Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(29,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bf (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 29.8 | ||
Character | \(\chi\) | \(=\) | 570.29 |
Dual form | 570.2.bf.a.59.8 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{17}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.984808 | + | 0.173648i | −0.696364 | + | 0.122788i | ||||
\(3\) | −0.977341 | − | 1.42997i | −0.564268 | − | 0.825592i | ||||
\(4\) | 0.939693 | − | 0.342020i | 0.469846 | − | 0.171010i | ||||
\(5\) | 0.640862 | + | 2.14226i | 0.286602 | + | 0.958050i | ||||
\(6\) | 1.21080 | + | 1.23853i | 0.494309 | + | 0.505627i | ||||
\(7\) | 1.22822 | + | 0.709111i | 0.464222 | + | 0.268019i | 0.713818 | − | 0.700331i | \(-0.246964\pi\) |
−0.249596 | + | 0.968350i | \(0.580298\pi\) | |||||||
\(8\) | −0.866025 | + | 0.500000i | −0.306186 | + | 0.176777i | ||||
\(9\) | −1.08961 | + | 2.79513i | −0.363203 | + | 0.931710i | ||||
\(10\) | −1.00313 | − | 1.99843i | −0.317216 | − | 0.631960i | ||||
\(11\) | −4.15895 | + | 2.40117i | −1.25397 | + | 0.723980i | −0.971896 | − | 0.235413i | \(-0.924356\pi\) |
−0.282075 | + | 0.959392i | \(0.591023\pi\) | |||||||
\(12\) | −1.40748 | − | 1.00946i | −0.406304 | − | 0.291406i | ||||
\(13\) | −4.38640 | − | 3.68062i | −1.21657 | − | 1.02082i | −0.998997 | − | 0.0447764i | \(-0.985742\pi\) |
−0.217570 | − | 0.976045i | \(-0.569813\pi\) | |||||||
\(14\) | −1.33269 | − | 0.485061i | −0.356177 | − | 0.129638i | ||||
\(15\) | 2.43703 | − | 3.01013i | 0.629237 | − | 0.777213i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | −0.869046 | − | 4.92861i | −0.210775 | − | 1.19536i | −0.888090 | − | 0.459670i | \(-0.847968\pi\) |
0.677315 | − | 0.735693i | \(-0.263143\pi\) | |||||||
\(18\) | 0.587687 | − | 2.94187i | 0.138519 | − | 0.693406i | ||||
\(19\) | 3.92152 | + | 1.90308i | 0.899658 | + | 0.436596i | ||||
\(20\) | 1.33491 | + | 1.79388i | 0.298495 | + | 0.401124i | ||||
\(21\) | −0.186381 | − | 2.44935i | −0.0406716 | − | 0.534493i | ||||
\(22\) | 3.67881 | − | 3.08688i | 0.784324 | − | 0.658126i | ||||
\(23\) | −4.49116 | + | 1.63465i | −0.936471 | + | 0.340847i | −0.764771 | − | 0.644302i | \(-0.777148\pi\) |
−0.171700 | + | 0.985149i | \(0.554926\pi\) | |||||||
\(24\) | 1.56139 | + | 0.749717i | 0.318716 | + | 0.153035i | ||||
\(25\) | −4.17859 | + | 2.74579i | −0.835718 | + | 0.549159i | ||||
\(26\) | 4.95889 | + | 2.86302i | 0.972518 | + | 0.561484i | ||||
\(27\) | 5.06186 | − | 1.17369i | 0.974156 | − | 0.225876i | ||||
\(28\) | 1.39668 | + | 0.246272i | 0.263947 | + | 0.0465410i | ||||
\(29\) | 0.843948 | − | 4.78627i | 0.156717 | − | 0.888787i | −0.800482 | − | 0.599357i | \(-0.795423\pi\) |
0.957199 | − | 0.289430i | \(-0.0934659\pi\) | |||||||
\(30\) | −1.87730 | + | 3.38759i | −0.342746 | + | 0.618486i | ||||
\(31\) | −8.38379 | − | 4.84038i | −1.50577 | − | 0.869359i | −0.999978 | − | 0.00670539i | \(-0.997866\pi\) |
−0.505796 | − | 0.862653i | \(-0.668801\pi\) | |||||||
\(32\) | −0.642788 | + | 0.766044i | −0.113630 | + | 0.135419i | ||||
\(33\) | 7.49830 | + | 3.60040i | 1.30529 | + | 0.626749i | ||||
\(34\) | 1.71169 | + | 4.70282i | 0.293552 | + | 0.806527i | ||||
\(35\) | −0.731986 | + | 3.08561i | −0.123728 | + | 0.521563i | ||||
\(36\) | −0.0679076 | + | 2.99923i | −0.0113179 | + | 0.499872i | ||||
\(37\) | −6.32334 | −1.03955 | −0.519775 | − | 0.854303i | \(-0.673984\pi\) | ||||
−0.519775 | + | 0.854303i | \(0.673984\pi\) | |||||||
\(38\) | −4.19241 | − | 1.19320i | −0.680098 | − | 0.193563i | ||||
\(39\) | −0.976165 | + | 9.86962i | −0.156311 | + | 1.58040i | ||||
\(40\) | −1.62614 | − | 1.53482i | −0.257115 | − | 0.242677i | ||||
\(41\) | −3.61797 | + | 3.03584i | −0.565032 | + | 0.474118i | −0.879993 | − | 0.474987i | \(-0.842453\pi\) |
0.314961 | + | 0.949105i | \(0.398008\pi\) | |||||||
\(42\) | 0.608875 | + | 2.37978i | 0.0939514 | + | 0.367208i | ||||
\(43\) | −3.09131 | + | 8.49330i | −0.471420 | + | 1.29522i | 0.445190 | + | 0.895436i | \(0.353136\pi\) |
−0.916611 | + | 0.399781i | \(0.869086\pi\) | |||||||
\(44\) | −3.08688 | + | 3.67881i | −0.465365 | + | 0.554601i | ||||
\(45\) | −6.68620 | − | 0.542938i | −0.996719 | − | 0.0809364i | ||||
\(46\) | 4.13907 | − | 2.38969i | 0.610273 | − | 0.352341i | ||||
\(47\) | −0.195215 | + | 1.10712i | −0.0284750 | + | 0.161490i | −0.995730 | − | 0.0923186i | \(-0.970572\pi\) |
0.967254 | + | 0.253808i | \(0.0816833\pi\) | |||||||
\(48\) | −1.66785 | − | 0.467196i | −0.240734 | − | 0.0674339i | ||||
\(49\) | −2.49432 | − | 4.32029i | −0.356332 | − | 0.617185i | ||||
\(50\) | 3.63831 | − | 3.42968i | 0.514534 | − | 0.485030i | ||||
\(51\) | −6.19839 | + | 6.05964i | −0.867948 | + | 0.848519i | ||||
\(52\) | −5.38071 | − | 1.95842i | −0.746170 | − | 0.271584i | ||||
\(53\) | −0.0601527 | − | 0.165268i | −0.00826261 | − | 0.0227013i | 0.935493 | − | 0.353346i | \(-0.114956\pi\) |
−0.943755 | + | 0.330645i | \(0.892734\pi\) | |||||||
\(54\) | −4.78115 | + | 2.03484i | −0.650632 | + | 0.276907i | ||||
\(55\) | −7.80925 | − | 7.37075i | −1.05300 | − | 0.993871i | ||||
\(56\) | −1.41822 | −0.189518 | ||||||||
\(57\) | −1.11132 | − | 7.46759i | −0.147198 | − | 0.989107i | ||||
\(58\) | 4.86010i | 0.638163i | ||||||||
\(59\) | 0.697387 | + | 3.95508i | 0.0907921 | + | 0.514907i | 0.995956 | + | 0.0898444i | \(0.0286370\pi\) |
−0.905164 | + | 0.425063i | \(0.860252\pi\) | |||||||
\(60\) | 1.26053 | − | 3.66211i | 0.162733 | − | 0.472777i | ||||
\(61\) | 0.668904 | − | 0.243461i | 0.0856443 | − | 0.0311720i | −0.298843 | − | 0.954302i | \(-0.596601\pi\) |
0.384487 | + | 0.923130i | \(0.374378\pi\) | |||||||
\(62\) | 9.09695 | + | 3.31102i | 1.15531 | + | 0.420500i | ||||
\(63\) | −3.32034 | + | 2.66037i | −0.418323 | + | 0.335175i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 5.07379 | − | 11.7556i | 0.629326 | − | 1.45810i | ||||
\(66\) | −8.00959 | − | 2.24363i | −0.985912 | − | 0.276172i | ||||
\(67\) | −2.07512 | + | 11.7686i | −0.253516 | + | 1.43776i | 0.546336 | + | 0.837566i | \(0.316022\pi\) |
−0.799852 | + | 0.600197i | \(0.795089\pi\) | |||||||
\(68\) | −2.50232 | − | 4.33414i | −0.303451 | − | 0.525592i | ||||
\(69\) | 6.72688 | + | 4.82460i | 0.809821 | + | 0.580813i | ||||
\(70\) | 0.185055 | − | 3.16584i | 0.0221183 | − | 0.378390i | ||||
\(71\) | 11.1500 | + | 4.05828i | 1.32327 | + | 0.481630i | 0.904504 | − | 0.426466i | \(-0.140242\pi\) |
0.418763 | + | 0.908096i | \(0.362464\pi\) | |||||||
\(72\) | −0.453935 | − | 2.96546i | −0.0534968 | − | 0.349483i | ||||
\(73\) | 0.496670 | + | 0.591909i | 0.0581309 | + | 0.0692777i | 0.794326 | − | 0.607491i | \(-0.207824\pi\) |
−0.736195 | + | 0.676769i | \(0.763380\pi\) | |||||||
\(74\) | 6.22728 | − | 1.09804i | 0.723906 | − | 0.127644i | ||||
\(75\) | 8.01030 | + | 3.29167i | 0.924950 | + | 0.380089i | ||||
\(76\) | 4.33591 | + | 0.447070i | 0.497363 | + | 0.0512824i | ||||
\(77\) | −6.81079 | −0.776161 | ||||||||
\(78\) | −0.752507 | − | 9.88919i | −0.0852047 | − | 1.11973i | ||||
\(79\) | 6.74377 | + | 8.03691i | 0.758733 | + | 0.904223i | 0.997767 | − | 0.0667883i | \(-0.0212752\pi\) |
−0.239034 | + | 0.971011i | \(0.576831\pi\) | |||||||
\(80\) | 1.86795 | + | 1.22913i | 0.208843 | + | 0.137421i | ||||
\(81\) | −6.62550 | − | 6.09120i | −0.736167 | − | 0.676800i | ||||
\(82\) | 3.03584 | − | 3.61797i | 0.335252 | − | 0.399538i | ||||
\(83\) | −1.06491 | + | 1.84448i | −0.116889 | + | 0.202458i | −0.918533 | − | 0.395343i | \(-0.870626\pi\) |
0.801644 | + | 0.597801i | \(0.203959\pi\) | |||||||
\(84\) | −1.01287 | − | 2.23789i | −0.110513 | − | 0.244174i | ||||
\(85\) | 10.0014 | − | 5.02029i | 1.08481 | − | 0.544526i | ||||
\(86\) | 1.56950 | − | 8.90107i | 0.169243 | − | 0.959827i | ||||
\(87\) | −7.66903 | + | 3.47100i | −0.822206 | + | 0.372130i | ||||
\(88\) | 2.40117 | − | 4.15895i | 0.255966 | − | 0.443345i | ||||
\(89\) | −0.424481 | − | 0.356182i | −0.0449949 | − | 0.0377552i | 0.620013 | − | 0.784592i | \(-0.287127\pi\) |
−0.665008 | + | 0.746836i | \(0.731572\pi\) | |||||||
\(90\) | 6.67890 | − | 0.626356i | 0.704018 | − | 0.0660237i | ||||
\(91\) | −2.77747 | − | 7.63105i | −0.291158 | − | 0.799951i | ||||
\(92\) | −3.66122 | + | 3.07213i | −0.381709 | + | 0.320292i | ||||
\(93\) | 1.27223 | + | 16.7192i | 0.131924 | + | 1.73371i | ||||
\(94\) | − | 1.12420i | − | 0.115952i | ||||||
\(95\) | −1.56374 | + | 9.62054i | −0.160436 | + | 0.987046i | ||||
\(96\) | 1.72364 | + | 0.170478i | 0.175918 | + | 0.0173994i | ||||
\(97\) | −3.40129 | − | 19.2897i | −0.345349 | − | 1.95857i | −0.276825 | − | 0.960920i | \(-0.589282\pi\) |
−0.0685236 | − | 0.997649i | \(-0.521829\pi\) | |||||||
\(98\) | 3.20664 | + | 3.82152i | 0.323919 | + | 0.386032i | ||||
\(99\) | −2.17995 | − | 14.2411i | −0.219093 | − | 1.43129i | ||||
\(100\) | −2.98747 | + | 4.00936i | −0.298747 | + | 0.400936i | ||||
\(101\) | 4.90930 | − | 5.85068i | 0.488494 | − | 0.582164i | −0.464340 | − | 0.885657i | \(-0.653708\pi\) |
0.952834 | + | 0.303493i | \(0.0981529\pi\) | |||||||
\(102\) | 5.05198 | − | 7.04391i | 0.500220 | − | 0.697452i | ||||
\(103\) | −7.05809 | − | 12.2250i | −0.695454 | − | 1.20456i | −0.970027 | − | 0.242996i | \(-0.921870\pi\) |
0.274573 | − | 0.961566i | \(-0.411463\pi\) | |||||||
\(104\) | 5.63904 | + | 0.994315i | 0.552953 | + | 0.0975006i | ||||
\(105\) | 5.12772 | − | 1.96898i | 0.500414 | − | 0.192152i | ||||
\(106\) | 0.0879374 | + | 0.152312i | 0.00854124 | + | 0.0147939i | ||||
\(107\) | −2.82207 | − | 1.62932i | −0.272820 | − | 0.157513i | 0.357348 | − | 0.933971i | \(-0.383681\pi\) |
−0.630168 | + | 0.776458i | \(0.717014\pi\) | |||||||
\(108\) | 4.35517 | − | 2.83417i | 0.419076 | − | 0.272718i | ||||
\(109\) | −5.47763 | + | 15.0497i | −0.524662 | + | 1.44150i | 0.340615 | + | 0.940203i | \(0.389365\pi\) |
−0.865277 | + | 0.501294i | \(0.832858\pi\) | |||||||
\(110\) | 8.97053 | + | 5.90270i | 0.855306 | + | 0.562801i | ||||
\(111\) | 6.18006 | + | 9.04217i | 0.586585 | + | 0.858245i | ||||
\(112\) | 1.39668 | − | 0.246272i | 0.131974 | − | 0.0232705i | ||||
\(113\) | 6.20361i | 0.583587i | 0.956481 | + | 0.291793i | \(0.0942519\pi\) | ||||
−0.956481 | + | 0.291793i | \(0.905748\pi\) | |||||||
\(114\) | 2.39117 | + | 7.16117i | 0.223954 | + | 0.670705i | ||||
\(115\) | −6.38006 | − | 8.57366i | −0.594944 | − | 0.799498i | ||||
\(116\) | −0.843948 | − | 4.78627i | −0.0783586 | − | 0.444394i | ||||
\(117\) | 15.0673 | − | 8.25010i | 1.39297 | − | 0.762722i | ||||
