Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [416,2,Mod(99,416)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(416, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("416.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 416 = 2^{5} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 416.bi (of order \(8\), degree \(4\), 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: | \(3.32177672409\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 99.19 | ||
Character | \(\chi\) | \(=\) | 416.99 |
Dual form | 416.2.bi.a.395.19 |
$q$-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 \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(287\) | \(353\) |
\(\chi(n)\) | \(e\left(\frac{3}{8}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.717929 | − | 1.21843i | −0.507653 | − | 0.861562i | ||||
\(3\) | 0.172072 | − | 0.415418i | 0.0993457 | − | 0.239842i | −0.866391 | − | 0.499367i | \(-0.833566\pi\) |
0.965736 | + | 0.259525i | \(0.0835660\pi\) | |||||||
\(4\) | −0.969155 | + | 1.74950i | −0.484577 | + | 0.874748i | ||||
\(5\) | −0.252815 | + | 0.610350i | −0.113062 | + | 0.272957i | −0.970275 | − | 0.242006i | \(-0.922194\pi\) |
0.857212 | + | 0.514963i | \(0.172194\pi\) | |||||||
\(6\) | −0.629694 | + | 0.0885829i | −0.257072 | + | 0.0361638i | ||||
\(7\) | −3.40059 | −1.28530 | −0.642650 | − | 0.766160i | \(-0.722165\pi\) | ||||
−0.642650 | + | 0.766160i | \(0.722165\pi\) | |||||||
\(8\) | 2.82743 | − | 0.0751652i | 0.999647 | − | 0.0265749i | ||||
\(9\) | 1.97836 | + | 1.97836i | 0.659452 | + | 0.659452i | ||||
\(10\) | 0.925174 | − | 0.130150i | 0.292566 | − | 0.0411570i | ||||
\(11\) | −1.70054 | − | 0.704385i | −0.512731 | − | 0.212380i | 0.111290 | − | 0.993788i | \(-0.464502\pi\) |
−0.624020 | + | 0.781408i | \(0.714502\pi\) | |||||||
\(12\) | 0.560008 | + | 0.703643i | 0.161660 | + | 0.203124i | ||||
\(13\) | 3.28856 | + | 1.47831i | 0.912082 | + | 0.410009i | ||||
\(14\) | 2.44138 | + | 4.14338i | 0.652486 | + | 1.10737i | ||||
\(15\) | 0.210048 | + | 0.210048i | 0.0542342 | + | 0.0542342i | ||||
\(16\) | −2.12148 | − | 3.39107i | −0.530369 | − | 0.847767i | ||||
\(17\) | 2.30613 | 0.559318 | 0.279659 | − | 0.960099i | \(-0.409779\pi\) | ||||
0.279659 | + | 0.960099i | \(0.409779\pi\) | |||||||
\(18\) | 0.990174 | − | 3.83081i | 0.233386 | − | 0.902932i | ||||
\(19\) | 2.92152 | + | 7.05316i | 0.670242 | + | 1.61811i | 0.781200 | + | 0.624281i | \(0.214608\pi\) |
−0.110958 | + | 0.993825i | \(0.535392\pi\) | |||||||
\(20\) | −0.822788 | − | 1.03382i | −0.183981 | − | 0.231170i | ||||
\(21\) | −0.585145 | + | 1.41266i | −0.127689 | + | 0.308269i | ||||
\(22\) | 0.362619 | + | 2.57769i | 0.0773106 | + | 0.549564i | ||||
\(23\) | 1.96093 | + | 1.96093i | 0.408882 | + | 0.408882i | 0.881349 | − | 0.472466i | \(-0.156636\pi\) |
−0.472466 | + | 0.881349i | \(0.656636\pi\) | |||||||
\(24\) | 0.455296 | − | 1.18750i | 0.0929368 | − | 0.242397i | ||||
\(25\) | 3.22692 | + | 3.22692i | 0.645384 | + | 0.645384i | ||||
\(26\) | −0.559734 | − | 5.06820i | −0.109773 | − | 0.993957i | ||||
\(27\) | 2.40852 | − | 0.997641i | 0.463520 | − | 0.191996i | ||||
\(28\) | 3.29569 | − | 5.94931i | 0.622828 | − | 1.12431i | ||||
\(29\) | 0.820481 | + | 0.339854i | 0.152359 | + | 0.0631093i | 0.457560 | − | 0.889179i | \(-0.348724\pi\) |
−0.305201 | + | 0.952288i | \(0.598724\pi\) | |||||||
\(30\) | 0.105130 | − | 0.406729i | 0.0191940 | − | 0.0742582i | ||||
\(31\) | −1.78963 | + | 1.78963i | −0.321428 | + | 0.321428i | −0.849315 | − | 0.527887i | \(-0.822984\pi\) |
0.527887 | + | 0.849315i | \(0.322984\pi\) | |||||||
\(32\) | −2.60871 | + | 5.01942i | −0.461160 | + | 0.887317i | ||||
\(33\) | −0.585228 | + | 0.585228i | −0.101875 | + | 0.101875i | ||||
\(34\) | −1.65564 | − | 2.80986i | −0.283939 | − | 0.481887i | ||||
\(35\) | 0.859720 | − | 2.07555i | 0.145319 | − | 0.350832i | ||||
\(36\) | −5.37846 | + | 1.54379i | −0.896411 | + | 0.257299i | ||||
\(37\) | −6.76868 | − | 2.80368i | −1.11276 | − | 0.460922i | −0.250876 | − | 0.968019i | \(-0.580719\pi\) |
−0.861889 | + | 0.507097i | \(0.830719\pi\) | |||||||
\(38\) | 6.49636 | − | 8.62334i | 1.05385 | − | 1.39889i | ||||
\(39\) | 1.17998 | − | 1.11175i | 0.188949 | − | 0.178023i | ||||
\(40\) | −0.668940 | + | 1.74472i | −0.105769 | + | 0.275865i | ||||
\(41\) | 5.14448i | 0.803433i | 0.915764 | + | 0.401716i | \(0.131586\pi\) | ||||
−0.915764 | + | 0.401716i | \(0.868414\pi\) | |||||||
\(42\) | 2.14133 | − | 0.301234i | 0.330414 | − | 0.0464814i | ||||
\(43\) | 0.493483 | − | 0.204407i | 0.0752554 | − | 0.0311718i | −0.344738 | − | 0.938699i | \(-0.612032\pi\) |
0.419994 | + | 0.907527i | \(0.362032\pi\) | |||||||
\(44\) | 2.88040 | − | 2.29242i | 0.434237 | − | 0.345596i | ||||
\(45\) | −1.70765 | + | 0.707332i | −0.254561 | + | 0.105443i | ||||
\(46\) | 0.981451 | − | 3.79707i | 0.144707 | − | 0.559847i | ||||
\(47\) | 1.59703 | − | 1.59703i | 0.232951 | − | 0.232951i | −0.580972 | − | 0.813923i | \(-0.697328\pi\) |
0.813923 | + | 0.580972i | \(0.197328\pi\) | |||||||
\(48\) | −1.77376 | + | 0.297793i | −0.256020 | + | 0.0429827i | ||||
\(49\) | 4.56399 | 0.651998 | ||||||||
\(50\) | 1.61508 | − | 6.24849i | 0.228407 | − | 0.883670i | ||||
\(51\) | 0.396819 | − | 0.958006i | 0.0555658 | − | 0.134148i | ||||
\(52\) | −5.77342 | + | 4.32061i | −0.800629 | + | 0.599161i | ||||
\(53\) | 5.87165 | − | 2.43212i | 0.806533 | − | 0.334077i | 0.0589634 | − | 0.998260i | \(-0.481220\pi\) |
0.747570 | + | 0.664183i | \(0.231220\pi\) | |||||||
\(54\) | −2.94470 | − | 2.21838i | −0.400723 | − | 0.301883i | ||||
\(55\) | 0.859843 | − | 0.859843i | 0.115941 | − | 0.115941i | ||||
\(56\) | −9.61491 | + | 0.255606i | −1.28485 | + | 0.0341568i | ||||
\(57\) | 3.43272 | 0.454675 | ||||||||
\(58\) | −0.174958 | − | 1.24369i | −0.0229731 | − | 0.163305i | ||||
\(59\) | 2.54758 | − | 6.15040i | 0.331666 | − | 0.800714i | −0.666794 | − | 0.745242i | \(-0.732334\pi\) |
0.998460 | − | 0.0554714i | \(-0.0176662\pi\) | |||||||
\(60\) | −0.571048 | + | 0.163909i | −0.0737219 | + | 0.0211606i | ||||
\(61\) | −5.74492 | − | 2.37962i | −0.735562 | − | 0.304680i | −0.0167264 | − | 0.999860i | \(-0.505324\pi\) |
−0.718835 | + | 0.695181i | \(0.755324\pi\) | |||||||
\(62\) | 3.46538 | + | 0.895717i | 0.440103 | + | 0.113756i | ||||
\(63\) | −6.72757 | − | 6.72757i | −0.847595 | − | 0.847595i | ||||
\(64\) | 7.98870 | − | 0.425049i | 0.998588 | − | 0.0531311i | ||||
\(65\) | −1.73368 | + | 1.63343i | −0.215037 | + | 0.202602i | ||||
\(66\) | 1.13321 | + | 0.292908i | 0.139489 | + | 0.0360545i | ||||
\(67\) | −2.69444 | + | 1.11607i | −0.329178 | + | 0.136350i | −0.541151 | − | 0.840926i | \(-0.682011\pi\) |
0.211973 | + | 0.977276i | \(0.432011\pi\) | |||||||
\(68\) | −2.23499 | + | 4.03456i | −0.271033 | + | 0.489262i | ||||
\(69\) | 1.15203 | − | 0.477185i | 0.138688 | − | 0.0574463i | ||||
\(70\) | −3.14613 | + | 0.442586i | −0.376035 | + | 0.0528992i | ||||
\(71\) | 7.20252i | 0.854782i | 0.904067 | + | 0.427391i | \(0.140567\pi\) | ||||
−0.904067 | + | 0.427391i | \(0.859433\pi\) | |||||||
\(72\) | 5.74237 | + | 5.44496i | 0.676744 | + | 0.641695i | ||||
\(73\) | 6.22518 | 0.728602 | 0.364301 | − | 0.931281i | \(-0.381308\pi\) | ||||
0.364301 | + | 0.931281i | \(0.381308\pi\) | |||||||
\(74\) | 1.44334 | + | 10.2600i | 0.167785 | + | 1.19270i | ||||
\(75\) | 1.89578 | − | 0.785259i | 0.218906 | − | 0.0906739i | ||||
\(76\) | −15.1709 | − | 1.72443i | −1.74022 | − | 0.197805i | ||||
\(77\) | 5.78282 | + | 2.39532i | 0.659013 | + | 0.272972i | ||||
\(78\) | −2.20174 | − | 0.639571i | −0.249298 | − | 0.0724172i | ||||
\(79\) | −16.4481 | −1.85056 | −0.925280 | − | 0.379285i | \(-0.876170\pi\) | ||||
−0.925280 | + | 0.379285i | \(0.876170\pi\) | |||||||
\(80\) | 2.60608 | − | 0.437531i | 0.291369 | − | 0.0489174i | ||||
\(81\) | 7.22125i | 0.802361i | ||||||||
\(82\) | 6.26820 | − | 3.69337i | 0.692207 | − | 0.407865i | ||||
\(83\) | 0.384907 | + | 0.929247i | 0.0422490 | + | 0.101998i | 0.943595 | − | 0.331101i | \(-0.107420\pi\) |
