Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,3,Mod(3,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([33, 32]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.k (of order \(44\), 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: | \(6.26704608029\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 3.8 | ||
Character | \(\chi\) | \(=\) | 230.3 |
Dual form | 230.3.k.a.77.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{8}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.13214 | − | 0.847507i | −0.566068 | − | 0.423753i | ||||
\(3\) | 1.09130 | − | 0.407033i | 0.363766 | − | 0.135678i | −0.160933 | − | 0.986965i | \(-0.551450\pi\) |
0.524700 | + | 0.851287i | \(0.324178\pi\) | |||||||
\(4\) | 0.563465 | + | 1.91899i | 0.140866 | + | 0.479746i | ||||
\(5\) | −4.93104 | − | 0.827554i | −0.986208 | − | 0.165511i | ||||
\(6\) | −1.58046 | − | 0.464066i | −0.263410 | − | 0.0773443i | ||||
\(7\) | 0.600939 | − | 2.76247i | 0.0858484 | − | 0.394639i | −0.914093 | − | 0.405506i | \(-0.867095\pi\) |
0.999941 | + | 0.0108668i | \(0.00345909\pi\) | |||||||
\(8\) | 0.988434 | − | 2.65009i | 0.123554 | − | 0.331262i | ||||
\(9\) | −5.77649 | + | 5.00536i | −0.641832 | + | 0.556151i | ||||
\(10\) | 4.88125 | + | 5.11599i | 0.488125 | + | 0.511599i | ||||
\(11\) | 0.858626 | − | 5.97188i | 0.0780569 | − | 0.542898i | −0.912844 | − | 0.408308i | \(-0.866119\pi\) |
0.990901 | − | 0.134590i | \(-0.0429718\pi\) | |||||||
\(12\) | 1.39600 | + | 1.86484i | 0.116333 | + | 0.155403i | ||||
\(13\) | 4.64745 | + | 21.3640i | 0.357496 | + | 1.64338i | 0.707557 | + | 0.706656i | \(0.249797\pi\) |
−0.350061 | + | 0.936727i | \(0.613839\pi\) | |||||||
\(14\) | −3.02156 | + | 2.61819i | −0.215826 | + | 0.187014i | ||||
\(15\) | −5.71808 | + | 1.10399i | −0.381205 | + | 0.0735993i | ||||
\(16\) | −3.36501 | + | 2.16256i | −0.210313 | + | 0.135160i | ||||
\(17\) | −24.2736 | + | 13.2544i | −1.42786 | + | 0.779669i | −0.992691 | − | 0.120681i | \(-0.961492\pi\) |
−0.435166 | + | 0.900350i | \(0.643310\pi\) | |||||||
\(18\) | 10.7818 | − | 0.771133i | 0.598991 | − | 0.0428407i | ||||
\(19\) | −3.09895 | − | 10.5541i | −0.163103 | − | 0.555477i | −0.999967 | − | 0.00806740i | \(-0.997432\pi\) |
0.836865 | − | 0.547410i | \(-0.184386\pi\) | |||||||
\(20\) | −1.19040 | − | 9.92889i | −0.0595202 | − | 0.496445i | ||||
\(21\) | −0.468614 | − | 3.25928i | −0.0223150 | − | 0.155204i | ||||
\(22\) | −6.03329 | + | 6.03329i | −0.274240 | + | 0.274240i | ||||
\(23\) | −22.3034 | + | 5.61763i | −0.969714 | + | 0.244245i | ||||
\(24\) | − | 3.29437i | − | 0.137265i | ||||||
\(25\) | 23.6303 | + | 8.16140i | 0.945212 | + | 0.326456i | ||||
\(26\) | 12.8446 | − | 28.1257i | 0.494022 | − | 1.08176i | ||||
\(27\) | −9.29031 | + | 17.0139i | −0.344086 | + | 0.630146i | ||||
\(28\) | 5.63975 | − | 0.403363i | 0.201420 | − | 0.0144058i | ||||
\(29\) | −8.30519 | + | 28.2849i | −0.286386 | + | 0.975341i | 0.683127 | + | 0.730300i | \(0.260620\pi\) |
−0.969513 | + | 0.245041i | \(0.921199\pi\) | |||||||
\(30\) | 7.40928 | + | 3.59624i | 0.246976 | + | 0.119875i | ||||
\(31\) | 2.05217 | + | 4.49364i | 0.0661992 | + | 0.144956i | 0.939840 | − | 0.341616i | \(-0.110974\pi\) |
−0.873640 | + | 0.486572i | \(0.838247\pi\) | |||||||
\(32\) | 5.64244 | + | 0.403555i | 0.176326 | + | 0.0126111i | ||||
\(33\) | −1.49374 | − | 6.86659i | −0.0452647 | − | 0.208079i | ||||
\(34\) | 38.7142 | + | 5.56626i | 1.13865 | + | 0.163713i | ||||
\(35\) | −5.24935 | + | 13.1245i | −0.149981 | + | 0.374987i | ||||
\(36\) | −12.8601 | − | 8.26466i | −0.357224 | − | 0.229574i | ||||
\(37\) | −13.2179 | − | 0.945361i | −0.357240 | − | 0.0255503i | −0.108434 | − | 0.994104i | \(-0.534584\pi\) |
−0.248806 | + | 0.968553i | \(0.580038\pi\) | |||||||
\(38\) | −5.43620 | + | 14.5750i | −0.143058 | + | 0.383553i | ||||
\(39\) | 13.7676 | + | 21.4228i | 0.353016 | + | 0.549303i | ||||
\(40\) | −7.06710 | + | 12.2497i | −0.176678 | + | 0.306243i | ||||
\(41\) | −0.304445 | + | 0.351348i | −0.00742549 | + | 0.00856947i | −0.759450 | − | 0.650565i | \(-0.774532\pi\) |
0.752025 | + | 0.659135i | \(0.229077\pi\) | |||||||
\(42\) | −2.23173 | + | 4.08711i | −0.0531364 | + | 0.0973121i | ||||
\(43\) | −59.0054 | + | 22.0079i | −1.37222 | + | 0.511811i | −0.924096 | − | 0.382161i | \(-0.875180\pi\) |
−0.448123 | + | 0.893972i | \(0.647907\pi\) | |||||||
\(44\) | 11.9438 | − | 1.71725i | 0.271449 | − | 0.0390285i | ||||
\(45\) | 32.6263 | − | 19.9013i | 0.725029 | − | 0.442250i | ||||
\(46\) | 30.0115 | + | 12.5424i | 0.652424 | + | 0.272660i | ||||
\(47\) | 42.8922 | − | 42.8922i | 0.912600 | − | 0.912600i | −0.0838764 | − | 0.996476i | \(-0.526730\pi\) |
0.996476 | + | 0.0838764i | \(0.0267301\pi\) | |||||||
\(48\) | −2.79200 | + | 3.72968i | −0.0581667 | + | 0.0777016i | ||||
\(49\) | 37.3018 | + | 17.0352i | 0.761262 | + | 0.347657i | ||||
\(50\) | −19.8359 | − | 29.2667i | −0.396718 | − | 0.585333i | ||||
\(51\) | −21.0948 | + | 24.3446i | −0.413623 | + | 0.477346i | ||||
\(52\) | −38.3785 | + | 20.9562i | −0.738048 | + | 0.403005i | ||||
\(53\) | −34.5685 | − | 7.51991i | −0.652236 | − | 0.141885i | −0.125740 | − | 0.992063i | \(-0.540131\pi\) |
−0.526495 | + | 0.850178i | \(0.676494\pi\) | |||||||
\(54\) | 24.9373 | − | 11.3885i | 0.461802 | − | 0.210898i | ||||
\(55\) | −9.17597 | + | 28.7370i | −0.166836 | + | 0.522491i | ||||
\(56\) | −6.72682 | − | 4.32307i | −0.120122 | − | 0.0771976i | ||||
\(57\) | −7.67774 | − | 10.2563i | −0.134697 | − | 0.179934i | ||||
\(58\) | 33.3742 | − | 24.9836i | 0.575418 | − | 0.430752i | ||||
\(59\) | −5.36430 | + | 8.34701i | −0.0909203 | + | 0.141475i | −0.883734 | − | 0.467989i | \(-0.844979\pi\) |
0.792814 | + | 0.609464i | \(0.208615\pi\) | |||||||
\(60\) | −5.34048 | − | 10.3509i | −0.0890080 | − | 0.172514i | ||||
\(61\) | −3.71219 | − | 8.12856i | −0.0608556 | − | 0.133255i | 0.876761 | − | 0.480927i | \(-0.159700\pi\) |
−0.937616 | + | 0.347672i | \(0.886972\pi\) | |||||||
\(62\) | 1.48504 | − | 6.82664i | 0.0239523 | − | 0.110107i | ||||
\(63\) | 10.3558 | + | 18.9653i | 0.164378 | + | 0.301037i | ||||
\(64\) | −6.04600 | − | 5.23889i | −0.0944687 | − | 0.0818576i | ||||
\(65\) | −5.23692 | − | 109.193i | −0.0805679 | − | 1.67989i | ||||
\(66\) | −4.12837 | + | 9.03987i | −0.0625510 | + | 0.136968i | ||||
\(67\) | 20.1320 | + | 15.0706i | 0.300477 | + | 0.224934i | 0.738868 | − | 0.673850i | \(-0.235361\pi\) |
−0.438391 | + | 0.898784i | \(0.644452\pi\) | |||||||
\(68\) | −39.1123 | − | 39.1123i | −0.575181 | − | 0.575181i | ||||
\(69\) | −22.0531 | + | 15.2087i | −0.319610 | + | 0.220417i | ||||
\(70\) | 17.0661 | − | 10.4099i | 0.243802 | − | 0.148713i | ||||
\(71\) | −8.80880 | − | 61.2665i | −0.124068 | − | 0.862909i | −0.952872 | − | 0.303371i | \(-0.901888\pi\) |
0.828805 | − | 0.559538i | \(-0.189021\pi\) | |||||||
\(72\) | 7.55499 | + | 20.2557i | 0.104930 | + | 0.281329i | ||||
\(73\) | −76.3110 | − | 41.6689i | −1.04536 | − | 0.570807i | −0.137679 | − | 0.990477i | \(-0.543964\pi\) |
−0.907677 | + | 0.419670i | \(0.862146\pi\) | |||||||
\(74\) | 14.1632 | + | 12.2725i | 0.191395 | + | 0.165845i | ||||
\(75\) | 29.1097 | − | 0.711798i | 0.388129 | − | 0.00949064i | ||||
\(76\) | 18.5070 | − | 11.8937i | 0.243513 | − | 0.156496i | ||||
\(77\) | −15.9812 | − | 5.96066i | −0.207548 | − | 0.0774112i | ||||
\(78\) | 2.56917 | − | 35.9217i | 0.0329381 | − | 0.460534i | ||||
\(79\) | 68.5299 | − | 106.635i | 0.867468 | − | 1.34981i | −0.0684747 | − | 0.997653i | \(-0.521813\pi\) |
0.935942 | − | 0.352153i | \(-0.114550\pi\) | |||||||
\(80\) | 18.3827 | − | 7.87896i | 0.229783 | − | 0.0984869i | ||||
\(81\) | 6.57665 | − | 45.7416i | 0.0811932 | − | 0.564711i | ||||
\(82\) | 0.642443 | − | 0.139755i | 0.00783467 | − | 0.00170433i | ||||
\(83\) | 9.66915 | − | 135.192i | 0.116496 | − | 1.62882i | −0.517637 | − | 0.855600i | \(-0.673188\pi\) |
0.634133 | − | 0.773224i | \(-0.281357\pi\) | |||||||
\(84\) | 5.99047 | − | 2.73576i | 0.0713151 | − | 0.0325685i | ||||
\(85\) | 130.663 | − | 45.2702i | 1.53721 | − | 0.532590i | ||||
\(86\) | 85.4540 | + | 25.0916i | 0.993651 | + | 0.291762i | ||||
\(87\) | 2.44945 | + | 34.2477i | 0.0281546 | + | 0.393652i | ||||
\(88\) | −14.9773 | − | 8.17825i | −0.170197 | − | 0.0929346i | ||||
\(89\) | 7.24681 | + | 3.30951i | 0.0814248 | + | 0.0371855i | 0.455711 | − | 0.890128i | \(-0.349385\pi\) |
−0.374286 | + | 0.927313i | \(0.622112\pi\) | |||||||
\(90\) | −53.8039 | − | 5.12007i | −0.597821 | − | 0.0568897i | ||||
\(91\) | 61.8102 | 0.679233 | ||||||||
\(92\) | −23.3473 | − | 39.6346i | −0.253776 | − | 0.430811i | ||||
\(93\) | 4.06860 | + | 4.06860i | 0.0437483 | + | 0.0437483i | ||||
\(94\) | −84.9112 | + | 12.2084i | −0.903311 | + | 0.129876i | ||||
\(95\) | 6.54701 | + | 54.6071i | 0.0689159 | + | 0.574811i | ||||
\(96\) | 6.32185 | − | 1.85626i | 0.0658526 | − | 0.0193361i | ||||
\(97\) | 4.52214 | + | 63.2278i | 0.0466200 | + | 0.651833i | 0.966013 | + | 0.258493i | \(0.0832259\pi\) |
−0.919393 | + | 0.393340i | \(0.871320\pi\) | |||||||
\(98\) | −27.7933 | − | 50.8997i | −0.283606 | − | 0.519385i | ||||
\(99\) | 24.9315 | + | 38.7942i | 0.251834 | + | 0.391861i | ||||
\(100\) | −2.34676 | + | 49.9449i | −0.0234676 | + | 0.499449i | ||||
\(101\) | −89.3578 | − | 103.124i | −0.884731 | − | 1.02103i | −0.999618 | − | 0.0276553i | \(-0.991196\pi\) |
0.114887 | − | 0.993379i | \(-0.463350\pi\) | |||||||
\(102\) | 44.5144 | − | 9.68351i | 0.436415 | − | 0.0949364i | ||||
\(103\) | −93.5217 | + | 70.0095i | −0.907978 | + | 0.679703i | −0.947582 | − | 0.319512i | \(-0.896481\pi\) |
0.0396047 | + | 0.999215i | \(0.487390\pi\) | |||||||
\(104\) | 61.2102 | + | 8.80070i | 0.588560 | + | 0.0846222i | ||||
\(105\) | −0.386477 | + | 16.4595i | −0.00368073 | + | 0.156757i | ||||
\(106\) | 32.7631 | + | 37.8106i | 0.309085 | + | 0.356704i | ||||
\(107\) | 75.5595 | + | 28.1822i | 0.706164 | + | 0.263385i | 0.676783 | − | 0.736183i | \(-0.263374\pi\) |
0.0293811 | + | 0.999568i | \(0.490646\pi\) | |||||||
\(108\) | −37.8843 | − | 8.24122i | −0.350780 | − | 0.0763076i | ||||
\(109\) | 11.0597 | − | 37.6658i | 0.101465 | − | 0.345558i | −0.893076 | − | 0.449906i | \(-0.851457\pi\) |
0.994541 | + | 0.104348i | \(0.0332756\pi\) | |||||||
\(110\) | 34.7432 | − | 24.7575i | 0.315848 | − | 0.225068i | ||||
\(111\) | −14.8094 | + | 4.34845i | −0.133418 | + | 0.0391752i | ||||
\(112\) | 3.95185 | + | 10.5953i | 0.0352844 | + | 0.0946011i | ||||
\(113\) | −130.004 | + | 173.665i | −1.15048 | + | 1.53686i | −0.350778 | + | 0.936459i | \(0.614083\pi\) |