\(118\) | −1.37358 | − | 3.77389i | −0.126449 | − | 0.347415i | ||||
\(119\) | 2.42755 | − | 6.66965i | 0.222533 | − | 0.611406i | ||||
\(120\) | −0.605459 | + | 3.82537i | −0.0552706 | + | 0.349206i | ||||
\(121\) | 6.03123 | − | 10.4464i | 0.548294 | − | 0.949673i | ||||
\(122\) | −0.616465 | + | 0.355916i | −0.0558121 | + | 0.0322231i | ||||
\(123\) | 7.87713 | + | 2.20653i | 0.710257 | + | 0.198956i | ||||
\(124\) | −9.53370 | − | 1.68105i | −0.856151 | − | 0.150963i | ||||
\(125\) | −8.56012 | − | 7.19197i | −0.765640 | − | 0.643269i | ||||
\(126\) | 2.80792 | − | 3.19652i | 0.250150 | − | 0.284769i | ||||
\(127\) | 3.40159 | + | 2.85428i | 0.301843 | + | 0.253276i | 0.781111 | − | 0.624393i | \(-0.214653\pi\) |
−0.479268 | + | 0.877669i | \(0.659098\pi\) | |||||||
\(128\) | −0.342020 | + | 0.939693i | −0.0302306 | + | 0.0830579i | ||||
\(129\) | 15.1664 | − | 3.88038i | 1.33533 | − | 0.341649i | ||||
\(130\) | −2.95537 | + | 12.4581i | −0.259203 | + | 1.09264i | ||||
\(131\) | −8.85370 | + | 1.56115i | −0.773551 | + | 0.136398i | −0.546471 | − | 0.837478i | \(-0.684029\pi\) |
−0.227080 | + | 0.973876i | \(0.572918\pi\) | |||||||
\(132\) | 8.27751 | + | 0.818695i | 0.720465 | + | 0.0712583i | ||||
\(133\) | 3.46698 | + | 5.11818i | 0.300625 | + | 0.443803i | ||||
\(134\) | − | 11.9501i | − | 1.03234i | ||||||
\(135\) | 5.75831 | + | 10.0917i | 0.495596 | + | 0.868553i | ||||
\(136\) | 3.21692 | + | 3.83378i | 0.275849 | + | 0.328744i | ||||
\(137\) | 4.36619 | − | 1.58916i | 0.373029 | − | 0.135771i | −0.148701 | − | 0.988882i | \(-0.547509\pi\) |
0.521730 | + | 0.853111i | \(0.325287\pi\) | |||||||
\(138\) | −7.46247 | − | 3.58319i | −0.635247 | − | 0.305021i | ||||
\(139\) | 1.93418 | + | 1.62297i | 0.164055 | + | 0.137658i | 0.721119 | − | 0.692811i | \(-0.243628\pi\) |
−0.557064 | + | 0.830469i | \(0.688072\pi\) | |||||||
\(140\) | 0.367498 | + | 3.14988i | 0.0310593 | + | 0.266213i | ||||
\(141\) | 1.77393 | − | 0.802882i | 0.149392 | − | 0.0676148i | ||||
\(142\) | −11.6854 | − | 2.06044i | −0.980614 | − | 0.172909i | ||||
\(143\) | 27.0806 | + | 4.77504i | 2.26459 | + | 0.399309i | ||||
\(144\) | 0.961985 | + | 2.84158i | 0.0801654 | + | 0.236798i | ||||
\(145\) | 10.7943 | − | 1.25938i | 0.896418 | − | 0.104586i | ||||
\(146\) | −0.591909 | − | 0.496670i | −0.0489867 | − | 0.0411047i | ||||
\(147\) | −3.74007 | + | 7.78920i | −0.308476 | + | 0.642442i | ||||
\(148\) | −5.94200 | + | 2.16271i | −0.488429 | + | 0.177774i | ||||
\(149\) | 7.24242 | + | 8.63118i | 0.593322 | + | 0.707094i | 0.976241 | − | 0.216688i | \(-0.0695255\pi\) |
−0.382919 | + | 0.923782i | \(0.625081\pi\) | |||||||
\(150\) | −8.46020 | − | 1.85069i | −0.690772 | − | 0.151108i | ||||
\(151\) | − | 19.6099i | − | 1.59583i | −0.602772 | − | 0.797914i | \(-0.705937\pi\) | ||
0.602772 | − | 0.797914i | \(-0.294063\pi\) | |||||||
\(152\) | −4.34767 | + | 0.312645i | −0.352643 | + | 0.0253589i | ||||
\(153\) | 14.7230 | + | 2.94116i | 1.19029 | + | 0.237779i | ||||
\(154\) | 6.70732 | − | 1.18268i | 0.540491 | − | 0.0953031i | ||||
\(155\) | 4.99652 | − | 21.0623i | 0.401330 | − | 1.69177i | ||||
\(156\) | 2.45831 | + | 9.60828i | 0.196823 | + | 0.769278i | ||||
\(157\) | −5.00142 | + | 13.7413i | −0.399157 | + | 1.09667i | 0.563539 | + | 0.826089i | \(0.309439\pi\) |
−0.962696 | + | 0.270585i | \(0.912783\pi\) | |||||||
\(158\) | −8.03691 | − | 6.74377i | −0.639382 | − | 0.536505i | ||||
\(159\) | −0.177538 | + | 0.247540i | −0.0140797 | + | 0.0196312i | ||||
\(160\) | −2.05301 | − | 0.886092i | −0.162305 | − | 0.0700517i | ||||
\(161\) | −6.67526 | − | 1.17703i | −0.526084 | − | 0.0927628i | ||||
\(162\) | 7.58257 | + | 4.84816i | 0.595743 | + | 0.380907i | ||||
\(163\) | −1.16357 | + | 0.671789i | −0.0911381 | + | 0.0526186i | −0.544876 | − | 0.838516i | \(-0.683423\pi\) |
0.453738 | + | 0.891135i | \(0.350090\pi\) | |||||||
\(164\) | −2.36146 | + | 4.09017i | −0.184399 | + | 0.319389i | ||||
\(165\) | −2.90762 | + | 18.3707i | −0.226358 | + | 1.43016i | ||||
\(166\) | 0.728442 | − | 2.00138i | 0.0565381 | − | 0.155337i | ||||
\(167\) | 0.645971 | + | 1.77479i | 0.0499867 | + | 0.137337i | 0.962174 | − | 0.272437i | \(-0.0878296\pi\) |
−0.912187 | + | 0.409774i | \(0.865607\pi\) | |||||||
\(168\) | 1.38609 | + | 2.02801i | 0.106939 | + | 0.156464i | ||||
\(169\) | 3.43605 | + | 19.4868i | 0.264312 | + | 1.49899i | ||||
\(170\) | −8.97773 | + | 6.68075i | −0.688560 | + | 0.512390i | ||||
\(171\) | −9.59227 | + | 8.88754i | −0.733539 | + | 0.679647i | ||||
\(172\) | 9.03839i | 0.689170i | ||||||||
\(173\) | 4.05906 | − | 0.715722i | 0.308605 | − | 0.0544153i | −0.0172012 | − | 0.999852i | \(-0.505476\pi\) |
0.325806 | + | 0.945437i | \(0.394364\pi\) | |||||||
\(174\) | 6.94978 | − | 4.74998i | 0.526862 | − | 0.360095i | ||||
\(175\) | −7.07929 | + | 0.409344i | −0.535144 | + | 0.0309435i | ||||
\(176\) | −1.64250 | + | 4.51272i | −0.123808 | + | 0.340159i | ||||
\(177\) | 4.97405 | − | 4.86270i | 0.373872 | − | 0.365503i | ||||
\(178\) | 0.479883 | + | 0.277060i | 0.0359687 | + | 0.0207666i | ||||
\(179\) | −6.18641 | − | 10.7152i | −0.462394 | − | 0.800890i | 0.536686 | − | 0.843782i | \(-0.319676\pi\) |
−0.999080 | + | 0.0428923i | \(0.986343\pi\) | |||||||
\(180\) | −6.46866 | + | 1.77662i | −0.482146 | + | 0.132421i | ||||
\(181\) | 8.94578 | + | 1.57738i | 0.664935 | + | 0.117246i | 0.495921 | − | 0.868368i | \(-0.334831\pi\) |
0.169014 | + | 0.985614i | \(0.445942\pi\) | |||||||
\(182\) | 4.06039 | + | 7.03281i | 0.300976 | + | 0.521306i | ||||
\(183\) | −1.00189 | − | 0.718565i | −0.0740617 | − | 0.0531179i | ||||
\(184\) | 3.07213 | − | 3.66122i | 0.226481 | − | 0.269909i | ||||
\(185\) | −4.05239 | − | 13.5463i | −0.297938 | − | 0.995941i | ||||
\(186\) | −4.15617 | − | 16.2443i | −0.304745 | − | 1.19109i | ||||
\(187\) | 15.4487 | + | 18.4111i | 1.12972 | + | 1.34635i | ||||
\(188\) | 0.195215 | + | 1.10712i | 0.0142375 | + | 0.0807450i | ||||
\(189\) | 7.04934 | + | 2.14788i | 0.512764 | + | 0.156235i | ||||
\(190\) | −0.130604 | − | 9.74592i | −0.00947502 | − | 0.707043i | ||||
\(191\) | − | 22.4414i | − | 1.62380i | −0.583795 | − | 0.811901i | \(-0.698433\pi\) | ||
0.583795 | − | 0.811901i | \(-0.301567\pi\) | |||||||
\(192\) | −1.72706 | + | 0.131419i | −0.124640 | + | 0.00948432i | ||||
\(193\) | 7.75600 | − | 6.50806i | 0.558289 | − | 0.468460i | −0.319447 | − | 0.947604i | \(-0.603497\pi\) |
0.877736 | + | 0.479144i | \(0.159053\pi\) | |||||||
\(194\) | 6.69923 | + | 18.4060i | 0.480977 | + | 1.32147i | ||||
\(195\) | −21.7689 | + | 4.23387i | −1.55891 | + | 0.303194i | ||||
\(196\) | −3.82152 | − | 3.20664i | −0.272966 | − | 0.229046i | ||||
\(197\) | −0.395106 | + | 0.684343i | −0.0281501 | + | 0.0487574i | −0.879757 | − | 0.475423i | \(-0.842295\pi\) |
0.851607 | + | 0.524181i | \(0.175628\pi\) | |||||||
\(198\) | 4.61978 | + | 13.6462i | 0.328313 | + | 0.969796i | ||||
\(199\) | −2.50621 | + | 14.2134i | −0.177661 | + | 1.00756i | 0.757367 | + | 0.652989i | \(0.226485\pi\) |
−0.935028 | + | 0.354575i | \(0.884626\pi\) | |||||||
\(200\) | 2.24587 | − | 4.46722i | 0.158807 | − | 0.315880i | ||||
\(201\) | 18.8568 | − | 8.53458i | 1.33006 | − | 0.601983i | ||||
\(202\) | −3.81876 | + | 6.61428i | −0.268687 | + | 0.465379i | ||||
\(203\) | 4.43055 | − | 5.28012i | 0.310963 | − | 0.370592i | ||||
\(204\) | −3.75206 | + | 7.81417i | −0.262697 | + | 0.547101i | ||||
\(205\) | −8.82218 | − | 5.80509i | −0.616168 | − | 0.405445i | ||||
\(206\) | 9.07370 | + | 10.8136i | 0.632195 | + | 0.753420i | ||||
\(207\) | 0.324557 | − | 14.3345i | 0.0225583 | − | 0.996316i | ||||
\(208\) | −5.72603 | −0.397029 | ||||||||
\(209\) | −20.8790 | + | 1.50143i | −1.44423 | + | 0.103856i | ||||
\(210\) | −4.70790 | + | 2.82948i | −0.324876 | + | 0.195253i | ||||
\(211\) | −12.2236 | + | 2.15536i | −0.841510 | + | 0.148381i | −0.577756 | − | 0.816209i | \(-0.696072\pi\) |
−0.263753 | + | 0.964590i | \(0.584961\pi\) | |||||||
\(212\) | −0.113050 | − | 0.134728i | −0.00776432 | − | 0.00925315i | ||||
\(213\) | −5.09418 | − | 19.9105i | −0.349048 | − | 1.36425i | ||||
\(214\) | 3.06213 | + | 1.11452i | 0.209323 | + | 0.0761872i | ||||
\(215\) | −20.1760 | − | 1.17936i | −1.37599 | − | 0.0804318i | ||||
\(216\) | −3.79686 | + | 3.54738i | −0.258343 | + | 0.241368i | ||||
\(217\) | −6.86474 | − | 11.8901i | −0.466009 | − | 0.807151i | ||||
\(218\) | 2.78107 | − | 15.7722i | 0.188358 | − | 1.06823i | ||||
\(219\) | 0.360994 | − | 1.28872i | 0.0243937 | − | 0.0870836i | ||||
\(220\) | −9.85924 | − | 4.25531i | −0.664710 | − | 0.286893i | ||||
\(221\) | −14.3284 | + | 24.8174i | −0.963830 | + | 1.66940i | ||||
\(222\) | −7.65633 | − | 7.83164i | −0.513859 | − | 0.525625i | ||||
\(223\) | 18.9999 | + | 6.91541i | 1.27233 | + | 0.463090i | 0.887888 | − | 0.460059i | \(-0.152172\pi\) |
0.384442 | + | 0.923149i | \(0.374394\pi\) | |||||||
\(224\) | −1.33269 | + | 0.485061i | −0.0890443 | + | 0.0324095i | ||||
\(225\) | −3.12182 | − | 14.6715i | −0.208121 | − | 0.978103i | ||||
\(226\) | −1.07725 | − | 6.10936i | −0.0716573 | − | 0.406389i | ||||
\(227\) | 26.6214i | 1.76692i | 0.468502 | + | 0.883462i | \(0.344794\pi\) | ||||
−0.468502 | + | 0.883462i | \(0.655206\pi\) | |||||||
\(228\) | −3.59837 | − | 6.63715i | −0.238308 | − | 0.439556i | ||||
\(229\) | 20.0431 | 1.32448 | 0.662241 | − | 0.749291i | \(-0.269605\pi\) | ||||
0.662241 | + | 0.749291i | \(0.269605\pi\) | |||||||
\(230\) | 7.77193 | + | 7.33552i | 0.512466 | + | 0.483690i | ||||
\(231\) | 6.65646 | + | 9.73920i | 0.437963 | + | 0.640792i | ||||
\(232\) | 1.66225 | + | 4.56700i | 0.109132 | + | 0.299838i | ||||
\(233\) | −2.34476 | − | 0.853421i | −0.153610 | − | 0.0559095i | 0.264071 | − | 0.964503i | \(-0.414935\pi\) |
−0.417681 | + | 0.908594i | \(0.637157\pi\) | |||||||
\(234\) | −13.4058 | + | 10.7412i | −0.876362 | + | 0.702172i | ||||
\(235\) | −2.49685 | + | 0.291309i | −0.162876 | + | 0.0190029i | ||||
\(236\) | 2.00805 | + | 3.47804i | 0.130713 | + | 0.226401i | ||||
\(237\) | 4.90155 | − | 17.4982i | 0.318390 | − | 1.13663i | ||||
\(238\) | −1.23250 | + | 6.98986i | −0.0798912 | + | 0.453085i | ||||
\(239\) | −12.5280 | + | 7.23302i | −0.810367 | + | 0.467865i | −0.847083 | − | 0.531460i | \(-0.821643\pi\) |
0.0367166 | + | 0.999326i | \(0.488310\pi\) | |||||||
\(240\) | −0.0680073 | − | 3.87239i | −0.00438985 | − | 0.249961i | ||||
\(241\) | 8.99940 | − | 10.7251i | 0.579702 | − | 0.690862i | −0.393890 | − | 0.919158i | \(-0.628871\pi\) |
