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.d.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 | −0.573519 | − | 0.819192i | \(-0.694422\pi\) |
0.819192 | + | 0.573519i | \(0.194422\pi\) | |||||||
\(6\) | −1.11595 | − | 0.299019i | −0.455586 | − | 0.122074i | ||||
\(7\) | 1.61214 | − | 2.09786i | 0.609331 | − | 0.792916i | ||||
\(8\) | 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 | 0.996362 | − | 0.0852225i | \(-0.0271601\pi\) |
−0.571986 | + | 0.820263i | \(0.693827\pi\) | |||||||
\(18\) | −0.816934 | − | 0.816934i | −0.192553 | − | 0.192553i | ||||
\(19\) | 6.06267 | + | 1.62449i | 1.39087 | + | 0.372683i | 0.875058 | − | 0.484017i | \(-0.160823\pi\) |
0.515814 | + | 0.856701i | \(0.327490\pi\) | |||||||
\(20\) | −0.133761 | + | 0.499204i | −0.0299099 | + | 0.111625i | ||||
\(21\) | 2.44508 | − | 1.01073i | 0.533561 | − | 0.220559i | ||||
\(22\) | 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 | ||||||||
\(28\) | −0.230987 | + | 1.74483i | −0.0436525 | + | 0.329742i | ||||
\(29\) | 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 | −0.782343 | − | 0.622848i | \(-0.785975\pi\) |
0.622848 | + | 0.782343i | \(0.285975\pi\) | |||||||
\(32\) | −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 | ||||
\(35\) | −0.266825 | − | 2.03806i | −0.0451017 | − | 0.344494i | ||||
\(36\) | −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 | 0.998874 | − | 0.0474499i | \(-0.0151095\pi\) |
−0.888775 | + | 0.458344i | \(0.848443\pi\) | |||||||
\(42\) | −2.42637 | + | 1.85905i | −0.374397 | + | 0.286858i | ||||
\(43\) | 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 | 0.726312 | − | 0.687365i | \(-0.241233\pi\) |
−0.687365 | + | 0.726312i | \(0.741233\pi\) | |||||||
\(48\) | −1.92862 | + | 1.11349i | −0.278373 | + | 0.160719i | ||||
\(49\) | −1.80201 | − | 6.76408i | −0.257430 | − | 0.966297i | ||||
\(50\) | −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 | ||||
\(56\) | −1.05756 | − | 8.07786i | −0.141323 | − | 1.07945i | ||||
\(57\) | 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 | −0.912180 | − | 0.409790i | \(-0.865602\pi\) |
0.994866 | + | 0.101202i | \(0.0322688\pi\) | |||||||
\(60\) | −0.365443 | + | 0.365443i | −0.0471784 | + | 0.0471784i | ||||
\(61\) | −6.70242 | + | 3.86964i | −0.858157 | + | 0.495457i | −0.863395 | − | 0.504529i | \(-0.831666\pi\) |
0.00523788 | + | 0.999986i | \(0.498333\pi\) | |||||||
\(62\) | 0.725461 | − | 1.25654i | 0.0921337 | − | 0.159580i | ||||
\(63\) | 2.62287 | + | 0.347225i | 0.330450 | + | 0.0437462i | ||||
\(64\) | − | 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 | ||||
\(70\) | 0.907181 | + | 2.19459i | 0.108429 | + | 0.262303i | ||||
\(71\) | −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 | 0.0925826 | − | 0.995705i | \(-0.470488\pi\) |
−0.995705 | + | 0.0925826i | \(0.970488\pi\) | |||||||
\(74\) | −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 | \(-0.453669\pi\) |
0.989426 | − | 0.145040i | \(-0.0463311\pi\) | |||||||
\(84\) | −1.07246 | + | 1.39557i | −0.117015 | + | 0.152270i | ||||
\(85\) | 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 | −0.611185 | − | 0.791488i | \(-0.709307\pi\) |
−0.133558 | + | 0.991041i | \(0.542640\pi\) | |||||||
\(90\) | −0.897552 | −0.0946102 | ||||||||
\(91\) | 9.40974 | − | 1.56743i | 0.986409 | − | 0.164311i | ||||
\(92\) | 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 | 0.222874 | − | 0.974847i | \(-0.428456\pi\) |
−0.294409 | + | 0.955679i | \(0.595123\pi\) | |||||||
\(98\) | 4.03355 | + | 7.00956i | 0.407450 | + | 0.708072i | ||||
\(99\) | 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 | \(0.359137\pi\) |
−0.996716 | + | 0.0809746i | \(0.974197\pi\) | |||||||
\(102\) | −1.04641 | − | 3.90527i | −0.103610 | − | 0.386679i | ||||
