Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [112,2,Mod(3,112)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(112, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("112.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 112 = 2^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 112.v (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.894324502638\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 19.4 | ||
Character | \(\chi\) | \(=\) | 112.19 |
Dual form | 112.2.v.a.59.4 |
$q$-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 \(\left(\mathbb{Z}/112\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) | \(85\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.615385 | − | 1.27330i | −0.435143 | − | 0.900361i | ||||
\(3\) | −0.237312 | + | 0.885661i | −0.137012 | + | 0.511337i | 0.862969 | + | 0.505256i | \(0.168602\pi\) |
−0.999982 | + | 0.00608034i | \(0.998065\pi\) | |||||||
\(4\) | −1.24260 | + | 1.56714i | −0.621301 | + | 0.783572i | ||||
\(5\) | 3.05579 | − | 0.818796i | 1.36659 | − | 0.366177i | 0.500358 | − | 0.865818i | \(-0.333202\pi\) |
0.866232 | + | 0.499642i | \(0.166535\pi\) | |||||||
\(6\) | 1.27375 | − | 0.242853i | 0.520008 | − | 0.0991442i | ||||
\(7\) | −0.640837 | − | 2.56697i | −0.242214 | − | 0.970223i | ||||
\(8\) | 2.76013 | + | 0.617811i | 0.975853 | + | 0.218429i | ||||
\(9\) | 1.87000 | + | 1.07964i | 0.623332 | + | 0.359881i | ||||
\(10\) | −2.92306 | − | 3.38707i | −0.924354 | − | 1.07109i | ||||
\(11\) | 0.319833 | − | 1.19363i | 0.0964334 | − | 0.359894i | −0.900799 | − | 0.434235i | \(-0.857019\pi\) |
0.997233 | + | 0.0743409i | \(0.0236853\pi\) | |||||||
\(12\) | −1.09307 | − | 1.47243i | −0.315543 | − | 0.425053i | ||||
\(13\) | 0.430348 | − | 0.430348i | 0.119357 | − | 0.119357i | −0.644905 | − | 0.764262i | \(-0.723103\pi\) |
0.764262 | + | 0.644905i | \(0.223103\pi\) | |||||||
\(14\) | −2.87417 | + | 2.39565i | −0.768154 | + | 0.640266i | ||||
\(15\) | 2.90070i | 0.748959i | ||||||||
\(16\) | −0.911882 | − | 3.89467i | −0.227971 | − | 0.973668i | ||||
\(17\) | −5.14136 | + | 2.96837i | −1.24696 | + | 0.719934i | −0.970503 | − | 0.241091i | \(-0.922495\pi\) |
−0.276461 | + | 0.961025i | \(0.589162\pi\) | |||||||
\(18\) | 0.223944 | − | 3.04547i | 0.0527842 | − | 0.717824i | ||||
\(19\) | −0.200423 | + | 0.0537031i | −0.0459801 | + | 0.0123203i | −0.281736 | − | 0.959492i | \(-0.590910\pi\) |
0.235756 | + | 0.971812i | \(0.424243\pi\) | |||||||
\(20\) | −2.51396 | + | 5.80630i | −0.562138 | + | 1.29833i | ||||
\(21\) | 2.42554 | + | 0.0416088i | 0.529297 | + | 0.00907979i | ||||
\(22\) | −1.71668 | + | 0.327300i | −0.365997 | + | 0.0697807i | ||||
\(23\) | −1.77104 | + | 3.06753i | −0.369287 | + | 0.639625i | −0.989454 | − | 0.144845i | \(-0.953732\pi\) |
0.620167 | + | 0.784470i | \(0.287065\pi\) | |||||||
\(24\) | −1.20218 | + | 2.29793i | −0.245395 | + | 0.469062i | ||||
\(25\) | 4.33729 | − | 2.50414i | 0.867459 | − | 0.500828i | ||||
\(26\) | −0.812794 | − | 0.283134i | −0.159402 | − | 0.0555271i | ||||
\(27\) | −3.34502 | + | 3.34502i | −0.643749 | + | 0.643749i | ||||
\(28\) | 4.81911 | + | 2.18544i | 0.910727 | + | 0.413009i | ||||
\(29\) | 1.84275 | + | 1.84275i | 0.342190 | + | 0.342190i | 0.857190 | − | 0.515000i | \(-0.172208\pi\) |
−0.515000 | + | 0.857190i | \(0.672208\pi\) | |||||||
\(30\) | 3.69348 | − | 1.78505i | 0.674334 | − | 0.325904i | ||||
\(31\) | 3.60177 | + | 6.23845i | 0.646897 | + | 1.12046i | 0.983860 | + | 0.178940i | \(0.0572668\pi\) |
−0.336963 | + | 0.941518i | \(0.609400\pi\) | |||||||
\(32\) | −4.39794 | + | 3.55783i | −0.777453 | + | 0.628941i | ||||
\(33\) | 0.981256 | + | 0.566528i | 0.170815 | + | 0.0986199i | ||||
\(34\) | 6.94355 | + | 4.71982i | 1.19081 | + | 0.809443i | ||||
\(35\) | −4.06009 | − | 7.31940i | −0.686280 | − | 1.23720i | ||||
\(36\) | −4.01562 | + | 1.58899i | −0.669270 | + | 0.264831i | ||||
\(37\) | −3.00006 | − | 11.1964i | −0.493207 | − | 1.84067i | −0.539851 | − | 0.841761i | \(-0.681519\pi\) |
0.0466438 | − | 0.998912i | \(-0.485147\pi\) | |||||||
\(38\) | 0.191717 | + | 0.222151i | 0.0311007 | + | 0.0360376i | ||||
\(39\) | 0.279016 | + | 0.483270i | 0.0446783 | + | 0.0773851i | ||||
\(40\) | 8.94023 | − | 0.372083i | 1.41357 | − | 0.0588314i | ||||
\(41\) | −9.61218 | −1.50117 | −0.750585 | − | 0.660774i | \(-0.770228\pi\) | ||||
−0.750585 | + | 0.660774i | \(0.770228\pi\) | |||||||
\(42\) | −1.43966 | − | 3.11406i | −0.222145 | − | 0.480509i | ||||
\(43\) | −7.30761 | − | 7.30761i | −1.11440 | − | 1.11440i | −0.992548 | − | 0.121852i | \(-0.961117\pi\) |
−0.121852 | − | 0.992548i | \(-0.538883\pi\) | |||||||
\(44\) | 1.47317 | + | 1.98444i | 0.222089 | + | 0.299165i | ||||
\(45\) | 6.59833 | + | 1.76802i | 0.983620 | + | 0.263560i | ||||
\(46\) | 4.99577 | + | 0.367357i | 0.736586 | + | 0.0541638i | ||||
\(47\) | −2.87631 | + | 4.98192i | −0.419553 | + | 0.726688i | −0.995895 | − | 0.0905214i | \(-0.971147\pi\) |
0.576341 | + | 0.817209i | \(0.304480\pi\) | |||||||
\(48\) | 3.66576 | + | 0.116635i | 0.529107 | + | 0.0168348i | ||||
\(49\) | −6.17866 | + | 3.29002i | −0.882665 | + | 0.470002i | ||||
\(50\) | −5.85763 | − | 3.98168i | −0.828395 | − | 0.563095i | ||||
\(51\) | −1.40886 | − | 5.25793i | −0.197280 | − | 0.736258i | ||||
\(52\) | 0.139666 | + | 1.20917i | 0.0193682 | + | 0.167682i | ||||
\(53\) | 4.98367 | + | 1.33537i | 0.684560 | + | 0.183427i | 0.584305 | − | 0.811534i | \(-0.301367\pi\) |
0.100256 | + | 0.994962i | \(0.468034\pi\) | |||||||
\(54\) | 6.31770 | + | 2.20075i | 0.859730 | + | 0.299484i | ||||
\(55\) | − | 3.90937i | − | 0.527140i | ||||||
\(56\) | −0.182890 | − | 7.48108i | −0.0244397 | − | 0.999701i | ||||
\(57\) | − | 0.190251i | − | 0.0251993i | ||||||
\(58\) | 1.21238 | − | 3.48038i | 0.159193 | − | 0.456996i | ||||
\(59\) | −1.37811 | − | 0.369264i | −0.179415 | − | 0.0480740i | 0.167993 | − | 0.985788i | \(-0.446271\pi\) |
−0.347408 | + | 0.937714i | \(0.612938\pi\) | |||||||
\(60\) | −4.54582 | − | 3.60442i | −0.586863 | − | 0.465329i | ||||
\(61\) | −0.344053 | − | 1.28402i | −0.0440515 | − | 0.164403i | 0.940396 | − | 0.340081i | \(-0.110455\pi\) |
−0.984448 | + | 0.175679i | \(0.943788\pi\) | |||||||
\(62\) | 5.72696 | − | 8.42519i | 0.727324 | − | 1.07000i | ||||
\(63\) | 1.57305 | − | 5.49210i | 0.198185 | − | 0.691940i | ||||
\(64\) | 7.23662 | + | 3.41048i | 0.904577 | + | 0.426309i | ||||
\(65\) | 0.962686 | − | 1.66742i | 0.119407 | − | 0.206818i | ||||
\(66\) | 0.117512 | − | 1.59807i | 0.0144647 | − | 0.196709i | ||||
\(67\) | 7.90167 | + | 2.11725i | 0.965343 | + | 0.258663i | 0.706860 | − | 0.707353i | \(-0.250111\pi\) |
0.258482 | + | 0.966016i | \(0.416778\pi\) | |||||||
\(68\) | 1.73681 | − | 11.7458i | 0.210619 | − | 1.42438i | ||||
\(69\) | −2.29651 | − | 2.29651i | −0.276467 | − | 0.276467i | ||||
\(70\) | −6.82130 | + | 9.67397i | −0.815301 | + | 1.15626i | ||||
\(71\) | 13.7963 | 1.63732 | 0.818661 | − | 0.574277i | \(-0.194717\pi\) | ||||
0.818661 | + | 0.574277i | \(0.194717\pi\) | |||||||
\(72\) | 4.49442 | + | 4.13526i | 0.529672 | + | 0.487345i | ||||
\(73\) | 1.12655 | + | 1.95123i | 0.131852 | + | 0.228375i | 0.924391 | − | 0.381447i | \(-0.124574\pi\) |
−0.792538 | + | 0.609822i | \(0.791241\pi\) | |||||||
\(74\) | −12.4102 | + | 10.7101i | −1.44265 | + | 1.24502i | ||||
\(75\) | 1.18853 | + | 4.43564i | 0.137239 | + | 0.512183i | ||||
\(76\) | 0.164885 | − | 0.380823i | 0.0189136 | − | 0.0436833i | ||||
\(77\) | −3.26898 | − | 0.0560775i | −0.372535 | − | 0.00639063i | ||||
\(78\) | 0.443647 | − | 0.652669i | 0.0502331 | − | 0.0739002i | ||||
\(79\) | −1.47554 | − | 0.851902i | −0.166011 | − | 0.0958465i | 0.414693 | − | 0.909962i | \(-0.363889\pi\) |
−0.580704 | + | 0.814115i | \(0.697222\pi\) | |||||||
\(80\) | −5.97546 | − | 11.1547i | −0.668077 | − | 1.24713i | ||||
\(81\) | 1.07019 | + | 1.85362i | 0.118910 | + | 0.205958i | ||||
\(82\) | 5.91519 | + | 12.2392i | 0.653224 | + | 1.35160i | ||||
\(83\) | 7.78261 | + | 7.78261i | 0.854253 | + | 0.854253i | 0.990654 | − | 0.136401i | \(-0.0435536\pi\) |
−0.136401 | + | 0.990654i | \(0.543554\pi\) | |||||||
\(84\) | −3.07919 | + | 3.74947i | −0.335967 | + | 0.409101i | ||||
\(85\) | −13.2804 | + | 13.2804i | −1.44046 | + | 1.44046i | ||||
\(86\) | −4.80781 | + | 13.8018i | −0.518439 | + | 1.48829i | ||||
\(87\) | −2.06936 | + | 1.19474i | −0.221858 | + | 0.128090i | ||||
\(88\) | 1.62022 | − | 3.09699i | 0.172716 | − | 0.330140i | ||||
\(89\) | −3.05474 | + | 5.29096i | −0.323801 | + | 0.560840i | −0.981269 | − | 0.192642i | \(-0.938294\pi\) |
0.657468 | + | 0.753483i | \(0.271628\pi\) | |||||||
\(90\) | −1.80929 | − | 9.48968i | −0.190716 | − | 1.00030i | ||||
\(91\) | −1.38047 | − | 0.828908i | −0.144713 | − | 0.0868931i | ||||
\(92\) | −2.60657 | − | 6.58720i | −0.271753 | − | 0.686763i | ||||
\(93\) | −6.37989 | + | 1.70949i | −0.661564 | + | 0.177266i | ||||
\(94\) | 8.11354 | + | 0.596618i | 0.836847 | + | 0.0615364i | ||||
\(95\) | −0.568477 | + | 0.328210i | −0.0583245 | + | 0.0336737i | ||||
\(96\) | −2.10734 | − | 4.73940i | −0.215080 | − | 0.483713i | ||||
\(97\) | − | 10.6315i | − | 1.07946i | −0.841837 | − | 0.539732i | \(-0.818526\pi\) | ||
0.841837 | − | 0.539732i | \(-0.181474\pi\) | |||||||
\(98\) | 7.99144 | + | 5.84268i | 0.807258 | + | 0.590199i | ||||
\(99\) | 1.88679 | − | 1.88679i | 0.189629 | − | 0.189629i | ||||
\(100\) | −1.46518 | + | 9.90881i | −0.146518 | + | 0.990881i | ||||
\(101\) | 0.330064 | − | 1.23182i | 0.0328426 | − | 0.122570i | −0.947558 | − | 0.319583i | \(-0.896457\pi\) |
0.980401 | + | 0.197012i | \(0.0631239\pi\) | |||||||
\(102\) | −5.82795 | + | 5.02956i | −0.577053 | + | 0.498001i | ||||
\(103\) | −8.50599 | − | 4.91094i | −0.838120 | − | 0.483889i | 0.0185046 | − | 0.999829i | \(-0.494109\pi\) |
−0.856625 | + | 0.515940i | \(0.827443\pi\) | |||||||
\(104\) | 1.45369 | − | 0.921943i | 0.142546 | − | 0.0904039i | ||||
\(105\) | 7.44602 | − | 1.85888i | 0.726657 | − | 0.181408i | ||||
\(106\) | −1.36655 | − | 7.16750i | −0.132731 | − | 0.696169i | ||||
\(107\) | 10.0367 | − | 2.68932i | 0.970282 | − | 0.259986i | 0.261335 | − | 0.965248i | \(-0.415837\pi\) |
0.708947 | + | 0.705262i | \(0.249171\pi\) | |||||||
\(108\) | −1.08560 | − | 9.39865i | −0.104462 | − | 0.904386i | ||||
\(109\) | 0.0105075 | − | 0.0392146i | 0.00100644 | − | 0.00375608i | −0.965421 | − | 0.260697i | \(-0.916048\pi\) |
0.966427 | + | 0.256941i | \(0.0827144\pi\) | |||||||
\(110\) | −4.97782 | + | 2.40577i | −0.474616 | + | 0.229381i | ||||
\(111\) | 10.6281 | 1.00878 | ||||||||
\(112\) | −9.41313 | + | 4.83662i | −0.889458 | + | 0.457018i | ||||
\(113\) | −11.0778 | −1.04211 | −0.521055 | − | 0.853523i | \(-0.674461\pi\) | ||||
