Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [418,2,Mod(5,418)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(418, base_ring=CyclotomicField(90))
chi = DirichletCharacter(H, H._module([36, 80]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("418.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 418 = 2 \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 418.u (of order \(45\), degree \(24\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.33774680449\) |
Analytic rank: | \(0\) |
Dimension: | \(264\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{45})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{45}]$ |
Embedding invariants
Embedding label | 251.5 | ||
Character | \(\chi\) | \(=\) | 418.251 |
Dual form | 418.2.u.b.5.5 |
$q$-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 \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.615661 | + | 0.788011i | −0.435338 | + | 0.557208i | ||||
\(3\) | −0.215741 | − | 0.208339i | −0.124558 | − | 0.120284i | 0.629771 | − | 0.776781i | \(-0.283149\pi\) |
−0.754329 | + | 0.656497i | \(0.772038\pi\) | |||||||
\(4\) | −0.241922 | − | 0.970296i | −0.120961 | − | 0.485148i | ||||
\(5\) | −0.160523 | − | 0.100306i | −0.0717881 | − | 0.0448582i | 0.493550 | − | 0.869717i | \(-0.335699\pi\) |
−0.565338 | + | 0.824859i | \(0.691254\pi\) | |||||||
\(6\) | 0.296996 | − | 0.0417401i | 0.121248 | − | 0.0170403i | ||||
\(7\) | −1.81207 | + | 0.806787i | −0.684899 | + | 0.304937i | −0.719528 | − | 0.694463i | \(-0.755642\pi\) |
0.0346288 | + | 0.999400i | \(0.488975\pi\) | |||||||
\(8\) | 0.913545 | + | 0.406737i | 0.322987 | + | 0.143803i | ||||
\(9\) | −0.101559 | − | 2.90828i | −0.0338531 | − | 0.969426i | ||||
\(10\) | 0.177870 | − | 0.0647394i | 0.0562474 | − | 0.0204724i | ||||
\(11\) | −2.25551 | + | 2.43160i | −0.680062 | + | 0.733155i | ||||
\(12\) | −0.149958 | + | 0.259734i | −0.0432890 | + | 0.0749788i | ||||
\(13\) | −2.74105 | − | 1.45744i | −0.760230 | − | 0.404222i | 0.0436240 | − | 0.999048i | \(-0.486110\pi\) |
−0.803854 | + | 0.594826i | \(0.797221\pi\) | |||||||
\(14\) | 0.479867 | − | 1.92464i | 0.128250 | − | 0.514382i | ||||
\(15\) | 0.0137338 | + | 0.0550832i | 0.00354605 | + | 0.0142224i | ||||
\(16\) | −0.882948 | + | 0.469472i | −0.220737 | + | 0.117368i | ||||
\(17\) | −0.0244707 | + | 0.700748i | −0.00593501 | + | 0.169956i | 0.992804 | + | 0.119751i | \(0.0382097\pi\) |
−0.998739 | + | 0.0502051i | \(0.984012\pi\) | |||||||
\(18\) | 2.35428 | + | 1.71048i | 0.554909 | + | 0.403165i | ||||
\(19\) | −4.35542 | + | 0.174113i | −0.999202 | + | 0.0399444i | ||||
\(20\) | −0.0584924 | + | 0.180021i | −0.0130793 | + | 0.0402539i | ||||
\(21\) | 0.559023 | + | 0.203468i | 0.121989 | + | 0.0444003i | ||||
\(22\) | −0.527495 | − | 3.27441i | −0.112462 | − | 0.698106i | ||||
\(23\) | 0.196066 | + | 0.164519i | 0.0408825 | + | 0.0343045i | 0.663000 | − | 0.748619i | \(-0.269283\pi\) |
−0.622117 | + | 0.782924i | \(0.713727\pi\) | |||||||
\(24\) | −0.112350 | − | 0.278077i | −0.0229334 | − | 0.0567621i | ||||
\(25\) | −2.17615 | − | 4.46177i | −0.435230 | − | 0.892353i | ||||
\(26\) | 2.83604 | − | 1.26269i | 0.556193 | − | 0.247633i | ||||
\(27\) | −1.18604 | + | 1.31723i | −0.228254 | + | 0.253502i | ||||
\(28\) | 1.22120 | + | 1.56307i | 0.230785 | + | 0.295392i | ||||
\(29\) | −8.18525 | − | 2.34708i | −1.51996 | − | 0.435842i | −0.591203 | − | 0.806523i | \(-0.701347\pi\) |
−0.928760 | + | 0.370681i | \(0.879124\pi\) | |||||||
\(30\) | −0.0518615 | − | 0.0230902i | −0.00946858 | − | 0.00421568i | ||||
\(31\) | 0.876837 | + | 0.973827i | 0.157485 | + | 0.174904i | 0.816724 | − | 0.577029i | \(-0.195788\pi\) |
−0.659239 | + | 0.751934i | \(0.729121\pi\) | |||||||
\(32\) | 0.173648 | − | 0.984808i | 0.0306970 | − | 0.174091i | ||||
\(33\) | 0.993202 | − | 0.0546856i | 0.172894 | − | 0.00951953i | ||||
\(34\) | −0.537132 | − | 0.450707i | −0.0921173 | − | 0.0772956i | ||||
\(35\) | 0.371805 | + | 0.0522538i | 0.0628465 | + | 0.00883250i | ||||
\(36\) | −2.79732 | + | 0.802119i | −0.466220 | + | 0.133686i | ||||
\(37\) | −1.02976 | − | 0.748166i | −0.169292 | − | 0.122998i | 0.499913 | − | 0.866075i | \(-0.333365\pi\) |
−0.669205 | + | 0.743078i | \(0.733365\pi\) | |||||||
\(38\) | 2.54426 | − | 3.53931i | 0.412734 | − | 0.574152i | ||||
\(39\) | 0.287715 | + | 0.885496i | 0.0460713 | + | 0.141793i | ||||
\(40\) | −0.105847 | − | 0.156925i | −0.0167359 | − | 0.0248120i | ||||
\(41\) | −1.49356 | − | 1.44231i | −0.233255 | − | 0.225252i | 0.568840 | − | 0.822448i | \(-0.307392\pi\) |
−0.802095 | + | 0.597196i | \(0.796281\pi\) | |||||||
\(42\) | −0.504504 | + | 0.315249i | −0.0778466 | + | 0.0486440i | ||||
\(43\) | −0.430035 | + | 0.360842i | −0.0655798 | + | 0.0550279i | −0.674988 | − | 0.737828i | \(-0.735851\pi\) |
0.609409 | + | 0.792856i | \(0.291407\pi\) | |||||||
\(44\) | 2.90503 | + | 1.60026i | 0.437949 | + | 0.241248i | ||||
\(45\) | −0.275415 | + | 0.477033i | −0.0410564 | + | 0.0711118i | ||||
\(46\) | −0.250353 | + | 0.0532141i | −0.0369125 | + | 0.00784599i | ||||
\(47\) | 4.83523 | − | 7.16853i | 0.705291 | − | 1.04564i | −0.290755 | − | 0.956798i | \(-0.593906\pi\) |
0.996046 | − | 0.0888398i | \(-0.0283159\pi\) | |||||||
\(48\) | 0.288297 | + | 0.0826678i | 0.0416121 | + | 0.0119321i | ||||
\(49\) | −2.05121 | + | 2.27810i | −0.293030 | + | 0.325443i | ||||
\(50\) | 4.85569 | + | 1.03211i | 0.686699 | + | 0.145962i | ||||
\(51\) | 0.151272 | − | 0.146082i | 0.0211824 | − | 0.0204556i | ||||
\(52\) | −0.751030 | + | 3.01221i | −0.104149 | + | 0.417719i | ||||
\(53\) | 6.32283 | − | 3.95094i | 0.868507 | − | 0.542704i | −0.0209196 | − | 0.999781i | \(-0.506659\pi\) |
0.889427 | + | 0.457078i | \(0.151104\pi\) | |||||||
\(54\) | −0.307794 | − | 1.74559i | −0.0418854 | − | 0.237544i | ||||
\(55\) | 0.605965 | − | 0.164087i | 0.0817083 | − | 0.0221254i | ||||
\(56\) | −1.98356 | −0.265064 | ||||||||
\(57\) | 0.975917 | + | 0.869839i | 0.129263 | + | 0.115213i | ||||
\(58\) | 6.88887 | − | 5.00506i | 0.904553 | − | 0.657196i | ||||
\(59\) | −2.40614 | − | 3.56726i | −0.313253 | − | 0.464417i | 0.639227 | − | 0.769018i | \(-0.279255\pi\) |
−0.952480 | + | 0.304601i | \(0.901477\pi\) | |||||||
\(60\) | 0.0501245 | − | 0.0266517i | 0.00647105 | − | 0.00344072i | ||||
\(61\) | −1.78117 | + | 4.40856i | −0.228056 | + | 0.564458i | −0.997213 | − | 0.0746011i | \(-0.976232\pi\) |
0.769158 | + | 0.639059i | \(0.220676\pi\) | |||||||
\(62\) | −1.30722 | + | 0.0914098i | −0.166017 | + | 0.0116091i | ||||
\(63\) | 2.53039 | + | 5.18808i | 0.318800 | + | 0.653636i | ||||
\(64\) | 0.669131 | + | 0.743145i | 0.0836413 | + | 0.0928931i | ||||
\(65\) | 0.293811 | + | 0.508896i | 0.0364428 | + | 0.0631208i | ||||
\(66\) | −0.568383 | + | 0.816322i | −0.0699632 | + | 0.100482i | ||||
\(67\) | −7.50231 | + | 2.73062i | −0.916553 | + | 0.333598i | −0.756866 | − | 0.653570i | \(-0.773271\pi\) |
−0.159687 | + | 0.987168i | \(0.551048\pi\) | |||||||
\(68\) | 0.685853 | − | 0.145783i | 0.0831719 | − | 0.0176787i | ||||
\(69\) | −0.00802381 | − | 0.0763415i | −0.000965953 | − | 0.00919043i | ||||
\(70\) | −0.270082 | + | 0.260816i | −0.0322810 | + | 0.0311734i | ||||
\(71\) | 11.9870 | + | 7.49029i | 1.42259 | + | 0.888934i | 0.999850 | − | 0.0173164i | \(-0.00551225\pi\) |
0.422742 | + | 0.906250i | \(0.361068\pi\) | |||||||
\(72\) | 1.09012 | − | 2.69815i | 0.128472 | − | 0.317980i | ||||
\(73\) | 0.166785 | − | 0.341959i | 0.0195207 | − | 0.0400233i | −0.888811 | − | 0.458274i | \(-0.848468\pi\) |
0.908332 | + | 0.418251i | \(0.137357\pi\) | |||||||
\(74\) | 1.22355 | − | 0.350847i | 0.142235 | − | 0.0407851i | ||||
\(75\) | −0.460074 | + | 1.41596i | −0.0531248 | + | 0.163501i | ||||
\(76\) | 1.22261 | + | 4.18392i | 0.140243 | + | 0.479929i | ||||
\(77\) | 2.12537 | − | 6.22595i | 0.242208 | − | 0.709513i | ||||
\(78\) | −0.874916 | − | 0.318443i | −0.0990647 | − | 0.0360566i | ||||
\(79\) | −3.75945 | − | 0.528356i | −0.422971 | − | 0.0594446i | −0.0755230 | − | 0.997144i | \(-0.524063\pi\) |
−0.347448 | + | 0.937699i | \(0.612952\pi\) | |||||||
\(80\) | 0.188824 | + | 0.0132039i | 0.0211112 | + | 0.00147624i | ||||
\(81\) | −8.17858 | + | 0.571902i | −0.908731 | + | 0.0635446i | ||||
\(82\) | 2.05609 | − | 0.288964i | 0.227057 | − | 0.0319108i | ||||
\(83\) | 13.5235 | + | 2.87451i | 1.48440 | + | 0.315519i | 0.877622 | − | 0.479353i | \(-0.159129\pi\) |
0.606777 | + | 0.794872i | \(0.292462\pi\) | |||||||
\(84\) | 0.0621840 | − | 0.591641i | 0.00678483 | − | 0.0645533i | ||||
\(85\) | 0.0742173 | − | 0.110032i | 0.00805000 | − | 0.0119346i | ||||
\(86\) | −0.0195916 | − | 0.561029i | −0.00211261 | − | 0.0604973i | ||||
\(87\) | 1.27691 | + | 2.21167i | 0.136899 | + | 0.237116i | ||||
\(88\) | −3.04953 | + | 1.30398i | −0.325081 | + | 0.139004i | ||||
\(89\) | −1.30973 | + | 7.42784i | −0.138831 | + | 0.787349i | 0.833284 | + | 0.552845i | \(0.186458\pi\) |
−0.972115 | + | 0.234504i | \(0.924653\pi\) | |||||||
\(90\) | −0.206344 | − | 0.510720i | −0.0217506 | − | 0.0538347i | ||||
\(91\) | 6.14283 | + | 0.429548i | 0.643943 | + | 0.0450289i | ||||
\(92\) | 0.112199 | − | 0.230042i | 0.0116976 | − | 0.0239836i | ||||
\(93\) | 0.0137160 | − | 0.392773i | 0.00142228 | − | 0.0407287i | ||||
\(94\) | 2.67201 | + | 8.22360i | 0.275597 | + | 0.848200i | ||||
\(95\) | 0.716610 | + | 0.408925i | 0.0735226 | + | 0.0419548i | ||||
\(96\) | −0.242637 | + | 0.176286i | −0.0247640 | + | 0.0179921i | ||||
\(97\) | −2.30385 | + | 2.94879i | −0.233921 | + | 0.299405i | −0.890621 | − | 0.454747i | \(-0.849730\pi\) |
0.656700 | + | 0.754152i | \(0.271952\pi\) | |||||||
\(98\) | −0.532316 | − | 3.01891i | −0.0537721 | − | 0.304956i | ||||
\(99\) | 7.30083 | + | 6.31270i | 0.733761 | + | 0.634450i | ||||
\(100\) | −3.80278 | + | 3.19091i | −0.380278 | + | 0.319091i | ||||
\(101\) | 4.57883 | + | 2.43460i | 0.455610 | + | 0.242252i | 0.681382 | − | 0.731928i | \(-0.261379\pi\) |
−0.225772 | + | 0.974180i | \(0.572490\pi\) | |||||||
\(102\) | 0.0219816 | + | 0.209141i | 0.00217651 | + | 0.0207081i | ||||
\(103\) | −0.279165 | + | 2.65608i | −0.0275070 | + | 0.261711i | 0.972122 | + | 0.234475i | \(0.0753372\pi\) |
−0.999629 | + | 0.0272360i | \(0.991329\pi\) | |||||||
\(104\) | −1.91128 | − | 2.44632i | −0.187416 | − | 0.239882i | ||||
\(105\) | −0.0693271 | − | 0.0887346i | −0.00676563 | − | 0.00865961i | ||||
\(106\) | −0.779337 | + | 7.41490i | −0.0756959 | + | 0.720199i | ||||
\(107\) | 1.43121 | + | 13.6171i | 0.138361 | + | 1.31641i | 0.814725 | + | 0.579847i | \(0.196888\pi\) |
−0.676365 | + | 0.736567i | \(0.736446\pi\) | |||||||
\(108\) | 1.56504 | + | 0.832145i | 0.150596 | + | 0.0800732i | ||||
\(109\) | −9.83619 | + | 8.25354i | −0.942136 | + | 0.790546i | −0.977956 | − | 0.208813i | \(-0.933040\pi\) |
0.0358199 | + | 0.999358i | \(0.488596\pi\) | |||||||