−0.799700 | + | 0.600400i | \(0.795008\pi\) | |||||||
\(114\) | 18.1184i | 0.158934i | ||||||||
\(115\) | 114.628 | − | 9.24349i | 0.996764 | − | 0.0803781i | ||||
\(116\) | −58.9580 | −0.508258 | ||||||||
\(117\) | −133.780 | − | 100.147i | −1.14342 | − | 0.855954i | ||||
\(118\) | 13.1473 | − | 4.90368i | 0.111418 | − | 0.0415566i | ||||
\(119\) | 22.0279 | + | 75.0202i | 0.185108 | + | 0.630421i | ||||
\(120\) | −2.72627 | + | 16.2447i | −0.0227189 | + | 0.135372i | ||||
\(121\) | 81.1726 | + | 23.8344i | 0.670848 | + | 0.196979i | ||||
\(122\) | −2.68630 | + | 12.3487i | −0.0220189 | + | 0.101219i | ||||
\(123\) | −0.189230 | + | 0.507345i | −0.00153845 | + | 0.00412476i | ||||
\(124\) | −7.46690 | + | 6.47010i | −0.0602169 | + | 0.0521782i | ||||
\(125\) | −109.768 | − | 59.7995i | −0.878144 | − | 0.478396i | ||||
\(126\) | 4.34900 | − | 30.2479i | 0.0345159 | − | 0.240063i | ||||
\(127\) | 94.2670 | + | 125.926i | 0.742260 | + | 0.991543i | 0.999681 | + | 0.0252437i | \(0.00803616\pi\) |
−0.257422 | + | 0.966299i | \(0.582873\pi\) | |||||||
\(128\) | 2.40490 | + | 11.0552i | 0.0187883 | + | 0.0863684i | ||||
\(129\) | −55.4346 | + | 48.0343i | −0.429725 | + | 0.372359i | ||||
\(130\) | −86.6126 | + | 128.059i | −0.666251 | + | 0.985071i | ||||
\(131\) | −39.1011 | + | 25.1287i | −0.298481 | + | 0.191822i | −0.681306 | − | 0.731999i | \(-0.738588\pi\) |
0.382825 | + | 0.923821i | \(0.374951\pi\) | |||||||
\(132\) | 12.3352 | − | 6.73554i | 0.0934487 | − | 0.0510268i | ||||
\(133\) | −31.0176 | + | 2.21842i | −0.233215 | + | 0.0166799i | ||||
\(134\) | −10.0197 | − | 34.1239i | −0.0747738 | − | 0.254656i | ||||
\(135\) | 59.8909 | − | 76.2082i | 0.443636 | − | 0.564505i | ||||
\(136\) | 11.1325 | + | 77.4283i | 0.0818567 | + | 0.569326i | ||||
\(137\) | −138.885 | + | 138.885i | −1.01376 | + | 1.01376i | −0.0138519 | + | 0.999904i | \(0.504409\pi\) |
−0.999904 | + | 0.0138519i | \(0.995591\pi\) | |||||||
\(138\) | 37.8567 | + | 1.47179i | 0.274324 | + | 0.0106652i | ||||
\(139\) | 254.900i | 1.83381i | 0.399103 | + | 0.916906i | \(0.369322\pi\) | ||||
−0.399103 | + | 0.916906i | \(0.630678\pi\) | |||||||
\(140\) | −28.1436 | − | 2.67820i | −0.201026 | − | 0.0191300i | ||||
\(141\) | 29.3496 | − | 64.2667i | 0.208153 | − | 0.455792i | ||||
\(142\) | −41.9510 | + | 76.8276i | −0.295430 | + | 0.541039i | ||||
\(143\) | 131.573 | − | 9.41032i | 0.920094 | − | 0.0658064i | ||||
\(144\) | 8.61357 | − | 29.3351i | 0.0598164 | − | 0.203716i | ||||
\(145\) | 64.3605 | − | 132.601i | 0.443865 | − | 0.914489i | ||||
\(146\) | 51.0797 | + | 111.849i | 0.349861 | + | 0.766089i | ||||
\(147\) | 47.6413 | + | 3.40738i | 0.324091 | + | 0.0231794i | ||||
\(148\) | −5.63368 | − | 25.8976i | −0.0380654 | − | 0.174984i | ||||
\(149\) | 120.489 | + | 17.3237i | 0.808650 | + | 0.116266i | 0.534225 | − | 0.845342i | \(-0.320603\pi\) |
0.274425 | + | 0.961608i | \(0.411512\pi\) | |||||||
\(150\) | −33.5594 | − | 23.8648i | −0.223729 | − | 0.159099i | ||||
\(151\) | 34.4197 | + | 22.1202i | 0.227945 | + | 0.146491i | 0.649629 | − | 0.760252i | \(-0.274924\pi\) |
−0.421684 | + | 0.906743i | \(0.638561\pi\) | |||||||
\(152\) | −31.0324 | − | 2.21948i | −0.204160 | − | 0.0146018i | ||||
\(153\) | 73.8732 | − | 198.062i | 0.482831 | − | 1.29452i | ||||
\(154\) | 13.0411 | + | 20.2924i | 0.0846828 | + | 0.131769i | ||||
\(155\) | −6.40063 | − | 23.8566i | −0.0412944 | − | 0.153913i | ||||
\(156\) | −33.3525 | + | 38.4908i | −0.213798 | + | 0.246736i | ||||
\(157\) | 93.1025 | − | 170.504i | 0.593009 | − | 1.08602i | −0.393034 | − | 0.919524i | \(-0.628574\pi\) |
0.986043 | − | 0.166491i | \(-0.0532438\pi\) | |||||||
\(158\) | −167.959 | + | 62.6454i | −1.06303 | + | 0.396490i | ||||
\(159\) | −40.7854 | + | 5.86405i | −0.256512 | + | 0.0368808i | ||||
\(160\) | −27.4891 | − | 6.65937i | −0.171807 | − | 0.0416211i | ||||
\(161\) | 2.11556 | + | 64.9884i | 0.0131401 | + | 0.403655i | ||||
\(162\) | −46.2119 | + | 46.2119i | −0.285259 | + | 0.285259i | ||||
\(163\) | 33.1774 | − | 44.3199i | 0.203543 | − | 0.271901i | −0.687142 | − | 0.726523i | \(-0.741135\pi\) |
0.890684 | + | 0.454622i | \(0.150226\pi\) | |||||||
\(164\) | −0.845777 | − | 0.386253i | −0.00515717 | − | 0.00235520i | ||||
\(165\) | 1.68320 | + | 35.0956i | 0.0102012 | + | 0.212700i | ||||
\(166\) | −125.523 | + | 144.862i | −0.756164 | + | 0.872660i | ||||
\(167\) | −272.055 | + | 148.553i | −1.62907 | + | 0.889540i | −0.636044 | + | 0.771653i | \(0.719430\pi\) |
−0.993027 | + | 0.117887i | \(0.962388\pi\) | |||||||
\(168\) | −9.10060 | − | 1.97972i | −0.0541703 | − | 0.0117840i | ||||
\(169\) | −281.093 | + | 128.371i | −1.66327 | + | 0.759591i | ||||
\(170\) | −186.295 | − | 59.4855i | −1.09585 | − | 0.349915i | ||||
\(171\) | 70.7280 | + | 45.4541i | 0.413614 | + | 0.265813i | ||||
\(172\) | −75.4803 | − | 100.830i | −0.438839 | − | 0.586220i | ||||
\(173\) | 94.4603 | − | 70.7121i | 0.546013 | − | 0.408740i | −0.290346 | − | 0.956922i | \(-0.593770\pi\) |
0.836360 | + | 0.548181i | \(0.184680\pi\) | |||||||
\(174\) | 26.2521 | − | 40.8490i | 0.150874 | − | 0.234765i | ||||
\(175\) | 36.7460 | − | 60.3736i | 0.209977 | − | 0.344992i | ||||
\(176\) | 10.0253 | + | 21.9523i | 0.0569618 | + | 0.124729i | ||||
\(177\) | −2.45654 | + | 11.2925i | −0.0138788 | + | 0.0637996i | ||||
\(178\) | −5.39955 | − | 9.88853i | −0.0303345 | − | 0.0555535i | ||||
\(179\) | 8.90418 | + | 7.71552i | 0.0497440 | + | 0.0431034i | 0.679378 | − | 0.733788i | \(-0.262250\pi\) |
−0.629634 | + | 0.776892i | \(0.716795\pi\) | |||||||
\(180\) | 56.5740 | + | 51.3958i | 0.314300 | + | 0.285532i | ||||
\(181\) | 10.4365 | − | 22.8528i | 0.0576604 | − | 0.126259i | −0.878609 | − | 0.477543i | \(-0.841528\pi\) |
0.936269 | + | 0.351284i | \(0.114255\pi\) | |||||||
\(182\) | −69.9776 | − | 52.3846i | −0.384492 | − | 0.287827i | ||||
\(183\) | −7.35970 | − | 7.35970i | −0.0402170 | − | 0.0402170i | ||||
\(184\) | −7.15820 | + | 64.6588i | −0.0389033 | + | 0.351407i | ||||
\(185\) | 64.3956 | + | 15.6001i | 0.348084 | + | 0.0843250i | ||||
\(186\) | −1.15804 | − | 8.05437i | −0.00622604 | − | 0.0433030i | ||||
\(187\) | 58.3116 | + | 156.339i | 0.311827 | + | 0.836040i | ||||
\(188\) | 106.478 | + | 58.1413i | 0.566371 | + | 0.309262i | ||||
\(189\) | 41.4176 | + | 35.8886i | 0.219141 | + | 0.189887i | ||||
\(190\) | 38.8678 | − | 67.3713i | 0.204567 | − | 0.354586i | ||||
\(191\) | 237.121 | − | 152.388i | 1.24147 | − | 0.797845i | 0.255834 | − | 0.966721i | \(-0.417650\pi\) |
0.985637 | + | 0.168876i | \(0.0540137\pi\) | |||||||
\(192\) | −8.73039 | − | 3.25627i | −0.0454708 | − | 0.0169597i | ||||
\(193\) | −23.3532 | + | 326.521i | −0.121001 | + | 1.69182i | 0.468035 | + | 0.883710i | \(0.344962\pi\) |
−0.589036 | + | 0.808107i | \(0.700492\pi\) | |||||||
\(194\) | 48.4663 | − | 75.4150i | 0.249826 | − | 0.388737i | ||||
\(195\) | −50.1601 | − | 117.030i | −0.257231 | − | 0.600155i | ||||
\(196\) | −11.6720 | + | 81.1804i | −0.0595510 | + | 0.414186i | ||||
\(197\) | 295.878 | − | 64.3643i | 1.50192 | − | 0.326722i | 0.614955 | − | 0.788562i | \(-0.289174\pi\) |
0.886963 | + | 0.461840i | \(0.152811\pi\) | |||||||
\(198\) | 4.65247 | − | 65.0500i | 0.0234973 | − | 0.328535i | ||||
\(199\) | −188.486 | + | 86.0788i | −0.947168 | + | 0.432557i | −0.828257 | − | 0.560348i | \(-0.810667\pi\) |
−0.118910 | + | 0.992905i | \(0.537940\pi\) | |||||||
\(200\) | 44.9855 | − | 54.5555i | 0.224927 | − | 0.272778i | ||||
\(201\) | 28.1042 | + | 8.25214i | 0.139822 | + | 0.0410554i | ||||
\(202\) | 13.7666 | + | 192.482i | 0.0681515 | + | 0.952882i | ||||
\(203\) | 73.1453 | + | 39.9403i | 0.360322 | + | 0.196750i | ||||
\(204\) | −58.6032 | − | 26.7632i | −0.287270 | − | 0.131192i | ||||
\(205\) | 1.79199 | − | 1.48057i | 0.00874141 | − | 0.00722228i | ||||
\(206\) | 165.213 | 0.802004 | ||||||||
\(207\) | 100.717 | − | 144.087i | 0.486556 | − | 0.696071i | ||||
\(208\) | −61.8397 | − | 61.8397i | −0.297306 | − | 0.297306i | ||||
\(209\) | −65.6884 | + | 9.44457i | −0.314299 | + | 0.0451893i | ||||
\(210\) | 14.3870 | − | 18.3068i | 0.0685098 | − | 0.0871753i | ||||
\(211\) | −63.2407 | + | 18.5691i | −0.299719 | + | 0.0880054i | −0.428135 | − | 0.903715i | \(-0.640829\pi\) |
0.128416 | + | 0.991720i | \(0.459011\pi\) | |||||||
\(212\) | −5.04753 | − | 70.5736i | −0.0238091 | − | 0.332895i | ||||
\(213\) | −34.5506 | − | 63.2746i | −0.162209 | − | 0.297064i | ||||
\(214\) | −61.6590 | − | 95.9433i | −0.288126 | − | 0.448333i | ||||
\(215\) | 309.171 | − | 59.6916i | 1.43800 | − | 0.277635i | ||||
\(216\) | 35.9057 | + | 41.4374i | 0.166230 | + | 0.191840i | ||||
\(217\) | 13.6468 | − | 2.96867i | 0.0628884 | − | 0.0136805i | ||||
\(218\) | −44.4431 | + | 33.2697i | −0.203868 | + | 0.152613i | ||||
\(219\) | −100.239 | − | 14.4121i | −0.457711 | − | 0.0658089i | ||||
\(220\) | −60.3162 | − | 1.41626i | −0.274165 | − | 0.00643753i | ||||
\(221\) | −395.976 | − | 456.981i | −1.79175 | − | 2.06779i | ||||
\(222\) | 20.4517 | + | 7.62807i | 0.0921246 | + | 0.0343607i | ||||
\(223\) | −175.847 | − | 38.2531i | −0.788550 | − | 0.171539i | −0.199782 | − | 0.979840i | \(-0.564023\pi\) |
−0.588768 | + | 0.808302i | \(0.700387\pi\) | |||||||
\(224\) | 4.50557 | − | 15.3446i | 0.0201142 | − | 0.0685026i | ||||
\(225\) | −177.351 | + | 71.1339i | −0.788226 | + | 0.316151i | ||||
\(226\) | 294.364 | − | 86.4332i | 1.30250 | − | 0.382448i | ||||
\(227\) | 54.9193 | + | 147.244i | 0.241935 | + | 0.648654i | 0.999994 | − | 0.00353286i | \(-0.00112455\pi\) |
−0.758058 | + | 0.652187i | \(0.773852\pi\) | |||||||
\(228\) | 15.3555 | − | 20.5125i | 0.0673486 | − | 0.0899672i | ||||
\(229\) | − | 123.654i | − | 0.539975i | −0.962864 | − | 0.269988i | \(-0.912980\pi\) | ||
0.962864 | − | 0.269988i | \(-0.0870196\pi\) | |||||||
\(230\) | −137.608 | − | 86.6830i | −0.598297 | − | 0.376883i | ||||
\(231\) | −19.8664 | −0.0860018 | ||||||||
\(232\) | 66.7485 | + | 49.9673i | 0.287709 | + | 0.215376i | ||||
\(233\) | 14.2418 | − | 5.31192i | 0.0611236 | − | 0.0227979i | −0.318716 | − | 0.947850i | \(-0.603252\pi\) |
0.379840 | + | 0.925052i | \(0.375979\pi\) | |||||||
\(234\) | 66.5825 | + | 226.759i | 0.284541 | + | 0.969057i | ||||
\(235\) | −246.999 | + | 176.007i | −1.05106 | + | 0.748968i | ||||
\(236\) | −19.0404 | − | 5.59076i | −0.0806796 | − | 0.0236897i | ||||
\(237\) | 31.3828 | − | 144.264i | 0.132417 | − | 0.608710i | ||||
\(238\) | 38.6415 | − | 103.602i | 0.162359 | − | 0.435302i | ||||
