Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,2,Mod(11,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.s (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.53312771881\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 107.3 | ||
Character | \(\chi\) | \(=\) | 192.107 |
Dual form | 192.2.s.a.131.3 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{13}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.35281 | + | 0.412192i | −0.956582 | + | 0.291464i | ||||
\(3\) | 1.36978 | − | 1.06005i | 0.790840 | − | 0.612023i | ||||
\(4\) | 1.66020 | − | 1.11524i | 0.830098 | − | 0.557618i | ||||
\(5\) | 1.35023 | + | 2.02077i | 0.603843 | + | 0.903714i | 0.999895 | − | 0.0145138i | \(-0.00462004\pi\) |
−0.396052 | + | 0.918228i | \(0.629620\pi\) | |||||||
\(6\) | −1.41610 | + | 1.99866i | −0.578121 | + | 0.815951i | ||||
\(7\) | −1.74608 | + | 4.21542i | −0.659958 | + | 1.59328i | 0.137909 | + | 0.990445i | \(0.455962\pi\) |
−0.797866 | + | 0.602834i | \(0.794038\pi\) | |||||||
\(8\) | −1.78624 | + | 2.19302i | −0.631531 | + | 0.775350i | ||||
\(9\) | 0.752568 | − | 2.90407i | 0.250856 | − | 0.968024i | ||||
\(10\) | −2.65955 | − | 2.17716i | −0.841025 | − | 0.688479i | ||||
\(11\) | 4.91888 | + | 0.978426i | 1.48310 | + | 0.295007i | 0.869233 | − | 0.494404i | \(-0.164613\pi\) |
0.613866 | + | 0.789410i | \(0.289613\pi\) | |||||||
\(12\) | 1.09189 | − | 3.28752i | 0.315200 | − | 0.949025i | ||||
\(13\) | −2.86206 | − | 1.91237i | −0.793792 | − | 0.530395i | 0.0912932 | − | 0.995824i | \(-0.470900\pi\) |
−0.885085 | + | 0.465429i | \(0.845900\pi\) | |||||||
\(14\) | 0.624561 | − | 6.42239i | 0.166921 | − | 1.71646i | ||||
\(15\) | 3.99164 | + | 1.33668i | 1.03064 | + | 0.345128i | ||||
\(16\) | 1.51250 | − | 3.70302i | 0.378125 | − | 0.925754i | ||||
\(17\) | −1.70638 | − | 1.70638i | −0.413859 | − | 0.413859i | 0.469221 | − | 0.883081i | \(-0.344535\pi\) |
−0.883081 | + | 0.469221i | \(0.844535\pi\) | |||||||
\(18\) | 0.178952 | + | 4.23886i | 0.0421794 | + | 0.999110i | ||||
\(19\) | 2.92775 | + | 1.95626i | 0.671672 | + | 0.448797i | 0.844072 | − | 0.536230i | \(-0.180152\pi\) |
−0.172400 | + | 0.985027i | \(0.555152\pi\) | |||||||
\(20\) | 4.49528 | + | 1.84904i | 1.00518 | + | 0.413458i | ||||
\(21\) | 2.07683 | + | 7.62512i | 0.453202 | + | 1.66394i | ||||
\(22\) | −7.05762 | + | 0.703896i | −1.50469 | + | 0.150071i | ||||
\(23\) | −0.396316 | − | 0.956791i | −0.0826376 | − | 0.199505i | 0.877160 | − | 0.480199i | \(-0.159435\pi\) |
−0.959797 | + | 0.280694i | \(0.909435\pi\) | |||||||
\(24\) | −0.122026 | + | 4.89746i | −0.0249084 | + | 0.999690i | ||||
\(25\) | −0.346951 | + | 0.837614i | −0.0693902 | + | 0.167523i | ||||
\(26\) | 4.66008 | + | 1.40735i | 0.913918 | + | 0.276005i | ||||
\(27\) | −2.04763 | − | 4.77569i | −0.394066 | − | 0.919082i | ||||
\(28\) | 1.80234 | + | 8.94572i | 0.340611 | + | 1.69058i | ||||
\(29\) | −0.283033 | − | 1.42290i | −0.0525579 | − | 0.264226i | 0.945568 | − | 0.325426i | \(-0.105508\pi\) |
−0.998126 | + | 0.0611991i | \(0.980508\pi\) | |||||||
\(30\) | −5.95090 | − | 0.162949i | −1.08648 | − | 0.0297502i | ||||
\(31\) | 1.28385 | 0.230586 | 0.115293 | − | 0.993332i | \(-0.463219\pi\) | ||||
0.115293 | + | 0.993332i | \(0.463219\pi\) | |||||||
\(32\) | −0.519775 | + | 5.63292i | −0.0918841 | + | 0.995770i | ||||
\(33\) | 7.77495 | − | 3.87406i | 1.35344 | − | 0.674387i | ||||
\(34\) | 3.01177 | + | 1.60506i | 0.516515 | + | 0.275265i | ||||
\(35\) | −10.8760 | + | 2.16337i | −1.83838 | + | 0.365676i | ||||
\(36\) | −1.98931 | − | 5.66062i | −0.331552 | − | 0.943437i | ||||
\(37\) | −4.96454 | − | 7.42995i | −0.816165 | − | 1.22148i | −0.972299 | − | 0.233741i | \(-0.924903\pi\) |
0.156134 | − | 0.987736i | \(-0.450097\pi\) | |||||||
\(38\) | −4.76705 | − | 1.43966i | −0.773317 | − | 0.233543i | ||||
\(39\) | −5.94759 | + | 0.414426i | −0.952376 | + | 0.0663613i | ||||
\(40\) | −6.84343 | − | 0.648485i | −1.08204 | − | 0.102535i | ||||
\(41\) | −0.448865 | + | 0.185926i | −0.0701010 | + | 0.0290368i | −0.417458 | − | 0.908696i | \(-0.637079\pi\) |
0.347357 | + | 0.937733i | \(0.387079\pi\) | |||||||
\(42\) | −5.95258 | − | 9.45930i | −0.918502 | − | 1.45960i | ||||
\(43\) | 2.10425 | + | 0.418561i | 0.320895 | + | 0.0638300i | 0.352910 | − | 0.935657i | \(-0.385192\pi\) |
−0.0320147 | + | 0.999487i | \(0.510192\pi\) | |||||||
\(44\) | 9.25748 | − | 3.86133i | 1.39562 | − | 0.582117i | ||||
\(45\) | 6.88460 | − | 2.40041i | 1.02630 | − | 0.357832i | ||||
\(46\) | 0.930522 | + | 1.13100i | 0.137198 | + | 0.166757i | ||||
\(47\) | 3.15360 | − | 3.15360i | 0.460001 | − | 0.460001i | −0.438655 | − | 0.898656i | \(-0.644545\pi\) |
0.898656 | + | 0.438655i | \(0.144545\pi\) | |||||||
\(48\) | −1.85361 | − | 6.67564i | −0.267546 | − | 0.963545i | ||||
\(49\) | −9.77121 | − | 9.77121i | −1.39589 | − | 1.39589i | ||||
\(50\) | 0.124102 | − | 1.27614i | 0.0175506 | − | 0.180474i | ||||
\(51\) | −4.14623 | − | 0.528503i | −0.580588 | − | 0.0740052i | ||||
\(52\) | −6.88431 | + | 0.0169654i | −0.954682 | + | 0.00235268i | ||||
\(53\) | 0.610237 | − | 3.06787i | 0.0838225 | − | 0.421404i | −0.915974 | − | 0.401237i | \(-0.868580\pi\) |
0.999797 | − | 0.0201668i | \(-0.00641973\pi\) | |||||||
\(54\) | 4.73855 | + | 5.61659i | 0.644835 | + | 0.764322i | ||||
\(55\) | 4.66447 | + | 11.2610i | 0.628956 | + | 1.51843i | ||||
\(56\) | −6.12558 | − | 11.3590i | −0.818565 | − | 1.51790i | ||||
\(57\) | 6.08410 | − | 0.423939i | 0.805859 | − | 0.0561520i | ||||
\(58\) | 0.969399 | + | 1.80826i | 0.127288 | + | 0.237436i | ||||
\(59\) | −12.0269 | + | 8.03610i | −1.56577 | + | 1.04621i | −0.595750 | + | 0.803170i | \(0.703145\pi\) |
−0.970016 | + | 0.243041i | \(0.921855\pi\) | |||||||
\(60\) | 8.11761 | − | 2.23247i | 1.04798 | − | 0.288211i | ||||
\(61\) | 1.00667 | + | 5.06086i | 0.128890 | + | 0.647976i | 0.990173 | + | 0.139849i | \(0.0446619\pi\) |
−0.861282 | + | 0.508127i | \(0.830338\pi\) | |||||||
\(62\) | −1.73680 | + | 0.529192i | −0.220574 | + | 0.0672074i | ||||
\(63\) | 10.9278 | + | 8.24315i | 1.37678 | + | 1.03854i | ||||
\(64\) | −1.61869 | − | 7.83453i | −0.202336 | − | 0.979316i | ||||
\(65\) | − | 8.36569i | − | 1.03764i | ||||||
\(66\) | −8.92118 | + | 8.44564i | −1.09812 | + | 1.03959i | ||||
\(67\) | −14.2933 | + | 2.84310i | −1.74620 | + | 0.347340i | −0.961975 | − | 0.273138i | \(-0.911938\pi\) |
−0.784224 | + | 0.620478i | \(0.786938\pi\) | |||||||
\(68\) | −4.73595 | − | 0.929913i | −0.574319 | − | 0.112769i | ||||
\(69\) | −1.55711 | − | 0.890472i | −0.187455 | − | 0.107200i | ||||
\(70\) | 13.8215 | − | 7.40963i | 1.65198 | − | 0.885620i | ||||
\(71\) | −4.14017 | − | 1.71492i | −0.491348 | − | 0.203523i | 0.123231 | − | 0.992378i | \(-0.460674\pi\) |
−0.614579 | + | 0.788855i | \(0.710674\pi\) | |||||||
\(72\) | 5.02443 | + | 6.83777i | 0.592134 | + | 0.805839i | ||||
\(73\) | 3.01531 | − | 1.24898i | 0.352915 | − | 0.146182i | −0.199181 | − | 0.979963i | \(-0.563828\pi\) |
0.552096 | + | 0.833781i | \(0.313828\pi\) | |||||||
\(74\) | 9.77865 | + | 8.00498i | 1.13674 | + | 0.930560i | ||||
\(75\) | 0.412672 | + | 1.51513i | 0.0476512 | + | 0.174952i | ||||
\(76\) | 7.04233 | − | 0.0173548i | 0.807811 | − | 0.00199074i | ||||
\(77\) | −12.7133 | + | 19.0267i | −1.44881 | + | 2.16830i | ||||
\(78\) | 7.87514 | − | 3.01219i | 0.891684 | − | 0.341063i | ||||
\(79\) | 8.12715 | − | 8.12715i | 0.914375 | − | 0.914375i | −0.0822374 | − | 0.996613i | \(-0.526207\pi\) |
0.996613 | + | 0.0822374i | \(0.0262066\pi\) | |||||||
\(80\) | 9.52516 | − | 1.94353i | 1.06495 | − | 0.217293i | ||||
\(81\) | −7.86728 | − | 4.37103i | −0.874142 | − | 0.485670i | ||||
\(82\) | 0.530593 | − | 0.436542i | 0.0585942 | − | 0.0482080i | ||||
\(83\) | 1.43547 | − | 2.14834i | 0.157564 | − | 0.235810i | −0.744286 | − | 0.667861i | \(-0.767210\pi\) |
0.901849 | + | 0.432051i | \(0.142210\pi\) | |||||||
\(84\) | 11.9518 | + | 10.3430i | 1.30404 | + | 1.12852i | ||||
\(85\) | 1.14419 | − | 5.75222i | 0.124105 | − | 0.623916i | ||||
\(86\) | −3.01918 | + | 0.301120i | −0.325566 | + | 0.0324706i | ||||
\(87\) | −1.89605 | − | 1.64903i | −0.203278 | − | 0.176794i | ||||
\(88\) | −10.9320 | + | 9.03951i | −1.16536 | + | 0.963615i | ||||
\(89\) | 3.57762 | + | 1.48190i | 0.379226 | + | 0.157081i | 0.564150 | − | 0.825672i | \(-0.309204\pi\) |
−0.184924 | + | 0.982753i | \(0.559204\pi\) | |||||||
\(90\) | −8.32413 | + | 6.08508i | −0.877440 | + | 0.641423i | ||||
\(91\) | 13.0588 | − | 8.72562i | 1.36894 | − | 0.914694i | ||||
\(92\) | −1.72501 | − | 1.14648i | −0.179845 | − | 0.119528i | ||||
\(93\) | 1.75858 | − | 1.36095i | 0.182357 | − | 0.141124i | ||||
\(94\) | −2.96634 | + | 5.56612i | −0.305955 | + | 0.574102i | ||||
\(95\) | 8.55771i | 0.878002i | ||||||||
\(96\) | 5.25923 | + | 8.26683i | 0.536768 | + | 0.843730i | ||||
\(97\) | 6.01319i | 0.610547i | 0.952265 | + | 0.305273i | \(0.0987478\pi\) | ||||
−0.952265 | + | 0.305273i | \(0.901252\pi\) | |||||||
\(98\) | 17.2462 | + | 9.19099i | 1.74213 | + | 0.928430i | ||||
\(99\) | 6.54322 | − | 13.5485i | 0.657618 | − | 1.36167i | ||||
\(100\) | 0.358130 | + | 1.77753i | 0.0358130 | + | 0.177753i | ||||
\(101\) | −6.07018 | + | 4.05597i | −0.604006 | + | 0.403584i | −0.819630 | − | 0.572893i | \(-0.805821\pi\) |
0.215625 | + | 0.976476i | \(0.430821\pi\) | |||||||
\(102\) | 5.82690 | − | 0.994076i | 0.576949 | − | 0.0984282i | ||||
\(103\) | 7.50199 | + | 3.10743i | 0.739193 | + | 0.306184i | 0.720324 | − | 0.693638i | \(-0.243993\pi\) |
0.0188696 | + | 0.999822i | \(0.493993\pi\) | |||||||
\(104\) | 9.30618 | − | 2.86061i | 0.912546 | − | 0.280506i | ||||
\(105\) | −12.6044 | + | 14.4925i | −1.23006 | + | 1.41432i | ||||
\(106\) | 0.439015 | + | 4.40178i | 0.0426409 | + | 0.427539i | ||||
\(107\) | −1.06363 | + | 5.34721i | −0.102825 | + | 0.516935i | 0.894703 | + | 0.446661i | \(0.147387\pi\) |
−0.997528 | + | 0.0702732i | \(0.977613\pi\) | |||||||
\(108\) | −8.72548 | − | 5.64500i | −0.839610 | − | 0.543190i | ||||
\(109\) | 1.23989 | − | 1.85563i | 0.118760 | − | 0.177737i | −0.767327 | − | 0.641256i | \(-0.778413\pi\) |
0.886087 | + | 0.463519i | \(0.153413\pi\) | |||||||
\(110\) | −10.9518 | − | 13.3114i | −1.04422 | − | 1.26919i | ||||
\(111\) | −14.6765 | − | 4.91469i | −1.39303 | − | 0.466481i | ||||
\(112\) | 12.9688 | + | 12.8416i | 1.22544 | + | 1.21342i | ||||
\(113\) | 8.22640 | − | 8.22640i | 0.773875 | − | 0.773875i | −0.204906 | − | 0.978782i | \(-0.565689\pi\) |
0.978782 | + | 0.204906i | \(0.0656890\pi\) | |||||||
