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: | \(112\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 49.5 | ||
Character | \(\chi\) | \(=\) | 930.49 |
Dual form | 930.2.bn.a.19.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{13}{15}\right)\) |
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 | ||||
\(5\) | 0.230445 | + | 2.22416i | 0.103058 | + | 0.994675i | ||||
\(6\) | 0.500000 | − | 0.866025i | 0.204124 | − | 0.353553i | ||||
\(7\) | 0.872484 | − | 0.785588i | 0.329768 | − | 0.296924i | −0.487569 | − | 0.873085i | \(-0.662116\pi\) |
0.817337 | + | 0.576160i | \(0.195450\pi\) | |||||||
\(8\) | 0.951057 | − | 0.309017i | 0.336249 | − | 0.109254i | ||||
\(9\) | −0.669131 | + | 0.743145i | −0.223044 | + | 0.247715i | ||||
\(10\) | 1.66393 | − | 1.49376i | 0.526182 | − | 0.472369i | ||||
\(11\) | 5.06877 | − | 1.07740i | 1.52829 | − | 0.324849i | 0.634356 | − | 0.773041i | \(-0.281265\pi\) |
0.893937 | + | 0.448193i | \(0.147932\pi\) | |||||||
\(12\) | −0.994522 | + | 0.104528i | −0.287094 | + | 0.0301748i | ||||
\(13\) | 1.73101 | + | 0.181936i | 0.480095 | + | 0.0504600i | 0.341485 | − | 0.939887i | \(-0.389070\pi\) |
0.138610 | + | 0.990347i | \(0.455737\pi\) | |||||||
\(14\) | −1.14839 | − | 0.244097i | −0.306920 | − | 0.0652378i | ||||
\(15\) | −1.93814 | + | 1.11517i | −0.500426 | + | 0.287936i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | 0.891553 | − | 4.19443i | 0.216233 | − | 1.01730i | −0.727376 | − | 0.686239i | \(-0.759261\pi\) |
0.943610 | − | 0.331060i | \(-0.107406\pi\) | |||||||
\(18\) | 0.994522 | + | 0.104528i | 0.234411 | + | 0.0246376i | ||||
\(19\) | 0.274505 | + | 2.61174i | 0.0629757 | + | 0.599174i | 0.979813 | + | 0.199914i | \(0.0640662\pi\) |
−0.916838 | + | 0.399260i | \(0.869267\pi\) | |||||||
\(20\) | −2.18651 | − | 0.468138i | −0.488920 | − | 0.104679i | ||||
\(21\) | 1.07254 | + | 0.477526i | 0.234048 | + | 0.104205i | ||||
\(22\) | −3.85099 | − | 3.46744i | −0.821033 | − | 0.739261i | ||||
\(23\) | −2.26058 | + | 0.734507i | −0.471363 | + | 0.153155i | −0.535060 | − | 0.844814i | \(-0.679711\pi\) |
0.0636967 | + | 0.997969i | \(0.479711\pi\) | |||||||
\(24\) | 0.669131 | + | 0.743145i | 0.136586 | + | 0.151694i | ||||
\(25\) | −4.89379 | + | 1.02509i | −0.978758 | + | 0.205019i | ||||
\(26\) | −0.870271 | − | 1.50735i | −0.170674 | − | 0.295616i | ||||
\(27\) | −0.951057 | − | 0.309017i | −0.183031 | − | 0.0594703i | ||||
\(28\) | 0.477526 | + | 1.07254i | 0.0902440 | + | 0.202691i | ||||
\(29\) | 0.936414 | − | 0.680345i | 0.173888 | − | 0.126337i | −0.497437 | − | 0.867500i | \(-0.665726\pi\) |
0.671325 | + | 0.741163i | \(0.265726\pi\) | |||||||
\(30\) | 2.04140 | + | 0.912510i | 0.372707 | + | 0.166601i | ||||
\(31\) | 4.04075 | + | 3.83045i | 0.725739 | + | 0.687970i | ||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 3.04591 | + | 4.19234i | 0.530225 | + | 0.729792i | ||||
\(34\) | −3.91741 | + | 1.74414i | −0.671830 | + | 0.299118i | ||||
\(35\) | 1.94833 | + | 1.75951i | 0.329329 | + | 0.297412i | ||||
\(36\) | −0.500000 | − | 0.866025i | −0.0833333 | − | 0.144338i | ||||
\(37\) | 6.06668 | + | 3.50260i | 0.997355 | + | 0.575823i | 0.907465 | − | 0.420128i | \(-0.138015\pi\) |
0.0898906 | + | 0.995952i | \(0.471348\pi\) | |||||||
\(38\) | 1.95159 | − | 1.75722i | 0.316590 | − | 0.285059i | ||||
\(39\) | 0.537857 | + | 1.65535i | 0.0861260 | + | 0.265069i | ||||
\(40\) | 0.906470 | + | 2.04409i | 0.143325 | + | 0.323199i | ||||
\(41\) | 1.25357 | + | 0.558126i | 0.195775 | + | 0.0871647i | 0.502282 | − | 0.864704i | \(-0.332494\pi\) |
−0.306507 | + | 0.951868i | \(0.599160\pi\) | |||||||
\(42\) | −0.244097 | − | 1.14839i | −0.0376650 | − | 0.177200i | ||||
\(43\) | 0.0593233 | − | 0.00623513i | 0.00904672 | − | 0.000950849i | −0.100004 | − | 0.994987i | \(-0.531886\pi\) |
0.109051 | + | 0.994036i | \(0.465219\pi\) | |||||||
\(44\) | −0.541668 | + | 5.15363i | −0.0816595 | + | 0.776938i | ||||
\(45\) | −1.80707 | − | 1.31700i | −0.269382 | − | 0.196327i | ||||
\(46\) | 1.92296 | + | 1.39711i | 0.283525 | + | 0.205993i | ||||
\(47\) | 0.567462 | − | 0.781045i | 0.0827729 | − | 0.113927i | −0.765623 | − | 0.643290i | \(-0.777569\pi\) |
0.848396 | + | 0.529363i | \(0.177569\pi\) | |||||||
\(48\) | 0.207912 | − | 0.978148i | 0.0300095 | − | 0.141183i | ||||
\(49\) | −0.587620 | + | 5.59083i | −0.0839456 | + | 0.798689i | ||||
\(50\) | 3.70582 | + | 3.35663i | 0.524081 | + | 0.474698i | ||||
\(51\) | 4.19443 | − | 0.891553i | 0.587338 | − | 0.124842i | ||||
\(52\) | −0.707942 | + | 1.59006i | −0.0981739 | + | 0.220502i | ||||
\(53\) | −4.48724 | − | 4.04033i | −0.616370 | − | 0.554982i | 0.300695 | − | 0.953720i | \(-0.402781\pi\) |
−0.917065 | + | 0.398739i | \(0.869448\pi\) | |||||||
\(54\) | 0.309017 | + | 0.951057i | 0.0420519 | + | 0.129422i | ||||
\(55\) | 3.56439 | + | 11.0255i | 0.480622 | + | 1.48668i | ||||
\(56\) | 0.587022 | − | 1.01675i | 0.0784441 | − | 0.135869i | ||||
\(57\) | −2.27429 | + | 1.31306i | −0.301237 | + | 0.173919i | ||||
\(58\) | −1.10082 | − | 0.357678i | −0.144545 | − | 0.0469655i | ||||
\(59\) | −5.14789 | + | 2.29199i | −0.670198 | + | 0.298391i | −0.713484 | − | 0.700671i | \(-0.752884\pi\) |
0.0432861 | + | 0.999063i | \(0.486217\pi\) | |||||||
\(60\) | −0.461671 | − | 2.18789i | −0.0596014 | − | 0.282455i | ||||
\(61\) | 4.17440 | 0.534478 | 0.267239 | − | 0.963630i | \(-0.413889\pi\) | ||||
0.267239 | + | 0.963630i | \(0.413889\pi\) | |||||||
\(62\) | 0.723811 | − | 5.52052i | 0.0919241 | − | 0.701106i | ||||
\(63\) | 1.17404i | 0.147916i | ||||||||
\(64\) | 0.809017 | − | 0.587785i | 0.101127 | − | 0.0734732i | ||||
\(65\) | −0.00575395 | + | 3.89197i | −0.000713690 | + | 0.482739i | ||||
\(66\) | 1.60133 | − | 4.92839i | 0.197110 | − | 0.606643i | ||||
\(67\) | −6.91533 | + | 3.99257i | −0.844842 | + | 0.487769i | −0.858907 | − | 0.512132i | \(-0.828856\pi\) |
0.0140655 | + | 0.999901i | \(0.495523\pi\) | |||||||
\(68\) | 3.71363 | + | 2.14407i | 0.450344 | + | 0.260006i | ||||
\(69\) | −1.59047 | − | 1.76639i | −0.191470 | − | 0.212648i | ||||
\(70\) | 0.278272 | − | 2.61045i | 0.0332599 | − | 0.312009i | ||||
\(71\) | −6.33350 | + | 7.03406i | −0.751648 | + | 0.834789i | −0.990678 | − | 0.136223i | \(-0.956504\pi\) |
0.239031 | + | 0.971012i | \(0.423170\pi\) | |||||||
\(72\) | −0.406737 | + | 0.913545i | −0.0479344 | + | 0.107662i | ||||
\(73\) | 2.03639 | + | 9.58045i | 0.238341 | + | 1.12131i | 0.920694 | + | 0.390284i | \(0.127623\pi\) |
−0.682353 | + | 0.731023i | \(0.739043\pi\) | |||||||
\(74\) | −0.732242 | − | 6.96682i | −0.0851214 | − | 0.809876i | ||||
\(75\) | −2.92695 | − | 4.05376i | −0.337975 | − | 0.468088i | ||||
\(76\) | −2.56874 | − | 0.546002i | −0.294654 | − | 0.0626307i | ||||
\(77\) | 3.57603 | − | 4.92198i | 0.407527 | − | 0.560912i | ||||
\(78\) | 1.02306 | − | 1.40813i | 0.115839 | − | 0.159439i | ||||
\(79\) | 14.4873 | + | 3.07936i | 1.62994 | + | 0.346455i | 0.929948 | − | 0.367692i | \(-0.119852\pi\) |
0.699996 | + | 0.714147i | \(0.253185\pi\) | |||||||
\(80\) | 1.12090 | − | 1.93484i | 0.125320 | − | 0.216321i | ||||
\(81\) | −0.104528 | − | 0.994522i | −0.0116143 | − | 0.110502i | ||||
\(82\) | −0.285298 | − | 1.34222i | −0.0315058 | − | 0.148223i | ||||
\(83\) | 0.659399 | − | 1.48103i | 0.0723785 | − | 0.162565i | −0.873733 | − | 0.486406i | \(-0.838308\pi\) |
0.946111 | + | 0.323841i | \(0.104974\pi\) | |||||||
\(84\) | −0.785588 | + | 0.872484i | −0.0857147 | + | 0.0951958i | ||||
\(85\) | 9.53454 | + | 1.01637i | 1.03417 | + | 0.110241i | ||||
\(86\) | −0.0399137 | − | 0.0443286i | −0.00430400 | − | 0.00478008i | ||||
\(87\) | 1.00240 | + | 0.578736i | 0.107469 | + | 0.0620470i | ||||
\(88\) | 4.48775 | − | 2.59101i | 0.478396 | − | 0.276202i | ||||
\(89\) | 2.59788 | − | 7.99544i | 0.275374 | − | 0.847515i | −0.713746 | − | 0.700405i | \(-0.753003\pi\) |
0.989120 | − | 0.147110i | \(-0.0469972\pi\) | |||||||
\(90\) | −0.00330584 | + | 2.23607i | −0.000348466 | + | 0.235702i | ||||
\(91\) | 1.65320 | − | 1.20112i | 0.173303 | − | 0.125912i | ||||
\(92\) | − | 2.37691i | − | 0.247810i | ||||||
\(93\) | −1.85577 | + | 5.24939i | −0.192435 | + | 0.544336i | ||||
\(94\) | −0.965425 | −0.0995760 | ||||||||
\(95\) | −5.74567 | + | 1.21240i | −0.589493 | + | 0.124390i | ||||
\(96\) | −0.913545 | + | 0.406737i | −0.0932383 | + | 0.0415124i | ||||
\(97\) | −3.70048 | − | 1.20236i | −0.375727 | − | 0.122081i | 0.115065 | − | 0.993358i | \(-0.463292\pi\) |
−0.490792 | + | 0.871277i | \(0.663292\pi\) | |||||||
\(98\) | 4.86847 | − | 2.81081i | 0.491789 | − | 0.283935i | ||||
\(99\) | −2.59101 | + | 4.48775i | −0.260406 | + | 0.451036i | ||||
\(100\) | 0.537343 | − | 4.97104i | 0.0537343 | − | 0.497104i | ||||
\(101\) | −6.03006 | − | 18.5586i | −0.600013 | − | 1.84665i | −0.527995 | − | 0.849248i | \(-0.677056\pi\) |
−0.0720184 | − | 0.997403i | \(-0.522944\pi\) | |||||||
\(102\) | −3.18671 | − | 2.86932i | −0.315531 | − | 0.284105i | ||||
\(103\) | 1.26547 | − | 2.84230i | 0.124691 | − | 0.280060i | −0.840404 | − | 0.541960i | \(-0.817682\pi\) |
0.965095 | + | 0.261900i | \(0.0843490\pi\) | |||||||
\(104\) | 1.70251 | − | 0.361879i | 0.166945 | − | 0.0354852i | ||||
\(105\) | −0.814934 | + | 2.49555i | −0.0795294 | + | 0.243541i | ||||
\(106\) | −0.631161 | + | 6.00510i | −0.0613038 | + | 0.583267i | ||||
\(107\) | 1.49980 | − | 7.05601i | 0.144991 | − | 0.682130i | −0.844264 | − | 0.535928i | \(-0.819962\pi\) |
0.989255 | − | 0.146202i | \(-0.0467049\pi\) | |||||||
\(108\) | 0.587785 | − | 0.809017i | 0.0565597 | − | 0.0778477i | ||||
\(109\) | −2.24438 | − | 1.63063i | −0.214972 | − | 0.156186i | 0.475088 | − | 0.879938i | \(-0.342416\pi\) |
−0.690061 | + | 0.723752i | \(0.742416\pi\) | |||||||
\(110\) | 6.82472 | − | 9.36427i | 0.650711 | − | 0.892848i | ||||
\(111\) | −0.732242 | + | 6.96682i | −0.0695013 | + | 0.661261i | ||||
\(112\) | −1.16761 | + | 0.122721i | −0.110329 | + | 0.0115960i | ||||
\(113\) | 2.93281 | + | 13.7978i | 0.275896 | + | 1.29799i | 0.869781 | + | 0.493438i | \(0.164260\pi\) |
−0.593885 | + | 0.804550i | \(0.702407\pi\) | |||||||
\(114\) | 2.39908 | + | 1.06814i | 0.224695 | + | 0.100041i | ||||
\(115\) | −2.15460 | − | 4.85863i | −0.200917 | − | 0.453070i | ||||
\(116\) | 0.357678 | + | 1.10082i | 0.0332096 | + | 0.102209i | ||||
\(117\) | −1.29347 | + | 1.16465i | −0.119582 | + | 0.107672i | ||||
\(118\) | 4.88011 | + | 2.81753i | 0.449251 | + | 0.259375i | ||||
\(119\) | −2.51723 | − | 4.35997i | −0.230754 | − | 0.399678i | ||||
