Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(71,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bu (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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 71.14 | ||
Character | \(\chi\) | \(=\) | 546.71 |
Dual form | 546.2.bu.b.323.14 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | − | 0.258819i | 0.683013 | − | 0.183013i | ||||
\(3\) | 1.61014 | + | 0.638319i | 0.929614 | + | 0.368534i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | −0.489109 | − | 0.489109i | −0.218736 | − | 0.218736i | 0.589230 | − | 0.807966i | \(-0.299431\pi\) |
−0.807966 | + | 0.589230i | \(0.799431\pi\) | |||||||
\(6\) | 1.72048 | + | 0.199834i | 0.702385 | + | 0.0815819i | ||||
\(7\) | 0.258819 | − | 0.965926i | 0.0978244 | − | 0.365086i | ||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | 2.18510 | + | 2.05556i | 0.728366 | + | 0.685188i | ||||
\(10\) | −0.599034 | − | 0.345852i | −0.189431 | − | 0.109368i | ||||
\(11\) | 0.247333 | + | 0.923060i | 0.0745737 | + | 0.278313i | 0.993136 | − | 0.116963i | \(-0.0373158\pi\) |
−0.918563 | + | 0.395276i | \(0.870649\pi\) | |||||||
\(12\) | 1.71358 | − | 0.252269i | 0.494668 | − | 0.0728239i | ||||
\(13\) | 2.67710 | + | 2.41519i | 0.742494 | + | 0.669852i | ||||
\(14\) | − | 1.00000i | − | 0.267261i | ||||||
\(15\) | −0.475326 | − | 1.09974i | −0.122729 | − | 0.283952i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −1.15524 | − | 2.00093i | −0.280186 | − | 0.485296i | 0.691244 | − | 0.722621i | \(-0.257063\pi\) |
−0.971430 | + | 0.237325i | \(0.923729\pi\) | |||||||
\(18\) | 2.64266 | + | 1.41998i | 0.622881 | + | 0.334692i | ||||
\(19\) | −0.656279 | − | 0.175849i | −0.150561 | − | 0.0403426i | 0.182751 | − | 0.983159i | \(-0.441500\pi\) |
−0.333312 | + | 0.942817i | \(0.608166\pi\) | |||||||
\(20\) | −0.668135 | − | 0.179026i | −0.149400 | − | 0.0400315i | ||||
\(21\) | 1.03330 | − | 1.39007i | 0.225485 | − | 0.303337i | ||||
\(22\) | 0.477811 | + | 0.827593i | 0.101870 | + | 0.176443i | ||||
\(23\) | −0.227212 | + | 0.393543i | −0.0473771 | + | 0.0820595i | −0.888741 | − | 0.458409i | \(-0.848420\pi\) |
0.841364 | + | 0.540468i | \(0.181753\pi\) | |||||||
\(24\) | 1.58990 | − | 0.687181i | 0.324537 | − | 0.140270i | ||||
\(25\) | − | 4.52155i | − | 0.904309i | ||||||
\(26\) | 3.21098 | + | 1.64001i | 0.629724 | + | 0.321632i | ||||
\(27\) | 2.20621 | + | 4.70454i | 0.424585 | + | 0.905388i | ||||
\(28\) | −0.258819 | − | 0.965926i | −0.0489122 | − | 0.182543i | ||||
\(29\) | −4.11308 | − | 2.37469i | −0.763779 | − | 0.440968i | 0.0668719 | − | 0.997762i | \(-0.478698\pi\) |
−0.830651 | + | 0.556794i | \(0.812031\pi\) | |||||||
\(30\) | −0.743764 | − | 0.939245i | −0.135792 | − | 0.171482i | ||||
\(31\) | 1.27428 | − | 1.27428i | 0.228868 | − | 0.228868i | −0.583352 | − | 0.812220i | \(-0.698259\pi\) |
0.812220 | + | 0.583352i | \(0.198259\pi\) | |||||||
\(32\) | 0.258819 | − | 0.965926i | 0.0457532 | − | 0.170753i | ||||
\(33\) | −0.190966 | + | 1.64413i | −0.0332429 | + | 0.286207i | ||||
\(34\) | −1.63375 | − | 1.63375i | −0.280186 | − | 0.280186i | ||||
\(35\) | −0.599034 | + | 0.345852i | −0.101255 | + | 0.0584597i | ||||
\(36\) | 2.92013 | + | 0.687622i | 0.486689 | + | 0.114604i | ||||
\(37\) | 1.67070 | − | 0.447663i | 0.274662 | − | 0.0735954i | −0.118859 | − | 0.992911i | \(-0.537924\pi\) |
0.393521 | + | 0.919316i | \(0.371257\pi\) | |||||||
\(38\) | −0.679430 | −0.110218 | ||||||||
\(39\) | 2.76885 | + | 5.59763i | 0.443370 | + | 0.896339i | ||||
\(40\) | −0.691704 | −0.109368 | ||||||||
\(41\) | −9.15496 | + | 2.45307i | −1.42977 | + | 0.383104i | −0.888937 | − | 0.458029i | \(-0.848556\pi\) |
−0.540828 | + | 0.841133i | \(0.681889\pi\) | |||||||
\(42\) | 0.638319 | − | 1.61014i | 0.0984947 | − | 0.248450i | ||||
\(43\) | 0.759424 | − | 0.438454i | 0.115811 | − | 0.0668635i | −0.440976 | − | 0.897519i | \(-0.645367\pi\) |
0.556787 | + | 0.830656i | \(0.312034\pi\) | |||||||
\(44\) | 0.675726 | + | 0.675726i | 0.101870 | + | 0.101870i | ||||
\(45\) | −0.0633558 | − | 2.07415i | −0.00944452 | − | 0.309195i | ||||
\(46\) | −0.117614 | + | 0.438941i | −0.0173412 | + | 0.0647183i | ||||
\(47\) | −7.33090 | + | 7.33090i | −1.06932 | + | 1.06932i | −0.0719102 | + | 0.997411i | \(0.522909\pi\) |
−0.997411 | + | 0.0719102i | \(0.977091\pi\) | |||||||
\(48\) | 1.35787 | − | 1.07526i | 0.195992 | − | 0.155201i | ||||
\(49\) | −0.866025 | − | 0.500000i | −0.123718 | − | 0.0714286i | ||||
\(50\) | −1.17026 | − | 4.36748i | −0.165500 | − | 0.617655i | ||||
\(51\) | −0.582861 | − | 3.95918i | −0.0816169 | − | 0.554396i | ||||
\(52\) | 3.52603 | + | 0.753063i | 0.488973 | + | 0.104431i | ||||
\(53\) | 10.0392i | 1.37899i | 0.724291 | + | 0.689495i | \(0.242167\pi\) | ||||
−0.724291 | + | 0.689495i | \(0.757833\pi\) | |||||||
\(54\) | 3.34866 | + | 3.97322i | 0.455694 | + | 0.540687i | ||||
\(55\) | 0.330504 | − | 0.572449i | 0.0445651 | − | 0.0771891i | ||||
\(56\) | −0.500000 | − | 0.866025i | −0.0668153 | − | 0.115728i | ||||
\(57\) | −0.944452 | − | 0.702057i | −0.125096 | − | 0.0929897i | ||||
\(58\) | −4.58754 | − | 1.22923i | −0.602373 | − | 0.161405i | ||||
\(59\) | −11.3752 | − | 3.04796i | −1.48092 | − | 0.396811i | −0.574259 | − | 0.818674i | \(-0.694710\pi\) |
−0.906660 | + | 0.421863i | \(0.861376\pi\) | |||||||
\(60\) | −0.961515 | − | 0.714740i | −0.124131 | − | 0.0922726i | ||||
\(61\) | 6.88600 | + | 11.9269i | 0.881662 | + | 1.52708i | 0.849493 | + | 0.527601i | \(0.176908\pi\) |
0.0321692 | + | 0.999482i | \(0.489758\pi\) | |||||||
\(62\) | 0.901054 | − | 1.56067i | 0.114434 | − | 0.198205i | ||||
\(63\) | 2.55107 | − | 1.57862i | 0.321404 | − | 0.198888i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −0.128104 | − | 2.49068i | −0.0158894 | − | 0.308931i | ||||
\(66\) | 0.241074 | + | 1.63754i | 0.0296742 | + | 0.201567i | ||||
\(67\) | −2.53037 | − | 9.44348i | −0.309134 | − | 1.15370i | −0.929328 | − | 0.369256i | \(-0.879613\pi\) |
0.620194 | − | 0.784449i | \(-0.287054\pi\) | |||||||
\(68\) | −2.00093 | − | 1.15524i | −0.242648 | − | 0.140093i | ||||
\(69\) | −0.617050 | + | 0.488626i | −0.0742841 | + | 0.0588236i | ||||
\(70\) | −0.489109 | + | 0.489109i | −0.0584597 | + | 0.0584597i | ||||
\(71\) | 0.951706 | − | 3.55182i | 0.112947 | − | 0.421523i | −0.886178 | − | 0.463344i | \(-0.846649\pi\) |
0.999125 | + | 0.0418212i | \(0.0133160\pi\) | |||||||
\(72\) | 2.99860 | − | 0.0915937i | 0.353389 | − | 0.0107944i | ||||
\(73\) | −4.44812 | − | 4.44812i | −0.520613 | − | 0.520613i | 0.397144 | − | 0.917756i | \(-0.370001\pi\) |
−0.917756 | + | 0.397144i | \(0.870001\pi\) | |||||||
\(74\) | 1.49791 | − | 0.864819i | 0.174129 | − | 0.100533i | ||||
\(75\) | 2.88619 | − | 7.28032i | 0.333268 | − | 0.840659i | ||||
\(76\) | −0.656279 | + | 0.175849i | −0.0752803 | + | 0.0201713i | ||||
\(77\) | 0.955622 | 0.108903 | ||||||||
\(78\) | 4.12327 | + | 4.69027i | 0.466869 | + | 0.531068i | ||||
\(79\) | −3.18127 | −0.357921 | −0.178960 | − | 0.983856i | \(-0.557273\pi\) | ||||
−0.178960 | + | 0.983856i | \(0.557273\pi\) | |||||||
\(80\) | −0.668135 | + | 0.179026i | −0.0746998 | + | 0.0200157i | ||||
\(81\) | 0.549306 | + | 8.98322i | 0.0610340 | + | 0.998136i | ||||
\(82\) | −8.20812 | + | 4.73896i | −0.906435 | + | 0.523330i | ||||
\(83\) | −0.476958 | − | 0.476958i | −0.0523529 | − | 0.0523529i | 0.680446 | − | 0.732799i | \(-0.261786\pi\) |
−0.732799 | + | 0.680446i | \(0.761786\pi\) | |||||||
\(84\) | 0.199834 | − | 1.72048i | 0.0218037 | − | 0.187720i | ||||
\(85\) | −0.413635 | + | 1.54371i | −0.0448650 | + | 0.167439i | ||||
\(86\) | 0.620067 | − | 0.620067i | 0.0668635 | − | 0.0668635i | ||||
\(87\) | −5.10682 | − | 6.44903i | −0.547508 | − | 0.691408i | ||||
\(88\) | 0.827593 | + | 0.477811i | 0.0882217 | + | 0.0509348i | ||||
\(89\) | −0.780848 | − | 2.91416i | −0.0827697 | − | 0.308901i | 0.912113 | − | 0.409939i | \(-0.134450\pi\) |
−0.994883 | + | 0.101039i | \(0.967783\pi\) | |||||||
\(90\) | −0.598025 | − | 1.98707i | −0.0630374 | − | 0.209456i | ||||
\(91\) | 3.02578 | − | 1.96078i | 0.317188 | − | 0.205546i | ||||
\(92\) | 0.454425i | 0.0473771i | ||||||||
\(93\) | 2.86517 | − | 1.23837i | 0.297104 | − | 0.128413i | ||||
\(94\) | −5.18373 | + | 8.97848i | −0.534661 | + | 0.926059i | ||||
\(95\) | 0.234982 | + | 0.407001i | 0.0241087 | + | 0.0417574i | ||||
\(96\) | 1.03330 | − | 1.39007i | 0.105461 | − | 0.141873i | ||||
\(97\) | −11.6671 | − | 3.12620i | −1.18462 | − | 0.317417i | −0.387860 | − | 0.921718i | \(-0.626786\pi\) |
−0.796756 | + | 0.604301i | \(0.793452\pi\) | |||||||
\(98\) | −0.965926 | − | 0.258819i | −0.0975732 | − | 0.0261447i | ||||
\(99\) | −1.35696 | + | 2.52538i | −0.136380 | + | 0.253811i | ||||
\(100\) | −2.26077 | − | 3.91577i | −0.226077 | − | 0.391577i | ||||
\(101\) | 6.62431 | − | 11.4736i | 0.659143 | − | 1.14167i | −0.321695 | − | 0.946843i | \(-0.604252\pi\) |
0.980838 | − | 0.194826i | \(-0.0624142\pi\) | |||||||
\(102\) | −1.58771 | − | 3.67342i | −0.157207 | − | 0.363723i | ||||
\(103\) | 14.5464i | 1.43330i | 0.697435 | + | 0.716649i | \(0.254325\pi\) | ||||
−0.697435 | + | 0.716649i | \(0.745675\pi\) | |||||||
\(104\) | 3.60079 | − | 0.185201i | 0.353087 | − | 0.0181604i | ||||
\(105\) | −1.18529 | + | 0.174496i | −0.115673 | + | 0.0170290i | ||||
\(106\) | 2.59834 | + | 9.69712i | 0.252373 | + | 0.941867i | ||||
\(107\) | −1.64456 | − | 0.949487i | −0.158986 | − | 0.0917903i | 0.418396 | − | 0.908265i | \(-0.362592\pi\) |
−0.577382 | + | 0.816474i | \(0.695926\pi\) | |||||||
\(108\) | 4.26290 | + | 2.97114i | 0.410198 | + | 0.285898i | ||||
\(109\) | 5.65529 | − | 5.65529i | 0.541679 | − | 0.541679i | −0.382342 | − | 0.924021i | \(-0.624882\pi\) |
0.924021 | + | 0.382342i | \(0.124882\pi\) | |||||||
\(110\) | 0.171081 | − | 0.638484i | 0.0163120 | − | 0.0608771i | ||||
\(111\) | 2.97581 | + | 0.345640i | 0.282452 | + | 0.0328067i | ||||
\(112\) | −0.707107 | − | 0.707107i | −0.0668153 | − | 0.0668153i | ||||
\(113\) | 11.7563 | − | 6.78749i | 1.10594 | − | 0.638514i | 0.168164 | − | 0.985759i | \(-0.446216\pi\) |
0.937774 | + | 0.347245i | \(0.112883\pi\) | |||||||
\(114\) | −1.09398 | − | 0.433693i | −0.102460 | − | 0.0406190i | ||||
\(115\) | 0.303617 | − | 0.0813540i | 0.0283124 | − | 0.00758630i | ||||
\(116\) | −4.74937 | −0.440968 | ||||||||