\(239\) | 63.2273 | − | 54.7867i | 0.264549 | − | 0.229233i | −0.512478 | − | 0.858700i | \(-0.671272\pi\) |
0.777027 | + | 0.629467i | \(0.216727\pi\) | |||||||
\(240\) | 16.8540 | − | 16.0806i | 0.0702249 | − | 0.0670027i | ||||
\(241\) | 23.8385 | − | 165.801i | 0.0989150 | − | 0.687969i | −0.878670 | − | 0.477429i | \(-0.841569\pi\) |
0.977585 | − | 0.210540i | \(-0.0675222\pi\) | |||||||
\(242\) | −71.6986 | − | 95.7781i | −0.296275 | − | 0.395777i | ||||
\(243\) | −48.5268 | − | 223.074i | −0.199699 | − | 0.917999i | ||||
\(244\) | 13.5069 | − | 11.7038i | 0.0553562 | − | 0.0479664i | ||||
\(245\) | −169.839 | − | 114.870i | −0.693222 | − | 0.468859i | ||||
\(246\) | 0.644212 | − | 0.414010i | 0.00261875 | − | 0.00168297i | ||||
\(247\) | 211.075 | − | 115.255i | 0.854553 | − | 0.466621i | ||||
\(248\) | 13.9370 | − | 0.996794i | 0.0561976 | − | 0.00401933i | ||||
\(249\) | −44.4759 | − | 151.471i | −0.178618 | − | 0.608317i | ||||
\(250\) | 73.5918 | + | 160.730i | 0.294367 | + | 0.642921i | ||||
\(251\) | 29.1560 | + | 202.784i | 0.116159 | + | 0.807905i | 0.961722 | + | 0.274028i | \(0.0883562\pi\) |
−0.845562 | + | 0.533877i | \(0.820735\pi\) | |||||||
\(252\) | −30.5590 | + | 30.5590i | −0.121266 | + | 0.121266i | ||||
\(253\) | 14.3975 | + | 138.017i | 0.0569071 | + | 0.545520i | ||||
\(254\) | − | 222.457i | − | 0.875816i | ||||||
\(255\) | 124.166 | − | 102.587i | 0.486924 | − | 0.402303i | ||||
\(256\) | 6.64664 | − | 14.5541i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | −126.995 | + | 232.575i | −0.494145 | + | 0.904959i | 0.504980 | + | 0.863131i | \(0.331500\pi\) |
−0.999125 | + | 0.0418280i | \(0.986682\pi\) | |||||||
\(258\) | 103.469 | − | 7.40024i | 0.401042 | − | 0.0286831i | ||||
\(259\) | −10.5547 | + | 35.9459i | −0.0407516 | + | 0.138787i | ||||
\(260\) | 206.588 | − | 71.5758i | 0.794570 | − | 0.275292i | ||||
\(261\) | −93.6011 | − | 204.958i | −0.358625 | − | 0.785279i | ||||
\(262\) | 65.5645 | + | 4.68927i | 0.250246 | + | 0.0178980i | ||||
\(263\) | 60.4811 | + | 278.027i | 0.229966 | + | 1.05714i | 0.936829 | + | 0.349787i | \(0.113746\pi\) |
−0.706863 | + | 0.707350i | \(0.749890\pi\) | |||||||
\(264\) | −19.6736 | − | 2.82863i | −0.0745211 | − | 0.0107145i | ||||
\(265\) | 164.235 | + | 65.6883i | 0.619756 | + | 0.247880i | ||||
\(266\) | 36.9963 | + | 23.7761i | 0.139084 | + | 0.0893837i | ||||
\(267\) | 9.25551 | + | 0.661967i | 0.0346648 | + | 0.00247928i | ||||
\(268\) | −17.5766 | + | 47.1247i | −0.0655844 | + | 0.175838i | ||||
\(269\) | −18.1293 | − | 28.2097i | −0.0673950 | − | 0.104869i | 0.805920 | − | 0.592024i | \(-0.201671\pi\) |
−0.873315 | + | 0.487155i | \(0.838035\pi\) | |||||||
\(270\) | −132.392 | + | 35.5201i | −0.490339 | + | 0.131556i | ||||
\(271\) | −250.995 | + | 289.663i | −0.926180 | + | 1.06887i | 0.0712668 | + | 0.997457i | \(0.477296\pi\) |
−0.997447 | + | 0.0714116i | \(0.977250\pi\) | |||||||
\(272\) | 53.0175 | − | 97.0943i | 0.194917 | − | 0.356964i | ||||
\(273\) | 67.4534 | − | 25.1588i | 0.247082 | − | 0.0921568i | ||||
\(274\) | 274.942 | − | 39.5307i | 1.00344 | − | 0.144273i | ||||
\(275\) | 69.0285 | − | 134.110i | 0.251013 | − | 0.487672i | ||||
\(276\) | −41.6115 | − | 33.7500i | −0.150766 | − | 0.122283i | ||||
\(277\) | 35.3760 | − | 35.3760i | 0.127711 | − | 0.127711i | −0.640362 | − | 0.768073i | \(-0.721216\pi\) |
0.768073 | + | 0.640362i | \(0.221216\pi\) | |||||||
\(278\) | 216.029 | − | 288.581i | 0.777084 | − | 1.03806i | ||||
\(279\) | −34.3466 | − | 15.6856i | −0.123106 | − | 0.0562207i | ||||
\(280\) | 29.5927 | + | 26.8840i | 0.105688 | + | 0.0960143i | ||||
\(281\) | −144.466 | + | 166.723i | −0.514114 | + | 0.593319i | −0.952147 | − | 0.305640i | \(-0.901130\pi\) |
0.438034 | + | 0.898959i | \(0.355675\pi\) | |||||||
\(282\) | −87.6943 | + | 47.8847i | −0.310973 | + | 0.169804i | ||||
\(283\) | 83.0210 | + | 18.0601i | 0.293360 | + | 0.0638167i | 0.356837 | − | 0.934167i | \(-0.383855\pi\) |
−0.0634765 | + | 0.997983i | \(0.520219\pi\) | |||||||
\(284\) | 112.606 | − | 51.4255i | 0.396501 | − | 0.181076i | ||||
\(285\) | 29.3716 | + | 56.9278i | 0.103058 | + | 0.199747i | ||||
\(286\) | −156.934 | − | 100.856i | −0.548722 | − | 0.352642i | ||||
\(287\) | 0.787637 | + | 1.05216i | 0.00274438 | + | 0.00366606i | ||||
\(288\) | −34.6134 | + | 25.9113i | −0.120186 | + | 0.0899698i | ||||
\(289\) | 257.283 | − | 400.340i | 0.890252 | − | 1.38526i | ||||
\(290\) | −185.245 | + | 95.5763i | −0.638776 | + | 0.329574i | ||||
\(291\) | 30.6708 | + | 67.1598i | 0.105398 | + | 0.230790i | ||||
\(292\) | 36.9635 | − | 169.919i | 0.126587 | − | 0.581913i | ||||
\(293\) | 112.021 | + | 205.151i | 0.382324 | + | 0.700173i | 0.995997 | − | 0.0893865i | \(-0.0284906\pi\) |
−0.613673 | + | 0.789560i | \(0.710309\pi\) | |||||||
\(294\) | −51.0487 | − | 44.2340i | −0.173635 | − | 0.150456i | ||||
\(295\) | 33.3592 | − | 36.7202i | 0.113082 | − | 0.124475i | ||||
\(296\) | −15.5703 | + | 34.0942i | −0.0526024 | + | 0.115183i | ||||
\(297\) | 93.6282 | + | 70.0892i | 0.315247 | + | 0.235991i | ||||
\(298\) | −121.728 | − | 121.728i | −0.408483 | − | 0.408483i | ||||
\(299\) | −223.669 | − | 450.382i | −0.748056 | − | 1.50629i | ||||
\(300\) | 17.7682 | + | 55.4600i | 0.0592274 | + | 0.184867i | ||||
\(301\) | 25.3375 | + | 176.226i | 0.0841777 | + | 0.585469i | ||||
\(302\) | −20.2208 | − | 54.2140i | −0.0669562 | − | 0.179517i | ||||
\(303\) | −139.491 | − | 76.1679i | −0.460367 | − | 0.251379i | ||||
\(304\) | 33.2519 | + | 28.8129i | 0.109381 | + | 0.0947793i | ||||
\(305\) | 11.5781 | + | 43.1543i | 0.0379611 | + | 0.141489i | ||||
\(306\) | −251.493 | + | 161.625i | −0.821873 | + | 0.528186i | ||||
\(307\) | 372.920 | + | 139.092i | 1.21472 | + | 0.453068i | 0.873459 | − | 0.486899i | \(-0.161872\pi\) |
0.341265 | + | 0.939967i | \(0.389145\pi\) | |||||||
\(308\) | 2.43361 | − | 34.0262i | 0.00790132 | − | 0.110475i | ||||
\(309\) | −73.5639 | + | 114.468i | −0.238071 | + | 0.370446i | ||||
\(310\) | −12.9722 | + | 32.4335i | −0.0418459 | + | 0.104624i | ||||
\(311\) | −48.0893 | + | 334.468i | −0.154628 | + | 1.07546i | 0.753705 | + | 0.657213i | \(0.228265\pi\) |
−0.908333 | + | 0.418248i | \(0.862644\pi\) | |||||||
\(312\) | 70.3808 | − | 15.3104i | 0.225580 | − | 0.0490718i | ||||
\(313\) | −13.3495 | + | 186.650i | −0.0426501 | + | 0.596326i | 0.930520 | + | 0.366240i | \(0.119355\pi\) |
−0.973170 | + | 0.230086i | \(0.926099\pi\) | |||||||
\(314\) | −249.908 | + | 114.129i | −0.795886 | + | 0.363469i | ||||
\(315\) | −35.3702 | − | 102.089i | −0.112287 | − | 0.324091i | ||||
\(316\) | 243.245 | + | 71.4231i | 0.769762 | + | 0.226022i | ||||
\(317\) | −22.0601 | − | 308.440i | −0.0695902 | − | 0.972998i | −0.905559 | − | 0.424221i | \(-0.860548\pi\) |
0.835969 | − | 0.548777i | \(-0.184906\pi\) | |||||||
\(318\) | 51.1445 | + | 27.9270i | 0.160832 | + | 0.0878207i | ||||
\(319\) | 161.783 | + | 73.8837i | 0.507156 | + | 0.231610i | ||||
\(320\) | 25.4776 | + | 30.8365i | 0.0796175 | + | 0.0963642i | ||||
\(321\) | 93.9291 | 0.292614 | ||||||||
\(322\) | 52.6830 | − | 75.3687i | 0.163612 | − | 0.234064i | ||||
\(323\) | 215.110 | + | 215.110i | 0.665976 | + | 0.665976i | ||||
\(324\) | 91.4832 | − | 13.1533i | 0.282355 | − | 0.0405966i | ||||
\(325\) | −64.5393 | + | 542.767i | −0.198583 | + | 1.67005i | ||||
\(326\) | −75.1228 | + | 22.0580i | −0.230438 | + | 0.0676627i | ||||
\(327\) | −3.26183 | − | 45.6063i | −0.00997502 | − | 0.139469i | ||||
\(328\) | 0.630182 | + | 1.15409i | 0.00192129 | + | 0.00351857i | ||||
\(329\) | −92.7129 | − | 144.264i | −0.281802 | − | 0.438493i | ||||
\(330\) | 27.8381 | − | 41.1595i | 0.0843580 | − | 0.124726i | ||||
\(331\) | −360.931 | − | 416.536i | −1.09043 | − | 1.25842i | −0.963846 | − | 0.266461i | \(-0.914146\pi\) |
−0.126579 | − | 0.991956i | \(-0.540400\pi\) | |||||||
\(332\) | 264.881 | − | 57.6212i | 0.797833 | − | 0.173558i | ||||
\(333\) | 81.0848 | − | 60.6993i | 0.243498 | − | 0.182280i | ||||
\(334\) | 433.903 | + | 62.3858i | 1.29911 | + | 0.186784i | ||||
\(335\) | −86.7998 | − | 90.9740i | −0.259104 | − | 0.271564i | ||||
\(336\) | 8.62530 | + | 9.95413i | 0.0256705 | + | 0.0296254i | ||||
\(337\) | −341.979 | − | 127.551i | −1.01477 | − | 0.378491i | −0.213599 | − | 0.976921i | \(-0.568518\pi\) |
−0.801175 | + | 0.598431i | \(0.795791\pi\) | |||||||
\(338\) | 427.031 | + | 92.8948i | 1.26340 | + | 0.274837i | ||||
\(339\) | −71.1857 | + | 242.436i | −0.209987 | + | 0.715151i | ||||
\(340\) | 160.497 | + | 225.232i | 0.472049 | + | 0.662446i | ||||
\(341\) | 28.5975 | − | 8.39698i | 0.0838636 | − | 0.0246246i | ||||
\(342\) | −41.5510 | − | 111.403i | −0.121494 | − | 0.325739i | ||||
\(343\) | 152.491 | − | 203.705i | 0.444581 | − | 0.593891i | ||||
\(344\) | 178.123i | 0.517800i | ||||||||
\(345\) | 121.331 | − | 56.7448i | 0.351684 | − | 0.164478i | ||||
\(346\) | −166.871 | −0.482286 | ||||||||
\(347\) | −473.315 | − | 354.319i | −1.36402 | − | 1.02109i | −0.995819 | − | 0.0913453i | \(-0.970883\pi\) |
−0.368200 | − | 0.929747i | \(-0.620026\pi\) | |||||||
\(348\) | −64.3408 | + | 23.9979i | −0.184887 | + | 0.0689594i | ||||
\(349\) | −10.2157 | − | 34.7915i | −0.0292714 | − | 0.0996892i | 0.943562 | − | 0.331197i | \(-0.107452\pi\) |
−0.972833 | + | 0.231508i | \(0.925634\pi\) | |||||||
\(350\) | −92.7685 | + | 37.2086i | −0.265053 | + | 0.106310i | ||||
\(351\) | −406.662 | − | 119.407i | −1.15858 | − | 0.340190i | ||||
\(352\) | 7.25473 | − | 33.3495i | 0.0206100 | − | 0.0947428i | ||||
\(353\) | −102.801 | + | 275.619i | −0.291220 | + | 0.780790i | 0.706133 | + | 0.708079i | \(0.250438\pi\) |
−0.997353 | + | 0.0727114i | \(0.976835\pi\) | |||||||
\(354\) | 12.3516 | − | 10.7028i | 0.0348916 | − | 0.0302338i | ||||
\(355\) | −7.26482 | + | 309.397i | −0.0204643 | + | 0.871542i | ||||
\(356\) | −2.26757 | + | 15.7713i | −0.00636959 | + | 0.0443014i | ||||
\(357\) | 54.5747 | + | 72.9033i | 0.152870 | + | 0.204211i | ||||
\(358\) | −3.54179 | − | 16.2814i | −0.00989328 | − | 0.0454787i | ||||
\(359\) | −157.668 | + | 136.620i | −0.439187 | + | 0.380557i | −0.846200 | − | 0.532865i | \(-0.821115\pi\) |
0.407014 | + | 0.913422i | \(0.366570\pi\) | |||||||
\(360\) | −20.4913 | − | 106.134i | −0.0569202 | − | 0.294816i | ||||
\(361\) | 201.908 | − | 129.758i | 0.559301 | − | 0.359441i | ||||
\(362\) | −31.1835 | + | 17.0275i | −0.0861422 | + | 0.0470372i | ||||
\(363\) | 98.2849 | − | 7.02948i | 0.270757 | − | 0.0193649i | ||||
\(364\) | 34.8279 | + | 118.613i | 0.0956810 | + | 0.325860i | ||||