−0.901346 | + | 0.433099i | \(0.857420\pi\) | |||||||
\(84\) | −1.90436 | − | 2.39280i | −0.207782 | − | 0.261076i | ||||
\(85\) | −0.583024 | + | 1.40754i | −0.0632378 | + | 0.152670i | ||||
\(86\) | −0.603342 | − | 0.454525i | −0.0650601 | − | 0.0490127i | ||||
\(87\) | 0.282363 | − | 0.282363i | 0.0302725 | − | 0.0302725i | ||||
\(88\) | −4.86109 | − | 1.86378i | −0.518194 | − | 0.198679i | ||||
\(89\) | 9.50377i | 1.00740i | 0.863879 | + | 0.503699i | \(0.168028\pi\) | ||||
−0.863879 | + | 0.503699i | \(0.831972\pi\) | |||||||
\(90\) | 2.08781 | + | 1.57284i | 0.220074 | + | 0.165792i | ||||
\(91\) | −11.1830 | − | 5.02711i | −1.17230 | − | 0.526984i | ||||
\(92\) | −5.33109 | + | 1.53020i | −0.555804 | + | 0.159534i | ||||
\(93\) | 0.435500 | + | 1.05139i | 0.0451593 | + | 0.109024i | ||||
\(94\) | −3.09243 | − | 0.799318i | −0.318960 | − | 0.0824434i | ||||
\(95\) | −5.04350 | −0.517453 | ||||||||
\(96\) | 1.63627 | + | 1.94741i | 0.167001 | + | 0.198756i | ||||
\(97\) | −8.56996 | − | 8.56996i | −0.870148 | − | 0.870148i | 0.122340 | − | 0.992488i | \(-0.460960\pi\) |
−0.992488 | + | 0.122340i | \(0.960960\pi\) | |||||||
\(98\) | −3.27662 | − | 5.56091i | −0.330989 | − | 0.561737i | ||||
\(99\) | −1.97074 | − | 4.75779i | −0.198067 | − | 0.478176i | ||||
\(100\) | −8.77288 | + | 2.51810i | −0.877288 | + | 0.251810i | ||||
\(101\) | 13.9080 | − | 5.76089i | 1.38390 | − | 0.573230i | 0.438379 | − | 0.898790i | \(-0.355553\pi\) |
0.945521 | + | 0.325560i | \(0.105553\pi\) | |||||||
\(102\) | −1.45215 | + | 0.204283i | −0.143785 | + | 0.0202271i | ||||
\(103\) | −4.88383 | + | 4.88383i | −0.481219 | + | 0.481219i | −0.905521 | − | 0.424302i | \(-0.860519\pi\) |
0.424302 | + | 0.905521i | \(0.360519\pi\) | |||||||
\(104\) | 9.40928 | + | 3.93262i | 0.922655 | + | 0.385625i | ||||
\(105\) | −0.714287 | − | 0.714287i | −0.0697072 | − | 0.0697072i | ||||
\(106\) | −7.17880 | − | 5.40812i | −0.697267 | − | 0.525283i | ||||
\(107\) | −1.35736 | − | 3.27695i | −0.131220 | − | 0.316794i | 0.844590 | − | 0.535414i | \(-0.179844\pi\) |
−0.975810 | + | 0.218620i | \(0.929844\pi\) | |||||||
\(108\) | −0.588858 | + | 5.18056i | −0.0566629 | + | 0.498500i | ||||
\(109\) | −8.36265 | + | 3.46392i | −0.800996 | + | 0.331784i | −0.745355 | − | 0.666667i | \(-0.767720\pi\) |
−0.0556410 | + | 0.998451i | \(0.517720\pi\) | |||||||
\(110\) | −1.66497 | − | 0.430354i | −0.158748 | − | 0.0410326i | ||||
\(111\) | −2.32940 | + | 2.32940i | −0.221097 | + | 0.221097i | ||||
\(112\) | 7.21427 | + | 11.5316i | 0.681684 | + | 1.08964i | ||||
\(113\) | 19.6832i | 1.85164i | 0.377970 | + | 0.925818i | \(0.376622\pi\) | ||||
−0.377970 | + | 0.925818i | \(0.623378\pi\) | |||||||
\(114\) | −2.46445 | − | 4.18254i | −0.230817 | − | 0.391731i | ||||
\(115\) | −1.69261 | + | 0.701101i | −0.157836 | + | 0.0653780i | ||||
\(116\) | −1.38975 | + | 1.10606i | −0.129035 | + | 0.102695i | ||||
\(117\) | 3.58132 | + | 9.43056i | 0.331093 | + | 0.871856i | ||||
\(118\) | −9.32283 | + | 1.31150i | −0.858236 | + | 0.120733i | ||||
\(119\) | −7.84218 | −0.718892 | ||||||||
\(120\) | 0.609684 | + | 0.578108i | 0.0556563 | + | 0.0527738i | ||||
\(121\) | −5.38251 | − | 5.38251i | −0.489319 | − | 0.489319i | ||||
\(122\) | 1.22504 | + | 8.70820i | 0.110910 | + | 0.788403i | ||||
\(123\) | 2.13711 | + | 0.885220i | 0.192697 | + | 0.0798176i | ||||
\(124\) | −1.39653 | − | 4.86539i | −0.125412 | − | 0.436925i | ||||
\(125\) | −5.83712 | + | 2.41781i | −0.522088 | + | 0.216256i | ||||
\(126\) | −3.36717 | + | 13.0270i | −0.299971 | + | 1.16054i | ||||
\(127\) | 17.8776 | 1.58638 | 0.793190 | − | 0.608975i | \(-0.208419\pi\) | ||||
0.793190 | + | 0.608975i | \(0.208419\pi\) | |||||||
\(128\) | −6.25322 | − | 9.42854i | −0.552711 | − | 0.833373i | ||||
\(129\) | − | 0.240174i | − | 0.0211462i | ||||||
\(130\) | 3.23489 | + | 0.939686i | 0.283719 | + | 0.0824159i | ||||
\(131\) | 6.64831 | − | 16.0504i | 0.580866 | − | 1.40233i | −0.311164 | − | 0.950356i | \(-0.600719\pi\) |
0.892029 | − | 0.451977i | \(-0.149281\pi\) | |||||||
\(132\) | −0.456678 | − | 1.59103i | −0.0397487 | − | 0.138482i | ||||
\(133\) | −9.93487 | − | 23.9849i | −0.861462 | − | 2.07975i | ||||
\(134\) | 3.29427 | + | 2.48173i | 0.284582 | + | 0.214389i | ||||
\(135\) | 1.72226i | 0.148228i | ||||||||
\(136\) | 6.52041 | − | 0.173341i | 0.559120 | − | 0.0148638i | ||||
\(137\) | 8.75003 | 0.747566 | 0.373783 | − | 0.927516i | \(-0.378061\pi\) | ||||
0.373783 | + | 0.927516i | \(0.378061\pi\) | |||||||
\(138\) | −1.40849 | − | 1.06108i | −0.119899 | − | 0.0903252i | ||||
\(139\) | 0.706590 | + | 1.70586i | 0.0599322 | + | 0.144689i | 0.951009 | − | 0.309164i | \(-0.100049\pi\) |
−0.891077 | + | 0.453853i | \(0.850049\pi\) | |||||||
\(140\) | 2.79796 | + | 3.51561i | 0.236471 | + | 0.297123i | ||||
\(141\) | −0.388631 | − | 0.938239i | −0.0327286 | − | 0.0790139i | ||||
\(142\) | 8.77579 | − | 5.17090i | 0.736448 | − | 0.433932i | ||||
\(143\) | −4.55101 | − | 4.83032i | −0.380575 | − | 0.403932i | ||||
\(144\) | 2.51170 | − | 10.9058i | 0.209308 | − | 0.908815i | ||||
\(145\) | −0.414860 | + | 0.414860i | −0.0344523 | + | 0.0344523i | ||||
\(146\) | −4.46924 | − | 7.58496i | −0.369877 | − | 0.627736i | ||||
\(147\) | 0.785333 | − | 1.89596i | 0.0647732 | − | 0.156376i | ||||
\(148\) | 11.4649 | − | 9.12459i | 0.942412 | − | 0.750037i | ||||
\(149\) | 1.40665 | + | 0.582652i | 0.115237 | + | 0.0477327i | 0.439557 | − | 0.898215i | \(-0.355135\pi\) |
−0.324320 | + | 0.945947i | \(0.605135\pi\) | |||||||
\(150\) | −2.31782 | − | 1.74612i | −0.189250 | − | 0.142570i | ||||
\(151\) | − | 3.45100i | − | 0.280838i | −0.990092 | − | 0.140419i | \(-0.955155\pi\) | ||
0.990092 | − | 0.140419i | \(-0.0448450\pi\) | |||||||
\(152\) | 8.79053 | + | 19.7227i | 0.713006 | + | 1.59972i | ||||
\(153\) | 4.56234 | + | 4.56234i | 0.368843 | + | 0.368843i | ||||
\(154\) | −1.23312 | − | 8.76564i | −0.0993674 | − | 0.706356i | ||||
\(155\) | −0.639856 | − | 1.54475i | −0.0513945 | − | 0.124077i | ||||
\(156\) | 0.801418 | + | 3.14184i | 0.0641648 | + | 0.251548i | ||||
\(157\) | 13.4412 | + | 5.56752i | 1.07272 | + | 0.444336i | 0.847951 | − | 0.530075i | \(-0.177836\pi\) |
0.224772 | + | 0.974411i | \(0.427836\pi\) | |||||||
\(158\) | 11.8086 | + | 20.0409i | 0.939442 | + | 1.59437i | ||||
\(159\) | − | 2.85769i | − | 0.226629i | ||||||
\(160\) | −2.40408 | − | 2.86122i | −0.190059 | − | 0.226199i | ||||
\(161\) | −6.66831 | − | 6.66831i | −0.525537 | − | 0.525537i | ||||
\(162\) | 8.79861 | − | 5.18435i | 0.691284 | − | 0.407321i | ||||
\(163\) | −6.27132 | − | 15.1403i | −0.491208 | − | 1.18588i | −0.954106 | − | 0.299469i | \(-0.903191\pi\) |
0.462899 | − | 0.886411i | \(-0.346809\pi\) | |||||||
\(164\) | −9.00025 | − | 4.98580i | −0.702801 | − | 0.389325i | ||||
\(165\) | −0.209239 | − | 0.505149i | −0.0162893 | − | 0.0393258i | ||||
\(166\) | 0.855889 | − | 1.13612i | 0.0664299 | − | 0.0881798i | ||||
\(167\) | 14.6308 | 1.13216 | 0.566081 | − | 0.824349i | \(-0.308459\pi\) | ||||
0.566081 | + | 0.824349i | \(0.308459\pi\) | |||||||
\(168\) | −1.54827 | + | 4.03819i | −0.119452 | + | 0.311553i | ||||
\(169\) | 8.62922 | + | 9.72300i | 0.663786 | + | 0.747923i | ||||
\(170\) | 2.13357 | − | 0.300142i | 0.163637 | − | 0.0230199i | ||||
\(171\) | −8.17387 | + | 19.7335i | −0.625072 | + | 1.50906i | ||||
\(172\) | −0.120651 | + | 1.06145i | −0.00919959 | + | 0.0809347i | ||||
\(173\) | −20.7811 | − | 8.60780i | −1.57996 | − | 0.654439i | −0.591549 | − | 0.806269i | \(-0.701483\pi\) |
−0.988407 | + | 0.151831i | \(0.951483\pi\) | |||||||
\(174\) | −0.546757 | − | 0.141324i | −0.0414495 | − | 0.0107137i | ||||
\(175\) | −10.9734 | − | 10.9734i | −0.829513 | − | 0.829513i | ||||
\(176\) | 1.21903 | + | 7.26097i | 0.0918880 | + | 0.547316i | ||||
\(177\) | −2.11662 | − | 2.11662i | −0.159095 | − | 0.159095i | ||||
\(178\) | 11.5797 | − | 6.82303i | 0.867935 | − | 0.511408i | ||||