\(117\) | 0.885153 | + | 10.7804i | 0.0818325 | + | 0.996646i | ||||
\(118\) | −11.7764 | −1.08411 | ||||||||
\(119\) | −2.23175 | + | 0.597994i | −0.204584 | + | 0.0548181i | ||||
\(120\) | −1.11374 | − | 0.441528i | −0.101670 | − | 0.0403058i | ||||
\(121\) | 8.73541 | − | 5.04339i | 0.794129 | − | 0.458490i | ||||
\(122\) | 9.73827 | + | 9.73827i | 0.881662 | + | 0.881662i | ||||
\(123\) | −16.3066 | − | 1.89401i | −1.47032 | − | 0.170777i | ||||
\(124\) | 0.466420 | − | 1.74070i | 0.0418857 | − | 0.156320i | ||||
\(125\) | −4.65707 | + | 4.65707i | −0.416541 | + | 0.416541i | ||||
\(126\) | 2.05556 | − | 2.18510i | 0.183124 | − | 0.194664i | ||||
\(127\) | −7.37225 | − | 4.25637i | −0.654181 | − | 0.377692i | 0.135875 | − | 0.990726i | \(-0.456615\pi\) |
−0.790056 | + | 0.613034i | \(0.789949\pi\) | |||||||
\(128\) | −0.258819 | − | 0.965926i | −0.0228766 | − | 0.0853766i | ||||
\(129\) | 1.50265 | − | 0.221217i | 0.132301 | − | 0.0194770i | ||||
\(130\) | −0.768375 | − | 2.37266i | −0.0673910 | − | 0.208096i | ||||
\(131\) | 3.60145i | 0.314660i | 0.987546 | + | 0.157330i | \(0.0502886\pi\) | ||||
−0.987546 | + | 0.157330i | \(0.949711\pi\) | |||||||
\(132\) | 0.656685 | + | 1.51934i | 0.0571571 | + | 0.132242i | ||||
\(133\) | −0.339715 | + | 0.588403i | −0.0294570 | + | 0.0510210i | ||||
\(134\) | −4.88830 | − | 8.46679i | −0.422285 | − | 0.731419i | ||||
\(135\) | 1.22195 | − | 3.38010i | 0.105169 | − | 0.290913i | ||||
\(136\) | −2.23175 | − | 0.597994i | −0.191371 | − | 0.0512776i | ||||
\(137\) | 4.13009 | + | 1.10665i | 0.352857 | + | 0.0945478i | 0.430894 | − | 0.902403i | \(-0.358198\pi\) |
−0.0780364 | + | 0.996951i | \(0.524865\pi\) | |||||||
\(138\) | −0.469559 | + | 0.631680i | −0.0399715 | + | 0.0537722i | ||||
\(139\) | 8.79259 | + | 15.2292i | 0.745778 | + | 1.29173i | 0.949830 | + | 0.312766i | \(0.101255\pi\) |
−0.204052 | + | 0.978960i | \(0.565411\pi\) | |||||||
\(140\) | −0.345852 | + | 0.599034i | −0.0292298 | + | 0.0506276i | ||||
\(141\) | −16.4832 | + | 7.12432i | −1.38814 | + | 0.599976i | ||||
\(142\) | − | 3.67711i | − | 0.308576i | ||||||
\(143\) | −1.56723 | + | 3.06848i | −0.131058 | + | 0.256599i | ||||
\(144\) | 2.87272 | − | 0.864568i | 0.239393 | − | 0.0720473i | ||||
\(145\) | 0.850262 | + | 3.17322i | 0.0706104 | + | 0.263522i | ||||
\(146\) | −5.44781 | − | 3.14529i | −0.450864 | − | 0.260306i | ||||
\(147\) | −1.07526 | − | 1.35787i | −0.0886861 | − | 0.111995i | ||||
\(148\) | 1.22304 | − | 1.22304i | 0.100533 | − | 0.100533i | ||||
\(149\) | 3.20516 | − | 11.9618i | 0.262577 | − | 0.979949i | −0.701140 | − | 0.713023i | \(-0.747325\pi\) |
0.963717 | − | 0.266926i | \(-0.0860080\pi\) | |||||||
\(150\) | 0.903558 | − | 7.77925i | 0.0737752 | − | 0.635173i | ||||
\(151\) | −6.54217 | − | 6.54217i | −0.532394 | − | 0.532394i | 0.388890 | − | 0.921284i | \(-0.372859\pi\) |
−0.921284 | + | 0.388890i | \(0.872859\pi\) | |||||||
\(152\) | −0.588403 | + | 0.339715i | −0.0477258 | + | 0.0275545i | ||||
\(153\) | 1.58873 | − | 6.74689i | 0.128441 | − | 0.545454i | ||||
\(154\) | 0.923060 | − | 0.247333i | 0.0743823 | − | 0.0199307i | ||||
\(155\) | −1.24653 | −0.100123 | ||||||||
\(156\) | 5.19671 | + | 3.46327i | 0.416070 | + | 0.277283i | ||||
\(157\) | −0.344590 | −0.0275013 | −0.0137506 | − | 0.999905i | \(-0.504377\pi\) | ||||
−0.0137506 | + | 0.999905i | \(0.504377\pi\) | |||||||
\(158\) | −3.07287 | + | 0.823373i | −0.244465 | + | 0.0655041i | ||||
\(159\) | −6.40821 | + | 16.1645i | −0.508204 | + | 1.28193i | ||||
\(160\) | −0.599034 | + | 0.345852i | −0.0473578 | + | 0.0273420i | ||||
\(161\) | 0.321327 | + | 0.321327i | 0.0253241 | + | 0.0253241i | ||||
\(162\) | 2.85562 | + | 8.53495i | 0.224359 | + | 0.670569i | ||||
\(163\) | 2.09998 | − | 7.83722i | 0.164483 | − | 0.613858i | −0.833623 | − | 0.552334i | \(-0.813737\pi\) |
0.998106 | − | 0.0615241i | \(-0.0195961\pi\) | |||||||
\(164\) | −6.70190 | + | 6.70190i | −0.523330 | + | 0.523330i | ||||
\(165\) | 0.897562 | − | 0.710756i | 0.0698751 | − | 0.0553323i | ||||
\(166\) | −0.584151 | − | 0.337260i | −0.0453389 | − | 0.0261765i | ||||
\(167\) | 4.79071 | + | 17.8792i | 0.370716 | + | 1.38353i | 0.859504 | + | 0.511129i | \(0.170773\pi\) |
−0.488788 | + | 0.872403i | \(0.662561\pi\) | |||||||
\(168\) | −0.252269 | − | 1.71358i | −0.0194630 | − | 0.132206i | ||||
\(169\) | 1.33374 | + | 12.9314i | 0.102595 | + | 0.994723i | ||||
\(170\) | 1.59816i | 0.122574i | ||||||||
\(171\) | −1.07256 | − | 1.73327i | −0.0820210 | − | 0.132547i | ||||
\(172\) | 0.438454 | − | 0.759424i | 0.0334318 | − | 0.0579055i | ||||
\(173\) | −5.44635 | − | 9.43336i | −0.414079 | − | 0.717205i | 0.581253 | − | 0.813723i | \(-0.302563\pi\) |
−0.995331 | + | 0.0965181i | \(0.969229\pi\) | |||||||
\(174\) | −6.60194 | − | 4.90754i | −0.500492 | − | 0.372040i | ||||
\(175\) | −4.36748 | − | 1.17026i | −0.330150 | − | 0.0884635i | ||||
\(176\) | 0.923060 | + | 0.247333i | 0.0695782 | + | 0.0186434i | ||||
\(177\) | −16.3700 | − | 12.1686i | −1.23045 | − | 0.914649i | ||||
\(178\) | −1.50848 | − | 2.61277i | −0.113066 | − | 0.195835i | ||||
\(179\) | −1.11063 | + | 1.92368i | −0.0830127 | + | 0.143782i | −0.904543 | − | 0.426383i | \(-0.859788\pi\) |
0.821530 | + | 0.570165i | \(0.193121\pi\) | |||||||
\(180\) | −1.09194 | − | 1.76458i | −0.0813884 | − | 0.131524i | ||||
\(181\) | 6.51249i | 0.484069i | 0.970268 | + | 0.242035i | \(0.0778148\pi\) | ||||
−0.970268 | + | 0.242035i | \(0.922185\pi\) | |||||||
\(182\) | 2.41519 | − | 2.67710i | 0.179026 | − | 0.198440i | ||||
\(183\) | 3.47425 | + | 23.5994i | 0.256824 | + | 1.74452i | ||||
\(184\) | 0.117614 | + | 0.438941i | 0.00867060 | + | 0.0323591i | ||||
\(185\) | −1.03611 | − | 0.598199i | −0.0761764 | − | 0.0439805i | ||||
\(186\) | 2.44703 | − | 1.93774i | 0.179425 | − | 0.142082i | ||||
\(187\) | 1.56125 | − | 1.56125i | 0.114170 | − | 0.114170i | ||||
\(188\) | −2.68329 | + | 10.0142i | −0.195699 | + | 0.730360i | ||||
\(189\) | 5.11524 | − | 0.913408i | 0.372079 | − | 0.0664407i | ||||
\(190\) | 0.332315 | + | 0.332315i | 0.0241087 | + | 0.0241087i | ||||
\(191\) | −0.590207 | + | 0.340756i | −0.0427059 | + | 0.0246563i | −0.521201 | − | 0.853434i | \(-0.674516\pi\) |
0.478495 | + | 0.878090i | \(0.341182\pi\) | |||||||
\(192\) | 0.638319 | − | 1.61014i | 0.0460667 | − | 0.116202i | ||||
\(193\) | 12.6264 | − | 3.38324i | 0.908869 | − | 0.243531i | 0.226048 | − | 0.974116i | \(-0.427419\pi\) |
0.682821 | + | 0.730585i | \(0.260753\pi\) | |||||||
\(194\) | −12.0787 | −0.867199 | ||||||||
\(195\) | 1.38358 | − | 4.09212i | 0.0990805 | − | 0.293043i | ||||
\(196\) | −1.00000 | −0.0714286 | ||||||||
\(197\) | 3.46619 | − | 0.928764i | 0.246956 | − | 0.0661717i | −0.133218 | − | 0.991087i | \(-0.542531\pi\) |
0.380174 | + | 0.924915i | \(0.375864\pi\) | |||||||
\(198\) | −0.657107 | + | 2.79054i | −0.0466985 | + | 0.198315i | ||||
\(199\) | 8.29160 | − | 4.78716i | 0.587776 | − | 0.339353i | −0.176442 | − | 0.984311i | \(-0.556459\pi\) |
0.764218 | + | 0.644958i | \(0.223125\pi\) | |||||||
\(200\) | −3.19722 | − | 3.19722i | −0.226077 | − | 0.226077i | ||||
\(201\) | 1.95370 | − | 16.8205i | 0.137803 | − | 1.18643i | ||||
\(202\) | 3.42899 | − | 12.7972i | 0.241263 | − | 0.900406i | ||||
\(203\) | −3.35831 | + | 3.35831i | −0.235707 | + | 0.235707i | ||||
\(204\) | −2.48436 | − | 3.13732i | −0.173940 | − | 0.219656i | ||||
\(205\) | 5.67759 | + | 3.27796i | 0.396540 | + | 0.228942i | ||||
\(206\) | 3.76488 | + | 14.0507i | 0.262312 | + | 0.978960i | ||||
\(207\) | −1.30544 | + | 0.392881i | −0.0907340 | + | 0.0273071i | ||||
\(208\) | 3.43016 | − | 1.11084i | 0.237839 | − | 0.0770232i | ||||
\(209\) | − | 0.649278i | − | 0.0449115i | ||||||
\(210\) | −1.09974 | + | 0.475326i | −0.0758893 | + | 0.0328006i | ||||
\(211\) | −10.7025 | + | 18.5373i | −0.736792 | + | 1.27616i | 0.217140 | + | 0.976140i | \(0.430327\pi\) |
−0.953932 | + | 0.300022i | \(0.903006\pi\) | |||||||
\(212\) | 5.01960 | + | 8.69420i | 0.344747 | + | 0.597120i | ||||
\(213\) | 3.79957 | − | 5.11143i | 0.260342 | − | 0.350229i | ||||
\(214\) | −1.83427 | − | 0.491490i | −0.125388 | − | 0.0335976i | ||||
\(215\) | −0.585892 | − | 0.156989i | −0.0399575 | − | 0.0107066i | ||||
\(216\) | 4.88663 | + | 1.76659i | 0.332493 | + | 0.120201i | ||||
\(217\) | −0.901054 | − | 1.56067i | −0.0611675 | − | 0.105945i | ||||
\(218\) | 3.99889 | − | 6.92629i | 0.270839 | − | 0.469107i | ||||
\(219\) | −4.32277 | − | 10.0014i | −0.292106 | − | 0.675832i | ||||
\(220\) | − | 0.661008i | − | 0.0445651i | ||||||
\(221\) | 1.73993 | − | 8.14680i | 0.117040 | − | 0.548013i | ||||
\(222\) | 2.96387 | − | 0.436335i | 0.198922 | − | 0.0292849i | ||||
\(223\) | 5.63645 | + | 21.0355i | 0.377445 | + | 1.40864i | 0.849740 | + | 0.527202i | \(0.176759\pi\) |
−0.472295 | + | 0.881440i | \(0.656574\pi\) | |||||||
\(224\) | −0.866025 | − | 0.500000i | −0.0578638 | − | 0.0334077i | ||||
\(225\) | 9.29433 | − | 9.88002i | 0.619622 | − | 0.658668i | ||||
\(226\) | 9.59897 | − | 9.59897i | 0.638514 | − | 0.638514i | ||||
\(227\) | 5.82374 | − | 21.7345i | 0.386535 | − | 1.44257i | −0.449198 | − | 0.893432i | \(-0.648290\pi\) |
0.835733 | − | 0.549136i | \(-0.185043\pi\) | |||||||
\(228\) | −1.16895 | − | 0.135773i | −0.0774155 | − | 0.00899179i | ||||
\(229\) | 9.41590 | + | 9.41590i | 0.622220 | + | 0.622220i | 0.946099 | − | 0.323879i | \(-0.104987\pi\) |
−0.323879 | + | 0.946099i | \(0.604987\pi\) | |||||||
\(230\) | 0.272216 | − | 0.157164i | 0.0179494 | − | 0.0103631i | ||||
\(231\) | 1.53868 | + | 0.609991i | 0.101238 | + | 0.0401345i | ||||
\(232\) | −4.58754 | + | 1.22923i | −0.301187 | + | 0.0807027i | ||||
\(233\) | 6.19134 | 0.405608 | 0.202804 | − | 0.979219i | \(-0.434995\pi\) | ||||
0.202804 | + | 0.979219i | \(0.434995\pi\) | |||||||
\(234\) | 3.64516 | + | 10.1839i | 0.238292 | + | 0.665746i | ||||
\(235\) | 7.17121 | 0.467798 | ||||||||
\(236\) | −11.3752 | + | 3.04796i | −0.740459 | + | 0.198405i | ||||
\(237\) | −5.12229 | − | 2.03067i | −0.332728 | − | 0.131906i | ||||
\(238\) | −2.00093 | + | 1.15524i | −0.129701 | + | 0.0748829i | ||||
\(239\) | 10.4405 | + | 10.4405i | 0.675342 | + | 0.675342i | 0.958942 | − | 0.283601i | \(-0.0915290\pi\) |
−0.283601 | + | 0.958942i | \(0.591529\pi\) | |||||||
\(240\) | −1.19007 | − | 0.138226i | −0.0768185 | − | 0.00892245i | ||||
