Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [289,2,Mod(2,289)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(289, base_ring=CyclotomicField(136))
chi = DirichletCharacter(H, H._module([95]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("289.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 289 = 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 289.i (of order \(136\), degree \(64\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.30767661842\) |
Analytic rank: | \(0\) |
Dimension: | \(1600\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{136})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{136}]$ |
Embedding invariants
Embedding label | 100.14 | ||
Character | \(\chi\) | \(=\) | 289.100 |
Dual form | 289.2.i.a.263.14 |
$q$-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 \(\left(\mathbb{Z}/289\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{11}{136}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0672833 | + | 0.152382i | 0.0475764 | + | 0.107750i | 0.936994 | − | 0.349345i | \(-0.113596\pi\) |
−0.889418 | + | 0.457095i | \(0.848890\pi\) | |||||||
\(3\) | 0.941926 | + | 0.244631i | 0.543821 | + | 0.141238i | 0.513161 | − | 0.858292i | \(-0.328474\pi\) |
0.0306602 | + | 0.999530i | \(0.490239\pi\) | |||||||
\(4\) | 1.32870 | − | 1.45751i | 0.664349 | − | 0.728756i | ||||
\(5\) | 0.199179 | − | 2.86956i | 0.0890756 | − | 1.28331i | −0.719325 | − | 0.694674i | \(-0.755549\pi\) |
0.808400 | − | 0.588633i | \(-0.200334\pi\) | |||||||
\(6\) | 0.0260985 | + | 0.159992i | 0.0106547 | + | 0.0653165i | ||||
\(7\) | −0.539360 | + | 4.64901i | −0.203859 | + | 1.75716i | 0.361551 | + | 0.932352i | \(0.382247\pi\) |
−0.565410 | + | 0.824810i | \(0.691282\pi\) | |||||||
\(8\) | 0.627378 | + | 0.210276i | 0.221812 | + | 0.0743438i | ||||
\(9\) | −1.79349 | − | 0.998965i | −0.597829 | − | 0.332988i | ||||
\(10\) | 0.450671 | − | 0.162722i | 0.142515 | − | 0.0514573i | ||||
\(11\) | 5.19824 | − | 2.44024i | 1.56733 | − | 0.735761i | 0.570966 | − | 0.820974i | \(-0.306569\pi\) |
0.996363 | + | 0.0852134i | \(0.0271572\pi\) | |||||||
\(12\) | 1.60809 | − | 1.04783i | 0.464215 | − | 0.302482i | ||||
\(13\) | 0.105801 | − | 0.0526828i | 0.0293440 | − | 0.0146116i | −0.431006 | − | 0.902349i | \(-0.641841\pi\) |
0.460350 | + | 0.887737i | \(0.347724\pi\) | |||||||
\(14\) | −0.744716 | + | 0.230612i | −0.199034 | + | 0.0616336i | ||||
\(15\) | 0.889595 | − | 2.65419i | 0.229692 | − | 0.685309i | ||||
\(16\) | −0.353783 | − | 3.81793i | −0.0884458 | − | 0.954482i | ||||
\(17\) | −2.53610 | + | 3.25088i | −0.615094 | + | 0.788454i | ||||
\(18\) | 0.0315528 | − | 0.340509i | 0.00743706 | − | 0.0802587i | ||||
\(19\) | −2.63721 | − | 1.16444i | −0.605018 | − | 0.267142i | 0.0786877 | − | 0.996899i | \(-0.474927\pi\) |
−0.683706 | + | 0.729758i | \(0.739633\pi\) | |||||||
\(20\) | −3.91777 | − | 4.10309i | −0.876041 | − | 0.917478i | ||||
\(21\) | −1.64533 | + | 4.24708i | −0.359040 | + | 0.926790i | ||||
\(22\) | 0.721604 | + | 0.627931i | 0.153846 | + | 0.133875i | ||||
\(23\) | 1.86294 | + | 0.216131i | 0.388449 | + | 0.0450664i | 0.307243 | − | 0.951631i | \(-0.400593\pi\) |
0.0812059 | + | 0.996697i | \(0.474123\pi\) | |||||||
\(24\) | 0.539504 | + | 0.351540i | 0.110126 | + | 0.0717579i | ||||
\(25\) | −3.24266 | − | 0.452332i | −0.648532 | − | 0.0904663i | ||||
\(26\) | 0.0151466 | + | 0.0125776i | 0.00297049 | + | 0.00246666i | ||||
\(27\) | −3.55650 | − | 3.39587i | −0.684449 | − | 0.653536i | ||||
\(28\) | 6.05935 | + | 6.96326i | 1.14511 | + | 1.31593i | ||||
\(29\) | 2.91238 | + | 1.05156i | 0.540816 | + | 0.195270i | 0.595678 | − | 0.803224i | \(-0.296884\pi\) |
−0.0548617 | + | 0.998494i | \(0.517472\pi\) | |||||||
\(30\) | 0.464306 | − | 0.0430243i | 0.0847702 | − | 0.00785512i | ||||
\(31\) | −3.10463 | + | 3.56777i | −0.557608 | + | 0.640790i | −0.961757 | − | 0.273903i | \(-0.911685\pi\) |
0.404150 | + | 0.914693i | \(0.367568\pi\) | |||||||
\(32\) | 1.71410 | − | 0.954745i | 0.303012 | − | 0.168777i | ||||
\(33\) | 5.49332 | − | 1.02688i | 0.956264 | − | 0.178757i | ||||
\(34\) | −0.666012 | − | 0.167726i | −0.114220 | − | 0.0287648i | ||||
\(35\) | 13.2332 | + | 2.47371i | 2.23682 | + | 0.418134i | ||||
\(36\) | −3.83901 | + | 1.28671i | −0.639834 | + | 0.214451i | ||||
\(37\) | 0.729231 | + | 3.45693i | 0.119885 | + | 0.568316i | 0.996239 | + | 0.0866486i | \(0.0276157\pi\) |
−0.876354 | + | 0.481667i | \(0.840031\pi\) | |||||||
\(38\) | − | 0.480212i | − | 0.0779006i | ||||||
\(39\) | 0.112545 | − | 0.0237411i | 0.0180216 | − | 0.00380161i | ||||
\(40\) | 0.728360 | − | 1.75842i | 0.115164 | − | 0.278030i | ||||
\(41\) | −5.69204 | + | 3.34500i | −0.888947 | + | 0.522401i | −0.878607 | − | 0.477545i | \(-0.841527\pi\) |
−0.0103398 | + | 0.999947i | \(0.503291\pi\) | |||||||
\(42\) | −0.757882 | + | 0.0350390i | −0.116944 | + | 0.00540664i | ||||
\(43\) | 6.37074 | + | 7.67200i | 0.971529 | + | 1.16997i | 0.985433 | + | 0.170065i | \(0.0543978\pi\) |
−0.0139034 | + | 0.999903i | \(0.504426\pi\) | |||||||
\(44\) | 3.35021 | − | 10.8188i | 0.505063 | − | 1.63100i | ||||
\(45\) | −3.22382 | + | 4.94755i | −0.480578 | + | 0.737537i | ||||
\(46\) | 0.0924101 | + | 0.298420i | 0.0136251 | + | 0.0439997i | ||||
\(47\) | 2.01499 | + | 0.573313i | 0.293916 | + | 0.0836263i | 0.417408 | − | 0.908719i | \(-0.362939\pi\) |
−0.123492 | + | 0.992346i | \(0.539409\pi\) | |||||||
\(48\) | 0.600745 | − | 3.68275i | 0.0867101 | − | 0.531560i | ||||
\(49\) | −14.5084 | − | 3.41233i | −2.07262 | − | 0.487476i | ||||
\(50\) | −0.149249 | − | 0.524557i | −0.0211071 | − | 0.0741836i | ||||
\(51\) | −3.18408 | + | 2.44168i | −0.445861 | + | 0.341903i | ||||
\(52\) | 0.0637922 | − | 0.224206i | 0.00884639 | − | 0.0310918i | ||||
\(53\) | −5.78224 | + | 10.3811i | −0.794252 | + | 1.42596i | 0.107729 | + | 0.994180i | \(0.465642\pi\) |
−0.901981 | + | 0.431776i | \(0.857887\pi\) | |||||||
\(54\) | 0.278177 | − | 0.770433i | 0.0378551 | − | 0.104843i | ||||
\(55\) | −5.96704 | − | 15.4027i | −0.804596 | − | 2.07690i | ||||
\(56\) | −1.31596 | + | 2.80327i | −0.175852 | + | 0.374603i | ||||
\(57\) | −2.19920 | − | 1.74196i | −0.291291 | − | 0.230729i | ||||
\(58\) | 0.0357153 | + | 0.514548i | 0.00468964 | + | 0.0675634i | ||||
\(59\) | −3.90182 | + | 0.917699i | −0.507973 | + | 0.119474i | −0.475007 | − | 0.879982i | \(-0.657554\pi\) |
−0.0329667 | + | 0.999456i | \(0.510496\pi\) | |||||||
\(60\) | −2.68651 | − | 4.82321i | −0.346827 | − | 0.622674i | ||||
\(61\) | −2.68889 | + | 0.438622i | −0.344277 | + | 0.0561598i | −0.330667 | − | 0.943748i | \(-0.607274\pi\) |
−0.0136103 | + | 0.999907i | \(0.504332\pi\) | |||||||
\(62\) | −0.752553 | − | 0.233039i | −0.0955743 | − | 0.0295960i | ||||
\(63\) | 5.61154 | − | 7.79914i | 0.706988 | − | 0.982599i | ||||
\(64\) | −5.85884 | − | 4.42439i | −0.732355 | − | 0.553048i | ||||
\(65\) | −0.130103 | − | 0.314097i | −0.0161373 | − | 0.0389589i | ||||
\(66\) | 0.526086 | + | 0.767991i | 0.0647567 | + | 0.0945332i | ||||
\(67\) | −10.4268 | + | 4.03935i | −1.27383 | + | 0.493486i | −0.900760 | − | 0.434317i | \(-0.856990\pi\) |
−0.373073 | + | 0.927802i | \(0.621696\pi\) | |||||||
\(68\) | 1.36849 | + | 8.01583i | 0.165953 | + | 0.972062i | ||||
\(69\) | 1.70188 | + | 0.659311i | 0.204882 | + | 0.0793717i | ||||
\(70\) | 0.513423 | + | 2.18294i | 0.0613658 | + | 0.260911i | ||||
\(71\) | 8.98302 | − | 7.11535i | 1.06609 | − | 0.844437i | 0.0777902 | − | 0.996970i | \(-0.475214\pi\) |
0.988298 | + | 0.152533i | \(0.0487430\pi\) | |||||||
\(72\) | −0.915136 | − | 1.00386i | −0.107850 | − | 0.118306i | ||||
\(73\) | −6.80715 | − | 12.9141i | −0.796716 | − | 1.51148i | −0.858166 | − | 0.513373i | \(-0.828396\pi\) |
0.0614491 | − | 0.998110i | \(-0.480428\pi\) | |||||||
\(74\) | −0.477709 | + | 0.343715i | −0.0555326 | + | 0.0399561i | ||||
\(75\) | −2.94369 | − | 1.21932i | −0.339908 | − | 0.140795i | ||||
\(76\) | −5.20125 | + | 2.29658i | −0.596624 | + | 0.263435i | ||||
\(77\) | 8.54099 | + | 25.4829i | 0.973337 | + | 2.90404i | ||||
\(78\) | 0.0111901 | + | 0.0155524i | 0.00126703 | + | 0.00176097i | ||||
\(79\) | 0.0630245 | − | 2.72786i | 0.00709081 | − | 0.306908i | −0.984340 | − | 0.176278i | \(-0.943594\pi\) |
0.991431 | − | 0.130630i | \(-0.0416999\pi\) | |||||||
\(80\) | −11.0262 | + | 0.254751i | −1.23277 | + | 0.0284820i | ||||
\(81\) | 0.722960 | + | 1.16762i | 0.0803288 | + | 0.129736i | ||||
\(82\) | −0.892697 | − | 0.642302i | −0.0985819 | − | 0.0709304i | ||||
\(83\) | 0.184675 | − | 1.32389i | 0.0202708 | − | 0.145316i | −0.977606 | − | 0.210442i | \(-0.932510\pi\) |
0.997877 | + | 0.0651259i | \(0.0207449\pi\) | |||||||
\(84\) | 4.00403 | + | 8.04118i | 0.436876 | + | 0.877364i | ||||
\(85\) | 8.82346 | + | 7.92500i | 0.957038 | + | 0.859587i | ||||
\(86\) | −0.740430 | + | 1.48698i | −0.0798426 | + | 0.160346i | ||||
\(87\) | 2.48601 | + | 1.70295i | 0.266528 | + | 0.182576i | ||||
\(88\) | 3.77439 | − | 0.437890i | 0.402351 | − | 0.0466792i | ||||
\(89\) | 13.9415 | + | 6.94206i | 1.47780 | + | 0.735857i | 0.990517 | − | 0.137388i | \(-0.0438707\pi\) |
0.487282 | + | 0.873245i | \(0.337988\pi\) | |||||||
\(90\) | −0.970826 | − | 0.158365i | −0.102334 | − | 0.0166931i | ||||
\(91\) | 0.187858 | + | 0.520287i | 0.0196929 | + | 0.0545409i | ||||
\(92\) | 2.79029 | − | 2.42808i | 0.290908 | − | 0.253145i | ||||
\(93\) | −3.79712 | + | 2.60108i | −0.393743 | + | 0.269720i | ||||
\(94\) | 0.0482122 | + | 0.345622i | 0.00497271 | + | 0.0356482i | ||||
\(95\) | −3.86672 | + | 7.33571i | −0.396717 | + | 0.752628i | ||||
\(96\) | 1.84811 | − | 0.479979i | 0.188622 | − | 0.0489876i | ||||
\(97\) | 0.234817 | + | 0.296453i | 0.0238420 | + | 0.0301002i | 0.795661 | − | 0.605742i | \(-0.207124\pi\) |
−0.771819 | + | 0.635842i | \(0.780653\pi\) | |||||||
\(98\) | −0.456191 | − | 2.44041i | −0.0460822 | − | 0.246518i | ||||
\(99\) | −11.7607 | − | 0.816321i | −1.18199 | − | 0.0820434i | ||||
\(100\) | −4.96779 | + | 4.12520i | −0.496779 | + | 0.412520i | ||||
\(101\) | 3.35075 | − | 2.07470i | 0.333412 | − | 0.206440i | −0.349508 | − | 0.936934i | \(-0.613651\pi\) |
0.682920 | + | 0.730494i | \(0.260710\pi\) | |||||||
\(102\) | −0.586303 | − | 0.320913i | −0.0580527 | − | 0.0317751i | ||||
\(103\) | −3.81769 | − | 2.36382i | −0.376169 | − | 0.232914i | 0.325305 | − | 0.945609i | \(-0.394533\pi\) |
−0.701474 | + | 0.712695i | \(0.747474\pi\) | |||||||
\(104\) | 0.0774554 | − | 0.0108046i | 0.00759513 | − | 0.00105947i | ||||
\(105\) | 11.8596 | + | 5.56730i | 1.15737 | + | 0.543313i | ||||
\(106\) | −1.97094 | − | 0.182635i | −0.191435 | − | 0.0177391i | ||||
\(107\) | −0.00433428 | + | 0.00413853i | −0.000419011 | + | 0.000400086i | −0.690795 | − | 0.723051i | \(-0.742739\pi\) |
