Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(25,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.y (of order \(33\), degree \(20\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 121.7 | ||
Character | \(\chi\) | \(=\) | 966.121 |
Dual form | 966.2.y.d.487.7 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{9}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.580057 | + | 0.814576i | 0.410162 | + | 0.575992i | ||||
\(3\) | 0.235759 | + | 0.971812i | 0.136115 | + | 0.561076i | ||||
\(4\) | −0.327068 | + | 0.945001i | −0.163534 | + | 0.472500i | ||||
\(5\) | 0.132422 | + | 2.77988i | 0.0592209 | + | 1.24320i | 0.811499 | + | 0.584354i | \(0.198652\pi\) |
−0.752278 | + | 0.658845i | \(0.771045\pi\) | |||||||
\(6\) | −0.654861 | + | 0.755750i | −0.267346 | + | 0.308533i | ||||
\(7\) | −1.83001 | + | 1.91077i | −0.691680 | + | 0.722204i | ||||
\(8\) | −0.959493 | + | 0.281733i | −0.339232 | + | 0.0996075i | ||||
\(9\) | −0.888835 | + | 0.458227i | −0.296278 | + | 0.152742i | ||||
\(10\) | −2.18761 | + | 1.72035i | −0.691783 | + | 0.544024i | ||||
\(11\) | 1.27899 | − | 1.79609i | 0.385629 | − | 0.541541i | −0.575441 | − | 0.817843i | \(-0.695170\pi\) |
0.961071 | + | 0.276302i | \(0.0891091\pi\) | |||||||
\(12\) | −0.995472 | − | 0.0950560i | −0.287368 | − | 0.0274403i | ||||
\(13\) | 0.255749 | + | 1.77877i | 0.0709319 | + | 0.493342i | 0.994059 | + | 0.108846i | \(0.0347156\pi\) |
−0.923127 | + | 0.384496i | \(0.874375\pi\) | |||||||
\(14\) | −2.61798 | − | 0.382327i | −0.699685 | − | 0.102181i | ||||
\(15\) | −2.67030 | + | 0.784070i | −0.689468 | + | 0.202446i | ||||
\(16\) | −0.786053 | − | 0.618159i | −0.196513 | − | 0.154540i | ||||
\(17\) | −2.43940 | − | 0.470155i | −0.591641 | − | 0.114029i | −0.115362 | − | 0.993324i | \(-0.536803\pi\) |
−0.476279 | + | 0.879294i | \(0.658015\pi\) | |||||||
\(18\) | −0.888835 | − | 0.458227i | −0.209501 | − | 0.108005i | ||||
\(19\) | −1.27972 | + | 0.246645i | −0.293587 | + | 0.0565843i | −0.333918 | − | 0.942602i | \(-0.608371\pi\) |
0.0403310 | + | 0.999186i | \(0.487159\pi\) | |||||||
\(20\) | −2.67030 | − | 0.784070i | −0.597097 | − | 0.175323i | ||||
\(21\) | −2.28835 | − | 1.32795i | −0.499360 | − | 0.289781i | ||||
\(22\) | 2.20494 | 0.470094 | ||||||||
\(23\) | 4.79573 | + | 0.0317644i | 0.999978 | + | 0.00662333i | ||||
\(24\) | −0.500000 | − | 0.866025i | −0.102062 | − | 0.176777i | ||||
\(25\) | −2.73282 | + | 0.260953i | −0.546565 | + | 0.0521906i | ||||
\(26\) | −1.30059 | + | 1.24011i | −0.255068 | + | 0.243206i | ||||
\(27\) | −0.654861 | − | 0.755750i | −0.126028 | − | 0.145444i | ||||
\(28\) | −1.20714 | − | 2.35432i | −0.228129 | − | 0.444924i | ||||
\(29\) | −1.38825 | + | 1.60212i | −0.257791 | + | 0.297506i | −0.869861 | − | 0.493297i | \(-0.835792\pi\) |
0.612070 | + | 0.790803i | \(0.290337\pi\) | |||||||
\(30\) | −2.18761 | − | 1.72035i | −0.399401 | − | 0.314092i | ||||
\(31\) | −2.18796 | − | 2.08621i | −0.392969 | − | 0.374695i | 0.467677 | − | 0.883900i | \(-0.345091\pi\) |
−0.860646 | + | 0.509205i | \(0.829940\pi\) | |||||||
\(32\) | 0.0475819 | − | 0.998867i | 0.00841137 | − | 0.176576i | ||||
\(33\) | 2.04699 | + | 0.819492i | 0.356335 | + | 0.142655i | ||||
\(34\) | −1.03201 | − | 2.25979i | −0.176989 | − | 0.387551i | ||||
\(35\) | −5.55405 | − | 4.83418i | −0.938806 | − | 0.817126i | ||||
\(36\) | −0.142315 | − | 0.989821i | −0.0237191 | − | 0.164970i | ||||
\(37\) | 4.71296 | − | 2.42970i | 0.774805 | − | 0.399440i | −0.0250092 | − | 0.999687i | \(-0.507961\pi\) |
0.799814 | + | 0.600247i | \(0.204931\pi\) | |||||||
\(38\) | −0.943220 | − | 0.899358i | −0.153010 | − | 0.145895i | ||||
\(39\) | −1.66833 | + | 0.667900i | −0.267147 | + | 0.106950i | ||||
\(40\) | −0.910240 | − | 2.62997i | −0.143922 | − | 0.415834i | ||||
\(41\) | −4.17810 | + | 2.68510i | −0.652510 | + | 0.419343i | −0.824583 | − | 0.565741i | \(-0.808590\pi\) |
0.172073 | + | 0.985084i | \(0.444954\pi\) | |||||||
\(42\) | −0.245663 | − | 2.63432i | −0.0379066 | − | 0.406485i | ||||
\(43\) | 7.23912 | + | 2.12560i | 1.10396 | + | 0.324151i | 0.782423 | − | 0.622748i | \(-0.213984\pi\) |
0.321533 | + | 0.946898i | \(0.395802\pi\) | |||||||
\(44\) | 1.27899 | + | 1.79609i | 0.192815 | + | 0.270770i | ||||
\(45\) | −1.39151 | − | 2.41017i | −0.207435 | − | 0.359288i | ||||
\(46\) | 2.75592 | + | 3.92491i | 0.406338 | + | 0.578696i | ||||
\(47\) | 1.45762 | − | 2.52468i | 0.212616 | − | 0.368262i | −0.739916 | − | 0.672699i | \(-0.765135\pi\) |
0.952533 | + | 0.304437i | \(0.0984682\pi\) | |||||||
\(48\) | 0.415415 | − | 0.909632i | 0.0599600 | − | 0.131294i | ||||
\(49\) | −0.302110 | − | 6.99348i | −0.0431585 | − | 0.999068i | ||||
\(50\) | −1.79776 | − | 2.07472i | −0.254241 | − | 0.293410i | ||||
\(51\) | −0.118207 | − | 2.48148i | −0.0165523 | − | 0.347476i | ||||
\(52\) | −1.76459 | − | 0.340096i | −0.244704 | − | 0.0471629i | ||||
\(53\) | −4.62237 | + | 1.85052i | −0.634931 | + | 0.254188i | −0.666722 | − | 0.745306i | \(-0.732303\pi\) |
0.0317907 | + | 0.999495i | \(0.489879\pi\) | |||||||
\(54\) | 0.235759 | − | 0.971812i | 0.0320827 | − | 0.132247i | ||||
\(55\) | 5.16227 | + | 3.31759i | 0.696080 | + | 0.447344i | ||||
\(56\) | 1.21756 | − | 2.34895i | 0.162703 | − | 0.313891i | ||||
\(57\) | −0.541397 | − | 1.18549i | −0.0717098 | − | 0.157023i | ||||
\(58\) | −2.11031 | − | 0.201510i | −0.277097 | − | 0.0264596i | ||||
\(59\) | −8.34314 | + | 6.56111i | −1.08618 | + | 0.854184i | −0.989984 | − | 0.141178i | \(-0.954911\pi\) |
−0.0961994 | + | 0.995362i | \(0.530669\pi\) | |||||||
\(60\) | 0.132422 | − | 2.77988i | 0.0170956 | − | 0.358881i | ||||
\(61\) | −0.690427 | + | 2.84598i | −0.0884001 | + | 0.364390i | −0.998780 | − | 0.0493835i | \(-0.984274\pi\) |
0.910380 | + | 0.413774i | \(0.135790\pi\) | |||||||
\(62\) | 0.430239 | − | 2.99238i | 0.0546405 | − | 0.380033i | ||||
\(63\) | 0.751013 | − | 2.53692i | 0.0946187 | − | 0.319622i | ||||
\(64\) | 0.841254 | − | 0.540641i | 0.105157 | − | 0.0675801i | ||||
\(65\) | −4.91090 | + | 0.946498i | −0.609122 | + | 0.117399i | ||||
\(66\) | 0.519833 | + | 2.14278i | 0.0639870 | + | 0.263758i | ||||
\(67\) | −5.65452 | + | 0.539941i | −0.690809 | + | 0.0659643i | −0.434555 | − | 0.900645i | \(-0.643094\pi\) |
−0.256254 | + | 0.966609i | \(0.582488\pi\) | |||||||
\(68\) | 1.24215 | − | 2.15146i | 0.150632 | − | 0.260903i | ||||
\(69\) | 1.09977 | + | 4.66803i | 0.132396 | + | 0.561965i | ||||
\(70\) | 0.716143 | − | 7.32830i | 0.0855955 | − | 0.875899i | ||||
\(71\) | 0.712461 | − | 1.56007i | 0.0845536 | − | 0.185146i | −0.862632 | − | 0.505831i | \(-0.831186\pi\) |
0.947186 | + | 0.320685i | \(0.103913\pi\) | |||||||
\(72\) | 0.723734 | − | 0.690079i | 0.0852929 | − | 0.0813266i | ||||
\(73\) | 0.0736916 | − | 0.212918i | 0.00862495 | − | 0.0249202i | −0.940606 | − | 0.339500i | \(-0.889742\pi\) |
0.949231 | + | 0.314579i | \(0.101863\pi\) | |||||||
\(74\) | 4.71296 | + | 2.42970i | 0.547870 | + | 0.282447i | ||||
\(75\) | −0.897884 | − | 2.59427i | −0.103679 | − | 0.299560i | ||||
\(76\) | 0.185474 | − | 1.29000i | 0.0212754 | − | 0.147973i | ||||
\(77\) | 1.09135 | + | 5.73072i | 0.124371 | + | 0.653076i | ||||
\(78\) | −1.51178 | − | 0.971565i | −0.171176 | − | 0.110008i | ||||
\(79\) | 14.5980 | + | 5.84417i | 1.64241 | + | 0.657520i | 0.994552 | − | 0.104244i | \(-0.0332424\pi\) |
0.647854 | + | 0.761764i | \(0.275667\pi\) | |||||||
\(80\) | 1.61432 | − | 2.26699i | 0.180486 | − | 0.253457i | ||||
\(81\) | 0.580057 | − | 0.814576i | 0.0644508 | − | 0.0905084i | ||||
\(82\) | −4.61076 | − | 1.84587i | −0.509173 | − | 0.203842i | ||||
\(83\) | 10.1822 | + | 6.54368i | 1.11764 | + | 0.718262i | 0.962944 | − | 0.269700i | \(-0.0869246\pi\) |
0.154694 | + | 0.987963i | \(0.450561\pi\) | |||||||
\(84\) | 2.00336 | − | 1.72817i | 0.218584 | − | 0.188559i | ||||
\(85\) | 0.983945 | − | 6.84349i | 0.106724 | − | 0.742280i | ||||
\(86\) | 2.46764 | + | 7.12978i | 0.266093 | + | 0.768824i | ||||
\(87\) | −1.88425 | − | 0.971399i | −0.202013 | − | 0.104145i | ||||
\(88\) | −0.721164 | + | 2.08367i | −0.0768763 | + | 0.222120i | ||||
\(89\) | −9.26620 | + | 8.83531i | −0.982216 | + | 0.936541i | −0.997992 | − | 0.0633349i | \(-0.979826\pi\) |
0.0157767 | + | 0.999876i | \(0.494978\pi\) | |||||||
\(90\) | 1.15611 | − | 2.53153i | 0.121865 | − | 0.266847i | ||||
\(91\) | −3.86685 | − | 2.76649i | −0.405356 | − | 0.290007i | ||||
\(92\) | −1.59855 | + | 4.52158i | −0.166660 | + | 0.471407i | ||||
\(93\) | 1.51158 | − | 2.61813i | 0.156743 | − | 0.271487i | ||||
\(94\) | 2.90205 | − | 0.277112i | 0.299323 | − | 0.0285819i | ||||
\(95\) | −0.855106 | − | 3.52479i | −0.0877320 | − | 0.361636i | ||||
\(96\) | 0.981929 | − | 0.189251i | 0.100218 | − | 0.0193154i | ||||
\(97\) | 2.25513 | − | 1.44928i | 0.228974 | − | 0.147153i | −0.421124 | − | 0.907003i | \(-0.638364\pi\) |
0.650098 | + | 0.759851i | \(0.274728\pi\) | |||||||
\(98\) | 5.52148 | − | 4.30271i | 0.557753 | − | 0.434639i | ||||
\(99\) | −0.313795 | + | 2.18249i | −0.0315376 | + | 0.219349i | ||||
\(100\) | 0.647218 | − | 2.66787i | 0.0647218 | − | 0.266787i | ||||
\(101\) | −0.386463 | + | 8.11285i | −0.0384545 | + | 0.807259i | 0.894457 | + | 0.447154i | \(0.147562\pi\) |
−0.932912 | + | 0.360105i | \(0.882741\pi\) | |||||||
\(102\) | 1.95279 | − | 1.53569i | 0.193355 | − | 0.152056i | ||||
\(103\) | 4.05608 | + | 0.387309i | 0.399658 | + | 0.0381627i | 0.292950 | − | 0.956128i | \(-0.405363\pi\) |
0.106708 | + | 0.994290i | \(0.465969\pi\) | |||||||
\(104\) | −0.746526 | − | 1.63466i | −0.0732029 | − | 0.160292i | ||||
\(105\) | 3.38850 | − | 6.53719i | 0.330683 | − | 0.637964i | ||||
\(106\) | −4.18863 | − | 2.69187i | −0.406835 | − | 0.261457i | ||||
\(107\) | −2.08648 | + | 8.60059i | −0.201708 | + | 0.831451i | 0.777548 | + | 0.628823i | \(0.216463\pi\) |
−0.979256 | + | 0.202627i | \(0.935052\pi\) | |||||||
\(108\) | 0.928368 | − | 0.371662i | 0.0893322 | − | 0.0357632i | ||||
\(109\) | −13.4790 | − | 2.59787i | −1.29106 | − | 0.248831i | −0.502920 | − | 0.864333i | \(-0.667741\pi\) |
−0.788135 | + | 0.615502i | \(0.788953\pi\) | |||||||
\(110\) | 0.291982 | + | 6.12945i | 0.0278394 | + | 0.584420i | ||||
\(111\) | 3.47233 | + | 4.00728i | 0.329579 | + | 0.380354i | ||||
\(112\) | 2.61965 | − | 0.370731i | 0.247534 | − | 0.0350308i | ||||
\(113\) | −2.77573 | + | 6.07800i | −0.261119 | + | 0.571770i | −0.994099 | − | 0.108480i | \(-0.965402\pi\) |
0.732980 | + | 0.680250i | \(0.238129\pi\) | |||||||
\(114\) | 0.651634 | − | 1.12866i | 0.0610311 | − | 0.105709i | ||||