\(103\) | 19.3170 | 1.90336 | 0.951679 | − | 0.307094i | \(-0.0993568\pi\) | ||||
0.951679 | + | 0.307094i | \(0.0993568\pi\) | |||||||
\(104\) | 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 | ||||
\(112\) | 2.25088 | + | 5.44516i | 0.212688 | + | 0.514519i | ||||
\(113\) | 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 | ||||||||
\(119\) | 9.17871 | + | 1.21511i | 0.841411 | + | 0.111389i | ||||
\(120\) | 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 | ||||
\(126\) | −3.03082 | + | 0.396799i | −0.270007 | + | 0.0353497i | ||||
\(127\) | −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 | \(0.131431\pi\) | ||||
−0.915960 | + | 0.401269i | \(0.868569\pi\) | |||||||
\(132\) | 0.548391 | + | 2.04662i | 0.0477313 | + | 0.178136i | ||||
\(133\) | 13.1818 | − | 10.0997i | 1.14301 | − | 0.875757i | ||||
\(134\) | 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 | −0.995393 | − | 0.0958840i | \(-0.969432\pi\) |
−0.414658 | + | 0.909977i | \(0.636099\pi\) | |||||||
\(140\) | 0.831617 | + | 1.08540i | 0.0702844 | + | 0.0917329i | ||||
\(141\) | 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 | ||||
\(147\) | 1.82145 | − | 6.75887i | 0.150231 | − | 0.557462i | ||||
\(148\) | −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 | ||||
\(154\) | 9.65151 | + | 1.27770i | 0.777741 | + | 0.102960i | ||||
\(155\) | 0.975662i | 0.0783671i | ||||||||
\(156\) | −1.75414 | − | 1.63586i | −0.140444 | − | 0.130973i | ||||
\(157\) | 5.49387i | 0.438459i | 0.975673 | + | 0.219229i | \(0.0703543\pi\) | ||||
−0.975673 | + | 0.219229i | \(0.929646\pi\) | |||||||
\(158\) | 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 | ||||
\(161\) | −13.8080 | + | 5.70785i | −1.08822 | + | 0.449841i | ||||
\(162\) | 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 | 0.259998 | − | 0.965609i | \(-0.416278\pi\) |
0.707969 | + | 0.706243i | \(0.249611\pi\) | |||||||
\(168\) | 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 | 0.884357 | − | 0.466811i | \(-0.154597\pi\) |
−0.846449 | + | 0.532470i | \(0.821264\pi\) | |||||||
\(174\) | −7.42844 | + | 7.42844i | −0.563149 | + | 0.563149i | ||||
\(175\) | 9.22312 | + | 7.08769i | 0.697202 | + | 0.535779i | ||||
\(176\) | 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 | \(-0.794844\pi\) | ||||
−0.799390 | + | 0.600813i | \(0.794844\pi\) | |||||||
\(182\) | −10.0321 | + | 4.56286i | −0.743631 | + | 0.338222i | ||||
\(183\) | −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 | ||||
\(189\) | 2.09786 | + | 1.61214i | 0.152597 | + | 0.117266i | ||||
\(190\) | −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 | 0.823370 | − | 0.567505i | \(-0.192091\pi\) |
−0.903159 | + | 0.429307i | \(0.858758\pi\) | |||||||
\(200\) | 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 | ||||
\(203\) | −9.19063 | − | 22.2333i | −0.645056 | − | 1.56047i | ||||
\(204\) | −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 | ||||||
\(210\) | −0.311652 | + | 2.35416i | −0.0215061 | + | 0.162452i | ||||
\(211\) | −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 | ||||
\(217\) | 0.431332 | + | 3.29459i | 0.0292807 | + | 0.223651i | ||||
\(218\) | −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 | \(-0.805455\pi\) |
0.422333 | − | 0.906441i | \(-0.361211\pi\) | |||||||
\(224\) | 5.76954 | + | 7.53022i | 0.385494 | + | 0.503134i | ||||
\(225\) | −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 | −0.280182 | − | 0.959947i | \(-0.590395\pi\) |
−0.722618 | + | 0.691248i | \(0.757061\pi\) | |||||||
\(228\) | −4.03312 | − | 1.08067i | −0.267100 | − | 0.0715692i | ||||
\(229\) | 3.61172 | + | 3.61172i | 0.238669 | + | 0.238669i | 0.816299 | − | 0.577630i | \(-0.196022\pi\) |
−0.577630 | + | 0.816299i | \(0.696022\pi\) | |||||||