0.690376 | + | 0.723451i | \(0.257445\pi\) | |||||||
\(108\) | −9.67505 | + | 0.671555i | −0.930982 | + | 0.0646204i | ||||
\(109\) | −2.35568 | − | 9.07031i | −0.225633 | − | 0.868778i | −0.977754 | − | 0.209753i | \(-0.932734\pi\) |
0.752121 | − | 0.659025i | \(-0.229031\pi\) | |||||||
\(110\) | 1.94562 | − | 1.94562i | 0.185507 | − | 0.185507i | ||||
\(111\) | −0.158790 | + | 3.43457i | −0.0150716 | + | 0.325995i | ||||
\(112\) | 17.9404 | + | 0.414497i | 1.69521 | + | 0.0391662i | ||||
\(113\) | −1.43326 | − | 2.43891i | −0.134830 | − | 0.229434i | 0.787069 | − | 0.616865i | \(-0.211598\pi\) |
−0.921899 | + | 0.387431i | \(0.873362\pi\) | |||||||
\(114\) | 0.117474 | − | 0.452324i | 0.0110025 | − | 0.0423640i | ||||
\(115\) | 0.991259 | − | 5.30276i | 0.0924353 | − | 0.494485i | ||||
\(116\) | 5.40235 | − | 2.84762i | 0.501595 | − | 0.264395i | ||||
\(117\) | −0.242382 | − | 0.0112060i | −0.0224082 | − | 0.00103599i | ||||
\(118\) | −0.402368 | − | 0.532821i | −0.0370410 | − | 0.0490502i | ||||
\(119\) | −13.7455 | − | 13.5437i | −1.26005 | − | 1.24155i | ||||
\(120\) | 1.11622 | − | 1.47812i | 0.101897 | − | 0.134933i | ||||
\(121\) | 14.0396 | − | 16.9073i | 1.27633 | − | 1.53702i | ||||
\(122\) | −0.247755 | − | 0.380227i | −0.0224307 | − | 0.0344241i | ||||
\(123\) | −6.17977 | + | 1.75830i | −0.557211 | + | 0.158540i | ||||
\(124\) | 1.07495 | + | 9.26552i | 0.0965333 | + | 0.832068i | ||||
\(125\) | 1.02472 | − | 4.85771i | 0.0916540 | − | 0.434487i | ||||
\(126\) | 1.56601 | + | 0.330346i | 0.139511 | + | 0.0294296i | ||||
\(127\) | 5.65589 | − | 8.25658i | 0.501879 | − | 0.732653i | −0.488267 | − | 0.872694i | \(-0.662371\pi\) |
0.990146 | + | 0.140042i | \(0.0447237\pi\) | |||||||
\(128\) | 1.17842 | − | 5.01035i | 0.104159 | − | 0.442856i | ||||
\(129\) | 4.12397 | + | 8.78493i | 0.363095 | + | 0.773470i | ||||
\(130\) | 0.0391090 | − | 0.0409588i | 0.00343008 | − | 0.00359233i | ||||
\(131\) | 3.37521 | − | 1.39806i | 0.294894 | − | 0.122149i | −0.230331 | − | 0.973112i | \(-0.573981\pi\) |
0.525225 | + | 0.850963i | \(0.323981\pi\) | |||||||
\(132\) | 5.80227 | − | 9.37099i | 0.505023 | − | 0.815640i | ||||
\(133\) | 6.83592 | − | 11.6324i | 0.592750 | − | 1.00866i | ||||
\(134\) | −1.31707 | − | 1.31707i | −0.113778 | − | 0.113778i | ||||
\(135\) | −10.4531 | + | 9.52921i | −0.899655 | + | 0.820144i | ||||
\(136\) | −2.27467 | + | 1.50625i | −0.195052 | + | 0.129160i | ||||
\(137\) | −5.74098 | − | 5.23360i | −0.490485 | − | 0.447136i | 0.390275 | − | 0.920698i | \(-0.372380\pi\) |
−0.880761 | + | 0.473562i | \(0.842968\pi\) | |||||||
\(138\) | 0.0140407 | + | 0.303696i | 0.00119523 | + | 0.0258523i | ||||
\(139\) | 0.109571 | + | 4.74249i | 0.00929367 | + | 0.402253i | 0.983940 | + | 0.178501i | \(0.0571247\pi\) |
−0.974646 | + | 0.223752i | \(0.928169\pi\) | |||||||
\(140\) | 21.1884 | − | 16.0007i | 1.79075 | − | 1.35231i | ||||
\(141\) | 1.75772 | + | 1.03295i | 0.148027 | + | 0.0869897i | ||||
\(142\) | 1.68866 | + | 0.890107i | 0.141709 | + | 0.0746961i | ||||
\(143\) | 0.421422 | − | 0.532039i | 0.0352411 | − | 0.0444913i | ||||
\(144\) | −3.17947 | + | 7.20082i | −0.264956 | + | 0.600069i | ||||
\(145\) | 3.59761 | − | 8.14781i | 0.298765 | − | 0.676639i | ||||
\(146\) | 1.50987 | − | 1.90619i | 0.124958 | − | 0.157758i | ||||
\(147\) | −12.8310 | − | 6.76335i | −1.05829 | − | 0.557832i | ||||
\(148\) | 6.00745 | + | 3.53035i | 0.493809 | + | 0.290193i | ||||
\(149\) | 3.56091 | − | 2.68908i | 0.291721 | − | 0.220298i | −0.446622 | − | 0.894723i | \(-0.647373\pi\) |
0.738343 | + | 0.674425i | \(0.235608\pi\) | |||||||
\(150\) | −0.0122591 | − | 0.530605i | −0.00100095 | − | 0.0433237i | ||||
\(151\) | 1.03596 | + | 22.4076i | 0.0843056 | + | 1.82350i | 0.450292 | + | 0.892881i | \(0.351320\pi\) |
−0.365987 | + | 0.930620i | \(0.619268\pi\) | |||||||
\(152\) | −1.40968 | − | 1.28509i | −0.114340 | − | 0.104234i | ||||
\(153\) | 7.79597 | − | 3.29693i | 0.630267 | − | 0.266541i | ||||
\(154\) | −3.30846 | + | 3.01606i | −0.266604 | + | 0.243041i | ||||
\(155\) | 9.61955 | + | 9.61955i | 0.772661 | + | 0.772661i | ||||
\(156\) | 0.114935 | − | 0.195580i | 0.00920219 | − | 0.0156590i | ||||
\(157\) | −6.75918 | + | 10.9164i | −0.539441 | + | 0.871227i | −0.999864 | − | 0.0164724i | \(-0.994756\pi\) |
0.460423 | + | 0.887699i | \(0.347698\pi\) | |||||||
\(158\) | 0.419917 | − | 0.173935i | 0.0334068 | − | 0.0138375i | ||||
\(159\) | −7.98598 | + | 8.36373i | −0.633330 | + | 0.663287i | ||||
\(160\) | −2.39829 | − | 5.10887i | −0.189601 | − | 0.403892i | ||||
\(161\) | −2.00959 | + | 8.54425i | −0.158378 | + | 0.673381i | ||||
\(162\) | −0.129281 | + | 0.188727i | −0.0101573 | + | 0.0148278i | ||||
\(163\) | −5.94900 | − | 1.25493i | −0.465962 | − | 0.0982935i | −0.0325123 | − | 0.999471i | \(-0.510351\pi\) |
−0.433450 | + | 0.901178i | \(0.642704\pi\) | |||||||
\(164\) | −2.68762 | + | 12.7407i | −0.209868 | + | 0.994882i | ||||
\(165\) | −1.85254 | − | 15.9679i | −0.144220 | − | 1.24310i | ||||
\(166\) | 0.214163 | − | 0.0609347i | 0.0166223 | − | 0.00472945i | ||||
\(167\) | −0.865298 | − | 1.32796i | −0.0669588 | − | 0.102761i | 0.802774 | − | 0.596283i | \(-0.203356\pi\) |
−0.869733 | + | 0.493522i | \(0.835709\pi\) | |||||||
\(168\) | −1.92530 | + | 2.31855i | −0.148540 | + | 0.178880i | ||||
\(169\) | −7.82583 | + | 10.3631i | −0.601987 | + | 0.797160i | ||||
\(170\) | −0.613956 | + | 1.87776i | −0.0470883 | + | 0.144017i | ||||
\(171\) | 3.56657 | + | 4.72290i | 0.272742 | + | 0.361169i | ||||
\(172\) | 19.6468 | + | 0.908328i | 1.49806 | + | 0.0692593i | ||||
\(173\) | 17.9420 | − | 9.45737i | 1.36410 | − | 0.719031i | 0.385099 | − | 0.922875i | \(-0.374167\pi\) |
0.979003 | + | 0.203844i | \(0.0653437\pi\) | |||||||
\(174\) | −0.0922330 | + | 0.493403i | −0.00699216 | + | 0.0374048i | ||||
\(175\) | 3.85186 | − | 14.8312i | 0.291173 | − | 1.12113i | ||||
\(176\) | −11.1557 | − | 18.9832i | −0.840894 | − | 1.43091i | ||||
\(177\) | −3.89972 | − | 0.0900994i | −0.293121 | − | 0.00677228i | ||||
\(178\) | −0.119813 | + | 2.59152i | −0.00898039 | + | 0.194243i | ||||
\(179\) | 10.6906 | − | 10.6906i | 0.799056 | − | 0.799056i | −0.183891 | − | 0.982947i | \(-0.558869\pi\) |
0.982947 | + | 0.183891i | \(0.0588692\pi\) | |||||||
\(180\) | 2.92763 | + | 11.2726i | 0.218213 | + | 0.840206i | ||||
\(181\) | 8.32100 | − | 0.577569i | 0.618495 | − | 0.0429303i | 0.243414 | − | 0.969922i | \(-0.421733\pi\) |
0.375081 | + | 0.926992i | \(0.377615\pi\) | |||||||
\(182\) | −0.0666427 | + | 0.0636328i | −0.00493989 | + | 0.00471678i | ||||
\(183\) | −2.64004 | − | 0.244635i | −0.195157 | − | 0.0180840i | ||||
\(184\) | 1.12332 | + | 0.527327i | 0.0828122 | + | 0.0388750i | ||||
\(185\) | 10.0651 | − | 1.40402i | 0.740003 | − | 0.103226i | ||||
\(186\) | −0.651841 | − | 0.403603i | −0.0477953 | − | 0.0295936i | ||||
\(187\) | −5.25032 | + | 23.0875i | −0.383941 | + | 1.68833i | ||||
\(188\) | 3.51292 | − | 2.17511i | 0.256206 | − | 0.158636i | ||||
\(189\) | 17.7057 | − | 14.7026i | 1.28790 | − | 1.06946i | ||||
\(190\) | −1.37800 | − | 0.0956481i | −0.0999704 | − | 0.00693904i | ||||
\(191\) | −3.13456 | − | 16.7684i | −0.226809 | − | 1.21332i | −0.886839 | − | 0.462079i | \(-0.847104\pi\) |
0.660030 | − | 0.751239i | \(-0.270544\pi\) | |||||||
\(192\) | −4.43625 | − | 5.60070i | −0.320159 | − | 0.404196i | ||||
\(193\) | 5.43374 | − | 1.41121i | 0.391129 | − | 0.101581i | −0.0506246 | − | 0.998718i | \(-0.516121\pi\) |
0.441754 | + | 0.897136i | \(0.354356\pi\) | |||||||
\(194\) | −0.0293748 | + | 0.0557282i | −0.00210899 | + | 0.00400105i | ||||
\(195\) | −0.0457099 | − | 0.327683i | −0.00327335 | − | 0.0234659i | ||||
\(196\) | −24.2507 | + | 16.6121i | −1.73220 | + | 1.18658i | ||||
\(197\) | −0.308673 | + | 0.268604i | −0.0219921 | + | 0.0191372i | −0.667373 | − | 0.744724i | \(-0.732581\pi\) |
0.645381 | + | 0.763861i | \(0.276699\pi\) | |||||||
\(198\) | −0.666905 | − | 1.84704i | −0.0473949 | − | 0.131264i | ||||
\(199\) | 19.9111 | + | 3.24798i | 1.41146 | + | 0.230243i | 0.818277 | − | 0.574824i | \(-0.194929\pi\) |
0.593184 | + | 0.805067i | \(0.297870\pi\) | |||||||
\(200\) | −1.93926 | − | 0.965636i | −0.137126 | − | 0.0682808i | ||||
\(201\) | −10.8094 | + | 1.25406i | −0.762436 | + | 0.0884549i | ||||
\(202\) | 0.541596 | + | 0.371002i | 0.0381065 | + | 0.0261036i | ||||
\(203\) | −6.45956 | + | 12.9725i | −0.453372 | + | 0.910494i | ||||
\(204\) | −0.671905 | + | 7.88509i | −0.0470428 | + | 0.552067i | ||||
\(205\) | 8.46495 | + | 16.9999i | 0.591217 | + | 1.18732i | ||||
\(206\) | 0.103336 | − | 0.740793i | 0.00719978 | − | 0.0516135i | ||||
\(207\) | −3.12525 | − | 2.24864i | −0.217220 | − | 0.156291i | ||||
\(208\) | −0.238570 | − | 0.385304i | −0.0165419 | − | 0.0267160i | ||||
\(209\) | −16.5504 | + | 0.382381i | −1.14481 | + | 0.0264499i | ||||
\(210\) | −0.0504077 | + | 2.18177i | −0.00347846 | + | 0.150556i | ||||
\(211\) | −10.8188 | − | 15.0365i | −0.744800 | − | 1.03515i | −0.997708 | − | 0.0676620i | \(-0.978446\pi\) |
0.252909 | − | 0.967490i | \(-0.418613\pi\) | |||||||
\(212\) | 7.44775 | + | 22.2211i | 0.511513 | + | 1.52615i | ||||
\(213\) | 10.2020 | − | 4.50461i | 0.699028 | − | 0.308651i | ||||
\(214\) | −0.000922262 | 0 | 0.000382013i | −6.30445e−5 | 0 | 2.61139e-5i | ||||
\(215\) | 23.2842 | − | 16.7531i | 1.58797 | − | 1.14255i | ||||
\(216\) | −1.51720 | − | 2.87834i | −0.103232 | − | 0.195847i | ||||
\(217\) | −14.9121 | − | 16.3578i | −1.01230 | − | 1.11044i | ||||
\(218\) | 1.22366 | − | 0.969244i | 0.0828764 | − | 0.0656455i | ||||
\(219\) | −3.25264 | − | 13.8294i | −0.219793 | − | 0.934503i | ||||
\(220\) | −30.3780 | − | 11.7685i | −2.04809 | − | 0.793433i | ||||
\(221\) | −0.0970573 | + | 0.477556i | −0.00652878 | + | 0.0321239i | ||||
\(222\) | −0.534050 | + | 0.206892i | −0.0358431 | + | 0.0138857i | ||||
\(223\) | −14.7705 | − | 21.5623i | −0.989108 | − | 1.44392i | −0.893797 | − | 0.448472i | \(-0.851968\pi\) |
−0.0953116 | − | 0.995447i | \(-0.530385\pi\) | |||||||
\(224\) | 3.51411 | + | 8.48381i | 0.234796 | + | 0.566848i | ||||
\(225\) | 5.36380 | + | 4.05055i | 0.357587 | + | 0.270037i | ||||
\(226\) | 0.275212 | − | 0.382501i | 0.0183069 | − | 0.0254436i | ||||
\(227\) | −23.7204 | − | 7.34535i | −1.57438 | − | 0.487528i | −0.619617 | − | 0.784904i | \(-0.712712\pi\) |
−0.954760 | + | 0.297376i | \(0.903888\pi\) | |||||||
\(228\) | −5.46101 | + | 0.890820i | −0.361664 | + | 0.0589960i | ||||
\(229\) | 5.82794 | + | 10.4632i | 0.385121 | + | 0.691425i | 0.994869 | − | 0.101171i | \(-0.0322588\pi\) |
−0.609748 | + | 0.792595i | \(0.708729\pi\) | |||||||
\(230\) | 0.874741 | − | 0.205737i | 0.0576787 | − | 0.0135659i | ||||
\(231\) | 1.81110 | + | 26.0924i | 0.119161 | + | 1.71675i | ||||