0.973592 | + | 0.228295i | \(0.0733152\pi\) | |||||||
\(242\) | −4.12561 | + | 11.3350i | −0.265204 | + | 0.728642i | ||||
\(243\) | −2.23484 | + | 15.4274i | −0.143365 | + | 0.989670i | ||||
\(244\) | 0.545295 | − | 0.457557i | 0.0349089 | − | 0.0292921i | ||||
\(245\) | 7.65669 | − | 8.11221i | 0.489168 | − | 0.518270i | ||||
\(246\) | −8.14062 | − | 0.805156i | −0.519027 | − | 0.0513349i | ||||
\(247\) | −10.1968 | − | 22.7813i | −0.648808 | − | 1.44954i | ||||
\(248\) | 9.68077 | 0.614729 | ||||||||
\(249\) | 3.67833 | − | 0.279898i | 0.233104 | − | 0.0177378i | ||||
\(250\) | 9.67894 | + | 5.59626i | 0.612150 | + | 0.353938i | ||||
\(251\) | −8.28066 | − | 22.7509i | −0.522670 | − | 1.43602i | −0.867537 | − | 0.497373i | \(-0.834298\pi\) |
0.344866 | − | 0.938652i | \(-0.387924\pi\) | |||||||
\(252\) | −2.21019 | + | 3.63555i | −0.139229 | + | 0.229018i | ||||
\(253\) | 14.7534 | − | 17.5824i | 0.927540 | − | 1.10540i | ||||
\(254\) | −3.84556 | − | 2.22023i | −0.241292 | − | 0.139310i | ||||
\(255\) | −16.9537 | − | 9.39519i | −1.06168 | − | 0.588350i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −22.8296 | − | 4.02548i | −1.42407 | − | 0.251102i | −0.592075 | − | 0.805883i | \(-0.701691\pi\) |
−0.831997 | + | 0.554780i | \(0.812802\pi\) | |||||||
\(258\) | −14.2622 | + | 6.45505i | −0.887924 | + | 0.401874i | ||||
\(259\) | −7.76643 | − | 4.48395i | −0.482583 | − | 0.278619i | ||||
\(260\) | 0.747154 | − | 12.7820i | 0.0463365 | − | 0.792705i | ||||
\(261\) | 12.4587 | + | 7.57411i | 0.771172 | + | 0.468825i | ||||
\(262\) | 8.44810 | − | 3.07486i | 0.521925 | − | 0.189965i | ||||
\(263\) | −3.44475 | + | 2.89049i | −0.212412 | + | 0.178235i | −0.742786 | − | 0.669529i | \(-0.766496\pi\) |
0.530374 | + | 0.847764i | \(0.322052\pi\) | |||||||
\(264\) | −8.29392 | + | 0.631117i | −0.510455 | + | 0.0388426i | ||||
\(265\) | 0.315499 | − | 0.234777i | 0.0193809 | − | 0.0144223i | ||||
\(266\) | −4.30307 | − | 4.43839i | −0.263838 | − | 0.272135i | ||||
\(267\) | −0.0944657 | + | 0.955105i | −0.00578120 | + | 0.0584515i | ||||
\(268\) | 2.07512 | + | 11.7686i | 0.126758 | + | 0.718881i | ||||
\(269\) | −2.33247 | + | 1.95718i | −0.142213 | + | 0.119331i | −0.711119 | − | 0.703072i | \(-0.751811\pi\) |
0.568906 | + | 0.822403i | \(0.307367\pi\) | |||||||
\(270\) | −7.42323 | − | 8.93844i | −0.451763 | − | 0.543976i | ||||
\(271\) | 9.53733 | + | 3.47130i | 0.579351 | + | 0.210867i | 0.615040 | − | 0.788496i | \(-0.289140\pi\) |
−0.0356881 | + | 0.999363i | \(0.511362\pi\) | |||||||
\(272\) | −3.83378 | − | 3.21692i | −0.232457 | − | 0.195054i | ||||
\(273\) | −8.19760 | + | 11.4298i | −0.496141 | + | 0.691765i | ||||
\(274\) | −4.02390 | + | 2.32320i | −0.243093 | + | 0.140350i | ||||
\(275\) | 10.7854 | − | 21.4531i | 0.650386 | − | 1.29367i | ||||
\(276\) | 7.97131 | + | 2.23291i | 0.479816 | + | 0.134405i | ||||
\(277\) | 3.83354 | − | 2.21329i | 0.230335 | − | 0.132984i | −0.380392 | − | 0.924825i | \(-0.624211\pi\) |
0.610727 | + | 0.791842i | \(0.290877\pi\) | |||||||
\(278\) | −2.18662 | − | 1.26244i | −0.131145 | − | 0.0757164i | ||||
\(279\) | 22.6646 | − | 18.1597i | 1.35689 | − | 1.08719i | ||||
\(280\) | −0.908886 | − | 3.03821i | −0.0543163 | − | 0.181568i | ||||
\(281\) | −28.9911 | + | 10.5519i | −1.72946 | + | 0.629472i | −0.998592 | − | 0.0530452i | \(-0.983107\pi\) |
−0.730869 | + | 0.682518i | \(0.760885\pi\) | |||||||
\(282\) | −1.60757 | + | 1.09872i | −0.0957292 | + | 0.0654281i | ||||
\(283\) | −11.7937 | + | 2.07954i | −0.701060 | + | 0.123616i | −0.512806 | − | 0.858505i | \(-0.671394\pi\) |
−0.188254 | + | 0.982120i | \(0.560283\pi\) | |||||||
\(284\) | 11.8656 | 0.704095 | ||||||||
\(285\) | 15.2854 | − | 7.16644i | 0.905426 | − | 0.424504i | ||||
\(286\) | −27.4984 | −1.62601 | ||||||||
\(287\) | −6.59639 | + | 1.16312i | −0.389373 | + | 0.0686569i | ||||
\(288\) | −1.44081 | − | 2.63136i | −0.0849003 | − | 0.155055i | ||||
\(289\) | −7.56114 | + | 2.75203i | −0.444773 | + | 0.161884i | ||||
\(290\) | −10.4116 | + | 3.11466i | −0.611391 | + | 0.182899i | ||||
\(291\) | −24.2594 | + | 23.7163i | −1.42211 | + | 1.39028i | ||||
\(292\) | 0.669162 | + | 0.386341i | 0.0391598 | + | 0.0226089i | ||||
\(293\) | −1.00629 | + | 0.580979i | −0.0587878 | + | 0.0339412i | −0.529106 | − | 0.848556i | \(-0.677473\pi\) |
0.470318 | + | 0.882497i | \(0.344139\pi\) | |||||||
\(294\) | 2.33067 | − | 8.32032i | 0.135928 | − | 0.485251i | ||||
\(295\) | −8.02589 | + | 4.02865i | −0.467286 | + | 0.234557i | ||||
\(296\) | 5.47617 | − | 3.16167i | 0.318296 | − | 0.183768i | ||||
\(297\) | −18.2338 | + | 17.0357i | −1.05803 | + | 0.988512i | ||||
\(298\) | −8.63118 | − | 7.24242i | −0.499991 | − | 0.419542i | ||||
\(299\) | 25.7165 | + | 9.36004i | 1.48722 | + | 0.541305i | ||||
\(300\) | 8.65304 | + | 0.353474i | 0.499583 | + | 0.0204078i | ||||
\(301\) | −9.81950 | + | 8.23954i | −0.565986 | + | 0.474919i | ||||
\(302\) | 3.40521 | + | 19.3119i | 0.195948 | + | 1.11128i | ||||
\(303\) | −13.1643 | − | 1.30203i | −0.756271 | − | 0.0747998i | ||||
\(304\) | 4.22733 | − | 1.06286i | 0.242454 | − | 0.0609592i | ||||
\(305\) | 0.950233 | + | 1.27694i | 0.0544102 | + | 0.0731175i | ||||
\(306\) | −15.0101 | − | 0.339853i | −0.858068 | − | 0.0194281i | ||||
\(307\) | 6.69443 | − | 5.61729i | 0.382071 | − | 0.320596i | −0.431444 | − | 0.902140i | \(-0.641996\pi\) |
0.813515 | + | 0.581544i | \(0.197551\pi\) | |||||||
\(308\) | −6.40005 | + | 2.32943i | −0.364676 | + | 0.132731i | ||||
\(309\) | −10.5831 | + | 22.0408i | −0.602054 | + | 1.25386i | ||||
\(310\) | −1.26318 | + | 21.6100i | −0.0717439 | + | 1.22736i | ||||
\(311\) | 15.1358 | + | 8.73866i | 0.858273 | + | 0.495524i | 0.863433 | − | 0.504463i | \(-0.168309\pi\) |
−0.00516087 | + | 0.999987i | \(0.501643\pi\) | |||||||
\(312\) | −4.08943 | − | 9.03543i | −0.231518 | − | 0.511530i | ||||
\(313\) | −10.9107 | − | 1.92385i | −0.616709 | − | 0.108742i | −0.143438 | − | 0.989659i | \(-0.545816\pi\) |
−0.473271 | + | 0.880917i | \(0.656927\pi\) | |||||||
\(314\) | 2.53929 | − | 14.4010i | 0.143300 | − | 0.812696i | ||||
\(315\) | −7.82709 | − | 5.40810i | −0.441007 | − | 0.304712i | ||||
\(316\) | 9.08585 | + | 5.24572i | 0.511119 | + | 0.295095i | ||||
\(317\) | −6.37530 | + | 7.59779i | −0.358073 | + | 0.426734i | −0.914766 | − | 0.403984i | \(-0.867625\pi\) |
0.556694 | + | 0.830718i | \(0.312070\pi\) | |||||||
\(318\) | 0.131856 | − | 0.274608i | 0.00739414 | − | 0.0153993i | ||||
\(319\) | 7.98270 | + | 21.9323i | 0.446946 | + | 1.22797i | ||||
\(320\) | 2.17569 | + | 0.516129i | 0.121625 | + | 0.0288525i | ||||
\(321\) | 0.428247 | + | 5.62787i | 0.0239024 | + | 0.314117i | ||||
\(322\) | 6.77824 | 0.377736 | ||||||||
\(323\) | 5.97154 | − | 20.9815i | 0.332265 | − | 1.16744i | ||||
\(324\) | −8.30925 | − | 3.45780i | −0.461625 | − | 0.192100i | ||||
\(325\) | 28.4352 | + | 3.33568i | 1.57730 | + | 0.185030i | ||||
\(326\) | 1.02924 | − | 0.863636i | 0.0570044 | − | 0.0478324i | ||||
\(327\) | 26.8740 | − | 6.87582i | 1.48614 | − | 0.380234i | ||||
\(328\) | 1.61533 | − | 4.43810i | 0.0891919 | − | 0.245053i | ||||
\(329\) | −1.02484 | + | 1.22135i | −0.0565011 | + | 0.0673354i | ||||
\(330\) | −0.326594 | − | 18.5965i | −0.0179784 | − | 1.02370i | ||||
\(331\) | −1.54553 | + | 0.892314i | −0.0849502 | + | 0.0490460i | −0.541873 | − | 0.840460i | \(-0.682285\pi\) |
0.456923 | + | 0.889506i | \(0.348951\pi\) | |||||||
\(332\) | −0.369840 | + | 2.09747i | −0.0202976 | + | 0.115113i | ||||
\(333\) | 6.88998 | − | 17.6746i | 0.377568 | − | 0.968560i | ||||
\(334\) | −0.944346 | − | 1.63566i | −0.0516723 | − | 0.0894991i | ||||
\(335\) | −26.5413 | + | 3.09659i | −1.45011 | + | 0.169185i | ||||
\(336\) | −1.71719 | − | 1.75651i | −0.0936804 | − | 0.0958255i | ||||
\(337\) | 13.7974 | + | 5.02183i | 0.751590 | + | 0.273557i | 0.689275 | − | 0.724500i | \(-0.257929\pi\) |
0.0623155 | + | 0.998056i | \(0.480151\pi\) | |||||||
\(338\) | −6.76771 | − | 18.5941i | −0.368115 | − | 1.01139i | ||||
\(339\) | 8.87096 | − | 6.06304i | 0.481804 | − | 0.329299i | ||||
\(340\) | 7.68124 | − | 8.13822i | 0.416574 | − | 0.441357i | ||||
\(341\) | 46.4903 | 2.51759 | ||||||||
\(342\) | 7.90324 | − | 10.4182i | 0.427358 | − | 0.563352i | ||||
\(343\) | − | 17.0026i | − | 0.918052i | ||||||
\(344\) | −1.56950 | − | 8.90107i | −0.0846217 | − | 0.479914i | ||||
\(345\) | −6.02455 | + | 17.5027i | −0.324351 | + | 0.942311i | ||||
\(346\) | −3.87311 | + | 1.40970i | −0.208220 | + | 0.0757857i | ||||
\(347\) | 12.3781 | + | 4.50525i | 0.664490 | + | 0.241855i | 0.652174 | − | 0.758069i | \(-0.273857\pi\) |
0.0123165 | + | 0.999924i | \(0.496079\pi\) | |||||||
\(348\) | −6.01938 | + | 5.88463i | −0.322672 | + | 0.315449i | ||||
\(349\) | −0.140899 | + | 0.244043i | −0.00754213 | + | 0.0130633i | −0.869772 | − | 0.493454i | \(-0.835734\pi\) |
0.862230 | + | 0.506517i | \(0.169067\pi\) | |||||||
\(350\) | 6.90066 | − | 1.63243i | 0.368856 | − | 0.0872571i | ||||
\(351\) | −26.5232 | − | 13.4825i | −1.41571 | − | 0.719645i | ||||
\(352\) | 0.833918 | − | 4.72938i | 0.0444480 | − | 0.252077i | ||||
\(353\) | 2.12483 | + | 3.68032i | 0.113093 | + | 0.195884i | 0.917016 | − | 0.398850i | \(-0.130591\pi\) |
−0.803923 | + | 0.594734i | \(0.797257\pi\) | |||||||
\(354\) | −4.05408 | + | 5.65256i | −0.215472 | + | 0.300430i | ||||
\(355\) | −1.54827 | + | 26.4871i | −0.0821737 | + | 1.40579i | ||||
\(356\) | −0.520703 | − | 0.189521i | −0.0275972 | − | 0.0100446i | ||||
\(357\) | −11.9099 | + | 3.04720i | −0.630340 | + | 0.161275i | ||||
\(358\) | 7.95310 | + | 9.47813i | 0.420334 | + | 0.500935i | ||||
\(359\) | 4.39502 | − | 0.774960i | 0.231960 | − | 0.0409008i | −0.0564597 | − | 0.998405i | \(-0.517981\pi\) |
0.288420 | + | 0.957504i | \(0.406870\pi\) | |||||||
\(360\) | 6.06188 | − | 2.87290i | 0.319489 | − | 0.151415i | ||||
\(361\) | 11.7566 | + | 14.9259i | 0.618768 | + | 0.785574i | ||||
\(362\) | −9.08379 | −0.477433 | ||||||||
\(363\) | −20.8326 | + | 1.58523i | −1.09343 | + | 0.0832031i | ||||
\(364\) | −5.21994 | − | 6.22088i | −0.273599 | − | 0.326063i | ||||
\(365\) | −0.949728 | + | 1.44333i | −0.0497110 | + | 0.0755474i | ||||
\(366\) | 1.11144 | + | 0.533673i | 0.0580961 | + | 0.0278955i | ||||
\(367\) | −3.08143 | + | 3.67231i | −0.160850 | + | 0.191693i | −0.840449 | − | 0.541890i | \(-0.817709\pi\) |
0.679600 | + | 0.733583i | \(0.262153\pi\) | |||||||
\(368\) | −2.38969 | + | 4.13907i | −0.124571 | + | 0.215764i | ||||