\(241\) | 3.14908 | − | 11.7525i | 0.202850 | − | 0.757046i | −0.787244 | − | 0.616641i | \(-0.788493\pi\) |
0.990094 | − | 0.140405i | \(-0.0448403\pi\) | |||||||
\(242\) | 7.13244 | − | 7.13244i | 0.458490 | − | 0.458490i | ||||
\(243\) | −4.84970 | + | 14.8149i | −0.311108 | + | 0.950374i | ||||
\(244\) | 11.9269 | + | 6.88600i | 0.763542 | + | 0.440831i | ||||
\(245\) | 0.179026 | + | 0.668135i | 0.0114376 | + | 0.0426856i | ||||
\(246\) | −16.2412 | + | 2.39099i | −1.03550 | + | 0.152444i | ||||
\(247\) | −1.33222 | − | 2.05580i | −0.0847668 | − | 0.130808i | ||||
\(248\) | − | 1.80211i | − | 0.114434i | ||||||
\(249\) | −0.463517 | − | 1.07242i | −0.0293742 | − | 0.0679618i | ||||
\(250\) | −3.29305 | + | 5.70372i | −0.208271 | + | 0.360735i | ||||
\(251\) | 3.51417 | + | 6.08672i | 0.221812 | + | 0.384190i | 0.955358 | − | 0.295450i | \(-0.0954694\pi\) |
−0.733546 | + | 0.679640i | \(0.762136\pi\) | |||||||
\(252\) | 1.41998 | − | 2.64266i | 0.0894502 | − | 0.166472i | ||||
\(253\) | −0.419461 | − | 0.112394i | −0.0263713 | − | 0.00706617i | ||||
\(254\) | −8.22267 | − | 2.20326i | −0.515936 | − | 0.138245i | ||||
\(255\) | −1.65139 | + | 2.22155i | −0.103414 | + | 0.139119i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −1.65180 | + | 2.86099i | −0.103036 | + | 0.178464i | −0.912934 | − | 0.408107i | \(-0.866189\pi\) |
0.809898 | + | 0.586571i | \(0.199522\pi\) | |||||||
\(258\) | 1.39419 | − | 0.602594i | 0.0867988 | − | 0.0375158i | ||||
\(259\) | − | 1.72964i | − | 0.107474i | ||||||
\(260\) | −1.35628 | − | 2.09294i | −0.0841131 | − | 0.129799i | ||||
\(261\) | −4.10615 | − | 13.6436i | −0.254165 | − | 0.844519i | ||||
\(262\) | 0.932123 | + | 3.47873i | 0.0575868 | + | 0.214917i | ||||
\(263\) | −8.77075 | − | 5.06379i | −0.540828 | − | 0.312247i | 0.204587 | − | 0.978848i | \(-0.434415\pi\) |
−0.745414 | + | 0.666601i | \(0.767748\pi\) | |||||||
\(264\) | 1.02754 | + | 1.29761i | 0.0632409 | + | 0.0798624i | ||||
\(265\) | 4.91026 | − | 4.91026i | 0.301635 | − | 0.301635i | ||||
\(266\) | −0.175849 | + | 0.656279i | −0.0107820 | + | 0.0402390i | ||||
\(267\) | 0.602892 | − | 5.19064i | 0.0368964 | − | 0.317662i | ||||
\(268\) | −6.91311 | − | 6.91311i | −0.422285 | − | 0.422285i | ||||
\(269\) | 2.87311 | − | 1.65879i | 0.175177 | − | 0.101138i | −0.409848 | − | 0.912154i | \(-0.634418\pi\) |
0.585025 | + | 0.811016i | \(0.301085\pi\) | |||||||
\(270\) | 0.305482 | − | 3.58120i | 0.0185911 | − | 0.217945i | ||||
\(271\) | 10.8523 | − | 2.90785i | 0.659228 | − | 0.176640i | 0.0863303 | − | 0.996267i | \(-0.472486\pi\) |
0.572897 | + | 0.819627i | \(0.305819\pi\) | |||||||
\(272\) | −2.31047 | −0.140093 | ||||||||
\(273\) | 6.12353 | − | 1.22573i | 0.370613 | − | 0.0741843i | ||||
\(274\) | 4.27578 | 0.258310 | ||||||||
\(275\) | 4.17366 | − | 1.11833i | 0.251681 | − | 0.0674377i | ||||
\(276\) | −0.290068 | + | 0.731687i | −0.0174600 | + | 0.0440424i | ||||
\(277\) | 24.9930 | − | 14.4297i | 1.50168 | − | 0.866997i | 0.501685 | − | 0.865050i | \(-0.332714\pi\) |
0.999998 | − | 0.00194697i | \(-0.000619740\pi\) | |||||||
\(278\) | 12.4346 | + | 12.4346i | 0.745778 | + | 0.745778i | ||||
\(279\) | 5.40380 | − | 0.165062i | 0.323517 | − | 0.00988199i | ||||
\(280\) | −0.179026 | + | 0.668135i | −0.0106989 | + | 0.0399287i | ||||
\(281\) | 14.0821 | − | 14.0821i | 0.840066 | − | 0.840066i | −0.148802 | − | 0.988867i | \(-0.547542\pi\) |
0.988867 | + | 0.148802i | \(0.0475415\pi\) | |||||||
\(282\) | −14.0777 | + | 11.1477i | −0.838312 | + | 0.663838i | ||||
\(283\) | −0.407336 | − | 0.235175i | −0.0242136 | − | 0.0139797i | 0.487844 | − | 0.872931i | \(-0.337783\pi\) |
−0.512058 | + | 0.858951i | \(0.671117\pi\) | |||||||
\(284\) | −0.951706 | − | 3.55182i | −0.0564734 | − | 0.210762i | ||||
\(285\) | 0.118558 | + | 0.805322i | 0.00702275 | + | 0.0477032i | ||||
\(286\) | −0.719643 | + | 3.36955i | −0.0425534 | + | 0.199246i | ||||
\(287\) | 9.47792i | 0.559464i | ||||||||
\(288\) | 2.55107 | − | 1.57862i | 0.150323 | − | 0.0930213i | ||||
\(289\) | 5.83086 | − | 10.0993i | 0.342992 | − | 0.594079i | ||||
\(290\) | 1.64258 | + | 2.84503i | 0.0964556 | + | 0.167066i | ||||
\(291\) | −16.7902 | − | 12.4810i | −0.984258 | − | 0.731646i | ||||
\(292\) | −6.07624 | − | 1.62812i | −0.355585 | − | 0.0952787i | ||||
\(293\) | 20.9122 | + | 5.60342i | 1.22171 | + | 0.327355i | 0.811345 | − | 0.584568i | \(-0.198736\pi\) |
0.410361 | + | 0.911923i | \(0.365403\pi\) | |||||||
\(294\) | −1.39007 | − | 1.03330i | −0.0810703 | − | 0.0602635i | ||||
\(295\) | 4.07290 | + | 7.05447i | 0.237133 | + | 0.410727i | ||||
\(296\) | 0.864819 | − | 1.49791i | 0.0502666 | − | 0.0870643i | ||||
\(297\) | −3.79690 | + | 3.20005i | −0.220318 | + | 0.185686i | ||||
\(298\) | − | 12.3838i | − | 0.717373i | ||||||
\(299\) | −1.55875 | + | 0.504795i | −0.0901449 | + | 0.0291930i | ||||
\(300\) | −1.14065 | − | 7.74803i | −0.0658553 | − | 0.447333i | ||||
\(301\) | −0.226960 | − | 0.847027i | −0.0130818 | − | 0.0488218i | ||||
\(302\) | −8.01249 | − | 4.62601i | −0.461067 | − | 0.266197i | ||||
\(303\) | 17.9899 | − | 14.2457i | 1.03349 | − | 0.818396i | ||||
\(304\) | −0.480429 | + | 0.480429i | −0.0275545 | + | 0.0275545i | ||||
\(305\) | 2.46555 | − | 9.20155i | 0.141177 | − | 0.526879i | ||||
\(306\) | −0.211625 | − | 6.92819i | −0.0120978 | − | 0.396058i | ||||
\(307\) | −12.1224 | − | 12.1224i | −0.691861 | − | 0.691861i | 0.270780 | − | 0.962641i | \(-0.412718\pi\) |
−0.962641 | + | 0.270780i | \(0.912718\pi\) | |||||||
\(308\) | 0.827593 | − | 0.477811i | 0.0471565 | − | 0.0272258i | ||||
\(309\) | −9.28523 | + | 23.4217i | −0.528218 | + | 1.33241i | ||||
\(310\) | −1.20405 | + | 0.322625i | −0.0683855 | + | 0.0183238i | ||||
\(311\) | 16.1442 | 0.915452 | 0.457726 | − | 0.889093i | \(-0.348664\pi\) | ||||
0.457726 | + | 0.889093i | \(0.348664\pi\) | |||||||
\(312\) | 5.91599 | + | 2.00025i | 0.334927 | + | 0.113242i | ||||
\(313\) | 4.95586 | 0.280122 | 0.140061 | − | 0.990143i | \(-0.455270\pi\) | ||||
0.140061 | + | 0.990143i | \(0.455270\pi\) | |||||||
\(314\) | −0.332848 | + | 0.0891865i | −0.0187837 | + | 0.00503308i | ||||
\(315\) | −2.01987 | − | 0.475631i | −0.113807 | − | 0.0267988i | ||||
\(316\) | −2.75506 | + | 1.59064i | −0.154984 | + | 0.0894802i | ||||
\(317\) | 2.01058 | + | 2.01058i | 0.112925 | + | 0.112925i | 0.761312 | − | 0.648386i | \(-0.224556\pi\) |
−0.648386 | + | 0.761312i | \(0.724556\pi\) | |||||||
\(318\) | −2.00617 | + | 17.2723i | −0.112501 | + | 0.968581i | ||||
\(319\) | 1.17468 | − | 4.38395i | 0.0657693 | − | 0.245454i | ||||
\(320\) | −0.489109 | + | 0.489109i | −0.0273420 | + | 0.0273420i | ||||
\(321\) | −2.04189 | − | 2.57856i | −0.113967 | − | 0.143921i | ||||
\(322\) | 0.393543 | + | 0.227212i | 0.0219313 | + | 0.0126620i | ||||
\(323\) | 0.406295 | + | 1.51631i | 0.0226069 | + | 0.0843700i | ||||
\(324\) | 4.96732 | + | 7.50504i | 0.275962 | + | 0.416947i | ||||
\(325\) | 10.9204 | − | 12.1046i | 0.605754 | − | 0.671444i | ||||
\(326\) | − | 8.11369i | − | 0.449375i | ||||||
\(327\) | 12.7157 | − | 5.49593i | 0.703179 | − | 0.303925i | ||||
\(328\) | −4.73896 | + | 8.20812i | −0.261665 | + | 0.453217i | ||||
\(329\) | 5.18373 | + | 8.97848i | 0.285788 | + | 0.495000i | ||||
\(330\) | 0.683021 | − | 0.918844i | 0.0375991 | − | 0.0505807i | ||||
\(331\) | −16.0182 | − | 4.29205i | −0.880438 | − | 0.235913i | −0.209842 | − | 0.977735i | \(-0.567295\pi\) |
−0.670596 | + | 0.741823i | \(0.733962\pi\) | |||||||
\(332\) | −0.651536 | − | 0.174579i | −0.0357577 | − | 0.00958125i | ||||
\(333\) | 4.57085 | + | 2.45605i | 0.250481 | + | 0.134591i | ||||
\(334\) | 9.25494 | + | 16.0300i | 0.506408 | + | 0.877124i | ||||
\(335\) | −3.38126 | + | 5.85652i | −0.184738 | + | 0.319976i | ||||
\(336\) | −0.687181 | − | 1.58990i | −0.0374888 | − | 0.0867362i | ||||
\(337\) | − | 16.5753i | − | 0.902916i | −0.892292 | − | 0.451458i | \(-0.850904\pi\) | ||
0.892292 | − | 0.451458i | \(-0.149096\pi\) | |||||||
\(338\) | 4.63519 | + | 12.1456i | 0.252121 | + | 0.660632i | ||||
\(339\) | 23.2618 | − | 3.42455i | 1.26341 | − | 0.185996i | ||||
\(340\) | 0.413635 | + | 1.54371i | 0.0224325 | + | 0.0837193i | ||||
\(341\) | 1.49141 | + | 0.861067i | 0.0807644 | + | 0.0466294i | ||||
\(342\) | −1.48462 | − | 1.39661i | −0.0802791 | − | 0.0755201i | ||||
\(343\) | −0.707107 | + | 0.707107i | −0.0381802 | + | 0.0381802i | ||||
\(344\) | 0.226960 | − | 0.847027i | 0.0122369 | − | 0.0456686i | ||||
\(345\) | 0.540796 | + | 0.0628133i | 0.0291155 | + | 0.00338176i | ||||
\(346\) | −7.70231 | − | 7.70231i | −0.414079 | − | 0.414079i | ||||
\(347\) | 12.7078 | − | 7.33688i | 0.682193 | − | 0.393864i | −0.118488 | − | 0.992956i | \(-0.537805\pi\) |
0.800681 | + | 0.599091i | \(0.204471\pi\) | |||||||
\(348\) | −7.64715 | − | 3.03161i | −0.409930 | − | 0.162512i | ||||
\(349\) | −13.4718 | + | 3.60976i | −0.721129 | + | 0.193226i | −0.600676 | − | 0.799493i | \(-0.705102\pi\) |
−0.120454 | + | 0.992719i | \(0.538435\pi\) | |||||||
\(350\) | −4.52155 | −0.241687 | ||||||||
\(351\) | −5.45610 | + | 17.9229i | −0.291225 | + | 0.956655i | ||||
\(352\) | 0.955622 | 0.0509348 | ||||||||
\(353\) | 9.52698 | − | 2.55275i | 0.507070 | − | 0.135869i | 0.00379078 | − | 0.999993i | \(-0.498793\pi\) |
0.503279 | + | 0.864124i | \(0.332127\pi\) | |||||||
\(354\) | −18.9617 | − | 7.51711i | −1.00780 | − | 0.399530i | ||||
\(355\) | −2.20271 | + | 1.27174i | −0.116908 | + | 0.0674968i | ||||
\(356\) | −2.13332 | − | 2.13332i | −0.113066 | − | 0.113066i | ||||
\(357\) | −3.97513 | − | 0.461711i | −0.210386 | − | 0.0244363i | ||||
\(358\) | −0.574907 | + | 2.14558i | −0.0303848 | + | 0.113397i | ||||
\(359\) | −25.7702 | + | 25.7702i | −1.36010 | + | 1.36010i | −0.486318 | + | 0.873782i | \(0.661660\pi\) |
−0.873782 | + | 0.486318i | \(0.838340\pi\) | |||||||
\(360\) | −1.51144 | − | 1.42184i | −0.0796600 | − | 0.0749377i | ||||
\(361\) | −16.0547 | − | 9.26919i | −0.844984 | − | 0.487852i | ||||
\(362\) | 1.68556 | + | 6.29058i | 0.0885909 | + | 0.330626i | ||||
\(363\) | 17.2845 | − | 2.54459i | 0.907202 | − | 0.133556i | ||||
\(364\) | 1.64001 | − | 3.21098i | 0.0859597 | − | 0.168301i | ||||
\(365\) | 4.35123i | 0.227754i | ||||||||
\(366\) | 9.46385 | + | 21.8961i | 0.494684 | + | 1.14453i | ||||
