Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(19,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 15, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bn (of order \(30\), degree \(8\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 19.1 | ||
Character | \(\chi\) | \(=\) | 930.19 |
Dual form | 930.2.bn.b.49.1 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{2}{15}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.587785 | + | 0.809017i | −0.415627 | + | 0.572061i | ||||
\(3\) | −0.406737 | + | 0.913545i | −0.234830 | + | 0.527436i | ||||
\(4\) | −0.309017 | − | 0.951057i | −0.154508 | − | 0.475528i | ||||
\(5\) | −1.89205 | − | 1.19170i | −0.846150 | − | 0.532944i | ||||
\(6\) | −0.500000 | − | 0.866025i | −0.204124 | − | 0.353553i | ||||
\(7\) | −1.93366 | − | 1.74107i | −0.730853 | − | 0.658063i | 0.217217 | − | 0.976123i | \(-0.430302\pi\) |
−0.948071 | + | 0.318060i | \(0.896969\pi\) | |||||||
\(8\) | 0.951057 | + | 0.309017i | 0.336249 | + | 0.109254i | ||||
\(9\) | −0.669131 | − | 0.743145i | −0.223044 | − | 0.247715i | ||||
\(10\) | 2.07622 | − | 0.830237i | 0.656560 | − | 0.262544i | ||||
\(11\) | 0.677493 | + | 0.144006i | 0.204272 | + | 0.0434193i | 0.308911 | − | 0.951091i | \(-0.400035\pi\) |
−0.104639 | + | 0.994510i | \(0.533369\pi\) | |||||||
\(12\) | 0.994522 | + | 0.104528i | 0.287094 | + | 0.0301748i | ||||
\(13\) | 1.38792 | − | 0.145877i | 0.384940 | − | 0.0404589i | 0.0899179 | − | 0.995949i | \(-0.471340\pi\) |
0.295022 | + | 0.955490i | \(0.404673\pi\) | |||||||
\(14\) | 2.54513 | − | 0.540984i | 0.680215 | − | 0.144584i | ||||
\(15\) | 1.85824 | − | 1.24377i | 0.479795 | − | 0.321139i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | 1.17916 | + | 5.54750i | 0.285988 | + | 1.34547i | 0.853066 | + | 0.521803i | \(0.174740\pi\) |
−0.567078 | + | 0.823664i | \(0.691926\pi\) | |||||||
\(18\) | 0.994522 | − | 0.104528i | 0.234411 | − | 0.0246376i | ||||
\(19\) | 0.475813 | − | 4.52706i | 0.109159 | − | 1.03858i | −0.793602 | − | 0.608437i | \(-0.791797\pi\) |
0.902761 | − | 0.430142i | \(-0.141536\pi\) | |||||||
\(20\) | −0.548698 | + | 2.16770i | −0.122693 | + | 0.484713i | ||||
\(21\) | 2.37704 | − | 1.05833i | 0.518712 | − | 0.230945i | ||||
\(22\) | −0.514724 | + | 0.463459i | −0.109739 | + | 0.0988098i | ||||
\(23\) | −5.65227 | − | 1.83653i | −1.17858 | − | 0.382944i | −0.346741 | − | 0.937961i | \(-0.612712\pi\) |
−0.831839 | + | 0.555017i | \(0.812712\pi\) | |||||||
\(24\) | −0.669131 | + | 0.743145i | −0.136586 | + | 0.151694i | ||||
\(25\) | 2.15970 | + | 4.50951i | 0.431941 | + | 0.901902i | ||||
\(26\) | −0.697784 | + | 1.20860i | −0.136847 | + | 0.237025i | ||||
\(27\) | 0.951057 | − | 0.309017i | 0.183031 | − | 0.0594703i | ||||
\(28\) | −1.05833 | + | 2.37704i | −0.200005 | + | 0.449218i | ||||
\(29\) | 7.10863 | + | 5.16472i | 1.32004 | + | 0.959064i | 0.999932 | + | 0.0116827i | \(0.00371879\pi\) |
0.320107 | + | 0.947381i | \(0.396281\pi\) | |||||||
\(30\) | −0.0860174 | + | 2.23441i | −0.0157046 | + | 0.407946i | ||||
\(31\) | 2.99954 | + | 4.69071i | 0.538733 | + | 0.842476i | ||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | −0.407117 | + | 0.560349i | −0.0708700 | + | 0.0975442i | ||||
\(34\) | −5.18112 | − | 2.30678i | −0.888554 | − | 0.395610i | ||||
\(35\) | 1.58374 | + | 5.59853i | 0.267701 | + | 0.946325i | ||||
\(36\) | −0.500000 | + | 0.866025i | −0.0833333 | + | 0.144338i | ||||
\(37\) | −9.50405 | + | 5.48717i | −1.56246 | + | 0.902085i | −0.565448 | + | 0.824784i | \(0.691297\pi\) |
−0.997008 | + | 0.0773010i | \(0.975370\pi\) | |||||||
\(38\) | 3.38279 | + | 3.04588i | 0.548761 | + | 0.494107i | ||||
\(39\) | −0.431254 | + | 1.32726i | −0.0690559 | + | 0.212532i | ||||
\(40\) | −1.43119 | − | 1.71805i | −0.226291 | − | 0.271647i | ||||
\(41\) | −5.05596 | + | 2.25106i | −0.789608 | + | 0.351556i | −0.761597 | − | 0.648051i | \(-0.775584\pi\) |
−0.0280116 | + | 0.999608i | \(0.508918\pi\) | |||||||
\(42\) | −0.540984 | + | 2.54513i | −0.0834757 | + | 0.392722i | ||||
\(43\) | 8.62869 | + | 0.906912i | 1.31586 | + | 0.138303i | 0.736317 | − | 0.676636i | \(-0.236563\pi\) |
0.579546 | + | 0.814939i | \(0.303230\pi\) | |||||||
\(44\) | −0.0723994 | − | 0.688835i | −0.0109146 | − | 0.103846i | ||||
\(45\) | 0.380423 | + | 2.20347i | 0.0567101 | + | 0.328474i | ||||
\(46\) | 4.80811 | − | 3.49329i | 0.708917 | − | 0.515058i | ||||
\(47\) | 7.65033 | + | 10.5298i | 1.11592 | + | 1.53593i | 0.812400 | + | 0.583100i | \(0.198160\pi\) |
0.303515 | + | 0.952827i | \(0.401840\pi\) | |||||||
\(48\) | −0.207912 | − | 0.978148i | −0.0300095 | − | 0.141183i | ||||
\(49\) | −0.0240043 | − | 0.228386i | −0.00342919 | − | 0.0326265i | ||||
\(50\) | −4.91771 | − | 0.903387i | −0.695470 | − | 0.127758i | ||||
\(51\) | −5.54750 | − | 1.17916i | −0.776806 | − | 0.165115i | ||||
\(52\) | −0.567628 | − | 1.27491i | −0.0787159 | − | 0.176799i | ||||
\(53\) | −0.438422 | + | 0.394757i | −0.0602219 | + | 0.0542240i | −0.698692 | − | 0.715423i | \(-0.746234\pi\) |
0.638470 | + | 0.769647i | \(0.279568\pi\) | |||||||
\(54\) | −0.309017 | + | 0.951057i | −0.0420519 | + | 0.129422i | ||||
\(55\) | −1.11024 | − | 1.07983i | −0.149705 | − | 0.145605i | ||||
\(56\) | −1.30100 | − | 2.25339i | −0.173853 | − | 0.301122i | ||||
\(57\) | 3.94214 | + | 2.27600i | 0.522150 | + | 0.301463i | ||||
\(58\) | −8.35669 | + | 2.71525i | −1.09729 | + | 0.356530i | ||||
\(59\) | 2.32422 | + | 1.03481i | 0.302588 | + | 0.134721i | 0.552414 | − | 0.833570i | \(-0.313707\pi\) |
−0.249826 | + | 0.968291i | \(0.580373\pi\) | |||||||
\(60\) | −1.75712 | − | 1.38294i | −0.226843 | − | 0.178537i | ||||
\(61\) | −14.2000 | −1.81812 | −0.909061 | − | 0.416664i | \(-0.863199\pi\) | ||||
−0.909061 | + | 0.416664i | \(0.863199\pi\) | |||||||
\(62\) | −5.55795 | − | 0.330452i | −0.705860 | − | 0.0419674i | ||||
\(63\) | 2.60199i | 0.327820i | ||||||||
\(64\) | 0.809017 | + | 0.587785i | 0.101127 | + | 0.0734732i | ||||
\(65\) | −2.79986 | − | 1.37798i | −0.347280 | − | 0.170918i | ||||
\(66\) | −0.214034 | − | 0.658729i | −0.0263458 | − | 0.0810840i | ||||
\(67\) | 3.18752 | + | 1.84032i | 0.389417 | + | 0.224830i | 0.681908 | − | 0.731438i | \(-0.261151\pi\) |
−0.292490 | + | 0.956269i | \(0.594484\pi\) | |||||||
\(68\) | 4.91161 | − | 2.83572i | 0.595620 | − | 0.343881i | ||||
\(69\) | 3.97674 | − | 4.41662i | 0.478743 | − | 0.531698i | ||||
\(70\) | −5.46021 | − | 2.00946i | −0.652619 | − | 0.240177i | ||||
\(71\) | 5.85946 | + | 6.50759i | 0.695391 | + | 0.772309i | 0.982635 | − | 0.185548i | \(-0.0594060\pi\) |
−0.287245 | + | 0.957857i | \(0.592739\pi\) | |||||||
\(72\) | −0.406737 | − | 0.913545i | −0.0479344 | − | 0.107662i | ||||
\(73\) | 3.16453 | − | 14.8879i | 0.370380 | − | 1.74250i | −0.259439 | − | 0.965759i | \(-0.583538\pi\) |
0.629819 | − | 0.776742i | \(-0.283129\pi\) | |||||||
\(74\) | 1.14713 | − | 10.9142i | 0.133351 | − | 1.26875i | ||||
\(75\) | −4.99807 | + | 0.138804i | −0.577128 | + | 0.0160278i | ||||
\(76\) | −4.45252 | + | 0.946413i | −0.510739 | + | 0.108561i | ||||
\(77\) | −1.05931 | − | 1.45802i | −0.120720 | − | 0.166157i | ||||
\(78\) | −0.820294 | − | 1.12904i | −0.0928800 | − | 0.127838i | ||||
\(79\) | −0.621428 | + | 0.132089i | −0.0699161 | + | 0.0148611i | −0.242737 | − | 0.970092i | \(-0.578045\pi\) |
0.172821 | + | 0.984953i | \(0.444712\pi\) | |||||||
\(80\) | 2.23116 | − | 0.148014i | 0.249452 | − | 0.0165484i | ||||
\(81\) | −0.104528 | + | 0.994522i | −0.0116143 | + | 0.110502i | ||||
\(82\) | 1.15067 | − | 5.41350i | 0.127071 | − | 0.597821i | ||||
\(83\) | 3.52397 | + | 7.91496i | 0.386806 | + | 0.868780i | 0.997064 | + | 0.0765771i | \(0.0243991\pi\) |
−0.610258 | + | 0.792203i | \(0.708934\pi\) | |||||||
\(84\) | −1.74107 | − | 1.93366i | −0.189966 | − | 0.210979i | ||||
\(85\) | 4.37993 | − | 11.9014i | 0.475070 | − | 1.29088i | ||||
\(86\) | −5.80553 | + | 6.44769i | −0.626026 | + | 0.695272i | ||||
\(87\) | −7.60954 | + | 4.39337i | −0.815829 | + | 0.471019i | ||||
\(88\) | 0.599834 | + | 0.346314i | 0.0639425 | + | 0.0369172i | ||||
\(89\) | 1.81833 | + | 5.59625i | 0.192743 | + | 0.593201i | 0.999996 | + | 0.00299516i | \(0.000953389\pi\) |
−0.807253 | + | 0.590206i | \(0.799047\pi\) | |||||||
\(90\) | −2.00625 | − | 0.987398i | −0.211477 | − | 0.104081i | ||||
\(91\) | −2.93775 | − | 2.13440i | −0.307959 | − | 0.223746i | ||||
\(92\) | 5.94315i | 0.619616i | ||||||||
\(93\) | −5.50520 | + | 0.832332i | −0.570863 | + | 0.0863088i | ||||
\(94\) | −13.0155 | −1.34245 | ||||||||
\(95\) | −6.29516 | + | 7.99839i | −0.645869 | + | 0.820618i | ||||
\(96\) | 0.913545 | + | 0.406737i | 0.0932383 | + | 0.0415124i | ||||
\(97\) | 13.6733 | − | 4.44273i | 1.38832 | − | 0.451091i | 0.482922 | − | 0.875663i | \(-0.339575\pi\) |
0.905394 | + | 0.424572i | \(0.139575\pi\) | |||||||
\(98\) | 0.198877 | + | 0.114822i | 0.0200896 | + | 0.0115988i | ||||
\(99\) | −0.346314 | − | 0.599834i | −0.0348059 | − | 0.0602856i | ||||
\(100\) | 3.62141 | − | 3.44752i | 0.362141 | − | 0.344752i | ||||
\(101\) | −5.48325 | + | 16.8757i | −0.545603 | + | 1.67919i | 0.173947 | + | 0.984755i | \(0.444348\pi\) |
−0.719551 | + | 0.694440i | \(0.755652\pi\) | |||||||
\(102\) | 4.21470 | − | 3.79493i | 0.417317 | − | 0.375754i | ||||
\(103\) | 4.72799 | + | 10.6192i | 0.465863 | + | 1.04635i | 0.981834 | + | 0.189739i | \(0.0607643\pi\) |
−0.515972 | + | 0.856606i | \(0.672569\pi\) | |||||||
\(104\) | 1.36507 | + | 0.290155i | 0.133856 | + | 0.0284520i | ||||
\(105\) | −5.75868 | − | 0.830311i | −0.561989 | − | 0.0810300i | ||||
\(106\) | −0.0616671 | − | 0.586723i | −0.00598964 | − | 0.0569876i | ||||
\(107\) | −2.82035 | − | 13.2687i | −0.272653 | − | 1.28273i | −0.874854 | − | 0.484387i | \(-0.839043\pi\) |
0.602200 | − | 0.798345i | \(-0.294291\pi\) | |||||||
\(108\) | −0.587785 | − | 0.809017i | −0.0565597 | − | 0.0778477i | ||||
\(109\) | −6.75156 | + | 4.90529i | −0.646682 | + | 0.469842i | −0.862139 | − | 0.506671i | \(-0.830876\pi\) |
0.215457 | + | 0.976513i | \(0.430876\pi\) | |||||||
\(110\) | 1.52619 | − | 0.263492i | 0.145516 | − | 0.0251230i | ||||
\(111\) | −1.14713 | − | 10.9142i | −0.108881 | − | 1.03593i | ||||
\(112\) | 2.58774 | + | 0.271982i | 0.244518 | + | 0.0256999i | ||||
\(113\) | −1.16832 | + | 5.49651i | −0.109906 | + | 0.517068i | 0.888409 | + | 0.459052i | \(0.151811\pi\) |
−0.998316 | + | 0.0580161i | \(0.981523\pi\) | |||||||
\(114\) | −4.15845 | + | 1.85146i | −0.389475 | + | 0.173405i | ||||
