Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(71,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.o (of order \(9\), degree \(6\), 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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - 3 x^{17} + 18 x^{16} - 25 x^{15} + 132 x^{14} - 135 x^{13} + 666 x^{12} - 297 x^{11} + 1845 x^{10} + \cdots + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 81.2 | ||
Root | \(0.247857 - 0.429301i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 370.81 |
Dual form | 370.2.o.b.201.2 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | − | 0.342020i | 0.664463 | − | 0.241845i | ||||
\(3\) | 0.465818 | + | 0.169544i | 0.268940 | + | 0.0978863i | 0.472970 | − | 0.881078i | \(-0.343182\pi\) |
−0.204030 | + | 0.978965i | \(0.565404\pi\) | |||||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | −0.173648 | − | 0.984808i | −0.0776578 | − | 0.440419i | ||||
\(6\) | 0.495714 | 0.202374 | ||||||||
\(7\) | −0.827523 | − | 4.69312i | −0.312774 | − | 1.77383i | −0.584437 | − | 0.811439i | \(-0.698685\pi\) |
0.271662 | − | 0.962393i | \(-0.412427\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −2.10989 | − | 1.77041i | −0.703297 | − | 0.590136i | ||||
\(10\) | −0.500000 | − | 0.866025i | −0.158114 | − | 0.273861i | ||||
\(11\) | 0.0178576 | − | 0.0309303i | 0.00538427 | − | 0.00932583i | −0.863321 | − | 0.504656i | \(-0.831619\pi\) |
0.868705 | + | 0.495330i | \(0.164953\pi\) | |||||||
\(12\) | 0.465818 | − | 0.169544i | 0.134470 | − | 0.0489431i | ||||
\(13\) | −2.22538 | + | 1.86732i | −0.617210 | + | 0.517900i | −0.896925 | − | 0.442183i | \(-0.854204\pi\) |
0.279715 | + | 0.960083i | \(0.409760\pi\) | |||||||
\(14\) | −2.38276 | − | 4.12706i | −0.636819 | − | 1.10300i | ||||
\(15\) | 0.0860798 | − | 0.488183i | 0.0222257 | − | 0.126048i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 4.81190 | + | 4.03767i | 1.16706 | + | 0.979278i | 0.999978 | − | 0.00666534i | \(-0.00212166\pi\) |
0.167080 | + | 0.985943i | \(0.446566\pi\) | |||||||
\(18\) | −2.58817 | − | 0.942015i | −0.610036 | − | 0.222035i | ||||
\(19\) | 3.55030 | + | 1.29220i | 0.814495 | + | 0.296452i | 0.715479 | − | 0.698634i | \(-0.246208\pi\) |
0.0990154 | + | 0.995086i | \(0.468431\pi\) | |||||||
\(20\) | −0.766044 | − | 0.642788i | −0.171293 | − | 0.143732i | ||||
\(21\) | 0.410215 | − | 2.32644i | 0.0895162 | − | 0.507671i | ||||
\(22\) | 0.00620188 | − | 0.0351726i | 0.00132225 | − | 0.00749883i | ||||
\(23\) | 3.32020 | + | 5.75075i | 0.692310 | + | 1.19912i | 0.971079 | + | 0.238757i | \(0.0767400\pi\) |
−0.278770 | + | 0.960358i | \(0.589927\pi\) | |||||||
\(24\) | 0.379739 | − | 0.318639i | 0.0775138 | − | 0.0650418i | ||||
\(25\) | −0.939693 | + | 0.342020i | −0.187939 | + | 0.0684040i | ||||
\(26\) | −1.45251 | + | 2.51583i | −0.284861 | + | 0.493395i | ||||
\(27\) | −1.42623 | − | 2.47031i | −0.274479 | − | 0.475411i | ||||
\(28\) | −3.65060 | − | 3.06322i | −0.689898 | − | 0.578893i | ||||
\(29\) | 2.13214 | − | 3.69298i | 0.395929 | − | 0.685769i | −0.597290 | − | 0.802025i | \(-0.703756\pi\) |
0.993219 | + | 0.116256i | \(0.0370893\pi\) | |||||||
\(30\) | −0.0860798 | − | 0.488183i | −0.0157159 | − | 0.0891295i | ||||
\(31\) | 7.81339 | 1.40333 | 0.701664 | − | 0.712508i | \(-0.252441\pi\) | ||||
0.701664 | + | 0.712508i | \(0.252441\pi\) | |||||||
\(32\) | −0.173648 | − | 0.984808i | −0.0306970 | − | 0.174091i | ||||
\(33\) | 0.0135624 | − | 0.0113802i | 0.00236092 | − | 0.00198105i | ||||
\(34\) | 5.90267 | + | 2.14840i | 1.01230 | + | 0.368447i | ||||
\(35\) | −4.47812 | + | 1.62990i | −0.756941 | + | 0.275504i | ||||
\(36\) | −2.75427 | −0.459045 | ||||||||
\(37\) | −2.58015 | + | 5.50843i | −0.424174 | + | 0.905581i | ||||
\(38\) | 3.77815 | 0.612897 | ||||||||
\(39\) | −1.35322 | + | 0.492530i | −0.216688 | + | 0.0788680i | ||||
\(40\) | −0.939693 | − | 0.342020i | −0.148578 | − | 0.0540781i | ||||
\(41\) | 0.219681 | − | 0.184334i | 0.0343084 | − | 0.0287882i | −0.625472 | − | 0.780246i | \(-0.715094\pi\) |
0.659781 | + | 0.751458i | \(0.270649\pi\) | |||||||
\(42\) | −0.410215 | − | 2.32644i | −0.0632975 | − | 0.358978i | ||||
\(43\) | −4.96135 | −0.756598 | −0.378299 | − | 0.925683i | \(-0.623491\pi\) | ||||
−0.378299 | + | 0.925683i | \(0.623491\pi\) | |||||||
\(44\) | −0.00620188 | − | 0.0351726i | −0.000934969 | − | 0.00530247i | ||||
\(45\) | −1.37713 | + | 2.38527i | −0.205291 | + | 0.355574i | ||||
\(46\) | 5.08684 | + | 4.26837i | 0.750014 | + | 0.629336i | ||||
\(47\) | −0.0422679 | − | 0.0732102i | −0.00616541 | − | 0.0106788i | 0.862926 | − | 0.505330i | \(-0.168629\pi\) |
−0.869092 | + | 0.494651i | \(0.835296\pi\) | |||||||
\(48\) | 0.247857 | − | 0.429301i | 0.0357750 | − | 0.0619642i | ||||
\(49\) | −14.7627 | + | 5.37319i | −2.10896 | + | 0.767598i | ||||
\(50\) | −0.766044 | + | 0.642788i | −0.108335 | + | 0.0909039i | ||||
\(51\) | 1.55691 | + | 2.69665i | 0.218011 | + | 0.377606i | ||||
\(52\) | −0.504453 | + | 2.86089i | −0.0699550 | + | 0.396735i | ||||
\(53\) | 2.17004 | − | 12.3069i | 0.298078 | − | 1.69048i | −0.356344 | − | 0.934355i | \(-0.615977\pi\) |
0.654422 | − | 0.756130i | \(-0.272912\pi\) | |||||||
\(54\) | −2.18512 | − | 1.83353i | −0.297357 | − | 0.249512i | ||||
\(55\) | −0.0335613 | − | 0.0122153i | −0.00452541 | − | 0.00164711i | ||||
\(56\) | −4.47812 | − | 1.62990i | −0.598414 | − | 0.217805i | ||||
\(57\) | 1.43471 | + | 1.20386i | 0.190032 | + | 0.159456i | ||||
\(58\) | 0.740486 | − | 4.19950i | 0.0972305 | − | 0.551422i | ||||
\(59\) | −1.71578 | + | 9.73067i | −0.223375 | + | 1.26682i | 0.642391 | + | 0.766377i | \(0.277942\pi\) |
−0.865767 | + | 0.500448i | \(0.833169\pi\) | |||||||
\(60\) | −0.247857 | − | 0.429301i | −0.0319982 | − | 0.0554225i | ||||
\(61\) | 7.41852 | − | 6.22488i | 0.949844 | − | 0.797014i | −0.0294269 | − | 0.999567i | \(-0.509368\pi\) |
0.979271 | + | 0.202553i | \(0.0649238\pi\) | |||||||
\(62\) | 7.34219 | − | 2.67234i | 0.932459 | − | 0.339387i | ||||
\(63\) | −6.56276 | + | 11.3670i | −0.826829 | + | 1.43211i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 2.22538 | + | 1.86732i | 0.276025 | + | 0.231612i | ||||
\(66\) | 0.00885226 | − | 0.0153326i | 0.00108964 | − | 0.00188731i | ||||
\(67\) | −0.0868810 | − | 0.492727i | −0.0106142 | − | 0.0601961i | 0.979041 | − | 0.203665i | \(-0.0652854\pi\) |
−0.989655 | + | 0.143469i | \(0.954174\pi\) | |||||||
\(68\) | 6.28149 | 0.761743 | ||||||||
\(69\) | 0.571604 | + | 3.24173i | 0.0688130 | + | 0.390258i | ||||
\(70\) | −3.65060 | + | 3.06322i | −0.436330 | + | 0.366124i | ||||
\(71\) | 8.73683 | + | 3.17995i | 1.03687 | + | 0.377390i | 0.803693 | − | 0.595044i | \(-0.202865\pi\) |
0.233178 | + | 0.972434i | \(0.425088\pi\) | |||||||
\(72\) | −2.58817 | + | 0.942015i | −0.305018 | + | 0.111018i | ||||
\(73\) | −8.43531 | −0.987279 | −0.493639 | − | 0.869667i | \(-0.664334\pi\) | ||||
−0.493639 | + | 0.869667i | \(0.664334\pi\) | |||||||
\(74\) | −0.540554 | + | 6.05870i | −0.0628381 | + | 0.704309i | ||||
\(75\) | −0.495714 | −0.0572401 | ||||||||
\(76\) | 3.55030 | − | 1.29220i | 0.407247 | − | 0.148226i | ||||
\(77\) | −0.159937 | − | 0.0582123i | −0.0182265 | − | 0.00663391i | ||||
\(78\) | −1.10315 | + | 0.925654i | −0.124907 | + | 0.104810i | ||||
\(79\) | 0.728448 | + | 4.13123i | 0.0819568 | + | 0.464800i | 0.997972 | + | 0.0636563i | \(0.0202761\pi\) |
−0.916015 | + | 0.401144i | \(0.868613\pi\) | |||||||
\(80\) | −1.00000 | −0.111803 | ||||||||
\(81\) | 1.18928 | + | 6.74475i | 0.132142 | + | 0.749416i | ||||
\(82\) | 0.143387 | − | 0.248353i | 0.0158344 | − | 0.0274260i | ||||
\(83\) | −5.25852 | − | 4.41243i | −0.577198 | − | 0.484327i | 0.306828 | − | 0.951765i | \(-0.400732\pi\) |
−0.884026 | + | 0.467438i | \(0.845177\pi\) | |||||||
\(84\) | −1.18117 | − | 2.04584i | −0.128876 | − | 0.223219i | ||||
\(85\) | 3.14075 | − | 5.43993i | 0.340662 | − | 0.590044i | ||||
\(86\) | −4.66214 | + | 1.69688i | −0.502732 | + | 0.182979i | ||||
\(87\) | 1.61931 | − | 1.35877i | 0.173609 | − | 0.145675i | ||||
\(88\) | −0.0178576 | − | 0.0309303i | −0.00190363 | − | 0.00329718i | ||||
\(89\) | 1.99369 | − | 11.3068i | 0.211331 | − | 1.19852i | −0.675830 | − | 0.737057i | \(-0.736215\pi\) |
0.887161 | − | 0.461460i | \(-0.152674\pi\) | |||||||
\(90\) | −0.478274 | + | 2.71242i | −0.0504145 | + | 0.285915i | ||||
\(91\) | 10.6051 | + | 8.89873i | 1.11172 | + | 0.932840i | ||||
\(92\) | 6.23993 | + | 2.27115i | 0.650558 | + | 0.236784i | ||||
\(93\) | 3.63962 | + | 1.32471i | 0.377411 | + | 0.137366i | ||||
\(94\) | −0.0647582 | − | 0.0543386i | −0.00667930 | − | 0.00560460i | ||||
\(95\) | 0.656069 | − | 3.72075i | 0.0673112 | − | 0.381741i | ||||
\(96\) | 0.0860798 | − | 0.488183i | 0.00878548 | − | 0.0498249i | ||||
\(97\) | 2.46953 | + | 4.27736i | 0.250743 | + | 0.434300i | 0.963731 | − | 0.266877i | \(-0.0859917\pi\) |
−0.712987 | + | 0.701177i | \(0.752658\pi\) | |||||||
\(98\) | −12.0347 | + | 10.0983i | −1.21569 | + | 1.02008i | ||||
\(99\) | −0.0924369 | + | 0.0336443i | −0.00929025 | + | 0.00338138i | ||||
\(100\) | −0.500000 | + | 0.866025i | −0.0500000 | + | 0.0866025i | ||||
\(101\) | −6.51178 | − | 11.2787i | −0.647946 | − | 1.12228i | −0.983613 | − | 0.180295i | \(-0.942295\pi\) |
0.335666 | − | 0.941981i | \(-0.391039\pi\) | |||||||
\(102\) | 2.38533 | + | 2.00153i | 0.236182 | + | 0.198181i | ||||
\(103\) | −2.61639 | + | 4.53172i | −0.257800 | + | 0.446523i | −0.965652 | − | 0.259838i | \(-0.916331\pi\) |
0.707852 | + | 0.706361i | \(0.249664\pi\) | |||||||
\(104\) | 0.504453 | + | 2.86089i | 0.0494657 | + | 0.280534i | ||||
\(105\) | −2.36233 | −0.230540 | ||||||||
\(106\) | −2.17004 | − | 12.3069i | −0.210773 | − | 1.19535i | ||||
\(107\) | 3.48167 | − | 2.92147i | 0.336586 | − | 0.282429i | −0.458791 | − | 0.888544i | \(-0.651717\pi\) |
0.795377 | + | 0.606115i | \(0.207273\pi\) | |||||||
\(108\) | −2.68044 | − | 0.975602i | −0.257926 | − | 0.0938773i | ||||
\(109\) | −11.6125 | + | 4.22659i | −1.11227 | + | 0.404834i | −0.831827 | − | 0.555035i | \(-0.812705\pi\) |
−0.280446 | + | 0.959870i | \(0.590482\pi\) | |||||||
\(110\) | −0.0357152 | −0.00340531 | ||||||||
\(111\) | −2.13580 | + | 2.12848i | −0.202721 | + | 0.202026i | ||||
\(112\) | −4.76552 | −0.450299 | ||||||||
\(113\) | −16.3378 | + | 5.94648i | −1.53693 | + | 0.559397i | −0.965307 | − | 0.261118i | \(-0.915909\pi\) |