\(232\) | 1.60605 | + | 1.27213i | 0.105442 | + | 0.0835196i | ||||
\(233\) | 8.01639 | − | 17.0766i | 0.525171 | − | 1.11873i | −0.449127 | − | 0.893468i | \(-0.648265\pi\) |
0.974299 | − | 0.225260i | \(-0.0723232\pi\) | |||||||
\(234\) | −0.0146006 | − | 0.0376886i | −0.000954473 | − | 0.00246378i | ||||
\(235\) | 2.04650 | − | 5.66793i | 0.133499 | − | 0.369735i | ||||
\(236\) | −3.84678 | + | 6.90629i | −0.250404 | + | 0.449561i | ||||
\(237\) | 0.726681 | − | 2.55402i | 0.0472030 | − | 0.165901i | ||||
\(238\) | 1.13898 | − | 3.00584i | 0.0738292 | − | 0.194839i | ||||
\(239\) | 0.345177 | + | 1.21317i | 0.0223276 | + | 0.0784735i | 0.972189 | − | 0.234198i | \(-0.0752465\pi\) |
−0.949861 | + | 0.312672i | \(0.898776\pi\) | |||||||
\(240\) | −10.4482 | − | 2.45740i | −0.674431 | − | 0.158625i | ||||
\(241\) | −2.14080 | + | 13.1238i | −0.137901 | + | 0.845375i | 0.822910 | + | 0.568171i | \(0.192349\pi\) |
−0.960811 | + | 0.277204i | \(0.910592\pi\) | |||||||
\(242\) | 3.52099 | + | 1.00181i | 0.226338 | + | 0.0643987i | ||||
\(243\) | 4.75912 | + | 15.3686i | 0.305297 | + | 0.985898i | ||||
\(244\) | −2.93342 | + | 4.50188i | −0.187793 | + | 0.288204i | ||||
\(245\) | −12.6817 | + | 40.9529i | −0.810202 | + | 2.61639i | ||||
\(246\) | −0.683728 | − | 0.823382i | −0.0435929 | − | 0.0524969i | ||||
\(247\) | −0.340367 | + | 0.0157361i | −0.0216570 | + | 0.00100126i | ||||
\(248\) | −2.69799 | + | 1.58551i | −0.171323 | + | 0.100680i | ||||
\(249\) | 0.497816 | − | 1.20183i | 0.0315478 | − | 0.0761631i | ||||
\(250\) | 0.809175 | − | 0.170694i | 0.0511767 | − | 0.0107956i | ||||
\(251\) | − | 16.4995i | − | 1.04144i | −0.853727 | − | 0.520721i | \(-0.825663\pi\) | ||
0.853727 | − | 0.520721i | \(-0.174337\pi\) | |||||||
\(252\) | −3.91130 | − | 18.5416i | −0.246389 | − | 1.16801i | ||||
\(253\) | 10.2114 | − | 3.42252i | 0.641986 | − | 0.215172i | ||||
\(254\) | 1.63870 | + | 0.306326i | 0.102821 | + | 0.0192206i | ||||
\(255\) | 6.37235 | + | 9.62325i | 0.399052 | + | 0.602631i | ||||
\(256\) | −13.5907 | + | 2.54054i | −0.849418 | + | 0.158784i | ||||
\(257\) | −15.2393 | + | 8.48824i | −0.950602 | + | 0.529482i | −0.883585 | − | 0.468270i | \(-0.844877\pi\) |
−0.0670163 | + | 0.997752i | \(0.521348\pi\) | |||||||
\(258\) | −1.06119 | + | 1.21950i | −0.0660669 | + | 0.0759226i | ||||
\(259\) | −16.4646 | + | 1.52567i | −1.02306 | + | 0.0948007i | ||||
\(260\) | −0.630668 | − | 0.227713i | −0.0391124 | − | 0.0141222i | ||||
\(261\) | −4.17285 | − | 4.79534i | −0.258293 | − | 0.296824i | ||||
\(262\) | 0.440135 | + | 0.420256i | 0.0271916 | + | 0.0259635i | ||||
\(263\) | 8.47958 | + | 7.04135i | 0.522873 | + | 0.434188i | 0.862265 | − | 0.506457i | \(-0.169045\pi\) |
−0.339392 | + | 0.940645i | \(0.610221\pi\) | |||||||
\(264\) | 3.66231 | + | 0.510871i | 0.225400 | + | 0.0314419i | ||||
\(265\) | 28.6375 | + | 18.6602i | 1.75919 | + | 1.14629i | ||||
\(266\) | 2.23251 | + | 0.259007i | 0.136884 | + | 0.0158807i | ||||
\(267\) | 11.4337 | + | 9.94943i | 0.699728 | + | 0.608895i | ||||
\(268\) | −7.96663 | + | 20.5642i | −0.486639 | + | 1.25616i | ||||
\(269\) | 4.47376 | + | 4.68537i | 0.272770 | + | 0.285672i | 0.845391 | − | 0.534148i | \(-0.179368\pi\) |
−0.572621 | + | 0.819820i | \(0.694073\pi\) | |||||||
\(270\) | −2.15540 | − | 0.951701i | −0.131173 | − | 0.0579187i | ||||
\(271\) | 1.21893 | − | 13.1543i | 0.0740446 | − | 0.799069i | −0.875041 | − | 0.484050i | \(-0.839165\pi\) |
0.949085 | − | 0.315019i | \(-0.102011\pi\) | |||||||
\(272\) | 13.3089 | + | 8.53254i | 0.806968 | + | 0.517361i | ||||
\(273\) | 0.0496703 | + | 0.536028i | 0.00300618 | + | 0.0324419i | ||||
\(274\) | 0.411234 | − | 1.22696i | 0.0248436 | − | 0.0741231i | ||||
\(275\) | −17.9599 | + | 5.56154i | −1.08302 | + | 0.335374i | ||||
\(276\) | 3.22223 | − | 1.60448i | 0.193956 | − | 0.0965785i | ||||
\(277\) | 26.2722 | − | 17.1189i | 1.57854 | − | 1.02858i | 0.606113 | − | 0.795379i | \(-0.292728\pi\) |
0.972429 | − | 0.233198i | \(-0.0749191\pi\) | |||||||
\(278\) | −0.715298 | + | 0.335787i | −0.0429007 | + | 0.0201391i | ||||
\(279\) | 9.13218 | − | 3.29732i | 0.546730 | − | 0.197406i | ||||
\(280\) | 7.78206 | + | 4.33458i | 0.465067 | + | 0.259041i | ||||
\(281\) | −9.15953 | − | 3.06996i | −0.546411 | − | 0.183139i | 0.0311073 | − | 0.999516i | \(-0.490097\pi\) |
−0.577519 | + | 0.816377i | \(0.695979\pi\) | |||||||
\(282\) | −0.0391374 | + | 0.337345i | −0.00233060 | + | 0.0200886i | ||||
\(283\) | 0.598988 | + | 3.67198i | 0.0356061 | + | 0.218277i | 0.998705 | − | 0.0508701i | \(-0.0161995\pi\) |
−0.963099 | + | 0.269147i | \(0.913258\pi\) | |||||||
\(284\) | 1.56501 | − | 22.5470i | 0.0928663 | − | 1.33792i | ||||
\(285\) | −5.43670 | + | 5.96378i | −0.322043 | + | 0.353264i | ||||
\(286\) | 0.109428 | + | 0.0284199i | 0.00647060 | + | 0.00168050i | ||||
\(287\) | −12.4809 | − | 28.2665i | −0.736724 | − | 1.66852i | ||||
\(288\) | −4.02796 | −0.237350 | ||||||||
\(289\) | −4.13641 | − | 16.4891i | −0.243318 | − | 0.969946i | ||||
\(290\) | 1.48364 | 0.0871223 | ||||||||
\(291\) | 0.148659 | + | 0.336680i | 0.00871453 | + | 0.0197365i | ||||
\(292\) | −27.8671 | − | 7.23746i | −1.63080 | − | 0.423540i | ||||
\(293\) | 13.4104 | − | 14.7105i | 0.783442 | − | 0.859394i | −0.209523 | − | 0.977804i | \(-0.567191\pi\) |
0.992965 | + | 0.118409i | \(0.0377794\pi\) | |||||||
\(294\) | 0.167300 | − | 2.41028i | 0.00975713 | − | 0.140570i | ||||
\(295\) | 1.85623 | + | 11.3793i | 0.108074 | + | 0.662528i | ||||
\(296\) | −0.269406 | + | 2.32214i | −0.0156589 | + | 0.134972i | ||||
\(297\) | −26.7743 | − | 8.97384i | −1.55360 | − | 0.520715i | ||||
\(298\) | 0.649357 | + | 0.361690i | 0.0376162 | + | 0.0209521i | ||||
\(299\) | 0.208488 | − | 0.0752779i | 0.0120572 | − | 0.00435343i | ||||
\(300\) | −5.68845 | + | 2.67036i | −0.328423 | + | 0.154173i | ||||
\(301\) | −39.1033 | + | 25.4797i | −2.25388 | + | 1.46863i | ||||
\(302\) | −3.34481 | + | 1.66552i | −0.192472 | + | 0.0958397i | ||||
\(303\) | 3.66369 | − | 1.13451i | 0.210474 | − | 0.0651761i | ||||
\(304\) | −3.51276 | + | 10.4807i | −0.201471 | + | 0.601107i | ||||
\(305\) | 0.723082 | + | 7.80330i | 0.0414036 | + | 0.446815i | ||||
\(306\) | 1.02693 | + | 0.966138i | 0.0587058 | + | 0.0552304i | ||||
\(307\) | −1.86095 | + | 20.0828i | −0.106210 | + | 1.14619i | 0.761175 | + | 0.648547i | \(0.224623\pi\) |
−0.867384 | + | 0.497639i | \(0.834201\pi\) | |||||||
\(308\) | 48.4900 | + | 21.4104i | 2.76297 | + | 1.21997i | ||||
\(309\) | −3.01772 | − | 3.16047i | −0.171672 | − | 0.179793i | ||||
\(310\) | −0.818612 | + | 2.11308i | −0.0464940 | + | 0.120015i | ||||
\(311\) | −24.6131 | − | 21.4180i | −1.39568 | − | 1.21450i | −0.947173 | − | 0.320723i | \(-0.896074\pi\) |
−0.448505 | − | 0.893780i | \(-0.648044\pi\) | |||||||
\(312\) | 0.0756004 | + | 0.00877086i | 0.00428003 | + | 0.000496552i | ||||
\(313\) | −16.9038 | − | 11.0145i | −0.955460 | − | 0.622577i | −0.0292450 | − | 0.999572i | \(-0.509310\pi\) |
−0.926215 | + | 0.376995i | \(0.876957\pi\) | |||||||
\(314\) | −2.11825 | − | 0.295483i | −0.119540 | − | 0.0166751i | ||||
\(315\) | −21.2624 | − | 17.6561i | −1.19800 | − | 0.994808i | ||||
\(316\) | −3.89214 | − | 3.71635i | −0.218950 | − | 0.209061i | ||||
\(317\) | −10.4974 | − | 12.0634i | −0.589593 | − | 0.677547i | 0.379229 | − | 0.925303i | \(-0.376189\pi\) |
−0.968822 | + | 0.247756i | \(0.920307\pi\) | |||||||
\(318\) | −1.81181 | − | 0.654182i | −0.101601 | − | 0.0366847i | ||||
\(319\) | 17.7053 | − | 1.64064i | 0.991309 | − | 0.0918583i | ||||
\(320\) | −13.8630 | + | 15.9310i | −0.774966 | + | 0.890573i | ||||
\(321\) | −0.00509498 | + | 0.00283789i | −0.000284374 | + | 0.000158395i | ||||
\(322\) | −1.43720 | + | 0.268660i | −0.0800921 | + | 0.0149718i | ||||
\(323\) | 10.4737 | − | 5.62011i | 0.582772 | − | 0.312712i | ||||
\(324\) | 2.66241 | + | 0.497692i | 0.147912 | + | 0.0276495i | ||||
\(325\) | −0.366908 | + | 0.122975i | −0.0203524 | + | 0.00682143i | ||||
\(326\) | −0.209040 | − | 0.990957i | −0.0115776 | − | 0.0548840i | ||||
\(327\) | − | 9.11984i | − | 0.504328i | ||||||
\(328\) | −4.27443 | + | 0.901681i | −0.236016 | + | 0.0497870i | ||||
\(329\) | −3.75214 | + | 9.05847i | −0.206862 | + | 0.499410i | ||||
\(330\) | 2.30858 | − | 1.35667i | 0.127083 | − | 0.0746821i | ||||
\(331\) | 15.3550 | − | 0.709903i | 0.843986 | − | 0.0390198i | 0.380133 | − | 0.924932i | \(-0.375878\pi\) |
0.463853 | + | 0.885912i | \(0.346467\pi\) | |||||||
\(332\) | −1.68421 | − | 2.02822i | −0.0924333 | − | 0.111313i | ||||
\(333\) | 2.14549 | − | 6.92844i | 0.117572 | − | 0.379676i | ||||
\(334\) | 0.144137 | − | 0.221205i | 0.00788684 | − | 0.0121038i | ||||
\(335\) | 9.51438 | + | 30.7248i | 0.519826 | + | 1.67868i | ||||
\(336\) | 16.7972 | + | 4.77920i | 0.916360 | + | 0.260727i | ||||
\(337\) | −3.58337 | + | 21.9672i | −0.195198 | + | 1.19663i | 0.687322 | + | 0.726353i | \(0.258786\pi\) |
−0.882520 | + | 0.470274i | \(0.844155\pi\) | |||||||
\(338\) | −2.10569 | − | 0.495255i | −0.114535 | − | 0.0269383i | ||||
\(339\) | −0.753392 | − | 2.64790i | −0.0409186 | − | 0.143814i | ||||
\(340\) | 23.2745 | − | 2.33037i | 1.26224 | − | 0.126382i | ||||
\(341\) | −7.43239 | + | 26.1221i | −0.402487 | + | 1.41459i | ||||
\(342\) | −0.479715 | + | 0.861253i | −0.0259400 | + | 0.0465712i | ||||
\(343\) | 12.5632 | − | 34.7948i | 0.678350 | − | 1.87874i | ||||
\(344\) | 2.38363 | + | 6.15286i | 0.128517 | + | 0.331740i | ||||
\(345\) | 2.23091 | − | 4.75232i | 0.120108 | − | 0.255856i | ||||
\(346\) | 2.64833 | + | 2.09771i | 0.142375 | + | 0.112774i | ||||
\(347\) | 0.568142 | + | 8.18519i | 0.0304995 | + | 0.439404i | 0.988356 | + | 0.152158i | \(0.0486222\pi\) |
−0.957857 | + | 0.287246i | \(0.907260\pi\) | |||||||
\(348\) | 5.78523 | − | 1.36067i | 0.310121 | − | 0.0729397i | ||||
\(349\) | 8.66061 | + | 15.5488i | 0.463592 | + | 0.832307i | 0.999932 | − | 0.0116952i | \(-0.00372277\pi\) |
−0.536340 | + | 0.844002i | \(0.680193\pi\) | |||||||
\(350\) | 2.51917 | − | 0.410937i | 0.134655 | − | 0.0219655i | ||||
\(351\) | −0.555187 | − | 0.171922i | −0.0296337 | − | 0.00917649i | ||||
\(352\) | 6.58047 | − | 9.14580i | 0.350740 | − | 0.487473i | ||||
\(353\) | 10.7023 | + | 8.08202i | 0.569627 | + | 0.430162i | 0.847760 | − | 0.530380i | \(-0.177951\pi\) |
−0.278133 | + | 0.960543i | \(0.589716\pi\) | |||||||
\(354\) | −0.248656 | − | 0.600310i | −0.0132159 | − | 0.0319061i | ||||
\(355\) | −18.6287 | − | 27.1946i | −0.988709 | − | 1.44334i | ||||
\(356\) | 28.6422 | − | 11.0961i | 1.51803 | − | 0.588090i | ||||
\(357\) | −9.63403 | − | 16.1198i | −0.509887 | − | 0.853149i | ||||
\(358\) | 2.34836 | + | 0.909761i | 0.124115 | + | 0.0480823i | ||||