\(179\) | 7.07175 | − | 17.0727i | 0.528567 | − | 1.27607i | −0.403895 | − | 0.914805i | \(-0.632344\pi\) |
0.932462 | − | 0.361268i | \(-0.117656\pi\) | |||||||
\(180\) | 0.417503 | − | 3.67304i | 0.0311188 | − | 0.273772i | ||||
\(181\) | −4.48926 | − | 10.8380i | −0.333684 | − | 0.805584i | −0.998294 | − | 0.0583932i | \(-0.981402\pi\) |
0.664610 | − | 0.747190i | \(-0.268598\pi\) | |||||||
\(182\) | 1.90342 | + | 17.2349i | 0.141091 | + | 1.27753i | ||||
\(183\) | −1.97708 | + | 1.97708i | −0.146150 | + | 0.146150i | ||||
\(184\) | 5.69178 | + | 5.39699i | 0.419604 | + | 0.397872i | ||||
\(185\) | 3.42245 | − | 3.42245i | 0.251624 | − | 0.251624i | ||||
\(186\) | 0.968390 | − | 1.28545i | 0.0710058 | − | 0.0942539i | ||||
\(187\) | −3.92165 | − | 1.62440i | −0.286779 | − | 0.118788i | ||||
\(188\) | 1.24623 | + | 4.34177i | 0.0908906 | + | 0.316656i | ||||
\(189\) | −8.19037 | + | 3.39256i | −0.595762 | + | 0.246773i | ||||
\(190\) | 3.62088 | + | 6.14517i | 0.262686 | + | 0.445817i | ||||
\(191\) | 13.3198i | 0.963785i | 0.876230 | + | 0.481892i | \(0.160050\pi\) | ||||
−0.876230 | + | 0.481892i | \(0.839950\pi\) | |||||||
\(192\) | 1.19806 | − | 3.39179i | 0.0864623 | − | 0.244781i | ||||
\(193\) | 8.91036 | − | 8.91036i | 0.641382 | − | 0.641382i | −0.309513 | − | 0.950895i | \(-0.600166\pi\) |
0.950895 | + | 0.309513i | \(0.100166\pi\) | |||||||
\(194\) | −4.28929 | + | 16.5945i | −0.307953 | + | 1.19142i | ||||
\(195\) | 0.380239 | + | 1.00127i | 0.0272295 | + | 0.0717025i | ||||
\(196\) | −4.42321 | + | 7.98468i | −0.315944 | + | 0.570334i | ||||
\(197\) | 8.50167 | − | 20.5249i | 0.605719 | − | 1.46234i | −0.261895 | − | 0.965096i | \(-0.584347\pi\) |
0.867614 | − | 0.497239i | \(-0.165653\pi\) | |||||||
\(198\) | −4.38219 | + | 5.81697i | −0.311429 | + | 0.413394i | ||||
\(199\) | −11.1716 | + | 11.1716i | −0.791934 | + | 0.791934i | −0.981808 | − | 0.189875i | \(-0.939192\pi\) |
0.189875 | + | 0.981808i | \(0.439192\pi\) | |||||||
\(200\) | 9.36644 | + | 8.88134i | 0.662308 | + | 0.628005i | ||||
\(201\) | 1.31136i | 0.0924963i | ||||||||
\(202\) | −17.0042 | − | 12.8101i | −1.19641 | − | 0.901314i | ||||
\(203\) | −2.79012 | − | 1.15570i | −0.195828 | − | 0.0811145i | ||||
\(204\) | 1.29145 | + | 1.62269i | 0.0904195 | + | 0.113611i | ||||
\(205\) | −3.13993 | − | 1.30060i | −0.219303 | − | 0.0908381i | ||||
\(206\) | 9.45687 | + | 2.44437i | 0.658891 | + | 0.170308i | ||||
\(207\) | 7.75884i | 0.539277i | ||||||||
\(208\) | −1.96356 | − | 14.2879i | −0.136148 | − | 0.990688i | ||||
\(209\) | − | 14.0520i | − | 0.971999i | ||||||
\(210\) | −0.357503 | + | 1.38312i | −0.0246700 | + | 0.0954442i | ||||
\(211\) | 24.6305 | + | 10.2023i | 1.69563 | + | 0.702354i | 0.999873 | − | 0.0159218i | \(-0.00506830\pi\) |
0.695759 | + | 0.718276i | \(0.255068\pi\) | |||||||
\(212\) | −1.43556 | + | 12.6295i | −0.0985945 | + | 0.867400i | ||||
\(213\) | 2.99206 | + | 1.23935i | 0.205012 | + | 0.0849189i | ||||
\(214\) | −3.01825 | + | 4.00646i | −0.206323 | + | 0.273876i | ||||
\(215\) | 0.352875i | 0.0240658i | ||||||||
\(216\) | 6.73492 | − | 3.00179i | 0.458254 | − | 0.204246i | ||||
\(217\) | 6.08580 | − | 6.08580i | 0.413131 | − | 0.413131i | ||||
\(218\) | 10.2243 | + | 7.70247i | 0.692480 | + | 0.521677i | ||||
\(219\) | 1.07118 | − | 2.58605i | 0.0723835 | − | 0.174749i | ||||
\(220\) | 0.670971 | + | 2.33761i | 0.0452369 | + | 0.157602i | ||||
\(221\) | 7.58383 | + | 3.40916i | 0.510143 | + | 0.229325i | ||||
\(222\) | 4.51056 | + | 1.16587i | 0.302729 | + | 0.0782482i | ||||
\(223\) | 13.5893 | − | 13.5893i | 0.910005 | − | 0.910005i | −0.0862671 | − | 0.996272i | \(-0.527494\pi\) |
0.996272 | + | 0.0862671i | \(0.0274939\pi\) | |||||||
\(224\) | 8.87116 | − | 17.0690i | 0.592729 | − | 1.14047i | ||||
\(225\) | 12.7680i | 0.851201i | ||||||||
\(226\) | 23.9826 | − | 14.1311i | 1.59530 | − | 0.939988i | ||||
\(227\) | 25.5762 | − | 10.5940i | 1.69755 | − | 0.703150i | 0.697643 | − | 0.716446i | \(-0.254232\pi\) |
0.999912 | + | 0.0132956i | \(0.00423223\pi\) | |||||||
\(228\) | −3.32684 | + | 6.00553i | −0.220325 | + | 0.397726i | ||||
\(229\) | −16.7224 | − | 6.92665i | −1.10505 | − | 0.457726i | −0.245818 | − | 0.969316i | \(-0.579057\pi\) |
−0.859230 | + | 0.511590i | \(0.829057\pi\) | |||||||
\(230\) | 2.06942 | + | 1.55899i | 0.136453 | + | 0.102797i | ||||
\(231\) | 1.99012 | − | 1.99012i | 0.130940 | − | 0.130940i | ||||
\(232\) | 2.34540 | + | 0.899242i | 0.153983 | + | 0.0590381i | ||||
\(233\) | 10.4559 | − | 10.4559i | 0.684989 | − | 0.684989i | −0.276131 | − | 0.961120i | \(-0.589052\pi\) |
0.961120 | + | 0.276131i | \(0.0890523\pi\) | |||||||
\(234\) | 8.91936 | − | 11.1341i | 0.583077 | − | 0.727857i | ||||
\(235\) | 0.570994 | + | 1.37850i | 0.0372475 | + | 0.0899235i | ||||
\(236\) | 8.29110 | + | 10.4177i | 0.539705 | + | 0.678132i | ||||
\(237\) | −2.83026 | + | 6.83285i | −0.183845 | + | 0.443841i | ||||
\(238\) | 5.63013 | + | 9.55517i | 0.364947 | + | 0.619369i | ||||
\(239\) | −6.19274 | − | 6.19274i | −0.400575 | − | 0.400575i | 0.477860 | − | 0.878436i | \(-0.341412\pi\) |
−0.878436 | + | 0.477860i | \(0.841412\pi\) | |||||||
\(240\) | 0.266675 | − | 1.15790i | 0.0172138 | − | 0.0747421i | ||||
\(241\) | −0.149765 | − | 0.149765i | −0.00964720 | − | 0.00964720i | 0.702267 | − | 0.711914i | \(-0.252171\pi\) |
−0.711914 | + | 0.702267i | \(0.752171\pi\) | |||||||
\(242\) | −2.69396 | + | 10.4225i | −0.173175 | + | 0.669983i | ||||
\(243\) | 10.2254 | + | 4.23550i | 0.655959 | + | 0.271707i | ||||
\(244\) | 9.73086 | − | 7.74449i | 0.622955 | − | 0.495790i | ||||
\(245\) | −1.15385 | + | 2.78563i | −0.0737165 | + | 0.177967i | ||||
\(246\) | −0.455713 | − | 3.23945i | −0.0290552 | − | 0.206540i | ||||
\(247\) | −0.819171 | + | 27.5136i | −0.0521226 | + | 1.75065i | ||||
\(248\) | −4.92554 | + | 5.19458i | −0.312772 | + | 0.329856i | ||||
\(249\) | 0.452258 | 0.0286607 | ||||||||
\(250\) | 7.13658 | + | 5.37632i | 0.451357 | + | 0.340028i | ||||
\(251\) | −3.96411 | − | 9.57020i | −0.250212 | − | 0.604066i | 0.748009 | − | 0.663689i | \(-0.231010\pi\) |
−0.998221 | + | 0.0596232i | \(0.981010\pi\) | |||||||
\(252\) | 18.2899 | − | 5.24981i | 1.15216 | − | 0.330707i | ||||
\(253\) | −1.95338 | − | 4.71588i | −0.122808 | − | 0.296485i | ||||
\(254\) | −12.8348 | − | 21.7826i | −0.805330 | − | 1.36676i | ||||
\(255\) | 0.484397 | + | 0.484397i | 0.0303341 | + | 0.0303341i | ||||
\(256\) | −6.99867 | + | 14.3881i | −0.437417 | + | 0.899259i | ||||
\(257\) | 9.29667i | 0.579910i | 0.957040 | + | 0.289955i | \(0.0936404\pi\) | ||||
−0.957040 | + | 0.289955i | \(0.906360\pi\) | |||||||
\(258\) | −0.292636 | + | 0.172428i | −0.0182187 | + | 0.0107349i | ||||
\(259\) | 23.0175 | + | 9.53416i | 1.43024 | + | 0.592424i | ||||
\(260\) | −1.17748 | − | 4.61612i | −0.0730241 | − | 0.286280i | ||||
\(261\) | 0.950851 | + | 2.29556i | 0.0588562 | + | 0.142091i | ||||
\(262\) | −24.3294 | + | 3.42257i | −1.50308 | + | 0.211447i | ||||
\(263\) | 2.37080 | + | 2.37080i | 0.146190 | + | 0.146190i | 0.776414 | − | 0.630224i | \(-0.217037\pi\) |
−0.630224 | + | 0.776414i | \(0.717037\pi\) | |||||||
\(264\) | −1.61070 | + | 1.69868i | −0.0991318 | + | 0.104546i | ||||
\(265\) | 4.19864i | 0.257920i | ||||||||
\(266\) | −22.0914 | + | 29.3244i | −1.35451 | + | 1.79800i | ||||
\(267\) | 3.94804 | + | 1.63533i | 0.241616 | + | 0.100081i | ||||
\(268\) | 0.658762 | − | 5.79555i | 0.0402403 | − | 0.354020i | ||||
\(269\) | −5.70729 | + | 13.7786i | −0.347980 | + | 0.840097i | 0.648879 | + | 0.760892i | \(0.275238\pi\) |
−0.996858 | + | 0.0792051i | \(0.974762\pi\) | |||||||
\(270\) | 2.09846 | − | 1.23646i | 0.127708 | − | 0.0752486i | ||||
\(271\) | −16.1128 | + | 16.1128i | −0.978786 | + | 0.978786i | −0.999780 | − | 0.0209937i | \(-0.993317\pi\) |
0.0209937 | + | 0.999780i | \(0.493317\pi\) | |||||||
\(272\) | −4.89239 | − | 7.82023i | −0.296645 | − | 0.474171i | ||||
\(273\) | −4.01263 | + | 3.78060i | −0.242856 | + | 0.228813i | ||||