\(110\) | −0.243767 | + | 0.578529i | −0.0232423 | + | 0.0551605i | ||||
\(111\) | 0.0662900 | + | 0.375949i | 0.00629197 | + | 0.0356835i | ||||
\(112\) | 1.22120 | − | 1.56307i | 0.115393 | − | 0.147696i | ||||
\(113\) | 5.17143 | − | 3.75726i | 0.486487 | − | 0.353454i | −0.317345 | − | 0.948310i | \(-0.602791\pi\) |
0.803832 | + | 0.594857i | \(0.202791\pi\) | |||||||
\(114\) | −1.28628 | + | 0.233507i | −0.120471 | + | 0.0218699i | ||||
\(115\) | −0.0149709 | − | 0.0460756i | −0.00139604 | − | 0.00429657i | ||||
\(116\) | −0.297173 | + | 8.50993i | −0.0275918 | + | 0.790127i | ||||
\(117\) | −3.96027 | + | 8.11975i | −0.366127 | + | 0.750671i | ||||
\(118\) | 4.29241 | + | 0.300154i | 0.395148 | + | 0.0276314i | ||||
\(119\) | −0.521012 | − | 1.28955i | −0.0477611 | − | 0.118213i | ||||
\(120\) | −0.00985793 | + | 0.0559071i | −0.000899901 | + | 0.00510359i | ||||
\(121\) | −0.825346 | − | 10.9690i | −0.0750315 | − | 0.997181i | ||||
\(122\) | −2.37739 | − | 4.11776i | −0.215239 | − | 0.372805i | ||||
\(123\) | 0.0217323 | + | 0.622333i | 0.00195954 | + | 0.0561139i | ||||
\(124\) | 0.732774 | − | 1.08638i | 0.0658050 | − | 0.0975599i | ||||
\(125\) | −0.197148 | + | 1.87574i | −0.0176335 | + | 0.167771i | ||||
\(126\) | −5.64612 | − | 1.20012i | −0.502997 | − | 0.106915i | ||||
\(127\) | 5.36716 | − | 0.754305i | 0.476258 | − | 0.0669337i | 0.103040 | − | 0.994677i | \(-0.467143\pi\) |
0.373218 | + | 0.927743i | \(0.378254\pi\) | |||||||
\(128\) | −0.997564 | + | 0.0697565i | −0.0881730 | + | 0.00616566i | ||||
\(129\) | 0.167954 | + | 0.0117445i | 0.0147875 | + | 0.00103404i | ||||
\(130\) | −0.581904 | − | 0.0817813i | −0.0510364 | − | 0.00717269i | ||||
\(131\) | −12.6510 | − | 4.60458i | −1.10532 | − | 0.402304i | −0.276046 | − | 0.961144i | \(-0.589024\pi\) |
−0.829275 | + | 0.558840i | \(0.811247\pi\) | |||||||
\(132\) | −0.293338 | − | 0.950470i | −0.0255318 | − | 0.0827278i | ||||
\(133\) | 7.75187 | − | 3.82940i | 0.672172 | − | 0.332051i | ||||
\(134\) | 2.46713 | − | 7.59303i | 0.213127 | − | 0.655938i | ||||
\(135\) | 0.322514 | − | 0.0924793i | 0.0277576 | − | 0.00795935i | ||||
\(136\) | −0.307375 | + | 0.630212i | −0.0263572 | + | 0.0540403i | ||||
\(137\) | 3.41058 | − | 8.44148i | 0.291385 | − | 0.721204i | −0.708495 | − | 0.705716i | \(-0.750625\pi\) |
0.999880 | − | 0.0154880i | \(-0.00493017\pi\) | |||||||
\(138\) | 0.0650978 | + | 0.0406777i | 0.00554150 | + | 0.00346271i | ||||
\(139\) | 8.85886 | − | 8.55491i | 0.751399 | − | 0.725618i | −0.216686 | − | 0.976241i | \(-0.569525\pi\) |
0.968085 | + | 0.250624i | \(0.0806357\pi\) | |||||||
\(140\) | −0.0392461 | − | 0.373402i | −0.00331690 | − | 0.0315582i | ||||
\(141\) | −2.53664 | + | 0.539179i | −0.213624 | + | 0.0454071i | ||||
\(142\) | −13.2823 | + | 4.83438i | −1.11463 | + | 0.405692i | ||||
\(143\) | 9.72638 | − | 3.37786i | 0.813361 | − | 0.282471i | ||||
\(144\) | 1.45503 | + | 2.52018i | 0.121252 | + | 0.210015i | ||||
\(145\) | 1.07849 | + | 1.19779i | 0.0895641 | + | 0.0994710i | ||||
\(146\) | 0.166785 | + | 0.341959i | 0.0138032 | + | 0.0283008i | ||||
\(147\) | 0.917147 | − | 0.0641331i | 0.0756450 | − | 0.00528961i | ||||
\(148\) | −0.476820 | + | 1.18017i | −0.0391944 | + | 0.0970095i | ||||
\(149\) | 19.3455 | − | 10.2862i | 1.58484 | − | 0.842677i | 0.585353 | − | 0.810778i | \(-0.300956\pi\) |
0.999491 | − | 0.0318985i | \(-0.0101553\pi\) | |||||||
\(150\) | −0.832544 | − | 1.23430i | −0.0679769 | − | 0.100780i | ||||
\(151\) | −15.1844 | + | 11.0321i | −1.23569 | + | 0.897779i | −0.997303 | − | 0.0733920i | \(-0.976618\pi\) |
−0.238384 | + | 0.971171i | \(0.576618\pi\) | |||||||
\(152\) | −4.04969 | − | 1.61245i | −0.328473 | − | 0.130787i | ||||
\(153\) | 2.04046 | 0.164961 | ||||||||
\(154\) | 3.59761 | + | 5.50789i | 0.289904 | + | 0.443838i | ||||
\(155\) | −0.0430720 | − | 0.244274i | −0.00345963 | − | 0.0196205i | ||||
\(156\) | 0.789589 | − | 0.493390i | 0.0632177 | − | 0.0395028i | ||||
\(157\) | 5.07836 | − | 20.3682i | 0.405297 | − | 1.62556i | −0.327318 | − | 0.944914i | \(-0.606145\pi\) |
0.732615 | − | 0.680643i | \(-0.238300\pi\) | |||||||
\(158\) | 2.73090 | − | 2.63719i | 0.217258 | − | 0.209804i | ||||
\(159\) | −2.18723 | − | 0.464909i | −0.173458 | − | 0.0368697i | ||||
\(160\) | −0.126657 | + | 0.140666i | −0.0100131 | + | 0.0111207i | ||||
\(161\) | −0.488017 | − | 0.139937i | −0.0384611 | − | 0.0110285i | ||||
\(162\) | 4.58457 | − | 6.79690i | 0.360198 | − | 0.534015i | ||||
\(163\) | −16.1320 | + | 3.42897i | −1.26356 | + | 0.268578i | −0.790505 | − | 0.612455i | \(-0.790182\pi\) |
−0.473054 | + | 0.881033i | \(0.656849\pi\) | |||||||
\(164\) | −1.03815 | + | 1.79812i | −0.0810656 | + | 0.140410i | ||||
\(165\) | −0.164917 | − | 0.0908457i | −0.0128388 | − | 0.00707233i | ||||
\(166\) | −10.5911 | + | 8.88695i | −0.822025 | + | 0.689761i | ||||
\(167\) | 16.2835 | − | 10.1750i | 1.26005 | − | 0.787368i | 0.275305 | − | 0.961357i | \(-0.411221\pi\) |
0.984748 | + | 0.173989i | \(0.0556656\pi\) | |||||||
\(168\) | 0.427935 | + | 0.413252i | 0.0330159 | + | 0.0318831i | ||||
\(169\) | −1.88030 | − | 2.78765i | −0.144638 | − | 0.214435i | ||||
\(170\) | 0.0410134 | + | 0.126226i | 0.00314559 | + | 0.00968112i | ||||
\(171\) | 0.948704 | + | 12.6491i | 0.0725492 | + | 0.967300i | ||||
\(172\) | 0.454159 | + | 0.329966i | 0.0346293 | + | 0.0251596i | ||||
\(173\) | −10.5897 | + | 3.03655i | −0.805120 | + | 0.230864i | −0.652863 | − | 0.757476i | \(-0.726432\pi\) |
−0.152257 | + | 0.988341i | \(0.548654\pi\) | |||||||
\(174\) | −2.52896 | − | 0.355422i | −0.191720 | − | 0.0269445i | ||||
\(175\) | 7.54304 | + | 6.32936i | 0.570200 | + | 0.478455i | ||||
\(176\) | 0.849931 | − | 3.20587i | 0.0640660 | − | 0.241652i | ||||
\(177\) | −0.224093 | + | 1.27090i | −0.0168439 | + | 0.0955264i | ||||
\(178\) | −5.04687 | − | 5.60511i | −0.378279 | − | 0.420121i | ||||
\(179\) | −14.7683 | − | 6.57527i | −1.10383 | − | 0.491459i | −0.227800 | − | 0.973708i | \(-0.573153\pi\) |
−0.876034 | + | 0.482249i | \(0.839820\pi\) | |||||||
\(180\) | 0.529491 | + | 0.151829i | 0.0394660 | + | 0.0113167i | ||||
\(181\) | 2.27514 | + | 2.91205i | 0.169110 | + | 0.216451i | 0.865098 | − | 0.501602i | \(-0.167256\pi\) |
−0.695989 | + | 0.718053i | \(0.745034\pi\) | |||||||
\(182\) | −4.12039 | + | 4.57616i | −0.305424 | + | 0.339207i | ||||
\(183\) | 1.30275 | − | 0.580020i | 0.0963017 | − | 0.0428763i | ||||
\(184\) | 0.112199 | + | 0.230042i | 0.00827143 | + | 0.0169589i | ||||
\(185\) | 0.0902550 | + | 0.223389i | 0.00663568 | + | 0.0164239i | ||||
\(186\) | 0.301065 | + | 0.252624i | 0.0220752 | + | 0.0185233i | ||||
\(187\) | −1.64875 | − | 1.64005i | −0.120568 | − | 0.119932i | ||||
\(188\) | −8.12534 | − | 2.95738i | −0.592602 | − | 0.215689i | ||||
\(189\) | 1.08647 | − | 3.34381i | 0.0790290 | − | 0.243226i | ||||
\(190\) | −0.763426 | + | 0.312937i | −0.0553848 | + | 0.0227028i | ||||
\(191\) | −5.97042 | − | 4.33777i | −0.432005 | − | 0.313870i | 0.350445 | − | 0.936583i | \(-0.386030\pi\) |
−0.782450 | + | 0.622713i | \(0.786030\pi\) | |||||||
\(192\) | 0.0104669 | − | 0.299733i | 0.000755383 | − | 0.0216313i | ||||
\(193\) | −8.95376 | + | 4.76080i | −0.644506 | + | 0.342690i | −0.759339 | − | 0.650695i | \(-0.774478\pi\) |
0.114834 | + | 0.993385i | \(0.463367\pi\) | |||||||
\(194\) | −0.905289 | − | 3.63092i | −0.0649960 | − | 0.260685i | ||||
\(195\) | 0.0426356 | − | 0.171002i | 0.00305320 | − | 0.0122457i | ||||
\(196\) | 2.70666 | + | 1.43916i | 0.193333 | + | 0.102797i | ||||
\(197\) | 9.18177 | − | 15.9033i | 0.654174 | − | 1.13306i | −0.327926 | − | 0.944703i | \(-0.606350\pi\) |
0.982100 | − | 0.188360i | \(-0.0603170\pi\) | |||||||
\(198\) | −9.46932 | + | 1.86665i | −0.672955 | + | 0.132657i | ||||
\(199\) | −1.00582 | + | 0.366088i | −0.0713005 | + | 0.0259513i | −0.377424 | − | 0.926040i | \(-0.623190\pi\) |
0.306124 | + | 0.951992i | \(0.400968\pi\) | |||||||
\(200\) | −0.173247 | − | 4.96115i | −0.0122504 | − | 0.350806i | ||||
\(201\) | 2.18745 | + | 0.973915i | 0.154291 | + | 0.0686946i | ||||
\(202\) | −4.73750 | + | 2.10927i | −0.333329 | + | 0.148408i | ||||
\(203\) | 16.7259 | − | 2.35067i | 1.17393 | − | 0.164985i | ||||
\(204\) | −0.178339 | − | 0.111438i | −0.0124862 | − | 0.00780225i | ||||
\(205\) | 0.0950781 | + | 0.381338i | 0.00664055 | + | 0.0266338i | ||||
\(206\) | −1.92115 | − | 1.85523i | −0.133853 | − | 0.129260i | ||||
\(207\) | 0.458554 | − | 0.586922i | 0.0318717 | − | 0.0407939i | ||||
\(208\) | 3.10443 | 0.215253 | ||||||||
\(209\) | 9.40032 | − | 10.9833i | 0.650234 | − | 0.759734i | ||||
\(210\) | 0.112606 | 0.00777054 | ||||||||
\(211\) | −12.0247 | + | 15.3909i | −0.827813 | + | 1.05955i | 0.169445 | + | 0.985540i | \(0.445803\pi\) |
−0.997257 | + | 0.0740121i | \(0.976420\pi\) | |||||||
\(212\) | −5.36321 | − | 5.17919i | −0.368347 | − | 0.355708i | ||||
\(213\) | −1.02556 | − | 4.11331i | −0.0702705 | − | 0.281839i | ||||
\(214\) | −11.6116 | − | 7.25571i | −0.793750 | − | 0.495990i | ||||
\(215\) | 0.105225 | − | 0.0147884i | 0.00717630 | − | 0.00100856i | ||||
\(216\) | −1.61927 | + | 0.720947i | −0.110178 | + | 0.0490542i | ||||
\(217\) | −2.37456 | − | 1.05722i | −0.161196 | − | 0.0717690i | ||||
\(218\) | −0.448118 | − | 12.8324i | −0.0303503 | − | 0.869120i | ||||
\(219\) | −0.107226 | + | 0.0390270i | −0.00724564 | + | 0.00263720i | ||||
\(220\) | −0.305809 | − | 0.548269i | −0.0206176 | − | 0.0369643i | ||||
\(221\) | 1.08838 | − | 1.88512i | 0.0732120 | − | 0.126807i | ||||
\(222\) | −0.337064 | − | 0.179220i | −0.0226223 | − | 0.0120285i | ||||
\(223\) | 4.54580 | − | 18.2322i | 0.304409 | − | 1.22092i | −0.601992 | − | 0.798502i | \(-0.705626\pi\) |
0.906401 | − | 0.422417i | \(-0.138818\pi\) | |||||||
\(224\) | 0.479867 | + | 1.92464i | 0.0320624 | + | 0.128595i | ||||
\(225\) | −12.7551 | + | 6.78198i | −0.850337 | + | 0.452132i | ||||
\(226\) | −0.223086 | + | 6.38834i | −0.0148395 | + | 0.424946i | ||||
\(227\) | 1.63721 | + | 1.18950i | 0.108665 | + | 0.0789499i | 0.640791 | − | 0.767716i | \(-0.278607\pi\) |
−0.532126 | + | 0.846665i | \(0.678607\pi\) | |||||||
\(228\) | 0.607905 | − | 1.15736i | 0.0402595 | − | 0.0766481i | ||||
\(229\) | 8.71046 | − | 26.8080i | 0.575604 | − | 1.77153i | −0.0585115 | − | 0.998287i | \(-0.518635\pi\) |
0.634115 | − | 0.773239i | \(-0.281365\pi\) | |||||||
\(230\) | 0.0455250 | + | 0.0165698i | 0.00300183 | + | 0.00109258i | ||||
\(231\) | −1.75563 | + | 0.900397i | −0.115512 | + | 0.0592417i | ||||
\(232\) | −6.52295 | − | 5.47341i | −0.428253 | − | 0.359347i | ||||
\(233\) | −1.30604 | − | 3.23257i | −0.0855617 | − | 0.211773i | 0.878337 | − | 0.478042i | \(-0.158653\pi\) |
−0.963899 | + | 0.266269i | \(0.914209\pi\) | |||||||
\(234\) | −3.96027 | − | 8.11975i | −0.258891 | − | 0.530805i | ||||