\(359\) | 7.17014 | + | 30.4856i | 0.378425 | + | 1.60897i | 0.737290 | + | 0.675577i | \(0.236105\pi\) |
−0.358864 | + | 0.933390i | \(0.616836\pi\) | |||||||
\(360\) | −3.06290 | + | 2.42609i | −0.161429 | + | 0.127866i | ||||
\(361\) | −7.20125 | − | 7.89940i | −0.379013 | − | 0.415758i | ||||
\(362\) | 0.647875 | + | 1.22911i | 0.0340516 | + | 0.0646006i | ||||
\(363\) | 17.3603 | − | 12.4909i | 0.911179 | − | 0.655600i | ||||
\(364\) | 1.00793 | + | 0.417499i | 0.0528300 | + | 0.0218829i | ||||
\(365\) | −38.4137 | + | 16.9613i | −2.01066 | + | 0.887795i | ||||
\(366\) | −0.140352 | − | 0.418754i | −0.00733632 | − | 0.0218886i | ||||
\(367\) | 1.62556 | + | 2.25927i | 0.0848537 | + | 0.117933i | 0.852006 | − | 0.523532i | \(-0.175386\pi\) |
−0.767152 | + | 0.641465i | \(0.778327\pi\) | |||||||
\(368\) | 0.166096 | − | 7.18903i | 0.00865834 | − | 0.374754i | ||||
\(369\) | 13.5501 | − | 0.313063i | 0.705392 | − | 0.0162974i | ||||
\(370\) | 0.891163 | + | 1.43928i | 0.0463293 | + | 0.0748244i | ||||
\(371\) | −45.1432 | − | 32.4809i | −2.34372 | − | 1.68632i | ||||
\(372\) | −1.25411 | + | 8.99040i | −0.0650224 | + | 0.466130i | ||||
\(373\) | 3.62861 | + | 7.28723i | 0.187882 | + | 0.377319i | 0.968998 | − | 0.247067i | \(-0.0794669\pi\) |
−0.781116 | + | 0.624386i | \(0.785349\pi\) | |||||||
\(374\) | −3.87138 | + | 0.753350i | −0.200185 | + | 0.0389548i | ||||
\(375\) | 2.15356 | − | 4.32493i | 0.111209 | − | 0.223338i | ||||
\(376\) | 1.14360 | + | 0.783387i | 0.0589769 | + | 0.0404001i | ||||
\(377\) | 0.363533 | − | 0.0421757i | 0.0187229 | − | 0.00217216i | ||||
\(378\) | 3.43171 | + | 1.70879i | 0.176508 | + | 0.0878907i | ||||
\(379\) | 19.4387 | + | 3.17092i | 0.998500 | + | 0.162879i | 0.638129 | − | 0.769930i | \(-0.279709\pi\) |
0.360372 | + | 0.932809i | \(0.382650\pi\) | |||||||
\(380\) | 5.55419 | + | 15.3827i | 0.284924 | + | 0.789118i | ||||
\(381\) | 7.34724 | − | 6.39348i | 0.376410 | − | 0.327548i | ||||
\(382\) | 2.34430 | − | 1.60588i | 0.119945 | − | 0.0821641i | ||||
\(383\) | −1.06324 | − | 7.62209i | −0.0543288 | − | 0.389471i | −0.998242 | − | 0.0592759i | \(-0.981121\pi\) |
0.943913 | − | 0.330195i | \(-0.107114\pi\) | |||||||
\(384\) | 2.33567 | − | 4.43110i | 0.119192 | − | 0.226124i | ||||
\(385\) | 74.8258 | − | 19.4333i | 3.81348 | − | 0.990410i | ||||
\(386\) | 0.580643 | + | 0.733053i | 0.0295540 | + | 0.0373114i | ||||
\(387\) | −3.76179 | − | 20.1238i | −0.191222 | − | 1.02295i | ||||
\(388\) | 0.744084 | + | 0.0516476i | 0.0377751 | + | 0.00262201i | ||||
\(389\) | −16.0289 | + | 13.3102i | −0.812698 | + | 0.674856i | −0.948813 | − | 0.315837i | \(-0.897715\pi\) |
0.136115 | + | 0.990693i | \(0.456538\pi\) | |||||||
\(390\) | 0.0468575 | − | 0.0290130i | 0.00237272 | − | 0.00146913i | ||||
\(391\) | −5.42721 | + | 5.50805i | −0.274466 | + | 0.278554i | ||||
\(392\) | −8.38469 | − | 5.19158i | −0.423491 | − | 0.262214i | ||||
\(393\) | 3.52121 | − | 0.491188i | 0.177622 | − | 0.0247771i | ||||
\(394\) | −0.0616990 | − | 0.0289637i | −0.00310835 | − | 0.00145917i | ||||
\(395\) | −7.81519 | − | 0.724184i | −0.393225 | − | 0.0364377i | ||||
\(396\) | −16.8162 | + | 16.0567i | −0.845046 | + | 0.806880i | ||||
\(397\) | −1.59158 | + | 0.110473i | −0.0798789 | + | 0.00554448i | −0.109128 | − | 0.994028i | \(-0.534806\pi\) |
0.0292494 | + | 0.999572i | \(0.490688\pi\) | |||||||
\(398\) | 0.844751 | + | 3.25263i | 0.0423436 | + | 0.163040i | ||||
\(399\) | 9.28457 | − | 9.28457i | 0.464810 | − | 0.464810i | ||||
\(400\) | −0.579772 | + | 12.5403i | −0.0289886 | + | 0.627014i | ||||
\(401\) | 11.7417 | + | 0.271280i | 0.586351 | + | 0.0135471i | 0.315258 | − | 0.949006i | \(-0.397909\pi\) |
0.271093 | + | 0.962553i | \(0.412615\pi\) | |||||||
\(402\) | −0.918389 | − | 1.56278i | −0.0458051 | − | 0.0779444i | ||||
\(403\) | −0.140514 | + | 0.541035i | −0.00699950 | + | 0.0269509i | ||||
\(404\) | 1.42824 | − | 7.64040i | 0.0710575 | − | 0.380124i | ||||
\(405\) | 3.49455 | − | 1.84201i | 0.173646 | − | 0.0915303i | ||||
\(406\) | −2.41140 | − | 0.111486i | −0.119676 | − | 0.00553295i | ||||
\(407\) | 12.2265 | + | 16.1905i | 0.606043 | + | 0.802531i | ||||
\(408\) | −2.51105 | + | 0.862320i | −0.124315 | + | 0.0426912i | ||||
\(409\) | −17.8909 | + | 23.6914i | −0.884650 | + | 1.17147i | 0.0996612 | + | 0.995021i | \(0.468224\pi\) |
−0.984311 | + | 0.176444i | \(0.943541\pi\) | |||||||
\(410\) | −2.02093 | + | 2.43371i | −0.0998067 | + | 0.120193i | ||||
\(411\) | −4.12728 | − | 6.33408i | −0.203584 | − | 0.312437i | ||||
\(412\) | −8.51785 | + | 2.42354i | −0.419645 | + | 0.119399i | ||||
\(413\) | −2.16191 | − | 18.6346i | −0.106381 | − | 0.916947i | ||||
\(414\) | 0.132375 | − | 0.627527i | 0.00650589 | − | 0.0308413i | ||||
\(415\) | −3.76221 | − | 0.793630i | −0.184680 | − | 0.0389577i | ||||
\(416\) | 0.131055 | − | 0.191317i | 0.00642550 | − | 0.00938007i | ||||
\(417\) | −1.05695 | + | 4.49388i | −0.0517591 | + | 0.220066i | ||||
\(418\) | −1.17183 | − | 2.49625i | −0.0573162 | − | 0.122096i | ||||
\(419\) | 3.24883 | − | 3.40250i | 0.158716 | − | 0.166223i | −0.639102 | − | 0.769122i | \(-0.720694\pi\) |
0.797817 | + | 0.602899i | \(0.205988\pi\) | |||||||
\(420\) | 23.8722 | − | 9.88818i | 1.16484 | − | 0.482494i | ||||
\(421\) | 3.73971 | − | 6.03985i | 0.182263 | − | 0.294364i | −0.746250 | − | 0.665666i | \(-0.768147\pi\) |
0.928512 | + | 0.371302i | \(0.121089\pi\) | |||||||
\(422\) | 1.56336 | − | 2.66030i | 0.0761031 | − | 0.129501i | ||||
\(423\) | −3.04113 | − | 3.04113i | −0.147865 | − | 0.147865i | ||||
\(424\) | −5.81055 | + | 5.29702i | −0.282185 | + | 0.257246i | ||||
\(425\) | 9.69418 | − | 9.39433i | 0.470237 | − | 0.455692i | ||||
\(426\) | 1.37284 | + | 1.25151i | 0.0665145 | + | 0.0606360i | ||||
\(427\) | −0.588879 | − | 12.7373i | −0.0284978 | − | 0.616399i | ||||
\(428\) | 0.000273000 | 0.0118161i | 1.31960e−5 | 0.000571154i | ||||||
\(429\) | 0.527101 | − | 0.398049i | 0.0254487 | − | 0.0192180i | ||||
\(430\) | 4.11951 | + | 2.42089i | 0.198661 | + | 0.116745i | ||||
\(431\) | −7.16144 | − | 3.77486i | −0.344955 | − | 0.181829i | 0.284870 | − | 0.958566i | \(-0.408050\pi\) |
−0.629824 | + | 0.776738i | \(0.716873\pi\) | |||||||
\(432\) | −11.7070 | + | 14.7799i | −0.563252 | + | 0.711097i | ||||
\(433\) | −12.3937 | + | 28.0690i | −0.595602 | + | 1.34891i | 0.320226 | + | 0.947341i | \(0.396241\pi\) |
−0.915829 | + | 0.401570i | \(0.868465\pi\) | |||||||
\(434\) | 1.48930 | − | 3.37294i | 0.0714886 | − | 0.161906i | ||||
\(435\) | 5.38189 | − | 6.79455i | 0.258042 | − | 0.325774i | ||||
\(436\) | −16.3501 | − | 8.61827i | −0.783027 | − | 0.412740i | ||||
\(437\) | −4.66129 | − | 2.73927i | −0.222980 | − | 0.131037i | ||||
\(438\) | 1.88850 | − | 1.42613i | 0.0902361 | − | 0.0681431i | ||||
\(439\) | −0.620478 | − | 26.8558i | −0.0296138 | − | 1.28176i | −0.782102 | − | 0.623151i | \(-0.785852\pi\) |
0.752488 | − | 0.658606i | \(-0.228854\pi\) | |||||||
\(440\) | −0.504772 | − | 10.9181i | −0.0240641 | − | 0.520498i | ||||
\(441\) | 22.6117 | + | 20.6133i | 1.07675 | + | 0.981587i | ||||
\(442\) | −0.0793013 | + | 0.0173417i | −0.00377198 | + | 0.000824863i | ||||
\(443\) | 5.24235 | − | 4.77903i | 0.249071 | − | 0.227059i | −0.539525 | − | 0.841969i | \(-0.681396\pi\) |
0.788597 | + | 0.614911i | \(0.210808\pi\) | |||||||
\(444\) | 4.79494 | + | 4.79494i | 0.227558 | + | 0.227558i | ||||
\(445\) | 22.6975 | − | 38.6234i | 1.07597 | − | 1.83092i | ||||
\(446\) | 2.29190 | − | 3.70155i | 0.108525 | − | 0.175273i | ||||
\(447\) | 4.01195 | − | 1.66180i | 0.189759 | − | 0.0786006i | ||||
\(448\) | 23.7291 | − | 24.8515i | 1.12109 | − | 1.17412i | ||||
\(449\) | 6.27909 | + | 13.3758i | 0.296328 | + | 0.631243i | 0.996578 | − | 0.0826546i | \(-0.0263398\pi\) |
−0.700250 | + | 0.713898i | \(0.746928\pi\) | |||||||
\(450\) | −0.256338 | + | 1.08988i | −0.0120839 | + | 0.0513775i | ||||
\(451\) | −21.4260 | + | 31.2781i | −1.00891 | + | 1.47283i | ||||
\(452\) | −5.45912 | − | 1.15159i | −0.256775 | − | 0.0541661i | ||||
\(453\) | −4.50577 | + | 21.3597i | −0.211700 | + | 1.00357i | ||||
\(454\) | −0.476685 | − | 4.10878i | −0.0223719 | − | 0.192835i | ||||
\(455\) | 1.53041 | − | 0.435440i | 0.0717469 | − | 0.0204137i | ||||
\(456\) | −1.01344 | − | 1.55531i | −0.0474586 | − | 0.0728340i | ||||
\(457\) | −22.2625 | + | 26.8097i | −1.04139 | + | 1.25410i | −0.0749612 | + | 0.997186i | \(0.523883\pi\) |
−0.966433 | + | 0.256917i | \(0.917293\pi\) | |||||||
\(458\) | −1.20227 | + | 1.59207i | −0.0561786 | + | 0.0743925i | ||||
\(459\) | 20.0592 | − | 2.94948i | 0.936284 | − | 0.137670i | ||||
\(460\) | −6.41176 | − | 8.49054i | −0.298950 | − | 0.395874i | ||||
\(461\) | −19.9300 | − | 0.921418i | −0.928232 | − | 0.0429147i | −0.423220 | − | 0.906027i | \(-0.639100\pi\) |
−0.505012 | + | 0.863112i | \(0.668512\pi\) | |||||||
\(462\) | −3.85415 | + | 2.03156i | −0.179311 | + | 0.0945166i | ||||
\(463\) | 5.37961 | − | 28.7784i | 0.250012 | − | 1.33744i | −0.595443 | − | 0.803397i | \(-0.703024\pi\) |
0.845455 | − | 0.534047i | \(-0.179329\pi\) | |||||||
\(464\) | 2.98444 | − | 11.4913i | 0.138549 | − | 0.533470i | ||||
\(465\) | 6.70767 | + | 11.4141i | 0.311061 | + | 0.529318i | ||||
\(466\) | 3.14154 | + | 0.0725824i | 0.145529 | + | 0.00336231i | ||||
\(467\) | 1.57111 | − | 33.9826i | 0.0727024 | − | 1.57253i | −0.579811 | − | 0.814751i | \(-0.696874\pi\) |
0.652514 | − | 0.757777i | \(-0.273715\pi\) | |||||||
\(468\) | −0.338385 | + | 0.338385i | −0.0156418 | + | 0.0156418i | ||||
\(469\) | −13.1552 | − | 50.6529i | −0.607452 | − | 2.33893i | ||||
\(470\) | 1.00139 | − | 0.0695072i | 0.0461905 | − | 0.00320613i | ||||
\(471\) | −9.03714 | + | 8.62898i | −0.416409 | + | 0.397603i | ||||
\(472\) | −2.64088 | − | 0.244714i | −0.121557 | − | 0.0112639i | ||||
\(473\) | 51.8382 | + | 24.3347i | 2.38352 | + | 1.11891i | ||||
\(474\) | 0.438080 | − | 0.0611096i | 0.0201217 | − | 0.00280686i | ||||
\(475\) | 8.02487 | + | 4.96879i | 0.368206 | + | 0.227984i | ||||
\(476\) | −38.0038 | + | 2.03869i | −1.74190 | + | 0.0934431i | ||||
\(477\) | 20.7408 | − | 12.8421i | 0.949654 | − | 0.588001i | ||||
\(478\) | −0.161641 | + | 0.134225i | −0.00739328 | + | 0.00613930i | ||||
\(479\) | 21.8432 | + | 1.51616i | 0.998043 | + | 0.0692752i | 0.558980 | − | 0.829181i | \(-0.311193\pi\) |
0.439063 | + | 0.898456i | \(0.355310\pi\) | |||||||
\(480\) | −1.00922 | − | 5.39887i | −0.0460646 | − | 0.246424i | ||||
\(481\) | 0.259275 | + | 0.327330i | 0.0118219 | + | 0.0149250i | ||||
\(482\) | −2.14386 | + | 0.556790i | −0.0976503 | + | 0.0253611i | ||||
\(483\) | −3.98307 | + | 7.55644i | −0.181236 | + | 0.343830i | ||||
\(484\) | −5.98813 | − | 42.9275i | −0.272188 | − | 1.95125i | ||||
\(485\) | 0.897459 | − | 0.614774i | 0.0407515 | − | 0.0279155i | ||||