\(367\) | −12.2275 | + | 21.1787i | −0.638271 | + | 1.10552i | 0.347541 | + | 0.937665i | \(0.387017\pi\) |
−0.985812 | + | 0.167853i | \(0.946317\pi\) | |||||||
\(368\) | 0.227212 | + | 0.393543i | 0.0118443 | + | 0.0205149i | ||||
\(369\) | −25.0469 | − | 13.4584i | −1.30389 | − | 0.700618i | ||||
\(370\) | −1.15563 | − | 0.309651i | −0.0600784 | − | 0.0160980i | ||||
\(371\) | 9.69712 | + | 2.59834i | 0.503449 | + | 0.134899i | ||||
\(372\) | 1.86212 | − | 2.50505i | 0.0965466 | − | 0.129881i | ||||
\(373\) | 17.1444 | + | 29.6949i | 0.887703 | + | 1.53755i | 0.842584 | + | 0.538565i | \(0.181033\pi\) |
0.0451184 | + | 0.998982i | \(0.485633\pi\) | |||||||
\(374\) | 1.10397 | − | 1.91213i | 0.0570849 | − | 0.0988739i | ||||
\(375\) | −10.4712 | + | 4.52584i | −0.540732 | + | 0.233713i | ||||
\(376\) | 10.3675i | 0.534661i | ||||||||
\(377\) | −5.27581 | − | 16.2911i | −0.271718 | − | 0.839035i | ||||
\(378\) | 4.70454 | − | 2.20621i | 0.241975 | − | 0.113475i | ||||
\(379\) | 3.05664 | + | 11.4075i | 0.157009 | + | 0.585966i | 0.998925 | + | 0.0463569i | \(0.0147611\pi\) |
−0.841916 | + | 0.539609i | \(0.818572\pi\) | |||||||
\(380\) | 0.407001 | + | 0.234982i | 0.0208787 | + | 0.0120543i | ||||
\(381\) | −9.15343 | − | 11.5592i | −0.468944 | − | 0.592195i | ||||
\(382\) | −0.481902 | + | 0.481902i | −0.0246563 | + | 0.0246563i | ||||
\(383\) | −5.32445 | + | 19.8711i | −0.272067 | + | 1.01537i | 0.685715 | + | 0.727870i | \(0.259490\pi\) |
−0.957782 | + | 0.287496i | \(0.907177\pi\) | |||||||
\(384\) | 0.199834 | − | 1.72048i | 0.0101977 | − | 0.0877981i | ||||
\(385\) | −0.467403 | − | 0.467403i | −0.0238211 | − | 0.0238211i | ||||
\(386\) | 11.3205 | − | 6.53591i | 0.576200 | − | 0.332669i | ||||
\(387\) | 2.56068 | + | 0.602981i | 0.130167 | + | 0.0306512i | ||||
\(388\) | −11.6671 | + | 3.12620i | −0.592308 | + | 0.158709i | ||||
\(389\) | 1.98079 | 0.100430 | 0.0502151 | − | 0.998738i | \(-0.484009\pi\) | ||||
0.0502151 | + | 0.998738i | \(0.484009\pi\) | |||||||
\(390\) | 0.277322 | − | 4.31078i | 0.0140427 | − | 0.218285i | ||||
\(391\) | 1.04994 | 0.0530975 | ||||||||
\(392\) | −0.965926 | + | 0.258819i | −0.0487866 | + | 0.0130723i | ||||
\(393\) | −2.29887 | + | 5.79883i | −0.115963 | + | 0.292512i | ||||
\(394\) | 3.10771 | − | 1.79423i | 0.156564 | − | 0.0903922i | ||||
\(395\) | 1.55599 | + | 1.55599i | 0.0782902 | + | 0.0782902i | ||||
\(396\) | 0.0875289 | + | 2.86553i | 0.00439849 | + | 0.143998i | ||||
\(397\) | 8.96772 | − | 33.4680i | 0.450077 | − | 1.67971i | −0.252094 | − | 0.967703i | \(-0.581119\pi\) |
0.702171 | − | 0.712008i | \(-0.252214\pi\) | |||||||
\(398\) | 6.77006 | − | 6.77006i | 0.339353 | − | 0.339353i | ||||
\(399\) | −0.922577 | + | 0.730565i | −0.0461866 | + | 0.0365740i | ||||
\(400\) | −3.91577 | − | 2.26077i | −0.195789 | − | 0.113039i | ||||
\(401\) | 6.92912 | + | 25.8598i | 0.346024 | + | 1.29138i | 0.891412 | + | 0.453194i | \(0.149716\pi\) |
−0.545388 | + | 0.838183i | \(0.683618\pi\) | |||||||
\(402\) | −2.46634 | − | 16.7530i | −0.123010 | − | 0.835564i | ||||
\(403\) | 6.48901 | − | 0.333752i | 0.323241 | − | 0.0166254i | ||||
\(404\) | − | 13.2486i | − | 0.659143i | ||||||
\(405\) | 4.12510 | − | 4.66244i | 0.204978 | − | 0.231679i | ||||
\(406\) | −2.37469 | + | 4.11308i | −0.117854 | + | 0.204129i | ||||
\(407\) | 0.826440 | + | 1.43144i | 0.0409651 | + | 0.0709536i | ||||
\(408\) | −3.21171 | − | 2.38742i | −0.159003 | − | 0.118195i | ||||
\(409\) | −15.2615 | − | 4.08931i | −0.754633 | − | 0.202203i | −0.139061 | − | 0.990284i | \(-0.544408\pi\) |
−0.615572 | + | 0.788081i | \(0.711075\pi\) | |||||||
\(410\) | 6.33253 | + | 1.69680i | 0.312741 | + | 0.0837988i | ||||
\(411\) | 5.94362 | + | 4.41818i | 0.293177 | + | 0.217933i | ||||
\(412\) | 7.27319 | + | 12.5975i | 0.358324 | + | 0.620636i | ||||
\(413\) | −5.88821 | + | 10.1987i | −0.289740 | + | 0.501844i | ||||
\(414\) | −1.15927 | + | 0.717365i | −0.0569749 | + | 0.0352566i | ||||
\(415\) | 0.466568i | 0.0229029i | ||||||||
\(416\) | 3.02578 | − | 1.96078i | 0.148351 | − | 0.0961354i | ||||
\(417\) | 4.43620 | + | 30.1336i | 0.217242 | + | 1.47565i | ||||
\(418\) | −0.168045 | − | 0.627154i | −0.00821937 | − | 0.0306751i | ||||
\(419\) | 1.43075 | + | 0.826043i | 0.0698966 | + | 0.0403548i | 0.534541 | − | 0.845143i | \(-0.320485\pi\) |
−0.464644 | + | 0.885497i | \(0.653818\pi\) | |||||||
\(420\) | −0.939245 | + | 0.743764i | −0.0458304 | + | 0.0362919i | ||||
\(421\) | 5.05280 | − | 5.05280i | 0.246259 | − | 0.246259i | −0.573175 | − | 0.819433i | \(-0.694288\pi\) |
0.819433 | + | 0.573175i | \(0.194288\pi\) | |||||||
\(422\) | −5.54004 | + | 20.6757i | −0.269685 | + | 1.00648i | ||||
\(423\) | −31.0879 | + | 0.949594i | −1.51154 | + | 0.0461708i | ||||
\(424\) | 7.09878 | + | 7.09878i | 0.344747 | + | 0.344747i | ||||
\(425\) | −9.04729 | + | 5.22345i | −0.438858 | + | 0.253375i | ||||
\(426\) | 2.34717 | − | 5.92066i | 0.113721 | − | 0.286857i | ||||
\(427\) | 13.3027 | − | 3.56446i | 0.643764 | − | 0.172496i | ||||
\(428\) | −1.89897 | −0.0917903 | ||||||||
\(429\) | −4.48212 | + | 3.94029i | −0.216399 | + | 0.190239i | ||||
\(430\) | −0.606560 | −0.0292509 | ||||||||
\(431\) | 8.60327 | − | 2.30524i | 0.414405 | − | 0.111039i | −0.0455917 | − | 0.998960i | \(-0.514517\pi\) |
0.459997 | + | 0.887921i | \(0.347851\pi\) | |||||||
\(432\) | 5.17735 | + | 0.441637i | 0.249095 | + | 0.0212483i | ||||
\(433\) | −11.2117 | + | 6.47306i | −0.538798 | + | 0.311075i | −0.744592 | − | 0.667520i | \(-0.767356\pi\) |
0.205794 | + | 0.978595i | \(0.434022\pi\) | |||||||
\(434\) | −1.27428 | − | 1.27428i | −0.0611675 | − | 0.0611675i | ||||
\(435\) | −0.656487 | + | 5.65207i | −0.0314761 | + | 0.270996i | ||||
\(436\) | 2.06998 | − | 7.72527i | 0.0991340 | − | 0.369973i | ||||
\(437\) | 0.218319 | − | 0.218319i | 0.0104436 | − | 0.0104436i | ||||
\(438\) | −6.76403 | − | 8.54180i | −0.323198 | − | 0.408143i | ||||
\(439\) | −35.4886 | − | 20.4894i | −1.69378 | − | 0.977904i | −0.951417 | − | 0.307906i | \(-0.900372\pi\) |
−0.742363 | − | 0.669998i | \(-0.766295\pi\) | |||||||
\(440\) | −0.171081 | − | 0.638484i | −0.00815598 | − | 0.0304385i | ||||
\(441\) | −0.864568 | − | 2.87272i | −0.0411699 | − | 0.136796i | ||||
\(442\) | −0.427902 | − | 8.31953i | −0.0203532 | − | 0.395720i | ||||
\(443\) | − | 37.6638i | − | 1.78946i | −0.446607 | − | 0.894730i | \(-0.647368\pi\) | ||
0.446607 | − | 0.894730i | \(-0.352632\pi\) | |||||||
\(444\) | 2.74995 | − | 1.18857i | 0.130507 | − | 0.0564072i | ||||
\(445\) | −1.04342 | + | 1.80726i | −0.0494630 | + | 0.0856725i | ||||
\(446\) | 10.8888 | + | 18.8599i | 0.515599 | + | 0.893043i | ||||
\(447\) | 12.7962 | − | 17.2143i | 0.605239 | − | 0.814207i | ||||
\(448\) | −0.965926 | − | 0.258819i | −0.0456357 | − | 0.0122281i | ||||
\(449\) | 24.8854 | + | 6.66802i | 1.17441 | + | 0.314683i | 0.792709 | − | 0.609601i | \(-0.208670\pi\) |
0.381705 | + | 0.924284i | \(0.375337\pi\) | |||||||
\(450\) | 6.42050 | − | 11.9489i | 0.302665 | − | 0.563277i | ||||
\(451\) | −4.52865 | − | 7.84385i | −0.213246 | − | 0.369353i | ||||
\(452\) | 6.78749 | − | 11.7563i | 0.319257 | − | 0.552969i | ||||
\(453\) | −6.35782 | − | 14.7098i | −0.298716 | − | 0.691127i | ||||
\(454\) | − | 22.5012i | − | 1.05603i | ||||||
\(455\) | −2.43897 | − | 0.520897i | −0.114341 | − | 0.0244200i | ||||
\(456\) | −1.16426 | + | 0.171399i | −0.0545214 | + | 0.00802651i | ||||
\(457\) | 3.53106 | + | 13.1781i | 0.165176 | + | 0.616446i | 0.998018 | + | 0.0629344i | \(0.0200459\pi\) |
−0.832841 | + | 0.553512i | \(0.813287\pi\) | |||||||
\(458\) | 11.5321 | + | 6.65805i | 0.538858 | + | 0.311110i | ||||
\(459\) | 6.86475 | − | 9.84931i | 0.320419 | − | 0.459726i | ||||
\(460\) | 0.222263 | − | 0.222263i | 0.0103631 | − | 0.0103631i | ||||
\(461\) | 3.32582 | − | 12.4121i | 0.154899 | − | 0.578090i | −0.844215 | − | 0.536004i | \(-0.819933\pi\) |
0.999114 | − | 0.0420857i | \(-0.0134002\pi\) | |||||||
\(462\) | 1.64413 | + | 0.190966i | 0.0764919 | + | 0.00888453i | ||||
\(463\) | 2.61340 | + | 2.61340i | 0.121455 | + | 0.121455i | 0.765222 | − | 0.643767i | \(-0.222629\pi\) |
−0.643767 | + | 0.765222i | \(0.722629\pi\) | |||||||
\(464\) | −4.11308 | + | 2.37469i | −0.190945 | + | 0.110242i | ||||
\(465\) | −2.00708 | − | 0.795681i | −0.0930761 | − | 0.0368988i | ||||
\(466\) | 5.98038 | − | 1.60244i | 0.277036 | − | 0.0742314i | ||||
\(467\) | 26.4925 | 1.22593 | 0.612963 | − | 0.790111i | \(-0.289977\pi\) | ||||
0.612963 | + | 0.790111i | \(0.289977\pi\) | |||||||
\(468\) | 6.15675 | + | 8.89350i | 0.284596 | + | 0.411102i | ||||
\(469\) | −9.77661 | −0.451442 | ||||||||
\(470\) | 6.92686 | − | 1.85605i | 0.319512 | − | 0.0856130i | ||||
\(471\) | −0.554838 | − | 0.219958i | −0.0255656 | − | 0.0101351i | ||||
\(472\) | −10.1987 | + | 5.88821i | −0.469432 | + | 0.271027i | ||||
\(473\) | 0.592549 | + | 0.592549i | 0.0272454 | + | 0.0272454i | ||||
\(474\) | −5.47333 | − | 0.635726i | −0.251398 | − | 0.0291999i | ||||
\(475\) | −0.795111 | + | 2.96739i | −0.0364822 | + | 0.136153i | ||||
\(476\) | −1.63375 | + | 1.63375i | −0.0748829 | + | 0.0748829i | ||||
\(477\) | −20.6362 | + | 21.9366i | −0.944868 | + | 1.00441i | ||||
\(478\) | 12.7870 | + | 7.38257i | 0.584863 | + | 0.337671i | ||||
\(479\) | −3.48343 | − | 13.0003i | −0.159162 | − | 0.594001i | −0.998713 | − | 0.0507198i | \(-0.983848\pi\) |
0.839551 | − | 0.543281i | \(-0.182818\pi\) | |||||||
\(480\) | −1.18529 | + | 0.174496i | −0.0541009 | + | 0.00796461i | ||||
\(481\) | 5.55383 | + | 2.83662i | 0.253233 | + | 0.129339i | ||||
\(482\) | − | 12.1671i | − | 0.554196i | ||||||
\(483\) | 0.312272 | + | 0.722490i | 0.0142089 | + | 0.0328744i | ||||
\(484\) | 5.04339 | − | 8.73541i | 0.229245 | − | 0.397064i | ||||
\(485\) | 4.17744 | + | 7.23554i | 0.189688 | + | 0.328549i | ||||
\(486\) | −0.850080 | + | 15.5653i | −0.0385604 | + | 0.706055i | ||||
\(487\) | −37.8914 | − | 10.1530i | −1.71702 | − | 0.460075i | −0.739894 | − | 0.672723i | \(-0.765124\pi\) |
−0.977129 | + | 0.212649i | \(0.931791\pi\) | |||||||
\(488\) | 13.3027 | + | 3.56446i | 0.602186 | + | 0.161355i | ||||
\(489\) | 8.38390 | − | 11.2786i | 0.379133 | − | 0.510034i | ||||
\(490\) | 0.345852 | + | 0.599034i | 0.0156240 | + | 0.0270616i | ||||
\(491\) | −8.73726 | + | 15.1334i | −0.394307 | + | 0.682960i | −0.993012 | − | 0.118009i | \(-0.962349\pi\) |