\(115\) | 0.546758 | + | 13.3357i | 0.0509854 | + | 1.24356i | ||||
\(116\) | −1.05995 | − | 1.83590i | −0.0984143 | − | 0.170459i | ||||
\(117\) | −1.04240 | − | 1.46384i | −0.0963697 | − | 0.135332i | ||||
\(118\) | −10.1840 | − | 2.99030i | −0.937515 | − | 0.275279i | ||||
\(119\) | 5.36249 | − | 3.80075i | 0.491579 | − | 0.348414i | ||||
\(120\) | 2.34123 | − | 1.50462i | 0.213724 | − | 0.137352i | ||||
\(121\) | 2.00763 | + | 5.80066i | 0.182512 | + | 0.527333i | ||||
\(122\) | −2.71875 | + | 1.08842i | −0.246144 | + | 0.0985413i | ||||
\(123\) | −3.59444 | − | 3.42729i | −0.324100 | − | 0.309029i | ||||
\(124\) | 2.68709 | − | 1.38529i | 0.241307 | − | 0.124403i | ||||
\(125\) | 0.893029 | + | 6.21116i | 0.0798750 | + | 0.555543i | ||||
\(126\) | 2.50215 | − | 0.859803i | 0.222909 | − | 0.0765973i | ||||
\(127\) | −6.89019 | − | 15.0874i | −0.611405 | − | 1.33879i | −0.921609 | − | 0.388120i | \(-0.873125\pi\) |
0.310204 | − | 0.950670i | \(-0.399603\pi\) | |||||||
\(128\) | 0.928368 | + | 0.371662i | 0.0820569 | + | 0.0328506i | ||||
\(129\) | −0.358993 | + | 7.53619i | −0.0316076 | + | 0.663525i | ||||
\(130\) | −3.61959 | − | 3.45128i | −0.317459 | − | 0.302697i | ||||
\(131\) | 2.97127 | + | 2.33664i | 0.259601 | + | 0.204153i | 0.739474 | − | 0.673186i | \(-0.235075\pi\) |
−0.479872 | + | 0.877338i | \(0.659317\pi\) | |||||||
\(132\) | −1.44393 | + | 1.66638i | −0.125678 | + | 0.145040i | ||||
\(133\) | 1.87061 | − | 2.89661i | 0.162203 | − | 0.251168i | ||||
\(134\) | −3.71976 | − | 4.29284i | −0.321339 | − | 0.370845i | ||||
\(135\) | 2.01417 | − | 1.92051i | 0.173352 | − | 0.165291i | ||||
\(136\) | 2.47304 | − | 0.236147i | 0.212062 | − | 0.0202494i | ||||
\(137\) | −9.35722 | − | 16.2072i | −0.799441 | − | 1.38467i | −0.919981 | − | 0.391964i | \(-0.871796\pi\) |
0.120540 | − | 0.992708i | \(-0.461537\pi\) | |||||||
\(138\) | −3.16454 | + | 3.60357i | −0.269383 | + | 0.306756i | ||||
\(139\) | 2.99970 | 0.254432 | 0.127216 | − | 0.991875i | \(-0.459396\pi\) | ||||
0.127216 | + | 0.991875i | \(0.459396\pi\) | |||||||
\(140\) | 6.38486 | − | 3.66748i | 0.539619 | − | 0.309958i | ||||
\(141\) | 2.79716 | + | 0.821321i | 0.235563 | + | 0.0691677i | ||||
\(142\) | 1.68406 | − | 0.324577i | 0.141324 | − | 0.0272379i | ||||
\(143\) | 3.52193 | + | 1.81568i | 0.294518 | + | 0.151835i | ||||
\(144\) | 0.981929 | + | 0.189251i | 0.0818274 | + | 0.0157709i | ||||
\(145\) | −4.63753 | − | 3.64700i | −0.385126 | − | 0.302867i | ||||
\(146\) | 0.216183 | − | 0.0634771i | 0.0178915 | − | 0.00525340i | ||||
\(147\) | 6.72512 | − | 1.94237i | 0.554678 | − | 0.160204i | ||||
\(148\) | 0.754609 | + | 5.24842i | 0.0620285 | + | 0.431418i | ||||
\(149\) | 16.7508 | + | 1.59951i | 1.37228 | + | 0.131037i | 0.755008 | − | 0.655715i | \(-0.227633\pi\) |
0.617269 | + | 0.786752i | \(0.288239\pi\) | |||||||
\(150\) | 1.59240 | − | 2.23622i | 0.130019 | − | 0.182586i | ||||
\(151\) | −0.931178 | + | 0.732287i | −0.0757782 | + | 0.0595926i | −0.655330 | − | 0.755343i | \(-0.727470\pi\) |
0.579551 | + | 0.814936i | \(0.303228\pi\) | |||||||
\(152\) | 1.15839 | − | 0.597192i | 0.0939579 | − | 0.0484387i | ||||
\(153\) | 2.38366 | − | 0.699906i | 0.192708 | − | 0.0565840i | ||||
\(154\) | −4.03506 | + | 4.21313i | −0.325154 | + | 0.339504i | ||||
\(155\) | 5.50969 | − | 6.35852i | 0.442549 | − | 0.510728i | ||||
\(156\) | −0.0855076 | − | 1.79503i | −0.00684609 | − | 0.143717i | ||||
\(157\) | 3.79801 | − | 10.9736i | 0.303114 | − | 0.875791i | −0.685864 | − | 0.727730i | \(-0.740576\pi\) |
0.988978 | − | 0.148061i | \(-0.0473033\pi\) | |||||||
\(158\) | 3.70717 | + | 15.2811i | 0.294926 | + | 1.21570i | ||||
\(159\) | −2.88812 | − | 4.05580i | −0.229043 | − | 0.321646i | ||||
\(160\) | 2.78303 | 0.220018 | ||||||||
\(161\) | −8.83693 | + | 9.10542i | −0.696448 | + | 0.717607i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 9.06557 | + | 12.7308i | 0.710070 | + | 0.997154i | 0.999205 | + | 0.0398658i | \(0.0126930\pi\) |
−0.289135 | + | 0.957288i | \(0.593368\pi\) | |||||||
\(164\) | −1.17090 | − | 4.82652i | −0.0914321 | − | 0.376888i | ||||
\(165\) | −2.00702 | + | 5.79890i | −0.156246 | + | 0.451444i | ||||
\(166\) | 0.575911 | + | 12.0899i | 0.0446993 | + | 0.938355i | ||||
\(167\) | 1.36390 | − | 1.57403i | 0.105542 | − | 0.121802i | −0.700521 | − | 0.713632i | \(-0.747049\pi\) |
0.806063 | + | 0.591830i | \(0.201594\pi\) | |||||||
\(168\) | 2.56978 | + | 0.629450i | 0.198263 | + | 0.0485632i | ||||
\(169\) | 9.37479 | − | 2.75269i | 0.721138 | − | 0.211745i | ||||
\(170\) | 6.14528 | − | 3.16811i | 0.471322 | − | 0.242983i | ||||
\(171\) | 1.02444 | − | 0.805627i | 0.0783407 | − | 0.0616078i | ||||
\(172\) | −4.37638 | + | 6.14576i | −0.333696 | + | 0.468610i | ||||
\(173\) | −2.14732 | − | 0.205044i | −0.163257 | − | 0.0155892i | 0.0131072 | − | 0.999914i | \(-0.495828\pi\) |
−0.176365 | + | 0.984325i | \(0.556434\pi\) | |||||||
\(174\) | −0.301695 | − | 2.09833i | −0.0228714 | − | 0.159074i | ||||
\(175\) | 4.50248 | − | 5.69935i | 0.340355 | − | 0.430830i | ||||
\(176\) | −2.11562 | + | 0.621202i | −0.159471 | + | 0.0468249i | ||||
\(177\) | −8.34314 | − | 6.56111i | −0.627108 | − | 0.493164i | ||||
\(178\) | −12.5720 | − | 2.42305i | −0.942308 | − | 0.181615i | ||||
\(179\) | 8.21203 | + | 4.23359i | 0.613796 | + | 0.316434i | 0.736943 | − | 0.675955i | \(-0.236269\pi\) |
−0.123148 | + | 0.992388i | \(0.539299\pi\) | |||||||
\(180\) | 2.73274 | − | 0.526692i | 0.203686 | − | 0.0392573i | ||||
\(181\) | 21.5883 | + | 6.33889i | 1.60464 | + | 0.471166i | 0.956834 | − | 0.290635i | \(-0.0938667\pi\) |
0.647810 | + | 0.761802i | \(0.275685\pi\) | |||||||
\(182\) | 0.0105265 | − | 4.75457i | 0.000780278 | − | 0.352432i | ||||
\(183\) | −2.92853 | −0.216483 | ||||||||
\(184\) | −4.61041 | + | 1.32063i | −0.339884 | + | 0.0973585i | ||||
\(185\) | 7.37836 | + | 12.7797i | 0.542468 | + | 0.939582i | ||||
\(186\) | 3.00946 | − | 0.287369i | 0.220665 | − | 0.0210709i | ||||
\(187\) | −3.96440 | + | 3.78005i | −0.289906 | + | 0.276425i | ||||
\(188\) | 1.90908 | + | 2.20320i | 0.139234 | + | 0.160685i | ||||
\(189\) | 2.64247 | + | 0.131741i | 0.192211 | + | 0.00958272i | ||||
\(190\) | 2.37520 | − | 2.74113i | 0.172315 | − | 0.198862i | ||||
\(191\) | 8.46475 | + | 6.65675i | 0.612488 | + | 0.481666i | 0.875559 | − | 0.483111i | \(-0.160493\pi\) |
−0.263072 | + | 0.964776i | \(0.584736\pi\) | |||||||
\(192\) | 0.723734 | + | 0.690079i | 0.0522310 | + | 0.0498022i | ||||
\(193\) | 0.171537 | − | 3.60100i | 0.0123475 | − | 0.259206i | −0.984250 | − | 0.176783i | \(-0.943431\pi\) |
0.996597 | − | 0.0824232i | \(-0.0262659\pi\) | |||||||
\(194\) | 2.48866 | + | 0.996308i | 0.178675 | + | 0.0715307i | ||||
\(195\) | −2.07761 | − | 4.54932i | −0.148780 | − | 0.325784i | ||||
\(196\) | 6.70765 | + | 2.00185i | 0.479118 | + | 0.142989i | ||||
\(197\) | −1.40352 | − | 9.76173i | −0.0999970 | − | 0.695494i | −0.976723 | − | 0.214504i | \(-0.931186\pi\) |
0.876726 | − | 0.480990i | \(-0.159723\pi\) | |||||||
\(198\) | −1.95982 | + | 1.01036i | −0.139279 | + | 0.0718032i | ||||
\(199\) | 18.9961 | + | 18.1127i | 1.34660 | + | 1.28398i | 0.926399 | + | 0.376543i | \(0.122887\pi\) |
0.420197 | + | 0.907433i | \(0.361961\pi\) | |||||||
\(200\) | 2.54861 | − | 1.02031i | 0.180214 | − | 0.0721466i | ||||
\(201\) | −1.85782 | − | 5.36783i | −0.131041 | − | 0.378617i | ||||
\(202\) | −6.83270 | + | 4.39111i | −0.480747 | + | 0.308958i | ||||
\(203\) | −0.520783 | − | 5.58452i | −0.0365518 | − | 0.391957i | ||||
\(204\) | 2.38366 | + | 0.699906i | 0.166890 | + | 0.0490032i | ||||
\(205\) | −8.01753 | − | 11.2590i | −0.559969 | − | 0.786366i | ||||
\(206\) | 2.03727 | + | 3.52865i | 0.141943 | + | 0.245853i | ||||
\(207\) | −4.27717 | + | 2.16930i | −0.297284 | + | 0.150776i | ||||
\(208\) | 0.898531 | − | 1.55630i | 0.0623019 | − | 0.107910i | ||||
\(209\) | −1.19375 | + | 2.61394i | −0.0825731 | + | 0.180810i | ||||
\(210\) | 7.29056 | − | 1.03175i | 0.503096 | − | 0.0711978i | ||||
\(211\) | −15.5592 | − | 17.9563i | −1.07114 | − | 1.23616i | −0.970465 | − | 0.241242i | \(-0.922445\pi\) |
−0.100675 | − | 0.994919i | \(-0.532100\pi\) | |||||||
\(212\) | −0.236912 | − | 4.97339i | −0.0162712 | − | 0.341574i | ||||
\(213\) | 1.68406 | + | 0.324577i | 0.115390 | + | 0.0222396i | ||||
\(214\) | −8.21612 | + | 3.28924i | −0.561642 | + | 0.224848i | ||||
\(215\) | −4.95028 | + | 20.4053i | −0.337607 | + | 1.39163i | ||||
\(216\) | 0.841254 | + | 0.540641i | 0.0572401 | + | 0.0367859i | ||||
\(217\) | 7.99027 | − | 0.362895i | 0.542415 | − | 0.0246349i | ||||
\(218\) | −5.70243 | − | 12.4866i | −0.386218 | − | 0.845699i | ||||
\(219\) | 0.224290 | + | 0.0214171i | 0.0151561 | + | 0.00144723i | ||||
\(220\) | −4.82354 | + | 3.79327i | −0.325203 | + | 0.255742i | ||||
\(221\) | 0.212426 | − | 4.45937i | 0.0142893 | − | 0.299970i | ||||
\(222\) | −1.25009 | + | 5.15293i | −0.0839003 | + | 0.345842i | ||||
\(223\) | 1.92954 | − | 13.4203i | 0.129212 | − | 0.898687i | −0.817345 | − | 0.576149i | \(-0.804555\pi\) |
0.946556 | − | 0.322538i | \(-0.104536\pi\) | |||||||
\(224\) | 1.82153 | + | 1.91886i | 0.121706 | + | 0.128209i | ||||
\(225\) | 2.30945 | − | 1.48420i | 0.153964 | − | 0.0989464i | ||||
\(226\) | −6.56107 | + | 1.26454i | −0.436436 | + | 0.0841161i | ||||
\(227\) | 5.00254 | + | 20.6207i | 0.332030 | + | 1.36865i | 0.856029 | + | 0.516928i | \(0.172924\pi\) |
−0.523999 | + | 0.851719i | \(0.675560\pi\) | |||||||
\(228\) | 1.29737 | − | 0.123884i | 0.0859202 | − | 0.00820439i | ||||
\(229\) | 2.47288 | − | 4.28316i | 0.163413 | − | 0.283039i | −0.772678 | − | 0.634798i | \(-0.781083\pi\) |
0.936090 | + | 0.351759i | \(0.114416\pi\) | |||||||
\(230\) | −10.5458 | + | 8.18086i | −0.695371 | + | 0.539430i | ||||
\(231\) | −5.31188 | + | 2.41166i | −0.349496 | + | 0.158675i | ||||
\(232\) | 0.880642 | − | 1.92834i | 0.0578170 | − | 0.126602i | ||||
\(233\) | −13.2941 | + | 12.6759i | −0.870925 | + | 0.830426i | −0.986650 | − | 0.162856i | \(-0.947929\pi\) |
0.115725 | + | 0.993281i | \(0.463081\pi\) | |||||||
\(234\) | 0.587761 | − | 1.69822i | 0.0384232 | − | 0.111016i | ||||
\(235\) | 7.21132 | + | 3.71769i | 0.470415 | + | 0.242516i | ||||
\(236\) | −3.47149 | − | 10.0302i | −0.225974 | − | 0.652910i | ||||
\(237\) | −2.23781 | + | 15.5643i | −0.145362 | + | 1.01101i | ||||
\(238\) | 6.20655 | + | 2.16351i | 0.402311 | + | 0.140239i | ||||
\(239\) | 9.16120 | + | 5.88755i | 0.592589 | + | 0.380834i | 0.802292 | − | 0.596931i | \(-0.203614\pi\) |
−0.209704 | + | 0.977765i | \(0.567250\pi\) | |||||||