\(369\) | −4.54338 | − | 13.4206i | −0.236519 | − | 0.698647i | ||||
\(370\) | 6.34311 | + | 12.6368i | 0.329763 | + | 0.656955i | ||||
\(371\) | 0.0433130 | − | 0.245640i | 0.00224870 | − | 0.0127530i | ||||
\(372\) | 6.91383 | + | 15.2758i | 0.358465 | + | 0.792015i | ||||
\(373\) | −7.49476 | + | 12.9813i | −0.388064 | + | 0.672147i | −0.992189 | − | 0.124743i | \(-0.960189\pi\) |
0.604125 | + | 0.796890i | \(0.293523\pi\) | |||||||
\(374\) | −18.4111 | − | 15.4487i | −0.952015 | − | 0.798835i | ||||
\(375\) | −1.91812 | + | 19.2697i | −0.0990515 | + | 0.995082i | ||||
\(376\) | −0.384498 | − | 1.05640i | −0.0198290 | − | 0.0544797i | ||||
\(377\) | −21.3183 | + | 17.8882i | −1.09795 | + | 0.921289i | ||||
\(378\) | −7.31522 | − | 0.891144i | −0.376254 | − | 0.0458355i | ||||
\(379\) | − | 16.5268i | − | 0.848924i | −0.905446 | − | 0.424462i | \(-0.860463\pi\) | ||
0.905446 | − | 0.424462i | \(-0.139537\pi\) | |||||||
\(380\) | 1.82098 | + | 9.57518i | 0.0934144 | + | 0.491196i | ||||
\(381\) | 0.757003 | − | 7.65377i | 0.0387825 | − | 0.392114i | ||||
\(382\) | 3.89691 | + | 22.1005i | 0.199383 | + | 1.13076i | ||||
\(383\) | 4.62139 | + | 5.50756i | 0.236142 | + | 0.281423i | 0.871081 | − | 0.491139i | \(-0.163419\pi\) |
−0.634939 | + | 0.772562i | \(0.718975\pi\) | |||||||
\(384\) | 1.67800 | − | 0.429323i | 0.0856301 | − | 0.0219088i | ||||
\(385\) | −4.36478 | − | 14.5905i | −0.222450 | − | 0.743601i | ||||
\(386\) | −6.50806 | + | 7.75600i | −0.331251 | + | 0.394770i | ||||
\(387\) | −20.3716 | − | 17.8950i | −1.03554 | − | 0.909654i | ||||
\(388\) | −9.79363 | − | 16.9631i | −0.497196 | − | 0.861169i | ||||
\(389\) | −25.3831 | − | 4.47573i | −1.28697 | − | 0.226928i | −0.512036 | − | 0.858964i | \(-0.671108\pi\) |
−0.774939 | + | 0.632036i | \(0.782219\pi\) | |||||||
\(390\) | 20.7030 | − | 7.94968i | 1.04834 | − | 0.402548i | ||||
\(391\) | 11.9596 | + | 20.7146i | 0.604821 | + | 1.04758i | ||||
\(392\) | 4.32029 | + | 2.49432i | 0.218208 | + | 0.125982i | ||||
\(393\) | 10.8855 | + | 11.1347i | 0.549099 | + | 0.561672i | ||||
\(394\) | 0.270268 | − | 0.742556i | 0.0136159 | − | 0.0374094i | ||||
\(395\) | −12.8954 | + | 19.5975i | −0.648836 | + | 0.986056i | ||||
\(396\) | −6.91924 | − | 12.6367i | −0.347705 | − | 0.635018i | ||||
\(397\) | 28.0894 | − | 4.95291i | 1.40976 | − | 0.248580i | 0.583615 | − | 0.812030i | \(-0.301638\pi\) |
0.826150 | + | 0.563451i | \(0.190527\pi\) | |||||||
\(398\) | − | 14.4327i | − | 0.723446i | ||||||
\(399\) | 3.93041 | − | 9.95987i | 0.196767 | − | 0.498617i | ||||
\(400\) | −1.43602 | + | 4.78935i | −0.0718012 | + | 0.239467i | ||||
\(401\) | 0.583919 | + | 3.31157i | 0.0291595 | + | 0.165372i | 0.995910 | − | 0.0903491i | \(-0.0287983\pi\) |
−0.966751 | + | 0.255721i | \(0.917687\pi\) | |||||||
\(402\) | −17.0883 | + | 11.6794i | −0.852288 | + | 0.582514i | ||||
\(403\) | 18.9590 | + | 52.0894i | 0.944415 | + | 2.59476i | ||||
\(404\) | 2.61218 | − | 7.17692i | 0.129961 | − | 0.357065i | ||||
\(405\) | 8.80293 | − | 18.0972i | 0.437421 | − | 0.899257i | ||||
\(406\) | −3.44635 | + | 5.96926i | −0.171040 | + | 0.296249i | ||||
\(407\) | 26.2984 | − | 15.1834i | 1.30357 | − | 0.752614i | ||||
\(408\) | 2.33814 | − | 8.34699i | 0.115755 | − | 0.413238i | ||||
\(409\) | −35.2334 | − | 6.21261i | −1.74218 | − | 0.307194i | −0.790087 | − | 0.612995i | \(-0.789964\pi\) |
−0.952095 | + | 0.305802i | \(0.901076\pi\) | |||||||
\(410\) | 9.69620 | + | 4.18494i | 0.478861 | + | 0.206680i | ||||
\(411\) | −6.53971 | − | 4.69035i | −0.322580 | − | 0.231358i | ||||
\(412\) | −10.8136 | − | 9.07370i | −0.532749 | − | 0.447029i | ||||
\(413\) | −1.94805 | + | 5.35222i | −0.0958572 | + | 0.263366i | ||||
\(414\) | 2.16953 | + | 14.1731i | 0.106627 | + | 0.696569i | ||||
\(415\) | −4.63383 | − | 1.09926i | −0.227466 | − | 0.0539607i | ||||
\(416\) | 5.63904 | − | 0.994315i | 0.276477 | − | 0.0487503i | ||||
\(417\) | 0.430439 | − | 4.35200i | 0.0210787 | − | 0.213118i | ||||
\(418\) | 20.3011 | − | 5.10422i | 0.992958 | − | 0.249655i | ||||
\(419\) | 0.791705i | 0.0386773i | 0.999813 | + | 0.0193387i | \(0.00615607\pi\) | ||||
−0.999813 | + | 0.0193387i | \(0.993844\pi\) | |||||||
\(420\) | 4.14505 | − | 3.60401i | 0.202258 | − | 0.175858i | ||||
\(421\) | 12.1149 | + | 14.4380i | 0.590445 | + | 0.703665i | 0.975692 | − | 0.219148i | \(-0.0703279\pi\) |
−0.385246 | + | 0.922814i | \(0.625883\pi\) | |||||||
\(422\) | 11.6637 | − | 4.24522i | 0.567778 | − | 0.206654i | ||||
\(423\) | −2.88183 | − | 1.75198i | −0.140120 | − | 0.0851841i | ||||
\(424\) | 0.134728 | + | 0.113050i | 0.00654297 | + | 0.00549020i | ||||
\(425\) | 17.1643 | + | 18.2084i | 0.832592 | + | 0.883237i | ||||
\(426\) | 8.47421 | + | 18.7234i | 0.410577 | + | 0.907153i | ||||
\(427\) | 0.994199 | + | 0.175304i | 0.0481127 | + | 0.00848356i | ||||
\(428\) | −3.20914 | − | 0.565858i | −0.155120 | − | 0.0273518i | ||||
\(429\) | −19.6388 | − | 43.3912i | −0.948171 | − | 2.09495i | ||||
\(430\) | 20.0743 | − | 2.34208i | 0.968068 | − | 0.112945i | ||||
\(431\) | 7.47680 | + | 6.27378i | 0.360145 | + | 0.302197i | 0.804848 | − | 0.593480i | \(-0.202247\pi\) |
−0.444704 | + | 0.895678i | \(0.646691\pi\) | |||||||
\(432\) | 3.12318 | − | 4.15280i | 0.150264 | − | 0.199802i | ||||
\(433\) | 17.3942 | − | 6.33098i | 0.835913 | − | 0.304247i | 0.111629 | − | 0.993750i | \(-0.464393\pi\) |
0.724283 | + | 0.689503i | \(0.242171\pi\) | |||||||
\(434\) | 8.82514 | + | 10.5174i | 0.423620 | + | 0.504851i | ||||
\(435\) | −12.3506 | − | 14.2046i | −0.592165 | − | 0.681061i | ||||
\(436\) | 16.0155i | 0.767004i | ||||||||
\(437\) | −20.7230 | − | 2.13672i | −0.991316 | − | 0.102213i | ||||
\(438\) | −0.131726 | + | 1.33183i | −0.00629409 | + | 0.0636371i | ||||
\(439\) | −17.0425 | + | 3.00505i | −0.813394 | + | 0.143423i | −0.564846 | − | 0.825196i | \(-0.691065\pi\) |
−0.248548 | + | 0.968620i | \(0.579953\pi\) | |||||||
\(440\) | 10.4484 | + | 2.47863i | 0.498107 | + | 0.118164i | ||||
\(441\) | 14.7936 | − | 2.26452i | 0.704458 | − | 0.107834i | ||||
\(442\) | 9.80118 | − | 26.9285i | 0.466194 | − | 1.28086i | ||||
\(443\) | 5.68509 | + | 4.77036i | 0.270107 | + | 0.226647i | 0.767773 | − | 0.640722i | \(-0.221365\pi\) |
−0.497666 | + | 0.867369i | \(0.665809\pi\) | |||||||
\(444\) | 8.89996 | + | 6.38315i | 0.422373 | + | 0.302931i | ||||
\(445\) | 0.491002 | − | 1.13761i | 0.0232757 | − | 0.0539281i | ||||
\(446\) | −19.9121 | − | 3.51105i | −0.942867 | − | 0.166253i | ||||
\(447\) | 5.26399 | − | 18.7920i | 0.248978 | − | 0.888832i | ||||
\(448\) | 1.22822 | − | 0.709111i | 0.0580278 | − | 0.0335024i | ||||
\(449\) | −3.42022 | + | 5.92399i | −0.161410 | + | 0.279570i | −0.935375 | − | 0.353658i | \(-0.884938\pi\) |
0.773965 | + | 0.633229i | \(0.218271\pi\) | |||||||
\(450\) | 5.62208 | + | 13.9066i | 0.265027 | + | 0.655561i | ||||
\(451\) | 7.75739 | − | 21.3132i | 0.365281 | − | 1.00360i | ||||
\(452\) | 2.12176 | + | 5.82949i | 0.0997992 | + | 0.274196i | ||||
\(453\) | −28.0414 | + | 19.1655i | −1.31750 | + | 0.900474i | ||||
\(454\) | −4.62276 | − | 26.2170i | −0.216957 | − | 1.23042i | ||||
\(455\) | 14.5677 | − | 10.8405i | 0.682946 | − | 0.508212i | ||||
\(456\) | 4.69623 | + | 5.91147i | 0.219921 | + | 0.276830i | ||||
\(457\) | 1.24574i | 0.0582734i | 0.999575 | + | 0.0291367i | \(0.00927581\pi\) | ||||
−0.999575 | + | 0.0291367i | \(0.990724\pi\) | |||||||
\(458\) | −19.7386 | + | 3.48044i | −0.922322 | + | 0.162630i | ||||
\(459\) | −10.1836 | − | 23.9279i | −0.475332 | − | 1.11686i | ||||
\(460\) | −8.92766 | − | 5.87449i | −0.416254 | − | 0.273900i | ||||
\(461\) | 4.17855 | − | 11.4805i | 0.194614 | − | 0.534699i | −0.803552 | − | 0.595235i | \(-0.797059\pi\) |
0.998166 | + | 0.0605363i | \(0.0192811\pi\) | |||||||
\(462\) | −8.24653 | − | 8.43536i | −0.383663 | − | 0.392448i | ||||
\(463\) | 5.36979 | + | 3.10025i | 0.249555 | + | 0.144081i | 0.619561 | − | 0.784949i | \(-0.287311\pi\) |
−0.370005 | + | 0.929030i | \(0.620644\pi\) | |||||||
\(464\) | −2.43005 | − | 4.20897i | −0.112812 | − | 0.195397i | ||||
\(465\) | −35.0017 | + | 13.4402i | −1.62317 | + | 0.623274i | ||||
\(466\) | 2.45733 | + | 0.433293i | 0.113834 | + | 0.0200719i | ||||
\(467\) | 15.7559 | + | 27.2901i | 0.729097 | + | 1.26283i | 0.957265 | + | 0.289212i | \(0.0933933\pi\) |
−0.228168 | + | 0.973622i | \(0.573273\pi\) | |||||||
\(468\) | 11.3369 | − | 12.9059i | 0.524049 | − | 0.596574i | ||||
\(469\) | −10.8939 | + | 12.9829i | −0.503036 | + | 0.599494i | ||||
\(470\) | 2.40833 | − | 0.720456i | 0.111088 | − | 0.0332322i | ||||
\(471\) | 24.5377 | − | 6.27806i | 1.13064 | − | 0.289278i | ||||
\(472\) | −2.58149 | − | 3.07651i | −0.118823 | − | 0.141608i | ||||
\(473\) | −7.53727 | − | 42.7460i | −0.346564 | − | 1.96546i | ||||
\(474\) | −1.78856 | + | 18.0835i | −0.0821515 | + | 0.830601i | ||||
\(475\) | −21.6119 | + | 2.81549i | −0.991621 | + | 0.129184i | ||||
\(476\) | − | 7.09769i | − | 0.325322i | ||||||
\(477\) | 0.527489 | + | 0.0119432i | 0.0241521 | + | 0.000546844i | ||||
\(478\) | 11.0816 | − | 9.29859i | 0.506862 | − | 0.425308i | ||||
\(479\) | −1.99506 | − | 5.48139i | −0.0911568 | − | 0.250451i | 0.885733 | − | 0.464195i | \(-0.153656\pi\) |
−0.976890 | + | 0.213744i | \(0.931434\pi\) | |||||||
\(480\) | 0.739407 | + | 3.80175i | 0.0337492 | + | 0.173525i | ||||
\(481\) | 27.7367 | + | 23.2738i | 1.26468 | + | 1.06120i | ||||
\(482\) | −7.00029 | + | 12.1249i | −0.318855 | + | 0.552272i | ||||
\(483\) | 4.84089 | + | 10.6958i | 0.220268 | + | 0.486674i | ||||
\(484\) | 2.09463 | − | 11.8792i | 0.0952102 | − | 0.539964i | ||||
\(485\) | 39.1438 | − | 19.6485i | 1.77743 | − | 0.892192i | ||||
\(486\) | −0.478053 | − | 15.5811i | −0.0216849 | − | 0.706774i | ||||
\(487\) | 2.75503 | − | 4.77186i | 0.124842 | − | 0.216234i | −0.796829 | − | 0.604205i | \(-0.793491\pi\) |
0.921671 | + | 0.387972i | \(0.126824\pi\) | |||||||
\(488\) | −0.457557 | + | 0.545295i | −0.0207126 | + | 0.0246844i | ||||
\(489\) | 2.09784 | + | 1.00730i | 0.0948678 | + | 0.0455519i | ||||
\(490\) | −6.13170 | + | 9.31854i | −0.277002 | + | 0.420969i | ||||
\(491\) | 11.0236 | + | 13.1374i | 0.497489 | + | 0.592885i | 0.955106 | − | 0.296265i | \(-0.0957412\pi\) |
−0.457617 | + | 0.889150i | \(0.651297\pi\) | |||||||
\(492\) | 8.15676 | − | 0.620680i | 0.367735 | − | 0.0279824i | ||||
\(493\) | −24.3231 | −1.09546 | ||||||||
\(494\) | 13.9978 | + | 20.6645i | 0.629792 | + | 0.929741i | ||||
\(495\) | 29.1112 | − | 13.7966i | 1.30845 | − | 0.620113i | ||||
