 5.93131i | −0.0523405 | + | 0.195337i | ||||
\(923\) | −40.4085 | + | 40.4085i | −1.33006 | + | 1.33006i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 7.13475 | + | 5.68778i | 0.234589 | + | 0.187013i | ||||
\(926\) | 7.38693 | + | 12.7945i | 0.242750 | + | 0.420455i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 34.0884 | − | 9.13396i | 1.11901 | − | 0.299837i | ||||
\(929\) | −14.8286 | − | 25.6838i | −0.486510 | − | 0.842659i | 0.513370 | − | 0.858167i | \(-0.328397\pi\) |
−0.999880 | + | 0.0155078i | \(0.995064\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 14.2337 | + | 9.43215i | 0.466492 | + | 0.309126i | ||||
\(932\) | 30.1578 | − | 30.1578i | 0.987851 | − | 0.987851i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 2.30775 | − | 3.99714i | 0.0755119 | − | 0.130791i | ||||
\(935\) | 0.696257 | − | 1.37950i | 0.0227700 | − | 0.0451145i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 23.5836 | + | 23.5836i | 0.770443 | + | 0.770443i | 0.978184 | − | 0.207741i | \(-0.0666111\pi\) |
−0.207741 | + | 0.978184i | \(0.566611\pi\) | |||||||
\(938\) | 11.4169 | − | 2.68508i | 0.372776 | − | 0.0876709i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 35.8208 | − | 23.4576i | 1.16835 | − | 0.765103i | ||||
\(941\) | 19.4488 | + | 11.2288i | 0.634014 | + | 0.366048i | 0.782305 | − | 0.622896i | \(-0.214044\pi\) |
−0.148291 | + | 0.988944i | \(0.547377\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −34.9185 | − | 9.35638i | −1.13710 | − | 0.304686i | ||||
\(944\) | −35.7903 | −1.16488 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.418675 | −0.0136123 | ||||||||
\(947\) | −2.88568 | − | 0.773216i | −0.0937720 | − | 0.0251261i | 0.211628 | − | 0.977350i | \(-0.432123\pi\) |
−0.305400 | + | 0.952224i | \(0.598790\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 20.8365 | + | 12.0300i | 0.676382 | + | 0.390509i | ||||
\(950\) | 0.741562 | − | 4.92563i | 0.0240594 | − | 0.159809i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.890203 | + | 2.95493i | −0.0288516 | + | 0.0957698i | ||||
\(953\) | −24.1870 | − | 24.1870i | −0.783494 | − | 0.783494i | 0.196924 | − | 0.980419i | \(-0.436905\pi\) |
−0.980419 | + | 0.196924i | \(0.936905\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.405510 | + | 1.23198i | 0.0131220 | + | 0.0398658i | ||||
\(956\) | −1.36310 | + | 2.36095i | −0.0440857 | + | 0.0763587i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −4.19691 | + | 4.19691i | −0.135596 | + | 0.135596i | ||||
\(959\) | −2.05874 | + | 1.10549i | −0.0664802 | + | 0.0356980i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −14.7611 | − | 25.5670i | −0.476164 | − | 0.824741i | ||||
\(962\) | 4.15552 | − | 1.11347i | 0.133979 | − | 0.0358996i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −1.35648 | − | 2.34949i | −0.0436893 | − | 0.0756721i | ||||
\(965\) | −13.5096 | + | 0.759839i | −0.434890 | + | 0.0244601i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 22.8071 | − | 22.8071i | 0.733427 | − | 0.733427i | −0.237870 | − | 0.971297i | \(-0.576449\pi\) |
0.971297 | + | 0.237870i | \(0.0764493\pi\) | |||||||
\(968\) | 4.10844 | − | 15.3329i | 0.132050 | − | 0.492818i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 1.97623 | + | 6.00398i | 0.0634530 | + | 0.192776i | ||||
\(971\) | −3.42093 | + | 1.97508i | −0.109783 | + | 0.0633832i | −0.553886 | − | 0.832592i | \(-0.686856\pi\) |
0.444103 | + | 0.895976i | \(0.353522\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 11.3112 | + | 48.0950i | 0.362619 | + | 1.54185i | ||||
\(974\) | − | 15.7757i | − | 0.505487i | ||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −11.2861 | − | 6.51605i | −0.361260 | − | 0.208574i | ||||