\(486\) | −2.02170 | + | 1.75926i | −0.0917060 | + | 0.0798015i | ||||
\(487\) | 11.3200 | + | 31.3515i | 0.512957 | + | 1.42067i | 0.872992 | + | 0.487734i | \(0.162177\pi\) |
−0.360035 | + | 0.932939i | \(0.617235\pi\) | |||||||
\(488\) | −1.77918 | − | 0.290227i | −0.0805398 | − | 0.0131380i | ||||
\(489\) | −5.29653 | − | 2.63736i | −0.239517 | − | 0.119265i | ||||
\(490\) | −7.09376 | + | 0.822990i | −0.320463 | + | 0.0371789i | ||||
\(491\) | 29.0386 | + | 19.8919i | 1.31050 | + | 0.897710i | 0.998625 | − | 0.0524146i | \(-0.0166917\pi\) |
0.311870 | + | 0.950125i | \(0.399045\pi\) | |||||||
\(492\) | −5.64831 | + | 11.3433i | −0.254645 | + | 0.511397i | ||||
\(493\) | −10.8046 | + | 6.80093i | −0.486614 | + | 0.306299i | ||||
\(494\) | −0.0252989 | − | 0.0508070i | −0.00113825 | − | 0.00228592i | ||||
\(495\) | −4.68497 | + | 33.5854i | −0.210574 | + | 1.50955i | ||||
\(496\) | 14.7198 | + | 10.5910i | 0.660941 | + | 0.475552i | ||||
\(497\) | 28.2343 | + | 45.5999i | 1.26648 | + | 2.04544i | ||||
\(498\) | 0.216633 | − | 0.00500509i | 0.00970754 | − | 0.000224283i | ||||
\(499\) | 0.166500 | − | 7.20654i | 0.00745358 | − | 0.322609i | −0.982908 | − | 0.184100i | \(-0.941063\pi\) |
0.990361 | − | 0.138509i | \(-0.0442311\pi\) | |||||||
\(500\) | −5.71863 | − | 7.94798i | −0.255745 | − | 0.355445i | ||||
\(501\) | −0.490187 | − | 1.46252i | −0.0218999 | − | 0.0653405i | ||||
\(502\) | 2.51423 | − | 1.11014i | 0.112216 | − | 0.0495481i | ||||
\(503\) | 2.11011 | + | 0.874035i | 0.0940850 | + | 0.0389713i | 0.429230 | − | 0.903195i | \(-0.358785\pi\) |
−0.335145 | + | 0.942167i | \(0.608785\pi\) | |||||||
\(504\) | 5.16053 | − | 3.71304i | 0.229868 | − | 0.165392i | ||||
\(505\) | −5.28607 | − | 10.0284i | −0.235227 | − | 0.446259i | ||||
\(506\) | 1.20859 | + | 1.32576i | 0.0537283 | + | 0.0589371i | ||||
\(507\) | −9.90648 | + | 7.84681i | −0.439962 | + | 0.348489i | ||||
\(508\) | −4.51910 | − | 19.2140i | −0.200502 | − | 0.852484i | ||||
\(509\) | −21.3174 | − | 8.25840i | −0.944876 | − | 0.366047i | −0.160993 | − | 0.986956i | \(-0.551470\pi\) |
−0.783883 | + | 0.620909i | \(0.786764\pi\) | |||||||
\(510\) | −1.03766 | + | 1.61851i | −0.0459483 | + | 0.0716690i | ||||
\(511\) | 63.7094 | − | 24.6812i | 2.81834 | − | 1.09183i | ||||
\(512\) | −7.11915 | − | 10.3927i | −0.314625 | − | 0.459296i | ||||
\(513\) | 5.42495 | + | 13.0970i | 0.239517 | + | 0.578246i | ||||
\(514\) | −2.31880 | − | 1.75108i | −0.102278 | − | 0.0772368i | ||||
\(515\) | −7.54352 | + | 10.4843i | −0.332407 | + | 0.461993i | ||||
\(516\) | 18.2837 | + | 5.66179i | 0.804893 | + | 0.249247i | ||||
\(517\) | 11.8734 | − | 1.93683i | 0.522192 | − | 0.0851819i | ||||
\(518\) | −1.34028 | − | 2.40626i | −0.0588885 | − | 0.105725i | ||||
\(519\) | 19.2136 | − | 4.51899i | 0.843382 | − | 0.198362i | ||||
\(520\) | −0.0155769 | − | 0.224415i | −0.000683091 | − | 0.00984125i | ||||
\(521\) | −30.6254 | − | 24.2580i | −1.34172 | − | 1.06276i | −0.992044 | − | 0.125893i | \(-0.959820\pi\) |
−0.349678 | − | 0.936870i | \(-0.613709\pi\) | |||||||
\(522\) | 0.449960 | − | 0.958513i | 0.0196942 | − | 0.0419530i | ||||
\(523\) | 2.66517 | + | 6.87959i | 0.116540 | + | 0.300824i | 0.978531 | − | 0.206099i | \(-0.0660770\pi\) |
−0.861991 | + | 0.506923i | \(0.830783\pi\) | |||||||
\(524\) | 2.44695 | − | 6.77701i | 0.106896 | − | 0.296055i | ||||
\(525\) | 7.25633 | − | 13.0276i | 0.316692 | − | 0.568571i | ||||
\(526\) | −0.502442 | + | 1.76590i | −0.0219075 | + | 0.0769969i | ||||
\(527\) | −3.72473 | − | 19.1410i | −0.162252 | − | 0.833794i | ||||
\(528\) | −5.86399 | − | 20.6098i | −0.255198 | − | 0.896926i | ||||
\(529\) | −18.9653 | − | 4.46059i | −0.824576 | − | 0.193939i | ||||
\(530\) | −0.916653 | + | 5.61937i | −0.0398169 | + | 0.244090i | ||||
\(531\) | 7.91461 | + | 2.25190i | 0.343465 | + | 0.0977241i | ||||
\(532\) | −7.87147 | − | 25.4194i | −0.341271 | − | 1.10207i | ||||
\(533\) | −0.426001 | + | 0.653778i | −0.0184522 | + | 0.0283183i | ||||
\(534\) | −0.746821 | + | 2.41171i | −0.0323181 | + | 0.104365i | ||||
\(535\) | 0.0110125 | + | 0.0132618i | 0.000476110 | + | 0.000573358i | ||||
\(536\) | −7.39091 | + | 0.341702i | −0.319239 | + | 0.0147593i | ||||
\(537\) | 12.6851 | − | 7.45454i | 0.547400 | − | 0.321687i | ||||
\(538\) | −0.412957 | + | 0.996967i | −0.0178038 | + | 0.0429823i | ||||
\(539\) | −83.7448 | + | 17.6658i | −3.60714 | + | 0.760918i | ||||
\(540\) | 27.8969i | 1.20049i | ||||||||
\(541\) | 6.68227 | + | 31.6774i | 0.287293 | + | 1.36192i | 0.846279 | + | 0.532740i | \(0.178838\pi\) |
−0.558986 | + | 0.829177i | \(0.688809\pi\) | |||||||
\(542\) | 2.08650 | − | 0.699324i | 0.0896228 | − | 0.0300385i | ||||
\(543\) | 7.97906 | + | 1.49154i | 0.342414 | + | 0.0640083i | ||||
\(544\) | −1.24336 | + | 7.99364i | −0.0533084 | + | 0.342725i | ||||
\(545\) | −26.4970 | + | 4.95315i | −1.13501 | + | 0.212170i | ||||
\(546\) | −0.0783390 | + | 0.0436346i | −0.00335260 | + | 0.00186739i | ||||
\(547\) | 2.91432 | − | 3.34907i | 0.124607 | − | 0.143196i | −0.688664 | − | 0.725081i | \(-0.741802\pi\) |
0.813271 | + | 0.581885i | \(0.197685\pi\) | |||||||
\(548\) | −15.2561 | + | 1.41368i | −0.651707 | + | 0.0603895i | ||||
\(549\) | 5.26065 | + | 1.89944i | 0.224519 | + | 0.0810663i | ||||
\(550\) | −2.05588 | − | 2.36257i | −0.0876631 | − | 0.100740i | ||||
\(551\) | −6.45609 | − | 6.16450i | −0.275039 | − | 0.262617i | ||||
\(552\) | 0.929083 | + | 0.771501i | 0.0395444 | + | 0.0328373i | ||||
\(553\) | 12.6478 | + | 1.76430i | 0.537841 | + | 0.0750256i | ||||
\(554\) | 4.37630 | + | 2.85159i | 0.185931 | + | 0.121152i | ||||
\(555\) | 9.82407 | + | 1.13975i | 0.417009 | + | 0.0483797i | ||||
\(556\) | 7.05782 | + | 6.14163i | 0.299318 | + | 0.260463i | ||||
\(557\) | −9.16297 | + | 23.6523i | −0.388247 | + | 1.00218i | 0.592268 | + | 0.805741i | \(0.298233\pi\) |
−0.980516 | + | 0.196441i | \(0.937062\pi\) | |||||||
\(558\) | 1.11690 | + | 1.16973i | 0.0472820 | + | 0.0495185i | ||||
\(559\) | 1.07822 | + | 0.476079i | 0.0456037 | + | 0.0201360i | ||||
\(560\) | 4.76278 | − | 51.3986i | 0.201264 | − | 2.17199i | ||||
\(561\) | −10.5933 | + | 20.4624i | −0.447251 | + | 0.863922i | ||||
\(562\) | −0.148475 | − | 1.60230i | −0.00626306 | − | 0.0675891i | ||||
\(563\) | −2.54181 | + | 7.58374i | −0.107125 | + | 0.319616i | −0.988158 | − | 0.153437i | \(-0.950966\pi\) |
0.881034 | + | 0.473053i | \(0.156848\pi\) | |||||||
\(564\) | 3.84101 | − | 1.18942i | 0.161736 | − | 0.0500837i | ||||
\(565\) | −7.28409 | + | 3.62705i | −0.306444 | + | 0.152591i | ||||
\(566\) | −0.519243 | + | 0.338338i | −0.0218254 | + | 0.0142214i | ||||
\(567\) | −5.81822 | + | 2.73128i | −0.244342 | + | 0.114703i | ||||
\(568\) | 7.13194 | − | 2.57510i | 0.299250 | − | 0.108049i | ||||
\(569\) | −4.17379 | − | 2.32479i | −0.174975 | − | 0.0974602i | 0.396671 | − | 0.917961i | \(-0.370165\pi\) |
−0.571646 | + | 0.820501i | \(0.693695\pi\) | |||||||
\(570\) | −1.27457 | − | 0.427194i | −0.0533860 | − | 0.0178932i | ||||
\(571\) | −4.91323 | + | 42.3495i | −0.205612 | + | 1.77227i | 0.346061 | + | 0.938212i | \(0.387519\pi\) |
−0.551673 | + | 0.834061i | \(0.686010\pi\) | |||||||
\(572\) | −0.215511 | − | 1.32115i | −0.00901095 | − | 0.0552399i | ||||
\(573\) | 1.14954 | − | 16.5614i | 0.0480228 | − | 0.691862i | ||||
\(574\) | 3.46756 | − | 3.80373i | 0.144733 | − | 0.158764i | ||||
\(575\) | −5.94311 | − | 1.54350i | −0.247845 | − | 0.0643685i | ||||
\(576\) | 6.08793 | + | 13.7879i | 0.253664 | + | 0.574494i | ||||
\(577\) | −15.3262 | −0.638039 | −0.319020 | − | 0.947748i | \(-0.603354\pi\) | ||||
−0.319020 | + | 0.947748i | \(0.603354\pi\) | |||||||
\(578\) | 2.23433 | − | 1.73975i | 0.0929359 | − | 0.0723643i | ||||
\(579\) | 5.46341 | 0.227051 | ||||||||
\(580\) | −7.09540 | − | 16.0695i | −0.294620 | − | 0.667252i | ||||
\(581\) | 6.05520 | + | 1.57261i | 0.251212 | + | 0.0652431i | ||||
\(582\) | −0.0413017 | + | 0.0453058i | −0.00171201 | + | 0.00187799i | ||||
\(583\) | −4.72506 | + | 68.0736i | −0.195692 | + | 2.81932i | ||||
\(584\) | −1.55513 | − | 9.53342i | −0.0643516 | − | 0.394496i | ||||
\(585\) | −0.0804336 | + | 0.693297i | −0.00332552 | + | 0.0286643i | ||||
\(586\) | 3.14390 | + | 1.05373i | 0.129873 | + | 0.0435292i | ||||
\(587\) | −10.1934 | − | 5.67767i | −0.420725 | − | 0.234342i | 0.261924 | − | 0.965088i | \(-0.415643\pi\) |
−0.682649 | + | 0.730746i | \(0.739172\pi\) | |||||||
\(588\) | −26.9062 | + | 9.71494i | −1.10959 | + | 0.400637i | ||||
\(589\) | 12.3420 | − | 5.79379i | 0.508544 | − | 0.238729i | ||||
\(590\) | −1.60911 | + | 1.04849i | −0.0662459 | + | 0.0431658i | ||||
\(591\) | −0.356456 | + | 0.177494i | −0.0146627 | + | 0.00730113i | ||||
\(592\) | 12.9403 | − | 4.00716i | 0.531844 | − | 0.164693i | ||||
\(593\) | 8.04483 | − | 24.0025i | 0.330362 | − | 0.985665i | −0.644835 | − | 0.764322i | \(-0.723074\pi\) |
0.975196 | − | 0.221343i | \(-0.0710439\pi\) | |||||||
\(594\) | −0.434010 | − | 4.68371i | −0.0178076 | − | 0.192175i | ||||
\(595\) | −41.6024 | + | 36.7459i | −1.70553 | + | 1.50644i | ||||
\(596\) | 0.812016 | − | 8.76305i | 0.0332615 | − | 0.358948i | ||||
\(597\) | 17.9602 | + | 7.93023i | 0.735064 | + | 0.324563i | ||||
\(598\) | 0.0254987 | + | 0.0267048i | 0.00104272 | + | 0.00109204i | ||||
\(599\) | −11.3750 | + | 29.3623i | −0.464770 | + | 1.19971i | 0.481532 | + | 0.876428i | \(0.340080\pi\) |
−0.946303 | + | 0.323282i | \(0.895214\pi\) | |||||||
\(600\) | −1.59041 | − | 1.38396i | −0.0649284 | − | 0.0564999i | ||||
\(601\) | −7.81875 | − | 0.907101i | −0.318933 | − | 0.0370014i | −0.0457183 | − | 0.998954i | \(-0.514558\pi\) |
−0.273215 | + | 0.961953i | \(0.588087\pi\) | |||||||
\(602\) | −6.51365 | − | 4.24429i | −0.265477 | − | 0.172984i | ||||
\(603\) | 22.7355 | + | 3.17146i | 0.925859 | + | 0.129152i | ||||
\(604\) | 34.0358 | + | 28.2630i | 1.38490 | + | 1.15000i | ||||
\(605\) | −45.7200 | − | 43.6551i | −1.85878 | − | 1.77483i | ||||
\(606\) | 0.419385 | + | 0.481947i | 0.0170363 | + | 0.0195778i | ||||
\(607\) | −12.6826 | − | 4.57927i | −0.514772 | − | 0.185867i | 0.0692580 | − | 0.997599i | \(-0.477937\pi\) |
−0.584030 | + | 0.811732i | \(0.698525\pi\) | |||||||
\(608\) | −5.63218 | + | 0.521899i | −0.228415 | + | 0.0211658i | ||||
\(609\) | −9.25791 | + | 10.6390i | −0.375149 | + | 0.431113i | ||||
\(610\) | −1.14043 | + | 0.635216i | −0.0461747 | + | 0.0257191i | ||||
\(611\) | 0.243392 | − | 0.0454978i | 0.00984659 | − | 0.00184065i | ||||
\(612\) | 5.55318 | − | 15.7434i | 0.224474 | − | 0.636387i | ||||
\(613\) | 2.81389 | + | 0.526007i | 0.113652 | + | 0.0212452i | 0.240268 | − | 0.970707i | \(-0.422765\pi\) |
−0.126616 | + | 0.991952i | \(0.540412\pi\) | |||||||