\(274\) | −6.28190 | − | 10.6613i | −0.379504 | − | 0.644074i | ||||
\(275\) | −3.21450 | − | 7.76049i | −0.193842 | − | 0.467975i | ||||
\(276\) | −0.281659 | + | 2.47793i | −0.0169538 | + | 0.149154i | ||||
\(277\) | −4.63920 | − | 11.2000i | −0.278742 | − | 0.672943i | 0.721059 | − | 0.692874i | \(-0.243656\pi\) |
−0.999801 | + | 0.0199303i | \(0.993656\pi\) | |||||||
\(278\) | 1.57119 | − | 2.08562i | 0.0942339 | − | 0.125087i | ||||
\(279\) | −7.08107 | −0.423932 | ||||||||
\(280\) | 2.27479 | − | 5.93309i | 0.135945 | − | 0.354570i | ||||
\(281\) | − | 23.3537i | − | 1.39317i | −0.717475 | − | 0.696584i | \(-0.754702\pi\) | ||
0.717475 | − | 0.696584i | \(-0.245298\pi\) | |||||||
\(282\) | −0.864171 | + | 1.14711i | −0.0514606 | + | 0.0683094i | ||||
\(283\) | 4.97353 | + | 12.0072i | 0.295646 | + | 0.713753i | 0.999992 | + | 0.00389612i | \(0.00124018\pi\) |
−0.704346 | + | 0.709856i | \(0.748760\pi\) | |||||||
\(284\) | −12.6008 | − | 6.98036i | −0.747719 | − | 0.414208i | ||||
\(285\) | −0.867844 | + | 2.09516i | −0.0514067 | + | 0.124107i | ||||
\(286\) | −2.61812 | + | 9.01293i | −0.154813 | + | 0.532946i | ||||
\(287\) | − | 17.4942i | − | 1.03265i | ||||||
\(288\) | −15.0912 | + | 4.76924i | −0.889256 | + | 0.281030i | ||||
\(289\) | −11.6818 | −0.687164 | ||||||||
\(290\) | 0.803319 | + | 0.207639i | 0.0471725 | + | 0.0121930i | ||||
\(291\) | −5.03476 | + | 2.08547i | −0.295143 | + | 0.122252i | ||||
\(292\) | −6.03317 | + | 10.8909i | −0.353064 | + | 0.637344i | ||||
\(293\) | −0.188210 | − | 0.0779592i | −0.0109953 | − | 0.00455442i | 0.377179 | − | 0.926140i | \(-0.376894\pi\) |
−0.388174 | + | 0.921586i | \(0.626894\pi\) | |||||||
\(294\) | −2.87392 | + | 0.404291i | −0.167610 | + | 0.0235788i | ||||
\(295\) | 3.10983 | + | 3.10983i | 0.181061 | + | 0.181061i | ||||
\(296\) | −19.3487 | − | 7.41844i | −1.12462 | − | 0.431188i | ||||
\(297\) | −4.79849 | −0.278437 | ||||||||
\(298\) | −0.299951 | − | 2.13221i | −0.0173757 | − | 0.123515i | ||||
\(299\) | 3.54977 | + | 9.34749i | 0.205289 | + | 0.540579i | ||||
\(300\) | −0.463499 | + | 4.07770i | −0.0267602 | + | 0.235426i | ||||
\(301\) | −1.67813 | + | 0.695104i | −0.0967258 | + | 0.0400652i | ||||
\(302\) | −4.20481 | + | 2.47757i | −0.241959 | + | 0.142568i | ||||
\(303\) | − | 6.76893i | − | 0.388865i | ||||||
\(304\) | 17.7198 | − | 24.8702i | 1.01630 | − | 1.42640i | ||||
\(305\) | 2.90481 | − | 2.90481i | 0.166329 | − | 0.166329i | ||||
\(306\) | 2.28347 | − | 8.83434i | 0.130537 | − | 0.505026i | ||||
\(307\) | −12.6429 | + | 5.23684i | −0.721566 | + | 0.298882i | −0.713081 | − | 0.701082i | \(-0.752701\pi\) |
−0.00848496 | + | 0.999964i | \(0.502701\pi\) | |||||||
\(308\) | −9.79505 | + | 7.79558i | −0.558125 | + | 0.444195i | ||||
\(309\) | 1.18846 | + | 2.86920i | 0.0676093 | + | 0.163223i | ||||
\(310\) | −1.42280 | + | 1.88864i | −0.0808097 | + | 0.107268i | ||||
\(311\) | −11.4931 | − | 11.4931i | −0.651713 | − | 0.651713i | 0.301692 | − | 0.953405i | \(-0.402448\pi\) |
−0.953405 | + | 0.301692i | \(0.902448\pi\) | |||||||
\(312\) | 3.25275 | − | 3.23209i | 0.184151 | − | 0.182981i | ||||
\(313\) | 1.14448 | − | 1.14448i | 0.0646896 | − | 0.0646896i | −0.674022 | − | 0.738711i | \(-0.735435\pi\) |
0.738711 | + | 0.674022i | \(0.235435\pi\) | |||||||
\(314\) | −2.86617 | − | 20.3743i | −0.161747 | − | 1.14979i | ||||
\(315\) | 5.80701 | − | 2.40534i | 0.327188 | − | 0.135526i | ||||
\(316\) | 15.9408 | − | 28.7760i | 0.896740 | − | 1.61877i | ||||
\(317\) | −0.198608 | − | 0.479482i | −0.0111549 | − | 0.0269304i | 0.918204 | − | 0.396108i | \(-0.129639\pi\) |
−0.929359 | + | 0.369178i | \(0.879639\pi\) | |||||||
\(318\) | −3.48190 | + | 2.05162i | −0.195255 | + | 0.115049i | ||||
\(319\) | −1.15587 | − | 1.15587i | −0.0647162 | − | 0.0647162i | ||||
\(320\) | −1.76024 | + | 4.98336i | −0.0984003 | + | 0.278579i | ||||
\(321\) | −1.59486 | −0.0890167 | ||||||||
\(322\) | −3.33751 | + | 12.9123i | −0.185992 | + | 0.719572i | ||||
\(323\) | 6.73738 | + | 16.2655i | 0.374878 | + | 0.905036i | ||||
\(324\) | −12.6336 | − | 6.99851i | −0.701864 | − | 0.388806i | ||||
\(325\) | 5.84154 | + | 15.3823i | 0.324030 | + | 0.853256i | ||||
\(326\) | −13.9451 | + | 18.5108i | −0.772346 | + | 1.02522i | ||||
\(327\) | 4.07004i | 0.225074i | ||||||||
\(328\) | 0.386686 | + | 14.5456i | 0.0213512 | + | 0.803149i | ||||
\(329\) | −5.43084 | + | 5.43084i | −0.299412 | + | 0.299412i | ||||
\(330\) | −0.465271 | + | 0.617605i | −0.0256123 | + | 0.0339981i | ||||
\(331\) | −0.386013 | + | 0.931919i | −0.0212172 | + | 0.0512229i | −0.934133 | − | 0.356925i | \(-0.883825\pi\) |
0.912916 | + | 0.408148i | \(0.133825\pi\) | |||||||
\(332\) | −1.99875 | − | 0.227191i | −0.109696 | − | 0.0124687i | ||||
\(333\) | −7.84419 | − | 18.9376i | −0.429859 | − | 1.03777i | ||||
\(334\) | −10.5039 | − | 17.8266i | −0.574745 | − | 0.975428i | ||||
\(335\) | − | 1.92671i | − | 0.105267i | ||||||
\(336\) | 6.03181 | − | 1.01267i | 0.329062 | − | 0.0552457i | ||||
\(337\) | 17.0973 | 0.931350 | 0.465675 | − | 0.884956i | \(-0.345812\pi\) | ||||
0.465675 | + | 0.884956i | \(0.345812\pi\) | |||||||
\(338\) | 5.65165 | − | 17.4945i | 0.307409 | − | 0.951577i | ||||
\(339\) | 8.17674 | + | 3.38692i | 0.444099 | + | 0.183952i | ||||
\(340\) | −1.89745 | − | 2.38413i | −0.102904 | − | 0.129297i | ||||
\(341\) | 4.30393 | − | 1.78274i | 0.233071 | − | 0.0965410i | ||||
\(342\) | 29.9122 | − | 4.20793i | 1.61746 | − | 0.227539i | ||||
\(343\) | 8.28387 | 0.447287 | ||||||||
\(344\) | 1.37992 | − | 0.615040i | 0.0744004 | − | 0.0331607i | ||||
\(345\) | 0.823779i | 0.0443508i | ||||||||
\(346\) | 4.43132 | + | 31.5001i | 0.238229 | + | 1.69346i | ||||
\(347\) | −25.9917 | + | 10.7661i | −1.39531 | + | 0.577955i | −0.948529 | − | 0.316690i | \(-0.897428\pi\) |
−0.446777 | + | 0.894645i | \(0.647428\pi\) | |||||||
\(348\) | 0.220340 | + | 0.767647i | 0.0118114 | + | 0.0411502i | ||||
\(349\) | 3.94269 | − | 1.63311i | 0.211047 | − | 0.0874186i | −0.274655 | − | 0.961543i | \(-0.588564\pi\) |
0.485703 | + | 0.874124i | \(0.338564\pi\) | |||||||
\(350\) | −5.49223 | + | 21.2485i | −0.293572 | + | 1.13578i | ||||
\(351\) | 9.39537 | + | 0.279731i | 0.501488 | + | 0.0149309i | ||||
\(352\) | 7.97182 | − | 6.69817i | 0.424899 | − | 0.357014i | ||||
\(353\) | −24.3697 | − | 24.3697i | −1.29707 | − | 1.29707i | −0.930319 | − | 0.366751i | \(-0.880470\pi\) |
−0.366751 | − | 0.930319i | \(-0.619530\pi\) | |||||||
\(354\) | −1.05937 | + | 4.09854i | −0.0563051 | + | 0.217835i | ||||
\(355\) | −4.39606 | − | 1.82091i | −0.233319 | − | 0.0966438i | ||||
\(356\) | −16.6268 | − | 9.21062i | −0.881219 | − | 0.488162i | ||||
\(357\) | −1.34942 | + | 3.25778i | −0.0714188 | + | 0.172420i | ||||
\(358\) | −25.8790 | + | 3.64055i | −1.36775 | + | 0.192409i | ||||
\(359\) | 9.52678 | 0.502804 | 0.251402 | − | 0.967883i | \(-0.419108\pi\) | ||||
0.251402 | + | 0.967883i | \(0.419108\pi\) | |||||||
\(360\) | −4.77509 | + | 2.12829i | −0.251669 | + | 0.112170i | ||||
\(361\) | −27.7768 | + | 27.7768i | −1.46194 | + | 1.46194i | ||||
\(362\) | −9.98243 | + | 13.2508i | −0.524665 | + | 0.696446i | ||||
\(363\) | −3.16217 | + | 1.30981i | −0.165971 | + | 0.0687474i | ||||
\(364\) | 19.6330 | − | 14.6926i | 1.02905 | − | 0.770102i | ||||
\(365\) | −1.57382 | + | 3.79954i | −0.0823776 | + | 0.198877i | ||||
\(366\) | 3.82834 | + | 0.989533i | 0.200110 | + | 0.0517237i | ||||
\(367\) | −0.0916274 | −0.00478291 | −0.00239145 | − | 0.999997i | \(-0.500761\pi\) | ||||
−0.00239145 | + | 0.999997i | \(0.500761\pi\) | |||||||
\(368\) | 2.48958 | − | 10.8097i | 0.129778 | − | 0.563495i | ||||
\(369\) | −10.1776 | + | 10.1776i | −0.529826 | + | 0.529826i | ||||
\(370\) | −6.62711 | − | 1.71295i | −0.344527 | − | 0.0890520i | ||||
\(371\) | −19.9671 | + | 8.27063i | −1.03664 | + | 0.429390i | ||||
\(372\) | −2.26147 | − | 0.257054i | −0.117252 | − | 0.0133276i | ||||
