Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(76,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.by (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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 202.4 | ||
Character | \(\chi\) | \(=\) | 273.202 |
Dual form | 273.2.by.c.223.4 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{11}{12}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.11595 | + | 0.299019i | −0.789098 | + | 0.211438i | −0.630792 | − | 0.775952i | \(-0.717270\pi\) |
−0.158306 | + | 0.987390i | \(0.550603\pi\) | |||||||
\(3\) | −0.866025 | − | 0.500000i | −0.500000 | − | 0.288675i | ||||
\(4\) | −0.576113 | + | 0.332619i | −0.288056 | + | 0.166309i | ||||
\(5\) | −0.549341 | + | 0.549341i | −0.245673 | + | 0.245673i | −0.819192 | − | 0.573519i | \(-0.805578\pi\) |
0.573519 | + | 0.819192i | \(0.305578\pi\) | |||||||
\(6\) | 1.11595 | + | 0.299019i | 0.455586 | + | 0.122074i | ||||
\(7\) | 0.347225 | + | 2.62287i | 0.131239 | + | 0.991351i | ||||
\(8\) | 2.17732 | − | 2.17732i | 0.769800 | − | 0.769800i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | 0.448776 | − | 0.777302i | 0.141915 | − | 0.245805i | ||||
\(11\) | −0.824353 | − | 3.07653i | −0.248552 | − | 0.927608i | −0.971565 | − | 0.236774i | \(-0.923910\pi\) |
0.723013 | − | 0.690834i | \(-0.242757\pi\) | |||||||
\(12\) | 0.665238 | 0.192038 | ||||||||
\(13\) | −2.63686 | − | 2.45905i | −0.731335 | − | 0.682019i | ||||
\(14\) | −1.17177 | − | 2.82317i | −0.313170 | − | 0.754524i | ||||
\(15\) | 0.750414 | − | 0.201073i | 0.193756 | − | 0.0519168i | ||||
\(16\) | −1.11349 | + | 1.92862i | −0.278373 | + | 0.482156i | ||||
\(17\) | −1.74975 | − | 3.03065i | −0.424376 | − | 0.735041i | 0.571986 | − | 0.820263i | \(-0.306173\pi\) |
−0.996362 | + | 0.0852225i | \(0.972840\pi\) | |||||||
\(18\) | −0.816934 | − | 0.816934i | −0.192553 | − | 0.192553i | ||||
\(19\) | −6.06267 | − | 1.62449i | −1.39087 | − | 0.372683i | −0.515814 | − | 0.856701i | \(-0.672510\pi\) |
−0.875058 | + | 0.484017i | \(0.839177\pi\) | |||||||
\(20\) | 0.133761 | − | 0.499204i | 0.0299099 | − | 0.111625i | ||||
\(21\) | 1.01073 | − | 2.44508i | 0.220559 | − | 0.533561i | ||||
\(22\) | 1.83988 | + | 3.18676i | 0.392263 | + | 0.679420i | ||||
\(23\) | −4.89067 | − | 2.82363i | −1.01978 | − | 0.588768i | −0.105737 | − | 0.994394i | \(-0.533720\pi\) |
−0.914039 | + | 0.405626i | \(0.867053\pi\) | |||||||
\(24\) | −2.97428 | + | 0.796956i | −0.607122 | + | 0.162678i | ||||
\(25\) | 4.39645i | 0.879290i | ||||||||
\(26\) | 3.67792 | + | 1.95572i | 0.721299 | + | 0.383548i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −1.07246 | − | 1.39557i | −0.202675 | − | 0.263739i | ||||
\(29\) | 4.54654 | − | 7.87483i | 0.844271 | − | 1.46232i | −0.0419819 | − | 0.999118i | \(-0.513367\pi\) |
0.886253 | − | 0.463202i | \(-0.153299\pi\) | |||||||
\(30\) | −0.777302 | + | 0.448776i | −0.141915 | + | 0.0819349i | ||||
\(31\) | 0.888029 | − | 0.888029i | 0.159495 | − | 0.159495i | −0.622848 | − | 0.782343i | \(-0.714025\pi\) |
0.782343 | + | 0.622848i | \(0.214025\pi\) | |||||||
\(32\) | −0.928002 | + | 3.46335i | −0.164049 | + | 0.612239i | ||||
\(33\) | −0.824353 | + | 3.07653i | −0.143501 | + | 0.535555i | ||||
\(34\) | 2.85886 | + | 2.85886i | 0.490290 | + | 0.490290i | ||||
\(35\) | −1.63160 | − | 1.25010i | −0.275790 | − | 0.211306i | ||||
\(36\) | −0.576113 | − | 0.332619i | −0.0960188 | − | 0.0554365i | ||||
\(37\) | 0.151142 | + | 0.564068i | 0.0248475 | + | 0.0927322i | 0.977236 | − | 0.212155i | \(-0.0680480\pi\) |
−0.952389 | + | 0.304887i | \(0.901381\pi\) | |||||||
\(38\) | 7.25141 | 1.17633 | ||||||||
\(39\) | 1.05406 | + | 3.44804i | 0.168785 | + | 0.552128i | ||||
\(40\) | 2.39219i | 0.378238i | ||||||||
\(41\) | −0.704976 | − | 2.63101i | −0.110099 | − | 0.410894i | 0.888775 | − | 0.458344i | \(-0.151557\pi\) |
−0.998874 | + | 0.0474499i | \(0.984891\pi\) | |||||||
\(42\) | −0.396799 | + | 3.03082i | −0.0612275 | + | 0.467666i | ||||
\(43\) | 6.60921 | − | 3.81583i | 1.00790 | − | 0.581909i | 0.0973205 | − | 0.995253i | \(-0.468973\pi\) |
0.910575 | + | 0.413344i | \(0.135639\pi\) | |||||||
\(44\) | 1.49823 | + | 1.49823i | 0.225867 | + | 0.225867i | ||||
\(45\) | −0.750414 | − | 0.201073i | −0.111865 | − | 0.0299742i | ||||
\(46\) | 6.30208 | + | 1.68864i | 0.929191 | + | 0.248976i | ||||
\(47\) | −0.267009 | − | 0.267009i | −0.0389472 | − | 0.0389472i | 0.687365 | − | 0.726312i | \(-0.258767\pi\) |
−0.726312 | + | 0.687365i | \(0.758767\pi\) | |||||||
\(48\) | 1.92862 | − | 1.11349i | 0.278373 | − | 0.160719i | ||||
\(49\) | −6.75887 | + | 1.82145i | −0.965553 | + | 0.260207i | ||||
\(50\) | −1.31462 | − | 4.90623i | −0.185915 | − | 0.693845i | ||||
\(51\) | 3.49950i | 0.490027i | ||||||||
\(52\) | 2.33706 | + | 0.539622i | 0.324092 | + | 0.0748321i | ||||
\(53\) | −11.6025 | −1.59372 | −0.796862 | − | 0.604161i | \(-0.793508\pi\) | ||||
−0.796862 | + | 0.604161i | \(0.793508\pi\) | |||||||
\(54\) | 0.299019 | + | 1.11595i | 0.0406913 | + | 0.151862i | ||||
\(55\) | 2.14292 | + | 1.23721i | 0.288951 | + | 0.166826i | ||||
\(56\) | 6.46685 | + | 4.95481i | 0.864169 | + | 0.662114i | ||||
\(57\) | 4.43818 | + | 4.43818i | 0.587852 | + | 0.587852i | ||||
\(58\) | −2.71900 | + | 10.1474i | −0.357022 | + | 1.33242i | ||||
\(59\) | −0.635122 | + | 2.37031i | −0.0826858 | + | 0.308588i | −0.994866 | − | 0.101202i | \(-0.967731\pi\) |
0.912180 | + | 0.409790i | \(0.134398\pi\) | |||||||
\(60\) | −0.365443 | + | 0.365443i | −0.0471784 | + | 0.0471784i | ||||
\(61\) | 6.70242 | − | 3.86964i | 0.858157 | − | 0.495457i | −0.00523788 | − | 0.999986i | \(-0.501667\pi\) |
0.863395 | + | 0.504529i | \(0.168334\pi\) | |||||||
\(62\) | −0.725461 | + | 1.25654i | −0.0921337 | + | 0.159580i | ||||
\(63\) | −2.09786 | + | 1.61214i | −0.264305 | + | 0.203110i | ||||
\(64\) | − | 8.59639i | − | 1.07455i | ||||||
\(65\) | 2.79940 | − | 0.0976783i | 0.347223 | − | 0.0121155i | ||||
\(66\) | − | 3.67976i | − | 0.452947i | ||||||
\(67\) | −6.90457 | + | 1.85007i | −0.843528 | + | 0.226023i | −0.654607 | − | 0.755970i | \(-0.727166\pi\) |
−0.188921 | + | 0.981992i | \(0.560499\pi\) | |||||||
\(68\) | 2.01610 | + | 1.16400i | 0.244488 | + | 0.141155i | ||||
\(69\) | 2.82363 | + | 4.89067i | 0.339925 | + | 0.588768i | ||||
\(70\) | 2.19459 | + | 0.907181i | 0.262303 | + | 0.108429i | ||||
\(71\) | −2.51079 | + | 9.37039i | −0.297976 | + | 1.11206i | 0.640849 | + | 0.767667i | \(0.278582\pi\) |
−0.938825 | + | 0.344394i | \(0.888084\pi\) | |||||||
\(72\) | 2.97428 | + | 0.796956i | 0.350522 | + | 0.0939221i | ||||
\(73\) | 7.71628 | + | 7.71628i | 0.903122 | + | 0.903122i | 0.995705 | − | 0.0925826i | \(-0.0295122\pi\) |
−0.0925826 | + | 0.995705i | \(0.529512\pi\) | |||||||
\(74\) | −0.337334 | − | 0.584279i | −0.0392142 | − | 0.0679210i | ||||
\(75\) | 2.19822 | − | 3.80744i | 0.253829 | − | 0.439645i | ||||
\(76\) | 4.03312 | − | 1.08067i | 0.462630 | − | 0.123961i | ||||
\(77\) | 7.78309 | − | 3.23042i | 0.886965 | − | 0.368140i | ||||
\(78\) | −2.20731 | − | 3.53266i | −0.249929 | − | 0.399995i | ||||
\(79\) | −10.8188 | −1.21721 | −0.608607 | − | 0.793472i | \(-0.708271\pi\) | ||||
−0.608607 | + | 0.793472i | \(0.708271\pi\) | |||||||
\(80\) | −0.447786 | − | 1.67116i | −0.0500640 | − | 0.186841i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 1.57344 | + | 2.72528i | 0.173757 | + | 0.300956i | ||||
\(83\) | −10.3355 | + | 10.3355i | −1.13447 | + | 1.13447i | −0.145040 | + | 0.989426i | \(0.546331\pi\) |
−0.989426 | + | 0.145040i | \(0.953669\pi\) | |||||||
\(84\) | 0.230987 | + | 1.74483i | 0.0252028 | + | 0.190377i | ||||
\(85\) | 2.62607 | + | 0.703654i | 0.284837 | + | 0.0763220i | ||||
\(86\) | −6.23456 | + | 6.23456i | −0.672290 | + | 0.672290i | ||||
\(87\) | −7.87483 | + | 4.54654i | −0.844271 | + | 0.487440i | ||||
\(88\) | −8.49348 | − | 4.90371i | −0.905408 | − | 0.522737i | ||||
\(89\) | 7.02589 | − | 1.88258i | 0.744743 | − | 0.199553i | 0.133558 | − | 0.991041i | \(-0.457360\pi\) |
0.611185 | + | 0.791488i | \(0.290693\pi\) | |||||||
\(90\) | 0.897552 | 0.0946102 | ||||||||
\(91\) | 5.53419 | − | 7.76999i | 0.580141 | − | 0.814516i | ||||
\(92\) | 3.75677 | 0.391670 | ||||||||
\(93\) | −1.21307 | + | 0.325041i | −0.125790 | + | 0.0337052i | ||||
\(94\) | 0.377810 | + | 0.218129i | 0.0389681 | + | 0.0224983i | ||||
\(95\) | 4.22288 | − | 2.43808i | 0.433258 | − | 0.250142i | ||||
\(96\) | 2.53535 | − | 2.53535i | 0.258763 | − | 0.258763i | ||||
\(97\) | 0.704543 | + | 0.188782i | 0.0715355 | + | 0.0191679i | 0.294409 | − | 0.955679i | \(-0.404877\pi\) |
−0.222874 | + | 0.974847i | \(0.571544\pi\) | |||||||
\(98\) | 6.99793 | − | 4.05368i | 0.706898 | − | 0.409484i | ||||
\(99\) | 2.25217 | − | 2.25217i | 0.226352 | − | 0.226352i | ||||
\(100\) | −1.46234 | − | 2.53285i | −0.146234 | − | 0.253285i | ||||
\(101\) | 5.71320 | − | 9.89554i | 0.568484 | − | 0.984643i | −0.428232 | − | 0.903669i | \(-0.640863\pi\) |
0.996716 | − | 0.0809746i | \(-0.0258033\pi\) | |||||||
\(102\) | −1.04641 | − | 3.90527i | −0.103610 | − | 0.386679i | ||||
\(103\) | −19.3170 | −1.90336 | −0.951679 | − | 0.307094i | \(-0.900643\pi\) | ||||
−0.951679 | + | 0.307094i | \(0.900643\pi\) | |||||||
\(104\) | −11.0955 | + | 0.387150i | −1.08800 | + | 0.0379631i | ||||
\(105\) | 0.787950 | + | 1.89842i | 0.0768961 | + | 0.185267i | ||||
\(106\) | 12.9478 | − | 3.46936i | 1.25760 | − | 0.336974i | ||||
\(107\) | −4.59094 | + | 7.95175i | −0.443823 | + | 0.768724i | −0.997969 | − | 0.0636951i | \(-0.979711\pi\) |
0.554146 | + | 0.832419i | \(0.313045\pi\) | |||||||
\(108\) | 0.332619 | + | 0.576113i | 0.0320063 | + | 0.0554365i | ||||
\(109\) | 1.79167 | + | 1.79167i | 0.171610 | + | 0.171610i | 0.787687 | − | 0.616076i | \(-0.211279\pi\) |
−0.616076 | + | 0.787687i | \(0.711279\pi\) | |||||||
\(110\) | −2.76134 | − | 0.739899i | −0.263284 | − | 0.0705466i | ||||
\(111\) | 0.151142 | − | 0.564068i | 0.0143457 | − | 0.0535390i | ||||
\(112\) | −5.44516 | − | 2.25088i | −0.514519 | − | 0.212688i | ||||
\(113\) | 1.25451 | + | 2.17288i | 0.118015 | + | 0.204407i | 0.918981 | − | 0.394302i | \(-0.129014\pi\) |
−0.800966 | + | 0.598710i | \(0.795680\pi\) | |||||||
\(114\) | −6.27990 | − | 3.62570i | −0.588167 | − | 0.339578i | ||||