\(230\) | 4.38963 | − | 2.53435i | 0.289444 | − | 0.167110i | ||||
\(231\) | −5.12514 | − | 6.68917i | −0.337210 | − | 0.440115i | ||||
\(232\) | −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 | ||||
\(238\) | −10.6063 | + | 1.38860i | −0.687508 | + | 0.0900094i | ||||
\(239\) | −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 | −0.998434 | − | 0.0559344i | \(-0.982186\pi\) |
0.892637 | + | 0.450777i | \(0.148853\pi\) | |||||||
\(242\) | −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 | ||||
\(245\) | −4.70571 | − | 2.72587i | −0.300637 | − | 0.174149i | ||||
\(246\) | − | 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 | \(0.0701868\pi\) |
−0.298481 | + | 0.954416i | \(0.596480\pi\) | |||||||
\(252\) | −1.62656 | + | 0.672374i | −0.102464 | + | 0.0423556i | ||||
\(253\) | −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 | \(0.512667\pi\) |
−0.845447 | + | 0.534059i | \(0.820666\pi\) | |||||||
\(258\) | −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 | ||||
\(266\) | −11.6903 | + | 15.2124i | −0.716777 | + | 0.932733i | ||||
\(267\) | −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 | −0.318531 | − | 0.947912i | \(-0.603190\pi\) |
0.661651 | + | 0.749812i | \(0.269856\pi\) | |||||||
\(270\) | −0.777302 | − | 0.448776i | −0.0473051 | − | 0.0273116i | ||||
\(271\) | −6.14616 | + | 1.64686i | −0.373353 | + | 0.100040i | −0.440616 | − | 0.897696i | \(-0.645240\pi\) |
0.0672633 | + | 0.997735i | \(0.478573\pi\) | |||||||
\(272\) | −7.79332 | −0.472539 | ||||||||
\(273\) | 8.93279 | + | 3.34744i | 0.540637 | + | 0.202596i | ||||
\(274\) | −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 | ||||
\(280\) | −5.01847 | − | 3.85654i | −0.299911 | − | 0.230472i | ||||
\(281\) | −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 | −0.561240 | − | 0.827653i | \(-0.689676\pi\) |
0.997389 | + | 0.0722219i | \(0.0230090\pi\) | |||||||
\(284\) | −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 | −0.898443 | − | 0.439090i | \(-0.855301\pi\) |
0.997620 | + | 0.0689587i | \(0.0219677\pi\) | |||||||
\(294\) | −0.0116252 | + | 8.08723i | −0.000677996 | + | 0.471657i | ||||
\(295\) | −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 | ||||||
\(301\) | 2.64990 | − | 20.0168i | 0.152738 | − | 1.15375i | ||||
\(302\) | −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 | \(0.150441\pi\) |
0.455225 | + | 0.890377i | \(0.349559\pi\) | |||||||
\(308\) | 5.55843 | − | 0.727718i | 0.316721 | − | 0.0414656i | ||||
\(309\) | 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 | \(-0.526254\pi\) | ||||
−0.0823861 | + | 0.996600i | \(0.526254\pi\) | |||||||
\(312\) | 9.80253 | + | 5.21245i | 0.554959 | + | 0.295097i | ||||
\(313\) | 0.960626i | 0.0542978i | 0.999631 | + | 0.0271489i | \(0.00864282\pi\) | ||||
−0.999631 | + | 0.0271489i | \(0.991357\pi\) | |||||||
\(314\) | −1.64277 | − | 6.13090i | −0.0927069 | − | 0.345987i | ||||
\(315\) | 1.63160 | − | 1.25010i | 0.0919300 | − | 0.0704354i | ||||
\(316\) | 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 | ||||
\(322\) | 13.7023 | − | 10.4985i | 0.763602 | − | 0.585061i | ||||
\(323\) | 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 | ||||
\(329\) | 0.990602 | − | 0.129691i | 0.0546137 | − | 0.00715010i | ||||
\(330\) | 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 | ||||
\(336\) | −0.773265 | + | 5.84108i | −0.0421850 | + | 0.318657i | ||||
\(337\) | 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 | ||||
\(343\) | −17.0952 | − | 7.12427i | −0.923052 | − | 0.384675i | ||||
\(344\) | 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 | −0.380506 | − | 0.924779i | \(-0.624250\pi\) |
0.132862 | + | 0.991135i | \(0.457583\pi\) | |||||||
\(350\) | −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 | \(0.0233457\pi\) |
