Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [270,2,Mod(23,270)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(270, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([22, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("270.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 270 = 2 \cdot 3^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 270.r (of order \(36\), degree \(12\), 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: | \(2.15596085457\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 137.13 | ||
Character | \(\chi\) | \(=\) | 270.137 |
Dual form | 270.2.r.a.203.13 |
$q$-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 \(\left(\mathbb{Z}/270\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(217\) |
\(\chi(n)\) | \(e\left(\frac{1}{18}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.573576 | + | 0.819152i | 0.405580 | + | 0.579228i | ||||
\(3\) | −0.308872 | − | 1.70429i | −0.178327 | − | 0.983971i | ||||
\(4\) | −0.342020 | + | 0.939693i | −0.171010 | + | 0.469846i | ||||
\(5\) | −2.07393 | − | 0.835951i | −0.927490 | − | 0.373849i | ||||
\(6\) | 1.21891 | − | 1.23055i | 0.497618 | − | 0.502371i | ||||
\(7\) | −3.83305 | − | 1.78738i | −1.44876 | − | 0.675567i | −0.470393 | − | 0.882457i | \(-0.655888\pi\) |
−0.978364 | + | 0.206890i | \(0.933666\pi\) | |||||||
\(8\) | −0.965926 | + | 0.258819i | −0.341506 | + | 0.0915064i | ||||
\(9\) | −2.80920 | + | 1.05281i | −0.936399 | + | 0.350938i | ||||
\(10\) | −0.504786 | − | 2.17835i | −0.159627 | − | 0.688853i | ||||
\(11\) | 3.34414 | − | 3.98539i | 1.00830 | − | 1.20164i | 0.0289216 | − | 0.999582i | \(-0.490793\pi\) |
0.979374 | − | 0.202058i | \(-0.0647629\pi\) | |||||||
\(12\) | 1.70715 | + | 0.292656i | 0.492811 | + | 0.0844825i | ||||
\(13\) | 0.307904 | + | 0.215597i | 0.0853972 | + | 0.0597958i | 0.615495 | − | 0.788141i | \(-0.288956\pi\) |
−0.530098 | + | 0.847936i | \(0.677845\pi\) | |||||||
\(14\) | −0.734411 | − | 4.16505i | −0.196280 | − | 1.11316i | ||||
\(15\) | −0.784123 | + | 3.79278i | −0.202460 | + | 0.979291i | ||||
\(16\) | −0.766044 | − | 0.642788i | −0.191511 | − | 0.160697i | ||||
\(17\) | −5.90088 | − | 1.58114i | −1.43117 | − | 0.383482i | −0.541739 | − | 0.840546i | \(-0.682234\pi\) |
−0.889433 | + | 0.457065i | \(0.848901\pi\) | |||||||
\(18\) | −2.47370 | − | 1.69729i | −0.583057 | − | 0.400055i | ||||
\(19\) | 2.93211 | + | 1.69286i | 0.672672 | + | 0.388368i | 0.797088 | − | 0.603863i | \(-0.206372\pi\) |
−0.124416 | + | 0.992230i | \(0.539706\pi\) | |||||||
\(20\) | 1.49486 | − | 1.66294i | 0.334262 | − | 0.371846i | ||||
\(21\) | −1.86229 | + | 7.08470i | −0.406385 | + | 1.54601i | ||||
\(22\) | 5.18276 | + | 0.453432i | 1.10497 | + | 0.0966721i | ||||
\(23\) | 0.472247 | + | 1.01274i | 0.0984704 | + | 0.211170i | 0.949372 | − | 0.314155i | \(-0.101721\pi\) |
−0.850901 | + | 0.525326i | \(0.823943\pi\) | |||||||
\(24\) | 0.739450 | + | 1.56627i | 0.150940 | + | 0.319714i | ||||
\(25\) | 3.60237 | + | 3.46741i | 0.720474 | + | 0.693482i | ||||
\(26\) | 0.375881i | 0.0737164i | ||||||||
\(27\) | 2.66198 | + | 4.46249i | 0.512298 | + | 0.858808i | ||||
\(28\) | 2.99057 | − | 2.99057i | 0.565165 | − | 0.565165i | ||||
\(29\) | 1.75816 | − | 9.97103i | 0.326483 | − | 1.85157i | −0.172563 | − | 0.984999i | \(-0.555205\pi\) |
0.499045 | − | 0.866576i | \(-0.333684\pi\) | |||||||
\(30\) | −3.55661 | + | 1.53313i | −0.649346 | + | 0.279910i | ||||
\(31\) | −3.35678 | − | 1.22177i | −0.602896 | − | 0.219436i | 0.0224959 | − | 0.999747i | \(-0.492839\pi\) |
−0.625392 | + | 0.780311i | \(0.715061\pi\) | |||||||
\(32\) | 0.0871557 | − | 0.996195i | 0.0154071 | − | 0.176104i | ||||
\(33\) | −7.82516 | − | 4.46840i | −1.36219 | − | 0.777848i | ||||
\(34\) | −2.08941 | − | 5.74062i | −0.358331 | − | 0.984508i | ||||
\(35\) | 6.45532 | + | 6.91115i | 1.09115 | + | 1.16820i | ||||
\(36\) | −0.0285197 | − | 2.99986i | −0.00475329 | − | 0.499977i | ||||
\(37\) | −1.51118 | + | 5.63980i | −0.248436 | + | 0.927178i | 0.723188 | + | 0.690651i | \(0.242676\pi\) |
−0.971625 | + | 0.236527i | \(0.923991\pi\) | |||||||
\(38\) | 0.295084 | + | 3.37283i | 0.0478690 | + | 0.547145i | ||||
\(39\) | 0.272336 | − | 0.591349i | 0.0436087 | − | 0.0946916i | ||||
\(40\) | 2.21962 | + | 0.270694i | 0.350953 | + | 0.0428005i | ||||
\(41\) | 4.77146 | − | 0.841337i | 0.745177 | − | 0.131395i | 0.211848 | − | 0.977303i | \(-0.432052\pi\) |
0.533329 | + | 0.845908i | \(0.320941\pi\) | |||||||
\(42\) | −6.87161 | + | 2.53812i | −1.06031 | + | 0.391640i | ||||
\(43\) | 6.52010 | − | 0.570435i | 0.994306 | − | 0.0869905i | 0.421626 | − | 0.906770i | \(-0.361459\pi\) |
0.572680 | + | 0.819779i | \(0.305904\pi\) | |||||||
\(44\) | 2.60128 | + | 4.50554i | 0.392157 | + | 0.679236i | ||||
\(45\) | 6.70618 | + | 0.164889i | 0.999698 | + | 0.0245801i | ||||
\(46\) | −0.558716 | + | 0.967725i | −0.0823782 | + | 0.142683i | ||||
\(47\) | 3.10175 | − | 6.65173i | 0.452437 | − | 0.970254i | −0.539318 | − | 0.842102i | \(-0.681318\pi\) |
0.991755 | − | 0.128152i | \(-0.0409044\pi\) | |||||||
\(48\) | −0.858886 | + | 1.50410i | −0.123969 | + | 0.217098i | ||||
\(49\) | 6.99804 | + | 8.33994i | 0.999721 | + | 1.19142i | ||||
\(50\) | −0.774099 | + | 4.93971i | −0.109474 | + | 0.698581i | ||||
\(51\) | −0.872094 | + | 10.5452i | −0.122118 | + | 1.47662i | ||||
\(52\) | −0.307904 | + | 0.215597i | −0.0426986 | + | 0.0298979i | ||||
\(53\) | −6.39299 | − | 6.39299i | −0.878144 | − | 0.878144i | 0.115198 | − | 0.993343i | \(-0.463250\pi\) |
−0.993343 | + | 0.115198i | \(0.963250\pi\) | |||||||
\(54\) | −2.12861 | + | 4.74015i | −0.289668 | + | 0.645053i | ||||
\(55\) | −10.2671 | + | 5.46988i | −1.38441 | + | 0.737558i | ||||
\(56\) | 4.16505 | + | 0.734411i | 0.556579 | + | 0.0981398i | ||||
\(57\) | 1.97947 | − | 5.52004i | 0.262187 | − | 0.731147i | ||||
\(58\) | 9.17623 | − | 4.27895i | 1.20490 | − | 0.561853i | ||||
\(59\) | −2.30891 | + | 1.93741i | −0.300595 | + | 0.252229i | −0.780592 | − | 0.625041i | \(-0.785082\pi\) |
0.479997 | + | 0.877270i | \(0.340638\pi\) | |||||||
\(60\) | −3.29586 | − | 2.03404i | −0.425493 | − | 0.262593i | ||||
\(61\) | −7.18421 | + | 2.61484i | −0.919844 | + | 0.334796i | −0.758176 | − | 0.652049i | \(-0.773909\pi\) |
−0.161668 | + | 0.986845i | \(0.551687\pi\) | |||||||
\(62\) | −0.924557 | − | 3.45049i | −0.117419 | − | 0.438213i | ||||
\(63\) | 12.6496 | + | 0.985615i | 1.59370 | + | 0.124176i | ||||
\(64\) | 0.866025 | − | 0.500000i | 0.108253 | − | 0.0625000i | ||||
\(65\) | −0.458343 | − | 0.704525i | −0.0568505 | − | 0.0873856i | ||||
\(66\) | −0.828029 | − | 8.97296i | −0.101923 | − | 1.10450i | ||||
\(67\) | −0.139953 | + | 0.199873i | −0.0170979 | + | 0.0244184i | −0.827610 | − | 0.561304i | \(-0.810300\pi\) |
0.810512 | + | 0.585722i | \(0.199189\pi\) | |||||||
\(68\) | 3.50400 | − | 5.00423i | 0.424922 | − | 0.606852i | ||||
\(69\) | 1.58013 | − | 1.11765i | 0.190226 | − | 0.134549i | ||||
\(70\) | −1.95866 | + | 9.25196i | −0.234105 | + | 1.10582i | ||||
\(71\) | 0.0530319 | − | 0.0306180i | 0.00629373 | − | 0.00363369i | −0.496850 | − | 0.867837i | \(-0.665510\pi\) |
0.503144 | + | 0.864203i | \(0.332177\pi\) | |||||||
\(72\) | 2.44099 | − | 1.74401i | 0.287673 | − | 0.205534i | ||||
\(73\) | −1.71131 | − | 6.38669i | −0.200294 | − | 0.747506i | −0.990833 | − | 0.135094i | \(-0.956866\pi\) |
0.790539 | − | 0.612412i | \(-0.209800\pi\) | |||||||
\(74\) | −5.48663 | + | 1.99697i | −0.637808 | + | 0.232143i | ||||
\(75\) | 4.79679 | − | 7.21046i | 0.553886 | − | 0.832593i | ||||
\(76\) | −2.59360 | + | 2.17629i | −0.297507 | + | 0.249638i | ||||
\(77\) | −19.9417 | + | 9.29895i | −2.27256 | + | 1.05971i | ||||
\(78\) | 0.640610 | − | 0.116099i | 0.0725348 | − | 0.0131457i | ||||
\(79\) | 5.15835 | + | 0.909556i | 0.580360 | + | 0.102333i | 0.456119 | − | 0.889919i | \(-0.349239\pi\) |
0.124241 | + | 0.992252i | \(0.460350\pi\) | |||||||
\(80\) | 1.05138 | + | 1.97347i | 0.117548 | + | 0.220641i | ||||
\(81\) | 6.78317 | − | 5.91512i | 0.753685 | − | 0.657236i | ||||
\(82\) | 3.42598 | + | 3.42598i | 0.378336 | + | 0.378336i | ||||
\(83\) | −3.91233 | + | 2.73944i | −0.429434 | + | 0.300693i | −0.768238 | − | 0.640164i | \(-0.778866\pi\) |
0.338804 | + | 0.940857i | \(0.389978\pi\) | |||||||
\(84\) | −6.02050 | − | 4.17309i | −0.656890 | − | 0.455321i | ||||
\(85\) | 10.9163 | + | 8.21201i | 1.18403 | + | 0.890717i | ||||
\(86\) | 4.20705 | + | 5.01377i | 0.453658 | + | 0.540648i | ||||
\(87\) | −17.5366 | + | 0.0833582i | −1.88012 | + | 0.00893694i | ||||
\(88\) | −2.19869 | + | 4.71511i | −0.234382 | + | 0.502633i | ||||
\(89\) | −4.63875 | + | 8.03454i | −0.491706 | + | 0.851660i | −0.999954 | − | 0.00955058i | \(-0.996960\pi\) |
0.508248 | + | 0.861211i | \(0.330293\pi\) | |||||||
\(90\) | 3.71144 | + | 5.58795i | 0.391220 | + | 0.589022i | ||||
\(91\) | −0.794859 | − | 1.37674i | −0.0833238 | − | 0.144321i | ||||
\(92\) | −1.11318 | + | 0.0973907i | −0.116057 | + | 0.0101537i | ||||
\(93\) | −1.04543 | + | 6.09830i | −0.108406 | + | 0.632364i | ||||
\(94\) | 7.22787 | − | 1.27447i | 0.745497 | − | 0.131451i | ||||
\(95\) | −4.66585 | − | 5.96196i | −0.478706 | − | 0.611685i | ||||
\(96\) | −1.72472 | + | 0.159158i | −0.176029 | + | 0.0162440i | ||||
\(97\) | −1.36492 | − | 15.6011i | −0.138587 | − | 1.58405i | −0.673527 | − | 0.739163i | \(-0.735221\pi\) |
0.534940 | − | 0.844890i | \(-0.320334\pi\) | |||||||
\(98\) | −2.81777 | + | 10.5161i | −0.284638 | + | 1.06228i | ||||
\(99\) | −5.19847 | + | 14.7165i | −0.522465 | + | 1.47906i | ||||
\(100\) | −4.49038 | + | 2.19920i | −0.449038 | + | 0.219920i | ||||
\(101\) | −3.00976 | − | 8.26924i | −0.299482 | − | 0.822820i | −0.994587 | − | 0.103912i | \(-0.966864\pi\) |
0.695104 | − | 0.718909i | \(-0.255358\pi\) | |||||||
\(102\) | −9.13830 | + | 5.33408i | −0.904827 | + | 0.528152i | ||||
\(103\) | −0.000152761 | 0.00174607i | −1.50520e−5 | 0.000172045i | −0.996202 | − | 0.0870697i | \(-0.972250\pi\) | ||
0.996187 | + | 0.0872418i | \(0.0278053\pi\) | |||||||
\(104\) | −0.353213 | − | 0.128559i | −0.0346354 | − | 0.0126062i | ||||
\(105\) | 9.78472 | − | 13.1364i | 0.954891 | − | 1.28198i | ||||
\(106\) | 1.56996 | − | 8.90369i | 0.152488 | − | 0.864803i | ||||
\(107\) | 7.92458 | − | 7.92458i | 0.766098 | − | 0.766098i | −0.211319 | − | 0.977417i | \(-0.567776\pi\) |
0.977417 | + | 0.211319i | \(0.0677759\pi\) | |||||||
\(108\) | −5.10382 | + | 0.975180i | −0.491116 | + | 0.0938367i | ||||
\(109\) | 2.21477i | 0.212137i | 0.994359 | + | 0.106068i | \(0.0338262\pi\) | ||||
−0.994359 | + | 0.106068i | \(0.966174\pi\) | |||||||
\(110\) | −10.3696 | − | 5.27292i | −0.988705 | − | 0.502753i | ||||