\(114\) | −8.05590 | + | 3.08133i | −0.754504 | + | 0.288593i | ||||
\(115\) | 1.39833 | − | 2.09275i | 0.130395 | − | 0.195150i | ||||
\(116\) | −2.05676 | − | 2.04665i | −0.190966 | − | 0.190027i | ||||
\(117\) | −7.70754 | + | 6.87244i | −0.712563 | + | 0.635357i | ||||
\(118\) | 12.9577 | − | 15.8287i | 1.19285 | − | 1.45715i | ||||
\(119\) | 10.1726 | − | 4.21364i | 0.932523 | − | 0.386264i | ||||
\(120\) | −10.0614 | + | 6.36613i | −0.918475 | + | 0.581145i | ||||
\(121\) | 13.0754 | + | 5.41601i | 1.18867 | + | 0.492364i | ||||
\(122\) | −3.44787 | − | 6.43144i | −0.312156 | − | 0.582275i | ||||
\(123\) | −0.417753 | + | 0.730499i | −0.0376675 | + | 0.0658669i | ||||
\(124\) | 2.13144 | − | 1.43179i | 0.191409 | − | 0.128579i | ||||
\(125\) | 9.75720 | − | 1.94083i | 0.872710 | − | 0.173593i | ||||
\(126\) | −18.1811 | − | 6.64706i | −1.61970 | − | 0.592167i | ||||
\(127\) | − | 6.47422i | − | 0.574494i | −0.957857 | − | 0.287247i | \(-0.907260\pi\) | ||
0.957857 | − | 0.287247i | \(-0.0927400\pi\) | |||||||
\(128\) | 5.41911 | + | 9.93143i | 0.478986 | + | 0.877823i | ||||
\(129\) | 3.32604 | − | 1.65728i | 0.292842 | − | 0.145916i | ||||
\(130\) | 3.44827 | + | 11.3172i | 0.302433 | + | 0.992584i | ||||
\(131\) | −2.31037 | − | 11.6150i | −0.201858 | − | 1.01481i | −0.940263 | − | 0.340450i | \(-0.889421\pi\) |
0.738405 | − | 0.674357i | \(-0.235579\pi\) | |||||||
\(132\) | 8.58745 | − | 15.1026i | 0.747442 | − | 1.31451i | ||||
\(133\) | −13.3586 | + | 8.92591i | −1.15833 | + | 0.773974i | ||||
\(134\) | 18.1642 | − | 9.73774i | 1.56914 | − | 0.841213i | ||||
\(135\) | 6.88578 | − | 10.5861i | 0.592634 | − | 0.911104i | ||||
\(136\) | 6.79015 | − | 0.694125i | 0.582251 | − | 0.0595207i | ||||
\(137\) | 4.13721 | + | 9.98812i | 0.353466 | + | 0.853342i | 0.996187 | + | 0.0872422i | \(0.0278054\pi\) |
−0.642721 | + | 0.766100i | \(0.722195\pi\) | |||||||
\(138\) | 2.47353 | + | 0.562811i | 0.210561 | + | 0.0479097i | ||||
\(139\) | −1.29848 | + | 6.52792i | −0.110136 | + | 0.553691i | 0.885834 | + | 0.464003i | \(0.153587\pi\) |
−0.995970 | + | 0.0896886i | \(0.971413\pi\) | |||||||
\(140\) | −15.6436 | + | 15.7209i | −1.32213 | + | 1.32866i | ||||
\(141\) | 0.976736 | − | 7.66272i | 0.0822560 | − | 0.645318i | ||||
\(142\) | 6.30774 | + | 0.613412i | 0.529334 | + | 0.0514764i | ||||
\(143\) | −12.2070 | − | 12.2070i | −1.02080 | − | 1.02080i | ||||
\(144\) | −9.61557 | − | 7.17919i | −0.801298 | − | 0.598266i | ||||
\(145\) | 2.49319 | − | 2.49319i | 0.207049 | − | 0.207049i | ||||
\(146\) | −3.56432 | + | 2.93252i | −0.294985 | + | 0.242697i | ||||
\(147\) | −23.7424 | − | 3.02635i | −1.95824 | − | 0.249609i | ||||
\(148\) | −16.5282 | − | 6.79855i | −1.35861 | − | 0.558838i | ||||
\(149\) | −22.0265 | − | 4.38134i | −1.80448 | − | 0.358933i | −0.825742 | − | 0.564049i | \(-0.809243\pi\) |
−0.978738 | + | 0.205115i | \(0.934243\pi\) | |||||||
\(150\) | −1.18279 | − | 1.87958i | −0.0965744 | − | 0.153467i | ||||
\(151\) | −12.9225 | + | 5.35268i | −1.05162 | + | 0.435595i | −0.840470 | − | 0.541859i | \(-0.817721\pi\) |
−0.211150 | + | 0.977454i | \(0.567721\pi\) | |||||||
\(152\) | −9.51979 | + | 2.92627i | −0.772157 | + | 0.237352i | ||||
\(153\) | −6.23964 | + | 3.67130i | −0.504445 | + | 0.296807i | ||||
\(154\) | 9.35598 | − | 30.9799i | 0.753926 | − | 2.49643i | ||||
\(155\) | 1.73349 | + | 2.59436i | 0.139238 | + | 0.208384i | ||||
\(156\) | −9.41198 | + | 7.32099i | −0.753561 | + | 0.586148i | ||||
\(157\) | 15.5006 | − | 3.08326i | 1.23708 | − | 0.246071i | 0.467140 | − | 0.884183i | \(-0.345284\pi\) |
0.769943 | + | 0.638112i | \(0.220284\pi\) | |||||||
\(158\) | −7.64455 | + | 14.3444i | −0.608168 | + | 1.14118i | ||||
\(159\) | −2.41622 | − | 4.84917i | −0.191619 | − | 0.384565i | ||||
\(160\) | −12.0846 | + | 6.55542i | −0.955375 | + | 0.518251i | ||||
\(161\) | 4.72528 | 0.372404 | ||||||||
\(162\) | 12.4446 | + | 2.67035i | 0.977744 | + | 0.209802i | ||||
\(163\) | 1.35389 | + | 6.80649i | 0.106045 | + | 0.533125i | 0.996889 | + | 0.0788159i | \(0.0251139\pi\) |
−0.890844 | + | 0.454309i | \(0.849886\pi\) | |||||||
\(164\) | −0.537853 | + | 0.809264i | −0.0419993 | + | 0.0631929i | ||||
\(165\) | 18.3266 | + | 10.4805i | 1.42672 | + | 0.815904i | ||||
\(166\) | −1.05640 | + | 3.49798i | −0.0819922 | + | 0.271496i | ||||
\(167\) | 4.67103 | − | 11.2769i | 0.361455 | − | 0.872631i | −0.633632 | − | 0.773634i | \(-0.718437\pi\) |
0.995088 | − | 0.0989963i | \(-0.0315632\pi\) | |||||||
\(168\) | −20.4318 | − | 9.06577i | −1.57635 | − | 0.699439i | ||||
\(169\) | −0.440655 | − | 1.06384i | −0.0338966 | − | 0.0818335i | ||||
\(170\) | 0.823148 | + | 8.25330i | 0.0631326 | + | 0.632999i | ||||
\(171\) | 7.88446 | − | 7.03018i | 0.602939 | − | 0.537612i | ||||
\(172\) | 3.96026 | − | 1.65184i | 0.301967 | − | 0.125951i | ||||
\(173\) | −4.95663 | − | 3.31192i | −0.376846 | − | 0.251800i | 0.352694 | − | 0.935739i | \(-0.385266\pi\) |
−0.729540 | + | 0.683938i | \(0.760266\pi\) | |||||||
\(174\) | 3.24471 | + | 1.44929i | 0.245981 | + | 0.109870i | ||||
\(175\) | −2.92509 | − | 2.92509i | −0.221116 | − | 0.221116i | ||||
\(176\) | 11.0629 | − | 16.7348i | 0.833901 | − | 1.26144i | ||||
\(177\) | −7.95541 | + | 23.7568i | −0.597965 | + | 1.78567i | ||||
\(178\) | −5.45066 | − | 0.530063i | −0.408544 | − | 0.0397299i | ||||
\(179\) | 20.8680 | + | 13.9435i | 1.55975 | + | 1.04219i | 0.972535 | + | 0.232756i | \(0.0747743\pi\) |
0.587211 | + | 0.809434i | \(0.300226\pi\) | |||||||
\(180\) | 8.75276 | − | 11.6631i | 0.652392 | − | 0.869316i | ||||
\(181\) | −4.12689 | − | 0.820889i | −0.306749 | − | 0.0610162i | 0.0393156 | − | 0.999227i | \(-0.487482\pi\) |
−0.346065 | + | 0.938211i | \(0.612482\pi\) | |||||||
\(182\) | −14.0695 | + | 17.1869i | −1.04290 | + | 1.27397i | ||||
\(183\) | 6.74369 | + | 5.86511i | 0.498508 | + | 0.433562i | ||||
\(184\) | 2.80618 | + | 0.839930i | 0.206874 | + | 0.0619205i | ||||
\(185\) | 8.31092 | − | 20.0643i | 0.611031 | − | 1.47516i | ||||
\(186\) | −1.81806 | + | 2.56598i | −0.133307 | + | 0.188147i | ||||
\(187\) | −6.72393 | − | 10.0631i | −0.491703 | − | 0.735885i | ||||
\(188\) | 1.71859 | − | 8.75261i | 0.125341 | − | 0.638350i | ||||
\(189\) | 23.7069 | − | 0.292848i | 1.72442 | − | 0.0213016i | ||||
\(190\) | −3.52742 | − | 11.5770i | −0.255906 | − | 0.839881i | ||||
\(191\) | 25.7448 | 1.86283 | 0.931415 | − | 0.363960i | \(-0.118575\pi\) | ||||
0.931415 | + | 0.363960i | \(0.118575\pi\) | |||||||
\(192\) | −10.5223 | − | 9.01565i | −0.759379 | − | 0.650648i | ||||
\(193\) | −4.10419 | −0.295426 | −0.147713 | − | 0.989030i | \(-0.547191\pi\) | ||||
−0.147713 | + | 0.989030i | \(0.547191\pi\) | |||||||
\(194\) | −2.47859 | − | 8.13470i | −0.177952 | − | 0.584038i | ||||
\(195\) | −8.86809 | − | 11.4591i | −0.635057 | − | 0.820604i | ||||
\(196\) | −27.1193 | − | 5.32493i | −1.93709 | − | 0.380352i | ||||
\(197\) | 5.68324 | + | 8.50557i | 0.404914 | + | 0.605997i | 0.976753 | − | 0.214370i | \(-0.0687697\pi\) |
−0.571839 | + | 0.820366i | \(0.693770\pi\) | |||||||
\(198\) | −3.26717 | + | 21.0256i | −0.232188 | + | 1.49422i | ||||
\(199\) | −5.95397 | + | 14.3741i | −0.422066 | + | 1.01896i | 0.559672 | + | 0.828714i | \(0.310927\pi\) |
−0.981737 | + | 0.190242i | \(0.939073\pi\) | |||||||
\(200\) | −1.21717 | − | 2.25705i | −0.0860667 | − | 0.159598i | ||||
\(201\) | −16.5647 | + | 19.0460i | −1.16838 | + | 1.34340i | ||||
\(202\) | 6.53997 | − | 7.98903i | 0.460151 | − | 0.562106i | ||||
\(203\) | 6.49233 | + | 1.29141i | 0.455673 | + | 0.0906389i | ||||
\(204\) | −7.47295 | + | 3.74660i | −0.523211 | + | 0.262314i | ||||
\(205\) | −0.981786 | − | 0.656009i | −0.0685709 | − | 0.0458176i | ||||
\(206\) | −11.4296 | − | 1.11150i | −0.796340 | − | 0.0774421i | ||||
\(207\) | −3.07685 | + | 0.430879i | −0.213856 | + | 0.0299482i | ||||
\(208\) | −11.4104 | + | 7.70579i | −0.791168 | + | 0.534301i | ||||
\(209\) | 12.4872 | + | 12.4872i | 0.863758 | + | 0.863758i | ||||
\(210\) | 11.0777 | − | 24.8010i | 0.764432 | − | 1.71143i | ||||
\(211\) | −0.767980 | − | 0.513148i | −0.0528699 | − | 0.0353265i | 0.528854 | − | 0.848713i | \(-0.322622\pi\) |
−0.581724 | + | 0.813386i | \(0.697622\pi\) | |||||||
\(212\) | −2.40828 | − | 5.77382i | −0.165401 | − | 0.396548i | ||||
\(213\) | −7.48901 | + | 2.03976i | −0.513138 | + | 0.139762i | ||||
\(214\) | −0.765191 | − | 7.67219i | −0.0523074 | − | 0.524460i | ||||
\(215\) | 1.99541 | + | 4.81735i | 0.136086 | + | 0.328540i | ||||
\(216\) | 14.1307 | + | 4.04004i | 0.961476 | + | 0.274890i | ||||
\(217\) | −2.24171 | + | 5.41196i | −0.152177 | + | 0.367388i | ||||
\(218\) | −0.912465 | + | 3.02139i | −0.0618000 | + | 0.204635i | ||||
\(219\) | 2.80630 | − | 4.90721i | 0.189632 | − | 0.331599i | ||||
\(220\) | 20.3026 | + | 13.4935i | 1.36880 | + | 0.909733i | ||||
\(221\) | 1.62054 | + | 8.14700i | 0.109009 | + | 0.548027i | ||||
\(222\) | 21.8803 | + | 0.599129i | 1.46851 | + | 0.0402109i | ||||
\(223\) | −5.89378 | −0.394677 | −0.197338 | − | 0.980335i | \(-0.563230\pi\) | ||||
−0.197338 | + | 0.980335i | \(0.563230\pi\) | |||||||
\(224\) | −22.8376 | − | 12.0266i | −1.52590 | − | 0.803563i | ||||
\(225\) | 2.17139 | + | 1.63793i | 0.144759 | + | 0.109196i | ||||
\(226\) | −7.73792 | + | 14.5196i | −0.514719 | + | 0.965831i | ||||
\(227\) | 14.7431 | − | 2.93258i | 0.978533 | − | 0.194642i | 0.320184 | − | 0.947355i | \(-0.396255\pi\) |
0.658349 | + | 0.752713i | \(0.271255\pi\) | |||||||
\(228\) | 9.62801 | − | 7.48903i | 0.637631 | − | 0.495973i | ||||
\(229\) | 5.24160 | + | 7.84461i | 0.346375 | + | 0.518386i | 0.963226 | − | 0.268694i | \(-0.0865919\pi\) |
−0.616851 | + | 0.787080i | \(0.711592\pi\) | |||||||
\(230\) | −1.02906 | + | 3.40748i | −0.0678545 | + | 0.224683i | ||||
\(231\) | 2.75507 | + | 39.5391i | 0.181271 | + | 2.60148i | ||||
\(232\) | 3.62602 | + | 1.92095i | 0.238060 | + | 0.126117i | ||||
\(233\) | −1.97027 | + | 0.816112i | −0.129077 | + | 0.0534653i | −0.446287 | − | 0.894890i | \(-0.647254\pi\) |
0.317210 | + | 0.948355i | \(0.397254\pi\) | |||||||
\(234\) | 7.59409 | − | 12.4741i | 0.496441 | − | 0.815457i | ||||
\(235\) | 10.6308 | + | 2.11460i | 0.693477 | + | 0.137941i | ||||
\(236\) | −11.0048 | + | 26.7543i | −0.716353 | + | 1.74156i | ||||
\(237\) | 2.51714 | − | 19.7476i | 0.163506 | − | 1.28274i | ||||
\(238\) | −12.0248 | + | 9.89333i | −0.779453 | + | 0.641289i | ||||
\(239\) | −0.0977388 | + | 0.0977388i | −0.00632220 | + | 0.00632220i | −0.710261 | − | 0.703939i | \(-0.751423\pi\) |
