Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(193,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.193");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.y (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 583.12 | ||
Character | \(\chi\) | \(=\) | 882.583 |
Dual form | 882.2.y.b.823.12 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.365341 | − | 0.930874i | 0.258335 | − | 0.658227i | ||||
\(3\) | −0.476124 | − | 1.66532i | −0.274890 | − | 0.961476i | ||||
\(4\) | −0.733052 | − | 0.680173i | −0.366526 | − | 0.340086i | ||||
\(5\) | −2.80001 | + | 1.34841i | −1.25220 | + | 0.603028i | −0.938101 | − | 0.346362i | \(-0.887417\pi\) |
−0.314099 | + | 0.949390i | \(0.601703\pi\) | |||||||
\(6\) | −1.72415 | − | 0.165200i | −0.703883 | − | 0.0674426i | ||||
\(7\) | 2.46456 | + | 0.962255i | 0.931517 | + | 0.363698i | ||||
\(8\) | −0.900969 | + | 0.433884i | −0.318541 | + | 0.153401i | ||||
\(9\) | −2.54661 | + | 1.58580i | −0.848871 | + | 0.528601i | ||||
\(10\) | 0.232244 | + | 3.09908i | 0.0734420 | + | 0.980016i | ||||
\(11\) | 3.59354 | + | 4.50615i | 1.08349 | + | 1.35866i | 0.928752 | + | 0.370701i | \(0.120883\pi\) |
0.154740 | + | 0.987955i | \(0.450546\pi\) | |||||||
\(12\) | −0.783685 | + | 1.54462i | −0.226230 | + | 0.445892i | ||||
\(13\) | 0.914161 | − | 2.32924i | 0.253543 | − | 0.646016i | −0.746265 | − | 0.665649i | \(-0.768155\pi\) |
0.999807 | + | 0.0196333i | \(0.00624989\pi\) | |||||||
\(14\) | 1.79614 | − | 1.94264i | 0.480040 | − | 0.519194i | ||||
\(15\) | 3.57869 | + | 4.02091i | 0.924014 | + | 1.03819i | ||||
\(16\) | 0.0747301 | + | 0.997204i | 0.0186825 | + | 0.249301i | ||||
\(17\) | 1.66812 | − | 1.54779i | 0.404578 | − | 0.375393i | −0.451473 | − | 0.892285i | \(-0.649101\pi\) |
0.856051 | + | 0.516891i | \(0.172911\pi\) | |||||||
\(18\) | 0.545800 | + | 2.94993i | 0.128646 | + | 0.695306i | ||||
\(19\) | −0.191468 | + | 0.331632i | −0.0439257 | + | 0.0760816i | −0.887152 | − | 0.461477i | \(-0.847320\pi\) |
0.843227 | + | 0.537558i | \(0.180653\pi\) | |||||||
\(20\) | 2.96970 | + | 0.916032i | 0.664045 | + | 0.204831i | ||||
\(21\) | 0.429029 | − | 4.56245i | 0.0936218 | − | 0.995608i | ||||
\(22\) | 5.50753 | − | 1.69885i | 1.17421 | − | 0.362195i | ||||
\(23\) | −1.17748 | + | 5.15888i | −0.245521 | + | 1.07570i | 0.690382 | + | 0.723445i | \(0.257442\pi\) |
−0.935904 | + | 0.352255i | \(0.885415\pi\) | |||||||
\(24\) | 1.15153 | + | 1.29382i | 0.235055 | + | 0.264101i | ||||
\(25\) | 2.90437 | − | 3.64196i | 0.580873 | − | 0.728392i | ||||
\(26\) | −1.83425 | − | 1.70194i | −0.359726 | − | 0.333777i | ||||
\(27\) | 3.85338 | + | 3.48590i | 0.741583 | + | 0.670861i | ||||
\(28\) | −1.15215 | − | 2.38171i | −0.217736 | − | 0.450101i | ||||
\(29\) | 4.46144 | + | 1.37617i | 0.828469 | + | 0.255549i | 0.679855 | − | 0.733347i | \(-0.262043\pi\) |
0.148614 | + | 0.988895i | \(0.452519\pi\) | |||||||
\(30\) | 5.05040 | − | 1.86231i | 0.922073 | − | 0.340010i | ||||
\(31\) | 1.51536 | − | 2.62469i | 0.272167 | − | 0.471408i | −0.697249 | − | 0.716829i | \(-0.745593\pi\) |
0.969417 | + | 0.245421i | \(0.0789262\pi\) | |||||||
\(32\) | 0.955573 | + | 0.294755i | 0.168923 | + | 0.0521058i | ||||
\(33\) | 5.79324 | − | 8.12989i | 1.00847 | − | 1.41523i | ||||
\(34\) | −0.831362 | − | 2.11828i | −0.142577 | − | 0.363281i | ||||
\(35\) | −8.19830 | + | 0.628925i | −1.38577 | + | 0.106308i | ||||
\(36\) | 2.94542 | + | 0.569660i | 0.490903 | + | 0.0949434i | ||||
\(37\) | −2.19009 | − | 0.675555i | −0.360049 | − | 0.111061i | 0.109452 | − | 0.993992i | \(-0.465090\pi\) |
−0.469502 | + | 0.882932i | \(0.655566\pi\) | |||||||
\(38\) | 0.238756 | + | 0.299391i | 0.0387314 | + | 0.0485676i | ||||
\(39\) | −4.31420 | − | 0.413365i | −0.690825 | − | 0.0661914i | ||||
\(40\) | 1.93766 | − | 2.42975i | 0.306372 | − | 0.384178i | ||||
\(41\) | 1.95665 | + | 1.33402i | 0.305577 | + | 0.208339i | 0.706393 | − | 0.707819i | \(-0.250321\pi\) |
−0.400816 | + | 0.916159i | \(0.631273\pi\) | |||||||
\(42\) | −4.09032 | − | 2.06622i | −0.631150 | − | 0.318825i | ||||
\(43\) | 7.12180 | − | 4.85556i | 1.08606 | − | 0.740466i | 0.118465 | − | 0.992958i | \(-0.462203\pi\) |
0.967599 | + | 0.252492i | \(0.0812503\pi\) | |||||||
\(44\) | 0.430713 | − | 5.74747i | 0.0649325 | − | 0.866464i | ||||
\(45\) | 4.99221 | − | 7.87414i | 0.744195 | − | 1.17381i | ||||
\(46\) | 4.37208 | + | 2.98083i | 0.644628 | + | 0.439500i | ||||
\(47\) | −1.50086 | + | 3.82412i | −0.218922 | + | 0.557805i | −0.997571 | − | 0.0696549i | \(-0.977810\pi\) |
0.778649 | + | 0.627460i | \(0.215905\pi\) | |||||||
\(48\) | 1.62509 | − | 0.599243i | 0.234561 | − | 0.0864932i | ||||
\(49\) | 5.14813 | + | 4.74307i | 0.735447 | + | 0.677582i | ||||
\(50\) | −2.32912 | − | 4.03416i | −0.329387 | − | 0.570516i | ||||
\(51\) | −3.37180 | − | 2.04102i | −0.472146 | − | 0.285800i | ||||
\(52\) | −2.25442 | + | 1.08567i | −0.312631 | + | 0.150555i | ||||
\(53\) | −5.28134 | + | 1.62908i | −0.725448 | + | 0.223771i | −0.635418 | − | 0.772168i | \(-0.719172\pi\) |
−0.0900296 | + | 0.995939i | \(0.528696\pi\) | |||||||
\(54\) | 4.65273 | − | 2.31347i | 0.633156 | − | 0.314823i | ||||
\(55\) | −16.1381 | − | 7.77169i | −2.17606 | − | 1.04793i | ||||
\(56\) | −2.63800 | + | 0.202372i | −0.352518 | + | 0.0270431i | ||||
\(57\) | 0.643437 | + | 0.160958i | 0.0852253 | + | 0.0213194i | ||||
\(58\) | 2.91099 | − | 3.65027i | 0.382232 | − | 0.479303i | ||||
\(59\) | 11.1350 | − | 7.59172i | 1.44965 | − | 0.988358i | 0.454427 | − | 0.890784i | \(-0.349844\pi\) |
0.995228 | − | 0.0975738i | \(-0.0311082\pi\) | |||||||
\(60\) | 0.111543 | − | 5.38166i | 0.0144002 | − | 0.694770i | ||||
\(61\) | 3.07148 | − | 2.84992i | 0.393263 | − | 0.364895i | −0.458615 | − | 0.888635i | \(-0.651654\pi\) |
0.851878 | + | 0.523740i | \(0.175464\pi\) | |||||||
\(62\) | −1.88963 | − | 2.36952i | −0.239983 | − | 0.300929i | ||||
\(63\) | −7.80223 | + | 1.45782i | −0.982988 | + | 0.183668i | ||||
\(64\) | 0.623490 | − | 0.781831i | 0.0779362 | − | 0.0977289i | ||||
\(65\) | 0.581124 | + | 7.75456i | 0.0720796 | + | 0.961835i | ||||
\(66\) | −5.45140 | − | 8.36296i | −0.671021 | − | 1.02941i | ||||
\(67\) | −5.13326 | + | 8.89106i | −0.627127 | + | 1.08622i | 0.360998 | + | 0.932567i | \(0.382436\pi\) |
−0.988125 | + | 0.153650i | \(0.950897\pi\) | |||||||
\(68\) | −2.27558 | −0.275954 | ||||||||
\(69\) | 9.15183 | − | 0.495379i | 1.10175 | − | 0.0596367i | ||||
\(70\) | −2.40973 | + | 7.86136i | −0.288017 | + | 0.939612i | ||||
\(71\) | −0.691751 | + | 3.03076i | −0.0820958 | + | 0.359685i | −0.999245 | − | 0.0388597i | \(-0.987627\pi\) |
0.917149 | + | 0.398545i | \(0.130485\pi\) | |||||||
\(72\) | 1.60636 | − | 2.53369i | 0.189312 | − | 0.298598i | ||||
\(73\) | −2.49580 | − | 0.376181i | −0.292111 | − | 0.0440287i | 0.00135189 | − | 0.999999i | \(-0.499570\pi\) |
−0.293463 | + | 0.955970i | \(0.594808\pi\) | |||||||
\(74\) | −1.42899 | + | 1.79189i | −0.166116 | + | 0.208303i | ||||
\(75\) | −7.44789 | − | 3.10269i | −0.860008 | − | 0.358267i | ||||
\(76\) | 0.365923 | − | 0.112872i | 0.0419742 | − | 0.0129473i | ||||
\(77\) | 4.52043 | + | 14.5636i | 0.515151 | + | 1.65968i | ||||
\(78\) | −1.96095 | + | 3.86496i | −0.222033 | + | 0.437620i | ||||
\(79\) | −1.20967 | − | 2.09521i | −0.136098 | − | 0.235729i | 0.789918 | − | 0.613212i | \(-0.210123\pi\) |
−0.926017 | + | 0.377483i | \(0.876790\pi\) | |||||||
\(80\) | −1.55389 | − | 2.69141i | −0.173730 | − | 0.300909i | ||||
\(81\) | 3.97046 | − | 8.07685i | 0.441162 | − | 0.897427i | ||||
\(82\) | 1.95665 | − | 1.33402i | 0.216076 | − | 0.147318i | ||||
\(83\) | 2.42424 | + | 6.17686i | 0.266095 | + | 0.677998i | 0.999999 | − | 0.00125447i | \(-0.000399312\pi\) |
−0.733905 | + | 0.679253i | \(0.762304\pi\) | |||||||
\(84\) | −3.41775 | + | 3.05270i | −0.372907 | + | 0.333077i | ||||
\(85\) | −2.58368 | + | 6.58312i | −0.280240 | + | 0.714039i | ||||
\(86\) | −1.91803 | − | 8.40343i | −0.206826 | − | 0.906165i | ||||
\(87\) | 0.167574 | − | 8.08497i | 0.0179658 | − | 0.866800i | ||||
\(88\) | −5.19281 | − | 2.50073i | −0.553556 | − | 0.266578i | ||||
\(89\) | 3.91149 | + | 9.96631i | 0.414617 | + | 1.05643i | 0.973805 | + | 0.227386i | \(0.0730178\pi\) |
−0.559188 | + | 0.829041i | \(0.688887\pi\) | |||||||
\(90\) | −5.50597 | − | 7.52386i | −0.580380 | − | 0.793085i | ||||
\(91\) | 4.49433 | − | 4.86091i | 0.471134 | − | 0.509562i | ||||
\(92\) | 4.37208 | − | 2.98083i | 0.455821 | − | 0.310773i | ||||
\(93\) | −5.09246 | − | 1.27390i | −0.528063 | − | 0.132097i | ||||
\(94\) | 3.01145 | + | 2.79422i | 0.310607 | + | 0.288201i | ||||
\(95\) | 0.0889345 | − | 1.18675i | 0.00912449 | − | 0.121758i | ||||
\(96\) | 0.0358917 | − | 1.73168i | 0.00366318 | − | 0.176739i | ||||
\(97\) | −5.65141 | + | 9.78852i | −0.573813 | + | 0.993874i | 0.422356 | + | 0.906430i | \(0.361203\pi\) |
−0.996169 | + | 0.0874441i | \(0.972130\pi\) | |||||||
\(98\) | 6.29603 | − | 3.05942i | 0.635995 | − | 0.309048i | ||||
\(99\) | −16.2972 | − | 5.77678i | −1.63793 | − | 0.580588i | ||||
\(100\) | −4.60621 | + | 0.694275i | −0.460621 | + | 0.0694275i | ||||
\(101\) | 17.0427 | − | 8.20734i | 1.69581 | − | 0.816661i | 0.701206 | − | 0.712958i | \(-0.252645\pi\) |
0.994608 | − | 0.103703i | \(-0.0330692\pi\) | |||||||
\(102\) | −3.13179 | + | 2.39305i | −0.310093 | + | 0.236947i | ||||
\(103\) | 7.28979 | − | 3.51058i | 0.718284 | − | 0.345908i | −0.0387800 | − | 0.999248i | \(-0.512347\pi\) |
0.757064 | + | 0.653340i | \(0.226633\pi\) | |||||||
\(104\) | 0.186991 | + | 2.49522i | 0.0183359 | + | 0.244676i | ||||
\(105\) | 4.95077 | + | 13.3534i | 0.483146 | + | 1.30316i | ||||
\(106\) | −0.413025 | + | 5.51143i | −0.0401165 | + | 0.535317i | ||||
\(107\) | 5.29526 | + | 13.4921i | 0.511912 | + | 1.30433i | 0.920189 | + | 0.391473i | \(0.128034\pi\) |
−0.408277 | + | 0.912858i | \(0.633870\pi\) | |||||||
\(108\) | −0.453715 | − | 5.17631i | −0.0436588 | − | 0.498090i | ||||
\(109\) | 0.296098 | − | 0.754446i | 0.0283611 | − | 0.0722629i | −0.915992 | − | 0.401197i | \(-0.868594\pi\) |
0.944353 | + | 0.328934i | \(0.106689\pi\) | |||||||
\(110\) | −13.1304 | + | 12.1832i | −1.25193 | + | 1.16162i | ||||
\(111\) | −0.0822609 | + | 3.96887i | −0.00780786 | + | 0.376708i | ||||
\(112\) | −0.775387 | + | 2.52958i | −0.0732672 | + | 0.239023i | ||||
\(113\) | −19.4053 | − | 2.92488i | −1.82550 | − | 0.275150i | −0.855419 | − | 0.517937i | \(-0.826700\pi\) |
−0.970079 | + | 0.242788i | \(0.921938\pi\) | |||||||
\(114\) | 0.384906 | − | 0.540154i | 0.0360497 | − | 0.0505901i | ||||