\(115\) | 8.50578 | + | 10.2106i | 0.793168 | + | 0.952145i | ||||
\(116\) | 2.71525 | − | 8.35669i | 0.252105 | − | 0.775899i | ||||
\(117\) | −1.03711 | − | 0.933817i | −0.0958807 | − | 0.0863314i | ||||
\(118\) | −2.20332 | + | 1.27209i | −0.202832 | + | 0.117105i | ||||
\(119\) | 7.37851 | − | 12.7800i | 0.676387 | − | 1.17154i | ||||
\(120\) | 2.15163 | − | 0.608664i | 0.196416 | − | 0.0555632i | ||||
\(121\) | −9.61074 | − | 4.27898i | −0.873704 | − | 0.388998i | ||||
\(122\) | 8.34654 | − | 11.4880i | 0.755660 | − | 1.04008i | ||||
\(123\) | − | 5.53444i | − | 0.499023i | ||||||
\(124\) | 3.53422 | − | 4.30224i | 0.317382 | − | 0.386353i | ||||
\(125\) | 1.28772 | − | 11.1059i | 0.115177 | − | 0.993345i | ||||
\(126\) | −2.10505 | − | 1.52941i | −0.187533 | − | 0.136251i | ||||
\(127\) | 0.964409 | − | 2.16610i | 0.0855775 | − | 0.192210i | −0.865688 | − | 0.500585i | \(-0.833118\pi\) |
0.951265 | + | 0.308375i | \(0.0997850\pi\) | |||||||
\(128\) | −0.951057 | + | 0.309017i | −0.0840623 | + | 0.0273135i | ||||
\(129\) | −4.33811 | + | 7.51383i | −0.381949 | + | 0.661556i | ||||
\(130\) | 2.76053 | − | 1.45518i | 0.242114 | − | 0.127627i | ||||
\(131\) | −1.13736 | + | 1.26317i | −0.0993719 | + | 0.110364i | −0.790779 | − | 0.612102i | \(-0.790324\pi\) |
0.691407 | + | 0.722465i | \(0.256991\pi\) | |||||||
\(132\) | 0.658729 | + | 0.214034i | 0.0573350 | + | 0.0186293i | ||||
\(133\) | −8.80199 | + | 7.92535i | −0.763229 | + | 0.687215i | ||||
\(134\) | −3.36242 | + | 1.49705i | −0.290469 | + | 0.129325i | ||||
\(135\) | −2.16770 | − | 0.548698i | −0.186566 | − | 0.0472244i | ||||
\(136\) | −0.592827 | + | 5.64037i | −0.0508345 | + | 0.483658i | ||||
\(137\) | −5.24656 | + | 0.551436i | −0.448244 | + | 0.0471123i | −0.325962 | − | 0.945383i | \(-0.605688\pi\) |
−0.122282 | + | 0.992495i | \(0.539021\pi\) | |||||||
\(138\) | 1.23565 | + | 5.81328i | 0.105185 | + | 0.494859i | ||||
\(139\) | 10.6674 | − | 7.75028i | 0.904793 | − | 0.657371i | −0.0348997 | − | 0.999391i | \(-0.511111\pi\) |
0.939693 | + | 0.342020i | \(0.111111\pi\) | |||||||
\(140\) | 4.83512 | − | 3.23627i | 0.408642 | − | 0.273514i | ||||
\(141\) | −12.7311 | + | 2.70608i | −1.07215 | + | 0.227893i | ||||
\(142\) | −8.70886 | + | 0.915338i | −0.730831 | + | 0.0768135i | ||||
\(143\) | 0.961315 | + | 0.101038i | 0.0803892 | + | 0.00844925i | ||||
\(144\) | 0.978148 | + | 0.207912i | 0.0815123 | + | 0.0173260i | ||||
\(145\) | −7.29508 | − | 18.2433i | −0.605823 | − | 1.51502i | ||||
\(146\) | 10.1845 | + | 11.3111i | 0.842878 | + | 0.936111i | ||||
\(147\) | 0.218404 | + | 0.0709638i | 0.0180137 | + | 0.00585300i | ||||
\(148\) | 8.15552 | + | 7.34326i | 0.670379 | + | 0.603612i | ||||
\(149\) | 10.7596 | + | 18.6361i | 0.881457 | + | 1.52673i | 0.849721 | + | 0.527233i | \(0.176770\pi\) |
0.0317365 | + | 0.999496i | \(0.489896\pi\) | |||||||
\(150\) | 2.82550 | − | 4.12511i | 0.230701 | − | 0.336814i | ||||
\(151\) | 4.17956 | + | 12.8634i | 0.340128 | + | 1.04681i | 0.964141 | + | 0.265392i | \(0.0855015\pi\) |
−0.624012 | + | 0.781414i | \(0.714499\pi\) | |||||||
\(152\) | 1.85146 | − | 4.15845i | 0.150173 | − | 0.337295i | ||||
\(153\) | 3.33359 | − | 4.58829i | 0.269505 | − | 0.370941i | ||||
\(154\) | 1.80221 | 0.145227 | ||||||||
\(155\) | −0.0853604 | − | 12.4496i | −0.00685631 | − | 0.999976i | ||||
\(156\) | 1.39557 | 0.111735 | ||||||||
\(157\) | −0.194160 | + | 0.267239i | −0.0154957 | + | 0.0213280i | −0.816695 | − | 0.577070i | \(-0.804196\pi\) |
0.801199 | + | 0.598398i | \(0.204196\pi\) | |||||||
\(158\) | 0.258404 | − | 0.580385i | 0.0205575 | − | 0.0461730i | ||||
\(159\) | −0.182306 | − | 0.561080i | −0.0144578 | − | 0.0444966i | ||||
\(160\) | −1.19170 | + | 1.89205i | −0.0942121 | + | 0.149580i | ||||
\(161\) | 7.73201 | + | 13.3922i | 0.609368 | + | 1.05546i | ||||
\(162\) | −0.743145 | − | 0.669131i | −0.0583870 | − | 0.0525719i | ||||
\(163\) | 22.1159 | + | 7.18589i | 1.73225 | + | 0.562843i | 0.993772 | − | 0.111433i | \(-0.0355440\pi\) |
0.738480 | + | 0.674276i | \(0.235544\pi\) | |||||||
\(164\) | 3.70326 | + | 4.11289i | 0.289176 | + | 0.321163i | ||||
\(165\) | 1.43805 | − | 0.575046i | 0.111952 | − | 0.0447673i | ||||
\(166\) | −8.47467 | − | 1.80135i | −0.657762 | − | 0.139812i | ||||
\(167\) | −10.9750 | − | 1.15352i | −0.849274 | − | 0.0892623i | −0.330116 | − | 0.943940i | \(-0.607088\pi\) |
−0.519158 | + | 0.854678i | \(0.673755\pi\) | |||||||
\(168\) | 2.58774 | − | 0.271982i | 0.199648 | − | 0.0209839i | ||||
\(169\) | −10.8109 | + | 2.29792i | −0.831605 | + | 0.176763i | ||||
\(170\) | 7.05394 | + | 10.5389i | 0.541012 | + | 0.808295i | ||||
\(171\) | −3.68264 | + | 2.67559i | −0.281619 | + | 0.204608i | ||||
\(172\) | −1.80389 | − | 8.48663i | −0.137545 | − | 0.647099i | ||||
\(173\) | 3.67505 | − | 0.386263i | 0.279409 | − | 0.0293670i | 0.0362124 | − | 0.999344i | \(-0.488471\pi\) |
0.243196 | + | 0.969977i | \(0.421804\pi\) | |||||||
\(174\) | 0.918465 | − | 8.73861i | 0.0696286 | − | 0.662472i | ||||
\(175\) | 3.67526 | − | 12.4800i | 0.277823 | − | 0.943402i | ||||
\(176\) | −0.632748 | + | 0.281718i | −0.0476952 | + | 0.0212353i | ||||
\(177\) | −1.89069 | + | 1.70239i | −0.142113 | + | 0.127959i | ||||
\(178\) | −5.59625 | − | 1.81833i | −0.419456 | − | 0.136290i | ||||
\(179\) | 13.0109 | − | 14.4501i | 0.972482 | − | 1.08005i | −0.0242851 | − | 0.999705i | \(-0.507731\pi\) |
0.996767 | − | 0.0803456i | \(-0.0256024\pi\) | |||||||
\(180\) | 1.97807 | − | 1.04271i | 0.147436 | − | 0.0777193i | ||||
\(181\) | 2.33850 | − | 4.05039i | 0.173819 | − | 0.301063i | −0.765933 | − | 0.642920i | \(-0.777723\pi\) |
0.939752 | + | 0.341857i | \(0.111056\pi\) | |||||||
\(182\) | 3.45353 | − | 1.12212i | 0.255993 | − | 0.0831770i | ||||
\(183\) | 5.77565 | − | 12.9723i | 0.426949 | − | 0.958942i | ||||
\(184\) | −4.80811 | − | 3.49329i | −0.354458 | − | 0.257529i | ||||
\(185\) | 24.5212 | + | 0.943984i | 1.80283 | + | 0.0694031i | ||||
\(186\) | 2.56250 | − | 4.94303i | 0.187892 | − | 0.362441i | ||||
\(187\) | 3.92820i | 0.287258i | ||||||||
\(188\) | 7.65033 | − | 10.5298i | 0.557958 | − | 0.767963i | ||||
\(189\) | −2.37704 | − | 1.05833i | −0.172904 | − | 0.0769818i | ||||
\(190\) | −2.77064 | − | 9.79422i | −0.201003 | − | 0.710548i | ||||
\(191\) | −3.10023 | + | 5.36975i | −0.224325 | + | 0.388542i | −0.956117 | − | 0.292986i | \(-0.905351\pi\) |
0.731792 | + | 0.681528i | \(0.238684\pi\) | |||||||
\(192\) | −0.866025 | + | 0.500000i | −0.0625000 | + | 0.0360844i | ||||
\(193\) | 14.2428 | + | 12.8243i | 1.02522 | + | 0.923111i | 0.997070 | − | 0.0764928i | \(-0.0243722\pi\) |
0.0281484 | + | 0.999604i | \(0.491039\pi\) | |||||||
\(194\) | −4.44273 | + | 13.6733i | −0.318970 | + | 0.981688i | ||||
\(195\) | 2.39765 | − | 1.99732i | 0.171700 | − | 0.143031i | ||||
\(196\) | −0.209790 | + | 0.0934045i | −0.0149850 | + | 0.00667175i | ||||
\(197\) | −1.63308 | + | 7.68304i | −0.116352 | + | 0.547394i | 0.880899 | + | 0.473304i | \(0.156939\pi\) |
−0.997252 | + | 0.0740904i | \(0.976395\pi\) | |||||||
\(198\) | 0.688835 | + | 0.0723994i | 0.0489533 | + | 0.00514520i | ||||
\(199\) | −2.54615 | − | 24.2250i | −0.180492 | − | 1.71727i | −0.592066 | − | 0.805889i | \(-0.701688\pi\) |
0.411574 | − | 0.911376i | \(-0.364979\pi\) | |||||||
\(200\) | 0.660485 | + | 4.95618i | 0.0467033 | + | 0.350455i | ||||
\(201\) | −2.97769 | + | 2.16342i | −0.210030 | + | 0.152596i | ||||
\(202\) | −10.4298 | − | 14.3553i | −0.733835 | − | 1.01004i | ||||
\(203\) | −4.75349 | − | 22.3634i | −0.333630 | − | 1.56960i | ||||
\(204\) | 0.592827 | + | 5.64037i | 0.0415062 | + | 0.394905i | ||||
\(205\) | 12.2487 | + | 1.76607i | 0.855487 | + | 0.123348i | ||||
\(206\) | −11.3702 | − | 2.41681i | −0.792199 | − | 0.168387i | ||||
\(207\) | 2.41730 | + | 5.42934i | 0.168014 | + | 0.377365i | ||||
\(208\) | −1.03711 | + | 0.933817i | −0.0719106 | + | 0.0647486i | ||||
\(209\) | 0.974282 | − | 2.99853i | 0.0673925 | − | 0.207413i | ||||
\(210\) | 4.05660 | − | 4.17082i | 0.279932 | − | 0.287814i | ||||
\(211\) | 1.75156 | + | 3.03380i | 0.120583 | + | 0.208855i | 0.919998 | − | 0.391924i | \(-0.128190\pi\) |
−0.799415 | + | 0.600779i | \(0.794857\pi\) | |||||||
\(212\) | 0.510916 | + | 0.294977i | 0.0350898 | + | 0.0202591i | ||||
\(213\) | −8.32824 | + | 2.70601i | −0.570642 | + | 0.185413i | ||||
\(214\) | 12.3923 | + | 5.51743i | 0.847124 | + | 0.377164i | ||||
\(215\) | −15.2452 | − | 11.9987i | −1.03971 | − | 0.818307i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | 2.36678 | − | 14.2926i | 0.160668 | − | 0.970247i | ||||
\(218\) | − | 8.34539i | − | 0.565221i | ||||||
\(219\) | 12.3137 | + | 8.94641i | 0.832081 | + | 0.604542i | ||||
\(220\) | −0.683901 | + | 1.38959i | −0.0461086 | + | 0.0936860i | ||||
\(221\) | 2.44583 | + | 7.52749i | 0.164524 | + | 0.506354i | ||||
\(222\) | 9.50405 | + | 5.48717i | 0.637870 | + | 0.368274i | ||||
\(223\) | −5.68109 | + | 3.27998i | −0.380434 | + | 0.219644i | −0.678007 | − | 0.735055i | \(-0.737156\pi\) |
0.297573 | + | 0.954699i | \(0.403823\pi\) | |||||||
\(224\) | −1.74107 | + | 1.93366i | −0.116330 | + | 0.129198i | ||||
\(225\) | 1.90610 | − | 4.62242i | 0.127073 | − | 0.308162i | ||||
\(226\) | −3.76005 | − | 4.17596i | −0.250115 | − | 0.277780i | ||||
\(227\) | 4.75874 | + | 10.6883i | 0.315848 | + | 0.709407i | 0.999798 | − | 0.0201227i | \(-0.00640568\pi\) |
−0.683949 | + | 0.729530i | \(0.739739\pi\) | |||||||
\(228\) | 0.946413 | − | 4.45252i | 0.0626777 | − | 0.294875i | ||||
\(229\) | −1.08173 | + | 10.2919i | −0.0714826 | + | 0.680111i | 0.898837 | + | 0.438284i | \(0.144413\pi\) |
−0.970319 | + | 0.241827i | \(0.922253\pi\) | |||||||
\(230\) | −13.2601 | + | 0.879666i | −0.874347 | + | 0.0580035i | ||||
\(231\) | 1.76283 | − | 0.374701i | 0.115986 | − | 0.0246535i | ||||
\(232\) | 5.16472 | + | 7.10863i | 0.339080 | + | 0.466704i | ||||
\(233\) | −14.2912 | − | 19.6702i | −0.936250 | − | 1.28864i | −0.957371 | − | 0.288860i | \(-0.906724\pi\) |
0.0211217 | − | 0.999777i | \(-0.493276\pi\) | |||||||
\(234\) | 1.36507 | − | 0.290155i | 0.0892375 | − | 0.0189680i | ||||
\(235\) | −1.92647 | − | 29.0398i | −0.125669 | − | 1.89435i | ||||
\(236\) | 0.265939 | − | 2.53024i | 0.0173111 | − | 0.164704i | ||||
\(237\) | 0.132089 | − | 0.621428i | 0.00858008 | − | 0.0403661i | ||||
\(238\) | 6.00222 | + | 13.4812i | 0.389066 | + | 0.873857i | ||||
\(239\) | −8.45251 | − | 9.38746i | −0.546747 | − | 0.607224i | 0.404921 | − | 0.914352i | \(-0.367299\pi\) |