0.703939 | + | 0.710261i | \(0.251423\pi\) | |||||||
\(240\) | 10.9871 | − | 12.7594i | 0.709214 | − | 0.823615i | ||||
\(241\) | −11.4564 | − | 11.4564i | −0.737972 | − | 0.737972i | 0.234213 | − | 0.972185i | \(-0.424749\pi\) |
−0.972185 | + | 0.234213i | \(0.924749\pi\) | |||||||
\(242\) | −19.9210 | − | 1.93726i | −1.28057 | − | 0.124532i | ||||
\(243\) | −15.4099 | + | 2.35242i | −0.988548 | + | 0.150908i | ||||
\(244\) | 7.31531 | + | 7.27934i | 0.468315 | + | 0.466012i | ||||
\(245\) | 6.55193 | − | 32.9388i | 0.418587 | − | 2.10438i | ||||
\(246\) | 0.264035 | − | 1.16042i | 0.0168343 | − | 0.0739858i | ||||
\(247\) | −4.63831 | − | 11.1979i | −0.295128 | − | 0.712503i | ||||
\(248\) | −2.29326 | + | 2.81551i | −0.145622 | + | 0.178785i | ||||
\(249\) | −0.311079 | − | 4.46442i | −0.0197138 | − | 0.282921i | ||||
\(250\) | −12.3997 | + | 6.64741i | −0.784223 | + | 0.420419i | ||||
\(251\) | 1.56703 | − | 1.04706i | 0.0989100 | − | 0.0660896i | −0.505132 | − | 0.863042i | \(-0.668556\pi\) |
0.604042 | + | 0.796953i | \(0.293556\pi\) | |||||||
\(252\) | 27.3354 | + | 1.49813i | 1.72197 | + | 0.0943732i | ||||
\(253\) | −1.01328 | − | 5.09411i | −0.0637044 | − | 0.320264i | ||||
\(254\) | 2.66862 | + | 8.75839i | 0.167444 | + | 0.549550i | ||||
\(255\) | −4.53039 | − | 9.09215i | −0.283704 | − | 0.569373i | ||||
\(256\) | −11.4247 | − | 11.2016i | −0.714043 | − | 0.700102i | ||||
\(257\) | 12.3984i | 0.773392i | 0.922207 | + | 0.386696i | \(0.126384\pi\) | ||||
−0.922207 | + | 0.386696i | \(0.873616\pi\) | |||||||
\(258\) | −3.81639 | + | 3.61296i | −0.237598 | + | 0.224933i | ||||
\(259\) | 39.9889 | − | 7.95428i | 2.48479 | − | 0.494255i | ||||
\(260\) | −9.32971 | − | 13.8887i | −0.578604 | − | 0.861339i | ||||
\(261\) | −4.34522 | − | 0.248883i | −0.268962 | − | 0.0154055i | ||||
\(262\) | 7.91310 | + | 14.7606i | 0.488873 | + | 0.911912i | ||||
\(263\) | −20.0474 | − | 8.30391i | −1.23618 | − | 0.512041i | −0.333659 | − | 0.942694i | \(-0.608283\pi\) |
−0.902518 | + | 0.430653i | \(0.858283\pi\) | |||||||
\(264\) | −5.39203 | + | 23.9706i | −0.331857 | + | 1.47529i | ||||
\(265\) | 7.02341 | − | 2.90919i | 0.431445 | − | 0.178710i | ||||
\(266\) | 14.3924 | − | 17.5814i | 0.882456 | − | 1.07798i | ||||
\(267\) | 6.47142 | − | 1.76260i | 0.396044 | − | 0.107869i | ||||
\(268\) | −20.5589 | + | 20.6604i | −1.25583 | + | 1.26204i | ||||
\(269\) | 6.20282 | − | 9.28318i | 0.378193 | − | 0.566005i | −0.592729 | − | 0.805402i | \(-0.701950\pi\) |
0.970922 | + | 0.239396i | \(0.0769496\pi\) | |||||||
\(270\) | −4.95167 | + | 17.1592i | −0.301349 | + | 1.04428i | ||||
\(271\) | 10.8048 | − | 10.8048i | 0.656342 | − | 0.656342i | −0.298170 | − | 0.954513i | \(-0.596376\pi\) |
0.954513 | + | 0.298170i | \(0.0963764\pi\) | |||||||
\(272\) | −8.89968 | + | 3.73786i | −0.539623 | + | 0.226641i | ||||
\(273\) | 8.63801 | − | 25.7952i | 0.522796 | − | 1.56120i | ||||
\(274\) | −9.71389 | − | 11.8067i | −0.586837 | − | 0.713269i | ||||
\(275\) | −2.52615 | + | 3.78066i | −0.152333 | + | 0.227982i | ||||
\(276\) | −3.57820 | + | 0.258190i | −0.215382 | + | 0.0155412i | ||||
\(277\) | −2.84975 | + | 14.3267i | −0.171225 | + | 0.860806i | 0.795689 | + | 0.605705i | \(0.207109\pi\) |
−0.966914 | + | 0.255101i | \(0.917891\pi\) | |||||||
\(278\) | −0.934151 | − | 9.36627i | −0.0560267 | − | 0.561752i | ||||
\(279\) | 0.966183 | − | 3.72839i | 0.0578439 | − | 0.223213i | ||||
\(280\) | 14.6828 | − | 27.7156i | 0.877467 | − | 1.65632i | ||||
\(281\) | −17.7892 | − | 7.36852i | −1.06121 | − | 0.439569i | −0.217332 | − | 0.976098i | \(-0.569735\pi\) |
−0.843882 | + | 0.536529i | \(0.819735\pi\) | |||||||
\(282\) | 1.83717 | + | 10.7688i | 0.109402 | + | 0.641274i | ||||
\(283\) | −18.2010 | + | 12.1615i | −1.08194 | + | 0.722928i | −0.962872 | − | 0.269958i | \(-0.912990\pi\) |
−0.119067 | + | 0.992886i | \(0.537990\pi\) | |||||||
\(284\) | −8.78603 | + | 1.77017i | −0.521355 | + | 0.105040i | ||||
\(285\) | 9.07164 | + | 11.7221i | 0.537358 | + | 0.694360i | ||||
\(286\) | 21.5454 | + | 11.4822i | 1.27401 | + | 0.678954i | ||||
\(287\) | − | 2.21680i | − | 0.130854i | ||||||
\(288\) | 15.9673 | + | 5.74862i | 0.940880 | + | 0.338741i | ||||
\(289\) | − | 11.1765i | − | 0.657441i | ||||||
\(290\) | −2.34515 | + | 4.40050i | −0.137712 | + | 0.258406i | ||||
\(291\) | 6.37431 | + | 8.23671i | 0.373668 | + | 0.482845i | ||||
\(292\) | 3.61309 | − | 5.43633i | 0.211440 | − | 0.318137i | ||||
\(293\) | −8.73226 | + | 5.83471i | −0.510144 | + | 0.340867i | −0.783854 | − | 0.620945i | \(-0.786749\pi\) |
0.273710 | + | 0.961812i | \(0.411749\pi\) | |||||||
\(294\) | 33.3664 | − | 5.69234i | 1.94597 | − | 0.331984i | ||||
\(295\) | −32.4782 | − | 13.4529i | −1.89095 | − | 0.783258i | ||||
\(296\) | 25.1619 | + | 2.38435i | 1.46251 | + | 0.138588i | ||||
\(297\) | −5.39937 | − | 25.4945i | −0.313303 | − | 1.47934i | ||||
\(298\) | 31.6036 | − | 3.15201i | 1.83075 | − | 0.182591i | ||||
\(299\) | −0.695456 | + | 3.49629i | −0.0402192 | + | 0.202196i | ||||
\(300\) | 2.37484 | + | 2.05519i | 0.137112 | + | 0.118656i | ||||
\(301\) | −5.43861 | + | 8.13945i | −0.313476 | + | 0.469150i | ||||
\(302\) | 15.2754 | − | 12.5677i | 0.879000 | − | 0.723191i | ||||
\(303\) | −4.01524 | + | 11.9905i | −0.230669 | + | 0.688835i | ||||
\(304\) | 11.6723 | − | 7.88267i | 0.669452 | − | 0.452102i | ||||
\(305\) | −8.86757 | + | 8.86757i | −0.507756 | + | 0.507756i | ||||
\(306\) | 6.92777 | − | 7.53850i | 0.396035 | − | 0.430947i | ||||
\(307\) | −13.1089 | + | 19.6188i | −0.748163 | + | 1.11971i | 0.240659 | + | 0.970610i | \(0.422636\pi\) |
−0.988823 | + | 0.149096i | \(0.952364\pi\) | |||||||
\(308\) | 0.112785 | + | 45.7664i | 0.00642652 | + | 2.60778i | ||||
\(309\) | 13.5701 | − | 3.69605i | 0.771975 | − | 0.210261i | ||||
\(310\) | −3.41446 | − | 2.79514i | −0.193928 | − | 0.158753i | ||||
\(311\) | −15.7530 | + | 6.52511i | −0.893271 | + | 0.370005i | −0.781629 | − | 0.623744i | \(-0.785611\pi\) |
−0.111642 | + | 0.993749i | \(0.535611\pi\) | |||||||
\(312\) | 9.71498 | − | 13.7835i | 0.550002 | − | 0.780334i | ||||
\(313\) | 12.5925 | + | 5.21598i | 0.711769 | + | 0.294824i | 0.709036 | − | 0.705172i | \(-0.249130\pi\) |
0.00273268 | + | 0.999996i | \(0.499130\pi\) | |||||||
\(314\) | −19.6985 | + | 10.5603i | −1.11165 | + | 0.595952i | ||||
\(315\) | −1.90235 | + | 33.2128i | −0.107185 | + | 1.87133i | ||||
\(316\) | 4.42898 | − | 22.5563i | 0.249149 | − | 1.26889i | ||||
\(317\) | −0.114424 | + | 0.0227603i | −0.00642669 | + | 0.00127835i | −0.198303 | − | 0.980141i | \(-0.563543\pi\) |
0.191876 | + | 0.981419i | \(0.438543\pi\) | |||||||
\(318\) | 5.26748 | + | 5.56407i | 0.295386 | + | 0.312018i | ||||
\(319\) | − | 7.27602i | − | 0.407379i | ||||||
\(320\) | 13.6461 | − | 13.8494i | 0.762843 | − | 0.774207i | ||||
\(321\) | 4.21141 | + | 8.45198i | 0.235058 | + | 0.471744i | ||||
\(322\) | −6.39241 | + | 1.94772i | −0.356235 | + | 0.108542i | ||||
\(323\) | −1.65774 | − | 8.33400i | −0.0922389 | − | 0.463716i | ||||
\(324\) | −17.9360 | + | 1.51711i | −0.996442 | + | 0.0842838i | ||||
\(325\) | 2.59482 | − | 1.73380i | 0.143935 | − | 0.0961740i | ||||
\(326\) | −4.63714 | − | 8.64983i | −0.256828 | − | 0.479070i | ||||
\(327\) | −0.268696 | − | 3.85615i | −0.0148589 | − | 0.213246i | ||||
\(328\) | 0.394042 | − | 1.31648i | 0.0217573 | − | 0.0726905i | ||||
\(329\) | 7.78731 | + | 18.8002i | 0.429328 | + | 1.03649i | ||||
\(330\) | −29.1123 | − | 6.62404i | −1.60258 | − | 0.364642i | ||||
\(331\) | −4.21708 | + | 21.2007i | −0.231792 | + | 1.16530i | 0.673067 | + | 0.739582i | \(0.264977\pi\) |
−0.904858 | + | 0.425713i | \(0.860023\pi\) | |||||||
\(332\) | −0.0127347 | − | 5.16755i | −0.000698908 | − | 0.283606i | ||||
\(333\) | −25.3133 | + | 8.82583i | −1.38716 | + | 0.483652i | ||||
\(334\) | −1.67079 | + | 17.1808i | −0.0914217 | + | 0.940094i | ||||
\(335\) | −25.0445 | − | 25.0445i | −1.36833 | − | 1.36833i | ||||
\(336\) | 31.3772 | + | 3.84246i | 1.71177 | + | 0.209623i | ||||
\(337\) | −10.3569 | + | 10.3569i | −0.564175 | + | 0.564175i | −0.930491 | − | 0.366316i | \(-0.880619\pi\) |
0.366316 | + | 0.930491i | \(0.380619\pi\) | |||||||
\(338\) | 1.03463 | + | 1.25753i | 0.0562763 | + | 0.0684009i | ||||
\(339\) | 2.54789 | − | 19.9888i | 0.138382 | − | 1.08564i | ||||
\(340\) | −4.51550 | − | 10.8259i | −0.244888 | − | 0.587114i | ||||
\(341\) | 6.31510 | + | 1.25615i | 0.341982 | + | 0.0680244i | ||||
\(342\) | −7.76840 | + | 12.7604i | −0.420067 | + | 0.690004i | ||||
\(343\) | 28.7432 | − | 11.9058i | 1.55199 | − | 0.642854i | ||||
\(344\) | −4.67661 | + | 3.86701i | −0.252146 | + | 0.208495i | ||||
\(345\) | −0.303031 | − | 4.34891i | −0.0163146 | − | 0.234137i | ||||
\(346\) | 8.07053 | + | 2.43731i | 0.433875 | + | 0.131031i | ||||
\(347\) | 2.79591 | + | 4.18438i | 0.150092 | + | 0.224629i | 0.898895 | − | 0.438164i | \(-0.144371\pi\) |
−0.748803 | + | 0.662793i | \(0.769371\pi\) | |||||||
\(348\) | −4.98686 | − | 0.623170i | −0.267324 | − | 0.0334054i | ||||
\(349\) | −2.56083 | + | 0.509380i | −0.137078 | + | 0.0272665i | −0.263152 | − | 0.964754i | \(-0.584762\pi\) |
0.126074 | + | 0.992021i | \(0.459762\pi\) | |||||||
\(350\) | 5.16279 | + | 2.75140i | 0.275963 | + | 0.147068i | ||||
\(351\) | −3.27244 | + | 17.5841i | −0.174670 | + | 0.938570i | ||||
\(352\) | −8.06811 | + | 27.1991i | −0.430032 | + | 1.44972i | ||||
\(353\) | 22.4679 | 1.19584 | 0.597922 | − | 0.801554i | \(-0.295993\pi\) | ||||
0.597922 | + | 0.801554i | \(0.295993\pi\) | |||||||
\(354\) | 0.969811 | − | 35.4176i | 0.0515449 | − | 1.88242i | ||||
\(355\) | −2.12475 | − | 10.6819i | −0.112770 | − | 0.566934i | ||||
\(356\) | 7.59221 | − | 1.52964i | 0.402386 | − | 0.0810709i | ||||
\(357\) | 9.46752 | − | 16.5553i | 0.501074 | − | 0.876198i | ||||
\(358\) | −33.9779 | − | 10.2614i | −1.79579 | − | 0.542330i | ||||
\(359\) | −12.6536 | + | 30.5485i | −0.667833 | + | 1.61229i | 0.117397 | + | 0.993085i | \(0.462545\pi\) |
−0.785229 | + | 0.619205i | \(0.787455\pi\) | |||||||
\(360\) | −7.03340 | + | 19.3858i | −0.370692 | + | 1.02172i | ||||
\(361\) | −2.52622 | − | 6.09882i | −0.132959 | − | 0.320991i | ||||
\(362\) | 5.92126 | − | 0.590561i | 0.311215 | − | 0.0310392i | ||||
\(363\) | 23.6516 | − | 6.44193i | 1.24139 | − | 0.338113i | ||||
\(364\) | 11.9491 | − | 29.0499i | 0.626302 | − | 1.52263i | ||||
\(365\) | 6.59526 | + | 4.40681i | 0.345212 | + | 0.230663i | ||||
\(366\) | −11.5405 | − | 5.15470i | −0.603231 | − | 0.269440i | ||||