−0.521055 | + | 0.853523i | \(0.674461\pi\) | |||||||
\(114\) | −0.242247 | + | 0.117078i | −0.0226885 | + | 0.0109653i | ||||
\(115\) | −2.90024 | + | 10.8239i | −0.270449 | + | 1.00933i | ||||
\(116\) | −5.17765 | + | 0.598050i | −0.480733 | + | 0.0555275i | ||||
\(117\) | 1.26937 | − | 0.340127i | 0.117354 | − | 0.0314448i | ||||
\(118\) | 0.377885 | + | 1.98199i | 0.0347871 | + | 0.182457i | ||||
\(119\) | 10.9145 | + | 11.2955i | 1.00053 | + | 1.03545i | ||||
\(120\) | −1.79209 | + | 8.00632i | −0.163594 | + | 0.730874i | ||||
\(121\) | 8.20381 | + | 4.73647i | 0.745801 | + | 0.430588i | ||||
\(122\) | −1.42323 | + | 1.22825i | −0.128853 | + | 0.111201i | ||||
\(123\) | 2.28109 | − | 8.51314i | 0.205679 | − | 0.767604i | ||||
\(124\) | −14.2521 | − | 2.10741i | −1.27988 | − | 0.189251i | ||||
\(125\) | 0.0185146 | − | 0.0185146i | 0.00165600 | − | 0.00165600i | ||||
\(126\) | −7.96114 | + | 1.37679i | −0.709235 | + | 0.122654i | ||||
\(127\) | − | 18.0882i | − | 1.60506i | −0.596609 | − | 0.802532i | \(-0.703486\pi\) | ||
0.596609 | − | 0.802532i | \(-0.296514\pi\) | |||||||
\(128\) | −0.110740 | − | 11.3132i | −0.00978814 | − | 0.999952i | ||||
\(129\) | 8.20626 | − | 4.73788i | 0.722521 | − | 0.417147i | ||||
\(130\) | −2.71556 | − | 0.199685i | −0.238170 | − | 0.0175135i | ||||
\(131\) | 2.65978 | − | 0.712687i | 0.232386 | − | 0.0622678i | −0.140746 | − | 0.990046i | \(-0.544950\pi\) |
0.373133 | + | 0.927778i | \(0.378284\pi\) | |||||||
\(132\) | −2.10714 | + | 0.833800i | −0.183403 | + | 0.0725730i | ||||
\(133\) | 0.266292 | + | 0.480064i | 0.0230905 | + | 0.0416268i | ||||
\(134\) | −2.16668 | − | 11.3641i | −0.187172 | − | 0.981713i | ||||
\(135\) | −7.48278 | + | 12.9606i | −0.644016 | + | 1.11547i | ||||
\(136\) | −16.0247 | + | 5.01668i | −1.37411 | + | 0.430177i | ||||
\(137\) | 1.69173 | − | 0.976720i | 0.144534 | − | 0.0834468i | −0.425989 | − | 0.904728i | \(-0.640074\pi\) |
0.570523 | + | 0.821281i | \(0.306740\pi\) | |||||||
\(138\) | −1.51091 | + | 4.33738i | −0.128617 | + | 0.369223i | ||||
\(139\) | −5.22260 | + | 5.22260i | −0.442975 | + | 0.442975i | −0.893011 | − | 0.450035i | \(-0.851411\pi\) |
0.450035 | + | 0.893011i | \(0.351411\pi\) | |||||||
\(140\) | 16.5156 | + | 2.73236i | 1.39583 | + | 0.230927i | ||||
\(141\) | −3.72971 | − | 3.72971i | −0.314098 | − | 0.314098i | ||||
\(142\) | −8.49006 | − | 17.5669i | −0.712470 | − | 1.47418i | ||||
\(143\) | −0.376039 | − | 0.651318i | −0.0314460 | − | 0.0544660i | ||||
\(144\) | 2.49964 | − | 8.26753i | 0.208303 | − | 0.688961i | ||||
\(145\) | 7.13988 | + | 4.12221i | 0.592935 | + | 0.342331i | ||||
\(146\) | 1.79125 | − | 2.63520i | 0.148245 | − | 0.218090i | ||||
\(147\) | −1.44757 | − | 6.25296i | −0.119393 | − | 0.515735i | ||||
\(148\) | 21.2742 | + | 9.21111i | 1.74873 | + | 0.757148i | ||||
\(149\) | 1.97547 | + | 7.37254i | 0.161836 | + | 0.603982i | 0.998423 | + | 0.0561464i | \(0.0178814\pi\) |
−0.836586 | + | 0.547835i | \(0.815452\pi\) | |||||||
\(150\) | 4.91651 | − | 4.24298i | 0.401431 | − | 0.346438i | ||||
\(151\) | −7.05310 | − | 12.2163i | −0.573973 | − | 0.994151i | −0.996152 | − | 0.0876383i | \(-0.972068\pi\) |
0.422179 | − | 0.906512i | \(-0.361265\pi\) | |||||||
\(152\) | −0.586370 | + | 0.0244041i | −0.0475609 | + | 0.00197943i | ||||
\(153\) | −12.8191 | −1.03636 | ||||||||
\(154\) | 1.94028 | + | 4.19692i | 0.156352 | + | 0.338197i | ||||
\(155\) | 16.1143 | + | 16.1143i | 1.29433 | + | 1.29433i | ||||
\(156\) | −1.10406 | − | 0.163254i | −0.0883955 | − | 0.0130708i | ||||
\(157\) | 14.1182 | + | 3.78295i | 1.12675 | + | 0.301912i | 0.773613 | − | 0.633658i | \(-0.218448\pi\) |
0.353139 | + | 0.935571i | \(0.385114\pi\) | |||||||
\(158\) | −0.176705 | + | 2.40306i | −0.0140579 | + | 0.191177i | ||||
\(159\) | −2.36537 | + | 4.09695i | −0.187586 | + | 0.324909i | ||||
\(160\) | −10.5260 | + | 14.4730i | −0.832157 | + | 1.14419i | ||||
\(161\) | 9.00921 | + | 2.58042i | 0.710025 | + | 0.203365i | ||||
\(162\) | 1.70165 | − | 2.50337i | 0.133694 | − | 0.196683i | ||||
\(163\) | −0.108046 | − | 0.403234i | −0.00846284 | − | 0.0315837i | 0.961565 | − | 0.274576i | \(-0.0885376\pi\) |
−0.970028 | + | 0.242993i | \(0.921871\pi\) | |||||||
\(164\) | 11.9441 | − | 15.0637i | 0.932678 | − | 1.17628i | ||||
\(165\) | 3.46238 | + | 0.927743i | 0.269546 | + | 0.0722247i | ||||
\(166\) | 5.12032 | − | 14.6989i | 0.397414 | − | 1.14086i | ||||
\(167\) | 3.16944i | 0.245259i | 0.992453 | + | 0.122629i | \(0.0391326\pi\) | ||||
−0.992453 | + | 0.122629i | \(0.960867\pi\) | |||||||
\(168\) | 6.66911 | + | 1.61337i | 0.514533 | + | 0.124474i | ||||
\(169\) | 12.6296i | 0.971508i | ||||||||
\(170\) | 25.0826 | + | 8.73743i | 1.92375 | + | 0.670130i | ||||
\(171\) | −0.432770 | − | 0.115960i | −0.0330947 | − | 0.00886771i | ||||
\(172\) | 20.5325 | − | 2.37163i | 1.56559 | − | 0.180835i | ||||
\(173\) | −5.91858 | − | 22.0884i | −0.449981 | − | 1.67935i | −0.702438 | − | 0.711744i | \(-0.747905\pi\) |
0.252457 | − | 0.967608i | \(-0.418761\pi\) | |||||||
\(174\) | 2.79472 | + | 1.89969i | 0.211867 | + | 0.144015i | ||||
\(175\) | −9.20754 | − | 9.52896i | −0.696025 | − | 0.720321i | ||||
\(176\) | −4.94047 | − | 0.157192i | −0.372402 | − | 0.0118488i | ||||
\(177\) | 0.654085 | − | 1.13291i | 0.0491640 | − | 0.0851546i | ||||
\(178\) | 8.61683 | + | 0.633627i | 0.645859 | + | 0.0474923i | ||||
\(179\) | −13.2864 | − | 3.56007i | −0.993069 | − | 0.266092i | −0.274530 | − | 0.961579i | \(-0.588522\pi\) |
−0.718539 | + | 0.695486i | \(0.755189\pi\) | |||||||
\(180\) | −10.9698 | + | 8.14359i | −0.817643 | + | 0.606987i | ||||
\(181\) | −5.01349 | − | 5.01349i | −0.372650 | − | 0.372650i | 0.495792 | − | 0.868441i | \(-0.334878\pi\) |
−0.868441 | + | 0.495792i | \(0.834878\pi\) | |||||||
\(182\) | −0.205927 | + | 2.26786i | −0.0152644 | + | 0.168105i | ||||
\(183\) | 1.21886 | 0.0901007 | ||||||||
\(184\) | −6.78345 | + | 7.37261i | −0.500083 | + | 0.543516i | ||||
\(185\) | −18.3351 | − | 31.7573i | −1.34802 | − | 2.33484i | ||||
\(186\) | 6.10279 | + | 7.07155i | 0.447478 | + | 0.518511i | ||||
\(187\) | 1.89877 | + | 7.08629i | 0.138851 | + | 0.518201i | ||||
\(188\) | −4.23328 | − | 10.6981i | −0.308743 | − | 0.780242i | ||||
\(189\) | 10.7302 | + | 6.44295i | 0.780505 | + | 0.468656i | ||||
\(190\) | 0.767744 | + | 0.521868i | 0.0556980 | + | 0.0378603i | ||||
\(191\) | 4.65280 | + | 2.68629i | 0.336665 | + | 0.194373i | 0.658796 | − | 0.752322i | \(-0.271066\pi\) |
−0.322132 | + | 0.946695i | \(0.604399\pi\) | |||||||
\(192\) | −4.73786 | + | 5.59985i | −0.341926 | + | 0.404134i | ||||
\(193\) | 0.0359286 | + | 0.0622302i | 0.00258620 | + | 0.00447943i | 0.867316 | − | 0.497759i | \(-0.165843\pi\) |
−0.864729 | + | 0.502238i | \(0.832510\pi\) | |||||||
\(194\) | −13.5371 | + | 6.54246i | −0.971907 | + | 0.469721i | ||||
\(195\) | 1.24831 | + | 1.24831i | 0.0893936 | + | 0.0893936i | ||||
\(196\) | 2.52168 | − | 13.7710i | 0.180120 | − | 0.983645i | ||||
\(197\) | 2.60367 | − | 2.60367i | 0.185504 | − | 0.185504i | −0.608245 | − | 0.793749i | \(-0.708126\pi\) |
0.793749 | + | 0.608245i | \(0.208126\pi\) | |||||||
\(198\) | −3.56355 | − | 1.24135i | −0.253251 | − | 0.0882190i | ||||
\(199\) | 9.01857 | − | 5.20687i | 0.639310 | − | 0.369106i | −0.145039 | − | 0.989426i | \(-0.546331\pi\) |
0.784349 | + | 0.620320i | \(0.212997\pi\) | |||||||
\(200\) | 13.5186 | − | 4.23212i | 0.955908 | − | 0.299256i | ||||
\(201\) | −3.75033 | + | 6.49576i | −0.264528 | + | 0.458175i | ||||
\(202\) | −1.77159 | + | 0.337770i | −0.124649 | + | 0.0237654i | ||||
\(203\) | 3.54937 | − | 5.91117i | 0.249117 | − | 0.414883i | ||||
\(204\) | 9.99059 | + | 4.32563i | 0.699481 | + | 0.302855i | ||||
\(205\) | −29.3728 | + | 7.87042i | −2.05148 | + | 0.549694i | ||||
\(206\) | −1.01865 | + | 13.8528i | −0.0709726 | + | 0.965172i | ||||
\(207\) | −6.62368 | + | 3.82418i | −0.460378 | + | 0.265799i | ||||
\(208\) | −2.06849 | − | 1.28364i | −0.143424 | − | 0.0890043i | ||||
\(209\) | 0.256407i | 0.0177361i | ||||||||
\(210\) | −6.94909 | − | 8.33711i | −0.479533 | − | 0.575315i | ||||
\(211\) | 2.30105 | − | 2.30105i | 0.158411 | − | 0.158411i | −0.623451 | − | 0.781862i | \(-0.714270\pi\) |
0.781862 | + | 0.623451i | \(0.214270\pi\) | |||||||
\(212\) | −8.28544 | + | 6.15080i | −0.569047 | + | 0.422439i | ||||
\(213\) | −3.27404 | + | 12.2189i | −0.224333 | + | 0.837223i | ||||
\(214\) | −9.60074 | − | 11.1248i | −0.656293 | − | 0.760473i | ||||
\(215\) | −28.3140 | − | 16.3471i | −1.93100 | − | 1.11486i | ||||
\(216\) | −11.2993 | + | 7.16609i | −0.768818 | + | 0.487591i | ||||
\(217\) | 13.7057 | − | 13.2435i | 0.930407 | − | 0.899024i | ||||
\(218\) | −0.0563983 | + | 0.0107528i | −0.00381977 | + | 0.000728274i | ||||
\(219\) | −1.99548 | + | 0.534686i | −0.134842 | + | 0.0361308i | ||||
\(220\) | 6.12655 | + | 4.85780i | 0.413052 | + | 0.327513i | ||||
\(221\) | −0.935145 | + | 3.49001i | −0.0629046 | + | 0.234763i | ||||
\(222\) | −6.54041 | − | 13.5329i | −0.438963 | − | 0.908266i | ||||
\(223\) | −21.9153 | −1.46756 | −0.733778 | − | 0.679390i | \(-0.762245\pi\) | ||||
−0.733778 | + | 0.679390i | \(0.762245\pi\) | |||||||
\(224\) | 11.9512 | + | 9.00939i | 0.798522 | + | 0.601965i | ||||
\(225\) | 10.8143 | 0.720954 | ||||||||
\(226\) | 6.81710 | + | 14.1054i | 0.453467 | + | 0.938275i | ||||
\(227\) | −2.99903 | + | 11.1925i | −0.199053 | + | 0.742874i | 0.792128 | + | 0.610355i | \(0.208973\pi\) |
−0.991180 | + | 0.132519i | \(0.957693\pi\) | |||||||
\(228\) | 0.298151 | + | 0.236406i | 0.0197455 | + | 0.0156564i | ||||
\(229\) | 20.9901 | − | 5.62429i | 1.38707 | − | 0.371663i | 0.513383 | − | 0.858159i | \(-0.328392\pi\) |
0.873683 | + | 0.486496i | \(0.161725\pi\) | |||||||
\(230\) | 15.5668 | − | 2.96795i | 1.02645 | − | 0.195701i | ||||
\(231\) | 0.825436 | − | 2.88190i | 0.0543097 | − | 0.189615i | ||||
\(232\) | 3.94775 | + | 6.22469i | 0.259182 | + | 0.408671i | ||||
\(233\) | 10.8223 | + | 6.24823i | 0.708989 | + | 0.409335i | 0.810687 | − | 0.585480i | \(-0.199094\pi\) |
−0.101697 | + | 0.994815i | \(0.532427\pi\) | |||||||
\(234\) | −1.21424 | − | 1.40699i | −0.0793773 | − | 0.0919776i | ||||
\(235\) | −4.71023 | + | 17.5788i | −0.307262 | + | 1.14672i | ||||
\(236\) | 2.29113 | − | 1.70085i | 0.149140 | − | 0.110716i | ||||
\(237\) | 1.10466 | − | 1.10466i | 0.0717554 | − | 0.0717554i | ||||
\(238\) | 7.66595 | − | 20.8485i | 0.496910 | − | 1.35141i | ||||
\(239\) | − | 7.70978i | − | 0.498704i | −0.968413 | − | 0.249352i | \(-0.919782\pi\) | ||
0.968413 | − | 0.249352i | \(-0.0802176\pi\) | |||||||
\(240\) | 11.2973 | − | 2.64510i | 0.729237 | − | 0.170741i | ||||