\(115\) | −3.65934 | − | 16.0326i | −0.341235 | − | 1.49505i | ||||
\(116\) | −2.33443 | − | 4.04336i | −0.216747 | − | 0.375416i | ||||
\(117\) | 1.36571 | + | 7.38136i | 0.126260 | + | 0.682407i | ||||
\(118\) | −2.99886 | − | 13.1389i | −0.276067 | − | 1.20953i | ||||
\(119\) | 5.60054 | − | 2.20946i | 0.513401 | − | 0.202541i | ||||
\(120\) | −4.96890 | − | 2.06997i | −0.453596 | − | 0.188962i | ||||
\(121\) | −4.94418 | + | 21.6619i | −0.449471 | + | 1.96926i | ||||
\(122\) | −1.53078 | − | 3.90036i | −0.138590 | − | 0.353122i | ||||
\(123\) | 1.28997 | − | 3.89362i | 0.116313 | − | 0.351076i | ||||
\(124\) | −2.89608 | + | 0.893322i | −0.260076 | + | 0.0802227i | ||||
\(125\) | 0.236341 | − | 1.03548i | 0.0211389 | − | 0.0926158i | ||||
\(126\) | −1.49343 | + | 7.79549i | −0.133045 | + | 0.694477i | ||||
\(127\) | 3.02835 | + | 13.2680i | 0.268722 | + | 1.17735i | 0.911501 | + | 0.411297i | \(0.134924\pi\) |
−0.642779 | + | 0.766052i | \(0.722219\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −11.4769 | − | 9.54825i | −1.01049 | − | 0.840677i | ||||
\(130\) | 7.43082 | + | 2.29211i | 0.651726 | + | 0.201031i | ||||
\(131\) | −13.2919 | − | 6.40103i | −1.16132 | − | 0.559261i | −0.248902 | − | 0.968529i | \(-0.580070\pi\) |
−0.912414 | + | 0.409268i | \(0.865784\pi\) | |||||||
\(132\) | −9.77648 | + | 2.01923i | −0.850933 | + | 0.175752i | ||||
\(133\) | −0.790999 | + | 0.633087i | −0.0685883 | + | 0.0548956i | ||||
\(134\) | 6.40107 | + | 8.02669i | 0.552968 | + | 0.693400i | ||||
\(135\) | −15.4899 | − | 4.56459i | −1.33316 | − | 0.392857i | ||||
\(136\) | −0.831362 | + | 2.11828i | −0.0712887 | + | 0.181641i | ||||
\(137\) | 17.0292 | + | 8.20084i | 1.45490 | + | 0.700645i | 0.983439 | − | 0.181240i | \(-0.0580112\pi\) |
0.471465 | + | 0.881885i | \(0.343725\pi\) | |||||||
\(138\) | 2.88240 | − | 8.70018i | 0.245366 | − | 0.740608i | ||||
\(139\) | 4.35699 | + | 2.97054i | 0.369555 | + | 0.251958i | 0.733830 | − | 0.679333i | \(-0.237731\pi\) |
−0.364275 | + | 0.931291i | \(0.618683\pi\) | |||||||
\(140\) | 6.43756 | + | 5.11523i | 0.544073 | + | 0.432316i | ||||
\(141\) | 7.08299 | + | 0.678657i | 0.596496 | + | 0.0571532i | ||||
\(142\) | 2.56853 | + | 1.75119i | 0.215546 | + | 0.146957i | ||||
\(143\) | 13.7810 | − | 4.25088i | 1.15243 | − | 0.355476i | ||||
\(144\) | −1.77168 | − | 2.42098i | −0.147640 | − | 0.201749i | ||||
\(145\) | −14.3477 | + | 2.16257i | −1.19151 | + | 0.179591i | ||||
\(146\) | −1.26199 | + | 2.18584i | −0.104443 | + | 0.180901i | ||||
\(147\) | 5.44761 | − | 10.8316i | 0.449311 | − | 0.893375i | ||||
\(148\) | 1.14596 | + | 1.98486i | 0.0941972 | + | 0.163154i | ||||
\(149\) | −4.81354 | − | 6.03599i | −0.394341 | − | 0.494488i | 0.544538 | − | 0.838736i | \(-0.316705\pi\) |
−0.938879 | + | 0.344249i | \(0.888134\pi\) | |||||||
\(150\) | −5.60923 | + | 5.79950i | −0.457992 | + | 0.473527i | ||||
\(151\) | 4.39024 | − | 19.2349i | 0.357273 | − | 1.56532i | −0.402682 | − | 0.915340i | \(-0.631922\pi\) |
0.759955 | − | 0.649975i | \(-0.225221\pi\) | |||||||
\(152\) | 0.0286168 | − | 0.381865i | 0.00232113 | − | 0.0309733i | ||||
\(153\) | −1.79356 | + | 6.58691i | −0.145001 | + | 0.532520i | ||||
\(154\) | 15.2084 | + | 1.11273i | 1.22552 | + | 0.0896664i | ||||
\(155\) | −0.703868 | + | 9.39247i | −0.0565361 | + | 0.754421i | ||||
\(156\) | 2.88137 | + | 3.23742i | 0.230695 | + | 0.259201i | ||||
\(157\) | 3.76412 | − | 2.56634i | 0.300410 | − | 0.204816i | −0.403728 | − | 0.914879i | \(-0.632286\pi\) |
0.704138 | + | 0.710063i | \(0.251334\pi\) | |||||||
\(158\) | −2.39232 | + | 0.360584i | −0.190322 | + | 0.0286865i | ||||
\(159\) | 5.22752 | + | 8.01950i | 0.414569 | + | 0.635988i | ||||
\(160\) | −3.07306 | + | 0.463189i | −0.242947 | + | 0.0366183i | ||||
\(161\) | −7.86612 | + | 11.5813i | −0.619937 | + | 0.912737i | ||||
\(162\) | −6.06795 | − | 6.64680i | −0.476743 | − | 0.522222i | ||||
\(163\) | 20.0480 | − | 13.6685i | 1.57028 | − | 1.07060i | 0.609688 | − | 0.792641i | \(-0.291295\pi\) |
0.960593 | − | 0.277958i | \(-0.0896578\pi\) | |||||||
\(164\) | −0.526961 | − | 2.30877i | −0.0411487 | − | 0.180284i | ||||
\(165\) | −5.25865 | + | 30.5754i | −0.409386 | + | 2.38029i | ||||
\(166\) | 6.63555 | 0.515018 | ||||||||
\(167\) | −15.6718 | + | 14.5413i | −1.21272 | + | 1.12524i | −0.224136 | + | 0.974558i | \(0.571956\pi\) |
−0.988583 | + | 0.150680i | \(0.951854\pi\) | |||||||
\(168\) | 1.59303 | + | 4.29677i | 0.122905 | + | 0.331503i | ||||
\(169\) | 4.93999 | + | 4.58364i | 0.379999 | + | 0.352588i | ||||
\(170\) | 5.18413 | + | 4.81017i | 0.397604 | + | 0.368923i | ||||
\(171\) | −0.0383087 | − | 1.14817i | −0.00292954 | − | 0.0878026i | ||||
\(172\) | −8.52327 | − | 1.28468i | −0.649893 | − | 0.0979556i | ||||
\(173\) | −14.2708 | + | 4.40196i | −1.08499 | + | 0.334675i | −0.785144 | − | 0.619313i | \(-0.787411\pi\) |
−0.299845 | + | 0.953988i | \(0.596935\pi\) | |||||||
\(174\) | −7.46487 | − | 3.10976i | −0.565910 | − | 0.235750i | ||||
\(175\) | 10.6625 | − | 6.18110i | 0.806008 | − | 0.467247i | ||||
\(176\) | −4.22501 | + | 3.92023i | −0.318472 | + | 0.295499i | ||||
\(177\) | −17.9443 | − | 14.9288i | −1.34878 | − | 1.12212i | ||||
\(178\) | 10.7064 | 0.802479 | ||||||||
\(179\) | −3.68629 | + | 3.42037i | −0.275526 | + | 0.255651i | −0.805817 | − | 0.592165i | \(-0.798273\pi\) |
0.530291 | + | 0.847816i | \(0.322083\pi\) | |||||||
\(180\) | −9.01532 | + | 2.37658i | −0.671962 | + | 0.177140i | ||||
\(181\) | 0.600708 | − | 0.753264i | 0.0446503 | − | 0.0559897i | −0.759005 | − | 0.651085i | \(-0.774314\pi\) |
0.803655 | + | 0.595095i | \(0.202886\pi\) | |||||||
\(182\) | −2.88293 | − | 5.95955i | −0.213697 | − | 0.441751i | ||||
\(183\) | −6.20845 | − | 3.75810i | −0.458942 | − | 0.277807i | ||||
\(184\) | −1.17748 | − | 5.15888i | −0.0868049 | − | 0.380317i | ||||
\(185\) | 7.04320 | − | 1.06159i | 0.517826 | − | 0.0780498i | ||||
\(186\) | −3.04632 | + | 4.27503i | −0.223367 | + | 0.313460i | ||||
\(187\) | 12.9690 | + | 1.95476i | 0.948387 | + | 0.142946i | ||||
\(188\) | 3.70127 | − | 1.78244i | 0.269943 | − | 0.129998i | ||||
\(189\) | 6.14257 | + | 12.2991i | 0.446806 | + | 0.894631i | ||||
\(190\) | −1.07222 | − | 0.516355i | −0.0777871 | − | 0.0374603i | ||||
\(191\) | 6.08294 | + | 4.14728i | 0.440146 | + | 0.300086i | 0.763043 | − | 0.646348i | \(-0.223704\pi\) |
−0.322897 | + | 0.946434i | \(0.604657\pi\) | |||||||
\(192\) | −1.59886 | − | 0.666064i | −0.115388 | − | 0.0480690i | ||||
\(193\) | −0.931074 | + | 12.4243i | −0.0670202 | + | 0.894322i | 0.857816 | + | 0.513957i | \(0.171821\pi\) |
−0.924836 | + | 0.380366i | \(0.875798\pi\) | |||||||
\(194\) | 7.04719 | + | 8.83690i | 0.505959 | + | 0.634452i | ||||
\(195\) | 12.6372 | − | 4.65989i | 0.904967 | − | 0.333702i | ||||
\(196\) | −0.547738 | − | 6.97854i | −0.0391241 | − | 0.498467i | ||||
\(197\) | 22.5892 | 1.60941 | 0.804706 | − | 0.593673i | \(-0.202323\pi\) | ||||
0.804706 | + | 0.593673i | \(0.202323\pi\) | |||||||
\(198\) | −11.3315 | + | 13.0602i | −0.805294 | + | 0.928145i | ||||
\(199\) | 8.37434 | + | 5.70953i | 0.593642 | + | 0.404738i | 0.822536 | − | 0.568713i | \(-0.192559\pi\) |
−0.228894 | + | 0.973451i | \(0.573511\pi\) | |||||||
\(200\) | −1.03656 | + | 4.54145i | −0.0732956 | + | 0.321129i | ||||
\(201\) | 17.2506 | + | 4.31529i | 1.21676 | + | 0.304377i | ||||
\(202\) | −1.41359 | − | 18.8631i | −0.0994602 | − | 1.32720i | ||||
\(203\) | 9.67127 | + | 7.68470i | 0.678790 | + | 0.539360i | ||||
\(204\) | 1.08346 | + | 3.78958i | 0.0758572 | + | 0.265323i | ||||
\(205\) | −7.27744 | − | 1.09690i | −0.508278 | − | 0.0766106i | ||||
\(206\) | −0.604645 | − | 8.06843i | −0.0421276 | − | 0.562154i | ||||
\(207\) | −5.18237 | − | 15.0049i | −0.360200 | − | 1.04291i | ||||
\(208\) | 2.39105 | + | 0.737540i | 0.165789 | + | 0.0511392i | ||||
\(209\) | −2.18243 | + | 0.328949i | −0.150962 | + | 0.0227538i | ||||
\(210\) | 14.2390 | + | 0.269995i | 0.982587 | + | 0.0186314i | ||||
\(211\) | 7.72472 | + | 1.16431i | 0.531791 | + | 0.0801547i | 0.409448 | − | 0.912333i | \(-0.365721\pi\) |
0.122343 | + | 0.992488i | \(0.460959\pi\) | |||||||
\(212\) | 4.97955 | + | 2.39803i | 0.341997 | + | 0.164697i | ||||
\(213\) | 5.37656 | − | 0.291028i | 0.368396 | − | 0.0199409i | ||||
\(214\) | 14.4940 | 0.990791 | ||||||||
\(215\) | −13.3938 | + | 23.1987i | −0.913448 | + | 1.58214i | ||||
\(216\) | −4.98425 | − | 1.46877i | −0.339135 | − | 0.0999368i | ||||
\(217\) | 6.26032 | − | 5.01054i | 0.424979 | − | 0.340137i | ||||
\(218\) | −0.594117 | − | 0.551260i | −0.0402387 | − | 0.0373361i | ||||
\(219\) | 0.561846 | + | 4.33542i | 0.0379661 | + | 0.292961i | ||||
\(220\) | 6.54395 | + | 16.6737i | 0.441193 | + | 1.12414i | ||||
\(221\) | −2.08024 | − | 5.30038i | −0.139932 | − | 0.356542i | ||||
\(222\) | 3.66446 | + | 1.52656i | 0.245942 | + | 0.102456i | ||||
\(223\) | −21.1168 | − | 19.5936i | −1.41409 | − | 1.31208i | −0.886614 | − | 0.462510i | \(-0.846949\pi\) |
−0.527474 | − | 0.849571i | \(-0.676861\pi\) | |||||||
\(224\) | 2.07144 | + | 1.64595i | 0.138404 | + | 0.109974i | ||||
\(225\) | −1.62086 | + | 13.8804i | −0.108058 | + | 0.925361i | ||||
\(226\) | −9.81225 | + | 16.9953i | −0.652701 | + | 1.13051i | ||||
\(227\) | −10.3283 | −0.685514 | −0.342757 | − | 0.939424i | \(-0.611361\pi\) | ||||
−0.342757 | + | 0.939424i | \(0.611361\pi\) | |||||||
\(228\) | −0.362194 | − | 0.555639i | −0.0239869 | − | 0.0367981i | ||||
\(229\) | −19.1275 | − | 9.21133i | −1.26398 | − | 0.608702i | −0.322757 | − | 0.946482i | \(-0.604610\pi\) |
−0.941225 | + | 0.337780i | \(0.890324\pi\) | |||||||
\(230\) | −16.2612 | − | 2.45099i | −1.07223 | − | 0.161613i | ||||
\(231\) | 22.1008 | − | 14.4621i | 1.45413 | − | 0.951533i | ||||
\(232\) | −4.61672 | + | 0.695858i | −0.303102 | + | 0.0456853i | ||||
\(233\) | −27.5936 | − | 8.51149i | −1.80771 | − | 0.557606i | −0.808204 | − | 0.588902i | \(-0.799560\pi\) |
−0.999510 | + | 0.0312963i | \(0.990036\pi\) | |||||||
\(234\) | 7.37006 | + | 1.42541i | 0.481796 | + | 0.0931820i | ||||
\(235\) | −0.954081 | − | 12.7313i | −0.0622374 | − | 0.830500i | ||||
\(236\) | −13.3262 | − | 2.00860i | −0.867463 | − | 0.130749i | ||||
\(237\) | −2.91325 | + | 3.01207i | −0.189236 | + | 0.195655i | ||||
\(238\) | −0.0106219 | − | 6.02060i | −0.000688516 | − | 0.390258i | ||||
\(239\) | −1.74112 | − | 23.2336i | −0.112624 | − | 1.50286i | −0.711881 | − | 0.702300i | \(-0.752156\pi\) |
0.599257 | − | 0.800557i | \(-0.295463\pi\) | |||||||