\(111\) | 10.0786 | + | 0.833510i | 0.956619 | + | 0.0791132i | ||||
\(112\) | 1.78738 | + | 3.83305i | 0.168892 | + | 0.362189i | ||||
\(113\) | 1.25379 | + | 0.109693i | 0.117947 | + | 0.0103190i | 0.145976 | − | 0.989288i | \(-0.453368\pi\) |
−0.0280294 | + | 0.999607i | \(0.508923\pi\) | |||||||
\(114\) | 5.65713 | − | 1.54468i | 0.529838 | − | 0.144673i | ||||
\(115\) | −0.132809 | − | 2.49512i | −0.0123845 | − | 0.232671i | ||||
\(116\) | 8.76838 | + | 5.06243i | 0.814124 | + | 0.470034i | ||||
\(117\) | −1.09195 | − | 0.281488i | −0.100950 | − | 0.0260236i | ||||
\(118\) | −2.91137 | − | 0.780099i | −0.268013 | − | 0.0718139i | ||||
\(119\) | 19.7923 | + | 16.6077i | 1.81435 | + | 1.52242i | ||||
\(120\) | −0.224238 | − | 3.86649i | −0.0204701 | − | 0.352960i | ||||
\(121\) | −2.78993 | − | 15.8225i | −0.253630 | − | 1.43841i | ||||
\(122\) | −6.26265 | − | 4.38515i | −0.566993 | − | 0.397013i | ||||
\(123\) | −2.90765 | − | 7.87208i | −0.262174 | − | 0.709801i | ||||
\(124\) | 2.29618 | − | 2.73648i | 0.206203 | − | 0.245743i | ||||
\(125\) | −4.57248 | − | 10.2026i | −0.408975 | − | 0.912545i | ||||
\(126\) | 6.44813 | + | 10.9273i | 0.574445 | + | 0.973477i | ||||
\(127\) | 7.23174 | − | 1.93774i | 0.641713 | − | 0.171947i | 0.0767340 | − | 0.997052i | \(-0.475551\pi\) |
0.564979 | + | 0.825105i | \(0.308884\pi\) | |||||||
\(128\) | 0.906308 | + | 0.422618i | 0.0801070 | + | 0.0373545i | ||||
\(129\) | −2.98606 | − | 10.9359i | −0.262908 | − | 0.962856i | ||||
\(130\) | 0.314218 | − | 0.779552i | 0.0275588 | − | 0.0683712i | ||||
\(131\) | 4.22294 | − | 11.6024i | 0.368960 | − | 1.01371i | −0.606797 | − | 0.794856i | \(-0.707546\pi\) |
0.975758 | − | 0.218853i | \(-0.0702317\pi\) | |||||||
\(132\) | 6.87528 | − | 5.82496i | 0.598417 | − | 0.506998i | ||||
\(133\) | −8.21316 | − | 11.7296i | −0.712171 | − | 1.01709i | ||||
\(134\) | −0.244000 | −0.0210784 | ||||||||
\(135\) | −1.79033 | − | 11.4802i | −0.154087 | − | 0.988057i | ||||
\(136\) | 6.10904 | 0.523846 | ||||||||
\(137\) | 7.28471 | + | 10.4036i | 0.622374 | + | 0.888843i | 0.999300 | − | 0.0374006i | \(-0.0119078\pi\) |
−0.376926 | + | 0.926243i | \(0.623019\pi\) | |||||||
\(138\) | 1.82185 | + | 0.653310i | 0.155087 | + | 0.0556135i | ||||
\(139\) | −1.49351 | + | 4.10338i | −0.126678 | + | 0.348045i | −0.986777 | − | 0.162082i | \(-0.948179\pi\) |
0.860099 | + | 0.510126i | \(0.170401\pi\) | |||||||
\(140\) | −8.70220 | + | 3.70226i | −0.735471 | + | 0.312898i | ||||
\(141\) | −12.2945 | − | 3.23175i | −1.03538 | − | 0.272162i | ||||
\(142\) | 0.0554986 | + | 0.0258794i | 0.00465734 | + | 0.00217175i | ||||
\(143\) | 1.88891 | − | 0.506132i | 0.157959 | − | 0.0423249i | ||||
\(144\) | 2.82870 | + | 0.999214i | 0.235725 | + | 0.0832679i | ||||
\(145\) | −11.9816 | + | 19.2095i | −0.995018 | + | 1.59526i | ||||
\(146\) | 4.25011 | − | 5.06508i | 0.351741 | − | 0.419189i | ||||
\(147\) | 12.0522 | − | 14.5027i | 0.994046 | − | 1.19616i | ||||
\(148\) | −4.78283 | − | 3.34897i | −0.393146 | − | 0.275284i | ||||
\(149\) | −0.130359 | − | 0.739301i | −0.0106794 | − | 0.0605659i | 0.979002 | − | 0.203849i | \(-0.0653452\pi\) |
−0.989682 | + | 0.143283i | \(0.954234\pi\) | |||||||
\(150\) | 8.65779 | − | 0.206451i | 0.706906 | − | 0.0168567i | ||||
\(151\) | 1.91410 | + | 1.60612i | 0.155767 | + | 0.130704i | 0.717340 | − | 0.696723i | \(-0.245359\pi\) |
−0.561573 | + | 0.827427i | \(0.689804\pi\) | |||||||
\(152\) | −3.27034 | − | 0.876286i | −0.265260 | − | 0.0710762i | ||||
\(153\) | 18.2414 | − | 1.77081i | 1.47473 | − | 0.143161i | ||||
\(154\) | −19.0553 | − | 11.0016i | −1.53552 | − | 0.886534i | ||||
\(155\) | 5.94040 | + | 5.33997i | 0.477144 | + | 0.428917i | ||||
\(156\) | 0.462542 | + | 0.458165i | 0.0370330 | + | 0.0366826i | ||||
\(157\) | −6.79890 | − | 0.594827i | −0.542611 | − | 0.0474723i | −0.187444 | − | 0.982275i | \(-0.560020\pi\) |
−0.355167 | + | 0.934803i | \(0.615576\pi\) | |||||||
\(158\) | 2.21364 | + | 4.74717i | 0.176108 | + | 0.377665i | ||||
\(159\) | −8.92088 | + | 12.8701i | −0.707471 | + | 1.02067i | ||||
\(160\) | −1.01353 | + | 1.99318i | −0.0801262 | + | 0.157575i | ||||
\(161\) | − | 4.72596i | − | 0.372458i | ||||||
\(162\) | 8.73605 | + | 2.16367i | 0.686369 | + | 0.169994i | ||||
\(163\) | −0.670477 | + | 0.670477i | −0.0525158 | + | 0.0525158i | −0.732877 | − | 0.680361i | \(-0.761823\pi\) |
0.680361 | + | 0.732877i | \(0.261823\pi\) | |||||||
\(164\) | −0.841337 | + | 4.77146i | −0.0656974 | + | 0.372588i | ||||
\(165\) | 12.4935 | + | 15.8086i | 0.972615 | + | 1.23070i | ||||
\(166\) | −4.48804 | − | 1.63351i | −0.348340 | − | 0.126785i | ||||
\(167\) | 0.437147 | − | 4.99662i | 0.0338275 | − | 0.386650i | −0.960342 | − | 0.278824i | \(-0.910055\pi\) |
0.994170 | − | 0.107826i | \(-0.0343890\pi\) | |||||||
\(168\) | −0.0348200 | − | 7.32529i | −0.00268642 | − | 0.565158i | ||||
\(169\) | −4.39794 | − | 12.0832i | −0.338303 | − | 0.929480i | ||||
\(170\) | −0.465578 | + | 13.6523i | −0.0357082 | + | 1.04708i | ||||
\(171\) | −10.0191 | − | 1.66859i | −0.766183 | − | 0.127601i | ||||
\(172\) | −1.69397 | + | 6.32199i | −0.129164 | + | 0.482047i | ||||
\(173\) | −0.494717 | − | 5.65464i | −0.0376127 | − | 0.429915i | −0.991533 | − | 0.129855i | \(-0.958549\pi\) |
0.953920 | − | 0.300060i | \(-0.0970067\pi\) | |||||||
\(174\) | −10.1268 | − | 14.3173i | −0.767714 | − | 1.08539i | ||||
\(175\) | −7.61050 | − | 19.7296i | −0.575299 | − | 1.49142i | ||||
\(176\) | −5.12351 | + | 0.903414i | −0.386199 | + | 0.0680974i | ||||
\(177\) | 4.01506 | + | 3.33664i | 0.301790 | + | 0.250797i | ||||
\(178\) | −9.24219 | + | 0.808587i | −0.692731 | + | 0.0606061i | ||||
\(179\) | 7.12420 | + | 12.3395i | 0.532488 | + | 0.922296i | 0.999280 | + | 0.0379289i | \(0.0120760\pi\) |
−0.466793 | + | 0.884367i | \(0.654591\pi\) | |||||||
\(180\) | −2.44859 | + | 6.24535i | −0.182507 | + | 0.465501i | ||||
\(181\) | −6.55430 | + | 11.3524i | −0.487177 | + | 0.843816i | −0.999891 | − | 0.0147438i | \(-0.995307\pi\) |
0.512714 | + | 0.858559i | \(0.328640\pi\) | |||||||
\(182\) | 0.671843 | − | 1.44077i | 0.0498004 | − | 0.106797i | ||||
\(183\) | 6.67544 | + | 11.4363i | 0.493463 | + | 0.845397i | ||||
\(184\) | −0.718272 | − | 0.856003i | −0.0529517 | − | 0.0631054i | ||||
\(185\) | 7.84868 | − | 10.4333i | 0.577046 | − | 0.767070i | ||||
\(186\) | −5.59507 | + | 2.64147i | −0.410250 | + | 0.193682i | ||||
\(187\) | −26.0348 | + | 18.2297i | −1.90385 | + | 1.33309i | ||||
\(188\) | 5.18972 | + | 5.18972i | 0.378499 | + | 0.378499i | ||||
\(189\) | −2.22733 | − | 21.8630i | −0.162014 | − | 1.59030i | ||||
\(190\) | 2.20753 | − | 7.24168i | 0.160151 | − | 0.525367i | ||||
\(191\) | 1.41468 | + | 0.249446i | 0.102363 | + | 0.0180493i | 0.224595 | − | 0.974452i | \(-0.427894\pi\) |
−0.122232 | + | 0.992502i | \(0.539005\pi\) | |||||||
\(192\) | −1.11964 | − | 1.32152i | −0.0808027 | − | 0.0953725i | ||||
\(193\) | 17.8178 | − | 8.30860i | 1.28256 | − | 0.598066i | 0.342639 | − | 0.939467i | \(-0.388679\pi\) |
0.939918 | + | 0.341401i | \(0.110902\pi\) | |||||||
\(194\) | 11.9968 | − | 10.0665i | 0.861320 | − | 0.722733i | ||||
\(195\) | −1.05914 | + | 0.998757i | −0.0758469 | + | 0.0715225i | ||||
\(196\) | −10.2305 | + | 3.72358i | −0.730747 | + | 0.265970i | ||||
\(197\) | 5.11551 | + | 19.0913i | 0.364465 | + | 1.36020i | 0.868145 | + | 0.496311i | \(0.165312\pi\) |
−0.503680 | + | 0.863890i | \(0.668021\pi\) | |||||||
\(198\) | −15.0368 | + | 4.18270i | −1.06862 | + | 0.297251i | ||||
\(199\) | 6.74271 | − | 3.89290i | 0.477978 | − | 0.275961i | −0.241596 | − | 0.970377i | \(-0.577671\pi\) |
0.719573 | + | 0.694416i | \(0.244337\pi\) | |||||||
\(200\) | −4.37705 | − | 2.41690i | −0.309505 | − | 0.170900i | ||||
\(201\) | 0.383868 | + | 0.176784i | 0.0270760 | + | 0.0124694i | ||||
\(202\) | 5.04744 | − | 7.20849i | 0.355137 | − | 0.507188i | ||||
\(203\) | −24.5612 | + | 35.0770i | −1.72386 | + | 2.46192i | ||||
\(204\) | −9.61094 | − | 4.42616i | −0.672900 | − | 0.309893i | ||||
\(205\) | −10.5990 | − | 2.24383i | −0.740265 | − | 0.156716i | ||||
\(206\) | −0.00151792 | 0.000876370i | −0.000105758 | 6.10596e-5i | ||||||
\(207\) | −2.39286 | − | 2.34779i | −0.166315 | − | 0.163183i | ||||
\(208\) | −0.0972853 | − | 0.363074i | −0.00674552 | − | 0.0251746i | ||||
\(209\) | 16.5521 | − | 6.02446i | 1.14493 | − | 0.416721i | ||||
\(210\) | 16.3730 | + | 0.480455i | 1.12984 | + | 0.0331546i | ||||
\(211\) | 0.399400 | − | 0.335137i | 0.0274959 | − | 0.0230718i | −0.628936 | − | 0.777457i | \(-0.716509\pi\) |
0.656432 | + | 0.754385i | \(0.272065\pi\) | |||||||
\(212\) | 8.19397 | − | 3.82091i | 0.562764 | − | 0.262421i | ||||
\(213\) | −0.0685619 | − | 0.0809246i | −0.00469779 | − | 0.00554486i | ||||
\(214\) | 11.0368 | + | 1.94608i | 0.754459 | + | 0.133032i | ||||
\(215\) | −13.9991 | − | 4.26745i | −0.954730 | − | 0.291037i | ||||
\(216\) | −3.72625 | − | 3.62147i | −0.253539 | − | 0.246410i | ||||
\(217\) | 10.6830 | + | 10.6830i | 0.725207 | + | 0.725207i | ||||
\(218\) | −1.81424 | + | 1.27034i | −0.122876 | + | 0.0860384i | ||||
\(219\) | −10.3562 | + | 4.88924i | −0.699807 | + | 0.330384i | ||||
\(220\) | −1.62845 | − | 11.5187i | −0.109790 | − | 0.776592i | ||||
\(221\) | −1.47602 | − | 1.75905i | −0.0992876 | − | 0.118326i | ||||
\(222\) | 5.09808 | + | 8.73399i | 0.342161 | + | 0.586187i | ||||
\(223\) | 3.66422 | − | 7.85795i | 0.245375 | − | 0.526208i | −0.744590 | − | 0.667522i | \(-0.767355\pi\) |
0.989965 | + | 0.141314i | \(0.0451328\pi\) | |||||||
\(224\) | −2.11465 | + | 3.66269i | −0.141291 | + | 0.244723i | ||||
\(225\) | −13.7703 | − | 5.94800i | −0.918020 | − | 0.396534i | ||||
\(226\) | 0.629291 | + | 1.08996i | 0.0418598 | + | 0.0725033i | ||||
\(227\) | −6.18305 | + | 0.540947i | −0.410383 | + | 0.0359039i | −0.290479 | − | 0.956882i | \(-0.593814\pi\) |
−0.119905 | + | 0.992785i | \(0.538259\pi\) | |||||||
\(228\) | 4.51012 | + | 3.74805i | 0.298690 | + | 0.248221i | ||||
\(229\) | −23.6091 | + | 4.16292i | −1.56013 | + | 0.275093i | −0.886060 | − | 0.463571i | \(-0.846568\pi\) |
−0.674073 | + | 0.738665i | \(0.735457\pi\) | |||||||
\(230\) | 1.96771 | − | 1.53993i | 0.129747 | − | 0.101540i | ||||
\(231\) | 22.0075 | + | 31.1141i | 1.44799 | + | 2.04716i | ||||
\(232\) | 0.882439 | + | 10.0863i | 0.0579350 | + | 0.662200i | ||||
\(233\) | −3.02370 | + | 11.2846i | −0.198089 | + | 0.739278i | 0.793357 | + | 0.608757i | \(0.208332\pi\) |
−0.991446 | + | 0.130521i | \(0.958335\pi\) | |||||||
\(234\) | −0.395733 | − | 1.05592i | −0.0258699 | − | 0.0690279i | ||||
\(235\) | −11.9933 | + | 11.2023i | −0.782359 | + | 0.730758i | ||||