−0.827059 | + | 0.562116i | \(0.809988\pi\) | |||||||
\(354\) | −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 | ||||
\(357\) | 7.34144 | + | 5.64167i | 0.388550 | + | 0.298589i | ||||
\(358\) | 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 | ||||||||
\(364\) | −4.89971 | + | 4.03287i | −0.256815 | + | 0.211380i | ||||
\(365\) | −8.47775 | −0.443746 | ||||||||
\(366\) | 8.63668 | − | 2.31419i | 0.451446 | − | 0.120965i | ||||
\(367\) | −5.05707 | − | 2.91970i | −0.263977 | − | 0.152407i | 0.362170 | − | 0.932112i | \(-0.382036\pi\) |
−0.626147 | + | 0.779705i | \(0.715369\pi\) | |||||||
\(368\) | 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 | ||||
\(371\) | −18.7048 | + | 24.3404i | −0.971106 | + | 1.26369i | ||||
\(372\) | 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 | 0.436604 | − | 0.899654i | \(-0.356181\pi\) |
−0.0717170 | + | 0.997425i | \(0.522848\pi\) | |||||||
\(384\) | −0.714478 | + | 2.66647i | −0.0364605 | + | 0.136073i | ||||
\(385\) | −6.05017 | + | 2.50097i | −0.308345 | + | 0.127461i | ||||
\(386\) | −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 | ||||||
\(392\) | −18.6511 | − | 10.8040i | −0.942025 | − | 0.545686i | ||||
\(393\) | −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 | \(-0.666252\pi\) |
0.865373 | − | 0.501128i | \(-0.167081\pi\) | |||||||
\(398\) | 1.83900 | + | 1.83900i | 0.0921810 | + | 0.0921810i | ||||
\(399\) | 16.4657 | − | 2.15571i | 0.824314 | − | 0.107920i | ||||
\(400\) | −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 | ||||
\(406\) | 16.9045 | + | 22.0632i | 0.838955 | + | 1.09498i | ||||
\(407\) | 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 | 0.914163 | − | 0.405348i | \(-0.132850\pi\) |
0.589014 | + | 0.808123i | \(0.299516\pi\) | |||||||
\(410\) | −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 | ||||
\(413\) | −3.94866 | − | 5.15366i | −0.194301 | − | 0.253595i | ||||
\(414\) | 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 | 0.907513 | − | 0.420023i | \(-0.137978\pi\) |
0.0900058 | + | 0.995941i | \(0.471311\pi\) | |||||||
\(420\) | 0.177502 | + | 1.35579i | 0.00866121 | + | 0.0661558i | ||||
\(421\) | 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 | ||||
\(427\) | −2.68727 | + | 20.2991i | −0.130046 | + | 0.982343i | ||||
\(428\) | − | 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 | 0.816179 | − | 0.577800i | \(-0.196088\pi\) |
−0.908478 | + | 0.417932i | \(0.862755\pi\) | |||||||
\(434\) | −1.46649 | − | 3.54763i | −0.0703937 | − | 0.170291i | ||||
\(435\) | 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 | −0.637907 | − | 0.770113i | \(-0.720200\pi\) |
0.985891 | + | 0.167388i | \(0.0535331\pi\) | |||||||
\(440\) | −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 | ||||
\(448\) | −18.0340 | − | 13.8586i | −0.852027 | − | 0.654756i | ||||
\(449\) | −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 | ||||||||
\(455\) | 4.30811 | − | 6.03021i | 0.201967 | − | 0.282701i | ||||
\(456\) | 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 | −0.518441 | − | 0.855113i | \(-0.673488\pi\) |
−0.876540 | + | 0.481329i | \(0.840154\pi\) | |||||||
\(462\) | 7.71960 | + | 5.93228i | 0.359148 | + | 0.275995i | ||||
\(463\) | 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 | \(-0.634125\pi\) | ||||
−0.409009 | + | 0.912530i | \(0.634125\pi\) | |||||||
\(468\) | −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 | ||||
\(476\) | −5.69214 | + | 2.35297i | −0.260899 | + | 0.107848i | ||||
\(477\) | −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 | 0.206176 | − | 0.978515i | \(-0.433898\pi\) |
0.667811 | + | 0.744331i | \(0.267231\pi\) | |||||||
\(480\) | 2.78554i | 0.127142i | ||||||||
\(481\) | −0.988534 | + | 1.85904i | −0.0450733 | + | 0.0847647i | ||||