\(240\) | −3.74223 | + | 3.86917i | −0.241560 | + | 0.249754i | ||||
\(241\) | −0.628107 | + | 2.75192i | −0.0404599 | + | 0.177267i | −0.991121 | − | 0.132966i | \(-0.957550\pi\) |
0.950661 | + | 0.310233i | \(0.100407\pi\) | |||||||
\(242\) | 18.3581 | + | 12.5164i | 1.18011 | + | 0.804583i | ||||
\(243\) | −15.3410 | − | 2.76652i | −0.984126 | − | 0.177473i | ||||
\(244\) | −4.18999 | −0.268237 | ||||||||
\(245\) | −20.8104 | − | 6.33883i | −1.32953 | − | 0.404973i | ||||
\(246\) | −3.15319 | − | 2.62330i | −0.201040 | − | 0.167255i | ||||
\(247\) | 0.597419 | + | 0.749140i | 0.0380129 | + | 0.0476666i | ||||
\(248\) | −0.226487 | + | 3.02225i | −0.0143819 | + | 0.191913i | ||||
\(249\) | 9.13223 | − | 6.97809i | 0.578732 | − | 0.442219i | ||||
\(250\) | −0.877552 | − | 0.598305i | −0.0555013 | − | 0.0378401i | ||||
\(251\) | −25.1982 | − | 12.1348i | −1.59050 | − | 0.765943i | −0.591317 | − | 0.806439i | \(-0.701392\pi\) |
−0.999180 | + | 0.0404959i | \(0.987106\pi\) | |||||||
\(252\) | 6.71101 | + | 4.23821i | 0.422754 | + | 0.266982i | ||||
\(253\) | −27.4780 | + | 13.2327i | −1.72753 | + | 0.831933i | ||||
\(254\) | 13.4573 | + | 2.02835i | 0.844383 | + | 0.127270i | ||||
\(255\) | 12.1932 | + | 1.16829i | 0.763567 | + | 0.0731611i | ||||
\(256\) | −0.988831 | + | 0.149042i | −0.0618019 | + | 0.00931514i | ||||
\(257\) | −0.659360 | − | 2.88885i | −0.0411298 | − | 0.180201i | 0.950191 | − | 0.311669i | \(-0.100888\pi\) |
−0.991320 | + | 0.131468i | \(0.958031\pi\) | |||||||
\(258\) | −13.0812 | + | 7.19521i | −0.814401 | + | 0.447954i | ||||
\(259\) | −4.74757 | − | 3.77238i | −0.295000 | − | 0.234404i | ||||
\(260\) | 4.84845 | − | 6.07976i | 0.300688 | − | 0.377051i | ||||
\(261\) | −13.5439 | + | 3.57039i | −0.838346 | + | 0.221001i | ||||
\(262\) | −10.8146 | + | 10.0345i | −0.668129 | + | 0.619933i | ||||
\(263\) | −13.2297 | −0.815781 | −0.407890 | − | 0.913031i | \(-0.633735\pi\) | ||||
−0.407890 | + | 0.913031i | \(0.633735\pi\) | |||||||
\(264\) | −1.69210 | + | 9.83837i | −0.104141 | + | 0.605510i | ||||
\(265\) | 12.5911 | − | 11.6828i | 0.773466 | − | 0.717672i | ||||
\(266\) | 0.300339 | + | 0.967612i | 0.0184150 | + | 0.0593281i | ||||
\(267\) | 14.7348 | − | 11.2591i | 0.901754 | − | 0.689046i | ||||
\(268\) | 9.81040 | − | 3.02611i | 0.599266 | − | 0.184849i | ||||
\(269\) | −23.9314 | − | 3.60708i | −1.45912 | − | 0.219928i | −0.628956 | − | 0.777441i | \(-0.716517\pi\) |
−0.830168 | + | 0.557513i | \(0.811755\pi\) | |||||||
\(270\) | −9.90815 | + | 12.7515i | −0.602991 | + | 0.776032i | ||||
\(271\) | 1.37758 | + | 1.27820i | 0.0836819 | + | 0.0776454i | 0.720905 | − | 0.693034i | \(-0.243726\pi\) |
−0.637223 | + | 0.770680i | \(0.719917\pi\) | |||||||
\(272\) | 1.66812 | + | 1.54779i | 0.101144 | + | 0.0938483i | ||||
\(273\) | −10.2349 | − | 5.17013i | −0.619441 | − | 0.312910i | ||||
\(274\) | 13.8554 | − | 12.8559i | 0.837036 | − | 0.776656i | ||||
\(275\) | 26.8482 | 1.61901 | ||||||||
\(276\) | −7.04571 | − | 5.86169i | −0.424102 | − | 0.352832i | ||||
\(277\) | −1.87466 | − | 8.21343i | −0.112638 | − | 0.493497i | −0.999505 | − | 0.0314727i | \(-0.989980\pi\) |
0.886867 | − | 0.462025i | \(-0.152877\pi\) | |||||||
\(278\) | 4.35699 | − | 2.97054i | 0.261315 | − | 0.178161i | ||||
\(279\) | 0.303192 | + | 9.08712i | 0.0181516 | + | 0.544032i | ||||
\(280\) | 7.11353 | − | 4.12375i | 0.425115 | − | 0.246441i | ||||
\(281\) | −3.28174 | + | 0.494643i | −0.195772 | + | 0.0295079i | −0.246196 | − | 0.969220i | \(-0.579181\pi\) |
0.0504241 | + | 0.998728i | \(0.483943\pi\) | |||||||
\(282\) | 3.21945 | − | 6.34543i | 0.191716 | − | 0.377865i | ||||
\(283\) | −0.796689 | + | 0.120082i | −0.0473582 | + | 0.00713811i | −0.172679 | − | 0.984978i | \(-0.555242\pi\) |
0.125320 | + | 0.992116i | \(0.460004\pi\) | |||||||
\(284\) | 2.56853 | − | 1.75119i | 0.152414 | − | 0.103914i | ||||
\(285\) | −2.01867 | + | 0.416935i | −0.119575 | + | 0.0246971i | ||||
\(286\) | 1.07774 | − | 14.3814i | 0.0637279 | − | 0.850390i | ||||
\(287\) | 3.53862 | + | 5.17057i | 0.208878 | + | 0.305209i | ||||
\(288\) | −2.90090 | + | 0.764723i | −0.170937 | + | 0.0450617i | ||||
\(289\) | −0.883440 | + | 11.7887i | −0.0519671 | + | 0.693452i | ||||
\(290\) | −3.22873 | + | 14.1460i | −0.189597 | + | 0.830680i | ||||
\(291\) | 18.9918 | + | 4.75087i | 1.11332 | + | 0.278501i | ||||
\(292\) | 1.57368 | + | 1.97333i | 0.0920928 | + | 0.115481i | ||||
\(293\) | −0.602425 | − | 1.04343i | −0.0351940 | − | 0.0609579i | 0.847892 | − | 0.530169i | \(-0.177872\pi\) |
−0.883086 | + | 0.469211i | \(0.844538\pi\) | |||||||
\(294\) | −8.09262 | − | 9.02826i | −0.471971 | − | 0.526539i | ||||
\(295\) | −20.9413 | + | 36.2714i | −1.21925 | + | 2.11180i | ||||
\(296\) | 2.26632 | − | 0.341593i | 0.131727 | − | 0.0198547i | ||||
\(297\) | −1.86072 | + | 29.8906i | −0.107970 | + | 1.73443i | ||||
\(298\) | −7.37733 | + | 2.27561i | −0.427357 | + | 0.131822i | ||||
\(299\) | 10.9399 | + | 7.45868i | 0.632669 | + | 0.431347i | ||||
\(300\) | 3.34932 | + | 7.34028i | 0.193373 | + | 0.423791i | ||||
\(301\) | 22.2244 | − | 5.11384i | 1.28099 | − | 0.294757i | ||||
\(302\) | −16.3013 | − | 11.1141i | −0.938037 | − | 0.639543i | ||||
\(303\) | −21.7823 | − | 24.4740i | −1.25136 | − | 1.40599i | ||||
\(304\) | −0.345013 | − | 0.166150i | −0.0197879 | − | 0.00952933i | ||||
\(305\) | −4.75730 | + | 12.1214i | −0.272402 | + | 0.694070i | ||||
\(306\) | 5.47632 | + | 4.07605i | 0.313061 | + | 0.233012i | ||||
\(307\) | −8.58484 | − | 10.7650i | −0.489963 | − | 0.614394i | 0.473970 | − | 0.880541i | \(-0.342821\pi\) |
−0.963932 | + | 0.266147i | \(0.914249\pi\) | |||||||
\(308\) | 6.59205 | − | 13.7505i | 0.375617 | − | 0.783510i | ||||
\(309\) | −9.31710 | − | 10.4684i | −0.530031 | − | 0.595526i | ||||
\(310\) | 8.48605 | + | 4.08667i | 0.481975 | + | 0.232107i | ||||
\(311\) | −18.4194 | − | 5.68163i | −1.04447 | − | 0.322175i | −0.275391 | − | 0.961332i | \(-0.588807\pi\) |
−0.769076 | + | 0.639157i | \(0.779283\pi\) | |||||||
\(312\) | 4.06631 | − | 1.49943i | 0.230210 | − | 0.0848886i | ||||
\(313\) | 0.101125 | + | 0.175154i | 0.00571595 | + | 0.00990031i | 0.868869 | − | 0.495042i | \(-0.164847\pi\) |
−0.863153 | + | 0.504942i | \(0.831514\pi\) | |||||||
\(314\) | −1.01375 | − | 4.44151i | −0.0572090 | − | 0.250649i | ||||
\(315\) | 19.8805 | − | 14.6025i | 1.12014 | − | 0.822758i | ||||
\(316\) | −0.538353 | + | 2.35868i | −0.0302847 | + | 0.132686i | ||||
\(317\) | −21.3540 | + | 6.58684i | −1.19936 | + | 0.369954i | −0.829167 | − | 0.559001i | \(-0.811185\pi\) |
−0.370193 | + | 0.928955i | \(0.620709\pi\) | |||||||
\(318\) | 9.37497 | − | 1.93631i | 0.525722 | − | 0.108583i | ||||
\(319\) | 9.83111 | + | 25.0493i | 0.550436 | + | 1.40249i | ||||
\(320\) | −0.691544 | + | 3.02985i | −0.0386585 | + | 0.169374i | ||||
\(321\) | 19.9475 | − | 15.2422i | 1.11336 | − | 0.850739i | ||||
\(322\) | 7.90694 | + | 11.5535i | 0.440637 | + | 0.643852i | ||||
\(323\) | 0.193905 | + | 0.849552i | 0.0107891 | + | 0.0472703i | ||||
\(324\) | −8.40420 | + | 3.22015i | −0.466900 | + | 0.178897i | ||||
\(325\) | −5.82796 | − | 10.0943i | −0.323277 | − | 0.559932i | ||||
\(326\) | −5.39929 | − | 23.6558i | −0.299039 | − | 1.31018i | ||||
\(327\) | −1.39738 | − | 0.133890i | −0.0772752 | − | 0.00740412i | ||||
\(328\) | −2.34169 | − | 0.352953i | −0.129298 | − | 0.0194886i | ||||
\(329\) | −7.37873 | + | 7.98057i | −0.406803 | + | 0.439983i | ||||
\(330\) | 26.5406 | + | 16.0656i | 1.46101 | + | 0.884382i | ||||
\(331\) | 22.6013 | − | 20.9709i | 1.24228 | − | 1.15267i | 0.259928 | − | 0.965628i | \(-0.416301\pi\) |
0.982352 | − | 0.187039i | \(-0.0598892\pi\) | |||||||
\(332\) | 2.42424 | − | 6.17686i | 0.133047 | − | 0.338999i | ||||
\(333\) | 6.64862 | − | 1.75268i | 0.364342 | − | 0.0960464i | ||||
\(334\) | 7.81056 | + | 19.9010i | 0.427375 | + | 1.08893i | ||||
\(335\) | 2.38434 | − | 31.8168i | 0.130270 | − | 1.73834i | ||||
\(336\) | 4.58175 | + | 0.0868773i | 0.249955 | + | 0.00473955i | ||||
\(337\) | 0.113618 | + | 1.51612i | 0.00618916 | + | 0.0825886i | 0.999443 | − | 0.0333717i | \(-0.0106245\pi\) |
−0.993254 | + | 0.115960i | \(0.963005\pi\) | |||||||
\(338\) | 6.07157 | − | 2.92391i | 0.330250 | − | 0.159040i | ||||
\(339\) | 4.36846 | + | 33.7087i | 0.237262 | + | 1.83081i | ||||
\(340\) | 6.37163 | − | 3.06842i | 0.345550 | − | 0.166408i | ||||
\(341\) | 17.2728 | − | 2.60345i | 0.935372 | − | 0.140985i | ||||
\(342\) | −1.08279 | − | 0.383812i | −0.0585508 | − | 0.0207542i | ||||
\(343\) | 8.12384 | + | 16.6434i | 0.438646 | + | 0.898660i | ||||
\(344\) | −4.30977 | + | 7.46474i | −0.232367 | + | 0.402472i | ||||
\(345\) | −24.9572 | + | 13.7275i | −1.34365 | + | 0.739063i | ||||
\(346\) | −1.11604 | + | 14.8925i | −0.0599987 | + | 0.800628i | ||||
\(347\) | −6.60649 | − | 6.12992i | −0.354655 | − | 0.329071i | 0.482645 | − | 0.875816i | \(-0.339676\pi\) |
−0.837299 | + | 0.546745i | \(0.815867\pi\) | |||||||
\(348\) | −5.62202 | + | 5.81273i | −0.301372 | + | 0.311595i | ||||
\(349\) | 10.1075 | − | 6.89116i | 0.541041 | − | 0.368875i | −0.261750 | − | 0.965136i | \(-0.584300\pi\) |
0.802791 | + | 0.596260i | \(0.203347\pi\) | |||||||
\(350\) | −1.85838 | − | 12.1836i | −0.0993344 | − | 0.651243i | ||||
\(351\) | 11.6421 | − | 5.78879i | 0.621410 | − | 0.308983i | ||||
\(352\) | 2.10567 | + | 5.36517i | 0.112233 | + | 0.285965i | ||||
\(353\) | −6.45067 | − | 3.10648i | −0.343335 | − | 0.165341i | 0.254268 | − | 0.967134i | \(-0.418166\pi\) |
−0.597602 | + | 0.801793i | \(0.703880\pi\) | |||||||
\(354\) | −20.4526 | + | 11.2498i | −1.08705 | + | 0.597920i | ||||
\(355\) | −2.14980 | − | 9.41891i | −0.114100 | − | 0.499904i | ||||
\(356\) | 3.91149 | − | 9.96631i | 0.207308 | − | 0.528213i | ||||
\(357\) | −6.34602 | − | 8.27474i | −0.335867 | − | 0.437946i | ||||
\(358\) | 1.83718 | + | 4.68107i | 0.0970982 | + | 0.247402i | ||||
\(359\) | 6.50923 | − | 4.43792i | 0.343544 | − | 0.234224i | −0.379240 | − | 0.925298i | \(-0.623815\pi\) |
0.722784 | + | 0.691074i | \(0.242862\pi\) | |||||||
\(360\) | −1.08137 | + | 9.26039i | −0.0569931 | + | 0.488065i | ||||
\(361\) | 9.42668 | + | 16.3275i | 0.496141 | + | 0.859342i | ||||
\(362\) | −0.481730 | − | 0.834382i | −0.0253192 | − | 0.0438541i | ||||
\(363\) | 38.4281 | − | 2.08007i | 2.01695 | − | 0.109176i | ||||
\(364\) | −6.60084 | + | 0.506377i | −0.345978 | + | 0.0265414i | ||||
\(365\) | 7.49550 | − | 2.31205i | 0.392332 | − | 0.121018i | ||||
\(366\) | −5.76652 | + | 4.40629i | −0.301421 | + | 0.230321i | ||||