\(614\) | −3.18547 | + | 1.06766i | −0.128555 | + | 0.0430873i | ||||
\(615\) | 3.81466 | + | 18.0834i | 0.153822 | + | 0.729195i | ||||
\(616\) | 17.7834i | 0.716512i | ||||||||
\(617\) | 15.3775 | − | 3.24384i | 0.619073 | − | 0.130592i | 0.113732 | − | 0.993511i | \(-0.463720\pi\) |
0.505341 | + | 0.862920i | \(0.331367\pi\) | |||||||
\(618\) | 0.278556 | − | 0.672493i | 0.0112052 | − | 0.0270517i | ||||
\(619\) | 30.8406 | − | 18.1239i | 1.23959 | − | 0.728461i | 0.267611 | − | 0.963527i | \(-0.413766\pi\) |
0.971979 | + | 0.235066i | \(0.0755306\pi\) | |||||||
\(620\) | 26.8021 | − | 1.23913i | 1.07640 | − | 0.0497649i | ||||
\(621\) | −5.89159 | − | 7.09497i | −0.236421 | − | 0.284711i | ||||
\(622\) | 1.60767 | − | 5.19166i | 0.0644618 | − | 0.208167i | ||||
\(623\) | −39.7932 | + | 61.0701i | −1.59428 | + | 2.44672i | ||||
\(624\) | −0.130458 | − | 0.421289i | −0.00522251 | − | 0.0168651i | ||||
\(625\) | −29.4808 | − | 8.38800i | −1.17923 | − | 0.335520i | ||||
\(626\) | 0.541070 | − | 3.31693i | 0.0216255 | − | 0.132571i | ||||
\(627\) | −15.6828 | − | 3.68856i | −0.626310 | − | 0.147307i | ||||
\(628\) | 6.92995 | + | 24.3562i | 0.276535 | + | 0.971920i | ||||
\(629\) | −13.0875 | − | 6.39648i | −0.521831 | − | 0.255044i | ||||
\(630\) | 1.25987 | − | 4.42797i | 0.0501943 | − | 0.176415i | ||||
\(631\) | 8.32189 | − | 14.9407i | 0.331289 | − | 0.594778i | −0.655803 | − | 0.754932i | \(-0.727670\pi\) |
0.987092 | + | 0.160154i | \(0.0511991\pi\) | |||||||
\(632\) | 0.613143 | − | 1.69814i | 0.0243895 | − | 0.0675485i | ||||
\(633\) | −6.51217 | − | 16.8098i | −0.258836 | − | 0.668131i | ||||
\(634\) | 1.13194 | − | 2.41128i | 0.0449552 | − | 0.0957642i | ||||
\(635\) | −22.5662 | − | 17.8745i | −0.895513 | − | 0.709326i | ||||
\(636\) | 1.57928 | + | 22.7525i | 0.0626224 | + | 0.902197i | ||||
\(637\) | −1.71477 | + | 0.403311i | −0.0679419 | + | 0.0159798i | ||||
\(638\) | 1.44128 | + | 2.58759i | 0.0570607 | + | 0.102444i | ||||
\(639\) | −23.2189 | + | 3.78756i | −0.918526 | + | 0.149834i | ||||
\(640\) | −14.1428 | − | 4.37951i | −0.559043 | − | 0.173116i | ||||
\(641\) | 20.6229 | − | 28.6625i | 0.814555 | − | 1.13210i | −0.174515 | − | 0.984654i | \(-0.555836\pi\) |
0.989070 | − | 0.147446i | \(-0.0471054\pi\) | |||||||
\(642\) | −0.000775250 | 0 | 0.000585442i | −3.05967e−5 | 0 | 2.31055e-5i | ||||
\(643\) | 6.58712 | + | 15.9027i | 0.259770 | + | 0.627141i | 0.998923 | − | 0.0463966i | \(-0.0147738\pi\) |
−0.739153 | + | 0.673538i | \(0.764774\pi\) | |||||||
\(644\) | 9.78321 | + | 14.2817i | 0.385513 | + | 0.562779i | ||||
\(645\) | 26.0303 | − | 10.0842i | 1.02494 | − | 0.397065i | ||||
\(646\) | 1.56111 | + | 1.21786i | 0.0614210 | + | 0.0479162i | ||||
\(647\) | 27.8958 | + | 10.8069i | 1.09670 | + | 0.424863i | 0.840528 | − | 0.541768i | \(-0.182245\pi\) |
0.256171 | + | 0.966632i | \(0.417539\pi\) | |||||||
\(648\) | 0.208047 | + | 0.884560i | 0.00817284 | + | 0.0347488i | ||||
\(649\) | −18.0432 | + | 14.2918i | −0.708257 | + | 0.561002i | ||||
\(650\) | −0.0434260 | − | 0.0476360i | −0.00170331 | − | 0.00186844i | ||||
\(651\) | −10.0445 | − | 19.0558i | −0.393674 | − | 0.746854i | ||||
\(652\) | −9.73350 | + | 7.00332i | −0.381193 | + | 0.274271i | ||||
\(653\) | −18.1933 | − | 7.53592i | −0.711960 | − | 0.294903i | −0.00284456 | − | 0.999996i | \(-0.500905\pi\) |
−0.709115 | + | 0.705093i | \(0.750905\pi\) | |||||||
\(654\) | 1.38970 | − | 0.613612i | 0.0543415 | − | 0.0239941i | ||||
\(655\) | −3.33955 | − | 9.96385i | −0.130487 | − | 0.389320i | ||||
\(656\) | 14.7847 | + | 20.5484i | 0.577246 | + | 0.802280i | ||||
\(657\) | −0.692230 | + | 29.9614i | −0.0270065 | + | 1.16891i | ||||
\(658\) | −1.63281 | + | 0.0377244i | −0.0636534 | + | 0.00147065i | ||||
\(659\) | −14.9960 | − | 24.2194i | −0.584162 | − | 0.943454i | −0.999430 | − | 0.0337549i | \(-0.989253\pi\) |
0.415268 | − | 0.909699i | \(-0.363688\pi\) | |||||||
\(660\) | −25.7349 | − | 18.5165i | −1.00173 | − | 0.720753i | ||||
\(661\) | −3.92718 | + | 28.1531i | −0.152750 | + | 1.09503i | 0.748938 | + | 0.662640i | \(0.230564\pi\) |
−0.901688 | + | 0.432387i | \(0.857671\pi\) | |||||||
\(662\) | 1.14131 | + | 2.29206i | 0.0443582 | + | 0.0890834i | ||||
\(663\) | −0.208246 | + | 0.426079i | −0.00808759 | + | 0.0165476i | ||||
\(664\) | 0.394245 | − | 0.791750i | 0.0152997 | − | 0.0307258i | ||||
\(665\) | −32.0183 | − | 21.9330i | −1.24162 | − | 0.850526i | ||||
\(666\) | 1.20012 | − | 0.139234i | 0.0465039 | − | 0.00539520i | ||||
\(667\) | 5.19831 | + | 2.58845i | 0.201279 | + | 0.100225i | ||||
\(668\) | −3.08524 | − | 0.503276i | −0.119371 | − | 0.0194723i | ||||
\(669\) | −8.63795 | − | 23.9234i | −0.333962 | − | 0.924934i | ||||
\(670\) | −4.04175 | + | 3.51709i | −0.156147 | + | 0.135877i | ||||
\(671\) | −12.9071 | + | 8.84160i | −0.498275 | + | 0.341326i | ||||
\(672\) | 1.23463 | + | 8.85078i | 0.0476269 | + | 0.341426i | ||||
\(673\) | −14.9032 | + | 28.2734i | −0.574475 | + | 1.08986i | 0.409626 | + | 0.912253i | \(0.365659\pi\) |
−0.984102 | + | 0.177607i | \(0.943164\pi\) | |||||||
\(674\) | −3.58850 | + | 0.931981i | −0.138224 | + | 0.0358986i | ||||
\(675\) | 9.99646 | + | 12.6204i | 0.384764 | + | 0.485759i | ||||
\(676\) | 4.70614 | + | 25.1756i | 0.181006 | + | 0.968294i | ||||
\(677\) | 27.6630 | + | 1.92012i | 1.06318 | + | 0.0737961i | 0.590183 | − | 0.807270i | \(-0.299056\pi\) |
0.472994 | + | 0.881066i | \(0.343173\pi\) | |||||||
\(678\) | 0.352801 | − | 0.292962i | 0.0135493 | − | 0.0112512i | ||||
\(679\) | −1.50486 | + | 0.931772i | −0.0577513 | + | 0.0357581i | ||||
\(680\) | 3.86921 | + | 6.82733i | 0.148377 | + | 0.261816i | ||||
\(681\) | −20.5460 | − | 12.7215i | −0.787323 | − | 0.487489i | ||||
\(682\) | −4.48062 | + | 0.625020i | −0.171572 | + | 0.0239333i | ||||
\(683\) | −10.0552 | − | 4.72028i | −0.384752 | − | 0.180616i | 0.222860 | − | 0.974850i | \(-0.428461\pi\) |
−0.607612 | + | 0.794234i | \(0.707872\pi\) | |||||||
\(684\) | 11.6226 | + | 1.07699i | 0.444400 | + | 0.0411797i | ||||
\(685\) | −16.1616 | + | 15.4317i | −0.617504 | + | 0.589614i | ||||
\(686\) | 6.14739 | − | 0.426697i | 0.234709 | − | 0.0162914i | ||||
\(687\) | 2.92988 | + | 11.2812i | 0.111782 | + | 0.430405i | ||||
\(688\) | 27.0373 | − | 27.0373i | 1.03079 | − | 1.03079i | ||||
\(689\) | −0.0648628 | + | 1.40296i | −0.00247108 | + | 0.0534486i | ||||
\(690\) | 0.874271 | + | 0.0201992i | 0.0332829 | + | 0.000768971i | ||||
\(691\) | 2.92001 | + | 4.96886i | 0.111083 | + | 0.189024i | 0.912495 | − | 0.409088i | \(-0.134153\pi\) |
−0.801412 | + | 0.598112i | \(0.795918\pi\) | |||||||
\(692\) | 10.0552 | − | 38.7166i | 0.382242 | − | 1.47179i | ||||
\(693\) | 10.1383 | − | 54.2353i | 0.385124 | − | 2.06023i | ||||
\(694\) | −1.20905 | + | 0.637301i | −0.0458949 | + | 0.0241916i | ||||
\(695\) | 13.6307 | + | 0.630185i | 0.517041 | + | 0.0239043i | ||||
\(696\) | 1.20158 | + | 1.59114i | 0.0455456 | + | 0.0603121i | ||||
\(697\) | 3.56138 | − | 26.9874i | 0.134897 | − | 1.02222i | ||||
\(698\) | −1.78664 | + | 2.36589i | −0.0676254 | + | 0.0895504i | ||||
\(699\) | 11.7283 | − | 14.1239i | 0.443606 | − | 0.534214i | ||||
\(700\) | −16.4987 | − | 25.3203i | −0.623592 | − | 0.957018i | ||||
\(701\) | 0.252401 | − | 0.0718142i | 0.00953305 | − | 0.00271239i | −0.268893 | − | 0.963170i | \(-0.586658\pi\) |
0.278426 | + | 0.960458i | \(0.410187\pi\) | |||||||
\(702\) | −0.0111570 | − | 0.0961680i | −0.000421095 | − | 0.00362963i | ||||
\(703\) | 2.10226 | − | 9.96581i | 0.0792884 | − | 0.375868i | ||||
\(704\) | −41.2522 | − | 8.70205i | −1.55475 | − | 0.327971i | ||||
\(705\) | 3.31420 | − | 4.83814i | 0.124820 | − | 0.182215i | ||||
\(706\) | −0.511467 | + | 2.17463i | −0.0192493 | + | 0.0818431i | ||||
\(707\) | 7.83803 | + | 16.6967i | 0.294779 | + | 0.627943i | ||||
\(708\) | −5.31287 | + | 5.56418i | −0.199670 | + | 0.209115i | ||||
\(709\) | 11.5401 | − | 4.78007i | 0.433398 | − | 0.179519i | −0.155309 | − | 0.987866i | \(-0.549637\pi\) |
0.588707 | + | 0.808347i | \(0.299637\pi\) | |||||||
\(710\) | 2.89056 | − | 4.66842i | 0.108481 | − | 0.175203i | ||||
\(711\) | −2.83807 | + | 4.82941i | −0.106436 | + | 0.181117i | ||||
\(712\) | 7.28686 | + | 7.28686i | 0.273087 | + | 0.273087i | ||||
\(713\) | −6.55483 | + | 5.97552i | −0.245480 | + | 0.223785i | ||||
\(714\) | 1.80816 | − | 2.55265i | 0.0676686 | − | 0.0955303i | ||||
\(715\) | −1.44278 | − | 1.31527i | −0.0539569 | − | 0.0491882i | ||||
\(716\) | −1.37711 | − | 29.7864i | −0.0514649 | − | 1.11317i | ||||
\(717\) | 0.0283523 | + | 1.22716i | 0.00105884 | + | 0.0458291i | ||||
\(718\) | −4.16302 | + | 3.14377i | −0.155363 | + | 0.117324i | ||||
\(719\) | 29.0238 | + | 17.0562i | 1.08241 | + | 0.636090i | 0.935595 | − | 0.353074i | \(-0.114864\pi\) |
0.146811 | + | 0.989165i | \(0.453099\pi\) | |||||||
\(720\) | 20.0299 | + | 10.5580i | 0.746471 | + | 0.393472i | ||||
\(721\) | 13.0485 | − | 16.4736i | 0.485953 | − | 0.613508i | ||||
\(722\) | 0.719203 | − | 1.62884i | 0.0267660 | − | 0.0606191i | ||||
\(723\) | −5.22694 | + | 11.8379i | −0.194392 | + | 0.440256i | ||||
\(724\) | 10.2143 | − | 12.8954i | 0.379611 | − | 0.479253i | ||||
\(725\) | −8.96821 | − | 4.72722i | −0.333071 | − | 0.175565i | ||||
\(726\) | 3.07144 | + | 1.80497i | 0.113992 | + | 0.0669888i | ||||
\(727\) | 30.5187 | − | 23.0466i | 1.13188 | − | 0.854752i | 0.141063 | − | 0.990001i | \(-0.454948\pi\) |
0.990812 | + | 0.135248i | \(0.0431831\pi\) | |||||||
\(728\) | 0.00845421 | + | 0.365919i | 0.000313334 | + | 0.0135619i | ||||
\(729\) | 0.532823 | + | 11.5248i | 0.0197342 | + | 0.426844i | ||||
\(730\) | −5.16920 | − | 4.71235i | −0.191321 | − | 0.174412i | ||||
\(731\) | −41.0976 | + | 1.25358i | −1.52005 | + | 0.0463652i | ||||
\(732\) | −3.86437 | + | 3.52284i | −0.142831 | + | 0.130208i | ||||
\(733\) | 5.49122 | + | 5.49122i | 0.202823 | + | 0.202823i | 0.801208 | − | 0.598385i | \(-0.204191\pi\) |
−0.598385 | + | 0.801208i | \(0.704191\pi\) | |||||||
\(734\) | −0.234899 | + | 0.399718i | −0.00867030 | + | 0.0147539i | ||||
\(735\) | −21.9635 | + | 35.4723i | −0.810137 | + | 1.30842i | ||||
\(736\) | 3.39960 | − | 1.40816i | 0.125311 | − | 0.0519055i | ||||
\(737\) | −44.3439 | + | 46.4414i | −1.63343 | + | 1.71069i | ||||
\(738\) | 0.959402 | + | 2.04373i | 0.0353161 | + | 0.0752308i | ||||
\(739\) | 1.13148 | − | 4.81075i | 0.0416221 | − | 0.176966i | −0.948597 | − | 0.316486i | \(-0.897497\pi\) |
0.990219 | + | 0.139520i | \(0.0445558\pi\) | |||||||
\(740\) | 11.3271 | − | 16.5356i | 0.416393 | − | 0.607860i | ||||
\(741\) | −0.324450 | − | 0.0684419i | −0.0119190 | − | 0.00251428i | ||||
\(742\) | 1.91212 | − | 9.06444i | 0.0701962 | − | 0.332766i | ||||
\(743\) | 0.162989 | + | 1.40488i | 0.00597948 | + | 0.0515401i | 0.995993 | − | 0.0894343i | \(-0.0285059\pi\) |