\(365\) | 341.809 | + | 268.623i | 0.936463 | + | 0.735952i | ||||
\(366\) | 2.09479 | + | 14.5696i | 0.00572347 | + | 0.0398076i | ||||
\(367\) | 285.298 | − | 285.298i | 0.777378 | − | 0.777378i | −0.202006 | − | 0.979384i | \(-0.564746\pi\) |
0.979384 | + | 0.202006i | \(0.0647461\pi\) | |||||||
\(368\) | 62.9028 | − | 67.1359i | 0.170932 | − | 0.182435i | ||||
\(369\) | − | 3.55342i | − | 0.00962985i | ||||||
\(370\) | −59.6833 | − | 72.2371i | −0.161306 | − | 0.195235i | ||||
\(371\) | −41.5471 | + | 90.9755i | −0.111987 | + | 0.245217i | ||||
\(372\) | −5.51507 | + | 10.1001i | −0.0148254 | + | 0.0271508i | ||||
\(373\) | −180.386 | + | 12.9015i | −0.483609 | + | 0.0345884i | −0.311016 | − | 0.950405i | \(-0.600669\pi\) |
−0.172593 | + | 0.984993i | \(0.555215\pi\) | |||||||
\(374\) | 66.4820 | − | 226.417i | 0.177759 | − | 0.605393i | ||||
\(375\) | −144.130 | − | 20.5799i | −0.384347 | − | 0.0548798i | ||||
\(376\) | −71.2722 | − | 156.064i | −0.189554 | − | 0.415065i | ||||
\(377\) | −642.875 | − | 45.9794i | −1.70524 | − | 0.121961i | ||||
\(378\) | −16.4746 | − | 75.7324i | −0.0435836 | − | 0.200350i | ||||
\(379\) | −535.914 | − | 77.0528i | −1.41402 | − | 0.203306i | −0.607410 | − | 0.794388i | \(-0.707792\pi\) |
−0.806611 | + | 0.591083i | \(0.798701\pi\) | |||||||
\(380\) | −101.101 | + | 43.3328i | −0.266056 | + | 0.114034i | ||||
\(381\) | 154.129 | + | 99.0530i | 0.404539 | + | 0.259982i | ||||
\(382\) | −397.603 | − | 28.4372i | −1.04085 | − | 0.0744428i | ||||
\(383\) | 34.0714 | − | 91.3491i | 0.0889594 | − | 0.238509i | −0.884850 | − | 0.465877i | \(-0.845739\pi\) |
0.973809 | + | 0.227367i | \(0.0730118\pi\) | |||||||
\(384\) | 7.12428 | + | 11.0856i | 0.0185528 | + | 0.0288688i | ||||
\(385\) | 73.8710 | + | 42.6175i | 0.191873 | + | 0.110695i | ||||
\(386\) | 303.167 | − | 349.874i | 0.785408 | − | 0.906409i | ||||
\(387\) | 230.687 | − | 422.471i | 0.596090 | − | 1.09166i | ||||
\(388\) | −118.785 | + | 44.3046i | −0.306147 | + | 0.114187i | ||||
\(389\) | 581.061 | − | 83.5439i | 1.49373 | − | 0.214766i | 0.653471 | − | 0.756952i | \(-0.273312\pi\) |
0.840258 | + | 0.542186i | \(0.182403\pi\) | |||||||
\(390\) | −42.3958 | + | 175.005i | −0.108707 | + | 0.448731i | ||||
\(391\) | 466.925 | − | 431.978i | 1.19418 | − | 1.10480i | ||||
\(392\) | 82.0152 | − | 82.0152i | 0.209223 | − | 0.209223i | ||||
\(393\) | −32.4427 | + | 43.3384i | −0.0825514 | + | 0.110276i | ||||
\(394\) | −389.523 | − | 177.889i | −0.988638 | − | 0.451496i | ||||
\(395\) | −426.170 | + | 469.108i | −1.07891 | + | 1.18761i | ||||
\(396\) | −60.3975 | + | 69.7024i | −0.152519 | + | 0.176016i | ||||
\(397\) | −77.2611 | + | 42.1877i | −0.194612 | + | 0.106266i | −0.573601 | − | 0.819135i | \(-0.694454\pi\) |
0.378988 | + | 0.925401i | \(0.376272\pi\) | |||||||
\(398\) | 286.345 | + | 62.2905i | 0.719459 | + | 0.156509i | ||||
\(399\) | −32.9465 | + | 15.0462i | −0.0825727 | + | 0.0377097i | ||||
\(400\) | −97.1659 | + | 23.6388i | −0.242915 | + | 0.0590970i | ||||
\(401\) | −14.4899 | − | 9.31208i | −0.0361344 | − | 0.0232221i | 0.522449 | − | 0.852671i | \(-0.325019\pi\) |
−0.558583 | + | 0.829448i | \(0.688655\pi\) | |||||||
\(402\) | −24.8241 | − | 33.1611i | −0.0617514 | − | 0.0824902i | ||||
\(403\) | −86.4646 | + | 64.7266i | −0.214552 | + | 0.160612i | ||||
\(404\) | 147.544 | − | 229.583i | 0.365209 | − | 0.568276i | ||||
\(405\) | −70.2833 | + | 220.111i | −0.173539 | + | 0.543484i | ||||
\(406\) | −48.9607 | − | 107.209i | −0.120593 | − | 0.264062i | ||||
\(407\) | −16.9948 | + | 78.1238i | −0.0417563 | + | 0.191950i | ||||
\(408\) | 43.6648 | + | 79.9661i | 0.107022 | + | 0.195995i | ||||
\(409\) | −287.104 | − | 248.777i | −0.701966 | − | 0.608257i | 0.228972 | − | 0.973433i | \(-0.426463\pi\) |
−0.930939 | + | 0.365176i | \(0.881009\pi\) | |||||||
\(410\) | −3.28357 | + | 0.157481i | −0.00800870 | + | 0.000384100i | ||||
\(411\) | −95.0339 | + | 208.095i | −0.231226 | + | 0.506314i | ||||
\(412\) | −187.043 | − | 140.019i | −0.453989 | − | 0.339852i | ||||
\(413\) | 19.8348 | + | 19.8348i | 0.0480261 | + | 0.0480261i | ||||
\(414\) | −236.140 | + | 77.7673i | −0.570387 | + | 0.187844i | ||||
\(415\) | −159.558 | + | 658.637i | −0.384477 | + | 1.58708i | ||||
\(416\) | 17.6014 | + | 122.420i | 0.0423111 | + | 0.294280i | ||||
\(417\) | 103.753 | + | 278.172i | 0.248808 | + | 0.667079i | ||||
\(418\) | 82.3726 | + | 44.9789i | 0.197064 | + | 0.107605i | ||||
\(419\) | 486.598 | + | 421.640i | 1.16133 | + | 1.00630i | 0.999811 | + | 0.0194308i | \(0.00618541\pi\) |
0.161521 | + | 0.986869i | \(0.448360\pi\) | |||||||
\(420\) | −31.8032 | + | 8.53269i | −0.0757220 | + | 0.0203159i | ||||
\(421\) | 5.56162 | − | 3.57423i | 0.0132105 | − | 0.00848987i | −0.534019 | − | 0.845473i | \(-0.679319\pi\) |
0.547229 | + | 0.836983i | \(0.315683\pi\) | |||||||
\(422\) | 87.3346 | + | 32.5741i | 0.206954 | + | 0.0771898i | ||||
\(423\) | −33.0756 | + | 462.457i | −0.0781928 | + | 1.09328i | ||||
\(424\) | −54.0971 | + | 84.1768i | −0.127588 | + | 0.198530i | ||||
\(425\) | −681.767 | + | 115.099i | −1.60416 | + | 0.270820i | ||||
\(426\) | −14.5097 | + | 100.917i | −0.0340604 | + | 0.236895i | ||||
\(427\) | −24.6857 | + | 5.37005i | −0.0578120 | + | 0.0125762i | ||||
\(428\) | −11.5062 | + | 160.877i | −0.0268836 | + | 0.375882i | ||||
\(429\) | 139.756 | − | 63.8243i | 0.325771 | − | 0.148774i | ||||
\(430\) | −400.612 | − | 194.445i | −0.931657 | − | 0.452198i | ||||
\(431\) | 55.0890 | + | 16.1756i | 0.127817 | + | 0.0375303i | 0.345015 | − | 0.938597i | \(-0.387874\pi\) |
−0.217199 | + | 0.976127i | \(0.569692\pi\) | |||||||
\(432\) | −5.53168 | − | 77.3430i | −0.0128048 | − | 0.179035i | ||||
\(433\) | 246.080 | + | 134.370i | 0.568314 | + | 0.310323i | 0.737593 | − | 0.675245i | \(-0.235962\pi\) |
−0.169280 | + | 0.985568i | \(0.554144\pi\) | |||||||
\(434\) | −17.9660 | − | 8.20479i | −0.0413963 | − | 0.0189050i | ||||
\(435\) | 16.2635 | − | 170.904i | 0.0373874 | − | 0.392883i | ||||
\(436\) | 78.5120 | 0.180073 | ||||||||
\(437\) | 128.406 | + | 217.983i | 0.293836 | + | 0.498817i | ||||
\(438\) | 101.269 | + | 101.269i | 0.231209 | + | 0.231209i | ||||
\(439\) | −358.144 | + | 51.4933i | −0.815817 | + | 0.117297i | −0.537577 | − | 0.843215i | \(-0.680660\pi\) |
−0.278240 | + | 0.960512i | \(0.589751\pi\) | |||||||
\(440\) | 67.0859 | + | 52.7218i | 0.152468 | + | 0.119822i | ||||
\(441\) | −300.741 | + | 88.3055i | −0.681952 | + | 0.200239i | ||||
\(442\) | 61.0047 | + | 852.958i | 0.138020 | + | 1.92977i | ||||
\(443\) | 117.234 | + | 214.699i | 0.264637 | + | 0.484647i | 0.975882 | − | 0.218297i | \(-0.0700502\pi\) |
−0.711245 | + | 0.702944i | \(0.751868\pi\) | |||||||
\(444\) | −16.6892 | − | 25.9689i | −0.0375883 | − | 0.0584886i | ||||
\(445\) | −32.9955 | − | 22.3164i | −0.0741472 | − | 0.0501493i | ||||
\(446\) | 166.663 | + | 192.339i | 0.373683 | + | 0.431253i | ||||
\(447\) | 138.541 | − | 30.1377i | 0.309934 | − | 0.0674221i | ||||
\(448\) | −18.1055 | + | 13.5536i | −0.0404142 | + | 0.0302537i | ||||
\(449\) | −112.815 | − | 16.2203i | −0.251258 | − | 0.0361255i | 0.0155348 | − | 0.999879i | \(-0.495055\pi\) |
−0.266793 | + | 0.963754i | \(0.585964\pi\) | |||||||
\(450\) | 261.072 | + | 69.7729i | 0.580160 | + | 0.155051i | ||||
\(451\) | 1.83680 | + | 2.11978i | 0.00407274 | + | 0.00470019i | ||||
\(452\) | −406.513 | − | 151.622i | −0.899366 | − | 0.335446i | ||||
\(453\) | 46.5658 | + | 10.1298i | 0.102794 | + | 0.0223615i | ||||
\(454\) | 62.6145 | − | 213.245i | 0.137917 | − | 0.469703i | ||||
\(455\) | −304.789 | − | 51.1513i | −0.669865 | − | 0.112420i | ||||
\(456\) | −34.7690 | + | 10.2091i | −0.0762478 | + | 0.0223884i | ||||
\(457\) | 65.1524 | + | 174.680i | 0.142565 | + | 0.382233i | 0.988534 | − | 0.151001i | \(-0.0482495\pi\) |
−0.845968 | + | 0.533233i | \(0.820977\pi\) | |||||||
\(458\) | −104.798 | + | 139.994i | −0.228816 | + | 0.305663i | ||||
\(459\) | − | 536.127i | − | 1.16803i | ||||||
\(460\) | 82.3270 | + | 214.761i | 0.178972 | + | 0.466872i | ||||
\(461\) | −83.8733 | −0.181938 | −0.0909689 | − | 0.995854i | \(-0.528996\pi\) | ||||
−0.0909689 | + | 0.995854i | \(0.528996\pi\) | |||||||
\(462\) | 22.4915 | + | 16.8369i | 0.0486829 | + | 0.0364435i | ||||
\(463\) | 621.714 | − | 231.887i | 1.34280 | − | 0.500837i | 0.427644 | − | 0.903947i | \(-0.359344\pi\) |
0.915151 | + | 0.403111i | \(0.132071\pi\) | |||||||
\(464\) | −33.2208 | − | 113.140i | −0.0715965 | − | 0.243835i | ||||
\(465\) | −16.6954 | − | 23.4294i | −0.0359041 | − | 0.0503858i | ||||
\(466\) | −20.6255 | − | 6.05621i | −0.0442608 | − | 0.0129961i | ||||
\(467\) | 33.5063 | − | 154.026i | 0.0717480 | − | 0.329820i | −0.927257 | − | 0.374426i | \(-0.877840\pi\) |
0.999005 | + | 0.0446061i | \(0.0142033\pi\) | |||||||
\(468\) | 116.799 | − | 313.152i | 0.249572 | − | 0.669127i | ||||
\(469\) | 53.7302 | − | 46.5575i | 0.114563 | − | 0.0992697i | ||||
\(470\) | 428.804 | + | 10.0685i | 0.912348 | + | 0.0214224i | ||||
\(471\) | 32.2016 | − | 223.967i | 0.0683686 | − | 0.475514i | ||||
\(472\) | 16.8181 | + | 22.4664i | 0.0356316 | + | 0.0475982i | ||||
\(473\) | 80.7648 | + | 371.270i | 0.170750 | + | 0.784925i | ||||
\(474\) | −157.794 | + | 136.730i | −0.332900 | + | 0.288459i | ||||
\(475\) | 12.9067 | − | 274.688i | 0.0271721 | − | 0.578290i | ||||
\(476\) | −131.551 | + | 84.5425i | −0.276367 | + | 0.177610i | ||||
\(477\) | 237.324 | − | 129.589i | 0.497535 | − | 0.271675i | ||||
\(478\) | −118.014 | + | 8.44053i | −0.246891 | + | 0.0176580i | ||||
\(479\) | 150.148 | + | 511.358i | 0.313462 | + | 1.06755i | 0.954045 | + | 0.299664i | \(0.0968746\pi\) |
−0.640583 | + | 0.767889i | \(0.721307\pi\) | |||||||
\(480\) | −32.7094 | + | 3.92163i | −0.0681447 | + | 0.00817007i | ||||
\(481\) | −41.2327 | − | 286.780i | −0.0857229 | − | 0.596216i | ||||
\(482\) | −167.506 | + | 167.506i | −0.347522 | + | 0.347522i | ||||
\(483\) | 28.7612 | + | 70.0607i | 0.0595469 | + | 0.145053i | ||||
\(484\) | 169.199i | 0.349584i | ||||||||
\(485\) | 30.0255 | − | 315.521i | 0.0619083 | − | 0.650559i | ||||
\(486\) | −134.118 | + | 293.677i | −0.275962 | + | 0.604273i | ||||
\(487\) | 175.959 | − | 322.244i | 0.361311 | − | 0.661692i | −0.632278 | − | 0.774741i | \(-0.717880\pi\) |
0.993589 | + | 0.113049i | \(0.0360619\pi\) | |||||||
\(488\) | −25.2107 | + | 1.80311i | −0.0516613 | + | 0.00369489i | ||||
\(489\) | 18.1668 | − | 61.8705i | 0.0371510 | − | 0.126525i | ||||
\(490\) | 94.9278 | + | 273.989i | 0.193730 | + | 0.559161i | ||||