\(241\) | 9.50533 | − | 5.48790i | 0.612292 | − | 0.353507i | −0.161570 | − | 0.986861i | \(-0.551656\pi\) |
0.773862 | + | 0.633354i | \(0.218322\pi\) | |||||||
\(242\) | 0.982460 | − | 13.3607i | 0.0631549 | − | 0.858858i | ||||
\(243\) | −15.6038 | + | 4.18102i | −1.00098 | + | 0.268213i | ||||
\(244\) | 2.43977 | + | 1.05635i | 0.156191 | + | 0.0676259i | ||||
\(245\) | −16.1868 | + | 15.1127i | −1.03414 | + | 0.965512i | ||||
\(246\) | −12.2435 | + | 2.33434i | −0.780620 | + | 0.148832i | ||||
\(247\) | −0.0631405 | + | 0.109363i | −0.00401753 | + | 0.00695857i | ||||
\(248\) | 6.08716 | + | 19.4441i | 0.386535 | + | 1.23470i | ||||
\(249\) | −8.73967 | + | 5.04585i | −0.553854 | + | 0.319768i | ||||
\(250\) | −0.0349684 | − | 0.0121811i | −0.00221160 | − | 0.000770401i | ||||
\(251\) | 18.8899 | − | 18.8899i | 1.19232 | − | 1.19232i | 0.215903 | − | 0.976415i | \(-0.430731\pi\) |
0.976415 | − | 0.215903i | \(-0.0692694\pi\) | |||||||
\(252\) | 6.65224 | + | 9.28969i | 0.419052 | + | 0.585195i | ||||
\(253\) | 3.09507 | + | 3.09507i | 0.194586 | + | 0.194586i | ||||
\(254\) | −23.0317 | + | 11.1312i | −1.44514 | + | 0.698433i | ||||
\(255\) | −8.61035 | − | 14.9136i | −0.539201 | − | 0.933924i | ||||
\(256\) | −14.3369 | + | 7.10296i | −0.896059 | + | 0.443935i | ||||
\(257\) | 15.2767 | + | 8.82001i | 0.952935 | + | 0.550177i | 0.893991 | − | 0.448084i | \(-0.147893\pi\) |
0.0589435 | + | 0.998261i | \(0.481227\pi\) | |||||||
\(258\) | −11.0828 | − | 7.53343i | −0.689983 | − | 0.469011i | ||||
\(259\) | −26.8182 | + | 14.8761i | −1.66640 | + | 0.924356i | ||||
\(260\) | 1.41685 | + | 3.58061i | 0.0878696 | + | 0.222060i | ||||
\(261\) | 1.45642 | + | 5.43544i | 0.0901503 | + | 0.336445i | ||||
\(262\) | −2.54426 | − | 2.94813i | −0.157185 | − | 0.182136i | ||||
\(263\) | 3.59074 | + | 6.21934i | 0.221414 | + | 0.383501i | 0.955238 | − | 0.295840i | \(-0.0955994\pi\) |
−0.733823 | + | 0.679340i | \(0.762266\pi\) | |||||||
\(264\) | 2.35838 | + | 2.16992i | 0.145149 | + | 0.133549i | ||||
\(265\) | 16.3225 | 1.00268 | ||||||||
\(266\) | 0.447394 | − | 0.634495i | 0.0274315 | − | 0.0389034i | ||||
\(267\) | −3.96107 | − | 3.96107i | −0.242414 | − | 0.242414i | ||||
\(268\) | −13.1367 | + | 9.75216i | −0.802449 | + | 0.595708i | ||||
\(269\) | −17.8459 | − | 4.78181i | −1.08809 | − | 0.291552i | −0.330182 | − | 0.943917i | \(-0.607110\pi\) |
−0.757904 | + | 0.652366i | \(0.773777\pi\) | |||||||
\(270\) | 21.1075 | + | 1.55211i | 1.28456 | + | 0.0944585i | ||||
\(271\) | 0.492830 | − | 0.853607i | 0.0299373 | − | 0.0518529i | −0.850669 | − | 0.525702i | \(-0.823803\pi\) |
0.880606 | + | 0.473849i | \(0.157136\pi\) | |||||||
\(272\) | 16.2491 | + | 17.3171i | 0.985248 | + | 1.05000i | ||||
\(273\) | 1.06173 | − | 1.02592i | 0.0642591 | − | 0.0620916i | ||||
\(274\) | −2.28473 | − | 1.55302i | −0.138025 | − | 0.0938216i | ||||
\(275\) | −1.60181 | − | 5.97805i | −0.0965930 | − | 0.360490i | ||||
\(276\) | 6.45260 | − | 0.745314i | 0.388401 | − | 0.0448626i | ||||
\(277\) | 0.0844010 | + | 0.0226152i | 0.00507116 | + | 0.00135881i | 0.261354 | − | 0.965243i | \(-0.415831\pi\) |
−0.256283 | + | 0.966602i | \(0.582498\pi\) | |||||||
\(278\) | 9.86387 | + | 3.43604i | 0.591595 | + | 0.206080i | ||||
\(279\) | 15.5545i | 0.931224i | ||||||||
\(280\) | −6.68435 | − | 22.7109i | −0.399467 | − | 1.35723i | ||||
\(281\) | − | 13.9541i | − | 0.832431i | −0.909266 | − | 0.416215i | \(-0.863356\pi\) | ||
0.909266 | − | 0.416215i | \(-0.136644\pi\) | |||||||
\(282\) | −2.45384 | + | 7.04426i | −0.146124 | + | 0.419480i | ||||
\(283\) | −12.7640 | − | 3.42009i | −0.758738 | − | 0.203303i | −0.141348 | − | 0.989960i | \(-0.545144\pi\) |
−0.617391 | + | 0.786657i | \(0.711810\pi\) | |||||||
\(284\) | −17.1433 | + | 21.6208i | −1.01727 | + | 1.28296i | ||||
\(285\) | −0.155777 | − | 0.581367i | −0.00922742 | − | 0.0344372i | ||||
\(286\) | −0.597917 | + | 0.879623i | −0.0353556 | + | 0.0520132i | ||||
\(287\) | 6.15984 | + | 24.6742i | 0.363604 | + | 1.45647i | ||||
\(288\) | −12.0653 | + | 1.90492i | −0.710956 | + | 0.112248i | ||||
\(289\) | 9.12239 | − | 15.8004i | 0.536611 | − | 0.929438i | ||||
\(290\) | 0.855048 | − | 11.6280i | 0.0502101 | − | 0.682819i | ||||
\(291\) | 9.41589 | + | 2.52298i | 0.551969 | + | 0.147900i | ||||
\(292\) | −4.45771 | − | 0.659148i | −0.260868 | − | 0.0385737i | ||||
\(293\) | −1.11946 | − | 1.11946i | −0.0653995 | − | 0.0653995i | 0.673651 | − | 0.739050i | \(-0.264725\pi\) |
−0.739050 | + | 0.673651i | \(0.764725\pi\) | |||||||
\(294\) | −7.07110 | + | 5.69117i | −0.412395 | + | 0.331916i | ||||
\(295\) | −4.51357 | −0.262790 | ||||||||
\(296\) | −1.36331 | − | 32.7569i | −0.0792406 | − | 1.90396i | ||||
\(297\) | 2.92288 | + | 5.06258i | 0.169603 | + | 0.293761i | ||||
\(298\) | 8.17180 | − | 7.05232i | 0.473380 | − | 0.408530i | ||||
\(299\) | 0.557943 | + | 2.08227i | 0.0322667 | + | 0.120421i | ||||
\(300\) | −8.42815 | − | 3.64914i | −0.486599 | − | 0.210683i | ||||
\(301\) | −14.0754 | + | 23.4414i | −0.811294 | + | 1.35114i | ||||
\(302\) | −11.2147 | + | 16.4985i | −0.645334 | + | 0.949381i | ||||
\(303\) | 1.01264 | + | 0.584650i | 0.0581748 | + | 0.0335873i | ||||
\(304\) | 0.391918 | + | 0.731609i | 0.0224780 | + | 0.0419607i | ||||
\(305\) | −2.10271 | − | 3.64200i | −0.120401 | − | 0.208540i | ||||
\(306\) | 7.88869 | + | 16.3226i | 0.450966 | + | 0.933101i | ||||
\(307\) | 15.8597 | + | 15.8597i | 0.905158 | + | 0.905158i | 0.995877 | − | 0.0907183i | \(-0.0289163\pi\) |
−0.0907183 | + | 0.995877i | \(0.528916\pi\) | |||||||
\(308\) | 4.14993 | − | 5.05329i | 0.236464 | − | 0.287938i | ||||
\(309\) | 6.36800 | − | 6.36800i | 0.362263 | − | 0.362263i | ||||
\(310\) | 10.6019 | − | 30.4348i | 0.602145 | − | 1.72858i | ||||
\(311\) | 24.7191 | − | 14.2716i | 1.40169 | − | 0.809267i | 0.407125 | − | 0.913373i | \(-0.366531\pi\) |
0.994566 | + | 0.104106i | \(0.0331981\pi\) | |||||||
\(312\) | 0.471550 | + | 1.50627i | 0.0266963 | + | 0.0852755i | ||||
\(313\) | 0.0311630 | − | 0.0539759i | 0.00176144 | − | 0.00305090i | −0.865143 | − | 0.501525i | \(-0.832773\pi\) |
0.866905 | + | 0.498474i | \(0.166106\pi\) | |||||||
\(314\) | −3.87127 | − | 20.3047i | −0.218468 | − | 1.14586i | ||||
\(315\) | 0.309993 | − | 18.0707i | 0.0174661 | − | 1.01817i | ||||
\(316\) | 3.16856 | − | 1.25381i | 0.178245 | − | 0.0705321i | ||||
\(317\) | 21.9241 | − | 5.87456i | 1.23138 | − | 0.329948i | 0.416265 | − | 0.909243i | \(-0.363339\pi\) |
0.815118 | + | 0.579295i | \(0.196672\pi\) | |||||||
\(318\) | 6.67227 | + | 0.490636i | 0.374162 | + | 0.0275135i | ||||
\(319\) | 2.78894 | − | 1.61019i | 0.156151 | − | 0.0901536i | ||||
\(320\) | 24.9061 | + | 4.49638i | 1.39229 | + | 0.251355i | ||||
\(321\) | 9.52731i | 0.531762i | ||||||||
\(322\) | −2.25848 | − | 13.0594i | −0.125860 | − | 0.727772i | ||||
\(323\) | 0.871034 | − | 0.871034i | 0.0484656 | − | 0.0484656i | ||||
\(324\) | −4.23472 | − | 0.626174i | −0.235262 | − | 0.0347874i | ||||
\(325\) | 0.788896 | − | 2.94420i | 0.0437601 | − | 0.163315i | ||||
\(326\) | −0.446949 | + | 0.385720i | −0.0247542 | + | 0.0213631i | ||||
\(327\) | 0.0322373 | + | 0.0186122i | 0.00178273 | + | 0.00102926i | ||||
\(328\) | −26.5308 | − | 5.93851i | −1.46492 | − | 0.327899i | ||||
\(329\) | 14.6317 | + | 4.19081i | 0.806671 | + | 0.231047i | ||||
\(330\) | −0.949402 | − | 4.97958i | −0.0522629 | − | 0.274117i | ||||
\(331\) | 15.5242 | − | 4.15970i | 0.853289 | − | 0.228638i | 0.194441 | − | 0.980914i | \(-0.437711\pi\) |
0.658848 | + | 0.752276i | \(0.271044\pi\) | |||||||
\(332\) | −21.8672 | + | 2.52579i | −1.20012 | + | 0.138621i | ||||
\(333\) | 6.47799 | − | 24.1762i | 0.354992 | − | 1.32485i | ||||
\(334\) | 4.03566 | − | 1.95043i | 0.220822 | − | 0.106723i | ||||
\(335\) | 25.8794 | 1.41394 | ||||||||
\(336\) | −2.04976 | − | 9.48464i | −0.111823 | − | 0.517429i | ||||
\(337\) | −15.2905 | −0.832928 | −0.416464 | − | 0.909152i | \(-0.636731\pi\) | ||||
−0.416464 | + | 0.909152i | \(0.636731\pi\) | |||||||
\(338\) | 16.0813 | − | 7.77207i | 0.874708 | − | 0.422745i | ||||
\(339\) | 2.62889 | − | 9.81116i | 0.142782 | − | 0.532869i | ||||
\(340\) | −4.31006 | − | 37.3146i | −0.233746 | − | 2.02367i | ||||
\(341\) | 8.59839 | − | 2.30393i | 0.465629 | − | 0.124765i | ||||
\(342\) | 0.118668 | + | 0.622407i | 0.00641681 | + | 0.0336559i | ||||
\(343\) | 12.4049 | + | 13.7521i | 0.669800 | + | 0.742541i | ||||
\(344\) | −15.6552 | − | 24.6847i | −0.844073 | − | 1.33091i | ||||
\(345\) | −8.89801 | − | 5.13727i | −0.479053 | − | 0.276581i | ||||
\(346\) | −24.4831 | + | 21.1290i | −1.31622 | + | 1.13590i | ||||
\(347\) | −7.13352 | + | 26.6227i | −0.382948 | + | 1.42918i | 0.458429 | + | 0.888731i | \(0.348412\pi\) |
−0.841377 | + | 0.540449i | \(0.818254\pi\) | |||||||
\(348\) | 0.699050 | − | 4.72757i | 0.0374730 | − | 0.253424i | ||||
\(349\) | 17.0806 | − | 17.0806i | 0.914304 | − | 0.914304i | −0.0823032 | − | 0.996607i | \(-0.526228\pi\) |
0.996607 | + | 0.0823032i | \(0.0262276\pi\) | |||||||
\(350\) | −6.46706 | + | 17.5880i | −0.345679 | + | 0.940117i | ||||
\(351\) | 2.87905i | 0.153672i | ||||||||
\(352\) | 2.84014 | + | 6.38745i | 0.151380 | + | 0.340452i | ||||
\(353\) | −20.2940 | + | 11.7168i | −1.08014 | + | 0.623621i | −0.930935 | − | 0.365185i | \(-0.881006\pi\) |
−0.149208 | + | 0.988806i | \(0.547672\pi\) | |||||||
\(354\) | −1.84505 | − | 0.135673i | −0.0980633 | − | 0.00721095i | ||||
\(355\) | 42.1587 | − | 11.2964i | 2.23755 | − | 0.599550i | ||||
\(356\) | −4.49587 | − | 11.3618i | −0.238281 | − | 0.602172i | ||||
\(357\) | −12.5941 | + | 6.98597i | −0.666551 | + | 0.369737i | ||||
\(358\) | 3.64318 | + | 19.1084i | 0.192548 | + | 1.00991i | ||||
\(359\) | −4.35778 | + | 7.54790i | −0.229995 | + | 0.398363i | −0.957806 | − | 0.287414i | \(-0.907204\pi\) |
0.727811 | + | 0.685777i | \(0.240538\pi\) | |||||||
\(360\) | 17.1199 | + | 8.95647i | 0.902299 | + | 0.472047i | ||||
\(361\) | −16.4172 | + | 9.47847i | −0.864063 | + | 0.498867i | ||||
\(362\) | −3.29846 | + | 9.46892i | −0.173363 | + | 0.497675i | ||||
\(363\) | −6.14177 | + | 6.14177i | −0.322360 | + | 0.322360i | ||||
\(364\) | 3.01440 | − | 1.13340i | 0.157997 | − | 0.0594063i | ||||
\(365\) | 5.04015 | + | 5.04015i | 0.263814 | + | 0.263814i | ||||
\(366\) | −0.750068 | − | 1.55198i | −0.0392067 | − | 0.0811232i | ||||
\(367\) | 1.41408 | + | 2.44926i | 0.0738143 | + | 0.127850i | 0.900570 | − | 0.434711i | \(-0.143149\pi\) |
−0.826756 | + | 0.562561i | \(0.809816\pi\) | |||||||
\(368\) | 13.5620 | + | 4.10039i | 0.706969 | + | 0.213748i | ||||
\(369\) | −17.9747 | − | 10.3777i | −0.935728 | − | 0.540243i | ||||
\(370\) | −29.1535 | + | 42.8891i | −1.51562 | + | 2.22970i | ||||