\(367\) | 9.44890 | + | 9.44890i | 0.493229 | + | 0.493229i | 0.909322 | − | 0.416093i | \(-0.136601\pi\) |
−0.416093 | + | 0.909322i | \(0.636601\pi\) | |||||||
\(368\) | −4.14244 | + | 0.0204171i | −0.215940 | + | 0.00106431i | ||||
\(369\) | 0.202141 | + | 1.44346i | 0.0105231 | + | 0.0751435i | ||||
\(370\) | −2.97275 | + | 30.5690i | −0.154546 | + | 1.58920i | ||||
\(371\) | 11.8668 | + | 7.92916i | 0.616095 | + | 0.411662i | ||||
\(372\) | 1.40181 | − | 4.22068i | 0.0726807 | − | 0.218832i | ||||
\(373\) | 11.8008 | + | 2.34733i | 0.611024 | + | 0.121540i | 0.490896 | − | 0.871218i | \(-0.336670\pi\) |
0.120128 | + | 0.992758i | \(0.461670\pi\) | |||||||
\(374\) | 13.2441 | + | 10.8419i | 0.684838 | + | 0.560621i | ||||
\(375\) | 11.3078 | − | 13.0017i | 0.583931 | − | 0.671403i | ||||
\(376\) | 1.28283 | + | 12.5490i | 0.0661567 | + | 0.647166i | ||||
\(377\) | −1.91105 | + | 4.61369i | −0.0984243 | + | 0.237617i | ||||
\(378\) | −31.9502 | + | 10.1679i | −1.64334 | + | 0.522983i | ||||
\(379\) | −12.3972 | − | 18.5537i | −0.636801 | − | 0.953040i | −0.999774 | − | 0.0212405i | \(-0.993238\pi\) |
0.362973 | − | 0.931799i | \(-0.381762\pi\) | |||||||
\(380\) | 9.54386 | + | 14.2075i | 0.489590 | + | 0.728828i | ||||
\(381\) | −6.86302 | − | 8.86822i | −0.351603 | − | 0.454333i | ||||
\(382\) | −34.8279 | + | 10.6118i | −1.78195 | + | 0.542947i | ||||
\(383\) | −3.89254 | −0.198899 | −0.0994497 | − | 0.995043i | \(-0.531708\pi\) | ||||
−0.0994497 | + | 0.995043i | \(0.531708\pi\) | |||||||
\(384\) | 17.9508 | + | 7.85928i | 0.916049 | + | 0.401067i | ||||
\(385\) | −55.6145 | −2.83438 | ||||||||
\(386\) | 5.55219 | − | 1.69171i | 0.282599 | − | 0.0861059i | ||||
\(387\) | 2.79912 | − | 5.79589i | 0.142287 | − | 0.294622i | ||||
\(388\) | 6.70612 | + | 9.98307i | 0.340451 | + | 0.506813i | ||||
\(389\) | 10.8076 | + | 16.1748i | 0.547969 | + | 0.820094i | 0.997312 | − | 0.0732653i | \(-0.0233420\pi\) |
−0.449343 | + | 0.893359i | \(0.648342\pi\) | |||||||
\(390\) | 16.7202 | + | 11.8467i | 0.846660 | + | 0.599879i | ||||
\(391\) | −0.956386 | + | 2.30892i | −0.0483665 | + | 0.116767i | ||||
\(392\) | 38.8822 | − | 3.97474i | 1.96385 | − | 0.200755i | ||||
\(393\) | −15.4772 | − | 13.4608i | −0.780722 | − | 0.679009i | ||||
\(394\) | −11.1943 | − | 9.16384i | −0.563959 | − | 0.461668i | ||||
\(395\) | 27.3966 | + | 5.44952i | 1.37847 | + | 0.274195i | ||||
\(396\) | −4.24670 | − | 29.7903i | −0.213405 | − | 1.49702i | ||||
\(397\) | 22.1573 | + | 14.8051i | 1.11204 | + | 0.743044i | 0.969096 | − | 0.246686i | \(-0.0793415\pi\) |
0.142949 | + | 0.989730i | \(0.454342\pi\) | |||||||
\(398\) | 2.12969 | − | 21.8997i | 0.106752 | − | 1.09773i | ||||
\(399\) | −8.83628 | + | 26.3873i | −0.442367 | + | 1.32102i | ||||
\(400\) | 2.57694 | + | 2.55166i | 0.128847 | + | 0.127583i | ||||
\(401\) | −23.3982 | − | 23.3982i | −1.16845 | − | 1.16845i | −0.982572 | − | 0.185880i | \(-0.940486\pi\) |
−0.185880 | − | 0.982572i | \(-0.559514\pi\) | |||||||
\(402\) | 14.5583 | − | 32.5935i | 0.726101 | − | 1.62562i | ||||
\(403\) | −3.67445 | − | 2.45519i | −0.183037 | − | 0.122302i | ||||
\(404\) | −5.55434 | + | 13.5034i | −0.276338 | + | 0.671818i | ||||
\(405\) | −1.78984 | − | 21.7998i | −0.0889378 | − | 1.08324i | ||||
\(406\) | −9.31521 | + | 0.929059i | −0.462306 | + | 0.0461084i | ||||
\(407\) | −17.1503 | − | 41.4045i | −0.850109 | − | 2.05234i | ||||
\(408\) | 8.56517 | − | 8.14873i | 0.424039 | − | 0.403422i | ||||
\(409\) | 1.15111 | − | 2.77904i | 0.0569189 | − | 0.137414i | −0.892862 | − | 0.450331i | \(-0.851306\pi\) |
0.949781 | + | 0.312916i | \(0.101306\pi\) | |||||||
\(410\) | 1.59857 | + | 0.482772i | 0.0789479 | + | 0.0238424i | ||||
\(411\) | 16.2550 | + | 9.29580i | 0.801800 | + | 0.458528i | ||||
\(412\) | 15.9203 | − | 3.20755i | 0.784336 | − | 0.158025i | ||||
\(413\) | −12.8756 | − | 64.7300i | −0.633567 | − | 3.18516i | ||||
\(414\) | 3.98479 | − | 1.85115i | 0.195842 | − | 0.0909790i | ||||
\(415\) | 6.27951 | 0.308249 | ||||||||
\(416\) | 12.2598 | − | 15.1278i | 0.601088 | − | 0.741699i | ||||
\(417\) | 5.14132 | + | 10.3183i | 0.251772 | + | 0.505287i | ||||
\(418\) | −22.0399 | − | 11.7457i | −1.07801 | − | 0.574501i | ||||
\(419\) | −21.8105 | + | 4.33837i | −1.06551 | + | 0.211943i | −0.696555 | − | 0.717504i | \(-0.745285\pi\) |
−0.368956 | + | 0.929447i | \(0.620285\pi\) | |||||||
\(420\) | −4.76322 | + | 38.1172i | −0.232421 | + | 1.85993i | ||||
\(421\) | −16.3718 | − | 24.5021i | −0.797913 | − | 1.19416i | −0.977607 | − | 0.210439i | \(-0.932511\pi\) |
0.179694 | − | 0.983723i | \(-0.442489\pi\) | |||||||
\(422\) | 1.25045 | + | 0.377637i | 0.0608708 | + | 0.0183831i | ||||
\(423\) | −6.78500 | − | 11.5316i | −0.329898 | − | 0.560686i | ||||
\(424\) | 5.63787 | + | 6.81821i | 0.273799 | + | 0.331122i | ||||
\(425\) | 2.02132 | − | 0.837260i | 0.0980486 | − | 0.0406131i | ||||
\(426\) | 9.29044 | − | 5.84632i | 0.450123 | − | 0.283255i | ||||
\(427\) | −23.0914 | − | 4.59316i | −1.11747 | − | 0.222278i | ||||
\(428\) | 4.19757 | + | 10.0636i | 0.202897 | + | 0.486443i | ||||
\(429\) | −29.6610 | − | 3.78076i | −1.43204 | − | 0.182537i | ||||
\(430\) | −4.68509 | − | 5.69447i | −0.225935 | − | 0.274612i | ||||
\(431\) | 0.217084 | − | 0.217084i | 0.0104566 | − | 0.0104566i | −0.701859 | − | 0.712316i | \(-0.747646\pi\) |
0.712316 | + | 0.701859i | \(0.247646\pi\) | |||||||
\(432\) | −20.7815 | + | 0.359160i | −0.999851 | + | 0.0172801i | ||||
\(433\) | 12.6377 | + | 12.6377i | 0.607329 | + | 0.607329i | 0.942247 | − | 0.334918i | \(-0.108709\pi\) |
−0.334918 | + | 0.942247i | \(0.608709\pi\) | |||||||
\(434\) | 0.801841 | − | 8.24537i | 0.0384896 | − | 0.395791i | ||||
\(435\) | 0.772194 | − | 6.05804i | 0.0370239 | − | 0.290461i | ||||
\(436\) | −0.0109996 | − | 4.46348i | −0.000526787 | − | 0.213762i | ||||
\(437\) | 0.711419 | − | 3.57654i | 0.0340318 | − | 0.171089i | ||||
\(438\) | −1.77369 | + | 7.79527i | −0.0847500 | + | 0.372472i | ||||
\(439\) | 7.54155 | + | 18.2069i | 0.359938 | + | 0.868968i | 0.995308 | + | 0.0967598i | \(0.0308479\pi\) |
−0.635369 | + | 0.772208i | \(0.719152\pi\) | |||||||
\(440\) | −33.0275 | − | 9.88561i | −1.57452 | − | 0.471278i | ||||
\(441\) | −35.7298 | + | 21.0228i | −1.70142 | + | 1.00109i | ||||
\(442\) | −5.55041 | − | 10.3534i | −0.264006 | − | 0.492460i | ||||
\(443\) | 12.5196 | − | 8.36533i | 0.594824 | − | 0.397449i | −0.221401 | − | 0.975183i | \(-0.571063\pi\) |
0.816225 | + | 0.577734i | \(0.196063\pi\) | |||||||
\(444\) | −29.8468 | + | 8.20836i | −1.41647 | + | 0.389551i | ||||
\(445\) | 1.83605 | + | 9.23043i | 0.0870370 | + | 0.437564i | ||||
\(446\) | 7.97317 | − | 2.42937i | 0.377541 | − | 0.115034i | ||||
\(447\) | −34.8158 | + | 17.3478i | −1.64673 | + | 0.820524i | ||||
\(448\) | 35.8522 | + | 6.85630i | 1.69386 | + | 0.323930i | ||||
\(449\) | 35.8732i | 1.69296i | 0.532420 | + | 0.846480i | \(0.321283\pi\) | ||||
−0.532420 | + | 0.846480i | \(0.678717\pi\) | |||||||
\(450\) | −3.61262 | − | 1.32079i | −0.170301 | − | 0.0622624i | ||||
\(451\) | −2.38983 | + | 0.475367i | −0.112533 | + | 0.0223842i | ||||
\(452\) | 4.48307 | − | 22.8318i | 0.210866 | − | 1.07392i | ||||
\(453\) | −12.0268 | + | 21.0305i | −0.565069 | + | 0.988101i | ||||
\(454\) | −18.7358 | + | 10.0442i | −0.879316 | + | 0.471398i | ||||
\(455\) | 35.2649 | + | 14.6072i | 1.65324 | + | 0.684796i | ||||
\(456\) | −9.93797 | + | 14.0998i | −0.465388 | + | 0.660285i | ||||
\(457\) | 27.1400 | − | 11.2417i | 1.26955 | − | 0.525866i | 0.356725 | − | 0.934209i | \(-0.383893\pi\) |
0.912829 | + | 0.408343i | \(0.133893\pi\) | |||||||
\(458\) | −10.3244 | − | 8.45173i | −0.482426 | − | 0.394923i | ||||
\(459\) | −4.65513 | + | 11.6432i | −0.217283 | + | 0.543458i | ||||
\(460\) | −0.0124052 | − | 5.03385i | −0.000578397 | − | 0.234704i | ||||
\(461\) | 4.40053 | − | 6.58586i | 0.204953 | − | 0.306734i | −0.714726 | − | 0.699405i | \(-0.753449\pi\) |
0.919679 | + | 0.392670i | \(0.128449\pi\) | |||||||
\(462\) | −20.0248 | − | 52.3533i | −0.931637 | − | 2.43570i | ||||
\(463\) | −1.05229 | + | 1.05229i | −0.0489040 | + | 0.0489040i | −0.731136 | − | 0.682232i | \(-0.761009\pi\) |
0.682232 | + | 0.731136i | \(0.261009\pi\) | |||||||
\(464\) | −5.69712 | − | 1.10407i | −0.264482 | − | 0.0512550i | ||||
\(465\) | 5.12466 | + | 1.71609i | 0.237650 | + | 0.0795817i | ||||
\(466\) | 2.32901 | − | 1.91617i | 0.107889 | − | 0.0887651i | ||||
\(467\) | −18.0199 | + | 26.9687i | −0.833861 | + | 1.24796i | 0.132606 | + | 0.991169i | \(0.457666\pi\) |
−0.966467 | + | 0.256792i | \(0.917334\pi\) | |||||||
\(468\) | −5.13165 | + | 20.0053i | −0.237210 | + | 0.924746i | ||||
\(469\) | 12.9723 | − | 65.2164i | 0.599007 | − | 3.01141i | ||||
\(470\) | −15.2531 | + | 1.52128i | −0.703572 | + | 0.0701713i | ||||
\(471\) | 17.9639 | − | 20.6549i | 0.827734 | − | 0.951726i | ||||
\(472\) | 3.85955 | − | 40.7296i | 0.177650 | − | 1.87473i | ||||
\(473\) | 9.94102 | + | 4.11770i | 0.457088 | + | 0.189332i | ||||
\(474\) | 4.73457 | + | 27.7523i | 0.217466 | + | 1.27471i | ||||
\(475\) | −2.65438 | + | 1.77360i | −0.121791 | + | 0.0813783i | ||||
\(476\) | 12.1893 | − | 18.3403i | 0.558698 | − | 0.840628i | ||||
\(477\) | −8.45007 | − | 4.08095i | −0.386902 | − | 0.186854i | ||||
\(478\) | 0.0919350 | − | 0.172509i | 0.00420501 | − | 0.00789039i | ||||
\(479\) | 11.1857i | 0.511086i | 0.966798 | + | 0.255543i | \(0.0822543\pi\) | ||||
−0.966798 | + | 0.255543i | \(0.917746\pi\) | |||||||
\(480\) | −9.60414 | + | 21.7898i | −0.438367 | + | 0.994565i | ||||
\(481\) | 30.7590i | 1.40249i | ||||||||
\(482\) | 20.2206 | + | 10.7761i | 0.921023 | + | 0.490839i | ||||
\(483\) | 6.47257 | − | 5.00905i | 0.294512 | − | 0.227920i | ||||
\(484\) | 27.7479 | − | 5.59051i | 1.26127 | − | 0.254114i | ||||
\(485\) | −12.1512 | + | 8.11920i | −0.551760 | + | 0.368674i | ||||
\(486\) | 19.8771 | − | 9.53423i | 0.901643 | − | 0.432482i | ||||
\(487\) | 1.59539 | + | 0.660834i | 0.0722942 | + | 0.0299453i | 0.418538 | − | 0.908199i | \(-0.362543\pi\) |
−0.346243 | + | 0.938145i | \(0.612543\pi\) | |||||||
\(488\) | −12.8967 | − | 6.83227i | −0.583807 | − | 0.309282i | ||||
\(489\) | 9.06978 | + | 7.88816i | 0.410150 | + | 0.356715i | ||||
\(490\) | 4.71356 | + | 47.2606i | 0.212937 | + | 2.13501i | ||||
\(491\) | −4.08017 | + | 20.5124i | −0.184135 | + | 0.925711i | 0.772631 | + | 0.634855i | \(0.218940\pi\) |
−0.956767 | + | 0.290856i | \(0.906060\pi\) | |||||||
\(492\) | 0.121126 | + | 1.67866i | 0.00546080 | + | 0.0756800i | ||||