0.598705 | + | 0.800969i | \(0.295682\pi\) | |||||||
\(492\) | −15.0689 | + | 6.51304i | −0.679360 | + | 0.293631i | ||||
\(493\) | 10.9733i | 0.494212i | ||||||||
\(494\) | −1.81890 | − | 1.64095i | −0.0818363 | − | 0.0738298i | ||||
\(495\) | 1.89889 | − | 0.571486i | 0.0853488 | − | 0.0256864i | ||||
\(496\) | −0.466420 | − | 1.74070i | −0.0209429 | − | 0.0781598i | ||||
\(497\) | −3.18447 | − | 1.83856i | −0.142843 | − | 0.0824705i | ||||
\(498\) | −0.725286 | − | 0.915911i | −0.0325008 | − | 0.0410429i | ||||
\(499\) | −24.8719 | + | 24.8719i | −1.11342 | + | 1.11342i | −0.120736 | + | 0.992685i | \(0.538525\pi\) |
−0.992685 | + | 0.120736i | \(0.961475\pi\) | |||||||
\(500\) | −1.70461 | + | 6.36168i | −0.0762323 | + | 0.284503i | ||||
\(501\) | −3.69890 | + | 31.8460i | −0.165255 | + | 1.42277i | ||||
\(502\) | 4.96979 | + | 4.96979i | 0.221812 | + | 0.221812i | ||||
\(503\) | −2.94409 | + | 1.69977i | −0.131271 | + | 0.0757891i | −0.564197 | − | 0.825640i | \(-0.690814\pi\) |
0.432927 | + | 0.901429i | \(0.357481\pi\) | |||||||
\(504\) | 0.687622 | − | 2.92013i | 0.0306291 | − | 0.130073i | ||||
\(505\) | −8.85186 | + | 2.37185i | −0.393903 | + | 0.105546i | ||||
\(506\) | −0.434258 | −0.0193051 | ||||||||
\(507\) | −6.10685 | + | 21.6727i | −0.271215 | + | 0.962519i | ||||
\(508\) | −8.51274 | −0.377692 | ||||||||
\(509\) | −13.5551 | + | 3.63207i | −0.600817 | + | 0.160989i | −0.546392 | − | 0.837529i | \(-0.683999\pi\) |
−0.0544250 | + | 0.998518i | \(0.517333\pi\) | |||||||
\(510\) | −1.02014 | + | 2.57327i | −0.0451725 | + | 0.113946i | ||||
\(511\) | −5.44781 | + | 3.14529i | −0.240997 | + | 0.139140i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −0.620597 | − | 3.47545i | −0.0274000 | − | 0.153445i | ||||
\(514\) | −0.855032 | + | 3.19102i | −0.0377138 | + | 0.140750i | ||||
\(515\) | 7.11476 | − | 7.11476i | 0.313514 | − | 0.313514i | ||||
\(516\) | 1.19073 | − | 0.942905i | 0.0524188 | − | 0.0415091i | ||||
\(517\) | −8.58003 | − | 4.95368i | −0.377349 | − | 0.217863i | ||||
\(518\) | −0.447663 | − | 1.67070i | −0.0196692 | − | 0.0734064i | ||||
\(519\) | −2.74790 | − | 18.6655i | −0.120619 | − | 0.819326i | ||||
\(520\) | −1.85176 | − | 1.67060i | −0.0812052 | − | 0.0732605i | ||||
\(521\) | − | 36.5045i | − | 1.59929i | −0.600473 | − | 0.799645i | \(-0.705021\pi\) | ||
0.600473 | − | 0.799645i | \(-0.294979\pi\) | |||||||
\(522\) | −7.49747 | − | 12.1160i | −0.328155 | − | 0.530302i | ||||
\(523\) | −6.98395 | + | 12.0965i | −0.305387 | + | 0.528945i | −0.977347 | − | 0.211642i | \(-0.932119\pi\) |
0.671961 | + | 0.740587i | \(0.265452\pi\) | |||||||
\(524\) | 1.80072 | + | 3.11895i | 0.0786650 | + | 0.136252i | ||||
\(525\) | −6.28525 | − | 4.67213i | −0.274311 | − | 0.203908i | ||||
\(526\) | −9.78250 | − | 2.62121i | −0.426537 | − | 0.114290i | ||||
\(527\) | −4.02185 | − | 1.07765i | −0.175194 | − | 0.0469432i | ||||
\(528\) | 1.32838 | + | 0.987447i | 0.0578102 | + | 0.0429731i | ||||
\(529\) | 11.3967 | + | 19.7397i | 0.495511 | + | 0.858250i | ||||
\(530\) | 3.47208 | − | 6.01382i | 0.150817 | − | 0.261223i | ||||
\(531\) | −18.5905 | − | 30.0425i | −0.806761 | − | 1.30373i | ||||
\(532\) | 0.679430i | 0.0294570i | ||||||||
\(533\) | −30.4334 | − | 15.5438i | −1.31822 | − | 0.673279i | ||||
\(534\) | −0.761088 | − | 5.16981i | −0.0329355 | − | 0.223720i | ||||
\(535\) | 0.339966 | + | 1.26877i | 0.0146980 | + | 0.0548537i | ||||
\(536\) | −8.46679 | − | 4.88830i | −0.365710 | − | 0.211143i | ||||
\(537\) | −3.01620 | + | 2.38845i | −0.130158 | + | 0.103069i | ||||
\(538\) | 2.34589 | − | 2.34589i | 0.101138 | − | 0.101138i | ||||
\(539\) | 0.247333 | − | 0.923060i | 0.0106534 | − | 0.0397590i | ||||
\(540\) | −0.631809 | − | 3.53823i | −0.0271887 | − | 0.152261i | ||||
\(541\) | −31.4285 | − | 31.4285i | −1.35122 | − | 1.35122i | −0.884301 | − | 0.466917i | \(-0.845365\pi\) |
−0.466917 | − | 0.884301i | \(-0.654635\pi\) | |||||||
\(542\) | 9.72987 | − | 5.61754i | 0.417934 | − | 0.241294i | ||||
\(543\) | −4.15704 | + | 10.4860i | −0.178396 | + | 0.449998i | ||||
\(544\) | −2.23175 | + | 0.597994i | −0.0956853 | + | 0.0256388i | ||||
\(545\) | −5.53210 | −0.236969 | ||||||||
\(546\) | 5.59763 | − | 2.76885i | 0.239557 | − | 0.118496i | ||||
\(547\) | −19.0132 | −0.812944 | −0.406472 | − | 0.913663i | \(-0.633241\pi\) | ||||
−0.406472 | + | 0.913663i | \(0.633241\pi\) | |||||||
\(548\) | 4.13009 | − | 1.10665i | 0.176429 | − | 0.0472739i | ||||
\(549\) | −9.46993 | + | 40.2161i | −0.404167 | + | 1.71638i | ||||
\(550\) | 3.74200 | − | 2.16044i | 0.159559 | − | 0.0921216i | ||||
\(551\) | 2.28174 | + | 2.28174i | 0.0972053 | + | 0.0972053i | ||||
\(552\) | −0.0908095 | + | 0.781831i | −0.00386511 | + | 0.0332769i | ||||
\(553\) | −0.823373 | + | 3.07287i | −0.0350134 | + | 0.130672i | ||||
\(554\) | 20.4067 | − | 20.4067i | 0.866997 | − | 0.866997i | ||||
\(555\) | −1.28644 | − | 1.62455i | −0.0546064 | − | 0.0689584i | ||||
\(556\) | 15.2292 | + | 8.79259i | 0.645863 | + | 0.372889i | ||||
\(557\) | 9.57033 | + | 35.7170i | 0.405508 | + | 1.51338i | 0.803117 | + | 0.595822i | \(0.203174\pi\) |
−0.397609 | + | 0.917555i | \(0.630160\pi\) | |||||||
\(558\) | 5.17695 | − | 1.55804i | 0.219158 | − | 0.0659573i | ||||
\(559\) | 3.09200 | + | 0.660366i | 0.130778 | + | 0.0279305i | ||||
\(560\) | 0.691704i | 0.0292298i | ||||||||
\(561\) | 3.51040 | − | 1.51725i | 0.148209 | − | 0.0640585i | ||||
\(562\) | 9.95752 | − | 17.2469i | 0.420033 | − | 0.727518i | ||||
\(563\) | −17.6157 | − | 30.5113i | −0.742414 | − | 1.28590i | −0.951393 | − | 0.307979i | \(-0.900347\pi\) |
0.208979 | − | 0.977920i | \(-0.432986\pi\) | |||||||
\(564\) | −10.7127 | + | 14.4114i | −0.451087 | + | 0.606831i | ||||
\(565\) | −9.06993 | − | 2.43028i | −0.381575 | − | 0.102243i | ||||
\(566\) | −0.454324 | − | 0.121736i | −0.0190967 | − | 0.00511694i | ||||
\(567\) | 8.81930 | + | 1.79444i | 0.370376 | + | 0.0753594i | ||||
\(568\) | −1.83856 | − | 3.18447i | −0.0771441 | − | 0.133617i | ||||
\(569\) | −10.5121 | + | 18.2075i | −0.440690 | + | 0.763298i | −0.997741 | − | 0.0671807i | \(-0.978600\pi\) |
0.557051 | + | 0.830479i | \(0.311933\pi\) | |||||||
\(570\) | 0.322951 | + | 0.747196i | 0.0135269 | + | 0.0312966i | ||||
\(571\) | 26.4973i | 1.10888i | 0.832225 | + | 0.554439i | \(0.187067\pi\) | ||||
−0.832225 | + | 0.554439i | \(0.812933\pi\) | |||||||
\(572\) | 0.176982 | + | 3.44099i | 0.00739999 | + | 0.143875i | ||||
\(573\) | −1.16783 | + | 0.171925i | −0.0487867 | + | 0.00718226i | ||||
\(574\) | 2.45307 | + | 9.15496i | 0.102389 | + | 0.382121i | ||||
\(575\) | 1.77942 | + | 1.02735i | 0.0742071 | + | 0.0428435i | ||||
\(576\) | 2.05556 | − | 2.18510i | 0.0856485 | − | 0.0910457i | ||||
\(577\) | −2.94218 | + | 2.94218i | −0.122484 | + | 0.122484i | −0.765692 | − | 0.643208i | \(-0.777603\pi\) |
0.643208 | + | 0.765692i | \(0.277603\pi\) | |||||||
\(578\) | 3.01827 | − | 11.2644i | 0.125544 | − | 0.468535i | ||||
\(579\) | 22.4899 | + | 2.61219i | 0.934647 | + | 0.108559i | ||||
\(580\) | 2.32296 | + | 2.32296i | 0.0964556 | + | 0.0964556i | ||||
\(581\) | −0.584151 | + | 0.337260i | −0.0242347 | + | 0.0139919i | ||||
\(582\) | −19.4484 | − | 7.71006i | −0.806161 | − | 0.319592i | ||||
\(583\) | −9.26678 | + | 2.48303i | −0.383791 | + | 0.102836i | ||||
\(584\) | −6.29059 | −0.260306 | ||||||||
\(585\) | 4.83984 | − | 5.70571i | 0.200103 | − | 0.235902i | ||||
\(586\) | 21.6499 | 0.894351 | ||||||||
\(587\) | −36.5825 | + | 9.80224i | −1.50992 | + | 0.404582i | −0.916409 | − | 0.400244i | \(-0.868925\pi\) |
−0.593511 | + | 0.804826i | \(0.702259\pi\) | |||||||
\(588\) | −1.61014 | − | 0.638319i | −0.0664010 | − | 0.0263238i | ||||
\(589\) | −1.06037 | + | 0.612203i | −0.0436916 | + | 0.0252254i | ||||
\(590\) | 5.75995 | + | 5.75995i | 0.237133 | + | 0.237133i | ||||
\(591\) | 6.17390 | + | 0.717098i | 0.253961 | + | 0.0294975i | ||||
\(592\) | 0.447663 | − | 1.67070i | 0.0183988 | − | 0.0686654i | ||||
\(593\) | −24.3689 | + | 24.3689i | −1.00071 | + | 1.00071i | −0.000709316 | 1.00000i | \(0.500226\pi\) | |
−1.00000 | 0.000709316i | \(0.999774\pi\) | ||||||||
\(594\) | −2.83929 | + | 4.07372i | −0.116497 | + | 0.167147i | ||||
\(595\) | 1.38405 | + | 0.799082i | 0.0567405 | + | 0.0327592i | ||||
\(596\) | −3.20516 | − | 11.9618i | −0.131288 | − | 0.489975i | ||||
\(597\) | 16.4064 | − | 2.41531i | 0.671468 | − | 0.0988519i | ||||
\(598\) | −1.37499 | + | 0.891029i | −0.0562274 | + | 0.0364369i | ||||
\(599\) | 20.6846i | 0.845148i | 0.906328 | + | 0.422574i | \(0.138873\pi\) | ||||
−0.906328 | + | 0.422574i | \(0.861127\pi\) | |||||||
\(600\) | −3.10712 | − | 7.18881i | −0.126848 | − | 0.293482i | ||||
\(601\) | 14.7216 | − | 25.4985i | 0.600506 | − | 1.04011i | −0.392238 | − | 0.919864i | \(-0.628299\pi\) |
0.992744 | − | 0.120243i | \(-0.0383675\pi\) | |||||||
\(602\) | −0.438454 | − | 0.759424i | −0.0178700 | − | 0.0309518i | ||||
\(603\) | 13.8826 | − | 25.8363i | 0.565342 | − | 1.05213i | ||||
\(604\) | −8.93677 | − | 2.39460i | −0.363632 | − | 0.0974349i | ||||
\(605\) | −6.73934 | − | 1.80580i | −0.273993 | − | 0.0734162i | ||||
\(606\) | 13.6898 | − | 18.4165i | 0.556112 | − | 0.748117i | ||||
\(607\) | −18.5803 | − | 32.1820i | −0.754151 | − | 1.30623i | −0.945795 | − | 0.324763i | \(-0.894716\pi\) |
0.191645 | − | 0.981464i | \(-0.438618\pi\) | |||||||
\(608\) | −0.339715 | + | 0.588403i | −0.0137773 | + | 0.0238629i | ||||
\(609\) | −7.55103 | + | 3.26368i | −0.305983 | + | 0.132251i | ||||
\(610\) | − | 9.52615i | − | 0.385703i | ||||||
\(611\) | −37.3310 | + | 1.92006i | −1.51025 | + | 0.0776774i | ||||
\(612\) | −1.99756 | − | 6.63734i | −0.0807466 | − | 0.268299i | ||||
\(613\) | 4.52043 | + | 16.8705i | 0.182579 | + | 0.681393i | 0.995136 | + | 0.0985114i | \(0.0314081\pi\) |
−0.812557 | + | 0.582881i | \(0.801925\pi\) | |||||||
\(614\) | −14.8468 | − | 8.57182i | −0.599169 | − | 0.345931i | ||||
\(615\) | 7.04933 | + | 8.90208i | 0.284256 | + | 0.358967i | ||||
\(616\) | 0.675726 | − | 0.675726i | 0.0272258 | − | 0.0272258i | ||||
\(617\) | 2.26152 | − | 8.44012i | 0.0910455 | − | 0.339786i | −0.905345 | − | 0.424677i | \(-0.860388\pi\) |
0.996390 | + | 0.0848911i | \(0.0270542\pi\) | |||||||
\(618\) | −2.90686 | + | 25.0268i | −0.116931 | + | 1.00673i | ||||