−0.951668 | + | 0.307127i | \(0.900632\pi\) | |||||||
\(240\) | −0.772279 | + | 2.09847i | −0.0498504 | + | 0.135456i | ||||
\(241\) | −7.25726 | + | 8.06001i | −0.467481 | + | 0.519191i | −0.930070 | − | 0.367382i | \(-0.880254\pi\) |
0.462589 | + | 0.886573i | \(0.346921\pi\) | |||||||
\(242\) | 9.11082 | − | 5.26013i | 0.585665 | − | 0.338134i | ||||
\(243\) | −0.866025 | − | 0.500000i | −0.0555556 | − | 0.0320750i | ||||
\(244\) | 4.38804 | + | 13.5050i | 0.280915 | + | 0.864568i | ||||
\(245\) | −0.226750 | + | 0.460723i | −0.0144865 | + | 0.0294345i | ||||
\(246\) | 4.47745 | + | 3.25306i | 0.285472 | + | 0.207408i | ||||
\(247\) | − | 6.35262i | − | 0.404207i | ||||||
\(248\) | 1.40322 | + | 5.38804i | 0.0891047 | + | 0.342141i | ||||
\(249\) | −8.66400 | −0.549059 | ||||||||
\(250\) | 8.22799 | + | 7.56969i | 0.520384 | + | 0.478749i | ||||
\(251\) | 2.80602 | + | 1.24932i | 0.177114 | + | 0.0788564i | 0.493378 | − | 0.869815i | \(-0.335762\pi\) |
−0.316264 | + | 0.948671i | \(0.602429\pi\) | |||||||
\(252\) | 2.47464 | − | 0.804059i | 0.155888 | − | 0.0506510i | ||||
\(253\) | −3.56490 | − | 2.05820i | −0.224124 | − | 0.129398i | ||||
\(254\) | 1.18554 | + | 2.05342i | 0.0743877 | + | 0.128843i | ||||
\(255\) | 9.09095 | + | 8.84198i | 0.569297 | + | 0.553706i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 10.8164 | − | 9.73909i | 0.674706 | − | 0.607508i | −0.258860 | − | 0.965915i | \(-0.583347\pi\) |
0.933565 | + | 0.358407i | \(0.116680\pi\) | |||||||
\(258\) | −3.52894 | − | 7.92612i | −0.219702 | − | 0.493459i | ||||
\(259\) | 27.9311 | + | 5.93694i | 1.73555 | + | 0.368904i | ||||
\(260\) | −0.445334 | + | 3.08864i | −0.0276184 | + | 0.191550i | ||||
\(261\) | −0.918465 | − | 8.73861i | −0.0568515 | − | 0.540906i | ||||
\(262\) | −0.353400 | − | 1.66262i | −0.0218332 | − | 0.102717i | ||||
\(263\) | −9.81265 | − | 13.5060i | −0.605074 | − | 0.832813i | 0.391087 | − | 0.920354i | \(-0.372099\pi\) |
−0.996161 | + | 0.0875407i | \(0.972099\pi\) | |||||||
\(264\) | −0.560349 | + | 0.407117i | −0.0344871 | + | 0.0250563i | ||||
\(265\) | 1.29995 | − | 0.224432i | 0.0798551 | − | 0.0137868i | ||||
\(266\) | −1.23806 | − | 11.7794i | −0.0759104 | − | 0.722239i | ||||
\(267\) | −5.85201 | − | 0.615071i | −0.358137 | − | 0.0376417i | ||||
\(268\) | 0.765246 | − | 3.60020i | 0.0467448 | − | 0.219917i | ||||
\(269\) | 16.7172 | − | 7.44297i | 1.01927 | − | 0.453806i | 0.172068 | − | 0.985085i | \(-0.444955\pi\) |
0.847197 | + | 0.531279i | \(0.178288\pi\) | |||||||
\(270\) | 1.71805 | − | 1.43119i | 0.104557 | − | 0.0870995i | ||||
\(271\) | −1.63959 | + | 5.04614i | −0.0995980 | + | 0.306531i | −0.988425 | − | 0.151712i | \(-0.951521\pi\) |
0.888827 | + | 0.458244i | \(0.151521\pi\) | |||||||
\(272\) | −4.21470 | − | 3.79493i | −0.255554 | − | 0.230102i | ||||
\(273\) | 3.14476 | − | 1.81563i | 0.190329 | − | 0.109887i | ||||
\(274\) | 2.63773 | − | 4.56868i | 0.159351 | − | 0.276004i | ||||
\(275\) | 0.813790 | + | 3.36617i | 0.0490734 | + | 0.202988i | ||||
\(276\) | −5.42934 | − | 2.41730i | −0.326808 | − | 0.145504i | ||||
\(277\) | 5.93198 | − | 8.16467i | 0.356418 | − | 0.490568i | −0.592728 | − | 0.805403i | \(-0.701949\pi\) |
0.949146 | + | 0.314835i | \(0.101949\pi\) | |||||||
\(278\) | 13.1856i | 0.790818i | ||||||||
\(279\) | 1.47879 | − | 5.36779i | 0.0885330 | − | 0.321361i | ||||
\(280\) | −0.223816 | + | 5.81392i | −0.0133756 | + | 0.347448i | ||||
\(281\) | −11.3985 | − | 8.28147i | −0.679976 | − | 0.494031i | 0.193374 | − | 0.981125i | \(-0.438057\pi\) |
−0.873350 | + | 0.487094i | \(0.838057\pi\) | |||||||
\(282\) | 5.29389 | − | 11.8903i | 0.315247 | − | 0.708056i | ||||
\(283\) | 8.74348 | − | 2.84093i | 0.519746 | − | 0.168876i | −0.0373842 | − | 0.999301i | \(-0.511903\pi\) |
0.557130 | + | 0.830425i | \(0.311903\pi\) | |||||||
\(284\) | 4.37842 | − | 7.58364i | 0.259811 | − | 0.450006i | ||||
\(285\) | −4.74642 | − | 9.00415i | −0.281154 | − | 0.533360i | ||||
\(286\) | −0.646789 | + | 0.718332i | −0.0382454 | + | 0.0424758i | ||||
\(287\) | 13.6957 | + | 4.45002i | 0.808434 | + | 0.262676i | ||||
\(288\) | −0.743145 | + | 0.669131i | −0.0437902 | + | 0.0394289i | ||||
\(289\) | −13.8541 | + | 6.16824i | −0.814947 | + | 0.362838i | ||||
\(290\) | 19.0470 | + | 4.82127i | 1.11848 | + | 0.283115i | ||||
\(291\) | −1.50280 | + | 14.2982i | −0.0880960 | + | 0.838177i | ||||
\(292\) | −15.1372 | + | 1.59098i | −0.885835 | + | 0.0931051i | ||||
\(293\) | 3.39212 | + | 15.9587i | 0.198170 | + | 0.932316i | 0.959009 | + | 0.283375i | \(0.0914542\pi\) |
−0.760839 | + | 0.648940i | \(0.775212\pi\) | |||||||
\(294\) | −0.185786 | + | 0.134981i | −0.0108352 | + | 0.00787227i | ||||
\(295\) | −3.16436 | − | 4.72768i | −0.184236 | − | 0.275256i | ||||
\(296\) | −10.7345 | + | 2.28169i | −0.623931 | + | 0.132621i | ||||
\(297\) | 0.688835 | − | 0.0723994i | 0.0399702 | − | 0.00420104i | ||||
\(298\) | −21.4012 | − | 2.24936i | −1.23974 | − | 0.130302i | ||||
\(299\) | −8.11282 | − | 1.72443i | −0.469176 | − | 0.0997265i | ||||
\(300\) | 1.67650 | + | 4.71056i | 0.0967928 | + | 0.271964i | ||||
\(301\) | −15.1059 | − | 16.7768i | −0.870691 | − | 0.967001i | ||||
\(302\) | −12.8634 | − | 4.17956i | −0.740204 | − | 0.240507i | ||||
\(303\) | −13.1865 | − | 11.8732i | −0.757544 | − | 0.682095i | ||||
\(304\) | 2.27600 | + | 3.94214i | 0.130537 | + | 0.226097i | ||||
\(305\) | 26.8671 | + | 16.9221i | 1.53840 | + | 0.968957i | ||||
\(306\) | 1.75257 | + | 5.39386i | 0.100188 | + | 0.308346i | ||||
\(307\) | −13.4111 | + | 30.1219i | −0.765415 | + | 1.71915i | −0.0733582 | + | 0.997306i | \(0.523372\pi\) |
−0.692056 | + | 0.721844i | \(0.743295\pi\) | |||||||
\(308\) | −1.05931 | + | 1.45802i | −0.0603601 | + | 0.0830785i | ||||
\(309\) | −11.6242 | −0.661278 | ||||||||
\(310\) | 10.1221 | + | 7.24864i | 0.574898 | + | 0.411695i | ||||
\(311\) | −7.97289 | −0.452101 | −0.226050 | − | 0.974116i | \(-0.572581\pi\) | ||||
−0.226050 | + | 0.974116i | \(0.572581\pi\) | |||||||
\(312\) | −0.820294 | + | 1.12904i | −0.0464400 | + | 0.0639192i | ||||
\(313\) | 7.80195 | − | 17.5235i | 0.440992 | − | 0.990485i | −0.547163 | − | 0.837026i | \(-0.684292\pi\) |
0.988155 | − | 0.153459i | \(-0.0490413\pi\) | |||||||
\(314\) | −0.102076 | − | 0.314158i | −0.00576049 | − | 0.0177290i | ||||
\(315\) | 3.10079 | − | 4.92310i | 0.174710 | − | 0.277385i | ||||
\(316\) | 0.317655 | + | 0.550195i | 0.0178695 | + | 0.0309509i | ||||
\(317\) | −2.65073 | − | 2.38673i | −0.148880 | − | 0.134052i | 0.591325 | − | 0.806433i | \(-0.298605\pi\) |
−0.740205 | + | 0.672381i | \(0.765272\pi\) | |||||||
\(318\) | 0.561080 | + | 0.182306i | 0.0314638 | + | 0.0102232i | ||||
\(319\) | 4.07230 | + | 4.52274i | 0.228005 | + | 0.253225i | ||||
\(320\) | −0.830237 | − | 2.07622i | −0.0464116 | − | 0.116064i | ||||
\(321\) | 13.2687 | + | 2.82035i | 0.740586 | + | 0.157416i | ||||
\(322\) | −15.3793 | − | 1.61643i | −0.857055 | − | 0.0900801i | ||||
\(323\) | 25.6749 | − | 2.69854i | 1.42859 | − | 0.150151i | ||||
\(324\) | 0.978148 | − | 0.207912i | 0.0543415 | − | 0.0115506i | ||||
\(325\) | 3.65533 | + | 5.94380i | 0.202761 | + | 0.329703i | ||||
\(326\) | −18.8129 | + | 13.6684i | −1.04195 | + | 0.757022i | ||||
\(327\) | −1.73510 | − | 8.16302i | −0.0959514 | − | 0.451416i | ||||
\(328\) | −5.50412 | + | 0.578506i | −0.303914 | + | 0.0319427i | ||||
\(329\) | 3.53999 | − | 33.6808i | 0.195166 | − | 1.85688i | ||||
\(330\) | −0.380044 | + | 1.50141i | −0.0209207 | + | 0.0826501i | ||||
\(331\) | −1.56998 | + | 0.698999i | −0.0862938 | + | 0.0384205i | −0.449430 | − | 0.893316i | \(-0.648373\pi\) |
0.363136 | + | 0.931736i | \(0.381706\pi\) | |||||||
\(332\) | 6.43861 | − | 5.79735i | 0.353365 | − | 0.318171i | ||||
\(333\) | 10.4372 | + | 3.39126i | 0.571956 | + | 0.185840i | ||||
\(334\) | 7.38419 | − | 8.20097i | 0.404045 | − | 0.448737i | ||||
\(335\) | −3.83784 | − | 7.28053i | −0.209684 | − | 0.397778i | ||||
\(336\) | −1.30100 | + | 2.25339i | −0.0709751 | + | 0.122933i | ||||
\(337\) | −25.7853 | + | 8.37815i | −1.40461 | + | 0.456387i | −0.910680 | − | 0.413112i | \(-0.864442\pi\) |
−0.493934 | + | 0.869499i | \(0.664442\pi\) | |||||||
\(338\) | 4.49541 | − | 10.0969i | 0.244518 | − | 0.549197i | ||||
\(339\) | −4.54611 | − | 3.30294i | −0.246911 | − | 0.179391i | ||||
\(340\) | −12.6723 | − | 0.487842i | −0.687254 | − | 0.0264570i | ||||
\(341\) | 1.35668 | + | 3.60988i | 0.0734683 | + | 0.195486i | ||||
\(342\) | − | 4.55199i | − | 0.246144i | ||||||
\(343\) | −11.0571 | + | 15.2188i | −0.597027 | + | 0.821738i | ||||
\(344\) | 7.92612 | + | 3.52894i | 0.427348 | + | 0.190268i | ||||
\(345\) | −12.7875 | + | 3.61738i | −0.688455 | + | 0.194753i | ||||
\(346\) | −1.84765 | + | 3.20022i | −0.0993300 | + | 0.172045i | ||||
\(347\) | −7.36616 | + | 4.25285i | −0.395436 | + | 0.228305i | −0.684513 | − | 0.729001i | \(-0.739985\pi\) |
0.289077 | + | 0.957306i | \(0.406652\pi\) | |||||||
\(348\) | 6.52982 | + | 5.87948i | 0.350035 | + | 0.315173i | ||||
\(349\) | −2.50449 | + | 7.70804i | −0.134062 | + | 0.412602i | −0.995443 | − | 0.0953584i | \(-0.969600\pi\) |
0.861381 | + | 0.507960i | \(0.169600\pi\) | |||||||
\(350\) | 7.93630 | + | 10.3089i | 0.424213 | + | 0.551035i | ||||
\(351\) | 1.27491 | − | 0.567628i | 0.0680499 | − | 0.0302978i | ||||
\(352\) | 0.144006 | − | 0.677493i | 0.00767553 | − | 0.0361105i | ||||
\(353\) | −23.1366 | − | 2.43175i | −1.23143 | − | 0.129429i | −0.533631 | − | 0.845718i | \(-0.679173\pi\) |
−0.697804 | + | 0.716289i | \(0.745839\pi\) | |||||||
\(354\) | −0.265939 | − | 2.53024i | −0.0141345 | − | 0.134481i | ||||
\(355\) | −3.33130 | − | 19.2954i | −0.176807 | − | 1.02409i | ||||
\(356\) | 4.76045 | − | 3.45867i | 0.252303 | − | 0.183309i | ||||
\(357\) | 8.67396 | + | 11.9387i | 0.459075 | + | 0.631862i | ||||
\(358\) | 4.04274 | + | 19.0196i | 0.213666 | + | 1.00522i | ||||
\(359\) | 0.472830 | + | 4.49867i | 0.0249550 | + | 0.237431i | 0.999888 | + | 0.0149344i | \(0.00475395\pi\) |
−0.974933 | + | 0.222497i | \(0.928579\pi\) | |||||||
\(360\) | −0.319106 | + | 2.21318i | −0.0168184 | + | 0.116645i | ||||
\(361\) | −1.68305 | − | 0.357743i | −0.0885816 | − | 0.0188286i | ||||
\(362\) | 1.90230 | + | 4.27264i | 0.0999829 | + | 0.224565i | ||||
\(363\) | 7.81808 | − | 7.03943i | 0.410343 | − | 0.369474i | ||||
\(364\) | −1.12212 | + | 3.45353i | −0.0588150 | + | 0.181014i | ||||
\(365\) | −23.7294 | + | 24.3975i | −1.24205 | + | 1.27703i | ||||