\(120\) | −1.49868 | + | 1.65951i | −0.136810 | + | 0.151492i | ||||
\(121\) | 14.4827 | − | 6.44810i | 1.31661 | − | 0.586191i | ||||
\(122\) | −2.45365 | − | 3.37716i | −0.222143 | − | 0.305754i | ||||
\(123\) | 1.37221i | 0.123728i | ||||||||
\(124\) | −4.89164 | + | 2.65930i | −0.439282 | + | 0.238812i | ||||
\(125\) | −3.40772 | − | 10.6484i | −0.304796 | − | 0.952418i | ||||
\(126\) | 0.949821 | − | 0.690085i | 0.0846168 | − | 0.0614777i | ||||
\(127\) | −1.08727 | − | 2.44204i | −0.0964794 | − | 0.216696i | 0.858858 | − | 0.512214i | \(-0.171175\pi\) |
−0.955337 | + | 0.295518i | \(0.904508\pi\) | |||||||
\(128\) | −0.951057 | − | 0.309017i | −0.0840623 | − | 0.0273135i | ||||
\(129\) | 0.0298250 | + | 0.0516585i | 0.00262595 | + | 0.00454828i | ||||
\(130\) | 3.15205 | − | 2.28298i | 0.276453 | − | 0.200231i | ||||
\(131\) | −5.08940 | − | 5.65235i | −0.444663 | − | 0.493848i | 0.478591 | − | 0.878038i | \(-0.341148\pi\) |
−0.923254 | + | 0.384190i | \(0.874481\pi\) | |||||||
\(132\) | −4.92839 | + | 1.60133i | −0.428961 | + | 0.139378i | ||||
\(133\) | 2.29125 | + | 2.06305i | 0.198677 | + | 0.178889i | ||||
\(134\) | 7.29478 | + | 3.24785i | 0.630173 | + | 0.280571i | ||||
\(135\) | 0.468138 | − | 2.18651i | 0.0402909 | − | 0.188185i | ||||
\(136\) | −0.448232 | − | 4.26464i | −0.0384356 | − | 0.365690i | ||||
\(137\) | 7.08465 | + | 0.744627i | 0.605283 | + | 0.0636178i | 0.402212 | − | 0.915546i | \(-0.368241\pi\) |
0.203070 | + | 0.979164i | \(0.434908\pi\) | |||||||
\(138\) | −0.494188 | + | 2.32497i | −0.0420681 | + | 0.197915i | ||||
\(139\) | −7.41649 | − | 5.38839i | −0.629058 | − | 0.457038i | 0.227016 | − | 0.973891i | \(-0.427103\pi\) |
−0.856074 | + | 0.516854i | \(0.827103\pi\) | |||||||
\(140\) | −2.27546 | + | 1.30926i | −0.192312 | + | 0.110652i | ||||
\(141\) | 0.944328 | + | 0.200723i | 0.0795268 | + | 0.0169039i | ||||
\(142\) | 9.41341 | + | 0.989389i | 0.789956 | + | 0.0830277i | ||||
\(143\) | 8.97010 | − | 0.942795i | 0.750117 | − | 0.0788405i | ||||
\(144\) | 0.978148 | − | 0.207912i | 0.0815123 | − | 0.0173260i | ||||
\(145\) | 1.72899 | + | 1.92595i | 0.143585 | + | 0.159942i | ||||
\(146\) | 6.55379 | − | 7.27872i | 0.542396 | − | 0.602391i | ||||
\(147\) | −5.34648 | + | 1.73718i | −0.440970 | + | 0.143280i | ||||
\(148\) | −5.20587 | + | 4.68739i | −0.427920 | + | 0.385301i | ||||
\(149\) | 2.25719 | − | 3.90957i | 0.184916 | − | 0.320284i | −0.758632 | − | 0.651519i | \(-0.774132\pi\) |
0.943548 | + | 0.331235i | \(0.107465\pi\) | |||||||
\(150\) | −1.55914 | + | 4.75069i | −0.127303 | + | 0.387892i | ||||
\(151\) | 4.99185 | − | 15.3633i | 0.406231 | − | 1.25025i | −0.513632 | − | 0.858011i | \(-0.671700\pi\) |
0.919863 | − | 0.392240i | \(-0.128300\pi\) | |||||||
\(152\) | 1.06814 | + | 2.39908i | 0.0866376 | + | 0.194591i | ||||
\(153\) | 2.52050 | + | 3.46917i | 0.203771 | + | 0.280466i | ||||
\(154\) | −6.08391 | −0.490255 | ||||||||
\(155\) | −7.58838 | + | 9.86998i | −0.609513 | + | 0.792776i | ||||
\(156\) | −1.74054 | −0.139355 | ||||||||
\(157\) | 13.6005 | + | 18.7194i | 1.08543 | + | 1.49397i | 0.853394 | + | 0.521266i | \(0.174540\pi\) |
0.232040 | + | 0.972706i | \(0.425460\pi\) | |||||||
\(158\) | −6.02414 | − | 13.5304i | −0.479255 | − | 1.07642i | ||||
\(159\) | 1.86590 | − | 5.74265i | 0.147975 | − | 0.455421i | ||||
\(160\) | −2.22416 | + | 0.230445i | −0.175835 | + | 0.0182183i | ||||
\(161\) | −1.39530 | + | 2.41673i | −0.109965 | + | 0.190465i | ||||
\(162\) | −0.743145 | + | 0.669131i | −0.0583870 | + | 0.0525719i | ||||
\(163\) | −18.0277 | + | 5.85757i | −1.41204 | + | 0.458800i | −0.913065 | − | 0.407815i | \(-0.866291\pi\) |
−0.498977 | + | 0.866615i | \(0.666291\pi\) | |||||||
\(164\) | −0.918185 | + | 1.01975i | −0.0716982 | + | 0.0796289i | ||||
\(165\) | −8.62252 | + | 7.74070i | −0.671262 | + | 0.602613i | ||||
\(166\) | −1.58577 | + | 0.337065i | −0.123079 | + | 0.0261613i | ||||
\(167\) | −11.7619 | + | 1.23622i | −0.910162 | + | 0.0956619i | −0.548024 | − | 0.836463i | \(-0.684620\pi\) |
−0.362138 | + | 0.932125i | \(0.617953\pi\) | |||||||
\(168\) | 1.16761 | + | 0.122721i | 0.0900832 | + | 0.00946813i | ||||
\(169\) | −9.75264 | − | 2.07299i | −0.750203 | − | 0.159461i | ||||
\(170\) | −4.78200 | − | 8.31102i | −0.366763 | − | 0.637426i | ||||
\(171\) | −2.12458 | − | 1.54360i | −0.162471 | − | 0.118042i | ||||
\(172\) | −0.0124019 | + | 0.0583466i | −0.000945640 | + | 0.00444889i | ||||
\(173\) | 24.0549 | + | 2.52827i | 1.82886 | + | 0.192221i | 0.955527 | − | 0.294903i | \(-0.0952872\pi\) |
0.873333 | + | 0.487124i | \(0.161954\pi\) | |||||||
\(174\) | −0.120989 | − | 1.15113i | −0.00917213 | − | 0.0872670i | ||||
\(175\) | −3.46445 | + | 4.73888i | −0.261888 | + | 0.358226i | ||||
\(176\) | −4.73400 | − | 2.10771i | −0.356839 | − | 0.158875i | ||||
\(177\) | −4.18767 | − | 3.77060i | −0.314765 | − | 0.283415i | ||||
\(178\) | −7.99544 | + | 2.59788i | −0.599283 | + | 0.194719i | ||||
\(179\) | −4.09837 | − | 4.55170i | −0.306326 | − | 0.340210i | 0.570251 | − | 0.821470i | \(-0.306846\pi\) |
−0.876578 | + | 0.481260i | \(0.840179\pi\) | |||||||
\(180\) | 1.81096 | − | 1.31165i | 0.134981 | − | 0.0977648i | ||||
\(181\) | −11.8049 | − | 20.4467i | −0.877452 | − | 1.51979i | −0.854127 | − | 0.520064i | \(-0.825908\pi\) |
−0.0233248 | − | 0.999728i | \(-0.507425\pi\) | |||||||
\(182\) | −1.94346 | − | 0.631467i | −0.144059 | − | 0.0468075i | ||||
\(183\) | 1.69788 | + | 3.81351i | 0.125511 | + | 0.281903i | ||||
\(184\) | −1.92296 | + | 1.39711i | −0.141763 | + | 0.102997i | ||||
\(185\) | −6.39231 | + | 14.3004i | −0.469972 | + | 1.05139i | ||||
\(186\) | 5.33764 | − | 1.58416i | 0.391375 | − | 0.116156i | ||||
\(187\) | − | 22.2212i | − | 1.62497i | ||||||
\(188\) | 0.567462 | + | 0.781045i | 0.0413864 | + | 0.0569636i | ||||
\(189\) | −1.07254 | + | 0.477526i | −0.0780159 | + | 0.0347349i | ||||
\(190\) | 4.35807 | + | 3.93571i | 0.316168 | + | 0.285526i | ||||
\(191\) | −8.82367 | − | 15.2830i | −0.638458 | − | 1.10584i | −0.985771 | − | 0.168093i | \(-0.946239\pi\) |
0.347313 | − | 0.937749i | \(-0.387094\pi\) | |||||||
\(192\) | 0.866025 | + | 0.500000i | 0.0625000 | + | 0.0360844i | ||||
\(193\) | −15.4451 | + | 13.9068i | −1.11176 | + | 1.00104i | −0.111790 | + | 0.993732i | \(0.535658\pi\) |
−0.999973 | + | 0.00730394i | \(0.997675\pi\) | |||||||
\(194\) | 1.20236 | + | 3.70048i | 0.0863244 | + | 0.265679i | ||||
\(195\) | −3.55783 | + | 1.57775i | −0.254781 | + | 0.112985i | ||||
\(196\) | −5.13561 | − | 2.28652i | −0.366829 | − | 0.163323i | ||||
\(197\) | −0.00425777 | − | 0.0200312i | −0.000303354 | − | 0.00142717i | 0.977996 | − | 0.208625i | \(-0.0668989\pi\) |
−0.978299 | + | 0.207198i | \(0.933566\pi\) | |||||||
\(198\) | 5.15363 | − | 0.541668i | 0.366252 | − | 0.0384947i | ||||
\(199\) | 0.387448 | − | 3.68632i | 0.0274654 | − | 0.261316i | −0.972169 | − | 0.234281i | \(-0.924727\pi\) |
0.999634 | − | 0.0270356i | \(-0.00860676\pi\) | |||||||
\(200\) | −4.33750 | + | 2.48719i | −0.306708 | + | 0.175871i | ||||
\(201\) | −6.46011 | − | 4.69354i | −0.455661 | − | 0.331057i | ||||
\(202\) | −11.4699 | + | 15.7869i | −0.807016 | + | 1.11076i | ||||
\(203\) | 0.282536 | − | 1.32923i | 0.0198301 | − | 0.0932934i | ||||
\(204\) | −0.448232 | + | 4.26464i | −0.0313825 | + | 0.298585i | ||||
\(205\) | −0.952484 | + | 2.91676i | −0.0665243 | + | 0.203716i | ||||
\(206\) | −3.04330 | + | 0.646873i | −0.212037 | + | 0.0450698i | ||||
\(207\) | 0.966778 | − | 2.17142i | 0.0671957 | − | 0.150924i | ||||
\(208\) | −1.29347 | − | 1.16465i | −0.0896863 | − | 0.0807539i | ||||
\(209\) | 4.20529 | + | 12.9426i | 0.290886 | + | 0.895255i | ||||
\(210\) | 2.49795 | − | 0.807552i | 0.172375 | − | 0.0557264i | ||||
\(211\) | 4.82311 | − | 8.35388i | 0.332037 | − | 0.575105i | −0.650874 | − | 0.759186i | \(-0.725598\pi\) |
0.982911 | + | 0.184081i | \(0.0589308\pi\) | |||||||
\(212\) | 5.22921 | − | 3.01909i | 0.359144 | − | 0.207352i | ||||
\(213\) | −9.00200 | − | 2.92493i | −0.616807 | − | 0.200413i | ||||
\(214\) | −6.58999 | + | 2.93405i | −0.450482 | + | 0.200568i | ||||
\(215\) | 0.0275387 | + | 0.130508i | 0.00187812 | + | 0.00890056i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | 6.53465 | + | 0.167647i | 0.443601 | + | 0.0113806i | ||||
\(218\) | 2.77420i | 0.187893i | ||||||||
\(219\) | −7.92390 | + | 5.75705i | −0.535448 | + | 0.389026i | ||||
\(220\) | −11.5873 | − | 0.0171309i | −0.781217 | − | 0.00115497i | ||||
\(221\) | 2.30640 | − | 7.09838i | 0.155145 | − | 0.477489i | ||||
\(222\) | 6.06668 | − | 3.50260i | 0.407169 | − | 0.235079i | ||||
\(223\) | −21.7490 | − | 12.5568i | −1.45642 | − | 0.840864i | −0.457586 | − | 0.889165i | \(-0.651286\pi\) |
−0.998833 | + | 0.0483011i | \(0.984619\pi\) | |||||||
\(224\) | 0.785588 | + | 0.872484i | 0.0524893 | + | 0.0582953i | ||||
\(225\) | 2.51279 | − | 4.32272i | 0.167520 | − | 0.288181i | ||||
\(226\) | 9.43879 | − | 10.4828i | 0.627859 | − | 0.697308i | ||||
\(227\) | −0.487813 | + | 1.09565i | −0.0323773 | + | 0.0727205i | −0.929010 | − | 0.370054i | \(-0.879339\pi\) |
0.896633 | + | 0.442775i | \(0.146006\pi\) | |||||||
\(228\) | −0.546002 | − | 2.56874i | −0.0361599 | − | 0.170119i | ||||
\(229\) | 2.06767 | + | 19.6725i | 0.136635 | + | 1.30000i | 0.821030 | + | 0.570885i | \(0.193400\pi\) |
−0.684395 | + | 0.729112i | \(0.739933\pi\) | |||||||
\(230\) | −2.66427 | + | 4.59894i | −0.175677 | + | 0.303245i | ||||
\(231\) | 5.95096 | + | 1.26492i | 0.391544 | + | 0.0832253i | ||||
\(232\) | 0.680345 | − | 0.936414i | 0.0446668 | − | 0.0614786i | ||||
\(233\) | 7.38391 | − | 10.1631i | 0.483736 | − | 0.665806i | −0.495481 | − | 0.868619i | \(-0.665008\pi\) |
0.979218 | + | 0.202813i | \(0.0650083\pi\) | |||||||
\(234\) | 1.70251 | + | 0.361879i | 0.111296 | + | 0.0236568i | ||||
\(235\) | 1.86794 | + | 1.08214i | 0.121851 | + | 0.0705911i | ||||
\(236\) | −0.589025 | − | 5.60420i | −0.0383422 | − | 0.364802i | ||||
\(237\) | 3.07936 | + | 14.4873i | 0.200026 | + | 0.941048i | ||||
\(238\) | −2.04770 | + | 4.59920i | −0.132733 | + | 0.298122i | ||||
\(239\) | 1.28891 | − | 1.43148i | 0.0833725 | − | 0.0925946i | −0.700015 | − | 0.714128i | \(-0.746823\pi\) |
0.783388 | + | 0.621534i | \(0.213490\pi\) | |||||||
\(240\) | 2.22347 | + | 0.237020i | 0.143524 | + | 0.0152996i | ||||
\(241\) | 16.5228 | + | 18.3505i | 1.06433 | + | 1.18206i | 0.982664 | + | 0.185398i | \(0.0593574\pi\) |