−0.571625 | + | 0.820515i | \(0.693687\pi\) | |||||||
\(114\) | 1.75993 | + | 0.640563i | 0.164833 | + | 0.0599942i | ||||
\(115\) | 5.08684 | − | 4.26837i | 0.474350 | − | 0.398027i | ||||
\(116\) | −0.740486 | − | 4.19950i | −0.0687524 | − | 0.389914i | ||||
\(117\) | 8.00123 | 0.739714 | ||||||||
\(118\) | 1.71578 | + | 9.73067i | 0.157950 | + | 0.895781i | ||||
\(119\) | 14.9673 | − | 25.9241i | 1.37205 | − | 2.37646i | ||||
\(120\) | −0.379739 | − | 0.318639i | −0.0346652 | − | 0.0290876i | ||||
\(121\) | 5.49936 | + | 9.52517i | 0.499942 | + | 0.865925i | ||||
\(122\) | 4.84210 | − | 8.38676i | 0.438383 | − | 0.759301i | ||||
\(123\) | 0.133584 | − | 0.0486207i | 0.0120449 | − | 0.00438398i | ||||
\(124\) | 5.98541 | − | 5.02235i | 0.537505 | − | 0.451021i | ||||
\(125\) | 0.500000 | + | 0.866025i | 0.0447214 | + | 0.0774597i | ||||
\(126\) | −2.27922 | + | 12.9261i | −0.203049 | + | 1.15155i | ||||
\(127\) | −3.39837 | + | 19.2731i | −0.301556 | + | 1.71021i | 0.337731 | + | 0.941243i | \(0.390341\pi\) |
−0.639287 | + | 0.768968i | \(0.720770\pi\) | |||||||
\(128\) | −0.766044 | − | 0.642788i | −0.0677094 | − | 0.0568149i | ||||
\(129\) | −2.31109 | − | 0.841167i | −0.203480 | − | 0.0740606i | ||||
\(130\) | 2.72983 | + | 0.993578i | 0.239422 | + | 0.0871426i | ||||
\(131\) | 4.09249 | + | 3.43401i | 0.357562 | + | 0.300030i | 0.803818 | − | 0.594875i | \(-0.202798\pi\) |
−0.446256 | + | 0.894905i | \(0.647243\pi\) | |||||||
\(132\) | 0.00307436 | − | 0.0174355i | 0.000267588 | − | 0.00151757i | ||||
\(133\) | 3.12651 | − | 17.7313i | 0.271103 | − | 1.53750i | ||||
\(134\) | −0.250164 | − | 0.433297i | −0.0216109 | − | 0.0374311i | ||||
\(135\) | −2.18512 | + | 1.83353i | −0.188065 | + | 0.157805i | ||||
\(136\) | 5.90267 | − | 2.14840i | 0.506150 | − | 0.184224i | ||||
\(137\) | −3.73919 | + | 6.47647i | −0.319461 | + | 0.553322i | −0.980376 | − | 0.197139i | \(-0.936835\pi\) |
0.660915 | + | 0.750461i | \(0.270168\pi\) | |||||||
\(138\) | 1.64587 | + | 2.85073i | 0.140106 | + | 0.242670i | ||||
\(139\) | 6.27727 | + | 5.26726i | 0.532431 | + | 0.446763i | 0.868940 | − | 0.494917i | \(-0.164802\pi\) |
−0.336509 | + | 0.941680i | \(0.609246\pi\) | |||||||
\(140\) | −2.38276 | + | 4.12706i | −0.201380 | + | 0.348800i | ||||
\(141\) | −0.00727683 | − | 0.0412689i | −0.000612819 | − | 0.00347547i | ||||
\(142\) | 9.29754 | 0.780232 | ||||||||
\(143\) | 0.0180166 | + | 0.102177i | 0.00150663 | + | 0.00854451i | ||||
\(144\) | −2.10989 | + | 1.77041i | −0.175824 | + | 0.147534i | ||||
\(145\) | −4.00712 | − | 1.45847i | −0.332773 | − | 0.121119i | ||||
\(146\) | −7.92660 | + | 2.88505i | −0.656010 | + | 0.238768i | ||||
\(147\) | −7.78773 | −0.642322 | ||||||||
\(148\) | 1.56424 | + | 5.87819i | 0.128580 | + | 0.483184i | ||||
\(149\) | 7.89698 | 0.646946 | 0.323473 | − | 0.946237i | \(-0.395150\pi\) | ||||
0.323473 | + | 0.946237i | \(0.395150\pi\) | |||||||
\(150\) | −0.465818 | + | 0.169544i | −0.0380339 | + | 0.0138432i | ||||
\(151\) | −5.21434 | − | 1.89787i | −0.424337 | − | 0.154446i | 0.121020 | − | 0.992650i | \(-0.461384\pi\) |
−0.545357 | + | 0.838204i | \(0.683606\pi\) | |||||||
\(152\) | 2.89423 | − | 2.42855i | 0.234753 | − | 0.196981i | ||||
\(153\) | −3.00427 | − | 17.0381i | −0.242881 | − | 1.37745i | ||||
\(154\) | −0.170201 | −0.0137152 | ||||||||
\(155\) | −1.35678 | − | 7.69469i | −0.108979 | − | 0.618052i | ||||
\(156\) | −0.720031 | + | 1.24713i | −0.0576486 | + | 0.0998503i | ||||
\(157\) | −17.0032 | − | 14.2674i | −1.35701 | − | 1.13866i | −0.976894 | − | 0.213723i | \(-0.931441\pi\) |
−0.380112 | − | 0.924941i | \(-0.624114\pi\) | |||||||
\(158\) | 2.09748 | + | 3.63295i | 0.166867 | + | 0.289022i | ||||
\(159\) | 3.09741 | − | 5.36487i | 0.245641 | − | 0.425462i | ||||
\(160\) | −0.939693 | + | 0.342020i | −0.0742892 | + | 0.0270391i | ||||
\(161\) | 24.2414 | − | 20.3410i | 1.91049 | − | 1.60309i | ||||
\(162\) | 3.42440 | + | 5.93123i | 0.269046 | + | 0.466002i | ||||
\(163\) | 0.227268 | − | 1.28890i | 0.0178010 | − | 0.100955i | −0.974613 | − | 0.223897i | \(-0.928122\pi\) |
0.992414 | + | 0.122943i | \(0.0392331\pi\) | |||||||
\(164\) | 0.0497977 | − | 0.282417i | 0.00388855 | − | 0.0220530i | ||||
\(165\) | −0.0135624 | − | 0.0113802i | −0.00105583 | − | 0.000885951i | ||||
\(166\) | −6.45053 | − | 2.34780i | −0.500659 | − | 0.182225i | ||||
\(167\) | −5.74310 | − | 2.09032i | −0.444415 | − | 0.161754i | 0.110113 | − | 0.993919i | \(-0.464879\pi\) |
−0.554528 | + | 0.832165i | \(0.687101\pi\) | |||||||
\(168\) | −1.80965 | − | 1.51848i | −0.139618 | − | 0.117153i | ||||
\(169\) | −0.791977 | + | 4.49152i | −0.0609213 | + | 0.345502i | ||||
\(170\) | 1.09077 | − | 6.18606i | 0.0836582 | − | 0.474449i | ||||
\(171\) | −5.20302 | − | 9.01189i | −0.397885 | − | 0.689157i | ||||
\(172\) | −3.80061 | + | 3.18909i | −0.289794 | + | 0.243166i | ||||
\(173\) | −9.91493 | + | 3.60874i | −0.753818 | + | 0.274367i | −0.690211 | − | 0.723608i | \(-0.742482\pi\) |
−0.0636065 | + | 0.997975i | \(0.520260\pi\) | |||||||
\(174\) | 1.05693 | − | 1.83066i | 0.0801258 | − | 0.138782i | ||||
\(175\) | 2.38276 | + | 4.12706i | 0.180120 | + | 0.311976i | ||||
\(176\) | −0.0273594 | − | 0.0229573i | −0.00206230 | − | 0.00173047i | ||||
\(177\) | −2.44902 | + | 4.24182i | −0.184079 | + | 0.318835i | ||||
\(178\) | −1.99369 | − | 11.3068i | −0.149433 | − | 0.847479i | ||||
\(179\) | −4.87224 | −0.364168 | −0.182084 | − | 0.983283i | \(-0.558284\pi\) | ||||
−0.182084 | + | 0.983283i | \(0.558284\pi\) | |||||||
\(180\) | 0.478274 | + | 2.71242i | 0.0356484 | + | 0.202172i | ||||
\(181\) | 5.39164 | − | 4.52413i | 0.400758 | − | 0.336276i | −0.420029 | − | 0.907511i | \(-0.637980\pi\) |
0.820786 | + | 0.571235i | \(0.193536\pi\) | |||||||
\(182\) | 13.0091 | + | 4.73491i | 0.964296 | + | 0.350975i | ||||
\(183\) | 4.51108 | − | 1.64190i | 0.333468 | − | 0.121373i | ||||
\(184\) | 6.64040 | 0.489537 | ||||||||
\(185\) | 5.87279 | + | 1.58442i | 0.431776 | + | 0.116489i | ||||
\(186\) | 3.87321 | 0.283997 | ||||||||
\(187\) | 0.210815 | − | 0.0767305i | 0.0154163 | − | 0.00561109i | ||||
\(188\) | −0.0794377 | − | 0.0289130i | −0.00579359 | − | 0.00210869i | ||||
\(189\) | −10.4132 | + | 8.73773i | −0.757450 | + | 0.635576i | ||||
\(190\) | −0.656069 | − | 3.72075i | −0.0475962 | − | 0.269932i | ||||
\(191\) | 12.0681 | 0.873221 | 0.436610 | − | 0.899651i | \(-0.356179\pi\) | ||||
0.436610 | + | 0.899651i | \(0.356179\pi\) | |||||||
\(192\) | −0.0860798 | − | 0.488183i | −0.00621227 | − | 0.0352315i | ||||
\(193\) | −9.20478 | + | 15.9431i | −0.662574 | + | 1.14761i | 0.317362 | + | 0.948304i | \(0.397203\pi\) |
−0.979937 | + | 0.199308i | \(0.936130\pi\) | |||||||
\(194\) | 3.78354 | + | 3.17477i | 0.271643 | + | 0.227935i | ||||
\(195\) | 0.720031 | + | 1.24713i | 0.0515625 | + | 0.0893089i | ||||
\(196\) | −7.85507 | + | 13.6054i | −0.561077 | + | 0.971813i | ||||
\(197\) | −1.68946 | + | 0.614913i | −0.120369 | + | 0.0438107i | −0.401502 | − | 0.915858i | \(-0.631512\pi\) |
0.281133 | + | 0.959669i | \(0.409290\pi\) | |||||||
\(198\) | −0.0753552 | + | 0.0632305i | −0.00535526 | + | 0.00449360i | ||||
\(199\) | 1.53649 | + | 2.66128i | 0.108919 | + | 0.188653i | 0.915333 | − | 0.402699i | \(-0.131928\pi\) |
−0.806414 | + | 0.591352i | \(0.798594\pi\) | |||||||
\(200\) | −0.173648 | + | 0.984808i | −0.0122788 | + | 0.0696364i | ||||
\(201\) | 0.0430681 | − | 0.244251i | 0.00303779 | − | 0.0172282i | ||||
\(202\) | −9.97663 | − | 8.37138i | −0.701953 | − | 0.589009i | ||||
\(203\) | −19.0960 | − | 6.95037i | −1.34028 | − | 0.487820i | ||||
\(204\) | 2.92604 | + | 1.06499i | 0.204863 | + | 0.0745642i | ||||
\(205\) | −0.219681 | − | 0.184334i | −0.0153432 | − | 0.0128745i | ||||
\(206\) | −0.908662 | + | 5.15328i | −0.0633095 | + | 0.359046i | ||||
\(207\) | 3.17593 | − | 18.0116i | 0.220742 | − | 1.25189i | ||||
\(208\) | 1.45251 | + | 2.51583i | 0.100714 | + | 0.174441i | ||||
\(209\) | 0.103368 | − | 0.0867361i | 0.00715012 | − | 0.00599966i | ||||
\(210\) | −2.21987 | + | 0.807965i | −0.153185 | + | 0.0557549i | ||||
\(211\) | 6.45980 | − | 11.1887i | 0.444711 | − | 0.770261i | −0.553321 | − | 0.832968i | \(-0.686640\pi\) |
0.998032 | + | 0.0627064i | \(0.0199732\pi\) | |||||||
\(212\) | −6.24838 | − | 10.8225i | −0.429141 | − | 0.743294i | ||||
\(213\) | 3.53063 | + | 2.96255i | 0.241915 | + | 0.202991i | ||||
\(214\) | 2.27250 | − | 3.93609i | 0.155345 | − | 0.269065i | ||||
\(215\) | 0.861529 | + | 4.88597i | 0.0587558 | + | 0.333221i | ||||
\(216\) | −2.85247 | −0.194086 | ||||||||
\(217\) | −6.46577 | − | 36.6692i | −0.438925 | − | 2.48927i | ||||
\(218\) | −9.46657 | + | 7.94340i | −0.641157 | + | 0.537995i | ||||
\(219\) | −3.92932 | − | 1.43016i | −0.265519 | − | 0.0966411i | ||||
\(220\) | −0.0335613 | + | 0.0122153i | −0.00226270 | + | 0.000823557i | ||||
\(221\) | −18.2479 | −1.22749 | ||||||||
\(222\) | −1.27902 | + | 2.73060i | −0.0858419 | + | 0.183266i | ||||
\(223\) | 23.4461 | 1.57007 | 0.785034 | − | 0.619453i | \(-0.212645\pi\) | ||||
0.785034 | + | 0.619453i | \(0.212645\pi\) | |||||||
\(224\) | −4.47812 | + | 1.62990i | −0.299207 | + | 0.108902i | ||||
\(225\) | 2.58817 | + | 0.942015i | 0.172544 | + | 0.0628010i | ||||
\(226\) | −13.3187 | + | 11.1757i | −0.885947 | + | 0.743398i | ||||
\(227\) | 2.64889 | + | 15.0226i | 0.175813 | + | 0.997085i | 0.937201 | + | 0.348789i | \(0.113407\pi\) |
−0.761388 | + | 0.648296i | \(0.775482\pi\) | |||||||
\(228\) | 1.87288 | 0.124035 | ||||||||
\(229\) | −0.885892 | − | 5.02414i | −0.0585414 | − | 0.332005i | 0.941445 | − | 0.337166i | \(-0.109468\pi\) |
−0.999987 | + | 0.00516105i | \(0.998357\pi\) | |||||||
\(230\) | 3.32020 | − | 5.75075i | 0.218927 | − | 0.379194i | ||||
\(231\) | −0.0646321 | − | 0.0542327i | −0.00425248 | − | 0.00356825i | ||||
\(232\) | −2.13214 | − | 3.69298i | −0.139982 | − | 0.242456i | ||||
\(233\) | 13.3930 | − | 23.1973i | 0.877402 | − | 1.51971i | 0.0232206 | − | 0.999730i | \(-0.492608\pi\) |
0.854182 | − | 0.519975i | \(-0.174059\pi\) | |||||||
\(234\) | 7.51869 | − | 2.73658i | 0.491512 | − | 0.178896i | ||||
\(235\) | −0.0647582 | + | 0.0543386i | −0.00422436 | + | 0.00354466i | ||||
\(236\) | 4.94039 | + | 8.55701i | 0.321592 | + | 0.557014i | ||||
\(237\) | −0.361102 | + | 2.04791i | −0.0234561 | + | 0.133026i | ||||