\(236\) | −1.03087 | − | 2.83230i | −0.0671041 | − | 0.184367i | ||||
\(237\) | −0.0431240 | − | 9.07225i | −0.00280120 | − | 0.589306i | ||||
\(238\) | −2.25184 | + | 25.7387i | −0.145965 | + | 1.66839i | ||||
\(239\) | −17.3288 | − | 6.30716i | −1.12091 | − | 0.407976i | −0.285923 | − | 0.958253i | \(-0.592300\pi\) |
−0.834983 | + | 0.550276i | \(0.814522\pi\) | |||||||
\(240\) | 3.03862 | − | 2.40141i | 0.196142 | − | 0.155010i | ||||
\(241\) | 0.864030 | − | 4.90016i | 0.0556571 | − | 0.315647i | −0.944251 | − | 0.329227i | \(-0.893212\pi\) |
0.999908 | + | 0.0135803i | \(0.00432289\pi\) | |||||||
\(242\) | 11.3608 | − | 11.3608i | 0.730298 | − | 0.730298i | ||||
\(243\) | −12.1762 | − | 9.73345i | −0.781104 | − | 0.624401i | ||||
\(244\) | − | 7.64528i | − | 0.489439i | ||||||
\(245\) | −7.54167 | − | 23.1465i | −0.481819 | − | 1.47877i | ||||
\(246\) | 4.78067 | − | 6.89704i | 0.304804 | − | 0.439740i | ||||
\(247\) | 0.537835 | + | 1.15339i | 0.0342216 | + | 0.0733885i | ||||
\(248\) | 3.55862 | + | 0.311339i | 0.225973 | + | 0.0197700i | ||||
\(249\) | 5.87721 | + | 5.82160i | 0.372453 | + | 0.368929i | ||||
\(250\) | 5.73479 | − | 9.59751i | 0.362700 | − | 0.607000i | ||||
\(251\) | 11.3319 | + | 6.54248i | 0.715264 | + | 0.412958i | 0.813007 | − | 0.582254i | \(-0.197829\pi\) |
−0.0977433 | + | 0.995212i | \(0.531162\pi\) | |||||||
\(252\) | −5.25259 | + | 11.5496i | −0.330882 | + | 0.727557i | ||||
\(253\) | 5.61541 | + | 1.50465i | 0.353038 | + | 0.0945962i | ||||
\(254\) | 5.73526 | + | 4.81246i | 0.359862 | + | 0.301960i | ||||
\(255\) | 10.6239 | − | 21.1409i | 0.665295 | − | 1.32389i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 1.65673 | + | 1.16005i | 0.103344 | + | 0.0723622i | 0.624106 | − | 0.781340i | \(-0.285463\pi\) |
−0.520762 | + | 0.853702i | \(0.674352\pi\) | |||||||
\(258\) | 7.24546 | − | 8.71864i | 0.451083 | − | 0.542799i | ||||
\(259\) | 15.8729 | − | 18.9166i | 0.986295 | − | 1.17542i | ||||
\(260\) | 0.818800 | − | 0.189740i | 0.0507798 | − | 0.0117672i | ||||
\(261\) | 5.55862 | + | 29.8616i | 0.344070 | + | 1.84839i | ||||
\(262\) | 11.9263 | − | 3.19565i | 0.736812 | − | 0.197428i | ||||
\(263\) | 10.1370 | + | 4.72696i | 0.625074 | + | 0.291477i | 0.709232 | − | 0.704976i | \(-0.249042\pi\) |
−0.0841574 | + | 0.996452i | \(0.526820\pi\) | |||||||
\(264\) | 8.71503 | + | 2.29084i | 0.536373 | + | 0.140992i | ||||
\(265\) | 7.91438 | + | 18.6028i | 0.486177 | + | 1.14276i | ||||
\(266\) | 4.89746 | − | 13.4556i | 0.300282 | − | 0.825019i | ||||
\(267\) | 15.1260 | + | 5.42411i | 0.925694 | + | 0.331950i | ||||
\(268\) | −0.139953 | − | 0.199873i | −0.00854896 | − | 0.0122092i | ||||
\(269\) | 9.40361 | 0.573348 | 0.286674 | − | 0.958028i | \(-0.407450\pi\) | ||||
0.286674 | + | 0.958028i | \(0.407450\pi\) | |||||||
\(270\) | 8.37713 | − | 8.05132i | 0.509816 | − | 0.489988i | ||||
\(271\) | −1.37745 | −0.0836741 | −0.0418370 | − | 0.999124i | \(-0.513321\pi\) | ||||
−0.0418370 | + | 0.999124i | \(0.513321\pi\) | |||||||
\(272\) | 3.50400 | + | 5.00423i | 0.212461 | + | 0.303426i | ||||
\(273\) | −2.10084 | + | 1.77990i | −0.127149 | + | 0.107725i | ||||
\(274\) | −4.34383 | + | 11.9346i | −0.262420 | + | 0.720993i | ||||
\(275\) | 25.8658 | − | 2.76136i | 1.55977 | − | 0.166516i | ||||
\(276\) | 0.509812 | + | 1.86710i | 0.0306871 | + | 0.112386i | ||||
\(277\) | 26.2073 | + | 12.2207i | 1.57465 | + | 0.734269i | 0.996651 | − | 0.0817715i | \(-0.0260578\pi\) |
0.577994 | + | 0.816041i | \(0.303836\pi\) | |||||||
\(278\) | −4.21794 | + | 1.13019i | −0.252975 | + | 0.0677845i | ||||
\(279\) | 10.7162 | − | 0.101879i | 0.641560 | − | 0.00609931i | ||||
\(280\) | −8.02410 | − | 5.00490i | −0.479531 | − | 0.299100i | ||||
\(281\) | −20.9375 | + | 24.9523i | −1.24903 | + | 1.48853i | −0.443151 | + | 0.896447i | \(0.646140\pi\) |
−0.805875 | + | 0.592085i | \(0.798305\pi\) | |||||||
\(282\) | −4.40455 | − | 11.9247i | −0.262287 | − | 0.710107i | ||||
\(283\) | 21.4778 | + | 15.0389i | 1.27672 | + | 0.893970i | 0.997797 | − | 0.0663434i | \(-0.0211333\pi\) |
0.278924 | + | 0.960313i | \(0.410022\pi\) | |||||||
\(284\) | 0.0106335 | + | 0.0603057i | 0.000630983 | + | 0.00357848i | ||||
\(285\) | −8.71976 | + | 9.79344i | −0.516514 | + | 0.580113i | ||||
\(286\) | 1.49803 | + | 1.25700i | 0.0885805 | + | 0.0743279i | ||||
\(287\) | −19.7930 | − | 5.30353i | −1.16835 | − | 0.313057i | ||||
\(288\) | 0.803970 | + | 2.89027i | 0.0473744 | + | 0.170311i | ||||
\(289\) | 17.5979 | + | 10.1602i | 1.03517 | + | 0.597657i | ||||
\(290\) | −22.6079 | + | 1.20336i | −1.32758 | + | 0.0706635i | ||||
\(291\) | −26.1672 | + | 7.14497i | −1.53395 | + | 0.418845i | ||||
\(292\) | 6.58683 | + | 0.576273i | 0.385465 | + | 0.0337238i | ||||
\(293\) | 9.83988 | + | 21.1017i | 0.574852 | + | 1.23277i | 0.951851 | + | 0.306561i | \(0.0991782\pi\) |
−0.376999 | + | 0.926214i | \(0.623044\pi\) | |||||||
\(294\) | 18.7927 | + | 1.55417i | 1.09601 | + | 0.0906413i | ||||
\(295\) | 6.40810 | − | 2.08791i | 0.373094 | − | 0.121563i | ||||
\(296\) | − | 5.83875i | − | 0.339371i | ||||||
\(297\) | 26.6868 | + | 4.31417i | 1.54852 | + | 0.250334i | ||||
\(298\) | 0.530829 | − | 0.530829i | 0.0307501 | − | 0.0307501i | ||||
\(299\) | −0.0729361 | + | 0.413641i | −0.00421800 | + | 0.0239215i | ||||
\(300\) | 5.13502 | + | 6.97363i | 0.296471 | + | 0.402623i | ||||
\(301\) | −26.0115 | − | 9.46740i | −1.49928 | − | 0.545692i | ||||
\(302\) | −0.217774 | + | 2.48917i | −0.0125315 | + | 0.143235i | ||||
\(303\) | −13.1635 | + | 7.68363i | −0.756226 | + | 0.441413i | ||||
\(304\) | −1.15798 | − | 3.18153i | −0.0664148 | − | 0.182473i | ||||
\(305\) | 17.0854 | + | 0.582657i | 0.978309 | + | 0.0333628i | ||||
\(306\) | 11.9134 | + | 13.9268i | 0.681042 | + | 0.796140i | ||||
\(307\) | 3.78873 | − | 14.1397i | 0.216234 | − | 0.806997i | −0.769494 | − | 0.638654i | \(-0.779492\pi\) |
0.985728 | − | 0.168343i | \(-0.0538416\pi\) | |||||||
\(308\) | −1.91770 | − | 21.9195i | −0.109271 | − | 1.24898i | ||||
\(309\) | 0.00302299 | 0.000278963i | 0.000171972 | 1.58696e-5i | ||||||
\(310\) | −0.966978 | + | 7.92897i | −0.0549207 | + | 0.450335i | ||||
\(311\) | 13.9613 | − | 2.46175i | 0.791672 | − | 0.139593i | 0.236833 | − | 0.971550i | \(-0.423891\pi\) |
0.554840 | + | 0.831957i | \(0.312780\pi\) | |||||||
\(312\) | −0.110004 | + | 0.641685i | −0.00622775 | + | 0.0363283i | ||||
\(313\) | 6.64066 | − | 0.580982i | 0.375352 | − | 0.0328391i | 0.102081 | − | 0.994776i | \(-0.467450\pi\) |
0.273271 | + | 0.961937i | \(0.411894\pi\) | |||||||
\(314\) | −3.41244 | − | 5.91051i | −0.192575 | − | 0.333550i | ||||
\(315\) | −25.4104 | − | 12.6185i | −1.43171 | − | 0.710973i | ||||
\(316\) | −2.61896 | + | 4.53618i | −0.147328 | + | 0.255180i | ||||
\(317\) | −2.79105 | + | 5.98543i | −0.156761 | + | 0.336175i | −0.968965 | − | 0.247199i | \(-0.920490\pi\) |
0.812204 | + | 0.583374i | \(0.198268\pi\) | |||||||
\(318\) | −15.6594 | + | 0.0744352i | −0.878134 | + | 0.00417412i | ||||
\(319\) | −33.8589 | − | 40.3515i | −1.89573 | − | 2.25925i | ||||
\(320\) | −2.21405 | + | 0.313010i | −0.123769 | + | 0.0174978i | ||||
\(321\) | −15.9534 | − | 11.0581i | −0.890435 | − | 0.617202i | ||||
\(322\) | 3.87128 | − | 2.71070i | 0.215738 | − | 0.151061i | ||||
\(323\) | −14.6254 | − | 14.6254i | −0.813779 | − | 0.813779i | ||||
\(324\) | 3.23842 | + | 8.39718i | 0.179912 | + | 0.466510i | ||||
\(325\) | 0.361623 | + | 1.84429i | 0.0200592 | + | 0.102303i | ||||
\(326\) | −0.933793 | − | 0.164653i | −0.0517180 | − | 0.00911928i | ||||
\(327\) | 3.77461 | − | 0.684081i | 0.208736 | − | 0.0378298i | ||||
\(328\) | −4.39112 | + | 2.04761i | −0.242459 | + | 0.113061i | ||||
\(329\) | −23.7783 | + | 19.9524i | −1.31094 | + | 1.10001i | ||||
\(330\) | −5.78368 | + | 19.3015i | −0.318381 | + | 1.06251i | ||||
\(331\) | 8.71424 | − | 3.17172i | 0.478978 | − | 0.174334i | −0.0912370 | − | 0.995829i | \(-0.529082\pi\) |
0.570215 | + | 0.821495i | \(0.306860\pi\) | |||||||
\(332\) | −1.23614 | − | 4.61333i | −0.0678419 | − | 0.253190i | ||||
\(333\) | −1.69246 | − | 17.4343i | −0.0927462 | − | 0.955394i | ||||
\(334\) | 4.34373 | − | 2.50785i | 0.237678 | − | 0.137224i | ||||
\(335\) | 0.457336 | − | 0.297529i | 0.0249869 | − | 0.0162557i | ||||
\(336\) | 5.98055 | − | 4.23014i | 0.326266 | − | 0.230773i | ||||
\(337\) | −20.1713 | + | 28.8075i | −1.09880 | + | 1.56925i | −0.314078 | + | 0.949397i | \(0.601695\pi\) |
−0.784721 | + | 0.619849i | \(0.787194\pi\) | |||||||
\(338\) | 7.37545 | − | 10.5332i | 0.401172 | − | 0.572933i | ||||
\(339\) | −0.200314 | − | 2.17071i | −0.0108795 | − | 0.117897i | ||||
\(340\) | −11.4503 | + | 7.44925i | −0.620982 | + | 0.403992i | ||||
\(341\) | −16.0948 | + | 9.29232i | −0.871581 | + | 0.503207i | ||||
\(342\) | −4.37991 | − | 9.16426i | −0.236838 | − | 0.495547i | ||||
\(343\) | −4.25483 | − | 15.8792i | −0.229739 | − | 0.857399i | ||||
\(344\) | −6.15030 | + | 2.23852i | −0.331602 | + | 0.120693i | ||||
\(345\) | −4.21139 | + | 0.997018i | −0.226733 | + | 0.0536776i | ||||
\(346\) | 4.34826 | − | 3.64862i | 0.233764 | − | 0.196151i | ||||
\(347\) | 16.8242 | − | 7.84524i | 0.903169 | − | 0.421155i | 0.0851649 | − | 0.996367i | \(-0.472858\pi\) |
0.818004 | + | 0.575212i | \(0.195081\pi\) | |||||||
\(348\) | 5.91953 | − | 16.5075i | 0.317320 | − | 0.884894i | ||||
\(349\) | 9.68283 | + | 1.70734i | 0.518310 | + | 0.0913920i | 0.426683 | − | 0.904401i | \(-0.359682\pi\) |
0.0916271 | + | 0.995793i | \(0.470793\pi\) | |||||||
\(350\) | 11.7963 | − | 17.5506i | 0.630540 | − | 0.938117i | ||||
\(351\) | −0.142465 | + | 1.94793i | −0.00760421 | + | 0.103973i | ||||
\(352\) | −3.67876 | − | 3.67876i | −0.196079 | − | 0.196079i | ||||
\(353\) | 2.68228 | − | 1.87815i | 0.142763 | − | 0.0999639i | −0.500013 | − | 0.866018i | \(-0.666671\pi\) |
0.642776 | + | 0.766054i | \(0.277783\pi\) | |||||||
\(354\) | −0.430273 | + | 5.20276i | −0.0228687 | + | 0.276524i | ||||
\(355\) | −0.135580 | + | 0.0191675i | −0.00719582 | + | 0.00101730i | ||||
\(356\) | −5.96346 | − | 7.10697i | −0.316063 | − | 0.376669i | ||||
\(357\) | 22.1910 | − | 38.8614i | 1.17447 | − | 2.05676i | ||||
\(358\) | −6.02163 | + | 12.9134i | −0.318253 | + | 0.682496i | ||||
\(359\) | 8.24511 | − | 14.2809i | 0.435160 | − | 0.753719i | −0.562149 | − | 0.827036i | \(-0.690025\pi\) |
0.997309 | + | 0.0733169i | \(0.0233584\pi\) | |||||||
\(360\) | −6.52035 | + | 1.57642i | −0.343652 | + | 0.0830844i | ||||
\(361\) | −3.76848 | − | 6.52720i | −0.198341 | − | 0.343537i | ||||
\(362\) | −13.0587 | + | 1.14249i | −0.686351 | + | 0.0600479i | ||||
\(363\) | −26.1043 | + | 9.64196i | −1.37012 | + | 0.506072i | ||||