\(482\) | − | 7.33146i | − | 0.333939i | ||||||
\(483\) | −14.8120 | − | 1.96087i | −0.673970 | − | 0.0892227i | ||||
\(484\) | −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 | ||||
\(490\) | 6.06643 | + | 1.63485i | 0.274054 | + | 0.0738548i | ||||
\(491\) | 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 | ||||
\(497\) | 15.6100 | + | 20.3737i | 0.700204 | + | 0.913883i | ||||
\(498\) | −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 | −0.565056 | − | 0.825053i | \(-0.691145\pi\) |
0.431989 | + | 0.901879i | \(0.357812\pi\) | |||||||
\(504\) | 6.46685 | − | 4.95481i | 0.288056 | − | 0.220705i | ||||
\(505\) | 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 | \(0.154472\pi\) |
−0.532803 | + | 0.846239i | \(0.678862\pi\) | |||||||
\(510\) | −2.72017 | − | 1.57049i | −0.120451 | − | 0.0695424i | ||||
\(511\) | −28.6274 | + | 3.74794i | −1.26640 | + | 0.165799i | ||||
\(512\) | −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 | ||||
\(518\) | −1.76956 | − | 0.234261i | −0.0777501 | − | 0.0102929i | ||||
\(519\) | 0.997217i | 0.0437729i | ||||||||
\(520\) | 5.88252 | − | 6.30787i | 0.257966 | − | 0.276619i | ||||
\(521\) | 13.0906i | 0.573510i | 0.958004 | + | 0.286755i | \(0.0925766\pi\) | ||||
−0.958004 | + | 0.286755i | \(0.907423\pi\) | |||||||
\(522\) | −10.1474 | + | 2.71900i | −0.444141 | + | 0.119007i | ||||
\(523\) | −29.9435 | − | 17.2879i | −1.30934 | − | 0.755946i | −0.327351 | − | 0.944903i | \(-0.606156\pi\) |
−0.981985 | + | 0.188957i | \(0.939489\pi\) | |||||||
\(524\) | −3.05526 | − | 5.29186i | −0.133469 | − | 0.231176i | ||||
\(525\) | 4.44361 | + | 10.7497i | 0.193935 | + | 0.469154i | ||||
\(526\) | −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 | ||||
\(539\) | −19.3244 | + | 11.1199i | −0.832360 | + | 0.478969i | ||||
\(540\) | −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 | ||||||||
\(546\) | −10.9695 | − | 1.06451i | −0.469452 | − | 0.0455570i | ||||
\(547\) | −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 | ||||
\(553\) | −17.4415 | + | 22.6964i | −0.741687 | + | 0.965148i | ||||
\(554\) | −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 | 0.842181 | − | 0.539195i | \(-0.181271\pi\) |
−0.888047 | + | 0.459753i | \(0.847938\pi\) | |||||||
\(564\) | −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 | ||||
\(567\) | 1.01073 | + | 2.44508i | 0.0424466 | + | 0.102684i | ||||
\(568\) | 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 | ||||||
\(574\) | −8.25385 | − | 1.09268i | −0.344509 | − | 0.0456074i | ||||
\(575\) | 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 | −0.683727 | − | 0.729738i | \(-0.739642\pi\) |
0.729738 | + | 0.683727i | \(0.239642\pi\) | |||||||
\(578\) | −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 | ||||
\(581\) | −5.02013 | − | 38.3446i | −0.208270 | − | 1.59080i | ||||
\(582\) | 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 | \(-0.907787\pi\) |
0.687108 | − | 0.726556i | \(-0.258880\pi\) | |||||||
\(588\) | 1.19877 | + | 4.49972i | 0.0494363 | + | 0.185565i | ||||
\(589\) | −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 | 0.370981 | − | 0.928641i | \(-0.379022\pi\) |
−0.928641 | + | 0.370981i | \(0.879022\pi\) | |||||||
\(594\) | −3.18676 | + | 1.83988i | −0.130754 | + | 0.0754911i | ||||
\(595\) | 5.70976 | − | 4.37474i | 0.234077 | − | 0.179347i | ||||
\(596\) | −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 | 0.0289030 | − | 0.999582i | \(-0.490799\pi\) |
−0.851212 | + | 0.524822i | \(0.824132\pi\) | |||||||
\(602\) | 3.02824 | + | 23.1302i | 0.123422 | + | 0.942717i | ||||
\(603\) | −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 | −0.673040 | − | 0.739607i | \(-0.735012\pi\) |
0.303998 | + | 0.952673i | \(0.401678\pi\) | |||||||