\(496\) | −9.53370 | + | 1.68105i | −0.428076 | + | 0.0754813i | ||||
\(497\) | 10.8169 | + | 12.8911i | 0.485204 | + | 0.578244i | ||||
\(498\) | −3.57384 | + | 0.914381i | −0.160148 | + | 0.0409744i | ||||
\(499\) | −24.7622 | − | 9.01269i | −1.10851 | − | 0.403463i | −0.278061 | − | 0.960563i | \(-0.589692\pi\) |
−0.830445 | + | 0.557100i | \(0.811914\pi\) | |||||||
\(500\) | −10.5037 | − | 3.83051i | −0.469739 | − | 0.171305i | ||||
\(501\) | 1.90656 | − | 2.65829i | 0.0851787 | − | 0.118764i | ||||
\(502\) | 12.1055 | + | 20.9674i | 0.540295 | + | 0.935819i | ||||
\(503\) | −6.28854 | + | 35.6641i | −0.280392 | + | 1.59018i | 0.440903 | + | 0.897555i | \(0.354658\pi\) |
−0.721295 | + | 0.692628i | \(0.756453\pi\) | |||||||
\(504\) | 1.54531 | − | 3.96412i | 0.0688335 | − | 0.176576i | ||||
\(505\) | 15.6799 | + | 6.76754i | 0.697746 | + | 0.301152i | ||||
\(506\) | −11.4761 | + | 19.8772i | −0.510176 | + | 0.883651i | ||||
\(507\) | 24.5073 | − | 23.9587i | 1.08841 | − | 1.06404i | ||||
\(508\) | 4.17267 | + | 1.51873i | 0.185132 | + | 0.0673827i | ||||
\(509\) | 18.8278 | − | 6.85277i | 0.834529 | − | 0.303744i | 0.110813 | − | 0.993841i | \(-0.464655\pi\) |
0.723716 | + | 0.690098i | \(0.242432\pi\) | |||||||
\(510\) | 18.3275 | + | 6.30849i | 0.811557 | + | 0.279345i | ||||
\(511\) | 0.190290 | + | 1.07919i | 0.00841792 | + | 0.0477404i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 22.0838 | + | 5.03048i | 0.975024 | + | 0.222101i | ||||
\(514\) | 23.1818 | 1.02251 | ||||||||
\(515\) | 21.6658 | − | 22.9548i | 0.954711 | − | 1.01151i | ||||
\(516\) | 12.9246 | − | 8.83358i | 0.568973 | − | 0.388877i | ||||
\(517\) | −1.84649 | − | 5.07319i | −0.0812086 | − | 0.223119i | ||||
\(518\) | 8.42707 | + | 3.06720i | 0.370264 | + | 0.134765i | ||||
\(519\) | −4.99054 | − | 5.10482i | −0.219060 | − | 0.224077i | ||||
\(520\) | 1.48376 | + | 12.7175i | 0.0650674 | + | 0.557701i | ||||
\(521\) | −14.2673 | − | 24.7117i | −0.625061 | − | 1.08264i | −0.988529 | − | 0.151031i | \(-0.951741\pi\) |
0.363468 | − | 0.931607i | \(-0.381593\pi\) | |||||||
\(522\) | −13.5846 | − | 5.29561i | −0.594582 | − | 0.231783i | ||||
\(523\) | 1.42189 | − | 8.06393i | 0.0621748 | − | 0.352611i | −0.937810 | − | 0.347148i | \(-0.887150\pi\) |
0.999985 | − | 0.00546262i | \(-0.00173881\pi\) | |||||||
\(524\) | −7.78581 | + | 4.49514i | −0.340125 | + | 0.196371i | ||||
\(525\) | 7.50422 | + | 9.72308i | 0.327511 | + | 0.424350i | ||||
\(526\) | 2.89049 | − | 3.44475i | 0.126031 | − | 0.150198i | ||||
\(527\) | −16.5704 | + | 45.5269i | −0.721820 | + | 1.98318i | ||||
\(528\) | 8.05832 | − | 2.06175i | 0.350694 | − | 0.0897263i | ||||
\(529\) | −0.120610 | + | 0.101204i | −0.00524392 | + | 0.00440017i | ||||
\(530\) | −0.269937 | + | 0.285996i | −0.0117253 | + | 0.0124229i | ||||
\(531\) | −11.8148 | − | 2.36021i | −0.512720 | − | 0.102424i | ||||
\(532\) | 5.00842 | + | 3.62374i | 0.217142 | + | 0.157109i | ||||
\(533\) | 27.0436 | 1.17139 | ||||||||
\(534\) | −0.0728218 | − | 0.956999i | −0.00315131 | − | 0.0414134i | ||||
\(535\) | 1.68188 | − | 7.08980i | 0.0727141 | − | 0.306519i | ||||
\(536\) | −4.08719 | − | 11.2295i | −0.176540 | − | 0.485039i | ||||
\(537\) | −9.27612 | + | 19.3187i | −0.400294 | + | 0.833665i | ||||
\(538\) | 1.95718 | − | 2.33247i | 0.0843798 | − | 0.100560i | ||||
\(539\) | 20.7475 | + | 11.9786i | 0.893659 | + | 0.515954i | ||||
\(540\) | 8.86260 | + | 7.51361i | 0.381385 | + | 0.323334i | ||||
\(541\) | 0.949568 | − | 5.38527i | 0.0408251 | − | 0.231531i | −0.957567 | − | 0.288210i | \(-0.906940\pi\) |
0.998392 | + | 0.0566788i | \(0.0180511\pi\) | |||||||
\(542\) | −9.99522 | − | 1.76243i | −0.429331 | − | 0.0757027i | ||||
\(543\) | −6.48747 | − | 14.3338i | −0.278404 | − | 0.615123i | ||||
\(544\) | 4.33414 | + | 2.50232i | 0.185825 | + | 0.107286i | ||||
\(545\) | −35.7508 | − | 2.08976i | −1.53139 | − | 0.0895157i | ||||
\(546\) | 6.08829 | − | 12.6797i | 0.260555 | − | 0.542640i | ||||
\(547\) | −17.2181 | + | 6.26689i | −0.736194 | + | 0.267953i | −0.682784 | − | 0.730620i | \(-0.739231\pi\) |
−0.0534097 | + | 0.998573i | \(0.517009\pi\) | |||||||
\(548\) | 3.55935 | − | 2.98665i | 0.152048 | − | 0.127583i | ||||
\(549\) | −0.0483388 | + | 2.13495i | −0.00206305 | + | 0.0911174i | ||||
\(550\) | −6.89628 | + | 23.0001i | −0.294058 | + | 0.980726i | ||||
\(551\) | 12.4182 | − | 17.1633i | 0.529033 | − | 0.731182i | ||||
\(552\) | −8.23795 | − | 0.814783i | −0.350630 | − | 0.0346794i | ||||
\(553\) | 2.58375 | + | 14.6531i | 0.109872 | + | 0.623115i | ||||
\(554\) | −3.39096 | + | 2.84536i | −0.144068 | + | 0.120888i | ||||
\(555\) | −15.4101 | + | 19.0341i | −0.654124 | + | 0.807953i | ||||
\(556\) | 2.37262 | + | 0.863563i | 0.100622 | + | 0.0366232i | ||||
\(557\) | −10.2164 | − | 8.57260i | −0.432884 | − | 0.363233i | 0.400155 | − | 0.916448i | \(-0.368956\pi\) |
−0.833039 | + | 0.553215i | \(0.813401\pi\) | |||||||
\(558\) | −19.1668 | + | 21.8194i | −0.811397 | + | 0.923690i | ||||
\(559\) | 44.8204 | − | 25.8770i | 1.89570 | − | 1.09448i | ||||
\(560\) | 1.42266 | + | 2.83422i | 0.0601182 | + | 0.119768i | ||||
\(561\) | 11.2286 | − | 40.0851i | 0.474070 | − | 1.69239i | ||||
\(562\) | 26.7183 | − | 15.4258i | 1.12704 | − | 0.650699i | ||||
\(563\) | −32.8298 | − | 18.9543i | −1.38361 | − | 0.798829i | −0.391027 | − | 0.920379i | \(-0.627880\pi\) |
−0.992585 | + | 0.121550i | \(0.961214\pi\) | |||||||
\(564\) | 1.39235 | − | 1.36118i | 0.0586286 | − | 0.0573162i | ||||
\(565\) | −13.2898 | + | 3.97566i | −0.559105 | + | 0.167257i | ||||
\(566\) | 11.2534 | − | 4.09589i | 0.473015 | − | 0.172163i | ||||
\(567\) | −3.81821 | − | 12.1795i | −0.160350 | − | 0.511492i | ||||
\(568\) | −11.6854 | + | 2.06044i | −0.490307 | + | 0.0864543i | ||||
\(569\) | 17.7730 | 0.745083 | 0.372542 | − | 0.928016i | \(-0.378486\pi\) | ||||
0.372542 | + | 0.928016i | \(0.378486\pi\) | |||||||
\(570\) | −13.8087 | + | 9.71184i | −0.578383 | + | 0.406784i | ||||
\(571\) | −4.65101 | −0.194639 | −0.0973193 | − | 0.995253i | \(-0.531027\pi\) | ||||
−0.0973193 | + | 0.995253i | \(0.531027\pi\) | |||||||
\(572\) | 27.0806 | − | 4.77504i | 1.13230 | − | 0.199654i | ||||
\(573\) | −32.0905 | + | 21.9329i | −1.34060 | + | 0.916260i | ||||
\(574\) | 6.29421 | − | 2.29090i | 0.262715 | − | 0.0956205i | ||||
\(575\) | 14.2783 | − | 19.1623i | 0.595446 | − | 0.799123i | ||||
\(576\) | 1.87585 | + | 2.34119i | 0.0781604 | + | 0.0975498i | ||||
\(577\) | −3.11745 | − | 1.79986i | −0.129781 | − | 0.0749292i | 0.433704 | − | 0.901055i | \(-0.357206\pi\) |
−0.563485 | + | 0.826126i | \(0.690540\pi\) | |||||||
\(578\) | 6.96839 | − | 4.02320i | 0.289847 | − | 0.167343i | ||||
\(579\) | −16.8866 | − | 4.73023i | −0.701781 | − | 0.196582i | ||||
\(580\) | 9.71259 | − | 4.87530i | 0.403293 | − | 0.202436i | ||||
\(581\) | −2.61588 | + | 1.51028i | −0.108525 | + | 0.0626570i | ||||
\(582\) | 19.7725 | − | 27.5686i | 0.819598 | − | 1.14276i | ||||
\(583\) | 0.647009 | + | 0.542905i | 0.0267964 | + | 0.0224848i | ||||
\(584\) | −0.726084 | − | 0.264273i | −0.0300456 | − | 0.0109357i | ||||
\(585\) | 27.3299 | + | 26.9909i | 1.12995 | + | 1.11594i | ||||
\(586\) | 0.890112 | − | 0.746892i | 0.0367702 | − | 0.0308538i | ||||
\(587\) | 6.87823 | + | 39.0084i | 0.283895 | + | 1.61005i | 0.709206 | + | 0.705001i | \(0.249054\pi\) |
−0.425311 | + | 0.905047i | \(0.639835\pi\) | |||||||
\(588\) | −0.850456 | + | 8.59863i | −0.0350722 | + | 0.354602i | ||||
\(589\) | −23.6656 | − | 34.9367i | −0.975122 | − | 1.43954i | ||||
\(590\) | 7.20440 | − | 5.36113i | 0.296600 | − | 0.220714i | ||||
\(591\) | 1.36474 | − | 0.103849i | 0.0561380 | − | 0.00427176i | ||||
\(592\) | −4.84396 | + | 4.06457i | −0.199086 | + | 0.167053i | ||||
\(593\) | 20.7672 | − | 7.55865i | 0.852807 | − | 0.310396i | 0.121623 | − | 0.992576i | \(-0.461190\pi\) |
0.731184 | + | 0.682180i | \(0.238968\pi\) | |||||||
\(594\) | 14.9986 | − | 19.9432i | 0.615399 | − | 0.818278i | ||||
\(595\) | 15.8439 | + | 0.926133i | 0.649535 | + | 0.0379678i | ||||
\(596\) | 9.75769 | + | 5.63360i | 0.399690 | + | 0.230761i | ||||
\(597\) | 22.7742 | − | 10.3076i | 0.932085 | − | 0.421861i | ||||
\(598\) | −26.9512 | − | 4.75222i | −1.10212 | − | 0.194333i | ||||
\(599\) | 4.39302 | − | 24.9141i | 0.179494 | − | 1.01796i | −0.753334 | − | 0.657638i | \(-0.771556\pi\) |
0.932828 | − | 0.360323i | \(-0.117333\pi\) | |||||||
\(600\) | −8.58296 | + | 1.15448i | −0.350398 | + | 0.0471315i | ||||
\(601\) | −39.5222 | − | 22.8182i | −1.61215 | − | 0.930773i | −0.988872 | − | 0.148769i | \(-0.952469\pi\) |
−0.623274 | − | 0.782003i | \(-0.714198\pi\) | |||||||
\(602\) | 8.23954 | − | 9.81950i | 0.335818 | − | 0.400213i | ||||
\(603\) | −30.6337 | − | 18.6234i | −1.24750 | − | 0.758404i | ||||
\(604\) | −6.70696 | − | 18.4272i | −0.272902 | − | 0.749793i | ||||
\(605\) | 26.2441 | + | 6.22579i | 1.06698 | + | 0.253114i | ||||
\(606\) | 13.1904 | − | 1.00371i | 0.535825 | − | 0.0407730i | ||||
\(607\) | −22.8014 | −0.925482 | −0.462741 | − | 0.886493i | \(-0.653134\pi\) | ||||
−0.462741 | + | 0.886493i | \(0.653134\pi\) | |||||||
\(608\) | −3.97854 | + | 1.78078i | −0.161351 | + | 0.0722202i | ||||
\(609\) | −11.8805 | − | 1.17506i | −0.481424 | − | 0.0476157i | ||||
\(610\) | −1.15754 | − | 1.09254i | −0.0468672 | − | 0.0442355i | ||||
\(611\) | 4.93118 | − | 4.13775i | 0.199494 | − | 0.167395i | ||||
\(612\) | 14.8410 | − | 2.27178i | 0.599914 | − | 0.0918313i | ||||
\(613\) | 2.80974 | − | 7.71971i | 0.113484 | − | 0.311796i | −0.869928 | − | 0.493178i | \(-0.835835\pi\) |
0.983413 | + | 0.181382i | \(0.0580572\pi\) | |||||||
\(614\) | −5.61729 | + | 6.69443i | −0.226696 | + | 0.270165i | ||||
\(615\) | 0.321193 | + | 18.2890i | 0.0129518 | + | 0.737483i | ||||
\(616\) | 5.89831 | − | 3.40539i | 0.237650 | − | 0.137207i | ||||
\(617\) | 6.51429 | − | 36.9444i | 0.262255 | − | 1.48732i | −0.514483 | − | 0.857501i | \(-0.672016\pi\) |
0.776738 | − | 0.629823i | \(-0.216873\pi\) | |||||||
\(618\) | 6.59501 | − | 23.5437i | 0.265290 | − | 0.947066i | ||||
\(619\) | 9.45192 | + | 16.3712i | 0.379905 | + | 0.658014i | 0.991048 | − | 0.133506i | \(-0.0426235\pi\) |
−0.611143 | + | 0.791520i | \(0.709290\pi\) | |||||||
\(620\) | −2.50854 | − | 21.5010i | −0.100745 | − | 0.863501i | ||||
\(621\) | −20.8150 | + | 13.5456i | −0.835279 | + | 0.543565i | ||||
\(622\) | −16.4233 | − | 5.97759i | −0.658515 | − | 0.239680i | ||||