\(238\) | 5.19808 | − | 29.4798i | 0.336942 | − | 1.91089i | ||||
\(239\) | 15.1202 | + | 12.6874i | 0.978048 | + | 0.820679i | 0.983794 | − | 0.179304i | \(-0.0573846\pi\) |
−0.00574617 | + | 0.999983i | \(0.501829\pi\) | |||||||
\(240\) | −0.465818 | − | 0.169544i | −0.0300684 | − | 0.0109440i | ||||
\(241\) | −17.5991 | − | 6.40554i | −1.13366 | − | 0.412617i | −0.294038 | − | 0.955794i | \(-0.594999\pi\) |
−0.839618 | + | 0.543177i | \(0.817221\pi\) | |||||||
\(242\) | 8.42551 | + | 7.06984i | 0.541612 | + | 0.454467i | ||||
\(243\) | −2.07552 | + | 11.7709i | −0.133145 | + | 0.755101i | ||||
\(244\) | 1.68164 | − | 9.53707i | 0.107656 | − | 0.610548i | ||||
\(245\) | 7.85507 | + | 13.6054i | 0.501842 | + | 0.869216i | ||||
\(246\) | 0.108899 | − | 0.0913771i | 0.00694314 | − | 0.00582599i | ||||
\(247\) | −10.3137 | + | 3.75389i | −0.656246 | + | 0.238854i | ||||
\(248\) | 3.90670 | − | 6.76660i | 0.248076 | − | 0.429679i | ||||
\(249\) | −1.70142 | − | 2.94694i | −0.107823 | − | 0.186755i | ||||
\(250\) | 0.766044 | + | 0.642788i | 0.0484489 | + | 0.0406535i | ||||
\(251\) | 5.30044 | − | 9.18063i | 0.334561 | − | 0.579476i | −0.648840 | − | 0.760925i | \(-0.724745\pi\) |
0.983400 | + | 0.181449i | \(0.0580787\pi\) | |||||||
\(252\) | 2.27922 | + | 12.9261i | 0.143577 | + | 0.814268i | ||||
\(253\) | 0.237163 | 0.0149103 | ||||||||
\(254\) | 3.39837 | + | 19.2731i | 0.213233 | + | 1.20930i | ||||
\(255\) | 2.38533 | − | 2.00153i | 0.149375 | − | 0.125340i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 11.4314 | − | 4.16068i | 0.713070 | − | 0.259536i | 0.0400890 | − | 0.999196i | \(-0.487236\pi\) |
0.672981 | + | 0.739660i | \(0.265014\pi\) | |||||||
\(258\) | −2.45941 | −0.153116 | ||||||||
\(259\) | 27.9869 | + | 7.55059i | 1.73902 | + | 0.469171i | ||||
\(260\) | 2.90503 | 0.180162 | ||||||||
\(261\) | −11.0367 | + | 4.01702i | −0.683153 | + | 0.248647i | ||||
\(262\) | 5.02018 | + | 1.82720i | 0.310148 | + | 0.112885i | ||||
\(263\) | 24.1996 | − | 20.3059i | 1.49221 | − | 1.25211i | 0.600408 | − | 0.799694i | \(-0.295005\pi\) |
0.891804 | − | 0.452421i | \(-0.149440\pi\) | |||||||
\(264\) | −0.00307436 | − | 0.0174355i | −0.000189214 | − | 0.00107308i | ||||
\(265\) | −12.4968 | −0.767670 | ||||||||
\(266\) | −3.12651 | − | 17.7313i | −0.191698 | − | 1.08718i | ||||
\(267\) | 2.84570 | − | 4.92889i | 0.174154 | − | 0.301643i | ||||
\(268\) | −0.383273 | − | 0.321605i | −0.0234121 | − | 0.0196451i | ||||
\(269\) | 4.32236 | + | 7.48655i | 0.263539 | + | 0.456463i | 0.967180 | − | 0.254093i | \(-0.0817768\pi\) |
−0.703641 | + | 0.710556i | \(0.748443\pi\) | |||||||
\(270\) | −1.42623 | + | 2.47031i | −0.0867979 | + | 0.150338i | ||||
\(271\) | 2.12113 | − | 0.772027i | 0.128849 | − | 0.0468973i | −0.276791 | − | 0.960930i | \(-0.589271\pi\) |
0.405640 | + | 0.914033i | \(0.367049\pi\) | |||||||
\(272\) | 4.81190 | − | 4.03767i | 0.291765 | − | 0.244819i | ||||
\(273\) | 3.43132 | + | 5.94322i | 0.207673 | + | 0.359700i | ||||
\(274\) | −1.29861 | + | 7.36477i | −0.0784518 | + | 0.444922i | ||||
\(275\) | −0.00620188 | + | 0.0351726i | −0.000373987 | + | 0.00212099i | ||||
\(276\) | 2.52162 | + | 2.11589i | 0.151783 | + | 0.127361i | ||||
\(277\) | −8.82907 | − | 3.21352i | −0.530487 | − | 0.193082i | 0.0628685 | − | 0.998022i | \(-0.479975\pi\) |
−0.593356 | + | 0.804940i | \(0.702197\pi\) | |||||||
\(278\) | 7.70021 | + | 2.80265i | 0.461828 | + | 0.168092i | ||||
\(279\) | −16.4854 | − | 13.8329i | −0.986956 | − | 0.828154i | ||||
\(280\) | −0.827523 | + | 4.69312i | −0.0494540 | + | 0.280467i | ||||
\(281\) | −0.0250050 | + | 0.141810i | −0.00149167 | + | 0.00845969i | −0.985545 | − | 0.169417i | \(-0.945812\pi\) |
0.984053 | + | 0.177876i | \(0.0569227\pi\) | |||||||
\(282\) | −0.0209528 | − | 0.0362913i | −0.00124772 | − | 0.00216111i | ||||
\(283\) | −20.2500 | + | 16.9918i | −1.20374 | + | 1.01006i | −0.204225 | + | 0.978924i | \(0.565467\pi\) |
−0.999515 | + | 0.0311341i | \(0.990088\pi\) | |||||||
\(284\) | 8.73683 | − | 3.17995i | 0.518435 | − | 0.188695i | ||||
\(285\) | 0.936440 | − | 1.62196i | 0.0554699 | − | 0.0960767i | ||||
\(286\) | 0.0518768 | + | 0.0898533i | 0.00306754 | + | 0.00531314i | ||||
\(287\) | −1.04689 | − | 0.878449i | −0.0617962 | − | 0.0518532i | ||||
\(288\) | −1.37713 | + | 2.38527i | −0.0811484 | + | 0.140553i | ||||
\(289\) | 3.89965 | + | 22.1160i | 0.229391 | + | 1.30094i | ||||
\(290\) | −4.26429 | −0.250407 | ||||||||
\(291\) | 0.425154 | + | 2.41117i | 0.0249230 | + | 0.141345i | ||||
\(292\) | −6.46183 | + | 5.42212i | −0.378150 | + | 0.317305i | ||||
\(293\) | 12.2370 | + | 4.45390i | 0.714893 | + | 0.260200i | 0.673756 | − | 0.738954i | \(-0.264680\pi\) |
0.0411366 | + | 0.999154i | \(0.486902\pi\) | |||||||
\(294\) | −7.31808 | + | 2.66356i | −0.426799 | + | 0.155342i | ||||
\(295\) | 9.88078 | 0.575281 | ||||||||
\(296\) | 3.48037 | + | 4.98869i | 0.202292 | + | 0.289962i | ||||
\(297\) | −0.101877 | −0.00591147 | ||||||||
\(298\) | 7.42073 | − | 2.70093i | 0.429871 | − | 0.156460i | ||||
\(299\) | −18.1272 | − | 6.59776i | −1.04832 | − | 0.381558i | ||||
\(300\) | −0.379739 | + | 0.318639i | −0.0219242 | + | 0.0183966i | ||||
\(301\) | 4.10563 | + | 23.2842i | 0.236645 | + | 1.34208i | ||||
\(302\) | −5.54899 | −0.319308 | ||||||||
\(303\) | −1.12107 | − | 6.35788i | −0.0644035 | − | 0.365250i | ||||
\(304\) | 1.88907 | − | 3.27197i | 0.108346 | − | 0.187661i | ||||
\(305\) | −7.41852 | − | 6.22488i | −0.424783 | − | 0.356436i | ||||
\(306\) | −8.65046 | − | 14.9830i | −0.494514 | − | 0.856523i | ||||
\(307\) | −11.3954 | + | 19.7374i | −0.650369 | + | 1.12647i | 0.332664 | + | 0.943045i | \(0.392053\pi\) |
−0.983033 | + | 0.183427i | \(0.941281\pi\) | |||||||
\(308\) | −0.159937 | + | 0.0582123i | −0.00911326 | + | 0.00331695i | ||||
\(309\) | −1.98709 | + | 1.66736i | −0.113041 | + | 0.0948530i | ||||
\(310\) | −3.90670 | − | 6.76660i | −0.221885 | − | 0.384317i | ||||
\(311\) | 4.63208 | − | 26.2698i | 0.262661 | − | 1.48963i | −0.512952 | − | 0.858417i | \(-0.671448\pi\) |
0.775613 | − | 0.631209i | \(-0.217441\pi\) | |||||||
\(312\) | −0.250064 | + | 1.41818i | −0.0141571 | + | 0.0802889i | ||||
\(313\) | −13.1588 | − | 11.0416i | −0.743782 | − | 0.624107i | 0.190069 | − | 0.981771i | \(-0.439129\pi\) |
−0.933850 | + | 0.357664i | \(0.883573\pi\) | |||||||
\(314\) | −20.8576 | − | 7.59153i | −1.17706 | − | 0.428415i | ||||
\(315\) | 12.3339 | + | 4.48919i | 0.694939 | + | 0.252937i | ||||
\(316\) | 3.21353 | + | 2.69647i | 0.180775 | + | 0.151688i | ||||
\(317\) | −3.63150 | + | 20.5952i | −0.203965 | + | 1.15674i | 0.695095 | + | 0.718918i | \(0.255362\pi\) |
−0.899060 | + | 0.437825i | \(0.855749\pi\) | |||||||
\(318\) | 1.07572 | − | 6.10070i | 0.0603233 | − | 0.342111i | ||||
\(319\) | −0.0761499 | − | 0.131896i | −0.00426358 | − | 0.00738473i | ||||
\(320\) | −0.766044 | + | 0.642788i | −0.0428232 | + | 0.0359329i | ||||
\(321\) | 2.11715 | − | 0.770578i | 0.118168 | − | 0.0430095i | ||||
\(322\) | 15.8225 | − | 27.4053i | 0.881752 | − | 1.52724i | ||||
\(323\) | 11.8662 | + | 20.5529i | 0.660254 | + | 1.14359i | ||||
\(324\) | 5.24648 | + | 4.40232i | 0.291471 | + | 0.244573i | ||||
\(325\) | 1.45251 | − | 2.51583i | 0.0805710 | − | 0.139553i | ||||
\(326\) | −0.227268 | − | 1.28890i | −0.0125872 | − | 0.0713857i | ||||
\(327\) | −6.12590 | −0.338763 | ||||||||
\(328\) | −0.0497977 | − | 0.282417i | −0.00274962 | − | 0.0155939i | ||||
\(329\) | −0.308606 | + | 0.258951i | −0.0170140 | + | 0.0142765i | ||||
\(330\) | −0.0166368 | − | 0.00605530i | −0.000915826 | − | 0.000333333i | ||||
\(331\) | −32.8499 | + | 11.9564i | −1.80559 | + | 0.657182i | −0.807899 | + | 0.589321i | \(0.799395\pi\) |
−0.997695 | + | 0.0678611i | \(0.978383\pi\) | |||||||
\(332\) | −6.86452 | −0.376739 | ||||||||
\(333\) | 15.1960 | − | 7.05427i | 0.832737 | − | 0.386572i | ||||
\(334\) | −6.11168 | −0.334416 | ||||||||
\(335\) | −0.470154 | + | 0.171122i | −0.0256873 | + | 0.00934940i | ||||
\(336\) | −2.21987 | − | 0.807965i | −0.121104 | − | 0.0440781i | ||||
\(337\) | −18.9211 | + | 15.8767i | −1.03070 | + | 0.864856i | −0.990934 | − | 0.134353i | \(-0.957104\pi\) |
−0.0397621 | + | 0.999209i | \(0.512660\pi\) | |||||||
\(338\) | 0.791977 | + | 4.49152i | 0.0430778 | + | 0.244307i | ||||
\(339\) | −8.61864 | −0.468100 | ||||||||
\(340\) | −1.09077 | − | 6.18606i | −0.0591553 | − | 0.335486i | ||||
\(341\) | 0.139528 | − | 0.241670i | 0.00755589 | − | 0.0130872i | ||||
\(342\) | −7.97149 | − | 6.68887i | −0.431049 | − | 0.361693i | ||||
\(343\) | 20.7542 | + | 35.9473i | 1.12062 | + | 1.94097i | ||||
\(344\) | −2.48067 | + | 4.29665i | −0.133749 | + | 0.231660i | ||||
\(345\) | 3.09322 | − | 1.12584i | 0.166533 | − | 0.0606132i | ||||
\(346\) | −8.08272 | + | 6.78221i | −0.434530 | + | 0.364614i | ||||
\(347\) | 5.68747 | + | 9.85098i | 0.305319 | + | 0.528828i | 0.977332 | − | 0.211711i | \(-0.0679035\pi\) |
−0.672013 | + | 0.740539i | \(0.734570\pi\) | |||||||
\(348\) | 0.367069 | − | 2.08175i | 0.0196769 | − | 0.111594i | ||||
\(349\) | −1.67847 | + | 9.51910i | −0.0898467 | + | 0.509546i | 0.906358 | + | 0.422510i | \(0.138851\pi\) |
−0.996205 | + | 0.0870362i | \(0.972260\pi\) | |||||||
\(350\) | 3.65060 | + | 3.06322i | 0.195133 | + | 0.163736i | ||||
\(351\) | 7.78677 | + | 2.83415i | 0.415627 | + | 0.151276i | ||||
\(352\) | −0.0335613 | − | 0.0122153i | −0.00178882 | − | 0.000651079i | ||||
\(353\) | 0.795845 | + | 0.667794i | 0.0423586 | + | 0.0355431i | 0.663721 | − | 0.747980i | \(-0.268976\pi\) |
−0.621363 | + | 0.783523i | \(0.713421\pi\) | |||||||
\(354\) | −0.850535 | + | 4.82362i | −0.0452054 | + | 0.256373i | ||||
\(355\) | 1.61450 | − | 9.15629i | 0.0856888 | − | 0.485965i | ||||
\(356\) | −5.74061 | − | 9.94302i | −0.304251 | − | 0.526979i | ||||
\(357\) | 11.3673 | − | 9.53831i | 0.601622 | − | 0.504821i | ||||
\(358\) | −4.57841 | + | 1.66640i | −0.241976 | + | 0.0880722i | ||||
\(359\) | −1.35539 | + | 2.34760i | −0.0715347 | + | 0.123902i | −0.899574 | − | 0.436768i | \(-0.856123\pi\) |
0.828039 | + | 0.560670i | \(0.189456\pi\) | |||||||
\(360\) | 1.37713 | + | 2.38527i | 0.0725813 | + | 0.125715i | ||||
\(361\) | −3.62001 | − | 3.03755i | −0.190527 | − | 0.159871i | ||||
\(362\) | 3.51915 | − | 6.09534i | 0.184962 | − | 0.320364i | ||||
