Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(197,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.197");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 735.j (of order \(4\), degree \(2\), 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: | \(5.86900454856\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(i)\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 197.12 | ||
Character | \(\chi\) | \(=\) | 735.197 |
Dual form | 735.2.j.e.638.12 |
$q$-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 \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.72500 | − | 1.72500i | 1.21976 | − | 1.21976i | 0.252047 | − | 0.967715i | \(-0.418896\pi\) |
0.967715 | − | 0.252047i | \(-0.0811038\pi\) | |||||||
\(3\) | 0.953569 | + | 1.44593i | 0.550543 | + | 0.834807i | ||||
\(4\) | − | 3.95128i | − | 1.97564i | ||||||
\(5\) | 1.96293 | + | 1.07094i | 0.877848 | + | 0.478939i | ||||
\(6\) | 4.13914 | + | 0.849321i | 1.68980 | + | 0.346734i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −3.36596 | − | 3.36596i | −1.19005 | − | 1.19005i | ||||
\(9\) | −1.18141 | + | 2.75758i | −0.393804 | + | 0.919194i | ||||
\(10\) | 5.23344 | − | 1.53868i | 1.65496 | − | 0.486573i | ||||
\(11\) | − | 3.55709i | − | 1.07250i | −0.844058 | − | 0.536252i | \(-0.819840\pi\) | ||
0.844058 | − | 0.536252i | \(-0.180160\pi\) | |||||||
\(12\) | 5.71326 | − | 3.76781i | 1.64928 | − | 1.08767i | ||||
\(13\) | −1.28412 | + | 1.28412i | −0.356151 | + | 0.356151i | −0.862392 | − | 0.506241i | \(-0.831035\pi\) |
0.506241 | + | 0.862392i | \(0.331035\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.323283 | + | 3.85947i | 0.0834714 | + | 0.996510i | ||||
\(16\) | −3.71004 | −0.927509 | ||||||||
\(17\) | 2.16418 | − | 2.16418i | 0.524891 | − | 0.524891i | −0.394154 | − | 0.919045i | \(-0.628962\pi\) |
0.919045 | + | 0.394154i | \(0.128962\pi\) | |||||||
\(18\) | 2.71890 | + | 6.79478i | 0.640851 | + | 1.60155i | ||||
\(19\) | − | 0.383034i | − | 0.0878740i | −0.999034 | − | 0.0439370i | \(-0.986010\pi\) | ||
0.999034 | − | 0.0439370i | \(-0.0139901\pi\) | |||||||
\(20\) | 4.23159 | − | 7.75607i | 0.946211 | − | 1.73431i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −6.13600 | − | 6.13600i | −1.30820 | − | 1.30820i | ||||
\(23\) | 1.79948 | + | 1.79948i | 0.375218 | + | 0.375218i | 0.869374 | − | 0.494156i | \(-0.164523\pi\) |
−0.494156 | + | 0.869374i | \(0.664523\pi\) | |||||||
\(24\) | 1.65726 | − | 8.07661i | 0.338287 | − | 1.64863i | ||||
\(25\) | 2.70617 | + | 4.20436i | 0.541234 | + | 0.840872i | ||||
\(26\) | 4.43023i | 0.868840i | ||||||||
\(27\) | −5.11382 | + | 0.921307i | −0.984156 | + | 0.177306i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −5.51741 | −1.02456 | −0.512279 | − | 0.858819i | \(-0.671199\pi\) | ||||
−0.512279 | + | 0.858819i | \(0.671199\pi\) | |||||||
\(30\) | 7.21526 | + | 6.09993i | 1.31732 | + | 1.11369i | ||||
\(31\) | 0.647960 | 0.116377 | 0.0581885 | − | 0.998306i | \(-0.481468\pi\) | ||||
0.0581885 | + | 0.998306i | \(0.481468\pi\) | |||||||
\(32\) | 0.332092 | − | 0.332092i | 0.0587062 | − | 0.0587062i | ||||
\(33\) | 5.14330 | − | 3.39193i | 0.895333 | − | 0.590460i | ||||
\(34\) | − | 7.46644i | − | 1.28048i | ||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 10.8960 | + | 4.66809i | 1.81600 | + | 0.778015i | ||||
\(37\) | −3.66372 | − | 3.66372i | −0.602311 | − | 0.602311i | 0.338614 | − | 0.940925i | \(-0.390042\pi\) |
−0.940925 | + | 0.338614i | \(0.890042\pi\) | |||||||
\(38\) | −0.660735 | − | 0.660735i | −0.107185 | − | 0.107185i | ||||
\(39\) | −3.08125 | − | 0.632249i | −0.493394 | − | 0.101241i | ||||
\(40\) | −3.00239 | − | 10.2119i | −0.474720 | − | 1.61464i | ||||
\(41\) | 10.1075i | 1.57852i | 0.614060 | + | 0.789259i | \(0.289535\pi\) | ||||
−0.614060 | + | 0.789259i | \(0.710465\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.335236 | + | 0.335236i | −0.0511231 | + | 0.0511231i | −0.732206 | − | 0.681083i | \(-0.761509\pi\) |
0.681083 | + | 0.732206i | \(0.261509\pi\) | |||||||
\(44\) | −14.0551 | −2.11888 | ||||||||
\(45\) | −5.27224 | + | 4.14771i | −0.785939 | + | 0.618304i | ||||
\(46\) | 6.20823 | 0.915353 | ||||||||
\(47\) | −2.05365 | + | 2.05365i | −0.299555 | + | 0.299555i | −0.840840 | − | 0.541284i | \(-0.817938\pi\) |
0.541284 | + | 0.840840i | \(0.317938\pi\) | |||||||
\(48\) | −3.53778 | − | 5.36445i | −0.510634 | − | 0.774291i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 11.9207 | + | 2.58438i | 1.68584 | + | 0.365487i | ||||
\(51\) | 5.19295 | + | 1.06555i | 0.727158 | + | 0.149207i | ||||
\(52\) | 5.07392 | + | 5.07392i | 0.703626 | + | 0.703626i | ||||
\(53\) | −2.22721 | − | 2.22721i | −0.305931 | − | 0.305931i | 0.537398 | − | 0.843329i | \(-0.319407\pi\) |
−0.843329 | + | 0.537398i | \(0.819407\pi\) | |||||||
\(54\) | −7.23211 | + | 10.4106i | −0.984165 | + | 1.41671i | ||||
\(55\) | 3.80944 | − | 6.98232i | 0.513664 | − | 0.941495i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.553839 | − | 0.365249i | 0.0733578 | − | 0.0483784i | ||||
\(58\) | −9.51756 | + | 9.51756i | −1.24972 | + | 1.24972i | ||||
\(59\) | −7.63190 | −0.993589 | −0.496795 | − | 0.867868i | \(-0.665490\pi\) | ||||
−0.496795 | + | 0.867868i | \(0.665490\pi\) | |||||||
\(60\) | 15.2498 | − | 1.27738i | 1.96874 | − | 0.164909i | ||||
\(61\) | −10.9195 | −1.39810 | −0.699051 | − | 0.715072i | \(-0.746394\pi\) | ||||
−0.699051 | + | 0.715072i | \(0.746394\pi\) | |||||||
\(62\) | 1.11773 | − | 1.11773i | 0.141952 | − | 0.141952i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 8.56580i | − | 1.07072i | ||||||
\(65\) | −3.89586 | + | 1.14542i | −0.483222 | + | 0.142072i | ||||
\(66\) | 3.02111 | − | 14.7233i | 0.371873 | − | 1.81231i | ||||
\(67\) | −9.07004 | − | 9.07004i | −1.10808 | − | 1.10808i | −0.993403 | − | 0.114680i | \(-0.963416\pi\) |
−0.114680 | − | 0.993403i | \(-0.536584\pi\) | |||||||
\(68\) | −8.55128 | − | 8.55128i | −1.03700 | − | 1.03700i | ||||
\(69\) | −0.885991 | + | 4.31785i | −0.106661 | + | 0.519808i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.06673i | 0.363954i | 0.983303 | + | 0.181977i | \(0.0582497\pi\) | ||||
−0.983303 | + | 0.181977i | \(0.941750\pi\) | |||||||
\(72\) | 13.2585 | − | 5.30533i | 1.56253 | − | 0.625239i | ||||
\(73\) | 2.32143 | − | 2.32143i | 0.271703 | − | 0.271703i | −0.558083 | − | 0.829785i | \(-0.688463\pi\) |
0.829785 | + | 0.558083i | \(0.188463\pi\) | |||||||
\(74\) | −12.6399 | −1.46935 | ||||||||
\(75\) | −3.49868 | + | 7.92207i | −0.403993 | + | 0.914762i | ||||
\(76\) | −1.51347 | −0.173607 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −6.40579 | + | 4.22453i | −0.725313 | + | 0.478334i | ||||
\(79\) | − | 3.70961i | − | 0.417364i | −0.977984 | − | 0.208682i | \(-0.933083\pi\) | ||
0.977984 | − | 0.208682i | \(-0.0669173\pi\) | |||||||
\(80\) | −7.28254 | − | 3.97323i | −0.814212 | − | 0.444221i | ||||
\(81\) | −6.20853 | − | 6.51569i | −0.689836 | − | 0.723965i | ||||
\(82\) | 17.4354 | + | 17.4354i | 1.92542 | + | 1.92542i | ||||
\(83\) | −0.973978 | − | 0.973978i | −0.106908 | − | 0.106908i | 0.651629 | − | 0.758537i | \(-0.274086\pi\) |
−0.758537 | + | 0.651629i | \(0.774086\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.56584 | − | 1.93042i | 0.712166 | − | 0.209384i | ||||
\(86\) | 1.15657i | 0.124716i | ||||||||
\(87\) | −5.26123 | − | 7.97778i | −0.564063 | − | 0.855308i | ||||
\(88\) | −11.9730 | + | 11.9730i | −1.27633 | + | 1.27633i | ||||
\(89\) | −3.03934 | −0.322170 | −0.161085 | − | 0.986941i | \(-0.551499\pi\) | ||||
−0.161085 | + | 0.986941i | \(0.551499\pi\) | |||||||
\(90\) | −1.93981 | + | 16.2494i | −0.204474 | + | 1.71284i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 7.11025 | − | 7.11025i | 0.741295 | − | 0.741295i | ||||
\(93\) | 0.617874 | + | 0.936903i | 0.0640706 | + | 0.0971523i | ||||
\(94\) | 7.08510i | 0.730772i | ||||||||
\(95\) | 0.410207 | − | 0.751867i | 0.0420863 | − | 0.0771400i | ||||
\(96\) | 0.796854 | + | 0.163509i | 0.0813286 | + | 0.0166880i | ||||
\(97\) | 10.3438 | + | 10.3438i | 1.05025 | + | 1.05025i | 0.998669 | + | 0.0515850i | \(0.0164273\pi\) |
0.0515850 | + | 0.998669i | \(0.483573\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 9.80898 | + | 4.20240i | 0.985839 | + | 0.422357i | ||||
\(100\) | 16.6126 | − | 10.6928i | 1.66126 | − | 1.06928i | ||||
\(101\) | 0.182575i | 0.0181669i | 0.999959 | + | 0.00908347i | \(0.00289140\pi\) | ||||
−0.999959 | + | 0.00908347i | \(0.997109\pi\) | |||||||
\(102\) | 10.7959 | − | 7.11977i | 1.06896 | − | 0.704962i | ||||
\(103\) | 3.43585 | − | 3.43585i | 0.338545 | − | 0.338545i | −0.517275 | − | 0.855819i | \(-0.673053\pi\) |
0.855819 | + | 0.517275i | \(0.173053\pi\) | |||||||
\(104\) | 8.64461 | 0.847674 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −7.68390 | −0.746327 | ||||||||
\(107\) | −7.61917 | + | 7.61917i | −0.736573 | + | 0.736573i | −0.971913 | − | 0.235340i | \(-0.924380\pi\) |
0.235340 | + | 0.971913i | \(0.424380\pi\) | |||||||
\(108\) | 3.64034 | + | 20.2061i | 0.350292 | + | 1.94434i | ||||
\(109\) | − | 10.2103i | − | 0.977974i | −0.872291 | − | 0.488987i | \(-0.837367\pi\) | ||
0.872291 | − | 0.488987i | \(-0.162633\pi\) | |||||||