\(240\) | 2.58368 | + | 1.03435i | 0.166776 | + | 0.0667668i | ||||
\(241\) | 12.9568 | − | 18.1953i | 0.834621 | − | 1.17206i | −0.148465 | − | 0.988918i | \(-0.547433\pi\) |
0.983086 | − | 0.183143i | \(-0.0586272\pi\) | |||||||
\(242\) | −3.56054 | + | 5.00008i | −0.228880 | + | 0.321417i | ||||
\(243\) | 0.928368 | + | 0.371662i | 0.0595548 | + | 0.0238422i | ||||
\(244\) | −2.46364 | − | 1.58328i | −0.157718 | − | 0.101359i | ||||
\(245\) | 19.4010 | − | 1.76592i | 1.23948 | − | 0.112820i | ||||
\(246\) | 0.706810 | − | 4.91597i | 0.0450645 | − | 0.313431i | ||||
\(247\) | −0.766011 | − | 2.21324i | −0.0487401 | − | 0.140825i | ||||
\(248\) | 2.68709 | + | 1.38529i | 0.170630 | + | 0.0879659i | ||||
\(249\) | −3.95869 | + | 11.4379i | −0.250872 | + | 0.724846i | ||||
\(250\) | −4.54145 | + | 4.33026i | −0.287227 | + | 0.273870i | ||||
\(251\) | −4.19901 | + | 9.19455i | −0.265039 | + | 0.580355i | −0.994626 | − | 0.103533i | \(-0.966985\pi\) |
0.729587 | + | 0.683888i | \(0.239712\pi\) | |||||||
\(252\) | 2.15176 | + | 1.53945i | 0.135548 | + | 0.0969765i | ||||
\(253\) | 6.19073 | − | 8.57292i | 0.389208 | − | 0.538975i | ||||
\(254\) | 8.29313 | − | 14.3641i | 0.520358 | − | 0.901286i | ||||
\(255\) | 6.88255 | − | 0.657204i | 0.431002 | − | 0.0411557i | ||||
\(256\) | 0.235759 | + | 0.971812i | 0.0147349 | + | 0.0607382i | ||||
\(257\) | −16.1737 | + | 3.11723i | −1.00889 | + | 0.194448i | −0.666814 | − | 0.745224i | \(-0.732342\pi\) |
−0.342077 | + | 0.939672i | \(0.611130\pi\) | |||||||
\(258\) | −6.34704 | + | 4.07899i | −0.395149 | + | 0.253947i | ||||
\(259\) | −3.98217 | + | 13.4518i | −0.247440 | + | 0.835852i | ||||
\(260\) | 0.711756 | − | 4.95037i | 0.0441412 | − | 0.307009i | ||||
\(261\) | 0.499788 | − | 2.06015i | 0.0309361 | − | 0.127520i | ||||
\(262\) | −0.179859 | + | 3.77571i | −0.0111117 | + | 0.233264i | ||||
\(263\) | 9.54439 | − | 7.50579i | 0.588532 | − | 0.462827i | −0.278943 | − | 0.960308i | \(-0.589984\pi\) |
0.867475 | + | 0.497481i | \(0.165742\pi\) | |||||||
\(264\) | −2.19495 | − | 0.209592i | −0.135090 | − | 0.0128995i | ||||
\(265\) | −5.75632 | − | 12.6046i | −0.353608 | − | 0.774293i | ||||
\(266\) | 3.44457 | − | 0.156443i | 0.211200 | − | 0.00959211i | ||||
\(267\) | −10.7708 | − | 6.92200i | −0.659165 | − | 0.423620i | ||||
\(268\) | 1.33917 | − | 5.52012i | 0.0818026 | − | 0.337195i | ||||
\(269\) | −6.18463 | + | 2.47595i | −0.377083 | + | 0.150961i | −0.552459 | − | 0.833540i | \(-0.686310\pi\) |
0.175375 | + | 0.984502i | \(0.443886\pi\) | |||||||
\(270\) | 2.73274 | + | 0.526692i | 0.166309 | + | 0.0320534i | ||||
\(271\) | 0.589094 | + | 12.3666i | 0.0357849 | + | 0.751218i | 0.943448 | + | 0.331519i | \(0.107561\pi\) |
−0.907664 | + | 0.419699i | \(0.862136\pi\) | |||||||
\(272\) | 1.62687 | + | 1.87750i | 0.0986432 | + | 0.113840i | ||||
\(273\) | 1.77687 | − | 4.41008i | 0.107541 | − | 0.266910i | ||||
\(274\) | 7.77426 | − | 17.0232i | 0.469660 | − | 1.02841i | ||||
\(275\) | −3.02655 | + | 5.24214i | −0.182508 | + | 0.316113i | ||||
\(276\) | −4.77099 | − | 0.487483i | −0.287180 | − | 0.0293430i | ||||
\(277\) | 7.37399 | + | 12.7721i | 0.443060 | + | 0.767403i | 0.997915 | − | 0.0645447i | \(-0.0205595\pi\) |
−0.554855 | + | 0.831947i | \(0.687226\pi\) | |||||||
\(278\) | 1.74000 | + | 2.44349i | 0.104358 | + | 0.146551i | ||||
\(279\) | 2.90069 | + | 0.851721i | 0.173660 | + | 0.0509912i | ||||
\(280\) | 6.69102 | + | 3.07361i | 0.399865 | + | 0.183683i | ||||
\(281\) | −12.2644 | + | 7.88188i | −0.731635 | + | 0.470193i | −0.852667 | − | 0.522455i | \(-0.825016\pi\) |
0.121031 | + | 0.992649i | \(0.461380\pi\) | |||||||
\(282\) | 0.953485 | + | 2.75491i | 0.0567792 | + | 0.164053i | ||||
\(283\) | 12.4630 | − | 4.98943i | 0.740848 | − | 0.296591i | 0.0296285 | − | 0.999561i | \(-0.490568\pi\) |
0.711219 | + | 0.702970i | \(0.248143\pi\) | |||||||
\(284\) | 1.24125 | + | 1.18353i | 0.0736544 | + | 0.0702293i | ||||
\(285\) | 3.22384 | − | 1.66200i | 0.190964 | − | 0.0984486i | ||||
\(286\) | 0.563909 | + | 3.92207i | 0.0333446 | + | 0.231917i | ||||
\(287\) | 2.51536 | − | 12.8972i | 0.148477 | − | 0.761297i | ||||
\(288\) | 0.415415 | + | 0.909632i | 0.0244786 | + | 0.0536006i | ||||
\(289\) | −10.0526 | − | 4.02447i | −0.591332 | − | 0.236733i | ||||
\(290\) | 0.280722 | − | 5.89309i | 0.0164846 | − | 0.346054i | ||||
\(291\) | 1.94010 | + | 1.84988i | 0.113731 | + | 0.108442i | ||||
\(292\) | 0.177106 | + | 0.139277i | 0.0103643 | + | 0.00815059i | ||||
\(293\) | −5.83169 | + | 6.73012i | −0.340691 | + | 0.393178i | −0.900078 | − | 0.435728i | \(-0.856491\pi\) |
0.559388 | + | 0.828906i | \(0.311036\pi\) | |||||||
\(294\) | 5.48316 | + | 4.35143i | 0.319784 | + | 0.253781i | ||||
\(295\) | −19.3439 | − | 22.3241i | −1.12625 | − | 1.29976i | ||||
\(296\) | −3.83752 | + | 3.65907i | −0.223052 | + | 0.212679i | ||||
\(297\) | −2.19495 | + | 0.209592i | −0.127364 | + | 0.0121618i | ||||
\(298\) | 8.41349 | + | 14.5726i | 0.487380 | + | 0.844167i | ||||
\(299\) | 1.17000 | + | 8.53862i | 0.0676628 | + | 0.493801i | ||||
\(300\) | 2.74525 | 0.158497 | ||||||||
\(301\) | −17.3092 | + | 9.94245i | −0.997687 | + | 0.573073i | ||||
\(302\) | −1.13664 | − | 0.333747i | −0.0654063 | − | 0.0192050i | ||||
\(303\) | −7.97528 | + | 1.53711i | −0.458168 | + | 0.0883046i | ||||
\(304\) | 1.15839 | + | 0.597192i | 0.0664383 | + | 0.0342513i | ||||
\(305\) | −8.00290 | − | 1.54243i | −0.458245 | − | 0.0883194i | ||||
\(306\) | 1.95279 | + | 1.53569i | 0.111633 | + | 0.0877894i | ||||
\(307\) | 5.99420 | − | 1.76006i | 0.342107 | − | 0.100452i | −0.106166 | − | 0.994348i | \(-0.533857\pi\) |
0.448273 | + | 0.893897i | \(0.352039\pi\) | |||||||
\(308\) | −5.77248 | − | 0.843006i | −0.328918 | − | 0.0480347i | ||||
\(309\) | 0.579866 | + | 4.03306i | 0.0329874 | + | 0.229433i | ||||
\(310\) | 8.37543 | + | 0.799756i | 0.475692 | + | 0.0454231i | ||||
\(311\) | 0.477656 | − | 0.670774i | 0.0270854 | − | 0.0380361i | −0.800811 | − | 0.598917i | \(-0.795598\pi\) |
0.827897 | + | 0.560881i | \(0.189537\pi\) | |||||||
\(312\) | 1.41259 | − | 1.11087i | 0.0799719 | − | 0.0628906i | ||||
\(313\) | −7.39964 | + | 3.81478i | −0.418252 | + | 0.215624i | −0.654489 | − | 0.756071i | \(-0.727116\pi\) |
0.236237 | + | 0.971696i | \(0.424086\pi\) | |||||||
\(314\) | 11.1419 | − | 3.27156i | 0.628775 | − | 0.184625i | ||||
\(315\) | 7.15179 | + | 1.75178i | 0.402957 | + | 0.0987016i | ||||
\(316\) | −10.2973 | + | 11.8837i | −0.579268 | + | 0.668511i | ||||
\(317\) | −0.767988 | − | 16.1221i | −0.0431345 | − | 0.905505i | −0.911933 | − | 0.410339i | \(-0.865410\pi\) |
0.868799 | − | 0.495166i | \(-0.164893\pi\) | |||||||
\(318\) | 1.62848 | − | 4.70519i | 0.0913207 | − | 0.263854i | ||||
\(319\) | 1.10200 | + | 4.54250i | 0.0617001 | + | 0.254331i | ||||
\(320\) | 1.61432 | + | 2.26699i | 0.0902430 | + | 0.126729i | ||||
\(321\) | −8.85006 | −0.493962 | ||||||||
\(322\) | −12.5430 | − | 1.91669i | −0.698993 | − | 0.106813i | ||||
\(323\) | 3.23770 | 0.180150 | ||||||||
\(324\) | 0.580057 | + | 0.814576i | 0.0322254 | + | 0.0452542i | ||||
\(325\) | −1.16309 | − | 4.79433i | −0.0645167 | − | 0.265941i | ||||
\(326\) | −5.11167 | + | 14.7692i | −0.283109 | + | 0.817990i | ||||
\(327\) | −0.653161 | − | 13.7115i | −0.0361199 | − | 0.758249i | ||||
\(328\) | 3.25238 | − | 3.75345i | 0.179583 | − | 0.207249i | ||||
\(329\) | 2.15662 | + | 7.40538i | 0.118898 | + | 0.408272i | ||||
\(330\) | −5.88783 | + | 1.72882i | −0.324115 | + | 0.0951686i | ||||
\(331\) | 15.3328 | − | 7.90461i | 0.842768 | − | 0.434477i | 0.0179250 | − | 0.999839i | \(-0.494294\pi\) |
0.824843 | + | 0.565362i | \(0.191264\pi\) | |||||||
\(332\) | −9.51404 | + | 7.48193i | −0.522151 | + | 0.410624i | ||||
\(333\) | −3.07569 | + | 4.31920i | −0.168547 | + | 0.236691i | ||||
\(334\) | 2.07331 | + | 0.197977i | 0.113446 | + | 0.0108328i | ||||
\(335\) | −2.24975 | − | 15.6474i | −0.122917 | − | 0.854907i | ||||
\(336\) | 0.977886 | + | 2.45840i | 0.0533481 | + | 0.134117i | ||||
\(337\) | 11.6941 | − | 3.43369i | 0.637016 | − | 0.187045i | 0.0527510 | − | 0.998608i | \(-0.483201\pi\) |
0.584265 | + | 0.811563i | \(0.301383\pi\) | |||||||
\(338\) | 7.68019 | + | 6.03976i | 0.417747 | + | 0.328520i | ||||
\(339\) | −6.56107 | − | 1.26454i | −0.356349 | − | 0.0686805i | ||||
\(340\) | 6.14528 | + | 3.16811i | 0.333275 | + | 0.171815i | ||||
\(341\) | −6.54540 | + | 1.26152i | −0.354453 | + | 0.0683152i | ||||
\(342\) | 1.25048 | + | 0.367173i | 0.0676180 | + | 0.0198544i | ||||
\(343\) | 13.9158 | + | 12.2209i | 0.751383 | + | 0.659866i | ||||
\(344\) | −7.54474 | −0.406785 | ||||||||
\(345\) | −12.8309 | + | 3.67536i | −0.690794 | + | 0.197875i | ||||
\(346\) | −1.07854 | − | 1.86809i | −0.0579828 | − | 0.100429i | ||||
\(347\) | 27.5273 | − | 2.62854i | 1.47774 | − | 0.141107i | 0.675169 | − | 0.737663i | \(-0.264071\pi\) |
0.802572 | + | 0.596556i | \(0.203464\pi\) | |||||||
\(348\) | 1.53425 | − | 1.46290i | 0.0822445 | − | 0.0784199i | ||||
\(349\) | 0.914751 | + | 1.05568i | 0.0489655 | + | 0.0565092i | 0.779704 | − | 0.626148i | \(-0.215370\pi\) |
−0.730738 | + | 0.682658i | \(0.760824\pi\) | |||||||
\(350\) | 7.25425 | + | 0.361661i | 0.387756 | + | 0.0193316i | ||||
\(351\) | 1.17683 | − | 1.35813i | 0.0628143 | − | 0.0724915i | ||||
\(352\) | −1.73320 | − | 1.36300i | −0.0923797 | − | 0.0726482i | ||||
\(353\) | −6.67941 | − | 6.36881i | −0.355509 | − | 0.338977i | 0.491187 | − | 0.871054i | \(-0.336563\pi\) |
−0.846696 | + | 0.532077i | \(0.821412\pi\) | |||||||
\(354\) | 0.505033 | − | 10.6019i | 0.0268422 | − | 0.563487i | ||||
\(355\) | 4.43115 | + | 1.77397i | 0.235181 | + | 0.0941524i | ||||
\(356\) | −5.31869 | − | 11.6463i | −0.281890 | − | 0.617254i | ||||
\(357\) | 4.95786 | + | 4.31527i | 0.262398 | + | 0.228388i | ||||
\(358\) | 1.31486 | + | 9.14504i | 0.0694924 | + | 0.483331i | ||||
\(359\) | 26.7886 | − | 13.8105i | 1.41385 | − | 0.728889i | 0.429161 | − | 0.903228i | \(-0.358809\pi\) |
0.984686 | + | 0.174339i | \(0.0557789\pi\) | |||||||
\(360\) | 2.01417 | + | 1.92051i | 0.106156 | + | 0.101220i | ||||
\(361\) | −16.0621 | + | 6.43031i | −0.845376 | + | 0.338438i | ||||
\(362\) | 7.35892 | + | 21.2622i | 0.386776 | + | 1.11752i | ||||
\(363\) | −5.16383 | + | 3.31859i | −0.271031 | + | 0.174181i | ||||
\(364\) | 3.87906 | − | 2.74934i | 0.203318 | − | 0.144105i | ||||
\(365\) | 0.601644 | + | 0.176659i | 0.0314915 | + | 0.00924674i | ||||
\(366\) | −1.69871 | − | 2.38551i | −0.0887932 | − | 0.124693i | ||||