0.0816659 | + | 0.996660i | \(0.473976\pi\) | |||||||
\(242\) | −13.7293 | − | 7.92663i | −0.882554 | − | 0.509543i | ||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | −1.28996 | + | 3.97009i | −0.0825813 | + | 0.254159i | ||||
\(245\) | −12.5703 | − | 0.0185842i | −0.803088 | − | 0.00118730i | ||||
\(246\) | 1.11014 | − | 0.806562i | 0.0707798 | − | 0.0514245i | ||||
\(247\) | 4.57088i | 0.290838i | ||||||||
\(248\) | 5.02665 | + | 2.39432i | 0.319193 | + | 0.152039i | ||||
\(249\) | 1.62119 | 0.102739 | ||||||||
\(250\) | −6.61169 | + | 9.01585i | −0.418160 | + | 0.570212i | ||||
\(251\) | 4.61807 | − | 2.05610i | 0.291490 | − | 0.129780i | −0.255782 | − | 0.966734i | \(-0.582333\pi\) |
0.547272 | + | 0.836955i | \(0.315666\pi\) | |||||||
\(252\) | −1.11658 | − | 0.362799i | −0.0703380 | − | 0.0228542i | ||||
\(253\) | −10.6670 | + | 6.15860i | −0.670629 | + | 0.387188i | ||||
\(254\) | −1.33658 | + | 2.31502i | −0.0838642 | + | 0.145257i | ||||
\(255\) | 2.94954 | + | 9.12363i | 0.184708 | + | 0.571344i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −0.525913 | − | 0.473534i | −0.0328055 | − | 0.0295382i | 0.652565 | − | 0.757733i | \(-0.273693\pi\) |
−0.685370 | + | 0.728195i | \(0.740360\pi\) | |||||||
\(258\) | 0.0242619 | − | 0.0544931i | 0.00151048 | − | 0.00339259i | ||||
\(259\) | 8.04468 | − | 1.70995i | 0.499872 | − | 0.106251i | ||||
\(260\) | −3.69970 | − | 1.20816i | −0.229446 | − | 0.0749266i | ||||
\(261\) | −0.120989 | + | 1.15113i | −0.00748901 | + | 0.0712532i | ||||
\(262\) | −1.58137 | + | 7.43978i | −0.0976976 | + | 0.459631i | ||||
\(263\) | −5.88399 | + | 8.09862i | −0.362822 | + | 0.499382i | −0.950932 | − | 0.309399i | \(-0.899872\pi\) |
0.588110 | + | 0.808781i | \(0.299872\pi\) | |||||||
\(264\) | 4.19234 | + | 3.04591i | 0.258020 | + | 0.187463i | ||||
\(265\) | 7.95228 | − | 10.9114i | 0.488505 | − | 0.670283i | ||||
\(266\) | 0.322280 | − | 3.06629i | 0.0197603 | − | 0.188006i | ||||
\(267\) | 8.36085 | − | 0.878761i | 0.511676 | − | 0.0537793i | ||||
\(268\) | −1.66020 | − | 7.81064i | −0.101413 | − | 0.477111i | ||||
\(269\) | 5.95577 | + | 2.65168i | 0.363130 | + | 0.161676i | 0.580187 | − | 0.814483i | \(-0.302979\pi\) |
−0.217058 | + | 0.976159i | \(0.569646\pi\) | |||||||
\(270\) | −2.04409 | + | 0.906470i | −0.124399 | + | 0.0551660i | ||||
\(271\) | −3.95979 | − | 12.1870i | −0.240540 | − | 0.740306i | −0.996338 | − | 0.0855012i | \(-0.972751\pi\) |
0.755798 | − | 0.654805i | \(-0.227249\pi\) | |||||||
\(272\) | −3.18671 | + | 2.86932i | −0.193222 | + | 0.173978i | ||||
\(273\) | 1.76970 | + | 1.02174i | 0.107107 | + | 0.0618383i | ||||
\(274\) | −3.56184 | − | 6.16928i | −0.215178 | − | 0.372700i | ||||
\(275\) | −23.7011 | + | 10.4685i | −1.42923 | + | 0.631277i | ||||
\(276\) | 2.17142 | − | 0.966778i | 0.130704 | − | 0.0581932i | ||||
\(277\) | 2.85047 | + | 3.92333i | 0.171268 | + | 0.235730i | 0.886019 | − | 0.463649i | \(-0.153460\pi\) |
−0.714751 | + | 0.699379i | \(0.753460\pi\) | |||||||
\(278\) | 9.16728i | 0.549817i | ||||||||
\(279\) | −5.55037 | + | 0.439786i | −0.332292 | + | 0.0263293i | ||||
\(280\) | 2.39670 | + | 1.07133i | 0.143230 | + | 0.0640240i | ||||
\(281\) | 7.76550 | − | 5.64196i | 0.463251 | − | 0.336571i | −0.331554 | − | 0.943436i | \(-0.607573\pi\) |
0.794805 | + | 0.606865i | \(0.207573\pi\) | |||||||
\(282\) | −0.392674 | − | 0.881959i | −0.0233834 | − | 0.0525199i | ||||
\(283\) | −22.9554 | − | 7.45866i | −1.36456 | − | 0.443371i | −0.466995 | − | 0.884260i | \(-0.654663\pi\) |
−0.897562 | + | 0.440889i | \(0.854663\pi\) | |||||||
\(284\) | −4.73263 | − | 8.19716i | −0.280830 | − | 0.486412i | ||||
\(285\) | −3.44456 | − | 4.75580i | −0.204038 | − | 0.281709i | ||||
\(286\) | −6.03523 | − | 6.70280i | −0.356871 | − | 0.396345i | ||||
\(287\) | 1.53218 | − | 0.497835i | 0.0904417 | − | 0.0293863i | ||||
\(288\) | −0.743145 | − | 0.669131i | −0.0437902 | − | 0.0394289i | ||||
\(289\) | −1.26809 | − | 0.564592i | −0.0745938 | − | 0.0332113i | ||||
\(290\) | 0.541856 | − | 2.53083i | 0.0318189 | − | 0.148615i | ||||
\(291\) | −0.406712 | − | 3.86960i | −0.0238419 | − | 0.226840i | ||||
\(292\) | −9.74083 | − | 1.02380i | −0.570039 | − | 0.0599135i | ||||
\(293\) | 2.12270 | − | 9.98653i | 0.124010 | − | 0.583419i | −0.871632 | − | 0.490160i | \(-0.836938\pi\) |
0.995642 | − | 0.0932590i | \(-0.0297285\pi\) | |||||||
\(294\) | 4.54799 | + | 3.30431i | 0.265244 | + | 0.192711i | ||||
\(295\) | −6.28406 | − | 10.9216i | −0.365872 | − | 0.635878i | ||||
\(296\) | 6.85211 | + | 1.45646i | 0.398271 | + | 0.0846551i | ||||
\(297\) | −5.15363 | − | 0.541668i | −0.299044 | − | 0.0314308i | ||||
\(298\) | −4.48965 | + | 0.471881i | −0.260078 | + | 0.0273353i | ||||
\(299\) | −4.04671 | + | 0.860155i | −0.234027 | + | 0.0497440i | ||||
\(300\) | 4.75983 | − | 1.53102i | 0.274809 | − | 0.0883933i | ||||
\(301\) | 0.0468604 | − | 0.0520438i | 0.00270099 | − | 0.00299975i | ||||
\(302\) | −15.3633 | + | 4.99185i | −0.884061 | + | 0.287249i | ||||
\(303\) | 14.5015 | − | 13.0572i | 0.833089 | − | 0.750117i | ||||
\(304\) | 1.31306 | − | 2.27429i | 0.0753093 | − | 0.130439i | ||||
\(305\) | 0.961970 | + | 9.28455i | 0.0550822 | + | 0.531632i | ||||
\(306\) | 1.32511 | − | 4.07826i | 0.0757513 | − | 0.233139i | ||||
\(307\) | −0.321434 | − | 0.721953i | −0.0183452 | − | 0.0412040i | 0.904141 | − | 0.427235i | \(-0.140512\pi\) |
−0.922486 | + | 0.386031i | \(0.873846\pi\) | |||||||
\(308\) | 3.57603 | + | 4.92198i | 0.203763 | + | 0.280456i | ||||
\(309\) | 3.11129 | 0.176995 | ||||||||
\(310\) | 12.4453 | + | 0.337698i | 0.706847 | + | 0.0191800i | ||||
\(311\) | −14.2068 | −0.805593 | −0.402796 | − | 0.915290i | \(-0.631962\pi\) | ||||
−0.402796 | + | 0.915290i | \(0.631962\pi\) | |||||||
\(312\) | 1.02306 | + | 1.40813i | 0.0579196 | + | 0.0797195i | ||||
\(313\) | −12.8256 | − | 28.8067i | −0.724945 | − | 1.62825i | −0.776916 | − | 0.629604i | \(-0.783217\pi\) |
0.0519716 | − | 0.998649i | \(-0.483449\pi\) | |||||||
\(314\) | 7.15018 | − | 22.0060i | 0.403508 | − | 1.24187i | ||||
\(315\) | −2.61126 | + | 0.270552i | −0.147128 | + | 0.0152439i | ||||
\(316\) | −7.40545 | + | 12.8266i | −0.416589 | + | 0.721554i | ||||
\(317\) | 3.86502 | − | 3.48008i | 0.217081 | − | 0.195461i | −0.553415 | − | 0.832906i | \(-0.686675\pi\) |
0.770496 | + | 0.637445i | \(0.220009\pi\) | |||||||
\(318\) | −5.74265 | + | 1.86590i | −0.322032 | + | 0.104634i | ||||
\(319\) | 4.01347 | − | 4.45741i | 0.224711 | − | 0.249567i | ||||
\(320\) | 1.49376 | + | 1.66393i | 0.0835039 | + | 0.0930167i | ||||
\(321\) | 7.05601 | − | 1.49980i | 0.393828 | − | 0.0837107i | ||||
\(322\) | 2.77531 | − | 0.291697i | 0.154662 | − | 0.0162556i | ||||
\(323\) | 11.1995 | + | 1.17711i | 0.623156 | + | 0.0654963i | ||||
\(324\) | 0.978148 | + | 0.207912i | 0.0543415 | + | 0.0115506i | ||||
\(325\) | −8.65769 | + | 0.884085i | −0.480242 | + | 0.0490402i | ||||
\(326\) | 15.3353 | + | 11.1418i | 0.849345 | + | 0.617085i | ||||
\(327\) | 0.576789 | − | 2.71358i | 0.0318965 | − | 0.150061i | ||||
\(328\) | 1.36469 | + | 0.143435i | 0.0753523 | + | 0.00791985i | ||||
\(329\) | −0.118478 | − | 1.12724i | −0.00653189 | − | 0.0621468i | ||||
\(330\) | 11.3305 | + | 2.42590i | 0.623726 | + | 0.133541i | ||||
\(331\) | −19.1954 | − | 8.54634i | −1.05507 | − | 0.469749i | −0.195470 | − | 0.980710i | \(-0.562623\pi\) |
−0.859604 | + | 0.510960i | \(0.829290\pi\) | |||||||
\(332\) | 1.20478 | + | 1.08479i | 0.0661210 | + | 0.0595356i | ||||
\(333\) | −6.66234 | + | 2.16472i | −0.365094 | + | 0.118626i | ||||
\(334\) | 7.91359 | + | 8.78893i | 0.433012 | + | 0.480909i | ||||
\(335\) | −10.4737 | − | 14.4607i | −0.572240 | − | 0.790074i | ||||
\(336\) | −0.587022 | − | 1.01675i | −0.0320247 | − | 0.0554683i | ||||
\(337\) | 7.19847 | + | 2.33892i | 0.392126 | + | 0.127409i | 0.498442 | − | 0.866923i | \(-0.333906\pi\) |
−0.106316 | + | 0.994332i | \(0.533906\pi\) | |||||||
\(338\) | 4.05537 | + | 9.10852i | 0.220583 | + | 0.495438i | ||||
\(339\) | −11.4120 | + | 8.29133i | −0.619817 | + | 0.450323i | ||||
\(340\) | −3.91297 | + | 8.75381i | −0.212210 | + | 0.474742i | ||||
\(341\) | 24.6086 | + | 15.0622i | 1.33263 | + | 0.815664i | ||||
\(342\) | 2.62612i | 0.142004i | ||||||||
\(343\) | 8.71000 | + | 11.9883i | 0.470296 | + | 0.647306i | ||||
\(344\) | 0.0544931 | − | 0.0242619i | 0.00293807 | − | 0.00130811i | ||||
\(345\) | 3.56222 | − | 3.94451i | 0.191784 | − | 0.212365i | ||||
\(346\) | −12.0937 | − | 20.9469i | −0.650161 | − | 1.12611i | ||||
\(347\) | 2.61403 | + | 1.50921i | 0.140329 | + | 0.0810188i | 0.568521 | − | 0.822669i | \(-0.307516\pi\) |
−0.428192 | + | 0.903688i | \(0.640849\pi\) | |||||||
\(348\) | −0.860169 | + | 0.774500i | −0.0461099 | + | 0.0415175i | ||||
\(349\) | −10.0877 | − | 31.0468i | −0.539983 | − | 1.66190i | −0.732629 | − | 0.680628i | \(-0.761707\pi\) |
0.192646 | − | 0.981268i | \(-0.438293\pi\) | |||||||
\(350\) | 5.87019 | + | 0.0173572i | 0.313775 | + | 0.000927783i | ||||
\(351\) | −1.59006 | − | 0.707942i | −0.0848713 | − | 0.0377872i | ||||
\(352\) | 1.07740 | + | 5.06877i | 0.0574257 | + | 0.270167i | ||||
\(353\) | 11.3133 | − | 1.18908i | 0.602147 | − | 0.0632882i | 0.201450 | − | 0.979499i | \(-0.435435\pi\) |
0.400697 | + | 0.916211i | \(0.368768\pi\) | |||||||
\(354\) | −0.589025 | + | 5.60420i | −0.0313063 | + | 0.297860i | ||||
\(355\) | −17.1044 | − | 12.4658i | −0.907808 | − | 0.661614i | ||||
\(356\) | 6.80133 | + | 4.94145i | 0.360470 | + | 0.261896i | ||||
\(357\) | 2.95918 | − | 4.07296i | 0.156616 | − | 0.215564i | ||||
\(358\) | −1.27344 | + | 5.99107i | −0.0673035 | + | 0.316638i | ||||
\(359\) | 1.41814 | − | 13.4927i | 0.0748465 | − | 0.712117i | −0.891176 | − | 0.453658i | \(-0.850119\pi\) |
0.966022 | − | 0.258459i | \(-0.0832147\pi\) | |||||||
\(360\) | −2.12560 | − | 0.694126i | −0.112029 | − | 0.0365837i | ||||
\(361\) | 11.8390 | − | 2.51645i | 0.623105 | − | 0.132445i | ||||
\(362\) | −9.60298 | + | 21.5686i | −0.504721 | + | 1.13362i | ||||
\(363\) | 11.7813 | + | 10.6079i | 0.618356 | + | 0.556770i | ||||
\(364\) | 0.631467 | + | 1.94346i | 0.0330979 | + | 0.101865i | ||||
\(365\) | −20.8392 | + | 6.73702i | −1.09077 | + | 0.352632i | ||||
\(366\) | 2.08720 | − | 3.61514i | 0.109100 | − | 0.188966i | ||||
\(367\) | 30.0042 | − | 17.3229i | 1.56621 | − | 0.904250i | 0.569601 | − | 0.821921i | \(-0.307098\pi\) |
0.996605 | − | 0.0823285i | \(-0.0262357\pi\) | |||||||
\(368\) | 2.26058 | + | 0.734507i | 0.117841 | + | 0.0382888i | ||||