\(110\) | −5.47323 | − | 18.6158i | −0.521852 | − | 1.77495i | ||||
\(111\) | 1.80386 | − | 8.79107i | 0.171215 | − | 0.834412i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.98156 | + | 7.98156i | 0.750842 | + | 0.750842i | 0.974636 | − | 0.223794i | \(-0.0718444\pi\) |
−0.223794 | + | 0.974636i | \(0.571844\pi\) | |||||||
\(114\) | 0.325319 | − | 1.58543i | 0.0304689 | − | 0.148489i | ||||
\(115\) | 1.60511 | + | 5.45939i | 0.149678 | + | 0.509091i | ||||
\(116\) | 21.8008i | 2.02416i | ||||||||
\(117\) | −2.02399 | − | 5.05815i | −0.187118 | − | 0.467626i | ||||
\(118\) | −13.1651 | + | 13.1651i | −1.21194 | + | 1.21194i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 11.9027 | − | 14.0790i | 1.08656 | − | 1.28523i | ||||
\(121\) | −1.65291 | −0.150265 | ||||||||
\(122\) | −18.8362 | + | 18.8362i | −1.70535 | + | 1.70535i | ||||
\(123\) | −14.6146 | + | 9.63815i | −1.31776 | + | 0.869043i | ||||
\(124\) | − | 2.56027i | − | 0.229919i | ||||||
\(125\) | 0.809394 | + | 11.1510i | 0.0723944 | + | 0.997376i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.79324 | + | 2.79324i | 0.247860 | + | 0.247860i | 0.820092 | − | 0.572232i | \(-0.193922\pi\) |
−0.572232 | + | 0.820092i | \(0.693922\pi\) | |||||||
\(128\) | −14.1118 | − | 14.1118i | −1.24732 | − | 1.24732i | ||||
\(129\) | −0.804399 | − | 0.165057i | −0.0708234 | − | 0.0145324i | ||||
\(130\) | −4.74452 | + | 8.69622i | −0.416122 | + | 0.762709i | ||||
\(131\) | 8.82773i | 0.771282i | 0.922649 | + | 0.385641i | \(0.126020\pi\) | ||||
−0.922649 | + | 0.385641i | \(0.873980\pi\) | |||||||
\(132\) | −13.4025 | − | 20.3226i | −1.16654 | − | 1.76886i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −31.2917 | −2.70319 | ||||||||
\(135\) | −11.0247 | − | 3.66815i | −0.948858 | − | 0.315704i | ||||
\(136\) | −14.5691 | −1.24929 | ||||||||
\(137\) | −8.45564 | + | 8.45564i | −0.722414 | + | 0.722414i | −0.969096 | − | 0.246682i | \(-0.920660\pi\) |
0.246682 | + | 0.969096i | \(0.420660\pi\) | |||||||
\(138\) | 5.91997 | + | 8.97665i | 0.503941 | + | 0.764143i | ||||
\(139\) | − | 8.03342i | − | 0.681386i | −0.940175 | − | 0.340693i | \(-0.889338\pi\) | ||
0.940175 | − | 0.340693i | \(-0.110662\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −4.92772 | − | 1.01113i | −0.414989 | − | 0.0851526i | ||||
\(142\) | 5.29012 | + | 5.29012i | 0.443937 | + | 0.443937i | ||||
\(143\) | 4.56774 | + | 4.56774i | 0.381974 | + | 0.381974i | ||||
\(144\) | 4.38309 | − | 10.2307i | 0.365257 | − | 0.852561i | ||||
\(145\) | −10.8303 | − | 5.90882i | −0.899406 | − | 0.490701i | ||||
\(146\) | − | 8.00895i | − | 0.662826i | ||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −14.4764 | + | 14.4764i | −1.18995 | + | 1.18995i | ||||
\(149\) | 17.7814 | 1.45671 | 0.728354 | − | 0.685201i | \(-0.240286\pi\) | ||||
0.728354 | + | 0.685201i | \(0.240286\pi\) | |||||||
\(150\) | 7.63037 | + | 19.7008i | 0.623017 | + | 1.60857i | ||||
\(151\) | 19.9067 | 1.61998 | 0.809991 | − | 0.586442i | \(-0.199472\pi\) | ||||
0.809991 | + | 0.586442i | \(0.199472\pi\) | |||||||
\(152\) | −1.28928 | + | 1.28928i | −0.104574 | + | 0.104574i | ||||
\(153\) | 3.41112 | + | 8.52470i | 0.275772 | + | 0.689181i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1.27190 | + | 0.693927i | 0.102161 | + | 0.0557375i | ||||
\(156\) | −2.49819 | + | 12.1749i | −0.200015 | + | 0.974769i | ||||
\(157\) | −7.30927 | − | 7.30927i | −0.583344 | − | 0.583344i | 0.352477 | − | 0.935821i | \(-0.385340\pi\) |
−0.935821 | + | 0.352477i | \(0.885340\pi\) | |||||||
\(158\) | −6.39909 | − | 6.39909i | −0.509084 | − | 0.509084i | ||||
\(159\) | 1.09659 | − | 5.34419i | 0.0869651 | − | 0.423822i | ||||
\(160\) | 1.00752 | − | 0.296222i | 0.0796518 | − | 0.0234184i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −21.9493 | − | 0.529858i | −1.72450 | − | 0.0416296i | ||||
\(163\) | 14.1435 | − | 14.1435i | 1.10780 | − | 1.10780i | 0.114363 | − | 0.993439i | \(-0.463517\pi\) |
0.993439 | − | 0.114363i | \(-0.0364827\pi\) | |||||||
\(164\) | 39.9373 | 3.11858 | ||||||||
\(165\) | 13.7285 | − | 1.14995i | 1.06876 | − | 0.0895234i | ||||
\(166\) | −3.36023 | −0.260805 | ||||||||
\(167\) | 6.08875 | − | 6.08875i | 0.471162 | − | 0.471162i | −0.431129 | − | 0.902290i | \(-0.641884\pi\) |
0.902290 | + | 0.431129i | \(0.141884\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.70206i | 0.746312i | ||||||||
\(170\) | 7.99612 | − | 14.6561i | 0.613274 | − | 1.12407i | ||||
\(171\) | 1.05625 | + | 0.452521i | 0.0807732 | + | 0.0346051i | ||||
\(172\) | 1.32461 | + | 1.32461i | 0.101001 | + | 0.101001i | ||||
\(173\) | 1.18876 | + | 1.18876i | 0.0903798 | + | 0.0903798i | 0.750851 | − | 0.660471i | \(-0.229644\pi\) |
−0.660471 | + | 0.750851i | \(0.729644\pi\) | |||||||
\(174\) | −22.8373 | − | 4.68605i | −1.73129 | − | 0.355249i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 13.1969i | 0.994758i | ||||||||
\(177\) | −7.27755 | − | 11.0352i | −0.547014 | − | 0.829455i | ||||
\(178\) | −5.24288 | + | 5.24288i | −0.392970 | + | 0.392970i | ||||
\(179\) | 21.1515 | 1.58094 | 0.790470 | − | 0.612501i | \(-0.209836\pi\) | ||||
0.790470 | + | 0.612501i | \(0.209836\pi\) | |||||||
\(180\) | 16.3888 | + | 20.8321i | 1.22155 | + | 1.55273i | ||||
\(181\) | −22.4232 | −1.66671 | −0.833353 | − | 0.552740i | \(-0.813582\pi\) | ||||
−0.833353 | + | 0.552740i | \(0.813582\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −10.4125 | − | 15.7889i | −0.769716 | − | 1.16715i | ||||
\(184\) | − | 12.1140i | − | 0.893054i | ||||||
\(185\) | −3.26799 | − | 11.1152i | −0.240267 | − | 0.817208i | ||||
\(186\) | 2.68200 | + | 0.550326i | 0.196653 | + | 0.0403518i | ||||
\(187\) | −7.69819 | − | 7.69819i | −0.562948 | − | 0.562948i | ||||
\(188\) | 8.11453 | + | 8.11453i | 0.591813 | + | 0.591813i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.589366 | − | 2.00458i | −0.0427571 | − | 0.145428i | ||||
\(191\) | 18.9016i | 1.36767i | 0.729637 | + | 0.683834i | \(0.239689\pi\) | ||||
−0.729637 | + | 0.683834i | \(0.760311\pi\) | |||||||
\(192\) | 12.3855 | − | 8.16808i | 0.893848 | − | 0.589480i | ||||
\(193\) | 10.8872 | − | 10.8872i | 0.783680 | − | 0.783680i | −0.196770 | − | 0.980450i | \(-0.563045\pi\) |
0.980450 | + | 0.196770i | \(0.0630452\pi\) | |||||||
\(194\) | 35.6862 | 2.56212 | ||||||||
\(195\) | −5.37116 | − | 4.54089i | −0.384637 | − | 0.325180i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 0.582177 | − | 0.582177i | 0.0414784 | − | 0.0414784i | −0.686063 | − | 0.727542i | \(-0.740663\pi\) |
0.727542 | + | 0.686063i | \(0.240663\pi\) | |||||||
\(198\) | 24.1697 | − | 9.67138i | 1.71766 | − | 0.687315i | ||||
\(199\) | − | 4.62320i | − | 0.327730i | −0.986483 | − | 0.163865i | \(-0.947604\pi\) | ||
0.986483 | − | 0.163865i | \(-0.0523962\pi\) | |||||||
\(200\) | 5.04285 | − | 23.2606i | 0.356583 | − | 1.64477i | ||||
\(201\) | 4.46572 | − | 21.7635i | 0.314987 | − | 1.53508i | ||||
\(202\) | 0.314943 | + | 0.314943i | 0.0221593 | + | 0.0221593i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 4.21030 | − | 20.5188i | 0.294780 | − | 1.43660i | ||||
\(205\) | −10.8245 | + | 19.8402i | −0.756015 | + | 1.38570i | ||||
\(206\) | − | 11.8537i | − | 0.825888i | ||||||
\(207\) | −7.08815 | + | 2.83629i | −0.492661 | + | 0.197136i | ||||
\(208\) | 4.76414 | − | 4.76414i | 0.330334 | − | 0.330334i | ||||
\(209\) | −1.36249 | −0.0942452 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 22.8142 | 1.57060 | 0.785298 | − | 0.619118i | \(-0.212510\pi\) | ||||
0.785298 | + | 0.619118i | \(0.212510\pi\) | |||||||
\(212\) | −8.80034 | + | 8.80034i | −0.604410 | + | 0.604410i | ||||
\(213\) | −4.43427 | + | 2.92434i | −0.303831 | + | 0.200372i | ||||
\(214\) | 26.2862i | 1.79689i | ||||||||
\(215\) | −1.01706 | + | 0.299026i | −0.0693631 | + | 0.0203934i | ||||
\(216\) | 20.3140 | + | 14.1118i | 1.38219 | + | 0.960190i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −17.6129 | − | 17.6129i | −1.19290 | − | 1.19290i | ||||
\(219\) | 5.57026 | + | 1.14298i | 0.376403 | + | 0.0772352i | ||||
\(220\) | −27.5891 | − | 15.0521i | −1.86005 | − | 1.01482i | ||||
\(221\) | 5.55815i | 0.373881i | ||||||||
\(222\) | −12.0530 | − | 18.2763i | −0.808942 | − | 1.22663i | ||||
\(223\) | 9.51124 | − | 9.51124i | 0.636920 | − | 0.636920i | −0.312875 | − | 0.949794i | \(-0.601292\pi\) |
0.949794 | + | 0.312875i | \(0.101292\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −14.7910 | + | 2.49540i | −0.986065 | + | 0.166360i | ||||
\(226\) | 27.5365 | 1.83170 | ||||||||
\(227\) | −1.56240 | + | 1.56240i | −0.103700 | + | 0.103700i | −0.757053 | − | 0.653353i | \(-0.773362\pi\) |
0.653353 | + | 0.757053i | \(0.273362\pi\) | |||||||
\(228\) | −1.44320 | − | 2.18837i | −0.0955783 | − | 0.144928i | ||||
\(229\) | 25.5038i | 1.68534i | 0.538433 | + | 0.842668i | \(0.319016\pi\) | ||||
−0.538433 | + | 0.842668i | \(0.680984\pi\) | |||||||
\(230\) | 12.1863 | + | 6.64865i | 0.803541 | + | 0.438399i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 18.5714 | + | 18.5714i | 1.21927 | + | 1.21927i | ||||
\(233\) | −18.2492 | − | 18.2492i | −1.19555 | − | 1.19555i | −0.975486 | − | 0.220061i | \(-0.929374\pi\) |