\(367\) | −2.77891 | − | 4.81321i | −0.145058 | − | 0.251248i | 0.784337 | − | 0.620335i | \(-0.213003\pi\) |
−0.929395 | + | 0.369088i | \(0.879670\pi\) | |||||||
\(368\) | −3.75006 | − | 2.98949i | −0.195485 | − | 0.155838i | ||||
\(369\) | 2.48326 | − | 4.30113i | 0.129273 | − | 0.223908i | ||||
\(370\) | −6.13016 | + | 13.4232i | −0.318692 | + | 0.697838i | ||||
\(371\) | 4.92307 | − | 12.2188i | 0.255593 | − | 0.634367i | ||||
\(372\) | 1.97974 | + | 2.28475i | 0.102645 | + | 0.118459i | ||||
\(373\) | −1.22655 | − | 25.7485i | −0.0635084 | − | 1.33321i | −0.775647 | − | 0.631167i | \(-0.782576\pi\) |
0.712139 | − | 0.702039i | \(-0.247727\pi\) | |||||||
\(374\) | −5.37872 | − | 1.03666i | −0.278127 | − | 0.0536045i | ||||
\(375\) | −5.82553 | + | 2.33219i | −0.300829 | + | 0.120434i | ||||
\(376\) | −0.687296 | + | 2.83307i | −0.0354446 | + | 0.146105i | ||||
\(377\) | −3.20485 | − | 2.05963i | −0.165058 | − | 0.106076i | ||||
\(378\) | 1.42547 | + | 2.22891i | 0.0733183 | + | 0.114643i | ||||
\(379\) | −6.47469 | − | 14.1776i | −0.332582 | − | 0.728254i | 0.667281 | − | 0.744806i | \(-0.267458\pi\) |
−0.999863 | + | 0.0165526i | \(0.994731\pi\) | |||||||
\(380\) | 3.61061 | + | 0.344772i | 0.185220 | + | 0.0176864i | ||||
\(381\) | 13.0377 | − | 10.2530i | 0.667941 | − | 0.525275i | ||||
\(382\) | −0.512394 | + | 10.7565i | −0.0262164 | + | 0.550349i | ||||
\(383\) | 6.37209 | − | 26.2661i | 0.325599 | − | 1.34214i | −0.540113 | − | 0.841592i | \(-0.681619\pi\) |
0.865712 | − | 0.500543i | \(-0.166866\pi\) | |||||||
\(384\) | −0.142315 | + | 0.989821i | −0.00726247 | + | 0.0505116i | ||||
\(385\) | −15.7862 | + | 3.79270i | −0.804538 | + | 0.193294i | ||||
\(386\) | 3.03279 | − | 1.94906i | 0.154365 | − | 0.0992043i | ||||
\(387\) | −7.40839 | + | 1.42785i | −0.376590 | + | 0.0725817i | ||||
\(388\) | 0.631994 | + | 2.60512i | 0.0320846 | + | 0.132255i | ||||
\(389\) | −24.7139 | + | 2.35989i | −1.25305 | + | 0.119651i | −0.700391 | − | 0.713759i | \(-0.746991\pi\) |
−0.552654 | + | 0.833410i | \(0.686385\pi\) | |||||||
\(390\) | 2.50064 | − | 4.33123i | 0.126625 | − | 0.219320i | ||||
\(391\) | −11.6838 | − | 2.33222i | −0.590873 | − | 0.117946i | ||||
\(392\) | 2.26016 | + | 6.62508i | 0.114155 | + | 0.334617i | ||||
\(393\) | −1.57027 | + | 3.43840i | −0.0792094 | + | 0.173444i | ||||
\(394\) | 7.13754 | − | 6.80564i | 0.359584 | − | 0.342863i | ||||
\(395\) | −14.3130 | + | 41.3546i | −0.720164 | + | 2.08078i | ||||
\(396\) | −1.95982 | − | 1.01036i | −0.0984849 | − | 0.0507725i | ||||
\(397\) | −0.915425 | − | 2.64495i | −0.0459439 | − | 0.132746i | 0.919695 | − | 0.392633i | \(-0.128436\pi\) |
−0.965639 | + | 0.259887i | \(0.916315\pi\) | |||||||
\(398\) | −3.73538 | + | 25.9801i | −0.187238 | + | 1.30227i | ||||
\(399\) | 3.25598 | + | 1.13498i | 0.163003 | + | 0.0568202i | ||||
\(400\) | 2.30945 | + | 1.48420i | 0.115473 | + | 0.0742098i | ||||
\(401\) | 8.70403 | + | 3.48457i | 0.434659 | + | 0.174011i | 0.578664 | − | 0.815566i | \(-0.303574\pi\) |
−0.144006 | + | 0.989577i | \(0.545998\pi\) | |||||||
\(402\) | 3.29486 | − | 4.62699i | 0.164333 | − | 0.230773i | ||||
\(403\) | 3.15133 | − | 4.42542i | 0.156979 | − | 0.220446i | ||||
\(404\) | −7.54025 | − | 3.01866i | −0.375142 | − | 0.150184i | ||||
\(405\) | 2.34123 | + | 1.50462i | 0.116337 | + | 0.0747651i | ||||
\(406\) | 4.24693 | − | 3.66356i | 0.210772 | − | 0.181819i | ||||
\(407\) | 1.66387 | − | 11.5724i | 0.0824747 | − | 0.573624i | ||||
\(408\) | 0.812532 | + | 2.34766i | 0.0402263 | + | 0.116226i | ||||
\(409\) | −22.0030 | − | 11.3434i | −1.08798 | − | 0.560893i | −0.181607 | − | 0.983371i | \(-0.558130\pi\) |
−0.906373 | + | 0.422478i | \(0.861160\pi\) | |||||||
\(410\) | 4.52073 | − | 13.0618i | 0.223263 | − | 0.645075i | ||||
\(411\) | 13.5443 | − | 12.9144i | 0.668090 | − | 0.637022i | ||||
\(412\) | −1.69262 | + | 3.70632i | −0.0833895 | + | 0.182598i | ||||
\(413\) | 2.73124 | − | 27.9488i | 0.134395 | − | 1.37527i | ||||
\(414\) | −4.24806 | − | 2.22576i | −0.208781 | − | 0.109390i | ||||
\(415\) | −16.8423 | + | 29.1717i | −0.826755 | + | 1.43198i | ||||
\(416\) | 1.78892 | − | 0.170822i | 0.0877092 | − | 0.00837522i | ||||
\(417\) | 0.707207 | + | 2.91515i | 0.0346321 | + | 0.142755i | ||||
\(418\) | −2.82169 | + | 0.543837i | −0.138014 | + | 0.0265999i | ||||
\(419\) | 23.0771 | − | 14.8307i | 1.12739 | − | 0.724529i | 0.162376 | − | 0.986729i | \(-0.448084\pi\) |
0.965014 | + | 0.262200i | \(0.0844480\pi\) | |||||||
\(420\) | 5.06938 | + | 5.34024i | 0.247361 | + | 0.260577i | ||||
\(421\) | 1.23183 | − | 8.56759i | 0.0600359 | − | 0.417559i | −0.937534 | − | 0.347893i | \(-0.886897\pi\) |
0.997570 | − | 0.0696665i | \(-0.0221935\pi\) | |||||||
\(422\) | 5.60153 | − | 23.0898i | 0.272678 | − | 1.12399i | ||||
\(423\) | −0.138713 | + | 2.91195i | −0.00674446 | + | 0.141584i | ||||
\(424\) | 3.91378 | − | 3.07783i | 0.190070 | − | 0.149473i | ||||
\(425\) | 6.78913 | + | 0.648283i | 0.329321 | + | 0.0314464i | ||||
\(426\) | 0.712461 | + | 1.56007i | 0.0345188 | + | 0.0755857i | ||||
\(427\) | −4.17453 | − | 6.52743i | −0.202020 | − | 0.315884i | ||||
\(428\) | −7.44515 | − | 4.78471i | −0.359875 | − | 0.231277i | ||||
\(429\) | −0.934172 | + | 3.85071i | −0.0451023 | + | 0.185914i | ||||
\(430\) | −19.4932 | + | 7.80388i | −0.940043 | + | 0.376337i | ||||
\(431\) | −26.4679 | − | 5.10127i | −1.27491 | − | 0.245719i | −0.493507 | − | 0.869742i | \(-0.664285\pi\) |
−0.781406 | + | 0.624022i | \(0.785497\pi\) | |||||||
\(432\) | 0.0475819 | + | 0.998867i | 0.00228929 | + | 0.0480580i | ||||
\(433\) | 19.6631 | + | 22.6925i | 0.944949 | + | 1.09053i | 0.995775 | + | 0.0918222i | \(0.0292691\pi\) |
−0.0508260 | + | 0.998708i | \(0.516185\pi\) | |||||||
\(434\) | 4.93042 | + | 6.29818i | 0.236668 | + | 0.302323i | ||||
\(435\) | 2.45085 | − | 5.36662i | 0.117509 | − | 0.257310i | ||||
\(436\) | 6.86354 | − | 11.8880i | 0.328704 | − | 0.569332i | ||||
\(437\) | −6.14501 | + | 1.14219i | −0.293955 | + | 0.0546385i | ||||
\(438\) | 0.112655 | + | 0.195124i | 0.00538286 | + | 0.00932339i | ||||
\(439\) | −2.65333 | − | 3.72609i | −0.126637 | − | 0.177836i | 0.746390 | − | 0.665509i | \(-0.231785\pi\) |
−0.873027 | + | 0.487672i | \(0.837846\pi\) | |||||||
\(440\) | −5.88783 | − | 1.72882i | −0.280691 | − | 0.0824184i | ||||
\(441\) | 3.47312 | + | 6.07762i | 0.165387 | + | 0.289410i | ||||
\(442\) | 3.75571 | − | 2.41365i | 0.178641 | − | 0.114806i | ||||
\(443\) | −8.19528 | − | 23.6787i | −0.389369 | − | 1.12501i | −0.954037 | − | 0.299690i | \(-0.903117\pi\) |
0.564667 | − | 0.825319i | \(-0.309005\pi\) | |||||||
\(444\) | −4.92257 | + | 1.97070i | −0.233615 | + | 0.0935253i | ||||
\(445\) | −25.7881 | − | 24.5889i | −1.22247 | − | 1.16563i | ||||
\(446\) | 12.0511 | − | 6.21276i | 0.570635 | − | 0.294183i | ||||
\(447\) | 2.39473 | + | 16.6557i | 0.113267 | + | 0.787788i | ||||
\(448\) | −0.506462 | + | 2.59682i | −0.0239281 | + | 0.122688i | ||||
\(449\) | −2.32322 | − | 5.08714i | −0.109640 | − | 0.240077i | 0.846857 | − | 0.531821i | \(-0.178492\pi\) |
−0.956497 | + | 0.291743i | \(0.905765\pi\) | |||||||
\(450\) | 2.54861 | + | 1.02031i | 0.120142 | + | 0.0480978i | ||||
\(451\) | −0.521063 | + | 10.9385i | −0.0245359 | + | 0.515072i | ||||
\(452\) | −4.83586 | − | 4.61098i | −0.227460 | − | 0.216882i | ||||
\(453\) | −0.931178 | − | 0.732287i | −0.0437506 | − | 0.0344058i | ||||
\(454\) | −13.8954 | + | 16.0362i | −0.652144 | + | 0.752614i | ||||
\(455\) | 7.17846 | − | 11.1157i | 0.336531 | − | 0.521113i | ||||
\(456\) | 0.853459 | + | 0.984945i | 0.0399669 | + | 0.0461243i | ||||
\(457\) | 6.30150 | − | 6.00846i | 0.294772 | − | 0.281064i | −0.528232 | − | 0.849100i | \(-0.677145\pi\) |
0.823004 | + | 0.568036i | \(0.192296\pi\) | |||||||
\(458\) | 4.92337 | − | 0.470125i | 0.230054 | − | 0.0219675i | ||||
\(459\) | 1.24215 | + | 2.15146i | 0.0579784 | + | 0.100422i | ||||
\(460\) | −12.7811 | − | 3.84501i | −0.595922 | − | 0.179274i | ||||
\(461\) | 3.77508 | 0.175823 | 0.0879114 | − | 0.996128i | \(-0.471981\pi\) | ||||
0.0879114 | + | 0.996128i | \(0.471981\pi\) | |||||||
\(462\) | −5.04567 | − | 2.92803i | −0.234746 | − | 0.136224i | ||||
\(463\) | −9.37215 | − | 2.75191i | −0.435561 | − | 0.127892i | 0.0565991 | − | 0.998397i | \(-0.481974\pi\) |
−0.492160 | + | 0.870505i | \(0.663793\pi\) | |||||||
\(464\) | 2.08160 | − | 0.401195i | 0.0966358 | − | 0.0186250i | ||||
\(465\) | 7.47824 | + | 3.85530i | 0.346795 | + | 0.178785i | ||||
\(466\) | −18.0368 | − | 3.47631i | −0.835539 | − | 0.161037i | ||||
\(467\) | −24.0440 | − | 18.9084i | −1.11262 | − | 0.874978i | −0.119593 | − | 0.992823i | \(-0.538159\pi\) |
−0.993032 | + | 0.117845i | \(0.962401\pi\) | |||||||
\(468\) | 1.72427 | − | 0.506291i | 0.0797043 | − | 0.0234033i | ||||
\(469\) | 9.31613 | − | 11.7926i | 0.430179 | − | 0.544532i | ||||
\(470\) | 1.15463 | + | 8.03064i | 0.0532592 | + | 0.370426i | ||||
\(471\) | 11.5597 | + | 1.10382i | 0.532644 | + | 0.0508613i | ||||
\(472\) | 6.15670 | − | 8.64588i | 0.283385 | − | 0.397959i | ||||
\(473\) | 13.0765 | − | 10.2835i | 0.601259 | − | 0.472835i | ||||
\(474\) | −13.9764 | + | 7.20533i | −0.641957 | + | 0.330952i | ||||
\(475\) | 3.43288 | − | 1.00798i | 0.157511 | − | 0.0462494i | ||||
\(476\) | 1.83781 | + | 6.31066i | 0.0842359 | + | 0.289249i | ||||
\(477\) | 3.26057 | − | 3.76290i | 0.149291 | − | 0.172291i | ||||
\(478\) | 0.518164 | + | 10.8776i | 0.0237003 | + | 0.497530i | ||||
\(479\) | −2.37030 | + | 6.84853i | −0.108302 | + | 0.312917i | −0.986110 | − | 0.166095i | \(-0.946884\pi\) |
0.877808 | + | 0.479013i | \(0.159005\pi\) | |||||||
\(480\) | 0.656124 | + | 2.70458i | 0.0299478 | + | 0.123447i | ||||
\(481\) | 5.52721 | + | 7.76188i | 0.252019 | + | 0.353911i | ||||
\(482\) | 22.3371 | 1.01743 | ||||||||
\(483\) | −10.9321 | − | 6.44115i | −0.497429 | − | 0.293082i | ||||
\(484\) | −6.13826 | −0.279012 | ||||||||
\(485\) | 4.32746 | + | 6.07707i | 0.196500 | + | 0.275946i | ||||
\(486\) | 0.235759 | + | 0.971812i | 0.0106942 | + | 0.0440823i | ||||
\(487\) | 5.68305 | − | 16.4201i | 0.257524 | − | 0.744066i | −0.739926 | − | 0.672689i | \(-0.765139\pi\) |
0.997449 | − | 0.0713773i | \(-0.0227394\pi\) | |||||||
\(488\) | −0.139345 | − | 2.92521i | −0.00630785 | − | 0.132418i | ||||
\(489\) | −10.2347 | + | 11.8114i | −0.462827 | + | 0.534131i | ||||
\(490\) | 12.6922 | + | 14.7793i | 0.573373 | + | 0.667659i | ||||
\(491\) | −38.3199 | + | 11.2517i | −1.72935 | + | 0.507784i | −0.986792 | − | 0.161994i | \(-0.948208\pi\) |
−0.742562 | + | 0.669778i | \(0.766389\pi\) | |||||||