\(371\) | 0.234135 | − | 13.6487i | 0.0121557 | − | 0.708605i | ||||
\(372\) | 5.24865 | − | 12.1224i | 0.272130 | − | 0.628519i | ||||
\(373\) | −3.66434 | − | 13.6755i | −0.189733 | − | 0.708091i | −0.993568 | − | 0.113239i | \(-0.963877\pi\) |
0.803835 | − | 0.594852i | \(-0.202789\pi\) | |||||||
\(374\) | 7.85452 | − | 6.77850i | 0.406148 | − | 0.350508i | ||||
\(375\) | 0.0120040 | + | 0.0207915i | 0.000619882 | + | 0.00107367i | ||||
\(376\) | −11.0169 | + | 11.9737i | −0.568152 | + | 0.617498i | ||||
\(377\) | 1.58605 | 0.0816855 | ||||||||
\(378\) | 1.60064 | − | 17.6277i | 0.0823279 | − | 0.906669i | ||||
\(379\) | −10.2443 | − | 10.2443i | −0.526215 | − | 0.526215i | 0.393227 | − | 0.919442i | \(-0.371359\pi\) |
−0.919442 | + | 0.393227i | \(0.871359\pi\) | |||||||
\(380\) | 0.192038 | − | 1.29872i | 0.00985132 | − | 0.0666230i | ||||
\(381\) | 16.0200 | + | 4.29254i | 0.820728 | + | 0.219913i | ||||
\(382\) | 0.557203 | − | 7.57753i | 0.0285090 | − | 0.387700i | ||||
\(383\) | 3.20722 | − | 5.55507i | 0.163881 | − | 0.283851i | −0.772376 | − | 0.635165i | \(-0.780932\pi\) |
0.936257 | + | 0.351315i | \(0.114265\pi\) | |||||||
\(384\) | 10.0459 | + | 2.58667i | 0.512653 | + | 0.132001i | ||||
\(385\) | −10.0352 | + | 2.50527i | −0.511443 | + | 0.127680i | ||||
\(386\) | 0.0571280 | − | 0.0840436i | 0.00290774 | − | 0.00427771i | ||||
\(387\) | −5.77560 | − | 21.5548i | −0.293590 | − | 1.09569i | ||||
\(388\) | 16.6611 | + | 13.2107i | 0.845838 | + | 0.670672i | ||||
\(389\) | −16.4278 | − | 4.40182i | −0.832924 | − | 0.223181i | −0.182935 | − | 0.983125i | \(-0.558560\pi\) |
−0.649989 | + | 0.759944i | \(0.725226\pi\) | |||||||
\(390\) | 0.821288 | − | 2.35768i | 0.0415875 | − | 0.119386i | ||||
\(391\) | − | 21.0284i | − | 1.06345i | ||||||
\(392\) | −19.0865 | + | 5.26362i | −0.964014 | + | 0.265853i | ||||
\(393\) | 2.52480i | 0.127359i | ||||||||
\(394\) | −4.91752 | − | 1.71300i | −0.247741 | − | 0.0862997i | ||||
\(395\) | −5.20647 | − | 1.39507i | −0.261966 | − | 0.0701935i | ||||
\(396\) | 0.612343 | + | 5.30139i | 0.0307714 | + | 0.266405i | ||||
\(397\) | 2.86398 | + | 10.6885i | 0.143739 | + | 0.536441i | 0.999808 | + | 0.0195801i | \(0.00623293\pi\) |
−0.856069 | + | 0.516861i | \(0.827100\pi\) | |||||||
\(398\) | −12.1798 | − | 8.27914i | −0.610519 | − | 0.414996i | ||||
\(399\) | −0.488368 | + | 0.121920i | −0.0244490 | + | 0.00610362i | ||||
\(400\) | −13.7079 | − | 14.6089i | −0.685395 | − | 0.730443i | ||||
\(401\) | −7.59299 | + | 13.1514i | −0.379176 | + | 0.656752i | −0.990943 | − | 0.134286i | \(-0.957126\pi\) |
0.611767 | + | 0.791038i | \(0.290459\pi\) | |||||||
\(402\) | 10.5790 | + | 0.777909i | 0.527631 | + | 0.0387986i | ||||
\(403\) | 4.23472 | + | 1.13469i | 0.210946 | + | 0.0565229i | ||||
\(404\) | 1.52029 | + | 2.04791i | 0.0756375 | + | 0.101888i | ||||
\(405\) | 4.78802 | + | 4.78802i | 0.237918 | + | 0.237918i | ||||
\(406\) | −9.71095 | − | 0.881779i | −0.481946 | − | 0.0437620i | ||||
\(407\) | −14.3239 | −0.710009 | ||||||||
\(408\) | −0.640223 | − | 15.3830i | −0.0316958 | − | 0.761571i | ||||
\(409\) | −2.65534 | − | 4.59919i | −0.131298 | − | 0.227415i | 0.792879 | − | 0.609379i | \(-0.208581\pi\) |
−0.924177 | + | 0.381964i | \(0.875248\pi\) | |||||||
\(410\) | 28.0970 | + | 32.5571i | 1.38761 | + | 1.60788i | ||||
\(411\) | 0.463575 | + | 1.73009i | 0.0228665 | + | 0.0853389i | ||||
\(412\) | 18.2657 | − | 7.22778i | 0.899887 | − | 0.356087i | ||||
\(413\) | −0.0647443 | + | 3.77421i | −0.00318586 | + | 0.185716i | ||||
\(414\) | 8.94546 | + | 6.08061i | 0.439646 | + | 0.298846i | ||||
\(415\) | 30.1544 | + | 17.4096i | 1.48022 | + | 0.854606i | ||||
\(416\) | −0.361541 | + | 3.42375i | −0.0177260 | + | 0.167863i | ||||
\(417\) | −3.38607 | − | 5.86484i | −0.165817 | − | 0.287203i | ||||
\(418\) | 0.326484 | − | 0.157789i | 0.0159689 | − | 0.00771773i | ||||
\(419\) | −7.73525 | − | 7.73525i | −0.377891 | − | 0.377891i | 0.492450 | − | 0.870341i | \(-0.336102\pi\) |
−0.870341 | + | 0.492450i | \(0.836102\pi\) | |||||||
\(420\) | −6.33931 | + | 13.9788i | −0.309326 | + | 0.682097i | ||||
\(421\) | 4.79155 | − | 4.79155i | 0.233526 | − | 0.233526i | −0.580637 | − | 0.814163i | \(-0.697196\pi\) |
0.814163 | + | 0.580637i | \(0.197196\pi\) | |||||||
\(422\) | −4.34597 | − | 1.51390i | −0.211559 | − | 0.0736956i | ||||
\(423\) | −10.7574 | + | 6.21079i | −0.523043 | + | 0.301979i | ||||
\(424\) | 12.9306 | + | 6.76477i | 0.627964 | + | 0.328526i | ||||
\(425\) | −14.8664 | + | 25.7494i | −0.721126 | + | 1.24903i | ||||
\(426\) | 17.5731 | − | 3.35047i | 0.851421 | − | 0.162331i | ||||
\(427\) | −3.07557 | + | 1.70602i | −0.148837 | + | 0.0825603i | ||||
\(428\) | −8.25704 | + | 19.0707i | −0.399119 | + | 0.921816i | ||||
\(429\) | 0.666086 | − | 0.178477i | 0.0321589 | − | 0.00861696i | ||||
\(430\) | −3.39078 | + | 46.1120i | −0.163518 | + | 2.22372i | ||||
\(431\) | −2.20553 | + | 1.27336i | −0.106236 | + | 0.0613356i | −0.552177 | − | 0.833727i | \(-0.686203\pi\) |
0.445940 | + | 0.895063i | \(0.352869\pi\) | |||||||
\(432\) | 16.0780 | + | 9.97749i | 0.773554 | + | 0.480042i | ||||
\(433\) | 19.0390i | 0.914954i | 0.889221 | + | 0.457477i | \(0.151247\pi\) | ||||
−0.889221 | + | 0.457477i | \(0.848753\pi\) | |||||||
\(434\) | −25.2972 | − | 9.30175i | −1.21431 | − | 0.446498i | ||||
\(435\) | −5.34527 | + | 5.34527i | −0.256286 | + | 0.256286i | ||||
\(436\) | 0.0483983 | + | 0.0651950i | 0.00231786 | + | 0.00312227i | ||||
\(437\) | 0.190221 | − | 0.709913i | 0.00909948 | − | 0.0339597i | ||||
\(438\) | 1.90880 | + | 2.21181i | 0.0912062 | + | 0.105684i | ||||
\(439\) | 15.2321 | + | 8.79426i | 0.726988 | + | 0.419727i | 0.817319 | − | 0.576185i | \(-0.195459\pi\) |
−0.0903310 | + | 0.995912i | \(0.528792\pi\) | |||||||
\(440\) | 2.41525 | − | 10.7904i | 0.115143 | − | 0.514411i | ||||
\(441\) | −15.1061 | − | 0.518426i | −0.719339 | − | 0.0246870i | ||||
\(442\) | 5.01931 | − | 0.956977i | 0.238744 | − | 0.0455187i | ||||
\(443\) | −26.1112 | + | 6.99648i | −1.24058 | + | 0.332413i | −0.818691 | − | 0.574234i | \(-0.805300\pi\) |
−0.421890 | + | 0.906647i | \(0.638633\pi\) | |||||||
\(444\) | −13.2066 | + | 16.6558i | −0.626755 | + | 0.790451i | ||||
\(445\) | −5.00241 | + | 18.6693i | −0.237137 | + | 0.885008i | ||||
\(446\) | 13.4863 | + | 27.9048i | 0.638597 | + | 1.32133i | ||||
\(447\) | −6.99837 | −0.331012 | ||||||||
\(448\) | 4.11709 | − | 20.7617i | 0.194514 | − | 0.980900i | ||||
\(449\) | −4.60299 | −0.217228 | −0.108614 | − | 0.994084i | \(-0.534641\pi\) | ||||
−0.108614 | + | 0.994084i | \(0.534641\pi\) | |||||||
\(450\) | −6.65497 | − | 13.7699i | −0.313718 | − | 0.649119i | ||||
\(451\) | −3.07430 | + | 11.4734i | −0.144763 | + | 0.540263i | ||||
\(452\) | 13.7653 | − | 17.3605i | 0.647464 | − | 0.816568i | ||||
\(453\) | 12.4933 | − | 3.34757i | 0.586987 | − | 0.157283i | ||||
\(454\) | 16.0970 | − | 3.06905i | 0.755472 | − | 0.144037i | ||||
\(455\) | −4.89714 | − | 1.40264i | −0.229582 | − | 0.0657568i | ||||
\(456\) | 0.117539 | − | 0.525117i | 0.00550427 | − | 0.0245909i | ||||
\(457\) | 22.3267 | + | 12.8903i | 1.04440 | + | 0.602985i | 0.921076 | − | 0.389382i | \(-0.127311\pi\) |
0.123324 | + | 0.992367i | \(0.460645\pi\) | |||||||
\(458\) | −20.0784 | − | 23.2657i | −0.938204 | − | 1.08713i | ||||
\(459\) | 7.26871 | − | 27.1272i | 0.339274 | − | 1.26619i | ||||
\(460\) | −13.3587 | − | 17.9948i | −0.622852 | − | 0.839014i | ||||
\(461\) | −4.40686 | + | 4.40686i | −0.205248 | + | 0.205248i | −0.802244 | − | 0.596996i | \(-0.796361\pi\) |
0.596996 | + | 0.802244i | \(0.296361\pi\) | |||||||
\(462\) | −4.17750 | + | 0.722452i | −0.194355 | + | 0.0336115i | ||||
\(463\) | 31.0375i | 1.44244i | 0.692708 | + | 0.721218i | \(0.256417\pi\) | ||||
−0.692708 | + | 0.721218i | \(0.743583\pi\) | |||||||
\(464\) | 5.49653 | − | 8.85726i | 0.255170 | − | 0.411188i | ||||
\(465\) | −18.0959 | + | 10.4477i | −0.839177 | + | 0.484499i | ||||
\(466\) | 1.29604 | − | 17.6251i | 0.0600377 | − | 0.816466i | ||||
\(467\) | 35.1942 | − | 9.43026i | 1.62859 | − | 0.436380i | 0.675084 | − | 0.737741i | \(-0.264107\pi\) |
0.953510 | + | 0.301361i | \(0.0974408\pi\) | |||||||
\(468\) | −1.04430 | + | 2.41193i | −0.0482726 | + | 0.111492i | ||||
\(469\) | 0.371224 | − | 21.6402i | 0.0171415 | − | 0.999249i | ||||
\(470\) | 25.2818 | − | 4.82020i | 1.16616 | − | 0.222339i | ||||
\(471\) | −6.70083 | + | 11.6062i | −0.308758 | + | 0.534784i | ||||
\(472\) | −3.57563 | − | 1.87063i | −0.164582 | − | 0.0861026i | ||||
\(473\) | −11.0598 | + | 6.38540i | −0.508532 | + | 0.293601i | ||||
\(474\) | −2.08636 | − | 0.726776i | −0.0958296 | − | 0.0333819i | ||||
\(475\) | −0.734812 | + | 0.734812i | −0.0337155 | + | 0.0337155i | ||||
\(476\) | −31.2640 | + | 3.06878i | −1.43298 | + | 0.140657i | ||||
\(477\) | 7.87773 | + | 7.87773i | 0.360697 | + | 0.360697i | ||||
\(478\) | −9.81688 | + | 4.74448i | −0.449014 | + | 0.217008i | ||||
\(479\) | −4.76900 | − | 8.26015i | −0.217901 | − | 0.377416i | 0.736265 | − | 0.676693i | \(-0.236588\pi\) |
−0.954166 | + | 0.299278i | \(0.903254\pi\) | |||||||
\(480\) | −10.3202 | − | 12.7571i | −0.471051 | − | 0.582280i | ||||
\(481\) | −6.10941 | − | 3.52727i | −0.278565 | − | 0.160830i | ||||
\(482\) | −12.8372 | − | 8.72599i | −0.584719 | − | 0.397458i | ||||
\(483\) | −4.42337 | + | 7.36674i | −0.201270 | + | 0.335198i | ||||
\(484\) | −17.6168 | + | 6.97100i | −0.800764 | + | 0.316864i | ||||
\(485\) | −8.70502 | − | 32.4876i | −0.395275 | − | 1.47518i | ||||
\(486\) | 14.9261 | + | 17.2954i | 0.677060 | + | 0.784536i | ||||
\(487\) | −1.39542 | − | 2.41695i | −0.0632327 | − | 0.109522i | 0.832676 | − | 0.553761i | \(-0.186808\pi\) |
−0.895909 | + | 0.444238i | \(0.853474\pi\) | |||||||
\(488\) | −0.156347 | − | 3.75663i | −0.00707749 | − | 0.170055i | ||||
\(489\) | 0.382770 | 0.0173094 | ||||||||
\(490\) | 29.2041 | + | 11.3106i | 1.31931 | + | 0.510962i | ||||
\(491\) | −14.9085 | − | 14.9085i | −0.672809 | − | 0.672809i | 0.285554 | − | 0.958363i | \(-0.407823\pi\) |
−0.958363 | + | 0.285554i | \(0.907823\pi\) | |||||||
\(492\) | 10.5068 | + | 14.1532i | 0.473684 | + | 0.638077i | ||||
\(493\) | −14.9442 | − | 4.00428i | −0.673052 | − | 0.180344i | ||||
\(494\) | 0.178107 | + | 0.0130969i | 0.00801343 | + | 0.000589256i | ||||
\(495\) | 4.22073 | − | 7.31052i | 0.189708 | − | 0.328583i | ||||
\(496\) | 21.0123 | − | 19.7164i | 0.943481 | − | 0.885294i | ||||
\(497\) | −8.84119 | − | 35.4147i | −0.396582 | − | 1.58857i | ||||
\(498\) | 11.8032 | + | 8.02310i | 0.528912 | + | 0.359524i | ||||
\(499\) | −3.66140 | − | 13.6645i | −0.163907 | − | 0.611708i | −0.998177 | − | 0.0603527i | \(-0.980777\pi\) |