−0.220061 | − | 0.975486i | \(-0.570626\pi\) | |||||||
\(234\) | −12.2167 | − | 5.23393i | −0.798632 | − | 0.342153i | ||||
\(235\) | −6.23049 | + | 1.83182i | −0.406433 | + | 0.119495i | ||||
\(236\) | 30.1558i | 1.96297i | ||||||||
\(237\) | 5.36383 | − | 3.53737i | 0.348418 | − | 0.229777i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 5.35194 | 0.346188 | 0.173094 | − | 0.984905i | \(-0.444624\pi\) | ||||
0.173094 | + | 0.984905i | \(0.444624\pi\) | |||||||
\(240\) | −1.19939 | − | 14.3188i | −0.0774205 | − | 0.924273i | ||||
\(241\) | −8.04722 | −0.518367 | −0.259184 | − | 0.965828i | \(-0.583453\pi\) | ||||
−0.259184 | + | 0.965828i | \(0.583453\pi\) | |||||||
\(242\) | −2.85128 | + | 2.85128i | −0.183287 | + | 0.183287i | ||||
\(243\) | 3.50096 | − | 15.1902i | 0.224587 | − | 0.974454i | ||||
\(244\) | 43.1461i | 2.76215i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −8.58447 | + | 41.8362i | −0.547326 | + | 2.66738i | ||||
\(247\) | 0.491862 | + | 0.491862i | 0.0312964 | + | 0.0312964i | ||||
\(248\) | −2.18101 | − | 2.18101i | −0.138494 | − | 0.138494i | ||||
\(249\) | 0.479547 | − | 2.33706i | 0.0303900 | − | 0.148105i | ||||
\(250\) | 20.6317 | + | 17.8393i | 1.30487 | + | 1.12826i | ||||
\(251\) | − | 4.25486i | − | 0.268565i | −0.990943 | − | 0.134282i | \(-0.957127\pi\) | ||
0.990943 | − | 0.134282i | \(-0.0428729\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.40093 | − | 6.40093i | 0.402423 | − | 0.402423i | ||||
\(254\) | 9.63670 | 0.604660 | ||||||||
\(255\) | 9.05223 | + | 7.65294i | 0.566873 | + | 0.479246i | ||||
\(256\) | −31.5544 | −1.97215 | ||||||||
\(257\) | −2.56122 | + | 2.56122i | −0.159764 | + | 0.159764i | −0.782462 | − | 0.622698i | \(-0.786037\pi\) |
0.622698 | + | 0.782462i | \(0.286037\pi\) | |||||||
\(258\) | −1.67231 | + | 1.10287i | −0.104114 | + | 0.0686615i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 4.52587 | + | 15.3936i | 0.280683 | + | 0.954671i | ||||
\(261\) | 6.51834 | − | 15.2147i | 0.403475 | − | 0.941768i | ||||
\(262\) | 15.2279 | + | 15.2279i | 0.940781 | + | 0.940781i | ||||
\(263\) | 5.45045 | + | 5.45045i | 0.336089 | + | 0.336089i | 0.854893 | − | 0.518804i | \(-0.173623\pi\) |
−0.518804 | + | 0.854893i | \(0.673623\pi\) | |||||||
\(264\) | −28.7293 | − | 5.89503i | −1.76816 | − | 0.362814i | ||||
\(265\) | −1.98664 | − | 6.75707i | −0.122039 | − | 0.415084i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2.89822 | − | 4.39467i | −0.177368 | − | 0.268949i | ||||
\(268\) | −35.8383 | + | 35.8383i | −2.18917 | + | 2.18917i | ||||
\(269\) | 19.5048 | 1.18923 | 0.594613 | − | 0.804012i | \(-0.297305\pi\) | ||||
0.594613 | + | 0.804012i | \(0.297305\pi\) | |||||||
\(270\) | −25.3453 | + | 12.6901i | −1.54246 | + | 0.772297i | ||||
\(271\) | 20.3774 | 1.23784 | 0.618919 | − | 0.785454i | \(-0.287571\pi\) | ||||
0.618919 | + | 0.785454i | \(0.287571\pi\) | |||||||
\(272\) | −8.02919 | + | 8.02919i | −0.486841 | + | 0.486841i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 29.1720i | 1.76235i | ||||||||
\(275\) | 14.9553 | − | 9.62610i | 0.901839 | − | 0.580476i | ||||
\(276\) | 17.0610 | + | 3.50080i | 1.02695 | + | 0.210723i | ||||
\(277\) | −8.12176 | − | 8.12176i | −0.487989 | − | 0.487989i | 0.419682 | − | 0.907671i | \(-0.362142\pi\) |
−0.907671 | + | 0.419682i | \(0.862142\pi\) | |||||||
\(278\) | −13.8577 | − | 13.8577i | −0.831129 | − | 0.831129i | ||||
\(279\) | −0.765508 | + | 1.78680i | −0.0458298 | + | 0.106973i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.16755i | 0.0696500i | 0.999393 | + | 0.0348250i | \(0.0110874\pi\) | ||||
−0.999393 | + | 0.0348250i | \(0.988913\pi\) | |||||||
\(282\) | −10.2445 | + | 6.75613i | −0.610053 | + | 0.402321i | ||||
\(283\) | 17.2638 | − | 17.2638i | 1.02623 | − | 1.02623i | 0.0265790 | − | 0.999647i | \(-0.491539\pi\) |
0.999647 | − | 0.0265790i | \(-0.00846137\pi\) | |||||||
\(284\) | 12.1175 | 0.719042 | ||||||||
\(285\) | 1.47831 | − | 0.123828i | 0.0875673 | − | 0.00733496i | ||||
\(286\) | 15.7587 | 0.931834 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0.523434 | + | 1.30811i | 0.0308436 | + | 0.0770811i | ||||
\(289\) | 7.63264i | 0.448979i | ||||||||
\(290\) | −28.8750 | + | 8.48953i | −1.69560 | + | 0.498523i | ||||
\(291\) | −5.09286 | + | 24.8199i | −0.298549 | + | 1.45497i | ||||
\(292\) | −9.17261 | − | 9.17261i | −0.536787 | − | 0.536787i | ||||
\(293\) | −17.1201 | − | 17.1201i | −1.00016 | − | 1.00016i | −1.00000 | 0.000164506i | \(-0.999948\pi\) | |
−0.000164506 | − | 1.00000i | \(-0.500052\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −14.9809 | − | 8.17332i | −0.872220 | − | 0.475869i | ||||
\(296\) | 24.6639i | 1.43356i | ||||||||
\(297\) | 3.27717 | + | 18.1903i | 0.190161 | + | 1.05551i | ||||
\(298\) | 30.6730 | − | 30.6730i | 1.77684 | − | 1.77684i | ||||
\(299\) | −4.62151 | −0.267269 | ||||||||
\(300\) | 31.3023 | + | 13.8243i | 1.80724 | + | 0.798144i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 34.3391 | − | 34.3391i | 1.97599 | − | 1.97599i | ||||
\(303\) | −0.263991 | + | 0.174098i | −0.0151659 | + | 0.0100017i | ||||
\(304\) | 1.42107i | 0.0815039i | ||||||||
\(305\) | −21.4342 | − | 11.6942i | −1.22732 | − | 0.669606i | ||||
\(306\) | 20.5893 | + | 8.82095i | 1.17701 | + | 0.504260i | ||||
\(307\) | 9.35548 | + | 9.35548i | 0.533946 | + | 0.533946i | 0.921744 | − | 0.387799i | \(-0.126764\pi\) |
−0.387799 | + | 0.921744i | \(0.626764\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 8.24432 | + | 1.69167i | 0.469003 | + | 0.0962359i | ||||
\(310\) | 3.39105 | − | 0.997003i | 0.192599 | − | 0.0566259i | ||||
\(311\) | − | 2.72592i | − | 0.154573i | −0.997009 | − | 0.0772864i | \(-0.975374\pi\) | ||
0.997009 | − | 0.0772864i | \(-0.0246256\pi\) | |||||||
\(312\) | 8.24323 | + | 12.4995i | 0.466681 | + | 0.707644i | ||||
\(313\) | −18.3246 | + | 18.3246i | −1.03577 | + | 1.03577i | −0.0364306 | + | 0.999336i | \(0.511599\pi\) |
−0.999336 | + | 0.0364306i | \(0.988401\pi\) | |||||||
\(314\) | −25.2171 | −1.42308 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −14.6577 | −0.824560 | ||||||||
\(317\) | 3.33397 | − | 3.33397i | 0.187254 | − | 0.187254i | −0.607254 | − | 0.794508i | \(-0.707729\pi\) |
0.794508 | + | 0.607254i | \(0.207729\pi\) | |||||||
\(318\) | −7.32713 | − | 11.1104i | −0.410885 | − | 0.623039i | ||||
\(319\) | 19.6259i | 1.09884i | ||||||||
\(320\) | 9.17346 | − | 16.8140i | 0.512812 | − | 0.939933i | ||||
\(321\) | −18.2822 | − | 3.75137i | −1.02041 | − | 0.209381i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.828954 | − | 0.828954i | −0.0461243 | − | 0.0461243i | ||||
\(324\) | −25.7453 | + | 24.5316i | −1.43029 | + | 1.36287i | ||||
\(325\) | −8.87396 | − | 1.92386i | −0.492239 | − | 0.106716i | ||||
\(326\) | − | 48.7951i | − | 2.70251i | ||||||
\(327\) | 14.7634 | − | 9.73627i | 0.816419 | − | 0.538417i | ||||
\(328\) | 34.0213 | − | 34.0213i | 1.87851 | − | 1.87851i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 21.6980 | − | 25.6654i | 1.19444 | − | 1.41283i | ||||
\(331\) | 10.1122 | 0.555817 | 0.277909 | − | 0.960608i | \(-0.410359\pi\) | ||||
0.277909 | + | 0.960608i | \(0.410359\pi\) | |||||||
\(332\) | −3.84846 | + | 3.84846i | −0.211211 | + | 0.211211i | ||||
\(333\) | 14.4314 | − | 5.77464i | 0.790834 | − | 0.316448i | ||||
\(334\) | − | 21.0062i | − | 1.14941i | ||||||
\(335\) | −8.09036 | − | 27.5173i | −0.442023 | − | 1.50343i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 8.78763 | + | 8.78763i | 0.478692 | + | 0.478692i | 0.904713 | − | 0.426021i | \(-0.140085\pi\) |
−0.426021 | + | 0.904713i | \(0.640085\pi\) | |||||||
\(338\) | 16.7361 | + | 16.7361i | 0.910324 | + | 0.910324i | ||||
\(339\) | −3.92979 | + | 19.1517i | −0.213437 | + | 1.04018i | ||||
\(340\) | −7.62763 | − | 25.9435i | −0.413666 | − | 1.40698i | ||||
\(341\) | − | 2.30485i | − | 0.124815i | ||||||
\(342\) | 2.60263 | − | 1.04143i | 0.140734 | − | 0.0563141i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 2.25679 | 0.121678 | ||||||||
\(345\) | −6.36330 | + | 7.52678i | −0.342589 | + | 0.405228i | ||||
\(346\) | 4.10124 | 0.220484 | ||||||||
\(347\) | −7.81255 | + | 7.81255i | −0.419400 | + | 0.419400i | −0.884997 | − | 0.465597i | \(-0.845840\pi\) |
0.465597 | + | 0.884997i | \(0.345840\pi\) | |||||||
\(348\) | −31.5224 | + | 20.7886i | −1.68978 | + | 1.11439i | ||||
\(349\) | − | 6.84738i | − | 0.366532i | −0.983063 | − | 0.183266i | \(-0.941333\pi\) | ||
0.983063 | − | 0.183266i | \(-0.0586670\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.38370 | − | 7.74984i | 0.287361 | − | 0.413656i | ||||
\(352\) | −1.18128 | − | 1.18128i | −0.0629626 | − | 0.0629626i | ||||
\(353\) | −15.7595 | − | 15.7595i | −0.838794 | − | 0.838794i | 0.149906 | − | 0.988700i | \(-0.452103\pi\) |
−0.988700 | + | 0.149906i | \(0.952103\pi\) | |||||||
\(354\) | −31.5895 | − | 6.48194i | −1.67896 | − | 0.344511i | ||||
\(355\) | −3.28429 | + | 6.01977i | −0.174312 | + | 0.319496i | ||||
\(356\) | 12.0093i | 0.636491i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 36.4865 | − | 36.4865i | 1.92837 | − | 1.92837i | ||||
\(359\) | −26.7716 | −1.41295 | −0.706476 | − | 0.707737i | \(-0.749716\pi\) | ||||