\(492\) | 4.41442 | − | 2.27579i | 0.199017 | − | 0.102601i | ||||
\(493\) | 4.13973 | − | 3.25552i | 0.186444 | − | 0.146621i | ||||
\(494\) | 1.35852 | − | 1.90778i | 0.0611229 | − | 0.0858351i | ||||
\(495\) | −6.10861 | − | 0.583302i | −0.274562 | − | 0.0262175i | ||||
\(496\) | 0.430239 | + | 2.99238i | 0.0193183 | + | 0.134362i | ||||
\(497\) | 1.67713 | + | 4.21630i | 0.0752296 | + | 0.189127i | ||||
\(498\) | −11.6133 | + | 3.40997i | −0.520404 | + | 0.152804i | ||||
\(499\) | 16.4492 | + | 12.9358i | 0.736366 | + | 0.579084i | 0.914338 | − | 0.404951i | \(-0.132711\pi\) |
−0.177973 | + | 0.984035i | \(0.556954\pi\) | |||||||
\(500\) | −6.16163 | − | 1.18756i | −0.275556 | − | 0.0531091i | ||||
\(501\) | 1.85121 | + | 0.954365i | 0.0827059 | + | 0.0426379i | ||||
\(502\) | −9.92533 | + | 1.91295i | −0.442989 | + | 0.0853792i | ||||
\(503\) | −14.0169 | − | 4.11573i | −0.624982 | − | 0.183511i | −0.0461188 | − | 0.998936i | \(-0.514685\pi\) |
−0.578863 | + | 0.815425i | \(0.696503\pi\) | |||||||
\(504\) | −0.00585763 | + | 2.64574i | −0.000260920 | + | 0.117851i | ||||
\(505\) | −22.6039 | −1.00586 | ||||||||
\(506\) | 10.5743 | + | 0.0700384i | 0.470084 | + | 0.00311359i | ||||
\(507\) | 4.88528 | + | 8.46156i | 0.216963 | + | 0.375791i | ||||
\(508\) | 16.5112 | − | 1.57663i | 0.732565 | − | 0.0699514i | ||||
\(509\) | 21.7457 | − | 20.7345i | 0.963862 | − | 0.919041i | −0.0328992 | − | 0.999459i | \(-0.510474\pi\) |
0.996761 | + | 0.0804181i | \(0.0256256\pi\) | |||||||
\(510\) | 4.52761 | + | 5.22515i | 0.200486 | + | 0.231373i | ||||
\(511\) | 0.271981 | + | 0.530451i | 0.0120318 | + | 0.0234658i | ||||
\(512\) | −0.654861 | + | 0.755750i | −0.0289410 | + | 0.0333997i | ||||
\(513\) | 1.02444 | + | 0.805627i | 0.0452301 | + | 0.0355693i | ||||
\(514\) | −11.9209 | − | 11.3666i | −0.525809 | − | 0.501358i | ||||
\(515\) | −0.539557 | + | 11.3267i | −0.0237757 | + | 0.499114i | ||||
\(516\) | −7.00429 | − | 2.80410i | −0.308347 | − | 0.123443i | ||||
\(517\) | −2.67026 | − | 5.84706i | −0.117438 | − | 0.257153i | ||||
\(518\) | −13.2674 | + | 4.55901i | −0.582935 | + | 0.200312i | ||||
\(519\) | −0.306985 | − | 2.13513i | −0.0134752 | − | 0.0937217i | ||||
\(520\) | 4.44531 | − | 2.29172i | 0.194940 | − | 0.100498i | ||||
\(521\) | −4.01143 | − | 3.82489i | −0.175744 | − | 0.167571i | 0.597102 | − | 0.802165i | \(-0.296319\pi\) |
−0.772846 | + | 0.634594i | \(0.781167\pi\) | |||||||
\(522\) | 1.96806 | − | 0.787891i | 0.0861395 | − | 0.0344850i | ||||
\(523\) | 10.9824 | + | 31.7314i | 0.480225 | + | 1.38752i | 0.881770 | + | 0.471680i | \(0.156352\pi\) |
−0.401545 | + | 0.915839i | \(0.631527\pi\) | |||||||
\(524\) | −3.17993 | + | 2.04362i | −0.138916 | + | 0.0892759i | ||||
\(525\) | 6.60019 | + | 3.03189i | 0.288056 | + | 0.132322i | ||||
\(526\) | 11.6503 | + | 3.42084i | 0.507978 | + | 0.149156i | ||||
\(527\) | 4.35646 | + | 6.11779i | 0.189770 | + | 0.266495i | ||||
\(528\) | −1.10247 | − | 1.90953i | −0.0479788 | − | 0.0831016i | ||||
\(529\) | 22.9980 | + | 0.304667i | 0.999912 | + | 0.0132464i | ||||
\(530\) | 6.92839 | − | 12.0003i | 0.300950 | − | 0.521261i | ||||
\(531\) | 4.40920 | − | 9.65480i | 0.191343 | − | 0.418982i | ||||
\(532\) | 2.12548 | + | 2.71512i | 0.0921514 | + | 0.117715i | ||||
\(533\) | −5.84473 | − | 6.74518i | −0.253163 | − | 0.292166i | ||||
\(534\) | −0.609207 | − | 12.7888i | −0.0263630 | − | 0.553427i | ||||
\(535\) | −24.1849 | − | 4.66126i | −1.04560 | − | 0.201524i | ||||
\(536\) | 5.27335 | − | 2.11113i | 0.227774 | − | 0.0911870i | ||||
\(537\) | −2.17820 | + | 8.97865i | −0.0939961 | + | 0.387457i | ||||
\(538\) | −5.60429 | − | 3.60166i | −0.241618 | − | 0.155278i | ||||
\(539\) | −12.9473 | − | 8.40196i | −0.557679 | − | 0.361898i | ||||
\(540\) | 1.15611 | + | 2.53153i | 0.0497511 | + | 0.108940i | ||||
\(541\) | −18.6031 | − | 1.77638i | −0.799808 | − | 0.0763724i | −0.312855 | − | 0.949801i | \(-0.601285\pi\) |
−0.486953 | + | 0.873428i | \(0.661892\pi\) | |||||||
\(542\) | −9.73183 | + | 7.65320i | −0.418018 | + | 0.328733i | ||||
\(543\) | −1.07058 | + | 22.4742i | −0.0459429 | + | 0.964460i | ||||
\(544\) | −0.585694 | + | 2.41426i | −0.0251114 | + | 0.103511i | ||||
\(545\) | 5.43683 | − | 37.8140i | 0.232888 | − | 1.61977i | ||||
\(546\) | 4.62302 | − | 1.11070i | 0.197847 | − | 0.0475337i | ||||
\(547\) | 19.7445 | − | 12.6890i | 0.844212 | − | 0.542542i | −0.0455524 | − | 0.998962i | \(-0.514505\pi\) |
0.889765 | + | 0.456420i | \(0.150868\pi\) | |||||||
\(548\) | 18.3762 | − | 3.54173i | 0.784994 | − | 0.151295i | ||||
\(549\) | −0.690427 | − | 2.84598i | −0.0294667 | − | 0.121463i | ||||
\(550\) | −6.02570 | + | 0.575384i | −0.256937 | + | 0.0245345i | ||||
\(551\) | 1.38141 | − | 2.39266i | 0.0588498 | − | 0.101931i | ||||
\(552\) | −2.37035 | − | 4.16910i | −0.100889 | − | 0.177449i | ||||
\(553\) | −37.8814 | + | 17.1986i | −1.61088 | + | 0.731360i | ||||
\(554\) | −6.12653 | + | 13.4152i | −0.260291 | + | 0.569959i | ||||
\(555\) | −10.6799 | + | 10.1833i | −0.453338 | + | 0.432257i | ||||
\(556\) | −0.981107 | + | 2.83472i | −0.0416082 | + | 0.120219i | ||||
\(557\) | −9.69177 | − | 4.99645i | −0.410653 | − | 0.211707i | 0.240506 | − | 0.970648i | \(-0.422687\pi\) |
−0.651159 | + | 0.758941i | \(0.725717\pi\) | |||||||
\(558\) | 0.988776 | + | 2.85688i | 0.0418582 | + | 0.120941i | ||||
\(559\) | −1.92956 | + | 13.4204i | −0.0816115 | + | 0.567620i | ||||
\(560\) | 1.37748 | + | 7.23321i | 0.0582094 | + | 0.305659i | ||||
\(561\) | −4.60814 | − | 2.96147i | −0.194556 | − | 0.125033i | ||||
\(562\) | −13.5345 | − | 5.41838i | −0.570917 | − | 0.228561i | ||||
\(563\) | −15.8933 | + | 22.3190i | −0.669822 | + | 0.940633i | −0.999995 | − | 0.00328763i | \(-0.998954\pi\) |
0.330173 | + | 0.943920i | \(0.392893\pi\) | |||||||
\(564\) | −1.69101 | + | 2.37469i | −0.0712044 | + | 0.0999926i | ||||
\(565\) | −17.2637 | − | 6.91133i | −0.726287 | − | 0.290762i | ||||
\(566\) | 11.2935 | + | 7.25790i | 0.474702 | + | 0.305072i | ||||
\(567\) | 0.494959 | + | 2.59904i | 0.0207863 | + | 0.109149i | ||||
\(568\) | −0.244078 | + | 1.69760i | −0.0102413 | + | 0.0712298i | ||||
\(569\) | 11.5909 | + | 33.4896i | 0.485914 | + | 1.40396i | 0.875613 | + | 0.483014i | \(0.160458\pi\) |
−0.389699 | + | 0.920942i | \(0.627421\pi\) | |||||||
\(570\) | 3.22384 | + | 1.66200i | 0.135032 | + | 0.0696137i | ||||
\(571\) | 12.3129 | − | 35.5758i | 0.515279 | − | 1.48880i | −0.324506 | − | 0.945884i | \(-0.605198\pi\) |
0.839786 | − | 0.542918i | \(-0.182681\pi\) | |||||||
\(572\) | −2.86773 | + | 2.73437i | −0.119906 | + | 0.114330i | ||||
\(573\) | −4.47347 | + | 9.79553i | −0.186882 | + | 0.409214i | ||||
\(574\) | 11.9648 | − | 5.43215i | 0.499400 | − | 0.226734i | ||||
\(575\) | −13.1142 | + | 1.16465i | −0.546898 | + | 0.0485694i | ||||
\(576\) | −0.500000 | + | 0.866025i | −0.0208333 | + | 0.0360844i | ||||
\(577\) | −29.1760 | + | 2.78597i | −1.21461 | + | 0.115982i | −0.682624 | − | 0.730770i | \(-0.739161\pi\) |
−0.531989 | + | 0.846751i | \(0.678555\pi\) | |||||||
\(578\) | −2.55287 | − | 10.5231i | −0.106185 | − | 0.437702i | ||||
\(579\) | 3.53994 | − | 0.682267i | 0.147115 | − | 0.0283540i | ||||
\(580\) | 4.96320 | − | 3.18966i | 0.206086 | − | 0.132443i | ||||
\(581\) | −31.1370 | + | 7.48079i | −1.29178 | + | 0.310356i | ||||
\(582\) | −0.381500 | + | 2.65339i | −0.0158137 | + | 0.109987i | ||||
\(583\) | −2.58826 | + | 10.6690i | −0.107195 | + | 0.441864i | ||||
\(584\) | −0.0107207 | + | 0.225055i | −0.000443625 | + | 0.00931283i | ||||
\(585\) | 3.93127 | − | 3.09158i | 0.162538 | − | 0.127821i | ||||
\(586\) | −8.86491 | − | 0.846496i | −0.366206 | − | 0.0349684i | ||||
\(587\) | −14.4058 | − | 31.5443i | −0.594590 | − | 1.30197i | −0.932628 | − | 0.360839i | \(-0.882490\pi\) |
0.338038 | − | 0.941133i | \(-0.390237\pi\) | |||||||
\(588\) | −0.364031 | + | 6.99053i | −0.0150124 | + | 0.288285i | ||||
\(589\) | 3.31452 | + | 2.13011i | 0.136572 | + | 0.0877698i | ||||
\(590\) | 6.96407 | − | 28.7063i | 0.286706 | − | 1.18182i | ||||
\(591\) | 9.15567 | − | 3.66538i | 0.376614 | − | 0.150773i | ||||
\(592\) | −5.20657 | − | 1.00348i | −0.213989 | − | 0.0412430i | ||||
\(593\) | −2.21017 | − | 46.3973i | −0.0907610 | − | 1.90531i | −0.345692 | − | 0.938348i | \(-0.612356\pi\) |
0.254931 | − | 0.966959i | \(-0.417947\pi\) | |||||||
\(594\) | −1.44393 | − | 1.66638i | −0.0592450 | − | 0.0683724i | ||||
\(595\) | 11.2757 | + | 14.4038i | 0.462259 | + | 0.590497i | ||||
\(596\) | −6.99018 | + | 15.3064i | −0.286329 | + | 0.626973i | ||||
\(597\) | −13.1237 | + | 22.7308i | −0.537115 | + | 0.930311i | ||||
\(598\) | −6.27669 | + | 5.90594i | −0.256673 | + | 0.241512i | ||||
\(599\) | −12.7314 | − | 22.0514i | −0.520190 | − | 0.900996i | −0.999724 | − | 0.0234730i | \(-0.992528\pi\) |
0.479534 | − | 0.877523i | \(-0.340806\pi\) | |||||||
\(600\) | 1.59240 | + | 2.23622i | 0.0650096 | + | 0.0912932i | ||||
\(601\) | −23.1385 | − | 6.79409i | −0.943841 | − | 0.277137i | −0.226620 | − | 0.973983i | \(-0.572768\pi\) |
−0.717220 | + | 0.696846i | \(0.754586\pi\) | |||||||
\(602\) | −18.1392 | − | 8.33249i | −0.739299 | − | 0.339607i | ||||
\(603\) | 4.77852 | − | 3.07097i | 0.194596 | − | 0.125060i | ||||
\(604\) | −0.387453 | − | 1.11947i | −0.0157652 | − | 0.0455507i | ||||
\(605\) | −15.8593 | + | 6.34909i | −0.644771 | + | 0.258127i | ||||
\(606\) | −5.87821 | − | 5.60486i | −0.238786 | − | 0.227682i | ||||
\(607\) | −5.77583 | + | 2.97765i | −0.234434 | + | 0.120859i | −0.571441 | − | 0.820643i | \(-0.693615\pi\) |
0.337008 | + | 0.941502i | \(0.390585\pi\) | |||||||
\(608\) | 0.185474 | + | 1.29000i | 0.00752198 | + | 0.0523165i | ||||
\(609\) | 5.30432 | − | 1.82270i | 0.214942 | − | 0.0738597i | ||||
\(610\) | −3.38571 | − | 7.41367i | −0.137083 | − | 0.300171i | ||||
\(611\) | 4.86361 | + | 1.94710i | 0.196761 | + | 0.0787711i | ||||
\(612\) | −0.118207 | + | 2.48148i | −0.00477825 | + | 0.100308i | ||||
\(613\) | 22.7482 | + | 21.6903i | 0.918790 | + | 0.876065i | 0.992627 | − | 0.121205i | \(-0.0386760\pi\) |
−0.0738370 | + | 0.997270i | \(0.523524\pi\) | |||||||
\(614\) | 4.91068 | + | 3.86180i | 0.198179 | + | 0.155850i | ||||
\(615\) | 9.05147 | − | 10.4460i | 0.364990 | − | 0.421221i | ||||
\(616\) | −2.66167 | − | 5.19111i | −0.107242 | − | 0.209156i | ||||
\(617\) | 2.98513 | + | 3.44503i | 0.120177 | + | 0.138691i | 0.812650 | − | 0.582752i | \(-0.198024\pi\) |
−0.692473 | + | 0.721444i | \(0.743479\pi\) | |||||||
\(618\) | −2.94888 | + | 2.81175i | −0.118621 | + | 0.113105i | ||||