\(491\) | 79.7521 | + | 174.633i | 0.162428 | + | 0.355668i | 0.973293 | − | 0.229565i | \(-0.0737304\pi\) |
−0.810865 | + | 0.585233i | \(0.801003\pi\) | |||||||
\(492\) | −1.08021 | − | 0.0772583i | −0.00219555 | − | 0.000157029i | ||||
\(493\) | −173.302 | − | 796.656i | −0.351525 | − | 1.61593i | ||||
\(494\) | −336.645 | − | 48.4023i | −0.681468 | − | 0.0979803i | ||||
\(495\) | −90.8341 | − | 211.928i | −0.183503 | − | 0.428137i | ||||
\(496\) | −16.6234 | − | 10.6832i | −0.0335149 | − | 0.0215387i | ||||
\(497\) | −174.541 | − | 12.4834i | −0.351188 | − | 0.0251175i | ||||
\(498\) | −78.0199 | + | 209.179i | −0.156666 | + | 0.420039i | ||||
\(499\) | 179.621 | + | 279.496i | 0.359963 | + | 0.560113i | 0.973250 | − | 0.229747i | \(-0.0737897\pi\) |
−0.613288 | + | 0.789860i | \(0.710153\pi\) | |||||||
\(500\) | 52.9040 | − | 244.338i | 0.105808 | − | 0.488676i | ||||
\(501\) | −236.427 | + | 272.851i | −0.471910 | + | 0.544613i | ||||
\(502\) | 138.852 | − | 254.289i | 0.276598 | − | 0.506552i | ||||
\(503\) | 292.905 | − | 109.248i | 0.582317 | − | 0.217193i | −0.0410043 | − | 0.999159i | \(-0.513056\pi\) |
0.623321 | + | 0.781966i | \(0.285783\pi\) | |||||||
\(504\) | 60.4959 | − | 8.69800i | 0.120032 | − | 0.0172579i | ||||
\(505\) | 355.286 | + | 582.459i | 0.703537 | + | 1.15338i | ||||
\(506\) | 100.670 | − | 168.456i | 0.198953 | − | 0.332916i | ||||
\(507\) | −254.505 | + | 254.505i | −0.501982 | + | 0.501982i | ||||
\(508\) | −188.534 | + | 251.852i | −0.371130 | + | 0.495771i | ||||
\(509\) | 811.103 | + | 370.418i | 1.59352 | + | 0.727737i | 0.997184 | − | 0.0749958i | \(-0.0238943\pi\) |
0.596339 | + | 0.802733i | \(0.296622\pi\) | |||||||
\(510\) | −227.516 | + | 10.9117i | −0.446109 | + | 0.0213956i | ||||
\(511\) | −160.967 | + | 185.766i | −0.315005 | + | 0.363535i | ||||
\(512\) | −19.8596 | + | 10.8442i | −0.0387883 | + | 0.0211800i | ||||
\(513\) | 208.357 | + | 45.3252i | 0.406153 | + | 0.0883532i | ||||
\(514\) | 340.884 | − | 155.677i | 0.663199 | − | 0.302873i | ||||
\(515\) | 519.096 | − | 267.825i | 1.00795 | − | 0.520049i | ||||
\(516\) | −123.413 | − | 79.3125i | −0.239172 | − | 0.153706i | ||||
\(517\) | −219.319 | − | 292.975i | −0.424214 | − | 0.566683i | ||||
\(518\) | 42.4137 | − | 31.7505i | 0.0818798 | − | 0.0612944i | ||||
\(519\) | 74.3022 | − | 115.617i | 0.143164 | − | 0.222768i | ||||
\(520\) | −294.547 | − | 94.0514i | −0.566437 | − | 0.180868i | ||||
\(521\) | 235.781 | + | 516.288i | 0.452554 | + | 0.990956i | 0.989122 | + | 0.147098i | \(0.0469934\pi\) |
−0.536567 | + | 0.843857i | \(0.680279\pi\) | |||||||
\(522\) | −67.7339 | + | 311.368i | −0.129758 | + | 0.596490i | ||||
\(523\) | −273.387 | − | 500.671i | −0.522728 | − | 0.957305i | −0.997035 | − | 0.0769459i | \(-0.975483\pi\) |
0.474307 | − | 0.880360i | \(-0.342699\pi\) | |||||||
\(524\) | −70.2538 | − | 60.8752i | −0.134072 | − | 0.116174i | ||||
\(525\) | 15.5268 | − | 80.8424i | 0.0295749 | − | 0.153986i | ||||
\(526\) | 167.157 | − | 366.023i | 0.317789 | − | 0.695861i | ||||
\(527\) | −109.374 | − | 81.8763i | −0.207541 | − | 0.155363i | ||||
\(528\) | 19.8759 | + | 19.8759i | 0.0376437 | + | 0.0376437i | ||||
\(529\) | 465.884 | − | 250.585i | 0.880689 | − | 0.473695i | ||||
\(530\) | −130.266 | − | 213.559i | −0.245784 | − | 0.402941i | ||||
\(531\) | −10.7930 | − | 75.0667i | −0.0203257 | − | 0.141368i | ||||
\(532\) | −21.7345 | − | 58.2723i | −0.0408542 | − | 0.109534i | ||||
\(533\) | −8.92109 | − | 4.87128i | −0.0167375 | − | 0.00913937i | ||||
\(534\) | −9.91748 | − | 8.59354i | −0.0185721 | − | 0.0160928i | ||||
\(535\) | −349.265 | − | 201.497i | −0.652831 | − | 0.376631i | ||||
\(536\) | 59.8376 | − | 38.4553i | 0.111637 | − | 0.0717450i | ||||
\(537\) | 12.8576 | + | 4.79563i | 0.0239434 | + | 0.00893042i | ||||
\(538\) | −3.38310 | + | 47.3019i | −0.00628829 | + | 0.0879217i | ||||
\(539\) | 133.760 | − | 208.135i | 0.248164 | − | 0.386151i | ||||
\(540\) | 179.989 | + | 71.9891i | 0.333313 | + | 0.133313i | ||||
\(541\) | 27.7450 | − | 192.971i | 0.0512847 | − | 0.356693i | −0.947979 | − | 0.318332i | \(-0.896877\pi\) |
0.999264 | − | 0.0383606i | \(-0.0122136\pi\) | |||||||
\(542\) | 529.652 | − | 115.219i | 0.977218 | − | 0.212581i | ||||
\(543\) | 2.08751 | − | 29.1872i | 0.00384441 | − | 0.0537518i | ||||
\(544\) | −142.311 | + | 64.9913i | −0.261601 | + | 0.119469i | ||||
\(545\) | −85.7063 | + | 176.579i | −0.157259 | + | 0.323999i | ||||
\(546\) | −97.6887 | − | 28.6840i | −0.178917 | − | 0.0525348i | ||||
\(547\) | −40.2658 | − | 562.990i | −0.0736121 | − | 1.02923i | −0.891254 | − | 0.453505i | \(-0.850173\pi\) |
0.817642 | − | 0.575727i | \(-0.195281\pi\) | |||||||
\(548\) | −344.774 | − | 188.261i | −0.629150 | − | 0.343542i | ||||
\(549\) | 62.1298 | + | 28.3737i | 0.113169 | + | 0.0516825i | ||||
\(550\) | −191.809 | + | 93.3284i | −0.348743 | + | 0.169688i | ||||
\(551\) | 324.258 | 0.588490 | ||||||||
\(552\) | 18.5066 | + | 73.4757i | 0.0335264 | + | 0.133108i | ||||
\(553\) | −253.393 | − | 253.393i | −0.458215 | − | 0.458215i | ||||
\(554\) | −70.0318 | + | 10.0691i | −0.126411 | + | 0.0181752i | ||||
\(555\) | 76.6246 | − | 9.18675i | 0.138062 | − | 0.0165527i | ||||
\(556\) | −489.149 | + | 143.627i | −0.879765 | + | 0.258322i | ||||
\(557\) | 70.1605 | + | 980.972i | 0.125961 | + | 1.76117i | 0.531467 | + | 0.847079i | \(0.321641\pi\) |
−0.405506 | + | 0.914092i | \(0.632905\pi\) | |||||||
\(558\) | 25.5914 | + | 46.8672i | 0.0458628 | + | 0.0839914i | ||||
\(559\) | −744.400 | − | 1158.31i | −1.33166 | − | 2.07211i | ||||
\(560\) | −10.7185 | − | 55.5163i | −0.0191402 | − | 0.0991363i | ||||
\(561\) | 127.271 | + | 146.878i | 0.226864 | + | 0.261815i | ||||
\(562\) | 304.854 | − | 66.3168i | 0.542444 | − | 0.118001i | ||||
\(563\) | 379.334 | − | 283.966i | 0.673772 | − | 0.504379i | −0.206744 | − | 0.978395i | \(-0.566287\pi\) |
0.880516 | + | 0.474016i | \(0.157196\pi\) | |||||||
\(564\) | 139.864 | + | 20.1095i | 0.247987 | + | 0.0356551i | ||||
\(565\) | 784.772 | − | 748.764i | 1.38898 | − | 1.32525i | ||||
\(566\) | −78.6850 | − | 90.8074i | −0.139019 | − | 0.160437i | ||||
\(567\) | −122.408 | − | 45.6557i | −0.215887 | − | 0.0805215i | ||||
\(568\) | −171.069 | − | 37.2138i | −0.301178 | − | 0.0655172i | ||||
\(569\) | 66.8425 | − | 227.645i | 0.117474 | − | 0.400078i | −0.879672 | − | 0.475581i | \(-0.842238\pi\) |
0.997146 | + | 0.0755024i | \(0.0240561\pi\) | |||||||
\(570\) | 14.9940 | − | 89.3427i | 0.0263052 | − | 0.156742i | ||||
\(571\) | 243.206 | − | 71.4118i | 0.425931 | − | 0.125064i | −0.0617400 | − | 0.998092i | \(-0.519665\pi\) |
0.487670 | + | 0.873028i | \(0.337847\pi\) | |||||||
\(572\) | 92.1953 | + | 247.185i | 0.161181 | + | 0.432142i | ||||
\(573\) | 196.743 | − | 262.817i | 0.343355 | − | 0.458669i | ||||
\(574\) | − | 1.85872i | − | 0.00323818i | ||||||
\(575\) | −572.884 | − | 49.2808i | −0.996321 | − | 0.0857057i | ||||
\(576\) | 61.1471 | 0.106158 | ||||||||
\(577\) | 315.047 | + | 235.841i | 0.546008 | + | 0.408736i | 0.836358 | − | 0.548184i | \(-0.184681\pi\) |
−0.290350 | + | 0.956921i | \(0.593772\pi\) | |||||||
\(578\) | −630.570 | + | 235.191i | −1.09095 | + | 0.406904i | ||||
\(579\) | 107.419 | + | 365.837i | 0.185526 | + | 0.631843i | ||||
\(580\) | 290.724 | + | 48.7909i | 0.501249 | + | 0.0841222i | ||||
\(581\) | −367.655 | − | 107.953i | −0.632796 | − | 0.185806i | ||||
\(582\) | 22.1948 | − | 102.028i | 0.0381354 | − | 0.175305i | ||||
\(583\) | −74.5894 | + | 199.982i | −0.127941 | + | 0.343022i | ||||
\(584\) | −185.855 | + | 161.044i | −0.318245 | + | 0.275761i | ||||
\(585\) | 576.799 | + | 604.537i | 0.985981 | + | 1.03340i | ||||
\(586\) | 47.0438 | − | 327.197i | 0.0802796 | − | 0.558357i | ||||
\(587\) | −181.815 | − | 242.876i | −0.309735 | − | 0.413758i | 0.618481 | − | 0.785800i | \(-0.287749\pi\) |
−0.928216 | + | 0.372042i | \(0.878658\pi\) | |||||||
\(588\) | 20.3055 | + | 93.3430i | 0.0345332 | + | 0.158747i | ||||
\(589\) | 41.0666 | − | 35.5844i | 0.0697225 | − | 0.0604149i | ||||
\(590\) | −68.8878 | + | 13.3002i | −0.116759 | + | 0.0225426i | ||||
\(591\) | 296.693 | − | 190.673i | 0.502018 | − | 0.322627i | ||||
\(592\) | 46.5228 | − | 25.4033i | 0.0785857 | − | 0.0429111i | ||||
\(593\) | −397.334 | + | 28.4179i | −0.670041 | + | 0.0479223i | −0.402215 | − | 0.915545i | \(-0.631760\pi\) |
−0.267826 | + | 0.963467i | \(0.586305\pi\) | |||||||
\(594\) | −46.5988 | − | 158.701i | −0.0784492 | − | 0.267174i | ||||
\(595\) | −46.5373 | − | 388.157i | −0.0782139 | − | 0.652364i | ||||
\(596\) | 34.6474 | + | 240.978i | 0.0581332 | + | 0.404325i | ||||
\(597\) | −170.658 | + | 170.658i | −0.285859 | + | 0.285859i | ||||
\(598\) | −128.478 | + | 699.455i | −0.214846 | + | 1.16966i | ||||
\(599\) | − | 216.313i | − | 0.361123i | −0.983564 | − | 0.180561i | \(-0.942209\pi\) | ||
0.983564 | − | 0.180561i | \(-0.0577914\pi\) | |||||||
\(600\) | 26.8867 | − | 77.8470i | 0.0448111 | − | 0.129745i | ||||
\(601\) | 44.6364 | − | 97.7401i | 0.0742702 | − | 0.162629i | −0.868855 | − | 0.495066i | \(-0.835144\pi\) |
0.943125 | + | 0.332437i | \(0.107871\pi\) | |||||||
\(602\) | 120.667 | − | 220.986i | 0.200444 | − | 0.367086i | ||||
\(603\) | −191.726 | + | 13.7125i | −0.317953 | + | 0.0227405i | ||||
\(604\) | −23.0541 | + | 78.5149i | −0.0381690 | + | 0.129992i | ||||
\(605\) | −380.541 | − | 184.703i | −0.628993 | − | 0.305294i | ||||
\(606\) | 93.3702 | + | 204.452i | 0.154076 | + | 0.337380i | ||||
\(607\) | −880.123 | − | 62.9477i | −1.44996 | − | 0.103703i | −0.675981 | − | 0.736919i | \(-0.736280\pi\) |
−0.773975 | + | 0.633216i | \(0.781734\pi\) | |||||||
\(608\) | −13.2265 | − | 60.8013i | −0.0217541 | − | 0.100002i | ||||
\(609\) | 96.0804 | + | 13.8143i | 0.157767 | + | 0.0226835i | ||||
\(610\) | 23.4655 | − | 58.6691i | 0.0384681 | − | 0.0961788i | ||||
\(611\) | 1115.69 | + | 717.008i | 1.82600 | + | 1.17350i | ||||
\(612\) | 421.703 | + | 30.1608i | 0.689057 | + | 0.0492823i | ||||
\(613\) | 272.558 | − | 730.755i | 0.444629 | − | 1.19210i | −0.500597 | − | 0.865680i | \(-0.666886\pi\) |
0.945226 | − | 0.326416i | \(-0.105841\pi\) | |||||||
\(614\) | −304.315 | − | 473.523i | −0.495627 | − | 0.771211i | ||||
\(615\) | 1.35296 | − | 2.34514i | 0.00219993 | − | 0.00381324i | ||||
\(616\) | −31.5926 | + | 36.4599i | −0.0512868 | + | 0.0591881i | ||||
\(617\) | 547.276 | − | 1002.26i | 0.886995 | − | 1.62441i | 0.110867 | − | 0.993835i | \(-0.464637\pi\) |
0.776128 | − | 0.630575i | \(-0.217181\pi\) | |||||||
\(618\) | 180.296 | − | 67.2471i | 0.291742 | − | 0.108814i | ||||