\(369\) | −1.25357 | + | 0.558126i | −0.0652583 | + | 0.0290549i | ||||
\(370\) | 15.3266 | − | 3.23409i | 0.796791 | − | 0.168132i | ||||
\(371\) | −7.08908 | −0.368047 | ||||||||
\(372\) | −4.41900 | − | 3.38710i | −0.229115 | − | 0.175613i | ||||
\(373\) | − | 19.4219i | − | 1.00563i | −0.864395 | − | 0.502813i | \(-0.832299\pi\) | ||
0.864395 | − | 0.502813i | \(-0.167701\pi\) | |||||||
\(374\) | −17.9773 | + | 13.0613i | −0.929584 | + | 0.675383i | ||||
\(375\) | 8.34171 | − | 7.44418i | 0.430764 | − | 0.384416i | ||||
\(376\) | 0.298333 | − | 0.918173i | 0.0153853 | − | 0.0473512i | ||||
\(377\) | 1.74472 | − | 1.00731i | 0.0898576 | − | 0.0518793i | ||||
\(378\) | 1.01675 | + | 0.587022i | 0.0522960 | + | 0.0301931i | ||||
\(379\) | 17.2272 | + | 19.1327i | 0.884902 | + | 0.982783i | 0.999944 | − | 0.0105774i | \(-0.00336695\pi\) |
−0.115042 | + | 0.993361i | \(0.536700\pi\) | |||||||
\(380\) | 0.622444 | − | 5.83911i | 0.0319307 | − | 0.299540i | ||||
\(381\) | 1.78869 | − | 1.98654i | 0.0916372 | − | 0.101773i | ||||
\(382\) | −7.17782 | + | 16.1216i | −0.367249 | + | 0.824855i | ||||
\(383\) | −6.47721 | − | 30.4729i | −0.330970 | − | 1.55709i | −0.757633 | − | 0.652681i | \(-0.773644\pi\) |
0.426662 | − | 0.904411i | \(-0.359689\pi\) | |||||||
\(384\) | −0.104528 | − | 0.994522i | −0.00533420 | − | 0.0507515i | ||||
\(385\) | 11.7714 | + | 6.81943i | 0.599924 | + | 0.347550i | ||||
\(386\) | 20.3293 | + | 4.32112i | 1.03473 | + | 0.219939i | ||||
\(387\) | −0.0350614 | + | 0.0482579i | −0.00178227 | + | 0.00245309i | ||||
\(388\) | 2.28702 | − | 3.14782i | 0.116106 | − | 0.159806i | ||||
\(389\) | −3.66293 | − | 0.778580i | −0.185718 | − | 0.0394756i | 0.114114 | − | 0.993468i | \(-0.463597\pi\) |
−0.299832 | + | 0.953992i | \(0.596931\pi\) | |||||||
\(390\) | 3.36766 | + | 1.95097i | 0.170528 | + | 0.0987910i | ||||
\(391\) | 1.06541 | + | 10.1367i | 0.0538800 | + | 0.512634i | ||||
\(392\) | 1.16880 | + | 5.49878i | 0.0590334 | + | 0.277730i | ||||
\(393\) | 3.09363 | − | 6.94842i | 0.156053 | − | 0.350501i | ||||
\(394\) | −0.0137030 | + | 0.0152187i | −0.000690345 | + | 0.000766706i | ||||
\(395\) | −3.51049 | + | 32.9316i | −0.176632 | + | 1.65697i | ||||
\(396\) | −3.46744 | − | 3.85099i | −0.174246 | − | 0.193519i | ||||
\(397\) | 6.68995 | + | 3.86244i | 0.335759 | + | 0.193850i | 0.658395 | − | 0.752673i | \(-0.271236\pi\) |
−0.322636 | + | 0.946523i | \(0.604569\pi\) | |||||||
\(398\) | −3.21003 | + | 1.85331i | −0.160904 | + | 0.0928981i | ||||
\(399\) | −0.952756 | + | 2.93228i | −0.0476975 | + | 0.146798i | ||||
\(400\) | 4.56169 | + | 2.04718i | 0.228085 | + | 0.102359i | ||||
\(401\) | −19.5462 | + | 14.2012i | −0.976092 | + | 0.709172i | −0.956832 | − | 0.290642i | \(-0.906131\pi\) |
−0.0192599 | + | 0.999815i | \(0.506131\pi\) | |||||||
\(402\) | 7.98513i | 0.398262i | ||||||||
\(403\) | 6.29766 | + | 7.36570i | 0.313709 | + | 0.366912i | ||||
\(404\) | 19.5137 | 0.970842 | ||||||||
\(405\) | 2.18789 | − | 0.461671i | 0.108717 | − | 0.0229406i | ||||
\(406\) | −1.24144 | + | 0.552723i | −0.0616115 | + | 0.0274312i | ||||
\(407\) | 34.5243 | + | 11.2176i | 1.71131 | + | 0.556037i | ||||
\(408\) | 3.71363 | − | 2.14407i | 0.183852 | − | 0.106147i | ||||
\(409\) | −8.95879 | + | 15.5171i | −0.442984 | + | 0.767270i | −0.997909 | − | 0.0646297i | \(-0.979413\pi\) |
0.554926 | + | 0.831900i | \(0.312747\pi\) | |||||||
\(410\) | 2.91957 | − | 0.943855i | 0.144187 | − | 0.0466137i | ||||
\(411\) | 2.20134 | + | 6.77502i | 0.108584 | + | 0.334187i | ||||
\(412\) | 2.31214 | + | 2.08186i | 0.113911 | + | 0.102566i | ||||
\(413\) | −2.69089 | + | 6.04384i | −0.132410 | + | 0.297398i | ||||
\(414\) | −2.32497 | + | 0.494188i | −0.114266 | + | 0.0242880i | ||||
\(415\) | 3.44602 | + | 1.12531i | 0.169158 | + | 0.0552395i | ||||
\(416\) | −0.181936 | + | 1.73101i | −0.00892015 | + | 0.0848696i | ||||
\(417\) | 1.90599 | − | 8.96695i | 0.0933365 | − | 0.439114i | ||||
\(418\) | 7.99894 | − | 11.0096i | 0.391241 | − | 0.538497i | ||||
\(419\) | 25.6248 | + | 18.6175i | 1.25185 | + | 0.909523i | 0.998328 | − | 0.0578062i | \(-0.0184106\pi\) |
0.253523 | + | 0.967329i | \(0.418411\pi\) | |||||||
\(420\) | −2.12158 | − | 1.54622i | −0.103523 | − | 0.0754476i | ||||
\(421\) | 0.0704841 | − | 0.670612i | 0.00343519 | − | 0.0326836i | −0.992670 | − | 0.120856i | \(-0.961436\pi\) |
0.996105 | + | 0.0881725i | \(0.0281027\pi\) | |||||||
\(422\) | −9.59338 | + | 1.00831i | −0.466999 | + | 0.0490835i | ||||
\(423\) | 0.200723 | + | 0.944328i | 0.00975949 | + | 0.0459148i | ||||
\(424\) | −5.51615 | − | 2.45595i | −0.267888 | − | 0.119271i | ||||
\(425\) | −0.0633964 | + | 21.4406i | −0.00307518 | + | 1.04002i | ||||
\(426\) | 2.92493 | + | 9.00200i | 0.141713 | + | 0.436148i | ||||
\(427\) | 3.64210 | − | 3.27936i | 0.176254 | − | 0.158700i | ||||
\(428\) | 6.24720 | + | 3.60682i | 0.301970 | + | 0.174342i | ||||
\(429\) | 4.50975 | + | 7.81112i | 0.217733 | + | 0.377125i | ||||
\(430\) | 0.0893962 | − | 0.0989898i | 0.00431107 | − | 0.00477371i | ||||
\(431\) | −0.398100 | + | 0.177246i | −0.0191758 | + | 0.00853762i | −0.416302 | − | 0.909226i | \(-0.636674\pi\) |
0.397126 | + | 0.917764i | \(0.370007\pi\) | |||||||
\(432\) | 0.587785 | + | 0.809017i | 0.0282798 | + | 0.0389238i | ||||
\(433\) | − | 21.6779i | − | 1.04177i | −0.853626 | − | 0.520886i | \(-0.825601\pi\) | ||
0.853626 | − | 0.520886i | \(-0.174399\pi\) | |||||||
\(434\) | −3.70534 | − | 5.38518i | −0.177862 | − | 0.258497i | ||||
\(435\) | −1.05620 | + | 2.36287i | −0.0506411 | + | 0.113291i | ||||
\(436\) | 2.24438 | − | 1.63063i | 0.107486 | − | 0.0780932i | ||||
\(437\) | −2.53888 | − | 5.70241i | −0.121451 | − | 0.272783i | ||||
\(438\) | 9.31511 | + | 3.02666i | 0.445093 | + | 0.144620i | ||||
\(439\) | 1.85828 | + | 3.21864i | 0.0886911 | + | 0.153617i | 0.906958 | − | 0.421221i | \(-0.138398\pi\) |
−0.818267 | + | 0.574838i | \(0.805065\pi\) | |||||||
\(440\) | 6.79700 | + | 9.38441i | 0.324034 | + | 0.447384i | ||||
\(441\) | −3.76160 | − | 4.17768i | −0.179124 | − | 0.198937i | ||||
\(442\) | −7.09838 | + | 2.30640i | −0.337635 | + | 0.109704i | ||||
\(443\) | −7.20216 | − | 6.48485i | −0.342185 | − | 0.308105i | 0.480063 | − | 0.877234i | \(-0.340614\pi\) |
−0.822248 | + | 0.569129i | \(0.807280\pi\) | |||||||
\(444\) | −6.39956 | − | 2.84927i | −0.303710 | − | 0.135220i | ||||
\(445\) | 18.3818 | + | 3.93559i | 0.871382 | + | 0.186565i | ||||
\(446\) | 2.62508 | + | 24.9760i | 0.124301 | + | 1.18265i | ||||
\(447\) | 4.48965 | + | 0.471881i | 0.212353 | + | 0.0223192i | ||||
\(448\) | 0.244097 | − | 1.14839i | 0.0115325 | − | 0.0542562i | ||||
\(449\) | 2.94075 | + | 2.13658i | 0.138782 | + | 0.100831i | 0.655010 | − | 0.755620i | \(-0.272664\pi\) |
−0.516228 | + | 0.856451i | \(0.672664\pi\) | |||||||
\(450\) | −4.97413 | + | 0.507937i | −0.234483 | + | 0.0239444i | ||||
\(451\) | 6.95540 | + | 1.47842i | 0.327517 | + | 0.0696159i | ||||
\(452\) | −14.0288 | − | 1.47448i | −0.659858 | − | 0.0693539i | ||||
\(453\) | 16.0655 | − | 1.68855i | 0.754822 | − | 0.0793350i | ||||
\(454\) | 1.17312 | − | 0.249355i | 0.0550575 | − | 0.0117028i | ||||
\(455\) | 3.05246 | + | 3.40020i | 0.143102 | + | 0.159404i | ||||
\(456\) | −1.75722 | + | 1.95159i | −0.0822893 | + | 0.0913916i | ||||
\(457\) | 32.6762 | − | 10.6171i | 1.52853 | − | 0.496649i | 0.580344 | − | 0.814372i | \(-0.302918\pi\) |
0.948184 | + | 0.317723i | \(0.102918\pi\) | |||||||
\(458\) | 14.7001 | − | 13.2360i | 0.686889 | − | 0.618478i | ||||
\(459\) | −2.14407 | + | 3.71363i | −0.100077 | + | 0.173338i | ||||
\(460\) | 5.28664 | − | 0.547747i | 0.246491 | − | 0.0255388i | ||||
\(461\) | −3.21276 | + | 9.88785i | −0.149633 | + | 0.460523i | −0.997578 | − | 0.0695617i | \(-0.977840\pi\) |
0.847945 | + | 0.530085i | \(0.177840\pi\) | |||||||
\(462\) | −2.47455 | − | 5.55793i | −0.115126 | − | 0.258578i | ||||
\(463\) | 5.35229 | + | 7.36680i | 0.248742 | + | 0.342364i | 0.915070 | − | 0.403294i | \(-0.132135\pi\) |
−0.666328 | + | 0.745659i | \(0.732135\pi\) | |||||||
\(464\) | −1.15747 | −0.0537343 | ||||||||
\(465\) | −12.1031 | − | 2.91785i | −0.561270 | − | 0.135312i | ||||
\(466\) | −12.5623 | −0.581936 | ||||||||
\(467\) | 12.1207 | + | 16.6826i | 0.560877 | + | 0.771981i | 0.991438 | − | 0.130581i | \(-0.0416842\pi\) |
−0.430561 | + | 0.902562i | \(0.641684\pi\) | |||||||
\(468\) | −0.707942 | − | 1.59006i | −0.0327246 | − | 0.0735007i | ||||
\(469\) | −2.89700 | + | 8.91605i | −0.133771 | + | 0.411705i | ||||
\(470\) | −0.222477 | − | 2.14726i | −0.0102621 | − | 0.0990457i | ||||
\(471\) | −11.5692 | + | 20.0385i | −0.533082 | + | 0.923326i | ||||
\(472\) | −4.18767 | + | 3.77060i | −0.192753 | + | 0.173556i | ||||
\(473\) | 0.293979 | − | 0.0955195i | 0.0135172 | − | 0.00439199i | ||||
\(474\) | 9.91043 | − | 11.0067i | 0.455201 | − | 0.505552i | ||||
\(475\) | −4.02064 | − | 12.4999i | −0.184480 | − | 0.573535i | ||||
\(476\) | 4.92444 | − | 1.04672i | 0.225711 | − | 0.0479764i | ||||
\(477\) | 6.00510 | − | 0.631161i | 0.274955 | − | 0.0288989i | ||||
\(478\) | −1.91569 | − | 0.201347i | −0.0876216 | − | 0.00920940i | ||||
\(479\) | −25.8630 | − | 5.49736i | −1.18171 | − | 0.251181i | −0.425163 | − | 0.905117i | \(-0.639783\pi\) |
−0.756550 | + | 0.653936i | \(0.773116\pi\) | |||||||
\(480\) | −1.11517 | − | 1.93814i | −0.0509003 | − | 0.0884637i | ||||
\(481\) | 9.86421 | + | 7.16677i | 0.449769 | + | 0.326776i | ||||
\(482\) | 5.13396 | − | 24.1534i | 0.233846 | − | 1.10016i | ||||
\(483\) | −2.77531 | − | 0.291697i | −0.126281 | − | 0.0132727i | ||||
\(484\) | 1.65712 | + | 15.7664i | 0.0753235 | + | 0.716655i | ||||
\(485\) | 1.82149 | − | 8.50755i | 0.0827094 | − | 0.386308i | ||||
\(486\) | −0.913545 | − | 0.406737i | −0.0414393 | − | 0.0184499i | ||||
\(487\) | 6.73032 | + | 6.06001i | 0.304980 | + | 0.274605i | 0.807382 | − | 0.590029i | \(-0.200884\pi\) |
−0.502402 | + | 0.864634i | \(0.667550\pi\) | |||||||
\(488\) | 3.97009 | − | 1.28996i | 0.179718 | − | 0.0583938i | ||||
\(489\) | −12.6837 | − | 14.0867i | −0.573577 | − | 0.637022i | ||||
\(490\) | 7.37361 | + | 10.1805i | 0.333106 | + | 0.459909i | ||||
\(491\) | −12.8911 | − | 22.3281i | −0.581769 | − | 1.00765i | −0.995270 | − | 0.0971494i | \(-0.969028\pi\) |
0.413501 | − | 0.910504i | \(-0.364306\pi\) | |||||||
\(492\) | −1.30504 | − | 0.424035i | −0.0588360 | − | 0.0191170i | ||||
\(493\) | −2.01879 | − | 4.53429i | −0.0909219 | − | 0.204214i | ||||