\(623\) | −0.268782 | − | 0.738473i | −0.0107685 | − | 0.0295863i | ||||
\(624\) | 5.59629 | + | 8.18804i | 0.224031 | + | 0.327784i | ||||
\(625\) | 9.92124 | − | 22.9471i | 0.396850 | − | 0.917884i | ||||
\(626\) | 11.0790 | 0.442806 | ||||||||
\(627\) | 22.5529 | + | 28.3889i | 0.900676 | + | 1.13374i | ||||
\(628\) | 14.6232i | 0.583528i | ||||||||
\(629\) | 5.49528 | + | 31.1653i | 0.219111 | + | 1.24264i | ||||
\(630\) | 8.64729 | + | 3.96678i | 0.344516 | + | 0.158040i | ||||
\(631\) | −1.50942 | + | 0.549385i | −0.0600891 | + | 0.0218707i | −0.371890 | − | 0.928277i | \(-0.621290\pi\) |
0.311801 | + | 0.950148i | \(0.399068\pi\) | |||||||
\(632\) | −9.85873 | − | 3.58828i | −0.392159 | − | 0.142734i | ||||
\(633\) | 15.0287 | + | 15.3729i | 0.597339 | + | 0.611017i | ||||
\(634\) | 4.95910 | − | 8.58942i | 0.196951 | − | 0.341129i | ||||
\(635\) | −3.93466 | + | 9.11631i | −0.156142 | + | 0.361770i | ||||
\(636\) | −0.0821679 | + | 0.293333i | −0.00325817 | + | 0.0116314i | ||||
\(637\) | −4.96028 | + | 28.1312i | −0.196534 | + | 1.11460i | ||||
\(638\) | −11.6699 | − | 20.2129i | −0.462017 | − | 0.800237i | ||||
\(639\) | −23.4926 | + | 26.7439i | −0.929354 | + | 1.05797i | ||||
\(640\) | −2.23226 | − | 0.130484i | −0.0882377 | − | 0.00515782i | ||||
\(641\) | −13.3177 | − | 4.84724i | −0.526017 | − | 0.191455i | 0.0653420 | − | 0.997863i | \(-0.479186\pi\) |
−0.591359 | + | 0.806408i | \(0.701408\pi\) | |||||||
\(642\) | −1.39901 | − | 5.46801i | −0.0552146 | − | 0.215805i | ||||
\(643\) | −10.8475 | − | 12.9275i | −0.427782 | − | 0.509811i | 0.508499 | − | 0.861063i | \(-0.330201\pi\) |
−0.936281 | + | 0.351252i | \(0.885756\pi\) | |||||||
\(644\) | −6.67526 | + | 1.17703i | −0.263042 | + | 0.0463814i | ||||
\(645\) | 18.0324 | + | 30.0037i | 0.710024 | + | 1.18139i | ||||
\(646\) | −2.23742 | + | 21.6997i | −0.0880302 | + | 0.853762i | ||||
\(647\) | −5.35296 | −0.210447 | −0.105223 | − | 0.994449i | \(-0.533556\pi\) | ||||
−0.105223 | + | 0.994449i | \(0.533556\pi\) | |||||||
\(648\) | 8.78345 | + | 1.96239i | 0.345047 | + | 0.0770898i | ||||
\(649\) | −12.3972 | − | 14.7744i | −0.486633 | − | 0.579947i | ||||
\(650\) | −28.5824 | + | 1.65271i | −1.12109 | + | 0.0648248i | ||||
\(651\) | −10.2932 | + | 21.4370i | −0.403423 | + | 0.840183i | ||||
\(652\) | −0.863636 | + | 1.02924i | −0.0338226 | + | 0.0403082i | ||||
\(653\) | −17.4454 | + | 30.2163i | −0.682692 | + | 1.18246i | 0.291465 | + | 0.956582i | \(0.405857\pi\) |
−0.974156 | + | 0.225875i | \(0.927476\pi\) | |||||||
\(654\) | −25.2718 | + | 11.4380i | −0.988205 | + | 0.447261i | ||||
\(655\) | −9.01839 | − | 17.9665i | −0.352378 | − | 0.702008i | ||||
\(656\) | −0.820127 | + | 4.65117i | −0.0320206 | + | 0.181598i | ||||
\(657\) | −2.19564 | + | 0.743309i | −0.0856600 | + | 0.0289992i | ||||
\(658\) | 0.797182 | − | 1.38076i | 0.0310774 | − | 0.0538276i | ||||
\(659\) | −6.36176 | − | 5.33815i | −0.247819 | − | 0.207945i | 0.510414 | − | 0.859929i | \(-0.329492\pi\) |
−0.758232 | + | 0.651984i | \(0.773937\pi\) | |||||||
\(660\) | 3.55088 | + | 18.2573i | 0.138218 | + | 0.710664i | ||||
\(661\) | −7.72468 | − | 21.2234i | −0.300455 | − | 0.825493i | −0.994421 | − | 0.105485i | \(-0.966360\pi\) |
0.693966 | − | 0.720008i | \(-0.255862\pi\) | |||||||
\(662\) | 1.36710 | − | 1.14714i | 0.0531340 | − | 0.0445847i | ||||
\(663\) | 49.4918 | − | 3.76603i | 1.92210 | − | 0.146260i | ||||
\(664\) | − | 2.12982i | − | 0.0826531i | ||||||
\(665\) | −8.74264 | + | 10.7072i | −0.339025 | + | 0.415209i | ||||
\(666\) | −3.71615 | + | 18.6025i | −0.143998 | + | 0.720831i | ||||
\(667\) | 4.03355 | + | 22.8754i | 0.156180 | + | 0.885740i | ||||
\(668\) | 1.21403 | + | 1.44682i | 0.0469721 | + | 0.0559792i | ||||
\(669\) | −8.68061 | − | 33.9280i | −0.335612 | − | 1.31173i | ||||
\(670\) | 25.6004 | − | 7.65840i | 0.989029 | − | 0.295870i | ||||
\(671\) | −2.19734 | + | 2.61869i | −0.0848275 | + | 0.101094i | ||||
\(672\) | 1.99612 | + | 1.43164i | 0.0770019 | + | 0.0552266i | ||||
\(673\) | −7.25134 | − | 12.5597i | −0.279519 | − | 0.484141i | 0.691747 | − | 0.722140i | \(-0.256842\pi\) |
−0.971265 | + | 0.238000i | \(0.923508\pi\) | |||||||
\(674\) | −14.4598 | − | 2.54965i | −0.556970 | − | 0.0982088i | ||||
\(675\) | −17.9287 | + | 18.8032i | −0.690078 | + | 0.723735i | ||||
\(676\) | 9.89372 | + | 17.1364i | 0.380528 | + | 0.659094i | ||||
\(677\) | −25.0311 | − | 14.4517i | −0.962025 | − | 0.555425i | −0.0652290 | − | 0.997870i | \(-0.520778\pi\) |
−0.896796 | + | 0.442445i | \(0.854111\pi\) | |||||||
\(678\) | −7.68335 | + | 7.51136i | −0.295077 | + | 0.288472i | ||||
\(679\) | 9.50100 | − | 26.1038i | 0.364615 | − | 1.00177i | ||||
\(680\) | −6.15136 | + | 9.34841i | −0.235894 | + | 0.358495i | ||||
\(681\) | 38.0677 | − | 26.0182i | 1.45876 | − | 0.997019i | ||||
\(682\) | −45.7840 | + | 8.07296i | −1.75316 | + | 0.309130i | ||||
\(683\) | 26.1222i | 0.999537i | 0.866159 | + | 0.499768i | \(0.166582\pi\) | ||||
−0.866159 | + | 0.499768i | \(0.833418\pi\) | |||||||
\(684\) | −5.97407 | + | 11.6323i | −0.228424 | + | 0.444772i | ||||
\(685\) | 6.20253 | + | 8.33510i | 0.236987 | + | 0.318468i | ||||
\(686\) | 2.95246 | + | 16.7443i | 0.112726 | + | 0.639299i | ||||
\(687\) | −19.5889 | − | 28.6609i | −0.747363 | − | 1.09348i | ||||
\(688\) | 3.09131 | + | 8.49330i | 0.117855 | + | 0.323804i | ||||
\(689\) | −0.344437 | + | 0.946332i | −0.0131220 | + | 0.0360524i | ||||
\(690\) | 2.89372 | − | 18.2829i | 0.110162 | − | 0.696018i | ||||
\(691\) | −22.3974 | + | 38.7935i | −0.852038 | + | 1.47577i | 0.0273283 | + | 0.999627i | \(0.491300\pi\) |
−0.879366 | + | 0.476146i | \(0.842033\pi\) | |||||||
\(692\) | 3.56948 | − | 2.06084i | 0.135691 | − | 0.0783413i | ||||
\(693\) | 7.42110 | − | 19.0370i | 0.281904 | − | 0.723157i | ||||
\(694\) | −12.9724 | − | 2.28738i | −0.492424 | − | 0.0868277i | ||||
\(695\) | −2.23728 | + | 5.18362i | −0.0848650 | + | 0.196626i | ||||
\(696\) | 4.90607 | − | 6.84048i | 0.185964 | − | 0.259288i | ||||
\(697\) | 18.1066 | + | 15.1933i | 0.685837 | + | 0.575486i | ||||
\(698\) | 0.0963803 | − | 0.264803i | 0.00364805 | − | 0.0100229i | ||||
\(699\) | 1.07126 | + | 4.18701i | 0.0405188 | + | 0.158367i | ||||
\(700\) | −6.51235 | + | 2.80592i | −0.246144 | + | 0.106054i | ||||
\(701\) | −46.1368 | + | 8.13516i | −1.74256 | + | 0.307261i | −0.952222 | − | 0.305407i | \(-0.901208\pi\) |
−0.790341 | + | 0.612667i | \(0.790097\pi\) | |||||||
\(702\) | 28.4615 | + | 8.67200i | 1.07421 | + | 0.327304i | ||||
\(703\) | −24.7971 | − | 12.0338i | −0.935240 | − | 0.453864i | ||||
\(704\) | 4.80234i | 0.180995i | ||||||||
\(705\) | 2.85683 | + | 3.28570i | 0.107595 | + | 0.123747i | ||||
\(706\) | −2.73163 | − | 3.25543i | −0.102806 | − | 0.122520i | ||||
\(707\) | 10.1785 | − | 3.70466i | 0.382801 | − | 0.139328i | ||||
\(708\) | 3.01093 | − | 6.27067i | 0.113158 | − | 0.235666i | ||||
\(709\) | −18.7780 | − | 15.7566i | −0.705222 | − | 0.591752i | 0.218032 | − | 0.975942i | \(-0.430036\pi\) |
−0.923254 | + | 0.384190i | \(0.874481\pi\) | |||||||
\(710\) | −3.07469 | − | 26.3536i | −0.115391 | − | 0.989033i | ||||
\(711\) | −29.8123 | + | 10.0926i | −1.11805 | + | 0.378502i | ||||
\(712\) | 0.545703 | + | 0.0962221i | 0.0204511 | + | 0.00360608i | ||||
\(713\) | 45.5652 | + | 8.03438i | 1.70643 | + | 0.300890i | ||||
\(714\) | 11.1998 | − | 5.06904i | 0.419144 | − | 0.189704i | ||||
\(715\) | 7.12554 | + | 61.0739i | 0.266480 | + | 2.28404i | ||||
\(716\) | −9.47813 | − | 7.95310i | −0.354214 | − | 0.297221i | ||||
\(717\) | 22.5871 | + | 10.8454i | 0.843530 | + | 0.405030i | ||||
\(718\) | −4.19368 | + | 1.52637i | −0.156507 | + | 0.0569638i | ||||
\(719\) | −3.90235 | − | 4.65064i | −0.145533 | − | 0.173439i | 0.688354 | − | 0.725375i | \(-0.258334\pi\) |
−0.833887 | + | 0.551936i | \(0.813889\pi\) | |||||||
\(720\) | −5.47092 | + | 3.88189i | −0.203889 | + | 0.144669i | ||||
\(721\) | − | 20.0199i | − | 0.745579i | ||||||
\(722\) | −14.1698 | − | 12.6576i | −0.527347 | − | 0.471068i | ||||
\(723\) | −24.1320 | − | 2.38680i | −0.897478 | − | 0.0887659i | ||||
\(724\) | 8.94578 | − | 1.57738i | 0.332467 | − | 0.0586230i | ||||
\(725\) | 9.61558 | + | 22.3172i | 0.357114 | + | 0.828838i | ||||
\(726\) | 20.2408 | − | 5.17869i | 0.751207 | − | 0.192199i | ||||
\(727\) | 8.98220 | − | 24.6784i | 0.333131 | − | 0.915270i | −0.654161 | − | 0.756355i | \(-0.726978\pi\) |
0.987292 | − | 0.158915i | \(-0.0507996\pi\) | |||||||
\(728\) | 6.22088 | + | 5.21994i | 0.230561 | + | 0.193464i | ||||
\(729\) | 24.2449 | − | 11.8821i | 0.897960 | − | 0.440078i | ||||
\(730\) | 0.684667 | − | 1.58632i | 0.0253407 | − | 0.0587124i | ||||
\(731\) | 44.5466 | + | 7.85478i | 1.64762 | + | 0.290519i | ||||
\(732\) | −1.18723 | − | 0.332565i | −0.0438813 | − | 0.0122920i | ||||
\(733\) | 9.94353 | − | 5.74090i | 0.367273 | − | 0.212045i | −0.304994 | − | 0.952354i | \(-0.598654\pi\) |
0.672266 | + | 0.740309i | \(0.265321\pi\) | |||||||
\(734\) | 2.39693 | − | 4.15160i | 0.0884723 | − | 0.153238i | ||||
\(735\) | −19.0834 | − | 3.02042i | −0.703901 | − | 0.111410i | ||||
\(736\) | 1.63465 | − | 4.49116i | 0.0602539 | − | 0.165546i | ||||
\(737\) | −19.6281 | − | 53.9277i | −0.723010 | − | 1.98645i | ||||
\(738\) | 6.80481 | + | 12.4277i | 0.250489 | + | 0.457471i | ||||
\(739\) | 1.78347 | + | 10.1146i | 0.0656061 | + | 0.372071i | 0.999880 | + | 0.0155136i | \(0.00493833\pi\) |
−0.934274 | + | 0.356557i | \(0.883951\pi\) | |||||||
\(740\) | −8.44110 | − | 11.3433i | −0.310301 | − | 0.416989i | ||||
\(741\) | −22.6107 | + | 36.8462i | −0.830625 | + | 1.35358i | ||||
\(742\) | 0.249430i | 0.00915685i | ||||||||
\(743\) | −19.8443 | + | 3.49908i | −0.728016 | + | 0.128369i | −0.525359 | − | 0.850881i | \(-0.676069\pi\) |
−0.202657 | + | 0.979250i | \(0.564958\pi\) | |||||||
\(744\) | −9.46141 | − | 13.8432i | −0.346872 | − | 0.507515i | ||||
\(745\) | −13.8489 | + | 21.0466i | −0.507383 | + | 0.771087i | ||||
\(746\) | 5.12672 | − | 14.0855i | 0.187703 | − | 0.515708i | ||||
\(747\) | −3.99522 | − | 4.98633i | −0.146178 | − | 0.182440i | ||||
\(748\) | 20.8140 | + | 12.0170i | 0.761036 | + | 0.439385i | ||||
\(749\) | −2.31074 | − | 4.00233i | −0.0844328 | − | 0.146242i | ||||
\(750\) | −1.45716 | − | 19.3100i | −0.0532080 | − | 0.705102i | ||||
\(751\) | 6.32900 | + | 1.11597i | 0.230949 | + | 0.0407225i | 0.287925 | − | 0.957653i | \(-0.407035\pi\) |
−0.0569760 | + | 0.998376i | \(0.518146\pi\) | |||||||