\(364\) | 1.56557 | − | 0.276051i | 0.0820579 | − | 0.0144690i | ||||
\(365\) | −1.78983 | + | 14.6761i | −0.0936839 | + | 0.768184i | ||||
\(366\) | −5.53921 | + | 12.0278i | −0.289539 | + | 0.628703i | ||||
\(367\) | −2.85258 | − | 32.6051i | −0.148903 | − | 1.70197i | −0.592358 | − | 0.805675i | \(-0.701803\pi\) |
0.443455 | − | 0.896297i | \(-0.353753\pi\) | |||||||
\(368\) | 0.289213 | − | 1.07936i | 0.0150763 | − | 0.0562654i | ||||
\(369\) | −12.5182 | + | 7.38694i | −0.651671 | + | 0.384549i | ||||
\(370\) | 13.0483 | + | 0.444979i | 0.678347 | + | 0.0231333i | ||||
\(371\) | 13.0779 | + | 35.9314i | 0.678973 | + | 1.86546i | ||||
\(372\) | −5.37297 | − | 3.06812i | −0.278575 | − | 0.159075i | ||||
\(373\) | −0.540647 | + | 6.17963i | −0.0279937 | + | 0.319969i | 0.969268 | + | 0.246009i | \(0.0791193\pi\) |
−0.997261 | + | 0.0739600i | \(0.976436\pi\) | |||||||
\(374\) | −29.8659 | − | 10.8703i | −1.54433 | − | 0.562089i | ||||
\(375\) | −15.9758 | + | 10.9441i | −0.824987 | + | 0.565152i | ||||
\(376\) | −1.27447 | + | 7.22787i | −0.0657257 | + | 0.372749i | ||||
\(377\) | 2.69107 | − | 2.69107i | 0.138597 | − | 0.138597i | ||||
\(378\) | 16.6315 | − | 14.3646i | 0.855434 | − | 0.738835i | ||||
\(379\) | 6.82213i | 0.350429i | 0.984530 | + | 0.175215i | \(0.0560620\pi\) | ||||
−0.984530 | + | 0.175215i | \(0.943938\pi\) | |||||||
\(380\) | 7.19823 | − | 2.34535i | 0.369261 | − | 0.120314i | ||||
\(381\) | −5.53615 | − | 11.7265i | −0.283626 | − | 0.600765i | ||||
\(382\) | 0.607093 | + | 1.30191i | 0.0310616 | + | 0.0666117i | ||||
\(383\) | −3.44055 | − | 0.301009i | −0.175804 | − | 0.0153808i | −0.00108604 | − | 0.999999i | \(-0.500346\pi\) |
−0.174718 | + | 0.984619i | \(0.555901\pi\) | |||||||
\(384\) | 0.440330 | − | 1.67514i | 0.0224705 | − | 0.0854844i | ||||
\(385\) | 49.1311 | − | 2.61512i | 2.50395 | − | 0.133279i | ||||
\(386\) | 17.0259 | + | 9.82991i | 0.866596 | + | 0.500329i | ||||
\(387\) | −17.7157 | + | 8.46692i | −0.900539 | + | 0.430398i | ||||
\(388\) | 15.1271 | + | 4.05329i | 0.767961 | + | 0.205775i | ||||
\(389\) | −9.14718 | − | 7.67539i | −0.463780 | − | 0.389158i | 0.380739 | − | 0.924682i | \(-0.375669\pi\) |
−0.844520 | + | 0.535525i | \(0.820114\pi\) | |||||||
\(390\) | −1.42563 | − | 0.294737i | −0.0721898 | − | 0.0149246i | ||||
\(391\) | −1.18540 | − | 6.72273i | −0.0599482 | − | 0.339983i | ||||
\(392\) | −8.91813 | − | 6.24454i | −0.450433 | − | 0.315397i | ||||
\(393\) | −21.0783 | − | 3.61344i | −1.06326 | − | 0.182274i | ||||
\(394\) | −12.7046 | + | 15.1407i | −0.640047 | + | 0.762778i | ||||
\(395\) | −9.93771 | − | 6.19848i | −0.500020 | − | 0.311880i | ||||
\(396\) | −12.0510 | − | 9.91830i | −0.605585 | − | 0.498413i | ||||
\(397\) | −2.51612 | + | 0.674193i | −0.126280 | + | 0.0338368i | −0.321406 | − | 0.946942i | \(-0.604155\pi\) |
0.195125 | + | 0.980778i | \(0.437489\pi\) | |||||||
\(398\) | 7.05634 | + | 3.29042i | 0.353702 | + | 0.164934i | ||||
\(399\) | −17.4538 | + | 17.6205i | −0.873783 | + | 0.882130i | ||||
\(400\) | −0.530769 | − | 4.97175i | −0.0265385 | − | 0.248587i | ||||
\(401\) | 2.31034 | − | 6.34761i | 0.115373 | − | 0.316984i | −0.868544 | − | 0.495612i | \(-0.834944\pi\) |
0.983917 | + | 0.178628i | \(0.0571659\pi\) | |||||||
\(402\) | 0.0753647 | + | 0.415846i | 0.00375885 | + | 0.0207405i | ||||
\(403\) | −0.770158 | − | 1.09990i | −0.0383643 | − | 0.0547899i | ||||
\(404\) | 8.79994 | 0.437814 | ||||||||
\(405\) | −19.0126 | + | 6.59715i | −0.944742 | + | 0.327815i | ||||
\(406\) | −42.8211 | −2.12518 | ||||||||
\(407\) | 17.4232 | + | 24.8829i | 0.863636 | + | 1.23340i | ||||
\(408\) | −1.88691 | − | 10.4116i | −0.0934160 | − | 0.515449i | ||||
\(409\) | −1.32960 | + | 3.65304i | −0.0657444 | + | 0.180631i | −0.968215 | − | 0.250121i | \(-0.919530\pi\) |
0.902470 | + | 0.430752i | \(0.141752\pi\) | |||||||
\(410\) | −4.24129 | − | 9.96919i | −0.209462 | − | 0.492343i | ||||
\(411\) | 15.4808 | − | 15.6286i | 0.763609 | − | 0.770904i | ||||
\(412\) | −0.00158852 | 0.000740740i | −7.82609e−5 | 3.64936e-5i | ||||||
\(413\) | 12.3131 | − | 3.29928i | 0.605886 | − | 0.162347i | ||||
\(414\) | 0.550709 | − | 3.30675i | 0.0270659 | − | 0.162518i | ||||
\(415\) | 10.4039 | − | 2.41090i | 0.510709 | − | 0.118346i | ||||
\(416\) | 0.241612 | − | 0.287942i | 0.0118460 | − | 0.0141175i | ||||
\(417\) | 7.45465 | + | 1.27795i | 0.365056 | + | 0.0625815i | ||||
\(418\) | 14.4288 | + | 10.1032i | 0.705737 | + | 0.494162i | ||||
\(419\) | −2.47543 | − | 14.0389i | −0.120933 | − | 0.685844i | −0.983641 | − | 0.180141i | \(-0.942344\pi\) |
0.862708 | − | 0.505703i | \(-0.168767\pi\) | |||||||
\(420\) | 8.99759 | + | 13.6875i | 0.439037 | + | 0.667884i | ||||
\(421\) | 21.8367 | + | 18.3232i | 1.06426 | + | 0.893018i | 0.994520 | − | 0.104547i | \(-0.0333392\pi\) |
0.0697379 | + | 0.997565i | \(0.477784\pi\) | |||||||
\(422\) | 0.503615 | + | 0.134943i | 0.0245156 | + | 0.00656893i | ||||
\(423\) | −1.71040 | + | 21.9516i | −0.0831624 | + | 1.06732i | ||||
\(424\) | 7.82978 | + | 4.52052i | 0.380248 | + | 0.219536i | ||||
\(425\) | −15.7747 | − | 26.1566i | −0.765186 | − | 1.26878i | ||||
\(426\) | 0.0269640 | − | 0.102579i | 0.00130641 | − | 0.00496997i | ||||
\(427\) | 32.2112 | + | 2.81811i | 1.55881 | + | 0.136378i | ||||
\(428\) | 4.73630 | + | 10.1570i | 0.228938 | + | 0.490959i | ||||
\(429\) | −1.44603 | − | 3.06292i | −0.0698148 | − | 0.147879i | ||||
\(430\) | −4.53386 | − | 13.9151i | −0.218642 | − | 0.671045i | ||||
\(431\) | − | 38.9178i | − | 1.87461i | −0.348515 | − | 0.937303i | \(-0.613314\pi\) | ||
0.348515 | − | 0.937303i | \(-0.386686\pi\) | |||||||
\(432\) | 0.829241 | − | 5.12956i | 0.0398969 | − | 0.246796i | ||||
\(433\) | 8.50667 | − | 8.50667i | 0.408804 | − | 0.408804i | −0.472517 | − | 0.881321i | \(-0.656655\pi\) |
0.881321 | + | 0.472517i | \(0.156655\pi\) | |||||||
\(434\) | −2.62347 | + | 14.8785i | −0.125931 | + | 0.714189i | ||||
\(435\) | 36.4393 | + | 14.4868i | 1.74713 | + | 0.694590i | ||||
\(436\) | −2.08121 | − | 0.757497i | −0.0996717 | − | 0.0362775i | ||||
\(437\) | −0.329737 | + | 3.76891i | −0.0157734 | + | 0.180291i | ||||
\(438\) | −9.94509 | − | 5.67894i | −0.475195 | − | 0.271350i | ||||
\(439\) | 12.9045 | + | 35.4547i | 0.615896 | + | 1.69216i | 0.716813 | + | 0.697266i | \(0.245600\pi\) |
−0.100917 | + | 0.994895i | \(0.532178\pi\) | |||||||
\(440\) | 8.50154 | − | 7.94082i | 0.405295 | − | 0.378564i | ||||
\(441\) | −28.4393 | − | 16.0609i | −1.35425 | − | 0.764805i | ||||
\(442\) | 0.594319 | − | 2.21803i | 0.0282689 | − | 0.105501i | ||||
\(443\) | −3.23888 | − | 37.0206i | −0.153884 | − | 1.75890i | −0.544883 | − | 0.838512i | \(-0.683426\pi\) |
0.390999 | − | 0.920391i | \(-0.372129\pi\) | |||||||
\(444\) | −4.23033 | + | 9.18572i | −0.200763 | + | 0.435935i | ||||
\(445\) | 16.3369 | − | 12.7853i | 0.774444 | − | 0.606082i | ||||
\(446\) | 8.53857 | − | 1.50558i | 0.404313 | − | 0.0712913i | ||||
\(447\) | −1.21972 | + | 0.450518i | −0.0576906 | + | 0.0213088i | ||||
\(448\) | −4.21321 | + | 0.368608i | −0.199056 | + | 0.0174151i | ||||
\(449\) | −19.5467 | − | 33.8559i | −0.922466 | − | 1.59776i | −0.795587 | − | 0.605839i | \(-0.792838\pi\) |
−0.126878 | − | 0.991918i | \(-0.540496\pi\) | |||||||
\(450\) | −3.02600 | − | 14.6916i | −0.142647 | − | 0.692569i | ||||
\(451\) | 12.6034 | − | 21.8297i | 0.593469 | − | 1.02792i | ||||
\(452\) | −0.531900 | + | 1.14066i | −0.0250185 | + | 0.0536523i | ||||
\(453\) | 2.14608 | − | 3.75826i | 0.100831 | − | 0.176578i | ||||
\(454\) | −3.98957 | − | 4.75458i | −0.187240 | − | 0.223144i | ||||
\(455\) | 0.497597 | + | 3.51972i | 0.0233277 | + | 0.165007i | ||||
\(456\) | −0.483326 | + | 5.84427i | −0.0226338 | + | 0.273683i | ||||
\(457\) | −7.27339 | + | 5.09288i | −0.340235 | + | 0.238235i | −0.731189 | − | 0.682175i | \(-0.761034\pi\) |
0.390954 | + | 0.920410i | \(0.372145\pi\) | |||||||
\(458\) | −16.9517 | − | 16.9517i | −0.792100 | − | 0.792100i | ||||
\(459\) | −8.65221 | − | 30.5416i | −0.403851 | − | 1.42556i | ||||
\(460\) | 2.39007 | + | 0.728583i | 0.111438 | + | 0.0339704i | ||||
\(461\) | −33.1532 | − | 5.84580i | −1.54410 | − | 0.272266i | −0.664245 | − | 0.747515i | \(-0.731247\pi\) |
−0.879851 | + | 0.475249i | \(0.842358\pi\) | |||||||
\(462\) | −12.8642 | + | 35.8738i | −0.598498 | + | 1.66900i | ||||
\(463\) | 8.97141 | − | 4.18344i | 0.416937 | − | 0.194421i | −0.202818 | − | 0.979216i | \(-0.565010\pi\) |
0.619755 | + | 0.784796i | \(0.287232\pi\) | |||||||
\(464\) | −7.75609 | + | 6.50813i | −0.360067 | + | 0.302132i | ||||
\(465\) | 7.26603 | − | 11.7735i | 0.336954 | − | 0.545984i | ||||
\(466\) | −10.9781 | + | 3.99571i | −0.508551 | + | 0.185098i | ||||
\(467\) | −2.05693 | − | 7.67657i | −0.0951834 | − | 0.355229i | 0.901864 | − | 0.432021i | \(-0.142199\pi\) |
−0.997047 | + | 0.0767911i | \(0.975533\pi\) | |||||||
\(468\) | 0.637980 | − | 0.929819i | 0.0294906 | − | 0.0429809i | ||||
\(469\) | 0.893695 | − | 0.515975i | 0.0412670 | − | 0.0238255i | ||||
\(470\) | −16.0555 | − | 3.39899i | −0.740584 | − | 0.156784i | ||||
\(471\) | 1.08623 | + | 11.7710i | 0.0500510 | + | 0.542380i | ||||
\(472\) | 1.72880 | − | 2.46898i | 0.0795745 | − | 0.113644i | ||||
\(473\) | 19.5307 | − | 27.8927i | 0.898023 | − | 1.28251i | ||||
\(474\) | 7.40682 | − | 5.23895i | 0.340206 | − | 0.240633i | ||||
\(475\) | 4.69273 | + | 16.2651i | 0.215317 | + | 0.746295i | ||||
\(476\) | −22.3755 | + | 12.9185i | −1.02558 | + | 0.592118i | ||||
\(477\) | 24.6898 | + | 11.2285i | 1.13047 | + | 0.514119i | ||||
\(478\) | −4.77286 | − | 17.8125i | −0.218305 | − | 0.814727i | ||||
\(479\) | −14.8140 | + | 5.39184i | −0.676867 | + | 0.246359i | −0.657502 | − | 0.753453i | \(-0.728387\pi\) |
−0.0193652 | + | 0.999812i | \(0.506165\pi\) | |||||||
\(480\) | 3.71000 | + | 1.11170i | 0.169338 | + | 0.0507420i | ||||
\(481\) | −1.68122 | + | 1.41071i | −0.0766571 | + | 0.0643229i | ||||
\(482\) | 4.50956 | − | 2.10284i | 0.205405 | − | 0.0957819i | ||||
\(483\) | −8.05440 | + | 1.45972i | −0.366488 | + | 0.0664195i | ||||
\(484\) | 15.8225 | + | 2.78993i | 0.719203 | + | 0.126815i | ||||
\(485\) | −10.2110 | + | 33.4966i | −0.463659 | + | 1.52100i | ||||
\(486\) | 0.989197 | − | 15.5570i | 0.0448709 | − | 0.705682i | ||||
\(487\) | −6.08544 | − | 6.08544i | −0.275758 | − | 0.275758i | 0.555655 | − | 0.831413i | \(-0.312467\pi\) |
−0.831413 | + | 0.555655i | \(0.812467\pi\) | |||||||
\(488\) | 6.26265 | − | 4.38515i | 0.283497 | − | 0.198506i | ||||
\(489\) | 1.34978 | + | 0.935595i | 0.0610391 | + | 0.0423091i | ||||
\(490\) | 14.6348 | − | 19.4540i | 0.661131 | − | 0.878844i | ||||