\(115\) | 4.23779 | − | 1.13551i | 0.395176 | − | 0.105887i | ||||
\(116\) | 6.04906i | 0.561641i | ||||||||
\(117\) | 0.811171 | − | 3.51312i | 0.0749928 | − | 0.324788i | ||||
\(118\) | − | 2.83506i | − | 0.260989i | ||||||
\(119\) | 7.34144 | − | 5.64167i | 0.672989 | − | 0.517171i | ||||
\(120\) | 1.19609 | − | 2.07170i | 0.109188 | − | 0.189119i | ||||
\(121\) | 0.740817 | − | 0.427711i | 0.0673470 | − | 0.0388828i | ||||
\(122\) | −6.32249 | + | 6.32249i | −0.572411 | + | 0.572411i | ||||
\(123\) | −0.704976 | + | 2.63101i | −0.0635655 | + | 0.237230i | ||||
\(124\) | −0.216230 | + | 0.806980i | −0.0194180 | + | 0.0724689i | ||||
\(125\) | −5.16186 | − | 5.16186i | −0.461691 | − | 0.461691i | ||||
\(126\) | 1.85905 | − | 2.42637i | 0.165617 | − | 0.216158i | ||||
\(127\) | −14.6248 | − | 8.44360i | −1.29774 | − | 0.749249i | −0.317724 | − | 0.948183i | \(-0.602919\pi\) |
−0.980013 | + | 0.198934i | \(0.936252\pi\) | |||||||
\(128\) | 0.714478 | + | 2.66647i | 0.0631515 | + | 0.235685i | ||||
\(129\) | −7.63166 | −0.671930 | ||||||||
\(130\) | −3.09479 | + | 0.946077i | −0.271431 | + | 0.0829764i | ||||
\(131\) | − | 9.18546i | − | 0.802537i | −0.915960 | − | 0.401269i | \(-0.868569\pi\) | ||
0.915960 | − | 0.401269i | \(-0.131431\pi\) | |||||||
\(132\) | −0.548391 | − | 2.04662i | −0.0477313 | − | 0.178136i | ||||
\(133\) | 2.15571 | − | 16.4657i | 0.186923 | − | 1.42775i | ||||
\(134\) | 7.15197 | − | 4.12919i | 0.617836 | − | 0.356708i | ||||
\(135\) | 0.549341 | + | 0.549341i | 0.0472798 | + | 0.0472798i | ||||
\(136\) | −10.4085 | − | 2.78894i | −0.892519 | − | 0.239150i | ||||
\(137\) | 6.08217 | + | 1.62971i | 0.519635 | + | 0.139236i | 0.509098 | − | 0.860709i | \(-0.329979\pi\) |
0.0105372 | + | 0.999944i | \(0.496646\pi\) | |||||||
\(138\) | −4.61344 | − | 4.61344i | −0.392722 | − | 0.392722i | ||||
\(139\) | 16.6243 | − | 9.59802i | 1.41005 | − | 0.814093i | 0.414658 | − | 0.909977i | \(-0.363901\pi\) |
0.995393 | + | 0.0958840i | \(0.0305678\pi\) | |||||||
\(140\) | 1.35579 | + | 0.177502i | 0.114585 | + | 0.0150017i | ||||
\(141\) | 0.0977320 | + | 0.364741i | 0.00823052 | + | 0.0307167i | ||||
\(142\) | − | 11.2077i | − | 0.940528i | ||||||
\(143\) | −5.39164 | + | 10.1395i | −0.450872 | + | 0.847909i | ||||
\(144\) | −2.22698 | −0.185582 | ||||||||
\(145\) | 1.82837 | + | 6.82358i | 0.151838 | + | 0.566667i | ||||
\(146\) | −10.9183 | − | 6.30369i | −0.903606 | − | 0.521697i | ||||
\(147\) | 6.76408 | + | 1.80201i | 0.557892 | + | 0.148627i | ||||
\(148\) | −0.274694 | − | 0.274694i | −0.0225797 | − | 0.0225797i | ||||
\(149\) | −2.99088 | + | 11.1621i | −0.245022 | + | 0.914435i | 0.728350 | + | 0.685205i | \(0.240287\pi\) |
−0.973372 | + | 0.229230i | \(0.926379\pi\) | |||||||
\(150\) | −1.31462 | + | 4.90623i | −0.107338 | + | 0.400592i | ||||
\(151\) | 8.90574 | − | 8.90574i | 0.724738 | − | 0.724738i | −0.244828 | − | 0.969567i | \(-0.578732\pi\) |
0.969567 | + | 0.244828i | \(0.0787315\pi\) | |||||||
\(152\) | −16.7374 | + | 9.66336i | −1.35759 | + | 0.783802i | ||||
\(153\) | 1.74975 | − | 3.03065i | 0.141459 | − | 0.245014i | ||||
\(154\) | −7.71960 | + | 5.93228i | −0.622063 | + | 0.478037i | ||||
\(155\) | 0.975662i | 0.0783671i | ||||||||
\(156\) | −1.75414 | − | 1.63586i | −0.140444 | − | 0.130973i | ||||
\(157\) | − | 5.49387i | − | 0.438459i | −0.975673 | − | 0.219229i | \(-0.929646\pi\) | ||
0.975673 | − | 0.219229i | \(-0.0703543\pi\) | |||||||
\(158\) | 12.0733 | − | 3.23503i | 0.960501 | − | 0.257365i | ||||
\(159\) | 10.0480 | + | 5.80124i | 0.796862 | + | 0.460068i | ||||
\(160\) | −1.39277 | − | 2.41235i | −0.110108 | − | 0.190713i | ||||
\(161\) | 5.70785 | − | 13.8080i | 0.449841 | − | 1.08822i | ||||
\(162\) | 0.299019 | − | 1.11595i | 0.0234931 | − | 0.0876775i | ||||
\(163\) | 10.2964 | + | 2.75892i | 0.806480 | + | 0.216096i | 0.638427 | − | 0.769682i | \(-0.279585\pi\) |
0.168053 | + | 0.985778i | \(0.446252\pi\) | |||||||
\(164\) | 1.28127 | + | 1.28127i | 0.100050 | + | 0.100050i | ||||
\(165\) | −1.23721 | − | 2.14292i | −0.0963169 | − | 0.166826i | ||||
\(166\) | 8.44340 | − | 14.6244i | 0.655335 | − | 1.13507i | ||||
\(167\) | −12.5089 | + | 3.35175i | −0.967967 | + | 0.259366i | −0.707969 | − | 0.706243i | \(-0.750389\pi\) |
−0.259998 | + | 0.965609i | \(0.583722\pi\) | |||||||
\(168\) | −3.12305 | − | 7.52442i | −0.240949 | − | 0.580521i | ||||
\(169\) | 0.906105 | + | 12.9684i | 0.0697004 | + | 0.997568i | ||||
\(170\) | −3.14098 | −0.240902 | ||||||||
\(171\) | −1.62449 | − | 6.06267i | −0.124228 | − | 0.463624i | ||||
\(172\) | −2.53843 | + | 4.39670i | −0.193554 | + | 0.335245i | ||||
\(173\) | −0.498608 | − | 0.863615i | −0.0379085 | − | 0.0656594i | 0.846449 | − | 0.532470i | \(-0.178736\pi\) |
−0.884357 | + | 0.466811i | \(0.845403\pi\) | |||||||
\(174\) | 7.42844 | − | 7.42844i | 0.563149 | − | 0.563149i | ||||
\(175\) | −11.5313 | + | 1.52656i | −0.871684 | + | 0.115397i | ||||
\(176\) | 6.85138 | + | 1.83582i | 0.516442 | + | 0.138380i | ||||
\(177\) | 1.73518 | − | 1.73518i | 0.130424 | − | 0.130424i | ||||
\(178\) | −7.27763 | + | 4.20174i | −0.545482 | + | 0.314934i | ||||
\(179\) | −4.88304 | − | 2.81922i | −0.364975 | − | 0.210719i | 0.306286 | − | 0.951940i | \(-0.400914\pi\) |
−0.671261 | + | 0.741221i | \(0.734247\pi\) | |||||||
\(180\) | 0.499204 | − | 0.133761i | 0.0372085 | − | 0.00996998i | ||||
\(181\) | 21.5094 | 1.59878 | 0.799390 | − | 0.600813i | \(-0.205156\pi\) | ||||
0.799390 | + | 0.600813i | \(0.205156\pi\) | |||||||
\(182\) | −3.85252 | + | 10.3258i | −0.285568 | + | 0.765397i | ||||
\(183\) | −7.73929 | −0.572104 | ||||||||
\(184\) | −16.7965 | + | 4.50062i | −1.23826 | + | 0.331790i | ||||
\(185\) | −0.392894 | − | 0.226838i | −0.0288862 | − | 0.0166774i | ||||
\(186\) | 1.25654 | − | 0.725461i | 0.0921337 | − | 0.0531934i | ||||
\(187\) | −7.88147 | + | 7.88147i | −0.576350 | + | 0.576350i | ||||
\(188\) | 0.242639 | + | 0.0650150i | 0.0176963 | + | 0.00474171i | ||||
\(189\) | 2.62287 | − | 0.347225i | 0.190786 | − | 0.0252569i | ||||
\(190\) | −3.98350 | + | 3.98350i | −0.288993 | + | 0.288993i | ||||
\(191\) | −4.39198 | − | 7.60714i | −0.317793 | − | 0.550433i | 0.662234 | − | 0.749297i | \(-0.269608\pi\) |
−0.980027 | + | 0.198863i | \(0.936275\pi\) | |||||||
\(192\) | −4.29820 | + | 7.44469i | −0.310196 | + | 0.537274i | ||||
\(193\) | 0.249296 | + | 0.930384i | 0.0179447 | + | 0.0669705i | 0.974318 | − | 0.225178i | \(-0.0722964\pi\) |
−0.956373 | + | 0.292149i | \(0.905630\pi\) | |||||||
\(194\) | −0.842685 | −0.0605013 | ||||||||
\(195\) | −2.47319 | − | 1.31511i | −0.177109 | − | 0.0941768i | ||||
\(196\) | 3.28802 | − | 3.29749i | 0.234859 | − | 0.235535i | ||||
\(197\) | −16.6329 | + | 4.45678i | −1.18505 | + | 0.317532i | −0.796926 | − | 0.604076i | \(-0.793542\pi\) |
−0.388120 | + | 0.921609i | \(0.626876\pi\) | |||||||
\(198\) | −1.83988 | + | 3.18676i | −0.130754 | + | 0.226473i | ||||
\(199\) | 1.12555 | + | 1.94951i | 0.0797883 | + | 0.138197i | 0.903159 | − | 0.429307i | \(-0.141242\pi\) |
−0.823370 | + | 0.567505i | \(0.807909\pi\) | |||||||
\(200\) | 9.57249 | + | 9.57249i | 0.676877 | + | 0.676877i | ||||
\(201\) | 6.90457 | + | 1.85007i | 0.487011 | + | 0.130494i | ||||
\(202\) | −3.41670 | + | 12.7513i | −0.240398 | + | 0.897179i | ||||
\(203\) | 22.2333 | + | 9.19063i | 1.56047 | + | 0.645056i | ||||
\(204\) | −1.16400 | − | 2.01610i | −0.0814961 | − | 0.141155i | ||||
\(205\) | 1.83259 | + | 1.05805i | 0.127994 | + | 0.0738973i | ||||
\(206\) | 21.5568 | − | 5.77613i | 1.50194 | − | 0.402442i | ||||
\(207\) | − | 5.64726i | − | 0.392512i | ||||||
\(208\) | 7.67872 | − | 2.34738i | 0.532423 | − | 0.162762i | ||||
\(209\) | 19.9911i | 1.38282i | ||||||||
\(210\) | −1.44698 | − | 1.88294i | −0.0998510 | − | 0.129935i | ||||
\(211\) | −10.3549 | + | 17.9352i | −0.712859 | + | 1.23471i | 0.250921 | + | 0.968008i | \(0.419267\pi\) |
−0.963780 | + | 0.266700i | \(0.914067\pi\) | |||||||
\(212\) | 6.68434 | − | 3.85920i | 0.459082 | − | 0.265051i | ||||
\(213\) | 6.85960 | − | 6.85960i | 0.470012 | − | 0.470012i | ||||
\(214\) | 2.74555 | − | 10.2465i | 0.187682 | − | 0.700440i | ||||
\(215\) | −1.53452 | + | 5.72691i | −0.104653 | + | 0.390572i | ||||
\(216\) | −2.17732 | − | 2.17732i | −0.148148 | − | 0.148148i | ||||
\(217\) | 2.63753 | + | 2.02084i | 0.179047 | + | 0.137183i | ||||
\(218\) | −2.53516 | − | 1.46367i | −0.171702 | − | 0.0991325i | ||||
\(219\) | −2.82435 | − | 10.5406i | −0.190852 | − | 0.712270i | ||||
\(220\) | −1.64608 | −0.110979 | ||||||||
\(221\) | −2.83869 | + | 12.2941i | −0.190951 | + | 0.826993i | ||||
\(222\) | 0.674667i | 0.0452807i | ||||||||
\(223\) | 5.92307 | + | 22.1052i | 0.396638 | + | 1.48027i | 0.818972 | + | 0.573834i | \(0.194545\pi\) |
−0.422333 | + | 0.906441i | \(0.638789\pi\) | |||||||
\(224\) | −9.40613 | − | 1.23146i | −0.628474 | − | 0.0822806i | ||||
\(225\) | −3.80744 | + | 2.19822i | −0.253829 | + | 0.146548i | ||||
\(226\) | −2.04971 | − | 2.04971i | −0.136345 | − | 0.136345i | ||||
\(227\) | 15.1087 | + | 4.04837i | 1.00280 | + | 0.268699i | 0.722618 | − | 0.691248i | \(-0.242939\pi\) |
0.280182 | + | 0.959947i | \(0.409605\pi\) | |||||||
\(228\) | −4.03312 | − | 1.08067i | −0.267100 | − | 0.0715692i | ||||
\(229\) | −3.61172 | − | 3.61172i | −0.238669 | − | 0.238669i | 0.577630 | − | 0.816299i | \(-0.303978\pi\) |
−0.816299 | + | 0.577630i | \(0.803978\pi\) | |||||||
\(230\) | −4.38963 | + | 2.53435i | −0.289444 | + | 0.167110i | ||||
\(231\) | −8.35556 | − | 1.09392i | −0.549755 | − | 0.0719747i | ||||
\(232\) | −7.24678 | − | 27.0453i | −0.475774 | − | 1.77561i | ||||
\(233\) | 3.18656i | 0.208758i | 0.994538 | + | 0.104379i | \(0.0332855\pi\) | ||||
−0.994538 | + | 0.104379i | \(0.966714\pi\) | |||||||
\(234\) | 0.145259 | + | 4.16303i | 0.00949587 | + | 0.272146i | ||||
\(235\) | 0.293358 | 0.0191366 | ||||||||
\(236\) | −0.422507 | − | 1.57682i | −0.0275029 | − | 0.102642i | ||||
\(237\) | 9.36939 | + | 5.40942i | 0.608607 | + | 0.351379i | ||||
\(238\) | −6.50574 | + | 8.49107i | −0.421704 | + | 0.550394i | ||||
\(239\) | −1.61918 | − | 1.61918i | −0.104736 | − | 0.104736i | 0.652797 | − | 0.757533i | \(-0.273596\pi\) |
−0.757533 | + | 0.652797i | \(0.773596\pi\) | |||||||
\(240\) | −0.447786 | + | 1.67116i | −0.0289045 | + | 0.107873i | ||||