\(235\) | −1.49521 | + | 0.665711i | −0.0975369 | + | 0.0434262i | ||||
\(236\) | −2.87919 | + | 3.19767i | −0.187420 | + | 0.208151i | ||||
\(237\) | 0.700989 | + | 0.897226i | 0.0455342 | + | 0.0582811i | ||||
\(238\) | 1.33695 | + | 0.383363i | 0.0866614 | + | 0.0248497i | ||||
\(239\) | −4.50058 | − | 2.00379i | −0.291118 | − | 0.129614i | 0.255981 | − | 0.966682i | \(-0.417601\pi\) |
−0.547100 | + | 0.837067i | \(0.684268\pi\) | |||||||
\(240\) | −0.0379862 | − | 0.0421880i | −0.00245200 | − | 0.00272322i | ||||
\(241\) | 3.82287 | − | 21.6806i | 0.246253 | − | 1.39657i | −0.571313 | − | 0.820732i | \(-0.693566\pi\) |
0.817566 | − | 0.575835i | \(-0.195323\pi\) | |||||||
\(242\) | 9.15182 | + | 6.10280i | 0.588301 | + | 0.392303i | ||||
\(243\) | 5.95708 | + | 4.99858i | 0.382147 | + | 0.320659i | ||||
\(244\) | 4.70851 | + | 0.661738i | 0.301431 | + | 0.0423634i | ||||
\(245\) | 0.557773 | − | 0.159939i | 0.0356348 | − | 0.0102181i | ||||
\(246\) | −0.503785 | − | 0.366021i | −0.0321201 | − | 0.0233366i | ||||
\(247\) | 12.1922 | + | 5.87052i | 0.775770 | + | 0.373532i | ||||
\(248\) | 0.404940 | + | 1.24628i | 0.0257137 | + | 0.0791387i | ||||
\(249\) | −2.31870 | − | 3.43762i | −0.146942 | − | 0.217850i | ||||
\(250\) | −1.35673 | − | 1.31017i | −0.0858069 | − | 0.0828627i | ||||
\(251\) | −16.9226 | + | 10.5744i | −1.06815 | + | 0.667452i | −0.945706 | − | 0.325024i | \(-0.894628\pi\) |
−0.122440 | + | 0.992476i | \(0.539072\pi\) | |||||||
\(252\) | 4.42181 | − | 3.71034i | 0.278548 | − | 0.233729i | ||||
\(253\) | −0.842271 | + | 0.105680i | −0.0529532 | + | 0.00664402i | ||||
\(254\) | −2.70995 | + | 4.69378i | −0.170038 | + | 0.294514i | ||||
\(255\) | −0.0389356 | + | 0.00827601i | −0.00243824 | + | 0.000518264i | ||||
\(256\) | 0.559193 | − | 0.829038i | 0.0349496 | − | 0.0518148i | ||||
\(257\) | −30.6836 | − | 8.79838i | −1.91399 | − | 0.548828i | −0.982937 | − | 0.183945i | \(-0.941113\pi\) |
−0.931053 | − | 0.364883i | \(-0.881109\pi\) | |||||||
\(258\) | −0.112657 | + | 0.125119i | −0.00701374 | + | 0.00778955i | ||||
\(259\) | 2.46961 | + | 0.524933i | 0.153454 | + | 0.0326177i | ||||
\(260\) | 0.422700 | − | 0.408197i | 0.0262148 | − | 0.0253153i | ||||
\(261\) | −5.99468 | + | 24.0434i | −0.371062 | + | 1.48825i | ||||
\(262\) | 11.4172 | − | 7.13425i | 0.705356 | − | 0.440755i | ||||
\(263\) | 0.580192 | + | 3.29043i | 0.0357762 | + | 0.202897i | 0.997457 | − | 0.0712760i | \(-0.0227071\pi\) |
−0.961680 | + | 0.274173i | \(0.911596\pi\) | |||||||
\(264\) | 0.929578 | + | 0.354014i | 0.0572116 | + | 0.0217880i | ||||
\(265\) | −1.41126 | −0.0866931 | ||||||||
\(266\) | −1.75492 | + | 8.46617i | −0.107601 | + | 0.519094i | ||||
\(267\) | 1.83007 | − | 1.32962i | 0.111998 | − | 0.0813716i | ||||
\(268\) | 4.46448 | + | 6.61886i | 0.272711 | + | 0.404311i | ||||
\(269\) | −18.6987 | + | 9.94228i | −1.14008 | + | 0.606192i | −0.928560 | − | 0.371182i | \(-0.878953\pi\) |
−0.211521 | + | 0.977374i | \(0.567842\pi\) | |||||||
\(270\) | −0.125685 | + | 0.311080i | −0.00764892 | + | 0.0189317i | ||||
\(271\) | −10.2299 | + | 0.715346i | −0.621423 | + | 0.0434541i | −0.376998 | − | 0.926214i | \(-0.623044\pi\) |
−0.244425 | + | 0.969668i | \(0.578599\pi\) | |||||||
\(272\) | −0.307375 | − | 0.630212i | −0.0186374 | − | 0.0382122i | ||||
\(273\) | −1.23577 | − | 1.37246i | −0.0747921 | − | 0.0830650i | ||||
\(274\) | 4.55221 | + | 7.88467i | 0.275009 | + | 0.476330i | ||||
\(275\) | 15.7576 | + | 4.77204i | 0.950216 | + | 0.287765i | ||||
\(276\) | −0.0721327 | + | 0.0262541i | −0.00434188 | + | 0.00158031i | ||||
\(277\) | −12.6862 | + | 2.69653i | −0.762238 | + | 0.162019i | −0.572599 | − | 0.819835i | \(-0.694065\pi\) |
−0.189639 | + | 0.981854i | \(0.560732\pi\) | |||||||
\(278\) | 1.28730 | + | 12.2478i | 0.0772069 | + | 0.734575i | ||||
\(279\) | 2.74311 | − | 2.64899i | 0.164226 | − | 0.158591i | ||||
\(280\) | 0.318407 | + | 0.198963i | 0.0190285 | + | 0.0118903i | ||||
\(281\) | 0.356294 | − | 0.881860i | 0.0212547 | − | 0.0526073i | −0.916183 | − | 0.400759i | \(-0.868746\pi\) |
0.937438 | + | 0.348152i | \(0.113191\pi\) | |||||||
\(282\) | 1.13683 | − | 2.33085i | 0.0676974 | − | 0.138800i | ||||
\(283\) | −7.99109 | + | 2.29141i | −0.475021 | + | 0.136210i | −0.504602 | − | 0.863352i | \(-0.668361\pi\) |
0.0295804 | + | 0.999562i | \(0.490583\pi\) | |||||||
\(284\) | 4.36789 | − | 13.4430i | 0.259186 | − | 0.797694i | ||||
\(285\) | −0.0694072 | − | 0.237519i | −0.00411133 | − | 0.0140694i | ||||
\(286\) | −3.32637 | + | 9.74411i | −0.196692 | + | 0.576181i | ||||
\(287\) | 3.87008 | + | 1.40859i | 0.228444 | + | 0.0831467i | ||||
\(288\) | −2.88173 | − | 0.405001i | −0.169808 | − | 0.0238649i | ||||
\(289\) | 16.4681 | + | 1.15156i | 0.968714 | + | 0.0677391i | ||||
\(290\) | −1.60786 | + | 0.112432i | −0.0944167 | + | 0.00660226i | ||||
\(291\) | 1.11138 | − | 0.156195i | 0.0651504 | − | 0.00915629i | ||||
\(292\) | −0.372151 | − | 0.0791031i | −0.0217785 | − | 0.00462916i | ||||
\(293\) | −0.718104 | + | 6.83230i | −0.0419521 | + | 0.399147i | 0.953316 | + | 0.301976i | \(0.0976462\pi\) |
−0.995268 | + | 0.0971715i | \(0.969020\pi\) | |||||||
\(294\) | −0.514114 | + | 0.762206i | −0.0299838 | + | 0.0444527i | ||||
\(295\) | 0.0284247 | + | 0.813977i | 0.00165495 | + | 0.0473916i | ||||
\(296\) | −0.636428 | − | 1.10233i | −0.0369916 | − | 0.0640714i | ||||
\(297\) | −0.527853 | − | 5.85502i | −0.0306292 | − | 0.339743i | ||||
\(298\) | −3.80465 | + | 21.5773i | −0.220398 | + | 1.24994i | ||||
\(299\) | −0.297649 | − | 0.736708i | −0.0172135 | − | 0.0426049i | ||||
\(300\) | 1.48520 | + | 0.103856i | 0.0857483 | + | 0.00599610i | ||||
\(301\) | 0.488132 | − | 1.00082i | 0.0281355 | − | 0.0576863i | ||||
\(302\) | 0.655026 | − | 18.7575i | 0.0376925 | − | 1.07937i | ||||
\(303\) | −0.480618 | − | 1.47919i | −0.0276108 | − | 0.0849773i | ||||
\(304\) | 3.76387 | − | 2.19848i | 0.215873 | − | 0.126091i | ||||
\(305\) | 0.728124 | − | 0.529013i | 0.0416922 | − | 0.0302912i | ||||
\(306\) | −1.25623 | + | 1.60790i | −0.0718139 | + | 0.0919176i | ||||
\(307\) | 2.69921 | + | 15.3080i | 0.154052 | + | 0.873672i | 0.959647 | + | 0.281206i | \(0.0907344\pi\) |
−0.805596 | + | 0.592466i | \(0.798154\pi\) | |||||||
\(308\) | −6.55519 | − | 0.556041i | −0.373516 | − | 0.0316834i | ||||
\(309\) | 0.613592 | − | 0.514864i | 0.0349060 | − | 0.0292896i | ||||
\(310\) | 0.219008 | + | 0.116449i | 0.0124388 | + | 0.00661384i | ||||
\(311\) | 1.29934 | + | 12.3624i | 0.0736790 | + | 0.701009i | 0.967549 | + | 0.252683i | \(0.0813129\pi\) |
−0.893870 | + | 0.448326i | \(0.852020\pi\) | |||||||
\(312\) | −0.0973229 | + | 0.925965i | −0.00550982 | + | 0.0524225i | ||||
\(313\) | −1.35046 | − | 1.72851i | −0.0763324 | − | 0.0977010i | 0.748329 | − | 0.663328i | \(-0.230857\pi\) |
−0.824661 | + | 0.565627i | \(0.808634\pi\) | |||||||
\(314\) | 12.9238 | + | 16.5417i | 0.729332 | + | 0.933502i | ||||
\(315\) | 0.114208 | − | 1.08662i | 0.00643491 | − | 0.0612240i | ||||
\(316\) | 0.396831 | + | 3.77559i | 0.0223235 | + | 0.212394i | ||||
\(317\) | 12.2451 | + | 6.51082i | 0.687752 | + | 0.365684i | 0.776279 | − | 0.630390i | \(-0.217105\pi\) |
−0.0885270 | + | 0.996074i | \(0.528216\pi\) | |||||||
\(318\) | 1.71294 | − | 1.43733i | 0.0960572 | − | 0.0806015i | ||||
\(319\) | 24.1691 | − | 14.6094i | 1.35321 | − | 0.817968i | ||||
\(320\) | −0.0328690 | − | 0.186410i | −0.00183744 | − | 0.0104206i | ||||
\(321\) | 2.52820 | − | 3.23594i | 0.141110 | − | 0.180613i | ||||
\(322\) | 0.410725 | − | 0.298409i | 0.0228888 | − | 0.0166297i | ||||
\(323\) | −0.0154296 | − | 3.05631i | −0.000858527 | − | 0.170058i | ||||
\(324\) | 2.53349 | + | 7.79728i | 0.140749 | + | 0.433182i | ||||
\(325\) | −0.537833 | + | 15.4015i | −0.0298336 | + | 0.854323i | ||||
\(326\) | 7.22981 | − | 14.8233i | 0.400422 | − | 0.820987i | ||||
\(327\) | 3.84160 | + | 0.268631i | 0.212441 | + | 0.0148553i | ||||
\(328\) | −0.777793 | − | 1.92511i | −0.0429464 | − | 0.106296i | ||||
\(329\) | −2.97832 | + | 16.8909i | −0.164200 | + | 0.931226i | ||||
\(330\) | 0.173120 | − | 0.0740262i | 0.00952997 | − | 0.00407501i | ||||
\(331\) | −3.17272 | − | 5.49530i | −0.174388 | − | 0.302049i | 0.765561 | − | 0.643363i | \(-0.222461\pi\) |
−0.939949 | + | 0.341314i | \(0.889128\pi\) | |||||||
\(332\) | −0.482508 | − | 13.8172i | −0.0264811 | − | 0.758318i | ||||
\(333\) | −2.07129 | + | 3.07082i | −0.113506 | + | 0.168280i | ||||
\(334\) | −2.00706 | + | 19.0959i | −0.109822 | + | 1.04488i | ||||
\(335\) | 1.47819 | + | 0.314199i | 0.0807621 | + | 0.0171665i | ||||
\(336\) | −0.589111 | + | 0.0827941i | −0.0321386 | + | 0.00451679i | ||||
\(337\) | 18.1796 | − | 1.27124i | 0.990308 | − | 0.0692491i | 0.434597 | − | 0.900625i | \(-0.356891\pi\) |
0.555711 | + | 0.831376i | \(0.312446\pi\) | |||||||
\(338\) | 3.35432 | + | 0.234557i | 0.182451 | + | 0.0127582i | ||||
\(339\) | −1.89847 | − | 0.266813i | −0.103111 | − | 0.0144913i | ||||
\(340\) | −0.124718 | − | 0.0453937i | −0.00676379 | − | 0.00246182i | ||||
\(341\) | −4.34567 | − | 0.0643591i | −0.235331 | − | 0.00348524i | ||||
\(342\) | −10.5517 | − | 7.03997i | −0.570571 | − | 0.380678i | ||||
\(343\) | 6.16968 | − | 18.9883i | 0.333131 | − | 1.02527i | ||||
\(344\) | −0.539625 | + | 0.154735i | −0.0290946 | + | 0.00834274i | ||||
\(345\) | −0.00636949 | + | 0.0130594i | −0.000342922 | + | 0.000703094i | ||||
\(346\) | 4.12684 | − | 10.2143i | 0.221860 | − | 0.549123i | ||||
\(347\) | −22.1482 | − | 13.8397i | −1.18898 | − | 0.742956i | −0.216576 | − | 0.976266i | \(-0.569489\pi\) |
−0.972402 | + | 0.233310i | \(0.925044\pi\) | |||||||
\(348\) | 1.83706 | − | 1.77403i | 0.0984767 | − | 0.0950978i | ||||
\(349\) | 1.83736 | + | 17.4813i | 0.0983516 | + | 0.935753i | 0.926766 | + | 0.375638i | \(0.122576\pi\) |
−0.828415 | + | 0.560115i | \(0.810757\pi\) | |||||||
\(350\) | −9.63156 | + | 2.04725i | −0.514829 | + | 0.109430i | ||||
\(351\) | 5.17080 | − | 1.88202i | 0.275997 | − | 0.100455i | ||||
\(352\) | 2.00299 | + | 2.64349i | 0.106760 | + | 0.140898i | ||||
\(353\) | −1.40856 | − | 2.43969i | −0.0749699 | − | 0.129852i | 0.826103 | − | 0.563519i | \(-0.190553\pi\) |
−0.901073 | + | 0.433667i | \(0.857219\pi\) | |||||||
\(354\) | −0.863514 | − | 0.959030i | −0.0458953 | − | 0.0509719i | ||||
\(355\) | −1.17286 | − | 2.40473i | −0.0622492 | − | 0.127630i | ||||
\(356\) | 7.52405 | − | 0.526133i | 0.398774 | − | 0.0278850i | ||||
\(357\) | −0.156259 | + | 0.386756i | −0.00827013 | + | 0.0204693i | ||||
\(358\) | 14.2737 | − | 7.58944i | 0.754386 | − | 0.401114i | ||||
\(359\) | 1.41152 | + | 2.09266i | 0.0744971 | + | 0.110447i | 0.864445 | − | 0.502728i | \(-0.167670\pi\) |
−0.789948 | + | 0.613174i | \(0.789892\pi\) | |||||||
\(360\) | −0.445631 | + | 0.323770i | −0.0234868 | + | 0.0170642i | ||||