0.834270 | − | 0.551356i | \(-0.185889\pi\) | |||||||
\(500\) | 0.00600879 | + | 0.0520215i | 0.000268721 | + | 0.00232647i | ||||
\(501\) | −2.80705 | − | 0.752147i | −0.125410 | − | 0.0336035i | ||||
\(502\) | −35.6771 | − | 12.4280i | −1.59235 | − | 0.554688i | ||||
\(503\) | 0.855211i | 0.0381320i | 0.999818 | + | 0.0190660i | \(0.00606926\pi\) | ||||
−0.999818 | + | 0.0190660i | \(0.993931\pi\) | |||||||
\(504\) | 7.73489 | − | 14.1871i | 0.344540 | − | 0.631942i | ||||
\(505\) | − | 4.03443i | − | 0.179530i | ||||||
\(506\) | 2.03630 | − | 5.84563i | 0.0905248 | − | 0.259870i | ||||
\(507\) | −11.1855 | − | 2.99716i | −0.496768 | − | 0.133108i | ||||
\(508\) | 28.3467 | + | 22.4764i | 1.25768 | + | 0.997228i | ||||
\(509\) | −4.70706 | − | 17.5670i | −0.208637 | − | 0.778642i | −0.988310 | − | 0.152456i | \(-0.951282\pi\) |
0.779674 | − | 0.626186i | \(-0.215385\pi\) | |||||||
\(510\) | −13.6908 | + | 20.1412i | −0.606239 | + | 0.891867i | ||||
\(511\) | 4.28683 | − | 4.14223i | 0.189638 | − | 0.183242i | ||||
\(512\) | 17.8670 | + | 13.8842i | 0.789616 | + | 0.613601i | ||||
\(513\) | 0.490779 | − | 0.850055i | 0.0216684 | − | 0.0375308i | ||||
\(514\) | 1.82949 | − | 24.8796i | 0.0806952 | − | 1.09739i | ||||
\(515\) | −30.0136 | − | 8.04211i | −1.32256 | − | 0.354378i | ||||
\(516\) | −2.77216 | + | 18.7477i | −0.122038 | + | 0.825321i | ||||
\(517\) | 5.02665 | + | 5.02665i | 0.221072 | + | 0.221072i | ||||
\(518\) | 35.4453 | + | 24.9932i | 1.55738 | + | 1.09814i | ||||
\(519\) | 20.9674 | 0.920368 | ||||||||
\(520\) | 3.68729 | − | 4.00754i | 0.161698 | − | 0.175742i | ||||
\(521\) | 0.473813 | + | 0.820669i | 0.0207581 | + | 0.0359541i | 0.876218 | − | 0.481915i | \(-0.160059\pi\) |
−0.855460 | + | 0.517869i | \(0.826725\pi\) | |||||||
\(522\) | 6.02470 | − | 5.19936i | 0.263694 | − | 0.227570i | ||||
\(523\) | 6.92613 | + | 25.8487i | 0.302859 | + | 1.13028i | 0.934773 | + | 0.355245i | \(0.115603\pi\) |
−0.631915 | + | 0.775038i | \(0.717731\pi\) | |||||||
\(524\) | −2.18817 | + | 5.05385i | −0.0955906 | + | 0.220779i | ||||
\(525\) | 10.6245 | − | 5.89343i | 0.463691 | − | 0.257210i | ||||
\(526\) | 5.70942 | − | 8.39939i | 0.248942 | − | 0.366231i | ||||
\(527\) | −37.0360 | − | 21.3827i | −1.61331 | − | 0.931446i | ||||
\(528\) | 1.31165 | − | 4.33828i | 0.0570823 | − | 0.188799i | ||||
\(529\) | 5.22683 | + | 9.05314i | 0.227254 | + | 0.393615i | ||||
\(530\) | −10.0446 | − | 20.7834i | −0.436310 | − | 0.902775i | ||||
\(531\) | −2.17839 | − | 2.17839i | −0.0945341 | − | 0.0945341i | ||||
\(532\) | −1.08322 | − | 0.179209i | −0.0469637 | − | 0.00776972i | ||||
\(533\) | −4.13658 | + | 4.13658i | −0.179175 | + | 0.179175i | ||||
\(534\) | −2.60606 | + | 7.48123i | −0.112775 | + | 0.323744i | ||||
\(535\) | 28.4680 | − | 16.4360i | 1.23078 | − | 0.710590i | ||||
\(536\) | 20.5016 | + | 10.7256i | 0.885533 | + | 0.463276i | ||||
\(537\) | 6.30603 | − | 10.9224i | 0.272125 | − | 0.471335i | ||||
\(538\) | 4.89344 | + | 25.6659i | 0.210971 | + | 1.10654i | ||||
\(539\) | 1.95094 | + | 8.42732i | 0.0840327 | + | 0.362990i | ||||
\(540\) | −11.0130 | − | 27.8314i | −0.473922 | − | 1.19767i | ||||
\(541\) | −19.9626 | + | 5.34896i | −0.858259 | + | 0.229970i | −0.661004 | − | 0.750382i | \(-0.729869\pi\) |
−0.197255 | + | 0.980352i | \(0.563203\pi\) | |||||||
\(542\) | −1.39018 | − | 0.102225i | −0.0597134 | − | 0.00439094i | ||||
\(543\) | 5.63002 | − | 3.25049i | 0.241607 | − | 0.139492i | ||||
\(544\) | 12.0505 | − | 31.3468i | 0.516659 | − | 1.34398i | ||||
\(545\) | − | 0.128435i | − | 0.00550156i | ||||||
\(546\) | −1.95969 | − | 0.720573i | −0.0838668 | − | 0.0308377i | ||||
\(547\) | 3.84440 | − | 3.84440i | 0.164375 | − | 0.164375i | −0.620127 | − | 0.784502i | \(-0.712919\pi\) |
0.784502 | + | 0.620127i | \(0.212919\pi\) | |||||||
\(548\) | −0.571484 | + | 3.86486i | −0.0244126 | + | 0.165099i | ||||
\(549\) | 0.742910 | − | 2.77258i | 0.0317066 | − | 0.118331i | ||||
\(550\) | −6.62614 | + | 5.71840i | −0.282540 | + | 0.243833i | ||||
\(551\) | −0.468289 | − | 0.270367i | −0.0199498 | − | 0.0115180i | ||||
\(552\) | −4.91984 | − | 7.75746i | −0.209402 | − | 0.330179i | ||||
\(553\) | −1.24123 | + | 4.33359i | −0.0527824 | + | 0.184283i | ||||
\(554\) | −0.0231432 | − | 0.121385i | −0.000983259 | − | 0.00515716i | ||||
\(555\) | 32.4774 | − | 8.70229i | 1.37859 | − | 0.369392i | ||||
\(556\) | −1.69496 | − | 14.6742i | −0.0718822 | − | 0.622324i | ||||
\(557\) | −3.21987 | + | 12.0167i | −0.136430 | + | 0.509165i | 0.863558 | + | 0.504250i | \(0.168231\pi\) |
−0.999988 | + | 0.00491478i | \(0.998436\pi\) | |||||||
\(558\) | 19.8056 | − | 9.57201i | 0.838438 | − | 0.405216i | ||||
\(559\) | −6.28964 | −0.266023 | ||||||||
\(560\) | −24.8043 | + | 22.4871i | −1.04818 | + | 0.950255i | ||||
\(561\) | −6.72665 | −0.284000 | ||||||||
\(562\) | −17.7678 | + | 8.58714i | −0.749489 | + | 0.362227i | ||||
\(563\) | 0.941127 | − | 3.51233i | 0.0396638 | − | 0.148027i | −0.943254 | − | 0.332072i | \(-0.892252\pi\) |
0.982918 | + | 0.184044i | \(0.0589191\pi\) | |||||||
\(564\) | 10.4795 | − | 1.21045i | 0.441268 | − | 0.0509691i | ||||
\(565\) | −33.8514 | + | 9.07045i | −1.42414 | + | 0.381597i | ||||
\(566\) | 3.49994 | + | 18.3571i | 0.147113 | + | 0.771605i | ||||
\(567\) | 4.07238 | − | 3.93501i | 0.171024 | − | 0.165255i | ||||
\(568\) | 38.0796 | + | 8.52352i | 1.59779 | + | 0.357639i | ||||
\(569\) | 14.1011 | + | 8.14128i | 0.591149 | + | 0.341300i | 0.765552 | − | 0.643374i | \(-0.222466\pi\) |
−0.174402 | + | 0.984674i | \(0.555799\pi\) | |||||||
\(570\) | −0.644393 | + | 0.556116i | −0.0269907 | + | 0.0232931i | ||||
\(571\) | 2.01931 | − | 7.53618i | 0.0845056 | − | 0.315379i | −0.910715 | − | 0.413036i | \(-0.864468\pi\) |
0.995220 | + | 0.0976573i | \(0.0311349\pi\) | |||||||
\(572\) | 1.48798 | + | 0.220022i | 0.0622154 | + | 0.00919959i | ||||
\(573\) | −3.48331 | + | 3.48331i | −0.145517 | + | 0.145517i | ||||
\(574\) | 27.6270 | − | 23.0275i | 1.15313 | − | 0.961148i | ||||
\(575\) | 17.7397i | 0.739798i | ||||||||
\(576\) | 9.85036 | + | 14.1905i | 0.410432 | + | 0.591273i | ||||
\(577\) | 31.7171 | − | 18.3119i | 1.32040 | − | 0.762333i | 0.336607 | − | 0.941645i | \(-0.390721\pi\) |
0.983792 | + | 0.179312i | \(0.0573872\pi\) | |||||||
\(578\) | −25.7325 | − | 1.89221i | −1.07033 | − | 0.0787054i | ||||
\(579\) | −0.0636412 | + | 0.0170526i | −0.00264484 | + | 0.000708682i | ||||
\(580\) | −15.3321 | + | 6.06696i | −0.636632 | + | 0.251917i | ||||
\(581\) | 14.9903 | − | 24.9651i | 0.621904 | − | 1.03573i | ||||
\(582\) | −2.58188 | − | 13.5419i | −0.107023 | − | 0.561329i | ||||
\(583\) | 3.18789 | − | 5.52159i | 0.132029 | − | 0.228681i | ||||
\(584\) | 1.90392 | + | 6.08165i | 0.0787847 | + | 0.251661i | ||||
\(585\) | 3.60044 | − | 2.07872i | 0.148860 | − | 0.0859443i | ||||
\(586\) | −0.736512 | + | 2.11431i | −0.0304250 | + | 0.0873413i | ||||
\(587\) | −26.7399 | + | 26.7399i | −1.10367 | + | 1.10367i | −0.109709 | + | 0.993964i | \(0.534992\pi\) |
−0.993964 | + | 0.109709i | \(0.965008\pi\) | |||||||
\(588\) | 11.5980 | + | 5.50139i | 0.478295 | + | 0.226873i | ||||
\(589\) | −1.05690 | − | 1.05690i | −0.0435488 | − | 0.0435488i | ||||
\(590\) | 2.77758 | + | 5.74714i | 0.114351 | + | 0.236606i | ||||
\(591\) | 1.68809 | + | 2.92385i | 0.0694386 | + | 0.120271i | ||||
\(592\) | −40.8705 | + | 21.8940i | −1.67977 | + | 0.899839i | ||||
\(593\) | −4.90827 | − | 2.83379i | −0.201559 | − | 0.116370i | 0.395824 | − | 0.918327i | \(-0.370459\pi\) |
−0.597382 | + | 0.801957i | \(0.703792\pi\) | |||||||
\(594\) | 4.64750 | − | 6.83715i | 0.190689 | − | 0.280532i | ||||
\(595\) | 42.6010 | + | 25.5799i | 1.74647 | + | 1.04867i | ||||
\(596\) | −14.0085 | − | 6.06529i | −0.573812 | − | 0.248444i | ||||
\(597\) | 2.47131 | + | 9.22305i | 0.101144 | + | 0.377474i | ||||
\(598\) | 2.30801 | − | 1.99183i | 0.0943817 | − | 0.0814520i | ||||
\(599\) | 5.10517 | + | 8.84241i | 0.208591 | + | 0.361291i | 0.951271 | − | 0.308356i | \(-0.0997788\pi\) |
−0.742680 | + | 0.669647i | \(0.766445\pi\) | |||||||
\(600\) | 0.540097 | + | 12.9772i | 0.0220494 | + | 0.529792i | ||||
\(601\) | 2.00211 | 0.0816677 | 0.0408339 | − | 0.999166i | \(-0.486999\pi\) | ||||
0.0408339 | + | 0.999166i | \(0.486999\pi\) | |||||||
\(602\) | 38.5098 | + | 3.49679i | 1.56954 | + | 0.142519i | ||||
\(603\) | 12.4902 | + | 12.4902i | 0.508642 | + | 0.508642i | ||||
\(604\) | 27.9089 | + | 4.12680i | 1.13560 | + | 0.167917i | ||||
\(605\) | 28.9473 | + | 7.75641i | 1.17688 | + | 0.315343i | ||||
\(606\) | 0.121271 | − | 1.64919i | 0.00492628 | − | 0.0669936i | ||||
\(607\) | −14.2213 | + | 24.6319i | −0.577223 | + | 0.999779i | 0.418573 | + | 0.908183i | \(0.362530\pi\) |
−0.995796 | + | 0.0915962i | \(0.970803\pi\) | |||||||
\(608\) | 0.690380 | − | 0.949251i | 0.0279986 | − | 0.0384972i | ||||
\(609\) | 4.39299 | + | 4.54634i | 0.178013 | + | 0.184227i | ||||
\(610\) | −3.34339 | + | 4.91862i | −0.135370 | + | 0.199149i | ||||
\(611\) | 0.906145 | + | 3.38178i | 0.0366587 | + | 0.136812i | ||||
\(612\) | 15.9290 | − | 20.0894i | 0.643893 | − | 0.812065i | ||||
\(613\) | 15.4623 | + | 4.14311i | 0.624517 | + | 0.167339i | 0.557180 | − | 0.830392i | \(-0.311883\pi\) |
0.0673365 | + | 0.997730i | \(0.478550\pi\) | |||||||
\(614\) | 10.4343 | − | 29.9539i | 0.421096 | − | 1.20884i | ||||
\(615\) | − | 27.8821i | − | 1.12431i | ||||||
\(616\) | −8.98817 | − | 2.17440i | −0.362144 | − | 0.0876089i | ||||
\(617\) | − | 41.5070i | − | 1.67101i | −0.549485 | − | 0.835504i | \(-0.685176\pi\) | ||
0.549485 | − | 0.835504i | \(-0.314824\pi\) | |||||||
\(618\) | −12.0272 | − | 4.18962i | −0.483804 | − | 0.168531i | ||||
\(619\) | −17.3163 | − | 4.63988i | −0.695999 | − | 0.186492i | −0.106561 | − | 0.994306i | \(-0.533984\pi\) |
−0.589438 | + | 0.807814i | \(0.700651\pi\) | |||||||
\(620\) | −45.2770 | + | 5.22976i | −1.81837 | + | 0.210032i | ||||
\(621\) | −4.33679 | − | 16.1851i | −0.174029 | − | 0.649486i | ||||
\(622\) | −33.3838 | − | 22.6924i | −1.33857 | − | 0.909881i | ||||
\(623\) | 15.5393 | + | 4.45077i | 0.622569 | + | 0.178316i | ||||
\(624\) | 1.62775 | − | 1.52736i | 0.0651621 | − | 0.0611434i | ||||
\(625\) | −12.4793 | + | 21.6147i | −0.499171 | + | 0.864589i | ||||
\(626\) | −0.0879050 | − | 0.00646397i | −0.00351339 | − | 0.000258352i | ||||
\(627\) | −0.227090 | − | 0.0608486i | −0.00906910 | − | 0.00243006i | ||||
\(628\) | −23.4717 | + | 17.4245i | −0.936622 | + | 0.695313i | ||||
\(629\) | 48.6593 | + | 48.6593i | 1.94017 | + | 1.94017i | ||||
\(630\) | −23.2003 | + | 10.7257i | −0.924320 | + | 0.427323i | ||||
\(631\) | −21.0724 | −0.838880 | −0.419440 | − | 0.907783i | \(-0.637774\pi\) | ||||