\(366\) | 7.09999 | + | 12.2975i | 0.371122 | + | 0.642803i | ||||
\(367\) | 2.04466 | + | 1.18049i | 0.106730 | + | 0.0616208i | 0.552415 | − | 0.833569i | \(-0.313706\pi\) |
−0.445685 | + | 0.895190i | \(0.647040\pi\) | |||||||
\(368\) | 5.65227 | − | 1.83653i | 0.294645 | − | 0.0957359i | ||||
\(369\) | 5.05596 | + | 2.25106i | 0.263203 | + | 0.117185i | ||||
\(370\) | −15.1769 | + | 19.2832i | −0.789009 | + | 1.00249i | ||||
\(371\) | 1.53506 | 0.0796962 | ||||||||
\(372\) | 2.49280 | + | 4.97855i | 0.129245 | + | 0.258126i | ||||
\(373\) | − | 1.52880i | − | 0.0791582i | −0.999216 | − | 0.0395791i | \(-0.987398\pi\) | ||
0.999216 | − | 0.0395791i | \(-0.0126017\pi\) | |||||||
\(374\) | −3.17798 | − | 2.30894i | −0.164329 | − | 0.119392i | ||||
\(375\) | 9.62202 | + | 5.69358i | 0.496879 | + | 0.294015i | ||||
\(376\) | 4.02202 | + | 12.3785i | 0.207420 | + | 0.638372i | ||||
\(377\) | 10.6196 | + | 6.13125i | 0.546939 | + | 0.315775i | ||||
\(378\) | 2.25339 | − | 1.30100i | 0.115902 | − | 0.0669160i | ||||
\(379\) | −15.5814 | + | 17.3049i | −0.800363 | + | 0.888893i | −0.995775 | − | 0.0918279i | \(-0.970729\pi\) |
0.195412 | + | 0.980721i | \(0.437396\pi\) | |||||||
\(380\) | 9.55223 | + | 3.51541i | 0.490019 | + | 0.180337i | ||||
\(381\) | 1.58657 | + | 1.76206i | 0.0812824 | + | 0.0902732i | ||||
\(382\) | −2.52195 | − | 5.66440i | −0.129034 | − | 0.289816i | ||||
\(383\) | 5.53607 | − | 26.0452i | 0.282880 | − | 1.33085i | −0.575488 | − | 0.817810i | \(-0.695188\pi\) |
0.858368 | − | 0.513035i | \(-0.171479\pi\) | |||||||
\(384\) | 0.104528 | − | 0.994522i | 0.00533420 | − | 0.0507515i | ||||
\(385\) | 0.266752 | + | 4.02103i | 0.0135949 | + | 0.204931i | ||||
\(386\) | −18.7468 | + | 3.98475i | −0.954185 | + | 0.202818i | ||||
\(387\) | −5.09976 | − | 7.01921i | −0.259235 | − | 0.356807i | ||||
\(388\) | −8.45058 | − | 11.6312i | −0.429013 | − | 0.590486i | ||||
\(389\) | −21.7713 | + | 4.62763i | −1.10385 | + | 0.234630i | −0.723576 | − | 0.690245i | \(-0.757503\pi\) |
−0.380271 | + | 0.924875i | \(0.624169\pi\) | |||||||
\(390\) | 0.206563 | + | 3.11374i | 0.0104597 | + | 0.157670i | ||||
\(391\) | 3.52326 | − | 33.5215i | 0.178179 | − | 1.69526i | ||||
\(392\) | 0.0477456 | − | 0.224626i | 0.00241152 | − | 0.0113453i | ||||
\(393\) | −0.691356 | − | 1.55281i | −0.0348743 | − | 0.0783289i | ||||
\(394\) | −5.25581 | − | 5.83717i | −0.264784 | − | 0.294072i | ||||
\(395\) | 1.33318 | + | 0.490637i | 0.0670797 | + | 0.0246866i | ||||
\(396\) | −0.463459 | + | 0.514724i | −0.0232897 | + | 0.0258658i | ||||
\(397\) | 0.786378 | − | 0.454015i | 0.0394672 | − | 0.0227864i | −0.480137 | − | 0.877194i | \(-0.659413\pi\) |
0.519604 | + | 0.854407i | \(0.326080\pi\) | |||||||
\(398\) | 21.0950 | + | 12.1792i | 1.05740 | + | 0.610489i | ||||
\(399\) | −3.66007 | − | 11.2645i | −0.183233 | − | 0.563933i | ||||
\(400\) | −4.39786 | − | 2.37883i | −0.219893 | − | 0.118941i | ||||
\(401\) | −23.0563 | − | 16.7514i | −1.15138 | − | 0.836524i | −0.162714 | − | 0.986673i | \(-0.552025\pi\) |
−0.988663 | + | 0.150149i | \(0.952025\pi\) | |||||||
\(402\) | − | 3.68063i | − | 0.183573i | ||||||
\(403\) | 4.84739 | + | 6.07278i | 0.241466 | + | 0.302507i | ||||
\(404\) | 17.7442 | 0.882805 | ||||||||
\(405\) | 1.38294 | − | 1.75712i | 0.0687191 | − | 0.0873119i | ||||
\(406\) | 20.8864 | + | 9.29923i | 1.03658 | + | 0.461513i | ||||
\(407\) | −7.22911 | + | 2.34888i | −0.358334 | + | 0.116430i | ||||
\(408\) | −4.91161 | − | 2.83572i | −0.243161 | − | 0.140389i | ||||
\(409\) | 8.22290 | + | 14.2425i | 0.406596 | + | 0.704246i | 0.994506 | − | 0.104681i | \(-0.0333822\pi\) |
−0.587909 | + | 0.808927i | \(0.700049\pi\) | |||||||
\(410\) | −8.62839 | + | 8.87135i | −0.426126 | + | 0.438125i | ||||
\(411\) | 1.63021 | − | 5.01726i | 0.0804122 | − | 0.247483i | ||||
\(412\) | 8.63847 | − | 7.77811i | 0.425587 | − | 0.383200i | ||||
\(413\) | −2.69256 | − | 6.04760i | −0.132492 | − | 0.297583i | ||||
\(414\) | −5.81328 | − | 1.23565i | −0.285707 | − | 0.0607289i | ||||
\(415\) | 2.76473 | − | 19.1750i | 0.135716 | − | 0.941264i | ||||
\(416\) | −0.145877 | − | 1.38792i | −0.00715219 | − | 0.0680485i | ||||
\(417\) | 2.74143 | + | 12.8974i | 0.134249 | + | 0.631590i | ||||
\(418\) | 1.85319 | + | 2.55070i | 0.0906427 | + | 0.124759i | ||||
\(419\) | 11.0755 | − | 8.04684i | 0.541075 | − | 0.393114i | −0.283409 | − | 0.958999i | \(-0.591465\pi\) |
0.824484 | + | 0.565885i | \(0.191465\pi\) | |||||||
\(420\) | 0.989857 | + | 5.73341i | 0.0483001 | + | 0.279762i | ||||
\(421\) | 1.41794 | + | 13.4908i | 0.0691060 | + | 0.657500i | 0.973168 | + | 0.230098i | \(0.0739046\pi\) |
−0.904061 | + | 0.427402i | \(0.859429\pi\) | |||||||
\(422\) | −3.48394 | − | 0.366177i | −0.169595 | − | 0.0178252i | ||||
\(423\) | 2.70608 | − | 12.7311i | 0.131574 | − | 0.619007i | ||||
\(424\) | −0.538951 | + | 0.239956i | −0.0261738 | + | 0.0116533i | ||||
\(425\) | −22.4699 | + | 17.2984i | −1.08995 | + | 0.839095i | ||||
\(426\) | 2.70601 | − | 8.32824i | 0.131107 | − | 0.403505i | ||||
\(427\) | 27.4579 | + | 24.7232i | 1.32878 | + | 1.19644i | ||||
\(428\) | −11.7477 | + | 6.78256i | −0.567848 | + | 0.327847i | ||||
\(429\) | −0.483305 | + | 0.837109i | −0.0233342 | + | 0.0404160i | ||||
\(430\) | 18.6681 | − | 5.28091i | 0.900254 | − | 0.254668i | ||||
\(431\) | −4.71324 | − | 2.09847i | −0.227029 | − | 0.101080i | 0.290070 | − | 0.957005i | \(-0.406321\pi\) |
−0.517099 | + | 0.855926i | \(0.672988\pi\) | |||||||
\(432\) | −0.587785 | + | 0.809017i | −0.0282798 | + | 0.0389238i | ||||
\(433\) | 35.0453i | 1.68417i | 0.539344 | + | 0.842085i | \(0.318672\pi\) | ||||
−0.539344 | + | 0.842085i | \(0.681328\pi\) | |||||||
\(434\) | 10.1718 | + | 10.3158i | 0.488263 | + | 0.495173i | ||||
\(435\) | 19.6332 | + | 0.755813i | 0.941341 | + | 0.0362385i | ||||
\(436\) | 6.75156 | + | 4.90529i | 0.323341 | + | 0.234921i | ||||
\(437\) | −11.0035 | + | 24.7143i | −0.526370 | + | 1.18225i | ||||
\(438\) | −14.4756 | + | 4.70341i | −0.691671 | + | 0.224737i | ||||
\(439\) | 5.03065 | − | 8.71334i | 0.240100 | − | 0.415865i | −0.720643 | − | 0.693307i | \(-0.756153\pi\) |
0.960743 | + | 0.277442i | \(0.0894865\pi\) | |||||||
\(440\) | −0.722213 | − | 1.37007i | −0.0344302 | − | 0.0653154i | ||||
\(441\) | −0.153662 | + | 0.170659i | −0.00731722 | + | 0.00812660i | ||||
\(442\) | −7.52749 | − | 2.44583i | −0.358046 | − | 0.116336i | ||||
\(443\) | −15.9504 | + | 14.3618i | −0.757825 | + | 0.682348i | −0.954530 | − | 0.298114i | \(-0.903642\pi\) |
0.196706 | + | 0.980463i | \(0.436976\pi\) | |||||||
\(444\) | −10.0256 | + | 4.46366i | −0.475792 | + | 0.211836i | ||||
\(445\) | 3.22867 | − | 12.7553i | 0.153054 | − | 0.604658i | ||||
\(446\) | 0.685703 | − | 6.52403i | 0.0324690 | − | 0.308922i | ||||
\(447\) | −21.4012 | + | 2.24936i | −1.01224 | + | 0.106391i | ||||
\(448\) | −0.540984 | − | 2.54513i | −0.0255591 | − | 0.120246i | ||||
\(449\) | −1.95197 | + | 1.41819i | −0.0921193 | + | 0.0669286i | −0.632892 | − | 0.774240i | \(-0.718132\pi\) |
0.540772 | + | 0.841169i | \(0.318132\pi\) | |||||||
\(450\) | 2.61924 | + | 4.25906i | 0.123472 | + | 0.200774i | ||||
\(451\) | −3.74954 | + | 0.796990i | −0.176559 | + | 0.0375288i | ||||
\(452\) | 5.58852 | − | 0.587377i | 0.262862 | − | 0.0276279i | ||||
\(453\) | −13.4513 | − | 1.41378i | −0.631995 | − | 0.0664254i | ||||
\(454\) | −11.4441 | − | 2.43252i | −0.537099 | − | 0.114164i | ||||
\(455\) | 3.01480 | + | 7.53930i | 0.141336 | + | 0.353448i | ||||
\(456\) | 3.04588 | + | 3.38279i | 0.142636 | + | 0.158414i | ||||
\(457\) | −11.8422 | − | 3.84778i | −0.553957 | − | 0.179991i | 0.0186434 | − | 0.999826i | \(-0.494065\pi\) |
−0.572600 | + | 0.819835i | \(0.694065\pi\) | |||||||
\(458\) | −7.69054 | − | 6.92459i | −0.359355 | − | 0.323565i | ||||
\(459\) | 2.83572 | + | 4.91161i | 0.132360 | + | 0.229254i | ||||
\(460\) | 7.08245 | − | 11.2447i | 0.330221 | − | 0.524288i | ||||
\(461\) | 7.22647 | + | 22.2408i | 0.336570 | + | 1.03586i | 0.965943 | + | 0.258753i | \(0.0833117\pi\) |
−0.629373 | + | 0.777103i | \(0.716688\pi\) | |||||||
\(462\) | −0.733026 | + | 1.64640i | −0.0341035 | + | 0.0765977i | ||||
\(463\) | −17.0025 | + | 23.4019i | −0.790171 | + | 1.08758i | 0.203916 | + | 0.978988i | \(0.434633\pi\) |
−0.994087 | + | 0.108589i | \(0.965367\pi\) | |||||||
\(464\) | −8.78674 | −0.407914 | ||||||||
\(465\) | 11.4080 | + | 4.98573i | 0.529033 | + | 0.231208i | ||||
\(466\) | 24.3137 | 1.12631 | ||||||||
\(467\) | −10.6970 | + | 14.7232i | −0.495000 | + | 0.681309i | −0.981300 | − | 0.192482i | \(-0.938346\pi\) |
0.486300 | + | 0.873792i | \(0.338346\pi\) | |||||||
\(468\) | −0.567628 | + | 1.27491i | −0.0262386 | + | 0.0589329i | ||||
\(469\) | −2.95945 | − | 9.10824i | −0.136654 | − | 0.420579i | ||||
\(470\) | 24.6260 | + | 15.5106i | 1.13591 | + | 0.715451i | ||||
\(471\) | −0.165163 | − | 0.286070i | −0.00761029 | − | 0.0131814i | ||||
\(472\) | 1.89069 | + | 1.70239i | 0.0870261 | + | 0.0783587i | ||||
\(473\) | 5.71528 | + | 1.85701i | 0.262789 | + | 0.0853853i | ||||
\(474\) | 0.425106 | + | 0.472128i | 0.0195258 | + | 0.0216856i | ||||
\(475\) | 21.4424 | − | 7.63142i | 0.983846 | − | 0.350154i | ||||
\(476\) | −14.4345 | − | 3.06816i | −0.661606 | − | 0.140629i | ||||
\(477\) | 0.586723 | + | 0.0616671i | 0.0268642 | + | 0.00282354i | ||||
\(478\) | 12.5629 | − | 1.32041i | 0.574612 | − | 0.0603942i | ||||
\(479\) | −7.28072 | + | 1.54756i | −0.332664 | + | 0.0707100i | −0.371216 | − | 0.928547i | \(-0.621059\pi\) |
0.0385514 | + | 0.999257i | \(0.487726\pi\) | |||||||
\(480\) | −1.24377 | − | 1.85824i | −0.0567699 | − | 0.0848166i | ||||
\(481\) | −12.3904 | + | 9.00218i | −0.564955 | + | 0.410464i | ||||
\(482\) | −2.25497 | − | 10.6088i | −0.102711 | − | 0.483218i | ||||
\(483\) | −15.3793 | + | 1.61643i | −0.699782 | + | 0.0735501i | ||||
\(484\) | −1.09967 | + | 10.4626i | −0.0499849 | + | 0.475574i | ||||
\(485\) | −31.1650 | − | 7.88863i | −1.41513 | − | 0.358204i | ||||
\(486\) | 0.913545 | − | 0.406737i | 0.0414393 | − | 0.0184499i | ||||
\(487\) | 13.3940 | − | 12.0600i | 0.606939 | − | 0.546490i | −0.307328 | − | 0.951604i | \(-0.599435\pi\) |
0.914266 | + | 0.405114i | \(0.132768\pi\) | |||||||
\(488\) | −13.5050 | − | 4.38804i | −0.611342 | − | 0.198637i | ||||
\(489\) | −15.5600 | + | 17.2811i | −0.703647 | + | 0.781479i | ||||
\(490\) | −0.239453 | − | 0.454251i | −0.0108174 | − | 0.0205210i | ||||
\(491\) | 9.32779 | − | 16.1562i | 0.420957 | − | 0.729120i | −0.575076 | − | 0.818100i | \(-0.695027\pi\) |