\(608\) | −11.2523 | + | 19.4896i | −0.456343 | + | 0.790409i | ||||
\(609\) | 3.15734 | − | 23.8499i | 0.127942 | − | 0.966448i | ||||
\(610\) | − | 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 | ||||
\(616\) | −23.9800 | + | 9.91264i | −0.966180 | + | 0.399392i | ||||
\(617\) | 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 | 0.659108 | − | 0.752048i | \(-0.270934\pi\) |
−0.752048 | + | 0.659108i | \(0.770934\pi\) | |||||||
\(620\) | −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 | ||||
\(630\) | −1.44698 | + | 1.88294i | −0.0576490 | + | 0.0750179i | ||||
\(631\) | 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 | ||||||||
\(637\) | 11.8816 | − | 22.2672i | 0.470765 | − | 0.882259i | ||||
\(638\) | 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 | −0.527120 | − | 0.849791i | \(-0.676728\pi\) |
−0.881395 | + | 0.472380i | \(0.843395\pi\) | |||||||
\(644\) | 6.05644 | − | 7.88117i | 0.238657 | − | 0.310562i | ||||
\(645\) | 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 | \(-0.439428\pi\) |
0.755819 | − | 0.654780i | \(-0.227239\pi\) | |||||||
\(648\) | 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 | ||||
\(658\) | −1.06669 | + | 0.440938i | −0.0415837 | + | 0.0171895i | ||||
\(659\) | 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 | 0.176537 | − | 0.984294i | \(-0.443510\pi\) |
0.645033 | + | 0.764155i | \(0.276844\pi\) | |||||||
\(662\) | 14.6153i | 0.568038i | ||||||||
\(663\) | −8.60545 | + | 9.22769i | −0.334208 | + | 0.358374i | ||||
\(664\) | − | 45.0073i | − | 1.74662i | ||||||
\(665\) | 1.69312 | − | 12.7895i | 0.0656565 | − | 0.495956i | ||||
\(666\) | 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 | ||||
\(672\) | 1.23146 | + | 9.40613i | 0.0475047 | + | 0.362849i | ||||
\(673\) | −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 | \(0.201237\pi\) | ||||
−0.806726 | + | 0.590926i | \(0.798763\pi\) | |||||||
\(678\) | −0.750245 | − | 2.79995i | −0.0288130 | − | 0.107532i | ||||
\(679\) | −1.53186 | + | 1.17369i | −0.0587873 | + | 0.0450420i | ||||
\(680\) | 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 | ||||
\(686\) | 21.2077 | + | 2.83858i | 0.809713 | + | 0.108377i | ||||
\(687\) | 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 | \(0.300101\pi\) |
−0.104212 | + | 0.994555i | \(0.533232\pi\) | |||||||
\(692\) | −0.574509 | − | 0.331693i | −0.0218396 | − | 0.0126091i | ||||
\(693\) | −1.09392 | − | 8.35556i | −0.0415546 | − | 0.317401i | ||||
\(694\) | 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 | ||||
\(700\) | −7.67105 | − | 1.01552i | −0.289939 | − | 0.0383832i | ||||
\(701\) | 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 | ||||
\(707\) | 11.5490 | + | 27.9385i | 0.434344 | + | 1.05073i | ||||
\(708\) | −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 | 0.961415 | − | 0.275103i | \(-0.0887121\pi\) |
−0.718954 | + | 0.695058i | \(0.755379\pi\) | |||||||
\(720\) | −1.22337 | + | 1.22337i | −0.0455925 | + | 0.0455925i | ||||
\(721\) | 31.1417 | − | 40.5243i | 1.15978 | − | 1.50920i | ||||
\(722\) | −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 | \(-0.446051\pi\) | ||||
0.168677 | + | 0.985671i | \(0.446051\pi\) | |||||||
\(728\) | 17.0752 | − | 23.9008i | 0.632851 | − | 0.885824i | ||||
\(729\) | −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 | −0.0899161 | − | 0.995949i | \(-0.528660\pi\) |
0.995949 | + | 0.0899161i | \(0.0286599\pi\) | |||||||
\(734\) | 6.51649 | + | 1.74609i | 0.240528 | + | 0.0644493i | ||||
\(735\) | −2.71233 | − | 4.71353i | −0.100046 | − | 0.173861i | ||||
\(736\) | 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 | ||||
\(749\) | 9.28039 | + | 22.4505i | 0.339098 | + | 0.820322i | ||||