\(363\) | 0.946768 | + | 5.36939i | 0.0496924 | + | 0.281820i | ||||
\(364\) | 13.8440 | 0.725621 | ||||||||
\(365\) | 1.46478 | + | 8.30716i | 0.0766699 | + | 0.434817i | ||||
\(366\) | 3.67746 | − | 3.08576i | 0.192224 | − | 0.161295i | ||||
\(367\) | 24.4423 | + | 8.89625i | 1.27588 | + | 0.464381i | 0.889066 | − | 0.457779i | \(-0.151355\pi\) |
0.386809 | + | 0.922160i | \(0.373577\pi\) | |||||||
\(368\) | 6.23993 | − | 2.27115i | 0.325279 | − | 0.118392i | ||||
\(369\) | −0.789851 | −0.0411180 | ||||||||
\(370\) | 6.06052 | − | 0.519740i | 0.315071 | − | 0.0270200i | ||||
\(371\) | −59.5536 | −3.09187 | ||||||||
\(372\) | 3.63962 | − | 1.32471i | 0.188706 | − | 0.0686832i | ||||
\(373\) | 24.7555 | + | 9.01028i | 1.28179 | + | 0.466534i | 0.891025 | − | 0.453955i | \(-0.149987\pi\) |
0.390768 | + | 0.920489i | \(0.372209\pi\) | |||||||
\(374\) | 0.171858 | − | 0.144206i | 0.00888657 | − | 0.00745672i | ||||
\(375\) | 0.0860798 | + | 0.488183i | 0.00444514 | + | 0.0252096i | ||||
\(376\) | −0.0845358 | −0.00435960 | ||||||||
\(377\) | 2.15113 | + | 12.1997i | 0.110789 | + | 0.628315i | ||||
\(378\) | −6.79674 | + | 11.7723i | −0.349587 | + | 0.605502i | ||||
\(379\) | −12.7884 | − | 10.7307i | −0.656896 | − | 0.551202i | 0.252258 | − | 0.967660i | \(-0.418827\pi\) |
−0.909155 | + | 0.416458i | \(0.863271\pi\) | |||||||
\(380\) | −1.88907 | − | 3.27197i | −0.0969075 | − | 0.167849i | ||||
\(381\) | −4.85066 | + | 8.40159i | −0.248507 | + | 0.430427i | ||||
\(382\) | 11.3404 | − | 4.12755i | 0.580223 | − | 0.211184i | ||||
\(383\) | −15.9173 | + | 13.3562i | −0.813335 | + | 0.682469i | −0.951401 | − | 0.307954i | \(-0.900356\pi\) |
0.138066 | + | 0.990423i | \(0.455911\pi\) | |||||||
\(384\) | −0.247857 | − | 0.429301i | −0.0126484 | − | 0.0219077i | ||||
\(385\) | −0.0295552 | + | 0.167616i | −0.00150627 | + | 0.00854249i | ||||
\(386\) | −3.19679 | + | 18.1299i | −0.162712 | + | 0.922786i | ||||
\(387\) | 10.4679 | + | 8.78362i | 0.532114 | + | 0.446496i | ||||
\(388\) | 4.64120 | + | 1.68926i | 0.235621 | + | 0.0857592i | ||||
\(389\) | −9.50776 | − | 3.46054i | −0.482063 | − | 0.175456i | 0.0895463 | − | 0.995983i | \(-0.471458\pi\) |
−0.571609 | + | 0.820526i | \(0.693681\pi\) | |||||||
\(390\) | 1.10315 | + | 0.925654i | 0.0558602 | + | 0.0468723i | ||||
\(391\) | −7.24315 | + | 41.0779i | −0.366302 | + | 2.07740i | ||||
\(392\) | −2.72804 | + | 15.4715i | −0.137787 | + | 0.781428i | ||||
\(393\) | 1.32414 | + | 2.29348i | 0.0667941 | + | 0.115691i | ||||
\(394\) | −1.37726 | + | 1.15566i | −0.0693853 | + | 0.0582212i | ||||
\(395\) | 3.94198 | − | 1.43476i | 0.198342 | − | 0.0721907i | ||||
\(396\) | −0.0491846 | + | 0.0851903i | −0.00247162 | + | 0.00428097i | ||||
\(397\) | −10.3101 | − | 17.8577i | −0.517451 | − | 0.896251i | −0.999795 | − | 0.0202691i | \(-0.993548\pi\) |
0.482344 | − | 0.875982i | \(-0.339786\pi\) | |||||||
\(398\) | 2.35404 | + | 1.97528i | 0.117997 | + | 0.0990116i | ||||
\(399\) | 4.46262 | − | 7.72949i | 0.223410 | − | 0.386958i | ||||
\(400\) | 0.173648 | + | 0.984808i | 0.00868241 | + | 0.0492404i | ||||
\(401\) | 25.2432 | 1.26058 | 0.630291 | − | 0.776359i | \(-0.282935\pi\) | ||||
0.630291 | + | 0.776359i | \(0.282935\pi\) | |||||||
\(402\) | −0.0430681 | − | 0.244251i | −0.00214804 | − | 0.0121821i | ||||
\(403\) | −17.3878 | + | 14.5901i | −0.866147 | + | 0.726784i | ||||
\(404\) | −12.2381 | − | 4.45432i | −0.608871 | − | 0.221611i | ||||
\(405\) | 6.43576 | − | 2.34243i | 0.319796 | − | 0.116396i | ||||
\(406\) | −20.3215 | −1.00854 | ||||||||
\(407\) | 0.124302 | + | 0.178172i | 0.00616142 | + | 0.00883167i | ||||
\(408\) | 3.11382 | 0.154157 | ||||||||
\(409\) | 9.86508 | − | 3.59060i | 0.487797 | − | 0.177544i | −0.0864004 | − | 0.996260i | \(-0.527536\pi\) |
0.574197 | + | 0.818717i | \(0.305314\pi\) | |||||||
\(410\) | −0.269479 | − | 0.0980823i | −0.0133086 | − | 0.00484394i | ||||
\(411\) | −2.83983 | + | 2.38290i | −0.140079 | + | 0.117540i | ||||
\(412\) | 0.908662 | + | 5.15328i | 0.0447665 | + | 0.253884i | ||||
\(413\) | 47.0870 | 2.31700 | ||||||||
\(414\) | −3.17593 | − | 18.0116i | −0.156088 | − | 0.885221i | ||||
\(415\) | −3.43226 | + | 5.94484i | −0.168483 | + | 0.291821i | ||||
\(416\) | 2.22538 | + | 1.86732i | 0.109108 | + | 0.0915527i | ||||
\(417\) | 2.03104 | + | 3.51786i | 0.0994603 | + | 0.172270i | ||||
\(418\) | 0.0674687 | − | 0.116859i | 0.00330000 | − | 0.00571577i | ||||
\(419\) | 22.1758 | − | 8.07133i | 1.08336 | − | 0.394310i | 0.262202 | − | 0.965013i | \(-0.415551\pi\) |
0.821157 | + | 0.570703i | \(0.193329\pi\) | |||||||
\(420\) | −1.80965 | + | 1.51848i | −0.0883019 | + | 0.0740941i | ||||
\(421\) | 12.5494 | + | 21.7362i | 0.611620 | + | 1.05936i | 0.990967 | + | 0.134103i | \(0.0428152\pi\) |
−0.379347 | + | 0.925254i | \(0.623851\pi\) | |||||||
\(422\) | 2.24346 | − | 12.7233i | 0.109210 | − | 0.619361i | ||||
\(423\) | −0.0404313 | + | 0.229297i | −0.00196584 | + | 0.0111488i | ||||
\(424\) | −9.57308 | − | 8.03277i | −0.464910 | − | 0.390106i | ||||
\(425\) | −5.90267 | − | 2.14840i | −0.286322 | − | 0.104213i | ||||
\(426\) | 4.33096 | + | 1.57634i | 0.209836 | + | 0.0763740i | ||||
\(427\) | −35.3531 | − | 29.6648i | −1.71086 | − | 1.43558i | ||||
\(428\) | 0.789231 | − | 4.47595i | 0.0381489 | − | 0.216353i | ||||
\(429\) | −0.00893109 | + | 0.0506507i | −0.000431197 | + | 0.00244544i | ||||
\(430\) | 2.48067 | + | 4.29665i | 0.119629 | + | 0.207203i | ||||
\(431\) | −12.5746 | + | 10.5513i | −0.605696 | + | 0.508240i | −0.893271 | − | 0.449519i | \(-0.851596\pi\) |
0.287575 | + | 0.957758i | \(0.407151\pi\) | |||||||
\(432\) | −2.68044 | + | 0.975602i | −0.128963 | + | 0.0469387i | ||||
\(433\) | 0.784375 | − | 1.35858i | 0.0376946 | − | 0.0652890i | −0.846563 | − | 0.532289i | \(-0.821332\pi\) |
0.884257 | + | 0.467000i | \(0.154665\pi\) | |||||||
\(434\) | −18.6174 | − | 32.2463i | −0.893665 | − | 1.54787i | ||||
\(435\) | −1.61931 | − | 1.35877i | −0.0776402 | − | 0.0651478i | ||||
\(436\) | −6.17887 | + | 10.7021i | −0.295914 | + | 0.512538i | ||||
\(437\) | 4.35656 | + | 24.7073i | 0.208402 | + | 1.18191i | ||||
\(438\) | −4.18150 | −0.199800 | ||||||||
\(439\) | −3.63953 | − | 20.6408i | −0.173705 | − | 0.985132i | −0.939628 | − | 0.342199i | \(-0.888828\pi\) |
0.765922 | − | 0.642933i | \(-0.222283\pi\) | |||||||
\(440\) | −0.0273594 | + | 0.0229573i | −0.00130431 | + | 0.00109445i | ||||
\(441\) | 40.6605 | + | 14.7992i | 1.93621 | + | 0.704724i | ||||
\(442\) | −17.1474 | + | 6.24116i | −0.815620 | + | 0.296861i | ||||
\(443\) | −35.9465 | −1.70787 | −0.853934 | − | 0.520381i | \(-0.825790\pi\) | ||||
−0.853934 | + | 0.520381i | \(0.825790\pi\) | |||||||
\(444\) | −0.267960 | + | 3.00338i | −0.0127168 | + | 0.142534i | ||||
\(445\) | −11.4812 | −0.544262 | ||||||||
\(446\) | 22.0321 | − | 8.01904i | 1.04325 | − | 0.379713i | ||||
\(447\) | 3.67856 | + | 1.33889i | 0.173990 | + | 0.0633271i | ||||
\(448\) | −3.65060 | + | 3.06322i | −0.172475 | + | 0.144723i | ||||
\(449\) | 2.99657 | + | 16.9944i | 0.141417 | + | 0.802015i | 0.970175 | + | 0.242408i | \(0.0779371\pi\) |
−0.828758 | + | 0.559608i | \(0.810952\pi\) | |||||||
\(450\) | 2.75427 | 0.129837 | ||||||||
\(451\) | −0.00177853 | − | 0.0100866i | −8.37479e−5 | − | 0.000474958i | ||||
\(452\) | −8.69317 | + | 15.0570i | −0.408892 | + | 0.708222i | ||||
\(453\) | −2.10716 | − | 1.76812i | −0.0990032 | − | 0.0830736i | ||||
\(454\) | 7.62717 | + | 13.2106i | 0.357961 | + | 0.620006i | ||||
\(455\) | 6.92198 | − | 11.9892i | 0.324507 | − | 0.562063i | ||||
\(456\) | 1.75993 | − | 0.640563i | 0.0824163 | − | 0.0299971i | ||||
\(457\) | 7.81430 | − | 6.55698i | 0.365538 | − | 0.306722i | −0.441456 | − | 0.897283i | \(-0.645538\pi\) |
0.806993 | + | 0.590561i | \(0.201093\pi\) | |||||||
\(458\) | −2.55082 | − | 4.41816i | −0.119192 | − | 0.206447i | ||||
\(459\) | 3.11139 | − | 17.6456i | 0.145227 | − | 0.823624i | ||||
\(460\) | 1.15309 | − | 6.53952i | 0.0537633 | − | 0.304907i | ||||
\(461\) | −24.6352 | − | 20.6714i | −1.14737 | − | 0.962761i | −0.147719 | − | 0.989029i | \(-0.547193\pi\) |
−0.999655 | + | 0.0262683i | \(0.991638\pi\) | |||||||
\(462\) | −0.0792829 | − | 0.0288566i | −0.00368858 | − | 0.00134253i | ||||
\(463\) | 21.6211 | + | 7.86944i | 1.00482 | + | 0.365724i | 0.791441 | − | 0.611246i | \(-0.209331\pi\) |
0.213378 | + | 0.976970i | \(0.431554\pi\) | |||||||
\(464\) | −3.26663 | − | 2.74103i | −0.151650 | − | 0.127249i | ||||
\(465\) | 0.672575 | − | 3.81436i | 0.0311899 | − | 0.176887i | ||||
\(466\) | 4.65133 | − | 26.3790i | 0.215469 | − | 1.22198i | ||||
\(467\) | 2.65788 | + | 4.60358i | 0.122992 | + | 0.213028i | 0.920946 | − | 0.389690i | \(-0.127418\pi\) |
−0.797954 | + | 0.602718i | \(0.794084\pi\) | |||||||
\(468\) | 6.12929 | − | 5.14309i | 0.283327 | − | 0.237739i | ||||
\(469\) | −2.24053 | + | 0.815486i | −0.103458 | + | 0.0376556i | ||||
\(470\) | −0.0422679 | + | 0.0732102i | −0.00194967 | + | 0.00337693i | ||||
\(471\) | −5.50147 | − | 9.52882i | −0.253494 | − | 0.439065i | ||||
\(472\) | 7.56912 | + | 6.35124i | 0.348397 | + | 0.292340i | ||||
\(473\) | −0.0885978 | + | 0.153456i | −0.00407373 | + | 0.00705591i | ||||
\(474\) | 0.361102 | + | 2.04791i | 0.0165859 | + | 0.0940636i | ||||
\(475\) | −3.77815 | −0.173353 | ||||||||
\(476\) | −5.19808 | − | 29.4798i | −0.238254 | − | 1.35120i | ||||
\(477\) | −26.3668 | + | 22.1244i | −1.20725 | + | 1.01301i | ||||
\(478\) | 18.5477 | + | 6.75082i | 0.848353 | + | 0.308775i | ||||
\(479\) | −3.97224 | + | 1.44578i | −0.181496 | + | 0.0660592i | −0.431170 | − | 0.902271i | \(-0.641899\pi\) |
0.249673 | + | 0.968330i | \(0.419677\pi\) | |||||||
\(480\) | −0.495714 | −0.0226261 | ||||||||
\(481\) | −4.54417 | − | 17.0763i | −0.207196 | − | 0.778613i | ||||
\(482\) | −18.7285 | −0.853062 | ||||||||
\(483\) | 14.7408 | − | 5.36521i | 0.670729 | − | 0.244125i | ||||
\(484\) | 10.3354 | + | 3.76179i | 0.469792 | + | 0.170990i | ||||
\(485\) | 3.78354 | − | 3.17477i | 0.171802 | − | 0.144159i | ||||
\(486\) | 2.07552 | + | 11.7709i | 0.0941475 | + | 0.533937i | ||||
\(487\) | −11.3349 | −0.513633 | −0.256816 | − | 0.966460i | \(-0.582674\pi\) | ||||
−0.256816 | + | 0.966460i | \(0.582674\pi\) | |||||||
\(488\) | −1.68164 | − | 9.53707i | −0.0761244 | − | 0.431723i | ||||
\(489\) | 0.324391 | − | 0.561862i | 0.0146695 | − | 0.0254083i | ||||