\(241\) | 1.64242 | − | 6.12960i | 0.105798 | − | 0.394842i | −0.892637 | − | 0.450777i | \(-0.851147\pi\) |
0.998434 | + | 0.0559344i | \(0.0178138\pi\) | |||||||
\(242\) | −0.698823 | + | 0.698823i | −0.0449221 | + | 0.0449221i | ||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | −2.57423 | + | 4.45870i | −0.164798 | + | 0.285439i | ||||
\(245\) | 2.71233 | − | 4.71353i | 0.173284 | − | 0.301136i | ||||
\(246\) | − | 3.14688i | − | 0.200638i | ||||||
\(247\) | 11.9917 | + | 19.1920i | 0.763016 | + | 1.22116i | ||||
\(248\) | − | 3.86705i | − | 0.245558i | ||||||
\(249\) | 14.1185 | − | 3.78305i | 0.894725 | − | 0.239741i | ||||
\(250\) | 7.30388 | + | 4.21690i | 0.461938 | + | 0.266700i | ||||
\(251\) | −10.7306 | − | 18.5859i | −0.677308 | − | 1.17313i | −0.975789 | − | 0.218716i | \(-0.929813\pi\) |
0.298481 | − | 0.954416i | \(-0.403520\pi\) | |||||||
\(252\) | 0.672374 | − | 1.62656i | 0.0423556 | − | 0.102464i | ||||
\(253\) | −4.65534 | + | 17.3740i | −0.292679 | + | 1.09229i | ||||
\(254\) | 18.8453 | + | 5.04959i | 1.18246 | + | 0.316839i | ||||
\(255\) | −1.92242 | − | 1.92242i | −0.120386 | − | 0.120386i | ||||
\(256\) | 7.00174 | + | 12.1274i | 0.437609 | + | 0.757961i | ||||
\(257\) | 14.1914 | − | 24.5801i | 0.885232 | − | 1.53327i | 0.0397853 | − | 0.999208i | \(-0.487333\pi\) |
0.845447 | − | 0.534059i | \(-0.179334\pi\) | |||||||
\(258\) | 8.51657 | − | 2.28201i | 0.530219 | − | 0.142072i | ||||
\(259\) | −1.42700 | + | 0.592283i | −0.0886692 | + | 0.0368027i | ||||
\(260\) | −1.58028 | + | 0.987406i | −0.0980048 | + | 0.0612364i | ||||
\(261\) | 9.09308 | 0.562847 | ||||||||
\(262\) | 2.74662 | + | 10.2505i | 0.169687 | + | 0.633280i | ||||
\(263\) | 6.33755 | − | 10.9770i | 0.390790 | − | 0.676868i | −0.601764 | − | 0.798674i | \(-0.705535\pi\) |
0.992554 | + | 0.121806i | \(0.0388686\pi\) | |||||||
\(264\) | 4.90371 | + | 8.49348i | 0.301803 | + | 0.522737i | ||||
\(265\) | 6.37373 | − | 6.37373i | 0.391535 | − | 0.391535i | ||||
\(266\) | 2.51787 | + | 19.0195i | 0.154381 | + | 1.16616i | ||||
\(267\) | −7.02589 | − | 1.88258i | −0.429977 | − | 0.115212i | ||||
\(268\) | 3.36244 | − | 3.36244i | 0.205394 | − | 0.205394i | ||||
\(269\) | −5.62758 | + | 3.24908i | −0.343120 | + | 0.198100i | −0.661651 | − | 0.749812i | \(-0.730144\pi\) |
0.318531 | + | 0.947912i | \(0.396810\pi\) | |||||||
\(270\) | −0.777302 | − | 0.448776i | −0.0473051 | − | 0.0273116i | ||||
\(271\) | 6.14616 | − | 1.64686i | 0.373353 | − | 0.100040i | −0.0672633 | − | 0.997735i | \(-0.521427\pi\) |
0.440616 | + | 0.897696i | \(0.354760\pi\) | |||||||
\(272\) | 7.79332 | 0.472539 | ||||||||
\(273\) | −8.67774 | + | 3.96192i | −0.525201 | + | 0.239786i | ||||
\(274\) | −7.27473 | −0.439482 | ||||||||
\(275\) | 13.5258 | − | 3.62423i | 0.815636 | − | 0.218549i | ||||
\(276\) | −3.25346 | − | 1.87839i | −0.195835 | − | 0.113066i | ||||
\(277\) | 15.6622 | − | 9.04260i | 0.941053 | − | 0.543317i | 0.0507626 | − | 0.998711i | \(-0.483835\pi\) |
0.890290 | + | 0.455394i | \(0.150501\pi\) | |||||||
\(278\) | −15.6819 | + | 15.6819i | −0.940538 | + | 0.940538i | ||||
\(279\) | 1.21307 | + | 0.325041i | 0.0726246 | + | 0.0194597i | ||||
\(280\) | −6.27439 | + | 0.830628i | −0.374967 | + | 0.0496395i | ||||
\(281\) | −6.43538 | + | 6.43538i | −0.383903 | + | 0.383903i | −0.872506 | − | 0.488603i | \(-0.837507\pi\) |
0.488603 | + | 0.872506i | \(0.337507\pi\) | |||||||
\(282\) | −0.218129 | − | 0.377810i | −0.0129894 | − | 0.0224983i | ||||
\(283\) | −7.33715 | + | 12.7083i | −0.436148 | + | 0.755431i | −0.997389 | − | 0.0722219i | \(-0.976991\pi\) |
0.561240 | + | 0.827653i | \(0.310324\pi\) | |||||||
\(284\) | −1.67027 | − | 6.23354i | −0.0991124 | − | 0.369892i | ||||
\(285\) | −4.87616 | −0.288839 | ||||||||
\(286\) | 2.98491 | − | 12.9274i | 0.176502 | − | 0.764414i | ||||
\(287\) | 6.65599 | − | 2.76261i | 0.392891 | − | 0.163072i | ||||
\(288\) | −3.46335 | + | 0.928002i | −0.204080 | + | 0.0546830i | ||||
\(289\) | 2.37677 | − | 4.11668i | 0.139810 | − | 0.242158i | ||||
\(290\) | −4.08075 | − | 7.06807i | −0.239630 | − | 0.415051i | ||||
\(291\) | −0.515761 | − | 0.515761i | −0.0302344 | − | 0.0302344i | ||||
\(292\) | −7.01203 | − | 1.87887i | −0.410348 | − | 0.109952i | ||||
\(293\) | −1.69762 | + | 6.33562i | −0.0991763 | + | 0.370131i | −0.997620 | − | 0.0689587i | \(-0.978032\pi\) |
0.898443 | + | 0.439090i | \(0.144699\pi\) | |||||||
\(294\) | −8.08723 | + | 0.0116252i | −0.471657 | + | 0.000677996i | ||||
\(295\) | −0.953209 | − | 1.65101i | −0.0554980 | − | 0.0961253i | ||||
\(296\) | 1.55724 | + | 0.899074i | 0.0905129 | + | 0.0522576i | ||||
\(297\) | −3.07653 | + | 0.824353i | −0.178518 | + | 0.0478338i | ||||
\(298\) | − | 13.3507i | − | 0.773385i | ||||||
\(299\) | 5.95258 | + | 19.4720i | 0.344246 | + | 1.12609i | ||||
\(300\) | 2.92468i | 0.168857i | ||||||||
\(301\) | 12.3033 | + | 16.0101i | 0.709150 | + | 0.922809i | ||||
\(302\) | −7.27540 | + | 12.6014i | −0.418652 | + | 0.725127i | ||||
\(303\) | −9.89554 | + | 5.71320i | −0.568484 | + | 0.328214i | ||||
\(304\) | 9.88377 | − | 9.88377i | 0.566873 | − | 0.566873i | ||||
\(305\) | −1.55616 | + | 5.80767i | −0.0891055 | + | 0.332546i | ||||
\(306\) | −1.04641 | + | 3.90527i | −0.0598195 | + | 0.223249i | ||||
\(307\) | −23.5768 | − | 23.5768i | −1.34560 | − | 1.34560i | −0.890377 | − | 0.455225i | \(-0.849559\pi\) |
−0.455225 | − | 0.890377i | \(-0.650441\pi\) | |||||||
\(308\) | −3.40944 | + | 4.44988i | −0.194271 | + | 0.253556i | ||||
\(309\) | 16.7290 | + | 9.65849i | 0.951679 | + | 0.549452i | ||||
\(310\) | −0.291741 | − | 1.08879i | −0.0165698 | − | 0.0618393i | ||||
\(311\) | 2.90579 | 0.164772 | 0.0823861 | − | 0.996600i | \(-0.473746\pi\) | ||||
0.0823861 | + | 0.996600i | \(0.473746\pi\) | |||||||
\(312\) | 9.80253 | + | 5.21245i | 0.554959 | + | 0.295097i | ||||
\(313\) | − | 0.960626i | − | 0.0542978i | −0.999631 | − | 0.0271489i | \(-0.991357\pi\) | ||
0.999631 | − | 0.0271489i | \(-0.00864282\pi\) | |||||||
\(314\) | 1.64277 | + | 6.13090i | 0.0927069 | + | 0.345987i | ||||
\(315\) | 0.266825 | − | 2.03806i | 0.0150339 | − | 0.114831i | ||||
\(316\) | 6.23287 | − | 3.59855i | 0.350626 | − | 0.202434i | ||||
\(317\) | −23.7216 | − | 23.7216i | −1.33234 | − | 1.33234i | −0.903274 | − | 0.429064i | \(-0.858844\pi\) |
−0.429064 | − | 0.903274i | \(-0.641156\pi\) | |||||||
\(318\) | −12.9478 | − | 3.46936i | −0.726078 | − | 0.194552i | ||||
\(319\) | −27.9751 | − | 7.49590i | −1.56630 | − | 0.419690i | ||||
\(320\) | 4.72235 | + | 4.72235i | 0.263988 | + | 0.263988i | ||||
\(321\) | 7.95175 | − | 4.59094i | 0.443823 | − | 0.256241i | ||||
\(322\) | −2.24083 | + | 17.1158i | −0.124877 | + | 0.953829i | ||||
\(323\) | 5.68489 | + | 21.2163i | 0.316316 | + | 1.18051i | ||||
\(324\) | − | 0.665238i | − | 0.0369576i | ||||||
\(325\) | 10.8111 | − | 11.5928i | 0.599692 | − | 0.643055i | ||||
\(326\) | −12.3153 | −0.682082 | ||||||||
\(327\) | −0.655795 | − | 2.44746i | −0.0362656 | − | 0.135345i | ||||
\(328\) | −7.26351 | − | 4.19359i | −0.401060 | − | 0.231552i | ||||
\(329\) | 0.607617 | − | 0.793041i | 0.0334990 | − | 0.0437218i | ||||
\(330\) | 2.02144 | + | 2.02144i | 0.111277 | + | 0.111277i | ||||
\(331\) | 3.27417 | − | 12.2194i | 0.179965 | − | 0.671637i | −0.815688 | − | 0.578492i | \(-0.803641\pi\) |
0.995653 | − | 0.0931447i | \(-0.0296919\pi\) | |||||||
\(332\) | 2.51662 | − | 9.39217i | 0.138118 | − | 0.515462i | ||||
\(333\) | −0.412926 | + | 0.412926i | −0.0226282 | + | 0.0226282i | ||||
\(334\) | 12.9571 | − | 7.48078i | 0.708981 | − | 0.409330i | ||||
\(335\) | 2.77665 | − | 4.80929i | 0.151704 | − | 0.262760i | ||||
\(336\) | 3.59021 | + | 4.67189i | 0.195862 | + | 0.254873i | ||||
\(337\) | 12.8172i | 0.698196i | 0.937086 | + | 0.349098i | \(0.113512\pi\) | ||||
−0.937086 | + | 0.349098i | \(0.886488\pi\) | |||||||
\(338\) | −4.88896 | − | 14.2012i | −0.265924 | − | 0.772441i | ||||
\(339\) | − | 2.50903i | − | 0.136272i | ||||||
\(340\) | −1.74696 | + | 0.468097i | −0.0947423 | + | 0.0253861i | ||||
\(341\) | −3.46410 | − | 2.00000i | −0.187591 | − | 0.108306i | ||||
\(342\) | 3.62570 | + | 6.27990i | 0.196056 | + | 0.339578i | ||||
\(343\) | −7.12427 | − | 17.0952i | −0.384675 | − | 0.923052i | ||||
\(344\) | 6.08209 | − | 22.6987i | 0.327925 | − | 1.22383i | ||||
\(345\) | −4.23779 | − | 1.13551i | −0.228155 | − | 0.0611339i | ||||
\(346\) | 0.814660 | + | 0.814660i | 0.0437964 | + | 0.0437964i | ||||
\(347\) | −9.29372 | − | 16.0972i | −0.498913 | − | 0.864143i | 0.501086 | − | 0.865397i | \(-0.332934\pi\) |
−0.999999 | + | 0.00125445i | \(0.999601\pi\) | |||||||
\(348\) | 3.02453 | − | 5.23864i | 0.162132 | − | 0.280820i | ||||
\(349\) | 4.62637 | − | 1.23963i | 0.247644 | − | 0.0663560i | −0.132862 | − | 0.991135i | \(-0.542417\pi\) |
0.380506 | + | 0.924779i | \(0.375750\pi\) | |||||||
\(350\) | 12.4119 | − | 5.15164i | 0.663445 | − | 0.275367i | ||||
\(351\) | −2.45905 | + | 2.63686i | −0.131255 | + | 0.140745i | ||||
\(352\) | 11.4201 | 0.608693 | ||||||||
\(353\) | −3.19876 | − | 11.9379i | −0.170253 | − | 0.635392i | −0.997312 | − | 0.0732769i | \(-0.976654\pi\) |
0.827059 | − | 0.562116i | \(-0.190012\pi\) | |||||||
\(354\) | −1.41753 | + | 2.45524i | −0.0753410 | + | 0.130494i | ||||
\(355\) | −3.76826 | − | 6.52683i | −0.199999 | − | 0.346408i | ||||
\(356\) | −3.42152 | + | 3.42152i | −0.181340 | + | 0.181340i | ||||
\(357\) | −9.17871 | + | 1.21511i | −0.485789 | + | 0.0643106i | ||||
\(358\) | 6.29224 | + | 1.68600i | 0.332555 | + | 0.0891079i | ||||
\(359\) | 4.20137 | − | 4.20137i | 0.221740 | − | 0.221740i | −0.587491 | − | 0.809231i | \(-0.699884\pi\) |
0.809231 | + | 0.587491i | \(0.199884\pi\) | |||||||
\(360\) | −2.07170 | + | 1.19609i | −0.109188 | + | 0.0630397i | ||||
\(361\) | 17.6626 | + | 10.1975i | 0.929608 | + | 0.536710i | ||||
\(362\) | −24.0035 | + | 6.43171i | −1.26159 | + | 0.338043i | ||||
\(363\) | −0.855422 | −0.0448980 | ||||||||
\(364\) | −0.603871 | + | 6.31716i | −0.0316514 | + | 0.331109i | ||||
\(365\) | −8.47775 | −0.443746 | ||||||||
\(366\) | 8.63668 | − | 2.31419i | 0.451446 | − | 0.120965i | ||||
\(367\) | 5.05707 | + | 2.91970i | 0.263977 | + | 0.152407i | 0.626147 | − | 0.779705i | \(-0.284631\pi\) |