−0.990013 | + | 0.140974i | \(0.954976\pi\) | |||||||
\(744\) | −2.92917 | + | 0.833421i | −0.107389 | + | 0.0305547i | ||||
\(745\) | −7.00721 | − | 10.7539i | −0.256724 | − | 0.393991i | ||||
\(746\) | −0.866299 | + | 1.04324i | −0.0317175 | + | 0.0381959i | ||||
\(747\) | −1.65374 | + | 2.18990i | −0.0605071 | + | 0.0801244i | ||||
\(748\) | 26.6743 | + | 38.3288i | 0.975308 | + | 1.40144i | ||||
\(749\) | −0.0169023 | − | 0.0223823i | −0.000617598 | − | 0.000817831i | ||||
\(750\) | 0.803940 | + | 0.0371684i | 0.0293557 | + | 0.00135720i | ||||
\(751\) | −13.3451 | + | 7.03431i | −0.486969 | + | 0.256686i | −0.691770 | − | 0.722118i | \(-0.743169\pi\) |
0.204801 | + | 0.978804i | \(0.434345\pi\) | |||||||
\(752\) | 1.47600 | − | 7.89590i | 0.0538242 | − | 0.287934i | ||||
\(753\) | 4.03629 | − | 15.5413i | 0.147091 | − | 0.566358i | ||||
\(754\) | 0.0308865 | + | 0.0525583i | 0.00112482 | + | 0.00191406i | ||||
\(755\) | 64.5062 | + | 1.49036i | 2.34762 | + | 0.0542396i | ||||
\(756\) | 2.09627 | − | 45.3416i | 0.0762406 | − | 1.64906i | ||||
\(757\) | 30.8464 | − | 30.8464i | 1.12113 | − | 1.12113i | 0.129561 | − | 0.991571i | \(-0.458643\pi\) |
0.991571 | − | 0.129561i | \(-0.0413568\pi\) | |||||||
\(758\) | 0.824710 | + | 3.17546i | 0.0299548 | + | 0.115338i | ||||
\(759\) | 10.4556 | − | 0.725737i | 0.379516 | − | 0.0263426i | ||||
\(760\) | −3.96842 | + | 3.78919i | −0.143950 | + | 0.137448i | ||||
\(761\) | −2.74973 | − | 0.254800i | −0.0996777 | − | 0.00923650i | 0.0423138 | − | 0.999104i | \(-0.486527\pi\) |
−0.141992 | + | 0.989868i | \(0.545351\pi\) | |||||||
\(762\) | 1.46860 | + | 0.689413i | 0.0532017 | + | 0.0249748i | ||||
\(763\) | 43.4386 | − | 6.05942i | 1.57258 | − | 0.219366i | ||||
\(764\) | −28.6050 | − | 17.7115i | −1.03489 | − | 0.640779i | ||||
\(765\) | −7.90795 | − | 23.0277i | −0.285913 | − | 0.832568i | ||||
\(766\) | 1.08993 | − | 0.674857i | 0.0393808 | − | 0.0243836i | ||||
\(767\) | −0.364471 | + | 0.302653i | −0.0131603 | + | 0.0109282i | ||||
\(768\) | −13.4229 | − | 0.931698i | −0.484358 | − | 0.0336198i | ||||
\(769\) | 4.39960 | + | 23.5358i | 0.158654 | + | 0.848722i | 0.965980 | + | 0.258617i | \(0.0832666\pi\) |
−0.807326 | + | 0.590105i | \(0.799086\pi\) | |||||||
\(770\) | 7.99580 | + | 10.0946i | 0.288149 | + | 0.363783i | ||||
\(771\) | −16.4308 | + | 4.26729i | −0.591740 | + | 0.153683i | ||||
\(772\) | 5.16294 | − | 9.79482i | 0.185818 | − | 0.352523i | ||||
\(773\) | 5.51402 | + | 39.5287i | 0.198325 | + | 1.42175i | 0.788779 | + | 0.614677i | \(0.210714\pi\) |
−0.590454 | + | 0.807071i | \(0.701051\pi\) | |||||||
\(774\) | 2.81340 | − | 1.92722i | 0.101125 | − | 0.0692726i | ||||
\(775\) | 11.6811 | − | 10.1647i | 0.419596 | − | 0.365128i | ||||
\(776\) | 0.0849821 | + | 0.235364i | 0.00305068 | + | 0.00844908i | ||||
\(777\) | −15.8817 | − | 2.59068i | −0.569753 | − | 0.0929403i | ||||
\(778\) | −3.10672 | − | 1.54696i | −0.111381 | − | 0.0554613i | ||||
\(779\) | 18.9062 | − | 2.19342i | 0.677384 | − | 0.0785874i | ||||
\(780\) | −0.538337 | − | 0.368769i | −0.0192756 | − | 0.0132041i | ||||
\(781\) | 29.3327 | − | 58.9081i | 1.04961 | − | 2.10790i | ||||
\(782\) | −1.20449 | − | 0.456409i | −0.0430724 | − | 0.0163212i | ||||
\(783\) | −6.78692 | − | 13.6300i | −0.242545 | − | 0.487096i | ||||
\(784\) | −7.89524 | + | 56.5991i | −0.281973 | + | 2.02140i | ||||
\(785\) | 29.9791 | + | 21.5702i | 1.07000 | + | 0.769873i | ||||
\(786\) | 0.311767 | + | 0.503521i | 0.0111203 | + | 0.0179600i | ||||
\(787\) | −29.5404 | + | 0.682503i | −1.05300 | + | 0.0243286i | −0.546136 | − | 0.837696i | \(-0.683902\pi\) |
−0.506866 | + | 0.862025i | \(0.669196\pi\) | |||||||
\(788\) | −0.0186401 | + | 0.806789i | −0.000664026 | + | 0.0287407i | ||||
\(789\) | 6.26461 | + | 8.70680i | 0.223026 | + | 0.309970i | ||||
\(790\) | −0.415479 | − | 1.23962i | −0.0147821 | − | 0.0441037i | ||||
\(791\) | 12.1116 | − | 5.34779i | 0.430639 | − | 0.190146i | ||||
\(792\) | −7.20675 | − | 2.98513i | −0.256081 | − | 0.106072i | ||||
\(793\) | −0.261380 | + | 0.188065i | −0.00928189 | + | 0.00667839i | ||||
\(794\) | −0.123921 | − | 0.235095i | −0.00439778 | − | 0.00834320i | ||||
\(795\) | 22.4096 | + | 24.5822i | 0.794786 | + | 0.871839i | ||||
\(796\) | 31.1898 | − | 24.7051i | 1.10549 | − | 0.875650i | ||||
\(797\) | 4.76799 | + | 20.2723i | 0.168891 | + | 0.718080i | 0.989250 | + | 0.146232i | \(0.0467146\pi\) |
−0.820359 | + | 0.571848i | \(0.806227\pi\) | |||||||
\(798\) | 2.03950 | + | 0.790106i | 0.0721975 | + | 0.0279694i | ||||
\(799\) | −6.97397 | + | 5.09649i | −0.246721 | + | 0.180301i | ||||
\(800\) | −5.99009 | + | 2.32057i | −0.211782 | + | 0.0820446i | ||||
\(801\) | −18.0691 | − | 26.3776i | −0.638439 | − | 0.932007i | ||||
\(802\) | 0.748679 | + | 1.80747i | 0.0264368 | + | 0.0638241i | ||||
\(803\) | −66.8988 | − | 50.5196i | −2.36081 | − | 1.78280i | ||||
\(804\) | −12.5346 | + | 17.4211i | −0.442062 | + | 0.614395i | ||||
\(805\) | 24.1180 | + | 7.46848i | 0.850047 | + | 0.263229i | ||||
\(806\) | −0.0918983 | + | 0.0149908i | −0.00323698 | + | 0.000528028i | ||||
\(807\) | 3.06776 | + | 5.50769i | 0.107990 | + | 0.193880i | ||||
\(808\) | 2.53844 | − | 0.597037i | 0.0893022 | − | 0.0210037i | ||||
\(809\) | 1.66758 | + | 24.0248i | 0.0586291 | + | 0.844666i | 0.933107 | + | 0.359600i | \(0.117087\pi\) |
−0.874477 | + | 0.485066i | \(0.838796\pi\) | |||||||
\(810\) | 0.515815 | + | 0.408571i | 0.0181239 | + | 0.0143557i | ||||
\(811\) | −15.8758 | + | 33.8189i | −0.557476 | + | 1.18754i | 0.404533 | + | 0.914523i | \(0.367434\pi\) |
−0.962008 | + | 0.273020i | \(0.911978\pi\) | |||||||
\(812\) | 10.3248 | + | 26.6515i | 0.362331 | + | 0.935283i | ||||
\(813\) | 4.36609 | − | 12.0922i | 0.153126 | − | 0.424093i | ||||
\(814\) | −1.64450 | + | 2.95244i | −0.0576397 | + | 0.103483i | ||||
\(815\) | −4.78601 | + | 16.8211i | −0.167647 | + | 0.589216i | ||||
\(816\) | 10.4486 | + | 11.2928i | 0.365775 | + | 0.395326i | ||||
\(817\) | −7.86741 | − | 27.6511i | −0.275246 | − | 0.967388i | ||||
\(818\) | −4.81391 | − | 1.13222i | −0.168314 | − | 0.0395872i | ||||
\(819\) | 0.182828 | − | 1.12079i | 0.00638852 | − | 0.0391636i | ||||
\(820\) | 36.0249 | + | 10.2500i | 1.25805 | + | 0.357945i | ||||
\(821\) | 7.58872 | + | 24.5063i | 0.264848 | + | 0.855275i | 0.986605 | + | 0.163128i | \(0.0521585\pi\) |
−0.721757 | + | 0.692147i | \(0.756665\pi\) | |||||||
\(822\) | 0.687503 | − | 1.05510i | 0.0239794 | − | 0.0368009i | ||||
\(823\) | 12.0775 | − | 39.0019i | 0.420995 | − | 1.35952i | −0.460639 | − | 0.887588i | \(-0.652380\pi\) |
0.881634 | − | 0.471934i | \(-0.156444\pi\) | |||||||
\(824\) | −1.89808 | − | 2.28578i | −0.0661229 | − | 0.0796288i | ||||
\(825\) | −18.2774 | + | 0.845017i | −0.636339 | + | 0.0294197i | ||||
\(826\) | 2.69411 | − | 1.58323i | 0.0937402 | − | 0.0550877i | ||||
\(827\) | −1.14637 | + | 2.76757i | −0.0398630 | + | 0.0962378i | −0.942557 | − | 0.334045i | \(-0.891586\pi\) |
0.902694 | + | 0.430283i | \(0.141586\pi\) | |||||||
\(828\) | −7.42993 | + | 1.56732i | −0.258208 | + | 0.0544683i | ||||
\(829\) | 43.4884i | 1.51042i | 0.655486 | + | 0.755208i | \(0.272464\pi\) | ||||
−0.655486 | + | 0.755208i | \(0.727536\pi\) | |||||||
\(830\) | −0.132199 | − | 0.626692i | −0.00458870 | − | 0.0217528i | ||||
\(831\) | 28.9343 | − | 9.69779i | 1.00372 | − | 0.336413i | ||||
\(832\) | −0.852962 | − | 0.159446i | −0.0295711 | − | 0.00552780i | ||||
\(833\) | 47.8877 | − | 38.5109i | 1.65921 | − | 1.33432i | ||||
\(834\) | −0.755901 | + | 0.141302i | −0.0261747 | + | 0.00489290i | ||||
\(835\) | −3.98301 | + | 2.21852i | −0.137838 | + | 0.0767752i | ||||
\(836\) | −21.4331 | + | 24.6305i | −0.741281 | + | 0.851863i | ||||
\(837\) | 23.1573 | − | 2.14584i | 0.800433 | − | 0.0741711i | ||||
\(838\) | 0.737072 | + | 0.266132i | 0.0254617 | + | 0.00919337i | ||||
\(839\) | 17.0861 | + | 19.6349i | 0.589878 | + | 0.677873i | 0.968882 | − | 0.247521i | \(-0.0796160\pi\) |
−0.379005 | + | 0.925395i | \(0.623734\pi\) | |||||||
\(840\) | 6.26975 | + | 5.98658i | 0.216327 | + | 0.206557i | ||||
\(841\) | −14.9345 | − | 12.4014i | −0.514982 | − | 0.427636i | ||||
\(842\) | 1.17198 | + | 0.163485i | 0.0403892 | + | 0.00563406i | ||||
\(843\) | −7.87659 | − | 5.13238i | −0.271284 | − | 0.176769i | ||||
\(844\) | −36.2908 | − | 4.21032i | −1.24918 | − | 0.144925i | ||||
\(845\) | 28.1787 | + | 24.5208i | 0.969378 | + | 0.843542i | ||||
\(846\) | 0.258797 | − | 0.668031i | 0.00889761 | − | 0.0229674i | ||||
\(847\) | 71.0296 | + | 74.3894i | 2.44061 | + | 2.55605i | ||||
\(848\) | 41.6800 | + | 18.4035i | 1.43130 | + | 0.631980i | ||||
\(849\) | −0.334077 | + | 3.60527i | −0.0114655 | + | 0.123732i | ||||
\(850\) | 2.08378 | + | 0.845137i | 0.0714732 | + | 0.0289880i | ||||
\(851\) | 0.611363 | + | 6.59766i | 0.0209572 | + | 0.226165i | ||||
\(852\) | 6.98982 | − | 20.8548i | 0.239467 | − | 0.714473i | ||||
\(853\) | 6.78917 | − | 2.10236i | 0.232457 | − | 0.0719835i | −0.177380 | − | 0.984142i | \(-0.556762\pi\) |
0.409837 | + | 0.912159i | \(0.365586\pi\) | |||||||
\(854\) | 1.90131 | − | 0.946739i | 0.0650614 | − | 0.0323967i | ||||
\(855\) | 14.2630 | − | 9.29378i | 0.487785 | − | 0.317841i | ||||
\(856\) | −0.00358947 | + | 0.00168503i | −0.000122685 | + | 5.75930e-5i | ||||
\(857\) | 50.3085 | − | 18.1647i | 1.71850 | − | 0.620494i | 0.721122 | − | 0.692808i | \(-0.243627\pi\) |
0.997382 | + | 0.0723140i | \(0.0230384\pi\) | |||||||
\(858\) | 0.0961206 | + | 0.0535388i | 0.00328150 | + | 0.00182778i | ||||
\(859\) | −35.6934 | − | 11.9632i | −1.21784 | − | 0.408180i | −0.365327 | − | 0.930879i | \(-0.619043\pi\) |
−0.852517 | + | 0.522699i | \(0.824925\pi\) | |||||||
\(860\) | 6.51974 | − | 56.1969i | 0.222321 | − | 1.91630i | ||||
\(861\) | −4.84122 | − | 29.6782i | −0.164988 | − | 1.01143i | ||||
\(862\) | 0.0933758 | − | 1.34526i | 0.00318039 | − | 0.0458197i | ||||
\(863\) | −25.9136 | + | 28.4259i | −0.882109 | + | 0.967628i | −0.999676 | − | 0.0254370i | \(-0.991902\pi\) |
0.117567 | + | 0.993065i | \(0.462491\pi\) | |||||||
\(864\) | −9.33838 | − | 2.42530i | −0.317698 | − | 0.0825104i | ||||
\(865\) | −23.5648 | − | 53.3693i | −0.801229 | − | 1.81461i | ||||
\(866\) | −5.11110 | −0.173682 | ||||||||
\(867\) | 0.137543 | − | 16.5434i | 0.00467120 | − | 0.561843i | ||||
\(868\) | −43.6553 | −1.48176 | ||||||||
\(869\) | −6.32901 | − | 14.3338i | −0.214697 | − | 0.486242i | ||||
\(870\) | 1.39748 | + | 0.362944i | 0.0473790 | + | 0.0123049i | ||||
\(871\) | −0.890362 | + | 0.976681i | −0.0301688 | + | 0.0330936i | ||||
\(872\) | 0.429367 | − | 6.18586i | 0.0145402 | − | 0.209480i | ||||
\(873\) | −0.124995 | − | 0.766258i | −0.00423044 | − | 0.0259339i | ||||