\(491\) | −19.9695 | − | 23.7987i | −0.901209 | − | 1.07402i | −0.996906 | − | 0.0786084i | \(-0.974952\pi\) |
0.0956967 | − | 0.995411i | \(-0.469492\pi\) | |||||||
\(492\) | 8.39181 | − | 0.0398896i | 0.378332 | − | 0.00179836i | ||||
\(493\) | −26.1402 | + | 56.0579i | −1.17730 | + | 2.52472i | ||||
\(494\) | −0.636313 | + | 1.10213i | −0.0286291 | + | 0.0495870i | ||||
\(495\) | 23.0835 | − | 26.1753i | 1.03753 | − | 1.17649i | ||||
\(496\) | 1.78611 | + | 3.09363i | 0.0801986 | + | 0.138908i | ||||
\(497\) | −0.258000 | + | 0.0225721i | −0.0115729 | + | 0.00101250i | ||||
\(498\) | −1.39775 | + | 8.15346i | −0.0626346 | + | 0.365365i | ||||
\(499\) | 12.8962 | − | 2.27395i | 0.577313 | − | 0.101796i | 0.122635 | − | 0.992452i | \(-0.460866\pi\) |
0.454678 | + | 0.890656i | \(0.349754\pi\) | |||||||
\(500\) | 11.1512 | − | 0.807244i | 0.498695 | − | 0.0361010i | ||||
\(501\) | −8.65070 | + | 0.798290i | −0.386485 | + | 0.0356650i | ||||
\(502\) | 1.14043 | + | 13.0352i | 0.0508999 | + | 0.581788i | ||||
\(503\) | −1.81455 | + | 6.77201i | −0.0809070 | + | 0.301949i | −0.994508 | − | 0.104664i | \(-0.966623\pi\) |
0.913601 | + | 0.406613i | \(0.133290\pi\) | |||||||
\(504\) | −12.4736 | + | 2.32192i | −0.555620 | + | 0.103427i | ||||
\(505\) | −0.670655 | + | 19.6658i | −0.0298438 | + | 0.875118i | ||||
\(506\) | 1.98833 | + | 5.46291i | 0.0883923 | + | 0.242856i | ||||
\(507\) | −19.2349 | + | 11.2275i | −0.854253 | + | 0.498632i | ||||
\(508\) | −0.652522 | + | 7.45836i | −0.0289510 | + | 0.330911i | ||||
\(509\) | 15.4656 | + | 5.62900i | 0.685499 | + | 0.249501i | 0.661207 | − | 0.750204i | \(-0.270045\pi\) |
0.0242921 | + | 0.999705i | \(0.492267\pi\) | |||||||
\(510\) | 23.4112 | − | 3.42333i | 1.03667 | − | 0.151588i | ||||
\(511\) | −4.85592 | + | 27.5393i | −0.214813 | + | 1.21827i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 0.250864 | + | 17.5909i | 0.0110759 | + | 0.776656i | ||||
\(514\) | 2.02249i | 0.0892083i | ||||||||
\(515\) | 0.00177645 | − | 0.00349353i | 7.82796e−5 | − | 0.000153943i | ||||
\(516\) | 11.2977 | + | 0.934331i | 0.497354 | + | 0.0411316i | ||||
\(517\) | −16.1370 | − | 34.6060i | −0.709706 | − | 1.52197i | ||||
\(518\) | 24.5999 | + | 2.15221i | 1.08086 | + | 0.0945628i | ||||
\(519\) | −9.48434 | + | 2.58970i | −0.416316 | + | 0.113675i | ||||
\(520\) | 0.625070 | + | 0.561891i | 0.0274111 | + | 0.0246406i | ||||
\(521\) | 0.953086 | + | 0.550265i | 0.0417555 | + | 0.0241075i | 0.520732 | − | 0.853720i | \(-0.325659\pi\) |
−0.478977 | + | 0.877827i | \(0.658992\pi\) | |||||||
\(522\) | −21.2729 | + | 21.6813i | −0.931090 | + | 0.948963i | ||||
\(523\) | 3.11458 | + | 0.834549i | 0.136191 | + | 0.0364923i | 0.326271 | − | 0.945276i | \(-0.394208\pi\) |
−0.190080 | + | 0.981769i | \(0.560875\pi\) | |||||||
\(524\) | 9.45840 | + | 7.93654i | 0.413192 | + | 0.346709i | ||||
\(525\) | −31.2742 | + | 19.0644i | −1.36492 | + | 0.832038i | ||||
\(526\) | 1.94224 | + | 11.0150i | 0.0846859 | + | 0.480278i | ||||
\(527\) | 17.8762 | + | 12.5170i | 0.778699 | + | 0.545251i | ||||
\(528\) | 3.12219 | + | 8.45291i | 0.135876 | + | 0.367866i | ||||
\(529\) | 13.9815 | − | 16.6625i | 0.607891 | − | 0.724456i | ||||
\(530\) | −10.6990 | + | 17.1532i | −0.464737 | + | 0.745088i | ||||
\(531\) | 4.44646 | − | 7.87341i | 0.192960 | − | 0.341677i | ||||
\(532\) | 13.8313 | − | 3.70608i | 0.599662 | − | 0.160679i | ||||
\(533\) | 1.65054 | + | 0.769660i | 0.0714929 | + | 0.0333377i | ||||
\(534\) | 4.23272 | + | 15.5016i | 0.183168 | + | 0.670820i | ||||
\(535\) | −23.0596 | + | 9.81046i | −0.996953 | + | 0.424143i | ||||
\(536\) | 0.0834528 | − | 0.229285i | 0.00360461 | − | 0.00990359i | ||||
\(537\) | 18.8296 | − | 15.9530i | 0.812555 | − | 0.688423i | ||||
\(538\) | 5.39369 | + | 7.70299i | 0.232538 | + | 0.332099i | ||||
\(539\) | 56.6403 | 2.43967 | ||||||||
\(540\) | 11.4002 | + | 2.24409i | 0.490586 | + | 0.0965704i | ||||
\(541\) | 45.1758 | 1.94226 | 0.971129 | − | 0.238553i | \(-0.0766732\pi\) | ||||
0.971129 | + | 0.238553i | \(0.0766732\pi\) | |||||||
\(542\) | −0.790072 | − | 1.12834i | −0.0339365 | − | 0.0484664i | ||||
\(543\) | 21.3722 | + | 7.66398i | 0.917167 | + | 0.328893i | ||||
\(544\) | −2.08941 | + | 5.74062i | −0.0895829 | + | 0.246127i | ||||
\(545\) | 1.85144 | − | 4.59328i | 0.0793070 | − | 0.196755i | ||||
\(546\) | −2.66301 | − | 0.700000i | −0.113966 | − | 0.0299573i | ||||
\(547\) | −38.8206 | − | 18.1023i | −1.65985 | − | 0.774000i | −0.999739 | − | 0.0228315i | \(-0.992732\pi\) |
−0.660110 | − | 0.751169i | \(-0.729490\pi\) | |||||||
\(548\) | −12.2677 | + | 3.28713i | −0.524052 | + | 0.140419i | ||||
\(549\) | 17.4289 | − | 14.9092i | 0.743848 | − | 0.636311i | ||||
\(550\) | 17.0980 | + | 19.6042i | 0.729060 | + | 0.835924i | ||||
\(551\) | 22.0346 | − | 26.2599i | 0.938707 | − | 1.11871i | ||||
\(552\) | −1.23702 | + | 1.48854i | −0.0526511 | + | 0.0633564i | ||||
\(553\) | −18.1465 | − | 12.7063i | −0.771668 | − | 0.540327i | ||||
\(554\) | 5.02131 | + | 28.4773i | 0.213335 | + | 1.20988i | ||||
\(555\) | −20.2056 | − | 10.1539i | −0.857678 | − | 0.431008i | ||||
\(556\) | −3.34511 | − | 2.80688i | −0.141864 | − | 0.119038i | ||||
\(557\) | −20.2153 | − | 5.41667i | −0.856549 | − | 0.229512i | −0.196286 | − | 0.980547i | \(-0.562888\pi\) |
−0.660262 | + | 0.751035i | \(0.729555\pi\) | |||||||
\(558\) | 6.22999 | + | 8.71973i | 0.263737 | + | 0.369136i | ||||
\(559\) | 2.13055 | + | 1.23007i | 0.0901127 | + | 0.0520266i | ||||
\(560\) | −0.502660 | − | 9.44365i | −0.0212413 | − | 0.399067i | ||||
\(561\) | 39.1102 | + | 38.7401i | 1.65123 | + | 1.63561i | ||||
\(562\) | −32.4490 | − | 2.83892i | −1.36878 | − | 0.119753i | ||||
\(563\) | 15.7802 | + | 33.8407i | 0.665055 | + | 1.42621i | 0.891877 | + | 0.452279i | \(0.149389\pi\) |
−0.226822 | + | 0.973936i | \(0.572833\pi\) | |||||||
\(564\) | 7.24181 | − | 10.4477i | 0.304935 | − | 0.439929i | ||||
\(565\) | −2.50858 | − | 1.27560i | −0.105537 | − | 0.0536651i | ||||
\(566\) | 26.2195i | 1.10209i | ||||||||
\(567\) | −36.5728 | + | 10.5489i | −1.53591 | + | 0.443011i | ||||
\(568\) | −0.0433004 | + | 0.0433004i | −0.00181684 | + | 0.00181684i | ||||
\(569\) | −4.38237 | + | 24.8537i | −0.183719 | + | 1.04192i | 0.743872 | + | 0.668322i | \(0.232987\pi\) |
−0.927591 | + | 0.373598i | \(0.878124\pi\) | |||||||
\(570\) | −13.0238 | − | 1.52552i | −0.545505 | − | 0.0638971i | ||||
\(571\) | 32.0935 | + | 11.6811i | 1.34307 | + | 0.488837i | 0.910778 | − | 0.412897i | \(-0.135483\pi\) |
0.432292 | + | 0.901734i | \(0.357705\pi\) | |||||||
\(572\) | −0.170437 | + | 1.94810i | −0.00712632 | + | 0.0814542i | ||||
\(573\) | −0.0118268 | − | 2.48807i | −0.000494071 | − | 0.103941i | ||||
\(574\) | −7.00843 | − | 19.2555i | −0.292526 | − | 0.803709i | ||||
\(575\) | −1.81036 | + | 5.28573i | −0.0754974 | + | 0.220430i | ||||
\(576\) | −1.90643 | + | 2.31636i | −0.0794345 | + | 0.0965151i | ||||
\(577\) | 6.06339 | − | 22.6289i | 0.252422 | − | 0.942052i | −0.717084 | − | 0.696986i | \(-0.754524\pi\) |
0.969506 | − | 0.245066i | \(-0.0788096\pi\) | |||||||
\(578\) | 1.77103 | + | 20.2430i | 0.0736653 | + | 0.841998i | ||||
\(579\) | −19.6637 | − | 27.8004i | −0.817195 | − | 1.15535i | ||||
\(580\) | −13.9531 | − | 17.8291i | −0.579369 | − | 0.740311i | ||||
\(581\) | 19.8926 | − | 3.50760i | 0.825284 | − | 0.145520i | ||||
\(582\) | −20.8617 | − | 17.3367i | −0.864746 | − | 0.718631i | ||||
\(583\) | −46.8575 | + | 4.09950i | −1.94064 | + | 0.169784i | ||||
\(584\) | 3.30600 | + | 5.72615i | 0.136803 | + | 0.236950i | ||||
\(585\) | 2.02931 | + | 1.49660i | 0.0839016 | + | 0.0618768i | ||||
\(586\) | −11.6416 | + | 20.1638i | −0.480909 | + | 0.832959i | ||||
\(587\) | −8.93875 | + | 19.1692i | −0.368942 | + | 0.791198i | 0.630940 | + | 0.775831i | \(0.282669\pi\) |
−0.999882 | + | 0.0153665i | \(0.995109\pi\) | |||||||
\(588\) | 9.50596 | + | 16.2855i | 0.392019 | + | 0.671604i | ||||
\(589\) | −7.77418 | − | 9.26491i | −0.320330 | − | 0.381754i | ||||
\(590\) | 5.38585 | + | 4.05163i | 0.221732 | + | 0.166803i | ||||
\(591\) | 30.9571 | − | 14.6151i | 1.27340 | − | 0.601184i | ||||
\(592\) | 4.78283 | − | 3.34897i | 0.196573 | − | 0.137642i | ||||
\(593\) | 1.68491 | + | 1.68491i | 0.0691910 | + | 0.0691910i | 0.740855 | − | 0.671664i | \(-0.234420\pi\) |
−0.671664 | + | 0.740855i | \(0.734420\pi\) | |||||||
\(594\) | 11.7730 | + | 24.3351i | 0.483050 | + | 0.998479i | ||||
\(595\) | −27.1646 | − | 50.9886i | −1.11364 | − | 2.09033i | ||||
\(596\) | 0.739301 | + | 0.130359i | 0.0302829 | + | 0.00533970i | ||||
\(597\) | −8.71726 | − | 10.2891i | −0.356774 | − | 0.421105i | ||||
\(598\) | −0.380669 | + | 0.177509i | −0.0155667 | + | 0.00725888i | ||||
\(599\) | −11.6914 | + | 9.81029i | −0.477700 | + | 0.400838i | −0.849594 | − | 0.527438i | \(-0.823153\pi\) |
0.371894 | + | 0.928275i | \(0.378708\pi\) | |||||||
\(600\) | −2.76714 | + | 8.20627i | −0.112968 | + | 0.335020i | ||||
\(601\) | 43.3179 | − | 15.7664i | 1.76697 | − | 0.643126i | 0.766974 | − | 0.641678i | \(-0.221761\pi\) |
0.999999 | − | 0.00144762i | \(-0.000460792\pi\) | |||||||
\(602\) | −7.16433 | − | 26.7376i | −0.291996 | − | 1.08974i | ||||
\(603\) | 0.182725 | − | 0.708826i | 0.00744114 | − | 0.0288656i | ||||
\(604\) | −2.16392 | + | 1.24934i | −0.0880485 | + | 0.0508348i | ||||
\(605\) | −7.44070 | + | 35.1469i | −0.302507 | + | 1.42893i | ||||
\(606\) | −13.8444 | − | 6.37579i | −0.562389 | − | 0.258999i | ||||
\(607\) | −16.5602 | + | 23.6505i | −0.672159 | + | 0.959942i | 0.327726 | + | 0.944773i | \(0.393718\pi\) |
−0.999885 | + | 0.0151695i | \(0.995171\pi\) | |||||||
\(608\) | 1.94196 | − | 2.77341i | 0.0787570 | − | 0.112477i | ||||
\(609\) | 67.3675 | + | 31.0250i | 2.72987 | + | 1.25720i | ||||
\(610\) | 9.32252 | + | 14.3298i | 0.377458 | + | 0.580195i | ||||
\(611\) | 2.38913 | − | 1.37937i | 0.0966539 | − | 0.0558032i | ||||
\(612\) | −4.57490 | + | 17.7469i | −0.184929 | + | 0.717377i | ||||
\(613\) | 7.09621 | + | 26.4834i | 0.286613 | + | 1.06966i | 0.947652 | + | 0.319304i | \(0.103449\pi\) |
−0.661039 | + | 0.750351i | \(0.729884\pi\) | |||||||
\(614\) | 13.7557 | − | 5.00667i | 0.555135 | − | 0.202053i | ||||
\(615\) | −0.550406 | + | 18.7568i | −0.0221945 | + | 0.756347i | ||||
\(616\) | 16.8554 | − | 14.1434i | 0.679124 | − | 0.569853i | ||||
\(617\) | 1.03346 | − | 0.481909i | 0.0416054 | − | 0.0194009i | −0.401704 | − | 0.915769i | \(-0.631582\pi\) |
0.443310 | + | 0.896369i | \(0.353804\pi\) | |||||||
\(618\) | 0.00196243 | + | 0.00231628i | 7.89405e−5 | + | 9.31746e-5i | ||||
\(619\) | −36.3650 | − | 6.41213i | −1.46163 | − | 0.257725i | −0.614420 | − | 0.788979i | \(-0.710610\pi\) |