\(361\) | 18.9394 | − | 1.51667i | 0.996809 | − | 0.0798249i | ||||
\(362\) | −3.69544 | −0.194228 | ||||||||
\(363\) | −2.10720 | + | 2.53841i | −0.110600 | + | 0.133232i | ||||
\(364\) | −1.06930 | − | 6.06427i | −0.0560463 | − | 0.317854i | ||||
\(365\) | −0.0610733 | + | 0.0381629i | −0.00319672 | + | 0.00199754i | ||||
\(366\) | −0.344988 | + | 1.38367i | −0.0180328 | + | 0.0723257i | ||||
\(367\) | −6.65392 | + | 6.42561i | −0.347332 | + | 0.335414i | −0.847776 | − | 0.530354i | \(-0.822059\pi\) |
0.500444 | + | 0.865769i | \(0.333170\pi\) | |||||||
\(368\) | −0.250353 | − | 0.0532141i | −0.0130505 | − | 0.00277398i | ||||
\(369\) | −4.04297 | + | 4.49017i | −0.210468 | + | 0.233749i | ||||
\(370\) | −0.231599 | − | 0.0664101i | −0.0120403 | − | 0.00345250i | ||||
\(371\) | −8.26986 | + | 12.2606i | −0.429350 | + | 0.636537i | ||||
\(372\) | −0.384425 | + | 0.0817120i | −0.0199315 | + | 0.00423657i | ||||
\(373\) | −8.10742 | + | 14.0425i | −0.419786 | + | 0.727091i | −0.995918 | − | 0.0902658i | \(-0.971228\pi\) |
0.576131 | + | 0.817357i | \(0.304562\pi\) | |||||||
\(374\) | 2.30744 | − | 0.289514i | 0.119315 | − | 0.0149704i | ||||
\(375\) | 0.433322 | − | 0.363600i | 0.0223766 | − | 0.0187762i | ||||
\(376\) | 7.33291 | − | 4.58211i | 0.378166 | − | 0.236304i | ||||
\(377\) | 19.0154 | + | 18.3630i | 0.979345 | + | 0.945742i | ||||
\(378\) | 1.96606 | + | 2.91480i | 0.101123 | + | 0.149921i | ||||
\(379\) | 5.07678 | + | 15.6247i | 0.260777 | + | 0.802588i | 0.992636 | + | 0.121133i | \(0.0386526\pi\) |
−0.731860 | + | 0.681455i | \(0.761347\pi\) | |||||||
\(380\) | 0.223415 | − | 0.794251i | 0.0114609 | − | 0.0407442i | ||||
\(381\) | −1.31507 | − | 0.955452i | −0.0673729 | − | 0.0489493i | ||||
\(382\) | 7.09397 | − | 2.03416i | 0.362959 | − | 0.104077i | ||||
\(383\) | −2.95858 | − | 0.415802i | −0.151177 | − | 0.0212465i | 0.0631788 | − | 0.998002i | \(-0.479876\pi\) |
−0.214355 | + | 0.976756i | \(0.568765\pi\) | |||||||
\(384\) | 0.229748 | + | 0.192782i | 0.0117243 | + | 0.00983786i | ||||
\(385\) | −0.965670 | + | 0.786221i | −0.0492151 | + | 0.0400696i | ||||
\(386\) | 1.76092 | − | 9.98670i | 0.0896287 | − | 0.508309i | ||||
\(387\) | 1.09310 | + | 1.21402i | 0.0555656 | + | 0.0617119i | ||||
\(388\) | 3.41855 | + | 1.52204i | 0.173551 | + | 0.0772698i | ||||
\(389\) | −19.6789 | − | 5.64283i | −0.997760 | − | 0.286103i | −0.263269 | − | 0.964722i | \(-0.584801\pi\) |
−0.734490 | + | 0.678619i | \(0.762579\pi\) | |||||||
\(390\) | 0.108502 | + | 0.138877i | 0.00549423 | + | 0.00703229i | ||||
\(391\) | −0.120084 | + | 0.133367i | −0.00607291 | + | 0.00674465i | ||||
\(392\) | −2.80046 | + | 1.24685i | −0.141445 | + | 0.0629752i | ||||
\(393\) | 1.77002 | + | 3.62909i | 0.0892859 | + | 0.183063i | ||||
\(394\) | 6.87910 | + | 17.0264i | 0.346564 | + | 0.857777i | ||||
\(395\) | 0.550480 | + | 0.461908i | 0.0276977 | + | 0.0232411i | ||||
\(396\) | 4.35895 | − | 8.61115i | 0.219046 | − | 0.432726i | ||||
\(397\) | 10.3522 | + | 3.76788i | 0.519561 | + | 0.189105i | 0.588471 | − | 0.808518i | \(-0.299730\pi\) |
−0.0689104 | + | 0.997623i | \(0.521952\pi\) | |||||||
\(398\) | 0.330762 | − | 1.01798i | 0.0165796 | − | 0.0510268i | ||||
\(399\) | −2.47021 | − | 0.788854i | −0.123665 | − | 0.0394921i | ||||
\(400\) | 4.01610 | + | 2.91787i | 0.200805 | + | 0.145893i | ||||
\(401\) | −1.16944 | + | 33.4884i | −0.0583991 | + | 1.67233i | 0.518165 | + | 0.855281i | \(0.326615\pi\) |
−0.576564 | + | 0.817052i | \(0.695607\pi\) | |||||||
\(402\) | −2.11418 | + | 1.12413i | −0.105446 | + | 0.0560666i | ||||
\(403\) | −0.984159 | − | 3.94725i | −0.0490244 | − | 0.196626i | ||||
\(404\) | 1.25457 | − | 5.03180i | 0.0624171 | − | 0.250341i | ||||
\(405\) | 1.37021 | + | 0.728556i | 0.0680865 | + | 0.0362022i | ||||
\(406\) | −8.44512 | + | 14.6274i | −0.419124 | + | 0.725945i | ||||
\(407\) | 4.14188 | − | 0.816472i | 0.205305 | − | 0.0404710i | ||||
\(408\) | 0.197611 | − | 0.0719245i | 0.00978320 | − | 0.00356079i | ||||
\(409\) | −0.0255918 | − | 0.732853i | −0.00126543 | − | 0.0362373i | 0.998594 | − | 0.0530124i | \(-0.0168823\pi\) |
−0.999859 | + | 0.0167751i | \(0.994660\pi\) | |||||||
\(410\) | −0.359034 | − | 0.159852i | −0.0177314 | − | 0.00789454i | ||||
\(411\) | −2.49449 | + | 1.11062i | −0.123044 | + | 0.0547827i | ||||
\(412\) | 2.64472 | − | 0.371691i | 0.130296 | − | 0.0183119i | ||||
\(413\) | 7.23812 | + | 4.52288i | 0.356165 | + | 0.222556i | ||||
\(414\) | 0.180187 | + | 0.722690i | 0.00885571 | + | 0.0355183i | ||||
\(415\) | −1.88250 | − | 1.81791i | −0.0924085 | − | 0.0892379i | ||||
\(416\) | −1.91128 | + | 2.44632i | −0.0937081 | + | 0.119941i | ||||
\(417\) | −3.69354 | −0.180873 | ||||||||
\(418\) | 2.86758 | + | 14.1696i | 0.140258 | + | 0.693057i | ||||
\(419\) | 5.95186 | 0.290767 | 0.145384 | − | 0.989375i | \(-0.453558\pi\) | ||||
0.145384 | + | 0.989375i | \(0.453558\pi\) | |||||||
\(420\) | −0.0693271 | + | 0.0887346i | −0.00338281 | + | 0.00432980i | ||||
\(421\) | −10.3875 | − | 10.0311i | −0.506257 | − | 0.488887i | 0.397100 | − | 0.917775i | \(-0.370016\pi\) |
−0.903357 | + | 0.428888i | \(0.858905\pi\) | |||||||
\(422\) | −4.72505 | − | 18.9511i | −0.230012 | − | 0.922527i | ||||
\(423\) | −21.3391 | − | 13.3342i | −1.03754 | − | 0.648330i | ||||
\(424\) | 7.38318 | − | 1.03764i | 0.358559 | − | 0.0503922i | ||||
\(425\) | 3.17983 | − | 1.41575i | 0.154244 | − | 0.0686740i | ||||
\(426\) | 3.87273 | + | 1.72425i | 0.187635 | + | 0.0835403i | ||||
\(427\) | −0.329151 | − | 9.42566i | −0.0159287 | − | 0.456140i | ||||
\(428\) | 12.8664 | − | 4.68297i | 0.621919 | − | 0.226360i | ||||
\(429\) | −2.80212 | − | 1.29764i | −0.135287 | − | 0.0626506i | ||||
\(430\) | −0.0531296 | + | 0.0920232i | −0.00256214 | + | 0.00443775i | ||||
\(431\) | −6.03478 | − | 3.20875i | −0.290685 | − | 0.154560i | 0.317725 | − | 0.948183i | \(-0.397081\pi\) |
−0.608410 | + | 0.793623i | \(0.708192\pi\) | |||||||
\(432\) | 0.428810 | − | 1.71986i | 0.0206311 | − | 0.0827470i | ||||
\(433\) | −3.41088 | − | 13.6803i | −0.163917 | − | 0.657433i | −0.994876 | − | 0.101101i | \(-0.967764\pi\) |
0.830960 | − | 0.556333i | \(-0.187792\pi\) | |||||||
\(434\) | 2.29503 | − | 1.22029i | 0.110165 | − | 0.0585758i | ||||
\(435\) | 0.0168704 | − | 0.483104i | 0.000808873 | − | 0.0231631i | ||||
\(436\) | 10.3880 | + | 7.54730i | 0.497493 | + | 0.361450i | ||||
\(437\) | −0.882593 | − | 0.682410i | −0.0422202 | − | 0.0326441i | ||||
\(438\) | 0.0352611 | − | 0.108522i | 0.00168484 | − | 0.00518540i | ||||
\(439\) | −14.0338 | − | 5.10788i | −0.669796 | − | 0.243786i | −0.0153357 | − | 0.999882i | \(-0.504882\pi\) |
−0.654460 | + | 0.756097i | \(0.727104\pi\) | |||||||
\(440\) | 0.620317 | + | 0.0965676i | 0.0295724 | + | 0.00460368i | ||||
\(441\) | 6.83367 | + | 5.73413i | 0.325413 | + | 0.273054i | ||||
\(442\) | 0.815425 | + | 2.01825i | 0.0387858 | + | 0.0959983i | ||||
\(443\) | 14.4586 | + | 29.6445i | 0.686949 | + | 1.40845i | 0.901950 | + | 0.431840i | \(0.142135\pi\) |
−0.215002 | + | 0.976614i | \(0.568976\pi\) | |||||||
\(444\) | 0.348745 | − | 0.155271i | 0.0165507 | − | 0.00736885i | ||||
\(445\) | 0.955298 | − | 1.06097i | 0.0452854 | − | 0.0502946i | ||||
\(446\) | 11.5685 | + | 14.8070i | 0.547785 | + | 0.701133i | ||||
\(447\) | −6.31662 | − | 1.81126i | −0.298766 | − | 0.0856698i | ||||
\(448\) | −1.81207 | − | 0.806787i | −0.0856124 | − | 0.0381171i | ||||
\(449\) | 3.61502 | + | 4.01489i | 0.170603 | + | 0.189474i | 0.822383 | − | 0.568934i | \(-0.192644\pi\) |
−0.651780 | + | 0.758408i | \(0.725977\pi\) | |||||||
\(450\) | 2.50852 | − | 14.2265i | 0.118253 | − | 0.670645i | ||||
\(451\) | 6.87587 | − | 0.378585i | 0.323772 | − | 0.0178269i | ||||
\(452\) | −4.89674 | − | 4.10885i | −0.230323 | − | 0.193264i | ||||
\(453\) | 5.57430 | + | 0.783417i | 0.261904 | + | 0.0368082i | ||||
\(454\) | −1.94530 | + | 0.557807i | −0.0912976 | + | 0.0261792i | ||||
\(455\) | −0.942978 | − | 0.685114i | −0.0442075 | − | 0.0321186i | ||||
\(456\) | 0.537749 | + | 1.19158i | 0.0251824 | + | 0.0558008i | ||||
\(457\) | −4.37686 | − | 13.4706i | −0.204741 | − | 0.630128i | −0.999724 | − | 0.0234959i | \(-0.992520\pi\) |
0.794983 | − | 0.606632i | \(-0.207480\pi\) | |||||||
\(458\) | 15.7623 | + | 23.3686i | 0.736525 | + | 1.09194i | ||||
\(459\) | −0.894027 | − | 0.863352i | −0.0417296 | − | 0.0402978i | ||||
\(460\) | −0.0410851 | + | 0.0256728i | −0.00191560 | + | 0.00119700i | ||||
\(461\) | 20.6565 | − | 17.3329i | 0.962070 | − | 0.807272i | −0.0192189 | − | 0.999815i | \(-0.506118\pi\) |
0.981289 | + | 0.192543i | \(0.0616735\pi\) | |||||||
\(462\) | 0.371355 | − | 1.93780i | 0.0172770 | − | 0.0901546i | ||||
\(463\) | 3.33073 | − | 5.76899i | 0.154792 | − | 0.268108i | −0.778191 | − | 0.628027i | \(-0.783863\pi\) |
0.932983 | + | 0.359920i | \(0.117196\pi\) | |||||||
\(464\) | 8.32904 | − | 1.77039i | 0.386666 | − | 0.0821884i | ||||
\(465\) | −0.0415992 | + | 0.0616734i | −0.00192912 | + | 0.00286003i | ||||
\(466\) | 3.35138 | + | 0.960992i | 0.155250 | + | 0.0445171i | ||||
\(467\) | 9.16225 | − | 10.1757i | 0.423979 | − | 0.470876i | −0.492875 | − | 0.870100i | \(-0.664054\pi\) |
0.916853 | + | 0.399224i | \(0.130721\pi\) | |||||||
\(468\) | 8.83663 | + | 1.87828i | 0.408473 | + | 0.0868237i | ||||
\(469\) | 11.3917 | − | 11.0008i | 0.526020 | − | 0.507972i | ||||
\(470\) | 0.395957 | − | 1.58810i | 0.0182641 | − | 0.0732534i | ||||
\(471\) | −5.33909 | + | 3.33623i | −0.246012 | + | 0.153725i | ||||
\(472\) | −0.747189 | − | 4.23752i | −0.0343921 | − | 0.195048i | ||||
\(473\) | 0.0925249 | − | 1.85956i | 0.00425430 | − | 0.0855025i | ||||
\(474\) | −1.13860 | −0.0522974 | ||||||||
\(475\) | 10.2549 | + | 19.0540i | 0.470527 | + | 0.874256i | ||||
\(476\) | −1.12520 | + | 0.817506i | −0.0515735 | + | 0.0374703i | ||||
\(477\) | −12.1326 | − | 17.9873i | −0.555513 | − | 0.823581i | ||||
\(478\) | 4.34984 | − | 2.31285i | 0.198957 | − | 0.105787i | ||||
\(479\) | 7.40013 | − | 18.3160i | 0.338120 | − | 0.836878i | −0.658333 | − | 0.752727i | \(-0.728738\pi\) |
0.996453 | − | 0.0841504i | \(-0.0268176\pi\) | |||||||
\(480\) | 0.0566312 | − | 0.00396004i | 0.00258485 | − | 0.000180750i | ||||
\(481\) | 1.73222 | + | 3.55158i | 0.0789824 | + | 0.161938i | ||||
\(482\) | 14.7309 | + | 16.3603i | 0.670975 | + | 0.745193i | ||||
\(483\) | 0.0761310 | + | 0.131863i | 0.00346408 | + | 0.00599997i | ||||
\(484\) | −10.4435 | + | 3.45447i | −0.474704 | + | 0.157021i | ||||
\(485\) | 0.665602 | − | 0.242259i | 0.0302234 | − | 0.0110004i | ||||
\(486\) | −7.60648 | + | 1.61681i | −0.345037 | + | 0.0733399i | ||||
\(487\) | −0.248828 | − | 2.36744i | −0.0112755 | − | 0.107279i | 0.987437 | − | 0.158016i | \(-0.0505097\pi\) |
−0.998712 | + | 0.0507369i | \(0.983843\pi\) | |||||||