0.996033 | + | 0.0889803i | \(0.0283608\pi\) | |||||||
\(492\) | −5.26356 | + | 1.71024i | −0.237300 | + | 0.0771034i | ||||
\(493\) | −20.2691 | + | 45.5251i | −0.912874 | + | 2.05035i | ||||
\(494\) | 5.13937 | + | 3.73397i | 0.231231 | + | 0.167999i | ||||
\(495\) | −0.0595781 | + | 1.54762i | −0.00267784 | + | 0.0695603i | ||||
\(496\) | −5.18381 | − | 2.03178i | −0.232760 | − | 0.0912296i | ||||
\(497\) | − | 22.7852i | − | 1.02206i | ||||||
\(498\) | 5.09257 | − | 7.00933i | 0.228204 | − | 0.314095i | ||||
\(499\) | −12.5957 | − | 5.60795i | −0.563859 | − | 0.251046i | 0.104954 | − | 0.994477i | \(-0.466531\pi\) |
−0.668813 | + | 0.743431i | \(0.733197\pi\) | |||||||
\(500\) | −10.9603 | + | 2.20723i | −0.490159 | + | 0.0987104i | ||||
\(501\) | 5.51775 | − | 9.55702i | 0.246515 | − | 0.426976i | ||||
\(502\) | −2.66006 | + | 1.53578i | −0.118724 | + | 0.0685454i | ||||
\(503\) | −16.3234 | − | 14.6977i | −0.727826 | − | 0.655337i | 0.219499 | − | 0.975613i | \(-0.429558\pi\) |
−0.947324 | + | 0.320275i | \(0.896225\pi\) | |||||||
\(504\) | −0.804059 | + | 2.47464i | −0.0358157 | + | 0.110229i | ||||
\(505\) | 30.4853 | − | 25.3953i | 1.35658 | − | 1.13007i | ||||
\(506\) | 3.76051 | − | 1.67429i | 0.167175 | − | 0.0744312i | ||||
\(507\) | 2.29792 | − | 10.8109i | 0.102054 | − | 0.480128i | ||||
\(508\) | −2.35810 | − | 0.247846i | −0.104624 | − | 0.0109964i | ||||
\(509\) | −1.63424 | − | 15.5487i | −0.0724363 | − | 0.689186i | −0.969133 | − | 0.246540i | \(-0.920706\pi\) |
0.896696 | − | 0.442646i | \(-0.145960\pi\) | |||||||
\(510\) | −12.4968 | + | 2.15754i | −0.553369 | + | 0.0955377i | ||||
\(511\) | −32.0401 | + | 23.2785i | −1.41737 | + | 1.02978i | ||||
\(512\) | 0.587785 | + | 0.809017i | 0.0259767 | + | 0.0357538i | ||||
\(513\) | −0.946413 | − | 4.45252i | −0.0417851 | − | 0.196584i | ||||
\(514\) | 1.52139 | + | 14.4751i | 0.0671059 | + | 0.638470i | ||||
\(515\) | 3.70935 | − | 25.7265i | 0.163454 | − | 1.13364i | ||||
\(516\) | 8.48663 | + | 1.80389i | 0.373603 | + | 0.0794118i | ||||
\(517\) | 3.66670 | + | 8.23555i | 0.161261 | + | 0.362199i | ||||
\(518\) | −21.2206 | + | 19.1071i | −0.932379 | + | 0.839518i | ||||
\(519\) | −1.14191 | + | 3.51443i | −0.0501242 | + | 0.154266i | ||||
\(520\) | −2.23700 | − | 2.17574i | −0.0980991 | − | 0.0954126i | ||||
\(521\) | −4.59771 | − | 7.96347i | −0.201430 | − | 0.348886i | 0.747560 | − | 0.664195i | \(-0.231225\pi\) |
−0.948989 | + | 0.315308i | \(0.897892\pi\) | |||||||
\(522\) | 7.60954 | + | 4.39337i | 0.333061 | + | 0.192293i | ||||
\(523\) | 37.6158 | − | 12.2221i | 1.64482 | − | 0.534436i | 0.667215 | − | 0.744865i | \(-0.267486\pi\) |
0.977609 | + | 0.210429i | \(0.0674862\pi\) | |||||||
\(524\) | 1.55281 | + | 0.691356i | 0.0678348 | + | 0.0302020i | ||||
\(525\) | 9.90622 | + | 8.43360i | 0.432343 | + | 0.368073i | ||||
\(526\) | 16.6943 | 0.727905 | ||||||||
\(527\) | −22.4848 | + | 22.1710i | −0.979453 | + | 0.965786i | ||||
\(528\) | − | 0.692629i | − | 0.0301428i | ||||||
\(529\) | 9.96790 | + | 7.24210i | 0.433387 | + | 0.314874i | ||||
\(530\) | −0.582520 | + | 1.18360i | −0.0253031 | + | 0.0514122i | ||||
\(531\) | −0.786193 | − | 2.41965i | −0.0341179 | − | 0.105004i | ||||
\(532\) | 10.2574 | + | 5.92212i | 0.444715 | + | 0.256757i | ||||
\(533\) | −6.68890 | + | 3.86184i | −0.289729 | + | 0.167275i | ||||
\(534\) | 3.93733 | − | 4.37284i | 0.170385 | − | 0.189231i | ||||
\(535\) | −10.4761 | + | 28.4660i | −0.452919 | + | 1.23069i | ||||
\(536\) | 2.46282 | + | 2.73524i | 0.106378 | + | 0.118144i | ||||
\(537\) | 7.90880 | + | 17.7635i | 0.341290 | + | 0.766550i | ||||
\(538\) | −3.80463 | + | 17.8994i | −0.164029 | + | 0.771696i | ||||
\(539\) | 0.0166261 | − | 0.158187i | 0.000716136 | − | 0.00681358i | ||||
\(540\) | 0.148014 | + | 2.23116i | 0.00636949 | + | 0.0960140i | ||||
\(541\) | 19.4143 | − | 4.12664i | 0.834687 | − | 0.177418i | 0.229306 | − | 0.973354i | \(-0.426354\pi\) |
0.605381 | + | 0.795936i | \(0.293021\pi\) | |||||||
\(542\) | −3.11869 | − | 4.29250i | −0.133959 | − | 0.184379i | ||||
\(543\) | 2.74907 | + | 3.78377i | 0.117974 | + | 0.162377i | ||||
\(544\) | 5.54750 | − | 1.17916i | 0.237847 | − | 0.0505560i | ||||
\(545\) | 18.6199 | − | 1.23523i | 0.797590 | − | 0.0529114i | ||||
\(546\) | −0.379569 | + | 3.61136i | −0.0162441 | + | 0.154552i | ||||
\(547\) | 0.270950 | − | 1.27472i | 0.0115850 | − | 0.0545030i | −0.971975 | − | 0.235083i | \(-0.924464\pi\) |
0.983560 | + | 0.180579i | \(0.0577973\pi\) | |||||||
\(548\) | 2.14572 | + | 4.81937i | 0.0916608 | + | 0.205873i | ||||
\(549\) | 9.50164 | + | 10.5526i | 0.405520 | + | 0.450376i | ||||
\(550\) | −3.20162 | − | 1.32022i | −0.136518 | − | 0.0562942i | ||||
\(551\) | 26.7634 | − | 29.7237i | 1.14016 | − | 1.26627i | ||||
\(552\) | 5.14692 | − | 2.97157i | 0.219067 | − | 0.126479i | ||||
\(553\) | 1.43160 | + | 0.826537i | 0.0608780 | + | 0.0351479i | ||||
\(554\) | 3.11863 | + | 9.59815i | 0.132498 | + | 0.407786i | ||||
\(555\) | −10.8360 | + | 22.0173i | −0.459964 | + | 0.934581i | ||||
\(556\) | −10.6674 | − | 7.75028i | −0.452396 | − | 0.328685i | ||||
\(557\) | 10.9800i | 0.465237i | 0.972568 | + | 0.232618i | \(0.0747293\pi\) | ||||
−0.972568 | + | 0.232618i | \(0.925271\pi\) | |||||||
\(558\) | 3.47342 | + | 4.35148i | 0.147042 | + | 0.184213i | ||||
\(559\) | 12.1083 | 0.512125 | ||||||||
\(560\) | −4.57201 | − | 3.59841i | −0.193202 | − | 0.152061i | ||||
\(561\) | −3.58859 | − | 1.59774i | −0.151510 | − | 0.0674568i | ||||
\(562\) | 13.3997 | − | 4.35383i | 0.565232 | − | 0.183655i | ||||
\(563\) | −11.2856 | − | 6.51575i | −0.475632 | − | 0.274606i | 0.242963 | − | 0.970036i | \(-0.421881\pi\) |
−0.718594 | + | 0.695430i | \(0.755214\pi\) | |||||||
\(564\) | 6.50776 | + | 11.2718i | 0.274026 | + | 0.474627i | ||||
\(565\) | 8.76070 | − | 9.00738i | 0.368566 | − | 0.378943i | ||||
\(566\) | −2.84093 | + | 8.74348i | −0.119413 | + | 0.367516i | ||||
\(567\) | 1.93366 | − | 1.74107i | 0.0812059 | − | 0.0731181i | ||||
\(568\) | 3.56172 | + | 7.99976i | 0.149447 | + | 0.335663i | ||||
\(569\) | −25.4605 | − | 5.41179i | −1.06736 | − | 0.226874i | −0.359440 | − | 0.933168i | \(-0.617032\pi\) |
−0.707918 | + | 0.706294i | \(0.750366\pi\) | |||||||
\(570\) | 10.0744 | + | 1.45257i | 0.421970 | + | 0.0608414i | ||||
\(571\) | −0.0480876 | − | 0.457523i | −0.00201240 | − | 0.0191467i | 0.993470 | − | 0.114097i | \(-0.0363975\pi\) |
−0.995482 | + | 0.0949503i | \(0.969731\pi\) | |||||||
\(572\) | −0.200970 | − | 0.945488i | −0.00840296 | − | 0.0395328i | ||||
\(573\) | −3.64454 | − | 5.01628i | −0.152253 | − | 0.209558i | ||||
\(574\) | −11.6503 | + | 8.46443i | −0.486274 | + | 0.353299i | ||||
\(575\) | −3.92536 | − | 29.4553i | −0.163699 | − | 1.22837i | ||||
\(576\) | −0.104528 | − | 0.994522i | −0.00435535 | − | 0.0414384i | ||||
\(577\) | 20.7934 | + | 2.18548i | 0.865641 | + | 0.0909825i | 0.526931 | − | 0.849908i | \(-0.323343\pi\) |
0.338710 | + | 0.940891i | \(0.390009\pi\) | |||||||
\(578\) | 3.15302 | − | 14.8338i | 0.131148 | − | 0.617005i | ||||
\(579\) | −17.5086 | + | 7.79534i | −0.727633 | + | 0.323963i | ||||
\(580\) | −15.0961 | + | 12.5755i | −0.626830 | + | 0.522169i | ||||
\(581\) | 6.96637 | − | 21.4403i | 0.289014 | − | 0.889493i | ||||
\(582\) | −10.6842 | − | 9.62008i | −0.442874 | − | 0.398765i | ||||
\(583\) | −0.353875 | + | 0.204310i | −0.0146560 | + | 0.00846165i | ||||
\(584\) | 7.61027 | − | 13.1814i | 0.314915 | − | 0.545449i | ||||
\(585\) | 0.849432 | + | 3.00275i | 0.0351197 | + | 0.124148i | ||||
\(586\) | −14.9047 | − | 6.63599i | −0.615706 | − | 0.274130i | ||||
\(587\) | −9.93058 | + | 13.6683i | −0.409879 | + | 0.564150i | −0.963189 | − | 0.268826i | \(-0.913364\pi\) |
0.553310 | + | 0.832975i | \(0.313364\pi\) | |||||||
\(588\) | − | 0.229644i | − | 0.00947035i | ||||||
\(589\) | 22.6623 | − | 11.3472i | 0.933785 | − | 0.467553i | ||||
\(590\) | 5.68474 | + | 0.218843i | 0.234037 | + | 0.00900964i | ||||
\(591\) | −6.35457 | − | 4.61687i | −0.261392 | − | 0.189913i | ||||
\(592\) | 4.46366 | − | 10.0256i | 0.183455 | − | 0.412048i | ||||
\(593\) | 16.5820 | − | 5.38781i | 0.680940 | − | 0.221251i | 0.0519332 | − | 0.998651i | \(-0.483462\pi\) |
0.629007 | + | 0.777400i | \(0.283462\pi\) | |||||||
\(594\) | −0.346314 | + | 0.599834i | −0.0142095 | + | 0.0246115i | ||||
\(595\) | −29.1904 | + | 15.3873i | −1.19669 | + | 0.630820i | ||||
\(596\) | 14.3991 | − | 15.9918i | 0.589810 | − | 0.655051i | ||||
\(597\) | 23.1663 | + | 7.52718i | 0.948132 | + | 0.308067i | ||||
\(598\) | 6.16369 | − | 5.54981i | 0.252052 | − | 0.226949i | ||||
\(599\) | −19.8724 | + | 8.84776i | −0.811964 | + | 0.361510i | −0.770348 | − | 0.637624i | \(-0.779917\pi\) |
−0.0416165 | + | 0.999134i | \(0.513251\pi\) | |||||||
\(600\) | −4.79634 | − | 1.41248i | −0.195810 | − | 0.0576642i | ||||
\(601\) | 0.121973 | − | 1.16050i | 0.00497539 | − | 0.0473377i | −0.991753 | − | 0.128168i | \(-0.959090\pi\) |
0.996728 | + | 0.0808300i | \(0.0257571\pi\) | |||||||
\(602\) | 22.4518 | − | 2.35978i | 0.915066 | − | 0.0961774i | ||||
\(603\) | −0.765246 | − | 3.60020i | −0.0311632 | − | 0.146611i | ||||
\(604\) | 10.9422 | − | 7.95000i | 0.445233 | − | 0.323481i | ||||
\(605\) | 13.0847 | + | 19.5492i | 0.531970 | + | 0.794786i | ||||
\(606\) | 17.3564 | − | 3.68922i | 0.705056 | − | 0.149864i | ||||
\(607\) | 34.4685 | − | 3.62279i | 1.39903 | − | 0.147044i | 0.625216 | − | 0.780452i | \(-0.285011\pi\) |
0.773819 | + | 0.633407i | \(0.218344\pi\) | |||||||
\(608\) | −4.52706 | − | 0.475813i | −0.183596 | − | 0.0192968i | ||||
\(609\) | 22.3634 | + | 4.75349i | 0.906211 | + | 0.192621i | ||||
\(610\) | −29.4823 | + | 11.7893i | −1.19371 | + | 0.477337i | ||||
\(611\) | 12.1541 | + | 13.4985i | 0.491703 | + | 0.546091i | ||||
\(612\) | −5.39386 | − | 1.75257i | −0.218034 | − | 0.0708435i | ||||
\(613\) | −24.7930 | − | 22.3238i | −1.00138 | − | 0.901648i | −0.00622810 | − | 0.999981i | \(-0.501982\pi\) |
−0.995154 | + | 0.0983325i | \(0.968649\pi\) | |||||||
\(614\) | −16.4863 | − | 28.5551i | −0.665332 | − | 1.15239i | ||||
\(615\) | −6.59539 | + | 10.4714i | −0.265952 | + | 0.422249i | ||||
\(616\) | −0.556915 | − | 1.71401i | −0.0224387 | − | 0.0690593i | ||||
\(617\) | −8.46305 | + | 19.0083i | −0.340710 | + | 0.765246i | 0.659202 | + | 0.751966i | \(0.270894\pi\) |
−0.999912 | + | 0.0132806i | \(0.995773\pi\) | |||||||
\(618\) | 6.83254 | − | 9.40418i | 0.274845 | − | 0.378292i | ||||