−0.847213 | + | 0.531254i | \(0.821721\pi\) | |||||||
\(620\) | −7.04967 | + | 3.75577i | −0.283121 | + | 0.150835i | ||||
\(621\) | −3.26222 | + | 4.80329i | −0.130909 | + | 0.192749i | ||||
\(622\) | 10.0244 | + | 10.0244i | 0.401943 | + | 0.401943i | ||||
\(623\) | 32.1414 | − | 22.5056i | 1.28772 | − | 0.901669i | ||||
\(624\) | −0.588733 | + | 0.277945i | −0.0235682 | + | 0.0111267i | ||||
\(625\) | 0.954158 | + | 24.9818i | 0.0381663 | + | 0.999271i | ||||
\(626\) | 4.28484 | + | 5.10647i | 0.171257 | + | 0.204096i | ||||
\(627\) | −15.3799 | − | 26.3487i | −0.614213 | − | 1.05227i | ||||
\(628\) | 2.88432 | − | 6.18543i | 0.115097 | − | 0.246826i | ||||
\(629\) | 17.8346 | − | 30.8904i | 0.711111 | − | 1.23168i | ||||
\(630\) | −4.23832 | − | 28.0527i | −0.168859 | − | 1.11765i | ||||
\(631\) | −23.0047 | − | 39.8453i | −0.915802 | − | 1.58622i | −0.805723 | − | 0.592292i | \(-0.798223\pi\) |
−0.110078 | − | 0.993923i | \(-0.535110\pi\) | |||||||
\(632\) | −5.21799 | + | 0.456515i | −0.207561 | + | 0.0181592i | ||||
\(633\) | −0.694533 | − | 0.577179i | −0.0276052 | − | 0.0229408i | ||||
\(634\) | −6.50386 | + | 1.14681i | −0.258301 | + | 0.0455455i | ||||
\(635\) | −16.6180 | − | 2.02665i | −0.659465 | − | 0.0804250i | ||||
\(636\) | −9.04282 | − | 12.7847i | −0.358571 | − | 0.506947i | ||||
\(637\) | 0.356661 | + | 4.07666i | 0.0141314 | + | 0.161523i | ||||
\(638\) | 13.6333 | − | 50.8802i | 0.539748 | − | 2.01437i | ||||
\(639\) | −0.116742 | + | 0.141845i | −0.00461824 | + | 0.00561129i | ||||
\(640\) | −1.52633 | − | 1.63411i | −0.0603335 | − | 0.0645939i | ||||
\(641\) | −2.49833 | − | 6.86411i | −0.0986782 | − | 0.271116i | 0.880524 | − | 0.474001i | \(-0.157191\pi\) |
−0.979203 | + | 0.202885i | \(0.934968\pi\) | |||||||
\(642\) | −0.0922679 | − | 19.4110i | −0.00364153 | − | 0.766089i | ||||
\(643\) | 3.42538 | − | 39.1523i | 0.135084 | − | 1.54402i | −0.562066 | − | 0.827092i | \(-0.689993\pi\) |
0.697150 | − | 0.716925i | \(-0.254451\pi\) | |||||||
\(644\) | 4.44095 | + | 1.61637i | 0.174998 | + | 0.0636941i | ||||
\(645\) | −2.94903 | + | 25.1766i | −0.116118 | + | 0.991327i | ||||
\(646\) | 3.59164 | − | 20.3692i | 0.141311 | − | 0.801415i | ||||
\(647\) | 24.0132 | − | 24.0132i | 0.944058 | − | 0.944058i | −0.0544579 | − | 0.998516i | \(-0.517343\pi\) |
0.998516 | + | 0.0544579i | \(0.0173431\pi\) | |||||||
\(648\) | −5.02109 | + | 7.46918i | −0.197247 | + | 0.293417i | ||||
\(649\) | 15.6809i | 0.615528i | ||||||||
\(650\) | −1.30333 | + | 1.35406i | −0.0511210 | + | 0.0531108i | ||||
\(651\) | 14.9072 | − | 21.5065i | 0.584258 | − | 0.842907i | ||||
\(652\) | −0.400726 | − | 0.859359i | −0.0156936 | − | 0.0336551i | ||||
\(653\) | 1.84923 | + | 0.161787i | 0.0723659 | + | 0.00633120i | 0.123281 | − | 0.992372i | \(-0.460658\pi\) |
−0.0509153 | + | 0.998703i | \(0.516214\pi\) | |||||||
\(654\) | 2.72539 | + | 2.69961i | 0.106571 | + | 0.105563i | ||||
\(655\) | −18.4572 | + | 20.5325i | −0.721181 | + | 0.802270i | ||||
\(656\) | −4.19595 | − | 2.42253i | −0.163824 | − | 0.0945840i | ||||
\(657\) | 11.5314 | + | 16.1398i | 0.449883 | + | 0.629673i | ||||
\(658\) | −29.9828 | − | 8.03385i | −1.16885 | − | 0.313192i | ||||
\(659\) | −7.92888 | − | 6.65312i | −0.308865 | − | 0.259169i | 0.475158 | − | 0.879901i | \(-0.342391\pi\) |
−0.784023 | + | 0.620732i | \(0.786835\pi\) | |||||||
\(660\) | −19.1282 | + | 6.33316i | −0.744566 | + | 0.246518i | ||||
\(661\) | 4.12789 | + | 23.4104i | 0.160556 | + | 0.910561i | 0.953529 | + | 0.301303i | \(0.0974215\pi\) |
−0.792972 | + | 0.609258i | \(0.791467\pi\) | |||||||
\(662\) | 7.59641 | + | 5.31906i | 0.295243 | + | 0.206731i | ||||
\(663\) | −2.54202 | + | 3.05888i | −0.0987240 | + | 0.118797i | ||||
\(664\) | 3.07000 | − | 3.65868i | 0.119139 | − | 0.141985i | ||||
\(665\) | 7.22814 | + | 31.1922i | 0.280295 | + | 1.20958i | ||||
\(666\) | 13.3106 | − | 11.3863i | 0.515775 | − | 0.441210i | ||||
\(667\) | 10.9283 | − | 2.92824i | 0.423147 | − | 0.113382i | ||||
\(668\) | 4.54577 | + | 2.11973i | 0.175881 | + | 0.0820147i | ||||
\(669\) | −14.5240 | − | 3.81779i | −0.561530 | − | 0.147604i | ||||
\(670\) | 0.506038 | + | 0.203972i | 0.0195500 | + | 0.00788012i | ||||
\(671\) | −13.6038 | + | 37.3762i | −0.525170 | + | 1.44289i | ||||
\(672\) | 6.89543 | + | 2.47268i | 0.265997 | + | 0.0953856i | ||||
\(673\) | −4.06091 | − | 5.79958i | −0.156537 | − | 0.223558i | 0.733221 | − | 0.679990i | \(-0.238016\pi\) |
−0.889758 | + | 0.456432i | \(0.849127\pi\) | |||||||
\(674\) | −35.1675 | −1.35460 | ||||||||
\(675\) | −5.88385 | + | 25.3057i | −0.226470 | + | 0.974018i | ||||
\(676\) | 12.8587 | 0.494566 | ||||||||
\(677\) | 13.5327 | + | 19.3267i | 0.520105 | + | 0.742787i | 0.990174 | − | 0.139843i | \(-0.0446597\pi\) |
−0.470068 | + | 0.882630i | \(0.655771\pi\) | |||||||
\(678\) | 1.66324 | − | 1.40915i | 0.0638764 | − | 0.0541182i | ||||
\(679\) | −22.6533 | + | 62.2395i | −0.869355 | + | 2.38853i | ||||
\(680\) | −12.6697 | − | 5.10686i | −0.485861 | − | 0.195839i | ||||
\(681\) | 2.83170 | + | 10.3706i | 0.108511 | + | 0.397403i | ||||
\(682\) | −16.8434 | − | 7.85421i | −0.644967 | − | 0.300753i | ||||
\(683\) | −45.4832 | + | 12.1872i | −1.74037 | + | 0.466330i | −0.982529 | − | 0.186112i | \(-0.940411\pi\) |
−0.757839 | + | 0.652442i | \(0.773745\pi\) | |||||||
\(684\) | 4.99471 | − | 8.84422i | 0.190978 | − | 0.338167i | ||||
\(685\) | −6.41104 | − | 27.6661i | −0.244953 | − | 1.05707i | ||||
\(686\) | 10.5670 | − | 12.5933i | 0.403452 | − | 0.480815i | ||||
\(687\) | 14.3870 | + | 38.9509i | 0.548898 | + | 1.48607i | ||||
\(688\) | −5.36136 | − | 3.75406i | −0.204400 | − | 0.143122i | ||||
\(689\) | −0.590119 | − | 3.34673i | −0.0224818 | − | 0.127500i | ||||
\(690\) | −3.23226 | − | 2.87790i | −0.123050 | − | 0.109560i | ||||
\(691\) | 12.4777 | + | 10.4701i | 0.474675 | + | 0.398300i | 0.848497 | − | 0.529201i | \(-0.177508\pi\) |
−0.373821 | + | 0.927501i | \(0.621953\pi\) | |||||||
\(692\) | 5.48283 | + | 1.46912i | 0.208426 | + | 0.0558476i | ||||
\(693\) | 46.2300 | − | 47.1174i | 1.75613 | − | 1.78984i | ||||
\(694\) | 16.0764 | + | 9.28171i | 0.610252 | + | 0.352329i | ||||
\(695\) | 6.52766 | − | 7.26163i | 0.247608 | − | 0.275449i | ||||
\(696\) | 16.9174 | − | 4.61931i | 0.641254 | − | 0.175095i | ||||
\(697\) | −29.4861 | − | 2.57970i | −1.11686 | − | 0.0977129i | ||||
\(698\) | 4.15527 | + | 8.91100i | 0.157279 | + | 0.337286i | ||||
\(699\) | 20.1661 | + | 1.66776i | 0.762753 | + | 0.0630803i | ||||
\(700\) | 21.1427 | − | 0.403616i | 0.799118 | − | 0.0152553i | ||||
\(701\) | − | 20.7744i | − | 0.784637i | −0.919829 | − | 0.392319i | \(-0.871673\pi\) | ||
0.919829 | − | 0.392319i | \(-0.128327\pi\) | |||||||
\(702\) | −1.67737 | + | 1.00059i | −0.0633082 | + | 0.0377648i | ||||
\(703\) | −13.9783 | + | 13.9783i | −0.527202 | + | 0.527202i | ||||
\(704\) | 0.903414 | − | 5.12351i | 0.0340487 | − | 0.193100i | ||||
\(705\) | 22.7964 | + | 16.9800i | 0.858560 | + | 0.639504i | ||||
\(706\) | 3.07698 | + | 1.11993i | 0.115804 | + | 0.0421491i | ||||
\(707\) | −3.24373 | + | 37.0760i | −0.121993 | + | 1.39439i | ||||
\(708\) | −4.50865 | + | 2.63172i | −0.169445 | + | 0.0989062i | ||||
\(709\) | −13.3009 | − | 36.5440i | −0.499527 | − | 1.37244i | −0.891733 | − | 0.452561i | \(-0.850510\pi\) |
0.392207 | − | 0.919877i | \(-0.371712\pi\) | |||||||
\(710\) | −0.0934664 | − | 0.100066i | −0.00350773 | − | 0.00375542i | ||||
\(711\) | −15.4484 | + | 2.87566i | −0.579361 | + | 0.107846i | ||||
\(712\) | 2.40119 | − | 8.96137i | 0.0899885 | − | 0.335842i | ||||
\(713\) | −0.347900 | − | 3.97652i | −0.0130290 | − | 0.148922i | ||||
\(714\) | 44.5616 | − | 4.11217i | 1.66768 | − | 0.153894i | ||||
\(715\) | −4.34057 | − | 0.529354i | −0.162328 | − | 0.0197967i | ||||
\(716\) | −14.0319 | + | 2.47421i | −0.524398 | + | 0.0924655i | ||||
\(717\) | −5.39684 | + | 31.4813i | −0.201549 | + | 1.17569i | ||||
\(718\) | 16.4275 | − | 1.43722i | 0.613067 | − | 0.0536365i | ||||
\(719\) | −6.20709 | − | 10.7510i | −0.231485 | − | 0.400945i | 0.726760 | − | 0.686891i | \(-0.241025\pi\) |
−0.958245 | + | 0.285947i | \(0.907692\pi\) | |||||||
\(720\) | −5.03124 | − | 4.43696i | −0.187503 | − | 0.165356i | ||||
\(721\) | 0.00370644 | − | 0.00641974i | 0.000138035 | − | 0.000239083i | ||||
\(722\) | 3.18526 | − | 6.83081i | 0.118543 | − | 0.254216i | ||||
\(723\) | −8.61816 | + | 0.0409655i | −0.320513 | + | 0.00152352i | ||||
\(724\) | −8.42604 | − | 10.0418i | −0.313151 | − | 0.373199i | ||||
\(725\) | 40.9072 | − | 29.8231i | 1.51926 | − | 1.10760i | ||||
\(726\) | −22.8711 | − | 15.8530i | −0.848825 | − | 0.588360i | ||||
\(727\) | 11.1593 | − | 7.81380i | 0.413874 | − | 0.289798i | −0.348035 | − | 0.937481i | \(-0.613151\pi\) |
0.761909 | + | 0.647684i | \(0.224262\pi\) | |||||||
\(728\) | 1.12410 | + | 1.12410i | 0.0416619 | + | 0.0416619i | ||||
\(729\) | −12.8277 | + | 23.7581i | −0.475101 | + | 0.879931i | ||||
\(730\) | −13.0486 | + | 6.95174i | −0.482950 | + | 0.257295i | ||||
\(731\) | −39.3763 | − | 6.94310i | −1.45638 | − | 0.256800i | ||||
\(732\) | −13.0298 | + | 2.36141i | −0.481594 | + | 0.0872803i | ||||
\(733\) | 15.6829 | − | 7.31307i | 0.579263 | − | 0.270115i | −0.110826 | − | 0.993840i | \(-0.535349\pi\) |
0.690088 | + | 0.723725i | \(0.257572\pi\) | |||||||
\(734\) | 25.0724 | − | 21.0382i | 0.925437 | − | 0.776534i | ||||
\(735\) | −37.1189 | + | 20.0025i | −1.36915 | + | 0.737802i | ||||
\(736\) | 1.05004 | − | 0.382184i | 0.0387051 | − | 0.0140875i | ||||
\(737\) | 0.328551 | + | 1.22617i | 0.0121023 | + | 0.0451665i | ||||
\(738\) | −13.2312 | − | 6.01733i | −0.487046 | − | 0.221501i | ||||
\(739\) | 28.8265 | − | 16.6430i | 1.06040 | − | 0.612223i | 0.134858 | − | 0.990865i | \(-0.456942\pi\) |
0.925543 | + | 0.378642i | \(0.123609\pi\) | |||||||
\(740\) | 7.11967 | + | 10.9437i | 0.261724 | + | 0.402300i | ||||
\(741\) | 1.79959 | − | 1.27288i | 0.0661095 | − | 0.0467602i | ||||
\(742\) | −21.9320 | + | 31.3222i | −0.805151 | + | 1.14987i | ||||
\(743\) | −10.3182 | + | 14.7359i | −0.378537 | + | 0.540607i | −0.962538 | − | 0.271146i | \(-0.912598\pi\) |
0.584001 | + | 0.811753i | \(0.301486\pi\) | |||||||
\(744\) | −0.568547 | − | 6.16108i | −0.0208440 | − | 0.225876i | ||||
\(745\) | −0.347665 | + | 1.64223i | −0.0127374 | + | 0.0601667i | ||||
\(746\) | −5.37216 | + | 3.10162i | −0.196689 | + | 0.113558i | ||||
\(747\) | 8.10638 | − | 11.8146i | 0.296597 | − | 0.432273i | ||||
\(748\) | −8.22594 | − | 30.6996i | −0.300770 | − | 1.12249i | ||||
\(749\) | −44.5396 | + | 16.2111i | −1.62744 | + | 0.592340i | ||||