\(488\) | −3.42031 | + | 3.30295i | −0.154830 | + | 0.149518i | ||||
\(489\) | 4.19473 | + | 2.62116i | 0.189692 | + | 0.118533i | ||||
\(490\) | −0.217366 | + | 0.538000i | −0.00981959 | + | 0.0243043i | ||||
\(491\) | −5.42311 | + | 11.1190i | −0.244742 | + | 0.501795i | −0.985436 | − | 0.170047i | \(-0.945608\pi\) |
0.740694 | + | 0.671842i | \(0.234497\pi\) | |||||||
\(492\) | 0.598589 | − | 0.171643i | 0.0269865 | − | 0.00773825i | ||||
\(493\) | 1.84501 | − | 5.67837i | 0.0830952 | − | 0.255741i | ||||
\(494\) | −12.1323 | + | 5.99332i | −0.545857 | + | 0.269652i | ||||
\(495\) | −0.538751 | − | 1.74565i | −0.0242150 | − | 0.0784611i | ||||
\(496\) | −1.23139 | − | 0.448188i | −0.0552908 | − | 0.0201242i | ||||
\(497\) | −27.7643 | − | 3.90202i | −1.24540 | − | 0.175030i | ||||
\(498\) | 4.13642 | + | 0.289247i | 0.185357 | + | 0.0129615i | ||||
\(499\) | −34.1696 | + | 2.38937i | −1.52964 | + | 0.106963i | −0.809607 | − | 0.586973i | \(-0.800319\pi\) |
−0.720037 | + | 0.693936i | \(0.755875\pi\) | |||||||
\(500\) | 1.86772 | − | 0.262490i | 0.0835268 | − | 0.0117389i | ||||
\(501\) | −5.63287 | − | 1.19730i | −0.251658 | − | 0.0534915i | ||||
\(502\) | 2.08584 | − | 19.8455i | 0.0930957 | − | 0.885747i | ||||
\(503\) | 19.7149 | − | 29.2286i | 0.879046 | − | 1.30324i | −0.0730155 | − | 0.997331i | \(-0.523262\pi\) |
0.952061 | − | 0.305908i | \(-0.0989600\pi\) | |||||||
\(504\) | 0.201449 | + | 5.76875i | 0.00897325 | + | 0.256960i | ||||
\(505\) | −0.490802 | − | 0.850093i | −0.0218404 | − | 0.0378287i | ||||
\(506\) | 0.435277 | − | 0.728782i | 0.0193504 | − | 0.0323983i | ||||
\(507\) | −0.175119 | + | 0.993149i | −0.00777731 | + | 0.0441073i | ||||
\(508\) | −2.03033 | − | 5.02525i | −0.0900814 | − | 0.222959i | ||||
\(509\) | −33.3080 | − | 2.32912i | −1.47635 | − | 0.103236i | −0.691254 | − | 0.722612i | \(-0.742942\pi\) |
−0.785095 | + | 0.619375i | \(0.787386\pi\) | |||||||
\(510\) | 0.0174495 | − | 0.0357769i | 0.000772679 | − | 0.00158423i | ||||
\(511\) | −0.0263378 | + | 0.754215i | −0.00116511 | + | 0.0333645i | ||||
\(512\) | 0.309017 | + | 0.951057i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | 4.93637 | − | 5.94362i | 0.217946 | − | 0.262417i | ||||
\(514\) | 25.8239 | − | 18.7622i | 1.13904 | − | 0.827564i | ||||
\(515\) | 0.311233 | − | 0.398360i | 0.0137146 | − | 0.0175538i | ||||
\(516\) | −0.0292361 | − | 0.165806i | −0.00128705 | − | 0.00729920i | ||||
\(517\) | 6.52507 | + | 27.9260i | 0.286972 | + | 1.22819i | ||||
\(518\) | −1.93410 | + | 1.62290i | −0.0849794 | + | 0.0713062i | ||||
\(519\) | 2.91726 | + | 1.55114i | 0.128054 | + | 0.0680873i | ||||
\(520\) | 0.0614233 | + | 0.584404i | 0.00269359 | + | 0.0256278i | ||||
\(521\) | −1.68067 | + | 15.9905i | −0.0736315 | + | 0.700557i | 0.893979 | + | 0.448109i | \(0.147902\pi\) |
−0.967610 | + | 0.252448i | \(0.918764\pi\) | |||||||
\(522\) | −15.2557 | − | 19.5264i | −0.667725 | − | 0.854649i | ||||
\(523\) | −19.3652 | − | 24.7864i | −0.846782 | − | 1.08383i | −0.995482 | − | 0.0949497i | \(-0.969731\pi\) |
0.148700 | − | 0.988882i | \(-0.452491\pi\) | |||||||
\(524\) | −1.40726 | + | 13.3891i | −0.0614763 | + | 0.584908i | ||||
\(525\) | −0.308692 | − | 2.93701i | −0.0134724 | − | 0.128182i | ||||
\(526\) | −2.95010 | − | 1.56859i | −0.128630 | − | 0.0683940i | ||||
\(527\) | −0.703864 | + | 0.590612i | −0.0306608 | + | 0.0257275i | ||||
\(528\) | −0.851272 | + | 0.514565i | −0.0370469 | + | 0.0223935i | ||||
\(529\) | −3.98253 | − | 22.5861i | −0.173154 | − | 0.982003i | ||||
\(530\) | 0.868860 | − | 1.11209i | 0.0377409 | − | 0.0483061i | ||||
\(531\) | −10.1302 | + | 7.36003i | −0.439613 | + | 0.319398i | ||||
\(532\) | −5.59100 | − | 6.59519i | −0.242401 | − | 0.285938i | ||||
\(533\) | 1.99183 | + | 6.13023i | 0.0862759 | + | 0.265530i | ||||
\(534\) | −0.0789457 | + | 2.26071i | −0.00341632 | + | 0.0978305i | ||||
\(535\) | 1.13613 | − | 2.32942i | 0.0491193 | − | 0.100709i | ||||
\(536\) | −7.96434 | − | 0.556921i | −0.344007 | − | 0.0240553i | ||||
\(537\) | 1.81624 | + | 4.49536i | 0.0783767 | + | 0.193989i | ||||
\(538\) | 3.67745 | − | 20.8559i | 0.158546 | − | 0.899160i | ||||
\(539\) | −0.912899 | − | 10.1260i | −0.0393214 | − | 0.436158i | ||||
\(540\) | −0.167755 | − | 0.290561i | −0.00721904 | − | 0.0125037i | ||||
\(541\) | 0.364871 | + | 10.4485i | 0.0156870 | + | 0.449218i | 0.981667 | + | 0.190602i | \(0.0610441\pi\) |
−0.965980 | + | 0.258616i | \(0.916734\pi\) | |||||||
\(542\) | 5.73447 | − | 8.50170i | 0.246316 | − | 0.365179i | ||||
\(543\) | 0.115851 | − | 1.10225i | 0.00497164 | − | 0.0473020i | ||||
\(544\) | 0.685853 | + | 0.145783i | 0.0294057 | + | 0.00625038i | ||||
\(545\) | 2.40681 | − | 0.338255i | 0.103097 | − | 0.0144893i | ||||
\(546\) | 1.84233 | − | 0.128828i | 0.0788443 | − | 0.00551333i | ||||
\(547\) | −19.3583 | − | 1.35367i | −0.827702 | − | 0.0578786i | −0.350381 | − | 0.936607i | \(-0.613948\pi\) |
−0.477322 | + | 0.878729i | \(0.658392\pi\) | |||||||
\(548\) | −9.01582 | − | 1.26709i | −0.385137 | − | 0.0541275i | ||||
\(549\) | 13.0022 | + | 4.73242i | 0.554921 | + | 0.201975i | ||||
\(550\) | −13.4617 | + | 9.47916i | −0.574010 | + | 0.404193i | ||||
\(551\) | 36.0589 | + | 8.79737i | 1.53616 | + | 0.374781i | ||||
\(552\) | 0.0237208 | − | 0.0730050i | 0.00100962 | − | 0.00310730i | ||||
\(553\) | 7.23866 | − | 2.07565i | 0.307819 | − | 0.0882657i | ||||
\(554\) | 5.68549 | − | 11.6570i | 0.241553 | − | 0.495258i | ||||
\(555\) | 0.0270689 | − | 0.0669978i | 0.00114901 | − | 0.00284390i | ||||
\(556\) | −10.4439 | − | 6.52610i | −0.442922 | − | 0.276768i | ||||
\(557\) | −30.7444 | + | 29.6896i | −1.30268 | + | 1.25799i | −0.356524 | + | 0.934286i | \(0.616038\pi\) |
−0.946159 | + | 0.323701i | \(0.895073\pi\) | |||||||
\(558\) | 0.398606 | + | 3.79248i | 0.0168743 | + | 0.160548i | ||||
\(559\) | 1.70465 | − | 0.362335i | 0.0720992 | − | 0.0153252i | ||||
\(560\) | −0.352816 | + | 0.128414i | −0.0149092 | + | 0.00542650i | ||||
\(561\) | 0.0140165 | + | 0.697323i | 0.000591777 | + | 0.0294410i | ||||
\(562\) | 0.475558 | + | 0.823691i | 0.0200602 | + | 0.0347453i | ||||
\(563\) | −15.8723 | − | 17.6280i | −0.668939 | − | 0.742932i | 0.309174 | − | 0.951006i | \(-0.399947\pi\) |
−0.978113 | + | 0.208073i | \(0.933281\pi\) | |||||||
\(564\) | 1.13683 | + | 2.33085i | 0.0478693 | + | 0.0981466i | ||||
\(565\) | −1.20701 | + | 0.0844023i | −0.0507792 | + | 0.00355083i | ||||
\(566\) | 3.11415 | − | 7.70780i | 0.130898 | − | 0.323983i | ||||
\(567\) | 14.3588 | − | 7.63470i | 0.603012 | − | 0.320627i | ||||
\(568\) | 7.90407 | + | 11.7183i | 0.331647 | + | 0.491687i | ||||
\(569\) | −7.31452 | + | 5.31431i | −0.306641 | + | 0.222787i | −0.730454 | − | 0.682962i | \(-0.760691\pi\) |
0.423813 | + | 0.905750i | \(0.360691\pi\) | |||||||
\(570\) | 0.229899 | + | 0.0915379i | 0.00962942 | + | 0.00383410i | ||||
\(571\) | −42.9002 | −1.79532 | −0.897660 | − | 0.440689i | \(-0.854734\pi\) | ||||
−0.897660 | + | 0.440689i | \(0.854734\pi\) | |||||||
\(572\) | −5.63054 | − | 8.62028i | −0.235425 | − | 0.360432i | ||||
\(573\) | 0.384341 | + | 2.17970i | 0.0160561 | + | 0.0910584i | ||||
\(574\) | −3.49265 | + | 2.18245i | −0.145780 | + | 0.0910936i | ||||
\(575\) | 0.307376 | − | 1.23282i | 0.0128185 | − | 0.0514120i | ||||
\(576\) | 2.09332 | − | 2.02149i | 0.0872215 | − | 0.0842288i | ||||
\(577\) | 28.2618 | + | 6.00723i | 1.17655 | + | 0.250084i | 0.754385 | − | 0.656432i | \(-0.227935\pi\) |
0.422170 | + | 0.906517i | \(0.361269\pi\) | |||||||
\(578\) | −11.0462 | + | 12.2681i | −0.459463 | + | 0.510286i | ||||
\(579\) | 2.92355 | + | 0.838315i | 0.121499 | + | 0.0348392i | ||||
\(580\) | 0.901299 | − | 1.33623i | 0.0374244 | − | 0.0554840i | ||||
\(581\) | −26.8247 | + | 5.70177i | −1.11288 | + | 0.236549i | ||||
\(582\) | −0.561152 | + | 0.971945i | −0.0232605 | + | 0.0402884i | ||||
\(583\) | −4.65410 | + | 24.2860i | −0.192753 | + | 1.00582i | ||||
\(584\) | 0.291453 | − | 0.244558i | 0.0120604 | − | 0.0101199i | ||||
\(585\) | 1.45017 | − | 0.906168i | 0.0599573 | − | 0.0374654i | ||||
\(586\) | −4.94182 | − | 4.77226i | −0.204145 | − | 0.197140i | ||||
\(587\) | 23.5373 | + | 34.8955i | 0.971488 | + | 1.44029i | 0.896468 | + | 0.443109i | \(0.146124\pi\) |
0.0750204 | + | 0.997182i | \(0.476098\pi\) | |||||||
\(588\) | −0.284106 | − | 0.874388i | −0.0117163 | − | 0.0360592i | ||||
\(589\) | −3.98855 | − | 4.08875i | −0.164345 | − | 0.168474i | ||||
\(590\) | −0.658923 | − | 0.478735i | −0.0271274 | − | 0.0197092i | ||||
\(591\) | −5.29416 | + | 1.51807i | −0.217772 | + | 0.0624452i | ||||
\(592\) | 1.26047 | + | 0.177147i | 0.0518049 | + | 0.00728071i | ||||
\(593\) | 3.06648 | + | 2.57308i | 0.125925 | + | 0.105664i | 0.703575 | − | 0.710621i | \(-0.251586\pi\) |
−0.577650 | + | 0.816284i | \(0.696030\pi\) | |||||||
\(594\) | 4.93880 | + | 3.18876i | 0.202641 | + | 0.130836i | ||||
\(595\) | −0.0457151 | + | 0.259263i | −0.00187413 | + | 0.0106287i | ||||
\(596\) | −14.6607 | − | 16.2824i | −0.600527 | − | 0.666953i | ||||
\(597\) | 0.293266 | + | 0.130571i | 0.0120026 | + | 0.00534390i | ||||
\(598\) | 0.763785 | + | 0.219012i | 0.0312335 | + | 0.00895606i | ||||
\(599\) | −8.84493 | − | 11.3210i | −0.361394 | − | 0.462563i | 0.572609 | − | 0.819829i | \(-0.305931\pi\) |
−0.934003 | + | 0.357266i | \(0.883709\pi\) | |||||||
\(600\) | −0.996222 | + | 1.10642i | −0.0406706 | + | 0.0451693i | ||||
\(601\) | 27.4887 | − | 12.2388i | 1.12129 | − | 0.499230i | 0.239510 | − | 0.970894i | \(-0.423013\pi\) |
0.881778 | + | 0.471664i | \(0.156347\pi\) | |||||||
\(602\) | 0.488132 | + | 1.00082i | 0.0198948 | + | 0.0407904i | ||||
\(603\) | 8.70332 | + | 21.5415i | 0.354427 | + | 0.877237i | ||||
\(604\) | 14.3778 | + | 12.0644i | 0.585025 | + | 0.490895i | ||||
\(605\) | −0.967768 | + | 1.84356i | −0.0393453 | + | 0.0749515i | ||||
\(606\) | 1.46152 | + | 0.531948i | 0.0593700 | + | 0.0216089i | ||||
\(607\) | 12.7485 | − | 39.2359i | 0.517447 | − | 1.59254i | −0.261339 | − | 0.965247i | \(-0.584164\pi\) |
0.778786 | − | 0.627290i | \(-0.215836\pi\) | |||||||
\(608\) | −0.584843 | + | 4.31949i | −0.0237185 | + | 0.175178i | ||||
\(609\) | −4.09819 | − | 2.97751i | −0.166067 | − | 0.120655i | ||||
\(610\) | −0.0314099 | + | 0.899462i | −0.00127175 | + | 0.0364182i | ||||
\(611\) | −23.7013 | + | 12.6022i | −0.958853 | + | 0.509831i | ||||
\(612\) | −0.493631 | − | 1.97985i | −0.0199539 | − | 0.0800305i | ||||
\(613\) | 3.29204 | − | 13.2036i | 0.132964 | − | 0.533290i | −0.866457 | − | 0.499253i | \(-0.833608\pi\) |
0.999421 | − | 0.0340372i | \(-0.0108365\pi\) | |||||||
\(614\) | −13.7246 | − | 7.29752i | −0.553881 | − | 0.294504i | ||||
\(615\) | 0.0589351 | − | 0.102079i | 0.00237649 | − | 0.00411621i | ||||
\(616\) | 4.47394 | − | 4.82322i | 0.180260 | − | 0.194333i | ||||