\(494\) | 3.69792 | − | 2.68669i | 0.166377 | − | 0.120880i | ||||
\(495\) | −10.5786 | − | 4.72864i | −0.475472 | − | 0.212536i | ||||
\(496\) | −1.01755 | − | 5.47399i | −0.0456893 | − | 0.245790i | ||||
\(497\) | 11.1126i | 0.498469i | ||||||||
\(498\) | −0.952914 | − | 1.31157i | −0.0427011 | − | 0.0587730i | ||||
\(499\) | 34.9154 | − | 15.5454i | 1.56303 | − | 0.695906i | 0.570888 | − | 0.821028i | \(-0.306599\pi\) |
0.992141 | + | 0.125122i | \(0.0399323\pi\) | |||||||
\(500\) | 11.1802 | + | 0.0495875i | 0.499995 | + | 0.00221762i | ||||
\(501\) | −5.91334 | − | 10.2422i | −0.264188 | − | 0.457588i | ||||
\(502\) | −4.37785 | − | 2.52755i | −0.195393 | − | 0.112810i | ||||
\(503\) | −24.9146 | + | 22.4332i | −1.11089 | + | 1.00025i | −0.110906 | + | 0.993831i | \(0.535375\pi\) |
−0.999979 | + | 0.00641441i | \(0.997958\pi\) | |||||||
\(504\) | 0.362799 | + | 1.11658i | 0.0161604 | + | 0.0497365i | ||||
\(505\) | 39.8878 | − | 17.6886i | 1.77498 | − | 0.787131i | ||||
\(506\) | 11.2523 | + | 5.00985i | 0.500227 | + | 0.222715i | ||||
\(507\) | −2.07299 | − | 9.75264i | −0.0920646 | − | 0.433130i | ||||
\(508\) | 2.65851 | − | 0.279420i | 0.117952 | − | 0.0123973i | ||||
\(509\) | 2.42071 | − | 23.0315i | 0.107296 | − | 1.02086i | −0.799896 | − | 0.600139i | \(-0.795112\pi\) |
0.907192 | − | 0.420717i | \(-0.138221\pi\) | |||||||
\(510\) | 5.64748 | − | 7.74897i | 0.250075 | − | 0.343130i | ||||
\(511\) | 9.30301 | + | 6.75903i | 0.411541 | + | 0.299002i | ||||
\(512\) | 0.587785 | − | 0.809017i | 0.0259767 | − | 0.0357538i | ||||
\(513\) | 0.546002 | − | 2.56874i | 0.0241066 | − | 0.113412i | ||||
\(514\) | −0.0739733 | + | 0.703809i | −0.00326282 | + | 0.0310437i | ||||
\(515\) | 6.61336 | + | 2.15963i | 0.291420 | + | 0.0951645i | ||||
\(516\) | −0.0583466 | + | 0.0124019i | −0.00256856 | + | 0.000545965i | ||||
\(517\) | 2.03484 | − | 4.57032i | 0.0894921 | − | 0.201003i | ||||
\(518\) | −6.11192 | − | 5.50320i | −0.268542 | − | 0.241797i | ||||
\(519\) | 7.47432 | + | 23.0036i | 0.328086 | + | 1.00975i | ||||
\(520\) | 1.19721 | + | 3.70326i | 0.0525012 | + | 0.162399i | ||||
\(521\) | 9.48489 | − | 16.4283i | 0.415540 | − | 0.719737i | −0.579945 | − | 0.814656i | \(-0.696926\pi\) |
0.995485 | + | 0.0949188i | \(0.0302591\pi\) | |||||||
\(522\) | 1.00240 | − | 0.578736i | 0.0438738 | − | 0.0253306i | ||||
\(523\) | −17.8279 | − | 5.79263i | −0.779559 | − | 0.253294i | −0.107907 | − | 0.994161i | \(-0.534415\pi\) |
−0.671652 | + | 0.740867i | \(0.734415\pi\) | |||||||
\(524\) | 6.94842 | − | 3.09363i | 0.303543 | − | 0.135146i | ||||
\(525\) | −5.73830 | − | 1.23746i | −0.250440 | − | 0.0540072i | ||||
\(526\) | 10.0104 | 0.436476 | ||||||||
\(527\) | 19.6691 | − | 13.5336i | 0.856800 | − | 0.589532i | ||||
\(528\) | − | 5.18201i | − | 0.225518i | ||||||
\(529\) | −14.0367 | + | 10.1982i | −0.610290 | + | 0.443402i | ||||
\(530\) | −13.5018 | − | 0.0199612i | −0.586479 | − | 0.000867061i | ||||
\(531\) | 1.74133 | − | 5.35927i | 0.0755673 | − | 0.232572i | ||||
\(532\) | −2.67011 | + | 1.54159i | −0.115764 | + | 0.0668365i | ||||
\(533\) | 2.06840 | + | 1.19419i | 0.0895923 | + | 0.0517261i | ||||
\(534\) | −5.62532 | − | 6.24755i | −0.243431 | − | 0.270358i | ||||
\(535\) | 16.0393 | + | 1.70978i | 0.693440 | + | 0.0739202i | ||||
\(536\) | −5.34310 | + | 5.93411i | −0.230787 | + | 0.256314i | ||||
\(537\) | 2.49123 | − | 5.59539i | 0.107504 | − | 0.241459i | ||||
\(538\) | −1.35546 | − | 6.37694i | −0.0584380 | − | 0.274929i | ||||
\(539\) | 3.04505 | + | 28.9717i | 0.131160 | + | 1.24790i | ||||
\(540\) | 1.93484 | + | 1.12090i | 0.0832621 | + | 0.0482357i | ||||
\(541\) | 12.8196 | + | 2.72489i | 0.551158 | + | 0.117152i | 0.475069 | − | 0.879949i | \(-0.342423\pi\) |
0.0760895 | + | 0.997101i | \(0.475757\pi\) | |||||||
\(542\) | −7.53196 | + | 10.3669i | −0.323526 | + | 0.445295i | ||||
\(543\) | 13.8775 | − | 19.1007i | 0.595541 | − | 0.819692i | ||||
\(544\) | 4.19443 | + | 0.891553i | 0.179835 | + | 0.0382250i | ||||
\(545\) | 3.10959 | − | 5.36763i | 0.133200 | − | 0.229924i | ||||
\(546\) | −0.213601 | − | 2.03228i | −0.00914128 | − | 0.0869734i | ||||
\(547\) | −2.64664 | − | 12.4515i | −0.113162 | − | 0.532386i | −0.997811 | − | 0.0661285i | \(-0.978935\pi\) |
0.884649 | − | 0.466258i | \(-0.154398\pi\) | |||||||
\(548\) | −2.89746 | + | 6.50780i | −0.123773 | + | 0.277999i | ||||
\(549\) | −2.79322 | + | 3.10219i | −0.119212 | + | 0.132398i | ||||
\(550\) | 22.4004 | + | 13.0213i | 0.955155 | + | 0.555231i | ||||
\(551\) | 2.03393 | + | 2.25891i | 0.0866484 | + | 0.0962328i | ||||
\(552\) | −2.05847 | − | 1.18846i | −0.0876142 | − | 0.0505841i | ||||
\(553\) | 15.0590 | − | 8.69433i | 0.640374 | − | 0.369720i | ||||
\(554\) | 1.49858 | − | 4.61215i | 0.0636685 | − | 0.195952i | ||||
\(555\) | −15.6641 | − | 0.0231581i | −0.664903 | − | 0.000983005i | ||||
\(556\) | 7.41649 | − | 5.38839i | 0.314529 | − | 0.228519i | ||||
\(557\) | 34.9064i | 1.47903i | 0.673139 | + | 0.739516i | \(0.264946\pi\) | ||||
−0.673139 | + | 0.739516i | \(0.735054\pi\) | |||||||
\(558\) | 3.61822 | + | 4.23184i | 0.153171 | + | 0.179148i | ||||
\(559\) | 0.103823 | 0.00439126 | ||||||||
\(560\) | −0.542021 | − | 2.56868i | −0.0229046 | − | 0.108546i | ||||
\(561\) | 20.3001 | − | 9.03816i | 0.857069 | − | 0.381592i | ||||
\(562\) | −9.12889 | − | 2.96616i | −0.385079 | − | 0.125120i | ||||
\(563\) | −23.2380 | + | 13.4164i | −0.979364 | + | 0.565436i | −0.902078 | − | 0.431573i | \(-0.857959\pi\) |
−0.0772856 | + | 0.997009i | \(0.524625\pi\) | |||||||
\(564\) | −0.482712 | + | 0.836082i | −0.0203259 | + | 0.0352054i | ||||
\(565\) | −30.0127 | + | 9.70268i | −1.26264 | + | 0.408195i | ||||
\(566\) | 7.45866 | + | 22.9554i | 0.313511 | + | 0.964887i | ||||
\(567\) | −0.872484 | − | 0.785588i | −0.0366409 | − | 0.0329916i | ||||
\(568\) | −3.84987 | + | 8.64695i | −0.161537 | + | 0.362818i | ||||
\(569\) | 28.4411 | − | 6.04534i | 1.19231 | − | 0.253434i | 0.431323 | − | 0.902197i | \(-0.358047\pi\) |
0.760990 | + | 0.648763i | \(0.224714\pi\) | |||||||
\(570\) | −1.82286 | + | 5.58210i | −0.0763513 | + | 0.233808i | ||||
\(571\) | −1.38304 | + | 13.1587i | −0.0578783 | + | 0.550675i | 0.926709 | + | 0.375780i | \(0.122625\pi\) |
−0.984587 | + | 0.174895i | \(0.944041\pi\) | |||||||
\(572\) | −1.87526 | + | 8.82241i | −0.0784086 | + | 0.368884i | ||||
\(573\) | 10.3728 | − | 14.2770i | 0.433332 | − | 0.596430i | ||||
\(574\) | −1.30335 | − | 0.946939i | −0.0544008 | − | 0.0395245i | ||||
\(575\) | 10.3099 | − | 5.91182i | 0.429951 | − | 0.246540i | ||||
\(576\) | −0.104528 | + | 0.994522i | −0.00435535 | + | 0.0414384i | ||||
\(577\) | 21.7274 | − | 2.28364i | 0.904523 | − | 0.0950692i | 0.359167 | − | 0.933273i | \(-0.383061\pi\) |
0.545356 | + | 0.838204i | \(0.316394\pi\) | |||||||
\(578\) | 0.288603 | + | 1.35777i | 0.0120043 | + | 0.0564757i | ||||
\(579\) | −18.9866 | − | 8.45339i | −0.789057 | − | 0.351311i | ||||
\(580\) | −2.36598 | + | 1.04921i | −0.0982419 | + | 0.0435662i | ||||
\(581\) | −0.588168 | − | 1.81020i | −0.0244013 | − | 0.0750996i | ||||
\(582\) | −2.89151 | + | 2.60353i | −0.119857 | + | 0.107920i | ||||
\(583\) | −27.0978 | − | 15.6450i | −1.12228 | − | 0.647948i | ||||
\(584\) | 4.89724 | + | 8.48227i | 0.202649 | + | 0.350999i | ||||
\(585\) | −2.88844 | − | 2.60851i | −0.119422 | − | 0.107849i | ||||
\(586\) | −9.32697 | + | 4.15263i | −0.385293 | + | 0.171544i | ||||
\(587\) | −22.1134 | − | 30.4364i | −0.912716 | − | 1.25625i | −0.966231 | − | 0.257679i | \(-0.917042\pi\) |
0.0535143 | − | 0.998567i | \(-0.482958\pi\) | |||||||
\(588\) | − | 5.62162i | − | 0.231832i | ||||||
\(589\) | −8.89493 | + | 11.6048i | −0.366509 | + | 0.478169i | ||||
\(590\) | −5.14205 | + | 11.5034i | −0.211695 | + | 0.473589i | ||||
\(591\) | 0.0165677 | − | 0.0120371i | 0.000681502 | − | 0.000495140i | ||||
\(592\) | −2.84927 | − | 6.39956i | −0.117104 | − | 0.263020i | ||||
\(593\) | 8.31203 | + | 2.70074i | 0.341334 | + | 0.110906i | 0.474668 | − | 0.880165i | \(-0.342568\pi\) |
−0.133334 | + | 0.991071i | \(0.542568\pi\) | |||||||
\(594\) | 2.59101 | + | 4.48775i | 0.106310 | + | 0.184135i | ||||
\(595\) | 9.11719 | − | 6.60345i | 0.373768 | − | 0.270715i | ||||
\(596\) | 3.02071 | + | 3.35484i | 0.123733 | + | 0.137420i | ||||
\(597\) | 3.52521 | − | 1.14541i | 0.144277 | − | 0.0468785i | ||||
\(598\) | 3.07448 | + | 2.76827i | 0.125725 | + | 0.113203i | ||||
\(599\) | −14.4081 | − | 6.41491i | −0.588700 | − | 0.262106i | 0.0906953 | − | 0.995879i | \(-0.471091\pi\) |
−0.679395 | + | 0.733773i | \(0.737758\pi\) | |||||||
\(600\) | −4.03638 | − | 2.95087i | −0.164784 | − | 0.120469i | ||||
\(601\) | 1.73585 | + | 16.5155i | 0.0708067 | + | 0.673681i | 0.971145 | + | 0.238490i | \(0.0766525\pi\) |
−0.900338 | + | 0.435191i | \(0.856681\pi\) | |||||||
\(602\) | −0.0696481 | − | 0.00732031i | −0.00283865 | − | 0.000298354i | ||||
\(603\) | 1.66020 | − | 7.81064i | 0.0676087 | − | 0.318074i | ||||
\(604\) | 13.0688 | + | 9.49506i | 0.531763 | + | 0.386349i | ||||
\(605\) | 17.6791 | + | 30.7259i | 0.718757 | + | 1.24918i | ||||
\(606\) | −19.0873 | − | 4.05712i | −0.775367 | − | 0.164809i | ||||
\(607\) | −7.33641 | − | 0.771088i | −0.297776 | − | 0.0312975i | −0.0455375 | − | 0.998963i | \(-0.514500\pi\) |
−0.252238 | + | 0.967665i | \(0.581167\pi\) | |||||||
\(608\) | −2.61174 | + | 0.274505i | −0.105920 | + | 0.0111326i | ||||
\(609\) | 1.32923 | − | 0.282536i | 0.0538629 | − | 0.0114489i | ||||
\(610\) | 6.94593 | − | 6.23557i | 0.281232 | − | 0.252471i | ||||
\(611\) | 1.12438 | − | 1.24875i | 0.0454876 | − | 0.0505191i | ||||
\(612\) | −4.07826 | + | 1.32511i | −0.164854 | + | 0.0535643i | ||||
\(613\) | −18.8423 | + | 16.9656i | −0.761032 | + | 0.685236i | −0.955276 | − | 0.295717i | \(-0.904441\pi\) |
0.194244 | + | 0.980953i | \(0.437775\pi\) | |||||||
\(614\) | −0.395138 | + | 0.684399i | −0.0159465 | + | 0.0276201i | ||||
\(615\) | −3.05201 | + | 0.316218i | −0.123069 | + | 0.0127511i | ||||
\(616\) | 1.88003 | − | 5.78614i | 0.0757486 | − | 0.233130i | ||||
\(617\) | 4.71767 | + | 10.5961i | 0.189926 | + | 0.426581i | 0.983261 | − | 0.182205i | \(-0.0583235\pi\) |
−0.793334 | + | 0.608786i | \(0.791657\pi\) | |||||||
\(618\) | −1.82877 | − | 2.51709i | −0.0735639 | − | 0.101252i | ||||
\(619\) | −19.9021 | −0.799933 | −0.399967 | − | 0.916530i | \(-0.630978\pi\) | ||||
−0.399967 | + | 0.916530i | \(0.630978\pi\) | |||||||