\(750\) | −18.1282 | − | 6.80933i | −0.661950 | − | 0.248641i | ||||
\(751\) | 15.4184 | − | 12.9376i | 0.562627 | − | 0.472100i | −0.316563 | − | 0.948571i | \(-0.602529\pi\) |
0.879190 | + | 0.476471i | \(0.158084\pi\) | |||||||
\(752\) | −6.65173 | + | 3.10175i | −0.242563 | + | 0.113109i | ||||
\(753\) | 7.65016 | − | 21.3336i | 0.278787 | − | 0.777441i | ||||
\(754\) | 3.74793 | + | 0.660860i | 0.136491 | + | 0.0240671i | ||||
\(755\) | −2.62707 | − | 4.93106i | −0.0956087 | − | 0.179460i | ||||
\(756\) | 21.3062 | + | 5.38457i | 0.774901 | + | 0.195835i | ||||
\(757\) | −18.5041 | − | 18.5041i | −0.672541 | − | 0.672541i | 0.285760 | − | 0.958301i | \(-0.407754\pi\) |
−0.958301 | + | 0.285760i | \(0.907754\pi\) | |||||||
\(758\) | −5.58836 | + | 3.91301i | −0.202979 | + | 0.142127i | ||||
\(759\) | 0.829905 | − | 10.0350i | 0.0301236 | − | 0.364248i | ||||
\(760\) | 6.04993 | + | 4.55121i | 0.219454 | + | 0.165090i | ||||
\(761\) | 13.7056 | + | 16.3338i | 0.496829 | + | 0.592098i | 0.954941 | − | 0.296797i | \(-0.0959184\pi\) |
−0.458111 | + | 0.888895i | \(0.651474\pi\) | |||||||
\(762\) | 6.43035 | − | 11.2610i | 0.232947 | − | 0.407942i | ||||
\(763\) | 3.95864 | − | 8.48934i | 0.143313 | − | 0.307335i | ||||
\(764\) | −0.718252 | + | 1.24405i | −0.0259854 | + | 0.0450081i | ||||
\(765\) | −39.3116 | − | 11.5764i | −1.42131 | − | 0.418544i | ||||
\(766\) | −1.72684 | − | 2.99098i | −0.0623934 | − | 0.108069i | ||||
\(767\) | −1.12862 | + | 0.0987416i | −0.0407522 | + | 0.00356535i | ||||
\(768\) | 1.62476 | − | 0.600126i | 0.0586285 | − | 0.0216552i | ||||
\(769\) | 13.6805 | − | 2.41225i | 0.493332 | − | 0.0869878i | 0.0785532 | − | 0.996910i | \(-0.474970\pi\) |
0.414779 | + | 0.909922i | \(0.363859\pi\) | |||||||
\(770\) | 30.3226 | + | 38.7459i | 1.09275 | + | 1.39630i | ||||
\(771\) | 1.46535 | − | 3.18185i | 0.0527733 | − | 0.114592i | ||||
\(772\) | 1.71347 | + | 19.5850i | 0.0616690 | + | 0.704880i | ||||
\(773\) | −7.16421 | + | 26.7372i | −0.257679 | + | 0.961671i | 0.708902 | + | 0.705307i | \(0.249191\pi\) |
−0.966580 | + | 0.256363i | \(0.917476\pi\) | |||||||
\(774\) | −17.0970 | − | 9.65542i | −0.614539 | − | 0.347057i | ||||
\(775\) | −7.85601 | − | 16.0406i | −0.282196 | − | 0.576196i | ||||
\(776\) | 5.35628 | + | 14.7163i | 0.192279 | + | 0.528283i | ||||
\(777\) | −37.1420 | − | 21.2092i | −1.33246 | − | 0.760876i | ||||
\(778\) | 1.04071 | − | 11.8954i | 0.0373112 | − | 0.426469i | ||||
\(779\) | 15.4147 | + | 5.61050i | 0.552289 | + | 0.201017i | ||||
\(780\) | −0.576276 | − | 1.33687i | −0.0206340 | − | 0.0478675i | ||||
\(781\) | 0.0553214 | − | 0.313743i | 0.00197956 | − | 0.0112266i | ||||
\(782\) | 4.82702 | − | 4.82702i | 0.172614 | − | 0.172614i | ||||
\(783\) | 49.1759 | − | 18.6969i | 1.75740 | − | 0.668173i | ||||
\(784\) | − | 10.8870i | − | 0.388822i | ||||||
\(785\) | 13.6032 | + | 6.91718i | 0.485519 | + | 0.246885i | ||||
\(786\) | −9.13003 | − | 19.3389i | −0.325657 | − | 0.689795i | ||||
\(787\) | 1.63245 | + | 3.50081i | 0.0581906 | + | 0.124790i | 0.933253 | − | 0.359220i | \(-0.116957\pi\) |
−0.875062 | + | 0.484011i | \(0.839180\pi\) | |||||||
\(788\) | −19.6896 | − | 1.72262i | −0.701413 | − | 0.0613657i | ||||
\(789\) | 4.92507 | − | 18.7364i | 0.175337 | − | 0.667033i | ||||
\(790\) | −0.622536 | − | 11.6958i | −0.0221488 | − | 0.416118i | ||||
\(791\) | −4.60979 | − | 2.66146i | −0.163905 | − | 0.0946308i | ||||
\(792\) | 1.21242 | − | 15.5605i | 0.0430816 | − | 0.552918i | ||||
\(793\) | −2.77580 | − | 0.743773i | −0.0985715 | − | 0.0264122i | ||||
\(794\) | −1.99545 | − | 1.67438i | −0.0708160 | − | 0.0594217i | ||||
\(795\) | 29.2600 | − | 19.2343i | 1.03775 | − | 0.682170i | ||||
\(796\) | 1.35199 | + | 7.66752i | 0.0479201 | + | 0.271768i | ||||
\(797\) | 10.3397 | + | 7.23990i | 0.366249 | + | 0.256451i | 0.742185 | − | 0.670195i | \(-0.233790\pi\) |
−0.375935 | + | 0.926646i | \(0.622679\pi\) | |||||||
\(798\) | −24.4450 | − | 4.19060i | −0.865343 | − | 0.148346i | ||||
\(799\) | −28.8203 | + | 34.3467i | −1.01959 | + | 1.21510i | ||||
\(800\) | 3.76818 | − | 3.28646i | 0.133225 | − | 0.116194i | ||||
\(801\) | 4.57227 | − | 27.4543i | 0.161553 | − | 0.970052i | ||||
\(802\) | 6.52481 | − | 1.74832i | 0.230399 | − | 0.0617353i | ||||
\(803\) | −31.1763 | − | 14.5377i | −1.10019 | − | 0.513026i | ||||
\(804\) | −0.297414 | + | 0.300255i | −0.0104890 | + | 0.0105892i | ||||
\(805\) | −3.95067 | + | 9.80132i | −0.139243 | + | 0.345451i | ||||
\(806\) | 0.459240 | − | 1.26175i | 0.0161761 | − | 0.0444433i | ||||
\(807\) | −2.90451 | − | 16.0265i | −0.102244 | − | 0.564158i | ||||
\(808\) | 5.04744 | + | 7.20849i | 0.177568 | + | 0.253594i | ||||
\(809\) | −9.03399 | −0.317618 | −0.158809 | − | 0.987309i | \(-0.550765\pi\) | ||||
−0.158809 | + | 0.987309i | \(0.550765\pi\) | |||||||
\(810\) | −16.3092 | − | 11.7902i | −0.573048 | − | 0.414266i | ||||
\(811\) | −18.4143 | −0.646613 | −0.323307 | − | 0.946294i | \(-0.604795\pi\) | ||||
−0.323307 | + | 0.946294i | \(0.604795\pi\) | |||||||
\(812\) | −24.5612 | − | 35.0770i | −0.861928 | − | 1.23096i | ||||
\(813\) | 0.425455 | + | 2.34757i | 0.0149214 | + | 0.0823329i | ||||
\(814\) | −10.3893 | + | 28.5445i | −0.364146 | + | 1.00048i | ||||
\(815\) | 1.95101 | − | 0.830037i | 0.0683409 | − | 0.0290749i | ||||
\(816\) | 7.44636 | − | 7.51749i | 0.260675 | − | 0.263165i | ||||
\(817\) | 20.0833 | + | 9.36501i | 0.702627 | + | 0.327640i | ||||
\(818\) | −3.75502 | + | 1.00616i | −0.131291 | + | 0.0351794i | ||||
\(819\) | 3.68236 | + | 3.03068i | 0.128672 | + | 0.105901i | ||||
\(820\) | 5.73358 | − | 9.19235i | 0.200225 | − | 0.321011i | ||||
\(821\) | −2.83979 | + | 3.38433i | −0.0991094 | + | 0.118114i | −0.813319 | − | 0.581818i | \(-0.802342\pi\) |
0.714210 | + | 0.699932i | \(0.246786\pi\) | |||||||
\(822\) | 21.6816 | + | 3.71688i | 0.756233 | + | 0.129641i | ||||
\(823\) | 33.4072 | + | 23.3920i | 1.16450 | + | 0.815394i | 0.985703 | − | 0.168492i | \(-0.0538896\pi\) |
0.178800 | + | 0.983885i | \(0.442779\pi\) | |||||||
\(824\) | −0.000304360 | − | 0.00172611i | −1.06029e−5 | − | 6.01320e-5i | ||||
\(825\) | −12.6954 | − | 43.2298i | −0.441996 | − | 1.50507i | ||||
\(826\) | 9.76509 | + | 8.19389i | 0.339771 | + | 0.285102i | ||||
\(827\) | −1.19491 | − | 0.320175i | −0.0415511 | − | 0.0111336i | 0.237984 | − | 0.971269i | \(-0.423514\pi\) |
−0.279535 | + | 0.960136i | \(0.590180\pi\) | |||||||
\(828\) | 3.02461 | − | 1.44556i | 0.105112 | − | 0.0502367i | ||||
\(829\) | −16.1883 | − | 9.34633i | −0.562243 | − | 0.324611i | 0.191802 | − | 0.981434i | \(-0.438567\pi\) |
−0.754045 | + | 0.656822i | \(0.771900\pi\) | |||||||
\(830\) | 7.94235 | + | 7.13958i | 0.275683 | + | 0.247818i | ||||
\(831\) | 12.7328 | − | 48.4395i | 0.441697 | − | 1.68035i | ||||
\(832\) | 0.374451 | + | 0.0327602i | 0.0129818 | + | 0.00113576i | ||||
\(833\) | −28.1080 | − | 60.2778i | −0.973885 | − | 2.08850i | ||||
\(834\) | 3.22898 | + | 6.83950i | 0.111810 | + | 0.236832i | ||||
\(835\) | −5.08354 | + | 9.99720i | −0.175923 | + | 0.345967i | ||||
\(836\) | 17.6143i | 0.609205i | ||||||||
\(837\) | −3.48355 | − | 18.2320i | −0.120409 | − | 0.630189i | ||||
\(838\) | 10.0801 | − | 10.0801i | 0.348212 | − | 0.348212i | ||||
\(839\) | −0.681446 | + | 3.86467i | −0.0235261 | + | 0.133423i | −0.994309 | − | 0.106538i | \(-0.966024\pi\) |
0.970783 | + | 0.239961i | \(0.0771346\pi\) | |||||||
\(840\) | −6.05137 | + | 15.2212i | −0.208792 | + | 0.525183i | ||||
\(841\) | −69.0793 | − | 25.1428i | −2.38204 | − | 0.866993i | ||||
\(842\) | −2.48445 | + | 28.3974i | −0.0856197 | + | 0.978638i | ||||
\(843\) | 48.9930 | + | 27.9765i | 1.68741 | + | 0.963560i | ||||
\(844\) | 0.178323 | + | 0.489937i | 0.00613811 | + | 0.0168643i | ||||
\(845\) | −0.979979 | + | 28.7363i | −0.0337123 | + | 0.988557i | ||||
\(846\) | −18.9627 | + | 11.1898i | −0.651952 | + | 0.384714i | ||||
\(847\) | −17.5869 | + | 65.6350i | −0.604292 | + | 2.25525i | ||||
\(848\) | 0.787979 | + | 9.00664i | 0.0270593 | + | 0.309289i | ||||
\(849\) | 18.9967 | − | 41.2494i | 0.651966 | − | 1.41568i | ||||
\(850\) | 12.3782 | − | 27.9247i | 0.424569 | − | 0.957809i | ||||
\(851\) | −6.42529 | + | 1.13295i | −0.220256 | + | 0.0388371i | ||||
\(852\) | 0.0994938 | − | 0.0367493i | 0.00340860 | − | 0.00125901i | ||||
\(853\) | −48.3346 | + | 4.22873i | −1.65494 | + | 0.144789i | −0.876002 | − | 0.482307i | \(-0.839799\pi\) |
−0.778942 | + | 0.627096i | \(0.784243\pi\) | |||||||
\(854\) | 16.1671 | + | 28.0023i | 0.553227 | + | 0.958217i | ||||
\(855\) | 19.3841 | + | 11.8361i | 0.662923 | + | 0.404785i | ||||
\(856\) | −5.60352 | + | 9.70559i | −0.191524 | + | 0.331730i | ||||
\(857\) | 22.3284 | − | 47.8835i | 0.762725 | − | 1.63567i | −0.00920138 | − | 0.999958i | \(-0.502929\pi\) |
0.771927 | − | 0.635712i | \(-0.219293\pi\) | |||||||
\(858\) | 1.67959 | − | 2.94133i | 0.0573402 | − | 0.100415i | ||||
\(859\) | 15.5714 | + | 18.5573i | 0.531291 | + | 0.633168i | 0.963212 | − | 0.268744i | \(-0.0866084\pi\) |
−0.431921 | + | 0.901912i | \(0.642164\pi\) | |||||||
\(860\) | 8.79806 | − | 11.6953i | 0.300011 | − | 0.398806i | ||||
\(861\) | −2.92523 | + | 35.3712i | −0.0996914 | + | 1.20545i | ||||
\(862\) | 31.8796 | − | 22.3224i | 1.08582 | − | 0.760302i | ||||
\(863\) | −13.3492 | − | 13.3492i | −0.454411 | − | 0.454411i | 0.442405 | − | 0.896816i | \(-0.354126\pi\) |
−0.896816 | + | 0.442405i | \(0.854126\pi\) | |||||||
\(864\) | 4.67752 | − | 2.26292i | 0.159132 | − | 0.0769861i | ||||
\(865\) | −3.70100 | + | 12.1409i | −0.125838 | + | 0.412803i | ||||
\(866\) | 11.8475 | + | 2.08903i | 0.402594 | + | 0.0709881i | ||||
\(867\) | 11.8803 | − | 33.1301i | 0.403478 | − | 1.12516i | ||||
\(868\) | −13.6925 | + | 6.38491i | −0.464753 | + | 0.216718i | ||||
\(869\) | 20.8752 | − | 17.5163i | 0.708141 | − | 0.594201i | ||||
\(870\) | 9.03380 | + | 38.1586i | 0.306274 | + | 1.29370i | ||||
\(871\) | −0.0861839 | + | 0.0313684i | −0.00292023 | + | 0.00106288i | ||||
\(872\) | −0.573225 | − | 2.13931i | −0.0194119 | − | 0.0724460i | ||||
\(873\) | 20.2594 | + | 42.3896i | 0.685677 | + | 1.43467i | ||||
\(874\) | −3.27644 | + | 1.89165i | −0.110827 | + | 0.0639861i | ||||
\(875\) | −0.709321 | + | 47.2798i | −0.0239794 | + | 1.59835i | ||||
\(876\) | −1.05235 | − | 11.4039i | −0.0355557 | − | 0.385301i | ||||
\(877\) | −2.48312 | + | 3.54626i | −0.0838489 | + | 0.119749i | −0.858885 | − | 0.512168i | \(-0.828843\pi\) |
0.775036 | + | 0.631917i | \(0.217731\pi\) | |||||||
\(878\) | −21.6411 | + | 30.9067i | −0.730352 | + | 1.04305i | ||||
\(879\) | 32.9241 | − | 23.2877i | 1.11050 | − | 0.785475i | ||||