\(874\) | 0.103788 | − | 0.894604i | 0.00351070 | − | 0.0302604i | ||||
\(875\) | 22.0309 | + | 7.38401i | 0.744780 | + | 0.249625i | ||||
\(876\) | −24.4783 | − | 13.6343i | −0.827044 | − | 0.460661i | ||||
\(877\) | −24.9525 | + | 9.00951i | −0.842587 | + | 0.304230i | −0.724928 | − | 0.688825i | \(-0.758127\pi\) |
−0.117658 | + | 0.993054i | \(0.537539\pi\) | |||||||
\(878\) | 4.05059 | − | 1.90150i | 0.136701 | − | 0.0641724i | ||||
\(879\) | 16.2302 | − | 10.5756i | 0.547431 | − | 0.356706i | ||||
\(880\) | −56.6954 | + | 28.2310i | −1.91120 | + | 0.951666i | ||||
\(881\) | −21.1996 | + | 6.56476i | −0.714233 | + | 0.221172i | −0.631474 | − | 0.775397i | \(-0.717550\pi\) |
−0.0827592 | + | 0.996570i | \(0.526373\pi\) | |||||||
\(882\) | −1.61971 | + | 4.83255i | −0.0545384 | + | 0.162721i | ||||
\(883\) | −2.92132 | − | 31.5260i | −0.0983101 | − | 1.06094i | −0.891824 | − | 0.452383i | \(-0.850574\pi\) |
0.793514 | − | 0.608552i | \(-0.208249\pi\) | |||||||
\(884\) | 0.567084 | + | 0.775990i | 0.0190731 | + | 0.0260994i | ||||
\(885\) | −1.03529 | + | 11.1725i | −0.0348008 | + | 0.375561i | ||||
\(886\) | 1.08096 | + | 0.477291i | 0.0363156 | + | 0.0160349i | ||||
\(887\) | 21.5576 | + | 22.5773i | 0.723832 | + | 0.758070i | 0.977890 | − | 0.209119i | \(-0.0670595\pi\) |
−0.254058 | + | 0.967189i | \(0.581765\pi\) | |||||||
\(888\) | −0.821828 | + | 2.12138i | −0.0275787 | + | 0.0711889i | ||||
\(889\) | 35.3344 | + | 30.7476i | 1.18508 | + | 1.03124i | ||||
\(890\) | 7.41267 | + | 0.859989i | 0.248473 | + | 0.0288269i | ||||
\(891\) | 6.60739 | + | 4.30537i | 0.221356 | + | 0.144235i | ||||
\(892\) | −51.0529 | − | 7.12158i | −1.70938 | − | 0.238448i | ||||
\(893\) | −4.64636 | − | 3.85829i | −0.155484 | − | 0.129113i | ||||
\(894\) | 0.523166 | + | 0.499537i | 0.0174973 | + | 0.0167070i | ||||
\(895\) | −28.5481 | − | 32.8068i | −0.954258 | − | 1.09661i | ||||
\(896\) | 22.6576 | + | 8.18089i | 0.756937 | + | 0.273304i | ||||
\(897\) | 0.214795 | − | 0.0199037i | 0.00717181 | − | 0.000664566i | ||||
\(898\) | −1.61576 | + | 1.85679i | −0.0539185 | + | 0.0619618i | ||||
\(899\) | −12.7936 | + | 7.12599i | −0.426690 | + | 0.237665i | ||||
\(900\) | 13.0306 | − | 2.43584i | 0.434354 | − | 0.0811947i | ||||
\(901\) | −19.0834 | − | 45.1249i | −0.635760 | − | 1.50333i | ||||
\(902\) | −6.20782 | − | 1.16044i | −0.206698 | − | 0.0386385i | ||||
\(903\) | −43.0656 | + | 14.4341i | −1.43313 | + | 0.480338i | ||||
\(904\) | −0.386351 | − | 1.83150i | −0.0128498 | − | 0.0609148i | ||||
\(905\) | − | 23.9927i | − | 0.797543i | ||||||
\(906\) | −3.55800 | + | 0.750551i | −0.118207 | + | 0.0249354i | ||||
\(907\) | 12.9233 | − | 31.1997i | 0.429112 | − | 1.03597i | −0.550457 | − | 0.834863i | \(-0.685547\pi\) |
0.979570 | − | 0.201105i | \(-0.0644533\pi\) | |||||||
\(908\) | −42.2232 | + | 24.8130i | −1.40123 | + | 0.823448i | ||||
\(909\) | −8.08207 | + | 0.373657i | −0.268065 | + | 0.0123934i | ||||
\(910\) | 0.169324 | + | 0.203910i | 0.00561305 | + | 0.00675954i | ||||
\(911\) | 15.5654 | − | 50.2653i | 0.515704 | − | 1.66537i | −0.210270 | − | 0.977643i | \(-0.567434\pi\) |
0.725974 | − | 0.687722i | \(-0.241389\pi\) | |||||||
\(912\) | −5.87265 | + | 9.01267i | −0.194463 | + | 0.298439i | ||||
\(913\) | −2.27064 | − | 7.33257i | −0.0751471 | − | 0.242673i | ||||
\(914\) | −5.58321 | − | 1.58856i | −0.184676 | − | 0.0525449i | ||||
\(915\) | −1.22784 | + | 7.52702i | −0.0405910 | + | 0.248835i | ||||
\(916\) | 22.9937 | + | 5.40808i | 0.759735 | + | 0.178688i | ||||
\(917\) | 4.67914 | + | 16.4455i | 0.154519 | + | 0.543077i | ||||
\(918\) | 1.79910 | + | 2.85821i | 0.0593791 | + | 0.0943351i | ||||
\(919\) | 9.44846 | − | 33.2079i | 0.311676 | − | 1.09543i | −0.634806 | − | 0.772671i | \(-0.718920\pi\) |
0.946482 | − | 0.322756i | \(-0.104609\pi\) | |||||||
\(920\) | 1.73694 | − | 3.11840i | 0.0572651 | − | 0.102811i | ||||
\(921\) | −6.66574 | + | 18.4613i | −0.219644 | + | 0.608319i | ||||
\(922\) | −1.20055 | − | 3.09897i | −0.0395379 | − | 0.102059i | ||||
\(923\) | 0.575559 | − | 1.22606i | 0.0189448 | − | 0.0403564i | ||||
\(924\) | 40.4363 | + | 32.0292i | 1.33026 | + | 1.05368i | ||||
\(925\) | −0.800968 | − | 11.5395i | −0.0263357 | − | 0.379417i | ||||
\(926\) | 4.74726 | − | 1.11655i | 0.156005 | − | 0.0366920i | ||||
\(927\) | 4.48561 | + | 8.05322i | 0.147327 | + | 0.264502i | ||||
\(928\) | 5.99608 | − | 0.978103i | 0.196831 | − | 0.0321078i | ||||
\(929\) | −28.8381 | − | 8.93014i | −0.946149 | − | 0.292988i | −0.216091 | − | 0.976373i | \(-0.569331\pi\) |
−0.730058 | + | 0.683385i | \(0.760507\pi\) | |||||||
\(930\) | −1.28800 | + | 1.79011i | −0.0422351 | + | 0.0587000i | ||||
\(931\) | 34.2881 | + | 25.8932i | 1.12375 | + | 0.848616i | ||||
\(932\) | −14.2380 | − | 34.3737i | −0.466383 | − | 1.12595i | ||||
\(933\) | −17.9442 | − | 26.1953i | −0.587466 | − | 0.857595i | ||||
\(934\) | 5.28405 | − | 2.04705i | 0.172899 | − | 0.0669816i | ||||
\(935\) | 65.2053 | + | 19.6647i | 2.13244 | + | 0.643103i | ||||
\(936\) | −0.149709 | − | 0.0579974i | −0.00489338 | − | 0.00189570i | ||||
\(937\) | −5.87990 | − | 24.9998i | −0.192088 | − | 0.816709i | −0.979689 | − | 0.200523i | \(-0.935736\pi\) |
0.787601 | − | 0.616186i | \(-0.211323\pi\) | |||||||
\(938\) | 6.83346 | − | 5.41271i | 0.223120 | − | 0.176731i | ||||
\(939\) | −13.2277 | − | 14.5101i | −0.431668 | − | 0.473518i | ||||
\(940\) | −5.54190 | − | 10.5138i | −0.180757 | − | 0.342921i | ||||
\(941\) | −17.1445 | + | 12.3356i | −0.558896 | + | 0.402130i | −0.827788 | − | 0.561041i | \(-0.810401\pi\) |
0.268892 | + | 0.963170i | \(0.413342\pi\) | |||||||
\(942\) | −1.92295 | − | 0.796512i | −0.0626531 | − | 0.0259518i | ||||
\(943\) | −11.3269 | + | 5.00130i | −0.368853 | + | 0.162865i | ||||
\(944\) | 4.88411 | + | 14.5722i | 0.158964 | + | 0.474285i | ||||
\(945\) | −38.6635 | − | 53.7361i | −1.25772 | − | 1.74803i | ||||
\(946\) | −0.220332 | + | 9.53653i | −0.00716363 | + | 0.310059i | ||||
\(947\) | 15.5272 | − | 0.358742i | 0.504567 | − | 0.0116575i | 0.229933 | − | 0.973206i | \(-0.426149\pi\) |
0.274634 | + | 0.961549i | \(0.411443\pi\) | |||||||
\(948\) | −2.75698 | − | 4.45267i | −0.0895424 | − | 0.144616i | ||||
\(949\) | −1.40056 | − | 1.00771i | −0.0454640 | − | 0.0327117i | ||||
\(950\) | −0.217215 | + | 1.55716i | −0.00704738 | + | 0.0505210i | ||||
\(951\) | −6.93671 | − | 13.9308i | −0.224938 | − | 0.451737i | ||||
\(952\) | −5.77570 | − | 11.3874i | −0.187192 | − | 0.369068i | ||||
\(953\) | 21.0746 | − | 42.3235i | 0.682674 | − | 1.37099i | −0.234346 | − | 0.972153i | \(-0.575295\pi\) |
0.917020 | − | 0.398841i | \(-0.130587\pi\) | |||||||
\(954\) | 3.35242 | + | 2.29646i | 0.108538 | + | 0.0743506i | ||||
\(955\) | −48.7423 | + | 5.65489i | −1.57726 | + | 0.182988i | ||||
\(956\) | 2.22685 | + | 1.10884i | 0.0720214 | + | 0.0358624i | ||||
\(957\) | 17.0785 | + | 2.78591i | 0.552069 | + | 0.0900555i | ||||
\(958\) | 1.23865 | + | 3.43053i | 0.0400189 | + | 0.110835i | ||||
\(959\) | 27.4275 | − | 23.8671i | 0.885681 | − | 0.770709i | ||||
\(960\) | −16.9552 | + | 11.6146i | −0.547225 | + | 0.374858i | ||||
\(961\) | 1.19261 | + | 8.54955i | 0.0384713 | + | 0.275792i | ||||
\(962\) | −0.0324344 | + | 0.0615326i | −0.00104573 | + | 0.00198389i | ||||
\(963\) | 0.0119077 | − | 0.00309259i | 0.000383721 | − | 9.96574e-5i | ||||
\(964\) | 16.2836 | + | 20.5577i | 0.524458 | + | 0.662120i | ||||
\(965\) | −2.96728 | − | 15.8735i | −0.0955201 | − | 0.510987i | ||||
\(966\) | −1.41946 | − | 0.0985261i | −0.0456704 | − | 0.00317003i | ||||
\(967\) | −5.41425 | + | 4.49594i | −0.174111 | + | 0.144580i | −0.721799 | − | 0.692103i | \(-0.756684\pi\) |
0.547688 | + | 0.836682i | \(0.315508\pi\) | |||||||
\(968\) | 12.3633 | − | 7.65505i | 0.397372 | − | 0.246043i | ||||
\(969\) | 11.2403 | − | 2.73155i | 0.361090 | − | 0.0877499i | ||||
\(970\) | 0.154065 | + | 0.0953927i | 0.00494671 | + | 0.00306288i | ||||
\(971\) | −17.4831 | + | 2.43879i | −0.561059 | + | 0.0782645i | −0.413028 | − | 0.910718i | \(-0.635529\pi\) |
−0.148031 | + | 0.988983i | \(0.547294\pi\) | |||||||
\(972\) | 28.7234 | + | 13.4838i | 0.921304 | + | 0.432493i | ||||
\(973\) | −22.1070 | − | 2.04851i | −0.708718 | − | 0.0656724i | ||||
\(974\) | −4.01577 | + | 3.83439i | −0.128673 | + | 0.122862i | ||||
\(975\) | −0.375684 | + | 0.0260766i | −0.0120315 | + | 0.000835118i | ||||
\(976\) | 2.62591 | + | 10.1108i | 0.0840534 | + | 0.323639i | ||||
\(977\) | 3.84813 | − | 3.84813i | 0.123113 | − | 0.123113i | −0.642866 | − | 0.765979i | \(-0.722255\pi\) |
0.765979 | + | 0.642866i | \(0.222255\pi\) | |||||||
\(978\) | 0.0455183 | − | 0.984546i | 0.00145551 | − | 0.0314823i | ||||
\(979\) | 89.4117 | + | 2.06577i | 2.85761 | + | 0.0660224i | ||||
\(980\) | 42.8393 | + | 72.8978i | 1.36845 | + | 2.32863i | ||||
\(981\) | −4.83605 | + | 18.6207i | −0.154403 | + | 0.594514i | ||||
\(982\) | −1.07736 | + | 5.76336i | −0.0343799 | + | 0.183916i | ||||
\(983\) | −5.79303 | + | 3.05356i | −0.184769 | + | 0.0973934i | −0.556131 | − | 0.831095i | \(-0.687715\pi\) |
0.371362 | + | 0.928488i | \(0.378891\pi\) | |||||||
\(984\) | −4.24678 | − | 0.196340i | −0.135382 | − | 0.00625910i | ||||
\(985\) | 0.709294 | + | 0.939258i | 0.0226000 | + | 0.0299272i | ||||
\(986\) | −1.76331 | − | 1.18884i | −0.0561552 | − | 0.0378603i | ||||
\(987\) | −5.75022 | + | 7.61452i | −0.183032 | + | 0.242373i | ||||
\(988\) | −0.429309 | + | 0.516998i | −0.0136581 | + | 0.0164479i | ||||
\(989\) | 10.2101 | + | 15.6694i | 0.324664 | + | 0.498257i | ||||
\(990\) | −5.43304 | + | 1.54583i | −0.172673 | + | 0.0491298i | ||||
\(991\) | 6.52152 | + | 56.2122i | 0.207163 | + | 1.78564i | 0.539004 | + | 0.842303i | \(0.318801\pi\) |
−0.331841 | + | 0.943335i | \(0.607670\pi\) | |||||||
\(992\) | −1.91532 | + | 9.07962i | −0.0608116 | + | 0.288278i | ||||
\(993\) | 14.6369 | + | 3.08762i | 0.464488 | + | 0.0979827i | ||||
\(994\) | −5.04892 | + | 7.37051i | −0.160142 | + | 0.233778i | ||||
\(995\) | 13.2862 | − | 56.4893i | 0.421199 | − | 1.79083i | ||||
\(996\) | −1.09024 | − | 2.32245i | −0.0345456 | − | 0.0735895i | ||||
\(997\) | −9.70727 | + | 10.1664i | −0.307432 | + | 0.321974i | −0.858823 | − | 0.512273i | \(-0.828803\pi\) |
0.551390 | + | 0.834248i | \(0.314098\pi\) | |||||||
\(998\) | 1.10935 | − | 0.459508i | 0.0351159 | − | 0.0145455i | ||||
\(999\) | 9.14579 | − | 14.7710i | 0.289360 | − | 0.467333i |
(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 | 289.2.i.a.100.14 | ✓ | 1600 | |
289.263 | even | 136 | inner | 289.2.i.a.263.14 | yes | 1600 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
289.2.i.a.100.14 | ✓ | 1600 | 1.1 | even | 1 | trivial | |
289.2.i.a.263.14 | yes | 1600 | 289.263 | even | 136 | inner |