−0.419440 | + | 0.907783i | \(0.637774\pi\) | |||||||
\(632\) | −3.54636 | − | 3.26296i | −0.141067 | − | 0.129794i | ||||
\(633\) | 1.49188 | + | 2.58402i | 0.0592971 | + | 0.102706i | ||||
\(634\) | −20.9719 | − | 24.3010i | −0.832900 | − | 0.965115i | ||||
\(635\) | −14.8105 | − | 55.2736i | −0.587737 | − | 2.19347i | ||||
\(636\) | −3.48129 | − | 8.79776i | −0.138042 | − | 0.348854i | ||||
\(637\) | −1.24312 | + | 4.07483i | −0.0492543 | + | 0.161451i | ||||
\(638\) | −3.76654 | − | 2.56027i | −0.149119 | − | 0.101362i | ||||
\(639\) | 25.7991 | + | 14.8951i | 1.02060 | + | 0.589242i | ||||
\(640\) | −9.60158 | − | 34.4800i | −0.379536 | − | 1.36294i | ||||
\(641\) | 13.5748 | + | 23.5122i | 0.536171 | + | 0.928675i | 0.999106 | + | 0.0422829i | \(0.0134631\pi\) |
−0.462935 | + | 0.886392i | \(0.653204\pi\) | |||||||
\(642\) | 12.1311 | − | 5.86296i | 0.478778 | − | 0.231393i | ||||
\(643\) | −21.2081 | − | 21.2081i | −0.836367 | − | 0.836367i | 0.152012 | − | 0.988379i | \(-0.451425\pi\) |
−0.988379 | + | 0.152012i | \(0.951425\pi\) | |||||||
\(644\) | −15.2387 | + | 10.9123i | −0.600491 | + | 0.430005i | ||||
\(645\) | 21.1972 | − | 21.1972i | 0.834640 | − | 0.834640i | ||||
\(646\) | −1.64511 | − | 0.573069i | −0.0647261 | − | 0.0225471i | ||||
\(647\) | −34.8692 | + | 20.1317i | −1.37085 | + | 0.791460i | −0.991035 | − | 0.133603i | \(-0.957345\pi\) |
−0.379814 | + | 0.925063i | \(0.624012\pi\) | |||||||
\(648\) | 1.80867 | + | 5.77742i | 0.0710514 | + | 0.226958i | ||||
\(649\) | −0.881532 | + | 1.52686i | −0.0346032 | + | 0.0599344i | ||||
\(650\) | −4.23433 | + | 0.807314i | −0.166084 | + | 0.0316654i | ||||
\(651\) | 8.47667 | + | 15.2815i | 0.332227 | + | 0.598929i | ||||
\(652\) | 0.766185 | + | 0.331735i | 0.0300061 | + | 0.0129918i | ||||
\(653\) | 22.4874 | − | 6.02549i | 0.880001 | − | 0.235796i | 0.209594 | − | 0.977789i | \(-0.432786\pi\) |
0.670408 | + | 0.741993i | \(0.266119\pi\) | |||||||
\(654\) | 0.00386063 | − | 0.0525015i | 0.000150963 | − | 0.00205297i | ||||
\(655\) | 7.54420 | − | 4.35564i | 0.294776 | − | 0.170189i | ||||
\(656\) | 8.76517 | + | 37.4363i | 0.342223 | + | 1.46164i | ||||
\(657\) | 4.86507i | 0.189805i | ||||||||
\(658\) | −3.66795 | − | 21.2095i | −0.142992 | − | 0.826834i | ||||
\(659\) | −21.3113 | + | 21.3113i | −0.830171 | + | 0.830171i | −0.987540 | − | 0.157369i | \(-0.949699\pi\) |
0.157369 | + | 0.987540i | \(0.449699\pi\) | |||||||
\(660\) | −5.75627 | + | 4.27324i | −0.224062 | + | 0.166336i | ||||
\(661\) | −2.83124 | + | 10.5663i | −0.110122 | + | 0.410983i | −0.998876 | − | 0.0474031i | \(-0.984905\pi\) |
0.888753 | + | 0.458386i | \(0.151572\pi\) | |||||||
\(662\) | −14.8499 | − | 17.2072i | −0.577160 | − | 0.668778i | ||||
\(663\) | −2.86904 | − | 1.65644i | −0.111424 | − | 0.0643309i | ||||
\(664\) | 16.6728 | + | 26.2892i | 0.647031 | + | 1.02022i | ||||
\(665\) | 1.20681 | + | 1.24893i | 0.0467980 | + | 0.0484316i | ||||
\(666\) | −34.7701 | + | 6.62923i | −1.34731 | + | 0.256877i | ||||
\(667\) | −8.91627 | + | 2.38911i | −0.345239 | + | 0.0925066i | ||||
\(668\) | −4.96697 | − | 3.93835i | −0.192178 | − | 0.152379i | ||||
\(669\) | 5.20076 | − | 19.4095i | 0.201073 | − | 0.750415i | ||||
\(670\) | −15.9258 | − | 32.9524i | −0.615268 | − | 1.27306i | ||||
\(671\) | −1.64270 | −0.0634156 | ||||||||
\(672\) | −10.8154 | + | 8.44667i | −0.417214 | + | 0.325837i | ||||
\(673\) | 35.4992 | 1.36839 | 0.684197 | − | 0.729297i | \(-0.260153\pi\) | ||||
0.684197 | + | 0.729297i | \(0.260153\pi\) | |||||||
\(674\) | 9.40957 | + | 19.4695i | 0.362443 | + | 0.749937i | ||||
\(675\) | −6.13194 | + | 22.8847i | −0.236019 | + | 0.880833i | ||||
\(676\) | −19.7924 | − | 15.6936i | −0.761246 | − | 0.603599i | ||||
\(677\) | −29.1487 | + | 7.81038i | −1.12028 | + | 0.300177i | −0.770996 | − | 0.636840i | \(-0.780241\pi\) |
−0.349282 | + | 0.937018i | \(0.613574\pi\) | |||||||
\(678\) | −14.1104 | + | 2.69027i | −0.541905 | + | 0.103319i | ||||
\(679\) | −27.2907 | + | 6.81304i | −1.04732 | + | 0.261461i | ||||
\(680\) | −44.8605 | + | 28.4509i | −1.72032 | + | 1.09104i | ||||
\(681\) | −9.20109 | − | 5.31225i | −0.352586 | − | 0.203566i | ||||
\(682\) | −8.22493 | − | 9.53055i | −0.314949 | − | 0.364944i | ||||
\(683\) | 8.65981 | − | 32.3188i | 0.331358 | − | 1.23665i | −0.576405 | − | 0.817164i | \(-0.695545\pi\) |
0.907764 | − | 0.419482i | \(-0.137788\pi\) | |||||||
\(684\) | 0.719487 | − | 0.534120i | 0.0275103 | − | 0.0204226i | ||||
\(685\) | 4.36983 | − | 4.36983i | 0.166963 | − | 0.166963i | ||||
\(686\) | 9.87676 | − | 24.2580i | 0.377096 | − | 0.926174i | ||||
\(687\) | 19.9249i | 0.760180i | ||||||||
\(688\) | −21.7971 | + | 35.1244i | −0.831006 | + | 1.33911i | ||||
\(689\) | 2.71939 | − | 1.57004i | 0.103601 | − | 0.0598138i | ||||
\(690\) | −1.06559 | + | 14.4913i | −0.0405665 | + | 0.551673i | ||||
\(691\) | −43.6058 | + | 11.6842i | −1.65884 | + | 0.444486i | −0.962070 | − | 0.272804i | \(-0.912049\pi\) |
−0.696775 | + | 0.717290i | \(0.745382\pi\) | |||||||
\(692\) | 41.9702 | + | 18.1719i | 1.59547 | + | 0.690790i | ||||
\(693\) | −6.05245 | − | 3.63420i | −0.229913 | − | 0.138052i | ||||
\(694\) | 38.2886 | − | 7.30006i | 1.45341 | − | 0.277107i | ||||
\(695\) | −11.6829 | + | 20.2354i | −0.443159 | + | 0.767573i | ||||
\(696\) | −6.44982 | + | 2.01917i | −0.244480 | + | 0.0765366i | ||||
\(697\) | 49.4197 | − | 28.5325i | 1.87190 | − | 1.08074i | ||||
\(698\) | −32.2600 | − | 11.2376i | −1.22106 | − | 0.425351i | ||||
\(699\) | −8.10207 | + | 8.10207i | −0.306448 | + | 0.306448i | ||||
\(700\) | 26.3746 | − | 2.58885i | 0.996865 | − | 0.0978493i | ||||
\(701\) | 7.35956 | + | 7.35956i | 0.277967 | + | 0.277967i | 0.832297 | − | 0.554330i | \(-0.187026\pi\) |
−0.554330 | + | 0.832297i | \(0.687026\pi\) | |||||||
\(702\) | 3.66590 | − | 1.77172i | 0.138360 | − | 0.0668694i | ||||
\(703\) | 1.20256 | + | 2.08289i | 0.0453554 | + | 0.0785578i | ||||
\(704\) | 6.38538 | − | 7.54710i | 0.240658 | − | 0.284442i | ||||
\(705\) | −14.4511 | − | 8.34334i | −0.544259 | − | 0.314228i | ||||
\(706\) | 27.4077 | + | 18.6301i | 1.03150 | + | 0.701154i | ||||
\(707\) | −3.37355 | − | 0.0578713i | −0.126875 | − | 0.00217647i | ||||
\(708\) | 0.962664 | + | 2.43280i | 0.0361791 | + | 0.0914302i | ||||
\(709\) | 1.60277 | + | 5.98162i | 0.0601933 | + | 0.224644i | 0.989470 | − | 0.144741i | \(-0.0462349\pi\) |
−0.929276 | + | 0.369385i | \(0.879568\pi\) | |||||||
\(710\) | −40.3275 | − | 46.7291i | −1.51347 | − | 1.75371i | ||||
\(711\) | −1.83950 | − | 3.18611i | −0.0689867 | − | 0.119488i | ||||
\(712\) | −11.7003 | + | 12.7165i | −0.438486 | + | 0.476570i | ||||
\(713\) | −25.5155 | −0.955563 | ||||||||
\(714\) | 16.6455 | + | 11.7370i | 0.622942 | + | 0.439248i | ||||
\(715\) | −1.68239 | − | 1.68239i | −0.0629179 | − | 0.0629179i | ||||
\(716\) | 22.0888 | − | 16.3979i | 0.825497 | − | 0.612818i | ||||
\(717\) | 6.82825 | + | 1.82962i | 0.255006 | + | 0.0683286i | ||||
\(718\) | 12.2925 | + | 0.903911i | 0.458752 | + | 0.0337337i | ||||
\(719\) | 9.05536 | − | 15.6843i | 0.337708 | − | 0.584927i | −0.646293 | − | 0.763089i | \(-0.723682\pi\) |
0.984001 | + | 0.178162i | \(0.0570150\pi\) | |||||||
\(720\) | 0.868948 | − | 27.3105i | 0.0323838 | − | 1.01780i | ||||
\(721\) | −7.15527 | + | 24.9817i | −0.266476 | + | 0.930368i | ||||
\(722\) | 22.1719 | + | 15.0712i | 0.825152 | + | 0.560890i | ||||
\(723\) | 2.60469 | + | 9.72085i | 0.0968696 | + | 0.361522i | ||||
\(724\) | 14.0866 | − | 1.62709i | 0.523525 | − | 0.0604703i | ||||
\(725\) | 12.6070 | + | 3.37804i | 0.468213 | + | 0.125457i | ||||
\(726\) | 11.5999 | + | 4.04078i | 0.430513 | + | 0.149967i | ||||
\(727\) | − | 39.2154i | − | 1.45442i | −0.686415 | − | 0.727210i | \(-0.740817\pi\) | ||
0.686415 | − | 0.727210i | \(-0.259183\pi\) | |||||||
\(728\) | −3.29818 | − | 3.14076i | −0.122239 | − | 0.116404i | ||||
\(729\) | − | 8.39075i | − | 0.310768i | ||||||
\(730\) | 3.31601 | − | 9.51928i | 0.122731 | − | 0.352324i | ||||
\(731\) | 59.2627 | + | 15.8794i | 2.19191 | + | 0.587321i | ||||
\(732\) | −1.51456 | + | 1.91013i | −0.0559796 | + | 0.0706004i | ||||
\(733\) | 3.17448 | + | 11.8473i | 0.117252 | + | 0.437591i | 0.999446 | − | 0.0332965i | \(-0.0106006\pi\) |
−0.882193 | + | 0.470887i | \(0.843934\pi\) | |||||||
\(734\) | 2.24844 | − | 3.30779i | 0.0829915 | − | 0.122093i | ||||
\(735\) | −9.54336 | − | 17.9225i | −0.352012 | − | 0.661080i | ||||
\(736\) | −3.12482 | − | 19.7919i | −0.115182 | − | 0.729538i | ||||
\(737\) | 5.05444 | − | 8.75454i | 0.186183 | − | 0.322478i | ||||
\(738\) | −2.15259 | + | 29.2736i | −0.0792381 | + | 1.07758i | ||||
\(739\) | 24.0358 | + | 6.44036i | 0.884170 | + | 0.236913i | 0.672205 | − | 0.740365i | \(-0.265347\pi\) |
0.211964 | + | 0.977277i | \(0.432014\pi\) | |||||||
\(740\) | 72.5515 | + | 10.7280i | 2.66705 | + | 0.394368i | ||||
\(741\) | −0.0818741 | − | 0.0818741i | −0.00300772 | − | 0.00300772i | ||||
\(742\) | −17.5230 | + | 8.10108i | −0.643290 | + | 0.297400i | ||||
\(743\) | 18.0234 | 0.661215 | 0.330608 | − | 0.943768i | \(-0.392746\pi\) | ||||
0.330608 | + | 0.943768i | \(0.392746\pi\) | |||||||
\(744\) | −18.6655 | + | 0.776836i | −0.684309 | + | 0.0284802i | ||||
\(745\) | 12.0732 | + | 20.9114i | 0.442328 | + | 0.766135i | ||||
\(746\) | −15.1581 | + | 13.0815i | −0.554977 | + | 0.478949i | ||||
\(747\) | 6.15102 | + | 22.9559i | 0.225054 | + | 0.839913i | ||||
\(748\) | −13.4646 | − | 5.82980i | −0.492316 | − | 0.213158i | ||||
\(749\) | −13.3353 | − | 24.0404i | −0.487260 | − | 0.878418i | ||||
\(750\) | 0.0190868 | − | 0.0280794i | 0.000696950 | − | 0.00102532i | ||||
\(751\) | −25.9408 | − | 14.9769i | −0.946594 | − | 0.546516i | −0.0545727 | − | 0.998510i | \(-0.517380\pi\) |
−0.892021 | + | 0.451994i | \(0.850713\pi\) | |||||||
\(752\) | 22.0258 | + | 6.65937i | 0.803199 | + | 0.242842i | ||||
\(753\) | 12.2472 | + | 21.2128i | 0.446314 | + | 0.773038i | ||||
\(754\) | −0.976030 | − | 2.01952i | −0.0355449 | − | 0.0735465i | ||||
\(755\) | −31.5555 | − | 31.5555i | −1.14842 | − | 1.14842i | ||||
\(756\) | −23.4304 | + | 8.80971i | −0.852154 | + | 0.320406i | ||||
\(757\) | −11.9616 | + | 11.9616i | −0.434752 | + | 0.434752i | −0.890241 | − | 0.455489i | \(-0.849464\pi\) |
0.455489 | + | 0.890241i | \(0.349464\pi\) | |||||||
\(758\) | −6.73991 | + | 19.3483i | −0.244805 | + | 0.702762i | ||||
\(759\) | −3.47569 | + | 2.00669i | −0.126159 | + | 0.0728382i | ||||
\(760\) | −1.77184 | + | 0.554692i | −0.0642715 | + | 0.0201208i | ||||
\(761\) | −14.7438 | + | 25.5370i | −0.534462 | + | 0.925715i | 0.464728 | + | 0.885454i | \(0.346152\pi\) |
−0.999189 | + | 0.0402609i | \(0.987181\pi\) | |||||||