−0.362170 | + | 0.932112i | \(0.617964\pi\) | |||||||
\(368\) | 10.8914 | − | 6.28818i | 0.567756 | − | 0.327794i | ||||
\(369\) | 1.92603 | − | 1.92603i | 0.100265 | − | 0.100265i | ||||
\(370\) | 0.506280 | + | 0.135657i | 0.0263202 | + | 0.00705249i | ||||
\(371\) | −4.02867 | − | 30.4318i | −0.209158 | − | 1.57994i | ||||
\(372\) | 0.590750 | − | 0.590750i | 0.0306290 | − | 0.0306290i | ||||
\(373\) | −5.17801 | − | 8.96858i | −0.268107 | − | 0.464375i | 0.700266 | − | 0.713882i | \(-0.253065\pi\) |
−0.968373 | + | 0.249507i | \(0.919731\pi\) | |||||||
\(374\) | 6.43864 | − | 11.1521i | 0.332934 | − | 0.576659i | ||||
\(375\) | 1.88937 | + | 7.05123i | 0.0975667 | + | 0.364124i | ||||
\(376\) | −1.16273 | −0.0599632 | ||||||||
\(377\) | −31.3532 | + | 9.58469i | −1.61477 | + | 0.493636i | ||||
\(378\) | −2.82317 | + | 1.17177i | −0.145208 | + | 0.0602695i | ||||
\(379\) | 6.76845 | − | 1.81360i | 0.347672 | − | 0.0931584i | −0.0807572 | − | 0.996734i | \(-0.525734\pi\) |
0.428429 | + | 0.903575i | \(0.359067\pi\) | |||||||
\(380\) | −1.62190 | + | 2.80922i | −0.0832018 | + | 0.144110i | ||||
\(381\) | 8.44360 | + | 14.6248i | 0.432579 | + | 0.749249i | ||||
\(382\) | 7.17592 | + | 7.17592i | 0.367152 | + | 0.367152i | ||||
\(383\) | −7.14098 | − | 1.91342i | −0.364887 | − | 0.0977711i | 0.0717170 | − | 0.997425i | \(-0.477152\pi\) |
−0.436604 | + | 0.899654i | \(0.643819\pi\) | |||||||
\(384\) | 0.714478 | − | 2.66647i | 0.0364605 | − | 0.136073i | ||||
\(385\) | −2.50097 | + | 6.05017i | −0.127461 | + | 0.308345i | ||||
\(386\) | −0.556404 | − | 0.963720i | −0.0283202 | − | 0.0490521i | ||||
\(387\) | 6.60921 | + | 3.81583i | 0.335965 | + | 0.193970i | ||||
\(388\) | −0.468688 | + | 0.125585i | −0.0237940 | + | 0.00637559i | ||||
\(389\) | 10.2280i | 0.518581i | 0.965799 | + | 0.259290i | \(0.0834886\pi\) | ||||
−0.965799 | + | 0.259290i | \(0.916511\pi\) | |||||||
\(390\) | 3.15320 | + | 0.728068i | 0.159669 | + | 0.0368672i | ||||
\(391\) | 19.7626i | 0.999436i | ||||||||
\(392\) | −10.7504 | + | 18.6821i | −0.542975 | + | 0.943590i | ||||
\(393\) | −4.59273 | + | 7.95484i | −0.231673 | + | 0.401269i | ||||
\(394\) | 17.2289 | − | 9.94711i | 0.867979 | − | 0.501128i | ||||
\(395\) | 5.94323 | − | 5.94323i | 0.299037 | − | 0.299037i | ||||
\(396\) | −0.548391 | + | 2.04662i | −0.0275577 | + | 0.102847i | ||||
\(397\) | −7.30250 | + | 27.2533i | −0.366502 | + | 1.36780i | 0.498872 | + | 0.866676i | \(0.333748\pi\) |
−0.865373 | + | 0.501128i | \(0.832919\pi\) | |||||||
\(398\) | −1.83900 | − | 1.83900i | −0.0921810 | − | 0.0921810i | ||||
\(399\) | −10.0997 | + | 13.1818i | −0.505618 | + | 0.659916i | ||||
\(400\) | −8.47910 | − | 4.89541i | −0.423955 | − | 0.244770i | ||||
\(401\) | −1.82731 | − | 6.81960i | −0.0912514 | − | 0.340555i | 0.905173 | − | 0.425043i | \(-0.139741\pi\) |
−0.996424 | + | 0.0844884i | \(0.973074\pi\) | |||||||
\(402\) | −8.25838 | −0.411891 | ||||||||
\(403\) | −4.52532 | + | 0.157900i | −0.225422 | + | 0.00786558i | ||||
\(404\) | 7.60126i | 0.378177i | ||||||||
\(405\) | −0.201073 | − | 0.750414i | −0.00999139 | − | 0.0372884i | ||||
\(406\) | −27.5595 | − | 3.60813i | −1.36776 | − | 0.179068i | ||||
\(407\) | 1.61078 | − | 0.929982i | 0.0798432 | − | 0.0460975i | ||||
\(408\) | 7.61953 | + | 7.61953i | 0.377223 | + | 0.377223i | ||||
\(409\) | −30.3999 | − | 8.14562i | −1.50318 | − | 0.402775i | −0.589014 | − | 0.808123i | \(-0.700484\pi\) |
−0.914163 | + | 0.405348i | \(0.867150\pi\) | |||||||
\(410\) | −2.36146 | − | 0.632752i | −0.116624 | − | 0.0312494i | ||||
\(411\) | −4.45246 | − | 4.45246i | −0.219624 | − | 0.219624i | ||||
\(412\) | 11.1288 | − | 6.42519i | 0.548274 | − | 0.316546i | ||||
\(413\) | −6.43753 | − | 0.842810i | −0.316770 | − | 0.0414720i | ||||
\(414\) | 1.68864 | + | 6.30208i | 0.0829919 | + | 0.309730i | ||||
\(415\) | − | 11.3554i | − | 0.557415i | ||||||
\(416\) | 10.9636 | − | 6.85037i | 0.537534 | − | 0.335867i | ||||
\(417\) | −19.1960 | −0.940034 | ||||||||
\(418\) | −5.97772 | − | 22.3092i | −0.292380 | − | 1.09118i | ||||
\(419\) | −20.4187 | − | 11.7887i | −0.997519 | − | 0.575918i | −0.0900058 | − | 0.995941i | \(-0.528689\pi\) |
−0.907513 | + | 0.420023i | \(0.862022\pi\) | |||||||
\(420\) | −1.08540 | − | 0.831617i | −0.0529620 | − | 0.0405787i | ||||
\(421\) | 4.63273 | + | 4.63273i | 0.225785 | + | 0.225785i | 0.810929 | − | 0.585144i | \(-0.198962\pi\) |
−0.585144 | + | 0.810929i | \(0.698962\pi\) | |||||||
\(422\) | 6.19260 | − | 23.1111i | 0.301451 | − | 1.12503i | ||||
\(423\) | 0.0977320 | − | 0.364741i | 0.00475189 | − | 0.0177343i | ||||
\(424\) | −25.2624 | + | 25.2624i | −1.22685 | + | 1.22685i | ||||
\(425\) | 13.3241 | − | 7.69267i | 0.646314 | − | 0.373149i | ||||
\(426\) | −5.60384 | + | 9.70614i | −0.271507 | + | 0.470264i | ||||
\(427\) | 12.4768 | + | 16.2359i | 0.603795 | + | 0.785711i | ||||
\(428\) | − | 6.10813i | − | 0.295248i | ||||||
\(429\) | 9.73905 | − | 6.08526i | 0.470206 | − | 0.293799i | ||||
\(430\) | − | 6.84981i | − | 0.330327i | ||||||
\(431\) | 27.8082 | − | 7.45118i | 1.33947 | − | 0.358911i | 0.483234 | − | 0.875491i | \(-0.339462\pi\) |
0.856239 | + | 0.516580i | \(0.172795\pi\) | |||||||
\(432\) | 1.92862 | + | 1.11349i | 0.0927910 | + | 0.0535729i | ||||
\(433\) | 1.92063 | + | 3.32663i | 0.0922998 | + | 0.159868i | 0.908478 | − | 0.417932i | \(-0.137245\pi\) |
−0.816179 | + | 0.577800i | \(0.803912\pi\) | |||||||
\(434\) | −3.54763 | − | 1.46649i | −0.170291 | − | 0.0703937i | ||||
\(435\) | 1.82837 | − | 6.82358i | 0.0876637 | − | 0.327165i | ||||
\(436\) | −1.62814 | − | 0.436260i | −0.0779739 | − | 0.0208930i | ||||
\(437\) | 25.0636 | + | 25.0636i | 1.19895 | + | 1.19895i | ||||
\(438\) | 6.30369 | + | 10.9183i | 0.301202 | + | 0.521697i | ||||
\(439\) | −7.29107 | + | 12.6285i | −0.347984 | + | 0.602726i | −0.985891 | − | 0.167388i | \(-0.946467\pi\) |
0.637907 | + | 0.770113i | \(0.279800\pi\) | |||||||
\(440\) | 7.35963 | − | 1.97201i | 0.350857 | − | 0.0940118i | ||||
\(441\) | −4.95686 | − | 4.94263i | −0.236041 | − | 0.235363i | ||||
\(442\) | −0.508333 | − | 14.5685i | −0.0241789 | − | 0.692953i | ||||
\(443\) | 32.2060 | 1.53015 | 0.765076 | − | 0.643940i | \(-0.222701\pi\) | ||||
0.765076 | + | 0.643940i | \(0.222701\pi\) | |||||||
\(444\) | 0.100545 | + | 0.375239i | 0.00477166 | + | 0.0178081i | ||||
\(445\) | −2.82543 | + | 4.89379i | −0.133938 | + | 0.231988i | ||||
\(446\) | −13.2197 | − | 22.8973i | −0.625973 | − | 1.08422i | ||||
\(447\) | 8.17122 | − | 8.17122i | 0.386486 | − | 0.386486i | ||||
\(448\) | 22.5472 | − | 2.98488i | 1.06525 | − | 0.141022i | ||||
\(449\) | −19.3546 | − | 5.18606i | −0.913402 | − | 0.244745i | −0.228639 | − | 0.973511i | \(-0.573428\pi\) |
−0.684763 | + | 0.728766i | \(0.740094\pi\) | |||||||
\(450\) | 3.59161 | − | 3.59161i | 0.169310 | − | 0.169310i | ||||
\(451\) | −7.51321 | + | 4.33776i | −0.353783 | + | 0.204257i | ||||
\(452\) | −1.44548 | − | 0.834549i | −0.0679897 | − | 0.0392539i | ||||
\(453\) | −12.1655 | + | 3.25973i | −0.571583 | + | 0.153155i | ||||
\(454\) | −18.0711 | −0.848120 | ||||||||
\(455\) | 1.22822 | + | 7.30854i | 0.0575798 | + | 0.342630i | ||||
\(456\) | 19.3267 | 0.905057 | ||||||||
\(457\) | 14.5061 | − | 3.88690i | 0.678567 | − | 0.181822i | 0.0969563 | − | 0.995289i | \(-0.469089\pi\) |
0.581611 | + | 0.813467i | \(0.302423\pi\) | |||||||
\(458\) | 5.11049 | + | 2.95054i | 0.238797 | + | 0.137870i | ||||
\(459\) | −3.03065 | + | 1.74975i | −0.141459 | + | 0.0816712i | ||||
\(460\) | −2.06375 | + | 2.06375i | −0.0962228 | + | 0.0962228i | ||||
\(461\) | 29.9515 | + | 8.02549i | 1.39498 | + | 0.373784i | 0.876540 | − | 0.481329i | \(-0.159846\pi\) |
0.518441 | + | 0.855113i | \(0.326512\pi\) | |||||||
\(462\) | 9.65151 | − | 1.27770i | 0.449029 | − | 0.0594441i | ||||
\(463\) | 3.61564 | − | 3.61564i | 0.168033 | − | 0.168033i | −0.618081 | − | 0.786114i | \(-0.712090\pi\) |
0.786114 | + | 0.618081i | \(0.212090\pi\) | |||||||
\(464\) | 10.1251 | + | 17.5371i | 0.470044 | + | 0.814141i | ||||
\(465\) | 0.487831 | − | 0.844949i | 0.0226226 | − | 0.0391835i | ||||
\(466\) | −0.952840 | − | 3.55605i | −0.0441395 | − | 0.164731i | ||||
\(467\) | 17.6775 | 0.818017 | 0.409009 | − | 0.912530i | \(-0.365875\pi\) | ||||
0.409009 | + | 0.912530i | \(0.365875\pi\) | |||||||
\(468\) | 0.701203 | + | 2.29376i | 0.0324131 | + | 0.106029i | ||||
\(469\) | −7.24994 | − | 17.4674i | −0.334771 | − | 0.806569i | ||||
\(470\) | −0.327374 | + | 0.0877195i | −0.0151006 | + | 0.00404620i | ||||
\(471\) | −2.74694 | + | 4.75783i | −0.126572 | + | 0.219229i | ||||
\(472\) | 3.77806 | + | 6.54379i | 0.173899 | + | 0.301202i | ||||
\(473\) | −17.1878 | − | 17.1878i | −0.790297 | − | 0.790297i | ||||
\(474\) | −12.0733 | − | 3.23503i | −0.554545 | − | 0.148590i | ||||
\(475\) | 7.14198 | − | 26.6542i | 0.327696 | − | 1.22298i | ||||
\(476\) | −2.35297 | + | 5.69214i | −0.107848 | + | 0.260899i | ||||
\(477\) | −5.80124 | − | 10.0480i | −0.265621 | − | 0.460068i | ||||
\(478\) | 2.29110 | + | 1.32276i | 0.104792 | + | 0.0605018i | ||||
\(479\) | −19.1281 | + | 5.12537i | −0.873987 | + | 0.234184i | −0.667811 | − | 0.744331i | \(-0.732769\pi\) |
−0.206176 | + | 0.978515i | \(0.566102\pi\) | |||||||
\(480\) | 2.78554i | 0.127142i | ||||||||
\(481\) | 0.988534 | − | 1.85904i | 0.0450733 | − | 0.0847647i | ||||
\(482\) | 7.33146i | 0.333939i | ||||||||
\(483\) | −11.8472 | + | 9.10417i | −0.539064 | + | 0.414254i | ||||
\(484\) | −0.284529 | + | 0.492819i | −0.0129332 | + | 0.0224009i | ||||
\(485\) | −0.490740 | + | 0.283329i | −0.0222834 | + | 0.0128653i | ||||
\(486\) | −0.816934 | + | 0.816934i | −0.0370569 | + | 0.0370569i | ||||
\(487\) | 10.1291 | − | 37.8022i | 0.458992 | − | 1.71298i | −0.217089 | − | 0.976152i | \(-0.569656\pi\) |
0.676080 | − | 0.736828i | \(-0.263677\pi\) | |||||||
\(488\) | 6.16787 | − | 23.0188i | 0.279206 | − | 1.04201i | ||||
\(489\) | −7.53752 | − | 7.53752i | −0.340859 | − | 0.340859i | ||||
\(490\) | −1.61740 | + | 6.07111i | −0.0730666 | + | 0.274265i | ||||
\(491\) | 16.0715 | + | 9.27889i | 0.725297 | + | 0.418750i | 0.816699 | − | 0.577064i | \(-0.195802\pi\) |
−0.0914021 | + | 0.995814i | \(0.529135\pi\) | |||||||
\(492\) | −0.468976 | − | 1.75024i | −0.0211431 | − | 0.0789071i | ||||