\(619\) | 27.9324 | + | 27.9324i | 1.12270 | + | 1.12270i | 0.991334 | + | 0.131363i | \(0.0419352\pi\) |
0.131363 | + | 0.991334i | \(0.458065\pi\) | |||||||
\(620\) | −1.07952 | + | 0.623263i | −0.0433547 | + | 0.0250308i | ||||
\(621\) | −2.35272 | − | 0.200691i | −0.0944112 | − | 0.00805344i | ||||
\(622\) | 15.5941 | − | 4.17842i | 0.625266 | − | 0.167539i | ||||
\(623\) | −3.01696 | −0.120872 | ||||||||
\(624\) | 6.23212 | + | 0.400925i | 0.249484 | + | 0.0160499i | ||||
\(625\) | −18.0521 | −0.722084 | ||||||||
\(626\) | 4.78700 | − | 1.28267i | 0.191327 | − | 0.0512659i | ||||
\(627\) | 0.414446 | − | 1.04543i | 0.0165514 | − | 0.0417504i | ||||
\(628\) | −0.298424 | + | 0.172295i | −0.0119084 | + | 0.00687532i | ||||
\(629\) | −2.82580 | − | 2.82580i | −0.112672 | − | 0.112672i | ||||
\(630\) | −2.07415 | + | 0.0633558i | −0.0826359 | + | 0.00252415i | ||||
\(631\) | 0.387029 | − | 1.44441i | 0.0154074 | − | 0.0575011i | −0.957794 | − | 0.287455i | \(-0.907191\pi\) |
0.973202 | + | 0.229954i | \(0.0738575\pi\) | |||||||
\(632\) | −2.24950 | + | 2.24950i | −0.0894802 | + | 0.0894802i | ||||
\(633\) | −29.0653 | + | 23.0160i | −1.15524 | + | 0.914806i | ||||
\(634\) | 2.46245 | + | 1.42170i | 0.0977963 | + | 0.0564627i | ||||
\(635\) | 1.52400 | + | 5.68766i | 0.0604782 | + | 0.225708i | ||||
\(636\) | 2.53258 | + | 17.2030i | 0.100423 | + | 0.682142i | ||||
\(637\) | −1.11084 | − | 3.43016i | −0.0440132 | − | 0.135908i | ||||
\(638\) | − | 4.53860i | − | 0.179685i | ||||||
\(639\) | 9.38056 | − | 5.80477i | 0.371089 | − | 0.229633i | ||||
\(640\) | −0.345852 | + | 0.599034i | −0.0136710 | + | 0.0236789i | ||||
\(641\) | −3.68067 | − | 6.37511i | −0.145378 | − | 0.251802i | 0.784136 | − | 0.620589i | \(-0.213106\pi\) |
−0.929514 | + | 0.368787i | \(0.879773\pi\) | |||||||
\(642\) | −2.63970 | − | 1.96222i | −0.104181 | − | 0.0774425i | ||||
\(643\) | −9.91929 | − | 2.65787i | −0.391179 | − | 0.104816i | 0.0578682 | − | 0.998324i | \(-0.481570\pi\) |
−0.449047 | + | 0.893508i | \(0.648236\pi\) | |||||||
\(644\) | 0.438941 | + | 0.117614i | 0.0172967 | + | 0.00463463i | ||||
\(645\) | −0.843159 | − | 0.626761i | −0.0331994 | − | 0.0246787i | ||||
\(646\) | 0.784902 | + | 1.35949i | 0.0308816 | + | 0.0534884i | ||||
\(647\) | 3.54406 | − | 6.13848i | 0.139331 | − | 0.241329i | −0.787912 | − | 0.615787i | \(-0.788838\pi\) |
0.927244 | + | 0.374459i | \(0.122171\pi\) | |||||||
\(648\) | 6.74051 | + | 5.96368i | 0.264792 | + | 0.234275i | ||||
\(649\) | − | 11.2538i | − | 0.441750i | ||||||
\(650\) | 7.41537 | − | 14.5186i | 0.290855 | − | 0.569466i | ||||
\(651\) | −0.454616 | − | 3.08806i | −0.0178178 | − | 0.121031i | ||||
\(652\) | −2.09998 | − | 7.83722i | −0.0822414 | − | 0.306929i | ||||
\(653\) | 17.8645 | + | 10.3141i | 0.699092 | + | 0.403621i | 0.807009 | − | 0.590539i | \(-0.201085\pi\) |
−0.107917 | + | 0.994160i | \(0.534418\pi\) | |||||||
\(654\) | 10.8600 | − | 8.59972i | 0.424658 | − | 0.336276i | ||||
\(655\) | 1.76150 | − | 1.76150i | 0.0688275 | − | 0.0688275i | ||||
\(656\) | −2.45307 | + | 9.15496i | −0.0957761 | + | 0.357441i | ||||
\(657\) | −0.576178 | − | 18.8630i | −0.0224789 | − | 0.735914i | ||||
\(658\) | 7.33090 | + | 7.33090i | 0.285788 | + | 0.285788i | ||||
\(659\) | 40.1163 | − | 23.1612i | 1.56271 | − | 0.902231i | 0.565729 | − | 0.824591i | \(-0.308595\pi\) |
0.996981 | − | 0.0776400i | \(-0.0247385\pi\) | |||||||
\(660\) | 0.421934 | − | 1.06431i | 0.0164237 | − | 0.0414284i | ||||
\(661\) | 14.0298 | − | 3.75929i | 0.545698 | − | 0.146219i | 0.0245703 | − | 0.999698i | \(-0.492178\pi\) |
0.521128 | + | 0.853479i | \(0.325512\pi\) | |||||||
\(662\) | −16.5832 | −0.644525 | ||||||||
\(663\) | 8.00179 | − | 12.0069i | 0.310764 | − | 0.466307i | ||||
\(664\) | −0.674520 | −0.0261765 | ||||||||
\(665\) | 0.453951 | − | 0.121636i | 0.0176035 | − | 0.00471683i | ||||
\(666\) | 5.05077 | + | 1.18934i | 0.195713 | + | 0.0460859i | ||||
\(667\) | 1.86908 | − | 1.07912i | 0.0723712 | − | 0.0417835i | ||||
\(668\) | 13.0885 | + | 13.0885i | 0.506408 | + | 0.506408i | ||||
\(669\) | −4.35190 | + | 37.4680i | −0.168254 | + | 1.44860i | ||||
\(670\) | −1.75027 | + | 6.53210i | −0.0676188 | + | 0.252357i | ||||
\(671\) | −9.30610 | + | 9.30610i | −0.359258 | + | 0.359258i | ||||
\(672\) | −1.07526 | − | 1.35787i | −0.0414791 | − | 0.0523810i | ||||
\(673\) | 15.0031 | + | 8.66207i | 0.578329 | + | 0.333898i | 0.760469 | − | 0.649374i | \(-0.224969\pi\) |
−0.182140 | + | 0.983273i | \(0.558302\pi\) | |||||||
\(674\) | −4.29001 | − | 16.0106i | −0.165245 | − | 0.616703i | ||||
\(675\) | 21.2718 | − | 9.97546i | 0.818751 | − | 0.383956i | ||||
\(676\) | 7.62075 | + | 10.5321i | 0.293106 | + | 0.405079i | ||||
\(677\) | − | 36.1386i | − | 1.38892i | −0.719532 | − | 0.694460i | \(-0.755643\pi\) | ||
0.719532 | − | 0.694460i | \(-0.244357\pi\) | |||||||
\(678\) | 21.5829 | − | 9.32847i | 0.828885 | − | 0.358258i | ||||
\(679\) | −6.03935 | + | 10.4605i | −0.231769 | + | 0.401435i | ||||
\(680\) | 0.799082 | + | 1.38405i | 0.0306434 | + | 0.0530759i | ||||
\(681\) | 23.2506 | − | 31.2782i | 0.890964 | − | 1.19858i | ||||
\(682\) | 1.66345 | + | 0.445721i | 0.0636969 | + | 0.0170675i | ||||
\(683\) | −9.12410 | − | 2.44479i | −0.349124 | − | 0.0935475i | 0.0799956 | − | 0.996795i | \(-0.474509\pi\) |
−0.429119 | + | 0.903248i | \(0.641176\pi\) | |||||||
\(684\) | −1.79550 | − | 0.964775i | −0.0686528 | − | 0.0368891i | ||||
\(685\) | −1.47879 | − | 2.56134i | −0.0565016 | − | 0.0978637i | ||||
\(686\) | −0.500000 | + | 0.866025i | −0.0190901 | + | 0.0330650i | ||||
\(687\) | 9.15056 | + | 21.1713i | 0.349116 | + | 0.807734i | ||||
\(688\) | − | 0.876907i | − | 0.0334318i | ||||||
\(689\) | −24.2465 | + | 26.8759i | −0.923720 | + | 1.02389i | ||||
\(690\) | 0.538626 | − | 0.0792952i | 0.0205051 | − | 0.00301872i | ||||
\(691\) | −8.04837 | − | 30.0369i | −0.306174 | − | 1.14266i | −0.931930 | − | 0.362639i | \(-0.881876\pi\) |
0.625756 | − | 0.780019i | \(-0.284791\pi\) | |||||||
\(692\) | −9.43336 | − | 5.44635i | −0.358603 | − | 0.207039i | ||||
\(693\) | 2.08813 | + | 1.96434i | 0.0793214 | + | 0.0746192i | ||||
\(694\) | 10.3759 | − | 10.3759i | 0.393864 | − | 0.393864i | ||||
\(695\) | 3.14821 | − | 11.7493i | 0.119418 | − | 0.445676i | ||||
\(696\) | −8.17122 | − | 0.949086i | −0.309729 | − | 0.0359750i | ||||
\(697\) | 15.4846 | + | 15.4846i | 0.586519 | + | 0.586519i | ||||
\(698\) | −12.0785 | + | 6.97352i | −0.457178 | + | 0.263952i | ||||
\(699\) | 9.96892 | + | 3.95205i | 0.377059 | + | 0.149480i | ||||
\(700\) | −4.36748 | + | 1.17026i | −0.165075 | + | 0.0442317i | ||||
\(701\) | −46.7837 | −1.76700 | −0.883498 | − | 0.468434i | \(-0.844818\pi\) | ||||
−0.883498 | + | 0.468434i | \(0.844818\pi\) | |||||||
\(702\) | −0.631393 | + | 18.7244i | −0.0238304 | + | 0.706705i | ||||
\(703\) | −1.17517 | −0.0443223 | ||||||||
\(704\) | 0.923060 | − | 0.247333i | 0.0347891 | − | 0.00932172i | ||||
\(705\) | 11.5467 | + | 4.57752i | 0.434872 | + | 0.172399i | ||||
\(706\) | 8.54166 | − | 4.93153i | 0.321470 | − | 0.185601i | ||||
\(707\) | −9.36819 | − | 9.36819i | −0.352327 | − | 0.352327i | ||||
\(708\) | −20.2612 | − | 2.35333i | −0.761461 | − | 0.0884435i | ||||
\(709\) | −4.08957 | + | 15.2625i | −0.153587 | + | 0.573194i | 0.845635 | + | 0.533761i | \(0.179222\pi\) |
−0.999222 | + | 0.0394332i | \(0.987445\pi\) | |||||||
\(710\) | −1.79851 | + | 1.79851i | −0.0674968 | + | 0.0674968i | ||||
\(711\) | −6.95139 | − | 6.53931i | −0.260697 | − | 0.245243i | ||||
\(712\) | −2.61277 | − | 1.50848i | −0.0979176 | − | 0.0565328i | ||||
\(713\) | 0.211953 | + | 0.791018i | 0.00793769 | + | 0.0296239i | ||||
\(714\) | −3.95918 | + | 0.582861i | −0.148169 | + | 0.0218130i | ||||
\(715\) | 2.26736 | − | 0.734276i | 0.0847946 | − | 0.0274604i | ||||
\(716\) | 2.22127i | 0.0830127i | ||||||||
\(717\) | 10.1463 | + | 23.4751i | 0.378921 | + | 0.876694i | ||||
\(718\) | −18.2223 | + | 31.5619i | −0.680050 | + | 1.17788i | ||||
\(719\) | 21.5484 | + | 37.3229i | 0.803619 | + | 1.39191i | 0.917219 | + | 0.398383i | \(0.130429\pi\) |
−0.113600 | + | 0.993527i | \(0.536238\pi\) | |||||||
\(720\) | −1.82794 | − | 0.982205i | −0.0681233 | − | 0.0366046i | ||||
\(721\) | 14.0507 | + | 3.76488i | 0.523276 | + | 0.140211i | ||||
\(722\) | −17.9067 | − | 4.79808i | −0.666418 | − | 0.178566i | ||||
\(723\) | 12.5723 | − | 16.9131i | 0.467569 | − | 0.629004i | ||||
\(724\) | 3.25624 | + | 5.63998i | 0.121017 | + | 0.209608i | ||||
\(725\) | −10.7372 | + | 18.5975i | −0.398771 | + | 0.690692i | ||||
\(726\) | 16.0370 | − | 6.93145i | 0.595188 | − | 0.257250i | ||||
\(727\) | − | 12.7998i | − | 0.474720i | −0.971422 | − | 0.237360i | \(-0.923718\pi\) | ||
0.971422 | − | 0.237360i | \(-0.0762821\pi\) | |||||||
\(728\) | 0.753063 | − | 3.52603i | 0.0279104 | − | 0.130683i | ||||
\(729\) | −17.2653 | + | 20.7584i | −0.639456 | + | 0.768828i | ||||
\(730\) | 1.12618 | + | 4.20296i | 0.0416818 | + | 0.155559i | ||||
\(731\) | −1.75463 | − | 1.01303i | −0.0648973 | − | 0.0374685i | ||||
\(732\) | 14.8085 | + | 18.7006i | 0.547338 | + | 0.691193i | ||||
\(733\) | 22.4620 | − | 22.4620i | 0.829652 | − | 0.829652i | −0.157817 | − | 0.987468i | \(-0.550445\pi\) |
0.987468 | + | 0.157817i | \(0.0504455\pi\) | |||||||
\(734\) | −6.32943 | + | 23.6217i | −0.233623 | + | 0.871894i | ||||
\(735\) | −0.138226 | + | 1.19007i | −0.00509854 | + | 0.0438963i | ||||
\(736\) | 0.321327 | + | 0.321327i | 0.0118443 | + | 0.0118443i | ||||
\(737\) | 8.09105 | − | 4.67137i | 0.298038 | − | 0.172072i | ||||
\(738\) | −27.6768 | − | 6.51723i | −1.01880 | − | 0.239902i | ||||
\(739\) | 14.0152 | − | 3.75536i | 0.515558 | − | 0.138143i | 0.00834668 | − | 0.999965i | \(-0.497343\pi\) |
0.507211 | + | 0.861822i | \(0.330676\pi\) | |||||||
\(740\) | −1.19640 | −0.0439805 | ||||||||
\(741\) | −0.832795 | − | 4.16051i | −0.0305935 | − | 0.152840i | ||||
\(742\) | 10.0392 | 0.368551 | ||||||||
\(743\) | 21.7841 | − | 5.83703i | 0.799180 | − | 0.214140i | 0.163956 | − | 0.986468i | \(-0.447574\pi\) |
0.635224 | + | 0.772328i | \(0.280908\pi\) | |||||||
\(744\) | 1.15032 | − | 2.90164i | 0.0421728 | − | 0.106379i | ||||
\(745\) | −7.41830 | + | 4.28296i | −0.271785 | + | 0.156915i | ||||
\(746\) | 24.2458 | + | 24.2458i | 0.887703 | + | 0.887703i | ||||
\(747\) | −0.0617818 | − | 2.02262i | −0.00226048 | − | 0.0740037i | ||||