\(619\) | 30.3505 | − | 2.89812i | 1.21989 | − | 0.116485i | 0.534822 | − | 0.844965i | \(-0.320379\pi\) |
0.685067 | + | 0.728480i | \(0.259773\pi\) | |||||||
\(620\) | 4.20676 | + | 7.28632i | 0.168948 | + | 0.292626i | ||||
\(621\) | −3.11653 | − | 3.64517i | −0.125062 | − | 0.146276i | ||||
\(622\) | 0.823464 | 0.0330179 | ||||||||
\(623\) | 0.0749972 | − | 33.8743i | 0.00300470 | − | 1.35715i | ||||
\(624\) | 1.72427 | + | 0.506291i | 0.0690260 | + | 0.0202679i | ||||
\(625\) | −30.6262 | + | 5.90272i | −1.22505 | + | 0.236109i | ||||
\(626\) | −7.39964 | − | 3.81478i | −0.295749 | − | 0.152469i | ||||
\(627\) | −2.82169 | − | 0.543837i | −0.112688 | − | 0.0217187i | ||||
\(628\) | 9.12788 | + | 7.17825i | 0.364242 | + | 0.286443i | ||||
\(629\) | −12.6391 | + | 3.71118i | −0.503954 | + | 0.147974i | ||||
\(630\) | 2.72149 | + | 6.84180i | 0.108427 | + | 0.272584i | ||||
\(631\) | 2.02003 | + | 14.0496i | 0.0804163 | + | 0.559307i | 0.989703 | + | 0.143137i | \(0.0457190\pi\) |
−0.909287 | + | 0.416170i | \(0.863372\pi\) | |||||||
\(632\) | −15.6532 | − | 1.49470i | −0.622651 | − | 0.0594559i | ||||
\(633\) | 13.7819 | − | 19.3540i | 0.547781 | − | 0.769251i | ||||
\(634\) | 12.6872 | − | 9.97729i | 0.503871 | − | 0.396249i | ||||
\(635\) | 41.0287 | − | 21.1518i | 1.62817 | − | 0.839382i | ||||
\(636\) | 4.77734 | − | 1.40275i | 0.189434 | − | 0.0556228i | ||||
\(637\) | 12.3625 | − | 2.32596i | 0.489821 | − | 0.0921577i | ||||
\(638\) | −3.06099 | + | 3.53257i | −0.121186 | + | 0.139856i | ||||
\(639\) | 0.0816058 | + | 1.71312i | 0.00322827 | + | 0.0677698i | ||||
\(640\) | −0.910240 | + | 2.62997i | −0.0359804 | + | 0.103959i | ||||
\(641\) | 5.72692 | + | 23.6067i | 0.226200 | + | 0.932408i | 0.965785 | + | 0.259345i | \(0.0835066\pi\) |
−0.739585 | + | 0.673063i | \(0.764978\pi\) | |||||||
\(642\) | −5.13354 | − | 7.20905i | −0.202605 | − | 0.284518i | ||||
\(643\) | 10.7508 | 0.423972 | 0.211986 | − | 0.977273i | \(-0.432007\pi\) | ||||
0.211986 | + | 0.977273i | \(0.432007\pi\) | |||||||
\(644\) | −5.71435 | − | 11.3290i | −0.225177 | − | 0.446425i | ||||
\(645\) | −20.9972 | −0.826765 | ||||||||
\(646\) | 1.87805 | + | 2.63735i | 0.0738909 | + | 0.103765i | ||||
\(647\) | 8.41495 | + | 34.6869i | 0.330826 | + | 1.36368i | 0.857880 | + | 0.513851i | \(0.171781\pi\) |
−0.527054 | + | 0.849832i | \(0.676703\pi\) | |||||||
\(648\) | −0.327068 | + | 0.945001i | −0.0128484 | + | 0.0371231i | ||||
\(649\) | 1.11356 | + | 23.3766i | 0.0437112 | + | 0.917611i | ||||
\(650\) | 3.23068 | − | 3.72841i | 0.126718 | − | 0.146240i | ||||
\(651\) | 2.23644 | + | 7.67948i | 0.0876531 | + | 0.300983i | ||||
\(652\) | −14.9957 | + | 4.40313i | −0.587276 | + | 0.172440i | ||||
\(653\) | 21.0192 | − | 10.8362i | 0.822547 | − | 0.424052i | 0.00505120 | − | 0.999987i | \(-0.498392\pi\) |
0.817496 | + | 0.575935i | \(0.195362\pi\) | |||||||
\(654\) | 10.7902 | − | 8.48552i | 0.421931 | − | 0.331810i | ||||
\(655\) | −6.10210 | + | 8.56920i | −0.238429 | + | 0.334826i | ||||
\(656\) | 4.94403 | + | 0.472098i | 0.193032 | + | 0.0184323i | ||||
\(657\) | 0.0320649 | + | 0.223017i | 0.00125097 | + | 0.00870070i | ||||
\(658\) | −4.78129 | + | 6.05228i | −0.186394 | + | 0.235942i | ||||
\(659\) | 23.6624 | − | 6.94791i | 0.921757 | − | 0.270652i | 0.213775 | − | 0.976883i | \(-0.431424\pi\) |
0.707982 | + | 0.706231i | \(0.249606\pi\) | |||||||
\(660\) | −4.82354 | − | 3.79327i | −0.187756 | − | 0.147653i | ||||
\(661\) | −24.3294 | − | 4.68910i | −0.946303 | − | 0.182385i | −0.307320 | − | 0.951606i | \(-0.599432\pi\) |
−0.638983 | + | 0.769221i | \(0.720644\pi\) | |||||||
\(662\) | 15.3328 | + | 7.90461i | 0.595927 | + | 0.307222i | ||||
\(663\) | 4.38375 | − | 0.844898i | 0.170251 | − | 0.0328131i | ||||
\(664\) | −11.6133 | − | 3.40997i | −0.450683 | − | 0.132332i | ||||
\(665\) | 8.29994 | + | 4.81650i | 0.321858 | + | 0.186776i | ||||
\(666\) | −5.30239 | −0.205464 | ||||||||
\(667\) | −6.70854 | + | 7.63923i | −0.259756 | + | 0.295792i | ||||
\(668\) | 1.04137 | + | 1.80370i | 0.0402917 | + | 0.0697873i | ||||
\(669\) | 13.4969 | − | 1.28880i | 0.521819 | − | 0.0498277i | ||||
\(670\) | 11.4410 | − | 10.9090i | 0.442004 | − | 0.421450i | ||||
\(671\) | 4.22858 | + | 4.88004i | 0.163242 | + | 0.188392i | ||||
\(672\) | −1.43533 | + | 2.22258i | −0.0553689 | + | 0.0857377i | ||||
\(673\) | −13.8825 | + | 16.0212i | −0.535130 | + | 0.617573i | −0.957354 | − | 0.288918i | \(-0.906704\pi\) |
0.422223 | + | 0.906492i | \(0.361250\pi\) | |||||||
\(674\) | 9.58022 | + | 7.53397i | 0.369016 | + | 0.290198i | ||||
\(675\) | 1.98683 | + | 1.89444i | 0.0764732 | + | 0.0729171i | ||||
\(676\) | −0.464902 | + | 9.75950i | −0.0178809 | + | 0.375365i | ||||
\(677\) | −31.2795 | − | 12.5224i | −1.20217 | − | 0.481276i | −0.317842 | − | 0.948144i | \(-0.602958\pi\) |
−0.884327 | + | 0.466868i | \(0.845382\pi\) | |||||||
\(678\) | −2.77573 | − | 6.07800i | −0.106601 | − | 0.233424i | ||||
\(679\) | −1.35766 | + | 6.96125i | −0.0521023 | + | 0.267148i | ||||
\(680\) | 0.983945 | + | 6.84349i | 0.0377326 | + | 0.262436i | ||||
\(681\) | −18.8601 | + | 9.72305i | −0.722720 | + | 0.372588i | ||||
\(682\) | −4.82431 | − | 4.59997i | −0.184732 | − | 0.176142i | ||||
\(683\) | 32.0516 | − | 12.8315i | 1.22642 | − | 0.490985i | 0.334165 | − | 0.942515i | \(-0.391546\pi\) |
0.892256 | + | 0.451530i | \(0.149121\pi\) | |||||||
\(684\) | 0.426257 | + | 1.23159i | 0.0162984 | + | 0.0470910i | ||||
\(685\) | 43.8148 | − | 28.1581i | 1.67408 | − | 1.07587i | ||||
\(686\) | −1.88288 | + | 18.4243i | −0.0718885 | + | 0.703443i | ||||
\(687\) | 4.74543 | + | 1.39338i | 0.181049 | + | 0.0531609i | ||||
\(688\) | −4.37638 | − | 6.14576i | −0.166848 | − | 0.234305i | ||||
\(689\) | −4.47381 | − | 7.74887i | −0.170439 | − | 0.295208i | ||||
\(690\) | −10.4365 | − | 8.31984i | −0.397312 | − | 0.316731i | ||||
\(691\) | 4.01458 | − | 6.95345i | 0.152722 | − | 0.264522i | −0.779505 | − | 0.626395i | \(-0.784530\pi\) |
0.932227 | + | 0.361874i | \(0.117863\pi\) | |||||||
\(692\) | 0.896085 | − | 1.96215i | 0.0340641 | − | 0.0745899i | ||||
\(693\) | −3.59600 | − | 4.59358i | −0.136601 | − | 0.174496i | ||||
\(694\) | 18.1085 | + | 20.8983i | 0.687390 | + | 0.793290i | ||||
\(695\) | 0.397226 | + | 8.33881i | 0.0150677 | + | 0.316309i | ||||
\(696\) | 2.08160 | + | 0.401195i | 0.0789028 | + | 0.0152073i | ||||
\(697\) | 11.4545 | − | 4.58568i | 0.433869 | − | 0.173695i | ||||
\(698\) | −0.329323 | + | 1.35749i | −0.0124651 | + | 0.0513817i | ||||
\(699\) | −15.4528 | − | 9.93090i | −0.584478 | − | 0.375621i | ||||
\(700\) | 3.91328 | + | 6.11892i | 0.147908 | + | 0.231273i | ||||
\(701\) | 11.8554 | + | 25.9598i | 0.447774 | + | 0.980488i | 0.990106 | + | 0.140324i | \(0.0448143\pi\) |
−0.542332 | + | 0.840164i | \(0.682458\pi\) | |||||||
\(702\) | 1.78892 | + | 0.170822i | 0.0675186 | + | 0.00644725i | ||||
\(703\) | −5.43198 | + | 4.27175i | −0.204871 | + | 0.161112i | ||||
\(704\) | 0.104915 | − | 2.20244i | 0.00395413 | − | 0.0830075i | ||||
\(705\) | −1.91276 | + | 7.88452i | −0.0720389 | + | 0.296948i | ||||
\(706\) | 1.31344 | − | 9.13516i | 0.0494319 | − | 0.343806i | ||||
\(707\) | −14.7946 | − | 15.5851i | −0.556408 | − | 0.586137i | ||||
\(708\) | 8.92903 | − | 5.73834i | 0.335574 | − | 0.215660i | ||||
\(709\) | −5.75035 | + | 1.10829i | −0.215959 | + | 0.0416227i | −0.296083 | − | 0.955162i | \(-0.595680\pi\) |
0.0801241 | + | 0.996785i | \(0.474468\pi\) | |||||||
\(710\) | 1.12529 | + | 4.63851i | 0.0422314 | + | 0.174080i | ||||
\(711\) | −15.6532 | + | 1.49470i | −0.587041 | + | 0.0560556i | ||||
\(712\) | 6.40166 | − | 11.0880i | 0.239912 | − | 0.415541i | ||||
\(713\) | −10.4266 | − | 10.0744i | −0.390479 | − | 0.377290i | ||||
\(714\) | −0.639271 | + | 6.54166i | −0.0239241 | + | 0.244815i | ||||
\(715\) | −4.58099 | + | 10.0310i | −0.171319 | + | 0.375137i | ||||
\(716\) | −6.68664 | + | 6.37570i | −0.249891 | + | 0.238271i | ||||
\(717\) | −3.56175 | + | 10.2910i | −0.133016 | + | 0.384325i | ||||
\(718\) | 26.7886 | + | 13.8105i | 0.999741 | + | 0.515402i | ||||
\(719\) | −9.29306 | − | 26.8505i | −0.346573 | − | 1.00136i | −0.974753 | − | 0.223288i | \(-0.928321\pi\) |
0.628180 | − | 0.778068i | \(-0.283800\pi\) | |||||||
\(720\) | −0.396066 | + | 2.75470i | −0.0147605 | + | 0.102662i | ||||
\(721\) | −8.16274 | + | 7.04147i | −0.303996 | + | 0.262238i | ||||
\(722\) | −14.5549 | − | 9.35389i | −0.541679 | − | 0.348116i | ||||
\(723\) | 20.7371 | + | 8.30187i | 0.771220 | + | 0.308750i | ||||
\(724\) | −13.0511 | + | 18.3277i | −0.485040 | + | 0.681143i | ||||
\(725\) | 3.37575 | − | 4.74058i | 0.125372 | − | 0.176061i | ||||
\(726\) | −5.69856 | − | 2.28136i | −0.211494 | − | 0.0846692i | ||||
\(727\) | 34.6020 | + | 22.2374i | 1.28332 | + | 0.824739i | 0.991293 | − | 0.131672i | \(-0.0420345\pi\) |
0.292025 | + | 0.956411i | \(0.405671\pi\) | |||||||
\(728\) | 4.48963 | + | 1.56501i | 0.166397 | + | 0.0580033i | ||||
\(729\) | −0.142315 | + | 0.989821i | −0.00527092 | + | 0.0366601i | ||||
\(730\) | 0.205086 | + | 0.592557i | 0.00759057 | + | 0.0219315i | ||||
\(731\) | −16.6597 | − | 8.58869i | −0.616183 | − | 0.317664i | ||||
\(732\) | 0.957828 | − | 2.76746i | 0.0354023 | − | 0.102288i | ||||
\(733\) | 30.4048 | − | 28.9910i | 1.12303 | − | 1.07081i | 0.126137 | − | 0.992013i | \(-0.459742\pi\) |
0.996891 | − | 0.0787925i | \(-0.0251065\pi\) | |||||||
\(734\) | 2.30880 | − | 5.05557i | 0.0852194 | − | 0.186604i | ||||
\(735\) | 6.29010 | + | 18.4378i | 0.232014 | + | 0.680088i | ||||
\(736\) | 0.259918 | − | 4.78878i | 0.00958071 | − | 0.176517i | ||||
\(737\) | −6.26228 | + | 10.8466i | −0.230674 | + | 0.399539i | ||||
\(738\) | 4.94403 | − | 0.472098i | 0.181992 | − | 0.0173782i | ||||
\(739\) | 5.80006 | + | 23.9082i | 0.213359 | + | 0.879476i | 0.973310 | + | 0.229496i | \(0.0737077\pi\) |
−0.759951 | + | 0.649980i | \(0.774777\pi\) | |||||||
\(740\) | −14.4900 | + | 2.79273i | −0.532665 | + | 0.102663i | ||||
\(741\) | 1.97026 | − | 1.26621i | 0.0723794 | − | 0.0465154i | ||||
\(742\) | 12.8088 | − | 3.07737i | 0.470225 | − | 0.112974i | ||||
\(743\) | −3.89125 | + | 27.0642i | −0.142756 | + | 0.992890i | 0.784945 | + | 0.619566i | \(0.212691\pi\) |
−0.927701 | + | 0.373324i | \(0.878218\pi\) | |||||||
\(744\) | −0.712735 | + | 2.93793i | −0.0261301 | + | 0.107710i | ||||
\(745\) | −2.22826 | + | 46.7769i | −0.0816371 | + | 1.71377i | ||||
\(746\) | 20.2626 | − | 15.9347i | 0.741867 | − | 0.583411i | ||||
\(747\) | −12.0488 | − | 1.15052i | −0.440841 | − | 0.0420952i | ||||