\(490\) | 12.0347 | + | 10.0983i | 0.543671 | + | 0.456194i | ||||
\(491\) | −7.10326 | − | 12.3032i | −0.320566 | − | 0.555236i | 0.660039 | − | 0.751231i | \(-0.270540\pi\) |
−0.980605 | + | 0.195995i | \(0.937206\pi\) | |||||||
\(492\) | 0.0710788 | − | 0.123112i | 0.00320448 | − | 0.00555032i | ||||
\(493\) | 25.1707 | − | 9.16138i | 1.13363 | − | 0.412608i | ||||
\(494\) | −8.40782 | + | 7.05500i | −0.378286 | + | 0.317419i | ||||
\(495\) | 0.0491846 | + | 0.0851903i | 0.00221068 | + | 0.00382902i | ||||
\(496\) | 1.35678 | − | 7.69469i | 0.0609213 | − | 0.345502i | ||||
\(497\) | 7.69393 | − | 43.6344i | 0.345120 | − | 1.95727i | ||||
\(498\) | −2.60672 | − | 2.18730i | −0.116810 | − | 0.0980152i | ||||
\(499\) | −35.1348 | − | 12.7880i | −1.57285 | − | 0.572471i | −0.599217 | − | 0.800587i | \(-0.704521\pi\) |
−0.973634 | + | 0.228116i | \(0.926743\pi\) | |||||||
\(500\) | 0.939693 | + | 0.342020i | 0.0420243 | + | 0.0152956i | ||||
\(501\) | −2.32084 | − | 1.94742i | −0.103688 | − | 0.0870042i | ||||
\(502\) | 1.84082 | − | 10.4398i | 0.0821600 | − | 0.465952i | ||||
\(503\) | 2.86438 | − | 16.2447i | 0.127716 | − | 0.724315i | −0.851941 | − | 0.523638i | \(-0.824575\pi\) |
0.979657 | − | 0.200677i | \(-0.0643143\pi\) | |||||||
\(504\) | 6.56276 | + | 11.3670i | 0.292328 | + | 0.506328i | ||||
\(505\) | −9.97663 | + | 8.37138i | −0.443954 | + | 0.372522i | ||||
\(506\) | 0.222861 | − | 0.0811146i | 0.00990736 | − | 0.00360598i | ||||
\(507\) | −1.13043 | + | 1.95796i | −0.0502041 | + | 0.0869560i | ||||
\(508\) | 9.78521 | + | 16.9485i | 0.434148 | + | 0.751967i | ||||
\(509\) | −7.38147 | − | 6.19379i | −0.327178 | − | 0.274535i | 0.464371 | − | 0.885641i | \(-0.346280\pi\) |
−0.791549 | + | 0.611106i | \(0.790725\pi\) | |||||||
\(510\) | 1.55691 | − | 2.69665i | 0.0689412 | − | 0.119410i | ||||
\(511\) | 6.98042 | + | 39.5879i | 0.308796 | + | 1.75127i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −1.87142 | − | 10.6133i | −0.0826250 | − | 0.468590i | ||||
\(514\) | 9.31894 | − | 7.81952i | 0.411041 | − | 0.344904i | ||||
\(515\) | 4.91720 | + | 1.78971i | 0.216678 | + | 0.0788642i | ||||
\(516\) | −2.31109 | + | 0.841167i | −0.101740 | + | 0.0370303i | ||||
\(517\) | −0.00301922 | −0.000132785 | ||||||||
\(518\) | 28.8815 | − | 2.47683i | 1.26898 | − | 0.108826i | ||||
\(519\) | −5.23040 | −0.229589 | ||||||||
\(520\) | 2.72983 | − | 0.993578i | 0.119711 | − | 0.0435713i | ||||
\(521\) | −3.16796 | − | 1.15304i | −0.138791 | − | 0.0505158i | 0.271691 | − | 0.962385i | \(-0.412417\pi\) |
−0.410482 | + | 0.911869i | \(0.634639\pi\) | |||||||
\(522\) | −8.99718 | + | 7.54953i | −0.393796 | + | 0.330434i | ||||
\(523\) | −7.56959 | − | 42.9293i | −0.330995 | − | 1.87717i | −0.463672 | − | 0.886007i | \(-0.653468\pi\) |
0.132677 | − | 0.991159i | \(-0.457643\pi\) | |||||||
\(524\) | 5.34236 | 0.233382 | ||||||||
\(525\) | 0.410215 | + | 2.32644i | 0.0179032 | + | 0.101534i | ||||
\(526\) | 15.7952 | − | 27.3581i | 0.688703 | − | 1.19287i | ||||
\(527\) | 37.5973 | + | 31.5479i | 1.63776 | + | 1.37425i | ||||
\(528\) | −0.00885226 | − | 0.0153326i | −0.000385245 | − | 0.000667264i | ||||
\(529\) | −10.5475 | + | 18.2687i | −0.458585 | + | 0.794292i | ||||
\(530\) | −11.7431 | + | 4.27415i | −0.510089 | + | 0.185657i | ||||
\(531\) | 20.8474 | − | 17.4930i | 0.904699 | − | 0.759133i | ||||
\(532\) | −9.00242 | − | 15.5926i | −0.390304 | − | 0.676027i | ||||
\(533\) | −0.144664 | + | 0.820429i | −0.00626608 | + | 0.0355367i | ||||
\(534\) | 0.988300 | − | 5.60493i | 0.0427679 | − | 0.242549i | ||||
\(535\) | −3.48167 | − | 2.92147i | −0.150526 | − | 0.126306i | ||||
\(536\) | −0.470154 | − | 0.171122i | −0.0203076 | − | 0.00739135i | ||||
\(537\) | −2.26958 | − | 0.826059i | −0.0979395 | − | 0.0356471i | ||||
\(538\) | 6.62225 | + | 5.55672i | 0.285505 | + | 0.239567i | ||||
\(539\) | −0.0974325 | + | 0.552567i | −0.00419671 | + | 0.0238007i | ||||
\(540\) | −0.495326 | + | 2.80913i | −0.0213154 | + | 0.120886i | ||||
\(541\) | −14.4896 | − | 25.0968i | −0.622958 | − | 1.07899i | −0.988932 | − | 0.148369i | \(-0.952598\pi\) |
0.365974 | − | 0.930625i | \(-0.380736\pi\) | |||||||
\(542\) | 1.72916 | − | 1.45094i | 0.0742737 | − | 0.0623230i | ||||
\(543\) | 3.27857 | − | 1.19330i | 0.140697 | − | 0.0512094i | ||||
\(544\) | 3.14075 | − | 5.43993i | 0.134658 | − | 0.233235i | ||||
\(545\) | 6.17887 | + | 10.7021i | 0.264674 | + | 0.458428i | ||||
\(546\) | 5.25709 | + | 4.41122i | 0.224983 | + | 0.188783i | ||||
\(547\) | −2.56162 | + | 4.43686i | −0.109527 | + | 0.189706i | −0.915579 | − | 0.402139i | \(-0.868267\pi\) |
0.806052 | + | 0.591845i | \(0.201600\pi\) | |||||||
\(548\) | 1.29861 | + | 7.36477i | 0.0554738 | + | 0.314608i | ||||
\(549\) | −26.6729 | −1.13837 | ||||||||
\(550\) | 0.00620188 | + | 0.0351726i | 0.000264449 | + | 0.00149977i | ||||
\(551\) | 12.3418 | − | 10.3560i | 0.525780 | − | 0.441181i | ||||
\(552\) | 3.09322 | + | 1.12584i | 0.131656 | + | 0.0479189i | ||||
\(553\) | 18.7856 | − | 6.83738i | 0.798843 | − | 0.290755i | ||||
\(554\) | −9.39570 | −0.399185 | ||||||||
\(555\) | 2.46702 | + | 1.73375i | 0.104719 | + | 0.0735935i | ||||
\(556\) | 8.19440 | 0.347520 | ||||||||
\(557\) | 1.60035 | − | 0.582480i | 0.0678091 | − | 0.0246805i | −0.307893 | − | 0.951421i | \(-0.599624\pi\) |
0.375702 | + | 0.926741i | \(0.377402\pi\) | |||||||
\(558\) | −20.2224 | − | 7.36034i | −0.856081 | − | 0.311588i | ||||
\(559\) | 11.0409 | − | 9.26441i | 0.466980 | − | 0.391843i | ||||
\(560\) | 0.827523 | + | 4.69312i | 0.0349692 | + | 0.198320i | ||||
\(561\) | 0.111211 | 0.00469532 | ||||||||
\(562\) | 0.0250050 | + | 0.141810i | 0.00105477 | + | 0.00598190i | ||||
\(563\) | 18.6749 | − | 32.3460i | 0.787055 | − | 1.36322i | −0.140708 | − | 0.990051i | \(-0.544938\pi\) |
0.927764 | − | 0.373169i | \(-0.121729\pi\) | |||||||
\(564\) | −0.0321015 | − | 0.0269364i | −0.00135172 | − | 0.00113423i | ||||
\(565\) | 8.69317 | + | 15.0570i | 0.365724 | + | 0.633453i | ||||
\(566\) | −13.2173 | + | 22.8930i | −0.555564 | + | 0.962265i | ||||
\(567\) | 30.6697 | − | 11.1629i | 1.28801 | − | 0.468797i | ||||
\(568\) | 7.12233 | − | 5.97634i | 0.298846 | − | 0.250762i | ||||
\(569\) | 20.9872 | + | 36.3509i | 0.879830 | + | 1.52391i | 0.851527 | + | 0.524311i | \(0.175677\pi\) |
0.0283028 | + | 0.999599i | \(0.490990\pi\) | |||||||
\(570\) | 0.325222 | − | 1.84443i | 0.0136221 | − | 0.0772545i | ||||
\(571\) | 4.32658 | − | 24.5373i | 0.181062 | − | 1.02685i | −0.749850 | − | 0.661608i | \(-0.769874\pi\) |
0.930912 | − | 0.365245i | \(-0.119015\pi\) | |||||||
\(572\) | 0.0794799 | + | 0.0666916i | 0.00332322 | + | 0.00278852i | ||||
\(573\) | 5.62157 | + | 2.04608i | 0.234844 | + | 0.0854763i | ||||
\(574\) | −1.28421 | − | 0.467413i | −0.0536017 | − | 0.0195094i | ||||
\(575\) | −5.08684 | − | 4.26837i | −0.212136 | − | 0.178003i | ||||
\(576\) | −0.478274 | + | 2.71242i | −0.0199281 | + | 0.113018i | ||||
\(577\) | 2.51562 | − | 14.2668i | 0.104727 | − | 0.593934i | −0.886603 | − | 0.462532i | \(-0.846941\pi\) |
0.991329 | − | 0.131402i | \(-0.0419478\pi\) | |||||||
\(578\) | 11.2286 | + | 19.4485i | 0.467047 | + | 0.808950i | ||||
\(579\) | −6.99082 | + | 5.86599i | −0.290529 | + | 0.243782i | ||||
\(580\) | −4.00712 | + | 1.45847i | −0.166387 | + | 0.0605597i | ||||
\(581\) | −16.3565 | + | 28.3303i | −0.678581 | + | 1.17534i | ||||
\(582\) | 1.22418 | + | 2.12034i | 0.0507439 | + | 0.0878911i | ||||
\(583\) | −0.341905 | − | 0.286892i | −0.0141602 | − | 0.0118819i | ||||
\(584\) | −4.21766 | + | 7.30520i | −0.174528 | + | 0.302291i | ||||
\(585\) | −1.38940 | − | 7.87967i | −0.0574446 | − | 0.325784i | ||||
\(586\) | 13.0223 | 0.537948 | ||||||||
\(587\) | −3.71810 | − | 21.0864i | −0.153463 | − | 0.870329i | −0.960178 | − | 0.279389i | \(-0.909868\pi\) |
0.806715 | − | 0.590940i | \(-0.201243\pi\) | |||||||
\(588\) | −5.96575 | + | 5.00586i | −0.246023 | + | 0.206438i | ||||
\(589\) | 27.7399 | + | 10.0965i | 1.14300 | + | 0.416019i | ||||
\(590\) | 9.28489 | − | 3.37943i | 0.382253 | − | 0.139129i | ||||
\(591\) | −0.891236 | −0.0366605 | ||||||||
\(592\) | 4.97671 | + | 3.49748i | 0.204541 | + | 0.143746i | ||||
\(593\) | 23.1182 | 0.949350 | 0.474675 | − | 0.880161i | \(-0.342566\pi\) | ||||
0.474675 | + | 0.880161i | \(0.342566\pi\) | |||||||
\(594\) | −0.0957326 | + | 0.0348438i | −0.00392796 | + | 0.00142966i | ||||
\(595\) | −28.1293 | − | 10.2382i | −1.15319 | − | 0.419726i | ||||
\(596\) | 6.04944 | − | 5.07608i | 0.247795 | − | 0.207924i | ||||
\(597\) | 0.264522 | + | 1.50018i | 0.0108262 | + | 0.0613982i | ||||
\(598\) | −19.2905 | −0.788849 | ||||||||
\(599\) | −5.02215 | − | 28.4820i | −0.205199 | − | 1.16374i | −0.897126 | − | 0.441775i | \(-0.854349\pi\) |
0.691926 | − | 0.721968i | \(-0.256762\pi\) | |||||||
\(600\) | −0.247857 | + | 0.429301i | −0.0101187 | + | 0.0175261i | ||||
\(601\) | −5.01722 | − | 4.20994i | −0.204657 | − | 0.171727i | 0.534699 | − | 0.845043i | \(-0.320425\pi\) |
−0.739355 | + | 0.673316i | \(0.764870\pi\) | |||||||
\(602\) | 11.8217 | + | 20.4758i | 0.481816 | + | 0.834530i | ||||
\(603\) | −0.689018 | + | 1.19341i | −0.0280590 | + | 0.0485996i | ||||
\(604\) | −5.21434 | + | 1.89787i | −0.212169 | + | 0.0772230i | ||||
\(605\) | 8.42551 | − | 7.06984i | 0.342546 | − | 0.287430i | ||||
\(606\) | −3.22798 | − | 5.59102i | −0.131128 | − | 0.227120i | ||||
\(607\) | 8.41297 | − | 47.7123i | 0.341472 | − | 1.93658i | −0.00886689 | − | 0.999961i | \(-0.502822\pi\) |
0.350339 | − | 0.936623i | \(-0.386066\pi\) | |||||||
\(608\) | 0.656069 | − | 3.72075i | 0.0266071 | − | 0.150896i | ||||
\(609\) | −7.71687 | − | 6.47522i | −0.312703 | − | 0.262389i | ||||
\(610\) | −9.10016 | − | 3.31219i | −0.368455 | − | 0.134107i | ||||
\(611\) | 0.230769 | + | 0.0839930i | 0.00933591 | + | 0.00339799i | ||||
\(612\) | −13.2533 | − | 11.1208i | −0.535732 | − | 0.449532i | ||||
\(613\) | 6.68962 | − | 37.9387i | 0.270191 | − | 1.53233i | −0.483643 | − | 0.875266i | \(-0.660687\pi\) |
0.753834 | − | 0.657065i | \(-0.228202\pi\) | |||||||
\(614\) | −3.95758 | + | 22.4445i | −0.159715 | + | 0.905788i | ||||
\(615\) | −0.0710788 | − | 0.123112i | −0.00286617 | − | 0.00496436i | ||||
\(616\) | −0.130382 | + | 0.109403i | −0.00525323 | + | 0.00440799i | ||||