\(762\) | −4.39276 | − | 23.0399i | −0.159133 | − | 0.834646i | ||||
\(763\) | −0.107396 | − | 0.00184232i | −0.00388801 | − | 6.66965e-5i | ||||
\(764\) | −9.99138 | + | 3.95361i | −0.361475 | + | 0.143037i | ||||
\(765\) | −39.1725 | + | 10.4962i | −1.41628 | + | 0.379492i | ||||
\(766\) | −9.04696 | − | 0.665256i | −0.326880 | − | 0.0240367i | ||||
\(767\) | −0.751980 | + | 0.434156i | −0.0271524 | + | 0.0156765i | ||||
\(768\) | −2.88849 | − | 14.3833i | −0.104229 | − | 0.519012i | ||||
\(769\) | − | 19.9592i | − | 0.719746i | −0.933001 | − | 0.359873i | \(-0.882820\pi\) | ||
0.933001 | − | 0.359873i | \(-0.117180\pi\) | |||||||
\(770\) | 9.36551 | + | 11.2362i | 0.337510 | + | 0.404925i | ||||
\(771\) | −11.4369 | + | 11.4369i | −0.411890 | + | 0.411890i | ||||
\(772\) | −0.142169 | − | 0.0210220i | −0.00511676 | − | 0.000756599i | ||||
\(773\) | −2.45291 | + | 9.15439i | −0.0882251 | + | 0.329261i | −0.995905 | − | 0.0904018i | \(-0.971185\pi\) |
0.907680 | + | 0.419662i | \(0.137852\pi\) | |||||||
\(774\) | −23.8916 | + | 20.6186i | −0.858766 | + | 0.741121i | ||||
\(775\) | 31.2439 | + | 18.0387i | 1.12231 | + | 0.647968i | ||||
\(776\) | 6.56825 | − | 29.3443i | 0.235786 | − | 1.05340i | ||||
\(777\) | −6.81091 | − | 27.2821i | −0.244340 | − | 0.978741i | ||||
\(778\) | 4.50459 | + | 23.6264i | 0.161497 | + | 0.847048i | ||||
\(779\) | 1.92650 | − | 0.516203i | 0.0690239 | − | 0.0184949i | ||||
\(780\) | −3.50744 | + | 0.405131i | −0.125587 | + | 0.0145060i | ||||
\(781\) | 4.41253 | − | 16.4678i | 0.157893 | − | 0.589263i | ||||
\(782\) | −26.7755 | + | 12.9406i | −0.957490 | + | 0.462753i | ||||
\(783\) | −12.3280 | −0.440569 | ||||||||
\(784\) | 18.4477 | + | 21.0637i | 0.658848 | + | 0.752276i | ||||
\(785\) | 46.2396 | 1.65036 | ||||||||
\(786\) | 3.21483 | − | 1.55372i | 0.114669 | − | 0.0554195i | ||||
\(787\) | 13.4203 | − | 50.0852i | 0.478382 | − | 1.78535i | −0.129792 | − | 0.991541i | \(-0.541431\pi\) |
0.608174 | − | 0.793804i | \(-0.291902\pi\) | |||||||
\(788\) | 0.845001 | + | 7.31565i | 0.0301019 | + | 0.260609i | ||||
\(789\) | −6.36035 | + | 1.70425i | −0.226435 | + | 0.0606730i | ||||
\(790\) | 1.42764 | + | 7.48792i | 0.0507931 | + | 0.266408i | ||||
\(791\) | 7.09905 | + | 28.4363i | 0.252413 | + | 1.01108i | ||||
\(792\) | 6.37345 | − | 4.04210i | 0.226471 | − | 0.143630i | ||||
\(793\) | −0.700641 | − | 0.404515i | −0.0248805 | − | 0.0143648i | ||||
\(794\) | 11.8473 | − | 10.2243i | 0.420444 | − | 0.362846i | ||||
\(795\) | −3.87352 | + | 14.4562i | −0.137380 | + | 0.512708i | ||||
\(796\) | −3.04657 | + | 20.6035i | −0.107983 | + | 0.730271i | ||||
\(797\) | −17.7503 | + | 17.7503i | −0.628747 | + | 0.628747i | −0.947753 | − | 0.319006i | \(-0.896651\pi\) |
0.319006 | + | 0.947753i | \(0.396651\pi\) | |||||||
\(798\) | 0.455775 | + | 0.546813i | 0.0161343 | + | 0.0193570i | ||||
\(799\) | − | 34.1518i | − | 1.20820i | ||||||
\(800\) | −10.1659 | + | 26.4444i | −0.359418 | + | 0.934950i | ||||
\(801\) | −11.4247 | + | 6.59605i | −0.403672 | + | 0.233060i | ||||
\(802\) | 21.4184 | + | 1.57497i | 0.756310 | + | 0.0556142i | ||||
\(803\) | 2.68937 | − | 0.720614i | 0.0949058 | − | 0.0254299i | ||||
\(804\) | −5.51962 | − | 13.9489i | −0.194662 | − | 0.491941i | ||||
\(805\) | 29.6431 | + | 0.508510i | 1.04478 | + | 0.0179226i | ||||
\(806\) | −1.16118 | − | 6.09035i | −0.0409008 | − | 0.214524i | ||||
\(807\) | 8.47012 | − | 14.6707i | 0.298162 | − | 0.516432i | ||||
\(808\) | 1.67205 | − | 3.19605i | 0.0588225 | − | 0.112437i | ||||
\(809\) | −10.0608 | + | 5.80862i | −0.353720 | + | 0.204220i | −0.666322 | − | 0.745664i | \(-0.732133\pi\) |
0.312603 | + | 0.949884i | \(0.398799\pi\) | |||||||
\(810\) | 3.15012 | − | 9.04307i | 0.110684 | − | 0.317741i | ||||
\(811\) | 21.2042 | − | 21.2042i | 0.744579 | − | 0.744579i | −0.228877 | − | 0.973455i | \(-0.573505\pi\) |
0.973455 | + | 0.228877i | \(0.0735053\pi\) | |||||||
\(812\) | 4.85320 | + | 12.9076i | 0.170314 | + | 0.452969i | ||||
\(813\) | 0.639052 | + | 0.639052i | 0.0224125 | + | 0.0224125i | ||||
\(814\) | 8.81472 | + | 18.2387i | 0.308956 | + | 0.639265i | ||||
\(815\) | −0.660334 | − | 1.14373i | −0.0231305 | − | 0.0400632i | ||||
\(816\) | −19.1932 | + | 10.2817i | −0.671897 | + | 0.359930i | ||||
\(817\) | 1.85705 | + | 1.07217i | 0.0649700 | + | 0.0375105i | ||||
\(818\) | −4.22210 | + | 6.21133i | −0.147622 | + | 0.217174i | ||||
\(819\) | −1.68656 | − | 3.04047i | −0.0589331 | − | 0.106243i | ||||
\(820\) | 24.1646 | − | 55.8112i | 0.843865 | − | 1.94901i | ||||
\(821\) | 7.04075 | + | 26.2764i | 0.245724 | + | 0.917054i | 0.973018 | + | 0.230728i | \(0.0741109\pi\) |
−0.727294 | + | 0.686326i | \(0.759222\pi\) | |||||||
\(822\) | 1.91765 | − | 1.65494i | 0.0668856 | − | 0.0577227i | ||||
\(823\) | −0.476705 | − | 0.825677i | −0.0166169 | − | 0.0287813i | 0.857597 | − | 0.514322i | \(-0.171956\pi\) |
−0.874214 | + | 0.485540i | \(0.838623\pi\) | |||||||
\(824\) | −20.4436 | − | 18.8099i | −0.712187 | − | 0.655274i | ||||
\(825\) | 5.67466 | 0.197566 | ||||||||
\(826\) | 4.84555 | − | 2.24015i | 0.168598 | − | 0.0779448i | ||||
\(827\) | 0.699424 | + | 0.699424i | 0.0243213 | + | 0.0243213i | 0.719163 | − | 0.694842i | \(-0.244526\pi\) |
−0.694842 | + | 0.719163i | \(0.744526\pi\) | |||||||
\(828\) | 2.23755 | − | 15.1322i | 0.0777602 | − | 0.525880i | ||||
\(829\) | −39.6244 | − | 10.6173i | −1.37621 | − | 0.368755i | −0.506468 | − | 0.862259i | \(-0.669049\pi\) |
−0.869743 | + | 0.493504i | \(0.835716\pi\) | |||||||
\(830\) | 3.61119 | − | 49.1093i | 0.125346 | − | 1.70461i | ||||
\(831\) | −0.0400588 | + | 0.0693838i | −0.00138962 | + | 0.00240690i | ||||
\(832\) | 4.58196 | − | 1.64657i | 0.158851 | − | 0.0570847i | ||||
\(833\) | 22.0007 | − | 35.2557i | 0.762280 | − | 1.22154i | ||||
\(834\) | −5.38399 | + | 7.92063i | −0.186432 | + | 0.274269i | ||||
\(835\) | 2.59513 | + | 9.68515i | 0.0898081 | + | 0.335168i | ||||
\(836\) | −0.401827 | − | 0.318612i | −0.0138975 | − | 0.0110194i | ||||
\(837\) | −32.9157 | − | 8.81974i | −1.13773 | − | 0.304855i | ||||
\(838\) | −5.08916 | + | 14.6095i | −0.175802 | + | 0.504676i | ||||
\(839\) | 5.46062i | 0.188522i | 0.995548 | + | 0.0942608i | \(0.0300488\pi\) | ||||
−0.995548 | + | 0.0942608i | \(0.969951\pi\) | |||||||
\(840\) | 21.7004 | − | 0.530510i | 0.748735 | − | 0.0183043i | ||||
\(841\) | − | 22.2086i | − | 0.765813i | ||||||
\(842\) | −9.04974 | − | 3.15244i | −0.311875 | − | 0.108640i | ||||
\(843\) | 12.3586 | + | 3.31147i | 0.425653 | + | 0.114053i | ||||
\(844\) | 0.746789 | + | 6.46537i | 0.0257055 | + | 0.222547i | ||||
\(845\) | 10.3411 | + | 38.5934i | 0.355744 | + | 1.32765i | ||||
\(846\) | 14.5282 | + | 9.87540i | 0.499488 | + | 0.339523i | ||||
\(847\) | 6.90107 | − | 24.0942i | 0.237124 | − | 0.827887i | ||||
\(848\) | 0.656311 | − | 20.6275i | 0.0225378 | − | 0.708351i | ||||
\(849\) | 6.05809 | − | 10.4929i | 0.207913 | − | 0.360116i | ||||
\(850\) | 41.9353 | + | 3.08365i | 1.43837 | + | 0.105768i | ||||
\(851\) | 39.6585 | + | 10.6265i | 1.35947 | + | 0.364270i | ||||
\(852\) | −15.0804 | − | 20.3141i | −0.516646 | − | 0.695949i | ||||
\(853\) | −35.1393 | − | 35.1393i | −1.20315 | − | 1.20315i | −0.973204 | − | 0.229943i | \(-0.926146\pi\) |
−0.229943 | − | 0.973204i | \(-0.573854\pi\) | |||||||
\(854\) | 4.06495 | + | 2.86627i | 0.139100 | + | 0.0980817i | ||||
\(855\) | −1.41740 | −0.0484741 | ||||||||
\(856\) | 29.3640 | − | 1.22210i | 1.00364 | − | 0.0417704i | ||||
\(857\) | 22.4781 | + | 38.9331i | 0.767836 | + | 1.32993i | 0.938734 | + | 0.344642i | \(0.112000\pi\) |
−0.170899 | + | 0.985289i | \(0.554667\pi\) | |||||||
\(858\) | −0.637155 | − | 0.738297i | −0.0217521 | − | 0.0252051i | ||||
\(859\) | 5.94943 | + | 22.2036i | 0.202992 | + | 0.757577i | 0.990052 | + | 0.140700i | \(0.0449354\pi\) |
−0.787060 | + | 0.616876i | \(0.788398\pi\) | |||||||
\(860\) | 60.8012 | − | 24.0592i | 2.07330 | − | 0.820411i | ||||
\(861\) | −23.3148 | − | 0.399951i | −0.794565 | − | 0.0136303i | ||||
\(862\) | 2.97862 | + | 2.02469i | 0.101452 | + | 0.0689614i | ||||
\(863\) | −28.2948 | − | 16.3360i | −0.963168 | − | 0.556085i | −0.0660212 | − | 0.997818i | \(-0.521031\pi\) |
−0.897147 | + | 0.441733i | \(0.854364\pi\) | |||||||
\(864\) | 2.81019 | − | 26.6122i | 0.0956047 | − | 0.905365i | ||||
\(865\) | −36.1719 | − | 62.6515i | −1.22988 | − | 2.13021i | ||||
\(866\) | 24.2424 | − | 11.7163i | 0.823789 | − | 0.398136i | ||||
\(867\) | 11.8290 | + | 11.8290i | 0.401734 | + | 0.401734i | ||||
\(868\) | 3.72361 | + | 37.9352i | 0.126388 | + | 1.28761i | ||||
\(869\) | −1.48879 | + | 1.48879i | −0.0505036 | + | 0.0505036i | ||||
\(870\) | 10.0955 | + | 3.51675i | 0.342271 | + | 0.119229i | ||||
\(871\) | 4.31162 | − | 2.48932i | 0.146094 | − | 0.0843473i | ||||
\(872\) | 0.0532293 | − | 0.101746i | 0.00180257 | − | 0.00344554i | ||||
\(873\) | 11.4782 | − | 19.8808i | 0.388479 | − | 0.672865i | ||||
\(874\) | −1.02099 | + | 0.194662i | −0.0345356 | + | 0.00658452i | ||||
\(875\) | −0.0593914 | − | 0.0356617i | −0.00200780 | − | 0.00120558i | ||||
\(876\) | 1.64165 | − | 3.79160i | 0.0554663 | − | 0.128106i | ||||
\(877\) | 17.4007 | − | 4.66251i | 0.587580 | − | 0.157442i | 0.0472331 | − | 0.998884i | \(-0.484960\pi\) |
0.540347 | + | 0.841442i | \(0.318293\pi\) | |||||||
\(878\) | 1.82414 | − | 24.8069i | 0.0615619 | − | 0.837194i | ||||
\(879\) | 1.25712 | − | 0.725800i | 0.0424017 | − | 0.0244806i | ||||
\(880\) | −15.2257 | + | 3.56489i | −0.513259 | + | 0.120172i | ||||
\(881\) | − | 21.0017i | − | 0.707564i | −0.935328 | − | 0.353782i | \(-0.884895\pi\) | ||
0.935328 | − | 0.353782i | \(-0.115105\pi\) | |||||||
\(882\) | 8.63597 | + | 19.5537i | 0.290788 | + | 0.658407i | ||||
\(883\) | −29.0326 | + | 29.0326i | −0.977024 | + | 0.977024i | −0.999742 | − | 0.0227184i | \(-0.992768\pi\) |
0.0227184 | + | 0.999742i | \(0.492768\pi\) | |||||||
\(884\) | −4.30733 | − | 5.80219i | −0.144871 | − | 0.195149i | ||||
\(885\) | 1.07112 | − | 3.99749i | 0.0360055 | − | 0.134374i | ||||
\(886\) | 24.9771 | + | 28.9420i | 0.839122 | + | 0.972324i | ||||
\(887\) | −33.1149 | − | 19.1189i | −1.11189 | − | 0.641949i | −0.172571 | − | 0.984997i | \(-0.555207\pi\) |
−0.939318 | + | 0.343048i | \(0.888541\pi\) | |||||||
\(888\) | 29.3350 | + | 6.56619i | 0.984420 | + | 0.220347i | ||||
\(889\) | −46.4317 | + | 11.5916i | −1.55727 | + | 0.388768i | ||||
\(890\) | 26.8500 | − | 5.11920i | 0.900015 | − | 0.171596i | ||||
\(891\) | 2.55483 | − | 0.684565i | 0.0855901 | − | 0.0229338i | ||||
\(892\) | 27.2320 | − | 34.3444i | 0.911793 | − | 1.14994i | ||||
\(893\) | 0.308934 | − | 1.15296i | 0.0103381 | − | 0.0385822i | ||||