\(617\) | 1.71530 | − | 0.624319i | 0.0690555 | − | 0.0251341i | −0.307261 | − | 0.951625i | \(-0.599413\pi\) |
0.376317 | + | 0.926491i | \(0.377190\pi\) | |||||||
\(618\) | 0.0279540 | + | 0.800499i | 0.00112448 | + | 0.0322008i | ||||
\(619\) | −30.1004 | − | 13.4016i | −1.20984 | − | 0.538654i | −0.300128 | − | 0.953899i | \(-0.597029\pi\) |
−0.909710 | + | 0.415245i | \(0.863696\pi\) | |||||||
\(620\) | −0.226597 | + | 0.100888i | −0.00910037 | + | 0.00405175i | ||||
\(621\) | −0.449252 | + | 0.0631383i | −0.0180279 | + | 0.00253365i | ||||
\(622\) | −10.5417 | − | 6.58717i | −0.422683 | − | 0.264122i | ||||
\(623\) | −3.61936 | − | 14.5165i | −0.145007 | − | 0.581590i | ||||
\(624\) | −0.669753 | − | 0.646773i | −0.0268116 | − | 0.0258916i | ||||
\(625\) | −15.0615 | + | 19.2778i | −0.602458 | + | 0.771111i | ||||
\(626\) | 2.19351 | 0.0876702 | ||||||||
\(627\) | −4.31629 | + | 0.411108i | −0.172376 | + | 0.0164181i | ||||
\(628\) | −20.9917 | −0.837661 | ||||||||
\(629\) | 0.549475 | − | 0.703296i | 0.0219090 | − | 0.0280422i | ||||
\(630\) | 0.785954 | + | 0.758987i | 0.0313131 | + | 0.0302388i | ||||
\(631\) | 6.82916 | + | 27.3902i | 0.271864 | + | 1.09039i | 0.938576 | + | 0.345073i | \(0.112146\pi\) |
−0.666712 | + | 0.745316i | \(0.732299\pi\) | |||||||
\(632\) | −3.21952 | − | 2.01178i | −0.128066 | − | 0.0800243i | ||||
\(633\) | 5.80073 | − | 0.815239i | 0.230558 | − | 0.0324029i | ||||
\(634\) | −12.6694 | + | 5.64079i | −0.503167 | + | 0.224024i | ||||
\(635\) | −0.937214 | − | 0.417274i | −0.0371922 | − | 0.0165590i | ||||
\(636\) | 0.0780384 | + | 2.23473i | 0.00309443 | + | 0.0886128i | ||||
\(637\) | 8.94267 | − | 3.25486i | 0.354321 | − | 0.128962i | ||||
\(638\) | −3.36763 | + | 28.0399i | −0.133326 | + | 1.11011i | ||||
\(639\) | 20.5665 | − | 35.6222i | 0.813597 | − | 1.40919i | ||||
\(640\) | 0.167129 | + | 0.0888640i | 0.00660635 | + | 0.00351266i | ||||
\(641\) | −4.33275 | + | 17.3777i | −0.171133 | + | 0.686378i | 0.822010 | + | 0.569473i | \(0.192853\pi\) |
−0.993143 | + | 0.116905i | \(0.962703\pi\) | |||||||
\(642\) | 0.993445 | + | 3.98449i | 0.0392081 | + | 0.157255i | ||||
\(643\) | −16.8084 | + | 8.93718i | −0.662858 | + | 0.352448i | −0.766571 | − | 0.642159i | \(-0.778039\pi\) |
0.103713 | + | 0.994607i | \(0.466928\pi\) | |||||||
\(644\) | −0.0177179 | + | 0.507374i | −0.000698183 | + | 0.0199933i | ||||
\(645\) | −0.0257824 | − | 0.0187320i | −0.00101518 | − | 0.000737572i | ||||
\(646\) | 2.41791 | + | 1.86950i | 0.0951313 | + | 0.0735544i | ||||
\(647\) | 5.48128 | − | 16.8696i | 0.215491 | − | 0.663214i | −0.783627 | − | 0.621232i | \(-0.786633\pi\) |
0.999118 | − | 0.0419825i | \(-0.0133674\pi\) | |||||||
\(648\) | −7.70412 | − | 2.80407i | −0.302646 | − | 0.110154i | ||||
\(649\) | 14.1012 | + | 2.19520i | 0.553521 | + | 0.0861693i | ||||
\(650\) | −11.8055 | − | 9.90595i | −0.463048 | − | 0.388543i | ||||
\(651\) | 0.292030 | + | 0.722800i | 0.0114456 | + | 0.0283288i | ||||
\(652\) | 7.22981 | + | 14.8233i | 0.283141 | + | 0.580526i | ||||
\(653\) | 36.8944 | − | 16.4264i | 1.44379 | − | 0.642816i | 0.472633 | − | 0.881259i | \(-0.343304\pi\) |
0.971156 | + | 0.238443i | \(0.0766370\pi\) | |||||||
\(654\) | −2.57681 | + | 2.86184i | −0.100761 | + | 0.111907i | ||||
\(655\) | 1.56891 | + | 2.00811i | 0.0613023 | + | 0.0784633i | ||||
\(656\) | 1.99586 | + | 0.572304i | 0.0779253 | + | 0.0223447i | ||||
\(657\) | −1.01145 | − | 0.450327i | −0.0394605 | − | 0.0175689i | ||||
\(658\) | −11.4766 | − | 12.7460i | −0.447403 | − | 0.496892i | ||||
\(659\) | 5.06067 | − | 28.7005i | 0.197136 | − | 1.11801i | −0.712209 | − | 0.701968i | \(-0.752305\pi\) |
0.909344 | − | 0.416044i | \(-0.136584\pi\) | |||||||
\(660\) | −0.0482502 | + | 0.181996i | −0.00187814 | + | 0.00708418i | ||||
\(661\) | 17.0692 | + | 14.3228i | 0.663915 | + | 0.557091i | 0.911257 | − | 0.411837i | \(-0.135113\pi\) |
−0.247342 | + | 0.968928i | \(0.579557\pi\) | |||||||
\(662\) | 6.28368 | + | 0.883113i | 0.244222 | + | 0.0343232i | ||||
\(663\) | −0.627551 | + | 0.179947i | −0.0243720 | + | 0.00698857i | ||||
\(664\) | 11.1852 | + | 8.12651i | 0.434069 | + | 0.315370i | ||||
\(665\) | −1.62846 | − | 0.162851i | −0.0631491 | − | 0.00631509i | ||||
\(666\) | −1.14462 | − | 3.52278i | −0.0443532 | − | 0.136505i | ||||
\(667\) | −1.21871 | − | 1.80681i | −0.0471886 | − | 0.0699599i | ||||
\(668\) | −13.8121 | − | 13.3382i | −0.534407 | − | 0.516071i | ||||
\(669\) | −4.77919 | + | 2.98637i | −0.184774 | + | 0.115460i | ||||
\(670\) | −1.15766 | + | 0.971389i | −0.0447242 | + | 0.0375280i | ||||
\(671\) | −6.70239 | − | 14.2746i | −0.258743 | − | 0.551067i | ||||
\(672\) | 0.297450 | − | 0.515199i | 0.0114744 | − | 0.0198742i | ||||
\(673\) | −37.3213 | + | 7.93288i | −1.43863 | + | 0.305790i | −0.860206 | − | 0.509946i | \(-0.829665\pi\) |
−0.578424 | + | 0.815736i | \(0.696332\pi\) | |||||||
\(674\) | −10.1907 | + | 15.1084i | −0.392533 | + | 0.581954i | ||||
\(675\) | 8.45820 | + | 2.42535i | 0.325556 | + | 0.0933518i | ||||
\(676\) | −2.24996 | + | 2.49884i | −0.0865370 | + | 0.0961091i | ||||
\(677\) | −11.3641 | − | 2.41552i | −0.436760 | − | 0.0928361i | −0.0157160 | − | 0.999876i | \(-0.505003\pi\) |
−0.421044 | + | 0.907040i | \(0.638336\pi\) | |||||||
\(678\) | 1.37907 | − | 1.33175i | 0.0529628 | − | 0.0511456i | ||||
\(679\) | 1.79570 | − | 7.20215i | 0.0689125 | − | 0.276393i | ||||
\(680\) | 0.112555 | − | 0.0703320i | 0.00431628 | − | 0.00269711i | ||||
\(681\) | −0.105394 | − | 0.597717i | −0.00403869 | − | 0.0229046i | ||||
\(682\) | 2.72618 | − | 3.38481i | 0.104391 | − | 0.129611i | ||||
\(683\) | −16.6749 | −0.638048 | −0.319024 | − | 0.947747i | \(-0.603355\pi\) | ||||
−0.319024 | + | 0.947747i | \(0.603355\pi\) | |||||||
\(684\) | 12.0438 | − | 3.98061i | 0.460508 | − | 0.152203i | ||||
\(685\) | −1.39421 | + | 1.01295i | −0.0532699 | + | 0.0387028i | ||||
\(686\) | 11.1646 | + | 16.5522i | 0.426265 | + | 0.631964i | ||||
\(687\) | −7.46436 | + | 3.96887i | −0.284783 | + | 0.151422i | ||||
\(688\) | 0.210293 | − | 0.520494i | 0.00801736 | − | 0.0198437i | ||||
\(689\) | −23.0894 | + | 1.61457i | −0.879638 | + | 0.0615103i | ||||
\(690\) | −0.00636949 | − | 0.0130594i | −0.000242482 | − | 0.000497163i | ||||
\(691\) | −4.23438 | − | 4.70275i | −0.161083 | − | 0.178901i | 0.657200 | − | 0.753716i | \(-0.271741\pi\) |
−0.818283 | + | 0.574815i | \(0.805074\pi\) | |||||||
\(692\) | 5.50823 | + | 9.54053i | 0.209391 | + | 0.362677i | ||||
\(693\) | −18.3226 | − | 5.54886i | −0.696020 | − | 0.210784i | ||||
\(694\) | 24.5417 | − | 8.93243i | 0.931589 | − | 0.339071i | ||||
\(695\) | −2.28016 | + | 0.484663i | −0.0864914 | + | 0.0183843i | ||||
\(696\) | 0.266946 | + | 2.53982i | 0.0101186 | + | 0.0962717i | ||||
\(697\) | 1.04725 | − | 1.01132i | 0.0396674 | − | 0.0383063i | ||||
\(698\) | −14.9067 | − | 9.31471i | −0.564225 | − | 0.352567i | ||||
\(699\) | −0.391702 | + | 0.969496i | −0.0148155 | + | 0.0366697i | ||||
\(700\) | 4.31652 | − | 8.85019i | 0.163149 | − | 0.334506i | ||||
\(701\) | 14.9086 | − | 4.27496i | 0.563088 | − | 0.161463i | 0.0179945 | − | 0.999838i | \(-0.494272\pi\) |
0.545094 | + | 0.838375i | \(0.316494\pi\) | |||||||
\(702\) | −1.70041 | + | 5.23333i | −0.0641779 | + | 0.197519i | ||||
\(703\) | 4.61531 | + | 3.07928i | 0.174070 | + | 0.116137i | ||||
\(704\) | −3.31626 | − | 0.0491136i | −0.124986 | − | 0.00185104i | ||||
\(705\) | 0.461272 | + | 0.167889i | 0.0173725 | + | 0.00632307i | ||||
\(706\) | 2.78970 | + | 0.392066i | 0.104992 | + | 0.0147556i | ||||
\(707\) | −10.2614 | − | 0.717545i | −0.385919 | − | 0.0269861i | ||||
\(708\) | 1.28736 | − | 0.0900209i | 0.0483819 | − | 0.00338319i | ||||
\(709\) | 12.4931 | − | 1.75579i | 0.469188 | − | 0.0659401i | 0.0993828 | − | 0.995049i | \(-0.468313\pi\) |
0.369806 | + | 0.929109i | \(0.379424\pi\) | |||||||
\(710\) | 2.61704 | + | 0.556269i | 0.0982157 | + | 0.0208764i | ||||
\(711\) | −1.15480 | + | 10.9872i | −0.0433083 | + | 0.412051i | ||||
\(712\) | −4.21767 | + | 6.25295i | −0.158064 | + | 0.234339i | ||||
\(713\) | 0.0117051 | + | 0.335190i | 0.000438359 | + | 0.0125530i | ||||
\(714\) | −0.208565 | − | 0.361245i | −0.00780534 | − | 0.0135192i | ||||
\(715\) | −1.90013 | − | 0.433389i | −0.0710607 | − | 0.0162078i | ||||
\(716\) | −2.80718 | + | 15.9203i | −0.104909 | + | 0.594970i | ||||
\(717\) | 0.553493 | + | 1.36994i | 0.0206706 | + | 0.0511615i | ||||
\(718\) | −2.51806 | − | 0.176080i | −0.0939731 | − | 0.00657124i | ||||
\(719\) | −11.9615 | + | 24.5247i | −0.446088 | + | 0.914616i | 0.550713 | + | 0.834695i | \(0.314356\pi\) |
−0.996801 | + | 0.0799214i | \(0.974533\pi\) | |||||||
\(720\) | 0.0192237 | − | 0.550494i | 0.000716424 | − | 0.0205157i | ||||
\(721\) | −1.63702 | − | 5.03824i | −0.0609659 | − | 0.187634i | ||||
\(722\) | −10.4651 | + | 15.8582i | −0.389470 | + | 0.590181i | ||||
\(723\) | −5.34165 | + | 3.88093i | −0.198658 | + | 0.144333i | ||||
\(724\) | 2.27514 | − | 2.91205i | 0.0845549 | − | 0.108225i | ||||
\(725\) | 7.34019 | + | 41.6283i | 0.272608 | + | 1.54604i | ||||
\(726\) | −0.702972 | − | 3.22330i | −0.0260897 | − | 0.119628i | ||||
\(727\) | 20.4229 | − | 17.1368i | 0.757444 | − | 0.635571i | −0.180016 | − | 0.983664i | \(-0.557615\pi\) |
0.937460 | + | 0.348093i | \(0.113171\pi\) | |||||||
\(728\) | 5.43704 | + | 2.89092i | 0.201510 | + | 0.107145i | ||||
\(729\) | 2.32716 | + | 22.1414i | 0.0861910 | + | 0.820053i | ||||
\(730\) | 0.00752776 | − | 0.0716218i | 0.000278615 | − | 0.00265084i | ||||
\(731\) | −0.242336 | − | 0.310177i | −0.00896314 | − | 0.0114723i | ||||
\(732\) | −0.877953 | − | 1.12373i | −0.0324501 | − | 0.0415342i | ||||
\(733\) | 4.31188 | − | 41.0248i | 0.159263 | − | 1.51528i | −0.564614 | − | 0.825355i | \(-0.690975\pi\) |
0.723877 | − | 0.689929i | \(-0.242358\pi\) | |||||||
\(734\) | −0.966892 | − | 9.19936i | −0.0356886 | − | 0.339555i | ||||
\(735\) | −0.153656 | − | 0.0817004i | −0.00566769 | − | 0.00301356i | ||||
\(736\) | 0.196066 | − | 0.164519i | 0.00722708 | − | 0.00606424i | ||||
\(737\) | 10.2818 | − | 24.4015i | 0.378734 | − | 0.898842i | ||||
\(738\) | −1.04920 | − | 5.95033i | −0.0386217 | − | 0.219035i | ||||
\(739\) | 14.7147 | − | 18.8340i | 0.541290 | − | 0.692820i | −0.437141 | − | 0.899393i | \(-0.644009\pi\) |
0.978431 | + | 0.206573i | \(0.0662312\pi\) | |||||||
\(740\) | 0.194919 | − | 0.141617i | 0.00716536 | − | 0.00520594i | ||||
\(741\) | −1.40730 | − | 3.80661i | −0.0516984 | − | 0.139839i | ||||
\(742\) | −4.57003 | − | 14.0651i | −0.167771 | − | 0.516346i | ||||
\(743\) | 1.35053 | − | 38.6742i | 0.0495463 | − | 1.41882i | −0.679158 | − | 0.733992i | \(-0.737655\pi\) |
0.728705 | − | 0.684828i | \(-0.240123\pi\) | |||||||
\(744\) | 0.172285 | − | 0.353238i | 0.00631629 | − | 0.0129503i | ||||