\(752\) | 0.562099 | + | 0.973584i | 0.0204976 | + | 0.0355030i | ||||
\(753\) | −24.4400 | + | 34.0765i | −0.890644 | + | 1.24182i | ||||
\(754\) | 17.8882 | − | 21.3183i | 0.651450 | − | 0.776368i | ||||
\(755\) | 42.0095 | − | 12.5672i | 1.52888 | − | 0.457368i | ||||
\(756\) | 7.35883 | − | 0.392669i | 0.267638 | − | 0.0142813i | ||||
\(757\) | −26.0578 | − | 31.0544i | −0.947086 | − | 1.12869i | −0.991556 | − | 0.129682i | \(-0.958604\pi\) |
0.0444701 | − | 0.999011i | \(-0.485840\pi\) | |||||||
\(758\) | 2.86985 | + | 16.2757i | 0.104238 | + | 0.591161i | ||||
\(759\) | −39.5614 | − | 3.91286i | −1.43599 | − | 0.142028i | ||||
\(760\) | −3.45603 | − | 9.11350i | −0.125363 | − | 0.330581i | ||||
\(761\) | 35.7467i | 1.29582i | 0.761719 | + | 0.647908i | \(0.224356\pi\) | ||||
−0.761719 | + | 0.647908i | \(0.775644\pi\) | |||||||
\(762\) | 0.583560 | + | 7.66894i | 0.0211401 | + | 0.277816i | ||||
\(763\) | −17.3996 | + | 14.6000i | −0.629908 | + | 0.528556i | ||||
\(764\) | −7.67541 | − | 21.0880i | −0.277687 | − | 0.762938i | ||||
\(765\) | 3.13469 | + | 33.4255i | 0.113335 | + | 1.20850i | ||||
\(766\) | −5.50756 | − | 4.62139i | −0.198996 | − | 0.166978i | ||||
\(767\) | 11.4981 | − | 19.9154i | 0.415174 | − | 0.719102i | ||||
\(768\) | −1.57796 | + | 0.714182i | −0.0569396 | + | 0.0257708i | ||||
\(769\) | −2.02211 | + | 11.4680i | −0.0729191 | + | 0.413545i | 0.926396 | + | 0.376550i | \(0.122890\pi\) |
−0.999315 | + | 0.0369950i | \(0.988221\pi\) | |||||||
\(770\) | 6.83208 | + | 13.6109i | 0.246211 | + | 0.490503i | ||||
\(771\) | 16.5560 | + | 36.5798i | 0.596250 | + | 1.31739i | ||||
\(772\) | 5.06237 | − | 8.76828i | 0.182199 | − | 0.315577i | ||||
\(773\) | 20.3355 | − | 24.2349i | 0.731417 | − | 0.871669i | −0.264269 | − | 0.964449i | \(-0.585131\pi\) |
0.995687 | + | 0.0927798i | \(0.0295753\pi\) | |||||||
\(774\) | 23.1695 | + | 14.0856i | 0.832811 | + | 0.506298i | ||||
\(775\) | 48.3231 | − | 2.79417i | 1.73582 | − | 0.100370i | ||||
\(776\) | 12.5904 | + | 15.0047i | 0.451971 | + | 0.538637i | ||||
\(777\) | 1.17855 | + | 15.4881i | 0.0422802 | + | 0.555632i | ||||
\(778\) | 25.7747 | 0.924067 | ||||||||
\(779\) | −19.9654 | + | 5.01981i | −0.715333 | + | 0.179853i | ||||
\(780\) | −19.0080 | + | 11.4239i | −0.680597 | + | 0.409043i | ||||
\(781\) | −56.1171 | + | 9.89495i | −2.00803 | + | 0.354069i | ||||
\(782\) | −15.3749 | − | 18.3231i | −0.549806 | − | 0.655233i | ||||
\(783\) | −1.34564 | − | 25.2180i | −0.0480892 | − | 0.901216i | ||||
\(784\) | −4.68779 | − | 1.70622i | −0.167421 | − | 0.0609363i | ||||
\(785\) | −32.6427 | − | 1.90809i | −1.16507 | − | 0.0681025i | ||||
\(786\) | −12.6536 | − | 9.07532i | −0.451340 | − | 0.323706i | ||||
\(787\) | −12.8766 | − | 22.3028i | −0.459000 | − | 0.795011i | 0.539909 | − | 0.841724i | \(-0.318459\pi\) |
−0.998908 | + | 0.0467129i | \(0.985125\pi\) | |||||||
\(788\) | −0.137219 | + | 0.778207i | −0.00488822 | + | 0.0277225i | ||||
\(789\) | 7.50000 | + | 2.10089i | 0.267007 | + | 0.0747935i | ||||
\(790\) | 9.29638 | − | 21.5390i | 0.330750 | − | 0.766323i | ||||
\(791\) | −4.39905 | + | 7.61938i | −0.156412 | + | 0.270914i | ||||
\(792\) | 9.00846 | + | 11.2432i | 0.320102 | + | 0.399510i | ||||
\(793\) | −3.83016 | − | 1.39407i | −0.136013 | − | 0.0495047i | ||||
\(794\) | −26.8026 | + | 9.75533i | −0.951187 | + | 0.346204i | ||||
\(795\) | −0.644073 | − | 0.221695i | −0.0228429 | − | 0.00786272i | ||||
\(796\) | 2.50621 | + | 14.2134i | 0.0888304 | + | 0.503782i | ||||
\(797\) | 24.6462i | 0.873012i | 0.899701 | + | 0.436506i | \(0.143784\pi\) | ||||
−0.899701 | + | 0.436506i | \(0.856216\pi\) | |||||||
\(798\) | −2.14119 | + | 10.4911i | −0.0757972 | + | 0.371380i | ||||
\(799\) | 5.62620 | 0.199041 | ||||||||
\(800\) | 0.582546 | − | 4.96595i | 0.0205961 | − | 0.175573i | ||||
\(801\) | 1.45809 | − | 0.798381i | 0.0515192 | − | 0.0282094i | ||||
\(802\) | −1.15010 | − | 3.15986i | −0.0406113 | − | 0.111579i | ||||
\(803\) | −3.48690 | − | 1.26913i | −0.123050 | − | 0.0447866i | ||||
\(804\) | 14.8006 | − | 14.4693i | 0.521977 | − | 0.510292i | ||||
\(805\) | −1.75642 | − | 15.0545i | −0.0619056 | − | 0.530601i | ||||
\(806\) | −27.7162 | − | 48.0059i | −0.976261 | − | 1.69093i | ||||
\(807\) | 5.07831 | + | 1.42253i | 0.178765 | + | 0.0500754i | ||||
\(808\) | −1.32624 | + | 7.52149i | −0.0466570 | + | 0.264605i | ||||
\(809\) | 25.2953 | − | 14.6042i | 0.889334 | − | 0.513458i | 0.0156097 | − | 0.999878i | \(-0.495031\pi\) |
0.873725 | + | 0.486421i | \(0.161698\pi\) | |||||||
\(810\) | −5.52665 | + | 19.3509i | −0.194187 | + | 0.679920i | ||||
\(811\) | −0.663509 | + | 0.790739i | −0.0232990 | + | 0.0277666i | −0.777568 | − | 0.628799i | \(-0.783547\pi\) |
0.754269 | + | 0.656565i | \(0.227991\pi\) | |||||||
\(812\) | 2.35744 | − | 6.47702i | 0.0827301 | − | 0.227299i | ||||
\(813\) | −4.35737 | − | 17.0307i | −0.152820 | − | 0.597293i | ||||
\(814\) | −23.2623 | + | 19.5194i | −0.815345 | + | 0.684155i | ||||
\(815\) | −2.18484 | − | 2.06216i | −0.0765316 | − | 0.0722342i | ||||
\(816\) | −0.853183 | + | 8.62620i | −0.0298674 | + | 0.301977i | ||||
\(817\) | −28.2860 | + | 27.4236i | −0.989603 | + | 0.959432i | ||||
\(818\) | 35.7770 | 1.25091 | ||||||||
\(819\) | 24.3561 | + | 0.551464i | 0.851072 | + | 0.0192697i | ||||
\(820\) | −10.2756 | − | 2.43764i | −0.358839 | − | 0.0851260i | ||||
\(821\) | 7.78634 | + | 21.3928i | 0.271745 | + | 0.746613i | 0.998232 | + | 0.0594334i | \(0.0189294\pi\) |
−0.726487 | + | 0.687180i | \(0.758848\pi\) | |||||||
\(822\) | 7.25483 | + | 3.48349i | 0.253041 | + | 0.121501i | ||||
\(823\) | 10.9164 | − | 13.0096i | 0.380521 | − | 0.453487i | −0.541458 | − | 0.840728i | \(-0.682127\pi\) |
0.921979 | + | 0.387241i | \(0.126572\pi\) | |||||||
\(824\) | 12.2250 | + | 7.05809i | 0.425877 | + | 0.245880i | ||||
\(825\) | −41.2183 | + | 5.54421i | −1.43504 | + | 0.193025i | ||||
\(826\) | 0.989050 | − | 5.60918i | 0.0344135 | − | 0.195168i | ||||
\(827\) | −11.4929 | − | 2.02651i | −0.399647 | − | 0.0704686i | −0.0297877 | − | 0.999556i | \(-0.509483\pi\) |
−0.369860 | + | 0.929088i | \(0.620594\pi\) | |||||||
\(828\) | −4.59770 | − | 13.5810i | −0.159781 | − | 0.471973i | ||||
\(829\) | 25.7790 | + | 14.8835i | 0.895342 | + | 0.516926i | 0.875686 | − | 0.482881i | \(-0.160409\pi\) |
0.0196563 | + | 0.999807i | \(0.493743\pi\) | |||||||
\(830\) | 4.75431 | + | 0.277907i | 0.165025 | + | 0.00964630i | ||||
\(831\) | −6.91161 | − | 3.31869i | −0.239761 | − | 0.115124i | ||||
\(832\) | −5.38071 | + | 1.95842i | −0.186543 | + | 0.0678959i | ||||
\(833\) | −19.1253 | + | 16.0481i | −0.662654 | + | 0.556033i | ||||
\(834\) | 0.331818 | + | 4.36063i | 0.0114899 | + | 0.150996i | ||||
\(835\) | −3.38809 | + | 2.52124i | −0.117250 | + | 0.0872510i | ||||
\(836\) | −19.1063 | + | 8.55192i | −0.660806 | + | 0.295774i | ||||
\(837\) | −48.1187 | − | 14.6614i | −1.66323 | − | 0.506772i | ||||
\(838\) | −0.137478 | − | 0.779677i | −0.00474910 | − | 0.0269335i | ||||
\(839\) | 27.1944 | − | 22.8188i | 0.938856 | − | 0.787793i | −0.0385302 | − | 0.999257i | \(-0.512268\pi\) |
0.977386 | + | 0.211464i | \(0.0678231\pi\) | |||||||
\(840\) | −3.45624 | + | 4.26904i | −0.119252 | + | 0.147296i | ||||
\(841\) | 5.05499 | + | 1.83987i | 0.174310 | + | 0.0634437i | ||||
\(842\) | −14.4380 | − | 12.1149i | −0.497567 | − | 0.417508i | ||||
\(843\) | 43.4230 | + | 31.1435i | 1.49557 | + | 1.07264i | ||||
\(844\) | −10.7493 | + | 6.20610i | −0.370006 | + | 0.213623i | ||||
\(845\) | −39.5439 | + | 19.8493i | −1.36035 | + | 0.682837i | ||||
\(846\) | 3.14228 | + | 1.22494i | 0.108034 | + | 0.0421142i | ||||
\(847\) | 14.8153 | − | 8.55363i | 0.509061 | − | 0.293906i | ||||
\(848\) | −0.152312 | − | 0.0879374i | −0.00523042 | − | 0.00301978i | ||||
\(849\) | 14.5001 | + | 14.8321i | 0.497642 | + | 0.509037i | ||||
\(850\) | −20.0654 | − | 14.9512i | −0.688238 | − | 0.512823i | ||||
\(851\) | 28.3991 | − | 10.3364i | 0.973509 | − | 0.354328i | ||||
\(852\) | −11.5968 | − | 16.9675i | −0.397299 | − | 0.581295i | ||||
\(853\) | −7.64787 | + | 1.34853i | −0.261858 | + | 0.0461727i | −0.303036 | − | 0.952979i | \(-0.598000\pi\) |
0.0411776 | + | 0.999152i | \(0.486889\pi\) | |||||||
\(854\) | −1.00954 | −0.0345456 | ||||||||
\(855\) | −25.1868 | − | 14.8535i | −0.861370 | − | 0.507979i | ||||
\(856\) | 3.25865 | 0.111378 | ||||||||
\(857\) | −4.41642 | + | 0.778735i | −0.150862 | + | 0.0266011i | −0.248569 | − | 0.968614i | \(-0.579960\pi\) |
0.0977070 | + | 0.995215i | \(0.468849\pi\) | |||||||
\(858\) | 26.8753 | + | 39.3217i | 0.917506 | + | 1.34242i | ||||
\(859\) | −30.1189 | + | 10.9624i | −1.02764 | + | 0.374032i | −0.800183 | − | 0.599755i | \(-0.795265\pi\) |
−0.227461 | + | 0.973787i | \(0.573042\pi\) | |||||||
\(860\) | −19.3626 | + | 5.79236i | −0.660259 | + | 0.197518i | ||||
\(861\) | 8.11015 | + | 8.29586i | 0.276393 | + | 0.282722i | ||||
\(862\) | −8.45264 | − | 4.88013i | −0.287898 | − | 0.166218i | ||||
\(863\) | 2.83124 | − | 1.63462i | 0.0963766 | − | 0.0556431i | −0.451037 | − | 0.892505i | \(-0.648946\pi\) |
0.547414 | + | 0.836862i | \(0.315612\pi\) | |||||||
\(864\) | −2.35461 | + | 4.63204i | −0.0801053 | + | 0.157585i | ||||
\(865\) | 4.13456 | + | 8.23690i | 0.140579 | + | 0.280063i | ||||
\(866\) | −16.0306 | + | 9.25527i | −0.544742 | + | 0.314507i | ||||
\(867\) | 11.3251 | + | 8.12251i | 0.384622 | + | 0.275855i | ||||
\(868\) | −10.5174 | − | 8.82514i | −0.356984 | − | 0.299545i | ||||
\(869\) | −47.3450 | − | 17.2322i | −1.60607 | − | 0.584561i | ||||
\(870\) | 14.6296 | + | 11.8442i | 0.495988 | + | 0.401556i | ||||
\(871\) | 52.4181 | − | 43.9840i | 1.77612 | − | 1.49034i | ||||
\(872\) | −2.78107 | − | 15.7722i | −0.0941788 | − | 0.534114i | ||||
\(873\) | 57.6232 | + | 11.5112i | 1.95025 | + | 0.389594i | ||||
\(874\) | 20.7792 | − | 1.49425i | 0.702867 | − | 0.0505439i | ||||
\(875\) | −5.41377 | − | 14.9034i | −0.183019 | − | 0.503826i | ||||
\(876\) | −0.101545 | − | 1.33447i | −0.00343088 | − | 0.0450875i | ||||
\(877\) | −28.2811 | + | 23.7307i | −0.954985 | + | 0.801328i | −0.980130 | − | 0.198356i | \(-0.936440\pi\) |
0.0251450 | + | 0.999684i | \(0.491995\pi\) | |||||||
\(878\) | 16.2618 | − | 5.91880i | 0.548808 | − | 0.199750i | ||||
\(879\) | 1.81426 | + | 0.871140i | 0.0611936 | + | 0.0293828i | ||||
\(880\) | −10.7201 | − | 0.626627i | −0.361373 | − | 0.0211236i | ||||
\(881\) | −2.11328 | − | 1.22011i | −0.0711984 | − | 0.0411064i | 0.463978 | − | 0.885847i | \(-0.346422\pi\) |