\(894\) | 4.30670 | + | 8.91105i | 0.144037 | + | 0.298030i | ||||
\(895\) | −43.5153 | −1.45456 | ||||||||
\(896\) | −28.9696 | + | 7.53416i | −0.967806 | + | 0.251699i | ||||
\(897\) | −1.97659 | −0.0659966 | ||||||||
\(898\) | 2.83261 | + | 5.86100i | 0.0945254 | + | 0.195584i | ||||
\(899\) | −4.85873 | + | 18.1330i | −0.162048 | + | 0.604770i | ||||
\(900\) | −13.4379 | + | 16.9476i | −0.447929 | + | 0.564919i | ||||
\(901\) | −29.5867 | + | 7.92774i | −0.985677 | + | 0.264111i | ||||
\(902\) | 16.5010 | − | 3.14607i | 0.549424 | − | 0.104753i | ||||
\(903\) | −17.4209 | − | 18.0290i | −0.579730 | − | 0.599967i | ||||
\(904\) | −30.5761 | − | 6.84398i | −1.01695 | − | 0.227627i | ||||
\(905\) | −19.4252 | − | 11.2151i | −0.645715 | − | 0.372804i | ||||
\(906\) | −11.9507 | − | 13.8477i | −0.397035 | − | 0.460060i | ||||
\(907\) | −13.8034 | + | 51.5149i | −0.458334 | + | 1.71052i | 0.219764 | + | 0.975553i | \(0.429471\pi\) |
−0.678098 | + | 0.734972i | \(0.737195\pi\) | |||||||
\(908\) | −13.8137 | − | 18.6078i | −0.458424 | − | 0.617521i | ||||
\(909\) | 1.94714 | − | 1.94714i | 0.0645826 | − | 0.0645826i | ||||
\(910\) | 1.22764 | + | 7.09871i | 0.0406960 | + | 0.235320i | ||||
\(911\) | − | 20.1673i | − | 0.668171i | −0.942543 | − | 0.334086i | \(-0.891573\pi\) | ||
0.942543 | − | 0.334086i | \(-0.108427\pi\) | |||||||
\(912\) | −0.740965 | + | 0.173486i | −0.0245358 | + | 0.00574471i | ||||
\(913\) | 11.7787 | − | 6.80046i | 0.389819 | − | 0.225062i | ||||
\(914\) | 2.67377 | − | 36.3612i | 0.0884405 | − | 1.20272i | ||||
\(915\) | 3.72458 | − | 0.997998i | 0.123131 | − | 0.0329928i | ||||
\(916\) | −17.2683 | + | 39.8833i | −0.570560 | + | 1.31778i | ||||
\(917\) | −3.53393 | − | 6.37087i | −0.116701 | − | 0.210385i | ||||
\(918\) | −39.0142 | + | 7.43841i | −1.28766 | + | 0.245504i | ||||
\(919\) | 6.69691 | − | 11.5994i | 0.220911 | − | 0.382628i | −0.734174 | − | 0.678961i | \(-0.762430\pi\) |
0.955085 | + | 0.296333i | \(0.0957638\pi\) | |||||||
\(920\) | −14.6921 | + | 28.0834i | −0.484385 | + | 0.925883i | ||||
\(921\) | −17.8100 | + | 10.2826i | −0.586859 | + | 0.338823i | ||||
\(922\) | 8.32318 | + | 2.89935i | 0.274109 | + | 0.0954850i | ||||
\(923\) | 5.93723 | − | 5.93723i | 0.195426 | − | 0.195426i | ||||
\(924\) | 3.49067 | + | 4.87464i | 0.114835 | + | 0.160364i | ||||
\(925\) | −41.0494 | − | 41.0494i | −1.34970 | − | 1.34970i | ||||
\(926\) | 39.5202 | − | 19.1000i | 1.29871 | − | 0.627666i | ||||
\(927\) | −10.6041 | − | 18.3669i | −0.348285 | − | 0.603247i | ||||
\(928\) | −14.6605 | − | 1.54812i | −0.481253 | − | 0.0508194i | ||||
\(929\) | 34.7602 | + | 20.0688i | 1.14044 | + | 0.658436i | 0.946541 | − | 0.322584i | \(-0.104552\pi\) |
0.193904 | + | 0.981020i | \(0.437885\pi\) | |||||||
\(930\) | 24.4390 | + | 16.6122i | 0.801386 | + | 0.544736i | ||||
\(931\) | 1.06166 | − | 0.991206i | 0.0347944 | − | 0.0324855i | ||||
\(932\) | −23.2396 | + | 9.19597i | −0.761239 | + | 0.301224i | ||||
\(933\) | 6.77364 | + | 25.2796i | 0.221759 | + | 0.827616i | ||||
\(934\) | −33.6656 | − | 39.0097i | −1.10157 | − | 1.27643i | ||||
\(935\) | 11.6045 | + | 20.0995i | 0.379506 | + | 0.657324i | ||||
\(936\) | 3.71377 | − | 0.154563i | 0.121388 | − | 0.00505205i | ||||
\(937\) | 3.61135 | 0.117978 | 0.0589888 | − | 0.998259i | \(-0.481212\pi\) | ||||
0.0589888 | + | 0.998259i | \(0.481212\pi\) | |||||||
\(938\) | −27.7829 | + | 12.8444i | −0.907144 | + | 0.419383i | ||||
\(939\) | 0.0404090 | + | 0.0404090i | 0.00131870 | + | 0.00131870i | ||||
\(940\) | −21.6956 | − | 29.2251i | −0.707632 | − | 0.953217i | ||||
\(941\) | −13.6902 | − | 3.66828i | −0.446288 | − | 0.119583i | 0.0286739 | − | 0.999589i | \(-0.490872\pi\) |
−0.474962 | + | 0.880006i | \(0.657538\pi\) | |||||||
\(942\) | 18.9018 | + | 1.38992i | 0.615853 | + | 0.0452859i | ||||
\(943\) | 17.0236 | − | 29.4857i | 0.554363 | − | 0.960185i | ||||
\(944\) | −0.181487 | + | 5.70401i | −0.00590688 | + | 0.185650i | ||||
\(945\) | 38.0646 | + | 10.9025i | 1.23824 | + | 0.354657i | ||||
\(946\) | 14.9366 | + | 10.1530i | 0.485631 | + | 0.330104i | ||||
\(947\) | 11.4723 | + | 42.8152i | 0.372799 | + | 1.39131i | 0.856534 | + | 0.516091i | \(0.172613\pi\) |
−0.483734 | + | 0.875215i | \(0.660720\pi\) | |||||||
\(948\) | 0.358509 | + | 3.10381i | 0.0116438 | + | 0.100807i | ||||
\(949\) | 1.32452 | + | 0.354903i | 0.0429957 | + | 0.0115207i | ||||
\(950\) | 1.38783 | + | 0.483446i | 0.0450272 | + | 0.0156851i | ||||
\(951\) | 20.8115i | 0.674858i | ||||||||
\(952\) | 23.1469 | + | 37.9200i | 0.750195 | + | 1.22900i | ||||
\(953\) | 54.7099i | 1.77223i | 0.463467 | + | 0.886114i | \(0.346605\pi\) | ||||
−0.463467 | + | 0.886114i | \(0.653395\pi\) | |||||||
\(954\) | 5.18290 | − | 14.8786i | 0.167803 | − | 0.481712i | ||||
\(955\) | 16.4175 | + | 4.39905i | 0.531258 | + | 0.142350i | ||||
\(956\) | 12.0823 | + | 9.58018i | 0.390770 | + | 0.309845i | ||||
\(957\) | 0.764238 | + | 2.85217i | 0.0247043 | + | 0.0921977i | ||||
\(958\) | −7.58290 | + | 11.1556i | −0.244992 | + | 0.360420i | ||||
\(959\) | −3.59133 | − | 3.71670i | −0.115970 | − | 0.120018i | ||||
\(960\) | −9.89278 | + | 20.9913i | −0.319288 | + | 0.677491i | ||||
\(961\) | −10.4455 | + | 18.0921i | −0.336951 | + | 0.583616i | ||||
\(962\) | −0.731642 | + | 9.94976i | −0.0235891 | + | 0.320793i | ||||
\(963\) | 21.6721 | + | 5.80701i | 0.698373 | + | 0.187128i | ||||
\(964\) | −3.21100 | + | 21.7155i | −0.103419 | + | 0.699409i | ||||
\(965\) | 0.160744 | + | 0.160744i | 0.00517454 | + | 0.00517454i | ||||
\(966\) | 12.1022 | + | 1.09891i | 0.389381 | + | 0.0353568i | ||||
\(967\) | −57.5321 | −1.85011 | −0.925054 | − | 0.379836i | \(-0.875980\pi\) | ||||
−0.925054 | + | 0.379836i | \(0.875980\pi\) | |||||||
\(968\) | 19.7173 | + | 18.1417i | 0.633739 | + | 0.583095i | ||||
\(969\) | 0.564734 | + | 0.978148i | 0.0181419 | + | 0.0314227i | ||||
\(970\) | −36.0096 | + | 31.0765i | −1.15620 | + | 0.997806i | ||||
\(971\) | −4.23628 | − | 15.8100i | −0.135949 | − | 0.507367i | −0.999992 | − | 0.00395008i | \(-0.998743\pi\) |
0.864044 | − | 0.503417i | \(-0.167924\pi\) | |||||||
\(972\) | 12.8370 | − | 29.6487i | 0.411748 | − | 0.950984i | ||||
\(973\) | 16.7531 | + | 10.0594i | 0.537079 | + | 0.322490i | ||||
\(974\) | −2.21878 | + | 3.26415i | −0.0710944 | + | 0.104590i | ||||
\(975\) | 2.42035 | + | 1.39739i | 0.0775132 | + | 0.0447523i | ||||
\(976\) | −4.68712 | + | 2.51085i | −0.150031 | + | 0.0803705i | ||||
\(977\) | −17.3630 | − | 30.0736i | −0.555491 | − | 0.962139i | −0.997865 | − | 0.0653083i | \(-0.979197\pi\) |
0.442374 | − | 0.896831i | \(-0.354136\pi\) | |||||||
\(978\) | −0.235551 | − | 0.487382i | −0.00753209 | − | 0.0155848i | ||||
\(979\) | 5.33846 | + | 5.33846i | 0.170618 | + | 0.170618i | ||||
\(980\) | −3.56994 | − | 44.1461i | −0.114038 | − | 1.41020i | ||||
\(981\) | 0.0619868 | − | 0.0619868i | 0.00197909 | − | 0.00197909i | ||||
\(982\) | −9.80854 | + | 28.1574i | −0.313003 | + | 0.898539i | ||||
\(983\) | 18.2841 | − | 10.5563i | 0.583173 | − | 0.336695i | −0.179220 | − | 0.983809i | \(-0.557358\pi\) |
0.762393 | + | 0.647114i | \(0.224024\pi\) | |||||||
\(984\) | 11.5556 | − | 22.0881i | 0.368379 | − | 0.704142i | ||||
\(985\) | 5.82439 | − | 10.0881i | 0.185581 | − | 0.321435i | ||||
\(986\) | 4.09777 | + | 21.4926i | 0.130499 | + | 0.684465i | ||||
\(987\) | −7.18391 | + | 11.9642i | −0.228667 | + | 0.380824i | ||||
\(988\) | −0.0929284 | − | 0.234844i | −0.00295645 | − | 0.00747139i | ||||
\(989\) | 35.3584 | − | 9.47426i | 1.12433 | − | 0.301264i | ||||
\(990\) | −11.9059 | − | 0.875483i | −0.378394 | − | 0.0278247i | ||||
\(991\) | 31.5056 | − | 18.1898i | 1.00081 | − | 0.577817i | 0.0923215 | − | 0.995729i | \(-0.470571\pi\) |
0.908488 | + | 0.417912i | \(0.137238\pi\) | |||||||
\(992\) | −38.0357 | − | 14.6218i | −1.20763 | − | 0.464244i | ||||
\(993\) | 14.7364i | 0.467644i | ||||||||
\(994\) | −39.6530 | + | 33.0512i | −1.25772 | + | 1.04832i | ||||
\(995\) | 23.2955 | − | 23.2955i | 0.738516 | − | 0.738516i | ||||
\(996\) | 2.95235 | − | 19.9663i | 0.0935488 | − | 0.632656i | ||||
\(997\) | −12.8788 | + | 48.0643i | −0.407875 | + | 1.52221i | 0.390816 | + | 0.920469i | \(0.372193\pi\) |
−0.798691 | + | 0.601742i | \(0.794474\pi\) | |||||||
\(998\) | −15.1459 | + | 13.0710i | −0.479436 | + | 0.413756i | ||||
\(999\) | 47.4873 | + | 27.4168i | 1.50243 | + | 0.867430i |
(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 | 112.2.v.a.19.4 | yes | 56 | |
4.3 | odd | 2 | 448.2.z.a.47.9 | 56 | |||
7.2 | even | 3 | 784.2.j.a.195.9 | 56 | |||
7.3 | odd | 6 | inner | 112.2.v.a.3.14 | ✓ | 56 | |
7.4 | even | 3 | 784.2.w.f.227.14 | 56 | |||
7.5 | odd | 6 | 784.2.j.a.195.10 | 56 | |||
7.6 | odd | 2 | 784.2.w.f.19.4 | 56 | |||
8.3 | odd | 2 | 896.2.z.a.607.6 | 56 | |||
8.5 | even | 2 | 896.2.z.b.607.9 | 56 | |||
16.3 | odd | 4 | 896.2.z.b.159.9 | 56 | |||
16.5 | even | 4 | 448.2.z.a.271.9 | 56 | |||
16.11 | odd | 4 | inner | 112.2.v.a.75.14 | yes | 56 | |
16.13 | even | 4 | 896.2.z.a.159.6 | 56 | |||
28.3 | even | 6 | 448.2.z.a.367.9 | 56 | |||
56.3 | even | 6 | 896.2.z.a.479.6 | 56 | |||
56.45 | odd | 6 | 896.2.z.b.479.9 | 56 | |||
112.3 | even | 12 | 896.2.z.b.31.9 | 56 | |||
112.11 | odd | 12 | 784.2.w.f.619.4 | 56 | |||
112.27 | even | 4 | 784.2.w.f.411.14 | 56 | |||
112.45 | odd | 12 | 896.2.z.a.31.6 | 56 | |||
112.59 | even | 12 | inner | 112.2.v.a.59.4 | yes | 56 | |
112.75 | even | 12 | 784.2.j.a.587.9 | 56 | |||
112.101 | odd | 12 | 448.2.z.a.143.9 | 56 | |||
112.107 | odd | 12 | 784.2.j.a.587.10 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
112.2.v.a.3.14 | ✓ | 56 | 7.3 | odd | 6 | inner | |
112.2.v.a.19.4 | yes | 56 | 1.1 | even | 1 | trivial | |
112.2.v.a.59.4 | yes | 56 | 112.59 | even | 12 | inner | |
112.2.v.a.75.14 | yes | 56 | 16.11 | odd | 4 | inner | |
448.2.z.a.47.9 | 56 | 4.3 | odd | 2 | |||
448.2.z.a.143.9 | 56 | 112.101 | odd | 12 | |||
448.2.z.a.271.9 | 56 | 16.5 | even | 4 | |||
448.2.z.a.367.9 | 56 | 28.3 | even | 6 | |||
784.2.j.a.195.9 | 56 | 7.2 | even | 3 | |||
784.2.j.a.195.10 | 56 | 7.5 | odd | 6 | |||
784.2.j.a.587.9 | 56 | 112.75 | even | 12 | |||
784.2.j.a.587.10 | 56 | 112.107 | odd | 12 | |||
784.2.w.f.19.4 | 56 | 7.6 | odd | 2 | |||
784.2.w.f.227.14 | 56 | 7.4 | even | 3 | |||
784.2.w.f.411.14 | 56 | 112.27 | even | 4 | |||
784.2.w.f.619.4 | 56 | 112.11 | odd | 12 | |||
896.2.z.a.31.6 | 56 | 112.45 | odd | 12 | |||
896.2.z.a.159.6 | 56 | 16.13 | even | 4 | |||
896.2.z.a.479.6 | 56 | 56.3 | even | 6 | |||
896.2.z.a.607.6 | 56 | 8.3 | odd | 2 | |||
896.2.z.b.31.9 | 56 | 112.3 | even | 12 | |||
896.2.z.b.159.9 | 56 | 16.3 | odd | 4 | |||
896.2.z.b.479.9 | 56 | 56.45 | odd | 6 | |||
896.2.z.b.607.9 | 56 | 8.5 | even | 2 |