\(367\) | −8.22412 | + | 10.3127i | −0.429296 | + | 0.538320i | −0.948687 | − | 0.316217i | \(-0.897587\pi\) |
0.519391 | + | 0.854537i | \(0.326159\pi\) | |||||||
\(368\) | −5.23244 | − | 0.788664i | −0.272760 | − | 0.0411119i | ||||
\(369\) | −7.09832 | − | 0.294374i | −0.369524 | − | 0.0153245i | ||||
\(370\) | 1.58496 | − | 6.94417i | 0.0823983 | − | 0.361010i | ||||
\(371\) | −14.5838 | − | 1.06703i | −0.757152 | − | 0.0553976i | ||||
\(372\) | 2.86657 | + | 4.39758i | 0.148625 | + | 0.228004i | ||||
\(373\) | −0.770592 | −0.0398997 | −0.0199499 | − | 0.999801i | \(-0.506351\pi\) | ||||
−0.0199499 | + | 0.999801i | \(0.506351\pi\) | |||||||
\(374\) | 6.55775 | − | 11.3583i | 0.339093 | − | 0.587326i | ||||
\(375\) | −1.83693 | + | 0.0994312i | −0.0948587 | + | 0.00513461i | ||||
\(376\) | −0.306998 | − | 4.09661i | −0.0158322 | − | 0.211267i | ||||
\(377\) | 7.28391 | − | 9.13374i | 0.375141 | − | 0.470412i | ||||
\(378\) | 13.6931 | − | 1.22458i | 0.704296 | − | 0.0629855i | ||||
\(379\) | −15.3750 | − | 19.2796i | −0.789760 | − | 0.990328i | −0.999920 | − | 0.0126607i | \(-0.995970\pi\) |
0.210160 | − | 0.977667i | \(-0.432602\pi\) | |||||||
\(380\) | −0.872388 | + | 0.809457i | −0.0447525 | + | 0.0415243i | ||||
\(381\) | 20.6537 | − | 11.3604i | 1.05812 | − | 0.582012i | ||||
\(382\) | 6.08294 | − | 4.14728i | 0.311230 | − | 0.212193i | ||||
\(383\) | 18.8878 | − | 23.6846i | 0.965122 | − | 1.21023i | −0.0125139 | − | 0.999922i | \(-0.503983\pi\) |
0.977636 | − | 0.210303i | \(-0.0674452\pi\) | |||||||
\(384\) | −1.20415 | + | 1.24500i | −0.0614491 | + | 0.0635335i | ||||
\(385\) | −32.2949 | − | 34.6827i | −1.64590 | − | 1.76760i | ||||
\(386\) | 11.2253 | + | 5.40583i | 0.571354 | + | 0.275149i | ||||
\(387\) | −10.4365 | + | 23.6590i | −0.530517 | + | 1.20265i | ||||
\(388\) | 10.8007 | − | 3.33156i | 0.548321 | − | 0.169134i | ||||
\(389\) | 32.2837 | − | 15.5470i | 1.63685 | − | 0.788266i | 0.637002 | − | 0.770862i | \(-0.280174\pi\) |
0.999849 | − | 0.0174033i | \(-0.00553993\pi\) | |||||||
\(390\) | 0.279105 | − | 13.4661i | 0.0141330 | − | 0.681881i | ||||
\(391\) | 6.02066 | + | 10.4281i | 0.304478 | + | 0.527371i | ||||
\(392\) | −6.69625 | − | 2.03967i | −0.338212 | − | 0.103019i | ||||
\(393\) | −4.33121 | + | 25.1830i | −0.218481 | + | 1.27031i | ||||
\(394\) | 8.25275 | − | 21.0277i | 0.415768 | − | 1.05936i | ||||
\(395\) | 6.21228 | + | 4.23546i | 0.312574 | + | 0.213109i | ||||
\(396\) | 8.01749 | + | 15.3196i | 0.402894 | + | 0.769839i | ||||
\(397\) | −0.985784 | + | 13.1544i | −0.0494751 | + | 0.660199i | 0.916246 | + | 0.400617i | \(0.131204\pi\) |
−0.965721 | + | 0.259583i | \(0.916415\pi\) | |||||||
\(398\) | 8.37434 | − | 5.70953i | 0.419768 | − | 0.286193i | ||||
\(399\) | 1.43091 | + | 1.01584i | 0.0716350 | + | 0.0508557i | ||||
\(400\) | 3.84882 | + | 2.62408i | 0.192441 | + | 0.131204i | ||||
\(401\) | 1.37536 | − | 1.72465i | 0.0686824 | − | 0.0861250i | −0.746303 | − | 0.665606i | \(-0.768173\pi\) |
0.814986 | + | 0.579481i | \(0.196745\pi\) | |||||||
\(402\) | 10.3193 | − | 14.4816i | 0.514682 | − | 0.722274i | ||||
\(403\) | −4.72825 | − | 5.92904i | −0.235531 | − | 0.295346i | ||||
\(404\) | −18.0756 | − | 5.57559i | −0.899295 | − | 0.277396i | ||||
\(405\) | −0.226400 | + | 27.9690i | −0.0112499 | + | 1.38979i | ||||
\(406\) | 10.6868 | − | 6.19519i | 0.530377 | − | 0.307462i | ||||
\(407\) | −4.82603 | − | 12.2965i | −0.239218 | − | 0.609516i | ||||
\(408\) | 3.92345 | + | 0.375925i | 0.194240 | + | 0.0186111i | ||||
\(409\) | −4.55128 | − | 1.40388i | −0.225046 | − | 0.0694176i | 0.180181 | − | 0.983633i | \(-0.442332\pi\) |
−0.405228 | + | 0.914216i | \(0.632808\pi\) | |||||||
\(410\) | −3.67982 | + | 6.37364i | −0.181733 | + | 0.314771i | ||||
\(411\) | 5.54903 | − | 32.2638i | 0.273714 | − | 1.59145i | ||||
\(412\) | −7.73159 | − | 2.38488i | −0.380908 | − | 0.117495i | ||||
\(413\) | 34.7481 | − | 7.99555i | 1.70984 | − | 0.393435i | ||||
\(414\) | −15.8610 | − | 0.657770i | −0.779526 | − | 0.0323276i | ||||
\(415\) | −15.1168 | − | 14.0264i | −0.742056 | − | 0.688527i | ||||
\(416\) | 1.56010 | − | 1.95631i | 0.0764904 | − | 0.0959159i | ||||
\(417\) | 2.87245 | − | 8.67015i | 0.140665 | − | 0.424579i | ||||
\(418\) | −0.491122 | + | 2.15175i | −0.0240216 | + | 0.105245i | ||||
\(419\) | 9.13677 | − | 2.81832i | 0.446360 | − | 0.137684i | −0.0634230 | − | 0.997987i | \(-0.520202\pi\) |
0.509783 | + | 0.860303i | \(0.329726\pi\) | |||||||
\(420\) | 5.45344 | − | 13.1561i | 0.266100 | − | 0.641952i | ||||
\(421\) | −22.6996 | − | 7.00191i | −1.10631 | − | 0.341252i | −0.312808 | − | 0.949816i | \(-0.601270\pi\) |
−0.793505 | + | 0.608564i | \(0.791746\pi\) | |||||||
\(422\) | 3.90598 | − | 6.76536i | 0.190140 | − | 0.329333i | ||||
\(423\) | −2.24220 | − | 12.1186i | −0.109019 | − | 0.589227i | ||||
\(424\) | 4.05149 | − | 3.75924i | 0.196758 | − | 0.182565i | ||||
\(425\) | −0.792154 | − | 10.5706i | −0.0384251 | − | 0.512747i | ||||
\(426\) | 1.69337 | − | 5.11122i | 0.0820439 | − | 0.247639i | ||||
\(427\) | 10.3122 | − | 4.06825i | 0.499043 | − | 0.196877i | ||||
\(428\) | 5.29526 | − | 13.4921i | 0.255956 | − | 0.652166i | ||||
\(429\) | −13.6406 | − | 20.9259i | −0.658572 | − | 1.01031i | ||||
\(430\) | 16.7018 | + | 20.9434i | 0.805431 | + | 1.00998i | ||||
\(431\) | 0.455517 | + | 6.07846i | 0.0219415 | + | 0.292789i | 0.997370 | + | 0.0724741i | \(0.0230895\pi\) |
−0.975429 | + | 0.220315i | \(0.929291\pi\) | |||||||
\(432\) | −3.18819 | + | 4.10311i | −0.153392 | + | 0.197411i | ||||
\(433\) | 29.4796 | − | 14.1966i | 1.41670 | − | 0.682247i | 0.440227 | − | 0.897886i | \(-0.354898\pi\) |
0.976473 | + | 0.215640i | \(0.0691837\pi\) | |||||||
\(434\) | −2.37702 | − | 7.65813i | −0.114101 | − | 0.367602i | ||||
\(435\) | 10.4327 | + | 22.8639i | 0.500208 | + | 1.09624i | ||||
\(436\) | −0.730209 | + | 0.351650i | −0.0349707 | + | 0.0168410i | ||||
\(437\) | −1.48540 | − | 1.37825i | −0.0710562 | − | 0.0659306i | ||||
\(438\) | 4.24100 | + | 1.06090i | 0.202643 | + | 0.0506918i | ||||
\(439\) | −8.95833 | + | 22.8255i | −0.427558 | + | 1.08940i | 0.541091 | + | 0.840964i | \(0.318012\pi\) |
−0.968648 | + | 0.248435i | \(0.920084\pi\) | |||||||
\(440\) | 17.9119 | 0.853917 | ||||||||
\(441\) | −20.6319 | − | 3.91485i | −0.982470 | − | 0.186421i | ||||
\(442\) | −5.69398 | −0.270835 | ||||||||
\(443\) | 0.640071 | − | 1.63087i | 0.0304107 | − | 0.0774851i | −0.914862 | − | 0.403767i | \(-0.867701\pi\) |
0.945273 | + | 0.326282i | \(0.105796\pi\) | |||||||
\(444\) | 2.75982 | − | 2.85343i | 0.130975 | − | 0.135418i | ||||
\(445\) | −24.3909 | − | 22.6314i | −1.15624 | − | 1.07283i | ||||
\(446\) | −25.9540 | + | 12.4988i | −1.22896 | + | 0.591834i | ||||
\(447\) | −7.76004 | + | 10.8900i | −0.367037 | + | 0.515079i | ||||
\(448\) | 2.28895 | − | 1.32692i | 0.108143 | − | 0.0626909i | ||||
\(449\) | 11.4176 | − | 5.49841i | 0.538828 | − | 0.259486i | −0.144617 | − | 0.989488i | \(-0.546195\pi\) |
0.683445 | + | 0.730002i | \(0.260481\pi\) | |||||||
\(450\) | 12.3287 | + | 6.57990i | 0.581182 | + | 0.310180i | ||||
\(451\) | 1.01999 | + | 13.6108i | 0.0480294 | + | 0.640908i | ||||
\(452\) | 12.2357 | + | 15.3431i | 0.575518 | + | 0.721676i | ||||
\(453\) | −34.1227 | + | 1.84703i | −1.60322 | + | 0.0867809i | ||||
\(454\) | −3.77336 | + | 9.61435i | −0.177092 | + | 0.451224i | ||||
\(455\) | −6.02965 | + | 19.6708i | −0.282674 | + | 0.922181i | ||||
\(456\) | −0.649554 | + | 0.134159i | −0.0304182 | + | 0.00628256i | ||||
\(457\) | 1.69284 | + | 22.5894i | 0.0791879 | + | 1.05669i | 0.885329 | + | 0.464966i | \(0.153933\pi\) |
−0.806141 | + | 0.591724i | \(0.798448\pi\) | |||||||
\(458\) | −15.5627 | + | 14.4400i | −0.727195 | + | 0.674739i | ||||
\(459\) | 11.8233 | − | 0.149325i | 0.551865 | − | 0.00696991i | ||||
\(460\) | −8.22246 | + | 14.2417i | −0.383374 | + | 0.664023i | ||||
\(461\) | 34.4988 | + | 10.6415i | 1.60677 | + | 0.495622i | 0.962978 | − | 0.269581i | \(-0.0868850\pi\) |
0.643790 | + | 0.765203i | \(0.277361\pi\) | |||||||
\(462\) | −5.38801 | − | 25.8567i | −0.250673 | − | 1.20296i | ||||
\(463\) | −9.48809 | + | 2.92669i | −0.440949 | + | 0.136015i | −0.507277 | − | 0.861783i | \(-0.669348\pi\) |
0.0663279 | + | 0.997798i | \(0.478872\pi\) | |||||||
\(464\) | −1.03892 | + | 4.55181i | −0.0482307 | + | 0.211312i | ||||
\(465\) | 15.9766 | − | 3.29981i | 0.740899 | − | 0.153025i | ||||
\(466\) | −18.0042 | + | 22.5765i | −0.834028 | + | 1.04584i | ||||
\(467\) | 27.6900 | + | 25.6925i | 1.28134 | + | 1.18891i | 0.971213 | + | 0.238213i | \(0.0765616\pi\) |
0.310126 | + | 0.950696i | \(0.399629\pi\) | |||||||
\(468\) | 4.01946 | − | 6.33984i | 0.185800 | − | 0.293059i | ||||
\(469\) | −21.2067 | + | 16.9731i | −0.979235 | + | 0.783744i | ||||
\(470\) | −12.1998 | − | 3.76315i | −0.562736 | − | 0.173581i | ||||
\(471\) | −6.06597 | − | 5.04659i | −0.279505 | − | 0.232535i | ||||
\(472\) | −6.73837 | + | 11.6712i | −0.310159 | + | 0.537211i | ||||
\(473\) | 47.4723 | + | 14.6433i | 2.18278 | + | 0.673299i | ||||
\(474\) | 1.73953 | + | 3.81230i | 0.0798992 | + | 0.175105i | ||||
\(475\) | 0.651698 | + | 1.66050i | 0.0299019 | + | 0.0761889i | ||||
\(476\) | −5.60830 | − | 2.18969i | −0.257056 | − | 0.100364i | ||||
\(477\) | 10.8661 | − | 12.5238i | 0.497526 | − | 0.573425i | ||||
\(478\) | −22.2637 | − | 6.86743i | −1.01832 | − | 0.314109i | ||||
\(479\) | −25.1139 | − | 31.4919i | −1.14748 | − | 1.43890i | −0.879768 | − | 0.475403i | \(-0.842302\pi\) |
−0.267716 | − | 0.963498i | \(-0.586269\pi\) | |||||||
\(480\) | 2.23452 | + | 4.89711i | 0.101991 | + | 0.223521i | ||||
\(481\) | −3.57563 | + | 4.48370i | −0.163035 | + | 0.204439i | ||||
\(482\) | 2.33221 | + | 1.59008i | 0.106229 | + | 0.0724260i | ||||
\(483\) | 23.0319 | + | 7.58550i | 1.04799 | + | 0.345152i | ||||
\(484\) | 18.3581 | − | 12.5164i | 0.834461 | − | 0.568926i | ||||
\(485\) | 2.62501 | − | 35.0283i | 0.119196 | − | 1.59056i | ||||
\(486\) | −8.17998 | + | 13.2698i | −0.371052 | + | 0.601931i | ||||
\(487\) | −27.4697 | − | 18.7285i | −1.24477 | − | 0.848671i | −0.251888 | − | 0.967756i | \(-0.581051\pi\) |
−0.992884 | + | 0.119085i | \(0.962004\pi\) | |||||||
\(488\) | −1.53078 | + | 3.90036i | −0.0692950 | + | 0.176561i | ||||
\(489\) | −32.3078 | − | 26.8785i | −1.46101 | − | 1.21549i | ||||
\(490\) | −13.5035 | + | 17.0560i | −0.610028 | + | 0.770513i | ||||
\(491\) | 12.1520 | + | 21.0480i | 0.548414 | + | 0.949881i | 0.998383 | + | 0.0568370i | \(0.0181015\pi\) |