−0.535177 | + | 0.844740i | \(0.679755\pi\) | |||||||
\(882\) | −14.1756 | + | 4.79900i | −0.477319 | + | 0.161591i | ||||
\(883\) | 15.4179 | + | 2.71859i | 0.518852 | + | 0.0914877i | 0.426941 | − | 0.904280i | \(-0.359591\pi\) |
0.0919115 | + | 0.995767i | \(0.470702\pi\) | |||||||
\(884\) | −4.97619 | + | 28.2214i | −0.167367 | + | 0.949187i | ||||
\(885\) | 13.6049 | + | 7.53940i | 0.457323 | + | 0.253434i | ||||
\(886\) | −6.42709 | − | 3.71068i | −0.215922 | − | 0.124663i | ||||
\(887\) | −10.1730 | + | 12.1237i | −0.341576 | + | 0.407074i | −0.909298 | − | 0.416146i | \(-0.863380\pi\) |
0.567722 | + | 0.823220i | \(0.307825\pi\) | |||||||
\(888\) | −9.87317 | − | 4.74072i | −0.331322 | − | 0.159088i | ||||
\(889\) | 2.15389 | + | 5.91778i | 0.0722393 | + | 0.198476i | ||||
\(890\) | −0.285998 | + | 1.20559i | −0.00958667 | + | 0.0404116i | ||||
\(891\) | 42.1811 | + | 9.42404i | 1.41312 | + | 0.315717i | ||||
\(892\) | 20.2193 | 0.676993 | ||||||||
\(893\) | −2.87247 | + | 3.97008i | −0.0961236 | + | 0.132854i | ||||
\(894\) | −1.92082 | + | 19.4206i | −0.0642417 | + | 0.649523i | ||||
\(895\) | 18.9901 | − | 20.1199i | 0.634769 | − | 0.672533i | ||||
\(896\) | −1.08642 | + | 0.911616i | −0.0362948 | + | 0.0304549i | ||||
\(897\) | −11.7492 | − | 45.9217i | −0.392296 | − | 1.53328i | ||||
\(898\) | 2.33957 | − | 6.42791i | 0.0780724 | − | 0.214502i | ||||
\(899\) | −30.2428 | + | 36.0420i | −1.00866 | + | 1.20207i | ||||
\(900\) | −7.95151 | − | 12.7190i | −0.265050 | − | 0.423967i | ||||
\(901\) | −0.762267 | + | 0.440095i | −0.0253948 | + | 0.0146617i | ||||
\(902\) | −3.93853 | + | 22.3365i | −0.131139 | + | 0.743724i | ||||
\(903\) | 21.3793 | + | 5.98872i | 0.711457 | + | 0.199292i | ||||
\(904\) | −3.10181 | − | 5.37248i | −0.103165 | − | 0.178686i | ||||
\(905\) | 2.35385 | + | 20.1751i | 0.0782445 | + | 0.670643i | ||||
\(906\) | 24.2874 | − | 23.7437i | 0.806894 | − | 0.788831i | ||||
\(907\) | 23.5544 | + | 8.57310i | 0.782111 | + | 0.284665i | 0.702053 | − | 0.712125i | \(-0.252267\pi\) |
0.0800584 | + | 0.996790i | \(0.474489\pi\) | |||||||
\(908\) | 9.10506 | + | 25.0159i | 0.302162 | + | 0.830183i | ||||
\(909\) | 11.0042 | + | 20.0971i | 0.364986 | + | 0.666578i | ||||
\(910\) | −12.4640 | + | 13.2055i | −0.413177 | + | 0.437758i | ||||
\(911\) | −45.9454 | −1.52224 | −0.761120 | − | 0.648612i | \(-0.775350\pi\) | ||||
−0.761120 | + | 0.648612i | \(0.775350\pi\) | |||||||
\(912\) | −5.65140 | − | 5.00617i | −0.187137 | − | 0.165771i | ||||
\(913\) | − | 10.2281i | − | 0.338502i | ||||||
\(914\) | −0.216321 | − | 1.22682i | −0.00715526 | − | 0.0405795i | ||||
\(915\) | 0.897285 | − | 2.60681i | 0.0296633 | − | 0.0861785i | ||||
\(916\) | 18.8343 | − | 6.85513i | 0.622303 | − | 0.226500i | ||||
\(917\) | −11.9813 | − | 4.36083i | −0.395657 | − | 0.144007i | ||||
\(918\) | 14.1840 | + | 21.7960i | 0.468141 | + | 0.719377i | ||||
\(919\) | 14.6787 | − | 25.4243i | 0.484206 | − | 0.838669i | −0.515630 | − | 0.856812i | \(-0.672442\pi\) |
0.999835 | + | 0.0181424i | \(0.00577523\pi\) | |||||||
\(920\) | 9.81212 | + | 4.23498i | 0.323496 | + | 0.139623i | ||||
\(921\) | −14.5753 | − | 4.08280i | −0.480272 | − | 0.134533i | ||||
\(922\) | −2.12151 | + | 12.0317i | −0.0698681 | + | 0.396241i | ||||
\(923\) | −33.9715 | − | 58.8403i | −1.11818 | − | 1.93675i | ||||
\(924\) | 9.58603 | + | 6.87521i | 0.315357 | + | 0.226178i | ||||
\(925\) | 26.4227 | − | 17.3626i | 0.868772 | − | 0.570878i | ||||
\(926\) | −5.82657 | − | 2.12070i | −0.191473 | − | 0.0696904i | ||||
\(927\) | 41.8609 | − | 6.40783i | 1.37489 | − | 0.210461i | ||||
\(928\) | 3.12401 | + | 3.72305i | 0.102551 | + | 0.122215i | ||||
\(929\) | −6.95259 | + | 1.22593i | −0.228107 | + | 0.0402214i | −0.286533 | − | 0.958070i | \(-0.592503\pi\) |
0.0584262 | + | 0.998292i | \(0.481392\pi\) | |||||||
\(930\) | 32.1361 | − | 19.3140i | 1.05378 | − | 0.633331i | ||||
\(931\) | −1.55968 | − | 21.6890i | −0.0511163 | − | 0.710828i | ||||
\(932\) | −2.49524 | −0.0817342 | ||||||||
\(933\) | −2.29684 | − | 30.1843i | −0.0751953 | − | 0.988191i | ||||
\(934\) | −20.2554 | − | 24.1395i | −0.662778 | − | 0.789868i | ||||
\(935\) | −29.5409 | + | 44.8943i | −0.966091 | + | 1.46820i | ||||
\(936\) | −8.92359 | + | 14.6784i | −0.291677 | + | 0.479780i | ||||
\(937\) | −15.3123 | + | 18.2485i | −0.500231 | + | 0.596152i | −0.955789 | − | 0.294054i | \(-0.904995\pi\) |
0.455558 | + | 0.890206i | \(0.349440\pi\) | |||||||
\(938\) | 8.47398 | − | 14.6774i | 0.276685 | − | 0.479233i | ||||
\(939\) | 7.91243 | + | 17.4822i | 0.258212 | + | 0.570510i | ||||
\(940\) | −2.24664 | + | 1.12771i | −0.0732772 | + | 0.0367819i | ||||
\(941\) | 6.77146 | − | 38.4029i | 0.220743 | − | 1.25190i | −0.649914 | − | 0.760008i | \(-0.725195\pi\) |
0.870657 | − | 0.491890i | \(-0.163694\pi\) | |||||||
\(942\) | −23.0747 | + | 10.4436i | −0.751815 | + | 0.340271i | ||||
\(943\) | 11.2863 | − | 19.5485i | 0.367534 | − | 0.636587i | ||||
\(944\) | 3.07651 | + | 2.58149i | 0.100132 | + | 0.0840205i | ||||
\(945\) | −0.0836682 | + | 16.4780i | −0.00272173 | + | 0.536031i | ||||
\(946\) | 14.8455 | + | 40.7877i | 0.482670 | + | 1.32612i | ||||
\(947\) | 19.4835 | − | 16.3486i | 0.633128 | − | 0.531258i | −0.268771 | − | 0.963204i | \(-0.586617\pi\) |
0.901899 | + | 0.431946i | \(0.142173\pi\) | |||||||
\(948\) | −1.37877 | − | 18.1193i | −0.0447804 | − | 0.588488i | ||||
\(949\) | − | 4.42440i | − | 0.143622i | ||||||
\(950\) | 20.7946 | − | 6.52558i | 0.674667 | − | 0.211718i | ||||
\(951\) | 17.0954 | + | 1.69084i | 0.554357 | + | 0.0548292i | ||||
\(952\) | 1.23250 | + | 6.98986i | 0.0399456 | + | 0.226543i | ||||
\(953\) | −19.1150 | − | 22.7804i | −0.619197 | − | 0.737930i | 0.361735 | − | 0.932281i | \(-0.382184\pi\) |
−0.980932 | + | 0.194351i | \(0.937740\pi\) | |||||||
\(954\) | −0.521549 | + | 0.0798358i | −0.0168858 | + | 0.00258478i | ||||
\(955\) | 48.0754 | − | 14.3818i | 1.55568 | − | 0.465386i | ||||
\(956\) | −9.29859 | + | 11.0816i | −0.300738 | + | 0.358406i | ||||
\(957\) | 23.5606 | − | 32.8503i | 0.761607 | − | 1.06190i | ||||
\(958\) | 2.91659 | + | 5.05168i | 0.0942307 | + | 0.163212i | ||||
\(959\) | 6.48952 | + | 1.14428i | 0.209558 | + | 0.0369507i | ||||
\(960\) | −1.38834 | − | 3.61559i | −0.0448085 | − | 0.116693i | ||||
\(961\) | 31.3586 | + | 54.3147i | 1.01157 | + | 1.75209i | ||||
\(962\) | −31.3568 | − | 18.1038i | −1.01098 | − | 0.583691i | ||||
\(963\) | 7.62913 | − | 6.11273i | 0.245845 | − | 0.196980i | ||||
\(964\) | 4.78848 | − | 13.1562i | 0.154227 | − | 0.423734i | ||||
\(965\) | 18.9125 | + | 12.4446i | 0.608815 | + | 0.400607i | ||||
\(966\) | −6.62465 | − | 9.69265i | −0.213145 | − | 0.311856i | ||||
\(967\) | −41.5722 | + | 7.33030i | −1.33687 | + | 0.235727i | −0.795958 | − | 0.605352i | \(-0.793033\pi\) |
−0.540914 | + | 0.841078i | \(0.681921\pi\) | |||||||
\(968\) | 12.0625i | 0.387702i | ||||||||
\(969\) | −35.8390 | + | 11.9670i | −1.15132 | + | 0.384434i | ||||
\(970\) | −35.1372 | + | 26.1472i | −1.12819 | + | 0.839537i | ||||
\(971\) | 6.03347 | + | 34.2175i | 0.193623 | + | 1.09809i | 0.914366 | + | 0.404889i | \(0.132690\pi\) |
−0.720742 | + | 0.693203i | \(0.756199\pi\) | |||||||
\(972\) | 3.17642 | + | 15.2614i | 0.101884 | + | 0.489510i | ||||
\(973\) | 1.22472 | + | 3.36490i | 0.0392629 | + | 0.107874i | ||||
\(974\) | −1.88455 | + | 5.17777i | −0.0603850 | + | 0.165906i | ||||
\(975\) | −23.0210 | − | 43.9215i | −0.737260 | − | 1.40661i | ||||
\(976\) | 0.355916 | − | 0.616465i | 0.0113926 | − | 0.0197326i | ||||
\(977\) | 28.2801 | − | 16.3275i | 0.904761 | − | 0.522364i | 0.0260191 | − | 0.999661i | \(-0.491717\pi\) |
0.878742 | + | 0.477298i | \(0.158384\pi\) | |||||||
\(978\) | −2.24089 | − | 0.627714i | −0.0716558 | − | 0.0200721i | ||||
\(979\) | 2.62065 | + | 0.462091i | 0.0837563 | + | 0.0147685i | ||||
\(980\) | 4.42040 | − | 10.2417i | 0.141204 | − | 0.327160i | ||||
\(981\) | −36.0973 | − | 31.7090i | −1.15250 | − | 1.01239i | ||||
\(982\) | −13.1374 | − | 11.0236i | −0.419233 | − | 0.351778i | ||||
\(983\) | 6.55421 | − | 18.0075i | 0.209047 | − | 0.574352i | −0.790212 | − | 0.612833i | \(-0.790030\pi\) |
0.999259 | + | 0.0384815i | \(0.0122521\pi\) | |||||||
\(984\) | −7.92506 | + | 2.02766i | −0.252642 | + | 0.0646393i | ||||
\(985\) | −1.71925 | − | 0.407851i | −0.0547799 | − | 0.0129952i | ||||
\(986\) | 23.9535 | − | 4.22365i | 0.762836 | − | 0.134509i | ||||
\(987\) | 2.74811 | + | 0.271804i | 0.0874733 | + | 0.00865163i | ||||
\(988\) | −17.3735 | − | 17.9199i | −0.552726 | − | 0.570107i | ||||
\(989\) | − | 43.1980i | − | 1.37362i | ||||||
\(990\) | −26.2732 | + | 18.6422i | −0.835017 | + | 0.592486i | ||||
\(991\) | 9.41330 | + | 11.2183i | 0.299023 | + | 0.356362i | 0.894546 | − | 0.446977i | \(-0.147499\pi\) |
−0.595522 | + | 0.803339i | \(0.703055\pi\) | |||||||
\(992\) | 9.09695 | − | 3.31102i | 0.288828 | − | 0.105125i | ||||
\(993\) | 2.78649 | + | 1.33797i | 0.0884266 | + | 0.0424591i | ||||
\(994\) | −12.8911 | − | 10.8169i | −0.408880 | − | 0.343091i | ||||
\(995\) | −32.0551 | + | 3.73989i | −1.01621 | + | 0.118562i | ||||
\(996\) | 3.36077 | − | 1.52108i | 0.106490 | − | 0.0481973i | ||||
\(997\) | 43.8794 | + | 7.73712i | 1.38967 | + | 0.245037i | 0.817893 | − | 0.575370i | \(-0.195142\pi\) |
0.571780 | + | 0.820407i | \(0.306253\pi\) | |||||||
\(998\) | 25.9510 | + | 4.57586i | 0.821465 | + | 0.144846i | ||||
\(999\) | −32.0079 | + | 7.42163i | −1.01268 | + | 0.234810i |
(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 | 570.2.bf.a.29.8 | yes | 240 | |
3.2 | odd | 2 | inner | 570.2.bf.a.29.36 | yes | 240 | |
5.4 | even | 2 | inner | 570.2.bf.a.29.33 | yes | 240 | |
15.14 | odd | 2 | inner | 570.2.bf.a.29.5 | ✓ | 240 | |
19.2 | odd | 18 | inner | 570.2.bf.a.59.5 | yes | 240 | |
57.2 | even | 18 | inner | 570.2.bf.a.59.33 | yes | 240 | |
95.59 | odd | 18 | inner | 570.2.bf.a.59.36 | yes | 240 | |
285.59 | even | 18 | inner | 570.2.bf.a.59.8 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bf.a.29.5 | ✓ | 240 | 15.14 | odd | 2 | inner | |
570.2.bf.a.29.8 | yes | 240 | 1.1 | even | 1 | trivial | |
570.2.bf.a.29.33 | yes | 240 | 5.4 | even | 2 | inner | |
570.2.bf.a.29.36 | yes | 240 | 3.2 | odd | 2 | inner | |
570.2.bf.a.59.5 | yes | 240 | 19.2 | odd | 18 | inner | |
570.2.bf.a.59.8 | yes | 240 | 285.59 | even | 18 | inner | |
570.2.bf.a.59.33 | yes | 240 | 57.2 | even | 18 | inner | |
570.2.bf.a.59.36 | yes | 240 | 95.59 | odd | 18 | inner |