\(620\) | −7.04197 | − | 10.2670i | −0.282812 | − | 0.412331i | ||||
\(621\) | 2.37691 | 0.0953822 | ||||||||
\(622\) | 8.35054 | + | 11.4935i | 0.334826 | + | 0.460849i | ||||
\(623\) | −4.01452 | − | 9.01676i | −0.160838 | − | 0.361249i | ||||
\(624\) | 0.537857 | − | 1.65535i | 0.0215315 | − | 0.0662672i | ||||
\(625\) | 22.8984 | − | 10.0332i | 0.915935 | − | 0.401327i | ||||
\(626\) | −15.7664 | + | 27.3083i | −0.630154 | + | 1.09146i | ||||
\(627\) | −10.1132 | + | 9.10593i | −0.403881 | + | 0.363656i | ||||
\(628\) | −22.0060 | + | 7.15018i | −0.878135 | + | 0.285323i | ||||
\(629\) | 20.1002 | − | 22.3235i | 0.801446 | − | 0.890096i | ||||
\(630\) | 1.75374 | + | 1.95353i | 0.0698708 | + | 0.0778305i | ||||
\(631\) | 11.2736 | − | 2.39628i | 0.448795 | − | 0.0953942i | 0.0220307 | − | 0.999757i | \(-0.492987\pi\) |
0.426764 | + | 0.904363i | \(0.359654\pi\) | |||||||
\(632\) | 14.7298 | − | 1.54816i | 0.585919 | − | 0.0615826i | ||||
\(633\) | 9.59338 | + | 1.00831i | 0.381303 | + | 0.0400765i | ||||
\(634\) | −5.08725 | − | 1.08133i | −0.202040 | − | 0.0429450i | ||||
\(635\) | 5.18095 | − | 2.98102i | 0.205600 | − | 0.118298i | ||||
\(636\) | 4.88499 | + | 3.54915i | 0.193702 | + | 0.140733i | ||||
\(637\) | −2.03435 | + | 9.57085i | −0.0806038 | + | 0.379211i | ||||
\(638\) | −5.96517 | − | 0.626965i | −0.236163 | − | 0.0248218i | ||||
\(639\) | −0.989389 | − | 9.41341i | −0.0391396 | − | 0.372389i | ||||
\(640\) | 0.468138 | − | 2.18651i | 0.0185048 | − | 0.0864296i | ||||
\(641\) | −10.1847 | − | 4.53450i | −0.402270 | − | 0.179102i | 0.195621 | − | 0.980680i | \(-0.437328\pi\) |
−0.597891 | + | 0.801577i | \(0.703994\pi\) | |||||||
\(642\) | −5.36078 | − | 4.82687i | −0.211573 | − | 0.190501i | ||||
\(643\) | −18.3037 | + | 5.94724i | −0.721829 | + | 0.234536i | −0.646816 | − | 0.762646i | \(-0.723900\pi\) |
−0.0750128 | + | 0.997183i | \(0.523900\pi\) | |||||||
\(644\) | −1.86728 | − | 2.07382i | −0.0735810 | − | 0.0817199i | ||||
\(645\) | −0.108024 | + | 0.0782401i | −0.00425343 | + | 0.00308070i | ||||
\(646\) | −5.63059 | − | 9.75246i | −0.221532 | − | 0.383705i | ||||
\(647\) | −6.92764 | − | 2.25093i | −0.272354 | − | 0.0884931i | 0.169656 | − | 0.985503i | \(-0.445734\pi\) |
−0.442010 | + | 0.897010i | \(0.645734\pi\) | |||||||
\(648\) | −0.406737 | − | 0.913545i | −0.0159781 | − | 0.0358875i | ||||
\(649\) | −23.6241 | + | 17.1639i | −0.927327 | + | 0.673742i | ||||
\(650\) | 5.80410 | + | 6.48456i | 0.227656 | + | 0.254345i | ||||
\(651\) | 2.50473 | + | 6.03788i | 0.0981680 | + | 0.236643i | ||||
\(652\) | − | 18.9555i | − | 0.742354i | ||||||
\(653\) | −14.8153 | − | 20.3915i | −0.579767 | − | 0.797981i | 0.413902 | − | 0.910321i | \(-0.364165\pi\) |
−0.993670 | + | 0.112340i | \(0.964165\pi\) | |||||||
\(654\) | −2.53436 | + | 1.12837i | −0.0991013 | + | 0.0441227i | ||||
\(655\) | 11.3989 | − | 12.6222i | 0.445392 | − | 0.493190i | ||||
\(656\) | −0.686103 | − | 1.18836i | −0.0267878 | − | 0.0463978i | ||||
\(657\) | −8.48227 | − | 4.89724i | −0.330925 | − | 0.191060i | ||||
\(658\) | −0.842318 | + | 0.758426i | −0.0328370 | + | 0.0295665i | ||||
\(659\) | 10.4960 | + | 32.3034i | 0.408867 | + | 1.25836i | 0.917623 | + | 0.397453i | \(0.130106\pi\) |
−0.508756 | + | 0.860911i | \(0.669894\pi\) | |||||||
\(660\) | −4.69734 | − | 10.5925i | −0.182844 | − | 0.412313i | ||||
\(661\) | 19.6354 | + | 8.74226i | 0.763730 | + | 0.340035i | 0.751363 | − | 0.659889i | \(-0.229397\pi\) |
0.0123671 | + | 0.999924i | \(0.496063\pi\) | |||||||
\(662\) | 4.36864 | + | 20.5528i | 0.169792 | + | 0.798808i | ||||
\(663\) | 7.42279 | − | 0.780167i | 0.288277 | − | 0.0302992i | ||||
\(664\) | 0.169461 | − | 1.61231i | 0.00657636 | − | 0.0625699i | ||||
\(665\) | −4.06055 | + | 5.57153i | −0.157462 | + | 0.216055i | ||||
\(666\) | 5.66732 | + | 4.11755i | 0.219604 | + | 0.159552i | ||||
\(667\) | −1.61712 | + | 2.22577i | −0.0626151 | + | 0.0861823i | ||||
\(668\) | 2.45890 | − | 11.5682i | 0.0951378 | − | 0.447588i | ||||
\(669\) | 2.62508 | − | 24.9760i | 0.101492 | − | 0.965627i | ||||
\(670\) | −5.54269 | + | 16.9732i | −0.214133 | + | 0.655733i | ||||
\(671\) | 21.1591 | − | 4.49751i | 0.816838 | − | 0.173624i | ||||
\(672\) | −0.477526 | + | 1.07254i | −0.0184210 | + | 0.0413742i | ||||
\(673\) | −6.58600 | − | 5.93006i | −0.253872 | − | 0.228587i | 0.532361 | − | 0.846517i | \(-0.321305\pi\) |
−0.786233 | + | 0.617930i | \(0.787971\pi\) | |||||||
\(674\) | −2.33892 | − | 7.19847i | −0.0900920 | − | 0.277275i | ||||
\(675\) | 4.97104 | + | 0.537343i | 0.191336 | + | 0.0206823i | ||||
\(676\) | 4.98526 | − | 8.63472i | 0.191741 | − | 0.332105i | ||||
\(677\) | −18.9210 | + | 10.9241i | −0.727194 | + | 0.419846i | −0.817395 | − | 0.576078i | \(-0.804583\pi\) |
0.0902005 | + | 0.995924i | \(0.471249\pi\) | |||||||
\(678\) | 13.4156 | + | 4.35901i | 0.515225 | + | 0.167407i | ||||
\(679\) | −4.17317 | + | 1.85802i | −0.160152 | + | 0.0713041i | ||||
\(680\) | 9.38197 | − | 1.97971i | 0.359782 | − | 0.0759182i | ||||
\(681\) | −1.19933 | −0.0459585 | ||||||||
\(682\) | −2.27898 | − | 28.7621i | −0.0872665 | − | 1.10136i | ||||
\(683\) | 8.19680i | 0.313642i | 0.987627 | + | 0.156821i | \(0.0501245\pi\) | ||||
−0.987627 | + | 0.156821i | \(0.949875\pi\) | |||||||
\(684\) | 2.12458 | − | 1.54360i | 0.0812353 | − | 0.0590209i | ||||
\(685\) | −0.0235497 | + | 15.9290i | −0.000899789 | + | 0.608616i | ||||
\(686\) | 4.57912 | − | 14.0931i | 0.174831 | − | 0.538076i | ||||
\(687\) | −17.1308 | + | 9.89044i | −0.653579 | + | 0.377344i | ||||
\(688\) | −0.0516585 | − | 0.0298250i | −0.00196946 | − | 0.00113707i | ||||
\(689\) | −7.03236 | − | 7.81023i | −0.267912 | − | 0.297546i | ||||
\(690\) | −5.28500 | − | 0.563377i | −0.201196 | − | 0.0214474i | ||||
\(691\) | −28.8218 | + | 32.0099i | −1.09643 | + | 1.21771i | −0.122121 | + | 0.992515i | \(0.538970\pi\) |
−0.974313 | + | 0.225198i | \(0.927697\pi\) | |||||||
\(692\) | −9.83790 | + | 22.0963i | −0.373981 | + | 0.839975i | ||||
\(693\) | 1.26492 | + | 5.95096i | 0.0480502 | + | 0.226058i | ||||
\(694\) | −0.315511 | − | 3.00189i | −0.0119766 | − | 0.113950i | ||||
\(695\) | 10.2756 | − | 17.7372i | 0.389774 | − | 0.672810i | ||||
\(696\) | 1.13218 | + | 0.240652i | 0.0429151 | + | 0.00912188i | ||||
\(697\) | 3.45865 | − | 4.76042i | 0.131006 | − | 0.180314i | ||||
\(698\) | −19.1880 | + | 26.4100i | −0.726275 | + | 0.999632i | ||||
\(699\) | 12.2877 | + | 2.61184i | 0.464765 | + | 0.0987889i | ||||
\(700\) | −3.43637 | − | 4.75929i | −0.129883 | − | 0.179884i | ||||
\(701\) | −3.87924 | − | 36.9085i | −0.146517 | − | 1.39402i | −0.782662 | − | 0.622447i | \(-0.786139\pi\) |
0.636145 | − | 0.771570i | \(-0.280528\pi\) | |||||||
\(702\) | 0.361879 | + | 1.70251i | 0.0136582 | + | 0.0642570i | ||||
\(703\) | −7.48253 | + | 16.8060i | −0.282209 | + | 0.633852i | ||||
\(704\) | 3.46744 | − | 3.85099i | 0.130684 | − | 0.145140i | ||||
\(705\) | −0.228825 | + | 2.14659i | −0.00861805 | + | 0.0808454i | ||||
\(706\) | −7.61178 | − | 8.45374i | −0.286473 | − | 0.318161i | ||||
\(707\) | −19.8406 | − | 11.4550i | −0.746181 | − | 0.430808i | ||||
\(708\) | 4.88011 | − | 2.81753i | 0.183406 | − | 0.105889i | ||||
\(709\) | −11.5905 | + | 35.6718i | −0.435289 | + | 1.33968i | 0.457501 | + | 0.889209i | \(0.348744\pi\) |
−0.892790 | + | 0.450473i | \(0.851256\pi\) | |||||||
\(710\) | −0.0312906 | + | 21.1649i | −0.00117432 | + | 0.794306i | ||||
\(711\) | −11.9823 | + | 8.70563i | −0.449371 | + | 0.326487i | ||||
\(712\) | − | 8.40690i | − | 0.315062i | ||||||
\(713\) | −11.9479 | − | 5.69109i | −0.447453 | − | 0.213133i | ||||
\(714\) | −5.03446 | −0.188410 | ||||||||
\(715\) | 4.16404 | + | 19.7337i | 0.155726 | + | 0.737998i | ||||
\(716\) | 5.59539 | − | 2.49123i | 0.209109 | − | 0.0931015i | ||||
\(717\) | 1.83197 | + | 0.595242i | 0.0684160 | + | 0.0222297i | ||||
\(718\) | −11.7494 | + | 6.78351i | −0.438483 | + | 0.253158i | ||||
\(719\) | −12.7023 | + | 22.0011i | −0.473717 | + | 0.820503i | −0.999547 | − | 0.0300870i | \(-0.990422\pi\) |
0.525830 | + | 0.850590i | \(0.323755\pi\) | |||||||
\(720\) | 0.687838 | + | 2.12765i | 0.0256342 | + | 0.0792927i | ||||
\(721\) | −1.12877 | − | 3.47401i | −0.0420377 | − | 0.129379i | ||||
\(722\) | −8.99464 | − | 8.09881i | −0.334746 | − | 0.301406i | ||||
\(723\) | −10.0435 | + | 22.5582i | −0.373523 | + | 0.838947i | ||||
\(724\) | 23.0939 | − | 4.90876i | 0.858278 | − | 0.182433i | ||||
\(725\) | −3.88520 | + | 4.28938i | −0.144293 | + | 0.159303i | ||||
\(726\) | 1.65712 | − | 15.7664i | 0.0615014 | − | 0.585146i | ||||
\(727\) | 9.22577 | − | 43.4038i | 0.342165 | − | 1.60976i | −0.384743 | − | 0.923024i | \(-0.625710\pi\) |
0.726908 | − | 0.686735i | \(-0.240957\pi\) | |||||||
\(728\) | 1.20112 | − | 1.65320i | 0.0445166 | − | 0.0612718i | ||||
\(729\) | 0.809017 | + | 0.587785i | 0.0299636 | + | 0.0217698i | ||||
\(730\) | 17.6993 | + | 12.8993i | 0.655082 | + | 0.477426i | ||||
\(731\) | 0.0267371 | − | 0.254386i | 0.000988907 | − | 0.00940882i | ||||
\(732\) | −4.15154 | + | 0.436344i | −0.153445 | + | 0.0161277i | ||||
\(733\) | −0.725606 | − | 3.41371i | −0.0268009 | − | 0.126088i | 0.962713 | − | 0.270523i | \(-0.0871968\pi\) |
−0.989514 | + | 0.144435i | \(0.953863\pi\) | |||||||
\(734\) | −31.6506 | − | 14.0917i | −1.16824 | − | 0.520136i | ||||
\(735\) | −5.09583 | − | 11.4911i | −0.187963 | − | 0.423856i | ||||
\(736\) | −0.734507 | − | 2.26058i | −0.0270743 | − | 0.0833260i | ||||
\(737\) | −30.7506 | + | 27.6880i | −1.13271 | + | 1.01990i | ||||
\(738\) | 1.18836 | + | 0.686103i | 0.0437443 | + | 0.0252558i | ||||
\(739\) | −20.5919 | − | 35.6663i | −0.757486 | − | 1.31201i | −0.944129 | − | 0.329577i | \(-0.893094\pi\) |
0.186642 | − | 0.982428i | \(-0.440240\pi\) | |||||||
\(740\) | −11.6252 | − | 10.4985i | −0.427350 | − | 0.385933i | ||||
\(741\) | −4.17570 | + | 1.85914i | −0.153398 | + | 0.0682973i | ||||
\(742\) | 4.16686 | + | 5.73519i | 0.152970 | + | 0.210545i | ||||
\(743\) | 48.5141i | 1.77981i | 0.456145 | + | 0.889905i | \(0.349230\pi\) | ||||
−0.456145 | + | 0.889905i | \(0.650770\pi\) | |||||||
\(744\) | −0.142795 | + | 5.56593i | −0.00523510 | + | 0.204057i | ||||
\(745\) | 9.21567 | + | 4.11942i | 0.337636 | + | 0.150924i | ||||
\(746\) | −15.7126 | + | 11.4159i | −0.575279 | + | 0.417965i | ||||
\(747\) | 0.659399 | + | 1.48103i | 0.0241262 | + | 0.0541882i | ||||
\(748\) | 21.1336 | + | 6.86672i | 0.772721 | + | 0.251072i | ||||