\(748\) | −2.27552 | − | 4.98270i | −0.0832013 | − | 0.182185i | ||||
\(749\) | −12.6155 | − | 19.7260i | −0.460960 | − | 0.720772i | ||||
\(750\) | −5.27889 | − | 3.39254i | −0.192758 | − | 0.123878i | ||||
\(751\) | 2.24373 | − | 9.24878i | 0.0818748 | − | 0.337493i | −0.916111 | − | 0.400924i | \(-0.868689\pi\) |
0.997986 | + | 0.0634312i | \(0.0202043\pi\) | |||||||
\(752\) | −2.70642 | + | 1.08349i | −0.0986931 | + | 0.0395108i | ||||
\(753\) | −9.92533 | − | 1.91295i | −0.361699 | − | 0.0697118i | ||||
\(754\) | −0.181268 | − | 3.80529i | −0.00660141 | − | 0.138581i | ||||
\(755\) | −2.15898 | − | 2.49159i | −0.0785732 | − | 0.0906783i | ||||
\(756\) | −0.988762 | + | 2.45405i | −0.0359609 | + | 0.0892528i | ||||
\(757\) | 7.11014 | − | 15.5690i | 0.258422 | − | 0.565866i | −0.735300 | − | 0.677742i | \(-0.762959\pi\) |
0.993722 | + | 0.111876i | \(0.0356860\pi\) | |||||||
\(758\) | 7.79304 | − | 13.4979i | 0.283056 | − | 0.490267i | ||||
\(759\) | 9.79078 | + | 3.99508i | 0.355383 | + | 0.145012i | ||||
\(760\) | 1.81352 | + | 3.14110i | 0.0657832 | + | 0.113940i | ||||
\(761\) | 0.428079 | + | 0.601153i | 0.0155178 | + | 0.0217918i | 0.822262 | − | 0.569109i | \(-0.192712\pi\) |
−0.806744 | + | 0.590901i | \(0.798772\pi\) | |||||||
\(762\) | 15.9144 | + | 4.67289i | 0.576518 | + | 0.169281i | ||||
\(763\) | 29.6307 | − | 21.0012i | 1.07270 | − | 0.760295i | ||||
\(764\) | −9.05918 | + | 5.82198i | −0.327750 | + | 0.210632i | ||||
\(765\) | 2.26130 | + | 6.53360i | 0.0817575 | + | 0.236223i | ||||
\(766\) | 25.0919 | − | 10.0453i | 0.906608 | − | 0.362951i | ||||
\(767\) | −13.8045 | − | 13.1625i | −0.498450 | − | 0.475271i | ||||
\(768\) | −0.888835 | + | 0.458227i | −0.0320731 | + | 0.0165348i | ||||
\(769\) | 7.60858 | + | 52.9189i | 0.274372 | + | 1.90830i | 0.400514 | + | 0.916290i | \(0.368831\pi\) |
−0.126142 | + | 0.992012i | \(0.540259\pi\) | |||||||
\(770\) | −12.2463 | − | 10.6591i | −0.441327 | − | 0.384126i | ||||
\(771\) | −6.84247 | − | 14.9829i | −0.246426 | − | 0.539597i | ||||
\(772\) | 3.34685 | + | 1.33987i | 0.120456 | + | 0.0482231i | ||||
\(773\) | 0.561416 | − | 11.7856i | 0.0201927 | − | 0.423898i | −0.966025 | − | 0.258447i | \(-0.916789\pi\) |
0.986218 | − | 0.165450i | \(-0.0529078\pi\) | |||||||
\(774\) | −5.46038 | − | 5.20646i | −0.196269 | − | 0.187142i | ||||
\(775\) | 6.52371 | + | 5.13030i | 0.234338 | + | 0.184286i | ||||
\(776\) | −1.75547 | + | 2.02592i | −0.0630178 | + | 0.0727264i | ||||
\(777\) | −14.0114 | − | 0.698541i | −0.502657 | − | 0.0250600i | ||||
\(778\) | −16.2578 | − | 18.7625i | −0.582870 | − | 0.672668i | ||||
\(779\) | 4.68452 | − | 4.46668i | 0.167840 | − | 0.160035i | ||||
\(780\) | 4.97863 | − | 0.475402i | 0.178264 | − | 0.0170221i | ||||
\(781\) | −1.89080 | − | 3.27496i | −0.0676580 | − | 0.117187i | ||||
\(782\) | −4.87747 | − | 10.8701i | −0.174418 | − | 0.388715i | ||||
\(783\) | 2.11991 | 0.0757594 | ||||||||
\(784\) | −4.08561 | + | 5.68400i | −0.145915 | + | 0.203000i | ||||
\(785\) | 31.0083 | + | 9.10485i | 1.10673 | + | 0.324966i | ||||
\(786\) | −3.71168 | + | 0.715368i | −0.132391 | + | 0.0255163i | ||||
\(787\) | 8.57124 | + | 4.41878i | 0.305532 | + | 0.157513i | 0.604174 | − | 0.796853i | \(-0.293503\pi\) |
−0.298642 | + | 0.954365i | \(0.596534\pi\) | |||||||
\(788\) | 9.68389 | + | 1.86642i | 0.344974 | + | 0.0664883i | ||||
\(789\) | 9.54439 | + | 7.50579i | 0.339789 | + | 0.267213i | ||||
\(790\) | −41.9888 | + | 12.3290i | −1.49389 | + | 0.438647i | ||||
\(791\) | −6.53406 | − | 16.4266i | −0.232324 | − | 0.584063i | ||||
\(792\) | −0.313795 | − | 2.18249i | −0.0111502 | − | 0.0775515i | ||||
\(793\) | −5.23892 | − | 0.500256i | −0.186039 | − | 0.0177646i | ||||
\(794\) | 1.62351 | − | 2.27990i | 0.0576163 | − | 0.0809108i | ||||
\(795\) | 10.8922 | − | 8.56570i | 0.386305 | − | 0.303794i | ||||
\(796\) | −23.3295 | + | 12.0272i | −0.826893 | + | 0.426293i | ||||
\(797\) | 11.4577 | − | 3.36428i | 0.405852 | − | 0.119169i | −0.0724338 | − | 0.997373i | \(-0.523077\pi\) |
0.478286 | + | 0.878204i | \(0.341258\pi\) | |||||||
\(798\) | 0.964122 | + | 3.31059i | 0.0341295 | + | 0.117194i | ||||
\(799\) | −4.74272 | + | 5.47339i | −0.167785 | + | 0.193635i | ||||
\(800\) | 0.130624 | + | 2.74214i | 0.00461827 | + | 0.0969494i | ||||
\(801\) | 4.18756 | − | 12.0992i | 0.147960 | − | 0.427503i | ||||
\(802\) | 2.21039 | + | 9.11135i | 0.0780515 | + | 0.321733i | ||||
\(803\) | −0.288169 | − | 0.404676i | −0.0101692 | − | 0.0142807i | ||||
\(804\) | 5.68024 | 0.200327 | ||||||||
\(805\) | −26.4821 | − | 23.3598i | −0.933373 | − | 0.823326i | ||||
\(806\) | 5.43279 | 0.191362 | ||||||||
\(807\) | −3.86424 | − | 5.42656i | −0.136028 | − | 0.191024i | ||||
\(808\) | −1.91485 | − | 7.89310i | −0.0673641 | − | 0.277678i | ||||
\(809\) | −6.60552 | + | 19.0854i | −0.232238 | + | 0.671006i | 0.767320 | + | 0.641264i | \(0.221590\pi\) |
−0.999558 | + | 0.0297420i | \(0.990531\pi\) | |||||||
\(810\) | 0.132422 | + | 2.77988i | 0.00465283 | + | 0.0976749i | ||||
\(811\) | 14.1406 | − | 16.3191i | 0.496544 | − | 0.573042i | −0.451059 | − | 0.892494i | \(-0.648953\pi\) |
0.947602 | + | 0.319452i | \(0.103499\pi\) | |||||||
\(812\) | 5.44771 | + | 1.33438i | 0.191177 | + | 0.0468275i | ||||
\(813\) | −11.8791 | + | 3.48803i | −0.416619 | + | 0.122330i | ||||
\(814\) | 10.3918 | − | 5.35733i | 0.364231 | − | 0.187774i | ||||
\(815\) | −34.1896 | + | 26.8870i | −1.19761 | + | 0.941811i | ||||
\(816\) | −1.44103 | + | 2.02364i | −0.0504462 | + | 0.0708417i | ||||
\(817\) | −9.78829 | − | 0.934669i | −0.342449 | − | 0.0326999i | ||||
\(818\) | −3.52299 | − | 24.5029i | −0.123178 | − | 0.856725i | ||||
\(819\) | 4.70467 | + | 0.687065i | 0.164395 | + | 0.0240080i | ||||
\(820\) | 13.2621 | − | 3.89410i | 0.463132 | − | 0.135988i | ||||
\(821\) | 14.3012 | + | 11.2466i | 0.499117 | + | 0.392510i | 0.835736 | − | 0.549131i | \(-0.185041\pi\) |
−0.336620 | + | 0.941641i | \(0.609284\pi\) | |||||||
\(822\) | 18.3762 | + | 3.54173i | 0.640945 | + | 0.123532i | ||||
\(823\) | 14.1189 | + | 7.27881i | 0.492155 | + | 0.253723i | 0.686393 | − | 0.727231i | \(-0.259193\pi\) |
−0.194238 | + | 0.980954i | \(0.562223\pi\) | |||||||
\(824\) | −4.00090 | + | 0.771110i | −0.139378 | + | 0.0268629i | ||||
\(825\) | −5.80791 | − | 1.70536i | −0.202206 | − | 0.0593729i | ||||
\(826\) | 24.3507 | − | 13.9871i | 0.847268 | − | 0.486672i | ||||
\(827\) | 30.3424 | 1.05511 | 0.527554 | − | 0.849521i | \(-0.323109\pi\) | ||||
0.527554 | + | 0.849521i | \(0.323109\pi\) | |||||||
\(828\) | −0.651062 | − | 4.75143i | −0.0226260 | − | 0.165124i | ||||
\(829\) | 22.3482 | + | 38.7083i | 0.776186 | + | 1.34439i | 0.934125 | + | 0.356945i | \(0.116182\pi\) |
−0.157939 | + | 0.987449i | \(0.550485\pi\) | |||||||
\(830\) | −33.5320 | + | 3.20192i | −1.16391 | + | 0.111140i | ||||
\(831\) | −10.6736 | + | 10.1773i | −0.370264 | + | 0.353046i | ||||
\(832\) | 1.17683 | + | 1.35813i | 0.0407991 | + | 0.0470846i | ||||
\(833\) | −2.55106 | + | 17.2019i | −0.0883888 | + | 0.596011i | ||||
\(834\) | −1.96439 | + | 2.26703i | −0.0680212 | + | 0.0785007i | ||||
\(835\) | 4.55621 | + | 3.58304i | 0.157674 | + | 0.123996i | ||||
\(836\) | −2.07974 | − | 1.98303i | −0.0719293 | − | 0.0685844i | ||||
\(837\) | −0.143847 | + | 3.01973i | −0.00497209 | + | 0.104377i | ||||
\(838\) | 25.4668 | + | 10.1954i | 0.879735 | + | 0.352193i | ||||
\(839\) | −23.0022 | − | 50.3679i | −0.794125 | − | 1.73889i | −0.664447 | − | 0.747336i | \(-0.731333\pi\) |
−0.129679 | − | 0.991556i | \(-0.541395\pi\) | |||||||
\(840\) | −1.40950 | + | 7.22704i | −0.0486324 | + | 0.249357i | ||||
\(841\) | 3.48757 | + | 24.2565i | 0.120261 | + | 0.836433i | ||||
\(842\) | 7.69349 | − | 3.96627i | 0.265135 | − | 0.136687i | ||||
\(843\) | −10.5512 | − | 10.0605i | −0.363401 | − | 0.346502i | ||||
\(844\) | 22.0576 | − | 8.83054i | 0.759255 | − | 0.303960i | ||||
\(845\) | 8.89356 | + | 25.6963i | 0.305948 | + | 0.883978i | ||||
\(846\) | −2.45246 | + | 1.57610i | −0.0843174 | + | 0.0541875i | ||||
\(847\) | −14.7577 | − | 6.77916i | −0.507082 | − | 0.232935i | ||||
\(848\) | 4.77734 | + | 1.40275i | 0.164055 | + | 0.0481708i | ||||
\(849\) | 7.78704 | + | 10.9354i | 0.267251 | + | 0.375301i | ||||
\(850\) | 3.41001 | + | 5.90630i | 0.116962 | + | 0.202585i | ||||
\(851\) | 22.6792 | − | 11.5025i | 0.777434 | − | 0.394299i | ||||
\(852\) | −0.857529 | + | 1.48528i | −0.0293785 | + | 0.0508850i | ||||
\(853\) | −4.73999 | + | 10.3791i | −0.162294 | + | 0.355375i | −0.973256 | − | 0.229725i | \(-0.926217\pi\) |
0.810961 | + | 0.585100i | \(0.198945\pi\) | |||||||
\(854\) | 2.89562 | − | 7.18675i | 0.0990860 | − | 0.245926i | ||||
\(855\) | 2.37520 | + | 2.74113i | 0.0812302 | + | 0.0937447i | ||||
\(856\) | −0.421103 | − | 8.84004i | −0.0143930 | − | 0.302146i | ||||
\(857\) | 5.65046 | + | 1.08904i | 0.193016 | + | 0.0372008i | 0.284843 | − | 0.958574i | \(-0.408059\pi\) |
−0.0918269 | + | 0.995775i | \(0.529271\pi\) | |||||||
\(858\) | −3.67857 | + | 1.47268i | −0.125584 | + | 0.0502764i | ||||
\(859\) | −0.373297 | + | 1.53875i | −0.0127367 | + | 0.0525015i | −0.977825 | − | 0.209422i | \(-0.932842\pi\) |
0.965089 | + | 0.261924i | \(0.0843569\pi\) | |||||||
\(860\) | −17.6640 | − | 11.3520i | −0.602337 | − | 0.387099i | ||||
\(861\) | 13.1266 | − | 0.596174i | 0.447355 | − | 0.0203176i | ||||
\(862\) | −11.1975 | − | 24.5191i | −0.381389 | − | 0.835125i | ||||
\(863\) | 21.0466 | + | 2.00970i | 0.716433 | + | 0.0684111i | 0.446905 | − | 0.894581i | \(-0.352526\pi\) |
0.269528 | + | 0.962993i | \(0.413132\pi\) | |||||||
\(864\) | −0.786053 | + | 0.618159i | −0.0267421 | + | 0.0210302i | ||||
\(865\) | 0.285645 | − | 5.99643i | 0.00971223 | − | 0.203885i | ||||
\(866\) | −7.07900 | + | 29.1800i | −0.240554 | + | 0.991577i | ||||
\(867\) | 1.54103 | − | 10.7181i | 0.0523360 | − | 0.364005i | ||||
\(868\) | −2.27043 | + | 7.66951i | −0.0770633 | + | 0.260320i | ||||
\(869\) | 29.1673 | − | 18.7447i | 0.989434 | − | 0.635871i | ||||
\(870\) | 5.79315 | − | 1.11654i | 0.196406 | − | 0.0378542i | ||||
\(871\) | −2.40657 | − | 9.92000i | −0.0815434 | − | 0.336126i | ||||
\(872\) | 13.6649 | − | 1.30484i | 0.462753 | − | 0.0441875i | ||||
\(873\) | −1.34034 | + | 2.32154i | −0.0453636 | + | 0.0785721i | ||||
\(874\) | −4.49486 | − | 4.34304i | −0.152041 | − | 0.146905i | ||||
\(875\) | −13.5024 | − | 9.66012i | −0.456463 | − | 0.326572i | ||||
\(876\) | −0.0935971 | + | 0.204949i | −0.00316235 | + | 0.00692459i | ||||