\(617\) | −26.2780 | + | 9.56442i | −1.05791 | + | 0.385049i | −0.811644 | − | 0.584152i | \(-0.801427\pi\) |
−0.246270 | + | 0.969201i | \(0.579205\pi\) | |||||||
\(618\) | −1.29698 | + | 2.24643i | −0.0521721 | + | 0.0903648i | ||||
\(619\) | 12.1022 | + | 20.9616i | 0.486427 | + | 0.842517i | 0.999878 | − | 0.0156020i | \(-0.00496646\pi\) |
−0.513451 | + | 0.858119i | \(0.671633\pi\) | |||||||
\(620\) | −5.98541 | − | 5.02235i | −0.240380 | − | 0.201703i | ||||
\(621\) | 9.47077 | − | 16.4038i | 0.380049 | − | 0.658264i | ||||
\(622\) | −4.63208 | − | 26.2698i | −0.185730 | − | 1.05332i | ||||
\(623\) | −54.7139 | −2.19207 | ||||||||
\(624\) | 0.250064 | + | 1.41818i | 0.0100106 | + | 0.0567728i | ||||
\(625\) | 0.766044 | − | 0.642788i | 0.0306418 | − | 0.0257115i | ||||
\(626\) | −16.1417 | − | 5.87510i | −0.645153 | − | 0.234816i | ||||
\(627\) | 0.0628563 | − | 0.0228778i | 0.00251024 | − | 0.000913653i | ||||
\(628\) | −22.1961 | −0.885723 | ||||||||
\(629\) | −34.6566 | + | 16.0883i | −1.38185 | + | 0.641481i | ||||
\(630\) | 13.1255 | 0.522933 | ||||||||
\(631\) | −25.1948 | + | 9.17015i | −1.00299 | + | 0.365058i | −0.790736 | − | 0.612157i | \(-0.790302\pi\) |
−0.212252 | + | 0.977215i | \(0.568080\pi\) | |||||||
\(632\) | 3.94198 | + | 1.43476i | 0.156803 | + | 0.0570718i | ||||
\(633\) | 4.90607 | − | 4.11668i | 0.194999 | − | 0.163623i | ||||
\(634\) | 3.63150 | + | 20.5952i | 0.144225 | + | 0.817941i | ||||
\(635\) | 19.5704 | 0.776628 | ||||||||
\(636\) | −1.07572 | − | 6.10070i | −0.0426550 | − | 0.241909i | ||||
\(637\) | 22.8192 | − | 39.5240i | 0.904130 | − | 1.56600i | ||||
\(638\) | −0.116668 | − | 0.0978965i | −0.00461895 | − | 0.00387576i | ||||
\(639\) | −12.8040 | − | 22.1771i | −0.506517 | − | 0.877313i | ||||
\(640\) | −0.500000 | + | 0.866025i | −0.0197642 | + | 0.0342327i | ||||
\(641\) | −23.1443 | + | 8.42383i | −0.914145 | + | 0.332721i | −0.755907 | − | 0.654680i | \(-0.772804\pi\) |
−0.158238 | + | 0.987401i | \(0.550581\pi\) | |||||||
\(642\) | 1.72591 | − | 1.44821i | 0.0681164 | − | 0.0571564i | ||||
\(643\) | 1.01230 | + | 1.75336i | 0.0399212 | + | 0.0691456i | 0.885296 | − | 0.465029i | \(-0.153956\pi\) |
−0.845374 | + | 0.534174i | \(0.820623\pi\) | |||||||
\(644\) | 5.49509 | − | 31.1642i | 0.216537 | − | 1.22804i | ||||
\(645\) | −0.427072 | + | 2.42204i | −0.0168159 | + | 0.0953679i | ||||
\(646\) | 18.1801 | + | 15.2549i | 0.715286 | + | 0.600196i | ||||
\(647\) | −1.81973 | − | 0.662326i | −0.0715408 | − | 0.0260387i | 0.306002 | − | 0.952031i | \(-0.401009\pi\) |
−0.377543 | + | 0.925992i | \(0.623231\pi\) | |||||||
\(648\) | 6.43576 | + | 2.34243i | 0.252821 | + | 0.0920192i | ||||
\(649\) | 0.270333 | + | 0.226836i | 0.0106115 | + | 0.00890409i | ||||
\(650\) | 0.504453 | − | 2.86089i | 0.0197863 | − | 0.112214i | ||||
\(651\) | 3.20517 | − | 18.1774i | 0.125620 | − | 0.712429i | ||||
\(652\) | −0.654392 | − | 1.13344i | −0.0256280 | − | 0.0443890i | ||||
\(653\) | −34.7672 | + | 29.1731i | −1.36054 | + | 1.14163i | −0.384731 | + | 0.923029i | \(0.625706\pi\) |
−0.975814 | + | 0.218604i | \(0.929850\pi\) | |||||||
\(654\) | −5.75646 | + | 2.09518i | −0.225095 | + | 0.0819280i | ||||
\(655\) | 2.67118 | − | 4.62662i | 0.104372 | − | 0.180777i | ||||
\(656\) | −0.143387 | − | 0.248353i | −0.00559831 | − | 0.00969656i | ||||
\(657\) | 17.7976 | + | 14.9340i | 0.694350 | + | 0.582629i | ||||
\(658\) | −0.201428 | + | 0.348884i | −0.00785250 | + | 0.0136009i | ||||
\(659\) | −1.44482 | − | 8.19396i | −0.0562820 | − | 0.319191i | 0.943649 | − | 0.330948i | \(-0.107369\pi\) |
−0.999931 | + | 0.0117571i | \(0.996258\pi\) | |||||||
\(660\) | −0.0177045 | −0.000689147 | ||||||||
\(661\) | 2.76227 | + | 15.6656i | 0.107440 | + | 0.609323i | 0.990218 | + | 0.139531i | \(0.0445596\pi\) |
−0.882778 | + | 0.469791i | \(0.844329\pi\) | |||||||
\(662\) | −26.7795 | + | 22.4707i | −1.04081 | + | 0.873347i | ||||
\(663\) | −8.50022 | − | 3.09383i | −0.330121 | − | 0.120154i | ||||
\(664\) | −6.45053 | + | 2.34780i | −0.250329 | + | 0.0911124i | ||||
\(665\) | −18.0048 | −0.698198 | ||||||||
\(666\) | 11.8669 | − | 11.8262i | 0.459832 | − | 0.458256i | ||||
\(667\) | 28.3166 | 1.09642 | ||||||||
\(668\) | −5.74310 | + | 2.09032i | −0.222207 | + | 0.0808769i | ||||
\(669\) | 10.9216 | + | 3.97515i | 0.422255 | + | 0.153688i | ||||
\(670\) | −0.383273 | + | 0.321605i | −0.0148071 | + | 0.0124247i | ||||
\(671\) | −0.0600602 | − | 0.340618i | −0.00231860 | − | 0.0131494i | ||||
\(672\) | −2.36233 | −0.0911289 | ||||||||
\(673\) | −3.83282 | − | 21.7370i | −0.147744 | − | 0.837900i | −0.965123 | − | 0.261799i | \(-0.915684\pi\) |
0.817378 | − | 0.576102i | \(-0.195427\pi\) | |||||||
\(674\) | −12.3498 | + | 21.3906i | −0.475698 | + | 0.823933i | ||||
\(675\) | 2.18512 | + | 1.83353i | 0.0841052 | + | 0.0705727i | ||||
\(676\) | 2.28041 | + | 3.94978i | 0.0877079 | + | 0.151915i | ||||
\(677\) | 10.2435 | − | 17.7423i | 0.393690 | − | 0.681890i | −0.599243 | − | 0.800567i | \(-0.704532\pi\) |
0.992933 | + | 0.118676i | \(0.0378651\pi\) | |||||||
\(678\) | −8.09887 | + | 2.94775i | −0.311035 | + | 0.113208i | ||||
\(679\) | 18.0305 | − | 15.1294i | 0.691949 | − | 0.580614i | ||||
\(680\) | −3.14075 | − | 5.43993i | −0.120442 | − | 0.208612i | ||||
\(681\) | −1.31309 | + | 7.44690i | −0.0503177 | + | 0.285366i | ||||
\(682\) | 0.0484577 | − | 0.274817i | 0.00185554 | − | 0.0105233i | ||||
\(683\) | 5.57819 | + | 4.68066i | 0.213444 | + | 0.179100i | 0.743241 | − | 0.669024i | \(-0.233288\pi\) |
−0.529797 | + | 0.848124i | \(0.677732\pi\) | |||||||
\(684\) | −9.77848 | − | 3.55907i | −0.373889 | − | 0.136085i | ||||
\(685\) | 7.02738 | + | 2.55776i | 0.268503 | + | 0.0977269i | ||||
\(686\) | 31.7972 | + | 26.6811i | 1.21402 | + | 1.01869i | ||||
\(687\) | 0.439149 | − | 2.49054i | 0.0167546 | − | 0.0950199i | ||||
\(688\) | −0.861529 | + | 4.88597i | −0.0328455 | + | 0.186276i | ||||
\(689\) | 18.1517 | + | 31.4397i | 0.691526 | + | 1.19776i | ||||
\(690\) | 2.52162 | − | 2.11589i | 0.0959963 | − | 0.0805505i | ||||
\(691\) | 6.42415 | − | 2.33820i | 0.244386 | − | 0.0889493i | −0.216923 | − | 0.976189i | \(-0.569602\pi\) |
0.461309 | + | 0.887239i | \(0.347380\pi\) | |||||||
\(692\) | −5.27562 | + | 9.13765i | −0.200549 | + | 0.347361i | ||||
\(693\) | 0.234390 | + | 0.405976i | 0.00890375 | + | 0.0154217i | ||||
\(694\) | 8.71371 | + | 7.31167i | 0.330768 | + | 0.277547i | ||||
\(695\) | 4.09720 | − | 7.09656i | 0.155416 | − | 0.269188i | ||||
\(696\) | −0.367069 | − | 2.08175i | −0.0139137 | − | 0.0789085i | ||||
\(697\) | 1.80137 | 0.0682316 | ||||||||
\(698\) | 1.67847 | + | 9.51910i | 0.0635312 | + | 0.360303i | ||||
\(699\) | 10.1717 | − | 8.53503i | 0.384727 | − | 0.322824i | ||||
\(700\) | 4.47812 | + | 1.62990i | 0.169257 | + | 0.0616045i | ||||
\(701\) | −20.2481 | + | 7.36970i | −0.764759 | + | 0.278350i | −0.694803 | − | 0.719200i | \(-0.744508\pi\) |
−0.0699565 | + | 0.997550i | \(0.522286\pi\) | |||||||
\(702\) | 8.28650 | 0.312754 | ||||||||
\(703\) | −16.2783 | + | 16.2225i | −0.613948 | + | 0.611843i | ||||
\(704\) | −0.0357152 | −0.00134607 | ||||||||
\(705\) | −0.0393784 | + | 0.0143325i | −0.00148307 | + | 0.000539795i | ||||
\(706\) | 0.976249 | + | 0.355326i | 0.0367416 | + | 0.0133729i | ||||
\(707\) | −47.5438 | + | 39.8940i | −1.78807 | + | 1.50037i | ||||
\(708\) | 0.850535 | + | 4.82362i | 0.0319651 | + | 0.181283i | ||||
\(709\) | 18.9008 | 0.709834 | 0.354917 | − | 0.934898i | \(-0.384509\pi\) | ||||
0.354917 | + | 0.934898i | \(0.384509\pi\) | |||||||
\(710\) | −1.61450 | − | 9.15629i | −0.0605911 | − | 0.343629i | ||||
\(711\) | 5.77703 | − | 10.0061i | 0.216655 | − | 0.375258i | ||||
\(712\) | −8.79512 | − | 7.37998i | −0.329611 | − | 0.276576i | ||||
\(713\) | 25.9420 | + | 44.9329i | 0.971537 | + | 1.68275i | ||||
\(714\) | 7.41949 | − | 12.8509i | 0.277667 | − | 0.480934i | ||||
\(715\) | 0.0974966 | − | 0.0354858i | 0.00364616 | − | 0.00132710i | ||||
\(716\) | −3.73235 | + | 3.13181i | −0.139485 | + | 0.117041i | ||||
\(717\) | 4.89222 | + | 8.47357i | 0.182703 | + | 0.316451i | ||||
\(718\) | −0.470721 | + | 2.66959i | −0.0175672 | + | 0.0996283i | ||||
\(719\) | −3.52293 | + | 19.9796i | −0.131383 | + | 0.745112i | 0.845927 | + | 0.533299i | \(0.179048\pi\) |
−0.977310 | + | 0.211813i | \(0.932063\pi\) | |||||||
\(720\) | 2.10989 | + | 1.77041i | 0.0786310 | + | 0.0659793i | ||||
\(721\) | 23.4330 | + | 8.52891i | 0.872690 | + | 0.317633i | ||||
\(722\) | −4.44060 | − | 1.61625i | −0.165262 | − | 0.0601504i | ||||
\(723\) | −7.11195 | − | 5.96764i | −0.264496 | − | 0.221939i | ||||
\(724\) | 1.22219 | − | 6.93136i | 0.0454222 | − | 0.257602i | ||||
\(725\) | −0.740486 | + | 4.19950i | −0.0275009 | + | 0.155966i | ||||
\(726\) | 2.72611 | + | 4.72176i | 0.101175 | + | 0.175241i | ||||
\(727\) | −24.1230 | + | 20.2416i | −0.894673 | + | 0.750720i | −0.969142 | − | 0.246504i | \(-0.920718\pi\) |
0.0744689 | + | 0.997223i | \(0.476274\pi\) | |||||||
\(728\) | 13.0091 | − | 4.73491i | 0.482148 | − | 0.175488i | ||||
\(729\) | 7.31070 | − | 12.6625i | 0.270767 | − | 0.468982i | ||||
\(730\) | 4.21766 | + | 7.30520i | 0.156102 | + | 0.270377i | ||||
\(731\) | −23.8735 | − | 20.0323i | −0.882994 | − | 0.740920i | ||||
\(732\) | 2.40029 | − | 4.15743i | 0.0887174 | − | 0.153663i | ||||
\(733\) | 3.19189 | + | 18.1021i | 0.117895 | + | 0.668618i | 0.985276 | + | 0.170972i | \(0.0546908\pi\) |
−0.867381 | + | 0.497645i | \(0.834198\pi\) | |||||||
\(734\) | 26.0109 | 0.960080 | ||||||||
\(735\) | 1.35233 | + | 7.66942i | 0.0498813 | + | 0.282891i | ||||
\(736\) | 5.08684 | − | 4.26837i | 0.187503 | − | 0.157334i | ||||
\(737\) | −0.0167917 | − | 0.00611166i | −0.000618529 | − | 0.000225126i | ||||
\(738\) | −0.742217 | + | 0.270145i | −0.0273214 | + | 0.00994417i | ||||
\(739\) | 22.0793 | 0.812200 | 0.406100 | − | 0.913829i | \(-0.366888\pi\) | ||||
0.406100 | + | 0.913829i | \(0.366888\pi\) | |||||||
\(740\) | 5.51726 | − | 2.56122i | 0.202819 | − | 0.0941521i | ||||
\(741\) | −5.44077 | −0.199872 | ||||||||
\(742\) | −55.9620 | + | 20.3685i | −2.05443 | + | 0.747752i | ||||
\(743\) | −4.07813 | − | 1.48432i | −0.149612 | − | 0.0544544i | 0.266129 | − | 0.963938i | \(-0.414255\pi\) |
−0.415741 | + | 0.909483i | \(0.636478\pi\) | |||||||
\(744\) | 2.96705 | − | 2.48965i | 0.108777 | − | 0.0912749i | ||||