\(977\) | 4.82812 | + | 18.0188i | 0.154465 | + | 0.576472i | 0.999151 | + | 0.0412088i | \(0.0131209\pi\) |
−0.844685 | + | 0.535263i | \(0.820212\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −14.4465 | −0.461713 | ||||||||
\(980\) | 27.6757 | + | 7.57731i | 0.884067 | + | 0.242048i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 9.96622 | + | 2.67044i | 0.318035 | + | 0.0852172i | ||||
\(983\) | −0.300042 | − | 1.11977i | −0.00956985 | − | 0.0357152i | 0.960976 | − | 0.276632i | \(-0.0892184\pi\) |
−0.970546 | + | 0.240917i | \(0.922552\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 16.0225 | − | 10.4925i | 0.510519 | − | 0.334319i | ||||
\(986\) | − | 2.45898i | − | 0.0783098i | ||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 18.2525 | + | 18.2525i | 0.580688 | + | 0.580688i | ||||
\(989\) | 4.96242 | − | 2.86505i | 0.157796 | − | 0.0911034i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −6.38011 | + | 11.0507i | −0.202671 | + | 0.351036i | −0.949388 | − | 0.314105i | \(-0.898295\pi\) |
0.746717 | + | 0.665142i | \(0.231629\pi\) | |||||||
\(992\) | 1.37409 | − | 5.12816i | 0.0436273 | − | 0.162819i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.329562 | + | 10.6921i | −0.0104531 | + | 0.339134i | ||||
\(995\) | −16.7262 | + | 18.7198i | −0.530255 | + | 0.593457i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −3.01416 | + | 0.807643i | −0.0954595 | + | 0.0255783i | −0.306233 | − | 0.951957i | \(-0.599069\pi\) |
0.210773 | + | 0.977535i | \(0.432402\pi\) | |||||||
\(998\) | 1.23606 | − | 0.331203i | 0.0391269 | − | 0.0104840i | ||||
\(999\) | 0 | 0 |
(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 | 315.2.bz.d.73.5 | 32 | ||
3.2 | odd | 2 | 105.2.u.a.73.4 | yes | 32 | ||
5.2 | odd | 4 | inner | 315.2.bz.d.262.4 | 32 | ||
7.5 | odd | 6 | inner | 315.2.bz.d.208.4 | 32 | ||
15.2 | even | 4 | 105.2.u.a.52.5 | ✓ | 32 | ||
15.8 | even | 4 | 525.2.bc.e.157.4 | 32 | |||
15.14 | odd | 2 | 525.2.bc.e.493.5 | 32 | |||
21.2 | odd | 6 | 735.2.v.b.313.5 | 32 | |||
21.5 | even | 6 | 105.2.u.a.103.5 | yes | 32 | ||
21.11 | odd | 6 | 735.2.m.c.538.9 | 32 | |||
21.17 | even | 6 | 735.2.m.c.538.10 | 32 | |||
21.20 | even | 2 | 735.2.v.b.178.4 | 32 | |||
35.12 | even | 12 | inner | 315.2.bz.d.82.5 | 32 | ||
105.2 | even | 12 | 735.2.v.b.607.4 | 32 | |||
105.17 | odd | 12 | 735.2.m.c.97.9 | 32 | |||
105.32 | even | 12 | 735.2.m.c.97.10 | 32 | |||
105.47 | odd | 12 | 105.2.u.a.82.4 | yes | 32 | ||
105.62 | odd | 4 | 735.2.v.b.472.5 | 32 | |||
105.68 | odd | 12 | 525.2.bc.e.82.5 | 32 | |||
105.89 | even | 6 | 525.2.bc.e.418.4 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.2.u.a.52.5 | ✓ | 32 | 15.2 | even | 4 | ||
105.2.u.a.73.4 | yes | 32 | 3.2 | odd | 2 | ||
105.2.u.a.82.4 | yes | 32 | 105.47 | odd | 12 | ||
105.2.u.a.103.5 | yes | 32 | 21.5 | even | 6 | ||
315.2.bz.d.73.5 | 32 | 1.1 | even | 1 | trivial | ||
315.2.bz.d.82.5 | 32 | 35.12 | even | 12 | inner | ||
315.2.bz.d.208.4 | 32 | 7.5 | odd | 6 | inner | ||
315.2.bz.d.262.4 | 32 | 5.2 | odd | 4 | inner | ||
525.2.bc.e.82.5 | 32 | 105.68 | odd | 12 | |||
525.2.bc.e.157.4 | 32 | 15.8 | even | 4 | |||
525.2.bc.e.418.4 | 32 | 105.89 | even | 6 | |||
525.2.bc.e.493.5 | 32 | 15.14 | odd | 2 | |||
735.2.m.c.97.9 | 32 | 105.17 | odd | 12 | |||
735.2.m.c.97.10 | 32 | 105.32 | even | 12 | |||
735.2.m.c.538.9 | 32 | 21.11 | odd | 6 | |||
735.2.m.c.538.10 | 32 | 21.17 | even | 6 | |||
735.2.v.b.178.4 | 32 | 21.20 | even | 2 | |||
735.2.v.b.313.5 | 32 | 21.2 | odd | 6 | |||
735.2.v.b.472.5 | 32 | 105.62 | odd | 4 | |||
735.2.v.b.607.4 | 32 | 105.2 | even | 12 |