−0.449969 | + | 0.893044i | \(0.648565\pi\) | |||||||
\(492\) | −3.59395 | + | 1.97682i | −0.162028 | + | 0.0891219i | ||||
\(493\) | 9.57222 | − | 4.60974i | 0.431111 | − | 0.207612i | ||||
\(494\) | 0.915617 | − | 0.282430i | 0.0411955 | − | 0.0127071i | ||||
\(495\) | 53.4218 | − | 5.80033i | 2.40113 | − | 0.260705i | ||||
\(496\) | 2.73059 | + | 1.31498i | 0.122607 | + | 0.0590445i | ||||
\(497\) | −4.62123 | + | 6.80385i | −0.207290 | + | 0.305195i | ||||
\(498\) | −3.15934 | − | 11.0503i | −0.141574 | − | 0.495178i | ||||
\(499\) | 22.9091 | − | 28.7271i | 1.02555 | − | 1.28600i | 0.0680150 | − | 0.997684i | \(-0.478333\pi\) |
0.957536 | − | 0.288315i | \(-0.0930951\pi\) | |||||||
\(500\) | −0.877552 | + | 0.598305i | −0.0392453 | + | 0.0267570i | ||||
\(501\) | 31.6777 | + | 19.1751i | 1.41525 | + | 0.856682i | ||||
\(502\) | −20.5019 | + | 19.0230i | −0.915046 | + | 0.849038i | ||||
\(503\) | −17.8538 | − | 22.3879i | −0.796061 | − | 0.998229i | −0.999816 | − | 0.0192066i | \(-0.993886\pi\) |
0.203755 | − | 0.979022i | \(-0.434685\pi\) | |||||||
\(504\) | 6.39704 | − | 4.69871i | 0.284947 | − | 0.209297i | ||||
\(505\) | −36.6528 | + | 45.9612i | −1.63103 | + | 2.04525i | ||||
\(506\) | 2.27914 | + | 30.4130i | 0.101320 | + | 1.35202i | ||||
\(507\) | 5.28120 | − | 10.4091i | 0.234546 | − | 0.462283i | ||||
\(508\) | 6.80463 | − | 11.7860i | 0.301907 | − | 0.522918i | ||||
\(509\) | −7.03289 | −0.311728 | −0.155864 | − | 0.987779i | \(-0.549816\pi\) | ||||
−0.155864 | + | 0.987779i | \(0.549816\pi\) | |||||||
\(510\) | 5.54220 | − | 10.9235i | 0.245413 | − | 0.483700i | ||||
\(511\) | −5.78907 | − | 3.32872i | −0.256093 | − | 0.147254i | ||||
\(512\) | −0.222521 | + | 0.974928i | −0.00983413 | + | 0.0430861i | ||||
\(513\) | −1.89383 | + | 0.610467i | −0.0836147 | + | 0.0269528i | ||||
\(514\) | −2.93004 | − | 0.441633i | −0.129239 | − | 0.0194796i | ||||
\(515\) | −15.6777 | + | 19.6593i | −0.690844 | + | 0.866291i | ||||
\(516\) | 1.91873 | + | 14.8057i | 0.0844674 | + | 0.651783i | ||||
\(517\) | −22.6255 | + | 6.97903i | −0.995066 | + | 0.306937i | ||||
\(518\) | −5.24609 | + | 3.04118i | −0.230500 | + | 0.133622i | ||||
\(519\) | 14.1254 | + | 21.6696i | 0.620035 | + | 0.951192i | ||||
\(520\) | −3.88815 | − | 6.73448i | −0.170507 | − | 0.295326i | ||||
\(521\) | −22.0442 | − | 38.1816i | −0.965772 | − | 1.67277i | −0.707526 | − | 0.706687i | \(-0.750189\pi\) |
−0.258246 | − | 0.966079i | \(-0.583144\pi\) | |||||||
\(522\) | −1.62456 | + | 13.9121i | −0.0711050 | + | 0.608914i | ||||
\(523\) | 25.1712 | − | 17.1614i | 1.10066 | − | 0.750418i | 0.130154 | − | 0.991494i | \(-0.458453\pi\) |
0.970506 | + | 0.241076i | \(0.0775003\pi\) | |||||||
\(524\) | 5.38983 | + | 13.7331i | 0.235456 | + | 0.599931i | ||||
\(525\) | −15.3702 | − | 14.8135i | −0.670810 | − | 0.646515i | ||||
\(526\) | −4.83337 | + | 12.3152i | −0.210745 | + | 0.536969i | ||||
\(527\) | −1.53465 | − | 6.72374i | −0.0668504 | − | 0.292891i | ||||
\(528\) | 8.54009 | + | 5.16949i | 0.371660 | + | 0.224973i | ||||
\(529\) | −4.50525 | − | 2.16962i | −0.195881 | − | 0.0943311i | ||||
\(530\) | −6.27520 | − | 15.9890i | −0.272577 | − | 0.694516i | ||||
\(531\) | −16.3176 | + | 36.9911i | −0.708122 | + | 1.60528i | ||||
\(532\) | 1.01045 | + | 0.0739304i | 0.0438086 | + | 0.00320529i | ||||
\(533\) | 4.89595 | − | 3.33800i | 0.212067 | − | 0.144585i | ||||
\(534\) | −5.09758 | − | 17.8296i | −0.220594 | − | 0.771564i | ||||
\(535\) | −33.0197 | − | 30.6378i | −1.42756 | − | 1.32459i | ||||
\(536\) | 0.767218 | − | 10.2378i | 0.0331388 | − | 0.442206i | ||||
\(537\) | 7.45116 | + | 4.51034i | 0.321541 | + | 0.194636i | ||||
\(538\) | −12.1009 | + | 20.9593i | −0.521705 | + | 0.903620i | ||||
\(539\) | −2.87301 | + | 40.2427i | −0.123750 | + | 1.73337i | ||||
\(540\) | 8.25020 | + | 13.8819i | 0.355032 | + | 0.597381i | ||||
\(541\) | 16.5643 | − | 2.49667i | 0.712156 | − | 0.107340i | 0.217034 | − | 0.976164i | \(-0.430362\pi\) |
0.495122 | + | 0.868824i | \(0.335124\pi\) | |||||||
\(542\) | 1.69313 | − | 0.815370i | 0.0727263 | − | 0.0350231i | ||||
\(543\) | −1.54044 | − | 0.641727i | −0.0661066 | − | 0.0275391i | ||||
\(544\) | 2.05023 | − | 0.987336i | 0.0879027 | − | 0.0423317i | ||||
\(545\) | 0.188227 | + | 2.51172i | 0.00806276 | + | 0.107590i | ||||
\(546\) | −8.55195 | + | 7.63850i | −0.365989 | + | 0.326897i | ||||
\(547\) | 2.13374 | − | 28.4728i | 0.0912323 | − | 1.21741i | −0.744253 | − | 0.667898i | \(-0.767194\pi\) |
0.835486 | − | 0.549512i | \(-0.185187\pi\) | |||||||
\(548\) | −6.90531 | − | 17.5944i | −0.294980 | − | 0.751597i | ||||
\(549\) | −3.30246 | + | 12.1284i | −0.140946 | + | 0.517628i | ||||
\(550\) | 9.80874 | − | 24.9923i | 0.418246 | − | 1.06567i | ||||
\(551\) | −1.31060 | + | 1.21606i | −0.0558336 | + | 0.0518060i | ||||
\(552\) | −8.03058 | + | 4.41715i | −0.341804 | + | 0.188006i | ||||
\(553\) | −0.965180 | − | 6.32778i | −0.0410436 | − | 0.269085i | ||||
\(554\) | −8.33056 | − | 1.25563i | −0.353932 | − | 0.0533466i | ||||
\(555\) | −5.12133 | − | 11.2238i | −0.217388 | − | 0.476422i | ||||
\(556\) | −1.17342 | − | 5.14107i | −0.0497639 | − | 0.218030i | ||||
\(557\) | 5.80542 | + | 10.0553i | 0.245984 | + | 0.426056i | 0.962408 | − | 0.271609i | \(-0.0875557\pi\) |
−0.716424 | + | 0.697665i | \(0.754222\pi\) | |||||||
\(558\) | 8.56973 | + | 3.03767i | 0.362786 | + | 0.128595i | ||||
\(559\) | −4.79931 | − | 21.0272i | −0.202989 | − | 0.889354i | ||||
\(560\) | −1.23983 | − | 8.12838i | −0.0523922 | − | 0.343487i | ||||
\(561\) | −2.91954 | − | 22.5283i | −0.123263 | − | 0.951146i | ||||
\(562\) | −0.738504 | + | 3.23560i | −0.0311519 | + | 0.136486i | ||||
\(563\) | 5.34921 | + | 13.6296i | 0.225442 | + | 0.574417i | 0.998180 | − | 0.0603083i | \(-0.0192084\pi\) |
−0.772738 | + | 0.634726i | \(0.781113\pi\) | |||||||
\(564\) | −4.73060 | − | 5.31515i | −0.199194 | − | 0.223808i | ||||
\(565\) | 58.2789 | − | 17.9767i | 2.45181 | − | 0.756284i | ||||
\(566\) | −0.179282 | + | 0.785487i | −0.00753580 | + | 0.0330165i | ||||
\(567\) | 17.5574 | − | 16.0853i | 0.737343 | − | 0.675519i | ||||
\(568\) | −0.691751 | − | 3.03076i | −0.0290252 | − | 0.127168i | ||||
\(569\) | 13.8736 | + | 24.0297i | 0.581610 | + | 1.00738i | 0.995289 | + | 0.0969547i | \(0.0309102\pi\) |
−0.413679 | + | 0.910423i | \(0.635756\pi\) | |||||||
\(570\) | −0.349388 | + | 2.03145i | −0.0146342 | + | 0.0850879i | ||||
\(571\) | 20.1207 | + | 6.20642i | 0.842026 | + | 0.259731i | 0.685618 | − | 0.727962i | \(-0.259532\pi\) |
0.156408 | + | 0.987692i | \(0.450008\pi\) | |||||||
\(572\) | −12.9935 | − | 6.25735i | −0.543286 | − | 0.261633i | ||||
\(573\) | 4.01033 | − | 12.1047i | 0.167534 | − | 0.505680i | ||||
\(574\) | 6.10595 | − | 1.40498i | 0.254858 | − | 0.0586428i | ||||
\(575\) | 15.3686 | + | 19.2716i | 0.640914 | + | 0.803681i | ||||
\(576\) | −0.347956 | + | 2.97975i | −0.0144982 | + | 0.124156i | ||||
\(577\) | −7.89725 | + | 20.1219i | −0.328767 | + | 0.837684i | 0.666939 | + | 0.745112i | \(0.267604\pi\) |
−0.995706 | + | 0.0925721i | \(0.970491\pi\) | |||||||
\(578\) | 10.6510 | + | 5.12926i | 0.443024 | + | 0.213349i | ||||
\(579\) | 21.1338 | − | 4.36498i | 0.878292 | − | 0.181402i | ||||
\(580\) | 11.9885 | + | 8.17364i | 0.497797 | + | 0.339392i | ||||
\(581\) | 0.0309733 | + | 17.5560i | 0.00128499 | + | 0.728345i | ||||
\(582\) | 11.3610 | − | 15.9433i | 0.470927 | − | 0.660872i | ||||
\(583\) | −26.3196 | − | 17.9444i | −1.09005 | − | 0.743180i | ||||
\(584\) | 2.41186 | − | 0.743959i | 0.0998033 | − | 0.0307852i | ||||
\(585\) | −13.7771 | − | 18.8263i | −0.569613 | − | 0.778372i | ||||
\(586\) | −1.19139 | + | 0.179574i | −0.0492160 | + | 0.00741812i | ||||
\(587\) | 11.9686 | − | 20.7302i | 0.493996 | − | 0.855627i | −0.505980 | − | 0.862545i | \(-0.668869\pi\) |
0.999976 | + | 0.00691849i | \(0.00220224\pi\) | |||||||
\(588\) | −11.3607 | + | 4.23481i | −0.468509 | + | 0.174641i | ||||
\(589\) | 0.580287 | + | 1.00509i | 0.0239103 | + | 0.0414138i | ||||
\(590\) | 26.1134 | + | 32.7452i | 1.07507 | + | 1.34810i | ||||
\(591\) | −10.7553 | − | 37.6183i | −0.442412 | − | 1.54741i | ||||
\(592\) | 0.510000 | − | 2.23445i | 0.0209609 | − | 0.0918355i | ||||
\(593\) | 0.792233 | − | 10.5716i | 0.0325331 | − | 0.434124i | −0.957027 | − | 0.290000i | \(-0.906345\pi\) |
0.989560 | − | 0.144124i | \(-0.0460363\pi\) | |||||||
\(594\) | 27.1446 | + | 12.6524i | 1.11376 | + | 0.519133i | ||||
\(595\) | −12.7023 | + | 13.7383i | −0.520743 | + | 0.563217i | ||||
\(596\) | −0.576940 | + | 7.69874i | −0.0236324 | + | 0.315352i | ||||
\(597\) | 5.52099 | − | 16.6644i | 0.225959 | − | 0.682030i | ||||
\(598\) | 10.9399 | − | 7.45868i | 0.447365 | − | 0.305008i | ||||
\(599\) | 8.81907 | − | 1.32926i | 0.360338 | − | 0.0543121i | 0.0336213 | − | 0.999435i | \(-0.489296\pi\) |
0.326716 | + | 0.945123i | \(0.394058\pi\) | |||||||
\(600\) | 8.05652 | − | 0.436091i | 0.328906 | − | 0.0178034i | ||||
\(601\) | 6.79916 | − | 1.02481i | 0.277343 | − | 0.0418028i | −0.00889770 | − | 0.999960i | \(-0.502832\pi\) |
0.286241 | + | 0.958158i | \(0.407594\pi\) | |||||||
\(602\) | 3.35914 | − | 22.5564i | 0.136908 | − | 0.919330i | ||||
\(603\) | −1.02706 | − | 30.7824i | −0.0418250 | − | 1.25356i | ||||
\(604\) | −16.3013 | + | 11.1141i | −0.663292 | + | 0.452225i | ||||
\(605\) | −15.3654 | − | 67.3201i | −0.624691 | − | 2.73695i | ||||
\(606\) | −30.7401 | + | 11.3353i | −1.24873 | + | 0.460464i | ||||
\(607\) | −27.9193 | −1.13321 | −0.566605 | − | 0.823990i | \(-0.691743\pi\) | ||||
−0.566605 | + | 0.823990i | \(0.691743\pi\) | |||||||
\(608\) | −0.280712 | + | 0.260462i | −0.0113844 | + | 0.0105631i | ||||
\(609\) | 8.19280 | − | 19.7647i | 0.331989 | − | 0.800905i | ||||
\(610\) | 9.54547 | + | 8.85690i | 0.386485 | + | 0.358605i | ||||
\(611\) | 7.53528 | + | 6.99172i | 0.304845 | + | 0.282855i | ||||
\(612\) | 5.79501 | − | 3.60862i | 0.234250 | − | 0.145870i | ||||
\(613\) | 23.3812 | + | 3.52415i | 0.944359 | + | 0.142339i | 0.603132 | − | 0.797642i | \(-0.293919\pi\) |
0.341227 | + | 0.939981i | \(0.389157\pi\) | |||||||
\(614\) | −13.1573 | + | 4.05849i | −0.530985 | + | 0.163787i | ||||
\(615\) | 1.63827 | + | 12.6416i | 0.0660616 | + | 0.509757i | ||||
\(616\) | −10.3917 | − | 11.1600i | −0.418692 | − | 0.449649i | ||||
\(617\) | 16.4767 | − | 15.2881i | 0.663326 | − | 0.615477i | −0.274911 | − | 0.961470i | \(-0.588648\pi\) |
0.938237 | + | 0.345993i | \(0.112458\pi\) | |||||||
\(618\) | −13.1487 | + | 4.84851i | −0.528917 | + | 0.195036i | ||||