\(619\) | −970.995 | + | 139.608i | −1.56865 | + | 0.225538i | −0.871139 | − | 0.491036i | \(-0.836618\pi\) |
−0.697511 | + | 0.716574i | \(0.745709\pi\) | |||||||
\(620\) | 42.1739 | − | 25.7251i | 0.0680225 | − | 0.0414921i | ||||
\(621\) | 111.628 | − | 431.658i | 0.179755 | − | 0.695102i | ||||
\(622\) | 337.908 | − | 337.908i | 0.543260 | − | 0.543260i | ||||
\(623\) | 13.4973 | − | 18.0303i | 0.0216650 | − | 0.0289411i | ||||
\(624\) | −92.6564 | − | 42.3147i | −0.148488 | − | 0.0678121i | ||||
\(625\) | 491.783 | + | 385.713i | 0.786853 | + | 0.617141i | ||||
\(626\) | 173.301 | − | 200.000i | 0.276838 | − | 0.319488i | ||||
\(627\) | −67.8415 | + | 37.0442i | −0.108200 | + | 0.0590817i | ||||
\(628\) | 379.656 | + | 82.5890i | 0.604547 | + | 0.131511i | ||||
\(629\) | 333.375 | − | 152.247i | 0.530009 | − | 0.242047i | ||||
\(630\) | −46.4769 | + | 145.555i | −0.0737728 | + | 0.231039i | ||||
\(631\) | 208.335 | + | 133.889i | 0.330167 | + | 0.212185i | 0.695212 | − | 0.718804i | \(-0.255310\pi\) |
−0.365046 | + | 0.930990i | \(0.618947\pi\) | |||||||
\(632\) | −214.855 | − | 287.012i | −0.339960 | − | 0.454133i | ||||
\(633\) | −61.4562 | + | 46.0056i | −0.0970873 | + | 0.0726786i | ||||
\(634\) | −236.430 | + | 367.893i | −0.372918 | + | 0.580272i | ||||
\(635\) | −360.624 | − | 698.957i | −0.567911 | − | 1.10072i | ||||
\(636\) | −34.2342 | − | 74.9624i | −0.0538273 | − | 0.117865i | ||||
\(637\) | −190.581 | + | 876.086i | −0.299185 | + | 1.37533i | ||||
\(638\) | −120.543 | − | 220.758i | −0.188939 | − | 0.346016i | ||||
\(639\) | 357.545 | + | 309.814i | 0.559538 | + | 0.484842i | ||||
\(640\) | −2.70993 | − | 56.5036i | −0.00423427 | − | 0.0882869i | ||||
\(641\) | −360.045 | + | 788.388i | −0.561692 | + | 1.22993i | 0.389412 | + | 0.921064i | \(0.372678\pi\) |
−0.951104 | + | 0.308870i | \(0.900049\pi\) | |||||||
\(642\) | −106.341 | − | 79.6056i | −0.165640 | − | 0.123996i | ||||
\(643\) | −493.814 | − | 493.814i | −0.767985 | − | 0.767985i | 0.209767 | − | 0.977751i | \(-0.432730\pi\) |
−0.977751 | + | 0.209767i | \(0.932730\pi\) | |||||||
\(644\) | −123.520 | + | 40.6784i | −0.191801 | + | 0.0631652i | ||||
\(645\) | 313.101 | − | 190.984i | 0.485428 | − | 0.296099i | ||||
\(646\) | −61.2268 | − | 425.842i | −0.0947783 | − | 0.659198i | ||||
\(647\) | 372.434 | + | 998.535i | 0.575633 | + | 1.54333i | 0.819236 | + | 0.573456i | \(0.194398\pi\) |
−0.243603 | + | 0.969875i | \(0.578329\pi\) | |||||||
\(648\) | −114.719 | − | 62.6413i | −0.177035 | − | 0.0966686i | ||||
\(649\) | 45.2414 | + | 39.2019i | 0.0697094 | + | 0.0604035i | ||||
\(650\) | 533.066 | − | 559.789i | 0.820101 | − | 0.861213i | ||||
\(651\) | 13.6844 | − | 8.79440i | 0.0210205 | − | 0.0135091i | ||||
\(652\) | 103.744 | + | 38.6943i | 0.159116 | + | 0.0593471i | ||||
\(653\) | 15.6212 | − | 218.413i | 0.0239222 | − | 0.334477i | −0.971371 | − | 0.237568i | \(-0.923650\pi\) |
0.995293 | − | 0.0969090i | \(-0.0308956\pi\) | |||||||
\(654\) | −34.9588 | + | 54.3970i | −0.0534539 | + | 0.0831759i | ||||
\(655\) | 213.604 | − | 91.5525i | 0.326113 | − | 0.139775i | ||||
\(656\) | 0.264649 | − | 1.84067i | 0.000403428 | − | 0.00280590i | ||||
\(657\) | 649.377 | − | 141.263i | 0.988398 | − | 0.215013i | ||||
\(658\) | −17.3011 | + | 241.901i | −0.0262935 | + | 0.367631i | ||||
\(659\) | −580.156 | + | 264.948i | −0.880358 | + | 0.402046i | −0.803716 | − | 0.595013i | \(-0.797147\pi\) |
−0.0766418 | + | 0.997059i | \(0.524420\pi\) | |||||||
\(660\) | −66.3995 | + | 23.0052i | −0.100605 | + | 0.0348563i | ||||
\(661\) | −522.002 | − | 153.274i | −0.789715 | − | 0.231881i | −0.138087 | − | 0.990420i | \(-0.544095\pi\) |
−0.651628 | + | 0.758539i | \(0.725914\pi\) | |||||||
\(662\) | 55.6055 | + | 777.467i | 0.0839963 | + | 1.17442i | ||||
\(663\) | −618.135 | − | 337.527i | −0.932330 | − | 0.509091i | ||||
\(664\) | −348.715 | − | 159.253i | −0.525174 | − | 0.239839i | ||||
\(665\) | 154.785 | + | 14.7296i | 0.232759 | + | 0.0221498i | ||||
\(666\) | −143.242 | −0.215078 | ||||||||
\(667\) | 26.3401 | − | 677.505i | 0.0394904 | − | 1.01575i | ||||
\(668\) | −438.365 | − | 438.365i | −0.656235 | − | 0.656235i | ||||
\(669\) | −207.472 | + | 29.8299i | −0.310122 | + | 0.0445888i | ||||
\(670\) | 21.1681 | + | 176.558i | 0.0315942 | + | 0.263520i | ||||
\(671\) | −51.7301 | + | 15.1893i | −0.0770941 | + | 0.0226369i | ||||
\(672\) | −1.32883 | − | 18.5794i | −0.00197742 | − | 0.0276480i | ||||
\(673\) | 544.774 | + | 997.680i | 0.809471 | + | 1.48244i | 0.874753 | + | 0.484569i | \(0.161024\pi\) |
−0.0652815 | + | 0.997867i | \(0.520795\pi\) | |||||||
\(674\) | 279.066 | + | 434.235i | 0.414044 | + | 0.644265i | ||||
\(675\) | −358.391 | + | 326.223i | −0.530949 | + | 0.483293i | ||||
\(676\) | −404.728 | − | 467.081i | −0.598710 | − | 0.690948i | ||||
\(677\) | −453.469 | + | 98.6461i | −0.669821 | + | 0.145711i | −0.534600 | − | 0.845105i | \(-0.679538\pi\) |
−0.135220 | + | 0.990816i | \(0.543174\pi\) | |||||||
\(678\) | 286.058 | − | 214.141i | 0.421915 | − | 0.315842i | ||||
\(679\) | 177.383 | + | 25.5038i | 0.261241 | + | 0.0375608i | ||||
\(680\) | 9.18124 | − | 391.015i | 0.0135018 | − | 0.575022i | ||||
\(681\) | 119.867 | + | 138.334i | 0.176016 | + | 0.203133i | ||||
\(682\) | −39.4928 | − | 14.7300i | −0.0579073 | − | 0.0215983i | ||||
\(683\) | 243.118 | + | 52.8870i | 0.355956 | + | 0.0774334i | 0.386987 | − | 0.922085i | \(-0.373516\pi\) |
−0.0310318 | + | 0.999518i | \(0.509879\pi\) | |||||||
\(684\) | −47.3730 | + | 161.338i | −0.0692588 | + | 0.235874i | ||||
\(685\) | 799.780 | − | 569.911i | 1.16756 | − | 0.831987i | ||||
\(686\) | −345.282 | + | 101.384i | −0.503327 | + | 0.147790i | ||||
\(687\) | −50.3314 | − | 134.944i | −0.0732627 | − | 0.196425i | ||||
\(688\) | 150.961 | − | 201.660i | 0.219419 | − | 0.293110i | ||||
\(689\) | − | 773.469i | − | 1.12260i | ||||||
\(690\) | −185.455 | − | 38.5859i | −0.268775 | − | 0.0559216i | ||||
\(691\) | −981.066 | −1.41978 | −0.709888 | − | 0.704314i | \(-0.751255\pi\) | ||||
−0.709888 | + | 0.704314i | \(0.751255\pi\) | |||||||
\(692\) | 188.921 | + | 141.424i | 0.273007 | + | 0.204370i | ||||
\(693\) | 122.150 | − | 45.5597i | 0.176263 | − | 0.0657427i | ||||
\(694\) | 235.569 | + | 802.275i | 0.339437 | + | 1.15602i | ||||
\(695\) | 210.943 | − | 1256.92i | 0.303516 | − | 1.80852i | ||||
\(696\) | 93.1809 | + | 27.3604i | 0.133881 | + | 0.0393109i | ||||
\(697\) | 2.73307 | − | 12.5637i | 0.00392119 | − | 0.0180254i | ||||
\(698\) | −17.9205 | + | 48.0466i | −0.0256740 | + | 0.0688347i | ||||
\(699\) | 13.3799 | − | 11.5938i | 0.0191415 | − | 0.0165862i | ||||
\(700\) | 136.561 | + | 36.4967i | 0.195087 | + | 0.0521381i | ||||
\(701\) | 20.7450 | − | 144.285i | 0.0295935 | − | 0.205827i | −0.969660 | − | 0.244457i | \(-0.921390\pi\) |
0.999254 | + | 0.0386299i | \(0.0122993\pi\) | |||||||
\(702\) | 359.198 | + | 479.833i | 0.511679 | + | 0.683523i | ||||
\(703\) | 30.9842 | + | 142.432i | 0.0440743 | + | 0.202606i | ||||
\(704\) | −36.4772 | + | 31.6077i | −0.0518143 | + | 0.0448973i | ||||
\(705\) | −197.908 | + | 292.613i | −0.280721 | + | 0.415055i | ||||
\(706\) | 349.973 | − | 224.914i | 0.495713 | − | 0.318575i | ||||
\(707\) | −338.577 | + | 184.877i | −0.478892 | + | 0.261495i | ||||
\(708\) | −23.0544 | + | 1.64888i | −0.0325627 | + | 0.00232893i | ||||
\(709\) | 213.485 | + | 727.064i | 0.301108 | + | 1.02548i | 0.961556 | + | 0.274607i | \(0.0885479\pi\) |
−0.660449 | + | 0.750871i | \(0.729634\pi\) | |||||||
\(710\) | 270.441 | − | 344.123i | 0.380903 | − | 0.484680i | ||||
\(711\) | 137.882 | + | 958.991i | 0.193927 | + | 1.34879i | ||||
\(712\) | 15.9335 | − | 15.9335i | 0.0223785 | − | 0.0223785i | ||||
\(713\) | −71.0141 | − | 88.6951i | −0.0995990 | − | 0.124397i | ||||
\(714\) | − | 128.789i | − | 0.180377i | ||||||
\(715\) | −656.581 | − | 62.4814i | −0.918296 | − | 0.0873866i | ||||
\(716\) | −9.78877 | + | 21.4344i | −0.0136715 | + | 0.0299363i | ||||
\(717\) | 46.6998 | − | 85.5243i | 0.0651322 | − | 0.119281i | ||||
\(718\) | 294.288 | − | 21.0479i | 0.409872 | − | 0.0293146i | ||||
\(719\) | −264.853 | + | 902.005i | −0.368363 | + | 1.25453i | 0.541881 | + | 0.840455i | \(0.317712\pi\) |
−0.910244 | + | 0.414073i | \(0.864106\pi\) | |||||||
\(720\) | −66.7502 | + | 137.524i | −0.0927087 | + | 0.191006i | ||||
\(721\) | 137.198 | + | 300.422i | 0.190289 | + | 0.416675i | ||||
\(722\) | −338.558 | − | 24.2141i | −0.468917 | − | 0.0335376i | ||||
\(723\) | −41.4714 | − | 190.641i | −0.0573602 | − | 0.263681i | ||||
\(724\) | 49.7348 | + | 7.15079i | 0.0686945 | + | 0.00987678i | ||||
\(725\) | −427.099 | + | 600.599i | −0.589101 | + | 0.828412i | ||||
\(726\) | −117.229 | − | 75.3388i | −0.161473 | − | 0.103772i | ||||
\(727\) | 1055.93 | + | 75.5214i | 1.45244 | + | 0.103881i | 0.775125 | − | 0.631808i | \(-0.217687\pi\) |
0.677319 | + | 0.735689i | \(0.263142\pi\) | |||||||
\(728\) | 61.0953 | − | 163.803i | 0.0839221 | − | 0.225004i | ||||
\(729\) | 81.1009 | + | 126.195i | 0.111250 | + | 0.173108i | ||||
\(730\) | −159.315 | − | 593.803i | −0.218240 | − | 0.813429i | ||||
\(731\) | 1140.57 | − | 1316.29i | 1.56029 | − | 1.80067i | ||||
\(732\) | 9.97623 | − | 18.2701i | 0.0136287 | − | 0.0249592i | ||||
\(733\) | 131.092 | − | 48.8948i | 0.178843 | − | 0.0667050i | −0.258447 | − | 0.966025i | \(-0.583211\pi\) |
0.437290 | + | 0.899320i | \(0.355938\pi\) | |||||||
\(734\) | −564.788 | + | 81.2042i | −0.769465 | + | 0.110632i | ||||
\(735\) | −232.102 | − | 56.2277i | −0.315784 | − | 0.0765002i | ||||
\(736\) | −128.113 | + | 22.6965i | −0.174066 | + | 0.0308376i | ||||
\(737\) | 107.286 | − | 107.286i | 0.145571 | − | 0.145571i | ||||
\(738\) | −3.01154 | + | 4.02295i | −0.00408068 | + | 0.00545115i | ||||
\(739\) | 894.547 | + | 408.526i | 1.21048 | + | 0.552809i | 0.915355 | − | 0.402649i | \(-0.131910\pi\) |
0.295128 | + | 0.955458i | \(0.404638\pi\) | |||||||
\(740\) | 6.34824 | + | 132.364i | 0.00857870 | + | 0.178871i | ||||
\(741\) | 183.433 | − | 211.693i | 0.247547 | − | 0.285685i | ||||
\(742\) | 124.139 | − | 67.7852i | 0.167304 | − | 0.0913547i | ||||
\(743\) | −1414.73 | − | 307.756i | −1.90408 | − | 0.414208i | −0.904166 | − | 0.427181i | \(-0.859507\pi\) |
−0.999916 | + | 0.0129728i | \(0.995871\pi\) | |||||||
\(744\) | 14.8037 | − | 6.76062i | 0.0198974 | − | 0.00908686i | ||||
\(745\) | −579.799 | − | 185.135i | −0.778254 | − | 0.248503i | ||||
\(746\) | 215.156 | + | 138.272i | 0.288412 | + | 0.185351i | ||||