\(748\) | 0.571456 | − | 2.13270i | 0.0208945 | − | 0.0779794i | ||||
\(749\) | −1.34278 | + | 1.34278i | −0.0490640 | + | 0.0490640i | ||||
\(750\) | −8.94306 | + | 7.08178i | −0.326554 | + | 0.258590i | ||||
\(751\) | 35.4118 | + | 20.4450i | 1.29220 | + | 0.746049i | 0.979043 | − | 0.203654i | \(-0.0652817\pi\) |
0.313152 | + | 0.949703i | \(0.398615\pi\) | |||||||
\(752\) | 2.68329 | + | 10.0142i | 0.0978497 | + | 0.365180i | ||||
\(753\) | 1.77303 | + | 12.0436i | 0.0646130 | + | 0.438894i | ||||
\(754\) | −9.31249 | − | 14.3705i | −0.339141 | − | 0.523344i | ||||
\(755\) | 6.39967i | 0.232908i | ||||||||
\(756\) | 3.97322 | − | 3.34866i | 0.144505 | − | 0.121789i | ||||
\(757\) | 23.2232 | − | 40.2237i | 0.844061 | − | 1.46196i | −0.0423740 | − | 0.999102i | \(-0.513492\pi\) |
0.886435 | − | 0.462854i | \(-0.153175\pi\) | |||||||
\(758\) | 5.90497 | + | 10.2277i | 0.214478 | + | 0.371487i | ||||
\(759\) | −0.603647 | − | 0.448720i | −0.0219110 | − | 0.0162875i | ||||
\(760\) | 0.453951 | + | 0.121636i | 0.0164665 | + | 0.00441219i | ||||
\(761\) | −18.6904 | − | 5.00807i | −0.677526 | − | 0.181543i | −0.0963833 | − | 0.995344i | \(-0.530727\pi\) |
−0.581143 | + | 0.813802i | \(0.697394\pi\) | |||||||
\(762\) | −11.8333 | − | 8.79624i | −0.428674 | − | 0.318654i | ||||
\(763\) | −3.99889 | − | 6.92629i | −0.144770 | − | 0.250748i | ||||
\(764\) | −0.340756 | + | 0.590207i | −0.0123281 | + | 0.0213529i | ||||
\(765\) | −4.07703 | + | 2.52290i | −0.147405 | + | 0.0912156i | ||||
\(766\) | 20.5721i | 0.743300i | ||||||||
\(767\) | −23.0910 | − | 35.6328i | −0.833769 | − | 1.28663i | ||||
\(768\) | −0.252269 | − | 1.71358i | −0.00910299 | − | 0.0618335i | ||||
\(769\) | 11.2085 | + | 41.8307i | 0.404189 | + | 1.50846i | 0.805546 | + | 0.592533i | \(0.201872\pi\) |
−0.401357 | + | 0.915922i | \(0.631461\pi\) | |||||||
\(770\) | −0.572449 | − | 0.330504i | −0.0206296 | − | 0.0119105i | ||||
\(771\) | −4.48585 | + | 3.55223i | −0.161554 | + | 0.127930i | ||||
\(772\) | 9.24318 | − | 9.24318i | 0.332669 | − | 0.332669i | ||||
\(773\) | 8.99619 | − | 33.5742i | 0.323571 | − | 1.20758i | −0.592171 | − | 0.805813i | \(-0.701729\pi\) |
0.915741 | − | 0.401769i | \(-0.131604\pi\) | |||||||
\(774\) | 2.62949 | − | 0.0803192i | 0.0945152 | − | 0.00288701i | ||||
\(775\) | −5.76173 | − | 5.76173i | −0.206967 | − | 0.206967i | ||||
\(776\) | −10.4605 | + | 6.03935i | −0.375508 | + | 0.216800i | ||||
\(777\) | 1.10406 | − | 2.78496i | 0.0396079 | − | 0.0999098i | ||||
\(778\) | 1.91330 | − | 0.512667i | 0.0685951 | − | 0.0183800i | ||||
\(779\) | 6.43958 | 0.230722 | ||||||||
\(780\) | −0.847840 | − | 4.23567i | −0.0303575 | − | 0.151661i | ||||
\(781\) | 3.51393 | 0.125738 | ||||||||
\(782\) | 1.01416 | − | 0.271743i | 0.0362663 | − | 0.00971753i | ||||
\(783\) | 2.09750 | − | 24.5892i | 0.0749584 | − | 0.878745i | ||||
\(784\) | −0.866025 | + | 0.500000i | −0.0309295 | + | 0.0178571i | ||||
\(785\) | 0.168542 | + | 0.168542i | 0.00601552 | + | 0.00601552i | ||||
\(786\) | −0.719692 | + | 6.19623i | −0.0256706 | + | 0.221012i | ||||
\(787\) | 9.54632 | − | 35.6274i | 0.340290 | − | 1.26998i | −0.557730 | − | 0.830022i | \(-0.688328\pi\) |
0.898020 | − | 0.439955i | \(-0.145006\pi\) | |||||||
\(788\) | 2.53743 | − | 2.53743i | 0.0903922 | − | 0.0903922i | ||||
\(789\) | −10.8898 | − | 13.7520i | −0.387688 | − | 0.489582i | ||||
\(790\) | 1.90569 | + | 1.10025i | 0.0678013 | + | 0.0391451i | ||||
\(791\) | −3.51347 | − | 13.1124i | −0.124924 | − | 0.466224i | ||||
\(792\) | 0.826200 | + | 2.74523i | 0.0293577 | + | 0.0975476i | ||||
\(793\) | −10.3712 | + | 48.5605i | −0.368292 | + | 1.72443i | ||||
\(794\) | − | 34.6486i | − | 1.22963i | ||||||
\(795\) | 11.0405 | − | 4.77189i | 0.391567 | − | 0.169242i | ||||
\(796\) | 4.78716 | − | 8.29160i | 0.169676 | − | 0.293888i | ||||
\(797\) | 11.3862 | + | 19.7214i | 0.403319 | + | 0.698569i | 0.994124 | − | 0.108245i | \(-0.0345232\pi\) |
−0.590805 | + | 0.806814i | \(0.701190\pi\) | |||||||
\(798\) | −0.702057 | + | 0.944452i | −0.0248525 | + | 0.0334332i | ||||
\(799\) | 23.1375 | + | 6.19968i | 0.818547 | + | 0.219329i | ||||
\(800\) | −4.36748 | − | 1.17026i | −0.154414 | − | 0.0413750i | ||||
\(801\) | 4.28402 | − | 7.97282i | 0.151369 | − | 0.281706i | ||||
\(802\) | 13.3860 | + | 23.1853i | 0.472677 | + | 0.818700i | ||||
\(803\) | 3.00571 | − | 5.20604i | 0.106069 | − | 0.183717i | ||||
\(804\) | −6.71830 | − | 15.5438i | −0.236936 | − | 0.548189i | ||||
\(805\) | − | 0.314328i | − | 0.0110786i | ||||||
\(806\) | 6.18153 | − | 2.00186i | 0.217735 | − | 0.0705125i | ||||
\(807\) | 5.68495 | − | 0.836925i | 0.200120 | − | 0.0294611i | ||||
\(808\) | −3.42899 | − | 12.7972i | −0.120632 | − | 0.450203i | ||||
\(809\) | 40.1870 | + | 23.2020i | 1.41290 | + | 0.815739i | 0.995661 | − | 0.0930572i | \(-0.0296640\pi\) |
0.417240 | + | 0.908796i | \(0.362997\pi\) | |||||||
\(810\) | 2.77781 | − | 5.57123i | 0.0976024 | − | 0.195753i | ||||
\(811\) | 2.87161 | − | 2.87161i | 0.100836 | − | 0.100836i | −0.654889 | − | 0.755725i | \(-0.727285\pi\) |
0.755725 | + | 0.654889i | \(0.227285\pi\) | |||||||
\(812\) | −1.22923 | + | 4.58754i | −0.0431374 | + | 0.160991i | ||||
\(813\) | 19.3298 | + | 2.24515i | 0.677925 | + | 0.0787409i | ||||
\(814\) | 1.16876 | + | 1.16876i | 0.0409651 | + | 0.0409651i | ||||
\(815\) | −4.86037 | + | 2.80614i | −0.170251 | + | 0.0982946i | ||||
\(816\) | −3.72018 | − | 1.47482i | −0.130232 | − | 0.0516290i | ||||
\(817\) | −0.575495 | + | 0.154204i | −0.0201340 | + | 0.00539490i | ||||
\(818\) | −15.7999 | −0.552429 | ||||||||
\(819\) | 10.6421 | + | 1.93517i | 0.371866 | + | 0.0676205i | ||||
\(820\) | 6.55592 | 0.228942 | ||||||||
\(821\) | −51.3684 | + | 13.7641i | −1.79277 | + | 0.480371i | −0.992812 | − | 0.119684i | \(-0.961812\pi\) |
−0.799959 | + | 0.600055i | \(0.795145\pi\) | |||||||
\(822\) | 6.88461 | + | 2.72931i | 0.240128 | + | 0.0951957i | ||||
\(823\) | −37.6529 | + | 21.7389i | −1.31250 | + | 0.757770i | −0.982509 | − | 0.186215i | \(-0.940378\pi\) |
−0.329988 | + | 0.943985i | \(0.607045\pi\) | |||||||
\(824\) | 10.2858 | + | 10.2858i | 0.358324 | + | 0.358324i | ||||
\(825\) | 7.43402 | + | 0.863460i | 0.258819 | + | 0.0300618i | ||||
\(826\) | −3.04796 | + | 11.3752i | −0.106052 | + | 0.395792i | ||||
\(827\) | 32.1295 | − | 32.1295i | 1.11725 | − | 1.11725i | 0.125110 | − | 0.992143i | \(-0.460072\pi\) |
0.992143 | − | 0.125110i | \(-0.0399283\pi\) | |||||||
\(828\) | −0.934099 | + | 0.992963i | −0.0324622 | + | 0.0345078i | ||||
\(829\) | −4.15563 | − | 2.39926i | −0.144331 | − | 0.0833296i | 0.426095 | − | 0.904678i | \(-0.359889\pi\) |
−0.570427 | + | 0.821349i | \(0.693222\pi\) | |||||||
\(830\) | 0.120757 | + | 0.450670i | 0.00419153 | + | 0.0156430i | ||||
\(831\) | 49.4530 | − | 7.28035i | 1.71550 | − | 0.252552i | ||||
\(832\) | 2.41519 | − | 2.67710i | 0.0837316 | − | 0.0928118i | ||||
\(833\) | 2.31047i | 0.0800531i | ||||||||
\(834\) | 12.0842 | + | 27.9587i | 0.418442 | + | 0.968130i | ||||
\(835\) | 6.40168 | − | 11.0880i | 0.221539 | − | 0.383717i | ||||
\(836\) | −0.324639 | − | 0.562291i | −0.0112279 | − | 0.0194472i | ||||
\(837\) | 8.80624 | + | 3.18358i | 0.304388 | + | 0.110041i | ||||
\(838\) | 1.59579 | + | 0.427591i | 0.0551257 | + | 0.0147709i | ||||
\(839\) | 24.4967 | + | 6.56388i | 0.845721 | + | 0.226610i | 0.655560 | − | 0.755143i | \(-0.272433\pi\) |
0.190160 | + | 0.981753i | \(0.439099\pi\) | |||||||
\(840\) | −0.714740 | + | 0.961515i | −0.0246609 | + | 0.0331754i | ||||
\(841\) | −3.22174 | − | 5.58022i | −0.111094 | − | 0.192421i | ||||
\(842\) | 3.57287 | − | 6.18839i | 0.123129 | − | 0.213266i | ||||
\(843\) | 31.6629 | − | 13.6852i | 1.09053 | − | 0.471345i | ||||
\(844\) | 21.4051i | 0.736792i | ||||||||
\(845\) | 5.67252 | − | 6.97721i | 0.195141 | − | 0.240023i | ||||
\(846\) | −29.7828 | + | 8.96337i | −1.02395 | + | 0.308167i | ||||
\(847\) | −2.61065 | − | 9.74309i | −0.0897031 | − | 0.334776i | ||||
\(848\) | 8.69420 | + | 5.01960i | 0.298560 | + | 0.172374i | ||||
\(849\) | −0.505751 | − | 0.638675i | −0.0173573 | − | 0.0219193i | ||||
\(850\) | −7.38708 | + | 7.38708i | −0.253375 | + | 0.253375i | ||||
\(851\) | −0.203429 | + | 0.759208i | −0.00697346 | + | 0.0260253i | ||||
\(852\) | 0.734812 | − | 6.32641i | 0.0251742 | − | 0.216739i | ||||
\(853\) | −21.0210 | − | 21.0210i | −0.719744 | − | 0.719744i | 0.248809 | − | 0.968553i | \(-0.419961\pi\) |
−0.968553 | + | 0.248809i | \(0.919961\pi\) | |||||||
\(854\) | 11.9269 | − | 6.88600i | 0.408130 | − | 0.235634i | ||||
\(855\) | −0.323158 | + | 1.37236i | −0.0110518 | + | 0.0469337i | ||||
\(856\) | −1.83427 | + | 0.491490i | −0.0626940 | + | 0.0167988i | ||||
\(857\) | 21.7425 | 0.742709 | 0.371354 | − | 0.928491i | \(-0.378893\pi\) | ||||
0.371354 | + | 0.928491i | \(0.378893\pi\) | |||||||
\(858\) | −3.30957 | + | 4.96609i | −0.112987 | + | 0.169539i | ||||
\(859\) | 16.4693 | 0.561924 | 0.280962 | − | 0.959719i | \(-0.409346\pi\) | ||||
0.280962 | + | 0.959719i | \(0.409346\pi\) | |||||||
\(860\) | −0.585892 | + | 0.156989i | −0.0199788 | + | 0.00535329i | ||||
\(861\) | −6.04993 | + | 15.2608i | −0.206181 | + | 0.520086i | ||||
\(862\) | 7.71348 | − | 4.45338i | 0.262722 | − | 0.151683i | ||||
\(863\) | −1.78788 | − | 1.78788i | −0.0608601 | − | 0.0608601i | 0.676022 | − | 0.736882i | \(-0.263703\pi\) |
−0.736882 | + | 0.676022i | \(0.763703\pi\) | |||||||
\(864\) | 5.11524 | − | 0.913408i | 0.174024 | − | 0.0310748i | ||||
\(865\) | −1.95008 | + | 7.27780i | −0.0663047 | + | 0.247453i | ||||
\(866\) | −9.15428 | + | 9.15428i | −0.311075 | + | 0.311075i | ||||
\(867\) | 15.8351 | − | 12.5394i | 0.537788 | − | 0.425860i | ||||
\(868\) | −1.56067 | − | 0.901054i | −0.0529726 | − | 0.0305838i | ||||
\(869\) | −0.786833 | − | 2.93650i | −0.0266915 | − | 0.0996140i | ||||
\(870\) | 0.828745 | + | 5.62939i | 0.0280971 | + | 0.190854i | ||||
\(871\) | 16.0337 | − | 31.3925i | 0.543282 | − | 1.06369i | ||||
\(872\) | − | 7.99779i | − | 0.270839i | ||||||
\(873\) | −19.0677 | − | 30.8136i | −0.645344 | − | 1.04288i | ||||
\(874\) | 0.154375 | − | 0.267385i | 0.00522181 | − | 0.00904443i | ||||
\(875\) | 3.29305 | + | 5.70372i | 0.111325 | + | 0.192821i | ||||
\(876\) | −8.74433 | − | 6.50008i | −0.295444 | − | 0.219618i | ||||