\(619\) | 20.7727 | 0.834924 | 0.417462 | − | 0.908694i | \(-0.362920\pi\) | ||||
0.417462 | + | 0.908694i | \(0.362920\pi\) | |||||||
\(620\) | 6.90447 | − | 6.40642i | 0.277290 | − | 0.257288i | ||||
\(621\) | −22.5206 | + | 15.7745i | −0.903720 | + | 0.633010i | ||||
\(622\) | −12.0182 | + | 15.0704i | −0.481887 | + | 0.604267i | ||||
\(623\) | 0.0499752 | + | 28.3264i | 0.00200221 | + | 1.13487i | ||||
\(624\) | 0.0898087 | − | 4.33303i | 0.00359523 | − | 0.173460i | ||||
\(625\) | 5.91727 | + | 25.9253i | 0.236691 | + | 1.03701i | ||||
\(626\) | 0.199992 | − | 0.0301439i | 0.00799328 | − | 0.00120479i | ||||
\(627\) | 1.58691 | + | 3.47784i | 0.0633752 | + | 0.138891i | ||||
\(628\) | −4.50485 | − | 0.678997i | −0.179763 | − | 0.0270949i | ||||
\(629\) | −4.69895 | + | 2.26289i | −0.187359 | + | 0.0902275i | ||||
\(630\) | −6.32992 | − | 23.8412i | −0.252190 | − | 0.949855i | ||||
\(631\) | −16.2616 | − | 7.83117i | −0.647364 | − | 0.311754i | 0.0812346 | − | 0.996695i | \(-0.474114\pi\) |
−0.728599 | + | 0.684941i | \(0.759828\pi\) | |||||||
\(632\) | 1.99895 | + | 1.36286i | 0.0795140 | + | 0.0542117i | ||||
\(633\) | −1.73896 | − | 13.4185i | −0.0691176 | − | 0.533338i | ||||
\(634\) | −1.66998 | + | 22.2843i | −0.0663233 | + | 0.885023i | ||||
\(635\) | −26.3702 | − | 33.0671i | −1.04647 | − | 1.31223i | ||||
\(636\) | 1.62261 | − | 9.43433i | 0.0643405 | − | 0.374095i | ||||
\(637\) | 15.7540 | − | 7.65532i | 0.624196 | − | 0.303315i | ||||
\(638\) | 26.9094 | 1.06535 | ||||||||
\(639\) | −3.04456 | − | 8.81515i | −0.120441 | − | 0.348722i | ||||
\(640\) | 2.56776 | + | 1.75067i | 0.101500 | + | 0.0692013i | ||||
\(641\) | −0.976713 | + | 4.27926i | −0.0385778 | + | 0.169021i | −0.990547 | − | 0.137173i | \(-0.956198\pi\) |
0.951969 | + | 0.306194i | \(0.0990555\pi\) | |||||||
\(642\) | −6.90096 | − | 24.1373i | −0.272359 | − | 0.952622i | ||||
\(643\) | −0.742972 | − | 9.91428i | −0.0293000 | − | 0.390981i | −0.992504 | − | 0.122210i | \(-0.961002\pi\) |
0.963204 | − | 0.268770i | \(-0.0866173\pi\) | |||||||
\(644\) | 13.6436 | − | 3.13939i | 0.537633 | − | 0.123709i | ||||
\(645\) | 45.0105 | + | 11.2595i | 1.77229 | + | 0.443343i | ||||
\(646\) | 0.861667 | + | 0.129875i | 0.0339018 | + | 0.00510988i | ||||
\(647\) | 1.03814 | + | 13.8530i | 0.0408134 | + | 0.544617i | 0.979710 | + | 0.200419i | \(0.0642303\pi\) |
−0.938897 | + | 0.344199i | \(0.888151\pi\) | |||||||
\(648\) | −0.0728498 | + | 8.99971i | −0.00286181 | + | 0.353542i | ||||
\(649\) | 74.2235 | + | 22.8949i | 2.91353 | + | 0.898705i | ||||
\(650\) | −11.5257 | + | 1.73722i | −0.452076 | + | 0.0681395i | ||||
\(651\) | −11.3249 | − | 8.03983i | −0.443856 | − | 0.315106i | ||||
\(652\) | −23.9932 | − | 3.61639i | −0.939645 | − | 0.141629i | ||||
\(653\) | 2.09818 | + | 1.01043i | 0.0821083 | + | 0.0395413i | 0.474487 | − | 0.880262i | \(-0.342634\pi\) |
−0.392379 | + | 0.919804i | \(0.628348\pi\) | |||||||
\(654\) | −0.635154 | + | 1.25187i | −0.0248365 | + | 0.0489519i | ||||
\(655\) | 45.8485 | 1.79145 | ||||||||
\(656\) | −1.18407 | + | 2.05087i | −0.0462302 | + | 0.0800730i | ||||
\(657\) | 6.95238 | − | 2.99986i | 0.271238 | − | 0.117036i | ||||
\(658\) | 4.73315 | + | 9.78430i | 0.184517 | + | 0.381432i | ||||
\(659\) | −4.25124 | − | 3.94457i | −0.165605 | − | 0.153659i | 0.593017 | − | 0.805190i | \(-0.297937\pi\) |
−0.758622 | + | 0.651531i | \(0.774127\pi\) | |||||||
\(660\) | 24.6514 | − | 18.8366i | 0.959556 | − | 0.733213i | ||||
\(661\) | 1.03546 | + | 2.63831i | 0.0402747 | + | 0.102618i | 0.949596 | − | 0.313476i | \(-0.101494\pi\) |
−0.909321 | + | 0.416095i | \(0.863398\pi\) | |||||||
\(662\) | −11.2641 | − | 28.7005i | −0.437792 | − | 1.11548i | ||||
\(663\) | −7.83639 | + | 5.98792i | −0.304340 | + | 0.232552i | ||||
\(664\) | −4.86420 | − | 4.51332i | −0.188768 | − | 0.175151i | ||||
\(665\) | 1.36114 | − | 2.83924i | 0.0527827 | − | 0.110101i | ||||
\(666\) | 0.797487 | − | 6.82935i | 0.0309020 | − | 0.264632i | ||||
\(667\) | −12.3528 | + | 21.3956i | −0.478301 | + | 0.828441i | ||||
\(668\) | 21.3788 | 0.827171 | ||||||||
\(669\) | −22.5754 | + | 44.4953i | −0.872815 | + | 1.72029i | ||||
\(670\) | −28.7463 | − | 13.8435i | −1.11057 | − | 0.534821i | ||||
\(671\) | 23.8797 | + | 3.59928i | 0.921864 | + | 0.138949i | ||||
\(672\) | 1.75477 | − | 4.23329i | 0.0676919 | − | 0.163303i | ||||
\(673\) | 3.16839 | − | 0.477558i | 0.122133 | − | 0.0184085i | −0.0876915 | − | 0.996148i | \(-0.527949\pi\) |
0.209824 | + | 0.977739i | \(0.432711\pi\) | |||||||
\(674\) | 1.45283 | + | 0.448139i | 0.0559609 | + | 0.0172617i | ||||
\(675\) | 23.8871 | − | 3.90953i | 0.919416 | − | 0.150478i | ||||
\(676\) | −0.503601 | − | 6.72009i | −0.0193693 | − | 0.258465i | ||||
\(677\) | −22.7499 | − | 3.42899i | −0.874349 | − | 0.131787i | −0.303490 | − | 0.952835i | \(-0.598152\pi\) |
−0.570860 | + | 0.821048i | \(0.693390\pi\) | |||||||
\(678\) | 32.9746 | + | 8.24870i | 1.26638 | + | 0.316789i | ||||
\(679\) | −23.3473 | + | 18.6863i | −0.895987 | + | 0.717116i | ||||
\(680\) | −0.528489 | − | 7.05220i | −0.0202666 | − | 0.270440i | ||||
\(681\) | 4.91756 | + | 17.2000i | 0.188441 | + | 0.659105i | ||||
\(682\) | 3.88696 | − | 17.0299i | 0.148840 | − | 0.652109i | ||||
\(683\) | −31.0164 | − | 21.1466i | −1.18681 | − | 0.809152i | −0.201425 | − | 0.979504i | \(-0.564557\pi\) |
−0.985383 | + | 0.170352i | \(0.945510\pi\) | |||||||
\(684\) | −0.752870 | + | 0.867723i | −0.0287867 | + | 0.0331782i | ||||
\(685\) | −58.7400 | −2.24434 | ||||||||
\(686\) | 18.4609 | − | 1.48175i | 0.704840 | − | 0.0565735i | ||||
\(687\) | −6.23278 | + | 36.2393i | −0.237795 | + | 1.38261i | ||||
\(688\) | 5.37419 | + | 6.73903i | 0.204889 | + | 0.256923i | ||||
\(689\) | −1.03348 | + | 13.7908i | −0.0393723 | + | 0.525386i | ||||
\(690\) | 3.66068 | + | 28.2472i | 0.139360 | + | 1.07535i | ||||
\(691\) | −4.13276 | − | 2.81767i | −0.157217 | − | 0.107189i | 0.482156 | − | 0.876085i | \(-0.339854\pi\) |
−0.639373 | + | 0.768896i | \(0.720806\pi\) | |||||||
\(692\) | 13.4553 | + | 6.47975i | 0.511495 | + | 0.246323i | ||||
\(693\) | −34.6068 | − | 29.9193i | −1.31460 | − | 1.13654i | ||||
\(694\) | −8.11980 | + | 3.91029i | −0.308224 | + | 0.148433i | ||||
\(695\) | −16.2051 | − | 2.44253i | −0.614695 | − | 0.0926503i | ||||
\(696\) | 3.35696 | + | 7.35702i | 0.127245 | + | 0.278867i | ||||
\(697\) | 5.32870 | − | 0.803172i | 0.201839 | − | 0.0304223i | ||||
\(698\) | −2.72212 | − | 11.9264i | −0.103034 | − | 0.451421i | ||||
\(699\) | −1.03643 | + | 50.0048i | −0.0392012 | + | 1.89135i | ||||
\(700\) | −12.0204 | − | 2.72127i | −0.454327 | − | 0.102854i | ||||
\(701\) | 11.4845 | − | 14.4011i | 0.433762 | − | 0.543921i | −0.516125 | − | 0.856513i | \(-0.672626\pi\) |
0.949887 | + | 0.312593i | \(0.101197\pi\) | |||||||
\(702\) | −1.13529 | − | 12.9522i | −0.0428488 | − | 0.488850i | ||||
\(703\) | 0.643368 | − | 0.596958i | 0.0242651 | − | 0.0225147i | ||||
\(704\) | 5.76359 | 0.217223 | ||||||||
\(705\) | −20.7475 | + | 7.65055i | −0.781397 | + | 0.288136i | ||||
\(706\) | −5.24844 | + | 4.86984i | −0.197528 | + | 0.183279i | ||||
\(707\) | 49.9004 | − | 3.82806i | 1.87670 | − | 0.143969i | ||||
\(708\) | 2.99996 | + | 23.1488i | 0.112745 | + | 0.869986i | ||||
\(709\) | −45.0961 | + | 13.9103i | −1.69362 | + | 0.522413i | −0.983382 | − | 0.181549i | \(-0.941889\pi\) |
−0.710238 | + | 0.703962i | \(0.751413\pi\) | |||||||
\(710\) | −9.55323 | − | 1.43992i | −0.358526 | − | 0.0540391i | ||||
\(711\) | 6.40314 | + | 3.41739i | 0.240137 | + | 0.128162i | ||||
\(712\) | −7.84835 | − | 7.28220i | −0.294129 | − | 0.272912i | ||||
\(713\) | 11.7561 | + | 10.9081i | 0.440270 | + | 0.408511i | ||||
\(714\) | −10.0212 | + | 2.88424i | −0.375034 | + | 0.107940i | ||||
\(715\) | −32.8549 | + | 30.4849i | −1.22871 | + | 1.14007i | ||||
\(716\) | 5.02868 | 0.187931 | ||||||||
\(717\) | −37.8625 | + | 13.9616i | −1.41400 | + | 0.521406i | ||||
\(718\) | −1.75305 | − | 7.68062i | −0.0654233 | − | 0.286638i | ||||
\(719\) | 1.26049 | − | 0.859390i | 0.0470085 | − | 0.0320498i | −0.539588 | − | 0.841929i | \(-0.681420\pi\) |
0.586596 | + | 0.809879i | \(0.300468\pi\) | |||||||
\(720\) | 8.22519 | + | 4.38982i | 0.306535 | + | 0.163599i | ||||
\(721\) | 21.3442 | − | 1.63740i | 0.794900 | − | 0.0609800i | ||||
\(722\) | 18.6428 | − | 2.80995i | 0.693813 | − | 0.104575i | ||||
\(723\) | 4.88189 | − | 0.264252i | 0.181560 | − | 0.00982764i | ||||
\(724\) | −0.952700 | + | 0.143596i | −0.0354068 | + | 0.00533672i | ||||
\(725\) | 17.9696 | − | 12.2515i | 0.667375 | − | 0.455009i | ||||
\(726\) | 12.1031 | − | 36.5316i | 0.449187 | − | 1.35582i | ||||
\(727\) | −1.51507 | + | 20.2172i | −0.0561908 | + | 0.749814i | 0.895950 | + | 0.444155i | \(0.146496\pi\) |
−0.952141 | + | 0.305659i | \(0.901123\pi\) | |||||||
\(728\) | −1.94018 | + | 6.32955i | −0.0719080 | + | 0.234589i | ||||
\(729\) | 2.69706 | + | 26.8650i | 0.0998911 | + | 0.994998i | ||||
\(730\) | 0.586182 | − | 7.82205i | 0.0216956 | − | 0.289507i | ||||
\(731\) | 4.36462 | − | 19.1227i | 0.161431 | − | 0.707277i | ||||
\(732\) | 1.99496 | + | 6.97770i | 0.0737358 | + | 0.257903i | ||||
\(733\) | 12.8190 | + | 16.0745i | 0.473479 | + | 0.593724i | 0.960019 | − | 0.279934i | \(-0.0903127\pi\) |
−0.486540 | + | 0.873658i | \(0.661741\pi\) | |||||||
\(734\) | 6.59524 | + | 11.4233i | 0.243435 | + | 0.421641i | ||||
\(735\) | −0.647874 | + | 37.6742i | −0.0238972 | + | 1.38963i | ||||
\(736\) | −2.64577 | + | 4.58261i | −0.0975245 | + | 0.168917i | ||||
\(737\) | −58.5111 | + | 8.81912i | −2.15528 | + | 0.324857i | ||||
\(738\) | −2.86733 | + | 6.50009i | −0.105548 | + | 0.239272i | ||||
\(739\) | 1.55703 | − | 0.480280i | 0.0572762 | − | 0.0176674i | −0.265985 | − | 0.963977i | \(-0.585697\pi\) |
0.323261 | + | 0.946310i | \(0.395221\pi\) | |||||||
\(740\) | −5.88510 | − | 4.01239i | −0.216341 | − | 0.147498i | ||||
\(741\) | 0.963116 | − | 1.35158i | 0.0353809 | − | 0.0496516i | ||||
\(742\) | −6.32133 | + | 13.1858i | −0.232063 | + | 0.484067i | ||||
\(743\) | 12.7512 | + | 8.69360i | 0.467795 | + | 0.318937i | 0.774174 | − | 0.632972i | \(-0.218165\pi\) |
−0.306380 | + | 0.951909i | \(0.599118\pi\) | |||||||
\(744\) | 5.14087 | − | 1.06179i | 0.188473 | − | 0.0389273i | ||||
\(745\) | 21.6169 | + | 10.4102i | 0.791984 | + | 0.381399i | ||||
\(746\) | −0.281529 | + | 0.717324i | −0.0103075 | + | 0.0262631i | ||||
\(747\) | −15.9689 | − | 11.8857i | −0.584270 | − | 0.434875i | ||||
\(748\) | −8.17737 | − | 10.2541i | −0.298994 | − | 0.374927i | ||||