\(493\) | −31.8212 | −1.43315 | ||||||||
\(494\) | −19.1210 | − | 17.8316i | −0.860293 | − | 0.802282i | ||||
\(495\) | 2.47443i | 0.111217i | ||||||||
\(496\) | 0.723862 | + | 2.70149i | 0.0325023 | + | 0.121300i | ||||
\(497\) | −25.4491 | − | 3.33183i | −1.14155 | − | 0.149453i | ||||
\(498\) | −14.6244 | + | 8.44340i | −0.655335 | + | 0.378358i | ||||
\(499\) | 3.54363 | + | 3.54363i | 0.158635 | + | 0.158635i | 0.781962 | − | 0.623327i | \(-0.214219\pi\) |
−0.623327 | + | 0.781962i | \(0.714219\pi\) | |||||||
\(500\) | 4.69074 | + | 1.25688i | 0.209776 | + | 0.0562094i | ||||
\(501\) | 12.5089 | + | 3.35175i | 0.558856 | + | 0.149745i | ||||
\(502\) | 17.5323 | + | 17.5323i | 0.782507 | + | 0.782507i | ||||
\(503\) | 2.98438 | − | 1.72303i | 0.133067 | − | 0.0768262i | −0.431989 | − | 0.901879i | \(-0.642188\pi\) |
0.565056 | + | 0.825053i | \(0.308855\pi\) | |||||||
\(504\) | −1.05756 | + | 8.07786i | −0.0471077 | + | 0.359817i | ||||
\(505\) | 2.29754 | + | 8.57453i | 0.102239 | + | 0.381561i | ||||
\(506\) | − | 20.7805i | − | 0.923808i | ||||||
\(507\) | 5.69948 | − | 11.6840i | 0.253123 | − | 0.518905i | ||||
\(508\) | 11.2340 | 0.498428 | ||||||||
\(509\) | −7.93556 | − | 29.6159i | −0.351737 | − | 1.31270i | −0.884541 | − | 0.466463i | \(-0.845528\pi\) |
0.532803 | − | 0.846239i | \(-0.321138\pi\) | |||||||
\(510\) | 2.72017 | + | 1.57049i | 0.120451 | + | 0.0695424i | ||||
\(511\) | −17.5595 | + | 22.9181i | −0.776786 | + | 1.01384i | ||||
\(512\) | −15.3439 | − | 15.3439i | −0.678111 | − | 0.678111i | ||||
\(513\) | −1.62449 | + | 6.06267i | −0.0717229 | + | 0.267674i | ||||
\(514\) | −8.48696 | + | 31.6738i | −0.374344 | + | 1.39707i | ||||
\(515\) | 10.6116 | − | 10.6116i | 0.467604 | − | 0.467604i | ||||
\(516\) | 4.39670 | − | 2.53843i | 0.193554 | − | 0.111748i | ||||
\(517\) | −0.601351 | + | 1.04157i | −0.0264474 | + | 0.0458082i | ||||
\(518\) | 1.41536 | − | 1.08766i | 0.0621872 | − | 0.0477889i | ||||
\(519\) | 0.997217i | 0.0437729i | ||||||||
\(520\) | 5.88252 | − | 6.30787i | 0.257966 | − | 0.276619i | ||||
\(521\) | − | 13.0906i | − | 0.573510i | −0.958004 | − | 0.286755i | \(-0.907423\pi\) | ||
0.958004 | − | 0.286755i | \(-0.0925766\pi\) | |||||||
\(522\) | −10.1474 | + | 2.71900i | −0.444141 | + | 0.119007i | ||||
\(523\) | 29.9435 | + | 17.2879i | 1.30934 | + | 0.755946i | 0.981985 | − | 0.188957i | \(-0.0605106\pi\) |
0.327351 | + | 0.944903i | \(0.393844\pi\) | |||||||
\(524\) | 3.05526 | + | 5.29186i | 0.133469 | + | 0.231176i | ||||
\(525\) | 10.7497 | + | 4.44361i | 0.469154 | + | 0.193935i | ||||
\(526\) | −3.79009 | + | 14.1448i | −0.165256 | + | 0.616743i | ||||
\(527\) | −4.24513 | − | 1.13748i | −0.184921 | − | 0.0495494i | ||||
\(528\) | −5.01556 | − | 5.01556i | −0.218274 | − | 0.218274i | ||||
\(529\) | 4.44578 | + | 7.70032i | 0.193295 | + | 0.334797i | ||||
\(530\) | −5.20691 | + | 9.01864i | −0.226174 | + | 0.391745i | ||||
\(531\) | −2.37031 | + | 0.635122i | −0.102863 | + | 0.0275619i | ||||
\(532\) | 4.23486 | + | 10.2031i | 0.183604 | + | 0.442360i | ||||
\(533\) | −4.61086 | + | 8.67118i | −0.199719 | + | 0.375590i | ||||
\(534\) | 8.40349 | 0.363654 | ||||||||
\(535\) | −1.84623 | − | 6.89022i | −0.0798194 | − | 0.297890i | ||||
\(536\) | −11.0053 | + | 19.0617i | −0.475355 | + | 0.823340i | ||||
\(537\) | 2.81922 | + | 4.88304i | 0.121658 | + | 0.210719i | ||||
\(538\) | 5.30857 | − | 5.30857i | 0.228869 | − | 0.228869i | ||||
\(539\) | 11.1754 | + | 19.2923i | 0.481360 | + | 0.830979i | ||||
\(540\) | −0.499204 | − | 0.133761i | −0.0214823 | − | 0.00575617i | ||||
\(541\) | 23.6775 | − | 23.6775i | 1.01797 | − | 1.01797i | 0.0181382 | − | 0.999835i | \(-0.494226\pi\) |
0.999835 | − | 0.0181382i | \(-0.00577388\pi\) | |||||||
\(542\) | −6.36638 | + | 3.67563i | −0.273460 | + | 0.157882i | ||||
\(543\) | −18.6277 | − | 10.7547i | −0.799390 | − | 0.461528i | ||||
\(544\) | 12.1200 | − | 3.24754i | 0.519640 | − | 0.139237i | ||||
\(545\) | −1.96847 | −0.0843201 | ||||||||
\(546\) | 8.49926 | − | 7.01612i | 0.363735 | − | 0.300262i | ||||
\(547\) | −9.25725 | −0.395811 | −0.197906 | − | 0.980221i | \(-0.563414\pi\) | ||||
−0.197906 | + | 0.980221i | \(0.563414\pi\) | |||||||
\(548\) | −4.04609 | + | 1.08415i | −0.172840 | + | 0.0463124i | ||||
\(549\) | 6.70242 | + | 3.86964i | 0.286052 | + | 0.165152i | ||||
\(550\) | −14.0104 | + | 8.08893i | −0.597407 | + | 0.344913i | ||||
\(551\) | −40.3567 | + | 40.3567i | −1.71926 | + | 1.71926i | ||||
\(552\) | 16.7965 | + | 4.50062i | 0.714908 | + | 0.191559i | ||||
\(553\) | −3.75657 | − | 28.3764i | −0.159746 | − | 1.20669i | ||||
\(554\) | −14.7744 | + | 14.7744i | −0.627705 | + | 0.627705i | ||||
\(555\) | 0.226838 | + | 0.392894i | 0.00962872 | + | 0.0166774i | ||||
\(556\) | −6.38496 | + | 11.0591i | −0.270783 | + | 0.469009i | ||||
\(557\) | 2.46966 | + | 9.21689i | 0.104643 | + | 0.390532i | 0.998304 | − | 0.0582092i | \(-0.0185390\pi\) |
−0.893662 | + | 0.448742i | \(0.851872\pi\) | |||||||
\(558\) | −1.45092 | −0.0614224 | ||||||||
\(559\) | −26.8109 | − | 6.19058i | −1.13398 | − | 0.261834i | ||||
\(560\) | 4.22775 | − | 1.75475i | 0.178655 | − | 0.0741518i | ||||
\(561\) | 10.7663 | − | 2.88482i | 0.454553 | − | 0.121797i | ||||
\(562\) | 5.25728 | − | 9.10588i | 0.221765 | − | 0.384108i | ||||
\(563\) | 1.08829 | + | 1.88498i | 0.0458661 | + | 0.0794424i | 0.888047 | − | 0.459753i | \(-0.152062\pi\) |
−0.842181 | + | 0.539195i | \(0.818729\pi\) | |||||||
\(564\) | −0.177624 | − | 0.177624i | −0.00747933 | − | 0.00747933i | ||||
\(565\) | −1.88281 | − | 0.504497i | −0.0792104 | − | 0.0212244i | ||||
\(566\) | 4.38789 | − | 16.3758i | 0.184437 | − | 0.688327i | ||||
\(567\) | −2.44508 | − | 1.01073i | −0.102684 | − | 0.0424466i | ||||
\(568\) | 14.9356 | + | 25.8692i | 0.626683 | + | 1.08545i | ||||
\(569\) | 20.3648 | + | 11.7576i | 0.853738 | + | 0.492906i | 0.861910 | − | 0.507061i | \(-0.169268\pi\) |
−0.00817222 | + | 0.999967i | \(0.502601\pi\) | |||||||
\(570\) | 5.44156 | − | 1.45806i | 0.227922 | − | 0.0610715i | ||||
\(571\) | 13.2414i | 0.554134i | 0.960851 | + | 0.277067i | \(0.0893624\pi\) | ||||
−0.960851 | + | 0.277067i | \(0.910638\pi\) | |||||||
\(572\) | −0.266400 | − | 7.63486i | −0.0111388 | − | 0.319230i | ||||
\(573\) | 8.78397i | 0.366955i | ||||||||
\(574\) | −6.60170 | + | 5.07321i | −0.275550 | + | 0.211752i | ||||
\(575\) | 12.4139 | − | 21.5016i | 0.517697 | − | 0.896678i | ||||
\(576\) | 7.44469 | − | 4.29820i | 0.310196 | − | 0.179091i | ||||
\(577\) | −1.10520 | + | 1.10520i | −0.0460102 | + | 0.0460102i | −0.729738 | − | 0.683727i | \(-0.760358\pi\) |
0.683727 | + | 0.729738i | \(0.260358\pi\) | |||||||
\(578\) | −1.42140 | + | 5.30472i | −0.0591223 | + | 0.220647i | ||||
\(579\) | 0.249296 | − | 0.930384i | 0.0103604 | − | 0.0386654i | ||||
\(580\) | −3.32300 | − | 3.32300i | −0.137980 | − | 0.137980i | ||||
\(581\) | −30.6973 | − | 23.5198i | −1.27354 | − | 0.975768i | ||||
\(582\) | 0.729787 | + | 0.421343i | 0.0302506 | + | 0.0174652i | ||||
\(583\) | 9.56454 | + | 35.6954i | 0.396123 | + | 1.47835i | ||||
\(584\) | 33.6017 | 1.39045 | ||||||||
\(585\) | 1.48429 | + | 2.37551i | 0.0613679 | + | 0.0982153i | ||||
\(586\) | − | 7.57788i | − | 0.313039i | ||||||
\(587\) | 6.57121 | + | 24.5241i | 0.271223 | + | 1.01222i | 0.958331 | + | 0.285662i | \(0.0922133\pi\) |
−0.687108 | + | 0.726556i | \(0.741120\pi\) | |||||||
\(588\) | −4.49625 | + | 1.21170i | −0.185422 | + | 0.0499696i | ||||
\(589\) | −6.82642 | + | 3.94124i | −0.281278 | + | 0.162396i | ||||
\(590\) | 1.55742 | + | 1.55742i | 0.0641179 | + | 0.0641179i | ||||
\(591\) | 16.6329 | + | 4.45678i | 0.684187 | + | 0.183327i | ||||
\(592\) | −1.25617 | − | 0.336590i | −0.0516283 | − | 0.0138338i | ||||
\(593\) | 13.5799 | + | 13.5799i | 0.557660 | + | 0.557660i | 0.928641 | − | 0.370981i | \(-0.120978\pi\) |
−0.370981 | + | 0.928641i | \(0.620978\pi\) | |||||||
\(594\) | 3.18676 | − | 1.83988i | 0.130754 | − | 0.0754911i | ||||
\(595\) | −0.933753 | + | 7.13216i | −0.0382801 | + | 0.292390i | ||||
\(596\) | −1.98964 | − | 7.42545i | −0.0814989 | − | 0.304158i | ||||
\(597\) | − | 2.25111i | − | 0.0921316i | ||||||
\(598\) | −12.4653 | − | 19.9499i | −0.509743 | − | 0.815810i | ||||
\(599\) | −6.33246 | −0.258737 | −0.129369 | − | 0.991597i | \(-0.541295\pi\) | ||||
−0.129369 | + | 0.991597i | \(0.541295\pi\) | |||||||
\(600\) | −3.50377 | − | 13.0763i | −0.143041 | − | 0.533836i | ||||
\(601\) | 20.1592 | + | 11.6389i | 0.822309 | + | 0.474760i | 0.851212 | − | 0.524822i | \(-0.175868\pi\) |
−0.0289030 | + | 0.999582i | \(0.509201\pi\) | |||||||
\(602\) | −18.5172 | − | 14.1876i | −0.754706 | − | 0.578245i | ||||
\(603\) | −5.05450 | − | 5.05450i | −0.205835 | − | 0.205835i | ||||
\(604\) | −2.16849 | + | 8.09292i | −0.0882347 | + | 0.329296i | ||||
\(605\) | −0.172002 | + | 0.641921i | −0.00699288 | + | 0.0260978i | ||||
\(606\) | 9.33461 | − | 9.33461i | 0.379192 | − | 0.379192i | ||||
\(607\) | 9.09221 | − | 5.24939i | 0.369041 | − | 0.213066i | −0.303998 | − | 0.952673i | \(-0.598322\pi\) |
0.673040 | + | 0.739607i | \(0.264988\pi\) | |||||||
\(608\) | 11.2523 | − | 19.4896i | 0.456343 | − | 0.790409i | ||||
\(609\) | −14.6593 | − | 19.0760i | −0.594025 | − | 0.772998i | ||||
\(610\) | − | 6.94641i | − | 0.281252i | ||||||
\(611\) | 0.0474768 | + | 1.36066i | 0.00192071 | + | 0.0550462i | ||||
\(612\) | 2.32800i | 0.0941036i | ||||||||
\(613\) | −8.40441 | + | 2.25196i | −0.339451 | + | 0.0909556i | −0.424518 | − | 0.905420i | \(-0.639556\pi\) |
0.0850667 | + | 0.996375i | \(0.472890\pi\) | |||||||
\(614\) | 33.3606 | + | 19.2607i | 1.34632 | + | 0.777300i | ||||
\(615\) | −1.05805 | − | 1.83259i | −0.0426646 | − | 0.0738973i | ||||
\(616\) | 9.91264 | − | 23.9800i | 0.399392 | − | 0.966180i | ||||
\(617\) | 7.98973 | − | 29.8181i | 0.321654 | − | 1.20043i | −0.595978 | − | 0.803000i | \(-0.703236\pi\) |
0.917633 | − | 0.397430i | \(-0.130098\pi\) | |||||||
\(618\) | −21.5568 | − | 5.77613i | −0.867143 | − | 0.232350i | ||||
\(619\) | 2.31233 | + | 2.31233i | 0.0929403 | + | 0.0929403i | 0.752048 | − | 0.659108i | \(-0.229066\pi\) |
−0.659108 | + | 0.752048i | \(0.729066\pi\) | |||||||
\(620\) | −0.324524 | − | 0.562091i | −0.0130332 | − | 0.0225741i | ||||