\(750\) | −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 | ||||||
\(756\) | −1.74483 | − | 0.230987i | −0.0634589 | − | 0.00840092i | ||||
\(757\) | 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 | \(-0.649965\pi\) |
0.838611 | − | 0.544731i | \(-0.183368\pi\) | |||||||
\(762\) | 13.7957 | + | 13.7957i | 0.499767 | + | 0.499767i | ||||
\(763\) | 6.64708 | − | 0.870244i | 0.240640 | − | 0.0315050i | ||||
\(764\) | 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 | 0.949189 | − | 0.314707i | \(-0.101906\pi\) |
−0.979375 | + | 0.202050i | \(0.935240\pi\) | |||||||
\(770\) | 6.00387 | − | 4.60008i | 0.216365 | − | 0.165775i | ||||
\(771\) | −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 | 0.606063 | − | 0.795417i | \(-0.292748\pi\) |
0.127158 | + | 0.991882i | \(0.459415\pi\) | |||||||
\(774\) | −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 | ||||
\(777\) | 0.939673 | + | 1.22643i | 0.0337106 | + | 0.0439979i | ||||
\(778\) | −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 | ||||
\(784\) | 15.0519 | + | 4.05634i | 0.537568 | + | 0.144869i | ||||
\(785\) | 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 | \(0.414733\pi\) |
−0.711389 | + | 0.702798i | \(0.751934\pi\) | |||||||
\(788\) | 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 | ||||
\(791\) | 6.58084 | + | 0.871197i | 0.233988 | + | 0.0309762i | ||||
\(792\) | − | 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 | \(0.135437\pi\) |
−0.0979535 | + | 0.995191i | \(0.531230\pi\) | |||||||
\(798\) | −17.7303 | + | 7.32920i | −0.627646 | + | 0.259451i | ||||
\(799\) | −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 | −0.927186 | − | 0.374602i | \(-0.877779\pi\) |
0.374602 | + | 0.927186i | \(0.377779\pi\) | |||||||
\(812\) | 12.6901 | + | 9.75192i | 0.445334 | + | 0.342225i | ||||
\(813\) | −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 | ||||||||
\(819\) | 6.06230 | + | 7.36536i | 0.211834 | + | 0.257366i | ||||
\(820\) | −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 | ||||
\(826\) | 5.94756 | + | 4.57052i | 0.206942 | + | 0.159029i | ||||
\(827\) | 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 | −0.901634 | − | 0.432499i | \(-0.857632\pi\) |
0.825372 | + | 0.564589i | \(0.190965\pi\) | |||||||
\(830\) | 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 | −0.965462 | − | 0.260544i | \(-0.916098\pi\) |
0.966387 | + | 0.257093i | \(0.0827646\pi\) | |||||||
\(840\) | −2.41785 | − | 5.84910i | −0.0834238 | − | 0.201813i | ||||
\(841\) | −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 | ||||||
\(847\) | 0.297024 | − | 2.24366i | 0.0102059 | − | 0.0770930i | ||||
\(848\) | 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 | \(0.0167803\pi\) |
0.0526924 | + | 0.998611i | \(0.483220\pi\) | |||||||
\(854\) | −3.07094 | − | 23.4564i | −0.105086 | − | 0.802662i | ||||
\(855\) | 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 | \(-0.207559\pi\) | ||||
0.794831 | + | 0.606831i | \(0.207559\pi\) | |||||||
\(858\) | −9.04872 | + | 9.70302i | −0.308918 | + | 0.331255i | ||||
\(859\) | 34.8981i | 1.19071i | 0.803464 | + | 0.595354i | \(0.202988\pi\) | ||||
−0.803464 | + | 0.595354i | \(0.797012\pi\) | |||||||
\(860\) | 1.02082 | + | 3.80975i | 0.0348097 | + | 0.129912i | ||||
\(861\) | 4.38296 | + | 5.72049i | 0.149371 | + | 0.194954i | ||||
\(862\) | −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 | ||||
\(868\) | −1.34434 | − | 1.75458i | −0.0456298 | − | 0.0595544i | ||||
\(869\) | 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 | ||||
\(875\) | 19.1505 | − | 2.50721i | 0.647404 | − | 0.0847591i | ||||
\(876\) | 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 | \(-0.620807\pi\) |
0.989639 | − | 0.143575i | \(-0.0458597\pi\) | |||||||
\(882\) | −4.05368 | + | 6.99793i | −0.136495 | + | 0.235633i | ||||