\(747\) | 620.832 | + | 829.335i | 0.831101 | + | 1.11022i | ||||
\(748\) | −267.157 | + | 199.991i | −0.357161 | + | 0.267368i | ||||
\(749\) | 123.259 | − | 191.795i | 0.164565 | − | 0.256068i | ||||
\(750\) | 145.733 | + | 145.450i | 0.194311 | + | 0.193934i | ||||
\(751\) | −427.472 | − | 936.033i | −0.569203 | − | 1.24638i | −0.947220 | − | 0.320583i | \(-0.896121\pi\) |
0.378017 | − | 0.925799i | \(-0.376606\pi\) | |||||||
\(752\) | −51.5757 | + | 237.090i | −0.0685848 | + | 0.315279i | ||||
\(753\) | 114.358 | + | 209.431i | 0.151870 | + | 0.278128i | ||||
\(754\) | 688.855 | + | 596.896i | 0.913601 | + | 0.791639i | ||||
\(755\) | −151.419 | − | 137.560i | −0.200555 | − | 0.182198i | ||||
\(756\) | −45.5323 | + | 99.7018i | −0.0602279 | + | 0.131881i | ||||
\(757\) | −814.761 | − | 609.922i | −1.07630 | − | 0.805710i | −0.0944829 | − | 0.995526i | \(-0.530120\pi\) |
−0.981820 | + | 0.189817i | \(0.939211\pi\) | |||||||
\(758\) | 541.425 | + | 541.425i | 0.714281 | + | 0.714281i | ||||
\(759\) | 71.8894 | + | 144.757i | 0.0947159 | + | 0.190721i | ||||
\(760\) | 151.185 | + | 36.6253i | 0.198928 | + | 0.0481912i | ||||
\(761\) | 157.873 | + | 1098.03i | 0.207454 | + | 1.44288i | 0.781424 | + | 0.624000i | \(0.214494\pi\) |
−0.573970 | + | 0.818876i | \(0.694597\pi\) | |||||||
\(762\) | −90.5475 | − | 242.767i | −0.118829 | − | 0.318592i | ||||
\(763\) | −97.4046 | − | 53.1869i | −0.127660 | − | 0.0697077i | ||||
\(764\) | 426.041 | + | 369.166i | 0.557645 | + | 0.483202i | ||||
\(765\) | −528.178 | + | 915.516i | −0.690429 | + | 1.19675i | ||||
\(766\) | −115.992 | + | 74.5438i | −0.151426 | + | 0.0973157i | ||||
\(767\) | −203.256 | − | 75.8104i | −0.265001 | − | 0.0988402i | ||||
\(768\) | 1.32946 | − | 18.5883i | 0.00173107 | − | 0.0242035i | ||||
\(769\) | −428.871 | + | 667.337i | −0.557700 | + | 0.867798i | −0.999571 | − | 0.0292805i | \(-0.990678\pi\) |
0.441871 | + | 0.897078i | \(0.354315\pi\) | |||||||
\(770\) | −47.5134 | − | 110.855i | −0.0617057 | − | 0.143968i | ||||
\(771\) | −43.9242 | + | 305.500i | −0.0569704 | + | 0.396238i | ||||
\(772\) | −639.747 | + | 139.168i | −0.828688 | + | 0.180270i | ||||
\(773\) | −8.93037 | + | 124.863i | −0.0115529 | + | 0.161530i | 0.988400 | + | 0.151870i | \(0.0485295\pi\) |
−0.999953 | + | 0.00966021i | \(0.996925\pi\) | |||||||
\(774\) | −619.216 | + | 282.787i | −0.800021 | + | 0.365357i | ||||
\(775\) | 11.8192 | + | 122.935i | 0.0152505 | + | 0.158625i | ||||
\(776\) | 172.029 | + | 50.5124i | 0.221687 | + | 0.0650933i | ||||
\(777\) | 3.11289 | + | 43.5238i | 0.00400629 | + | 0.0560152i | ||||
\(778\) | −728.644 | − | 397.870i | −0.936560 | − | 0.511401i | ||||
\(779\) | 4.65162 | + | 2.12432i | 0.00597126 | + | 0.00272699i | ||||
\(780\) | 196.316 | − | 162.199i | 0.251687 | − | 0.207947i | ||||
\(781\) | −373.440 | −0.478156 | ||||||||
\(782\) | −894.727 | + | 93.3354i | −1.14415 | + | 0.119355i | ||||
\(783\) | −404.079 | − | 404.079i | −0.516066 | − | 0.516066i | ||||
\(784\) | −162.361 | + | 23.3440i | −0.207093 | + | 0.0297755i | ||||
\(785\) | −600.193 | + | 763.717i | −0.764578 | + | 0.972888i | ||||
\(786\) | 73.4591 | − | 21.5695i | 0.0934595 | − | 0.0274422i | ||||
\(787\) | 92.0759 | + | 1287.39i | 0.116996 | + | 1.63582i | 0.629405 | + | 0.777077i | \(0.283299\pi\) |
−0.512409 | + | 0.858741i | \(0.671247\pi\) | |||||||
\(788\) | 290.231 | + | 531.519i | 0.368314 | + | 0.674516i | ||||
\(789\) | 179.169 | + | 278.793i | 0.227084 | + | 0.353350i | ||||
\(790\) | 880.054 | − | 169.912i | 1.11399 | − | 0.215079i | ||||
\(791\) | 401.620 | + | 463.494i | 0.507737 | + | 0.585960i | ||||
\(792\) | 127.451 | − | 27.7254i | 0.160924 | − | 0.0350068i | ||||
\(793\) | 156.406 | − | 117.084i | 0.197233 | − | 0.147647i | ||||
\(794\) | 123.224 | + | 17.7170i | 0.155195 | + | 0.0223136i | ||||
\(795\) | 205.967 | + | 4.83622i | 0.259078 | + | 0.00608329i | ||||
\(796\) | −271.390 | − | 313.200i | −0.340942 | − | 0.393468i | ||||
\(797\) | −289.882 | − | 108.121i | −0.363717 | − | 0.135659i | 0.160960 | − | 0.986961i | \(-0.448541\pi\) |
−0.524677 | + | 0.851302i | \(0.675814\pi\) | |||||||
\(798\) | 50.0516 | + | 10.8881i | 0.0627214 | + | 0.0136442i | ||||
\(799\) | −472.638 | + | 1609.66i | −0.591537 | + | 2.01459i | ||||
\(800\) | 130.039 | + | 55.5864i | 0.162549 | + | 0.0694830i | ||||
\(801\) | −58.4264 | + | 17.1555i | −0.0729418 | + | 0.0214176i | ||||
\(802\) | 8.51247 | + | 22.8228i | 0.0106140 | + | 0.0284574i | ||||
\(803\) | −314.364 | + | 419.942i | −0.391487 | + | 0.522966i | ||||
\(804\) | 58.5814i | 0.0728624i | ||||||||
\(805\) | 43.3495 | − | 322.211i | 0.0538503 | − | 0.400262i | ||||
\(806\) | 152.746 | 0.189511 | ||||||||
\(807\) | −31.2667 | − | 23.4060i | −0.0387444 | − | 0.0290037i | ||||
\(808\) | −361.614 | + | 134.875i | −0.447542 | + | 0.166924i | ||||
\(809\) | −82.2499 | − | 280.117i | −0.101669 | − | 0.346251i | 0.892910 | − | 0.450234i | \(-0.148660\pi\) |
−0.994579 | + | 0.103983i | \(0.966841\pi\) | |||||||
\(810\) | 266.116 | − | 189.630i | 0.328538 | − | 0.234111i | ||||
\(811\) | 864.066 | + | 253.713i | 1.06543 | + | 0.312839i | 0.767037 | − | 0.641603i | \(-0.221730\pi\) |
0.298396 | + | 0.954442i | \(0.403549\pi\) | |||||||
\(812\) | −35.4301 | + | 162.870i | −0.0436332 | + | 0.200579i | ||||
\(813\) | −156.008 | + | 418.273i | −0.191891 | + | 0.514480i | ||||
\(814\) | 85.4509 | − | 74.0436i | 0.104977 | − | 0.0909627i | ||||
\(815\) | −200.276 | + | 191.087i | −0.245738 | + | 0.234463i | ||||
\(816\) | 18.3373 | − | 127.539i | 0.0224722 | − | 0.156298i | ||||
\(817\) | 415.128 | + | 554.546i | 0.508112 | + | 0.678759i | ||||
\(818\) | 114.201 | + | 524.972i | 0.139610 | + | 0.641775i | ||||
\(819\) | −357.046 | + | 309.382i | −0.435954 | + | 0.377756i | ||||
\(820\) | 3.85091 | + | 2.60456i | 0.00469623 | + | 0.00317629i | ||||
\(821\) | −46.4712 | + | 29.8652i | −0.0566032 | + | 0.0363766i | −0.568636 | − | 0.822589i | \(-0.692529\pi\) |
0.512033 | + | 0.858966i | \(0.328892\pi\) | |||||||
\(822\) | 283.953 | − | 155.050i | 0.345442 | − | 0.188626i | ||||
\(823\) | −881.927 | + | 63.0766i | −1.07160 | + | 0.0766423i | −0.595973 | − | 0.803005i | \(-0.703233\pi\) |
−0.475627 | + | 0.879647i | \(0.657779\pi\) | |||||||
\(824\) | 93.0916 | + | 317.041i | 0.112975 | + | 0.384758i | ||||
\(825\) | 20.7436 | − | 174.451i | 0.0251437 | − | 0.211455i | ||||
\(826\) | −5.64556 | − | 39.2658i | −0.00683482 | − | 0.0475372i | ||||
\(827\) | −573.134 | + | 573.134i | −0.693027 | + | 0.693027i | −0.962897 | − | 0.269869i | \(-0.913019\pi\) |
0.269869 | + | 0.962897i | \(0.413019\pi\) | |||||||
\(828\) | 333.251 | + | 112.087i | 0.402477 | + | 0.135371i | ||||
\(829\) | − | 484.025i | − | 0.583866i | −0.956439 | − | 0.291933i | \(-0.905702\pi\) | ||
0.956439 | − | 0.291933i | \(-0.0942984\pi\) | |||||||
\(830\) | 738.841 | − | 610.441i | 0.890170 | − | 0.735471i | ||||
\(831\) | 24.2066 | − | 53.0050i | 0.0291294 | − | 0.0637845i | ||||
\(832\) | 83.8250 | − | 153.514i | 0.100751 | − | 0.184512i | ||||
\(833\) | −1131.24 | + | 80.9079i | −1.35803 | + | 0.0971283i | ||||
\(834\) | 118.290 | − | 402.860i | 0.141835 | − | 0.483045i | ||||
\(835\) | 1464.45 | − | 507.382i | 1.75383 | − | 0.607643i | ||||
\(836\) | −55.1372 | − | 120.734i | −0.0659535 | − | 0.144418i | ||||
\(837\) | −95.5198 | − | 6.83171i | −0.114122 | − | 0.00816214i | ||||
\(838\) | −193.553 | − | 889.749i | −0.230970 | − | 1.06175i | ||||
\(839\) | −517.794 | − | 74.4476i | −0.617156 | − | 0.0887337i | −0.173356 | − | 0.984859i | \(-0.555461\pi\) |
−0.443801 | + | 0.896126i | \(0.646370\pi\) | |||||||
\(840\) | 43.2371 | + | 17.2933i | 0.0514728 | + | 0.0205873i | ||||
\(841\) | −23.5642 | − | 15.1438i | −0.0280192 | − | 0.0180069i | ||||
\(842\) | −9.32569 | − | 0.666987i | −0.0110756 | − | 0.000792146i | ||||
\(843\) | −89.7938 | + | 240.747i | −0.106517 | + | 0.285583i | ||||
\(844\) | −71.2679 | − | 110.895i | −0.0844406 | − | 0.131392i | ||||
\(845\) | 1492.31 | − | 400.382i | 1.76605 | − | 0.473825i | ||||
\(846\) | 429.381 | − | 495.533i | 0.507543 | − | 0.585736i | ||||
\(847\) | 114.622 | − | 209.914i | 0.135327 | − | 0.247832i | ||||
\(848\) | 132.586 | − | 49.4519i | 0.156351 | − | 0.0583159i | ||||
\(849\) | 97.9518 | − | 14.0833i | 0.115373 | − | 0.0165882i | ||||
\(850\) | 869.399 | + | 447.494i | 1.02282 | + | 0.526464i | ||||
\(851\) | 300.115 | − | 53.1684i | 0.352661 | − | 0.0624775i | ||||
\(852\) | 101.955 | − | 101.955i | 0.119666 | − | 0.119666i | ||||
\(853\) | −130.370 | + | 174.154i | −0.152837 | + | 0.204167i | −0.870425 | − | 0.492302i | \(-0.836156\pi\) |
0.717587 | + | 0.696469i | \(0.245247\pi\) | |||||||
\(854\) | 32.4987 | + | 14.8417i | 0.0380547 | + | 0.0173790i | ||||
\(855\) | −311.147 | − | 282.667i | −0.363914 | − | 0.330605i | ||||
\(856\) | 149.371 | − | 172.384i | 0.174499 | − | 0.201383i | ||||
\(857\) | −1229.91 | + | 671.583i | −1.43514 | + | 0.783644i | −0.993531 | − | 0.113565i | \(-0.963773\pi\) |
−0.441606 | + | 0.897209i | \(0.645591\pi\) | |||||||
\(858\) | −212.314 | − | 46.1861i | −0.247452 | − | 0.0538299i | ||||
\(859\) | −235.343 | + | 107.477i | −0.273973 | + | 0.125119i | −0.547664 | − | 0.836699i | \(-0.684483\pi\) |
0.273691 | + | 0.961818i | \(0.411755\pi\) | |||||||
\(860\) | 288.754 | + | 559.660i | 0.335761 | + | 0.650768i | ||||
\(861\) | 1.28781 | + | 0.827626i | 0.00149572 | + | 0.000961238i | ||||
\(862\) | −48.6593 | − | 65.0012i | −0.0564493 | − | 0.0754074i | ||||
\(863\) | 518.027 | − | 387.790i | 0.600263 | − | 0.449351i | −0.255436 | − | 0.966826i | \(-0.582219\pi\) |
0.855698 | + | 0.517475i | \(0.173128\pi\) | |||||||
\(864\) | −59.2861 | + | 92.2510i | −0.0686182 | + | 0.106772i | ||||
\(865\) | −524.306 | + | 270.513i | −0.606134 | + | 0.312732i | ||||
\(866\) | −164.717 | − | 360.679i | −0.190204 | − | 0.416489i | ||||
\(867\) | 117.821 | − | 541.613i | 0.135895 | − | 0.624698i | ||||
\(868\) | 13.3863 | + | 24.5152i | 0.0154220 | + | 0.0282433i | ||||
\(869\) | −577.968 | − | 500.812i | −0.665095 | − | 0.576308i | ||||
\(870\) | −163.255 | + | 179.703i | −0.187649 | + | 0.206555i | ||||
\(871\) | −228.406 | + | 500.139i | −0.262234 | + | 0.574212i | ||||
\(872\) | −88.8862 | − | 66.5394i | −0.101934 | − | 0.0763067i | ||||
\(873\) | −342.600 | − | 342.600i | −0.392440 | − | 0.392440i | ||||
\(874\) | 39.3688 | − | 355.611i | 0.0450444 | − | 0.406878i | ||||
\(875\) | −231.158 | + | 267.295i | −0.264181 | + | 0.305480i | ||||
\(876\) | −28.8243 | − | 200.477i | −0.0329045 | − | 0.228855i | ||||