\(745\) | −4.13716 | − | 0.289298i | −0.151574 | − | 0.0105991i | ||||
\(746\) | −6.07419 | − | 15.0341i | −0.222392 | − | 0.550439i | ||||
\(747\) | 6.98644 | − | 39.6221i | 0.255621 | − | 1.44970i | ||||
\(748\) | −1.19246 | + | 1.99653i | −0.0436008 | + | 0.0730005i | ||||
\(749\) | −13.5796 | − | 23.5205i | −0.496186 | − | 0.859420i | ||||
\(750\) | 0.0197413 | + | 0.565317i | 0.000720850 | + | 0.0206424i | ||||
\(751\) | 8.11082 | − | 12.0248i | 0.295968 | − | 0.438791i | −0.651496 | − | 0.758652i | \(-0.725858\pi\) |
0.947465 | + | 0.319861i | \(0.103636\pi\) | |||||||
\(752\) | −0.903838 | + | 8.59944i | −0.0329596 | + | 0.313589i | ||||
\(753\) | 5.85396 | + | 1.24430i | 0.213330 | + | 0.0453447i | ||||
\(754\) | −26.1773 | + | 3.67898i | −0.953321 | + | 0.133981i | ||||
\(755\) | 3.54403 | − | 0.247822i | 0.128980 | − | 0.00901918i | ||||
\(756\) | −3.50733 | − | 0.245256i | −0.127560 | − | 0.00891988i | ||||
\(757\) | 34.8470 | + | 4.89742i | 1.26653 | + | 0.178000i | 0.740264 | − | 0.672317i | \(-0.234701\pi\) |
0.526271 | + | 0.850317i | \(0.323590\pi\) | |||||||
\(758\) | −15.4380 | − | 5.61898i | −0.560734 | − | 0.204091i | ||||
\(759\) | 0.203730 | + | 0.152678i | 0.00739492 | + | 0.00554187i | ||||
\(760\) | 0.488331 | + | 0.665043i | 0.0177136 | + | 0.0241236i | ||||
\(761\) | −14.0531 | + | 43.2509i | −0.509423 | + | 1.56784i | 0.283781 | + | 0.958889i | \(0.408411\pi\) |
−0.793205 | + | 0.608955i | \(0.791589\pi\) | |||||||
\(762\) | 1.56254 | − | 0.448052i | 0.0566049 | − | 0.0162312i | ||||
\(763\) | 11.1650 | − | 22.8917i | 0.404202 | − | 0.828736i | ||||
\(764\) | −2.76454 | + | 6.84248i | −0.100018 | + | 0.247552i | ||||
\(765\) | −0.327540 | − | 0.204670i | −0.0118422 | − | 0.00739985i | ||||
\(766\) | 2.14914 | − | 2.07540i | 0.0776517 | − | 0.0749873i | ||||
\(767\) | 1.39629 | + | 13.2848i | 0.0504172 | + | 0.479688i | ||||
\(768\) | −0.293361 | + | 0.0623559i | −0.0105858 | + | 0.00225007i | ||||
\(769\) | 13.6242 | − | 4.95880i | 0.491300 | − | 0.178819i | −0.0844766 | − | 0.996425i | \(-0.526922\pi\) |
0.575777 | + | 0.817607i | \(0.304700\pi\) | |||||||
\(770\) | −0.0250251 | − | 1.24500i | −0.000901843 | − | 0.0448668i | ||||
\(771\) | 4.78667 | + | 8.29075i | 0.172388 | + | 0.298584i | ||||
\(772\) | 6.78549 | + | 7.53605i | 0.244215 | + | 0.271228i | ||||
\(773\) | 11.7015 | + | 23.9916i | 0.420873 | + | 0.862918i | 0.998900 | + | 0.0468999i | \(0.0149342\pi\) |
−0.578026 | + | 0.816018i | \(0.696177\pi\) | |||||||
\(774\) | −1.62964 | + | 0.113955i | −0.0585762 | + | 0.00409604i | ||||
\(775\) | 2.43686 | − | 6.03144i | 0.0875345 | − | 0.216656i | ||||
\(776\) | −3.30405 | + | 1.75680i | −0.118609 | + | 0.0630653i | ||||
\(777\) | −0.423433 | − | 0.627766i | −0.0151906 | − | 0.0225210i | ||||
\(778\) | 16.5621 | − | 12.0331i | 0.593782 | − | 0.431408i | ||||
\(779\) | 6.75621 | + | 6.02184i | 0.242066 | + | 0.215755i | ||||
\(780\) | −0.176237 | −0.00631030 | ||||||||
\(781\) | −45.2501 | + | 12.2531i | −1.61918 | + | 0.438450i | ||||
\(782\) | −0.0311634 | − | 0.176736i | −0.00111440 | − | 0.00632008i | ||||
\(783\) | 12.7997 | − | 7.99816i | 0.457425 | − | 0.285831i | ||||
\(784\) | 0.741608 | − | 2.97443i | 0.0264860 | − | 0.106230i | ||||
\(785\) | −2.85824 | + | 2.76017i | −0.102015 | + | 0.0985147i | ||||
\(786\) | −3.94949 | − | 0.839491i | −0.140874 | − | 0.0299437i | ||||
\(787\) | 10.2202 | − | 11.3506i | 0.364309 | − | 0.404607i | −0.532924 | − | 0.846163i | \(-0.678907\pi\) |
0.897233 | + | 0.441557i | \(0.145574\pi\) | |||||||
\(788\) | −17.6522 | − | 5.06168i | −0.628833 | − | 0.180315i | ||||
\(789\) | 0.560353 | − | 0.830757i | 0.0199491 | − | 0.0295757i | ||||
\(790\) | −0.702898 | + | 0.149406i | −0.0250080 | + | 0.00531561i | ||||
\(791\) | −6.33970 | + | 10.9807i | −0.225414 | + | 0.390428i | ||||
\(792\) | 4.10204 | + | 8.73645i | 0.145760 | + | 0.310436i | ||||
\(793\) | 11.3075 | − | 9.48812i | 0.401541 | − | 0.336933i | ||||
\(794\) | −9.34257 | + | 5.83788i | −0.331555 | + | 0.207179i | ||||
\(795\) | 0.304467 | + | 0.294020i | 0.0107983 | + | 0.0104278i | ||||
\(796\) | 0.598543 | + | 0.887376i | 0.0212148 | + | 0.0314522i | ||||
\(797\) | 3.17980 | + | 9.78643i | 0.112634 | + | 0.346653i | 0.991446 | − | 0.130515i | \(-0.0416631\pi\) |
−0.878812 | + | 0.477168i | \(0.841663\pi\) | |||||||
\(798\) | 2.14244 | − | 1.46088i | 0.0758415 | − | 0.0517147i | ||||
\(799\) | 4.90501 | + | 3.56370i | 0.173527 | + | 0.126075i | ||||
\(800\) | −4.77187 | + | 1.36831i | −0.168711 | + | 0.0483771i | ||||
\(801\) | 21.7352 | + | 3.05469i | 0.767977 | + | 0.107932i | ||||
\(802\) | −25.6693 | − | 21.5391i | −0.906413 | − | 0.760571i | ||||
\(803\) | 0.455323 | + | 1.17685i | 0.0160680 | + | 0.0415300i | ||||
\(804\) | 0.415794 | − | 2.35808i | 0.0146639 | − | 0.0831632i | ||||
\(805\) | 0.0643015 | + | 0.0714140i | 0.00226633 | + | 0.00251701i | ||||
\(806\) | 3.71638 | + | 1.65464i | 0.130904 | + | 0.0582822i | ||||
\(807\) | 6.10544 | + | 1.75071i | 0.214922 | + | 0.0616278i | ||||
\(808\) | 3.19272 | + | 4.08650i | 0.112320 | + | 0.143763i | ||||
\(809\) | −7.24984 | + | 8.05176i | −0.254891 | + | 0.283085i | −0.856986 | − | 0.515339i | \(-0.827666\pi\) |
0.602096 | + | 0.798424i | \(0.294333\pi\) | |||||||
\(810\) | −1.41770 | + | 0.631200i | −0.0498128 | + | 0.0221781i | ||||
\(811\) | −7.81509 | − | 16.0233i | −0.274425 | − | 0.562654i | 0.716418 | − | 0.697671i | \(-0.245780\pi\) |
−0.990843 | + | 0.135016i | \(0.956891\pi\) | |||||||
\(812\) | −6.32720 | − | 15.6604i | −0.222041 | − | 0.549571i | ||||
\(813\) | 2.35605 | + | 1.97696i | 0.0826302 | + | 0.0693349i | ||||
\(814\) | −1.90661 | + | 3.76652i | −0.0668265 | + | 0.132016i | ||||
\(815\) | 2.93351 | + | 1.06771i | 0.102756 | + | 0.0374003i | ||||
\(816\) | −0.0649842 | + | 0.200001i | −0.00227490 | + | 0.00700143i | ||||
\(817\) | 1.81016 | − | 1.64650i | 0.0633294 | − | 0.0576036i | ||||
\(818\) | 0.593252 | + | 0.431023i | 0.0207426 | + | 0.0150704i | ||||
\(819\) | 0.625384 | − | 17.9087i | 0.0218527 | − | 0.625780i | ||||
\(820\) | 0.347009 | − | 0.184508i | 0.0121181 | − | 0.00644329i | ||||
\(821\) | −5.76213 | − | 23.1106i | −0.201100 | − | 0.806567i | −0.983067 | − | 0.183247i | \(-0.941339\pi\) |
0.781967 | − | 0.623320i | \(-0.214216\pi\) | |||||||
\(822\) | 0.660581 | − | 2.64945i | 0.0230404 | − | 0.0924101i | ||||
\(823\) | 22.4711 | + | 11.9481i | 0.783292 | + | 0.416484i | 0.812406 | − | 0.583092i | \(-0.198157\pi\) |
−0.0291138 | + | 0.999576i | \(0.509269\pi\) | |||||||
\(824\) | −1.33536 | + | 2.31290i | −0.0465193 | + | 0.0805738i | ||||
\(825\) | −2.40535 | − | 4.31243i | −0.0837435 | − | 0.150140i | ||||
\(826\) | −8.02031 | + | 2.91916i | −0.279062 | + | 0.101570i | ||||
\(827\) | 1.77406 | + | 50.8024i | 0.0616901 | + | 1.76657i | 0.498379 | + | 0.866959i | \(0.333929\pi\) |
−0.436689 | + | 0.899613i | \(0.643849\pi\) | |||||||
\(828\) | −0.680422 | − | 0.302943i | −0.0236463 | − | 0.0105280i | ||||
\(829\) | 49.2001 | − | 21.9053i | 1.70879 | − | 0.760802i | 0.710416 | − | 0.703782i | \(-0.248507\pi\) |
0.998373 | − | 0.0570200i | \(-0.0181599\pi\) | |||||||
\(830\) | 2.59152 | − | 0.364215i | 0.0899530 | − | 0.0126421i | ||||
\(831\) | 3.29872 | + | 2.06127i | 0.114431 | + | 0.0715046i | ||||
\(832\) | −0.751030 | − | 3.01221i | −0.0260373 | − | 0.104430i | ||||
\(833\) | −1.54618 | − | 1.49313i | −0.0535720 | − | 0.0517339i | ||||
\(834\) | 2.27397 | − | 2.91055i | 0.0787411 | − | 0.100784i | ||||
\(835\) | −3.63449 | −0.125777 | ||||||||
\(836\) | −12.9312 | − | 6.46398i | −0.447236 | − | 0.223561i | ||||
\(837\) | −2.32273 | −0.0802851 | ||||||||
\(838\) | −3.66433 | + | 4.69013i | −0.126582 | + | 0.162018i | ||||
\(839\) | 14.8466 | + | 14.3372i | 0.512561 | + | 0.494974i | 0.905357 | − | 0.424651i | \(-0.139603\pi\) |
−0.392796 | + | 0.919626i | \(0.628492\pi\) | |||||||
\(840\) | −0.0272418 | − | 0.109261i | −0.000939932 | − | 0.00376986i | ||||
\(841\) | 36.8962 | + | 23.0553i | 1.27228 | + | 0.795010i | ||||
\(842\) | 14.2998 | − | 2.00971i | 0.492805 | − | 0.0692592i | ||||
\(843\) | −0.260593 | + | 0.116023i | −0.00897529 | + | 0.00399606i | ||||
\(844\) | 17.8427 | + | 7.94410i | 0.614172 | + | 0.273447i | ||||
\(845\) | 0.0222126 | + | 0.636087i | 0.000764138 | + | 0.0218821i | ||||
\(846\) | 23.6452 | − | 8.60613i | 0.812937 | − | 0.295885i | ||||
\(847\) | 10.3452 | + | 19.2107i | 0.355466 | + | 0.660089i | ||||
\(848\) | −3.72787 | + | 6.45686i | −0.128016 | + | 0.221730i | ||||
\(849\) | 2.20140 | + | 1.17050i | 0.0755517 | + | 0.0401716i | ||||
\(850\) | −0.842071 | + | 3.37736i | −0.0288828 | + | 0.115843i | ||||
\(851\) | −0.0788138 | − | 0.316105i | −0.00270170 | − | 0.0108359i | ||||
\(852\) | −3.74302 | + | 1.99020i | −0.128234 | + | 0.0681831i | ||||
\(853\) | 0.271532 | − | 7.77565i | 0.00929707 | − | 0.266233i | −0.985837 | − | 0.167705i | \(-0.946364\pi\) |
0.995134 | − | 0.0985281i | \(-0.0314134\pi\) | |||||||
\(854\) | 7.63016 | + | 5.54364i | 0.261099 | + | 0.189699i | ||||
\(855\) | 1.11649 | − | 2.12563i | 0.0381831 | − | 0.0726950i | ||||
\(856\) | −4.23109 | + | 13.0220i | −0.144616 | + | 0.445081i | ||||
\(857\) | 47.9198 | + | 17.4414i | 1.63691 | + | 0.595786i | 0.986495 | − | 0.163793i | \(-0.0523729\pi\) |
0.650415 | + | 0.759579i | \(0.274595\pi\) | |||||||
\(858\) | 2.74771 | − | 1.40919i | 0.0938052 | − | 0.0481090i | ||||
\(859\) | 7.09533 | + | 5.95369i | 0.242090 | + | 0.203137i | 0.755757 | − | 0.654852i | \(-0.227269\pi\) |
−0.513667 | + | 0.857989i | \(0.671713\pi\) | |||||||
\(860\) | −0.0398054 | − | 0.0985219i | −0.00135735 | − | 0.00335957i | ||||
\(861\) | −0.541470 | − | 1.11018i | −0.0184533 | − | 0.0378348i | ||||
\(862\) | 6.24391 | − | 2.77997i | 0.212668 | − | 0.0946861i | ||||
\(863\) | 7.13072 | − | 7.91947i | 0.242733 | − | 0.269582i | −0.609452 | − | 0.792823i | \(-0.708611\pi\) |
0.852185 | + | 0.523241i | \(0.175277\pi\) | |||||||
\(864\) | 1.09127 | + | 1.39676i | 0.0371257 | + | 0.0475188i | ||||
\(865\) | 2.00447 | + | 0.574774i | 0.0681542 | + | 0.0195429i | ||||
\(866\) | 12.8802 | + | 5.73462i | 0.437686 | + | 0.194870i | ||||
\(867\) | −3.31294 | − | 3.67939i | −0.112513 | − | 0.124959i | ||||
\(868\) | −0.451361 | + | 2.55979i | −0.0153202 | + | 0.0868851i | ||||
\(869\) | 9.76422 | − | 7.94975i | 0.331228 | − | 0.269677i | ||||
\(870\) | 0.370305 | + | 0.310723i | 0.0125545 | + | 0.0105345i | ||||
\(871\) | 24.5439 | + | 3.44942i | 0.831639 | + | 0.116879i | ||||
\(872\) | −12.3428 | + | 3.53925i | −0.417981 | + | 0.119854i | ||||
\(873\) | 8.80989 | + | 6.40076i | 0.298170 | + | 0.216633i | ||||
\(874\) | 1.08113 | − | 0.275359i | 0.0365696 | − | 0.00931417i | ||||
\(875\) | −1.15607 | − | 3.55803i | −0.0390825 | − | 0.120283i | ||||
\(876\) | 0.0638079 | + | 0.0945991i | 0.00215587 | + | 0.00319621i | ||||