\(877\) | 36.5170 | + | 9.78470i | 1.23309 | + | 0.330406i | 0.815782 | − | 0.578359i | \(-0.196307\pi\) |
0.417309 | + | 0.908765i | \(0.362973\pi\) | |||||||
\(878\) | −39.5824 | − | 10.6061i | −1.33584 | − | 0.357938i | ||||
\(879\) | 30.0948 | + | 22.3710i | 1.01507 | + | 0.754554i | ||||
\(880\) | −0.330504 | − | 0.572449i | −0.0111413 | − | 0.0192973i | ||||
\(881\) | −22.7343 | + | 39.3770i | −0.765938 | + | 1.32664i | 0.173811 | + | 0.984779i | \(0.444392\pi\) |
−0.939749 | + | 0.341865i | \(0.888942\pi\) | |||||||
\(882\) | −1.57862 | − | 2.55107i | −0.0531550 | − | 0.0858989i | ||||
\(883\) | 18.6998i | 0.629298i | 0.949208 | + | 0.314649i | \(0.101887\pi\) | ||||
−0.949208 | + | 0.314649i | \(0.898113\pi\) | |||||||
\(884\) | −2.56657 | − | 7.92530i | −0.0863232 | − | 0.266557i | ||||
\(885\) | 2.05494 | + | 13.9585i | 0.0690759 | + | 0.469210i | ||||
\(886\) | −9.74811 | − | 36.3804i | −0.327494 | − | 1.22222i | ||||
\(887\) | 4.77023 | + | 2.75409i | 0.160169 | + | 0.0924734i | 0.577942 | − | 0.816078i | \(-0.303856\pi\) |
−0.417773 | + | 0.908551i | \(0.637189\pi\) | |||||||
\(888\) | 2.34862 | − | 1.85981i | 0.0788146 | − | 0.0624113i | ||||
\(889\) | −6.01942 | + | 6.01942i | −0.201885 | + | 0.201885i | ||||
\(890\) | −0.540116 | + | 2.01574i | −0.0181047 | + | 0.0675678i | ||||
\(891\) | −8.15619 | + | 2.72889i | −0.273243 | + | 0.0914213i | ||||
\(892\) | 15.3991 | + | 15.3991i | 0.515599 | + | 0.515599i | ||||
\(893\) | 6.10024 | − | 3.52198i | 0.204137 | − | 0.117858i | ||||
\(894\) | 7.90480 | − | 19.9396i | 0.264376 | − | 0.666880i | ||||
\(895\) | 1.48411 | − | 0.397666i | 0.0496083 | − | 0.0132925i | ||||
\(896\) | −1.00000 | −0.0334077 | ||||||||
\(897\) | −2.83203 | − | 0.182190i | −0.0945586 | − | 0.00608316i | ||||
\(898\) | 25.7632 | 0.859731 | ||||||||
\(899\) | −8.26724 | + | 2.21520i | −0.275728 | + | 0.0738811i | ||||
\(900\) | 3.10912 | − | 13.2035i | 0.103637 | − | 0.440117i | ||||
\(901\) | 20.0877 | − | 11.5976i | 0.669219 | − | 0.386374i | ||||
\(902\) | −6.40448 | − | 6.40448i | −0.213246 | − | 0.213246i | ||||
\(903\) | 0.175236 | − | 1.50870i | 0.00583148 | − | 0.0502066i | ||||
\(904\) | 3.51347 | − | 13.1124i | 0.116856 | − | 0.436113i | ||||
\(905\) | 3.18532 | − | 3.18532i | 0.105883 | − | 0.105883i | ||||
\(906\) | −9.94836 | − | 12.5631i | −0.330512 | − | 0.417379i | ||||
\(907\) | −21.9185 | − | 12.6546i | −0.727791 | − | 0.420190i | 0.0898227 | − | 0.995958i | \(-0.471370\pi\) |
−0.817613 | + | 0.575768i | \(0.804703\pi\) | |||||||
\(908\) | −5.82374 | − | 21.7345i | −0.193268 | − | 0.721284i | ||||
\(909\) | 38.0596 | − | 11.4543i | 1.26236 | − | 0.379916i | ||||
\(910\) | −2.49068 | + | 0.128104i | −0.0825653 | + | 0.00424661i | ||||
\(911\) | 29.1233i | 0.964898i | 0.875924 | + | 0.482449i | \(0.160253\pi\) | ||||
−0.875924 | + | 0.482449i | \(0.839747\pi\) | |||||||
\(912\) | −1.08023 | + | 0.466891i | −0.0357698 | + | 0.0154603i | ||||
\(913\) | 0.322293 | − | 0.558228i | 0.0106663 | − | 0.0184746i | ||||
\(914\) | 6.82149 | + | 11.8152i | 0.225635 | + | 0.390811i | ||||
\(915\) | 9.84340 | − | 13.2420i | 0.325413 | − | 0.437766i | ||||
\(916\) | 12.8624 | + | 3.44646i | 0.424984 | + | 0.113874i | ||||
\(917\) | 3.47873 | + | 0.932123i | 0.114878 | + | 0.0307814i | ||||
\(918\) | 4.08165 | − | 11.2904i | 0.134714 | − | 0.372640i | ||||
\(919\) | 14.1865 | + | 24.5718i | 0.467970 | + | 0.810547i | 0.999330 | − | 0.0365986i | \(-0.0116523\pi\) |
−0.531360 | + | 0.847146i | \(0.678319\pi\) | |||||||
\(920\) | 0.157164 | − | 0.272216i | 0.00518154 | − | 0.00897468i | ||||
\(921\) | −11.7808 | − | 27.2567i | −0.388190 | − | 0.898138i | ||||
\(922\) | − | 12.8500i | − | 0.423191i | ||||||
\(923\) | 11.1261 | − | 7.21002i | 0.366221 | − | 0.237321i | ||||
\(924\) | 1.63754 | − | 0.241074i | 0.0538709 | − | 0.00793075i | ||||
\(925\) | −2.02413 | − | 7.55415i | −0.0665530 | − | 0.248379i | ||||
\(926\) | 3.20075 | + | 1.84796i | 0.105183 | + | 0.0607276i | ||||
\(927\) | −29.9010 | + | 31.7853i | −0.982078 | + | 1.04396i | ||||
\(928\) | −3.35831 | + | 3.35831i | −0.110242 | + | 0.110242i | ||||
\(929\) | 3.79036 | − | 14.1458i | 0.124358 | − | 0.464109i | −0.875458 | − | 0.483294i | \(-0.839440\pi\) |
0.999816 | + | 0.0191845i | \(0.00610700\pi\) | |||||||
\(930\) | −2.14463 | − | 0.249098i | −0.0703251 | − | 0.00816825i | ||||
\(931\) | 0.480429 | + | 0.480429i | 0.0157454 | + | 0.0157454i | ||||
\(932\) | 5.36186 | − | 3.09567i | 0.175633 | − | 0.101402i | ||||
\(933\) | 25.9944 | + | 10.3051i | 0.851018 | + | 0.337375i | ||||
\(934\) | 25.5898 | − | 6.85676i | 0.837324 | − | 0.224360i | ||||
\(935\) | −1.52724 | −0.0499461 | ||||||||
\(936\) | 8.24877 | + | 6.99698i | 0.269620 | + | 0.228703i | ||||
\(937\) | 6.65662 | 0.217462 | 0.108731 | − | 0.994071i | \(-0.465321\pi\) | ||||
0.108731 | + | 0.994071i | \(0.465321\pi\) | |||||||
\(938\) | −9.44348 | + | 2.53037i | −0.308341 | + | 0.0826196i | ||||
\(939\) | 7.97963 | + | 3.16342i | 0.260405 | + | 0.103234i | ||||
\(940\) | 6.21045 | − | 3.58561i | 0.202563 | − | 0.116950i | ||||
\(941\) | 34.5361 | + | 34.5361i | 1.12585 | + | 1.12585i | 0.990845 | + | 0.135001i | \(0.0431037\pi\) |
0.135001 | + | 0.990845i | \(0.456896\pi\) | |||||||
\(942\) | −0.592862 | − | 0.0688608i | −0.0193165 | − | 0.00224361i | ||||
\(943\) | 1.11473 | − | 4.16024i | 0.0363007 | − | 0.135476i | ||||
\(944\) | −8.32719 | + | 8.32719i | −0.271027 | + | 0.271027i | ||||
\(945\) | −2.94867 | − | 2.05515i | −0.0959201 | − | 0.0668541i | ||||
\(946\) | 0.725722 | + | 0.418996i | 0.0235952 | + | 0.0136227i | ||||
\(947\) | −12.6072 | − | 47.0506i | −0.409678 | − | 1.52894i | −0.795261 | − | 0.606267i | \(-0.792666\pi\) |
0.385583 | − | 0.922673i | \(-0.374000\pi\) | |||||||
\(948\) | −5.45137 | + | 0.802537i | −0.177052 | + | 0.0260652i | ||||
\(949\) | −1.16502 | − | 22.6511i | −0.0378182 | − | 0.735286i | ||||
\(950\) | 3.07207i | 0.0996712i | ||||||||
\(951\) | 1.95392 | + | 4.52071i | 0.0633603 | + | 0.146594i | ||||
\(952\) | −1.15524 | + | 2.00093i | −0.0374414 | + | 0.0648505i | ||||
\(953\) | −26.8481 | − | 46.5022i | −0.869694 | − | 1.50635i | −0.862310 | − | 0.506381i | \(-0.830983\pi\) |
−0.00738436 | − | 0.999973i | \(-0.502351\pi\) | |||||||
\(954\) | −14.2554 | + | 26.5302i | −0.461537 | + | 0.858947i | ||||
\(955\) | 0.455342 | + | 0.122009i | 0.0147345 | + | 0.00394811i | ||||
\(956\) | 14.2620 | + | 3.82150i | 0.461267 | + | 0.123596i | ||||
\(957\) | 4.68975 | − | 6.30896i | 0.151598 | − | 0.203940i | ||||
\(958\) | −6.72947 | − | 11.6558i | −0.217419 | − | 0.376582i | ||||
\(959\) | 2.13789 | − | 3.70294i | 0.0690361 | − | 0.119574i | ||||
\(960\) | −1.09974 | + | 0.475326i | −0.0354940 | + | 0.0153411i | ||||
\(961\) | 27.7524i | 0.895239i | ||||||||
\(962\) | 6.09876 | + | 1.30253i | 0.196632 | + | 0.0419951i | ||||
\(963\) | −1.64179 | − | 5.45522i | −0.0529060 | − | 0.175792i | ||||
\(964\) | −3.14908 | − | 11.7525i | −0.101425 | − | 0.378523i | ||||
\(965\) | −7.83046 | − | 4.52092i | −0.252071 | − | 0.145534i | ||||
\(966\) | 0.488626 | + | 0.617050i | 0.0157213 | + | 0.0198532i | ||||
\(967\) | −14.8869 | + | 14.8869i | −0.478729 | + | 0.478729i | −0.904725 | − | 0.425996i | \(-0.859924\pi\) |
0.425996 | + | 0.904725i | \(0.359924\pi\) | |||||||
\(968\) | 2.61065 | − | 9.74309i | 0.0839096 | − | 0.313155i | ||||
\(969\) | −0.313700 | + | 2.70082i | −0.0100775 | + | 0.0867629i | ||||
\(970\) | 5.90779 | + | 5.90779i | 0.189688 | + | 0.189688i | ||||
\(971\) | 43.4280 | − | 25.0732i | 1.39367 | − | 0.804637i | 0.399952 | − | 0.916536i | \(-0.369027\pi\) |
0.993720 | + | 0.111899i | \(0.0356933\pi\) | |||||||
\(972\) | 3.20747 | + | 15.2549i | 0.102880 | + | 0.489301i | ||||
\(973\) | 16.9860 | − | 4.55138i | 0.544546 | − | 0.145911i | ||||
\(974\) | −39.2281 | −1.25695 | ||||||||
\(975\) | 25.3099 | − | 12.5195i | 0.810567 | − | 0.400944i | ||||
\(976\) | 13.7720 | 0.440831 | ||||||||
\(977\) | −31.4033 | + | 8.41450i | −1.00468 | + | 0.269204i | −0.723406 | − | 0.690423i | \(-0.757424\pi\) |
−0.281276 | + | 0.959627i | \(0.590758\pi\) | |||||||
\(978\) | 5.17912 | − | 13.0642i | 0.165610 | − | 0.417746i | ||||
\(979\) | 2.49682 | − | 1.44154i | 0.0797986 | − | 0.0460718i | ||||
\(980\) | 0.489109 | + | 0.489109i | 0.0156240 | + | 0.0156240i | ||||
\(981\) | 23.9822 | − | 0.732547i | 0.765692 | − | 0.0233884i | ||||
\(982\) | −4.52274 | + | 16.8791i | −0.144326 | + | 0.538633i | ||||
\(983\) | −15.5750 | + | 15.5750i | −0.496766 | + | 0.496766i | −0.910430 | − | 0.413664i | \(-0.864249\pi\) |
0.413664 | + | 0.910430i | \(0.364249\pi\) | |||||||
\(984\) | −12.8698 | + | 10.1912i | −0.410274 | + | 0.324885i | ||||
\(985\) | −2.14961 | − | 1.24108i | −0.0684924 | − | 0.0395441i | ||||
\(986\) | 2.84010 | + | 10.5994i | 0.0904471 | + | 0.337553i | ||||
\(987\) | 2.61539 | + | 17.7655i | 0.0832488 | + | 0.565481i | ||||
\(988\) | −2.18163 | − | 1.11427i | −0.0694070 | − | 0.0354496i | ||||
\(989\) | 0.398488i | 0.0126712i | ||||||||
\(990\) | 1.68628 | − | 1.04348i | 0.0535934 | − | 0.0331640i | ||||
\(991\) | −16.1345 | + | 27.9458i | −0.512530 | + | 0.887729i | 0.487364 | + | 0.873199i | \(0.337959\pi\) |
−0.999894 | + | 0.0145299i | \(0.995375\pi\) | |||||||
\(992\) | −0.901054 | − | 1.56067i | −0.0286085 | − | 0.0495514i | ||||
\(993\) | −23.0518 | − | 17.1355i | −0.731526 | − | 0.543779i | ||||
\(994\) | −3.55182 | − | 0.951706i | −0.112657 | − | 0.0301863i | ||||
\(995\) | −6.39694 | − | 1.71405i | −0.202797 | − | 0.0543392i | ||||
\(996\) | −0.937627 | − | 0.696984i | −0.0297099 | − | 0.0220848i | ||||
\(997\) | −22.2803 | − | 38.5906i | −0.705625 | − | 1.22218i | −0.966466 | − | 0.256796i | \(-0.917333\pi\) |
0.260841 | − | 0.965382i | \(-0.416000\pi\) | |||||||
\(998\) | −17.5871 | + | 30.4618i | −0.556710 | + | 0.964251i | ||||
\(999\) | 5.79196 | + | 6.87224i | 0.183250 | + | 0.217428i |
(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 | 546.2.bu.b.71.14 | yes | 56 | |
3.2 | odd | 2 | 546.2.bu.a.71.2 | ✓ | 56 | ||
13.11 | odd | 12 | 546.2.bu.a.323.2 | yes | 56 | ||
39.11 | even | 12 | inner | 546.2.bu.b.323.14 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bu.a.71.2 | ✓ | 56 | 3.2 | odd | 2 | ||
546.2.bu.a.323.2 | yes | 56 | 13.11 | odd | 12 | ||
546.2.bu.b.71.14 | yes | 56 | 1.1 | even | 1 | trivial | |
546.2.bu.b.323.14 | yes | 56 | 39.11 | even | 12 | inner |