−0.706476 | + | 0.707737i | \(0.749716\pi\) | |||||||
\(360\) | 31.7072 | + | 3.78511i | 1.67112 | + | 0.199493i | ||||
\(361\) | 18.8533 | 0.992278 | ||||||||
\(362\) | −38.6802 | + | 38.6802i | −2.03299 | + | 2.03299i | ||||
\(363\) | −1.57616 | − | 2.38999i | −0.0827272 | − | 0.125442i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 7.04291 | − | 2.07068i | 0.368643 | − | 0.108385i | ||||
\(366\) | −45.1975 | − | 9.27419i | −2.36251 | − | 0.484769i | ||||
\(367\) | −11.8881 | − | 11.8881i | −0.620554 | − | 0.620554i | 0.325119 | − | 0.945673i | \(-0.394596\pi\) |
−0.945673 | + | 0.325119i | \(0.894596\pi\) | |||||||
\(368\) | −6.67615 | − | 6.67615i | −0.348018 | − | 0.348018i | ||||
\(369\) | −27.8721 | − | 11.9411i | −1.45097 | − | 0.621628i | ||||
\(370\) | −24.8111 | − | 13.5365i | −1.28987 | − | 0.703731i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 3.70196 | − | 2.44139i | 0.191938 | − | 0.126580i | ||||
\(373\) | 7.41825 | − | 7.41825i | 0.384103 | − | 0.384103i | −0.488475 | − | 0.872578i | \(-0.662447\pi\) |
0.872578 | + | 0.488475i | \(0.162447\pi\) | |||||||
\(374\) | −26.5588 | −1.37332 | ||||||||
\(375\) | −15.3517 | + | 11.8036i | −0.792760 | + | 0.609534i | ||||
\(376\) | 13.8250 | 0.712969 | ||||||||
\(377\) | 7.08503 | − | 7.08503i | 0.364898 | − | 0.364898i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 22.0750i | − | 1.13391i | −0.823747 | − | 0.566957i | \(-0.808120\pi\) | ||
0.823747 | − | 0.566957i | \(-0.191880\pi\) | |||||||
\(380\) | −2.97084 | − | 1.62084i | −0.152401 | − | 0.0831473i | ||||
\(381\) | −1.37528 | + | 6.70237i | −0.0704575 | + | 0.343373i | ||||
\(382\) | 32.6053 | + | 32.6053i | 1.66823 | + | 1.66823i | ||||
\(383\) | −14.2199 | − | 14.2199i | −0.726605 | − | 0.726605i | 0.243337 | − | 0.969942i | \(-0.421758\pi\) |
−0.969942 | + | 0.243337i | \(0.921758\pi\) | |||||||
\(384\) | 6.94809 | − | 33.8613i | 0.354568 | − | 1.72798i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 37.5610i | − | 1.91181i | ||||||
\(387\) | −0.528390 | − | 1.32050i | −0.0268595 | − | 0.0671245i | ||||
\(388\) | 40.8712 | − | 40.8712i | 2.07492 | − | 2.07492i | ||||
\(389\) | 1.37812 | 0.0698735 | 0.0349368 | − | 0.999390i | \(-0.488877\pi\) | ||||
0.0349368 | + | 0.999390i | \(0.488877\pi\) | |||||||
\(390\) | −17.0983 | + | 1.43222i | −0.865808 | + | 0.0725232i | ||||
\(391\) | 7.78881 | 0.393897 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −12.7643 | + | 8.41785i | −0.643872 | + | 0.424624i | ||||
\(394\) | − | 2.00852i | − | 0.101188i | ||||||
\(395\) | 3.97277 | − | 7.28169i | 0.199892 | − | 0.366382i | ||||
\(396\) | 16.6048 | − | 38.7580i | 0.834424 | − | 1.94766i | ||||
\(397\) | −15.7519 | − | 15.7519i | −0.790566 | − | 0.790566i | 0.191020 | − | 0.981586i | \(-0.438820\pi\) |
−0.981586 | + | 0.191020i | \(0.938820\pi\) | |||||||
\(398\) | −7.97504 | − | 7.97504i | −0.399753 | − | 0.399753i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −10.0400 | − | 15.5983i | −0.502000 | − | 0.779917i | ||||
\(401\) | − | 8.67633i | − | 0.433275i | −0.976252 | − | 0.216638i | \(-0.930491\pi\) | ||
0.976252 | − | 0.216638i | \(-0.0695090\pi\) | |||||||
\(402\) | −29.8388 | − | 45.2456i | −1.48822 | − | 2.25664i | ||||
\(403\) | −0.832059 | + | 0.832059i | −0.0414478 | + | 0.0414478i | ||||
\(404\) | 0.721406 | 0.0358913 | ||||||||
\(405\) | −5.20897 | − | 19.4388i | −0.258836 | − | 0.965921i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −13.0322 | + | 13.0322i | −0.645981 | + | 0.645981i | ||||
\(408\) | −13.8926 | − | 21.0659i | −0.687788 | − | 1.04292i | ||||
\(409\) | 7.82990i | 0.387164i | 0.981084 | + | 0.193582i | \(0.0620105\pi\) | ||||
−0.981084 | + | 0.193582i | \(0.937989\pi\) | |||||||
\(410\) | 15.5521 | + | 52.8967i | 0.768065 | + | 2.61238i | ||||
\(411\) | −20.2893 | − | 4.16321i | −1.00080 | − | 0.205356i | ||||
\(412\) | −13.5760 | − | 13.5760i | −0.668842 | − | 0.668842i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −7.33448 | + | 17.1197i | −0.360470 | + | 0.841387i | ||||
\(415\) | −0.868775 | − | 2.95492i | −0.0426465 | − | 0.145051i | ||||
\(416\) | 0.852894i | 0.0418166i | ||||||||
\(417\) | 11.6157 | − | 7.66042i | 0.568826 | − | 0.375132i | ||||
\(418\) | −2.35029 | + | 2.35029i | −0.114957 | + | 0.114957i | ||||
\(419\) | 17.2587 | 0.843141 | 0.421571 | − | 0.906796i | \(-0.361479\pi\) | ||||
0.421571 | + | 0.906796i | \(0.361479\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −30.2371 | −1.47366 | −0.736832 | − | 0.676076i | \(-0.763679\pi\) | ||||
−0.736832 | + | 0.676076i | \(0.763679\pi\) | |||||||
\(422\) | 39.3546 | − | 39.3546i | 1.91575 | − | 1.91575i | ||||
\(423\) | −3.23689 | − | 8.08930i | −0.157383 | − | 0.393315i | ||||
\(424\) | 14.9934i | 0.728145i | ||||||||
\(425\) | 14.9556 | + | 3.24235i | 0.725455 | + | 0.157277i | ||||
\(426\) | −2.60464 | + | 12.6936i | −0.126195 | + | 0.615009i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 30.1055 | + | 30.1055i | 1.45520 | + | 1.45520i | ||||
\(429\) | −2.24897 | + | 10.9603i | −0.108581 | + | 0.529167i | ||||
\(430\) | −1.23862 | + | 2.27026i | −0.0597314 | + | 0.109482i | ||||
\(431\) | 20.4198i | 0.983586i | 0.870712 | + | 0.491793i | \(0.163658\pi\) | ||||
−0.870712 | + | 0.491793i | \(0.836342\pi\) | |||||||
\(432\) | 18.9725 | − | 3.41808i | 0.912814 | − | 0.164453i | ||||
\(433\) | −14.4338 | + | 14.4338i | −0.693646 | + | 0.693646i | −0.963032 | − | 0.269386i | \(-0.913179\pi\) |
0.269386 | + | 0.963032i | \(0.413179\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.78369 | − | 21.2943i | −0.0855212 | − | 1.02098i | ||||
\(436\) | −40.3439 | −1.93212 | ||||||||
\(437\) | 0.689262 | − | 0.689262i | 0.0329719 | − | 0.0329719i | ||||
\(438\) | 11.5804 | − | 7.63709i | 0.553331 | − | 0.364914i | ||||
\(439\) | − | 14.5429i | − | 0.694096i | −0.937847 | − | 0.347048i | \(-0.887184\pi\) | ||
0.937847 | − | 0.347048i | \(-0.112816\pi\) | |||||||
\(440\) | −36.3246 | + | 10.6798i | −1.73171 | + | 0.509139i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 9.58782 | + | 9.58782i | 0.456046 | + | 0.456046i | ||||
\(443\) | 7.25516 | + | 7.25516i | 0.344703 | + | 0.344703i | 0.858132 | − | 0.513429i | \(-0.171625\pi\) |
−0.513429 | + | 0.858132i | \(0.671625\pi\) | |||||||
\(444\) | −34.7360 | − | 7.12756i | −1.64850 | − | 0.338259i | ||||
\(445\) | −5.96601 | − | 3.25496i | −0.282816 | − | 0.154300i | ||||
\(446\) | − | 32.8138i | − | 1.55378i | ||||||
\(447\) | 16.9558 | + | 25.7106i | 0.801981 | + | 1.21607i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −6.70137 | −0.316257 | −0.158129 | − | 0.987419i | \(-0.550546\pi\) | ||||
−0.158129 | + | 0.987419i | \(0.550546\pi\) | |||||||
\(450\) | −21.2099 | + | 29.8191i | −0.999845 | + | 1.40568i | ||||
\(451\) | 35.9531 | 1.69297 | ||||||||
\(452\) | 31.5374 | − | 31.5374i | 1.48339 | − | 1.48339i | ||||
\(453\) | 18.9824 | + | 28.7836i | 0.891870 | + | 1.35237i | ||||
\(454\) | 5.39029i | 0.252979i | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −3.09361 | − | 0.634787i | −0.144872 | − | 0.0297266i | ||||
\(457\) | −21.8822 | − | 21.8822i | −1.02361 | − | 1.02361i | −0.999715 | − | 0.0238905i | \(-0.992395\pi\) |
−0.0238905 | − | 0.999715i | \(-0.507605\pi\) | |||||||
\(458\) | 43.9941 | + | 43.9941i | 2.05571 | + | 2.05571i | ||||
\(459\) | −9.07337 | + | 13.0611i | −0.423508 | + | 0.609641i | ||||
\(460\) | 21.5716 | − | 6.34225i | 1.00578 | − | 0.295709i | ||||
\(461\) | 35.1427i | 1.63676i | 0.574680 | + | 0.818378i | \(0.305127\pi\) | ||||
−0.574680 | + | 0.818378i | \(0.694873\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.51567 | + | 3.51567i | −0.163387 | + | 0.163387i | −0.784065 | − | 0.620678i | \(-0.786857\pi\) |
0.620678 | + | 0.784065i | \(0.286857\pi\) | |||||||
\(464\) | 20.4698 | 0.950287 | ||||||||
\(465\) | 0.209474 | + | 2.50078i | 0.00971415 | + | 0.115971i | ||||
\(466\) | −62.9600 | −2.91657 | ||||||||
\(467\) | 21.9431 | − | 21.9431i | 1.01540 | − | 1.01540i | 0.0155247 | − | 0.999879i | \(-0.495058\pi\) |
0.999879 | − | 0.0155247i | \(-0.00494186\pi\) | |||||||
\(468\) | −19.9862 | + | 7.99736i | −0.923860 | + | 0.369678i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −7.58772 | + | 13.9075i | −0.349995 | + | 0.641507i | ||||
\(471\) | 3.59879 | − | 17.5386i | 0.165823 | − | 0.808135i | ||||
\(472\) | 25.6887 | + | 25.6887i | 1.18242 | + | 1.18242i | ||||
\(473\) | 1.19247 | + | 1.19247i | 0.0548297 | + | 0.0548297i | ||||
\(474\) | 3.15065 | − | 15.3546i | 0.144714 | − | 0.705260i | ||||
\(475\) | 1.61041 | − | 1.03655i | 0.0738907 | − | 0.0475604i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 8.77299 | − | 3.51047i | 0.401687 | − | 0.160733i | ||||
\(478\) | 9.23211 | − | 9.23211i | 0.422267 | − | 0.422267i | ||||
\(479\) | 14.6080 | 0.667456 | 0.333728 | − | 0.942669i | \(-0.391693\pi\) | ||||
0.333728 | + | 0.942669i | \(0.391693\pi\) | |||||||
\(480\) | 1.38906 | + | 1.17434i | 0.0634016 | + | 0.0536010i | ||||
\(481\) | 9.40932 | 0.429028 | ||||||||
\(482\) | −13.8815 | + | 13.8815i | −0.632285 | + | 0.632285i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 6.53111i | 0.296869i | ||||||||
\(485\) | 9.22653 | + | 31.3817i | 0.418955 | + | 1.42497i | ||||