\(877\) | −17.6179 | + | 16.7987i | −0.594915 | + | 0.567250i | −0.926557 | − | 0.376155i | \(-0.877246\pi\) |
0.331642 | + | 0.943405i | \(0.392398\pi\) | |||||||
\(878\) | 1.49610 | − | 4.32268i | 0.0504908 | − | 0.145884i | ||||
\(879\) | −7.91528 | − | 4.08061i | −0.266976 | − | 0.137636i | ||||
\(880\) | −2.00702 | − | 5.79890i | −0.0676566 | − | 0.195481i | ||||
\(881\) | 3.47802 | − | 24.1902i | 0.117178 | − | 0.814988i | −0.843462 | − | 0.537189i | \(-0.819486\pi\) |
0.960639 | − | 0.277799i | \(-0.0896049\pi\) | |||||||
\(882\) | −2.93607 | + | 6.35449i | −0.0988627 | + | 0.213967i | ||||
\(883\) | 33.8365 | + | 21.7454i | 1.13869 | + | 0.731790i | 0.967355 | − | 0.253423i | \(-0.0815566\pi\) |
0.171332 | + | 0.985213i | \(0.445193\pi\) | |||||||
\(884\) | 4.14463 | + | 1.65926i | 0.139399 | + | 0.0558069i | ||||
\(885\) | 17.1343 | − | 24.0617i | 0.575962 | − | 0.808826i | ||||
\(886\) | 14.5344 | − | 20.4107i | 0.488292 | − | 0.685710i | ||||
\(887\) | −18.1450 | − | 7.26416i | −0.609249 | − | 0.243907i | 0.0464601 | − | 0.998920i | \(-0.485206\pi\) |
−0.655709 | + | 0.755014i | \(0.727630\pi\) | |||||||
\(888\) | −4.46066 | − | 2.86669i | −0.149690 | − | 0.0961999i | ||||
\(889\) | 41.4377 | + | 14.4445i | 1.38978 | + | 0.484455i | ||||
\(890\) | 5.07097 | − | 35.2694i | 0.169979 | − | 1.18223i | ||||
\(891\) | −0.721164 | − | 2.08367i | −0.0241599 | − | 0.0698054i | ||||
\(892\) | 12.0511 | + | 6.21276i | 0.403500 | + | 0.208019i | ||||
\(893\) | −1.24265 | + | 3.59039i | −0.0415836 | + | 0.120148i | ||||
\(894\) | −12.1783 | + | 11.6119i | −0.407302 | + | 0.388362i | ||||
\(895\) | −10.6814 | + | 23.3890i | −0.357040 | + | 0.781810i | ||||
\(896\) | −2.40909 | + | 1.09375i | −0.0804820 | + | 0.0365398i | ||||
\(897\) | −8.02209 | + | 3.15007i | −0.267850 | + | 0.105178i | ||||
\(898\) | 2.79626 | − | 4.84327i | 0.0933125 | − | 0.161622i | ||||
\(899\) | 6.37979 | − | 0.609196i | 0.212778 | − | 0.0203178i | ||||
\(900\) | 0.647218 | + | 2.66787i | 0.0215739 | + | 0.0889290i | ||||
\(901\) | 12.1458 | − | 2.34092i | 0.404636 | − | 0.0779873i | ||||
\(902\) | −9.21245 | + | 5.92048i | −0.306741 | + | 0.197130i | ||||
\(903\) | −13.7430 | − | 14.4773i | −0.457338 | − | 0.481774i | ||||
\(904\) | 0.950922 | − | 6.61381i | 0.0316272 | − | 0.219972i | ||||
\(905\) | −14.7626 | + | 60.8522i | −0.490725 | + | 2.02279i | ||||
\(906\) | 0.0563667 | − | 1.18328i | 0.00187266 | − | 0.0393120i | ||||
\(907\) | 10.0225 | − | 7.88178i | 0.332792 | − | 0.261710i | −0.437754 | − | 0.899095i | \(-0.644226\pi\) |
0.770546 | + | 0.637384i | \(0.219984\pi\) | |||||||
\(908\) | −21.1228 | − | 2.01698i | −0.700984 | − | 0.0669359i | ||||
\(909\) | −3.37402 | − | 7.38808i | −0.111909 | − | 0.245047i | ||||
\(910\) | 13.2185 | − | 0.600346i | 0.438189 | − | 0.0199013i | ||||
\(911\) | 5.29187 | + | 3.40088i | 0.175328 | + | 0.112676i | 0.625361 | − | 0.780335i | \(-0.284952\pi\) |
−0.450034 | + | 0.893012i | \(0.648588\pi\) | |||||||
\(912\) | −0.307257 | + | 1.26653i | −0.0101743 | + | 0.0419390i | ||||
\(913\) | 24.7759 | − | 9.91877i | 0.819962 | − | 0.328263i | ||||
\(914\) | 8.54958 | + | 1.64780i | 0.282795 | + | 0.0545042i | ||||
\(915\) | −0.387801 | − | 8.14095i | −0.0128203 | − | 0.269132i | ||||
\(916\) | 3.23879 | + | 3.73776i | 0.107013 | + | 0.123499i | ||||
\(917\) | −9.90225 | + | 1.40136i | −0.327001 | + | 0.0462770i | ||||
\(918\) | −1.03201 | + | 2.25979i | −0.0340615 | + | 0.0745842i | ||||
\(919\) | −10.6805 | + | 18.4991i | −0.352316 | + | 0.610229i | −0.986655 | − | 0.162826i | \(-0.947939\pi\) |
0.634339 | + | 0.773055i | \(0.281272\pi\) | |||||||
\(920\) | −4.28172 | − | 12.6415i | −0.141164 | − | 0.416778i | ||||
\(921\) | 3.12363 | + | 5.41028i | 0.102927 | + | 0.178275i | ||||
\(922\) | 2.18976 | + | 3.07509i | 0.0721159 | + | 0.101273i | ||||
\(923\) | 2.95722 | + | 0.868318i | 0.0973381 | + | 0.0285810i | ||||
\(924\) | −0.541671 | − | 5.80851i | −0.0178197 | − | 0.191086i | ||||
\(925\) | −12.2456 | + | 7.86979i | −0.402634 | + | 0.258757i | ||||
\(926\) | −3.19474 | − | 9.23060i | −0.104986 | − | 0.303336i | ||||
\(927\) | −3.78266 | + | 1.51435i | −0.124239 | + | 0.0497378i | ||||
\(928\) | 1.53425 | + | 1.46290i | 0.0503642 | + | 0.0480222i | ||||
\(929\) | −6.82820 | + | 3.52018i | −0.224026 | + | 0.115493i | −0.566586 | − | 0.824002i | \(-0.691736\pi\) |
0.342560 | + | 0.939496i | \(0.388706\pi\) | |||||||
\(930\) | 1.19737 | + | 8.32789i | 0.0392633 | + | 0.273082i | ||||
\(931\) | 2.11152 | + | 8.87516i | 0.0692023 | + | 0.290871i | ||||
\(932\) | −7.63066 | − | 16.7088i | −0.249951 | − | 0.547315i | ||||
\(933\) | 0.764478 | + | 0.306051i | 0.0250279 | + | 0.0100196i | ||||
\(934\) | 1.45545 | − | 30.5536i | 0.0476238 | − | 0.999746i | ||||
\(935\) | −11.0330 | − | 10.5200i | −0.360819 | − | 0.344040i | ||||
\(936\) | 1.41259 | + | 1.11087i | 0.0461718 | + | 0.0363099i | ||||
\(937\) | 6.50687 | − | 7.50932i | 0.212570 | − | 0.245319i | −0.639444 | − | 0.768838i | \(-0.720835\pi\) |
0.852014 | + | 0.523519i | \(0.175381\pi\) | |||||||
\(938\) | 15.0099 | + | 0.748318i | 0.490089 | + | 0.0244334i | ||||
\(939\) | −5.45178 | − | 6.29169i | −0.177912 | − | 0.205321i | ||||
\(940\) | −5.87182 | + | 5.59877i | −0.191518 | + | 0.182612i | ||||
\(941\) | 39.8104 | − | 3.80143i | 1.29778 | − | 0.123923i | 0.576805 | − | 0.816882i | \(-0.304299\pi\) |
0.720977 | + | 0.692959i | \(0.243693\pi\) | |||||||
\(942\) | 5.80615 | + | 10.0565i | 0.189175 | + | 0.327660i | ||||
\(943\) | −20.1223 | + | 12.7443i | −0.655273 | + | 0.415012i | ||||
\(944\) | 10.6140 | 0.345455 | ||||||||
\(945\) | −0.0163020 | + | 7.36319i | −0.000530303 | + | 0.239524i | ||||
\(946\) | 15.9618 | + | 4.68681i | 0.518963 | + | 0.152381i | ||||
\(947\) | −43.7682 | + | 8.43562i | −1.42227 | + | 0.274121i | −0.841638 | − | 0.540042i | \(-0.818408\pi\) |
−0.580636 | + | 0.814163i | \(0.697196\pi\) | |||||||
\(948\) | −13.9764 | − | 7.20533i | −0.453932 | − | 0.234018i | ||||
\(949\) | 0.397579 | + | 0.0766270i | 0.0129060 | + | 0.00248742i | ||||
\(950\) | 2.81234 | + | 2.21165i | 0.0912444 | + | 0.0717554i | ||||
\(951\) | 15.4865 | − | 4.54726i | 0.502185 | − | 0.147455i | ||||
\(952\) | −4.07448 | + | 5.15758i | −0.132055 | + | 0.167158i | ||||
\(953\) | 3.54955 | + | 24.6877i | 0.114981 | + | 0.799712i | 0.962953 | + | 0.269670i | \(0.0869148\pi\) |
−0.847971 | + | 0.530042i | \(0.822176\pi\) | |||||||
\(954\) | 4.95648 | + | 0.473287i | 0.160472 | + | 0.0153232i | ||||
\(955\) | −17.3840 | + | 24.4125i | −0.562534 | + | 0.789969i | ||||
\(956\) | −8.56007 | + | 6.73171i | −0.276852 | + | 0.217719i | ||||
\(957\) | −4.15465 | + | 2.14187i | −0.134301 | + | 0.0692369i | ||||
\(958\) | −6.95356 | + | 2.04175i | −0.224659 | + | 0.0659659i | ||||
\(959\) | 48.0921 | + | 11.7798i | 1.55297 | + | 0.380390i | ||||
\(960\) | −1.82250 | + | 2.10327i | −0.0588208 | + | 0.0678829i | ||||
\(961\) | −1.04017 | − | 21.8358i | −0.0335538 | − | 0.704380i | ||||
\(962\) | −3.11654 | + | 9.00466i | −0.100481 | + | 0.290322i | ||||
\(963\) | −2.08648 | − | 8.60059i | −0.0672359 | − | 0.277150i | ||||
\(964\) | 12.9568 | + | 18.1953i | 0.417310 | + | 0.586030i | ||||
\(965\) | 10.0331 | 0.322976 | ||||||||
\(966\) | −1.09445 | − | 12.6413i | −0.0352135 | − | 0.406727i | ||||
\(967\) | 10.0678 | 0.323760 | 0.161880 | − | 0.986810i | \(-0.448244\pi\) | ||||
0.161880 | + | 0.986810i | \(0.448244\pi\) | |||||||
\(968\) | −3.56054 | − | 5.00008i | −0.114440 | − | 0.160709i | ||||
\(969\) | 0.763317 | + | 3.14643i | 0.0245213 | + | 0.101078i | ||||
\(970\) | −2.44006 | + | 7.05009i | −0.0783456 | + | 0.226365i | ||||
\(971\) | 1.61926 | + | 33.9924i | 0.0519644 | + | 1.09087i | 0.862785 | + | 0.505571i | \(0.168718\pi\) |
−0.810820 | + | 0.585295i | \(0.800979\pi\) | |||||||
\(972\) | −0.654861 | + | 0.755750i | −0.0210047 | + | 0.0242407i | ||||
\(973\) | −5.48950 | + | 5.73176i | −0.175985 | + | 0.183752i | ||||
\(974\) | 16.6719 | − | 4.89532i | 0.534203 | − | 0.156856i | ||||
\(975\) | 4.38497 | − | 2.26061i | 0.140431 | − | 0.0723975i | ||||
\(976\) | 2.30198 | − | 1.81030i | 0.0736846 | − | 0.0579462i | ||||
\(977\) | 4.30756 | − | 6.04912i | 0.137811 | − | 0.193529i | −0.739903 | − | 0.672714i | \(-0.765128\pi\) |
0.877714 | + | 0.479185i | \(0.159068\pi\) | |||||||
\(978\) | −15.5580 | − | 1.48561i | −0.497490 | − | 0.0475045i | ||||
\(979\) | 4.01762 | + | 27.9432i | 0.128404 | + | 0.893067i | ||||
\(980\) | −4.67665 | + | 18.9115i | −0.149390 | + | 0.604107i | ||||
\(981\) | 13.1710 | − | 3.86736i | 0.420519 | − | 0.123475i | ||||
\(982\) | −31.3931 | − | 24.6878i | −1.00180 | − | 0.787820i | ||||
\(983\) | −20.5320 | − | 3.95722i | −0.654870 | − | 0.126216i | −0.149016 | − | 0.988835i | \(-0.547611\pi\) |
−0.505854 | + | 0.862619i | \(0.668823\pi\) | |||||||
\(984\) | 4.41442 | + | 2.27579i | 0.140727 | + | 0.0725496i | ||||
\(985\) | 26.9505 | − | 5.19429i | 0.858716 | − | 0.165504i | ||||
\(986\) | 5.05315 | + | 1.48374i | 0.160925 | + | 0.0472518i | ||||
\(987\) | −6.68820 | + | 3.84171i | −0.212888 | + | 0.122283i | ||||
\(988\) | 2.34205 | 0.0745107 | ||||||||
\(989\) | 34.6493 | + | 10.4237i | 1.10178 | + | 0.331455i | ||||
\(990\) | −3.06820 | − | 5.31428i | −0.0975138 | − | 0.168899i | ||||
\(991\) | −16.8628 | + | 1.61021i | −0.535666 | + | 0.0511499i | −0.359384 | − | 0.933190i | \(-0.617013\pi\) |
−0.176282 | + | 0.984340i | \(0.556407\pi\) | |||||||
\(992\) | −2.18796 | + | 2.08621i | −0.0694677 | + | 0.0662374i | ||||
\(993\) | 11.2966 | + | 13.0370i | 0.358488 | + | 0.413717i | ||||
\(994\) | −2.46167 | + | 3.81185i | −0.0780793 | + | 0.120904i | ||||
\(995\) | −47.8356 | + | 55.2053i | −1.51649 | + | 1.75012i | ||||
\(996\) | −9.51404 | − | 7.48193i | −0.301464 | − | 0.237074i | ||||
\(997\) | −35.9915 | − | 34.3178i | −1.13986 | − | 1.08686i | −0.995249 | − | 0.0973668i | \(-0.968958\pi\) |
−0.144612 | − | 0.989488i | \(-0.546194\pi\) | |||||||
\(998\) | −0.995712 | + | 20.9026i | −0.0315187 | + | 0.661659i | ||||
\(999\) | −4.92257 | − | 1.97070i | −0.155743 | − | 0.0623502i |
(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 | 966.2.y.d.121.7 | ✓ | 160 | |
7.4 | even | 3 | inner | 966.2.y.d.949.2 | yes | 160 | |
23.4 | even | 11 | inner | 966.2.y.d.625.2 | yes | 160 | |
161.4 | even | 33 | inner | 966.2.y.d.487.7 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.y.d.121.7 | ✓ | 160 | 1.1 | even | 1 | trivial | |
966.2.y.d.487.7 | yes | 160 | 161.4 | even | 33 | inner | |
966.2.y.d.625.2 | yes | 160 | 23.4 | even | 11 | inner | |
966.2.y.d.949.2 | yes | 160 | 7.4 | even | 3 | inner |