\(749\) | −4.23456 | − | 7.33448i | −0.154728 | − | 0.267996i | ||||
\(750\) | −10.9256 | − | 2.37300i | −0.398947 | − | 0.0866499i | ||||
\(751\) | −29.9481 | − | 33.2607i | −1.09282 | − | 1.21370i | −0.975359 | − | 0.220622i | \(-0.929191\pi\) |
−0.117461 | − | 0.993078i | \(-0.537475\pi\) | |||||||
\(752\) | −0.918173 | + | 0.298333i | −0.0334823 | + | 0.0108791i | ||||
\(753\) | 3.75668 | + | 3.38253i | 0.136901 | + | 0.123266i | ||||
\(754\) | −1.84045 | − | 0.819423i | −0.0670254 | − | 0.0298416i | ||||
\(755\) | 35.3209 | + | 7.56228i | 1.28546 | + | 0.275220i | ||||
\(756\) | −0.122721 | − | 1.16761i | −0.00446332 | − | 0.0424656i | ||||
\(757\) | 14.9022 | + | 1.56629i | 0.541631 | + | 0.0569277i | 0.371394 | − | 0.928475i | \(-0.378880\pi\) |
0.170237 | + | 0.985403i | \(0.445547\pi\) | |||||||
\(758\) | 5.35282 | − | 25.1830i | 0.194423 | − | 0.914689i | ||||
\(759\) | −9.96482 | − | 7.23987i | −0.361700 | − | 0.262790i | ||||
\(760\) | −5.08980 | + | 2.92857i | −0.184627 | + | 0.106231i | ||||
\(761\) | −28.8125 | − | 6.12429i | −1.04445 | − | 0.222005i | −0.346427 | − | 0.938077i | \(-0.612605\pi\) |
−0.698027 | + | 0.716072i | \(0.745938\pi\) | |||||||
\(762\) | −2.65851 | − | 0.279420i | −0.0963075 | − | 0.0101223i | ||||
\(763\) | −3.23919 | + | 0.340453i | −0.117267 | + | 0.0123252i | ||||
\(764\) | 17.2617 | − | 3.66909i | 0.624507 | − | 0.132743i | ||||
\(765\) | −7.13517 | + | 6.40546i | −0.257973 | + | 0.231590i | ||||
\(766\) | −20.8459 | + | 23.1517i | −0.753192 | + | 0.836505i | ||||
\(767\) | −9.32803 | + | 3.03086i | −0.336816 | + | 0.109438i | ||||
\(768\) | −0.743145 | + | 0.669131i | −0.0268159 | + | 0.0241452i | ||||
\(769\) | 14.6087 | − | 25.3031i | 0.526805 | − | 0.912452i | −0.472708 | − | 0.881219i | \(-0.656723\pi\) |
0.999512 | − | 0.0312329i | \(-0.00994336\pi\) | |||||||
\(770\) | −1.40200 | − | 13.5316i | −0.0505247 | − | 0.487645i | ||||
\(771\) | 0.218687 | − | 0.673049i | 0.00787581 | − | 0.0242393i | ||||
\(772\) | −8.45339 | − | 18.9866i | −0.304244 | − | 0.683343i | ||||
\(773\) | −27.9613 | − | 38.4854i | −1.00570 | − | 1.38422i | −0.921764 | − | 0.387751i | \(-0.873252\pi\) |
−0.0839322 | − | 0.996471i | \(-0.526748\pi\) | |||||||
\(774\) | 0.0596501 | 0.00214408 | ||||||||
\(775\) | −23.7011 | − | 14.6033i | −0.851370 | − | 0.524566i | ||||
\(776\) | −3.89092 | −0.139676 | ||||||||
\(777\) | 4.83418 | + | 6.65368i | 0.173425 | + | 0.238699i | ||||
\(778\) | 1.52313 | + | 3.42101i | 0.0546069 | + | 0.122649i | ||||
\(779\) | −1.11357 | + | 3.42721i | −0.0398977 | + | 0.122792i | ||||
\(780\) | −0.401099 | − | 3.87125i | −0.0143616 | − | 0.138613i | ||||
\(781\) | −24.5246 | + | 42.4778i | −0.877557 | + | 1.51997i | ||||
\(782\) | 7.57452 | − | 6.82013i | 0.270864 | − | 0.243887i | ||||
\(783\) | −1.10082 | + | 0.357678i | −0.0393401 | + | 0.0127824i | ||||
\(784\) | 3.76160 | − | 4.17768i | 0.134343 | − | 0.149203i | ||||
\(785\) | −38.5009 | + | 34.5634i | −1.37415 | + | 1.23362i | ||||
\(786\) | −7.43978 | + | 1.58137i | −0.265368 | + | 0.0564057i | ||||
\(787\) | −50.1129 | + | 5.26708i | −1.78633 | + | 0.187751i | −0.939140 | − | 0.343535i | \(-0.888376\pi\) |
−0.847193 | + | 0.531286i | \(0.821709\pi\) | |||||||
\(788\) | 0.0203666 | + | 0.00214061i | 0.000725529 | + | 7.62562e-5i | ||||
\(789\) | −9.79169 | − | 2.08129i | −0.348593 | − | 0.0740958i | ||||
\(790\) | 28.7057 | − | 16.5167i | 1.02130 | − | 0.587637i | ||||
\(791\) | 13.3982 | + | 9.73438i | 0.476386 | + | 0.346115i | ||||
\(792\) | −1.07740 | + | 5.06877i | −0.0382838 | + | 0.180111i | ||||
\(793\) | 7.22592 | + | 0.759475i | 0.256600 | + | 0.0269697i | ||||
\(794\) | −0.807471 | − | 7.68257i | −0.0286561 | − | 0.272644i | ||||
\(795\) | 13.2026 | + | 2.82670i | 0.468246 | + | 0.100253i | ||||
\(796\) | 3.38617 | + | 1.50762i | 0.120020 | + | 0.0534362i | ||||
\(797\) | 13.8886 | + | 12.5053i | 0.491959 | + | 0.442961i | 0.877392 | − | 0.479774i | \(-0.159281\pi\) |
−0.385433 | + | 0.922736i | \(0.625948\pi\) | |||||||
\(798\) | 2.93228 | − | 0.952756i | 0.103802 | − | 0.0337272i | ||||
\(799\) | −2.77011 | − | 3.07652i | −0.0979996 | − | 0.108840i | ||||
\(800\) | −1.02509 | − | 4.89379i | −0.0362425 | − | 0.173022i | ||||
\(801\) | 4.20345 | + | 7.28059i | 0.148522 | + | 0.257247i | ||||
\(802\) | 22.9780 | + | 7.46599i | 0.811380 | + | 0.263633i | ||||
\(803\) | 20.6440 | + | 46.3671i | 0.728510 | + | 1.63626i | ||||
\(804\) | 6.46011 | − | 4.69354i | 0.227830 | − | 0.165528i | ||||
\(805\) | −5.69674 | − | 2.54645i | −0.200784 | − | 0.0897505i | ||||
\(806\) | 2.25730 | − | 9.42436i | 0.0795101 | − | 0.331959i | ||||
\(807\) | 6.51940i | 0.229494i | ||||||||
\(808\) | −11.4699 | − | 15.7869i | −0.403508 | − | 0.555381i | ||||
\(809\) | −11.1879 | + | 4.98118i | −0.393346 | + | 0.175129i | −0.593872 | − | 0.804559i | \(-0.702402\pi\) |
0.200526 | + | 0.979688i | \(0.435735\pi\) | |||||||
\(810\) | −1.65951 | − | 1.49868i | −0.0583092 | − | 0.0526581i | ||||
\(811\) | 12.3917 | + | 21.4630i | 0.435130 | + | 0.753668i | 0.997306 | − | 0.0733497i | \(-0.0233689\pi\) |
−0.562176 | + | 0.827018i | \(0.690036\pi\) | |||||||
\(812\) | 1.17686 | + | 0.679461i | 0.0412997 | + | 0.0238444i | ||||
\(813\) | 9.52276 | − | 8.57433i | 0.333978 | − | 0.300715i | ||||
\(814\) | −11.2176 | − | 34.5243i | −0.393178 | − | 1.21008i | ||||
\(815\) | −17.1826 | − | 38.7468i | −0.601880 | − | 1.35724i | ||||
\(816\) | −3.91741 | − | 1.74414i | −0.137137 | − | 0.0610572i | ||||
\(817\) | 0.0325690 | + | 0.153225i | 0.00113945 | + | 0.00536068i | ||||
\(818\) | 17.8194 | − | 1.87290i | 0.623042 | − | 0.0654843i | ||||
\(819\) | −0.213601 | + | 2.03228i | −0.00746382 | + | 0.0710135i | ||||
\(820\) | −2.47967 | − | 1.80720i | −0.0865940 | − | 0.0631100i | ||||
\(821\) | 15.4266 | + | 11.2081i | 0.538391 | + | 0.391164i | 0.823487 | − | 0.567335i | \(-0.192026\pi\) |
−0.285096 | + | 0.958499i | \(0.592026\pi\) | |||||||
\(822\) | 4.18719 | − | 5.76317i | 0.146045 | − | 0.201014i | ||||
\(823\) | −0.685063 | + | 3.22297i | −0.0238798 | + | 0.112346i | −0.988473 | − | 0.151396i | \(-0.951623\pi\) |
0.964593 | + | 0.263741i | \(0.0849566\pi\) | |||||||
\(824\) | 0.325218 | − | 3.09424i | 0.0113295 | − | 0.107793i | ||||
\(825\) | −19.2036 | − | 17.3941i | −0.668583 | − | 0.605584i | ||||
\(826\) | 6.47124 | − | 1.37550i | 0.225163 | − | 0.0478599i | ||||
\(827\) | −10.3921 | + | 23.3410i | −0.361369 | + | 0.811647i | 0.637773 | + | 0.770224i | \(0.279856\pi\) |
−0.999142 | + | 0.0414229i | \(0.986811\pi\) | |||||||
\(828\) | 1.76639 | + | 1.59047i | 0.0613863 | + | 0.0552725i | ||||
\(829\) | −13.0761 | − | 40.2440i | −0.454150 | − | 1.39773i | −0.872130 | − | 0.489274i | \(-0.837262\pi\) |
0.417980 | − | 0.908456i | \(-0.362738\pi\) | |||||||
\(830\) | −1.11512 | − | 3.44933i | −0.0387064 | − | 0.119728i | ||||
\(831\) | −2.42475 | + | 4.19979i | −0.0841137 | + | 0.145689i | ||||
\(832\) | 1.50735 | − | 0.870271i | 0.0522581 | − | 0.0301712i | ||||
\(833\) | 22.9264 | + | 7.44925i | 0.794354 | + | 0.258101i | ||||
\(834\) | −8.37473 | + | 3.72867i | −0.289993 | + | 0.129113i | ||||
\(835\) | −5.46003 | − | 25.8755i | −0.188952 | − | 0.895457i | ||||
\(836\) | −13.6086 | −0.470663 | ||||||||
\(837\) | −2.65930 | − | 4.89164i | −0.0919189 | − | 0.169080i | ||||
\(838\) | − | 31.6739i | − | 1.09416i | ||||||
\(839\) | −24.6063 | + | 17.8775i | −0.849505 | + | 0.617201i | −0.925009 | − | 0.379944i | \(-0.875943\pi\) |
0.0755048 | + | 0.997145i | \(0.475943\pi\) | |||||||
\(840\) | −0.00388120 | + | 2.62524i | −0.000133914 | + | 0.0905793i | ||||
\(841\) | −8.54749 | + | 26.3065i | −0.294741 | + | 0.907120i | ||||
\(842\) | −0.583966 | + | 0.337153i | −0.0201248 | + | 0.0116191i | ||||
\(843\) | 8.31270 | + | 4.79934i | 0.286305 | + | 0.165298i | ||||
\(844\) | 6.45459 | + | 7.16854i | 0.222176 | + | 0.246751i | ||||
\(845\) | 2.36321 | − | 22.1691i | 0.0812970 | − | 0.762642i | ||||
\(846\) | 0.645995 | − | 0.717450i | 0.0222098 | − | 0.0246665i | ||||
\(847\) | 7.57035 | − | 17.0033i | 0.260120 | − | 0.584240i | ||||
\(848\) | 1.25541 | + | 5.90623i | 0.0431109 | + | 0.202821i | ||||
\(849\) | −2.52298 | − | 24.0045i | −0.0865883 | − | 0.823833i | ||||
\(850\) | 17.3831 | − | 12.5512i | 0.596234 | − | 0.430502i | ||||
\(851\) | −16.2869 | − | 3.46188i | −0.558307 | − | 0.118672i | ||||
\(852\) | 5.56354 | − | 7.65756i | 0.190604 | − | 0.262344i | ||||
\(853\) | 28.5933 | − | 39.3553i | 0.979016 | − | 1.34750i | 0.0416581 | − | 0.999132i | \(-0.486736\pi\) |
0.937358 | − | 0.348368i | \(-0.113264\pi\) | |||||||
\(854\) | −4.79383 | − | 1.01896i | −0.164042 | − | 0.0348681i | ||||
\(855\) | 2.94361 | − | 5.08112i | 0.100669 | − | 0.173771i | ||||
\(856\) | −0.754031 | − | 7.17412i | −0.0257722 | − | 0.245207i | ||||
\(857\) | −11.9149 | − | 56.0550i | −0.407004 | − | 1.91480i | −0.403889 | − | 0.914808i | \(-0.632342\pi\) |
−0.00311539 | − | 0.999995i | \(-0.500992\pi\) | |||||||
\(858\) | 3.66857 | − | 8.23973i | 0.125243 | − | 0.281300i | ||||
\(859\) | 3.03945 | − | 3.37565i | 0.103705 | − | 0.115176i | −0.689058 | − | 0.724706i | \(-0.741975\pi\) |
0.792763 | + | 0.609531i | \(0.208642\pi\) | |||||||
\(860\) | −0.132630 | − | 0.0141383i | −0.00452265 | − | 0.000482111i | ||||
\(861\) | 1.07799 | + | 1.19723i | 0.0367377 | + | 0.0408014i | ||||
\(862\) | 0.377392 | + | 0.217888i | 0.0128540 | + | 0.00742128i | ||||
\(863\) | 7.13184 | − | 4.11757i | 0.242771 | − | 0.140164i | −0.373679 | − | 0.927558i | \(-0.621904\pi\) |
0.616450 | + | 0.787394i | \(0.288570\pi\) | |||||||
\(864\) | 0.309017 | − | 0.951057i | 0.0105130 | − | 0.0323556i | ||||
\(865\) | −0.0799597 | + | 54.0846i | −0.00271871 | + | 1.83893i | ||||
\(866\) | −17.5378 | + | 12.7419i | −0.595958 | + | 0.432989i | ||||
\(867\) | − | 1.38810i | − | 0.0471424i | ||||||
\(868\) | −2.17876 | + | 6.16301i | −0.0739519 | + | 0.209186i | ||||
\(869\) | 76.7503 | 2.60358 | ||||||||
\(870\) | 2.53242 | − | 0.534370i | 0.0858571 | − | 0.0181169i | ||||
\(871\) | −12.6969 | + | 5.65301i | −0.430217 | + | 0.191545i | ||||
\(872\) | −2.63842 | − | 0.857276i | −0.0893483 | − | 0.0290310i | ||||
\(873\) | 3.36963 | − | 1.94546i | 0.114045 | − | 0.0658438i | ||||
\(874\) | −3.12103 | + | 5.40579i | −0.105571 | + | 0.182854i | ||||
\(875\) | −11.3384 | − | 6.61346i | −0.383308 | − | 0.223576i | ||||
\(876\) | −3.02666 | − | 9.31511i | −0.102261 | − | 0.314728i | ||||
\(877\) | 2.02424 | + | 1.82263i | 0.0683536 | + | 0.0615459i | 0.702599 | − | 0.711586i | \(-0.252023\pi\) |