\(373\) | 25.4495 | − | 10.5415i | 1.31772 | − | 0.545819i | 0.390595 | − | 0.920563i | \(-0.372269\pi\) |
0.927128 | + | 0.374744i | \(0.122269\pi\) | |||||||
\(374\) | 0.836245 | + | 5.94447i | 0.0432412 | + | 0.307381i | ||||
\(375\) | 2.84088i | 0.146702i | ||||||||
\(376\) | 4.39545 | − | 4.63553i | 0.226678 | − | 0.239059i | ||||
\(377\) | 2.19579 | + | 2.33055i | 0.113089 | + | 0.120030i | ||||
\(378\) | 10.0137 | + | 7.54380i | 0.515050 | + | 0.388011i | ||||
\(379\) | −6.77456 | − | 2.80611i | −0.347986 | − | 0.144140i | 0.201843 | − | 0.979418i | \(-0.435307\pi\) |
−0.549829 | + | 0.835278i | \(0.685307\pi\) | |||||||
\(380\) | 4.88794 | − | 8.82359i | 0.250746 | − | 0.452641i | ||||
\(381\) | 3.07623 | − | 7.42667i | 0.157600 | − | 0.380480i | ||||
\(382\) | 16.2292 | − | 9.56265i | 0.830360 | − | 0.489268i | ||||
\(383\) | 4.67681 | − | 4.67681i | 0.238974 | − | 0.238974i | −0.577451 | − | 0.816425i | \(-0.695953\pi\) |
0.816425 | + | 0.577451i | \(0.195953\pi\) | |||||||
\(384\) | −4.99278 | + | 0.975313i | −0.254787 | + | 0.0497712i | ||||
\(385\) | −2.92397 | + | 2.92397i | −0.149019 | + | 0.149019i | ||||
\(386\) | −17.2537 | − | 4.45966i | −0.878189 | − | 0.226991i | ||||
\(387\) | 1.38068 | + | 0.571895i | 0.0701837 | + | 0.0290710i | ||||
\(388\) | 23.2987 | − | 6.68750i | 1.18281 | − | 0.339506i | ||||
\(389\) | −17.6920 | + | 7.32826i | −0.897019 | + | 0.371557i | −0.783073 | − | 0.621930i | \(-0.786349\pi\) |
−0.113946 | + | 0.993487i | \(0.536349\pi\) | |||||||
\(390\) | 0.946995 | − | 1.18214i | 0.0479530 | − | 0.0598599i | ||||
\(391\) | 4.52215 | + | 4.52215i | 0.228695 | + | 0.228695i | ||||
\(392\) | 12.9043 | − | 0.343053i | 0.651768 | − | 0.0173268i | ||||
\(393\) | −5.52366 | − | 5.52366i | −0.278632 | − | 0.278632i | ||||
\(394\) | −31.1117 | + | 4.37668i | −1.56739 | + | 0.220494i | ||||
\(395\) | 4.15834 | − | 10.0391i | 0.209229 | − | 0.505123i | ||||
\(396\) | 10.2337 | + | 1.16323i | 0.514262 | + | 0.0584545i | ||||
\(397\) | −1.10213 | − | 2.66077i | −0.0553141 | − | 0.133540i | 0.893807 | − | 0.448453i | \(-0.148025\pi\) |
−0.949121 | + | 0.314913i | \(0.898025\pi\) | |||||||
\(398\) | 21.6323 | + | 5.59142i | 1.08433 | + | 0.280273i | ||||
\(399\) | −11.6733 | −0.584394 | ||||||||
\(400\) | 4.09687 | − | 17.7886i | 0.204843 | − | 0.889428i | ||||
\(401\) | −2.30638 | − | 2.30638i | −0.115175 | − | 0.115175i | 0.647170 | − | 0.762345i | \(-0.275952\pi\) |
−0.762345 | + | 0.647170i | \(0.775952\pi\) | |||||||
\(402\) | 1.59781 | − | 0.941465i | 0.0796913 | − | 0.0469560i | ||||
\(403\) | −8.53094 | + | 3.23968i | −0.424956 | + | 0.161380i | ||||
\(404\) | −3.40037 | + | 29.9152i | −0.169175 | + | 1.48834i | ||||
\(405\) | −4.40749 | − | 1.82564i | −0.219010 | − | 0.0907169i | ||||
\(406\) | 0.594959 | + | 4.22928i | 0.0295273 | + | 0.209896i | ||||
\(407\) | 9.53552 | + | 9.53552i | 0.472658 | + | 0.472658i | ||||
\(408\) | 1.04997 | − | 2.73852i | 0.0519812 | − | 0.135577i | ||||
\(409\) | 0.489647 | 0.0242115 | 0.0121058 | − | 0.999927i | \(-0.496147\pi\) | ||||
0.0121058 | + | 0.999927i | \(0.496147\pi\) | |||||||
\(410\) | 0.669554 | + | 4.75954i | 0.0330669 | + | 0.235057i | ||||
\(411\) | 1.50563 | − | 3.63492i | 0.0742674 | − | 0.179297i | ||||
\(412\) | −3.81106 | − | 13.2774i | −0.187757 | − | 0.654133i | ||||
\(413\) | −8.66326 | + | 20.9150i | −0.426291 | + | 1.02916i | ||||
\(414\) | 9.45362 | − | 5.57030i | 0.464620 | − | 0.273765i | ||||
\(415\) | −0.664477 | −0.0326179 | ||||||||
\(416\) | −15.9992 | + | 12.6502i | −0.784423 | + | 0.620226i | ||||
\(417\) | 0.830229 | 0.0406565 | ||||||||
\(418\) | −17.1214 | + | 10.0884i | −0.837437 | + | 0.493438i | ||||
\(419\) | 0.555172 | − | 1.34030i | 0.0271219 | − | 0.0654781i | −0.909738 | − | 0.415182i | \(-0.863718\pi\) |
0.936860 | + | 0.349704i | \(0.113718\pi\) | |||||||
\(420\) | 1.94190 | − | 0.557388i | 0.0947548 | − | 0.0271977i | ||||
\(421\) | 5.91298 | − | 14.2752i | 0.288181 | − | 0.695730i | −0.711797 | − | 0.702385i | \(-0.752118\pi\) |
0.999978 | + | 0.00665495i | \(0.00211835\pi\) | |||||||
\(422\) | −5.25216 | − | 37.3351i | −0.255671 | − | 1.81744i | ||||
\(423\) | 6.31899 | 0.307240 | ||||||||
\(424\) | 16.4189 | − | 7.31798i | 0.797370 | − | 0.355393i | ||||
\(425\) | 7.44169 | + | 7.44169i | 0.360975 | + | 0.360975i | ||||
\(426\) | −0.638021 | − | 4.53538i | −0.0309122 | − | 0.219740i | ||||
\(427\) | 19.5361 | + | 8.09212i | 0.945418 | + | 0.391605i | ||||
\(428\) | 7.04849 | + | 0.801179i | 0.340702 | + | 0.0387265i | ||||
\(429\) | −2.78970 | + | 1.05941i | −0.134688 | + | 0.0511488i | ||||
\(430\) | 0.429954 | − | 0.253339i | 0.0207342 | − | 0.0122171i | ||||
\(431\) | 25.0157 | + | 25.0157i | 1.20497 | + | 1.20497i | 0.972637 | + | 0.232328i | \(0.0746344\pi\) |
0.232328 | + | 0.972637i | \(0.425366\pi\) | |||||||
\(432\) | −8.49268 | − | 6.05097i | −0.408604 | − | 0.291128i | ||||
\(433\) | −25.9657 | −1.24783 | −0.623917 | − | 0.781491i | \(-0.714460\pi\) | ||||
−0.623917 | + | 0.781491i | \(0.714460\pi\) | |||||||
\(434\) | −11.7843 | − | 3.04596i | −0.565665 | − | 0.146211i | ||||
\(435\) | 0.100955 | + | 0.243726i | 0.00484041 | + | 0.0116858i | ||||
\(436\) | 2.04458 | − | 17.9875i | 0.0979177 | − | 0.861445i | ||||
\(437\) | −8.10187 | + | 19.5596i | −0.387565 | + | 0.935665i | ||||
\(438\) | −3.91996 | + | 0.551445i | −0.187303 | + | 0.0263491i | ||||
\(439\) | 9.97603 | + | 9.97603i | 0.476130 | + | 0.476130i | 0.903892 | − | 0.427762i | \(-0.140698\pi\) |
−0.427762 | + | 0.903892i | \(0.640698\pi\) | |||||||
\(440\) | 2.36651 | − | 2.49577i | 0.112819 | − | 0.118981i | ||||
\(441\) | 9.02920 | + | 9.02920i | 0.429962 | + | 0.429962i | ||||
\(442\) | −1.29082 | − | 11.6879i | −0.0613979 | − | 0.555938i | ||||
\(443\) | −13.0432 | + | 5.40266i | −0.619700 | + | 0.256688i | −0.670369 | − | 0.742027i | \(-0.733864\pi\) |
0.0506699 | + | 0.998715i | \(0.483864\pi\) | |||||||
\(444\) | −1.81773 | − | 6.33282i | −0.0862655 | − | 0.300543i | ||||
\(445\) | −5.80063 | − | 2.40270i | −0.274976 | − | 0.113899i | ||||
\(446\) | −26.3137 | − | 6.80147i | −1.24599 | − | 0.322059i | ||||
\(447\) | 0.484088 | − | 0.484088i | 0.0228966 | − | 0.0228966i | ||||
\(448\) | −27.1663 | + | 1.44541i | −1.28349 | + | 0.0682894i | ||||
\(449\) | 9.92247 | − | 9.92247i | 0.468270 | − | 0.468270i | −0.433083 | − | 0.901354i | \(-0.642574\pi\) |
0.901354 | + | 0.433083i | \(0.142574\pi\) | |||||||
\(450\) | 15.5570 | − | 9.16653i | 0.733362 | − | 0.432114i | ||||
\(451\) | 3.62369 | − | 8.74837i | 0.170633 | − | 0.411945i | ||||
\(452\) | −34.4356 | − | 19.0760i | −1.61972 | − | 0.897261i | ||||
\(453\) | −1.43361 | − | 0.593819i | −0.0673567 | − | 0.0279001i | ||||
\(454\) | −31.2700 | − | 23.5572i | −1.46758 | − | 1.10559i | ||||
\(455\) | 5.89554 | − | 5.55463i | 0.276387 | − | 0.260405i | ||||
\(456\) | 9.70577 | − | 0.258021i | 0.454514 | − | 0.0120830i | ||||
\(457\) | 32.3591i | 1.51370i | 0.653591 | + | 0.756848i | \(0.273262\pi\) | ||||
−0.653591 | + | 0.756848i | \(0.726738\pi\) | |||||||
\(458\) | 3.56585 | + | 25.3480i | 0.166621 | + | 1.18443i | ||||
\(459\) | 5.55435 | − | 2.30069i | 0.259255 | − | 0.107387i | ||||
\(460\) | 0.413825 | − | 3.64069i | 0.0192947 | − | 0.169748i | ||||
\(461\) | 28.1483 | − | 11.6594i | 1.31100 | − | 0.543033i | 0.385823 | − | 0.922573i | \(-0.373918\pi\) |
0.925175 | + | 0.379540i | \(0.123918\pi\) | |||||||
\(462\) | −3.85359 | − | 0.996061i | −0.179285 | − | 0.0463409i | ||||
\(463\) | 21.4899 | − | 21.4899i | 0.998723 | − | 0.998723i | −0.00127656 | − | 0.999999i | \(-0.500406\pi\) |
0.999999 | + | 0.00127656i | \(0.000406342\pi\) | |||||||
\(464\) | −0.588163 | − | 3.50330i | −0.0273048 | − | 0.162637i | ||||
\(465\) | −0.751818 | −0.0348647 | ||||||||
\(466\) | −20.2464 | − | 5.23321i | −0.937897 | − | 0.242424i | ||||
\(467\) | −3.23133 | + | 7.80113i | −0.149528 | + | 0.360993i | −0.980840 | − | 0.194813i | \(-0.937590\pi\) |
0.831312 | + | 0.555806i | \(0.187590\pi\) | |||||||
\(468\) | −19.9696 | − | 2.87417i | −0.923094 | − | 0.132858i | ||||