\(493\) | −1.94506 | + | 2.91098i | −0.0876010 | + | 0.131104i | ||||
\(494\) | 10.8904 | + | 13.2367i | 0.489983 | + | 0.595548i | ||||
\(495\) | 36.2131 | − | 5.07126i | 1.62766 | − | 0.227936i | ||||
\(496\) | 1.94182 | − | 4.75411i | 0.0871904 | − | 0.213466i | ||||
\(497\) | 14.4582 | − | 14.4582i | 0.648538 | − | 0.648538i | ||||
\(498\) | 2.26103 | + | 5.91129i | 0.101319 | + | 0.264891i | ||||
\(499\) | 4.03715 | − | 6.04202i | 0.180727 | − | 0.270478i | −0.730034 | − | 0.683411i | \(-0.760496\pi\) |
0.910761 | + | 0.412933i | \(0.135496\pi\) | |||||||
\(500\) | 14.0344 | − | 14.1037i | 0.627637 | − | 0.630738i | ||||
\(501\) | −5.55583 | − | 20.3983i | −0.248216 | − | 0.911330i | ||||
\(502\) | −1.68831 | + | 2.06239i | −0.0753528 | + | 0.0920488i | ||||
\(503\) | −0.875009 | + | 0.362440i | −0.0390147 | + | 0.0161604i | −0.402105 | − | 0.915593i | \(-0.631721\pi\) |
0.363091 | + | 0.931754i | \(0.381721\pi\) | |||||||
\(504\) | −37.5972 | + | 9.24074i | −1.67471 | + | 0.411615i | ||||
\(505\) | −16.3923 | − | 6.78992i | −0.729449 | − | 0.302148i | ||||
\(506\) | 3.47053 | + | 6.47370i | 0.154284 | + | 0.287791i | ||||
\(507\) | −1.73132 | − | 0.990097i | −0.0768907 | − | 0.0439718i | ||||
\(508\) | −7.22027 | − | 10.7485i | −0.320348 | − | 0.476886i | ||||
\(509\) | −34.6684 | + | 6.89597i | −1.53665 | + | 0.305659i | −0.889582 | − | 0.456775i | \(-0.849005\pi\) |
−0.647067 | + | 0.762433i | \(0.724005\pi\) | |||||||
\(510\) | 9.87647 | + | 10.4326i | 0.437338 | + | 0.461962i | ||||
\(511\) | 14.8916i | 0.658766i | ||||||||
\(512\) | 20.0727 | + | 10.4445i | 0.887095 | + | 0.461588i | ||||
\(513\) | 3.34756 | − | 17.9877i | 0.147798 | − | 0.794177i | ||||
\(514\) | −5.11053 | − | 16.7727i | −0.225416 | − | 0.739813i | ||||
\(515\) | 3.85005 | + | 19.3555i | 0.169654 | + | 0.852906i | ||||
\(516\) | 3.67362 | − | 6.46074i | 0.161722 | − | 0.284418i | ||||
\(517\) | 18.5978 | − | 12.4266i | 0.817929 | − | 0.546523i | ||||
\(518\) | −50.8187 | + | 27.2437i | −2.23285 | + | 1.19702i | ||||
\(519\) | −10.3003 | + | 0.717721i | −0.452132 | + | 0.0315045i | ||||
\(520\) | 18.3461 | + | 14.9431i | 0.804531 | + | 0.655300i | ||||
\(521\) | 12.1773 | + | 29.3986i | 0.533497 | + | 1.28798i | 0.929193 | + | 0.369594i | \(0.120503\pi\) |
−0.395696 | + | 0.918381i | \(0.629497\pi\) | |||||||
\(522\) | 5.98085 | − | 1.45437i | 0.261774 | − | 0.0636561i | ||||
\(523\) | 7.29918 | − | 36.6954i | 0.319171 | − | 1.60458i | −0.404570 | − | 0.914507i | \(-0.632579\pi\) |
0.723740 | − | 0.690072i | \(-0.242421\pi\) | |||||||
\(524\) | −16.7891 | − | 16.7066i | −0.733436 | − | 0.729830i | ||||
\(525\) | −7.10747 | − | 0.905960i | −0.310195 | − | 0.0395393i | ||||
\(526\) | 30.5432 | + | 2.97024i | 1.33175 | + | 0.129509i | ||||
\(527\) | −2.19074 | − | 2.19074i | −0.0954301 | − | 0.0954301i | ||||
\(528\) | −2.58609 | − | 34.6503i | −0.112545 | − | 1.50796i | ||||
\(529\) | 15.5051 | − | 15.5051i | 0.674134 | − | 0.674134i | ||||
\(530\) | −8.30220 | + | 6.83058i | −0.360625 | + | 0.296701i | ||||
\(531\) | 14.2864 | + | 40.9746i | 0.619976 | + | 1.77815i | ||||
\(532\) | −12.2233 | + | 29.7167i | −0.529949 | + | 1.28838i | ||||
\(533\) | 1.64024 | + | 0.326263i | 0.0710466 | + | 0.0141320i | ||||
\(534\) | −8.02808 | + | 5.05193i | −0.347409 | + | 0.218619i | ||||
\(535\) | −12.2416 | + | 5.07064i | −0.529251 | + | 0.219223i | ||||
\(536\) | 19.2962 | − | 36.4239i | 0.833469 | − | 1.57327i | ||||
\(537\) | 43.3654 | − | 3.02169i | 1.87135 | − | 0.130395i | ||||
\(538\) | −4.56480 | + | 15.1151i | −0.196802 | + | 0.651660i | ||||
\(539\) | −38.5030 | − | 57.6238i | −1.65844 | − | 2.48203i | ||||
\(540\) | −0.374209 | − | 25.2542i | −0.0161034 | − | 1.08677i | ||||
\(541\) | −29.7689 | + | 5.92141i | −1.27987 | + | 0.254581i | −0.787775 | − | 0.615963i | \(-0.788767\pi\) |
−0.492091 | + | 0.870544i | \(0.663767\pi\) | |||||||
\(542\) | −10.1632 | + | 19.0704i | −0.436545 | + | 0.819145i | ||||
\(543\) | −6.52310 | + | 3.25029i | −0.279933 | + | 0.139483i | ||||
\(544\) | 10.4989 | − | 8.72500i | 0.450135 | − | 0.374081i | ||||
\(545\) | 5.42394 | 0.232336 | ||||||||
\(546\) | −1.05302 | + | 38.4566i | −0.0450653 | + | 1.64579i | ||||
\(547\) | 8.01766 | + | 40.3075i | 0.342811 | + | 1.72342i | 0.639798 | + | 0.768543i | \(0.279018\pi\) |
−0.296987 | + | 0.954881i | \(0.595982\pi\) | |||||||
\(548\) | 18.0077 | + | 11.9683i | 0.769250 | + | 0.511259i | ||||
\(549\) | 15.4547 | + | 0.885206i | 0.659590 | + | 0.0377797i | ||||
\(550\) | 1.85905 | − | 6.15577i | 0.0792703 | − | 0.262483i | ||||
\(551\) | 1.95492 | − | 4.71959i | 0.0832824 | − | 0.201061i | ||||
\(552\) | 4.73421 | − | 1.82419i | 0.201501 | − | 0.0776426i | ||||
\(553\) | 20.0687 | + | 48.4500i | 0.853406 | + | 2.06030i | ||||
\(554\) | −2.05016 | − | 20.5559i | −0.0871029 | − | 0.873337i | ||||
\(555\) | −9.88520 | − | 36.2937i | −0.419603 | − | 1.54058i | ||||
\(556\) | 5.12443 | + | 12.2857i | 0.217324 | + | 0.521032i | ||||
\(557\) | 27.4263 | + | 18.3257i | 1.16209 | + | 0.776484i | 0.978445 | − | 0.206508i | \(-0.0662099\pi\) |
0.183646 | + | 0.982992i | \(0.441210\pi\) | |||||||
\(558\) | 0.229747 | + | 5.44206i | 0.00972598 | + | 0.230381i | ||||
\(559\) | −5.22204 | − | 5.22204i | −0.220869 | − | 0.220869i | ||||
\(560\) | −8.43896 | + | 43.5461i | −0.356611 | + | 1.84016i | ||||
\(561\) | −19.8777 | − | 6.65642i | −0.839237 | − | 0.281034i | ||||
\(562\) | 27.1027 | + | 2.63566i | 1.14326 | + | 0.111179i | ||||
\(563\) | 11.9798 | + | 8.00464i | 0.504888 | + | 0.337356i | 0.781789 | − | 0.623543i | \(-0.214307\pi\) |
−0.276901 | + | 0.960899i | \(0.589307\pi\) | |||||||
\(564\) | −6.92416 | − | 13.8109i | −0.291560 | − | 0.581544i | ||||
\(565\) | 27.7312 | + | 5.51608i | 1.16666 | + | 0.232063i | ||||
\(566\) | 19.6097 | − | 23.9546i | 0.824256 | − | 1.00689i | ||||
\(567\) | 32.1627 | − | 25.5317i | 1.35070 | − | 1.07223i | ||||
\(568\) | 11.1562 | − | 6.01623i | 0.468103 | − | 0.252436i | ||||
\(569\) | 15.2958 | − | 36.9273i | 0.641233 | − | 1.54807i | −0.183785 | − | 0.982966i | \(-0.558835\pi\) |
0.825018 | − | 0.565107i | \(-0.191165\pi\) | |||||||
\(570\) | −17.1040 | − | 12.1186i | −0.716407 | − | 0.507592i | ||||
\(571\) | −8.40507 | − | 12.5791i | −0.351741 | − | 0.526418i | 0.612839 | − | 0.790208i | \(-0.290027\pi\) |
−0.964580 | + | 0.263790i | \(0.915027\pi\) | |||||||
\(572\) | −33.8797 | − | 6.65234i | −1.41658 | − | 0.278148i | ||||
\(573\) | 35.2646 | − | 27.2909i | 1.47320 | − | 1.14009i | ||||
\(574\) | 0.913746 | + | 2.99891i | 0.0381390 | + | 0.125172i | ||||
\(575\) | 0.938924 | 0.0391558 | ||||||||
\(576\) | −23.9702 | − | 1.19523i | −0.998759 | − | 0.0498013i | ||||
\(577\) | 44.0088 | 1.83211 | 0.916055 | − | 0.401053i | \(-0.131356\pi\) | ||||
0.916055 | + | 0.401053i | \(0.131356\pi\) | |||||||
\(578\) | 4.60686 | + | 15.1197i | 0.191620 | + | 0.628896i | ||||
\(579\) | −5.62181 | + | 4.35066i | −0.233635 | + | 0.180807i | ||||
\(580\) | 1.35869 | − | 6.91969i | 0.0564167 | − | 0.287324i | ||||
\(581\) | 6.54968 | + | 9.80229i | 0.271727 | + | 0.406668i | ||||
\(582\) | −12.0183 | − | 8.51528i | −0.498176 | − | 0.352970i | ||||
\(583\) | 6.00337 | − | 14.4934i | 0.248634 | − | 0.600256i | ||||
\(584\) | −2.64702 | + | 8.84361i | −0.109535 | + | 0.365951i | ||||
\(585\) | −24.2946 | − | 6.29575i | −1.00446 | − | 0.260297i | ||||
\(586\) | 9.40807 | − | 11.4926i | 0.388644 | − | 0.474756i | ||||
\(587\) | −19.1815 | − | 3.81543i | −0.791704 | − | 0.157480i | −0.217358 | − | 0.976092i | \(-0.569744\pi\) |
−0.574347 | + | 0.818612i | \(0.694744\pi\) | |||||||
\(588\) | −42.7921 | + | 21.4540i | −1.76472 | + | 0.884749i | ||||
\(589\) | 3.75879 | + | 2.51154i | 0.154878 | + | 0.103486i | ||||
\(590\) | 49.4820 | + | 4.81200i | 2.03714 | + | 0.198107i | ||||
\(591\) | 16.8011 | + | 5.62617i | 0.691106 | + | 0.231430i | ||||
\(592\) | −35.0221 | + | 7.14595i | −1.43940 | + | 0.293697i | ||||
\(593\) | −12.2686 | − | 12.2686i | −0.503811 | − | 0.503811i | 0.408809 | − | 0.912620i | \(-0.365944\pi\) |
−0.912620 | + | 0.408809i | \(0.865944\pi\) | |||||||
\(594\) | 17.8130 | + | 32.2637i | 0.730874 | + | 1.32379i | ||||
\(595\) | 22.2502 | + | 14.8671i | 0.912169 | + | 0.609492i | ||||
\(596\) | −41.4545 | + | 17.2908i | −1.69804 | + | 0.708260i | ||||
\(597\) | 7.08179 | + | 26.0009i | 0.289838 | + | 1.06415i | ||||
\(598\) | −0.500322 | − | 5.01648i | −0.0204597 | − | 0.205139i | ||||
\(599\) | 3.20238 | + | 7.73122i | 0.130846 | + | 0.315889i | 0.975701 | − | 0.219105i | \(-0.0703138\pi\) |
−0.844856 | + | 0.534994i | \(0.820314\pi\) | |||||||
\(600\) | −4.05984 | − | 1.80139i | −0.165742 | − | 0.0735414i | ||||
\(601\) | 15.3797 | − | 37.1299i | 0.627351 | − | 1.51456i | −0.215551 | − | 0.976493i | \(-0.569155\pi\) |
0.842902 | − | 0.538067i | \(-0.180845\pi\) | |||||||
\(602\) | 4.00239 | − | 13.2529i | 0.163125 | − | 0.540147i | ||||
\(603\) | −2.50007 | + | 43.6483i | −0.101811 | + | 1.77750i | ||||
\(604\) | −15.4844 | + | 23.2981i | −0.630052 | + | 0.947988i | ||||
\(605\) | 6.71035 | + | 33.7352i | 0.272815 | + | 1.37153i | ||||
\(606\) | 0.489481 | − | 17.8759i | 0.0198838 | − | 0.726159i | ||||
\(607\) | 6.63792 | 0.269425 | 0.134712 | − | 0.990885i | \(-0.456989\pi\) | ||||
0.134712 | + | 0.990885i | \(0.456989\pi\) | |||||||
\(608\) | −12.5412 | + | 15.4750i | −0.508614 | + | 0.627593i | ||||
\(609\) | 10.2620 | − | 5.11329i | 0.415837 | − | 0.207201i | ||||
\(610\) | 8.34101 | − | 15.6513i | 0.337718 | − | 0.633702i | ||||
\(611\) | −15.0566 | + | 2.99495i | −0.609126 | + | 0.121163i | ||||
\(612\) | −6.26466 | + | 13.0537i | −0.253234 | + | 0.527666i | ||||
\(613\) | 7.44936 | + | 11.1488i | 0.300877 | + | 0.450294i | 0.950845 | − | 0.309667i | \(-0.100218\pi\) |
−0.649968 | + | 0.759962i | \(0.725218\pi\) | |||||||
\(614\) | 9.64712 | − | 31.9439i | 0.389326 | − | 1.28915i | ||||
\(615\) | −2.04023 | + | 0.142163i | −0.0822701 | + | 0.00573255i | ||||
\(616\) | −19.0171 | − | 61.8668i | −0.766221 | − | 2.49268i | ||||
\(617\) | −5.73834 | + | 2.37690i | −0.231017 | + | 0.0956903i | −0.495189 | − | 0.868785i | \(-0.664901\pi\) |
0.264172 | + | 0.964476i | \(0.414901\pi\) | |||||||
\(618\) | −16.8343 | + | 10.5935i | −0.677174 | + | 0.426134i | ||||
\(619\) | −28.4168 | − | 5.65245i | −1.14217 | − | 0.227191i | −0.412477 | − | 0.910968i | \(-0.635336\pi\) |
−0.729691 | + | 0.683777i | \(0.760336\pi\) | |||||||
\(620\) | 5.77126 | + | 2.37389i | 0.231779 | + | 0.0953376i | ||||