−0.634246 | + | 0.773131i | \(0.718689\pi\) | |||||||
\(878\) | 1.51167 | − | 3.39526i | 0.0510162 | − | 0.114584i | ||||
\(879\) | 9.98653 | − | 2.12270i | 0.336837 | − | 0.0715970i | ||||
\(880\) | 3.59697 | − | 11.0149i | 0.121254 | − | 0.371312i | ||||
\(881\) | −2.25919 | + | 21.4947i | −0.0761139 | + | 0.724176i | 0.888208 | + | 0.459442i | \(0.151951\pi\) |
−0.964322 | + | 0.264734i | \(0.914716\pi\) | |||||||
\(882\) | −1.16880 | + | 5.49878i | −0.0393556 | + | 0.185153i | ||||
\(883\) | −20.7134 | + | 28.5096i | −0.697063 | + | 0.959425i | 0.302916 | + | 0.953017i | \(0.402040\pi\) |
−0.999979 | + | 0.00640780i | \(0.997960\pi\) | |||||||
\(884\) | 6.03824 | + | 4.38704i | 0.203088 | + | 0.147552i | ||||
\(885\) | 7.42139 | − | 10.1830i | 0.249467 | − | 0.342297i | ||||
\(886\) | −1.01303 | + | 9.63837i | −0.0340335 | + | 0.323807i | ||||
\(887\) | 49.7188 | − | 5.22565i | 1.66939 | − | 0.175460i | 0.777867 | − | 0.628429i | \(-0.216302\pi\) |
0.891526 | + | 0.452969i | \(0.149635\pi\) | |||||||
\(888\) | 1.45646 | + | 6.85211i | 0.0488757 | + | 0.229942i | ||||
\(889\) | −2.86707 | − | 1.27650i | −0.0961583 | − | 0.0428124i | ||||
\(890\) | −7.62060 | − | 17.1845i | −0.255443 | − | 0.576025i | ||||
\(891\) | −1.60133 | − | 4.92839i | −0.0536466 | − | 0.165107i | ||||
\(892\) | 18.6630 | − | 16.8042i | 0.624884 | − | 0.562648i | ||||
\(893\) | 2.19566 | + | 1.26766i | 0.0734748 | + | 0.0424207i | ||||
\(894\) | −2.25719 | − | 3.90957i | −0.0754917 | − | 0.130756i | ||||
\(895\) | 9.17927 | − | 10.1643i | 0.306829 | − | 0.339757i | ||||
\(896\) | −1.07254 | + | 0.477526i | −0.0358311 | + | 0.0159530i | ||||
\(897\) | −2.43174 | − | 3.34700i | −0.0811933 | − | 0.111753i | ||||
\(898\) | − | 3.63496i | − | 0.121300i | ||||||
\(899\) | 6.38984 | + | 0.837790i | 0.213113 | + | 0.0279419i | ||||
\(900\) | 3.33465 | + | 3.72560i | 0.111155 | + | 0.124187i | ||||
\(901\) | −20.9475 | + | 15.2192i | −0.697862 | + | 0.507026i | ||||
\(902\) | −2.89222 | − | 6.49603i | −0.0963003 | − | 0.216294i | ||||
\(903\) | 0.0666042 | + | 0.0216410i | 0.00221645 | + | 0.000720168i | ||||
\(904\) | 7.05302 | + | 12.2162i | 0.234580 | + | 0.406305i | ||||
\(905\) | 42.7564 | − | 30.9679i | 1.42127 | − | 1.02941i | ||||
\(906\) | −10.8091 | − | 12.0047i | −0.359109 | − | 0.398831i | ||||
\(907\) | −31.5069 | + | 10.2372i | −1.04617 | + | 0.339921i | −0.781165 | − | 0.624325i | \(-0.785374\pi\) |
−0.265006 | + | 0.964247i | \(0.585374\pi\) | |||||||
\(908\) | −0.891278 | − | 0.802511i | −0.0295781 | − | 0.0266322i | ||||
\(909\) | 17.8266 | + | 7.93693i | 0.591272 | + | 0.263251i | ||||
\(910\) | 0.956626 | − | 4.46808i | 0.0317118 | − | 0.148115i | ||||
\(911\) | 5.42652 | + | 51.6299i | 0.179789 | + | 1.71057i | 0.597395 | + | 0.801947i | \(0.296202\pi\) |
−0.417607 | + | 0.908628i | \(0.637131\pi\) | |||||||
\(912\) | 2.61174 | + | 0.274505i | 0.0864833 | + | 0.00908976i | ||||
\(913\) | 1.74668 | − | 8.21747i | 0.0578066 | − | 0.271958i | ||||
\(914\) | −27.7960 | − | 20.1950i | −0.919410 | − | 0.667991i | ||||
\(915\) | −8.09059 | + | 4.65517i | −0.267467 | + | 0.153895i | ||||
\(916\) | −19.3486 | − | 4.11268i | −0.639297 | − | 0.135887i | ||||
\(917\) | −8.88084 | − | 0.933414i | −0.293271 | − | 0.0308240i | ||||
\(918\) | 4.26464 | − | 0.448232i | 0.140754 | − | 0.0147939i | ||||
\(919\) | 41.0530 | − | 8.72609i | 1.35421 | − | 0.287847i | 0.527063 | − | 0.849826i | \(-0.323293\pi\) |
0.827151 | + | 0.561979i | \(0.189960\pi\) | |||||||
\(920\) | −3.55055 | − | 3.95502i | −0.117058 | − | 0.130393i | ||||
\(921\) | 0.528798 | − | 0.587289i | 0.0174245 | − | 0.0193518i | ||||
\(922\) | 9.88785 | − | 3.21276i | 0.325639 | − | 0.105807i | ||||
\(923\) | −12.2431 | + | 11.0237i | −0.402986 | + | 0.362850i | ||||
\(924\) | −3.04195 | + | 5.26882i | −0.100073 | + | 0.173331i | ||||
\(925\) | −33.2795 | − | 10.9221i | −1.09422 | − | 0.359115i | ||||
\(926\) | 2.81387 | − | 8.66019i | 0.0924694 | − | 0.284592i | ||||
\(927\) | 1.26547 | + | 2.84230i | 0.0415637 | + | 0.0933535i | ||||
\(928\) | 0.680345 | + | 0.936414i | 0.0223334 | + | 0.0307393i | ||||
\(929\) | −26.9712 | −0.884898 | −0.442449 | − | 0.896794i | \(-0.645890\pi\) | ||||
−0.442449 | + | 0.896794i | \(0.645890\pi\) | |||||||
\(930\) | 4.75346 | + | 11.5067i | 0.155872 | + | 0.377320i | ||||
\(931\) | −14.7631 | −0.483840 | ||||||||
\(932\) | 7.38391 | + | 10.1631i | 0.241868 | + | 0.332903i | ||||
\(933\) | −5.77842 | − | 12.9785i | −0.189177 | − | 0.424898i | ||||
\(934\) | 6.37220 | − | 19.6116i | 0.208505 | − | 0.641712i | ||||
\(935\) | 49.4235 | − | 5.12075i | 1.61632 | − | 0.167467i | ||||
\(936\) | −0.870271 | + | 1.50735i | −0.0284457 | + | 0.0492694i | ||||
\(937\) | −28.5586 | + | 25.7143i | −0.932969 | + | 0.840049i | −0.987364 | − | 0.158470i | \(-0.949344\pi\) |
0.0543944 | + | 0.998520i | \(0.482677\pi\) | |||||||
\(938\) | 8.91605 | − | 2.89700i | 0.291119 | − | 0.0945904i | ||||
\(939\) | 21.0996 | − | 23.4335i | 0.688560 | − | 0.764723i | ||||
\(940\) | −1.60640 | + | 1.44212i | −0.0523950 | + | 0.0470366i | ||||
\(941\) | −21.7355 | + | 4.62002i | −0.708557 | + | 0.150608i | −0.548073 | − | 0.836430i | \(-0.684639\pi\) |
−0.160483 | + | 0.987039i | \(0.551305\pi\) | |||||||
\(942\) | 23.0117 | − | 2.41863i | 0.749762 | − | 0.0788032i | ||||
\(943\) | −3.24375 | − | 0.340931i | −0.105631 | − | 0.0111023i | ||||
\(944\) | 5.51193 | + | 1.17160i | 0.179398 | + | 0.0381322i | ||||
\(945\) | −1.30926 | − | 2.27546i | −0.0425902 | − | 0.0740208i | ||||
\(946\) | −0.250073 | − | 0.181689i | −0.00813058 | − | 0.00590721i | ||||
\(947\) | −6.06375 | + | 28.5277i | −0.197045 | + | 0.927026i | 0.762830 | + | 0.646599i | \(0.223809\pi\) |
−0.959875 | + | 0.280427i | \(0.909524\pi\) | |||||||
\(948\) | −14.7298 | − | 1.54816i | −0.478401 | − | 0.0502820i | ||||
\(949\) | 1.78197 | + | 16.9543i | 0.0578452 | + | 0.550361i | ||||
\(950\) | −7.74936 | + | 10.6000i | −0.251422 | + | 0.343910i | ||||
\(951\) | 4.75126 | + | 2.11540i | 0.154070 | + | 0.0685964i | ||||
\(952\) | −3.74133 | − | 3.36871i | −0.121257 | − | 0.109180i | ||||
\(953\) | 39.7756 | − | 12.9239i | 1.28846 | − | 0.418646i | 0.416907 | − | 0.908949i | \(-0.363114\pi\) |
0.871552 | + | 0.490304i | \(0.163114\pi\) | |||||||
\(954\) | −4.04033 | − | 4.48724i | −0.130810 | − | 0.145280i | ||||
\(955\) | 31.9586 | − | 23.1472i | 1.03416 | − | 0.749025i | ||||
\(956\) | 0.963121 | + | 1.66817i | 0.0311496 | + | 0.0539526i | ||||
\(957\) | 5.70447 | + | 1.85349i | 0.184399 | + | 0.0599149i | ||||
\(958\) | 10.7545 | + | 24.1549i | 0.347461 | + | 0.780409i | ||||
\(959\) | 6.76622 | − | 4.91594i | 0.218493 | − | 0.158744i | ||||
\(960\) | −0.912510 | + | 2.04140i | −0.0294511 | + | 0.0658860i | ||||
\(961\) | 1.65526 | + | 30.9558i | 0.0533954 | + | 0.998573i | ||||
\(962\) | − | 12.1928i | − | 0.393113i | ||||||
\(963\) | 4.24007 | + | 5.83596i | 0.136634 | + | 0.188061i | ||||
\(964\) | −22.5582 | + | 10.0435i | −0.726550 | + | 0.323481i | ||||
\(965\) | −34.4903 | − | 31.1477i | −1.11028 | − | 1.00268i | ||||
\(966\) | 1.39530 | + | 2.41673i | 0.0448930 | + | 0.0777570i | ||||
\(967\) | 2.99254 | + | 1.72774i | 0.0962335 | + | 0.0555605i | 0.547344 | − | 0.836907i | \(-0.315639\pi\) |
−0.451111 | + | 0.892468i | \(0.648972\pi\) | |||||||
\(968\) | 11.7813 | − | 10.6079i | 0.378664 | − | 0.340951i | ||||
\(969\) | 3.47989 | + | 10.7100i | 0.111790 | + | 0.344055i | ||||
\(970\) | −7.95339 | + | 3.52700i | −0.255368 | + | 0.113245i | ||||
\(971\) | −9.32891 | − | 4.15350i | −0.299379 | − | 0.133292i | 0.251550 | − | 0.967844i | \(-0.419060\pi\) |
−0.550929 | + | 0.834552i | \(0.685726\pi\) | |||||||
\(972\) | 0.207912 | + | 0.978148i | 0.00666877 | + | 0.0313741i | ||||
\(973\) | −10.7038 | + | 1.12502i | −0.343149 | + | 0.0360664i | ||||
\(974\) | 0.946666 | − | 9.00693i | 0.0303331 | − | 0.288601i | ||||
\(975\) | −4.32905 | − | 7.54960i | −0.138641 | − | 0.241781i | ||||
\(976\) | −3.37716 | − | 2.45365i | −0.108100 | − | 0.0785395i | ||||
\(977\) | −10.1058 | + | 13.9095i | −0.323314 | + | 0.445003i | −0.939475 | − | 0.342617i | \(-0.888687\pi\) |
0.616162 | + | 0.787620i | \(0.288687\pi\) | |||||||
\(978\) | −3.94107 | + | 18.5413i | −0.126021 | + | 0.592884i | ||||
\(979\) | 4.55375 | − | 43.3260i | 0.145538 | − | 1.38471i | ||||
\(980\) | 3.90212 | − | 11.9493i | 0.124649 | − | 0.381708i | ||||
\(981\) | 2.71358 | − | 0.576789i | 0.0866379 | − | 0.0184155i | ||||
\(982\) | −10.4866 | + | 23.5533i | −0.334641 | + | 0.751615i | ||||
\(983\) | 36.8370 | + | 33.1682i | 1.17492 | + | 1.05790i | 0.997273 | + | 0.0738074i | \(0.0235150\pi\) |
0.177646 | + | 0.984094i | \(0.443152\pi\) | |||||||
\(984\) | 0.424035 | + | 1.30504i | 0.0135177 | + | 0.0416033i | ||||
\(985\) | 0.0435715 | − | 0.0140861i | 0.00138830 | − | 0.000448819i | ||||
\(986\) | −2.48170 | + | 4.29842i | −0.0790333 | + | 0.136890i | ||||
\(987\) | 0.981597 | − | 0.566725i | 0.0312446 | − | 0.0180391i | ||||
\(988\) | −4.34716 | − | 1.41248i | −0.138302 | − | 0.0449369i | ||||
\(989\) | −0.129525 | + | 0.0576684i | −0.00411866 | + | 0.00183375i | ||||
\(990\) | 2.39238 | + | 11.3377i | 0.0760349 | + | 0.360335i | ||||
\(991\) | 16.4334 | 0.522024 | 0.261012 | − | 0.965335i | \(-0.415944\pi\) | ||||
0.261012 | + | 0.965335i | \(0.415944\pi\) | |||||||
\(992\) | −3.83045 | + | 4.04075i | −0.121617 | + | 0.128294i | ||||
\(993\) | − | 21.0120i | − | 0.666795i | ||||||
\(994\) | 8.99030 | − | 6.53184i | 0.285155 | − | 0.207177i | ||||
\(995\) | 8.28825 | + | 0.0122535i | 0.262755 | + | 0.000388462i | ||||
\(996\) | −0.500977 | + | 1.54185i | −0.0158741 | + | 0.0488553i | ||||
\(997\) | 24.1496 | − | 13.9428i | 0.764826 | − | 0.441573i | −0.0661995 | − | 0.997806i | \(-0.521087\pi\) |
0.831026 | + | 0.556234i | \(0.187754\pi\) | |||||||
\(998\) | −33.0992 | − | 19.1099i | −1.04774 | − | 0.604912i | ||||
\(999\) | −4.68739 | − | 5.20587i | −0.148302 | − | 0.164707i |
(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.a.49.5 | yes | 112 | |
5.4 | even | 2 | inner | 930.2.bn.a.49.13 | yes | 112 | |
31.19 | even | 15 | inner | 930.2.bn.a.19.13 | yes | 112 | |
155.19 | even | 30 | inner | 930.2.bn.a.19.5 | ✓ | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bn.a.19.5 | ✓ | 112 | 155.19 | even | 30 | inner | |
930.2.bn.a.19.13 | yes | 112 | 31.19 | even | 15 | inner | |
930.2.bn.a.49.5 | yes | 112 | 1.1 | even | 1 | trivial | |
930.2.bn.a.49.13 | yes | 112 | 5.4 | even | 2 | inner |