\(749\) | 0.0676550 | + | 38.3475i | 0.00247206 | + | 1.40119i | ||||
\(750\) | −0.578548 | + | 1.74628i | −0.0211256 | + | 0.0637650i | ||||
\(751\) | 4.58485 | + | 2.20795i | 0.167304 | + | 0.0805691i | 0.515661 | − | 0.856793i | \(-0.327546\pi\) |
−0.348358 | + | 0.937362i | \(0.613261\pi\) | |||||||
\(752\) | −3.92559 | − | 1.21088i | −0.143151 | − | 0.0441563i | ||||
\(753\) | −8.21094 | + | 47.7409i | −0.299223 | + | 1.73977i | ||||
\(754\) | −5.84125 | − | 10.1173i | −0.212726 | − | 0.368452i | ||||
\(755\) | 13.6439 | + | 59.7777i | 0.496551 | + | 2.17553i | ||||
\(756\) | 3.86272 | − | 13.1939i | 0.140486 | − | 0.479858i | ||||
\(757\) | −2.99285 | + | 13.1125i | −0.108777 | + | 0.476582i | 0.890970 | + | 0.454063i | \(0.150026\pi\) |
−0.999746 | + | 0.0225194i | \(0.992831\pi\) | |||||||
\(758\) | −23.5640 | + | 7.26853i | −0.855883 | + | 0.264005i | ||||
\(759\) | 35.1197 | + | 39.4594i | 1.27476 | + | 1.43228i | ||||
\(760\) | 0.434784 | + | 1.10781i | 0.0157713 | + | 0.0401845i | ||||
\(761\) | −6.51508 | + | 28.5444i | −0.236171 | + | 1.03473i | 0.708241 | + | 0.705971i | \(0.249489\pi\) |
−0.944412 | + | 0.328764i | \(0.893368\pi\) | |||||||
\(762\) | −3.02946 | − | 23.3764i | −0.109746 | − | 0.846839i | ||||
\(763\) | 1.45572 | − | 1.57446i | 0.0527007 | − | 0.0569992i | ||||
\(764\) | −1.63824 | − | 7.17762i | −0.0592696 | − | 0.259677i | ||||
\(765\) | −3.85989 | − | 20.8619i | −0.139554 | − | 0.754262i | ||||
\(766\) | −15.1469 | − | 26.2351i | −0.547278 | − | 0.947913i | ||||
\(767\) | −7.50378 | − | 32.8762i | −0.270946 | − | 1.18709i | ||||
\(768\) | 0.719010 | + | 1.57576i | 0.0259450 | + | 0.0568604i | ||||
\(769\) | 29.4078 | + | 4.43251i | 1.06047 | + | 0.159840i | 0.656039 | − | 0.754727i | \(-0.272231\pi\) |
0.404433 | + | 0.914568i | \(0.367469\pi\) | |||||||
\(770\) | −44.0839 | + | 17.3915i | −1.58867 | + | 0.626745i | ||||
\(771\) | −4.49693 | + | 2.47350i | −0.161953 | + | 0.0890808i | ||||
\(772\) | 9.13321 | − | 8.47438i | 0.328712 | − | 0.305000i | ||||
\(773\) | 2.79605 | − | 7.12422i | 0.100567 | − | 0.256241i | −0.871731 | − | 0.489984i | \(-0.837002\pi\) |
0.972298 | + | 0.233744i | \(0.0750977\pi\) | |||||||
\(774\) | 18.2107 | + | 18.3587i | 0.654568 | + | 0.659888i | ||||
\(775\) | −5.15783 | − | 13.1419i | −0.185275 | − | 0.472073i | ||||
\(776\) | 0.844660 | − | 11.2712i | 0.0303215 | − | 0.404613i | ||||
\(777\) | −4.02180 | + | 9.70236i | −0.144281 | + | 0.348070i | ||||
\(778\) | −2.67775 | − | 35.7320i | −0.0960019 | − | 1.28106i | ||||
\(779\) | −0.817039 | + | 0.393465i | −0.0292735 | + | 0.0140974i | ||||
\(780\) | −12.4332 | − | 5.17952i | −0.445181 | − | 0.185456i | ||||
\(781\) | −16.1429 | + | 7.77401i | −0.577638 | + | 0.278176i | ||||
\(782\) | 11.9068 | − | 1.79467i | 0.425787 | − | 0.0641771i | ||||
\(783\) | 12.3944 | + | 20.8550i | 0.442941 | + | 0.745298i | ||||
\(784\) | −4.34509 | + | 5.48819i | −0.155182 | + | 0.196007i | ||||
\(785\) | −7.07909 | + | 12.2613i | −0.252664 | + | 0.437626i | ||||
\(786\) | 21.8598 | + | 13.2322i | 0.779713 | + | 0.471976i | ||||
\(787\) | −0.550660 | + | 7.34805i | −0.0196289 | + | 0.261930i | 0.978752 | + | 0.205048i | \(0.0657349\pi\) |
−0.998381 | + | 0.0568820i | \(0.981884\pi\) | |||||||
\(788\) | −16.5590 | − | 15.3645i | −0.589891 | − | 0.547339i | ||||
\(789\) | 6.29900 | + | 22.0318i | 0.224250 | + | 0.784353i | ||||
\(790\) | 6.21228 | − | 4.23546i | 0.221023 | − | 0.150691i | ||||
\(791\) | −45.0111 | − | 25.8814i | −1.60041 | − | 0.920237i | ||||
\(792\) | 17.1897 | − | 1.86640i | 0.610811 | − | 0.0663195i | ||||
\(793\) | −3.83033 | − | 9.75952i | −0.136019 | − | 0.346571i | ||||
\(794\) | 11.8849 | + | 5.72347i | 0.421780 | + | 0.203118i | ||||
\(795\) | −25.4507 | − | 15.4058i | −0.902642 | − | 0.546388i | ||||
\(796\) | −2.25536 | − | 9.88138i | −0.0799392 | − | 0.350236i | ||||
\(797\) | 11.4165 | − | 29.0888i | 0.404393 | − | 1.03038i | −0.573114 | − | 0.819476i | \(-0.694265\pi\) |
0.977507 | − | 0.210902i | \(-0.0676400\pi\) | |||||||
\(798\) | 1.46839 | − | 0.960866i | 0.0519804 | − | 0.0340143i | ||||
\(799\) | 3.41532 | + | 8.70208i | 0.120825 | + | 0.307858i | ||||
\(800\) | 3.84882 | − | 2.62408i | 0.136076 | − | 0.0927753i | ||||
\(801\) | −25.7656 | − | 19.1775i | −0.910384 | − | 0.677603i | ||||
\(802\) | −1.10296 | − | 1.91038i | −0.0389468 | − | 0.0674578i | ||||
\(803\) | −7.27362 | − | 12.5983i | −0.256680 | − | 0.444583i | ||||
\(804\) | −9.71042 | − | 14.8967i | −0.342460 | − | 0.525366i | ||||
\(805\) | 6.40879 | − | 43.0346i | 0.225880 | − | 1.51677i | ||||
\(806\) | −7.24661 | + | 2.23528i | −0.255251 | + | 0.0787345i | ||||
\(807\) | 5.38736 | + | 41.5710i | 0.189644 | + | 1.46337i | ||||
\(808\) | −11.7939 | + | 14.7891i | −0.414909 | + | 0.520280i | ||||
\(809\) | 39.4983 | + | 5.95340i | 1.38868 | + | 0.209311i | 0.800460 | − | 0.599387i | \(-0.204589\pi\) |
0.588225 | + | 0.808697i | \(0.299827\pi\) | |||||||
\(810\) | 25.9529 | + | 10.4290i | 0.911893 | + | 0.366437i | ||||
\(811\) | −6.28556 | + | 27.5388i | −0.220716 | + | 0.967019i | 0.736225 | + | 0.676736i | \(0.236606\pi\) |
−0.956941 | + | 0.290282i | \(0.906251\pi\) | |||||||
\(812\) | −1.86261 | − | 12.2114i | −0.0653650 | − | 0.428537i | ||||
\(813\) | 1.47273 | − | 2.90270i | 0.0516508 | − | 0.101802i | ||||
\(814\) | −13.2097 | −0.462999 | ||||||||
\(815\) | −37.7038 | + | 65.3048i | −1.32071 | + | 2.28753i | ||||
\(816\) | 1.78334 | − | 3.51489i | 0.0624292 | − | 0.123046i | ||||
\(817\) | 0.246664 | + | 3.29150i | 0.00862967 | + | 0.115155i | ||||
\(818\) | −2.96961 | + | 3.72377i | −0.103830 | + | 0.130199i | ||||
\(819\) | −3.73688 | + | 19.5060i | −0.130577 | + | 0.681594i | ||||
\(820\) | 4.58866 | + | 5.75400i | 0.160243 | + | 0.200938i | ||||
\(821\) | 4.77521 | − | 4.43075i | 0.166656 | − | 0.154634i | −0.592436 | − | 0.805617i | \(-0.701834\pi\) |
0.759092 | + | 0.650983i | \(0.225643\pi\) | |||||||
\(822\) | −28.0062 | − | 16.9527i | −0.976829 | − | 0.591294i | ||||
\(823\) | −29.4438 | + | 20.0744i | −1.02635 | + | 0.699751i | −0.954667 | − | 0.297677i | \(-0.903788\pi\) |
−0.0716795 | + | 0.997428i | \(0.522836\pi\) | |||||||
\(824\) | −5.04469 | + | 6.32584i | −0.175740 | + | 0.220371i | ||||
\(825\) | −12.7831 | − | 44.7109i | −0.445049 | − | 1.55663i | ||||
\(826\) | 5.25206 | − | 35.2672i | 0.182742 | − | 1.22710i | ||||
\(827\) | −35.5901 | − | 17.1393i | −1.23759 | − | 0.595992i | −0.303432 | − | 0.952853i | \(-0.598133\pi\) |
−0.934157 | + | 0.356861i | \(0.883847\pi\) | |||||||
\(828\) | −6.40698 | + | 14.5243i | −0.222658 | + | 0.504754i | ||||
\(829\) | −20.5518 | + | 6.33940i | −0.713794 | + | 0.220176i | −0.630322 | − | 0.776334i | \(-0.717077\pi\) |
−0.0834721 | + | 0.996510i | \(0.526601\pi\) | |||||||
\(830\) | −18.5796 | + | 8.94745i | −0.644906 | + | 0.310570i | ||||
\(831\) | −12.7855 | + | 7.03254i | −0.443523 | + | 0.243956i | ||||
\(832\) | −1.25111 | − | 2.16698i | −0.0433743 | − | 0.0751265i | ||||
\(833\) | 15.9289 | − | 0.0562058i | 0.551905 | − | 0.00194741i | ||||
\(834\) | −7.02139 | − | 5.84145i | −0.243131 | − | 0.202273i | ||||
\(835\) | 24.2734 | − | 61.8477i | 0.840016 | − | 2.14033i | ||||
\(836\) | 1.82358 | + | 1.24329i | 0.0630697 | + | 0.0430002i | ||||
\(837\) | 14.9887 | − | 4.83151i | 0.518084 | − | 0.167002i | ||||
\(838\) | 0.714537 | − | 9.53483i | 0.0246833 | − | 0.329375i | ||||
\(839\) | 20.8370 | − | 14.2065i | 0.719375 | − | 0.490461i | −0.147453 | − | 0.989069i | \(-0.547108\pi\) |
0.866828 | + | 0.498608i | \(0.166155\pi\) | |||||||
\(840\) | −10.2543 | − | 9.88293i | −0.353807 | − | 0.340993i | ||||
\(841\) | −5.95033 | − | 4.05686i | −0.205184 | − | 0.139892i | ||||
\(842\) | −14.8110 | + | 18.5724i | −0.510421 | + | 0.640047i | ||||
\(843\) | 2.38626 | + | 5.22965i | 0.0821870 | + | 0.180119i | ||||
\(844\) | −4.87068 | − | 6.10764i | −0.167656 | − | 0.210234i | ||||
\(845\) | −20.0126 | − | 6.17308i | −0.688455 | − | 0.212360i | ||||
\(846\) | −12.1001 | − | 2.34022i | −0.416009 | − | 0.0804584i | ||||
\(847\) | −33.0295 | + | 48.6294i | −1.13491 | + | 1.67093i | ||||
\(848\) | −2.01920 | − | 5.14483i | −0.0693395 | − | 0.176674i | ||||
\(849\) | 0.579297 | + | 1.26957i | 0.0198814 | + | 0.0435716i | ||||
\(850\) | −10.1293 | − | 3.12446i | −0.347431 | − | 0.107168i | ||||
\(851\) | 6.06389 | − | 10.5030i | 0.207868 | − | 0.360037i | ||||
\(852\) | −4.13924 | − | 3.44365i | −0.141808 | − | 0.117977i | ||||
\(853\) | −39.9368 | − | 12.3189i | −1.36741 | − | 0.421790i | −0.477784 | − | 0.878477i | \(-0.658560\pi\) |
−0.889627 | + | 0.456687i | \(0.849036\pi\) | |||||||
\(854\) | −0.0195580 | − | 11.0857i | −0.000669261 | − | 0.379344i | ||||
\(855\) | 1.65547 | + | 3.16322i | 0.0566158 | + | 0.108180i | ||||
\(856\) | −10.6249 | − | 9.85844i | −0.363151 | − | 0.336955i | ||||
\(857\) | −3.94750 | + | 4.95001i | −0.134844 | + | 0.169089i | −0.844669 | − | 0.535289i | \(-0.820203\pi\) |
0.709825 | + | 0.704378i | \(0.248774\pi\) | |||||||
\(858\) | −24.4628 | + | 5.05255i | −0.835147 | + | 0.172491i | ||||
\(859\) | −8.96267 | + | 39.2680i | −0.305802 | + | 1.33981i | 0.555416 | + | 0.831572i | \(0.312559\pi\) |
−0.861219 | + | 0.508235i | \(0.830298\pi\) | |||||||
\(860\) | 25.5975 | − | 7.89577i | 0.872866 | − | 0.269244i | ||||
\(861\) | 6.92586 | − | 8.35478i | 0.236033 | − | 0.284730i | ||||
\(862\) | 5.82470 | + | 1.79668i | 0.198390 | + | 0.0611952i | ||||
\(863\) | 12.1963 | − | 21.1247i | 0.415168 | − | 0.719093i | −0.580278 | − | 0.814419i | \(-0.697056\pi\) |
0.995446 | + | 0.0953259i | \(0.0303893\pi\) | |||||||
\(864\) | 2.65470 | + | 4.46683i | 0.0903147 | + | 0.151965i | ||||
\(865\) | 34.0227 | − | 31.5684i | 1.15681 | − | 1.07336i | ||||
\(866\) | −2.44516 | − | 32.6284i | −0.0830900 | − | 1.10876i | ||||
\(867\) | 20.0526 | − | 4.14166i | 0.681023 | − | 0.140658i | ||||
\(868\) | −7.99717 | − | 0.585119i | −0.271442 | − | 0.0198602i | ||||
\(869\) | 5.09434 | − | 12.9802i | 0.172814 | − | 0.440322i | ||||
\(870\) | 25.0949 | − | 1.35836i | 0.850797 | − | 0.0460528i | ||||
\(871\) | 16.0168 | + | 20.0845i | 0.542710 | + | 0.680536i | ||||
\(872\) | 0.0605666 | + | 0.808205i | 0.00205104 | + | 0.0273693i | ||||
\(873\) | −1.13073 | − | 33.8896i | −0.0382693 | − | 1.14699i | ||||
\(874\) | −1.82565 | + | 0.879188i | −0.0617536 | + | 0.0297390i | ||||
\(875\) | 1.57887 | − | 2.32457i | 0.0533755 | − | 0.0785850i | ||||
\(876\) | 2.53697 | − | 3.56024i | 0.0857164 | − | 0.120289i | ||||