\(877\) | 16.3719 | + | 15.8102i | 0.552841 | + | 0.533872i | 0.917744 | − | 0.397174i | \(-0.130009\pi\) |
−0.364903 | + | 0.931046i | \(0.618898\pi\) | |||||||
\(878\) | 12.6651 | − | 7.91404i | 0.427427 | − | 0.267086i | ||||
\(879\) | 1.57836 | − | 1.32440i | 0.0532367 | − | 0.0446709i | ||||
\(880\) | −0.458001 | + | 0.429363i | −0.0154392 | + | 0.0144738i | ||||
\(881\) | −3.00167 | + | 5.19905i | −0.101129 | + | 0.175161i | −0.912150 | − | 0.409856i | \(-0.865579\pi\) |
0.811021 | + | 0.585017i | \(0.198912\pi\) | |||||||
\(882\) | −8.72578 | + | 1.85472i | −0.293812 | + | 0.0624517i | ||||
\(883\) | −17.0334 | + | 25.2531i | −0.573221 | + | 0.849835i | −0.998473 | − | 0.0552402i | \(-0.982408\pi\) |
0.425252 | + | 0.905075i | \(0.360185\pi\) | |||||||
\(884\) | −2.09243 | − | 0.599994i | −0.0703759 | − | 0.0201800i | ||||
\(885\) | 0.163451 | − | 0.181530i | 0.00549433 | − | 0.00610207i | ||||
\(886\) | −32.2618 | − | 6.85746i | −1.08386 | − | 0.230381i | ||||
\(887\) | −25.5904 | + | 24.7123i | −0.859240 | + | 0.829758i | −0.986778 | − | 0.162075i | \(-0.948181\pi\) |
0.127538 | + | 0.991834i | \(0.459292\pi\) | |||||||
\(888\) | −0.0923534 | + | 0.370409i | −0.00309918 | + | 0.0124301i | ||||
\(889\) | −9.11712 | + | 5.69701i | −0.305778 | + | 0.191072i | ||||
\(890\) | 0.247912 | + | 1.40598i | 0.00831004 | + | 0.0471286i | ||||
\(891\) | 17.0562 | − | 21.1769i | 0.571405 | − | 0.709455i | ||||
\(892\) | −18.7904 | −0.629148 | ||||||||
\(893\) | −19.8113 | + | 32.0638i | −0.662961 | + | 1.07298i | ||||
\(894\) | 5.31620 | − | 3.86244i | 0.177800 | − | 0.129179i | ||||
\(895\) | 1.71111 | + | 2.53683i | 0.0571962 | + | 0.0847969i | ||||
\(896\) | 1.75138 | − | 0.931225i | 0.0585095 | − | 0.0311101i | ||||
\(897\) | −0.0892696 | + | 0.220950i | −0.00298062 | + | 0.00737730i | ||||
\(898\) | −5.38940 | + | 0.376864i | −0.179847 | + | 0.0125761i | ||||
\(899\) | −4.89148 | − | 10.0290i | −0.163140 | − | 0.334487i | ||||
\(900\) | 9.66625 | + | 10.7355i | 0.322208 | + | 0.357849i | ||||
\(901\) | 2.61389 | + | 4.52739i | 0.0870814 | + | 0.150829i | ||||
\(902\) | −3.93488 | + | 5.65134i | −0.131017 | + | 0.188169i | ||||
\(903\) | −0.313820 | + | 0.114221i | −0.0104433 | + | 0.00380104i | ||||
\(904\) | 6.25255 | − | 1.32902i | 0.207957 | − | 0.0442026i | ||||
\(905\) | −0.0731168 | − | 0.695660i | −0.00243049 | − | 0.0231245i | ||||
\(906\) | −4.04922 | + | 3.91029i | −0.134526 | + | 0.129911i | ||||
\(907\) | −17.1080 | − | 10.6903i | −0.568062 | − | 0.354965i | 0.215283 | − | 0.976552i | \(-0.430933\pi\) |
−0.783345 | + | 0.621587i | \(0.786488\pi\) | |||||||
\(908\) | 0.758090 | − | 1.87634i | 0.0251581 | − | 0.0622685i | ||||
\(909\) | 6.61549 | − | 13.5638i | 0.219422 | − | 0.449881i | ||||
\(910\) | 1.12043 | − | 0.321279i | 0.0371420 | − | 0.0106503i | ||||
\(911\) | 1.25362 | − | 3.85826i | 0.0415344 | − | 0.127830i | −0.928139 | − | 0.372233i | \(-0.878592\pi\) |
0.969674 | + | 0.244404i | \(0.0785922\pi\) | |||||||
\(912\) | −1.27005 | − | 0.309857i | −0.0420555 | − | 0.0102604i | ||||
\(913\) | −37.4921 | + | 26.4003i | −1.24081 | + | 0.873722i | ||||
\(914\) | 13.3096 | + | 4.84431i | 0.440243 | + | 0.160236i | ||||
\(915\) | −0.267300 | − | 0.0375666i | −0.00883666 | − | 0.00124191i | ||||
\(916\) | −28.1190 | − | 1.96627i | −0.929077 | − | 0.0649674i | ||||
\(917\) | 26.6394 | − | 1.86281i | 0.879711 | − | 0.0615154i | ||||
\(918\) | 1.23075 | − | 0.172970i | 0.0406208 | − | 0.00570887i | ||||
\(919\) | −49.3777 | − | 10.4956i | −1.62882 | − | 0.346216i | −0.699254 | − | 0.714873i | \(-0.746484\pi\) |
−0.929565 | + | 0.368657i | \(0.879818\pi\) | |||||||
\(920\) | 0.00506406 | − | 0.0481813i | 0.000166957 | − | 0.00158849i | ||||
\(921\) | 2.60691 | − | 3.86491i | 0.0859006 | − | 0.127353i | ||||
\(922\) | 0.941070 | + | 26.9487i | 0.0309925 | + | 0.887509i | ||||
\(923\) | −21.9402 | − | 38.0016i | −0.722171 | − | 1.25084i | ||||
\(924\) | 1.29838 | + | 1.48566i | 0.0427135 | + | 0.0488746i | ||||
\(925\) | −1.09723 | + | 6.22268i | −0.0360766 | + | 0.204600i | ||||
\(926\) | 2.49542 | + | 6.17639i | 0.0820047 | + | 0.202969i | ||||
\(927\) | 7.75297 | + | 0.542141i | 0.254641 | + | 0.0178062i | ||||
\(928\) | −3.73278 | + | 7.65333i | −0.122535 | + | 0.251233i | ||||
\(929\) | 1.75544 | − | 50.2692i | 0.0575941 | − | 1.64928i | −0.535784 | − | 0.844355i | \(-0.679984\pi\) |
0.593378 | − | 0.804924i | \(-0.297794\pi\) | |||||||
\(930\) | −0.0229882 | − | 0.0707506i | −0.000753814 | − | 0.00232000i | ||||
\(931\) | 8.53724 | − | 10.2792i | 0.279797 | − | 0.336888i | ||||
\(932\) | −2.82059 | + | 2.04928i | −0.0923914 | + | 0.0671263i | ||||
\(933\) | 2.29525 | − | 2.93779i | 0.0751431 | − | 0.0961788i | ||||
\(934\) | 2.37773 | + | 13.4848i | 0.0778015 | + | 0.441235i | ||||
\(935\) | 0.100155 | + | 0.428644i | 0.00327542 | + | 0.0140182i | ||||
\(936\) | −6.92048 | + | 5.80697i | −0.226203 | + | 0.189807i | ||||
\(937\) | −8.01843 | − | 4.26347i | −0.261951 | − | 0.139282i | 0.333302 | − | 0.942820i | \(-0.391837\pi\) |
−0.595253 | + | 0.803538i | \(0.702948\pi\) | |||||||
\(938\) | 1.65535 | + | 15.7496i | 0.0540490 | + | 0.514242i | ||||
\(939\) | −0.0687658 | + | 0.654263i | −0.00224409 | + | 0.0213511i | ||||
\(940\) | 1.00766 | + | 1.28975i | 0.0328663 | + | 0.0420669i | ||||
\(941\) | −19.2463 | − | 24.6342i | −0.627413 | − | 0.803051i | 0.364334 | − | 0.931269i | \(-0.381297\pi\) |
−0.991746 | + | 0.128217i | \(0.959075\pi\) | |||||||
\(942\) | 0.658084 | − | 6.26125i | 0.0214415 | − | 0.204003i | ||||
\(943\) | −0.0555483 | − | 0.528507i | −0.00180890 | − | 0.0172106i | ||||
\(944\) | 3.79922 | + | 2.02008i | 0.123654 | + | 0.0657481i | ||||
\(945\) | −0.509807 | + | 0.427779i | −0.0165840 | + | 0.0139157i | ||||
\(946\) | 1.40839 | + | 1.21777i | 0.0457906 | + | 0.0395931i | ||||
\(947\) | 7.40539 | + | 41.9980i | 0.240643 | + | 1.36475i | 0.830398 | + | 0.557171i | \(0.188113\pi\) |
−0.589755 | + | 0.807582i | \(0.700776\pi\) | |||||||
\(948\) | 0.700989 | − | 0.897226i | 0.0227671 | − | 0.0291405i | ||||
\(949\) | −0.955551 | + | 0.694248i | −0.0310185 | + | 0.0225363i | ||||
\(950\) | −21.3283 | − | 3.64983i | −0.691981 | − | 0.118416i | ||||
\(951\) | −1.28531 | − | 3.95577i | −0.0416790 | − | 0.128275i | ||||
\(952\) | 0.0485391 | − | 1.38998i | 0.00157316 | − | 0.0450494i | ||||
\(953\) | −14.9381 | + | 30.6276i | −0.483892 | + | 0.992125i | 0.507556 | + | 0.861619i | \(0.330549\pi\) |
−0.991448 | + | 0.130506i | \(0.958340\pi\) | |||||||
\(954\) | 21.6437 | + | 1.51348i | 0.700742 | + | 0.0490006i | ||||
\(955\) | 0.523287 | + | 1.29518i | 0.0169332 | + | 0.0419110i | ||||
\(956\) | −0.855478 | + | 4.85166i | −0.0276681 | + | 0.156914i | ||||
\(957\) | −8.25796 | − | 1.88351i | −0.266942 | − | 0.0608853i | ||||
\(958\) | 9.87720 | + | 17.1078i | 0.319118 | + | 0.552728i | ||||
\(959\) | 0.630256 | + | 18.0482i | 0.0203520 | + | 0.582806i | ||||
\(960\) | −0.0317451 | + | 0.0470641i | −0.00102457 | + | 0.00151899i | ||||
\(961\) | 3.06089 | − | 29.1224i | 0.0987383 | − | 0.939432i | ||||
\(962\) | −3.86514 | − | 0.821561i | −0.124617 | − | 0.0264882i | ||||
\(963\) | 39.4569 | − | 5.54531i | 1.27148 | − | 0.178695i | ||||
\(964\) | −21.9614 | + | 1.53569i | −0.707329 | + | 0.0494612i | ||||
\(965\) | 1.91482 | + | 0.133897i | 0.0616402 | + | 0.00431030i | ||||
\(966\) | −0.150780 | − | 0.0211908i | −0.00485127 | − | 0.000681802i | ||||
\(967\) | −2.98012 | − | 1.08467i | −0.0958341 | − | 0.0348808i | 0.293658 | − | 0.955911i | \(-0.405127\pi\) |
−0.389492 | + | 0.921030i | \(0.627349\pi\) | |||||||
\(968\) | 3.70750 | − | 10.3564i | 0.119164 | − | 0.332866i | ||||
\(969\) | −0.633420 | + | 0.662587i | −0.0203484 | + | 0.0212854i | ||||
\(970\) | −0.218883 | + | 0.673652i | −0.00702790 | + | 0.0216297i | ||||
\(971\) | 11.5248 | − | 3.30468i | 0.369849 | − | 0.106052i | −0.0855645 | − | 0.996333i | \(-0.527269\pi\) |
0.455413 | + | 0.890280i | \(0.349492\pi\) | |||||||
\(972\) | 3.40896 | − | 6.98939i | 0.109342 | − | 0.224185i | ||||
\(973\) | −9.15092 | + | 22.6493i | −0.293365 | + | 0.726104i | ||||
\(974\) | 2.01876 | + | 1.26146i | 0.0646853 | + | 0.0404199i | ||||
\(975\) | 3.32477 | − | 3.21069i | 0.106478 | − | 0.102824i | ||||
\(976\) | −0.497010 | − | 4.72874i | −0.0159089 | − | 0.151363i | ||||
\(977\) | 19.8611 | − | 4.22161i | 0.635414 | − | 0.135061i | 0.121068 | − | 0.992644i | \(-0.461368\pi\) |
0.514346 | + | 0.857583i | \(0.328035\pi\) | |||||||
\(978\) | −4.64804 | + | 1.69175i | −0.148628 | + | 0.0540961i | ||||
\(979\) | −15.1074 | − | 19.9383i | −0.482835 | − | 0.637231i | ||||
\(980\) | −0.290126 | − | 0.502512i | −0.00926773 | − | 0.0160522i | ||||
\(981\) | 25.0025 | + | 27.7681i | 0.798270 | + | 0.886568i | ||||
\(982\) | −5.42311 | − | 11.1190i | −0.173059 | − | 0.354823i | ||||
\(983\) | 33.2654 | − | 2.32614i | 1.06100 | − | 0.0741924i | 0.471426 | − | 0.881906i | \(-0.343740\pi\) |
0.589575 | + | 0.807713i | \(0.299295\pi\) | |||||||
\(984\) | −0.233272 | + | 0.577369i | −0.00743644 | + | 0.0184058i | ||||
\(985\) | −3.06908 | + | 1.63186i | −0.0977890 | + | 0.0519953i | ||||
\(986\) | 3.33871 | + | 4.94984i | 0.106326 | + | 0.157635i | ||||
\(987\) | 4.16157 | − | 3.02356i | 0.132464 | − | 0.0962410i | ||||
\(988\) | 2.74658 | − | 13.2502i | 0.0873804 | − | 0.421546i | ||||
\(989\) | −0.143680 | −0.00456877 | ||||||||
\(990\) | 1.70728 | + | 0.650188i | 0.0542609 | + | 0.0206643i | ||||
\(991\) | 8.20353 | + | 46.5245i | 0.260594 | + | 1.47790i | 0.781296 | + | 0.624161i | \(0.214559\pi\) |
−0.520702 | + | 0.853738i | \(0.674330\pi\) | |||||||
\(992\) | 1.11129 | − | 0.694413i | 0.0352836 | − | 0.0220476i | ||||
\(993\) | −0.460399 | + | 1.84656i | −0.0146103 | + | 0.0585989i | ||||
\(994\) | 20.1683 | − | 19.4763i | 0.639699 | − | 0.617750i | ||||
\(995\) | 0.198178 | + | 0.0421239i | 0.00628265 | + | 0.00133542i | ||||
\(996\) | −2.77456 | + | 3.08147i | −0.0879154 | + | 0.0976400i | ||||
\(997\) | 36.9427 | + | 10.5931i | 1.16999 | + | 0.335488i | 0.803712 | − | 0.595019i | \(-0.202855\pi\) |
0.366274 | + | 0.930507i | \(0.380633\pi\) | |||||||
\(998\) | 19.1541 | − | 28.3971i | 0.606312 | − | 0.898894i | ||||
\(999\) | 2.20685 | − | 0.469081i | 0.0698217 | − | 0.0148411i |
(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 | 418.2.u.b.251.5 | yes | 264 | |
11.5 | even | 5 | inner | 418.2.u.b.137.7 | yes | 264 | |
19.5 | even | 9 | inner | 418.2.u.b.119.7 | yes | 264 | |
209.5 | even | 45 | inner | 418.2.u.b.5.5 | ✓ | 264 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
418.2.u.b.5.5 | ✓ | 264 | 209.5 | even | 45 | inner | |
418.2.u.b.119.7 | yes | 264 | 19.5 | even | 9 | inner | |
418.2.u.b.137.7 | yes | 264 | 11.5 | even | 5 | inner | |
418.2.u.b.251.5 | yes | 264 | 1.1 | even | 1 | trivial |