\(621\) | −2.82363 | + | 4.89067i | −0.113308 | + | 0.196256i | ||||
\(622\) | −3.24272 | + | 0.868885i | −0.130021 | + | 0.0348391i | ||||
\(623\) | 7.37733 | + | 17.7743i | 0.295566 | + | 0.712112i | ||||
\(624\) | −7.82366 | − | 1.80647i | −0.313197 | − | 0.0723165i | ||||
\(625\) | −16.3110 | −0.652440 | ||||||||
\(626\) | 0.287245 | + | 1.07201i | 0.0114806 | + | 0.0428462i | ||||
\(627\) | 9.99557 | − | 17.3128i | 0.399184 | − | 0.691408i | ||||
\(628\) | 1.82737 | + | 3.16509i | 0.0729198 | + | 0.126301i | ||||
\(629\) | 1.44503 | − | 1.44503i | 0.0576173 | − | 0.0576173i | ||||
\(630\) | 0.311652 | + | 2.35416i | 0.0124165 | + | 0.0937919i | ||||
\(631\) | 5.07213 | + | 1.35907i | 0.201918 | + | 0.0541039i | 0.358361 | − | 0.933583i | \(-0.383336\pi\) |
−0.156442 | + | 0.987687i | \(0.550003\pi\) | |||||||
\(632\) | −23.5561 | + | 23.5561i | −0.937011 | + | 0.937011i | ||||
\(633\) | 17.9352 | − | 10.3549i | 0.712859 | − | 0.411569i | ||||
\(634\) | 33.5654 | + | 19.3790i | 1.33305 | + | 0.769638i | ||||
\(635\) | 12.6724 | − | 3.39556i | 0.502889 | − | 0.134749i | ||||
\(636\) | −7.71841 | −0.306055 | ||||||||
\(637\) | 22.3013 | + | 11.8175i | 0.883608 | + | 0.468227i | ||||
\(638\) | 33.4603 | 1.32471 | ||||||||
\(639\) | −9.37039 | + | 2.51079i | −0.370687 | + | 0.0993253i | ||||
\(640\) | −1.85729 | − | 1.07231i | −0.0734160 | − | 0.0423867i | ||||
\(641\) | −28.4420 | + | 16.4210i | −1.12339 | + | 0.648589i | −0.942264 | − | 0.334871i | \(-0.891307\pi\) |
−0.181126 | + | 0.983460i | \(0.557974\pi\) | |||||||
\(642\) | −7.50099 | + | 7.50099i | −0.296041 | + | 0.296041i | ||||
\(643\) | 35.7163 | + | 9.57017i | 1.40852 | + | 0.377411i | 0.881395 | − | 0.472380i | \(-0.156605\pi\) |
0.527120 | + | 0.849791i | \(0.323272\pi\) | |||||||
\(644\) | 1.30444 | + | 9.85351i | 0.0514023 | + | 0.388283i | ||||
\(645\) | 4.19239 | − | 4.19239i | 0.165075 | − | 0.165075i | ||||
\(646\) | −12.6881 | − | 21.9765i | −0.499208 | − | 0.864653i | ||||
\(647\) | −24.0363 | + | 41.6322i | −0.944966 | + | 1.63673i | −0.189147 | + | 0.981949i | \(0.560572\pi\) |
−0.755819 | + | 0.654780i | \(0.772761\pi\) | |||||||
\(648\) | 0.796956 | + | 2.97428i | 0.0313074 | + | 0.116841i | ||||
\(649\) | 7.81588 | 0.306800 | ||||||||
\(650\) | −8.59821 | + | 16.1698i | −0.337249 | + | 0.634231i | ||||
\(651\) | −1.27375 | − | 3.06886i | −0.0499221 | − | 0.120278i | ||||
\(652\) | −6.84958 | + | 1.83534i | −0.268250 | + | 0.0718775i | ||||
\(653\) | 17.6801 | − | 30.6228i | 0.691876 | − | 1.19836i | −0.279347 | − | 0.960190i | \(-0.590118\pi\) |
0.971223 | − | 0.238174i | \(-0.0765488\pi\) | |||||||
\(654\) | 1.46367 | + | 2.53516i | 0.0572341 | + | 0.0991325i | ||||
\(655\) | 5.04595 | + | 5.04595i | 0.197162 | + | 0.197162i | ||||
\(656\) | 5.85921 | + | 1.56997i | 0.228764 | + | 0.0612970i | ||||
\(657\) | −2.82435 | + | 10.5406i | −0.110189 | + | 0.411229i | ||||
\(658\) | −0.440938 | + | 1.06669i | −0.0171895 | + | 0.0415837i | ||||
\(659\) | 14.6210 | + | 25.3243i | 0.569554 | + | 0.986496i | 0.996610 | + | 0.0822711i | \(0.0262173\pi\) |
−0.427056 | + | 0.904225i | \(0.640449\pi\) | |||||||
\(660\) | 1.42555 | + | 0.823040i | 0.0554894 | + | 0.0320368i | ||||
\(661\) | −21.1225 | + | 5.65976i | −0.821570 | + | 0.220139i | −0.645033 | − | 0.764155i | \(-0.723156\pi\) |
−0.176537 | + | 0.984294i | \(0.556490\pi\) | |||||||
\(662\) | 14.6153i | 0.568038i | ||||||||
\(663\) | 8.60545 | − | 9.22769i | 0.334208 | − | 0.358374i | ||||
\(664\) | 45.0073i | 1.74662i | ||||||||
\(665\) | 7.86105 | + | 10.2295i | 0.304838 | + | 0.396682i | ||||
\(666\) | 0.337334 | − | 0.584279i | 0.0130714 | − | 0.0226403i | ||||
\(667\) | −44.4713 | + | 25.6755i | −1.72193 | + | 0.994159i | ||||
\(668\) | 6.09168 | − | 6.09168i | 0.235694 | − | 0.235694i | ||||
\(669\) | 5.92307 | − | 22.1052i | 0.228999 | − | 0.854637i | ||||
\(670\) | −1.66054 | + | 6.19721i | −0.0641521 | + | 0.239419i | ||||
\(671\) | −17.4302 | − | 17.4302i | −0.672886 | − | 0.672886i | ||||
\(672\) | 7.53022 | + | 5.76954i | 0.290484 | + | 0.222565i | ||||
\(673\) | −6.52213 | − | 3.76555i | −0.251409 | − | 0.145151i | 0.369000 | − | 0.929429i | \(-0.379700\pi\) |
−0.620409 | + | 0.784278i | \(0.713034\pi\) | |||||||
\(674\) | −3.83258 | − | 14.3034i | −0.147625 | − | 0.550945i | ||||
\(675\) | 4.39645 | 0.169219 | ||||||||
\(676\) | −4.83555 | − | 7.16986i | −0.185983 | − | 0.275764i | ||||
\(677\) | − | 30.7509i | − | 1.18185i | −0.806726 | − | 0.590926i | \(-0.798763\pi\) | ||
0.806726 | − | 0.590926i | \(-0.201237\pi\) | |||||||
\(678\) | 0.750245 | + | 2.79995i | 0.0288130 | + | 0.107532i | ||||
\(679\) | −0.250514 | + | 1.91347i | −0.00961386 | + | 0.0734323i | ||||
\(680\) | 7.24989 | − | 4.18573i | 0.278021 | − | 0.160515i | ||||
\(681\) | −11.0603 | − | 11.0603i | −0.423833 | − | 0.423833i | ||||
\(682\) | 4.46380 | + | 1.19607i | 0.170928 | + | 0.0458000i | ||||
\(683\) | 14.8258 | + | 3.97256i | 0.567293 | + | 0.152006i | 0.531055 | − | 0.847338i | \(-0.321796\pi\) |
0.0362380 | + | 0.999343i | \(0.488463\pi\) | |||||||
\(684\) | 2.95245 | + | 2.95245i | 0.112890 | + | 0.112890i | ||||
\(685\) | −4.23646 | + | 2.44592i | −0.161867 | + | 0.0934538i | ||||
\(686\) | 13.0621 | + | 16.9471i | 0.498714 | + | 0.647044i | ||||
\(687\) | 1.32198 | + | 4.93371i | 0.0504368 | + | 0.188233i | ||||
\(688\) | 16.9956i | 0.647951i | ||||||||
\(689\) | 30.5942 | + | 28.5311i | 1.16555 | + | 1.08695i | ||||
\(690\) | 5.06871 | 0.192962 | ||||||||
\(691\) | −12.7049 | − | 47.4152i | −0.483316 | − | 1.80376i | −0.587528 | − | 0.809204i | \(-0.699899\pi\) |
0.104212 | − | 0.994555i | \(-0.466768\pi\) | |||||||
\(692\) | 0.574509 | + | 0.331693i | 0.0218396 | + | 0.0126091i | ||||
\(693\) | 6.68917 | + | 5.12514i | 0.254100 | + | 0.194688i | ||||
\(694\) | 15.1847 | + | 15.1847i | 0.576404 | + | 0.576404i | ||||
\(695\) | −3.85980 | + | 14.4050i | −0.146411 | + | 0.546412i | ||||
\(696\) | −7.24678 | + | 27.0453i | −0.274688 | + | 1.02515i | ||||
\(697\) | −6.74013 | + | 6.74013i | −0.255301 | + | 0.255301i | ||||
\(698\) | −4.79214 | + | 2.76674i | −0.181385 | + | 0.104723i | ||||
\(699\) | 1.59328 | − | 2.75964i | 0.0602633 | − | 0.104379i | ||||
\(700\) | 6.13557 | − | 4.71500i | 0.231903 | − | 0.178210i | ||||
\(701\) | 40.9218i | 1.54559i | 0.634653 | + | 0.772797i | \(0.281143\pi\) | ||||
−0.634653 | + | 0.772797i | \(0.718857\pi\) | |||||||
\(702\) | 1.95572 | − | 3.67792i | 0.0738138 | − | 0.138814i | ||||
\(703\) | − | 3.66529i | − | 0.138239i | ||||||
\(704\) | −26.4470 | + | 7.08646i | −0.996760 | + | 0.267081i | ||||
\(705\) | −0.254056 | − | 0.146679i | −0.00956829 | − | 0.00552425i | ||||
\(706\) | 7.13933 | + | 12.3657i | 0.268692 | + | 0.465389i | ||||
\(707\) | 27.9385 | + | 11.5490i | 1.05073 | + | 0.434344i | ||||
\(708\) | −0.422507 | + | 1.57682i | −0.0158788 | + | 0.0592604i | ||||
\(709\) | −20.0521 | − | 5.37294i | −0.753071 | − | 0.201785i | −0.138191 | − | 0.990406i | \(-0.544129\pi\) |
−0.614880 | + | 0.788621i | \(0.710796\pi\) | |||||||
\(710\) | 6.15685 | + | 6.15685i | 0.231062 | + | 0.231062i | ||||
\(711\) | −5.40942 | − | 9.36939i | −0.202869 | − | 0.351379i | ||||
\(712\) | 11.1986 | − | 19.3966i | 0.419687 | − | 0.726919i | ||||
\(713\) | −6.85053 | + | 1.83559i | −0.256554 | + | 0.0687435i | ||||
\(714\) | 9.87967 | − | 4.10061i | 0.369737 | − | 0.153462i | ||||
\(715\) | −2.60820 | − | 8.53191i | −0.0975413 | − | 0.319075i | ||||
\(716\) | 3.75090 | 0.140178 | ||||||||
\(717\) | 0.592662 | + | 2.21184i | 0.0221333 | + | 0.0826028i | ||||
\(718\) | −3.43224 | + | 5.94482i | −0.128090 | + | 0.221859i | ||||
\(719\) | −6.50138 | − | 11.2607i | −0.242461 | − | 0.419954i | 0.718954 | − | 0.695058i | \(-0.244621\pi\) |
−0.961415 | + | 0.275103i | \(0.911288\pi\) | |||||||
\(720\) | 1.22337 | − | 1.22337i | 0.0455925 | − | 0.0455925i | ||||
\(721\) | −6.70734 | − | 50.6659i | −0.249794 | − | 1.88690i | ||||
\(722\) | −22.7598 | − | 6.09847i | −0.847033 | − | 0.226962i | ||||
\(723\) | −4.48718 | + | 4.48718i | −0.166880 | + | 0.166880i | ||||
\(724\) | −12.3918 | + | 7.15442i | −0.460539 | + | 0.265892i | ||||
\(725\) | 34.6213 | + | 19.9886i | 1.28580 | + | 0.742359i | ||||
\(726\) | 0.954610 | − | 0.255787i | 0.0354289 | − | 0.00949315i | ||||
\(727\) | −9.09604 | −0.337353 | −0.168677 | − | 0.985671i | \(-0.553949\pi\) | ||||
−0.168677 | + | 0.985671i | \(0.553949\pi\) | |||||||
\(728\) | −4.86806 | − | 28.9675i | −0.180422 | − | 1.07361i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 9.46076 | − | 2.53500i | 0.350159 | − | 0.0938247i | ||||
\(731\) | −23.1289 | − | 13.3535i | −0.855453 | − | 0.493896i | ||||
\(732\) | 4.45870 | − | 2.57423i | 0.164798 | − | 0.0951463i | ||||
\(733\) | −24.5299 | + | 24.5299i | −0.906033 | + | 0.906033i | −0.995949 | − | 0.0899161i | \(-0.971340\pi\) |
0.0899161 | + | 0.995949i | \(0.471340\pi\) | |||||||
\(734\) | −6.51649 | − | 1.74609i | −0.240528 | − | 0.0644493i | ||||
\(735\) | −4.70571 | + | 2.72587i | −0.173573 | + | 0.100545i | ||||
\(736\) | 14.3178 | − | 14.3178i | 0.527760 | − | 0.527760i | ||||
\(737\) | 11.3836 | + | 19.7170i | 0.419321 | + | 0.726285i | ||||
\(738\) | −1.57344 | + | 2.72528i | −0.0579191 | + | 0.100319i | ||||
\(739\) | −12.5301 | − | 46.7628i | −0.460926 | − | 1.72020i | −0.670056 | − | 0.742311i | \(-0.733730\pi\) |
0.209130 | − | 0.977888i | \(-0.432937\pi\) | |||||||
\(740\) | 0.301802 | 0.0110945 | ||||||||
\(741\) | −0.789153 | − | 22.6166i | −0.0289903 | − | 0.830843i | ||||
\(742\) | 13.5955 | + | 32.7558i | 0.499106 | + | 1.20250i | ||||
\(743\) | −11.2679 | + | 3.01923i | −0.413379 | + | 0.110765i | −0.459514 | − | 0.888171i | \(-0.651976\pi\) |
0.0461346 | + | 0.998935i | \(0.485310\pi\) | |||||||
\(744\) | −1.93353 | + | 3.34897i | −0.0708865 | + | 0.122779i | ||||
\(745\) | −4.48879 | − | 7.77482i | −0.164457 | − | 0.284847i | ||||
\(746\) | 8.46019 | + | 8.46019i | 0.309749 | + | 0.309749i | ||||
\(747\) | −14.1185 | − | 3.78305i | −0.516570 | − | 0.138414i | ||||
\(748\) | 1.91909 | − | 7.16214i | 0.0701689 | − | 0.261874i | ||||
\(749\) | −22.4505 | − | 9.28039i | −0.820322 | − | 0.339098i | ||||
\(750\) | −4.21690 | − | 7.30388i | −0.153979 | − | 0.266700i | ||||