\(621\) | −3.75783 | + | 3.85183i | −0.150797 | + | 0.154569i | ||||
\(622\) | 18.6212 | − | 15.3205i | 0.746644 | − | 0.614296i | ||||
\(623\) | −12.4936 | + | 12.4936i | −0.500547 | + | 0.500547i | ||||
\(624\) | −7.46110 | + | 22.6508i | −0.298683 | + | 0.906759i | ||||
\(625\) | 20.3019 | + | 20.3019i | 0.812074 | + | 0.812074i | ||||
\(626\) | −19.1852 | − | 1.86571i | −0.766796 | − | 0.0745689i | ||||
\(627\) | 30.3418 | + | 3.86754i | 1.21173 | + | 0.154455i | ||||
\(628\) | 22.2955 | − | 22.4056i | 0.889687 | − | 0.894083i | ||||
\(629\) | −4.20695 | + | 21.1498i | −0.167742 | + | 0.843297i | ||||
\(630\) | −11.1165 | − | 45.7148i | −0.442893 | − | 1.82132i | ||||
\(631\) | 4.28556 | + | 10.3462i | 0.170605 | + | 0.411878i | 0.985937 | − | 0.167116i | \(-0.0534455\pi\) |
−0.815332 | + | 0.578994i | \(0.803446\pi\) | |||||||
\(632\) | 3.30597 | + | 32.3400i | 0.131504 | + | 1.28642i | ||||
\(633\) | −1.59592 | + | 0.111204i | −0.0634323 | + | 0.00441994i | ||||
\(634\) | 0.145412 | − | 0.0779551i | 0.00577506 | − | 0.00309599i | ||||
\(635\) | 13.0829 | − | 8.74170i | 0.519178 | − | 0.346904i | ||||
\(636\) | −9.41937 | − | 5.35593i | −0.373502 | − | 0.212376i | ||||
\(637\) | 9.27964 | + | 46.6519i | 0.367673 | + | 1.84842i | ||||
\(638\) | 2.99912 | + | 9.84308i | 0.118736 | + | 0.389691i | ||||
\(639\) | −8.09600 | + | 10.7328i | −0.320273 | + | 0.424582i | ||||
\(640\) | −12.7520 | + | 24.3605i | −0.504069 | + | 0.962933i | ||||
\(641\) | − | 32.9687i | − | 1.30219i | −0.758998 | − | 0.651093i | \(-0.774311\pi\) | ||
0.758998 | − | 0.651093i | \(-0.225689\pi\) | |||||||
\(642\) | −9.18108 | − | 9.69803i | −0.362348 | − | 0.382751i | ||||
\(643\) | 3.22911 | − | 0.642310i | 0.127344 | − | 0.0253302i | −0.131007 | − | 0.991381i | \(-0.541821\pi\) |
0.258351 | + | 0.966051i | \(0.416821\pi\) | |||||||
\(644\) | 7.84489 | − | 5.26980i | 0.309132 | − | 0.207659i | ||||
\(645\) | 7.83992 | + | 4.48344i | 0.308696 | + | 0.176535i | ||||
\(646\) | 5.67781 | + | 10.5910i | 0.223391 | + | 0.416698i | ||||
\(647\) | 12.4698 | + | 5.16516i | 0.490238 | + | 0.203063i | 0.614088 | − | 0.789238i | \(-0.289524\pi\) |
−0.123850 | + | 0.992301i | \(0.539524\pi\) | |||||||
\(648\) | 23.6386 | − | 9.44541i | 0.928613 | − | 0.371051i | ||||
\(649\) | −67.0215 | + | 27.7612i | −2.63082 | + | 1.08972i | ||||
\(650\) | −2.79564 | + | 3.41507i | −0.109654 | + | 0.133950i | ||||
\(651\) | 2.66634 | + | 9.78950i | 0.104502 | + | 0.383681i | ||||
\(652\) | 9.83856 | + | 9.79019i | 0.385308 | + | 0.383414i | ||||
\(653\) | 2.52285 | − | 3.77572i | 0.0987269 | − | 0.147755i | −0.778818 | − | 0.627250i | \(-0.784180\pi\) |
0.877544 | + | 0.479495i | \(0.159180\pi\) | |||||||
\(654\) | 1.95297 | + | 5.10589i | 0.0763671 | + | 0.199656i | ||||
\(655\) | 20.3517 | − | 20.3517i | 0.795205 | − | 0.795205i | ||||
\(656\) | 0.00957839 | + | 1.94337i | 0.000373973 | + | 0.0758759i | ||||
\(657\) | −1.35791 | − | 9.69661i | −0.0529770 | − | 0.378301i | ||||
\(658\) | −18.2841 | − | 22.2233i | −0.712787 | − | 0.866354i | ||||
\(659\) | 13.2928 | − | 19.8941i | 0.517814 | − | 0.774963i | −0.476756 | − | 0.879036i | \(-0.658188\pi\) |
0.994570 | + | 0.104073i | \(0.0331875\pi\) | |||||||
\(660\) | 42.1139 | − | 3.03879i | 1.63928 | − | 0.118285i | ||||
\(661\) | −5.43822 | + | 27.3398i | −0.211522 | + | 1.06339i | 0.718398 | + | 0.695632i | \(0.244876\pi\) |
−0.929920 | + | 0.367761i | \(0.880124\pi\) | |||||||
\(662\) | −3.03384 | − | 30.4188i | −0.117913 | − | 1.18226i | ||||
\(663\) | 10.8560 | + | 9.44170i | 0.421614 | + | 0.366685i | ||||
\(664\) | 2.14725 | + | 6.98547i | 0.0833294 | + | 0.271089i | ||||
\(665\) | −36.0743 | − | 14.9425i | −1.39890 | − | 0.579445i | ||||
\(666\) | 30.6062 | − | 22.3736i | 1.18596 | − | 0.866960i | ||||
\(667\) | −1.24925 | + | 0.834723i | −0.0483712 | + | 0.0323206i | ||||
\(668\) | −4.82153 | − | 23.9311i | −0.186551 | − | 0.925923i | ||||
\(669\) | −8.07315 | + | 6.24773i | −0.312126 | + | 0.241551i | ||||
\(670\) | 44.2036 | + | 23.5573i | 1.70773 | + | 0.910098i | ||||
\(671\) | 25.8787i | 0.999036i | ||||||||
\(672\) | −44.0312 | + | 7.73529i | −1.69854 | + | 0.298395i | ||||
\(673\) | 12.4571i | 0.480186i | 0.970750 | + | 0.240093i | \(0.0771779\pi\) | ||||
−0.970750 | + | 0.240093i | \(0.922822\pi\) | |||||||
\(674\) | 9.74187 | − | 18.2799i | 0.375243 | − | 0.704115i | ||||
\(675\) | 4.71061 | − | 0.0581896i | 0.181311 | − | 0.00223972i | ||||
\(676\) | −1.91800 | − | 1.27474i | −0.0737693 | − | 0.0490285i | ||||
\(677\) | −10.2398 | + | 6.84204i | −0.393549 | + | 0.262961i | −0.736563 | − | 0.676369i | \(-0.763552\pi\) |
0.343014 | + | 0.939330i | \(0.388552\pi\) | |||||||
\(678\) | 4.79239 | + | 28.0912i | 0.184051 | + | 1.07884i | ||||
\(679\) | −25.3481 | − | 10.4995i | −0.972771 | − | 0.402935i | ||||
\(680\) | 10.5710 | + | 12.7841i | 0.405378 | + | 0.490247i | ||||
\(681\) | 17.0860 | − | 19.6455i | 0.654738 | − | 0.752816i | ||||
\(682\) | −9.06091 | + | 0.903696i | −0.346960 | + | 0.0346043i | ||||
\(683\) | 4.53151 | − | 22.7815i | 0.173393 | − | 0.871708i | −0.791922 | − | 0.610622i | \(-0.790919\pi\) |
0.965316 | − | 0.261086i | \(-0.0840806\pi\) | |||||||
\(684\) | 5.24944 | − | 20.4645i | 0.200717 | − | 0.782480i | ||||
\(685\) | −14.5974 | + | 21.8466i | −0.557740 | + | 0.834717i | ||||
\(686\) | −33.9766 | + | 27.9540i | −1.29723 | + | 1.06729i | ||||
\(687\) | 15.4955 | + | 5.18897i | 0.591191 | + | 0.197971i | ||||
\(688\) | 4.73262 | − | 7.15899i | 0.180429 | − | 0.272934i | ||||
\(689\) | −7.61342 | + | 7.61342i | −0.290048 | + | 0.290048i | ||||
\(690\) | 2.20253 | + | 5.75835i | 0.0838488 | + | 0.219217i | ||||
\(691\) | 14.2371 | − | 21.3073i | 0.541605 | − | 0.810569i | −0.455205 | − | 0.890387i | \(-0.650434\pi\) |
0.996809 | + | 0.0798181i | \(0.0254339\pi\) | |||||||
\(692\) | −11.9226 | + | 0.0293815i | −0.453227 | + | 0.00111692i | ||||
\(693\) | 45.6874 | + | 51.2392i | 1.73552 | + | 1.94641i | ||||
\(694\) | −5.50711 | − | 4.50822i | −0.209047 | − | 0.171130i | ||||
\(695\) | −14.9447 | + | 6.19028i | −0.566883 | + | 0.234811i | ||||
\(696\) | 7.00315 | − | 1.21251i | 0.265454 | − | 0.0459602i | ||||
\(697\) | 1.08320 | + | 0.448676i | 0.0410291 | + | 0.0169948i | ||||
\(698\) | 3.25435 | − | 1.74465i | 0.123179 | − | 0.0660358i | ||||
\(699\) | −1.83370 | + | 3.20648i | −0.0693570 | + | 0.121280i | ||||
\(700\) | −8.11838 | − | 1.59406i | −0.306846 | − | 0.0602498i | ||||
\(701\) | −25.4279 | + | 5.05792i | −0.960399 | + | 0.191035i | −0.650307 | − | 0.759672i | \(-0.725360\pi\) |
−0.310092 | + | 0.950707i | \(0.600360\pi\) | |||||||
\(702\) | −2.82103 | − | 25.1369i | −0.106473 | − | 0.948729i | ||||
\(703\) | − | 31.4650i | − | 1.18672i | ||||||
\(704\) | −0.296622 | − | 40.1209i | −0.0111794 | − | 1.51211i | ||||
\(705\) | 16.8034 | − | 8.37271i | 0.632852 | − | 0.315334i | ||||
\(706\) | −30.3948 | + | 9.26108i | −1.14392 | + | 0.348545i | ||||
\(707\) | −6.49855 | − | 32.6704i | −0.244403 | − | 1.22870i | ||||
\(708\) | 13.2869 | + | 48.3131i | 0.499351 | + | 1.81572i | ||||
\(709\) | 11.0041 | − | 7.35267i | 0.413266 | − | 0.276136i | −0.331508 | − | 0.943452i | \(-0.607557\pi\) |
0.744774 | + | 0.667317i | \(0.232557\pi\) | |||||||
\(710\) | 7.27736 | + | 13.5747i | 0.273115 | + | 0.509450i | ||||
\(711\) | −17.4856 | − | 29.7181i | −0.655761 | − | 1.11451i | ||||
\(712\) | −9.64031 | + | 5.19876i | −0.361286 | + | 0.194832i | ||||
\(713\) | −0.508809 | − | 1.22837i | −0.0190551 | − | 0.0460030i | ||||
\(714\) | −5.98382 | + | 26.2986i | −0.223939 | + | 0.984200i | ||||
\(715\) | 8.18521 | − | 41.1498i | 0.306109 | − | 1.53892i | ||||
\(716\) | 50.1953 | − | 0.123699i | 1.87589 | − | 0.00462286i | ||||
\(717\) | −0.0302717 | + | 0.237489i | −0.00113052 | + | 0.00886918i | ||||
\(718\) | 4.52610 | − | 46.5421i | 0.168913 | − | 1.73694i | ||||
\(719\) | 28.6352 | + | 28.6352i | 1.06791 | + | 1.06791i | 0.997519 | + | 0.0703926i | \(0.0224252\pi\) |
0.0703926 | + | 0.997519i | \(0.477575\pi\) | |||||||
\(720\) | 1.52420 | − | 29.1244i | 0.0568035 | − | 1.08540i | ||||
\(721\) | −26.1982 | + | 26.1982i | −0.975673 | + | 0.975673i | ||||
\(722\) | 5.93138 | + | 7.20927i | 0.220743 | + | 0.268301i | ||||
\(723\) | −27.8371 | − | 3.54829i | −1.03527 | − | 0.131962i | ||||
\(724\) | −7.76693 | + | 3.23961i | −0.288656 | + | 0.120399i | ||||
\(725\) | 1.29004 | + | 0.256605i | 0.0479110 | + | 0.00953008i | ||||
\(726\) | −29.3409 | + | 18.4637i | −1.08894 | + | 0.685253i | ||||
\(727\) | −35.2595 | + | 14.6050i | −1.30770 | + | 0.541668i | −0.924213 | − | 0.381878i | \(-0.875278\pi\) |
−0.383489 | + | 0.923545i | \(0.625278\pi\) | |||||||
\(728\) | −4.19071 | + | 44.2243i | −0.155318 | + | 1.63906i | ||||
\(729\) | −18.6144 | + | 19.5577i | −0.689424 | + | 0.724358i | ||||
\(730\) | −10.7386 | − | 3.24307i | −0.397453 | − | 0.120032i | ||||
\(731\) | −2.87643 | − | 4.30488i | −0.106389 | − | 0.159222i | ||||
\(732\) | 17.7368 | + | 2.21644i | 0.655572 | + | 0.0819218i | ||||
\(733\) | −13.1972 | + | 2.62508i | −0.487448 | + | 0.0969595i | −0.432695 | − | 0.901540i | \(-0.642437\pi\) |
−0.0547534 | + | 0.998500i | \(0.517437\pi\) | |||||||
\(734\) | −16.6773 | − | 8.88782i | −0.615572 | − | 0.328055i | ||||
\(735\) | −25.9422 | − | 52.0641i | −0.956893 | − | 1.92041i | ||||
\(736\) | 5.59553 | − | 1.73510i | 0.206254 | − | 0.0639567i | ||||
\(737\) | −73.0886 | −2.69225 | ||||||||
\(738\) | −0.868441 | − | 1.86941i | −0.0319678 | − | 0.0688139i | ||||
\(739\) | −0.290443 | − | 1.46015i | −0.0106841 | − | 0.0537126i | 0.975075 | − | 0.221873i | \(-0.0712172\pi\) |
−0.985760 | + | 0.168161i | \(0.946217\pi\) | |||||||
\(740\) | −8.57870 | − | 42.5794i | −0.315359 | − | 1.56525i | ||||
\(741\) | −18.2238 | − | 10.4217i | −0.669467 | − | 0.382850i | ||||
\(742\) | −19.3219 | − | 5.83525i | −0.709330 | − | 0.214219i | ||||
\(743\) | 20.2028 | − | 48.7739i | 0.741170 | − | 1.78934i | 0.140113 | − | 0.990135i | \(-0.455253\pi\) |
0.601056 | − | 0.799207i | \(-0.294747\pi\) | |||||||
\(744\) | −0.156662 | + | 6.28759i | −0.00574353 | + | 0.230514i | ||||
\(745\) | −20.8872 | − | 50.4262i | −0.765248 | − | 1.84747i | ||||
\(746\) | −16.9318 | + | 1.68871i | −0.619919 | + | 0.0618280i | ||||
\(747\) | −5.15863 | − | 5.78548i | −0.188745 | − | 0.211680i | ||||
\(748\) | −22.3857 | − | 9.20791i | −0.818504 | − | 0.336675i | ||||
\(749\) | −20.6836 | − | 13.8203i | −0.755761 | − | 0.504983i | ||||
\(750\) | −9.93812 | + | 22.2498i | −0.362889 | + | 0.812446i | ||||