\(486\) | −20.1641 | − | 32.2424i | −0.914660 | − | 1.46254i | ||||
\(487\) | 1.17054 | + | 1.17054i | 0.0530421 | + | 0.0530421i | 0.733130 | − | 0.680088i | \(-0.238059\pi\) |
−0.680088 | + | 0.733130i | \(0.738059\pi\) | |||||||
\(488\) | 36.7547 | + | 36.7547i | 1.66381 | + | 1.66381i | ||||
\(489\) | 33.9372 | + | 6.96366i | 1.53469 | + | 0.314908i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 32.6849i | 1.47505i | 0.675321 | + | 0.737524i | \(0.264005\pi\) | ||||
−0.675321 | + | 0.737524i | \(0.735995\pi\) | |||||||
\(492\) | 38.0830 | + | 57.7465i | 1.71691 | + | 2.60341i | ||||
\(493\) | −11.9407 | + | 11.9407i | −0.537781 | + | 0.537781i | ||||
\(494\) | 1.69693 | 0.0763484 | ||||||||
\(495\) | 14.7538 | + | 18.7538i | 0.663134 | + | 0.842922i | ||||
\(496\) | −2.40395 | −0.107941 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −3.20421 | − | 4.85865i | −0.143584 | − | 0.217721i | ||||
\(499\) | 20.1698i | 0.902925i | 0.892290 | + | 0.451463i | \(0.149098\pi\) | ||||
−0.892290 | + | 0.451463i | \(0.850902\pi\) | |||||||
\(500\) | 44.0607 | − | 3.19814i | 1.97045 | − | 0.143025i | ||||
\(501\) | 14.6099 | + | 2.99785i | 0.652724 | + | 0.133934i | ||||
\(502\) | −7.33966 | − | 7.33966i | −0.327585 | − | 0.327585i | ||||
\(503\) | 9.55454 | + | 9.55454i | 0.426016 | + | 0.426016i | 0.887269 | − | 0.461253i | \(-0.152600\pi\) |
−0.461253 | + | 0.887269i | \(0.652600\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.195528 | + | 0.358382i | −0.00870086 | + | 0.0159478i | ||||
\(506\) | − | 22.0832i | − | 0.981720i | ||||||
\(507\) | −14.0285 | + | 9.25158i | −0.623027 | + | 0.410877i | ||||
\(508\) | 11.0369 | − | 11.0369i | 0.489682 | − | 0.489682i | ||||
\(509\) | 4.00950 | 0.177718 | 0.0888591 | − | 0.996044i | \(-0.471678\pi\) | ||||
0.0888591 | + | 0.996044i | \(0.471678\pi\) | |||||||
\(510\) | 28.8165 | − | 2.41378i | 1.27602 | − | 0.106884i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −26.2078 | + | 26.2078i | −1.15823 | + | 1.15823i | ||||
\(513\) | 0.352892 | + | 1.95877i | 0.0155805 | + | 0.0864817i | ||||
\(514\) | 8.83621i | 0.389749i | ||||||||
\(515\) | 10.4239 | − | 3.06474i | 0.459333 | − | 0.135048i | ||||
\(516\) | −0.652184 | + | 3.17840i | −0.0287108 | + | 0.139921i | ||||
\(517\) | 7.30501 | + | 7.30501i | 0.321274 | + | 0.321274i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −0.585297 | + | 2.85243i | −0.0256917 | + | 0.125208i | ||||
\(520\) | 16.9687 | + | 9.25787i | 0.744129 | + | 0.405984i | ||||
\(521\) | 0.133216i | 0.00583632i | 0.999996 | + | 0.00291816i | \(0.000928880\pi\) | ||||
−0.999996 | + | 0.00291816i | \(0.999071\pi\) | |||||||
\(522\) | −15.0013 | − | 37.4896i | −0.656588 | − | 1.64088i | ||||
\(523\) | 20.0282 | − | 20.0282i | 0.875771 | − | 0.875771i | −0.117323 | − | 0.993094i | \(-0.537431\pi\) |
0.993094 | + | 0.117323i | \(0.0374312\pi\) | |||||||
\(524\) | 34.8808 | 1.52377 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 18.8041 | 0.819897 | ||||||||
\(527\) | 1.40230 | − | 1.40230i | 0.0610852 | − | 0.0610852i | ||||
\(528\) | −19.0818 | + | 12.5842i | −0.830430 | + | 0.547657i | ||||
\(529\) | − | 16.5237i | − | 0.718423i | ||||||
\(530\) | −15.0829 | − | 8.22901i | −0.655161 | − | 0.357445i | ||||
\(531\) | 9.01643 | − | 21.0456i | 0.391280 | − | 0.913302i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −12.9792 | − | 12.9792i | −0.562192 | − | 0.562192i | ||||
\(534\) | −12.5803 | − | 2.58138i | −0.544401 | − | 0.111707i | ||||
\(535\) | −23.1156 | + | 6.79620i | −0.999373 | + | 0.293825i | ||||
\(536\) | 61.0588i | 2.63734i | ||||||||
\(537\) | 20.1694 | + | 30.5836i | 0.870376 | + | 1.31978i | ||||
\(538\) | 33.6458 | − | 33.6458i | 1.45057 | − | 1.45057i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −14.4939 | + | 43.5618i | −0.623716 | + | 1.87460i | ||||
\(541\) | 15.0506 | 0.647078 | 0.323539 | − | 0.946215i | \(-0.395127\pi\) | ||||
0.323539 | + | 0.946215i | \(0.395127\pi\) | |||||||
\(542\) | 35.1511 | − | 35.1511i | 1.50987 | − | 1.50987i | ||||
\(543\) | −21.3821 | − | 32.4224i | −0.917594 | − | 1.39138i | ||||
\(544\) | − | 1.43742i | − | 0.0616287i | ||||||
\(545\) | 10.9347 | − | 20.0422i | 0.468390 | − | 0.858513i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −12.4068 | − | 12.4068i | −0.530476 | − | 0.530476i | 0.390238 | − | 0.920714i | \(-0.372393\pi\) |
−0.920714 | + | 0.390238i | \(0.872393\pi\) | |||||||
\(548\) | 33.4106 | + | 33.4106i | 1.42723 | + | 1.42723i | ||||
\(549\) | 12.9005 | − | 30.1115i | 0.550579 | − | 1.28513i | ||||
\(550\) | 9.19289 | − | 42.4030i | 0.391986 | − | 1.80807i | ||||
\(551\) | 2.11335i | 0.0900319i | ||||||||
\(552\) | 17.5159 | − | 11.5515i | 0.745527 | − | 0.491665i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −28.0201 | −1.19046 | ||||||||
\(555\) | 12.9556 | − | 15.3244i | 0.549934 | − | 0.650485i | ||||
\(556\) | −31.7423 | −1.34617 | ||||||||
\(557\) | −13.8400 | + | 13.8400i | −0.586420 | + | 0.586420i | −0.936660 | − | 0.350240i | \(-0.886100\pi\) |
0.350240 | + | 0.936660i | \(0.386100\pi\) | |||||||
\(558\) | 1.76174 | + | 4.40275i | 0.0745803 | + | 0.186383i | ||||
\(559\) | − | 0.860969i | − | 0.0364151i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.79027 | − | 18.4718i | 0.160025 | − | 0.779880i | ||||
\(562\) | 2.01402 | + | 2.01402i | 0.0849565 | + | 0.0849565i | ||||
\(563\) | −20.0132 | − | 20.0132i | −0.843456 | − | 0.843456i | 0.145851 | − | 0.989307i | \(-0.453408\pi\) |
−0.989307 | + | 0.145851i | \(0.953408\pi\) | |||||||
\(564\) | −3.99526 | + | 19.4708i | −0.168231 | + | 0.819868i | ||||
\(565\) | 7.11945 | + | 24.2150i | 0.299517 | + | 1.01873i | ||||
\(566\) | − | 59.5602i | − | 2.50350i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 10.3225 | − | 10.3225i | 0.433122 | − | 0.433122i | ||||
\(569\) | 6.05997 | 0.254047 | 0.127023 | − | 0.991900i | \(-0.459458\pi\) | ||||
0.127023 | + | 0.991900i | \(0.459458\pi\) | |||||||
\(570\) | 2.33648 | − | 2.76369i | 0.0978643 | − | 0.115758i | ||||
\(571\) | −21.3754 | −0.894532 | −0.447266 | − | 0.894401i | \(-0.647602\pi\) | ||||
−0.447266 | + | 0.894401i | \(0.647602\pi\) | |||||||
\(572\) | 18.0484 | − | 18.0484i | 0.754642 | − | 0.754642i | ||||
\(573\) | −27.3303 | + | 18.0239i | −1.14174 | + | 0.752961i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −2.69597 | + | 12.4354i | −0.112430 | + | 0.518591i | ||||
\(576\) | 23.6209 | + | 10.1197i | 0.984204 | + | 0.421656i | ||||
\(577\) | 27.9164 | + | 27.9164i | 1.16218 | + | 1.16218i | 0.983998 | + | 0.178177i | \(0.0570199\pi\) |
0.178177 | + | 0.983998i | \(0.442980\pi\) | |||||||
\(578\) | 13.1663 | + | 13.1663i | 0.547647 | + | 0.547647i | ||||
\(579\) | 26.1239 | + | 5.36042i | 1.08567 | + | 0.222772i | ||||
\(580\) | −23.3474 | + | 42.7934i | −0.969448 | + | 1.77690i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 34.0292 | + | 51.5996i | 1.41056 | + | 2.13887i | ||||
\(583\) | −7.92241 | + | 7.92241i | −0.328113 | + | 0.328113i | ||||
\(584\) | −15.6277 | −0.646678 | ||||||||
\(585\) | 1.44403 | − | 12.0964i | 0.0597032 | − | 0.500123i | ||||
\(586\) | −59.0643 | −2.43993 | ||||||||
\(587\) | −28.9592 | + | 28.9592i | −1.19527 | + | 1.19527i | −0.219708 | + | 0.975566i | \(0.570511\pi\) |
−0.975566 | + | 0.219708i | \(0.929489\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 0.248190i | − | 0.0102265i | ||||||
\(590\) | −39.9411 | + | 11.7431i | −1.64435 | + | 0.483454i | ||||
\(591\) | 1.39693 | + | 0.286640i | 0.0574621 | + | 0.0117908i | ||||
\(592\) | 13.5925 | + | 13.5925i | 0.558649 | + | 0.558649i | ||||
\(593\) | 22.0903 | + | 22.0903i | 0.907139 | + | 0.907139i | 0.996040 | − | 0.0889016i | \(-0.0283357\pi\) |
−0.0889016 | + | 0.996040i | \(0.528336\pi\) | |||||||
\(594\) | 37.0316 | + | 25.7253i | 1.51942 | + | 1.05552i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | − | 70.2592i | − | 2.87793i | ||||||
\(597\) | 6.68482 | − | 4.40854i | 0.273591 | − | 0.180430i | ||||
\(598\) | −7.97212 | + | 7.97212i | −0.326004 | + | 0.326004i | ||||
\(599\) | 16.3694 | 0.668837 | 0.334418 | − | 0.942425i | \(-0.391460\pi\) | ||||
0.334418 | + | 0.942425i | \(0.391460\pi\) | |||||||
\(600\) | 38.4418 | − | 14.8890i | 1.56938 | − | 0.607839i | ||||
\(601\) | 0.0942728 | 0.00384547 | 0.00192273 | − | 0.999998i | \(-0.499388\pi\) | ||||
0.00192273 | + | 0.999998i | \(0.499388\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 35.7269 | − | 14.2959i | 1.45491 | − | 0.582175i | ||||
\(604\) | − | 78.6568i | − | 3.20050i | ||||||
\(605\) | −3.24454 | − | 1.77017i | −0.131910 | − | 0.0719677i | ||||
\(606\) | −0.155065 | + | 0.755705i | −0.00629909 | + | 0.0306984i | ||||
\(607\) | 0.617702 | + | 0.617702i | 0.0250717 | + | 0.0250717i | 0.719532 | − | 0.694460i | \(-0.244357\pi\) |
−0.694460 | + | 0.719532i | \(0.744357\pi\) | |||||||
\(608\) | −0.127203 | − | 0.127203i | −0.00515874 | − | 0.00515874i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −57.1467 | + | 16.8017i | −2.31380 | + | 0.680280i | ||||
\(611\) | − | 5.27426i | − | 0.213374i | ||||||
\(612\) | 33.6835 | − | 13.4783i | 1.36157 | − | 0.544827i | ||||
\(613\) | 0.765820 | − | 0.765820i | 0.0309312 | − | 0.0309312i | −0.691472 | − | 0.722403i | \(-0.743037\pi\) |