\(751\) | −12.9544 | − | 7.47922i | −0.472712 | − | 0.272921i | 0.244662 | − | 0.969608i | \(-0.421323\pi\) |
−0.717374 | + | 0.696688i | \(0.754656\pi\) | |||||||
\(752\) | 0.812272 | − | 0.217648i | 0.0296205 | − | 0.00793679i | ||||
\(753\) | 21.4611i | 0.782088i | ||||||||
\(754\) | 32.1227 | − | 20.0713i | 1.16984 | − | 0.730952i | ||||
\(755\) | 9.78458i | 0.356097i | ||||||||
\(756\) | −1.39557 | + | 1.07246i | −0.0507565 | + | 0.0390048i | ||||
\(757\) | 13.2377 | − | 22.9284i | 0.481134 | − | 0.833348i | −0.518632 | − | 0.854998i | \(-0.673558\pi\) |
0.999766 | + | 0.0216496i | \(0.00689182\pi\) | |||||||
\(758\) | −7.01097 | + | 4.04778i | −0.254650 | + | 0.147022i | ||||
\(759\) | 12.7186 | − | 12.7186i | 0.461657 | − | 0.461657i | ||||
\(760\) | 3.88608 | − | 14.5031i | 0.140963 | − | 0.526081i | ||||
\(761\) | −10.6129 | + | 39.6079i | −0.384718 | + | 1.43579i | 0.453893 | + | 0.891056i | \(0.350035\pi\) |
−0.838611 | + | 0.544731i | \(0.816632\pi\) | |||||||
\(762\) | −13.7957 | − | 13.7957i | −0.499767 | − | 0.499767i | ||||
\(763\) | −4.07719 | + | 5.32141i | −0.147604 | + | 0.192648i | ||||
\(764\) | 5.06055 | + | 2.92171i | 0.183084 | + | 0.105704i | ||||
\(765\) | 0.703654 | + | 2.62607i | 0.0254407 | + | 0.0949458i | ||||
\(766\) | 8.54114 | 0.308604 | ||||||||
\(767\) | 7.50344 | − | 4.68838i | 0.270934 | − | 0.169288i | ||||
\(768\) | − | 14.0035i | − | 0.505307i | ||||||
\(769\) | 0.837092 | + | 3.12407i | 0.0301863 | + | 0.112657i | 0.979375 | − | 0.202050i | \(-0.0647604\pi\) |
−0.949189 | + | 0.314707i | \(0.898094\pi\) | |||||||
\(770\) | 0.981851 | − | 7.49955i | 0.0353834 | − | 0.270265i | ||||
\(771\) | −24.5801 | + | 14.1914i | −0.885232 | + | 0.511089i | ||||
\(772\) | −0.453085 | − | 0.453085i | −0.0163069 | − | 0.0163069i | ||||
\(773\) | −20.3857 | − | 5.46232i | −0.733221 | − | 0.196466i | −0.127158 | − | 0.991882i | \(-0.540585\pi\) |
−0.606063 | + | 0.795417i | \(0.707252\pi\) | |||||||
\(774\) | −8.51657 | − | 2.28201i | −0.306122 | − | 0.0820251i | ||||
\(775\) | 3.90417 | + | 3.90417i | 0.140242 | + | 0.140242i | ||||
\(776\) | 1.94506 | − | 1.12298i | 0.0698234 | − | 0.0403126i | ||||
\(777\) | 1.53196 | + | 0.200566i | 0.0549586 | + | 0.00719525i | ||||
\(778\) | −3.05836 | − | 11.4140i | −0.109648 | − | 0.409211i | ||||
\(779\) | 17.0962i | 0.612533i | ||||||||
\(780\) | 1.86227 | − | 0.0649793i | 0.0666798 | − | 0.00232663i | ||||
\(781\) | 30.8980 | 1.10562 | ||||||||
\(782\) | −5.90937 | − | 22.0541i | −0.211319 | − | 0.788652i | ||||
\(783\) | −7.87483 | − | 4.54654i | −0.281424 | − | 0.162480i | ||||
\(784\) | 4.01305 | − | 15.0635i | 0.143323 | − | 0.537982i | ||||
\(785\) | 3.01801 | + | 3.01801i | 0.107718 | + | 0.107718i | ||||
\(786\) | 2.74662 | − | 10.2505i | 0.0979688 | − | 0.365625i | ||||
\(787\) | 12.5317 | − | 46.7690i | 0.446707 | − | 1.66713i | −0.264682 | − | 0.964336i | \(-0.585267\pi\) |
0.711389 | − | 0.702798i | \(-0.248066\pi\) | |||||||
\(788\) | 8.10003 | − | 8.10003i | 0.288552 | − | 0.288552i | ||||
\(789\) | −10.9770 | + | 6.33755i | −0.390790 | + | 0.225623i | ||||
\(790\) | −4.85523 | + | 8.40951i | −0.172741 | + | 0.299197i | ||||
\(791\) | −5.26358 | + | 4.04490i | −0.187151 | + | 0.143820i | ||||
\(792\) | − | 9.80742i | − | 0.348492i | ||||||
\(793\) | −27.1890 | − | 6.27789i | −0.965511 | − | 0.222934i | ||||
\(794\) | − | 32.5970i | − | 1.15682i | ||||||
\(795\) | −8.70667 | + | 2.33295i | −0.308794 | + | 0.0827411i | ||||
\(796\) | −1.29689 | − | 0.748760i | −0.0459671 | − | 0.0265391i | ||||
\(797\) | −22.9487 | − | 39.7483i | −0.812884 | − | 1.40796i | −0.910837 | − | 0.412765i | \(-0.864563\pi\) |
0.0979535 | − | 0.995191i | \(-0.468770\pi\) | |||||||
\(798\) | 7.32920 | − | 17.7303i | 0.259451 | − | 0.627646i | ||||
\(799\) | −0.342013 | + | 1.27641i | −0.0120995 | + | 0.0451561i | ||||
\(800\) | −15.2264 | − | 4.07991i | −0.538336 | − | 0.144247i | ||||
\(801\) | 5.14331 | + | 5.14331i | 0.181730 | + | 0.181730i | ||||
\(802\) | 4.07838 | + | 7.06395i | 0.144012 | + | 0.249437i | ||||
\(803\) | 17.3784 | − | 30.1003i | 0.613271 | − | 1.06222i | ||||
\(804\) | −4.59318 | + | 1.23074i | −0.161989 | + | 0.0434048i | ||||
\(805\) | 4.44976 | + | 10.7209i | 0.156834 | + | 0.377861i | ||||
\(806\) | 5.00283 | − | 1.52937i | 0.176217 | − | 0.0538696i | ||||
\(807\) | 6.49817 | 0.228746 | ||||||||
\(808\) | −9.10633 | − | 33.9853i | −0.320359 | − | 1.19560i | ||||
\(809\) | 22.7833 | − | 39.4619i | 0.801019 | − | 1.38740i | −0.117928 | − | 0.993022i | \(-0.537625\pi\) |
0.918946 | − | 0.394383i | \(-0.129042\pi\) | |||||||
\(810\) | 0.448776 | + | 0.777302i | 0.0157684 | + | 0.0273116i | ||||
\(811\) | 15.7365 | − | 15.7365i | 0.552584 | − | 0.552584i | −0.374602 | − | 0.927186i | \(-0.622221\pi\) |
0.927186 | + | 0.374602i | \(0.122221\pi\) | |||||||
\(812\) | −15.8659 | + | 2.10038i | −0.556783 | + | 0.0737090i | ||||
\(813\) | −6.14616 | − | 1.64686i | −0.215555 | − | 0.0577579i | ||||
\(814\) | −1.51947 | + | 1.51947i | −0.0532573 | + | 0.0532573i | ||||
\(815\) | −7.17186 | + | 4.14067i | −0.251219 | + | 0.145041i | ||||
\(816\) | −6.74921 | − | 3.89666i | −0.236270 | − | 0.136410i | ||||
\(817\) | −46.2683 | + | 12.3975i | −1.61872 | + | 0.433735i | ||||
\(818\) | 36.3605 | 1.27132 | ||||||||
\(819\) | 9.49610 | + | 0.907752i | 0.331821 | + | 0.0317194i | ||||
\(820\) | −1.40771 | −0.0491592 | ||||||||
\(821\) | −51.3616 | + | 13.7623i | −1.79253 | + | 0.480307i | −0.992772 | − | 0.120014i | \(-0.961706\pi\) |
−0.799759 | + | 0.600322i | \(0.795039\pi\) | |||||||
\(822\) | 6.30010 | + | 3.63736i | 0.219741 | + | 0.126868i | ||||
\(823\) | 0.0980900 | − | 0.0566323i | 0.00341920 | − | 0.00197408i | −0.498289 | − | 0.867011i | \(-0.666038\pi\) |
0.501709 | + | 0.865037i | \(0.332705\pi\) | |||||||
\(824\) | −42.0593 | + | 42.0593i | −1.46521 | + | 1.46521i | ||||
\(825\) | −13.5258 | − | 3.62423i | −0.470908 | − | 0.126179i | ||||
\(826\) | 7.43600 | − | 0.984405i | 0.258731 | − | 0.0342518i | ||||
\(827\) | 5.18917 | − | 5.18917i | 0.180445 | − | 0.180445i | −0.611105 | − | 0.791550i | \(-0.709275\pi\) |
0.791550 | + | 0.611105i | \(0.209275\pi\) | |||||||
\(828\) | 1.87839 | + | 3.25346i | 0.0652784 | + | 0.113066i | ||||
\(829\) | 2.19576 | − | 3.80317i | 0.0762620 | − | 0.132090i | −0.825372 | − | 0.564589i | \(-0.809035\pi\) |
0.901634 | + | 0.432499i | \(0.142368\pi\) | |||||||
\(830\) | 3.39548 | + | 12.6721i | 0.117859 | + | 0.439855i | ||||
\(831\) | −18.0852 | −0.627369 | ||||||||
\(832\) | −21.1390 | + | 22.6675i | −0.732863 | + | 0.785855i | ||||
\(833\) | 17.3465 | + | 17.2967i | 0.601021 | + | 0.599295i | ||||
\(834\) | 21.4219 | − | 5.73997i | 0.741779 | − | 0.198759i | ||||
\(835\) | 5.03040 | − | 8.71291i | 0.174084 | − | 0.301523i | ||||
\(836\) | −6.64943 | − | 11.5171i | −0.229975 | − | 0.398329i | ||||
\(837\) | −0.888029 | − | 0.888029i | −0.0306948 | − | 0.0306948i | ||||
\(838\) | 26.3114 | + | 7.05011i | 0.908911 | + | 0.243542i | ||||
\(839\) | −0.0267890 | + | 0.0999778i | −0.000924858 | + | 0.00345162i | −0.966387 | − | 0.257093i | \(-0.917235\pi\) |
0.965462 | + | 0.260544i | \(0.0839021\pi\) | |||||||
\(840\) | 5.84910 | + | 2.41785i | 0.201813 | + | 0.0834238i | ||||
\(841\) | −26.8420 | − | 46.4917i | −0.925587 | − | 1.60316i | ||||
\(842\) | −6.55517 | − | 3.78463i | −0.225906 | − | 0.130427i | ||||
\(843\) | 8.79089 | − | 2.35551i | 0.302774 | − | 0.0811282i | ||||
\(844\) | − | 13.7769i | − | 0.474220i | ||||||
\(845\) | −7.62183 | − | 6.62631i | −0.262199 | − | 0.227952i | ||||
\(846\) | 0.436257i | 0.0149988i | ||||||||
\(847\) | 1.37906 | + | 1.79455i | 0.0473850 | + | 0.0616616i | ||||
\(848\) | 12.9193 | − | 22.3768i | 0.443650 | − | 0.768424i | ||||
\(849\) | 12.7083 | − | 7.33715i | 0.436148 | − | 0.251810i | ||||
\(850\) | −12.5688 | + | 12.5688i | −0.431107 | + | 0.431107i | ||||
\(851\) | 0.853536 | − | 3.18544i | 0.0292588 | − | 0.109195i | ||||
\(852\) | −1.67027 | + | 6.23354i | −0.0572225 | + | 0.213557i | ||||
\(853\) | −30.7045 | − | 30.7045i | −1.05130 | − | 1.05130i | −0.998611 | − | 0.0526924i | \(-0.983220\pi\) |
−0.0526924 | − | 0.998611i | \(-0.516780\pi\) | |||||||
\(854\) | −18.7784 | − | 14.3877i | −0.642583 | − | 0.492338i | ||||
\(855\) | 4.22288 | + | 2.43808i | 0.144419 | + | 0.0833805i | ||||
\(856\) | 7.31756 | + | 27.3095i | 0.250109 | + | 0.933419i | ||||
\(857\) | −46.5367 | −1.58966 | −0.794831 | − | 0.606831i | \(-0.792441\pi\) | ||||
−0.794831 | + | 0.606831i | \(0.792441\pi\) | |||||||
\(858\) | −9.04872 | + | 9.70302i | −0.308918 | + | 0.331255i | ||||
\(859\) | − | 34.8981i | − | 1.19071i | −0.803464 | − | 0.595354i | \(-0.797012\pi\) | ||
0.803464 | − | 0.595354i | \(-0.202988\pi\) | |||||||
\(860\) | −1.02082 | − | 3.80975i | −0.0348097 | − | 0.129912i | ||||
\(861\) | −7.14557 | − | 0.935507i | −0.243520 | − | 0.0318820i | ||||
\(862\) | −28.8046 | + | 16.6303i | −0.981088 | + | 0.566431i | ||||
\(863\) | 33.6057 | + | 33.6057i | 1.14395 | + | 1.14395i | 0.987720 | + | 0.156232i | \(0.0499348\pi\) |
0.156232 | + | 0.987720i | \(0.450065\pi\) | |||||||
\(864\) | 3.46335 | + | 0.928002i | 0.117826 | + | 0.0315713i | ||||
\(865\) | 0.748326 | + | 0.200513i | 0.0254438 | + | 0.00681766i | ||||
\(866\) | −3.13806 | − | 3.13806i | −0.106636 | − | 0.106636i | ||||
\(867\) | −4.11668 | + | 2.37677i | −0.139810 | + | 0.0807193i | ||||
\(868\) | −2.19168 | − | 0.286938i | −0.0743905 | − | 0.00973931i | ||||
\(869\) | 8.91854 | + | 33.2844i | 0.302541 | + | 1.12910i | ||||
\(870\) | 8.16150i | 0.276701i | ||||||||
\(871\) | 22.7559 | + | 12.1003i | 0.771053 | + | 0.410004i | ||||
\(872\) | 7.80207 | 0.264212 | ||||||||
\(873\) | 0.188782 | + | 0.704543i | 0.00638929 | + | 0.0238452i | ||||
\(874\) | −35.4643 | − | 20.4753i | −1.19960 | − | 0.692587i | ||||
\(875\) | 11.7465 | − | 15.3312i | 0.397106 | − | 0.518289i | ||||
\(876\) | 5.13316 | + | 5.13316i | 0.173433 | + | 0.173433i | ||||
\(877\) | 0.133090 | − | 0.496699i | 0.00449413 | − | 0.0167723i | −0.963642 | − | 0.267195i | \(-0.913903\pi\) |
0.968136 | + | 0.250423i | \(0.0805697\pi\) | |||||||
\(878\) | 4.36033 | − | 16.2730i | 0.147154 | − | 0.549186i | ||||
\(879\) | 4.63800 | − | 4.63800i | 0.156436 | − | 0.156436i | ||||
\(880\) | −4.77224 | + | 2.75525i | −0.160872 | + | 0.0928796i | ||||