\(883\) | − | 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 | −0.158665 | − | 0.987332i | \(-0.550719\pi\) |
−0.934388 | + | 0.356258i | \(0.884052\pi\) | |||||||
\(888\) | 0.899074 | + | 1.55724i | 0.0301710 | + | 0.0522576i | ||||
\(889\) | −41.2906 | + | 17.0684i | −1.38484 | + | 0.572455i | ||||
\(890\) | 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 | ||||
\(903\) | 12.3033 | − | 16.0101i | 0.409428 | − | 0.532784i | ||||
\(904\) | 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 | ||||||||
\(910\) | −3.00450 | + | 8.01764i | −0.0995981 | + | 0.265782i | ||||
\(911\) | −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 | ||||
\(917\) | 19.2698 | + | 14.8082i | 0.636344 | + | 0.489011i | ||||
\(918\) | 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 | 0.255503 | − | 0.966808i | \(-0.417759\pi\) |
−0.262132 | + | 0.965032i | \(0.584426\pi\) | |||||||
\(930\) | 0.291741 | − | 1.08879i | 0.00956657 | − | 0.0357029i | ||||
\(931\) | 0.0631567 | − | 43.9357i | 0.00206988 | − | 1.43994i | ||||
\(932\) | −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 | \(0.0375470\pi\) | ||||
−0.993051 | + | 0.117684i | \(0.962453\pi\) | |||||||
\(938\) | 2.86752 | − | 21.6606i | 0.0936278 | − | 0.707245i | ||||
\(939\) | −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 | −0.0955544 | − | 0.995424i | \(-0.530462\pi\) |
0.995424 | + | 0.0955544i | \(0.0304624\pi\) | |||||||
\(942\) | 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 | ||||
\(945\) | 2.03806 | − | 0.266825i | 0.0662979 | − | 0.00867982i | ||||
\(946\) | 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 | ||||
\(952\) | 22.6307 | − | 17.3393i | 0.733466 | − | 0.561971i | ||||
\(953\) | 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 | ||||
\(959\) | 13.2242 | − | 10.1322i | 0.427032 | − | 0.327186i | ||||
\(960\) | −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 | ||||
\(966\) | 17.1158 | − | 2.24083i | 0.550693 | − | 0.0720975i | ||||
\(967\) | 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 | −0.852339 | − | 0.522989i | \(-0.824817\pi\) |
0.0267525 | + | 0.999642i | \(0.491483\pi\) | |||||||
\(972\) | 0.332619 | − | 0.576113i | 0.0106688 | − | 0.0184788i | ||||
\(973\) | −6.66534 | + | 50.3487i | −0.213681 | + | 1.61410i | ||||
\(974\) | 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 | ||||
\(980\) | 3.61769 | + | 0.00520036i | 0.115563 | + | 0.000166119i | ||||
\(981\) | −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 | \(-0.942831\pi\) |
−0.178637 | − | 0.983915i | \(-0.557169\pi\) | |||||||
\(984\) | 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 | ||||
\(994\) | −23.5121 | − | 18.0684i | −0.745759 | − | 0.573093i | ||||
\(995\) | −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 | −0.641684 | − | 0.766969i | \(-0.721764\pi\) |
0.343372 | + | 0.939199i | \(0.388431\pi\) | |||||||
\(998\) | −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.d.202.4 | yes | 32 | |
3.2 | odd | 2 | 819.2.fm.e.748.5 | 32 | |||
7.6 | odd | 2 | 273.2.by.c.202.4 | ✓ | 32 | ||
13.2 | odd | 12 | 273.2.by.c.223.4 | yes | 32 | ||
21.20 | even | 2 | 819.2.fm.f.748.5 | 32 | |||
39.2 | even | 12 | 819.2.fm.f.496.5 | 32 | |||
91.41 | even | 12 | inner | 273.2.by.d.223.4 | yes | 32 | |
273.41 | odd | 12 | 819.2.fm.e.496.5 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.by.c.202.4 | ✓ | 32 | 7.6 | odd | 2 | ||
273.2.by.c.223.4 | yes | 32 | 13.2 | odd | 12 | ||
273.2.by.d.202.4 | yes | 32 | 1.1 | even | 1 | trivial | |
273.2.by.d.223.4 | yes | 32 | 91.41 | even | 12 | inner | |
819.2.fm.e.496.5 | 32 | 273.41 | odd | 12 | |||
819.2.fm.e.748.5 | 32 | 3.2 | odd | 2 | |||
819.2.fm.f.496.5 | 32 | 39.2 | even | 12 | |||
819.2.fm.f.748.5 | 32 | 21.20 | even | 2 |