\(619\) | 28.1871 | 1.13293 | 0.566467 | − | 0.824084i | \(-0.308310\pi\) | ||||
0.566467 | + | 0.824084i | \(0.308310\pi\) | |||||||
\(620\) | −11.8139 | + | 3.92832i | −0.474458 | + | 0.157765i | ||||
\(621\) | −5.94315 | −0.238490 | ||||||||
\(622\) | 4.68635 | − | 6.45020i | 0.187905 | − | 0.258630i | ||||
\(623\) | 6.22744 | − | 13.9871i | 0.249497 | − | 0.560380i | ||||
\(624\) | −0.431254 | − | 1.32726i | −0.0172640 | − | 0.0531331i | ||||
\(625\) | −15.6714 | + | 19.4784i | −0.626854 | + | 0.779136i | ||||
\(626\) | 9.59091 | + | 16.6120i | 0.383330 | + | 0.663947i | ||||
\(627\) | 2.34302 | + | 2.10966i | 0.0935712 | + | 0.0842518i | ||||
\(628\) | 0.314158 | + | 0.102076i | 0.0125363 | + | 0.00407328i | ||||
\(629\) | −41.6468 | − | 46.2535i | −1.66057 | − | 1.84425i | ||||
\(630\) | 2.16027 | + | 5.40232i | 0.0860672 | + | 0.215233i | ||||
\(631\) | 4.44186 | + | 0.944146i | 0.176828 | + | 0.0375858i | 0.295474 | − | 0.955351i | \(-0.404522\pi\) |
−0.118647 | + | 0.992937i | \(0.537856\pi\) | |||||||
\(632\) | −0.631831 | − | 0.0664081i | −0.0251329 | − | 0.00264157i | ||||
\(633\) | −3.48394 | + | 0.366177i | −0.138474 | + | 0.0145542i | ||||
\(634\) | 3.48896 | − | 0.741602i | 0.138564 | − | 0.0294528i | ||||
\(635\) | −4.40605 | + | 2.94908i | −0.174849 | + | 0.117031i | ||||
\(636\) | −0.477284 | + | 0.346767i | −0.0189255 | + | 0.0137502i | ||||
\(637\) | −0.0666322 | − | 0.313480i | −0.00264007 | − | 0.0124205i | ||||
\(638\) | −6.05261 | + | 0.636155i | −0.239625 | + | 0.0251856i | ||||
\(639\) | 0.915338 | − | 8.70886i | 0.0362102 | − | 0.344517i | ||||
\(640\) | 2.16770 | + | 0.548698i | 0.0856859 | + | 0.0216892i | ||||
\(641\) | −22.9699 | + | 10.2269i | −0.907257 | + | 0.403937i | −0.806677 | − | 0.590992i | \(-0.798736\pi\) |
−0.100580 | + | 0.994929i | \(0.532070\pi\) | |||||||
\(642\) | −10.0808 | + | 9.07683i | −0.397859 | + | 0.358234i | ||||
\(643\) | −41.4839 | − | 13.4789i | −1.63597 | − | 0.531558i | −0.660335 | − | 0.750971i | \(-0.729586\pi\) |
−0.975632 | + | 0.219413i | \(0.929586\pi\) | |||||||
\(644\) | 10.3474 | − | 11.4920i | 0.407746 | − | 0.452848i | ||||
\(645\) | 17.1622 | − | 9.04681i | 0.675759 | − | 0.356218i | ||||
\(646\) | −12.9082 | + | 22.3576i | −0.507865 | + | 0.879648i | ||||
\(647\) | −17.5338 | + | 5.69707i | −0.689324 | + | 0.223975i | −0.632673 | − | 0.774419i | \(-0.718042\pi\) |
−0.0566508 | + | 0.998394i | \(0.518042\pi\) | |||||||
\(648\) | −0.406737 | + | 0.913545i | −0.0159781 | + | 0.0358875i | ||||
\(649\) | 1.42563 | + | 1.03578i | 0.0559607 | + | 0.0406578i | ||||
\(650\) | −6.95719 | − | 0.536452i | −0.272883 | − | 0.0210414i | ||||
\(651\) | 12.0943 | + | 7.97550i | 0.474013 | + | 0.312585i | ||||
\(652\) | − | 23.2540i | − | 0.910699i | ||||||
\(653\) | −28.4708 | + | 39.1867i | −1.11415 | + | 1.53350i | −0.298993 | + | 0.954255i | \(0.596651\pi\) |
−0.815157 | + | 0.579240i | \(0.803349\pi\) | |||||||
\(654\) | 7.62389 | + | 3.39437i | 0.298118 | + | 0.132731i | ||||
\(655\) | 3.65727 | − | 1.03458i | 0.142901 | − | 0.0404246i | ||||
\(656\) | 2.76722 | − | 4.79296i | 0.108042 | − | 0.187134i | ||||
\(657\) | −13.1814 | + | 7.61027i | −0.514254 | + | 0.296905i | ||||
\(658\) | 25.1675 | + | 22.6610i | 0.981133 | + | 0.883416i | ||||
\(659\) | 3.75292 | − | 11.5503i | 0.146193 | − | 0.449936i | −0.850969 | − | 0.525215i | \(-0.823985\pi\) |
0.997163 | + | 0.0752790i | \(0.0239847\pi\) | |||||||
\(660\) | −0.991284 | − | 1.18997i | −0.0385857 | − | 0.0463195i | ||||
\(661\) | 10.3445 | − | 4.60569i | 0.402356 | − | 0.179141i | −0.195573 | − | 0.980689i | \(-0.562657\pi\) |
0.597930 | + | 0.801548i | \(0.295990\pi\) | |||||||
\(662\) | 0.357308 | − | 1.68100i | 0.0138872 | − | 0.0653340i | ||||
\(663\) | −7.87151 | − | 0.827329i | −0.305704 | − | 0.0321308i | ||||
\(664\) | 0.905635 | + | 8.61654i | 0.0351455 | + | 0.334387i | ||||
\(665\) | 26.0984 | − | 4.50582i | 1.01205 | − | 0.174728i | ||||
\(666\) | −8.87842 | + | 6.45055i | −0.344032 | + | 0.249954i | ||||
\(667\) | −30.6947 | − | 42.2476i | −1.18850 | − | 1.63583i | ||||
\(668\) | 2.29441 | + | 10.7943i | 0.0887733 | + | 0.417646i | ||||
\(669\) | −0.685703 | − | 6.52403i | −0.0265108 | − | 0.252233i | ||||
\(670\) | 8.14590 | + | 1.17451i | 0.314704 | + | 0.0453753i | ||||
\(671\) | −9.62039 | − | 2.04488i | −0.371391 | − | 0.0789416i | ||||
\(672\) | −1.05833 | − | 2.37704i | −0.0408258 | − | 0.0916962i | ||||
\(673\) | −5.12940 | + | 4.61853i | −0.197724 | + | 0.178031i | −0.762045 | − | 0.647524i | \(-0.775805\pi\) |
0.564321 | + | 0.825555i | \(0.309138\pi\) | |||||||
\(674\) | 8.37815 | − | 25.7853i | 0.322714 | − | 0.993212i | ||||
\(675\) | 3.44752 | + | 3.62141i | 0.132695 | + | 0.139388i | ||||
\(676\) | 5.52620 | + | 9.57165i | 0.212546 | + | 0.368140i | ||||
\(677\) | 30.8683 | + | 17.8218i | 1.18637 | + | 0.684949i | 0.957479 | − | 0.288504i | \(-0.0931578\pi\) |
0.228888 | + | 0.973453i | \(0.426491\pi\) | |||||||
\(678\) | 5.34427 | − | 1.73646i | 0.205246 | − | 0.0666884i | ||||
\(679\) | −34.1746 | − | 15.2155i | −1.31150 | − | 0.583918i | ||||
\(680\) | 7.84328 | − | 9.96538i | 0.300776 | − | 0.382155i | ||||
\(681\) | −11.6998 | −0.448337 | ||||||||
\(682\) | −3.71789 | − | 1.02425i | −0.142365 | − | 0.0392207i | ||||
\(683\) | 23.8764i | 0.913604i | 0.889568 | + | 0.456802i | \(0.151005\pi\) | ||||
−0.889568 | + | 0.456802i | \(0.848995\pi\) | |||||||
\(684\) | 3.68264 | + | 2.67559i | 0.140809 | + | 0.102304i | ||||
\(685\) | 10.5839 | + | 5.20898i | 0.404390 | + | 0.199025i | ||||
\(686\) | −5.81306 | − | 17.8908i | −0.221944 | − | 0.683073i | ||||
\(687\) | −8.96219 | − | 5.17432i | −0.341929 | − | 0.197413i | ||||
\(688\) | −7.51383 | + | 4.33811i | −0.286462 | + | 0.165389i | ||||
\(689\) | −0.550910 | + | 0.611847i | −0.0209880 | + | 0.0233095i | ||||
\(690\) | 4.58977 | − | 12.4715i | 0.174729 | − | 0.474783i | ||||
\(691\) | 6.41657 | + | 7.12632i | 0.244098 | + | 0.271098i | 0.852727 | − | 0.522357i | \(-0.174947\pi\) |
−0.608629 | + | 0.793455i | \(0.708280\pi\) | |||||||
\(692\) | −1.50301 | − | 3.37582i | −0.0571359 | − | 0.128329i | ||||
\(693\) | −0.374701 | + | 1.76283i | −0.0142337 | + | 0.0669644i | ||||
\(694\) | 0.889088 | − | 8.45911i | 0.0337493 | − | 0.321103i | ||||
\(695\) | −29.4192 | + | 1.95164i | −1.11593 | + | 0.0740300i | ||||
\(696\) | −8.59473 | + | 1.82687i | −0.325782 | + | 0.0692472i | ||||
\(697\) | −18.4495 | − | 25.3936i | −0.698826 | − | 0.961851i | ||||
\(698\) | −4.76383 | − | 6.55685i | −0.180314 | − | 0.248180i | ||||
\(699\) | 23.7824 | − | 5.05510i | 0.899532 | − | 0.191201i | ||||
\(700\) | −13.0049 | + | 0.361168i | −0.491541 | + | 0.0136509i | ||||
\(701\) | −1.10679 | + | 10.5304i | −0.0418028 | + | 0.397727i | 0.953535 | + | 0.301281i | \(0.0974143\pi\) |
−0.995338 | + | 0.0964463i | \(0.969252\pi\) | |||||||
\(702\) | −0.290155 | + | 1.36507i | −0.0109512 | + | 0.0515213i | ||||
\(703\) | 20.3186 | + | 45.6363i | 0.766329 | + | 1.72120i | ||||
\(704\) | 0.463459 | + | 0.514724i | 0.0174673 | + | 0.0193994i | ||||
\(705\) | 27.3127 | + | 10.0516i | 1.02866 | + | 0.378566i | ||||
\(706\) | 15.5667 | − | 17.2885i | 0.585859 | − | 0.650662i | ||||
\(707\) | 39.9845 | − | 23.0851i | 1.50377 | − | 0.868203i | ||||
\(708\) | 2.20332 | + | 1.27209i | 0.0828059 | + | 0.0478080i | ||||
\(709\) | 7.58181 | + | 23.3344i | 0.284741 | + | 0.876342i | 0.986476 | + | 0.163904i | \(0.0524088\pi\) |
−0.701736 | + | 0.712438i | \(0.747591\pi\) | |||||||
\(710\) | 17.5684 | + | 8.64648i | 0.659331 | + | 0.324497i | ||||
\(711\) | 0.513977 | + | 0.373426i | 0.0192757 | + | 0.0140046i | ||||
\(712\) | 5.88424i | 0.220521i | ||||||||
\(713\) | −8.33956 | − | 32.0219i | −0.312319 | − | 1.19923i | ||||
\(714\) | −14.7570 | −0.552268 | ||||||||
\(715\) | −1.69845 | − | 1.33677i | −0.0635184 | − | 0.0499923i | ||||
\(716\) | −17.7635 | − | 7.90880i | −0.663851 | − | 0.295566i | ||||
\(717\) | 12.0138 | − | 3.90353i | 0.448664 | − | 0.145780i | ||||
\(718\) | −3.91743 | − | 2.26173i | −0.146197 | − | 0.0844069i | ||||
\(719\) | −5.53602 | − | 9.58867i | −0.206459 | − | 0.357597i | 0.744138 | − | 0.668026i | \(-0.232861\pi\) |
−0.950597 | + | 0.310429i | \(0.899527\pi\) | |||||||
\(720\) | −1.60294 | − | 1.55904i | −0.0597379 | − | 0.0581019i | ||||
\(721\) | 9.34655 | − | 28.7657i | 0.348084 | − | 1.07129i | ||||
\(722\) | 1.27869 | − | 1.15134i | 0.0475880 | − | 0.0428484i | ||||
\(723\) | −4.41139 | − | 9.90814i | −0.164061 | − | 0.368488i | ||||
\(724\) | −4.57479 | − | 0.972401i | −0.170021 | − | 0.0361390i | ||||
\(725\) | −7.93783 | + | 43.2107i | −0.294803 | + | 1.60480i | ||||
\(726\) | 1.09967 | + | 10.4626i | 0.0408125 | + | 0.388305i | ||||
\(727\) | 5.54842 | + | 26.1033i | 0.205779 | + | 0.968116i | 0.952866 | + | 0.303390i | \(0.0981185\pi\) |
−0.747087 | + | 0.664726i | \(0.768548\pi\) | |||||||
\(728\) | −2.13440 | − | 2.93775i | −0.0791060 | − | 0.108880i | ||||
\(729\) | 0.809017 | − | 0.587785i | 0.0299636 | − | 0.0217698i | ||||
\(730\) | −5.79024 | − | 33.5380i | −0.214306 | − | 1.24130i | ||||
\(731\) | 5.14350 | + | 48.9371i | 0.190239 | + | 1.81000i | ||||
\(732\) | −14.1222 | − | 1.48430i | −0.521971 | − | 0.0548614i | ||||
\(733\) | 8.97575 | − | 42.2276i | 0.331527 | − | 1.55971i | −0.424659 | − | 0.905353i | \(-0.639606\pi\) |
0.756186 | − | 0.654357i | \(-0.227061\pi\) | |||||||
\(734\) | −2.15685 | + | 0.960294i | −0.0796110 | + | 0.0354451i | ||||
\(735\) | −0.328664 | − | 0.394539i | −0.0121230 | − | 0.0145528i | ||||
\(736\) | −1.83653 | + | 5.65227i | −0.0676955 | + | 0.208345i | ||||
\(737\) | 1.89451 | + | 1.70582i | 0.0697851 | + | 0.0628348i | ||||
\(738\) | −4.79296 | + | 2.76722i | −0.176431 | + | 0.101863i | ||||
\(739\) | 13.6377 | − | 23.6212i | 0.501672 | − | 0.868922i | −0.498326 | − | 0.866990i | \(-0.666052\pi\) |
0.999998 | − | 0.00193182i | \(-0.000614918\pi\) | |||||||
\(740\) | −6.67968 | − | 23.6127i | −0.245550 | − | 0.868022i | ||||
\(741\) | 5.80340 | + | 2.58384i | 0.213193 | + | 0.0949198i | ||||
\(742\) | −0.902284 | + | 1.24189i | −0.0331239 | + | 0.0455911i | ||||
\(743\) | 4.22363i | 0.154950i | 0.996994 | + | 0.0774750i | \(0.0246858\pi\) | ||||
−0.996994 | + | 0.0774750i | \(0.975314\pi\) | |||||||
\(744\) | −5.49296 | − | 0.909605i | −0.201382 | − | 0.0333477i | ||||
\(745\) | 1.85102 | − | 48.0826i | 0.0678161 | − | 1.76161i | ||||
\(746\) | 1.23682 | + | 0.898606i | 0.0452834 | + | 0.0329003i | ||||
\(747\) | 3.52397 | − | 7.91496i | 0.128935 | − | 0.289593i | ||||