\(745\) | −1.37130 | − | 7.77700i | −0.0502404 | − | 0.284927i | ||||
\(746\) | 26.3443 | 0.964533 | ||||||||
\(747\) | 3.28312 | + | 18.6195i | 0.120123 | + | 0.681251i | ||||
\(748\) | 0.112172 | − | 0.194288i | 0.00410143 | − | 0.00710389i | ||||
\(749\) | −16.5920 | − | 13.9223i | −0.606258 | − | 0.508711i | ||||
\(750\) | 0.247857 | + | 0.429301i | 0.00905045 | + | 0.0156758i | ||||
\(751\) | −6.99791 | + | 12.1207i | −0.255357 | + | 0.442292i | −0.964992 | − | 0.262277i | \(-0.915526\pi\) |
0.709635 | + | 0.704569i | \(0.248860\pi\) | |||||||
\(752\) | −0.0794377 | + | 0.0289130i | −0.00289680 | + | 0.00105435i | ||||
\(753\) | 4.02556 | − | 3.37785i | 0.146700 | − | 0.123096i | ||||
\(754\) | 6.19394 | + | 10.7282i | 0.225570 | + | 0.390698i | ||||
\(755\) | −0.963571 | + | 5.46469i | −0.0350680 | + | 0.198880i | ||||
\(756\) | −2.36048 | + | 13.3870i | −0.0858500 | + | 0.486879i | ||||
\(757\) | 18.0011 | + | 15.1047i | 0.654261 | + | 0.548990i | 0.908361 | − | 0.418188i | \(-0.137335\pi\) |
−0.254099 | + | 0.967178i | \(0.581779\pi\) | |||||||
\(758\) | −15.6873 | − | 5.70971i | −0.569789 | − | 0.207386i | ||||
\(759\) | 0.110475 | + | 0.0402096i | 0.00400999 | + | 0.00145952i | ||||
\(760\) | −2.89423 | − | 2.42855i | −0.104985 | − | 0.0880927i | ||||
\(761\) | 6.86355 | − | 38.9251i | 0.248804 | − | 1.41104i | −0.562687 | − | 0.826670i | \(-0.690232\pi\) |
0.811491 | − | 0.584365i | \(-0.198657\pi\) | |||||||
\(762\) | −1.68462 | + | 9.55394i | −0.0610272 | + | 0.346103i | ||||
\(763\) | 29.4455 | + | 51.0011i | 1.06600 | + | 1.84636i | ||||
\(764\) | 9.24474 | − | 7.75726i | 0.334463 | − | 0.280648i | ||||
\(765\) | −16.2575 | + | 5.91726i | −0.587793 | + | 0.213939i | ||||
\(766\) | −10.3893 | + | 17.9947i | −0.375379 | + | 0.650176i | ||||
\(767\) | −14.3520 | − | 24.8583i | −0.518220 | − | 0.897583i | ||||
\(768\) | −0.379739 | − | 0.318639i | −0.0137026 | − | 0.0114979i | ||||
\(769\) | −8.38223 | + | 14.5184i | −0.302271 | + | 0.523548i | −0.976650 | − | 0.214837i | \(-0.931078\pi\) |
0.674379 | + | 0.738385i | \(0.264411\pi\) | |||||||
\(770\) | 0.0295552 | + | 0.167616i | 0.00106509 | + | 0.00604045i | ||||
\(771\) | 6.03036 | 0.217178 | ||||||||
\(772\) | 3.19679 | + | 18.1299i | 0.115055 | + | 0.652508i | ||||
\(773\) | −28.5419 | + | 23.9495i | −1.02658 | + | 0.861405i | −0.990440 | − | 0.137942i | \(-0.955951\pi\) |
−0.0361422 | + | 0.999347i | \(0.511507\pi\) | |||||||
\(774\) | 12.8408 | + | 4.67367i | 0.461553 | + | 0.167991i | ||||
\(775\) | −7.34219 | + | 2.67234i | −0.263739 | + | 0.0959932i | ||||
\(776\) | 4.93907 | 0.177302 | ||||||||
\(777\) | 11.7566 | + | 8.26221i | 0.421767 | + | 0.296405i | ||||
\(778\) | −10.1179 | −0.362746 | ||||||||
\(779\) | 1.01813 | − | 0.370570i | 0.0364784 | − | 0.0132770i | ||||
\(780\) | 1.35322 | + | 0.492530i | 0.0484529 | + | 0.0176354i | ||||
\(781\) | 0.254375 | − | 0.213446i | 0.00910227 | − | 0.00763771i | ||||
\(782\) | 7.24315 | + | 41.0779i | 0.259014 | + | 1.46894i | ||||
\(783\) | −12.1637 | −0.434697 | ||||||||
\(784\) | 2.72804 | + | 15.4715i | 0.0974300 | + | 0.552553i | ||||
\(785\) | −11.0981 | + | 19.2224i | −0.396107 | + | 0.686078i | ||||
\(786\) | 2.02870 | + | 1.70228i | 0.0723614 | + | 0.0607184i | ||||
\(787\) | −25.0993 | − | 43.4732i | −0.894692 | − | 1.54965i | −0.834185 | − | 0.551485i | \(-0.814062\pi\) |
−0.0605071 | − | 0.998168i | \(-0.519272\pi\) | |||||||
\(788\) | −0.898942 | + | 1.55701i | −0.0320235 | + | 0.0554663i | ||||
\(789\) | 14.7154 | − | 5.35596i | 0.523881 | − | 0.190677i | ||||
\(790\) | 3.21353 | − | 2.69647i | 0.114332 | − | 0.0959361i | ||||
\(791\) | 41.4274 | + | 71.7544i | 1.47299 | + | 2.55129i | ||||
\(792\) | −0.0170816 | + | 0.0968748i | −0.000606970 | + | 0.00344230i | ||||
\(793\) | −4.88522 | + | 27.7055i | −0.173479 | + | 0.983849i | ||||
\(794\) | −15.7960 | − | 13.2545i | −0.560581 | − | 0.470383i | ||||
\(795\) | −5.82122 | − | 2.11875i | −0.206458 | − | 0.0751444i | ||||
\(796\) | 2.88766 | + | 1.05102i | 0.102350 | + | 0.0372525i | ||||
\(797\) | 23.2632 | + | 19.5201i | 0.824023 | + | 0.691438i | 0.953911 | − | 0.300091i | \(-0.0970171\pi\) |
−0.129887 | + | 0.991529i | \(0.541462\pi\) | |||||||
\(798\) | 1.54985 | − | 8.78965i | 0.0548642 | − | 0.311150i | ||||
\(799\) | 0.0922092 | − | 0.522944i | 0.00326213 | − | 0.0185004i | ||||
\(800\) | 0.500000 | + | 0.866025i | 0.0176777 | + | 0.0306186i | ||||
\(801\) | −24.2241 | + | 20.3264i | −0.855917 | + | 0.718200i | ||||
\(802\) | 23.7208 | − | 8.63367i | 0.837611 | − | 0.304865i | ||||
\(803\) | −0.150634 | + | 0.260907i | −0.00531578 | + | 0.00920719i | ||||
\(804\) | −0.124010 | − | 0.214791i | −0.00437348 | − | 0.00757510i | ||||
\(805\) | −24.2414 | − | 20.3410i | −0.854398 | − | 0.716925i | ||||
\(806\) | −11.3491 | + | 19.6572i | −0.399754 | + | 0.692394i | ||||
\(807\) | 0.744136 | + | 4.22021i | 0.0261948 | + | 0.148558i | ||||
\(808\) | −13.0236 | −0.458167 | ||||||||
\(809\) | −2.22273 | − | 12.6057i | −0.0781471 | − | 0.443194i | −0.998626 | − | 0.0524020i | \(-0.983312\pi\) |
0.920479 | − | 0.390792i | \(-0.127799\pi\) | |||||||
\(810\) | 5.24648 | − | 4.40232i | 0.184343 | − | 0.154682i | ||||
\(811\) | −7.45997 | − | 2.71521i | −0.261955 | − | 0.0953438i | 0.207704 | − | 0.978192i | \(-0.433401\pi\) |
−0.469659 | + | 0.882848i | \(0.655623\pi\) | |||||||
\(812\) | −19.0960 | + | 6.95037i | −0.670138 | + | 0.243910i | ||||
\(813\) | 1.11895 | 0.0392434 | ||||||||
\(814\) | 0.177744 | + | 0.124913i | 0.00622993 | + | 0.00437821i | ||||
\(815\) | −1.30878 | −0.0458447 | ||||||||
\(816\) | 2.92604 | − | 1.06499i | 0.102432 | − | 0.0372821i | ||||
\(817\) | −17.6143 | − | 6.41107i | −0.616245 | − | 0.224295i | ||||
\(818\) | 8.04209 | − | 6.74811i | 0.281185 | − | 0.235942i | ||||
\(819\) | −6.62120 | − | 37.5507i | −0.231363 | − | 1.31213i | ||||
\(820\) | −0.286773 | −0.0100146 | ||||||||
\(821\) | −2.77322 | − | 15.7277i | −0.0967859 | − | 0.548900i | −0.994185 | − | 0.107681i | \(-0.965657\pi\) |
0.897400 | − | 0.441219i | \(-0.145454\pi\) | |||||||
\(822\) | −1.85357 | + | 3.21048i | −0.0646506 | + | 0.111978i | ||||
\(823\) | −18.7932 | − | 15.7694i | −0.655090 | − | 0.549686i | 0.253521 | − | 0.967330i | \(-0.418411\pi\) |
−0.908611 | + | 0.417644i | \(0.862856\pi\) | |||||||
\(824\) | 2.61639 | + | 4.53172i | 0.0911462 | + | 0.157870i | ||||
\(825\) | −0.00885226 | + | 0.0153326i | −0.000308196 | + | 0.000533811i | ||||
\(826\) | 44.2473 | − | 16.1047i | 1.53956 | − | 0.560354i | ||||
\(827\) | 0.0634080 | − | 0.0532057i | 0.00220491 | − | 0.00185014i | −0.641684 | − | 0.766969i | \(-0.721764\pi\) |
0.643889 | + | 0.765119i | \(0.277320\pi\) | |||||||
\(828\) | −9.14472 | − | 15.8391i | −0.317801 | − | 0.550447i | ||||
\(829\) | 1.55065 | − | 8.79419i | 0.0538564 | − | 0.305435i | −0.945966 | − | 0.324265i | \(-0.894883\pi\) |
0.999823 | + | 0.0188301i | \(0.00599417\pi\) | |||||||
\(830\) | −1.19201 | + | 6.76023i | −0.0413753 | + | 0.234651i | ||||
\(831\) | −3.56791 | − | 2.99383i | −0.123769 | − | 0.103855i | ||||
\(832\) | 2.72983 | + | 0.993578i | 0.0946400 | + | 0.0344461i | ||||
\(833\) | −92.7319 | − | 33.7516i | −3.21297 | − | 1.16943i | ||||
\(834\) | 3.11173 | + | 2.61105i | 0.107750 | + | 0.0904133i | ||||
\(835\) | −1.06128 | + | 6.01883i | −0.0367272 | + | 0.208290i | ||||
\(836\) | 0.0234316 | − | 0.132887i | 0.000810400 | − | 0.00459601i | ||||
\(837\) | −11.1437 | − | 19.3015i | −0.385184 | − | 0.667158i | ||||
\(838\) | 18.0779 | − | 15.1691i | 0.624490 | − | 0.524009i | ||||
\(839\) | 16.1386 | − | 5.87396i | 0.557166 | − | 0.202792i | −0.0480617 | − | 0.998844i | \(-0.515304\pi\) |
0.605227 | + | 0.796053i | \(0.293082\pi\) | |||||||
\(840\) | −1.18117 | + | 2.04584i | −0.0407541 | + | 0.0705882i | ||||
\(841\) | 5.40793 | + | 9.36681i | 0.186480 | + | 0.322994i | ||||
\(842\) | 19.2268 | + | 16.1332i | 0.662599 | + | 0.555986i | ||||
\(843\) | −0.0356909 | + | 0.0618184i | −0.00122926 | + | 0.00212914i | ||||
\(844\) | −2.24346 | − | 12.7233i | −0.0772232 | − | 0.437954i | ||||
\(845\) | 4.56081 | 0.156897 | ||||||||
\(846\) | 0.0404313 | + | 0.229297i | 0.00139006 | + | 0.00788340i | ||||
\(847\) | 40.1519 | − | 33.6915i | 1.37964 | − | 1.15765i | ||||
\(848\) | −11.7431 | − | 4.27415i | −0.403260 | − | 0.146775i | ||||
\(849\) | −12.3137 | + | 4.48182i | −0.422605 | + | 0.153816i | ||||
\(850\) | −6.28149 | −0.215453 | ||||||||
\(851\) | −40.2443 | + | 3.45128i | −1.37956 | + | 0.118308i | ||||
\(852\) | 4.60892 | 0.157899 | ||||||||
\(853\) | 15.7256 | − | 5.72366i | 0.538435 | − | 0.195974i | −0.0584657 | − | 0.998289i | \(-0.518621\pi\) |
0.596901 | + | 0.802315i | \(0.296399\pi\) | |||||||
\(854\) | −43.3670 | − | 15.7843i | −1.48399 | − | 0.540127i | ||||
\(855\) | −7.97149 | + | 6.68887i | −0.272619 | + | 0.228755i | ||||
\(856\) | −0.789231 | − | 4.47595i | −0.0269754 | − | 0.152985i | ||||
\(857\) | 43.7498 | 1.49446 | 0.747232 | − | 0.664563i | \(-0.231382\pi\) | ||||
0.747232 | + | 0.664563i | \(0.231382\pi\) | |||||||
\(858\) | 0.00893109 | + | 0.0506507i | 0.000304902 | + | 0.00172919i | ||||
\(859\) | −7.87654 | + | 13.6426i | −0.268744 | + | 0.465478i | −0.968538 | − | 0.248867i | \(-0.919942\pi\) |
0.699794 | + | 0.714345i | \(0.253275\pi\) | |||||||
\(860\) | 3.80061 | + | 3.18909i | 0.129600 | + | 0.108747i | ||||
\(861\) | −0.338727 | − | 0.586692i | −0.0115438 | − | 0.0199944i | ||||
\(862\) | −8.20748 | + | 14.2158i | −0.279548 | + | 0.484191i | ||||
\(863\) | −38.9938 | + | 14.1926i | −1.32737 | + | 0.483122i | −0.905811 | − | 0.423681i | \(-0.860738\pi\) |
−0.421555 | + | 0.906803i | \(0.638515\pi\) | |||||||
\(864\) | −2.18512 | + | 1.83353i | −0.0743392 | + | 0.0623780i | ||||
\(865\) | 5.27562 | + | 9.13765i | 0.179377 | + | 0.310689i | ||||
\(866\) | 0.272410 | − | 1.54492i | 0.00925688 | − | 0.0524984i | ||||
\(867\) | −1.93311 | + | 10.9632i | −0.0656518 | + | 0.372330i | ||||
\(868\) | −28.5236 | − | 23.9341i | −0.968153 | − | 0.812377i | ||||
\(869\) | 0.140789 | + | 0.0512428i | 0.00477592 | + | 0.00173829i | ||||
\(870\) | −1.98638 | − | 0.722984i | −0.0673447 | − | 0.0245115i | ||||
\(871\) | 1.11342 | + | 0.934270i | 0.0377268 | + | 0.0316565i | ||||
\(872\) | −2.14590 | + | 12.1700i | −0.0726693 | + | 0.412128i | ||||
\(873\) | 2.36223 | − | 13.3968i | 0.0799492 | − | 0.453415i | ||||