\(469\) | 9.16266 | − | 3.79530i | 0.423092 | − | 0.175251i | ||||
\(470\) | 1.26968 | − | 1.68538i | 0.0585658 | − | 0.0777410i | ||||
\(471\) | 4.62569 | − | 4.62569i | 0.213141 | − | 0.213141i | ||||
\(472\) | 6.74080 | − | 17.5813i | 0.310270 | − | 0.809245i | ||||
\(473\) | −0.983166 | −0.0452060 | ||||||||
\(474\) | 10.3573 | − | 1.45702i | 0.475726 | − | 0.0669233i | ||||
\(475\) | −13.3325 | + | 32.1875i | −0.611737 | + | 1.47686i | ||||
\(476\) | 7.60029 | − | 13.7199i | 0.348359 | − | 0.628849i | ||||
\(477\) | 16.4278 | + | 6.80463i | 0.752178 | + | 0.311562i | ||||
\(478\) | −3.09949 | + | 11.9914i | −0.141767 | + | 0.548473i | ||||
\(479\) | 10.6065 | + | 10.6065i | 0.484625 | + | 0.484625i | 0.906605 | − | 0.421980i | \(-0.138665\pi\) |
−0.421980 | + | 0.906605i | \(0.638665\pi\) | |||||||
\(480\) | −1.60228 | + | 0.506365i | −0.0731335 | + | 0.0231123i | ||||
\(481\) | −18.1145 | − | 19.2263i | −0.825950 | − | 0.876642i | ||||
\(482\) | −0.0749578 | + | 0.289999i | −0.00341423 | + | 0.0132091i | ||||
\(483\) | −3.91756 | + | 1.62271i | −0.178255 | + | 0.0738358i | ||||
\(484\) | 14.6332 | − | 4.20020i | 0.665144 | − | 0.190918i | ||||
\(485\) | 7.39730 | − | 3.06406i | 0.335894 | − | 0.139132i | ||||
\(486\) | −2.18044 | − | 15.4997i | −0.0989069 | − | 0.703082i | ||||
\(487\) | 31.4816i | 1.42657i | 0.700876 | + | 0.713284i | \(0.252793\pi\) | ||||
−0.700876 | + | 0.713284i | \(0.747207\pi\) | |||||||
\(488\) | −16.4222 | − | 6.29640i | −0.743399 | − | 0.285024i | ||||
\(489\) | −7.36867 | −0.333223 | ||||||||
\(490\) | 4.22248 | − | 0.594003i | 0.190752 | − | 0.0268343i | ||||
\(491\) | 20.8989 | − | 8.65659i | 0.943152 | − | 0.390667i | 0.142499 | − | 0.989795i | \(-0.454486\pi\) |
0.800653 | + | 0.599128i | \(0.204486\pi\) | |||||||
\(492\) | −3.61988 | + | 2.88095i | −0.163197 | + | 0.129883i | ||||
\(493\) | 1.89213 | + | 0.783747i | 0.0852173 | + | 0.0352982i | ||||
\(494\) | 34.1116 | − | 18.7547i | 1.53475 | − | 0.843815i | ||||
\(495\) | 3.40215 | 0.152915 | ||||||||
\(496\) | 9.86543 | + | 2.27210i | 0.442971 | + | 0.102020i | ||||
\(497\) | − | 24.4928i | − | 1.09865i | ||||||
\(498\) | −0.324689 | − | 0.551045i | −0.0145497 | − | 0.0246929i | ||||
\(499\) | 5.63502 | + | 13.6041i | 0.252258 | + | 0.609005i | 0.998386 | − | 0.0567981i | \(-0.0180891\pi\) |
−0.746128 | + | 0.665803i | \(0.768089\pi\) | |||||||
\(500\) | 1.42712 | − | 12.5553i | 0.0638225 | − | 0.561488i | ||||
\(501\) | 2.51754 | − | 6.07788i | 0.112475 | − | 0.271540i | ||||
\(502\) | −8.81469 | + | 11.7007i | −0.393419 | + | 0.522229i | ||||
\(503\) | 6.38116 | − | 6.38116i | 0.284522 | − | 0.284522i | −0.550387 | − | 0.834909i | \(-0.685520\pi\) |
0.834909 | + | 0.550387i | \(0.185520\pi\) | |||||||
\(504\) | −19.5274 | − | 18.5161i | −0.869820 | − | 0.824770i | ||||
\(505\) | 9.94521i | 0.442556i | ||||||||
\(506\) | −4.34359 | + | 5.76573i | −0.193096 | + | 0.256318i | ||||
\(507\) | 5.52395 | − | 1.91168i | 0.245327 | − | 0.0849006i | ||||
\(508\) | −17.3262 | + | 31.2768i | −0.768724 | + | 1.38768i | ||||
\(509\) | −2.60654 | − | 6.29276i | −0.115533 | − | 0.278922i | 0.855526 | − | 0.517759i | \(-0.173234\pi\) |
−0.971060 | + | 0.238838i | \(0.923234\pi\) | |||||||
\(510\) | 0.242442 | − | 0.937968i | 0.0107355 | − | 0.0415339i | ||||
\(511\) | −21.1693 | −0.936473 | ||||||||
\(512\) | 22.5555 | − | 1.80227i | 0.996823 | − | 0.0796497i | ||||
\(513\) | 14.0730 | + | 14.0730i | 0.621340 | + | 0.621340i | ||||
\(514\) | 11.3274 | − | 6.67435i | 0.499629 | − | 0.294393i | ||||
\(515\) | −1.74614 | − | 4.21556i | −0.0769442 | − | 0.185760i | ||||
\(516\) | 0.420184 | + | 0.232766i | 0.0184976 | + | 0.0102470i | ||||
\(517\) | −3.84073 | + | 1.59088i | −0.168915 | + | 0.0699669i | ||||
\(518\) | −4.90821 | − | 34.8901i | −0.215654 | − | 1.53298i | ||||
\(519\) | −7.15167 | + | 7.15167i | −0.313923 | + | 0.313923i | ||||
\(520\) | −4.77909 | + | 4.74873i | −0.209577 | + | 0.208245i | ||||
\(521\) | −23.4900 | − | 23.4900i | −1.02912 | − | 1.02912i | −0.999563 | − | 0.0295537i | \(-0.990591\pi\) |
−0.0295537 | − | 0.999563i | \(-0.509409\pi\) | |||||||
\(522\) | 2.11434 | − | 2.80659i | 0.0925420 | − | 0.122841i | ||||
\(523\) | −10.0627 | − | 24.2934i | −0.440010 | − | 1.06228i | −0.975945 | − | 0.218018i | \(-0.930041\pi\) |
0.535935 | − | 0.844259i | \(-0.319959\pi\) | |||||||
\(524\) | 21.6370 | + | 27.1866i | 0.945215 | + | 1.18765i | ||||
\(525\) | −6.44678 | + | 2.67034i | −0.281360 | + | 0.116543i | ||||
\(526\) | 1.18659 | − | 4.59072i | 0.0517379 | − | 0.200165i | ||||
\(527\) | −4.12712 | + | 4.12712i | −0.179780 | + | 0.179780i | ||||
\(528\) | 3.22610 | + | 0.742999i | 0.140398 | + | 0.0323349i | ||||
\(529\) | − | 15.3095i | − | 0.665631i | ||||||
\(530\) | 5.11576 | − | 3.01433i | 0.222214 | − | 0.130934i | ||||
\(531\) | 17.2077 | − | 7.12766i | 0.746751 | − | 0.309314i | ||||
\(532\) | 51.5899 | + | 5.86406i | 2.23671 | + | 0.254239i | ||||
\(533\) | −7.60512 | + | 16.9179i | −0.329414 | + | 0.732796i | ||||
\(534\) | −0.841872 | − | 5.98447i | −0.0364314 | − | 0.258973i | ||||
\(535\) | 2.34324 | 0.101307 | ||||||||
\(536\) | −7.53443 | + | 3.35814i | −0.325438 | + | 0.145050i | ||||
\(537\) | −5.87546 | − | 5.87546i | −0.253545 | − | 0.253545i | ||||
\(538\) | 20.8857 | − | 2.93813i | 0.900448 | − | 0.126672i | ||||
\(539\) | −7.76122 | − | 3.21480i | −0.334299 | − | 0.138471i | ||||
\(540\) | −3.01309 | − | 1.66914i | −0.129663 | − | 0.0718282i | ||||
\(541\) | −6.05041 | + | 2.50616i | −0.260128 | + | 0.107748i | −0.508936 | − | 0.860804i | \(-0.669961\pi\) |
0.248808 | + | 0.968553i | \(0.419961\pi\) | |||||||
\(542\) | 31.2003 | + | 8.06453i | 1.34017 | + | 0.346401i | ||||
\(543\) | −5.27478 | −0.226363 | ||||||||
\(544\) | −6.01602 | + | 11.5754i | −0.257935 | + | 0.496292i | ||||
\(545\) | − | 5.97988i | − | 0.256150i | ||||||
\(546\) | 7.48720 | + | 2.17492i | 0.320423 | + | 0.0930779i | ||||
\(547\) | −0.708406 | + | 1.71024i | −0.0302893 | + | 0.0731247i | −0.938300 | − | 0.345821i | \(-0.887600\pi\) |
0.908011 | + | 0.418946i | \(0.137600\pi\) | |||||||
\(548\) | −8.48014 | + | 15.3082i | −0.362253 | + | 0.653932i | ||||
\(549\) | −6.65776 | − | 16.0732i | −0.284146 | − | 0.685989i | ||||
\(550\) | −7.14785 | + | 9.48813i | −0.304785 | + | 0.404575i | ||||
\(551\) | 6.77987i | 0.288832i | ||||||||
\(552\) | 3.22140 | − | 1.43580i | 0.137112 | − | 0.0611116i | ||||
\(553\) | 55.9333 | 2.37853 | ||||||||
\(554\) | −10.3158 | + | 13.6934i | −0.438278 | + | 0.581775i | ||||
\(555\) | −0.832841 | − | 2.01066i | −0.0353521 | − | 0.0853476i | ||||
\(556\) | −3.66919 | − | 0.417065i | −0.155608 | − | 0.0176875i | ||||
\(557\) | 13.0146 | + | 31.4201i | 0.551448 | + | 1.33131i | 0.916391 | + | 0.400284i | \(0.131088\pi\) |
−0.364943 | + | 0.931030i | \(0.618912\pi\) | |||||||
\(558\) | 5.08371 | + | 8.62780i | 0.215210 | + | 0.365244i | ||||
\(559\) | 1.92502 | + | 0.0573142i | 0.0814198 | + | 0.00242413i | ||||
\(560\) | −8.86220 | + | 1.48786i | −0.374496 | + | 0.0628736i | ||||
\(561\) | −1.34961 | + | 1.34961i | −0.0569806 | + | 0.0569806i | ||||
\(562\) | −28.4550 | + | 16.7663i | −1.20030 | + | 0.707245i | ||||
\(563\) | −1.40721 | + | 3.39730i | −0.0593067 | + | 0.143179i | −0.950755 | − | 0.309943i | \(-0.899690\pi\) |
0.891448 | + | 0.453122i | \(0.149690\pi\) | |||||||
\(564\) | 2.01809 | + | 0.229390i | 0.0849769 | + | 0.00965905i | ||||
\(565\) | −12.0136 | − | 4.97621i | −0.505417 | − | 0.209351i | ||||
\(566\) | 11.0593 | − | 14.6802i | 0.464856 | − | 0.617056i | ||||
\(567\) | − | 24.5565i | − | 1.03128i | ||||||
\(568\) | 0.541379 | + | 20.3646i | 0.0227158 | + | 0.854480i | ||||
\(569\) | 19.3966 | + | 19.3966i | 0.813149 | + | 0.813149i | 0.985105 | − | 0.171956i | \(-0.0550087\pi\) |
−0.171956 | + | 0.985105i | \(0.555009\pi\) | |||||||
\(570\) | 3.17586 | − | 0.446768i | 0.133022 | − | 0.0187131i | ||||
\(571\) | −1.86440 | − | 4.50106i | −0.0780227 | − | 0.188363i | 0.880055 | − | 0.474871i | \(-0.157505\pi\) |