0.722403 | + | 0.691472i | \(0.243037\pi\) | |||||||
\(614\) | 32.2765 | 1.30257 | ||||||||
\(615\) | −39.0094 | + | 3.26757i | −1.57301 | + | 0.131761i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −19.6770 | + | 19.6770i | −0.792168 | + | 0.792168i | −0.981846 | − | 0.189679i | \(-0.939255\pi\) |
0.189679 | + | 0.981846i | \(0.439255\pi\) | |||||||
\(618\) | 17.1396 | − | 11.3033i | 0.689457 | − | 0.454687i | ||||
\(619\) | 18.6935i | 0.751357i | 0.926750 | + | 0.375679i | \(0.122590\pi\) | ||||
−0.926750 | + | 0.375679i | \(0.877410\pi\) | |||||||
\(620\) | 2.74190 | − | 5.02562i | 0.110117 | − | 0.201834i | ||||
\(621\) | −10.8601 | − | 7.54436i | −0.435801 | − | 0.302745i | ||||
\(622\) | −4.70222 | − | 4.70222i | −0.188542 | − | 0.188542i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 11.4315 | + | 2.34567i | 0.457628 | + | 0.0939018i | ||||
\(625\) | −10.3533 | + | 22.7554i | −0.414131 | + | 0.910217i | ||||
\(626\) | 63.2200i | 2.52678i | ||||||||
\(627\) | −1.29922 | − | 1.97006i | −0.0518860 | − | 0.0786765i | ||||
\(628\) | −28.8810 | + | 28.8810i | −1.15248 | + | 1.15248i | ||||
\(629\) | −15.8579 | −0.632296 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.63531 | −0.303957 | −0.151978 | − | 0.988384i | \(-0.548564\pi\) | ||||
−0.151978 | + | 0.988384i | \(0.548564\pi\) | |||||||
\(632\) | −12.4864 | + | 12.4864i | −0.496682 | + | 0.496682i | ||||
\(633\) | 21.7549 | + | 32.9877i | 0.864681 | + | 1.31114i | ||||
\(634\) | − | 11.5022i | − | 0.456811i | ||||||
\(635\) | 2.49153 | + | 8.47432i | 0.0988734 | + | 0.336293i | ||||
\(636\) | −21.1164 | − | 4.33292i | −0.837319 | − | 0.171812i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 33.8548 | + | 33.8548i | 1.34033 | + | 1.34033i | ||||
\(639\) | −8.45677 | − | 3.62308i | −0.334545 | − | 0.143327i | ||||
\(640\) | −12.5876 | − | 42.8135i | −0.497568 | − | 1.69235i | ||||
\(641\) | − | 26.6525i | − | 1.05271i | −0.850265 | − | 0.526355i | \(-0.823558\pi\) | ||
0.850265 | − | 0.526355i | \(-0.176442\pi\) | |||||||
\(642\) | −38.0080 | + | 25.0657i | −1.50005 | + | 0.989265i | ||||
\(643\) | 21.9767 | − | 21.9767i | 0.866677 | − | 0.866677i | −0.125426 | − | 0.992103i | \(-0.540030\pi\) |
0.992103 | + | 0.125426i | \(0.0400298\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1.40221 | − | 1.18546i | −0.0552120 | − | 0.0466774i | ||||
\(646\) | −2.85990 | −0.112521 | ||||||||
\(647\) | −16.7193 | + | 16.7193i | −0.657303 | + | 0.657303i | −0.954741 | − | 0.297438i | \(-0.903868\pi\) |
0.297438 | + | 0.954741i | \(0.403868\pi\) | |||||||
\(648\) | −1.03390 | + | 42.8292i | −0.0406154 | + | 1.68249i | ||||
\(649\) | 27.1474i | 1.06563i | ||||||||
\(650\) | −18.6263 | + | 11.9890i | −0.730583 | + | 0.470246i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −55.8848 | − | 55.8848i | −2.18862 | − | 2.18862i | ||||
\(653\) | 19.2399 | + | 19.2399i | 0.752915 | + | 0.752915i | 0.975022 | − | 0.222107i | \(-0.0712934\pi\) |
−0.222107 | + | 0.975022i | \(0.571293\pi\) | |||||||
\(654\) | 8.67186 | − | 42.2621i | 0.339097 | − | 1.65258i | ||||
\(655\) | −9.45398 | + | 17.3282i | −0.369397 | + | 0.677068i | ||||
\(656\) | − | 37.4990i | − | 1.46409i | ||||||
\(657\) | 3.65897 | + | 9.14410i | 0.142750 | + | 0.356745i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 43.7515 | 1.70432 | 0.852158 | − | 0.523285i | \(-0.175294\pi\) | ||||
0.852158 | + | 0.523285i | \(0.175294\pi\) | |||||||
\(660\) | −4.54376 | − | 54.2450i | −0.176866 | − | 2.11149i | ||||
\(661\) | −8.65504 | −0.336642 | −0.168321 | − | 0.985732i | \(-0.553835\pi\) | ||||
−0.168321 | + | 0.985732i | \(0.553835\pi\) | |||||||
\(662\) | 17.4436 | − | 17.4436i | 0.677965 | − | 0.677965i | ||||
\(663\) | −8.03668 | + | 5.30007i | −0.312119 | + | 0.205838i | ||||
\(664\) | 6.55674i | 0.254451i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 14.9329 | − | 34.8554i | 0.578638 | − | 1.35062i | ||||
\(667\) | −9.92848 | − | 9.92848i | −0.384432 | − | 0.384432i | ||||
\(668\) | −24.0583 | − | 24.0583i | −0.930845 | − | 0.930845i | ||||
\(669\) | 22.8222 | + | 4.68294i | 0.882357 | + | 0.181053i | ||||
\(670\) | −61.4234 | − | 33.5116i | −2.37299 | − | 1.29467i | ||||
\(671\) | 38.8418i | 1.49947i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 6.15620 | − | 6.15620i | 0.237304 | − | 0.237304i | −0.578429 | − | 0.815733i | \(-0.696334\pi\) |
0.815733 | + | 0.578429i | \(0.196334\pi\) | |||||||
\(674\) | 30.3174 | 1.16778 | ||||||||
\(675\) | −17.7124 | − | 19.0071i | −0.681750 | − | 0.731585i | ||||
\(676\) | 38.3355 | 1.47444 | ||||||||
\(677\) | 3.82866 | − | 3.82866i | 0.147147 | − | 0.147147i | −0.629695 | − | 0.776842i | \(-0.716820\pi\) |
0.776842 | + | 0.629695i | \(0.216820\pi\) | |||||||
\(678\) | 26.2579 | + | 39.8157i | 1.00843 | + | 1.52911i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −28.5981 | − | 15.6026i | −1.09669 | − | 0.598334i | ||||
\(681\) | −3.74897 | − | 0.769261i | −0.143661 | − | 0.0294782i | ||||
\(682\) | −3.97588 | − | 3.97588i | −0.152244 | − | 0.152244i | ||||
\(683\) | −5.04668 | − | 5.04668i | −0.193106 | − | 0.193106i | 0.603931 | − | 0.797037i | \(-0.293600\pi\) |
−0.797037 | + | 0.603931i | \(0.793600\pi\) | |||||||
\(684\) | 1.78804 | − | 4.17353i | 0.0683673 | − | 0.159579i | ||||
\(685\) | −25.6533 | + | 7.54232i | −0.980163 | + | 0.288177i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −36.8766 | + | 24.3196i | −1.40693 | + | 0.927850i | ||||
\(688\) | 1.24374 | − | 1.24374i | 0.0474171 | − | 0.0474171i | ||||
\(689\) | 5.72003 | 0.217916 | ||||||||
\(690\) | 2.00702 | + | 23.9605i | 0.0764058 | + | 0.912159i | ||||
\(691\) | 37.1246 | 1.41229 | 0.706144 | − | 0.708068i | \(-0.250433\pi\) | ||||
0.706144 | + | 0.708068i | \(0.250433\pi\) | |||||||
\(692\) | 4.69713 | − | 4.69713i | 0.178558 | − | 0.178558i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 26.9534i | 1.02314i | ||||||||
\(695\) | 8.60332 | − | 15.7690i | 0.326343 | − | 0.598153i | ||||
\(696\) | −9.14379 | + | 44.5620i | −0.346594 | + | 1.68912i | ||||
\(697\) | 21.8744 | + | 21.8744i | 0.828550 | + | 0.828550i | ||||
\(698\) | −11.8118 | − | 11.8118i | −0.447082 | − | 0.447082i | ||||
\(699\) | 8.98517 | − | 43.7890i | 0.339850 | − | 1.65625i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 23.4224i | 0.884654i | 0.896854 | + | 0.442327i | \(0.145847\pi\) | ||||
−0.896854 | + | 0.442327i | \(0.854153\pi\) | |||||||
\(702\) | −4.08160 | − | 22.6554i | −0.154050 | − | 0.855074i | ||||
\(703\) | −1.40333 | + | 1.40333i | −0.0529275 | + | 0.0529275i | ||||
\(704\) | −30.4693 | −1.14836 | ||||||||
\(705\) | −8.58989 | − | 7.26207i | −0.323514 | − | 0.273505i | ||||
\(706\) | −54.3705 | −2.04626 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −43.6031 | + | 28.7556i | −1.63870 | + | 1.08070i | ||||
\(709\) | 11.1739i | 0.419643i | 0.977740 | + | 0.209822i | \(0.0672883\pi\) | ||||
−0.977740 | + | 0.209822i | \(0.932712\pi\) | |||||||
\(710\) | 4.71872 | + | 16.0495i | 0.177090 | + | 0.602329i | ||||
\(711\) | 10.2296 | + | 4.38258i | 0.383638 | + | 0.164360i | ||||
\(712\) | 10.2303 | + | 10.2303i | 0.383397 | + | 0.383397i | ||||
\(713\) | 1.16599 | + | 1.16599i | 0.0436667 | + | 0.0436667i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.07436 | + | 13.8579i | 0.152373 | + | 0.518257i | ||||
\(716\) | − | 83.5756i | − | 3.12337i | ||||||
\(717\) | 5.10344 | + | 7.73851i | 0.190591 | + | 0.289000i | ||||
\(718\) | −46.1811 | + | 46.1811i | −1.72347 | + | 1.72347i | ||||
\(719\) | −45.9771 | −1.71466 | −0.857328 | − | 0.514770i | \(-0.827877\pi\) | ||||
−0.857328 | + | 0.514770i | \(0.827877\pi\) | |||||||
\(720\) | 19.5602 | − | 15.3882i | 0.728966 | − | 0.573483i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 32.5220 | − | 32.5220i | 1.21034 | − | 1.21034i | ||||
\(723\) | −7.67358 | − | 11.6357i | −0.285384 | − | 0.432736i | ||||
\(724\) | 88.6005i | 3.29281i | ||||||||
\(725\) | −14.9311 | − | 23.1972i | −0.554525 | − | 0.861522i | ||||
\(726\) | −6.84163 | − | 1.40385i | −0.253917 | − | 0.0521018i | ||||
\(727\) | −35.2560 | − | 35.2560i | −1.30757 | − | 1.30757i | −0.923162 | − | 0.384411i | \(-0.874405\pi\) |
−0.384411 | − | 0.923162i | \(-0.625595\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 25.3024 | − | 9.42280i | 0.937125 | − | 0.348993i | ||||
\(730\) | 8.57712 | − | 15.7210i | 0.317453 | − | 0.581860i | ||||
\(731\) | 1.45102i | 0.0536681i | ||||||||
\(732\) | −62.3861 | + | 41.1428i | −2.30586 | + | 1.52068i | ||||
\(733\) | 30.8363 | − | 30.8363i | 1.13897 | − | 1.13897i | 0.150330 | − | 0.988636i | \(-0.451967\pi\) |
0.988636 | − | 0.150330i | \(-0.0480335\pi\) | |||||||
\(734\) | −41.0140 | −1.51386 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.19519 | 0.0440552 | ||||||||
\(737\) | −32.2630 | + | 32.2630i | −1.18842 | + | 1.18842i | ||||
\(738\) | −68.6779 | + | 27.4811i | −2.52807 | + | 1.01159i | ||||
\(739\) | 15.3706i | 0.565417i | 0.959206 | + | 0.282709i | \(0.0912329\pi\) | ||||
−0.959206 | + | 0.282709i | \(0.908767\pi\) | |||||||
\(740\) | −43.9194 | + | 12.9127i | −1.61451 | + | 0.474681i | ||||