\(751\) | −17.0382 | − | 17.0382i | −0.621734 | − | 0.621734i | 0.324240 | − | 0.945975i | \(-0.394891\pi\) |
−0.945975 | + | 0.324240i | \(0.894891\pi\) | |||||||
\(752\) | −6.90802 | − | 16.4477i | −0.251910 | − | 0.599785i | ||||
\(753\) | 1.03654 | − | 3.09537i | 0.0377737 | − | 0.112801i | ||||
\(754\) | 0.683569 | − | 7.02918i | 0.0248941 | − | 0.255987i | ||||
\(755\) | −28.2649 | − | 18.8860i | −1.02867 | − | 0.687333i | ||||
\(756\) | 39.0315 | − | 26.9249i | 1.41956 | − | 0.979250i | ||||
\(757\) | −38.5608 | − | 7.67022i | −1.40152 | − | 0.278779i | −0.564264 | − | 0.825595i | \(-0.690840\pi\) |
−0.837253 | + | 0.546816i | \(0.815840\pi\) | |||||||
\(758\) | 24.4187 | + | 19.9896i | 0.886929 | + | 0.726057i | ||||
\(759\) | −6.78800 | − | 5.90365i | −0.246389 | − | 0.214289i | ||||
\(760\) | −18.7672 | − | 15.2861i | −0.680759 | − | 0.554486i | ||||
\(761\) | 8.69399 | − | 20.9891i | 0.315157 | − | 0.760856i | −0.684341 | − | 0.729162i | \(-0.739910\pi\) |
0.999498 | − | 0.0316936i | \(-0.0100901\pi\) | |||||||
\(762\) | 12.9398 | + | 9.16815i | 0.468759 | + | 0.332127i | ||||
\(763\) | 5.65731 | + | 8.46676i | 0.204808 | + | 0.306517i | ||||
\(764\) | 42.7414 | − | 28.7115i | 1.54633 | − | 1.03875i | ||||
\(765\) | −15.8438 | − | 7.65175i | −0.572834 | − | 0.276650i | ||||
\(766\) | 5.26587 | − | 1.60447i | 0.190264 | − | 0.0579719i | ||||
\(767\) | 49.7896 | 1.79780 | ||||||||
\(768\) | −27.5236 | − | 3.23294i | −0.993172 | − | 0.116659i | ||||
\(769\) | 45.9611 | 1.65740 | 0.828701 | − | 0.559692i | \(-0.189081\pi\) | ||||
0.828701 | + | 0.559692i | \(0.189081\pi\) | |||||||
\(770\) | 75.2359 | − | 22.9238i | 2.71131 | − | 0.826117i | ||||
\(771\) | 13.1430 | + | 16.9830i | 0.473334 | + | 0.611629i | ||||
\(772\) | −6.81375 | + | 4.57713i | −0.245232 | + | 0.164735i | ||||
\(773\) | −4.35623 | − | 6.51956i | −0.156683 | − | 0.234492i | 0.744820 | − | 0.667265i | \(-0.232535\pi\) |
−0.901503 | + | 0.432773i | \(0.857535\pi\) | |||||||
\(774\) | −1.39766 | + | 8.99453i | −0.0502380 | + | 0.323302i | ||||
\(775\) | −0.445432 | + | 1.07537i | −0.0160004 | + | 0.0386284i | ||||
\(776\) | −13.1870 | − | 10.7410i | −0.473387 | − | 0.385579i | ||||
\(777\) | 46.3438 | − | 53.2860i | 1.66257 | − | 1.91162i | ||||
\(778\) | −21.2878 | − | 17.4266i | −0.763205 | − | 0.624774i | ||||
\(779\) | −1.67789 | − | 0.333752i | −0.0601165 | − | 0.0119579i | ||||
\(780\) | −27.5024 | − | 9.13437i | −0.984743 | − | 0.327063i | ||||
\(781\) | −18.6871 | − | 12.4863i | −0.668677 | − | 0.446796i | ||||
\(782\) | 0.342092 | − | 3.51775i | 0.0122332 | − | 0.125794i | ||||
\(783\) | −6.21580 | + | 4.26525i | −0.222135 | + | 0.152428i | ||||
\(784\) | −50.9619 | + | 21.4040i | −1.82007 | + | 0.764429i | ||||
\(785\) | 27.1600 | + | 27.1600i | 0.969382 | + | 0.969382i | ||||
\(786\) | 26.4862 | + | 11.8304i | 0.944731 | + | 0.421975i | ||||
\(787\) | −17.3924 | − | 11.6212i | −0.619972 | − | 0.414252i | 0.205530 | − | 0.978651i | \(-0.434108\pi\) |
−0.825502 | + | 0.564399i | \(0.809108\pi\) | |||||||
\(788\) | 18.9210 | + | 7.78276i | 0.674033 | + | 0.277249i | ||||
\(789\) | −36.2630 | + | 9.87686i | −1.29100 | + | 0.351626i | ||||
\(790\) | −39.3087 | + | 3.92048i | −1.39854 | + | 0.139484i | ||||
\(791\) | 20.3138 | + | 49.0418i | 0.722274 | + | 1.74372i | ||||
\(792\) | 18.0243 | + | 38.5502i | 0.640466 | + | 1.36982i | ||||
\(793\) | 6.79707 | − | 16.4096i | 0.241371 | − | 0.582721i | ||||
\(794\) | −36.0772 | − | 10.8954i | −1.28033 | − | 0.386662i | ||||
\(795\) | 6.53659 | − | 11.4301i | 0.231829 | − | 0.405385i | ||||
\(796\) | 6.14580 | + | 30.5040i | 0.217832 | + | 1.08118i | ||||
\(797\) | 4.65026 | + | 23.3784i | 0.164721 | + | 0.828107i | 0.971461 | + | 0.237200i | \(0.0762298\pi\) |
−0.806740 | + | 0.590906i | \(0.798770\pi\) | |||||||
\(798\) | 1.07719 | − | 39.3393i | 0.0381323 | − | 1.39259i | ||||
\(799\) | −10.7625 | −0.380751 | ||||||||
\(800\) | −4.53788 | − | 2.38972i | −0.160438 | − | 0.0844893i | ||||
\(801\) | 6.99594 | − | 9.27443i | 0.247189 | − | 0.327696i | ||||
\(802\) | 41.2980 | + | 22.0088i | 1.45828 | + | 0.777159i | ||||
\(803\) | 16.0540 | − | 3.19333i | 0.566532 | − | 0.112690i | ||||
\(804\) | −6.25982 | + | 50.0937i | −0.220767 | + | 1.76667i | ||||
\(805\) | 6.38023 | + | 9.54868i | 0.224873 | + | 0.336547i | ||||
\(806\) | 5.98284 | + | 1.80683i | 0.210737 | + | 0.0636428i | ||||
\(807\) | −1.34420 | − | 19.2912i | −0.0473183 | − | 0.679082i | ||||
\(808\) | 1.94799 | − | 20.5570i | 0.0685299 | − | 0.723192i | ||||
\(809\) | −46.1764 | + | 19.1269i | −1.62348 | + | 0.672466i | −0.994478 | − | 0.104942i | \(-0.966534\pi\) |
−0.628997 | + | 0.777408i | \(0.716534\pi\) | |||||||
\(810\) | 11.4070 | + | 28.7533i | 0.400802 | + | 1.01029i | ||||
\(811\) | −22.2468 | − | 4.42517i | −0.781192 | − | 0.155389i | −0.211644 | − | 0.977347i | \(-0.567882\pi\) |
−0.569548 | + | 0.821958i | \(0.692882\pi\) | |||||||
\(812\) | 12.2188 | − | 5.09649i | 0.428795 | − | 0.178852i | ||||
\(813\) | 3.34646 | − | 26.2537i | 0.117365 | − | 0.920758i | ||||
\(814\) | 40.2677 | + | 48.9432i | 1.41138 | + | 1.71546i | ||||
\(815\) | −11.9262 | + | 11.9262i | −0.417758 | + | 0.417758i | ||||
\(816\) | −8.22822 | + | 14.5542i | −0.288045 | + | 0.509498i | ||||
\(817\) | 5.34190 | + | 5.34190i | 0.186889 | + | 0.186889i | ||||
\(818\) | −0.411745 | + | 4.23399i | −0.0143963 | + | 0.148038i | ||||
\(819\) | −15.5122 | − | 44.4904i | −0.542040 | − | 1.55462i | ||||
\(820\) | −2.36156 | + | 0.00581974i | −0.0824693 | + | 0.000203234i | ||||
\(821\) | −2.88820 | + | 14.5200i | −0.100799 | + | 0.506750i | 0.897092 | + | 0.441843i | \(0.145675\pi\) |
−0.997891 | + | 0.0649074i | \(0.979325\pi\) | |||||||
\(822\) | −25.8216 | − | 5.87529i | −0.900632 | − | 0.204924i | ||||
\(823\) | −18.9723 | − | 45.8031i | −0.661332 | − | 1.59660i | −0.795718 | − | 0.605667i | \(-0.792906\pi\) |
0.134386 | − | 0.990929i | \(-0.457094\pi\) | |||||||
\(824\) | −20.2150 | + | 10.9014i | −0.704224 | + | 0.379769i | ||||
\(825\) | 0.547439 | + | 7.85651i | 0.0190594 | + | 0.273529i | ||||
\(826\) | 44.0995 | + | 82.2603i | 1.53442 | + | 2.86220i | ||||
\(827\) | −19.0429 | + | 12.7241i | −0.662187 | + | 0.442459i | −0.840716 | − | 0.541476i | \(-0.817866\pi\) |
0.178530 | + | 0.983934i | \(0.442866\pi\) | |||||||
\(828\) | −4.62764 | + | 4.14675i | −0.160821 | + | 0.144110i | ||||
\(829\) | 7.58948 | + | 38.1549i | 0.263593 | + | 1.32517i | 0.854928 | + | 0.518747i | \(0.173601\pi\) |
−0.591334 | + | 0.806427i | \(0.701399\pi\) | |||||||
\(830\) | −8.49499 | + | 2.58836i | −0.294865 | + | 0.0898433i | ||||
\(831\) | 11.2835 | + | 22.6452i | 0.391421 | + | 0.785553i | ||||
\(832\) | −10.3497 | + | 25.5184i | −0.358812 | + | 0.884691i | ||||
\(833\) | 33.3469i | 1.15540i | ||||||||
\(834\) | −11.2083 | − | 11.8394i | −0.388113 | − | 0.409966i | ||||
\(835\) | 29.0949 | − | 5.78734i | 1.00687 | − | 0.200279i | ||||
\(836\) | 34.6574 | + | 6.80504i | 1.19865 | + | 0.235357i | ||||
\(837\) | −2.62884 | − | 6.13126i | −0.0908661 | − | 0.211927i | ||||
\(838\) | 27.7172 | − | 14.8591i | 0.957475 | − | 0.513299i | ||||
\(839\) | 40.7567 | + | 16.8820i | 1.40708 | + | 0.582830i | 0.951578 | − | 0.307406i | \(-0.0994610\pi\) |
0.455499 | + | 0.890236i | \(0.349461\pi\) | |||||||
\(840\) | −9.26787 | − | 53.5288i | −0.319772 | − | 1.84692i | ||||
\(841\) | 24.8480 | − | 10.2924i | 0.856826 | − | 0.354909i | ||||
\(842\) | 32.2475 | + | 26.3984i | 1.11132 | + | 0.909751i | ||||
\(843\) | −32.1782 | + | 8.76429i | −1.10828 | + | 0.301858i | ||||
\(844\) | −1.84728 | + | 0.00455236i | −0.0635859 | + | 0.000156699i | ||||
\(845\) | 1.55478 | − | 2.32689i | 0.0534859 | − | 0.0800474i | ||||
\(846\) | 13.9320 | + | 12.8034i | 0.478994 | + | 0.440189i | ||||
\(847\) | −45.6615 | + | 45.6615i | −1.56895 | + | 1.56895i | ||||
\(848\) | −10.4374 | − | 6.89987i | −0.358421 | − | 0.236943i | ||||
\(849\) | −12.0394 | + | 35.9527i | −0.413192 | + | 1.23389i | ||||
\(850\) | −2.38936 | + | 1.96583i | −0.0819543 | + | 0.0674273i | ||||
\(851\) | −5.14139 | + | 7.69463i | −0.176245 | + | 0.263769i | ||||
\(852\) | −10.1584 | + | 11.7384i | −0.348021 | + | 0.402151i | ||||
\(853\) | 5.43209 | − | 27.3090i | 0.185991 | − | 0.935041i | −0.769190 | − | 0.639020i | \(-0.779340\pi\) |
0.955181 | − | 0.296021i | \(-0.0956599\pi\) | |||||||
\(854\) | 33.1315 | − | 3.30439i | 1.13374 | − | 0.113074i | ||||
\(855\) | 24.8522 | + | 6.44026i | 0.849928 | + | 0.220252i | ||||
\(856\) | −9.82666 | − | 11.8840i | −0.335868 | − | 0.406186i | ||||
\(857\) | −17.5854 | − | 7.28413i | −0.600707 | − | 0.248821i | 0.0615422 | − | 0.998104i | \(-0.480398\pi\) |
−0.662250 | + | 0.749283i | \(0.730398\pi\) | |||||||
\(858\) | 41.6841 | − | 7.11134i | 1.42307 | − | 0.242777i | ||||
\(859\) | −8.05814 | + | 5.38427i | −0.274940 | + | 0.183709i | −0.685394 | − | 0.728172i | \(-0.740370\pi\) |
0.410454 | + | 0.911881i | \(0.365370\pi\) | |||||||
\(860\) | 8.68525 | + | 5.77239i | 0.296165 | + | 0.196837i | ||||
\(861\) | −2.34993 | − | 3.03652i | −0.0800853 | − | 0.103484i | ||||
\(862\) | −0.204194 | + | 0.383154i | −0.00695486 | + | 0.0130503i | ||||
\(863\) | − | 9.58919i | − | 0.326420i | −0.986591 | − | 0.163210i | \(-0.947815\pi\) | ||
0.986591 | − | 0.163210i | \(-0.0521848\pi\) | |||||||
\(864\) | 27.9654 | − | 9.05184i | 0.951403 | − | 0.307950i | ||||
\(865\) | − | 14.4881i | − | 0.492609i | ||||||
\(866\) | −22.3056 | − | 11.8873i | −0.757974 | − | 0.403945i | ||||
\(867\) | −11.8477 | − | 15.3093i | −0.402369 | − | 0.519931i | ||||
\(868\) | 2.31393 | + | 11.4849i | 0.0785401 | + | 0.389824i | ||||
\(869\) | 47.9283 | − | 32.0247i | 1.62586 | − | 1.08636i | ||||
\(870\) | 1.45244 | + | 8.51367i | 0.0492424 | + | 0.288641i | ||||
\(871\) | 46.3452 | + | 19.1968i | 1.57035 | + | 0.650458i | ||||
\(872\) | 1.85469 | + | 6.03372i | 0.0628078 | + | 0.204327i | ||||
\(873\) | 17.4627 | + | 4.52533i | 0.591024 | + | 0.153159i | ||||
\(874\) | 0.511806 | + | 5.13163i | 0.0173121 | + | 0.173580i | ||||
\(875\) | −8.85549 | + | 44.5195i | −0.299370 | + | 1.50503i | ||||
\(876\) | −0.813681 | − | 11.2766i | −0.0274917 | − | 0.381002i | ||||
\(877\) | −0.159222 | + | 0.238293i | −0.00537654 | + | 0.00804657i | −0.834148 | − | 0.551540i | \(-0.814040\pi\) |
0.828772 | + | 0.559587i | \(0.189040\pi\) | |||||||
\(878\) | −17.7070 | − | 21.5219i | −0.597583 | − | 0.726330i | ||||
\(879\) | −5.77612 | + | 17.2489i | −0.194824 | + | 0.581791i | ||||
\(880\) | 48.7547 | − | 0.240300i | 1.64352 | − | 0.00810051i | ||||