\(877\) | 199.937 | + | 536.051i | 0.227978 | + | 0.611233i | 0.999694 | − | 0.0247343i | \(-0.00787399\pi\) |
−0.771716 | + | 0.635967i | \(0.780601\pi\) | |||||||
\(878\) | 449.108 | + | 245.232i | 0.511513 | + | 0.279307i | ||||
\(879\) | 205.751 | + | 178.285i | 0.234074 | + | 0.202827i | ||||
\(880\) | −31.2683 | − | 116.544i | −0.0355322 | − | 0.132436i | ||||
\(881\) | −887.451 | + | 570.330i | −1.00732 | + | 0.647367i | −0.936699 | − | 0.350137i | \(-0.886135\pi\) |
−0.0706233 | + | 0.997503i | \(0.522499\pi\) | |||||||
\(882\) | 415.319 | + | 154.906i | 0.470883 | + | 0.175630i | ||||
\(883\) | 105.488 | − | 1474.91i | 0.119465 | − | 1.67034i | −0.485614 | − | 0.874173i | \(-0.661404\pi\) |
0.605079 | − | 0.796165i | \(-0.293142\pi\) | |||||||
\(884\) | 653.821 | − | 1017.37i | 0.739617 | − | 1.15087i | ||||
\(885\) | 21.4585 | − | 53.6510i | 0.0242469 | − | 0.0606226i | ||||
\(886\) | 49.2333 | − | 342.425i | 0.0555681 | − | 0.386484i | ||||
\(887\) | −642.961 | + | 139.867i | −0.724871 | + | 0.157686i | −0.559838 | − | 0.828602i | \(-0.689137\pi\) |
−0.165033 | + | 0.986288i | \(0.552773\pi\) | |||||||
\(888\) | −3.11437 | + | 43.5446i | −0.00350717 | + | 0.0490367i | ||||
\(889\) | 404.516 | − | 184.736i | 0.455023 | − | 0.207802i | ||||
\(890\) | 18.4421 | + | 53.2292i | 0.0207214 | + | 0.0598080i | ||||
\(891\) | −267.516 | − | 78.5498i | −0.300243 | − | 0.0881592i | ||||
\(892\) | −25.6763 | − | 359.002i | −0.0287851 | − | 0.402468i | ||||
\(893\) | −585.608 | − | 319.766i | −0.655776 | − | 0.358081i | ||||
\(894\) | −182.389 | − | 83.2942i | −0.204014 | − | 0.0931703i | ||||
\(895\) | −37.5219 | − | 45.4142i | −0.0419239 | − | 0.0507421i | ||||
\(896\) | 31.9848 | 0.0356973 | ||||||||
\(897\) | −427.410 | − | 400.460i | −0.476488 | − | 0.446444i | ||||
\(898\) | 113.975 | + | 113.975i | 0.126921 | + | 0.126921i | ||||
\(899\) | −144.146 | + | 20.7250i | −0.160340 | + | 0.0230534i | ||||
\(900\) | −236.436 | − | 300.253i | −0.262707 | − | 0.333614i | ||||
\(901\) | 938.773 | − | 275.649i | 1.04192 | − | 0.305936i | ||||
\(902\) | −0.282981 | − | 3.95659i | −0.000313726 | − | 0.00438646i | ||||
\(903\) | 99.3807 | + | 182.002i | 0.110056 | + | 0.201553i | ||||
\(904\) | 331.728 | + | 516.179i | 0.366956 | + | 0.570995i | ||||
\(905\) | −70.3748 | + | 104.051i | −0.0777623 | + | 0.114974i | ||||
\(906\) | −44.1338 | − | 50.9332i | −0.0487128 | − | 0.0562176i | ||||
\(907\) | 304.897 | − | 66.3262i | 0.336160 | − | 0.0731271i | −0.0413172 | − | 0.999146i | \(-0.513155\pi\) |
0.377477 | + | 0.926019i | \(0.376792\pi\) | |||||||
\(908\) | −251.615 | + | 188.357i | −0.277109 | + | 0.207441i | ||||
\(909\) | 1032.35 | + | 148.429i | 1.13570 | + | 0.163289i | ||||
\(910\) | 301.711 | + | 316.221i | 0.331551 | + | 0.347495i | ||||
\(911\) | 654.848 | + | 755.735i | 0.718823 | + | 0.829566i | 0.991165 | − | 0.132635i | \(-0.0423437\pi\) |
−0.272342 | + | 0.962201i | \(0.587798\pi\) | |||||||
\(912\) | 48.0155 | + | 17.9089i | 0.0526486 | + | 0.0196369i | ||||
\(913\) | −799.050 | − | 173.823i | −0.875192 | − | 0.190386i | ||||
\(914\) | 74.2814 | − | 252.979i | 0.0812706 | − | 0.276782i | ||||
\(915\) | 30.2004 | + | 42.3815i | 0.0330059 | + | 0.0463186i | ||||
\(916\) | 237.291 | − | 69.6749i | 0.259051 | − | 0.0760643i | ||||
\(917\) | 45.9201 | + | 123.116i | 0.0500764 | + | 0.134260i | ||||
\(918\) | −454.371 | + | 606.968i | −0.494957 | + | 0.661185i | ||||
\(919\) | − | 628.000i | − | 0.683352i | −0.939818 | − | 0.341676i | \(-0.889005\pi\) | ||
0.939818 | − | 0.341676i | \(-0.110995\pi\) | |||||||
\(920\) | 88.8060 | − | 312.911i | 0.0965283 | − | 0.340121i | ||||
\(921\) | 463.582 | 0.503347 | ||||||||
\(922\) | 94.9560 | + | 71.0832i | 0.102989 | + | 0.0770967i | ||||
\(923\) | 1267.96 | − | 472.924i | 1.37374 | − | 0.512377i | ||||
\(924\) | −11.1940 | − | 38.1234i | −0.0121147 | − | 0.0412590i | ||||
\(925\) | −304.627 | − | 130.216i | −0.329327 | − | 0.140774i | ||||
\(926\) | −900.391 | − | 264.379i | −0.972345 | − | 0.285506i | ||||
\(927\) | 189.805 | − | 872.518i | 0.204752 | − | 0.941228i | ||||
\(928\) | −58.2761 | + | 156.244i | −0.0627975 | + | 0.168367i | ||||
\(929\) | 215.059 | − | 186.349i | 0.231495 | − | 0.200591i | −0.531387 | − | 0.847129i | \(-0.678329\pi\) |
0.762882 | + | 0.646538i | \(0.223784\pi\) | |||||||
\(930\) | −0.955064 | + | 40.6747i | −0.00102695 | + | 0.0437363i | ||||
\(931\) | 64.1938 | − | 446.478i | 0.0689514 | − | 0.479568i | ||||
\(932\) | 18.2182 | + | 24.3367i | 0.0195475 | + | 0.0261124i | ||||
\(933\) | 83.6600 | + | 384.579i | 0.0896678 | + | 0.412196i | ||||
\(934\) | −168.472 | + | 145.982i | −0.180377 | + | 0.156297i | ||||
\(935\) | −158.157 | − | 819.172i | −0.169152 | − | 0.876120i | ||||
\(936\) | −397.631 | + | 255.542i | −0.424819 | + | 0.273015i | ||||
\(937\) | −505.756 | + | 276.163i | −0.539760 | + | 0.294732i | −0.725910 | − | 0.687790i | \(-0.758581\pi\) |
0.186149 | + | 0.982521i | \(0.440399\pi\) | |||||||
\(938\) | −100.288 | + | 7.17271i | −0.106916 | + | 0.00764682i | ||||
\(939\) | 61.4046 | + | 209.125i | 0.0653936 | + | 0.222710i | ||||
\(940\) | −476.931 | − | 374.813i | −0.507373 | − | 0.398737i | ||||
\(941\) | −65.6732 | − | 456.767i | −0.0697908 | − | 0.485406i | −0.994500 | − | 0.104733i | \(-0.966601\pi\) |
0.924710 | − | 0.380673i | \(-0.124308\pi\) | |||||||
\(942\) | −226.270 | + | 226.270i | −0.240202 | + | 0.240202i | ||||
\(943\) | 4.81642 | − | 9.54653i | 0.00510755 | − | 0.0101236i | ||||
\(944\) | − | 39.6885i | − | 0.0420429i | ||||||
\(945\) | −174.532 | − | 211.243i | −0.184690 | − | 0.223538i | ||||
\(946\) | 223.217 | − | 488.776i | 0.235958 | − | 0.516677i | ||||
\(947\) | 2.87073 | − | 5.25735i | 0.00303139 | − | 0.00555158i | −0.876159 | − | 0.482022i | \(-0.839902\pi\) |
0.879190 | + | 0.476471i | \(0.158084\pi\) | |||||||
\(948\) | 294.524 | − | 21.0648i | 0.310679 | − | 0.0222202i | ||||
\(949\) | 535.563 | − | 1823.96i | 0.564344 | − | 1.92198i | ||||
\(950\) | −247.412 | + | 300.045i | −0.260434 | + | 0.315837i | ||||
\(951\) | −149.620 | − | 327.621i | −0.157329 | − | 0.344502i | ||||
\(952\) | 220.584 | + | 15.7764i | 0.231705 | + | 0.0165719i | ||||
\(953\) | 197.327 | + | 907.098i | 0.207059 | + | 0.951834i | 0.956945 | + | 0.290268i | \(0.0937444\pi\) |
−0.749887 | + | 0.661566i | \(0.769892\pi\) | |||||||
\(954\) | −378.511 | − | 54.4217i | −0.396762 | − | 0.0570458i | ||||
\(955\) | −1295.36 | + | 555.203i | −1.35640 | + | 0.581364i | ||||
\(956\) | 140.761 | + | 90.4618i | 0.147240 | + | 0.0946253i | ||||
\(957\) | 206.626 | + | 14.7782i | 0.215911 | + | 0.0154422i | ||||
\(958\) | 263.391 | − | 706.179i | 0.274938 | − | 0.737138i | ||||
\(959\) | 300.204 | + | 467.126i | 0.313038 | + | 0.487097i | ||||
\(960\) | 40.3552 | + | 23.2816i | 0.0420366 | + | 0.0242517i | ||||
\(961\) | 613.340 | − | 707.832i | 0.638231 | − | 0.736558i | ||||
\(962\) | −196.367 | + | 359.619i | −0.204124 | + | 0.373824i | ||||
\(963\) | −577.531 | + | 215.408i | −0.599721 | + | 0.223684i | ||||
\(964\) | 331.601 | − | 47.6771i | 0.343985 | − | 0.0494575i | ||||
\(965\) | 385.369 | − | 1590.76i | 0.399346 | − | 1.64846i | ||||
\(966\) | 26.8153 | − | 103.693i | 0.0277591 | − | 0.107343i | ||||
\(967\) | −402.876 | + | 402.876i | −0.416624 | + | 0.416624i | −0.884039 | − | 0.467414i | \(-0.845186\pi\) |
0.467414 | + | 0.884039i | \(0.345186\pi\) | |||||||
\(968\) | 143.397 | − | 191.556i | 0.148138 | − | 0.197889i | ||||
\(969\) | 322.307 | + | 147.193i | 0.332618 | + | 0.151901i | ||||
\(970\) | −301.399 | + | 331.766i | −0.310721 | + | 0.342027i | ||||
\(971\) | −193.082 | + | 222.828i | −0.198848 | + | 0.229483i | −0.846413 | − | 0.532528i | \(-0.821242\pi\) |
0.647564 | + | 0.762011i | \(0.275788\pi\) | |||||||
\(972\) | 400.733 | − | 218.817i | 0.412276 | − | 0.225120i | ||||
\(973\) | 704.154 | + | 153.179i | 0.723694 | + | 0.157430i | ||||
\(974\) | −472.313 | + | 215.698i | −0.484921 | + | 0.221456i | ||||
\(975\) | 150.493 | + | 618.591i | 0.154351 | + | 0.634452i | ||||
\(976\) | 30.0701 | + | 19.3249i | 0.0308095 | + | 0.0198001i | ||||
\(977\) | −552.503 | − | 738.057i | −0.565510 | − | 0.755432i | 0.423076 | − | 0.906094i | \(-0.360950\pi\) |
−0.988585 | + | 0.150662i | \(0.951860\pi\) | |||||||
\(978\) | −73.0030 | + | 54.6494i | −0.0746452 | + | 0.0558787i | ||||
\(979\) | 25.9863 | − | 40.4354i | 0.0265437 | − | 0.0413028i | ||||
\(980\) | 124.736 | − | 390.645i | 0.127282 | − | 0.398617i | ||||
\(981\) | 124.645 | + | 272.934i | 0.127059 | + | 0.278220i | ||||
\(982\) | 57.7122 | − | 265.299i | 0.0587700 | − | 0.270161i | ||||
\(983\) | −494.598 | − | 905.789i | −0.503152 | − | 0.921454i | −0.998604 | − | 0.0528187i | \(-0.983179\pi\) |
0.495452 | − | 0.868635i | \(-0.335002\pi\) | |||||||
\(984\) | 1.15747 | + | 1.00295i | 0.00117629 | + | 0.00101926i | ||||
\(985\) | −1512.25 | + | 72.5281i | −1.53528 | + | 0.0736325i | ||||
\(986\) | −478.970 | + | 1048.80i | −0.485770 | + | 1.06369i | ||||
\(987\) | −159.898 | − | 119.698i | −0.162004 | − | 0.121274i | ||||
\(988\) | 340.107 | + | 340.107i | 0.344238 | + | 0.344238i | ||||
\(989\) | 1192.39 | − | 822.321i | 1.20565 | − | 0.831468i | ||||
\(990\) | −76.7738 | + | 316.914i | −0.0775493 | + | 0.320115i | ||||
\(991\) | 268.338 | + | 1866.33i | 0.270775 | + | 1.88328i | 0.440445 | + | 0.897780i | \(0.354821\pi\) |
−0.169670 | + | 0.985501i | \(0.554270\pi\) | |||||||
\(992\) | 9.76585 | + | 26.1832i | 0.00984460 | + | 0.0263944i | ||||
\(993\) | −563.427 | − | 307.655i | −0.567399 | − | 0.309823i | ||||
\(994\) | 187.024 | + | 162.057i | 0.188153 | + | 0.163035i | ||||
\(995\) | 1000.67 | − | 268.476i | 1.00570 | − | 0.269825i | ||||
\(996\) | 265.610 | − | 170.697i | 0.266677 | − | 0.171383i | ||||
\(997\) | −1365.12 | − | 509.164i | −1.36923 | − | 0.510697i | −0.446031 | − | 0.895018i | \(-0.647163\pi\) |
−0.923200 | + | 0.384321i | \(0.874436\pi\) | |||||||
\(998\) | 33.5191 | − | 468.658i | 0.0335863 | − | 0.469598i | ||||
\(999\) | 138.883 | − | 216.106i | 0.139022 | − | 0.216322i |
(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 | 230.3.k.a.3.8 | ✓ | 240 | |
5.2 | odd | 4 | inner | 230.3.k.a.187.5 | yes | 240 | |
23.8 | even | 11 | inner | 230.3.k.a.123.5 | yes | 240 | |
115.77 | odd | 44 | inner | 230.3.k.a.77.8 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.3.k.a.3.8 | ✓ | 240 | 1.1 | even | 1 | trivial | |
230.3.k.a.77.8 | yes | 240 | 115.77 | odd | 44 | inner | |
230.3.k.a.123.5 | yes | 240 | 23.8 | even | 11 | inner | |
230.3.k.a.187.5 | yes | 240 | 5.2 | odd | 4 | inner |