\(741\) | −0.242173 | + | 1.18022i | −0.00889643 | + | 0.0433565i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −34.3837 | − | 34.3837i | −1.26141 | − | 1.26141i | −0.950408 | − | 0.311007i | \(-0.899334\pi\) |
−0.311007 | − | 0.950408i | \(-0.600666\pi\) | |||||||
\(744\) | 1.07384 | − | 5.23332i | 0.0393688 | − | 0.191863i | ||||
\(745\) | 34.9036 | + | 19.0428i | 1.27877 | + | 0.697675i | ||||
\(746\) | − | 25.5930i | − | 0.937028i | ||||||
\(747\) | 3.83649 | − | 1.53515i | 0.140370 | − | 0.0561684i | ||||
\(748\) | −30.4177 | + | 30.4177i | −1.11218 | + | 1.11218i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −6.12058 | + | 46.8430i | −0.223492 | + | 1.71046i | ||||
\(751\) | 21.7629 | 0.794138 | 0.397069 | − | 0.917789i | \(-0.370027\pi\) | ||||
0.397069 | + | 0.917789i | \(0.370027\pi\) | |||||||
\(752\) | 7.61911 | − | 7.61911i | 0.277840 | − | 0.277840i | ||||
\(753\) | 6.15223 | − | 4.05731i | 0.224200 | − | 0.147856i | ||||
\(754\) | − | 24.4434i | − | 0.890176i | ||||||
\(755\) | 39.0754 | + | 21.3189i | 1.42210 | + | 0.775873i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −20.4109 | − | 20.4109i | −0.741847 | − | 0.741847i | 0.231086 | − | 0.972933i | \(-0.425772\pi\) |
−0.972933 | + | 0.231086i | \(0.925772\pi\) | |||||||
\(758\) | −38.0794 | − | 38.0794i | −1.38311 | − | 1.38311i | ||||
\(759\) | 15.3590 | + | 3.15155i | 0.557496 | + | 0.114394i | ||||
\(760\) | −3.91150 | + | 1.15002i | −0.141885 | + | 0.0417155i | ||||
\(761\) | 29.7128i | 1.07709i | 0.842598 | + | 0.538544i | \(0.181025\pi\) | ||||
−0.842598 | + | 0.538544i | \(0.818975\pi\) | |||||||
\(762\) | 9.18925 | + | 13.9340i | 0.332891 | + | 0.504774i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 74.6853 | 2.70202 | ||||||||
\(765\) | −2.43368 | + | 20.3865i | −0.0879898 | + | 0.737075i | ||||
\(766\) | −49.0589 | −1.77257 | ||||||||
\(767\) | 9.80030 | − | 9.80030i | 0.353868 | − | 0.353868i | ||||
\(768\) | −30.0893 | − | 45.6254i | −1.08575 | − | 1.64636i | ||||
\(769\) | 28.4557i | 1.02614i | 0.858347 | + | 0.513070i | \(0.171492\pi\) | ||||
−0.858347 | + | 0.513070i | \(0.828508\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −6.14563 | − | 1.26104i | −0.221329 | − | 0.0454151i | ||||
\(772\) | −43.0185 | − | 43.0185i | −1.54827 | − | 1.54827i | ||||
\(773\) | −12.4237 | − | 12.4237i | −0.446848 | − | 0.446848i | 0.447457 | − | 0.894305i | \(-0.352330\pi\) |
−0.894305 | + | 0.447457i | \(0.852330\pi\) | |||||||
\(774\) | −3.18933 | − | 1.36639i | −0.114638 | − | 0.0491137i | ||||
\(775\) | 1.75349 | + | 2.72426i | 0.0629872 | + | 0.0978581i | ||||
\(776\) | − | 69.6336i | − | 2.49970i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 2.37726 | − | 2.37726i | 0.0852290 | − | 0.0852290i | ||||
\(779\) | 3.87149 | 0.138711 | ||||||||
\(780\) | −17.9423 | + | 21.2229i | −0.642438 | + | 0.759903i | ||||
\(781\) | 10.9087 | 0.390342 | ||||||||
\(782\) | 13.4357 | − | 13.4357i | 0.480461 | − | 0.480461i | ||||
\(783\) | 28.2151 | − | 5.08323i | 1.00832 | − | 0.181660i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −6.51977 | − | 22.1754i | −0.232701 | − | 0.791473i | ||||
\(786\) | −7.49757 | + | 36.5392i | −0.267430 | + | 1.30331i | ||||
\(787\) | −11.4029 | − | 11.4029i | −0.406468 | − | 0.406468i | 0.474037 | − | 0.880505i | \(-0.342796\pi\) |
−0.880505 | + | 0.474037i | \(0.842796\pi\) | |||||||
\(788\) | −2.30034 | − | 2.30034i | −0.0819463 | − | 0.0819463i | ||||
\(789\) | −2.68358 | + | 13.0783i | −0.0955378 | + | 0.465601i | ||||
\(790\) | −5.70790 | − | 19.4140i | −0.203078 | − | 0.690719i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −18.8715 | − | 47.1617i | −0.670571 | − | 1.67582i | ||||
\(793\) | 14.0220 | − | 14.0220i | 0.497936 | − | 0.497936i | ||||
\(794\) | −54.3442 | −1.92860 | ||||||||
\(795\) | 7.87584 | − | 9.31588i | 0.279327 | − | 0.330400i | ||||
\(796\) | −18.2676 | −0.647476 | ||||||||
\(797\) | 7.99994 | − | 7.99994i | 0.283373 | − | 0.283373i | −0.551080 | − | 0.834452i | \(-0.685784\pi\) |
0.834452 | + | 0.551080i | \(0.185784\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 8.88893i | 0.314468i | ||||||||
\(800\) | 2.29493 | + | 0.497537i | 0.0811382 | + | 0.0175906i | ||||
\(801\) | 3.59072 | − | 8.38124i | 0.126872 | − | 0.296136i | ||||
\(802\) | −14.9667 | − | 14.9667i | −0.528493 | − | 0.528493i | ||||
\(803\) | −8.25754 | − | 8.25754i | −0.291402 | − | 0.291402i | ||||
\(804\) | −85.9938 | − | 17.6453i | −3.03277 | − | 0.622301i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 2.87061i | 0.101113i | ||||||||
\(807\) | 18.5991 | + | 28.2025i | 0.654721 | + | 0.992774i | ||||
\(808\) | 0.614542 | − | 0.614542i | 0.0216195 | − | 0.0216195i | ||||
\(809\) | 32.8981 | 1.15663 | 0.578317 | − | 0.815812i | \(-0.303710\pi\) | ||||
0.578317 | + | 0.815812i | \(0.303710\pi\) | |||||||
\(810\) | −42.5175 | − | 24.5465i | −1.49391 | − | 0.862476i | ||||
\(811\) | 26.4235 | 0.927856 | 0.463928 | − | 0.885873i | \(-0.346440\pi\) | ||||
0.463928 | + | 0.885873i | \(0.346440\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 19.4313 | + | 29.4642i | 0.681484 | + | 1.03336i | ||||
\(814\) | 44.9611i | 1.57589i | ||||||||
\(815\) | 42.9094 | − | 12.6158i | 1.50305 | − | 0.441912i | ||||
\(816\) | −19.2660 | − | 3.95324i | −0.674446 | − | 0.138391i | ||||
\(817\) | 0.128407 | + | 0.128407i | 0.00449239 | + | 0.00449239i | ||||
\(818\) | 13.5066 | + | 13.5066i | 0.472248 | + | 0.472248i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 78.3941 | + | 42.7705i | 2.73764 | + | 1.49361i | ||||
\(821\) | 22.3652i | 0.780549i | 0.920699 | + | 0.390275i | \(0.127620\pi\) | ||||
−0.920699 | + | 0.390275i | \(0.872380\pi\) | |||||||
\(822\) | −42.1806 | + | 27.8175i | −1.47122 | + | 0.970248i | ||||
\(823\) | −19.3245 | + | 19.3245i | −0.673610 | + | 0.673610i | −0.958546 | − | 0.284936i | \(-0.908028\pi\) |
0.284936 | + | 0.958546i | \(0.408028\pi\) | |||||||
\(824\) | −23.1299 | −0.805769 | ||||||||
\(825\) | 28.1795 | + | 12.4451i | 0.981086 | + | 0.433284i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 34.1284 | − | 34.1284i | 1.18676 | − | 1.18676i | 0.208804 | − | 0.977958i | \(-0.433043\pi\) |
0.977958 | − | 0.208804i | \(-0.0669569\pi\) | |||||||
\(828\) | 11.2070 | + | 28.0073i | 0.389469 | + | 0.973320i | ||||
\(829\) | − | 13.3133i | − | 0.462391i | −0.972907 | − | 0.231196i | \(-0.925736\pi\) | ||
0.972907 | − | 0.231196i | \(-0.0742637\pi\) | |||||||
\(830\) | −6.59589 | − | 3.59861i | −0.228947 | − | 0.124910i | ||||
\(831\) | 3.99882 | − | 19.4881i | 0.138717 | − | 0.676035i | ||||
\(832\) | 10.9995 | + | 10.9995i | 0.381340 | + | 0.381340i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 6.82295 | − | 33.2515i | 0.236260 | − | 1.15140i | ||||
\(835\) | 18.4725 | − | 5.43109i | 0.639266 | − | 0.187950i | ||||
\(836\) | 5.38356i | 0.186194i | ||||||||
\(837\) | −3.31355 | + | 0.596970i | −0.114533 | + | 0.0206343i | ||||
\(838\) | 29.7713 | − | 29.7713i | 1.02843 | − | 1.02843i | ||||
\(839\) | −25.4141 | −0.877392 | −0.438696 | − | 0.898636i | \(-0.644560\pi\) | ||||
−0.438696 | + | 0.898636i | \(0.644560\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1.44184 | 0.0497185 | ||||||||
\(842\) | −52.1590 | + | 52.1590i | −1.79752 | + | 1.79752i | ||||
\(843\) | −1.68819 | + | 1.11334i | −0.0581443 | + | 0.0383454i | ||||
\(844\) | − | 90.1453i | − | 3.10293i | ||||||
\(845\) | −10.3903 | + | 19.0444i | −0.357438 | + | 0.655149i | ||||
\(846\) | −19.5377 | − | 8.37043i | −0.671721 | − | 0.287781i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 8.26305 | + | 8.26305i | 0.283754 | + | 0.283754i | ||||
\(849\) | 41.4244 | + | 8.49998i | 1.42168 | + | 0.291719i | ||||
\(850\) | 31.3916 | − | 20.2055i | 1.07672 | − | 0.693042i | ||||
\(851\) | − | 13.1856i | − | 0.451996i | ||||||
\(852\) | 11.5549 | + | 17.5210i | 0.395864 | + | 0.600261i | ||||
\(853\) | −33.5959 | + | 33.5959i | −1.15030 | + | 1.15030i | −0.163811 | + | 0.986492i | \(0.552379\pi\) |
−0.986492 | + | 0.163811i | \(0.947621\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 1.58871 | + | 2.01944i | 0.0543328 | + | 0.0690635i | ||||
\(856\) | 51.2917 | 1.75311 | ||||||||
\(857\) | 4.56597 | − | 4.56597i | 0.155971 | − | 0.155971i | −0.624808 | − | 0.780779i | \(-0.714823\pi\) |
0.780779 | + | 0.624808i | \(0.214823\pi\) | |||||||
\(858\) | 15.0270 | + | 22.7860i | 0.513015 | + | 0.777901i | ||||
\(859\) | 23.4242i | 0.799224i | 0.916684 | + | 0.399612i | \(0.130855\pi\) | ||||
−0.916684 | + | 0.399612i | \(0.869145\pi\) | |||||||
\(860\) | 1.18154 | + | 4.01870i | 0.0402901 | + | 0.137037i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 35.2242 | + | 35.2242i | 1.19974 | + | 1.19974i | ||||
\(863\) | −11.6054 | − | 11.6054i | −0.395054 | − | 0.395054i | 0.481430 | − | 0.876484i | \(-0.340117\pi\) |
−0.876484 | + | 0.481430i | \(0.840117\pi\) | |||||||
\(864\) | −1.39230 | + | 2.00422i | −0.0473671 | + | 0.0681850i | ||||
\(865\) | 1.06036 | + | 3.60655i | 0.0360533 | + | 0.122626i | ||||
\(866\) | 49.7969i | 1.69217i | ||||||||
\(867\) | −11.0362 | + | 7.27825i | −0.374810 | + | 0.247182i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −13.1954 | −0.447624 | ||||||||
\(870\) | −39.8096 | − | 33.6558i | −1.34967 | − | 1.14104i | ||||