\(881\) | 25.7727 | − | 25.7727i | 0.868304 | − | 0.868304i | −0.123981 | − | 0.992285i | \(-0.539566\pi\) |
0.992285 | + | 0.123981i | \(0.0395660\pi\) | |||||||
\(882\) | 39.6703 | − | 43.1674i | 1.33577 | − | 1.45352i | ||||
\(883\) | −6.20604 | + | 9.28800i | −0.208850 | + | 0.312566i | −0.921075 | − | 0.389385i | \(-0.872688\pi\) |
0.712225 | + | 0.701951i | \(0.247688\pi\) | |||||||
\(884\) | 11.7762 | + | 11.7183i | 0.396078 | + | 0.394130i | ||||
\(885\) | −58.7486 | + | 16.0012i | −1.97481 | + | 0.537874i | ||||
\(886\) | −13.4885 | + | 16.4772i | −0.453156 | + | 0.553562i | ||||
\(887\) | −8.62353 | + | 3.57198i | −0.289550 | + | 0.119935i | −0.522731 | − | 0.852498i | \(-0.675087\pi\) |
0.233181 | + | 0.972433i | \(0.425087\pi\) | |||||||
\(888\) | 36.9937 | − | 23.4070i | 1.24143 | − | 0.785486i | ||||
\(889\) | 27.2915 | + | 11.3045i | 0.915329 | + | 0.379142i | ||||
\(890\) | −6.28853 | − | 11.7302i | −0.210792 | − | 0.393198i | ||||
\(891\) | −34.4215 | − | 29.1981i | −1.15316 | − | 0.978174i | ||||
\(892\) | −9.78483 | + | 6.57295i | −0.327620 | + | 0.220079i | ||||
\(893\) | 15.4022 | − | 3.06370i | 0.515416 | − | 0.102523i | ||||
\(894\) | 39.9485 | − | 37.8191i | 1.33608 | − | 1.26486i | ||||
\(895\) | 60.9964i | 2.03888i | ||||||||
\(896\) | −51.3274 | + | 5.50270i | −1.71473 | + | 0.183832i | ||||
\(897\) | 2.75364 | + | 5.52635i | 0.0919414 | + | 0.184520i | ||||
\(898\) | −14.7866 | − | 48.5297i | −0.493436 | − | 1.61946i | ||||
\(899\) | −0.363371 | − | 1.82679i | −0.0121191 | − | 0.0609269i | ||||
\(900\) | 5.43161 | + | 0.297682i | 0.181054 | + | 0.00992272i | ||||
\(901\) | −6.27626 | + | 4.19367i | −0.209093 | + | 0.139711i | ||||
\(902\) | 3.03705 | − | 1.62815i | 0.101123 | − | 0.0542115i | ||||
\(903\) | 1.17859 | + | 16.9144i | 0.0392211 | + | 0.562877i | ||||
\(904\) | 3.34634 | + | 32.7350i | 0.111298 | + | 1.08875i | ||||
\(905\) | −3.91344 | − | 9.44787i | −0.130087 | − | 0.314058i | ||||
\(906\) | 7.60138 | − | 33.4077i | 0.252539 | − | 1.10990i | ||||
\(907\) | 1.62027 | − | 8.14563i | 0.0538001 | − | 0.270471i | −0.944517 | − | 0.328463i | \(-0.893470\pi\) |
0.998317 | + | 0.0579912i | \(0.0184695\pi\) | |||||||
\(908\) | 21.2059 | − | 21.3107i | 0.703742 | − | 0.707220i | ||||
\(909\) | 7.21059 | + | 20.6806i | 0.239160 | + | 0.685934i | ||||
\(910\) | −53.7277 | − | 5.22488i | −1.78106 | − | 0.173203i | ||||
\(911\) | −39.2271 | − | 39.2271i | −1.29965 | − | 1.29965i | −0.928621 | − | 0.371030i | \(-0.879005\pi\) |
−0.371030 | − | 0.928621i | \(-0.620995\pi\) | |||||||
\(912\) | 7.63236 | − | 23.1708i | 0.252733 | − | 0.767260i | ||||
\(913\) | 9.16290 | − | 9.16290i | 0.303248 | − | 0.303248i | ||||
\(914\) | −32.0815 | + | 26.3948i | −1.06116 | + | 0.873063i | ||||
\(915\) | −2.74647 | + | 21.5467i | −0.0907955 | + | 0.712312i | ||||
\(916\) | 17.4507 | + | 7.17797i | 0.576586 | + | 0.237167i | ||||
\(917\) | 52.9962 | + | 10.5416i | 1.75009 | + | 0.348114i | ||||
\(918\) | 1.49828 | − | 17.6699i | 0.0494505 | − | 0.583192i | ||||
\(919\) | 14.8613 | − | 6.15577i | 0.490230 | − | 0.203060i | −0.123854 | − | 0.992300i | \(-0.539525\pi\) |
0.614084 | + | 0.789240i | \(0.289525\pi\) | |||||||
\(920\) | 2.09169 | + | 6.80473i | 0.0689611 | + | 0.224345i | ||||
\(921\) | 2.84081 | + | 40.7695i | 0.0936078 | + | 1.34340i | ||||
\(922\) | −3.23845 | + | 10.7233i | −0.106653 | + | 0.353153i | ||||
\(923\) | 8.56986 | + | 12.8257i | 0.282080 | + | 0.422163i | ||||
\(924\) | 48.6694 | + | 62.5701i | 1.60110 | + | 2.05841i | ||||
\(925\) | 7.94588 | − | 1.58053i | 0.261259 | − | 0.0519676i | ||||
\(926\) | 0.989803 | − | 1.85729i | 0.0325270 | − | 0.0610344i | ||||
\(927\) | 14.6700 | − | 19.4478i | 0.481825 | − | 0.638749i | ||||
\(928\) | 8.16222 | − | 0.854714i | 0.267938 | − | 0.0280574i | ||||
\(929\) | −33.3606 | −1.09453 | −0.547263 | − | 0.836961i | \(-0.684330\pi\) | ||||
−0.547263 | + | 0.836961i | \(0.684330\pi\) | |||||||
\(930\) | −7.64005 | − | 0.209201i | −0.250527 | − | 0.00685998i | ||||
\(931\) | −9.49264 | − | 47.7227i | −0.311109 | − | 1.56405i | ||||
\(932\) | −2.36088 | + | 3.55222i | −0.0773331 | + | 0.116357i | ||||
\(933\) | −14.6611 | + | 25.6370i | −0.479983 | + | 0.839317i | ||||
\(934\) | 13.2612 | − | 43.9112i | 0.433921 | − | 1.43682i | ||||
\(935\) | 11.2563 | − | 27.1750i | 0.368119 | − | 0.888718i | ||||
\(936\) | −1.30388 | − | 29.1786i | −0.0426185 | − | 0.953734i | ||||
\(937\) | −10.0854 | − | 24.3482i | −0.329475 | − | 0.795422i | −0.998631 | − | 0.0523007i | \(-0.983345\pi\) |
0.669157 | − | 0.743121i | \(-0.266655\pi\) | |||||||
\(938\) | 9.33252 | + | 93.5725i | 0.304718 | + | 3.05525i | ||||
\(939\) | 22.7781 | − | 6.20400i | 0.743335 | − | 0.202460i | ||||
\(940\) | 20.0075 | − | 8.34520i | 0.652572 | − | 0.272190i | ||||
\(941\) | 36.6600 | + | 24.4954i | 1.19508 | + | 0.798528i | 0.983865 | − | 0.178911i | \(-0.0572575\pi\) |
0.211216 | + | 0.977439i | \(0.432258\pi\) | |||||||
\(942\) | −15.7880 | + | 35.3467i | −0.514402 | + | 1.15166i | ||||
\(943\) | 0.355785 | + | 0.355785i | 0.0115860 | + | 0.0115860i | ||||
\(944\) | 11.5672 | + | 56.6903i | 0.376479 | + | 1.84511i | ||||
\(945\) | 32.6016 | + | 47.5106i | 1.06053 | + | 1.54552i | ||||
\(946\) | −15.1456 | − | 1.47287i | −0.492426 | − | 0.0478872i | ||||
\(947\) | −19.7723 | − | 13.2114i | −0.642514 | − | 0.429314i | 0.191169 | − | 0.981557i | \(-0.438772\pi\) |
−0.833683 | + | 0.552243i | \(0.813772\pi\) | |||||||
\(948\) | −17.8442 | − | 35.5921i | −0.579554 | − | 1.15598i | ||||
\(949\) | −11.0185 | − | 2.19171i | −0.357675 | − | 0.0711460i | ||||
\(950\) | 2.85981 | − | 3.49346i | 0.0927844 | − | 0.113343i | ||||
\(951\) | −0.132608 | + | 0.152472i | −0.00430011 | + | 0.00494425i | ||||
\(952\) | −8.93015 | + | 29.8354i | −0.289428 | + | 0.966969i | ||||
\(953\) | −1.55273 | + | 3.74863i | −0.0502979 | + | 0.121430i | −0.947031 | − | 0.321141i | \(-0.895934\pi\) |
0.896733 | + | 0.442571i | \(0.145934\pi\) | |||||||
\(954\) | 13.1135 | + | 2.03771i | 0.424565 | + | 0.0659733i | ||||
\(955\) | 34.7615 | + | 52.0243i | 1.12486 | + | 1.68347i | ||||
\(956\) | −0.0532638 | + | 0.271267i | −0.00172267 | + | 0.00877341i | ||||
\(957\) | −7.71298 | − | 9.96651i | −0.249325 | − | 0.322172i | ||||
\(958\) | −4.61064 | − | 15.1321i | −0.148963 | − | 0.488896i | ||||
\(959\) | −49.3280 | −1.59289 | ||||||||
\(960\) | 4.01101 | − | 33.4363i | 0.129455 | − | 1.07915i | ||||
\(961\) | −29.3517 | −0.946830 | ||||||||
\(962\) | −12.6786 | − | 41.6111i | −0.408774 | − | 1.34159i | ||||
\(963\) | 14.7282 | + | 7.11299i | 0.474611 | + | 0.229213i | ||||
\(964\) | −31.7965 | − | 6.24329i | −1.02410 | − | 0.201083i | ||||
\(965\) | −5.54161 | − | 8.29360i | −0.178391 | − | 0.266981i | ||||
\(966\) | −6.69147 | + | 9.44424i | −0.215295 | + | 0.303863i | ||||
\(967\) | 13.3757 | − | 32.2918i | 0.430134 | − | 1.03844i | −0.549110 | − | 0.835750i | \(-0.685033\pi\) |
0.979244 | − | 0.202685i | \(-0.0649667\pi\) | |||||||
\(968\) | −35.2332 | + | 19.0003i | −1.13244 | + | 0.610694i | ||||
\(969\) | −11.1052 | − | 9.65842i | −0.356751 | − | 0.310273i | ||||
\(970\) | 13.0917 | − | 15.9924i | 0.420348 | − | 0.513485i | ||||
\(971\) | −32.1851 | − | 6.40201i | −1.03287 | − | 0.205450i | −0.350579 | − | 0.936533i | \(-0.614015\pi\) |
−0.682289 | + | 0.731083i | \(0.739015\pi\) | |||||||
\(972\) | −22.9600 | + | 21.0912i | −0.736443 | + | 0.676500i | ||||
\(973\) | −25.2507 | − | 16.8720i | −0.809499 | − | 0.540890i | ||||
\(974\) | −2.43066 | − | 0.236375i | −0.0778833 | − | 0.00757395i | ||||
\(975\) | 1.71639 | − | 5.12557i | 0.0549685 | − | 0.164149i | ||||
\(976\) | 20.2630 | + | 3.92684i | 0.648604 | + | 0.125695i | ||||
\(977\) | −6.05699 | − | 6.05699i | −0.193780 | − | 0.193780i | 0.603547 | − | 0.797327i | \(-0.293754\pi\) |
−0.797327 | + | 0.603547i | \(0.793754\pi\) | |||||||
\(978\) | −15.5211 | − | 6.93270i | −0.496311 | − | 0.221683i | ||||
\(979\) | 16.1479 | + | 10.7897i | 0.516090 | + | 0.344841i | ||||
\(980\) | −25.8570 | − | 61.9917i | −0.825971 | − | 1.98025i | ||||
\(981\) | −4.45578 | − | 4.99723i | −0.142262 | − | 0.159549i | ||||
\(982\) | −2.93534 | − | 29.4312i | −0.0936705 | − | 0.939187i | ||||
\(983\) | 16.6301 | + | 40.1487i | 0.530419 | + | 1.28054i | 0.931246 | + | 0.364391i | \(0.118723\pi\) |
−0.400827 | + | 0.916154i | \(0.631277\pi\) | |||||||
\(984\) | −0.855793 | − | 2.22099i | −0.0272817 | − | 0.0708025i | ||||
\(985\) | −9.51407 | + | 22.9690i | −0.303143 | + | 0.731853i | ||||
\(986\) | 1.43141 | − | 4.73975i | 0.0455854 | − | 0.150944i | ||||
\(987\) | 30.5961 | + | 17.4971i | 0.973886 | + | 0.556939i | ||||
\(988\) | −20.1887 | − | 13.4178i | −0.642289 | − | 0.426878i | ||||
\(989\) | −0.433471 | − | 2.17921i | −0.0137836 | − | 0.0692948i | ||||
\(990\) | −46.8992 | + | 21.7872i | −1.49055 | + | 0.692443i | ||||
\(991\) | 32.0265 | 1.01736 | 0.508678 | − | 0.860957i | \(-0.330134\pi\) | ||||
0.508678 | + | 0.860957i | \(0.330134\pi\) | |||||||
\(992\) | −0.667312 | + | 7.23182i | −0.0211872 | + | 0.229610i | ||||
\(993\) | 16.6974 | + | 33.5105i | 0.529877 | + | 1.06342i | ||||
\(994\) | −13.5996 | + | 25.5187i | −0.431354 | + | 0.809405i | ||||
\(995\) | −37.0860 | + | 7.37687i | −1.17571 | + | 0.233863i | ||||
\(996\) | −5.49533 | − | 7.06488i | −0.174126 | − | 0.223859i | ||||
\(997\) | −5.93991 | − | 8.88970i | −0.188119 | − | 0.281540i | 0.725407 | − | 0.688320i | \(-0.241651\pi\) |
−0.913526 | + | 0.406780i | \(0.866651\pi\) | |||||||
\(998\) | −2.97103 | + | 9.83778i | −0.0940462 | + | 0.311410i | ||||
\(999\) | −25.3176 | + | 38.9229i | −0.801015 | + | 1.23146i |
(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 | 192.2.s.a.107.3 | ✓ | 240 | |
3.2 | odd | 2 | inner | 192.2.s.a.107.28 | yes | 240 | |
4.3 | odd | 2 | 768.2.s.a.335.7 | 240 | |||
12.11 | even | 2 | 768.2.s.a.335.3 | 240 | |||
64.3 | odd | 16 | inner | 192.2.s.a.131.28 | yes | 240 | |
64.61 | even | 16 | 768.2.s.a.431.3 | 240 | |||
192.125 | odd | 16 | 768.2.s.a.431.7 | 240 | |||
192.131 | even | 16 | inner | 192.2.s.a.131.3 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.2.s.a.107.3 | ✓ | 240 | 1.1 | even | 1 | trivial | |
192.2.s.a.107.28 | yes | 240 | 3.2 | odd | 2 | inner | |
192.2.s.a.131.3 | yes | 240 | 192.131 | even | 16 | inner | |
192.2.s.a.131.28 | yes | 240 | 64.3 | odd | 16 | inner | |
768.2.s.a.335.3 | 240 | 12.11 | even | 2 | |||
768.2.s.a.335.7 | 240 | 4.3 | odd | 2 | |||
768.2.s.a.431.3 | 240 | 64.61 | even | 16 | |||
768.2.s.a.431.7 | 240 | 192.125 | odd | 16 |