\(748\) | 3.73594 | − | 1.21388i | 0.136600 | − | 0.0443839i | ||||
\(749\) | −17.6482 | + | 30.5675i | −0.644849 | + | 1.11691i | ||||
\(750\) | −10.2619 | + | 4.43777i | −0.374711 | + | 0.162045i | ||||
\(751\) | 29.9083 | − | 33.2165i | 1.09137 | − | 1.21209i | 0.115597 | − | 0.993296i | \(-0.463122\pi\) |
0.975772 | − | 0.218792i | \(-0.0702116\pi\) | |||||||
\(752\) | −12.3785 | − | 4.02202i | −0.451397 | − | 0.146668i | ||||
\(753\) | −2.28262 | + | 2.05528i | −0.0831833 | + | 0.0748986i | ||||
\(754\) | −11.2023 | + | 4.98761i | −0.407965 | + | 0.181638i | ||||
\(755\) | 7.42134 | − | 29.3189i | 0.270090 | − | 1.06703i | ||||
\(756\) | −0.271982 | + | 2.58774i | −0.00989189 | + | 0.0941151i | ||||
\(757\) | −12.9221 | + | 1.35817i | −0.469663 | + | 0.0493635i | −0.336404 | − | 0.941718i | \(-0.609211\pi\) |
−0.133259 | + | 0.991081i | \(0.542544\pi\) | |||||||
\(758\) | −4.84144 | − | 22.7772i | −0.175849 | − | 0.827305i | ||||
\(759\) | 3.33023 | − | 2.41956i | 0.120880 | − | 0.0878243i | ||||
\(760\) | −8.45869 | + | 5.66161i | −0.306829 | + | 0.205368i | ||||
\(761\) | −1.32986 | + | 0.282669i | −0.0482072 | + | 0.0102468i | −0.231952 | − | 0.972727i | \(-0.574511\pi\) |
0.183745 | + | 0.982974i | \(0.441178\pi\) | |||||||
\(762\) | −2.35810 | + | 0.247846i | −0.0854250 | + | 0.00897853i | ||||
\(763\) | 21.5957 | + | 2.26980i | 0.781815 | + | 0.0821721i | ||||
\(764\) | 6.06496 | + | 1.28915i | 0.219423 | + | 0.0466397i | ||||
\(765\) | −11.7752 | + | 4.70864i | −0.425732 | + | 0.170241i | ||||
\(766\) | 17.8170 | + | 19.7877i | 0.643753 | + | 0.714960i | ||||
\(767\) | 3.37679 | + | 1.09719i | 0.121929 | + | 0.0396171i | ||||
\(768\) | 0.743145 | + | 0.669131i | 0.0268159 | + | 0.0241452i | ||||
\(769\) | 11.8474 | + | 20.5203i | 0.427228 | + | 0.739981i | 0.996626 | − | 0.0820811i | \(-0.0261567\pi\) |
−0.569397 | + | 0.822063i | \(0.692823\pi\) | |||||||
\(770\) | −3.40988 | − | 2.14770i | −0.122883 | − | 0.0773977i | ||||
\(771\) | 4.49769 | + | 13.8425i | 0.161980 | + | 0.498525i | ||||
\(772\) | 7.79534 | − | 17.5086i | 0.280560 | − | 0.630149i | ||||
\(773\) | 20.2918 | − | 27.9292i | 0.729844 | − | 1.00454i | −0.269295 | − | 0.963058i | \(-0.586791\pi\) |
0.999139 | − | 0.0414862i | \(-0.0132093\pi\) | |||||||
\(774\) | 8.67622 | 0.311860 | ||||||||
\(775\) | −14.6747 | + | 23.6570i | −0.527130 | + | 0.849784i | ||||
\(776\) | 14.3770 | 0.516104 | ||||||||
\(777\) | −16.7843 | + | 23.1016i | −0.602132 | + | 0.828764i | ||||
\(778\) | 9.05300 | − | 20.3334i | 0.324566 | − | 0.728987i | ||||
\(779\) | 7.78498 | + | 23.9597i | 0.278926 | + | 0.858446i | ||||
\(780\) | −2.64048 | − | 1.66310i | −0.0945445 | − | 0.0595484i | ||||
\(781\) | 3.03262 | + | 5.25265i | 0.108516 | + | 0.187955i | ||||
\(782\) | 25.0486 | + | 22.5538i | 0.895735 | + | 0.806524i | ||||
\(783\) | 8.35669 | + | 2.71525i | 0.298644 | + | 0.0970352i | ||||
\(784\) | 0.153662 | + | 0.170659i | 0.00548792 | + | 0.00609495i | ||||
\(785\) | 0.685829 | − | 0.274248i | 0.0244783 | − | 0.00978833i | ||||
\(786\) | 1.66262 | + | 0.353400i | 0.0593036 | + | 0.0126054i | ||||
\(787\) | 19.3314 | + | 2.03181i | 0.689091 | + | 0.0724263i | 0.442600 | − | 0.896719i | \(-0.354056\pi\) |
0.246490 | + | 0.969145i | \(0.420723\pi\) | |||||||
\(788\) | 7.81166 | − | 0.821038i | 0.278279 | − | 0.0292483i | ||||
\(789\) | 16.3295 | − | 3.47094i | 0.581345 | − | 0.123569i | ||||
\(790\) | −1.18056 | + | 0.790178i | −0.0420024 | + | 0.0281133i | ||||
\(791\) | 11.8289 | − | 8.59423i | 0.420589 | − | 0.305576i | ||||
\(792\) | −0.144006 | − | 0.677493i | −0.00511702 | − | 0.0240737i | ||||
\(793\) | −19.7085 | + | 2.07144i | −0.699868 | + | 0.0735591i | ||||
\(794\) | −0.0949151 | + | 0.903057i | −0.00336841 | + | 0.0320483i | ||||
\(795\) | −0.323707 | + | 1.27885i | −0.0114807 | + | 0.0453560i | ||||
\(796\) | −22.2526 | + | 9.90747i | −0.788721 | + | 0.351161i | ||||
\(797\) | 21.9600 | − | 19.7729i | 0.777864 | − | 0.700392i | −0.181242 | − | 0.983439i | \(-0.558012\pi\) |
0.959106 | + | 0.283046i | \(0.0913450\pi\) | |||||||
\(798\) | 11.2645 | + | 3.66007i | 0.398761 | + | 0.129565i | ||||
\(799\) | −49.3930 | + | 54.8565i | −1.74740 | + | 1.94068i | ||||
\(800\) | 4.50951 | − | 2.15970i | 0.159435 | − | 0.0763571i | ||||
\(801\) | 2.94212 | − | 5.09590i | 0.103955 | − | 0.180055i | ||||
\(802\) | 27.1043 | − | 8.80673i | 0.957087 | − | 0.310976i | ||||
\(803\) | 4.28789 | − | 9.63077i | 0.151316 | − | 0.339862i | ||||
\(804\) | 2.97769 | + | 2.16342i | 0.105015 | + | 0.0762980i | ||||
\(805\) | 1.33017 | − | 34.5530i | 0.0468825 | − | 1.21783i | ||||
\(806\) | −7.76221 | + | 0.352133i | −0.273412 | + | 0.0124034i | ||||
\(807\) | 18.2992i | 0.644164i | ||||||||
\(808\) | −10.4298 | + | 14.3553i | −0.366918 | + | 0.505019i | ||||
\(809\) | 11.1835 | + | 4.97923i | 0.393192 | + | 0.175060i | 0.593803 | − | 0.804611i | \(-0.297626\pi\) |
−0.200611 | + | 0.979671i | \(0.564293\pi\) | |||||||
\(810\) | 0.608664 | + | 2.15163i | 0.0213863 | + | 0.0756007i | ||||
\(811\) | 25.2040 | − | 43.6547i | 0.885034 | − | 1.53292i | 0.0393588 | − | 0.999225i | \(-0.487468\pi\) |
0.845675 | − | 0.533698i | \(-0.179198\pi\) | |||||||
\(812\) | −19.8000 | + | 11.4315i | −0.694842 | + | 0.401167i | ||||
\(813\) | −3.94300 | − | 3.55029i | −0.138287 | − | 0.124514i | ||||
\(814\) | 2.34888 | − | 7.22911i | 0.0823282 | − | 0.253380i | ||||
\(815\) | −33.2810 | − | 39.9516i | −1.16578 | − | 1.39944i | ||||
\(816\) | 5.18112 | − | 2.30678i | 0.181375 | − | 0.0807535i | ||||
\(817\) | 8.21129 | − | 38.6311i | 0.287277 | − | 1.35153i | ||||
\(818\) | −16.3557 | − | 1.71905i | −0.571864 | − | 0.0601053i | ||||
\(819\) | 0.379569 | + | 3.61136i | 0.0132632 | + | 0.126191i | ||||
\(820\) | −2.10543 | − | 12.1950i | −0.0735247 | − | 0.425867i | ||||
\(821\) | 32.4564 | − | 23.5810i | 1.13274 | − | 0.822982i | 0.146646 | − | 0.989189i | \(-0.453152\pi\) |
0.986091 | + | 0.166207i | \(0.0531520\pi\) | |||||||
\(822\) | 3.10084 | + | 4.26794i | 0.108154 | + | 0.148861i | ||||
\(823\) | −2.70504 | − | 12.7262i | −0.0942916 | − | 0.443607i | −0.999814 | − | 0.0193077i | \(-0.993854\pi\) |
0.905522 | − | 0.424299i | \(-0.139480\pi\) | |||||||
\(824\) | 1.21506 | + | 11.5605i | 0.0423286 | + | 0.402730i | ||||
\(825\) | −3.40615 | − | 0.625712i | −0.118587 | − | 0.0217845i | ||||
\(826\) | 6.47526 | + | 1.37636i | 0.225303 | + | 0.0478897i | ||||
\(827\) | −4.25671 | − | 9.56073i | −0.148020 | − | 0.332459i | 0.824284 | − | 0.566176i | \(-0.191578\pi\) |
−0.972305 | + | 0.233717i | \(0.924911\pi\) | |||||||
\(828\) | 4.41662 | − | 3.97674i | 0.153488 | − | 0.138201i | ||||
\(829\) | 1.68332 | − | 5.18074i | 0.0584643 | − | 0.179935i | −0.917559 | − | 0.397599i | \(-0.869844\pi\) |
0.976024 | + | 0.217664i | \(0.0698437\pi\) | |||||||
\(830\) | 13.8878 | + | 13.5075i | 0.482054 | + | 0.468852i | ||||
\(831\) | 5.04605 | + | 8.74001i | 0.175045 | + | 0.303188i | ||||
\(832\) | 1.20860 | + | 0.697784i | 0.0419006 | + | 0.0241913i | ||||
\(833\) | 1.23867 | − | 0.402467i | 0.0429172 | − | 0.0139447i | ||||
\(834\) | −12.0456 | − | 5.36305i | −0.417106 | − | 0.185707i | ||||
\(835\) | 19.3907 | + | 15.2615i | 0.671042 | + | 0.528145i | ||||
\(836\) | −3.15284 | −0.109043 | ||||||||
\(837\) | 4.30224 | + | 3.53422i | 0.148707 | + | 0.122161i | ||||
\(838\) | 13.6901i | 0.472917i | ||||||||
\(839\) | −3.10218 | − | 2.25387i | −0.107099 | − | 0.0778122i | 0.532947 | − | 0.846149i | \(-0.321085\pi\) |
−0.640046 | + | 0.768337i | \(0.721085\pi\) | |||||||
\(840\) | −5.22025 | − | 2.56920i | −0.180116 | − | 0.0886459i | ||||
\(841\) | 14.8967 | + | 45.8475i | 0.513681 | + | 1.58095i | ||||
\(842\) | −11.7477 | − | 6.78254i | −0.404853 | − | 0.233742i | ||||
\(843\) | 12.2017 | − | 7.04464i | 0.420248 | − | 0.242630i | ||||
\(844\) | 2.34405 | − | 2.60333i | 0.0806855 | − | 0.0896104i | ||||
\(845\) | 23.1931 | + | 8.53553i | 0.797868 | + | 0.293631i | ||||
\(846\) | 8.70909 | + | 9.67242i | 0.299425 | + | 0.332545i | ||||
\(847\) | 11.1339 | + | 25.0071i | 0.382564 | + | 0.859253i | ||||
\(848\) | 0.122659 | − | 0.577063i | 0.00421211 | − | 0.0198164i | ||||
\(849\) | −0.960976 | + | 9.14307i | −0.0329806 | + | 0.313789i | ||||
\(850\) | −0.787221 | − | 28.3463i | −0.0270014 | − | 0.972268i | ||||
\(851\) | 63.7968 | − | 13.5604i | 2.18693 | − | 0.464846i | ||||
\(852\) | 5.14714 | + | 7.08443i | 0.176338 | + | 0.242708i | ||||
\(853\) | −13.4906 | − | 18.5682i | −0.461910 | − | 0.635764i | 0.512994 | − | 0.858392i | \(-0.328536\pi\) |
−0.974903 | + | 0.222628i | \(0.928536\pi\) | |||||||
\(854\) | −36.1408 | + | 7.68197i | −1.23671 | + | 0.262872i | ||||
\(855\) | 10.1562 | − | 0.673757i | 0.347336 | − | 0.0230420i | ||||
\(856\) | 1.41794 | − | 13.4908i | 0.0484642 | − | 0.461106i | ||||
\(857\) | −1.46427 | + | 6.88886i | −0.0500186 | + | 0.235319i | −0.996055 | − | 0.0887426i | \(-0.971715\pi\) |
0.946036 | + | 0.324061i | \(0.105048\pi\) | |||||||
\(858\) | −0.393156 | − | 0.883043i | −0.0134221 | − | 0.0301466i | ||||
\(859\) | −10.4000 | − | 11.5504i | −0.354844 | − | 0.394094i | 0.539123 | − | 0.842227i | \(-0.318756\pi\) |
−0.893967 | + | 0.448133i | \(0.852089\pi\) | |||||||
\(860\) | −6.70047 | + | 18.2068i | −0.228484 | + | 0.620847i | ||||
\(861\) | −9.63585 | + | 10.7017i | −0.328389 | + | 0.364713i | ||||
\(862\) | 4.46807 | − | 2.57964i | 0.152183 | − | 0.0878629i | ||||
\(863\) | 28.9918 | + | 16.7384i | 0.986892 | + | 0.569782i | 0.904344 | − | 0.426805i | \(-0.140361\pi\) |
0.0825483 | + | 0.996587i | \(0.473694\pi\) | |||||||
\(864\) | −0.309017 | − | 0.951057i | −0.0105130 | − | 0.0323556i | ||||
\(865\) | −7.41368 | − | 3.64872i | −0.252073 | − | 0.124060i | ||||
\(866\) | −28.3523 | − | 20.5991i | −0.963449 | − | 0.699987i | ||||
\(867\) | − | 15.1652i | − | 0.515037i | ||||||
\(868\) | −14.3245 | + | 2.16572i | −0.486204 | + | 0.0735094i | ||||
\(869\) | −0.440035 | −0.0149272 | ||||||||
\(870\) | −12.1516 | + | 15.4393i | −0.411977 | + | 0.523443i | ||||
\(871\) | 4.69249 | + | 2.08923i | 0.158999 | + | 0.0707909i | ||||
\(872\) | −7.93693 | + | 2.57887i | −0.268778 | + | 0.0873314i | ||||
\(873\) | −12.4508 | − | 7.18849i | −0.421397 | − | 0.243294i | ||||
\(874\) | −13.5266 | − | 23.4287i | −0.457544 | − | 0.792489i | ||||
\(875\) | −21.8262 | + | 19.2331i | −0.737861 | + | 0.650196i | ||||
\(876\) | 4.70341 | − | 14.4756i | 0.158913 | − | 0.489085i | ||||
\(877\) | 5.96895 | − | 5.37447i | 0.201557 | − | 0.181483i | −0.562171 | − | 0.827021i | \(-0.690034\pi\) |