\(871\) | 23.2941 | 0.789290 | ||||||||
\(872\) | −34.3676 | + | 34.3676i | −1.16384 | + | 1.16384i | ||||
\(873\) | −40.7442 | + | 16.3036i | −1.37898 | + | 0.551793i | ||||
\(874\) | − | 2.37796i | − | 0.0804357i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 4.51622 | − | 22.0097i | 0.152589 | − | 0.743637i | ||||
\(877\) | 23.9898 | + | 23.9898i | 0.810080 | + | 0.810080i | 0.984645 | − | 0.174566i | \(-0.0558522\pi\) |
−0.174566 | + | 0.984645i | \(0.555852\pi\) | |||||||
\(878\) | −25.0866 | − | 25.0866i | −0.846632 | − | 0.846632i | ||||
\(879\) | 8.42921 | − | 41.0795i | 0.284310 | − | 1.38558i | ||||
\(880\) | −14.1332 | + | 25.9047i | −0.476429 | + | 0.873246i | ||||
\(881\) | 14.2708i | 0.480796i | 0.970674 | + | 0.240398i | \(0.0772780\pi\) | ||||
−0.970674 | + | 0.240398i | \(0.922722\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −26.8398 | + | 26.8398i | −0.903230 | + | 0.903230i | −0.995714 | − | 0.0924838i | \(-0.970519\pi\) |
0.0924838 | + | 0.995714i | \(0.470519\pi\) | |||||||
\(884\) | 21.9618 | 0.738654 | ||||||||
\(885\) | −2.46727 | − | 29.4551i | −0.0829363 | − | 0.990122i | ||||
\(886\) | 25.0304 | 0.840912 | ||||||||
\(887\) | −28.3613 | + | 28.3613i | −0.952280 | + | 0.952280i | −0.998912 | − | 0.0466324i | \(-0.985151\pi\) |
0.0466324 | + | 0.998912i | \(0.485151\pi\) | |||||||
\(888\) | −35.6621 | + | 23.5187i | −1.19674 | + | 0.789235i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −15.9062 | + | 4.67658i | −0.533177 | + | 0.156759i | ||||
\(891\) | −23.1769 | + | 22.0843i | −0.776456 | + | 0.739852i | ||||
\(892\) | −37.5815 | − | 37.5815i | −1.25832 | − | 1.25832i | ||||
\(893\) | 0.786616 | + | 0.786616i | 0.0263231 | + | 0.0263231i | ||||
\(894\) | 73.5997 | + | 15.1021i | 2.46154 | + | 0.505090i | ||||
\(895\) | 41.5189 | + | 22.6521i | 1.38783 | + | 0.757175i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −4.40693 | − | 6.68237i | −0.147143 | − | 0.223118i | ||||
\(898\) | −11.5599 | + | 11.5599i | −0.385759 | + | 0.385759i | ||||
\(899\) | −3.57506 | −0.119235 | ||||||||
\(900\) | 9.86002 | + | 58.4432i | 0.328667 | + | 1.94811i | ||||
\(901\) | −9.64019 | −0.321161 | ||||||||
\(902\) | 62.0193 | − | 62.0193i | 2.06502 | − | 2.06502i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | − | 53.7313i | − | 1.78707i | ||||||
\(905\) | −44.0152 | − | 24.0140i | −1.46312 | − | 0.798252i | ||||
\(906\) | 82.3965 | + | 16.9072i | 2.73744 | + | 0.561703i | ||||
\(907\) | −4.02817 | − | 4.02817i | −0.133753 | − | 0.133753i | 0.637061 | − | 0.770814i | \(-0.280150\pi\) |
−0.770814 | + | 0.637061i | \(0.780150\pi\) | |||||||
\(908\) | 6.17347 | + | 6.17347i | 0.204874 | + | 0.204874i | ||||
\(909\) | −0.503467 | − | 0.215697i | −0.0166989 | − | 0.00715422i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 11.4287i | 0.378651i | 0.981914 | + | 0.189326i | \(0.0606301\pi\) | ||||
−0.981914 | + | 0.189326i | \(0.939370\pi\) | |||||||
\(912\) | −2.05476 | + | 1.35509i | −0.0680400 | + | 0.0448714i | ||||
\(913\) | −3.46453 | + | 3.46453i | −0.114659 | + | 0.114659i | ||||
\(914\) | −75.4937 | −2.49711 | ||||||||
\(915\) | −3.53010 | − | 42.1436i | −0.116702 | − | 1.39322i | ||||
\(916\) | 100.772 | 3.32962 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 6.87889 | + | 38.1821i | 0.227037 | + | 1.26020i | ||||
\(919\) | − | 37.2364i | − | 1.22832i | −0.789183 | − | 0.614158i | \(-0.789496\pi\) | ||
0.789183 | − | 0.614158i | \(-0.210504\pi\) | |||||||
\(920\) | 12.9734 | − | 23.7789i | 0.427719 | − | 0.783966i | ||||
\(921\) | −4.60625 | + | 22.4484i | −0.151781 | + | 0.739702i | ||||
\(922\) | 60.6212 | + | 60.6212i | 1.99645 | + | 1.99645i | ||||
\(923\) | −3.93806 | − | 3.93806i | −0.129623 | − | 0.129623i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 5.48894 | − | 25.3182i | 0.180475 | − | 0.832458i | ||||
\(926\) | 12.1291i | 0.398587i | ||||||||
\(927\) | 5.41549 | + | 13.5338i | 0.177868 | + | 0.444509i | ||||
\(928\) | −1.83229 | + | 1.83229i | −0.0601479 | + | 0.0601479i | ||||
\(929\) | 3.50831 | 0.115104 | 0.0575519 | − | 0.998343i | \(-0.481671\pi\) | ||||
0.0575519 | + | 0.998343i | \(0.481671\pi\) | |||||||
\(930\) | 4.67520 | + | 3.95251i | 0.153306 | + | 0.129608i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −72.1078 | + | 72.1078i | −2.36197 | + | 2.36197i | ||||
\(933\) | 3.94148 | − | 2.59935i | 0.129038 | − | 0.0850990i | ||||
\(934\) | − | 75.7038i | − | 2.47710i | ||||||
\(935\) | −6.86669 | − | 23.3553i | −0.224565 | − | 0.763800i | ||||
\(936\) | −10.2129 | + | 23.8382i | −0.333818 | + | 0.779177i | ||||
\(937\) | 8.69968 | + | 8.69968i | 0.284206 | + | 0.284206i | 0.834784 | − | 0.550578i | \(-0.185593\pi\) |
−0.550578 | + | 0.834784i | \(0.685593\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −43.9698 | − | 9.02227i | −1.43490 | − | 0.294431i | ||||
\(940\) | 7.23805 | + | 24.6184i | 0.236079 | + | 0.802964i | ||||
\(941\) | 41.6063i | 1.35633i | 0.734911 | + | 0.678164i | \(0.237224\pi\) | ||||
−0.734911 | + | 0.678164i | \(0.762776\pi\) | |||||||
\(942\) | −24.0462 | − | 36.4620i | −0.783467 | − | 1.18800i | ||||
\(943\) | −18.1882 | + | 18.1882i | −0.592289 | + | 0.592289i | ||||
\(944\) | 28.3147 | 0.921564 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.11402 | 0.133758 | ||||||||
\(947\) | 38.9270 | − | 38.9270i | 1.26496 | − | 1.26496i | 0.316298 | − | 0.948660i | \(-0.397560\pi\) |
0.948660 | − | 0.316298i | \(-0.102440\pi\) | |||||||
\(948\) | −13.9771 | − | 21.1940i | −0.453956 | − | 0.688348i | ||||
\(949\) | 5.96200i | 0.193535i | ||||||||
\(950\) | 0.989906 | − | 4.56603i | 0.0321168 | − | 0.148141i | ||||
\(951\) | 7.99984 | + | 1.64151i | 0.259413 | + | 0.0532295i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 19.2607 | + | 19.2607i | 0.623916 | + | 0.623916i | 0.946531 | − | 0.322614i | \(-0.104562\pi\) |
−0.322614 | + | 0.946531i | \(0.604562\pi\) | |||||||
\(954\) | 9.07787 | − | 21.1890i | 0.293907 | − | 0.686019i | ||||
\(955\) | −20.2425 | + | 37.1024i | −0.655031 | + | 1.20061i | ||||
\(956\) | − | 21.1470i | − | 0.683942i | ||||||
\(957\) | −28.3777 | + | 18.7147i | −0.917321 | + | 0.604960i | ||||
\(958\) | 25.1988 | − | 25.1988i | 0.814137 | − | 0.814137i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 33.0594 | − | 2.76918i | 1.06699 | − | 0.0893748i | ||||
\(961\) | −30.5801 | −0.986456 | ||||||||
\(962\) | 16.2311 | − | 16.2311i | 0.523312 | − | 0.523312i | ||||
\(963\) | −12.0091 | − | 30.0119i | −0.386988 | − | 0.967120i | ||||
\(964\) | 31.7968i | 1.02411i | ||||||||
\(965\) | 33.0304 | − | 9.71126i | 1.06329 | − | 0.312616i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 30.3993 | + | 30.3993i | 0.977576 | + | 0.977576i | 0.999754 | − | 0.0221785i | \(-0.00706020\pi\) |
−0.0221785 | + | 0.999754i | \(0.507060\pi\) | |||||||
\(968\) | 5.56363 | + | 5.56363i | 0.178822 | + | 0.178822i | ||||
\(969\) | 0.408143 | − | 1.98907i | 0.0131114 | − | 0.0638982i | ||||
\(970\) | 70.0494 | + | 38.2178i | 2.24915 | + | 1.22710i | ||||
\(971\) | − | 3.52966i | − | 0.113272i | −0.998395 | − | 0.0566360i | \(-0.981963\pi\) | ||
0.998395 | − | 0.0566360i | \(-0.0180375\pi\) | |||||||
\(972\) | −60.0208 | − | 13.8333i | −1.92517 | − | 0.443702i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 4.03836 | 0.129397 | ||||||||
\(975\) | −5.68017 | − | 14.6656i | −0.181911 | − | 0.469676i | ||||
\(976\) | 40.5119 | 1.29675 | ||||||||
\(977\) | −28.3152 | + | 28.3152i | −0.905884 | + | 0.905884i | −0.995937 | − | 0.0900531i | \(-0.971296\pi\) |
0.0900531 | + | 0.995937i | \(0.471296\pi\) | |||||||
\(978\) | 70.5542 | − | 46.5295i | 2.25607 | − | 1.48785i | ||||
\(979\) | 10.8112i | 0.345528i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 28.1559 | + | 12.0626i | 0.898948 | + | 0.385131i | ||||
\(982\) | 56.3816 | + | 56.3816i | 1.79921 | + | 1.79921i | ||||
\(983\) | 26.1433 | + | 26.1433i | 0.833843 | + | 0.833843i | 0.988040 | − | 0.154197i | \(-0.0492791\pi\) |
−0.154197 | + | 0.988040i | \(0.549279\pi\) | |||||||
\(984\) | 81.6340 | + | 16.7507i | 2.60240 | + | 0.533992i | ||||
\(985\) | 1.76625 | − | 0.519294i | 0.0562774 | − | 0.0165461i | ||||
\(986\) | 41.1954i | 1.31193i | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.94348 | − | 1.94348i | 0.0618304 | − | 0.0618304i | ||||
\(989\) | −1.20650 | −0.0383646 | ||||||||
\(990\) | 57.8008 | + | 6.90009i | 1.83703 | + | 0.219299i | ||||
\(991\) | −40.1121 | −1.27420 | −0.637101 | − | 0.770780i | \(-0.719867\pi\) | ||||
−0.637101 | + | 0.770780i | \(0.719867\pi\) | |||||||
\(992\) | 0.215182 | − | 0.215182i | 0.00683205 | − | 0.00683205i | ||||
\(993\) | 9.64268 | + | 14.6215i | 0.306001 | + | 0.464000i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 4.95118 | − | 9.07501i | 0.156963 | − | 0.287697i | ||||
\(996\) | −9.23436 | − | 1.89482i | −0.292602 | − | 0.0600397i | ||||
\(997\) | −25.9693 | − | 25.9693i | −0.822456 | − | 0.822456i | 0.164004 | − | 0.986460i | \(-0.447559\pi\) |
−0.986460 | + | 0.164004i | \(0.947559\pi\) | |||||||
\(998\) | 34.7930 | + | 34.7930i | 1.10135 | + | 1.10135i | ||||
\(999\) | 22.1110 | + | 15.3602i | 0.699561 | + | 0.485975i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))