\(877\) | 12.3606 | − | 5.95254i | 0.417387 | − | 0.201003i | −0.213390 | − | 0.976967i | \(-0.568451\pi\) |
0.630777 | + | 0.775964i | \(0.282736\pi\) | |||||||
\(878\) | 17.9748 | + | 16.6782i | 0.606619 | + | 0.562860i | ||||
\(879\) | −1.45082 | + | 1.50004i | −0.0489350 | + | 0.0505949i | ||||
\(880\) | 6.54395 | − | 16.6737i | 0.220597 | − | 0.562071i | ||||
\(881\) | −30.3661 | −1.02306 | −0.511530 | − | 0.859266i | \(-0.670921\pi\) | ||||
−0.511530 | + | 0.859266i | \(0.670921\pi\) | |||||||
\(882\) | −11.1819 | + | 17.7754i | −0.376514 | + | 0.598529i | ||||
\(883\) | −37.4034 | −1.25872 | −0.629362 | − | 0.777112i | \(-0.716684\pi\) | ||||
−0.629362 | + | 0.777112i | \(0.716684\pi\) | |||||||
\(884\) | −2.08024 | + | 5.30038i | −0.0699662 | + | 0.178271i | ||||
\(885\) | 70.3744 | + | 17.6044i | 2.36561 | + | 0.591765i | ||||
\(886\) | −1.28429 | − | 1.19165i | −0.0431467 | − | 0.0400343i | ||||
\(887\) | −48.4260 | + | 23.3207i | −1.62599 | + | 0.783033i | −0.625991 | + | 0.779831i | \(0.715305\pi\) |
−0.999995 | + | 0.00320288i | \(0.998980\pi\) | |||||||
\(888\) | −1.64791 | − | 3.61152i | −0.0553003 | − | 0.121195i | ||||
\(889\) | −5.30370 | + | 35.6140i | −0.177880 | + | 1.19445i | ||||
\(890\) | −29.9780 | + | 14.4366i | −1.00486 | + | 0.483917i | ||||
\(891\) | 50.6635 | − | 11.1329i | 1.69729 | − | 0.372968i | ||||
\(892\) | 2.15273 | + | 28.7262i | 0.0720787 | + | 0.961824i | ||||
\(893\) | −0.980834 | − | 1.22993i | −0.0328224 | − | 0.0411580i | ||||
\(894\) | 7.30215 | + | 11.2022i | 0.244220 | + | 0.374657i | ||||
\(895\) | 5.70955 | − | 14.5477i | 0.190849 | − | 0.486276i | ||||
\(896\) | −0.398944 | − | 2.61550i | −0.0133278 | − | 0.0873777i | ||||
\(897\) | 7.21238 | − | 21.7697i | 0.240814 | − | 0.726869i | ||||
\(898\) | −0.947020 | − | 12.6371i | −0.0316025 | − | 0.421706i | ||||
\(899\) | 10.3727 | − | 9.62448i | 0.345950 | − | 0.320994i | ||||
\(900\) | 10.6293 | − | 9.07259i | 0.354308 | − | 0.302420i | ||||
\(901\) | −6.28843 | + | 10.8919i | −0.209498 | + | 0.362861i | ||||
\(902\) | 13.0426 | + | 4.02311i | 0.434271 | + | 0.133955i | ||||
\(903\) | −19.0978 | − | 34.5760i | −0.635534 | − | 1.15062i | ||||
\(904\) | 18.7526 | − | 5.78442i | 0.623703 | − | 0.192387i | ||||
\(905\) | −0.666276 | + | 2.91914i | −0.0221478 | + | 0.0970357i | ||||
\(906\) | −10.7471 | + | 32.4387i | −0.357047 | + | 1.07770i | ||||
\(907\) | 28.7112 | − | 36.0028i | 0.953341 | − | 1.19545i | −0.0272975 | − | 0.999627i | \(-0.508690\pi\) |
0.980639 | − | 0.195825i | \(-0.0627384\pi\) | |||||||
\(908\) | 7.57119 | + | 7.02503i | 0.251259 | + | 0.233134i | ||||
\(909\) | −30.3860 | + | 47.9273i | −1.00784 | + | 1.58965i | ||||
\(910\) | 16.1081 | + | 12.7994i | 0.533980 | + | 0.424295i | ||||
\(911\) | −0.596575 | − | 0.184019i | −0.0197654 | − | 0.00609683i | 0.284857 | − | 0.958570i | \(-0.408054\pi\) |
−0.304622 | + | 0.952473i | \(0.598530\pi\) | |||||||
\(912\) | −0.112424 | + | 0.653666i | −0.00372273 | + | 0.0216451i | ||||
\(913\) | −19.1223 | + | 33.1208i | −0.632855 | + | 1.09614i | ||||
\(914\) | 21.6464 | + | 6.67702i | 0.715999 | + | 0.220856i | ||||
\(915\) | 22.4512 | + | 2.15116i | 0.742212 | + | 0.0711151i | ||||
\(916\) | 7.75617 | + | 19.7624i | 0.256271 | + | 0.652968i | ||||
\(917\) | −26.5992 | − | 28.5659i | −0.878384 | − | 0.943329i | ||||
\(918\) | 4.18054 | − | 11.0606i | 0.137978 | − | 0.365053i | ||||
\(919\) | 11.5346 | + | 3.55796i | 0.380493 | + | 0.117366i | 0.479101 | − | 0.877760i | \(-0.340963\pi\) |
−0.0986082 | + | 0.995126i | \(0.531439\pi\) | |||||||
\(920\) | 10.2532 | + | 12.8572i | 0.338039 | + | 0.423888i | ||||
\(921\) | −13.8399 | + | 19.4220i | −0.456039 | + | 0.639978i | ||||
\(922\) | 22.5097 | − | 28.2262i | 0.741316 | − | 0.929581i | ||||
\(923\) | 6.42701 | + | 4.38186i | 0.211547 | + | 0.144231i | ||||
\(924\) | −26.0377 | − | 4.43094i | −0.856579 | − | 0.145767i | ||||
\(925\) | −8.82118 | + | 6.01418i | −0.290039 | + | 0.197745i | ||||
\(926\) | −0.742011 | + | 9.90145i | −0.0243840 | + | 0.325382i | ||||
\(927\) | −12.9972 | + | 20.5002i | −0.426883 | + | 0.673316i | ||||
\(928\) | 3.85760 | + | 2.63007i | 0.126632 | + | 0.0863361i | ||||
\(929\) | 3.59241 | − | 9.15331i | 0.117863 | − | 0.300310i | −0.859752 | − | 0.510712i | \(-0.829382\pi\) |
0.977615 | + | 0.210401i | \(0.0674771\pi\) | |||||||
\(930\) | 2.76521 | − | 16.0778i | 0.0906749 | − | 0.527212i | ||||
\(931\) | −2.55866 | + | 0.799139i | −0.0838566 | + | 0.0261907i | ||||
\(932\) | 14.4382 | + | 25.0077i | 0.472940 | + | 0.819156i | ||||
\(933\) | −0.691840 | + | 33.3794i | −0.0226498 | + | 1.09279i | ||||
\(934\) | 34.0328 | − | 16.3893i | 1.11359 | − | 0.536275i | ||||
\(935\) | −38.9491 | + | 12.0142i | −1.27377 | + | 0.392907i | ||||
\(936\) | −4.43311 | − | 6.05782i | −0.144901 | − | 0.198006i | ||||
\(937\) | 34.9184 | + | 16.8158i | 1.14074 | + | 0.549349i | 0.906238 | − | 0.422767i | \(-0.138941\pi\) |
0.234497 | + | 0.972117i | \(0.424656\pi\) | |||||||
\(938\) | 8.05211 | + | 25.9417i | 0.262911 | + | 0.847027i | ||||
\(939\) | 0.243541 | − | 0.251802i | 0.00794765 | − | 0.00821725i | ||||
\(940\) | −7.96011 | + | 9.98166i | −0.259630 | + | 0.325566i | ||||
\(941\) | −34.2211 | + | 23.3315i | −1.11558 | + | 0.760586i | −0.973367 | − | 0.229250i | \(-0.926373\pi\) |
−0.142208 | + | 0.989837i | \(0.545420\pi\) | |||||||
\(942\) | −6.91389 | + | 3.80293i | −0.225267 | + | 0.123906i | ||||
\(943\) | −9.18596 | + | 8.52333i | −0.299136 | + | 0.277558i | ||||
\(944\) | 8.40261 | + | 10.5365i | 0.273482 | + | 0.342935i | ||||
\(945\) | −33.7835 | − | 26.1549i | −1.09898 | − | 0.850820i | ||||
\(946\) | 30.9746 | − | 38.8410i | 1.00707 | − | 1.26283i | ||||
\(947\) | −3.36013 | − | 44.8378i | −0.109189 | − | 1.45703i | −0.735535 | − | 0.677486i | \(-0.763069\pi\) |
0.626346 | − | 0.779545i | \(-0.284550\pi\) | |||||||
\(948\) | 4.18429 | − | 0.226492i | 0.135899 | − | 0.00735610i | ||||
\(949\) | −3.15778 | + | 5.46943i | −0.102506 | + | 0.177545i | ||||
\(950\) | 1.78381 | 0.0578743 | ||||||||
\(951\) | 21.1364 | + | 32.4252i | 0.685394 | + | 1.05146i | ||||
\(952\) | −4.08726 | + | 4.42064i | −0.132469 | + | 0.143274i | ||||
\(953\) | −2.03910 | + | 8.93389i | −0.0660530 | + | 0.289397i | −0.997157 | − | 0.0753578i | \(-0.975990\pi\) |
0.931104 | + | 0.364755i | \(0.118847\pi\) | |||||||
\(954\) | −7.68823 | − | 14.6904i | −0.248916 | − | 0.475621i | ||||
\(955\) | −22.6245 | − | 3.41009i | −0.732111 | − | 0.110348i | ||||
\(956\) | −14.5265 | + | 18.2157i | −0.469822 | + | 0.589138i | ||||
\(957\) | 37.0343 | − | 28.2985i | 1.19715 | − | 0.914762i | ||||
\(958\) | −38.4901 | + | 11.8726i | −1.24356 | + | 0.383587i | ||||
\(959\) | 34.0783 | + | 36.5979i | 1.10044 | + | 1.18181i | ||||
\(960\) | 5.37495 | − | 0.290941i | 0.173476 | − | 0.00939007i | ||||
\(961\) | 10.9073 | + | 18.8921i | 0.351850 | + | 0.609422i | ||||
\(962\) | 2.86743 | + | 4.96654i | 0.0924497 | + | 0.160128i | ||||
\(963\) | −34.8808 | − | 25.9619i | −1.12402 | − | 0.836611i | ||||
\(964\) | 2.33221 | − | 1.59008i | 0.0751156 | − | 0.0512129i | ||||
\(965\) | −14.1461 | − | 36.0436i | −0.455379 | − | 1.16029i | ||||
\(966\) | 15.4756 | − | 18.6685i | 0.497921 | − | 0.600650i | ||||
\(967\) | 11.3203 | − | 28.8437i | 0.364037 | − | 0.927552i | −0.625098 | − | 0.780546i | \(-0.714941\pi\) |
0.989136 | − | 0.147006i | \(-0.0469637\pi\) | |||||||
\(968\) | −4.94418 | − | 21.6619i | −0.158912 | − | 0.696238i | ||||
\(969\) | 1.32246 | − | 0.727406i | 0.0424834 | − | 0.0233677i | ||||
\(970\) | −31.6479 | − | 15.2408i | −1.01615 | − | 0.489354i | ||||
\(971\) | −3.52266 | − | 8.97558i | −0.113047 | − | 0.288040i | 0.863142 | − | 0.504962i | \(-0.168494\pi\) |
−0.976189 | + | 0.216922i | \(0.930398\pi\) | |||||||
\(972\) | 9.36404 | + | 12.4625i | 0.300352 | + | 0.399736i | ||||
\(973\) | 7.87965 | + | 11.5136i | 0.252610 | + | 0.369110i | ||||
\(974\) | −27.4697 | + | 18.7285i | −0.880187 | + | 0.600101i | ||||
\(975\) | −14.0355 | + | 14.5116i | −0.449495 | + | 0.464743i | ||||
\(976\) | 3.07148 | + | 2.84992i | 0.0983158 | + | 0.0912237i | ||||
\(977\) | 2.70547 | − | 36.1020i | 0.0865556 | − | 1.15500i | −0.769684 | − | 0.638425i | \(-0.779586\pi\) |
0.856240 | − | 0.516579i | \(-0.172795\pi\) | |||||||
\(978\) | −36.8239 | + | 20.2547i | −1.17750 | + | 0.647673i | ||||
\(979\) | −30.8536 | + | 53.4401i | −0.986087 | + | 1.70795i | ||||
\(980\) | 10.9436 | + | 18.8014i | 0.349581 | + | 0.600588i | ||||
\(981\) | 0.442355 | + | 2.39084i | 0.0141233 | + | 0.0763335i | ||||
\(982\) | 24.0326 | − | 3.62234i | 0.766912 | − | 0.115593i | ||||
\(983\) | 24.6930 | − | 11.8915i | 0.787585 | − | 0.379281i | 0.00354694 | − | 0.999994i | \(-0.498871\pi\) |
0.784038 | + | 0.620713i | \(0.213157\pi\) | |||||||
\(984\) | 0.527154 | + | 4.06772i | 0.0168051 | + | 0.129674i | ||||
\(985\) | −63.2498 | + | 30.4595i | −2.01531 | + | 0.970520i | ||||
\(986\) | −0.793960 | − | 10.5947i | −0.0252848 | − | 0.337403i | ||||
\(987\) | 16.8034 | + | 8.48824i | 0.534859 | + | 0.270184i | ||||
\(988\) | 0.0716053 | − | 0.955507i | 0.00227807 | − | 0.0303987i | ||||
\(989\) | 16.6635 | + | 42.4578i | 0.529867 | + | 1.35008i | ||||
\(990\) | 14.1178 | − | 51.8480i | 0.448693 | − | 1.64784i | ||||
\(991\) | 14.7638 | − | 37.6177i | 0.468989 | − | 1.19496i | −0.479327 | − | 0.877637i | \(-0.659119\pi\) |
0.948316 | − | 0.317328i | \(-0.102786\pi\) | |||||||
\(992\) | 2.22168 | − | 2.06142i | 0.0705384 | − | 0.0654501i | ||||
\(993\) | −45.6845 | − | 27.6537i | −1.44975 | − | 0.877565i | ||||
\(994\) | 4.64521 | + | 6.78751i | 0.147337 | + | 0.215287i | ||||
\(995\) | −31.1470 | − | 4.69466i | −0.987426 | − | 0.148831i | ||||
\(996\) | −11.4407 | − | 1.09619i | −0.362513 | − | 0.0347342i | ||||
\(997\) | 4.23069 | + | 18.5359i | 0.133987 | + | 0.587037i | 0.996688 | + | 0.0813219i | \(0.0259142\pi\) |
−0.862701 | + | 0.505715i | \(0.831229\pi\) | |||||||
\(998\) | −18.3716 | − | 31.8206i | −0.581544 | − | 1.00726i | ||||
\(999\) | −6.08435 | − | 10.2376i | −0.192500 | − | 0.323904i |
(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 | 882.2.y.b.583.12 | ✓ | 336 | |
9.4 | even | 3 | 882.2.bb.a.877.1 | yes | 336 | ||
49.39 | even | 21 | 882.2.bb.a.529.1 | yes | 336 | ||
441.382 | even | 21 | inner | 882.2.y.b.823.12 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
882.2.y.b.583.12 | ✓ | 336 | 1.1 | even | 1 | trivial | |
882.2.y.b.823.12 | yes | 336 | 441.382 | even | 21 | inner | |
882.2.bb.a.529.1 | yes | 336 | 49.39 | even | 21 | ||
882.2.bb.a.877.1 | yes | 336 | 9.4 | even | 3 |