0.763728 | + | 0.645538i | \(0.223367\pi\) | |||||||
\(878\) | 4.09230 | + | 9.19146i | 0.138108 | + | 0.310197i | ||||
\(879\) | −15.9587 | − | 3.39212i | −0.538273 | − | 0.114413i | ||||
\(880\) | 1.53291 | + | 0.221022i | 0.0516745 | + | 0.00745065i | ||||
\(881\) | −3.84973 | − | 36.6278i | −0.129701 | − | 1.23402i | −0.844833 | − | 0.535031i | \(-0.820300\pi\) |
0.715132 | − | 0.698990i | \(-0.246367\pi\) | |||||||
\(882\) | −0.0477456 | − | 0.224626i | −0.00160768 | − | 0.00756353i | ||||
\(883\) | 8.93378 | + | 12.2963i | 0.300646 | + | 0.413803i | 0.932435 | − | 0.361337i | \(-0.117679\pi\) |
−0.631790 | + | 0.775140i | \(0.717679\pi\) | |||||||
\(884\) | 6.40327 | − | 4.65225i | 0.215365 | − | 0.156472i | ||||
\(885\) | 5.60601 | − | 0.967863i | 0.188444 | − | 0.0325343i | ||||
\(886\) | −2.24353 | − | 21.3458i | −0.0753728 | − | 0.717125i | ||||
\(887\) | 11.3420 | + | 1.19210i | 0.380829 | + | 0.0400267i | 0.293009 | − | 0.956110i | \(-0.405343\pi\) |
0.0878197 | + | 0.996136i | \(0.472010\pi\) | |||||||
\(888\) | 2.28169 | − | 10.7345i | 0.0765686 | − | 0.360227i | ||||
\(889\) | −5.63617 | + | 2.50938i | −0.189031 | + | 0.0841620i | ||||
\(890\) | 8.42147 | + | 10.1094i | 0.282288 | + | 0.338868i | ||||
\(891\) | −0.214034 | + | 0.658729i | −0.00717041 | + | 0.0220683i | ||||
\(892\) | 4.87500 | + | 4.38947i | 0.163227 | + | 0.146970i | ||||
\(893\) | 51.3091 | − | 29.6233i | 1.71699 | − | 0.991306i | ||||
\(894\) | 10.7596 | − | 18.6361i | 0.359853 | − | 0.623285i | ||||
\(895\) | −41.8375 | + | 11.8352i | −1.39847 | + | 0.395606i | ||||
\(896\) | 2.37704 | + | 1.05833i | 0.0794112 | + | 0.0353562i | ||||
\(897\) | 4.87513 | − | 6.71004i | 0.162776 | − | 0.224042i | ||||
\(898\) | − | 2.41277i | − | 0.0805152i | ||||||
\(899\) | −2.90359 | + | 48.8363i | −0.0968402 | + | 1.62878i | ||||
\(900\) | −4.98520 | − | 0.384397i | −0.166173 | − | 0.0128132i | ||||
\(901\) | −2.70688 | − | 1.96667i | −0.0901794 | − | 0.0655191i | ||||
\(902\) | 1.55915 | − | 3.50190i | 0.0519140 | − | 0.116601i | ||||
\(903\) | 21.4705 | − | 6.97620i | 0.714495 | − | 0.232153i | ||||
\(904\) | −2.80965 | + | 4.86646i | −0.0934476 | + | 0.161856i | ||||
\(905\) | −9.25140 | + | 4.87676i | −0.307527 | + | 0.162109i | ||||
\(906\) | 9.05023 | − | 10.0513i | 0.300674 | − | 0.333932i | ||||
\(907\) | −40.6395 | − | 13.2046i | −1.34941 | − | 0.438451i | −0.456918 | − | 0.889509i | \(-0.651047\pi\) |
−0.892495 | + | 0.451058i | \(0.851047\pi\) | |||||||
\(908\) | 8.69464 | − | 7.82869i | 0.288542 | − | 0.259804i | ||||
\(909\) | 16.2101 | − | 7.21720i | 0.537655 | − | 0.239379i | ||||
\(910\) | −7.87147 | − | 1.99246i | −0.260937 | − | 0.0660495i | ||||
\(911\) | 2.17665 | − | 20.7094i | 0.0721156 | − | 0.686134i | −0.897419 | − | 0.441179i | \(-0.854560\pi\) |
0.969535 | − | 0.244955i | \(-0.0787731\pi\) | |||||||
\(912\) | −4.52706 | + | 0.475813i | −0.149906 | + | 0.0157557i | ||||
\(913\) | 1.24767 | + | 5.86980i | 0.0412917 | + | 0.194262i | ||||
\(914\) | 10.0736 | − | 7.31891i | 0.333206 | − | 0.242088i | ||||
\(915\) | −26.3869 | + | 17.6614i | −0.872325 | + | 0.583869i | ||||
\(916\) | 10.1225 | − | 2.15160i | 0.334457 | − | 0.0710910i | ||||
\(917\) | 4.39854 | − | 0.462305i | 0.145252 | − | 0.0152667i | ||||
\(918\) | −5.64037 | − | 0.592827i | −0.186160 | − | 0.0195662i | ||||
\(919\) | −17.3529 | − | 3.68847i | −0.572419 | − | 0.121671i | −0.0873974 | − | 0.996174i | \(-0.527855\pi\) |
−0.485022 | + | 0.874502i | \(0.661188\pi\) | |||||||
\(920\) | 4.93422 | + | 12.3393i | 0.162676 | + | 0.406815i | ||||
\(921\) | −22.0629 | − | 24.5034i | −0.726999 | − | 0.807414i | ||||
\(922\) | −22.2408 | − | 7.22647i | −0.732461 | − | 0.237991i | ||||
\(923\) | 9.08179 | + | 8.17728i | 0.298931 | + | 0.269158i | ||||
\(924\) | −0.901107 | − | 1.56076i | −0.0296442 | − | 0.0513453i | ||||
\(925\) | −45.2704 | − | 31.0080i | −1.48848 | − | 1.01954i | ||||
\(926\) | −8.93872 | − | 27.5106i | −0.293745 | − | 0.904053i | ||||
\(927\) | 4.72799 | − | 10.6192i | 0.155288 | − | 0.348782i | ||||
\(928\) | 5.16472 | − | 7.10863i | 0.169540 | − | 0.233352i | ||||
\(929\) | 29.1472 | 0.956289 | 0.478145 | − | 0.878281i | \(-0.341309\pi\) | ||||
0.478145 | + | 0.878281i | \(0.341309\pi\) | |||||||
\(930\) | −10.7390 | + | 6.29873i | −0.352146 | + | 0.206543i | ||||
\(931\) | −1.04534 | −0.0342595 | ||||||||
\(932\) | −14.2912 | + | 19.6702i | −0.468125 | + | 0.644319i | ||||
\(933\) | 3.24287 | − | 7.28360i | 0.106167 | − | 0.238454i | ||||
\(934\) | −5.62377 | − | 17.3082i | −0.184015 | − | 0.566341i | ||||
\(935\) | 4.68124 | − | 7.43235i | 0.153093 | − | 0.243064i | ||||
\(936\) | −0.697784 | − | 1.20860i | −0.0228078 | − | 0.0395042i | ||||
\(937\) | 15.3614 | + | 13.8314i | 0.501834 | + | 0.451853i | 0.880752 | − | 0.473577i | \(-0.157037\pi\) |
−0.378919 | + | 0.925430i | \(0.623704\pi\) | |||||||
\(938\) | 9.10824 | + | 2.95945i | 0.297394 | + | 0.0966293i | ||||
\(939\) | 12.8351 | + | 14.2549i | 0.418859 | + | 0.465190i | ||||
\(940\) | −27.0231 | + | 10.8060i | −0.881398 | + | 0.352452i | ||||
\(941\) | 35.3806 | + | 7.52038i | 1.15338 | + | 0.245158i | 0.744621 | − | 0.667487i | \(-0.232630\pi\) |
0.408754 | + | 0.912645i | \(0.365963\pi\) | |||||||
\(942\) | 0.328516 | + | 0.0345284i | 0.0107036 | + | 0.00112500i | ||||
\(943\) | 32.7118 | − | 3.43815i | 1.06524 | − | 0.111961i | ||||
\(944\) | −2.48858 | + | 0.528964i | −0.0809964 | + | 0.0172163i | ||||
\(945\) | 3.23627 | + | 4.83512i | 0.105276 | + | 0.157286i | ||||
\(946\) | −4.86171 | + | 3.53224i | −0.158068 | + | 0.114843i | ||||
\(947\) | −3.86980 | − | 18.2060i | −0.125751 | − | 0.591614i | −0.995223 | − | 0.0976307i | \(-0.968874\pi\) |
0.869471 | − | 0.493984i | \(-0.164460\pi\) | |||||||
\(948\) | −0.631831 | + | 0.0664081i | −0.0205209 | + | 0.00215683i | ||||
\(949\) | 2.22032 | − | 21.1249i | 0.0720746 | − | 0.685744i | ||||
\(950\) | −6.42959 | + | 21.8329i | −0.208604 | + | 0.708354i | ||||
\(951\) | 3.25853 | − | 1.45079i | 0.105665 | − | 0.0470451i | ||||
\(952\) | 10.9666 | − | 9.87438i | 0.355430 | − | 0.320030i | ||||
\(953\) | 1.10577 | + | 0.359287i | 0.0358194 | + | 0.0116384i | 0.326872 | − | 0.945069i | \(-0.394005\pi\) |
−0.291052 | + | 0.956707i | \(0.594005\pi\) | |||||||
\(954\) | −0.394757 | + | 0.438422i | −0.0127807 | + | 0.0141944i | ||||
\(955\) | 12.2649 | − | 6.46530i | 0.396884 | − | 0.209212i | ||||
\(956\) | −6.31604 | + | 10.9397i | −0.204275 | + | 0.353815i | ||||
\(957\) | −5.78808 | + | 1.88066i | −0.187102 | + | 0.0607932i | ||||
\(958\) | 3.02749 | − | 6.79986i | 0.0978138 | − | 0.219693i | ||||
\(959\) | 11.1051 | + | 8.06835i | 0.358604 | + | 0.260541i | ||||
\(960\) | 2.23441 | + | 0.0860174i | 0.0721154 | + | 0.00277620i | ||||
\(961\) | −13.0055 | + | 28.1399i | −0.419533 | + | 0.907740i | ||||
\(962\) | − | 15.3154i | − | 0.493789i | ||||||
\(963\) | −7.97338 | + | 10.9744i | −0.256938 | + | 0.353645i | ||||
\(964\) | 9.90814 | + | 4.41139i | 0.319120 | + | 0.142081i | ||||
\(965\) | −11.6654 | − | 41.2373i | −0.375522 | − | 1.32748i | ||||
\(966\) | 7.73201 | − | 13.3922i | 0.248773 | − | 0.430888i | ||||
\(967\) | −34.2286 | + | 19.7619i | −1.10072 | + | 0.635500i | −0.936409 | − | 0.350909i | \(-0.885873\pi\) |
−0.164308 | + | 0.986409i | \(0.552539\pi\) | |||||||
\(968\) | −7.81808 | − | 7.03943i | −0.251283 | − | 0.226256i | ||||
\(969\) | −7.97769 | + | 24.5528i | −0.256280 | + | 0.788750i | ||||
\(970\) | 24.7004 | − | 20.5762i | 0.793081 | − | 0.660662i | ||||
\(971\) | −5.01871 | + | 2.23447i | −0.161058 | + | 0.0717077i | −0.485682 | − | 0.874135i | \(-0.661429\pi\) |
0.324624 | + | 0.945843i | \(0.394762\pi\) | |||||||
\(972\) | −0.207912 | + | 0.978148i | −0.00666877 | + | 0.0313741i | ||||
\(973\) | −34.1208 | − | 3.58624i | −1.09386 | − | 0.114970i | ||||
\(974\) | 1.88395 | + | 17.9246i | 0.0603658 | + | 0.574342i | ||||
\(975\) | −6.91669 | + | 0.921751i | −0.221511 | + | 0.0295197i | ||||
\(976\) | 11.4880 | − | 8.34654i | 0.367723 | − | 0.267166i | ||||
\(977\) | 18.9259 | + | 26.0493i | 0.605493 | + | 0.833390i | 0.996197 | − | 0.0871265i | \(-0.0277684\pi\) |
−0.390704 | + | 0.920516i | \(0.627768\pi\) | |||||||
\(978\) | −4.83479 | − | 22.7459i | −0.154599 | − | 0.727333i | ||||
\(979\) | 0.426016 | + | 4.05327i | 0.0136155 | + | 0.129543i | ||||
\(980\) | 0.508243 | + | 0.0732807i | 0.0162352 | + | 0.00234087i | ||||
\(981\) | 8.16302 | + | 1.73510i | 0.260625 | + | 0.0553976i | ||||
\(982\) | 7.58791 | + | 17.0427i | 0.242140 | + | 0.543855i | ||||
\(983\) | 38.7134 | − | 34.8577i | 1.23477 | − | 1.11179i | 0.244935 | − | 0.969540i | \(-0.421233\pi\) |
0.989831 | − | 0.142249i | \(-0.0454333\pi\) | |||||||
\(984\) | 1.71024 | − | 5.26356i | 0.0545203 | − | 0.167796i | ||||
\(985\) | 12.2457 | − | 12.5906i | 0.390182 | − | 0.401168i | ||||
\(986\) | −24.9167 | − | 43.1570i | −0.793510 | − | 1.37440i | ||||
\(987\) | 29.3291 | + | 16.9331i | 0.933554 | + | 0.538988i | ||||
\(988\) | −6.04170 | + | 1.96307i | −0.192212 | + | 0.0624535i | ||||
\(989\) | −47.1061 | − | 20.9730i | −1.49789 | − | 0.666903i | ||||
\(990\) | −1.21703 | − | 0.957867i | −0.0386798 | − | 0.0304430i | ||||
\(991\) | −38.8085 | −1.23279 | −0.616396 | − | 0.787436i | \(-0.711408\pi\) | ||||
−0.616396 | + | 0.787436i | \(0.711408\pi\) | |||||||
\(992\) | 4.69071 | − | 2.99954i | 0.148930 | − | 0.0952355i | ||||
\(993\) | − | 1.71856i | − | 0.0545367i | ||||||
\(994\) | 18.4336 | + | 13.3928i | 0.584679 | + | 0.424794i | ||||
\(995\) | −24.0515 | + | 48.8692i | −0.762484 | + | 1.54926i | ||||
\(996\) | 2.67732 | + | 8.23996i | 0.0848343 | + | 0.261093i | ||||
\(997\) | 41.6935 | + | 24.0717i | 1.32045 | + | 0.762360i | 0.983800 | − | 0.179272i | \(-0.0573742\pi\) |
0.336646 | + | 0.941631i | \(0.390707\pi\) | |||||||
\(998\) | 11.9405 | − | 6.89383i | 0.377969 | − | 0.218220i | ||||
\(999\) | −7.34326 | + | 8.15552i | −0.232331 | + | 0.258029i |
(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 | 930.2.bn.b.19.1 | ✓ | 144 | |
5.4 | even | 2 | inner | 930.2.bn.b.19.16 | yes | 144 | |
31.18 | even | 15 | inner | 930.2.bn.b.49.16 | yes | 144 | |
155.49 | even | 30 | inner | 930.2.bn.b.49.1 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bn.b.19.1 | ✓ | 144 | 1.1 | even | 1 | trivial | |
930.2.bn.b.19.16 | yes | 144 | 5.4 | even | 2 | inner | |
930.2.bn.b.49.1 | yes | 144 | 155.49 | even | 30 | inner | |
930.2.bn.b.49.16 | yes | 144 | 31.18 | even | 15 | inner |