−0.958078 | + | 0.286508i | \(0.907505\pi\) | |||||||
\(572\) | 12.8613 | − | 3.28065i | 0.537757 | − | 0.137171i | ||||
\(573\) | 5.53327 | + | 2.29196i | 0.231156 | + | 0.0957478i | ||||
\(574\) | −21.3156 | + | 12.5596i | −0.889694 | + | 0.524229i | ||||
\(575\) | 12.6555i | 0.527772i | ||||||||
\(576\) | 16.6454 | + | 14.9636i | 0.693558 | + | 0.623483i | ||||
\(577\) | −16.1153 | − | 16.1153i | −0.670890 | − | 0.670890i | 0.287031 | − | 0.957921i | \(-0.407332\pi\) |
−0.957921 | + | 0.287031i | \(0.907332\pi\) | |||||||
\(578\) | 8.38669 | + | 14.2335i | 0.348840 | + | 0.592034i | ||||
\(579\) | −2.16830 | − | 5.23475i | −0.0901116 | − | 0.217549i | ||||
\(580\) | −0.323733 | − | 1.12786i | −0.0134423 | − | 0.0468319i | ||||
\(581\) | −1.30891 | − | 3.15999i | −0.0543027 | − | 0.131098i | ||||
\(582\) | 6.15561 | + | 4.63730i | 0.255158 | + | 0.192222i | ||||
\(583\) | −11.6981 | −0.484486 | ||||||||
\(584\) | 17.6013 | − | 0.467917i | 0.728345 | − | 0.0193626i | ||||
\(585\) | −6.66136 | − | 0.198330i | −0.275413 | − | 0.00819995i | ||||
\(586\) | 0.0401336 | + | 0.285290i | 0.00165790 | + | 0.0117852i | ||||
\(587\) | −16.6196 | + | 40.1233i | −0.685965 | + | 1.65607i | 0.0667926 | + | 0.997767i | \(0.478723\pi\) |
−0.752757 | + | 0.658298i | \(0.771277\pi\) | |||||||
\(588\) | 2.55587 | + | 3.21142i | 0.105402 | + | 0.132437i | ||||
\(589\) | −17.8510 | − | 7.39413i | −0.735538 | − | 0.304670i | ||||
\(590\) | 1.55648 | − | 6.02176i | 0.0640792 | − | 0.247912i | ||||
\(591\) | −7.06350 | − | 7.06350i | −0.290553 | − | 0.290553i | ||||
\(592\) | 4.85214 | + | 28.9010i | 0.199422 | + | 1.18782i | ||||
\(593\) | −22.3950 | − | 22.3950i | −0.919651 | − | 0.919651i | 0.0773526 | − | 0.997004i | \(-0.475353\pi\) |
−0.997004 | + | 0.0773526i | \(0.975353\pi\) | |||||||
\(594\) | 3.44498 | + | 5.84664i | 0.141349 | + | 0.239891i | ||||
\(595\) | 1.98262 | − | 4.78648i | 0.0812796 | − | 0.196226i | ||||
\(596\) | −2.38261 | + | 1.89624i | −0.0975954 | + | 0.0776732i | ||||
\(597\) | 2.71857 | + | 6.56320i | 0.111264 | + | 0.268614i | ||||
\(598\) | 8.84079 | − | 11.0360i | 0.361527 | − | 0.451295i | ||||
\(599\) | 24.5659 | − | 24.5659i | 1.00374 | − | 1.00374i | 0.00374357 | − | 0.999993i | \(-0.498808\pi\) |
0.999993 | − | 0.00374357i | \(-0.00119162\pi\) | |||||||
\(600\) | 5.30117 | − | 2.36276i | 0.216419 | − | 0.0964593i | ||||
\(601\) | 29.6868 | − | 29.6868i | 1.21095 | − | 1.21095i | 0.240234 | − | 0.970715i | \(-0.422776\pi\) |
0.970715 | − | 0.240234i | \(-0.0772242\pi\) | |||||||
\(602\) | 2.05172 | + | 1.54565i | 0.0836217 | + | 0.0629961i | ||||
\(603\) | −7.53854 | − | 3.12257i | −0.306993 | − | 0.127161i | ||||
\(604\) | 6.03751 | + | 3.34455i | 0.245663 | + | 0.136088i | ||||
\(605\) | 4.64600 | − | 1.92444i | 0.188887 | − | 0.0782394i | ||||
\(606\) | −8.24748 | + | 4.85961i | −0.335031 | + | 0.197408i | ||||
\(607\) | − | 17.9597i | − | 0.728962i | −0.931211 | − | 0.364481i | \(-0.881246\pi\) | ||
0.931211 | − | 0.364481i | \(-0.118754\pi\) | |||||||
\(608\) | −43.0242 | − | 3.73537i | −1.74486 | − | 0.151489i | ||||
\(609\) | −0.960200 | + | 0.960200i | −0.0389093 | + | 0.0389093i | ||||
\(610\) | −5.62476 | − | 1.45387i | −0.227740 | − | 0.0588653i | ||||
\(611\) | 7.61282 | − | 2.89102i | 0.307982 | − | 0.116958i | ||||
\(612\) | −12.4034 | + | 3.56018i | −0.501378 | + | 0.143912i | ||||
\(613\) | −9.16072 | + | 22.1159i | −0.369998 | + | 0.893255i | 0.623751 | + | 0.781623i | \(0.285608\pi\) |
−0.993750 | + | 0.111632i | \(0.964392\pi\) | |||||||
\(614\) | 15.4574 | + | 11.6448i | 0.623811 | + | 0.469945i | ||||
\(615\) | −1.08059 | + | 1.08059i | −0.0435735 | + | 0.0435735i | ||||
\(616\) | 16.5305 | + | 6.33793i | 0.666035 | + | 0.255363i | ||||
\(617\) | − | 7.98738i | − | 0.321560i | −0.986990 | − | 0.160780i | \(-0.948599\pi\) | ||
0.986990 | − | 0.160780i | \(-0.0514010\pi\) | |||||||
\(618\) | 2.64270 | − | 3.50795i | 0.106305 | − | 0.141110i | ||||
\(619\) | 11.1547 | + | 4.62041i | 0.448343 | + | 0.185710i | 0.595419 | − | 0.803415i | \(-0.296986\pi\) |
−0.147076 | + | 0.989125i | \(0.546986\pi\) | |||||||
\(620\) | 3.32265 | + | 0.377675i | 0.133441 | + | 0.0151678i | ||||
\(621\) | 6.67924 | + | 2.76663i | 0.268029 | + | 0.111021i | ||||
\(622\) | −5.75232 | + | 22.2548i | −0.230647 | + | 0.892335i | ||||
\(623\) | − | 32.3184i | − | 1.29481i | ||||||
\(624\) | −6.27333 | − | 1.64285i | −0.251134 | − | 0.0657665i | ||||
\(625\) | 18.6438i | 0.745753i | ||||||||
\(626\) | −2.21612 | − | 0.572813i | −0.0885739 | − | 0.0228942i | ||||
\(627\) | −5.83746 | − | 2.41796i | −0.233126 | − | 0.0965639i | ||||
\(628\) | −22.7669 | + | 18.1195i | −0.908500 | + | 0.723047i | ||||
\(629\) | −15.6094 | − | 6.46564i | −0.622389 | − | 0.257802i | ||||
\(630\) | −7.09977 | − | 5.34858i | −0.282862 | − | 0.213093i | ||||
\(631\) | 39.9918i | 1.59205i | 0.605265 | + | 0.796024i | \(0.293067\pi\) | ||||
−0.605265 | + | 0.796024i | \(0.706933\pi\) | |||||||
\(632\) | −46.5059 | + | 1.23633i | −1.84991 | + | 0.0491785i | ||||
\(633\) | 8.47642 | − | 8.47642i | 0.336907 | − | 0.336907i | ||||
\(634\) | −0.441630 | + | 0.586224i | −0.0175394 | + | 0.0232819i | ||||
\(635\) | −4.51973 | + | 10.9116i | −0.179360 | + | 0.433013i | ||||
\(636\) | 4.99952 | + | 2.76954i | 0.198244 | + | 0.109820i | ||||
\(637\) | 15.0089 | + | 6.74698i | 0.594676 | + | 0.267325i | ||||
\(638\) | −0.578516 | + | 2.23818i | −0.0229036 | + | 0.0886104i | ||||
\(639\) | −14.2492 | + | 14.2492i | −0.563688 | + | 0.563688i | ||||
\(640\) | 7.33562 | − | 1.43297i | 0.289966 | − | 0.0566432i | ||||
\(641\) | 31.4366i | 1.24167i | 0.783942 | + | 0.620835i | \(0.213206\pi\) | ||||
−0.783942 | + | 0.620835i | \(0.786794\pi\) | |||||||
\(642\) | 1.14500 | + | 1.94323i | 0.0451895 | + | 0.0766934i | ||||
\(643\) | 16.2332 | − | 6.72401i | 0.640174 | − | 0.265169i | −0.0388946 | − | 0.999243i | \(-0.512384\pi\) |
0.679069 | + | 0.734074i | \(0.262384\pi\) | |||||||
\(644\) | 18.1288 | − | 5.20356i | 0.714375 | − | 0.205049i | ||||
\(645\) | 0.146590 | + | 0.0607198i | 0.00577199 | + | 0.00239084i | ||||
\(646\) | 14.9814 | − | 19.8865i | 0.589436 | − | 0.782424i | ||||
\(647\) | 29.9899 | − | 29.9899i | 1.17902 | − | 1.17902i | 0.199031 | − | 0.979993i | \(-0.436220\pi\) |
0.979993 | − | 0.199031i | \(-0.0637796\pi\) | |||||||
\(648\) | 0.542787 | + | 20.4176i | 0.0213227 | + | 0.802078i | ||||
\(649\) | −8.66449 | + | 8.66449i | −0.340111 | + | 0.340111i | ||||
\(650\) | 14.5485 | − | 18.1609i | 0.570638 | − | 0.712330i | ||||
\(651\) | −1.48096 | − | 3.57535i | −0.0580433 | − | 0.140129i | ||||
\(652\) | 32.5658 | + | 3.70165i | 1.27537 | + | 0.144968i | ||||
\(653\) | −15.7093 | + | 37.9255i | −0.614751 | + | 1.48414i | 0.242975 | + | 0.970033i | \(0.421877\pi\) |
−0.857726 | + | 0.514107i | \(0.828123\pi\) | |||||||
\(654\) | 4.95907 | − | 2.92200i | 0.193915 | − | 0.114259i | ||||
\(655\) | 8.11560 | + | 8.11560i | 0.317103 | + | 0.317103i | ||||
\(656\) | 17.4453 | − | 10.9139i | 0.681123 | − | 0.426116i | ||||
\(657\) | 12.3156 | + | 12.3156i | 0.480479 | + | 0.480479i | ||||
\(658\) | 10.5161 | + | 2.71815i | 0.409959 | + | 0.105965i | ||||
\(659\) | −45.5783 | − | 18.8792i | −1.77548 | − | 0.735428i | −0.993726 | − | 0.111840i | \(-0.964325\pi\) |
−0.781754 | − | 0.623588i | \(-0.785675\pi\) | |||||||
\(660\) | 1.08654 | + | 0.123504i | 0.0422936 | + | 0.00480737i | ||||
\(661\) | 7.17032 | − | 17.3107i | 0.278893 | − | 0.673307i | −0.720912 | − | 0.693026i | \(-0.756277\pi\) |
0.999806 | + | 0.0197186i | \(0.00627704\pi\) | |||||||
\(662\) | 1.41261 | − | 0.198721i | 0.0549027 | − | 0.00772350i | ||||
\(663\) | 2.72119 | − | 2.56384i | 0.105682 | − | 0.0995712i | ||||
\(664\) | 1.15814 | + | 2.59845i | 0.0449447 | + | 0.100839i | ||||
\(665\) | 17.1509 | 0.665082 | ||||||||
\(666\) | −17.4426 | + | 23.1534i | −0.675885 | + | 0.897178i | ||||
\(667\) | 0.942475 | + | 2.27534i | 0.0364928 | + | 0.0881013i | ||||