\(874\) | 12.5442 | + | 21.7272i | 0.424314 | + | 0.734934i | ||||
\(875\) | 3.65060 | − | 3.06322i | 0.123413 | − | 0.103556i | ||||
\(876\) | −3.92932 | + | 1.43016i | −0.132760 | + | 0.0483205i | ||||
\(877\) | −8.96793 | + | 15.5329i | −0.302826 | + | 0.524509i | −0.976775 | − | 0.214268i | \(-0.931263\pi\) |
0.673949 | + | 0.738778i | \(0.264597\pi\) | |||||||
\(878\) | −10.4796 | − | 18.1512i | −0.353670 | − | 0.612574i | ||||
\(879\) | 4.94508 | + | 4.14942i | 0.166794 | + | 0.139956i | ||||
\(880\) | −0.0178576 | + | 0.0309303i | −0.000601980 | + | 0.00104266i | ||||
\(881\) | −2.08200 | − | 11.8076i | −0.0701444 | − | 0.397809i | −0.999584 | − | 0.0288348i | \(-0.990820\pi\) |
0.929440 | − | 0.368974i | \(-0.120291\pi\) | |||||||
\(882\) | 43.2700 | 1.45698 | ||||||||
\(883\) | 5.22705 | + | 29.6441i | 0.175904 | + | 0.997602i | 0.937095 | + | 0.349074i | \(0.113504\pi\) |
−0.761191 | + | 0.648528i | \(0.775385\pi\) | |||||||
\(884\) | −13.9787 | + | 11.7295i | −0.470155 | + | 0.394507i | ||||
\(885\) | 4.60265 | + | 1.67523i | 0.154716 | + | 0.0563121i | ||||
\(886\) | −33.7786 | + | 12.2944i | −1.13482 | + | 0.413039i | ||||
\(887\) | −5.27048 | −0.176965 | −0.0884827 | − | 0.996078i | \(-0.528202\pi\) | ||||
−0.0884827 | + | 0.996078i | \(0.528202\pi\) | |||||||
\(888\) | 0.775416 | + | 2.91390i | 0.0260213 | + | 0.0977841i | ||||
\(889\) | 93.2632 | 3.12795 | ||||||||
\(890\) | −10.7888 | + | 3.92681i | −0.361642 | + | 0.131627i | ||||
\(891\) | 0.229855 | + | 0.0836602i | 0.00770042 | + | 0.00280272i | ||||
\(892\) | 17.9608 | − | 15.0709i | 0.601371 | − | 0.504610i | ||||
\(893\) | −0.0554613 | − | 0.314537i | −0.00185594 | − | 0.0105256i | ||||
\(894\) | 3.91464 | 0.130925 | ||||||||
\(895\) | 0.846055 | + | 4.79822i | 0.0282805 | + | 0.160387i | ||||
\(896\) | −2.38276 | + | 4.12706i | −0.0796024 | + | 0.137875i | ||||
\(897\) | −7.32537 | − | 6.14671i | −0.244587 | − | 0.205233i | ||||
\(898\) | 8.62828 | + | 14.9446i | 0.287930 | + | 0.498709i | ||||
\(899\) | 16.6593 | − | 28.8547i | 0.555618 | − | 0.962358i | ||||
\(900\) | 2.58817 | − | 0.942015i | 0.0862722 | − | 0.0314005i | ||||
\(901\) | 60.1332 | − | 50.4578i | 2.00333 | − | 1.68099i | ||||
\(902\) | −0.00512109 | − | 0.00886998i | −0.000170514 | − | 0.000295338i | ||||
\(903\) | −2.03522 | + | 11.5423i | −0.0677278 | + | 0.384103i | ||||
\(904\) | −3.01910 | + | 17.1222i | −0.100414 | + | 0.569476i | ||||
\(905\) | −5.39164 | − | 4.52413i | −0.179224 | − | 0.150387i | ||||
\(906\) | −2.58482 | − | 0.940798i | −0.0858749 | − | 0.0312559i | ||||
\(907\) | 36.9213 | + | 13.4383i | 1.22595 | + | 0.446210i | 0.872209 | − | 0.489133i | \(-0.162687\pi\) |
0.353742 | + | 0.935343i | \(0.384909\pi\) | |||||||
\(908\) | 11.6855 | + | 9.80530i | 0.387797 | + | 0.325400i | ||||
\(909\) | −6.22883 | + | 35.3254i | −0.206597 | + | 1.17167i | ||||
\(910\) | 2.40398 | − | 13.6336i | 0.0796911 | − | 0.451951i | ||||
\(911\) | 10.9663 | + | 18.9942i | 0.363330 | + | 0.629307i | 0.988507 | − | 0.151177i | \(-0.0483063\pi\) |
−0.625176 | + | 0.780484i | \(0.714973\pi\) | |||||||
\(912\) | 1.43471 | − | 1.20386i | 0.0475080 | − | 0.0398639i | ||||
\(913\) | −0.230382 | + | 0.0838523i | −0.00762454 | + | 0.00277510i | ||||
\(914\) | 5.10042 | − | 8.83419i | 0.168707 | − | 0.292209i | ||||
\(915\) | −2.40029 | − | 4.15743i | −0.0793512 | − | 0.137440i | ||||
\(916\) | −3.90809 | − | 3.27928i | −0.129127 | − | 0.108350i | ||||
\(917\) | 12.7296 | − | 22.0482i | 0.420367 | − | 0.728097i | ||||
\(918\) | −3.11139 | − | 17.6456i | −0.102691 | − | 0.582390i | ||||
\(919\) | 34.5020 | 1.13812 | 0.569058 | − | 0.822298i | \(-0.307308\pi\) | ||||
0.569058 | + | 0.822298i | \(0.307308\pi\) | |||||||
\(920\) | −1.15309 | − | 6.53952i | −0.0380164 | − | 0.215601i | ||||
\(921\) | −8.65454 | + | 7.26202i | −0.285177 | + | 0.239292i | ||||
\(922\) | −30.2195 | − | 10.9990i | −0.995226 | − | 0.362233i | ||||
\(923\) | −25.3807 | + | 9.23783i | −0.835417 | + | 0.304067i | ||||
\(924\) | −0.0843712 | −0.00277561 | ||||||||
\(925\) | 0.540554 | − | 6.05870i | 0.0177733 | − | 0.199209i | ||||
\(926\) | 23.0087 | 0.756113 | ||||||||
\(927\) | 13.5433 | − | 4.92935i | 0.444820 | − | 0.161901i | ||||
\(928\) | −4.00712 | − | 1.45847i | −0.131540 | − | 0.0478767i | ||||
\(929\) | −31.6848 | + | 26.5867i | −1.03955 | + | 0.872282i | −0.991956 | − | 0.126585i | \(-0.959598\pi\) |
−0.0475893 | + | 0.998867i | \(0.515154\pi\) | |||||||
\(930\) | −0.672575 | − | 3.81436i | −0.0220546 | − | 0.125078i | ||||
\(931\) | −59.3553 | −1.94529 | ||||||||
\(932\) | −4.65133 | − | 26.3790i | −0.152359 | − | 0.864072i | ||||
\(933\) | 6.61160 | − | 11.4516i | 0.216454 | − | 0.374910i | ||||
\(934\) | 4.07210 | + | 3.41690i | 0.133243 | + | 0.111804i | ||||
\(935\) | −0.112172 | − | 0.194288i | −0.00366843 | − | 0.00635391i | ||||
\(936\) | 4.00061 | − | 6.92927i | 0.130764 | − | 0.226490i | ||||
\(937\) | −4.58543 | + | 1.66896i | −0.149799 | + | 0.0545225i | −0.415832 | − | 0.909442i | \(-0.636509\pi\) |
0.266032 | + | 0.963964i | \(0.414287\pi\) | |||||||
\(938\) | −1.82650 | + | 1.53261i | −0.0596372 | + | 0.0500415i | ||||
\(939\) | −4.25760 | − | 7.37438i | −0.138941 | − | 0.240654i | ||||
\(940\) | −0.0146795 | + | 0.0832516i | −0.000478792 | + | 0.00271537i | ||||
\(941\) | −0.115739 | + | 0.656389i | −0.00377299 | + | 0.0213977i | −0.986636 | − | 0.162939i | \(-0.947903\pi\) |
0.982863 | + | 0.184337i | \(0.0590137\pi\) | |||||||
\(942\) | −8.42874 | − | 7.07255i | −0.274623 | − | 0.230436i | ||||
\(943\) | 1.78945 | + | 0.651306i | 0.0582724 | + | 0.0212094i | ||||
\(944\) | 9.28489 | + | 3.37943i | 0.302198 | + | 0.109991i | ||||
\(945\) | 10.4132 | + | 8.73773i | 0.338742 | + | 0.284238i | ||||
\(946\) | −0.0307697 | + | 0.174504i | −0.00100041 | + | 0.00567360i | ||||
\(947\) | −7.32205 | + | 41.5254i | −0.237935 | + | 1.34939i | 0.598410 | + | 0.801190i | \(0.295800\pi\) |
−0.836344 | + | 0.548205i | \(0.815312\pi\) | |||||||
\(948\) | 1.03975 | + | 1.80090i | 0.0337695 | + | 0.0584905i | ||||
\(949\) | 18.7718 | − | 15.7514i | 0.609358 | − | 0.511312i | ||||
\(950\) | −3.55030 | + | 1.29220i | −0.115187 | + | 0.0419246i | ||||
\(951\) | −5.18342 | + | 8.97794i | −0.168084 | + | 0.291130i | ||||
\(952\) | −14.9673 | − | 25.9241i | −0.485092 | − | 0.840205i | ||||
\(953\) | −12.6506 | − | 10.6151i | −0.409794 | − | 0.343858i | 0.414471 | − | 0.910063i | \(-0.363967\pi\) |
−0.824265 | + | 0.566205i | \(0.808411\pi\) | |||||||
\(954\) | −17.2097 | + | 29.8081i | −0.557185 | + | 0.965073i | ||||
\(955\) | −2.09561 | − | 11.8848i | −0.0678124 | − | 0.384583i | ||||
\(956\) | 19.7381 | 0.638375 | ||||||||
\(957\) | −0.0131099 | − | 0.0743501i | −0.000423784 | − | 0.00240340i | ||||
\(958\) | −3.23820 | + | 2.71717i | −0.104621 | + | 0.0877878i | ||||
\(959\) | 33.4891 | + | 12.1890i | 1.08142 | + | 0.393605i | ||||
\(960\) | −0.465818 | + | 0.169544i | −0.0150342 | + | 0.00547201i | ||||
\(961\) | 30.0491 | 0.969327 | ||||||||
\(962\) | −10.1106 | − | 14.4923i | −0.325978 | − | 0.467250i | ||||
\(963\) | −12.5182 | −0.403392 | ||||||||
\(964\) | −17.5991 | + | 6.40554i | −0.566828 | + | 0.206309i | ||||
\(965\) | 17.2993 | + | 6.29644i | 0.556885 | + | 0.202690i | ||||
\(966\) | 12.0168 | − | 10.0833i | 0.386634 | − | 0.324425i | ||||
\(967\) | −1.05533 | − | 5.98509i | −0.0339372 | − | 0.192467i | 0.963126 | − | 0.269051i | \(-0.0867100\pi\) |
−0.997063 | + | 0.0765834i | \(0.975599\pi\) | |||||||
\(968\) | 10.9987 | 0.353512 | ||||||||
\(969\) | 2.04288 | + | 11.5858i | 0.0656268 | + | 0.372188i | ||||
\(970\) | 2.46953 | − | 4.27736i | 0.0792919 | − | 0.137338i | ||||
\(971\) | 13.8627 | + | 11.6322i | 0.444876 | + | 0.373295i | 0.837530 | − | 0.546391i | \(-0.183999\pi\) |
−0.392654 | + | 0.919686i | \(0.628443\pi\) | |||||||
\(972\) | 5.97622 | + | 10.3511i | 0.191687 | + | 0.332012i | ||||
\(973\) | 19.5253 | − | 33.8188i | 0.625951 | − | 1.08418i | ||||
\(974\) | −10.6513 | + | 3.87676i | −0.341290 | + | 0.124219i | ||||
\(975\) | 1.10315 | − | 0.925654i | 0.0353291 | − | 0.0296447i | ||||
\(976\) | −4.84210 | − | 8.38676i | −0.154992 | − | 0.268454i | ||||
\(977\) | −1.61248 | + | 9.14482i | −0.0515878 | + | 0.292569i | −0.999676 | − | 0.0254374i | \(-0.991902\pi\) |
0.948089 | + | 0.318006i | \(0.103013\pi\) | |||||||
\(978\) | 0.112660 | − | 0.638926i | 0.00360247 | − | 0.0204306i | ||||
\(979\) | −0.314119 | − | 0.263578i | −0.0100393 | − | 0.00842397i | ||||
\(980\) | 14.7627 | + | 5.37319i | 0.471578 | + | 0.171640i | ||||
\(981\) | 31.9839 | + | 11.6412i | 1.02117 | + | 0.371674i | ||||
\(982\) | −10.8828 | − | 9.13178i | −0.347285 | − | 0.291407i | ||||
\(983\) | 5.13729 | − | 29.1350i | 0.163854 | − | 0.929263i | −0.786384 | − | 0.617738i | \(-0.788049\pi\) |
0.950238 | − | 0.311525i | \(-0.100840\pi\) | |||||||
\(984\) | 0.0246854 | − | 0.139998i | 0.000786942 | − | 0.00446297i | ||||
\(985\) | 0.898942 | + | 1.55701i | 0.0286427 | + | 0.0496106i | ||||
\(986\) | 20.5193 | − | 17.2178i | 0.653469 | − | 0.548325i | ||||
\(987\) | −0.187658 | + | 0.0683020i | −0.00597323 | + | 0.00217408i | ||||
\(988\) | −5.48782 | + | 9.50518i | −0.174591 | + | 0.302400i | ||||
\(989\) | −16.4727 | − | 28.5315i | −0.523800 | − | 0.907249i | ||||
\(990\) | 0.0753552 | + | 0.0632305i | 0.00239495 | + | 0.00200960i | ||||
\(991\) | 18.8755 | − | 32.6933i | 0.599599 | − | 1.03854i | −0.393281 | − | 0.919418i | \(-0.628660\pi\) |
0.992880 | − | 0.119117i | \(-0.0380065\pi\) | |||||||
\(992\) | −1.35678 | − | 7.69469i | −0.0430779 | − | 0.244307i | ||||
\(993\) | −17.3292 | −0.549926 | ||||||||
\(994\) | −7.69393 | − | 43.6344i | −0.244037 | − | 1.38400i | ||||
\(995\) | 2.35404 | − | 1.97528i | 0.0746282 | − | 0.0626205i | ||||
\(996\) | −3.19762 | − | 1.16384i | −0.101320 | − | 0.0368776i | ||||
\(997\) | 18.3302 | − | 6.67165i | 0.580524 | − | 0.211293i | −0.0350328 | − | 0.999386i | \(-0.511154\pi\) |
0.615556 | + | 0.788093i | \(0.288931\pi\) | |||||||
\(998\) | −37.3897 | −1.18355 | ||||||||
\(999\) | 17.2874 | − | 1.48254i | 0.546950 | − | 0.0469056i |
(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 | 370.2.o.b.81.2 | ✓ | 18 | |
37.16 | even | 9 | inner | 370.2.o.b.201.2 | yes | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.o.b.81.2 | ✓ | 18 | 1.1 | even | 1 | trivial | |
370.2.o.b.201.2 | yes | 18 | 37.16 | even | 9 | inner |