\(880\) | 11.3810 | + | 2.40939i | 0.383654 | + | 0.0812206i | ||||
\(881\) | −15.2989 | + | 8.83285i | −0.515434 | + | 0.297586i | −0.735065 | − | 0.677997i | \(-0.762848\pi\) |
0.219630 | + | 0.975583i | \(0.429515\pi\) | |||||||
\(882\) | −3.15578 | − | 32.5083i | −0.106261 | − | 1.09461i | ||||
\(883\) | −14.0502 | − | 52.4360i | −0.472826 | − | 1.76461i | −0.629542 | − | 0.776967i | \(-0.716757\pi\) |
0.156716 | − | 0.987644i | \(-0.449909\pi\) | |||||||
\(884\) | 2.15779 | − | 0.785372i | 0.0725744 | − | 0.0264149i | ||||
\(885\) | −5.53768 | − | 10.2764i | −0.186147 | − | 0.345436i | ||||
\(886\) | 28.4678 | − | 23.8873i | 0.956393 | − | 0.802509i | ||||
\(887\) | −24.2523 | + | 11.3090i | −0.814313 | + | 0.379721i | −0.784727 | − | 0.619842i | \(-0.787197\pi\) |
−0.0295865 | + | 0.999562i | \(0.509419\pi\) | |||||||
\(888\) | −9.95092 | + | 1.80343i | −0.333931 | + | 0.0605190i | ||||
\(889\) | −31.1831 | − | 5.49843i | −1.04585 | − | 0.184411i | ||||
\(890\) | 19.8436 | + | 6.04907i | 0.665159 | + | 0.202765i | ||||
\(891\) | −0.890212 | − | 46.8145i | −0.0298232 | − | 1.56835i | ||||
\(892\) | 6.13082 | + | 6.13082i | 0.205275 | + | 0.205275i | ||||
\(893\) | 20.3551 | − | 14.2528i | 0.681157 | − | 0.476951i | ||||
\(894\) | −1.06864 | − | 0.740727i | −0.0357408 | − | 0.0247736i | ||||
\(895\) | −4.45989 | − | 31.5467i | −0.149078 | − | 1.05449i | ||||
\(896\) | −2.71855 | − | 3.23984i | −0.0908202 | − | 0.108235i | ||||
\(897\) | 0.727491 | − | 0.00345805i | 0.0242902 | − | 0.000115461i | ||||
\(898\) | 16.5216 | − | 35.4306i | 0.551332 | − | 1.18234i | ||||
\(899\) | −18.0841 | + | 31.3225i | −0.603138 | + | 1.04467i | ||||
\(900\) | 10.2990 | − | 10.9055i | 0.343301 | − | 0.363517i | ||||
\(901\) | 27.6160 | + | 47.8324i | 0.920024 | + | 1.59353i | ||||
\(902\) | 25.1108 | − | 2.19691i | 0.836098 | − | 0.0731491i | ||||
\(903\) | −8.10097 | + | 47.2553i | −0.269583 | + | 1.57256i | ||||
\(904\) | −1.23946 | + | 0.218550i | −0.0412239 | + | 0.00726888i | ||||
\(905\) | 23.0832 | − | 18.0650i | 0.767311 | − | 0.600500i | ||||
\(906\) | 4.30952 | − | 0.397684i | 0.143174 | − | 0.0132122i | ||||
\(907\) | 0.342126 | + | 3.91052i | 0.0113601 | + | 0.129847i | 0.999757 | − | 0.0220472i | \(-0.00701840\pi\) |
−0.988397 | + | 0.151894i | \(0.951463\pi\) | |||||||
\(908\) | 1.60640 | − | 5.99518i | 0.0533104 | − | 0.198957i | ||||
\(909\) | 17.1610 | + | 20.0612i | 0.569193 | + | 0.665388i | ||||
\(910\) | −2.59777 | + | 2.42643i | −0.0861153 | + | 0.0804355i | ||||
\(911\) | 10.6171 | + | 29.1702i | 0.351760 | + | 0.966452i | 0.981805 | + | 0.189893i | \(0.0608143\pi\) |
−0.630045 | + | 0.776559i | \(0.716964\pi\) | |||||||
\(912\) | −5.06457 | + | 2.95622i | −0.167705 | + | 0.0978902i | ||||
\(913\) | −2.16563 | + | 24.7532i | −0.0716718 | + | 0.819212i | ||||
\(914\) | −8.34368 | − | 3.03685i | −0.275985 | − | 0.100450i | ||||
\(915\) | −4.28420 | − | 29.2985i | −0.141631 | − | 0.968577i | ||||
\(916\) | 4.16292 | − | 23.6091i | 0.137547 | − | 0.780066i | ||||
\(917\) | −36.9248 | + | 36.9248i | −1.21936 | + | 1.21936i | ||||
\(918\) | 20.0555 | − | 24.6054i | 0.661930 | − | 0.812099i | ||||
\(919\) | 36.3601i | 1.19941i | 0.800222 | + | 0.599705i | \(0.204715\pi\) | ||||
−0.800222 | + | 0.599705i | \(0.795285\pi\) | |||||||
\(920\) | 0.774069 | + | 2.37573i | 0.0255203 | + | 0.0783255i | ||||
\(921\) | −25.2684 | − | 2.08972i | −0.832622 | − | 0.0688586i | ||||
\(922\) | −14.2273 | − | 30.5105i | −0.468550 | − | 1.00481i | ||||
\(923\) | 0.0229299 | + | 0.00200610i | 0.000754746 | + | 6.60317e-5i | ||||
\(924\) | −36.7647 | + | 10.0386i | −1.20947 | + | 0.330247i | ||||
\(925\) | −24.9993 | + | 15.0768i | −0.821973 | + | 0.495721i | ||||
\(926\) | 8.57266 | + | 4.94943i | 0.281715 | + | 0.162648i | ||||
\(927\) | −0.00140915 | − | 0.00506588i | −4.62826e−5 | − | 0.000166385i | ||||
\(928\) | −9.77986 | − | 2.62050i | −0.321040 | − | 0.0860223i | ||||
\(929\) | −23.1288 | − | 19.4073i | −0.758830 | − | 0.636734i | 0.178992 | − | 0.983850i | \(-0.442716\pi\) |
−0.937822 | + | 0.347117i | \(0.887161\pi\) | |||||||
\(930\) | 13.8119 | − | 0.801028i | 0.452911 | − | 0.0262667i | ||||
\(931\) | 6.40073 | + | 36.3003i | 0.209775 | + | 1.18969i | ||||
\(932\) | −9.56988 | − | 6.70090i | −0.313472 | − | 0.219495i | ||||
\(933\) | −8.50779 | − | 23.0337i | −0.278533 | − | 0.754090i | ||||
\(934\) | 5.10847 | − | 6.08804i | 0.167154 | − | 0.199207i | ||||
\(935\) | 69.2335 | − | 16.0434i | 2.26418 | − | 0.524676i | ||||
\(936\) | 1.12759 | − | 0.0107200i | 0.0368565 | − | 0.000350395i | ||||
\(937\) | −5.91649 | + | 1.58532i | −0.193283 | + | 0.0517901i | −0.354162 | − | 0.935184i | \(-0.615234\pi\) |
0.160879 | + | 0.986974i | \(0.448567\pi\) | |||||||
\(938\) | 0.935264 | + | 0.436121i | 0.0305375 | + | 0.0142398i | ||||
\(939\) | −3.04127 | − | 11.1381i | −0.0992482 | − | 0.363480i | ||||
\(940\) | −6.42476 | − | 15.1015i | −0.209553 | − | 0.492555i | ||||
\(941\) | 10.4752 | − | 28.7803i | 0.341481 | − | 0.938212i | −0.643484 | − | 0.765460i | \(-0.722512\pi\) |
0.984965 | − | 0.172753i | \(-0.0552661\pi\) | |||||||
\(942\) | −9.01921 | + | 7.64137i | −0.293862 | + | 0.248969i | ||||
\(943\) | 3.10536 | + | 4.43492i | 0.101125 | + | 0.144421i | ||||
\(944\) | 3.01407 | 0.0980996 | ||||||||
\(945\) | −13.6570 | + | 47.2042i | −0.444263 | + | 1.53555i | ||||
\(946\) | 34.0508 | 1.10709 | ||||||||
\(947\) | 4.41542 | + | 6.30587i | 0.143482 | + | 0.204913i | 0.884460 | − | 0.466616i | \(-0.154527\pi\) |
−0.740978 | + | 0.671529i | \(0.765638\pi\) | |||||||
\(948\) | 8.53988 | + | 3.06237i | 0.277362 | + | 0.0994611i | ||||
\(949\) | 0.850031 | − | 2.33544i | 0.0275932 | − | 0.0758116i | ||||
\(950\) | −10.6320 | + | 13.1734i | −0.344946 | + | 0.427400i | ||||
\(951\) | 11.0630 | + | 2.90802i | 0.358742 | + | 0.0942992i | ||||
\(952\) | −23.4163 | − | 10.9192i | −0.758925 | − | 0.353893i | ||||
\(953\) | 25.3300 | − | 6.78716i | 0.820520 | − | 0.219858i | 0.175946 | − | 0.984400i | \(-0.443701\pi\) |
0.644574 | + | 0.764542i | \(0.277035\pi\) | |||||||
\(954\) | 4.96360 | + | 26.6651i | 0.160703 | + | 0.863314i | ||||
\(955\) | −2.72542 | − | 1.69994i | −0.0881926 | − | 0.0550087i | ||||
\(956\) | 11.8536 | − | 14.1265i | 0.383372 | − | 0.456885i | ||||
\(957\) | −58.3124 | + | 70.1687i | −1.88497 | + | 2.26823i | ||||
\(958\) | −12.9137 | − | 9.04225i | −0.417222 | − | 0.292142i | ||||
\(959\) | −9.32739 | − | 52.8982i | −0.301197 | − | 1.70817i | ||||
\(960\) | 1.21732 | + | 3.67670i | 0.0392888 | + | 0.118665i | ||||
\(961\) | −13.9721 | − | 11.7240i | −0.450713 | − | 0.378193i | ||||
\(962\) | −2.11990 | − | 0.568024i | −0.0683482 | − | 0.0183138i | ||||
\(963\) | −13.9186 | + | 30.6048i | −0.448520 | + | 0.986226i | ||||
\(964\) | 4.30913 | + | 2.48788i | 0.138788 | + | 0.0801291i | ||||
\(965\) | −43.8985 | + | 2.33660i | −1.41314 | + | 0.0752179i | ||||
\(966\) | −5.81555 | − | 5.76052i | −0.187112 | − | 0.185342i | ||||
\(967\) | 46.8539 | + | 4.09918i | 1.50672 | + | 0.131821i | 0.810385 | − | 0.585898i | \(-0.199258\pi\) |
0.696333 | + | 0.717718i | \(0.254813\pi\) | |||||||
\(968\) | 6.79002 | + | 14.5613i | 0.218240 | + | 0.468016i | ||||
\(969\) | −20.4085 | + | 29.4433i | −0.655616 | + | 0.945854i | ||||
\(970\) | −33.2956 | + | 10.8485i | −1.06906 | + | 0.348324i | ||||
\(971\) | 52.7240i | 1.69199i | 0.533188 | + | 0.845997i | \(0.320994\pi\) | ||||
−0.533188 | + | 0.845997i | \(0.679006\pi\) | |||||||
\(972\) | 13.3110 | − | 8.11285i | 0.426949 | − | 0.260220i | ||||
\(973\) | 13.0590 | − | 13.0590i | 0.418653 | − | 0.418653i | ||||
\(974\) | 1.49444 | − | 8.47537i | 0.0478848 | − | 0.271568i | ||||
\(975\) | 3.03150 | − | 1.18596i | 0.0970858 | − | 0.0379811i | ||||
\(976\) | 7.18421 | + | 2.61484i | 0.229961 | + | 0.0836990i | ||||
\(977\) | 3.68487 | − | 42.1182i | 0.117889 | − | 1.34748i | −0.674866 | − | 0.737941i | \(-0.735798\pi\) |
0.792755 | − | 0.609541i | \(-0.208646\pi\) | |||||||
\(978\) | 0.00780654 | + | 1.64231i | 0.000249626 | + | 0.0525152i | ||||
\(979\) | 16.5082 | + | 45.3558i | 0.527603 | + | 1.44958i | ||||
\(980\) | 24.3300 | + | 0.829714i | 0.777193 | + | 0.0265042i | ||||
\(981\) | −2.33174 | − | 6.22173i | −0.0744468 | − | 0.198645i | ||||
\(982\) | 8.04072 | − | 30.0084i | 0.256590 | − | 0.957606i | ||||
\(983\) | −2.31573 | − | 26.4689i | −0.0738602 | − | 0.844226i | −0.939274 | − | 0.343168i | \(-0.888500\pi\) |
0.865414 | − | 0.501058i | \(-0.167056\pi\) | |||||||
\(984\) | 4.84602 | + | 6.85129i | 0.154485 | + | 0.218411i | ||||
\(985\) | 5.35022 | − | 43.8704i | 0.170472 | − | 1.39783i | ||||
\(986\) | −60.9134 | + | 10.7407i | −1.93988 | + | 0.342053i | ||||
\(987\) | 41.3491 | + | 34.3624i | 1.31616 | + | 1.09377i | ||||
\(988\) | −1.26778 | + | 0.110917i | −0.0403335 | + | 0.00352873i | ||||
\(989\) | 3.65680 | + | 6.33377i | 0.116280 | + | 0.201402i | ||||
\(990\) | 34.6817 | + | 3.89538i | 1.10226 | + | 0.123803i | ||||
\(991\) | −1.05011 | + | 1.81884i | −0.0333578 | + | 0.0577774i | −0.882222 | − | 0.470833i | \(-0.843953\pi\) |
0.848865 | + | 0.528610i | \(0.177287\pi\) | |||||||
\(992\) | −1.50968 | + | 3.23753i | −0.0479325 | + | 0.102792i | ||||
\(993\) | −8.09712 | − | 13.8719i | −0.256954 | − | 0.440212i | ||||
\(994\) | −0.166473 | − | 0.198395i | −0.00528020 | − | 0.00629269i | ||||
\(995\) | −17.2382 | + | 2.43704i | −0.546487 | + | 0.0772592i | ||||
\(996\) | −7.48064 | + | 3.53167i | −0.237033 | + | 0.111905i | ||||
\(997\) | 40.6738 | − | 28.4801i | 1.28815 | − | 0.901975i | 0.289675 | − | 0.957125i | \(-0.406453\pi\) |
0.998478 | + | 0.0551503i | \(0.0175638\pi\) | |||||||
\(998\) | 9.25966 | + | 9.25966i | 0.293109 | + | 0.293109i | ||||
\(999\) | −29.1903 | + | 8.26941i | −0.923541 | + | 0.261632i |
(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 | 270.2.r.a.137.13 | yes | 216 | |
3.2 | odd | 2 | 810.2.s.a.737.8 | 216 | |||
5.3 | odd | 4 | inner | 270.2.r.a.83.18 | ✓ | 216 | |
15.8 | even | 4 | 810.2.s.a.413.6 | 216 | |||
27.13 | even | 9 | 810.2.s.a.557.6 | 216 | |||
27.14 | odd | 18 | inner | 270.2.r.a.257.18 | yes | 216 | |
135.13 | odd | 36 | 810.2.s.a.233.8 | 216 | |||
135.68 | even | 36 | inner | 270.2.r.a.203.13 | yes | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
270.2.r.a.83.18 | ✓ | 216 | 5.3 | odd | 4 | inner | |
270.2.r.a.137.13 | yes | 216 | 1.1 | even | 1 | trivial | |
270.2.r.a.203.13 | yes | 216 | 135.68 | even | 36 | inner | |
270.2.r.a.257.18 | yes | 216 | 27.14 | odd | 18 | inner | |
810.2.s.a.233.8 | 216 | 135.13 | odd | 36 | |||
810.2.s.a.413.6 | 216 | 15.8 | even | 4 | |||
810.2.s.a.557.6 | 216 | 27.13 | even | 9 | |||
810.2.s.a.737.8 | 216 | 3.2 | odd | 2 |