\(881\) | −18.3777 | + | 31.8310i | −0.619159 | + | 1.07242i | 0.370480 | + | 0.928840i | \(0.379193\pi\) |
−0.989639 | + | 0.143575i | \(0.954140\pi\) | |||||||
\(882\) | 7.00956 | + | 4.03355i | 0.236024 | + | 0.135817i | ||||
\(883\) | − | 25.7950i | − | 0.868071i | −0.900896 | − | 0.434036i | \(-0.857089\pi\) | ||
0.900896 | − | 0.434036i | \(-0.142911\pi\) | |||||||
\(884\) | −2.45386 | − | 8.02701i | −0.0825321 | − | 0.269978i | ||||
\(885\) | 1.90642i | 0.0640835i | ||||||||
\(886\) | −35.9403 | + | 9.63019i | −1.20744 | + | 0.323532i | ||||
\(887\) | 32.5539 | + | 18.7950i | 1.09305 | + | 0.631074i | 0.934388 | − | 0.356258i | \(-0.115948\pi\) |
0.158665 | + | 0.987332i | \(0.449281\pi\) | |||||||
\(888\) | −0.899074 | − | 1.55724i | −0.0301710 | − | 0.0522576i | ||||
\(889\) | 17.0684 | − | 41.2906i | 0.572455 | − | 1.38484i | ||||
\(890\) | 1.68971 | − | 6.30610i | 0.0566393 | − | 0.211381i | ||||
\(891\) | 3.07653 | + | 0.824353i | 0.103068 | + | 0.0276169i | ||||
\(892\) | −10.7650 | − | 10.7650i | −0.360438 | − | 0.360438i | ||||
\(893\) | 1.18503 | + | 2.05254i | 0.0396557 | + | 0.0686856i | ||||
\(894\) | −6.67535 | + | 11.5620i | −0.223257 | + | 0.386693i | ||||
\(895\) | 4.23117 | − | 1.13374i | 0.141432 | − | 0.0378967i | ||||
\(896\) | −6.74571 | + | 2.79985i | −0.225358 | + | 0.0935363i | ||||
\(897\) | 4.58090 | − | 19.8395i | 0.152952 | − | 0.662422i | ||||
\(898\) | 23.1496 | 0.772512 | ||||||||
\(899\) | −2.95562 | − | 11.0305i | −0.0985756 | − | 0.367889i | ||||
\(900\) | 1.46234 | − | 2.53285i | 0.0487447 | − | 0.0844283i | ||||
\(901\) | 20.3014 | + | 35.1631i | 0.676338 | + | 1.17145i | ||||
\(902\) | 7.08732 | − | 7.08732i | 0.235982 | − | 0.235982i | ||||
\(903\) | −2.64990 | − | 20.0168i | −0.0881833 | − | 0.666119i | ||||
\(904\) | 7.46254 | + | 1.99958i | 0.248200 | + | 0.0665051i | ||||
\(905\) | −11.8160 | + | 11.8160i | −0.392777 | + | 0.392777i | ||||
\(906\) | 12.6014 | − | 7.27540i | 0.418652 | − | 0.241709i | ||||
\(907\) | −25.7384 | − | 14.8601i | −0.854631 | − | 0.493421i | 0.00757996 | − | 0.999971i | \(-0.497587\pi\) |
−0.862211 | + | 0.506550i | \(0.830921\pi\) | |||||||
\(908\) | −10.0509 | + | 2.69312i | −0.333550 | + | 0.0893745i | ||||
\(909\) | 11.4264 | 0.378989 | ||||||||
\(910\) | −3.55602 | − | 7.78872i | −0.117881 | − | 0.258194i | ||||
\(911\) | −35.4837 | −1.17563 | −0.587814 | − | 0.808996i | \(-0.700011\pi\) | ||||
−0.587814 | + | 0.808996i | \(0.700011\pi\) | |||||||
\(912\) | −13.5015 | + | 3.61771i | −0.447079 | + | 0.119794i | ||||
\(913\) | 40.3175 | + | 23.2773i | 1.33431 | + | 0.770366i | ||||
\(914\) | −15.0259 | + | 8.67519i | −0.497012 | + | 0.286950i | ||||
\(915\) | 4.25151 | − | 4.25151i | 0.140551 | − | 0.140551i | ||||
\(916\) | 3.28209 | + | 0.879433i | 0.108443 | + | 0.0290573i | ||||
\(917\) | 24.0922 | − | 3.18942i | 0.795596 | − | 0.105324i | ||||
\(918\) | 2.85886 | − | 2.85886i | 0.0943563 | − | 0.0943563i | ||||
\(919\) | 0.276560 | + | 0.479016i | 0.00912288 | + | 0.0158013i | 0.870551 | − | 0.492079i | \(-0.163763\pi\) |
−0.861428 | + | 0.507880i | \(0.830429\pi\) | |||||||
\(920\) | 6.75466 | − | 11.6994i | 0.222694 | − | 0.385718i | ||||
\(921\) | 8.62972 | + | 32.2066i | 0.284359 | + | 1.06124i | ||||
\(922\) | −35.8242 | −1.17981 | ||||||||
\(923\) | 29.6629 | − | 18.5343i | 0.976367 | − | 0.610063i | ||||
\(924\) | 5.17760 | − | 2.14899i | 0.170331 | − | 0.0706967i | ||||
\(925\) | −2.47990 | + | 0.664486i | −0.0815384 | + | 0.0218482i | ||||
\(926\) | −2.95374 | + | 5.11603i | −0.0970659 | + | 0.168123i | ||||
\(927\) | −9.65849 | − | 16.7290i | −0.317226 | − | 0.549452i | ||||
\(928\) | 23.0541 | + | 23.0541i | 0.756788 | + | 0.756788i | ||||
\(929\) | 0.202032 | + | 0.0541344i | 0.00662846 | + | 0.00177609i | 0.262132 | − | 0.965032i | \(-0.415574\pi\) |
−0.255503 | + | 0.966808i | \(0.582241\pi\) | |||||||
\(930\) | −0.291741 | + | 1.08879i | −0.00956657 | + | 0.0357029i | ||||
\(931\) | 43.9357 | − | 0.0631567i | 1.43994 | − | 0.00206988i | ||||
\(932\) | −1.05991 | − | 1.83582i | −0.0347185 | − | 0.0601341i | ||||
\(933\) | −2.51649 | − | 1.45290i | −0.0823861 | − | 0.0475656i | ||||
\(934\) | −19.7273 | + | 5.28590i | −0.645496 | + | 0.172960i | ||||
\(935\) | − | 8.65924i | − | 0.283187i | ||||||
\(936\) | −5.88301 | − | 9.41538i | −0.192292 | − | 0.307751i | ||||
\(937\) | − | 7.20471i | − | 0.235368i | −0.993051 | − | 0.117684i | \(-0.962453\pi\) | ||
0.993051 | − | 0.117684i | \(-0.0375470\pi\) | |||||||
\(938\) | 13.3137 | + | 17.3249i | 0.434707 | + | 0.565678i | ||||
\(939\) | −0.480313 | + | 0.831926i | −0.0156744 | + | 0.0271489i | ||||
\(940\) | −0.169007 | + | 0.0975764i | −0.00551241 | + | 0.00318259i | ||||
\(941\) | −27.6042 | + | 27.6042i | −0.899870 | + | 0.899870i | −0.995424 | − | 0.0955544i | \(-0.969538\pi\) |
0.0955544 | + | 0.995424i | \(0.469538\pi\) | |||||||
\(942\) | 1.64277 | − | 6.13090i | 0.0535244 | − | 0.199756i | ||||
\(943\) | −3.98118 | + | 14.8580i | −0.129645 | + | 0.483842i | ||||
\(944\) | −3.86423 | − | 3.86423i | −0.125770 | − | 0.125770i | ||||
\(945\) | −1.25010 | + | 1.63160i | −0.0406659 | + | 0.0530758i | ||||
\(946\) | 24.3203 | + | 14.0413i | 0.790721 | + | 0.456523i | ||||
\(947\) | 10.3004 | + | 38.4417i | 0.334719 | + | 1.24919i | 0.904174 | + | 0.427164i | \(0.140487\pi\) |
−0.569455 | + | 0.822022i | \(0.692846\pi\) | |||||||
\(948\) | −7.19710 | −0.233751 | ||||||||
\(949\) | −1.37203 | − | 39.3215i | −0.0445380 | − | 1.27643i | ||||
\(950\) | 31.8804i | 1.03434i | ||||||||
\(951\) | 8.68271 | + | 32.4043i | 0.281556 | + | 1.05078i | ||||
\(952\) | 3.70094 | − | 28.2684i | 0.119948 | − | 0.916185i | ||||
\(953\) | 32.2352 | − | 18.6110i | 1.04420 | − | 0.602870i | 0.123181 | − | 0.992384i | \(-0.460690\pi\) |
0.921020 | + | 0.389514i | \(0.127357\pi\) | |||||||
\(954\) | 9.47846 | + | 9.47846i | 0.306877 | + | 0.306877i | ||||
\(955\) | 6.59162 | + | 1.76622i | 0.213300 | + | 0.0571535i | ||||
\(956\) | 1.47140 | + | 0.394261i | 0.0475885 | + | 0.0127513i | ||||
\(957\) | 20.4792 | + | 20.4792i | 0.661998 | + | 0.661998i | ||||
\(958\) | 19.8135 | − | 11.4393i | 0.640145 | − | 0.369588i | ||||
\(959\) | −2.16264 | + | 16.5186i | −0.0698352 | + | 0.533414i | ||||
\(960\) | −1.72850 | − | 6.45086i | −0.0557872 | − | 0.208200i | ||||
\(961\) | 29.4228i | 0.949123i | ||||||||
\(962\) | −0.547271 | + | 2.37019i | −0.0176447 | + | 0.0764179i | ||||
\(963\) | −9.18189 | −0.295882 | ||||||||
\(964\) | 1.09260 | + | 4.07764i | 0.0351903 | + | 0.131332i | ||||
\(965\) | −0.648047 | − | 0.374150i | −0.0208614 | − | 0.0120443i | ||||
\(966\) | 10.4985 | − | 13.7023i | 0.337785 | − | 0.440866i | ||||
\(967\) | 3.64583 | + | 3.64583i | 0.117242 | + | 0.117242i | 0.763294 | − | 0.646052i | \(-0.223581\pi\) |
−0.646052 | + | 0.763294i | \(0.723581\pi\) | |||||||
\(968\) | 0.681733 | − | 2.54426i | 0.0219117 | − | 0.0817757i | ||||
\(969\) | 5.68489 | − | 21.2163i | 0.182625 | − | 0.681566i | ||||
\(970\) | 0.462922 | − | 0.462922i | 0.0148635 | − | 0.0148635i | ||||
\(971\) | 25.7260 | − | 14.8529i | 0.825587 | − | 0.476653i | −0.0267525 | − | 0.999642i | \(-0.508517\pi\) |
0.852339 | + | 0.522989i | \(0.175183\pi\) | |||||||
\(972\) | −0.332619 | + | 0.576113i | −0.0106688 | + | 0.0184788i | ||||
\(973\) | 30.9467 | + | 40.2705i | 0.992105 | + | 1.29101i | ||||
\(974\) | 45.2142i | 1.44876i | ||||||||
\(975\) | −15.1591 | + | 4.63414i | −0.485480 | + | 0.148411i | ||||
\(976\) | 17.2353i | 0.551687i | ||||||||
\(977\) | 44.1801 | − | 11.8380i | 1.41345 | − | 0.378732i | 0.530293 | − | 0.847815i | \(-0.322082\pi\) |
0.883154 | + | 0.469083i | \(0.155415\pi\) | |||||||
\(978\) | 10.6654 | + | 6.15766i | 0.341041 | + | 0.196900i | ||||
\(979\) | −11.5836 | − | 20.0634i | −0.370214 | − | 0.641230i | ||||
\(980\) | 0.00520036 | + | 3.61769i | 0.000166119 | + | 0.115563i | ||||
\(981\) | −0.655795 | + | 2.44746i | −0.0209379 | + | 0.0781414i | ||||
\(982\) | −20.7096 | − | 5.54912i | −0.660870 | − | 0.177080i | ||||
\(983\) | 36.4493 | + | 36.4493i | 1.16255 | + | 1.16255i | 0.983915 | + | 0.178637i | \(0.0571687\pi\) |
0.178637 | + | 0.983915i | \(0.442831\pi\) | |||||||
\(984\) | 4.19359 | + | 7.26351i | 0.133687 | + | 0.231552i | ||||
\(985\) | 6.68886 | − | 11.5854i | 0.213125 | − | 0.369143i | ||||
\(986\) | 35.5109 | − | 9.51512i | 1.13090 | − | 0.303023i | ||||
\(987\) | −0.922732 | + | 0.382985i | −0.0293709 | + | 0.0121906i | ||||
\(988\) | −13.2922 | − | 7.06807i | −0.422882 | − | 0.224865i | ||||
\(989\) | −43.0980 | −1.37044 | ||||||||
\(990\) | −0.739899 | − | 2.76134i | −0.0235155 | − | 0.0877612i | ||||
\(991\) | −1.36323 | + | 2.36118i | −0.0433043 | + | 0.0750052i | −0.886865 | − | 0.462028i | \(-0.847122\pi\) |
0.843561 | + | 0.537034i | \(0.180455\pi\) | |||||||
\(992\) | 2.25146 | + | 3.89965i | 0.0714840 | + | 0.123814i | ||||
\(993\) | −8.94519 | + | 8.94519i | −0.283867 | + | 0.283867i | ||||
\(994\) | 29.3963 | − | 3.89159i | 0.932393 | − | 0.123434i | ||||
\(995\) | −1.68926 | − | 0.452636i | −0.0535532 | − | 0.0143495i | ||||
\(996\) | −6.87555 | + | 6.87555i | −0.217860 | + | 0.217860i | ||||
\(997\) | 9.41930 | − | 5.43824i | 0.298312 | − | 0.172231i | −0.343372 | − | 0.939199i | \(-0.611569\pi\) |
0.641684 | + | 0.766969i | \(0.278236\pi\) | |||||||
\(998\) | −5.01414 | − | 2.89492i | −0.158720 | − | 0.0916370i | ||||
\(999\) | 0.564068 | − | 0.151142i | 0.0178463 | − | 0.00478191i |
(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 | 273.2.by.c.202.4 | ✓ | 32 | |
3.2 | odd | 2 | 819.2.fm.f.748.5 | 32 | |||
7.6 | odd | 2 | 273.2.by.d.202.4 | yes | 32 | ||
13.2 | odd | 12 | 273.2.by.d.223.4 | yes | 32 | ||
21.20 | even | 2 | 819.2.fm.e.748.5 | 32 | |||
39.2 | even | 12 | 819.2.fm.e.496.5 | 32 | |||
91.41 | even | 12 | inner | 273.2.by.c.223.4 | yes | 32 | |
273.41 | odd | 12 | 819.2.fm.f.496.5 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.by.c.202.4 | ✓ | 32 | 1.1 | even | 1 | trivial | |
273.2.by.c.223.4 | yes | 32 | 91.41 | even | 12 | inner | |
273.2.by.d.202.4 | yes | 32 | 7.6 | odd | 2 | ||
273.2.by.d.223.4 | yes | 32 | 13.2 | odd | 12 | ||
819.2.fm.e.496.5 | 32 | 39.2 | even | 12 | |||
819.2.fm.e.748.5 | 32 | 21.20 | even | 2 | |||
819.2.fm.f.496.5 | 32 | 273.41 | odd | 12 | |||
819.2.fm.f.748.5 | 32 | 3.2 | odd | 2 |