\(668\) | −14.1795 | + | 25.5965i | −0.548621 | + | 0.990358i | ||||
\(669\) | −3.30690 | − | 7.98356i | −0.127852 | − | 0.308662i | ||||
\(670\) | −2.34757 | + | 1.38324i | −0.0906944 | + | 0.0534393i | ||||
\(671\) | 8.09327 | + | 8.09327i | 0.312437 | + | 0.312437i | ||||
\(672\) | −5.56429 | − | 6.62233i | −0.214647 | − | 0.255462i | ||||
\(673\) | 10.0231i | 0.386361i | 0.981163 | + | 0.193180i | \(0.0618802\pi\) | ||||
−0.981163 | + | 0.193180i | \(0.938120\pi\) | |||||||
\(674\) | −12.2747 | − | 20.8319i | −0.472803 | − | 0.802416i | ||||
\(675\) | 10.9914 | + | 4.55279i | 0.423060 | + | 0.175237i | ||||
\(676\) | −25.3734 | + | 5.67369i | −0.975900 | + | 0.218219i | ||||
\(677\) | 8.67765 | + | 20.9497i | 0.333509 | + | 0.805162i | 0.998308 | + | 0.0581403i | \(0.0185171\pi\) |
−0.664799 | + | 0.747022i | \(0.731483\pi\) | |||||||
\(678\) | −1.74359 | − | 12.3944i | −0.0669623 | − | 0.476003i | ||||
\(679\) | 29.1429 | + | 29.1429i | 1.11840 | + | 1.11840i | ||||
\(680\) | −1.54266 | + | 4.02355i | −0.0591583 | + | 0.154296i | ||||
\(681\) | − | 12.4478i | − | 0.476999i | ||||||
\(682\) | −5.26207 | − | 3.96416i | −0.201495 | − | 0.151795i | ||||
\(683\) | −26.2418 | − | 10.8697i | −1.00412 | − | 0.415918i | −0.180811 | − | 0.983518i | \(-0.557872\pi\) |
−0.823305 | + | 0.567600i | \(0.807872\pi\) | |||||||
\(684\) | −26.6019 | − | 33.4250i | −1.01715 | − | 1.27804i | ||||
\(685\) | −2.21214 | + | 5.34058i | −0.0845216 | + | 0.204053i | ||||
\(686\) | −5.94724 | − | 10.0933i | −0.227066 | − | 0.385365i | ||||
\(687\) | −5.75491 | + | 5.75491i | −0.219563 | + | 0.219563i | ||||
\(688\) | −1.74007 | − | 1.23979i | −0.0663396 | − | 0.0472665i | ||||
\(689\) | 22.9047 | + | 0.681947i | 0.872599 | + | 0.0259801i | ||||
\(690\) | 1.00372 | − | 0.591415i | 0.0382109 | − | 0.0225148i | ||||
\(691\) | 6.84764 | + | 16.5317i | 0.260496 | + | 0.628894i | 0.998969 | − | 0.0453890i | \(-0.0144527\pi\) |
−0.738473 | + | 0.674283i | \(0.764453\pi\) | |||||||
\(692\) | 35.1994 | − | 28.0141i | 1.33808 | − | 1.06494i | ||||
\(693\) | 6.70168 | + | 16.1793i | 0.254576 | + | 0.614600i | ||||
\(694\) | 31.7780 | + | 23.9398i | 1.20627 | + | 0.908742i | ||||
\(695\) | −1.21981 | −0.0462700 | ||||||||
\(696\) | 0.777137 | − | 0.819585i | 0.0294573 | − | 0.0310663i | ||||
\(697\) | 11.8638i | 0.449374i | ||||||||
\(698\) | −4.82041 | − | 3.63144i | −0.182455 | − | 0.137452i | ||||
\(699\) | −2.54441 | − | 6.14274i | −0.0962383 | − | 0.232340i | ||||
\(700\) | 29.8329 | − | 8.56302i | 1.12758 | − | 0.323652i | ||||
\(701\) | 11.1852 | − | 27.0035i | 0.422460 | − | 1.01991i | −0.559160 | − | 0.829060i | \(-0.688876\pi\) |
0.981620 | − | 0.190848i | \(-0.0611238\pi\) | |||||||
\(702\) | −6.40438 | − | 11.6484i | −0.241718 | − | 0.439642i | ||||
\(703\) | − | 55.9316i | − | 2.10950i | ||||||
\(704\) | −13.8845 | − | 4.90431i | −0.523290 | − | 0.184838i | ||||
\(705\) | 0.670906 | 0.0252678 | ||||||||
\(706\) | −12.1971 | + | 47.1886i | −0.459045 | + | 1.77597i | ||||
\(707\) | −47.2954 | + | 19.5904i | −1.77873 | + | 0.736773i | ||||
\(708\) | 5.75435 | − | 1.65169i | 0.216262 | − | 0.0620742i | ||||
\(709\) | 38.1352 | + | 15.7961i | 1.43220 | + | 0.593236i | 0.957893 | − | 0.287124i | \(-0.0926993\pi\) |
0.474305 | + | 0.880360i | \(0.342699\pi\) | |||||||
\(710\) | 0.937408 | + | 6.66359i | 0.0351803 | + | 0.250080i | ||||
\(711\) | −32.5403 | − | 32.5403i | −1.22036 | − | 1.22036i | ||||
\(712\) | 0.714353 | + | 26.8712i | 0.0267715 | + | 1.00704i | ||||
\(713\) | −7.01869 | −0.262852 | ||||||||
\(714\) | 4.93817 | − | 0.694683i | 0.184807 | − | 0.0259979i | ||||
\(715\) | 4.09875 | − | 1.55653i | 0.153285 | − | 0.0582109i | ||||
\(716\) | 23.0150 | + | 28.9181i | 0.860112 | + | 1.08072i | ||||
\(717\) | −3.63817 | + | 1.50698i | −0.135870 | + | 0.0562792i | ||||
\(718\) | −6.83955 | − | 11.6077i | −0.255250 | − | 0.433197i | ||||
\(719\) | − | 30.7036i | − | 1.14505i | −0.819887 | − | 0.572526i | \(-0.805964\pi\) | ||
0.819887 | − | 0.572526i | \(-0.194036\pi\) | |||||||
\(720\) | 6.02135 | + | 4.29017i | 0.224402 | + | 0.159885i | ||||
\(721\) | 16.6079 | − | 16.6079i | 0.618511 | − | 0.618511i | ||||
\(722\) | 53.7860 | + | 13.9024i | 2.00171 | + | 0.517393i | ||||
\(723\) | −0.0879853 | + | 0.0364447i | −0.00327221 | + | 0.00135539i | ||||
\(724\) | 23.3119 | + | 2.64978i | 0.866379 | + | 0.0984785i | ||||
\(725\) | 1.55094 | + | 3.74431i | 0.0576006 | + | 0.139060i | ||||
\(726\) | 3.86613 | + | 2.91254i | 0.143486 | + | 0.108094i | ||||
\(727\) | −11.7525 | − | 11.7525i | −0.435876 | − | 0.435876i | 0.454746 | − | 0.890621i | \(-0.349730\pi\) |
−0.890621 | + | 0.454746i | \(0.849730\pi\) | |||||||
\(728\) | −31.9971 | − | 13.3732i | −1.18589 | − | 0.495645i | ||||
\(729\) | −11.7996 | + | 11.7996i | −0.437022 | + | 0.437022i | ||||
\(730\) | 5.75938 | − | 0.810207i | 0.213164 | − | 0.0299871i | ||||
\(731\) | 1.13803 | − | 0.471389i | 0.0420917 | − | 0.0174349i | ||||
\(732\) | −1.54280 | − | 5.37498i | −0.0570234 | − | 0.198665i | ||||
\(733\) | 16.0107 | + | 38.6533i | 0.591369 | + | 1.42769i | 0.882180 | + | 0.470912i | \(0.156075\pi\) |
−0.290811 | + | 0.956781i | \(0.593925\pi\) | |||||||
\(734\) | 0.0657820 | + | 0.111642i | 0.00242806 | + | 0.00412077i | ||||
\(735\) | 0.958657 | + | 0.958657i | 0.0353606 | + | 0.0353606i | ||||
\(736\) | −14.9582 | + | 4.72723i | −0.551368 | + | 0.174248i | ||||
\(737\) | 5.36813 | 0.197738 | ||||||||
\(738\) | 19.7075 | + | 5.09393i | 0.725445 | + | 0.187510i | ||||
\(739\) | 7.55717 | + | 18.2446i | 0.277995 | + | 0.671140i | 0.999780 | − | 0.0209779i | \(-0.00667796\pi\) |
−0.721785 | + | 0.692118i | \(0.756678\pi\) | |||||||
\(740\) | 2.67068 | + | 9.30446i | 0.0981763 | + | 0.342039i | ||||
\(741\) | 11.2887 | + | 5.07462i | 0.414701 | + | 0.186421i | ||||
\(742\) | 24.4121 | + | 18.3908i | 0.896198 | + | 0.675147i | ||||
\(743\) | − | 5.38877i | − | 0.197695i | −0.995103 | − | 0.0988473i | \(-0.968484\pi\) | ||
0.995103 | − | 0.0988473i | \(-0.0315155\pi\) | |||||||
\(744\) | 1.31037 | + | 2.94000i | 0.0480407 | + | 0.107786i | ||||
\(745\) | −0.711244 | + | 0.711244i | −0.0260580 | + | 0.0260580i | ||||
\(746\) | −31.1150 | − | 23.4404i | −1.13920 | − | 0.858214i | ||||
\(747\) | −1.07690 | + | 2.59987i | −0.0394017 | + | 0.0951241i | ||||
\(748\) | 6.64257 | − | 5.28662i | 0.242876 | − | 0.193298i | ||||
\(749\) | 4.61580 | + | 11.1435i | 0.168658 | + | 0.407176i | ||||
\(750\) | 3.46142 | − | 2.03955i | 0.126393 | − | 0.0744739i | ||||
\(751\) | − | 16.8043i | − | 0.613198i | −0.951839 | − | 0.306599i | \(-0.900809\pi\) | ||
0.951839 | − | 0.306599i | \(-0.0991910\pi\) | |||||||
\(752\) | −8.80370 | − | 2.02757i | −0.321038 | − | 0.0739379i | ||||
\(753\) | −4.65774 | −0.169738 | ||||||||
\(754\) | 1.26320 | − | 4.34859i | 0.0460030 | − | 0.158366i | ||||
\(755\) | 2.10632 | + | 0.872465i | 0.0766567 | + | 0.0317523i | ||||
\(756\) | 2.00246 | − | 17.6170i | 0.0728288 | − | 0.640722i | ||||
\(757\) | −6.65507 | + | 2.75662i | −0.241882 | + | 0.100191i | −0.500332 | − | 0.865834i | \(-0.666789\pi\) |
0.258449 | + | 0.966025i | \(0.416789\pi\) | |||||||
\(758\) | 1.44459 | + | 10.2689i | 0.0524700 | + | 0.372984i | ||||
\(759\) | −2.29518 | −0.0833099 | ||||||||
\(760\) | −14.2601 | + | 0.379096i | −0.517270 | + | 0.0137513i | ||||
\(761\) | − | 47.0672i | − | 1.70618i | −0.521761 | − | 0.853092i | \(-0.674725\pi\) | ||
0.521761 | − | 0.853092i | \(-0.325275\pi\) | |||||||
\(762\) | −11.2574 | + | 1.58365i | −0.407813 | + | 0.0573696i | ||||
\(763\) | 28.4379 | − | 11.7794i | 1.02952 | − | 0.426442i | ||||
\(764\) | −23.3029 | − | 12.9089i | −0.843069 | − | 0.467028i | ||||
\(765\) | −3.93806 | + | 1.63120i | −0.142381 | + | 0.0589760i | ||||
\(766\) | −9.05600 | − | 2.34076i | −0.327207 | − | 0.0845751i | ||||
\(767\) | 17.4700 | − | 16.4598i | 0.630806 | − | 0.594330i | ||||
\(768\) | 4.77282 | + | 5.38316i | 0.172224 | + | 0.194248i | ||||
\(769\) | −34.4629 | − |